LMFDB - Embedded newform 378.2.bf.a.5.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [378,2,Mod(5,378)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(378, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([5, 15]))

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

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

chi := DirichletCharacter("378.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 378 = 2 \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	378.bf (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.01834519640$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$24$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			5.15
Character	$\chi$	$=$	378.5
Dual form			378.2.bf.a.227.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.984808 - 0.173648i) q^{2} +(-1.15375 + 1.29185i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.485901 - 2.75568i) q^{5} +(-0.911891 + 1.47257i) q^{6} +(1.15554 - 2.38007i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-0.337739 - 2.98093i) q^{9} +O(q^{10})$	\(q+(0.984808 - 0.173648i) q^{2} +(-1.15375 + 1.29185i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.485901 - 2.75568i) q^{5} +(-0.911891 + 1.47257i) q^{6} +(1.15554 - 2.38007i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-0.337739 - 2.98093i) q^{9} -2.79820i q^{10} +(-5.64945 + 0.996151i) q^{11} +(-0.642329 + 1.60854i) q^{12} +(2.33645 - 2.78447i) q^{13} +(0.724694 - 2.54457i) q^{14} +(2.99932 + 3.80707i) q^{15} +(0.766044 - 0.642788i) q^{16} +5.58785 q^{17} +(-0.850241 - 2.87699i) q^{18} -0.712930i q^{19} +(-0.485901 - 2.75568i) q^{20} +(1.74148 + 4.23878i) q^{21} +(-5.39065 + 1.96203i) q^{22} +(-1.85787 + 2.21412i) q^{23} +(-0.353250 + 1.69565i) q^{24} +(-2.65923 - 0.967881i) q^{25} +(1.81743 - 3.14789i) q^{26} +(4.24057 + 3.00293i) q^{27} +(0.271825 - 2.63175i) q^{28} +(5.33288 + 6.35548i) q^{29} +(3.61484 + 3.22841i) q^{30} +(-2.13723 - 5.87200i) q^{31} +(0.642788 - 0.766044i) q^{32} +(5.23116 - 8.44754i) q^{33} +(5.50296 - 0.970320i) q^{34} +(-5.99723 - 4.34079i) q^{35} +(-1.33691 - 2.68564i) q^{36} +(2.47833 + 4.29259i) q^{37} +(-0.123799 - 0.702099i) q^{38} +(0.901442 + 6.23090i) q^{39} +(-0.957039 - 2.62944i) q^{40} +(-1.71361 - 1.43789i) q^{41} +(2.45108 + 3.87198i) q^{42} +(6.20646 + 2.25896i) q^{43} +(-4.96805 + 2.86830i) q^{44} +(-8.37860 - 0.517734i) q^{45} +(-1.44517 + 2.50310i) q^{46} +(-6.97189 - 2.53756i) q^{47} +(-0.0534374 + 1.73123i) q^{48} +(-4.32944 - 5.50054i) q^{49} +(-2.78690 - 0.491406i) q^{50} +(-6.44696 + 7.21865i) q^{51} +(1.24320 - 3.41566i) q^{52} +(-9.71326 + 5.60795i) q^{53} +(4.69760 + 2.22094i) q^{54} +16.0521i q^{55} +(-0.189304 - 2.63897i) q^{56} +(0.920997 + 0.822540i) q^{57} +(6.35548 + 5.33288i) q^{58} +(9.15025 + 7.67797i) q^{59} +(4.12053 + 2.55165i) q^{60} +(-2.31288 + 6.35459i) q^{61} +(-3.12442 - 5.41166i) q^{62} +(-7.48508 - 2.64075i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-6.53783 - 7.79149i) q^{65} +(3.68479 - 9.22758i) q^{66} +(1.00154 - 5.67999i) q^{67} +(5.25086 - 1.91116i) q^{68} +(-0.716799 - 4.95462i) q^{69} +(-6.65989 - 3.23344i) q^{70} +(-9.37209 - 5.41098i) q^{71} +(-1.78295 - 2.41269i) q^{72} +(4.08942 + 2.36103i) q^{73} +(3.18608 + 3.79702i) q^{74} +(4.31843 - 2.31863i) q^{75} +(-0.243836 - 0.669935i) q^{76} +(-4.15728 + 14.5972i) q^{77} +(1.96973 + 5.97971i) q^{78} +(2.02295 + 11.4727i) q^{79} +(-1.39910 - 2.42331i) q^{80} +(-8.77186 + 2.01355i) q^{81} +(-1.93726 - 1.11848i) q^{82} +(-2.65763 + 2.23002i) q^{83} +(3.08620 + 3.38753i) q^{84} +(2.71515 - 15.3984i) q^{85} +(6.50443 + 1.14691i) q^{86} +(-14.3631 - 0.443343i) q^{87} +(-4.39449 + 3.68742i) q^{88} +5.23366 q^{89} +(-8.34122 + 0.945061i) q^{90} +(-3.92736 - 8.77847i) q^{91} +(-0.988552 + 2.71603i) q^{92} +(10.0515 + 4.01382i) q^{93} +(-7.30661 - 1.28835i) q^{94} +(-1.96461 - 0.346414i) q^{95} +(0.247999 + 1.71420i) q^{96} +(3.51783 - 9.66515i) q^{97} +(-5.21882 - 4.66518i) q^{98} +(4.87750 + 16.5042i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q + 18 q^{6} - 12 q^{9}+O(q^{10}) $ 144 * q + 18 * q^6 - 12 * q^9	$ 144 q + 18 q^{6} - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 6 q^{21} - 6 q^{23} - 6 q^{29} - 18 q^{30} - 54 q^{35} + 6 q^{36} - 6 q^{39} + 24 q^{42} - 54 q^{47} + 18 q^{49} + 12 q^{50} + 18 q^{51} + 90 q^{53} - 54 q^{54} - 12 q^{56} - 6 q^{57} - 90 q^{59} - 36 q^{60} - 24 q^{63} + 72 q^{64} - 84 q^{65} - 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} + 18 q^{74} - 90 q^{75} - 78 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 90 q^{87} - 18 q^{91} - 42 q^{92} - 12 q^{93} + 78 q^{95} - 36 q^{98} - 108 q^{99}+O(q^{100}) $ 144 * q + 18 * q^6 - 12 * q^9 + 12 * q^11 + 6 * q^14 + 12 * q^15 + 6 * q^21 - 6 * q^23 - 6 * q^29 - 18 * q^30 - 54 * q^35 + 6 * q^36 - 6 * q^39 + 24 * q^42 - 54 * q^47 + 18 * q^49 + 12 * q^50 + 18 * q^51 + 90 * q^53 - 54 * q^54 - 12 * q^56 - 6 * q^57 - 90 * q^59 - 36 * q^60 - 24 * q^63 + 72 * q^64 - 84 * q^65 - 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 + 18 * q^74 - 90 * q^75 - 78 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 90 * q^87 - 18 * q^91 - 42 * q^92 - 12 * q^93 + 78 * q^95 - 36 * q^98 - 108 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/378\mathbb{Z}\right)^\times$.

$n$	$29$	$325$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.984808	−	0.173648i	0.696364	−	0.122788i
$2$	0.984808	−	0.173648i	0.696364	−	0.122788i
$3$	−1.15375	+	1.29185i	−0.666116	+	0.745848i
$3$	−1.15375	+	1.29185i	−0.666116	+	0.745848i
$4$	0.939693	−	0.342020i	0.469846	−	0.171010i
$5$	0.485901	−	2.75568i	0.217302	−	1.23238i	−0.659566	−	0.751647i	$-0.729260\pi$
$5$	0.485901	−	2.75568i	0.217302	−	1.23238i	0.876867	−	0.480732i	$-0.159629\pi$
$6$	−0.911891	+	1.47257i	−0.372278	+	0.601173i
$7$	1.15554	−	2.38007i	0.436754	−	0.899581i
$7$	1.15554	−	2.38007i	0.436754	−	0.899581i
$8$	0.866025	−	0.500000i	0.306186	−	0.176777i
$9$	−0.337739	−	2.98093i	−0.112580	−	0.993643i
$10$		−	2.79820i		−	0.884867i
$11$	−5.64945	+	0.996151i	−1.70337	+	0.300351i	−0.938871	−	0.344269i	$-0.888127\pi$
$11$	−5.64945	+	0.996151i	−1.70337	+	0.300351i	−0.764503	+	0.644620i	$0.777016\pi$
$12$	−0.642329	+	1.60854i	−0.185424	+	0.464347i
$13$	2.33645	−	2.78447i	0.648014	−	0.772273i	−0.337599	−	0.941290i	$-0.609615\pi$
$13$	2.33645	−	2.78447i	0.648014	−	0.772273i	0.985613	+	0.169017i	$0.0540594\pi$
$14$	0.724694	−	2.54457i	0.193683	−	0.680064i
$15$	2.99932	+	3.80707i	0.774420	+	0.982981i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	5.58785			1.35525			0.677627	−	0.735406i	$-0.263009\pi$
$17$	5.58785			1.35525			0.677627	+	0.735406i	$0.263009\pi$
$18$	−0.850241	−	2.87699i	−0.200404	−	0.678114i
$19$		−	0.712930i		−	0.163557i	−0.996651	−	0.0817787i	$-0.973940\pi$
$19$		−	0.712930i		−	0.163557i	0.996651	−	0.0817787i	$-0.0260601\pi$
$20$	−0.485901	−	2.75568i	−0.108651	−	0.616190i
$21$	1.74148	+	4.23878i	0.380022	+	0.924977i
$22$	−5.39065	+	1.96203i	−1.14929	+	0.418307i
$23$	−1.85787	+	2.21412i	−0.387393	+	0.461677i	−0.924133	−	0.382071i	$-0.875211\pi$
$23$	−1.85787	+	2.21412i	−0.387393	+	0.461677i	0.536740	+	0.843748i	$0.319656\pi$
$24$	−0.353250	+	1.69565i	−0.0721068	+	0.346122i
$25$	−2.65923	−	0.967881i	−0.531846	−	0.193576i
$26$	1.81743	−	3.14789i	0.356428	−	0.617351i
$27$	4.24057	+	3.00293i	0.816098	+	0.577914i
$28$	0.271825	−	2.63175i	0.0513700	−	0.497354i
$29$	5.33288	+	6.35548i	0.990291	+	1.18018i	0.983629	+	0.180205i	$0.0576763\pi$
$29$	5.33288	+	6.35548i	0.990291	+	1.18018i	0.00666231	+	0.999978i	$0.497879\pi$
$30$	3.61484	+	3.22841i	0.659977	+	0.589424i
$31$	−2.13723	−	5.87200i	−0.383858	−	1.05464i	−0.969718	−	0.244229i	$-0.921465\pi$
$31$	−2.13723	−	5.87200i	−0.383858	−	1.05464i	0.585859	−	0.810413i	$-0.300757\pi$
$32$	0.642788	−	0.766044i	0.113630	−	0.135419i
$33$	5.23116	−	8.44754i	0.910628	−	1.47053i
$34$	5.50296	−	0.970320i	0.943750	−	0.166409i
$35$	−5.99723	−	4.34079i	−1.01372	−	0.733728i
$36$	−1.33691	−	2.68564i	−0.222818	−	0.447607i
$37$	2.47833	+	4.29259i	0.407434	+	0.705697i	0.994601	−	0.103769i	$-0.0330901\pi$
$37$	2.47833	+	4.29259i	0.407434	+	0.705697i	−0.587167	+	0.809466i	$0.699757\pi$
$38$	−0.123799	−	0.702099i	−0.0200828	−	0.113895i
$39$	0.901442	+	6.23090i	0.144346	+	0.997743i
$40$	−0.957039	−	2.62944i	−0.151321	−	0.415751i
$41$	−1.71361	−	1.43789i	−0.267621	−	0.224561i	0.499095	−	0.866547i	$-0.333666\pi$
$41$	−1.71361	−	1.43789i	−0.267621	−	0.224561i	−0.766716	+	0.641987i	$0.778110\pi$
$42$	2.45108	+	3.87198i	0.378210	+	0.597459i
$43$	6.20646	+	2.25896i	0.946476	+	0.344489i	0.768720	−	0.639586i	$-0.220894\pi$
$43$	6.20646	+	2.25896i	0.946476	+	0.344489i	0.177756	+	0.984075i	$0.443116\pi$
$44$	−4.96805	+	2.86830i	−0.748961	+	0.432413i
$45$	−8.37860	−	0.517734i	−1.24901	−	0.0771793i
$46$	−1.44517	+	2.50310i	−0.213078	+	0.369062i
$47$	−6.97189	−	2.53756i	−1.01695	−	0.370141i	−0.220855	−	0.975307i	$-0.570885\pi$
$47$	−6.97189	−	2.53756i	−1.01695	−	0.370141i	−0.796100	+	0.605165i	$0.793107\pi$
$48$	−0.0534374	+	1.73123i	−0.00771302	+	0.249881i
$49$	−4.32944	−	5.50054i	−0.618491	−	0.785792i
$50$	−2.78690	−	0.491406i	−0.394128	−	0.0694953i
$51$	−6.44696	+	7.21865i	−0.902755	+	1.01081i
$52$	1.24320	−	3.41566i	0.172400	−	0.473666i
$53$	−9.71326	+	5.60795i	−1.33422	+	0.770312i	−0.985943	−	0.167081i	$-0.946566\pi$
$53$	−9.71326	+	5.60795i	−1.33422	+	0.770312i	−0.348275	+	0.937392i	$0.613233\pi$
$54$	4.69760	+	2.22094i	0.639262	+	0.302231i
$55$			16.0521i			2.16447i
$56$	−0.189304	−	2.63897i	−0.0252968	−	0.352647i
$57$	0.920997	+	0.822540i	0.121989	+	0.108948i
