LMFDB - Embedded newform 462.2.w.a.365.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			365.9
Character	$\chi$	$=$	462.365
Dual form			462.2.w.a.281.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 - 0.951057i) q^{2} +(1.05133 + 1.37648i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-3.96252 + 1.28750i) q^{5} +(1.63399 - 0.574517i) q^{6} +(0.587785 - 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.789414 + 2.89427i) q^{9} +O(q^{10})$	\(q+(0.309017 - 0.951057i) q^{2} +(1.05133 + 1.37648i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-3.96252 + 1.28750i) q^{5} +(1.63399 - 0.574517i) q^{6} +(0.587785 - 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.789414 + 2.89427i) q^{9} +4.16644i q^{10} +(-3.18918 + 0.910569i) q^{11} +(-0.0414664 - 1.73155i) q^{12} +(-4.46362 - 1.45032i) q^{13} +(-0.587785 - 0.809017i) q^{14} +(-5.93814 - 4.10076i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.988832 - 3.04331i) q^{17} +(2.50868 + 1.64516i) q^{18} +(-1.33360 - 1.83554i) q^{19} +(3.96252 + 1.28750i) q^{20} +(1.73155 - 0.0414664i) q^{21} +(-0.119508 + 3.31447i) q^{22} +8.04432i q^{23} +(-1.65962 - 0.495643i) q^{24} +(9.99884 - 7.26459i) q^{25} +(-2.75867 + 3.79699i) q^{26} +(-4.81386 + 1.95622i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(-0.464346 - 0.337367i) q^{29} +(-5.73504 + 4.38030i) q^{30} +(-2.60220 + 8.00874i) q^{31} +1.00000 q^{32} +(-4.60626 - 3.43255i) q^{33} -3.19993 q^{34} +(-1.28750 + 3.96252i) q^{35} +(2.33986 - 1.87751i) q^{36} +(6.79832 + 4.93927i) q^{37} +(-2.15781 + 0.701116i) q^{38} +(-2.69640 - 7.66887i) q^{39} +(2.44897 - 3.37072i) q^{40} +(0.287729 - 0.209047i) q^{41} +(0.495643 - 1.65962i) q^{42} -8.99506i q^{43} +(3.11532 + 1.13789i) q^{44} +(-0.598313 - 12.4850i) q^{45} +(7.65061 + 2.48583i) q^{46} +(4.03748 + 5.55712i) q^{47} +(-0.984235 + 1.42523i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(-3.81922 - 11.7543i) q^{50} +(3.14948 - 4.56064i) q^{51} +(2.75867 + 3.79699i) q^{52} +(-4.78668 - 1.55529i) q^{53} +(0.372913 + 5.18275i) q^{54} +(11.4648 - 7.71422i) q^{55} +1.00000i q^{56} +(1.12454 - 3.76544i) q^{57} +(-0.464346 + 0.337367i) q^{58} +(-2.33803 + 3.21803i) q^{59} +(2.39369 + 6.80794i) q^{60} +(-7.60568 + 2.47123i) q^{61} +(6.81264 + 4.94967i) q^{62} +(1.87751 + 2.33986i) q^{63} +(0.309017 - 0.951057i) q^{64} +19.5545 q^{65} +(-4.68796 + 3.32010i) q^{66} +4.12657 q^{67} +(-0.988832 + 3.04331i) q^{68} +(-11.0729 + 8.45723i) q^{69} +(3.37072 + 2.44897i) q^{70} +(2.88091 - 0.936066i) q^{71} +(-1.06256 - 2.80552i) q^{72} +(-4.59010 + 6.31774i) q^{73} +(6.79832 - 4.93927i) q^{74} +(20.5117 + 6.12577i) q^{75} +2.26886i q^{76} +(-1.13789 + 3.11532i) q^{77} +(-8.12676 + 0.194616i) q^{78} +(0.592980 + 0.192671i) q^{79} +(-2.44897 - 3.37072i) q^{80} +(-7.75365 - 4.56956i) q^{81} +(-0.109903 - 0.338246i) q^{82} +(-2.61939 - 8.06164i) q^{83} +(-1.42523 - 0.984235i) q^{84} +(7.83654 + 10.7861i) q^{85} +(-8.55481 - 2.77963i) q^{86} +(-0.0238002 - 0.993849i) q^{87} +(2.04488 - 2.61122i) q^{88} -5.10387i q^{89} +(-12.0588 - 3.28905i) q^{90} +(-3.79699 + 2.75867i) q^{91} +(4.72833 - 6.50799i) q^{92} +(-13.7597 + 4.83794i) q^{93} +(6.53278 - 2.12263i) q^{94} +(7.64769 + 5.55637i) q^{95} +(1.05133 + 1.37648i) q^{96} +(-0.238457 + 0.733896i) q^{97} -1.00000 q^{98} +(-0.117854 - 9.94918i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{1}{10}\right)$

Coefficient data

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

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

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

$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$3$	1.05133	+	1.37648i	0.606985	+	0.794713i
$3$	1.05133	+	1.37648i	0.606985	+	0.794713i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−3.96252	+	1.28750i	−1.77209	+	0.575788i	−0.998334	−	0.0576908i	$-0.981626\pi$
$5$	−3.96252	+	1.28750i	−1.77209	+	0.575788i	−0.773760	+	0.633479i	$0.781626\pi$
$6$	1.63399	−	0.574517i	0.667075	−	0.234545i
$7$	0.587785	−	0.809017i	0.222162	−	0.305780i
$7$	0.587785	−	0.809017i	0.222162	−	0.305780i
$8$	−0.809017	+	0.587785i	−0.286031	+	0.207813i
$9$	−0.789414	+	2.89427i	−0.263138	+	0.964758i
$10$			4.16644i			1.31755i
$11$	−3.18918	+	0.910569i	−0.961574	+	0.274547i
$11$	−3.18918	+	0.910569i	−0.961574	+	0.274547i
$12$	−0.0414664	−	1.73155i	−0.0119703	−	0.499857i
$13$	−4.46362	−	1.45032i	−1.23799	−	0.402246i	−0.384385	−	0.923173i	$-0.625587\pi$
$13$	−4.46362	−	1.45032i	−1.23799	−	0.402246i	−0.853601	+	0.520927i	$0.825587\pi$
$14$	−0.587785	−	0.809017i	−0.157092	−	0.216219i
$15$	−5.93814	−	4.10076i	−1.53322	−	1.05881i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−0.988832	−	3.04331i	−0.239827	−	0.738112i	−0.996444	−	0.0842538i	$-0.973149\pi$
$17$	−0.988832	−	3.04331i	−0.239827	−	0.738112i	0.756617	−	0.653858i	$-0.226851\pi$
$18$	2.50868	+	1.64516i	0.591301	+	0.387767i
$19$	−1.33360	−	1.83554i	−0.305949	−	0.421103i	0.628163	−	0.778081i	$-0.283807\pi$
$19$	−1.33360	−	1.83554i	−0.305949	−	0.421103i	−0.934113	+	0.356979i	$0.883807\pi$
$20$	3.96252	+	1.28750i	0.886047	+	0.287894i
$21$	1.73155	−	0.0414664i	0.377856	−	0.00904872i
$22$	−0.119508	+	3.31447i	−0.0254792	+	0.706648i
$23$			8.04432i			1.67736i	0.544626	+	0.838679i	$0.316671\pi$
$23$			8.04432i			1.67736i	−0.544626	+	0.838679i	$0.683329\pi$
$24$	−1.65962	−	0.495643i	−0.338768	−	0.101173i
$25$	9.99884	−	7.26459i	1.99977	−	1.45292i
$26$	−2.75867	+	3.79699i	−0.541020	+	0.744650i
$27$	−4.81386	+	1.95622i	−0.926427	+	0.376475i
$28$	−0.951057	+	0.309017i	−0.179733	+	0.0583987i
$29$	−0.464346	−	0.337367i	−0.0862269	−	0.0626475i	0.543837	−	0.839191i	$-0.316971\pi$
$29$	−0.464346	−	0.337367i	−0.0862269	−	0.0626475i	−0.630063	+	0.776544i	$0.716971\pi$
$30$	−5.73504	+	4.38030i	−1.04707	+	0.799730i
$31$	−2.60220	+	8.00874i	−0.467368	+	1.43841i	0.388611	+	0.921402i	$0.372955\pi$
$31$	−2.60220	+	8.00874i	−0.467368	+	1.43841i	−0.855979	+	0.517010i	$0.827045\pi$
$32$	1.00000			0.176777
$33$	−4.60626	−	3.43255i	−0.801847	−	0.597529i
$34$	−3.19993			−0.548783
$35$	−1.28750	+	3.96252i	−0.217628	+	0.669789i
$36$	2.33986	−	1.87751i	0.389977	−	0.312919i
$37$	6.79832	+	4.93927i	1.11764	+	0.812010i	0.983849	−	0.179000i	$-0.0572861\pi$
$37$	6.79832	+	4.93927i	1.11764	+	0.812010i	0.133787	+	0.991010i	$0.457286\pi$
$38$	−2.15781	+	0.701116i	−0.350043	+	0.113736i
$39$	−2.69640	−	7.66887i	−0.431769	−	1.22800i
$40$	2.44897	−	3.37072i	0.387217	−	0.532958i
$41$	0.287729	−	0.209047i	0.0449357	−	0.0326477i	−0.565091	−	0.825029i	$-0.691159\pi$
$41$	0.287729	−	0.209047i	0.0449357	−	0.0326477i	0.610026	+	0.792381i	$0.291159\pi$
$42$	0.495643	−	1.65962i	0.0764793	−	0.256085i
$43$		−	8.99506i		−	1.37173i	−0.727727	−	0.685867i	$-0.759423\pi$
$43$		−	8.99506i		−	1.37173i	0.727727	−	0.685867i	$-0.240577\pi$
$44$	3.11532	+	1.13789i	0.469652	+	0.171543i
$45$	−0.598313	−	12.4850i	−0.0891912	−	1.86115i
$46$	7.65061	+	2.48583i	1.12802	+	0.366516i
$47$	4.03748	+	5.55712i	0.588927	+	0.810589i	0.994639	−	0.103412i	$-0.0329761\pi$
$47$	4.03748	+	5.55712i	0.588927	+	0.810589i	−0.405711	+	0.914001i	$0.632976\pi$
$48$	−0.984235	+	1.42523i	−0.142062	+	0.205714i
$49$	−0.309017	−	0.951057i	−0.0441453	−	0.135865i
$50$	−3.81922	−	11.7543i	−0.540119	−	1.66232i
$51$	3.14948	−	4.56064i	0.441016	−	0.638617i
$52$	2.75867	+	3.79699i	0.382559	+	0.526547i
$53$	−4.78668	−	1.55529i	−0.657501	−	0.213635i	−0.0387824	−	0.999248i	$-0.512348\pi$
$53$	−4.78668	−	1.55529i	−0.657501	−	0.213635i	−0.618719	+	0.785613i	$0.712348\pi$
$54$	0.372913	+	5.18275i	0.0507470	+	0.705283i
$55$	11.4648	−	7.71422i	1.54592	−	1.04019i
$56$			1.00000i			0.133631i
$57$	1.12454	−	3.76544i	0.148949	−	0.498745i
$58$	−0.464346	+	0.337367i	−0.0609716	+	0.0442985i
$59$	−2.33803	+	3.21803i	−0.304386	+	0.418951i	−0.933620	−	0.358264i	$-0.883369\pi$
$59$	−2.33803	+	3.21803i	−0.304386	+	0.418951i	0.629234	+	0.777216i	$0.283369\pi$
$60$	2.39369	+	6.80794i	0.309024	+	0.878901i
$61$	−7.60568	+	2.47123i	−0.973807	+	0.316409i	−0.752352	−	0.658761i	$-0.771081\pi$
$61$	−7.60568	+	2.47123i	−0.973807	+	0.316409i	−0.221455	+	0.975171i	$0.571081\pi$
$62$	6.81264	+	4.94967i	0.865206	+	0.628609i
$63$	1.87751	+	2.33986i	0.236544	+	0.294795i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	19.5545			2.42544
$66$	−4.68796	+	3.32010i	−0.577048	+	0.408676i
$67$	4.12657			0.504141			0.252071	−	0.967709i	$-0.418888\pi$
$67$	4.12657			0.504141			0.252071	+	0.967709i	$0.418888\pi$
$68$	−0.988832	+	3.04331i	−0.119914	+	0.369056i
$69$	−11.0729	+	8.45723i	−1.33302	+	1.01813i
$70$	3.37072	+	2.44897i	0.402879	+	0.292708i
$71$	2.88091	−	0.936066i	0.341902	−	0.111091i	−0.133033	−	0.991112i	$-0.542472\pi$
$71$	2.88091	−	0.936066i	0.341902	−	0.111091i	0.474935	+	0.880021i	$0.342472\pi$
$72$	−1.06256	−	2.80552i	−0.125224	−	0.330634i
$73$	−4.59010	+	6.31774i	−0.537231	+	0.739435i	−0.988211	−	0.153099i	$-0.951075\pi$
$73$	−4.59010	+	6.31774i	−0.537231	+	0.739435i	0.450980	+	0.892534i	$0.351075\pi$
$74$	6.79832	−	4.93927i	0.790288	−	0.574178i
