LMFDB - Embedded newform 184.2.j.a.107.21

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			107.21
Character	$\chi$	$=$	184.107
Dual form			184.2.j.a.43.21

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.36163 + 0.382042i) q^{2} +(-1.09406 - 2.39566i) q^{3} +(1.70809 + 1.04040i) q^{4} +(-2.07888 - 2.39915i) q^{5} +(-0.574467 - 3.67999i) q^{6} +(-2.05633 - 1.32152i) q^{7} +(1.92831 + 2.06921i) q^{8} +(-2.57763 + 2.97474i) q^{9} +(-1.91409 - 4.06098i) q^{10} +(4.22113 - 0.606906i) q^{11} +(0.623697 - 5.23026i) q^{12} +(1.73266 + 2.69608i) q^{13} +(-2.29508 - 2.58503i) q^{14} +(-3.47313 + 7.60509i) q^{15} +(1.83513 + 3.55420i) q^{16} +(1.19030 + 4.05381i) q^{17} +(-4.64626 + 3.06575i) q^{18} +(2.01257 - 6.85419i) q^{19} +(-1.05482 - 6.26082i) q^{20} +(-0.916167 + 6.37208i) q^{21} +(5.97949 + 0.786264i) q^{22} +(4.76790 - 0.516883i) q^{23} +(2.84742 - 6.88341i) q^{24} +(-0.722624 + 5.02596i) q^{25} +(1.32924 + 4.33302i) q^{26} +(2.36563 + 0.694612i) q^{27} +(-2.13747 - 4.39668i) q^{28} +(-0.219068 - 0.746078i) q^{29} +(-7.63459 + 9.02846i) q^{30} +(-3.02811 - 1.38289i) q^{31} +(1.14092 + 5.54061i) q^{32} +(-6.07211 - 9.44839i) q^{33} +(0.0720336 + 5.97454i) q^{34} +(1.10432 + 7.68071i) q^{35} +(-7.49775 + 2.39935i) q^{36} +(-3.72550 + 4.29946i) q^{37} +(5.35898 - 8.56401i) q^{38} +(4.56324 - 7.10054i) q^{39} +(0.955620 - 8.92793i) q^{40} +(4.46097 + 5.14823i) q^{41} +(-3.68189 + 8.32642i) q^{42} +(-7.42601 + 3.39134i) q^{43} +(7.84148 + 3.35502i) q^{44} +12.4954 q^{45} +(6.68959 + 1.11773i) q^{46} +4.96239i q^{47} +(6.50690 - 8.28485i) q^{48} +(-0.425844 - 0.932469i) q^{49} +(-2.90408 + 6.56744i) q^{50} +(8.40927 - 7.28668i) q^{51} +(0.154537 + 6.40780i) q^{52} +(-3.91295 - 2.51470i) q^{53} +(2.95575 + 1.84958i) q^{54} +(-10.2313 - 8.86543i) q^{55} +(-1.23074 - 6.80327i) q^{56} +(-18.6222 + 2.67747i) q^{57} +(-0.0132573 - 1.09958i) q^{58} +(-8.13360 + 5.22715i) q^{59} +(-13.8448 + 9.37671i) q^{60} +(2.48100 - 5.43263i) q^{61} +(-3.59485 - 3.03985i) q^{62} +(9.23164 - 2.71065i) q^{63} +(-0.563235 + 7.98015i) q^{64} +(2.86630 - 9.76173i) q^{65} +(-4.65830 - 15.1850i) q^{66} +(2.79093 + 0.401275i) q^{67} +(-2.18444 + 8.16265i) q^{68} +(-6.45464 - 10.8568i) q^{69} +(-1.43068 + 10.8802i) q^{70} +(8.76749 + 1.26057i) q^{71} +(-11.1258 + 0.402581i) q^{72} +(0.107965 + 0.0317015i) q^{73} +(-6.71534 + 4.43098i) q^{74} +(12.8311 - 3.76755i) q^{75} +(10.5688 - 9.61368i) q^{76} +(-9.48205 - 4.33031i) q^{77} +(8.92616 - 7.92498i) q^{78} +(3.79042 - 2.43595i) q^{79} +(4.71205 - 11.7915i) q^{80} +(0.756427 + 5.26107i) q^{81} +(4.10736 + 8.71428i) q^{82} +(4.77682 + 4.13913i) q^{83} +(-8.19442 + 9.93089i) q^{84} +(7.25119 - 11.2831i) q^{85} +(-11.4071 + 1.78072i) q^{86} +(-1.54768 + 1.34107i) q^{87} +(9.39546 + 7.56408i) q^{88} +(3.30946 - 1.51138i) q^{89} +(17.0142 + 4.77378i) q^{90} -7.83376i q^{91} +(8.68175 + 4.07765i) q^{92} +8.76728i q^{93} +(-1.89584 + 6.75695i) q^{94} +(-20.6281 + 9.42055i) q^{95} +(12.0252 - 8.79501i) q^{96} +(3.10872 - 2.69372i) q^{97} +(-0.223601 - 1.43237i) q^{98} +(-9.07511 + 14.1212i) 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 $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{17}{22}\right)$

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 $

$2$	1.36163	+	0.382042i	0.962820	+	0.270145i
$2$	1.36163	+	0.382042i	0.962820	+	0.270145i
$3$	−1.09406	−	2.39566i	−0.631656	−	1.38313i	−0.906730	−	0.421711i	$-0.861430\pi$
$3$	−1.09406	−	2.39566i	−0.631656	−	1.38313i	0.275074	−	0.961423i	$-0.411298\pi$
$4$	1.70809	+	1.04040i	0.854044	+	0.520201i
$5$	−2.07888	−	2.39915i	−0.929701	−	1.07293i	−0.997168	−	0.0752109i	$-0.976037\pi$
$5$	−2.07888	−	2.39915i	−0.929701	−	1.07293i	0.0674664	−	0.997722i	$-0.478508\pi$
$6$	−0.574467	−	3.67999i	−0.234525	−	1.50235i
$7$	−2.05633	−	1.32152i	−0.777218	−	0.499488i	0.0908911	−	0.995861i	$-0.471028\pi$
$7$	−2.05633	−	1.32152i	−0.777218	−	0.499488i	−0.868109	+	0.496373i	$0.834665\pi$
$8$	1.92831	+	2.06921i	0.681761	+	0.731575i
$9$	−2.57763	+	2.97474i	−0.859210	+	0.991581i
$10$	−1.91409	−	4.06098i	−0.605288	−	1.28419i
$11$	4.22113	−	0.606906i	1.27272	−	0.182989i	0.527353	−	0.849646i	$-0.323185\pi$
$11$	4.22113	−	0.606906i	1.27272	−	0.182989i	0.745365	+	0.666657i	$0.232275\pi$
$12$	0.623697	−	5.23026i	0.180046	−	1.50985i
$13$	1.73266	+	2.69608i	0.480554	+	0.747757i	0.993883	−	0.110435i	$-0.0352243\pi$
$13$	1.73266	+	2.69608i	0.480554	+	0.747757i	−0.513329	+	0.858192i	$0.671588\pi$
$14$	−2.29508	−	2.58503i	−0.613387	−	0.690878i
$15$	−3.47313	+	7.60509i	−0.896758	+	1.96363i
$16$	1.83513	+	3.55420i	0.458782	+	0.888549i
$17$	1.19030	+	4.05381i	0.288691	+	0.983192i	0.968336	+	0.249651i	$0.0803159\pi$
$17$	1.19030	+	4.05381i	0.288691	+	0.983192i	−0.679645	+	0.733542i	$0.737866\pi$
$18$	−4.64626	+	3.06575i	−1.09513	+	0.722603i
$19$	2.01257	−	6.85419i	0.461716	−	1.57246i	−0.319114	−	0.947716i	$-0.603385\pi$
$19$	2.01257	−	6.85419i	0.461716	−	1.57246i	0.780830	−	0.624744i	$-0.214797\pi$
$20$	−1.05482	−	6.26082i	−0.235865	−	1.39996i
$21$	−0.916167	+	6.37208i	−0.199924	+	1.39050i
$22$	5.97949	+	0.786264i	1.27483	+	0.167632i
$23$	4.76790	−	0.516883i	0.994175	−	0.107777i
$23$	4.76790	−	0.516883i	0.994175	−	0.107777i
$24$	2.84742	−	6.88341i	0.581228	−	1.40507i
$25$	−0.722624	+	5.02596i	−0.144525	+	1.00519i
$26$	1.32924	+	4.33302i	0.260685	+	0.849774i
$27$	2.36563	+	0.694612i	0.455266	+	0.133678i
$28$	−2.13747	−	4.39668i	−0.403944	−	0.830894i
$29$	−0.219068	−	0.746078i	−0.0406800	−	0.138543i	0.936649	−	0.350269i	$-0.113910\pi$
$29$	−0.219068	−	0.746078i	−0.0406800	−	0.138543i	−0.977329	+	0.211726i	$0.932092\pi$
$30$	−7.63459	+	9.02846i	−1.39388	+	1.64836i
$31$	−3.02811	−	1.38289i	−0.543864	−	0.248374i	0.124486	−	0.992221i	$-0.460272\pi$
$31$	−3.02811	−	1.38289i	−0.543864	−	0.248374i	−0.668350	+	0.743847i	$0.732999\pi$
$32$	1.14092	+	5.54061i	0.201688	+	0.979450i
$33$	−6.07211	−	9.44839i	−1.05702	−	1.64475i
$34$	0.0720336	+	5.97454i	0.0123537	+	1.02463i
$35$	1.10432	+	7.68071i	0.186664	+	1.29828i
$36$	−7.49775	+	2.39935i	−1.24962	+	0.399892i
$37$	−3.72550	+	4.29946i	−0.612469	+	0.706827i	−0.974259	−	0.225433i	$-0.927620\pi$
$37$	−3.72550	+	4.29946i	−0.612469	+	0.706827i	0.361790	+	0.932260i	$0.382166\pi$
$38$	5.35898	−	8.56401i	0.869341	−	1.38927i
$39$	4.56324	−	7.10054i	0.730703	−	1.13700i
$40$	0.955620	−	8.92793i	0.151097	−	1.41163i
$41$	4.46097	+	5.14823i	0.696686	+	0.804018i	0.988301	−	0.152517i	$-0.0487380\pi$
$41$	4.46097	+	5.14823i	0.696686	+	0.804018i	−0.291615	+	0.956536i	$0.594193\pi$
$42$	−3.68189	+	8.32642i	−0.568127	+	1.28479i
$43$	−7.42601	+	3.39134i	−1.13246	+	0.517175i	−0.891346	−	0.453323i	$-0.850238\pi$
$43$	−7.42601	+	3.39134i	−1.13246	+	0.517175i	−0.241109	+	0.970498i	$0.577511\pi$
$44$	7.84148	+	3.35502i	1.18215	+	0.505788i
$45$	12.4954			1.86271
$46$	6.68959	+	1.11773i	0.986327	+	0.164801i
$47$			4.96239i			0.723839i	0.932209	+	0.361919i	$0.117878\pi$
$47$			4.96239i			0.723839i	−0.932209	+	0.361919i	$0.882122\pi$
$48$	6.50690	−	8.28485i	0.939190	−	1.19581i
$49$	−0.425844	−	0.932469i	−0.0608349	−	0.133210i
$50$	−2.90408	+	6.56744i	−0.410698	+	0.928776i
$51$	8.40927	−	7.28668i	1.17753	−	1.02034i
$52$	0.154537	+	6.40780i	0.0214304	+	0.888602i
$53$	−3.91295	−	2.51470i	−0.537485	−	0.345421i	0.243569	−	0.969883i	$-0.421682\pi$
$53$	−3.91295	−	2.51470i	−0.537485	−	0.345421i	−0.781055	+	0.624463i	$0.785318\pi$
$54$	2.95575	+	1.84958i	0.402227	+	0.251696i
$55$	−10.2313	−	8.86543i	−1.37958	−	1.19541i
$56$	−1.23074	−	6.80327i	−0.164464	−	0.909125i
$57$	−18.6222	+	2.67747i	−2.46657	+	0.354639i
$58$	−0.0132573	−	1.09958i	−0.00174077	−	0.144382i
$59$	−8.13360	+	5.22715i	−1.05890	+	0.680517i	−0.949591	−	0.313491i	$-0.898502\pi$
$59$	−8.13360	+	5.22715i	−1.05890	+	0.680517i	−0.109313	+	0.994007i	$0.534865\pi$
$60$	−13.8448	+	9.37671i	−1.78735	+	1.21053i
$61$	2.48100	−	5.43263i	0.317659	−	0.695577i	−0.681690	−	0.731641i	$-0.738755\pi$
$61$	2.48100	−	5.43263i	0.317659	−	0.695577i	0.999349	+	0.0360642i	$0.0114821\pi$
$62$	−3.59485	−	3.03985i	−0.456546	−	0.386062i
$63$	9.23164	−	2.71065i	1.16308	−	0.341510i
$64$	−0.563235	+	7.98015i	−0.0704043	+	0.997519i
$65$	2.86630	−	9.76173i	0.355521	−	1.21079i
$66$	−4.65830	−	15.1850i	−0.573397	−	1.86915i
$67$	2.79093	+	0.401275i	0.340967	+	0.0490236i	0.310671	−	0.950517i	$-0.399446\pi$
$67$	2.79093	+	0.401275i	0.340967	+	0.0490236i	0.0302952	+	0.999541i	$0.490355\pi$
$68$	−2.18444	+	8.16265i	−0.264903	+	0.989867i
$69$	−6.45464	−	10.8568i	−0.777048	−	1.30700i
$70$	−1.43068	+	10.8802i	−0.170999	+	1.30043i
$71$	8.76749	+	1.26057i	1.04051	+	0.149603i	0.641326	−	0.767269i	$-0.278385\pi$
$71$	8.76749	+	1.26057i	1.04051	+	0.149603i	0.399183	+	0.916871i	$0.369294\pi$
$72$	−11.1258	+	0.402581i	−1.31119	+	0.0474446i
$73$	0.107965	+	0.0317015i	0.0126364	+	0.00371038i	0.288045	−	0.957617i	$-0.406995\pi$
$73$	0.107965	+	0.0317015i	0.0126364	+	0.00371038i	−0.275408	+	0.961327i	$0.588813\pi$
$74$	−6.71534	+	4.43098i	−0.780642	+	0.515092i
$75$	12.8311	−	3.76755i	1.48161	−	0.435039i
$76$	10.5688	−	9.61368i	1.21232	−	1.10276i
$77$	−9.48205	−	4.33031i	−1.08058	−	0.493484i
$78$	8.92616	−	7.92498i	1.01069	−	0.897327i
