LMFDB - Embedded newform 162.2.g.a.97.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [162,2,Mod(7,162)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(162, base_ring=CyclotomicField(54))

chi = DirichletCharacter(H, H._module([16]))

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

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

chi := DirichletCharacter("162.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 162 = 2 \cdot 3^{4} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	162.g (of order $27$, degree $18$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.29357651274$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$4$ over $\Q(\zeta_{27})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label			97.1
Character	$\chi$	$=$	162.97
Dual form			162.2.g.a.157.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.973045 - 0.230616i) q^{2} +(-1.13931 - 1.30460i) q^{3} +(0.893633 + 0.448799i) q^{4} +(-1.92170 + 2.58128i) q^{5} +(0.807734 + 1.53218i) q^{6} +(2.72421 + 1.79174i) q^{7} +(-0.766044 - 0.642788i) q^{8} +(-0.403964 + 2.97268i) q^{9} +(2.46518 - 2.06853i) q^{10} +(4.37539 - 0.511409i) q^{11} +(-0.432617 - 1.67715i) q^{12} +(0.873963 - 2.91924i) q^{13} +(-2.23758 - 2.37169i) q^{14} +(5.55694 - 0.433829i) q^{15} +(0.597159 + 0.802123i) q^{16} +(0.670365 + 3.80183i) q^{17} +(1.07862 - 2.79939i) q^{18} +(-1.07344 + 6.08780i) q^{19} +(-2.87577 + 1.44426i) q^{20} +(-0.766203 - 5.59535i) q^{21} +(-4.37539 - 0.511409i) q^{22} +(-3.43819 + 2.26134i) q^{23} +(0.0341781 + 1.73171i) q^{24} +(-1.53610 - 5.13093i) q^{25} +(-1.52363 + 2.63900i) q^{26} +(4.33839 - 2.85978i) q^{27} +(1.63031 + 2.82378i) q^{28} +(1.48727 - 1.57642i) q^{29} +(-5.50720 - 0.859384i) q^{30} +(0.405975 + 6.97032i) q^{31} +(-0.396080 - 0.918216i) q^{32} +(-5.65209 - 5.12548i) q^{33} +(0.224467 - 3.85395i) q^{34} +(-9.86010 + 3.58878i) q^{35} +(-1.69513 + 2.47518i) q^{36} +(-3.18038 - 1.15757i) q^{37} +(2.44845 - 5.67615i) q^{38} +(-4.80415 + 2.18574i) q^{39} +(3.13132 - 0.742137i) q^{40} +(2.37371 - 0.562579i) q^{41} +(-0.544826 + 5.62123i) q^{42} +(3.68646 - 8.54617i) q^{43} +(4.13951 + 1.50666i) q^{44} +(-6.89703 - 6.75533i) q^{45} +(3.86702 - 1.40748i) q^{46} +(0.128889 - 2.21294i) q^{47} +(0.366104 - 1.69292i) q^{48} +(1.43843 + 3.33466i) q^{49} +(0.311420 + 5.34688i) q^{50} +(4.19612 - 5.20601i) q^{51} +(2.09116 - 2.21650i) q^{52} +(-6.74438 - 11.6816i) q^{53} +(-4.88096 + 1.78219i) q^{54} +(-7.08807 + 12.2769i) q^{55} +(-0.935158 - 3.12364i) q^{56} +(9.16513 - 5.53545i) q^{57} +(-1.81073 + 1.19094i) q^{58} +(9.21993 + 1.07766i) q^{59} +(5.16057 + 2.10627i) q^{60} +(-8.22920 + 4.13286i) q^{61} +(1.21243 - 6.87606i) q^{62} +(-6.42676 + 7.37441i) q^{63} +(0.173648 + 0.984808i) q^{64} +(5.85590 + 7.86584i) q^{65} +(4.31772 + 6.29078i) q^{66} +(-4.38886 - 4.65192i) q^{67} +(-1.10720 + 3.69830i) q^{68} +(6.86729 + 1.90912i) q^{69} +(10.4220 - 1.21815i) q^{70} +(2.09401 - 1.75708i) q^{71} +(2.22025 - 2.01754i) q^{72} +(7.71414 + 6.47293i) q^{73} +(2.82770 + 1.85981i) q^{74} +(-4.94373 + 7.84970i) q^{75} +(-3.69146 + 4.95850i) q^{76} +(12.8358 + 6.44638i) q^{77} +(5.17872 - 1.01890i) q^{78} +(-1.48194 - 0.351227i) q^{79} -3.21806 q^{80} +(-8.67363 - 2.40171i) q^{81} -2.43946 q^{82} +(14.5585 + 3.45043i) q^{83} +(1.82648 - 5.34406i) q^{84} +(-11.1018 - 5.57556i) q^{85} +(-5.55797 + 7.46565i) q^{86} +(-3.75105 - 0.144275i) q^{87} +(-3.68047 - 2.42068i) q^{88} +(-0.592954 - 0.497547i) q^{89} +(5.15324 + 8.16380i) q^{90} +(7.61139 - 6.38671i) q^{91} +(-4.08737 + 0.477745i) q^{92} +(8.63095 - 8.47096i) q^{93} +(-0.635753 + 2.12356i) q^{94} +(-13.6515 - 14.4698i) q^{95} +(-0.746649 + 1.56285i) q^{96} +(-10.5506 - 14.1719i) q^{97} +(-0.630633 - 3.57650i) q^{98} +(-0.247243 + 13.2132i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q + 9 q^{6} + 18 q^{13} - 9 q^{20} - 81 q^{23} + 18 q^{25} - 27 q^{26} - 27 q^{27} + 18 q^{28} - 27 q^{29} - 63 q^{30} - 54 q^{31} + 9 q^{33} - 27 q^{35} - 9 q^{36} + 9 q^{38} - 9 q^{41} + 9 q^{42} + 36 q^{43}+ \cdots + 99 q^{99}+O(q^{100}) $ 72 * q + 9 * q^6 + 18 * q^13 - 9 * q^20 - 81 * q^23 + 18 * q^25 - 27 * q^26 - 27 * q^27 + 18 * q^28 - 27 * q^29 - 63 * q^30 - 54 * q^31 + 9 * q^33 - 27 * q^35 - 9 * q^36 + 9 * q^38 - 9 * q^41 + 9 * q^42 + 36 * q^43 - 117 * q^45 - 18 * q^46 - 27 * q^47 + 9 * q^48 - 27 * q^51 - 36 * q^52 - 27 * q^53 + 54 * q^55 + 27 * q^57 + 9 * q^58 - 18 * q^59 + 9 * q^63 + 9 * q^65 + 36 * q^66 - 135 * q^67 - 18 * q^68 + 108 * q^69 + 18 * q^70 + 72 * q^71 + 54 * q^72 + 36 * q^73 + 99 * q^74 - 36 * q^75 - 9 * q^76 + 144 * q^77 + 90 * q^78 - 9 * q^79 + 18 * q^80 - 72 * q^82 + 99 * q^83 + 18 * q^84 + 9 * q^85 + 72 * q^86 + 207 * q^87 - 9 * q^88 + 126 * q^89 - 18 * q^90 + 63 * q^91 + 36 * q^92 + 81 * q^93 + 18 * q^94 + 45 * q^95 - 171 * q^97 + 36 * q^98 + 99 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/162\mathbb{Z}\right)^\times$.

$n$	$83$
$\chi(n)$	$e\left(\frac{2}{27}\right)$

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 $

$2$	−0.973045	−	0.230616i	−0.688047	−	0.163070i
$2$	−0.973045	−	0.230616i	−0.688047	−	0.163070i
$3$	−1.13931	−	1.30460i	−0.657779	−	0.753211i
$3$	−1.13931	−	1.30460i	−0.657779	−	0.753211i
$4$	0.893633	+	0.448799i	0.446816	+	0.224400i
$5$	−1.92170	+	2.58128i	−0.859408	+	1.15439i	0.127297	+	0.991865i	$0.459370\pi$
$5$	−1.92170	+	2.58128i	−0.859408	+	1.15439i	−0.986705	+	0.162521i	$0.948038\pi$
$6$	0.807734	+	1.53218i	0.329756	+	0.625508i
$7$	2.72421	+	1.79174i	1.02966	+	0.677215i	0.947615	−	0.319414i	$-0.103486\pi$
$7$	2.72421	+	1.79174i	1.02966	+	0.677215i	0.0820401	+	0.996629i	$0.473856\pi$
$8$	−0.766044	−	0.642788i	−0.270838	−	0.227260i
$9$	−0.403964	+	2.97268i	−0.134655	+	0.990893i
$10$	2.46518	−	2.06853i	0.779559	−	0.654127i
$11$	4.37539	−	0.511409i	1.31923	−	0.154196i	0.572819	−	0.819682i	$-0.305850\pi$
$11$	4.37539	−	0.511409i	1.31923	−	0.154196i	0.746410	+	0.665486i	$0.231776\pi$
$12$	−0.432617	−	1.67715i	−0.124886	−	0.484152i
$13$	0.873963	−	2.91924i	0.242394	−	0.809652i	−0.747054	−	0.664763i	$-0.768532\pi$
$13$	0.873963	−	2.91924i	0.242394	−	0.809652i	0.989448	−	0.144889i	$-0.0462824\pi$
$14$	−2.23758	−	2.37169i	−0.598017	−	0.633861i
$15$	5.55694	−	0.433829i	1.43480	−	0.112014i
$16$	0.597159	+	0.802123i	0.149290	+	0.200531i
$17$	0.670365	+	3.80183i	0.162587	+	0.922079i	0.951517	+	0.307596i	$0.0995245\pi$
$17$	0.670365	+	3.80183i	0.162587	+	0.922079i	−0.788930	+	0.614484i	$0.789364\pi$
$18$	1.07862	−	2.79939i	0.254234	−	0.659822i
$19$	−1.07344	+	6.08780i	−0.246265	+	1.39664i	0.571272	+	0.820761i	$0.306450\pi$
$19$	−1.07344	+	6.08780i	−0.246265	+	1.39664i	−0.817537	+	0.575876i	$0.804661\pi$
$20$	−2.87577	+	1.44426i	−0.643041	+	0.322947i
$21$	−0.766203	−	5.59535i	−0.167199	−	1.22101i
$22$	−4.37539	−	0.511409i	−0.932836	−	0.109033i
$23$	−3.43819	+	2.26134i	−0.716913	+	0.471521i	−0.854820	−	0.518924i	$-0.826333\pi$
$23$	−3.43819	+	2.26134i	−0.716913	+	0.471521i	0.137907	+	0.990445i	$0.455962\pi$
$24$	0.0341781	+	1.73171i	0.00697658	+	0.353485i
$25$	−1.53610	−	5.13093i	−0.307220	−	1.02619i
$26$	−1.52363	+	2.63900i	−0.298808	+	0.517551i
$27$	4.33839	−	2.85978i	0.834924	−	0.550365i
$28$	1.63031	+	2.82378i	0.308100	+	0.533645i
$29$	1.48727	−	1.57642i	0.276179	−	0.292733i	−0.574405	−	0.818571i	$-0.694767\pi$
$29$	1.48727	−	1.57642i	0.276179	−	0.292733i	0.850585	+	0.525838i	$0.176248\pi$
$30$	−5.50720	−	0.859384i	−1.00547	−	0.156901i
$31$	0.405975	+	6.97032i	0.0729153	+	1.25191i	0.814148	+	0.580658i	$0.197205\pi$
$31$	0.405975	+	6.97032i	0.0729153	+	1.25191i	−0.741232	+	0.671249i	$0.765758\pi$
$32$	−0.396080	−	0.918216i	−0.0700177	−	0.162319i
$33$	−5.65209	−	5.12548i	−0.983902	−	0.892231i
$34$	0.224467	−	3.85395i	0.0384958	−	0.660947i
$35$	−9.86010	+	3.58878i	−1.66666	+	0.606615i
$36$	−1.69513	+	2.47518i	−0.282522	+	0.412531i
$37$	−3.18038	−	1.15757i	−0.522852	−	0.190303i	0.0670919	−	0.997747i	$-0.478628\pi$
$37$	−3.18038	−	1.15757i	−0.522852	−	0.190303i	−0.589944	+	0.807444i	$0.700850\pi$
$38$	2.44845	−	5.67615i	0.397191	−	0.920793i
$39$	−4.80415	+	2.18574i	−0.769280	+	0.349998i
$40$	3.13132	−	0.742137i	0.495105	−	0.117342i
$41$	2.37371	−	0.562579i	0.370711	−	0.0878601i	−0.0410376	−	0.999158i	$-0.513066\pi$
$41$	2.37371	−	0.562579i	0.370711	−	0.0878601i	0.411749	+	0.911297i	$0.364918\pi$
$42$	−0.544826	+	5.62123i	−0.0840685	+	0.867374i
$43$	3.68646	−	8.54617i	0.562179	−	1.30328i	−0.365816	−	0.930687i	$-0.619210\pi$
$43$	3.68646	−	8.54617i	0.562179	−	1.30328i	0.927996	−	0.372591i	$-0.121531\pi$
$44$	4.13951	+	1.50666i	0.624054	+	0.227137i
$45$	−6.89703	−	6.75533i	−1.02815	−	1.00702i
$46$	3.86702	−	1.40748i	0.570161	−	0.207521i
$47$	0.128889	−	2.21294i	0.0188004	−	0.322790i	−0.975775	−	0.218775i	$-0.929794\pi$
$47$	0.128889	−	2.21294i	0.0188004	−	0.322790i	0.994576	−	0.104015i	$-0.0331690\pi$
$48$	0.366104	−	1.69292i	0.0528425	−	0.244352i
$49$	1.43843	+	3.33466i	0.205490	+	0.476380i
$50$	0.311420	+	5.34688i	0.0440415	+	0.756163i
$51$	4.19612	−	5.20601i	0.587574	−	0.728987i
$52$	2.09116	−	2.21650i	0.289991	−	0.307373i
$53$	−6.74438	−	11.6816i	−0.926413	−	1.60459i	−0.789274	−	0.614042i	$-0.789543\pi$
$53$	−6.74438	−	11.6816i	−0.926413	−	1.60459i	−0.137139	−	0.990552i	$-0.543791\pi$
$54$	−4.88096	+	1.78219i	−0.664215	+	0.242525i
$55$	−7.08807	+	12.2769i	−0.955755	+	1.65542i
$56$	−0.935158	−	3.12364i	−0.124966	−	0.417415i
$57$	9.16513	−	5.53545i	1.21395	−	0.733188i
$58$	−1.81073	+	1.19094i	−0.237760	+	0.156377i
$59$	9.21993	+	1.07766i	1.20033	+	0.140299i	0.692668	−	0.721256i	$-0.256435\pi$
$59$	9.21993	+	1.07766i	1.20033	+	0.140299i	0.507664	+	0.861555i	$0.330509\pi$