$75$	20.5117	+	6.12577i	2.36848	+	0.707343i
$76$			2.26886i			0.260256i
$77$	−1.13789	+	3.11532i	−0.129674	+	0.355024i
$78$	−8.12676	+	0.194616i	−0.920174	+	0.0220359i
$79$	0.592980	+	0.192671i	0.0667154	+	0.0216772i	0.342185	−	0.939633i	$-0.388833\pi$
$79$	0.592980	+	0.192671i	0.0667154	+	0.0216772i	−0.275469	+	0.961310i	$0.588833\pi$
$80$	−2.44897	−	3.37072i	−0.273804	−	0.376858i
$81$	−7.75365	−	4.56956i	−0.861517	−	0.507729i
$82$	−0.109903	−	0.338246i	−0.0121367	−	0.0373530i
$83$	−2.61939	−	8.06164i	−0.287515	−	0.884880i	−0.985634	−	0.168898i	$-0.945979\pi$
$83$	−2.61939	−	8.06164i	−0.287515	−	0.884880i	0.698119	−	0.715982i	$-0.254021\pi$
$84$	−1.42523	−	0.984235i	−0.155505	−	0.107389i
$85$	7.83654	+	10.7861i	0.849992	+	1.16991i
$86$	−8.55481	−	2.77963i	−0.922489	−	0.299735i
$87$	−0.0238002	−	0.993849i	−0.00255165	−	0.106552i
$88$	2.04488	−	2.61122i	0.217985	−	0.278357i
$89$		−	5.10387i		−	0.541009i	−0.962719	−	0.270505i	$-0.912809\pi$
$89$		−	5.10387i		−	0.541009i	0.962719	−	0.270505i	$-0.0871905\pi$
$90$	−12.0588	−	3.28905i	−1.27111	−	0.346696i
$91$	−3.79699	+	2.75867i	−0.398032	+	0.289187i
$92$	4.72833	−	6.50799i	0.492963	−	0.678505i
$93$	−13.7597	+	4.83794i	−1.42681	+	0.501671i
$94$	6.53278	−	2.12263i	0.673805	−	0.218933i
$95$	7.64769	+	5.55637i	0.784637	+	0.570072i
$96$	1.05133	+	1.37648i	0.107301	+	0.140487i
$97$	−0.238457	+	0.733896i	−0.0242117	+	0.0745159i	−0.962432	−	0.271522i	$-0.912473\pi$
$97$	−0.238457	+	0.733896i	−0.0242117	+	0.0745159i	0.938221	+	0.346038i	$0.112473\pi$
$98$	−1.00000			−0.101015
$99$	−0.117854	−	9.94918i	−0.0118448	−	0.999930i
$100$	−12.3593			−1.23593
$101$	2.65416	−	8.16865i	0.264098	−	0.812811i	−0.727801	−	0.685788i	$-0.759458\pi$
$101$	2.65416	−	8.16865i	0.264098	−	0.812811i	0.991900	−	0.127023i	$-0.0405423\pi$
$102$	−3.36418	−	4.40465i	−0.333103	−	0.436125i
$103$	2.77907	+	2.01911i	0.273830	+	0.198949i	0.716222	−	0.697873i	$-0.245870\pi$
$103$	2.77907	+	2.01911i	0.273830	+	0.198949i	−0.442392	+	0.896822i	$0.645870\pi$
$104$	4.46362	−	1.45032i	0.437694	−	0.142216i
$105$	−6.80794	+	2.39369i	−0.664387	+	0.233600i
$106$	−2.95833	+	4.07179i	−0.287338	+	0.395487i
$107$	7.47360	−	5.42989i	0.722501	−	0.524927i	−0.164682	−	0.986347i	$-0.552660\pi$
$107$	7.47360	−	5.42989i	0.722501	−	0.524927i	0.887182	+	0.461419i	$0.152660\pi$
$108$	5.04433	+	1.24690i	0.485391	+	0.119983i
$109$			17.3017i			1.65720i	0.559840	+	0.828601i	$0.310863\pi$
$109$			17.3017i			1.65720i	−0.559840	+	0.828601i	$0.689137\pi$
$110$	−3.79383	−	13.2875i	−0.361728	−	1.26692i
$111$	0.348450	+	14.5506i	0.0330734	+	1.38108i
$112$	0.951057	+	0.309017i	0.0898664	+	0.0291994i
$113$	−1.06139	−	1.46088i	−0.0998475	−	0.137428i	0.756170	−	0.654375i	$-0.227068\pi$
$113$	−1.06139	−	1.46088i	−0.0998475	−	0.137428i	−0.856017	+	0.516947i	$0.827068\pi$
$114$	−3.23364	−	2.23309i	−0.302859	−	0.209148i
$115$	−10.3571	−	31.8758i	−0.965803	−	2.97244i
$116$	0.177364	+	0.545872i	0.0164679	+	0.0506829i
$117$	7.72127	−	11.7741i	0.713832	−	1.08851i
$118$	2.33803	+	3.21803i	0.215233	+	0.296243i
$119$	−3.04331	−	0.988832i	−0.278980	−	0.0906461i
$120$	7.21442	−	0.172768i	0.658584	−	0.0157715i
$121$	9.34173	−	5.80793i	0.849248	−	0.527994i
$122$			7.99708i			0.724022i
$123$	0.590248	+	0.176277i	0.0532209	+	0.0158943i
$124$	6.81264	−	4.94967i	0.611793	−	0.444494i
$125$	−18.0226	+	24.8060i	−1.61199	+	2.21872i
$126$	2.80552	−	1.06256i	0.249936	−	0.0946606i
$127$	−9.68973	+	3.14838i	−0.859825	+	0.279374i	−0.705555	−	0.708655i	$-0.749302\pi$
$127$	−9.68973	+	3.14838i	−0.859825	+	0.279374i	−0.154269	+	0.988029i	$0.549302\pi$
$128$	−0.809017	−	0.587785i	−0.0715077	−	0.0519534i
$129$	12.3815	−	9.45677i	1.09013	−	0.832622i
$130$	6.04267	−	18.5974i	0.529978	−	1.63110i
$131$	−13.5832			−1.18677			−0.593387	−	0.804918i	$-0.702209\pi$
$131$	−13.5832			−1.18677			−0.593387	+	0.804918i	$0.702209\pi$
$132$	1.70894	+	5.48448i	0.148744	+	0.477363i
$133$	−2.26886			−0.196735
$134$	1.27518	−	3.92460i	0.110159	−	0.339034i
$135$	16.5564	−	13.9494i	1.42495	−	1.20057i
$136$	2.58880	+	1.88087i	0.221987	+	0.161283i
$137$	−1.21793	+	0.395729i	−0.104055	+	0.0338094i	−0.360582	−	0.932728i	$-0.617422\pi$
$137$	−1.21793	+	0.395729i	−0.104055	+	0.0338094i	0.256527	+	0.966537i	$0.417422\pi$
$138$	4.62160	+	13.1444i	0.393417	+	1.11892i
$139$	−4.13323	+	5.68890i	−0.350576	+	0.482527i	−0.947493	−	0.319776i	$-0.896392\pi$
$139$	−4.13323	+	5.68890i	−0.350576	+	0.482527i	0.596917	+	0.802303i	$0.296392\pi$
$140$	3.37072	−	2.44897i	0.284878	−	0.206976i
$141$	−3.40456	+	11.3999i	−0.286716	+	0.960044i
$142$		−	3.02917i		−	0.254202i
$143$	15.5559	+	0.560891i	1.30085	+	0.0469041i
$144$	−2.99656	+	0.143603i	−0.249713	+	0.0119669i
$145$	2.27434	+	0.738979i	0.188874	+	0.0613688i
$146$	4.59010	+	6.31774i	0.379880	+	0.522860i
$147$	0.984235	−	1.42523i	0.0811783	−	0.117551i
$148$	−2.59673	−	7.99190i	−0.213450	−	0.656930i
$149$	−0.995684	−	3.06440i	−0.0815696	−	0.251045i	0.901952	−	0.431836i	$-0.142134\pi$
$149$	−0.995684	−	3.06440i	−0.0815696	−	0.251045i	−0.983522	+	0.180791i	$0.942134\pi$
$150$	12.1644	−	17.6148i	0.993220	−	1.43824i
$151$	2.05178	+	2.82404i	0.166972	+	0.229817i	0.884301	−	0.466918i	$-0.154636\pi$
$151$	2.05178	+	2.82404i	0.166972	+	0.229817i	−0.717329	+	0.696735i	$0.754636\pi$
$152$	2.15781	+	0.701116i	0.175022	+	0.0568680i
$153$	9.58878	−	0.459519i	0.775207	−	0.0371499i
$154$	2.61122	+	2.04488i	0.210418	+	0.164781i
$155$		−	35.0852i		−	2.81811i
$156$	−2.32622	+	7.78915i	−0.186246	+	0.623631i
$157$	1.47923	−	1.07472i	0.118055	−	0.0857721i	−0.527191	−	0.849747i	$-0.676755\pi$
$157$	1.47923	−	1.07472i	0.118055	−	0.0857721i	0.645246	+	0.763975i	$0.276755\pi$
$158$	0.366482	−	0.504419i	0.0291557	−	0.0401294i
$159$	−2.89155	−	8.22390i	−0.229315	−	0.652198i
$160$	−3.96252	+	1.28750i	−0.313265	+	0.101786i
$161$	6.50799	+	4.72833i	0.512902	+	0.372645i
$162$	−6.74192	+	5.96209i	−0.529695	+	0.468426i
$163$	−5.51224	+	16.9649i	−0.431752	+	1.32880i	0.464626	+	0.885507i	$0.346189\pi$
$163$	−5.51224	+	16.9649i	−0.431752	+	1.32880i	−0.896378	+	0.443290i	$0.853811\pi$
$164$	−0.355653			−0.0277718
$165$	22.6718	+	7.67097i	1.76500	+	0.597184i
$166$	−8.47651			−0.657905
$167$	4.19673	−	12.9162i	0.324753	−	0.999487i	−0.646799	−	0.762660i	$-0.723893\pi$
$167$	4.19673	−	12.9162i	0.324753	−	0.999487i	0.971552	−	0.236826i	$-0.0761072\pi$
$168$	−1.37648	+	1.05133i	−0.106198	+	0.0811118i
$169$	7.30329	+	5.30615i	0.561792	+	0.408166i
$170$	12.6798	−	4.11991i	0.972496	−	0.315983i
$171$	6.36533	−	2.41080i	0.486769	−	0.184359i
$172$	−5.28716	+	7.27715i	−0.403142	+	0.554878i
$173$	−16.7669	+	12.1819i	−1.27476	+	0.926170i	−0.999382	−	0.0351643i	$-0.988805\pi$
$173$	−16.7669	+	12.1819i	−1.27476	+	0.926170i	−0.275383	+	0.961335i	$0.588805\pi$
$174$	−0.952561	−	0.284481i	−0.0722135	−	0.0215664i
$175$		−	12.3593i		−	0.934272i
$176$	−1.85151	−	2.75171i	−0.139563	−	0.207418i
$177$	−6.88760	+	0.164941i	−0.517704	+	0.0123977i
$178$	−4.85407	−	1.57718i	−0.363828	−	0.118215i
$179$	−10.6347	−	14.6374i	−0.794873	−	1.09405i	−0.993484	−	0.113970i	$-0.963643\pi$
$179$	−10.6347	−	14.6374i	−0.794873	−	1.09405i	0.198611	−	0.980078i	$-0.436357\pi$
$180$	−6.85445	+	10.4523i	−0.510901	+	0.779065i
$181$	−1.48903	−	4.58276i	−0.110679	−	0.340634i	0.880343	−	0.474338i	$-0.157313\pi$
$181$	−1.48903	−	4.58276i	−0.110679	−	0.340634i	−0.991021	+	0.133705i	$0.957313\pi$
$182$	1.45032	+	4.46362i	0.107505	+	0.330866i
$183$	−11.3977	−	7.87101i	−0.842541	−	0.581842i
$184$	−4.72833	−	6.50799i	−0.348577	−	0.479776i
$185$	−33.2978	−	10.8191i	−2.44810	−	0.795437i
$186$	0.349184	+	14.5812i	0.0256034	+	1.06915i
$187$	5.92471	+	8.80527i	0.433258	+	0.643905i
$188$		−	6.86898i		−	0.500972i
$189$	−1.24690	+	5.04433i	−0.0906985	+	0.366921i
$190$	7.64769	−	5.55637i	0.554822	−	0.403102i
$191$	2.92452	−	4.02526i	0.211611	−	0.291258i	−0.689996	−	0.723813i	$-0.742388\pi$
$191$	2.92452	−	4.02526i	0.211611	−	0.291258i	0.901607	+	0.432555i	$0.142388\pi$
$192$	1.63399	−	0.574517i	0.117923	−	0.0414622i
$193$	−17.6246	+	5.72657i	−1.26864	+	0.412208i	−0.864567	−	0.502517i	$-0.832407\pi$
$193$	−17.6246	+	5.72657i	−1.26864	+	0.412208i	−0.404077	+	0.914725i	$0.632407\pi$
$194$	0.624289	+	0.453573i	0.0448214	+	0.0325646i
$195$	20.5582	+	26.9165i	1.47220	+	1.92753i
$196$	−0.309017	+	0.951057i	−0.0220726	+	0.0679326i
$197$	−20.3636			−1.45085			−0.725424	−	0.688302i	$-0.758356\pi$
$197$	−20.3636			−1.45085			−0.725424	+	0.688302i	$0.758356\pi$
$198$	−9.49865	−	2.96238i	−0.675040	−	0.210527i
$199$	−7.02398			−0.497917			−0.248959	−	0.968514i	$-0.580088\pi$
$199$	−7.02398			−0.497917			−0.248959	+	0.968514i	$0.580088\pi$
$200$	−3.81922	+	11.7543i	−0.270060	+	0.831158i
$201$	4.33839	+	5.68016i	0.306006	+	0.400648i
$202$	−6.94867	−	5.04851i	−0.488907	−	0.355212i
$203$	−0.545872	+	0.177364i	−0.0383127	+	0.0124485i
$204$	−5.22866	+	1.83841i	−0.366079	+	0.128715i
$205$	−0.870984	+	1.19881i	−0.0608322	+	0.0837283i
$206$	2.77907	−	2.01911i	0.193627	−	0.140678i
$207$	−23.2825	−	6.35030i	−1.61824	−	0.441376i