$79$	3.79042	−	2.43595i	0.426455	−	0.274066i	−0.309758	−	0.950815i	$-0.600248\pi$
$79$	3.79042	−	2.43595i	0.426455	−	0.274066i	0.736214	+	0.676749i	$0.236612\pi$
$80$	4.71205	−	11.7915i	0.526823	−	1.31833i
$81$	0.756427	+	5.26107i	0.0840475	+	0.584563i
$82$	4.10736	+	8.71428i	0.453582	+	0.962331i
$83$	4.77682	+	4.13913i	0.524324	+	0.454329i	0.876360	−	0.481657i	$-0.159965\pi$
$83$	4.77682	+	4.13913i	0.524324	+	0.454329i	−0.352036	+	0.935986i	$0.614511\pi$
$84$	−8.19442	+	9.93089i	−0.894084	+	1.08355i
$85$	7.25119	−	11.2831i	0.786502	−	1.22382i
$86$	−11.4071	+	1.78072i	−1.23006	+	0.192020i
$87$	−1.54768	+	1.34107i	−0.165928	+	0.143778i
$88$	9.39546	+	7.56408i	1.00156	+	0.806334i
$89$	3.30946	−	1.51138i	0.350802	−	0.160206i	−0.232218	−	0.972664i	$-0.574598\pi$
$89$	3.30946	−	1.51138i	0.350802	−	0.160206i	0.583020	+	0.812458i	$0.301871\pi$
$90$	17.0142	+	4.77378i	1.79345	+	0.503201i
$91$		−	7.83376i		−	0.821202i
$92$	8.68175	+	4.07765i	0.905135	+	0.425124i
$93$			8.76728i			0.909125i
$94$	−1.89584	+	6.75695i	−0.195541	+	0.696926i
$95$	−20.6281	+	9.42055i	−2.11640	+	0.966528i
$96$	12.0252	−	8.79501i	1.22731	−	0.897637i
$97$	3.10872	−	2.69372i	0.315642	−	0.273506i	−0.482602	−	0.875840i	$-0.660308\pi$
$97$	3.10872	−	2.69372i	0.315642	−	0.273506i	0.798244	+	0.602334i	$0.205763\pi$
$98$	−0.223601	−	1.43237i	−0.0225871	−	0.144691i
$99$	−9.07511	+	14.1212i	−0.912083	+	1.41923i
$100$	−6.46332	+	7.83296i	−0.646332	+	0.783296i
$101$	12.9733	+	11.2415i	1.29090	+	1.11857i	0.986100	+	0.166150i	$0.0531336\pi$
$101$	12.9733	+	11.2415i	1.29090	+	1.11857i	0.304796	+	0.952418i	$0.401412\pi$
$102$	14.2342	−	6.70908i	1.40939	−	0.664298i
$103$	0.577459	+	4.01632i	0.0568987	+	0.395739i	0.998292	+	0.0584274i	$0.0186086\pi$
$103$	0.577459	+	4.01632i	0.0568987	+	0.395739i	−0.941393	+	0.337312i	$0.890482\pi$
$104$	−2.23763	+	8.78411i	−0.219417	+	0.861353i
$105$	17.1922	−	11.0487i	1.67778	−	1.07825i
$106$	−4.36728	−	4.91901i	−0.424188	−	0.477777i
$107$	−11.6229	−	5.30798i	−1.12362	−	0.513142i	−0.235100	−	0.971971i	$-0.575542\pi$
$107$	−11.6229	−	5.30798i	−1.12362	−	0.513142i	−0.888525	+	0.458829i	$0.848269\pi$
$108$	3.31803	+	3.64767i	0.319278	+	0.350997i
$109$	13.8793	−	4.07534i	1.32940	−	0.390347i	0.461523	−	0.887128i	$-0.347303\pi$
$109$	13.8793	−	4.07534i	1.32940	−	0.390347i	0.867876	+	0.496782i	$0.165485\pi$
$110$	−10.5442	−	15.9802i	−1.00535	−	1.52366i
$111$	14.3760	+	4.22116i	1.36451	+	0.400655i
$112$	0.923323	−	9.73374i	0.0872458	−	0.919752i
$113$	−5.31350	−	0.763967i	−0.499852	−	0.0718679i	−0.112223	−	0.993683i	$-0.535797\pi$
$113$	−5.31350	−	0.763967i	−0.499852	−	0.0718679i	−0.387630	+	0.921815i	$0.626706\pi$
$114$	−26.3795	−	3.46873i	−2.47067	−	0.324877i
$115$	−11.1519	−	10.3644i	−1.03992	−	0.966482i
$116$	0.402033	−	1.50229i	0.0373279	−	0.139484i
$117$	−12.4863	−	1.79526i	−1.15436	−	0.165972i
$118$	−13.0720	+	4.01008i	−1.20337	+	0.369158i
$119$	2.90953	−	9.90896i	0.266717	−	0.908353i
$120$	−22.4338	+	7.47836i	−2.04791	+	0.682678i
$121$	6.89515	−	2.02460i	0.626832	−	0.184054i
$122$	5.45370	−	6.44940i	0.493755	−	0.583901i
$123$	7.45283	−	16.3194i	0.672000	−	1.47147i
$124$	−3.73351	−	5.51255i	−0.335279	−	0.495041i
$125$	0.207352	−	0.133257i	0.0185461	−	0.0119189i
$126$	13.6057	−	0.164040i	1.21209	−	0.0146139i
$127$	0.578714	−	0.0832065i	0.0513525	−	0.00738338i	−0.116591	−	0.993180i	$-0.537197\pi$
$127$	0.578714	−	0.0832065i	0.0513525	−	0.00738338i	0.167943	+	0.985797i	$0.446287\pi$
$128$	−3.81567	+	10.6509i	−0.337261	+	0.941411i
$129$	16.2490	+	14.0798i	1.43065	+	1.23966i
$130$	7.63224	−	12.1968i	0.669392	−	1.06973i
$131$	−1.65064	−	1.06080i	−0.144217	−	0.0926827i	0.466543	−	0.884499i	$-0.345499\pi$
$131$	−1.65064	−	1.06080i	−0.144217	−	0.0926827i	−0.610760	+	0.791816i	$0.709136\pi$
$132$	−0.541574	−	22.4561i	−0.0471380	−	1.95455i
$133$	−13.1965	+	11.4348i	−1.14428	+	0.991523i
$134$	3.64692	+	1.61264i	0.315046	+	0.139311i
$135$	−3.25137	−	7.11951i	−0.279834	−	0.612750i
$136$	−6.09289	+	10.2800i	−0.522461	+	0.881502i
$137$			5.75004i			0.491259i	0.969364	+	0.245630i	$0.0789947\pi$
$137$			5.75004i			0.491259i	−0.969364	+	0.245630i	$0.921005\pi$
$138$	−4.64112	−	17.2489i	−0.395078	−	1.46832i
$139$	−21.3876			−1.81407			−0.907037	−	0.421051i	$-0.861661\pi$
$139$	−21.3876			−1.81407			−0.907037	+	0.421051i	$0.861661\pi$
$140$	−6.10475	+	14.2683i	−0.515946	+	1.20589i
$141$	11.8882	−	5.42915i	1.00117	−	0.457217i
$142$	11.4565	+	5.06599i	0.961409	+	0.425128i
$143$	8.95006	+	10.3289i	0.748441	+	0.863747i
$144$	−15.3031	−	3.70237i	−1.27526	−	0.308531i
$145$	−1.33454	+	2.07658i	−0.110827	+	0.172451i
$146$	0.134898	+	0.0844131i	0.0111642	+	0.00698608i
$147$	−1.76798	+	2.04035i	−0.145820	+	0.168286i
$148$	−10.8366	+	3.46783i	−0.890767	+	0.285054i
$149$	0.375519	+	2.61180i	0.0307638	+	0.213967i	0.999405	−	0.0344978i	$-0.0109832\pi$
$149$	0.375519	+	2.61180i	0.0307638	+	0.213967i	−0.968641	+	0.248464i	$0.920074\pi$
$150$	18.9106	−	0.228000i	1.54404	−	0.0186161i
$151$	−9.95793	−	15.4948i	−0.810365	−	1.26095i	−0.962145	−	0.272538i	$-0.912137\pi$
$151$	−9.95793	−	15.4948i	−0.810365	−	1.26095i	0.151780	−	0.988414i	$-0.451500\pi$
$152$	18.0636	−	9.05259i	1.46515	−	0.734262i
$153$	−15.1272	−	6.90836i	−1.22296	−	0.558508i
$154$	−11.2567	−	9.51883i	−0.907092	−	0.767049i
$155$	2.97730	+	10.1397i	0.239142	+	0.814444i
$156$	15.1818	−	7.38074i	1.21552	−	0.590932i
$157$	−18.3865	−	5.39876i	−1.46740	−	0.430868i	−0.552149	−	0.833746i	$-0.686192\pi$
$157$	−18.3865	−	5.39876i	−1.46740	−	0.430868i	−0.915254	+	0.402877i	$0.868010\pi$
$158$	6.09180	−	1.86878i	0.484637	−	0.148672i
$159$	−1.74336	+	12.1253i	−0.138257	+	0.961602i
$160$	10.9209	−	14.2555i	0.863374	−	1.12699i
$161$	−10.4874	−	5.23799i	−0.826525	−	0.412812i
$162$	−0.979973	+	7.45263i	−0.0769939	+	0.585534i
$163$	−1.55157	+	10.7914i	−0.121528	+	0.845249i	0.834297	+	0.551315i	$0.185874\pi$
$163$	−1.55157	+	10.7914i	−0.121528	+	0.845249i	−0.955826	+	0.293934i	$0.905035\pi$
$164$	2.26349	+	13.4348i	0.176749	+	1.04908i
$165$	−10.0449	+	34.2099i	−0.781997	+	2.66324i
$166$	4.92295	+	7.46093i	0.382095	+	0.579080i
$167$	−2.53479	−	8.63271i	−0.196148	−	0.668019i	−0.997554	−	0.0698986i	$-0.977732\pi$
$167$	−2.53479	−	8.63271i	−0.196148	−	0.668019i	0.801406	−	0.598121i	$-0.204086\pi$
$168$	−14.9518	+	10.3916i	−1.15356	+	0.801730i
$169$	1.13369	−	2.48243i	0.0872068	−	0.190956i
$170$	14.1841	−	12.5931i	1.08787	−	0.965850i
$171$	15.2018	+	23.6545i	1.16251	+	1.80890i
$172$	−16.2126	−	1.93332i	−1.23620	−	0.147414i
$173$	17.8248	−	2.56282i	1.35519	−	0.194847i	0.573856	−	0.818956i	$-0.305447\pi$
$173$	17.8248	−	2.56282i	1.35519	−	0.194847i	0.781338	+	0.624109i	$0.214538\pi$
$174$	−2.61971	+	1.23477i	−0.198600	+	0.0936073i
$175$	8.12786	−	9.38005i	0.614408	−	0.709065i
$176$	9.90337	+	13.8890i	0.746494	+	1.04692i
$177$	21.4211	+	13.7665i	1.61011	+	1.03475i
$178$	5.08368	−	0.793592i	0.381038	−	0.0594822i
$179$	1.14028	+	1.31595i	0.0852285	+	0.0983589i	0.796762	−	0.604293i	$-0.206544\pi$
$179$	1.14028	+	1.31595i	0.0852285	+	0.0983589i	−0.711533	+	0.702652i	$0.751999\pi$
$180$	21.3433	+	13.0003i	1.59084	+	0.968983i
$181$	−3.52414	−	7.71680i	−0.261948	−	0.573585i	0.732265	−	0.681020i	$-0.238463\pi$
$181$	−3.52414	−	7.71680i	−0.261948	−	0.573585i	−0.994212	+	0.107435i	$0.965736\pi$
$182$	2.99283	−	10.6667i	0.221843	−	0.790669i
$183$	−15.7291			−1.16273
$184$	10.2635	+	8.86905i	0.756637	+	0.653835i
$185$	18.0599			1.32779
$186$	−3.34947	+	11.9378i	−0.245595	+	0.875323i
$187$	7.48471	+	16.3892i	0.547336	+	1.19850i
$188$	−5.16288	+	8.47619i	−0.376542	+	0.618190i
$189$	−3.94657	−	4.55458i	−0.287070	−	0.331297i
$190$	−31.6870	+	4.94652i	−2.29882	+	0.358858i
$191$	1.17160	+	0.752943i	0.0847742	+	0.0544811i	0.582341	−	0.812944i	$-0.302137\pi$
$191$	1.17160	+	0.752943i	0.0847742	+	0.0544811i	−0.497567	+	0.867426i	$0.665773\pi$
$192$	19.7339	−	7.38145i	1.42417	−	0.532710i
$193$	−10.8980	+	12.5769i	−0.784452	+	0.905305i	−0.997422	−	0.0717531i	$-0.977141\pi$
$193$	−10.8980	+	12.5769i	−0.784452	+	0.905305i	0.212971	+	0.977059i	$0.431686\pi$
$194$	5.26204	−	2.48019i	0.377793	−	0.178068i
$195$	−26.5217	+	3.81324i	−1.89926	+	0.273072i
$196$	0.242763	−	2.03579i	0.0173402	−	0.145413i
$197$	9.35186	+	14.5518i	0.666292	+	1.03677i	0.995705	+	0.0925850i	$0.0295130\pi$
$197$	9.35186	+	14.5518i	0.666292	+	1.03677i	−0.329412	+	0.944186i	$0.606851\pi$
$198$	−17.7518	+	15.7607i	−1.26157	+	1.12007i
$199$	−8.45659	+	18.5173i	−0.599471	+	1.31266i	0.330075	+	0.943955i	$0.392926\pi$
$199$	−8.45659	+	18.5173i	−0.599471	+	1.31266i	−0.929547	+	0.368705i	$0.879801\pi$
$200$	−11.7932	+	8.19635i	−0.833905	+	0.579570i
$201$	−2.09213	−	7.12514i	−0.147567	−	0.502569i
$202$	13.3702	+	20.2631i	0.940725	+	1.42571i
$203$	−0.535482	+	1.82368i	−0.0375835	+	0.127998i
$204$	21.9448	−	3.69726i	1.53645	−	0.258860i
$205$	3.07758	−	21.4051i	0.214948	−	1.49499i
$206$	−0.748114	+	5.68936i	−0.0521236	+	0.396396i
$207$	−10.7523	+	15.5156i	−0.747335	+	1.07841i
$208$	−6.40273	+	11.1059i	−0.443949	+	0.770053i
$209$	4.33547	−	30.1539i	0.299891	−	2.08579i
$210$	27.6305	−	8.47619i	1.90669	−	0.584913i
$211$	0.500833	+	0.147058i	0.0344788	+	0.0101239i	0.298926	−	0.954276i	$-0.403371\pi$
