LMFDB - Embedded newform 507.2.s.a.5.2

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [507,2,Mod(5,507)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://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);

sage: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")

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

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

Self dual:	no
Analytic conductor:	$4.04841538248$
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			5.2
Character	$\chi$	$=$	507.5
Dual form			507.2.s.a.203.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.493960 + 2.69545i) q^{2} +(-1.66195 - 0.487770i) q^{3} +(-5.15143 - 1.95368i) q^{4} +(-2.69150 - 0.162806i) q^{5} +(2.13570 - 4.23877i) q^{6} +(-3.53808 - 2.13884i) q^{7} +(4.97528 - 8.23013i) q^{8} +(2.52416 + 1.62130i) q^{9} +(1.76833 - 7.17439i) q^{10} +(0.525827 + 2.86934i) q^{11} +(7.60848 + 5.75963i) q^{12} +(-2.65147 + 2.44330i) q^{13} +(7.51281 - 8.48021i) q^{14} +(4.39373 + 1.58341i) q^{15} +(11.4785 + 10.1691i) q^{16} +(-3.31896 + 0.818051i) q^{17} +(-5.61697 + 6.00290i) q^{18} +(0.242011 - 0.242011i) q^{19} +(13.5470 + 6.09701i) q^{20} +(4.83685 + 5.28042i) q^{21} -7.99391 q^{22} +1.64075 q^{23} +(-12.2831 + 11.2513i) q^{24} +(2.25413 + 0.273700i) q^{25} +(-5.27606 - 8.35380i) q^{26} +(-3.40421 - 3.92573i) q^{27} +(14.0475 + 17.9304i) q^{28} +(4.84878 - 3.34687i) q^{29} +(-6.43832 + 11.0609i) q^{30} +(-3.28027 - 2.56992i) q^{31} +(-17.9394 + 14.0546i) q^{32} +(0.525681 - 5.02519i) q^{33} +(-0.565582 - 9.35019i) q^{34} +(9.17452 + 6.33271i) q^{35} +(-9.83554 - 13.2834i) q^{36} +(5.05311 - 6.44982i) q^{37} +(0.532785 + 0.771872i) q^{38} +(5.59838 - 2.76733i) q^{39} +(-14.7309 + 21.3414i) q^{40} +(2.16851 + 6.95900i) q^{41} +(-16.6223 + 10.4292i) q^{42} +(3.15977 + 0.383666i) q^{43} +(2.89702 - 15.8085i) q^{44} +(-6.52983 - 4.77467i) q^{45} +(-0.810467 + 4.42257i) q^{46} +(4.24585 + 1.91090i) q^{47} +(-14.1166 - 22.4994i) q^{48} +(4.69028 + 8.93658i) q^{49} +(-1.85119 + 5.94069i) q^{50} +(5.91498 + 0.259329i) q^{51} +(18.4323 - 7.40634i) q^{52} +(1.67762 + 6.80637i) q^{53} +(12.2632 - 7.23674i) q^{54} +(-0.948117 - 7.80845i) q^{55} +(-35.2059 + 18.4775i) q^{56} +(-0.520256 + 0.284165i) q^{57} +(6.62622 + 14.7229i) q^{58} +(0.700863 - 11.5866i) q^{59} +(-19.5405 - 16.7408i) q^{60} +(4.45019 + 1.09687i) q^{61} +(8.54742 - 7.57236i) q^{62} +(-5.46298 - 11.1351i) q^{63} +(-14.7690 - 28.1400i) q^{64} +(7.53422 - 6.14446i) q^{65} +(13.2855 + 3.89919i) q^{66} +(-8.72072 - 3.92488i) q^{67} +(18.6956 + 2.27006i) q^{68} +(-2.72685 - 0.800310i) q^{69} +(-21.6014 + 21.6014i) q^{70} +(-1.13580 - 3.64491i) q^{71} +(25.9019 - 12.7077i) q^{72} +(-13.6946 + 2.50963i) q^{73} +(14.8891 + 16.8064i) q^{74} +(-3.61274 - 1.55437i) q^{75} +(-1.71951 + 0.773890i) q^{76} +(4.27666 - 11.2766i) q^{77} +(4.69383 + 16.4571i) q^{78} +(1.09858 + 2.89673i) q^{79} +(-29.2389 - 29.2389i) q^{80} +(3.74278 + 8.18484i) q^{81} +(-19.8288 + 2.40765i) q^{82} +(9.46029 + 2.94795i) q^{83} +(-14.6004 - 36.6513i) q^{84} +(9.06618 - 1.66144i) q^{85} +(-2.59495 + 8.32750i) q^{86} +(-9.69093 + 3.19724i) q^{87} +(26.2312 + 9.94818i) q^{88} +(-4.55265 + 4.55265i) q^{89} +(16.0954 - 15.2423i) q^{90} +(14.6069 - 2.97349i) q^{91} +(-8.45223 - 3.20551i) q^{92} +(4.19811 + 5.87110i) q^{93} +(-7.24803 + 10.5006i) q^{94} +(-0.690773 + 0.611972i) q^{95} +(36.6699 - 14.6078i) q^{96} +(-7.99387 + 0.483540i) q^{97} +(-26.4049 + 8.22811i) q^{98} +(-3.32479 + 8.09521i) 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 $\left(\mathbb{Z}/507\mathbb{Z}\right)^\times$.

$n$	$170$	$340$
$\chi(n)$	$-1$	$e\left(\frac{3}{52}\right)$

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 $

$2$	−0.493960	+	2.69545i	−0.349282	+	1.90597i	0.0689280	+	0.997622i	$0.478042\pi$
$2$	−0.493960	+	2.69545i	−0.349282	+	1.90597i	−0.418210	+	0.908350i	$0.637343\pi$
$3$	−1.66195	−	0.487770i	−0.959528	−	0.281614i
$3$	−1.66195	−	0.487770i	−0.959528	−	0.281614i
$4$	−5.15143	−	1.95368i	−2.57571	−	0.976840i
$5$	−2.69150	−	0.162806i	−1.20368	−	0.0728090i	−0.553669	−	0.832737i	$-0.686773\pi$
$5$	−2.69150	−	0.162806i	−1.20368	−	0.0728090i	−0.650007	+	0.759928i	$0.725234\pi$
$6$	2.13570	−	4.23877i	0.871894	−	1.73047i
$7$	−3.53808	−	2.13884i	−1.33727	−	0.808406i	−0.345743	−	0.938329i	$-0.612373\pi$
$7$	−3.53808	−	2.13884i	−1.33727	−	0.808406i	−0.991524	+	0.129923i	$0.958527\pi$
$8$	4.97528	−	8.23013i	1.75903	−	2.90979i
$9$	2.52416	+	1.62130i	0.841387	+	0.540433i
$10$	1.76833	−	7.17439i	0.559194	−	2.26874i
$11$	0.525827	+	2.86934i	0.158543	+	0.865139i	0.962669	+	0.270681i	$0.0872489\pi$
$11$	0.525827	+	2.86934i	0.158543	+	0.865139i	−0.804126	+	0.594458i	$0.797367\pi$
$12$	7.60848	+	5.75963i	2.19638	+	1.66266i
$13$	−2.65147	+	2.44330i	−0.735386	+	0.677648i
$13$	−2.65147	+	2.44330i	−0.735386	+	0.677648i
$14$	7.51281	−	8.48021i	2.00788	−	2.26643i
$15$	4.39373	+	1.58341i	1.13446	+	0.408834i
$16$	11.4785	+	10.1691i	2.86964	+	2.54227i
$17$	−3.31896	+	0.818051i	−0.804967	+	0.198407i	−0.620269	−	0.784389i	$-0.712977\pi$
$17$	−3.31896	+	0.818051i	−0.804967	+	0.198407i	−0.184698	+	0.982795i	$0.559131\pi$
$18$	−5.61697	+	6.00290i	−1.32393	+	1.41490i
$19$	0.242011	−	0.242011i	0.0555211	−	0.0555211i	−0.678801	−	0.734322i	$-0.737500\pi$
$19$	0.242011	−	0.242011i	0.0555211	−	0.0555211i	0.734322	+	0.678801i	$0.237500\pi$
$20$	13.5470	+	6.09701i	3.02920	+	1.36333i
$21$	4.83685	+	5.28042i	1.05549	+	1.15228i
$22$	−7.99391			−1.70431
$23$	1.64075			0.342121			0.171061	−	0.985261i	$-0.445281\pi$
$23$	1.64075			0.342121			0.171061	+	0.985261i	$0.445281\pi$
$24$	−12.2831	+	11.2513i	−2.50727	+	2.29666i
$25$	2.25413	+	0.273700i	0.450825	+	0.0547401i
$26$	−5.27606	−	8.35380i	−1.03472	−	1.63832i
$27$	−3.40421	−	3.92573i	−0.655141	−	0.755507i
$28$	14.0475	+	17.9304i	2.65474	+	3.38852i
$29$	4.84878	−	3.34687i	0.900395	−	0.621498i	−0.0253367	−	0.999679i	$-0.508066\pi$
$29$	4.84878	−	3.34687i	0.900395	−	0.621498i	0.925732	+	0.378181i	$0.123450\pi$
$30$	−6.43832	+	11.0609i	−1.17547	+	2.01944i
$31$	−3.28027	−	2.56992i	−0.589153	−	0.461572i	0.277333	−	0.960774i	$-0.410550\pi$
$31$	−3.28027	−	2.56992i	−0.589153	−	0.461572i	−0.866486	+	0.499202i	$0.833627\pi$
$32$	−17.9394	+	14.0546i	−3.17127	+	2.48453i
$33$	0.525681	−	5.02519i	0.0915092	−	0.874773i
$34$	−0.565582	−	9.35019i	−0.0969966	−	1.60354i
$35$	9.17452	+	6.33271i	1.55078	+	1.07042i
$36$	−9.83554	−	13.2834i	−1.63926	−	2.21390i
$37$	5.05311	−	6.44982i	0.830727	−	1.06034i	−0.166509	−	0.986040i	$-0.553250\pi$
$37$	5.05311	−	6.44982i	0.830727	−	1.06034i	0.997236	−	0.0743041i	$-0.0236736\pi$
$38$	0.532785	+	0.771872i	0.0864291	+	0.125214i
$39$	5.59838	−	2.76733i	0.896459	−	0.443127i
$40$	−14.7309	+	21.3414i	−2.32916	+	3.37437i
$41$	2.16851	+	6.95900i	0.338665	+	1.08681i	0.954317	+	0.298795i	$0.0965848\pi$
$41$	2.16851	+	6.95900i	0.338665	+	1.08681i	−0.615653	+	0.788018i	$0.711107\pi$
$42$	−16.6223	+	10.4292i	−2.56488	+	1.60926i
$43$	3.15977	+	0.383666i	0.481861	+	0.0585085i	0.357863	−	0.933774i	$-0.383505\pi$
$43$	3.15977	+	0.383666i	0.481861	+	0.0585085i	0.123998	+	0.992283i	$0.460428\pi$
$44$	2.89702	−	15.8085i	0.436742	−	2.38322i
$45$	−6.52983	−	4.77467i	−0.973409	−	0.711766i
$46$	−0.810467	+	4.42257i	−0.119497	+	0.652073i
$47$	4.24585	+	1.91090i	0.619321	+	0.278734i	0.695686	−	0.718346i	$-0.255101\pi$
$47$	4.24585	+	1.91090i	0.619321	+	0.278734i	−0.0763646	+	0.997080i	$0.524331\pi$
$48$	−14.1166	−	22.4994i	−2.03755	−	3.24751i
$49$	4.69028	+	8.93658i	0.670040	+	1.27665i
$50$	−1.85119	+	5.94069i	−0.261798	+	0.840140i
$51$	5.91498	+	0.259329i	0.828262	+	0.0363134i
$52$	18.4323	−	7.40634i	2.55610	−	1.02707i
$53$	1.67762	+	6.80637i	0.230439	+	0.934927i	0.966222	+	0.257710i	$0.0829679\pi$
$53$	1.67762	+	6.80637i	0.230439	+	0.934927i	−0.735784	+	0.677217i	$0.763186\pi$
$54$	12.2632	−	7.23674i	1.66880	−	0.984795i
$55$	−0.948117	−	7.80845i	−0.127844	−	1.05289i
$56$	−35.2059	+	18.4775i	−4.70458	+	2.46916i
$57$	−0.520256	+	0.284165i	−0.0689095	+	0.0376385i
$58$	6.62622	+	14.7229i	0.870065	+	1.93321i
$59$	0.700863	−	11.5866i	0.0912446	−	1.50845i	−0.608211	−	0.793776i	$-0.708112\pi$
$59$	0.700863	−	11.5866i	0.0912446	−	1.50845i	0.699455	−	0.714677i	$-0.253426\pi$
$60$	−19.5405	−	16.7408i	−2.52267	−	2.16122i
$61$	4.45019	+	1.09687i	0.569789	+	0.140440i	0.513676	−	0.857984i	$-0.328283\pi$
$61$	4.45019	+	1.09687i	0.569789	+	0.140440i	0.0561127	+	0.998424i	$0.482129\pi$
$62$	8.54742	−	7.57236i	1.08552	−	0.961690i
$63$	−5.46298	−	11.1351i	−0.688270	−	1.40289i
$64$	−14.7690	−	28.1400i	−1.84613	−	3.51750i
$65$	7.53422	−	6.14446i	0.934505	−	0.762126i
$66$	13.2855	+	3.89919i	1.63533	+	0.479957i
$67$	−8.72072	−	3.92488i	−1.06541	−	0.479500i	−0.199599	−	0.979878i	$-0.563964\pi$
$67$	−8.72072	−	3.92488i	−1.06541	−	0.479500i	−0.865807	+	0.500377i	$0.833195\pi$
$68$	18.6956	+	2.27006i	2.26718	+	0.275285i
$69$	−2.72685	−	0.800310i	−0.328275	−	0.0963461i
$70$	−21.6014	+	21.6014i	−2.58186	+	2.58186i
$71$	−1.13580	−	3.64491i	−0.134795	−	0.432572i	0.862502	−	0.506054i	$-0.168896\pi$
$71$	−1.13580	−	3.64491i	−0.134795	−	0.432572i	−0.997297	+	0.0734824i	$0.976589\pi$
$72$	25.9019	−	12.7077i	3.05257	−	1.49762i
$73$	−13.6946	+	2.50963i	−1.60284	+	0.293731i	−0.905928	−	0.423431i	$-0.860826\pi$
