LMFDB - Embedded newform 507.2.s.a.203.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [507,2,Mod(5,507)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(507, base_ring=CyclotomicField(52))

chi = DirichletCharacter(H, H._module([26, 3]))

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

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

chi := DirichletCharacter("507.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 507 = 3 \cdot 13^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	507.s (of order $52$, degree $24$, 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:	$4.04841538248$
Analytic rank:	$0$
Dimension:	$1392$
Relative dimension:	$58$ over $\Q(\zeta_{52})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{52}]$

Embedding invariants

Embedding label			203.20
Character	$\chi$	$=$	507.203
Dual form			507.2.s.a.5.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.205529 - 1.12154i) q^{2} +(0.653740 + 1.60394i) q^{3} +(0.654428 - 0.248192i) q^{4} +(-3.58890 + 0.217089i) q^{5} +(1.66452 - 1.06285i) q^{6} +(-1.80817 + 1.09308i) q^{7} +(-1.59261 - 2.63450i) q^{8} +(-2.14525 + 2.09712i) q^{9} +(0.981098 + 3.98047i) q^{10} +(1.03620 - 5.65434i) q^{11} +(0.825911 + 0.887411i) q^{12} +(2.04874 - 2.96693i) q^{13} +(1.59756 + 1.80327i) q^{14} +(-2.69441 - 5.61447i) q^{15} +(-1.57958 + 1.39939i) q^{16} +(-4.54606 - 1.12050i) q^{17} +(2.79291 + 1.97495i) q^{18} +(-2.39174 - 2.39174i) q^{19} +(-2.29480 + 1.03281i) q^{20} +(-2.93530 - 2.18560i) q^{21} -6.55452 q^{22} -1.16467 q^{23} +(3.18443 - 4.27674i) q^{24} +(7.86956 - 0.955538i) q^{25} +(-3.74860 - 1.68795i) q^{26} +(-4.76609 - 2.06987i) q^{27} +(-0.912024 + 1.16411i) q^{28} +(3.68914 + 2.54643i) q^{29} +(-5.74306 + 4.17582i) q^{30} +(2.84435 - 2.22841i) q^{31} +(-2.95254 - 2.31316i) q^{32} +(9.74663 - 2.03447i) q^{33} +(-0.322337 + 5.32887i) q^{34} +(6.25205 - 4.31548i) q^{35} +(-0.883422 + 1.90485i) q^{36} +(-3.98148 - 5.08199i) q^{37} +(-2.19086 + 3.17400i) q^{38} +(6.09812 + 1.34646i) q^{39} +(6.28766 + 9.10924i) q^{40} +(-3.02507 + 9.70781i) q^{41} +(-1.84795 + 3.74125i) q^{42} +(-5.12736 + 0.622574i) q^{43} +(-0.725246 - 3.95754i) q^{44} +(7.24382 - 7.99208i) q^{45} +(0.239373 + 1.30622i) q^{46} +(3.40765 - 1.53366i) q^{47} +(-3.27717 - 1.61872i) q^{48} +(-1.17841 + 2.24526i) q^{49} +(-2.68910 - 8.62962i) q^{50} +(-1.17472 - 8.02412i) q^{51} +(0.604389 - 2.45012i) q^{52} +(1.75692 - 7.12810i) q^{53} +(-1.34187 + 5.77077i) q^{54} +(-2.49132 + 20.5178i) q^{55} +(5.75942 + 3.02278i) q^{56} +(2.27263 - 5.39979i) q^{57} +(2.09769 - 4.66087i) q^{58} +(0.293499 + 4.85212i) q^{59} +(-3.15676 - 3.00554i) q^{60} +(-2.80038 + 0.690231i) q^{61} +(-3.08384 - 2.73204i) q^{62} +(1.58665 - 6.13686i) q^{63} +(-3.94888 + 7.52396i) q^{64} +(-6.70866 + 11.0928i) q^{65} +(-4.28496 - 10.5131i) q^{66} +(-1.39008 + 0.625623i) q^{67} +(-3.25317 + 0.395006i) q^{68} +(-0.761389 - 1.86805i) q^{69} +(-6.12495 - 6.12495i) q^{70} +(-0.979798 + 3.14428i) q^{71} +(8.94142 + 2.31176i) q^{72} +(4.88695 + 0.895566i) q^{73} +(-4.88133 + 5.50988i) q^{74} +(6.67728 + 11.9976i) q^{75} +(-2.15884 - 0.971613i) q^{76} +(4.30700 + 11.3566i) q^{77} +(0.256766 - 7.11601i) q^{78} +(-0.313705 + 0.827171i) q^{79} +(5.36518 - 5.36518i) q^{80} +(0.204168 - 8.99768i) q^{81} +(11.5094 + 1.39750i) q^{82} +(-17.0563 + 5.31495i) q^{83} +(-2.46339 - 0.701804i) q^{84} +(16.5586 + 3.03448i) q^{85} +(1.75206 + 5.62257i) q^{86} +(-1.67258 + 7.58186i) q^{87} +(-16.5466 + 6.27531i) q^{88} +(11.8116 + 11.8116i) q^{89} +(-10.4522 - 6.48161i) q^{90} +(-0.461399 + 7.60413i) q^{91} +(-0.762190 + 0.289061i) q^{92} +(5.43370 + 3.10537i) q^{93} +(-2.42043 - 3.50660i) q^{94} +(9.10296 + 8.06452i) q^{95} +(1.77998 - 6.24790i) q^{96} +(-9.84564 - 0.595552i) q^{97} +(2.76035 + 0.860158i) q^{98} +(9.63494 + 14.3030i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1392 q - 22 q^{3} - 52 q^{4} - 22 q^{6} - 56 q^{7} - 22 q^{9} - 52 q^{10} - 26 q^{12} - 44 q^{13} - 34 q^{15} + 48 q^{16} - 34 q^{18} - 56 q^{19} - 22 q^{21} - 96 q^{22} - 194 q^{24} - 52 q^{25} - 34 q^{27}+ \cdots - 58 q^{99}+O(q^{100}) $ 1392 * q - 22 * q^3 - 52 * q^4 - 22 * q^6 - 56 * q^7 - 22 * q^9 - 52 * q^10 - 26 * q^12 - 44 * q^13 - 34 * q^15 + 48 * q^16 - 34 * q^18 - 56 * q^19 - 22 * q^21 - 96 * q^22 - 194 * q^24 - 52 * q^25 - 34 * q^27 - 56 * q^28 + 78 * q^30 - 32 * q^31 - 10 * q^33 - 52 * q^34 - 26 * q^36 - 56 * q^37 + 70 * q^39 - 36 * q^40 - 10 * q^42 - 52 * q^43 - 140 * q^45 - 180 * q^46 - 2 * q^48 - 52 * q^49 - 26 * q^51 - 64 * q^52 - 22 * q^54 + 132 * q^55 - 22 * q^57 - 60 * q^58 - 18 * q^60 - 92 * q^61 + 108 * q^63 - 52 * q^64 - 124 * q^66 - 240 * q^67 - 104 * q^69 - 268 * q^70 - 2 * q^72 - 56 * q^73 + 104 * q^75 - 48 * q^76 - 22 * q^78 - 12 * q^79 + 2 * q^81 + 208 * q^82 - 22 * q^84 - 52 * q^85 - 26 * q^87 - 260 * q^88 - 26 * q^90 - 32 * q^91 - 176 * q^93 - 240 * q^94 + 292 * q^96 - 80 * q^97 - 58 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/507\mathbb{Z}\right)^\times$.

$n$	$170$	$340$
$\chi(n)$	$-1$	$e\left(\frac{49}{52}\right)$

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 $

$2$	−0.205529	−	1.12154i	−0.145331	−	0.793047i	−0.972820	−	0.231564i	$-0.925616\pi$
$2$	−0.205529	−	1.12154i	−0.145331	−	0.793047i	0.827488	−	0.561483i	$-0.189769\pi$
$3$	0.653740	+	1.60394i	0.377437	+	0.926035i
$3$	0.653740	+	1.60394i	0.377437	+	0.926035i
$4$	0.654428	−	0.248192i	0.327214	−	0.124096i
$5$	−3.58890	+	0.217089i	−1.60501	+	0.0970850i	−0.838409	−	0.545042i	$-0.816514\pi$
$5$	−3.58890	+	0.217089i	−1.60501	+	0.0970850i	−0.766598	+	0.642127i	$0.778052\pi$
$6$	1.66452	−	1.06285i	0.679536	−	0.433907i
$7$	−1.80817	+	1.09308i	−0.683423	+	0.413144i	−0.816018	−	0.578027i	$-0.803823\pi$
$7$	−1.80817	+	1.09308i	−0.683423	+	0.413144i	0.132595	+	0.991170i	$0.457669\pi$
$8$	−1.59261	−	2.63450i	−0.563074	−	0.931438i
$9$	−2.14525	+	2.09712i	−0.715082	+	0.699040i
$10$	0.981098	+	3.98047i	0.310251	+	1.25874i
$11$	1.03620	−	5.65434i	0.312425	−	1.70485i	−0.334585	−	0.942366i	$-0.608596\pi$
$11$	1.03620	−	5.65434i	0.312425	−	1.70485i	0.647010	−	0.762482i	$-0.276019\pi$
$12$	0.825911	+	0.887411i	0.238420	+	0.256173i
$13$	2.04874	−	2.96693i	0.568219	−	0.822877i
$13$	2.04874	−	2.96693i	0.568219	−	0.822877i
$14$	1.59756	+	1.80327i	0.426965	+	0.481944i
$15$	−2.69441	−	5.61447i	−0.695693	−	1.44965i
$16$	−1.57958	+	1.39939i	−0.394896	+	0.349847i
$17$	−4.54606	−	1.12050i	−1.10258	−	0.271762i	−0.354292	−	0.935135i	$-0.615278\pi$
$17$	−4.54606	−	1.12050i	−1.10258	−	0.271762i	−0.748289	+	0.663373i	$0.769124\pi$
$18$	2.79291	+	1.97495i	0.658295	+	0.465501i
$19$	−2.39174	−	2.39174i	−0.548703	−	0.548703i	0.377362	−	0.926066i	$-0.376831\pi$
$19$	−2.39174	−	2.39174i	−0.548703	−	0.548703i	−0.926066	+	0.377362i	$0.876831\pi$
$20$	−2.29480	+	1.03281i	−0.513133	+	0.230943i
$21$	−2.93530	−	2.18560i	−0.640535	−	0.476938i
$22$	−6.55452			−1.39743
$23$	−1.16467			−0.242849			−0.121425	−	0.992601i	$-0.538746\pi$
$23$	−1.16467			−0.242849			−0.121425	+	0.992601i	$0.538746\pi$
$24$	3.18443	−	4.27674i	0.650019	−	0.872985i
$25$	7.86956	−	0.955538i	1.57391	−	0.191108i
$26$	−3.74860	−	1.68795i	−0.735160	−	0.331035i
$27$	−4.76609	−	2.06987i	−0.917235	−	0.398348i
$28$	−0.912024	+	1.16411i	−0.172356	+	0.219997i
$29$	3.68914	+	2.54643i	0.685056	+	0.472860i	0.859053	−	0.511886i	$-0.171053\pi$
$29$	3.68914	+	2.54643i	0.685056	+	0.472860i	−0.173998	+	0.984746i	$0.555668\pi$
$30$	−5.74306	+	4.17582i	−1.04853	+	0.762397i
$31$	2.84435	−	2.22841i	0.510861	−	0.400234i	−0.327918	−	0.944706i	$-0.606347\pi$
$31$	2.84435	−	2.22841i	0.510861	−	0.400234i	0.838779	+	0.544472i	$0.183270\pi$
$32$	−2.95254	−	2.31316i	−0.521940	−	0.408913i
$33$	9.74663	−	2.03447i	1.69667	−	0.354156i
$34$	−0.322337	+	5.32887i	−0.0552804	+	0.913894i
$35$	6.25205	−	4.31548i	1.05679	−	0.729449i
$36$	−0.883422	+	1.90485i	−0.147237	+	0.317475i
$37$	−3.98148	−	5.08199i	−0.654551	−	0.835473i	0.339923	−	0.940453i	$-0.389599\pi$
$37$	−3.98148	−	5.08199i	−0.654551	−	0.835473i	−0.994474	+	0.104980i	$0.966522\pi$
$38$	−2.19086	+	3.17400i	−0.355404	+	0.514891i
$39$	6.09812	+	1.34646i	0.976480	+	0.215607i
$40$	6.28766	+	9.10924i	0.994166	+	1.44030i
$41$	−3.02507	+	9.70781i	−0.472437	+	1.51610i	0.344168	+	0.938908i	$0.388161\pi$
$41$	−3.02507	+	9.70781i	−0.472437	+	1.51610i	−0.816605	+	0.577197i	$0.804147\pi$
$42$	−1.84795	+	3.74125i	−0.285144	+	0.577288i
$43$	−5.12736	+	0.622574i	−0.781915	+	0.0949417i	−0.501753	−	0.865011i	$-0.667311\pi$
$43$	−5.12736	+	0.622574i	−0.781915	+	0.0949417i	−0.280162	+	0.959953i	$0.590388\pi$
$44$	−0.725246	−	3.95754i	−0.109335	−	0.596621i
$45$	7.24382	−	7.99208i	1.07985	−	1.19139i
$46$	0.239373	+	1.30622i	0.0352936	+	0.192591i
$47$	3.40765	−	1.53366i	0.497057	−	0.223707i	−0.146348	−	0.989233i	$-0.546752\pi$
$47$	3.40765	−	1.53366i	0.497057	−	0.223707i	0.643405	+	0.765526i	$0.277521\pi$
$48$	−3.27717	−	1.61872i	−0.473019	−	0.233642i
$49$	−1.17841	+	2.24526i	−0.168344	+	0.320752i
$50$	−2.68910	−	8.62962i	−0.380296	−	1.22041i
$51$	−1.17472	−	8.02412i	−0.164494	−	1.12360i
$52$	0.604389	−	2.45012i	0.0838137	−	0.339771i
$53$	1.75692	−	7.12810i	0.241331	−	0.979120i	−0.717821	−	0.696228i	$-0.754860\pi$
$53$	1.75692	−	7.12810i	0.241331	−	0.979120i	0.959152	−	0.282891i	$-0.0912936\pi$
$54$	−1.34187	+	5.77077i	−0.182605	+	0.785302i
$55$	−2.49132	+	20.5178i	−0.335929	+	2.76662i
$56$	5.75942	+	3.02278i	0.769635	+	0.403936i
$57$	2.27263	−	5.39979i	0.301018	−	0.715220i
$58$	2.09769	−	4.66087i	0.275440	−	0.612002i
$59$	0.293499	+	4.85212i	0.0382103	+	0.631692i	0.965993	+	0.258570i	$0.0832512\pi$
$59$	0.293499	+	4.85212i	0.0382103	+	0.631692i	−0.927782	+	0.373122i	$0.878287\pi$