$211$	0.500833	+	0.147058i	0.0344788	+	0.0101239i	−0.264448	+	0.964400i	$0.585190\pi$
$212$	−4.06737	−	8.36638i	−0.279348	−	0.574605i
$213$	−6.57226	−	22.3831i	−0.450324	−	1.53366i
$214$	−13.7982	−	11.6679i	−0.943225	−	0.797604i
$215$	23.5741	+	10.7659i	1.60774	+	0.734230i
$216$	3.12438	+	6.23441i	0.212587	+	0.424198i
$217$	4.39926	+	6.84538i	0.298641	+	0.464695i
$218$	20.4555	−	0.246627i	1.38542	−	0.0167037i
$219$	−0.0421747	−	0.293332i	−0.00284990	−	0.0198215i
$220$	−8.25227	−	25.7876i	−0.556368	−	1.73860i
$221$	−8.86697	+	10.2330i	−0.596457	+	0.688348i
$222$	17.9621	+	11.2399i	1.20554	+	0.754372i
$223$	−1.31192	+	2.04139i	−0.0878526	+	0.136701i	−0.882399	−	0.470503i	$-0.844073\pi$
$223$	−1.31192	+	2.04139i	−0.0878526	+	0.136701i	0.794546	+	0.607204i	$0.207709\pi$
$224$	4.97593	−	12.9010i	0.332468	−	0.861987i
$225$	−13.0883	−	15.1047i	−0.872553	−	1.00698i
$226$	−6.94317	−	3.07022i	−0.461853	−	0.204228i
$227$	−11.2628	+	5.14353i	−0.747535	+	0.341388i	−0.752493	−	0.658600i	$-0.771149\pi$
$227$	−11.2628	+	5.14353i	−0.747535	+	0.341388i	0.00495800	+	0.999988i	$0.498422\pi$
$228$	−34.5940	−	14.8012i	−2.29104	−	0.980234i
$229$	−20.6452			−1.36427			−0.682135	−	0.731226i	$-0.738948\pi$
$229$	−20.6452			−1.36427			−0.682135	+	0.731226i	$0.738948\pi$
$230$	−11.2252	−	18.3730i	−0.740169	−	1.21148i
$231$			27.4534i			1.80630i
$232$	1.12136	−	1.89197i	0.0736208	−	0.124214i
$233$	−11.7406	−	25.7083i	−0.769152	−	1.68421i	−0.728511	−	0.685034i	$-0.759787\pi$
$233$	−11.7406	−	25.7083i	−0.769152	−	1.68421i	−0.0406403	−	0.999174i	$-0.512940\pi$
$234$	−16.3159	−	7.21478i	−1.06660	−	0.471645i
$235$	11.9055	−	10.3162i	0.776630	−	0.672954i
$236$	−19.3312	+	0.466212i	−1.25836	+	0.0303478i
$237$	−9.98266	−	6.41547i	−0.648444	−	0.416729i
$238$	7.74736	−	12.3808i	0.502187	−	0.802528i
$239$	−3.47690	−	3.01275i	−0.224902	−	0.194879i	0.535120	−	0.844776i	$-0.320266\pi$
$239$	−3.47690	−	3.01275i	−0.224902	−	0.194879i	−0.760022	+	0.649897i	$0.774812\pi$
$240$	−33.4036	+	1.61213i	−2.15619	+	0.104062i
$241$	−2.14745	+	0.308757i	−0.138330	+	0.0198888i	−0.211132	−	0.977458i	$-0.567715\pi$
$241$	−2.14745	+	0.308757i	−0.138330	+	0.0198888i	0.0728021	+	0.997346i	$0.476806\pi$
$242$	10.1621	−	0.122523i	0.653247	−	0.00787604i
$243$	17.9985	−	11.5669i	1.15460	−	0.742018i
$244$	9.88988	−	6.69817i	0.633135	−	0.428806i
$245$	−1.35186	+	2.96015i	−0.0863669	+	0.189117i
$246$	16.3827	−	19.3738i	1.04452	−	1.23523i
$247$	21.9665	−	6.44996i	1.39770	−	0.410401i
$248$	−2.97765	−	8.93242i	−0.189081	−	0.567209i
$249$	4.68983	−	15.9721i	0.297206	−	1.01219i
$250$	0.333247	−	0.102230i	0.0210764	−	0.00646558i
$251$	2.85387	+	0.410324i	0.180134	+	0.0258994i	0.231792	−	0.972765i	$-0.425541\pi$
$251$	2.85387	+	0.410324i	0.180134	+	0.0258994i	−0.0516572	+	0.998665i	$0.516450\pi$
$252$	18.5886	+	4.97458i	1.17097	+	0.313369i
$253$	19.8122	−	5.07549i	1.24558	−	0.319094i
$254$	0.819784	+	0.107796i	0.0514378	+	0.00676375i
$255$	−34.9637	−	5.02701i	−2.18951	−	0.314804i
$256$	−9.26462	+	13.0448i	−0.579039	+	0.815300i
$257$	16.8385	+	4.94422i	1.05035	+	0.308412i	0.760961	−	0.648798i	$-0.224728\pi$
$257$	16.8385	+	4.94422i	1.05035	+	0.308412i	0.289394	+	0.957210i	$0.406546\pi$
$258$	16.7461	+	25.3794i	1.04257	+	1.58005i
$259$	13.3427	−	3.91776i	0.829073	−	0.243438i
$260$	15.0520	−	13.6918i	0.933486	−	0.849128i
$261$	2.78407	+	1.27144i	0.172330	+	0.0787003i
$262$	−1.84229	−	2.07504i	−0.113817	−	0.128196i
$263$	−11.9572	+	7.68446i	−0.737315	+	0.473844i	−0.854621	−	0.519252i	$-0.826211\pi$
$263$	−11.9572	+	7.68446i	−0.737315	+	0.473844i	0.117306	+	0.993096i	$0.462574\pi$
$264$	7.84175	−	30.7839i	0.482627	−	1.89462i
$265$	2.10139	+	14.6155i	0.129088	+	0.897824i
$266$	−22.3373	+	10.5284i	−1.36959	+	0.645537i
$267$	−7.24151	−	6.27480i	−0.443173	−	0.384012i
$268$	4.34967	+	3.58910i	0.265698	+	0.219239i
$269$	−10.6192	+	16.5237i	−0.647462	+	1.00747i	0.350033	+	0.936737i	$0.386170\pi$
$269$	−10.6192	+	16.5237i	−0.647462	+	1.00747i	−0.997495	+	0.0707330i	$0.977466\pi$
$270$	−1.70722	−	10.9363i	−0.103898	−	0.665564i
$271$	12.9699	−	11.2385i	0.787864	−	0.682688i	−0.164930	−	0.986305i	$-0.552740\pi$
$271$	12.9699	−	11.2385i	0.787864	−	0.682688i	0.952794	+	0.303618i	$0.0981945\pi$
$272$	−12.2237	+	11.6698i	−0.741168	+	0.707587i
$273$	−18.7670	+	8.57061i	−1.13583	+	0.518717i
$274$	−2.19676	+	7.82945i	−0.132711	+	0.472994i
$275$			21.6538i			1.30577i
$276$	0.270292	−	25.2597i	0.0162697	−	1.52046i
$277$		−	16.1277i		−	0.969021i	−0.874786	−	0.484510i	$-0.838998\pi$
$277$		−	16.1277i		−	0.969021i	0.874786	−	0.484510i	$-0.161002\pi$
$278$	−29.1221	−	8.17097i	−1.74663	−	0.490062i
$279$	11.9191	−	5.44327i	0.713577	−	0.325880i
$280$	−13.7635	+	17.0959i	−0.822527	+	1.02167i
$281$	0.847160	−	0.734068i	0.0505373	−	0.0437908i	−0.629226	−	0.777222i	$-0.716628\pi$
$281$	0.847160	−	0.734068i	0.0505373	−	0.0437908i	0.679763	+	0.733432i	$0.262083\pi$
$282$	18.2615	−	2.85073i	1.08746	−	0.169758i
$283$	2.86091	−	4.45166i	0.170063	−	0.264624i	−0.745752	−	0.666224i	$-0.767909\pi$
$283$	2.86091	−	4.45166i	0.170063	−	0.264624i	0.915815	+	0.401600i	$0.131546\pi$
$284$	13.6641	+	11.2749i	0.810817	+	0.669041i
$285$	45.1368	+	39.1113i	2.67368	+	2.31675i
$286$	8.24061	+	17.4835i	0.487277	+	1.03382i
$287$	−2.36971	−	16.4817i	−0.139880	−	0.972884i
$288$	−19.4227	−	10.8877i	−1.14450	−	0.641564i
$289$	−0.715211	+	0.459638i	−0.0420712	+	0.0270375i
$290$	−2.61049	+	2.31769i	−0.153293	+	0.136100i
$291$	−9.85436	−	4.50033i	−0.577673	−	0.263814i
$292$	0.151432	+	0.166476i	0.00886189	+	0.00974229i
$293$	−24.2304	+	7.11468i	−1.41555	+	0.415644i	−0.897996	−	0.440005i	$-0.854977\pi$
$293$	−24.2304	+	7.11468i	−1.41555	+	0.415644i	−0.517557	+	0.855648i	$0.673159\pi$
$294$	−3.18684	+	2.10277i	−0.185860	+	0.122636i
$295$	29.4495	+	8.64714i	1.71461	+	0.503456i
$296$	−16.0804	+	0.581858i	−0.934654	+	0.0338198i
$297$	10.4072	+	1.49633i	0.603887	+	0.0868258i
$298$	−0.486496	+	3.69977i	−0.0281820	+	0.214322i
$299$	9.65471	+	11.9590i	0.558346	+	0.691609i
$300$	25.8364	+	6.91418i	1.49166	+	0.399191i
$301$	19.7520	+	2.83991i	1.13849	+	0.163690i
$302$	−7.63937	−	24.9026i	−0.439596	−	1.43299i
$303$	12.7371	−	43.3786i	0.731727	−	2.49203i
$304$	28.0545	−	5.42524i	1.60903	−	0.311159i
$305$	−18.1914	+	5.34147i	−1.04164	+	0.305852i
$306$	−17.9584	−	15.1859i	−1.02661	−	0.868119i
$307$	10.1709	−	22.2711i	0.580482	−	1.27108i	−0.360544	−	0.932742i	$-0.617409\pi$
$307$	10.1709	−	22.2711i	0.580482	−	1.27108i	0.941026	−	0.338335i	$-0.109864\pi$
$308$	−11.6909	−	17.2617i	−0.666152	−	0.983576i
$309$	8.98995	−	5.77749i	0.511420	−	0.328670i
$310$	0.180177	+	14.9441i	0.0102334	+	0.848765i
$311$	−2.57754	+	0.370594i	−0.146159	+	0.0210144i	−0.215006	−	0.976613i	$-0.568977\pi$
$311$	−2.57754	+	0.370594i	−0.146159	+	0.0210144i	0.0688471	+	0.997627i	$0.478068\pi$
$312$	23.4918	−	4.24976i	1.32996	−	0.240595i
$313$	5.87981	+	5.09488i	0.332346	+	0.287980i	0.805008	−	0.593264i	$-0.202161\pi$
$313$	5.87981	+	5.09488i	0.332346	+	0.287980i	−0.472661	+	0.881244i	$0.656707\pi$
$314$	−22.9731	−	14.3756i	−1.29645	−	0.811259i
$315$	−25.6947	−	16.5130i	−1.44773	−	0.930400i
$316$	9.00874	−	0.217264i	0.506781	−	0.0122221i
$317$	25.0082	−	21.6698i	1.40460	−	1.21710i	0.460408	−	0.887707i	$-0.347703\pi$
$317$	25.0082	−	21.6698i	1.40460	−	1.21710i	0.944195	−	0.329388i	$-0.106842\pi$
$318$	−7.00621	+	15.8442i	−0.392888	+	0.888500i
$319$	−1.37751	−	3.01634i	−0.0771260	−	0.168882i
$320$	20.3165	−	15.2384i	1.13573	−	0.851855i
$321$			33.6517i			1.87825i
$322$	−12.2789	−	11.1389i	−0.684275	−	0.620744i
$323$	30.1812			1.67932
$324$	−4.18158	+	9.77335i	−0.232310	+	0.542964i
$325$	−14.8024	+	6.76005i	−0.821091	+	0.374980i
$326$	−6.23545	+	14.1012i	−0.345349	+	0.780992i
$327$	−24.9479	−	28.7915i	−1.37962	−	1.59217i
$328$	−2.05062	+	19.1581i	−0.113227	+	1.05783i
$329$	6.55790	−	10.2043i	0.361549	−	0.562581i
$330$	−26.7471	+	42.7438i	−1.47238	+	2.35297i
$331$	3.32703	−	3.83960i	0.182870	−	0.211043i	−0.656911	−	0.753968i	$-0.728137\pi$
$331$	3.32703	−	3.83960i	0.182870	−	0.211043i	0.839782	+	0.542924i	$0.182683\pi$
$332$	3.85286	+	12.0398i	0.211453	+	0.660771i
$333$	−3.18682	−	22.1648i	−0.174637	−	1.21463i
$334$	−0.153398	−	12.7230i	−0.00839356	−	0.696171i
$335$	−4.83928	−	7.53006i	−0.264398	−	0.411411i
$336$	−24.3289	+	8.43734i	−1.32725	+	0.460295i
$337$	0.272358	+	0.124382i	0.0148363	+	0.00677551i	0.422819	−	0.906214i	$-0.361040\pi$
$337$	0.272358	+	0.124382i	0.0148363	+	0.00677551i	−0.407983	+	0.912989i	$0.633768\pi$
$338$	2.49206	−	2.94704i	0.135550	−	0.160298i
$339$	3.98309	+	13.5652i	0.216332	+	0.736759i
$340$	24.1246	−	11.7283i	1.30834	−	0.636058i
$341$	−13.6213	−	3.99958i	−0.737635	−	0.216589i
$342$	11.6623	+	38.0164i	0.630624	+	2.05569i
$343$	−2.79168	+	19.4166i	−0.150737	+	1.04840i
$344$	−21.3370	−	8.82638i	−1.15042	−	0.475887i
$345$	−12.6286	+	38.0555i	−0.679900	+	2.04884i
$346$	25.2499	+	3.32020i	1.35744	+	0.178495i
$347$	3.32813	−	23.1477i	0.178663	−	1.24263i	−0.681196	−	0.732101i	$-0.738540\pi$
$347$	3.32813	−	23.1477i	0.178663	−	1.24263i	0.859860	−	0.510530i	$-0.170551\pi$
$348$	−4.03881	+	0.680458i	−0.216503	+	0.0364764i
$349$	−4.39767	+	14.9771i	−0.235402	+	0.801705i	0.754047	+	0.656821i	$0.228099\pi$
