LMFDB - Embedded newform 507.2.m.b.40.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [507,2,Mod(40,507)] 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("507.40"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(507, base_ring=CyclotomicField(26)) chi = DirichletCharacter(H, H._module([0, 2])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 507 = 3 \cdot 13^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	507.m (of order $13$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [204] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$4.04841538248$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$17$ over $\Q(\zeta_{13})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label			40.4
Character	$\chi$	$=$	507.40
Dual form			507.2.m.b.469.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.94540 - 0.479497i) q^{2} +(0.120537 - 0.992709i) q^{3} +(1.78373 + 0.936175i) q^{4} +(1.40868 - 2.04083i) q^{5} +(-0.710492 + 1.87341i) q^{6} +(-0.476086 - 0.421776i) q^{7} +(-0.0217150 - 0.0192378i) q^{8} +(-0.970942 - 0.239316i) q^{9} +(-3.71901 + 3.29475i) q^{10} +(6.24402 - 1.53901i) q^{11} +(1.14435 - 1.65788i) q^{12} +(3.13063 + 1.78862i) q^{13} +(0.723936 + 1.04880i) q^{14} +(-1.85615 - 1.64440i) q^{15} +(-2.25569 - 3.26793i) q^{16} +(0.655738 + 0.580933i) q^{17} +(1.77411 + 0.931127i) q^{18} -0.644925 q^{19} +(4.42328 - 2.32152i) q^{20} +(-0.476086 + 0.421776i) q^{21} -12.8850 q^{22} +6.72877 q^{23} +(-0.0217150 + 0.0192378i) q^{24} +(-0.407565 - 1.07466i) q^{25} +(-5.23267 - 4.98070i) q^{26} +(-0.354605 + 0.935016i) q^{27} +(-0.454355 - 1.19804i) q^{28} +(0.519660 + 0.128085i) q^{29} +(2.82246 + 4.08903i) q^{30} +(-2.75234 + 7.25733i) q^{31} +(2.84182 + 7.49326i) q^{32} +(-0.775159 - 6.38400i) q^{33} +(-0.997114 - 1.44457i) q^{34} +(-1.53142 + 0.377462i) q^{35} +(-1.50786 - 1.33585i) q^{36} +(-0.556277 + 1.46678i) q^{37} +(1.25463 + 0.309240i) q^{38} +(2.15293 - 2.89221i) q^{39} +(-0.0698504 + 0.0172166i) q^{40} +(0.974849 - 8.02860i) q^{41} +(1.12842 - 0.592239i) q^{42} +(-3.03093 - 7.99190i) q^{43} +(12.5785 + 3.10031i) q^{44} +(-1.85615 + 1.64440i) q^{45} +(-13.0901 - 3.22642i) q^{46} +(-5.45513 + 2.86308i) q^{47} +(-3.51600 + 1.84534i) q^{48} +(-0.794993 - 6.54736i) q^{49} +(0.277579 + 2.28607i) q^{50} +(0.655738 - 0.580933i) q^{51} +(3.90974 + 6.12124i) q^{52} +(-6.31918 - 5.59830i) q^{53} +(1.13818 - 1.64894i) q^{54} +(5.65497 - 14.9109i) q^{55} +(0.00222417 + 0.0183177i) q^{56} +(-0.0777372 + 0.640223i) q^{57} +(-0.949528 - 0.498351i) q^{58} +(0.707866 - 1.02552i) q^{59} +(-1.77142 - 4.67086i) q^{60} +(1.05887 - 0.938076i) q^{61} +(8.83426 - 12.7986i) q^{62} +(0.361315 + 0.523455i) q^{63} +(-0.978205 - 8.05624i) q^{64} +(8.06032 - 3.86947i) q^{65} +(-1.55312 + 12.7911i) q^{66} +(-12.7507 + 6.69208i) q^{67} +(0.625806 + 1.65012i) q^{68} +(0.811063 - 6.67971i) q^{69} +3.16022 q^{70} +(0.115591 - 0.951978i) q^{71} +(0.0164801 + 0.0238755i) q^{72} +(-2.16614 + 0.533907i) q^{73} +(1.78550 - 2.58674i) q^{74} +(-1.11595 + 0.275057i) q^{75} +(-1.15037 - 0.603763i) q^{76} +(-3.62181 - 1.90087i) q^{77} +(-5.57511 + 4.59416i) q^{78} +(6.15744 - 3.23168i) q^{79} -9.84682 q^{80} +(0.885456 + 0.464723i) q^{81} +(-5.74616 + 15.1514i) q^{82} +(0.408330 + 3.36290i) q^{83} +(-1.24407 + 0.306635i) q^{84} +(2.10931 - 0.519898i) q^{85} +(2.06426 + 17.0007i) q^{86} +(0.189789 - 0.500432i) q^{87} +(-0.165196 - 0.0867015i) q^{88} -3.17336 q^{89} +(4.39943 - 2.30900i) q^{90} +(-0.736053 - 2.17196i) q^{91} +(12.0023 + 6.29931i) q^{92} +(6.87266 + 3.60705i) q^{93} +(11.9852 - 2.95409i) q^{94} +(-0.908494 + 1.31618i) q^{95} +(7.78117 - 1.91789i) q^{96} +(7.24297 + 10.4933i) q^{97} +(-1.59286 + 13.1184i) q^{98} -6.43089 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - q^{2} - 17 q^{3} - 21 q^{4} - 6 q^{5} - q^{6} - 8 q^{7} - 9 q^{8} - 17 q^{9} - 6 q^{10} - 8 q^{11} - 21 q^{12} + 54 q^{13} - 30 q^{14} - 6 q^{15} - 45 q^{16} - 18 q^{17} - q^{18} - 20 q^{19}+ \cdots + 18 q^{99}+O(q^{100}) $ 204 * q - q^2 - 17 * q^3 - 21 * q^4 - 6 * q^5 - q^6 - 8 * q^7 - 9 * q^8 - 17 * q^9 - 6 * q^10 - 8 * q^11 - 21 * q^12 + 54 * q^13 - 30 * q^14 - 6 * q^15 - 45 * q^16 - 18 * q^17 - q^18 - 20 * q^19 - 58 * q^20 - 8 * q^21 + 44 * q^22 + 40 * q^23 - 9 * q^24 + 7 * q^25 - 2 * q^26 - 17 * q^27 - 40 * q^28 + 11 * q^29 - 6 * q^30 + 2 * q^31 + 61 * q^32 + 5 * q^33 - q^34 + 11 * q^35 - 21 * q^36 - 34 * q^37 + 17 * q^38 - 11 * q^39 - 31 * q^40 - 58 * q^41 + 35 * q^42 + 32 * q^43 - 41 * q^44 - 6 * q^45 + 76 * q^46 - 36 * q^47 - 45 * q^48 + 9 * q^49 - 35 * q^50 - 18 * q^51 - 24 * q^52 + 66 * q^53 - q^54 + 7 * q^55 - 114 * q^56 - 7 * q^57 - 60 * q^58 + 40 * q^59 + 59 * q^60 - 54 * q^61 - 31 * q^62 - 8 * q^63 + 75 * q^64 - 26 * q^65 + 18 * q^66 + 2 * q^67 + 26 * q^68 - 12 * q^69 - 56 * q^70 - 37 * q^71 - 9 * q^72 + 70 * q^73 + 174 * q^74 - 45 * q^75 - 26 * q^76 + 24 * q^78 - 66 * q^79 + 126 * q^80 - 17 * q^81 - 17 * q^82 - 2 * q^83 - 40 * q^84 + 54 * q^85 + 61 * q^86 + 24 * q^87 + 94 * q^88 - 114 * q^89 - 6 * q^90 + 104 * q^91 - 78 * q^92 + 67 * q^93 - 63 * q^94 - 70 * q^95 - 4 * q^96 + 36 * q^97 - 65 * q^98 + 18 * q^99

Character values

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

$n$	$170$	$340$
$\chi(n)$	$1$	$e\left(\frac{1}{13}\right)$

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 $

$2$	−1.94540	−	0.479497i	−1.37560	−	0.339055i	−0.518886	−	0.854844i	$-0.673653\pi$
$2$	−1.94540	−	0.479497i	−1.37560	−	0.339055i	−0.856716	+	0.515788i	$0.827499\pi$
$3$	0.120537	−	0.992709i	0.0695919	−	0.573141i
$3$	0.120537	−	0.992709i	0.0695919	−	0.573141i
$4$	1.78373	+	0.936175i	0.891866	+	0.468088i
$5$	1.40868	−	2.04083i	0.629981	−	0.912685i	−0.369885	−	0.929078i	$-0.620603\pi$
$5$	1.40868	−	2.04083i	0.629981	−	0.912685i	0.999866	+	0.0163927i	$0.00521818\pi$
$6$	−0.710492	+	1.87341i	−0.290057	+	0.764818i
$7$	−0.476086	−	0.421776i	−0.179944	−	0.159416i	0.568343	−	0.822792i	$-0.307585\pi$
$7$	−0.476086	−	0.421776i	−0.179944	−	0.159416i	−0.748287	+	0.663376i	$0.769123\pi$
$8$	−0.0217150	−	0.0192378i	−0.00767740	−	0.00680158i
$9$	−0.970942	−	0.239316i	−0.323647	−	0.0797719i
$10$	−3.71901	+	3.29475i	−1.17605	+	1.04189i
$11$	6.24402	−	1.53901i	1.88264	−	0.464030i	0.882662	−	0.470009i	$-0.155749\pi$
$11$	6.24402	−	1.53901i	1.88264	−	0.464030i	0.999982	+	0.00597882i	$0.00190313\pi$
$12$	1.14435	−	1.65788i	0.330347	−	0.478590i
$13$	3.13063	+	1.78862i	0.868280	+	0.496074i
$13$	3.13063	+	1.78862i	0.868280	+	0.496074i
$14$	0.723936	+	1.04880i	0.193480	+	0.280304i
$15$	−1.85615	−	1.64440i	−0.479255	−	0.424583i
$16$	−2.25569	−	3.26793i	−0.563922	−	0.816983i
$17$	0.655738	+	0.580933i	0.159040	+	0.140897i	0.738890	−	0.673826i	$-0.235350\pi$
$17$	0.655738	+	0.580933i	0.159040	+	0.140897i	−0.579850	+	0.814723i	$0.696889\pi$
$18$	1.77411	+	0.931127i	0.418163	+	0.219469i
$19$	−0.644925			−0.147956			−0.0739780	−	0.997260i	$-0.523569\pi$
$19$	−0.644925			−0.147956			−0.0739780	+	0.997260i	$0.523569\pi$
$20$	4.42328	−	2.32152i	0.989075	−	0.519107i
$21$	−0.476086	+	0.421776i	−0.103891	+	0.0920390i
$22$	−12.8850			−2.74710
$23$	6.72877			1.40305			0.701523	−	0.712647i	$-0.252504\pi$
$23$	6.72877			1.40305			0.701523	+	0.712647i	$0.252504\pi$
$24$	−0.0217150	+	0.0192378i	−0.00443255	+	0.00392690i
$25$	−0.407565	−	1.07466i	−0.0815130	−	0.214932i
$26$	−5.23267	−	4.98070i	−1.02621	−	0.976795i
$27$	−0.354605	+	0.935016i	−0.0682437	+	0.179944i
$28$	−0.454355	−	1.19804i	−0.0858650	−	0.226407i
$29$	0.519660	+	0.128085i	0.0964985	+	0.0237847i	0.287269	−	0.957850i	$-0.407253\pi$
$29$	0.519660	+	0.128085i	0.0964985	+	0.0237847i	−0.190771	+	0.981635i	$0.561099\pi$
$30$	2.82246	+	4.08903i	0.515307	+	0.746552i
$31$	−2.75234	+	7.25733i	−0.494335	+	1.30346i	0.423285	+	0.905997i	$0.360877\pi$
$31$	−2.75234	+	7.25733i	−0.494335	+	1.30346i	−0.917620	+	0.397458i	$0.869892\pi$
$32$	2.84182	+	7.49326i	0.502368	+	1.32463i
$33$	−0.775159	−	6.38400i	−0.134938	−	1.11131i
$34$	−0.997114	−	1.44457i	−0.171004	−	0.247742i
$35$	−1.53142	+	0.377462i	−0.258858	+	0.0638028i
$36$	−1.50786	−	1.33585i	−0.251310	−	0.222641i
$37$	−0.556277	+	1.46678i	−0.0914514	+	0.241137i	−0.972936	−	0.231076i	$-0.925776\pi$
$37$	−0.556277	+	1.46678i	−0.0914514	+	0.241137i	0.881484	+	0.472213i	$0.156545\pi$
$38$	1.25463	+	0.309240i	0.203529	+	0.0501653i
$39$	2.15293	−	2.89221i	0.344745	−	0.463124i
$40$	−0.0698504	+	0.0172166i	−0.0110443	+	0.00272218i
$41$	0.974849	−	8.02860i	0.152246	−	1.25386i	−0.693573	−	0.720387i	$-0.743964\pi$
$41$	0.974849	−	8.02860i	0.152246	−	1.25386i	0.845819	−	0.533471i	$-0.179113\pi$
$42$	1.12842	−	0.592239i	0.174118	−	0.0913844i
$43$	−3.03093	−	7.99190i	−0.462212	−	1.21875i	−0.940272	−	0.340425i	$-0.889429\pi$
$43$	−3.03093	−	7.99190i	−0.462212	−	1.21875i	0.478060	−	0.878327i	$-0.341340\pi$
$44$	12.5785	+	3.10031i	1.89627	+	0.467389i
$45$	−1.85615	+	1.64440i	−0.276698	+	0.245133i
$46$	−13.0901	−	3.22642i	−1.93003	−	0.475710i
$47$	−5.45513	+	2.86308i	−0.795713	+	0.417622i	−0.813026	−	0.582228i	$-0.802181\pi$
$47$	−5.45513	+	2.86308i	−0.795713	+	0.417622i	0.0173127	+	0.999850i	$0.494489\pi$
$48$	−3.51600	+	1.84534i	−0.507490	+	0.266352i
$49$	−0.794993	−	6.54736i	−0.113570	−	0.935337i
$50$	0.277579	+	2.28607i	0.0392556	+	0.323299i
$51$	0.655738	−	0.580933i	0.0918217	−	0.0813469i
$52$	3.90974	+	6.12124i	0.542184	+	0.848863i
$53$	−6.31918	−	5.59830i	−0.868006	−	0.768986i	0.106272	−	0.994337i	$-0.466109\pi$
$53$	−6.31918	−	5.59830i	−0.868006	−	0.768986i	−0.974278	+	0.225351i	$0.927647\pi$
$54$	1.13818	−	1.64894i	0.154887	−	0.224393i
$55$	5.65497	−	14.9109i	0.762517	−	2.01059i
$56$	0.00222417	+	0.0183177i	0.000297217	+	0.00244781i
