LMFDB - Embedded newform 290.2.l.b.129.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [290,2,Mod(9,290)] 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("290.9"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(290, base_ring=CyclotomicField(14)) chi = DirichletCharacter(H, H._module([7, 5])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 290 = 2 \cdot 5 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	290.l (of order $14$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [48,8] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$2.31566165862$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$8$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			129.1
Character	$\chi$	$=$	290.129
Dual form			290.2.l.b.9.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.900969 + 0.433884i) q^{2} +(-1.97436 + 2.47577i) q^{3} +(0.623490 + 0.781831i) q^{4} +(2.23570 + 0.0405388i) q^{5} +(-2.85304 + 1.37395i) q^{6} +(3.28805 + 2.62213i) q^{7} +(0.222521 + 0.974928i) q^{8} +(-1.56378 - 6.85135i) q^{9} +(1.99671 + 1.00656i) q^{10} +(-2.39875 - 0.547500i) q^{11} -3.16663 q^{12} +(-0.266351 - 0.0607928i) q^{13} +(1.82473 + 3.78909i) q^{14} +(-4.51445 + 5.45505i) q^{15} +(-0.222521 + 0.974928i) q^{16} -6.35905 q^{17} +(1.56378 - 6.85135i) q^{18} +(3.35467 - 2.67526i) q^{19} +(1.36224 + 1.77322i) q^{20} +(-12.9836 + 2.96342i) q^{21} +(-1.92365 - 1.53406i) q^{22} +(-0.0326965 - 0.0678950i) q^{23} +(-2.85304 - 1.37395i) q^{24} +(4.99671 + 0.181265i) q^{25} +(-0.213597 - 0.170338i) q^{26} +(11.4907 + 5.53365i) q^{27} +4.20558i q^{28} +(4.55885 - 2.86651i) q^{29} +(-6.43423 + 2.95608i) q^{30} +(-1.92805 + 4.00365i) q^{31} +(-0.623490 + 0.781831i) q^{32} +(6.09149 - 4.85780i) q^{33} +(-5.72931 - 2.75909i) q^{34} +(7.24480 + 5.99560i) q^{35} +(4.38161 - 5.49436i) q^{36} +(-2.45772 - 10.7680i) q^{37} +(4.18321 - 0.954789i) q^{38} +(0.676382 - 0.539396i) q^{39} +(0.457968 + 2.18867i) q^{40} +2.20411i q^{41} +(-12.9836 - 2.96342i) q^{42} +(2.45507 - 1.18230i) q^{43} +(-1.06755 - 2.21678i) q^{44} +(-3.21839 - 15.3810i) q^{45} -0.0753577i q^{46} +(0.276905 - 1.21320i) q^{47} +(-1.97436 - 2.47577i) q^{48} +(2.37805 + 10.4189i) q^{49} +(4.42324 + 2.33131i) q^{50} +(12.5551 - 15.7436i) q^{51} +(-0.118537 - 0.246145i) q^{52} +(0.195469 - 0.405895i) q^{53} +(7.95184 + 9.97129i) q^{54} +(-5.34070 - 1.32129i) q^{55} +(-1.82473 + 3.78909i) q^{56} +13.5873i q^{57} +(5.35111 - 0.604626i) q^{58} +4.56149 q^{59} +(-7.07964 - 0.128371i) q^{60} +(7.42128 + 5.91827i) q^{61} +(-3.47423 + 2.77061i) q^{62} +(12.8234 - 26.6280i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-0.593016 - 0.146712i) q^{65} +(7.59597 - 1.73373i) q^{66} +(9.55746 - 2.18143i) q^{67} +(-3.96480 - 4.97171i) q^{68} +(0.232647 + 0.0531002i) q^{69} +(3.92595 + 8.54525i) q^{70} +(-1.13060 + 4.95349i) q^{71} +(6.33160 - 3.04914i) q^{72} +(1.48817 - 0.716663i) q^{73} +(2.45772 - 10.7680i) q^{74} +(-10.3141 + 12.0128i) q^{75} +(4.18321 + 0.954789i) q^{76} +(-6.45161 - 8.09006i) q^{77} +(0.843434 - 0.192508i) q^{78} +(-11.0960 + 2.53259i) q^{79} +(-0.537013 + 2.17063i) q^{80} +(-17.3921 + 8.37560i) q^{81} +(-0.956325 + 1.98583i) q^{82} +(-4.73061 + 3.77253i) q^{83} +(-10.4120 - 8.30333i) q^{84} +(-14.2169 - 0.257788i) q^{85} +2.72492 q^{86} +(-1.90399 + 16.9462i) q^{87} -2.46044i q^{88} +(3.52659 - 7.32303i) q^{89} +(3.77388 - 15.2542i) q^{90} +(-0.716368 - 0.898297i) q^{91} +(0.0326965 - 0.0678950i) q^{92} +(-6.10543 - 12.6781i) q^{93} +(0.775870 - 0.972910i) q^{94} +(7.60849 - 5.84509i) q^{95} +(-0.704642 - 3.08724i) q^{96} +(9.81647 + 12.3095i) q^{97} +(-2.37805 + 10.4189i) q^{98} +17.2909i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 8 q^{2} - 4 q^{3} - 8 q^{4} + 8 q^{5} - 3 q^{6} + 7 q^{7} + 8 q^{8} - 8 q^{9} - q^{10} + 10 q^{12} - 10 q^{15} - 8 q^{16} - 30 q^{17} + 8 q^{18} - 13 q^{20} + 7 q^{21} + 7 q^{23} - 3 q^{24} - 12 q^{25}+ \cdots - 27 q^{98}+O(q^{100}) $ 48 * q + 8 * q^2 - 4 * q^3 - 8 * q^4 + 8 * q^5 - 3 * q^6 + 7 * q^7 + 8 * q^8 - 8 * q^9 - q^10 + 10 * q^12 - 10 * q^15 - 8 * q^16 - 30 * q^17 + 8 * q^18 - 13 * q^20 + 7 * q^21 + 7 * q^23 - 3 * q^24 - 12 * q^25 + 21 * q^26 + 11 * q^27 - 10 * q^29 - 18 * q^30 + 14 * q^31 + 8 * q^32 - 14 * q^33 - 33 * q^34 - q^36 - 44 * q^37 - 28 * q^38 - 14 * q^39 - 8 * q^40 + 7 * q^42 - 8 * q^43 + 14 * q^44 + 25 * q^45 - 6 * q^47 - 4 * q^48 + 27 * q^49 + 5 * q^50 + 24 * q^51 + 77 * q^53 + 10 * q^54 - 32 * q^55 + 10 * q^58 - 24 * q^59 + 4 * q^60 + 56 * q^61 - 8 * q^64 - 34 * q^65 + 42 * q^67 - 2 * q^68 + 28 * q^69 - 30 * q^71 + 22 * q^72 - 29 * q^73 + 44 * q^74 - 32 * q^75 - 28 * q^76 - 30 * q^77 + 14 * q^78 + q^80 - 130 * q^81 - 42 * q^82 - 42 * q^84 + 28 * q^85 - 62 * q^86 + 32 * q^87 + 31 * q^90 - 106 * q^91 - 7 * q^92 - 70 * q^93 + 27 * q^94 + 165 * q^95 + 4 * q^96 - 49 * q^97 - 27 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/290\mathbb{Z}\right)^\times$.

$n$	$31$	$117$
$\chi(n)$	$e\left(\frac{9}{14}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.900969	+	0.433884i	0.637081	+	0.306802i
$2$	0.900969	+	0.433884i	0.637081	+	0.306802i
$3$	−1.97436	+	2.47577i	−1.13990	+	1.42939i	−0.252974	+	0.967473i	$0.581409\pi$
$3$	−1.97436	+	2.47577i	−1.13990	+	1.42939i	−0.886925	+	0.461914i	$0.847163\pi$
$4$	0.623490	+	0.781831i	0.311745	+	0.390916i
$5$	2.23570	+	0.0405388i	0.999836	+	0.0181295i
$5$	2.23570	+	0.0405388i	0.999836	+	0.0181295i
$6$	−2.85304	+	1.37395i	−1.16475	+	0.560913i
$7$	3.28805	+	2.62213i	1.24277	+	0.991073i	0.999779	+	0.0210443i	$0.00669909\pi$
$7$	3.28805	+	2.62213i	1.24277	+	0.991073i	0.242988	+	0.970029i	$0.421872\pi$
$8$	0.222521	+	0.974928i	0.0786730	+	0.344689i
$9$	−1.56378	−	6.85135i	−0.521259	−	2.28378i
$10$	1.99671	+	1.00656i	0.631414	+	0.318302i
$11$	−2.39875	−	0.547500i	−0.723252	−	0.165077i	−0.154979	−	0.987918i	$-0.549531\pi$
$11$	−2.39875	−	0.547500i	−0.723252	−	0.165077i	−0.568273	+	0.822840i	$0.692388\pi$
$12$	−3.16663			−0.914128
$13$	−0.266351	−	0.0607928i	−0.0738724	−	0.0168609i	0.185425	−	0.982658i	$-0.440634\pi$
$13$	−0.266351	−	0.0607928i	−0.0738724	−	0.0168609i	−0.259297	+	0.965798i	$0.583491\pi$
$14$	1.82473	+	3.78909i	0.487680	+	1.01268i
$15$	−4.51445	+	5.45505i	−1.16563	+	1.40849i
$16$	−0.222521	+	0.974928i	−0.0556302	+	0.243732i
$17$	−6.35905			−1.54230			−0.771148	−	0.636655i	$-0.780317\pi$
$17$	−6.35905			−1.54230			−0.771148	+	0.636655i	$0.780317\pi$
$18$	1.56378	−	6.85135i	0.368586	−	1.61488i
$19$	3.35467	−	2.67526i	0.769614	−	0.613747i	−0.157934	−	0.987450i	$-0.550483\pi$
$19$	3.35467	−	2.67526i	0.769614	−	0.613747i	0.927548	+	0.373703i	$0.121912\pi$
$20$	1.36224	+	1.77322i	0.304607	+	0.396503i
$21$	−12.9836	+	2.96342i	−2.83326	+	0.646672i
$22$	−1.92365	−	1.53406i	−0.410124	−	0.327063i
$23$	−0.0326965	−	0.0678950i	−0.00681769	−	0.0141571i	0.897532	−	0.440949i	$-0.145358\pi$
$23$	−0.0326965	−	0.0678950i	−0.00681769	−	0.0141571i	−0.904350	+	0.426792i	$0.859644\pi$
$24$	−2.85304	−	1.37395i	−0.582373	−	0.280456i
$25$	4.99671	+	0.181265i	0.999343	+	0.0362530i
$26$	−0.213597	−	0.170338i	−0.0418897	−	0.0334060i
$27$	11.4907	+	5.53365i	2.21139	+	1.06495i
$28$			4.20558i			0.794779i
$29$	4.55885	−	2.86651i	0.846557	−	0.532298i
$29$	4.55885	−	2.86651i	0.846557	−	0.532298i
$30$	−6.43423	+	2.95608i	−1.17472	+	0.539704i
$31$	−1.92805	+	4.00365i	−0.346289	+	0.719076i	−0.999266	−	0.0383013i	$-0.987805\pi$
$31$	−1.92805	+	4.00365i	−0.346289	+	0.719076i	0.652977	+	0.757377i	$0.273520\pi$
$32$	−0.623490	+	0.781831i	−0.110218	+	0.138210i
$33$	6.09149	−	4.85780i	1.06039	−	0.845635i
$34$	−5.72931	−	2.75909i	−0.982568	−	0.473180i
$35$	7.24480	+	5.99560i	1.22459	+	1.01344i
$36$	4.38161	−	5.49436i	0.730268	−	0.915727i
$37$	−2.45772	−	10.7680i	−0.404046	−	1.77024i	−0.610736	−	0.791834i	$-0.709126\pi$
$37$	−2.45772	−	10.7680i	−0.404046	−	1.77024i	0.206690	−	0.978407i	$-0.433731\pi$
$38$	4.18321	−	0.954789i	0.678606	−	0.154887i
$39$	0.676382	−	0.539396i	0.108308	−	0.0863725i
$40$	0.457968	+	2.18867i	0.0724111	+	0.346059i
$41$			2.20411i			0.344223i	0.985077	+	0.172112i	$0.0550590\pi$
$41$			2.20411i			0.344223i	−0.985077	+	0.172112i	$0.944941\pi$
$42$	−12.9836	−	2.96342i	−2.00341	−	0.457266i
$43$	2.45507	−	1.18230i	0.374394	−	0.180299i	−0.237218	−	0.971456i	$-0.576236\pi$
$43$	2.45507	−	1.18230i	0.374394	−	0.180299i	0.611612	+	0.791158i	$0.290521\pi$
$44$	−1.06755	−	2.21678i	−0.160939	−	0.334192i
$45$	−3.21839	−	15.3810i	−0.479769	−	2.29286i
$46$		−	0.0753577i		−	0.0111109i
$47$	0.276905	−	1.21320i	0.0403907	−	0.176963i	−0.950709	−	0.310084i	$-0.899643\pi$
$47$	0.276905	−	1.21320i	0.0403907	−	0.176963i	0.991100	+	0.133121i	$0.0424999\pi$
$48$	−1.97436	−	2.47577i	−0.284975	−	0.357347i
$49$	2.37805	+	10.4189i	0.339722	+	1.48842i
$50$	4.42324	+	2.33131i	0.625540	+	0.329697i
$51$	12.5551	−	15.7436i	1.75806	−	2.20454i
$52$	−0.118537	−	0.246145i	−0.0164381	−	0.0341342i
$53$	0.195469	−	0.405895i	0.0268497	−	0.0557540i	−0.887113	−	0.461553i	$-0.847292\pi$
$53$	0.195469	−	0.405895i	0.0268497	−	0.0557540i	0.913962	+	0.405799i	$0.133007\pi$
$54$	7.95184	+	9.97129i	1.08211	+	1.35692i
$55$	−5.34070	−	1.32129i	−0.720140	−	0.178162i
$56$	−1.82473	+	3.78909i	−0.243840	+	0.506339i
$57$			13.5873i			1.79969i
$58$	5.35111	−	0.604626i	0.702636	−	0.0793913i
$59$	4.56149			0.593855			0.296928	−	0.954900i	$-0.404038\pi$
$59$	4.56149			0.593855			0.296928	+	0.954900i	$0.404038\pi$