$60$	5.16057	+	2.10627i	0.666226	+	0.271918i
$61$	−8.22920	+	4.13286i	−1.05364	+	0.529158i	−0.889337	−	0.457252i	$-0.848834\pi$
$61$	−8.22920	+	4.13286i	−1.05364	+	0.529158i	−0.164303	+	0.986410i	$0.552538\pi$
$62$	1.21243	−	6.87606i	0.153979	−	0.873261i
$63$	−6.42676	+	7.37441i	−0.809695	+	0.929088i
$64$	0.173648	+	0.984808i	0.0217060	+	0.123101i
$65$	5.85590	+	7.86584i	0.726335	+	0.975637i
$66$	4.31772	+	6.29078i	0.531475	+	0.774342i
$67$	−4.38886	−	4.65192i	−0.536184	−	0.568322i	0.401478	−	0.915868i	$-0.368496\pi$
$67$	−4.38886	−	4.65192i	−0.536184	−	0.568322i	−0.937663	+	0.347546i	$0.887015\pi$
$68$	−1.10720	+	3.69830i	−0.134267	+	0.448485i
$69$	6.86729	+	1.90912i	0.826725	+	0.229831i
$70$	10.4220	−	1.21815i	1.24566	−	0.145597i
$71$	2.09401	−	1.75708i	0.248513	−	0.208527i	−0.510019	−	0.860163i	$-0.670362\pi$
$71$	2.09401	−	1.75708i	0.248513	−	0.208527i	0.758532	+	0.651636i	$0.225917\pi$
$72$	2.22025	−	2.01754i	0.261660	−	0.237769i
$73$	7.71414	+	6.47293i	0.902872	+	0.757599i	0.970750	−	0.240094i	$-0.0771784\pi$
$73$	7.71414	+	6.47293i	0.902872	+	0.757599i	−0.0678778	+	0.997694i	$0.521623\pi$
$74$	2.82770	+	1.85981i	0.328714	+	0.216199i
$75$	−4.94373	+	7.84970i	−0.570853	+	0.906406i
$76$	−3.69146	+	4.95850i	−0.423440	+	0.568778i
$77$	12.8358	+	6.44638i	1.46277	+	0.734633i
$78$	5.17872	−	1.01890i	0.586375	−	0.115368i
$79$	−1.48194	−	0.351227i	−0.166731	−	0.0395161i	0.146402	−	0.989225i	$-0.453231\pi$
$79$	−1.48194	−	0.351227i	−0.166731	−	0.0395161i	−0.313134	+	0.949709i	$0.601379\pi$
$80$	−3.21806			−0.359791
$81$	−8.67363	−	2.40171i	−0.963736	−	0.266856i
$82$	−2.43946			−0.269394
$83$	14.5585	+	3.45043i	1.59800	+	0.378734i	0.930622	−	0.365982i	$-0.119267\pi$
$83$	14.5585	+	3.45043i	1.59800	+	0.378734i	0.667382	+	0.744716i	$0.267415\pi$
$84$	1.82648	−	5.34406i	0.199286	−	0.583085i
$85$	−11.1018	−	5.57556i	−1.20416	−	0.604754i
$86$	−5.55797	+	7.46565i	−0.599331	+	0.805041i
$87$	−3.75105	−	0.144275i	−0.402155	−	0.0154679i
$88$	−3.68047	−	2.42068i	−0.392339	−	0.258046i
$89$	−0.592954	−	0.497547i	−0.0628530	−	0.0527399i	0.610820	−	0.791770i	$-0.290840\pi$
$89$	−0.592954	−	0.497547i	−0.0628530	−	0.0527399i	−0.673673	+	0.739030i	$0.735284\pi$
$90$	5.15324	+	8.16380i	0.543199	+	0.860540i
$91$	7.61139	−	6.38671i	0.797891	−	0.669510i
$92$	−4.08737	+	0.477745i	−0.426138	+	0.0498083i
$93$	8.63095	−	8.47096i	0.894988	−	0.878398i
$94$	−0.635753	+	2.12356i	−0.0655729	+	0.219029i
$95$	−13.6515	−	14.4698i	−1.40062	−	1.48457i
$96$	−0.746649	+	1.56285i	−0.0762045	+	0.159508i
$97$	−10.5506	−	14.1719i	−1.07125	−	1.43894i	−0.890257	−	0.455459i	$-0.849475\pi$
$97$	−10.5506	−	14.1719i	−1.07125	−	1.43894i	−0.180996	−	0.983484i	$-0.557932\pi$
$98$	−0.630633	−	3.57650i	−0.0637036	−	0.361281i
$99$	−0.247243	+	13.2132i	−0.0248488	+	1.32798i
$100$	0.930049	−	5.27457i	0.0930049	−	0.527457i
$101$	1.81228	−	0.910162i	0.180329	−	0.0905645i	−0.356345	−	0.934355i	$-0.615977\pi$
$101$	1.81228	−	0.910162i	0.180329	−	0.0905645i	0.536673	+	0.843790i	$0.319681\pi$
$102$	−5.28360	+	4.09799i	−0.523154	+	0.405761i
$103$	1.35830	+	0.158763i	0.133838	+	0.0156434i	0.182748	−	0.983160i	$-0.441501\pi$
$103$	1.35830	+	0.158763i	0.133838	+	0.0156434i	−0.0489103	+	0.998803i	$0.515575\pi$
$104$	−2.54595	+	1.67450i	−0.249651	+	0.164198i
$105$	15.9156	+	8.77477i	1.55320	+	0.856330i
$106$	3.86862	+	12.9221i	0.375754	+	1.25511i
$107$	1.20154	−	2.08113i	0.116157	−	0.201190i	−0.802085	−	0.597211i	$-0.796276\pi$
$107$	1.20154	−	2.08113i	0.116157	−	0.201190i	0.918242	+	0.396020i	$0.129609\pi$
$108$	5.16040	−	0.608523i	0.496559	−	0.0585552i
$109$	−2.42984	−	4.20860i	−0.232736	−	0.403111i	0.725876	−	0.687826i	$-0.241435\pi$
$109$	−2.42984	−	4.20860i	−0.232736	−	0.403111i	−0.958612	+	0.284714i	$0.908101\pi$
$110$	9.72825	−	10.3113i	0.927552	−	0.983148i
$111$	2.11327	+	5.46795i	0.200583	+	0.518995i
$112$	0.189588	+	3.25511i	0.0179144	+	0.307579i
$113$	4.76398	+	11.0441i	0.448157	+	1.03895i	0.981224	+	0.192872i	$0.0617802\pi$
$113$	4.76398	+	11.0441i	0.448157	+	1.03895i	−0.533067	+	0.846073i	$0.678961\pi$
$114$	−10.1946	+	3.27262i	−0.954816	+	0.306509i
$115$	0.770010	−	13.2206i	0.0718038	−	1.23282i
$116$	2.03657	−	0.741251i	0.189091	−	0.0688234i
$117$	8.32491	+	3.77728i	0.769639	+	0.349210i
$118$	−8.72288	−	3.17487i	−0.803006	−	0.292270i
$119$	−4.98568	+	11.5581i	−0.457037	+	1.05953i
$120$	−4.53573	−	3.23960i	−0.414053	−	0.295734i
$121$	8.17898	−	1.93845i	0.743543	−	0.176223i
$122$	8.96048	−	2.12367i	0.811244	−	0.192268i
$123$	−3.43832	−	2.45579i	−0.310023	−	0.221431i
$124$	−2.76548	+	6.41111i	−0.248348	+	0.575735i
$125$	1.07636	+	0.391764i	0.0962727	+	0.0350404i
$126$	7.95418	−	5.69352i	0.708614	−	0.507219i
$127$	7.16750	−	2.60876i	0.636013	−	0.231490i	−0.00383330	−	0.999993i	$-0.501220\pi$
$127$	7.16750	−	2.60876i	0.636013	−	0.231490i	0.639846	+	0.768503i	$0.278998\pi$
$128$	0.0581448	−	0.998308i	0.00513933	−	0.0882388i
$129$	−15.3493	+	4.92735i	−1.35143	+	0.433829i
$130$	−3.88407	−	9.00428i	−0.340655	−	0.789727i
$131$	−1.11137	−	19.0815i	−0.0971011	−	1.66716i	−0.597880	−	0.801586i	$-0.703990\pi$
$131$	−1.11137	−	19.0815i	−0.0971011	−	1.66716i	0.500778	−	0.865576i	$-0.333047\pi$
$132$	−2.75058	−	7.11695i	−0.239407	−	0.619451i
$133$	−13.8321	+	14.6611i	−1.19939	+	1.27128i
$134$	3.19775	+	5.53867i	0.276244	+	0.478468i
$135$	−0.955170	+	16.6943i	−0.0822080	+	1.43681i
$136$	1.93024	−	3.34327i	0.165517	−	0.286683i
$137$	−3.38403	−	11.3035i	−0.289117	−	0.965719i	−0.971959	−	0.235152i	$-0.924441\pi$
$137$	−3.38403	−	11.3035i	−0.289117	−	0.965719i	0.682841	−	0.730567i	$-0.260744\pi$
$138$	−6.24191	−	3.44136i	−0.531347	−	0.292948i
$139$	−4.45542	+	2.93038i	−0.377904	+	0.248551i	−0.724224	−	0.689565i	$-0.757802\pi$
$139$	−4.45542	+	2.93038i	−0.377904	+	0.248551i	0.346320	+	0.938117i	$0.387431\pi$
$140$	−10.4220	−	1.21815i	−0.880816	−	0.102953i
$141$	−3.03384	+	2.35306i	−0.255496	+	0.198164i
$142$	−2.44277	+	1.22681i	−0.204993	+	0.102951i
$143$	2.33100	−	13.2198i	0.194928	−	1.10549i
$144$	−2.62568	+	1.45113i	−0.218807	+	0.120928i
$145$	1.21110	+	6.86846i	0.100576	+	0.570395i
$146$	−6.01344	−	8.07746i	−0.497676	−	0.668495i
$147$	2.71158	−	5.67578i	0.223648	−	0.468130i
$148$	−2.32258	−	2.46179i	−0.190915	−	0.202358i
$149$	−0.824795	+	2.75501i	−0.0675698	+	0.225699i	−0.985104	−	0.171957i	$-0.944991\pi$
$149$	−0.824795	+	2.75501i	−0.0675698	+	0.225699i	0.917535	+	0.397656i	$0.130176\pi$
$150$	6.62074	−	6.49801i	0.540581	−	0.530560i
$151$	20.9270	−	2.44602i	1.70302	−	0.199054i	0.791742	−	0.610855i	$-0.209174\pi$
$151$	20.9270	−	2.44602i	1.70302	−	0.199054i	0.911274	+	0.411801i	$0.135100\pi$
$152$	4.73547	−	3.97353i	0.384097	−	0.322296i
$153$	−11.5724	+	0.456978i	−0.935575	+	0.0369445i
$154$	−11.0032	−	9.23275i	−0.886661	−	0.743997i
$155$	−18.7725	−	12.3469i	−1.50785	−	0.991727i
$156$	−5.27411	−	0.202856i	−0.422266	−	0.0162415i
$157$	−8.25551	+	11.0891i	−0.658861	+	0.885004i	−0.998455	−	0.0555682i	$-0.982303\pi$
$157$	−8.25551	+	11.0891i	−0.658861	+	0.885004i	0.339594	+	0.940572i	$0.389710\pi$
$158$	1.36100	+	0.683519i	0.108275	+	0.0543778i
$159$	−7.55592	+	22.1077i	−0.599224	+	1.75325i
$160$	3.13132	+	0.742137i	0.247553	+	0.0586711i
$161$	−13.4181			−1.05749
$162$	7.88596	+	4.33725i	0.619579	+	0.340766i
$163$	0.548797			0.0429851			0.0214925	−	0.999769i	$-0.493158\pi$
$163$	0.548797			0.0429851			0.0214925	+	0.999769i	$0.493158\pi$
$164$	2.37371	+	0.562579i	0.185356	+	0.0439301i
$165$	24.0919	−	4.74004i	1.87555	−	0.369012i
$166$	−13.3704	−	6.71484i	−1.03774	−	0.521173i
$167$	−8.66907	+	11.6446i	−0.670833	+	0.901085i	−0.999053	−	0.0435165i	$-0.986144\pi$
$167$	−8.66907	+	11.6446i	−0.670833	+	0.901085i	0.328220	+	0.944601i	$0.393551\pi$
$168$	−3.00968	+	4.77879i	−0.232202	+	0.368692i
$169$	3.10318	+	2.04100i	0.238706	+	0.157000i
$170$	9.51678	+	7.98553i	0.729904	+	0.612462i
$171$	−17.6634	−	5.65025i	−1.35076	−	0.432086i
$172$	7.12985	−	5.98265i	0.543646	−	0.456173i
$173$	−4.36688	+	0.510415i	−0.332007	+	0.0388061i	−0.280464	−	0.959865i	$-0.590488\pi$
$173$	−4.36688	+	0.510415i	−0.332007	+	0.0388061i	−0.0515437	+	0.998671i	$0.516414\pi$
$174$	3.61667	+	1.00544i	0.274179	+	0.0762221i
$175$	5.00865	−	16.7301i	0.378618	−	1.26467i
$176$	3.02301	+	3.20421i	0.227868	+	0.241526i
$177$	−9.09841	−	13.2561i	−0.683878	−	0.996389i
$178$	0.462228	+	0.620881i	0.0346455	+	0.0465370i
$179$	1.96732	+	11.1572i	0.147045	+	0.833931i	0.965703	+	0.259650i	$0.0836073\pi$
$179$	1.96732	+	11.1572i	0.147045	+	0.833931i	−0.818658	+	0.574281i	$0.805282\pi$
$180$	−3.13163	−	9.13216i	−0.233418	−	0.680671i
$181$	2.82328	−	16.0116i	0.209852	−	1.19013i	−0.679766	−	0.733429i	$-0.737919\pi$
$181$	2.82328	−	16.0116i	0.209852	−	1.19013i	0.889619	−	0.456704i	$-0.150970\pi$
$182$	−8.87910	+	4.45925i	−0.658163	+	0.330542i
$183$	14.7673	+	6.02722i	1.09163	+	0.445545i
$184$	4.08737	+	0.477745i	0.301325	+	0.0352198i
$185$	9.09974	−	5.98499i	0.669026	−	0.440025i
$186$	−10.3518	+	6.25219i	−0.759034	+	0.458433i
$187$	4.87740	+	16.2916i	0.356671	+	1.19136i
$188$	1.10834	−	1.91971i	0.0808342	−	0.140009i
$189$	16.9427	−	0.0173566i	1.23240	−	0.00126251i
$190$	9.94658	+	17.2280i	0.721601	+	1.24985i
$191$	5.13440	−	5.44214i	0.371512	−	0.393780i	−0.514463	−	0.857512i	$-0.672009\pi$
$191$	5.13440	−	5.44214i	0.371512	−	0.393780i	0.885975	+	0.463733i	$0.153490\pi$
$192$	1.08694	−	1.34854i	0.0784433	−	0.0973224i
$193$	−0.715900	−	12.2915i	−0.0515316	−	0.884763i	−0.920706	−	0.390257i	$-0.872386\pi$
$193$	−0.715900	−	12.2915i	−0.0515316	−	0.884763i	0.869174	−	0.494506i	$-0.164651\pi$
$194$	6.99795	+	16.2231i	0.502424	+	1.16475i