$57$	−0.0777372	+	0.640223i	−0.0102965	+	0.0847996i
$58$	−0.949528	−	0.498351i	−0.124679	−	0.0654367i
$59$	0.707866	−	1.02552i	0.0921563	−	0.133511i	−0.774194	−	0.632949i	$-0.781844\pi$
$59$	0.707866	−	1.02552i	0.0921563	−	0.133511i	0.866350	+	0.499437i	$0.166460\pi$
$60$	−1.77142	−	4.67086i	−0.228690	−	0.603005i
$61$	1.05887	−	0.938076i	0.135574	−	0.120108i	−0.592611	−	0.805489i	$-0.701903\pi$
$61$	1.05887	−	0.938076i	0.135574	−	0.120108i	0.728185	+	0.685381i	$0.240364\pi$
$62$	8.83426	−	12.7986i	1.12195	−	1.62543i
$63$	0.361315	+	0.523455i	0.0455214	+	0.0659491i
$64$	−0.978205	−	8.05624i	−0.122276	−	1.00703i
$65$	8.06032	−	3.86947i	0.999759	−	0.479949i
$66$	−1.55312	+	12.7911i	−0.191176	+	1.57448i
$67$	−12.7507	+	6.69208i	−1.55774	+	0.817567i	−0.999923	−	0.0123935i	$-0.996055\pi$
$67$	−12.7507	+	6.69208i	−1.55774	+	0.817567i	−0.557821	+	0.829961i	$0.688363\pi$
$68$	0.625806	+	1.65012i	0.0758902	+	0.200106i
$69$	0.811063	−	6.67971i	0.0976406	−	0.804142i
$70$	3.16022			0.377718
$71$	0.115591	−	0.951978i	0.0137181	−	0.112979i	−0.984241	−	0.176831i	$-0.943415\pi$
$71$	0.115591	−	0.951978i	0.0137181	−	0.112979i	0.997959	+	0.0638519i	$0.0203385\pi$
$72$	0.0164801	+	0.0238755i	0.00194219	+	0.00281376i
$73$	−2.16614	+	0.533907i	−0.253528	+	0.0624891i	−0.364031	−	0.931387i	$-0.618600\pi$
$73$	−2.16614	+	0.533907i	−0.253528	+	0.0624891i	0.110503	+	0.993876i	$0.464754\pi$
$74$	1.78550	−	2.58674i	0.207560	−	0.300702i
$75$	−1.11595	+	0.275057i	−0.128859	+	0.0317609i
$76$	−1.15037	−	0.603763i	−0.131957	−	0.0692564i
$77$	−3.62181	−	1.90087i	−0.412744	−	0.216625i
$78$	−5.57511	+	4.59416i	−0.631257	+	0.520187i
$79$	6.15744	−	3.23168i	0.692767	−	0.363592i	−0.0813056	−	0.996689i	$-0.525909\pi$
$79$	6.15744	−	3.23168i	0.692767	−	0.363592i	0.774072	+	0.633097i	$0.218217\pi$
$80$	−9.84682			−1.10091
$81$	0.885456	+	0.464723i	0.0983840	+	0.0516359i
$82$	−5.74616	+	15.1514i	−0.634557	+	1.67319i
$83$	0.408330	+	3.36290i	0.0448200	+	0.369126i	0.997811	+	0.0661279i	$0.0210645\pi$
$83$	0.408330	+	3.36290i	0.0448200	+	0.369126i	−0.952991	+	0.302998i	$0.902012\pi$
$84$	−1.24407	+	0.306635i	−0.135739	+	0.0334566i
$85$	2.10931	−	0.519898i	0.228787	−	0.0563909i
$86$	2.06426	+	17.0007i	0.222595	+	1.83323i
$87$	0.189789	−	0.500432i	0.0203475	−	0.0536520i
$88$	−0.165196	−	0.0867015i	−0.0176100	−	0.00924242i
$89$	−3.17336			−0.336376			−0.168188	−	0.985755i	$-0.553792\pi$
$89$	−3.17336			−0.336376			−0.168188	+	0.985755i	$0.553792\pi$
$90$	4.39943	−	2.30900i	0.463740	−	0.243390i
$91$	−0.736053	−	2.17196i	−0.0771594	−	0.227683i
$92$	12.0023	+	6.29931i	1.25133	+	0.656748i
$93$	6.87266	+	3.60705i	0.712661	+	0.374034i
$94$	11.9852	−	2.95409i	1.23618	−	0.304691i
$95$	−0.908494	+	1.31618i	−0.0932095	+	0.135037i
$96$	7.78117	−	1.91789i	0.794163	−	0.195743i
$97$	7.24297	+	10.4933i	0.735412	+	1.06543i	0.995016	+	0.0997131i	$0.0317925\pi$
$97$	7.24297	+	10.4933i	0.735412	+	1.06543i	−0.259604	+	0.965715i	$0.583592\pi$
$98$	−1.59286	+	13.1184i	−0.160903	+	1.32516i
$99$	−6.43089			−0.646329
$100$	0.279084	−	2.29846i	0.0279084	−	0.229846i
$101$	−4.13298	−	10.8978i	−0.411247	−	1.08437i	−0.967392	−	0.253284i	$-0.918489\pi$
$101$	−4.13298	−	10.8978i	−0.411247	−	1.08437i	0.556145	−	0.831085i	$-0.312280\pi$
$102$	−1.55423	+	0.815720i	−0.153891	+	0.0807684i
$103$	−2.16887	+	17.8622i	−0.213705	+	1.76002i	0.352554	+	0.935792i	$0.385313\pi$
$103$	−2.16887	+	17.8622i	−0.213705	+	1.76002i	−0.566259	+	0.824228i	$0.691610\pi$
$104$	−0.0335724	−	0.0990662i	−0.00329205	−	0.00971424i
$105$	0.190117	+	1.56576i	0.0185535	+	0.152802i
$106$	9.60893	+	13.9209i	0.933302	+	1.35212i
$107$	−4.01664	+	5.81911i	−0.388303	+	0.562554i	−0.967576	−	0.252579i	$-0.918721\pi$
$107$	−4.01664	+	5.81911i	−0.388303	+	0.562554i	0.579273	+	0.815134i	$0.303337\pi$
$108$	−1.50786	+	1.33585i	−0.145094	+	0.128542i
$109$	3.89666	+	10.2746i	0.373232	+	0.984132i	0.981680	+	0.190538i	$0.0610232\pi$
$109$	3.89666	+	10.2746i	0.373232	+	0.984132i	−0.608448	+	0.793594i	$0.708208\pi$
$110$	−18.1509	+	26.2961i	−1.73062	+	2.50724i
$111$	1.38904	+	0.729022i	0.131841	+	0.0691957i
$112$	−0.304431	+	2.50721i	−0.0287660	+	0.236909i
$113$	−0.496596	−	4.08984i	−0.0467158	−	0.384739i	−0.997249	−	0.0741179i	$-0.976386\pi$
$113$	−0.496596	−	4.08984i	−0.0467158	−	0.384739i	0.950534	−	0.310622i	$-0.100537\pi$
$114$	0.458214	−	1.20821i	0.0429157	−	0.113159i
$115$	9.47868	−	13.7322i	0.883892	−	1.28054i
$116$	0.807025	+	0.714962i	0.0749304	+	0.0663825i
$117$	−2.61161	−	2.48585i	−0.241444	−	0.229817i
$118$	−1.86881	+	1.65562i	−0.172038	+	0.152412i
$119$	−0.0671644	−	0.553149i	−0.00615695	−	0.0507071i
$120$	0.00867152	+	0.0714164i	0.000791598	+	0.00651939i
$121$	26.8792	−	14.1073i	2.44357	−	1.28248i
$122$	−2.50972	+	1.31720i	−0.227220	+	0.119254i
$123$	−7.85256	−	1.93548i	−0.708042	−	0.174517i
$124$	−11.7036	+	10.3685i	−1.05101	+	0.931116i
$125$	9.27133	+	2.28518i	0.829253	+	0.204392i
$126$	−0.451905	−	1.19158i	−0.0402589	−	0.106154i
$127$	−1.80836	+	0.949102i	−0.160466	+	0.0842192i	−0.543045	−	0.839704i	$-0.682729\pi$
$127$	−1.80836	+	0.949102i	−0.160466	+	0.0842192i	0.382578	+	0.923923i	$0.375036\pi$
$128$	−0.0279743	+	0.230389i	−0.00247260	+	0.0203637i
$129$	−8.29896	+	2.04551i	−0.730683	+	0.180097i
$130$	−17.5359	+	3.66276i	−1.53800	+	0.321245i
$131$	−11.8991	−	2.93286i	−1.03963	−	0.256245i	−0.317683	−	0.948197i	$-0.602905\pi$
$131$	−11.8991	−	2.93286i	−1.03963	−	0.256245i	−0.721943	+	0.691952i	$0.756751\pi$
$132$	4.59387	−	12.1130i	0.399845	−	1.05431i
$133$	0.307040	+	0.272014i	0.0266238	+	0.0235866i
$134$	28.0140	−	6.90482i	2.42004	−	0.596486i
$135$	1.40868	+	2.04083i	0.121240	+	0.175646i
$136$	−0.00306346	−	0.0252299i	−0.000262690	−	0.00216345i
$137$	7.10830	+	18.7430i	0.607303	+	1.60133i	0.786553	+	0.617522i	$0.211863\pi$
$137$	7.10830	+	18.7430i	0.607303	+	1.60133i	−0.179251	+	0.983803i	$0.557367\pi$
$138$	−4.78074	+	12.6058i	−0.406963	+	1.07307i
$139$	−11.2930	−	16.3607i	−0.957858	−	1.38770i	−0.921508	−	0.388358i	$-0.873042\pi$
$139$	−11.2930	−	16.3607i	−0.957858	−	1.38770i	−0.0363500	−	0.999339i	$-0.511573\pi$
$140$	−3.08502	−	0.760390i	−0.260732	−	0.0642647i
$141$	2.18466	+	5.76047i	0.183981	+	0.485119i
$142$	−0.681341	+	1.79655i	−0.0571768	+	0.150763i
$143$	22.3004	+	6.35010i	1.86486	+	0.531022i
$144$	1.40808	+	3.71279i	0.117340	+	0.309399i
$145$	0.993433	−	0.880105i	0.0825002	−	0.0730888i
$146$	4.47001			0.369941
$147$	−6.59545			−0.543983
$148$	−2.36541	+	2.09557i	−0.194436	+	0.172255i
$149$	−4.31446	+	2.26440i	−0.353454	+	0.185507i	−0.632100	−	0.774887i	$-0.717807\pi$
$149$	−4.31446	+	2.26440i	−0.353454	+	0.185507i	0.278646	+	0.960394i	$0.410114\pi$
$150$	2.30286			0.188027
$151$	−0.606237	−	0.318178i	−0.0493349	−	0.0258929i	0.439875	−	0.898059i	$-0.355023\pi$
$151$	−0.606237	−	0.318178i	−0.0493349	−	0.0258929i	−0.489210	+	0.872166i	$0.662715\pi$
$152$	0.0140045	+	0.0124069i	0.00113592	+	0.00100634i
$153$	−0.497657	−	0.720981i	−0.0402332	−	0.0582878i
$154$	6.13439	+	5.43460i	0.494324	+	0.437932i
$155$	10.9338	+	15.8403i	0.878222	+	1.27232i
$156$	6.54787	−	3.14340i	0.524250	−	0.251674i
$157$	−2.91462	+	4.22256i	−0.232612	+	0.336997i	−0.921856	−	0.387532i	$-0.873328\pi$
$157$	−2.91462	+	4.22256i	−0.232612	+	0.336997i	0.689244	+	0.724530i	$0.257943\pi$
$158$	−13.5282	+	3.33441i	−1.07625	+	0.265272i
$159$	−6.31918	+	5.59830i	−0.501143	+	0.443974i
$160$	19.2957	+	4.75595i	1.52546	+	0.375991i
$161$	−3.20348	−	2.83803i	−0.252469	−	0.223668i
$162$	−1.49973	−	1.32864i	−0.117830	−	0.104388i
$163$	−8.17722	+	21.5616i	−0.640489	+	1.68883i	0.0812748	+	0.996692i	$0.474101\pi$
$163$	−8.17722	+	21.5616i	−0.640489	+	1.68883i	−0.721764	+	0.692139i	$0.756668\pi$
$164$	9.25505	−	13.4083i	0.722698	−	1.04701i
$165$	−14.1206	−	7.41106i	−1.09929	−	0.576950i
$166$	0.818136	−	6.73796i	0.0634997	−	0.522967i
$167$	−19.4743	−	4.79997i	−1.50696	−	0.371433i	−0.602547	−	0.798084i	$-0.705847\pi$
$167$	−19.4743	−	4.79997i	−1.50696	−	0.371433i	−0.904417	+	0.426651i	$0.859693\pi$
$168$	0.0184522			0.00142362
$169$	6.60168	+	11.1990i	0.507821	+	0.861462i
$170$	−4.35273			−0.333839
$171$	0.626185	+	0.154341i	0.0478856	+	0.0118027i
$172$	2.07545	−	17.0929i	0.158252	−	1.30332i
$173$	14.9031	+	7.82177i	1.13306	+	0.594678i	0.923684	−	0.383156i	$-0.125163\pi$
$173$	14.9031	+	7.82177i	1.13306	+	0.594678i	0.209381	+	0.977834i	$0.432855\pi$
$174$	−0.609170	+	0.882535i	−0.0461811	+	0.0669048i
$175$	−0.259230	+	0.683532i	−0.0195959	+	0.0516702i
$176$	−19.1140	−	16.9335i	−1.44077	−	1.27641i
$177$	−0.932719	−	0.826317i	−0.0701075	−	0.0621098i
$178$	6.17344	+	1.52162i	0.462719	+	0.114050i
$179$	−3.55582	+	3.15018i	−0.265774	+	0.235456i	−0.785476	−	0.618892i	$-0.787582\pi$
$179$	−3.55582	+	3.15018i	−0.265774	+	0.235456i	0.519701	+	0.854348i	$0.326043\pi$
$180$	−4.85032	+	1.19550i	−0.361522	+	0.0891071i
$181$	5.52280	−	8.00115i	0.410506	−	0.594721i	−0.562131	−	0.827048i	$-0.690019\pi$
$181$	5.52280	−	8.00115i	0.410506	−	0.594721i	0.972638	+	0.232327i	$0.0746339\pi$
$182$	0.390466	+	4.57826i	0.0289433	+	0.339363i
$183$	−0.803604	−	1.16422i	−0.0594041	−	0.0860617i
$184$	−0.146115	−	0.129447i	−0.0107717	−	0.00954293i
$185$	2.20983	+	3.20149i	0.162470	+	0.235378i
$186$	−11.6405	−	10.3126i	−0.853520	−	0.756153i
$187$	4.98851	+	2.61817i	0.364796	+	0.191460i
$188$	−12.4108			−0.905154
$189$	0.563190	−	0.295585i	0.0409660	−	0.0215006i
$190$	2.39848	−	2.12487i	0.174004	−	0.154154i
$191$	13.0960			0.947591			0.473795	−	0.880635i	$-0.342884\pi$
$191$	13.0960			0.947591			0.473795	+	0.880635i	$0.342884\pi$
$192$	−8.11541			−0.585679