$60$	−7.07964	−	0.128371i	−0.913977	−	0.0165727i
$61$	7.42128	+	5.91827i	0.950197	+	0.757757i	0.970266	−	0.242041i	$-0.0778170\pi$
$61$	7.42128	+	5.91827i	0.950197	+	0.757757i	−0.0200685	+	0.999799i	$0.506388\pi$
$62$	−3.47423	+	2.77061i	−0.441228	+	0.351868i
$63$	12.8234	−	26.6280i	1.61560	−	3.35482i
$64$	−0.900969	+	0.433884i	−0.112621	+	0.0542355i
$65$	−0.593016	−	0.146712i	−0.0735546	−	0.0181974i
$66$	7.59597	−	1.73373i	0.934999	−	0.213407i
$67$	9.55746	−	2.18143i	1.16763	−	0.266504i	0.405603	−	0.914049i	$-0.367062\pi$
$67$	9.55746	−	2.18143i	1.16763	−	0.266504i	0.762027	+	0.647546i	$0.224204\pi$
$68$	−3.96480	−	4.97171i	−0.480803	−	0.602908i
$69$	0.232647	+	0.0531002i	0.0280074	+	0.00639251i
$70$	3.92595	+	8.54525i	0.469240	+	1.02135i
$71$	−1.13060	+	4.95349i	−0.134178	+	0.587871i	0.862474	+	0.506102i	$0.168914\pi$
$71$	−1.13060	+	4.95349i	−0.134178	+	0.587871i	−0.996651	+	0.0817689i	$0.973943\pi$
$72$	6.33160	−	3.04914i	0.746187	−	0.359345i
$73$	1.48817	−	0.716663i	0.174177	−	0.0838791i	−0.344764	−	0.938690i	$-0.612041\pi$
$73$	1.48817	−	0.716663i	0.174177	−	0.0838791i	0.518940	+	0.854810i	$0.326327\pi$
$74$	2.45772	−	10.7680i	0.285704	−	1.25175i
$75$	−10.3141	+	12.0128i	−1.19097	+	1.38712i
$76$	4.18321	+	0.954789i	0.479847	+	0.109522i
$77$	−6.45161	−	8.09006i	−0.735229	−	0.921948i
$78$	0.843434	−	0.192508i	0.0955001	−	0.0217973i
$79$	−11.0960	+	2.53259i	−1.24840	+	0.284938i	−0.795131	−	0.606437i	$-0.792598\pi$
$79$	−11.0960	+	2.53259i	−1.24840	+	0.284938i	−0.453265	+	0.891376i	$0.649741\pi$
$80$	−0.537013	+	2.17063i	−0.0600398	+	0.242683i
$81$	−17.3921	+	8.37560i	−1.93246	+	0.930623i
$82$	−0.956325	+	1.98583i	−0.105608	+	0.219298i
$83$	−4.73061	+	3.77253i	−0.519252	+	0.414089i	−0.847735	−	0.530420i	$-0.822034\pi$
$83$	−4.73061	+	3.77253i	−0.519252	+	0.414089i	0.328483	+	0.944510i	$0.393463\pi$
$84$	−10.4120	−	8.30333i	−1.13605	−	0.905968i
$85$	−14.2169	−	0.257788i	−1.54204	−	0.0279610i
$86$	2.72492			0.293836
$87$	−1.90399	+	16.9462i	−0.204129	+	1.81682i
$88$		−	2.46044i		−	0.262284i
$89$	3.52659	−	7.32303i	0.373817	−	0.776240i	−0.626177	−	0.779681i	$-0.715381\pi$
$89$	3.52659	−	7.32303i	0.373817	−	0.776240i	0.999994	+	0.00344132i	$0.00109541\pi$
$90$	3.77388	−	15.2542i	0.397802	−	1.60793i
$91$	−0.716368	−	0.898297i	−0.0750958	−	0.0941671i
$92$	0.0326965	−	0.0678950i	0.00340884	−	0.00707854i
$93$	−6.10543	−	12.6781i	−0.633104	−	1.31465i
$94$	0.775870	−	0.972910i	0.0800249	−	0.100348i
$95$	7.60849	−	5.84509i	0.780615	−	0.599693i
$96$	−0.704642	−	3.08724i	−0.0719172	−	0.315090i
$97$	9.81647	+	12.3095i	0.996712	+	1.24984i	0.968183	+	0.250244i	$0.0805109\pi$
$97$	9.81647	+	12.3095i	0.996712	+	1.24984i	0.0285290	+	0.999593i	$0.490918\pi$
$98$	−2.37805	+	10.4189i	−0.240220	+	1.05247i
$99$			17.2909i			1.73780i
$100$	2.97368	+	4.01960i	0.297368	+	0.401960i
$101$	−4.42534	−	9.18932i	−0.440338	−	0.914372i	−0.996523	−	0.0833133i	$-0.973450\pi$
$101$	−4.42534	−	9.18932i	−0.440338	−	0.914372i	0.556185	−	0.831058i	$-0.312265\pi$
$102$	18.1426	−	8.73702i	1.79639	−	0.865094i
$103$	−13.2983	−	3.03525i	−1.31032	−	0.299072i	−0.490375	−	0.871512i	$-0.663140\pi$
$103$	−13.2983	−	3.03525i	−1.31032	−	0.299072i	−0.819947	+	0.572439i	$0.805997\pi$
$104$		−	0.273200i		−	0.0267895i
$105$	−29.1476	+	6.09899i	−2.84451	+	0.595200i
$106$	0.352223	−	0.280888i	0.0342109	−	0.0272823i
$107$	−13.6937	+	3.12550i	−1.32382	+	0.302153i	−0.825285	−	0.564716i	$-0.808986\pi$
$107$	−13.6937	+	3.12550i	−1.32382	+	0.302153i	−0.498535	+	0.866870i	$0.666128\pi$
$108$	2.83798	+	12.4340i	0.273085	+	1.19646i
$109$	0.738744	−	0.926356i	0.0707589	−	0.0887288i	−0.745192	−	0.666850i	$-0.767642\pi$
$109$	0.738744	−	0.926356i	0.0707589	−	0.0887288i	0.815951	+	0.578121i	$0.196214\pi$
$110$	−4.23852	−	3.50768i	−0.404127	−	0.334444i
$111$	31.5114	+	15.1751i	2.99093	+	1.44036i
$112$	−3.28805	+	2.62213i	−0.310692	+	0.247768i
$113$	−2.52867	+	3.17086i	−0.237878	+	0.298289i	−0.886413	−	0.462896i	$-0.846810\pi$
$113$	−2.52867	+	3.17086i	−0.237878	+	0.298289i	0.648535	+	0.761185i	$0.275382\pi$
$114$	−5.89532	+	12.2418i	−0.552147	+	1.14655i
$115$	−0.0703472	−	0.153118i	−0.00655991	−	0.0142784i
$116$	5.08353	+	1.77701i	0.471993	+	0.164991i
$117$			1.91993i			0.177497i
$118$	4.10976	+	1.97916i	0.378334	+	0.182196i
$119$	−20.9089	−	16.6743i	−1.91672	−	1.52853i
$120$	−6.32283	−	3.18740i	−0.577193	−	0.290968i
$121$	−4.45639	−	2.14609i	−0.405127	−	0.195099i
$122$	4.11850	+	8.55215i	0.372871	+	0.774275i
$123$	−5.45686	−	4.35170i	−0.492029	−	0.392380i
$124$	−4.33230	+	0.988819i	−0.389052	+	0.0887985i
$125$	11.1638	+	0.607815i	0.998521	+	0.0543646i
$126$	23.1069	−	18.4272i	2.05853	−	1.64162i
$127$	1.66471	−	7.29359i	0.147719	−	0.647201i	−0.845796	−	0.533506i	$-0.820874\pi$
$127$	1.66471	−	7.29359i	0.147719	−	0.647201i	0.993516	−	0.113695i	$-0.0362687\pi$
$128$	−1.00000			−0.0883883
$129$	−1.92009	+	8.41247i	−0.169055	+	0.740677i
$130$	−0.470633	−	0.389483i	−0.0412772	−	0.0341599i
$131$	−1.75718	−	3.64881i	−0.153525	−	0.318798i	0.809994	−	0.586438i	$-0.199470\pi$
$131$	−1.75718	−	3.64881i	−0.153525	−	0.318798i	−0.963519	+	0.267640i	$0.913756\pi$
$132$	7.59597	+	1.73373i	0.661144	+	0.150902i
$133$	18.0452			1.56472
$134$	9.55746	+	2.18143i	0.825639	+	0.188447i
$135$	25.4655	+	12.8374i	2.19172	+	1.10487i
$136$	−1.41502	−	6.19962i	−0.121337	−	0.531613i
$137$	−4.03138	−	17.6626i	−0.344424	−	1.50902i	−0.789625	−	0.613590i	$-0.789725\pi$
$137$	−4.03138	−	17.6626i	−0.344424	−	1.50902i	0.445201	−	0.895431i	$-0.353132\pi$
$138$	0.186568	+	0.148783i	0.0158818	+	0.0126653i
$139$	17.0903	−	8.23028i	1.44958	−	0.698083i	0.467061	−	0.884225i	$-0.345313\pi$
$139$	17.0903	−	8.23028i	1.44958	−	0.698083i	0.982523	+	0.186142i	$0.0595984\pi$
$140$	−0.170489	+	9.40241i	−0.0144089	+	0.794649i
$141$	2.45689	+	3.08085i	0.206908	+	0.259454i
$142$	−3.16788	+	3.97239i	−0.265842	+	0.333356i
$143$	0.605626	+	0.291654i	0.0506450	+	0.0243893i
$144$	7.02755			0.585629
$145$	10.3084	−	6.22385i	0.856068	−	0.516863i
$146$	1.65174			0.136699
$147$	−30.4900	−	14.6832i	−2.51477	−	1.21105i
$148$	6.88637	−	8.63523i	0.566056	−	0.709812i
$149$	−3.88525	−	4.87195i	−0.318292	−	0.399125i	0.596787	−	0.802399i	$-0.296444\pi$
$149$	−3.88525	−	4.87195i	−0.318292	−	0.399125i	−0.915079	+	0.403274i	$0.867872\pi$
$150$	−14.5048	+	6.34808i	−1.18432	+	0.518318i
$151$	−11.9805	+	5.76952i	−0.974961	+	0.469517i	−0.852369	−	0.522940i	$-0.824835\pi$
$151$	−11.9805	+	5.76952i	−0.974961	+	0.469517i	−0.122592	+	0.992457i	$0.539121\pi$
$152$	3.35467	+	2.67526i	0.272100	+	0.216992i
$153$	9.94414	+	43.5681i	0.803936	+	3.52227i
$154$	−2.30255	−	10.0881i	−0.185545	−	0.812926i
$155$	−4.47285	+	8.87279i	−0.359268	+	0.712680i
$156$	0.843434	+	0.192508i	0.0675288	+	0.0154130i
$157$	13.6035			1.08568			0.542841	−	0.839836i	$-0.317349\pi$
$157$	13.6035			1.08568			0.542841	+	0.839836i	$0.317349\pi$
$158$	−11.0960	−	2.53259i	−0.882750	−	0.201482i
$159$	0.618978	+	1.28532i	0.0490881	+	0.101933i
$160$	−1.42563	+	1.72267i	−0.112706	+	0.136189i
$161$	0.0705219	−	0.308977i	0.00555791	−	0.0243508i
$162$	−19.3038			−1.51665
$163$	2.11073	−	9.24770i	0.165325	−	0.724336i	−0.822500	−	0.568765i	$-0.807421\pi$
$163$	2.11073	−	9.24770i	0.165325	−	0.724336i	0.987825	−	0.155571i	$-0.0497216\pi$
$164$	−1.72324	+	1.37424i	−0.134562	+	0.107310i
$165$	13.8157	−	10.6137i	1.07555	−	0.826272i
$166$	−5.89897	+	1.34640i	−0.457849	+	0.104501i
$167$	−1.50998	−	1.20417i	−0.116846	−	0.0931816i	0.563324	−	0.826236i	$-0.309522\pi$
$167$	−1.50998	−	1.20417i	−0.116846	−	0.0931816i	−0.680170	+	0.733055i	$0.738094\pi$
$168$	−5.77825	−	11.9987i	−0.445802	−	0.925717i
$169$	−11.6453	−	5.60810i	−0.895796	−	0.431393i
$170$	−12.6972	−	6.40076i	−0.973828	−	0.490916i
$171$	−23.5751	−	18.8005i	−1.80283	−	1.43771i
$172$	2.45507	+	1.18230i	0.187197	+	0.0901494i
$173$			13.7215i			1.04323i	0.853181	+	0.521614i	$0.174670\pi$
$173$			13.7215i			1.04323i	−0.853181	+	0.521614i	$0.825330\pi$
$174$	−9.06812	+	14.4419i	−0.687452	+	1.09484i
$175$	15.9542	+	13.6981i	1.20602	+	1.03548i
$176$	1.06755	−	2.21678i	0.0804693	−	0.167096i
$177$	−9.00603	+	11.2932i	−0.676935	+	0.848849i
$178$	6.35469	−	5.06770i	0.476304	−	0.379840i
$179$	−12.8005	−	6.16442i	−0.956757	−	0.460750i	−0.110707	−	0.993853i	$-0.535312\pi$
$179$	−12.8005	−	6.16442i	−0.956757	−	0.460750i	−0.846050	+	0.533103i	$0.821026\pi$
$180$	10.0187	−	12.1061i	0.746749	−	0.902337i
$181$	3.62730	−	4.54849i	0.269615	−	0.338087i	−0.628530	−	0.777785i	$-0.716343\pi$
$181$	3.62730	−	4.54849i	0.269615	−	0.338087i	0.898146	+	0.439698i	$0.144915\pi$
$182$	−0.255669	−	1.12016i	−0.0189514	−	0.0830316i
$183$	−29.3046	+	6.68858i	−2.16626	+	0.494434i
$184$	0.0589170	−	0.0469848i	0.00434342	−	0.00346376i
$185$	−5.05820	−	24.1736i	−0.371886	−	1.77728i
$186$		−	14.0716i		−	1.03178i
$187$	15.2538	+	3.48158i	1.11547	+	0.254598i
$188$	1.12116	−	0.539924i	0.0817693	−	0.0393780i
$189$	23.2722	+	48.3252i	1.69280	+	3.51514i
$190$	9.39110	−	1.96504i	0.681302	−	0.142559i
$191$			10.0136i			0.724558i	0.932070	+	0.362279i	$0.118001\pi$
$191$			10.0136i			0.724558i	−0.932070	+	0.362279i	$0.881999\pi$
$192$	0.704642	−	3.08724i	0.0508531	−	0.222802i
$193$	17.2317	+	21.6079i	1.24037	+	1.55537i	0.700588	+	0.713566i	$0.252921\pi$
$193$	17.2317	+	21.6079i	1.24037	+	1.55537i	0.539780	+	0.841806i	$0.318507\pi$
$194$	3.50346	+	15.3497i	0.251534	+	1.10204i