$208$		−	4.69333i		−	0.325424i
$209$	5.92448	+	4.63954i	0.409805	+	0.320924i
$210$	0.172768	+	7.21442i	0.0119221	+	0.497843i
$211$	13.3240	+	4.32924i	0.917264	+	0.298037i	0.729344	−	0.684147i	$-0.239826\pi$
$211$	13.3240	+	4.32924i	0.917264	+	0.298037i	0.187920	+	0.982184i	$0.439826\pi$
$212$	2.95833	+	4.07179i	0.203179	+	0.279652i
$213$	4.31727	+	2.98142i	0.295814	+	0.204283i
$214$	−2.85466	−	8.78575i	−0.195141	−	0.600581i
$215$	11.5812	+	35.6431i	0.789828	+	2.43084i
$216$	2.74465	−	4.41213i	0.186750	−	0.300207i
$217$	4.94967	+	6.81264i	0.336006	+	0.462472i
$218$	16.4549	+	5.34652i	1.11447	+	0.362112i
$219$	−13.5220	+	0.323818i	−0.913730	+	0.0218816i
$220$	−13.8096	−	0.497924i	−0.931040	−	0.0335700i
$221$			15.0183i			1.01024i
$222$	13.9461	+	4.16498i	0.936000	+	0.279535i
$223$	9.91897	−	7.20655i	0.664223	−	0.482587i	−0.203863	−	0.978999i	$-0.565350\pi$
$223$	9.91897	−	7.20655i	0.664223	−	0.482587i	0.868087	+	0.496413i	$0.165350\pi$
$224$	0.587785	−	0.809017i	0.0392731	−	0.0540547i
$225$	13.1325	+	34.6742i	0.875499	+	2.31161i
$226$	−1.71737	+	0.558008i	−0.114238	+	0.0371181i
$227$	11.6461	+	8.46136i	0.772977	+	0.561600i	0.902863	−	0.429929i	$-0.141461\pi$
$227$	11.6461	+	8.46136i	0.772977	+	0.561600i	−0.129886	+	0.991529i	$0.541461\pi$
$228$	−3.12305	+	2.38532i	−0.206829	+	0.157971i
$229$	−3.65782	+	11.2576i	−0.241715	+	0.743924i	0.754444	+	0.656365i	$0.227907\pi$
$229$	−3.65782	+	11.2576i	−0.241715	+	0.743924i	−0.996159	+	0.0875590i	$0.972093\pi$
$230$	−33.5162			−2.20999
$231$	−5.48448	+	1.70894i	−0.360852	+	0.112440i
$232$	0.573963			0.0376825
$233$	−4.54840	+	13.9985i	−0.297976	+	0.917075i	0.684230	+	0.729266i	$0.260139\pi$
$233$	−4.54840	+	13.9985i	−0.297976	+	0.917075i	−0.982206	+	0.187809i	$0.939861\pi$
$234$	−8.81179	−	10.9817i	−0.576044	−	0.717899i
$235$	−23.1534	−	16.8219i	−1.51036	−	1.09734i
$236$	3.78302	−	1.22918i	0.246253	−	0.0800126i
$237$	0.358209	+	1.01879i	0.0232682	+	0.0661773i
$238$	−1.88087	+	2.58880i	−0.121919	+	0.167807i
$239$	0.959087	−	0.696817i	0.0620382	−	0.0450734i	−0.556334	−	0.830959i	$-0.687792\pi$
$239$	0.959087	−	0.696817i	0.0620382	−	0.0450734i	0.618372	+	0.785885i	$0.287792\pi$
$240$	2.06507	−	6.91471i	0.133300	−	0.446343i
$241$			23.7771i			1.53162i	0.643067	+	0.765810i	$0.277662\pi$
$241$			23.7771i			1.53162i	−0.643067	+	0.765810i	$0.722338\pi$
$242$	−2.63692	−	10.6793i	−0.169508	−	0.686489i
$243$	−1.86171	−	15.4769i	−0.119429	−	0.992843i
$244$	7.60568	+	2.47123i	0.486904	+	0.158205i
$245$	2.44897	+	3.37072i	0.156459	+	0.215348i
$246$	0.350046	−	0.506887i	0.0223181	−	0.0323179i
$247$	3.29057	+	10.1273i	0.209374	+	0.644387i
$248$	−2.60220	−	8.00874i	−0.165240	−	0.508555i
$249$	8.34288	−	12.0810i	0.528709	−	0.765601i
$250$	18.0226	+	24.8060i	1.13985	+	1.56887i
$251$	21.4738	+	6.97727i	1.35542	+	0.440402i	0.894510	−	0.447047i	$-0.147524\pi$
$251$	21.4738	+	6.97727i	1.35542	+	0.440402i	0.460907	+	0.887449i	$0.347524\pi$
$252$	−0.143603	−	2.99656i	−0.00904613	−	0.188766i
$253$	−7.32491	−	25.6548i	−0.460513	−	1.61290i
$254$			10.1884i			0.639276i
$255$	−6.60807	+	22.1266i	−0.413813	+	1.38562i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−6.84178	+	9.41690i	−0.426778	+	0.587410i	−0.967210	−	0.253978i	$-0.918261\pi$
$257$	−6.84178	+	9.41690i	−0.426778	+	0.587410i	0.540432	+	0.841388i	$0.318261\pi$
$258$	−5.16781	−	14.6979i	−0.321734	−	0.915048i
$259$	7.99190	−	2.59673i	0.496593	−	0.161353i
$260$	−15.8199	−	11.4938i	−0.981110	−	0.712818i
$261$	1.34299	−	1.07762i	0.0831293	−	0.0667032i
$262$	−4.19745	+	12.9184i	−0.259319	+	0.798103i
$263$	−4.29503			−0.264843			−0.132421	−	0.991194i	$-0.542275\pi$
$263$	−4.29503			−0.264843			−0.132421	+	0.991194i	$0.542275\pi$
$264$	5.74414	+	0.0694954i	0.353528	+	0.00427715i
$265$	20.9698			1.28816
$266$	−0.701116	+	2.15781i	−0.0429882	+	0.132304i
$267$	7.02539	−	5.36585i	0.429947	−	0.328384i
$268$	−3.33847	−	2.42554i	−0.203929	−	0.148163i
$269$	18.5305	−	6.02093i	1.12982	−	0.367102i	0.316316	−	0.948654i	$-0.397554\pi$
$269$	18.5305	−	6.02093i	1.12982	−	0.367102i	0.813509	+	0.581552i	$0.197554\pi$
$270$	−8.15048	−	20.0567i	−0.496022	−	1.22061i
$271$	−4.99114	+	6.86971i	−0.303190	+	0.417305i	−0.933242	−	0.359247i	$-0.883033\pi$
$271$	−4.99114	+	6.86971i	−0.303190	+	0.417305i	0.630052	+	0.776553i	$0.283033\pi$
$272$	2.58880	−	1.88087i	0.156969	−	0.114045i
$273$	−7.78915	−	2.32622i	−0.471421	−	0.140789i
$274$			1.28060i			0.0773641i
$275$	−25.2732	+	32.2727i	−1.52403	+	1.94612i
$276$	13.9292	−	0.333570i	0.838438	−	0.0200785i
$277$	7.50016	+	2.43695i	0.450641	+	0.146422i	0.525540	−	0.850769i	$-0.323863\pi$
$277$	7.50016	+	2.43695i	0.450641	+	0.146422i	−0.0748987	+	0.997191i	$0.523863\pi$
$278$	4.13323	+	5.68890i	0.247895	+	0.341198i
$279$	−21.1253	−	13.8537i	−1.26474	−	0.829398i
$280$	−1.28750	−	3.96252i	−0.0769430	−	0.236806i
$281$	9.50091	+	29.2408i	0.566777	+	1.74436i	0.662613	+	0.748962i	$0.269447\pi$
$281$	9.50091	+	29.2408i	0.566777	+	1.74436i	−0.0958368	+	0.995397i	$0.530553\pi$
$282$	9.78987	+	6.76069i	0.582978	+	0.402593i
$283$	−0.117863	−	0.162225i	−0.00700625	−	0.00964328i	0.805500	−	0.592596i	$-0.201897\pi$
$283$	−0.117863	−	0.162225i	−0.00700625	−	0.00964328i	−0.812506	+	0.582953i	$0.801897\pi$
$284$	−2.88091	−	0.936066i	−0.170951	−	0.0555453i
$285$	0.391985	+	16.3685i	0.0232192	+	0.969586i
$286$	5.34048	−	14.6212i	0.315789	−	0.864571i
$287$		−	0.355653i		−	0.0209935i
$288$	−0.789414	+	2.89427i	−0.0465167	+	0.170547i
$289$	5.46932	−	3.97370i	0.321725	−	0.233747i
$290$	1.40562	−	1.93467i	0.0825409	−	0.113608i
$291$	−1.26089	+	0.443334i	−0.0739149	+	0.0259887i
$292$	7.42694	−	2.41316i	0.434629	−	0.141220i
$293$	2.13768	+	1.55311i	0.124884	+	0.0907339i	0.648474	−	0.761237i	$-0.275407\pi$
$293$	2.13768	+	1.55311i	0.124884	+	0.0907339i	−0.523590	+	0.851971i	$0.675407\pi$
$294$	−1.05133	−	1.37648i	−0.0613148	−	0.0802782i
$295$	5.12129	−	15.7617i	0.298173	−	0.917683i
$296$	−8.40318			−0.488425
$297$	13.5710	−	10.6221i	0.787468	−	0.616356i
$298$	−3.22210			−0.186651
$299$	11.6668	−	35.9068i	0.674711	−	2.07655i
$300$	−12.9936	−	17.0123i	−0.750188	−	0.982206i
$301$	−7.27715	−	5.28716i	−0.419448	−	0.304747i
$302$	3.31985	−	1.07869i	0.191036	−	0.0620714i
$303$	14.0344	−	4.93454i	0.806256	−	0.283482i
$304$	1.33360	−	1.83554i	0.0764873	−	0.105276i
$305$	26.9560	−	19.5847i	1.54349	−	1.12141i
$306$	2.52607	−	9.26147i	0.144406	−	0.529443i
$307$		−	5.42445i		−	0.309590i	−0.987947	−	0.154795i	$-0.950528\pi$
$307$		−	5.42445i		−	0.309590i	0.987947	−	0.154795i	$-0.0494717\pi$
$308$	2.75171	−	1.85151i	0.156793	−	0.105500i
$309$	0.142442	+	5.94810i	0.00810326	+	0.338376i
$310$	−33.3680	−	10.8419i	−1.89517	−	0.615779i
$311$	−7.19706	−	9.90591i	−0.408108	−	0.561713i	0.554648	−	0.832085i	$-0.312853\pi$
$311$	−7.19706	−	9.90591i	−0.408108	−	0.561713i	−0.962756	+	0.270373i	$0.912853\pi$
$312$	6.68908	+	4.61934i	0.378695	+	0.261519i
$313$	−0.407981	−	1.25564i	−0.0230604	−	0.0709727i	0.938864	−	0.344288i	$-0.111880\pi$
$313$	−0.407981	−	1.25564i	−0.0230604	−	0.0709727i	−0.961924	+	0.273315i	$0.911880\pi$
$314$	−0.565015	−	1.73894i	−0.0318856	−	0.0981339i
$315$	−10.4523	−	6.85445i	−0.588918	−	0.386205i
$316$	−0.366482	−	0.504419i	−0.0206162	−	0.0283758i
$317$	−11.2135	−	3.64348i	−0.629812	−	0.204638i	−0.0233204	−	0.999728i	$-0.507424\pi$
$317$	−11.2135	−	3.64348i	−0.629812	−	0.204638i	−0.606492	+	0.795090i	$0.707424\pi$
$318$	−8.71494	+	0.208701i	−0.488709	+	0.0117034i
$319$	1.78808	+	0.653105i	0.100113	+	0.0365669i
$320$			4.16644i			0.232911i
$321$	15.3314	+	4.57869i	0.855714	+	0.255558i
$322$	6.50799	−	4.72833i	0.362676	−	0.263500i
$323$	−4.26743	+	5.87361i	−0.237446	+	0.326816i
$324$	3.58692	+	8.25433i	0.199273	+	0.458574i
$325$	−55.1671	+	17.9249i	−3.06012	+	0.994293i
$326$	14.4312	+	10.4849i	0.799272	+	0.580705i
$327$	−23.8155	+	18.1898i	−1.31700	+	1.00590i
$328$	−0.109903	+	0.338246i	−0.00606836	+	0.0186765i
$329$	6.86898			0.378699
$330$	14.3015	−	19.1917i	0.787272	−	1.05647i
$331$	−27.9369			−1.53555			−0.767774	−	0.640720i	$-0.778636\pi$
$331$	−27.9369			−1.53555			−0.767774	+	0.640720i	$0.778636\pi$
$332$	−2.61939	+	8.06164i	−0.143758	+	0.442440i
$333$	−19.6623	+	15.7771i	−1.07749	+	0.864578i
$334$	−10.9872	−	7.98266i	−0.601192	−	0.436792i
$335$	−16.3516	+	5.31297i	−0.893386	+	0.290279i
$336$	0.574517	+	1.63399i	0.0313425	+	0.0891416i
$337$	15.8003	−	21.7473i	0.860699	−	1.18465i	−0.120704	−	0.992689i	$-0.538515\pi$
$337$	15.8003	−	21.7473i	0.860699	−	1.18465i	0.981402	−	0.191962i	$-0.0614849\pi$
$338$	7.30329	−	5.30615i	0.397247	−	0.288617i
$339$	0.895007	−	2.99686i	0.0486101	−	0.162767i
$340$		−	13.3323i		−	0.723047i
$341$	1.00636	−	27.9108i	0.0544977	−	1.51145i
$342$	−0.325814	−	6.79877i	−0.0176180	−	0.367635i
$343$	−0.951057	−	0.309017i	−0.0513522	−	0.0166853i
$344$	5.28716	+	7.27715i	0.285065	+	0.392358i
$345$	32.9878	−	47.7683i	1.77601	−	2.57176i
$346$	6.40439	+	19.7107i	0.344302	+	1.05965i
$347$	7.46684	+	22.9806i	0.400841	+	1.23366i	0.924318	+	0.381622i	$0.124634\pi$