$193$	4.89795	−	4.33921i	0.352562	−	0.312343i	−0.468189	−	0.883628i	$-0.655093\pi$
$193$	4.89795	−	4.33921i	0.352562	−	0.312343i	0.820752	+	0.571285i	$0.193555\pi$
$194$	−9.05895	−	23.8865i	−0.650395	−	1.71495i
$195$	−2.86970	−	8.46796i	−0.205503	−	0.606403i
$196$	4.71142	−	12.4230i	0.336530	−	0.887357i
$197$	−7.64615	−	20.1612i	−0.544765	−	1.43643i	−0.871068	−	0.491163i	$-0.836572\pi$
$197$	−7.64615	−	20.1612i	−0.544765	−	1.43643i	0.326303	−	0.945265i	$-0.394197\pi$
$198$	12.5106	+	3.08359i	0.889092	+	0.219141i
$199$	8.85015	+	12.8217i	0.627371	+	0.908903i	0.999817	−	0.0191506i	$-0.00609621\pi$
$199$	8.85015	+	12.8217i	0.627371	+	0.908903i	−0.372446	+	0.928054i	$0.621481\pi$
$200$	−0.0118238	+	0.0311769i	−0.000836071	+	0.00220454i
$201$	5.10636	+	13.4644i	0.360175	+	0.949703i
$202$	2.81483	+	23.1822i	0.198051	+	1.63110i
$203$	−0.193380	−	0.280159i	−0.0135726	−	0.0196633i
$204$	1.71352	−	0.422344i	0.119970	−	0.0295700i
$205$	−15.0117	−	13.2992i	−1.04846	−	0.928859i
$206$	12.7842	−	33.7092i	0.890717	−	2.34863i
$207$	−6.53324	−	1.61030i	−0.454092	−	0.111924i
$208$	−1.21664	−	14.2652i	−0.0843589	−	0.989117i
$209$	−4.02693	+	0.992549i	−0.278549	+	0.0686560i
$210$	0.380922	−	3.13718i	0.0262861	−	0.216486i
$211$	−13.4291	+	7.04812i	−0.924495	+	0.485213i	−0.858618	−	0.512615i	$-0.828677\pi$
$211$	−13.4291	+	7.04812i	−0.924495	+	0.485213i	−0.0658768	+	0.997828i	$0.520984\pi$
$212$	−6.03073	−	15.9017i	−0.414192	−	1.09214i
$213$	−0.931104	−	0.229497i	−0.0637982	−	0.0157248i
$214$	10.6042	−	9.39450i	0.724888	−	0.642195i
$215$	−20.5797	−	5.07243i	−1.40352	−	0.345937i
$216$	0.0256879	−	0.0134820i	0.00174784	−	0.000917336i
$217$	4.37132	−	2.29425i	0.296744	−	0.155744i
$218$	−2.65388	−	21.8567i	−0.179743	−	1.48032i
$219$	0.268914	+	2.21471i	0.0181715	+	0.149656i
$220$	24.0462	−	21.3031i	1.62120	−	1.43625i
$221$	1.01380	+	2.99155i	0.0681958	+	0.201234i
$222$	−2.35266	−	2.08427i	−0.157900	−	0.139887i
$223$	8.04162	−	11.6503i	0.538506	−	0.780161i	−0.455412	−	0.890281i	$-0.650508\pi$
$223$	8.04162	−	11.6503i	0.538506	−	0.780161i	0.993918	+	0.110120i	$0.0351234\pi$
$224$	1.80752	−	4.76605i	0.120770	−	0.318445i
$225$	0.138539	+	1.14097i	0.00923592	+	0.0760647i
$226$	−0.994988	+	8.19446i	−0.0661856	+	0.545088i
$227$	5.60249	+	2.94041i	0.371850	+	0.195162i	0.640288	−	0.768135i	$-0.278815\pi$
$227$	5.60249	+	2.94041i	0.371850	+	0.195162i	−0.268438	+	0.963297i	$0.586507\pi$
$228$	−0.738023	+	1.06921i	−0.0488768	+	0.0708103i
$229$	−10.4288	−	27.4985i	−0.689155	−	1.81715i	−0.565357	−	0.824846i	$-0.691262\pi$
$229$	−10.4288	−	27.4985i	−0.689155	−	1.81715i	−0.123798	−	0.992307i	$-0.539508\pi$
$230$	−25.0244	+	22.1696i	−1.65006	+	1.46182i
$231$	−2.32358	+	3.36628i	−0.152880	+	0.221485i
$232$	−0.00882034	−	0.0127785i	−0.000579084	−	0.000838947i
$233$	0.627853	+	5.17084i	0.0411320	+	0.338753i	0.998719	+	0.0506072i	$0.0161157\pi$
$233$	0.627853	+	5.17084i	0.0411320	+	0.338753i	−0.957587	+	0.288146i	$0.906961\pi$
$234$	3.88866	+	6.08823i	0.254210	+	0.398000i
$235$	−1.84150	+	15.1661i	−0.120126	+	0.989330i
$236$	2.22271	−	1.16657i	0.144686	−	0.0759371i
$237$	−2.46592	−	6.50209i	−0.160178	−	0.422356i
$238$	−0.134572	+	1.10830i	−0.00872299	+	0.0718403i
$239$	12.1620			0.786695			0.393348	−	0.919390i	$-0.371317\pi$
$239$	12.1620			0.786695			0.393348	+	0.919390i	$0.371317\pi$
$240$	−1.18690	+	9.77503i	−0.0766143	+	0.630975i
$241$	1.74352	+	2.52592i	0.112310	+	0.162709i	0.875108	−	0.483928i	$-0.160790\pi$
$241$	1.74352	+	2.52592i	0.112310	+	0.162709i	−0.762798	+	0.646637i	$0.776175\pi$
$242$	−59.0552	+	14.5558i	−3.79621	+	0.935682i
$243$	0.568065	−	0.822984i	0.0364414	−	0.0527944i
$244$	2.76694	−	0.681990i	0.177135	−	0.0436600i
$245$	−14.4819	−	7.60069i	−0.925215	−	0.485590i
$246$	14.3483	+	7.53056i	0.914813	+	0.480131i
$247$	−2.01902	−	1.15353i	−0.128467	−	0.0733971i
$248$	0.199382	−	0.104644i	0.0126608	−	0.00664488i
$249$	3.38760			0.214680
$250$	−16.9407	−	8.89114i	−1.07142	−	0.562325i
$251$	−0.603218	+	1.59056i	−0.0380748	+	0.100395i	−0.952705	−	0.303896i	$-0.901712\pi$
$251$	−0.603218	+	1.59056i	−0.0380748	+	0.100395i	0.914630	+	0.404291i	$0.132482\pi$
$252$	0.154444	+	1.27196i	0.00972903	+	0.0801258i
$253$	42.0146	−	10.3557i	2.64143	−	0.651055i
$254$	3.97307	−	0.979274i	0.249293	−	0.0614451i
$255$	−0.261858	−	2.15660i	−0.0163982	−	0.135051i
$256$	−5.59064	+	14.7413i	−0.349415	+	0.921331i
$257$	−4.86114	−	2.55132i	−0.303230	−	0.159147i	0.306245	−	0.951953i	$-0.400927\pi$
$257$	−4.86114	−	2.55132i	−0.303230	−	0.159147i	−0.609475	+	0.792806i	$0.708620\pi$
$258$	17.1256			1.06619
$259$	0.883489	−	0.463691i	0.0548973	−	0.0288123i
$260$	18.0000	+	0.643760i	1.11631	+	0.0399243i
$261$	−0.473907	−	0.248726i	−0.0293341	−	0.0153957i
$262$	21.7421	+	11.4111i	1.34323	+	0.704982i
$263$	28.5641	−	7.04042i	1.76134	−	0.434131i	0.779898	−	0.625906i	$-0.215271\pi$
$263$	28.5641	−	7.04042i	1.76134	−	0.434131i	0.981439	+	0.191776i	$0.0614246\pi$
$264$	−0.105982	+	0.153541i	−0.00652271	+	0.00944978i
$265$	−20.3269	+	5.01012i	−1.24867	+	0.307769i
$266$	−0.466885	−	0.676399i	−0.0286265	−	0.0414727i
$267$	−0.382507	+	3.15023i	−0.0234090	+	0.192791i
$268$	−29.0088			−1.77199
$269$	1.89368	−	15.5958i	0.115460	−	0.950895i	−0.813718	−	0.581260i	$-0.802560\pi$
$269$	1.89368	−	15.5958i	0.115460	−	0.950895i	0.929177	−	0.369635i	$-0.120517\pi$
$270$	−1.76187	−	4.64567i	−0.107224	−	0.282726i
$271$	2.20333	−	1.15640i	0.133843	−	0.0702462i	−0.396473	−	0.918047i	$-0.629766\pi$
$271$	2.20333	−	1.15640i	0.133843	−	0.0702462i	0.530315	+	0.847800i	$0.322073\pi$
$272$	0.419308	−	3.45331i	0.0254243	−	0.209388i
$273$	−2.24485	+	0.468886i	−0.135864	+	0.0283783i
$274$	−4.84122	−	39.8710i	−0.292469	−	2.40870i
$275$	−4.19876	−	6.08296i	−0.253195	−	0.366816i
$276$	7.70010	−	11.1555i	0.463491	−	0.671483i
$277$	−7.10939	+	6.29837i	−0.427162	+	0.378432i	−0.849135	−	0.528176i	$-0.822876\pi$
$277$	−7.10939	+	6.29837i	−0.427162	+	0.378432i	0.421973	+	0.906608i	$0.361338\pi$
$278$	14.1244	+	37.2430i	0.847126	+	2.23369i
$279$	4.40916	−	6.38777i	0.263969	−	0.382426i
$280$	0.0405164	+	0.0212646i	0.00242132	+	0.00127080i
$281$	0.282423	−	2.32596i	0.0168479	−	0.138755i	−0.981858	−	0.189620i	$-0.939275\pi$
$281$	0.282423	−	2.32596i	0.0168479	−	0.138755i	0.998706	+	0.0508644i	$0.0161976\pi$
$282$	−1.48789	−	12.2539i	−0.0886029	−	0.729710i
$283$	−7.75041	+	20.4361i	−0.460714	+	1.21480i	0.480501	+	0.876994i	$0.340455\pi$
$283$	−7.75041	+	20.4361i	−0.460714	+	1.21480i	−0.941215	+	0.337809i	$0.890314\pi$
$284$	1.09740	−	1.58986i	0.0651188	−	0.0943409i
$285$	1.19708	+	1.06052i	0.0709087	+	0.0628196i
$286$	−40.3383	−	23.0464i	−2.38525	−	1.36277i
$287$	−3.85038	+	3.41114i	−0.227281	+	0.201353i
$288$	−0.965987	−	7.95561i	−0.0569213	−	0.468789i
$289$	−1.95661	−	16.1142i	−0.115095	−	0.947892i
$290$	−2.35463	+	1.23580i	−0.138269	+	0.0725689i
$291$	11.2898	−	5.92534i	0.661819	−	0.347349i
$292$	−4.36365	−	1.07554i	−0.255364	−	0.0629415i
$293$	4.35905	−	3.86178i	0.254658	−	0.225608i	−0.526129	−	0.850405i	$-0.676357\pi$
$293$	4.35905	−	3.86178i	0.254658	−	0.225608i	0.780787	+	0.624798i	$0.214818\pi$
$294$	12.8308	+	3.16250i	0.748305	+	0.184441i
$295$	−1.09575	−	2.88926i	−0.0637971	−	0.168219i
$296$	0.0402972	−	0.0211496i	0.00234223	−	0.00122929i
$297$	−0.775159	+	6.38400i	−0.0449793	+	0.370438i
$298$	9.47909	−	2.33639i	0.549109	−	0.135343i
$299$	21.0653	+	12.0352i	1.21824	+	0.696014i
$300$	−2.24806	−	0.554097i	−0.129792	−	0.0319908i
$301$	−1.92781	+	5.08320i	−0.111117	+	0.292991i
$302$	1.02681	+	0.909670i	0.0590860	+	0.0523456i
$303$	−11.3165	+	2.78926i	−0.650115	+	0.160239i
$304$	1.45475	+	2.10757i	0.0834357	+	0.120878i
$305$	−0.422842	−	3.48242i	−0.0242119	−	0.199403i
$306$	0.622432	+	1.64122i	0.0355821	+	0.0938222i
$307$	−4.53936	+	11.9693i	−0.259075	+	0.683125i	0.740859	+	0.671660i	$0.234419\pi$
$307$	−4.53936	+	11.9693i	−0.259075	+	0.683125i	−0.999934	+	0.0114644i	$0.996351\pi$
$308$	−4.68080	−	6.78130i	−0.266713	−	0.386401i
$309$	17.4706	+	4.30611i	0.993867	+	0.244966i
$310$	−13.6751	−	36.0584i	−0.776696	−	2.04798i
$311$	−6.20416	+	16.3590i	−0.351806	+	0.927636i	0.635964	+	0.771719i	$0.280603\pi$
$311$	−6.20416	+	16.3590i	−0.351806	+	0.927636i	−0.987770	+	0.155917i	$0.950167\pi$
$312$	−0.102391	+	0.0213865i	−0.00579673	+	0.00121077i
$313$	−10.5746	−	27.8830i	−0.597714	−	1.57604i	−0.802125	−	0.597156i	$-0.796297\pi$
$313$	−10.5746	−	27.8830i	−0.597714	−	1.57604i	0.204411	−	0.978885i	$-0.434472\pi$
$314$	7.69480	−	6.81700i	0.434243	−	0.384706i
$315$	1.57726			0.0888683
$316$	14.0087			0.788048
$317$	1.12868	−	0.999923i	0.0633930	−	0.0561613i	−0.630831	−	0.775920i	$-0.717286\pi$
$317$	1.12868	−	0.999923i	0.0633930	−	0.0561613i	0.694224	+	0.719759i	$0.255748\pi$
$318$	14.9777	−	7.86088i	0.839906	−	0.440816i
$319$	3.44189			0.192709
$320$	−17.8194	−	9.35232i	−0.996133	−	0.522811i
$321$	5.29253	+	4.68877i	0.295400	+	0.261702i
$322$	4.87120	+	7.05715i	0.271461	+	0.393280i
$323$	−0.422902	−	0.374659i	−0.0235309	−	0.0208466i
$324$	1.14435	+	1.65788i	0.0635753	+	0.0921047i
$325$	0.646225	−	4.09334i	0.0358461	−	0.227058i
$326$	26.2466	−	38.0248i	1.45367	−	2.10600i
$327$	10.6694	−	2.62977i	0.590020	−	0.145427i
$328$	−0.175621	+	0.155587i	−0.00969707	+	0.00859085i
$329$	3.80469	+	0.937772i	0.209759	+	0.0517010i
$330$	23.9166	+	21.1882i	1.31656	+	1.16637i
$331$	6.71742	+	5.95111i	0.369223	+	0.327103i	0.827249	−	0.561836i	$-0.189905\pi$
$331$	6.71742	+	5.95111i	0.369223	+	0.327103i	−0.458026	+	0.888939i	$0.651443\pi$
$332$	−2.41991	+	6.38078i	−0.132810	+	0.350191i
$333$	0.891137	−	1.29103i	0.0488340	−	0.0707482i
$334$	35.5835	+	18.6757i	1.94705	+	1.02189i
$335$	−4.30428	+	35.4489i	−0.235168	+	1.93678i
