LMFDB - Embedded newform 287.2.u.a.8.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(8,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

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

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

chi := DirichletCharacter("287.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.u (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$20$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			8.8
Character	$\chi$	$=$	287.8
Dual form			287.2.u.a.36.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540570 + 0.744030i) q^{2} +(-1.20050 - 1.20050i) q^{3} +(0.356668 + 1.09771i) q^{4} +(-2.96817 + 0.964417i) q^{5} +(1.54217 - 0.244255i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-2.75886 - 0.896407i) q^{8} -0.117584i q^{9} +O(q^{10})$	\(q+(-0.540570 + 0.744030i) q^{2} +(-1.20050 - 1.20050i) q^{3} +(0.356668 + 1.09771i) q^{4} +(-2.96817 + 0.964417i) q^{5} +(1.54217 - 0.244255i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-2.75886 - 0.896407i) q^{8} -0.117584i q^{9} +(0.886947 - 2.72974i) q^{10} +(3.43285 - 1.74912i) q^{11} +(0.889626 - 1.74599i) q^{12} +(-0.627365 - 3.96102i) q^{13} +(-0.650306 + 0.650306i) q^{14} +(4.72108 + 2.40551i) q^{15} +(0.290767 - 0.211254i) q^{16} +(-2.79417 - 5.48387i) q^{17} +(0.0874863 + 0.0635625i) q^{18} +(-0.326682 + 2.06259i) q^{19} +(-2.11731 - 2.91422i) q^{20} +(-0.997923 - 1.37352i) q^{21} +(-0.554293 + 3.49967i) q^{22} +(-5.06768 - 3.68189i) q^{23} +(2.23588 + 4.38815i) q^{24} +(3.83485 - 2.78618i) q^{25} +(3.28626 + 1.67443i) q^{26} +(-3.74267 + 3.74267i) q^{27} +(0.180557 + 1.13999i) q^{28} +(0.938262 - 1.84144i) q^{29} +(-4.34185 + 2.21228i) q^{30} +(2.48335 - 7.64297i) q^{31} -5.47113i q^{32} +(-6.22097 - 2.02132i) q^{33} +(5.59061 + 0.885466i) q^{34} +(-3.08250 + 0.488219i) q^{35} +(0.129074 - 0.0419386i) q^{36} +(2.20265 + 6.77905i) q^{37} +(-1.35804 - 1.35804i) q^{38} +(-4.00207 + 5.50838i) q^{39} +9.05326 q^{40} +(1.51892 + 6.22036i) q^{41} +1.56139 q^{42} +(0.397843 - 0.547583i) q^{43} +(3.14442 + 3.14442i) q^{44} +(0.113400 + 0.349010i) q^{45} +(5.47887 - 1.78019i) q^{46} +(-1.20747 + 0.191245i) q^{47} +(-0.602678 - 0.0954548i) q^{48} +(0.951057 + 0.309017i) q^{49} +4.35937i q^{50} +(-3.22899 + 9.93782i) q^{51} +(4.12431 - 2.10144i) q^{52} +(-0.263453 + 0.517056i) q^{53} +(-0.761486 - 4.80783i) q^{54} +(-8.50239 + 8.50239i) q^{55} +(-2.58466 - 1.31695i) q^{56} +(2.86833 - 2.08396i) q^{57} +(0.862894 + 1.69352i) q^{58} +(-7.32008 - 5.31835i) q^{59} +(-0.956700 + 6.04036i) q^{60} +(-7.49352 - 10.3139i) q^{61} +(4.34417 + 5.97924i) q^{62} +(0.0183943 - 0.116137i) q^{63} +(4.65222 + 3.38003i) q^{64} +(5.68220 + 11.1520i) q^{65} +(4.86679 - 3.53593i) q^{66} +(3.84738 + 1.96034i) q^{67} +(5.02312 - 5.02312i) q^{68} +(1.66365 + 10.5039i) q^{69} +(1.30305 - 2.55739i) q^{70} +(-5.88544 + 2.99878i) q^{71} +(-0.105403 + 0.324398i) q^{72} +2.54999i q^{73} +(-6.23450 - 2.02571i) q^{74} +(-7.94857 - 1.25893i) q^{75} +(-2.38065 + 0.377058i) q^{76} +(3.66421 - 1.19057i) q^{77} +(-1.93500 - 5.95532i) q^{78} +(-4.43962 - 4.43962i) q^{79} +(-0.659308 + 0.907459i) q^{80} +8.63342 q^{81} +(-5.44922 - 2.23242i) q^{82} -14.0511 q^{83} +(1.15181 - 1.58533i) q^{84} +(13.5823 + 13.5823i) q^{85} +(0.192357 + 0.592014i) q^{86} +(-3.33705 + 1.08427i) q^{87} +(-11.0387 + 1.74835i) q^{88} +(12.4436 + 1.97087i) q^{89} +(-0.320975 - 0.104291i) q^{90} -4.01040i q^{91} +(2.23417 - 6.87607i) q^{92} +(-12.1567 + 6.19414i) q^{93} +(0.510431 - 1.00178i) q^{94} +(-1.01955 - 6.43718i) q^{95} +(-6.56811 + 6.56811i) q^{96} +(-2.15975 - 1.10045i) q^{97} +(-0.744030 + 0.540570i) q^{98} +(-0.205670 - 0.403649i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{19}{20}\right)$

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 $

$2$	−0.540570	+	0.744030i	−0.382240	+	0.526109i	−0.956176	−	0.292791i	$-0.905416\pi$
$2$	−0.540570	+	0.744030i	−0.382240	+	0.526109i	0.573936	+	0.818900i	$0.305416\pi$
$3$	−1.20050	−	1.20050i	−0.693111	−	0.693111i	0.269804	−	0.962915i	$-0.413041\pi$
$3$	−1.20050	−	1.20050i	−0.693111	−	0.693111i	−0.962915	+	0.269804i	$0.913041\pi$
$4$	0.356668	+	1.09771i	0.178334	+	0.548856i
$5$	−2.96817	+	0.964417i	−1.32741	+	0.431300i	−0.885032	−	0.465530i	$-0.845864\pi$
$5$	−2.96817	+	0.964417i	−1.32741	+	0.431300i	−0.442374	+	0.896831i	$0.645864\pi$
$6$	1.54217	−	0.244255i	0.629587	−	0.0997167i
$7$	0.987688	+	0.156434i	0.373311	+	0.0591267i
$7$	0.987688	+	0.156434i	0.373311	+	0.0591267i
$8$	−2.75886	−	0.896407i	−0.975403	−	0.316928i
$9$		−	0.117584i		−	0.0391948i
$10$	0.886947	−	2.72974i	0.280477	−	0.863220i
$11$	3.43285	−	1.74912i	1.03504	−	0.527381i	0.147961	−	0.988993i	$-0.452729\pi$
$11$	3.43285	−	1.74912i	1.03504	−	0.527381i	0.887082	+	0.461613i	$0.152729\pi$
$12$	0.889626	−	1.74599i	0.256813	−	0.504024i
$13$	−0.627365	−	3.96102i	−0.174000	−	1.09859i	−0.907855	−	0.419285i	$-0.862281\pi$
$13$	−0.627365	−	3.96102i	−0.174000	−	1.09859i	0.733855	−	0.679306i	$-0.237719\pi$
$14$	−0.650306	+	0.650306i	−0.173802	+	0.173802i
$15$	4.72108	+	2.40551i	1.21898	+	0.621101i
$16$	0.290767	−	0.211254i	0.0726916	−	0.0528136i
$17$	−2.79417	−	5.48387i	−0.677687	−	1.33003i	−0.931839	−	0.362871i	$-0.881797\pi$
$17$	−2.79417	−	5.48387i	−0.677687	−	1.33003i	0.254153	−	0.967164i	$-0.418203\pi$
$18$	0.0874863	+	0.0635625i	0.0206207	+	0.0149818i
$19$	−0.326682	+	2.06259i	−0.0749461	+	0.473191i	0.921459	+	0.388475i	$0.126998\pi$
$19$	−0.326682	+	2.06259i	−0.0749461	+	0.473191i	−0.996405	+	0.0847155i	$0.973002\pi$
$20$	−2.11731	−	2.91422i	−0.473444	−	0.651640i
$21$	−0.997923	−	1.37352i	−0.217765	−	0.299727i
$22$	−0.554293	+	3.49967i	−0.118176	+	0.746131i
$23$	−5.06768	−	3.68189i	−1.05668	−	0.767727i	−0.0832128	−	0.996532i	$-0.526518\pi$
$23$	−5.06768	−	3.68189i	−1.05668	−	0.767727i	−0.973472	+	0.228805i	$0.926518\pi$
$24$	2.23588	+	4.38815i	0.456396	+	0.895728i
$25$	3.83485	−	2.78618i	0.766970	−	0.557236i
$26$	3.28626	+	1.67443i	0.644488	+	0.328383i
$27$	−3.74267	+	3.74267i	−0.720277	+	0.720277i
$28$	0.180557	+	1.13999i	0.0341221	+	0.215438i
$29$	0.938262	−	1.84144i	0.174231	−	0.341948i	−0.787333	−	0.616528i	$-0.788539\pi$
$29$	0.938262	−	1.84144i	0.174231	−	0.341948i	0.961564	+	0.274580i	$0.0885389\pi$
$30$	−4.34185	+	2.21228i	−0.792709	+	0.403906i
$31$	2.48335	−	7.64297i	0.446023	−	1.37272i	−0.435335	−	0.900268i	$-0.643370\pi$
$31$	2.48335	−	7.64297i	0.446023	−	1.37272i	0.881358	−	0.472449i	$-0.156630\pi$
$32$		−	5.47113i		−	0.967168i
$33$	−6.22097	−	2.02132i	−1.08293	−	0.351866i
$34$	5.59061	+	0.885466i	0.958782	+	0.151856i
$35$	−3.08250	+	0.488219i	−0.521037	+	0.0825241i
$36$	0.129074	−	0.0419386i	0.0215123	−	0.00698977i
$37$	2.20265	+	6.77905i	0.362113	+	1.11447i	0.951769	+	0.306815i	$0.0992632\pi$
$37$	2.20265	+	6.77905i	0.362113	+	1.11447i	−0.589656	+	0.807654i	$0.700737\pi$
$38$	−1.35804	−	1.35804i	−0.220302	−	0.220302i
$39$	−4.00207	+	5.50838i	−0.640844	+	0.882046i
$40$	9.05326			1.43145
$41$	1.51892	+	6.22036i	0.237215	+	0.971457i
$41$	1.51892	+	6.22036i	0.237215	+	0.971457i
$42$	1.56139			0.240928
$43$	0.397843	−	0.547583i	0.0606704	−	0.0835057i	−0.777604	−	0.628755i	$-0.783565\pi$
$43$	0.397843	−	0.547583i	0.0606704	−	0.0835057i	0.838274	+	0.545249i	$0.183565\pi$
$44$	3.14442	+	3.14442i	0.474040	+	0.474040i
$45$	0.113400	+	0.349010i	0.0169047	+	0.0520274i
$46$	5.47887	−	1.78019i	0.807815	−	0.262475i
$47$	−1.20747	+	0.191245i	−0.176128	+	0.0278959i	−0.243875	−	0.969807i	$-0.578419\pi$
$47$	−1.20747	+	0.191245i	−0.176128	+	0.0278959i	0.0677474	+	0.997703i	$0.478419\pi$
$48$	−0.602678	−	0.0954548i	−0.0869890	−	0.0137777i
$49$	0.951057	+	0.309017i	0.135865	+	0.0441453i
$50$			4.35937i			0.616508i
$51$	−3.22899	+	9.93782i	−0.452150	+	1.39157i
$52$	4.12431	−	2.10144i	0.571938	−	0.291417i
$53$	−0.263453	+	0.517056i	−0.0361881	+	0.0710230i	−0.908393	−	0.418118i	$-0.862690\pi$
$53$	−0.263453	+	0.517056i	−0.0361881	+	0.0710230i	0.872205	+	0.489141i	$0.162690\pi$
$54$	−0.761486	−	4.80783i	−0.103625	−	0.654263i
$55$	−8.50239	+	8.50239i	−1.14646	+	1.14646i
$56$	−2.58466	−	1.31695i	−0.345390	−	0.175985i
$57$	2.86833	−	2.08396i	0.379920	−	0.276028i
$58$	0.862894	+	1.69352i	0.113303	+	0.222371i
$59$	−7.32008	−	5.31835i	−0.952993	−	0.692390i	−0.00148028	−	0.999999i	$-0.500471\pi$
$59$	−7.32008	−	5.31835i	−0.952993	−	0.692390i	−0.951513	+	0.307609i	$0.900471\pi$
$60$	−0.956700	+	6.04036i	−0.123509	+	0.779808i
$61$	−7.49352	−	10.3139i	−0.959447	−	1.32057i	−0.947201	−	0.320641i	$-0.896102\pi$
$61$	−7.49352	−	10.3139i	−0.959447	−	1.32057i	−0.0122465	−	0.999925i	$-0.503898\pi$
$62$	4.34417	+	5.97924i	0.551711	+	0.759365i
$63$	0.0183943	−	0.116137i	0.00231746	−	0.0146319i
$64$	4.65222	+	3.38003i	0.581527	+	0.422504i
$65$	5.68220	+	11.1520i	0.704791	+	1.38323i
$66$	4.86679	−	3.53593i	0.599060	−	0.435243i
$67$	3.84738	+	1.96034i	0.470032	+	0.239493i	0.672929	−	0.739707i	$-0.265036\pi$
$67$	3.84738	+	1.96034i	0.470032	+	0.239493i	−0.202898	+	0.979200i	$0.565036\pi$
$68$	5.02312	−	5.02312i	0.609143	−	0.609143i
$69$	1.66365	+	10.5039i	0.200280	+	1.26452i
$70$	1.30305	−	2.55739i	0.155745	−	0.305666i
$71$	−5.88544	+	2.99878i	−0.698473	+	0.355890i	−0.766900	−	0.641766i	$-0.778202\pi$