$195$	1.53405	−	1.17851i	0.109856	−	0.0843948i
$196$	−6.66316	+	8.35533i	−0.475940	+	0.596810i
$197$	−3.95730	−	8.21742i	−0.281946	−	0.585467i	0.711114	−	0.703077i	$-0.248191\pi$
$197$	−3.95730	−	8.21742i	−0.281946	−	0.585467i	−0.993060	+	0.117610i	$0.962477\pi$
$198$	−7.50223	+	15.5785i	−0.533160	+	1.10712i
$199$	8.31031	+	10.4208i	0.589102	+	0.738711i	0.983635	−	0.180171i	$-0.0576651\pi$
$199$	8.31031	+	10.4208i	0.589102	+	0.738711i	−0.394533	+	0.918882i	$0.629094\pi$
$200$	0.935153	+	4.91177i	0.0661253	+	0.347315i
$201$	−13.4692	+	27.9690i	−0.950042	+	1.97278i
$202$		−	10.1994i		−	0.717626i
$203$	22.5061	+	2.52868i	1.57962	+	0.177478i
$204$	20.1368			1.40986
$205$	−0.0893517	+	4.92772i	−0.00624059	+	0.344167i
$206$	−10.6644	−	8.50459i	−0.743025	−	0.592543i
$207$	−0.414042	+	0.330188i	−0.0287779	+	0.0229496i
$208$	0.118537	−	0.246145i	0.00821907	−	0.0170671i
$209$	−9.51173	+	4.58061i	−0.657940	+	0.316847i
$210$	−28.9073	−	7.15167i	−1.99480	−	0.493512i
$211$	−11.5842	+	2.64402i	−0.797491	+	0.182022i	−0.601803	−	0.798644i	$-0.705551\pi$
$211$	−11.5842	+	2.64402i	−0.797491	+	0.182022i	−0.195687	+	0.980666i	$0.562694\pi$
$212$	0.439215	−	0.100248i	0.0301654	−	0.00688505i
$213$	−10.0315	−	12.5791i	−0.687346	−	0.861905i
$214$	−13.6937	−	3.12550i	−0.936082	−	0.213655i
$215$	5.53672	−	2.54374i	0.377601	−	0.173482i
$216$	−2.83798	+	12.4340i	−0.193100	+	0.846026i
$217$	−16.8376	+	8.10858i	−1.14301	+	0.550446i
$218$	1.06752	−	0.514089i	0.0723014	−	0.0348185i
$219$	−1.16388	+	5.09931i	−0.0786480	+	0.344580i
$220$	−2.29685	−	4.99934i	−0.154853	−	0.337055i
$221$	1.69374	+	0.386585i	0.113933	+	0.0260045i
$222$	21.8066	+	27.3446i	1.46356	+	1.83525i
$223$	−18.9953	+	4.33556i	−1.27202	+	0.290331i	−0.804660	−	0.593736i	$-0.797652\pi$
$223$	−18.9953	+	4.33556i	−1.27202	+	0.290331i	−0.467361	+	0.884066i	$0.654795\pi$
$224$	−4.10013	+	0.935829i	−0.273952	+	0.0625277i
$225$	−6.57183	−	34.5177i	−0.438122	−	2.30118i
$226$	−3.65404	+	1.75969i	−0.243063	+	0.117053i
$227$	5.70506	−	11.8467i	0.378658	−	0.786292i	−0.621338	−	0.783543i	$-0.713411\pi$
$227$	5.70506	−	11.8467i	0.378658	−	0.786292i	0.999996	−	0.00274927i	$-0.000875121\pi$
$228$	−10.6230	+	8.47156i	−0.703525	+	0.561043i
$229$	1.81790	+	1.44972i	0.120130	+	0.0958005i	0.681712	−	0.731621i	$-0.261236\pi$
$229$	1.81790	+	1.44972i	0.120130	+	0.0958005i	−0.561582	+	0.827421i	$0.689807\pi$
$230$	0.00305491	−	0.168477i	0.000201435	−	0.0111091i
$231$	32.7670			2.15591
$232$	3.80908	+	3.80669i	0.250078	+	0.249922i
$233$		−	20.0007i		−	1.31029i	−0.755503	−	0.655145i	$-0.772608\pi$
$233$		−	20.0007i		−	1.31029i	0.755503	−	0.655145i	$-0.227392\pi$
$234$	−0.833026	+	1.72980i	−0.0544566	+	0.113080i
$235$	0.668258	−	2.70112i	0.0435923	−	0.176202i
$236$	2.84404	+	3.56632i	0.185131	+	0.232147i
$237$	15.6374	−	32.4714i	1.01576	−	2.10924i
$238$	−11.6036	−	24.0950i	−0.752147	−	1.56185i
$239$	3.37383	−	4.23065i	0.218235	−	0.273658i	−0.660648	−	0.750696i	$-0.729718\pi$
$239$	3.37383	−	4.23065i	0.218235	−	0.273658i	0.878883	+	0.477038i	$0.158290\pi$
$240$	−4.31372	−	5.61512i	−0.278449	−	0.362455i
$241$	−2.87053	−	12.5766i	−0.184907	−	0.810131i	−0.979249	−	0.202660i	$-0.935041\pi$
$241$	−2.87053	−	12.5766i	−0.184907	−	0.810131i	0.794342	−	0.607471i	$-0.207816\pi$
$242$	−3.08392	−	3.86711i	−0.198242	−	0.248587i
$243$	5.08832	−	22.2934i	0.326416	−	1.43012i
$244$			9.49217i			0.607674i
$245$	4.89424	+	23.3900i	0.312682	+	1.49433i
$246$	−3.02833	−	6.28839i	−0.193079	−	0.400933i
$247$	−1.05616	+	0.508617i	−0.0672015	+	0.0323626i
$248$	−4.33230	−	0.988819i	−0.275101	−	0.0627901i
$249$		−	19.1603i		−	1.21423i
$250$	9.79452	+	5.39142i	0.619460	+	0.340983i
$251$	−11.7825	+	9.39624i	−0.743705	+	0.593085i	−0.920307	−	0.391197i	$-0.872061\pi$
$251$	−11.7825	+	9.39624i	−0.743705	+	0.593085i	0.176602	+	0.984282i	$0.443490\pi$
$252$	28.8139	−	6.57658i	1.81510	−	0.414286i
$253$	0.0412583	+	0.180765i	0.00259389	+	0.0113646i
$254$	4.66442	−	5.84900i	0.292672	−	0.366999i
$255$	28.7076	−	34.6889i	1.79774	−	2.17230i
$256$	−0.900969	−	0.433884i	−0.0563106	−	0.0271177i
$257$	−8.10428	+	6.46295i	−0.505531	+	0.403148i	−0.842772	−	0.538271i	$-0.819078\pi$
$257$	−8.10428	+	6.46295i	−0.505531	+	0.403148i	0.337241	+	0.941418i	$0.390506\pi$
$258$	−5.37998	+	6.74628i	−0.334943	+	0.420005i
$259$	20.1539	−	41.8501i	1.25230	−	2.60044i
$260$	−0.255035	−	0.555112i	−0.0158166	−	0.0344266i
$261$	−26.7685	−	26.7517i	−1.65693	−	1.65589i
$262$		−	4.04988i		−	0.250202i
$263$	7.79874	+	3.75567i	0.480891	+	0.231585i	0.658593	−	0.752500i	$-0.271152\pi$
$263$	7.79874	+	3.75567i	0.480891	+	0.231585i	−0.177702	+	0.984084i	$0.556866\pi$
$264$	6.09149	+	4.85780i	0.374905	+	0.298977i
$265$	0.453464	−	0.899536i	0.0278561	−	0.0552581i
$266$	16.2582	+	7.82953i	0.996853	+	0.480059i
$267$	11.1674	+	23.1893i	0.683434	+	1.41916i
$268$	7.66449	+	6.11222i	0.468183	+	0.373364i
$269$	−19.3246	+	4.41070i	−1.17824	+	0.268925i	−0.766420	−	0.642340i	$-0.777964\pi$
$269$	−19.3246	+	4.41070i	−1.17824	+	0.268925i	−0.411819	+	0.911265i	$0.635107\pi$
$270$	17.3737	+	22.6152i	1.05733	+	1.37632i
$271$	−4.93629	+	3.93656i	−0.299858	+	0.239129i	−0.761847	−	0.647757i	$-0.775707\pi$
$271$	−4.93629	+	3.93656i	−0.299858	+	0.239129i	0.461989	+	0.886886i	$0.347136\pi$
$272$	1.41502	−	6.19962i	0.0857983	−	0.375907i
$273$	3.63835			0.220203
$274$	4.03138	−	17.6626i	0.243545	−	1.06704i
$275$	−11.8866	−	3.17051i	−0.716792	−	0.191189i
$276$	0.103538	+	0.214998i	0.00623224	+	0.0129414i
$277$	−2.71346	−	0.619330i	−0.163036	−	0.0372120i	0.140224	−	0.990120i	$-0.455218\pi$
$277$	−2.71346	−	0.619330i	−0.163036	−	0.0372120i	−0.303260	+	0.952908i	$0.598075\pi$
$278$	18.9689			1.13768
$279$	30.4454	+	6.94897i	1.82272	+	0.416024i
$280$	−4.23316	+	8.39731i	−0.252980	+	0.501835i
$281$	1.70676	+	7.47782i	0.101817	+	0.446089i	0.999979	+	0.00642537i	$0.00204527\pi$
$281$	1.70676	+	7.47782i	0.101817	+	0.446089i	−0.898162	+	0.439664i	$0.855098\pi$
$282$	0.876855	+	3.84175i	0.0522160	+	0.228773i
$283$	−3.27704	−	2.61335i	−0.194800	−	0.155348i	0.521233	−	0.853415i	$-0.325472\pi$
$283$	−3.27704	−	2.61335i	−0.194800	−	0.155348i	−0.716033	+	0.698067i	$0.754044\pi$
$284$	−4.57771	+	2.20451i	−0.271637	+	0.130814i
$285$	−0.550814	+	30.3772i	−0.0326274	+	1.79939i
$286$	0.419106	+	0.525542i	0.0247823	+	0.0310760i
$287$	−5.77946	+	7.24721i	−0.341151	+	0.427789i
$288$	6.33160	+	3.04914i	0.373093	+	0.179672i
$289$	23.4375			1.37868
$290$	11.9880	−	1.13484i	0.703960	−	0.0666399i
$291$	−49.8567			−2.92265
$292$	1.48817	+	0.716663i	0.0870883	+	0.0419395i
$293$	−10.2795	+	12.8900i	−0.600533	+	0.753044i	−0.985461	−	0.169902i	$-0.945655\pi$
$293$	−10.2795	+	12.8900i	−0.600533	+	0.753044i	0.384928	+	0.922946i	$0.374226\pi$
$294$	−21.0998	−	26.4583i	−1.23056	−	1.54308i
$295$	10.1981	+	0.184917i	0.593758	+	0.0107663i
$296$	9.95109	−	4.79219i	0.578395	−	0.278540i
$297$	−24.5338	−	19.5650i	−1.42359	−	1.13528i
$298$	−1.38663	−	6.07522i	−0.0803252	−	0.351928i
$299$	0.00458121	+	0.0200716i	0.000264938	+	0.00116077i
$300$	−15.8227	−	0.573999i	−0.913527	−	0.0331399i
$301$	11.1725	+	2.55006i	0.643974	+	0.146983i
$302$	−13.2974			−0.765178
$303$	31.4879	+	7.18691i	1.80893	+	0.412877i
$304$	1.86170	+	3.86586i	0.106776	+	0.221722i
$305$	16.3518	+	13.5323i	0.936303	+	0.774859i
$306$	−9.94414	+	43.5681i	−0.568469	+	2.49062i
$307$	−2.90236			−0.165646			−0.0828231	−	0.996564i	$-0.526394\pi$
$307$	−2.90236			−0.165646			−0.0828231	+	0.996564i	$0.526394\pi$
$308$	2.30255	−	10.0881i	0.131200	−	0.574825i
$309$	33.7703	−	26.9309i	1.92112	−	1.53205i
$310$	−7.87966	+	6.05341i	−0.447535	+	0.343811i
$311$	18.0763	−	4.12581i	1.02501	−	0.233953i	0.323214	−	0.946326i	$-0.395237\pi$
$311$	18.0763	−	4.12581i	1.02501	−	0.233953i	0.701801	+	0.712373i	$0.252380\pi$
$312$	0.676382	+	0.539396i	0.0382926	+	0.0305373i
$313$	6.63164	+	13.7707i	0.374842	+	0.778368i	0.999998	−	0.00213236i	$-0.000678752\pi$
$313$	6.63164	+	13.7707i	0.374842	+	0.778368i	−0.625156	+	0.780500i	$0.714964\pi$
$314$	12.2564	+	5.90236i	0.691667	+	0.333089i
$315$	29.7487	−	59.0125i	1.67615	−	3.32498i
$316$	−8.89830	−	7.09615i	−0.500568	−	0.399190i
$317$	−6.06197	−	2.91929i	−0.340474	−	0.163964i	0.255831	−	0.966721i	$-0.417651\pi$
$317$	−6.06197	−	2.91929i	−0.340474	−	0.163964i	−0.596305	+	0.802758i	$0.703365\pi$
$318$			1.42660i			0.0799997i
$319$	−12.5050	+	4.38009i	−0.700144	+	0.245238i
$320$	−2.03189	+	0.933510i	−0.113586	+	0.0521848i
$321$	19.2983	−	40.0733i	1.07713	−	2.23668i
$322$	0.197598	−	0.247780i	0.0110117	−	0.0138082i
$323$	−21.3325	+	17.0121i	−1.18697	+	0.946580i
$324$	−17.3921	−	8.37560i	−0.966229	−	0.465311i
$325$	−1.31986	−	0.352044i	−0.0732126	−	0.0195279i
$326$	5.91413	−	7.41608i	0.327553	−	0.410739i
$327$	0.834898	+	3.65792i	0.0461699	+	0.202284i
$328$	−2.14884	+	0.490460i	−0.118650	+	0.0270811i
$329$	4.09165	−	3.26298i	0.225580	−	0.179894i
$330$	17.0526	−	3.56817i	0.938714	−	0.196421i
$331$			29.5385i			1.62358i	0.583949	+	0.811791i	$0.301507\pi$
$331$			29.5385i			1.62358i	−0.583949	+	0.811791i	$0.698493\pi$
$332$	−5.89897	−	1.34640i	−0.323748	−	0.0738934i
$333$	−69.9318	+	33.6774i	−3.83224	+	1.84551i
$334$	−0.837977	−	1.74008i	−0.0458521	−	0.0952128i
$335$	21.4560	−	4.48957i	1.17227	−	0.245291i
$336$		−	13.3175i		−	0.726530i
$337$	1.17845	−	5.16314i	0.0641944	−	0.281254i	−0.932635	−	0.360821i	$-0.882497\pi$
$337$	1.17845	−	5.16314i	0.0641944	−	0.281254i	0.996830	+	0.0795669i	$0.0253537\pi$
