LMFDB - Embedded newform 184.2.p.a.101.18

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(13,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([0, 11, 14])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.13"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.p (of order $22$, degree $10$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			101.18
Character	$\chi$	$=$	184.101
Dual form			184.2.p.a.133.18

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.844669 - 1.13425i) q^{2} +(0.509610 - 0.441579i) q^{3} +(-0.573068 - 1.91614i) q^{4} +(-0.350770 + 0.0504331i) q^{5} +(-0.0704119 - 0.951016i) q^{6} +(1.12163 - 2.45603i) q^{7} +(-2.65744 - 0.968500i) q^{8} +(-0.362235 + 2.51940i) q^{9} +(-0.239080 + 0.440462i) q^{10} +(-0.110606 + 0.376689i) q^{11} +(-1.13817 - 0.723429i) q^{12} +(2.10545 - 0.961527i) q^{13} +(-1.83835 - 3.34674i) q^{14} +(-0.156486 + 0.180594i) q^{15} +(-3.34319 + 2.19616i) q^{16} +(-1.31431 - 0.844657i) q^{17} +(2.55167 + 2.53892i) q^{18} +(3.83843 + 5.97272i) q^{19} +(0.297652 + 0.643223i) q^{20} +(-0.512937 - 1.74690i) q^{21} +(0.333836 + 0.443633i) q^{22} +(3.98970 - 2.66126i) q^{23} +(-1.78193 + 0.679916i) q^{24} +(-4.67697 + 1.37328i) q^{25} +(0.687792 - 3.20029i) q^{26} +(2.02160 + 3.14566i) q^{27} +(-5.34886 - 0.741730i) q^{28} +(-3.92773 + 6.11166i) q^{29} +(0.0726610 + 0.330037i) q^{30} +(2.12903 - 2.45703i) q^{31} +(-0.332885 + 5.64705i) q^{32} +(0.109972 + 0.240806i) q^{33} +(-2.06821 + 0.777308i) q^{34} +(-0.269569 + 0.918067i) q^{35} +(5.03510 - 0.749694i) q^{36} +(0.846430 + 0.121698i) q^{37} +(10.0168 + 0.691210i) q^{38} +(0.648367 - 1.41973i) q^{39} +(0.980996 + 0.205697i) q^{40} +(0.620713 + 4.31715i) q^{41} +(-2.41470 - 0.893754i) q^{42} +(6.33782 - 5.49175i) q^{43} +(0.785173 - 0.00393201i) q^{44} -0.901997i q^{45} +(0.351433 - 6.77322i) q^{46} -8.11069 q^{47} +(-0.733943 + 2.59547i) q^{48} +(-0.189983 - 0.219253i) q^{49} +(-2.39284 + 6.46484i) q^{50} +(-1.04277 + 0.149928i) q^{51} +(-3.04899 - 3.48332i) q^{52} +(-2.85849 - 1.30543i) q^{53} +(5.27556 + 0.364041i) q^{54} +(0.0197996 - 0.137709i) q^{55} +(-5.35933 + 5.44045i) q^{56} +(4.59353 + 1.34878i) q^{57} +(3.61455 + 9.61737i) q^{58} +(-1.26798 + 0.579067i) q^{59} +(0.435720 + 0.196356i) q^{60} +(-6.68536 - 5.79289i) q^{61} +(-0.988574 - 4.49024i) q^{62} +(5.78141 + 3.71549i) q^{63} +(6.12402 + 5.14747i) q^{64} +(-0.690035 + 0.443459i) q^{65} +(0.366025 + 0.0786646i) q^{66} +(-1.65042 - 5.62083i) q^{67} +(-0.865291 + 3.00245i) q^{68} +(0.858034 - 3.11797i) q^{69} +(0.813625 + 1.08122i) q^{70} +(0.352983 - 0.103645i) q^{71} +(3.40265 - 6.34433i) q^{72} +(-5.58705 + 3.59058i) q^{73} +(0.852990 - 0.857273i) q^{74} +(-1.77702 + 2.76509i) q^{75} +(9.24488 - 10.7777i) q^{76} +(0.801099 + 0.694156i) q^{77} +(-1.06268 - 1.93461i) q^{78} +(0.208370 + 0.456266i) q^{79} +(1.06193 - 0.938953i) q^{80} +(-4.90732 - 1.44092i) q^{81} +(5.42105 + 2.94252i) q^{82} +(-8.68271 - 1.24839i) q^{83} +(-3.05336 + 1.98395i) q^{84} +(0.503619 + 0.229995i) q^{85} +(-0.875684 - 11.8274i) q^{86} +(0.697176 + 4.84897i) q^{87} +(0.658752 - 0.893908i) q^{88} +(3.67146 + 4.23709i) q^{89} +(-1.02309 - 0.761889i) q^{90} -6.24951i q^{91} +(-7.38571 - 6.11974i) q^{92} -2.19226i q^{93} +(-6.85085 + 9.19959i) q^{94} +(-1.64763 - 1.90147i) q^{95} +(2.32398 + 3.02479i) q^{96} +(-2.55763 - 17.7887i) q^{97} +(-0.409162 + 0.0302937i) q^{98} +(-0.908964 - 0.415110i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) $ 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{11}\right)$

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 $

$2$	0.844669	−	1.13425i	0.597271	−	0.802039i
$2$	0.844669	−	1.13425i	0.597271	−	0.802039i
$3$	0.509610	−	0.441579i	0.294223	−	0.254946i	−0.495223	−	0.868766i	$-0.664913\pi$
$3$	0.509610	−	0.441579i	0.294223	−	0.254946i	0.789446	+	0.613820i	$0.210368\pi$
$4$	−0.573068	−	1.91614i	−0.286534	−	0.958070i
$5$	−0.350770	+	0.0504331i	−0.156869	+	0.0225544i	−0.220302	−	0.975432i	$-0.570704\pi$
$5$	−0.350770	+	0.0504331i	−0.156869	+	0.0225544i	0.0634328	+	0.997986i	$0.479795\pi$
$6$	−0.0704119	−	0.951016i	−0.0287455	−	0.388251i
$7$	1.12163	−	2.45603i	0.423936	−	0.928290i	−0.570336	−	0.821411i	$-0.693187\pi$
$7$	1.12163	−	2.45603i	0.423936	−	0.928290i	0.994272	−	0.106879i	$-0.0340857\pi$
$8$	−2.65744	−	0.968500i	−0.939548	−	0.342416i
$9$	−0.362235	+	2.51940i	−0.120745	+	0.839799i
$10$	−0.239080	+	0.440462i	−0.0756039	+	0.139286i
$11$	−0.110606	+	0.376689i	−0.0333489	+	0.113576i	−0.974485	−	0.224451i	$-0.927941\pi$
$11$	−0.110606	+	0.376689i	−0.0333489	+	0.113576i	0.941137	+	0.338027i	$0.109759\pi$
$12$	−1.13817	−	0.723429i	−0.328561	−	0.208836i
$13$	2.10545	−	0.961527i	0.583947	−	0.266680i	−0.101460	−	0.994840i	$-0.532352\pi$
$13$	2.10545	−	0.961527i	0.583947	−	0.266680i	0.685407	+	0.728160i	$0.259624\pi$
$14$	−1.83835	−	3.34674i	−0.491320	−	0.894455i
$15$	−0.156486	+	0.180594i	−0.0404044	+	0.0466292i
$16$	−3.34319	+	2.19616i	−0.835797	+	0.549039i
$17$	−1.31431	−	0.844657i	−0.318767	−	0.204859i	0.371465	−	0.928447i	$-0.378855\pi$
$17$	−1.31431	−	0.844657i	−0.318767	−	0.204859i	−0.690233	+	0.723588i	$0.742492\pi$
$18$	2.55167	+	2.53892i	0.601435	+	0.598430i
$19$	3.83843	+	5.97272i	0.880597	+	1.37024i	0.928480	+	0.371383i	$0.121116\pi$
$19$	3.83843	+	5.97272i	0.880597	+	1.37024i	−0.0478831	+	0.998853i	$0.515247\pi$
$20$	0.297652	+	0.643223i	0.0665570	+	0.143829i
$21$	−0.512937	−	1.74690i	−0.111932	−	0.381205i
$22$	0.333836	+	0.443633i	0.0711740	+	0.0945828i
$23$	3.98970	−	2.66126i	0.831910	−	0.554910i
$23$	3.98970	−	2.66126i	0.831910	−	0.554910i
$24$	−1.78193	+	0.679916i	−0.363735	+	0.138787i
$25$	−4.67697	+	1.37328i	−0.935394	+	0.274656i
$26$	0.687792	−	3.20029i	0.134887	−	0.627628i
$27$	2.02160	+	3.14566i	0.389056	+	0.605383i
$28$	−5.34886	−	0.741730i	−1.01084	−	0.140174i
$29$	−3.92773	+	6.11166i	−0.729360	+	1.13491i	0.256371	+	0.966579i	$0.417473\pi$
$29$	−3.92773	+	6.11166i	−0.729360	+	1.13491i	−0.985731	+	0.168328i	$0.946163\pi$
$30$	0.0726610	+	0.330037i	0.0132660	+	0.0602562i
$31$	2.12903	−	2.45703i	0.382385	−	0.441296i	−0.531630	−	0.846977i	$-0.678420\pi$
$31$	2.12903	−	2.45703i	0.382385	−	0.441296i	0.914015	+	0.405681i	$0.132966\pi$
$32$	−0.332885	+	5.64705i	−0.0588463	+	0.998267i
$33$	0.109972	+	0.240806i	0.0191437	+	0.0419189i
$34$	−2.06821	+	0.777308i	−0.354696	+	0.133307i
$35$	−0.269569	+	0.918067i	−0.0455654	+	0.155182i
$36$	5.03510	−	0.749694i	0.839184	−	0.124949i
$37$	0.846430	+	0.121698i	0.139152	+	0.0200071i	0.211539	−	0.977370i	$-0.432152\pi$
$37$	0.846430	+	0.121698i	0.139152	+	0.0200071i	−0.0723867	+	0.997377i	$0.523062\pi$
$38$	10.0168	+	0.691210i	1.62494	+	0.112129i
$39$	0.648367	−	1.41973i	0.103822	−	0.227338i
$40$	0.980996	+	0.205697i	0.155109	+	0.0325236i
$41$	0.620713	+	4.31715i	0.0969390	+	0.674226i	0.979115	+	0.203306i	$0.0651687\pi$
$41$	0.620713	+	4.31715i	0.0969390	+	0.674226i	−0.882176	+	0.470920i	$0.843922\pi$
$42$	−2.41470	−	0.893754i	−0.372596	−	0.137909i
$43$	6.33782	−	5.49175i	0.966508	−	0.837484i	−0.0202317	−	0.999795i	$-0.506440\pi$
$43$	6.33782	−	5.49175i	0.966508	−	0.837484i	0.986740	+	0.162311i	$0.0518949\pi$
$44$	0.785173	−	0.00393201i	0.118369	−	0.000592773i
$45$		−	0.901997i		−	0.134462i
$46$	0.351433	−	6.77322i	0.0518160	−	0.998657i
$47$	−8.11069			−1.18307			−0.591533	−	0.806281i	$-0.701477\pi$
$47$	−8.11069			−1.18307			−0.591533	+	0.806281i	$0.701477\pi$
$48$	−0.733943	+	2.59547i	−0.105936	+	0.374623i
$49$	−0.189983	−	0.219253i	−0.0271405	−	0.0313218i
$50$	−2.39284	+	6.46484i	−0.338399	+	0.914267i
$51$	−1.04277	+	0.149928i	−0.146017	+	0.0209941i
$52$	−3.04899	−	3.48332i	−0.422818	−	0.483049i
$53$	−2.85849	−	1.30543i	−0.392643	−	0.179314i	0.209303	−	0.977851i	$-0.432881\pi$
$53$	−2.85849	−	1.30543i	−0.392643	−	0.179314i	−0.601946	+	0.798537i	$0.705608\pi$
$54$	5.27556	+	0.364041i	0.717913	+	0.0495397i
$55$	0.0197996	−	0.137709i	0.00266978	−	0.0185687i
$56$	−5.35933	+	5.44045i	−0.716170	+	0.727011i
$57$	4.59353	+	1.34878i	0.608428	+	0.178651i
$58$	3.61455	+	9.61737i	0.474614	+	1.26282i
$59$	−1.26798	+	0.579067i	−0.165077	+	0.0753881i	−0.496240	−	0.868185i	$-0.665286\pi$
$59$	−1.26798	+	0.579067i	−0.165077	+	0.0753881i	0.331163	+	0.943574i	$0.392559\pi$
$60$	0.435720	+	0.196356i	0.0562512	+	0.0253494i
$61$	−6.68536	−	5.79289i	−0.855972	−	0.741704i	0.111747	−	0.993737i	$-0.464356\pi$
$61$	−6.68536	−	5.79289i	−0.855972	−	0.741704i	−0.967719	+	0.252033i	$0.918901\pi$
$62$	−0.988574	−	4.49024i	−0.125549	−	0.570261i
$63$	5.78141	+	3.71549i	0.728389	+	0.468107i
$64$	6.12402	+	5.14747i	0.765502	+	0.643433i
$65$	−0.690035	+	0.443459i	−0.0855884	+	0.0550043i
$66$	0.366025	+	0.0786646i	0.0450546	+	0.00968294i
$67$	−1.65042	−	5.62083i	−0.201631	−	0.686693i	−0.996773	−	0.0802698i	$-0.974422\pi$
$67$	−1.65042	−	5.62083i	−0.201631	−	0.686693i	0.795142	−	0.606424i	$-0.207396\pi$
$68$	−0.865291	+	3.00245i	−0.104932	+	0.364101i
$69$	0.858034	−	3.11797i	0.103295	−	0.375360i
$70$	0.813625	+	1.08122i	0.0972468	+	0.129231i
$71$	0.352983	−	0.103645i	0.0418913	−	0.0123004i	−0.260720	−	0.965415i	$-0.583960\pi$
$71$	0.352983	−	0.103645i	0.0418913	−	0.0123004i	0.302611	+	0.953114i	$0.402142\pi$
$72$	3.40265	−	6.34433i	0.401007	−	0.747687i
$73$	−5.58705	+	3.59058i	−0.653915	+	0.420246i	−0.825095	−	0.564994i	$-0.808878\pi$
$73$	−5.58705	+	3.59058i	−0.653915	+	0.420246i	0.171180	+	0.985240i	$0.445242\pi$