$336$	2.45224	+	0.604422i	0.133780	+	0.0329739i
$337$	23.1407			1.26055			0.630277	−	0.776370i	$-0.282941\pi$
$337$	23.1407			1.26055			0.630277	+	0.776370i	$0.282941\pi$
$338$	−7.47298	−	24.9520i	−0.406477	−	1.35721i
$339$	−4.11988			−0.223761
$340$	4.24916	+	1.04732i	0.230443	+	0.0567991i
$341$	−6.01656	+	49.5508i	−0.325815	+	2.68333i
$342$	−1.14417	−	0.600507i	−0.0618697	−	0.0324717i
$343$	−4.91223	+	7.11660i	−0.265236	+	0.384260i
$344$	−0.0879299	+	0.231852i	−0.00474086	+	0.0125006i
$345$	−12.4896	−	11.0648i	−0.672417	−	0.595709i
$346$	−25.2420	−	22.3624i	−1.35702	−	1.20221i
$347$	−32.8648	−	8.10046i	−1.76428	−	0.434855i	−0.782153	−	0.623087i	$-0.785878\pi$
$347$	−32.8648	−	8.10046i	−1.76428	−	0.434855i	−0.982125	+	0.188232i	$0.939724\pi$
$348$	0.807025	−	0.714962i	0.0432611	−	0.0383260i
$349$	5.32382	−	1.31220i	0.284978	−	0.0702407i	−0.0942358	−	0.995550i	$-0.530041\pi$
$349$	5.32382	−	1.31220i	0.284978	−	0.0702407i	0.379213	+	0.925309i	$0.376195\pi$
$350$	0.832056	−	1.20544i	0.0444753	−	0.0644335i
$351$	−2.78253	+	2.29294i	−0.148520	+	0.122388i
$352$	29.2766	+	42.4145i	1.56045	+	2.26070i
$353$	17.8884	+	15.8477i	0.952102	+	0.843488i	0.987777	−	0.155875i	$-0.0498197\pi$
$353$	17.8884	+	15.8477i	0.952102	+	0.843488i	−0.0356752	+	0.999363i	$0.511358\pi$
$354$	1.41829	+	2.05475i	0.0753813	+	0.109209i
$355$	−1.77999	−	1.57693i	−0.0944721	−	0.0836950i
$356$	−5.66043	−	2.97082i	−0.300002	−	0.157453i
$357$	−0.557212			−0.0294908
$358$	8.42798	−	4.42334i	0.445432	−	0.233781i
$359$	−2.39780	+	2.12427i	−0.126551	+	0.112115i	−0.724025	−	0.689774i	$-0.757710\pi$
$359$	−2.39780	+	2.12427i	−0.126551	+	0.112115i	0.597473	+	0.801889i	$0.296171\pi$
$360$	0.0719409			0.00379162
$361$	−18.5841			−0.978109
$362$	−14.5806	+	12.9172i	−0.766337	+	0.678915i
$363$	−10.7645	−	28.3837i	−0.564991	−	1.48976i
$364$	0.720413	−	4.56327i	0.0377599	−	0.239181i
$365$	−1.96179	+	5.17283i	−0.102685	+	0.270758i
$366$	1.00509	+	2.65020i	0.0525367	+	0.138528i
$367$	−23.1769	−	5.71260i	−1.20983	−	0.298195i	−0.417719	−	0.908576i	$-0.637170\pi$
$367$	−23.1769	−	5.71260i	−1.20983	−	0.298195i	−0.792108	+	0.610381i	$0.791016\pi$
$368$	−15.1780	−	21.9891i	−0.791209	−	1.14626i
$369$	−2.86789	+	7.56201i	−0.149297	+	0.393663i
$370$	−2.76389	−	7.28777i	−0.143688	−	0.378873i
$371$	0.647246	+	5.33055i	0.0336033	+	0.276748i
$372$	8.88216	+	12.8680i	0.460518	+	0.667176i
$373$	2.40114	−	0.591828i	0.124326	−	0.0306437i	−0.176661	−	0.984272i	$-0.556530\pi$
$373$	2.40114	−	0.591828i	0.124326	−	0.0306437i	0.300988	+	0.953628i	$0.402684\pi$
$374$	−8.44921	−	7.48535i	−0.436898	−	0.387058i
$375$	3.38605	−	8.92828i	0.174855	−	0.461054i
$376$	0.173537	+	0.0427731i	0.00894950	+	0.00220585i
$377$	1.39777	+	1.33046i	0.0719887	+	0.0685222i
$378$	−1.23736	+	0.304981i	−0.0636429	+	0.0156866i
$379$	−1.25109	+	10.3037i	−0.0642644	+	0.529265i	0.924654	+	0.380807i	$0.124354\pi$
$379$	−1.25109	+	10.3037i	−0.0642644	+	0.529265i	−0.988919	+	0.148457i	$0.952569\pi$
$380$	−2.85269	+	1.49720i	−0.146340	+	0.0768050i
$381$	0.724208	+	1.90958i	0.0371023	+	0.0978307i
$382$	−25.4768	−	6.27947i	−1.30351	−	0.321286i
$383$	−28.5224	+	25.2686i	−1.45743	+	1.29117i	−0.577208	+	0.816597i	$0.695858\pi$
$383$	−28.5224	+	25.2686i	−1.45743	+	1.29117i	−0.880218	+	0.474570i	$0.842604\pi$
$384$	0.225337	+	0.0555406i	0.0114992	+	0.00283430i
$385$	−8.98133	+	4.71377i	−0.457731	+	0.240236i
$386$	−11.6091	+	6.09292i	−0.590887	+	0.310121i
$387$	1.03027	+	8.48501i	0.0523714	+	0.431318i
$388$	3.09600	+	25.4978i	0.157176	+	1.29446i
$389$	−4.88714	+	4.32963i	−0.247788	+	0.219521i	−0.777870	−	0.628426i	$-0.783700\pi$
$389$	−4.88714	+	4.32963i	−0.247788	+	0.219521i	0.530082	+	0.847946i	$0.322161\pi$
$390$	1.52234	+	17.8495i	0.0770865	+	0.903847i
$391$	4.41231	+	3.90897i	0.223140	+	0.197685i
$392$	−0.108693	+	0.157470i	−0.00548985	+	0.00795342i
$393$	−4.34575	+	11.4588i	−0.219214	+	0.578020i
$394$	5.20753	+	42.8879i	0.262352	+	2.16066i
$395$	2.07858	−	17.1187i	0.104585	−	0.861334i
$396$	−11.4710	−	6.02044i	−0.576439	−	0.302539i
$397$	−6.77616	+	9.81696i	−0.340086	+	0.492699i	−0.955291	−	0.295668i	$-0.904458\pi$
$397$	−6.77616	+	9.81696i	−0.340086	+	0.492699i	0.615205	+	0.788367i	$0.289073\pi$
$398$	−11.0691	−	29.1868i	−0.554844	−	1.46300i
$399$	0.307040	−	0.272014i	0.0153712	−	0.0136177i
$400$	−2.59258	+	3.75600i	−0.129629	+	0.187800i
$401$	−0.731057	−	1.05912i	−0.0365072	−	0.0528899i	0.804305	−	0.594216i	$-0.202538\pi$
$401$	−0.731057	−	1.05912i	−0.0365072	−	0.0528899i	−0.840813	+	0.541326i	$0.817922\pi$
$402$	−3.47777	−	28.6420i	−0.173455	−	1.42853i
$403$	−21.5972	+	17.7971i	−1.07583	+	0.886537i
$404$	2.83009	−	23.3079i	0.140802	−	1.15961i
$405$	2.19574	−	1.15242i	0.109107	−	0.0572640i
$406$	0.241865	+	0.637746i	0.0120036	+	0.0316508i
$407$	−1.21601	+	10.0147i	−0.0602753	+	0.496412i
$408$	−0.0254152			−0.00125824
$409$	−3.15072	+	25.9485i	−0.155793	+	1.28307i	0.679667	+	0.733521i	$0.262124\pi$
$409$	−3.15072	+	25.9485i	−0.155793	+	1.28307i	−0.835460	+	0.549551i	$0.814799\pi$
$410$	22.8268	+	33.0703i	1.12734	+	1.63323i
$411$	19.4632	−	4.79725i	0.960048	−	0.236631i
$412$	−20.5909	+	29.8310i	−1.01444	+	1.46967i
$413$	−0.769545	+	0.189676i	−0.0378668	+	0.00933333i
$414$	11.9376	+	6.26534i	0.586701	+	0.307925i
$415$	7.43830	+	3.90392i	0.365132	+	0.191636i
$416$	−4.50592	+	28.5416i	−0.220921	+	1.39937i
$417$	−17.6026	+	9.23858i	−0.862005	+	0.452415i
$418$	8.30989			0.406450
$419$	25.3212	+	13.2896i	1.23702	+	0.649238i	0.951061	−	0.309004i	$-0.0999956\pi$
$419$	25.3212	+	13.2896i	1.23702	+	0.649238i	0.285959	+	0.958242i	$0.407688\pi$
$420$	−1.12670	+	2.97087i	−0.0549775	+	0.144964i
$421$	−2.22293	−	18.3075i	−0.108339	−	0.892251i	−0.940986	−	0.338446i	$-0.890099\pi$
$421$	−2.22293	−	18.3075i	−0.108339	−	0.892251i	0.832647	−	0.553804i	$-0.186824\pi$
$422$	29.5044	−	7.27218i	1.43625	−	0.354004i
$423$	5.98180	−	1.47438i	0.290845	−	0.0716868i
$424$	0.0295218	+	0.243134i	0.00143371	+	0.0118076i
$425$	0.357050	−	0.941464i	0.0173195	−	0.0456677i
$426$	1.70132	+	0.892923i	0.0824293	+	0.0432623i
$427$	−0.899771			−0.0435430
$428$	−12.6123	+	6.61945i	−0.609639	+	0.319963i
$429$	8.99182	−	21.3724i	0.434129	−	1.03187i
$430$	37.6034	+	19.7358i	1.81340	+	0.951744i
$431$	11.1045	+	5.82807i	0.534883	+	0.280728i	0.710460	−	0.703737i	$-0.248487\pi$
$431$	11.1045	+	5.82807i	0.534883	+	0.280728i	−0.175577	+	0.984466i	$0.556179\pi$
$432$	3.85545	−	0.950282i	0.185495	−	0.0457205i
$433$	−12.8017	+	18.5465i	−0.615211	+	0.891287i	−0.999490	−	0.0319299i	$-0.989835\pi$
$433$	−12.8017	+	18.5465i	−0.615211	+	0.891287i	0.384279	+	0.923217i	$0.374450\pi$
$434$	−9.60403	+	2.36718i	−0.461008	+	0.113628i
$435$	−0.753943	−	1.09228i	−0.0361488	−	0.0523706i
$436$	−2.66827	+	21.9752i	−0.127787	+	1.05242i
$437$	−4.33955			−0.207589
$438$	0.538801	−	4.43742i	0.0257449	−	0.212028i
$439$	5.54526	+	14.6217i	0.264661	+	0.697854i	0.999801	+	0.0199386i	$0.00634708\pi$
$439$	5.54526	+	14.6217i	0.264661	+	0.697854i	−0.735140	+	0.677915i	$0.762884\pi$
$440$	−0.409651	+	0.215001i	−0.0195293	+	0.0102498i
$441$	−0.794993	+	6.54736i	−0.0378568	+	0.311779i
$442$	−0.537809	−	6.30587i	−0.0255810	−	0.299940i
$443$	−4.79212	−	39.4666i	−0.227680	−	1.87512i	−0.440116	−	0.897941i	$-0.645063\pi$
$443$	−4.79212	−	39.4666i	−0.227680	−	1.87512i	0.212436	−	0.977175i	$-0.431860\pi$
$444$	1.79518	+	2.60076i	0.0851953	+	0.123427i
$445$	−4.47025	+	6.47628i	−0.211910	+	0.307005i
$446$	−21.2304	+	18.8085i	−1.00529	+	0.890608i
$447$	1.72784	+	4.55594i	0.0817241	+	0.215489i
$448$	−2.93222	+	4.24805i	−0.138534	+	0.200701i
$449$	−18.6978	−	9.81336i	−0.882403	−	0.463121i	−0.0382781	−	0.999267i	$-0.512187\pi$
$449$	−18.6978	−	9.81336i	−0.882403	−	0.463121i	−0.844125	+	0.536146i	$0.819880\pi$
$450$	0.277579	−	2.28607i	0.0130852	−	0.107766i
$451$	−6.26915	−	51.6311i	−0.295203	−	2.43121i
$452$	2.94301	−	7.76008i	0.138427	−	0.365003i
$453$	−0.388932	+	0.563465i	−0.0182736	+	0.0264739i
$454$	−9.48914	−	8.40665i	−0.445347	−	0.394543i
$455$	−5.46946	−	1.55744i	−0.256412	−	0.0730140i
$456$	0.0140045	−	0.0124069i	0.000655822	−	0.000581008i
$457$	−1.77827	−	14.6454i	−0.0831839	−	0.685081i	−0.973331	−	0.229407i	$-0.926321\pi$
$457$	−1.77827	−	14.6454i	−0.0831839	−	0.685081i	0.890147	−	0.455674i	$-0.150602\pi$
$458$	7.10271	+	58.4961i	0.331888	+	2.73334i
$459$	−0.775710	+	0.407124i	−0.0362070	+	0.0190029i
$460$	29.7632	−	15.6209i	1.38772	−	0.728330i
$461$	28.5553	+	7.03825i	1.32995	+	0.327804i	0.839356	−	0.543582i	$-0.182932\pi$
$461$	28.5553	+	7.03825i	1.32995	+	0.327804i	0.490598	+	0.871386i	$0.336779\pi$
$462$	6.13439	−	5.43460i	0.285398	−	0.252840i
$463$	26.5177	+	6.53601i	1.23238	+	0.303754i	0.801137	−	0.598481i	$-0.204229\pi$
$463$	26.5177	+	6.53601i	1.23238	+	0.303754i	0.431243	+	0.902236i	$0.358075\pi$
$464$	−0.753620	−	1.98713i	−0.0349859	−	0.0922503i
$465$	17.0427	−	8.94472i	0.790338	−	0.414801i
$466$	1.25798	−	10.3604i	0.0582747	−	0.479935i
$467$	5.53068	−	1.36319i	0.255929	−	0.0630809i	−0.109264	−	0.994013i	$-0.534849\pi$
$467$	5.53068	−	1.36319i	0.255929	−	0.0630809i	0.365193	+	0.930932i	$0.381003\pi$
$468$	−2.33123	−	6.87903i	−0.107761	−	0.317983i
$469$	8.89299	+	2.19192i	0.410640	+	0.101214i
$470$	10.8546	−	28.6211i	0.500684	−	1.32019i
$471$	3.84046	+	3.40235i	0.176959	+	0.156772i
$472$	−0.0351000	+	0.00865138i	−0.00161561	+	0.000398212i
$473$	−31.2248	−	45.2369i	−1.43572	−	2.08000i
$474$	1.67945	+	13.8315i	0.0771397	+	0.635303i
$475$	0.262849	+	0.693076i	0.0120603	+	0.0318005i
$476$	0.398041	−	1.04955i	0.0182442	−	0.0481059i
$477$	4.79579	+	6.94790i	0.219584	+	0.318123i
$478$	−23.6599	−	5.83165i	−1.08218	−	0.266733i