$338$	−8.05883	−	10.1055i	−0.438343	−	0.549664i
$339$	−2.85780	−	12.5208i	−0.155214	−	0.680038i
$340$	−8.66257	−	11.2760i	−0.469794	−	0.611526i
$341$	6.81692	−	8.54815i	0.369157	−	0.462908i
$342$	−13.0832	−	27.1675i	−0.707458	−	1.46905i
$343$	−6.72755	+	13.9699i	−0.363254	+	0.754304i
$344$	1.69896	+	2.13043i	0.0916017	+	0.114865i
$345$	0.517977	+	0.128147i	0.0278869	+	0.00689922i
$346$	−5.95355	+	12.3627i	−0.320065	+	0.664621i
$347$		−	15.0742i		−	0.809226i	−0.914488	−	0.404613i	$-0.867406\pi$
$347$		−	15.0742i		−	0.809226i	0.914488	−	0.404613i	$-0.132594\pi$
$348$	−14.4362	+	9.07718i	−0.773861	+	0.486588i
$349$	−25.6400			−1.37248			−0.686238	−	0.727377i	$-0.740739\pi$
$349$	−25.6400			−1.37248			−0.686238	+	0.727377i	$0.740739\pi$
$350$	8.43083	+	19.2638i	0.450647	+	1.02969i
$351$	−2.72416	−	2.17245i	−0.145405	−	0.115957i
$352$	1.92365	−	1.53406i	0.102531	−	0.0817657i
$353$	0.698368	−	1.45018i	0.0371704	−	0.0771850i	−0.881557	−	0.472078i	$-0.843504\pi$
$353$	0.698368	−	1.45018i	0.0371704	−	0.0771850i	0.918727	+	0.394893i	$0.129218\pi$
$354$	−13.0141	+	6.26726i	−0.691691	+	0.333101i
$355$	−2.72849	+	11.0287i	−0.144813	+	0.585342i
$356$	7.92417	−	1.80864i	0.419980	−	0.0958577i
$357$	82.5634	−	18.8446i	4.36972	−	0.997360i
$358$	−8.85825	−	11.1079i	−0.468173	−	0.587070i
$359$	−32.3172	−	7.37620i	−1.70564	−	0.389301i	−0.744991	−	0.667074i	$-0.767546\pi$
$359$	−32.3172	−	7.37620i	−1.70564	−	0.389301i	−0.960647	+	0.277773i	$0.910404\pi$
$360$	14.2792	−	6.56029i	0.752579	−	0.345757i
$361$	−0.131102	+	0.574397i	−0.00690013	+	0.0302314i
$362$	5.24160	−	2.52422i	0.275493	−	0.132670i
$363$	14.1117	−	6.79586i	0.740675	−	0.356690i
$364$	0.255669	−	1.12016i	0.0134007	−	0.0587122i
$365$	3.35615	−	1.54192i	0.175669	−	0.0807076i
$366$	−29.3046	−	6.68858i	−1.53177	−	0.349618i
$367$	−9.64296	−	12.0919i	−0.503358	−	0.631191i	0.463625	−	0.886032i	$-0.346549\pi$
$367$	−9.64296	−	12.0919i	−0.503358	−	0.631191i	−0.966983	+	0.254840i	$0.917977\pi$
$368$	0.0734683	−	0.0167687i	0.00382980	−	0.000874127i
$369$	15.1011	−	3.44673i	0.786132	−	0.179430i
$370$	5.93124	−	23.9743i	0.308350	−	1.24636i
$371$	1.70702	−	0.822059i	0.0886243	−	0.0426792i
$372$	6.10543	−	12.6781i	0.316552	−	0.657327i
$373$	5.03100	−	4.01209i	0.260495	−	0.207738i	−0.484529	−	0.874775i	$-0.661009\pi$
$373$	5.03100	−	4.01209i	0.260495	−	0.207738i	0.745025	+	0.667037i	$0.232438\pi$
$374$	12.2326	+	9.75517i	0.632533	+	0.504428i
$375$	−23.5462	+	26.4390i	−1.21592	+	1.36530i
$376$	1.24440			0.0641750
$377$	−1.38852	+	0.486352i	−0.0715122	+	0.0250484i
$378$			53.6369i			2.75879i
$379$	−8.45335	+	17.5536i	−0.434220	+	0.901666i	0.562951	+	0.826490i	$0.309666\pi$
$379$	−8.45335	+	17.5536i	−0.434220	+	0.901666i	−0.997170	+	0.0751758i	$0.976048\pi$
$380$	9.31369	+	2.30420i	0.477782	+	0.118203i
$381$	14.7705	+	18.5216i	0.756716	+	0.948892i
$382$	−4.34473	+	9.02193i	−0.222296	+	0.461602i
$383$	−8.49595	−	17.6420i	−0.434123	−	0.901466i	−0.997180	−	0.0750475i	$-0.976089\pi$
$383$	−8.49595	−	17.6420i	−0.434123	−	0.901466i	0.563057	−	0.826418i	$-0.309625\pi$
$384$	1.97436	−	2.47577i	0.100754	−	0.126341i
$385$	−14.0959	−	18.3485i	−0.718394	−	0.935126i
$386$	6.14994	+	26.9446i	0.313024	+	1.37145i
$387$	−11.9395	−	14.9717i	−0.606920	−	0.761053i
$388$	−3.50346	+	15.3497i	−0.177861	+	0.779261i
$389$		−	25.9935i		−	1.31792i	−0.752177	−	0.658961i	$-0.770996\pi$
$389$		−	25.9935i		−	1.31792i	0.752177	−	0.658961i	$-0.229004\pi$
$390$	1.89347	−	0.396199i	0.0958796	−	0.0200623i
$391$	0.207919	+	0.431748i	0.0105149	+	0.0218344i
$392$	−9.62854	+	4.63686i	−0.486315	+	0.234197i
$393$	12.5029	+	2.85371i	0.630689	+	0.143951i
$394$		−	9.12065i		−	0.459491i
$395$	−24.9100	+	5.21229i	−1.25336	+	0.262259i
$396$	−13.5186	+	10.7807i	−0.679333	+	0.541750i
$397$	15.7441	−	3.59348i	0.790172	−	0.180352i	0.191655	−	0.981462i	$-0.438614\pi$
$397$	15.7441	−	3.59348i	0.790172	−	0.180352i	0.598516	+	0.801111i	$0.295757\pi$
$398$	2.96592	+	12.9945i	0.148668	+	0.651357i
$399$	−35.6278	+	44.6758i	−1.78362	+	2.23659i
$400$	−1.28859	+	4.83110i	−0.0644297	+	0.241555i
$401$	−8.19684	−	3.94739i	−0.409331	−	0.197123i	0.217875	−	0.975977i	$-0.430087\pi$
$401$	−8.19684	−	3.94739i	−0.409331	−	0.197123i	−0.627206	+	0.778853i	$0.715802\pi$
$402$	−24.2706	+	19.3552i	−1.21051	+	0.965348i
$403$	0.756931	−	0.949162i	0.0377054	−	0.0472811i
$404$	4.42534	−	9.18932i	0.220169	−	0.457186i
$405$	−39.2231	+	18.0203i	−1.94901	+	0.895435i
$406$	19.1802	+	12.0433i	0.951895	+	0.597699i
$407$			27.1753i			1.34703i
$408$	18.1426	+	8.73702i	0.898193	+	0.432547i
$409$	9.80960	+	7.82290i	0.485054	+	0.386817i	0.835260	−	0.549855i	$-0.185317\pi$
$409$	9.80960	+	7.82290i	0.485054	+	0.386817i	−0.350206	+	0.936673i	$0.613889\pi$
$410$	−2.21856	+	4.40095i	−0.109567	+	0.217348i
$411$	51.6881	+	24.8917i	2.54958	+	1.22781i
$412$	−5.91831	−	12.2895i	−0.291574	−	0.605460i
$413$	14.9984	+	11.9608i	0.738024	+	0.588554i
$414$	−0.516302	+	0.117843i	−0.0253749	+	0.00579165i
$415$	−10.7292	+	8.24248i	−0.526674	+	0.404608i
$416$	0.213597	−	0.170338i	0.0104724	−	0.00835149i
$417$	−13.3662	+	58.5613i	−0.654548	+	2.86776i
$418$	−10.5572			−0.516371
$419$	−1.33676	+	5.85671i	−0.0653048	+	0.286119i	−0.997027	−	0.0770526i	$-0.975449\pi$
$419$	−1.33676	+	5.85671i	−0.0653048	+	0.286119i	0.931722	+	0.363172i	$0.118306\pi$
$420$	−22.9416	−	18.9858i	−1.11944	−	0.926415i
$421$	−12.8541	−	26.6918i	−0.626471	−	1.30088i	−0.936671	−	0.350209i	$-0.886110\pi$
$421$	−12.8541	−	26.6918i	−0.626471	−	1.30088i	0.310200	−	0.950671i	$-0.399604\pi$
$422$	−11.5842	−	2.64402i	−0.563911	−	0.128709i
$423$	−8.74507			−0.425200
$424$	0.439215	+	0.100248i	0.0213301	+	0.00486847i
$425$	−31.7744	−	1.15267i	−1.54128	−	0.0559129i
$426$	−3.58020	−	15.6859i	−0.173461	−	0.759983i
$427$	8.88305	+	38.9192i	0.429881	+	1.88343i
$428$	−10.9815	−	8.75745i	−0.530811	−	0.423307i
$429$	−1.91779	+	0.923560i	−0.0925919	+	0.0445899i
$430$	6.09210	+	0.110465i	0.293787	+	0.00532709i
$431$	0.889936	+	1.11594i	0.0428667	+	0.0537532i	0.802803	−	0.596245i	$-0.203341\pi$
$431$	0.889936	+	1.11594i	0.0428667	+	0.0537532i	−0.759936	+	0.649998i	$0.774770\pi$
$432$	−7.95184	+	9.97129i	−0.382583	+	0.479744i
$433$	−18.7911	−	9.04929i	−0.903040	−	0.434881i	−0.0760542	−	0.997104i	$-0.524232\pi$
$433$	−18.7911	−	9.04929i	−0.903040	−	0.434881i	−0.826986	+	0.562222i	$0.809946\pi$
$434$	−18.6884			−0.897070
$435$	−4.94374	+	37.8094i	−0.237034	+	1.81282i
$436$	1.18485			0.0567442
$437$	−0.291323	−	0.140294i	−0.0139359	−	0.00671115i
$438$	−3.26113	+	4.08933i	−0.155823	+	0.195396i
$439$	−6.38089	−	8.00139i	−0.304543	−	0.381885i	0.605885	−	0.795552i	$-0.292819\pi$
$439$	−6.38089	−	8.00139i	−0.304543	−	0.381885i	−0.910428	+	0.413667i	$0.864248\pi$
$440$	0.0997433	−	5.50081i	0.00475507	−	0.262241i
$441$	67.6650	−	32.5858i	3.22214	−	1.55170i
$442$	1.35827	+	1.08319i	0.0646064	+	0.0515219i
$443$	−0.895671	−	3.92419i	−0.0425546	−	0.186444i	0.949183	−	0.314723i	$-0.101912\pi$
$443$	−0.895671	−	3.92419i	−0.0425546	−	0.186444i	−0.991738	+	0.128279i	$0.959055\pi$
$444$	7.78268	+	34.0981i	0.369350	+	1.61823i
$445$	8.18126	−	16.2291i	0.387829	−	0.769335i
$446$	−18.9953	−	4.33556i	−0.899455	−	0.205295i
$447$	19.7327			0.933325
$448$	−4.10013	−	0.935829i	−0.193713	−	0.0442138i
$449$	8.48396	+	17.6171i	0.400383	+	0.831404i	0.999527	+	0.0307622i	$0.00979346\pi$
$449$	8.48396	+	17.6171i	0.400383	+	0.831404i	−0.599144	+	0.800641i	$0.704492\pi$
$450$	9.05566	−	33.9508i	0.426888	−	1.60046i
$451$	1.20675	−	5.28711i	0.0568235	−	0.248960i
$452$	−4.05568			−0.190763
$453$	9.36989	−	41.0522i	0.440236	−	1.92880i
$454$	10.2802	−	8.19816i	0.482472	−	0.384759i
$455$	−1.56517	−	2.03736i	−0.0733762	−	0.0955131i
$456$	−13.2467	+	3.02347i	−0.620332	+	0.141587i
$457$	−2.34303	−	1.86851i	−0.109602	−	0.0874050i	0.567155	−	0.823611i	$-0.308044\pi$
$457$	−2.34303	−	1.86851i	−0.109602	−	0.0874050i	−0.676758	+	0.736206i	$0.736615\pi$
$458$	1.00886	+	2.09491i	0.0471408	+	0.0978889i
$459$	−73.0702	−	35.1888i	−3.41063	−	1.64247i
$460$	0.0758519	−	0.150467i	0.00353661	−	0.00701557i
$461$	32.7562	+	26.1222i	1.52561	+	1.21663i	0.899522	+	0.436875i	$0.143915\pi$
$461$	32.7562	+	26.1222i	1.52561	+	1.21663i	0.626084	+	0.779756i	$0.284657\pi$
$462$	29.5220	+	14.2171i	1.37349	+	0.661437i
$463$			27.7329i			1.28886i	0.764665	+	0.644428i	$0.222904\pi$
$463$			27.7329i			1.28886i	−0.764665	+	0.644428i	$0.777096\pi$
$464$	1.78020	+	5.08241i	0.0826438	+	0.235945i
$465$	−13.1360	−	28.5919i	−0.609166	−	1.32592i
$466$	8.67798	−	18.0200i	0.402000	−	0.834761i
$467$	−6.77230	+	8.49220i	−0.313385	+	0.392972i	−0.913431	−	0.406993i	$-0.866577\pi$
$467$	−6.77230	+	8.49220i	−0.313385	+	0.392972i	0.600047	+	0.799965i	$0.295149\pi$
$468$	−1.50106	+	1.19706i	−0.0693866	+	0.0553339i
$469$	37.1454	+	17.8883i	1.71522	+	0.826005i
$470$	1.77405	−	2.14368i	0.0818310	−	0.0988807i
$471$	−26.8583	+	33.6793i	−1.23757	+	1.55186i
$472$	1.01503	+	4.44712i	0.0467204	+	0.204695i
$473$	−6.53641	+	1.49189i	−0.300544	+	0.0685973i
$474$	28.1776	−	22.4709i	1.29424	−	1.03212i
$475$	17.2473	−	12.7594i	0.791358	−	0.585443i
$476$		−	26.7435i		−	1.22579i
$477$	−3.08660	−	0.704497i	−0.141326	−	0.0322567i
$478$	4.87533	−	2.34783i	0.222992	−	0.107387i
$479$	1.96590	+	4.08223i	0.0898242	+	0.186522i	0.941041	−	0.338292i	$-0.109849\pi$
$479$	1.96590	+	4.08223i	0.0898242	+	0.186522i	−0.851217	+	0.524814i	$0.824135\pi$