$71$	−5.88544	+	2.99878i	−0.698473	+	0.355890i	0.0684274	+	0.997656i	$0.478202\pi$
$72$	−0.105403	+	0.324398i	−0.0124219	+	0.0382307i
$73$			2.54999i			0.298454i	0.988803	+	0.149227i	$0.0476786\pi$
$73$			2.54999i			0.298454i	−0.988803	+	0.149227i	$0.952321\pi$
$74$	−6.23450	−	2.02571i	−0.724746	−	0.235484i
$75$	−7.94857	−	1.25893i	−0.917822	−	0.145369i
$76$	−2.38065	+	0.377058i	−0.273079	+	0.0432515i
$77$	3.66421	−	1.19057i	0.417575	−	0.135678i
$78$	−1.93500	−	5.95532i	−0.219096	−	0.674307i
$79$	−4.43962	−	4.43962i	−0.499496	−	0.499496i	0.411785	−	0.911281i	$-0.364906\pi$
$79$	−4.43962	−	4.43962i	−0.499496	−	0.499496i	−0.911281	+	0.411785i	$0.864906\pi$
$80$	−0.659308	+	0.907459i	−0.0737128	+	0.101457i
$81$	8.63342			0.959269
$82$	−5.44922	−	2.23242i	−0.601765	−	0.246529i
$83$	−14.0511			−1.54231			−0.771155	−	0.636648i	$-0.780321\pi$
$83$	−14.0511			−1.54231			−0.771155	+	0.636648i	$0.780321\pi$
$84$	1.15181	−	1.58533i	0.125672	−	0.172973i
$85$	13.5823	+	13.5823i	1.47321	+	1.47321i
$86$	0.192357	+	0.592014i	0.0207424	+	0.0638385i
$87$	−3.33705	+	1.08427i	−0.357769	+	0.116246i
$88$	−11.0387	+	1.74835i	−1.17672	+	0.186375i
$89$	12.4436	+	1.97087i	1.31901	+	0.208911i	0.775958	−	0.630785i	$-0.217267\pi$
$89$	12.4436	+	1.97087i	1.31901	+	0.208911i	0.543057	+	0.839696i	$0.317267\pi$
$90$	−0.320975	−	0.104291i	−0.0338338	−	0.0109933i
$91$		−	4.01040i		−	0.420404i
$92$	2.23417	−	6.87607i	0.232929	−	0.716880i
$93$	−12.1567	+	6.19414i	−1.26059	+	0.642302i
$94$	0.510431	−	1.00178i	0.0526469	−	0.103325i
$95$	−1.01955	−	6.43718i	−0.104604	−	0.660441i
$96$	−6.56811	+	6.56811i	−0.670355	+	0.670355i
$97$	−2.15975	−	1.10045i	−0.219289	−	0.111734i	0.340895	−	0.940101i	$-0.389270\pi$
$97$	−2.15975	−	1.10045i	−0.219289	−	0.111734i	−0.560185	+	0.828368i	$0.689270\pi$
$98$	−0.744030	+	0.540570i	−0.0751584	+	0.0546058i
$99$	−0.205670	−	0.403649i	−0.0206706	−	0.0405683i
$100$	4.42620	+	3.21582i	0.442620	+	0.321582i
$101$	−0.937697	+	5.92038i	−0.0933043	+	0.589100i	0.896093	+	0.443866i	$0.146393\pi$
$101$	−0.937697	+	5.92038i	−0.0933043	+	0.589100i	−0.989397	+	0.145234i	$0.953607\pi$
$102$	−5.64854	−	7.77455i	−0.559289	−	0.769796i
$103$	0.706910	+	0.972978i	0.0696539	+	0.0958703i	0.842423	−	0.538817i	$-0.181129\pi$
$103$	0.706910	+	0.972978i	0.0696539	+	0.0958703i	−0.772769	+	0.634688i	$0.781129\pi$
$104$	−1.81988	+	11.4903i	−0.178454	+	1.12671i
$105$	4.28665	+	3.11444i	0.418335	+	0.303938i
$106$	−0.242290	−	0.475522i	−0.0235333	−	0.0461867i
$107$	−2.85559	+	2.07470i	−0.276060	+	0.200569i	−0.717197	−	0.696870i	$-0.754575\pi$
$107$	−2.85559	+	2.07470i	−0.276060	+	0.200569i	0.441137	+	0.897440i	$0.354575\pi$
$108$	−5.44327	−	2.77348i	−0.523779	−	0.266879i
$109$	−14.0928	+	14.0928i	−1.34984	+	1.34984i	−0.464013	+	0.885828i	$0.653591\pi$
$109$	−14.0928	+	14.0928i	−1.34984	+	1.34984i	−0.885828	+	0.464013i	$0.846409\pi$
$110$	−1.72990	−	10.9222i	−0.164940	−	1.04139i
$111$	5.49399	−	10.7826i	0.521466	−	1.02344i
$112$	0.320234	−	0.163167i	0.0302593	−	0.0154179i
$113$	5.62934	−	17.3253i	0.529564	−	1.62983i	−0.225546	−	0.974233i	$-0.572417\pi$
$113$	5.62934	−	17.3253i	0.529564	−	1.62983i	0.755110	−	0.655598i	$-0.227583\pi$
$114$			3.26065i			0.305388i
$115$	18.5926	+	6.04111i	1.73377	+	0.563336i
$116$	2.35602	+	0.373158i	0.218751	+	0.0346468i
$117$	−0.465755	+	0.0737683i	−0.0430590	+	0.00681988i
$118$	7.91403	−	2.57142i	0.728545	−	0.236719i
$119$	−1.90191	−	5.85346i	−0.174347	−	0.536586i
$120$	−10.8685	−	10.8685i	−0.992151	−	0.992151i
$121$	2.25937	−	3.10976i	0.205398	−	0.282706i
$122$	11.7247			1.06150
$123$	5.64410	−	9.29103i	0.508911	−	0.837744i
$124$	9.27551			0.832966
$125$	0.476706	−	0.656129i	0.0426378	−	0.0586860i
$126$	0.0764659	+	0.0764659i	0.00681212	+	0.00681212i
$127$	−5.45512	−	16.7891i	−0.484064	−	1.48980i	−0.833332	−	0.552773i	$-0.813570\pi$
$127$	−5.45512	−	16.7891i	−0.484064	−	1.48980i	0.349268	−	0.937023i	$-0.386430\pi$
$128$	5.37701	−	1.74710i	0.475265	−	0.154423i
$129$	−1.13499	+	0.179764i	−0.0999300	+	0.0158274i
$130$	−11.3690	−	1.80068i	−0.997129	−	0.157930i
$131$	18.2674	+	5.93545i	1.59603	+	0.518583i	0.966122	−	0.258085i	$-0.0830914\pi$
$131$	18.2674	+	5.93545i	1.59603	+	0.518583i	0.629911	+	0.776667i	$0.283091\pi$
$132$		−	7.54978i		−	0.657124i
$133$	−0.645321	+	1.98609i	−0.0559564	+	0.172216i
$134$	−3.53832	+	1.80287i	−0.305665	+	0.155744i
$135$	7.49939	−	14.7184i	0.645444	−	1.26676i
$136$	2.79294	+	17.6339i	0.239493	+	1.51210i
$137$	7.67685	−	7.67685i	0.655878	−	0.655878i	−0.298524	−	0.954402i	$-0.596494\pi$
$137$	7.67685	−	7.67685i	0.655878	−	0.655878i	0.954402	+	0.298524i	$0.0964944\pi$
$138$	−8.71453	−	4.44027i	−0.741830	−	0.377981i
$139$	7.44709	−	5.41063i	0.631654	−	0.458923i	−0.225319	−	0.974285i	$-0.572342\pi$
$139$	7.44709	−	5.41063i	0.631654	−	0.458923i	0.856973	+	0.515362i	$0.172342\pi$
$140$	−1.63535	−	3.20956i	−0.138213	−	0.271257i
$141$	1.67916	+	1.21998i	0.141411	+	0.102741i
$142$	0.950305	−	5.99999i	0.0797478	−	0.503508i
$143$	−9.08197	−	12.5003i	−0.759472	−	1.04532i
$144$	−0.0248402	−	0.0341896i	−0.00207002	−	0.00284913i
$145$	−1.00900	+	6.37059i	−0.0837931	+	0.529049i
$146$	−1.89727	−	1.37845i	−0.157019	−	0.114081i
$147$	−0.770770	−	1.51272i	−0.0635721	−	0.124767i
$148$	−6.65584	+	4.83575i	−0.547106	+	0.397496i
$149$	2.56943	+	1.30919i	0.210496	+	0.107253i	0.556060	−	0.831142i	$-0.312312\pi$
$149$	2.56943	+	1.30919i	0.210496	+	0.107253i	−0.345564	+	0.938395i	$0.612312\pi$
$150$	5.23344	−	5.23344i	0.427308	−	0.427308i
$151$	−2.23043	−	14.0824i	−0.181510	−	1.14601i	−0.895239	−	0.445587i	$-0.852995\pi$
$151$	−2.23043	−	14.0824i	−0.181510	−	1.14601i	0.713729	−	0.700422i	$-0.247005\pi$
$152$	2.75019	−	5.39755i	0.223070	−	0.437799i
$153$	−0.644818	+	0.328551i	−0.0521304	+	0.0265618i
$154$	−1.09494	+	3.36987i	−0.0882325	+	0.271552i
$155$			25.0806i			2.01452i
$156$	−7.47403	−	2.42846i	−0.598401	−	0.194432i
$157$	9.05415	+	1.43404i	0.722600	+	0.114449i	0.506892	−	0.862009i	$-0.330794\pi$
$157$	9.05415	+	1.43404i	0.722600	+	0.114449i	0.215708	+	0.976458i	$0.430794\pi$
$158$	5.70313	−	0.903288i	0.453717	−	0.0718617i
$159$	0.937003	−	0.304451i	0.0743092	−	0.0241445i
$160$	5.27645	+	16.2392i	0.417140	+	1.28382i
$161$	−4.42932	−	4.42932i	−0.349079	−	0.349079i
$162$	−4.66696	+	6.42353i	−0.366671	+	0.504680i
$163$	12.5100			0.979862			0.489931	−	0.871761i	$-0.337022\pi$
$163$	12.5100			0.979862			0.489931	+	0.871761i	$0.337022\pi$
$164$	−6.28642	+	3.88594i	−0.490887	+	0.303441i
$165$	20.4143			1.58925
$166$	7.59560	−	10.4545i	0.589533	−	0.811423i
$167$	−1.83029	−	1.83029i	−0.141632	−	0.141632i	0.632736	−	0.774368i	$-0.281932\pi$
$167$	−1.83029	−	1.83029i	−0.141632	−	0.141632i	−0.774368	+	0.632736i	$0.781932\pi$
$168$	1.52189	+	4.68390i	0.117416	+	0.361370i
$169$	−2.93239	+	0.952793i	−0.225569	+	0.0732917i
$170$	−17.4478	+	2.76347i	−1.33819	+	0.211948i
$171$	0.242529	+	0.0384127i	0.0185466	+	0.00293750i
$172$	0.742987	+	0.241411i	0.0566522	+	0.0184074i
$173$			25.1585i			1.91277i	0.292117	+	0.956383i	$0.405640\pi$
$173$			25.1585i			1.91277i	−0.292117	+	0.956383i	$0.594360\pi$
$174$	0.997175	−	3.06899i	0.0755956	−	0.232659i
$175$	4.22349	−	2.15198i	0.319266	−	0.162674i
$176$	0.628648	−	1.23379i	0.0473861	−	0.0930005i
$177$	2.40308	+	15.1725i	0.180627	+	1.14043i
$178$	−8.19299	+	8.19299i	−0.614091	+	0.614091i
$179$	−5.94310	−	3.02816i	−0.444208	−	0.226335i	0.217556	−	0.976048i	$-0.430192\pi$
$179$	−5.94310	−	3.02816i	−0.444208	−	0.226335i	−0.661763	+	0.749713i	$0.730192\pi$
$180$	−0.342667	+	0.248962i	−0.0255409	+	0.0185565i
$181$	−4.06286	−	7.97381i	−0.301990	−	0.592688i	0.689286	−	0.724489i	$-0.257924\pi$
$181$	−4.06286	−	7.97381i	−0.301990	−	0.592688i	−0.991276	+	0.131801i	$0.957924\pi$
$182$	2.98386	+	2.16790i	0.221178	+	0.160695i
$183$	−3.38593	+	21.3779i	−0.250295	+	1.58030i
$184$	10.6805	+	14.7005i	0.787380	+	1.08374i
$185$	−13.0757	−	17.9971i	−0.961342	−	1.32317i
$186$	1.96291	−	12.3933i	0.143927	−	0.908720i
$187$	−19.1839	−	13.9380i	−1.40287	−	1.01924i
$188$	−0.640599	−	1.25725i	−0.0467205	−	0.0916942i
$189$	−4.28207	+	3.11111i	−0.311475	+	0.226300i
$190$	5.34059	+	2.72117i	0.387447	+	0.197414i
$191$	−12.4696	+	12.4696i	−0.902268	+	0.902268i	−0.995632	−	0.0933640i	$-0.970238\pi$
$191$	−12.4696	+	12.4696i	−0.902268	+	0.902268i	0.0933640	+	0.995632i	$0.470238\pi$
$192$	−1.52726	−	9.64274i	−0.110221	−	0.695905i
$193$	8.34329	−	16.3746i	0.600563	−	1.17867i	−0.367982	−	0.929833i	$-0.619951\pi$
$193$	8.34329	−	16.3746i	0.600563	−	1.17867i	0.968545	−	0.248839i	$-0.0800489\pi$
$194$	1.98626	−	1.01205i	0.142605	−	0.0726610i
$195$	6.56645	−	20.2095i	0.470233	−	1.44723i
$196$			1.15420i			0.0824431i
$197$	−9.44488	−	3.06883i	−0.672920	−	0.218645i	−0.0474269	−	0.998875i	$-0.515102\pi$
$197$	−9.44488	−	3.06883i	−0.672920	−	0.218645i	−0.625493	+	0.780230i	$0.715102\pi$
$198$	0.411506	+	0.0651762i	0.0292445	+	0.00463187i
$199$	12.5681	−	1.99059i	0.890929	−	0.141109i	0.305844	−	0.952082i	$-0.401061\pi$
$199$	12.5681	−	1.99059i	0.890929	−	0.141109i	0.585085	+	0.810972i	$0.301061\pi$
$200$	−13.0773	+	4.24909i	−0.924708	+	0.300456i
$201$	−2.26540	−	6.97218i	−0.159789	−	0.491779i