$195$	3.59011	−	16.6012i	0.257093	−	1.18884i
$196$	−0.211163	+	3.62553i	−0.0150831	+	0.258966i
$197$	−4.31268	+	1.56969i	−0.307266	+	0.111836i	−0.491051	−	0.871131i	$-0.663387\pi$
$197$	−4.31268	+	1.56969i	−0.307266	+	0.111836i	0.183785	+	0.982966i	$0.441165\pi$
$198$	3.28775	−	12.8000i	0.233650	−	0.909658i
$199$	9.16518	+	3.33585i	0.649702	+	0.236472i	0.645784	−	0.763520i	$-0.276531\pi$
$199$	9.16518	+	3.33585i	0.649702	+	0.236472i	0.00391807	+	0.999992i	$0.498753\pi$
$200$	−2.12138	+	4.91791i	−0.150004	+	0.347749i
$201$	−1.06864	+	11.0257i	−0.0753761	+	0.777690i
$202$	−1.97333	+	0.467687i	−0.138843	+	0.0329064i
$203$	6.87618	−	1.62968i	0.482613	−	0.114381i
$204$	6.08624	−	2.76904i	0.426122	−	0.193872i
$205$	−3.10937	+	7.20832i	−0.217168	+	0.503451i
$206$	−1.28508	−	0.467730i	−0.0895355	−	0.0325883i
$207$	−5.33332	−	11.1341i	−0.370691	−	0.773876i
$208$	2.86349	−	1.04222i	0.198547	−	0.0722652i
$209$	−1.58337	+	27.1854i	−0.109524	+	1.88046i
$210$	−13.4630	−	12.2086i	−0.929035	−	0.842476i
$211$	6.27176	+	14.5396i	0.431766	+	1.00095i	0.985719	+	0.168398i	$0.0538594\pi$
$211$	6.27176	+	14.5396i	0.431766	+	1.00095i	−0.553953	+	0.832548i	$0.686881\pi$
$212$	−0.784302	−	13.4659i	−0.0538661	−	0.924845i
$213$	−4.67800	−	0.729989i	−0.320531	−	0.0500181i
$214$	−1.64909	+	1.74794i	−0.112730	+	0.119487i
$215$	14.9758	+	25.9389i	1.02134	+	1.76902i
$216$	−5.16163	−	0.597949i	−0.351205	−	0.0406853i
$217$	−11.3831	+	19.7160i	−0.772732	+	1.33841i
$218$	1.39377	+	4.65552i	0.0943981	+	0.315312i
$219$	−0.344177	−	17.4385i	−0.0232573	−	1.17839i
$220$	−11.8440	+	7.78991i	−0.798521	+	0.525196i
$221$	11.6843	+	1.36570i	0.785973	+	0.0918671i
$222$	−0.795311	−	5.80792i	−0.0533778	−	0.389802i
$223$	11.7842	−	5.91826i	0.789130	−	0.396316i	−0.00811867	−	0.999967i	$-0.502584\pi$
$223$	11.7842	−	5.91826i	0.789130	−	0.396316i	0.797249	+	0.603651i	$0.206288\pi$
$224$	0.566202	−	3.21109i	0.0378309	−	0.214550i
$225$	15.8731	−	2.49362i	1.05821	−	0.166241i
$226$	−2.08861	−	11.8451i	−0.138932	−	0.787924i
$227$	0.942849	+	1.26647i	0.0625791	+	0.0840583i	0.832311	−	0.554309i	$-0.187017\pi$
$227$	0.942849	+	1.26647i	0.0625791	+	0.0840583i	−0.769732	+	0.638367i	$0.779610\pi$
$228$	10.6746	−	0.833360i	0.706940	−	0.0551906i
$229$	−1.49141	−	1.58080i	−0.0985551	−	0.104462i	0.676218	−	0.736701i	$-0.263618\pi$
$229$	−1.49141	−	1.58080i	−0.0985551	−	0.104462i	−0.774773	+	0.632239i	$0.782136\pi$
$230$	−3.79812	+	12.6866i	−0.250441	+	0.836531i
$231$	−6.21395	−	24.0900i	−0.408848	−	1.58500i
$232$	−2.15262	+	0.251605i	−0.141326	+	0.0165187i
$233$	8.52361	−	7.15216i	0.558400	−	0.468554i	−0.319373	−	0.947629i	$-0.603472\pi$
$233$	8.52361	−	7.15216i	0.558400	−	0.468554i	0.877774	+	0.479075i	$0.159028\pi$
$234$	−7.22941	−	5.59532i	−0.472602	−	0.365777i
$235$	5.46453	+	4.58529i	0.356467	+	0.299111i
$236$	7.75558	+	5.10092i	0.504845	+	0.332042i
$237$	1.23017	+	2.33350i	0.0799084	+	0.151577i
$238$	7.51678	−	10.0968i	0.487240	−	0.654477i
$239$	−8.52643	−	4.28213i	−0.551529	−	0.276988i	0.151131	−	0.988514i	$-0.451708\pi$
$239$	−8.52643	−	4.28213i	−0.551529	−	0.276988i	−0.702660	+	0.711525i	$0.748005\pi$
$240$	3.66636	+	4.19829i	0.236663	+	0.270998i
$241$	4.04395	+	0.958434i	0.260494	+	0.0617381i	0.358787	−	0.933419i	$-0.383190\pi$
$241$	4.04395	+	0.958434i	0.260494	+	0.0617381i	−0.0982937	+	0.995157i	$0.531338\pi$
$242$	−8.40555			−0.540329
$243$	6.74865	+	14.0519i	0.432926	+	0.901430i
$244$	−9.20870			−0.589527
$245$	−11.3719	−	2.69520i	−0.726526	−	0.172190i
$246$	2.77930	+	3.18253i	0.177201	+	0.202910i
$247$	16.8336	+	8.45415i	1.07110	+	0.537925i
$248$	4.16944	−	5.60053i	0.264760	−	0.355634i
$249$	−12.0852	−	22.9241i	−0.765866	−	1.45276i
$250$	−0.957001	−	0.629430i	−0.0605261	−	0.0398086i
$251$	−14.2733	−	11.9767i	−0.900920	−	0.755962i	0.0694501	−	0.997585i	$-0.477876\pi$
$251$	−14.2733	−	11.9767i	−0.900920	−	0.755962i	−0.970370	+	0.241624i	$0.922320\pi$
$252$	−9.05279	+	3.70569i	−0.570272	+	0.233436i
$253$	−13.8870	+	11.6525i	−0.873066	+	0.732589i
$254$	−7.57592	+	0.885498i	−0.475356	+	0.0555611i
$255$	5.37453	+	20.8357i	0.336566	+	1.30478i
$256$	−0.286803	+	0.957990i	−0.0179252	+	0.0598743i
$257$	−11.5322	−	12.2235i	−0.719362	−	0.762479i	0.259778	−	0.965668i	$-0.416351\pi$
$257$	−11.5322	−	12.2235i	−0.719362	−	0.762479i	−0.979139	+	0.203190i	$0.934869\pi$
$258$	16.0719	−	1.25473i	1.00059	−	0.0781160i
$259$	−6.58998	−	8.85188i	−0.409482	−	0.550029i
$260$	1.70284	+	9.65729i	0.105606	+	0.598920i
$261$	4.08537	+	5.05800i	0.252878	+	0.313082i
$262$	−3.31909	+	18.8235i	−0.205054	+	1.16292i
$263$	−11.7750	+	5.91362i	−0.726077	+	0.364649i	−0.773134	−	0.634243i	$-0.781312\pi$
$263$	−11.7750	+	5.91362i	−0.726077	+	0.364649i	0.0470573	+	0.998892i	$0.485016\pi$
$264$	1.03516	+	7.55944i	0.0637095	+	0.465251i
$265$	43.1142	+	5.03933i	2.64849	+	0.309564i
$266$	16.8403	−	11.0760i	1.03254	−	0.679115i
$267$	0.0264554	+	1.34043i	0.00161905	+	0.0820328i
$268$	−1.83425	−	6.12682i	−0.112045	−	0.374255i
$269$	−4.15646	+	7.19920i	−0.253424	+	0.438943i	−0.964466	−	0.264206i	$-0.914890\pi$
$269$	−4.15646	+	7.19920i	−0.253424	+	0.438943i	0.711042	+	0.703149i	$0.248223\pi$
$270$	4.77938	−	16.0240i	0.290864	−	0.975188i
$271$	−14.3124	−	24.7898i	−0.869415	−	1.50587i	−0.862596	−	0.505894i	$-0.831163\pi$
$271$	−14.3124	−	24.7898i	−0.869415	−	1.50587i	−0.00681894	−	0.999977i	$-0.502171\pi$
$272$	−2.64922	+	2.80801i	−0.160633	+	0.170261i
$273$	−17.0038	−	2.65340i	−1.02912	−	0.160591i
$274$	0.686059	+	11.7792i	0.0414463	+	0.711606i
$275$	−9.34504	−	21.6642i	−0.563527	−	1.30640i
$276$	5.28003	+	4.78808i	0.317820	+	0.288209i
$277$	−0.0175120	+	0.300669i	−0.00105219	+	0.0180654i	−0.998793	−	0.0491097i	$-0.984362\pi$
$277$	−0.0175120	+	0.300669i	−0.00105219	+	0.0180654i	0.997741	+	0.0671752i	$0.0213986\pi$
$278$	5.01112	−	1.82390i	0.300547	−	0.109390i
$279$	−20.8845	−	1.60892i	−1.25032	−	0.0963238i
$280$	9.86010	+	3.58878i	0.589254	+	0.214471i
$281$	−2.42528	+	5.62244i	−0.144680	+	0.335406i	−0.975112	−	0.221714i	$-0.928835\pi$
$281$	−2.42528	+	5.62244i	−0.144680	+	0.335406i	0.830431	+	0.557121i	$0.188094\pi$
$282$	3.49472	−	1.58998i	0.208107	−	0.0946822i
$283$	−2.03028	+	0.481185i	−0.120688	+	0.0286035i	−0.290516	−	0.956870i	$-0.593827\pi$
$283$	−2.03028	+	0.481185i	−0.120688	+	0.0286035i	0.169828	+	0.985474i	$0.445679\pi$
$284$	2.65985	−	0.630396i	0.157833	−	0.0374071i
$285$	−3.32400	+	34.2952i	−0.196897	+	2.03147i
$286$	−5.31686	+	12.3259i	−0.314392	+	0.728843i
$287$	7.47448	+	2.72049i	0.441205	+	0.160585i
$288$	2.88956	−	0.806491i	0.170269	−	0.0475230i
$289$	1.97025	−	0.717112i	0.115897	−	0.0421830i
$290$	0.405526	−	6.96262i	0.0238133	−	0.408859i
$291$	−6.46834	+	29.9105i	−0.379181	+	1.75339i
$292$	3.98856	+	9.24652i	0.233413	+	0.541112i
$293$	1.40721	+	24.1608i	0.0822099	+	1.41149i	0.747181	+	0.664621i	$0.231407\pi$
$293$	1.40721	+	24.1608i	0.0822099	+	1.41149i	−0.664971	+	0.746869i	$0.731556\pi$
$294$	−3.94742	+	4.89745i	−0.230218	+	0.285625i
$295$	−20.4996	+	21.7283i	−1.19353	+	1.26507i
$296$	1.69225	+	2.93106i	0.0983599	+	0.170364i
$297$	17.5196	−	14.7313i	1.01659	−	0.854799i
$298$	1.43791	−	2.49053i	0.0832959	−	0.144273i
$299$	3.59653	+	12.0132i	0.207993	+	0.694744i
$300$	−7.94082	+	4.79601i	−0.458463	+	0.276898i
$301$	25.3552	−	16.6764i	1.46145	−	0.961211i
$302$	−20.9270	−	2.44602i	−1.20421	−	0.140752i
$303$	−3.25214	−	1.32735i	−0.186831	−	0.0762542i
$304$	−5.52418	+	2.77435i	−0.316834	+	0.159120i
$305$	5.14592	−	29.1840i	0.294655	−	1.67107i
$306$	11.3659	+	2.22412i	0.649744	+	0.127145i
$307$	−4.36532	−	24.7569i	−0.249142	−	1.41295i	−0.810674	−	0.585498i	$-0.800899\pi$
$307$	−4.36532	−	24.7569i	−0.249142	−	1.41295i	0.561532	−	0.827455i	$-0.310212\pi$
$308$	8.57736	+	11.5214i	0.488740	+	0.656492i
$309$	−1.34040	−	1.95292i	−0.0762527	−	0.111098i
$310$	15.4191	+	16.3433i	0.875748	+	0.928239i
$311$	6.81005	−	22.7472i	0.386163	−	1.28987i	−0.515298	−	0.857011i	$-0.672319\pi$
$311$	6.81005	−	22.7472i	0.386163	−	1.28987i	0.901460	−	0.432862i	$-0.142496\pi$
$312$	5.08516	+	1.41368i	0.287891	+	0.0800339i
$313$	26.5152	−	3.09918i	1.49873	−	0.175176i	0.673166	−	0.739491i	$-0.264934\pi$
$313$	26.5152	−	3.09918i	1.49873	−	0.175176i	0.825559	+	0.564315i	$0.190860\pi$
$314$	10.5903	−	8.88631i	0.597645	−	0.501484i
$315$	−6.68517	−	30.7606i	−0.376667	−	1.73317i
$316$	−1.16668	−	0.978962i	−0.0656309	−	0.0550709i
$317$	−3.67861	−	2.41946i	−0.206611	−	0.135890i	0.441987	−	0.897022i	$-0.354274\pi$
$317$	−3.67861	−	2.41946i	−0.206611	−	0.135890i	−0.648598	+	0.761131i	$0.724644\pi$
$318$	12.4506	−	19.7692i	0.698197	−	1.10860i
$319$	5.70120	−	7.65804i	0.319206	−	0.428768i
$320$	−2.87577	−	1.44426i	−0.160760	−	0.0807369i
$321$	−4.08396	+	0.803512i	−0.227945	+	0.0448477i
$322$	13.0564	+	3.09443i	0.727606	+	0.172446i
$323$	−23.8644			−1.32785
$324$	−6.67315	−	6.03896i	−0.370731	−	0.335498i
$325$	−16.3209			−0.905323
$326$	−0.534004	−	0.126561i	−0.0295757	−	0.00700958i
$327$	−2.72222	+	7.96486i	−0.150539	+	0.440458i
$328$	−2.17999	−	1.09483i	−0.120370	−	0.0604519i
$329$	4.31613	−	5.79757i	0.237956	−	0.319631i
$330$	−24.5356	−	0.943704i	−1.35064	−	0.0519492i
$331$	−7.05623	−	4.64096i	−0.387846	−	0.255090i	0.340579	−	0.940216i	$-0.389377\pi$
$331$	−7.05623	−	4.64096i	−0.387846	−	0.255090i	−0.728425	+	0.685126i	$0.759747\pi$
$332$	11.4614	+	9.61726i	0.629026	+	0.527816i
$333$	4.72583	−	8.98665i	0.258974	−	0.492465i
$334$	11.1208	−	9.33148i	0.608504	−	0.510596i
$335$	20.4420	−	2.38932i	1.11686	−	0.130543i
$336$	4.03062	−	3.95590i	0.219888	−	0.215812i
$337$	−0.604690	+	2.01981i	−0.0329396	+	0.110026i	−0.972878	−	0.231317i	$-0.925697\pi$
