LMFDB - Embedded newform 184.2.j.a.11.13

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(11,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([11, 11, 9])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.j (of order $22$, degree $10$, 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:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.13
Character	$\chi$	$=$	184.11
Dual form			184.2.j.a.67.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.133370 + 1.40791i) q^{2} +(0.204278 - 1.42078i) q^{3} +(-1.96442 + 0.375546i) q^{4} +(0.226441 - 0.0664891i) q^{5} +(2.02758 + 0.0981153i) q^{6} +(2.97374 + 3.43188i) q^{7} +(-0.790730 - 2.71565i) q^{8} +(0.901582 + 0.264728i) q^{9} +(0.123811 + 0.309941i) q^{10} +(0.370186 - 0.576021i) q^{11} +(0.132281 + 2.86774i) q^{12} +(2.68825 + 2.32939i) q^{13} +(-4.43517 + 4.64447i) q^{14} +(-0.0482098 - 0.335306i) q^{15} +(3.71793 - 1.47546i) q^{16} +(2.80559 - 1.28127i) q^{17} +(-0.252470 + 1.30465i) q^{18} +(-7.43535 - 3.39561i) q^{19} +(-0.419857 + 0.215652i) q^{20} +(5.48343 - 3.52398i) q^{21} +(0.860358 + 0.444365i) q^{22} +(-3.71482 - 3.03317i) q^{23} +(-4.01988 + 0.568709i) q^{24} +(-4.15941 + 2.67309i) q^{25} +(-2.92104 + 4.09549i) q^{26} +(2.34915 - 5.14392i) q^{27} +(-7.13052 - 5.62489i) q^{28} +(0.417903 - 0.190850i) q^{29} +(0.465652 - 0.112595i) q^{30} +(-7.48838 + 1.07667i) q^{31} +(2.57318 + 5.03773i) q^{32} +(-0.742780 - 0.643623i) q^{33} +(2.17809 + 3.77913i) q^{34} +(0.901560 + 0.579397i) q^{35} +(-1.87051 - 0.181454i) q^{36} +(-5.22059 - 1.53290i) q^{37} +(3.78906 - 10.9212i) q^{38} +(3.85870 - 3.34359i) q^{39} +(-0.359615 - 0.562360i) q^{40} +(8.02436 - 2.35616i) q^{41} +(5.69278 + 7.25018i) q^{42} +(4.68591 + 0.673732i) q^{43} +(-0.510881 + 1.27057i) q^{44} +0.221757 q^{45} +(3.77499 - 5.63467i) q^{46} +1.91520i q^{47} +(-1.33682 - 5.58378i) q^{48} +(-1.93846 + 13.4823i) q^{49} +(-4.31822 - 5.49957i) q^{50} +(-1.24729 - 4.24787i) q^{51} +(-6.15567 - 3.56634i) q^{52} +(-0.909518 - 1.04964i) q^{53} +(7.55548 + 2.62135i) q^{54} +(0.0455263 - 0.155048i) q^{55} +(6.96835 - 10.7893i) q^{56} +(-6.34331 + 9.87038i) q^{57} +(0.324435 + 0.562917i) q^{58} +(3.62842 - 4.18742i) q^{59} +(0.220627 + 0.640579i) q^{60} +(-0.358102 - 2.49066i) q^{61} +(-2.51458 - 10.3994i) q^{62} +(1.77255 + 3.88135i) q^{63} +(-6.74949 + 4.29469i) q^{64} +(0.763611 + 0.348729i) q^{65} +(0.807099 - 1.13161i) q^{66} +(-2.40329 - 3.73959i) q^{67} +(-5.03019 + 3.57058i) q^{68} +(-5.06833 + 4.65835i) q^{69} +(-0.695499 + 1.34659i) q^{70} +(-4.64369 - 7.22572i) q^{71} +(0.00600129 - 2.65771i) q^{72} +(2.62546 - 5.74895i) q^{73} +(1.46192 - 7.55457i) q^{74} +(2.94821 + 6.45568i) q^{75} +(15.8814 + 3.87811i) q^{76} +(3.07767 - 0.442502i) q^{77} +(5.22211 + 4.98678i) q^{78} +(-3.51867 + 4.06077i) q^{79} +(0.743791 - 0.581308i) q^{80} +(-4.45708 - 2.86439i) q^{81} +(4.38748 + 10.9833i) q^{82} +(-3.00677 + 10.2401i) q^{83} +(-9.44836 + 8.98188i) q^{84} +(0.550110 - 0.476673i) q^{85} +(-0.323595 + 6.68720i) q^{86} +(-0.185788 - 0.632736i) q^{87} +(-1.85699 - 0.549818i) q^{88} +(-1.19953 - 0.172467i) q^{89} +(0.0295757 + 0.312214i) q^{90} +16.1528i q^{91} +(8.43658 + 4.56335i) q^{92} +10.8593i q^{93} +(-2.69643 + 0.255430i) q^{94} +(-1.90944 - 0.274536i) q^{95} +(7.68317 - 2.62683i) q^{96} +(-0.0150385 - 0.0512164i) q^{97} +(-19.2404 - 0.931048i) q^{98} +(0.486242 - 0.421331i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{9}{22}\right)$

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 $

$2$	0.133370	+	1.40791i	0.0943067	+	0.995543i
$2$	0.133370	+	1.40791i	0.0943067	+	0.995543i
$3$	0.204278	−	1.42078i	0.117940	−	0.820290i	−0.841878	−	0.539667i	$-0.818550\pi$
$3$	0.204278	−	1.42078i	0.117940	−	0.820290i	0.959818	−	0.280623i	$-0.0905409\pi$
$4$	−1.96442	+	0.375546i	−0.982212	+	0.187773i
$5$	0.226441	−	0.0664891i	0.101268	−	0.0297348i	−0.230706	−	0.973023i	$-0.574104\pi$
$5$	0.226441	−	0.0664891i	0.101268	−	0.0297348i	0.331974	+	0.943289i	$0.392285\pi$
$6$	2.02758	+	0.0981153i	0.827757	+	0.0400554i
$7$	2.97374	+	3.43188i	1.12397	+	1.29713i	0.949956	+	0.312385i	$0.101128\pi$
$7$	2.97374	+	3.43188i	1.12397	+	1.29713i	0.174012	+	0.984743i	$0.444327\pi$
$8$	−0.790730	−	2.71565i	−0.279565	−	0.960127i
$9$	0.901582	+	0.264728i	0.300527	+	0.0882428i
$10$	0.123811	+	0.309941i	0.0391525	+	0.0980121i
$11$	0.370186	−	0.576021i	0.111615	−	0.173677i	−0.780952	−	0.624591i	$-0.785266\pi$
$11$	0.370186	−	0.576021i	0.111615	−	0.173677i	0.892567	+	0.450914i	$0.148902\pi$
$12$	0.132281	+	2.86774i	0.0381862	+	0.827845i
$13$	2.68825	+	2.32939i	0.745588	+	0.646055i	0.942439	−	0.334378i	$-0.108526\pi$
$13$	2.68825	+	2.32939i	0.745588	+	0.646055i	−0.196851	+	0.980433i	$0.563072\pi$
$14$	−4.43517	+	4.64447i	−1.18535	+	1.24129i
$15$	−0.0482098	−	0.335306i	−0.0124477	−	0.0865757i
$16$	3.71793	−	1.47546i	0.929483	−	0.368866i
$17$	2.80559	−	1.28127i	0.680455	−	0.310753i	−0.0450359	−	0.998985i	$-0.514340\pi$
$17$	2.80559	−	1.28127i	0.680455	−	0.310753i	0.725491	+	0.688232i	$0.241613\pi$
$18$	−0.252470	+	1.30465i	−0.0595077	+	0.307510i
$19$	−7.43535	−	3.39561i	−1.70579	−	0.779007i	−0.997312	−	0.0732698i	$-0.976657\pi$
$19$	−7.43535	−	3.39561i	−1.70579	−	0.779007i	−0.708474	−	0.705737i	$-0.750616\pi$
$20$	−0.419857	+	0.215652i	−0.0938829	+	0.0482212i
$21$	5.48343	−	3.52398i	1.19658	−	0.768997i
$22$	0.860358	+	0.444365i	0.183429	+	0.0947390i
$23$	−3.71482	−	3.03317i	−0.774593	−	0.632459i
$23$	−3.71482	−	3.03317i	−0.774593	−	0.632459i
$24$	−4.01988	+	0.568709i	−0.820554	+	0.116087i
$25$	−4.15941	+	2.67309i	−0.831883	+	0.534618i
$26$	−2.92104	+	4.09549i	−0.572862	+	0.803192i
$27$	2.34915	−	5.14392i	0.452094	−	0.989947i
$28$	−7.13052	−	5.62489i	−1.34754	−	1.06300i
$29$	0.417903	−	0.190850i	0.0776026	−	0.0354399i	−0.376236	−	0.926524i	$-0.622782\pi$
$29$	0.417903	−	0.190850i	0.0776026	−	0.0354399i	0.453838	+	0.891084i	$0.350054\pi$
$30$	0.465652	−	0.112595i	0.0850160	−	0.0205569i
$31$	−7.48838	+	1.07667i	−1.34495	+	0.193375i	−0.776904	−	0.629619i	$-0.783211\pi$
$31$	−7.48838	+	1.07667i	−1.34495	+	0.193375i	−0.568049	+	0.822994i	$0.692302\pi$
$32$	2.57318	+	5.03773i	0.454878	+	0.890554i
$33$	−0.742780	−	0.643623i	−0.129301	−	0.112040i
$34$	2.17809	+	3.77913i	0.373540	+	0.648116i
$35$	0.901560	+	0.579397i	0.152391	+	0.0979360i
$36$	−1.87051	−	0.181454i	−0.311751	−	0.0302423i
$37$	−5.22059	−	1.53290i	−0.858259	−	0.252008i	−0.177145	−	0.984185i	$-0.556686\pi$
$37$	−5.22059	−	1.53290i	−0.858259	−	0.252008i	−0.681114	+	0.732177i	$0.738504\pi$
$38$	3.78906	−	10.9212i	0.614667	−	1.77165i
$39$	3.85870	−	3.34359i	0.617887	−	0.535402i
$40$	−0.359615	−	0.562360i	−0.0568601	−	0.0889169i
$41$	8.02436	−	2.35616i	1.25319	−	0.367971i	0.413237	−	0.910624i	$-0.364398\pi$
$41$	8.02436	−	2.35616i	1.25319	−	0.367971i	0.839957	+	0.542653i	$0.182580\pi$
$42$	5.69278	+	7.25018i	0.878415	+	1.11873i
$43$	4.68591	+	0.673732i	0.714594	+	0.102743i	0.490017	−	0.871713i	$-0.336991\pi$
$43$	4.68591	+	0.673732i	0.714594	+	0.102743i	0.224578	+	0.974456i	$0.427900\pi$
$44$	−0.510881	+	1.27057i	−0.0770182	+	0.191546i
$45$	0.221757			0.0330576
$46$	3.77499	−	5.63467i	0.556591	−	0.830786i
$47$			1.91520i			0.279361i	0.990197	+	0.139680i	$0.0446075\pi$
$47$			1.91520i			0.279361i	−0.990197	+	0.139680i	$0.955392\pi$
$48$	−1.33682	−	5.58378i	−0.192954	−	0.805949i
$49$	−1.93846	+	13.4823i	−0.276923	+	1.92604i
$50$	−4.31822	−	5.49957i	−0.610688	−	0.777757i
$51$	−1.24729	−	4.24787i	−0.174655	−	0.594820i
$52$	−6.15567	−	3.56634i	−0.853637	−	0.494563i
$53$	−0.909518	−	1.04964i	−0.124932	−	0.144179i	0.689838	−	0.723964i	$-0.257682\pi$
$53$	−0.909518	−	1.04964i	−0.124932	−	0.144179i	−0.814769	+	0.579785i	$0.803137\pi$
$54$	7.55548	+	2.62135i	1.02817	+	0.356720i
$55$	0.0455263	−	0.155048i	0.00613876	−	0.0209067i
$56$	6.96835	−	10.7893i	0.931185	−	1.44178i
$57$	−6.34331	+	9.87038i	−0.840191	+	1.30736i
$58$	0.324435	+	0.562917i	0.0426004	+	0.0739146i
$59$	3.62842	−	4.18742i	0.472380	−	0.545156i	−0.468692	−	0.883362i	$-0.655275\pi$
$59$	3.62842	−	4.18742i	0.472380	−	0.545156i	0.941072	+	0.338206i	$0.109820\pi$
$60$	0.220627	+	0.640579i	0.0284829	+	0.0826984i
$61$	−0.358102	−	2.49066i	−0.0458503	−	0.318896i	−0.999820	−	0.0189916i	$-0.993954\pi$
$61$	−0.358102	−	2.49066i	−0.0458503	−	0.318896i	0.953969	−	0.299904i	$-0.0969547\pi$
$62$	−2.51458	−	10.3994i	−0.319351	−	1.32072i
$63$	1.77255	+	3.88135i	0.223321	+	0.489004i
$64$	−6.74949	+	4.29469i	−0.843687	+	0.536836i
$65$	0.763611	+	0.348729i	0.0947142	+	0.0432545i
$66$	0.807099	−	1.13161i	0.0993470	−	0.139291i
$67$	−2.40329	−	3.73959i	−0.293608	−	0.456864i	0.662842	−	0.748760i	$-0.269350\pi$
$67$	−2.40329	−	3.73959i	−0.293608	−	0.456864i	−0.956450	+	0.291896i	$0.905714\pi$
$68$	−5.03019	+	3.57058i	−0.610000	+	0.432997i
$69$	−5.06833	+	4.65835i	−0.610156	+	0.560799i
$70$	−0.695499	+	1.34659i	−0.0831280	+	0.160948i
$71$	−4.64369	−	7.22572i	−0.551104	−	0.857535i	0.448234	−	0.893916i	$-0.352053\pi$
$71$	−4.64369	−	7.22572i	−0.551104	−	0.857535i	−0.999338	+	0.0363817i	$0.988417\pi$
$72$	0.00600129	−	2.65771i	0.000707259	−	0.313214i
$73$	2.62546	−	5.74895i	0.307287	−	0.672864i	−0.691486	−	0.722390i	$-0.743044\pi$
$73$	2.62546	−	5.74895i	0.307287	−	0.672864i	0.998773	+	0.0495255i	$0.0157709\pi$
$74$	1.46192	−	7.55457i	0.169945	−	0.878200i