$202$	−3.89805	−	3.89805i	−0.274266	−	0.274266i
$203$	1.21478	−	1.67200i	0.0852606	−	0.117351i
$204$	−12.0606			−0.844408
$205$	−10.5074	−	16.9982i	−0.733870	−	1.18721i
$206$	−1.10606			−0.0770627
$207$	−0.432932	+	0.595880i	−0.0300909	+	0.0414166i
$208$	−1.01920	−	1.01920i	−0.0706688	−	0.0706688i
$209$	2.48628	+	7.65197i	0.171979	+	0.529298i
$210$	−4.63447	+	1.50583i	−0.319809	+	0.103912i
$211$	−6.56336	+	1.03953i	−0.451840	+	0.0715645i	−0.378207	−	0.925721i	$-0.623459\pi$
$211$	−6.56336	+	1.03953i	−0.451840	+	0.0715645i	−0.0736329	+	0.997285i	$0.523459\pi$
$212$	−0.661544	−	0.104778i	−0.0454350	−	0.00719620i
$213$	10.6655	+	3.46544i	0.730790	+	0.237448i
$214$		−	3.24616i		−	0.221903i
$215$	−0.652766	+	2.00901i	−0.0445183	+	0.137013i
$216$	13.6804	−	6.97053i	0.930836	−	0.474285i
$217$	3.64840	−	7.16039i	0.247669	−	0.486079i
$218$	−2.86732	−	18.1036i	−0.194200	−	1.22613i
$219$	3.06128	−	3.06128i	0.206862	−	0.206862i
$220$	−12.3657	−	6.30065i	−0.833697	−	0.424790i
$221$	−19.9688	+	14.5082i	−1.34325	+	0.975926i
$222$	5.05267	+	9.91642i	0.339113	+	0.665546i
$223$	−4.23005	−	3.07331i	−0.283265	−	0.205804i	0.437075	−	0.899425i	$-0.356014\pi$
$223$	−4.23005	−	3.07331i	−0.283265	−	0.205804i	−0.720340	+	0.693621i	$0.756014\pi$
$224$	0.855873	−	5.40377i	0.0571854	−	0.361055i
$225$	−0.327611	−	0.450918i	−0.0218408	−	0.0300612i
$226$	9.84752	+	13.5540i	0.655048	+	0.901596i
$227$	−1.73265	+	10.9395i	−0.115000	+	0.726080i	0.861048	+	0.508524i	$0.169809\pi$
$227$	−1.73265	+	10.9395i	−0.115000	+	0.726080i	−0.976048	+	0.217556i	$0.930191\pi$
$228$	3.31064	+	2.40532i	0.219252	+	0.159296i
$229$	0.991793	+	1.94650i	0.0655395	+	0.128629i	0.921452	−	0.388492i	$-0.127004\pi$
$229$	0.991793	+	1.94650i	0.0655395	+	0.128629i	−0.855913	+	0.517121i	$0.827004\pi$
$230$	−14.5454	+	10.5678i	−0.959094	+	0.696822i
$231$	−5.82818	−	2.96961i	−0.383466	−	0.195386i
$232$	−4.23921	+	4.23921i	−0.278318	+	0.278318i
$233$	1.65150	+	10.4272i	0.108193	+	0.683105i	0.980849	+	0.194770i	$0.0623959\pi$
$233$	1.65150	+	10.4272i	0.108193	+	0.683105i	−0.872656	+	0.488336i	$0.837604\pi$
$234$	0.196887	−	0.386412i	0.0128709	−	0.0252606i
$235$	3.39954	−	1.73215i	0.221762	−	0.112993i
$236$	3.22718	−	9.93223i	0.210071	−	0.646533i
$237$			10.6596i			0.692412i
$238$	5.38327	+	1.74913i	0.348945	+	0.113379i
$239$	10.6434	+	1.68575i	0.688466	+	0.109042i	0.490859	−	0.871239i	$-0.336683\pi$
$239$	10.6434	+	1.68575i	0.688466	+	0.109042i	0.197607	+	0.980281i	$0.436683\pi$
$240$	1.88091	−	0.297907i	0.121412	−	0.0192298i
$241$	16.7874	−	5.45457i	1.08137	−	0.351360i	0.286467	−	0.958090i	$-0.407519\pi$
$241$	16.7874	−	5.45457i	1.08137	−	0.351360i	0.794908	+	0.606730i	$0.207519\pi$
$242$	1.09241	+	3.36208i	0.0702226	+	0.216123i
$243$	0.863561	+	0.863561i	0.0553975	+	0.0553975i
$244$	8.64905	−	11.9044i	0.553699	−	0.762101i
$245$	−3.12092			−0.199388
$246$	3.86178	+	9.22183i	0.246218	+	0.587962i
$247$	8.37492			0.532884
$248$	−13.7024	+	18.8597i	−0.870104	+	1.19760i
$249$	16.8684	+	16.8684i	1.06899	+	1.06899i
$250$	0.230487	+	0.709367i	0.0145773	+	0.0448643i
$251$	−12.4144	+	4.03368i	−0.783590	+	0.254604i	−0.673372	−	0.739304i	$-0.735155\pi$
$251$	−12.4144	+	4.03368i	−0.783590	+	0.254604i	−0.110218	+	0.993907i	$0.535155\pi$
$252$	0.134045	−	0.0212307i	0.00844407	−	0.00133741i
$253$	−23.8367	−	3.77536i	−1.49860	−	0.237355i
$254$	15.4405	+	5.01692i	0.968823	+	0.314790i
$255$		−	32.6112i		−	2.04220i
$256$	−5.16073	+	15.8831i	−0.322546	+	0.992694i
$257$	15.2902	−	7.79075i	0.953777	−	0.485974i	0.0933982	−	0.995629i	$-0.470227\pi$
$257$	15.2902	−	7.79075i	0.953777	−	0.485974i	0.860379	+	0.509655i	$0.170227\pi$
$258$	0.479789	−	0.941639i	0.0298704	−	0.0586239i
$259$	1.11505	+	7.04016i	0.0692859	+	0.437454i
$260$	−10.2150	+	10.2150i	−0.633506	+	0.633506i
$261$	−0.216525	−	0.110325i	−0.0134026	−	0.00682895i
$262$	−14.2910	+	10.3830i	−0.882899	+	0.641464i
$263$	−8.87625	−	17.4206i	−0.547333	−	1.07420i	−0.984592	−	0.174866i	$-0.944051\pi$
$263$	−8.87625	−	17.4206i	−0.547333	−	1.07420i	0.437259	−	0.899335i	$-0.355949\pi$
$264$	15.3508	+	11.1530i	0.944779	+	0.686422i
$265$	0.283316	−	1.78879i	0.0174040	−	0.109884i
$266$	−1.12887	−	1.55376i	−0.0692156	−	0.0952671i
$267$	−12.5725	−	17.3046i	−0.769425	−	1.05902i
$268$	−0.779648	+	4.92250i	−0.0476246	+	0.300690i
$269$	16.4492	+	11.9511i	1.00293	+	0.728670i	0.962714	−	0.270521i	$-0.0871960\pi$
$269$	16.4492	+	11.9511i	1.00293	+	0.728670i	0.0402140	+	0.999191i	$0.487196\pi$
$270$	6.89698	+	13.5361i	0.419737	+	0.823779i
$271$	−15.1456	+	11.0039i	−0.920028	+	0.668439i	−0.943531	−	0.331285i	$-0.892518\pi$
$271$	−15.1456	+	11.0039i	−0.920028	+	0.668439i	0.0235032	+	0.999724i	$0.492518\pi$
$272$	−1.97094	−	1.00425i	−0.119506	−	0.0608914i
$273$	−4.81450	+	4.81450i	−0.291387	+	0.291387i
$274$	1.56194	+	9.86168i	0.0943601	+	0.595766i
$275$	8.29108	−	16.2722i	0.499971	−	0.981248i
$276$	−10.9369	+	5.57262i	−0.658323	+	0.335432i
$277$	−7.98325	+	24.5699i	−0.479667	+	1.47626i	0.359891	+	0.932994i	$0.382814\pi$
$277$	−7.98325	+	24.5699i	−0.479667	+	1.47626i	−0.839559	+	0.543269i	$0.817186\pi$
$278$			8.46568i			0.507738i
$279$	−0.898693	−	0.292003i	−0.0538034	−	0.0174818i
$280$	8.94180	+	1.41624i	0.534375	+	0.0846367i
$281$	21.8719	−	3.46417i	1.30477	−	0.206655i	0.534931	−	0.844896i	$-0.320338\pi$
$281$	21.8719	−	3.46417i	1.30477	−	0.206655i	0.769837	+	0.638241i	$0.220338\pi$
$282$	−1.81541	+	0.589863i	−0.108106	+	0.0351258i
$283$	6.96300	+	21.4299i	0.413907	+	1.27388i	0.913225	+	0.407456i	$0.133584\pi$
$283$	6.96300	+	21.4299i	0.413907	+	1.27388i	−0.499318	+	0.866419i	$0.666416\pi$
$284$	−5.39095	−	5.39095i	−0.319894	−	0.319894i
$285$	−6.50388	+	8.95183i	−0.385257	+	0.530260i
$286$	14.2100			0.840255
$287$	0.527137	+	6.38139i	0.0311159	+	0.376681i
$288$	−0.643319			−0.0379080
$289$	−12.2731	+	16.8925i	−0.721948	+	0.993676i
$290$	−4.19448	−	4.19448i	−0.246308	−	0.246308i
$291$	1.27170	+	3.91388i	0.0745482	+	0.229436i
$292$	−2.79916	+	0.909503i	−0.163809	+	0.0532246i
$293$	24.2057	−	3.83381i	1.41411	−	0.223974i	0.597829	−	0.801623i	$-0.296030\pi$
$293$	24.2057	−	3.83381i	1.41411	−	0.223974i	0.816285	+	0.577650i	$0.196030\pi$
$294$	1.54217	+	0.244255i	0.0899410	+	0.0142452i
$295$	26.8563	+	8.72616i	1.56364	+	0.508056i
$296$		−	20.6769i		−	1.20182i
$297$	−6.30162	+	19.3944i	−0.365657	+	1.12538i
$298$	−2.36303	+	1.20403i	−0.136887	+	0.0697474i
$299$	−11.4048	+	22.3831i	−0.659554	+	1.29445i
$300$	−1.45306	−	9.17426i	−0.0838925	−	0.529676i
$301$	0.478605	−	0.478605i	0.0275864	−	0.0275864i
$302$	11.6834	+	5.95300i	0.672306	+	0.342557i
$303$	8.23315	−	5.98173i	0.472982	−	0.343641i
$304$	0.340743	+	0.668746i	0.0195429	+	0.0383552i
$305$	32.1890	+	23.3867i	1.84314	+	1.33912i
$306$	0.104117	−	0.657369i	0.00595197	−	0.0375793i
$307$	3.23641	+	4.45453i	0.184712	+	0.254234i	0.891324	−	0.453367i	$-0.149777\pi$
$307$	3.23641	+	4.45453i	0.184712	+	0.254234i	−0.706612	+	0.707601i	$0.749777\pi$
$308$	2.61381	+	3.59761i	0.148936	+	0.204993i
$309$	0.319415	−	2.01671i	0.0181709	−	0.114727i
$310$	−18.6607	−	13.5578i	−1.05986	−	0.770032i
$311$	−6.96236	−	13.6644i	−0.394799	−	0.774837i	0.604971	−	0.796247i	$-0.293185\pi$
$311$	−6.96236	−	13.6644i	−0.394799	−	0.774837i	−0.999771	+	0.0214098i	$0.993185\pi$
$312$	15.9789	−	11.6093i	0.904626	−	0.657249i
$313$	−5.45583	−	2.77988i	−0.308382	−	0.157128i	0.292950	−	0.956128i	$-0.405363\pi$
$313$	−5.45583	−	2.77988i	−0.308382	−	0.157128i	−0.601332	+	0.798999i	$0.705363\pi$
$314$	−5.96136	+	5.96136i	−0.336419	+	0.336419i
$315$	0.0574070	+	0.362453i	0.00323452	+	0.0204219i
$316$	3.28995	−	6.45690i	0.185074	−	0.363229i
$317$	13.1030	−	6.67629i	0.735935	−	0.374978i	−0.0454997	−	0.998964i	$-0.514488\pi$
$317$	13.1030	−	6.67629i	0.735935	−	0.374978i	0.781435	+	0.623987i	$0.214488\pi$
$318$	−0.279995	+	0.861735i	−0.0157013	+	0.0483237i
$319$		−	7.96253i		−	0.445816i
$320$	−17.0683	−	5.54584i	−0.954149	−	0.310022i
$321$	5.91883	+	0.937450i	0.330357	+	0.0523234i
$322$	5.68990	−	0.901192i	0.317086	−	0.0502215i
$323$	12.2238	−	3.97175i	0.680150	−	0.220994i
$324$	3.07927	+	9.47702i	0.171071	+	0.526501i
$325$	−13.4420	−	13.4420i	−0.745627	−	0.745627i
$326$	−6.76255	+	9.30785i	−0.374543	+	0.515514i
$327$	33.8368			1.87118
$328$	1.38550	−	18.5226i	0.0765015	−	1.02274i
$329$	−1.22252			−0.0673999
$330$	−11.0353	+	15.1889i	−0.607476	+	0.836119i
$331$	−18.3909	−	18.3909i	−1.01086	−	1.01086i	−0.999940	−	0.0109174i	$-0.996525\pi$
$331$	−18.3909	−	18.3909i	−1.01086	−	1.01086i	−0.0109174	−	0.999940i	$-0.503475\pi$
$332$	−5.01159	−	15.4241i	−0.275047	−	0.846507i
$333$	0.797111	−	0.258997i	0.0436814	−	0.0141929i
$334$	2.35119	−	0.372391i	0.128651	−	0.0203763i
$335$	−13.3102	−	2.10814i	−0.727216	−	0.115180i
$336$	−0.580325	−	0.188559i	−0.0316593	−	0.0102867i
$337$		−	18.8747i		−	1.02817i	−0.857739	−	0.514086i	$-0.828131\pi$
$337$		−	18.8747i		−	1.02817i	0.857739	−	0.514086i	$-0.171869\pi$
$338$	0.876257	−	2.69684i	0.0476621	−	0.146689i
$339$	−27.5572	+	14.0411i	−1.49670	+	0.762607i
$340$	−10.0651	+	19.7539i	−0.545857	+	1.07130i
$341$	−4.84353	−	30.5808i	−0.262292	−	1.65604i
$342$	−0.159684	+	0.159684i	−0.00863471	+	0.00863471i
$343$	0.891007	+	0.453990i	0.0481098	+	0.0245132i