$58$	6.35548	+	5.33288i	0.834516	+	0.700242i
$59$	9.15025	+	7.67797i	1.19126	+	0.999587i	0.999837	+	0.0180796i	$0.00575523\pi$
$59$	9.15025	+	7.67797i	1.19126	+	0.999587i	0.191425	+	0.981507i	$0.438689\pi$
$60$	4.12053	+	2.55165i	0.531958	+	0.329417i
$61$	−2.31288	+	6.35459i	−0.296134	+	0.813622i	0.699003	+	0.715119i	$0.253628\pi$
$61$	−2.31288	+	6.35459i	−0.296134	+	0.813622i	−0.995137	+	0.0985027i	$0.968595\pi$
$62$	−3.12442	−	5.41166i	−0.396802	−	0.687282i
$63$	−7.48508	−	2.64075i	−0.943032	−	0.332703i
$64$	0.500000	−	0.866025i	0.0625000	−	0.108253i
$65$	−6.53783	−	7.79149i	−0.810918	−	0.966415i
$66$	3.68479	−	9.22758i	0.453566	−	1.13584i
$67$	1.00154	−	5.67999i	0.122357	−	0.693921i	−0.860486	−	0.509475i	$-0.829840\pi$
$67$	1.00154	−	5.67999i	0.122357	−	0.693921i	0.982843	−	0.184446i	$-0.0590492\pi$
$68$	5.25086	−	1.91116i	0.636761	−	0.231762i
$69$	−0.716799	−	4.95462i	−0.0862925	−	0.596466i
$70$	−6.65989	−	3.23344i	−0.796009	−	0.386469i
$71$	−9.37209	−	5.41098i	−1.11226	−	0.642165i	−0.172848	−	0.984948i	$-0.555297\pi$
$71$	−9.37209	−	5.41098i	−1.11226	−	0.642165i	−0.939414	+	0.342783i	$0.888630\pi$
$72$	−1.78295	−	2.41269i	−0.210123	−	0.284338i
$73$	4.08942	+	2.36103i	0.478631	+	0.276338i	0.719846	−	0.694134i	$-0.244213\pi$
$73$	4.08942	+	2.36103i	0.478631	+	0.276338i	−0.241215	+	0.970472i	$0.577546\pi$
$74$	3.18608	+	3.79702i	0.370374	+	0.441394i
$75$	4.31843	−	2.31863i	0.498650	−	0.267733i
$76$	−0.243836	−	0.669935i	−0.0279700	−	0.0768468i
$77$	−4.15728	+	14.5972i	−0.473766	+	1.66350i
$78$	1.96973	+	5.97971i	0.223028	+	0.677068i
$79$	2.02295	+	11.4727i	0.227599	+	1.29078i	0.857653	+	0.514229i	$0.171922\pi$
$79$	2.02295	+	11.4727i	0.227599	+	1.29078i	−0.630054	+	0.776552i	$0.716967\pi$
$80$	−1.39910	−	2.42331i	−0.156424	−	0.270934i
$81$	−8.77186	+	2.01355i	−0.974652	+	0.223728i
$82$	−1.93726	−	1.11848i	−0.213935	−	0.123515i
$83$	−2.65763	+	2.23002i	−0.291713	+	0.244776i	−0.776885	−	0.629642i	$-0.783201\pi$
$83$	−2.65763	+	2.23002i	−0.291713	+	0.244776i	0.485172	+	0.874419i	$0.338757\pi$
$84$	3.08620	+	3.38753i	0.336732	+	0.369610i
$85$	2.71515	−	15.3984i	0.294499	−	1.67019i
$86$	6.50443	+	1.14691i	0.701391	+	0.123674i
$87$	−14.3631	−	0.443343i	−1.53989	−	0.0475313i
$88$	−4.39449	+	3.68742i	−0.468455	+	0.393080i
$89$	5.23366			0.554767			0.277383	−	0.960759i	$-0.410533\pi$
$89$	5.23366			0.554767			0.277383	+	0.960759i	$0.410533\pi$
$90$	−8.34122	+	0.945061i	−0.879242	+	0.0996181i
$91$	−3.92736	−	8.77847i	−0.411699	−	0.920234i
$92$	−0.988552	+	2.71603i	−0.103064	+	0.283165i
$93$	10.0515	+	4.01382i	1.04230	+	0.416213i
$94$	−7.30661	−	1.28835i	−0.753620	−	0.132883i
$95$	−1.96461	−	0.346414i	−0.201565	−	0.0355413i
$96$	0.247999	+	1.71420i	0.0253113	+	0.174955i
$97$	3.51783	−	9.66515i	0.357181	−	0.981347i	−0.622822	−	0.782364i	$-0.714014\pi$
$97$	3.51783	−	9.66515i	0.357181	−	0.981347i	0.980003	−	0.198983i	$-0.0637640\pi$
$98$	−5.21882	−	4.66518i	−0.527181	−	0.471254i
$99$	4.87750	+	16.5042i	0.490207	+	1.65873i
$100$	−2.82990			−0.282990
$101$	−0.730030	+	0.612568i	−0.0726407	+	0.0609528i	−0.678385	−	0.734707i	$-0.737320\pi$
$101$	−0.730030	+	0.612568i	−0.0726407	+	0.0609528i	0.605744	+	0.795659i	$0.292875\pi$
$102$	−5.09551	+	8.22849i	−0.504531	+	0.814742i
$103$	13.8800	+	2.44741i	1.36763	+	0.241151i	0.808778	−	0.588114i	$-0.200129\pi$
$103$	13.8800	+	2.44741i	1.36763	+	0.241151i	0.558856	+	0.829265i	$0.311241\pi$
$104$	0.631188	−	3.57964i	0.0618930	−	0.351013i
$105$	12.5269	−	2.73934i	1.22250	−	0.267332i
$106$	−8.59188	+	7.20944i	−0.834517	+	0.700243i
$107$	2.45813	+	1.41920i	0.237636	+	0.137199i	0.614090	−	0.789236i	$-0.289523\pi$
$107$	2.45813	+	1.41920i	0.237636	+	0.137199i	−0.376454	+	0.926435i	$0.622857\pi$
$108$	5.01189	+	1.37147i	0.482270	+	0.131970i
$109$	−0.586960	−	1.01664i	−0.0562206	−	0.0973769i	0.836545	−	0.547898i	$-0.184572\pi$
$109$	−0.586960	−	1.01664i	−0.0562206	−	0.0973769i	−0.892766	+	0.450521i	$0.851238\pi$
$110$	2.78742	+	15.8083i	0.265771	+	1.50726i
$111$	−8.40473	−	1.75094i	−0.797742	−	0.166192i
$112$	−0.644680	−	2.56601i	−0.0609165	−	0.242465i
$113$	−3.47943	−	9.55965i	−0.327317	−	0.899296i	−0.988788	−	0.149325i	$-0.952290\pi$
$113$	−3.47943	−	9.55965i	−0.327317	−	0.899296i	0.661471	−	0.749971i	$-0.269932\pi$
$114$	1.04984	+	0.650115i	0.0983263	+	0.0608888i
$115$	5.19868	+	6.19555i	0.484780	+	0.577738i
$116$	7.18497	+	4.14825i	0.667108	+	0.385155i
$117$	−9.08941	−	6.02435i	−0.840316	−	0.556952i
$118$	10.3445	+	5.97240i	0.952289	+	0.549804i
$119$	6.45700	−	13.2995i	0.591913	−	1.21916i
$120$	4.50102	+	1.79736i	0.410885	+	0.164076i
$121$	20.5874	−	7.49319i	1.87158	−	0.681200i
$122$	−1.17428	+	6.65968i	−0.106314	+	0.602939i
$123$	3.83461	−	0.554763i	0.345755	−	0.0500213i
$124$	−4.01668	−	4.78690i	−0.360709	−	0.429876i
$125$	3.03619	−	5.25883i	0.271565	−	0.470364i
$126$	−7.82993	−	1.30086i	−0.697545	−	0.115890i
$127$	4.49731	+	7.78957i	0.399072	+	0.691213i	0.993612	−	0.112853i	$-0.0359990\pi$
$127$	4.49731	+	7.78957i	0.399072	+	0.691213i	−0.594540	+	0.804066i	$0.702666\pi$
$128$	0.342020	−	0.939693i	0.0302306	−	0.0830579i
$129$	−10.0789	+	5.41152i	−0.887399	+	0.476458i
$130$	−7.79149	−	6.53783i	−0.683358	−	0.573406i
$131$	11.6399	+	9.76700i	1.01698	+	0.853347i	0.989245	−	0.146268i	$-0.0467263\pi$
$131$	11.6399	+	9.76700i	1.01698	+	0.853347i	0.0277344	+	0.999615i	$0.491171\pi$
$132$	2.02645	−	9.72725i	0.176380	−	0.846648i
$133$	−1.69682	−	0.823821i	−0.147133	−	0.0714344i
$134$		−	5.76761i		−	0.498246i
$135$	10.3356	−	10.2265i	0.889548	−	0.880161i
$136$	4.83922	−	2.79393i	0.414960	−	0.239577i
$137$	−0.899069	+	2.47017i	−0.0768127	+	0.211041i	−0.972156	−	0.234336i	$-0.924708\pi$
$137$	−0.899069	+	2.47017i	−0.0768127	+	0.211041i	0.895343	+	0.445377i	$0.146931\pi$
$138$	−1.56627	−	4.75488i	−0.133330	−	0.404762i
$139$	4.27522	+	0.753837i	0.362620	+	0.0639396i	0.351990	−	0.936004i	$-0.385505\pi$
$139$	4.27522	+	0.753837i	0.362620	+	0.0639396i	0.0106300	+	0.999944i	$0.496616\pi$
$140$	−7.12019	−	2.02783i	−0.601766	−	0.171383i
$141$	11.3219	−	6.07892i	0.953479	−	0.511937i
$142$	−10.1693	−	3.70133i	−0.853390	−	0.310609i
$143$	−10.4259	+	18.0582i	−0.871857	+	1.51010i
$144$	−2.17483	−	2.06643i	−0.181236	−	0.172202i
$145$	20.1050	−	11.6076i	1.66963	−	0.963959i
$146$	4.43728	+	1.61504i	0.367232	+	0.133662i
$147$	12.1009	+	0.753255i	0.998068	+	0.0621274i
$148$	3.79702	+	3.18608i	0.312113	+	0.261894i
$149$	0.544573	+	1.49620i	0.0446132	+	0.122574i	0.959999	−	0.280005i	$-0.0903362\pi$
$149$	0.544573	+	1.49620i	0.0446132	+	0.122574i	−0.915385	+	0.402579i	$0.868114\pi$
$150$	3.85020	−	3.03330i	0.314368	−	0.247668i
$151$	−0.0788217	−	0.447020i	−0.00641442	−	0.0363780i	0.981433	−	0.191808i	$-0.0614349\pi$
$151$	−0.0788217	−	0.447020i	−0.00641442	−	0.0363780i	−0.987847	+	0.155430i	$0.950324\pi$
$152$	−0.356465	−	0.617415i	−0.0289131	−	0.0500790i
$153$	−1.88724	−	16.6570i	−0.152574	−	1.34664i
$154$	−1.55935	+	15.0973i	−0.125656	+	1.21658i
$155$	−17.2199	+	3.03632i	−1.38313	+	0.243883i
$156$	2.97817	+	5.54682i	0.238445	+	0.444101i
$157$	−5.91330	+	7.04719i	−0.471933	+	0.562427i	−0.948527	−	0.316696i	$-0.897427\pi$
$157$	−5.91330	+	7.04719i	−0.471933	+	0.562427i	0.476595	+	0.879123i	$0.341871\pi$
$158$	3.98443	+	10.9471i	0.316984	+	0.870907i
$159$	3.96202	−	19.0182i	0.314208	−	1.50824i
$160$	−1.79865	−	2.14354i	−0.142195	−	0.169462i
$161$	3.12291	+	6.98037i	0.246120	+	0.550131i
$162$	−8.28895	+	3.50618i	−0.651241	+	0.275472i
$163$	−1.01182	+	1.75252i	−0.0792517	+	0.137268i	−0.902927	−	0.429793i	$-0.858586\pi$
$163$	−1.01182	+	1.75252i	−0.0792517	+	0.137268i	0.823676	+	0.567061i	$0.191920\pi$
$164$	−2.10205	−	0.765085i	−0.164143	−	0.0597431i
$165$	−20.7369	−	18.5201i	−1.61437	−	1.44179i
$166$	−2.23002	+	2.65763i	−0.173083	+	0.206272i
$167$	−1.94164	+	0.706698i	−0.150248	+	0.0546859i	−0.416050	−	0.909342i	$-0.636586\pi$
$167$	−1.94164	+	0.706698i	−0.150248	+	0.0546859i	0.265801	+	0.964028i	$0.414364\pi$
$168$	3.62756	+	2.80015i	0.279872	+	0.216036i
$169$	−0.0368559	−	0.209020i	−0.00283507	−	0.0160785i
$170$		−	15.6359i		−	1.19922i
$171$	−2.12519	+	0.240784i	−0.162518	+	0.0184133i
$172$	6.60477			0.503609
$173$	−9.65557	+	8.10198i	−0.734099	+	0.615982i	−0.931246	−	0.364392i	$-0.881277\pi$
$173$	−9.65557	+	8.10198i	−0.734099	+	0.615982i	0.197147	+	0.980374i	$0.436832\pi$
$174$	−14.2219	+	2.05752i	−1.07816	+	0.155980i
$175$	−5.37648	+	5.21072i	−0.406424	+	0.393894i
$176$	−3.68742	+	4.39449i	−0.277950	+	0.331247i
$177$	−20.4758	+	2.96230i	−1.53906	+	0.222660i
$178$	5.15415	−	0.908815i	0.386320	−	0.0681186i
$179$		−	22.5156i		−	1.68289i	−0.540341	−	0.841446i	$-0.681705\pi$
$179$		−	22.5156i		−	1.68289i	0.540341	−	0.841446i	$-0.318295\pi$
$180$	−8.05039	+	2.37914i	−0.600041	+	0.177331i
$181$	−13.4323	+	7.75511i	−0.998411	+	0.576433i	−0.907778	−	0.419451i	$-0.862223\pi$
$181$	−13.4323	+	7.75511i	−0.998411	+	0.576433i	−0.0906335	+	0.995884i	$0.528889\pi$
$182$	−5.39206	−	7.96313i	−0.399686	−	0.590266i
$183$	−5.54068	−	10.3195i	−0.409579	−	0.762837i
$184$	−0.501901	+	2.84642i	−0.0370006	+	0.209841i
$185$	13.0332	−	4.74371i	0.958223	−	0.348765i
$186$	10.5958	+	2.20740i	0.776924	+	0.161855i
$187$	−31.5683	+	5.56634i	−2.30850	+	0.407051i
$188$	−7.41933			−0.541110
$189$	12.0473	−	6.62283i	0.876314	−	0.481740i
$190$	−1.99492			−0.144726
$191$	21.7491	−	3.83495i	1.57371	−	0.277488i	0.682433	−	0.730948i	$-0.260922\pi$
$191$	21.7491	−	3.83495i	1.57371	−	0.277488i	0.891277	+	0.453460i	$0.149811\pi$
$192$	0.541900	+	1.64510i	0.0391082	+	0.118725i
$193$	−4.50726	+	1.64051i	−0.324439	+	0.118086i	−0.499105	−	0.866542i	$-0.666338\pi$