$337$	−0.604690	+	2.01981i	−0.0329396	+	0.110026i	0.939939	+	0.341343i	$0.110882\pi$
$338$	−2.54885	−	2.70162i	−0.138639	−	0.146949i
$339$	8.98056	−	18.7977i	0.487757	−	1.02095i
$340$	−7.41867	−	9.96500i	−0.402334	−	0.540428i
$341$	5.34099	+	30.2902i	0.289231	+	1.64031i
$342$	15.8843	+	9.57142i	0.858923	+	0.517563i
$343$	1.90715	−	10.8160i	0.102977	−	0.584009i
$344$	−8.31736	+	4.17713i	−0.448442	+	0.225216i
$345$	−18.1248	+	14.0577i	−0.975807	+	0.756841i
$346$	4.36688	+	0.510415i	0.234765	+	0.0274401i
$347$	−11.6309	+	7.64977i	−0.624380	+	0.410661i	−0.821895	−	0.569639i	$-0.807083\pi$
$347$	−11.6309	+	7.64977i	−0.624380	+	0.410661i	0.197515	+	0.980300i	$0.436713\pi$
$348$	−3.28731	−	1.81240i	−0.176218	−	0.0971547i
$349$	−8.93056	−	29.8301i	−0.478042	−	1.59677i	−0.768478	−	0.639877i	$-0.778985\pi$
$349$	−8.93056	−	29.8301i	−0.478042	−	1.59677i	0.290436	−	0.956894i	$-0.406200\pi$
$350$	−8.73186	+	15.1240i	−0.466737	+	0.808413i
$351$	−4.55678	−	15.1642i	−0.243223	−	0.809403i
$352$	−2.20259	−	3.81499i	−0.117398	−	0.203340i
$353$	−17.2138	+	18.2456i	−0.916200	+	0.971115i	−0.999678	−	0.0253943i	$-0.991916\pi$
$353$	−17.2138	+	18.2456i	−0.916200	+	0.971115i	0.0834774	+	0.996510i	$0.473397\pi$
$354$	5.79609	+	14.9970i	0.308059	+	0.797083i
$355$	0.511481	+	8.78180i	0.0271466	+	0.466089i
$356$	−0.306584	−	0.710742i	−0.0162489	−	0.0376692i
$357$	20.7589	−	6.66390i	1.09868	−	0.352691i
$358$	0.658744	−	11.3102i	0.0348157	−	0.597762i
$359$	−1.20287	+	0.437808i	−0.0634850	+	0.0231066i	−0.373567	−	0.927603i	$-0.621866\pi$
$359$	−1.20287	+	0.437808i	−0.0634850	+	0.0231066i	0.310082	+	0.950710i	$0.399643\pi$
$360$	0.941193	+	9.60821i	0.0496052	+	0.506397i
$361$	−18.0549	−	6.57143i	−0.950256	−	0.345865i
$362$	−6.43970	+	14.9289i	−0.338463	+	0.784646i
$363$	−11.8473	−	8.46180i	−0.621820	−	0.444130i
$364$	9.66814	−	2.29139i	0.506748	−	0.120102i
$365$	−31.5327	+	7.47339i	−1.65050	+	0.391175i
$366$	−12.9793	−	9.27033i	−0.678437	−	0.484568i
$367$	−14.2354	+	33.0014i	−0.743082	+	1.72266i	−0.0533685	+	0.998575i	$0.516996\pi$
$367$	−14.2354	+	33.0014i	−0.743082	+	1.72266i	−0.689713	+	0.724083i	$0.742263\pi$
$368$	−3.86702	−	1.40748i	−0.201582	−	0.0733699i
$369$	0.713475	+	7.28353i	0.0371420	+	0.379166i
$370$	−10.2347	+	3.72512i	−0.532076	+	0.193660i
$371$	2.55732	−	43.9074i	0.132769	−	2.27956i
$372$	11.5147	−	3.69637i	0.597008	−	0.191648i
$373$	0.517074	+	1.19871i	0.0267731	+	0.0620670i	0.931078	−	0.364820i	$-0.118869\pi$
$373$	0.517074	+	1.19871i	0.0267731	+	0.0620670i	−0.904305	+	0.426887i	$0.859610\pi$
$374$	−0.988816	−	16.9773i	−0.0511304	−	0.877876i
$375$	−0.715210	−	1.85056i	−0.0369333	−	0.0955625i
$376$	−1.52118	+	1.61236i	−0.0784490	+	0.0831511i
$377$	−3.30212	−	5.71944i	−0.170068	−	0.294566i
$378$	−16.4900	−	3.89037i	−0.848154	−	0.200099i
$379$	16.6826	−	28.8951i	0.856927	−	1.48424i	−0.0179179	−	0.999839i	$-0.505704\pi$
$379$	16.6826	−	28.8951i	0.856927	−	1.48424i	0.874845	−	0.484402i	$-0.160963\pi$
$380$	−5.70542	−	19.0574i	−0.292682	−	0.977626i
$381$	−11.5694	−	6.37855i	−0.592717	−	0.326783i
$382$	−6.25104	+	4.11138i	−0.319831	+	0.210356i
$383$	1.20980	+	0.141405i	0.0618177	+	0.00722545i	0.146946	−	0.989145i	$-0.453056\pi$
$383$	1.20980	+	0.141405i	0.0618177	+	0.00722545i	−0.0851278	+	0.996370i	$0.527130\pi$
$384$	−1.36864	+	1.06152i	−0.0698430	+	0.0541706i
$385$	−41.3064	+	20.7449i	−2.10517	+	1.05726i
$386$	−2.13802	+	12.1253i	−0.108822	+	0.617162i
$387$	23.9158	+	14.4110i	1.21571	+	0.732552i
$388$	−3.06802	−	17.3996i	−0.155755	−	0.883332i
$389$	8.26598	+	11.1031i	0.419102	+	0.562952i	0.960665	−	0.277708i	$-0.0895748\pi$
$389$	8.26598	+	11.1031i	0.419102	+	0.562952i	−0.541563	+	0.840660i	$0.682167\pi$
$390$	−7.32184	+	15.3258i	−0.370756	+	0.776051i
$391$	−10.9021	−	11.5555i	−0.551341	−	0.584387i
$392$	1.04158	−	3.47910i	0.0526075	−	0.175721i
$393$	−23.6276	+	23.1896i	−1.19185	+	1.16976i
$394$	4.55843	−	0.532804i	0.229650	−	0.0268423i
$395$	3.75446	−	3.15036i	0.188907	−	0.158512i
$396$	−6.15102	+	11.6968i	−0.309100	+	0.587786i
$397$	25.3266	+	21.2515i	1.27111	+	1.06658i	0.994406	+	0.105627i	$0.0336850\pi$
$397$	25.3266	+	21.2515i	1.27111	+	1.06658i	0.276699	+	0.960957i	$0.410759\pi$
$398$	−8.14883	−	5.35957i	−0.408464	−	0.268651i
$399$	34.8858	+	1.34180i	1.74648	+	0.0671740i
$400$	3.19835	−	4.29612i	0.159917	−	0.214806i
$401$	13.5684	+	6.81433i	0.677576	+	0.340291i	0.754084	−	0.656778i	$-0.228081\pi$
$401$	13.5684	+	6.81433i	0.677576	+	0.340291i	−0.0765085	+	0.997069i	$0.524377\pi$
$402$	3.58253	−	10.4820i	0.178680	−	0.522796i
$403$	20.7029	+	4.90667i	1.03128	+	0.244419i
$404$	2.02799			0.100896
$405$	22.8676	−	17.7737i	1.13630	−	0.883185i
$406$	−7.06666			−0.350712
$407$	−14.5074	−	3.43832i	−0.719105	−	0.170431i
$408$	−6.56077	+	1.29082i	−0.324807	+	0.0639051i
$409$	−25.1931	−	12.6525i	−1.24572	−	0.625624i	−0.301038	−	0.953612i	$-0.597333\pi$
$409$	−25.1931	−	12.6525i	−1.24572	−	0.625624i	−0.944682	+	0.327988i	$0.893629\pi$
$410$	4.68791	−	6.29695i	0.231519	−	0.310984i
$411$	−10.8910	+	17.2929i	−0.537215	+	0.852996i
$412$	1.14257	+	0.751481i	0.0562905	+	0.0370228i
$413$	23.1862	+	19.4555i	1.14092	+	0.957342i
$414$	2.62185	+	12.0640i	0.128857	+	0.592912i
$415$	−36.8835	+	30.9490i	−1.81054	+	1.51923i
$416$	−3.02665	+	0.353765i	−0.148394	+	0.0173448i
$417$	8.89906	+	2.47395i	0.435789	+	0.121150i
$418$	7.81009	−	26.0875i	0.382004	−	1.27598i
$419$	11.0678	+	11.7312i	0.540696	+	0.573105i	0.938899	−	0.344193i	$-0.111847\pi$
$419$	11.0678	+	11.7312i	0.540696	+	0.573105i	−0.398203	+	0.917298i	$0.630366\pi$
$420$	10.2846	+	14.9843i	0.501837	+	0.731160i
$421$	−2.08221	−	2.79689i	−0.101481	−	0.136312i	0.748482	−	0.663155i	$-0.230783\pi$
$421$	−2.08221	−	2.79689i	−0.101481	−	0.136312i	−0.849963	+	0.526843i	$0.823376\pi$
$422$	−2.74965	−	15.5940i	−0.133851	−	0.759105i
$423$	6.52628	+	1.27709i	0.317319	+	0.0620943i
$424$	−2.34230	+	13.2838i	−0.113752	+	0.645121i
$425$	18.4772	−	9.27960i	0.896276	−	0.450127i
$426$	4.38356	+	1.78913i	0.212384	+	0.0866838i
$427$	−29.8231	−	3.48582i	−1.44324	−	0.168691i
$428$	2.00774	−	1.32051i	0.0970480	−	0.0638294i
$429$	−19.9022	+	12.0203i	−0.960889	+	0.580347i
$430$	−8.59024	−	28.6934i	−0.414258	−	1.38372i
$431$	9.33715	−	16.1724i	0.449754	−	0.778998i	−0.548615	−	0.836075i	$-0.684845\pi$
$431$	9.33715	−	16.1724i	0.449754	−	0.778998i	0.998370	+	0.0570773i	$0.0181782\pi$
$432$	4.88460	+	1.77219i	0.235011	+	0.0852643i
$433$	14.8700	+	25.7556i	0.714606	+	1.23773i	0.963111	+	0.269104i	$0.0867275\pi$
$433$	14.8700	+	25.7556i	0.714606	+	1.23773i	−0.248505	+	0.968631i	$0.579939\pi$
$434$	15.6231	−	16.5595i	0.749931	−	0.794880i
$435$	7.58079	−	9.40528i	0.363471	−	0.450949i
$436$	−0.282565	−	4.85146i	−0.0135324	−	0.232343i
$437$	−10.0759	−	23.3585i	−0.481993	−	1.11739i
$438$	−3.68670	+	17.0478i	−0.176157	+	0.814577i
$439$	0.173727	−	2.98277i	0.00829152	−	0.142360i	−0.991622	−	0.129177i	$-0.958767\pi$
$439$	0.173727	−	2.98277i	0.00829152	−	0.142360i	0.999913	−	0.0131831i	$-0.00419644\pi$
$440$	13.3212	−	4.84852i	0.635064	−	0.231144i
$441$	−10.4939	+	2.92891i	−0.499712	+	0.139472i
$442$	−11.0544	−	4.02348i	−0.525806	−	0.191378i
$443$	9.88236	−	22.9099i	0.469525	−	1.08848i	−0.504780	−	0.863248i	$-0.668426\pi$
$443$	9.88236	−	22.9099i	0.469525	−	1.08848i	0.974305	−	0.225234i	$-0.0723145\pi$
$444$	−0.565524	+	5.83478i	−0.0268386	+	0.276906i
$445$	2.42379	−	0.574448i	0.114899	−	0.0272315i
$446$	−12.8314	+	3.04110i	−0.607585	+	0.144000i
$447$	4.53388	−	2.06277i	0.214445	−	0.0975656i
$448$	−1.29147	+	2.99396i	−0.0610161	+	0.141451i
$449$	19.6863	+	7.16523i	0.929054	+	0.338148i	0.761835	−	0.647772i	$-0.224299\pi$
$449$	19.6863	+	7.16523i	0.929054	+	0.338148i	0.167220	+	0.985920i	$0.446521\pi$
$450$	−16.0204	−	1.23419i	−0.755207	−	0.0581804i
$451$	10.0982	−	3.67544i	0.475505	−	0.173070i
$452$	−0.699356	+	12.0075i	−0.0328949	+	0.564784i
$453$	−27.0333	−	24.5146i	−1.27014	−	1.15180i
$454$	−0.625368	−	1.44976i	−0.0293500	−	0.0680408i
$455$	1.85916	+	31.9205i	0.0871586	+	1.49646i
$456$	−10.5790	−	1.65083i	−0.495408	−	0.0773070i
$457$	9.59434	−	10.1694i	0.448804	−	0.475705i	−0.462983	−	0.886367i	$-0.653221\pi$
$457$	9.59434	−	10.1694i	0.448804	−	0.475705i	0.911788	+	0.410662i	$0.134702\pi$
$458$	1.08665	+	1.88213i	0.0507758	+	0.0879463i
$459$	13.7807	+	14.5767i	0.643228	+	0.680384i
$460$	6.62148	−	11.4687i	0.308728	−	0.534733i
$461$	1.96709	+	6.57055i	0.0916167	+	0.306021i	0.991499	−	0.130111i	$-0.0415333\pi$
$461$	1.96709	+	6.57055i	0.0916167	+	0.306021i	−0.899883	+	0.436132i	$0.856348\pi$
$462$	0.490921	+	24.8737i	0.0228397	+	1.15723i
$463$	−17.7351	+	11.6646i	−0.824219	+	0.542098i	−0.890119	−	0.455729i	$-0.849379\pi$
$463$	−17.7351	+	11.6646i	−0.824219	+	0.542098i	0.0658993	+	0.997826i	$0.479008\pi$
$464$	2.15262	+	0.251605i	0.0999328	+	0.0116805i
$465$	5.27991	+	38.5576i	0.244850	+	1.78806i
$466$	−9.94326	+	4.99369i	−0.460613	+	0.231328i
$467$	−1.36865	+	7.76199i	−0.0633335	+	0.359182i	0.936627	+	0.350327i	$0.113930\pi$
$467$	−1.36865	+	7.76199i	−0.0633335	+	0.359182i	−0.999961	+	0.00885477i	$0.997181\pi$
$468$	5.74418	+	7.11171i	0.265525	+	0.328739i
$469$	−3.62114	−	20.5365i	−0.167209	−	0.948288i
$470$	−4.25980	−	5.72190i	−0.196490	−	0.263932i
$471$	23.8723	−	1.86371i	1.09998	−	0.0858751i
$472$	−6.37017	−	6.75199i	−0.293211	−	0.310785i
$473$	11.7591	−	39.2781i	0.540683	−	1.80601i
$474$	−0.658874	−	2.55429i	−0.0302631	−	0.117323i
$475$	32.8850	−	3.84371i	1.50887	−	0.176361i
$476$	−9.64264	+	8.09114i	−0.441970	+	0.370857i
$477$	37.4502	−	15.3299i	1.71473	−	0.701909i
$478$	7.30907	+	6.13304i	0.334309	+	0.280519i
$479$	9.68086	+	6.36720i	0.442330	+	0.290925i	0.751071	−	0.660221i	$-0.229537\pi$