$75$	2.94821	+	6.45568i	0.340430	+	0.745438i
$76$	15.8814	+	3.87811i	1.82172	+	0.444850i
$77$	3.07767	−	0.442502i	0.350733	−	0.0504278i
$78$	5.22211	+	4.98678i	0.591287	+	0.564641i
$79$	−3.51867	+	4.06077i	−0.395882	+	0.456872i	−0.918340	−	0.395793i	$-0.870470\pi$
$79$	−3.51867	+	4.06077i	−0.395882	+	0.456872i	0.522458	+	0.852665i	$0.325015\pi$
$80$	0.743791	−	0.581308i	0.0831583	−	0.0649922i
$81$	−4.45708	−	2.86439i	−0.495231	−	0.318265i
$82$	4.38748	+	10.9833i	0.484516	+	1.21291i
$83$	−3.00677	+	10.2401i	−0.330036	+	1.12400i	0.612660	+	0.790347i	$0.290100\pi$
$83$	−3.00677	+	10.2401i	−0.330036	+	1.12400i	−0.942696	+	0.333653i	$0.891718\pi$
$84$	−9.44836	+	8.98188i	−1.03090	+	0.980004i
$85$	0.550110	−	0.476673i	0.0596678	−	0.0517024i
$86$	−0.323595	+	6.68720i	−0.0348942	+	0.721099i
$87$	−0.185788	−	0.632736i	−0.0199186	−	0.0678364i
$88$	−1.85699	−	0.549818i	−0.197956	−	0.0586108i
$89$	−1.19953	−	0.172467i	−0.127150	−	0.0182815i	0.0784458	−	0.996918i	$-0.475004\pi$
$89$	−1.19953	−	0.172467i	−0.127150	−	0.0182815i	−0.205596	+	0.978637i	$0.565913\pi$
$90$	0.0295757	+	0.312214i	0.00311755	+	0.0329102i
$91$			16.1528i			1.69327i
$92$	8.43658	+	4.56335i	0.879574	+	0.475762i
$93$			10.8593i			1.12606i
$94$	−2.69643	+	0.255430i	−0.278116	+	0.0263456i
$95$	−1.90944	−	0.274536i	−0.195905	−	0.0281668i
$96$	7.68317	−	2.62683i	0.784160	−	0.268100i
$97$	−0.0150385	−	0.0512164i	−0.00152693	−	0.00520024i	0.958726	−	0.284332i	$-0.0917717\pi$
$97$	−0.0150385	−	0.0512164i	−0.00152693	−	0.00520024i	−0.960253	+	0.279131i	$0.909953\pi$
$98$	−19.2404	−	0.931048i	−1.94357	−	0.0940500i
$99$	0.486242	−	0.421331i	0.0488692	−	0.0423454i
$100$	7.16699	−	6.81314i	0.716699	−	0.681314i
$101$	1.29233	−	4.40128i	0.128592	−	0.437944i	−0.869877	−	0.493270i	$-0.835802\pi$
$101$	1.29233	−	4.40128i	0.128592	−	0.437944i	0.998468	+	0.0553260i	$0.0176198\pi$
$102$	5.81427	−	2.32260i	0.575698	−	0.229972i
$103$	0.380337	+	0.244428i	0.0374757	+	0.0240842i	0.559245	−	0.829003i	$-0.311091\pi$
$103$	0.380337	+	0.244428i	0.0374757	+	0.0240842i	−0.521769	+	0.853087i	$0.674728\pi$
$104$	4.20011	−	9.14227i	0.411855	−	0.896473i
$105$	1.00737	−	1.16256i	0.0983090	−	0.113455i
$106$	1.35650	−	1.42051i	0.131755	−	0.137972i
$107$	−18.9434	+	2.72364i	−1.83132	+	0.263304i	−0.969710	−	0.244261i	$-0.921455\pi$
$107$	−18.9434	+	2.72364i	−1.83132	+	0.263304i	−0.861613	+	0.507565i	$0.830546\pi$
$108$	−2.68295	+	10.9870i	−0.258167	+	1.05723i
$109$	4.15120	+	9.08986i	0.397613	+	0.870650i	0.997507	+	0.0705709i	$0.0224821\pi$
$109$	4.15120	+	9.08986i	0.397613	+	0.870650i	−0.599894	+	0.800079i	$0.704791\pi$
$110$	0.224366	+	0.0434182i	0.0213924	+	0.00413976i
$111$	−3.24437	+	7.10419i	−0.307942	+	0.674300i
$112$	16.1198	+	8.37185i	1.52318	+	0.791065i
$113$	−4.32137	−	6.72418i	−0.406520	−	0.632557i	0.576275	−	0.817256i	$-0.304506\pi$
$113$	−4.32137	−	6.72418i	−0.406520	−	0.632557i	−0.982795	+	0.184698i	$0.940869\pi$
$114$	−14.7426	−	7.61440i	−1.38077	−	0.713154i
$115$	−1.04286	−	0.439839i	−0.0972473	−	0.0410152i
$116$	−0.749266	+	0.531852i	−0.0695676	+	0.0493812i
$117$	1.80703	+	2.81179i	0.167060	+	0.259950i
$118$	6.37943	+	4.55002i	0.587275	+	0.418863i
$119$	12.7402	+	5.81827i	1.16790	+	0.533360i
$120$	−0.872453	+	0.396057i	−0.0796437	+	0.0361549i
$121$	4.37480	+	9.57948i	0.397709	+	0.870862i
$122$	3.45886	−	0.836354i	0.313150	−	0.0757199i
$123$	−1.70840	−	11.8822i	−0.154041	−	1.07138i
$124$	14.3060	−	4.92726i	1.28472	−	0.442481i
$125$	−1.53687	+	1.77364i	−0.137462	+	0.158639i
$126$	−5.22819	+	3.01325i	−0.465764	+	0.268442i
$127$	8.00563	−	12.4570i	0.710385	−	1.10538i	−0.279032	−	0.960282i	$-0.590014\pi$
$127$	8.00563	−	12.4570i	0.710385	−	1.10538i	0.989417	−	0.145099i	$-0.0463501\pi$
$128$	−6.94672	−	8.92990i	−0.614009	−	0.789299i
$129$	1.91445	−	6.52003i	0.168558	−	0.574057i
$130$	−0.389137	+	1.12161i	−0.0341296	+	0.0983713i
$131$	10.2043	+	11.7764i	0.891552	+	1.02891i	0.999396	+	0.0347378i	$0.0110596\pi$
$131$	10.2043	+	11.7764i	0.891552	+	1.02891i	−0.107845	+	0.994168i	$0.534395\pi$
$132$	1.70085	+	0.985401i	0.148040	+	0.0857681i
$133$	−10.4575	−	35.6149i	−0.906778	−	3.08820i
$134$	4.94448	−	3.88236i	0.427138	−	0.335385i
$135$	0.189929	−	1.32099i	0.0163465	−	0.113692i
$136$	−5.69794	−	6.60585i	−0.488594	−	0.566447i
$137$		−	15.5775i		−	1.33088i	−0.746453	−	0.665438i	$-0.768245\pi$
$137$		−	15.5775i		−	1.33088i	0.746453	−	0.665438i	$-0.231755\pi$
$138$	−7.23450	−	6.51448i	−0.615841	−	0.554549i
$139$	1.76292			0.149529			0.0747646	−	0.997201i	$-0.476179\pi$
$139$	1.76292			0.149529			0.0747646	+	0.997201i	$0.476179\pi$
$140$	−1.98864	−	0.799606i	−0.168071	−	0.0675790i
$141$	2.72109	+	0.391233i	0.229157	+	0.0329478i
$142$	9.55383	−	7.50159i	0.801740	−	0.629519i
$143$	2.33693	−	0.686184i	0.195424	−	0.0573816i
$144$	3.74262	−	0.346009i	0.311885	−	0.0288341i
$145$	0.0819410	−	0.0710023i	0.00680483	−	0.00589642i
$146$	8.44417	+	2.92968i	0.698845	+	0.242462i
$147$	18.7594	+	5.50826i	1.54725	+	0.454314i
$148$	10.8311	+	1.05070i	0.890313	+	0.0863673i
$149$	−12.9421	−	8.31737i	−1.06026	−	0.681386i	−0.110342	−	0.993894i	$-0.535194\pi$
$149$	−12.9421	−	8.31737i	−1.06026	−	0.681386i	−0.949915	+	0.312508i	$0.898831\pi$
$150$	−8.69582	+	5.01181i	−0.710011	+	0.409213i
$151$	3.00109	+	2.60046i	0.244225	+	0.211622i	0.768368	−	0.640008i	$-0.221069\pi$
$151$	3.00109	+	2.60046i	0.244225	+	0.211622i	−0.524143	+	0.851630i	$0.675614\pi$
$152$	−3.34193	+	22.8768i	−0.271066	+	1.85555i
$153$	2.86865	−	0.412450i	0.231917	−	0.0333446i
$154$	1.03347	+	4.27407i	0.0832796	+	0.344414i
$155$	−1.62409	+	0.741698i	−0.130450	+	0.0595746i
$156$	−6.32447	+	8.01735i	−0.506363	+	0.641901i
$157$	−6.59824	+	14.4481i	−0.526596	+	1.15309i	0.440285	+	0.897858i	$0.354878\pi$
$157$	−6.59824	+	14.4481i	−0.526596	+	1.15309i	−0.966881	+	0.255227i	$0.917850\pi$
$158$	−6.18648	−	4.41239i	−0.492170	−	0.351031i
$159$	−1.67711	+	1.07781i	−0.133003	+	0.0854759i
$160$	0.917628	+	0.969662i	0.0725449	+	0.0766585i
$161$	−0.637439	−	21.7687i	−0.0502372	−	1.71561i
$162$	3.43836	−	6.65719i	0.270143	−	0.523038i
$163$	−4.72753	+	3.03820i	−0.370289	+	0.237970i	−0.712530	−	0.701642i	$-0.752451\pi$
$163$	−4.72753	+	3.03820i	−0.370289	+	0.237970i	0.342241	+	0.939612i	$0.388814\pi$
$164$	−14.8784	+	7.64202i	−1.16181	+	0.596742i
$165$	−0.210990	−	0.0963559i	−0.0164255	−	0.00750130i
$166$	−14.8182	−	2.86754i	−1.15012	−	0.222565i
$167$	21.2094	−	9.68602i	1.64123	−	0.749527i	0.641391	−	0.767214i	$-0.278358\pi$
$167$	21.2094	−	9.68602i	1.64123	−	0.749527i	0.999844	+	0.0176873i	$0.00563034\pi$
$168$	−13.9058	−	12.1045i	−1.07286	−	0.933886i
$169$	−0.0494183	−	0.343712i	−0.00380141	−	0.0264394i
$170$	0.744481	+	0.710932i	0.0570991	+	0.0545260i
$171$	−5.80466	−	5.02977i	−0.443894	−	0.384636i
$172$	−9.45813	+	0.436277i	−0.721176	+	0.0332658i
$173$	−9.34793	+	14.5457i	−0.710710	+	1.10589i	0.278650	+	0.960393i	$0.410113\pi$
$173$	−9.34793	+	14.5457i	−0.710710	+	1.10589i	−0.989359	+	0.145493i	$0.953523\pi$
$174$	0.866058	−	0.345961i	0.0656557	−	0.0262272i
$175$	−21.5427	−	6.32552i	−1.62848	−	0.478164i
$176$	0.526429	−	2.68780i	0.0396811	−	0.202601i
$177$	−5.20821	−	6.01060i	−0.391473	−	0.451784i
$178$	0.0828364	−	1.71184i	0.00620885	−	0.128308i
$179$	15.5386	−	4.56253i	1.16141	−	0.341020i	0.356427	−	0.934323i	$-0.383995\pi$
$179$	15.5386	−	4.56253i	1.16141	−	0.341020i	0.804979	+	0.593304i	$0.202177\pi$
$180$	−0.435625	+	0.0832798i	−0.0324695	+	0.00620731i
$181$	−1.95007	+	13.5630i	−0.144947	+	1.00813i	0.779386	+	0.626545i	$0.215531\pi$
$181$	−1.95007	+	13.5630i	−0.144947	+	1.00813i	−0.924333	+	0.381587i	$0.875378\pi$
$182$	−22.7416	+	2.15429i	−1.68572	+	0.159687i
$183$	−3.61183			−0.266995
$184$	−5.29960	+	12.4866i	−0.390692	+	0.920522i
$185$	−1.28408			−0.0944073
$186$	−15.2889	+	1.44830i	−1.12104	+	0.106195i
$187$	0.300552	−	2.09038i	0.0219785	−	0.152864i
$188$	−0.719246	−	3.76227i	−0.0524564	−	0.274392i
$189$	24.6391	−	7.23468i	1.79223	−	0.526245i
$190$	0.131861	−	2.72494i	0.00956617	−	0.197688i
$191$	12.3370	+	14.2377i	0.892676	+	1.03020i	0.999355	+	0.0359096i	$0.0114328\pi$
$191$	12.3370	+	14.2377i	0.892676	+	1.03020i	−0.106679	+	0.994294i	$0.534022\pi$
$192$	4.72305	+	10.4669i	0.340857	+	0.755382i
$193$	20.0593	+	5.88994i	1.44390	+	0.423967i	0.907520	−	0.420010i	$-0.137973\pi$
$193$	20.0593	+	5.88994i	1.44390	+	0.423967i	0.536380	+	0.843977i	$0.319791\pi$
$194$	0.0701025	−	0.0280036i	0.00503307	−	0.00201054i
$195$	0.651458	−	1.01369i	0.0466518	−	0.0725917i
$196$	−1.25525	−	27.2129i	−0.0896611	−	1.94378i
$197$	−10.0359	−	8.69613i	−0.715026	−	0.619574i	0.219440	−	0.975626i	$-0.429577\pi$
$197$	−10.0359	−	8.69613i	−0.715026	−	0.619574i	−0.934466	+	0.356052i	$0.884122\pi$
$198$	0.658047	+	0.628393i	0.0467653	+	0.0446579i
$199$	1.86994	+	13.0057i	0.132557	+	0.921953i	0.942205	+	0.335037i	$0.108749\pi$
$199$	1.86994	+	13.0057i	0.132557	+	0.921953i	−0.809648	+	0.586916i	$0.800342\pi$
$200$	10.5482	+	9.18181i	0.745867	+	0.649252i
$201$	−5.80409	+	2.65064i	−0.409389	+	0.186962i
$202$	6.36896	+	1.23249i	0.448119	+	0.0867177i
$203$	1.89771	+	0.866655i	0.133193	+	0.0608272i
$204$	4.04547	+	7.87620i	0.283239	+	0.551444i
$205$	1.66039	−	1.06707i	0.115966	−	0.0745271i
$206$	−0.293407	+	0.568080i	−0.0204426	+	0.0395800i
$207$	−2.54625	−	3.71807i	−0.176976	−	0.258424i
$208$	13.4317	+	4.69408i	0.931319	+	0.325476i