$193$	−4.50726	+	1.64051i	−0.324439	+	0.118086i	0.174666	+	0.984628i	$0.444116\pi$
$194$	1.78605	−	10.1292i	0.128231	−	0.727233i
$195$	17.6084	+	0.543515i	1.26096	+	0.0389219i
$196$	−5.94964	−	3.68806i	−0.424974	−	0.263433i
$197$	−16.7416	+	9.66579i	−1.19279	+	0.688659i	−0.958939	−	0.283613i	$-0.908467\pi$
$197$	−16.7416	+	9.66579i	−1.19279	+	0.688659i	−0.233854	+	0.972272i	$0.575134\pi$
$198$	7.66932	+	15.4065i	0.545035	+	1.09489i
$199$			0.457798i			0.0324524i	0.999868	+	0.0162262i	$0.00516519\pi$
$199$			0.457798i			0.0324524i	−0.999868	+	0.0162262i	$0.994835\pi$
$200$	−2.78690	+	0.491406i	−0.197064	+	0.0347477i
$201$	6.18216	+	7.84710i	0.436056	+	0.553492i
$202$	−0.612568	+	0.730030i	−0.0431002	+	0.0513648i
$203$	21.2888	−	5.34858i	1.49418	−	0.375397i
$204$	−3.58924	+	8.98830i	−0.251297	+	0.629307i
$205$	−4.79502	+	4.02350i	−0.334898	+	0.281013i
$206$	14.0941			0.981981
$207$	7.22762	+	4.79038i	0.502354	+	0.332955i
$208$		−	3.63487i		−	0.252033i
$209$	0.710186	+	4.02766i	0.0491246	+	0.278599i
$210$	11.8609	−	4.87300i	0.818482	−	0.336269i
$211$	18.0058	−	6.55357i	1.23957	−	0.451166i	0.362704	−	0.931904i	$-0.381853\pi$
$211$	18.0058	−	6.55357i	1.23957	−	0.451166i	0.876864	+	0.480738i	$0.159631\pi$
$212$	−7.20944	+	8.59188i	−0.495147	+	0.590093i
$213$	17.8032	−	5.86441i	1.21985	−	0.401823i
$214$	2.66723	+	0.970791i	0.182328	+	0.0663619i
$215$	9.24072	−	16.0054i	0.630212	−	1.09156i
$216$	5.17390	+	0.480326i	0.352040	+	0.0326820i
$217$	−16.4454	−	1.69859i	−1.11639	−	0.115308i
$218$	−0.754581	−	0.899275i	−0.0511067	−	0.0609066i
$219$	−7.76825	+	2.55888i	−0.524929	+	0.172913i
$220$	5.49015	+	15.0841i	0.370146	+	1.01697i
$221$	13.0557	−	15.5592i	0.878222	−	1.04662i
$222$	−8.58109	−	0.264871i	−0.575925	−	0.0177770i
$223$	−15.1253	+	2.66700i	−1.01286	+	0.178595i	−0.655360	−	0.755317i	$-0.727483\pi$
$223$	−15.1253	+	2.66700i	−1.01286	+	0.178595i	−0.357504	+	0.933912i	$0.616372\pi$
$224$	−1.08047	−	2.41508i	−0.0721918	−	0.161364i
$225$	−1.98706	+	8.25387i	−0.132470	+	0.550258i
$226$	−5.08658	−	8.81022i	−0.338354	−	0.586047i
$227$	0.818898	+	4.64420i	0.0543522	+	0.308247i	0.999849	−	0.0173852i	$-0.00553416\pi$
$227$	0.818898	+	4.64420i	0.0543522	+	0.308247i	−0.945497	+	0.325632i	$0.894423\pi$
$228$	1.14678	+	0.457936i	0.0759473	+	0.0303275i
$229$	−0.568707	−	1.56251i	−0.0375812	−	0.103253i	0.919483	−	0.393130i	$-0.128608\pi$
$229$	−0.568707	−	1.56251i	−0.0375812	−	0.103253i	−0.957064	+	0.289877i	$0.906386\pi$
$230$	6.19555	+	5.19868i	0.408523	+	0.342791i
$231$	−14.0609	−	22.2120i	−0.925137	−	1.46144i
$232$	7.79615	+	2.83757i	0.511842	+	0.186295i
$233$	−7.70622	+	4.44919i	−0.504852	+	0.291476i	−0.730715	−	0.682683i	$-0.760813\pi$
$233$	−7.70622	+	4.44919i	−0.504852	+	0.291476i	0.225863	+	0.974159i	$0.427480\pi$
$234$	−9.99744	−	4.35447i	−0.653553	−	0.284661i
$235$	−10.3804	+	17.9793i	−0.677140	+	1.17284i
$236$	11.2244	+	4.08536i	0.730649	+	0.265935i
$237$	−17.1550	−	10.6233i	−1.11433	−	0.690054i
$238$	4.04948	−	14.2187i	0.262489	−	0.921659i
$239$	26.0000	+	4.58450i	1.68180	+	0.296546i	0.931280	−	0.364303i	$-0.118693\pi$
$239$	26.0000	+	4.58450i	1.68180	+	0.296546i	0.750518	+	0.660850i	$0.229804\pi$
$240$	4.74475	+	0.988462i	0.306272	+	0.0638049i
$241$	2.87628	−	7.90251i	0.185277	−	0.509046i	−0.811928	−	0.583758i	$-0.801582\pi$
$241$	2.87628	−	7.90251i	0.185277	−	0.509046i	0.997205	+	0.0747125i	$0.0238039\pi$
$242$	18.9734	−	10.9543i	1.21966	−	0.704170i
$243$	7.51930	−	13.6550i	0.482363	−	0.875971i
$244$			6.76241i			0.432919i
$245$	−17.2614	+	9.25785i	−1.10279	+	0.591462i
$246$	3.68002	−	1.21221i	0.234629	−	0.0772875i
$247$	−1.98513	−	1.66572i	−0.126311	−	0.105987i
$248$	−4.78690	−	4.01668i	−0.303968	−	0.255060i
$249$	0.185390	−	6.00613i	0.0117486	−	0.380623i
$250$	2.07687	−	5.70617i	0.131353	−	0.360890i
$251$	−7.84630	−	13.5902i	−0.495254	−	0.857805i	0.504731	−	0.863277i	$-0.331592\pi$
$251$	−7.84630	−	13.5902i	−0.495254	−	0.857805i	−0.999985	+	0.00547171i	$0.998258\pi$
$252$	−7.93687	+	0.0785559i	−0.499976	+	0.00494856i
$253$	8.29035	−	14.3593i	0.521210	−	0.902762i
$254$	5.78163	+	6.89028i	0.362772	+	0.432335i
$255$	16.7597	+	21.2733i	1.04954	+	1.33219i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	−0.487420	+	0.177407i	−0.0304045	+	0.0110663i	−0.357178	−	0.934036i	$-0.616261\pi$
$257$	−0.487420	+	0.177407i	−0.0304045	+	0.0110663i	0.326773	+	0.945103i	$0.394039\pi$
$258$	−8.98609	+	7.07949i	−0.559450	+	0.440750i
$259$	13.0805	−	0.938313i	0.812780	−	0.0583039i
$260$	−8.80840	−	5.08553i	−0.546274	−	0.315391i
$261$	17.1441	−	18.0434i	1.06119	−	1.11686i
$262$	13.1590	+	7.59738i	0.812969	+	0.469368i
$263$	11.2941	+	13.4598i	0.696427	+	0.829969i	0.992117	−	0.125315i	$-0.0399940\pi$
$263$	11.2941	+	13.4598i	0.696427	+	0.829969i	−0.295690	+	0.955284i	$0.595550\pi$
$264$	0.306549	−	9.93136i	0.0188668	−	0.611233i
$265$	10.7341	+	29.4916i	0.659388	+	1.81165i
$266$	−1.81410	−	0.516656i	−0.111229	−	0.0316782i
$267$	−6.03831	+	6.76109i	−0.369539	+	0.413772i
$268$	−1.00154	−	5.67999i	−0.0611785	−	0.346961i
$269$	3.95867	+	6.85662i	0.241364	+	0.418055i	0.961103	−	0.276190i	$-0.0890718\pi$
$269$	3.95867	+	6.85662i	0.241364	+	0.418055i	−0.719739	+	0.694245i	$0.755738\pi$
$270$	8.40277	−	11.8659i	0.511377	−	0.722138i
$271$	−23.5397	−	13.5907i	−1.42993	−	0.825573i	−0.432820	−	0.901480i	$-0.642481\pi$
$271$	−23.5397	−	13.5907i	−1.42993	−	0.825573i	−0.997115	+	0.0759071i	$0.975815\pi$
$272$	4.28054	−	3.59180i	0.259546	−	0.217785i
$273$	15.8716	+	5.05458i	0.960594	+	0.305917i
$274$	−0.456470	+	2.58877i	−0.0275763	+	0.156393i
$275$	15.9874	+	2.81900i	0.964074	+	0.169992i
$276$	−2.36815	−	4.41066i	−0.142546	−	0.265491i
$277$	−20.8714	+	17.5131i	−1.25404	+	1.05226i	−0.257747	+	0.966212i	$0.582980\pi$
$277$	−20.8714	+	17.5131i	−1.25404	+	1.05226i	−0.996291	+	0.0860506i	$0.972575\pi$
$278$	4.34118			0.260366
$279$	−16.7822	+	8.35414i	−1.00472	+	0.500149i
$280$	−7.36415	−	0.760618i	−0.440092	−	0.0454556i
$281$	−1.18059	+	3.24364i	−0.0704281	+	0.193500i	−0.969913	−	0.243453i	$-0.921720\pi$
$281$	−1.18059	+	3.24364i	−0.0704281	+	0.193500i	0.899485	+	0.436952i	$0.143942\pi$
$282$	10.0943	−	7.95260i	0.601109	−	0.473570i
$283$	−18.8883	−	3.33052i	−1.12279	−	0.197979i	−0.418727	−	0.908112i	$-0.637523\pi$
$283$	−18.8883	−	3.33052i	−1.12279	−	0.197979i	−0.704067	+	0.710134i	$0.748635\pi$
$284$	−10.6575	−	1.87921i	−0.632409	−	0.111511i
$285$	2.71417	−	2.13830i	0.160774	−	0.126662i
$286$	−7.13173	+	19.5943i	−0.421708	+	1.15863i
$287$	−5.40243	+	2.41696i	−0.318895	+	0.142669i
$288$	−2.50062	−	1.65738i	−0.147350	−	0.0976621i
$289$	14.2241			0.836711
$290$	17.7839	−	14.9224i	1.04431	−	0.876276i
$291$	8.42722	+	15.6956i	0.494012	+	0.920094i
$292$	4.65032	+	0.819977i	0.272139	+	0.0479855i
$293$	4.58982	−	26.0302i	0.268140	−	1.52070i	−0.491802	−	0.870707i	$-0.663662\pi$
$293$	4.58982	−	26.0302i	0.268140	−	1.52070i	0.759942	−	0.649991i	$-0.225227\pi$
$294$	12.0479	−	1.35949i	0.702648	−	0.0792873i
$295$	25.6042	−	21.4845i	1.49073	−	1.25087i
$296$	4.29259	+	2.47833i	0.249502	+	0.144050i
$297$	−26.9483	−	12.7406i	−1.56370	−	0.739287i
$298$	0.796112	+	1.37891i	0.0461176	+	0.0798779i
$299$	1.82434	+	10.3464i	0.105504	+	0.598346i
$300$	3.26498	−	3.65579i	0.188504	−	0.211067i
$301$	12.5483	−	12.1614i	0.723273	−	0.700974i
$302$	−0.155248	−	0.426542i	−0.00893354	−	0.0245447i
$303$	0.0509251	−	1.64984i	0.00292557	−	0.0947806i
$304$	−0.458263	−	0.546136i	−0.0262832	−	0.0313230i
$305$	16.3874	+	9.46127i	0.938340	+	0.541751i
$306$	−4.75102	−	16.0762i	−0.271598	−	0.919016i
$307$	6.01595	+	3.47331i	0.343349	+	0.198232i	0.661752	−	0.749723i	$-0.269813\pi$
$307$	6.01595	+	3.47331i	0.343349	+	0.198232i	−0.318403	+	0.947955i	$0.603147\pi$
$308$	1.08596	+	15.1387i	0.0618783	+	0.862609i
$309$	−19.1756	+	15.1071i	−1.09086	+	0.859413i
$310$	−16.4310	+	5.98039i	−0.933218	+	0.339663i
$311$	1.87187	−	10.6159i	0.106144	−	0.601973i	−0.884613	−	0.466326i	$-0.845577\pi$
$311$	1.87187	−	10.6159i	0.106144	−	0.601973i	0.990757	−	0.135647i	$-0.0433114\pi$
$312$	3.89612	+	4.94540i	0.220575	+	0.279978i
$313$	11.0582	+	13.1786i	0.625045	+	0.744900i	0.981929	−	0.189249i	$-0.0606053\pi$
$313$	11.0582	+	13.1786i	0.625045	+	0.744900i	−0.356884	+	0.934149i	$0.616161\pi$
$314$	−4.59973	+	7.96696i	−0.259578	+	0.449602i
$315$	−10.9141	+	19.3434i	−0.614939	+	1.08988i
$316$	5.82484	+	10.0889i	0.327673	+	0.567547i
$317$	−1.34139	+	3.68544i	−0.0753400	+	0.206995i	−0.971646	−	0.236442i	$-0.924019\pi$
$317$	−1.34139	+	3.68544i	−0.0753400	+	0.206995i	0.896306	+	0.443437i	$0.146241\pi$
$318$	0.599349	−	19.4173i	0.0336098	−	1.08887i
$319$	−36.4589	−	30.5926i	−2.04131	−	1.71286i
$320$	−2.14354	−	1.79865i	−0.119828	−	0.100547i
$321$	−4.66945	+	1.53813i	−0.260623	+	0.0858500i
$322$	4.28760	+	6.33204i	0.238939	+	0.352871i
$323$		−	3.98375i		−	0.221662i
$324$	−7.55418	+	4.89228i	−0.419677	+	0.271793i
$325$	−8.90819	+	5.14314i	−0.494137	+	0.285290i
$326$	−0.692124	+	1.90160i	−0.0383332	+	0.105320i
$327$	1.99055	+	0.414687i	0.110078	+	0.0229322i
$328$	−2.20297	−	0.388444i	−0.121639	−	0.0214482i
$329$	−14.0959	+	13.6613i	−0.777131	+	0.753172i
$330$	−23.6379	−	14.6378i	−1.30122	−	0.805785i
$331$	−10.4377	−	3.79901i	−0.573708	−	0.208813i	0.0388407	−	0.999245i	$-0.487634\pi$
$331$	−10.4377	−	3.79901i	−0.573708	−	0.208813i	−0.612549	+	0.790433i	$0.709856\pi$
$332$	−1.73465	+	3.00450i	−0.0952011	+	0.164893i
$333$	11.9589	−	8.83749i	0.655342	−	0.484292i
$334$	−1.78942	+	1.03312i	−0.0979128	+	0.0565300i
$335$	−15.1656	−	5.51983i	−0.828586	−	0.301581i
$336$	4.05869	+	2.12769i	0.221419	+	0.116075i