$347$	7.46684	+	22.9806i	0.400841	+	1.23366i	−0.523477	+	0.852040i	$0.675366\pi$
$348$	−0.564915	+	0.818030i	−0.0302826	+	0.0438510i
$349$	−5.13322	−	7.06527i	−0.274775	−	0.378195i	0.649220	−	0.760601i	$-0.275096\pi$
$349$	−5.13322	−	7.06527i	−0.274775	−	0.378195i	−0.923994	+	0.382406i	$0.875096\pi$
$350$	−11.7543	−	3.81922i	−0.628296	−	0.204146i
$351$	24.3244	−	1.75020i	1.29834	−	0.0934190i
$352$	−3.18918	+	0.910569i	−0.169984	+	0.0485335i
$353$			22.0413i			1.17314i	0.809898	+	0.586571i	$0.199522\pi$
$353$			22.0413i			1.17314i	−0.809898	+	0.586571i	$0.800478\pi$
$354$	−1.97152	+	6.60147i	−0.104785	+	0.350864i
$355$	−10.2105	+	7.41836i	−0.541917	+	0.393726i
$356$	−2.99998	+	4.12912i	−0.158999	+	0.218843i
$357$	−1.83841	−	5.22866i	−0.0972991	−	0.276730i
$358$	−17.2073	+	5.59098i	−0.909432	+	0.295492i
$359$	−8.35442	−	6.06984i	−0.440929	−	0.320354i	0.345075	−	0.938575i	$-0.387854\pi$
$359$	−8.35442	−	6.06984i	−0.440929	−	0.320354i	−0.786004	+	0.618221i	$0.787854\pi$
$360$	7.82255	+	9.74890i	0.412284	+	0.513812i
$361$	4.28059	−	13.1743i	0.225294	−	0.693384i
$362$	−4.81860			−0.253260
$363$	17.8158	+	6.75268i	0.935085	+	0.354424i
$364$	4.69333			0.245997
$365$	10.0543	−	30.9439i	0.526266	−	1.61968i
$366$	−11.0079	+	8.40757i	−0.575390	+	0.439471i
$367$	4.12517	+	2.99711i	0.215332	+	0.156448i	0.690223	−	0.723597i	$-0.257512\pi$
$367$	4.12517	+	2.99711i	0.215332	+	0.156448i	−0.474891	+	0.880045i	$0.657512\pi$
$368$	−7.65061	+	2.48583i	−0.398815	+	0.129583i
$369$	0.377903	+	0.997792i	0.0196729	+	0.0519430i
$370$	−20.5792	+	28.3248i	−1.06986	+	1.47254i
$371$	−4.07179	+	2.95833i	−0.211397	+	0.153589i
$372$	13.9755	+	4.17375i	0.724594	+	0.216399i
$373$		−	3.66260i		−	0.189642i	−0.995494	−	0.0948210i	$-0.969772\pi$
$373$		−	3.66260i		−	0.189642i	0.995494	−	0.0948210i	$-0.0302279\pi$
$374$	10.2051	−	2.91376i	0.527696	−	0.150667i
$375$	−53.0928	+	1.27144i	−2.74170	+	0.0656569i
$376$	−6.53278	−	2.12263i	−0.336903	−	0.109466i
$377$	1.58338	+	2.17933i	0.0815480	+	0.112241i
$378$	4.41213	+	2.74465i	0.226935	+	0.141170i
$379$	−5.00305	−	15.3978i	−0.256990	−	0.790933i	−0.993431	−	0.114431i	$-0.963495\pi$
$379$	−5.00305	−	15.3978i	−0.256990	−	0.790933i	0.736442	−	0.676501i	$-0.236505\pi$
$380$	−2.92116	−	8.99040i	−0.149852	−	0.461198i
$381$	−14.5208	−	10.0278i	−0.743923	−	0.513738i
$382$	−2.92452	−	4.02526i	−0.149632	−	0.205950i
$383$	22.3916	+	7.27548i	1.14416	+	0.371760i	0.818940	−	0.573879i	$-0.194562\pi$
$383$	22.3916	+	7.27548i	1.14416	+	0.371760i	0.325219	+	0.945639i	$0.394562\pi$
$384$	−0.0414664	−	1.73155i	−0.00211608	−	0.0883630i
$385$	0.497924	−	13.8096i	0.0253765	−	0.703800i
$386$			18.5316i			0.943232i
$387$	26.0342	+	7.10082i	1.32339	+	0.360955i
$388$	0.624289	−	0.453573i	0.0316935	−	0.0230267i
$389$	8.84009	−	12.1673i	0.448211	−	0.616909i	−0.523801	−	0.851840i	$-0.675487\pi$
$389$	8.84009	−	12.1673i	0.448211	−	0.616909i	0.972012	+	0.234931i	$0.0754866\pi$
$390$	31.9519	−	11.2344i	1.61795	−	0.568875i
$391$	24.4814	−	7.95449i	1.23808	−	0.402276i
$392$	0.809017	+	0.587785i	0.0408615	+	0.0296876i
$393$	−14.2805	−	18.6971i	−0.720354	−	0.943144i
$394$	−6.29271	+	19.3670i	−0.317022	+	0.975693i
$395$	−2.59776			−0.130707
$396$	−5.75263	+	8.11833i	−0.289081	+	0.407961i
$397$	−37.1211			−1.86305			−0.931526	−	0.363675i	$-0.881522\pi$
$397$	−37.1211			−1.86305			−0.931526	+	0.363675i	$0.881522\pi$
$398$	−2.17053	+	6.68021i	−0.108799	+	0.334848i
$399$	−2.38532	−	3.12305i	−0.119415	−	0.156348i
$400$	9.99884	+	7.26459i	0.499942	+	0.363229i
$401$	−11.9488	+	3.88240i	−0.596694	+	0.193878i	−0.591766	−	0.806110i	$-0.701569\pi$
$401$	−11.9488	+	3.88240i	−0.596694	+	0.193878i	−0.00492870	+	0.999988i	$0.501569\pi$
$402$	6.74279	−	2.37079i	0.336300	−	0.118244i
$403$	23.2305	−	31.9740i	1.15719	−	1.59274i
$404$	−6.94867	+	5.04851i	−0.345709	+	0.251173i
$405$	36.6073	+	8.12415i	1.81903	+	0.403692i
$406$			0.573963i			0.0284853i
$407$	−26.1786	−	9.56187i	−1.29762	−	0.473964i
$408$	0.132690	+	5.54085i	0.00656912	+	0.274313i
$409$	−8.70630	−	2.82885i	−0.430499	−	0.139878i	0.0857489	−	0.996317i	$-0.472672\pi$
$409$	−8.70630	−	2.82885i	−0.430499	−	0.139878i	−0.516248	+	0.856439i	$0.672672\pi$
$410$	0.870984	+	1.19881i	0.0430149	+	0.0592049i
$411$	−1.82516	−	1.26042i	−0.0900283	−	0.0621717i
$412$	−1.06151	−	3.26699i	−0.0522969	−	0.160953i
$413$	1.22918	+	3.78302i	0.0604838	+	0.186150i
$414$	−13.2342	+	20.1806i	−0.650424	+	0.991823i
$415$	20.7588	+	28.5720i	1.01901	+	1.40254i
$416$	−4.46362	−	1.45032i	−0.218847	−	0.0711078i
$417$	−12.1761	+	0.291587i	−0.596265	+	0.0142791i
$418$	6.24324	−	4.20082i	0.305367	−	0.205469i
$419$		−	30.9056i		−	1.50984i	−0.655819	−	0.754918i	$-0.727676\pi$
$419$		−	30.9056i		−	1.50984i	0.655819	−	0.754918i	$-0.272324\pi$
$420$	6.91471	+	2.06507i	0.337403	+	0.100765i
$421$	−5.33199	+	3.87392i	−0.259865	+	0.188803i	−0.710088	−	0.704113i	$-0.751345\pi$
$421$	−5.33199	+	3.87392i	−0.259865	+	0.188803i	0.450222	+	0.892916i	$0.351345\pi$
$422$	8.23470	−	11.3341i	0.400859	−	0.551735i
$423$	−19.2711	+	7.29872i	−0.936992	+	0.354876i
$424$	4.78668	−	1.55529i	0.232462	−	0.0755314i
$425$	−31.9956	−	23.2462i	−1.55201	−	1.12760i
$426$	4.16961	−	3.18466i	0.202018	−	0.154297i
$427$	−2.47123	+	7.60568i	−0.119591	+	0.368065i
$428$	−9.23788			−0.446530
$429$	15.5823	+	22.0021i	0.752322	+	1.06227i
$430$	37.4774			1.80732
$431$	12.3128	−	37.8949i	0.593087	−	1.82533i	0.0290614	−	0.999578i	$-0.490748\pi$
$431$	12.3128	−	37.8949i	0.593087	−	1.82533i	0.564026	−	0.825757i	$-0.309252\pi$
$432$	−3.34804	−	3.97374i	−0.161083	−	0.191187i
$433$	21.5880	+	15.6846i	1.03745	+	0.753755i	0.969787	−	0.243953i	$-0.0784444\pi$
$433$	21.5880	+	15.6846i	1.03745	+	0.753755i	0.0676672	+	0.997708i	$0.478444\pi$
$434$	8.00874	−	2.60220i	0.384432	−	0.124909i
$435$	1.37389	+	3.90751i	0.0658730	+	0.187351i
$436$	10.1697	−	13.9974i	0.487039	−	0.670352i
$437$	14.7657	−	10.7279i	0.706340	−	0.513186i
$438$	−3.87055	+	12.9602i	−0.184942	+	0.619263i
$439$		−	25.5945i		−	1.22156i	−0.791801	−	0.610779i	$-0.790856\pi$
$439$		−	25.5945i		−	1.22156i	0.791801	−	0.610779i	$-0.209144\pi$
$440$	−4.74094	+	12.9798i	−0.226016	+	0.618788i
$441$	2.99656	−	0.143603i	0.142693	−	0.00683823i
$442$	14.2833	+	4.64092i	0.679386	+	0.220746i
$443$	19.3594	+	26.6460i	0.919794	+	1.26599i	0.963710	+	0.266953i	$0.0860168\pi$
$443$	19.3594	+	26.6460i	0.919794	+	1.26599i	−0.0439153	+	0.999035i	$0.513983\pi$
$444$	8.27071	−	11.9765i	0.392510	−	0.568378i
$445$	6.57124	+	20.2242i	0.311507	+	0.958719i
$446$	−3.78871	−	11.6604i	−0.179401	−	0.552138i
$447$	3.17130	−	4.59223i	0.149998	−	0.217205i
$448$	−0.587785	−	0.809017i	−0.0277702	−	0.0382225i
$449$	−4.18218	−	1.35887i	−0.197369	−	0.0641292i	0.208664	−	0.977987i	$-0.433088\pi$
$449$	−4.18218	−	1.35887i	−0.197369	−	0.0641292i	−0.406034	+	0.913858i	$0.633088\pi$
$450$	37.0353	−	1.77482i	1.74586	−	0.0836660i
$451$	−0.727268	+	0.928687i	−0.0342457	+	0.0437302i
$452$			1.80575i			0.0849354i
$453$	−1.73014	+	5.79324i	−0.0812891	+	0.272190i
$454$	11.6461	−	8.46136i	0.546577	−	0.397111i
$455$	11.4938	−	15.8199i	0.538840	−	0.741650i
$456$	1.30350	+	3.70730i	0.0610418	+	0.173610i
$457$	−5.07799	+	1.64994i	−0.237538	+	0.0771809i	−0.425367	−	0.905021i	$-0.639855\pi$
$457$	−5.07799	+	1.64994i	−0.237538	+	0.0771809i	0.187829	+	0.982202i	$0.439855\pi$
$458$	9.57629	+	6.95758i	0.447471	+	0.325107i
$459$	10.7135	+	12.7157i	0.500063	+	0.593518i
$460$	−10.3571	+	31.8758i	−0.482901	+	1.48622i
$461$	10.6682			0.496866			0.248433	−	0.968649i	$-0.420084\pi$
$461$	10.6682			0.496866			0.248433	+	0.968649i	$0.420084\pi$
$462$	−0.0694954	+	5.74414i	−0.00323322	+	0.267242i
$463$	35.8140			1.66442			0.832208	−	0.554463i	$-0.187076\pi$
$463$	35.8140			1.66442			0.832208	+	0.554463i	$0.187076\pi$
$464$	0.177364	−	0.545872i	0.00823394	−	0.0253414i
$465$	48.2941	−	36.8860i	2.23959	−	1.71055i
$466$	11.9079	+	8.65158i	0.551622	+	0.400777i
$467$	8.63395	−	2.80534i	0.399531	−	0.129816i	−0.102358	−	0.994748i	$-0.532639\pi$
$467$	8.63395	−	2.80534i	0.399531	−	0.129816i	0.501889	+	0.864932i	$0.332639\pi$
$468$	−13.1673	+	4.98696i	−0.608656	+	0.230522i
$469$	2.42554	−	3.33847i	0.112001	−	0.154156i
$470$	−23.1534	+	16.8219i	−1.06799	+	0.775938i
$471$	3.03449	+	0.906246i	0.139822	+	0.0417576i
$472$		−	3.97770i		−	0.183088i
$473$	8.19062	+	28.6869i	0.376605	+	1.31902i
$474$	1.07962	−	0.0258541i	0.0495884	−	0.00118752i
$475$	−26.6689	−	8.66526i	−1.22366	−	0.397590i
$476$	1.88087	+	2.58880i	0.0862096	+	0.118657i
$477$	8.28010	−	12.6262i	0.379120	−	0.578114i
$478$	−0.366339	−	1.12747i	−0.0167559	−	0.0515695i
$479$	1.81230	+	5.57768i	0.0828060	+	0.254851i	0.983884	−	0.178806i	$-0.0572233\pi$
$479$	1.81230	+	5.57768i	0.0828060	+	0.254851i	−0.901078	+	0.433656i	$0.857223\pi$
$480$	−5.93814	−	4.10076i	−0.271038	−	0.187173i
$481$	−23.1816	−	31.9068i	−1.05699	−	1.45482i
$482$	22.6134	+	7.34754i	1.03001	+	0.334671i
$483$	0.333570	+	13.9292i	0.0151779	+	0.633800i
$484$	−10.9714	−	0.792212i	−0.498702	−	0.0360096i
$485$		−	3.21510i		−	0.145990i