$74$	0.852990	−	0.857273i	0.0991581	−	0.0996559i
$75$	−1.77702	+	2.76509i	−0.205192	+	0.319285i
$76$	9.24488	−	10.7777i	1.06046	−	1.23629i
$77$	0.801099	+	0.694156i	0.0912937	+	0.0791064i
$78$	−1.06268	−	1.93461i	−0.120324	−	0.219052i
$79$	0.208370	+	0.456266i	0.0234434	+	0.0513339i	0.920992	−	0.389583i	$-0.127381\pi$
$79$	0.208370	+	0.456266i	0.0234434	+	0.0513339i	−0.897548	+	0.440917i	$0.854653\pi$
$80$	1.06193	−	0.938953i	0.118727	−	0.104978i
$81$	−4.90732	−	1.44092i	−0.545258	−	0.160102i
$82$	5.42105	+	2.94252i	0.598655	+	0.324947i
$83$	−8.68271	−	1.24839i	−0.953052	−	0.137028i	−0.351789	−	0.936079i	$-0.614426\pi$
$83$	−8.68271	−	1.24839i	−0.953052	−	0.137028i	−0.601263	+	0.799051i	$0.705336\pi$
$84$	−3.05336	+	1.98395i	−0.333149	+	0.216467i
$85$	0.503619	+	0.229995i	0.0546252	+	0.0249465i
$86$	−0.875684	−	11.8274i	−0.0944275	−	1.27538i
$87$	0.697176	+	4.84897i	0.0747451	+	0.519864i
$88$	0.658752	−	0.893908i	0.0702232	−	0.0952909i
$89$	3.67146	+	4.23709i	0.389174	+	0.449131i	0.916202	−	0.400717i	$-0.131239\pi$
$89$	3.67146	+	4.23709i	0.389174	+	0.449131i	−0.527028	+	0.849848i	$0.676694\pi$
$90$	−1.02309	−	0.761889i	−0.107844	−	0.0803102i
$91$		−	6.24951i		−	0.655127i
$92$	−7.38571	−	6.11974i	−0.770014	−	0.638027i
$93$		−	2.19226i		−	0.227327i
$94$	−6.85085	+	9.19959i	−0.706611	+	0.948865i
$95$	−1.64763	−	1.90147i	−0.169043	−	0.195086i
$96$	2.32398	+	3.02479i	0.237190	+	0.308716i
$97$	−2.55763	−	17.7887i	−0.259688	−	1.80617i	−0.535043	−	0.844825i	$-0.679705\pi$
$97$	−2.55763	−	17.7887i	−0.259688	−	1.80617i	0.275356	−	0.961342i	$-0.411204\pi$
$98$	−0.409162	+	0.0302937i	−0.0413316	+	0.00306013i
$99$	−0.908964	−	0.415110i	−0.0913543	−	0.0417201i
$100$	5.31162	+	8.17474i	0.531162	+	0.817474i
$101$	−12.8665	−	1.84993i	−1.28027	−	0.184075i	−0.531586	−	0.847004i	$-0.678404\pi$
$101$	−12.8665	−	1.84993i	−1.28027	−	0.184075i	−0.748682	+	0.662930i	$0.769313\pi$
$102$	−0.710739	+	1.30940i	−0.0703736	+	0.129650i
$103$	−5.31328	−	1.56012i	−0.523533	−	0.153723i	0.00927862	−	0.999957i	$-0.497046\pi$
$103$	−5.31328	−	1.56012i	−0.523533	−	0.153723i	−0.532812	+	0.846234i	$0.678865\pi$
$104$	−6.52635	+	0.516076i	−0.639962	+	0.0506054i
$105$	0.268025	+	0.586892i	0.0261565	+	0.0572748i
$106$	−3.89516	+	2.13960i	−0.378332	+	0.207816i
$107$	−6.19227	−	5.36563i	−0.598629	−	0.518715i	0.301997	−	0.953309i	$-0.402347\pi$
$107$	−6.19227	−	5.36563i	−0.598629	−	0.518715i	−0.900627	+	0.434593i	$0.856892\pi$
$108$	4.86902	−	5.67634i	0.468522	−	0.546206i
$109$	8.26756	−	12.8646i	0.791889	−	1.23220i	−0.176879	−	0.984233i	$-0.556600\pi$
$109$	8.26756	−	12.8646i	0.791889	−	1.23220i	0.968768	−	0.247970i	$-0.0797636\pi$
$110$	−0.139473	−	0.138777i	−0.0132983	−	0.0132318i
$111$	0.485088	−	0.311747i	0.0460426	−	0.0295898i
$112$	1.64400	+	10.6742i	0.155344	+	1.00862i
$113$	−1.50817	+	0.442839i	−0.141877	+	0.0416588i	−0.351900	−	0.936038i	$-0.614464\pi$
$113$	−1.50817	+	0.442839i	−0.141877	+	0.0416588i	0.210023	+	0.977696i	$0.432646\pi$
$114$	5.40988	−	4.07096i	0.506682	−	0.381280i
$115$	−1.26525	+	1.13470i	−0.117985	+	0.105811i
$116$	13.9617	+	4.02368i	1.29631	+	0.373589i
$117$	1.65980	+	5.65276i	0.153449	+	0.522598i
$118$	−0.414214	+	1.92733i	−0.0381315	+	0.177425i
$119$	−3.54867	+	2.28059i	−0.325306	+	0.209061i
$120$	0.590757	−	0.328362i	0.0539285	−	0.0299752i
$121$	9.12413	+	5.86372i	0.829466	+	0.533066i
$122$	−12.2175	+	2.68982i	−1.10612	+	0.243525i
$123$	2.22269	+	1.92597i	0.200413	+	0.173659i
$124$	−5.92810	−	2.67147i	−0.532359	−	0.239905i
$125$	3.18304	−	1.45365i	0.284700	−	0.130018i
$126$	9.09769	−	3.41924i	0.810487	−	0.304610i
$127$	−0.556482	−	0.163398i	−0.0493798	−	0.0144992i	0.256949	−	0.966425i	$-0.417283\pi$
$127$	−0.556482	−	0.163398i	−0.0493798	−	0.0144992i	−0.306329	+	0.951926i	$0.599101\pi$
$128$	11.0113	−	2.59829i	0.973271	−	0.229658i
$129$	0.804770	−	5.59730i	0.0708560	−	0.492815i
$130$	−0.0798564	+	1.15725i	−0.00700387	+	0.101498i
$131$	−6.52542	−	2.98006i	−0.570129	−	0.260369i	0.109425	−	0.993995i	$-0.465099\pi$
$131$	−6.52542	−	2.98006i	−0.570129	−	0.260369i	−0.679554	+	0.733626i	$0.737826\pi$
$132$	0.398396	−	0.348720i	0.0346759	−	0.0303522i
$133$	18.9744	−	2.72811i	1.64529	−	0.236557i
$134$	−7.76951	−	2.87574i	−0.671184	−	0.248426i
$135$	−0.867760	−	1.00145i	−0.0746849	−	0.0861910i
$136$	2.67466	+	3.51754i	0.229350	+	0.301626i
$137$	16.8050			1.43575			0.717874	−	0.696173i	$-0.245115\pi$
$137$	16.8050			1.43575			0.717874	+	0.696173i	$0.245115\pi$
$138$	−2.81182	−	3.60688i	−0.239358	−	0.307038i
$139$		−	10.9696i		−	0.930427i	−0.885199	−	0.465213i	$-0.845978\pi$
$139$		−	10.9696i		−	0.930427i	0.885199	−	0.465213i	$-0.154022\pi$
$140$	1.91363	−	0.00958311i	0.161731	−	0.000809921i
$141$	−4.13329	+	3.58151i	−0.348086	+	0.301618i
$142$	0.180594	−	0.487918i	0.0151551	−	0.0409452i
$143$	0.129321	+	0.899450i	0.0108144	+	0.0752158i
$144$	−4.32197	−	9.21834i	−0.360165	−	0.768195i
$145$	1.06950	−	2.34187i	0.0888170	−	0.194482i
$146$	−0.646578	+	9.36999i	−0.0535111	+	0.775466i
$147$	−0.193635	−	0.0278405i	−0.0159707	−	0.00229625i
$148$	−0.251871	−	1.69162i	−0.0207037	−	0.139050i
$149$	−6.08255	+	20.7153i	−0.498302	+	1.69706i	0.198759	+	0.980048i	$0.436309\pi$
$149$	−6.08255	+	20.7153i	−0.498302	+	1.69706i	−0.697061	+	0.717012i	$0.745509\pi$
$150$	1.63533	+	4.35118i	0.133524	+	0.355272i
$151$	7.38708	+	16.1754i	0.601152	+	1.31634i	0.928464	+	0.371423i	$0.121130\pi$
$151$	7.38708	+	16.1754i	0.601152	+	1.31634i	−0.327312	+	0.944916i	$0.606143\pi$
$152$	−4.41585	−	19.5897i	−0.358172	−	1.58893i
$153$	2.60412	−	3.00531i	0.210530	−	0.242965i
$154$	1.46401	−	0.322318i	0.117974	−	0.0259731i
$155$	−0.622884	+	0.969226i	−0.0500312	+	0.0778501i
$156$	−3.09195	−	0.428763i	−0.247554	−	0.0343285i
$157$	12.2198	+	19.0144i	0.975247	+	1.51751i	0.850935	+	0.525271i	$0.176036\pi$
$157$	12.2198	+	19.0144i	0.975247	+	1.51751i	0.124313	+	0.992243i	$0.460327\pi$
$158$	0.693525	+	0.149049i	0.0551739	+	0.0118577i
$159$	−2.03316	+	0.596990i	−0.161240	+	0.0473444i
$160$	−0.168032	−	1.99760i	−0.0132841	−	0.157924i
$161$	−2.06115	−	12.7837i	−0.162441	−	1.00750i
$162$	−5.77944	+	4.34905i	−0.454075	+	0.341694i
$163$	6.16764	+	21.0050i	0.483087	+	1.64524i	0.735427	+	0.677604i	$0.236982\pi$
$163$	6.16764	+	21.0050i	0.483087	+	1.64524i	−0.252340	+	0.967639i	$0.581200\pi$
$164$	7.91656	−	3.66339i	0.618179	−	0.286063i
$165$	−0.0507195	−	0.0789211i	−0.00394851	−	0.00614400i
$166$	−8.75001	+	8.79394i	−0.679132	+	0.682542i
$167$	−12.6286	−	8.11588i	−0.977227	−	0.628026i	−0.0485130	−	0.998823i	$-0.515448\pi$
$167$	−12.6286	−	8.11588i	−0.977227	−	0.628026i	−0.928714	+	0.370797i	$0.879085\pi$
$168$	−0.328774	+	5.13908i	−0.0253654	+	0.396488i
$169$	−5.00480	+	5.77585i	−0.384985	+	0.444296i
$170$	0.686265	−	0.376963i	0.0526341	−	0.0289117i
$171$	−16.4381	+	7.50701i	−1.25705	+	0.574076i
$172$	−14.1550	−	8.99700i	−1.07931	−	0.686015i
$173$	−4.58094	+	15.6013i	−0.348283	+	1.18614i	0.580109	+	0.814539i	$0.303010\pi$
$173$	−4.58094	+	15.6013i	−0.348283	+	1.18614i	−0.928392	+	0.371603i	$0.878808\pi$
$174$	6.08885	+	3.30500i	0.461594	+	0.250551i
$175$	−1.87301	+	13.0271i	−0.141586	+	0.984754i
$176$	−0.457492	−	1.50225i	−0.0344848	−	0.113236i
$177$	−0.390471	+	0.855012i	−0.0293496	+	0.0642667i
$178$	7.90711	−	0.585431i	0.592663	−	0.0438799i
$179$	24.0764	−	3.46166i	1.79955	−	0.258737i	0.840470	−	0.541858i	$-0.182279\pi$
$179$	24.0764	−	3.46166i	1.79955	−	0.258737i	0.959084	+	0.283121i	$0.0913697\pi$
$180$	−1.72835	+	0.516906i	−0.128824	+	0.0385279i
$181$	12.6222	−	10.9372i	0.938204	−	0.812958i	−0.0443348	−	0.999017i	$-0.514117\pi$
$181$	12.6222	−	10.9372i	0.938204	−	0.812958i	0.982539	+	0.186058i	$0.0595714\pi$
$182$	−7.08854	−	5.27877i	−0.525438	−	0.391289i
$183$	−5.96495			−0.440942
$184$	−13.1798	+	3.20812i	−0.971630	+	0.236506i
$185$	−0.303040			−0.0222799
$186$	−2.48658	−	1.85174i	−0.182325	−	0.135776i
$187$	0.463543	−	0.401663i	0.0338976	−	0.0293725i
$188$	4.64797	+	15.5412i	0.338988	+	1.13346i
$189$	9.99331	−	1.43682i	0.726906	−	0.104513i
$190$	−3.54845	+	0.262722i	−0.257431	+	0.0190599i
$191$	3.54689	−	7.76660i	0.256644	−	0.561971i	−0.736824	−	0.676084i	$-0.763675\pi$
$191$	3.54689	−	7.76660i	0.256644	−	0.561971i	0.993468	+	0.114113i	$0.0364027\pi$
$192$	5.39387	−	0.0810402i	0.389269	−	0.00584857i
$193$	0.986824	−	6.86351i	0.0710332	−	0.494047i	−0.922985	−	0.384835i	$-0.874258\pi$
$193$	0.986824	−	6.86351i	0.0710332	−	0.494047i	0.994019	−	0.109211i	$-0.0348326\pi$
$194$	−22.3372	−	12.1246i	−1.60372	−	0.870492i
$195$	−0.155827	+	0.530696i	−0.0111590	+	0.0380040i
$196$	−0.311245	+	0.489682i	−0.0222318	+	0.0349773i
$197$	7.64849	−	3.49295i	0.544932	−	0.248862i	−0.123875	−	0.992298i	$-0.539532\pi$
$197$	7.64849	−	3.49295i	0.544932	−	0.248862i	0.668808	+	0.743436i	$0.266805\pi$
$198$	−1.23861	+	0.680366i	−0.0880245	+	0.0483515i
$199$	−6.68138	+	7.71073i	−0.473631	+	0.546599i	−0.941418	−	0.337242i	$-0.890506\pi$
$199$	−6.68138	+	7.71073i	−0.473631	+	0.546599i	0.467787	+	0.883841i	$0.345051\pi$
$200$	13.7588	+	0.880223i	0.972894	+	0.0622411i
$201$	−3.32311	−	2.13564i	−0.234394	−	0.150636i
$202$	−12.9663	+	13.0313i	−0.912302	+	0.916883i
$203$	10.6049	+	16.5016i	0.744321	+	1.15819i
$204$	0.884860	+	1.91217i	0.0619526	+	0.133879i
$205$	−0.435455	−	1.48302i	−0.0304135	−	0.103579i
$206$	−6.25754	+	4.70883i	−0.435983	+	0.328080i
$207$	5.25956	+	11.0156i	0.365565	+	0.765640i