$60$	−3.15676	−	3.00554i	−0.407536	−	0.388013i
$61$	−2.80038	+	0.690231i	−0.358552	+	0.0883750i	−0.414477	−	0.910060i	$-0.636035\pi$
$61$	−2.80038	+	0.690231i	−0.358552	+	0.0883750i	0.0559250	+	0.998435i	$0.482189\pi$
$62$	−3.08384	−	2.73204i	−0.391648	−	0.346970i
$63$	1.58665	−	6.13686i	0.199900	−	0.773172i
$64$	−3.94888	+	7.52396i	−0.493610	+	0.940495i
$65$	−6.70866	+	11.0928i	−0.832107	+	1.37589i
$66$	−4.28496	−	10.5131i	−0.527442	−	1.29407i
$67$	−1.39008	+	0.625623i	−0.169825	+	0.0764320i	−0.493542	−	0.869722i	$-0.664298\pi$
$67$	−1.39008	+	0.625623i	−0.169825	+	0.0764320i	0.323717	+	0.946154i	$0.395067\pi$
$68$	−3.25317	+	0.395006i	−0.394505	+	0.0479016i
$69$	−0.761389	−	1.86805i	−0.0916604	−	0.224887i
$70$	−6.12495	−	6.12495i	−0.732071	−	0.732071i
$71$	−0.979798	+	3.14428i	−0.116281	+	0.373158i	−0.994452	−	0.105188i	$-0.966456\pi$
$71$	−0.979798	+	3.14428i	−0.116281	+	0.373158i	0.878172	+	0.478345i	$0.158763\pi$
$72$	8.94142	+	2.31176i	1.05376	+	0.272443i
$73$	4.88695	+	0.895566i	0.571974	+	0.104818i	0.458455	−	0.888718i	$-0.348403\pi$
$73$	4.88695	+	0.895566i	0.571974	+	0.104818i	0.113519	+	0.993536i	$0.463788\pi$
$74$	−4.88133	+	5.50988i	−0.567443	+	0.640510i
$75$	6.67728	+	11.9976i	0.771026	+	1.38537i
$76$	−2.15884	−	0.971613i	−0.247636	−	0.111452i
$77$	4.30700	+	11.3566i	0.490829	+	1.29421i
$78$	0.256766	−	7.11601i	0.0290730	−	0.805729i
$79$	−0.313705	+	0.827171i	−0.0352945	+	0.0930640i	−0.951505	−	0.307633i	$-0.900463\pi$
$79$	−0.313705	+	0.827171i	−0.0352945	+	0.0930640i	0.916210	+	0.400698i	$0.131232\pi$
$80$	5.36518	−	5.36518i	0.599846	−	0.599846i
$81$	0.204168	−	8.99768i	0.0226854	−	0.999743i
$82$	11.5094	+	1.39750i	1.27100	+	0.154328i
$83$	−17.0563	+	5.31495i	−1.87217	+	0.583392i	−0.877591	+	0.479409i	$0.840851\pi$
$83$	−17.0563	+	5.31495i	−1.87217	+	0.583392i	−0.994579	+	0.103983i	$0.966841\pi$
$84$	−2.46339	−	0.701804i	−0.268778	−	0.0765731i
$85$	16.5586	+	3.03448i	1.79603	+	0.329136i
$86$	1.75206	+	5.62257i	0.188930	+	0.606297i
$87$	−1.67258	+	7.58186i	−0.179319	+	0.812860i
$88$	−16.5466	+	6.27531i	−1.76388	+	0.668950i
$89$	11.8116	+	11.8116i	1.25202	+	1.25202i	0.954811	+	0.297213i	$0.0960570\pi$
$89$	11.8116	+	11.8116i	1.25202	+	1.25202i	0.297213	+	0.954811i	$0.403943\pi$
$90$	−10.4522	−	6.48161i	−1.10176	−	0.683222i
$91$	−0.461399	+	7.60413i	−0.0483677	+	0.797130i
$92$	−0.762190	+	0.289061i	−0.0794638	+	0.0301366i
$93$	5.43370	+	3.10537i	0.563448	+	0.322012i
$94$	−2.42043	−	3.50660i	−0.249648	−	0.361678i
$95$	9.10296	+	8.06452i	0.933944	+	0.827402i
$96$	1.77998	−	6.24790i	0.181669	−	0.637674i
$97$	−9.84564	−	0.595552i	−0.999674	−	0.0604691i	−0.447574	−	0.894247i	$-0.647712\pi$
$97$	−9.84564	−	0.595552i	−0.999674	−	0.0604691i	−0.552100	+	0.833778i	$0.686173\pi$
$98$	2.76035	+	0.860158i	0.278837	+	0.0868891i
$99$	9.63494	+	14.3030i	0.968348	+	1.43750i
$100$	4.91291	−	2.57849i	0.491291	−	0.257849i
$101$	−2.32591	−	19.1556i	−0.231437	−	1.90606i	−0.393583	−	0.919289i	$-0.628765\pi$
$101$	−2.32591	−	19.1556i	−0.231437	−	1.90606i	0.162146	−	0.986767i	$-0.448158\pi$
$102$	−8.75792	+	2.96669i	−0.867163	+	0.293746i
$103$	−4.10560	−	7.82256i	−0.404536	−	0.770780i	0.594919	−	0.803786i	$-0.297184\pi$
$103$	−4.10560	−	7.82256i	−0.404536	−	0.770780i	−0.999455	+	0.0330061i	$0.989492\pi$
$104$	−11.0792	−	0.672258i	−1.08641	−	0.0659204i
$105$	11.0090	+	7.20671i	1.07437	+	0.703303i
$106$	−8.35553	−	0.505416i	−0.811561	−	0.0490904i
$107$	10.3875	−	11.7251i	1.00420	−	1.13351i	0.0131634	−	0.999913i	$-0.495810\pi$
$107$	10.3875	−	11.7251i	1.00420	−	1.13351i	0.991036	−	0.133594i	$-0.0426517\pi$
$108$	−3.63279	−	0.171679i	−0.349566	−	0.0165199i
$109$	11.3289	−	14.4602i	1.08511	−	1.38504i	0.168288	−	0.985738i	$-0.446176\pi$
$109$	11.3289	−	14.4602i	1.08511	−	1.38504i	0.916820	−	0.399300i	$-0.130747\pi$
$110$	23.5236	−	1.42291i	2.24288	−	0.135669i
$111$	5.54834	−	9.70836i	0.526626	−	0.921476i
$112$	1.32651	−	4.25693i	0.125344	−	0.402242i
$113$	4.23781	−	8.07448i	0.398660	−	0.759583i	−0.600539	−	0.799595i	$-0.705047\pi$
$113$	4.23781	−	8.07448i	0.398660	−	0.759583i	0.999199	+	0.0400123i	$0.0127397\pi$
$114$	−6.52316	−	1.43903i	−0.610950	−	0.134777i
$115$	4.17987	−	0.252836i	0.389775	−	0.0235770i
$116$	3.04628	+	0.750840i	0.282840	+	0.0697138i
$117$	1.82694	+	10.6613i	0.168901	+	0.985633i
$118$	5.38151	−	1.32642i	0.495408	−	0.122107i
$119$	9.44483	−	2.94313i	0.865806	−	0.269796i
$120$	−10.5002	+	16.0401i	−0.958531	+	1.46425i
$121$	−20.6127	−	7.81736i	−1.87388	−	0.710669i
$122$	1.34968	+	2.99887i	0.122194	+	0.271505i
$123$	−17.5484	+	1.49435i	−1.58228	+	0.134741i
$124$	1.30835	−	2.16428i	0.117493	−	0.194358i
$125$	−10.3528	+	1.89723i	−0.925985	+	0.169693i
$126$	−7.20883	−	0.518187i	−0.642213	−	0.0461638i
$127$	5.01795	+	1.90306i	0.445271	+	0.168869i	0.567042	−	0.823689i	$-0.308088\pi$
$127$	5.01795	+	1.90306i	0.445271	+	0.168869i	−0.121770	+	0.992558i	$0.538857\pi$
$128$	2.08816	+	0.650696i	0.184569	+	0.0575140i
$129$	−4.35054	−	7.81698i	−0.383043	−	0.688246i
$130$	13.8198	+	5.24412i	1.21208	+	0.459940i
$131$	14.3010	+	9.87126i	1.24948	+	0.862456i	0.994525	−	0.104497i	$-0.0333232\pi$
$131$	14.3010	+	9.87126i	1.24948	+	0.862456i	0.254957	+	0.966952i	$0.417939\pi$
$132$	5.87353	−	3.75045i	0.511225	−	0.326435i
$133$	6.93903	+	1.71032i	0.601690	+	0.148303i
$134$	0.987361	+	1.43044i	0.0852950	+	0.123571i
$135$	17.5544	+	6.39392i	1.51084	+	0.550301i
$136$	4.28814	+	13.7611i	0.367705	+	1.18001i
$137$	−0.805640	+	1.02832i	−0.0688305	+	0.0878556i	−0.820372	−	0.571830i	$-0.806234\pi$
$137$	−0.805640	+	1.02832i	−0.0688305	+	0.0878556i	0.751542	+	0.659686i	$0.229311\pi$
$138$	−1.93860	+	1.23787i	−0.165025	+	0.105374i
$139$	10.0989	−	8.94688i	0.856581	−	0.758865i	−0.115550	−	0.993302i	$-0.536863\pi$
$139$	10.0989	−	8.94688i	0.856581	−	0.758865i	0.972131	+	0.234437i	$0.0753246\pi$
$140$	3.02045	−	4.37588i	0.255275	−	0.369829i
$141$	4.68762	+	4.46306i	0.394769	+	0.375857i
$142$	3.72781	+	0.452638i	0.312831	+	0.0379845i
$143$	−14.6531	−	14.6586i	−1.22535	−	1.22581i
$144$	0.453909	−	6.31461i	0.0378257	−	0.526218i
$145$	−13.7928	−	8.33802i	−1.14543	−	0.692435i
$146$		−	5.66496i		−	0.468835i
$147$	−4.37164	−	0.422272i	−0.360567	−	0.0348284i
$148$	−3.86690	−	2.33762i	−0.317857	−	0.192152i
$149$	0.878817	+	1.95265i	0.0719955	+	0.159967i	0.944383	−	0.328847i	$-0.106660\pi$
$149$	0.878817	+	1.95265i	0.0719955	+	0.159967i	−0.872388	+	0.488815i	$0.837429\pi$
$150$	12.0834	−	9.95468i	0.986607	−	0.812796i
$151$	−7.21987	−	3.24940i	−0.587545	−	0.264432i	0.0947601	−	0.995500i	$-0.469792\pi$
$151$	−7.21987	−	3.24940i	−0.587545	−	0.264432i	−0.682305	+	0.731068i	$0.739022\pi$
$152$	−2.49193	+	10.1102i	−0.202123	+	0.820044i
$153$	12.1022	−	7.12988i	0.978409	−	0.576417i
$154$	11.8517	−	7.16459i	0.955035	−	0.577339i
$155$	−9.72435	+	8.61502i	−0.781078	+	0.691975i
$156$	4.32496	−	0.632340i	0.346274	−	0.0506277i
$157$	−0.502197	−	0.444908i	−0.0400797	−	0.0355075i	0.642845	−	0.765996i	$-0.277754\pi$
$157$	−0.502197	−	0.444908i	−0.0400797	−	0.0355075i	−0.682925	+	0.730489i	$0.739292\pi$
$158$	0.992179	+	0.181824i	0.0789335	+	0.0144651i
$159$	12.5816	−	1.84193i	0.997787	−	0.146075i
$160$	11.0985	+	7.66076i	0.877416	+	0.605636i
$161$	2.10591	−	1.27307i	0.165969	−	0.100332i
$162$	−10.1332	+	1.62031i	−0.796140	+	0.127303i
$163$	7.35852	+	9.39246i	0.576364	+	0.735674i	0.984137	−	0.177409i	$-0.0567715\pi$
$163$	7.35852	+	9.39246i	0.576364	+	0.735674i	−0.407773	+	0.913083i	$0.633695\pi$
$164$	0.429705	+	7.10386i	0.0335543	+	0.554719i
$165$	−34.5380	+	9.41742i	−2.68878	+	0.733145i
$166$	9.46649	+	18.0369i	0.734742	+	1.39993i
$167$	21.8714	−	4.00808i	1.69246	−	0.310154i	0.754343	−	0.656480i	$-0.227955\pi$
$167$	21.8714	−	4.00808i	1.69246	−	0.310154i	0.938114	+	0.346326i	$0.112571\pi$
$168$	−1.08319	+	11.2139i	−0.0835697	+	0.865170i
$169$	−4.60530	−	12.1569i	−0.354254	−	0.935149i
$170$		−	19.1948i		−	1.47217i
$171$	10.1467	+	0.115105i	0.775934	+	0.00880231i
$172$	−3.20097	+	1.68000i	−0.244072	+	0.128099i
$173$	−0.314699	−	0.829794i	−0.0239262	−	0.0630881i	0.922521	−	0.385947i	$-0.126125\pi$
$173$	−0.314699	−	0.829794i	−0.0239262	−	0.0630881i	−0.946447	+	0.322859i	$0.895356\pi$
$174$	8.84710	+	0.317565i	0.670697	+	0.0240746i
$175$	−13.1850	+	10.3298i	−0.996694	+	0.780860i
$176$	6.27586	+	10.3815i	0.473061	+	0.782538i
$177$	−7.59063	+	3.64278i	−0.570547	+	0.273808i
$178$	10.8195	−	15.6747i	0.810955	−	1.17487i
$179$	9.31329	−	2.29552i	0.696108	−	0.171575i	0.124643	−	0.992202i	$-0.460221\pi$
$179$	9.31329	−	2.29552i	0.696108	−	0.171575i	0.571465	+	0.820627i	$0.306375\pi$
$180$	2.75700	−	7.02810i	0.205494	−	0.523844i
$181$	−9.73858	+	10.9926i	−0.723863	+	0.817072i	−0.989121	−	0.147105i	$-0.953004\pi$
$181$	−9.73858	+	10.9926i	−0.723863	+	0.817072i	0.265258	+	0.964178i	$0.414543\pi$
$182$	8.62315	−	1.04540i	0.639190	−	0.0774899i
$183$	−2.93781	−	4.04041i	−0.217169	−	0.298675i
$184$	1.85486	+	3.06831i	0.136742	+	0.226199i
$185$	15.3924	+	17.3744i	1.13167	+	1.27739i
$186$	2.36600	−	6.73234i	0.173484	−	0.493639i
$187$	−11.0463	+	24.5439i	−0.807787	+	1.79483i
$188$	1.84942	−	1.84942i	0.134883	−	0.134883i
$189$	10.8804	−	1.46702i	0.791434	−	0.106710i
$190$	7.17373	−	11.8668i	0.520437	−	0.860908i
$191$		−	6.81935i		−	0.493431i	−0.969088	−	0.246715i	$-0.920649\pi$
$191$		−	6.81935i		−	0.493431i	0.969088	−	0.246715i	$-0.0793513\pi$
$192$	−14.6495	−	1.41505i	−1.05724	−	0.102122i
$193$	2.27002	−	3.75508i	0.163400	−	0.270297i	−0.763342	−	0.645994i	$-0.776443\pi$
$193$	2.27002	−	3.75508i	0.163400	−	0.270297i	0.926742	+	0.375698i	$0.122597\pi$
$194$	1.35564	+	11.1647i	0.0973289	+	0.801576i