$486$	−15.2947	−	3.01203i	−0.693781	−	0.136628i
$487$	−11.3475	+	8.24446i	−0.514205	+	0.373592i	−0.814417	−	0.580281i	$-0.802943\pi$
$487$	−11.3475	+	8.24446i	−0.514205	+	0.373592i	0.300211	+	0.953873i	$0.402943\pi$
$488$	4.70057	−	6.46978i	0.212785	−	0.292873i
$489$	−29.1471	+	10.2482i	−1.31808	+	0.463441i
$490$	3.96252	−	1.28750i	0.179009	−	0.0581634i
$491$	1.51738	+	1.10244i	0.0684786	+	0.0497526i	0.621498	−	0.783416i	$-0.286524\pi$
$491$	1.51738	+	1.10244i	0.0684786	+	0.0497526i	−0.553019	+	0.833168i	$0.686524\pi$
$492$	−0.373908	−	0.489550i	−0.0168571	−	0.0220706i
$493$	−0.567553	+	1.74675i	−0.0255613	+	0.0786697i
$494$	10.6485			0.479099
$495$	13.2766	+	39.2721i	0.596738	+	1.76515i
$496$	−8.42089			−0.378109
$497$	0.936066	−	2.88091i	0.0419883	−	0.129227i
$498$	−8.91160	−	11.6678i	−0.399339	−	0.522846i
$499$	7.01669	+	5.09792i	0.314110	+	0.228214i	0.733658	−	0.679519i	$-0.237811\pi$
$499$	7.01669	+	5.09792i	0.314110	+	0.228214i	−0.419548	+	0.907733i	$0.637811\pi$
$500$	29.1612	−	9.47505i	1.30413	−	0.423737i
$501$	22.1911	−	7.80246i	0.991425	−	0.348588i
$502$	13.2716	−	18.2667i	0.592339	−	0.815285i
$503$	−21.0919	+	15.3241i	−0.940439	+	0.683269i	−0.948526	−	0.316698i	$-0.897426\pi$
$503$	−21.0919	+	15.3241i	−0.940439	+	0.683269i	0.00808701	+	0.999967i	$0.497426\pi$
$504$	−2.89427	−	0.789414i	−0.128921	−	0.0351633i
$505$			35.7857i			1.59244i
$506$	−26.6627	−	0.961362i	−1.18530	−	0.0427377i
$507$	0.374333	+	15.6314i	0.0166247	+	0.694214i
$508$	9.68973	+	3.14838i	0.429912	+	0.139687i
$509$	5.67913	+	7.81665i	0.251723	+	0.346467i	0.916114	−	0.400918i	$-0.131309\pi$
$509$	5.67913	+	7.81665i	0.251723	+	0.346467i	−0.664391	+	0.747385i	$0.731309\pi$
$510$	19.0016	+	13.1221i	0.841406	+	0.581058i
$511$	2.41316	+	7.42694i	0.106752	+	0.328549i
$512$	0.309017	+	0.951057i	0.0136568	+	0.0420312i
$513$	10.0105	+	6.22723i	0.441974	+	0.274939i
$514$	6.84178	+	9.41690i	0.301778	+	0.415362i
$515$	−13.6117	−	4.42273i	−0.599805	−	0.194889i
$516$	−15.5754	+	0.372993i	−0.685670	+	0.0164201i
$517$	−17.9364	−	14.0462i	−0.788842	−	0.617753i
$518$		−	8.40318i		−	0.369215i
$519$	−34.3957	−	10.2722i	−1.50980	−	0.450900i
$520$	−15.8199	+	11.4938i	−0.693750	+	0.504039i
$521$	3.76473	−	5.18171i	0.164936	−	0.227015i	−0.718547	−	0.695479i	$-0.755192\pi$
$521$	3.76473	−	5.18171i	0.164936	−	0.227015i	0.883483	+	0.468464i	$0.155192\pi$
$522$	−0.609872	−	1.61027i	−0.0266934	−	0.0704795i
$523$	11.7615	−	3.82154i	0.514294	−	0.167104i	−0.0403604	−	0.999185i	$-0.512851\pi$
$523$	11.7615	−	3.82154i	0.514294	−	0.167104i	0.554654	+	0.832081i	$0.312851\pi$
$524$	10.9891	+	7.98403i	0.480060	+	0.348784i
$525$	17.0123	−	12.9936i	0.742478	−	0.567089i
$526$	−1.32724	+	4.08482i	−0.0578703	+	0.178106i
$527$	26.9462			1.17380
$528$	1.84113	−	5.44153i	0.0801250	−	0.236812i
$529$	−41.7111			−1.81353
$530$	6.48001	−	19.9434i	0.281474	−	0.866287i
$531$	−7.46817	−	9.30726i	−0.324091	−	0.403901i
$532$	1.83554	+	1.33360i	0.0795810	+	0.0578189i
$533$	−1.58750	+	0.515810i	−0.0687623	+	0.0223422i
$534$	−2.93226	−	8.33968i	−0.126891	−	0.360893i
$535$	−22.6233	+	31.1383i	−0.978092	+	1.34623i
$536$	−3.33847	+	2.42554i	−0.144200	+	0.104767i
$537$	8.96756	−	30.0272i	0.386979	−	1.29577i
$538$		−	19.4841i		−	0.840020i
$539$	1.85151	+	2.75171i	0.0797503	+	0.118524i
$540$	−21.5937	+	1.55372i	−0.929243	+	0.0668615i
$541$	−15.9650	−	5.18735i	−0.686390	−	0.223022i	−0.0549994	−	0.998486i	$-0.517516\pi$
$541$	−15.9650	−	5.18735i	−0.686390	−	0.223022i	−0.631391	+	0.775465i	$0.717516\pi$
$542$	4.99114	+	6.86971i	0.214388	+	0.295079i
$543$	4.74263	−	6.86761i	0.203526	−	0.294717i
$544$	−0.988832	−	3.04331i	−0.0423958	−	0.130481i
$545$	−22.2760	−	68.5584i	−0.954197	−	2.93672i
$546$	−4.61934	+	6.68908i	−0.197690	+	0.286266i
$547$	8.32008	+	11.4516i	0.355741	+	0.489636i	0.948956	−	0.315409i	$-0.102142\pi$
$547$	8.32008	+	11.4516i	0.355741	+	0.489636i	−0.593215	+	0.805044i	$0.702142\pi$
$548$	1.21793	+	0.395729i	0.0520273	+	0.0169047i
$549$	−1.14840	−	23.9638i	−0.0490127	−	1.02275i
$550$	22.8833	+	34.0091i	0.975748	+	1.45015i
$551$			1.30224i			0.0554773i
$552$	3.98711	−	13.3505i	0.169703	−	0.568236i
$553$	0.504419	−	0.366482i	0.0214501	−	0.0155844i
$554$	4.63536	−	6.38002i	0.196937	−	0.271061i
$555$	−20.1146	−	57.2083i	−0.853818	−	2.42836i
$556$	6.68771	−	2.17297i	0.283622	−	0.0921544i
$557$	1.98405	+	1.44149i	0.0840667	+	0.0610780i	0.629025	−	0.777385i	$-0.283454\pi$
$557$	1.98405	+	1.44149i	0.0840667	+	0.0610780i	−0.544958	+	0.838463i	$0.683454\pi$
$558$	−19.7037	+	15.8103i	−0.834124	+	0.669304i
$559$	−13.0457	+	40.1506i	−0.551775	+	1.69819i
$560$	−4.16644			−0.176064
$561$	−5.89149	+	17.4125i	−0.248739	+	0.735156i
$562$	30.7456			1.29692
$563$	3.06343	−	9.42827i	0.129108	−	0.397354i	−0.865519	−	0.500876i	$-0.833011\pi$
$563$	3.06343	−	9.42827i	0.129108	−	0.397354i	0.994627	+	0.103522i	$0.0330112\pi$
$564$	9.45503	−	7.22156i	0.398129	−	0.304082i
$565$	6.08669	+	4.42224i	0.256069	+	0.186045i
$566$	−0.190707	+	0.0619644i	−0.00801601	+	0.00260456i
$567$	−8.25433	+	3.58692i	−0.346649	+	0.150636i
$568$	−1.78050	+	2.45065i	−0.0747082	+	0.102827i
$569$	−25.1939	+	18.3044i	−1.05618	+	0.767361i	−0.973378	−	0.229205i	$-0.926387\pi$
$569$	−25.1939	+	18.3044i	−1.05618	+	0.767361i	−0.0828033	+	0.996566i	$0.526387\pi$
$570$	15.6885	+	4.68535i	0.657119	+	0.196248i
$571$			13.7331i			0.574712i	0.957824	+	0.287356i	$0.0927762\pi$
$571$			13.7331i			0.574712i	−0.957824	+	0.287356i	$0.907224\pi$
$572$	−12.2553	−	9.59731i	−0.512420	−	0.401284i
$573$	8.61534	−	0.206316i	0.359911	−	0.00861898i
$574$	−0.338246	−	0.109903i	−0.0141181	−	0.00458725i
$575$	58.4387	+	80.4339i	2.43706	+	3.35433i
$576$	2.50868	+	1.64516i	0.104528	+	0.0685482i
$577$	−1.01437	−	3.12192i	−0.0422289	−	0.129967i	0.927719	−	0.373278i	$-0.121766\pi$
$577$	−1.01437	−	3.12192i	−0.0422289	−	0.129967i	−0.969948	+	0.243311i	$0.921766\pi$
$578$	−2.08910	−	6.42958i	−0.0868949	−	0.267435i
$579$	−26.4118	−	18.2394i	−1.09764	−	0.758005i
$580$	−1.40562	−	1.93467i	−0.0583652	−	0.0803329i
$581$	−8.06164	−	2.61939i	−0.334453	−	0.108670i
$582$	0.0319982	+	1.33618i	0.00132637	+	0.0553864i
$583$	16.6818	+	0.601486i	0.690889	+	0.0249110i
$584$		−	7.80915i		−	0.323145i
$585$	−15.4366	+	56.5961i	−0.638225	+	2.33996i
$586$	2.13768	−	1.55311i	0.0883067	−	0.0641586i
$587$	4.44595	−	6.11932i	0.183504	−	0.252571i	−0.707348	−	0.706866i	$-0.750109\pi$
$587$	4.44595	−	6.11932i	0.183504	−	0.252571i	0.890852	+	0.454294i	$0.150109\pi$
$588$	−1.63399	+	0.574517i	−0.0673847	+	0.0236927i
$589$	18.1707	−	5.90402i	0.748710	−	0.243271i
$590$	−13.4077	−	9.74128i	−0.551987	−	0.401042i
$591$	−21.4089	−	28.0302i	−0.880643	−	1.15301i
$592$	−2.59673	+	7.99190i	−0.106725	+	0.328465i
$593$	1.94420			0.0798386			0.0399193	−	0.999203i	$-0.487290\pi$
$593$	1.94420			0.0798386			0.0399193	+	0.999203i	$0.487290\pi$
$594$	−5.90854	−	16.1892i	−0.242430	−	0.664250i
$595$	13.3323			0.546572
$596$	−0.995684	+	3.06440i	−0.0407848	+	0.125523i
$597$	−7.38452	−	9.66840i	−0.302228	−	0.395701i
$598$	−30.5442	−	22.1916i	−1.24904	−	0.907484i
$599$	−5.22931	+	1.69911i	−0.213664	+	0.0694236i	−0.413893	−	0.910325i	$-0.635831\pi$
$599$	−5.22931	+	1.69911i	−0.213664	+	0.0694236i	0.200229	+	0.979749i	$0.435831\pi$
$600$	−20.1949	+	7.10060i	−0.824454	+	0.289881i
$601$	7.84374	−	10.7960i	0.319953	−	0.440378i	−0.618500	−	0.785785i	$-0.712259\pi$
$601$	7.84374	−	10.7960i	0.319953	−	0.440378i	0.938453	+	0.345407i	$0.112259\pi$
$602$	−7.27715	+	5.28716i	−0.296595	+	0.215489i
$603$	−3.25757	+	11.9434i	−0.132659	+	0.486374i
$604$		−	3.49070i		−	0.142035i
$605$	−29.5391	+	35.0416i	−1.20093	+	1.42464i
$606$	−0.356157	−	14.8724i	−0.0144679	−	0.604149i
$607$	−23.7988	−	7.73269i	−0.965963	−	0.313860i	−0.216778	−	0.976221i	$-0.569555\pi$
$607$	−23.7988	−	7.73269i	−0.965963	−	0.313860i	−0.749185	+	0.662361i	$0.769555\pi$
$608$	−1.33360	−	1.83554i	−0.0540847	−	0.0744412i
$609$	−0.818030	−	0.564915i	−0.0331482	−	0.0228915i
$610$	−10.2963	−	31.6886i	−0.416883	−	1.28304i
$611$	−9.96221	−	30.6605i	−0.403028	−	1.24039i
$612$	−8.02759	−	5.26439i	−0.324496	−	0.212800i
$613$	11.3358	+	15.6024i	0.457850	+	0.630177i	0.974061	−	0.226285i	$-0.0726580\pi$
$613$	11.3358	+	15.6024i	0.457850	+	0.630177i	−0.516211	+	0.856461i	$0.672658\pi$
$614$	−5.15896	−	1.67625i	−0.208199	−	0.0676479i
$615$	−2.56583	+	0.0614453i	−0.103464	+	0.00247771i
$616$	−0.910569	−	3.18918i	−0.0366879	−	0.128496i
$617$			44.4646i			1.79008i	0.445990	+	0.895038i	$0.352852\pi$
$617$			44.4646i			1.79008i	−0.445990	+	0.895038i	$0.647148\pi$
$618$	5.70100	+	1.70259i	0.229328	+	0.0684883i
$619$	13.7220	−	9.96960i	0.551533	−	0.400712i	−0.276817	−	0.960923i	$-0.589280\pi$
$619$	13.7220	−	9.96960i	0.551533	−	0.400712i	0.828350	+	0.560210i	$0.189280\pi$
$620$	−20.6225	+	28.3845i	−0.828221	+	1.13995i
$621$	−15.7365	−	38.7242i	−0.631483	−	1.55395i
$622$	−11.6451	+	3.78372i	−0.466926	+	0.151713i
$623$	−4.12912	−	2.99998i	−0.165430	−	0.120192i
$624$	6.46029	−	4.93424i	0.258619	−	0.197528i
$625$	20.3812	−	62.7268i	0.815247	−	2.50907i