$209$	−4.70841	+	3.02591i	−0.325687	+	0.209306i
$210$	1.77114	+	1.26323i	0.122220	+	0.0871713i
$211$	−3.84016	+	8.40878i	−0.264368	+	0.578884i	−0.994537	−	0.104382i	$-0.966714\pi$
$211$	−3.84016	+	8.40878i	−0.264368	+	0.578884i	0.730170	+	0.683266i	$0.239441\pi$
$212$	2.18087	+	1.72037i	0.149783	+	0.118156i
$213$	−11.2148	+	5.12162i	−0.768424	+	0.350928i
$214$	−6.36112	−	26.3073i	−0.434837	−	1.79833i
$215$	1.10588	−	0.159001i	0.0754203	−	0.0108438i
$216$	−15.8266	−	2.31201i	−1.07686	−	0.157312i
$217$	−25.9635	−	22.4975i	−1.76252	−	1.52723i
$218$	−12.2441	+	7.05683i	−0.829273	+	0.477949i
$219$	−7.63170	−	4.90459i	−0.515702	−	0.331422i
$220$	−0.0312052	+	0.321678i	−0.00210386	+	0.0216875i
$221$	10.5267	+	3.09092i	0.708102	+	0.207918i
$222$	−10.4348	−	3.62030i	−0.700336	−	0.242979i
$223$	5.99344	−	5.19335i	0.401351	−	0.347772i	−0.430677	−	0.902506i	$-0.641725\pi$
$223$	5.99344	−	5.19335i	0.401351	−	0.347772i	0.832028	+	0.554734i	$0.187180\pi$
$224$	−9.63692	+	23.8117i	−0.643894	+	1.59099i
$225$	−4.45769	+	1.30890i	−0.297180	+	0.0872598i
$226$	8.89070	−	6.98090i	0.591401	−	0.464363i
$227$	7.27941	+	1.04662i	0.483152	+	0.0694667i	0.379587	−	0.925156i	$-0.376066\pi$
$227$	7.27941	+	1.04662i	0.483152	+	0.0694667i	0.103565	+	0.994623i	$0.466975\pi$
$228$	8.75417	−	21.7718i	0.579759	−	1.44187i
$229$	30.1930			1.99521			0.997605	−	0.0691616i	$-0.0220324\pi$
$229$	30.1930			1.99521			0.997605	+	0.0691616i	$0.0220324\pi$
$230$	0.480168	−	1.52692i	0.0316614	−	0.100682i
$231$		−	4.46310i		−	0.293650i
$232$	−0.848730	−	0.983967i	−0.0557218	−	0.0646006i
$233$	2.01273	−	13.9988i	0.131858	−	0.917094i	−0.811271	−	0.584670i	$-0.801224\pi$
$233$	2.01273	−	13.9988i	0.131858	−	0.917094i	0.943130	−	0.332425i	$-0.107867\pi$
$234$	−3.71775	+	2.91914i	−0.243037	+	0.190830i
$235$	0.127340	+	0.433681i	0.00830675	+	0.0282902i
$236$	−5.55519	+	9.58851i	−0.361612	+	0.624159i
$237$	5.05068	+	5.82880i	0.328077	+	0.378621i
$238$	−6.49245	+	18.7131i	−0.420843	+	1.21299i
$239$	3.14543	−	10.7124i	0.203461	−	0.692925i	−0.793027	−	0.609187i	$-0.791496\pi$
$239$	3.14543	−	10.7124i	0.203461	−	0.692925i	0.996488	−	0.0837379i	$-0.0266859\pi$
$240$	−0.673972	−	1.17551i	−0.0435047	−	0.0758791i
$241$	−5.82461	+	9.06327i	−0.375196	+	0.583816i	−0.976583	−	0.215142i	$-0.930979\pi$
$241$	−5.82461	+	9.06327i	−0.375196	+	0.583816i	0.601387	+	0.798958i	$0.294615\pi$
$242$	−12.9036	+	7.43695i	−0.829474	+	0.478065i
$243$	6.12944	−	7.07375i	0.393204	−	0.453781i
$244$	1.63882	+	4.75822i	0.104915	+	0.304614i
$245$	0.457478	+	3.18183i	0.0292272	+	0.203280i
$246$	16.5012	−	3.99000i	1.05208	−	0.254393i
$247$	−12.0784	−	26.4481i	−0.768532	−	1.68285i
$248$	8.84514	+	19.4845i	0.561667	+	1.23726i
$249$	13.9348	+	6.36381i	0.883082	+	0.403290i
$250$	−2.70210	−	1.92722i	−0.170896	−	0.121888i
$251$	10.0193	+	15.5903i	0.632412	+	0.984053i	0.998568	+	0.0534992i	$0.0170375\pi$
$251$	10.0193	+	15.5903i	0.632412	+	0.984053i	−0.366156	+	0.930554i	$0.619326\pi$
$252$	−4.93968	−	6.95895i	−0.311170	−	0.438373i
$253$	−3.12234	+	1.01698i	−0.196300	+	0.0639368i
$254$	18.6061	+	9.60983i	1.16745	+	0.602974i
$255$	−0.564874	−	0.878961i	−0.0353738	−	0.0550427i
$256$	11.6460	−	10.9713i	0.727876	−	0.685709i
$257$	−5.07168	+	11.1054i	−0.316363	+	0.692738i	−0.999287	−	0.0377512i	$-0.987981\pi$
$257$	−5.07168	+	11.1054i	−0.316363	+	0.692738i	0.682924	+	0.730489i	$0.260708\pi$
$258$	9.43496	+	1.82581i	0.587395	+	0.113670i
$259$	−10.2639	−	22.4749i	−0.637770	−	1.39652i
$260$	−1.63102	−	0.398282i	−0.101152	−	0.0247004i
$261$	0.427297	−	0.0614361i	0.0264490	−	0.00380280i
$262$	−15.2191	+	15.9373i	−0.940241	+	0.984611i
$263$	−14.1968	+	16.3840i	−0.875414	+	1.01028i	0.124423	+	0.992229i	$0.460292\pi$
$263$	−14.1968	+	16.3840i	−0.875414	+	1.01028i	−0.999837	+	0.0180522i	$0.994254\pi$
$264$	−1.16051	+	2.52606i	−0.0714247	+	0.155468i
$265$	−0.275742	−	0.177209i	−0.0169387	−	0.0108858i
$266$	48.7479	−	19.4731i	2.98892	−	1.19397i
$267$	−0.490077	+	1.66905i	−0.0299922	+	0.102144i
$268$	6.12547	+	6.44360i	0.374172	+	0.393605i
$269$	−9.00932	+	7.80662i	−0.549308	+	0.475978i	−0.884739	−	0.466087i	$-0.845663\pi$
$269$	−9.00932	+	7.80662i	−0.549308	+	0.475978i	0.335431	+	0.942065i	$0.391118\pi$
$270$	1.88516	+	0.0912236i	0.114727	+	0.00555169i
$271$	1.28283	+	4.36893i	0.0779266	+	0.265394i	0.989236	−	0.146328i	$-0.0467456\pi$
$271$	1.28283	+	4.36893i	0.0779266	+	0.265394i	−0.911309	+	0.411722i	$0.864927\pi$
$272$	8.54051	−	8.90321i	0.517845	−	0.539836i
$273$	22.9496	+	3.29965i	1.38897	+	0.199704i
$274$	21.9317	−	2.07757i	1.32494	−	0.125511i
$275$			3.38545i			0.204150i
$276$	8.20694	−	11.0544i	0.494000	−	0.665394i
$277$		−	15.3396i		−	0.921668i	−0.887486	−	0.460834i	$-0.847550\pi$
$277$		−	15.3396i		−	0.921668i	0.887486	−	0.460834i	$-0.152450\pi$
$278$	0.235121	+	2.48204i	0.0141016	+	0.148863i
$279$	−7.03641	−	1.01168i	−0.421259	−	0.0605679i
$280$	0.860549	−	2.90647i	0.0514277	−	0.173695i
$281$	0.898607	+	3.06037i	0.0536064	+	0.182567i	0.981944	−	0.189171i	$-0.0605802\pi$
$281$	0.898607	+	3.06037i	0.0536064	+	0.182567i	−0.928338	+	0.371738i	$0.878762\pi$
$282$	−0.187911	+	3.88323i	−0.0111899	+	0.231243i
$283$	0.870713	−	0.754477i	0.0517585	−	0.0448490i	−0.628597	−	0.777731i	$-0.716371\pi$
$283$	0.870713	−	0.754477i	0.0517585	−	0.0448490i	0.680356	+	0.732882i	$0.261825\pi$
$284$	11.8358	+	12.4505i	0.702323	+	0.738799i
$285$	−0.780113	+	2.65682i	−0.0462099	+	0.157376i
$286$	1.27776	+	3.19867i	0.0755557	+	0.189141i
$287$	31.9484	+	20.5320i	1.88586	+	1.21197i
$288$	0.986302	+	5.22312i	0.0581184	+	0.307775i
$289$	−4.90297	+	5.65832i	−0.288410	+	0.332843i
$290$	0.110893	+	0.105896i	0.00651188	+	0.00621843i
$291$	−0.0758395	+	0.0109041i	−0.00444579	+	0.000639208i
$292$	−2.99852	+	12.2794i	−0.175475	+	0.718596i
$293$	−10.0724	−	22.0555i	−0.588436	−	1.28850i	−0.936382	−	0.350981i	$-0.885848\pi$
$293$	−10.0724	−	22.0555i	−0.588436	−	1.28850i	0.347946	−	0.937515i	$-0.386879\pi$
$294$	−5.25320	+	27.1462i	−0.306373	+	1.58320i
$295$	0.543206	−	1.18945i	0.0316267	−	0.0692527i
$296$	−0.0347503	+	15.3894i	−0.00201982	+	0.894490i
$297$	−2.09338	−	3.25736i	−0.121470	−	0.189011i
$298$	9.98403	−	19.3306i	0.578359	−	1.11979i
$299$	−2.92096	−	16.8072i	−0.168923	−	0.971984i
$300$	−8.21594	−	11.5745i	−0.474348	−	0.668255i
$301$	11.6225	+	18.0850i	0.669910	+	1.04240i
$302$	−3.26096	+	4.57209i	−0.187647	+	0.263094i
$303$	−5.98927	−	2.73521i	−0.344075	−	0.157134i
$304$	−32.6542	−	1.65406i	−1.87285	−	0.0948670i
$305$	−0.246691	−	0.540177i	−0.0141255	−	0.0309304i
$306$	0.963285	+	3.98380i	0.0550673	+	0.227739i
$307$	0.976648	+	6.79274i	0.0557403	+	0.387682i	0.998526	+	0.0542818i	$0.0172869\pi$
$307$	0.976648	+	6.79274i	0.0557403	+	0.387682i	−0.942785	+	0.333400i	$0.891804\pi$
$308$	−5.87967	+	2.02507i	−0.335026	+	0.115389i
$309$	0.424974	−	0.490446i	0.0241759	−	0.0279005i
$310$	−1.26085	−	2.18766i	−0.0716114	−	0.124251i
$311$	−13.6851	+	21.2944i	−0.776009	+	1.20749i	0.197826	+	0.980237i	$0.436612\pi$
$311$	−13.6851	+	21.2944i	−0.776009	+	1.20749i	−0.973835	+	0.227256i	$0.927025\pi$
$312$	−12.1312	−	7.83501i	−0.686794	−	0.443570i
$313$	−6.44106	+	21.9362i	−0.364070	+	1.23991i	0.550278	+	0.834982i	$0.314522\pi$
$313$	−6.44106	+	21.9362i	−0.364070	+	1.23991i	−0.914348	+	0.404928i	$0.867296\pi$
$314$	−21.2217	−	7.36278i	−1.19761	−	0.415506i
$315$	0.659447	+	0.761043i	0.0371556	+	0.0428799i
$316$	5.38717	−	9.29849i	0.303052	−	0.523081i
$317$	0.861960	+	2.93557i	0.0484125	+	0.164878i	0.980151	−	0.198252i	$-0.0635264\pi$
$317$	0.861960	+	2.93557i	0.0484125	+	0.164878i	−0.931739	+	0.363130i	$0.881708\pi$
$318$	−1.74114	−	2.21747i	−0.0976381	−	0.124349i
$319$	0.0447684	−	0.311371i	0.00250655	−	0.0174334i
$320$	−1.24281	+	1.42126i	−0.0694754	+	0.0794510i
$321$			27.4708i			1.53327i
$322$	30.5633	−	3.80074i	1.70323	−	0.211807i
$323$	−25.2112			−1.40279
$324$	9.83130	+	3.95304i	0.546183	+	0.219613i
$325$	−17.4082	−	2.50292i	−0.965635	−	0.138837i
$326$	−4.90803	−	6.25074i	−0.271830	−	0.346196i
$327$	13.7627	−	4.04110i	0.761080	−	0.223473i
$328$	−12.7436	−	19.9282i	−0.703648	−	1.10035i
$329$	−6.57274	+	5.69531i	−0.362367	+	0.313993i
$330$	0.107521	−	0.309906i	0.00591882	−	0.0170598i
$331$	6.79447	+	1.99504i	0.373458	+	0.109657i	0.463075	−	0.886319i	$-0.346746\pi$
$331$	6.79447	+	1.99504i	0.373458	+	0.109657i	−0.0896169	+	0.995976i	$0.528564\pi$
$332$	2.06094	−	21.2451i	0.113109	−	1.16598i
$333$	−4.30098	−	2.76408i	−0.235693	−	0.151470i
$334$	16.4657	+	28.5692i	0.900966	+	1.56323i
$335$	−0.792846	−	0.687005i	−0.0433178	−	0.0375351i
$336$	15.1875	−	21.1925i	0.828546	−	1.15615i
$337$	−9.95035	+	1.43064i	−0.542030	+	0.0779322i	−0.407891	−	0.913030i	$-0.633736\pi$
$337$	−9.95035	+	1.43064i	−0.542030	+	0.0779322i	−0.134139	+	0.990963i	$0.542827\pi$
$338$	0.477325	−	0.115417i	0.0259631	−	0.00627788i
$339$	−10.4364	+	4.76613i	−0.566825	+	0.258860i
$340$	−0.901637	+	1.14298i	−0.0488981	+	0.0619868i
$341$	−2.15191	+	4.71203i	−0.116533	+	0.255171i
$342$	6.30730	−	8.84327i	0.341060	−	0.478189i
$343$	−25.2929	+	16.2548i	−1.36569	+	0.877676i
$344$	−1.87567	−	13.2580i	−0.101129	−	0.714825i
$345$	−0.837950	+	1.39183i	−0.0451137	+	0.0749336i
$346$	−21.7257	−	11.2211i	−1.16798	−	0.603250i
$347$	−16.2538	+	10.4457i	−0.872548	+	0.560753i	−0.898531	−	0.438910i	$-0.855365\pi$