$349$	−4.39767	+	14.9771i	−0.235402	+	0.801705i	−0.989449	+	0.144884i	$0.953719\pi$
$350$	14.6507	−	9.66700i	0.783115	−	0.516723i
$351$	2.22611	+	7.58145i	0.118821	+	0.404668i
$352$	8.17858	+	22.6952i	0.435920	+	1.20966i
$353$	6.41665	−	14.0505i	0.341524	−	0.747833i	−0.658465	−	0.752612i	$-0.728794\pi$
$353$	6.41665	−	14.0505i	0.341524	−	0.747833i	0.999989	+	0.00477864i	$0.00152109\pi$
$354$	23.9083	+	26.9287i	1.27071	+	1.43124i
$355$	−15.2022	−	23.6551i	−0.806849	−	1.25548i
$356$	7.22530	+	0.861601i	0.382940	+	0.0456647i
$357$	−26.9217	+	3.87076i	−1.42485	+	0.204862i
$358$	1.04989	+	2.22748i	0.0554886	+	0.117726i
$359$	8.60921	−	9.93556i	0.454377	−	0.524379i	−0.481624	−	0.876378i	$-0.659953\pi$
$359$	8.60921	−	9.93556i	0.454377	−	0.524379i	0.936000	+	0.352000i	$0.114498\pi$
$360$	24.0951	+	25.8556i	1.26992	+	1.36271i
$361$	−26.9457	−	17.3170i	−1.41820	−	0.911419i
$362$	−1.85045	−	11.8538i	−0.0972574	−	0.623023i
$363$	−12.3940	−	14.3034i	−0.650514	−	0.750734i
$364$	8.15026	−	13.3808i	0.427190	−	0.701342i
$365$	−0.148390	−	0.324929i	−0.00776708	−	0.0170075i
$366$	−21.4172	−	6.00917i	−1.11950	−	0.314105i
$367$	−27.9079			−1.45678			−0.728391	−	0.685162i	$-0.759731\pi$
$367$	−27.9079			−1.45678			−0.728391	+	0.685162i	$0.759731\pi$
$368$	10.5868	+	15.9975i	0.551875	+	0.833927i
$369$	−26.8134			−1.39585
$370$	24.5910	+	6.89964i	1.27842	+	0.358695i
$371$	4.72308	+	10.3421i	0.245210	+	0.536935i
$372$	−9.12150	+	14.9753i	−0.472928	+	0.776432i
$373$	2.42064	+	2.79356i	0.125336	+	0.144645i	0.814949	−	0.579533i	$-0.196765\pi$
$373$	2.42064	+	2.79356i	0.125336	+	0.144645i	−0.689613	+	0.724178i	$0.742219\pi$
$374$	3.93005	+	25.1756i	0.203218	+	1.30180i
$375$	−0.546094	−	0.350953i	−0.0282002	−	0.0181231i
$376$	−10.2682	+	9.56902i	−0.529542	+	0.493485i
$377$	1.63191	−	1.88333i	0.0840478	−	0.0969963i
$378$	−3.63373	−	7.70942i	−0.186899	−	0.396530i
$379$	−3.69723	+	0.531581i	−0.189914	+	0.0273055i	−0.236615	−	0.971603i	$-0.576038\pi$
$379$	−3.69723	+	0.531581i	−0.189914	+	0.0273055i	0.0467015	+	0.998909i	$0.485129\pi$
$380$	−45.0358	−	5.37042i	−2.31029	−	0.275497i
$381$	−0.832482	−	1.29537i	−0.0426494	−	0.0663637i
$382$	1.30764	+	1.47283i	0.0669045	+	0.0753567i
$383$	4.78867	−	10.4857i	0.244690	−	0.535795i	−0.746943	−	0.664888i	$-0.768479\pi$
$383$	4.78867	−	10.4857i	0.244690	−	0.535795i	0.991633	+	0.129093i	$0.0412065\pi$
$384$	29.6904	−	2.51163i	1.51513	−	0.128171i
$385$	9.32295	+	31.7510i	0.475141	+	1.61818i
$386$	−19.6439	+	12.9617i	−0.999849	+	0.659731i
$387$	9.05312	−	30.8321i	0.460196	−	1.56728i
$388$	8.11251	−	1.36679i	0.411850	−	0.0693884i
$389$	3.90016	−	27.1262i	0.197746	−	1.37535i	−0.613060	−	0.790037i	$-0.710061\pi$
$389$	3.90016	−	27.1262i	0.197746	−	1.37535i	0.810805	−	0.585316i	$-0.199029\pi$
$390$	−37.5696	−	4.94016i	−1.90241	−	0.250155i
$391$	7.77059	+	18.7129i	0.392976	+	0.946351i
$392$	1.10831	−	2.67925i	0.0559781	−	0.135323i
$393$	−0.735419	+	5.11495i	−0.0370970	+	0.258015i
$394$	7.17441	+	23.3870i	0.361441	+	1.17822i
$395$	−13.7240	−	4.02974i	−0.690531	−	0.202758i
$396$	−30.1928	+	14.6784i	−1.51724	+	0.737617i
$397$	−1.07776	−	3.67050i	−0.0540910	−	0.184217i	0.928016	−	0.372540i	$-0.121513\pi$
$397$	−1.07776	−	3.67050i	−0.0540910	−	0.184217i	−0.982107	+	0.188323i	$0.939695\pi$
$398$	−18.5892	+	21.9830i	−0.931791	+	1.10191i
$399$	41.8316	+	19.1039i	2.09420	+	0.956389i
$400$	−19.1894	+	6.65493i	−0.959468	+	0.332746i
$401$	−5.35720	−	8.33596i	−0.267526	−	0.416278i	0.681336	−	0.731971i	$-0.261399\pi$
$401$	−5.35720	−	8.33596i	−0.267526	−	0.416278i	−0.948861	+	0.315693i	$0.897763\pi$
$402$	−0.126609	−	10.5011i	−0.00631470	−	0.523748i
$403$	−1.51831	−	10.5601i	−0.0756325	−	0.526036i
$404$	10.4640	+	32.6989i	0.520602	+	1.62683i
$405$	11.0496	−	12.7519i	0.549058	−	0.633646i
$406$	−1.42585	+	2.27861i	−0.0707639	+	0.113086i
$407$	−13.1164	+	20.4096i	−0.650158	+	1.01167i
$408$	31.2933	+	3.34955i	1.54925	+	0.165827i
$409$	5.06326	+	5.84331i	0.250362	+	0.288933i	0.866994	−	0.498318i	$-0.166049\pi$
$409$	5.06326	+	5.84331i	0.250362	+	0.288933i	−0.616632	+	0.787251i	$0.711503\pi$
$410$	12.3682	−	27.9701i	0.610820	−	1.38134i
$411$	13.7751	−	6.29090i	0.679478	−	0.310307i
$412$	−3.19223	+	7.46101i	−0.157270	+	0.367577i
$413$	23.6331			1.16291
$414$	−20.5683	+	17.0187i	−1.01088	+	0.836425i
$415$		−	20.0650i		−	0.984954i
$416$	−12.9611	+	12.6760i	−0.635469	+	0.621492i
$417$	23.3994	+	51.2374i	1.14587	+	2.50911i
$418$	17.4234	−	39.4022i	0.852205	−	1.92722i
$419$	−20.9315	+	18.1372i	−1.02257	+	0.886061i	−0.993536	−	0.113517i	$-0.963788\pi$
$419$	−20.9315	+	18.1372i	−1.02257	+	0.886061i	−0.0290332	+	0.999578i	$0.509243\pi$
$420$	40.8609	−	0.985442i	1.99381	−	0.0480847i
$421$	33.5839	+	21.5831i	1.63678	+	1.05189i	0.943577	+	0.331153i	$0.107438\pi$
$421$	33.5839	+	21.5831i	1.63678	+	1.05189i	0.693203	+	0.720742i	$0.256199\pi$
$422$	0.625768	+	0.391578i	0.0304619	+	0.0190617i
$423$	−14.7618	−	12.7912i	−0.717745	−	0.621929i
$424$	−2.34195	−	12.9458i	−0.113735	−	0.628705i
$425$	−21.2344	+	3.05305i	−1.03002	+	0.148095i
$426$	−0.397733	−	32.9884i	−0.0192702	−	1.59829i
$427$	−12.2811	+	7.89257i	−0.594323	+	0.381948i
$428$	−14.3304	−	21.1589i	−0.692687	−	1.02276i
$429$	14.9527	−	32.7417i	0.721921	−	1.58079i
$430$	27.9862	+	23.6655i	1.34962	+	1.14125i
$431$	9.47536	−	2.78222i	0.456412	−	0.134015i	−0.0454420	−	0.998967i	$-0.514470\pi$
$431$	9.47536	−	2.78222i	0.456412	−	0.134015i	0.501854	+	0.864952i	$0.332651\pi$
$432$	1.87245	+	9.68262i	0.0900881	+	0.465855i
$433$	−6.80649	+	23.1808i	−0.327099	+	1.11400i	0.617718	+	0.786400i	$0.288057\pi$
$433$	−6.80649	+	23.1808i	−0.327099	+	1.11400i	−0.944817	+	0.327598i	$0.893761\pi$
$434$	3.37495	+	11.0016i	0.162003	+	0.528094i
$435$	6.43485	+	0.925191i	0.308527	+	0.0443595i
$436$	27.9471	+	7.47905i	1.33842	+	0.358181i
$437$	6.05293	−	33.7203i	0.289551	−	1.61306i
$438$	0.0546385	−	0.415522i	0.00261073	−	0.0198544i
$439$	−1.20898	−	0.173825i	−0.0577016	−	0.00829624i	0.113404	−	0.993549i	$-0.463825\pi$
$439$	−1.20898	−	0.173825i	−0.0577016	−	0.00829624i	−0.171105	+	0.985253i	$0.554734\pi$
$440$	−1.38462	−	38.2659i	−0.0660094	−	1.82425i
$441$	3.87152	+	1.13678i	0.184358	+	0.0541325i
$442$	−15.9830	+	10.5461i	−0.760234	+	0.501626i
$443$	19.4018	−	5.69688i	0.921807	−	0.270667i	0.213804	−	0.976877i	$-0.431415\pi$
$443$	19.4018	−	5.69688i	0.921807	−	0.270667i	0.708003	+	0.706210i	$0.249596\pi$
$444$	20.1637	+	22.1669i	0.956927	+	1.05199i
$445$	−10.5060	−	4.79793i	−0.498032	−	0.227443i
$446$	−2.56625	+	2.27841i	−0.121515	+	0.107886i
$447$	5.84613	−	3.75708i	0.276512	−	0.177704i
$448$	11.7041	−	15.6655i	0.552968	−	0.740124i
$449$	−3.69873	−	25.7252i	−0.174554	−	1.21405i	−0.869113	−	0.494614i	$-0.835310\pi$
$449$	−3.69873	−	25.7252i	−0.174554	−	1.21405i	0.694559	−	0.719436i	$-0.255599\pi$
$450$	−12.0508	−	25.5673i	−0.568081	−	1.20525i
$451$	21.9548	+	19.0239i	1.03381	+	0.895802i
$452$	−8.28110	−	6.83310i	−0.389510	−	0.321402i
$453$	−26.2258	+	40.8081i	−1.23219	+	1.91733i
$454$	−17.3008	+	2.70075i	−0.811966	+	0.126752i
$455$	−18.7944	+	16.2854i	−0.881094	+	0.763472i
$456$	−41.4496	−	33.3702i	−1.94106	−	1.56270i
$457$	−9.75984	+	4.45717i	−0.456546	+	0.208498i	−0.630395	−	0.776275i	$-0.717107\pi$
$457$	−9.75984	+	4.45717i	−0.456546	+	0.208498i	0.173849	+	0.984772i	$0.444380\pi$
$458$	−28.1111	−	7.88732i	−1.31355	−	0.368550i
$459$			10.4166i			0.486206i
$460$	−8.26539	−	29.3057i	−0.385376	−	1.36639i
$461$			30.0068i			1.39756i	0.715339	+	0.698778i	$0.246272\pi$
$461$			30.0068i			1.39756i	−0.715339	+	0.698778i	$0.753728\pi$
$462$	−10.4883	+	37.3814i	−0.487962	+	1.73914i
$463$	−7.46336	+	3.40840i	−0.346852	+	0.158402i	−0.581221	−	0.813746i	$-0.697425\pi$
$463$	−7.46336	+	3.40840i	−0.346852	+	0.158402i	0.234369	+	0.972148i	$0.424698\pi$
$464$	2.24969	−	2.14776i	0.104439	−	0.0997073i
$465$	21.0340	−	18.2261i	0.975429	−	0.845214i
$466$	−6.16472	−	39.4907i	−0.285575	−	1.82937i
$467$	15.9893	−	24.8799i	0.739897	−	1.15130i	−0.243511	−	0.969898i	$-0.578299\pi$
$467$	15.9893	−	24.8799i	0.739897	−	1.15130i	0.983409	−	0.181404i	$-0.0580643\pi$
$468$	−19.4599	−	16.0572i	−0.899535	−	0.742246i
$469$	−5.20877	−	4.51343i	−0.240519	−	0.208411i
$470$	20.1521	−	9.49845i	0.929549	−	0.438131i
$471$	7.18235	+	49.9544i	0.330945	+	2.30178i
$472$	−26.5002	−	6.75054i	−1.21977	−	0.310719i
$473$	−29.2879	+	18.8222i	−1.34666	+	0.865445i
$474$	−11.1417	−	12.5493i	−0.511757	−	0.576409i
$475$	32.9946	+	15.0681i	1.51389	+	0.691373i
$476$	15.2790	−	13.8983i	0.700314	−	0.637027i
$477$	17.5667	−	5.15806i	0.804326	−	0.236171i
$478$	−3.58327	−	5.43059i	−0.163895	−	0.248389i
$479$	−12.1971	−	3.58140i	−0.557301	−	0.163638i	−0.00906046	−	0.999959i	$-0.502884\pi$
$479$	−12.1971	−	3.58140i	−0.557301	−	0.163638i	−0.548241	+	0.836321i	$0.684702\pi$
$480$	−46.0994	−	10.5665i	−2.10414	−	0.482291i
$481$	−18.0467	−	2.59473i	−0.822859	−	0.118309i
$482$	−3.04200	−	0.400004i	−0.138559	−	0.0182197i
$483$	−1.07457	+	30.8550i	−0.0488947	+	1.40395i
$484$	13.8839	+	3.71554i	0.631087	+	0.168888i
$485$	−12.9253	−	1.85837i	−0.586906	−	0.0843844i
$486$	28.9264	−	8.87372i	1.31213	−	0.402520i
$487$	−4.07713	+	13.8854i	−0.184752	+	0.629209i	0.814073	+	0.580762i	$0.197245\pi$