$479$	1.40803	+	3.71267i	0.0643346	+	0.169636i	0.963329	−	0.268325i	$-0.0864700\pi$
$479$	1.40803	+	3.71267i	0.0643346	+	0.169636i	−0.898994	+	0.437961i	$0.855701\pi$
$480$	7.04711	−	18.5817i	0.321655	−	0.848135i
$481$	−4.36501	+	3.59698i	−0.199027	+	0.164008i
$482$	−2.18066	−	5.74992i	−0.0993262	−	0.261902i
$483$	−3.20348	+	2.83803i	−0.145763	+	0.129135i
$484$	61.1523			2.77965
$485$	31.6179			1.43570
$486$	−1.49973	+	1.32864i	−0.0680291	+	0.0602685i
$487$	6.55324	−	3.43941i	0.296956	−	0.155854i	−0.309665	−	0.950846i	$-0.600217\pi$
$487$	6.55324	−	3.43941i	0.296956	−	0.155854i	0.606621	+	0.794991i	$0.292525\pi$
$488$	−0.0410398			−0.00185779
$489$	20.4187	+	10.7166i	0.923365	+	0.484619i
$490$	24.5285	+	21.7304i	1.10809	+	0.981678i
$491$	6.66956	+	9.66253i	0.300993	+	0.436064i	0.944074	−	0.329735i	$-0.106959\pi$
$491$	6.66956	+	9.66253i	0.300993	+	0.436064i	−0.643081	+	0.765799i	$0.722344\pi$
$492$	−12.1949	−	10.8038i	−0.549790	−	0.487071i
$493$	0.266352	+	0.385878i	0.0119959	+	0.0173791i
$494$	3.37468	+	3.21218i	0.151834	+	0.144523i
$495$	−9.05907	+	13.1243i	−0.407175	+	0.589895i
$496$	29.9249	−	7.37582i	1.34367	−	0.331184i
$497$	−0.456553	+	0.404470i	−0.0204792	+	0.0181430i
$498$	−6.59022	−	1.62434i	−0.295315	−	0.0727885i
$499$	−17.8318	−	15.7976i	−0.798260	−	0.707197i	0.161851	−	0.986815i	$-0.448254\pi$
$499$	−17.8318	−	15.7976i	−0.798260	−	0.707197i	−0.960111	+	0.279619i	$0.909792\pi$
$500$	14.3982	+	12.7557i	0.643909	+	0.570454i
$501$	−7.11234	+	18.7537i	−0.317756	+	0.837853i
$502$	1.93617	−	2.80502i	0.0864153	−	0.125194i
$503$	−4.95515	−	2.60067i	−0.220939	−	0.115958i	0.350623	−	0.936517i	$-0.385970\pi$
$503$	−4.95515	−	2.60067i	−0.220939	−	0.115958i	−0.571562	+	0.820559i	$0.693662\pi$
$504$	0.00222417	−	0.0183177i	9.90725e−5	−	0.000815935i
$505$	−28.0625	−	6.91678i	−1.24876	−	0.307793i
$506$	−86.7005			−3.85431
$507$	11.9131	−	5.20365i	0.529079	−	0.231102i
$508$	−4.11416			−0.182536
$509$	−12.3412	−	3.04184i	−0.547016	−	0.134827i	−0.0438835	−	0.999037i	$-0.513973\pi$
$509$	−12.3412	−	3.04184i	−0.547016	−	0.134827i	−0.503132	+	0.864209i	$0.667819\pi$
$510$	−0.524663	+	4.32099i	−0.0232325	+	0.191337i
$511$	1.25646	+	0.659442i	0.0555826	+	0.0291720i
$512$	18.2081	−	26.3790i	0.804691	−	1.16580i
$513$	0.228694	−	0.603016i	0.0100971	−	0.0266238i
$514$	8.23349	+	7.29423i	0.363163	+	0.321735i
$515$	33.3985	+	29.5885i	1.47171	+	1.30382i
$516$	−16.7181	−	4.12064i	−0.735973	−	0.181401i
$517$	−29.6557	+	26.2726i	−1.30426	+	1.15547i
$518$	−1.94107	+	0.478432i	−0.0852859	+	0.0210211i
$519$	9.56111	−	13.8517i	0.419686	−	0.608020i
$520$	−0.249470	−	0.0710371i	−0.0109400	−	0.00311518i
$521$	13.7117	+	19.8649i	0.600722	+	0.870296i	0.998894	−	0.0470150i	$-0.0149709\pi$
$521$	13.7117	+	19.8649i	0.600722	+	0.870296i	−0.398173	+	0.917311i	$0.630355\pi$
$522$	0.802673	+	0.711106i	0.0351321	+	0.0311243i
$523$	−11.3118	−	16.3880i	−0.494630	−	0.716596i	0.493580	−	0.869701i	$-0.335688\pi$
$523$	−11.3118	−	16.3880i	−0.494630	−	0.716596i	−0.988210	+	0.153105i	$0.951073\pi$
$524$	−18.4791	−	16.3710i	−0.807263	−	0.715172i
$525$	0.647302	+	0.339730i	0.0282506	+	0.0148270i
$526$	−58.9443			−2.57009
$527$	−6.02084	+	3.15998i	−0.262272	+	0.137651i
$528$	−19.1140	+	16.9335i	−0.831829	+	0.736936i
$529$	22.2763			0.968536
$530$	41.9461			1.82202
$531$	−0.932719	+	0.826317i	−0.0404766	+	0.0358591i
$532$	0.293025	+	0.772644i	0.0127042	+	0.0334983i
$533$	17.4120	−	23.3909i	0.754198	−	1.01317i
$534$	2.25465	−	5.94502i	0.0975682	−	0.257266i
$535$	6.21762	+	16.3945i	0.268811	+	0.708797i
$536$	0.405622	+	0.0999768i	0.0175202	+	0.00431834i
$537$	2.69861	+	3.90961i	0.116453	+	0.168712i
$538$	−11.1621	+	29.4320i	−0.481232	+	1.26891i
$539$	−15.0404	−	39.6584i	−0.647837	−	1.70821i
$540$	0.602139	+	4.95906i	0.0259119	+	0.213404i
$541$	7.72594	+	11.1930i	0.332164	+	0.481223i	0.953107	−	0.302633i	$-0.0978656\pi$
$541$	7.72594	+	11.1930i	0.332164	+	0.481223i	−0.620943	+	0.783856i	$0.713250\pi$
$542$	−4.84084	+	1.19316i	−0.207932	+	0.0512506i
$543$	−7.27712	−	6.44696i	−0.312291	−	0.276666i
$544$	−2.48960	+	6.56453i	−0.106741	+	0.281452i
$545$	26.4579	+	6.52128i	1.13333	+	0.279341i
$546$	4.59194	+	0.164229i	0.196517	+	0.00702834i
$547$	6.69748	−	1.65078i	0.286364	−	0.0705823i	−0.0935174	−	0.995618i	$-0.529811\pi$
$547$	6.69748	−	1.65078i	0.286364	−	0.0705823i	0.379881	+	0.925035i	$0.375965\pi$
$548$	−4.86747	+	40.0872i	−0.207928	+	1.71244i
$549$	−1.25260	+	0.657414i	−0.0534595	+	0.0280577i
$550$	5.25149	+	13.8471i	0.223924	+	0.590440i
$551$	−0.335142	−	0.0826051i	−0.0142775	−	0.00351909i
$552$	−0.146115	+	0.129447i	−0.00621907	+	0.00550961i
$553$	−4.29452	−	1.05850i	−0.182622	−	0.0450122i
$554$	16.8506	−	8.84389i	0.715914	−	0.375741i
$555$	3.44451	−	1.80782i	0.146211	−	0.0767377i
$556$	−4.82717	−	39.7554i	−0.204718	−	1.68600i
$557$	−0.798979	−	6.58018i	−0.0338538	−	0.278811i	−0.999799	−	0.0200634i	$-0.993613\pi$
$557$	−0.798979	−	6.58018i	−0.0338538	−	0.278811i	0.965945	−	0.258748i	$-0.0833099\pi$
$558$	−11.6405	+	10.3126i	−0.492780	+	0.436565i
$559$	4.80576	−	30.4408i	0.203262	−	1.28751i
$560$	4.68794	+	4.15315i	0.198102	+	0.175503i
$561$	3.20038	−	4.63655i	0.135120	−	0.195755i
$562$	−1.66471	+	4.38949i	−0.0702217	+	0.185160i
$563$	−1.36482	−	11.2403i	−0.0575204	−	0.473723i	−0.992797	−	0.119806i	$-0.961773\pi$
$563$	−1.36482	−	11.2403i	−0.0575204	−	0.473723i	0.935277	−	0.353917i	$-0.115150\pi$
$564$	−1.49596	+	12.3204i	−0.0629914	+	0.518780i
$565$	−9.04619	−	4.74781i	−0.380576	−	0.199742i
$566$	24.8767	−	36.0401i	1.04564	−	1.51488i
$567$	−0.225545	−	0.594712i	−0.00947198	−	0.0249756i
$568$	−0.0208240	+	0.0184485i	−0.000873756	+	0.000774080i
$569$	11.4828	−	16.6357i	0.481383	−	0.697404i	−0.504768	−	0.863255i	$-0.668422\pi$
$569$	11.4828	−	16.6357i	0.481383	−	0.697404i	0.986151	+	0.165852i	$0.0530372\pi$
$570$	−1.82027	−	2.63712i	−0.0762428	−	0.110457i
$571$	2.45161	+	20.1909i	0.102597	+	0.844961i	0.949620	+	0.313405i	$0.101470\pi$
$571$	2.45161	+	20.1909i	0.102597	+	0.844961i	−0.847023	+	0.531556i	$0.821607\pi$
$572$	33.8332	+	32.2040i	1.41464	+	1.34652i
$573$	1.57854	−	13.0005i	0.0659446	−	0.543103i
$574$	9.12615	−	4.78977i	0.380918	−	0.199921i
$575$	−2.74241	−	7.23114i	−0.114366	−	0.301560i
$576$	−0.978205	+	8.05624i	−0.0407585	+	0.335677i
$577$	−16.2822			−0.677835			−0.338918	−	0.940816i	$-0.610061\pi$
$577$	−16.2822			−0.677835			−0.338918	+	0.940816i	$0.610061\pi$
$578$	−3.92031	+	32.2866i	−0.163063	+	1.34295i
$579$	−3.71719	−	5.38527i	−0.154481	−	0.223804i
$580$	2.59595	−	0.639845i	0.107791	−	0.0265681i
$581$	1.22399	−	1.77325i	0.0507796	−	0.0735670i
$582$	−24.8043	+	6.11370i	−1.02817	+	0.253421i
$583$	−48.0729	−	25.2306i	−1.99098	−	1.04495i
$584$	0.0573090	+	0.0300781i	0.00237146	+	0.00124464i
$585$	−8.75212	+	1.82807i	−0.361856	+	0.0755816i
$586$	−10.3318	+	5.42254i	−0.426802	+	0.224003i
$587$	20.3275			0.839008			0.419504	−	0.907754i	$-0.362204\pi$
$587$	20.3275			0.839008			0.419504	+	0.907754i	$0.362204\pi$
$588$	−11.7645	−	6.17449i	−0.485160	−	0.254632i
$589$	1.77506	−	4.68044i	0.0731399	−	0.192854i
$590$	0.746279	+	6.14616i	0.0307238	+	0.253034i
$591$	−20.9359	+	5.16023i	−0.861187	+	0.212263i
$592$	6.04813	−	1.49073i	0.248577	−	0.0612686i
$593$	4.73417	+	38.9894i	0.194409	+	1.60110i	0.684220	+	0.729275i	$0.260143\pi$
$593$	4.73417	+	38.9894i	0.194409	+	1.60110i	−0.489811	+	0.871829i	$0.662934\pi$
$594$	4.56910	−	12.0477i	0.187472	−	0.494324i
$595$	−1.22349	−	0.642139i	−0.0501584	−	0.0263251i
$596$	−9.81571			−0.402067
$597$	13.7949	−	7.24014i	0.564589	−	0.296319i
$598$	−35.2094	−	33.5140i	−1.43982	−	1.37049i
$599$	−1.10773	−	0.581379i	−0.0452604	−	0.0237545i	0.441941	−	0.897044i	$-0.354290\pi$
$599$	−1.10773	−	0.581379i	−0.0452604	−	0.0237545i	−0.487202	+	0.873290i	$0.661982\pi$
$600$	0.0295244	+	0.0154956i	0.00120533	+	0.000632604i
$601$	−10.9674	+	2.70322i	−0.447369	+	0.110266i	−0.456563	−	0.889691i	$-0.650920\pi$
$601$	−10.9674	+	2.70322i	−0.447369	+	0.110266i	0.00919400	+	0.999958i	$0.497073\pi$
$602$	6.18772	−	8.96446i	0.252193	−	0.365364i
$603$	13.9817	−	3.44618i	0.569379	−	0.140339i
$604$	−0.783495	−	1.13509i	−0.0318800	−	0.0461861i
$605$	9.07369	−	74.7286i	0.368898	−	3.03815i
$606$	23.3525			0.948630
$607$	4.21068	−	34.6781i	0.170906	−	1.40754i	−0.614675	−	0.788780i	$-0.710713\pi$
$607$	4.21068	−	34.6781i	0.170906	−	1.40754i	0.785581	−	0.618758i	$-0.212364\pi$
$608$	−1.83276	−	4.83260i	−0.0743283	−	0.195988i
$609$	−0.301426	+	0.158201i	−0.0122144	+	0.00641061i
$610$	−0.847213	+	6.97743i	−0.0343027	+	0.282508i
$611$	−22.1990	−	0.793935i	−0.898074	−	0.0321192i
$612$	−0.212723	−	1.75193i	−0.00859882	−	0.0708176i
$613$	−11.4342	−	16.5653i	−0.461824	−	0.669067i	0.521012	−	0.853549i	$-0.325555\pi$
$613$	−11.4342	−	16.5653i	−0.461824	−	0.669067i	−0.982836	+	0.184482i	$0.940939\pi$
$614$	14.5701	−	21.1084i	0.588001	−	0.851867i
$615$	−15.0117	+	13.2992i	−0.605331	+	0.536277i
$616$	0.0420790	+	0.110953i	0.00169541	+	0.00447043i
$617$	14.9339	−	21.6354i	0.601215	−	0.871010i	−0.397703	−	0.917514i	$-0.630193\pi$
$617$	14.9339	−	21.6354i	0.601215	−	0.871010i	0.998918	+	0.0465040i	$0.0148080\pi$
$618$	−31.9224	−	16.7542i	−1.28411	−	0.673952i
$619$	−1.39573	+	11.4949i	−0.0560992	+	0.462018i	0.937407	+	0.348237i	$0.113219\pi$
$619$	−1.39573	+	11.4949i	−0.0560992	+	0.462018i	−0.993506	+	0.113782i	$0.963704\pi$
$620$	4.67363	+	38.4908i	0.187698	+	1.54583i
$621$	−2.38605	+	6.29151i	−0.0957491	+	0.252470i
$622$	19.9137	−	28.8499i	0.798465	−	1.15678i
$623$	1.51079	+	1.33845i	0.0605287	+	0.0536238i
$624$	−14.3079	−	0.511715i	−0.572774	−	0.0204850i