$195$	−22.1779	−	3.50849i	−1.58819	−	0.251248i
$196$	−0.213926	+	1.76184i	−0.0152804	+	0.125845i
$197$	−17.0631	−	13.3681i	−1.21570	−	0.952439i	−0.215985	−	0.976397i	$-0.569296\pi$
$197$	−17.0631	−	13.3681i	−1.21570	−	0.952439i	−0.999713	+	0.0239577i	$0.992373\pi$
$198$	14.0611	−	13.7456i	0.999277	−	0.976859i
$199$	0.820320	+	0.925950i	0.0581510	+	0.0656389i	0.776866	−	0.629665i	$-0.216808\pi$
$199$	0.820320	+	0.925950i	0.0581510	+	0.0656389i	−0.718715	+	0.695304i	$0.755270\pi$
$200$	−15.0505	−	19.2106i	−1.06423	−	1.35839i
$201$	−1.91221	−	1.82061i	−0.134877	−	0.128416i
$202$	−21.0057	+	6.54564i	−1.47796	+	0.460550i
$203$	−9.45402	−	0.571863i	−0.663542	−	0.0401369i
$204$	−2.76030	−	4.95966i	−0.193259	−	0.347246i
$205$	8.74925	−	35.4971i	0.611074	−	2.47923i
$206$	−7.92947	+	6.21235i	−0.552473	+	0.432835i
$207$	2.49849	−	2.44244i	0.173657	−	0.169762i
$208$	0.915721	+	7.55350i	0.0634938	+	0.523741i
$209$	−16.0020	+	11.0454i	−1.10688	+	0.764027i
$210$	5.81992	−	13.8282i	0.401613	−	0.954235i
$211$	0.878588	−	2.31665i	0.0604845	−	0.159485i	−0.901367	−	0.433055i	$-0.857436\pi$
$211$	0.878588	−	2.31665i	0.0604845	−	0.159485i	0.961852	+	0.273571i	$0.0882047\pi$
$212$	−0.619359	−	5.10088i	−0.0425378	−	0.350330i
$213$	−5.68377	+	0.484007i	−0.389446	+	0.0331636i
$214$	−15.2851	−	9.24014i	−1.04487	−	0.631643i
$215$	18.2665	−	3.34745i	1.24576	−	0.228294i
$216$	2.13745	+	15.8528i	0.145435	+	1.07865i
$217$	−2.70725	+	7.13843i	−0.183780	+	0.484588i
$218$	−18.5461	−	9.73374i	−1.25610	−	0.659252i
$219$	1.75836	+	8.42384i	0.118819	+	0.569230i
$220$	3.46197	+	14.0458i	0.233406	+	0.946966i
$221$	−12.6382	+	11.1922i	−0.850135	+	0.752869i
$222$	−12.0286	−	4.22732i	−0.807309	−	0.283719i
$223$	−0.442327	−	7.31254i	−0.0296204	−	0.489684i	−0.982491	−	0.186308i	$-0.940348\pi$
$223$	−0.442327	−	7.31254i	−0.0296204	−	0.489684i	0.952871	−	0.303376i	$-0.0981138\pi$
$224$	7.86714	+	0.955244i	0.525646	+	0.0638249i
$225$	−14.8783	+	18.5533i	−0.991885	+	1.23689i
$226$	−9.92682	−	3.09332i	−0.660323	−	0.205765i
$227$	−10.7552	−	4.84052i	−0.713847	−	0.321277i	0.0207456	−	0.999785i	$-0.493396\pi$
$227$	−10.7552	−	4.84052i	−0.713847	−	0.321277i	−0.734593	+	0.678508i	$0.762627\pi$
$228$	0.147091	−	4.09783i	0.00974133	−	0.271385i
$229$	−3.05981	−	2.39721i	−0.202198	−	0.158412i	0.510512	−	0.859870i	$-0.329456\pi$
$229$	−3.05981	−	2.39721i	−0.202198	−	0.158412i	−0.712710	+	0.701458i	$0.752533\pi$
$230$	−1.14265	−	4.63592i	−0.0753442	−	0.305683i
$231$	−15.3997	+	14.3325i	−1.01323	+	0.943007i
$232$	0.833205	−	13.7745i	0.0547026	−	0.904341i
$233$	−1.39673	−	0.733061i	−0.0915029	−	0.0480245i	0.418351	−	0.908285i	$-0.362608\pi$
$233$	−1.39673	−	0.733061i	−0.0915029	−	0.0480245i	−0.509854	+	0.860261i	$0.670301\pi$
$234$	11.5815	−	4.24018i	0.757107	−	0.277189i
$235$	−11.8968	+	6.24392i	−0.776062	+	0.407309i
$236$	1.39633	+	3.10252i	0.0908934	+	0.201957i
$237$	−1.53181	+	0.0375918i	−0.0995020	+	0.00244185i
$238$	−5.24202	−	9.98783i	−0.339790	−	0.647415i
$239$	5.12966	−	5.12966i	0.331810	−	0.331810i	−0.521464	−	0.853274i	$-0.674614\pi$
$239$	5.12966	−	5.12966i	0.331810	−	0.331810i	0.853274	+	0.521464i	$0.174614\pi$
$240$	12.1129	+	5.09799i	0.781882	+	0.329074i
$241$	0.880878	−	14.5626i	0.0567423	−	0.938062i	−0.852744	−	0.522329i	$-0.825063\pi$
$241$	0.880878	−	14.5626i	0.0567423	−	0.938062i	0.909486	−	0.415734i	$-0.136475\pi$
$242$	−4.53095	+	24.7246i	−0.291260	+	1.58936i
$243$	14.5652	−	5.55468i	0.934359	−	0.356333i
$244$	−1.66134	+	1.14674i	−0.106356	+	0.0734124i
$245$	3.74176	−	8.31386i	0.239053	−	0.531153i
$246$	5.28267	+	19.3740i	0.336811	+	1.23524i
$247$	−11.9962	+	2.19606i	−0.763299	+	0.139732i
$248$	−10.4007	−	3.94446i	−0.660445	−	0.250474i
$249$	−19.6752	−	23.8827i	−1.24687	−	1.51350i
$250$	4.25562	+	11.2211i	0.269149	+	0.709688i
$251$	−1.61856	+	13.3300i	−0.102163	+	0.841385i	0.848079	+	0.529870i	$0.177759\pi$
$251$	−1.61856	+	13.3300i	−0.102163	+	0.841385i	−0.950241	+	0.311514i	$0.899164\pi$
$252$	−0.484768	−	4.40993i	−0.0305375	−	0.277800i
$253$	−1.20682	+	6.58541i	−0.0758722	+	0.414021i
$254$	1.10301	−	6.01896i	0.0692093	−	0.377663i
$255$	5.95792	+	28.5428i	0.373099	+	1.78742i
$256$	−1.74786	+	14.3949i	−0.109241	+	0.899684i
$257$	0.779133	+	2.05441i	0.0486010	+	0.128150i	0.957119	−	0.289696i	$-0.0935542\pi$
$257$	0.779133	+	2.05441i	0.0486010	+	0.128150i	−0.908518	+	0.417846i	$0.862785\pi$
$258$	−7.87287	+	6.48591i	−0.490144	+	0.403795i
$259$	12.7542	+	4.83702i	0.792506	+	0.300558i
$260$	−1.63720	+	8.92446i	−0.101535	+	0.553472i
$261$	−13.2543	+	2.27385i	−0.820419	+	0.140748i
$262$	8.13171	−	18.0679i	0.502379	−	1.11624i
$263$	−6.81544	+	4.70436i	−0.420258	+	0.290083i	−0.759365	−	0.650665i	$-0.774490\pi$
$263$	−6.81544	+	4.70436i	−0.420258	+	0.290083i	0.339107	+	0.940748i	$0.389875\pi$
$264$	−20.8824	−	22.4374i	−1.28522	−	1.38093i
$265$	−4.75798	+	25.9635i	−0.292281	+	1.59492i
$266$	0.492010	−	8.13390i	0.0301671	−	0.498721i
$267$	−11.2233	+	26.6668i	−0.686858	+	1.63198i
$268$	−0.754431	+	0.754431i	−0.0460842	+	0.0460842i
$269$	4.22304	+	8.04633i	0.257483	+	0.490593i	0.979542	−	0.201238i	$-0.0644965\pi$
$269$	4.22304	+	8.04633i	0.257483	+	0.490593i	−0.722059	+	0.691831i	$0.756804\pi$
$270$	3.56308	−	21.0020i	0.216842	−	1.27814i
$271$	−3.51244	−	7.80433i	−0.213366	−	0.474079i	0.773870	−	0.633344i	$-0.218318\pi$
$271$	−3.51244	−	7.80433i	−0.213366	−	0.474079i	−0.987236	+	0.159265i	$0.949088\pi$
$272$	8.74890	−	4.59178i	0.530480	−	0.278417i
$273$	−12.4982	+	4.23107i	−0.756426	+	0.256076i
$274$	1.31889	+	0.692205i	0.0796768	+	0.0418176i
$275$	2.75148	−	45.4873i	0.165920	−	2.74299i
$276$	−0.961910	−	1.03354i	−0.0579002	−	0.0622116i
$277$	1.93380	+	7.84574i	0.116191	+	0.471405i	0.999994	+	0.00354521i	$0.00112848\pi$
$277$	1.93380	+	7.84574i	0.116191	+	0.471405i	−0.883803	+	0.467859i	$0.845025\pi$
$278$	−12.1099	−	9.48750i	−0.726303	−	0.569022i
$279$	−1.42860	+	10.7454i	−0.0855279	+	0.643312i
$280$	−21.3262	−	9.59816i	−1.27449	−	0.573600i
$281$	−11.9584	−	3.72638i	−0.713377	−	0.222297i	−0.0807284	−	0.996736i	$-0.525725\pi$
$281$	−11.9584	−	3.72638i	−0.713377	−	0.222297i	−0.632649	+	0.774439i	$0.718032\pi$
$282$	4.04204	−	6.17463i	0.240700	−	0.367694i
$283$	23.6233	+	2.86839i	1.40426	+	0.170508i	0.787341	−	0.616517i	$-0.211457\pi$
$283$	23.6233	+	2.86839i	1.40426	+	0.170508i	0.616920	+	0.787026i	$0.288380\pi$
$284$	0.139178	+	2.30089i	0.00825869	+	0.136532i
$285$	−6.98403	+	19.8727i	−0.413698	+	1.17716i
$286$	−13.4285	+	19.4468i	−0.794046	+	1.14991i
$287$	−5.14152	−	20.8600i	−0.303494	−	1.23133i
$288$	11.1849	−	1.22952i	0.659077	−	0.0724499i
$289$	4.35837	+	2.28745i	0.256375	+	0.134556i
$290$	−6.51658	+	17.1828i	−0.382667	+	1.00901i
$291$	−5.48127	−	16.1812i	−0.321318	−	0.948556i
$292$	3.42043	−	0.626817i	0.200165	−	0.0366817i
$293$	−1.58999	−	0.961185i	−0.0928884	−	0.0561530i	0.470131	−	0.882597i	$-0.344207\pi$
$293$	−1.58999	−	0.961185i	−0.0928884	−	0.0561530i	−0.563020	+	0.826444i	$0.690360\pi$
$294$	0.424907	+	4.98975i	0.0247811	+	0.291008i
$295$	−2.10668	−	17.3501i	−0.122656	−	1.01016i
$296$	−7.04755	+	18.5829i	−0.409631	+	1.08011i
$297$	−16.6424	+	24.8043i	−0.965689	+	1.43929i
$298$	2.00935	−	1.38695i	0.116399	−	0.0803441i
$299$	−2.38610	+	3.45547i	−0.137992	+	0.199835i
$300$	7.34752	+	6.19435i	0.424209	+	0.357631i
$301$	8.59061	−	6.73031i	0.495154	−	0.387929i
$302$	−2.16043	+	8.76520i	−0.124319	+	0.504381i
$303$	29.2039	−	16.2534i	1.67772	−	0.933735i
$304$	7.12494	+	0.430979i	0.408643	+	0.0247184i
$305$	9.90045	−	3.08510i	0.566898	−	0.176653i
$306$	−10.4838	−	12.1077i	−0.599319	−	0.692153i
$307$	−2.73970	−	3.49696i	−0.156363	−	0.199582i	0.702651	−	0.711534i	$-0.251999\pi$
$307$	−2.73970	−	3.49696i	−0.156363	−	0.199582i	−0.859014	+	0.511952i	$0.828922\pi$
$308$	5.63725	+	6.36314i	0.321212	+	0.362574i
$309$	9.86292	−	11.6991i	0.561082	−	0.665536i
$310$	11.6607	+	9.13558i	0.662284	+	0.518866i
$311$	−2.05349	+	16.9120i	−0.116443	+	0.958990i	0.811006	+	0.585038i	$0.198921\pi$
$311$	−2.05349	+	16.9120i	−0.116443	+	0.958990i	−0.927448	+	0.373952i	$0.878003\pi$
$312$	−6.16468	−	18.2099i	−0.349006	−	1.03093i
$313$	1.84968	+	15.2335i	0.104550	+	0.861048i	0.946769	+	0.321913i	$0.104326\pi$
$313$	1.84968	+	15.2335i	0.104550	+	0.861048i	−0.842219	+	0.539135i	$0.818751\pi$
$314$	−0.395765	+	0.654675i	−0.0223343	+	0.0369454i
$315$	−4.36211	+	22.3691i	−0.245777	+	1.26035i
$316$			0.619183i			0.0348318i
$317$	−2.63730	+	4.36263i	−0.148126	+	0.245030i	−0.921029	−	0.389494i	$-0.872650\pi$
$317$	−2.63730	+	4.36263i	−0.148126	+	0.245030i	0.772903	+	0.634524i	$0.218804\pi$
$318$	−4.65169	−	13.7322i	−0.260854	−	0.770062i
$319$	18.2210	−	18.2210i	1.02018	−	1.02018i
$320$	12.5388	−	27.8600i	0.700939	−	1.55742i
$321$	25.5971	+	8.99580i	1.42869	+	0.502096i
$322$	−1.86062	−	2.10020i	−0.103688	−	0.117040i
$323$	8.19305	+	13.5530i	0.455874	+	0.754107i
$324$	−2.09954	−	5.93901i	−0.116641	−	0.329945i
$325$	13.2877	−	25.3061i	0.737069	−	1.40373i
$326$	9.02160	−	10.1833i	0.499660	−	0.564000i
$327$	30.5995	+	8.71758i	1.69215	+	0.482083i
$328$	30.3930	−	7.49121i	1.67817	−	0.413633i
$329$	−4.48520	+	6.49794i	−0.247277	+	0.358243i
$330$	17.6606	+	36.8002i	0.972182	+	2.02578i
$331$	−13.4213	−	22.2015i	−0.737701	−	1.22031i	−0.968913	−	0.247404i	$-0.920423\pi$
$331$	−13.4213	−	22.2015i	−0.737701	−	1.22031i	0.231211	−	0.972904i	$-0.425731\pi$
$332$	−9.84299	+	7.71149i	−0.540204	+	0.423223i
$333$	19.1988	+	2.55247i	1.05209	+	0.139874i
$334$	−8.99042	−	23.7058i	−0.491934	−	1.29712i
$335$	4.85304	−	2.54707i	0.265150	−	0.139161i
$336$	7.69506	−	0.655280i	0.419800	−	0.0357485i
$337$			3.05780i			0.166569i	0.996526	+	0.0832844i	$0.0265410\pi$
