LMFDB - Embedded newform 950.2.n.b.39.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(39,950)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([3, 0]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("950.39");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$24$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			39.17
Character	$\chi$	$=$	950.39
Dual form			950.2.n.b.609.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.587785 + 0.809017i) q^{2} +(-0.0948098 - 0.0308056i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.43256 - 1.71691i) q^{5} +(-0.0308056 - 0.0948098i) q^{6} -2.23805i q^{7} +(-0.951057 + 0.309017i) q^{8} +(-2.41901 - 1.75751i) q^{9} +O(q^{10})$	\(q+(0.587785 + 0.809017i) q^{2} +(-0.0948098 - 0.0308056i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.43256 - 1.71691i) q^{5} +(-0.0308056 - 0.0948098i) q^{6} -2.23805i q^{7} +(-0.951057 + 0.309017i) q^{8} +(-2.41901 - 1.75751i) q^{9} +(2.23105 + 0.149792i) q^{10} +(-4.19553 + 3.04823i) q^{11} +(0.0585957 - 0.0806501i) q^{12} +(1.48937 - 2.04994i) q^{13} +(1.81062 - 1.31549i) q^{14} +(-0.188711 + 0.118649i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(7.47740 - 2.42955i) q^{17} -2.99006i q^{18} +(-0.309017 - 0.951057i) q^{19} +(1.19019 + 1.89300i) q^{20} +(-0.0689444 + 0.212189i) q^{21} +(-4.93215 - 1.60255i) q^{22} +(-3.19841 - 4.40223i) q^{23} +0.0996890 q^{24} +(-0.895543 - 4.91915i) q^{25} +2.53386 q^{26} +(0.350992 + 0.483099i) q^{27} +(2.12851 + 0.691596i) q^{28} +(1.44642 - 4.45162i) q^{29} +(-0.206911 - 0.0829304i) q^{30} +(0.756592 + 2.32855i) q^{31} -1.00000i q^{32} +(0.491680 - 0.159757i) q^{33} +(6.36066 + 4.62129i) q^{34} +(-3.84253 - 3.20614i) q^{35} +(2.41901 - 1.75751i) q^{36} +(1.46586 - 2.01759i) q^{37} +(0.587785 - 0.809017i) q^{38} +(-0.204356 + 0.148473i) q^{39} +(-0.831892 + 2.07556i) q^{40} +(-7.60729 - 5.52702i) q^{41} +(-0.212189 + 0.0689444i) q^{42} -1.03384i q^{43} +(-1.60255 - 4.93215i) q^{44} +(-6.48287 + 1.63547i) q^{45} +(1.68150 - 5.17514i) q^{46} +(-4.23445 - 1.37586i) q^{47} +(0.0585957 + 0.0806501i) q^{48} +1.99113 q^{49} +(3.45329 - 3.61591i) q^{50} -0.783775 q^{51} +(1.48937 + 2.04994i) q^{52} +(2.19698 + 0.713841i) q^{53} +(-0.184527 + 0.567917i) q^{54} +(-0.776818 + 11.5701i) q^{55} +(0.691596 + 2.12851i) q^{56} +0.0996890i q^{57} +(4.45162 - 1.44642i) q^{58} +(10.0520 + 7.30318i) q^{59} +(-0.0545269 - 0.216139i) q^{60} +(-4.17417 + 3.03271i) q^{61} +(-1.43912 + 1.98078i) q^{62} +(-3.93341 + 5.41387i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-1.38595 - 5.49376i) q^{65} +(0.418248 + 0.303875i) q^{66} +(-8.16655 + 2.65347i) q^{67} +7.86220i q^{68} +(0.167627 + 0.515904i) q^{69} +(0.335243 - 4.99319i) q^{70} +(3.99274 - 12.2884i) q^{71} +(2.84372 + 0.923980i) q^{72} +(8.97219 + 12.3492i) q^{73} +2.49388 q^{74} +(-0.0666308 + 0.493971i) q^{75} +1.00000 q^{76} +(6.82210 + 9.38981i) q^{77} +(-0.240235 - 0.0780571i) q^{78} +(2.79662 - 8.60713i) q^{79} +(-2.16814 + 0.546970i) q^{80} +(2.75354 + 8.47454i) q^{81} -9.40313i q^{82} +(3.67080 - 1.19272i) q^{83} +(-0.180499 - 0.131140i) q^{84} +(6.54050 - 16.3185i) q^{85} +(0.836394 - 0.607676i) q^{86} +(-0.274269 + 0.377499i) q^{87} +(3.04823 - 4.19553i) q^{88} +(5.93802 - 4.31422i) q^{89} +(-5.13366 - 4.28344i) q^{90} +(-4.58786 - 3.33328i) q^{91} +(5.17514 - 1.68150i) q^{92} -0.244077i q^{93} +(-1.37586 - 4.23445i) q^{94} +(-2.07556 - 0.831892i) q^{95} +(-0.0308056 + 0.0948098i) q^{96} +(0.183328 + 0.0595669i) q^{97} +(1.17036 + 1.61086i) q^{98} +15.5064 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$1$

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 $

$2$	0.587785	+	0.809017i	0.415627	+	0.572061i
$2$	0.587785	+	0.809017i	0.415627	+	0.572061i