$487$	−4.07713	+	13.8854i	−0.184752	+	0.629209i	−0.998826	+	0.0484469i	$0.984573\pi$
$488$	16.0254	−	5.34210i	0.725434	−	0.241825i
$489$	27.5501	−	8.08943i	1.24586	−	0.365817i
$490$	−2.97163	+	3.51417i	−0.134245	+	0.158754i
$491$	−14.8755	+	32.5729i	−0.671323	+	1.46999i	0.200259	+	0.979743i	$0.435822\pi$
$491$	−14.8755	+	32.5729i	−0.671323	+	1.46999i	−0.871582	+	0.490250i	$0.836906\pi$
$492$	29.7089	−	20.1211i	1.33938	−	0.907128i
$493$	2.76370	−	1.77612i	0.124471	−	0.0799925i
$494$	32.3745	−	0.390332i	1.45660	−	0.0175619i
$495$	52.7448	−	7.58356i	2.37070	−	0.340856i
$496$	−0.641899	−	13.3003i	−0.0288221	−	0.597200i
$497$	−16.3629	−	14.1786i	−0.733978	−	0.635996i
$498$	12.4878	−	19.9564i	0.559593	−	0.894268i
$499$	−6.90572	−	4.43804i	−0.309143	−	0.198674i	0.376865	−	0.926268i	$-0.377002\pi$
$499$	−6.90572	−	4.43804i	−0.309143	−	0.198674i	−0.686008	+	0.727594i	$0.740638\pi$
$500$	0.492816	−	0.0118852i	0.0220394	−	0.000531524i
$501$	−17.9078	+	15.5172i	−0.800062	+	0.693258i
$502$	3.72916	+	1.64901i	0.166440	+	0.0735988i
$503$	−2.41967	−	5.29834i	−0.107888	−	0.236241i	0.847986	−	0.530018i	$-0.177815\pi$
$503$	−2.41967	−	5.29834i	−0.107888	−	0.236241i	−0.955874	+	0.293777i	$0.905088\pi$
$504$	23.4104	+	13.8752i	1.04278	+	0.618050i
$505$		−	54.4946i		−	2.42498i
$506$	28.9160	+	0.658134i	1.28547	+	0.0292576i
$507$	−7.18738			−0.319203
$508$	1.07506	+	0.459971i	0.0476982	+	0.0204079i
$509$	−21.6669	+	9.89495i	−0.960370	+	0.438586i	−0.833002	−	0.553270i	$-0.813380\pi$
$509$	−21.6669	+	9.89495i	−0.960370	+	0.438586i	−0.127367	+	0.991856i	$0.540653\pi$
$510$	−45.6871	−	20.2025i	−2.02306	−	0.894583i
$511$	−0.180118	−	0.207867i	−0.00796795	−	0.00919550i
$512$	−17.5987	+	14.2228i	−0.777759	+	0.628563i
$513$	9.52201	−	14.8165i	0.420407	−	0.654166i
$514$	21.0389	+	13.1652i	0.927987	+	0.580693i
$515$	8.43528	−	9.73483i	0.371703	−	0.428968i
$516$	13.1060	+	40.9551i	0.576961	+	1.80295i
$517$	3.01170	+	20.9469i	0.132455	+	0.921242i
$518$	19.6646	−	0.237091i	0.864011	−	0.0104172i
$519$	−25.6410	−	39.8982i	−1.12552	−	1.75134i
$520$	25.7262	−	12.8927i	1.12817	−	0.565381i
$521$	20.8092	+	9.50326i	0.911669	+	0.416345i	0.815325	−	0.579003i	$-0.196558\pi$
$521$	20.8092	+	9.50326i	0.911669	+	0.416345i	0.0963435	+	0.995348i	$0.469285\pi$
$522$	3.30514	+	2.79487i	0.144662	+	0.122328i
$523$	6.82892	+	23.2572i	0.298608	+	1.01696i	0.962982	+	0.269565i	$0.0868797\pi$
$523$	6.82892	+	23.2572i	0.298608	+	1.01696i	−0.664375	+	0.747400i	$0.731302\pi$
$524$	−1.71578	−	3.52927i	−0.0749541	−	0.154177i
$525$	−31.3638	−	9.20924i	−1.36883	−	0.401924i
$526$	−19.2172	+	5.89524i	−0.837908	+	0.257044i
$527$	2.00160	−	13.9214i	0.0871910	−	0.606427i
$528$	22.4383	−	38.9205i	0.976503	−	1.69380i
$529$	22.4657	−	4.92888i	0.976768	−	0.214299i
$530$	−2.72241	+	20.7038i	−0.118254	+	0.899315i
$531$	5.41599	−	37.6690i	0.235034	−	1.63470i
$532$	−34.4375	+	5.80202i	−1.49306	+	0.251549i
$533$	−6.15067	+	20.9473i	−0.266415	+	0.907326i
$534$	−7.46304	−	11.3105i	−0.322957	−	0.489455i
$535$	11.4278	+	38.9196i	0.494068	+	1.68264i
$536$	4.55146	+	6.54880i	0.196593	+	0.282865i
$537$	1.90504	−	4.17145i	0.0822085	−	0.180012i
$538$	−20.7722	+	18.4423i	−0.895552	+	0.795104i
$539$	−2.36346	−	3.67762i	−0.101802	−	0.158406i
$540$	1.85353	−	15.5435i	0.0797631	−	0.668885i
$541$	−16.3168	+	2.34601i	−0.701515	+	0.100863i	−0.483837	−	0.875158i	$-0.660757\pi$
$541$	−16.3168	+	2.34601i	−0.701515	+	0.100863i	−0.217678	+	0.976021i	$0.569848\pi$
$542$	21.9538	−	10.3476i	0.942995	−	0.444468i
$543$	−14.6312	+	16.8853i	−0.627884	+	0.724617i
$544$	−21.1025	+	11.2201i	−0.904762	+	0.481056i
$545$	−38.6307	−	24.8265i	−1.65476	−	1.06345i
$546$	−28.8281	+	4.50023i	−1.23373	+	0.192592i
$547$	−8.89853	−	10.2694i	−0.380474	−	0.439090i	0.532921	−	0.846165i	$-0.321094\pi$
$547$	−8.89853	−	10.2694i	−0.380474	−	0.439090i	−0.913395	+	0.407075i	$0.866549\pi$
$548$	−5.98236	+	9.82158i	−0.255554	+	0.419557i
$549$	9.76558	+	21.3836i	0.416785	+	0.912632i
$550$	−8.27265	+	29.4845i	−0.352747	+	1.25722i
$551$	−5.55466			−0.236636
$552$	10.0183	−	34.2912i	0.426408	−	1.45953i
$553$	−11.0135			−0.468342
$554$	6.16147	−	21.9600i	0.261776	−	0.932992i
$555$	−19.7586	−	43.2654i	−0.838707	−	1.83651i
$556$	−36.5319	−	22.2517i	−1.54930	−	0.943683i
$557$	0.569808	+	0.657594i	0.0241436	+	0.0278631i	0.767693	−	0.640818i	$-0.221405\pi$
$557$	0.569808	+	0.657594i	0.0241436	+	0.0278631i	−0.743549	+	0.668681i	$0.766859\pi$
$558$	18.3090	−	2.85814i	0.775081	−	0.120995i
$559$	−22.0101	−	14.1450i	−0.930928	−	0.598271i
$560$	−25.2722	+	18.0201i	−1.06794	+	0.761486i
$561$	31.0743	−	35.8616i	1.31196	−	1.51408i
$562$	1.43397	−	0.675880i	0.0604882	−	0.0285103i
$563$	5.56063	−	0.799498i	0.234353	−	0.0336948i	−0.0241378	−	0.999709i	$-0.507684\pi$
$563$	5.56063	−	0.799498i	0.234353	−	0.0336948i	0.258490	+	0.966014i	$0.416775\pi$
$564$	25.9546	+	3.09502i	1.09288	+	0.130324i
$565$	9.21324	+	14.3361i	0.387604	+	0.603124i
$566$	5.59623	−	4.96854i	0.235227	−	0.208843i
$567$	5.39715	−	11.8181i	0.226659	−	0.496314i
$568$	14.2981	+	20.5725i	0.599933	+	0.863204i
$569$	0.836228	+	2.84793i	0.0350565	+	0.119391i	0.975162	−	0.221491i	$-0.0710923\pi$
$569$	0.836228	+	2.84793i	0.0350565	+	0.119391i	−0.940106	+	0.340883i	$0.889274\pi$
$570$	46.5177	+	70.4994i	1.94841	+	2.95290i
$571$	−4.09416	+	13.9434i	−0.171335	+	0.583514i	0.828392	+	0.560149i	$0.189256\pi$
$571$	−4.09416	+	13.9434i	−0.171335	+	0.583514i	−0.999727	+	0.0233652i	$0.992562\pi$
$572$	4.54126	+	26.9544i	0.189879	+	1.12702i
$573$	0.521991	−	3.63053i	0.0218065	−	0.151667i
$574$	3.07003	−	23.3474i	0.128140	−	0.974500i
$575$	−0.847565	+	24.3368i	−0.0353459	+	1.01491i
$576$	−22.2871	−	22.2454i	−0.928629	−	0.926890i
$577$	4.82073	−	33.5289i	0.200690	−	1.39583i	−0.601555	−	0.798831i	$-0.705452\pi$
$577$	4.82073	−	33.5289i	0.200690	−	1.39583i	0.802245	−	0.596995i	$-0.203639\pi$
$578$	−1.14946	+	0.352618i	−0.0478110	+	0.0146670i
$579$	42.0530	+	12.3479i	1.74766	+	0.513160i
$580$	−4.43999	+	2.15853i	−0.184360	+	0.0896280i
$581$	−4.35274	−	14.8241i	−0.180582	−	0.615006i
$582$	−11.6987	−	9.89258i	−0.484927	−	0.410061i
$583$	−18.0433	−	8.24008i	−0.747275	−	0.341269i
$584$	0.142594	+	0.284533i	0.00590058	+	0.0117741i
$585$	21.6504	+	33.6886i	0.895133	+	1.39285i
$586$	−35.7110	+	0.430558i	−1.47521	+	0.0177862i
$587$	5.94507	+	41.3489i	0.245379	+	1.70665i	0.624269	+	0.781209i	$0.285397\pi$
$587$	5.94507	+	41.3489i	0.245379	+	1.70665i	−0.378890	+	0.925442i	$0.623694\pi$
$588$	−5.14265	+	1.64570i	−0.212079	+	0.0678674i
$589$	−15.5729	+	17.9721i	−0.641670	+	0.740526i
$590$	36.7958	+	23.0252i	1.51486	+	0.947931i
$591$	24.6296	−	38.3244i	1.01313	−	1.57645i
$592$	−22.1179	−	5.35111i	−0.909040	−	0.219929i
$593$	−3.13352	−	3.61628i	−0.128678	−	0.148503i	0.687754	−	0.725944i	$-0.258597\pi$
$593$	−3.13352	−	3.61628i	−0.128678	−	0.148503i	−0.816432	+	0.577441i	$0.804051\pi$
$594$	13.5991	+	6.01343i	0.557978	+	0.246734i
$595$	−29.8216	+	13.6191i	−1.22257	+	0.558328i
$596$	−2.07590	+	4.85187i	−0.0850321	+	0.198740i
$597$	53.6132			2.19424
$598$	8.57732	+	19.9723i	0.350753	+	0.816729i
$599$			1.76290i			0.0720300i	0.999351	+	0.0360150i	$0.0114664\pi$
$599$			1.76290i			0.0720300i	−0.999351	+	0.0360150i	$0.988534\pi$
$600$	32.5381	+	19.2852i	1.32836	+	0.787313i
$601$	−2.81915	−	6.17307i	−0.114995	−	0.251805i	0.843379	−	0.537319i	$-0.180563\pi$
$601$	−2.81915	−	6.17307i	−0.114995	−	0.251805i	−0.958374	+	0.285514i	$0.907836\pi$
$602$	25.8100	+	11.4130i	1.05194	+	0.465160i
$603$	−8.38768	+	7.26797i	−0.341573	+	0.295975i
$604$	−0.888153	−	36.8268i	−0.0361384	−	1.49846i
$605$	−19.1915	−	12.3336i	−0.780244	−	0.501433i
$606$	33.9157	−	54.1996i	1.37773	−	2.20171i
$607$	−33.7614	−	29.2544i	−1.37033	−	1.18740i	−0.961505	−	0.274787i	$-0.911393\pi$
$607$	−33.7614	−	29.2544i	−1.37033	−	1.18740i	−0.408826	−	0.912612i	$-0.634062\pi$
$608$	40.2726	+	3.33081i	1.63327	+	0.135082i
$609$	4.95477	−	0.712389i	0.200778	−	0.0288675i
$610$	−26.8106	+	0.323249i	−1.08553	+	0.0130880i
$611$	−13.3790	+	8.59815i	−0.541255	+	0.347844i
$612$	−18.6511	−	27.5385i	−0.753927	−	1.11318i
$613$	−15.2184	+	33.3236i	−0.614664	+	1.34593i	0.304673	+	0.952457i	$0.401453\pi$
$613$	−15.2184	+	33.3236i	−0.614664	+	1.34593i	−0.919337	+	0.393470i	$0.871274\pi$
$614$	22.3575	−	26.4393i	0.902274	−	1.06700i
$615$	−54.6463	+	16.0456i	−2.20355	+	0.647021i
$616$	−9.32404	−	27.9705i	−0.375676	−	1.12696i
$617$	−11.3190	+	38.5490i	−0.455686	+	1.55192i	0.336524	+	0.941675i	$0.390749\pi$
$617$	−11.3190	+	38.5490i	−0.455686	+	1.55192i	−0.792210	+	0.610249i	$0.791070\pi$
$618$	14.4482	−	4.43228i	0.581194	−	0.178292i
$619$	41.1519	+	5.91675i	1.65403	+	0.237814i	0.905213	−	0.424958i	$-0.139711\pi$
$619$	41.1519	+	5.91675i	1.65403	+	0.237814i	0.748821	+	0.662772i	$0.230620\pi$
$620$	−5.46392	+	20.4172i	−0.219436	+	0.819973i
$621$	11.6381	+	2.08908i	0.467021	+	0.0838321i
$622$	−3.65124	−	0.480115i	−0.146401	−	0.0192508i
$623$	−8.80266	−	1.26563i	−0.352671	−	0.0507064i
$624$	33.6108	+	3.18826i	1.34551	+	0.127632i
$625$	23.6091	+	6.93224i	0.944362	+	0.277290i
$626$	6.05968	+	9.18369i	0.242193	+	0.367054i
$627$	−76.9816	+	22.6038i	−3.07435	+	0.902711i