$208$	−4.92725	+	7.83846i	−0.341643	+	0.543499i
$209$	−2.67441	+	0.785278i	−0.184993	+	0.0543188i
$210$	0.892077	+	0.191721i	0.0615592	+	0.0132300i
$211$	−5.99474	−	9.32799i	−0.412695	−	0.642165i	0.571222	−	0.820796i	$-0.306470\pi$
$211$	−5.99474	−	9.32799i	−0.412695	−	0.642165i	−0.983916	+	0.178630i	$0.942833\pi$
$212$	−0.863274	+	6.22536i	−0.0592899	+	0.427559i
$213$	0.134116	−	0.208688i	0.00918947	−	0.0142991i
$214$	−11.3164	+	2.49143i	−0.773574	+	0.170310i
$215$	−1.94615	+	2.24598i	−0.132726	+	0.153174i
$216$	−2.32570	−	10.3173i	−0.158244	−	0.702006i
$217$	−3.64655	−	7.98483i	−0.247544	−	0.542046i
$218$	−7.60835	−	20.2438i	−0.515303	−	1.37109i
$219$	−1.26169	+	4.29692i	−0.0852571	+	0.290359i
$220$	−0.275217	+	0.0409780i	−0.0185551	+	0.00276273i
$221$	−3.57938	−	0.514637i	−0.240775	−	0.0346182i
$222$	0.0561383	−	0.813537i	0.00376775	−	0.0546011i
$223$	3.51318	−	7.69280i	0.235260	−	0.515148i	−0.754772	−	0.655987i	$-0.772253\pi$
$223$	3.51318	−	7.69280i	0.235260	−	0.515148i	0.990033	+	0.140839i	$0.0449800\pi$
$224$	13.4959	+	7.15147i	0.901735	+	0.477828i
$225$	−1.76568	−	12.2806i	−0.117712	−	0.818706i
$226$	−0.771613	+	2.08470i	−0.0513270	+	0.138672i
$227$	1.62704	−	1.40984i	0.107991	−	0.0935744i	−0.599192	−	0.800605i	$-0.704511\pi$
$227$	1.62704	−	1.40984i	0.107991	−	0.0935744i	0.707183	+	0.707031i	$0.249966\pi$
$228$	−0.0479489	−	9.57480i	−0.00317550	−	0.634106i
$229$			19.2025i			1.26894i	0.772949	+	0.634469i	$0.218781\pi$
$229$			19.2025i			1.26894i	−0.772949	+	0.634469i	$0.781219\pi$
$230$	0.218322	+	2.39356i	0.0143957	+	0.157827i
$231$	0.714773			0.0470286
$232$	16.3569	−	12.4374i	1.07388	−	0.816555i
$233$	17.5902	+	20.3002i	1.15237	+	1.32991i	0.935343	+	0.353742i	$0.115091\pi$
$233$	17.5902	+	20.3002i	1.15237	+	1.32991i	0.217028	+	0.976165i	$0.430364\pi$
$234$	7.81366	+	2.89208i	0.510795	+	0.189061i
$235$	2.84498	−	0.409047i	0.185586	−	0.0266833i
$236$	1.83621	+	2.09778i	0.119527	+	0.136554i
$237$	0.307665	+	0.140506i	0.0199850	+	0.00912683i
$238$	−0.410680	+	5.95144i	−0.0266204	+	0.385774i
$239$	1.56659	−	10.8959i	0.101334	−	0.704797i	−0.874299	−	0.485388i	$-0.838678\pi$
$239$	1.56659	−	10.8959i	0.101334	−	0.704797i	0.975633	−	0.219408i	$-0.0704127\pi$
$240$	0.126548	−	0.947426i	0.00816862	−	0.0611561i
$241$	−4.23079	−	1.24227i	−0.272529	−	0.0800219i	0.142612	−	0.989779i	$-0.454450\pi$
$241$	−4.23079	−	1.24227i	−0.272529	−	0.0800219i	−0.415142	+	0.909757i	$0.636268\pi$
$242$	14.3578	−	5.39618i	0.922956	−	0.346880i
$243$	−13.3411	+	6.09270i	−0.855835	+	0.390847i
$244$	−7.26883	+	16.1298i	−0.465339	+	1.03260i
$245$	0.0776981	+	0.0673258i	0.00496395	+	0.00430128i
$246$	4.06197	−	0.894286i	0.258982	−	0.0570176i
$247$	13.8246	+	8.88450i	0.879635	+	0.565307i
$248$	−8.03741	+	4.46746i	−0.510376	+	0.283684i
$249$	−4.97606	+	3.19792i	−0.315345	+	0.202660i
$250$	1.03981	−	4.83823i	0.0657635	−	0.305997i
$251$	−6.48519	−	22.0865i	−0.409342	−	1.39409i	−0.864031	−	0.503439i	$-0.832068\pi$
$251$	−6.48519	−	22.0865i	−0.409342	−	1.39409i	0.454689	−	0.890650i	$-0.349750\pi$
$252$	3.80625	−	13.2072i	0.239771	−	0.831977i
$253$	0.561182	+	1.79723i	0.0352812	+	0.112991i
$254$	−0.655378	+	0.493175i	−0.0411221	+	0.0309446i
$255$	0.358211	−	0.105180i	0.0224320	−	0.00658663i
$256$	6.35379	−	14.6843i	0.397112	−	0.917770i
$257$	11.3640	−	7.30320i	0.708867	−	0.455561i	−0.135881	−	0.990725i	$-0.543387\pi$
$257$	11.3640	−	7.30320i	0.708867	−	0.455561i	0.844748	+	0.535164i	$0.179750\pi$
$258$	−5.66900	−	5.64068i	−0.352936	−	0.351173i
$259$	1.24827	−	1.94235i	0.0775640	−	0.120692i
$260$	1.24517	+	1.06807i	0.0772219	+	0.0662391i
$261$	−13.9749	−	12.1094i	−0.865028	−	0.749551i
$262$	−8.89197	+	4.88433i	−0.549348	+	0.301755i
$263$	−1.57199	−	3.44217i	−0.0969329	−	0.212253i	0.854953	−	0.518705i	$-0.173586\pi$
$263$	−1.57199	−	3.44217i	−0.0969329	−	0.212253i	−0.951886	+	0.306451i	$0.900858\pi$
$264$	−0.0590249	−	0.746436i	−0.00363273	−	0.0459399i
$265$	1.06851	+	0.313742i	0.0656379	+	0.0192730i
$266$	12.9328	−	23.8262i	0.792958	−	1.46088i
$267$	3.74203	+	0.538022i	0.229008	+	0.0329264i
$268$	−9.82449	+	6.38356i	−0.600126	+	0.389938i
$269$	−19.3840	−	8.85238i	−1.18186	−	0.539739i	−0.275115	−	0.961411i	$-0.588716\pi$
$269$	−19.3840	−	8.85238i	−1.18186	−	0.539739i	−0.906748	+	0.421672i	$0.861443\pi$
$270$	−1.86887	+	0.138368i	−0.113736	+	0.00842083i
$271$	−3.03604	−	21.1161i	−0.184427	−	1.28271i	−0.846141	−	0.532959i	$-0.821080\pi$
$271$	−3.03604	−	21.1161i	−0.184427	−	1.28271i	0.661715	−	0.749756i	$-0.269829\pi$
$272$	6.24899	−	0.0625893i	0.378900	−	0.00379503i
$273$	−2.75966	−	3.18481i	−0.167022	−	0.192754i
$274$	14.1947	−	19.0612i	0.857531	−	1.15153i
$275$		−	1.91366i		−	0.115398i
$276$	−6.46618	+	0.142696i	−0.389219	+	0.00858930i
$277$		−	21.3140i		−	1.28063i	−0.768111	−	0.640317i	$-0.778803\pi$
$277$		−	21.3140i		−	1.28063i	0.768111	−	0.640317i	$-0.221197\pi$
$278$	−12.4423	−	9.26566i	−0.746239	−	0.555717i
$279$	5.41903	+	6.25390i	0.324429	+	0.374411i
$280$	1.60551	−	2.17863i	0.0959476	−	0.130198i
$281$	2.48822	+	17.3059i	0.148435	+	1.03239i	0.918783	+	0.394763i	$0.129173\pi$
$281$	2.48822	+	17.3059i	0.148435	+	1.03239i	−0.770348	+	0.637623i	$0.779918\pi$
$282$	0.571089	+	7.71339i	0.0340078	+	0.459326i
$283$	17.6614	+	8.06569i	1.04986	+	0.479455i	0.864195	−	0.503157i	$-0.167828\pi$
$283$	17.6614	+	8.06569i	1.04986	+	0.479455i	0.185666	+	0.982613i	$0.440556\pi$
$284$	−0.400882	−	0.616969i	−0.0237879	−	0.0366104i
$285$	−1.67930	−	0.241446i	−0.0994729	−	0.0143020i
$286$	1.12944	+	0.613054i	0.0667851	+	0.0362507i
$287$	11.2992	+	3.31776i	0.666973	+	0.195841i
$288$	−14.1066	−	2.88423i	−0.831239	−	0.169955i
$289$	−6.04809	−	13.2435i	−0.355770	−	0.779027i
$290$	−1.75291	−	3.19119i	−0.102934	−	0.187393i
$291$	−9.15851	−	7.93589i	−0.536881	−	0.465210i
$292$	10.0818	+	8.64793i	0.589993	+	0.506082i
$293$	−2.66522	+	4.14717i	−0.155704	+	0.242280i	−0.910338	−	0.413866i	$-0.864178\pi$
$293$	−2.66522	+	4.14717i	−0.155704	+	0.242280i	0.754634	+	0.656146i	$0.227815\pi$
$294$	−0.195136	+	0.196115i	−0.0113805	+	0.0114377i
$295$	0.415565	−	0.267068i	0.0241951	−	0.0155493i
$296$	−2.13148	−	1.14317i	−0.123890	−	0.0664456i
$297$	−1.40854	+	0.413584i	−0.0817316	+	0.0239986i
$298$	18.3586	+	24.3967i	1.06349	+	1.41326i
$299$	5.84124	−	9.43935i	0.337808	−	0.545891i
$300$	6.31665	+	1.82043i	0.364692	+	0.105102i
$301$	−6.37919	−	21.7255i	−0.367691	−	1.25224i
$302$	24.5867	+	5.28407i	1.41481	+	0.304064i
$303$	−7.37380	+	4.73885i	−0.423614	+	0.272240i
$304$	−25.9496	−	11.5381i	−1.48831	−	0.661756i
$305$	2.63717	+	1.69481i	0.151004	+	0.0970445i
$306$	−1.20917	−	5.49222i	−0.0691237	−	0.313969i
$307$	−8.28971	−	7.18308i	−0.473119	−	0.409960i	0.385394	−	0.922752i	$-0.374066\pi$
$307$	−8.28971	−	7.18308i	−0.473119	−	0.409960i	−0.858513	+	0.512792i	$0.828611\pi$
$308$	0.871016	−	1.93282i	0.0496308	−	0.110132i
$309$	−3.39662	+	1.55118i	−0.193227	+	0.0882437i
$310$	0.573219	+	1.52518i	0.0325566	+	0.0866246i
$311$	−12.3958	−	3.63973i	−0.702900	−	0.206390i	−0.0892971	−	0.996005i	$-0.528462\pi$
$311$	−12.3958	−	3.63973i	−0.702900	−	0.206390i	−0.613603	+	0.789615i	$0.710280\pi$
$312$	−3.09800	+	3.14490i	−0.175390	+	0.178045i
$313$	−0.538267	+	3.74373i	−0.0304247	+	0.211608i	−0.999363	−	0.0356954i	$-0.988635\pi$
$313$	−0.538267	+	3.74373i	−0.0304247	+	0.211608i	0.968938	+	0.247304i	$0.0795445\pi$
$314$	31.8889	+	2.20050i	1.79959	+	0.124181i
$315$	−2.21533	−	1.01171i	−0.124820	−	0.0570032i
$316$	0.754859	−	0.660736i	0.0424641	−	0.0371693i
$317$	14.0288	−	2.01704i	0.787937	−	0.113288i	0.263412	−	0.964683i	$-0.415152\pi$
$317$	14.0288	−	2.01704i	0.787937	−	0.113288i	0.524525	+	0.851395i	$0.324243\pi$
$318$	−1.04021	+	2.81038i	−0.0583321	+	0.157598i
$319$	−1.86777	−	2.15552i	−0.104575	−	0.120686i
$320$	−2.40772	−	1.49672i	−0.134596	−	0.0836694i
$321$	−5.52500			−0.308375
$322$	−16.2410	−	8.46017i	−0.905077	−	0.471467i
$323$		−	11.0922i		−	0.617185i
$324$	0.0512244	+	10.2289i	0.00284580	+	0.568270i
$325$	−8.52668	+	7.38841i	−0.472975	+	0.409835i
$326$	29.0347	+	10.7466i	1.60808	+	0.595202i
$327$	−1.46750	−	10.2067i	−0.0811530	−	0.564432i
$328$	2.53165	−	12.0737i	0.139787	−	0.666661i
$329$	−9.09718	+	19.9201i	−0.501544	+	1.09823i
$330$	−0.132358	−	0.00913337i	−0.00728606	−	0.000502776i
$331$	−8.04598	−	1.15684i	−0.442247	−	0.0635855i	−0.0824052	−	0.996599i	$-0.526260\pi$
$331$	−8.04598	−	1.15684i	−0.442247	−	0.0635855i	−0.359842	+	0.933013i	$0.617169\pi$
$332$	2.58370	+	17.3527i	0.141799	+	0.952354i
$333$	−0.613213	+	2.08841i	−0.0336038	+	0.114444i
$334$	−19.8724	+	7.46877i	−1.08737	+	0.408673i
$335$	0.862394	+	1.88838i	0.0471176	+	0.103173i
$336$	5.55132	+	4.71373i	0.302849	+	0.257155i
$337$	9.17049	−	10.5833i	0.499548	−	0.576509i	−0.448844	−	0.893610i	$-0.648164\pi$
$337$	9.17049	−	10.5833i	0.499548	−	0.576509i	0.948392	+	0.317101i	$0.102709\pi$
$338$	2.32388	+	10.5554i	0.126403	+	0.574139i
$339$	−0.573030	+	0.891652i	−0.0311227	+	0.0484279i
$340$	0.152095	−	1.09681i	0.00824851	−	0.0594828i
$341$	0.690053	+	1.07374i	0.0373685	+	0.0581465i
$342$	−5.36986	+	24.9859i	−0.290369	+	1.35108i
$343$	17.3830	−	5.10410i	0.938593	−	0.275596i
$344$	−22.1611	+	8.45584i	−1.19485	+	0.455908i
$345$	−0.143724	+	1.13696i	−0.00773781	+	0.0612121i
$346$	13.8264	+	18.3739i	0.743313	+	0.987785i
$347$	2.68318	+	9.13809i	0.144041	+	0.490558i	0.999633	−	0.0270925i	$-0.00862487\pi$