$347$	−16.2538	+	10.4457i	−0.872548	+	0.560753i	0.0259830	+	0.999662i	$0.491728\pi$
$348$	0.602588	+	1.17319i	0.0323021	+	0.0628896i
$349$	0.808273	+	0.369126i	0.0432658	+	0.0197588i	0.436930	−	0.899495i	$-0.356066\pi$
$349$	0.808273	+	0.369126i	0.0432658	+	0.0197588i	−0.393665	+	0.919254i	$0.628793\pi$
$350$	6.03261	−	31.1739i	0.322457	−	1.66631i
$351$	18.2973	−	8.35608i	0.976636	−	0.446015i
$352$	3.85439	+	0.382693i	0.205440	+	0.0203976i
$353$	−3.14705	−	21.8882i	−0.167501	−	1.16499i	−0.884028	−	0.467434i	$-0.845179\pi$
$353$	−3.14705	−	21.8882i	−0.167501	−	1.16499i	0.716527	−	0.697559i	$-0.245730\pi$
$354$	7.76776	−	8.13433i	0.412852	−	0.432335i
$355$	−1.53195	−	1.32745i	−0.0813076	−	0.0704535i
$356$	2.42117	−	0.111682i	0.128321	−	0.00591911i
$357$	10.8691	−	16.9126i	0.575252	−	0.895109i
$358$	8.49601	+	21.2684i	0.449028	+	1.12407i
$359$	−8.80267	−	2.58470i	−0.464587	−	0.136415i	0.0410576	−	0.999157i	$-0.486927\pi$
$359$	−8.80267	−	2.58470i	−0.464587	−	0.136415i	−0.505645	+	0.862742i	$0.668745\pi$
$360$	−0.175350	−	0.602214i	−0.00924174	−	0.0317394i
$361$	31.3119	+	36.1359i	1.64800	+	1.90189i
$362$	−19.3556	−	0.936623i	−1.01731	−	0.0492278i
$363$	14.5040	−	4.25877i	0.761265	−	0.223528i
$364$	−6.06610	−	31.7309i	−0.317950	−	1.66315i
$365$	0.212269	−	1.47636i	0.0111107	−	0.0772765i
$366$	−0.481710	−	5.08514i	−0.0251794	−	0.265805i
$367$	−0.776830			−0.0405502			−0.0202751	−	0.999794i	$-0.506454\pi$
$367$	−0.776830			−0.0405502			−0.0202751	+	0.999794i	$0.506454\pi$
$368$	−18.2868	−	5.79603i	−0.953264	−	0.302139i
$369$	7.85836			0.409090
$370$	−0.171257	−	1.80787i	−0.00890324	−	0.0939865i
$371$	0.897567	−	6.24271i	0.0465993	−	0.324106i
$372$	−4.07817	−	21.3323i	−0.211443	−	1.10603i
$373$	−20.2102	+	5.93424i	−1.04644	+	0.307263i	−0.759379	−	0.650648i	$-0.774497\pi$
$373$	−20.2102	+	5.93424i	−1.04644	+	0.307263i	−0.287064	+	0.957911i	$0.592679\pi$
$374$	2.98316	+	0.144356i	0.154255	+	0.00746447i
$375$	2.20601	+	2.54588i	0.113918	+	0.131468i
$376$	5.20102	−	1.51441i	0.268222	−	0.0780996i
$377$	1.56799	+	0.460404i	0.0807557	+	0.0237120i
$378$	13.4719	+	33.7247i	0.692919	+	1.73461i
$379$	2.68077	−	4.17136i	0.137702	−	0.214269i	−0.765553	−	0.643373i	$-0.777534\pi$
$379$	2.68077	−	4.17136i	0.137702	−	0.214269i	0.903255	+	0.429104i	$0.141171\pi$
$380$	3.85405	−	0.177777i	0.197709	−	0.00911975i
$381$	−16.0633	−	13.9190i	−0.822950	−	0.713090i
$382$	−18.4000	+	19.2683i	−0.941426	+	0.985853i
$383$	−4.07138	−	28.3171i	−0.208038	−	1.44694i	−0.779549	−	0.626341i	$-0.784552\pi$
$383$	−4.07138	−	28.3171i	−0.208038	−	1.44694i	0.571511	−	0.820594i	$-0.306357\pi$
$384$	−14.1065	+	8.04560i	−0.719870	+	0.410575i
$385$	0.667490	−	0.304832i	0.0340184	−	0.0155357i
$386$	−5.61720	+	29.0272i	−0.285908	+	1.47745i
$387$	4.04637	+	1.84792i	0.205689	+	0.0939349i
$388$	0.0487761	+	0.0949632i	0.00247623	+	0.00482103i
$389$	12.3297	−	7.92383i	0.625141	−	0.401754i	−0.189367	−	0.981906i	$-0.560643\pi$
$389$	12.3297	−	7.92383i	0.625141	−	0.401754i	0.814508	+	0.580153i	$0.197007\pi$
$390$	1.51407	+	0.781999i	0.0766677	+	0.0395980i
$391$	−14.3086	−	3.75014i	−0.723615	−	0.189653i
$392$	38.1459	−	5.39667i	1.92666	−	0.272573i
$393$	18.8162	−	12.0924i	0.949150	−	0.609982i
$394$	10.9049	−	15.2894i	0.549381	−	0.770269i
$395$	−0.526776	+	1.15348i	−0.0265050	+	0.0580378i
$396$	−0.796957	+	1.01028i	−0.0400486	+	0.0507685i
$397$	17.5781	−	8.02764i	0.882218	−	0.402896i	0.0778071	−	0.996968i	$-0.475208\pi$
$397$	17.5781	−	8.02764i	0.882218	−	0.402896i	0.804411	+	0.594073i	$0.202481\pi$
$398$	−18.0615	+	4.36729i	−0.905343	+	0.218912i
$399$	−52.7373	+	7.58248i	−2.64017	+	0.379599i
$400$	−11.5204	+	16.0754i	−0.576018	+	0.803772i
$401$	14.2167	+	12.3189i	0.709949	+	0.615174i	0.933103	−	0.359609i	$-0.117090\pi$
$401$	14.2167	+	12.3189i	0.709949	+	0.615174i	−0.223154	+	0.974783i	$0.571635\pi$
$402$	−4.50595	−	7.81812i	−0.224736	−	0.389932i
$403$	−22.6387	−	14.5490i	−1.12771	−	0.724736i
$404$	−0.885808	+	9.13131i	−0.0440706	+	0.454300i
$405$	−1.19972	−	0.352269i	−0.0596144	−	0.0175044i
$406$	−0.967075	+	2.78739i	−0.0479951	+	0.138336i
$407$	−2.81557	+	2.43971i	−0.139563	+	0.120932i
$408$	−10.5494	+	6.74611i	−0.522275	+	0.333982i
$409$	11.7718	−	3.45652i	0.582080	−	0.170914i	0.0225808	−	0.999745i	$-0.492812\pi$
$409$	11.7718	−	3.45652i	0.582080	−	0.170914i	0.559499	+	0.828831i	$0.310994\pi$
$410$	1.72378	+	2.19536i	0.0851313	+	0.108421i
$411$	−22.1323	−	3.18214i	−1.09170	−	0.156963i
$412$	−0.838938	−	0.337326i	−0.0413315	−	0.0166189i
$413$	25.1607			1.23808
$414$	4.89511	−	4.08077i	0.240582	−	0.200559i
$415$			2.51871i			0.123638i
$416$	−4.81746	+	19.5366i	−0.236195	+	0.957862i
$417$	0.360126	−	2.50473i	0.0176354	−	0.122657i
$418$	−4.88817	−	6.22545i	−0.239088	−	0.304497i
$419$	5.68588	+	19.3643i	0.277773	+	0.946009i	0.973688	+	0.227885i	$0.0731810\pi$
$419$	5.68588	+	19.3643i	0.277773	+	0.946009i	−0.695915	+	0.718124i	$0.745001\pi$
$420$	−1.54230	+	2.66208i	−0.0752566	+	0.129896i
$421$	−13.9501	−	16.0992i	−0.679885	−	0.784629i	0.306004	−	0.952030i	$-0.401008\pi$
$421$	−13.9501	−	16.0992i	−0.679885	−	0.784629i	−0.985889	+	0.167401i	$0.946463\pi$
$422$	−12.3510	−	4.28513i	−0.601236	−	0.208597i
$423$	−0.507008	+	1.72671i	−0.0246516	+	0.0839556i
$424$	−2.13127	+	3.29991i	−0.103504	+	0.160258i
$425$	−8.24464	+	12.8289i	−0.399924	+	0.622294i
$426$	−8.70650	−	15.1063i	−0.421831	−	0.731905i
$427$	7.48272	−	8.63552i	0.362114	−	0.417902i
$428$	36.1899	−	12.4645i	1.74931	−	0.602494i
$429$	−0.497537	−	3.46044i	−0.0240213	−	0.167072i
$430$	0.371351	+	1.53577i	0.0179081	+	0.0740615i
$431$	−6.52572	−	14.2893i	−0.314333	−	0.688293i	0.684851	−	0.728683i	$-0.259867\pi$
$431$	−6.52572	−	14.2893i	−0.314333	−	0.688293i	−0.999184	+	0.0403900i	$0.987140\pi$
$432$	1.14431	−	22.5908i	0.0550557	−	1.08690i
$433$	−10.6548	−	4.86589i	−0.512038	−	0.233840i	0.142603	−	0.989780i	$-0.454453\pi$
$433$	−10.6548	−	4.86589i	−0.512038	−	0.233840i	−0.654641	+	0.755940i	$0.727180\pi$
$434$	28.2117	−	39.5548i	1.35421	−	1.89869i
$435$	−0.0841402	−	0.130925i	−0.00403421	−	0.00627736i
$436$	−11.5684	−	16.2974i	−0.554025	−	0.780503i
$437$	17.3215	+	35.1668i	0.828601	+	1.68225i
$438$	5.88739	−	11.3989i	0.281311	−	0.544659i
$439$	−8.32829	−	12.9591i	−0.397488	−	0.618503i	0.583606	−	0.812037i	$-0.301641\pi$
$439$	−8.32829	−	12.9591i	−0.397488	−	0.618503i	−0.981094	+	0.193534i	$0.938005\pi$
$440$	−0.457055	−	0.00103206i	−0.0217893	−	4.92017e-5i
$441$	−5.31682	+	11.6422i	−0.253182	+	0.554391i
$442$	−2.94779	+	15.2329i	−0.140212	+	0.724555i
$443$	2.82755	+	6.19146i	0.134341	+	0.294165i	0.964832	−	0.262866i	$-0.0846677\pi$
$443$	2.82755	+	6.19146i	0.134341	+	0.294165i	−0.830492	+	0.557031i	$0.811940\pi$
$444$	3.70538	−	15.1741i	0.175850	−	0.720129i
$445$	−0.283091	+	0.0407024i	−0.0134198	+	0.00192948i
$446$	8.11112	+	7.74560i	0.384072	+	0.366765i
$447$	−14.4610	+	16.6888i	−0.683980	+	0.789355i
$448$	−34.8101	−	10.3922i	−1.64462	−	0.490983i
$449$	2.61485	+	1.68046i	0.123403	+	0.0793060i	0.600886	−	0.799335i	$-0.294815\pi$
$449$	2.61485	+	1.68046i	0.123403	+	0.0793060i	−0.477483	+	0.878641i	$0.658451\pi$
$450$	−2.43733	−	6.10147i	−0.114897	−	0.287626i
$451$	1.61331	−	5.49442i	0.0759676	−	0.258722i
$452$	11.0142	+	11.5863i	0.518066	+	0.544972i
$453$	4.30774	−	3.73268i	0.202395	−	0.175377i
$454$	−0.502695	+	10.3884i	−0.0235927	+	0.487549i
$455$	1.07398	+	3.65765i	0.0503491	+	0.171473i
$456$	31.8203	+	9.42139i	1.49012	+	0.441197i
$457$	−14.4166	−	2.07280i	−0.674380	−	0.0969613i	−0.203388	−	0.979098i	$-0.565195\pi$
$457$	−14.4166	−	2.07280i	−0.674380	−	0.0969613i	−0.470993	+	0.882137i	$0.656104\pi$
$458$	4.02684	+	42.5091i	0.188162	+	1.98632i
$459$		−	17.4416i		−	0.814104i
$460$	2.21380	+	0.472389i	0.103219	+	0.0220253i
$461$			36.9798i			1.72232i	0.508333	+	0.861161i	$0.330262\pi$
$461$			36.9798i			1.72232i	−0.508333	+	0.861161i	$0.669738\pi$
$462$	6.28364	−	0.595243i	0.292342	−	0.0276932i
$463$	25.2741	+	3.63386i	1.17459	+	0.168880i	0.701850	−	0.712324i	$-0.252358\pi$
$463$	25.2741	+	3.63386i	1.17459	+	0.168880i	0.472735	+	0.881204i	$0.343267\pi$
$464$	1.27214	−	1.32617i	0.0590577	−	0.0615658i
$465$	0.722026	+	2.45900i	0.0334832	+	0.114033i
$466$	19.9776	+	0.966720i	0.925442	+	0.0447824i
$467$	12.2270	−	10.5947i	0.565798	−	0.490266i	−0.324351	−	0.945937i	$-0.605146\pi$
$467$	12.2270	−	10.5947i	0.565798	−	0.490266i	0.890149	+	0.455670i	$0.150600\pi$
$468$	−4.60572	−	4.84493i	−0.212900	−	0.223957i
$469$	5.68706	−	19.3684i	0.262604	−	0.894348i
$470$	−0.593600	+	0.237123i	−0.0273807	+	0.0109377i
$471$	19.1798	+	12.3261i	0.883758	+	0.567957i
$472$	−14.2407	−	6.54239i	−0.655479	−	0.301138i
$473$	2.12274	−	2.44977i	0.0976038	−	0.112641i
$474$	−7.53282	+	7.88830i	−0.345994	+	0.362321i
$475$	40.0035	−	5.75163i	1.83549	−	0.263903i
$476$	−27.2123	−	6.64502i	−1.24727	−	0.304574i
$477$	−0.542136	−	1.18711i	−0.0248227	−	0.0543541i
$478$	15.5015	+	2.99978i	0.709024	+	0.137207i
$479$	13.2951	−	29.1122i	0.607469	−	1.33017i	−0.316823	−	0.948485i	$-0.602616\pi$
$479$	13.2951	−	29.1122i	0.607469	−	1.33017i	0.924292	−	0.381687i	$-0.124657\pi$
$480$	1.56513	−	1.10567i	0.0714381	−	0.0504668i
$481$	−10.4635	−	16.2816i	−0.477097	−	0.742377i
$482$	−13.5371	−	6.99176i	−0.616598	−	0.318466i
$483$	−31.0588	−	3.54119i	−1.41322	−	0.161130i
$484$	−12.1915	−	17.1752i	−0.554159	−	0.780693i