$73$	−13.6946	+	2.50963i	−1.60284	+	0.293731i	−0.696907	+	0.717161i	$0.745441\pi$
$74$	14.8891	+	16.8064i	1.73083	+	1.95370i
$75$	−3.61274	−	1.55437i	−0.417164	−	0.179483i
$76$	−1.71951	+	0.773890i	−0.197242	+	0.0887713i
$77$	4.27666	−	11.2766i	0.487370	−	1.28509i
$78$	4.69383	+	16.4571i	0.531471	+	1.86340i
$79$	1.09858	+	2.89673i	0.123600	+	0.325907i	0.982507	−	0.186225i	$-0.0596252\pi$
$79$	1.09858	+	2.89673i	0.123600	+	0.325907i	−0.858907	+	0.512132i	$0.828856\pi$
$80$	−29.2389	−	29.2389i	−3.26901	−	3.26901i
$81$	3.74278	+	8.18484i	0.415865	+	0.909427i
$82$	−19.8288	+	2.40765i	−2.18972	+	0.265881i
$83$	9.46029	+	2.94795i	1.03840	+	0.323579i	0.768865	−	0.639411i	$-0.220822\pi$
$83$	9.46029	+	2.94795i	1.03840	+	0.323579i	0.269537	+	0.962990i	$0.413129\pi$
$84$	−14.6004	−	36.6513i	−1.59304	−	3.99899i
$85$	9.06618	−	1.66144i	0.983365	−	0.180208i
$86$	−2.59495	+	8.32750i	−0.279821	+	0.897977i
$87$	−9.69093	+	3.19724i	−1.03898	+	0.342781i
$88$	26.2312	+	9.94818i	2.79625	+	1.06048i
$89$	−4.55265	+	4.55265i	−0.482580	+	0.482580i	−0.905955	−	0.423375i	$-0.860845\pi$
$89$	−4.55265	+	4.55265i	−0.482580	+	0.482580i	0.423375	+	0.905955i	$0.360845\pi$
$90$	16.0954	−	15.2423i	1.69660	−	1.60668i
$91$	14.6069	−	2.97349i	1.53122	−	0.311706i
$92$	−8.45223	−	3.20551i	−0.881206	−	0.334197i
$93$	4.19811	+	5.87110i	0.435324	+	0.608805i
$94$	−7.24803	+	10.5006i	−0.747577	+	1.08305i
$95$	−0.690773	+	0.611972i	−0.0708718	+	0.0627870i
$96$	36.6699	−	14.6078i	3.74260	−	1.49090i
$97$	−7.99387	+	0.483540i	−0.811655	+	0.0490961i	−0.460990	−	0.887405i	$-0.652506\pi$
$97$	−7.99387	+	0.483540i	−0.811655	+	0.0490961i	−0.350664	+	0.936501i	$0.614044\pi$
$98$	−26.4049	+	8.22811i	−2.66730	+	0.831165i
$99$	−3.32479	+	8.09521i	−0.334154	+	0.813599i
$100$	−11.0772	−	5.81379i	−1.10772	−	0.581379i
$101$	−0.909750	+	7.49246i	−0.0905235	+	0.745528i	0.874802	+	0.484480i	$0.160991\pi$
$101$	−0.909750	+	7.49246i	−0.0905235	+	0.745528i	−0.965326	+	0.261048i	$0.915932\pi$
$102$	−3.62077	+	15.8154i	−0.358510	+	1.56596i
$103$	6.46126	−	12.3109i	0.636647	−	1.21303i	−0.326791	−	0.945097i	$-0.605967\pi$
$103$	6.46126	−	12.3109i	0.636647	−	1.21303i	0.963438	−	0.267933i	$-0.0863405\pi$
$104$	6.91680	+	33.9780i	0.678248	+	3.33182i
$105$	−12.1587	−	14.9997i	−1.18657	−	1.46382i
$106$	−19.1749	+	1.15987i	−1.86243	+	0.112656i
$107$	−2.39160	−	2.69956i	−0.231204	−	0.260976i	0.621447	−	0.783456i	$-0.286545\pi$
$107$	−2.39160	−	2.69956i	−0.231204	−	0.260976i	−0.852651	+	0.522480i	$0.825007\pi$
$108$	9.86694	+	26.8738i	0.949447	+	2.58594i
$109$	−0.470282	−	0.600270i	−0.0450448	−	0.0574955i	0.764136	−	0.645055i	$-0.223166\pi$
$109$	−0.470282	−	0.600270i	−0.0450448	−	0.0574955i	−0.809181	+	0.587560i	$0.800089\pi$
$110$	21.5156	+	1.30146i	2.05143	+	0.124089i
$111$	−11.5441	+	8.25453i	−1.09571	+	0.783485i
$112$	−18.8619	−	60.5298i	−1.78228	−	5.71953i
$113$	−4.25477	−	8.10678i	−0.400255	−	0.762622i	0.599019	−	0.800735i	$-0.295558\pi$
$113$	−4.25477	−	8.10678i	−0.400255	−	0.762622i	−0.999273	+	0.0381132i	$0.987865\pi$
$114$	−0.508966	−	1.54269i	−0.0476691	−	0.144486i
$115$	−4.41609	−	0.267124i	−0.411803	−	0.0249095i
$116$	−31.5168	+	7.76820i	−2.92626	+	0.721259i
$117$	−10.6541	+	1.86844i	−0.984968	+	0.172738i
$118$	30.8850	+	7.61248i	2.84320	+	0.700785i
$119$	13.4924	+	4.20441i	1.23685	+	0.385418i
$120$	34.8917	−	28.2830i	3.18516	−	2.58188i
$121$	2.32854	−	0.883100i	0.211686	−	0.0802818i
$122$	−5.15479	+	11.4535i	−0.466693	+	1.03695i
$123$	−0.209571	−	12.6233i	−0.0188964	−	1.13820i
$124$	11.8772	+	19.6474i	1.06661	+	1.76439i
$125$	7.23884	+	1.32657i	0.647462	+	0.118652i
$126$	32.7125	−	9.22491i	2.91426	−	0.821821i
$127$	12.2185	−	4.63385i	1.08421	−	0.411188i	0.253185	−	0.967418i	$-0.418522\pi$
$127$	12.2185	−	4.63385i	1.08421	−	0.411188i	0.831028	+	0.556230i	$0.187753\pi$
$128$	39.6304	−	12.3493i	3.50286	−	1.09154i
$129$	−5.06425	−	2.17888i	−0.445882	−	0.191839i
$130$	12.8405	+	23.3432i	1.12618	+	2.04734i
$131$	11.3914	−	7.86290i	0.995269	−	0.686985i	0.0451852	−	0.998979i	$-0.485612\pi$
$131$	11.3914	−	7.86290i	0.995269	−	0.686985i	0.950084	+	0.311994i	$0.100997\pi$
$132$	−12.5256	+	24.8599i	−1.09021	+	2.16378i
$133$	−1.37388	+	0.338630i	−0.119130	+	0.0293629i
$134$	14.8870	−	21.5676i	1.28604	−	1.86315i
$135$	8.52331	+	11.1203i	0.733570	+	0.957085i
$136$	−9.78013	+	31.3855i	−0.838639	+	2.69129i
$137$	8.76324	+	11.1855i	0.748694	+	0.955637i	0.999924	−	0.0122898i	$-0.00391208\pi$
$137$	8.76324	+	11.1855i	0.748694	+	0.955637i	−0.251230	+	0.967927i	$0.580835\pi$
$138$	3.50415	−	6.95478i	0.298293	−	0.592030i
$139$	1.09059	+	0.966180i	0.0925027	+	0.0819503i	0.708107	−	0.706105i	$-0.249549\pi$
$139$	1.09059	+	0.966180i	0.0925027	+	0.0819503i	−0.615604	+	0.788056i	$0.711088\pi$
$140$	−34.8898	−	50.5466i	−2.94873	−	4.27197i
$141$	−6.12432	−	5.24683i	−0.515761	−	0.441862i
$142$	10.3857	−	1.26106i	0.871551	−	0.105825i
$143$	−8.40487	−	6.32323i	−0.702850	−	0.528775i
$144$	12.4865	+	44.2786i	1.04055	+	3.68988i
$145$	−13.5954	+	8.21869i	−1.12903	+	0.682525i
$146$		−	38.1529i		−	3.15755i
$147$	−3.43602	−	17.1399i	−0.283398	−	1.41368i
$148$	−38.6316	+	23.3536i	−3.17550	+	1.91966i
$149$	−1.96392	+	4.36366i	−0.160891	+	0.357485i	−0.974656	−	0.223709i	$-0.928183\pi$
$149$	−1.96392	+	4.36366i	−0.160891	+	0.357485i	0.813765	+	0.581194i	$0.197414\pi$
$150$	5.97428	−	8.97018i	0.487798	−	0.732412i
$151$	10.8247	−	4.87179i	0.880899	−	0.396461i	0.0810843	−	0.996707i	$-0.474162\pi$
$151$	10.8247	−	4.87179i	0.880899	−	0.396461i	0.799815	+	0.600247i	$0.204931\pi$
$152$	−0.787707	−	3.19585i	−0.0638915	−	0.259218i
$153$	−9.70391	−	3.31614i	−0.784514	−	0.268094i
$154$	28.2831	+	17.0977i	2.27911	+	1.37777i
$155$	8.41044	+	7.45100i	0.675543	+	0.598478i
$156$	−34.2461	+	3.31826i	−2.74189	+	0.265673i
$157$	13.7062	−	12.1426i	1.09387	−	0.969088i	0.0942250	−	0.995551i	$-0.469963\pi$
$157$	13.7062	−	12.1426i	1.09387	−	0.969088i	0.999650	+	0.0264625i	$0.00842424\pi$
$158$	−8.35064	+	1.53031i	−0.664341	+	0.121745i
$159$	0.531820	−	12.1301i	0.0421760	−	0.961983i
$160$	50.5721	−	34.9074i	3.99808	−	2.75967i
$161$	−5.80512	−	3.50932i	−0.457507	−	0.276573i
$162$	−23.9106	+	6.04551i	−1.87860	+	0.474980i
$163$	2.11677	−	2.70185i	0.165798	−	0.211625i	−0.697141	−	0.716935i	$-0.745545\pi$
$163$	2.11677	−	2.70185i	0.165798	−	0.211625i	0.862938	+	0.505309i	$0.168622\pi$
$164$	2.42472	−	40.0854i	0.189339	−	3.13014i
$165$	−2.23300	+	13.4397i	−0.173839	+	1.04628i
$166$	−12.6190	+	24.0436i	−0.979428	+	1.86614i
$167$	−13.7510	−	2.51997i	−1.06409	−	0.195001i	−0.380434	−	0.924808i	$-0.624226\pi$
$167$	−13.7510	−	2.51997i	−1.06409	−	0.195001i	−0.683654	+	0.729807i	$0.739610\pi$
$168$	67.5232	−	13.5363i	5.20953	−	1.04435i
$169$	1.06061	−	12.9567i	0.0815856	−	0.996666i
$170$			25.2581i			1.93721i
$171$	1.00325	−	0.218503i	0.0767202	−	0.0167093i
$172$	−15.5278	−	8.14961i	−1.18398	−	0.621402i
$173$	−2.14694	+	5.66102i	−0.163229	+	0.430399i	−0.991529	−	0.129885i	$-0.958539\pi$
$173$	−2.14694	+	5.66102i	−0.163229	+	0.430399i	0.828300	+	0.560285i	$0.189308\pi$
$174$	−3.83109	−	27.7007i	−0.290434	−	2.09999i
$175$	−7.38987	−	5.78959i	−0.558622	−	0.437652i
$176$	−23.1429	+	38.2831i	−1.74446	+	2.88569i
$177$	−6.81641	+	18.9146i	−0.512353	+	1.42171i
$178$	−10.0226	−	14.5203i	−0.751228	−	1.08834i
$179$	10.9725	+	2.70447i	0.820121	+	0.202142i	0.626986	−	0.779030i	$-0.284288\pi$
$179$	10.9725	+	2.70447i	0.820121	+	0.202142i	0.193135	+	0.981172i	$0.438134\pi$
$180$	24.3097	+	37.3536i	1.81194	+	2.78417i
$181$	4.47715	+	5.05366i	0.332784	+	0.375636i	0.890956	−	0.454090i	$-0.150035\pi$
$181$	4.47715	+	5.05366i	0.332784	+	0.375636i	−0.558172	+	0.829725i	$0.688497\pi$
$182$	0.799651	+	40.8411i	0.0592741	+	3.02734i
$183$	−6.86098	−	3.99362i	−0.507178	−	0.295217i
$184$	8.16322	−	13.5036i	0.601801	−	0.995500i
$185$	−14.6505	+	16.5370i	−1.07713	+	1.21583i
$186$	−17.8990	+	8.41571i	−1.31242	+	0.617070i
$187$	−4.09247	−	9.09309i	−0.299271	−	0.664953i
$188$	−18.1389	−	18.1389i	−1.32292	−	1.32292i
$189$	3.64785	+	21.1706i	0.265342	+	1.53993i
$190$	−1.30833	−	2.16423i	−0.0949159	−	0.157010i
$191$			9.55503i			0.691377i	0.938349	+	0.345689i	$0.112355\pi$
$191$			9.55503i			0.691377i	−0.938349	+	0.345689i	$0.887645\pi$
$192$	10.8195	+	53.9712i	0.780833	+	3.89504i
$193$	−6.64875	−	10.9984i	−0.478588	−	0.791681i	0.519437	−	0.854509i	$-0.326142\pi$
$193$	−6.64875	−	10.9984i	−0.478588	−	0.791681i	−0.998024	+	0.0628281i	$0.979988\pi$
$194$	2.64529	−	21.7859i	0.189921	−	1.56414i
$195$	−15.5186	+	6.53682i	−1.11131	+	0.468111i
$196$	−6.70243	−	55.1995i	−0.478745	−	3.94282i
$197$	−7.64469	+	5.98923i	−0.544662	+	0.426715i	−0.850968	−	0.525218i	$-0.823984\pi$
$197$	−7.64469	+	5.98923i	−0.544662	+	0.426715i	0.306306	+	0.951933i	$0.400907\pi$
$198$	−20.1779	−	12.9605i	−1.43398	−	0.921064i
$199$	6.00325	−	6.77627i	0.425559	−	0.480357i	−0.496151	−	0.868236i	$-0.665254\pi$
$199$	6.00325	−	6.77627i	0.425559	−	0.480357i	0.921710	+	0.387879i	$0.126792\pi$
$200$	13.4675	−	17.1900i	0.952296	−	1.21552i
$201$	12.5790	+	10.7767i	0.887253	+	0.760127i
$202$	−19.7462	−	6.15316i	−1.38934	−	0.432935i
$203$	−24.3138	+	1.47071i	−1.70649	+	0.103224i
$204$	−29.9639	−	12.8919i	−2.09789	−	0.902612i