$337$	−13.7329	−	11.5233i	−0.748078	−	0.627712i	0.186916	−	0.982376i	$-0.440151\pi$
$337$	−13.7329	−	11.5233i	−0.748078	−	0.627712i	−0.934994	+	0.354664i	$0.884595\pi$
$338$	−0.0725919	−	0.199445i	−0.00394848	−	0.0108484i
$339$	16.3640	+	6.53452i	0.888770	+	0.354906i
$340$	−2.71515	−	15.3984i	−0.147249	−	0.835093i
$341$	17.9236	+	31.0446i	0.970617	+	1.68116i
$342$	−2.05109	+	0.606162i	−0.110910	+	0.0327775i
$343$	−18.0945	+	3.94824i	−0.977012	+	0.213185i
$344$	6.50443	−	1.14691i	0.350695	−	0.0618371i
$345$	−14.0017	−	0.432186i	−0.753825	−	0.0232681i
$346$	−8.10198	+	9.65557i	−0.435565	+	0.519086i
$347$	0.0498471	+	0.136954i	0.00267593	+	0.00735206i	0.941023	−	0.338341i	$-0.109866\pi$
$347$	0.0498471	+	0.136954i	0.00267593	+	0.00735206i	−0.938347	+	0.345694i	$0.887644\pi$
$348$	−13.6485	+	4.49586i	−0.731638	+	0.241004i
$349$	8.09106	+	9.64255i	0.433104	+	0.516154i	0.937815	−	0.347135i	$-0.112845\pi$
$349$	8.09106	+	9.64255i	0.433104	+	0.516154i	−0.504711	+	0.863288i	$0.668401\pi$
$350$	−4.38997	+	6.06518i	−0.234654	+	0.324197i
$351$	18.2694	−	4.79155i	0.975149	−	0.255754i
$352$	−2.86830	+	4.96805i	−0.152881	+	0.264798i
$353$	−21.4547	−	7.80888i	−1.14192	−	0.415624i	−0.299313	−	0.954155i	$-0.596757\pi$
$353$	−21.4547	−	7.80888i	−1.14192	−	0.415624i	−0.842606	+	0.538531i	$0.818980\pi$
$354$	−19.6504	+	6.47288i	−1.04441	+	0.344030i
$355$	−19.4649	+	23.1973i	−1.03309	+	1.23119i
$356$	4.91803	−	1.79002i	0.260655	−	0.0948707i
$357$	9.73113	+	23.6857i	0.515026	+	1.25358i
$358$	−3.90979	−	22.1735i	−0.206639	−	1.17191i
$359$			4.20290i			0.221821i	0.993830	+	0.110910i	$0.0353766\pi$
$359$			4.20290i			0.221821i	−0.993830	+	0.110910i	$0.964623\pi$
$360$	−7.51495	+	3.74093i	−0.396073	+	0.197164i
$361$	18.4917			0.973249
$362$	−11.8815	+	9.96978i	−0.624479	+	0.524000i
$363$	−14.0726	+	35.2410i	−0.738617	+	1.84967i
$364$	−6.69292	−	6.90583i	−0.350804	−	0.361964i
$365$	8.49331	−	10.1219i	0.444560	−	0.529806i
$366$	−7.24846	−	9.20057i	−0.378883	−	0.480921i
$367$	−23.1835	+	4.08788i	−1.21017	+	0.213386i	−0.742090	−	0.670301i	$-0.766165\pi$
$367$	−23.1835	+	4.08788i	−1.21017	+	0.213386i	−0.468080	+	0.883686i	$0.655054\pi$
$368$			2.89033i			0.150669i
$369$	−3.70749	+	5.59378i	−0.193004	+	0.291201i
$370$	12.0115	−	6.93484i	0.624448	−	0.360525i
$371$	2.12321	+	29.5984i	0.110232	+	1.53667i
$372$	10.8182	+	0.333922i	0.560896	+	0.0173131i
$373$	−0.359961	+	2.04144i	−0.0186381	+	0.105702i	−0.992708	−	0.120547i	$-0.961535\pi$
$373$	−0.359961	+	2.04144i	−0.0186381	+	0.105702i	0.974070	+	0.226249i	$0.0726463\pi$
$374$	−30.1221	+	10.9636i	−1.55758	+	0.566912i
$375$	3.29062	+	9.98965i	0.169927	+	0.515863i
$376$	−7.30661	+	1.28835i	−0.376810	+	0.0664417i
$377$	30.1566			1.55315
$378$	10.7143	−	8.61421i	0.551082	−	0.443067i
$379$	−3.99185			−0.205048			−0.102524	−	0.994731i	$-0.532692\pi$
$379$	−3.99185			−0.205048			−0.102524	+	0.994731i	$0.532692\pi$
$380$	−1.96461	+	0.346414i	−0.100782	+	0.0177706i
$381$	−15.2517	−	3.17735i	−0.781368	−	0.162781i
$382$	20.7528	−	7.55339i	1.06180	−	0.386465i
$383$	2.94239	−	16.6871i	0.150349	−	0.852672i	−0.812566	−	0.582869i	$-0.801930\pi$
$383$	2.94239	−	16.6871i	0.150349	−	0.852672i	0.962915	−	0.269803i	$-0.0869587\pi$
$384$	0.819335	+	1.52600i	0.0418115	+	0.0778736i
$385$	38.2052	+	18.5489i	1.94712	+	0.945342i
$386$	−4.15391	+	2.39826i	−0.211428	+	0.122068i
$387$	4.63765	−	19.2639i	0.235745	−	0.979241i
$388$		−	10.2854i		−	0.522164i
$389$	31.4613	−	5.54748i	1.59515	−	0.281269i	0.695715	−	0.718317i	$-0.255087\pi$
$389$	31.4613	−	5.54748i	1.59515	−	0.281269i	0.899438	+	0.437049i	$0.143976\pi$
$390$	17.4353	−	2.52241i	0.882870	−	0.127727i
$391$	−10.3815	+	12.3722i	−0.525015	+	0.625689i
$392$	−6.49967	−	2.59889i	−0.328283	−	0.131264i
$393$	−26.0469	+	3.76828i	−1.31389	+	0.190085i
$394$	−14.8089	+	12.4261i	−0.746059	+	0.626018i
$395$	32.5981			1.64019
$396$	10.2281	+	13.8406i	0.513982	+	0.695519i
$397$			27.3142i			1.37086i	0.728138	+	0.685431i	$0.240386\pi$
$397$			27.3142i			1.37086i	−0.728138	+	0.685431i	$0.759614\pi$
$398$	0.0794958	+	0.450843i	0.00398476	+	0.0225987i
$399$	3.02195	−	1.24155i	0.151287	−	0.0621554i
$400$	−2.65923	+	0.967881i	−0.132962	+	0.0483941i
$401$	−19.0915	+	22.7523i	−0.953383	+	1.13620i	0.0372028	+	0.999308i	$0.488155\pi$
$401$	−19.0915	+	22.7523i	−0.953383	+	1.13620i	−0.990586	+	0.136890i	$0.956289\pi$
$402$	7.45088	+	6.65436i	0.371616	+	0.331889i
$403$	−21.3439	−	7.76855i	−1.06322	−	0.386979i
$404$	−0.476493	+	0.825311i	−0.0237064	+	0.0410608i
$405$	1.28646	+	25.1509i	0.0639245	+	1.24976i
$406$	20.0367	−	8.96410i	0.994402	−	0.444881i
$407$	−18.2773	−	21.7820i	−0.905970	−	1.07969i
$408$	−1.97391	+	9.47502i	−0.0977230	+	0.469083i
$409$	−5.77387	−	15.8636i	−0.285499	−	0.784403i	−0.996682	−	0.0813957i	$-0.974062\pi$
$409$	−5.77387	−	15.8636i	−0.285499	−	0.784403i	0.711182	−	0.703007i	$-0.248160\pi$
$410$	−4.02350	+	4.79502i	−0.198706	+	0.236809i
$411$	−2.15379	−	4.01141i	−0.106239	−	0.197868i
$412$	13.8800	−	2.44741i	0.683817	−	0.120575i
$413$	28.8476	−	12.9060i	1.41950	−	0.635062i
$414$	7.94966	+	3.46254i	0.390704	+	0.170175i
$415$	4.85388	+	8.40716i	0.238268	+	0.412691i
$416$	−0.631188	−	3.57964i	−0.0309465	−	0.175506i
$417$	−5.90637	+	4.65320i	−0.289236	+	0.227868i
$418$	1.39879	+	3.84315i	0.0684172	+	0.187975i
$419$	−13.1745	−	11.0547i	−0.643617	−	0.540059i	0.261510	−	0.965201i	$-0.415780\pi$
$419$	−13.1745	−	11.0547i	−0.643617	−	0.540059i	−0.905127	+	0.425142i	$0.860224\pi$
$420$	10.8345	−	6.85860i	0.528672	−	0.334665i
$421$	−15.3177	−	5.57520i	−0.746541	−	0.271719i	−0.0593914	−	0.998235i	$-0.518916\pi$
$421$	−15.3177	−	5.57520i	−0.746541	−	0.271719i	−0.687149	+	0.726516i	$0.741138\pi$
$422$	16.5942	−	9.58067i	0.807794	−	0.466380i
$423$	−5.20960	+	21.6397i	−0.253300	+	1.05216i
$424$	−5.60795	+	9.71326i	−0.272346	+	0.471718i
$425$	−14.8594	−	5.40838i	−0.720786	−	0.262345i
$426$	16.5144	−	8.86681i	0.800123	−	0.429598i
$427$	12.4517	+	12.8478i	0.602581	+	0.621749i
$428$	2.79528	+	0.492883i	0.135115	+	0.0238244i
$429$	−11.2996	−	34.3032i	−0.545549	−	1.65617i
$430$	6.32102	−	17.3669i	0.304827	−	0.837505i
$431$	−23.3547	+	13.4838i	−1.12496	+	0.649494i	−0.942662	−	0.333750i	$-0.891686\pi$
$431$	−23.3547	+	13.4838i	−1.12496	+	0.649494i	−0.182295	+	0.983244i	$0.558352\pi$
$432$	5.17871	−	0.425410i	0.249161	−	0.0204676i
$433$		−	40.7572i		−	1.95867i	−0.202250	−	0.979334i	$-0.564825\pi$
$433$		−	40.7572i		−	1.95867i	0.202250	−	0.979334i	$-0.435175\pi$
$434$	−16.4905	+	1.18293i	−0.791571	+	0.0567824i
$435$	−8.20077	+	39.3648i	−0.393197	+	1.88740i
$436$	−0.899275	−	0.754581i	−0.0430675	−	0.0361379i
$437$	1.57852	+	1.32453i	0.0755106	+	0.0633609i
$438$	−7.20588	+	3.86895i	−0.344310	+	0.184866i
$439$	3.77130	−	10.3616i	0.179994	−	0.494531i	−0.816580	−	0.577232i	$-0.804133\pi$
$439$	3.77130	−	10.3616i	0.179994	−	0.494531i	0.996574	+	0.0827018i	$0.0263549\pi$
$440$	8.02607	+	13.9016i	0.382628	+	0.662731i
$441$	−14.9345	+	14.7635i	−0.711167	+	0.703024i
$442$	10.1555	−	17.5899i	0.483050	−	0.836667i
$443$	1.15626	+	1.37798i	0.0549356	+	0.0654697i	0.792813	−	0.609466i	$-0.208616\pi$
$443$	1.15626	+	1.37798i	0.0549356	+	0.0654697i	−0.737877	+	0.674935i	$0.764172\pi$
$444$	−8.49672	+	1.22924i	−0.403236	+	0.0583373i
$445$	2.54304	−	14.4223i	0.120552	−	0.683683i
$446$	−14.4324	+	5.25296i	−0.683393	+	0.248735i
$447$	−2.56116	−	1.02273i	−0.121139	−	0.0483736i
$448$	−1.48343	−	2.19076i	−0.0700853	−	0.103504i
$449$	−29.3589	−	16.9504i	−1.38553	−	0.799938i	−0.392725	−	0.919656i	$-0.628468\pi$
$449$	−29.3589	−	16.9504i	−1.38553	−	0.799938i	−0.992808	+	0.119718i	$0.961801\pi$
$450$	−0.523600	+	8.47352i	−0.0246827	+	0.399446i
$451$	11.1133	+	6.41628i	0.523306	+	0.302131i
$452$	−6.53919	−	7.79310i	−0.307577	−	0.366556i
$453$	0.668422	+	0.413922i	0.0314052	+	0.0194478i
$454$	1.61291	+	4.43145i	0.0756978	+	0.207978i
$455$	−26.0990	+	6.55708i	−1.22354	+	0.307401i
$456$	1.20888	+	0.251842i	0.0566108	+	0.0117936i
$457$	0.609338	+	3.45572i	0.0285036	+	0.161652i	0.995737	−	0.0922364i	$-0.0294015\pi$
$457$	0.609338	+	3.45572i	0.0285036	+	0.161652i	−0.967234	+	0.253888i	$0.918290\pi$
$458$	−0.831393	−	1.44002i	−0.0388485	−	0.0672875i
$459$	23.6957	+	16.7799i	1.10602	+	0.783219i
$460$	7.00417	+	4.04386i	0.326571	+	0.188546i
$461$	8.13423	−	6.82543i	0.378849	−	0.317892i	−0.433402	−	0.901201i	$-0.642687\pi$
$461$	8.13423	−	6.82543i	0.378849	−	0.317892i	0.812250	+	0.583309i	$0.198242\pi$
$462$	−17.7043	−	19.4329i	−0.823680	−	0.904101i
$463$	−3.69532	+	20.9572i	−0.171736	+	0.973965i	0.770108	+	0.637914i	$0.220203\pi$
$463$	−3.69532	+	20.9572i	−0.171736	+	0.973965i	−0.941844	+	0.336051i	$0.890909\pi$
$464$	8.17045	+	1.44067i	0.379304	+	0.0668815i
$465$	15.9449	−	25.7486i	0.739426	−	1.19406i
$466$	−6.81656	+	5.71977i	−0.315771	+	0.264963i
$467$	−30.1855			−1.39682			−0.698409	−	0.715699i	$-0.746108\pi$
$467$	−30.1855			−1.39682			−0.698409	+	0.715699i	$0.746108\pi$
$468$	−10.6017	−	2.55228i	−0.490064	−	0.117979i
$469$	−12.3614	−	8.94720i	−0.570798	−	0.413143i
$470$	−7.10059	+	19.5087i	−0.327526	+	0.899870i
$471$	−2.28145	−	15.7698i	−0.105124	−	0.726632i
$472$	11.7633	+	2.07419i	0.541451	+	0.0954725i
$473$	−37.3133	−	6.57935i	−1.71567	−	0.302519i
$474$	−18.7390	−	7.48293i	−0.860713	−	0.343703i
$475$	−0.690032	+	1.89585i	−0.0316608	+	0.0869874i
$476$	1.51892	−	14.7058i	0.0696194	−	0.674041i
$477$	19.9975	+	27.0605i	0.915620	+	1.23902i
$478$	26.4011			1.20756
$479$	19.3200	−	16.2114i	0.882752	−	0.740717i	−0.0839910	−	0.996467i	$-0.526767\pi$
$479$	19.3200	−	16.2114i	0.882752	−	0.740717i	0.966743	+	0.255750i	$0.0823222\pi$
$480$	4.84431	+	0.149528i	0.221111	+	0.00682500i