$337$			3.05780i			0.166569i	−0.996526	+	0.0832844i	$0.973459\pi$
$338$	−12.6879	+	7.66362i	−0.690133	+	0.416846i
$339$	15.7214	+	1.51858i	0.853870	+	0.0824782i
$340$	11.5896	−	2.12387i	0.628533	−	0.115183i
$341$	−9.65287	−	18.3920i	−0.522732	−	0.995983i
$342$	−1.95634	−	11.4035i	−0.105787	−	0.616631i
$343$	−1.21650	−	20.1111i	−0.0656847	−	1.08590i
$344$	9.80608	+	12.5165i	0.528708	+	0.674846i
$345$	3.13808	+	6.53897i	0.168949	+	0.352047i
$346$	−0.865965	+	0.523494i	−0.0465546	+	0.0281432i
$347$	−27.0627	−	18.6801i	−1.45280	−	1.00280i	−0.993416	−	0.114563i	$-0.963453\pi$
$347$	−27.0627	−	18.6801i	−1.45280	−	1.00280i	−0.459388	−	0.888236i	$-0.651931\pi$
$348$	0.787173	+	5.37690i	0.0421969	+	0.288232i
$349$	2.04947	+	0.375580i	0.109706	+	0.0201043i	0.234827	−	0.972037i	$-0.424548\pi$
$349$	2.04947	+	0.375580i	0.109706	+	0.0201043i	−0.125122	+	0.992141i	$0.539932\pi$
$350$	14.2952	+	12.6644i	0.764109	+	0.676941i
$351$	−15.9057	+	9.89999i	−0.848981	+	0.528423i
$352$	−16.1388	+	14.2977i	−0.860202	+	0.762073i
$353$	−20.5736	+	12.4371i	−1.09502	+	0.661963i	−0.945115	−	0.326738i	$-0.894051\pi$
$353$	−20.5736	+	12.4371i	−1.09502	+	0.661963i	−0.149905	+	0.988700i	$0.547897\pi$
$354$	5.64561	+	7.76448i	0.300061	+	0.412677i
$355$	2.83381	−	11.4972i	0.150403	−	0.610210i
$356$	10.6614	+	4.79829i	0.565051	+	0.254309i
$357$	10.8951	+	13.2249i	0.576628	+	0.699936i
$358$	−4.48866	−	9.97340i	−0.237233	−	0.527111i
$359$	−27.1686	−	16.4240i	−1.43391	−	0.866826i	−0.434479	−	0.900682i	$-0.643067\pi$
$359$	−27.1686	−	16.4240i	−1.43391	−	0.866826i	−0.999427	+	0.0338559i	$0.989221\pi$
$360$	−32.5918	−	6.35560i	−1.71774	−	0.334970i
$361$		−	7.55913i		−	0.397849i
$362$	14.3302	+	8.66288i	0.753177	+	0.455311i
$363$	−0.936769	−	38.1720i	−0.0491676	−	2.00351i
$364$	1.58533	+	5.09088i	0.0830940	+	0.266834i
$365$	−17.7332	−	2.15320i	−0.928198	−	0.112704i
$366$	−3.92766	+	4.12529i	−0.205302	+	0.215632i
$367$	5.76298	−	8.34912i	0.300825	−	0.435820i	−0.643198	−	0.765700i	$-0.722393\pi$
$367$	5.76298	−	8.34912i	0.300825	−	0.435820i	0.944023	+	0.329880i	$0.107008\pi$
$368$	1.83969	−	1.62982i	0.0959002	−	0.0849602i
$369$	−13.8689	−	27.1696i	−0.721987	−	1.41439i
$370$	16.3225	−	20.8341i	0.848565	−	1.08311i
$371$	4.61475	+	14.8092i	0.239586	+	0.768858i
$372$	4.32670	+	0.683642i	0.224329	+	0.0354452i
$373$	2.70427	+	3.91781i	0.140022	+	0.202857i	0.886721	−	0.462306i	$-0.152978\pi$
$373$	2.70427	+	3.91781i	0.140022	+	0.202857i	−0.746699	+	0.665162i	$0.768362\pi$
$374$	29.7972	+	7.34436i	1.54078	+	0.379768i
$375$	−9.81110	−	15.3650i	−0.506643	−	0.793446i
$376$	−9.46750	−	6.53495i	−0.488249	−	0.337014i
$377$	15.1132	−	5.72842i	0.778367	−	0.295029i
$378$	−3.88156	−	11.9013i	−0.199646	−	0.612136i
$379$	−4.53084	−	1.41187i	−0.232734	−	0.0725228i	0.178918	−	0.983864i	$-0.442740\pi$
$379$	−4.53084	−	1.41187i	−0.232734	−	0.0725228i	−0.411652	+	0.911341i	$0.635048\pi$
$380$	7.95878	+	3.01837i	0.408277	+	0.154839i
$381$	0.228047	+	9.29260i	0.0116832	+	0.476074i
$382$	−7.64815	+	1.40158i	−0.391314	+	0.0717109i
$383$	5.29084	−	8.75213i	0.270350	−	0.447213i	−0.690877	−	0.722972i	$-0.742775\pi$
$383$	5.29084	−	8.75213i	0.270350	−	0.447213i	0.961227	+	0.275759i	$0.0889293\pi$
$384$	0.321435	+	3.77467i	0.0164032	+	0.192625i
$385$	−17.9228	−	39.8229i	−0.913432	−	2.02956i
$386$	−4.67802	−	1.77414i	−0.238105	−	0.0903013i
$387$	9.69384	−	12.0883i	0.492766	−	0.614481i
$388$	−6.59108	+	2.05386i	−0.334611	+	0.104269i
$389$	23.0308	−	5.67657i	1.16771	−	0.287814i	0.392639	−	0.919693i	$-0.371562\pi$
$389$	23.0308	−	5.67657i	1.16771	−	0.287814i	0.775067	+	0.631879i	$0.217716\pi$
$390$	0.623295	+	25.5944i	0.0315618	+	1.29602i
$391$	5.29464	+	1.30501i	0.267761	+	0.0659972i
$392$	7.79190	−	0.471323i	0.393550	−	0.0238054i
$393$	−6.48377	+	29.3912i	−0.327063	+	1.48259i
$394$	−11.4859	+	21.8845i	−0.578650	+	1.10252i
$395$	0.946286	−	3.03674i	0.0476128	−	0.152795i
$396$	9.85526	+	6.96897i	0.495246	+	0.350204i
$397$	−28.6356	+	1.73214i	−1.43718	+	0.0869334i	−0.760497	−	0.649341i	$-0.775045\pi$
$397$	−28.6356	+	1.73214i	−1.43718	+	0.0869334i	−0.676683	+	0.736274i	$0.736583\pi$
$398$	0.869888	−	1.11033i	0.0436035	−	0.0556558i
$399$	1.79308	+	12.2479i	0.0897662	+	0.613161i
$400$	−11.0935	+	12.5219i	−0.554673	+	0.626096i
$401$	−18.5942	−	1.12474i	−0.928550	−	0.0561670i	−0.410825	−	0.911714i	$-0.634759\pi$
$401$	−18.5942	−	1.12474i	−0.928550	−	0.0561670i	−0.517725	+	0.855547i	$0.673221\pi$
$402$	−1.64886	+	2.51880i	−0.0822377	+	0.125627i
$403$	−0.784171	−	13.0044i	−0.0390623	−	0.647796i
$404$	−6.27642	−	11.9587i	−0.312263	−	0.594968i
$405$	1.22056	+	32.3362i	0.0606499	+	1.60680i
$406$	1.30171	+	10.7206i	0.0646029	+	0.532053i
$407$	−32.8609	+	17.2467i	−1.62885	+	0.854888i
$408$	−19.2687	+	15.8741i	−0.953943	+	0.785887i
$409$	16.6684	+	5.19410i	0.824202	+	0.256832i	0.680461	−	0.732784i	$-0.261779\pi$
$409$	16.6684	+	5.19410i	0.824202	+	0.256832i	0.143740	+	0.989615i	$0.454087\pi$
$410$	−41.6096	−	2.51691i	−2.05495	−	0.124302i
$411$	−2.17605	−	0.619941i	−0.107337	−	0.0305795i
$412$	−4.62832	−	4.10033i	−0.228021	−	0.202009i
$413$	−5.83443	−	8.45263i	−0.287093	−	0.415927i
$414$	−3.25281	−	2.30016i	−0.159867	−	0.113047i
$415$	60.0596	−	22.7776i	2.94821	−	1.11811i
$416$	−12.9120	+	4.02087i	−0.633062	+	0.197140i
$417$	20.9524	+	10.3492i	1.02604	+	0.506801i
$418$	15.6767	+	15.6767i	0.766774	+	0.766774i
$419$	23.1230	−	8.76941i	1.12963	−	0.428414i	0.282222	−	0.959349i	$-0.408929\pi$
$419$	23.1230	−	8.76941i	1.12963	−	0.428414i	0.847412	+	0.530935i	$0.178159\pi$
$420$	8.99324	+	1.98393i	0.438825	+	0.0968060i
$421$	7.97183	+	25.5825i	0.388523	+	1.24682i	0.917349	+	0.398085i	$0.130325\pi$
$421$	7.97183	+	25.5825i	0.388523	+	1.24682i	−0.528825	+	0.848731i	$0.677367\pi$
$422$	−2.77878	−	0.509231i	−0.135269	−	0.0247890i
$423$	−4.09399	+	10.4363i	−0.199056	+	0.507432i
$424$	−21.5771	+	6.72369i	−1.04788	+	0.326531i
$425$	−36.8462	−	4.47394i	−1.78730	−	0.217018i
$426$	1.71101	+	6.27509i	0.0828989	+	0.304029i
$427$	4.30908	−	4.30908i	0.208531	−	0.208531i
$428$	3.88782	−	10.2513i	0.187925	−	0.495517i
$429$	13.9322	−	33.0856i	0.672653	−	1.59739i
$430$	−7.50859	−	19.7985i	−0.362096	−	0.954769i
$431$	33.9196	+	15.2660i	1.63385	+	0.735335i	0.999295	−	0.0375447i	$-0.0119537\pi$
$431$	33.9196	+	15.2660i	1.63385	+	0.735335i	0.634553	+	0.772880i	$0.281184\pi$
$432$	10.4250	−	3.40007i	0.501573	−	0.163586i
$433$	−16.4153	+	18.5291i	−0.788870	+	0.890451i	−0.996135	−	0.0878343i	$-0.972005\pi$
$433$	−16.4153	+	18.5291i	−0.788870	+	0.890451i	0.207265	+	0.978285i	$0.433544\pi$
$434$	8.56243	+	1.56912i	0.411010	+	0.0753204i
$435$	4.35679	−	27.5737i	0.208892	−	1.32206i
$436$	3.82502	−	12.2749i	0.183185	−	0.587862i
$437$	2.78558	+	2.78558i	0.133252	+	0.133252i
$438$	9.08625	−	3.70341i	0.434158	−	0.176956i
$439$	19.7548	−	2.39867i	0.942846	−	0.114482i	0.365345	−	0.930872i	$-0.380951\pi$
$439$	19.7548	−	2.39867i	0.942846	−	0.114482i	0.577501	+	0.816390i	$0.304028\pi$
$440$	58.0220	−	26.1136i	2.76609	−	1.24492i
$441$	−2.18062	−	7.28791i	−0.103839	−	0.347043i
$442$	15.1500	+	11.8738i	0.720611	+	0.564781i
$443$	−1.25061	+	2.38283i	−0.0594181	+	0.113212i	−0.913354	−	0.407167i	$-0.866517\pi$
$443$	−1.25061	+	2.38283i	−0.0594181	+	0.113212i	0.853936	+	0.520378i	$0.174209\pi$
$444$	1.22146	−	7.73048i	0.0579678	−	0.366872i
$445$	−44.9548	−	39.8264i	−2.13106	−	1.88795i
$446$	−8.11038	+	1.99903i	−0.384037	+	0.0946567i
$447$	−2.55742	+	2.68610i	−0.120962	+	0.127048i
$448$	−1.08402	−	17.9210i	−0.0512152	−	0.846688i
$449$	0.440964	−	0.979781i	0.0208104	−	0.0462387i	−0.901202	−	0.433400i	$-0.857314\pi$
$449$	0.440964	−	0.979781i	0.0208104	−	0.0462387i	0.922012	+	0.387162i	$0.126544\pi$
$450$	23.8661	+	12.8733i	1.12506	+	0.606853i
$451$	51.7567	+	27.1640i	2.43713	+	1.27910i
$452$	0.769325	−	6.33596i	0.0361860	−	0.298018i
$453$	0.491921	−	13.7045i	0.0231125	−	0.643894i
$454$	−3.21832	+	13.0572i	−0.151043	+	0.612806i
$455$	0.00514415	−	27.3907i	0.000241162	−	1.28409i
$456$	−17.8452	+	2.61252i	−0.835678	+	0.122342i
$457$	8.22446	+	26.3932i	0.384724	+	1.23462i	0.920660	+	0.390365i	$0.127651\pi$
$457$	8.22446	+	26.3932i	0.384724	+	1.23462i	−0.535936	+	0.844258i	$0.680041\pi$
$458$	−2.05968	+	3.92439i	−0.0962424	+	0.183375i
$459$	19.3476	+	14.7502i	0.903070	+	0.688480i
$460$	2.67268	−	1.20287i	0.124614	−	0.0560843i
$461$	−7.60790	−	41.5150i	−0.354335	−	1.93354i	−0.358440	−	0.933553i	$-0.616691\pi$
$461$	−7.60790	−	41.5150i	−0.354335	−	1.93354i	0.00410440	−	0.999992i	$-0.498694\pi$
$462$	19.2395	+	14.3256i	0.895102	+	0.666487i
$463$	1.78393	+	9.73460i	0.0829063	+	0.452405i	0.998710	+	0.0507788i	$0.0161704\pi$
$463$	1.78393	+	9.73460i	0.0829063	+	0.452405i	−0.915804	+	0.401626i	$0.868445\pi$
$464$	−9.39074	+	1.14024i	−0.435954	+	0.0529344i
$465$	−20.1752	−	9.96528i	−0.935601	−	0.462129i
$466$	−0.535086	+	1.71715i	−0.0247874	+	0.0795456i
$467$	16.8967	+	24.4790i	0.781884	+	1.13275i	0.988034	+	0.154234i	$0.0492910\pi$
$467$	16.8967	+	24.4790i	0.781884	+	1.13275i	−0.206150	+	0.978520i	$0.566094\pi$
$468$	3.84164	+	6.52359i	0.177580	+	0.301553i
$469$	1.82964	−	2.65069i	0.0844849	−	0.122398i
$470$	9.44794	+	12.0594i	0.435801	+	0.556259i
$471$	0.385299	−	1.09635i	0.0177536	−	0.0505171i
$472$	12.3155	−	8.50077i	0.566866	−	0.391280i
$473$	−1.79271	+	29.6370i	−0.0824287	+	1.36271i
$474$	0.356993	+	1.71026i	0.0163972	+	0.0785549i
$475$	−21.1074	−	16.5366i	−0.968473	−	0.758750i
$476$	5.45051	−	4.27020i	0.249824	−	0.195724i
$477$	11.1795	+	18.9760i	0.511872	+	0.868851i
$478$	−6.80740	−	4.69881i	−0.311363	−	0.214918i
$479$	−3.82760	+	4.88557i	−0.174888	+	0.223227i	−0.866674	−	0.498874i	$-0.833747\pi$