$205$	−4.70359	−	19.0832i	−0.328513	−	1.33283i
$206$	29.9918	+	23.4971i	2.08963	+	1.63712i
$207$	4.14153	+	2.66015i	0.287856	+	0.184893i
$208$	−55.2812	+	1.08238i	−3.83306	+	0.0750497i
$209$	0.821668	+	0.567156i	0.0568359	+	0.0392310i
$210$	46.4369	−	25.3639i	3.20445	−	1.75028i
$211$	3.14607	+	8.29551i	0.216585	+	0.571086i	0.998641	−	0.0521214i	$-0.0165983\pi$
$211$	3.14607	+	8.29551i	0.216585	+	0.571086i	−0.782056	+	0.623208i	$0.785829\pi$
$212$	4.65533	−	38.3401i	0.319729	−	2.63321i
$213$	0.109767	+	6.61168i	0.00752112	+	0.453025i
$214$	8.45787	−	5.11296i	0.578168	−	0.349515i
$215$	−8.44207	−	1.54707i	−0.575744	−	0.105509i
$216$	−49.2462	+	8.48548i	−3.35078	+	0.577364i
$217$	6.10917	+	16.1086i	0.414717	+	1.09352i
$218$	1.85030	−	0.971112i	0.125318	−	0.0657720i
$219$	23.9839	+	2.50894i	1.62068	+	0.169538i
$220$	−10.3710	+	42.0770i	−0.699215	+	2.83683i
$221$	6.80140	−	10.2783i	0.457512	−	0.691390i
$222$	−16.5474	−	35.1938i	−1.11059	−	2.36206i
$223$	1.26144	−	20.8541i	0.0844723	−	1.39649i	−0.671070	−	0.741394i	$-0.734165\pi$
$223$	1.26144	−	20.8541i	0.0844723	−	1.39649i	0.755543	−	0.655100i	$-0.227373\pi$
$224$	93.5317	−	11.3568i	6.24935	−	0.758809i
$225$	5.24603	+	4.34547i	0.349735	+	0.289698i
$226$	23.9531	−	7.46410i	1.59334	−	0.496504i
$227$	−16.1248	+	7.25717i	−1.07024	+	0.481675i	−0.867438	−	0.497545i	$-0.834235\pi$
$227$	−16.1248	+	7.25717i	−1.07024	+	0.481675i	−0.202800	+	0.979220i	$0.565004\pi$
$228$	3.23523	−	0.447441i	0.214258	−	0.0296325i
$229$	4.85350	−	3.80247i	0.320728	−	0.251274i	−0.443422	−	0.896313i	$-0.646236\pi$
$229$	4.85350	−	3.80247i	0.320728	−	0.251274i	0.764150	+	0.645039i	$0.223159\pi$
$230$	2.90139	−	11.7714i	0.191312	−	0.776184i
$231$	−12.6080	+	16.6552i	−0.829544	+	1.09583i
$232$	−3.42111	−	56.5576i	−0.224607	−	3.71319i
$233$	−9.33495	+	4.89936i	−0.611553	+	0.320968i	−0.741910	−	0.670499i	$-0.766080\pi$
$233$	−9.33495	+	4.89936i	−0.611553	+	0.320968i	0.130357	+	0.991467i	$0.458388\pi$
$234$	0.226374	−	29.6404i	0.0147986	−	1.93766i
$235$	−11.1166	−	5.83445i	−0.725168	−	0.380597i
$236$	−26.2470	+	58.3185i	−1.70854	+	3.79621i
$237$	−0.412856	−	5.35007i	−0.0268179	−	0.347524i
$238$	−17.9975	+	34.2914i	−1.16661	+	2.22278i
$239$	0.755682	+	0.755682i	0.0488810	+	0.0488810i	0.731125	−	0.682244i	$-0.238996\pi$
$239$	0.755682	+	0.755682i	0.0488810	+	0.0488810i	−0.682244	+	0.731125i	$0.738996\pi$
$240$	34.3318	+	62.8555i	2.21611	+	4.05730i
$241$	0.635301	+	10.5028i	0.0409233	+	0.676543i	0.959571	+	0.281466i	$0.0908206\pi$
$241$	0.635301	+	10.5028i	0.0409233	+	0.676543i	−0.918648	+	0.395077i	$0.870718\pi$
$242$	1.23015	+	6.71269i	0.0790768	+	0.431508i
$243$	−2.22800	−	15.4284i	−0.142927	−	0.989733i
$244$	−20.7819	−	14.3447i	−1.33043	−	0.918327i
$245$	−11.1690	−	24.8164i	−0.713559	−	1.58546i
$246$	34.1289	+	5.67049i	2.17598	+	0.361537i
$247$	−0.0503810	+	1.23299i	−0.00320567	+	0.0784532i
$248$	−37.4710	+	14.2109i	−2.37941	+	0.902393i
$249$	−14.2846	−	9.51379i	−0.905251	−	0.602912i
$250$	−7.15139	+	18.8567i	−0.452294	+	1.19260i
$251$	1.65030	+	13.5914i	0.104166	+	0.857884i	0.947337	+	0.320239i	$0.103763\pi$
$251$	1.65030	+	13.5914i	0.104166	+	0.857884i	−0.843171	+	0.537646i	$0.819314\pi$
$252$	6.38779	+	68.0344i	0.402393	+	4.28576i
$253$	0.862752	+	4.70789i	0.0542408	+	0.295982i
$254$	6.45489	+	35.2232i	0.405016	+	2.21010i
$255$	−15.8779	−	1.66098i	−0.994315	−	0.104014i
$256$	6.04982	+	49.8247i	0.378113	+	3.11404i
$257$	−10.1247	+	26.6965i	−0.631559	+	1.66528i	0.109619	+	0.993974i	$0.465037\pi$
$257$	−10.1247	+	26.6965i	−0.631559	+	1.66528i	−0.741177	+	0.671309i	$0.765732\pi$
$258$	8.37459	−	12.5742i	0.521379	−	0.782833i
$259$	−31.6734	+	12.0122i	−1.96809	+	0.746399i
$260$	−50.8163	+	16.9333i	−3.15149	+	1.05016i
$261$	17.6654	−	0.586723i	1.09346	−	0.0363172i
$262$	15.5672	+	34.5889i	0.961744	+	2.13691i
$263$	5.36524	+	3.70336i	0.330835	+	0.228359i	0.721889	−	0.692009i	$-0.243274\pi$
$263$	5.36524	+	3.70336i	0.330835	+	0.228359i	−0.391054	+	0.920368i	$0.627889\pi$
$264$	−38.7425	−	29.3282i	−2.38444	−	1.80502i
$265$	−3.40720	−	18.5925i	−0.209302	−	1.14213i
$266$	−0.234121	−	3.87049i	−0.0143549	−	0.237315i
$267$	9.78693	−	5.34564i	0.598950	−	0.327148i
$268$	37.2562	+	37.2562i	2.27579	+	2.27579i
$269$	11.5527	−	22.0118i	0.704380	−	1.34208i	−0.225509	−	0.974241i	$-0.572404\pi$
$269$	11.5527	−	22.0118i	0.704380	−	1.34208i	0.929888	−	0.367842i	$-0.119903\pi$
$270$	−34.1845	+	17.4812i	−2.08040	+	1.06387i
$271$	−11.2341	+	24.9612i	−0.682423	+	1.51628i	0.165526	+	0.986205i	$0.447068\pi$
$271$	−11.2341	+	24.9612i	−0.682423	+	1.51628i	−0.847950	+	0.530077i	$0.822163\pi$
$272$	−46.4157	−	24.3608i	−2.81437	−	1.47709i
$273$	−25.7264	−	2.18303i	−1.55703	−	0.132123i
$274$	−34.4785	+	18.0957i	−2.08292	+	1.09320i
$275$	0.399939	+	6.61178i	0.0241172	+	0.398705i
$276$	12.4836	+	9.45014i	0.751427	+	0.568832i
$277$	6.76681	−	27.4540i	0.406578	−	1.64955i	−0.309031	−	0.951052i	$-0.600005\pi$
$277$	6.76681	−	27.4540i	0.406578	−	1.64955i	0.715609	−	0.698501i	$-0.246149\pi$
$278$	−3.14300	+	2.46238i	−0.188505	+	0.147684i
$279$	−4.11331	−	11.8052i	−0.246257	−	0.706758i
$280$	97.7649	−	44.0004i	5.84257	−	2.62953i
$281$	3.37039	−	1.05025i	0.201060	−	0.0626530i	−0.195319	−	0.980740i	$-0.562574\pi$
$281$	3.37039	−	1.05025i	0.201060	−	0.0626530i	0.396379	+	0.918087i	$0.370267\pi$
$282$	17.1677	−	13.9161i	1.02232	−	0.828691i
$283$	13.5480	−	1.64503i	0.805347	−	0.0977868i	0.292498	−	0.956266i	$-0.405513\pi$
$283$	13.5480	−	1.64503i	0.805347	−	0.0977868i	0.512848	+	0.858479i	$0.328590\pi$
$284$	−1.26999	+	20.9955i	−0.0753603	+	1.24585i
$285$	1.44653	−	0.680128i	0.0856852	−	0.0402873i
$286$	21.1956	−	19.5315i	1.25332	−	1.15492i
$287$	7.21184	−	29.2596i	0.425701	−	1.72714i
$288$	−68.0688	+	6.39102i	−4.01099	+	0.376595i
$289$	−4.70644	+	2.47013i	−0.276849	+	0.145302i
$290$	−15.4375	−	40.7054i	−0.906522	−	2.39030i
$291$	13.5213	+	3.09555i	0.792632	+	0.181464i
$292$	75.4499	+	13.8267i	4.41537	+	0.809147i
$293$	11.0404	−	6.67416i	0.644988	−	0.389909i	−0.156705	−	0.987645i	$-0.550087\pi$
$293$	11.0404	−	6.67416i	0.644988	−	0.389909i	0.801692	+	0.597737i	$0.203933\pi$
$294$	47.8971	−	0.795189i	2.79342	−	0.0463763i
$295$	−3.77274	+	31.0713i	−0.219658	+	1.80904i
$296$	−27.9422	−	73.6774i	−1.62411	−	4.28241i
$297$	9.47423	−	11.8321i	0.549751	−	0.686568i
$298$	−10.7919	−	7.44914i	−0.625160	−	0.431517i
$299$	−4.35042	+	4.00885i	−0.251591	+	0.231838i
$300$	15.5740	+	15.0654i	0.899168	+	0.869800i
$301$	−10.3589	−	8.11570i	−0.597078	−	0.467781i
$302$	7.78472	+	31.5838i	0.447960	+	1.81745i
$303$	5.16656	−	12.0084i	0.296811	−	0.689862i
$304$	5.23896	−	0.316899i	0.300475	−	0.0181754i
$305$	−11.7991	−	3.67676i	−0.675616	−	0.210530i
$306$	13.7318	−	24.5184i	0.784996	−	1.40162i
$307$	−15.7943	+	20.1599i	−0.901427	+	1.15059i	0.0865905	+	0.996244i	$0.472403\pi$
$307$	−15.7943	+	20.1599i	−0.901427	+	1.15059i	−0.988017	+	0.154342i	$0.950674\pi$
$308$	−44.0618	+	49.7355i	−2.51065	+	2.83394i
$309$	−16.7432	+	17.3085i	−0.952487	+	0.984647i
$310$	−24.2382	+	18.9894i	−1.37664	+	1.07853i
$311$	−1.90156	−	15.6608i	−0.107828	−	0.888040i	−0.941786	−	0.336213i	$-0.890854\pi$
$311$	−1.90156	−	15.6608i	−0.107828	−	0.888040i	0.833958	−	0.551827i	$-0.186069\pi$
$312$	5.07808	−	59.8436i	0.287489	−	3.38798i
$313$	−1.64085	+	13.5136i	−0.0927465	+	0.763836i	0.869929	+	0.493177i	$0.164165\pi$
$313$	−1.64085	+	13.5136i	−0.0927465	+	0.763836i	−0.962675	+	0.270659i	$0.912759\pi$
$314$	25.9596	+	42.9424i	1.46498	+	2.42338i
$315$	12.8908	+	30.8594i	0.726312	+	1.73873i
$316$		−	17.0686i		−	0.960181i
$317$	0.320480	+	0.530139i	0.0180000	+	0.0297756i	0.864652	−	0.502372i	$-0.167539\pi$
$317$	0.320480	+	0.530139i	0.0180000	+	0.0297756i	−0.846652	+	0.532147i	$0.821385\pi$
$318$	32.4335	+	7.42530i	1.81878	+	0.416390i
$319$	12.1529	+	12.1529i	0.680433	+	0.680433i
$320$	35.1695	+	78.1434i	1.96603	+	4.36835i
$321$	2.65796	+	5.65308i	0.148353	+	0.315524i
$322$	12.3267	−	13.9139i	0.686939	−	0.775394i
$323$	−0.605248	+	1.00120i	−0.0336769	+	0.0557084i
$324$	−3.29013	−	49.4758i	−0.182785	−	2.74866i
$325$	−6.64548	+	4.78179i	−0.368625	+	0.265246i
$326$	6.23711	+	7.04024i	0.345442	+	0.389923i
$327$	0.488792	+	1.22701i	0.0270302	+	0.0678538i
$328$	68.0624	+	16.7759i	3.75812	+	0.926293i
$329$	−10.9350	−	15.8421i	−0.602868	−	0.873405i
$330$	−35.1231	−	12.6576i	−1.93346	−	0.696779i
$331$	14.7180	−	24.3466i	0.808977	−	1.33821i	−0.129046	−	0.991639i	$-0.541192\pi$
$331$	14.7180	−	24.3466i	0.808977	−	1.33821i	0.938023	−	0.346573i	$-0.112655\pi$
$332$	−42.9747	−	33.6685i	−2.35854	−	1.84780i
$333$	23.2120	−	8.08779i	1.27201	−	0.443208i
$334$	13.5849	−	35.8205i	0.743334	−	1.96001i
$335$	22.8328	+	11.9836i	1.24749	+	0.654734i
$336$	1.82287	+	109.798i	0.0994454	+	5.98997i
$337$			5.56322i			0.303048i	0.988454	+	0.151524i	$0.0484181\pi$
$337$			5.56322i			0.303048i	−0.988454	+	0.151524i	$0.951582\pi$
$338$	34.4002	+	9.25890i	1.87112	+	0.503618i
$339$	3.11697	+	15.5484i	0.169291	+	0.844474i
$340$	−49.9497	−	9.15362i	−2.70890	−	0.496425i
$341$	5.64914	−	10.7635i	0.305918	−	0.582878i
$342$	0.0933998	+	2.81213i	0.00505048	+	0.152063i
$343$	0.771997	−	12.7626i	0.0416839	−	0.689117i
$344$	18.8784	−	24.0965i	1.01785	−	1.29920i
$345$	7.20903	+	2.59798i	0.388121	+	0.139871i