$481$	17.7431	+	3.12858i	0.809014	+	0.142651i
$482$	1.46033	−	8.28192i	0.0665160	−	0.377231i
$483$	−12.6206	−	4.01925i	−0.574258	−	0.182882i
$484$	16.7830	−	14.0826i	0.762863	−	0.640118i
$485$	−24.9248	−	14.3903i	−1.13178	−	0.653431i
$486$	5.03389	−	14.7533i	0.228342	−	0.669223i
$487$	0.0621167	+	0.107589i	0.00281478	+	0.00487534i	0.867429	−	0.497560i	$-0.165771\pi$
$487$	0.0621167	+	0.107589i	0.00281478	+	0.00487534i	−0.864615	+	0.502436i	$0.832437\pi$
$488$	1.17428	+	6.65968i	0.0531572	+	0.301469i
$489$	−1.09661	−	3.32908i	−0.0495903	−	0.150546i
$490$	−15.3916	+	12.1146i	−0.695321	+	0.547283i
$491$	1.29309	+	3.55274i	0.0583564	+	0.160333i	0.965445	−	0.260607i	$-0.0839226\pi$
$491$	1.29309	+	3.55274i	0.0583564	+	0.160333i	−0.907089	+	0.420940i	$0.861700\pi$
$492$	3.41361	−	1.83282i	0.153897	−	0.0826299i
$493$	29.7994	+	35.5135i	1.34210	+	1.59945i
$494$	−2.24422	−	1.29570i	−0.100972	−	0.0582964i
$495$	47.8503	−	5.42144i	2.15071	−	0.243676i
$496$	−5.41166	−	3.12442i	−0.242991	−	0.140291i
$497$	−23.7084	+	16.0536i	−1.06346	+	0.720102i
$498$	−0.860380	−	5.94708i	−0.0385546	−	0.266495i
$499$	3.93969	−	1.43393i	0.176365	−	0.0641915i	−0.252329	−	0.967642i	$-0.581196\pi$
$499$	3.93969	−	1.43393i	0.176365	−	0.0641915i	0.428693	+	0.903450i	$0.358974\pi$
$500$	1.05446	−	5.98012i	0.0471567	−	0.267439i
$501$	1.32721	−	3.32365i	0.0592954	−	0.148490i
$502$	−10.0870	−	12.0212i	−0.450205	−	0.536534i
$503$	9.57693	−	16.5877i	0.427014	−	0.739610i	−0.569592	−	0.821928i	$-0.692899\pi$
$503$	9.57693	−	16.5877i	0.427014	−	0.739610i	0.996606	+	0.0823175i	$0.0262322\pi$
$504$	−7.80265	+	1.45558i	−0.347557	+	0.0648369i
$505$	1.33332	+	2.30938i	0.0593320	+	0.102766i
$506$	5.67093	−	15.5808i	0.252104	−	0.692649i
$507$	0.312545	+	0.193544i	0.0138806	+	0.00859559i
$508$	6.89028	+	5.78163i	0.305707	+	0.256518i
$509$	−2.60462	−	2.18554i	−0.115448	−	0.0968722i	0.583236	−	0.812303i	$-0.301786\pi$
$509$	−2.60462	−	2.18554i	−0.115448	−	0.0968722i	−0.698684	+	0.715430i	$0.746231\pi$
$510$	20.1992	+	18.0399i	0.894435	+	0.798818i
$511$	10.3449	−	7.00483i	0.457632	−	0.309875i
$512$		−	1.00000i		−	0.0441942i
$513$	2.14088	−	3.02323i	0.0945220	−	0.133479i
$514$	−0.449209	+	0.259351i	−0.0198138	+	0.0114395i
$515$	13.4886	−	37.0596i	0.594378	−	1.63304i
$516$	−7.62023	+	8.53236i	−0.335462	+	0.375616i
$517$	41.9152	+	7.39077i	1.84343	+	0.325046i
$518$	12.7188	−	3.19546i	0.558832	−	0.140400i
$519$	0.673549	−	21.8211i	0.0295655	−	0.957842i
$520$	−9.55767	−	3.47871i	−0.419132	−	0.152551i
$521$	13.2089	−	22.8785i	0.578694	−	1.00233i	−0.416936	−	0.908936i	$-0.636896\pi$
$521$	13.2089	−	22.8785i	0.578694	−	1.00233i	0.995629	−	0.0933912i	$-0.0297707\pi$
$522$	13.7504	−	20.7464i	0.601840	−	0.908043i
$523$	−3.70839	+	2.14104i	−0.162157	+	0.0936212i	−0.578882	−	0.815411i	$-0.696511\pi$
$523$	−3.70839	+	2.14104i	−0.162157	+	0.0936212i	0.416726	+	0.909032i	$0.363178\pi$
$524$	14.2784	+	5.19691i	0.623755	+	0.227028i
$525$	−0.528364	−	12.9574i	−0.0230597	−	0.565509i
$526$	13.4598	+	11.2941i	0.586877	+	0.492448i
$527$	−11.9425	−	32.8118i	−0.520225	−	1.42931i
$528$	−1.42267	−	9.83371i	−0.0619138	−	0.427957i
$529$	2.54325	+	14.4235i	0.110576	+	0.627107i
$530$	15.6921	+	27.1796i	0.681623	+	1.18061i
$531$	19.7971	−	29.8694i	0.859120	−	1.29622i
$532$	−1.87625	−	0.193792i	−0.0813459	−	0.00840195i
$533$	−8.00752	+	1.41194i	−0.346844	+	0.0611580i
$534$	−4.77253	+	7.70692i	−0.206527	+	0.333511i
$535$	5.10528	−	6.08423i	0.220720	−	0.263044i
$536$	−1.97264	−	5.41978i	−0.0852051	−	0.234099i
$537$	29.0867	+	25.9773i	1.25518	+	1.12100i
$538$	5.08917	+	6.06503i	0.219410	+	0.261482i
$539$	29.9383	+	26.7623i	1.28954	+	1.15273i
$540$	6.21462	−	13.1448i	0.267435	−	0.565662i
$541$	−11.1045	+	19.2336i	−0.477420	+	0.826916i	−0.999665	−	0.0258793i	$-0.991761\pi$
$541$	−11.1045	+	19.2336i	−0.477420	+	0.826916i	0.522245	+	0.852796i	$0.325095\pi$
$542$	−25.5421	−	9.29655i	−1.09713	−	0.399321i
$543$	5.47899	−	26.2999i	0.235126	−	1.12863i
$544$	3.59180	−	4.28054i	0.153997	−	0.183527i
$545$	−3.08676	+	1.12349i	−0.132222	+	0.0481249i
$546$	16.5082	+	2.22172i	0.706486	+	0.0950807i
$547$	−6.21850	−	35.2668i	−0.265884	−	1.50790i	−0.766507	−	0.642236i	$-0.778007\pi$
$547$	−6.21850	−	35.2668i	−0.265884	−	1.50790i	0.500623	−	0.865665i	$-0.333104\pi$
$548$			2.62870i			0.112293i
$549$	19.7237	+	4.74834i	0.841788	+	0.202654i
$550$	16.2340			0.692220
$551$	4.53101	−	3.80197i	0.193028	−	0.161969i
$552$	−3.09808	−	3.93243i	−0.131863	−	0.167375i
$553$	29.6434	+	8.44246i	1.26057	+	0.359010i
$554$	−17.5131	+	20.8714i	−0.744062	+	0.886739i
$555$	−8.90890	+	22.3100i	−0.378162	+	0.947007i
$556$	4.27522	−	0.753837i	0.181310	−	0.0319698i
$557$			28.4397i			1.20503i	0.798107	+	0.602515i	$0.205835\pi$
$557$			28.4397i			1.20503i	−0.798107	+	0.602515i	$0.794165\pi$
$558$	−15.0765	+	11.1414i	−0.638240	+	0.471654i
$559$	20.7911	−	12.0037i	0.879368	−	0.507704i
$560$	−7.38435	+	0.529709i	−0.312046	+	0.0223843i
$561$	29.2309	−	47.2036i	1.23413	−	1.99294i
$562$	−0.599401	+	3.39937i	−0.0252842	+	0.143394i
$563$	−26.0653	+	9.48700i	−1.09852	+	0.399830i	−0.826771	−	0.562538i	$-0.809825\pi$
$563$	−26.0653	+	9.48700i	−1.09852	+	0.399830i	−0.271751	+	0.962368i	$0.587603\pi$
$564$	8.56002	−	9.58464i	0.360442	−	0.403586i
$565$	−28.0340	+	4.94316i	−1.17940	+	0.207960i
$566$	−19.1797			−0.806183
$567$	−5.34388	+	23.2044i	−0.224422	+	0.974492i
$568$	−10.8220			−0.454079
$569$	−2.90662	+	0.512515i	−0.121852	+	0.0214858i	−0.234241	−	0.972178i	$-0.575261\pi$
$569$	−2.90662	+	0.512515i	−0.121852	+	0.0214858i	0.112390	+	0.993664i	$0.464150\pi$
$570$	2.30163	−	2.57713i	0.0964046	−	0.107944i
$571$	0.303646	−	0.110518i	0.0127072	−	0.00462504i	−0.335659	−	0.941984i	$-0.608959\pi$
$571$	0.303646	−	0.110518i	0.0127072	−	0.00462504i	0.348366	+	0.937359i	$0.386737\pi$
$572$	−3.62087	+	20.5350i	−0.151396	+	0.858611i
$573$	−20.1388	+	32.5211i	−0.841309	+	1.35859i
$574$	−4.90065	+	3.31837i	−0.204549	+	0.138506i
$575$	7.08352	−	4.08967i	0.295403	−	0.170551i
$576$	−2.75043	−	1.19797i	−0.114601	−	0.0499155i
$577$		−	17.3037i		−	0.720361i	−0.932883	−	0.360180i	$-0.882715\pi$
$577$		−	17.3037i		−	0.720361i	0.932883	−	0.360180i	$-0.117285\pi$
$578$	14.0080	−	2.46999i	0.582656	−	0.102738i
$579$	3.08094	−	7.71542i	0.128040	−	0.320642i
$580$	14.9224	−	17.7839i	0.619621	−	0.738435i
$581$	2.23658	+	8.90223i	0.0927891	+	0.369327i
$582$	11.0247	+	13.9938i	0.456989	+	0.580062i
$583$	49.2882	−	41.3577i	2.04131	−	1.71286i
$584$	4.72206			0.195400
$585$	−21.0178	+	22.1203i	−0.868978	+	0.914562i
$586$		−	26.4317i		−	1.09188i
$587$	−1.91549	−	10.8633i	−0.0790606	−	0.448375i	−0.998481	−	0.0550985i	$-0.982453\pi$
$587$	−1.91549	−	10.8633i	−0.0790606	−	0.448375i	0.919420	−	0.393276i	$-0.128658\pi$
$588$	11.6288	−	3.43094i	0.479563	−	0.141489i
$589$	−4.18632	+	1.52370i	−0.172494	+	0.0627828i
$590$	21.4845	−	25.6042i	0.884501	−	1.05411i
$591$	6.82888	−	32.7795i	0.280903	−	1.34837i
$592$	4.65773	+	1.69528i	0.191432	+	0.0696754i
$593$	−10.6756	+	18.4908i	−0.438396	+	0.759325i	−0.997566	−	0.0697286i	$-0.977787\pi$
$593$	−10.6756	+	18.4908i	−0.438396	+	0.759325i	0.559170	+	0.829053i	$0.311120\pi$
$594$	−28.7513	−	7.86757i	−1.17968	−	0.322810i
$595$	−33.5116	−	24.2557i	−1.37384	−	0.994387i
$596$	1.02346	+	1.21971i	0.0419227	+	0.0499615i
$597$	−0.591405	−	0.528183i	−0.0242046	−	0.0216171i
$598$	3.59325	+	9.87239i	0.146939	+	0.403712i
$599$	−23.0698	+	27.4935i	−0.942607	+	1.12336i	0.0496019	+	0.998769i	$0.484205\pi$
$599$	−23.0698	+	27.4935i	−0.942607	+	1.12336i	−0.992209	+	0.124586i	$0.960240\pi$
$600$	2.58056	−	4.16721i	0.105351	−	0.170126i
$601$	21.7302	−	3.83163i	0.886395	−	0.156295i	0.288128	−	0.957592i	$-0.406967\pi$
$601$	21.7302	−	3.83163i	0.886395	−	0.156295i	0.598267	+	0.801297i	$0.295856\pi$
$602$	10.2459	−	14.1557i	0.417590	−	0.576942i
$603$	−17.2699	−	1.06715i	−0.703285	−	0.0434577i
$604$	−0.226958	−	0.393103i	−0.00923479	−	0.0159951i
$605$	−10.6454	−	60.3733i	−0.432799	−	2.45452i
$606$	−0.236340	−	1.63361i	−0.00960064	−	0.0663611i
$607$	6.87904	+	18.9000i	0.279212	+	0.767128i	0.997453	+	0.0713332i	$0.0227253\pi$
$607$	6.87904	+	18.9000i	0.279212	+	0.767128i	−0.718241	+	0.695795i	$0.755052\pi$
$608$	−0.546136	−	0.458263i	−0.0221487	−	0.0185850i
$609$	−17.6524	+	33.6729i	−0.715310	+	1.36449i
$610$	17.7814	+	6.47189i	0.719947	+	0.262039i
$611$	−23.3552	+	13.4841i	−0.944850	+	0.545510i
$612$	−7.47045	−	15.0070i	−0.301975	−	0.606621i
$613$	19.1597	−	33.1855i	0.773852	−	1.34035i	−0.161586	−	0.986859i	$-0.551661\pi$
$613$	19.1597	−	33.1855i	0.773852	−	1.34035i	0.935438	−	0.353492i	$-0.115006\pi$
$614$	6.52769	+	2.37589i	0.263436	+	0.0958829i
$615$	0.334489	−	10.8365i	0.0134879	−	0.436971i
$616$	3.69827	+	14.7202i	0.149008	+	0.593092i
$617$	44.4840	+	7.84373i	1.79086	+	0.315777i	0.967713	−	0.252054i	$-0.0811062\pi$
$617$	44.4840	+	7.84373i	1.79086	+	0.315777i	0.823145	+	0.567831i	$0.192217\pi$
$618$	−16.2610	+	18.2074i	−0.654113	+	0.732409i
$619$	−12.8579	+	35.3267i	−0.516802	+	1.41990i	0.357223	+	0.934019i	$0.383724\pi$
$619$	−12.8579	+	35.3267i	−0.516802	+	1.41990i	−0.874024	+	0.485882i	$0.838498\pi$
$620$	−15.1429	+	8.74275i	−0.608153	+	0.351117i
$621$	−14.5273	+	3.81010i	−0.582960	+	0.152894i
$622$		−	10.7797i		−	0.432226i
$623$	6.04772	−	12.4565i	0.242297	−	0.499058i
$624$	4.69569	+	4.19371i	0.187978	+	0.167883i
$625$	−23.8555	−	20.0172i	−0.954221	−	0.800686i
$626$	13.1786	+	11.0582i	0.526724	+	0.441974i
$627$	−6.02250	−	3.72945i	−0.240516	−	0.148940i
$628$	−3.14640	+	8.64466i	−0.125555	+	0.344960i
$629$	13.8485	+	23.9863i	0.552177	+	0.956398i