$625$	22.0255	−	19.5129i	0.881019	−	0.780515i
$626$	7.20202	+	59.3140i	0.287851	+	2.37066i
$627$	0.499919	+	4.11721i	0.0199649	+	0.164425i
$628$	−9.15197	+	4.80332i	−0.365203	+	0.191673i
$629$	−1.21687	+	0.638665i	−0.0485200	+	0.0254652i
$630$	−3.06839	−	0.756290i	−0.122247	−	0.0301313i
$631$	−31.6014	+	27.9964i	−1.25803	+	1.11452i	−0.269582	+	0.962977i	$0.586885\pi$
$631$	−31.6014	+	27.9964i	−1.25803	+	1.11452i	−0.988451	+	0.151542i	$0.951576\pi$
$632$	−0.195879	−	0.0482798i	−0.00779165	−	0.00192047i
$633$	5.37803	+	14.1807i	0.213758	+	0.563633i
$634$	−2.67519	+	1.40405i	−0.106245	+	0.0557618i
$635$	−0.610453	+	5.02754i	−0.0242251	+	0.199512i
$636$	−16.5127	+	4.07002i	−0.654772	+	0.161387i
$637$	9.22191	−	21.9193i	0.365385	−	0.868474i
$638$	−6.69584	−	1.65038i	−0.265091	−	0.0653391i
$639$	−0.340055	+	0.896653i	−0.0134524	+	0.0354710i
$640$	0.430777	+	0.381635i	0.0170280	+	0.0150855i
$641$	−27.9720	+	6.89449i	−1.10483	+	0.272316i	−0.749221	−	0.662320i	$-0.769572\pi$
$641$	−27.9720	+	6.89449i	−1.10483	+	0.272316i	−0.355607	+	0.934635i	$0.615726\pi$
$642$	−8.04781	−	11.6593i	−0.317622	−	0.460154i
$643$	3.39973	+	27.9993i	0.134072	+	1.10418i	0.892061	+	0.451916i	$0.149259\pi$
$643$	3.39973	+	27.9993i	0.134072	+	1.10418i	−0.757988	+	0.652268i	$0.773818\pi$
$644$	−3.05725	−	8.06130i	−0.120472	−	0.317660i
$645$	−7.51606	+	19.8182i	−0.295944	+	0.780341i
$646$	0.643064	+	0.931639i	0.0253010	+	0.0366549i
$647$	−0.177217	−	0.0436801i	−0.00696712	−	0.00171724i	0.235831	−	0.971794i	$-0.424219\pi$
$647$	−0.177217	−	0.0436801i	−0.00696712	−	0.00171724i	−0.242798	+	0.970077i	$0.578065\pi$
$648$	−0.0102874	−	0.0271257i	−0.000404128	−	0.00106560i
$649$	2.84164	−	7.49279i	0.111544	−	0.294118i
$650$	−3.21991	+	7.65331i	−0.126295	+	0.300187i
$651$	−1.75061	−	4.61599i	−0.0686119	−	0.180915i
$652$	−34.7714	+	30.8047i	−1.36175	+	1.20641i
$653$	30.3726			1.18857			0.594287	−	0.804253i	$-0.297434\pi$
$653$	30.3726			1.18857			0.594287	+	0.804253i	$0.297434\pi$
$654$	−22.0172			−0.860940
$655$	−22.7474	+	20.1525i	−0.888816	+	0.787422i
$656$	−28.4359	+	14.9243i	−1.11023	+	0.582696i
$657$	2.23097			0.0870385
$658$	−6.95197	−	3.64867i	−0.271016	−	0.142240i
$659$	5.78180	+	5.12223i	0.225227	+	0.199534i	0.768188	−	0.640224i	$-0.221159\pi$
$659$	5.78180	+	5.12223i	0.225227	+	0.199534i	−0.542961	+	0.839758i	$0.682697\pi$
$660$	−18.2493	−	26.4387i	−0.710354	−	1.02912i
$661$	23.1472	+	20.5066i	0.900320	+	0.797614i	0.979957	−	0.199210i	$-0.0638376\pi$
$661$	23.1472	+	20.5066i	0.900320	+	0.797614i	−0.0796369	+	0.996824i	$0.525376\pi$
$662$	−10.2145	−	14.7982i	−0.396997	−	0.575150i
$663$	3.09194	−	0.645820i	0.120081	−	0.0250816i
$664$	0.0558279	−	0.0808806i	0.00216654	−	0.00313878i
$665$	0.987654	−	0.243435i	0.0382996	−	0.00944000i
$666$	−2.35266	+	2.08427i	−0.0911637	+	0.0807640i
$667$	3.49667	+	0.861852i	0.135392	+	0.0333711i
$668$	−30.2433	−	26.7932i	−1.17015	−	1.03666i
$669$	−10.5960	−	9.38727i	−0.409667	−	0.362933i
$670$	25.3712	−	66.8983i	0.980174	−	2.58451i
$671$	5.16789	−	7.48699i	0.199504	−	0.289032i
$672$	−4.51343	−	2.36883i	−0.174109	−	0.0913796i
$673$	2.98565	−	24.5891i	0.115088	−	0.947839i	−0.814735	−	0.579833i	$-0.803118\pi$
$673$	2.98565	−	24.5891i	0.115088	−	0.947839i	0.929824	−	0.368006i	$-0.119959\pi$
$674$	−45.0178	−	11.0959i	−1.73402	−	0.427398i
$675$	1.14935			0.0442385
$676$	1.29139	+	26.1564i	0.0496689	+	1.00601i
$677$	15.9284			0.612176			0.306088	−	0.952003i	$-0.400980\pi$
$677$	15.9284			0.612176			0.306088	+	0.952003i	$0.400980\pi$
$678$	8.01478	+	1.97547i	0.307806	+	0.0758674i
$679$	0.977520	−	8.05060i	0.0375138	−	0.308954i
$680$	−0.0558053	−	0.0292889i	−0.00214003	−	0.00112318i
$681$	3.59428	−	5.20722i	0.137733	−	0.199541i
$682$	35.4641	−	93.5110i	1.35799	−	3.58072i
$683$	16.2918	+	14.4333i	0.623388	+	0.552273i	0.914587	−	0.404389i	$-0.132516\pi$
$683$	16.2918	+	14.4333i	0.623388	+	0.552273i	−0.291199	+	0.956662i	$0.594054\pi$
$684$	0.972457	+	0.861522i	0.0371828	+	0.0329411i
$685$	48.2646	+	11.8962i	1.84410	+	0.454529i
$686$	12.9686	−	11.4892i	0.495144	−	0.438660i
$687$	−28.5551	+	7.03820i	−1.08944	+	0.268524i
$688$	−19.2801	+	27.9321i	−0.735048	+	1.06490i
$689$	−9.76976	−	28.8288i	−0.372198	−	1.09829i
$690$	18.9916	+	27.5142i	0.723000	+	1.04745i
$691$	−14.0138	−	12.4152i	−0.533110	−	0.472295i	0.353095	−	0.935588i	$-0.385129\pi$
$691$	−14.0138	−	12.4152i	−0.533110	−	0.472295i	−0.886205	+	0.463293i	$0.846668\pi$
$692$	19.2607	+	27.9039i	0.732180	+	1.06075i
$693$	3.06166	+	2.71239i	0.116303	+	0.103035i
$694$	60.0510	+	31.5172i	2.27950	+	1.19638i
$695$	−49.2976			−1.86996
$696$	−0.0137485	+	0.00721575i	−0.000521134	+	0.000273512i
$697$	5.30333	−	4.69834i	0.200878	−	0.177962i
$698$	−10.9861			−0.415831
$699$	5.20882			0.197016
$700$	−1.10230	+	0.976555i	−0.0416631	+	0.0369103i
$701$	−14.3022	−	37.7119i	−0.540188	−	1.42436i	−0.875945	−	0.482411i	$-0.839761\pi$
$701$	−14.3022	−	37.7119i	−0.540188	−	1.42436i	0.335757	−	0.941949i	$-0.391008\pi$
$702$	6.51257	−	3.12645i	0.245801	−	0.118000i
$703$	0.358757	−	0.945965i	0.0135308	−	0.0356777i
$704$	−18.5066	−	48.7979i	−0.697494	−	1.83914i
$705$	14.8336	+	3.65615i	0.558665	+	0.137699i
$706$	−27.2010	−	39.4075i	−1.02372	−	1.48312i
$707$	−2.62876	+	6.93147i	−0.0988647	+	0.260685i
$708$	−0.890144	−	2.34712i	−0.0334537	−	0.0882101i
$709$	6.09155	+	50.1684i	0.228773	+	1.88411i	0.427435	+	0.904046i	$0.359417\pi$
$709$	6.09155	+	50.1684i	0.228773	+	1.88411i	−0.198662	+	0.980068i	$0.563659\pi$
$710$	2.70665	+	3.92126i	0.101579	+	0.147162i
$711$	−6.75191	+	1.66420i	−0.253216	+	0.0624123i
$712$	0.0689095	+	0.0610485i	0.00258249	+	0.00228789i
$713$	−18.5199	+	48.8329i	−0.693575	+	1.82881i
$714$	1.08400	+	0.267181i	0.0405676	+	0.00999900i
$715$	44.3736	−	36.5660i	1.65948	−	1.36749i
$716$	−9.29175	+	2.29021i	−0.347249	+	0.0855892i
$717$	1.46597	−	12.0733i	0.0547476	−	0.450887i
$718$	5.68325	−	2.98280i	0.212097	−	0.111317i
$719$	7.81775	+	20.6137i	0.291553	+	0.768762i	0.998130	+	0.0611258i	$0.0194691\pi$
$719$	7.81775	+	20.6137i	0.291553	+	0.768762i	−0.706577	+	0.707636i	$0.749762\pi$
$720$	9.56069	+	2.35650i	0.356306	+	0.0878215i
$721$	8.56643	−	7.58920i	0.319031	−	0.282636i
$722$	36.1534	+	8.91100i	1.34549	+	0.331633i
$723$	2.71766	−	1.42634i	0.101071	−	0.0530461i
$724$	17.3417	−	9.10161i	0.644498	−	0.338259i
$725$	−0.0741477	−	0.610661i	−0.00275378	−	0.0226794i
$726$	7.33135	+	60.3791i	0.272092	+	2.24088i
$727$	−26.6537	+	23.6131i	−0.988532	+	0.875763i	−0.992253	−	0.124230i	$-0.960354\pi$
$727$	−26.6537	+	23.6131i	−0.988532	+	0.875763i	0.00372179	+	0.999993i	$0.498815\pi$
$728$	−0.0258003	+	0.0613241i	−0.000956224	+	0.00227282i
$729$	−0.748511	−	0.663123i	−0.0277226	−	0.0245601i
$730$	6.29682	−	9.12252i	0.233056	−	0.337640i
$731$	2.65526	−	7.00136i	0.0982085	−	0.258955i
$732$	−0.343500	−	2.82897i	−0.0126961	−	0.104562i
$733$	0.0743681	−	0.612476i	0.00274685	−	0.0226223i	−0.991271	−	0.131840i	$-0.957911\pi$
$733$	0.0743681	−	0.612476i	0.00274685	−	0.0226223i	0.994018	+	0.109218i	$0.0348346\pi$
$734$	42.3491	+	22.2265i	1.56314	+	0.820397i
$735$	−9.29088	+	13.4602i	−0.342699	+	0.496485i
$736$	19.1219	+	50.4204i	0.704844	+	1.85852i
$737$	−69.3164	+	61.4090i	−2.55330	+	2.26203i
$738$	9.20514	−	13.3360i	0.338846	−	0.490903i
$739$	11.7301	+	16.9940i	0.431500	+	0.625135i	0.977067	−	0.212932i	$-0.0683012\pi$
$739$	11.7301	+	16.9940i	0.431500	+	0.625135i	−0.545567	+	0.838067i	$0.683686\pi$
$740$	0.944589	+	7.77939i	0.0347238	+	0.285976i
$741$	−1.38848	+	1.86526i	−0.0510072	+	0.0685220i
$742$	1.29683	−	10.6804i	0.0476082	−	0.392089i
$743$	−19.3381	+	10.1494i	−0.709447	+	0.372347i	−0.780525	−	0.625124i	$-0.785048\pi$
$743$	−19.3381	+	10.1494i	−0.709447	+	0.372347i	0.0710781	+	0.997471i	$0.477356\pi$
$744$	−0.0798479	−	0.210542i	−0.00292737	−	0.00771883i
$745$	−1.45644	+	11.9949i	−0.0533599	+	0.439458i
$746$	−4.95495			−0.181414
$747$	0.408330	−	3.36290i	0.0149400	−	0.123042i
$748$	6.44710	+	9.34024i	0.235729	+	0.341513i
$749$	4.36663	−	1.07628i	0.159553	−	0.0393263i
$750$	−10.8683	+	15.7454i	−0.396854	+	0.574942i
$751$	−8.46523	+	2.08649i	−0.308901	+	0.0761372i	−0.390719	−	0.920510i	$-0.627773\pi$
$751$	−8.46523	+	2.08649i	−0.308901	+	0.0761372i	0.0818181	+	0.996647i	$0.473927\pi$
$752$	21.6614	+	11.3688i	0.789911	+	0.414577i
$753$	1.50625	+	0.790541i	0.0548908	+	0.0288089i
$754$	−2.08126	−	3.25850i	−0.0757950	−	0.118667i
$755$	−1.50334	+	0.789013i	−0.0547121	+	0.0287151i
$756$	1.28130			0.0466004
$757$	14.3968	+	7.55601i	0.523259	+	0.274628i	0.705603	−	0.708607i	$-0.250676\pi$
$757$	14.3968	+	7.55601i	0.523259	+	0.274628i	−0.182344	+	0.983235i	$0.558368\pi$
$758$	7.37446	−	19.4448i	0.267852	−	0.706269i
$759$	−5.21586	−	42.9565i	−0.189324	−	1.55922i
$760$	0.0450483	−	0.0111034i	0.00163407	−	0.000402763i
$761$	−14.0770	+	3.46967i	−0.510291	+	0.125775i	−0.486051	−	0.873931i	$-0.661563\pi$
$761$	−14.0770	+	3.46967i	−0.510291	+	0.125775i	−0.0242405	+	0.999706i	$0.507717\pi$
$762$	−0.493233	−	4.06214i	−0.0178680	−	0.147156i
$763$	2.47845	−	6.53513i	0.0897258	−	0.236588i
$764$	23.3597	+	12.2601i	0.845124	+	0.443555i
$765$	−2.17244			−0.0785446
$766$	67.6036	−	35.4811i	2.44262	−	1.28198i
$767$	4.05033	−	1.94442i	0.146249	−	0.0702090i
$768$	13.9599	+	7.32674i	0.503736	+	0.264381i
$769$	34.9154	+	18.3250i	1.25908	+	0.660817i	0.956340	−	0.292255i	$-0.0944056\pi$
$769$	34.9154	+	18.3250i	1.25908	+	0.660817i	0.302742	+	0.953073i	$0.402098\pi$
$770$	19.7325	−	4.86362i	0.711109	−	0.175273i
$771$	−3.11867	+	4.51817i	−0.112316	+	0.162718i
$772$	12.7989	−	3.15464i	0.460642	−	0.113538i
$773$	16.3216	+	23.6459i	0.587047	+	0.850484i	0.998131	−	0.0611136i	$-0.0194652\pi$