$344$	−1.58845	+	1.15407i	−0.0856433	+	0.0622235i
$345$	−15.0681	−	29.5729i	−0.811241	−	1.59215i
$346$	−18.7187	−	13.5999i	−1.00632	−	0.731136i
$347$	−1.57264	+	9.92924i	−0.0844236	+	0.533029i	0.908839	+	0.417146i	$0.136970\pi$
$347$	−1.57264	+	9.92924i	−0.0844236	+	0.533029i	−0.993263	+	0.115883i	$0.963030\pi$
$348$	−2.38044	−	3.27639i	−0.127605	−	0.175633i
$349$	1.97844	+	2.72310i	0.105904	+	0.145764i	0.858679	−	0.512513i	$-0.171285\pi$
$349$	1.97844	+	2.72310i	0.105904	+	0.145764i	−0.752776	+	0.658277i	$0.771285\pi$
$350$	−0.681955	+	4.30570i	−0.0364521	+	0.230149i
$351$	17.1728	+	12.4768i	0.916618	+	0.665962i
$352$	−9.56968	−	18.7815i	−0.510066	−	1.00106i
$353$	9.85086	−	7.15707i	0.524308	−	0.380932i	−0.293916	−	0.955831i	$-0.594959\pi$
$353$	9.85086	−	7.15707i	0.524308	−	0.380932i	0.818224	+	0.574899i	$0.194959\pi$
$354$	−12.5878	−	6.41381i	−0.669035	−	0.340890i
$355$	14.5769	−	14.5769i	0.773662	−	0.773662i
$356$	2.27478	+	14.3624i	0.120563	+	0.761206i
$357$	−4.74386	+	9.31034i	−0.251072	+	0.492756i
$358$	5.46570	−	2.78491i	0.288871	−	0.147187i
$359$	3.12032	−	9.60335i	0.164684	−	0.506845i	−0.834329	−	0.551267i	$-0.814145\pi$
$359$	3.12032	−	9.60335i	0.164684	−	0.506845i	0.999013	+	0.0444218i	$0.0141445\pi$
$360$		−	1.06452i		−	0.0561053i
$361$	13.9225	+	4.52370i	0.732764	+	0.238089i
$362$	8.12901	+	1.28751i	0.427251	+	0.0676699i
$363$	−6.44566	+	1.02089i	−0.338310	+	0.0535830i
$364$	4.40227	−	1.43038i	0.230741	−	0.0749724i
$365$	−2.45926	−	7.56882i	−0.128723	−	0.396170i
$366$	−14.0755	−	14.0755i	−0.735738	−	0.735738i
$367$	−8.75991	+	12.0570i	−0.457264	+	0.629370i	−0.973939	−	0.226812i	$-0.927170\pi$
$367$	−8.75991	+	12.0570i	−0.457264	+	0.629370i	0.516675	+	0.856182i	$0.327170\pi$
$368$	−2.25133			−0.117359
$369$	0.731417	−	0.178601i	0.0380761	−	0.00929759i
$370$	20.4587			1.06360
$371$	−0.341095	+	0.469477i	−0.0177088	+	0.0243740i
$372$	−11.1353	−	11.1353i	−0.577338	−	0.577338i
$373$	−8.49670	−	26.1501i	−0.439942	−	1.35400i	−0.887936	−	0.459967i	$-0.847861\pi$
$373$	−8.49670	−	26.1501i	−0.439942	−	1.35400i	0.447994	−	0.894037i	$-0.352139\pi$
$374$	20.7405	−	6.73900i	1.07247	−	0.348465i
$375$	−1.35997	+	0.215398i	−0.0702286	+	0.0111231i
$376$	3.50268	+	0.554769i	0.180637	+	0.0286100i
$377$	−7.88264	−	2.56122i	−0.405976	−	0.131910i
$378$		−	4.86776i		−	0.250371i
$379$	7.46427	−	22.9727i	0.383414	−	1.18003i	−0.554210	−	0.832377i	$-0.686980\pi$
$379$	7.46427	−	22.9727i	0.383414	−	1.18003i	0.937624	−	0.347650i	$-0.113020\pi$
$380$	6.70253	−	3.41511i	0.343833	−	0.175192i
$381$	−13.6065	+	26.7043i	−0.697083	+	1.36810i
$382$	−2.53707	−	16.0184i	−0.129808	−	0.819574i
$383$	6.12627	−	6.12627i	0.313038	−	0.313038i	−0.533047	−	0.846085i	$-0.678953\pi$
$383$	6.12627	−	6.12627i	0.313038	−	0.313038i	0.846085	+	0.533047i	$0.178953\pi$
$384$	−8.55251	−	4.35772i	−0.436443	−	0.222379i
$385$	−9.72778	+	7.06765i	−0.495774	+	0.360201i
$386$	7.67309	+	15.0593i	0.390550	+	0.766498i
$387$	−0.0643872	−	0.0467801i	−0.00327299	−	0.00237796i
$388$	0.437661	−	2.76328i	0.0222189	−	0.140284i
$389$	16.9094	+	23.2738i	0.857342	+	1.18003i	0.982197	+	0.187855i	$0.0601536\pi$
$389$	16.9094	+	23.2738i	0.857342	+	1.18003i	−0.124854	+	0.992175i	$0.539846\pi$
$390$	11.4868	+	15.8103i	0.581658	+	0.800584i
$391$	−6.03102	+	38.0784i	−0.305002	+	1.92571i
$392$	−2.34682	−	1.70507i	−0.118532	−	0.0861189i
$393$	−14.8046	−	29.0556i	−0.746793	−	1.46566i
$394$	7.38892	−	5.36836i	0.372248	−	0.270454i
$395$	17.4592	+	8.89590i	0.878467	+	0.447601i
$396$	0.369735	−	0.369735i	0.0185799	−	0.0185799i
$397$	0.110484	+	0.697570i	0.00554505	+	0.0350101i	0.990306	−	0.138905i	$-0.0443582\pi$
$397$	0.110484	+	0.697570i	0.00554505	+	0.0350101i	−0.984761	+	0.173915i	$0.944358\pi$
$398$	−5.31287	+	10.4271i	−0.266310	+	0.522663i
$399$	3.15902	−	1.60960i	0.158149	−	0.0805809i
$400$	0.526453	−	1.62026i	0.0263227	−	0.0810128i
$401$			10.1789i			0.508311i	0.967163	+	0.254155i	$0.0817975\pi$
$401$			10.1789i			0.508311i	−0.967163	+	0.254155i	$0.918203\pi$
$402$	6.41211	+	2.08342i	0.319807	+	0.103912i
$403$	−31.8319	−	5.04168i	−1.58566	−	0.251144i
$404$	−6.83333	+	1.08229i	−0.339971	+	0.0538461i
$405$	−25.6255	+	8.32622i	−1.27334	+	0.413733i
$406$	0.587344	+	1.80766i	0.0291494	+	0.0897127i
$407$	19.4187	+	19.4187i	0.962552	+	0.962552i
$408$	17.8167	−	24.5225i	0.882056	−	1.21405i
$409$	5.76749			0.285184			0.142592	−	0.989782i	$-0.454456\pi$
$409$	5.76749			0.285184			0.142592	+	0.989782i	$0.454456\pi$
$410$	18.3272	+	1.37088i	0.905115	+	0.0677030i
$411$	−18.4322			−0.909192
$412$	−0.815917	+	1.12301i	−0.0401974	+	0.0553269i
$413$	−6.39798	−	6.39798i	−0.314824	−	0.314824i
$414$	−0.209323	−	0.644230i	−0.0102877	−	0.0316622i
$415$	41.7061	−	13.5511i	2.04727	−	0.665199i
$416$	−21.6713	+	3.43239i	−1.06252	+	0.168287i
$417$	−15.4357	−	2.44478i	−0.755891	−	0.119721i
$418$	−7.03730	−	2.28656i	−0.344206	−	0.111839i
$419$		−	10.3089i		−	0.503624i	−0.967776	−	0.251812i	$-0.918974\pi$
$419$		−	10.3089i		−	0.503624i	0.967776	−	0.251812i	$-0.0810264\pi$
$420$	−1.88984	+	5.81634i	−0.0922149	+	0.283808i
$421$	−11.0037	+	5.60665i	−0.536286	+	0.273251i	−0.701087	−	0.713075i	$-0.747302\pi$
$421$	−11.0037	+	5.60665i	−0.536286	+	0.273251i	0.164801	+	0.986327i	$0.447302\pi$
$422$	2.77451	−	5.44528i	0.135061	−	0.265072i
$423$	0.0224874	+	0.141980i	0.00109338	+	0.00690330i
$424$	1.19032	−	1.19032i	0.0578071	−	0.0578071i
$425$	−25.9943	−	13.2448i	−1.26091	−	0.642465i
$426$	−8.34385	+	6.06216i	−0.404261	+	0.293713i
$427$	−5.78781	−	11.3592i	−0.280092	−	0.549711i
$428$	−3.29593	−	2.39463i	−0.159315	−	0.115749i
$429$	−4.10367	+	25.9095i	−0.198127	+	1.25092i
$430$	−1.14190	−	1.57169i	−0.0550671	−	0.0757934i
$431$	−23.2895	−	32.0552i	−1.12182	−	1.54405i	−0.802752	−	0.596313i	$-0.796632\pi$
$431$	−23.2895	−	32.0552i	−1.12182	−	1.54405i	−0.319063	−	0.947734i	$-0.603368\pi$
$432$	−0.297588	+	1.87890i	−0.0143177	+	0.0903985i
$433$	−12.6994	−	9.22665i	−0.610294	−	0.443404i	0.239224	−	0.970964i	$-0.423107\pi$
$433$	−12.6994	−	9.22665i	−0.610294	−	0.443404i	−0.849518	+	0.527560i	$0.823107\pi$
$434$	3.35533	+	6.58521i	0.161061	+	0.316100i
$435$	8.85923	−	6.43661i	0.424768	−	0.308612i
$436$	−20.4962	−	10.4434i	−0.981592	−	0.500146i
$437$	9.24975	−	9.24975i	0.442476	−	0.442476i
$438$	0.622849	+	3.93252i	0.0297609	+	0.187903i
$439$	−13.7222	+	26.9313i	−0.654925	+	1.28536i	0.289670	+	0.957126i	$0.406454\pi$
$439$	−13.7222	+	26.9313i	−0.654925	+	1.28536i	−0.944596	+	0.328237i	$0.893546\pi$
$440$	31.0785	−	15.8353i	1.48161	−	0.754917i
$441$	0.0363356	−	0.111829i	0.00173027	−	0.00532521i
$442$		−	22.7001i		−	1.07973i
$443$	25.8937	+	8.41338i	1.23025	+	0.399732i	0.850804	−	0.525483i	$-0.176115\pi$
$443$	25.8937	+	8.41338i	1.23025	+	0.399732i	0.379444	+	0.925215i	$0.376115\pi$
$444$	13.7957	+	2.18502i	0.654714	+	0.103697i
$445$	−38.8353	+	6.15091i	−1.84097	+	0.291581i
$446$	4.57328	−	1.48595i	0.216551	−	0.0703617i
$447$	−1.51292	−	4.65630i	−0.0715588	−	0.220235i
$448$	4.06619	+	4.06619i	0.192109	+	0.192109i
$449$	−10.8406	+	14.9209i	−0.511601	+	0.704159i	−0.984188	−	0.177125i	$-0.943320\pi$
$449$	−10.8406	+	14.9209i	−0.511601	+	0.704159i	0.472587	+	0.881284i	$0.343320\pi$
$450$	0.512594			0.0241639
$451$	16.0944	+	18.6968i	0.757855	+	0.880397i
$452$	21.0261			0.988982
$453$	−14.2283	+	19.5836i	−0.668505	+	0.920118i
$454$	−7.20270	−	7.20270i	−0.338040	−	0.338040i
$455$	3.86770	+	11.9035i	0.181320	+	0.558047i
$456$	−9.78139	+	3.17817i	−0.458055	+	0.148831i
$457$	13.5749	−	2.15005i	0.635005	−	0.100575i	0.169371	−	0.985552i	$-0.445826\pi$
$457$	13.5749	−	2.15005i	0.635005	−	0.100575i	0.465634	+	0.884977i	$0.345826\pi$
$458$	−1.98439	−	0.314297i	−0.0927245	−	0.0146861i
$459$	30.9820	+	10.0667i	1.44612	+	0.469872i
$460$			22.5640i			1.05205i
$461$	11.5327	−	35.4941i	0.537133	−	1.65312i	−0.201863	−	0.979414i	$-0.564700\pi$
$461$	11.5327	−	35.4941i	0.537133	−	1.65312i	0.738996	−	0.673710i	$-0.235300\pi$
$462$	5.36001	−	2.73106i	0.249370	−	0.127061i
$463$	3.88269	−	7.62021i	0.180444	−	0.354141i	−0.783013	−	0.622006i	$-0.786318\pi$
$463$	3.88269	−	7.62021i	0.180444	−	0.354141i	0.963457	+	0.267865i	$0.0863180\pi$
$464$	−0.116198	−	0.733642i	−0.00539433	−	0.0340585i
$465$	30.1094	−	30.1094i	1.39629	−	1.39629i
$466$	−8.65087	−	4.40784i	−0.400744	−	0.204189i
$467$	−26.1820	+	19.0223i	−1.21156	+	0.880248i	−0.995371	−	0.0961044i	$-0.969362\pi$
$467$	−26.1820	+	19.0223i	−1.21156	+	0.880248i	−0.216186	+	0.976352i	$0.569362\pi$
$468$	−0.247096	−	0.484954i	−0.0114220	−	0.0224170i
$469$	3.49334	+	2.53806i	0.161308	+	0.117197i
$470$	−0.548915	+	3.46571i	−0.0253196	+	0.159861i
$471$	−9.14797	−	12.5911i	−0.421516	−	0.580167i
$472$	15.4276	+	21.2343i	0.710115	+	0.977389i
$473$	0.407942	−	2.57565i	0.0187572	−	0.118428i
$474$	−7.93103	−	5.76223i	−0.364284	−	0.264668i
$475$	4.49397	+	8.81992i	0.206198	+	0.404686i
$476$	5.74707	−	4.17549i	0.263417	−	0.191383i
$477$	0.0607977	+	0.0309780i	0.00278373	+	0.00141838i
$478$	−7.00776	+	7.00776i	−0.320528	+	0.320528i
$479$	0.380429	+	2.40193i	0.0173822	+	0.109747i	0.994854	−	0.101319i	$-0.0323064\pi$
$479$	0.380429	+	2.40193i	0.0173822	+	0.109747i	−0.977472	+	0.211066i	$0.932306\pi$