$479$	9.68086	+	6.36720i	0.442330	+	0.290925i	−0.308742	+	0.951146i	$0.599908\pi$
$480$	−2.59934	−	4.93064i	−0.118643	−	0.225052i
$481$	−6.15875	+	8.27264i	−0.280815	+	0.377200i
$482$	−3.71391	−	1.86520i	−0.169164	−	0.0849574i
$483$	15.2873	+	17.5053i	0.695597	+	0.796517i
$484$	8.17898	+	1.93845i	0.371772	+	0.0881115i
$485$	56.8569			2.58174
$486$	−3.32614	−	15.2295i	−0.150877	−	0.690823i
$487$	8.08260			0.366258			0.183129	−	0.983089i	$-0.441377\pi$
$487$	8.08260			0.366258			0.183129	+	0.983089i	$0.441377\pi$
$488$	8.96048	+	2.12367i	0.405622	+	0.0961341i
$489$	−0.625248	−	0.715961i	−0.0282747	−	0.0323769i
$490$	10.4438	+	5.24510i	0.471805	+	0.236949i
$491$	6.55244	−	8.80145i	0.295707	−	0.397204i	−0.629294	−	0.777167i	$-0.716656\pi$
$491$	6.55244	−	8.80145i	0.295707	−	0.397204i	0.925002	+	0.379963i	$0.124063\pi$
$492$	−1.97044	−	3.73769i	−0.0888343	−	0.168508i
$493$	6.99028	+	4.59758i	0.314827	+	0.207065i
$494$	−14.4302	−	12.1084i	−0.649245	−	0.544781i
$495$	−33.6319	−	26.0300i	−1.51164	−	1.16996i
$496$	−5.34863	+	4.48803i	−0.240160	+	0.201518i
$497$	8.85275	−	1.03474i	0.397100	−	0.0464143i
$498$	6.47274	+	25.0932i	0.290050	+	1.12445i
$499$	−7.65619	+	25.5735i	−0.342738	+	1.14482i	0.596803	+	0.802388i	$0.296437\pi$
$499$	−7.65619	+	25.5735i	−0.342738	+	1.14482i	−0.939541	+	0.342437i	$0.888748\pi$
$500$	0.786049	+	0.833163i	0.0351532	+	0.0372602i
$501$	25.0682	−	1.95707i	1.11997	−	0.0874355i
$502$	11.1265	+	14.9455i	0.496600	+	0.667050i
$503$	1.91714	+	10.8727i	0.0854812	+	0.484788i	0.997252	+	0.0740878i	$0.0236045\pi$
$503$	1.91714	+	10.8727i	0.0854812	+	0.484788i	−0.911771	+	0.410700i	$0.865284\pi$
$504$	9.66336	−	1.51808i	0.430440	−	0.0676208i
$505$	−1.13326	+	6.42706i	−0.0504296	+	0.286001i
$506$	16.1999	−	8.13589i	0.720173	−	0.361685i
$507$	−0.872792	−	6.37373i	−0.0387620	−	0.283067i
$508$	7.57592	+	0.885498i	0.336127	+	0.0392876i
$509$	16.3574	−	10.7584i	0.725028	−	0.476859i	−0.132573	−	0.991173i	$-0.542324\pi$
$509$	16.3574	−	10.7584i	0.725028	−	0.476859i	0.857602	+	0.514315i	$0.171954\pi$
$510$	−0.424604	−	21.5136i	−0.0188018	−	0.952636i
$511$	9.41713	+	31.4554i	0.416589	+	1.39150i
$512$	0.500000	−	0.866025i	0.0220971	−	0.0382733i
$513$	12.7527	+	29.4811i	0.563047	+	1.30162i
$514$	8.40246	+	14.5535i	0.370617	+	0.641927i
$515$	−3.02006	+	3.20107i	−0.133080	+	0.141056i
$516$	−15.9281	−	2.48553i	−0.701193	−	0.109419i
$517$	−0.567778	−	9.74837i	−0.0249708	−	0.428733i
$518$	4.37097	+	10.1330i	0.192049	+	0.445220i
$519$	5.64109	+	5.11551i	0.247617	+	0.224546i
$520$	0.570184	−	9.78968i	0.0250042	−	0.429306i
$521$	−27.8349	+	10.1311i	−1.21947	+	0.443850i	−0.869978	−	0.493090i	$-0.835867\pi$
$521$	−27.8349	+	10.1311i	−1.21947	+	0.443850i	−0.349489	+	0.936940i	$0.613645\pi$
$522$	−2.80880	−	5.86381i	−0.122938	−	0.256652i
$523$	−11.3428	−	4.12845i	−0.495987	−	0.180524i	0.0819012	−	0.996640i	$-0.473901\pi$
$523$	−11.3428	−	4.12845i	−0.495987	−	0.180524i	−0.577888	+	0.816116i	$0.696123\pi$
$524$	7.57062	−	17.5507i	0.330724	−	0.766704i
$525$	−27.5324	+	12.5264i	−1.20161	+	0.546695i
$526$	12.8214	−	3.03872i	0.559038	−	0.132494i
$527$	−26.2278	+	6.21611i	−1.14250	+	0.270778i
$528$	0.736072	−	7.59440i	0.0320334	−	0.330504i
$529$	−2.40230	+	5.56915i	−0.104448	+	0.242137i
$530$	−40.7899	−	14.8463i	−1.77180	−	0.644883i
$531$	−6.92804	+	26.9725i	−0.300651	+	1.17051i
$532$	−18.9407	+	6.89384i	−0.821182	+	0.298886i
$533$	0.432230	−	7.42110i	0.0187220	−	0.321444i
$534$	0.283381	−	1.31040i	0.0122631	−	0.0567064i
$535$	3.06299	+	7.10081i	0.132425	+	0.306995i
$536$	0.371865	+	6.38468i	0.0160621	+	0.275776i
$537$	12.3144	−	15.2781i	0.531404	−	0.659298i
$538$	5.70468	−	6.04660i	0.245946	−	0.260688i
$539$	7.99907	+	13.8548i	0.344544	+	0.596769i
$540$	−8.34594	+	14.4898i	−0.359152	+	0.623544i
$541$	3.36070	−	5.82090i	0.144488	−	0.250260i	−0.784694	−	0.619883i	$-0.787180\pi$
$541$	3.36070	−	5.82090i	0.144488	−	0.250260i	0.929182	+	0.369623i	$0.120513\pi$
$542$	8.20967	+	27.4222i	0.352636	+	1.17788i
$543$	−24.1053	+	14.5589i	−1.03446	+	0.624780i
$544$	3.22538	−	2.12137i	0.138287	−	0.0909529i
$545$	15.5330	+	1.81555i	0.665361	+	0.0777696i
$546$	15.9336	+	6.50323i	0.681893	+	0.278312i
$547$	−11.8247	+	5.93857i	−0.505586	+	0.253915i	−0.683261	−	0.730174i	$-0.739439\pi$
$547$	−11.8247	+	5.93857i	−0.505586	+	0.253915i	0.177675	+	0.984089i	$0.443143\pi$
$548$	2.04890	−	11.6199i	0.0875246	−	0.496377i
$549$	−8.96136	−	26.1323i	−0.382461	−	1.11530i
$550$	4.09703	+	23.2354i	0.174698	+	0.990761i
$551$	8.00040	+	10.7464i	0.340829	+	0.457812i
$552$	−4.03350	−	5.87668i	−0.171677	−	0.250128i
$553$	−3.40782	−	3.61207i	−0.144915	−	0.153601i
$554$	0.0863789	−	0.288526i	0.00366989	−	0.0122583i
$555$	−18.1754	−	5.05278i	−0.771503	−	0.214479i
$556$	−5.29666	+	0.619091i	−0.224628	+	0.0262553i
$557$	−18.3105	+	15.3643i	−0.775839	+	0.651007i	−0.942197	−	0.335059i	$-0.891244\pi$
$557$	−18.3105	+	15.3643i	−0.775839	+	0.651007i	0.166358	+	0.986065i	$0.446799\pi$
$558$	19.9505	+	6.38186i	0.844573	+	0.270166i
$559$	−21.7265	−	18.2307i	−0.918933	−	0.771076i
$560$	−8.76669	−	5.76594i	−0.370460	−	0.243656i
$561$	15.6972	−	24.9242i	0.662738	−	1.05230i
$562$	3.65653	−	4.91157i	0.154241	−	0.207182i
$563$	12.9879	+	6.52278i	0.547376	+	0.274902i	0.700921	−	0.713239i	$-0.252773\pi$
$563$	12.9879	+	6.52278i	0.547376	+	0.274902i	−0.153545	+	0.988142i	$0.549069\pi$
$564$	−3.76719	+	0.741189i	−0.158627	+	0.0312097i
$565$	−37.6630	−	8.92629i	−1.58449	−	0.375532i
$566$	2.08652			0.0877031
$567$	−19.3256	−	22.0837i	−0.811597	−	0.927427i
$568$	−2.73353			−0.114696
$569$	−38.3911	−	9.09886i	−1.60944	−	0.381444i	−0.675071	−	0.737753i	$-0.735887\pi$
$569$	−38.3911	−	9.09886i	−1.60944	−	0.381444i	−0.934368	+	0.356309i	$0.884035\pi$
$570$	11.1434	−	32.6042i	0.466747	−	1.36564i
$571$	40.8935	+	20.5375i	1.71134	+	0.859468i	0.985090	+	0.172039i	$0.0550355\pi$
$571$	40.8935	+	20.5375i	1.71134	+	0.859468i	0.726252	+	0.687429i	$0.241261\pi$
$572$	8.01608	−	10.7675i	0.335169	−	0.450210i
$573$	−12.9495	−	0.498070i	−0.540972	−	0.0208072i
$574$	−6.64562	−	4.37089i	−0.277383	−	0.182438i
$575$	16.8842	+	14.1675i	0.704119	+	0.590826i
$576$	−2.99766	+	0.118373i	−0.124903	+	0.00493223i
$577$	15.3065	−	12.8436i	0.637216	−	0.534688i	−0.265946	−	0.963988i	$-0.585684\pi$
$577$	15.3065	−	12.8436i	0.637216	−	0.534688i	0.903162	+	0.429300i	$0.141240\pi$
$578$	−2.08252	+	0.243411i	−0.0866213	+	0.0101246i
$579$	−15.2199	+	14.9378i	−0.632517	+	0.620793i
$580$	−2.00029	+	6.68142i	−0.0830574	+	0.277431i
$581$	33.4782	+	35.4848i	1.38891	+	1.47216i
$582$	13.1918	−	27.6126i	0.546819	−	1.14458i
$583$	−35.4834	−	47.6625i	−1.46957	−	1.97398i
$584$	−1.74865	−	9.91711i	−0.0723598	−	0.410373i
$585$	−25.7482	+	14.2302i	−1.06456	+	0.588346i
$586$	4.20259	−	23.8341i	0.173607	−	0.984577i
$587$	−7.55707	+	3.79530i	−0.311914	+	0.156649i	−0.597869	−	0.801594i	$-0.703986\pi$
$587$	−7.55707	+	3.79530i	−0.311914	+	0.156649i	0.285955	+	0.958243i	$0.407689\pi$
$588$	4.97044	−	3.85510i	0.204978	−	0.158982i
$589$	−42.8697	−	5.01075i	−1.76642	−	0.206464i
$590$	24.9580	−	16.4151i	1.02750	−	0.675799i
$591$	6.96128	+	3.83797i	0.286349	+	0.157873i
$592$	−0.970684	−	3.24231i	−0.0398949	−	0.133258i
$593$	17.4200	−	30.1723i	0.715352	−	1.23903i	−0.247471	−	0.968895i	$-0.579600\pi$
$593$	17.4200	−	30.1723i	0.715352	−	1.23903i	0.962824	−	0.270131i	$-0.0870671\pi$
$594$	−20.4447	+	10.2939i	−0.838855	+	0.422366i
$595$	−20.2538	−	35.0806i	−0.830326	−	1.43817i
$596$	−1.97351	+	2.09180i	−0.0808380	+	0.0856833i
$597$	−6.08999	−	15.7574i	−0.249247	−	0.644909i
$598$	−0.729139	−	12.5188i	−0.0298167	−	0.511933i
$599$	4.93725	+	11.4458i	0.201730	+	0.467664i	0.988809	−	0.149190i	$-0.0476665\pi$
$599$	4.93725	+	11.4458i	0.201730	+	0.467664i	−0.787078	+	0.616853i	$0.788407\pi$
$600$	8.83281	−	2.83545i	0.360598	−	0.115757i
$601$	0.470751	−	8.08248i	0.0192023	−	0.329691i	−0.975003	−	0.222192i	$-0.928679\pi$
$601$	0.470751	−	8.08248i	0.0192023	−	0.329691i	0.994205	−	0.107499i	$-0.0342842\pi$
$602$	−28.5176	+	10.3796i	−1.16229	+	0.423039i
$603$	15.6016	−	11.1675i	0.635346	−	0.454774i
$604$	19.7988	+	7.20619i	0.805603	+	0.293216i
$605$	−10.7138	+	24.8374i	−0.435578	+	1.00978i
$606$	2.85837	+	2.04157i	0.116113	+	0.0829329i
$607$	−29.4463	+	6.97891i	−1.19519	+	0.283265i	−0.779595	−	0.626284i	$-0.784575\pi$
$607$	−29.4463	+	6.97891i	−1.19519	+	0.283265i	−0.415595	+	0.909550i	$0.636427\pi$
$608$	6.01508	−	1.42560i	0.243944	−	0.0578158i
$609$	−9.96016	−	7.11395i	−0.403606	−	0.288272i
$610$	−11.7375	+	27.2106i	−0.475238	+	1.10172i
$611$	−6.34745	−	2.31028i	−0.256790	−	0.0934641i
$612$	−10.5466	−	4.78532i	−0.426320	−	0.193435i
$613$	−19.5141	+	7.10256i	−0.788168	+	0.286870i	−0.704575	−	0.709630i	$-0.748862\pi$
$613$	−19.5141	+	7.10256i	−0.788168	+	0.286870i	−0.0835940	+	0.996500i	$0.526640\pi$
$614$	−1.46169	+	25.0963i	−0.0589892	+	1.01281i
$615$	12.9465	−	4.15600i	0.522053	−	0.167586i
$616$	−5.68914	−	13.1889i	−0.229222	−	0.531396i
$617$	−1.82717	−	31.3714i	−0.0735593	−	1.26296i	−0.809987	−	0.586448i	$-0.800526\pi$
$617$	−1.82717	−	31.3714i	−0.0735593	−	1.26296i	0.736428	−	0.676516i	$-0.236511\pi$
$618$	0.853895	+	2.20940i	0.0343487	+	0.0888751i
$619$	12.3233	−	13.0619i	0.495314	−	0.525002i	−0.430698	−	0.902496i	$-0.641733\pi$
$619$	12.3233	−	13.0619i	0.495314	−	0.525002i	0.926012	+	0.377494i	$0.123214\pi$
$620$	−11.2345	−	19.4587i	−0.451188	−	0.781480i
$621$	−8.44932	+	19.6430i	−0.339060	+	0.788248i
$622$	−11.8723	+	20.5635i	−0.476037	+	0.824521i
$623$	−0.723855	−	2.41785i	−0.0290007	−	0.0968689i
$624$	−4.62207	−	2.54829i	−0.185031	−	0.102013i