$485$	−0.00681067	−	0.0105976i	−0.000309257	−	0.000481213i
$486$	10.7767	+	7.68628i	0.488840	+	0.348657i
$487$	15.9790	+	7.29737i	0.724079	+	0.330676i	0.743134	−	0.669143i	$-0.233339\pi$
$487$	15.9790	+	7.29737i	0.724079	+	0.330676i	−0.0190552	+	0.999818i	$0.506066\pi$
$488$	−6.48058	+	2.94191i	−0.293362	+	0.133174i
$489$	3.35090	+	7.33744i	0.151533	+	0.331810i
$490$	−4.41872	+	1.06845i	−0.199617	+	0.0482676i
$491$	2.52019	+	17.5283i	0.113735	+	0.791043i	0.964231	+	0.265062i	$0.0853924\pi$
$491$	2.52019	+	17.5283i	0.113735	+	0.791043i	−0.850497	+	0.525981i	$0.823698\pi$
$492$	7.81833	+	22.7001i	0.352478	+	1.02340i
$493$	0.927933	−	1.07089i	0.0417920	−	0.0482305i
$494$	35.6256	−	20.5327i	1.60287	−	0.923811i
$495$	0.0820913	−	0.127737i	0.00368973	−	0.00574133i
$496$	−26.2527	+	15.0518i	−1.17878	+	0.675846i
$497$	10.9887	−	37.4240i	0.492909	−	1.67869i
$498$	−7.10119	+	20.4677i	−0.318212	+	0.917179i
$499$	−28.0602	−	32.3832i	−1.25615	−	1.44967i	−0.842013	−	0.539457i	$-0.818629\pi$
$499$	−28.0602	−	32.3832i	−1.25615	−	1.44967i	−0.414135	−	0.910215i	$-0.635916\pi$
$500$	2.35298	−	4.06135i	0.105229	−	0.181629i
$501$	−9.42912	−	32.1126i	−0.421262	−	1.43469i
$502$	−20.6135	+	16.1856i	−0.920026	+	0.722397i
$503$	0.0611977	−	0.425640i	0.00272867	−	0.0189783i	−0.988412	−	0.151797i	$-0.951494\pi$
$503$	0.0611977	−	0.425640i	0.00272867	−	0.0189783i	0.991140	+	0.132819i	$0.0424029\pi$
$504$	9.13878	−	7.88274i	0.407074	−	0.351125i
$505$		−	1.08256i		−	0.0481731i
$506$	−1.84824	−	4.26035i	−0.0821642	−	0.189395i
$507$	−0.498436			−0.0221363
$508$	−11.0483	+	27.4773i	−0.490189	+	1.21911i
$509$	−25.2350	−	3.62824i	−1.11852	−	0.160819i	−0.441839	−	0.897094i	$-0.645674\pi$
$509$	−25.2350	−	3.62824i	−1.11852	−	0.160819i	−0.676682	+	0.736275i	$0.736583\pi$
$510$	1.16216	−	0.912519i	0.0514614	−	0.0404070i
$511$	27.5372	−	8.08564i	1.21817	−	0.357688i
$512$	16.9999	+	14.9333i	0.751296	+	0.659965i
$513$	−34.9335	+	30.2700i	−1.54235	+	1.33645i
$514$	−16.3119	−	5.65934i	−0.719486	−	0.249623i
$515$	0.102376	+	0.0300602i	0.00451122	+	0.00132461i
$516$	−1.31223	+	13.5271i	−0.0577678	+	0.595497i
$517$	1.10320	+	0.708981i	0.0485185	+	0.0311810i
$518$	30.2737	−	17.4482i	1.33015	−	0.766629i
$519$	18.7567	+	16.2527i	0.823326	+	0.713416i
$520$	0.343216	−	2.34945i	0.0150510	−	0.103030i
$521$	−3.97477	+	0.571486i	−0.174138	+	0.0250372i	−0.228832	−	0.973466i	$-0.573491\pi$
$521$	−3.97477	+	0.571486i	−0.174138	+	0.0250372i	0.0546942	+	0.998503i	$0.482582\pi$
$522$	0.143485	+	0.593402i	0.00628017	+	0.0259725i
$523$	22.5882	−	10.3157i	0.987714	−	0.451074i	0.144998	−	0.989432i	$-0.453683\pi$
$523$	22.5882	−	10.3157i	0.987714	−	0.451074i	0.842716	+	0.538358i	$0.180955\pi$
$524$	−24.4681	−	19.3016i	−1.06889	−	0.843195i
$525$	−13.3879	+	29.3154i	−0.584296	+	1.27943i
$526$	−24.9607	−	17.8027i	−1.08834	−	0.776236i
$527$	−19.6298	+	12.6153i	−0.855088	+	0.549531i
$528$	−3.71125	−	1.29700i	−0.161511	−	0.0564447i
$529$	4.59977	+	22.5354i	0.199990	+	0.979798i
$530$	0.212718	−	0.411854i	0.00923989	−	0.0178898i
$531$	4.37985	−	2.81476i	0.190069	−	0.122150i
$532$	33.9179	+	66.0355i	1.47053	+	2.86300i
$533$	27.0599	+	12.3579i	1.17210	+	0.535278i
$534$	−2.41523	−	0.467384i	−0.104517	−	0.0202257i
$535$	−4.10846	+	1.87627i	−0.177624	+	0.0811183i
$536$	−8.25506	+	9.48349i	−0.356564	+	0.409624i
$537$	−3.30819	−	23.0089i	−0.142759	−	0.992909i
$538$	−12.1926	−	11.6431i	−0.525660	−	0.501972i
$539$	7.04848	+	6.10755i	0.303600	+	0.263071i
$540$	0.122989	+	2.66631i	0.00529262	+	0.114740i
$541$	0.921889	−	1.43449i	0.0396351	−	0.0616734i	−0.820871	−	0.571114i	$-0.806511\pi$
$541$	0.921889	−	1.43449i	0.0396351	−	0.0616734i	0.860506	+	0.509441i	$0.170148\pi$
$542$	−5.97997	+	2.38880i	−0.256862	+	0.102608i
$543$	18.8718	+	5.54125i	0.809865	+	0.237798i
$544$	13.6740	+	10.8369i	0.586266	+	0.464627i
$545$	1.54438	+	1.78231i	0.0661539	+	0.0763457i
$546$	−1.58483	+	32.7510i	−0.0678245	+	1.40161i
$547$	29.1873	−	8.57015i	1.24796	−	0.366433i	0.409958	−	0.912104i	$-0.365543\pi$
$547$	29.1873	−	8.57015i	1.24796	−	0.366433i	0.837999	+	0.545671i	$0.183725\pi$
$548$	5.85007	+	30.6008i	0.249902	+	1.30720i
$549$	0.336489	−	2.34033i	0.0143610	−	0.0998828i
$550$	−4.76641	+	0.451517i	−0.203240	+	0.0192528i
$551$	−3.75531			−0.159981
$552$	16.6581	+	10.0803i	0.709016	+	0.429047i
$553$	−24.3997			−1.03758
$554$	21.5968	−	2.04584i	0.917561	−	0.0869195i
$555$	−0.262309	+	1.82440i	−0.0111344	+	0.0774413i
$556$	−3.46313	+	0.662058i	−0.146869	+	0.0280775i
$557$	19.9498	−	5.85780i	0.845302	−	0.248203i	0.169724	−	0.985492i	$-0.445712\pi$
$557$	19.9498	−	5.85780i	0.845302	−	0.248203i	0.675578	+	0.737289i	$0.263894\pi$
$558$	0.485914	−	10.0416i	0.0205704	−	0.425094i
$559$	11.0275	+	12.7265i	0.466415	+	0.538272i
$560$	4.20682	+	0.823941i	0.177770	+	0.0348179i
$561$	−2.90859	−	0.854038i	−0.122801	−	0.0360575i
$562$	−4.18889	+	1.67332i	−0.176698	+	0.0705847i
$563$	−15.4196	+	23.9933i	−0.649857	+	1.01120i	0.347439	+	0.937703i	$0.387051\pi$
$563$	−15.4196	+	23.9933i	−0.649857	+	1.01120i	−0.997296	+	0.0734940i	$0.976585\pi$
$564$	−5.49230	+	0.253344i	−0.231268	+	0.0106677i
$565$	−1.42562	−	1.23531i	−0.0599763	−	0.0519697i
$566$	1.17836	+	1.12526i	0.0495303	+	0.0472983i
$567$	−3.42395	−	23.8141i	−0.143792	−	1.00010i
$568$	−15.9506	+	18.3242i	−0.669272	+	0.768867i
$569$	27.2096	−	12.4262i	1.14069	−	0.520934i	0.246728	−	0.969085i	$-0.420645\pi$
$569$	27.2096	−	12.4262i	1.14069	−	0.520934i	0.893958	+	0.448151i	$0.147917\pi$
$570$	−3.84461	−	0.743990i	−0.161033	−	0.0311623i
$571$	−18.6614	−	8.52236i	−0.780954	−	0.356650i	−0.0152840	−	0.999883i	$-0.504865\pi$
$571$	−18.6614	−	8.52236i	−0.780954	−	0.356650i	−0.765670	+	0.643233i	$0.777592\pi$
$572$	−4.33303	+	2.22558i	−0.181173	+	0.0930562i
$573$	22.7489	−	14.6198i	0.950347	−	0.610751i
$574$	−24.6463	+	47.7189i	−1.02872	+	1.99175i
$575$	23.5594	+	2.68615i	0.982495	+	0.112020i
$576$	−7.22215	+	2.08523i	−0.300923	+	0.0868847i
$577$	32.4403	−	20.8481i	1.35051	−	0.867918i	0.352806	−	0.935696i	$-0.385228\pi$
$577$	32.4403	−	20.8481i	1.35051	−	0.867918i	0.997700	+	0.0677786i	$0.0215911\pi$
$578$	−8.62032	−	6.14829i	−0.358558	−	0.255735i
$579$	12.4660	−	27.2967i	0.518069	−	1.13441i
$580$	−0.134302	+	0.170251i	−0.00557660	+	0.00706930i
$581$	−44.0842	+	20.1326i	−1.82892	+	0.835241i
$582$	−0.0254667	−	0.105321i	−0.00105563	−	0.00436570i
$583$	−0.941305	+	0.135339i	−0.0389849	+	0.00560518i
$584$	−17.6882	−	2.58395i	−0.731942	−	0.106925i
$585$	0.596139	+	0.516557i	0.0246473	+	0.0213570i
$586$	29.7088	−	17.1226i	1.22726	−	0.707328i
$587$	31.5890	+	20.3010i	1.30382	+	0.837912i	0.993622	−	0.112762i	$-0.0359697\pi$
$587$	31.5890	+	20.3010i	1.30382	+	0.837912i	0.310194	+	0.950673i	$0.399606\pi$
$588$	−38.9201	−	3.77555i	−1.60504	−	0.155701i
$589$	59.3347	+	17.4222i	2.44484	+	0.717871i
$590$	1.74709	+	0.606148i	0.0719267	+	0.0249547i
$591$	−14.4054	+	12.4824i	−0.592560	+	0.513456i
$592$	−21.6715	+	2.00356i	−0.890694	+	0.0823457i
$593$	−29.4246	+	8.63985i	−1.20832	+	0.354796i	−0.823030	−	0.567998i	$-0.807718\pi$
$593$	−29.4246	+	8.63985i	−1.20832	+	0.354796i	−0.385294	+	0.922794i	$0.625900\pi$
$594$	4.30688	−	3.38173i	0.176714	−	0.138754i
$595$	3.27177	+	0.470409i	0.134129	+	0.0192849i
$596$	28.5473	+	11.4785i	1.16934	+	0.470178i
$597$	18.8603			0.771902
$598$	23.2734	−	6.35402i	0.951722	−	0.259835i
$599$			2.72631i			0.111394i	0.998448	+	0.0556970i	$0.0177381\pi$
$599$			2.72631i			0.111394i	−0.998448	+	0.0556970i	$0.982262\pi$
$600$	15.2001	−	13.1110i	0.620542	−	0.535254i
$601$	3.49977	−	24.3415i	0.142759	−	0.992909i	−0.784938	−	0.619574i	$-0.787305\pi$
$601$	3.49977	−	24.3415i	0.142759	−	0.992909i	0.927697	−	0.373334i	$-0.121786\pi$
$602$	−23.9119	+	18.7754i	−0.974578	+	0.765230i
$603$	−1.17679	−	4.00776i	−0.0479224	−	0.163209i
$604$	−6.87200	−	3.98136i	−0.279618	−	0.161999i
$605$	1.62757	+	1.87831i	0.0661700	+	0.0763643i
$606$	3.05214	−	8.79715i	0.123985	−	0.357360i
$607$	0.764725	−	2.60441i	0.0310392	−	0.105710i	−0.942516	−	0.334160i	$-0.891548\pi$
$607$	0.764725	−	2.60441i	0.0310392	−	0.105710i	0.973556	+	0.228450i	$0.0733657\pi$
$608$	−2.02631	−	46.1948i	−0.0821779	−	1.87345i
$609$	1.61899	−	2.51920i	0.0656047	−	0.102083i
$610$	0.727620	−	0.419362i	0.0294605	−	0.0169795i
$611$	−4.46124	+	5.14855i	−0.180483	+	0.208288i
$612$	−5.48036	+	1.88754i	−0.221530	+	0.0762992i
$613$	5.42641	+	37.7415i	0.219171	+	1.52437i	0.741110	+	0.671383i	$0.234300\pi$
$613$	5.42641	+	37.7415i	0.219171	+	1.52437i	−0.521940	+	0.852982i	$0.674791\pi$
$614$	−9.43331	+	2.28098i	−0.380697	+	0.0920529i
$615$	−1.17689	−	2.57703i	−0.0474567	−	0.103916i
$616$	−3.63529	−	8.00797i	−0.146470	−	0.322650i
$617$	−38.8670	−	17.7500i	−1.56473	−	0.714588i	−0.570443	−	0.821337i	$-0.693228\pi$
$617$	−38.8670	−	17.7500i	−1.56473	−	0.714588i	−0.994286	+	0.106750i	$0.965956\pi$
$618$	0.747182	+	0.532914i	0.0300561	+	0.0214370i
$619$	−0.136360	−	0.212181i	−0.00548079	−	0.00852828i	0.838502	−	0.544898i	$-0.183432\pi$
$619$	−0.136360	−	0.212181i	−0.00548079	−	0.00852828i	−0.843983	+	0.536370i	$0.819795\pi$
$620$	2.91186	−	2.06693i	0.116943	−	0.0830099i
$621$	−24.3290	+	11.9834i	−0.976290	+	0.480876i
$622$	−31.8058	−	16.4273i	−1.27529	−	0.658676i
$623$	−2.97522	−	4.62953i	−0.119200	−	0.185478i
$624$	9.41306	−	18.1246i	0.376824	−	0.725565i