$480$	−1.45021	−	6.93070i	−0.0661929	−	0.316342i
$481$			3.01746i			0.137584i
$482$	2.87053	−	12.5766i	0.130749	−	0.572849i
$483$	0.625720	+	0.784628i	0.0284712	+	0.0357018i
$484$	−1.10064	−	4.82221i	−0.0500290	−	0.219191i
$485$	21.4477	+	27.9182i	0.973889	+	1.26770i
$486$	14.2572	−	17.8779i	0.646718	−	0.810959i
$487$	3.42144	+	7.10469i	0.155040	+	0.321944i	0.963992	−	0.265930i	$-0.0856792\pi$
$487$	3.42144	+	7.10469i	0.155040	+	0.321944i	−0.808952	+	0.587875i	$0.799965\pi$
$488$	−4.11850	+	8.55215i	−0.186436	+	0.387138i
$489$	18.7279	+	23.4840i	0.846903	+	1.06198i
$490$	−5.73898	+	23.1972i	−0.259261	+	1.04794i
$491$	13.7155	−	28.4805i	0.618972	−	1.28531i	−0.321973	−	0.946749i	$-0.604346\pi$
$491$	13.7155	−	28.4805i	0.618972	−	1.28531i	0.940945	−	0.338560i	$-0.109940\pi$
$492$		−	6.97959i		−	0.314664i
$493$	−28.9900	+	18.2283i	−1.30564	+	0.820961i
$494$	−1.17224			−0.0527417
$495$	−0.700951	+	38.6572i	−0.0315054	+	1.73751i
$496$	−3.47423	−	2.77061i	−0.155998	−	0.124404i
$497$	−16.7062	+	13.3227i	−0.749375	+	0.597607i
$498$	8.31332	−	17.2628i	0.372529	−	0.773564i
$499$	3.36723	−	1.62157i	0.150738	−	0.0725917i	−0.356994	−	0.934107i	$-0.616198\pi$
$499$	3.36723	−	1.62157i	0.150738	−	0.0725917i	0.507732	+	0.861515i	$0.330484\pi$
$500$	6.48531	+	9.10718i	0.290032	+	0.407286i
$501$	5.96251	−	1.36090i	0.266385	−	0.0608007i
$502$	−14.6925	+	3.35348i	−0.655760	+	0.149673i
$503$	10.4630	+	13.1202i	0.466521	+	0.584999i	0.958315	−	0.285712i	$-0.0922301\pi$
$503$	10.4630	+	13.1202i	0.466521	+	0.584999i	−0.491794	+	0.870712i	$0.663659\pi$
$504$	28.8139	+	6.57658i	1.28347	+	0.292944i
$505$	−9.52122	−	20.7240i	−0.423689	−	0.922205i
$506$	−0.0412583	+	0.180765i	−0.00183416	+	0.00803597i
$507$	36.8765	−	17.7588i	1.63774	−	0.788696i
$508$	6.74029	−	3.24595i	0.299052	−	0.144016i
$509$	−6.01999	+	26.3753i	−0.266831	+	1.16907i	0.646845	+	0.762622i	$0.276088\pi$
$509$	−6.01999	+	26.3753i	−0.266831	+	1.16907i	−0.913676	+	0.406443i	$0.866769\pi$
$510$	40.9156	−	18.7979i	1.81177	−	0.832384i
$511$	6.77235	+	1.54575i	0.299591	+	0.0683798i
$512$	−0.623490	−	0.781831i	−0.0275546	−	0.0345524i
$513$	53.3516	−	12.1772i	2.35553	−	0.537634i
$514$	−10.1059	+	2.30660i	−0.445751	+	0.101740i
$515$	−29.6080	−	7.32501i	−1.30468	−	0.322779i
$516$	−7.77429	+	3.74390i	−0.342244	+	0.164816i
$517$	−1.32845	+	2.75856i	−0.0584253	+	0.121321i
$518$	36.3161	−	28.9611i	1.59564	−	1.27248i
$519$	−33.9714	−	27.0913i	−1.49118	−	1.18917i
$520$	0.0110752	−	0.610794i	0.000485680	−	0.0267851i
$521$	4.57891			0.200606			0.100303	−	0.994957i	$-0.468019\pi$
$521$	4.57891			0.200606			0.100303	+	0.994957i	$0.468019\pi$
$522$	−12.5105	−	35.7169i	−0.547568	−	1.56329i
$523$		−	11.4382i		−	0.500158i	−0.968225	−	0.250079i	$-0.919543\pi$
$523$		−	11.4382i		−	0.500158i	0.968225	−	0.250079i	$-0.0804565\pi$
$524$	1.75718	−	3.64881i	0.0767626	−	0.159399i
$525$	−65.4125	+	12.4539i	−2.85484	+	0.543533i
$526$	5.39689	+	6.76749i	0.235316	+	0.295077i
$527$	12.2606	−	25.4594i	0.534080	−	1.10903i
$528$	3.38052	+	7.01973i	0.147118	+	0.305495i
$529$	14.3367	−	17.9777i	0.623336	−	0.781638i
$530$	0.798852	−	0.613703i	0.0346999	−	0.0266576i
$531$	−7.13315	−	31.2524i	−0.309552	−	1.35624i
$532$	11.2510	+	14.1083i	0.487793	+	0.611673i
$533$	0.133994	−	0.587065i	0.00580391	−	0.0254286i
$534$			25.7382i			1.11380i
$535$	−30.7417	+	6.43255i	−1.32908	+	0.278103i
$536$	4.25347	+	8.83242i	0.183722	+	0.381502i
$537$	40.5346	−	19.5204i	1.74920	−	0.842369i
$538$	−19.3246	−	4.41070i	−0.833141	−	0.190159i
$539$		−	26.2944i		−	1.13258i
$540$	5.84081	+	27.9137i	0.251348	+	1.20122i
$541$	−35.7205	+	28.4861i	−1.53574	+	1.22471i	−0.650576	+	0.759441i	$0.725473\pi$
$541$	−35.7205	+	28.4861i	−1.53574	+	1.22471i	−0.885167	+	0.465274i	$0.845956\pi$
$542$	−6.15545	+	1.40494i	−0.264399	+	0.0603474i
$543$	4.09942	+	17.9607i	0.175923	+	0.770769i
$544$	3.96480	−	4.97171i	0.169990	−	0.213160i
$545$	1.68916	−	2.04111i	0.0723559	−	0.0874314i
$546$	3.27804	+	1.57862i	0.140287	+	0.0675587i
$547$	0.745568	−	0.594570i	0.0318782	−	0.0254220i	−0.607421	−	0.794380i	$-0.707796\pi$
$547$	0.745568	−	0.594570i	0.0318782	−	0.0254220i	0.639299	+	0.768958i	$0.279224\pi$
$548$	11.2957	−	14.1643i	0.482528	−	0.605070i
$549$	28.9430	−	60.1007i	1.23526	−	2.56503i
$550$	−9.33386	−	8.01395i	−0.397997	−	0.341716i
$551$	7.62478	−	21.8123i	0.324826	−	0.929236i
$552$			0.238630i			0.0101568i
$553$	−43.1250	−	20.7679i	−1.83386	−	0.883141i
$554$	−2.17603	−	1.73533i	−0.0924506	−	0.0737269i
$555$	69.8349	+	35.2044i	2.96433	+	1.49434i
$556$	17.0903	+	8.23028i	0.724792	+	0.349041i
$557$	12.6234	+	26.2128i	0.534870	+	1.11067i	0.976905	+	0.213672i	$0.0685424\pi$
$557$	12.6234	+	26.2128i	0.534870	+	1.11067i	−0.442035	+	0.896998i	$0.645743\pi$
$558$	24.4153	+	19.4706i	1.03358	+	0.824256i
$559$	−0.725784	+	0.165655i	−0.0306974	+	0.00700648i
$560$	−7.45740	+	5.72901i	−0.315133	+	0.242095i
$561$	−38.7361	+	30.8910i	−1.63544	+	1.30422i
$562$	−1.70676	+	7.47782i	−0.0719955	+	0.315433i
$563$	20.5052			0.864191			0.432096	−	0.901828i	$-0.357774\pi$
$563$	20.5052			0.864191			0.432096	+	0.901828i	$0.357774\pi$
$564$	−0.876855	+	3.84175i	−0.0369223	+	0.161767i
$565$	−5.78190	+	6.98657i	−0.243246	+	0.293927i
$566$	−1.81862	−	3.77640i	−0.0764423	−	0.158734i
$567$	−79.1482	−	18.0651i	−3.32391	−	0.758661i
$568$	−5.08088			−0.213189
$569$	42.4630	+	9.69191i	1.78014	+	0.406306i	0.980870	−	0.194662i	$-0.0623610\pi$
$569$	42.4630	+	9.69191i	1.78014	+	0.406306i	0.799273	+	0.600968i	$0.205218\pi$
$570$	−13.6764	+	27.1299i	−0.572843	+	1.13635i
$571$	−2.72854	−	11.9545i	−0.114186	−	0.500280i	−0.999385	−	0.0350681i	$-0.988835\pi$
$571$	−2.72854	−	11.9545i	−0.114186	−	0.500280i	0.885199	−	0.465212i	$-0.154022\pi$
$572$	0.149577	+	0.655340i	0.00625414	+	0.0274012i
$573$	−24.7914	−	19.7705i	−1.03567	−	0.825922i
$574$	−8.35156	+	4.02190i	−0.348587	+	0.167871i
$575$	−0.151068	−	0.345178i	−0.00629997	−	0.0143949i
$576$	4.38161	+	5.49436i	0.182567	+	0.228932i
$577$	10.0453	−	12.5965i	0.418193	−	0.524398i	−0.527458	−	0.849581i	$-0.676855\pi$
$577$	10.0453	−	12.5965i	0.418193	−	0.524398i	0.945651	+	0.325184i	$0.105426\pi$
$578$	21.1165	+	10.1692i	0.878331	+	0.422982i
$579$	−87.5180			−3.63712
$580$	11.2932	+	4.17895i	0.468925	+	0.173521i
$581$	−25.4466			−1.05570
$582$	−44.9193	−	21.6320i	−1.86197	−	0.896676i
$583$	−0.691110	+	0.866624i	−0.0286228	+	0.0358919i
$584$	1.02984	+	1.29138i	0.0426152	+	0.0534378i
$585$	−0.0778315	+	4.29239i	−0.00321794	+	0.177468i
$586$	−14.8543	+	7.15343i	−0.613624	+	0.295506i
$587$	−13.9076	−	11.0910i	−0.574030	−	0.457774i	0.292942	−	0.956130i	$-0.405366\pi$
$587$	−13.9076	−	11.0910i	−0.574030	−	0.457774i	−0.866972	+	0.498357i	$0.833937\pi$
$588$	−7.53041	−	32.9929i	−0.310549	−	1.36060i
$589$	4.24281	+	18.5890i	0.174822	+	0.765945i
$590$	9.10796	+	4.59141i	0.374969	+	0.189025i
$591$	28.1576	+	6.42679i	1.15825	+	0.264363i
$592$	11.0449			0.453941
$593$	23.5015	+	5.36406i	0.965090	+	0.220276i	0.675898	−	0.736995i	$-0.263756\pi$
$593$	23.5015	+	5.36406i	0.965090	+	0.220276i	0.289193	+	0.957271i	$0.406613\pi$
$594$	−13.6152	−	28.2723i	−0.558639	−	1.16003i
$595$	−46.0701	−	38.1263i	−1.88869	−	1.56303i
$596$	1.38663	−	6.07522i	0.0567985	−	0.248851i
$597$	−42.2071			−1.72742
$598$	−0.00458121	+	0.0200716i	−0.000187339	+	0.000820788i
$599$	−6.81248	+	5.43277i	−0.278350	+	0.221977i	−0.752707	−	0.658356i	$-0.771252\pi$
$599$	−6.81248	+	5.43277i	−0.278350	+	0.221977i	0.474357	+	0.880333i	$0.342681\pi$
$600$	−14.0068	−	7.38239i	−0.571823	−	0.301385i
$601$	−20.3981	+	4.65572i	−0.832054	+	0.189911i	−0.617271	−	0.786751i	$-0.711762\pi$
$601$	−20.3981	+	4.65572i	−0.832054	+	0.189911i	−0.214783	+	0.976662i	$0.568905\pi$
$602$	8.95968	+	7.14510i	0.365169	+	0.291213i
$603$	−29.8915	−	62.0703i	−1.21727	−	2.52770i
$604$	−11.9805	−	5.76952i	−0.487481	−	0.234758i
$605$	−9.87616	−	4.97866i	−0.401523	−	0.202411i
$606$	25.2513	+	20.1373i	1.02577	+	0.818020i
$607$	15.8970	+	7.65558i	0.645238	+	0.310730i	0.727732	−	0.685861i	$-0.240574\pi$
$607$	15.8970	+	7.65558i	0.645238	+	0.310730i	−0.0824940	+	0.996592i	$0.526289\pi$
$608$			4.29078i			0.174014i
$609$	−50.6956	+	50.7275i	−2.05429	+	2.05558i
$610$	8.86104	+	19.2870i	0.358773	+	0.780908i
$611$	−0.147507	+	0.306302i	−0.00596751	+	0.0123917i
$612$	−27.8629	+	34.9389i	−1.12629	+	1.41232i
$613$	7.53325	−	6.00757i	0.304265	−	0.242643i	−0.459440	−	0.888209i	$-0.651950\pi$
$613$	7.53325	−	6.00757i	0.304265	−	0.242643i	0.763705	+	0.645566i	$0.223378\pi$
$614$	−2.61493	−	1.25928i	−0.105530	−	0.0508206i
$615$	−12.0235	−	9.95032i	−0.484834	−	0.401235i
$616$	6.45161	−	8.09006i	0.259943	−	0.325958i
$617$	−1.23538	−	5.41254i	−0.0497344	−	0.217901i	0.943954	−	0.330077i	$-0.107075\pi$
$617$	−1.23538	−	5.41254i	−0.0497344	−	0.217901i	−0.993688	+	0.112177i	$0.964218\pi$
$618$	42.1108	−	9.61153i	1.69395	−	0.386632i
$619$	0.274802	−	0.219147i	0.0110452	−	0.00880827i	−0.617952	−	0.786216i	$-0.712037\pi$
$619$	0.274802	−	0.219147i	0.0110452	−	0.00880827i	0.628997	+	0.777408i	$0.283466\pi$
$620$	−9.72581	+	2.03508i	−0.390598	+	0.0817306i
$621$		−	0.961094i		−	0.0385674i
$622$	18.0763	+	4.12581i	0.724795	+	0.165430i
$623$	30.7976	−	14.8313i	1.23388	−	0.594205i
$624$	0.375363	+	0.779450i	0.0150266	+	0.0312030i
$625$	24.9343	+	1.81146i	0.997371	+	0.0724584i
$626$			15.2844i			0.610886i
$627$	7.43906	−	32.5927i	0.297088	−	1.30163i