$346$	−14.1985	−	8.58329i	−0.763316	−	0.461441i
$347$	28.1028	−	19.3980i	1.50864	−	1.04134i	0.527161	−	0.849766i	$-0.323257\pi$
$347$	28.1028	−	19.3980i	1.50864	−	1.04134i	0.981478	−	0.191573i	$-0.0613588\pi$
$348$	56.1685	+	2.46259i	3.01095	+	0.132008i
$349$	4.37197	−	0.801194i	0.234026	−	0.0428869i	−0.0619619	−	0.998079i	$-0.519736\pi$
$349$	4.37197	−	0.801194i	0.234026	−	0.0428869i	0.295988	+	0.955192i	$0.404351\pi$
$350$	19.2559	−	17.0592i	1.02927	−	0.911853i
$351$	18.6179	+	2.09146i	0.993749	+	0.111634i
$352$	−49.7606	−	44.0840i	−2.65225	−	2.34969i
$353$	−4.89307	−	2.95796i	−0.260432	−	0.157437i	0.381098	−	0.924535i	$-0.375546\pi$
$353$	−4.89307	−	2.95796i	−0.260432	−	0.157437i	−0.641530	+	0.767098i	$0.721700\pi$
$354$	−47.6163	−	27.7163i	−2.53078	−	1.47311i
$355$	2.46360	+	9.99521i	0.130754	+	0.530490i
$356$	32.3471	−	14.5582i	1.71439	−	0.771585i
$357$	−20.3730	−	13.5687i	−1.07825	−	0.718133i
$358$	−12.7097	+	28.2399i	−0.671730	+	1.49252i
$359$	8.76369	−	5.29784i	0.462530	−	0.279609i	−0.266824	−	0.963745i	$-0.585974\pi$
$359$	8.76369	−	5.29784i	0.462530	−	0.279609i	0.729354	+	0.684136i	$0.239821\pi$
$360$	−71.7839	+	29.9859i	−3.78334	+	1.58040i
$361$			18.8829i			0.993835i
$362$	−15.8334	+	9.57164i	−0.832187	+	0.503074i
$363$	−4.30067	+	0.331876i	−0.225727	+	0.0174190i
$364$	−81.0558	−	13.2196i	−4.24848	−	0.692893i
$365$	37.2677	−	4.52512i	1.95068	−	0.236855i
$366$	14.1537	−	16.5208i	0.739824	−	0.863554i
$367$	8.72217	+	12.6362i	0.455293	+	0.659606i	0.981658	−	0.190653i	$-0.0610605\pi$
$367$	8.72217	+	12.6362i	0.455293	+	0.659606i	−0.526364	+	0.850259i	$0.676445\pi$
$368$	18.8335	+	16.6850i	0.981763	+	0.869766i
$369$	−5.80894	+	21.0814i	−0.302401	+	1.09746i
$370$	−37.3380	−	47.6584i	−1.94111	−	2.47764i
$371$	8.62220	−	27.6696i	0.447642	−	1.43654i
$372$	−10.1560	−	38.4463i	−0.526565	−	1.99335i
$373$	10.9119	−	15.8086i	0.564998	−	0.818541i	−0.431504	−	0.902111i	$-0.642017\pi$
$373$	10.9119	−	15.8086i	0.564998	−	0.818541i	0.996502	+	0.0835703i	$0.0266323\pi$
$374$	26.5315	−	6.53943i	1.37191	−	0.338146i
$375$	−11.3835	−	5.73558i	−0.587843	−	0.296184i
$376$	36.8513	−	25.4366i	1.90046	−	1.31179i
$377$	−4.67901	+	20.7211i	−0.240981	+	1.06719i
$378$	−58.8662	−	0.624817i	−3.02775	−	0.0321371i
$379$	3.44436	−	1.07331i	0.176925	−	0.0551320i	−0.207761	−	0.978180i	$-0.566618\pi$
$379$	3.44436	−	1.07331i	0.176925	−	0.0551320i	0.384686	+	0.923048i	$0.374310\pi$
$380$	4.75406	−	1.80298i	0.243878	−	0.0924909i
$381$	−22.5667	+	1.74144i	−1.15613	+	0.0892166i
$382$	−25.7551	−	4.71980i	−1.31775	−	0.241486i
$383$	−1.40117	−	2.31782i	−0.0715965	−	0.118435i	0.817932	−	0.575315i	$-0.195121\pi$
$383$	−1.40117	−	2.31782i	−0.0715965	−	0.118435i	−0.889528	+	0.456880i	$0.848967\pi$
$384$	−71.8874	+	1.19347i	−3.66849	+	0.0609042i
$385$	−13.3465	+	29.6548i	−0.680202	+	1.51135i
$386$	32.9298	−	12.4886i	1.67608	−	0.635655i
$387$	7.35374	+	6.09137i	0.373812	+	0.309642i
$388$	42.1246	+	13.1265i	2.13855	+	0.666399i
$389$	−11.2394	−	2.77026i	−0.569859	−	0.140458i	−0.0561504	−	0.998422i	$-0.517883\pi$
$389$	−11.2394	−	2.77026i	−0.569859	−	0.140458i	−0.513709	+	0.857965i	$0.671729\pi$
$390$	−9.95412	−	45.0585i	−0.504047	−	2.28163i
$391$	−5.44561	+	1.34222i	−0.275396	+	0.0678791i
$392$	96.8847	+	5.86044i	4.89342	+	0.295997i
$393$	−22.7672	+	7.51139i	−1.14845	+	0.378899i
$394$	−12.3675	−	23.5643i	−0.623066	−	1.18715i
$395$	−2.48523	−	7.97539i	−0.125046	−	0.401286i
$396$	32.9429	−	35.2063i	1.65544	−	1.76918i
$397$	25.1387	+	1.52061i	1.26168	+	0.0763174i	0.677631	−	0.735402i	$-0.263007\pi$
$397$	25.1387	+	1.52061i	1.26168	+	0.0763174i	0.584047	+	0.811720i	$0.301468\pi$
$398$	15.2997	+	19.5287i	0.766907	+	0.978885i
$399$	2.44849	+	0.107349i	0.122578	+	0.00537415i
$400$	23.0908	+	26.0641i	1.15454	+	1.30321i
$401$	−12.7779	+	0.772922i	−0.638099	+	0.0385979i	−0.376261	−	0.926514i	$-0.622790\pi$
$401$	−12.7779	+	0.772922i	−0.638099	+	0.0385979i	−0.261838	+	0.965112i	$0.584329\pi$
$402$	−35.2615	+	28.5828i	−1.75868	+	1.42558i
$403$	14.9766	−	1.20058i	0.746038	−	0.0598050i
$404$	19.3244	−	36.8195i	0.961424	−	1.83184i
$405$	−8.74116	−	22.6388i	−0.434352	−	1.12493i
$406$	8.04579	−	66.2630i	0.399306	−	3.28858i
$407$	21.1638	+	11.1076i	1.04905	+	0.550584i
$408$	31.5630	−	47.3908i	1.56260	−	2.34619i
$409$	7.13745	−	2.22412i	0.352924	−	0.109976i	−0.115915	−	0.993259i	$-0.536980\pi$
$409$	7.13745	−	2.22412i	0.352924	−	0.109976i	0.468839	+	0.883284i	$0.344672\pi$
$410$	53.7612	−	3.25195i	2.65508	−	0.160603i
$411$	−9.10815	−	22.8641i	−0.449272	−	1.12780i
$412$	−57.3363	+	50.7955i	−2.82476	+	2.50252i
$413$	−27.2617	+	39.4954i	−1.34146	+	1.94344i
$414$	−9.21606	+	9.84928i	−0.452945	+	0.484066i
$415$	−24.9824	−	9.47459i	−1.22634	−	0.465089i
$416$	13.2262	−	81.0968i	0.648470	−	3.97610i
$417$	−1.34124	−	2.13770i	−0.0656806	−	0.104684i
$418$	−1.93461	+	1.93461i	−0.0946250	+	0.0946250i
$419$	−32.8201	−	12.4470i	−1.60337	−	0.608078i	−0.619188	−	0.785243i	$-0.712538\pi$
$419$	−32.8201	−	12.4470i	−1.60337	−	0.608078i	−0.984181	+	0.177165i	$0.943307\pi$
$420$	33.3300	+	101.024i	1.62634	+	4.92947i
$421$	−1.84040	+	5.90605i	−0.0896956	+	0.287843i	−0.988658	−	0.150182i	$-0.952014\pi$
$421$	−1.84040	+	5.90605i	−0.0896956	+	0.287843i	0.898963	+	0.438025i	$0.144322\pi$
$422$	−23.9142	+	4.38244i	−1.16412	+	0.213334i
$423$	7.61907	+	11.7072i	0.370452	+	0.569225i
$424$	64.3639	+	20.0566i	3.12579	+	0.974035i
$425$	−7.70526	+	0.935588i	−0.373760	+	0.0453827i
$426$	−17.8757	−	2.97003i	−0.866079	−	0.143898i
$427$	−13.3991	−	13.3991i	−0.648427	−	0.648427i
$428$	7.04608	+	18.5790i	0.340585	+	0.898049i
$429$	10.8842	+	14.6085i	0.525494	+	0.705307i
$430$	8.34009	−	21.9910i	0.402195	−	1.06050i
$431$	23.9341	−	10.7719i	1.15286	−	0.518862i	0.258416	−	0.966034i	$-0.416799\pi$
$431$	23.9341	−	10.7719i	1.15286	−	0.518862i	0.894448	+	0.447171i	$0.147569\pi$
$432$	0.845733	−	79.6794i	0.0406903	−	3.83358i
$433$	26.3311	+	29.7216i	1.26539	+	1.42833i	0.856830	+	0.515598i	$0.172430\pi$
$433$	26.3311	+	29.7216i	1.26539	+	1.42833i	0.408559	+	0.912732i	$0.366031\pi$
$434$	−46.4375	+	8.50999i	−2.22907	+	0.408493i
$435$	26.6037	−	7.02765i	1.27555	−	0.336950i
$436$	1.24989	+	4.01103i	0.0598588	+	0.192094i
$437$	0.397080	−	0.397080i	0.0189949	−	0.0189949i
$438$	−18.6098	+	63.4082i	−0.889211	+	3.02976i
$439$	4.69208	+	0.569722i	0.223941	+	0.0271914i	0.231738	−	0.972778i	$-0.425559\pi$
$439$	4.69208	+	0.569722i	0.223941	+	0.0271914i	−0.00779702	+	0.999970i	$0.502482\pi$
$440$	−68.9816	−	31.0461i	−3.28857	−	1.48007i
$441$	−2.64984	+	30.1617i	−0.126183	+	1.43627i
$442$	24.3449	+	23.4099i	1.15797	+	1.11349i
$443$	9.42867	+	17.9648i	0.447969	+	0.853535i	0.999808	+	0.0195837i	$0.00623408\pi$
$443$	9.42867	+	17.9648i	0.447969	+	0.853535i	−0.551839	+	0.833951i	$0.686074\pi$
$444$	75.5951	−	19.9693i	3.58758	−	0.947699i
$445$	12.9947	−	11.5123i	0.616006	−	0.545734i
$446$	55.5881	+	13.7012i	2.63217	+	0.648772i
$447$	5.39241	−	6.29425i	0.255052	−	0.297708i
$448$	−7.93312	+	131.150i	−0.374805	+	6.19626i
$449$	9.84266	+	21.8695i	0.464504	+	1.03209i	0.984091	+	0.177667i	$0.0568551\pi$
$449$	9.84266	+	21.8695i	0.464504	+	1.03209i	−0.519587	+	0.854418i	$0.673914\pi$
$450$	−14.3043	+	11.9939i	−0.674313	+	0.565399i
$451$	−18.8275	+	9.88143i	−0.886552	+	0.465298i
$452$	6.08008	+	50.0740i	0.285983	+	2.35528i
$453$	−20.3664	+	2.81673i	−0.956896	+	0.132341i
$454$	−11.5964	−	47.0483i	−0.544244	−	2.20809i
$455$	−39.7987	+	5.62505i	−1.86579	+	0.263706i
$456$	−0.249710	+	5.69557i	−0.0116937	+	0.266719i
$457$	−0.542016	+	1.73939i	−0.0253545	+	0.0813653i	−0.966531	−	0.256550i	$-0.917414\pi$
$457$	−0.542016	+	1.73939i	−0.0253545	+	0.0813653i	0.941176	+	0.337915i	$0.109722\pi$
$458$	7.85194	+	14.9606i	0.366897	+	0.699064i
$459$	14.5099	+	10.2445i	0.677264	+	0.478174i
$460$	22.2273	+	10.0037i	1.03635	+	0.466425i
$461$	1.49823	−	8.17558i	0.0697796	−	0.380775i	−0.930129	−	0.367234i	$-0.880305\pi$
$461$	1.49823	−	8.17558i	0.0697796	−	0.380775i	0.999908	−	0.0135411i	$-0.00431041\pi$
$462$	−38.6653	−	42.2112i	−1.79887	−	1.96384i
$463$	2.35699	−	12.8617i	0.109539	−	0.597734i	−0.882347	−	0.470600i	$-0.844038\pi$
$463$	2.35699	−	12.8617i	0.109539	−	0.597734i	0.991886	−	0.127134i	$-0.0405779\pi$
$464$	89.6915	+	10.8905i	4.16382	+	0.505580i
$465$	−10.3434	−	16.4855i	−0.479662	−	0.764499i
$466$	−8.59490	−	27.5820i	−0.398151	−	1.27771i
$467$	14.8663	−	21.5376i	0.687931	−	0.996640i	−0.311000	−	0.950410i	$-0.600664\pi$
$467$	14.8663	−	21.5376i	0.687931	−	0.996640i	0.998931	−	0.0462303i	$-0.0147208\pi$
$468$	58.5340	+	11.1894i	2.70573	+	0.517232i
$469$	22.4599	+	32.5388i	1.03710	+	1.50250i
$470$	21.2176	−	27.0823i	0.978696	−	1.24921i
$471$	−28.7019	+	13.4950i	−1.32251	+	0.621817i
$472$	−91.8725	−	63.4150i	−4.22878	−	2.91891i
$473$	0.560624	+	9.26822i	0.0257775	+	0.426153i
$474$	14.6248	+	1.52989i	0.671739	+	0.0702700i
$475$	0.611761	−	0.479284i	0.0280695	−	0.0219911i
$476$	−61.2912	−	48.0186i	−2.80928	−	2.20093i
$477$	−6.80057	+	19.9003i	−0.311377	+	0.911172i
$478$	−2.41018	+	1.66363i	−0.110239	+	0.0760926i
$479$	−22.4125	−	28.6075i	−1.02406	−	1.30711i	−0.950803	−	0.309797i	$-0.899739\pi$
$479$	−22.4125	−	28.6075i	−1.02406	−	1.30711i	−0.0732525	−	0.997313i	$-0.523338\pi$
$480$	−101.075	+	33.3469i	−4.61343	+	1.52207i