$630$	−7.38933	+	20.9447i	−0.294398	+	0.834458i
$631$	−3.97149	+	6.87882i	−0.158103	+	0.273842i	−0.934184	−	0.356791i	$-0.883871\pi$
$631$	−3.97149	+	6.87882i	−0.158103	+	0.273842i	0.776082	+	0.630632i	$0.217204\pi$
$632$	7.48828	+	8.92418i	0.297868	+	0.354985i
$633$	−12.3079	+	30.8219i	−0.489195	+	1.22506i
$634$	−0.681042	+	3.86238i	−0.0270476	+	0.153395i
$635$	23.6509	−	8.60821i	0.938555	−	0.341606i
$636$	−2.78153	−	19.2264i	−0.110295	−	0.762375i
$637$	−25.4316	−	0.796534i	−1.00764	−	0.0315598i
$638$	−41.2173	−	23.7968i	−1.63181	−	0.942126i
$639$	−12.9644	+	29.7650i	−0.512864	+	1.17749i
$640$	−2.42331	−	1.39910i	−0.0957897	−	0.0553042i
$641$	14.9291	+	17.7918i	0.589665	+	0.702735i	0.975542	−	0.219815i	$-0.0705455\pi$
$641$	14.9291	+	17.7918i	0.589665	+	0.702735i	−0.385877	+	0.922550i	$0.626101\pi$
$642$	−4.33142	+	2.32560i	−0.170947	+	0.0917842i
$643$	−10.2234	−	28.0886i	−0.403172	−	1.10771i	−0.960710	−	0.277554i	$-0.910476\pi$
$643$	−10.2234	−	28.0886i	−0.403172	−	1.10771i	0.557538	−	0.830151i	$-0.311746\pi$
$644$	5.32201	+	5.49131i	0.209716	+	0.216388i
$645$	10.0151	+	30.4038i	0.394344	+	1.19715i
$646$	−0.691770	−	3.92322i	−0.0272173	−	0.154357i
$647$	−2.78813	−	4.82918i	−0.109613	−	0.189855i	0.806001	−	0.591915i	$-0.201628\pi$
$647$	−2.78813	−	4.82918i	−0.109613	−	0.189855i	−0.915613	+	0.402060i	$0.868294\pi$
$648$	−6.58988	+	6.12972i	−0.258875	+	0.240798i
$649$	−59.3423	−	34.2613i	−2.32939	−	1.34487i
$650$	−7.87975	+	6.61190i	−0.309069	+	0.259340i
$651$	21.1681	−	19.2852i	0.829645	−	0.755847i
$652$	−0.351401	+	1.99289i	−0.0137619	+	0.0780477i
$653$	5.39517	+	0.951314i	0.211129	+	0.0372278i	0.278212	−	0.960520i	$-0.410258\pi$
$653$	5.39517	+	0.951314i	0.211129	+	0.0372278i	−0.0670830	+	0.997747i	$0.521369\pi$
$654$	2.03232	+	0.0627312i	0.0794700	+	0.00245298i
$655$	32.5706	−	27.3300i	1.27264	−	1.06787i
$656$	−2.23696			−0.0873386
$657$	5.65690	−	12.9877i	0.220697	−	0.506698i
$658$	−11.5095	+	15.9015i	−0.448686	+	0.619904i
$659$	7.20426	−	19.7935i	0.280638	−	0.771047i	−0.716649	−	0.697434i	$-0.754325\pi$
$659$	7.20426	−	19.7935i	0.280638	−	0.771047i	0.997287	−	0.0736127i	$-0.0234529\pi$
$660$	−25.8206	−	10.3108i	−1.00506	−	0.401346i
$661$	−37.8627	−	6.67622i	−1.47269	−	0.259675i	−0.621036	−	0.783782i	$-0.713288\pi$
$661$	−37.8627	−	6.67622i	−1.47269	−	0.259675i	−0.851652	+	0.524107i	$0.824399\pi$
$662$	−10.9388	−	1.92881i	−0.425150	−	0.0749653i
$663$	5.03712	+	34.8174i	0.195626	+	1.35219i
$664$	−1.18657	+	3.26007i	−0.0460478	+	0.126515i
$665$	−3.09468	+	4.27561i	−0.120007	+	0.165801i
$666$	10.2426	−	10.7799i	0.396892	−	0.417711i
$667$	−23.9796			−0.928495
$668$	−1.58284	+	1.32816i	−0.0612418	+	0.0513879i
$669$	14.0054	−	22.6166i	0.541479	−	0.874408i
$670$	−15.8937	−	2.80249i	−0.614028	−	0.108270i
$671$	6.73638	−	38.2039i	0.260055	−	1.47485i
$672$	4.36649	+	1.39058i	0.168441	+	0.0536429i
$673$	24.5852	−	20.6295i	0.947691	−	0.795207i	−0.0312165	−	0.999513i	$-0.509938\pi$
$673$	24.5852	−	20.6295i	0.947691	−	0.795207i	0.978907	+	0.204306i	$0.0654937\pi$
$674$	−15.5252	−	8.96350i	−0.598010	−	0.345261i
$675$	−8.37018	−	12.0898i	−0.322168	−	0.465338i
$676$	−0.106122	−	0.183809i	−0.00408163	−	0.00706959i
$677$	0.673097	+	3.81732i	0.0258692	+	0.146712i	0.995007	−	0.0998100i	$-0.0318235\pi$
$677$	0.673097	+	3.81732i	0.0258692	+	0.146712i	−0.969137	+	0.246522i	$0.920712\pi$
$678$	17.2501	+	3.59367i	0.662486	+	0.138014i
$679$	−18.9387	−	19.5412i	−0.726801	−	0.749921i
$680$	−5.34779	−	14.6929i	−0.205078	−	0.563448i
$681$	−6.94440	−	4.30034i	−0.266110	−	0.164789i
$682$	23.0421	+	27.4605i	0.882328	+	1.05152i
$683$	−18.1893	−	10.5016i	−0.695993	−	0.401832i	0.109860	−	0.993947i	$-0.464960\pi$
$683$	−18.1893	−	10.5016i	−0.695993	−	0.401832i	−0.805853	+	0.592115i	$0.798293\pi$
$684$	−1.91467	+	0.953122i	−0.0732094	+	0.0364435i
$685$	6.37016	+	3.67781i	0.243391	+	0.140522i
$686$	−17.1340	+	7.03034i	−0.654180	+	0.268420i
$687$	2.67467	+	1.06806i	0.102045	+	0.0407489i
$688$	6.20646	−	2.25896i	0.236619	−	0.0861222i
$689$	−7.07934	+	40.1489i	−0.269701	+	1.52955i
$690$	−13.8640	+	2.00574i	−0.527793	+	0.0763574i
$691$	3.23721	+	3.85795i	0.123149	+	0.146763i	0.824096	−	0.566450i	$-0.191684\pi$
$691$	3.23721	+	3.85795i	0.123149	+	0.146763i	−0.700947	+	0.713213i	$0.747239\pi$
$692$	−6.30222	+	10.9158i	−0.239575	+	0.414955i
$693$	44.9172	+	7.46252i	1.70626	+	0.283478i
$694$	0.0728716	+	0.126217i	0.00276617	+	0.00479114i
$695$	4.15467	−	11.4149i	0.157596	−	0.432991i
$696$	−12.6605	+	6.79761i	−0.479894	+	0.257663i
$697$	−9.57540	−	8.03471i	−0.362694	−	0.304337i
$698$	9.64255	+	8.09106i	0.364976	+	0.306251i
$699$	3.14335	−	15.0885i	0.118892	−	0.570700i
$700$	−3.27007	+	6.73534i	−0.123597	+	0.254572i
$701$			0.491011i			0.0185452i	0.999957	+	0.00927262i	$0.00295161\pi$
$701$			0.491011i			0.0185452i	−0.999957	+	0.00927262i	$0.997048\pi$
$702$	17.1598	−	7.89121i	0.647656	−	0.297835i
$703$	3.06032	−	1.76687i	0.115422	−	0.0666389i
$704$	−1.96203	+	5.39065i	−0.0739470	+	0.203168i
$705$	−11.2502	−	34.1534i	−0.423708	−	1.28629i
$706$	−22.4848	−	3.96467i	−0.846225	−	0.149212i
$707$	0.614372	+	2.44537i	0.0231058	+	0.0919676i
$708$	−18.2278	+	9.78680i	−0.685044	+	0.367810i
$709$	−42.3320	−	15.4076i	−1.58981	−	0.578644i	−0.612503	−	0.790468i	$-0.709837\pi$
$709$	−42.3320	−	15.4076i	−1.58981	−	0.578644i	−0.977308	+	0.211824i	$0.932059\pi$
$710$	−15.1410	+	26.2249i	−0.568231	+	0.984204i
$711$	33.5161	−	9.90504i	1.25695	−	0.371468i
$712$	4.53248	−	2.61683i	0.169862	−	0.0980698i
$713$	16.9720	+	6.17731i	0.635608	+	0.231342i
$714$	13.6963	+	21.6360i	0.512570	+	0.809708i
$715$	44.6967	+	37.5050i	1.67156	+	1.40261i
$716$	−7.70078	−	21.1577i	−0.287792	−	0.790701i
$717$	−35.9198	+	28.2987i	−1.34145	+	1.05683i
$718$	0.729826	+	4.13905i	0.0272369	+	0.154468i
$719$	−3.90004	−	6.75507i	−0.145447	−	0.251922i	0.784093	−	0.620644i	$-0.213129\pi$
$719$	−3.90004	−	6.75507i	−0.145447	−	0.251922i	−0.929540	+	0.368722i	$0.879795\pi$
$720$	−6.75118	+	4.98906i	−0.251601	+	0.185931i
$721$	21.8639	−	30.2072i	0.814254	−	1.12497i
$722$	18.2108	−	3.21106i	0.677736	−	0.119503i
$723$	6.89034	+	12.8332i	0.256255	+	0.477272i
$724$	−9.96978	+	11.8815i	−0.370524	+	0.441573i
$725$	−8.03002	−	22.0623i	−0.298227	−	0.819373i
$726$	−7.73922	+	37.1493i	−0.287229	+	1.37874i
$727$	6.02693	+	7.18262i	0.223527	+	0.266389i	0.866139	−	0.499802i	$-0.166594\pi$
$727$	6.02693	+	7.18262i	0.223527	+	0.266389i	−0.642613	+	0.766191i	$0.722150\pi$
$728$	−7.79043	−	5.63870i	−0.288732	−	0.208984i
$729$	8.96486	+	25.4682i	0.332032	+	0.943268i
$730$	6.60662	−	11.4430i	0.244522	−	0.423525i
$731$	34.6808	+	12.6228i	1.28271	+	0.466870i
$732$	−8.73600	−	7.80211i	−0.322892	−	0.288374i
$733$	10.1610	−	12.1094i	0.375304	−	0.447270i	−0.545022	−	0.838422i	$-0.683479\pi$
$733$	10.1610	−	12.1094i	0.375304	−	0.447270i	0.920326	+	0.391151i	$0.127923\pi$
$734$	−22.1215	+	8.05155i	−0.816518	+	0.297188i
$735$	7.95559	−	32.9803i	0.293446	−	1.21650i
$736$	0.501901	+	2.84642i	0.0185003	+	0.104921i
$737$			33.0865i			1.21876i
$738$	−2.67982	+	6.15260i	−0.0986454	+	0.226480i
$739$	30.4080			1.11858			0.559289	−	0.828973i	$-0.311074\pi$
$739$	30.4080			1.11858			0.559289	+	0.828973i	$0.311074\pi$
$740$	10.6248	−	8.91526i	0.390575	−	0.327732i
$741$	4.44220	−	0.642665i	0.163188	−	0.0236089i
$742$	7.23067	+	28.7801i	0.265446	+	1.05655i
$743$	−15.5471	+	18.5283i	−0.570368	+	0.679738i	−0.971706	−	0.236192i	$-0.924101\pi$
$743$	−15.5471	+	18.5283i	−0.570368	+	0.679738i	0.401339	+	0.915930i	$0.368545\pi$
$744$	10.7118	−	1.54971i	0.392714	−	0.0568150i
$745$	4.38767	−	0.773664i	0.160752	−	0.0283449i
$746$			2.07293i			0.0758955i
$747$	7.54511	+	7.16905i	0.276061	+	0.262302i
$748$	−27.7607	+	16.0276i	−1.01503	+	0.586029i
$749$	6.21827	−	4.21056i	0.227211	−	0.153851i
$750$	4.97531	+	9.26647i	0.181673	+	0.338364i
$751$	−1.91531	+	10.8623i	−0.0698907	+	0.396370i	0.929715	+	0.368281i	$0.120053\pi$
$751$	−1.91531	+	10.8623i	−0.0698907	+	0.396370i	−0.999605	+	0.0280894i	$0.991058\pi$
$752$	−6.97189	+	2.53756i	−0.254239	+	0.0925353i
$753$	26.6091	+	5.54341i	0.969689	+	0.202013i
$754$	29.6985	−	5.23664i	1.08155	−	0.190707i
$755$	−1.27015			−0.0462253
$756$	9.05565	−	10.3439i	0.329351	−	0.376202i
$757$	−35.7258			−1.29847			−0.649237	−	0.760586i	$-0.724912\pi$
$757$	−35.7258			−1.29847			−0.649237	+	0.760586i	$0.724912\pi$
$758$	−3.93121	+	0.693178i	−0.142788	+	0.0251774i
$759$	8.98508	+	27.2769i	0.326138	+	0.990088i
$760$	−1.87461	+	0.682302i	−0.0679992	+	0.0247497i
$761$	−2.59279	+	14.7044i	−0.0939884	+	0.533035i	0.901064	+	0.433686i	$0.142787\pi$
$761$	−2.59279	+	14.7044i	−0.0939884	+	0.533035i	−0.995053	+	0.0993491i	$0.968324\pi$
$762$	−15.5717	−	0.480649i	−0.564104	−	0.0174121i
$763$	−3.09794	+	0.222227i	−0.112153	+	0.00804517i
$764$	19.1258	−	11.0423i	0.691949	−	0.399497i
$765$	−46.8184	−	2.89302i	−1.69272	−	0.104597i
$766$		−	16.9445i		−	0.612231i
$767$	42.7581	−	7.53941i	1.54391	−	0.272232i
$768$	1.07188	+	1.36055i	0.0386780	+	0.0490944i
$769$	−3.89357	+	4.64018i	−0.140406	+	0.167329i	−0.831665	−	0.555278i	$-0.812612\pi$
$769$	−3.89357	+	4.64018i	−0.140406	+	0.167329i	0.691259	+	0.722607i	$0.257056\pi$
$770$	40.8457	+	11.6329i	1.47198	+	0.419220i
$771$	0.333177	−	0.834355i	0.0119991	−	0.0300486i
$772$	−3.67435	+	3.08314i	−0.132243	+	0.110965i
$773$	−11.3887			−0.409624			−0.204812	−	0.978801i	$-0.565658\pi$
$773$	−11.3887			−0.409624			−0.204812	+	0.978801i	$0.565658\pi$
$774$	1.22204	−	19.7766i	0.0439255	−	0.710855i
$775$			17.6836i			0.635213i
$776$	−1.78605	−	10.1292i	−0.0641154	−	0.363616i
$777$	−13.8794	+	17.9805i	−0.497920	+	0.645048i