$480$	13.1609	−	25.8297i	0.600709	−	1.17896i
$481$	25.4701	−	12.9777i	1.16134	−	0.591731i
$482$	−5.01642	+	15.4389i	−0.228492	+	0.703225i
$483$			10.6348i			0.483901i
$484$	4.21947	+	1.37099i	0.191794	+	0.0623177i
$485$	7.47180	+	1.18342i	0.339277	+	0.0537362i
$486$	−1.10933	+	0.175701i	−0.0503202	+	0.00796994i
$487$	−8.37826	+	2.72226i	−0.379655	+	0.123357i	−0.492627	−	0.870241i	$-0.663963\pi$
$487$	−8.37826	+	2.72226i	−0.379655	+	0.123357i	0.112971	+	0.993598i	$0.463963\pi$
$488$	11.4281	+	35.1719i	0.517324	+	1.59216i
$489$	−15.0183	−	15.0183i	−0.679153	−	0.679153i
$490$	1.68707	−	2.32206i	0.0762142	−	0.104900i
$491$	26.7066			1.20525			0.602626	−	0.798024i	$-0.294121\pi$
$491$	26.7066			1.20525			0.602626	+	0.798024i	$0.294121\pi$
$492$	12.2120	+	2.88178i	0.550557	+	0.129921i
$493$	−12.7199			−0.572876
$494$	−4.52723	+	6.23120i	−0.203690	+	0.280355i
$495$	0.999749	+	0.999749i	0.0449354	+	0.0449354i
$496$	−0.892534	−	2.74694i	−0.0400760	−	0.123341i
$497$	−6.28209	+	2.04117i	−0.281790	+	0.0915592i
$498$	−21.6691	+	3.43206i	−0.971018	+	0.153794i
$499$	−6.92023	−	1.09606i	−0.309792	−	0.0490663i	−0.000397369	−	1.00000i	$-0.500126\pi$
$499$	−6.92023	−	1.09606i	−0.309792	−	0.0490663i	−0.309395	+	0.950934i	$0.600126\pi$
$500$	0.890267	+	0.289265i	0.0398139	+	0.0129363i
$501$			4.39453i			0.196333i
$502$	3.70967	−	11.4172i	0.165571	−	0.509574i
$503$	−8.00937	+	4.08098i	−0.357120	+	0.181962i	−0.623341	−	0.781950i	$-0.714225\pi$
$503$	−8.00937	+	4.08098i	−0.357120	+	0.181962i	0.266221	+	0.963912i	$0.414225\pi$
$504$	−0.154853	+	0.303916i	−0.00689769	+	0.0135375i
$505$	−2.92647	−	18.4770i	−0.130226	−	0.822217i
$506$	15.6944	−	15.6944i	0.697699	−	0.697699i
$507$	4.66418	+	2.37652i	0.207143	+	0.105545i
$508$	16.4840	−	11.9763i	0.731359	−	0.531363i
$509$	−18.5855	−	36.4761i	−0.823788	−	1.61677i	−0.786597	−	0.617467i	$-0.788159\pi$
$509$	−18.5855	−	36.4761i	−0.823788	−	1.61677i	−0.0371910	−	0.999308i	$-0.511841\pi$
$510$	24.2638	+	17.6286i	1.07442	+	0.780610i
$511$	−0.398907	+	2.51860i	−0.0176466	+	0.111416i
$512$	−2.38143	−	3.27775i	−0.105245	−	0.144858i
$513$	−6.49693	−	8.94226i	−0.286847	−	0.394811i
$514$	−2.46887	+	15.5878i	−0.108897	+	0.687549i
$515$	−3.03658	−	2.20621i	−0.133808	−	0.0972171i
$516$	−0.602143	−	1.18177i	−0.0265079	−	0.0520247i
$517$	−3.81056	+	2.76853i	−0.167588	+	0.121760i
$518$	−5.84086	−	2.97606i	−0.256632	−	0.130761i
$519$	30.2029	−	30.2029i	1.32576	−	1.32576i
$520$	−5.67970	−	35.8602i	−0.249071	−	1.57257i
$521$	−13.1007	+	25.7116i	−0.573952	+	1.12644i	0.403439	+	0.915007i	$0.367815\pi$
$521$	−13.1007	+	25.7116i	−0.573952	+	1.12644i	−0.977391	+	0.211438i	$0.932185\pi$
$522$	0.199132	−	0.101463i	0.00871577	−	0.00444091i
$523$	11.2628	−	34.6633i	0.492487	−	1.51572i	−0.328349	−	0.944556i	$-0.606492\pi$
$523$	11.2628	−	34.6633i	0.492487	−	1.51572i	0.820836	−	0.571163i	$-0.193508\pi$
$524$			22.1694i			0.968474i
$525$	−7.65377	−	2.48686i	−0.334038	−	0.108535i
$526$	17.7597	+	2.81286i	0.774359	+	0.122646i
$527$	−48.8520	+	7.73739i	−2.12803	+	0.337046i
$528$	−2.23586	+	0.726476i	−0.0973034	+	0.0316158i
$529$	5.01773	+	15.4430i	0.218162	+	0.671434i
$530$	1.17776	+	1.17776i	0.0511586	+	0.0511586i
$531$	−0.625355	+	0.860727i	−0.0271381	+	0.0373524i
$532$	−2.41033			−0.104501
$533$	23.6861	−	9.91890i	1.02596	−	0.429635i
$534$	19.6714			0.851266
$535$	6.47498	−	8.91205i	0.279938	−	0.385302i
$536$	−8.85710	−	8.85710i	−0.382568	−	0.382568i
$537$	3.49939	+	10.7700i	0.151010	+	0.464761i
$538$	−17.7839	+	5.77835i	−0.766719	+	0.249122i
$539$	3.80534	−	0.602707i	0.163908	−	0.0259604i
$540$	18.8313	+	2.98259i	0.810372	+	0.128350i
$541$	−28.0599	−	9.11721i	−1.20639	−	0.391979i	−0.364281	−	0.931289i	$-0.618685\pi$
$541$	−28.0599	−	9.11721i	−1.20639	−	0.391979i	−0.842108	+	0.539310i	$0.818685\pi$
$542$		−	17.2171i		−	0.739539i
$543$	−4.69511	+	14.4501i	−0.201486	+	0.620111i
$544$	−30.0030	+	15.2873i	−1.28637	+	0.655437i
$545$	28.2384	−	55.4210i	1.20960	−	2.37397i
$546$	−0.979561	−	6.18470i	−0.0419213	−	0.264681i
$547$	−20.5341	+	20.5341i	−0.877975	+	0.877975i	−0.993325	−	0.115350i	$-0.963201\pi$
$547$	−20.5341	+	20.5341i	−0.877975	+	0.877975i	0.115350	+	0.993325i	$0.463201\pi$
$548$	11.1651	+	5.68889i	0.476948	+	0.243017i
$549$	−1.21276	+	0.881121i	−0.0517593	+	0.0376053i
$550$	7.62507	+	14.9650i	0.325134	+	0.638112i
$551$	3.49163	+	2.53682i	0.148749	+	0.108072i
$552$	4.82598	−	30.4700i	0.205407	−	1.29689i
$553$	−3.69045	−	5.07947i	−0.156934	−	0.216001i
$554$	−13.9653	−	19.2215i	−0.593327	−	0.816645i
$555$	−5.90821	+	37.3030i	−0.250789	+	1.58342i
$556$	8.59545	+	6.24496i	0.364528	+	0.264845i
$557$	15.3048	+	30.0374i	0.648485	+	1.27272i	0.947890	+	0.318597i	$0.103212\pi$
$557$	15.3048	+	30.0374i	0.648485	+	1.27272i	−0.299405	+	0.954126i	$0.596788\pi$
$558$	0.703066	−	0.510807i	0.0297631	−	0.0216242i
$559$	−2.41858	−	1.23233i	−0.102295	−	0.0521220i
$560$	−0.793148	+	0.793148i	−0.0335166	+	0.0335166i
$561$	6.29783	+	39.7629i	0.265895	+	1.67879i
$562$	−9.24583	+	18.1460i	−0.390012	+	0.765442i
$563$	3.76416	−	1.91794i	0.158641	−	0.0808314i	−0.372868	−	0.927885i	$-0.621625\pi$
$563$	3.76416	−	1.91794i	0.158641	−	0.0808314i	0.531508	+	0.847053i	$0.321625\pi$
$564$	−0.740288	+	2.27837i	−0.0311717	+	0.0959367i
$565$			56.8536i			2.39185i
$566$	−19.7085	−	6.40367i	−0.828409	−	0.269166i
$567$	8.52713	+	1.35056i	0.358106	+	0.0567184i
$568$	18.9252	−	2.99746i	0.794084	−	0.125770i
$569$	6.29114	−	2.04412i	0.263738	−	0.0856938i	−0.174163	−	0.984717i	$-0.555722\pi$
$569$	6.29114	−	2.04412i	0.263738	−	0.0856938i	0.437901	+	0.899023i	$0.355722\pi$
$570$	−3.14463	−	9.67817i	−0.131714	−	0.405374i
$571$	−31.7730	−	31.7730i	−1.32966	−	1.32966i	−0.905664	−	0.423996i	$-0.860627\pi$
$571$	−31.7730	−	31.7730i	−1.32966	−	1.32966i	−0.423996	−	0.905664i	$-0.639373\pi$
$572$	10.4824	−	14.4278i	0.438293	−	0.603258i
$573$	29.9396			1.25074
$574$	−5.03290	−	3.05738i	−0.210069	−	0.127613i
$575$	−29.6922			−1.23825
$576$	0.397439	−	0.547028i	0.0165600	−	0.0227928i
$577$	13.3959	+	13.3959i	0.557678	+	0.557678i	0.928646	−	0.370968i	$-0.120974\pi$
$577$	13.3959	+	13.3959i	0.557678	+	0.557678i	−0.370968	+	0.928646i	$0.620974\pi$
$578$	−5.93405	−	18.2631i	−0.246824	−	0.759647i
$579$	−29.6739	+	9.64165i	−1.23321	+	0.400693i
$580$	−7.35296	+	1.16459i	−0.305315	+	0.0483572i
$581$	−13.8781	−	2.19808i	−0.575761	−	0.0911916i
$582$	−3.59948	−	1.16954i	−0.149203	−	0.0484791i
$583$			2.23578i			0.0925968i
$584$	2.28583	−	7.03507i	0.0945884	−	0.291113i
$585$	1.31130	−	0.668139i	0.0542154	−	0.0276241i
$586$	−10.2324	+	20.0822i	−0.422697	+	0.829590i
$587$	−0.0471993	−	0.298005i	−0.00194812	−	0.0123000i	0.986695	−	0.162581i	$-0.0519820\pi$
$587$	−0.0471993	−	0.298005i	−0.00194812	−	0.0123000i	−0.988643	+	0.150281i	$0.951982\pi$
$588$	1.38562	−	1.38562i	0.0571422	−	0.0571422i
$589$	14.9530	+	7.61896i	0.616130	+	0.313934i
$590$	−21.0102	+	15.2648i	−0.864978	+	0.628444i
$591$	7.65447	+	15.0227i	0.314863	+	0.617953i
$592$	2.07256	+	1.50580i	0.0851817	+	0.0618881i
$593$	0.474372	−	2.99506i	0.0194801	−	0.122993i	−0.976032	−	0.217627i	$-0.930168\pi$
$593$	0.474372	−	2.99506i	0.0194801	−	0.122993i	0.995512	+	0.0946347i	$0.0301683\pi$
$594$	−11.0236	−	15.1726i	−0.452302	−	0.622540i
$595$	11.2904	+	15.5398i	0.462860	+	0.637072i
$596$	−0.520680	+	3.28745i	−0.0213279	+	0.134659i
$597$	−17.4777	−	12.6983i	−0.715317	−	0.519708i
$598$	−10.4886	−	20.5851i	−0.428912	−	0.841788i
$599$	24.0951	−	17.5061i	0.984500	−	0.715281i	0.0257905	−	0.999667i	$-0.491790\pi$
$599$	24.0951	−	17.5061i	0.984500	−	0.715281i	0.958710	+	0.284386i	$0.0917897\pi$
$600$	20.8004	+	10.5984i	0.849174	+	0.432676i
$601$	2.48760	−	2.48760i	0.101471	−	0.101471i	−0.654549	−	0.756020i	$-0.727141\pi$
$601$	2.48760	−	2.48760i	0.101471	−	0.101471i	0.756020	+	0.654549i	$0.227141\pi$
$602$	0.0973773	+	0.614816i	0.00396880	+	0.0250580i
$603$	0.230505	−	0.452391i	0.00938688	−	0.0184228i
$604$	14.6629	−	7.47112i	0.596625	−	0.303996i
$605$	−3.70710	+	11.4093i	−0.150715	+	0.463853i
$606$			9.35925i			0.380194i
$607$	−15.8532	−	5.15101i	−0.643461	−	0.209073i	−0.0309322	−	0.999521i	$-0.509848\pi$
$607$	−15.8532	−	5.15101i	−0.643461	−	0.209073i	−0.612529	+	0.790448i	$0.709848\pi$
$608$	11.2847	+	1.78732i	0.457655	+	0.0724854i
$609$	−3.46558	+	0.548894i	−0.140432	+	0.0222423i
$610$	−34.8008	+	11.3075i	−1.40904	+	0.457826i
$611$	1.51505	+	4.66285i	0.0612924	+	0.188639i
$612$	−0.590641	−	0.590641i	−0.0238752	−	0.0238752i
$613$	9.64653	−	13.2773i	0.389620	−	0.536265i	−0.568481	−	0.822696i	$-0.692469\pi$
$613$	9.64653	−	13.2773i	0.389620	−	0.536265i	0.958101	+	0.286431i	$0.0924688\pi$
$614$	−5.06381			−0.204359
$615$	−7.79222	+	33.0206i	−0.314213	+	1.33152i
$616$	−11.1763			−0.450304
$617$	−14.8159	+	20.3924i	−0.596466	+	0.820966i	−0.995379	−	0.0960233i	$-0.969388\pi$
$617$	−14.8159	+	20.3924i	−0.596466	+	0.820966i	0.398913	+	0.916989i	$0.369388\pi$
$618$	1.32783	+	1.32783i	0.0534130	+	0.0534130i
$619$	−7.61807	−	23.4460i	−0.306196	−	0.942374i	−0.979228	−	0.202761i	$-0.935009\pi$
$619$	−7.61807	−	23.4460i	−0.306196	−	0.942374i	0.673032	−	0.739613i	$-0.264991\pi$
$620$	−27.5313	+	8.94546i	−1.10568	+	0.359258i