$773$	16.3216	+	23.6459i	0.587047	+	0.850484i	−0.411084	+	0.911597i	$0.634850\pi$
$774$	2.06426	−	17.0007i	0.0741983	−	0.611078i
$775$	8.92093			0.320449
$776$	0.0445861	−	0.367199i	0.00160055	−	0.0131817i
$777$	−0.353817	−	0.932939i	−0.0126931	−	0.0334690i
$778$	11.5835	−	6.07947i	0.415287	−	0.217959i
$779$	−0.628705	+	5.17785i	−0.0225257	+	0.185516i
$780$	2.80872	−	17.7911i	0.100568	−	0.637024i
$781$	−0.743354	−	6.12207i	−0.0265993	−	0.219065i
$782$	−6.70935	−	9.72017i	−0.239926	−	0.347593i
$783$	−0.304035	+	0.440471i	−0.0108653	+	0.0157412i
$784$	−19.6031	+	17.3668i	−0.700109	+	0.620243i
$785$	4.51174	+	11.8965i	0.161031	+	0.424604i
$786$	13.9487	−	20.2081i	0.497532	−	0.720799i
$787$	−14.2714	−	7.49021i	−0.508721	−	0.266997i	0.190775	−	0.981634i	$-0.438900\pi$
$787$	−14.2714	−	7.49021i	−0.508721	−	0.266997i	−0.699496	+	0.714637i	$0.746592\pi$
$788$	5.23576	−	43.1204i	0.186516	−	1.53610i
$789$	−3.54606	−	29.2045i	−0.126243	−	1.03971i
$790$	−12.2520	+	32.3059i	−0.435907	+	1.14939i
$791$	−1.48857	+	2.15657i	−0.0529275	+	0.0766787i
$792$	0.139647	+	0.123716i	0.00496213	+	0.00439606i
$793$	4.99279	−	1.04285i	0.177299	−	0.0370328i
$794$	17.8895	−	15.8487i	0.634875	−	0.562450i
$795$	2.52346	+	20.7826i	0.0894979	+	0.737081i
$796$	3.78299	+	31.1557i	0.134084	+	1.10428i
$797$	38.0746	−	19.9831i	1.34867	−	0.707837i	0.373155	−	0.927769i	$-0.378276\pi$
$797$	38.0746	−	19.9831i	1.34867	−	0.707837i	0.975515	+	0.219932i	$0.0705837\pi$
$798$	−0.727744	+	0.381950i	−0.0257619	+	0.0135209i
$799$	−5.24040	−	1.29164i	−0.185392	−	0.0456950i
$800$	6.89449	−	6.10798i	0.243757	−	0.215950i
$801$	3.08115	+	0.759435i	0.108867	+	0.0268333i
$802$	0.914351	+	2.41094i	0.0322868	+	0.0851334i
$803$	−12.7038	+	6.66745i	−0.448306	+	0.235289i
$804$	−3.49662	+	28.7973i	−0.123316	+	1.01560i
$805$	−10.3046	+	2.53986i	−0.363189	+	0.0895182i
$806$	50.5487	−	24.2666i	1.78050	−	0.854756i
$807$	−15.2539	−	3.75974i	−0.536962	−	0.132349i
$808$	−0.119901	+	0.316154i	−0.00421812	+	0.0111223i
$809$	−39.5161	−	35.0082i	−1.38931	−	1.23082i	−0.941638	−	0.336628i	$-0.890714\pi$
$809$	−39.5161	−	35.0082i	−1.38931	−	1.23082i	−0.447675	−	0.894196i	$-0.647748\pi$
$810$	−4.82417	+	1.18905i	−0.169504	+	0.0417790i
$811$	−28.9202	−	41.8981i	−1.01552	−	1.47124i	−0.876767	−	0.480915i	$-0.840304\pi$
$811$	−28.9202	−	41.8981i	−1.01552	−	1.47124i	−0.138758	−	0.990326i	$-0.544311\pi$
$812$	−0.0826601	−	0.680767i	−0.00290080	−	0.0238902i
$813$	−0.882384	−	2.32666i	−0.0309466	−	0.0815994i
$814$	7.16765	−	18.8996i	0.251226	−	0.662429i
$815$	32.4843	+	47.0616i	1.13787	+	1.64850i
$816$	−3.37759	−	0.832501i	−0.118239	−	0.0291434i
$817$	1.95472	+	5.15418i	0.0683870	+	0.180322i
$818$	18.5716	−	48.9694i	0.649342	−	1.71217i
$819$	0.194881	+	2.28500i	0.00680968	+	0.0798443i
$820$	−14.3265	−	37.7759i	−0.500303	−	1.31919i
$821$	24.8419	−	22.0080i	0.866989	−	0.768086i	−0.107100	−	0.994248i	$-0.534157\pi$
$821$	24.8419	−	22.0080i	0.866989	−	0.768086i	0.974090	+	0.226163i	$0.0726181\pi$
$822$	−40.1639			−1.40088
$823$	7.71993			0.269100			0.134550	−	0.990907i	$-0.457041\pi$
$823$	7.71993			0.269100			0.134550	+	0.990907i	$0.457041\pi$
$824$	0.390727	−	0.346154i	0.0136116	−	0.0120588i
$825$	−6.54471	+	3.43493i	−0.227858	+	0.119589i
$826$	1.58802			0.0552542
$827$	9.14902	+	4.80178i	0.318143	+	0.166974i	0.616234	−	0.787563i	$-0.288658\pi$
$827$	9.14902	+	4.80178i	0.318143	+	0.166974i	−0.298091	+	0.954537i	$0.596350\pi$
$828$	−10.1460	−	8.98860i	−0.352599	−	0.312376i
$829$	5.39001	+	7.80878i	0.187203	+	0.271210i	0.905336	−	0.424695i	$-0.139619\pi$
$829$	5.39001	+	7.80878i	0.187203	+	0.271210i	−0.718134	+	0.695905i	$0.755003\pi$
$830$	−12.5985	−	11.1613i	−0.437301	−	0.387415i
$831$	5.39551	+	7.81674i	0.187168	+	0.271160i
$832$	11.3472	−	26.9707i	0.393392	−	0.935042i
$833$	3.28227	−	4.75519i	0.113724	−	0.164758i
$834$	38.6740	−	9.53228i	1.33917	−	0.330076i
$835$	−37.2289	+	32.9819i	−1.28836	+	1.14139i
$836$	−8.11216	−	1.99947i	−0.280565	−	0.0691531i
$837$	−5.80973	−	5.14697i	−0.200814	−	0.177905i
$838$	−42.8874	−	37.9949i	−1.48152	−	1.31251i
$839$	15.0709	−	39.7387i	0.520305	−	1.37193i	−0.375225	−	0.926934i	$-0.622435\pi$
$839$	15.0709	−	39.7387i	0.520305	−	1.37193i	0.895531	−	0.444999i	$-0.146796\pi$
$840$	0.0259933	−	0.0376578i	0.000896854	−	0.00129932i
$841$	−25.4246	−	13.3439i	−0.876710	−	0.460133i
$842$	−4.45389	+	36.6811i	−0.153491	+	1.26411i
$843$	−2.27496	−	0.560727i	−0.0783538	−	0.0193125i
$844$	−30.5521			−1.05165
$845$	32.1549	+	2.30295i	1.10616	+	0.0792240i
$846$	−12.3439			−0.424393
$847$	−18.7470	−	4.62071i	−0.644153	−	0.158770i
$848$	−4.04076	+	33.2787i	−0.138760	+	1.14279i
$849$	19.3529	+	10.1572i	0.664191	+	0.348594i
$850$	−1.14603	+	1.66032i	−0.0393086	+	0.0569483i
$851$	−3.74306	+	9.86964i	−0.128310	+	0.338327i
$852$	−1.44599	−	1.28104i	−0.0495389	−	0.0438876i
$853$	15.5665	+	13.7907i	0.532987	+	0.472185i	0.886164	−	0.463371i	$-0.153360\pi$
$853$	15.5665	+	13.7907i	0.532987	+	0.472185i	−0.353178	+	0.935556i	$0.614899\pi$
$854$	1.75041	+	0.431437i	0.0598978	+	0.0147635i
$855$	1.19708	−	1.06052i	0.0409392	−	0.0362689i
$856$	0.199168	−	0.0490905i	0.00680742	−	0.00167788i
$857$	−14.8428	+	21.5035i	−0.507021	+	0.734546i	−0.989997	−	0.141087i	$-0.954940\pi$
$857$	−14.8428	+	21.5035i	−0.507021	+	0.734546i	0.482976	+	0.875633i	$0.339556\pi$
$858$	−27.7407	+	37.2662i	−0.947050	+	1.27225i
$859$	19.9793	+	28.9450i	0.681684	+	0.987590i	0.999226	+	0.0393453i	$0.0125272\pi$
$859$	19.9793	+	28.9450i	0.681684	+	0.987590i	−0.317542	+	0.948244i	$0.602857\pi$
$860$	−31.9600	−	28.3140i	−1.08983	−	0.965501i
$861$	2.92216	+	4.23348i	0.0995869	+	0.144277i
$862$	−18.8080	−	16.6625i	−0.640604	−	0.567525i
$863$	−18.2002	−	9.55218i	−0.619541	−	0.325160i	0.125586	−	0.992083i	$-0.459919\pi$
$863$	−18.2002	−	9.55218i	−0.619541	−	0.325160i	−0.745127	+	0.666923i	$0.767611\pi$
$864$	−8.01405			−0.272643
$865$	36.9566	−	19.3963i	1.25656	−	0.659495i
$866$	33.7974	−	29.9419i	1.14848	−	1.01747i
$867$	−16.2325			−0.551285
$868$	9.94508			0.337558
$869$	33.4736	−	29.6551i	1.13552	−	1.00598i
$870$	0.942975	+	2.48642i	0.0319698	+	0.0842975i
$871$	−51.8873	−	1.85572i	−1.75813	−	0.0628788i
$872$	0.113045	−	0.298076i	0.00382820	−	0.0100941i
$873$	−4.52130	−	11.9217i	−0.153023	−	0.403488i
$874$	8.44215	+	2.08080i	0.285560	+	0.0703842i
$875$	−3.45012	−	4.99836i	−0.116635	−	0.168975i
$876$	−1.59368	+	4.20220i	−0.0538455	+	0.141979i
$877$	1.48924	+	3.92681i	0.0502882	+	0.132599i	0.957807	−	0.287413i	$-0.0927951\pi$
$877$	1.48924	+	3.92681i	0.0502882	+	0.132599i	−0.907519	+	0.420012i	$0.862026\pi$
$878$	−3.77669	−	31.1038i	−0.127457	−	1.04970i
$879$	−3.30820	−	4.79275i	−0.111583	−	0.161655i
$880$	−61.4838	+	15.1544i	−2.07262	+	0.510854i
$881$	20.0215	+	17.7375i	0.674541	+	0.597591i	0.929261	−	0.369424i	$-0.120445\pi$
$881$	20.0215	+	17.7375i	0.674541	+	0.597591i	−0.254720	+	0.967015i	$0.581983\pi$
$882$	4.68601	−	12.3560i	0.157786	−	0.416048i
$883$	−14.2209	−	3.50514i	−0.478571	−	0.117957i	−0.00735146	−	0.999973i	$-0.502340\pi$
$883$	−14.2209	−	3.50514i	−0.478571	−	0.117957i	−0.471220	+	0.882016i	$0.656186\pi$
$884$	−0.992262	+	6.28523i	−0.0333734	+	0.211395i
$885$	−3.00027	+	0.739501i	−0.100853	+	0.0248580i
$886$	−9.60156	+	79.0760i	−0.322571	+	2.65661i
$887$	−48.7006	+	25.5600i	−1.63521	+	0.858222i	−0.639190	+	0.769049i	$0.720730\pi$
$887$	−48.7006	+	25.5600i	−1.63521	+	0.858222i	−0.996016	+	0.0891733i	$0.971577\pi$
$888$	−0.0161381	−	0.0425527i	−0.000541559	−	0.00142797i
$889$	1.26125	+	0.310869i	0.0423008	+	0.0104262i
$890$	11.8018	−	10.4555i	0.395596	−	0.350468i
$891$	6.24402	+	1.53901i	0.209183	+	0.0515589i
$892$	25.2508	−	13.2526i	0.845460	−	0.443731i
$893$	3.51815	−	1.84647i	0.117731	−	0.0617898i
$894$	−1.17677	−	9.69160i	−0.0393572	−	0.324136i
$895$	1.41996	+	11.6944i	0.0474640	+	0.390901i
$896$	0.110491	−	0.0978862i	0.00369123	−	0.00327015i
$897$	14.4866	−	19.4610i	0.483693	−	0.649784i
$898$	31.6691	+	28.0564i	1.05681	+	0.936254i
$899$	−2.35984	+	3.41881i	−0.0787049	+	0.114024i
$900$	−0.821031	+	2.16488i	−0.0273677	+	0.0721627i
$901$	−0.891485	−	7.34204i	−0.0296997	−	0.244599i
$902$	−12.5610	+	103.449i	−0.418235	+	3.44447i
$903$	4.81377	+	2.52646i	0.160192	+	0.0840754i
$904$	−0.0678958	+	0.0983641i	−0.00225818	+	0.00327154i
$905$	−8.54910	−	22.5421i	−0.284182	−	0.749326i
$906$	1.02681	−	0.909670i	0.0341133	−	0.0302218i
$907$	−5.85272	+	8.47913i	−0.194336	+	0.281545i	−0.908023	−	0.418920i	$-0.862409\pi$
$907$	−5.85272	+	8.47913i	−0.194336	+	0.281545i	0.713687	+	0.700465i	$0.247024\pi$
$908$	7.24061	+	10.4898i	0.240288	+	0.348117i
$909$	1.40488	+	11.5702i	0.0465968	+	0.383759i
$910$	9.89347	+	5.65243i	0.327965	+	0.187376i
$911$	−6.65606	+	54.8176i	−0.220525	+	1.81619i	0.290782	+	0.956789i	$0.406084\pi$
$911$	−6.65606	+	54.8176i	−0.220525	+	1.81619i	−0.511307	+	0.859398i	$0.670839\pi$
$912$	2.26756	−	1.19011i	0.0750863	−	0.0394083i
$913$	7.72517	+	20.3696i	0.255666	+	0.674135i
$914$	−3.56297	+	29.3437i	−0.117853	+	0.970603i
$915$	−3.50800			−0.115971
$916$	7.14122	−	58.8132i	0.235952	−	1.94324i
$917$	4.42798	+	6.41503i	0.146225	+	0.211843i
$918$	1.70428	−	0.420067i	0.0562495	−	0.0138643i
$919$	23.8085	−	34.4926i	0.785371	−	1.13781i	−0.202001	−	0.979385i	$-0.564744\pi$
$919$	23.8085	−	34.4926i	0.785371	−	1.13781i	0.987372	−	0.158421i	$-0.0506402\pi$
$920$	−0.470007	+	0.115846i	−0.0154957	+	0.00381934i
$921$	11.3349	+	5.94901i	0.373497	+	0.196026i
$922$	−52.1765	−	27.3844i	−1.71834	−	0.901856i
$923$	2.06460	−	2.77354i	0.0679571	−	0.0912922i
$924$	−7.29607	+	3.82927i	−0.240023	+	0.125974i
$925$	1.80301			0.0592827