$625$	19.2944	−	12.6901i	0.771777	−	0.507606i
$626$	−26.5152	−	3.09918i	−1.05976	−	0.123868i
$627$	37.2701	−	28.9069i	1.48842	−	1.15443i
$628$	−12.3542	+	6.20449i	−0.492984	+	0.247586i
$629$	2.26885	−	12.8673i	0.0904649	−	0.513052i
$630$	−0.588919	+	31.4732i	−0.0234631	+	1.25392i
$631$	6.09220	+	34.5506i	0.242527	+	1.37544i	0.826167	+	0.563425i	$0.190517\pi$
$631$	6.09220	+	34.5506i	0.242527	+	1.37544i	−0.583640	+	0.812012i	$0.698372\pi$
$632$	0.909469	+	1.22163i	0.0361767	+	0.0485938i
$633$	11.8229	−	24.7472i	0.469917	−	0.983612i
$634$	3.02148	+	3.20259i	0.119998	+	0.127191i
$635$	−7.03981	+	23.5146i	−0.279366	+	0.933149i
$636$	−16.6741	+	16.3650i	−0.661172	+	0.648916i
$637$	10.9918	−	1.28476i	0.435512	−	0.0509040i
$638$	−7.31358	+	6.13683i	−0.289548	+	0.242959i
$639$	4.37733	+	6.93460i	0.173164	+	0.274329i
$640$	2.46518	+	2.06853i	0.0974448	+	0.0817659i
$641$	−16.1303	−	10.6091i	−0.637109	−	0.419033i	0.189444	−	0.981891i	$-0.439331\pi$
$641$	−16.1303	−	10.6091i	−0.637109	−	0.419033i	−0.826554	+	0.562858i	$0.809702\pi$
$642$	4.15918	+	0.159973i	0.164150	+	0.00631362i
$643$	−11.3630	+	15.2631i	−0.448111	+	0.601918i	−0.967578	−	0.252573i	$-0.918723\pi$
$643$	−11.3630	+	15.2631i	−0.448111	+	0.601918i	0.519467	+	0.854491i	$0.326131\pi$
$644$	−11.9909	−	6.02203i	−0.472506	−	0.237301i
$645$	16.7779	−	49.0898i	0.660627	−	1.93291i
$646$	23.2211	+	5.50350i	0.913622	+	0.216533i
$647$	−3.04883			−0.119862			−0.0599309	−	0.998203i	$-0.519088\pi$
$647$	−3.04883			−0.119862			−0.0599309	+	0.998203i	$0.519088\pi$
$648$	5.10060	+	7.41512i	0.200370	+	0.291293i
$649$	40.8919			1.60515
$650$	15.8810	+	3.76387i	0.622904	+	0.147631i
$651$	38.6903	−	7.61226i	1.51639	−	0.298348i
$652$	0.490423	+	0.246300i	0.0192064	+	0.00964584i
$653$	−24.4461	+	32.8368i	−0.956650	+	1.28500i	0.00187524	+	0.999998i	$0.499403\pi$
$653$	−24.4461	+	32.8368i	−0.956650	+	1.28500i	−0.958526	+	0.285006i	$0.908004\pi$
$654$	4.48566	−	7.12238i	0.175403	−	0.278507i
$655$	51.3906	+	33.8001i	2.00800	+	1.32068i
$656$	1.86874	+	1.56806i	0.0729620	+	0.0612224i
$657$	−22.3582	+	20.3168i	−0.872275	+	0.792635i
$658$	−5.53680	+	4.64593i	−0.215847	+	0.181117i
$659$	14.4938	−	1.69408i	0.564599	−	0.0659922i	0.170994	−	0.985272i	$-0.445302\pi$
$659$	14.4938	−	1.69408i	0.564599	−	0.0659922i	0.393605	+	0.919280i	$0.371228\pi$
$660$	23.6566	+	6.57657i	0.920834	+	0.255993i
$661$	−6.96439	+	23.2627i	−0.270883	+	0.904813i	0.708994	+	0.705214i	$0.249149\pi$
$661$	−6.96439	+	23.2627i	−0.270883	+	0.904813i	−0.979878	+	0.199599i	$0.936036\pi$
$662$	5.79575	+	6.14314i	0.225258	+	0.238760i
$663$	−11.5303	−	16.7993i	−0.447801	−	0.652432i
$664$	−8.93457	−	12.0012i	−0.346728	−	0.465737i
$665$	−11.2635	−	63.8787i	−0.436781	−	2.47711i
$666$	−6.67091	+	7.65456i	−0.258492	+	0.296608i
$667$	−1.54872	+	8.78325i	−0.0599668	+	0.340089i
$668$	−12.9730	+	6.51531i	−0.501942	+	0.252085i
$669$	−21.1468	−	8.63099i	−0.817582	−	0.333693i
$670$	−20.4420	−	2.38932i	−0.789742	−	0.0923076i
$671$	−33.8923	+	22.2913i	−1.30840	+	0.860548i
$672$	−4.83426	+	2.91975i	−0.186486	+	0.112632i
$673$	0.419652	+	1.40173i	0.0161764	+	0.0540329i	0.965697	−	0.259673i	$-0.0836147\pi$
$673$	0.419652	+	1.40173i	0.0161764	+	0.0540329i	−0.949520	+	0.313706i	$0.898430\pi$
$674$	1.05419	−	1.82591i	0.0406059	−	0.0703314i
$675$	−21.3375	−	17.8671i	−0.821283	−	0.687705i
$676$	1.85711	+	3.21661i	0.0714273	+	0.123716i
$677$	−9.92930	+	10.5244i	−0.381614	+	0.404487i	−0.889499	−	0.456938i	$-0.848946\pi$
$677$	−9.92930	+	10.5244i	−0.381614	+	0.404487i	0.507884	+	0.861425i	$0.330428\pi$
$678$	−13.0735	+	16.2200i	−0.502086	+	0.622925i
$679$	−3.34966	−	57.5114i	−0.128548	−	2.20708i
$680$	4.92061	+	11.4073i	0.188697	+	0.437448i
$681$	0.578039	−	2.67293i	0.0221505	−	0.102427i
$682$	1.78839	−	30.7055i	0.0684810	−	1.17577i
$683$	6.62975	−	2.41303i	0.253681	−	0.0923322i	−0.212050	−	0.977259i	$-0.568014\pi$
$683$	6.62975	−	2.41303i	0.253681	−	0.0923322i	0.465730	+	0.884927i	$0.345792\pi$
$684$	−13.2488	−	12.9766i	−0.506580	−	0.496172i
$685$	35.6805	+	12.9866i	1.36328	+	0.496194i
$686$	−4.35009	+	10.0846i	−0.166087	+	0.385033i
$687$	−0.363142	+	3.74671i	−0.0138547	+	0.142946i
$688$	9.05648	−	2.14642i	0.345275	−	0.0818317i
$689$	−39.9958	+	9.47918i	−1.52372	+	0.361128i
$690$	20.8782	−	9.49890i	0.794819	−	0.361617i
$691$	−6.95435	+	16.1220i	−0.264556	+	0.613310i	−0.997774	−	0.0666837i	$-0.978758\pi$
$691$	−6.95435	+	16.1220i	−0.264556	+	0.613310i	0.733218	+	0.679993i	$0.238017\pi$
$692$	−4.13146	−	1.50373i	−0.157054	−	0.0571631i
$693$	−24.3482	+	35.5526i	−0.924912	+	1.35053i
$694$	13.0816	−	4.76130i	0.496569	−	0.180736i
$695$	0.997825	−	17.1320i	0.0378497	−	0.649854i
$696$	2.78073	+	2.52165i	0.105403	+	0.0955829i
$697$	3.73008	+	8.64730i	0.141287	+	0.327540i
$698$	1.81053	+	31.0856i	0.0685296	+	1.17661i
$699$	−19.0417	−	2.97141i	−0.720224	−	0.112389i
$700$	11.9843	−	12.7026i	0.452965	−	0.480115i
$701$	−23.1679	−	40.1279i	−0.875038	−	1.51561i	−0.856722	−	0.515778i	$-0.827503\pi$
$701$	−23.1679	−	40.1279i	−0.875038	−	1.51561i	−0.0183163	−	0.999832i	$-0.505831\pi$
$702$	0.936859	+	15.8063i	0.0353595	+	0.596569i
$703$	10.4610	−	18.1190i	0.394544	−	0.683370i
$704$	1.26342	+	4.22011i	0.0476169	+	0.159051i
$705$	−0.243808	−	12.3531i	−0.00918232	−	0.465244i
$706$	20.9576	−	13.7840i	0.788748	−	0.518768i
$707$	6.56781	+	0.767667i	0.247008	+	0.0288711i
$708$	−2.18131	−	15.9294i	−0.0819786	−	0.598665i
$709$	46.3244	−	23.2650i	1.73975	−	0.873735i	0.767075	−	0.641557i	$-0.221711\pi$
$709$	46.3244	−	23.2650i	1.73975	−	0.873735i	0.972673	−	0.232177i	$-0.0745850\pi$
$710$	1.52753	−	8.66304i	0.0573271	−	0.325118i
$711$	1.64273	−	4.26345i	0.0616074	−	0.159892i
$712$	0.134412	+	0.762287i	0.00503729	+	0.0285679i
$713$	−17.1581	−	23.0473i	−0.642574	−	0.863127i
$714$	−21.7362	+	1.69694i	−0.813456	+	0.0635063i
$715$	29.6445	+	31.4213i	1.10864	+	1.17509i
$716$	−3.24930	+	10.8534i	−0.121432	+	0.405611i
$717$	4.12774	+	16.0022i	0.154153	+	0.597615i
$718$	1.27141	−	0.148607i	0.0474486	−	0.00554595i
$719$	3.71615	−	3.11822i	0.138589	−	0.116290i	−0.570858	−	0.821049i	$-0.693389\pi$
$719$	3.71615	−	3.11822i	0.138589	−	0.116290i	0.709447	+	0.704759i	$0.248945\pi$
$720$	1.29998	−	9.56627i	0.0484475	−	0.356514i
$721$	3.41584	+	2.86623i	0.127213	+	0.106744i
$722$	16.0527	+	10.5580i	0.597420	+	0.392929i
$723$	−3.35692	−	6.36769i	−0.124845	−	0.236817i
$724$	9.70896	−	13.0414i	0.360831	−	0.484680i
$725$	−10.3731	−	5.20956i	−0.385247	−	0.193478i
$726$	9.57649	+	10.9659i	0.355417	+	0.406982i
$727$	7.25977	+	1.72060i	0.269250	+	0.0638135i	0.363023	−	0.931780i	$-0.381745\pi$
$727$	7.25977	+	1.72060i	0.269250	+	0.0638135i	−0.0937729	+	0.995594i	$0.529893\pi$
$728$	−9.93596			−0.368251
$729$	10.6433	−	24.8137i	0.394198	−	0.919026i
$730$	32.4062			1.19941
$731$	34.9623	+	8.28623i	1.29313	+	0.306477i
$732$	10.4915	+	12.0137i	0.387778	+	0.444038i
$733$	−17.1007	−	8.58830i	−0.631630	−	0.317216i	0.104023	−	0.994575i	$-0.466828\pi$
$733$	−17.1007	−	8.58830i	−0.631630	−	0.317216i	−0.735653	+	0.677359i	$0.763125\pi$
$734$	21.4623	−	28.8289i	0.792189	−	1.06409i
$735$	9.43996	+	17.9065i	0.348198	+	0.660491i
$736$	3.43819	+	2.26134i	0.126734	+	0.0833539i
$737$	−21.5820	−	18.1094i	−0.794983	−	0.667070i
$738$	0.985455	−	7.25174i	0.0362751	−	0.266940i
$739$	6.44606	−	5.40889i	0.237122	−	0.198969i	−0.516481	−	0.856299i	$-0.672758\pi$
$739$	6.44606	−	5.40889i	0.237122	−	0.198969i	0.753603	+	0.657329i	$0.228314\pi$
$740$	10.8179	−	1.26443i	0.397673	−	0.0464813i
$741$	−8.14933	−	31.5930i	−0.299373	−	1.16060i
$742$	−12.6141	+	42.1341i	−0.463079	+	1.54679i
$743$	19.7983	+	20.9849i	0.726328	+	0.769863i	0.980335	−	0.197340i	$-0.0632302\pi$
$743$	19.7983	+	20.9849i	0.726328	+	0.769863i	−0.254007	+	0.967202i	$0.581749\pi$
$744$	−12.0567	+	0.941265i	−0.442021	+	0.0345084i
$745$	−5.52645	−	7.42331i	−0.202473	−	0.271969i
$746$	−0.226694	−	1.28565i	−0.00829986	−	0.0470708i
$747$	−16.1381	+	41.8839i	−0.590463	+	1.53245i
$748$	−2.95308	+	16.7477i	−0.107975	+	0.612357i
$749$	7.00209	−	3.51658i	0.255851	−	0.128493i
$750$	0.269163	+	1.96562i	0.00982845	+	0.0717742i
$751$	−4.27226	−	0.499356i	−0.155897	−	0.0182218i	0.0377863	−	0.999286i	$-0.487969\pi$
$751$	−4.27226	−	0.499356i	−0.155897	−	0.0182218i	−0.193683	+	0.981064i	$0.562043\pi$
$752$	1.85201	−	1.21809i	0.0675360	−	0.0444191i
$753$	0.636821	+	32.2660i	0.0232070	+	1.17584i
$754$	1.89412	+	6.32679i	0.0689796	+	0.230408i
$755$	−33.9015	+	58.7191i	−1.23380	+	2.13701i
$756$	15.1483	+	7.58836i	0.550940	+	0.275986i
$757$	11.7207	+	20.3008i	0.425995	+	0.737845i	0.996513	−	0.0834406i	$-0.0265909\pi$
$757$	11.7207	+	20.3008i	0.425995	+	0.737845i	−0.570518	+	0.821285i	$0.693258\pi$
$758$	−22.8966	+	24.2690i	−0.831641	+	0.881488i
$759$	31.0234	+	4.84112i	1.12608	+	0.175722i
$760$	1.15668	+	19.8595i	0.0419573	+	0.720380i
$761$	4.82421	+	11.1838i	0.174877	+	0.405411i	0.983001	−	0.183602i	$-0.0587758\pi$
$761$	4.82421	+	11.1838i	0.174877	+	0.405411i	−0.808123	+	0.589013i	$0.799517\pi$
$762$	9.78652	+	8.87470i	0.354528	+	0.321496i
$763$	0.921339	−	15.8188i	0.0333547	−	0.572678i
$764$	7.03069	−	2.55896i	0.254362	−	0.0925800i
$765$	21.0591	−	30.7499i	0.761392	−	1.11176i
$766$	−1.14458	−	0.416592i	−0.0413552	−	0.0150521i
$767$	11.2038	−	25.9734i	0.404546	−	0.937844i
$768$	1.57655	−	0.717280i	0.0568888	−	0.0258826i
$769$	−48.7152	+	11.5457i	−1.75671	+	0.416349i	−0.977589	−	0.210520i	$-0.932484\pi$
$769$	−48.7152	+	11.5457i	−1.75671	+	0.416349i	−0.779125	+	0.626869i	$0.784336\pi$
$770$	44.9771	−	10.6598i	1.62086	−	0.384151i
$771$	−2.80798	+	28.9712i	−0.101127	+	1.04337i
$772$	4.87667	−	11.3054i	0.175515	−	0.406890i