$628$	−25.7889	−	28.3509i	−1.02909	−	1.13132i
$629$	−21.8637	−	9.98480i	−0.871761	−	0.398120i
$630$	−28.6781	−	32.3011i	−1.14256	−	1.28690i
$631$	22.7217	−	14.6023i	0.904535	−	0.581310i	−0.00359665	−	0.999994i	$-0.501145\pi$
$631$	22.7217	−	14.6023i	0.904535	−	0.581310i	0.908132	+	0.418684i	$0.137508\pi$
$632$	12.3496	+	3.14588i	0.491241	+	0.125137i
$633$	−0.195641	−	1.36072i	−0.00777605	−	0.0540836i
$634$	42.3308	−	19.9521i	1.68117	−	0.792398i
$635$	−1.40270	−	1.21545i	−0.0556644	−	0.0482335i
$636$	−15.5930	+	18.8973i	−0.618304	+	0.749328i
$637$	1.77616	−	2.76376i	0.0703741	−	0.109504i
$638$	−0.723302	−	4.63341i	−0.0286358	−	0.183439i
$639$	−26.3492	+	22.8317i	−1.04236	+	0.903210i
$640$	33.4853	−	12.9874i	1.32362	−	0.513373i
$641$	5.99823	−	2.73930i	0.236916	−	0.108196i	−0.293420	−	0.955984i	$-0.594793\pi$
$641$	5.99823	−	2.73930i	0.236916	−	0.108196i	0.530335	+	0.847788i	$0.322066\pi$
$642$	−12.8564	+	45.8212i	−0.507400	+	1.80842i
$643$			18.5959i			0.733353i	0.930349	+	0.366676i	$0.119504\pi$
$643$			18.5959i			0.733353i	−0.930349	+	0.366676i	$0.880496\pi$
$644$	−12.4638	−	19.8581i	−0.491143	−	0.782518i
$645$		−	68.2541i		−	2.68750i
$646$	41.0956	+	11.5305i	1.61689	+	0.453660i
$647$	45.4879	−	20.7736i	1.78831	−	0.816695i	0.817856	−	0.575423i	$-0.195162\pi$
$647$	45.4879	−	20.7736i	1.78831	−	0.816695i	0.970457	−	0.241273i	$-0.0775648\pi$
$648$	−9.42761	+	11.7102i	−0.370352	+	0.460019i
$649$	−31.1606	+	27.0008i	−1.22316	+	1.05987i
$650$	−22.7381	+	3.54955i	−0.891862	+	0.139225i
$651$	11.5861	−	18.0284i	0.454097	−	0.706588i
$652$	−13.8776	+	16.8184i	−0.543490	+	0.658660i
$653$	−25.3913	−	22.0017i	−0.993638	−	0.860992i	−0.00334587	−	0.999994i	$-0.501065\pi$
$653$	−25.3913	−	22.0017i	−0.993638	−	0.860992i	−0.990292	+	0.139002i	$0.955610\pi$
$654$	−22.9704	−	48.7346i	−0.898213	−	1.90567i
$655$	0.886452	+	6.16541i	0.0346365	+	0.240902i
$656$	−10.1114	+	25.3028i	−0.394783	+	0.987909i
$657$	−0.372599	+	0.239455i	−0.0145365	+	0.00934202i
$658$	12.8279	−	11.3891i	0.500084	−	0.443993i
$659$	−18.3753	−	8.39170i	−0.715799	−	0.326894i	0.0240098	−	0.999712i	$-0.492357\pi$
$659$	−18.3753	−	8.39170i	−0.715799	−	0.326894i	−0.739809	+	0.672817i	$0.765084\pi$
$660$	−52.7497	+	47.9828i	−2.05328	+	1.86773i
$661$	4.33662	−	1.27335i	0.168675	−	0.0495274i	−0.196305	−	0.980543i	$-0.562894\pi$
$661$	4.33662	−	1.27335i	0.168675	−	0.0495274i	0.364980	+	0.931016i	$0.381076\pi$
$662$	5.99708	−	3.95706i	0.233083	−	0.153795i
$663$	34.2159	+	10.0467i	1.32883	+	0.390181i
$664$	0.646460	+	17.8658i	0.0250875	+	0.693326i
$665$	54.8676	+	7.88877i	2.12767	+	0.305913i
$666$	4.12862	−	31.3979i	0.159981	−	1.21664i
$667$	−1.43013	−	3.44399i	−0.0553749	−	0.133352i
$668$	4.65184	−	17.3826i	0.179985	−	0.672554i
$669$	6.32578	+	0.909511i	0.244569	+	0.0351637i
$670$	−3.71252	−	12.1020i	−0.143427	−	0.467541i
$671$	7.17551	−	24.4375i	0.277008	−	0.943401i
$672$	−36.3505	+	2.19389i	−1.40225	+	0.0846313i
$673$	38.2608	−	11.2344i	1.47485	−	0.433054i	0.557176	−	0.830395i	$-0.311885\pi$
$673$	38.2608	−	11.2344i	1.47485	−	0.433054i	0.917671	+	0.397340i	$0.130067\pi$
$674$	0.323333	+	0.273414i	0.0124543	+	0.0105315i
$675$	−5.20055	+	11.3876i	−0.200169	+	0.438310i
$676$	4.51916	−	3.06072i	0.173814	−	0.117720i
$677$	−0.852325	+	0.547756i	−0.0327575	+	0.0210520i	−0.556917	−	0.830568i	$-0.688016\pi$
$677$	−0.852325	+	0.547756i	−0.0327575	+	0.0210520i	0.524160	+	0.851620i	$0.324380\pi$
$678$	0.241045	+	19.9925i	0.00925726	+	0.767807i
$679$	−9.95234	+	1.43093i	−0.381936	+	0.0549141i
$680$	37.3296	−	6.75306i	1.43152	−	0.258968i
$681$	24.6443	+	21.3544i	0.944371	+	0.818302i
$682$	−17.0192	−	10.6499i	−0.651699	−	0.407805i
$683$	6.92971	+	4.45345i	0.265158	+	0.170407i	0.666464	−	0.745537i	$-0.267807\pi$
$683$	6.92971	+	4.45345i	0.265158	+	0.170407i	−0.401306	+	0.915944i	$0.631444\pi$
$684$	1.35586	+	56.2199i	0.0518425	+	2.14962i
$685$	13.7952	−	11.9536i	0.527088	−	0.456724i
$686$	−11.2192	+	25.3717i	−0.428351	+	0.968696i
$687$	22.5871	+	49.4588i	0.861750	+	1.88697i
$688$	−25.6812	−	20.1699i	−0.979086	−	0.768972i
$689$		−	14.9068i		−	0.567902i
$690$	−31.7343	+	46.9930i	−1.20810	+	1.78899i
$691$	24.8069			0.943698			0.471849	−	0.881679i	$-0.343587\pi$
$691$	24.8069			0.943698			0.471849	+	0.881679i	$0.343587\pi$
$692$	33.1127	+	14.1674i	1.25875	+	0.538565i
$693$	37.3228	−	17.0447i	1.41778	−	0.647476i
$694$	13.3751	−	30.2471i	0.507711	−	1.14816i
$695$	44.4622	+	51.3121i	1.68655	+	1.94638i
$696$	−5.75935	−	0.616464i	−0.218307	−	0.0233670i
$697$	−15.5600	+	24.2119i	−0.589378	+	0.917090i
$698$	−11.7099	+	18.7132i	−0.443226	+	0.708305i
$699$	−48.7434	+	56.2529i	−1.84365	+	2.12768i
$700$	23.6421	−	7.56571i	0.893588	−	0.285957i
$701$	−0.509845	−	3.54605i	−0.0192566	−	0.133933i	0.977925	−	0.208955i	$-0.0670062\pi$
$701$	−0.509845	−	3.54605i	−0.0192566	−	0.133933i	−0.997182	+	0.0750225i	$0.976097\pi$
$702$	0.134718	+	11.1736i	0.00508459	+	0.421721i
$703$	21.9715	+	34.1883i	0.828670	+	1.28944i
$704$	2.46572	+	34.0270i	0.0929302	+	1.28244i
$705$	−37.7394	−	17.2350i	−1.42135	−	0.649108i
$706$	14.1050	−	16.6802i	0.530849	−	0.627768i
$707$	−11.8216	−	40.2607i	−0.444597	−	1.51416i
$708$	22.2664	+	45.8010i	0.836824	+	1.72131i
$709$	23.7256	+	6.96647i	0.891034	+	0.261631i	0.695038	−	0.718973i	$-0.255388\pi$
$709$	23.7256	+	6.96647i	0.891034	+	0.261631i	0.195996	+	0.980605i	$0.437206\pi$
$710$	−11.6626	−	38.0174i	−0.437689	−	1.42677i
$711$	−2.52396	+	17.5545i	−0.0946558	+	0.658346i
$712$	9.50903	+	3.93355i	0.356366	+	0.147416i
$713$	−15.1525	−	5.02830i	−0.567465	−	0.188311i
$714$	−38.1363	−	5.01467i	−1.42721	−	0.187669i
$715$	6.17457	−	42.9451i	0.230916	−	1.60605i
$716$	0.578578	+	3.43411i	0.0216225	+	0.128339i
$717$	−3.41359	+	11.6256i	−0.127483	+	0.434166i
$718$	15.5184	−	10.2395i	0.579141	−	0.382135i
$719$	−3.22900	−	10.9970i	−0.120421	−	0.410118i	0.877114	−	0.480282i	$-0.159466\pi$
$719$	−3.22900	−	10.9970i	−0.120421	−	0.410118i	−0.997535	+	0.0701644i	$0.977648\pi$
$720$	22.9307	+	44.4112i	0.854577	+	1.65511i
$721$	4.12020	−	9.02198i	0.153444	−	0.335996i
$722$	−30.0744	−	33.8737i	−1.11925	−	1.26065i
$723$	3.08912	+	4.80677i	0.114886	+	0.178766i
$724$	2.00903	−	16.8475i	0.0746649	−	0.626132i
$725$	3.90806	−	0.561895i	0.145142	−	0.0208682i
$726$	−11.4115	−	24.2110i	−0.423521	−	0.898554i
$727$	11.2837	−	13.0221i	0.418490	−	0.482963i	−0.506886	−	0.862013i	$-0.669204\pi$
$727$	11.2837	−	13.0221i	0.418490	−	0.482963i	0.925376	+	0.379050i	$0.123749\pi$
$728$	16.2097	−	15.1059i	0.600771	−	0.559863i
$729$	−33.9876	−	21.8425i	−1.25880	−	0.808982i
$730$	−0.0779162	−	0.499125i	−0.00288381	−	0.0184734i
$731$	−22.5871	−	26.0669i	−0.835413	−	0.964118i
$732$	−26.8667	−	16.3646i	−0.993020	−	0.604852i
$733$	−14.7844	−	32.3734i	−0.546076	−	1.19574i	−0.958591	−	0.284788i	$-0.908077\pi$
$733$	−14.7844	−	32.3734i	−0.546076	−	1.19574i	0.412515	−	0.910951i	$-0.364650\pi$
$734$	−38.0003	−	10.6620i	−1.40262	−	0.393542i
$735$	8.57052			0.316128
$736$	8.30362	+	25.8273i	0.306075	+	0.952007i
$737$	12.0244			0.442925
$738$	−36.5100	−	10.2438i	−1.34395	−	0.377081i
$739$	−0.0492369	−	0.107814i	−0.00181121	−	0.00396599i	0.908724	−	0.417397i	$-0.137058\pi$
$739$	−0.0492369	−	0.107814i	−0.00181121	−	0.00396599i	−0.910535	+	0.413431i	$0.864330\pi$
$740$	30.8479	+	18.7896i	1.13399	+	0.690718i
$741$	−39.4846	−	45.5677i	−1.45050	−	1.67397i
$742$	2.47998	+	15.8866i	0.0910429	+	0.583214i
$743$	−32.8994	−	21.1431i	−1.20696	−	0.775667i	−0.226814	−	0.973938i	$-0.572831\pi$
$743$	−32.8994	−	21.1431i	−1.20696	−	0.775667i	−0.980147	+	0.198271i	$0.936467\pi$
$744$	−18.1413	+	16.9060i	−0.665093	+	0.619805i
$745$	5.48543	−	6.33052i	0.200971	−	0.231932i
$746$	2.22876	+	4.72859i	0.0816006	+	0.173126i
$747$	−24.6257	+	3.54065i	−0.901009	+	0.129545i
$748$	−4.26685	+	35.7813i	−0.156011	+	1.30830i
$749$	16.8858	+	26.2748i	0.616993	+	0.960060i
$750$	−0.609500	−	0.686500i	−0.0222558	−	0.0250674i
$751$	−4.61466	+	10.1047i	−0.168391	+	0.368726i	−0.974949	−	0.222430i	$-0.928601\pi$
$751$	−4.61466	+	10.1047i	−0.168391	+	0.368726i	0.806557	+	0.591156i	$0.201328\pi$
$752$	−17.6373	+	9.10661i	−0.643166	+	0.332084i
$753$	−2.13931	−	7.28581i	−0.0779607	−	0.265510i
$754$	2.94158	−	1.94094i	0.107126	−	0.0706849i
$755$	−16.4732	+	56.1024i	−0.599520	+	2.04178i
$756$	−2.00249	−	11.8856i	−0.0728297	−	0.432276i
$757$	−4.47864	+	31.1496i	−0.162779	+	1.13215i	0.730586	+	0.682821i	$0.239247\pi$
$757$	−4.47864	+	31.1496i	−0.162779	+	1.13215i	−0.893365	+	0.449332i	$0.851662\pi$
$758$	−5.23735	−	0.688678i	−0.190229	−	0.0250139i
$759$	−33.8349	−	41.9104i	−1.22813	−	1.52125i
$760$	−59.2705	−	24.5181i	−2.14997	−	0.889365i
$761$	1.03769	−	7.21728i	0.0376161	−	0.261626i	−0.962331	−	0.271880i	$-0.912355\pi$
$761$	1.03769	−	7.21728i	0.0376161	−	0.261626i	0.999947	+	0.0102535i	$0.00326386\pi$
$762$	−0.638650	−	2.08186i	−0.0231359	−	0.0754178i
$763$	−33.9261	−	9.96159i	−1.22821	−	0.360634i
$764$	1.21784	+	2.50503i	0.0440598	+	0.0906288i
$765$	14.8734	+	50.6541i	0.537748	+	1.83140i
$766$	10.5264	−	12.4482i	0.380334	−	0.449773i
$767$	−28.1856	−	12.8719i	−1.01772	−	0.464778i
$768$	41.3870	+	7.92306i	1.49342	+	0.285899i
$769$	1.71279	+	2.66515i	0.0617647	+	0.0961077i	0.870762	−	0.491704i	$-0.163626\pi$