$625$	10.0396	−	21.9837i	0.401584	−	0.879347i
$626$	−31.7433	−	6.14281i	−1.26872	−	0.245516i
$627$	3.33734	+	7.30775i	0.133280	+	0.291844i
$628$	7.53581	−	30.8602i	0.300711	−	1.23146i
$629$	−16.6109	+	2.38828i	−0.662319	+	0.0952271i
$630$	−0.983530	+	1.02994i	−0.0391848	+	0.0410339i
$631$	−12.2625	+	14.1516i	−0.488161	+	0.563368i	−0.945373	−	0.325990i	$-0.894302\pi$
$631$	−12.2625	+	14.1516i	−0.488161	+	0.563368i	0.457212	+	0.889358i	$0.348848\pi$
$632$	13.8099	+	6.34451i	0.549330	+	0.252371i
$633$	11.1626	+	7.17377i	0.443673	+	0.285132i
$634$	−4.01806	+	1.60508i	−0.159577	+	0.0637458i
$635$	0.984550	−	3.35307i	0.0390707	−	0.133062i
$636$	2.88978	−	2.74711i	0.114587	−	0.108930i
$637$	−36.6165	+	31.7284i	−1.45080	+	1.25712i
$638$	0.444353	+	0.0215024i	0.0175921	+	0.000851287i
$639$	−2.27381	−	7.74389i	−0.0899506	−	0.306343i
$640$	−2.16676	−	1.56022i	−0.0856489	−	0.0616730i
$641$	9.99163	+	1.43658i	0.394646	+	0.0567415i	0.336781	−	0.941583i	$-0.390662\pi$
$641$	9.99163	+	1.43658i	0.394646	+	0.0567415i	0.0578646	+	0.998324i	$0.481571\pi$
$642$	−38.6764	+	3.66378i	−1.52644	+	0.144598i
$643$			41.5622i			1.63905i	0.573042	+	0.819526i	$0.305763\pi$
$643$			41.5622i			1.63905i	−0.573042	+	0.819526i	$0.694237\pi$
$644$	9.42733	+	42.5235i	0.371489	+	1.67566i
$645$		−	1.60369i		−	0.0631454i
$646$	−3.36242	−	35.4951i	−0.132292	−	1.39654i
$647$	−6.51272	−	0.936388i	−0.256042	−	0.0368132i	0.0130987	−	0.999914i	$-0.495830\pi$
$647$	−6.51272	−	0.936388i	−0.256042	−	0.0368132i	−0.269140	+	0.963101i	$0.586740\pi$
$648$	−4.25433	+	14.3688i	−0.167126	+	0.564460i
$649$	−1.06885	−	3.64017i	−0.0419560	−	0.142889i
$650$	1.20216	−	24.8430i	0.0471527	−	0.974424i
$651$	−37.2678	+	32.2928i	−1.46064	+	1.26565i
$652$	8.14590	−	7.74372i	0.319018	−	0.303268i
$653$	13.4172	−	45.6949i	0.525057	−	1.78818i	−0.0856536	−	0.996325i	$-0.527298\pi$
$653$	13.4172	−	45.6949i	0.525057	−	1.78818i	0.610710	−	0.791854i	$-0.290884\pi$
$654$	7.52504	+	18.8377i	0.294252	+	0.736613i
$655$	3.09367	+	1.98818i	0.120880	+	0.0776846i
$656$	26.3576	−	20.5997i	1.02909	−	0.804283i
$657$	3.88898	−	4.48812i	0.151723	−	0.175098i
$658$	−8.89510	−	8.49425i	−0.346767	−	0.331140i
$659$	3.14792	−	0.452602i	0.122625	−	0.0176309i	−0.0807288	−	0.996736i	$-0.525725\pi$
$659$	3.14792	−	0.452602i	0.122625	−	0.0176309i	0.203354	+	0.979105i	$0.434816\pi$
$660$	0.450660	+	0.110048i	0.0175419	+	0.00428359i
$661$	−5.24614	−	11.4874i	−0.204051	−	0.446810i	0.779746	−	0.626096i	$-0.215348\pi$
$661$	−5.24614	−	11.4874i	−0.204051	−	0.446810i	−0.983797	+	0.179287i	$0.942621\pi$
$662$	−1.90266	+	9.83209i	−0.0739489	+	0.382135i
$663$	6.54190	−	14.3248i	0.254066	−	0.556328i
$664$	30.1861	+	0.0681624i	1.17145	+	0.00264521i
$665$	−4.73601	−	7.36937i	−0.183654	−	0.285772i
$666$	3.31795	−	6.42405i	0.128568	−	0.248927i
$667$	−2.13131	−	0.558598i	−0.0825248	−	0.0216290i
$668$	−38.0268	+	26.9926i	−1.47130	+	1.04437i
$669$	−6.15430	−	9.57627i	−0.237939	−	0.370240i
$670$	0.861499	−	1.20788i	0.0332826	−	0.0466645i
$671$	−1.56723	−	0.715732i	−0.0605024	−	0.0276305i
$672$	31.8627	+	18.5562i	1.22913	+	0.715821i
$673$	0.864883	+	1.89383i	0.0333388	+	0.0730018i	0.925569	−	0.378580i	$-0.123587\pi$
$673$	0.864883	+	1.89383i	0.0333388	+	0.0730018i	−0.892230	+	0.451581i	$0.850860\pi$
$674$	−3.34130	−	13.8184i	−0.128702	−	0.532265i
$675$	3.97909	+	27.6752i	0.153155	+	1.06522i
$676$	0.226158	+	0.656638i	0.00869839	+	0.0252553i
$677$	4.48298	−	5.17363i	0.172295	−	0.198839i	−0.663034	−	0.748589i	$-0.730732\pi$
$677$	4.48298	−	5.17363i	0.172295	−	0.198839i	0.835329	+	0.549750i	$0.185277\pi$
$678$	−8.10218	−	14.0578i	−0.311162	−	0.539887i
$679$	0.131048	−	0.203915i	0.00502916	−	0.00782553i
$680$	−1.72946	−	1.11699i	−0.0663219	−	0.0428344i
$681$	2.97405	−	10.1287i	0.113966	−	0.388132i
$682$	−6.92112	−	2.40126i	−0.265023	−	0.0919489i
$683$	−6.34960	−	7.32782i	−0.242961	−	0.280391i	0.621152	−	0.783690i	$-0.286665\pi$
$683$	−6.34960	−	7.32782i	−0.242961	−	0.280391i	−0.864112	+	0.503299i	$0.832120\pi$
$684$	13.2917	+	7.70069i	0.508222	+	0.294443i
$685$	−1.03573	−	3.52739i	−0.0395734	−	0.134775i
$686$	−26.2586	−	33.4423i	−1.00256	−	1.27683i
$687$	6.16777	−	42.8978i	0.235315	−	1.63665i
$688$	18.4160	−	4.40899i	0.702102	−	0.168091i
$689$		−	4.94032i		−	0.188211i
$690$	−2.07133	−	0.994131i	−0.0788542	−	0.0378459i
$691$	29.8763			1.13655			0.568275	−	0.822839i	$-0.307611\pi$
$691$	29.8763			1.13655			0.568275	+	0.822839i	$0.307611\pi$
$692$	12.9007	−	32.0844i	0.490413	−	1.21967i
$693$	2.89191	+	0.415795i	0.109855	+	0.0157947i
$694$	−16.8743	−	21.4907i	−0.640541	−	0.815777i
$695$	0.399198	−	0.117215i	0.0151425	−	0.00444623i
$696$	−1.57138	+	1.00486i	−0.0595630	+	0.0380891i
$697$	19.4942	−	16.8918i	0.738394	−	0.639822i
$698$	−0.411897	+	1.18721i	−0.0155905	+	0.0449364i
$699$	−19.4782	−	5.71931i	−0.736732	−	0.216324i
$700$	44.6946	+	4.33572i	1.68930	+	0.163875i
$701$	−16.6306	−	10.6878i	−0.628129	−	0.403674i	0.187487	−	0.982267i	$-0.439966\pi$
$701$	−16.6306	−	10.6878i	−0.628129	−	0.403674i	−0.815617	+	0.578593i	$0.803602\pi$
$702$	14.2049	+	24.6465i	0.536130	+	0.930221i
$703$	33.6118	+	29.1248i	1.26769	+	1.09846i
$704$	−0.0247381	+	5.47768i	−0.000932352	+	0.206448i
$705$	0.642179	−	0.0923314i	0.0241859	−	0.00347740i
$706$	30.3969	−	7.35000i	1.14400	−	0.276621i
$707$	18.9477	−	8.65313i	0.712602	−	0.325434i
$708$	12.4884	+	9.85144i	0.469343	+	0.370240i
$709$	18.0732	−	39.5749i	0.678755	−	1.48627i	−0.185203	−	0.982700i	$-0.559294\pi$
$709$	18.0732	−	39.5749i	0.678755	−	1.48627i	0.863957	−	0.503565i	$-0.167979\pi$
$710$	1.66461	−	2.33389i	0.0624716	−	0.0875895i
$711$	−4.24737	+	2.72962i	−0.159289	+	0.102369i
$712$	0.480148	+	3.39389i	0.0179943	+	0.127191i
$713$	31.0837	+	18.7139i	1.16409	+	0.700841i
$714$	25.2610	+	13.0470i	0.945370	+	0.488273i
$715$	0.483553	−	0.310761i	0.0180839	−	0.0116218i
$716$	−28.8109	+	14.7982i	−1.07671	+	0.553034i
$717$	−14.5774	−	6.65728i	−0.544403	−	0.248621i
$718$	2.46501	−	12.7381i	0.0919935	−	0.475382i
$719$	−28.5879	+	13.0556i	−1.06615	+	0.486893i	−0.869679	−	0.493617i	$-0.835674\pi$
$719$	−28.5879	+	13.0556i	−1.06615	+	0.486893i	−0.196468	+	0.980510i	$0.562947\pi$
$720$	0.824477	−	0.327194i	0.0307264	−	0.0121938i
$721$	0.292177	+	2.03214i	0.0108812	+	0.0756807i
$722$	−46.7000	+	48.9038i	−1.73799	+	1.82001i
$723$	11.6871	+	10.1269i	0.434648	+	0.376625i
$724$	−1.26277	−	27.3759i	−0.0469306	−	1.01742i
$725$	−1.22807	+	1.91092i	−0.0456094	+	0.0709697i
$726$	7.93037	+	19.8524i	0.294324	+	0.736792i
$727$	−27.2597	−	8.00417i	−1.01101	−	0.296858i	−0.266041	−	0.963962i	$-0.585716\pi$
$727$	−27.2597	−	8.00417i	−1.01101	−	0.296858i	−0.744965	+	0.667104i	$0.767534\pi$
$728$	43.8652	−	12.7725i	1.62575	−	0.473379i
$729$	−19.2068	−	22.1658i	−0.711362	−	0.820956i
$730$	2.10690	+	0.101954i	0.0779799	+	0.00377347i
$731$	14.0100	−	4.11369i	0.518177	−	0.152150i
$732$	7.09518	−	1.35641i	0.262245	−	0.0501343i
$733$	−3.67556	+	25.5641i	−0.135760	+	0.944232i	0.802093	+	0.597199i	$0.203720\pi$
$733$	−3.67556	+	25.5641i	−0.135760	+	0.944232i	−0.937853	+	0.347033i	$0.887189\pi$
$734$	−0.103606	−	1.09371i	−0.00382415	−	0.0403695i
$735$	4.61415			0.170195
$736$	5.72140	−	26.5192i	0.210893	−	0.977509i
$737$	−3.04375			−0.112118
$738$	1.04807	+	11.0639i	0.0385799	+	0.407267i
$739$	−3.35539	+	23.3372i	−0.123430	+	0.858474i	0.830194	+	0.557474i	$0.188230\pi$
$739$	−3.35539	+	23.3372i	−0.123430	+	0.858474i	−0.953624	+	0.301000i	$0.902680\pi$
$740$	2.52247	−	0.482230i	0.0927280	−	0.0177271i
$741$	−40.0443	+	11.7581i	−1.47107	+	0.431944i
$742$	8.90889	+	0.431104i	0.327056	+	0.0158263i
$743$	−13.5147	−	15.5968i	−0.495806	−	0.572190i	0.451602	−	0.892220i	$-0.350853\pi$
$743$	−13.5147	−	15.5968i	−0.495806	−	0.572190i	−0.947408	+	0.320029i	$0.896307\pi$
$744$	29.4901	−	8.58678i	1.08116	−	0.314807i
$745$	−3.48364	−	1.02289i	−0.127631	−	0.0374757i
$746$	−11.0503	−	27.6627i	−0.404581	−	1.01280i
$747$	−5.42170	+	8.43634i	−0.198370	+	0.308669i
$748$	0.194623	+	4.21927i	0.00711613	+	0.154272i
$749$	−65.6798	−	56.9119i	−2.39989	−	2.07952i
$750$	−3.29015	+	3.44541i	−0.120139	+	0.125809i
$751$	−3.24210	−	22.5493i	−0.118306	−	0.822836i	−0.959421	−	0.281979i	$-0.909009\pi$
$751$	−3.24210	−	22.5493i	−0.118306	−	0.822836i	0.841115	−	0.540857i	$-0.181900\pi$
$752$	2.82581	+	7.12059i	0.103047	+	0.259661i
$753$	24.1972	−	11.0505i	0.881795	−	0.402702i
$754$	−0.439085	+	2.26900i	−0.0159905	+	0.0826320i
$755$	0.852472	+	0.389311i	0.0310246	+	0.0141685i
$756$	−45.6846	+	23.4651i	−1.66153	+	0.853416i
$757$	−2.98809	+	1.92033i	−0.108604	+	0.0697955i	−0.593815	−	0.804601i	$-0.702379\pi$
$757$	−2.98809	+	1.92033i	−0.108604	+	0.0697955i	0.485211	+	0.874397i	$0.338743\pi$
$758$	6.23044	+	3.21795i	0.226300	+	0.116881i
$759$	0.807078	+	4.64392i	0.0292951	+	0.168564i
$760$	0.764308	+	5.40245i	0.0277244	+	0.195968i
$761$	−22.0268	+	14.1558i	−0.798472	+	0.513147i	−0.875117	−	0.483912i	$-0.839216\pi$
$761$	−22.0268	+	14.1558i	−0.798472	+	0.513147i	0.0766448	+	0.997058i	$0.475579\pi$
$762$	17.4543	−	24.4721i	0.632302	−	0.886532i
$763$	−18.8507	+	41.2773i	−0.682441	+	1.49434i
$764$	−29.5821	−	23.3358i	−1.07024	−	0.844258i
$765$	0.622158	−	0.284130i	0.0224942	−	0.0102727i
$766$	39.3249	−	9.50879i	1.42087	−	0.343567i
$767$	19.5082	−	2.80486i	0.704401	−	0.101278i
$768$	−13.2089	−	18.7877i	−0.476634	−	0.677942i