$347$	2.68318	+	9.13809i	0.144041	+	0.490558i	−0.855592	+	0.517651i	$0.826807\pi$
$348$	8.89177	−	4.11467i	0.476649	−	0.220570i
$349$	−7.40667	−	11.5250i	−0.396470	−	0.616919i	0.584427	−	0.811446i	$-0.301319\pi$
$349$	−7.40667	−	11.5250i	−0.396470	−	0.616919i	−0.980897	+	0.194527i	$0.937683\pi$
$350$	13.1939	+	13.1280i	0.705246	+	0.701723i
$351$	7.28101	+	4.67922i	0.388631	+	0.249758i
$352$	−2.09036	−	0.749991i	−0.111417	−	0.0399747i
$353$	−12.7290	+	14.6900i	−0.677494	+	0.781869i	−0.985529	−	0.169505i	$-0.945783\pi$
$353$	−12.7290	+	14.6900i	−0.677494	+	0.781869i	0.308036	+	0.951375i	$0.400328\pi$
$354$	0.639983	+	1.16510i	0.0340147	+	0.0619242i
$355$	−0.118589	+	0.0541576i	−0.00629403	+	0.00287439i
$356$	6.01487	−	9.46318i	0.318787	−	0.501547i
$357$	−0.801374	+	2.72923i	−0.0424132	+	0.144446i
$358$	16.4102	−	30.2327i	0.867305	−	1.59785i
$359$	3.70063	−	25.7384i	0.195312	−	1.35842i	−0.622357	−	0.782734i	$-0.713825\pi$
$359$	3.70063	−	25.7384i	0.195312	−	1.35842i	0.817668	−	0.575689i	$-0.195266\pi$
$360$	−0.873584	+	2.39701i	−0.0460419	+	0.126333i
$361$	−13.0469	+	28.5687i	−0.686679	+	1.50362i
$362$	−1.74399	−	23.5552i	−0.0916622	−	1.23803i
$363$	7.23904	−	1.04082i	0.379951	−	0.0546287i
$364$	−11.9749	+	3.58140i	−0.627658	+	0.187716i
$365$	1.77868	−	1.54124i	0.0931006	−	0.0806721i
$366$	−5.03841	+	6.76577i	−0.263362	+	0.353652i
$367$	−6.20439			−0.323866			−0.161933	−	0.986802i	$-0.551773\pi$
$367$	−6.20439			−0.323866			−0.161933	+	0.986802i	$0.551773\pi$
$368$	−7.49377	+	17.6591i	−0.390640	+	0.920544i
$369$	−11.1015			−0.577919
$370$	−0.255968	+	0.343724i	−0.0133072	+	0.0178694i
$371$	−6.41232	+	5.55631i	−0.332911	+	0.288469i
$372$	−4.20068	+	1.25632i	−0.217795	+	0.0651369i
$373$	−10.5284	+	1.51375i	−0.545139	+	0.0783791i	−0.409382	−	0.912363i	$-0.634256\pi$
$373$	−10.5284	+	1.51375i	−0.545139	+	0.0783791i	−0.135757	+	0.990742i	$0.543347\pi$
$374$	−0.0640469	−	0.865048i	−0.00331179	−	0.0447306i
$375$	0.980209	−	2.14636i	0.0506178	−	0.110838i
$376$	21.5537	+	7.85520i	1.11155	+	0.405101i
$377$	−2.39310	+	16.6444i	−0.123251	+	0.857231i
$378$	6.81132	−	12.5486i	0.350336	−	0.645430i
$379$	−9.61705	+	32.7527i	−0.493995	+	1.68239i	0.214539	+	0.976715i	$0.431175\pi$
$379$	−9.61705	+	32.7527i	−0.493995	+	1.68239i	−0.708534	+	0.705677i	$0.750643\pi$
$380$	−2.69927	+	4.24676i	−0.138470	+	0.217854i
$381$	−0.355742	+	0.162462i	−0.0182252	+	0.00832317i
$382$	−5.81335	−	10.5833i	−0.297437	−	0.541488i
$383$	−24.7094	+	28.5161i	−1.26259	+	1.45711i	−0.430378	+	0.902649i	$0.641620\pi$
$383$	−24.7094	+	28.5161i	−1.26259	+	1.45711i	−0.832212	+	0.554458i	$0.812926\pi$
$384$	4.46412	−	6.18648i	0.227809	−	0.315702i
$385$	−0.316010	−	0.203087i	−0.0161053	−	0.0103503i
$386$	−6.95143	−	6.91671i	−0.353819	−	0.352051i
$387$	11.5401	+	17.9568i	0.586617	+	0.912795i
$388$	−32.6199	+	15.0949i	−1.65603	+	0.766327i
$389$	−6.50731	−	22.1619i	−0.329934	−	1.12365i	−0.942771	−	0.333442i	$-0.891790\pi$
$389$	−6.50731	−	22.1619i	−0.329934	−	1.12365i	0.612837	−	0.790210i	$-0.290028\pi$
$390$	0.470323	+	0.625010i	0.0238157	+	0.0316486i
$391$	−7.49156	+	0.127794i	−0.378864	+	0.00646280i
$392$	0.292524	+	0.766651i	0.0147747	+	0.0387217i
$393$	−4.64135	+	1.36282i	−0.234125	+	0.0687454i
$394$	2.49855	−	11.6257i	0.125875	−	0.585695i
$395$	−0.0961006	−	0.149535i	−0.00483535	−	0.00752395i
$396$	−0.274511	+	1.97959i	−0.0137947	+	0.0994781i
$397$	−10.3641	+	16.1269i	−0.520159	+	0.809384i	−0.997597	−	0.0692819i	$-0.977929\pi$
$397$	−10.3641	+	16.1269i	−0.520159	+	0.809384i	0.477438	+	0.878666i	$0.341566\pi$
$398$	3.10237	+	14.0914i	0.155508	+	0.706338i
$399$	8.46488	−	9.76900i	0.423774	−	0.489062i
$400$	12.6200	−	14.8625i	0.631002	−	0.743125i
$401$	−6.62785	−	14.5130i	−0.330979	−	0.724743i	0.668847	−	0.743400i	$-0.266788\pi$
$401$	−6.62785	−	14.5130i	−0.330979	−	0.724743i	−0.999826	+	0.0186570i	$0.994061\pi$
$402$	−5.22929	+	1.96535i	−0.260813	+	0.0980229i
$403$	2.12006	−	7.22027i	0.105608	−	0.359668i
$404$	3.82867	+	25.7142i	0.190484	+	1.27933i
$405$	1.79401	+	0.257940i	0.0891451	+	0.0128171i
$406$	27.6747	+	1.90970i	1.37347	+	0.0947767i
$407$	−0.139462	+	0.305380i	−0.00691290	+	0.0151371i
$408$	2.91630	+	0.611497i	0.144379	+	0.0302736i
$409$	2.44132	+	16.9798i	0.120716	+	0.839595i	0.956749	+	0.290916i	$0.0939601\pi$
$409$	2.44132	+	16.9798i	0.120716	+	0.839595i	−0.836033	+	0.548679i	$0.815131\pi$
$410$	−2.04994	−	0.758747i	−0.101239	−	0.0374718i
$411$	8.56400	−	7.42074i	0.422431	−	0.366038i
$412$	0.0554620	+	11.0750i	0.00273241	+	0.545628i
$413$			3.76369i			0.185199i
$414$	16.9371	+	3.33890i	0.832415	+	0.164098i
$415$	3.10859			0.152595
$416$	4.72892	+	12.2097i	0.231854	+	0.598628i
$417$	−4.84394	−	5.59020i	−0.237209	−	0.273753i
$418$	−1.36829	+	3.69676i	−0.0669251	+	0.180815i
$419$	35.0823	−	5.04407i	1.71388	−	0.246419i	0.785716	−	0.618588i	$-0.212295\pi$
$419$	35.0823	−	5.04407i	1.71388	−	0.246419i	0.928165	+	0.372169i	$0.121386\pi$
$420$	0.970971	−	0.849901i	0.0473785	−	0.0414709i
$421$	−13.7435	−	6.27644i	−0.669817	−	0.305895i	0.0513257	−	0.998682i	$-0.483655\pi$
$421$	−13.7435	−	6.27644i	−0.669817	−	0.305895i	−0.721142	+	0.692787i	$0.756383\pi$
$422$	−15.6439	−	1.07951i	−0.761533	−	0.0525497i
$423$	2.93797	−	20.4341i	0.142849	−	0.993538i
$424$	6.33196	+	6.23754i	0.307507	+	0.302922i
$425$	7.30694	+	2.14551i	0.354439	+	0.104073i
$426$	−0.123422	−	0.328394i	−0.00597983	−	0.0159108i
$427$	−21.7260	+	9.92193i	−1.05139	+	0.480156i
$428$	−6.73271	+	14.9401i	−0.325438	+	0.722158i
$429$	0.463082	+	0.401263i	0.0223578	+	0.0193732i
$430$	0.903656	+	4.10453i	0.0435782	+	0.197938i
$431$	−2.82446	−	1.81517i	−0.136049	−	0.0874335i	0.470846	−	0.882216i	$-0.343949\pi$
$431$	−2.82446	−	1.81517i	−0.136049	−	0.0874335i	−0.606895	+	0.794782i	$0.707585\pi$
$432$	−13.6669	−	6.07680i	−0.657551	−	0.292370i
$433$	−1.49848	+	0.963017i	−0.0720125	+	0.0462796i	−0.576152	−	0.817343i	$-0.695446\pi$
$433$	−1.49848	+	0.963017i	−0.0720125	+	0.0462796i	0.504139	+	0.863622i	$0.331810\pi$
$434$	−12.1370	−	2.60842i	−0.582593	−	0.125208i
$435$	−0.489097	−	1.66571i	−0.0234504	−	0.0798647i
$436$	−29.3882	−	8.46953i	−1.40744	−	0.405617i
$437$	31.2091	+	13.6143i	1.49294	+	0.651260i
$438$	3.80809	+	5.06055i	0.181958	+	0.241803i
$439$	33.3577	−	9.79470i	1.59208	−	0.467476i	0.638749	−	0.769415i	$-0.279452\pi$
$439$	33.3577	−	9.79470i	1.59208	−	0.467476i	0.953327	+	0.301940i	$0.0976342\pi$
$440$	−0.185988	+	0.346779i	−0.00886662	+	0.0165320i
$441$	0.621203	−	0.399223i	0.0295811	−	0.0190106i
$442$	−3.60712	+	3.62523i	−0.171573	+	0.172434i
$443$	0.756597	−	1.17729i	0.0359470	−	0.0559347i	−0.822815	−	0.568309i	$-0.807598\pi$
$443$	0.756597	−	1.17729i	0.0359470	−	0.0559347i	0.858762	+	0.512375i	$0.171234\pi$
$444$	−0.875340	−	0.750845i	−0.0415418	−	0.0356335i
$445$	−1.50153	−	1.30108i	−0.0711792	−	0.0616772i
$446$	−5.75811	−	10.4827i	−0.272655	−	0.496371i
$447$	6.04771	+	13.2426i	0.286047	+	0.626355i
$448$	19.5112	−	9.26719i	0.921817	−	0.437834i
$449$	22.2955	+	6.54654i	1.05219	+	0.308950i	0.761701	−	0.647929i	$-0.224364\pi$
$449$	22.2955	+	6.54654i	1.05219	+	0.308950i	0.290487	+	0.956879i	$0.406183\pi$
$450$	−15.4207	−	8.37031i	−0.726941	−	0.394580i
$451$	−1.69488	−	0.243687i	−0.0798087	−	0.0114748i
$452$	1.71283	+	2.63609i	0.0805646	+	0.123991i
$453$	10.9073	+	4.98119i	0.512468	+	0.234036i
$454$	−0.224805	−	3.03633i	−0.0105506	−	0.142502i
$455$	0.315182	+	2.19214i	0.0147760	+	0.102769i
$456$	−10.9008	−	8.03315i	−0.510475	−	0.376187i
$457$	−24.4529	−	28.2202i	−1.14386	−	1.32008i	−0.940036	−	0.341077i	$-0.889208\pi$
$457$	−24.4529	−	28.2202i	−1.14386	−	1.32008i	−0.203824	−	0.979008i	$-0.565337\pi$
$458$	21.7805	+	16.2198i	1.01774	+	0.757900i
$459$		−	5.84193i		−	0.272678i
$460$	2.89932	+	1.77414i	0.135182	+	0.0827196i
$461$		−	25.3929i		−	1.18266i	−0.806429	−	0.591332i	$-0.798602\pi$
$461$		−	25.3929i		−	1.18266i	0.806429	−	0.591332i	$-0.201398\pi$
$462$	0.603747	−	0.810734i	0.0280888	−	0.0377188i
$463$	−22.4712	−	25.9332i	−1.04433	−	1.20522i	−0.978256	−	0.207402i	$-0.933499\pi$
$463$	−22.4712	−	25.9332i	−1.04433	−	1.20522i	−0.0660709	−	0.997815i	$-0.521046\pi$
$464$	−0.291046	−	29.0583i	−0.0135115	−	1.34900i
$465$	0.110563	+	0.768980i	0.00512722	+	0.0356606i
$466$	37.8834	−	2.80484i	1.75492	−	0.129931i
$467$	16.4355	+	7.50584i	0.760544	+	0.347329i	0.757645	−	0.652667i	$-0.226350\pi$
$467$	16.4355	+	7.50584i	0.760544	+	0.347329i	0.00289906	+	0.999996i	$0.499077\pi$
$468$	9.88031	−	6.41983i	0.456717	−	0.296757i
$469$	−15.6561	−	2.25100i	−0.722930	−	0.103942i
$470$	1.93911	−	3.57245i	0.0894444	−	0.164785i
$471$	14.6237	+	4.29391i	0.673825	+	0.197853i
$472$	3.93041	−	0.310800i	0.180912	−	0.0143057i
$473$	1.36768	+	2.99480i	0.0628861	+	0.137701i
$474$	0.419244	−	0.230289i	0.0192565	−	0.0105775i
$475$	−26.1545	−	22.6630i	−1.20005	−	1.03985i
$476$	6.40356	+	5.49281i	0.293507	+	0.251763i
$477$	4.32433	−	6.72879i	0.197998	−	0.308090i
$478$	−11.0355	−	10.9803i	−0.504750	−	0.502229i
$479$	16.5863	−	10.6594i	0.757846	−	0.487038i	−0.103768	−	0.994602i	$-0.533090\pi$
$479$	16.5863	−	10.6594i	0.757846	−	0.487038i	0.861615	+	0.507563i	$0.169454\pi$
$480$	−0.967731	−	0.943799i	−0.0441707	−	0.0430783i
$481$	1.89913	−	0.557635i	0.0865930	−	0.0254260i
$482$	−4.98268	+	3.74949i	−0.226955	+	0.170785i
$483$	−6.69542	−	5.60456i	−0.304652	−	0.255016i
$484$	6.00697	−	20.8434i	0.273044	−	0.947428i