$628$	8.48167	+	10.6357i	0.338456	+	0.424410i
$629$	15.6287	+	68.4740i	0.623159	+	2.73024i
$630$	52.4072	−	40.2609i	2.08795	−	1.60403i
$631$	21.1168	−	26.4796i	0.840647	−	1.05414i	−0.157135	−	0.987577i	$-0.550226\pi$
$631$	21.1168	−	26.4796i	0.840647	−	1.05414i	0.997782	−	0.0665611i	$-0.0212027\pi$
$632$	−4.93818	−	10.2542i	−0.196430	−	0.407892i
$633$	16.3254	−	33.9001i	0.648878	−	1.34741i
$634$	−4.19501	−	5.26038i	−0.166605	−	0.208916i
$635$	4.01747	−	16.2388i	0.159429	−	0.644417i
$636$	−0.618978	+	1.28532i	−0.0245441	+	0.0509663i
$637$		−	2.91966i		−	0.115681i
$638$	−13.1670	−	1.47938i	−0.521288	−	0.0585694i
$639$	35.7061			1.41251
$640$	−2.23570	−	0.0405388i	−0.0883738	−	0.00160244i
$641$	38.7277	+	30.8843i	1.52965	+	1.21986i	0.894157	+	0.447753i	$0.147776\pi$
$641$	38.7277	+	30.8843i	1.52965	+	1.21986i	0.635495	+	0.772105i	$0.280796\pi$
$642$	34.7743	−	27.7316i	1.37243	−	1.09448i
$643$	−19.2576	+	39.9889i	−0.759447	+	1.57701i	0.0561739	+	0.998421i	$0.482110\pi$
$643$	−19.2576	+	39.9889i	−0.759447	+	1.57701i	−0.815621	+	0.578587i	$0.803604\pi$
$644$	0.285537	−	0.137508i	0.0112518	−	0.00541856i
$645$	−4.63378	+	18.7299i	−0.182455	+	0.737490i
$646$	−26.6012	+	6.07156i	−1.04661	+	0.238882i
$647$	−10.6726	+	2.43595i	−0.419583	+	0.0957672i	−0.427100	−	0.904205i	$-0.640465\pi$
$647$	−10.6726	+	2.43595i	−0.419583	+	0.0957672i	0.00751619	+	0.999972i	$0.497607\pi$
$648$	−12.0357	−	15.0923i	−0.472808	−	0.592882i
$649$	−10.9419	−	2.49742i	−0.429507	−	0.0980321i
$650$	−1.03640	−	0.889846i	−0.0406511	−	0.0349026i
$651$	13.1686	−	57.6954i	0.516118	−	2.26126i
$652$	8.54616	−	4.11561i	0.334694	−	0.161180i
$653$	30.5175	−	14.6965i	1.19424	−	0.575117i	0.272213	−	0.962237i	$-0.412244\pi$
$653$	30.5175	−	14.6965i	1.19424	−	0.575117i	0.922029	+	0.387120i	$0.126530\pi$
$654$	−0.834898	+	3.65792i	−0.0326471	+	0.143036i
$655$	−3.78060	−	8.22889i	−0.147720	−	0.321529i
$656$	−2.14884	−	0.490460i	−0.0838983	−	0.0191492i
$657$	−7.23727	−	9.07525i	−0.282353	−	0.354059i
$658$	5.10220	−	1.16454i	0.198904	−	0.0453987i
$659$	17.2860	−	3.94541i	0.673366	−	0.153691i	0.127852	−	0.991793i	$-0.459192\pi$
$659$	17.2860	−	3.94541i	0.673366	−	0.153691i	0.545514	+	0.838102i	$0.316335\pi$
$660$	16.9120	+	4.18403i	0.658300	+	0.162863i
$661$	8.80890	−	4.24214i	0.342627	−	0.165000i	−0.254655	−	0.967032i	$-0.581962\pi$
$661$	8.80890	−	4.24214i	0.342627	−	0.165000i	0.597281	+	0.802032i	$0.296248\pi$
$662$	−12.8163	+	26.6132i	−0.498118	+	1.03435i
$663$	−4.30115	+	3.43005i	−0.167043	+	0.133212i
$664$	−4.73061	−	3.77253i	−0.183583	−	0.146403i
$665$	40.3437	+	0.731531i	1.56446	+	0.0283676i
$666$	−77.6184			−3.00765
$667$	−0.343680	−	0.215798i	−0.0133073	−	0.00835574i
$668$		−	1.93134i		−	0.0747258i
$669$	26.7698	−	55.5881i	1.03498	−	2.14916i
$670$	21.2792	+	5.26447i	0.822087	+	0.203384i
$671$	−14.5616	−	18.2596i	−0.562143	−	0.704905i
$672$	5.77825	−	11.9987i	0.222901	−	0.462858i
$673$	4.42926	+	9.19746i	0.170736	+	0.354536i	0.968726	−	0.248135i	$-0.0798176\pi$
$673$	4.42926	+	9.19746i	0.170736	+	0.354536i	−0.797990	+	0.602671i	$0.794103\pi$
$674$	3.30195	−	4.14051i	0.127186	−	0.159487i
$675$	56.4129	+	29.7329i	2.17133	+	1.14442i
$676$	−2.87616	−	12.6013i	−0.110622	−	0.484665i
$677$	4.81812	+	6.04173i	0.185176	+	0.232203i	0.865751	−	0.500476i	$-0.166841\pi$
$677$	4.81812	+	6.04173i	0.185176	+	0.232203i	−0.680575	+	0.732678i	$0.738270\pi$
$678$	2.85780	−	12.5208i	0.109753	−	0.480860i
$679$			66.2143i			2.54107i
$680$	−2.91224	−	13.9179i	−0.111679	−	0.533725i
$681$	18.0658	+	37.5141i	0.692284	+	1.43754i
$682$	9.85074	−	4.74387i	0.377204	−	0.181652i
$683$	−0.920043	−	0.209994i	−0.0352045	−	0.00803519i	0.204882	−	0.978787i	$-0.434319\pi$
$683$	−0.920043	−	0.209994i	−0.0352045	−	0.00803519i	−0.240087	+	0.970751i	$0.577176\pi$
$684$		−	30.1537i		−	1.15296i
$685$	−8.29694	−	39.6518i	−0.317010	−	1.51502i
$686$	−12.1226	+	9.66747i	−0.462844	+	0.369106i
$687$	−7.17838	+	1.63842i	−0.273872	+	0.0625095i
$688$	0.606352	+	2.65660i	0.0231169	+	0.101282i
$689$	−0.0767388	+	0.0962274i	−0.00292351	+	0.00366597i
$690$	0.411080	+	0.340198i	0.0156495	+	0.0129511i
$691$	−23.8545	−	11.4877i	−0.907469	−	0.437014i	−0.0788881	−	0.996883i	$-0.525137\pi$
$691$	−23.8545	−	11.4877i	−0.907469	−	0.437014i	−0.828581	+	0.559869i	$0.810851\pi$
$692$	−10.7279	+	8.55523i	−0.407814	+	0.325221i
$693$	−45.3390	+	56.8533i	−1.72229	+	2.15968i
$694$	6.54046	−	13.5814i	0.248272	−	0.515543i
$695$	38.5425	−	17.7076i	1.46200	−	0.671688i
$696$	−16.9450	+	1.91463i	−0.642299	+	0.0725738i
$697$		−	14.0160i		−	0.530895i
$698$	−23.1008	−	11.1248i	−0.874379	−	0.421079i
$699$	49.5172	+	39.4886i	1.87291	+	1.49360i
$700$	−0.762324	+	21.0141i	−0.0288131	+	0.794257i
$701$	−17.4764	−	8.41620i	−0.660075	−	0.317875i	0.0736875	−	0.997281i	$-0.476523\pi$
$701$	−17.4764	−	8.41620i	−0.660075	−	0.317875i	−0.733763	+	0.679406i	$0.762238\pi$
$702$	−1.51179	−	3.13927i	−0.0570590	−	0.118484i
$703$	−37.0519	−	29.5479i	−1.39744	−	1.11442i
$704$	2.39875	−	0.547500i	0.0904064	−	0.0206347i
$705$	5.36798	+	6.98745i	0.202170	+	0.263163i
$706$	1.25842	−	1.00355i	0.0473611	−	0.0377692i
$707$	9.54487	−	41.8188i	0.358972	−	1.57276i
$708$	−14.4446			−0.542860
$709$	8.99487	−	39.4091i	0.337809	−	1.48004i	−0.465804	−	0.884888i	$-0.654235\pi$
$709$	8.99487	−	39.4091i	0.337809	−	1.48004i	0.803613	−	0.595152i	$-0.202908\pi$
$710$	−7.24346	+	8.75265i	−0.271842	+	0.328481i
$711$	34.7033	+	72.0622i	1.30148	+	2.70254i
$712$	7.92417	+	1.80864i	0.296971	+	0.0677816i
$713$	0.334868			0.0125409
$714$	82.5634	+	18.8446i	3.08986	+	0.705240i
$715$	1.34217	+	0.676602i	0.0501945	+	0.0253035i
$716$	−3.16147	−	13.8513i	−0.118150	−	0.517648i
$717$	3.81296	+	16.7057i	0.142398	+	0.623885i
$718$	−25.9164	−	20.6676i	−0.967192	−	0.771310i
$719$	15.4087	−	7.42046i	0.574649	−	0.276736i	−0.123905	−	0.992294i	$-0.539542\pi$
$719$	15.4087	−	7.42046i	0.574649	−	0.276736i	0.698554	+	0.715558i	$0.253827\pi$
$720$	15.7115	+	0.284888i	0.585533	+	0.0106172i
$721$	−35.7667	−	44.8500i	−1.33202	−	1.67030i
$722$	−0.367341	+	0.460631i	−0.0136710	+	0.0171429i
$723$	36.8043	+	17.7240i	1.36877	+	0.659163i
$724$	5.81774			0.216215
$725$	23.2989	−	13.4968i	0.865298	−	0.501258i
$726$	15.6629			0.581303
$727$	16.3261	+	7.86223i	0.605501	+	0.291594i	0.711405	−	0.702782i	$-0.248059\pi$
$727$	16.3261	+	7.86223i	0.605501	+	0.291594i	−0.105904	+	0.994376i	$0.533774\pi$
$728$	0.716368	−	0.898297i	0.0265504	−	0.0332931i
$729$	9.04001	+	11.3358i	0.334815	+	0.419845i
$730$	3.69280	+	0.0669595i	0.136677	+	0.00247828i
$731$	−15.6119	+	7.51830i	−0.577427	+	0.278074i
$732$	−23.5004	−	18.7410i	−0.868602	−	0.692687i
$733$	−5.12819	−	22.4681i	−0.189414	−	0.829877i	−0.976926	−	0.213578i	$-0.931488\pi$
$733$	−5.12819	−	22.4681i	−0.189414	−	0.829877i	0.787512	−	0.616299i	$-0.211369\pi$
$734$	−3.44153	−	15.0783i	−0.127029	−	0.556552i
$735$	−67.5713	−	34.0633i	−2.49241	−	1.25644i
$736$	0.0734683	+	0.0167687i	0.00270808	+	0.000618101i
$737$	−24.1203			−0.888484
$738$	15.1011	+	3.44673i	0.555879	+	0.126876i
$739$	15.6110	+	32.4166i	0.574261	+	1.19246i	0.962595	+	0.270946i	$0.0873365\pi$
$739$	15.6110	+	32.4166i	0.574261	+	1.19246i	−0.388334	+	0.921519i	$0.626949\pi$
$740$	15.7459	−	19.0266i	0.578831	−	0.699433i
$741$	0.826012	−	3.61899i	0.0303443	−	0.132947i
$742$	1.89465			0.0695549
$743$	−11.7445	+	51.4562i	−0.430865	+	1.88774i	0.0286801	+	0.999589i	$0.490870\pi$
$743$	−11.7445	+	51.4562i	−0.430865	+	1.88774i	−0.459545	+	0.888154i	$0.651988\pi$
$744$	11.0016	−	8.77349i	0.403339	−	0.321652i
$745$	−8.48875	−	11.0497i	−0.311004	−	0.404830i
$746$	6.27356	−	1.43190i	0.229691	−	0.0524255i
$747$	33.2446	+	26.5117i	1.21636	+	0.970011i
$748$	6.78858	+	14.0966i	0.248215	+	0.515424i
$749$	−53.2211	−	25.6299i	−1.94466	−	0.936497i
$750$	−32.6858	+	13.6044i	−1.19352	+	0.496762i
$751$	9.30480	+	7.42033i	0.339537	+	0.270772i	0.778382	−	0.627791i	$-0.216041\pi$
$751$	9.30480	+	7.42033i	0.339537	+	0.270772i	−0.438845	+	0.898563i	$0.644612\pi$
$752$	1.12116	+	0.539924i	0.0408847	+	0.0196890i
$753$		−	47.7224i		−	1.73910i
$754$	−1.46203	−	0.164267i	−0.0532440	−	0.00598224i
$755$	−27.0188	+	12.4132i	−0.983313	+	0.451764i
$756$	−23.2722	+	48.3252i	−0.846401	+	1.75757i
$757$	−21.7089	+	27.2221i	−0.789023	+	0.989404i	0.210906	+	0.977506i	$0.432359\pi$
$757$	−21.7089	+	27.2221i	−0.789023	+	0.989404i	−0.999929	+	0.0118973i	$0.996213\pi$
$758$	−15.2324	+	12.1474i	−0.553266	+	0.441215i
$759$	−0.528991	−	0.254749i	−0.0192012	−	0.00924679i
$760$	7.39159	+	6.11707i	0.268121	+	0.221890i
$761$	12.4860	−	15.6570i	0.452619	−	0.567566i	−0.502201	−	0.864751i	$-0.667476\pi$
$761$	12.4860	−	15.6570i	0.452619	−	0.567566i	0.954820	+	0.297185i	$0.0960478\pi$
$762$	5.27153	+	23.0961i	0.190968	+	0.836683i
$763$	4.85806	−	1.10882i	0.175874	−	0.0401420i
$764$	−7.82894	+	6.24337i	−0.283241	+	0.225877i
$765$	20.4659	+	97.8084i	0.739947	+	3.53627i
$766$		−	19.5812i		−	0.707497i
$767$	−1.21496	−	0.277306i	−0.0438695	−	0.0100129i
$768$	2.85304	−	1.37395i	0.102950	−	0.0495781i
$769$	−1.06676	−	2.21516i	−0.0384685	−	0.0798806i	0.880849	−	0.473398i	$-0.156973\pi$
$769$	−1.06676	−	2.21516i	−0.0384685	−	0.0798806i	−0.919317	+	0.393517i	$0.871258\pi$
$770$	−4.73886	−	22.6474i	−0.170777	−	0.816156i
$771$		−	32.8245i		−	1.18215i
$772$	−6.14994	+	26.9446i	−0.221341	+	0.969759i
$773$	26.7636	+	33.5605i	0.962619	+	1.20709i	0.978297	+	0.207208i	$0.0664378\pi$