$769$	1.71279	+	2.66515i	0.0617647	+	0.0961077i	−0.808998	+	0.587812i	$0.799990\pi$
$770$	0.564196	+	46.7950i	0.0203322	+	1.68638i
$771$	−6.57764	−	45.7485i	−0.236888	−	1.64759i
$772$	−31.6997	+	10.1442i	−1.14090	+	0.365098i
$773$	12.6376	−	14.5846i	0.454543	−	0.524571i	−0.481505	−	0.876444i	$-0.659910\pi$
$773$	12.6376	−	14.5846i	0.454543	−	0.524571i	0.936048	+	0.351873i	$0.114455\pi$
$774$	24.1062	−	38.5233i	0.866479	−	1.38469i
$775$	9.13853	−	14.2198i	0.328266	−	0.510792i
$776$	11.5684	+	1.23825i	0.415283	+	0.0444507i
$777$	−23.9833	−	27.6782i	−0.860397	−	0.992951i
$778$	15.6739	−	35.4459i	0.561938	−	1.27080i
$779$	44.2650	−	20.2151i	1.58596	−	0.724283i
$780$	−49.2686	−	21.0799i	−1.76410	−	0.754780i
$781$	37.7737			1.35165
$782$	3.43159	+	28.4488i	0.122713	+	1.01733i
$783$		−	1.91711i		−	0.0685120i
$784$	2.53270	−	3.22473i	0.0904535	−	0.115169i
$785$	25.2708	+	55.3353i	0.901954	+	1.97500i
$786$	−2.95550	+	6.68372i	−0.105419	+	0.238401i
$787$	8.72998	−	7.56457i	0.311190	−	0.269648i	−0.485236	−	0.874383i	$-0.661266\pi$
$787$	8.72998	−	7.56457i	0.311190	−	0.269648i	0.796427	+	0.604735i	$0.206721\pi$
$788$	0.834097	+	34.5854i	0.0297135	+	1.23205i
$789$	31.4913	+	20.2382i	1.12112	+	0.720500i
$790$	−17.1476	−	10.7302i	−0.610083	−	0.381763i
$791$	9.91670	+	8.59287i	0.352597	+	0.305527i
$792$	−46.7192	+	8.45168i	−1.66010	+	0.300317i
$793$	18.9455	−	2.72395i	0.672775	−	0.0967304i
$794$	−0.0652224	−	5.40962i	−0.00231466	−	0.191980i
$795$	32.7147	−	21.0245i	1.16027	−	0.745661i
$796$	−33.7101	+	22.8310i	−1.19482	+	0.809223i
$797$	0.101246	−	0.221697i	0.00358631	−	0.00785292i	−0.907830	−	0.419338i	$-0.862262\pi$
$797$	0.101246	−	0.221697i	0.00358631	−	0.00785292i	0.911417	+	0.411485i	$0.134990\pi$
$798$	49.6608	+	41.9939i	1.75797	+	1.48657i
$799$	−20.1166	+	5.90675i	−0.711673	+	0.208966i
$800$	−28.6713	+	1.73043i	−1.01368	+	0.0611799i
$801$	−4.03460	+	13.7406i	−0.142556	+	0.485500i
$802$	−4.10985	−	13.3972i	−0.145124	−	0.473071i
$803$	0.474975	+	0.0682912i	0.0167615	+	0.00240994i
$804$	3.83947	−	14.3470i	0.135408	−	0.505980i
$805$	9.23531	+	36.0500i	0.325502	+	1.27060i
$806$	1.96702	−	14.9590i	0.0692852	−	0.526909i
$807$	51.2033	+	7.36192i	1.80244	+	0.259152i
$808$	1.75572	+	48.5216i	0.0617660	+	1.70698i
$809$	−7.28468	−	2.13898i	−0.256116	−	0.0752024i	0.151154	−	0.988510i	$-0.451701\pi$
$809$	−7.28468	−	2.13898i	−0.256116	−	0.0752024i	−0.407270	+	0.913308i	$0.633519\pi$
$810$	19.9172	−	13.1420i	0.699820	−	0.461762i
$811$	−8.06933	+	2.36937i	−0.283352	+	0.0831998i	−0.420321	−	0.907376i	$-0.638082\pi$
$811$	−8.06933	+	2.36937i	−0.283352	+	0.0831998i	0.136968	+	0.990575i	$0.456264\pi$
$812$	−2.81201	+	2.55790i	−0.0986824	+	0.0897645i
$813$	−41.1133	−	18.7758i	−1.44191	−	0.658497i
$814$	−25.6571	+	22.7793i	−0.899281	+	0.798415i
$815$	29.1157	−	18.7116i	1.01988	−	0.655437i
$816$	41.3304	+	16.5162i	1.44685	+	0.578183i
$817$	8.29955	+	57.7246i	0.290364	+	2.01953i
$818$	4.66191	+	9.89082i	0.163000	+	0.345825i
$819$	23.3034	+	20.1925i	0.814288	+	0.705585i
$820$	27.5266	−	33.3598i	0.961272	−	1.16497i
$821$	10.6947	−	16.6412i	0.373247	−	0.580783i	−0.602921	−	0.797801i	$-0.705997\pi$
$821$	10.6947	−	16.6412i	0.373247	−	0.580783i	0.976168	+	0.217018i	$0.0696329\pi$
$822$	21.1601	−	3.30321i	0.738042	−	0.115213i
$823$	18.9703	−	16.4379i	0.661263	−	0.572988i	−0.258235	−	0.966082i	$-0.583141\pi$
$823$	18.9703	−	16.4379i	0.661263	−	0.572988i	0.919498	+	0.393094i	$0.128595\pi$
$824$	−7.19707	+	8.93959i	−0.250722	+	0.311425i
$825$	51.8751	−	23.6905i	1.80606	−	0.824799i
$826$	32.1796	+	9.02885i	1.11967	+	0.314154i
$827$		−	5.97045i		−	0.207613i	−0.994598	−	0.103806i	$-0.966898\pi$
$827$		−	5.97045i		−	0.207613i	0.994598	−	0.103806i	$-0.0331022\pi$
$828$	−34.5083	+	15.3153i	−1.19925	+	0.532244i
$829$		−	4.94621i		−	0.171789i	−0.996304	−	0.0858945i	$-0.972625\pi$
$829$		−	4.94621i		−	0.171789i	0.996304	−	0.0858945i	$-0.0273748\pi$
$830$	7.66569	−	27.3212i	0.266080	−	0.948333i
$831$	−38.6365	+	17.6447i	−1.34029	+	0.612088i
$832$	−22.4910	+	12.3084i	−0.779735	+	0.426716i
$833$	3.27316	−	2.83621i	0.113408	−	0.0982689i
$834$	12.2865	+	78.7061i	0.425446	+	2.72537i
$835$	−15.4417	+	24.0277i	−0.534381	+	0.831512i
$836$	38.7775	−	46.9948i	1.34115	−	1.62535i
$837$	−6.20281	−	5.37477i	−0.214401	−	0.185779i
$838$	−35.4302	+	16.6995i	−1.22391	+	0.576876i
$839$	6.28072	+	43.6834i	0.216835	+	1.50812i	0.749621	+	0.661868i	$0.230236\pi$
$839$	6.28072	+	43.6834i	0.216835	+	1.50812i	−0.532786	+	0.846250i	$0.678855\pi$
$840$	56.0140	+	14.2688i	1.93267	+	0.492319i
$841$	23.8877	−	15.3517i	0.823714	−	0.529369i
$842$	37.4833	+	42.2187i	1.29176	+	1.45495i
$843$	−2.68542	−	1.22639i	−0.0924908	−	0.0422391i
$844$	0.702468	+	0.772256i	0.0241799	+	0.0265821i
$845$	−8.31252	+	2.44078i	−0.285959	+	0.0839652i
$846$	−15.2134	−	23.0566i	−0.523048	−	0.792701i
$847$	−16.8542	−	4.94885i	−0.579118	−	0.170044i
$848$	1.75698	−	18.5222i	0.0603349	−	0.636055i
$849$	−13.7947	−	1.98337i	−0.473432	−	0.0680692i
$850$	−30.0799	−	3.95531i	−1.03173	−	0.135666i
$851$	−15.5405	+	22.4250i	−0.532721	+	0.768720i
$852$	12.0614	−	45.0700i	0.413216	−	1.54407i
$853$	−19.6143	−	2.82010i	−0.671579	−	0.0965585i	−0.201914	−	0.979403i	$-0.564716\pi$
$853$	−19.6143	−	2.82010i	−0.671579	−	0.0965585i	−0.469665	+	0.882845i	$0.655625\pi$
$854$	−19.7376	+	6.05489i	−0.675407	+	0.207194i
$855$	25.1480	−	85.6461i	0.860042	−	2.92903i
$856$	−11.4292	−	34.2855i	−0.390641	−	1.17186i
$857$	6.62404	−	1.94499i	0.226273	−	0.0664397i	−0.166631	−	0.986019i	$-0.553289\pi$
$857$	6.62404	−	1.94499i	0.226273	−	0.0664397i	0.392904	+	0.919580i	$0.371471\pi$
$858$	32.8687	−	38.8697i	1.12212	−	1.32699i
$859$	2.76783	−	6.06070i	0.0944371	−	0.206788i	−0.856518	−	0.516117i	$-0.827377\pi$
$859$	2.76783	−	6.06070i	0.0944371	−	0.206788i	0.950955	+	0.309329i	$0.100104\pi$
$860$	29.0657	+	42.9157i	0.991133	+	1.46341i
$861$	−36.8919	+	23.7090i	−1.25727	+	0.808001i
$862$	13.9649	−	0.168371i	0.475646	−	0.00573475i
$863$	−14.0773	+	2.02402i	−0.479198	+	0.0688983i	−0.377682	−	0.925936i	$-0.623279\pi$
$863$	−14.0773	+	2.02402i	−0.479198	+	0.0688983i	−0.101517	+	0.994834i	$0.532370\pi$
$864$	−1.14958	+	13.8995i	−0.0391096	+	0.472871i
$865$	−43.2041	−	37.4366i	−1.46898	−	1.27288i
$866$	−18.1240	+	28.9633i	−0.615878	+	0.984215i
$867$	1.88362	+	1.21053i	0.0639711	+	0.0411117i
$868$	0.392372	+	16.2695i	0.0133180	+	0.552223i
$869$	14.5214	−	12.5829i	0.492606	−	0.426846i
$870$	8.40844	+	3.71815i	0.285073	+	0.126057i
$871$	3.75388	+	8.21984i	0.127195	+	0.278519i
$872$	35.1964	+	20.8607i	1.19190	+	0.706432i
$873$			16.1911i			0.547984i
$874$	21.1245	−	43.6023i	0.714545	−	1.47487i
$875$	−0.602485			−0.0203677
$876$	0.233145	−	0.544915i	0.00787723	−	0.0184110i
$877$	25.2080	−	11.5121i	0.851212	−	0.388736i	0.0584675	−	0.998289i	$-0.481379\pi$
$877$	25.2080	−	11.5121i	0.851212	−	0.388736i	0.792745	+	0.609554i	$0.208651\pi$
$878$	−1.57978	−	0.698569i	−0.0533150	−	0.0235755i
$879$	43.5538	+	50.2638i	1.46903	+	1.69536i
$880$	12.7338	−	52.6331i	0.429257	−	1.77426i
$881$	19.6053	−	30.5065i	0.660520	−	1.02779i	−0.335788	−	0.941938i	$-0.609002\pi$
$881$	19.6053	−	30.5065i	0.660520	−	1.02779i	0.996308	−	0.0858520i	$-0.0273612\pi$
$882$	4.83730	+	3.02697i	0.162880	+	0.101923i
$883$	−14.4808	+	16.7117i	−0.487317	+	0.562394i	−0.945147	−	0.326646i	$-0.894081\pi$
$883$	−14.4808	+	16.7117i	−0.487317	+	0.562394i	0.457830	+	0.889040i	$0.348627\pi$
$884$	−25.7920	+	8.25370i	−0.867480	+	0.277602i
$885$	−11.5039	−	80.0113i	−0.386699	−	2.68955i
$886$	28.5946	−	0.344758i	0.960653	−	0.0115824i
$887$	−8.91523	−	13.8724i	−0.299344	−	0.465789i	0.658701	−	0.752404i	$-0.271106\pi$
$887$	−8.91523	−	13.8724i	−0.299344	−	0.465789i	−0.958046	+	0.286616i	$0.907470\pi$
$888$	18.9869	+	37.8866i	0.637157	+	1.27139i
$889$	−1.29998	−	0.593683i	−0.0436000	−	0.0199115i
$890$	−12.4723	−	10.5467i	−0.418072	−	0.353528i
$891$	6.38595	+	21.7486i	0.213937	+	0.728604i
$892$	−4.36474	+	2.12194i	−0.146142	+	0.0710479i
$893$	34.0132	+	9.98717i	1.13821	+	0.334208i
$894$	9.39564	−	2.88230i	0.314237	−	0.0963984i
$895$	0.786669	−	5.47140i	0.0262954	−	0.182889i
$896$	21.9216	−	16.8591i	0.732349	−	0.563224i
$897$	18.0869	−	36.2133i	0.603904	−	1.20913i
$898$	4.79181	−	36.4414i	0.159905	−	1.21607i
$899$	−0.368382	+	2.56215i	−0.0122862	+	0.0854526i
$900$	−6.64099	−	39.4172i	−0.221366	−	1.31391i
$901$	5.53651	−	18.8556i	0.184448	−	0.628172i
$902$	22.6264	+	34.2913i	0.753378	+	1.14177i
$903$	−14.8065	−	50.4262i	−0.492728	−	1.67808i
$904$	−8.66528	−	12.4679i	−0.288203	−	0.414676i
$905$	−11.1875	+	24.4972i	−0.371885	+	0.814315i
$906$	−51.3003	+	45.5463i	−1.70434	+	1.51318i
$907$	−22.1634	−	34.4870i	−0.735925	−	1.14512i	−0.984308	−	0.176460i	$-0.943535\pi$
$907$	−22.1634	−	34.4870i	−0.735925	−	1.14512i	0.248383	−	0.968662i	$-0.420101\pi$
$908$	−24.5891	−	2.93220i	−0.816018	−	0.0973084i
$909$	−66.8810	+	9.61603i	−2.21830	+	0.318944i
$910$	−31.8127	+	14.9945i	−1.05458	+	0.497063i
$911$	7.23012	−	8.34400i	0.239545	−	0.276449i	−0.623229	−	0.782039i	$-0.714180\pi$
$911$	7.23012	−	8.34400i	0.239545	−	0.276449i	0.862774	+	0.505590i	$0.168725\pi$
$912$	−43.6903	−	61.2734i	−1.44673	−	2.02897i