$626$	−1.32025			−0.0527679
$627$	−0.157675	+	13.0326i	−0.00629694	+	0.520474i
$628$	−1.82843			−0.0729621
$629$	8.30934	−	25.5735i	0.331315	−	1.01968i
$630$	−9.74890	+	7.82255i	−0.388405	+	0.311658i
$631$	−33.5777	−	24.3956i	−1.33671	−	0.971175i	−0.999558	−	0.0297241i	$-0.990537\pi$
$631$	−33.5777	−	24.3956i	−1.33671	−	0.971175i	−0.337150	−	0.941451i	$-0.609463\pi$
$632$	−0.592980	+	0.192671i	−0.0235875	+	0.00766403i
$633$	8.04881	+	22.8918i	0.319911	+	0.909865i
$634$	−6.93032	+	9.53877i	−0.275238	+	0.378833i
$635$	34.3422	−	24.9511i	1.36283	−	0.990154i
$636$	−2.49458	+	8.35289i	−0.0989164	+	0.331214i
$637$			4.69333i			0.185957i
$638$	1.17369	−	1.49874i	0.0464667	−	0.0593358i
$639$	0.434998	+	9.07710i	0.0172082	+	0.359084i
$640$	3.96252	+	1.28750i	0.156632	+	0.0508930i
$641$	−24.7708	−	34.0941i	−0.978389	−	1.34664i	−0.937693	−	0.347466i	$-0.887042\pi$
$641$	−24.7708	−	34.0941i	−0.978389	−	1.34664i	−0.0406964	−	0.999172i	$-0.512958\pi$
$642$	9.09225	−	13.1661i	0.358842	−	0.519625i
$643$	7.56745	+	23.2902i	0.298431	+	0.918476i	0.982047	+	0.188635i	$0.0604062\pi$
$643$	7.56745	+	23.2902i	0.298431	+	0.918476i	−0.683616	+	0.729842i	$0.739594\pi$
$644$	−2.48583	−	7.65061i	−0.0979555	−	0.301476i
$645$	−36.8866	+	53.4139i	−1.45241	+	2.10317i
$646$	4.26743	+	5.87361i	0.167900	+	0.231094i
$647$	−5.67520	−	1.84399i	−0.223115	−	0.0724946i	0.195326	−	0.980738i	$-0.437423\pi$
$647$	−5.67520	−	1.84399i	−0.223115	−	0.0724946i	−0.418441	+	0.908244i	$0.637423\pi$
$648$	8.95876	−	0.860629i	0.351933	−	0.0338087i
$649$	4.52617	−	12.3918i	0.177668	−	0.486421i
$650$			58.0061i			2.27519i
$651$	−4.17375	+	13.9755i	−0.163582	+	0.547742i
$652$	14.4312	−	10.4849i	0.565171	−	0.410621i
$653$	15.9037	−	21.8896i	0.622361	−	0.856606i	−0.375161	−	0.926959i	$-0.622413\pi$
$653$	15.9037	−	21.8896i	0.622361	−	0.856606i	0.997522	+	0.0703535i	$0.0224127\pi$
$654$	9.94011	+	28.2708i	0.388689	+	1.10548i
$655$	53.8239	−	17.4884i	2.10307	−	0.683330i
$656$	0.287729	+	0.209047i	0.0112339	+	0.00816193i
$657$	−14.6618	−	18.2723i	−0.572010	−	0.712872i
$658$	2.12263	−	6.53278i	0.0827488	−	0.254674i
$659$	27.3801			1.06658			0.533288	−	0.845934i	$-0.320956\pi$
$659$	27.3801			1.06658			0.533288	+	0.845934i	$0.320956\pi$
$660$	−13.8330	−	19.5321i	−0.538449	−	0.760286i
$661$	29.5440			1.14913			0.574564	−	0.818460i	$-0.305172\pi$
$661$	29.5440			1.14913			0.574564	+	0.818460i	$0.305172\pi$
$662$	−8.63296	+	26.5695i	−0.335530	+	1.03265i
$663$	−20.6725	+	15.7892i	−0.802853	+	0.613202i
$664$	6.85764	+	4.98237i	0.266128	+	0.193353i
$665$	8.99040	−	2.92116i	0.348633	−	0.113278i
$666$	8.92891	+	23.5753i	0.345988	+	0.913525i
$667$	2.71389	−	3.73535i	0.105082	−	0.144633i
$668$	−10.9872	+	7.98266i	−0.425107	+	0.308858i
$669$	20.3478	+	6.07684i	0.786692	+	0.234944i
$670$			17.1931i			0.664229i
$671$	22.0056	−	14.8067i	0.849518	−	0.571607i
$672$	1.73155	−	0.0414664i	0.0667962	−	0.00159960i
$673$	38.4883	+	12.5056i	1.48362	+	0.482056i	0.935191	−	0.354144i	$-0.115228\pi$
$673$	38.4883	+	12.5056i	1.48362	+	0.482056i	0.548425	+	0.836200i	$0.315228\pi$
$674$	−15.8003	−	21.7473i	−0.608606	−	0.837674i
$675$	−33.9219	+	54.5306i	−1.30565	+	2.09888i
$676$	−2.78961	−	8.58554i	−0.107293	−	0.330213i
$677$	9.08832	+	27.9710i	0.349292	+	1.07501i	0.959245	+	0.282574i	$0.0911883\pi$
$677$	9.08832	+	27.9710i	0.349292	+	1.07501i	−0.609953	+	0.792438i	$0.708812\pi$
$678$	−2.57361	−	1.77728i	−0.0988389	−	0.0682562i
$679$	0.453573	+	0.624289i	0.0174065	+	0.0239580i
$680$	−12.6798	−	4.11991i	−0.486248	−	0.157991i
$681$	0.596923	+	24.9263i	0.0228741	+	0.955178i
$682$	−26.2338	−	9.58202i	−1.00454	−	0.366914i
$683$			18.5956i			0.711542i	0.934573	+	0.355771i	$0.115782\pi$
$683$			18.5956i			0.711542i	−0.934573	+	0.355771i	$0.884218\pi$
$684$	−6.56670	−	1.79107i	−0.251084	−	0.0684832i
$685$	4.31656	−	3.13617i	0.164927	−	0.119827i
$686$	−0.587785	+	0.809017i	−0.0224417	+	0.0308884i
$687$	−19.3415	+	6.80052i	−0.737924	+	0.259456i
$688$	8.55481	−	2.77963i	0.326149	−	0.105972i
$689$	19.1103	+	13.8844i	0.728044	+	0.528955i
$690$	−35.2366	−	46.1345i	−1.34143	−	1.75631i
$691$	16.1573	−	49.7271i	0.614653	−	1.89171i	0.207988	−	0.978131i	$-0.433309\pi$
$691$	16.1573	−	49.7271i	0.614653	−	1.89171i	0.406665	−	0.913577i	$-0.366691\pi$
$692$	20.7250			0.787848
$693$	−8.11833	−	5.75263i	−0.308390	−	0.218524i
$694$	24.1632			0.917223
$695$	9.05355	−	27.8640i	0.343421	−	1.05694i
$696$	0.603424	+	0.790051i	0.0228727	+	0.0299468i
$697$	−0.920713	−	0.668937i	−0.0348745	−	0.0253378i
$698$	−8.30572	+	2.69869i	−0.314376	+	0.102147i
$699$	−24.0506	+	8.45628i	−0.909679	+	0.319846i
$700$	−7.26459	+	9.99884i	−0.274576	+	0.377921i
$701$	−16.1390	+	11.7257i	−0.609562	+	0.442872i	−0.849260	−	0.527975i	$-0.822951\pi$
$701$	−16.1390	+	11.7257i	−0.609562	+	0.442872i	0.239698	+	0.970847i	$0.422951\pi$
$702$	5.85211	−	23.6747i	0.220873	−	0.893544i
$703$		−	19.0656i		−	0.719074i
$704$	−0.119508	+	3.31447i	−0.00450413	+	0.124919i
$705$	−1.18674	−	49.5557i	−0.0446951	−	1.86638i
$706$	20.9626	+	6.81115i	0.788936	+	0.256341i
$707$	−5.04851	−	6.94867i	−0.189869	−	0.261332i
$708$	5.66914	+	3.91499i	0.213059	+	0.147134i
$709$	6.78881	+	20.8938i	0.254959	+	0.784683i	0.993838	+	0.110845i	$0.0353557\pi$
$709$	6.78881	+	20.8938i	0.254959	+	0.784683i	−0.738879	+	0.673839i	$0.764644\pi$
$710$	3.90006	+	12.0032i	0.146367	+	0.450471i
$711$	−1.02575	+	1.56415i	−0.0384686	+	0.0586602i
$712$	2.99998	+	4.12912i	0.112429	+	0.154745i
$713$	−64.4249	−	20.9329i	−2.41273	−	0.783944i
$714$	−5.54085	+	0.132690i	−0.207361	+	0.00496579i
$715$	−62.3628	+	17.8057i	−2.33224	+	0.665896i
$716$			18.0928i			0.676159i
$717$	1.96747	+	0.587583i	0.0734766	+	0.0219437i
$718$	−8.35442	+	6.06984i	−0.311784	+	0.226525i
$719$	7.02478	−	9.66878i	0.261980	−	0.360585i	−0.657682	−	0.753296i	$-0.728463\pi$
$719$	7.02478	−	9.66878i	0.261980	−	0.360585i	0.919662	+	0.392711i	$0.128463\pi$
$720$	11.6891	−	4.42711i	0.435625	−	0.164989i
$721$	3.26699	−	1.06151i	0.121669	−	0.0395327i
$722$	−11.2067	−	8.14217i	−0.417071	−	0.303020i
$723$	−32.7288	+	24.9976i	−1.21720	+	0.929671i
$724$	−1.48903	+	4.58276i	−0.0553393	+	0.170317i
$725$	−7.09376			−0.263456
$726$	11.9276	−	14.8571i	0.442673	−	0.551399i
$727$	−3.86742			−0.143435			−0.0717173	−	0.997425i	$-0.522848\pi$
$727$	−3.86742			−0.143435			−0.0717173	+	0.997425i	$0.522848\pi$
$728$	1.45032	−	4.46362i	0.0537524	−	0.165433i
$729$	19.3464	−	18.8339i	0.716534	−	0.697553i
$730$	−26.3225	−	19.1244i	−0.974239	−	0.707826i
$731$	−27.3748	+	8.89460i	−1.01249	+	0.328979i
$732$	4.59446	+	13.0672i	0.169816	+	0.482977i
$733$	−2.71145	+	3.73199i	−0.100150	+	0.137844i	−0.856151	−	0.516726i	$-0.827150\pi$
$733$	−2.71145	+	3.73199i	−0.100150	+	0.137844i	0.756001	+	0.654570i	$0.227150\pi$
$734$	4.12517	−	2.99711i	0.152263	−	0.110625i
$735$	−2.06507	+	6.91471i	−0.0761712	+	0.255053i
$736$			8.04432i			0.296518i
$737$	−13.1604	+	3.75753i	−0.484769	+	0.138410i
$738$	1.06574	−	0.0510727i	0.0392303	−	0.00188001i
$739$	19.5081	+	6.33856i	0.717616	+	0.233168i	0.644989	−	0.764192i	$-0.276862\pi$
$739$	19.5081	+	6.33856i	0.717616	+	0.233168i	0.0726267	+	0.997359i	$0.476862\pi$
$740$	20.5792	+	28.3248i	0.756506	+	1.04124i
$741$	−10.4806	+	15.1766i	−0.385016	+	0.557525i
$742$	1.55529	+	4.78668i	0.0570964	+	0.175725i
$743$	1.54221	+	4.74642i	0.0565781	+	0.174129i	0.975352	−	0.220655i	$-0.0708194\pi$
$743$	1.54221	+	4.74642i	0.0565781	+	0.174129i	−0.918774	+	0.394784i	$0.870819\pi$
$744$	8.28813	−	12.0017i	0.303858	−	0.440004i
$745$	7.89084	+	10.8608i	0.289098	+	0.397909i
$746$	−3.48334	−	1.13180i	−0.127534	−	0.0414383i
$747$	25.4004	−	1.21725i	0.929352	−	0.0445369i
$748$	0.382417	−	10.6061i	0.0139826	−	0.387796i
$749$		−	9.23788i		−	0.337545i
$750$	−15.1974	+	50.8871i	−0.554929	+	1.85813i
$751$	−18.7883	+	13.6505i	−0.685594	+	0.498113i	−0.875209	−	0.483746i	$-0.839276\pi$
$751$	−18.7883	+	13.6505i	−0.685594	+	0.498113i	0.189615	+	0.981859i	$0.439276\pi$
$752$	−4.03748	+	5.55712i	−0.147232	+	0.202647i
$753$	12.9720	+	36.8938i	0.472725	+	1.34448i
$754$	2.56196	−	0.832430i	0.0933010	−	0.0303153i
$755$	−11.7662	−	8.54864i	−0.428215	−	0.311117i
$756$	3.97374	−	3.34804i	0.144524	−	0.121767i
$757$	−7.69495	+	23.6826i	−0.279678	+	0.860760i	0.708266	+	0.705946i	$0.249478\pi$
$757$	−7.69495	+	23.6826i	−0.279678	+	0.860760i	−0.987944	+	0.154814i	$0.950522\pi$
$758$	−16.1902			−0.588055
$759$	27.6125	−	37.0542i	1.00227	−	1.34498i
$760$	−9.45307			−0.342899
$761$	−12.3774	+	38.0939i	−0.448682	+	1.38090i	0.429713	+	0.902966i	$0.358615\pi$
$761$	−12.3774	+	38.0939i	−0.448682	+	1.38090i	−0.878395	+	0.477936i	$0.841385\pi$
$762$	−14.0241	+	10.7113i	−0.508041	+	0.388031i
$763$	13.9974	+	10.1697i	0.506739	+	0.368167i
$764$	−4.73198	+	1.53751i	−0.171197	+	0.0556253i
$765$	−37.4041	+	14.1664i	−1.35235	+	0.512188i
$766$	13.8388	−	19.0475i	0.500016	−	0.688213i
$767$	15.1033	−	10.9732i	0.545347	−	0.396218i
$768$	−1.65962	−	0.495643i	−0.0598864	−	0.0178850i
$769$		−	47.5048i		−	1.71307i	−0.516091	−	0.856534i	$-0.672613\pi$