$485$	1.79428	+	6.11074i	0.0814739	+	0.277475i
$486$	−4.35818	+	20.2786i	−0.197691	+	0.919855i
$487$	−5.80585	+	3.73120i	−0.263088	+	0.169077i	−0.665535	−	0.746367i	$-0.731796\pi$
$487$	−5.80585	+	3.73120i	−0.263088	+	0.169077i	0.402446	+	0.915444i	$0.368160\pi$
$488$	12.1555	+	21.8691i	0.550256	+	0.989966i
$489$	12.4185	+	7.98088i	0.561583	+	0.360908i
$490$	0.141994	−	0.0312614i	0.00641462	−	0.00141225i
$491$	20.0763	+	17.3962i	0.906032	+	0.785081i	0.977186	−	0.212384i	$-0.0681228\pi$
$491$	20.0763	+	17.3962i	0.906032	+	0.785081i	−0.0711543	+	0.997465i	$0.522668\pi$
$492$	2.41668	−	5.36269i	0.108952	−	0.241769i
$493$	10.3245	−	4.71505i	0.464993	−	0.212355i
$494$	21.7545	−	8.17610i	0.978780	−	0.367860i
$495$	0.339772	+	0.0997662i	0.0152716	+	0.00448416i
$496$	−1.72172	+	12.8900i	−0.0773074	+	0.578778i
$497$	0.141361	−	0.983186i	0.00634090	−	0.0441019i
$498$	−0.575869	+	8.34530i	−0.0258053	+	0.373962i
$499$	21.4999	+	9.81869i	0.962469	+	0.439545i	0.833754	−	0.552137i	$-0.186187\pi$
$499$	21.4999	+	9.81869i	0.962469	+	0.439545i	0.128715	+	0.991682i	$0.458915\pi$
$500$	−4.60949	−	5.26612i	−0.206143	−	0.235508i
$501$	−10.0194	+	1.44058i	−0.447636	+	0.0643603i
$502$	−30.5296	−	11.3000i	−1.36260	−	0.504342i
$503$	3.67181	+	4.23750i	0.163718	+	0.188941i	0.831681	−	0.555254i	$-0.187379\pi$
$503$	3.67181	+	4.23750i	0.163718	+	0.188941i	−0.667963	+	0.744195i	$0.732833\pi$
$504$	−11.7653	−	15.4730i	−0.524069	−	0.689222i
$505$	4.60649			0.204986
$506$	2.51253	+	0.881539i	0.111695	+	0.0391892i
$507$			5.15345i			0.228873i
$508$	0.00580876	+	1.15993i	0.000257722	+	0.0514638i
$509$	−23.1453	+	20.0555i	−1.02590	+	0.888944i	−0.993871	−	0.110543i	$-0.964741\pi$
$509$	−23.1453	+	20.0555i	−1.02590	+	0.888944i	−0.0320248	+	0.999487i	$0.510196\pi$
$510$	0.183268	−	0.495144i	0.00811526	−	0.0219254i
$511$	2.55195	+	17.7492i	0.112892	+	0.785180i
$512$	−11.2889	−	19.6102i	−0.498904	−	0.866657i
$513$	−11.0284	+	24.1488i	−0.486916	+	1.06620i
$514$	1.31513	−	19.0585i	0.0580080	−	0.840633i
$515$	1.94242	+	0.279278i	0.0855933	+	0.0123065i
$516$	−11.1864	+	1.66558i	−0.492454	+	0.0733231i
$517$	0.897090	−	3.05521i	0.0394540	−	0.134368i
$518$	−1.14874	−	3.05651i	−0.0504729	−	0.134295i
$519$	4.55470	+	9.97341i	0.199929	+	0.437784i
$520$	2.26322	−	0.510168i	0.0992488	−	0.0223723i
$521$	23.3857	−	26.9886i	1.02455	−	1.18239i	0.0414816	−	0.999139i	$-0.486792\pi$
$521$	23.3857	−	26.9886i	1.02455	−	1.18239i	0.983066	−	0.183252i	$-0.0586623\pi$
$522$	−25.5393	+	5.62275i	−1.11783	+	0.246101i
$523$	−6.74981	+	10.5029i	−0.295149	+	0.459260i	−0.956881	−	0.290480i	$-0.906185\pi$
$523$	−6.74981	+	10.5029i	−0.295149	+	0.459260i	0.661733	+	0.749740i	$0.269821\pi$
$524$	−1.97070	+	14.2114i	−0.0860906	+	0.620828i
$525$	4.79798	+	7.46580i	0.209401	+	0.325834i
$526$	−5.23211	−	1.12446i	−0.228131	−	0.0490289i
$527$	−4.87356	+	1.43101i	−0.212295	+	0.0623356i
$528$	−0.896505	−	0.563542i	−0.0390154	−	0.0245250i
$529$	8.83542	−	21.2352i	0.384149	−	0.923271i
$530$	1.25840	−	0.946951i	0.0546613	−	0.0411329i
$531$	−0.999594	−	3.40431i	−0.0433787	−	0.147734i
$532$	−16.1011	−	34.7943i	−0.698071	−	1.50852i
$533$	5.45794	+	8.49271i	0.236409	+	0.367860i
$534$	3.77103	−	3.78996i	0.163188	−	0.164008i
$535$	2.44267	+	1.56981i	0.105606	+	0.0678687i
$536$	−1.05786	+	16.5355i	−0.0456926	+	0.714223i
$537$	10.7410	−	12.3957i	0.463507	−	0.534916i
$538$	−26.4139	+	14.5091i	−1.13878	+	0.625530i
$539$	0.103603	−	0.0473140i	0.00446251	−	0.00203796i
$540$	−1.42163	+	2.23665i	−0.0611772	+	0.0962500i
$541$	−8.30706	+	28.2913i	−0.357149	+	1.21634i	0.563557	+	0.826077i	$0.309433\pi$
$541$	−8.30706	+	28.2913i	−0.357149	+	1.21634i	−0.920705	+	0.390259i	$0.872385\pi$
$542$	−26.5155	−	14.3925i	−1.13894	−	0.618211i
$543$	1.60276	−	11.1474i	0.0687810	−	0.478383i
$544$	5.20733	−	7.14081i	0.223263	−	0.306160i
$545$	−2.25121	+	4.92946i	−0.0964313	+	0.211155i
$546$	−5.94339	+	0.440040i	−0.254353	+	0.0188320i
$547$	−7.35563	+	1.05758i	−0.314504	+	0.0452189i	−0.297759	−	0.954641i	$-0.596239\pi$
$547$	−7.35563	+	1.05758i	−0.314504	+	0.0452189i	−0.0167447	+	0.999860i	$0.505330\pi$
$548$	−9.63041	−	32.2007i	−0.411391	−	1.37555i
$549$	17.0163	−	14.7447i	0.726237	−	0.629288i
$550$	−2.17057	−	1.61641i	−0.0925535	−	0.0689238i
$551$	−51.5795			−2.19736
$552$	−5.29993	+	7.45483i	−0.225580	+	0.317299i
$553$	1.35431			0.0575913
$554$	−24.1755	−	18.0033i	−1.02712	−	0.764886i
$555$	−0.154432	+	0.133816i	−0.00655527	+	0.00568018i
$556$	−21.0192	+	6.28631i	−0.891414	+	0.266599i
$557$	17.9929	−	2.58698i	0.762382	−	0.109614i	0.249853	−	0.968284i	$-0.419618\pi$
$557$	17.9929	−	2.58698i	0.762382	−	0.109614i	0.512529	+	0.858670i	$0.328709\pi$
$558$	11.6708	−	0.864089i	0.494064	−	0.0365798i
$559$	8.06349	−	17.6566i	0.341049	−	0.746794i
$560$	−1.11500	−	3.66128i	−0.0471174	−	0.154717i
$561$	0.0588603	−	0.409382i	0.00248508	−	0.0172841i
$562$	21.7311	+	11.7955i	0.916670	+	0.497564i
$563$	1.33333	−	4.54092i	0.0561933	−	0.191377i	−0.926613	−	0.376017i	$-0.877294\pi$
$563$	1.33333	−	4.54092i	0.0561933	−	0.191377i	0.982806	+	0.184640i	$0.0591118\pi$
$564$	9.23133	+	5.86751i	0.388709	+	0.247067i
$565$	0.506687	−	0.231396i	0.0213165	−	0.00973491i
$566$	24.0666	−	13.2197i	1.01159	−	0.555665i
$567$	−9.04313	+	10.4363i	−0.379776	+	0.438285i
$568$	−1.03841	−	0.0664326i	−0.0435708	−	0.00278745i
$569$	−18.0309	−	11.5877i	−0.755893	−	0.485783i	0.105061	−	0.994466i	$-0.466496\pi$
$569$	−18.0309	−	11.5877i	−0.755893	−	0.485783i	−0.860954	+	0.508683i	$0.830133\pi$
$570$	−1.69231	+	1.70081i	−0.0708831	+	0.0712390i
$571$	0.548575	+	0.853600i	0.0229572	+	0.0357220i	0.852542	−	0.522658i	$-0.175059\pi$
$571$	0.548575	+	0.853600i	0.0229572	+	0.0357220i	−0.829585	+	0.558380i	$0.811423\pi$
$572$	1.64936	−	0.763244i	0.0689633	−	0.0319128i
$573$	−1.62204	−	5.52417i	−0.0677617	−	0.230775i
$574$	13.3073	−	10.0138i	0.555436	−	0.417969i
$575$	−15.0050	+	17.9256i	−0.625754	+	0.747549i
$576$	−15.1868	+	13.5642i	−0.632785	+	0.565177i
$577$	−31.2226	+	9.16778i	−1.29981	+	0.381660i	−0.857168	−	0.515037i	$-0.827778\pi$
$577$	−31.2226	+	9.16778i	−1.29981	+	0.381660i	−0.442646	+	0.896697i	$0.645960\pi$
$578$	−20.1301	−	4.32627i	−0.837301	−	0.179949i
$579$	−2.52789	−	3.93348i	−0.105056	−	0.163470i
$580$	−5.10025	−	0.707255i	−0.211776	−	0.0293672i
$581$	−12.8049	+	19.9247i	−0.531235	+	0.826618i
$582$	−16.7372	+	3.68488i	−0.693781	+	0.152743i
$583$	0.807905	−	0.932372i	0.0334600	−	0.0386149i
$584$	18.3247	−	4.13071i	0.758283	−	0.170930i
$585$	−0.867294	−	1.89911i	−0.0358582	−	0.0785185i
$586$	2.45271	+	6.52603i	0.101321	+	0.269588i
$587$	11.9316	−	40.6354i	0.492471	−	1.67720i	−0.219999	−	0.975500i	$-0.570606\pi$
$587$	11.9316	−	40.6354i	0.492471	−	1.67720i	0.712470	−	0.701702i	$-0.247576\pi$
$588$	0.0576196	+	0.386986i	0.00237619	+	0.0159590i
$589$	22.8473	+	3.28494i	0.941406	+	0.135354i
$590$	0.0480925	−	0.696940i	0.00197994	−	0.0286926i
$591$	2.35533	−	5.15745i	0.0968854	−	0.212149i
$592$	−3.09704	+	1.45203i	−0.127288	+	0.0596782i
$593$	−2.55966	−	17.8028i	−0.105113	−	0.731075i	−0.972409	−	0.233283i	$-0.925053\pi$
$593$	−2.55966	−	17.8028i	−0.105113	−	0.731075i	0.867296	−	0.497792i	$-0.165856\pi$
$594$	−0.720638	+	1.94698i	−0.0295681	+	0.0798856i
$595$	1.12975	−	0.978933i	0.0463152	−	0.0401323i
$596$	43.1791	−	0.216233i	1.76868	−	0.00885726i
$597$			6.87982i			0.281572i
$598$	−5.77271	−	14.5986i	−0.236063	−	0.596980i
$599$	27.5988			1.12766			0.563828	−	0.825892i	$-0.309328\pi$
$599$	27.5988			1.12766			0.563828	+	0.825892i	$0.309328\pi$
$600$	7.40031	−	5.62704i	0.302116	−	0.229723i
$601$	19.3634	+	22.3465i	0.789848	+	0.911533i	0.997779	−	0.0666102i	$-0.0212184\pi$
$601$	19.3634	+	22.3465i	0.789848	+	0.911533i	−0.207931	+	0.978143i	$0.566673\pi$
$602$	−30.0306	−	11.1153i	−1.22396	−	0.453024i
$603$	14.7589	−	2.12202i	0.601031	−	0.0864151i
$604$	26.7611	−	23.4243i	1.08889	−	0.953122i
$605$	−3.49619	−	1.59666i	−0.142141	−	0.0649134i
$606$	−0.853355	+	12.3665i	−0.0346652	+	0.502356i
$607$	−4.00318	+	27.8427i	−0.162484	+	1.13010i	0.731447	+	0.681898i	$0.238845\pi$
$607$	−4.00318	+	27.8427i	−0.162484	+	1.13010i	−0.893931	+	0.448204i	$0.852064\pi$
$608$	−35.0060	+	19.6876i	−1.41968	+	0.798437i
$609$	12.6912	+	3.72646i	0.514272	+	0.151004i
$610$	4.14989	−	1.55967i	0.168024	−	0.0631494i
$611$	−17.0766	+	7.79864i	−0.690847	+	0.315499i
$612$	−7.25093	−	3.26760i	−0.293101	−	0.132085i
$613$	−2.75772	−	2.38957i	−0.111383	−	0.0965140i	0.597389	−	0.801952i	$-0.296205\pi$
$613$	−2.75772	−	2.38957i	−0.111383	−	0.0965140i	−0.708772	+	0.705438i	$0.750750\pi$
$614$	−15.1495	+	3.33532i	−0.611384	+	0.134603i
$615$	−0.876784	−	0.563475i	−0.0353553	−	0.0227215i
$616$	−1.45659	−	2.62054i	−0.0586875	−	0.105585i
$617$	21.4920	−	13.8121i	0.865236	−	0.556053i	−0.0310563	−	0.999518i	$-0.509887\pi$
$617$	21.4920	−	13.8121i	0.865236	−	0.556053i	0.896292	+	0.443464i	$0.146251\pi$
$618$	−1.10958	+	5.16287i	−0.0446339	+	0.207681i
$619$	8.67993	+	29.5611i	0.348876	+	1.18816i	0.927893	+	0.372847i	$0.121618\pi$
$619$	8.67993	+	29.5611i	0.348876	+	1.18816i	−0.579017	+	0.815316i	$0.696563\pi$
$620$	2.21413	+	0.638100i	0.0889215	+	0.0256267i
$621$	16.4370	+	7.17027i	0.659593	+	0.287733i
$622$	−14.5987	+	10.9856i	−0.585355	+	0.440482i
$623$	14.5244	−	4.26476i	0.581909	−	0.170864i
$624$	0.950329	+	6.17033i	0.0380436	+	0.247011i
$625$	19.4599	−	12.5061i	0.778396	−	0.500245i
$626$	3.79169	+	3.77275i	0.151546	+	0.150789i