$913$	22.6756	+	14.5727i	0.750453	+	0.482287i
$914$	−14.9921	+	2.34036i	−0.495896	+	0.0774122i
$915$	32.6988	+	37.7364i	1.08099	+	1.24753i
$916$	−35.2637	−	21.4793i	−1.16515	−	0.709695i
$917$	1.99238	+	4.36271i	0.0657943	+	0.144069i
$918$	−3.97958	+	14.1836i	−0.131346	+	0.468128i
$919$	−30.0990			−0.992873			−0.496437	−	0.868073i	$-0.665358\pi$
$919$	−30.0990			−0.992873			−0.496437	+	0.868073i	$0.665358\pi$
$920$	−0.0583942	−	43.0614i	−0.00192520	−	1.41969i
$921$	−64.4814			−2.12474
$922$	−11.4639	+	40.8582i	−0.377542	+	1.34559i
$923$	11.7925	+	25.8220i	0.388155	+	0.849940i
$924$	−28.5626	+	46.8928i	−0.939639	+	1.54266i
$925$	−18.9168	−	21.8311i	−0.621979	−	0.717803i
$926$	−11.4645	+	1.78967i	−0.376747	+	0.0588124i
$927$	−13.4360	−	8.63478i	−0.441296	−	0.283604i
$928$	3.88379	−	2.06498i	0.127492	−	0.0677864i
$929$	−22.3490	+	25.7921i	−0.733247	+	0.846212i	−0.992833	−	0.119508i	$-0.961868\pi$
$929$	−22.3490	+	25.7921i	−0.733247	+	0.846212i	0.259586	+	0.965720i	$0.416414\pi$
$930$	35.6037	−	16.7813i	1.16749	−	0.550282i
$931$	−7.24836	+	1.04216i	−0.237556	+	0.0341553i
$932$	6.69302	−	56.1270i	0.219237	−	1.83850i
$933$	3.70780	+	5.76945i	0.121388	+	0.188883i
$934$	31.2767	−	27.7686i	1.02341	−	0.908618i
$935$	23.7604	−	52.0281i	0.777049	−	1.70150i
$936$	−20.3627	−	29.2986i	−0.665576	−	0.957654i
$937$	−9.96028	−	33.9216i	−0.325388	−	1.10817i	−0.946031	−	0.324077i	$-0.894946\pi$
$937$	−9.96028	−	33.9216i	−0.325388	−	1.10817i	0.620643	−	0.784094i	$-0.286872\pi$
$938$	−5.36812	−	8.13560i	−0.175275	−	0.265637i
$939$	5.77273	−	19.6601i	0.188386	−	0.641584i
$940$	31.0686	−	5.23443i	1.01335	−	0.170728i
$941$	2.52913	−	17.5905i	0.0824472	−	0.573433i	−0.906162	−	0.422930i	$-0.861002\pi$
$941$	2.52913	−	17.5905i	0.0824472	−	0.573433i	0.988610	−	0.150503i	$-0.0480893\pi$
$942$	−9.30494	+	70.7635i	−0.303171	+	2.30560i
$943$	23.9305	+	22.2404i	0.779283	+	0.724248i
$944$	−33.5045	−	19.3159i	−1.09048	−	0.628680i
$945$	−2.72270	+	18.9368i	−0.0885695	+	0.616014i
$946$	−47.0702	+	14.4397i	−1.53038	+	0.469475i
$947$	5.71264	+	1.67738i	0.185636	+	0.0545076i	0.373229	−	0.927739i	$-0.378251\pi$
$947$	5.71264	+	1.67738i	0.185636	+	0.0545076i	−0.187593	+	0.982247i	$0.560069\pi$
$948$	−10.3766	−	21.3442i	−0.337016	−	0.693226i
$949$	0.101598	+	0.346011i	0.00329801	+	0.0112320i
$950$	39.1698	+	33.1226i	1.27084	+	1.07464i
$951$	−79.2739	−	36.2032i	−2.57063	−	1.17397i
$952$	26.1142	−	13.0871i	0.846365	−	0.424156i
$953$	16.5305	+	25.7219i	0.535475	+	0.833215i	0.998590	−	0.0530828i	$-0.0169047\pi$
$953$	16.5305	+	25.7219i	0.535475	+	0.833215i	−0.463115	+	0.886298i	$0.653268\pi$
$954$	25.8900	−	0.312150i	0.838221	−	0.0101062i
$955$	−0.629192	−	4.37612i	−0.0203602	−	0.141608i
$956$	−2.80438	−	8.76342i	−0.0907001	−	0.283429i
$957$	−5.71903	+	6.60011i	−0.184870	+	0.213351i
$958$	−15.2398	−	9.53637i	−0.492375	−	0.308106i
$959$	7.59880	−	11.8240i	0.245378	−	0.381816i
$960$	−58.7336	−	31.9995i	−1.89562	−	1.03278i
$961$	−13.0436	−	15.0532i	−0.420762	−	0.485586i
$962$	−23.5817	−	10.4277i	−0.760304	−	0.336201i
$963$	45.7493	−	20.8930i	1.47425	−	0.673268i
$964$	−3.98927	−	1.70683i	−0.128486	−	0.0549733i
$965$	52.8294			1.70064
$966$	−13.2511	+	41.6026i	−0.426346	+	1.33854i
$967$			14.5552i			0.468063i	0.972229	+	0.234032i	$0.0751919\pi$
$967$			14.5552i			0.468063i	−0.972229	+	0.234032i	$0.924808\pi$
$968$	17.4853	+	10.3634i	0.561999	+	0.333093i
$969$	−33.0200	−	72.3037i	−1.06076	−	2.32273i
$970$	−16.8895	−	7.46842i	−0.542289	−	0.239796i
$971$	−7.37428	+	6.38985i	−0.236652	+	0.205060i	−0.765111	−	0.643899i	$-0.777316\pi$
$971$	−7.37428	+	6.38985i	−0.236652	+	0.205060i	0.528458	+	0.848959i	$0.322770\pi$
$972$	42.7772	−	1.03166i	1.37208	−	0.0330905i
$973$	43.9799	+	28.2642i	1.40993	+	0.906108i
$974$	−10.8564	+	17.3492i	−0.347861	+	0.555905i
$975$	32.3895	+	28.0657i	1.03730	+	0.898821i
$976$	23.8616	−	1.15161i	0.763790	−	0.0368621i
$977$	13.3308	−	1.91668i	0.426491	−	0.0613202i	0.0742727	−	0.997238i	$-0.476336\pi$
$977$	13.3308	−	1.91668i	0.426491	−	0.0613202i	0.352219	+	0.935918i	$0.385427\pi$
$978$	40.6036	−	0.489547i	1.29836	−	0.0156540i
$979$	13.0524	−	8.38826i	0.417156	−	0.268090i
$980$	−5.38883	+	3.64972i	−0.172140	+	0.116586i
$981$	−23.6527	+	51.7922i	−0.755172	+	1.65360i
$982$	−32.6992	+	38.6692i	−1.04347	+	1.23398i
$983$	−7.48055	+	2.19649i	−0.238592	+	0.0700571i	−0.398843	−	0.917019i	$-0.630588\pi$
$983$	−7.48055	+	2.19649i	−0.238592	+	0.0700571i	0.160250	+	0.987076i	$0.448770\pi$
$984$	48.1397	−	16.0475i	1.53464	−	0.511575i
$985$	15.4705	−	52.6878i	0.492933	−	1.67877i
$986$	4.44170	−	1.36258i	0.141452	−	0.0433933i
$987$	−31.6207	−	4.54637i	−1.00650	−	0.144713i
$988$	44.2313	+	11.8369i	1.40719	+	0.376583i
$989$	−33.6535	+	20.0080i	−1.07012	+	0.636216i
$990$	74.7163	+	9.82471i	2.37464	+	0.312250i
$991$	−33.4567	−	4.81034i	−1.06279	−	0.152806i	−0.411326	−	0.911488i	$-0.634934\pi$
$991$	−33.4567	−	4.81034i	−1.06279	−	0.152806i	−0.651460	+	0.758683i	$0.725843\pi$
$992$	4.20723	−	18.3553i	0.133580	−	0.582782i
$993$	−12.8383	−	3.76968i	−0.407412	−	0.119627i
$994$	−16.8635	−	25.5573i	−0.534878	−	0.810629i
$995$	62.0061	−	18.2066i	1.96572	−	0.577189i
$996$	24.6280	−	22.4024i	0.780369	−	0.709848i
$997$	9.61534	+	4.39118i	0.304521	+	0.139070i	0.561814	−	0.827263i	$-0.310103\pi$
$997$	9.61534	+	4.39118i	0.304521	+	0.139070i	−0.257294	+	0.966333i	$0.582831\pi$
$998$	−7.70754	−	8.68126i	−0.243978	−	0.274800i
$999$	−11.7996	+	7.58315i	−0.373323	+	0.239920i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.107.21	yes	220
4.3	odd	2		736.2.r.a.15.19		220
8.3	odd	2	inner	184.2.j.a.107.1	yes	220
8.5	even	2		736.2.r.a.15.20		220
23.20	odd	22	inner	184.2.j.a.43.1	✓	220
92.43	even	22		736.2.r.a.687.20		220
184.43	even	22	inner	184.2.j.a.43.21	yes	220
184.181	odd	22		736.2.r.a.687.19		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.43.1	✓	220	23.20	odd	22	inner
184.2.j.a.43.21	yes	220	184.43	even	22	inner
184.2.j.a.107.1	yes	220	8.3	odd	2	inner
184.2.j.a.107.21	yes	220	1.1	even	1	trivial
736.2.r.a.15.19		220	4.3	odd	2
736.2.r.a.15.20		220	8.5	even	2
736.2.r.a.687.19		220	184.181	odd	22
736.2.r.a.687.20		220	92.43	even	22

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+(1.36163 + 0.382042i) q^{2} +(-1.09406 - 2.39566i) q^{3} +(1.70809 + 1.04040i) q^{4} +(-2.07888 - 2.39915i) q^{5} +(-0.574467 - 3.67999i) q^{6} +(-2.05633 - 1.32152i) q^{7} +(1.92831 + 2.06921i) q^{8} +(-2.57763 + 2.97474i) q^{9} +(-1.91409 - 4.06098i) q^{10} +(4.22113 - 0.606906i) q^{11} +(0.623697 - 5.23026i) q^{12} +(1.73266 + 2.69608i) q^{13} +(-2.29508 - 2.58503i) q^{14} +(-3.47313 + 7.60509i) q^{15} +(1.83513 + 3.55420i) q^{16} +(1.19030 + 4.05381i) q^{17} +(-4.64626 + 3.06575i) q^{18} +(2.01257 - 6.85419i) q^{19} +(-1.05482 - 6.26082i) q^{20} +(-0.916167 + 6.37208i) q^{21} +(5.97949 + 0.786264i) q^{22} +(4.76790 - 0.516883i) q^{23} +(2.84742 - 6.88341i) q^{24} +(-0.722624 + 5.02596i) q^{25} +(1.32924 + 4.33302i) q^{26} +(2.36563 + 0.694612i) q^{27} +(-2.13747 - 4.39668i) q^{28} +(-0.219068 - 0.746078i) q^{29} +(-7.63459 + 9.02846i) q^{30} +(-3.02811 - 1.38289i) q^{31} +(1.14092 + 5.54061i) q^{32} +(-6.07211 - 9.44839i) q^{33} +(0.0720336 + 5.97454i) q^{34} +(1.10432 + 7.68071i) q^{35} +(-7.49775 + 2.39935i) q^{36} +(-3.72550 + 4.29946i) q^{37} +(5.35898 - 8.56401i) q^{38} +(4.56324 - 7.10054i) q^{39} +(0.955620 - 8.92793i) q^{40} +(4.46097 + 5.14823i) q^{41} +(-3.68189 + 8.32642i) q^{42} +(-7.42601 + 3.39134i) q^{43} +(7.84148 + 3.35502i) q^{44} +12.4954 q^{45} +(6.68959 + 1.11773i) q^{46} +4.96239i q^{47} +(6.50690 - 8.28485i) q^{48} +(-0.425844 - 0.932469i) q^{49} +(-2.90408 + 6.56744i) q^{50} +(8.40927 - 7.28668i) q^{51} +(0.154537 + 6.40780i) q^{52} +(-3.91295 - 2.51470i) q^{53} +(2.95575 + 1.84958i) q^{54} +(-10.2313 - 8.86543i) q^{55} +(-1.23074 - 6.80327i) q^{56} +(-18.6222 + 2.67747i) q^{57} +(-0.0132573 - 1.09958i) q^{58} +(-8.13360 + 5.22715i) q^{59} +(-13.8448 + 9.37671i) q^{60} +(2.48100 - 5.43263i) q^{61} +(-3.59485 - 3.03985i) q^{62} +(9.23164 - 2.71065i) q^{63} +(-0.563235 + 7.98015i) q^{64} +(2.86630 - 9.76173i) q^{65} +(-4.65830 - 15.1850i) q^{66} +(2.79093 + 0.401275i) q^{67} +(-2.18444 + 8.16265i) q^{68} +(-6.45464 - 10.8568i) q^{69} +(-1.43068 + 10.8802i) q^{70} +(8.76749 + 1.26057i) q^{71} +(-11.1258 + 0.402581i) q^{72} +(0.107965 + 0.0317015i) q^{73} +(-6.71534 + 4.43098i) q^{74} +(12.8311 - 3.76755i) q^{75} +(10.5688 - 9.61368i) q^{76} +(-9.48205 - 4.33031i) q^{77} +(8.92616 - 7.92498i) q^{78} +(3.79042 - 2.43595i) q^{79} +(4.71205 - 11.7915i) q^{80} +(0.756427 + 5.26107i) q^{81} +(4.10736 + 8.71428i) q^{82} +(4.77682 + 4.13913i) q^{83} +(-8.19442 + 9.93089i) q^{84} +(7.25119 - 11.2831i) q^{85} +(-11.4071 + 1.78072i) q^{86} +(-1.54768 + 1.34107i) q^{87} +(9.39546 + 7.56408i) q^{88} +(3.30946 - 1.51138i) q^{89} +(17.0142 + 4.77378i) q^{90} -7.83376i q^{91} +(8.68175 + 4.07765i) q^{92} +8.76728i q^{93} +(-1.89584 + 6.75695i) q^{94} +(-20.6281 + 9.42055i) q^{95} +(12.0252 - 8.79501i) q^{96} +(3.10872 - 2.69372i) q^{97} +(-0.223601 - 1.43237i) q^{98} +(-9.07511 + 14.1212i) 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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