$773$	−32.0273	−	11.6570i	−1.15194	−	0.419272i	−0.305729	−	0.952119i	$-0.598900\pi$
$773$	−32.0273	−	11.6570i	−1.15194	−	0.419272i	−0.846212	+	0.532846i	$0.821122\pi$
$774$	−19.9477	−	19.5379i	−0.717007	−	0.702275i
$775$	35.1406	−	12.7902i	1.26229	−	0.459436i
$776$	−1.02730	+	17.6381i	−0.0368781	+	0.633173i
$777$	−4.04016	+	18.6823i	−0.144940	+	0.670224i
$778$	−5.48261	−	12.7101i	−0.196561	−	0.455680i
$779$	0.876828	+	15.0546i	0.0314156	+	0.539386i
$780$	10.6589	−	13.2241i	0.381648	−	0.473500i
$781$	8.26350	−	8.75880i	0.295691	−	0.313414i
$782$	7.94331	+	13.7582i	0.284052	+	0.491993i
$783$	1.94417	−	11.0924i	0.0694790	−	0.396409i
$784$	−1.81584	+	3.14512i	−0.0648513	+	0.112326i
$785$	−12.7595	−	42.6196i	−0.455405	−	1.52116i
$786$	28.3386	−	17.1156i	1.01080	−	0.610494i
$787$	−44.9910	+	29.5910i	−1.60376	+	1.05481i	−0.647586	+	0.761993i	$0.724221\pi$
$787$	−44.9910	+	29.5910i	−1.60376	+	1.05481i	−0.956169	+	0.292814i	$0.905408\pi$
$788$	−4.55843	−	0.532804i	−0.162387	−	0.0189803i
$789$	21.1302	+	8.62423i	0.752256	+	0.307031i
$790$	−4.37978	+	2.19961i	−0.155825	+	0.0782585i
$791$	−6.81017	+	38.6224i	−0.242142	+	1.37325i
$792$	8.68268	−	9.96298i	0.308526	−	0.354019i
$793$	4.87279	+	27.6350i	0.173038	+	0.981347i
$794$	−19.7430	−	26.5194i	−0.700652	−	0.941139i
$795$	−42.5460	−	61.9882i	−1.50895	−	2.19849i
$796$	6.69317	+	7.09435i	0.237233	+	0.251453i
$797$	−6.40460	+	21.3929i	−0.226863	+	0.757774i	0.766448	+	0.642306i	$0.222022\pi$
$797$	−6.40460	+	21.3929i	−0.226863	+	0.757774i	−0.993311	+	0.115468i	$0.963163\pi$
$798$	−33.6361	−	9.35086i	−1.19070	−	0.331017i
$799$	8.49961	−	0.993462i	0.300695	−	0.0351462i
$800$	−4.10289	+	3.44273i	−0.145059	+	0.121719i
$801$	1.71858	−	1.56167i	0.0607230	−	0.0551789i
$802$	−11.6312	−	9.75975i	−0.410712	−	0.344629i
$803$	37.0627	+	24.3765i	1.30791	+	0.860228i
$804$	−5.90328	+	9.37329i	−0.208193	+	0.330570i
$805$	25.7855	−	34.6359i	0.908819	−	1.22076i
$806$	−19.0133	−	9.54882i	−0.669713	−	0.336343i
$807$	14.1276	−	2.77957i	0.497314	−	0.0978457i
$808$	−1.97333	−	0.467687i	−0.0694214	−	0.0164532i
$809$	11.9024			0.418468			0.209234	−	0.977866i	$-0.432903\pi$
$809$	11.9024			0.418468			0.209234	+	0.977866i	$0.432903\pi$
$810$	−26.3501	+	12.0210i	−0.925847	+	0.422376i
$811$	−31.5707			−1.10860			−0.554298	−	0.832318i	$-0.687013\pi$
$811$	−31.5707			−1.10860			−0.554298	+	0.832318i	$0.687013\pi$
$812$	6.87618	+	1.62968i	0.241306	+	0.0571907i
$813$	−16.0346	+	46.9150i	−0.562356	+	1.64538i
$814$	13.3234	+	6.69128i	0.466986	+	0.234529i
$815$	−1.05462	+	1.41660i	−0.0369417	+	0.0496214i
$816$	6.68161	+	0.256992i	0.233903	+	0.00899651i
$817$	48.0701	+	31.6162i	1.68176	+	1.10611i
$818$	21.5962	+	18.1214i	0.755093	+	0.633598i
$819$	15.9109	+	25.2062i	0.555973	+	0.880776i
$820$	−6.01372	+	5.04611i	−0.210008	+	0.176218i
$821$	−47.2505	+	5.52280i	−1.64906	+	0.192747i	−0.889256	−	0.457411i	$-0.848777\pi$
$821$	−47.2505	+	5.52280i	−1.64906	+	0.192747i	−0.759799	+	0.650157i	$0.774703\pi$
$822$	14.5855	−	14.3151i	0.508727	−	0.499297i
$823$	5.20634	−	17.3904i	0.181482	−	0.606191i	−0.818037	−	0.575166i	$-0.804938\pi$
$823$	5.20634	−	17.3904i	0.181482	−	0.606191i	0.999519	−	0.0310254i	$-0.00987728\pi$
$824$	−0.938470	−	0.994720i	−0.0326931	−	0.0346527i
$825$	−17.6163	+	36.8738i	−0.613322	+	1.28378i
$826$	−18.0744	−	24.2782i	−0.628890	−	0.844746i
$827$	−2.95612	−	16.7650i	−0.102794	−	0.582976i	−0.992078	−	0.125621i	$-0.959908\pi$
$827$	−2.95612	−	16.7650i	−0.102794	−	0.582976i	0.889284	−	0.457356i	$-0.151203\pi$
$828$	0.230967	−	12.3434i	0.00802667	−	0.428964i
$829$	−1.20951	+	6.85945i	−0.0420079	+	0.238238i	−0.998581	−	0.0532540i	$-0.983041\pi$
$829$	−1.20951	+	6.85945i	−0.0420079	+	0.238238i	0.956573	+	0.291492i	$0.0941518\pi$
$830$	43.0267	−	21.6088i	1.49348	−	0.750053i
$831$	0.412204	−	0.319708i	0.0142992	−	0.0110905i
$832$	3.02665	+	0.353765i	0.104930	+	0.0122646i
$833$	−11.7135	+	7.70412i	−0.405850	+	0.266932i
$834$	−8.08865	−	4.45953i	−0.280087	−	0.154421i
$835$	−13.3987	−	44.7547i	−0.463680	−	1.54880i
$836$	−13.6158	+	23.5832i	−0.470911	+	0.815642i
$837$	21.6949	+	29.0790i	0.749884	+	1.00512i
$838$	−8.06405	−	13.9674i	−0.278568	−	0.482494i
$839$	8.43030	−	8.93560i	0.291046	−	0.308491i	−0.565308	−	0.824880i	$-0.691243\pi$
$839$	8.43030	−	8.93560i	0.291046	−	0.308491i	0.856354	+	0.516389i	$0.172724\pi$
$840$	−6.55174	−	16.9522i	−0.226057	−	0.584907i
$841$	1.41309	+	24.2618i	0.0487272	+	0.836614i
$842$	1.38108	+	3.20169i	0.0475950	+	0.110338i
$843$	10.0982	−	3.24165i	0.347799	−	0.111648i
$844$	−0.920700	+	15.8078i	−0.0316918	+	0.544127i
$845$	−11.2318	+	4.08803i	−0.386384	+	0.140632i
$846$	−6.05585	−	2.74773i	−0.208204	−	0.0944689i
$847$	25.7545	+	9.37386i	0.884934	+	0.322090i
$848$	5.34263	−	12.3856i	0.183467	−	0.425323i
$849$	2.94086	+	2.10049i	0.100930	+	0.0720885i
$850$	−20.1192	+	4.76833i	−0.690082	+	0.163552i
$851$	13.5524	−	3.21198i	0.464571	−	0.110105i
$852$	−3.85279	−	2.75182i	−0.131995	−	0.0942760i
$853$	−13.7300	+	31.8296i	−0.470105	+	1.08983i	0.503995	+	0.863707i	$0.331863\pi$
$853$	−13.7300	+	31.8296i	−0.470105	+	1.08983i	−0.974100	+	0.226119i	$0.927396\pi$
$854$	28.2153	+	10.2695i	0.965508	+	0.351416i
$855$	48.5286	−	34.7363i	1.65964	−	1.18796i
$856$	−2.25816	+	0.821902i	−0.0771822	+	0.0280920i
$857$	1.13809	−	19.5402i	0.0388763	−	0.667480i	−0.921432	−	0.388539i	$-0.872980\pi$
$857$	1.13809	−	19.5402i	0.0388763	−	0.667480i	0.960308	−	0.278940i	$-0.0899832\pi$
$858$	22.1378	−	7.10655i	0.755773	−	0.242614i
$859$	−9.81849	−	22.7618i	−0.335003	−	0.776624i	−0.999568	−	0.0293933i	$-0.990642\pi$
$859$	−9.81849	−	22.7618i	−0.335003	−	0.776624i	0.664565	−	0.747230i	$-0.268617\pi$
$860$	1.74154	+	29.9010i	0.0593859	+	1.01962i
$861$	−4.96657	−	12.8507i	−0.169260	−	0.437950i
$862$	−12.8151	+	13.5832i	−0.436483	+	0.462645i
$863$	3.89087	+	6.73919i	0.132447	+	0.229405i	0.924619	−	0.380893i	$-0.124383\pi$
$863$	3.89087	+	6.73919i	0.132447	+	0.229405i	−0.792172	+	0.610297i	$0.791050\pi$
$864$	−4.34424	−	2.85088i	−0.147794	−	0.0969890i
$865$	7.07428	−	12.2530i	0.240533	−	0.416615i
$866$	−8.52953	−	28.4906i	−0.289845	−	0.968150i
$867$	−3.18026	−	1.75338i	−0.108007	−	0.0595478i
$868$	−19.0208	+	12.5102i	−0.645609	+	0.424623i
$869$	−6.66369	−	0.778873i	−0.226050	−	0.0264215i
$870$	−9.54546	+	7.40351i	−0.323621	+	0.251002i
$871$	−17.4158	+	8.74653i	−0.590111	+	0.296365i
$872$	−0.843874	+	4.78585i	−0.0285772	+	0.162069i
$873$	46.3907	−	25.6386i	1.57009	−	0.867737i
$874$	4.41743	+	25.0525i	0.149422	+	0.847413i
$875$	2.23030	+	2.99581i	0.0753978	+	0.101277i
$876$	7.51882	−	15.7381i	0.254038	−	0.531741i
$877$	−22.7695	−	24.1343i	−0.768872	−	0.814957i	0.218087	−	0.975929i	$-0.430018\pi$
$877$	−22.7695	−	24.1343i	−0.768872	−	0.814957i	−0.986959	+	0.160972i	$0.948537\pi$
$878$	−0.856918	+	2.86231i	−0.0289196	+	0.0965982i
$879$	29.9170	−	29.3624i	1.00907	−	0.990369i
$880$	−14.0803	+	1.64575i	−0.474646	+	0.0554782i
$881$	1.49147	−	1.25149i	0.0502490	−	0.0421639i	−0.617317	−	0.786714i	$-0.711781\pi$
$881$	1.49147	−	1.25149i	0.0502490	−	0.0421639i	0.667566	+	0.744550i	$0.267336\pi$
$882$	10.8865	−	0.429893i	0.366569	−	0.0144753i
$883$	−2.04946	−	1.71970i	−0.0689699	−	0.0578726i	0.607651	−	0.794204i	$-0.292112\pi$
$883$	−2.04946	−	1.71970i	−0.0689699	−	0.0578726i	−0.676621	+	0.736332i	$0.736556\pi$
$884$	9.82858	+	6.46436i	0.330571	+	0.217420i
$885$	51.7021	+	1.98860i	1.73795	+	0.0668459i
$886$	−14.8994	+	20.0133i	−0.500554	+	0.672361i
$887$	−44.8025	−	22.5007i	−1.50432	−	0.755499i	−0.509826	−	0.860278i	$-0.670290\pi$
$887$	−44.8025	−	22.5007i	−1.50432	−	0.755499i	−0.994496	+	0.104779i	$0.966586\pi$
$888$	1.89587	−	5.54708i	0.0636213	−	0.186148i
$889$	24.2000	+	5.73551i	0.811643	+	0.192363i
$890$	−2.49093			−0.0834962
$891$	−39.1787	−	6.07263i	−1.31254	−	0.203441i
$892$	13.1869			0.441529
$893$	13.3336	+	3.16011i	0.446191	+	0.105749i
$894$	−4.88737	+	0.961582i	−0.163458	+	0.0321601i
$895$	−32.5806	−	16.3626i	−1.08905	−	0.546941i
$896$	1.94711	−	2.61542i	0.0650484	−	0.0873751i
$897$	11.5749	−	18.3788i	0.386476	−	0.613650i
$898$	−17.5032	−	11.5121i	−0.584091	−	0.384163i
$899$	11.5919	+	9.72678i	0.386612	+	0.324406i
$900$	15.3039	+	4.89547i	0.510130	+	0.163182i
$901$	39.8903	−	33.4720i	1.32894	−	1.11511i
$902$	−10.6736	+	1.24757i	−0.355392	+	0.0415394i
$903$	−50.6434	−	14.0789i	−1.68531	−	0.468517i
$904$	3.44962	−	11.5225i	0.114733	−	0.383234i
$905$	35.9050	+	38.0571i	1.19352	+	1.26506i
$906$	20.6512	+	30.0882i	0.686090	+	0.999612i
$907$	7.03425	+	9.44864i	0.233568	+	0.313737i	0.903419	−	0.428759i	$-0.141049\pi$
$907$	7.03425	+	9.44864i	0.233568	+	0.313737i	−0.669850	+	0.742496i	$0.733642\pi$
$908$	0.274172	+	1.55491i	0.00909871	+	0.0516014i
$909$	1.97352	+	5.75500i	0.0654576	+	0.190881i
$910$	5.55233	−	31.4888i	0.184058	−	1.04384i
$911$	22.1702	−	11.1343i	0.734532	−	0.368896i	−0.0418788	−	0.999123i	$-0.513334\pi$
$911$	22.1702	−	11.1343i	0.734532	−	0.368896i	0.776411	+	0.630227i	$0.217038\pi$
$912$	9.91315	+	4.04602i	0.328257	+	0.133977i
$913$	65.4637	+	7.65161i	2.16653	+	0.253231i
$914$	−11.6809	+	7.68268i	−0.386371	+	0.254121i
$915$	−43.9362	+	26.5361i	−1.45249	+	0.877257i
$916$	−0.623309	−	2.08200i	−0.0205947	−	0.0687912i
$917$	31.1616	−	53.9734i	1.02905	−	1.78236i
$918$	−10.0476	−	17.3619i	−0.331621	−	0.573027i
$919$	−8.30473	−	14.3842i	−0.273948	−	0.474491i	0.695921	−	0.718118i	$-0.254996\pi$
$919$	−8.30473	−	14.3842i	−0.273948	−	0.474491i	−0.969869	+	0.243627i	$0.921663\pi$
$920$	−9.08787	+	9.63258i	−0.299618	+	0.317577i
$921$	−27.3245	+	33.9007i	−0.900372	+	1.11707i
$922$	−0.398797	−	6.84708i	−0.0131337	−	0.225497i