$769$	−7.95708	−	6.89485i	−0.286940	−	0.248635i	0.499482	−	0.866324i	$-0.333524\pi$
$769$	−7.95708	−	6.89485i	−0.286940	−	0.248635i	−0.786422	+	0.617689i	$0.788069\pi$
$770$	0.518200	+	0.899111i	0.0186746	+	0.0324017i
$771$	14.7424	+	9.47436i	0.530934	+	0.341211i
$772$	−41.6169	−	4.03716i	−1.49783	−	0.145301i
$773$	−12.1072	−	3.55499i	−0.435466	−	0.127864i	0.0566500	−	0.998394i	$-0.481958\pi$
$773$	−12.1072	−	3.55499i	−0.435466	−	0.127864i	−0.492116	+	0.870530i	$0.663776\pi$
$774$	−2.06204	+	5.94339i	−0.0741184	+	0.213631i
$775$	28.2692	−	24.4954i	1.01546	−	0.879902i
$776$	−0.127194	+	0.0813377i	−0.00456601	+	0.00291985i
$777$	−34.0286	+	9.99171i	−1.22077	+	0.358451i
$778$	12.8005	+	16.3023i	0.458918	+	0.584467i
$779$	−67.6645	−	9.72869i	−2.42433	−	0.348567i
$780$	−0.899053	+	2.23597i	−0.0321913	+	0.0800604i
$781$	−5.88119			−0.210446
$782$	3.37153	−	20.6453i	0.120566	−	0.738275i
$783$		−	2.59799i		−	0.0928447i
$784$	12.6855	+	52.9863i	0.453055	+	1.89237i
$785$	−0.533469	+	3.71036i	−0.0190403	+	0.132428i
$786$	19.5346	+	24.8787i	0.696775	+	0.887395i
$787$	2.33493	+	7.95203i	0.0832311	+	0.283459i	0.990583	−	0.136912i	$-0.0437179\pi$
$787$	2.33493	+	7.95203i	0.0832311	+	0.283459i	−0.907352	+	0.420372i	$0.861900\pi$
$788$	22.9805	+	13.3140i	0.818647	+	0.474290i
$789$	20.3780	+	23.5175i	0.725477	+	0.837246i
$790$	−1.69425	−	0.587814i	−0.0602787	−	0.0209135i
$791$	10.2259	−	34.8264i	0.363593	−	1.23828i
$792$	−1.52867	−	0.987303i	−0.0543190	−	0.0350823i
$793$	4.83903	−	7.52967i	0.171839	−	0.267387i
$794$	13.6466	+	23.6777i	0.484299	+	0.840291i
$795$	−0.308103	+	0.355570i	−0.0109273	+	0.0126108i
$796$	−8.55762	−	24.8466i	−0.303317	−	0.880663i
$797$	−1.68565	−	11.7240i	−0.0597089	−	0.415284i	−0.997652	−	0.0684939i	$-0.978181\pi$
$797$	−1.68565	−	11.7240i	−0.0597089	−	0.415284i	0.937943	−	0.346790i	$-0.112728\pi$
$798$	−17.7090	−	73.2381i	−0.626892	−	2.59260i
$799$	2.45389	+	5.37326i	0.0868123	+	0.190092i
$800$	−24.1692	−	14.0757i	−0.854512	−	0.497650i
$801$	−1.03582	−	0.473044i	−0.0365990	−	0.0167142i
$802$	−15.4478	+	21.6588i	−0.545479	+	0.764800i
$803$	−2.33961	−	3.64050i	−0.0825630	−	0.128471i
$804$	10.4063	−	7.38668i	0.367000	−	0.260508i
$805$	−1.59172	−	4.88694i	−0.0561008	−	0.172242i
$806$	17.4643	−	33.8136i	0.615155	−	1.19103i
$807$	9.25111	+	14.3950i	0.325655	+	0.506728i
$808$	−12.9742	−	0.0292967i	−0.456431	−	0.00103065i
$809$	−17.9094	+	39.2161i	−0.629660	+	1.37876i	0.278621	+	0.960401i	$0.410123\pi$
$809$	−17.9094	+	39.2161i	−0.629660	+	1.37876i	−0.908280	+	0.418362i	$0.862604\pi$
$810$	0.335957	−	1.73608i	0.0118043	−	0.0609995i
$811$	−6.85639	−	15.0134i	−0.240760	−	0.527192i	0.750222	−	0.661186i	$-0.229947\pi$
$811$	−6.85639	−	15.0134i	−0.240760	−	0.527192i	−0.990982	+	0.133995i	$0.957219\pi$
$812$	−4.05337	−	0.989801i	−0.142246	−	0.0347352i
$813$	6.46936	−	0.930154i	0.226890	−	0.0326219i
$814$	−3.81040	−	3.63869i	−0.133555	−	0.127536i
$815$	−0.868501	+	1.00230i	−0.0304223	+	0.0351092i
$816$	−10.9049	−	13.9529i	−0.381748	−	0.488451i
$817$	−32.5536	−	20.9210i	−1.13891	−	0.731932i
$818$	6.43648	+	16.1127i	0.225046	+	0.563367i
$819$	−4.27609	+	14.5630i	−0.149419	+	0.508873i
$820$	−2.86097	+	2.71972i	−0.0999095	+	0.0949768i
$821$	13.2755	−	11.5033i	0.463318	−	0.401468i	−0.391677	−	0.920103i	$-0.628105\pi$
$821$	13.2755	−	11.5033i	0.463318	−	0.401468i	0.854996	+	0.518635i	$0.173560\pi$
$822$	1.52839	−	31.5847i	0.0533088	−	1.10164i
$823$	12.8400	+	43.7292i	0.447576	+	1.52430i	0.806670	+	0.591001i	$0.201267\pi$
$823$	12.8400	+	43.7292i	0.447576	+	1.52430i	−0.359095	+	0.933301i	$0.616915\pi$
$824$	0.363036	−	1.22614i	0.0126470	−	0.0427146i
$825$	4.80999	+	0.691573i	0.167462	+	0.0240775i
$826$	3.35568	+	35.4240i	0.116759	+	1.23256i
$827$		−	8.83670i		−	0.307282i	−0.988127	−	0.153641i	$-0.950900\pi$
$827$		−	8.83670i		−	0.307282i	0.988127	−	0.153641i	$-0.0490999\pi$
$828$	6.39822	+	6.34763i	0.222353	+	0.220595i
$829$			39.5104i			1.37225i	0.727482	+	0.686127i	$0.240691\pi$
$829$			39.5104i			1.37225i	−0.727482	+	0.686127i	$0.759309\pi$
$830$	−3.54611	+	0.335919i	−0.123087	+	0.0116599i
$831$	−21.7943	−	3.13355i	−0.756035	−	0.108701i
$832$	−28.1483	−	4.17696i	−0.975868	−	0.144810i
$833$	11.8359	+	40.3094i	0.410090	+	1.39664i
$834$	3.57447	+	0.172970i	0.123774	+	0.00598945i
$835$	4.15867	−	3.60351i	0.143917	−	0.124705i
$836$	8.11294	−	7.71239i	0.280592	−	0.266739i
$837$	−12.0530	+	41.0489i	−0.416614	+	1.41886i
$838$	−26.5049	+	10.5878i	−0.915597	+	0.365750i
$839$	17.8238	+	11.4547i	0.615346	+	0.395459i	0.810858	−	0.585242i	$-0.199001\pi$
$839$	17.8238	+	11.4547i	0.615346	+	0.395459i	−0.195512	+	0.980701i	$0.562637\pi$
$840$	−3.95367	−	1.81638i	−0.136415	−	0.0626711i
$841$	−18.8527	+	21.7572i	−0.650095	+	0.750249i
$842$	20.8058	−	21.7876i	0.717015	−	0.750851i
$843$	4.53170	−	0.651559i	0.156080	−	0.0224409i
$844$	4.38583	−	17.9606i	0.150966	−	0.618228i
$845$	−0.0340435	−	0.0745448i	−0.00117113	−	0.00256442i
$846$	−2.49867	−	0.483531i	−0.0859062	−	0.0166241i
$847$	−19.8661	+	43.5007i	−0.682607	+	1.49470i
$848$	−4.93023	−	2.56053i	−0.169305	−	0.0879289i
$849$	−0.894082	−	1.39122i	−0.0306848	−	0.0477465i
$850$	−19.1616	−	9.89673i	−0.657236	−	0.339455i
$851$	14.7440	+	21.5294i	0.505417	+	0.738018i
$852$	20.1072	−	14.2727i	0.688861	−	0.488975i
$853$	11.1962	+	17.4217i	0.383352	+	0.596507i	0.978284	−	0.207269i	$-0.0664575\pi$
$853$	11.1962	+	17.4217i	0.383352	+	0.596507i	−0.594932	+	0.803776i	$0.702821\pi$
$854$	13.1560	+	9.38329i	0.450190	+	0.321090i
$855$	−1.64884	−	0.753000i	−0.0563891	−	0.0257521i
$856$	22.3755	+	49.2898i	0.764780	+	1.68469i
$857$	2.38845	+	5.22998i	0.0815879	+	0.178653i	0.946029	−	0.324081i	$-0.105055\pi$
$857$	2.38845	+	5.22998i	0.0815879	+	0.178653i	−0.864441	+	0.502733i	$0.832328\pi$
$858$	4.80564	−	1.16201i	0.164062	−	0.0396702i
$859$	0.971907	+	6.75976i	0.0331610	+	0.230640i	0.999661	−	0.0260257i	$-0.00828516\pi$
$859$	0.971907	+	6.75976i	0.0331610	+	0.230640i	−0.966500	+	0.256666i	$0.917376\pi$
$860$	−2.11270	+	0.727654i	−0.0720426	+	0.0248128i
$861$	35.6979	−	41.1976i	1.21658	−	1.40401i
$862$	19.2478	−	11.0934i	0.655582	−	0.377843i
$863$	−19.9156	+	30.9893i	−0.677936	+	1.05489i	0.316401	+	0.948625i	$0.397525\pi$
$863$	−19.9156	+	30.9893i	−0.677936	+	1.05489i	−0.994338	+	0.106264i	$0.966111\pi$
$864$	31.9584	−	1.40184i	1.08725	−	0.0476917i
$865$	−1.14963	+	3.91527i	−0.0390885	+	0.133123i
$866$	5.42971	−	15.6500i	0.184509	−	0.531808i
$867$	7.03769	+	8.12193i	0.239012	+	0.275835i
$868$	59.4522	+	34.4442i	2.01794	+	1.16911i
$869$	1.03652	+	3.53007i	0.0351616	+	0.119749i
$870$	0.173108	−	0.135923i	0.00586893	−	0.00460823i
$871$	2.25030	−	15.6512i	0.0762484	−	0.530319i
$872$	21.4024	−	18.4608i	0.724776	−	0.625162i
$873$		−	0.0501569i		−	0.00169755i
$874$	−47.2015	+	29.0773i	−1.59661	+	0.983556i
$875$	−10.6572			−0.360278
$876$	16.8338	+	6.76866i	0.568761	+	0.228692i
$877$	−22.6218	−	3.25252i	−0.763883	−	0.109830i	−0.250648	−	0.968078i	$-0.580644\pi$
$877$	−22.6218	−	3.25252i	−0.763883	−	0.109830i	−0.513234	+	0.858248i	$0.671553\pi$
$878$	17.1345	−	13.4538i	0.578261	−	0.454045i
$879$	−33.3937	+	9.80526i	−1.12634	+	0.330723i
$880$	−0.0595044	−	0.643631i	−0.00200589	−	0.0216968i
$881$	11.4607	−	9.93074i	0.386120	−	0.334575i	−0.440073	−	0.897962i	$-0.645047\pi$
$881$	11.4607	−	9.93074i	0.386120	−	0.334575i	0.826193	+	0.563387i	$0.190502\pi$
$882$	−17.1003	−	5.93289i	−0.575797	−	0.199771i
$883$	−13.6072	−	3.99543i	−0.457918	−	0.134457i	0.0446347	−	0.999003i	$-0.485788\pi$
$883$	−13.6072	−	3.99543i	−0.457918	−	0.134457i	−0.502553	+	0.864546i	$0.667606\pi$
$884$	−21.8397	−	2.11862i	−0.734548	−	0.0712569i
$885$	−1.57899	−	1.01476i	−0.0530773	−	0.0341107i
$886$	−8.33992	+	4.80669i	−0.280185	+	0.161484i
$887$	7.93253	+	6.87358i	0.266348	+	0.230792i	0.777787	−	0.628527i	$-0.216342\pi$
$887$	7.93253	+	6.87358i	0.266348	+	0.230792i	−0.511439	+	0.859319i	$0.670887\pi$
$888$	21.8579	+	3.19309i	0.733503	+	0.107153i
$889$	66.5576	−	9.56954i	2.23227	−	0.320952i
$890$	−0.0950612	−	0.393139i	−0.00318646	−	0.0131780i
$891$	−3.29990	+	1.50701i	−0.110551	+	0.0504868i
$892$	−9.82333	+	12.4528i	−0.328909	+	0.416949i
$893$	6.50328	−	14.2402i	0.217624	−	0.476530i
$894$	−25.4251	−	18.1340i	−0.850341	−	0.606490i
$895$	3.21521	−	2.06629i	0.107473	−	0.0690685i
$896$	9.98861	−	50.3955i	0.333696	−	1.68360i
$897$	−24.4761	+	0.716718i	−0.817232	+	0.0239305i
$898$	−2.01720	+	3.90560i	−0.0673149	+	0.130332i
$899$	−2.92394	+	1.87910i	−0.0975187	+	0.0626715i
$900$	8.26525	−	4.24530i	0.275508	−	0.141510i
$901$	−3.89660	−	1.77952i	−0.129815	−	0.0592844i
$902$	7.95081	+	1.53860i	0.264733	+	0.0512298i
$903$	28.0691	−	12.8187i	0.934080	−	0.426580i
$904$	−14.8435	+	17.0523i	−0.493686	+	0.567152i
$905$	0.460218	+	3.20089i	0.0152982	+	0.106401i
$906$	5.82981	+	5.56709i	0.193682	+	0.184954i
$907$	19.4306	+	16.8367i	0.645183	+	0.559054i	0.914797	−	0.403915i	$-0.132351\pi$
$907$	19.4306	+	16.8367i	0.645183	+	0.559054i	−0.269614	+	0.962968i	$0.586896\pi$
$908$	−14.6929	+	0.677743i	−0.487602	+	0.0224917i
$909$	2.33029	−	3.62600i	0.0772907	−	0.120267i
$910$	−5.00641	+	1.99989i	−0.165961	+	0.0662958i
$911$	−41.3738	−	12.1484i	−1.37077	−	0.402496i	−0.488226	−	0.872717i	$-0.662356\pi$
$911$	−41.3738	−	12.1484i	−1.37077	−	0.402496i	−0.882548	+	0.470221i	$0.844174\pi$