$621$	32.7468	−	5.18658i	1.31408	−	0.208130i
$622$	13.9304	+	2.20635i	0.558557	+	0.0884667i
$623$	11.9820	+	3.89320i	0.480051	+	0.155978i
$624$			2.44711i			0.0979626i
$625$	−8.10607	+	24.9479i	−0.324243	+	0.997917i
$626$	5.01757	−	2.55658i	0.200542	−	0.102181i
$627$	6.20143	−	12.1710i	0.247661	−	0.486063i
$628$	1.65517	+	10.4503i	0.0660485	+	0.417014i
$629$	31.0209	−	31.0209i	1.23688	−	1.23688i
$630$	−0.300709	−	0.153219i	−0.0119805	−	0.00610438i
$631$	24.2314	−	17.6052i	0.964639	−	0.700851i	0.0104153	−	0.999946i	$-0.496685\pi$
$631$	24.2314	−	17.6052i	0.964639	−	0.700851i	0.954223	+	0.299095i	$0.0966847\pi$
$632$	8.26857	+	16.2280i	0.328906	+	0.645514i
$633$	9.12730	+	6.63137i	0.362777	+	0.263573i
$634$	−2.11570	+	13.3580i	−0.0840251	+	0.530514i
$635$	32.3835	+	44.5720i	1.28510	+	1.76879i
$636$	0.668399	+	0.919972i	0.0265037	+	0.0364793i
$637$	0.627365	−	3.96102i	0.0248571	−	0.156942i
$638$	5.92437	+	4.30430i	0.234548	+	0.170409i
$639$	0.352610	+	0.692035i	0.0139490	+	0.0273765i
$640$	−14.2749	+	10.3714i	−0.564267	+	0.409964i
$641$	2.55172	+	1.30017i	0.100787	+	0.0513535i	0.503657	−	0.863904i	$-0.331987\pi$
$641$	2.55172	+	1.30017i	0.100787	+	0.0513535i	−0.402870	+	0.915257i	$0.631987\pi$
$642$	−3.89703	+	3.89703i	−0.153804	+	0.153804i
$643$	1.21980	+	7.70149i	0.0481041	+	0.303717i	0.999996	−	0.00271574i	$-0.000864448\pi$
$643$	1.21980	+	7.70149i	0.0481041	+	0.303717i	−0.951892	+	0.306433i	$0.900864\pi$
$644$	3.28232	−	6.44192i	0.129342	−	0.253847i
$645$	3.19547	−	1.62817i	0.125821	−	0.0641092i
$646$	−3.65271	+	11.2419i	−0.143714	+	0.442306i
$647$			4.00577i			0.157483i	0.996895	+	0.0787415i	$0.0250902\pi$
$647$			4.00577i			0.157483i	−0.996895	+	0.0787415i	$0.974910\pi$
$648$	−23.8184	−	7.73905i	−0.935674	−	0.304019i
$649$	−34.4312	−	5.45336i	−1.35154	−	0.214063i
$650$	17.2676	−	2.73491i	0.677290	−	0.107272i
$651$	−12.9760	+	4.21615i	−0.508569	+	0.165244i
$652$	4.46194	+	13.7324i	0.174743	+	0.537804i
$653$	26.9560	+	26.9560i	1.05487	+	1.05487i	0.998405	+	0.0564636i	$0.0179825\pi$
$653$	26.9560	+	26.9560i	1.05487	+	1.05487i	0.0564636	+	0.998405i	$0.482018\pi$
$654$	−18.2911	+	25.1756i	−0.715240	+	0.984444i
$655$	−59.9451			−2.34225
$656$	1.75573	+	1.48780i	0.0685497	+	0.0580887i
$657$	0.299840			0.0116979
$658$	0.660859	−	0.909595i	0.0257630	−	0.0354597i
$659$	13.9798	+	13.9798i	0.544575	+	0.544575i	0.924867	−	0.380292i	$-0.124176\pi$
$659$	13.9798	+	13.9798i	0.544575	+	0.544575i	−0.380292	+	0.924867i	$0.624176\pi$
$660$	7.28114	+	22.4090i	0.283418	+	0.872270i
$661$	−4.65403	+	1.51219i	−0.181021	+	0.0588172i	−0.398125	−	0.917331i	$-0.630339\pi$
$661$	−4.65403	+	1.51219i	−0.181021	+	0.0588172i	0.217104	+	0.976148i	$0.430339\pi$
$662$	23.6250	−	3.74183i	0.918212	−	0.145430i
$663$	41.3897	+	6.55549i	1.60744	+	0.254594i
$664$	38.7650	+	12.5955i	1.50437	+	0.488801i
$665$		−	6.51742i		−	0.252735i
$666$	−0.238192	+	0.733080i	−0.00922976	+	0.0284063i
$667$	−11.5348	+	5.87728i	−0.446629	+	0.227569i
$668$	1.35632	−	2.66193i	0.0524777	−	0.102993i
$669$	1.38867	+	8.76771i	0.0536891	+	0.338979i
$670$	8.76363	−	8.76363i	0.338569	−	0.338569i
$671$	−43.7645	−	22.2991i	−1.68951	−	0.860848i
$672$	−7.51472	+	5.45976i	−0.289887	+	0.210615i
$673$	−7.25469	−	14.2381i	−0.279648	−	0.548840i	0.707871	−	0.706342i	$-0.249656\pi$
$673$	−7.25469	−	14.2381i	−0.279648	−	0.548840i	−0.987519	+	0.157502i	$0.949656\pi$
$674$	14.0434	+	10.2031i	0.540930	+	0.393009i
$675$	−3.92482	+	24.7803i	−0.151066	+	0.953795i
$676$	−2.09179	−	2.87910i	−0.0804533	−	0.110734i
$677$	−15.2914	−	21.0467i	−0.587694	−	0.808892i	0.406818	−	0.913509i	$-0.366638\pi$
$677$	−15.2914	−	21.0467i	−0.587694	−	0.808892i	−0.994513	+	0.104617i	$0.966638\pi$
$678$	4.44958	−	28.0935i	0.170885	−	1.07893i
$679$	−1.96101	−	1.42476i	−0.0752568	−	0.0546772i
$680$	−25.2964	−	49.6470i	−0.970072	−	1.90387i
$681$	15.2130	−	11.0529i	0.582962	−	0.423547i
$682$	25.3713	+	12.9273i	0.971518	+	0.495013i
$683$	34.0808	−	34.0808i	1.30407	−	1.30407i	0.378442	−	0.925625i	$-0.376460\pi$
$683$	34.0808	−	34.0808i	1.30407	−	1.30407i	0.925625	−	0.378442i	$-0.123540\pi$
$684$	0.0443361	+	0.279927i	0.00169523	+	0.0107033i
$685$	−15.3825	+	30.1899i	−0.587736	+	1.15350i
$686$	−0.819434	+	0.417522i	−0.0312861	+	0.0159411i
$687$	1.14613	−	3.52743i	0.0437277	−	0.134580i
$688$		−	0.243265i		−	0.00927439i
$689$	2.21335	+	0.719161i	0.0843220	+	0.0273979i
$690$	30.1485	+	4.77505i	1.14773	+	0.181783i
$691$	−9.24369	+	1.46406i	−0.351646	+	0.0556953i	−0.329759	−	0.944065i	$-0.606968\pi$
$691$	−9.24369	+	1.46406i	−0.351646	+	0.0556953i	−0.0218873	+	0.999760i	$0.506968\pi$
$692$	−27.6168	+	8.97324i	−1.04983	+	0.341112i
$693$	−0.139993	−	0.430854i	−0.00531789	−	0.0163668i
$694$	−6.53753	−	6.53753i	−0.248161	−	0.248161i
$695$	−16.8861	+	23.2418i	−0.640527	+	0.881610i
$696$	10.1784			0.385810
$697$	29.8676	−	25.7103i	1.13131	−	0.973848i
$698$	−3.09555			−0.117168
$699$	10.5352	−	14.5005i	0.398478	−	0.548458i
$700$	3.86864	+	3.86864i	0.146221	+	0.146221i
$701$	−12.7791	−	39.3299i	−0.482658	−	1.48547i	−0.835344	−	0.549727i	$-0.814732\pi$
$701$	−12.7791	−	39.3299i	−0.482658	−	1.48547i	0.352686	−	0.935742i	$-0.385268\pi$
$702$	−18.5662	+	6.03253i	−0.700737	+	0.227683i
$703$	−14.7020	+	2.32856i	−0.554496	+	0.0878235i
$704$	21.8825	+	3.46584i	0.824726	+	0.130624i
$705$	−6.16062	−	2.00171i	−0.232022	−	0.0753887i
$706$			11.1982i			0.421451i
$707$	−1.85230	+	5.70081i	−0.0696631	+	0.214401i
$708$	−15.7979	+	8.04944i	−0.593722	+	0.302516i
$709$	13.8136	−	27.1107i	0.518781	−	1.01816i	−0.471861	−	0.881673i	$-0.656417\pi$
$709$	13.8136	−	27.1107i	0.518781	−	1.01816i	0.990641	−	0.136491i	$-0.0435825\pi$
$710$	2.96583	+	18.7255i	0.111305	+	0.702755i
$711$	−0.522030	+	0.522030i	−0.0195777	+	0.0195777i
$712$	−32.5633	−	16.5918i	−1.22036	−	0.621805i
$713$	−40.7254	+	29.5887i	−1.52518	+	1.10811i
$714$	−4.36279	−	8.56246i	−0.163273	−	0.320442i
$715$	39.0123	+	28.3441i	1.45898	+	1.06001i
$716$	1.20433	−	7.60386i	0.0450080	−	0.284170i
$717$	−10.7537	−	14.8012i	−0.401605	−	0.552761i
$718$	5.45843	+	7.51289i	0.203707	+	0.280378i
$719$	0.995723	−	6.28675i	0.0371342	−	0.234456i	−0.962140	−	0.272557i	$-0.912131\pi$
$719$	0.995723	−	6.28675i	0.0371342	−	0.234456i	0.999274	+	0.0381006i	$0.0121307\pi$
$720$	0.106703	+	0.0775243i	0.00397659	+	0.00288916i
$721$	0.545999	+	1.07158i	0.0203341	+	0.0399079i
$722$	−10.8919	+	7.91340i	−0.405353	+	0.294506i
$723$	−26.7016	−	13.6052i	−0.993044	−	0.505981i
$724$	7.30385	−	7.30385i	0.271446	−	0.271446i
$725$	−1.53250	−	9.67583i	−0.0569156	−	0.359351i
$726$	2.72475	−	5.34763i	0.101125	−	0.198469i
$727$	−36.0035	+	18.3447i	−1.33530	+	0.680367i	−0.968285	−	0.249850i	$-0.919619\pi$
$727$	−36.0035	+	18.3447i	−1.33530	+	0.680367i	−0.367010	+	0.930217i	$0.619619\pi$
$728$	−3.59495	+	11.0641i	−0.133238	+	0.410063i
$729$		−	27.9737i		−	1.03606i
$730$	6.96083	+	2.26171i	0.257632	+	0.0837097i
$731$	−4.11452	−	0.651676i	−0.152181	−	0.0241031i
$732$	−24.6745	+	3.90805i	−0.911995	+	0.144446i
$733$	25.2973	−	8.21960i	0.934378	−	0.303598i	0.198026	−	0.980197i	$-0.436547\pi$
$733$	25.2973	−	8.21960i	0.934378	−	0.303598i	0.736352	+	0.676599i	$0.236547\pi$
$734$	−4.23542	−	13.0353i	−0.156332	−	0.481141i
$735$	3.74667	+	3.74667i	0.138198	+	0.138198i
$736$	−20.1441	+	27.7259i	−0.742521	+	1.02199i
$737$	16.6363			0.612807
$738$	−0.262498	+	0.640743i	−0.00966267	+	0.0235861i
$739$	−1.24367			−0.0457490			−0.0228745	−	0.999738i	$-0.507282\pi$
$739$	−1.24367			−0.0457490			−0.0228745	+	0.999738i	$0.507282\pi$
$740$	15.0920	−	20.7723i	0.554792	−	0.763606i
$741$	−10.0541	−	10.0541i	−0.369347	−	0.369347i
$742$	−0.164919	−	0.507570i	−0.00605438	−	0.0186335i
$743$	3.38920	−	1.10122i	0.124338	−	0.0403998i	−0.246187	−	0.969222i	$-0.579178\pi$
$743$	3.38920	−	1.10122i	0.124338	−	0.0403998i	0.370525	+	0.928822i	$0.379178\pi$
$744$	39.0910	−	6.19140i	1.43314	−	0.226988i
$745$	−8.88912	−	1.40790i	−0.325672	−	0.0515814i
$746$	24.0496	+	7.81418i	0.880517	+	0.286097i
$747$			1.65219i			0.0604505i
$748$	8.45756	−	26.0297i	0.309239	−	0.951740i
$749$	−3.14498	+	1.60245i	−0.114915	+	0.0585522i
$750$	0.574896	−	1.12830i	0.0209922	−	0.0411996i
$751$	−5.46232	−	34.4877i	−0.199323	−	1.25848i	−0.860968	−	0.508659i	$-0.830142\pi$
$751$	−5.46232	−	34.4877i	−0.199323	−	1.25848i	0.661645	−	0.749817i	$-0.269858\pi$
$752$	−0.310691	+	0.310691i	−0.0113298	+	0.0113298i
$753$	19.7460	+	10.0611i	0.719584	+	0.366646i
$754$	6.16674	−	4.48040i	0.224579	−	0.163167i
$755$	20.2016	+	39.6479i	0.735211	+	1.44293i
$756$	−4.94238	−	3.59085i	−0.179753	−	0.130598i
$757$	−5.27265	+	33.2902i	−0.191638	+	1.20995i	0.684906	+	0.728631i	$0.259843\pi$
$757$	−5.27265	+	33.2902i	−0.191638	+	1.20995i	−0.876544	+	0.481322i	$0.840157\pi$
$758$	13.0574	+	17.9720i	0.474266	+	0.652771i
$759$	24.0837	+	33.1483i	0.874181	+	1.20321i
$760$	−2.95754	+	18.6732i	−0.107281	+	0.677347i
$761$	2.70373	+	1.96437i	0.0980101	+	0.0712085i	0.635711	−	0.771927i	$-0.280707\pi$
$761$	2.70373	+	1.96437i	0.0980101	+	0.0712085i	−0.537701	+	0.843136i	$0.680707\pi$
$762$	−12.5135	−	24.5592i	−0.453318	−	0.889686i
$763$	−16.1238	+	11.7147i	−0.583722	+	0.424099i
$764$	−18.1355	−	9.24052i	−0.656121	−	0.334310i