$769$		−	47.5048i		−	1.71307i	0.516091	−	0.856534i	$-0.327387\pi$
$770$	−12.9798	−	4.74094i	−0.467760	−	0.170852i
$771$	−20.1552	+	0.482666i	−0.725870	+	0.0173828i
$772$	17.6246	+	5.72657i	0.634322	+	0.206104i
$773$	15.2459	+	20.9841i	0.548356	+	0.754747i	0.989788	−	0.142548i	$-0.0455295\pi$
$773$	15.2459	+	20.9841i	0.548356	+	0.754747i	−0.441432	+	0.897295i	$0.645529\pi$
$774$	14.7983	−	22.5657i	0.531913	−	0.811107i
$775$	32.1612	+	98.9820i	1.15526	+	3.55554i
$776$	−0.238457	−	0.733896i	−0.00856012	−	0.0263453i
$777$	11.9765	+	8.27071i	0.429653	+	0.296710i
$778$	−8.84009	−	12.1673i	−0.316933	−	0.436221i
$779$	−0.767432	−	0.249354i	−0.0274961	−	0.00893402i
$780$	−0.810856	−	33.8597i	−0.0290333	−	1.21237i
$781$	−8.33540	+	5.60855i	−0.298264	+	0.200690i
$782$		−	25.7413i		−	0.920506i
$783$	2.89526	+	0.715674i	0.103468	+	0.0255761i
$784$	0.809017	−	0.587785i	0.0288935	−	0.0209923i
$785$	−4.47777	+	6.16312i	−0.159818	+	0.219971i
$786$	−22.1949	+	7.80380i	−0.791666	+	0.278352i
$787$	−24.9386	+	8.10305i	−0.888965	+	0.288842i	−0.717675	−	0.696378i	$-0.754794\pi$
$787$	−24.9386	+	8.10305i	−0.888965	+	0.288842i	−0.171290	+	0.985221i	$0.554794\pi$
$788$	16.4745	+	11.9694i	0.586880	+	0.426394i
$789$	−4.51549	−	5.91204i	−0.160756	−	0.210474i
$790$	−0.802752	+	2.47062i	−0.0285606	+	0.0879006i
$791$	−1.80575			−0.0642051
$792$	5.94333	+	7.97978i	0.211187	+	0.283549i
$793$	37.5330			1.33283
$794$	−11.4710	+	35.3042i	−0.407092	+	1.25290i
$795$	22.0461	+	28.8645i	0.781895	+	1.02372i
$796$	5.68252	+	4.12859i	0.201412	+	0.146334i
$797$	2.56293	−	0.832748i	0.0907838	−	0.0294974i	−0.263273	−	0.964721i	$-0.584802\pi$
$797$	2.56293	−	0.832748i	0.0907838	−	0.0294974i	0.354057	+	0.935224i	$0.384802\pi$
$798$	−3.70730	+	1.30350i	−0.131237	+	0.0461433i
$799$	12.9197	−	17.7824i	0.457065	−	0.629096i
$800$	9.99884	−	7.26459i	0.353513	−	0.256842i
$801$	14.7720	+	4.02907i	0.521943	+	0.142360i
$802$			12.5637i			0.443640i
$803$	8.88593	−	24.3280i	0.313578	−	0.858516i
$804$	−0.171114	−	7.14539i	−0.00603474	−	0.251998i
$805$	−31.8758	−	10.3571i	−1.12348	−	0.365039i
$806$	−23.2305	−	31.9740i	−0.818258	−	1.12624i
$807$	27.7694	+	19.1770i	0.977528	+	0.675061i
$808$	2.65416	+	8.16865i	0.0933729	+	0.287372i
$809$	−7.45713	−	22.9507i	−0.262179	−	0.806903i	−0.992330	−	0.123617i	$-0.960550\pi$
$809$	−7.45713	−	22.9507i	−0.262179	−	0.806903i	0.730151	−	0.683285i	$-0.239450\pi$
$810$	19.0388	−	32.3052i	0.668956	−	1.13509i
$811$	18.4479	+	25.3914i	0.647793	+	0.891611i	0.999001	−	0.0446864i	$-0.0142289\pi$
$811$	18.4479	+	25.3914i	0.647793	+	0.891611i	−0.351208	+	0.936298i	$0.614229\pi$
$812$	0.545872	+	0.177364i	0.0191563	+	0.00622427i
$813$	−14.7034	+	0.352109i	−0.515670	+	0.0123490i
$814$	−17.1835	+	21.9425i	−0.602282	+	0.769086i
$815$		−	74.3210i		−	2.60335i
$816$	5.31067	+	1.58602i	0.185910	+	0.0555219i
$817$	−16.5108	+	11.9958i	−0.577641	+	0.419681i
$818$	−5.38079	+	7.40602i	−0.188135	+	0.258946i
$819$	−4.98696	−	13.1673i	−0.174258	−	0.460101i
$820$	1.40928	−	0.457904i	0.0492143	−	0.0159907i
$821$	4.89535	+	3.55668i	0.170849	+	0.124129i	0.669924	−	0.742430i	$-0.266327\pi$
$821$	4.89535	+	3.55668i	0.170849	+	0.124129i	−0.499075	+	0.866559i	$0.666327\pi$
$822$	−1.76273	+	1.34634i	−0.0614823	+	0.0469589i
$823$	6.63916	−	20.4332i	0.231426	−	0.712257i	−0.766149	−	0.642663i	$-0.777830\pi$
$823$	6.63916	−	20.4332i	0.231426	−	0.712257i	0.997575	−	0.0695943i	$-0.0221705\pi$
$824$	−3.43512			−0.119668
$825$	−70.9933	−	0.858912i	−2.47167	−	0.0299035i
$826$	3.97770			0.138402
$827$	−6.61918	+	20.3718i	−0.230172	+	0.708395i	0.767554	+	0.640985i	$0.221474\pi$
$827$	−6.61918	+	20.3718i	−0.230172	+	0.708395i	−0.997725	+	0.0674107i	$0.978526\pi$
$828$	15.1033	+	18.8226i	0.524876	+	0.654131i
$829$	31.9794	+	23.2344i	1.11069	+	0.806965i	0.982772	−	0.184820i	$-0.0591702\pi$
$829$	31.9794	+	23.2344i	1.11069	+	0.806965i	0.127919	+	0.991785i	$0.459170\pi$
$830$	33.5884	−	10.9135i	1.16587	−	0.378814i
$831$	4.53072	+	12.8859i	0.157169	+	0.447007i
$832$	−2.75867	+	3.79699i	−0.0956397	+	0.131637i
$833$	−2.58880	+	1.88087i	−0.0896965	+	0.0651683i
$834$	−3.48530	+	11.6702i	−0.120686	+	0.404107i
$835$			56.5841i			1.95817i
$836$	−2.06595	−	7.23579i	−0.0714524	−	0.250255i
$837$	−3.14026	−	43.6434i	−0.108543	−	1.50854i
$838$	−29.3930	−	9.55035i	−1.01536	−	0.329911i
$839$	−5.68407	−	7.82345i	−0.196236	−	0.270096i	0.699548	−	0.714586i	$-0.253385\pi$
$839$	−5.68407	−	7.82345i	−0.196236	−	0.270096i	−0.895784	+	0.444490i	$0.853385\pi$
$840$	4.10076	−	5.93814i	0.141490	−	0.204885i
$841$	−8.85969	−	27.2673i	−0.305507	−	0.940253i
$842$	2.03664	+	6.26813i	0.0701872	+	0.216014i
$843$	−30.2609	+	43.8195i	−1.04224	+	1.50922i
$844$	−8.23470	−	11.3341i	−0.283450	−	0.390135i
$845$	−35.7712	−	11.6228i	−1.23057	−	0.399835i
$846$	0.986404	+	20.5833i	0.0339133	+	0.707669i
$847$	0.792212	−	10.9714i	0.0272207	−	0.376983i
$848$		−	5.03301i		−	0.172834i
$849$	0.0993869	−	0.332789i	0.00341095	−	0.0114213i
$850$	−31.9956	+	23.2462i	−1.09744	+	0.797337i
$851$	−39.7331	+	54.6879i	−1.36203	+	1.87468i
$852$	−1.74031	−	4.94964i	−0.0596220	−	0.169572i
$853$	−19.3957	+	6.30206i	−0.664098	+	0.215778i	−0.621620	−	0.783319i	$-0.713525\pi$
$853$	−19.3957	+	6.30206i	−0.664098	+	0.215778i	−0.0424778	+	0.999097i	$0.513525\pi$
$854$	6.46978	+	4.70057i	0.221391	+	0.160850i
$855$	−22.1189	+	17.7482i	−0.756449	+	0.606977i
$856$	−2.85466	+	8.78575i	−0.0975704	+	0.300291i
$857$	−26.5388			−0.906548			−0.453274	−	0.891371i	$-0.649744\pi$
$857$	−26.5388			−0.906548			−0.453274	+	0.891371i	$0.649744\pi$
$858$	25.7405	−	8.02064i	0.878766	−	0.273820i
$859$	31.1870			1.06409			0.532044	−	0.846717i	$-0.321424\pi$
$859$	31.1870			1.06409			0.532044	+	0.846717i	$0.321424\pi$
$860$	11.5812	−	35.6431i	0.394914	−	1.21542i
$861$	0.489550	−	0.373908i	0.0166838	−	0.0127428i
$862$	−32.2354	−	23.4204i	−1.09794	−	0.797701i
$863$	10.2641	−	3.33501i	0.349394	−	0.113525i	−0.129062	−	0.991637i	$-0.541197\pi$
$863$	10.2641	−	3.33501i	0.349394	−	0.113525i	0.478456	+	0.878111i	$0.341197\pi$
$864$	−4.81386	+	1.95622i	−0.163771	+	0.0665520i
$865$	50.7551	−	69.8584i	1.72572	−	2.37526i
$866$	21.5880	−	15.6846i	0.733591	−	0.532985i
$867$	11.2198	+	3.35077i	0.381044	+	0.113798i
$868$		−	8.42089i		−	0.285824i
$869$	−2.06656	−	0.0745128i	−0.0701032	−	0.00252767i
$870$	4.14081	−	0.0991623i	0.140387	−	0.00336192i
$871$	−18.4195	−	5.98485i	−0.624120	−	0.202789i
$872$	−10.1697	−	13.9974i	−0.344389	−	0.474010i
$873$	−1.93586	−	1.26951i	−0.0655188	−	0.0429664i
$874$	−5.64000	−	17.3581i	−0.190776	−	0.587148i
$875$	9.47505	+	29.1612i	0.320315	+	0.985829i
$876$	11.1298	+	7.68604i	0.376042	+	0.259687i
$877$	−32.9022	−	45.2860i	−1.11103	−	1.52920i	−0.819894	−	0.572516i	$-0.805968\pi$
$877$	−32.9022	−	45.2860i	−1.11103	−	1.52920i	−0.291134	−	0.956682i	$-0.594032\pi$
$878$	−24.3418	−	7.90913i	−0.821496	−	0.266920i
$879$	0.109567	+	4.57531i	0.00369562	+	0.154321i
$880$	10.8795	+	8.51988i	0.366748	+	0.287205i
$881$			2.83719i			0.0955872i	0.998857	+	0.0477936i	$0.0152190\pi$
$881$			2.83719i			0.0955872i	−0.998857	+	0.0477936i	$0.984781\pi$
$882$	0.789414	−	2.89427i	0.0265809	−	0.0974553i
$883$	−37.3624	+	27.1453i	−1.25734	+	0.913514i	−0.998624	−	0.0524388i	$-0.983301\pi$
$883$	−37.3624	+	27.1453i	−1.25734	+	0.913514i	−0.258720	+	0.965952i	$0.583301\pi$
$884$	8.82755	−	12.1501i	0.296903	−	0.408652i
$885$	27.0799	−	9.52138i	0.910281	−	0.320058i
$886$	31.3242	−	10.1779i	1.05236	−	0.341932i
$887$	19.7073	+	14.3182i	0.661705	+	0.480757i	0.867238	−	0.497893i	$-0.165893\pi$
$887$	19.7073	+	14.3182i	0.661705	+	0.480757i	−0.205533	+	0.978650i	$0.565893\pi$
$888$	−8.83451	−	11.5668i	−0.296467	−	0.388158i
$889$	−3.14838	+	9.68973i	−0.105593	+	0.324983i
$890$	21.2650			0.712804
$891$	28.8887	+	7.51292i	0.967807	+	0.251692i
$892$	−12.2605			−0.410513
$893$	4.81595	−	14.8220i	0.161160	−	0.495998i
$894$	−3.38749	−	4.43517i	−0.113295	−	0.148334i
$895$	60.9858	+	44.3088i	2.03853	+	1.48108i
$896$	−0.951057	+	0.309017i	−0.0317726	+	0.0103235i
$897$	61.6909	−	21.6907i	2.05980	−	0.724231i
$898$	−2.58473	+	3.55757i	−0.0862535	+	0.118718i
$899$	3.91021	−	2.84093i	0.130413	−	0.0947504i
$900$	9.75657	−	35.7711i	0.325219	−	1.19237i
$901$			16.1053i			0.536545i
$902$	0.658496	+	0.978653i	0.0219255	+	0.0325856i
$903$	−0.372993	−	15.5754i	−0.0124124	−	0.518318i
$904$	1.71737	+	0.558008i	0.0571189	+	0.0185591i
$905$	11.8006	+	16.2422i	0.392266	+	0.539908i
$906$	4.97505	+	3.43567i	0.165285	+	0.114143i
$907$	−4.13143	−	12.7152i	−0.137182	−	0.422202i	0.858741	−	0.512410i	$-0.171247\pi$
$907$	−4.13143	−	12.7152i	−0.137182	−	0.422202i	−0.995923	+	0.0902073i	$0.971247\pi$
$908$	−4.44840	−	13.6908i	−0.147625	−	0.454344i
$909$	21.5471	+	14.1303i	0.714672	+	0.468673i
$910$	−11.4938	−	15.8199i	−0.381017	−	0.524425i
$911$	2.90231	+	0.943019i	0.0961579	+	0.0312436i	0.356701	−	0.934219i	$-0.383902\pi$
$911$	2.90231	+	0.943019i	0.0961579	+	0.0312436i	−0.260543	+	0.965462i	$0.583902\pi$
$912$	3.92865	−	0.0940815i	0.130091	−	0.00311535i