$778$	30.0201	−	10.9264i	1.07627	−	0.391731i
$779$	−1.02511	+	1.22168i	−0.0367285	+	0.0437714i
$780$	16.7324	−	5.51169i	0.599115	−	0.197350i
$781$	58.3373	+	21.2331i	2.08747	+	0.759778i
$782$	−8.07538	+	13.9870i	−0.288775	+	0.500173i
$783$	3.52941	+	42.9651i	0.126131	+	1.53545i
$784$	−6.85222	−	1.43075i	−0.244722	−	0.0510982i
$785$	16.5466	+	19.7194i	0.590572	+	0.703816i
$786$	−24.9969	+	8.23403i	−0.891608	+	0.293698i
$787$	4.06821	+	11.1773i	0.145016	+	0.398428i	0.990841	−	0.135032i	$-0.0431136\pi$
$787$	4.06821	+	11.1773i	0.145016	+	0.398428i	−0.845825	+	0.533460i	$0.820891\pi$
$788$	−12.4261	+	14.8089i	−0.442662	+	0.527544i
$789$	−30.4186	−	0.938925i	−1.08293	−	0.0334266i
$790$	32.1029	−	5.66060i	1.14217	−	0.201395i
$791$	−26.7732	−	2.76532i	−0.951947	−	0.0983234i
$792$	12.4761	+	11.8543i	0.443320	+	0.421224i
$793$	12.2902	+	21.2873i	0.436439	+	0.755934i
$794$	4.74307	+	26.8993i	0.168325	+	0.954619i
$795$	−50.4830	−	20.1590i	−1.79045	−	0.714967i
$796$	0.156576	+	0.430189i	0.00554969	+	0.0152477i
$797$	8.60099	+	7.21709i	0.304663	+	0.255642i	0.782282	−	0.622925i	$-0.214056\pi$
$797$	8.60099	+	7.21709i	0.304663	+	0.255642i	−0.477619	+	0.878567i	$0.658500\pi$
$798$	2.76045	−	1.74745i	0.0977188	−	0.0618590i
$799$	−38.9579	−	14.1795i	−1.37823	−	0.501635i
$800$	−2.45076	+	1.41495i	−0.0866475	+	0.0500260i
$801$	−1.76761	−	15.6012i	−0.0624555	−	0.551240i
$802$	−14.8505	+	25.7219i	−0.524391	+	0.908272i
$803$	−25.4549	−	9.26484i	−0.898286	−	0.326949i
$804$	8.49320	+	5.25944i	0.299532	+	0.185486i
$805$	20.7531	−	5.21399i	0.731452	−	0.183769i
$806$	−22.3686	−	3.94420i	−0.787902	−	0.138928i
$807$	−13.4250	−	2.79680i	−0.472582	−	0.0984520i
$808$	−0.325941	+	0.895515i	−0.0114666	+	0.0315041i
$809$	−4.86469	+	2.80863i	−0.171033	+	0.0987462i	−0.583073	−	0.812420i	$-0.698150\pi$
$809$	−4.86469	+	2.80863i	−0.171033	+	0.0987462i	0.412040	+	0.911166i	$0.364817\pi$
$810$	5.63432	+	24.5454i	0.197970	+	0.862437i
$811$			47.4125i			1.66488i	0.554117	+	0.832439i	$0.313056\pi$
$811$			47.4125i			1.66488i	−0.554117	+	0.832439i	$0.686944\pi$
$812$	18.1757	−	12.3072i	0.637840	−	0.431899i
$813$	44.7159	−	14.7295i	1.56825	−	0.516587i
$814$	−21.7820	−	18.2773i	−0.763458	−	0.640618i
$815$	4.33775	+	3.63980i	0.151945	+	0.127497i
$816$	−0.298600	+	9.67384i	−0.0104531	+	0.338652i
$817$	1.61048	−	4.42477i	0.0563437	−	0.154803i
$818$	−8.44083	−	14.6199i	−0.295127	−	0.511175i
$819$	−24.8416	+	14.6720i	−0.868035	+	0.512681i
$820$	−3.12972	+	5.42084i	−0.109295	+	0.189304i
$821$	−15.4774	−	18.4452i	−0.540165	−	0.643743i	0.425060	−	0.905165i	$-0.360253\pi$
$821$	−15.4774	−	18.4452i	−0.540165	−	0.643743i	−0.965225	+	0.261422i	$0.915809\pi$
$822$	−2.81764	−	3.57647i	−0.0982766	−	0.124744i
$823$	−3.04308	+	17.2582i	−0.106075	+	0.601582i	0.884710	+	0.466141i	$0.154356\pi$
$823$	−3.04308	+	17.2582i	−0.106075	+	0.601582i	−0.990785	+	0.135441i	$0.956755\pi$
$824$	13.2441	−	4.82046i	0.461380	−	0.167929i
$825$	−22.0871	+	17.4008i	−0.768973	+	0.605819i
$826$	26.1682	−	17.7192i	0.910510	−	0.616531i
$827$	26.4430	+	15.2669i	0.919514	+	0.530882i	0.883480	−	0.468469i	$-0.155194\pi$
$827$	26.4430	+	15.2669i	0.919514	+	0.530882i	0.0360340	+	0.999351i	$0.488528\pi$
$828$	8.43015	+	2.02949i	0.292968	+	0.0705298i
$829$	−10.8889	−	6.28669i	−0.378186	−	0.218346i	0.298843	−	0.954302i	$-0.403399\pi$
$829$	−10.8889	−	6.28669i	−0.378186	−	0.218346i	−0.677029	+	0.735957i	$0.736733\pi$
$830$	6.24003	+	7.43657i	0.216594	+	0.258127i
$831$	1.45593	−	47.1683i	0.0505058	−	1.63625i
$832$	−1.24320	−	3.41566i	−0.0431001	−	0.118417i
$833$	−24.1923	−	30.7362i	−0.838212	−	1.06495i
$834$	−5.00861	+	5.60814i	−0.173434	+	0.194194i
$835$	1.00399	+	5.69392i	0.0347446	+	0.197046i
$836$	2.04490	+	3.54187i	0.0707243	+	0.122498i
$837$	8.57009	−	31.3186i	0.296226	−	1.08253i
$838$	−14.8940	−	8.59905i	−0.514504	−	0.297049i
$839$	23.7004	−	19.8870i	0.818230	−	0.686577i	−0.134327	−	0.990937i	$-0.542887\pi$
$839$	23.7004	−	19.8870i	0.818230	−	0.686577i	0.952557	+	0.304360i	$0.0984427\pi$
$840$	9.47896	−	8.63580i	0.327055	−	0.297963i
$841$	−6.91671	+	39.2266i	−0.238507	+	1.35264i
$842$	−16.0531	−	2.83060i	−0.553228	−	0.0975490i
$843$	−2.82819	−	5.26748i	−0.0974081	−	0.181422i
$844$	14.6784	−	12.3167i	0.505253	−	0.423957i
$845$	−0.593902			−0.0204308
$846$	−1.37276	+	22.2156i	−0.0471964	+	0.763789i
$847$	5.95531	−	57.6581i	0.204627	−	1.98115i
$848$	−3.83607	+	10.5395i	−0.131731	+	0.361928i
$849$	26.0948	−	20.5582i	0.895572	−	0.705557i
$850$	−15.5728	−	2.74590i	−0.534143	−	0.0941838i
$851$	−14.1087	−	2.48775i	−0.483641	−	0.0852790i
$852$	14.7238	−	11.5998i	0.504428	−	0.397402i
$853$	−7.72199	+	21.2160i	−0.264396	+	0.726422i	0.734462	+	0.678649i	$0.237434\pi$
$853$	−7.72199	+	21.2160i	−0.264396	+	0.726422i	−0.998858	+	0.0477724i	$0.984788\pi$
$854$	14.4935	+	10.4904i	0.495959	+	0.358974i
$855$	−0.369108	+	5.97336i	−0.0126232	+	0.204285i
$856$	2.83840			0.0970146
$857$	−28.4957	+	23.9107i	−0.973395	+	0.816775i	−0.983080	−	0.183178i	$-0.941362\pi$
$857$	−28.4957	+	23.9107i	−0.973395	+	0.816775i	0.00968487	+	0.999953i	$0.496917\pi$
$858$	−17.0846	−	31.8199i	−0.583259	−	1.08631i
$859$	−35.3044	−	6.22512i	−1.20457	−	0.212398i	−0.464898	−	0.885364i	$-0.653909\pi$
$859$	−35.3044	−	6.22512i	−1.20457	−	0.212398i	−0.739674	+	0.672966i	$0.765020\pi$
$860$	3.20927	−	18.2007i	0.109435	−	0.620638i
$861$	3.11068	−	9.76767i	0.106012	−	0.332881i
$862$	−20.6584	+	17.3345i	−0.703629	+	0.590415i
$863$	−21.5563	−	12.4455i	−0.733785	−	0.423651i	0.0860204	−	0.996293i	$-0.472585\pi$
$863$	−21.5563	−	12.4455i	−0.733785	−	0.423651i	−0.819805	+	0.572643i	$0.805918\pi$
$864$	5.02616	−	1.31822i	0.170993	−	0.0448468i
$865$	17.6348	+	30.5445i	0.599603	+	1.03854i
$866$	−7.07742	−	40.1380i	−0.240501	−	1.36395i
$867$	−16.4110	+	18.3753i	−0.557346	+	0.624059i
$868$	−16.0346	+	4.02851i	−0.544249	+	0.136736i
$869$	−22.8571	−	62.7993i	−0.775374	−	2.13032i
$870$	−1.24056	+	40.1908i	−0.0420589	+	1.36259i
$871$	−13.4757	−	16.0597i	−0.456607	−	0.544163i
$872$	−1.01664	−	0.586960i	−0.0344279	−	0.0198770i
$873$	−29.9992	−	7.22209i	−1.01532	−	0.244431i
$874$	1.78454	+	1.03030i	0.0603629	+	0.0348505i
$875$	−9.00793	−	13.3031i	−0.304523	−	0.449728i
$876$	−6.42457	+	5.06146i	−0.217066	+	0.171011i
$877$	1.77202	−	0.644963i	0.0598369	−	0.0217788i	−0.311928	−	0.950106i	$-0.600975\pi$
$877$	1.77202	−	0.644963i	0.0598369	−	0.0217788i	0.371765	+	0.928327i	$0.378753\pi$
$878$	1.91474	−	10.8590i	0.0646193	−	0.366475i
$879$	28.3315	+	35.9615i	0.955598	+	1.21295i
$880$	10.3181	+	12.2967i	0.347824	+	0.414520i
$881$	6.21346	−	10.7620i	0.209337	−	0.362582i	−0.742169	−	0.670213i	$-0.766203\pi$
$881$	6.21346	−	10.7620i	0.209337	−	0.362582i	0.951506	+	0.307631i	$0.0995362\pi$
$882$	−12.1440	+	17.1326i	−0.408908	+	0.576883i
$883$	23.0595	+	39.9401i	0.776012	+	1.34409i	0.934224	+	0.356688i	$0.116094\pi$
$883$	23.0595	+	39.9401i	0.776012	+	1.34409i	−0.158211	+	0.987405i	$0.550573\pi$
$884$	6.94680	−	19.0862i	0.233646	−	0.641938i
$885$	−1.78609	+	57.8643i	−0.0600386	+	1.94509i
$886$	1.37798	+	1.15626i	0.0462941	+	0.0388454i
$887$	7.29293	+	6.11950i	0.244873	+	0.205473i	0.756961	−	0.653460i	$-0.226683\pi$
$887$	7.29293	+	6.11950i	0.244873	+	0.205473i	−0.512088	+	0.858933i	$0.671128\pi$
$888$	−8.15418	+	2.68601i	−0.273636	+	0.0901366i
$889$	23.7365	−	1.70272i	0.796098	−	0.0571072i
$890$		−	14.6448i		−	0.490895i
$891$	47.5504	−	20.1136i	1.59300	−	0.673830i
$892$	−13.3009	+	7.67931i	−0.445349	+	0.257122i
$893$	−1.80910	+	4.97047i	−0.0605393	+	0.166330i
$894$	−2.69985	−	0.562453i	−0.0902965	−	0.0188112i
$895$	−62.0458	−	10.9403i	−2.07396	−	0.365696i
$896$	−1.84131	−	1.89989i	−0.0615139	−	0.0634708i
$897$	−15.4708	−	9.58031i	−0.516553	−	0.319877i
$898$	−31.8563	−	11.5947i	−1.06306	−	0.386922i
$899$	25.9218	−	44.8978i	0.864539	−	1.49743i
$900$	0.955767	+	8.43571i	0.0318589	+	0.281190i
$901$	−54.2762	+	31.3364i	−1.80820	+	1.04397i
$902$	12.0587	+	4.38899i	0.401509	+	0.146137i
$903$	1.23316	+	30.2417i	0.0410371	+	1.00638i
$904$	−7.79310	−	6.53919i	−0.259195	−	0.217490i
$905$	14.8439	+	40.7833i	0.493428	+	1.35568i
$906$	0.730144	+	0.291563i	0.0242574	+	0.00968654i
$907$	9.26022	+	52.5173i	0.307481	+	1.74381i	0.611593	+	0.791173i	$0.290529\pi$
$907$	9.26022	+	52.5173i	0.307481	+	1.74381i	−0.304112	+	0.952636i	$0.598360\pi$
$908$	2.35792	+	4.08404i	0.0782504	+	0.135534i
$909$	2.07258	+	1.96928i	0.0687432	+	0.0653169i
$910$	−24.5639	+	10.9895i	−0.814285	+	0.364299i
$911$	−34.1820	+	6.02721i	−1.13250	+	0.199690i	−0.708323	−	0.705888i	$-0.750548\pi$
$911$	−34.1820	+	6.02721i	−1.13250	+	0.199690i	−0.424178	+	0.905579i	$0.639437\pi$
$912$	1.23424	+	0.0380971i	0.0408699	+	0.00126152i
$913$	12.7927	−	15.2458i	0.423378	−	0.504562i
$914$	1.20016	+	3.29741i	0.0396978	+	0.109069i
$915$	−31.1294	+	10.2541i	−1.02911	+	0.338991i
$916$	−1.06882	−	1.27377i	−0.0353148	−	0.0420865i
$917$	36.6965	−	16.4175i	1.21182	−	0.542152i
$918$	26.2495	+	12.4103i	0.866362	+	0.409600i
$919$	21.0983	−	36.5433i	0.695968	−	1.20545i	−0.273885	−	0.961762i	$-0.588309\pi$
$919$	21.0983	−	36.5433i	0.695968	−	1.20545i	0.969853	−	0.243690i	$-0.0783578\pi$
$920$	7.59997	+	2.76616i	0.250564	+	0.0911977i
$921$	−11.4279	+	3.76437i	−0.376561	+	0.124040i
$922$	6.82543	−	8.13423i	0.224784	−	0.267887i
$923$	−36.9641	+	13.4538i	−1.21669	+	0.442838i
$924$	−20.8099	−	16.0634i	−0.684594	−	0.528446i
$925$	−2.43573	−	13.8137i	−0.0800863	−	0.454192i
$926$			21.2805i			0.699321i
$927$	2.60775	−	42.2018i	0.0856497	−	1.38609i
$928$	8.29649			0.272346
$929$	−12.4353	+	10.4345i	−0.407990	+	0.342344i	−0.823572	−	0.567212i	$-0.808022\pi$