$479$	−3.82760	+	4.88557i	−0.174888	+	0.223227i	0.691787	+	0.722102i	$0.256824\pi$
$480$	−5.03185	+	22.8095i	−0.229671	+	1.04111i
$481$	−23.2349	+	1.40107i	−1.05942	+	0.0638835i
$482$	−16.5136	+	2.00511i	−0.752174	+	0.0913304i
$483$	3.41864	+	2.54550i	0.155554	+	0.115824i
$484$	−15.4297			−0.701351
$485$	35.4644			1.61035
$486$	−9.22336	−	15.1938i	−0.418380	−	0.689204i
$487$	19.1230	−	8.60656i	0.866546	−	0.390001i	0.0721448	−	0.997394i	$-0.477016\pi$
$487$	19.1230	−	8.60656i	0.866546	−	0.390001i	0.794401	+	0.607394i	$0.207785\pi$
$488$	6.27833	+	6.27833i	0.284207	+	0.284207i
$489$	−10.2544	+	17.9429i	−0.463719	+	0.811404i
$490$	−10.0933	−	2.48779i	−0.455971	−	0.112387i
$491$	0.0271413	−	0.0240451i	0.00122487	−	0.00108514i	−0.662510	−	0.749053i	$-0.730509\pi$
$491$	0.0271413	−	0.0240451i	0.00122487	−	0.00108514i	0.663735	+	0.747968i	$0.268970\pi$
$492$	−11.1133	+	5.33330i	−0.501024	+	0.240444i
$493$	−13.9178	−	15.7099i	−0.626824	−	0.707538i
$494$	4.92853	+	13.0028i	0.221745	+	0.585025i
$495$	−37.6839	−	49.2404i	−1.69376	−	2.21319i
$496$	−1.37448	+	7.50031i	−0.0617161	+	0.336774i
$497$	−1.66530	−	6.75638i	−0.0746989	−	0.303065i
$498$	−22.7415	+	26.9751i	−1.01907	+	1.20878i
$499$	14.0079	+	23.1719i	0.627080	+	1.03732i	0.994242	+	0.107159i	$0.0341755\pi$
$499$	14.0079	+	23.1719i	0.627080	+	1.03732i	−0.367162	+	0.930157i	$0.619671\pi$
$500$	−6.30431	+	3.81109i	−0.281937	+	0.170437i
$501$	20.7269	+	32.4601i	0.926010	+	1.45021i
$502$	15.2828	−	0.924439i	0.682105	−	0.0412597i
$503$	1.14867	−	0.435632i	0.0512165	−	0.0194239i	−0.328864	−	0.944377i	$-0.606666\pi$
$503$	1.14867	−	0.435632i	0.0512165	−	0.0194239i	0.380080	+	0.924954i	$0.375896\pi$
$504$	−18.6945	+	5.59360i	−0.832720	+	0.249159i
$505$	12.5060	+	68.2428i	0.556508	+	3.03676i
$506$	7.63382			0.339365
$507$	16.4883	−	15.3341i	0.732273	−	0.681012i
$508$	3.75622			0.166655
$509$	−4.38130	−	23.9080i	−0.194198	−	1.05970i	−0.925812	−	0.377984i	$-0.876617\pi$
$509$	−4.38130	−	23.9080i	−0.194198	−	1.05970i	0.731614	−	0.681719i	$-0.238767\pi$
$510$	30.7873	−	12.5484i	1.36328	−	0.555653i
$511$	−9.81534	+	3.72247i	−0.434205	+	0.164672i
$512$	20.8701	−	1.26241i	0.922338	−	0.0557911i
$513$	6.44866	+	16.3499i	0.284715	+	0.721864i
$514$	2.14396	−	1.29607i	0.0945659	−	0.0571671i
$515$	16.4328	+	27.1831i	0.724115	+	1.19783i
$516$	−4.78723	−	4.03588i	−0.210746	−	0.177670i
$517$	−5.14084	−	20.8572i	−0.226094	−	0.917299i
$518$	2.80354	−	15.2984i	0.123181	−	0.672175i
$519$	1.12521	−	1.04723i	0.0493912	−	0.0459683i
$520$	39.9082	+	0.00749504i	1.75009	+	0.000328679i
$521$	−5.25754	−	5.93453i	−0.230337	−	0.259997i	0.621967	−	0.783043i	$-0.286334\pi$
$521$	−5.25754	−	5.93453i	−0.230337	−	0.259997i	−0.852304	+	0.523047i	$0.824795\pi$
$522$	5.27435	+	14.3978i	0.230852	+	0.630176i
$523$	6.68252	−	5.92019i	0.292206	−	0.258872i	−0.504265	−	0.863549i	$-0.668236\pi$
$523$	6.68252	−	5.92019i	0.292206	−	0.258872i	0.796471	+	0.604677i	$0.206698\pi$
$524$	11.8089	+	2.91064i	0.515876	+	0.127152i
$525$	−25.1880	−	14.3950i	−1.09929	−	0.628248i
$526$	6.67689	+	6.67689i	0.291126	+	0.291126i
$527$	−15.4275	+	6.94337i	−0.672034	+	0.302458i
$528$	−12.5486	+	16.8529i	−0.546107	+	0.733430i
$529$	−21.6436			−0.941024
$530$	30.0969			1.30733
$531$	−10.8051	−	9.79349i	−0.468902	−	0.425001i
$532$	4.96558	−	0.602931i	0.215285	−	0.0261404i
$533$	22.6047	+	28.8640i	0.979120	+	1.25024i
$534$	32.2145	+	7.10661i	1.39406	+	0.307533i
$535$	−34.7344	+	44.3352i	−1.50170	+	1.91678i
$536$	3.86206	+	2.66579i	0.166816	+	0.115144i
$537$	9.77035	+	13.4373i	0.421622	+	0.579861i
$538$	8.15630	−	6.39005i	0.351643	−	0.275495i
$539$	11.4744	+	8.98964i	0.494239	+	0.387211i
$540$	13.0750	−	0.172497i	0.562659	−	0.00742310i
$541$	−0.773058	+	12.7802i	−0.0332364	+	0.549463i	0.943005	+	0.332778i	$0.107986\pi$
$541$	−0.773058	+	12.7802i	−0.0332364	+	0.549463i	−0.976242	+	0.216685i	$0.930476\pi$
$542$	−8.03093	+	5.54335i	−0.344958	+	0.238107i
$543$	−23.9980	−	8.43380i	−1.02985	−	0.361929i
$544$	10.8305	+	13.8241i	0.464354	+	0.592704i
$545$	−37.5191	+	54.3557i	−1.60714	+	2.32834i
$546$	7.31405	+	13.1476i	0.313013	+	0.562665i
$547$	−12.3244	−	17.8549i	−0.526952	−	0.763421i	0.465633	−	0.884978i	$-0.345827\pi$
$547$	−12.3244	−	17.8549i	−0.526952	−	0.763421i	−0.992584	+	0.121557i	$0.961211\pi$
$548$	−0.272012	+	0.872917i	−0.0116198	+	0.0372892i
$549$	4.56000	−	7.35345i	0.194616	−	0.313837i
$550$	−51.5812	+	6.26310i	−2.19943	+	0.267059i
$551$	−2.73307	−	14.9139i	−0.116433	−	0.635352i
$552$	−3.70879	+	4.98097i	−0.157857	+	0.212004i
$553$	−0.336930	−	1.83857i	−0.0143277	−	0.0781838i
$554$	8.40183	−	3.78136i	0.356960	−	0.160655i
$555$	−17.8049	+	36.0468i	−0.755776	+	1.53010i
$556$	4.38849	−	8.36157i	0.186114	−	0.354610i
$557$	9.33042	+	29.9424i	0.395343	+	1.26870i	0.911179	+	0.412012i	$0.135174\pi$
$557$	9.33042	+	29.9424i	0.395343	+	1.26870i	−0.515836	+	0.856687i	$0.672519\pi$
$558$	12.3450	−	0.606277i	0.522607	−	0.0256657i
$559$	−8.65752	+	16.4880i	−0.366174	+	0.697368i
$560$	−3.83660	+	15.5657i	−0.162126	+	0.657771i
$561$	−46.5884	−	1.67228i	−1.96696	−	0.0706038i
$562$	−1.72148	+	14.1777i	−0.0726162	+	0.598048i
$563$	21.8211	+	11.4526i	0.919648	+	0.482669i	0.856971	−	0.515365i	$-0.172344\pi$
$563$	21.8211	+	11.4526i	0.919648	+	0.482669i	0.0626776	+	0.998034i	$0.480036\pi$
$564$	4.17541	+	1.75732i	0.175816	+	0.0739966i
$565$	−13.4562	+	29.8985i	−0.566108	+	1.25784i
$566$	−1.63828	−	27.0840i	−0.0688620	−	1.13843i
$567$	9.46598	+	16.4925i	0.397534	+	0.692620i
$568$	9.84406	−	2.42634i	0.413048	−	0.101807i
$569$	−23.4698	−	20.7924i	−0.983904	−	0.871663i	0.00783040	−	0.999969i	$-0.497507\pi$
$569$	−23.4698	−	20.7924i	−0.983904	−	0.871663i	−0.991735	+	0.128306i	$0.959046\pi$
$570$	23.7234	+	3.74843i	0.993664	+	0.157004i
$571$	3.84360	−	7.32337i	0.160850	−	0.306473i	−0.791671	−	0.610948i	$-0.790789\pi$
$571$	3.84360	−	7.32337i	0.160850	−	0.306473i	0.952520	+	0.304474i	$0.0984808\pi$
$572$	−13.2276	−	5.95623i	−0.553072	−	0.249042i
$573$	10.9378	−	4.45808i	0.456934	−	0.186239i
$574$	−22.3385	+	10.0537i	−0.932392	+	0.419635i
$575$	−9.16541	+	1.11288i	−0.382224	+	0.0464104i
$576$	−7.30733	−	24.4220i	−0.304472	−	1.01758i
$577$	−25.8598	−	25.8598i	−1.07656	−	1.07656i	−0.996816	−	0.0797405i	$-0.974591\pi$
$577$	−25.8598	−	25.8598i	−1.07656	−	1.07656i	−0.0797405	−	0.996816i	$-0.525409\pi$
$578$	1.66969	−	5.35822i	0.0694499	−	0.222873i
$579$	7.50693	+	1.18614i	0.311977	+	0.0492941i
$580$	−11.0958	−	2.03338i	−0.460728	−	0.0844316i
$581$	25.0310	−	28.2541i	1.03846	−	1.17218i
$582$	−17.0212	+	9.47315i	−0.705552	+	0.392675i
$583$	−38.4842	−	17.3203i	−1.59385	−	0.717334i
$584$	−5.42364	−	14.3010i	−0.224432	−	0.591778i
$585$	−8.87115	−	37.8656i	−0.366777	−	1.56555i
$586$	−0.751214	+	1.98079i	−0.0310324	+	0.0818257i
$587$	−14.2676	+	14.2676i	−0.588887	+	0.588887i	−0.937330	−	0.348443i	$-0.886711\pi$
$587$	−14.2676	+	14.2676i	−0.588887	+	0.588887i	0.348443	+	0.937330i	$0.386711\pi$
$588$	−2.96573	+	0.808660i	−0.122305	+	0.0333486i
$589$	−12.1327	−	1.47318i	−0.499921	−	0.0607014i
$590$	−19.0258	+	5.92867i	−0.783279	+	0.244079i
$591$	10.2868	−	36.1075i	0.423142	−	1.48527i
$592$	13.4008	+	2.45578i	0.550768	+	0.100932i
$593$	0.0381036	+	0.122279i	0.00156473	+	0.00502139i	0.955500	−	0.294991i	$-0.0953168\pi$
$593$	0.0381036	+	0.122279i	0.00156473	+	0.00502139i	−0.953935	+	0.300013i	$0.903009\pi$
$594$	31.2395	+	13.5670i	1.28177	+	0.556662i
$595$	−33.2577	+	12.6130i	−1.36343	+	0.517082i
$596$	1.05976	+	1.05976i	0.0434093	+	0.0434093i
$597$	−0.948892	+	1.92108i	−0.0388356	+	0.0786244i
$598$	4.36586	+	1.96590i	0.178533	+	0.0803916i
$599$	12.8747	−	4.88274i	0.526047	−	0.199503i	−0.0772621	−	0.997011i	$-0.524618\pi$
$599$	12.8747	−	4.88274i	0.526047	−	0.199503i	0.603309	+	0.797508i	$0.293849\pi$
$600$	20.9735	−	36.6989i	0.856239	−	1.49823i
$601$	−17.8064	−	25.7970i	−0.726337	−	1.05228i	−0.996002	−	0.0893272i	$-0.971528\pi$
$601$	−17.8064	−	25.7970i	−0.726337	−	1.05228i	0.269665	−	0.962954i	$-0.413087\pi$
$602$	−9.31392	−	8.25141i	−0.379607	−	0.336302i
$603$	1.67005	−	4.25728i	0.0680098	−	0.173370i
$604$	−5.53136	−	0.334586i	−0.225068	−	0.0136141i
$605$	75.6740	+	23.5810i	3.07659	+	0.958703i
$606$	−24.2311	−	29.4127i	−0.984321	−	1.19481i
$607$	−0.813439	+	0.426925i	−0.0330165	+	0.0173284i	−0.481151	−	0.876638i	$-0.659781\pi$
$607$	−0.813439	+	0.426925i	−0.0330165	+	0.0173284i	0.448134	+	0.893966i	$0.352089\pi$
$608$	1.52921	+	12.5942i	0.0620178	+	0.510762i
$609$	−5.26324	−	15.5375i	−0.213277	−	0.629612i
$610$	−5.49489	−	10.4696i	−0.222482	−	0.423903i
$611$	2.43115	−	13.2523i	0.0983539	−	0.536132i
$612$	6.15048	−	7.66968i	0.248618	−	0.310028i
$613$	48.4001	+	2.92767i	1.95486	+	0.118247i	0.989677	−	0.143319i	$-0.0457775\pi$
$613$	48.4001	+	2.92767i	1.95486	+	0.118247i	0.965185	+	0.261566i	$0.0842390\pi$
$614$	−3.35889	+	3.79140i	−0.135554	+	0.153008i
$615$	62.6550	−	9.17262i	2.52649	−	0.369876i
$616$	23.0597	−	29.4335i	0.929102	−	1.18591i
$617$	−12.3940	+	0.749697i	−0.498962	+	0.0301817i	−0.307943	−	0.951405i	$-0.599641\pi$
$617$	−12.3940	+	0.749697i	−0.498962	+	0.0301817i	−0.191019	+	0.981586i	$0.561179\pi$
$618$	−15.1480	−	8.65714i	−0.609344	−	0.348241i
$619$	−11.9147	+	38.2357i	−0.478893	+	1.53682i	0.327154	+	0.944971i	$0.393911\pi$
$619$	−11.9147	+	38.2357i	−0.478893	+	1.53682i	−0.806047	+	0.591852i	$0.798397\pi$
$620$	−4.22571	+	8.05142i	−0.169709	+	0.323353i
$621$	5.55090	+	2.41071i	0.222750	+	0.0967385i
$622$	19.3895	−	1.17285i	0.777447	−	0.0470269i
$623$	−34.2682	−	8.44636i	−1.37293	−	0.338396i
$624$	−11.5167	+	6.40679i	−0.461037	+	0.256477i
$625$	−1.74161	+	0.429268i	−0.0696644	+	0.0171707i
$626$	16.7048	−	5.20542i	0.667657	−	0.208050i