$913$	15.6944	+	23.3249i	0.519408	+	0.771941i
$914$			5.33931i			0.176609i
$915$	55.2975	+	16.5145i	1.82808	+	0.545953i
$916$	9.57629	−	6.95758i	0.316410	−	0.229885i
$917$	−7.98403	+	10.9891i	−0.263656	+	0.362891i
$918$	15.4040	−	6.25976i	0.508408	−	0.206603i
$919$	−6.95970	+	2.26135i	−0.229579	+	0.0745949i	−0.421548	−	0.906806i	$-0.638513\pi$
$919$	−6.95970	+	2.26135i	−0.229579	+	0.0745949i	0.191968	+	0.981401i	$0.438513\pi$
$920$	27.1152	+	19.7003i	0.893961	+	0.649501i
$921$	7.46667	−	5.70289i	0.246035	−	0.187917i
$922$	3.29664	−	10.1460i	0.108569	−	0.334142i
$923$	−14.2169			−0.467955
$924$	5.44153	+	1.84113i	0.179013	+	0.0605688i
$925$	103.857			3.41480
$926$	11.0671	−	34.0611i	0.363688	−	1.11932i
$927$	−8.03771	+	6.44948i	−0.263993	+	0.211829i
$928$	−0.464346	−	0.337367i	−0.0152429	−	0.0110746i
$929$	9.70275	−	3.15262i	0.318337	−	0.103434i	−0.145490	−	0.989360i	$-0.546476\pi$
$929$	9.70275	−	3.15262i	0.318337	−	0.103434i	0.463827	+	0.885926i	$0.346476\pi$
$930$	−20.1570	−	57.3289i	−0.660974	−	1.87989i
$931$	−1.33360	+	1.83554i	−0.0437070	+	0.0601575i
$932$	11.9079	−	8.65158i	0.390055	−	0.283392i
$933$	6.06884	−	20.3210i	0.198685	−	0.665280i
$934$		−	9.07827i		−	0.297050i
$935$	−34.8136	−	27.2630i	−1.13853	−	0.891596i
$936$	0.673976	+	14.0639i	0.0220296	+	0.459692i
$937$	−17.5353	−	5.69757i	−0.572854	−	0.186131i	0.00824294	−	0.999966i	$-0.497376\pi$
$937$	−17.5353	−	5.69757i	−0.572854	−	0.186131i	−0.581097	+	0.813835i	$0.697376\pi$
$938$	−2.42554	−	3.33847i	−0.0791967	−	0.109005i
$939$	1.29944	−	1.88166i	0.0424056	−	0.0614058i
$940$	8.84382	+	27.2185i	0.288454	+	0.887769i
$941$	16.1469	+	49.6950i	0.526374	+	1.62001i	0.761583	+	0.648067i	$0.224422\pi$
$941$	16.1469	+	49.6950i	0.526374	+	1.62001i	−0.235210	+	0.971945i	$0.575578\pi$
$942$	1.79960	−	2.60593i	0.0586342	−	0.0849057i
$943$	1.68165	+	2.31459i	0.0547619	+	0.0753733i
$944$	−3.78302	−	1.22918i	−0.123127	−	0.0400063i
$945$	−1.55372	−	21.5937i	−0.0505425	−	0.702442i
$946$	29.8139	+	1.07498i	0.969332	+	0.0349507i
$947$		−	34.0638i		−	1.10692i	−0.832875	−	0.553462i	$-0.813307\pi$
$947$		−	34.0638i		−	1.10692i	0.832875	−	0.553462i	$-0.186693\pi$
$948$	0.309031	−	1.03477i	0.0100369	−	0.0336076i
$949$	29.6512	−	21.5429i	0.962520	−	0.699312i
$950$	−16.4823	+	22.6860i	−0.534757	+	0.736030i
$951$	−6.77388	−	19.2657i	−0.219658	−	0.624733i
$952$	3.04331	−	0.988832i	0.0986343	−	0.0320482i
$953$	18.5744	+	13.4951i	0.601685	+	0.437150i	0.846477	−	0.532426i	$-0.178720\pi$
$953$	18.5744	+	13.4951i	0.601685	+	0.437150i	−0.244792	+	0.969576i	$0.578720\pi$
$954$	−9.44954	−	11.7766i	−0.305940	−	0.381280i
$955$	−6.40596	+	19.7155i	−0.207292	+	0.637979i
$956$	−1.18550			−0.0383417
$957$	0.980871	+	3.14789i	0.0317071	+	0.101757i
$958$	5.86472			0.189480
$959$	−0.395729	+	1.21793i	−0.0127787	+	0.0393289i
$960$	−5.73504	+	4.38030i	−0.185098	+	0.141374i
$961$	−32.2890	−	23.4593i	−1.04158	−	0.756752i
$962$	−37.5087	+	12.1873i	−1.20933	+	0.392934i
$963$	9.81583	+	25.9171i	0.316311	+	0.835167i
$964$	13.9758	−	19.2361i	0.450132	−	0.619553i
$965$	62.4648	−	45.3833i	2.01081	−	1.46094i
$966$	13.3505	+	3.98711i	0.429546	+	0.128283i
$967$		−	47.0453i		−	1.51287i	−0.654067	−	0.756437i	$-0.726939\pi$
$967$		−	47.0453i		−	1.51287i	0.654067	−	0.756437i	$-0.273061\pi$
$968$	−4.14380	+	10.1896i	−0.133187	+	0.327508i
$969$	−12.5714	+	0.301054i	−0.403852	+	0.00967125i
$970$	−3.05774	−	0.993519i	−0.0981780	−	0.0319000i
$971$	−14.2673	−	19.6373i	−0.457861	−	0.630191i	0.516203	−	0.856467i	$-0.327345\pi$
$971$	−14.2673	−	19.6373i	−0.457861	−	0.630191i	−0.974063	+	0.226275i	$0.927345\pi$
$972$	−7.59093	+	13.6154i	−0.243479	+	0.436713i
$973$	2.17297	+	6.68771i	0.0696622	+	0.214398i
$974$	4.33437	+	13.3398i	0.138882	+	0.427435i
$975$	−82.6720	−	57.0916i	−2.64762	−	1.82839i
$976$	−4.70057	−	6.46978i	−0.150462	−	0.207093i
$977$	11.7692	+	3.82406i	0.376531	+	0.122342i	0.491168	−	0.871065i	$-0.336570\pi$
$977$	11.7692	+	3.82406i	0.376531	+	0.122342i	−0.114636	+	0.993408i	$0.536570\pi$
$978$	0.739678	+	30.8874i	0.0236523	+	0.987672i
$979$	4.64742	+	16.2772i	0.148532	+	0.520220i
$980$		−	4.16644i		−	0.133092i
$981$	−50.0758	−	13.6582i	−1.59880	−	0.436073i
$982$	1.51738	−	1.10244i	0.0484217	−	0.0351804i
$983$	6.47272	−	8.90894i	0.206448	−	0.284151i	−0.693220	−	0.720726i	$-0.743809\pi$
$983$	6.47272	−	8.90894i	0.206448	−	0.284151i	0.899668	+	0.436575i	$0.143809\pi$
$984$	−0.581134	+	0.204328i	−0.0185259	+	0.00651375i
$985$	80.6913	−	26.2182i	2.57104	−	0.835381i
$986$	1.48587	+	1.07955i	0.0473199	+	0.0343799i
$987$	7.22156	+	9.45503i	0.229865	+	0.300957i
$988$	3.29057	−	10.1273i	0.104687	−	0.322193i
$989$	72.3592			2.30089
$990$	41.4527	−	0.491032i	1.31745	−	0.0156060i
$991$	−24.3087			−0.772191			−0.386096	−	0.922459i	$-0.626177\pi$
$991$	−24.3087			−0.772191			−0.386096	+	0.922459i	$0.626177\pi$
$992$	−2.60220	+	8.00874i	−0.0826198	+	0.254278i
$993$	−29.3708	−	38.4546i	−0.932055	−	1.22032i
$994$	−2.45065	−	1.78050i	−0.0777299	−	0.0564741i
$995$	27.8327	−	9.04339i	0.882356	−	0.286695i
$996$	−13.8506	+	4.86990i	−0.438872	+	0.154309i
$997$	−34.4492	+	47.4152i	−1.09102	+	1.50165i	−0.244232	+	0.969717i	$0.578536\pi$
$997$	−34.4492	+	47.4152i	−1.09102	+	1.50165i	−0.846784	+	0.531937i	$0.821464\pi$
$998$	7.01669	−	5.09792i	0.222109	−	0.161372i
$999$	−42.3884	−	10.4779i	−1.34111	−	0.331506i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.365.9	yes	48
3.2	odd	2		462.2.w.b.365.5	yes	48
11.6	odd	10		462.2.w.b.281.5	yes	48
33.17	even	10	inner	462.2.w.a.281.9	✓	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.9	✓	48	33.17	even	10	inner
462.2.w.a.365.9	yes	48	1.1	even	1	trivial
462.2.w.b.281.5	yes	48	11.6	odd	10
462.2.w.b.365.5	yes	48	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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 - 0.951057i) q^{2} +(1.05133 + 1.37648i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-3.96252 + 1.28750i) q^{5} +(1.63399 - 0.574517i) q^{6} +(0.587785 - 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.789414 + 2.89427i) q^{9} +O(q^{10})\)	\(q+(0.309017 - 0.951057i) q^{2} +(1.05133 + 1.37648i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-3.96252 + 1.28750i) q^{5} +(1.63399 - 0.574517i) q^{6} +(0.587785 - 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.789414 + 2.89427i) q^{9} +4.16644i q^{10} +(-3.18918 + 0.910569i) q^{11} +(-0.0414664 - 1.73155i) q^{12} +(-4.46362 - 1.45032i) q^{13} +(-0.587785 - 0.809017i) q^{14} +(-5.93814 - 4.10076i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.988832 - 3.04331i) q^{17} +(2.50868 + 1.64516i) q^{18} +(-1.33360 - 1.83554i) q^{19} +(3.96252 + 1.28750i) q^{20} +(1.73155 - 0.0414664i) q^{21} +(-0.119508 + 3.31447i) q^{22} +8.04432i q^{23} +(-1.65962 - 0.495643i) q^{24} +(9.99884 - 7.26459i) q^{25} +(-2.75867 + 3.79699i) q^{26} +(-4.81386 + 1.95622i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(-0.464346 - 0.337367i) q^{29} +(-5.73504 + 4.38030i) q^{30} +(-2.60220 + 8.00874i) q^{31} +1.00000 q^{32} +(-4.60626 - 3.43255i) q^{33} -3.19993 q^{34} +(-1.28750 + 3.96252i) q^{35} +(2.33986 - 1.87751i) q^{36} +(6.79832 + 4.93927i) q^{37} +(-2.15781 + 0.701116i) q^{38} +(-2.69640 - 7.66887i) q^{39} +(2.44897 - 3.37072i) q^{40} +(0.287729 - 0.209047i) q^{41} +(0.495643 - 1.65962i) q^{42} -8.99506i q^{43} +(3.11532 + 1.13789i) q^{44} +(-0.598313 - 12.4850i) q^{45} +(7.65061 + 2.48583i) q^{46} +(4.03748 + 5.55712i) q^{47} +(-0.984235 + 1.42523i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(-3.81922 - 11.7543i) q^{50} +(3.14948 - 4.56064i) q^{51} +(2.75867 + 3.79699i) q^{52} +(-4.78668 - 1.55529i) q^{53} +(0.372913 + 5.18275i) q^{54} +(11.4648 - 7.71422i) q^{55} +1.00000i q^{56} +(1.12454 - 3.76544i) q^{57} +(-0.464346 + 0.337367i) q^{58} +(-2.33803 + 3.21803i) q^{59} +(2.39369 + 6.80794i) q^{60} +(-7.60568 + 2.47123i) q^{61} +(6.81264 + 4.94967i) q^{62} +(1.87751 + 2.33986i) q^{63} +(0.309017 - 0.951057i) q^{64} +19.5545 q^{65} +(-4.68796 + 3.32010i) q^{66} +4.12657 q^{67} +(-0.988832 + 3.04331i) q^{68} +(-11.0729 + 8.45723i) q^{69} +(3.37072 + 2.44897i) q^{70} +(2.88091 - 0.936066i) q^{71} +(-1.06256 - 2.80552i) q^{72} +(-4.59010 + 6.31774i) q^{73} +(6.79832 - 4.93927i) q^{74} +(20.5117 + 6.12577i) q^{75} +2.26886i q^{76} +(-1.13789 + 3.11532i) q^{77} +(-8.12676 + 0.194616i) q^{78} +(0.592980 + 0.192671i) q^{79} +(-2.44897 - 3.37072i) q^{80} +(-7.75365 - 4.56956i) q^{81} +(-0.109903 - 0.338246i) q^{82} +(-2.61939 - 8.06164i) q^{83} +(-1.42523 - 0.984235i) q^{84} +(7.83654 + 10.7861i) q^{85} +(-8.55481 - 2.77963i) q^{86} +(-0.0238002 - 0.993849i) q^{87} +(2.04488 - 2.61122i) q^{88} -5.10387i q^{89} +(-12.0588 - 3.28905i) q^{90} +(-3.79699 + 2.75867i) q^{91} +(4.72833 - 6.50799i) q^{92} +(-13.7597 + 4.83794i) q^{93} +(6.53278 - 2.12263i) q^{94} +(7.64769 + 5.55637i) q^{95} +(1.05133 + 1.37648i) q^{96} +(-0.238457 + 0.733896i) q^{97} -1.00000 q^{98} +(-0.117854 - 9.94918i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more