$481$	2.36063	+	29.4478i	0.107636	+	1.34270i
$482$	−28.6235	−	3.47553i	−1.30377	−	0.158306i
$483$	7.93608	+	8.66387i	0.361104	+	0.394220i
$484$	−13.7206			−0.623665
$485$	21.5942			0.980544
$486$	42.6871	+	1.61554i	1.93633	+	0.0732824i
$487$	17.7001	+	7.96616i	0.802067	+	0.360981i	0.769628	−	0.638493i	$-0.220442\pi$
$487$	17.7001	+	7.96616i	0.802067	+	0.360981i	0.0324393	+	0.999474i	$0.489672\pi$
$488$	31.1684	−	31.1684i	1.41093	−	1.41093i
$489$	−4.83584	+	3.45785i	−0.218684	+	0.156369i
$490$	72.4085	−	17.8471i	3.27108	−	0.806249i
$491$	24.8705	+	22.0333i	1.12239	+	0.994350i	0.999998	+	0.00186858i	$0.000594789\pi$
$491$	24.8705	+	22.0333i	1.12239	+	0.994350i	0.122391	+	0.992482i	$0.460944\pi$
$492$	−23.5822	+	65.4372i	−1.06317	+	2.95014i
$493$	−13.3550	+	15.0747i	−0.601479	+	0.678930i
$494$	−3.29858	−	0.744847i	−0.148410	−	0.0335122i
$495$	10.2666	−	21.2470i	0.461450	−	0.954980i
$496$	−11.5188	−	62.8563i	−0.517212	−	2.82233i
$497$	−3.77734	+	15.3253i	−0.169437	+	0.687433i
$498$	32.7000	−	33.8041i	1.46532	−	1.51480i
$499$	5.07786	−	8.39980i	0.227316	−	0.376027i	−0.721215	−	0.692712i	$-0.756416\pi$
$499$	5.07786	−	8.39980i	0.227316	−	0.376027i	0.948531	+	0.316685i	$0.102570\pi$
$500$	−34.6987	−	20.9761i	−1.55177	−	0.938079i
$501$	21.6244	+	10.8954i	0.966107	+	0.486771i
$502$	−37.4503	−	2.26532i	−1.67149	−	0.101106i
$503$	1.83064	+	0.694271i	0.0816242	+	0.0309560i	0.395079	−	0.918647i	$-0.370717\pi$
$503$	1.83064	+	0.694271i	0.0816242	+	0.0309560i	−0.313455	+	0.949603i	$0.601486\pi$
$504$	−118.823	−	10.4391i	−5.29279	−	0.464995i
$505$	3.66841	−	20.0179i	0.163242	−	0.890783i
$506$	−13.1160			−0.583079
$507$	−8.08255	+	21.0160i	−0.358959	+	0.933353i
$508$	−71.9956			−3.19429
$509$	−5.39802	+	29.4560i	−0.239263	+	1.30562i	0.616134	+	0.787641i	$0.288698\pi$
$509$	−5.39802	+	29.4560i	−0.239263	+	1.30562i	−0.855397	+	0.517974i	$0.826687\pi$
$510$	12.3201	−	41.9778i	0.545545	−	1.85881i
$511$	53.8204	+	20.4114i	2.38087	+	0.902946i
$512$	−54.4201	−	3.29181i	−2.40505	−	0.145479i
$513$	−1.77392	−	0.126213i	−0.0783207	−	0.00557242i
$514$	−66.9580	−	40.4775i	−2.95339	−	1.78539i
$515$	−19.3948	+	32.0829i	−0.854636	+	1.41374i
$516$	21.8313	+	21.1182i	0.961069	+	0.929679i
$517$	−3.25045	+	13.1876i	−0.142955	+	0.579990i
$518$	−16.7328	−	91.3078i	−0.735196	−	4.01183i
$519$	6.32939	−	8.36113i	0.277829	−	0.367013i
$520$	−13.0848	−	92.5780i	−0.573804	−	4.05981i
$521$	20.8872	−	23.5768i	0.915084	−	1.03292i	−0.0842506	−	0.996445i	$-0.526850\pi$
$521$	20.8872	−	23.5768i	0.915084	−	1.03292i	0.999335	−	0.0364718i	$-0.0116119\pi$
$522$	−7.14450	+	47.9059i	−0.312706	+	2.09679i
$523$	−22.8323	−	20.2277i	−0.998388	−	0.884495i	−0.00508006	−	0.999987i	$-0.501617\pi$
$523$	−22.8323	−	20.2277i	−0.998388	−	0.884495i	−0.993308	+	0.115492i	$0.963156\pi$
$524$	−74.0435	+	18.2501i	−3.23460	+	0.797258i
$525$	9.45761	+	13.2266i	0.412764	+	0.577255i
$526$	−12.6324	+	12.6324i	−0.550801	+	0.550801i
$527$	12.9894	+	5.84606i	0.565828	+	0.254658i
$528$	57.1357	−	52.3361i	2.48651	−	2.27764i
$529$	−20.3079			−0.882953
$530$	51.7981			2.24997
$531$	20.5545	−	28.1102i	0.891989	−	1.21988i
$532$	7.73900	+	0.939684i	0.335528	+	0.0407405i
$533$	−22.7526	−	13.1533i	−0.985526	−	0.569732i
$534$	9.57456	+	29.0207i	0.414332	+	1.25585i
$535$	5.99748	+	7.65522i	0.259294	+	0.330964i
$536$	−75.6903	+	52.2453i	−3.26932	+	2.25665i
$537$	−16.9166	−	9.84674i	−0.730003	−	0.424918i
$538$	53.6252	+	42.0126i	2.31195	+	1.81129i
$539$	−23.1758	+	18.1571i	−0.998254	+	0.782082i
$540$	−22.1817	−	73.9374i	−0.954547	−	3.18176i
$541$	−0.780655	−	12.9058i	−0.0335630	−	0.554862i	−0.975628	−	0.219432i	$-0.929580\pi$
$541$	−0.780655	−	12.9058i	−0.0335630	−	0.554862i	0.942065	−	0.335431i	$-0.108882\pi$
$542$	−61.7324	−	42.6108i	−2.65163	−	1.83029i
$543$	−4.97579	−	10.5828i	−0.213531	−	0.454150i
$544$	48.0429	−	61.3222i	2.05982	−	2.62917i
$545$	1.16804	+	1.69219i	0.0500332	+	0.0724856i
$546$	18.5921	−	68.2659i	0.795667	−	2.92151i
$547$	1.54580	−	2.23948i	0.0660937	−	0.0957533i	−0.788543	−	0.614979i	$-0.789164\pi$
$547$	1.54580	−	2.23948i	0.0660937	−	0.0957533i	0.854637	+	0.519226i	$0.173780\pi$
$548$	−23.2904	−	74.7416i	−0.994918	−	3.19280i
$549$	9.45465	+	9.98378i	0.403514	+	0.426097i
$550$	−18.0193	−	2.18794i	−0.768345	−	0.0932939i
$551$	0.363478	−	1.98343i	0.0154847	−	0.0844971i
$552$	−20.1535	+	18.4606i	−0.857791	+	0.785734i
$553$	2.30877	−	12.5985i	0.0981788	−	0.535744i
$554$	70.6585	+	31.8008i	3.00199	+	1.35109i
$555$	32.4147	−	20.3376i	1.37593	−	0.863285i
$556$	−3.73050	−	7.10787i	−0.158208	−	0.301441i
$557$	2.40326	−	7.71234i	0.101829	−	0.326782i	−0.889721	−	0.456505i	$-0.849101\pi$
$557$	2.40326	−	7.71234i	0.101829	−	0.326782i	0.991550	+	0.129723i	$0.0414087\pi$
$558$	33.8521	−	5.25592i	1.43307	−	0.222501i
$559$	−9.31546	+	6.70298i	−0.394002	+	0.283506i
$560$	40.9121	+	165.987i	1.72885	+	7.01423i
$561$	2.36615	+	17.1085i	0.0998988	+	0.722320i
$562$	1.16608	+	9.60350i	0.0491879	+	0.405099i
$563$	8.51804	−	4.47061i	0.358992	−	0.188414i	−0.275578	−	0.961279i	$-0.588869\pi$
$563$	8.51804	−	4.47061i	0.358992	−	0.188414i	0.634571	+	0.772865i	$0.281177\pi$
$564$	21.2984	+	38.9936i	0.896823	+	1.64193i
$565$	10.1319	+	22.5121i	0.426251	+	0.947092i
$566$	−2.25809	+	37.3306i	−0.0949145	+	1.56912i
$567$	4.26383	−	36.9638i	0.179064	−	1.55233i
$568$	−35.6490	−	8.78670i	−1.49580	−	0.368682i
$569$	5.70293	−	5.05235i	0.239079	−	0.211806i	−0.535072	−	0.844806i	$-0.679716\pi$
$569$	5.70293	−	5.05235i	0.239079	−	0.211806i	0.774151	+	0.633001i	$0.218177\pi$
$570$	1.11872	+	4.23501i	0.0468582	+	0.177385i
$571$	5.62043	+	10.7088i	0.235208	+	0.448151i	0.974238	−	0.225521i	$-0.0724085\pi$
$571$	5.62043	+	10.7088i	0.235208	+	0.448151i	−0.739031	+	0.673672i	$0.764716\pi$
$572$	30.9435	+	48.9941i	1.29381	+	2.04855i
$573$	4.66065	−	15.8800i	0.194702	−	0.663396i
$574$	75.3054	+	33.8922i	3.14319	+	1.41463i
$575$	3.69847	+	0.449075i	0.154237	+	0.0187277i
$576$	8.34398	−	94.9750i	0.347666	−	3.95729i
$577$	−2.73695	+	2.73695i	−0.113941	+	0.113941i	−0.761778	−	0.647838i	$-0.775673\pi$
$577$	−2.73695	+	2.73695i	−0.113941	+	0.113941i	0.647838	+	0.761778i	$0.275673\pi$
$578$	−4.33332	−	13.9061i	−0.180242	−	0.578418i
$579$	5.68523	+	21.5218i	0.236270	+	0.894417i
$580$	86.0923	−	15.7770i	3.57479	−	0.655104i
$581$	−27.1660	−	30.6641i	−1.12704	−	1.27216i
$582$	−15.0229	+	34.9169i	−0.622718	+	1.44735i
$583$	−18.6477	+	8.39264i	−0.772308	+	0.347587i
$584$	−47.4801	+	125.195i	−1.96474	+	5.18059i
$585$	28.9796	−	3.29438i	1.19816	−	0.136206i
$586$	12.5364	+	33.0557i	0.517872	+	1.36552i
$587$	12.4478	+	12.4478i	0.513774	+	0.513774i	0.915681	−	0.401906i	$-0.131652\pi$
$587$	12.4478	+	12.4478i	0.513774	+	0.513774i	−0.401906	+	0.915681i	$0.631652\pi$
$588$	−15.7855	+	95.0081i	−0.650984	+	3.91807i
$589$	−1.41581	+	0.171910i	−0.0583374	+	0.00708344i
$590$	−81.8877	−	25.5172i	−3.37126	−	1.05053i
$591$	15.6265	−	6.22496i	0.642787	−	0.256061i
$592$	123.591	−	22.6489i	5.07957	−	0.930865i
$593$	−7.55375	+	24.2408i	−0.310195	+	0.995451i	0.659618	+	0.751601i	$0.270718\pi$
$593$	−7.55375	+	24.2408i	−0.310195	+	0.995451i	−0.969813	+	0.243850i	$0.921590\pi$
$594$	27.2130	+	31.3819i	1.11656	+	1.28762i
$595$	−35.6304	−	13.5128i	−1.46070	−	0.553972i
$596$	18.6422	−	18.6422i	0.763615	−	0.763615i
$597$	−13.2824	+	8.33363i	−0.543611	+	0.341073i
$598$	−8.65673	−	13.7065i	−0.354000	−	0.560502i
$599$	−35.8988	−	13.6146i	−1.46679	−	0.556279i	−0.513432	−	0.858130i	$-0.671626\pi$
$599$	−35.8988	−	13.6146i	−1.46679	−	0.556279i	−0.953355	+	0.301851i	$0.902395\pi$
$600$	−30.7671	+	21.9999i	−1.25606	+	0.898142i
$601$	9.91913	−	14.3703i	0.404610	−	0.586178i	−0.566721	−	0.823910i	$-0.691788\pi$
$601$	9.91913	−	14.3703i	0.404610	−	0.586178i	0.971331	+	0.237731i	$0.0764038\pi$
$602$	26.9924	−	23.9131i	1.10013	−	0.974627i
$603$	−15.6491	−	24.0459i	−0.637281	−	0.979226i
$604$	−65.2804	+	3.94874i	−2.65622	+	0.160672i
$605$	−6.41105	+	1.99776i	−0.260646	+	0.0812207i
$606$	29.8159	+	19.8578i	1.21119	+	0.806670i
$607$	5.03143	+	2.64070i	0.204219	+	0.107183i	0.563732	−	0.825957i	$-0.309365\pi$
$607$	5.03143	+	2.64070i	0.204219	+	0.107183i	−0.359513	+	0.933140i	$0.617057\pi$
$608$	−0.940159	+	7.74291i	−0.0381285	+	0.314016i
$609$	41.1256	+	9.41527i	1.66650	+	0.381526i
$610$	15.7388	−	29.9878i	0.637246	−	1.21417i
$611$	−15.9267	+	5.30717i	−0.644324	+	0.214705i
$612$	43.5103	+	36.0412i	1.75880	+	1.45688i
$613$	−21.6475	+	1.30943i	−0.874335	+	0.0528875i	−0.491447	−	0.870907i	$-0.663532\pi$
$613$	−21.6475	+	1.30943i	−0.874335	+	0.0528875i	−0.382888	+	0.923795i	$0.625070\pi$
$614$	−46.5383	−	52.5309i	−1.87813	−	2.11997i
$615$	−1.49108	+	34.0096i	−0.0601260	+	1.37140i
$616$	−71.5304	−	91.3018i	−2.88204	−	3.67865i
$617$	34.0632	+	2.06044i	1.37133	+	0.0829503i	0.729545	−	0.683932i	$-0.239732\pi$
$617$	34.0632	+	2.06044i	1.37133	+	0.0829503i	0.641787	+	0.766883i	$0.278193\pi$
$618$	−38.3838	−	53.6801i	−1.54402	−	2.15933i
$619$	−12.2503	−	39.3127i	−0.492382	−	1.58011i	−0.782199	−	0.623029i	$-0.785902\pi$
$619$	−12.2503	−	39.3127i	−0.492382	−	1.58011i	0.289817	−	0.957082i	$-0.406406\pi$
$620$	−28.7689	−	54.8146i	−1.15539	−	2.20141i
$621$	−5.58548	−	6.44116i	−0.224137	−	0.258475i
$622$	43.1521	+	2.61022i	1.73024	+	0.104660i