$627$	−1.01614	+	1.58115i	−0.0405808	+	0.0631450i
$628$	29.4315	−	34.3114i	1.17444	−	1.36917i
$629$	−1.00968	−	0.874892i	−0.0402585	−	0.0348842i
$630$	−3.01875	+	1.65819i	−0.120270	+	0.0660639i
$631$	10.5019	+	22.9958i	0.418072	+	0.915450i	0.995114	+	0.0987354i	$0.0314797\pi$
$631$	10.5019	+	22.9958i	0.418072	+	0.915450i	−0.577042	+	0.816715i	$0.695793\pi$
$632$	−0.111837	−	1.41431i	−0.00444865	−	0.0562581i
$633$	−7.17403	−	2.10648i	−0.285142	−	0.0837252i
$634$	9.56188	−	17.6160i	0.379751	−	0.699621i
$635$	0.203438	+	0.0292499i	0.00807318	+	0.00116075i
$636$	2.30906	+	3.55371i	0.0915601	+	0.140914i
$637$	−0.610818	−	0.278951i	−0.0242015	−	0.0110524i
$638$	−4.02255	+	0.297824i	−0.159254	+	0.0117910i
$639$	0.133261	+	0.926848i	0.00527171	+	0.0366655i
$640$	−3.73139	+	1.46674i	−0.147496	+	0.0579778i
$641$	−4.40783	−	5.08691i	−0.174099	−	0.200921i	0.661993	−	0.749510i	$-0.269711\pi$
$641$	−4.40783	−	5.08691i	−0.174099	−	0.200921i	−0.836092	+	0.548589i	$0.815165\pi$
$642$	−4.66679	+	6.26675i	−0.184184	+	0.247329i
$643$		−	5.40099i		−	0.212994i	−0.994313	−	0.106497i	$-0.966036\pi$
$643$		−	5.40099i		−	0.212994i	0.994313	−	0.106497i	$-0.0339635\pi$
$644$	−23.3143	+	11.2754i	−0.918711	+	0.444313i
$645$			2.00395i			0.0789055i
$646$	−12.5813	−	9.36921i	−0.495006	−	0.368627i
$647$	1.53086	+	1.76671i	0.0601843	+	0.0694564i	0.785043	−	0.619441i	$-0.212641\pi$
$647$	1.53086	+	1.76671i	0.0601843	+	0.0694564i	−0.724859	+	0.688897i	$0.758095\pi$
$648$	11.6454	+	8.58191i	0.457475	+	0.337129i
$649$	−0.0778822	−	0.541682i	−0.00305714	−	0.0212629i
$650$	1.17812	+	15.9122i	0.0462095	+	0.624127i
$651$	−5.38425	−	2.45891i	−0.211026	−	0.0963721i
$652$	36.7141	−	23.8554i	1.43784	−	0.934249i
$653$	12.1511	+	1.74706i	0.475509	+	0.0683678i	0.375903	−	0.926659i	$-0.377333\pi$
$653$	12.1511	+	1.74706i	0.475509	+	0.0683678i	0.0996060	+	0.995027i	$0.468242\pi$
$654$	−12.8166	−	6.95676i	−0.501167	−	0.272031i
$655$	2.43922	+	0.716218i	0.0953080	+	0.0279850i
$656$	−11.5563	−	13.0699i	−0.451198	−	0.510292i
$657$	−7.02227	−	15.3766i	−0.273965	−	0.599900i
$658$	14.9103	+	27.1444i	0.581264	+	1.05820i
$659$	−31.7485	−	27.5102i	−1.23675	−	1.07165i	−0.994851	−	0.101344i	$-0.967686\pi$
$659$	−31.7485	−	27.5102i	−1.23675	−	1.07165i	−0.241894	−	0.970303i	$-0.577769\pi$
$660$	−0.122158	+	0.142413i	−0.00475500	+	0.00554341i
$661$	−1.83034	+	2.84806i	−0.0711918	+	0.110777i	−0.875024	−	0.484079i	$-0.839155\pi$
$661$	−1.83034	+	2.84806i	−0.0711918	+	0.110777i	0.803832	+	0.594856i	$0.202791\pi$
$662$	−8.10834	+	8.14904i	−0.315139	+	0.316722i
$663$	−2.05134	+	1.31831i	−0.0796674	+	0.0511991i
$664$	21.8648	+	11.7267i	0.848518	+	0.455085i
$665$	−6.51808	+	1.91388i	−0.252760	+	0.0742171i
$666$	1.85083	+	2.45956i	0.0717181	+	0.0953058i
$667$	0.594251	+	34.8364i	0.0230095	+	1.34887i
$668$	−8.31414	+	28.8490i	−0.321684	+	1.11620i
$669$	−1.60663	−	5.47167i	−0.0621158	−	0.211547i
$670$	2.87034	+	0.616882i	0.110891	+	0.0238322i
$671$	2.92156	−	1.87757i	0.112786	−	0.0724829i
$672$	10.0356	−	2.31506i	0.387132	−	0.0893055i
$673$	23.5618	+	15.1423i	0.908242	+	0.583692i	0.909224	−	0.416308i	$-0.136676\pi$
$673$	23.5618	+	15.1423i	0.908242	+	0.583692i	−0.000981883		1.00000i	$0.500313\pi$
$674$	−4.25814	−	19.3411i	−0.164017	−	0.744990i
$675$	−13.7748	−	11.9359i	−0.530193	−	0.459415i
$676$	13.9354	+	6.27995i	0.535978	+	0.241537i
$677$	41.7531	−	19.0680i	1.60470	−	0.732843i	0.606636	−	0.794980i	$-0.292519\pi$
$677$	41.7531	−	19.0680i	1.60470	−	0.732843i	0.998068	+	0.0621366i	$0.0197914\pi$
$678$	0.527340	+	1.40311i	0.0202524	+	0.0538863i
$679$	−46.5582	−	13.6707i	−1.78674	−	0.524634i
$680$	−1.11559	−	1.09895i	−0.0427809	−	0.0421430i
$681$	0.206600	−	1.43694i	0.00791694	−	0.0550635i
$682$	1.80077	+	0.124262i	0.0689549	+	0.00475824i
$683$	−12.1824	−	5.56354i	−0.466148	−	0.212883i	0.168473	−	0.985706i	$-0.446117\pi$
$683$	−12.1824	−	5.56354i	−0.466148	−	0.212883i	−0.634621	+	0.772823i	$0.718844\pi$
$684$	23.8046	+	27.1956i	0.910192	+	1.03985i
$685$	−5.89469	+	0.847528i	−0.225224	+	0.0323824i
$686$	8.89351	−	24.0280i	0.339556	−	0.917393i
$687$	8.47943	+	9.78578i	0.323510	+	0.373351i
$688$	−9.12776	+	32.2788i	−0.347993	+	1.23062i
$689$	−7.27360			−0.277102
$690$	1.16821	+	1.12338i	0.0444729	+	0.0427663i
$691$			1.94744i			0.0740840i	0.999314	+	0.0370420i	$0.0117935\pi$
$691$			1.94744i			0.0740840i	−0.999314	+	0.0370420i	$0.988206\pi$
$692$	32.5194	−	0.162852i	1.23620	−	0.00619069i
$693$	−2.03904	+	1.76684i	−0.0774568	+	0.0671167i
$694$	12.6313	+	4.67525i	0.479478	+	0.177470i
$695$	0.553229	+	3.84779i	0.0209852	+	0.145955i
$696$	2.84352	−	13.5611i	0.107783	−	0.514031i
$697$	2.83070	−	6.19837i	0.107220	−	0.234780i
$698$	−19.3285	−	1.33376i	−0.731594	−	0.0504837i
$699$	17.9283	+	2.57769i	0.678109	+	0.0974974i
$700$	26.0350	−	3.87645i	0.984032	−	0.146516i
$701$	−4.20695	+	14.3275i	−0.158894	+	0.541144i	0.841106	+	0.540871i	$0.181905\pi$
$701$	−4.20695	+	14.3275i	−0.158894	+	0.541144i	−1.00000		0.000273186i	$0.999913\pi$
$702$	11.4575	−	4.30612i	0.432434	−	0.162524i
$703$	2.52210	+	5.52262i	0.0951226	+	0.208289i
$704$	−2.61635	+	1.73751i	−0.0986072	+	0.0654848i
$705$	1.26921	−	1.46474i	0.0478010	−	0.0551653i
$706$	5.91044	+	26.8461i	0.222442	+	1.01036i
$707$	−18.9749	+	29.5256i	−0.713626	+	1.11042i
$708$	1.86209	+	0.258217i	0.0699816	+	0.00970440i
$709$	6.71063	+	10.4419i	0.252023	+	0.392155i	0.944095	−	0.329673i	$-0.106938\pi$
$709$	6.71063	+	10.4419i	0.252023	+	0.392155i	−0.692072	+	0.721828i	$0.743302\pi$
$710$	−0.0387396	+	0.180255i	−0.00145387	+	0.00676485i
$711$	−1.22499	+	0.359690i	−0.0459408	+	0.0134894i
$712$	−5.65308	−	14.8156i	−0.211858	−	0.555240i
$713$	1.95540	−	15.4687i	0.0732303	−	0.579308i
$714$	2.41875	+	3.21426i	0.0905193	+	0.120291i
$715$	−0.0907241	−	0.308978i	−0.00339289	−	0.0115551i
$716$	−20.4304	−	44.1500i	−0.763522	−	1.64996i
$717$	−4.01305	−	6.24443i	−0.149870	−	0.233202i
$718$	−26.0681	−	25.9379i	−0.972855	−	0.967995i
$719$	−22.0752	−	14.1869i	−0.823265	−	0.529081i	0.0598659	−	0.998206i	$-0.480933\pi$
$719$	−22.0752	−	14.1869i	−0.823265	−	0.529081i	−0.883131	+	0.469126i	$0.844569\pi$
$720$	1.98093	+	3.01555i	0.0738248	+	0.112383i
$721$	−9.79123	+	11.2997i	−0.364644	+	0.420822i
$722$	21.3839	+	38.9297i	0.795827	+	1.44881i
$723$	−2.70462	+	1.23516i	−0.100586	+	0.0459360i
$724$	−28.1907	−	17.9182i	−1.04770	−	0.665925i
$725$	9.97682	−	33.9779i	0.370530	−	1.26191i
$726$	4.93405	−	9.09007i	0.183120	−	0.337364i
$727$	−5.94805	+	41.3696i	−0.220601	+	1.53431i	0.515173	+	0.857086i	$0.327728\pi$
$727$	−5.94805	+	41.3696i	−0.220601	+	1.53431i	−0.735774	+	0.677227i	$0.763181\pi$
$728$	−6.05265	+	16.6077i	−0.224326	+	0.615524i
$729$	2.26555	−	4.96086i	0.0839091	−	0.183735i
$730$	−0.245758	−	3.31932i	−0.00909590	−	0.122854i
$731$	−12.9685	+	1.86459i	−0.479657	+	0.0689643i
$732$	3.41832	+	11.4297i	0.126345	+	0.422453i
$733$	0.659497	−	0.571458i	0.0243591	−	0.0211073i	−0.642596	−	0.766205i	$-0.722143\pi$
$733$	0.659497	−	0.571458i	0.0243591	−	0.0211073i	0.666955	+	0.745098i	$0.267597\pi$
$734$	−5.24066	+	7.03736i	−0.193436	+	0.259754i
$735$	0.0693254			0.00255710
$736$	13.7001	+	23.4159i	0.504994	+	0.863123i
$737$	2.29985			0.0847161
$738$	−9.37707	+	12.5919i	−0.345175	+	0.463514i
$739$	7.54176	−	6.53498i	0.277428	−	0.240393i	−0.505021	−	0.863107i	$-0.668515\pi$
$739$	7.54176	−	6.53498i	0.277428	−	0.240393i	0.782450	+	0.622714i	$0.213970\pi$
$740$	0.173662	+	0.580667i	0.00638395	+	0.0213457i
$741$	10.9683	−	1.57701i	0.402932	−	0.0579329i
$742$	0.885979	+	11.9665i	0.0325253	+	0.439302i
$743$	12.2581	−	26.8416i	0.449708	−	0.984722i	−0.540006	−	0.841661i	$-0.681578\pi$
$743$	12.2581	−	26.8416i	0.449708	−	0.984722i	0.989714	−	0.143061i	$-0.0456946\pi$
$744$	−2.12321	+	5.82582i	−0.0778405	+	0.213585i
$745$	1.08884	−	7.57305i	0.0398920	−	0.277455i
$746$	−7.17602	+	13.2205i	−0.262733	+	0.484036i
$747$	6.29036	−	21.4230i	0.230152	−	0.783827i
$748$	−1.03528	−	0.658034i	−0.0378537	−	0.0240601i
$749$	−20.1236	+	9.19012i	−0.735299	+	0.335800i
$750$	−1.60657	−	2.92477i	−0.0586635	−	0.106798i
$751$	−12.3175	+	14.2151i	−0.449471	+	0.518717i	−0.934588	−	0.355732i	$-0.884232\pi$
$751$	−12.3175	+	14.2151i	−0.449471	+	0.518717i	0.485117	+	0.874449i	$0.338777\pi$
$752$	27.1155	−	17.8123i	0.988802	−	0.649549i
$753$	−13.0579	−	8.39179i	−0.475855	−	0.305814i
$754$	16.8576	+	16.7734i	0.613918	+	0.610852i
$755$	−3.40694	−	5.30131i	−0.123991	−	0.192934i
$756$	−8.47999	−	18.3252i	−0.308414	−	0.666481i
$757$	9.81586	+	33.4297i	0.356763	+	1.21502i	0.921050	+	0.389445i	$0.127333\pi$
$757$	9.81586	+	33.4297i	0.356763	+	1.21502i	−0.564286	+	0.825579i	$0.690849\pi$
$758$	29.0267	+	38.5734i	1.05430	+	1.40105i
$759$	1.07960	+	0.668078i	0.0391871	+	0.0242497i
$760$	2.53691	+	6.64877i	0.0920235	+	0.241176i
$761$	22.4878	−	6.60301i	0.815182	−	0.239359i	0.152542	−	0.988297i	$-0.451254\pi$
$761$	22.4878	−	6.60301i	0.815182	−	0.239359i	0.662640	+	0.748938i	$0.269436\pi$
$762$	−0.116211	+	0.540728i	−0.00420988	+	0.0195885i
$763$	−22.3226	−	34.7346i	−0.808132	−	1.25748i
$764$	−16.9145	−	2.34554i	−0.611945	−	0.0848588i
$765$	−0.761878	+	1.18551i	−0.0275458	+	0.0428620i
$766$	11.4733	+	52.1134i	0.414548	+	1.88293i
$767$	−2.11288	+	2.43839i	−0.0762917	+	0.0880453i
$768$	−3.24634	−	10.2890i	−0.117142	−	0.371272i
$769$	3.88627	+	8.50974i	0.140142	+	0.306869i	0.966669	−	0.256028i	$-0.0824140\pi$