$765$	1.59707	−	1.59707i	0.0577422	−	0.0577422i
$766$	1.24645	+	7.86981i	0.0450362	+	0.284348i
$767$	−16.4738	+	32.3316i	−0.594833	+	1.16742i
$768$	25.2632	−	12.8722i	0.911607	−	0.464487i
$769$	1.63477	−	5.03131i	0.0589514	−	0.181434i	−0.917244	−	0.398325i	$-0.869592\pi$
$769$	1.63477	−	5.03131i	0.0589514	−	0.181434i	0.976196	+	0.216891i	$0.0695917\pi$
$770$		−	11.0583i		−	0.398514i
$771$	−27.7088	−	9.00312i	−0.997907	−	0.324240i
$772$	20.9504	+	3.31822i	0.754022	+	0.119425i
$773$	1.08642	−	0.172072i	0.0390758	−	0.00618899i	−0.136866	−	0.990590i	$-0.543703\pi$
$773$	1.08642	−	0.172072i	0.0390758	−	0.00618899i	0.175942	+	0.984401i	$0.443703\pi$
$774$	0.0696116	−	0.0226182i	0.00250214	−	0.000812993i
$775$	−11.7714	−	36.2287i	−0.422842	−	1.30137i
$776$	4.97199	+	4.97199i	0.178484	+	0.178484i
$777$	7.11311	−	9.79036i	0.255181	−	0.351227i
$778$	−26.4572			−0.948535
$779$	−13.3263	+	1.10082i	−0.477463	+	0.0394410i
$780$	24.5262			0.878180
$781$	−14.9586	+	20.5887i	−0.535260	+	0.736722i
$782$	−25.0713	−	25.0713i	−0.896547	−	0.896547i
$783$	3.38031	+	10.4035i	0.120802	+	0.371792i
$784$	0.341817	−	0.111063i	0.0122077	−	0.00396653i
$785$	−28.2573	+	4.47551i	−1.00854	+	0.159738i
$786$	29.6212	+	4.69153i	1.05655	+	0.167341i
$787$	26.1225	+	8.48772i	0.931167	+	0.302554i	0.735040	−	0.678024i	$-0.237163\pi$
$787$	26.1225	+	8.48772i	0.931167	+	0.302554i	0.196127	+	0.980578i	$0.437163\pi$
$788$		−	11.4623i		−	0.408328i
$789$	−10.2575	+	31.5695i	−0.365178	+	1.12390i
$790$	−16.0567	+	8.18131i	−0.571273	+	0.291078i
$791$	8.27032	−	16.2314i	0.294059	−	0.577123i
$792$	0.205579	+	1.29797i	0.00730493	+	0.0461215i
$793$	−36.1526	+	36.1526i	−1.28382	+	1.28382i
$794$	−0.578738	−	0.294882i	−0.0205386	−	0.0104650i
$795$	−2.48757	+	1.80732i	−0.0882249	+	0.0640991i
$796$	6.66774	+	13.0862i	0.236332	+	0.463827i
$797$	−9.53809	−	6.92983i	−0.337857	−	0.245467i	0.405900	−	0.913917i	$-0.366958\pi$
$797$	−9.53809	−	6.92983i	−0.337857	−	0.245467i	−0.743757	+	0.668450i	$0.766958\pi$
$798$	−0.510078	+	3.22051i	−0.0180566	+	0.114005i
$799$	4.42265	+	6.08726i	0.156462	+	0.215352i
$800$	−15.2436	−	20.9810i	−0.538941	−	0.741789i
$801$	0.231743	−	1.46317i	0.00818824	−	0.0516985i
$802$	−7.57342	−	5.50241i	−0.267427	−	0.194297i
$803$	4.46026	+	8.75374i	0.157399	+	0.308913i
$804$	6.84545	−	4.97351i	0.241420	−	0.175402i
$805$	17.4187	+	8.87526i	0.613928	+	0.312812i
$806$	20.9585	−	20.9585i	0.738233	−	0.738233i
$807$	−5.40007	−	34.0947i	−0.190091	−	1.20019i
$808$	7.89404	−	15.4929i	0.277711	−	0.545039i
$809$	−43.1698	+	21.9961i	−1.51777	+	0.773342i	−0.996777	−	0.0802192i	$-0.974438\pi$
$809$	−43.1698	+	21.9961i	−1.51777	+	0.773342i	−0.520992	+	0.853561i	$0.674438\pi$
$810$	7.65739	−	23.5670i	0.269053	−	0.828061i
$811$		−	35.3534i		−	1.24142i	−0.784039	−	0.620712i	$-0.786844\pi$
$811$		−	35.3534i		−	1.24142i	0.784039	−	0.620712i	$-0.213156\pi$
$812$	2.26864	+	0.737127i	0.0796138	+	0.0258681i
$813$	31.3925	+	4.97209i	1.10098	+	0.174379i
$814$	−24.9453	+	3.95095i	−0.874333	+	0.138481i
$815$	−37.1319	+	12.0649i	−1.30067	+	0.422615i
$816$	1.16052	+	3.57173i	0.0406265	+	0.125035i
$817$	0.999472	+	0.999472i	0.0349671	+	0.0349671i
$818$	−3.11773	+	4.29118i	−0.109009	+	0.150038i
$819$	−0.471560			−0.0164777
$820$	14.9115	−	17.5969i	0.520732	−	0.614509i
$821$	−16.4722			−0.574882			−0.287441	−	0.957798i	$-0.592805\pi$
$821$	−16.4722			−0.574882			−0.287441	+	0.957798i	$0.592805\pi$
$822$	9.96387	−	13.7141i	0.347530	−	0.478334i
$823$	17.9605	+	17.9605i	0.626065	+	0.626065i	0.947076	−	0.321010i	$-0.104022\pi$
$823$	17.9605	+	17.9605i	0.626065	+	0.626065i	−0.321010	+	0.947076i	$0.604022\pi$
$824$	−1.07808	−	3.31798i	−0.0375566	−	0.115587i
$825$	−29.4882	+	9.58131i	−1.02665	+	0.333578i
$826$	8.21885	−	1.30174i	0.285970	−	0.0452933i
$827$	−43.5353	−	6.89532i	−1.51387	−	0.239774i	−0.656443	−	0.754376i	$-0.727940\pi$
$827$	−43.5353	−	6.89532i	−1.51387	−	0.239774i	−0.857429	+	0.514602i	$0.827940\pi$
$828$	−0.808519	−	0.262704i	−0.0280980	−	0.00912959i
$829$		−	30.2223i		−	1.04967i	−0.851206	−	0.524833i	$-0.824128\pi$
$829$		−	30.2223i		−	1.04967i	0.851206	−	0.524833i	$-0.175872\pi$
$830$	−12.4626	+	38.3559i	−0.432583	+	1.33135i
$831$	39.0802	−	19.9123i	1.35568	−	0.690752i
$832$	10.4698	−	20.5481i	0.362974	−	0.712376i
$833$	−0.962806	−	6.07892i	−0.0333593	−	0.210622i
$834$	10.1631	−	10.1631i	0.351918	−	0.351918i
$835$	7.19776	+	3.66744i	0.249089	+	0.126917i
$836$	−7.51289	+	5.45843i	−0.259839	+	0.188784i
$837$	19.3107	+	37.8995i	0.667477	+	1.31000i
$838$	7.67015	+	5.57269i	0.264961	+	0.192505i
$839$	−2.48370	+	15.6815i	−0.0857469	+	0.541385i	0.906997	+	0.421137i	$0.138369\pi$
$839$	−2.48370	+	15.6815i	−0.0857469	+	0.541385i	−0.992744	+	0.120248i	$0.961631\pi$
$840$	−9.03446	−	12.4349i	−0.311718	−	0.429044i
$841$	14.5352	+	20.0060i	0.501214	+	0.689861i
$842$	1.77673	−	11.2178i	0.0612302	−	0.386592i
$843$	−30.4160	−	22.0985i	−1.04758	−	0.761114i
$844$	−3.48205	−	6.83391i	−0.119857	−	0.235233i
$845$	7.78496	−	5.65610i	0.267811	−	0.194576i
$846$	−0.117793	−	0.0600187i	−0.00404982	−	0.00206349i
$847$	2.71803	−	2.71803i	0.0933926	−	0.0933926i
$848$	0.0326269	+	0.205998i	0.00112041	+	0.00707400i
$849$	17.3676	−	34.0858i	0.596053	−	1.16982i
$850$	23.9062	−	12.1808i	0.819977	−	0.417799i
$851$	13.7974	−	42.4640i	0.472968	−	1.45565i
$852$			12.9437i			0.443444i
$853$	13.5521	+	4.40333i	0.464014	+	0.150767i	0.531688	−	0.846940i	$-0.321558\pi$
$853$	13.5521	+	4.40333i	0.464014	+	0.150767i	−0.0676743	+	0.997707i	$0.521558\pi$
$854$	11.5803	+	1.83414i	0.396270	+	0.0627630i
$855$	−0.756912	+	0.119883i	−0.0258858	+	0.00409991i
$856$	9.73793	−	3.16404i	0.332836	−	0.108145i
$857$	−4.48782	−	13.8121i	−0.153301	−	0.471812i	0.844684	−	0.535266i	$-0.179789\pi$
$857$	−4.48782	−	13.8121i	−0.153301	−	0.471812i	−0.997985	+	0.0634535i	$0.979789\pi$
$858$	−17.0592	−	17.0592i	−0.582390	−	0.582390i
$859$	−1.62952	+	2.24285i	−0.0555986	+	0.0765250i	−0.835911	−	0.548865i	$-0.815060\pi$
$859$	−1.62952	+	2.24285i	−0.0555986	+	0.0765250i	0.780312	+	0.625390i	$0.215060\pi$
$860$	−2.43813			−0.0831396
$861$	7.02805	−	8.29371i	0.239515	−	0.282649i
$862$	36.4397			1.24114
$863$	14.0421	−	19.3273i	0.477999	−	0.657909i	−0.500120	−	0.865956i	$-0.666711\pi$
$863$	14.0421	−	19.3273i	0.477999	−	0.657909i	0.978119	+	0.208047i	$0.0667108\pi$
$864$	20.4766	+	20.4766i	0.696629	+	0.696629i
$865$	−24.2633	−	74.6747i	−0.824976	−	2.53902i
$866$	13.7298	−	4.46109i	0.466558	−	0.151594i
$867$	35.0134	−	5.54558i	1.18912	−	0.188338i
$868$	9.16132	+	1.45101i	0.310955	+	0.0492505i
$869$	−23.0060	−	7.47510i	−0.780424	−	0.253575i
$870$			10.0710i			0.341438i
$871$	5.35123	−	16.4694i	0.181320	−	0.558044i
$872$	51.5127	−	26.2470i	1.74444	−	0.888837i
$873$	−0.129395	+	0.253953i	−0.00437937	+	0.00859500i
$874$	1.88196	+	11.8822i	0.0636583	+	0.401922i
$875$	0.573478	−	0.573478i	0.0193871	−	0.0193871i
$876$	4.45226	+	2.26854i	0.150428	+	0.0766469i
$877$	−16.5569	+	12.0293i	−0.559088	+	0.406201i	−0.831125	−	0.556086i	$-0.812303\pi$
$877$	−16.5569	+	12.0293i	−0.559088	+	0.406201i	0.272037	+	0.962287i	$0.412303\pi$
$878$	−12.6199	−	24.7680i	−0.425902	−	0.835880i
$879$	−33.6616	−	24.4566i	−1.13538	−	0.824899i
$880$	−0.676045	+	4.26838i	−0.0227895	+	0.143887i
$881$	15.9627	+	21.9708i	0.537797	+	0.740214i	0.988294	−	0.152564i	$-0.0487530\pi$
$881$	15.9627	+	21.9708i	0.537797	+	0.740214i	−0.450497	+	0.892778i	$0.648753\pi$
$882$	0.0635625	+	0.0874863i	0.00214026	+	0.00294582i
$883$	7.41169	−	46.7956i	0.249423	−	1.57480i	−0.471554	−	0.881837i	$-0.656307\pi$
$883$	7.41169	−	46.7956i	0.249423	−	1.57480i	0.720977	−	0.692959i	$-0.243693\pi$
$884$	−23.0481	−	16.7454i	−0.775190	−	0.563208i
$885$	−21.7654	−	42.7169i	−0.731634	−	1.43591i
$886$	−20.2572	+	14.7177i	−0.680553	+	0.494451i
$887$	−24.2328	−	12.3472i	−0.813659	−	0.414580i	−0.00292557	−	0.999996i	$-0.500931\pi$
$887$	−24.2328	−	12.3472i	−0.813659	−	0.414580i	−0.810733	+	0.585416i	$0.800931\pi$
$888$	−24.8227	+	24.8227i	−0.832994	+	0.832994i
$889$	−2.76156	−	17.4358i	−0.0926198	−	0.584778i
$890$	16.4167	−	32.2197i	0.550290	−	1.08001i
$891$	29.6372	−	15.1009i	0.992884	−	0.505900i
$892$	1.86489	−	5.73954i	0.0624411	−	0.192174i
$893$		−	2.55300i		−	0.0854329i
$894$	4.28227	+	1.39139i	0.143220	+	0.0465351i
$895$	20.5605	+	3.25647i	0.687263	+	0.108852i
$896$	5.58412	−	0.884437i	0.186552	−	0.0295470i
$897$	40.5624	−	13.1795i	1.35434	−	0.440052i
$898$	−5.24145	−	16.1315i	−0.174909	−	0.538316i
$899$	−11.7441	−	11.7441i	−0.391686	−	0.391686i
$900$	0.378130	−	0.520452i	0.0126043	−	0.0173484i
$901$	3.57160			0.118987
$902$	−22.6111	+	1.86780i	−0.752868	+	0.0621909i
$903$	−1.14913			−0.0382408
$904$	−31.0611	+	42.7519i	−1.03308	+	1.42191i
$905$	19.7493	+	19.7493i	0.656490	+	0.656490i
$906$	−6.87939	−	21.1726i	−0.228553	−	0.703412i
$907$	−21.2295	+	6.89787i	−0.704912	+	0.229040i	−0.639470	−	0.768816i	$-0.720846\pi$
$907$	−21.2295	+	6.89787i	−0.704912	+	0.229040i	−0.0654428	+	0.997856i	$0.520846\pi$
$908$	−12.6264	+	1.99983i	−0.419022	+	0.0663666i
$909$	0.696145	+	0.110258i	0.0230897	+	0.00365704i
$910$	−10.9474	−	3.55701i	−0.362901	−	0.117914i
$911$			13.5300i			0.448268i	0.974558	+	0.224134i	$0.0719554\pi$