$623$	25.8450	−	6.37023i	1.03546	−	0.255218i
$624$	92.4025	+	25.1656i	3.69906	+	1.00743i
$625$	−30.2909	−	7.46603i	−1.21163	−	0.298641i
$626$	−35.6148	−	11.0980i	−1.42346	−	0.443567i
$627$	−1.08893	−	1.34337i	−0.0434877	−	0.0536491i
$628$	−94.3294	+	35.7744i	−3.76415	+	1.42755i
$629$	−11.4948	+	25.5404i	−0.458328	+	1.01836i
$630$	−89.5476	+	19.5031i	−3.56766	+	0.777021i
$631$	−7.55462	−	12.4969i	−0.300745	−	0.497492i	0.668460	−	0.743748i	$-0.266954\pi$
$631$	−7.55462	−	12.4969i	−0.300745	−	0.497492i	−0.969205	+	0.246256i	$0.920800\pi$
$632$	29.3062	+	5.37056i	1.16574	+	0.213629i
$633$	−1.18232	−	15.3213i	−0.0469929	−	0.608967i
$634$	−1.58727	+	0.601972i	−0.0630385	+	0.0239073i
$635$	−33.6404	+	10.4828i	−1.33498	+	0.415996i
$636$	−26.4380	+	61.4486i	−1.04834	+	2.43659i
$637$	−34.2709	−	12.2354i	−1.35786	−	0.484783i
$638$	−38.7607	+	26.7546i	−1.53455	+	1.05922i
$639$	3.04255	−	11.0418i	0.120361	−	0.436808i
$640$	−108.676	+	26.7862i	−4.29578	+	1.05882i
$641$	24.2023	−	35.0631i	0.955934	−	1.38491i	0.0332105	−	0.999448i	$-0.489427\pi$
$641$	24.2023	−	35.0631i	0.955934	−	1.38491i	0.922724	−	0.385462i	$-0.125958\pi$
$642$	−16.5505	+	4.37200i	−0.653197	+	0.172549i
$643$	9.24954	−	29.6828i	0.364766	−	1.17058i	−0.571891	−	0.820329i	$-0.693790\pi$
$643$	9.24954	−	29.6828i	0.364766	−	1.17058i	0.936658	−	0.350247i	$-0.113902\pi$
$644$	23.0486	+	29.4193i	0.908241	+	1.15928i
$645$	13.2757	+	6.68893i	0.522730	+	0.263377i
$646$	−2.39972	−	2.12597i	−0.0944159	−	0.0836452i
$647$	0.481026	+	0.696887i	0.0189111	+	0.0273975i	0.832325	−	0.554287i	$-0.187009\pi$
$647$	0.481026	+	0.696887i	0.0189111	+	0.0273975i	−0.813414	+	0.581685i	$0.802394\pi$
$648$	85.9837	+	9.91833i	3.37776	+	0.389629i
$649$	33.6146	−	4.08155i	1.31949	−	0.160215i
$650$	−9.60647	−	20.2746i	−0.376797	−	0.795235i
$651$	−2.29587	−	29.7515i	−0.0899824	−	1.16605i
$652$	−16.1829	+	9.78291i	−0.633772	+	0.383128i
$653$		−	15.9236i		−	0.623139i	−0.950223	−	0.311569i	$-0.899145\pi$
$653$		−	15.9236i		−	0.623139i	0.950223	−	0.311569i	$-0.100855\pi$
$654$	−3.54879	+	0.711421i	−0.138769	+	0.0278188i
$655$	−31.9400	+	19.3084i	−1.24800	+	0.754442i
$656$	−45.8754	+	101.931i	−1.79113	+	3.97974i
$657$	−38.6363	−	15.8684i	−1.50735	−	0.619084i
$658$	48.1032	−	21.6495i	1.87526	−	0.843984i
$659$	0.0762736	+	0.309454i	0.00297120	+	0.0120546i	0.972409	−	0.233284i	$-0.0749471\pi$
$659$	0.0762736	+	0.309454i	0.00297120	+	0.0120546i	−0.969438	+	0.245338i	$0.921101\pi$
$660$	37.7600	−	64.8712i	1.46981	−	2.52511i
$661$	10.3189	+	6.23802i	0.401360	+	0.242631i	0.703593	−	0.710603i	$-0.251578\pi$
$661$	10.3189	+	6.23802i	0.401360	+	0.242631i	−0.302232	+	0.953234i	$0.597732\pi$
$662$	58.3550	+	51.6980i	2.26803	+	2.00930i
$663$	−16.3170	+	13.7644i	−0.633700	+	0.534566i
$664$	71.3296	−	63.1925i	2.76813	−	2.45235i
$665$	3.75292	−	0.687748i	0.145532	−	0.0266697i
$666$	10.3345	+	66.5617i	0.400452	+	2.57921i
$667$	7.95565	−	5.49139i	0.308044	−	0.212627i
$668$	65.9143	+	39.8466i	2.55030	+	1.54171i
$669$	−12.2684	+	34.0432i	−0.474326	+	1.31619i
$670$	−43.5797	+	55.6254i	−1.68363	+	2.14900i
$671$	−0.807278	+	13.3459i	−0.0311646	+	0.515213i
$672$	−160.985	−	26.7475i	−6.21012	−	1.03181i
$673$	−9.04296	+	17.2299i	−0.348581	+	0.664165i	−0.995115	−	0.0987198i	$-0.968525\pi$
$673$	−9.04296	+	17.2299i	−0.348581	+	0.664165i	0.646535	+	0.762885i	$0.276218\pi$
$674$	−14.9954	−	2.74801i	−0.577601	−	0.105849i
$675$	−6.59905	−	9.78082i	−0.253997	−	0.376464i
$676$	−30.7768	+	64.6732i	−1.18372	+	2.48743i
$677$		−	37.9453i		−	1.45836i	−0.684324	−	0.729178i	$-0.739902\pi$
$677$		−	37.9453i		−	1.45836i	0.684324	−	0.729178i	$-0.260098\pi$
$678$	−43.4497	+	0.721352i	−1.66867	+	0.0277033i
$679$	29.3172	+	15.3868i	1.12509	+	0.590492i
$680$	31.4330	−	82.8819i	1.20540	−	3.17838i
$681$	30.3384	−	4.19589i	1.16257	−	0.160787i
$682$	26.2221	+	20.5437i	1.00410	+	0.786660i
$683$	−8.22186	+	13.6006i	−0.314601	+	0.520413i	−0.972564	−	0.232637i	$-0.925264\pi$
$683$	−8.22186	+	13.6006i	−0.314601	+	0.520413i	0.657963	+	0.753050i	$0.271418\pi$
$684$	−5.59504	−	0.834421i	−0.213932	−	0.0319049i
$685$	−21.7652	−	31.5324i	−0.831606	−	1.20479i
$686$	34.0197	+	8.38510i	1.29888	+	0.320145i
$687$	−9.92100	+	3.95213i	−0.378510	+	0.150783i
$688$	32.3681	+	36.5360i	1.23402	+	1.39292i
$689$	−21.0781	−	13.9480i	−0.803013	−	0.531376i
$690$	−10.5637	+	18.1483i	−0.402154	+	0.690894i
$691$	23.3894	−	38.6908i	0.889776	−	1.47187i	0.00812505	−	0.999967i	$-0.497414\pi$
$691$	23.3894	−	38.6908i	0.889776	−	1.47187i	0.881651	−	0.471902i	$-0.156432\pi$
$692$	22.1196	−	24.9679i	0.840862	−	0.949137i
$693$	29.0777	−	21.5303i	1.10457	−	0.817867i
$694$	38.4047	+	85.3316i	1.45782	+	3.23914i
$695$	−2.77803	−	2.77803i	−0.105377	−	0.105377i
$696$	−21.9014	+	95.6647i	−0.830170	+	3.62616i
$697$	−12.8900	−	21.3227i	−0.488245	−	0.807656i
$698$			12.1802i			0.461027i
$699$	17.9040	−	3.58919i	0.677191	−	0.135756i
$700$	26.7574	+	44.2621i	1.01133	+	1.67295i
$701$	−1.55830	+	12.8337i	−0.0588560	+	0.484723i	0.933241	+	0.359251i	$0.116968\pi$
$701$	−1.55830	+	12.8337i	−0.0588560	+	0.484723i	−0.992097	+	0.125472i	$0.959955\pi$
$702$	−14.8339	+	49.1505i	−0.559870	+	1.85507i
$703$	−0.338019	−	2.78383i	−0.0127486	−	0.104994i
$704$	72.9774	−	57.1742i	2.75044	−	2.15483i
$705$	15.6294	+	15.1189i	0.588637	+	0.569411i
$706$	10.3900	−	11.7279i	0.391034	−	0.441386i
$707$	19.2440	−	24.5631i	0.723744	−	0.923791i
$708$	72.0673	−	84.1200i	2.70845	−	3.16142i
$709$	30.6785	+	9.55980i	1.15215	+	0.359026i	0.813318	−	0.581820i	$-0.197659\pi$
$709$	30.6785	+	9.55980i	1.15215	+	0.359026i	0.338836	+	0.940845i	$0.389967\pi$
$710$	−28.1585	+	1.70328i	−1.05677	+	0.0639228i
$711$	−1.92346	+	9.09293i	−0.0721352	+	0.341012i
$712$	14.8182	+	60.1196i	0.555334	+	2.25308i
$713$	−5.38211	−	4.21661i	−0.201562	−	0.157913i
$714$	46.6373	−	48.2120i	1.74536	−	1.80429i
$715$	21.5922	+	18.3873i	0.807504	+	0.687648i
$716$	−51.2403	−	35.3686i	−1.91494	−	1.32179i
$717$	−0.887308	−	1.62451i	−0.0331371	−	0.0606683i
$718$	9.95115	+	26.2390i	0.371374	+	0.979232i
$719$	−4.28805	+	35.3152i	−0.159917	+	1.31704i	0.662890	+	0.748716i	$0.269329\pi$
$719$	−4.28805	+	35.3152i	−0.159917	+	1.31704i	−0.822808	+	0.568320i	$0.807594\pi$
$720$	−26.3987	−	121.209i	−0.983823	−	4.51718i
$721$	−49.1915	+	29.7373i	−1.83199	+	1.10748i
$722$	−50.8978	−	9.32737i	−1.89422	−	0.347129i
$723$	4.06710	−	17.7650i	0.151257	−	0.660687i
$724$	−13.1905	−	34.7805i	−0.490221	−	1.29261i
$725$	11.8458	−	6.21715i	0.439942	−	0.230899i
$726$	1.22980	−	11.7562i	0.0456423	−	0.436313i
$727$	−3.02197	+	12.2606i	−0.112079	+	0.454722i	−0.999986	−	0.00530115i	$-0.998313\pi$
$727$	−3.02197	+	12.2606i	−0.112079	+	0.454722i	0.887907	+	0.460023i	$0.152159\pi$
$728$	48.2015	−	135.011i	1.78647	−	5.00384i
$729$	−3.82268	+	26.7280i	−0.141581	+	0.989927i
$730$	−6.21151	+	102.688i	−0.229898	+	3.80067i
$731$	−10.8010	+	1.31148i	−0.399491	+	0.0485069i
$732$	27.5416	+	33.9770i	1.01797	+	1.25583i
$733$	40.5369	−	12.6318i	1.49726	−	0.466566i	0.564005	−	0.825771i	$-0.309260\pi$
$733$	40.5369	−	12.6318i	1.49726	−	0.466566i	0.933259	+	0.359205i	$0.116952\pi$
$734$	−38.3688	+	17.2684i	−1.41622	+	0.637388i
$735$	6.45757	+	46.6916i	0.238191	+	1.72224i
$736$	−29.4342	+	23.0602i	−1.08496	+	0.850011i
$737$	6.67624	−	27.0866i	0.245922	−	0.997746i
$738$	−53.9546	−	26.0711i	−1.98610	−	0.959691i
$739$	0.659383	+	10.9009i	0.0242558	+	0.400996i	0.989960	+	0.141350i	$0.0451443\pi$
$739$	0.659383	+	10.9009i	0.0242558	+	0.400996i	−0.965704	+	0.259646i	$0.916394\pi$
$740$	107.779	−	56.5669i	3.96204	−	2.07944i
$741$	0.685145	−	2.02459i	0.0251694	−	0.0743753i
$742$	70.3231	+	36.9084i	2.58164	+	1.35495i
$743$	6.47131	−	14.3787i	0.237409	−	0.527502i	−0.754219	−	0.656622i	$-0.771985\pi$
$743$	6.47131	−	14.3787i	0.237409	−	0.527502i	0.991629	+	0.129120i	$0.0412153\pi$
$744$	69.2067	−	5.34057i	2.53724	−	0.195795i
$745$	5.99633	−	11.4251i	0.219689	−	0.418582i
$746$	37.2214	+	37.2214i	1.36277	+	1.36277i
$747$	19.0998	+	22.7790i	0.698825	+	0.833442i
$748$	3.31708	+	54.8378i	0.121284	+	2.00507i
$749$	2.68773	+	14.6665i	0.0982076	+	0.535902i
$750$	21.0830	−	27.8506i	0.769842	−	1.01696i
$751$	−14.2206	−	9.81577i	−0.518917	−	0.358182i	0.279637	−	0.960106i	$-0.409786\pi$
$751$	−14.2206	−	9.81577i	−0.518917	−	0.358182i	−0.798554	+	0.601923i	$0.794401\pi$
$752$	29.3040	+	65.1109i	1.06861	+	2.37435i
$753$	3.88678	−	23.3933i	0.141642	−	0.852498i
$754$	−53.5415	−	22.8474i	−1.94987	−	0.832054i
$755$	−29.9278	+	11.3501i	−1.08918	+	0.413073i
$756$	22.5689	−	116.186i	0.820823	−	4.22563i
$757$	8.08378	−	21.3152i	0.293810	−	0.774713i	−0.704101	−	0.710100i	$-0.748650\pi$
$757$	8.08378	−	21.3152i	0.293810	−	0.774713i	0.997910	−	0.0646127i	$-0.0205812\pi$
$758$	1.19167	+	9.81427i	0.0432834	+	0.356470i
$759$	0.862513	−	8.24510i	0.0313072	−	0.299278i
$760$	1.59981	+	8.72988i	0.0580312	+	0.316666i
$761$	−5.59902	−	30.5529i	−0.202964	−	1.10754i	−0.914407	−	0.404797i	$-0.867342\pi$
$761$	−5.59902	−	30.5529i	−0.202964	−	1.10754i	0.711442	−	0.702745i	$-0.248042\pi$
$762$	6.45310	−	61.6877i	0.233771	−	2.23471i
$763$	0.380010	+	3.12966i	0.0137573	+	0.113301i
$764$	18.6675	−	49.2220i	0.675365	−	1.78079i
$765$	25.5782	+	10.5052i	0.924781	+	0.379818i
$766$	6.93969	−	2.63188i	0.250741	−	0.0950936i