$773$	26.7636	+	33.5605i	0.962619	+	1.20709i	−0.0156782	+	0.999877i	$0.504991\pi$
$774$	−4.26117	−	18.6694i	−0.153164	−	0.671057i
$775$	−10.3597	+	19.6556i	−0.372130	+	0.706049i
$776$	−9.81647	+	12.3095i	−0.352391	+	0.441884i
$777$	63.8200	+	132.524i	2.28953	+	4.75426i
$778$	11.2782	−	23.4193i	0.404342	−	0.839624i
$779$	5.89656	+	7.39405i	0.211266	+	0.264919i
$780$	1.87786	+	0.464583i	0.0672382	+	0.0166347i
$781$	5.42407	−	11.2632i	0.194088	−	0.403029i
$782$			0.479204i			0.0171363i
$783$	68.2468	−	7.71126i	2.43894	−	0.275578i
$784$	−10.6869			−0.381674
$785$	30.4135	+	0.551471i	1.08550	+	0.0196828i
$786$	10.0266	+	7.99592i	0.357636	+	0.285205i
$787$	−27.3583	+	21.8176i	−0.975220	+	0.777712i	−0.974981	−	0.222288i	$-0.928647\pi$
$787$	−27.3583	+	21.8176i	−0.975220	+	0.777712i	−0.000238626		1.00000i	$0.500076\pi$
$788$	3.95730	−	8.21742i	0.140973	−	0.292733i
$789$	−24.6957	+	11.8928i	−0.879191	+	0.423396i
$790$	−24.7047	−	6.11193i	−0.878952	−	0.217453i
$791$	−16.6288	+	3.79542i	−0.591253	+	0.134950i
$792$	−16.8574	+	3.84758i	−0.599000	+	0.136718i
$793$	−1.61687	−	2.02750i	−0.0574169	−	0.0719985i
$794$	15.7441	+	3.59348i	0.558736	+	0.127528i
$795$	1.33174	+	2.89868i	0.0472321	+	0.102806i
$796$	−2.96592	+	12.9945i	−0.105124	+	0.460579i
$797$	16.1415	−	7.77332i	0.571760	−	0.275345i	−0.125583	−	0.992083i	$-0.540080\pi$
$797$	16.1415	−	7.77332i	0.571760	−	0.275345i	0.697342	+	0.716738i	$0.254366\pi$
$798$	−51.4837	+	24.7932i	−1.82250	+	0.877671i
$799$	−1.76085	+	7.71480i	−0.0622945	+	0.272930i
$800$	−3.25712	+	3.79357i	−0.115157	+	0.134123i
$801$	−55.6875	−	12.7103i	−1.96762	−	0.449097i
$802$	−5.67239	−	7.11295i	−0.200299	−	0.251167i
$803$	−3.96212	+	0.904328i	−0.139820	+	0.0319130i
$804$	−30.2649	+	6.90778i	−1.06736	+	0.243618i
$805$	0.170191	−	0.687921i	0.00599846	−	0.0242460i
$806$	1.09380	−	0.526745i	0.0385274	−	0.0185538i
$807$	27.2338	−	56.5515i	0.958674	−	1.99071i
$808$	7.97419	−	6.35921i	0.280531	−	0.223716i
$809$	−0.111269	−	0.0887339i	−0.00391200	−	0.00311972i	0.621532	−	0.783389i	$-0.286511\pi$
$809$	−0.111269	−	0.0887339i	−0.00391200	−	0.00311972i	−0.625444	+	0.780269i	$0.715082\pi$
$810$	−43.1575	−	0.782552i	−1.51640	−	0.0274961i
$811$	−36.0232			−1.26494			−0.632472	−	0.774583i	$-0.717960\pi$
$811$	−36.0232			−1.26494			−0.632472	+	0.774583i	$0.717960\pi$
$812$	12.0553	+	19.1726i	0.423059	+	0.672826i
$813$		−	19.9933i		−	0.701196i
$814$	−11.7909	+	24.4841i	−0.413271	+	0.858166i
$815$	5.09385	−	20.5895i	0.178430	−	0.721220i
$816$	12.5551	+	15.7436i	0.439515	+	0.551135i
$817$	5.07299	−	10.5342i	0.177481	−	0.368544i
$818$	5.44392	+	11.3044i	0.190342	+	0.395250i
$819$	−5.03431	+	6.31283i	−0.175913	+	0.220588i
$820$	−3.90836	+	3.00252i	−0.136486	+	0.104853i
$821$	8.31822	+	36.4445i	0.290308	+	1.27192i	0.884098	+	0.467302i	$0.154774\pi$
$821$	8.31822	+	36.4445i	0.290308	+	1.27192i	−0.593790	+	0.804620i	$0.702369\pi$
$822$	35.7692	+	44.8532i	1.24760	+	1.56444i
$823$	8.52328	−	37.3429i	0.297103	−	1.30169i	−0.577316	−	0.816521i	$-0.695900\pi$
$823$	8.52328	−	37.3429i	0.297103	−	1.30169i	0.874419	−	0.485172i	$-0.161243\pi$
$824$		−	13.6403i		−	0.475183i
$825$	31.3180	−	23.1689i	1.09035	−	0.806637i
$826$	8.32349	+	17.2839i	0.289611	+	0.601384i
$827$	19.1804	−	9.23678i	0.666967	−	0.321194i	−0.0695844	−	0.997576i	$-0.522167\pi$
$827$	19.1804	−	9.23678i	0.666967	−	0.321194i	0.736551	+	0.676382i	$0.236453\pi$
$828$	−0.516302	−	0.117843i	−0.0179427	−	0.00409532i
$829$			35.2569i			1.22452i	0.790655	+	0.612262i	$0.209740\pi$
$829$			35.2569i			1.22452i	−0.790655	+	0.612262i	$0.790260\pi$
$830$	−13.2429	+	2.77101i	−0.459668	+	0.0961833i
$831$	6.89068	−	5.49513i	0.239035	−	0.190624i
$832$	0.266351	−	0.0607928i	0.00923405	−	0.00210761i
$833$	−15.1222	−	66.2545i	−0.523952	−	2.29558i
$834$	−37.4514	+	46.9625i	−1.29684	+	1.62618i
$835$	−3.32705	−	2.75338i	−0.115137	−	0.0952846i
$836$	−9.51173	−	4.58061i	−0.328970	−	0.158424i
$837$	−44.3095	+	35.3357i	−1.53156	+	1.22138i
$838$	−3.74551	+	4.69672i	−0.129386	+	0.162245i
$839$	4.61961	−	9.59271i	0.159487	−	0.331177i	−0.805878	−	0.592081i	$-0.798306\pi$
$839$	4.61961	−	9.59271i	0.159487	−	0.331177i	0.965365	+	0.260904i	$0.0840207\pi$
$840$	−12.4320	−	27.0597i	−0.428946	−	0.933647i
$841$	12.5662	−	26.1360i	0.433318	−	0.901241i
$842$		−	29.6257i		−	1.02097i
$843$	−21.8831	−	10.5384i	−0.753695	−	0.362960i
$844$	−9.28982	−	7.40839i	−0.319769	−	0.255007i
$845$	−25.8082	−	13.0101i	−0.887828	−	0.447562i
$846$	−7.87904	−	3.79434i	−0.270887	−	0.130452i
$847$	−9.02553	−	18.7417i	−0.310121	−	0.643972i
$848$	0.352223	+	0.280888i	0.0120954	+	0.00964574i
$849$	12.9401	−	2.95350i	0.444104	−	0.101364i
$850$	−28.1276	−	14.8249i	−0.964768	−	0.508490i
$851$	−0.650731	+	0.518941i	−0.0223068	+	0.0177891i
$852$	3.58020	−	15.6859i	0.122656	−	0.537389i
$853$	29.8569			1.02228			0.511140	−	0.859498i	$-0.329223\pi$
$853$	29.8569			1.02228			0.511140	+	0.859498i	$0.329223\pi$
$854$	−8.88305	+	38.9192i	−0.303972	+	1.33179i
$855$	−51.9447	−	42.9880i	−1.77647	−	1.47016i
$856$	−6.09427	−	12.6549i	−0.208298	−	0.432535i
$857$	−23.0828	−	5.26849i	−0.788493	−	0.179968i	−0.190731	−	0.981642i	$-0.561086\pi$
$857$	−23.0828	−	5.26849i	−0.788493	−	0.179968i	−0.597762	+	0.801674i	$0.703943\pi$
$858$	−2.12859			−0.0726688
$859$	−44.2900	−	10.1089i	−1.51116	−	0.344911i	−0.614955	−	0.788562i	$-0.710826\pi$
$859$	−44.2900	−	10.1089i	−1.51116	−	0.344911i	−0.896200	+	0.443651i	$0.853683\pi$
$860$	5.44087	+	2.74279i	0.185532	+	0.0935284i
$861$	−6.53170	−	28.6172i	−0.222600	−	0.975273i
$862$	0.317614	+	1.39156i	0.0108180	+	0.0473967i
$863$	12.5146	+	9.98005i	0.426002	+	0.339725i	0.812906	−	0.582395i	$-0.197884\pi$
$863$	12.5146	+	9.98005i	0.426002	+	0.339725i	−0.386904	+	0.922120i	$0.626456\pi$
$864$	−11.4907	+	5.53365i	−0.390923	+	0.188259i
$865$	−0.556254	+	30.6772i	−0.0189132	+	1.04306i
$866$	−13.0038	−	16.3063i	−0.441887	−	0.554109i
$867$	−46.2742	+	58.0260i	−1.57155	+	1.97067i
$868$	−16.8376	−	8.10858i	−0.571507	−	0.275223i
$869$	28.0032			0.949942
$870$	−20.8591	+	31.9201i	−0.707188	+	1.08219i
$871$	−2.67825			−0.0907491
$872$	1.06752	+	0.514089i	0.0361507	+	0.0174092i
$873$	68.9857	−	86.5054i	2.33481	−	2.92776i
$874$	−0.201602	−	0.252800i	−0.00681927	−	0.00855110i
$875$	35.1134	+	31.2715i	1.18705	+	1.05717i
$876$	−4.71247	+	2.26941i	−0.159220	+	0.0766762i
$877$	−5.11252	−	4.07710i	−0.172638	−	0.137674i	0.533359	−	0.845889i	$-0.320929\pi$
$877$	−5.11252	−	4.07710i	−0.172638	−	0.137674i	−0.705997	+	0.708215i	$0.749501\pi$
$878$	−2.27731	−	9.97757i	−0.0768556	−	0.336727i
$879$	−11.6174	−	50.8992i	−0.391845	−	1.71679i
$880$	2.47658	−	4.91278i	0.0834854	−	0.165610i
$881$	−17.9166	−	4.08934i	−0.603625	−	0.137773i	−0.0902227	−	0.995922i	$-0.528758\pi$
$881$	−17.9166	−	4.08934i	−0.603625	−	0.137773i	−0.513402	+	0.858148i	$0.671615\pi$
$882$	75.1025			2.52883
$883$	24.5787	+	5.60994i	0.827140	+	0.188789i	0.615078	−	0.788467i	$-0.289125\pi$
$883$	24.5787	+	5.60994i	0.827140	+	0.188789i	0.212063	+	0.977256i	$0.431982\pi$
$884$	0.753784	+	1.56525i	0.0253525	+	0.0526450i
$885$	−20.5926	+	24.8831i	−0.692213	+	0.836437i
$886$	0.895671	−	3.92419i	0.0300907	−	0.131836i
$887$	−28.8787			−0.969653			−0.484826	−	0.874610i	$-0.661117\pi$
$887$	−28.8787			−0.969653			−0.484826	+	0.874610i	$0.661117\pi$
$888$	−7.78268	+	34.0981i	−0.261170	+	1.14426i
$889$	24.5984	−	19.6166i	0.825005	−	0.657919i
$890$	14.4126	−	11.0722i	0.483112	−	0.371142i
$891$	46.3051	−	10.5688i	1.55128	−	0.354069i
$892$	−15.2331	−	12.1480i	−0.510041	−	0.406744i
$893$	−2.31670	−	4.81067i	−0.0775254	−	0.160983i
$894$	17.7786	+	8.56170i	0.594604	+	0.286346i
$895$	−28.3683	−	14.3007i	−0.948247	−	0.478020i
$896$	−3.28805	−	2.62213i	−0.109846	−	0.0875993i
$897$	−0.0587376	−	0.0282865i	−0.00196119	−	0.000944460i
$898$			19.5535i			0.652510i
$899$	2.68679	+	23.7788i	0.0896093	+	0.793068i
$900$	22.8896	−	26.6595i	0.762985	−	0.888650i
$901$	−1.24300	+	2.58111i	−0.0414102	+	0.0859892i
$902$	3.38123	−	4.23993i	0.112583	−	0.141174i
$903$	−28.3720	+	22.6259i	−0.944160	+	0.752943i
$904$	−3.65404	−	1.75969i	−0.121532	−	0.0585265i
$905$	8.29395	−	10.0220i	0.275700	−	0.333143i
$906$	26.2538	−	32.9213i	0.872226	−	1.09374i
$907$	−10.9703	−	48.0640i	−0.364263	−	1.59594i	−0.742246	−	0.670127i	$-0.766240\pi$
$907$	−10.9703	−	48.0640i	−0.364263	−	1.59594i	0.377984	−	0.925812i	$-0.376618\pi$
$908$	12.8192	−	2.92589i	0.425419	−	0.0970990i
$909$	−56.0390	+	44.6896i	−1.85870	+	1.48226i
$910$	−0.526189	−	2.51470i	−0.0174430	−	0.0833616i
$911$		−	29.2120i		−	0.967838i	−0.875113	−	0.483919i	$-0.839213\pi$
$911$		−	29.2120i		−	0.967838i	0.875113	−	0.483919i	$-0.160787\pi$
$912$	−13.2467	−	3.02347i	−0.438641	−	0.100117i
$913$	13.4130	−	6.45937i	0.443907	−	0.213774i
$914$	−1.30028	−	2.70007i	−0.0430096	−	0.0893104i
$915$	−65.7874	+	13.7657i	−2.17486	+	0.455080i
$916$			2.32518i			0.0768261i
$917$	3.78999	−	16.6050i	0.125157	−	0.548347i
$918$	−50.5662	−	63.4080i	−1.66893	−	2.09277i
$919$	0.565060	+	2.47569i	0.0186396	+	0.0816654i	0.983392	−	0.181493i	$-0.0580930\pi$
$919$	0.565060	+	2.47569i	0.0186396	+	0.0816654i	−0.964753	+	0.263158i	$0.915236\pi$
$920$	0.133626	−	0.102655i	0.00440550	−	0.00338445i
$921$	5.73030	−	7.18557i	0.188820	−	0.236773i
$922$	18.1783	+	37.7476i	0.598670	+	1.24315i
$923$	0.602273	−	1.25063i	0.0198241	−	0.0411651i
$924$	20.4299	+	25.6182i	0.672093	+	0.842778i