$627$	−28.1774	−	18.4455i	−1.12530	−	0.736642i
$628$	−0.439075	−	0.166519i	−0.0175210	−	0.00664484i
$629$	12.4057	+	27.5643i	0.494646	+	1.09906i
$630$	25.9843	+	0.294769i	1.03524	+	0.0117439i
$631$	6.49745	−	10.7481i	0.258659	−	0.427875i	−0.699279	−	0.714849i	$-0.746495\pi$
$631$	6.49745	−	10.7481i	0.258659	−	0.427875i	0.957938	+	0.286974i	$0.0926493\pi$
$632$	2.67879	−	0.490907i	0.106557	−	0.0195272i
$633$	4.29013	−	0.105283i	0.170517	−	0.00418462i
$634$	5.43490	+	2.06119i	0.215847	+	0.0818601i
$635$	−18.4221	−	5.74055i	−0.731058	−	0.227807i
$636$	7.77661	−	4.32807i	0.308363	−	0.171619i
$637$	4.24728	+	8.09621i	0.168283	+	0.320784i
$638$	−24.1805	−	16.6906i	−0.957317	−	0.660788i
$639$	−4.49203	−	8.80002i	−0.177702	−	0.348123i
$640$	−7.63546	−	1.88197i	−0.301818	−	0.0743915i
$641$	−16.2241	−	23.5047i	−0.640814	−	0.928379i	0.359174	−	0.933271i	$-0.383058\pi$
$641$	−16.2241	−	23.5047i	−0.640814	−	0.928379i	−0.999988	+	0.00489149i	$0.998443\pi$
$642$	4.82817	−	30.5570i	0.190553	−	1.20599i
$643$	−0.593642	−	1.90507i	−0.0234110	−	0.0751284i	0.942276	−	0.334837i	$-0.108681\pi$
$643$	−0.593642	−	1.90507i	−0.0234110	−	0.0751284i	−0.965687	+	0.259708i	$0.916374\pi$
$644$	1.06220	−	1.35580i	0.0418566	−	0.0534260i
$645$	17.3106	+	27.1099i	0.681606	+	1.06745i
$646$	13.5162	−	11.9743i	0.531789	−	0.471124i
$647$	0.279251	−	0.404565i	0.0109785	−	0.0159051i	−0.817456	−	0.575991i	$-0.804616\pi$
$647$	0.279251	−	0.404565i	0.0109785	−	0.0159051i	0.828435	+	0.560086i	$0.189232\pi$
$648$	−24.0296	+	13.7919i	−0.943971	+	0.541799i
$649$	27.7396	+	3.36820i	1.08888	+	0.132214i
$650$	−31.1127	−	9.70152i	−1.22034	−	0.380525i
$651$	−13.2194	+	0.324415i	−0.518111	+	0.0127148i
$652$	7.14676	+	4.32037i	0.279889	+	0.169199i
$653$		−	20.0628i		−	0.785119i	−0.919727	−	0.392559i	$-0.871590\pi$
$653$		−	20.0628i		−	0.785119i	0.919727	−	0.392559i	$-0.128410\pi$
$654$	3.48801	−	36.1102i	0.136392	−	1.41202i
$655$	−53.4678	−	32.3224i	−2.08916	−	1.26294i
$656$	−8.80664	−	19.5675i	−0.343841	−	0.763984i
$657$	−12.3618	+	8.32731i	−0.482280	+	0.324879i
$658$	8.20952	+	3.69481i	0.320040	+	0.144039i
$659$	0.605186	−	2.45533i	0.0235747	−	0.0956463i	−0.957976	−	0.286848i	$-0.907392\pi$
$659$	0.605186	−	2.45533i	0.0235747	−	0.0956463i	0.981551	+	0.191202i	$0.0612386\pi$
$660$	−20.2654	+	14.7351i	−0.788828	+	0.573563i
$661$	37.8030	−	22.8527i	1.47037	−	0.888868i	0.470387	−	0.882460i	$-0.344114\pi$
$661$	37.8030	−	22.8527i	1.47037	−	0.888868i	0.999979	−	0.00640732i	$-0.00203953\pi$
$662$	−22.1414	+	19.6156i	−0.860550	+	0.762380i
$663$	−26.2137	−	12.9541i	−1.01806	−	0.503094i
$664$	41.1663	+	36.4702i	1.59756	+	1.41532i
$665$	−25.2748	−	4.63178i	−0.980115	−	0.179613i
$666$	−1.08323	−	22.0568i	−0.0419743	−	0.854683i
$667$	−4.29661	−	2.96574i	−0.166365	−	0.114834i
$668$	13.3185	−	8.05130i	0.515307	−	0.311514i
$669$	11.4397	−	5.48997i	0.442285	−	0.212254i
$670$	−3.85408	−	4.91937i	−0.148896	−	0.190052i
$671$	1.00106	+	16.5495i	0.0386455	+	0.638887i
$672$	3.61092	+	13.2429i	0.139294	+	0.510856i
$673$	−6.00134	−	11.4346i	−0.231335	−	0.440771i	0.741924	−	0.670484i	$-0.233914\pi$
$673$	−6.00134	−	11.4346i	−0.231335	−	0.440771i	−0.973258	+	0.229713i	$0.926221\pi$
$674$	3.42944	−	0.628467i	0.132097	−	0.0242077i
$675$	−39.4849	−	11.7348i	−1.51977	−	0.451674i
$676$	−6.03109	−	6.81285i	−0.231965	−	0.262033i
$677$		−	25.1286i		−	0.965772i	−0.875683	−	0.482886i	$-0.839589\pi$
$677$		−	25.1286i		−	0.965772i	0.875683	−	0.482886i	$-0.160411\pi$
$678$	−1.52806	−	17.9443i	−0.0586848	−	0.689145i
$679$	18.4536	−	9.68517i	0.708183	−	0.371683i
$680$	−18.3771	−	48.4565i	−0.704731	−	1.85822i
$681$	0.732798	−	20.4151i	0.0280809	−	0.782309i
$682$	−18.6434	+	14.6061i	−0.713892	+	0.559298i
$683$	−3.17247	−	5.24790i	−0.121391	−	0.200805i	0.789176	−	0.614168i	$-0.210508\pi$
$683$	−3.17247	−	5.24790i	−0.121391	−	0.200805i	−0.910567	+	0.413362i	$0.864354\pi$
$684$	6.66883	−	2.44299i	0.254989	−	0.0934101i
$685$	2.66813	−	3.86545i	0.101944	−	0.147691i
$686$	−22.3053	+	5.49777i	−0.851622	+	0.209906i
$687$	1.84466	−	6.47490i	0.0703780	−	0.247033i
$688$	7.22787	−	8.15858i	0.275560	−	0.311043i
$689$	−17.5491	−	19.8163i	−0.668566	−	0.754941i
$690$	6.68874	−	4.86343i	0.254636	−	0.185148i
$691$	16.9454	+	28.0311i	0.644634	+	1.06635i	0.991707	+	0.128517i	$0.0410216\pi$
$691$	16.9454	+	28.0311i	0.644634	+	1.06635i	−0.347074	+	0.937838i	$0.612825\pi$
$692$	−0.411897	−	0.464935i	−0.0156580	−	0.0176742i
$693$	−33.0558	−	15.3305i	−1.25569	−	0.582357i
$694$	−15.3882	+	34.1912i	−0.584128	+	1.29788i
$695$	−34.3019	+	34.3019i	−1.30114	+	1.30114i
$696$	22.6382	−	7.66855i	0.858099	−	0.290676i
$697$	24.6298	−	40.7427i	0.932920	−	1.54324i
$698$		−	2.37575i		−	0.0899236i
$699$	0.262686	−	2.71951i	0.00993571	−	0.102861i
$700$	−6.06488	+	10.0325i	−0.229231	+	0.379194i
$701$	−1.11765	−	9.20466i	−0.0422130	−	0.347655i	−0.998478	−	0.0551533i	$-0.982435\pi$
$701$	−1.11765	−	9.20466i	−0.0422130	−	0.347655i	0.956265	−	0.292502i	$-0.0944878\pi$
$702$	14.3723	+	15.8041i	0.542447	+	0.596486i
$703$	−2.63212	+	21.6775i	−0.0992724	+	0.817582i
$704$	38.4512	+	30.1246i	1.44918	+	1.13536i
$705$	−17.7923	−	14.9998i	−0.670097	−	0.564927i
$706$	18.1772	+	20.5178i	0.684108	+	0.772198i
$707$	25.1442	+	32.0942i	0.945644	+	1.20703i
$708$	−4.06342	+	4.26787i	−0.152713	+	0.160397i
$709$	−2.95379	+	0.920438i	−0.110932	+	0.0345678i	−0.352467	−	0.935824i	$-0.614657\pi$
$709$	−2.95379	+	0.920438i	−0.110932	+	0.0345678i	0.241535	+	0.970392i	$0.422349\pi$
$710$	−13.4770	−	0.815209i	−0.505783	−	0.0305942i
$711$	−1.06170	−	2.43236i	−0.0398170	−	0.0912207i
$712$	12.3064	−	49.9289i	0.461200	−	1.87116i
$713$	−3.31272	+	2.59535i	−0.124062	+	0.0971966i
$714$	12.5930	−	14.9373i	0.471280	−	0.559016i
$715$	55.7708	+	49.4273i	2.08571	+	1.84848i
$716$	5.52515	−	3.81374i	0.206485	−	0.142526i
$717$	11.5811	+	4.87420i	0.432505	+	0.182030i
$718$	−12.8362	+	33.8463i	−0.479042	+	1.26313i
$719$	4.80819	+	39.5990i	0.179315	+	1.47679i	0.753164	+	0.657833i	$0.228527\pi$
$719$	4.80819	+	39.5990i	0.179315	+	1.47679i	−0.573849	+	0.818961i	$0.694550\pi$
$720$	−0.258205	+	22.7611i	−0.00962273	+	0.848255i
$721$	15.9743	+	9.65677i	0.594912	+	0.359637i
$722$	−8.47785	+	1.55362i	−0.315513	+	0.0578199i
$723$	23.9335	−	8.10731i	0.890095	−	0.301514i
$724$	−3.64493	+	9.61090i	−0.135463	+	0.357186i
$725$	31.4651	+	16.5142i	1.16858	+	0.613321i
$726$	−42.6188	+	8.89609i	−1.58173	+	0.330165i
$727$	−5.72430	−	23.2244i	−0.212303	−	0.861345i	−0.976352	−	0.216187i	$-0.930638\pi$
$727$	−5.72430	−	23.2244i	−0.212303	−	0.861345i	0.764049	−	0.645158i	$-0.223208\pi$
$728$	20.7679	−	10.8949i	0.769711	−	0.403791i
$729$	18.4312	+	19.7304i	0.682638	+	0.730756i
$730$	1.22980	+	20.3310i	0.0455169	+	0.752484i
$731$	24.0069	+	2.91496i	0.887927	+	0.107814i
$732$	−2.92538	−	1.91502i	−0.108125	−	0.0707810i
$733$	−35.1950	−	10.9672i	−1.29996	−	0.405083i	−0.432068	−	0.901841i	$-0.642216\pi$
$733$	−35.1950	−	10.9672i	−1.29996	−	0.405083i	−0.867889	+	0.496758i	$0.834524\pi$
$734$	−10.5483	−	4.74741i	−0.389345	−	0.175230i
$735$	15.7811	+	0.566459i	0.582094	+	0.0208942i
$736$	3.43872	+	2.69406i	0.126753	+	0.0993044i
$737$	2.09709	+	8.50824i	0.0772474	+	0.313405i
$738$	−27.6212	+	21.1387i	−1.01675	+	0.778125i
$739$	2.14666	−	35.4886i	0.0789663	−	1.30547i	−0.715694	−	0.698414i	$-0.753889\pi$
$739$	2.14666	−	35.4886i	0.0789663	−	1.30547i	0.794660	−	0.607055i	$-0.207649\pi$
$740$	14.3854	+	7.55005i	0.528818	+	0.277545i
$741$	−11.3647	−	17.8055i	−0.417494	−	0.654102i
$742$	15.6607	−	8.21935i	0.574921	−	0.301742i
$743$	−8.10871	−	18.0168i	−0.297480	−	0.660973i	0.701166	−	0.712998i	$-0.252663\pi$
$743$	−8.10871	−	18.0168i	−0.297480	−	0.660973i	−0.998646	+	0.0520252i	$0.983432\pi$
$744$	−0.472673	−	19.2608i	−0.0173290	−	0.706133i
$745$	−3.57789	−	6.81710i	−0.131084	−	0.249759i
$746$	3.83816	−	3.83816i	0.140525	−	0.140525i
$747$	25.4438	−	47.1710i	0.930942	−	1.72590i
$748$	−1.13742	+	18.8038i	−0.0415883	+	0.687536i
$749$	−5.96597	+	32.5553i	−0.217992	+	1.18954i
$750$	−15.2160	+	14.1615i	−0.555609	+	0.517104i
$751$	23.7633	−	16.4026i	0.867135	−	0.598540i	−0.0492732	−	0.998785i	$-0.515690\pi$
$751$	23.7633	−	16.4026i	0.867135	−	0.598540i	0.916408	+	0.400245i	$0.131075\pi$
$752$	−3.23649	+	7.19117i	−0.118022	+	0.262235i
$753$	−22.4387	+	6.11831i	−0.817712	+	0.222964i
$754$	−9.53083	−	15.7726i	−0.347093	−	0.574405i
$755$	26.6168	+	10.0944i	0.968686	+	0.367374i
$756$	6.75636	−	3.66049i	0.245726	−	0.133131i
$757$	7.87503	+	20.7647i	0.286223	+	0.754708i	0.998599	+	0.0529100i	$0.0168497\pi$
$757$	7.87503	+	20.7647i	0.286223	+	0.754708i	−0.712376	+	0.701798i	$0.752381\pi$
$758$	−0.652241	+	5.37169i	−0.0236905	+	0.195109i
$759$	−11.3516	+	2.36948i	−0.412035	+	0.0860067i
$760$	6.74851	−	36.8254i	0.244794	−	1.33580i
$761$	−5.04218	+	27.5143i	−0.182779	+	0.997391i	0.756438	+	0.654066i	$0.226938\pi$
$761$	−5.04218	+	27.5143i	−0.182779	+	0.997391i	−0.939216	+	0.343326i	$0.888447\pi$
$762$	10.3751	−	2.16567i	0.375851	−	0.0784538i
$763$	−4.67837	+	38.5298i	−0.169368	+	1.39487i
$764$	−1.69251	−	4.46277i	−0.0612328	−	0.161458i
$765$	−41.8860	+	28.2157i	−1.51439	+	1.02014i
$766$	−10.9033	−	4.13506i	−0.393951	−	0.149406i
$767$	14.9972	+	9.06996i	0.541517	+	0.327497i
$768$	−24.2313	+	6.60709i	−0.874371	+	0.238413i
$769$	−8.59827	+	19.1046i	−0.310061	+	0.688928i	−0.999368	−	0.0355414i	$-0.988684\pi$
$769$	−8.59827	+	19.1046i	−0.310061	+	0.688928i	0.689307	+	0.724470i	$0.257915\pi$
$770$	−40.9792	+	28.2859i	−1.47679	+	1.01935i
$771$	−2.78579	+	2.59273i	−0.100328	+	0.0933749i
$772$	0.553588	−	3.02083i	0.0199241	−	0.108722i