$911$			13.5300i			0.448268i	−0.974558	+	0.224134i	$0.928045\pi$
$912$	0.393768	−	1.21189i	0.0130390	−	0.0401298i
$913$	−48.2353	+	24.5771i	−1.59636	+	0.813384i
$914$	−5.73846	+	11.2624i	−0.189811	+	0.372526i
$915$	−10.5672	−	66.7188i	−0.349341	−	2.20565i
$916$	−1.78296	+	1.78296i	−0.0589107	+	0.0589107i
$917$	17.1140	+	8.72003i	0.565155	+	0.287961i
$918$	−24.2378	+	17.6098i	−0.799967	+	0.581210i
$919$	14.8931	+	29.2294i	0.491279	+	0.964189i	0.994957	+	0.100298i	$0.0319796\pi$
$919$	14.8931	+	29.2294i	0.491279	+	0.964189i	−0.503678	+	0.863891i	$0.668020\pi$
$920$	−45.8791	−	33.3331i	−1.51259	−	1.09896i
$921$	1.46236	−	9.23300i	0.0481865	−	0.304238i
$922$	20.1744	+	27.7677i	0.664409	+	0.914481i
$923$	15.5706	+	21.4310i	0.512511	+	0.705411i
$924$	1.18105	−	7.45683i	0.0388536	−	0.245312i
$925$	27.3345	+	19.8597i	0.898752	+	0.652982i
$926$	3.57080	+	7.00810i	0.117344	+	0.230300i
$927$	0.114407	−	0.0831215i	0.00375762	−	0.00273007i
$928$	−10.0748	−	5.13335i	−0.330721	−	0.168511i
$929$	17.2310	−	17.2310i	0.565332	−	0.565332i	−0.365485	−	0.930817i	$-0.619097\pi$
$929$	17.2310	−	17.2310i	0.565332	−	0.565332i	0.930817	+	0.365485i	$0.119097\pi$
$930$	6.12607	+	38.6785i	0.200882	+	1.26832i
$931$	−0.948069	+	1.86069i	−0.0310717	+	0.0609817i
$932$	−10.8570	+	5.53191i	−0.355632	+	0.181204i
$933$	−8.04582	+	24.7625i	−0.263408	+	0.810688i
$934$		−	29.7631i		−	0.973877i
$935$	70.3832	+	22.8689i	2.30178	+	0.747893i
$936$	1.35108	+	0.213989i	0.0441613	+	0.00699446i
$937$	29.8871	−	4.73365i	0.976369	−	0.154642i	0.352194	−	0.935927i	$-0.385436\pi$
$937$	29.8871	−	4.73365i	0.976369	−	0.154642i	0.624174	+	0.781285i	$0.285436\pi$
$938$	−3.77679	+	1.22715i	−0.123317	+	0.0400680i
$939$	3.21248	+	9.88700i	0.104835	+	0.322650i
$940$	3.11392	+	3.11392i	0.101565	+	0.101565i
$941$	19.9174	−	27.4139i	0.649287	−	0.893667i	−0.349781	−	0.936832i	$-0.613744\pi$
$941$	19.9174	−	27.4139i	0.649287	−	0.893667i	0.999068	+	0.0431645i	$0.0137440\pi$
$942$	14.3133			0.466352
$943$	15.2053	−	37.1153i	0.495152	−	1.20864i
$944$	−3.25196			−0.105842
$945$	9.70952	−	13.3640i	0.315851	−	0.434731i
$946$	1.69584	+	1.69584i	0.0551364	+	0.0551364i
$947$	6.77865	+	20.8625i	0.220276	+	0.677941i	0.998737	+	0.0502474i	$0.0160010\pi$
$947$	6.77865	+	20.8625i	0.220276	+	0.677941i	−0.778460	+	0.627694i	$0.783999\pi$
$948$	−11.7011	+	3.80193i	−0.380035	+	0.123481i
$949$	10.1006	−	1.59978i	0.327879	−	0.0519309i
$950$	−8.99160	−	1.42413i	−0.291726	−	0.0462048i
$951$	−23.7450	−	7.71523i	−0.769986	−	0.250184i
$952$			17.8537i			0.578643i
$953$	6.68972	−	20.5889i	0.216701	−	0.666938i	−0.782327	−	0.622868i	$-0.785967\pi$
$953$	6.68972	−	20.5889i	0.216701	−	0.666938i	0.999028	−	0.0440705i	$-0.0140326\pi$
$954$	−0.0559139	+	0.0284896i	−0.00181028	+	0.000922384i
$955$	24.9860	−	49.0378i	0.808527	−	1.58682i
$956$	1.94570	+	12.2847i	0.0629285	+	0.397315i
$957$	−9.55905	+	9.55905i	−0.309000	+	0.309000i
$958$	−1.99276	−	1.01536i	−0.0643831	−	0.0328048i
$959$	8.78326	−	6.38141i	0.283626	−	0.206067i
$960$	13.8328	+	27.1484i	0.446452	+	0.876210i
$961$	−27.1684	−	19.7390i	−0.876399	−	0.636741i
$962$	−4.11259	+	25.9659i	−0.132595	+	0.837174i
$963$	0.243953	+	0.335772i	0.00786127	+	0.0108201i
$964$	11.9751	+	16.4823i	0.385692	+	0.530860i
$965$	−8.97234	+	56.6491i	−0.288830	+	1.82360i
$966$	−7.91263	−	5.74886i	−0.254585	−	0.184967i
$967$	5.18233	+	10.1709i	0.166653	+	0.327074i	0.959196	−	0.282741i	$-0.0912437\pi$
$967$	5.18233	+	10.1709i	0.166653	+	0.327074i	−0.792544	+	0.609815i	$0.791244\pi$
$968$	−9.02090	+	6.55406i	−0.289943	+	0.210656i
$969$	−19.4428	−	9.90661i	−0.624593	−	0.318246i
$970$	−4.91952	+	4.91952i	−0.157956	+	0.157956i
$971$	2.58389	+	16.3141i	0.0829210	+	0.523543i	0.993828	+	0.110931i	$0.0353833\pi$
$971$	2.58389	+	16.3141i	0.0829210	+	0.523543i	−0.910907	+	0.412612i	$0.864617\pi$
$972$	−0.639937	+	1.25595i	−0.0205260	+	0.0402845i
$973$	8.20181	−	4.17903i	0.262938	−	0.133974i
$974$	2.50359	−	7.70525i	0.0802201	−	0.246892i
$975$			32.2743i			1.03360i
$976$	−4.35773	−	1.41591i	−0.139488	−	0.0453223i
$977$	−1.58989	−	0.251814i	−0.0508652	−	0.00805626i	0.130950	−	0.991389i	$-0.458197\pi$
$977$	−1.58989	−	0.251814i	−0.0508652	−	0.00805626i	−0.181815	+	0.983333i	$0.558197\pi$
$978$	19.2926	−	3.05564i	0.616908	−	0.0977087i
$979$	46.1641	−	14.9996i	1.47541	−	0.479390i
$980$	−1.11313	−	3.42587i	−0.0355577	−	0.109435i
$981$	1.65709	+	1.65709i	0.0529068	+	0.0529068i
$982$	−14.4368	+	19.8705i	−0.460696	+	0.634093i
$983$	−3.18938			−0.101725			−0.0508626	−	0.998706i	$-0.516197\pi$
$983$	−3.18938			−0.101725			−0.0508626	+	0.998706i	$0.516197\pi$
$984$	−23.8998	+	20.5732i	−0.761898	+	0.655850i
$985$	30.9936			0.987540
$986$	6.87600	−	9.46400i	0.218976	−	0.301395i
$987$	1.46764	+	1.46764i	0.0467156	+	0.0467156i
$988$	2.98707	+	9.19326i	0.0950314	+	0.292477i
$989$	−4.03228	+	1.31017i	−0.128219	+	0.0416609i
$990$	−1.28428	+	0.203409i	−0.0408170	+	0.00646478i
$991$	−10.5515	−	1.67119i	−0.335179	−	0.0530871i	−0.0134233	−	0.999910i	$-0.504273\pi$
$991$	−10.5515	−	1.67119i	−0.335179	−	0.0530871i	−0.321756	+	0.946823i	$0.604273\pi$
$992$	−41.8156	−	13.5867i	−1.32765	−	0.431379i
$993$			44.1568i			1.40127i
$994$	1.87721	−	5.77746i	0.0595415	−	0.183250i
$995$	−35.3845	+	18.0293i	−1.12176	+	0.571567i
$996$	−12.5002	+	24.5331i	−0.396085	+	0.777361i
$997$	−0.668542	−	4.22101i	−0.0211729	−	0.133681i	0.974838	−	0.222916i	$-0.0715576\pi$
$997$	−0.668542	−	4.22101i	−0.0211729	−	0.133681i	−0.996011	+	0.0892355i	$0.971558\pi$
$998$	4.55637	−	4.55637i	0.144229	−	0.144229i
$999$	−33.6155	−	17.1280i	−1.06355	−	0.541905i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.u.a.8.8	✓	160
41.36	even	20	inner	287.2.u.a.36.8	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.u.a.8.8	✓	160	1.1	even	1	trivial
287.2.u.a.36.8	yes	160	41.36	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.u (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540570 + 0.744030i) q^{2} +(-1.20050 - 1.20050i) q^{3} +(0.356668 + 1.09771i) q^{4} +(-2.96817 + 0.964417i) q^{5} +(1.54217 - 0.244255i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-2.75886 - 0.896407i) q^{8} -0.117584i q^{9} +O(q^{10})\)	\(q+(-0.540570 + 0.744030i) q^{2} +(-1.20050 - 1.20050i) q^{3} +(0.356668 + 1.09771i) q^{4} +(-2.96817 + 0.964417i) q^{5} +(1.54217 - 0.244255i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-2.75886 - 0.896407i) q^{8} -0.117584i q^{9} +(0.886947 - 2.72974i) q^{10} +(3.43285 - 1.74912i) q^{11} +(0.889626 - 1.74599i) q^{12} +(-0.627365 - 3.96102i) q^{13} +(-0.650306 + 0.650306i) q^{14} +(4.72108 + 2.40551i) q^{15} +(0.290767 - 0.211254i) q^{16} +(-2.79417 - 5.48387i) q^{17} +(0.0874863 + 0.0635625i) q^{18} +(-0.326682 + 2.06259i) q^{19} +(-2.11731 - 2.91422i) q^{20} +(-0.997923 - 1.37352i) q^{21} +(-0.554293 + 3.49967i) q^{22} +(-5.06768 - 3.68189i) q^{23} +(2.23588 + 4.38815i) q^{24} +(3.83485 - 2.78618i) q^{25} +(3.28626 + 1.67443i) q^{26} +(-3.74267 + 3.74267i) q^{27} +(0.180557 + 1.13999i) q^{28} +(0.938262 - 1.84144i) q^{29} +(-4.34185 + 2.21228i) q^{30} +(2.48335 - 7.64297i) q^{31} -5.47113i q^{32} +(-6.22097 - 2.02132i) q^{33} +(5.59061 + 0.885466i) q^{34} +(-3.08250 + 0.488219i) q^{35} +(0.129074 - 0.0419386i) q^{36} +(2.20265 + 6.77905i) q^{37} +(-1.35804 - 1.35804i) q^{38} +(-4.00207 + 5.50838i) q^{39} +9.05326 q^{40} +(1.51892 + 6.22036i) q^{41} +1.56139 q^{42} +(0.397843 - 0.547583i) q^{43} +(3.14442 + 3.14442i) q^{44} +(0.113400 + 0.349010i) q^{45} +(5.47887 - 1.78019i) q^{46} +(-1.20747 + 0.191245i) q^{47} +(-0.602678 - 0.0954548i) q^{48} +(0.951057 + 0.309017i) q^{49} +4.35937i q^{50} +(-3.22899 + 9.93782i) q^{51} +(4.12431 - 2.10144i) q^{52} +(-0.263453 + 0.517056i) q^{53} +(-0.761486 - 4.80783i) q^{54} +(-8.50239 + 8.50239i) q^{55} +(-2.58466 - 1.31695i) q^{56} +(2.86833 - 2.08396i) q^{57} +(0.862894 + 1.69352i) q^{58} +(-7.32008 - 5.31835i) q^{59} +(-0.956700 + 6.04036i) q^{60} +(-7.49352 - 10.3139i) q^{61} +(4.34417 + 5.97924i) q^{62} +(0.0183943 - 0.116137i) q^{63} +(4.65222 + 3.38003i) q^{64} +(5.68220 + 11.1520i) q^{65} +(4.86679 - 3.53593i) q^{66} +(3.84738 + 1.96034i) q^{67} +(5.02312 - 5.02312i) q^{68} +(1.66365 + 10.5039i) q^{69} +(1.30305 - 2.55739i) q^{70} +(-5.88544 + 2.99878i) q^{71} +(-0.105403 + 0.324398i) q^{72} +2.54999i q^{73} +(-6.23450 - 2.02571i) q^{74} +(-7.94857 - 1.25893i) q^{75} +(-2.38065 + 0.377058i) q^{76} +(3.66421 - 1.19057i) q^{77} +(-1.93500 - 5.95532i) q^{78} +(-4.43962 - 4.43962i) q^{79} +(-0.659308 + 0.907459i) q^{80} +8.63342 q^{81} +(-5.44922 - 2.23242i) q^{82} -14.0511 q^{83} +(1.15181 - 1.58533i) q^{84} +(13.5823 + 13.5823i) q^{85} +(0.192357 + 0.592014i) q^{86} +(-3.33705 + 1.08427i) q^{87} +(-11.0387 + 1.74835i) q^{88} +(12.4436 + 1.97087i) q^{89} +(-0.320975 - 0.104291i) q^{90} -4.01040i q^{91} +(2.23417 - 6.87607i) q^{92} +(-12.1567 + 6.19414i) q^{93} +(0.510431 - 1.00178i) q^{94} +(-1.01955 - 6.43718i) q^{95} +(-6.56811 + 6.56811i) q^{96} +(-2.15975 - 1.10045i) q^{97} +(-0.744030 + 0.540570i) q^{98} +(-0.205670 - 0.403649i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Introduction

L-functions

Modular forms

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