$767$	26.4513	+	32.4341i	0.955100	+	1.17113i
$768$	14.2485	−	85.7571i	0.514148	−	3.09449i
$769$	−3.74820	−	8.32817i	−0.135164	−	0.300321i	0.831870	−	0.554971i	$-0.187271\pi$
$769$	−3.74820	−	8.32817i	−0.135164	−	0.300321i	−0.967033	+	0.254650i	$0.918040\pi$
$770$	−73.3403	−	50.6232i	−2.64300	−	1.82433i
$771$	29.8484	−	39.4298i	1.07496	−	1.42003i
$772$	12.7633	+	69.6469i	0.459360	+	2.50665i
$773$	−0.765963	−	12.6629i	−0.0275498	−	0.455452i	−0.985626	−	0.168940i	$-0.945966\pi$
$773$	−0.765963	−	12.6629i	−0.0275498	−	0.455452i	0.958077	−	0.286512i	$-0.0924959\pi$
$774$	−20.0514	+	16.8128i	−0.720734	+	0.604322i
$775$	−6.69074	−	6.69074i	−0.240339	−	0.240339i
$776$	−35.7922	+	68.1963i	−1.28487	+	2.44811i
$777$	58.4989	−	4.51426i	2.09864	−	0.161948i
$778$	13.0189	−	28.9268i	0.466750	−	1.03708i
$779$	2.20896	+	1.15935i	0.0791441	+	0.0415380i
$780$	92.7137	−	3.35562i	3.31968	−	0.120151i
$781$	9.86128	−	5.17560i	0.352864	−	0.185197i
$782$	−0.927982	−	15.3414i	−0.0331846	−	0.548606i
$783$	−29.6452	−	7.64152i	−1.05943	−	0.273086i
$784$	−37.0394	+	150.275i	−1.32284	+	5.36696i
$785$	−38.8672	+	30.4505i	−1.38723	+	1.08682i
$786$	−9.00049	−	65.0782i	−0.321037	−	2.32126i
$787$	28.8156	−	12.9688i	1.02716	−	0.462289i	0.174449	−	0.984666i	$-0.444185\pi$
$787$	28.8156	−	12.9688i	1.02716	−	0.462289i	0.852715	+	0.522377i	$0.174955\pi$
$788$	51.0821	−	15.9178i	1.81973	−	0.567049i
$789$	−7.11038	−	8.77180i	−0.253136	−	0.312285i
$790$	22.7249	−	2.75930i	0.808515	−	0.0981715i
$791$	−2.28543	+	37.7827i	−0.0812606	+	1.34340i
$792$	50.0828	+	67.6394i	1.77961	+	2.40346i
$793$	−14.4796	+	7.96481i	−0.514184	+	0.282839i
$794$	−16.5163	+	67.0091i	−0.586141	+	2.37807i
$795$	−3.40625	+	32.5617i	−0.120807	+	1.15484i
$796$	−44.1640	+	23.1791i	−1.56535	+	0.821560i
$797$	−4.40269	−	11.6090i	−0.155951	−	0.411210i	0.834155	−	0.551531i	$-0.185956\pi$
$797$	−4.40269	−	11.6090i	−0.155951	−	0.411210i	−0.990106	+	0.140320i	$0.955187\pi$
$798$	−1.49881	+	6.54675i	−0.0530572	+	0.231753i
$799$	−15.6551	−	2.86889i	−0.553836	−	0.101494i
$800$	−44.2845	+	26.7709i	−1.56569	+	0.946494i
$801$	−18.8728	+	4.11042i	−0.666839	+	0.145235i
$802$	4.22840	−	34.8240i	0.149310	−	1.22968i
$803$	−14.4020	−	37.9750i	−0.508236	−	1.34011i
$804$	−43.7456	−	80.0905i	−1.54279	−	2.82457i
$805$	15.0531	+	10.3904i	0.530553	+	0.366215i
$806$	−4.16175	+	40.9618i	−0.146591	+	1.44282i
$807$	−29.9367	+	30.9475i	−1.05382	+	1.08940i
$808$	57.1377	+	44.7645i	2.01010	+	1.57481i
$809$	−13.1650	−	53.4123i	−0.462855	−	1.87788i	−0.478658	−	0.878002i	$-0.658877\pi$
$809$	−13.1650	−	53.4123i	−0.462855	−	1.87788i	0.0158028	−	0.999875i	$-0.494970\pi$
$810$	65.3397	−	12.3787i	2.29580	−	0.434943i
$811$	−15.1406	+	0.915837i	−0.531658	+	0.0321594i	−0.324027	−	0.946048i	$-0.605037\pi$
$811$	−15.1406	+	0.915837i	−0.531658	+	0.0321594i	−0.207631	+	0.978207i	$0.566575\pi$
$812$	128.124	+	39.9250i	4.49627	+	1.40109i
$813$	30.8458	−	36.0046i	1.08181	−	1.26274i
$814$	−40.3941	+	51.5593i	−1.41581	+	1.80715i
$815$	−6.13715	+	6.92741i	−0.214975	+	0.242657i
$816$	65.2582	+	63.1267i	2.28449	+	2.20988i
$817$	0.857551	−	0.671848i	0.0300019	−	0.0235050i
$818$	2.46939	+	20.3373i	0.0863402	+	0.711076i
$819$	41.6912	+	16.1766i	1.45681	+	0.565258i
$820$	−13.0523	+	107.495i	−0.455805	+	3.75389i
$821$	21.3443	+	35.3077i	0.744920	+	1.23225i	0.966390	+	0.257081i	$0.0827608\pi$
$821$	21.3443	+	35.3077i	0.744920	+	1.23225i	−0.221470	+	0.975167i	$0.571085\pi$
$822$	66.1282	−	13.2566i	2.30648	−	0.462378i
$823$			36.6145i			1.27630i	0.769912	+	0.638150i	$0.220300\pi$
$823$			36.6145i			1.27630i	−0.769912	+	0.638150i	$0.779700\pi$
$824$	−69.1737	−	114.427i	−2.40978	−	3.98626i
$825$	2.56035	−	11.1835i	0.0891398	−	0.389361i
$826$	−92.9917	−	92.9917i	−3.23560	−	3.23560i
$827$	−12.9015	−	28.6659i	−0.448628	−	0.996810i	−0.987959	−	0.154717i	$-0.950554\pi$
$827$	−12.9015	−	28.6659i	−0.448628	−	0.996810i	0.539331	−	0.842094i	$-0.318677\pi$
$828$	−16.1377	−	21.7948i	−0.560824	−	0.757422i
$829$	13.5500	−	15.2948i	0.470613	−	0.531212i	−0.464495	−	0.885576i	$-0.653764\pi$
$829$	13.5500	−	15.2948i	0.470613	−	0.531212i	0.935108	+	0.354364i	$0.115303\pi$
$830$	37.8786	−	62.6589i	1.31479	−	2.17492i
$831$	−24.6374	+	42.3266i	−0.854660	+	1.46829i
$832$	107.914	+	38.5274i	3.74125	+	1.33570i
$833$	−22.8775	−	25.8233i	−0.792657	−	0.894725i
$834$	6.42458	−	2.55930i	0.222465	−	0.0886213i
$835$	36.6007	+	9.02126i	1.26662	+	0.312194i
$836$	−3.12472	−	4.52694i	−0.108071	−	0.156568i
$837$	1.07790	+	21.6260i	0.0372576	+	0.747504i
$838$	49.7622	−	82.3168i	1.71901	−	2.84359i
$839$	25.6610	+	20.1041i	0.885916	+	0.694071i	0.952770	−	0.303692i	$-0.0982193\pi$
$839$	25.6610	+	20.1041i	0.885916	+	0.694071i	−0.0668540	+	0.997763i	$0.521296\pi$
$840$	−183.942	+	25.4398i	−6.34662	+	0.877755i
$841$	2.02555	−	5.34095i	0.0698467	−	0.184171i
$842$	−15.0104	−	7.87806i	−0.517292	−	0.271496i
$843$	−6.11370	+	0.101500i	−0.210567	+	0.00349583i
$844$		−	48.8801i		−	1.68252i
$845$	−4.96406	+	34.7002i	−0.170769	+	1.19372i
$846$	−35.3198	+	14.7539i	−1.21432	+	0.507251i
$847$	−10.1274	−	1.85591i	−0.347981	−	0.0637699i
$848$	−49.9580	+	95.1871i	−1.71557	+	3.26874i
$849$	−23.3186	−	3.87436i	−0.800291	−	0.132968i
$850$	1.28426	−	21.2313i	0.0440497	−	0.728228i
$851$	8.29092	−	10.5826i	0.284209	−	0.362766i
$852$	12.3516	−	34.2740i	0.423160	−	1.17421i
$853$	5.12494	+	3.09813i	0.175474	+	0.106078i	0.602349	−	0.798233i	$-0.294232\pi$
$853$	5.12494	+	3.09813i	0.175474	+	0.106078i	−0.426875	+	0.904311i	$0.640385\pi$
$854$	42.7352	−	29.4980i	1.46237	−	1.00940i
$855$	−2.73581	+	0.424766i	−0.0935628	+	0.0145267i
$856$	−34.1166	+	6.25209i	−1.16608	+	0.213692i
$857$	36.9968	−	32.7763i	1.26379	−	1.11962i	0.276442	−	0.961031i	$-0.410845\pi$
$857$	36.9968	−	32.7763i	1.26379	−	1.11962i	0.987345	−	0.158587i	$-0.0506939\pi$
$858$	−44.7530	+	22.1218i	−1.52784	+	0.755225i
$859$	−10.1645	−	9.00497i	−0.346809	−	0.307246i	0.471678	−	0.881771i	$-0.343648\pi$
$859$	−10.1645	−	9.00497i	−0.346809	−	0.307246i	−0.818487	+	0.574525i	$0.805187\pi$
$860$	40.4662	+	24.4627i	1.37989	+	0.834171i
$861$	−26.2577	+	45.1103i	−0.894859	+	1.53735i
$862$	17.2125	+	69.8340i	0.586262	+	2.37856i
$863$	−27.8630	+	12.5401i	−0.948466	+	0.426870i	−0.824781	−	0.565452i	$-0.808702\pi$
$863$	−27.8630	+	12.5401i	−0.948466	+	0.426870i	−0.123685	+	0.992322i	$0.539471\pi$
$864$	116.244	+	22.5803i	3.95471	+	0.768198i
$865$	6.70014	−	14.8871i	0.227812	−	0.506177i
$866$	−93.1197	+	56.2928i	−3.16433	+	1.91291i
$867$	9.02672	−	1.80957i	0.306563	−	0.0614564i
$868$		−	94.9174i		−	3.22171i
$869$	−7.73403	+	4.67539i	−0.262359	+	0.158602i
$870$	5.80154	+	75.1803i	0.196691	+	2.54885i
$871$	32.7124	−	10.9006i	1.10842	−	0.369353i
$872$	−7.28009	+	0.883963i	−0.246535	+	0.0299348i
$873$	−20.9618	−	11.7399i	−0.709449	−	0.397336i
$874$	0.874169	+	1.26645i	0.0295692	+	0.0428384i
$875$	−22.7743	−	20.1762i	−0.769911	−	0.682081i
$876$	−118.650	−	59.7815i	−4.00881	−	2.01983i
$877$	28.0944	+	35.8598i	0.948679	+	1.21090i	0.977419	+	0.211312i	$0.0677736\pi$
$877$	28.0944	+	35.8598i	0.948679	+	1.21090i	−0.0287398	+	0.999587i	$0.509149\pi$
$878$	−3.85336	+	12.3659i	−0.130045	+	0.417328i
$879$	−21.6041	+	5.70695i	−0.728687	+	0.192491i
$880$	68.5219	−	99.2711i	2.30987	−	3.34643i
$881$	39.5339	−	9.74424i	1.33193	−	0.328292i	0.491817	−	0.870699i	$-0.336333\pi$
$881$	39.5339	−	9.74424i	1.33193	−	0.328292i	0.840116	+	0.542407i	$0.182487\pi$
$882$	−79.9905	−	22.0412i	−2.69342	−	0.742166i
$883$	−23.9172	+	16.5089i	−0.804878	+	0.555567i	−0.897953	−	0.440092i	$-0.854946\pi$
$883$	−23.9172	+	16.5089i	−0.804878	+	0.555567i	0.0930745	+	0.995659i	$0.470331\pi$
$884$	−55.1173	+	39.6599i	−1.85380	+	1.33391i
$885$	21.4258	−	49.7988i	0.720220	−	1.67397i
$886$	−53.0807	+	16.5406i	−1.78328	+	0.555693i
$887$	−2.67136	+	1.01311i	−0.0896955	+	0.0340170i	−0.399044	−	0.916932i	$-0.630658\pi$
$887$	−2.67136	+	1.01311i	−0.0896955	+	0.0340170i	0.309349	+	0.950949i	$0.399889\pi$
$888$	10.5009	+	136.078i	0.352387	+	4.56647i
$889$	−53.1409	−	9.73844i	−1.78229	−	0.326617i
$890$	24.6119	+	40.7131i	0.824993	+	1.36471i
$891$	−21.5171	+	15.0431i	−0.720848	+	0.503964i
$892$	−47.2404	+	104.964i	−1.58173	+	3.51445i
$893$	1.49000	−	0.565083i	0.0498610	−	0.0189098i
$894$	14.3022	+	17.6441i	0.478337	+	0.590106i
$895$	−29.0921	−	9.06547i	−0.972442	−	0.303025i
$896$	−166.629	−	41.0703i	−5.56667	−	1.37206i
$897$	9.18557	−	4.54051i	0.306697	−	0.151603i
$898$	−63.8100	+	15.7278i	−2.12937	+	0.524842i
$899$	−24.5065	−	1.48237i	−0.817336	−	0.0494397i
$900$	−18.5349	−	32.6345i	−0.617829	−	1.08782i
$901$	−11.1359	−	21.2177i	−0.370991	−	0.706865i
$902$	−17.3349	−	55.6296i	−0.577189	−	1.85226i
$903$	13.2574	+	18.5407i	0.441180	+	0.616994i
$904$	−87.8885	−	5.31628i	−2.92313	−	0.176817i
$905$	−11.2275	−	14.3308i	−0.373215	−	0.476373i
$906$	2.46782	−	56.2879i	0.0819879	−	1.87004i
$907$	−13.7302	−	15.4982i	−0.455904	−	0.514610i	0.474944	−	0.880016i	$-0.342468\pi$
$907$	−13.7302	−	15.4982i	−0.455904	−	0.514610i	−0.930848	+	0.365407i	$0.880930\pi$
$908$	97.2438	−	5.88217i	3.22715	−	0.195207i
$909$	−14.4439	+	17.4372i	−0.479073	+	0.578356i
$910$	4.49690	−	110.054i	0.149071	−	3.64825i
$911$	−7.13614	+	13.5968i	−0.236431	+	0.450481i	−0.974544	−	0.224195i	$-0.928025\pi$