$929$	−12.4353	+	10.4345i	−0.407990	+	0.342344i	0.415583	+	0.909555i	$0.363578\pi$
$930$	11.2314	−	28.1262i	0.368293	−	0.922294i
$931$	−3.92150	+	3.08659i	−0.128522	+	0.101159i
$932$	−5.71977	+	6.81656i	−0.187357	+	0.223284i
$933$	11.5545	+	14.6662i	0.378276	+	0.480151i
$934$	−29.7269	+	5.24166i	−0.972694	+	0.171512i
$935$			89.6970i			2.93340i
$936$	−10.8838	−	0.672539i	−0.355749	−	0.0219826i
$937$	−19.6359	+	11.3368i	−0.641478	+	0.370357i	−0.785184	−	0.619263i	$-0.787431\pi$
$937$	−19.6359	+	11.3368i	−0.641478	+	0.370357i	0.143706	+	0.989620i	$0.454098\pi$
$938$	−13.7273	−	6.66473i	−0.448212	−	0.217611i
$939$	−29.7831	−	0.919309i	−0.971935	−	0.0300005i
$940$	−3.60506	+	20.4453i	−0.117584	+	0.666853i
$941$	21.5765	−	7.85321i	0.703374	−	0.256007i	0.0345233	−	0.999404i	$-0.489009\pi$
$941$	21.5765	−	7.85321i	0.703374	−	0.256007i	0.668851	+	0.743397i	$0.266786\pi$
$942$	−4.98518	−	15.1340i	−0.162426	−	0.493092i
$943$	6.36733	−	1.12273i	0.207349	−	0.0365612i
$944$	11.9448			0.388770
$945$	−12.3966	−	36.4167i	−0.403262	−	1.18463i
$946$	−37.8890			−1.23188
$947$	−5.34619	+	0.942678i	−0.173728	+	0.0306329i	−0.259835	−	0.965653i	$-0.583668\pi$
$947$	−5.34619	+	0.942678i	−0.173728	+	0.0306329i	0.0861074	+	0.996286i	$0.472557\pi$
$948$	−19.7537	−	4.11525i	−0.641572	−	0.133657i
$949$	16.1289	−	5.87045i	0.523567	−	0.190563i
$950$	−0.350338	+	1.98687i	−0.0113665	+	0.0644625i
$951$	−3.21340	−	5.98494i	−0.104202	−	0.194075i
$952$	−1.05780	−	14.7462i	−0.0342835	−	0.477926i
$953$	49.7750	−	28.7376i	1.61237	−	0.930903i	0.623553	−	0.781781i	$-0.285689\pi$
$953$	49.7750	−	28.7376i	1.61237	−	0.930903i	0.988819	−	0.149122i	$-0.0476447\pi$
$954$	24.3927	+	23.1769i	0.789741	+	0.750379i
$955$		−	61.7971i		−	1.99971i
$956$	26.0000	−	4.58450i	0.840899	−	0.148273i
$957$	81.5853	−	11.8032i	2.63728	−	0.381542i
$958$	16.2114	−	19.3200i	0.523766	−	0.624200i
$959$	4.84026	+	4.99424i	0.156300	+	0.161272i
$960$	4.79668	−	0.693949i	0.154812	−	0.0223971i
$961$	−6.16520	+	5.17322i	−0.198878	+	0.166878i
$962$	18.0168			0.580884
$963$	3.40033	−	7.80683i	0.109574	−	0.251571i
$964$		−	8.40968i		−	0.270857i
$965$	2.33064	+	13.2177i	0.0750259	+	0.425493i
$966$	−13.1268	−	1.76664i	−0.422349	−	0.0568407i
$967$	−5.85270	+	2.13021i	−0.188210	+	0.0685029i	−0.434406	−	0.900717i	$-0.643042\pi$
$967$	−5.85270	+	2.13021i	−0.188210	+	0.0685029i	0.246196	+	0.969220i	$0.420819\pi$
$968$	14.0826	−	16.7830i	0.452632	−	0.539426i
$969$	5.14639	+	4.59623i	0.165326	+	0.147652i
$970$	−27.0450	−	9.84357i	−0.868362	−	0.316058i
$971$	13.0293	−	22.5675i	0.418131	−	0.724224i	−0.577620	−	0.816305i	$-0.696019\pi$
$971$	13.0293	−	22.5675i	0.418131	−	0.724224i	0.995752	+	0.0920812i	$0.0293519\pi$
$972$	2.39553	−	15.4033i	0.0768368	−	0.494061i
$973$	6.73439	−	9.30423i	0.215895	−	0.298280i
$974$	0.0798557	+	0.0951683i	0.00255874	+	0.00304939i
$975$	3.63363	−	17.4419i	0.116369	−	0.558588i
$976$	2.31288	+	6.35459i	0.0740335	+	0.203405i
$977$	14.9860	−	17.8596i	0.479444	−	0.571379i	−0.471056	−	0.882103i	$-0.656127\pi$
$977$	14.9860	−	17.8596i	0.479444	−	0.571379i	0.950500	+	0.310724i	$0.100571\pi$
$978$	−1.65804	−	3.08808i	−0.0530182	−	0.0987459i
$979$	−29.5673	+	5.21351i	−0.944975	+	0.166625i
$980$	−13.0541	+	14.6033i	−0.416997	+	0.466485i
$981$	−2.83230	+	2.09305i	−0.0904285	+	0.0668258i
$982$	1.89037	+	3.27422i	0.0603243	+	0.104485i
$983$	−8.98408	−	50.9512i	−0.286548	−	1.62509i	−0.699705	−	0.714432i	$-0.746685\pi$
$983$	−8.98408	−	50.9512i	−0.286548	−	1.62509i	0.413157	−	0.910660i	$-0.364426\pi$
$984$	3.04348	−	2.39774i	0.0970227	−	0.0764372i
$985$	18.5011	+	50.8313i	0.589494	+	1.61962i
$986$	35.5135	+	29.7994i	1.13098	+	0.949005i
$987$	−1.38525	−	33.9714i	−0.0440929	−	1.08132i
$988$	−2.43512	−	0.886312i	−0.0774716	−	0.0281974i
$989$	−16.5324	+	9.54500i	−0.525700	+	0.303513i
$990$	46.1819	−	13.6482i	1.46776	−	0.433768i
$991$	−10.1813	+	17.6345i	−0.323419	+	0.560179i	−0.981191	−	0.193038i	$-0.938166\pi$
$991$	−10.1813	+	17.6345i	−0.323419	+	0.560179i	0.657772	+	0.753217i	$0.271499\pi$
$992$	−5.87200	−	2.13723i	−0.186436	−	0.0678572i
$993$	16.9502	−	9.10082i	0.537899	−	0.288806i
$994$	−20.5605	+	19.9266i	−0.652139	+	0.632034i
$995$	1.26155	+	0.222445i	0.0399937	+	0.00705197i
$996$	−1.88001	−	5.70732i	−0.0595703	−	0.180843i
$997$	8.69828	−	23.8983i	0.275477	−	0.756868i	−0.722383	−	0.691493i	$-0.756953\pi$
$997$	8.69828	−	23.8983i	0.275477	−	0.756868i	0.997861	−	0.0653750i	$-0.0208244\pi$
$998$	3.63084	−	2.09626i	0.114932	−	0.0663561i
$999$	−2.38081	+	25.6453i	−0.0753255	+	0.811380i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	378.2.bf.a.5.15	yes	144
7.3	odd	6		378.2.ba.a.59.1	✓	144
27.11	odd	18		378.2.ba.a.173.1	yes	144
189.38	even	18	inner	378.2.bf.a.227.15	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.ba.a.59.1	✓	144	7.3	odd	6
378.2.ba.a.173.1	yes	144	27.11	odd	18
378.2.bf.a.5.15	yes	144	1.1	even	1	trivial
378.2.bf.a.227.15	yes	144	189.38	even	18	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	378.bf (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.984808 - 0.173648i) q^{2} +(-1.15375 + 1.29185i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.485901 - 2.75568i) q^{5} +(-0.911891 + 1.47257i) q^{6} +(1.15554 - 2.38007i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-0.337739 - 2.98093i) q^{9} +O(q^{10})\)	\(q+(0.984808 - 0.173648i) q^{2} +(-1.15375 + 1.29185i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.485901 - 2.75568i) q^{5} +(-0.911891 + 1.47257i) q^{6} +(1.15554 - 2.38007i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-0.337739 - 2.98093i) q^{9} -2.79820i q^{10} +(-5.64945 + 0.996151i) q^{11} +(-0.642329 + 1.60854i) q^{12} +(2.33645 - 2.78447i) q^{13} +(0.724694 - 2.54457i) q^{14} +(2.99932 + 3.80707i) q^{15} +(0.766044 - 0.642788i) q^{16} +5.58785 q^{17} +(-0.850241 - 2.87699i) q^{18} -0.712930i q^{19} +(-0.485901 - 2.75568i) q^{20} +(1.74148 + 4.23878i) q^{21} +(-5.39065 + 1.96203i) q^{22} +(-1.85787 + 2.21412i) q^{23} +(-0.353250 + 1.69565i) q^{24} +(-2.65923 - 0.967881i) q^{25} +(1.81743 - 3.14789i) q^{26} +(4.24057 + 3.00293i) q^{27} +(0.271825 - 2.63175i) q^{28} +(5.33288 + 6.35548i) q^{29} +(3.61484 + 3.22841i) q^{30} +(-2.13723 - 5.87200i) q^{31} +(0.642788 - 0.766044i) q^{32} +(5.23116 - 8.44754i) q^{33} +(5.50296 - 0.970320i) q^{34} +(-5.99723 - 4.34079i) q^{35} +(-1.33691 - 2.68564i) q^{36} +(2.47833 + 4.29259i) q^{37} +(-0.123799 - 0.702099i) q^{38} +(0.901442 + 6.23090i) q^{39} +(-0.957039 - 2.62944i) q^{40} +(-1.71361 - 1.43789i) q^{41} +(2.45108 + 3.87198i) q^{42} +(6.20646 + 2.25896i) q^{43} +(-4.96805 + 2.86830i) q^{44} +(-8.37860 - 0.517734i) q^{45} +(-1.44517 + 2.50310i) q^{46} +(-6.97189 - 2.53756i) q^{47} +(-0.0534374 + 1.73123i) q^{48} +(-4.32944 - 5.50054i) q^{49} +(-2.78690 - 0.491406i) q^{50} +(-6.44696 + 7.21865i) q^{51} +(1.24320 - 3.41566i) q^{52} +(-9.71326 + 5.60795i) q^{53} +(4.69760 + 2.22094i) q^{54} +16.0521i q^{55} +(-0.189304 - 2.63897i) q^{56} +(0.920997 + 0.822540i) q^{57} +(6.35548 + 5.33288i) q^{58} +(9.15025 + 7.67797i) q^{59} +(4.12053 + 2.55165i) q^{60} +(-2.31288 + 6.35459i) q^{61} +(-3.12442 - 5.41166i) q^{62} +(-7.48508 - 2.64075i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-6.53783 - 7.79149i) q^{65} +(3.68479 - 9.22758i) q^{66} +(1.00154 - 5.67999i) q^{67} +(5.25086 - 1.91116i) q^{68} +(-0.716799 - 4.95462i) q^{69} +(-6.65989 - 3.23344i) q^{70} +(-9.37209 - 5.41098i) q^{71} +(-1.78295 - 2.41269i) q^{72} +(4.08942 + 2.36103i) q^{73} +(3.18608 + 3.79702i) q^{74} +(4.31843 - 2.31863i) q^{75} +(-0.243836 - 0.669935i) q^{76} +(-4.15728 + 14.5972i) q^{77} +(1.96973 + 5.97971i) q^{78} +(2.02295 + 11.4727i) q^{79} +(-1.39910 - 2.42331i) q^{80} +(-8.77186 + 2.01355i) q^{81} +(-1.93726 - 1.11848i) q^{82} +(-2.65763 + 2.23002i) q^{83} +(3.08620 + 3.38753i) q^{84} +(2.71515 - 15.3984i) q^{85} +(6.50443 + 1.14691i) q^{86} +(-14.3631 - 0.443343i) q^{87} +(-4.39449 + 3.68742i) q^{88} +5.23366 q^{89} +(-8.34122 + 0.945061i) q^{90} +(-3.92736 - 8.77847i) q^{91} +(-0.988552 + 2.71603i) q^{92} +(10.0515 + 4.01382i) q^{93} +(-7.30661 - 1.28835i) q^{94} +(-1.96461 - 0.346414i) q^{95} +(0.247999 + 1.71420i) q^{96} +(3.51783 - 9.66515i) q^{97} +(-5.21882 - 4.66518i) q^{98} +(4.87750 + 16.5042i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q + 18 q^{6} - 12 q^{9}+O(q^{10}) \) 144 * q + 18 * q^6 - 12 * q^9	\( 144 q + 18 q^{6} - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 6 q^{21} - 6 q^{23} - 6 q^{29} - 18 q^{30} - 54 q^{35} + 6 q^{36} - 6 q^{39} + 24 q^{42} - 54 q^{47} + 18 q^{49} + 12 q^{50} + 18 q^{51} + 90 q^{53} - 54 q^{54} - 12 q^{56} - 6 q^{57} - 90 q^{59} - 36 q^{60} - 24 q^{63} + 72 q^{64} - 84 q^{65} - 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} + 18 q^{74} - 90 q^{75} - 78 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 90 q^{87} - 18 q^{91} - 42 q^{92} - 12 q^{93} + 78 q^{95} - 36 q^{98} - 108 q^{99}+O(q^{100}) \) 144 * q + 18 * q^6 - 12 * q^9 + 12 * q^11 + 6 * q^14 + 12 * q^15 + 6 * q^21 - 6 * q^23 - 6 * q^29 - 18 * q^30 - 54 * q^35 + 6 * q^36 - 6 * q^39 + 24 * q^42 - 54 * q^47 + 18 * q^49 + 12 * q^50 + 18 * q^51 + 90 * q^53 - 54 * q^54 - 12 * q^56 - 6 * q^57 - 90 * q^59 - 36 * q^60 - 24 * q^63 + 72 * q^64 - 84 * q^65 - 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 + 18 * q^74 - 90 * q^75 - 78 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 90 * q^87 - 18 * q^91 - 42 * q^92 - 12 * q^93 + 78 * q^95 - 36 * q^98 - 108 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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