$773$	0.354354	−	5.85818i	0.0127452	−	0.210704i	−0.986228	−	0.165393i	$-0.947111\pi$
$773$	0.354354	−	5.85818i	0.0127452	−	0.210704i	0.998973	−	0.0453107i	$-0.0144278\pi$
$774$	−15.5498	−	8.38751i	−0.558927	−	0.301483i
$775$	20.2545	−	20.2545i	0.727562	−	0.727562i
$776$	14.1113	+	26.8869i	0.506567	+	0.965182i
$777$	0.579630	+	23.6191i	0.0207941	+	0.847330i
$778$	−11.1000	−	24.6631i	−0.397954	−	0.884217i
$779$	30.4538	−	15.9834i	1.09112	−	0.572664i
$780$	−15.3846	+	3.20831i	−0.550857	+	0.114876i
$781$	16.7636	+	8.79820i	0.599848	+	0.314824i
$782$	0.375415	−	6.20635i	0.0134248	−	0.221939i
$783$	−12.3120	−	19.7726i	−0.439994	−	0.706614i
$784$	−1.28061	−	5.19563i	−0.0457360	−	0.185558i
$785$	1.89892	+	1.48771i	0.0677755	+	0.0530987i
$786$	34.2959	+	1.23105i	1.22329	+	0.0439100i
$787$	43.6193	+	19.6314i	1.55486	+	0.699785i	0.991938	−	0.126725i	$-0.0404466\pi$
$787$	43.6193	+	19.6314i	1.55486	+	0.699785i	0.562921	+	0.826510i	$0.309677\pi$
$788$	−14.4845	−	4.51354i	−0.515988	−	0.160788i
$789$	−12.0010	−	7.85613i	−0.427248	−	0.279686i
$790$	−3.60031	−	0.437156i	−0.128093	−	0.0155533i
$791$	1.16334	+	19.2323i	0.0413635	+	0.683820i
$792$	22.3365	−	48.1624i	0.793694	−	1.71138i
$793$	−3.68939	+	9.72262i	−0.131014	+	0.345260i
$794$	7.82812	+	31.7599i	0.277809	+	1.12712i
$795$	−44.7543	+	9.34185i	−1.58727	+	0.331321i
$796$	0.766654	+	0.402371i	0.0271733	+	0.0142617i
$797$	14.2050	−	37.4556i	0.503169	−	1.32675i	−0.407348	−	0.913273i	$-0.633546\pi$
$797$	14.2050	−	37.4556i	0.503169	−	1.32675i	0.910516	−	0.413473i	$-0.135685\pi$
$798$	13.3679	−	4.52830i	0.473220	−	0.160300i
$799$	−17.2099	+	3.15382i	−0.608841	+	0.111574i
$800$	−25.4455	−	15.3823i	−0.899634	−	0.543848i
$801$	−50.1090	−	0.568444i	−1.77052	−	0.0200850i
$802$	2.56022	+	21.0853i	0.0904043	+	0.744547i
$803$	10.1277	−	26.7045i	0.357398	−	0.942380i
$804$	−1.70327	−	0.716860i	−0.0600695	−	0.0252817i
$805$	−7.28154	+	5.02608i	−0.256641	+	0.177146i
$806$	−14.4238	+	3.55227i	−0.508056	+	0.125123i
$807$	−10.1451	+	12.0337i	−0.357123	+	0.423607i
$808$	−46.7613	+	36.6351i	−1.64506	+	1.28882i
$809$	0.750836	−	3.04626i	0.0263980	−	0.107101i	−0.956265	−	0.292502i	$-0.905512\pi$
$809$	0.750836	−	3.04626i	0.0263980	−	0.107101i	0.982663	+	0.185401i	$0.0593584\pi$
$810$	36.0153	−	8.01493i	1.26545	−	0.281616i
$811$	−5.24181	−	0.317071i	−0.184065	−	0.0111339i	−0.0319112	−	0.999491i	$-0.510159\pi$
$811$	−5.24181	−	0.317071i	−0.184065	−	0.0111339i	−0.152154	+	0.988357i	$0.548621\pi$
$812$	−6.32891	+	1.97217i	−0.222101	+	0.0692095i
$813$	10.2214	−	10.7358i	0.358482	−	0.376519i
$814$	26.0967	+	33.3100i	0.914689	+	1.16751i
$815$	−28.4480	−	32.1112i	−0.996491	−	1.12481i
$816$	13.0844	+	11.0309i	0.458047	+	0.386158i
$817$	13.7524	+	10.7743i	0.481134	+	0.376945i
$818$	2.39952	−	19.7618i	0.0838973	−	0.690956i
$819$	−14.9570	−	17.2803i	−0.522639	−	0.603824i
$820$	−3.08434	−	25.4018i	−0.107710	−	0.887070i
$821$	16.2036	−	26.8040i	0.565510	−	0.935468i	−0.433895	−	0.900964i	$-0.642861\pi$
$821$	16.2036	−	26.8040i	0.565510	−	0.935468i	0.999405	−	0.0345040i	$-0.0109851\pi$
$822$	−0.248046	+	2.56794i	−0.00865159	+	0.0895670i
$823$			36.7746i			1.28188i	0.767591	+	0.640940i	$0.221455\pi$
$823$			36.7746i			1.28188i	−0.767591	+	0.640940i	$0.778545\pi$
$824$	−14.0699	+	23.2745i	−0.490149	+	0.810806i
$825$	74.7577	−	25.3237i	2.60273	−	0.881658i
$826$	−8.28079	+	8.28079i	−0.288126	+	0.288126i
$827$	15.4279	−	34.2794i	0.536481	−	1.19201i	−0.421933	−	0.906627i	$-0.638648\pi$
$827$	15.4279	−	34.2794i	0.536481	−	1.19201i	0.958413	−	0.285384i	$-0.0921211\pi$
$828$	1.02889	−	2.21851i	0.0357564	−	0.0770986i
$829$	−16.6487	−	18.7925i	−0.578232	−	0.652689i	0.384507	−	0.923122i	$-0.374372\pi$
$829$	−16.6487	−	18.7925i	−0.578232	−	0.652689i	−0.962739	+	0.270433i	$0.912833\pi$
$830$	−37.8899	−	62.6776i	−1.31518	−	2.17557i
$831$	−11.3199	+	8.23077i	−0.392682	+	0.285522i
$832$	14.2328	+	27.1307i	0.493433	+	0.940588i
$833$	7.87293	−	8.88670i	0.272781	−	0.307906i
$834$	7.30065	−	25.6259i	0.252801	−	0.887353i
$835$	−77.6242	+	19.1326i	−2.68630	+	0.662112i
$836$	−7.73081	+	11.2000i	−0.267376	+	0.387361i
$837$	−18.1690	+	4.73334i	−0.628011	+	0.163608i
$838$	−14.5877	−	24.1310i	−0.503923	−	0.833591i
$839$	38.0817	−	29.8351i	1.31473	−	1.03002i	0.318090	−	0.948061i	$-0.396959\pi$
$839$	38.0817	−	29.8351i	1.31473	−	1.03002i	0.996636	−	0.0819607i	$-0.0261182\pi$
$840$	1.45305	−	40.4807i	0.0501349	−	1.39672i
$841$	−3.15810	−	8.32723i	−0.108900	−	0.287146i
$842$	27.0533	−	14.1987i	0.932318	−	0.489318i
$843$	−1.84078	−	21.6166i	−0.0634000	−	0.744516i
$844$		−	1.73414i		−	0.0596915i
$845$	19.1671	+	42.6303i	0.659369	+	1.46653i
$846$	12.5462	+	2.44658i	0.431347	+	0.0841153i
$847$	45.8161	−	8.39612i	1.57426	−	0.288494i
$848$	7.19978	+	13.7180i	0.247241	+	0.471079i
$849$	10.8428	+	39.7656i	0.372124	+	1.36475i
$850$	2.55529	+	42.2439i	0.0876456	+	1.44895i
$851$	4.63709	+	5.91881i	0.158957	+	0.202894i
$852$	−3.59950	+	1.72742i	−0.123317	+	0.0591803i
$853$	10.5721	−	6.39105i	0.361981	−	0.218825i	−0.324645	−	0.945836i	$-0.605245\pi$
$853$	10.5721	−	6.39105i	0.361981	−	0.218825i	0.686626	+	0.727011i	$0.259091\pi$
$854$	−5.71843	−	3.94715i	−0.195681	−	0.135069i
$855$	−36.4404	+	1.78962i	−1.24623	+	0.0612038i
$856$	−47.4331	−	8.69244i	−1.62123	−	0.297101i
$857$	−36.2078	−	32.0773i	−1.23684	−	1.09574i	−0.992008	−	0.126174i	$-0.959730\pi$
$857$	−36.2078	−	32.0773i	−1.23684	−	1.09574i	−0.244828	−	0.969567i	$-0.578731\pi$
$858$	−39.9703	−	8.82542i	−1.36456	−	0.301295i
$859$	−33.3093	+	29.5095i	−1.13650	+	1.00685i	−0.136632	+	0.990622i	$0.543628\pi$
$859$	−33.3093	+	29.5095i	−1.13650	+	1.00685i	−0.999868	+	0.0162295i	$0.994834\pi$
$860$	11.1233	−	6.72426i	0.379301	−	0.229295i
$861$	30.0969	−	21.8837i	1.02570	−	0.745795i
$862$	10.1499	−	41.1797i	0.345706	−	1.40258i
$863$	8.22736	+	3.70283i	0.280062	+	0.126046i	0.545576	−	0.838061i	$-0.316311\pi$
$863$	8.22736	+	3.70283i	0.280062	+	0.126046i	−0.265514	+	0.964107i	$0.585542\pi$
$864$	9.28409	+	17.1361i	0.315851	+	0.582983i
$865$	1.30957	+	2.90973i	0.0445266	+	0.0989339i
$866$	24.1549	+	14.6021i	0.820816	+	0.496201i
$867$	−0.819689	+	8.48597i	−0.0278381	+	0.288199i
$868$			5.34351i			0.181370i
$869$	4.35205	+	2.63090i	0.147633	+	0.0892473i
$870$	−31.8203	+	0.780894i	−1.07881	+	0.0264748i
$871$	−0.991735	+	5.40600i	−0.0336037	+	0.183175i
$872$	−56.1380	−	6.81639i	−1.90107	−	0.230832i
$873$	22.3703	−	19.3699i	0.757119	−	0.655572i
$874$	2.55161	−	3.69665i	0.0863096	−	0.125041i
$875$	16.6458	−	14.7469i	0.562732	−	0.498537i
$876$	3.24145	+	5.07639i	0.109518	+	0.171515i
$877$	12.8688	−	16.4259i	0.434550	−	0.554662i	−0.519437	−	0.854508i	$-0.673858\pi$
$877$	12.8688	−	16.4259i	0.434550	−	0.554662i	0.953988	+	0.299846i	$0.0969354\pi$
$878$	−6.75040	−	21.6628i	−0.227815	−	0.731083i
$879$	0.502240	−	3.17862i	0.0169401	−	0.107212i
$880$	−24.7772	−	35.8959i	−0.835239	−	1.21005i
$881$	−7.93603	−	1.95606i	−0.267372	−	0.0659012i	0.103351	−	0.994645i	$-0.467044\pi$
$881$	−7.93603	−	1.95606i	−0.267372	−	0.0659012i	−0.370722	+	0.928744i	$0.620890\pi$
$882$	−7.72548	+	3.94353i	−0.260130	+	0.132785i
$883$	16.6616	+	11.5007i	0.560708	+	0.387028i	0.814442	−	0.580246i	$-0.197043\pi$
$883$	16.6616	+	11.5007i	0.560708	+	0.387028i	−0.253734	+	0.967274i	$0.581659\pi$
$884$	−5.49296	+	10.4612i	−0.184748	+	0.351848i
$885$	26.4512	−	14.7214i	0.889149	−	0.494855i
$886$	2.92947	+	0.912859i	0.0984174	+	0.0306681i
$887$	1.68351	+	0.638471i	0.0565268	+	0.0214378i	0.382706	−	0.923870i	$-0.374992\pi$
$887$	1.68351	+	0.638471i	0.0565268	+	0.0214378i	−0.326179	+	0.945308i	$0.605761\pi$
$888$	−34.4131	+	0.844521i	−1.15483	+	0.0283403i
$889$	−11.1535	+	2.04395i	−0.374076	+	0.0685520i
$890$	−35.4273	+	58.6039i	−1.18753	+	1.96441i
$891$	−50.6644	−	10.4778i	−1.69732	−	0.351020i
$892$	−2.10439	−	4.67575i	−0.0704600	−	0.156556i
$893$	−11.8184	−	4.48211i	−0.395486	−	0.149988i
$894$	3.53818	+	2.31617i	0.118335	+	0.0774643i
$895$	−32.9262	+	10.2602i	−1.10060	+	0.342961i
$896$	−4.48700	+	1.10595i	−0.149900	+	0.0369471i
$897$	−7.10226	−	1.56818i	−0.237138	−	0.0523599i
$898$	−1.18949	−	0.293183i	−0.0396939	−	0.00978366i
$899$	16.1677	−	0.977965i	0.539222	−	0.0326170i
$900$	−5.13199	+	15.8345i	−0.171066	+	0.527816i
$901$	−15.9741	+	30.4361i	−0.532175	+	1.01397i
$902$	19.8279	−	63.6300i	0.660198	−	2.11865i
$903$	16.4110	+	9.37894i	0.546125	+	0.312112i
$904$	−28.0214	+	1.69498i	−0.931979	+	0.0563743i
$905$	32.5645	−	41.5655i	1.08248	−	1.38168i
$906$	−15.4712	+	2.26497i	−0.513997	+	0.0752486i
$907$	17.5747	−	19.8377i	0.583557	−	0.658700i	−0.380380	−	0.924830i	$-0.624207\pi$
$907$	17.5747	−	19.8377i	0.583557	−	0.658700i	0.963937	+	0.266130i	$0.0857451\pi$
$908$	−8.23988	−	0.498421i	−0.273450	−	0.0165407i
$909$	45.1613	+	36.2158i	1.49791	+	1.20120i
$910$	−30.7207	+	5.62382i	−1.01838	+	0.186428i
$911$	11.6317	+	22.1623i	0.385374	+	0.734268i	0.998444	−	0.0557599i	$-0.0177581\pi$
$911$	11.6317	+	22.1623i	0.385374	+	0.734268i	−0.613070	+	0.790028i	$0.710066\pi$
$912$	3.96659	+	11.7097i	0.131347	+	0.387747i
$913$	12.3789	+	101.949i	0.409682	+	3.37403i
$914$	27.9106	−	14.6486i	0.923201	−	0.484533i
$915$	11.4206	+	13.8629i	0.377555	+	0.458292i
$916$	−2.59740	−	0.809381i	−0.0858204	−	0.0267427i
$917$	−36.6486	−	2.21683i	−1.21024	−	0.0732062i
$918$	12.5664	−	24.7307i	0.414753	−	0.816234i
$919$	−24.8936	−	22.0538i	−0.821164	−	0.727488i	0.143875	−	0.989596i	$-0.454044\pi$
$919$	−24.8936	−	22.0538i	−0.821164	−	0.727488i	−0.965038	+	0.262108i	$0.915582\pi$
$920$	−7.32301	−	10.6092i	−0.241433	−	0.349776i
$921$	3.81787	−	6.68041i	0.125803	−	0.220127i
$922$	−44.9969	+	17.0651i	−1.48190	+	0.562009i
$923$	7.32150	+	9.34882i	0.240990	+	0.307720i