$769$	3.88627	+	8.50974i	0.140142	+	0.306869i	−0.826527	+	0.562897i	$0.809687\pi$
$770$	−0.497276	+	0.186894i	−0.0179206	+	0.00673520i
$771$	2.56626	−	8.73989i	0.0924218	−	0.314760i
$772$	−13.7170	+	2.04237i	−0.493685	+	0.0735063i
$773$	−30.4873	−	4.38341i	−1.09655	−	0.157660i	−0.429788	−	0.902930i	$-0.641412\pi$
$773$	−30.4873	−	4.38341i	−1.09655	−	0.157660i	−0.666763	+	0.745270i	$0.732321\pi$
$774$	30.1152	+	2.07810i	1.08247	+	0.0746958i
$775$	−6.58321	+	14.4152i	−0.236476	+	0.517810i
$776$	−10.4316	+	49.7495i	−0.374472	+	1.78590i
$777$	−0.221570	−	1.54105i	−0.00794879	−	0.0552850i
$778$	−30.6337	−	11.3385i	−1.09827	−	0.406505i
$779$	−23.4026	+	20.2784i	−0.838484	+	0.726551i
$780$	1.10619	−	0.00553960i	0.0396079	−	0.000198350i
$781$			0.144428i			0.00516806i
$782$	−6.18294	+	8.60528i	−0.221101	+	0.307724i
$783$	−27.1655			−0.970816
$784$	1.11666	+	0.315769i	0.0398808	+	0.0112775i
$785$	−5.24530	−	6.05340i	−0.187213	−	0.216055i
$786$	−2.37462	+	6.41561i	−0.0846998	+	0.228837i
$787$	−28.0388	+	4.03137i	−0.999476	+	0.143703i	−0.622583	−	0.782554i	$-0.713917\pi$
$787$	−28.0388	+	4.03137i	−0.999476	+	0.143703i	−0.376893	+	0.926257i	$0.623008\pi$
$788$	−11.0761	−	12.6539i	−0.394569	−	0.450776i
$789$	−2.32109	−	1.06001i	−0.0826331	−	0.0377373i
$790$	−0.250785	−	0.0173054i	−0.00892251	−	0.000615700i
$791$	−0.603985	+	4.20081i	−0.0214752	+	0.149364i
$792$	2.01349	+	1.98346i	0.0715461	+	0.0704793i
$793$	−19.6457	−	5.76850i	−0.697639	−	0.204845i
$794$	9.53773	+	25.3774i	0.338481	+	0.900610i
$795$	0.683064	−	0.311945i	0.0242258	−	0.0110635i
$796$	18.6037	+	8.38370i	0.659392	+	0.297152i
$797$	30.1806	+	26.1516i	1.06905	+	0.926338i	0.997469	−	0.0710964i	$-0.0226498\pi$
$797$	30.1806	+	26.1516i	1.06905	+	0.926338i	0.0715819	+	0.997435i	$0.477195\pi$
$798$	−3.93051	−	17.8529i	−0.139138	−	0.631986i
$799$	10.6600	+	6.85075i	0.377123	+	0.242362i
$800$	−6.19810	−	26.8682i	−0.219136	−	0.949935i
$801$	−12.0049	+	7.71505i	−0.424171	+	0.272598i
$802$	−22.0598	−	4.74099i	−0.778957	−	0.167410i
$803$	−0.734571	−	2.50172i	−0.0259224	−	0.0882837i
$804$	−2.18781	+	7.59142i	−0.0771580	+	0.267729i
$805$	1.36771	+	4.38020i	0.0482056	+	0.154382i
$806$	−6.39888	−	8.50344i	−0.225391	−	0.299521i
$807$	−13.7873	+	4.04832i	−0.485336	+	0.142508i
$808$	32.4004	+	17.3773i	1.13984	+	0.611332i
$809$	−27.1213	+	17.4298i	−0.953535	+	0.612800i	−0.922202	−	0.386709i	$-0.873612\pi$
$809$	−27.1213	+	17.4298i	−0.953535	+	0.612800i	−0.0313332	+	0.999509i	$0.509975\pi$
$810$	1.80792	−	1.81699i	0.0635237	−	0.0638426i
$811$	8.36316	−	13.0133i	0.293670	−	0.456960i	−0.662797	−	0.748799i	$-0.730631\pi$
$811$	8.36316	−	13.0133i	0.293670	−	0.456960i	0.956467	+	0.291839i	$0.0942672\pi$
$812$	25.5421	−	29.7771i	0.896350	−	1.04497i
$813$	−10.8717	−	9.42034i	−0.381286	−	0.330386i
$814$	0.228579	+	0.416131i	0.00801170	+	0.0145854i
$815$	−3.22277	−	7.05688i	−0.112889	−	0.247192i
$816$	3.15691	−	2.79132i	0.110514	−	0.0977157i
$817$	57.1279	+	16.7743i	1.99865	+	0.586858i
$818$	21.3215	+	11.5732i	0.745488	+	0.404648i
$819$	15.7450	+	2.26379i	0.550175	+	0.0791033i
$820$	−2.59213	+	1.68426i	−0.0905212	+	0.0588171i
$821$	−30.8475	−	14.0876i	−1.07659	−	0.491661i	−0.203425	−	0.979091i	$-0.565207\pi$
$821$	−30.8475	−	14.0876i	−1.07659	−	0.491661i	−0.873162	+	0.487430i	$0.837934\pi$
$822$	−1.18327	−	15.9818i	−0.0412713	−	0.557430i
$823$	0.695721	+	4.83885i	0.0242513	+	0.168672i	0.998348	−	0.0574615i	$-0.0183006\pi$
$823$	0.695721	+	4.83885i	0.0242513	+	0.168672i	−0.974096	+	0.226133i	$0.927392\pi$
$824$	12.6088	+	9.29184i	0.439247	+	0.323697i
$825$	−0.845031	−	0.975218i	−0.0294202	−	0.0339527i
$826$	4.26898	+	3.17907i	0.148537	+	0.110614i
$827$		−	32.1881i		−	1.11929i	−0.828733	−	0.559645i	$-0.810938\pi$
$827$		−	32.1881i		−	1.11929i	0.828733	−	0.559645i	$-0.189062\pi$
$828$	18.0934	−	16.3908i	0.628790	−	0.569618i
$829$			6.26073i			0.217444i	0.994072	+	0.108722i	$0.0346759\pi$
$829$			6.26073i			0.217444i	−0.994072	+	0.108722i	$0.965324\pi$
$830$	2.62573	−	3.52594i	0.0911406	−	0.122387i
$831$	−9.41182	−	10.8618i	−0.326493	−	0.376792i
$832$	17.8432	+	4.94933i	0.618603	+	0.171587i
$833$	0.0645043	+	0.448637i	0.00223494	+	0.0155444i
$834$	−10.4322	+	0.772388i	−0.361239	+	0.0267456i
$835$	4.83903	+	2.20991i	0.167461	+	0.0764770i
$836$	3.03732	+	4.67453i	0.105048	+	0.161672i
$837$	12.0330	+	1.73009i	0.415922	+	0.0598006i
$838$	23.9116	−	44.0528i	0.826014	−	1.52178i
$839$	−43.1825	−	12.6795i	−1.49083	−	0.437746i	−0.568021	−	0.823014i	$-0.692291\pi$
$839$	−43.1825	−	12.6795i	−1.49083	−	0.437746i	−0.922805	+	0.385269i	$0.874109\pi$
$840$	−0.143856	−	1.81921i	−0.00496349	−	0.0627688i
$841$	−9.87833	−	21.6305i	−0.340632	−	0.745881i
$842$	−18.7278	+	10.2871i	−0.645402	+	0.354517i
$843$	8.90997	+	7.72053i	0.306876	+	0.265909i
$844$	−14.4383	+	16.8323i	−0.496988	+	0.579393i
$845$	1.46424	−	2.27840i	0.0503714	−	0.0783794i
$846$	−20.6958	−	20.5924i	−0.711536	−	0.707982i
$847$	24.6353	−	15.8322i	0.846480	−	0.544000i
$848$	12.4234	−	1.91340i	0.426620	−	0.0657064i
$849$	12.5621	−	3.68855i	0.431129	−	0.126591i
$850$	8.60551	−	6.47569i	0.295167	−	0.222114i
$851$	3.70087	−	1.76703i	0.126864	−	0.0605730i
$852$	−0.476734	−	0.137392i	−0.0163326	−	0.00470698i
$853$	−13.6241	−	46.3993i	−0.466479	−	1.58868i	−0.771430	−	0.636314i	$-0.780458\pi$
$853$	−13.6241	−	46.3993i	−0.466479	−	1.58868i	0.304951	−	0.952368i	$-0.401360\pi$
$854$	−7.09728	+	33.0236i	−0.242864	+	1.13004i
$855$	5.38738	−	3.46226i	0.184244	−	0.118407i
$856$	11.2590	+	20.2561i	0.384825	+	0.692339i
$857$	−11.6575	−	7.49184i	−0.398214	−	0.255917i	0.326173	−	0.945310i	$-0.394241\pi$
$857$	−11.6575	−	7.49184i	−0.398214	−	0.255917i	−0.724387	+	0.689394i	$0.757877\pi$
$858$	0.846285	−	0.186319i	0.0288917	−	0.00636081i
$859$	−30.2084	−	26.1757i	−1.03070	−	0.893104i	−0.0363561	−	0.999339i	$-0.511575\pi$
$859$	−30.2084	−	26.1757i	−1.03070	−	0.893104i	−0.994341	+	0.106235i	$0.966121\pi$
$860$	5.41888	+	2.44200i	0.184782	+	0.0832714i
$861$	7.22326	−	3.29875i	0.246168	−	0.112421i
$862$	−4.44459	+	1.67044i	−0.151383	+	0.0568953i
$863$	37.6869	+	11.0659i	1.28288	+	0.376687i	0.850962	−	0.525227i	$-0.176020\pi$
$863$	37.6869	+	11.0659i	1.28288	+	0.376687i	0.431915	+	0.901914i	$0.357838\pi$
$864$	−18.4367	+	10.3689i	−0.627229	+	0.352757i
$865$	0.820037	−	5.70348i	0.0278821	−	0.193924i
$866$	−0.173416	+	2.51309i	−0.00589293	+	0.0853984i
$867$	−8.93020	−	4.07829i	−0.303286	−	0.138506i
$868$	−13.2103	+	11.5631i	−0.448388	+	0.392479i
$869$	−0.194917	+	0.0280248i	−0.00661211	+	0.000950678i
$870$	−2.30246	−	0.852214i	−0.0780609	−	0.0288928i
$871$	−8.87946	−	10.2474i	−0.300869	−	0.347221i
$872$	−34.4299	+	26.1798i	−1.16594	+	0.886559i
$873$	45.7432			1.54817
$874$	41.8035	−	23.8995i	1.41402	−	0.808414i
$875$		−	9.44809i		−	0.319404i
$876$	8.95654	−	0.0448528i	0.302613	−	0.00151544i
$877$	−4.64435	+	4.02435i	−0.156828	+	0.135893i	−0.729740	−	0.683724i	$-0.760359\pi$
$877$	−4.64435	+	4.02435i	−0.156828	+	0.135893i	0.572912	+	0.819617i	$0.305814\pi$
$878$	17.0665	−	46.1094i	0.575967	−	1.55612i
$879$	0.473080	+	3.29035i	0.0159566	+	0.110981i
$880$	0.236237	+	0.503871i	0.00796356	+	0.0169855i
$881$	−16.7541	+	36.6864i	−0.564461	+	1.23600i	0.385234	+	0.922819i	$0.374121\pi$
$881$	−16.7541	+	36.6864i	−0.564461	+	1.23600i	−0.949695	+	0.313177i	$0.898607\pi$
$882$	0.0718905	−	1.04181i	0.00242068	−	0.0350797i
$883$	23.2104	+	3.33715i	0.781091	+	0.112304i	0.521314	−	0.853365i	$-0.325442\pi$
$883$	23.2104	+	3.33715i	0.781091	+	0.112304i	0.259777	+	0.965669i	$0.416351\pi$
$884$	1.06511	+	7.15351i	0.0358235	+	0.240599i
$885$	0.0938446	−	0.319605i	0.00315455	−	0.0107434i
$886$	−0.696271	−	1.85259i	−0.0233917	−	0.0622391i
$887$	15.1045	+	33.0742i	0.507159	+	1.11052i	0.974076	+	0.226222i	$0.0726376\pi$
$887$	15.1045	+	33.0742i	0.507159	+	1.11052i	−0.466917	+	0.884301i	$0.654635\pi$
$888$	−1.59102	+	0.358643i	−0.0533912	+	0.0120353i
$889$	−1.02548	+	1.18346i	−0.0343933	+	0.0396920i
$890$	−2.74405	+	0.604132i	−0.0919808	+	0.0202505i
$891$	1.08556	−	1.68916i	0.0363675	−	0.0565890i
$892$	−16.7538	−	2.32326i	−0.560958	−	0.0777883i
$893$	−31.1323	−	48.4429i	−1.04180	−	1.62108i
$894$	20.1288	+	4.32600i	0.673209	+	0.144683i
$895$	−8.27069	+	2.42849i	−0.276459	+	0.0811756i
$896$	5.96914	−	29.9584i	0.199415	−	1.00084i
$897$	−1.19147	−	7.38976i	−0.0397819	−	0.246737i
$898$	26.2577	−	19.7591i	0.876232	−	0.659369i
$899$	6.65430	+	22.6625i	0.221933	+	0.755835i
$900$	−22.5195	+	10.4209i	−0.750650	+	0.347364i
$901$	2.65430	+	4.13018i	0.0884276	+	0.137596i
$902$	−1.70801	+	1.71659i	−0.0568706	+	0.0571562i
$903$	−12.8445	−	8.25463i	−0.427437	−	0.274697i
$904$	4.43677	+	0.283843i	0.147565	+	0.00944049i
$905$	−3.87590	+	4.47303i	−0.128839	+	0.148689i
$906$	14.8630	−	8.16417i	0.493789	−	0.271237i
$907$	2.64509	−	1.20797i	0.0878288	−	0.0401101i	−0.371016	−	0.928626i	$-0.620991\pi$
$907$	2.64509	−	1.20797i	0.0878288	−	0.0401101i	0.458845	+	0.888516i	$0.348263\pi$
$908$	−3.63386	−	2.30971i	−0.120594	−	0.0766503i
$909$	9.32141	−	31.7458i	0.309172	−	1.05294i
$910$	2.75267	+	1.49414i	0.0912502	+	0.0495302i
$911$	−0.458973	+	3.19222i	−0.0152064	+	0.105763i	−0.996011	−	0.0892300i	$-0.971559\pi$
$911$	−0.458973	+	3.19222i	−0.0152064	+	0.105763i	0.980805	+	0.194993i	$0.0624685\pi$
$912$	−18.3192	+	5.57888i	−0.606608	+	0.184735i
$913$	1.43061	−	3.13260i	0.0473464	−	0.103674i
$914$	−52.6635	+	3.89913i	−1.74195	+	0.128972i