$926$	−48.4533	−	25.4303i	−1.59227	−	0.835690i
$927$	6.38056	−	16.8242i	0.209565	−	0.552578i
$928$	0.517008	+	4.25794i	0.0169716	+	0.139774i
$929$	−48.1127	+	11.8587i	−1.57853	+	0.389072i	−0.928647	−	0.370964i	$-0.879027\pi$
$929$	−48.1127	+	11.8587i	−1.57853	+	0.389072i	−0.649881	+	0.760036i	$0.725181\pi$
$930$	−37.4438	+	9.22907i	−1.22783	+	0.302633i
$931$	0.512711	+	4.22256i	0.0168034	+	0.138389i
$932$	−3.72089	+	9.81117i	−0.121882	+	0.321376i
$933$	15.4919	+	8.13079i	0.507183	+	0.266190i
$934$	−11.4130			−0.373445
$935$	12.3704	−	6.49251i	0.404557	−	0.212328i
$936$	0.00888878	+	0.104222i	0.000290539	+	0.00340660i
$937$	−5.43992	−	2.85509i	−0.177715	−	0.0932718i	0.373520	−	0.927622i	$-0.378151\pi$
$937$	−5.43992	−	2.85509i	−0.177715	−	0.0932718i	−0.551235	+	0.834350i	$0.685843\pi$
$938$	−16.2494	−	8.52832i	−0.530560	−	0.278459i
$939$	−28.9543	+	7.13661i	−0.944890	+	0.232894i
$940$	−17.4829	+	25.3284i	−0.570230	+	0.826120i
$941$	−25.5232	+	6.29092i	−0.832034	+	0.205078i	−0.632252	−	0.774762i	$-0.717869\pi$
$941$	−25.5232	+	6.29092i	−0.832034	+	0.205078i	−0.199782	+	0.979840i	$0.564023\pi$
$942$	−5.83979	−	8.46040i	−0.190271	−	0.275655i
$943$	6.55953	−	54.0226i	0.213608	−	1.75922i
$944$	−4.94805			−0.161045
$945$	0.190117	−	1.56576i	0.00618452	−	0.0509341i
$946$	39.0536	+	102.976i	1.26974	+	3.34804i
$947$	38.9527	−	20.4439i	1.26579	−	0.664339i	0.307887	−	0.951423i	$-0.400378\pi$
$947$	38.9527	−	20.4439i	1.26579	−	0.664339i	0.957905	+	0.287084i	$0.0926859\pi$
$948$	1.68856	−	13.9065i	0.0548418	−	0.451663i
$949$	−7.73635	−	2.20295i	−0.251133	−	0.0715107i
$950$	−0.179018	−	1.47434i	−0.00580810	−	0.0478340i
$951$	−0.856585	−	1.24098i	−0.0277767	−	0.0402415i
$952$	−0.00918289	+	0.0133037i	−0.000297619	+	0.000431176i
$953$	25.2951	−	22.4095i	0.819390	−	0.725916i	−0.145277	−	0.989391i	$-0.546407\pi$
$953$	25.2951	−	22.4095i	0.819390	−	0.725916i	0.964666	+	0.263475i	$0.0848687\pi$
$954$	−5.99821	−	15.8160i	−0.194199	−	0.512061i
$955$	18.4480	−	26.7266i	0.596964	−	0.864852i
$956$	21.6938	+	11.3858i	0.701627	+	0.368242i
$957$	0.414874	−	3.41680i	0.0134110	−	0.110449i
$958$	−0.958962	−	7.89777i	−0.0309827	−	0.255165i
$959$	4.52120	−	11.9214i	0.145997	−	0.384962i
$960$	−11.4320	+	16.5621i	−0.368967	+	0.534541i
$961$	−21.8896	−	19.3925i	−0.706117	−	0.625565i
$962$	10.2164	−	4.90454i	0.329390	−	0.158129i
$963$	5.29253	−	4.68877i	0.170549	−	0.151094i
$964$	0.745264	+	6.13780i	0.0240033	+	0.197685i
$965$	−1.95592	−	16.1084i	−0.0629632	−	0.518548i
$966$	7.59285	−	3.98504i	0.244296	−	0.128216i
$967$	38.6433	−	20.2815i	1.24268	−	0.652210i	0.290248	−	0.956951i	$-0.406262\pi$
$967$	38.6433	−	20.2815i	1.24268	−	0.652210i	0.952435	+	0.304741i	$0.0985699\pi$
$968$	−0.855076	−	0.210757i	−0.0274832	−	0.00677399i
$969$	−0.422902	+	0.374659i	−0.0135856	+	0.0120358i
$970$	−61.5094	−	15.1607i	−1.97495	−	0.486781i
$971$	−4.83353	−	12.7450i	−0.155115	−	0.409005i	0.834821	−	0.550522i	$-0.185571\pi$
$971$	−4.83353	−	12.7450i	−0.155115	−	0.409005i	−0.989936	+	0.141517i	$0.954802\pi$
$972$	1.78373	−	0.936175i	0.0572133	−	0.0300278i
$973$	−1.52412	+	12.5522i	−0.0488609	+	0.402406i
$974$	−14.3978	+	3.54875i	−0.461336	+	0.113709i
$975$	−3.98560	−	1.13491i	−0.127641	−	0.0363462i
$976$	−5.45405	−	1.34430i	−0.174580	−	0.0430301i
$977$	9.33342	−	24.6102i	0.298602	−	0.787350i	−0.698800	−	0.715317i	$-0.746282\pi$
$977$	9.33342	−	24.6102i	0.298602	−	0.787350i	0.997402	−	0.0720327i	$-0.0229486\pi$
$978$	−34.5839	−	30.6386i	−1.10587	−	0.979715i
$979$	−19.8146	+	4.88385i	−0.633276	+	0.156088i
$980$	−18.7163	−	27.1152i	−0.597870	−	0.866164i
$981$	−1.32454	−	10.9086i	−0.0422894	−	0.348285i
$982$	−8.34178	−	21.9955i	−0.266197	−	0.701903i
$983$	14.1180	−	37.2260i	0.450293	−	1.18733i	−0.497224	−	0.867622i	$-0.665647\pi$
$983$	14.1180	−	37.2260i	0.450293	−	1.18733i	0.947517	−	0.319704i	$-0.103583\pi$
$984$	0.133284	+	0.193095i	0.00424893	+	0.00615564i
$985$	−51.9165	−	12.7963i	−1.65420	−	0.407723i
$986$	−0.333133	−	0.878400i	−0.0106091	−	0.0279740i
$987$	1.38954	−	3.66391i	0.0442295	−	0.116624i
$988$	−2.52149	−	3.94774i	−0.0802194	−	0.125594i
$989$	−20.3944	−	53.7756i	−0.648504	−	1.70997i
$990$	23.9166	−	21.1882i	0.760118	−	0.673406i
$991$	55.2422			1.75483			0.877414	−	0.479735i	$-0.159267\pi$
$991$	55.2422			1.75483			0.877414	+	0.479735i	$0.159267\pi$
$992$	−62.2028			−1.97494
$993$	6.71742	−	5.95111i	0.213171	−	0.188853i
$994$	1.08212	−	0.567939i	0.0343227	−	0.0180139i
$995$	38.6338			1.22477
$996$	6.04257	+	3.17139i	0.191466	+	0.100489i
$997$	14.1032	+	12.4944i	0.446653	+	0.395700i	0.856246	−	0.516568i	$-0.172791\pi$
$997$	14.1032	+	12.4944i	0.446653	+	0.395700i	−0.409593	+	0.912268i	$0.634329\pi$
$998$	27.1150	+	39.2828i	0.858309	+	1.24348i
$999$	−1.17421	−	1.04026i	−0.0371502	−	0.0329122i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	507.2.m.b.40.4	✓	204
169.131	even	13	inner	507.2.m.b.469.4	yes	204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
507.2.m.b.40.4	✓	204	1.1	even	1	trivial
507.2.m.b.469.4	yes	204	169.131	even	13	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.m (of order \(13\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.94540 - 0.479497i) q^{2} +(0.120537 - 0.992709i) q^{3} +(1.78373 + 0.936175i) q^{4} +(1.40868 - 2.04083i) q^{5} +(-0.710492 + 1.87341i) q^{6} +(-0.476086 - 0.421776i) q^{7} +(-0.0217150 - 0.0192378i) q^{8} +(-0.970942 - 0.239316i) q^{9} +(-3.71901 + 3.29475i) q^{10} +(6.24402 - 1.53901i) q^{11} +(1.14435 - 1.65788i) q^{12} +(3.13063 + 1.78862i) q^{13} +(0.723936 + 1.04880i) q^{14} +(-1.85615 - 1.64440i) q^{15} +(-2.25569 - 3.26793i) q^{16} +(0.655738 + 0.580933i) q^{17} +(1.77411 + 0.931127i) q^{18} -0.644925 q^{19} +(4.42328 - 2.32152i) q^{20} +(-0.476086 + 0.421776i) q^{21} -12.8850 q^{22} +6.72877 q^{23} +(-0.0217150 + 0.0192378i) q^{24} +(-0.407565 - 1.07466i) q^{25} +(-5.23267 - 4.98070i) q^{26} +(-0.354605 + 0.935016i) q^{27} +(-0.454355 - 1.19804i) q^{28} +(0.519660 + 0.128085i) q^{29} +(2.82246 + 4.08903i) q^{30} +(-2.75234 + 7.25733i) q^{31} +(2.84182 + 7.49326i) q^{32} +(-0.775159 - 6.38400i) q^{33} +(-0.997114 - 1.44457i) q^{34} +(-1.53142 + 0.377462i) q^{35} +(-1.50786 - 1.33585i) q^{36} +(-0.556277 + 1.46678i) q^{37} +(1.25463 + 0.309240i) q^{38} +(2.15293 - 2.89221i) q^{39} +(-0.0698504 + 0.0172166i) q^{40} +(0.974849 - 8.02860i) q^{41} +(1.12842 - 0.592239i) q^{42} +(-3.03093 - 7.99190i) q^{43} +(12.5785 + 3.10031i) q^{44} +(-1.85615 + 1.64440i) q^{45} +(-13.0901 - 3.22642i) q^{46} +(-5.45513 + 2.86308i) q^{47} +(-3.51600 + 1.84534i) q^{48} +(-0.794993 - 6.54736i) q^{49} +(0.277579 + 2.28607i) q^{50} +(0.655738 - 0.580933i) q^{51} +(3.90974 + 6.12124i) q^{52} +(-6.31918 - 5.59830i) q^{53} +(1.13818 - 1.64894i) q^{54} +(5.65497 - 14.9109i) q^{55} +(0.00222417 + 0.0183177i) q^{56} +(-0.0777372 + 0.640223i) q^{57} +(-0.949528 - 0.498351i) q^{58} +(0.707866 - 1.02552i) q^{59} +(-1.77142 - 4.67086i) q^{60} +(1.05887 - 0.938076i) q^{61} +(8.83426 - 12.7986i) q^{62} +(0.361315 + 0.523455i) q^{63} +(-0.978205 - 8.05624i) q^{64} +(8.06032 - 3.86947i) q^{65} +(-1.55312 + 12.7911i) q^{66} +(-12.7507 + 6.69208i) q^{67} +(0.625806 + 1.65012i) q^{68} +(0.811063 - 6.67971i) q^{69} +3.16022 q^{70} +(0.115591 - 0.951978i) q^{71} +(0.0164801 + 0.0238755i) q^{72} +(-2.16614 + 0.533907i) q^{73} +(1.78550 - 2.58674i) q^{74} +(-1.11595 + 0.275057i) q^{75} +(-1.15037 - 0.603763i) q^{76} +(-3.62181 - 1.90087i) q^{77} +(-5.57511 + 4.59416i) q^{78} +(6.15744 - 3.23168i) q^{79} -9.84682 q^{80} +(0.885456 + 0.464723i) q^{81} +(-5.74616 + 15.1514i) q^{82} +(0.408330 + 3.36290i) q^{83} +(-1.24407 + 0.306635i) q^{84} +(2.10931 - 0.519898i) q^{85} +(2.06426 + 17.0007i) q^{86} +(0.189789 - 0.500432i) q^{87} +(-0.165196 - 0.0867015i) q^{88} -3.17336 q^{89} +(4.39943 - 2.30900i) q^{90} +(-0.736053 - 2.17196i) q^{91} +(12.0023 + 6.29931i) q^{92} +(6.87266 + 3.60705i) q^{93} +(11.9852 - 2.95409i) q^{94} +(-0.908494 + 1.31618i) q^{95} +(7.78117 - 1.91789i) q^{96} +(7.24297 + 10.4933i) q^{97} +(-1.59286 + 13.1184i) q^{98} -6.43089 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - q^{2} - 17 q^{3} - 21 q^{4} - 6 q^{5} - q^{6} - 8 q^{7} - 9 q^{8} - 17 q^{9} - 6 q^{10} - 8 q^{11} - 21 q^{12} + 54 q^{13} - 30 q^{14} - 6 q^{15} - 45 q^{16} - 18 q^{17} - q^{18} - 20 q^{19}+ \cdots + 18 q^{99}+O(q^{100}) \) 204 * q - q^2 - 17 * q^3 - 21 * q^4 - 6 * q^5 - q^6 - 8 * q^7 - 9 * q^8 - 17 * q^9 - 6 * q^10 - 8 * q^11 - 21 * q^12 + 54 * q^13 - 30 * q^14 - 6 * q^15 - 45 * q^16 - 18 * q^17 - q^18 - 20 * q^19 - 58 * q^20 - 8 * q^21 + 44 * q^22 + 40 * q^23 - 9 * q^24 + 7 * q^25 - 2 * q^26 - 17 * q^27 - 40 * q^28 + 11 * q^29 - 6 * q^30 + 2 * q^31 + 61 * q^32 + 5 * q^33 - q^34 + 11 * q^35 - 21 * q^36 - 34 * q^37 + 17 * q^38 - 11 * q^39 - 31 * q^40 - 58 * q^41 + 35 * q^42 + 32 * q^43 - 41 * q^44 - 6 * q^45 + 76 * q^46 - 36 * q^47 - 45 * q^48 + 9 * q^49 - 35 * q^50 - 18 * q^51 - 24 * q^52 + 66 * q^53 - q^54 + 7 * q^55 - 114 * q^56 - 7 * q^57 - 60 * q^58 + 40 * q^59 + 59 * q^60 - 54 * q^61 - 31 * q^62 - 8 * q^63 + 75 * q^64 - 26 * q^65 + 18 * q^66 + 2 * q^67 + 26 * q^68 - 12 * q^69 - 56 * q^70 - 37 * q^71 - 9 * q^72 + 70 * q^73 + 174 * q^74 - 45 * q^75 - 26 * q^76 + 24 * q^78 - 66 * q^79 + 126 * q^80 - 17 * q^81 - 17 * q^82 - 2 * q^83 - 40 * q^84 + 54 * q^85 + 61 * q^86 + 24 * q^87 + 94 * q^88 - 114 * q^89 - 6 * q^90 + 104 * q^91 - 78 * q^92 + 67 * q^93 - 63 * q^94 - 70 * q^95 - 4 * q^96 + 36 * q^97 - 65 * q^98 + 18 * q^99

Introduction

L-functions

Modular forms

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Database

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