$923$	−3.29925	−	7.64853i	−0.108596	−	0.251754i
$924$	5.25857	−	24.3164i	0.172994	−	0.799951i
$925$	−1.05400	+	18.0965i	−0.0346553	+	0.595009i
$926$	19.9471	−	7.26014i	0.655501	−	0.238583i
$927$	−1.02066	+	3.97366i	−0.0335227	+	0.130512i
$928$	−2.03657	−	0.741251i	−0.0668537	−	0.0243327i
$929$	8.49067	−	19.6836i	0.278570	−	0.645798i	−0.720283	−	0.693680i	$-0.755988\pi$
$929$	8.49067	−	19.6836i	0.278570	−	0.645798i	0.998853	+	0.0478827i	$0.0152474\pi$
$930$	3.75440	−	38.7359i	0.123112	−	1.27020i
$931$	−21.8448	+	5.17732i	−0.715935	+	0.169680i
$932$	10.8269	−	2.56601i	0.354646	−	0.0840526i
$933$	−37.4347	+	17.0316i	−1.22556	+	0.557589i
$934$	3.12180	−	7.23714i	0.102148	−	0.236806i
$935$	−51.4263	−	18.7176i	−1.68182	−	0.612132i
$936$	−3.94927	−	8.24472i	−0.129086	−	0.269487i
$937$	−1.01469	+	0.369316i	−0.0331484	+	0.0120650i	−0.358541	−	0.933514i	$-0.616726\pi$
$937$	−1.01469	+	0.369316i	−0.0331484	+	0.0120650i	0.325393	+	0.945579i	$0.394503\pi$
$938$	−1.21251	+	20.8180i	−0.0395900	+	0.679733i
$939$	−34.2521	−	31.0608i	−1.11777	−	1.01363i
$940$	2.82541	+	6.55004i	0.0921548	+	0.213639i
$941$	0.481723	+	8.27086i	0.0157037	+	0.269622i	0.997016	+	0.0771990i	$0.0245977\pi$
$941$	0.481723	+	8.27086i	0.0157037	+	0.269622i	−0.981312	+	0.192423i	$0.938365\pi$
$942$	−23.6587	−	3.69187i	−0.770841	−	0.120288i
$943$	−6.88909	+	7.30201i	−0.224340	+	0.237786i
$944$	4.64135	+	8.03905i	0.151063	+	0.261649i
$945$	−32.5139	+	43.7673i	−1.05768	+	1.42375i
$946$	−20.5003	+	35.5075i	−0.666521	+	1.15445i
$947$	14.0339	+	46.8766i	0.456042	+	1.52329i	0.809092	+	0.587682i	$0.199959\pi$
$947$	14.0339	+	46.8766i	0.456042	+	1.52329i	−0.353050	+	0.935604i	$0.614855\pi$
$948$	0.0520531	+	2.63739i	0.00169061	+	0.0856584i
$949$	25.6379	−	16.8623i	0.832242	−	0.547374i
$950$	−32.8850	−	3.84371i	−1.06693	−	0.124706i
$951$	1.03463	+	7.55561i	0.0335503	+	0.245008i
$952$	11.2487	−	5.64929i	0.364571	−	0.183095i
$953$	−5.08841	+	28.8578i	−0.164830	+	0.934796i	0.784410	+	0.620243i	$0.212966\pi$
$953$	−5.08841	+	28.8578i	−0.164830	+	0.934796i	−0.949240	+	0.314553i	$0.898145\pi$
$954$	−39.9760	+	6.28011i	−1.29427	+	0.203326i
$955$	4.18097	+	23.7115i	0.135293	+	0.767285i
$956$	−5.69768	−	7.65331i	−0.184276	−	0.247526i
$957$	−16.4861	+	1.28706i	−0.532919	+	0.0416049i
$958$	−7.95153	−	8.42813i	−0.256902	−	0.272301i
$959$	11.0341	−	36.8563i	0.356308	−	1.19015i
$960$	1.39219	+	5.39719i	0.0449328	+	0.174193i
$961$	−17.6302	+	2.06067i	−0.568716	+	0.0664733i
$962$	7.90055	−	6.62934i	0.254724	−	0.213739i
$963$	5.70114	+	4.41249i	0.183717	+	0.142191i
$964$	3.18366	+	2.67141i	0.102539	+	0.0860403i
$965$	33.1037	+	21.7726i	1.06564	+	0.700885i
$966$	−10.8383	−	20.5589i	−0.348715	−	0.661472i
$967$	−1.37664	+	1.84915i	−0.0442698	+	0.0594647i	−0.823707	−	0.567016i	$-0.808098\pi$
$967$	−1.37664	+	1.84915i	−0.0442698	+	0.0594647i	0.779437	+	0.626481i	$0.215505\pi$
$968$	−7.51147	−	3.77240i	−0.241428	−	0.121250i
$969$	27.1888	+	31.1335i	0.873431	+	1.00015i
$970$	−55.3243	−	13.1121i	−1.77636	−	0.421004i
$971$	−10.8401			−0.347875			−0.173937	−	0.984757i	$-0.555649\pi$
$971$	−10.8401			−0.347875			−0.173937	+	0.984757i	$0.555649\pi$
$972$	−0.275670	+	15.5860i	−0.00884212	+	0.499922i
$973$	−17.3880			−0.557434
$974$	−7.86473	−	1.86398i	−0.252002	−	0.0597257i
$975$	18.5945	+	21.2923i	0.595502	+	0.681899i
$976$	−8.22920	−	4.13286i	−0.263410	−	0.132290i
$977$	2.29087	−	3.07717i	0.0732913	−	0.0984474i	−0.763966	−	0.645257i	$-0.776750\pi$
$977$	2.29087	−	3.07717i	0.0732913	−	0.0984474i	0.837257	+	0.546809i	$0.184158\pi$
$978$	0.443282	+	0.840854i	0.0141746	+	0.0268875i
$979$	−2.84885	−	1.87372i	−0.0910498	−	0.0598844i
$980$	−8.95273	−	7.51223i	−0.285984	−	0.239969i
$981$	13.4924	−	5.52300i	0.430779	−	0.176336i
$982$	−8.40557	+	7.05311i	−0.268232	+	0.225074i
$983$	−15.9853	+	1.86841i	−0.509851	+	0.0595930i	−0.367129	−	0.930170i	$-0.619659\pi$
$983$	−15.9853	+	1.86841i	−0.509851	+	0.0595930i	−0.142722	+	0.989763i	$0.545585\pi$
$984$	1.05536	+	4.09136i	0.0336435	+	0.130428i
$985$	4.23585	−	14.1487i	0.134965	−	0.450815i
$986$	−5.74158	−	6.08572i	−0.182849	−	0.193809i
$987$	−12.4809	+	0.974381i	−0.397272	+	0.0310149i
$988$	11.2488	+	15.1098i	0.357873	+	0.480707i
$989$	6.65100	+	37.7197i	0.211489	+	1.19942i
$990$	26.7224	+	33.0844i	0.849295	+	1.05149i
$991$	−3.99953	+	22.6825i	−0.127049	+	0.720532i	0.853020	+	0.521878i	$0.174768\pi$
$991$	−3.99953	+	22.6825i	−0.127049	+	0.720532i	−0.980070	+	0.198654i	$0.936343\pi$
$992$	6.23946	−	3.13358i	0.198103	−	0.0994911i
$993$	1.98461	+	14.4930i	0.0629798	+	0.459923i
$994$	−8.85275	−	1.03474i	−0.280792	−	0.0328199i
$995$	−26.2235	+	17.2474i	−0.831339	+	0.546781i
$996$	−0.511366	−	25.9096i	−0.0162033	−	0.820976i
$997$	−10.2739	−	34.3173i	−0.325379	−	1.08684i	−0.951637	−	0.307225i	$-0.900600\pi$
$997$	−10.2739	−	34.3173i	−0.325379	−	1.08684i	0.626258	−	0.779616i	$-0.284586\pi$
$998$	13.3475	−	23.1185i	0.422506	−	0.731803i
$999$	−17.1081	+	4.07322i	−0.541278	+	0.128871i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	162.2.g.a.97.1	✓	72
3.2	odd	2		486.2.g.a.451.4		72
81.5	odd	54		486.2.g.a.361.4		72
81.76	even	27	inner	162.2.g.a.157.1	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
162.2.g.a.97.1	✓	72	1.1	even	1	trivial
162.2.g.a.157.1	yes	72	81.76	even	27	inner
486.2.g.a.361.4		72	81.5	odd	54
486.2.g.a.451.4		72	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 162 = 2 \cdot 3^{4} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	162.g (of order \(27\), degree \(18\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.973045 - 0.230616i) q^{2} +(-1.13931 - 1.30460i) q^{3} +(0.893633 + 0.448799i) q^{4} +(-1.92170 + 2.58128i) q^{5} +(0.807734 + 1.53218i) q^{6} +(2.72421 + 1.79174i) q^{7} +(-0.766044 - 0.642788i) q^{8} +(-0.403964 + 2.97268i) q^{9} +(2.46518 - 2.06853i) q^{10} +(4.37539 - 0.511409i) q^{11} +(-0.432617 - 1.67715i) q^{12} +(0.873963 - 2.91924i) q^{13} +(-2.23758 - 2.37169i) q^{14} +(5.55694 - 0.433829i) q^{15} +(0.597159 + 0.802123i) q^{16} +(0.670365 + 3.80183i) q^{17} +(1.07862 - 2.79939i) q^{18} +(-1.07344 + 6.08780i) q^{19} +(-2.87577 + 1.44426i) q^{20} +(-0.766203 - 5.59535i) q^{21} +(-4.37539 - 0.511409i) q^{22} +(-3.43819 + 2.26134i) q^{23} +(0.0341781 + 1.73171i) q^{24} +(-1.53610 - 5.13093i) q^{25} +(-1.52363 + 2.63900i) q^{26} +(4.33839 - 2.85978i) q^{27} +(1.63031 + 2.82378i) q^{28} +(1.48727 - 1.57642i) q^{29} +(-5.50720 - 0.859384i) q^{30} +(0.405975 + 6.97032i) q^{31} +(-0.396080 - 0.918216i) q^{32} +(-5.65209 - 5.12548i) q^{33} +(0.224467 - 3.85395i) q^{34} +(-9.86010 + 3.58878i) q^{35} +(-1.69513 + 2.47518i) q^{36} +(-3.18038 - 1.15757i) q^{37} +(2.44845 - 5.67615i) q^{38} +(-4.80415 + 2.18574i) q^{39} +(3.13132 - 0.742137i) q^{40} +(2.37371 - 0.562579i) q^{41} +(-0.544826 + 5.62123i) q^{42} +(3.68646 - 8.54617i) q^{43} +(4.13951 + 1.50666i) q^{44} +(-6.89703 - 6.75533i) q^{45} +(3.86702 - 1.40748i) q^{46} +(0.128889 - 2.21294i) q^{47} +(0.366104 - 1.69292i) q^{48} +(1.43843 + 3.33466i) q^{49} +(0.311420 + 5.34688i) q^{50} +(4.19612 - 5.20601i) q^{51} +(2.09116 - 2.21650i) q^{52} +(-6.74438 - 11.6816i) q^{53} +(-4.88096 + 1.78219i) q^{54} +(-7.08807 + 12.2769i) q^{55} +(-0.935158 - 3.12364i) q^{56} +(9.16513 - 5.53545i) q^{57} +(-1.81073 + 1.19094i) q^{58} +(9.21993 + 1.07766i) q^{59} +(5.16057 + 2.10627i) q^{60} +(-8.22920 + 4.13286i) q^{61} +(1.21243 - 6.87606i) q^{62} +(-6.42676 + 7.37441i) q^{63} +(0.173648 + 0.984808i) q^{64} +(5.85590 + 7.86584i) q^{65} +(4.31772 + 6.29078i) q^{66} +(-4.38886 - 4.65192i) q^{67} +(-1.10720 + 3.69830i) q^{68} +(6.86729 + 1.90912i) q^{69} +(10.4220 - 1.21815i) q^{70} +(2.09401 - 1.75708i) q^{71} +(2.22025 - 2.01754i) q^{72} +(7.71414 + 6.47293i) q^{73} +(2.82770 + 1.85981i) q^{74} +(-4.94373 + 7.84970i) q^{75} +(-3.69146 + 4.95850i) q^{76} +(12.8358 + 6.44638i) q^{77} +(5.17872 - 1.01890i) q^{78} +(-1.48194 - 0.351227i) q^{79} -3.21806 q^{80} +(-8.67363 - 2.40171i) q^{81} -2.43946 q^{82} +(14.5585 + 3.45043i) q^{83} +(1.82648 - 5.34406i) q^{84} +(-11.1018 - 5.57556i) q^{85} +(-5.55797 + 7.46565i) q^{86} +(-3.75105 - 0.144275i) q^{87} +(-3.68047 - 2.42068i) q^{88} +(-0.592954 - 0.497547i) q^{89} +(5.15324 + 8.16380i) q^{90} +(7.61139 - 6.38671i) q^{91} +(-4.08737 + 0.477745i) q^{92} +(8.63095 - 8.47096i) q^{93} +(-0.635753 + 2.12356i) q^{94} +(-13.6515 - 14.4698i) q^{95} +(-0.746649 + 1.56285i) q^{96} +(-10.5506 - 14.1719i) q^{97} +(-0.630633 - 3.57650i) q^{98} +(-0.247243 + 13.2132i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q + 9 q^{6} + 18 q^{13} - 9 q^{20} - 81 q^{23} + 18 q^{25} - 27 q^{26} - 27 q^{27} + 18 q^{28} - 27 q^{29} - 63 q^{30} - 54 q^{31} + 9 q^{33} - 27 q^{35} - 9 q^{36} + 9 q^{38} - 9 q^{41} + 9 q^{42} + 36 q^{43}+ \cdots + 99 q^{99}+O(q^{100}) \) 72 * q + 9 * q^6 + 18 * q^13 - 9 * q^20 - 81 * q^23 + 18 * q^25 - 27 * q^26 - 27 * q^27 + 18 * q^28 - 27 * q^29 - 63 * q^30 - 54 * q^31 + 9 * q^33 - 27 * q^35 - 9 * q^36 + 9 * q^38 - 9 * q^41 + 9 * q^42 + 36 * q^43 - 117 * q^45 - 18 * q^46 - 27 * q^47 + 9 * q^48 - 27 * q^51 - 36 * q^52 - 27 * q^53 + 54 * q^55 + 27 * q^57 + 9 * q^58 - 18 * q^59 + 9 * q^63 + 9 * q^65 + 36 * q^66 - 135 * q^67 - 18 * q^68 + 108 * q^69 + 18 * q^70 + 72 * q^71 + 54 * q^72 + 36 * q^73 + 99 * q^74 - 36 * q^75 - 9 * q^76 + 144 * q^77 + 90 * q^78 - 9 * q^79 + 18 * q^80 - 72 * q^82 + 99 * q^83 + 18 * q^84 + 9 * q^85 + 72 * q^86 + 207 * q^87 - 9 * q^88 + 126 * q^89 - 18 * q^90 + 63 * q^91 + 36 * q^92 + 81 * q^93 + 18 * q^94 + 45 * q^95 - 171 * q^97 + 36 * q^98 + 99 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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