$915$	2.09232	−	0.300831i	0.0691701	−	0.00994515i
$916$	36.7947	−	11.0043i	1.21573	−	0.363594i
$917$	−14.6382	+	12.6841i	−0.483396	+	0.418865i
$918$	−6.62624	−	4.93450i	−0.218699	−	0.162863i
$919$	28.3607			0.935532			0.467766	−	0.883852i	$-0.345059\pi$
$919$	28.3607			0.935532			0.467766	+	0.883852i	$0.345059\pi$
$920$	4.46129	−	1.79001i	0.147084	−	0.0590149i
$921$	−7.39642			−0.243720
$922$	−28.8020	−	21.4486i	−0.948542	−	0.706371i
$923$	0.643530	−	0.557622i	0.0211820	−	0.0183543i
$924$	−0.409613	−	1.36960i	−0.0134753	−	0.0450567i
$925$	−4.12585	+	0.593208i	−0.135657	+	0.0195046i
$926$	−48.3956	+	3.58314i	−1.59038	+	0.117749i
$927$	5.85522	−	12.8211i	0.192311	−	0.421102i
$928$	−33.2054	−	24.2146i	−1.09002	−	0.794882i
$929$	−5.55434	+	38.6313i	−0.182232	+	1.26745i	0.669238	+	0.743048i	$0.266621\pi$
$929$	−5.55434	+	38.6313i	−0.182232	+	1.26745i	−0.851470	+	0.524403i	$0.824288\pi$
$930$	0.965608	+	0.524127i	0.0316635	+	0.0171868i
$931$	0.580295	−	1.97630i	0.0190184	−	0.0647708i
$932$	28.8176	−	45.3386i	0.943951	−	1.48512i
$933$	−7.92423	+	3.61888i	−0.259428	+	0.118477i
$934$	22.3961	−	12.3021i	0.732822	−	0.402537i
$935$	−0.142340	+	0.164269i	−0.00465501	+	0.00537217i
$936$	1.06387	−	16.6294i	0.0347737	−	0.543550i
$937$	−36.4969	−	23.4551i	−1.19230	−	0.766245i	−0.214693	−	0.976682i	$-0.568875\pi$
$937$	−36.4969	−	23.4551i	−1.19230	−	0.766245i	−0.977607	+	0.210437i	$0.932511\pi$
$938$	−15.7774	+	15.8566i	−0.515150	+	0.517737i
$939$	1.37885	+	2.14553i	0.0449970	+	0.0700167i
$940$	−2.41416	−	5.21698i	−0.0787412	−	0.170159i
$941$	3.85387	+	13.1251i	0.125633	+	0.427866i	0.998156	−	0.0607075i	$-0.0193357\pi$
$941$	3.85387	+	13.1251i	0.125633	+	0.427866i	−0.872523	+	0.488573i	$0.837518\pi$
$942$	17.2226	−	12.9601i	0.561142	−	0.422262i
$943$	13.9655	+	15.5723i	0.454780	+	0.507103i
$944$	2.96737	−	4.72061i	0.0965798	−	0.153643i
$945$	−3.43289	+	1.00799i	−0.111672	+	0.0327898i
$946$	4.55211	+	0.978320i	0.148002	+	0.0318079i
$947$	7.19201	+	11.1910i	0.233709	+	0.363658i	0.938223	−	0.346032i	$-0.112471\pi$
$947$	7.19201	+	11.1910i	0.233709	+	0.363658i	−0.704514	+	0.709690i	$0.748835\pi$
$948$	0.0929160	−	0.670048i	0.00301777	−	0.0217621i
$949$	−8.31082	+	12.9319i	−0.269780	+	0.419787i
$950$	−47.7974	+	10.5231i	−1.55075	+	0.341415i
$951$	6.25854	−	7.22274i	0.202947	−	0.234214i
$952$	11.6391	−	2.62366i	0.377227	−	0.0850332i
$953$	−15.7328	−	34.4500i	−0.509635	−	1.11595i	−0.973216	−	0.229891i	$-0.926163\pi$
$953$	−15.7328	−	34.4500i	−0.509635	−	1.11595i	0.463581	−	0.886054i	$-0.346564\pi$
$954$	−3.97953	−	10.5885i	−0.128842	−	0.342815i
$955$	−0.852447	+	2.90317i	−0.0275845	+	0.0939443i
$956$	−21.7758	+	3.24227i	−0.704280	+	0.104863i
$957$	−1.90366	−	0.273705i	−0.0615367	−	0.00884764i
$958$	1.91950	−	27.8167i	0.0620161	−	0.898717i
$959$	18.8490	−	41.2735i	0.608665	−	1.33279i
$960$	−1.88792	+	0.300456i	−0.0609324	+	0.00969718i
$961$	2.90752	+	20.2223i	0.0937911	+	0.652332i
$962$	0.971638	−	2.62512i	0.0313269	−	0.0846372i
$963$	15.7612	−	13.6572i	0.507898	−	0.440096i
$964$	0.0441626	+	8.81870i	0.00142238	+	0.284031i
$965$			2.45728i			0.0791027i
$966$	−12.0124	+	2.86031i	−0.386493	+	0.0920291i
$967$	−4.81690			−0.154901			−0.0774506	−	0.996996i	$-0.524678\pi$
$967$	−4.81690			−0.154901			−0.0774506	+	0.996996i	$0.524678\pi$
$968$	−18.5678	−	24.4192i	−0.596793	−	0.784864i
$969$	−4.89807	−	5.65268i	−0.157349	−	0.181590i
$970$	8.44671	+	3.12639i	0.271208	+	0.100382i
$971$	−28.6973	+	4.12604i	−0.920939	+	0.132411i	−0.586447	−	0.809988i	$-0.699474\pi$
$971$	−28.6973	+	4.12604i	−0.920939	+	0.132411i	−0.334492	+	0.942399i	$0.608565\pi$
$972$	19.3198	+	22.0720i	0.619684	+	0.707959i
$973$	−26.9415	−	12.3038i	−0.863706	−	0.394441i
$974$	−0.671899	+	9.73694i	−0.0215290	+	0.311992i
$975$	−1.08271	+	7.53041i	−0.0346744	+	0.241166i
$976$	35.0725	+	4.68463i	1.12264	+	0.149952i
$977$	1.91130	+	0.561208i	0.0611478	+	0.0179546i	0.312163	−	0.950028i	$-0.398946\pi$
$977$	1.91130	+	0.561208i	0.0611478	+	0.0179546i	−0.251016	+	0.967983i	$0.580765\pi$
$978$	19.5419	−	7.34453i	0.624880	−	0.234852i
$979$	−2.00215	+	0.914352i	−0.0639890	+	0.0292228i
$980$	0.0844793	−	0.187463i	0.00269859	−	0.00598827i
$981$	29.4162	+	25.4893i	0.939187	+	0.813810i
$982$	36.6896	−	8.07761i	1.17081	−	0.257767i
$983$	49.3522	+	31.7167i	1.57409	+	1.01161i	0.977978	+	0.208707i	$0.0669254\pi$
$983$	49.3522	+	31.7167i	1.57409	+	1.01161i	0.596113	+	0.802901i	$0.296711\pi$
$984$	−4.04137	−	7.27083i	−0.128834	−	0.231785i
$985$	−2.50670	+	1.61096i	−0.0798701	+	0.0513294i
$986$	3.37273	−	15.6933i	0.107410	−	0.499776i
$987$	4.16027	+	14.1686i	0.132423	+	0.450991i
$988$	9.10154	−	31.5812i	0.289559	−	1.00473i
$989$	10.6710	−	38.7770i	0.339319	−	1.23304i
$990$	0.400156	−	0.301119i	0.0127178	−	0.00957019i
$991$	30.9542	−	9.08899i	0.983294	−	0.288721i	0.249711	−	0.968321i	$-0.419665\pi$
$991$	30.9542	−	9.08899i	0.983294	−	0.288721i	0.733583	+	0.679599i	$0.237846\pi$
$992$	13.1663	+	12.8407i	0.418029	+	0.407691i
$993$	−4.61114	+	2.96340i	−0.146330	+	0.0940407i
$994$	−0.995780	−	0.990806i	−0.0315842	−	0.0314265i
$995$	1.95475	−	3.04165i	0.0619698	−	0.0964269i
$996$	8.97928	+	7.70220i	0.284519	+	0.244054i
$997$	−18.1294	−	15.7092i	−0.574164	−	0.497516i	0.318692	−	0.947858i	$-0.396757\pi$
$997$	−18.1294	−	15.7092i	−0.574164	−	0.497516i	−0.892856	+	0.450342i	$0.851302\pi$
$998$	29.2972	−	16.0929i	0.927387	−	0.509410i
$999$	1.32832	+	2.90861i	0.0420261	+	0.0920243i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.p.a.101.18	✓	220
4.3	odd	2		736.2.x.a.561.8		220
8.3	odd	2		736.2.x.a.561.15		220
8.5	even	2	inner	184.2.p.a.101.21	yes	220
23.18	even	11	inner	184.2.p.a.133.21	yes	220
92.87	odd	22		736.2.x.a.593.15		220
184.133	even	22	inner	184.2.p.a.133.18	yes	220
184.179	odd	22		736.2.x.a.593.8		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.p.a.101.18	✓	220	1.1	even	1	trivial
184.2.p.a.101.21	yes	220	8.5	even	2	inner
184.2.p.a.133.18	yes	220	184.133	even	22	inner
184.2.p.a.133.21	yes	220	23.18	even	11	inner
736.2.x.a.561.8		220	4.3	odd	2
736.2.x.a.561.15		220	8.3	odd	2
736.2.x.a.593.8		220	184.179	odd	22
736.2.x.a.593.15		220	92.87	odd	22

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.p (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.844669 - 1.13425i) q^{2} +(0.509610 - 0.441579i) q^{3} +(-0.573068 - 1.91614i) q^{4} +(-0.350770 + 0.0504331i) q^{5} +(-0.0704119 - 0.951016i) q^{6} +(1.12163 - 2.45603i) q^{7} +(-2.65744 - 0.968500i) q^{8} +(-0.362235 + 2.51940i) q^{9} +(-0.239080 + 0.440462i) q^{10} +(-0.110606 + 0.376689i) q^{11} +(-1.13817 - 0.723429i) q^{12} +(2.10545 - 0.961527i) q^{13} +(-1.83835 - 3.34674i) q^{14} +(-0.156486 + 0.180594i) q^{15} +(-3.34319 + 2.19616i) q^{16} +(-1.31431 - 0.844657i) q^{17} +(2.55167 + 2.53892i) q^{18} +(3.83843 + 5.97272i) q^{19} +(0.297652 + 0.643223i) q^{20} +(-0.512937 - 1.74690i) q^{21} +(0.333836 + 0.443633i) q^{22} +(3.98970 - 2.66126i) q^{23} +(-1.78193 + 0.679916i) q^{24} +(-4.67697 + 1.37328i) q^{25} +(0.687792 - 3.20029i) q^{26} +(2.02160 + 3.14566i) q^{27} +(-5.34886 - 0.741730i) q^{28} +(-3.92773 + 6.11166i) q^{29} +(0.0726610 + 0.330037i) q^{30} +(2.12903 - 2.45703i) q^{31} +(-0.332885 + 5.64705i) q^{32} +(0.109972 + 0.240806i) q^{33} +(-2.06821 + 0.777308i) q^{34} +(-0.269569 + 0.918067i) q^{35} +(5.03510 - 0.749694i) q^{36} +(0.846430 + 0.121698i) q^{37} +(10.0168 + 0.691210i) q^{38} +(0.648367 - 1.41973i) q^{39} +(0.980996 + 0.205697i) q^{40} +(0.620713 + 4.31715i) q^{41} +(-2.41470 - 0.893754i) q^{42} +(6.33782 - 5.49175i) q^{43} +(0.785173 - 0.00393201i) q^{44} -0.901997i q^{45} +(0.351433 - 6.77322i) q^{46} -8.11069 q^{47} +(-0.733943 + 2.59547i) q^{48} +(-0.189983 - 0.219253i) q^{49} +(-2.39284 + 6.46484i) q^{50} +(-1.04277 + 0.149928i) q^{51} +(-3.04899 - 3.48332i) q^{52} +(-2.85849 - 1.30543i) q^{53} +(5.27556 + 0.364041i) q^{54} +(0.0197996 - 0.137709i) q^{55} +(-5.35933 + 5.44045i) q^{56} +(4.59353 + 1.34878i) q^{57} +(3.61455 + 9.61737i) q^{58} +(-1.26798 + 0.579067i) q^{59} +(0.435720 + 0.196356i) q^{60} +(-6.68536 - 5.79289i) q^{61} +(-0.988574 - 4.49024i) q^{62} +(5.78141 + 3.71549i) q^{63} +(6.12402 + 5.14747i) q^{64} +(-0.690035 + 0.443459i) q^{65} +(0.366025 + 0.0786646i) q^{66} +(-1.65042 - 5.62083i) q^{67} +(-0.865291 + 3.00245i) q^{68} +(0.858034 - 3.11797i) q^{69} +(0.813625 + 1.08122i) q^{70} +(0.352983 - 0.103645i) q^{71} +(3.40265 - 6.34433i) q^{72} +(-5.58705 + 3.59058i) q^{73} +(0.852990 - 0.857273i) q^{74} +(-1.77702 + 2.76509i) q^{75} +(9.24488 - 10.7777i) q^{76} +(0.801099 + 0.694156i) q^{77} +(-1.06268 - 1.93461i) q^{78} +(0.208370 + 0.456266i) q^{79} +(1.06193 - 0.938953i) q^{80} +(-4.90732 - 1.44092i) q^{81} +(5.42105 + 2.94252i) q^{82} +(-8.68271 - 1.24839i) q^{83} +(-3.05336 + 1.98395i) q^{84} +(0.503619 + 0.229995i) q^{85} +(-0.875684 - 11.8274i) q^{86} +(0.697176 + 4.84897i) q^{87} +(0.658752 - 0.893908i) q^{88} +(3.67146 + 4.23709i) q^{89} +(-1.02309 - 0.761889i) q^{90} -6.24951i q^{91} +(-7.38571 - 6.11974i) q^{92} -2.19226i q^{93} +(-6.85085 + 9.19959i) q^{94} +(-1.64763 - 1.90147i) q^{95} +(2.32398 + 3.02479i) q^{96} +(-2.55763 - 17.7887i) q^{97} +(-0.409162 + 0.0302937i) q^{98} +(-0.908964 - 0.415110i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) \) 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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