$912$	−9.02060	+	46.0567i	−0.298702	+	1.52509i
$913$	4.78546	+	5.52272i	0.158376	+	0.182775i
$914$	0.995569	−	20.5737i	0.0329305	−	0.680519i
$915$	−0.817868	+	0.240148i	−0.0270379	+	0.00793904i
$916$	−59.3119	+	11.3389i	−1.95972	+	0.374646i
$917$	−10.0702	+	70.0397i	−0.332547	+	2.31291i
$918$	24.5562	−	2.32618i	0.810475	−	0.0767755i
$919$	6.71935			0.221651			0.110825	−	0.993840i	$-0.464651\pi$
$919$	6.71935			0.221651			0.110825	+	0.993840i	$0.464651\pi$
$920$	−0.369828	+	3.17984i	−0.0121929	+	0.104836i
$921$	9.85052			0.324586
$922$	−52.0643	+	4.93199i	−1.71465	+	0.162427i
$923$	4.34807	−	30.2415i	0.143119	−	0.995411i
$924$	1.67610	+	8.76742i	0.0551396	+	0.288427i
$925$	25.8122	−	7.57914i	0.848699	−	0.249201i
$926$	−1.74536	+	36.0683i	−0.0573559	+	1.18528i
$927$	0.278198	+	0.321058i	0.00913722	+	0.0105449i
$928$	2.03679	+	1.61419i	0.0668609	+	0.0529885i
$929$	−20.7791	−	6.10131i	−0.681742	−	0.200177i	−0.0775166	−	0.996991i	$-0.524699\pi$
$929$	−20.7791	−	6.10131i	−0.681742	−	0.200177i	−0.604225	+	0.796814i	$0.706517\pi$
$930$	−3.36575	+	1.34450i	−0.110367	+	0.0440880i
$931$	60.1937	−	93.6632i	1.97277	−	3.06969i
$932$	1.30335	+	28.2555i	0.0426926	+	0.925541i
$933$	27.4591	+	23.7935i	0.898972	+	0.778964i
$934$	16.5472	+	15.8015i	0.541440	+	0.517041i
$935$	−0.0709305	−	0.493332i	−0.00231968	−	0.0161337i
$936$	6.20696	−	7.13062i	0.202881	−	0.233071i
$937$	10.7459	−	4.90750i	0.351054	−	0.160321i	−0.232081	−	0.972697i	$-0.574553\pi$
$937$	10.7459	−	4.90750i	0.351054	−	0.160321i	0.583135	+	0.812376i	$0.301826\pi$
$938$	28.0274	+	5.42372i	0.915127	+	0.177091i
$939$	29.8509	+	13.6324i	0.974147	+	0.444878i
$940$	−0.413017	−	0.804111i	−0.0134711	−	0.0262272i
$941$	8.89618	−	5.71723i	0.290007	−	0.186376i	−0.387545	−	0.921851i	$-0.626677\pi$
$941$	8.89618	−	5.71723i	0.290007	−	0.186376i	0.677553	+	0.735474i	$0.263041\pi$
$942$	−14.7960	+	28.6473i	−0.482081	+	0.933381i
$943$	−36.9557	−	15.5865i	−1.20344	−	0.507567i
$944$	7.31183	−	20.9221i	0.237980	−	0.680957i
$945$	5.09827	−	3.27646i	0.165847	−	0.106583i
$946$	3.73217	+	2.66190i	0.121343	+	0.0865460i
$947$	−6.29794	+	13.7906i	−0.204656	+	0.448133i	−0.983931	−	0.178548i	$-0.942860\pi$
$947$	−6.29794	+	13.7906i	−0.204656	+	0.448133i	0.779276	+	0.626681i	$0.215587\pi$
$948$	−12.1107	−	9.55348i	−0.393336	−	0.310282i
$949$	20.4494	−	9.33895i	0.663817	−	0.303155i
$950$	13.4330	+	55.5542i	0.435825	+	1.80242i
$951$	4.34689	−	0.624988i	0.140957	−	0.0202666i
$952$	5.72630	−	39.1987i	0.185590	−	1.27044i
$953$	−10.3981	−	9.01004i	−0.336829	−	0.291864i	0.469979	−	0.882677i	$-0.344261\pi$
$953$	−10.3981	−	9.01004i	−0.336829	−	0.291864i	−0.806808	+	0.590814i	$0.798807\pi$
$954$	1.59904	−	0.921604i	0.0517709	−	0.0298380i
$955$	3.74026	+	2.40372i	0.121032	+	0.0777826i
$956$	−2.15598	+	22.2249i	−0.0697295	+	0.718804i
$957$	−0.433245	−	0.127212i	−0.0140048	−	0.00411219i
$958$	42.7606	+	14.8356i	1.38153	+	0.479318i
$959$	53.4601	−	46.3235i	1.72632	−	1.49586i
$960$	1.76543	+	2.05610i	0.0569789	+	0.0663604i
$961$	25.1724	−	7.39128i	0.812012	−	0.238428i
$962$	21.5275	−	16.9032i	0.694075	−	0.544982i
$963$	−17.8000	−	2.55925i	−0.573597	−	0.0824708i
$964$	8.03833	−	19.9915i	0.258897	−	0.643883i
$965$	4.93387			0.158827
$966$	0.843380	−	44.2003i	0.0271353	−	1.42212i
$967$		−	21.6630i		−	0.696634i	−0.937377	−	0.348317i	$-0.886753\pi$
$967$		−	21.6630i		−	0.696634i	0.937377	−	0.348317i	$-0.113247\pi$
$968$	22.5552	−	19.4552i	0.724952	−	0.625314i
$969$	−5.15009	+	35.8197i	−0.165445	+	1.15069i
$970$	0.0140122	−	0.0110022i	0.000449903	−	0.000353260i
$971$	−0.484635	−	1.65051i	−0.0155527	−	0.0529675i	0.951351	−	0.308109i	$-0.0996961\pi$
$971$	−0.484635	−	1.65051i	−0.0155527	−	0.0529675i	−0.966904	+	0.255141i	$0.917878\pi$
$972$	−9.38430	+	16.1977i	−0.301002	+	0.519542i
$973$	5.24247	+	6.05014i	0.168066	+	0.193958i
$974$	−8.14293	+	23.4703i	−0.260916	+	0.752036i
$975$	−7.11223	+	24.2220i	−0.227774	+	0.775726i
$976$	−5.00627	−	8.73172i	−0.160247	−	0.279495i
$977$	2.87078	−	4.46703i	0.0918445	−	0.142913i	−0.792291	−	0.610143i	$-0.791112\pi$
$977$	2.87078	−	4.46703i	0.0918445	−	0.142913i	0.884136	+	0.467231i	$0.154748\pi$
$978$	−9.88355	+	5.69635i	−0.316041	+	0.182149i
$979$	−0.543396	+	0.627112i	−0.0173670	+	0.0200426i
$980$	−2.09360	−	6.07866i	−0.0668777	−	0.194176i
$981$	1.33630	+	9.29419i	0.0426649	+	0.296741i
$982$	−24.3422	+	5.88596i	−0.776791	+	0.187829i
$983$	0.662677	+	1.45106i	0.0211361	+	0.0462816i	0.919906	−	0.392140i	$-0.128265\pi$
$983$	0.662677	+	1.45106i	0.0211361	+	0.0462816i	−0.898770	+	0.438421i	$0.855538\pi$
$984$	−30.9170	+	14.0350i	−0.985597	+	0.447420i
$985$	−2.85073	−	1.30189i	−0.0908319	−	0.0414815i
$986$	1.63148	+	1.16362i	0.0519569	+	0.0370573i
$987$	6.74914	+	10.5019i	0.214828	+	0.334278i
$988$	33.6596	+	47.4192i	1.07086	+	1.50861i
$989$	−15.3638	−	16.7159i	−0.488539	−	0.531536i
$990$	0.190790	+	0.0985410i	0.00606371	+	0.00313184i
$991$	−16.4628	−	25.6166i	−0.522957	−	0.813737i	0.474841	−	0.880072i	$-0.342506\pi$
$991$	−16.4628	−	25.6166i	−0.522957	−	0.813737i	−0.997797	+	0.0663351i	$0.978869\pi$
$992$	−24.6929	−	34.9540i	−0.784001	−	1.10979i
$993$	4.22248	−	9.24594i	0.133996	−	0.293411i
$994$	54.1552	+	10.4798i	1.71770	+	0.332400i
$995$	1.28817	+	2.82071i	0.0408378	+	0.0894224i
$996$	−29.7638	−	7.26807i	−0.943101	−	0.230298i
$997$	42.6828	−	6.13686i	1.35178	−	0.194356i	0.571918	−	0.820311i	$-0.306199\pi$
$997$	42.6828	−	6.13686i	1.35178	−	0.194356i	0.779860	+	0.625954i	$0.215290\pi$
$998$	41.8503	−	43.8252i	1.32475	−	1.38726i
$999$	−20.1491	+	23.2533i	−0.637488	+	0.735700i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.11.13	yes	220
4.3	odd	2		736.2.r.a.655.8		220
8.3	odd	2	inner	184.2.j.a.11.5	✓	220
8.5	even	2		736.2.r.a.655.7		220
23.21	odd	22	inner	184.2.j.a.67.5	yes	220
92.67	even	22		736.2.r.a.527.7		220
184.21	odd	22		736.2.r.a.527.8		220
184.67	even	22	inner	184.2.j.a.67.13	yes	220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.11.5	✓	220	8.3	odd	2	inner
184.2.j.a.11.13	yes	220	1.1	even	1	trivial
184.2.j.a.67.5	yes	220	23.21	odd	22	inner
184.2.j.a.67.13	yes	220	184.67	even	22	inner
736.2.r.a.527.7		220	92.67	even	22
736.2.r.a.527.8		220	184.21	odd	22
736.2.r.a.655.7		220	8.5	even	2
736.2.r.a.655.8		220	4.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.133370 + 1.40791i) q^{2} +(0.204278 - 1.42078i) q^{3} +(-1.96442 + 0.375546i) q^{4} +(0.226441 - 0.0664891i) q^{5} +(2.02758 + 0.0981153i) q^{6} +(2.97374 + 3.43188i) q^{7} +(-0.790730 - 2.71565i) q^{8} +(0.901582 + 0.264728i) q^{9} +(0.123811 + 0.309941i) q^{10} +(0.370186 - 0.576021i) q^{11} +(0.132281 + 2.86774i) q^{12} +(2.68825 + 2.32939i) q^{13} +(-4.43517 + 4.64447i) q^{14} +(-0.0482098 - 0.335306i) q^{15} +(3.71793 - 1.47546i) q^{16} +(2.80559 - 1.28127i) q^{17} +(-0.252470 + 1.30465i) q^{18} +(-7.43535 - 3.39561i) q^{19} +(-0.419857 + 0.215652i) q^{20} +(5.48343 - 3.52398i) q^{21} +(0.860358 + 0.444365i) q^{22} +(-3.71482 - 3.03317i) q^{23} +(-4.01988 + 0.568709i) q^{24} +(-4.15941 + 2.67309i) q^{25} +(-2.92104 + 4.09549i) q^{26} +(2.34915 - 5.14392i) q^{27} +(-7.13052 - 5.62489i) q^{28} +(0.417903 - 0.190850i) q^{29} +(0.465652 - 0.112595i) q^{30} +(-7.48838 + 1.07667i) q^{31} +(2.57318 + 5.03773i) q^{32} +(-0.742780 - 0.643623i) q^{33} +(2.17809 + 3.77913i) q^{34} +(0.901560 + 0.579397i) q^{35} +(-1.87051 - 0.181454i) q^{36} +(-5.22059 - 1.53290i) q^{37} +(3.78906 - 10.9212i) q^{38} +(3.85870 - 3.34359i) q^{39} +(-0.359615 - 0.562360i) q^{40} +(8.02436 - 2.35616i) q^{41} +(5.69278 + 7.25018i) q^{42} +(4.68591 + 0.673732i) q^{43} +(-0.510881 + 1.27057i) q^{44} +0.221757 q^{45} +(3.77499 - 5.63467i) q^{46} +1.91520i q^{47} +(-1.33682 - 5.58378i) q^{48} +(-1.93846 + 13.4823i) q^{49} +(-4.31822 - 5.49957i) q^{50} +(-1.24729 - 4.24787i) q^{51} +(-6.15567 - 3.56634i) q^{52} +(-0.909518 - 1.04964i) q^{53} +(7.55548 + 2.62135i) q^{54} +(0.0455263 - 0.155048i) q^{55} +(6.96835 - 10.7893i) q^{56} +(-6.34331 + 9.87038i) q^{57} +(0.324435 + 0.562917i) q^{58} +(3.62842 - 4.18742i) q^{59} +(0.220627 + 0.640579i) q^{60} +(-0.358102 - 2.49066i) q^{61} +(-2.51458 - 10.3994i) q^{62} +(1.77255 + 3.88135i) q^{63} +(-6.74949 + 4.29469i) q^{64} +(0.763611 + 0.348729i) q^{65} +(0.807099 - 1.13161i) q^{66} +(-2.40329 - 3.73959i) q^{67} +(-5.03019 + 3.57058i) q^{68} +(-5.06833 + 4.65835i) q^{69} +(-0.695499 + 1.34659i) q^{70} +(-4.64369 - 7.22572i) q^{71} +(0.00600129 - 2.65771i) q^{72} +(2.62546 - 5.74895i) q^{73} +(1.46192 - 7.55457i) q^{74} +(2.94821 + 6.45568i) q^{75} +(15.8814 + 3.87811i) q^{76} +(3.07767 - 0.442502i) q^{77} +(5.22211 + 4.98678i) q^{78} +(-3.51867 + 4.06077i) q^{79} +(0.743791 - 0.581308i) q^{80} +(-4.45708 - 2.86439i) q^{81} +(4.38748 + 10.9833i) q^{82} +(-3.00677 + 10.2401i) q^{83} +(-9.44836 + 8.98188i) q^{84} +(0.550110 - 0.476673i) q^{85} +(-0.323595 + 6.68720i) q^{86} +(-0.185788 - 0.632736i) q^{87} +(-1.85699 - 0.549818i) q^{88} +(-1.19953 - 0.172467i) q^{89} +(0.0295757 + 0.312214i) q^{90} +16.1528i q^{91} +(8.43658 + 4.56335i) q^{92} +10.8593i q^{93} +(-2.69643 + 0.255430i) q^{94} +(-1.90944 - 0.274536i) q^{95} +(7.68317 - 2.62683i) q^{96} +(-0.0150385 - 0.0512164i) q^{97} +(-19.2404 - 0.931048i) q^{98} +(0.486242 - 0.421331i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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