$925$	−10.3286	−	54.2499i	−0.339604	−	1.78373i
$926$	−12.0328	+	24.9864i	−0.395424	+	0.821105i
$927$			95.8579i			3.14839i
$928$	−0.601268	+	5.35149i	−0.0197376	+	0.175671i
$929$	38.8135			1.27343			0.636714	−	0.771100i	$-0.280293\pi$
$929$	38.8135			1.27343			0.636714	+	0.771100i	$0.280293\pi$
$930$	0.570445	−	31.4599i	0.0187056	−	1.03161i
$931$	35.8509	+	28.5902i	1.17497	+	0.937005i
$932$	15.6372	−	12.4702i	0.512213	−	0.408476i
$933$	−25.4747	+	52.8987i	−0.834003	+	1.73183i
$934$	−9.78626	+	4.71281i	−0.320216	+	0.154208i
$935$	33.9618	+	8.40214i	1.11067	+	0.274779i
$936$	−1.87179	+	0.427224i	−0.0611814	+	0.0139643i
$937$	−47.0512	+	10.7391i	−1.53709	+	0.350832i	−0.905459	−	0.424434i	$-0.860473\pi$
$937$	−47.0512	+	10.7391i	−1.53709	+	0.350832i	−0.631636	+	0.775265i	$0.717616\pi$
$938$	25.7054	+	32.2336i	0.839312	+	1.05246i
$939$	−47.1864	−	10.7700i	−1.53987	−	0.351466i
$940$	2.52848	−	1.16166i	0.0824698	−	0.0378891i
$941$	−8.62440	+	37.7860i	−0.281147	+	1.23179i	0.615177	+	0.788389i	$0.289084\pi$
$941$	−8.62440	+	37.7860i	−0.281147	+	1.23179i	−0.896325	+	0.443398i	$0.853773\pi$
$942$	−38.8114	+	18.6906i	−1.26454	+	0.608972i
$943$	0.149648	−	0.0720665i	0.00487320	−	0.00234681i
$944$	−1.01503	+	4.44712i	−0.0330363	+	0.144742i
$945$	50.0706	+	108.984i	1.62880	+	3.54525i
$946$	−6.53641	−	1.49189i	−0.212517	−	0.0485056i
$947$	−18.5030	−	23.2020i	−0.601265	−	0.753963i	0.384309	−	0.923204i	$-0.374440\pi$
$947$	−18.5030	−	23.2020i	−0.601265	−	0.753963i	−0.985575	+	0.169241i	$0.945868\pi$
$948$	35.1369	−	8.01977i	1.14119	−	0.260470i
$949$	−0.439942	+	0.100414i	−0.0142811	+	0.00325957i
$950$	21.0753	−	4.01254i	0.683775	−	0.130184i
$951$	19.1960	−	9.24431i	0.622473	−	0.299767i
$952$	11.6036	−	24.0950i	0.376074	−	0.780925i
$953$	−16.8548	+	13.4413i	−0.545982	+	0.435406i	−0.857238	−	0.514920i	$-0.827822\pi$
$953$	−16.8548	+	13.4413i	−0.545982	+	0.435406i	0.311257	+	0.950326i	$0.399250\pi$
$954$	−2.47526	−	1.97396i	−0.0801396	−	0.0639092i
$955$	−0.405939	+	22.3874i	−0.0131359	+	0.724439i
$956$	5.41120			0.175011
$957$	13.8453	−	39.6073i	0.447554	−	1.28032i
$958$			4.53093i			0.146388i
$959$	33.0584	−	68.6465i	1.06751	−	2.21671i
$960$	1.70052	−	6.87357i	0.0548841	−	0.221844i
$961$	7.01640	+	8.79829i	0.226335	+	0.283816i
$962$	−1.30923	+	2.71864i	−0.0422112	+	0.0876525i
$963$	42.8278	+	88.9328i	1.38011	+	2.86582i
$964$	8.04305	−	10.0857i	0.259049	−	0.324837i
$965$	37.6491	+	49.0074i	1.21197	+	1.57760i
$966$	0.223317	+	0.978415i	0.00718510	+	0.0314800i
$967$	−10.7710	−	13.5064i	−0.346373	−	0.434338i	0.577878	−	0.816123i	$-0.303881\pi$
$967$	−10.7710	−	13.5064i	−0.346373	−	0.434338i	−0.924251	+	0.381785i	$0.875309\pi$
$968$	1.10064	−	4.82221i	0.0353758	−	0.154992i
$969$		−	86.4025i		−	2.77565i
$970$	7.21043	+	34.4593i	0.231513	+	1.10642i
$971$	−3.61548	−	7.50762i	−0.116026	−	0.240931i	0.834866	−	0.550453i	$-0.185545\pi$
$971$	−3.61548	−	7.50762i	−0.116026	−	0.240931i	−0.950892	+	0.309522i	$0.899831\pi$
$972$	20.6022	−	9.92150i	0.660816	−	0.318232i
$973$	77.7748	+	17.7516i	2.49335	+	0.569090i
$974$			7.88561i			0.252671i
$975$	3.47746	−	2.57260i	0.111368	−	0.0823893i
$976$	−7.42128	+	5.91827i	−0.237549	+	0.189439i
$977$	−55.7665	+	12.7283i	−1.78413	+	0.407215i	−0.981838	−	0.189721i	$-0.939242\pi$
$977$	−55.7665	+	12.7283i	−1.78413	+	0.407215i	−0.802289	+	0.596936i	$0.796385\pi$
$978$	6.68389	+	29.2841i	0.213727	+	0.936401i
$979$	−12.4688	+	15.6353i	−0.398504	+	0.499708i
$980$	−15.2355	+	18.4099i	−0.486681	+	0.588083i
$981$	−7.50203	−	3.61279i	−0.239521	−	0.115347i
$982$	24.7145	−	19.7091i	0.788671	−	0.628944i
$983$	0.750283	−	0.940825i	0.0239303	−	0.0300076i	−0.769722	−	0.638379i	$-0.779605\pi$
$983$	0.750283	−	0.940825i	0.0239303	−	0.0300076i	0.793653	+	0.608371i	$0.208177\pi$
$984$	3.02833	−	6.28839i	0.0965396	−	0.200467i
$985$	−8.51421	−	18.5321i	−0.271285	−	0.590482i
$986$	−34.0280	+	3.84485i	−1.08367	+	0.122445i
$987$			16.5723i			0.527502i
$988$	−1.05616	−	0.508617i	−0.0336008	−	0.0161813i
$989$	−0.160544	−	0.128030i	−0.00510501	−	0.00407111i
$990$	−17.4043	+	34.5248i	−0.553144	+	1.09727i
$991$	30.4163	+	14.6477i	0.966206	+	0.465300i	0.849339	−	0.527847i	$-0.177001\pi$
$991$	30.4163	+	14.6477i	0.966206	+	0.465300i	0.116867	+	0.993148i	$0.462715\pi$
$992$	−1.92805	−	4.00365i	−0.0612158	−	0.127116i
$993$	−73.1305	−	58.3196i	−2.32073	−	1.85072i
$994$	−20.8323	+	4.75483i	−0.660760	+	0.150814i
$995$	18.1569	+	23.6347i	0.575613	+	0.749270i
$996$	14.9801	−	11.9462i	0.474662	−	0.378531i
$997$	2.75014	−	12.0491i	0.0870978	−	0.381600i	−0.912526	−	0.409018i	$-0.865871\pi$
$997$	2.75014	−	12.0491i	0.0870978	−	0.381600i	0.999624	+	0.0274177i	$0.00872843\pi$
$998$	3.73735			0.118304
$999$	31.3451	−	137.332i	0.991716	−	4.34499i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	290.2.l.b.129.1	yes	48
5.4	even	2		290.2.l.a.129.8	yes	48
29.9	even	14		290.2.l.a.9.8	✓	48
145.9	even	14	inner	290.2.l.b.9.1	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
290.2.l.a.9.8	✓	48	29.9	even	14
290.2.l.a.129.8	yes	48	5.4	even	2
290.2.l.b.9.1	yes	48	145.9	even	14	inner
290.2.l.b.129.1	yes	48	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 290 = 2 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	290.l (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.900969 + 0.433884i) q^{2} +(-1.97436 + 2.47577i) q^{3} +(0.623490 + 0.781831i) q^{4} +(2.23570 + 0.0405388i) q^{5} +(-2.85304 + 1.37395i) q^{6} +(3.28805 + 2.62213i) q^{7} +(0.222521 + 0.974928i) q^{8} +(-1.56378 - 6.85135i) q^{9} +(1.99671 + 1.00656i) q^{10} +(-2.39875 - 0.547500i) q^{11} -3.16663 q^{12} +(-0.266351 - 0.0607928i) q^{13} +(1.82473 + 3.78909i) q^{14} +(-4.51445 + 5.45505i) q^{15} +(-0.222521 + 0.974928i) q^{16} -6.35905 q^{17} +(1.56378 - 6.85135i) q^{18} +(3.35467 - 2.67526i) q^{19} +(1.36224 + 1.77322i) q^{20} +(-12.9836 + 2.96342i) q^{21} +(-1.92365 - 1.53406i) q^{22} +(-0.0326965 - 0.0678950i) q^{23} +(-2.85304 - 1.37395i) q^{24} +(4.99671 + 0.181265i) q^{25} +(-0.213597 - 0.170338i) q^{26} +(11.4907 + 5.53365i) q^{27} +4.20558i q^{28} +(4.55885 - 2.86651i) q^{29} +(-6.43423 + 2.95608i) q^{30} +(-1.92805 + 4.00365i) q^{31} +(-0.623490 + 0.781831i) q^{32} +(6.09149 - 4.85780i) q^{33} +(-5.72931 - 2.75909i) q^{34} +(7.24480 + 5.99560i) q^{35} +(4.38161 - 5.49436i) q^{36} +(-2.45772 - 10.7680i) q^{37} +(4.18321 - 0.954789i) q^{38} +(0.676382 - 0.539396i) q^{39} +(0.457968 + 2.18867i) q^{40} +2.20411i q^{41} +(-12.9836 - 2.96342i) q^{42} +(2.45507 - 1.18230i) q^{43} +(-1.06755 - 2.21678i) q^{44} +(-3.21839 - 15.3810i) q^{45} -0.0753577i q^{46} +(0.276905 - 1.21320i) q^{47} +(-1.97436 - 2.47577i) q^{48} +(2.37805 + 10.4189i) q^{49} +(4.42324 + 2.33131i) q^{50} +(12.5551 - 15.7436i) q^{51} +(-0.118537 - 0.246145i) q^{52} +(0.195469 - 0.405895i) q^{53} +(7.95184 + 9.97129i) q^{54} +(-5.34070 - 1.32129i) q^{55} +(-1.82473 + 3.78909i) q^{56} +13.5873i q^{57} +(5.35111 - 0.604626i) q^{58} +4.56149 q^{59} +(-7.07964 - 0.128371i) q^{60} +(7.42128 + 5.91827i) q^{61} +(-3.47423 + 2.77061i) q^{62} +(12.8234 - 26.6280i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-0.593016 - 0.146712i) q^{65} +(7.59597 - 1.73373i) q^{66} +(9.55746 - 2.18143i) q^{67} +(-3.96480 - 4.97171i) q^{68} +(0.232647 + 0.0531002i) q^{69} +(3.92595 + 8.54525i) q^{70} +(-1.13060 + 4.95349i) q^{71} +(6.33160 - 3.04914i) q^{72} +(1.48817 - 0.716663i) q^{73} +(2.45772 - 10.7680i) q^{74} +(-10.3141 + 12.0128i) q^{75} +(4.18321 + 0.954789i) q^{76} +(-6.45161 - 8.09006i) q^{77} +(0.843434 - 0.192508i) q^{78} +(-11.0960 + 2.53259i) q^{79} +(-0.537013 + 2.17063i) q^{80} +(-17.3921 + 8.37560i) q^{81} +(-0.956325 + 1.98583i) q^{82} +(-4.73061 + 3.77253i) q^{83} +(-10.4120 - 8.30333i) q^{84} +(-14.2169 - 0.257788i) q^{85} +2.72492 q^{86} +(-1.90399 + 16.9462i) q^{87} -2.46044i q^{88} +(3.52659 - 7.32303i) q^{89} +(3.77388 - 15.2542i) q^{90} +(-0.716368 - 0.898297i) q^{91} +(0.0326965 - 0.0678950i) q^{92} +(-6.10543 - 12.6781i) q^{93} +(0.775870 - 0.972910i) q^{94} +(7.60849 - 5.84509i) q^{95} +(-0.704642 - 3.08724i) q^{96} +(9.81647 + 12.3095i) q^{97} +(-2.37805 + 10.4189i) q^{98} +17.2909i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 8 q^{2} - 4 q^{3} - 8 q^{4} + 8 q^{5} - 3 q^{6} + 7 q^{7} + 8 q^{8} - 8 q^{9} - q^{10} + 10 q^{12} - 10 q^{15} - 8 q^{16} - 30 q^{17} + 8 q^{18} - 13 q^{20} + 7 q^{21} + 7 q^{23} - 3 q^{24} - 12 q^{25}+ \cdots - 27 q^{98}+O(q^{100}) \) 48 * q + 8 * q^2 - 4 * q^3 - 8 * q^4 + 8 * q^5 - 3 * q^6 + 7 * q^7 + 8 * q^8 - 8 * q^9 - q^10 + 10 * q^12 - 10 * q^15 - 8 * q^16 - 30 * q^17 + 8 * q^18 - 13 * q^20 + 7 * q^21 + 7 * q^23 - 3 * q^24 - 12 * q^25 + 21 * q^26 + 11 * q^27 - 10 * q^29 - 18 * q^30 + 14 * q^31 + 8 * q^32 - 14 * q^33 - 33 * q^34 - q^36 - 44 * q^37 - 28 * q^38 - 14 * q^39 - 8 * q^40 + 7 * q^42 - 8 * q^43 + 14 * q^44 + 25 * q^45 - 6 * q^47 - 4 * q^48 + 27 * q^49 + 5 * q^50 + 24 * q^51 + 77 * q^53 + 10 * q^54 - 32 * q^55 + 10 * q^58 - 24 * q^59 + 4 * q^60 + 56 * q^61 - 8 * q^64 - 34 * q^65 + 42 * q^67 - 2 * q^68 + 28 * q^69 - 30 * q^71 + 22 * q^72 - 29 * q^73 + 44 * q^74 - 32 * q^75 - 28 * q^76 - 30 * q^77 + 14 * q^78 + q^80 - 130 * q^81 - 42 * q^82 - 42 * q^84 + 28 * q^85 - 62 * q^86 + 32 * q^87 + 31 * q^90 - 106 * q^91 - 7 * q^92 - 70 * q^93 + 27 * q^94 + 165 * q^95 + 4 * q^96 - 49 * q^97 - 27 * q^98

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