$924$	−6.52080	+	13.2017i	−0.214519	+	0.434303i
$925$	−36.1886	−	36.1886i	−1.18987	−	1.18987i
$926$	10.5511	−	4.00149i	0.346730	−	0.131497i
$927$	25.2124	+	8.17139i	0.828083	+	0.268384i
$928$	−5.00201	−	16.0520i	−0.164199	−	0.526933i
$929$	28.9689	+	5.30874i	0.950438	+	0.174174i	0.633041	−	0.774119i	$-0.281807\pi$
$929$	28.9689	+	5.30874i	0.950438	+	0.174174i	0.317397	+	0.948293i	$0.397191\pi$
$930$	−7.02985	+	24.6754i	−0.230518	+	0.809137i
$931$	8.18854	−	2.55165i	0.268369	−	0.0836270i
$932$	−1.09600	−	0.133079i	−0.0359007	−	0.00435914i
$933$	−28.4682	+	7.76238i	−0.932008	+	0.254129i
$934$	23.9814	−	23.9814i	0.784695	−	0.784695i
$935$	34.3160	−	90.4838i	1.12225	−	2.95914i
$936$	25.1775	−	21.7923i	0.822952	−	0.712305i
$937$	−8.55307	−	22.5526i	−0.279417	−	0.736761i	−0.999098	−	0.0424570i	$-0.986481\pi$
$937$	−8.55307	−	22.5526i	−0.279417	−	0.736761i	0.719682	−	0.694304i	$-0.244288\pi$
$938$	−3.34889	−	1.50721i	−0.109345	−	0.0492123i
$939$	−23.2244	+	12.9255i	−0.757900	+	0.421809i
$940$	−6.23591	+	7.03889i	−0.203393	+	0.229583i
$941$	−56.5364	−	10.3607i	−1.84303	−	0.337749i	−0.858483	−	0.512843i	$-0.828592\pi$
$941$	−56.5364	−	10.3607i	−1.84303	−	0.337749i	−0.984552	+	0.175094i	$0.943977\pi$
$942$	−1.30879	−	0.206796i	−0.0426426	−	0.00673776i
$943$	3.52320	−	11.3063i	0.114731	−	0.368185i
$944$	−7.25360	−	7.25360i	−0.236085	−	0.236085i
$945$	−38.7303	+	7.62700i	−1.25990	+	0.248106i
$946$	33.6074	−	4.08068i	1.09267	−	0.132674i
$947$	−48.0972	+	21.6468i	−1.56295	+	0.703426i	−0.992985	−	0.118243i	$-0.962274\pi$
$947$	−48.0972	+	21.6468i	−1.56295	+	0.703426i	−0.569965	+	0.821669i	$0.693043\pi$
$948$	−0.993133	+	0.404785i	−0.0322555	+	0.0131468i
$949$	12.6692	−	12.6644i	0.411259	−	0.411105i
$950$	−14.2082	+	27.0715i	−0.460975	+	0.878314i
$951$	−8.72151	−	1.37805i	−0.282814	−	0.0446862i
$952$	−22.7956	−	20.1952i	−0.738811	−	0.654529i
$953$	−42.6746	+	10.5183i	−1.38237	+	0.340723i	−0.859257	−	0.511543i	$-0.829074\pi$
$953$	−42.6746	+	10.5183i	−1.38237	+	0.340723i	−0.523109	+	0.852266i	$0.675228\pi$
$954$	18.9846	−	16.4383i	0.614649	−	0.532210i
$955$	1.48040	+	24.4740i	0.0479047	+	0.791960i
$956$	2.08385	−	4.63013i	0.0673966	−	0.149749i
$957$	41.1373	+	17.3136i	1.32978	+	0.559670i
$958$	6.26603	+	3.28867i	0.202446	+	0.106252i
$959$	0.332697	−	2.74001i	0.0107433	−	0.0884794i
$960$	52.8829	+	1.89823i	1.70679	+	0.0612650i
$961$	−4.29425	+	17.4224i	−0.138524	+	0.562014i
$962$	6.34681	+	25.7709i	0.204629	+	0.830886i
$963$	2.30513	+	46.9371i	0.0742817	+	1.51253i
$964$	−3.03786	−	9.74884i	−0.0978429	−	0.313989i
$965$	−7.33172	+	13.9694i	−0.236016	+	0.449691i
$966$	2.15224	−	4.35731i	0.0692472	−	0.140194i
$967$	−30.0487	+	13.5238i	−0.966302	+	0.434897i	−0.831224	−	0.555938i	$-0.812359\pi$
$967$	−30.0487	+	13.5238i	−0.966302	+	0.434897i	−0.135078	+	0.990835i	$0.543129\pi$
$968$	12.2332	+	66.7542i	0.393189	+	2.14556i
$969$	−16.3820	+	22.0013i	−0.526266	+	0.706783i
$970$	−7.28897	−	39.7746i	−0.234035	−	1.27709i
$971$	14.2676	−	1.73241i	0.457870	−	0.0555955i	0.111648	−	0.993748i	$-0.464387\pi$
$971$	14.2676	−	1.73241i	0.457870	−	0.0555955i	0.346223	+	0.938152i	$0.387464\pi$
$972$	8.15327	−	7.25011i	0.261516	−	0.232547i
$973$	−8.48097	+	27.2164i	−0.271887	+	0.872517i
$974$	−13.5829	−	19.6783i	−0.435225	−	0.630532i
$975$	49.2761	+	4.76909i	1.57810	+	0.152733i
$976$	3.45753	−	5.00909i	0.110673	−	0.160337i
$977$	−7.87707	−	10.0543i	−0.252010	−	0.321667i	0.644573	−	0.764543i	$-0.277035\pi$
$977$	−7.87707	−	10.0543i	−0.252010	−	0.321667i	−0.896583	+	0.442876i	$0.853958\pi$
$978$	22.2312	+	7.81288i	0.710874	+	0.249829i
$979$	79.0257	−	54.5475i	2.52567	−	1.74335i
$980$	0.385284	−	6.36950i	0.0123074	−	0.203466i
$981$	6.02163	+	54.7787i	0.192256	+	1.74895i
$982$	−0.0325458	−	0.0254980i	−0.00103858	−	0.000813675i
$983$	−32.6681	+	25.5938i	−1.04195	+	0.816315i	−0.983305	−	0.181964i	$-0.941755\pi$
$983$	−32.6681	+	25.5938i	−1.04195	+	0.816315i	−0.0586441	+	0.998279i	$0.518678\pi$
$984$	31.8846	+	43.8513i	1.01644	+	1.39793i
$985$	64.1400	+	44.2727i	2.04367	+	1.41064i
$986$	−14.7587	+	18.8381i	−0.470014	+	0.599928i
$987$	−13.3545	−	2.94603i	−0.425077	−	0.0937732i
$988$	−7.30561	+	4.41452i	−0.232422	+	0.140445i
$989$	5.97166	−	0.725091i	0.189888	−	0.0230565i
$990$	−47.4798	+	52.3842i	−1.50901	+	1.66488i
$991$	12.3824			0.393340			0.196670	−	0.980470i	$-0.436987\pi$
$991$	12.3824			0.393340			0.196670	+	0.980470i	$0.436987\pi$
$992$	−13.5527			−0.430299
$993$	26.8359	−	36.0410i	0.851611	−	1.14373i
$994$	−7.23527	+	3.25633i	−0.229489	+	0.103285i
$995$	−3.14506	−	3.14506i	−0.0997053	−	0.0997053i
$996$	−18.8035	−	10.7463i	−0.595813	−	0.340508i
$997$	−10.8271	−	2.66864i	−0.342898	−	0.0845167i	0.0641063	−	0.997943i	$-0.479580\pi$
$997$	−10.8271	−	2.66864i	−0.342898	−	0.0845167i	−0.407004	+	0.913426i	$0.633426\pi$
$998$	23.1091	−	20.4729i	0.731506	−	0.648058i
$999$	8.45703	+	32.4624i	0.267569	+	1.02706i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	507.2.s.a.203.20	yes	1392
3.2	odd	2	inner	507.2.s.a.203.39	yes	1392
169.5	odd	52	inner	507.2.s.a.5.39	yes	1392
507.5	even	52	inner	507.2.s.a.5.20	✓	1392

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
507.2.s.a.5.20	✓	1392	507.5	even	52	inner
507.2.s.a.5.39	yes	1392	169.5	odd	52	inner
507.2.s.a.203.20	yes	1392	1.1	even	1	trivial
507.2.s.a.203.39	yes	1392	3.2	odd	2	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:	\( N \)	\(=\)	\( 507 = 3 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	507.s (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.205529 - 1.12154i) q^{2} +(0.653740 + 1.60394i) q^{3} +(0.654428 - 0.248192i) q^{4} +(-3.58890 + 0.217089i) q^{5} +(1.66452 - 1.06285i) q^{6} +(-1.80817 + 1.09308i) q^{7} +(-1.59261 - 2.63450i) q^{8} +(-2.14525 + 2.09712i) q^{9} +(0.981098 + 3.98047i) q^{10} +(1.03620 - 5.65434i) q^{11} +(0.825911 + 0.887411i) q^{12} +(2.04874 - 2.96693i) q^{13} +(1.59756 + 1.80327i) q^{14} +(-2.69441 - 5.61447i) q^{15} +(-1.57958 + 1.39939i) q^{16} +(-4.54606 - 1.12050i) q^{17} +(2.79291 + 1.97495i) q^{18} +(-2.39174 - 2.39174i) q^{19} +(-2.29480 + 1.03281i) q^{20} +(-2.93530 - 2.18560i) q^{21} -6.55452 q^{22} -1.16467 q^{23} +(3.18443 - 4.27674i) q^{24} +(7.86956 - 0.955538i) q^{25} +(-3.74860 - 1.68795i) q^{26} +(-4.76609 - 2.06987i) q^{27} +(-0.912024 + 1.16411i) q^{28} +(3.68914 + 2.54643i) q^{29} +(-5.74306 + 4.17582i) q^{30} +(2.84435 - 2.22841i) q^{31} +(-2.95254 - 2.31316i) q^{32} +(9.74663 - 2.03447i) q^{33} +(-0.322337 + 5.32887i) q^{34} +(6.25205 - 4.31548i) q^{35} +(-0.883422 + 1.90485i) q^{36} +(-3.98148 - 5.08199i) q^{37} +(-2.19086 + 3.17400i) q^{38} +(6.09812 + 1.34646i) q^{39} +(6.28766 + 9.10924i) q^{40} +(-3.02507 + 9.70781i) q^{41} +(-1.84795 + 3.74125i) q^{42} +(-5.12736 + 0.622574i) q^{43} +(-0.725246 - 3.95754i) q^{44} +(7.24382 - 7.99208i) q^{45} +(0.239373 + 1.30622i) q^{46} +(3.40765 - 1.53366i) q^{47} +(-3.27717 - 1.61872i) q^{48} +(-1.17841 + 2.24526i) q^{49} +(-2.68910 - 8.62962i) q^{50} +(-1.17472 - 8.02412i) q^{51} +(0.604389 - 2.45012i) q^{52} +(1.75692 - 7.12810i) q^{53} +(-1.34187 + 5.77077i) q^{54} +(-2.49132 + 20.5178i) q^{55} +(5.75942 + 3.02278i) q^{56} +(2.27263 - 5.39979i) q^{57} +(2.09769 - 4.66087i) q^{58} +(0.293499 + 4.85212i) q^{59} +(-3.15676 - 3.00554i) q^{60} +(-2.80038 + 0.690231i) q^{61} +(-3.08384 - 2.73204i) q^{62} +(1.58665 - 6.13686i) q^{63} +(-3.94888 + 7.52396i) q^{64} +(-6.70866 + 11.0928i) q^{65} +(-4.28496 - 10.5131i) q^{66} +(-1.39008 + 0.625623i) q^{67} +(-3.25317 + 0.395006i) q^{68} +(-0.761389 - 1.86805i) q^{69} +(-6.12495 - 6.12495i) q^{70} +(-0.979798 + 3.14428i) q^{71} +(8.94142 + 2.31176i) q^{72} +(4.88695 + 0.895566i) q^{73} +(-4.88133 + 5.50988i) q^{74} +(6.67728 + 11.9976i) q^{75} +(-2.15884 - 0.971613i) q^{76} +(4.30700 + 11.3566i) q^{77} +(0.256766 - 7.11601i) q^{78} +(-0.313705 + 0.827171i) q^{79} +(5.36518 - 5.36518i) q^{80} +(0.204168 - 8.99768i) q^{81} +(11.5094 + 1.39750i) q^{82} +(-17.0563 + 5.31495i) q^{83} +(-2.46339 - 0.701804i) q^{84} +(16.5586 + 3.03448i) q^{85} +(1.75206 + 5.62257i) q^{86} +(-1.67258 + 7.58186i) q^{87} +(-16.5466 + 6.27531i) q^{88} +(11.8116 + 11.8116i) q^{89} +(-10.4522 - 6.48161i) q^{90} +(-0.461399 + 7.60413i) q^{91} +(-0.762190 + 0.289061i) q^{92} +(5.43370 + 3.10537i) q^{93} +(-2.42043 - 3.50660i) q^{94} +(9.10296 + 8.06452i) q^{95} +(1.77998 - 6.24790i) q^{96} +(-9.84564 - 0.595552i) q^{97} +(2.76035 + 0.860158i) q^{98} +(9.63494 + 14.3030i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1392 q - 22 q^{3} - 52 q^{4} - 22 q^{6} - 56 q^{7} - 22 q^{9} - 52 q^{10} - 26 q^{12} - 44 q^{13} - 34 q^{15} + 48 q^{16} - 34 q^{18} - 56 q^{19} - 22 q^{21} - 96 q^{22} - 194 q^{24} - 52 q^{25} - 34 q^{27}+ \cdots - 58 q^{99}+O(q^{100}) \) 1392 * q - 22 * q^3 - 52 * q^4 - 22 * q^6 - 56 * q^7 - 22 * q^9 - 52 * q^10 - 26 * q^12 - 44 * q^13 - 34 * q^15 + 48 * q^16 - 34 * q^18 - 56 * q^19 - 22 * q^21 - 96 * q^22 - 194 * q^24 - 52 * q^25 - 34 * q^27 - 56 * q^28 + 78 * q^30 - 32 * q^31 - 10 * q^33 - 52 * q^34 - 26 * q^36 - 56 * q^37 + 70 * q^39 - 36 * q^40 - 10 * q^42 - 52 * q^43 - 140 * q^45 - 180 * q^46 - 2 * q^48 - 52 * q^49 - 26 * q^51 - 64 * q^52 - 22 * q^54 + 132 * q^55 - 22 * q^57 - 60 * q^58 - 18 * q^60 - 92 * q^61 + 108 * q^63 - 52 * q^64 - 124 * q^66 - 240 * q^67 - 104 * q^69 - 268 * q^70 - 2 * q^72 - 56 * q^73 + 104 * q^75 - 48 * q^76 - 22 * q^78 - 12 * q^79 + 2 * q^81 + 208 * q^82 - 22 * q^84 - 52 * q^85 - 26 * q^87 - 260 * q^88 - 26 * q^90 - 32 * q^91 - 176 * q^93 - 240 * q^94 + 292 * q^96 - 80 * q^97 - 58 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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