$911$	−7.13614	+	13.5968i	−0.236431	+	0.450481i	0.738113	+	0.674677i	$0.235717\pi$
$912$	−8.86147	−	2.02874i	−0.293433	−	0.0671782i
$913$	−3.48420	+	28.6949i	−0.115310	+	0.949664i
$914$	−4.42071	−	2.32017i	−0.146224	−	0.0767443i
$915$	17.8162	+	11.8658i	0.588984	+	0.392273i
$916$	−32.4312	+	10.1060i	−1.07156	+	0.333911i
$917$	−57.1211	+	3.45519i	−1.88630	+	0.114100i
$918$	−34.7809	+	34.0504i	−1.14794	+	1.12383i
$919$	−1.98791	+	1.76114i	−0.0655752	+	0.0580946i	−0.695274	−	0.718745i	$-0.744717\pi$
$919$	−1.98791	+	1.76114i	−0.0655752	+	0.0580946i	0.629699	+	0.776840i	$0.283178\pi$
$920$	−24.1698	+	35.0160i	−0.796854	+	1.15444i
$921$	36.0827	−	25.8008i	1.18897	−	0.850165i
$922$	21.2968	+	8.07681i	0.701373	+	0.265996i
$923$	11.9172	+	6.88929i	0.392258	+	0.226764i
$924$	97.4880	−	61.1659i	3.20712	−	2.01221i
$925$	13.1557	−	13.1557i	0.432556	−	0.432556i
$926$	33.5038	+	12.7063i	1.10100	+	0.417556i
$927$	36.2689	−	20.5991i	1.19123	−	0.676562i
$928$	−39.9452	+	128.189i	−1.31127	+	4.20800i
$929$	−20.1238	+	3.68783i	−0.660242	+	0.120994i	−0.499921	−	0.866071i	$-0.666638\pi$
$929$	−20.1238	+	3.68783i	−0.660242	+	0.120994i	−0.160321	+	0.987065i	$0.551253\pi$
$930$	49.5452	−	19.7368i	1.62465	−	0.647196i
$931$	3.29785	+	1.02765i	0.108083	+	0.0336799i
$932$	57.6601	−	7.00121i	1.88872	−	0.229332i
$933$	−4.47854	+	26.9549i	−0.146621	+	0.882465i
$934$	50.7101	+	50.7101i	1.65929	+	1.65929i
$935$	9.53448	+	25.1403i	0.311811	+	0.822177i
$936$	−37.6294	+	96.9803i	−1.22996	+	3.16990i
$937$	6.07882	−	16.0285i	0.198586	−	0.523629i	−0.798319	−	0.602234i	$-0.794277\pi$
$937$	6.07882	−	16.0285i	0.198586	−	0.523629i	0.996906	+	0.0786049i	$0.0250465\pi$
$938$	−98.8010	+	44.4667i	−3.22597	+	1.45189i
$939$	9.31856	−	21.6586i	0.304100	−	0.706803i
$940$	45.8678	+	51.7740i	1.49604	+	1.68868i
$941$	29.8099	−	5.46287i	0.971776	−	0.178085i	0.329161	−	0.944274i	$-0.393234\pi$
$941$	29.8099	−	5.46287i	0.971776	−	0.178085i	0.642615	+	0.766189i	$0.277849\pi$
$942$	−22.1976	−	84.0305i	−0.723235	−	2.73786i
$943$	3.55800	+	11.4180i	0.115864	+	0.371822i
$944$	125.871	−	125.871i	4.09674	−	4.09674i
$945$	−6.37150	−	57.5746i	−0.207265	−	1.87290i
$946$	−25.2589	−	3.06699i	−0.821239	−	0.0997165i
$947$	24.3439	+	10.9563i	0.791071	+	0.356032i	0.765331	−	0.643636i	$-0.222575\pi$
$947$	24.3439	+	10.9563i	0.791071	+	0.356032i	0.0257397	+	0.999669i	$0.491806\pi$
$948$	−8.32552	+	28.3671i	−0.270400	+	0.921321i
$949$	30.1792	−	40.1143i	0.979657	−	1.30216i
$950$	0.989702	+	1.88572i	0.0321102	+	0.0611808i
$951$	−0.274037	−	1.03739i	−0.00888625	−	0.0336395i
$952$	101.732	−	90.1263i	3.29714	−	2.92101i
$953$	23.1738	+	5.71182i	0.750672	+	0.185024i	0.596047	−	0.802949i	$-0.296737\pi$
$953$	23.1738	+	5.71182i	0.750672	+	0.185024i	0.154625	+	0.987973i	$0.450583\pi$
$954$	−50.2811	−	28.1606i	−1.62791	−	0.911732i
$955$	1.55561	−	25.7174i	0.0503385	−	0.832194i
$956$	−2.41648	−	5.36920i	−0.0781546	−	0.173652i
$957$	−14.2697	−	26.1254i	−0.461275	−	0.844514i
$958$	88.1810	−	46.2810i	2.84900	−	1.49527i
$959$	−7.08111	−	58.3182i	−0.228661	−	1.88319i
$960$	−20.3340	−	147.025i	−0.656276	−	4.74521i
$961$	−3.26315	−	13.2391i	−0.105263	−	0.427069i
$962$	−80.5411	−	8.18304i	−2.59675	−	0.263832i
$963$	−1.65999	−	10.6916i	−0.0534925	−	0.344532i
$964$	17.2463	−	55.3455i	0.555467	−	1.78256i
$965$	16.1045	+	30.6846i	0.518423	+	0.987773i
$966$	−27.2731	+	17.1117i	−0.877499	+	0.550560i
$967$	−37.9302	−	17.0710i	−1.21975	−	0.548966i	−0.304757	−	0.952430i	$-0.598575\pi$
$967$	−37.9302	−	17.0710i	−1.21975	−	0.548966i	−0.914995	+	0.403465i	$0.867806\pi$
$968$	4.31714	−	23.5579i	0.138758	−	0.757179i
$969$	1.49425	−	1.36873i	0.0480022	−	0.0439699i
$970$	−10.6667	+	58.2062i	−0.342487	+	1.86889i
$971$	−45.5615	−	5.53216i	−1.46214	−	0.177536i	−0.649525	−	0.760340i	$-0.725032\pi$
$971$	−45.5615	−	5.53216i	−1.46214	−	0.177536i	−0.812612	+	0.582805i	$0.801955\pi$
$972$	−18.6648	+	83.8312i	−0.598673	+	2.68889i
$973$	−1.79209	−	5.75102i	−0.0574518	−	0.184369i
$974$	−30.2155	+	43.7747i	−0.968168	+	1.40263i
$975$	13.3769	−	4.70563i	0.428403	−	0.150701i
$976$	39.9275	+	57.8450i	1.27805	+	1.85157i
$977$	−28.4196	+	36.2749i	−0.909223	+	1.16054i	0.0773158	+	0.997007i	$0.475365\pi$
$977$	−28.4196	+	36.2749i	−0.909223	+	1.16054i	−0.986538	+	0.163530i	$0.947712\pi$
$978$	−6.93176	−	14.7428i	−0.221653	−	0.471423i
$979$	−15.4570	−	10.6692i	−0.494009	−	0.340990i
$980$	9.05280	+	149.661i	0.289181	+	4.78073i
$981$	−0.213850	−	2.27765i	−0.00682770	−	0.0727197i
$982$	−71.6748	+	56.1536i	−2.28723	+	1.79193i
$983$	−19.9080	−	15.5969i	−0.634966	−	0.497464i	0.246853	−	0.969053i	$-0.420604\pi$
$983$	−19.9080	−	15.5969i	−0.634966	−	0.497464i	−0.881818	+	0.471589i	$0.843681\pi$
$984$	−104.934	−	61.0795i	−3.34516	−	1.94714i
$985$	21.5508	−	14.8754i	0.686665	−	0.473970i
$986$	−34.0362	−	43.4440i	−1.08393	−	1.38354i
$987$	10.4462	+	31.6626i	0.332506	+	1.00783i
$988$	2.66840	−	6.25323i	0.0848931	−	0.198942i
$989$	5.18441	+	0.629502i	0.164855	+	0.0200170i
$990$	52.1988	+	38.1683i	1.65899	+	1.21307i
$991$	−48.3506			−1.53591			−0.767954	−	0.640505i	$-0.778725\pi$
$991$	−48.3506			−1.53591			−0.767954	+	0.640505i	$0.778725\pi$
$992$	94.9654			3.01515
$993$	−36.3362	+	33.2839i	−1.15309	+	1.05623i
$994$	−39.4427	−	17.7517i	−1.25105	−	0.563051i
$995$	−17.2610	+	17.2610i	−0.547210	+	0.547210i
$996$	54.9993	+	76.9172i	1.74272	+	2.43721i
$997$	−35.3894	+	8.72270i	−1.12079	+	0.276251i	−0.755828	−	0.654770i	$-0.772765\pi$
$997$	−35.3894	+	8.72270i	−1.12079	+	0.276251i	−0.364965	+	0.931021i	$0.618919\pi$
$998$	20.1330	+	17.8363i	0.637299	+	0.564598i
$999$	−42.5221	+	2.11941i	−1.34534	+	0.0670553i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	507.2.s.a.5.2	✓	1392
3.2	odd	2	inner	507.2.s.a.5.57	yes	1392
169.34	odd	52	inner	507.2.s.a.203.57	yes	1392
507.203	even	52	inner	507.2.s.a.203.2	yes	1392

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
507.2.s.a.5.2	✓	1392	1.1	even	1	trivial
507.2.s.a.5.57	yes	1392	3.2	odd	2	inner
507.2.s.a.203.2	yes	1392	507.203	even	52	inner
507.2.s.a.203.57	yes	1392	169.34	odd	52	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 507 = 3 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	507.s (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.493960 + 2.69545i) q^{2} +(-1.66195 - 0.487770i) q^{3} +(-5.15143 - 1.95368i) q^{4} +(-2.69150 - 0.162806i) q^{5} +(2.13570 - 4.23877i) q^{6} +(-3.53808 - 2.13884i) q^{7} +(4.97528 - 8.23013i) q^{8} +(2.52416 + 1.62130i) q^{9} +(1.76833 - 7.17439i) q^{10} +(0.525827 + 2.86934i) q^{11} +(7.60848 + 5.75963i) q^{12} +(-2.65147 + 2.44330i) q^{13} +(7.51281 - 8.48021i) q^{14} +(4.39373 + 1.58341i) q^{15} +(11.4785 + 10.1691i) q^{16} +(-3.31896 + 0.818051i) q^{17} +(-5.61697 + 6.00290i) q^{18} +(0.242011 - 0.242011i) q^{19} +(13.5470 + 6.09701i) q^{20} +(4.83685 + 5.28042i) q^{21} -7.99391 q^{22} +1.64075 q^{23} +(-12.2831 + 11.2513i) q^{24} +(2.25413 + 0.273700i) q^{25} +(-5.27606 - 8.35380i) q^{26} +(-3.40421 - 3.92573i) q^{27} +(14.0475 + 17.9304i) q^{28} +(4.84878 - 3.34687i) q^{29} +(-6.43832 + 11.0609i) q^{30} +(-3.28027 - 2.56992i) q^{31} +(-17.9394 + 14.0546i) q^{32} +(0.525681 - 5.02519i) q^{33} +(-0.565582 - 9.35019i) q^{34} +(9.17452 + 6.33271i) q^{35} +(-9.83554 - 13.2834i) q^{36} +(5.05311 - 6.44982i) q^{37} +(0.532785 + 0.771872i) q^{38} +(5.59838 - 2.76733i) q^{39} +(-14.7309 + 21.3414i) q^{40} +(2.16851 + 6.95900i) q^{41} +(-16.6223 + 10.4292i) q^{42} +(3.15977 + 0.383666i) q^{43} +(2.89702 - 15.8085i) q^{44} +(-6.52983 - 4.77467i) q^{45} +(-0.810467 + 4.42257i) q^{46} +(4.24585 + 1.91090i) q^{47} +(-14.1166 - 22.4994i) q^{48} +(4.69028 + 8.93658i) q^{49} +(-1.85119 + 5.94069i) q^{50} +(5.91498 + 0.259329i) q^{51} +(18.4323 - 7.40634i) q^{52} +(1.67762 + 6.80637i) q^{53} +(12.2632 - 7.23674i) q^{54} +(-0.948117 - 7.80845i) q^{55} +(-35.2059 + 18.4775i) q^{56} +(-0.520256 + 0.284165i) q^{57} +(6.62622 + 14.7229i) q^{58} +(0.700863 - 11.5866i) q^{59} +(-19.5405 - 16.7408i) q^{60} +(4.45019 + 1.09687i) q^{61} +(8.54742 - 7.57236i) q^{62} +(-5.46298 - 11.1351i) q^{63} +(-14.7690 - 28.1400i) q^{64} +(7.53422 - 6.14446i) q^{65} +(13.2855 + 3.89919i) q^{66} +(-8.72072 - 3.92488i) q^{67} +(18.6956 + 2.27006i) q^{68} +(-2.72685 - 0.800310i) q^{69} +(-21.6014 + 21.6014i) q^{70} +(-1.13580 - 3.64491i) q^{71} +(25.9019 - 12.7077i) q^{72} +(-13.6946 + 2.50963i) q^{73} +(14.8891 + 16.8064i) q^{74} +(-3.61274 - 1.55437i) q^{75} +(-1.71951 + 0.773890i) q^{76} +(4.27666 - 11.2766i) q^{77} +(4.69383 + 16.4571i) q^{78} +(1.09858 + 2.89673i) q^{79} +(-29.2389 - 29.2389i) q^{80} +(3.74278 + 8.18484i) q^{81} +(-19.8288 + 2.40765i) q^{82} +(9.46029 + 2.94795i) q^{83} +(-14.6004 - 36.6513i) q^{84} +(9.06618 - 1.66144i) q^{85} +(-2.59495 + 8.32750i) q^{86} +(-9.69093 + 3.19724i) q^{87} +(26.2312 + 9.94818i) q^{88} +(-4.55265 + 4.55265i) q^{89} +(16.0954 - 15.2423i) q^{90} +(14.6069 - 2.97349i) q^{91} +(-8.45223 - 3.20551i) q^{92} +(4.19811 + 5.87110i) q^{93} +(-7.24803 + 10.5006i) q^{94} +(-0.690773 + 0.611972i) q^{95} +(36.6699 - 14.6078i) q^{96} +(-7.99387 + 0.483540i) q^{97} +(-26.4049 + 8.22811i) q^{98} +(-3.32479 + 8.09521i) 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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