$3$	−0.0948098	−	0.0308056i	−0.0547385	−	0.0177856i	0.281520	−	0.959555i	$-0.409161\pi$
$3$	−0.0948098	−	0.0308056i	−0.0547385	−	0.0177856i	−0.336258	+	0.941770i	$0.609161\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	1.43256	−	1.71691i	0.640660	−	0.767824i
$5$	1.43256	−	1.71691i	0.640660	−	0.767824i
$6$	−0.0308056	−	0.0948098i	−0.0125763	−	0.0387060i
$7$		−	2.23805i		−	0.845903i	−0.906152	−	0.422952i	$-0.860994\pi$
$7$		−	2.23805i		−	0.845903i	0.906152	−	0.422952i	$-0.139006\pi$
$8$	−0.951057	+	0.309017i	−0.336249	+	0.109254i
$9$	−2.41901	−	1.75751i	−0.806337	−	0.585838i
$10$	2.23105	+	0.149792i	0.705518	+	0.0473685i
$11$	−4.19553	+	3.04823i	−1.26500	+	0.919077i	−0.998992	−	0.0448936i	$-0.985705\pi$
$11$	−4.19553	+	3.04823i	−1.26500	+	0.919077i	−0.266009	+	0.963971i	$0.585705\pi$
$12$	0.0585957	−	0.0806501i	0.0169151	−	0.0232817i
$13$	1.48937	−	2.04994i	0.413076	−	0.568550i	−0.550889	−	0.834578i	$-0.685711\pi$
$13$	1.48937	−	2.04994i	0.413076	−	0.568550i	0.963965	+	0.266028i	$0.0857114\pi$
$14$	1.81062	−	1.31549i	0.483909	−	0.351580i
$15$	−0.188711	+	0.118649i	−0.0487250	+	0.0306350i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	7.47740	−	2.42955i	1.81354	−	0.589253i	0.813566	−	0.581473i	$-0.197523\pi$
$17$	7.47740	−	2.42955i	1.81354	−	0.589253i	0.999970	−	0.00778084i	$-0.00247674\pi$
$18$		−	2.99006i		−	0.704764i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$20$	1.19019	+	1.89300i	0.266135	+	0.423287i
$21$	−0.0689444	+	0.212189i	−0.0150449	+	0.0463035i
$22$	−4.93215	−	1.60255i	−1.05154	−	0.341665i
$23$	−3.19841	−	4.40223i	−0.666915	−	0.917929i	0.332771	−	0.943008i	$-0.392016\pi$
$23$	−3.19841	−	4.40223i	−0.666915	−	0.917929i	−0.999685	+	0.0250786i	$0.992016\pi$
$24$	0.0996890			0.0203489
$25$	−0.895543	−	4.91915i	−0.179109	−	0.983829i
$26$	2.53386			0.496931
$27$	0.350992	+	0.483099i	0.0675484	+	0.0929724i
$28$	2.12851	+	0.691596i	0.402251	+	0.130699i
$29$	1.44642	−	4.45162i	0.268593	−	0.826644i	−0.722251	−	0.691631i	$-0.756892\pi$
$29$	1.44642	−	4.45162i	0.268593	−	0.826644i	0.990844	−	0.135013i	$-0.0431076\pi$
$30$	−0.206911	−	0.0829304i	−0.0377765	−	0.0151410i
$31$	0.756592	+	2.32855i	0.135888	+	0.418220i	0.995727	−	0.0923449i	$-0.0294362\pi$
$31$	0.756592	+	2.32855i	0.135888	+	0.418220i	−0.859839	+	0.510565i	$0.829436\pi$
$32$		−	1.00000i		−	0.176777i
$33$	0.491680	−	0.159757i	0.0855906	−	0.0278101i
$34$	6.36066	+	4.62129i	1.09084	+	0.792544i
$35$	−3.84253	−	3.20614i	−0.649505	−	0.541937i
$36$	2.41901	−	1.75751i	0.403169	−	0.292919i
$37$	1.46586	−	2.01759i	0.240987	−	0.331690i	−0.671343	−	0.741147i	$-0.734282\pi$
$37$	1.46586	−	2.01759i	0.240987	−	0.331690i	0.912329	+	0.409458i	$0.134282\pi$
$38$	0.587785	−	0.809017i	0.0953514	−	0.131240i
$39$	−0.204356	+	0.148473i	−0.0327232	+	0.0237748i
$40$	−0.831892	+	2.07556i	−0.131534	+	0.328175i
$41$	−7.60729	−	5.52702i	−1.18806	−	0.863176i	−0.195002	−	0.980803i	$-0.562471\pi$
$41$	−7.60729	−	5.52702i	−1.18806	−	0.863176i	−0.993058	+	0.117627i	$0.962471\pi$
$42$	−0.212189	+	0.0689444i	−0.0327415	+	0.0106384i
$43$		−	1.03384i		−	0.157659i	−0.996888	−	0.0788295i	$-0.974882\pi$
$43$		−	1.03384i		−	0.157659i	0.996888	−	0.0788295i	$-0.0251183\pi$
$44$	−1.60255	−	4.93215i	−0.241594	−	0.743549i
$45$	−6.48287	+	1.63547i	−0.966409	+	0.243802i
$46$	1.68150	−	5.17514i	0.247924	−	0.763032i
$47$	−4.23445	−	1.37586i	−0.617658	−	0.200689i	−0.0165577	−	0.999863i	$-0.505271\pi$
$47$	−4.23445	−	1.37586i	−0.617658	−	0.200689i	−0.601100	+	0.799174i	$0.705271\pi$
$48$	0.0585957	+	0.0806501i	0.00845756	+	0.0116408i
$49$	1.99113			0.284447
$50$	3.45329	−	3.61591i	0.488368	−	0.511367i
$51$	−0.783775			−0.109750
$52$	1.48937	+	2.04994i	0.206538	+	0.284275i
$53$	2.19698	+	0.713841i	0.301778	+	0.0980536i	0.455992	−	0.889984i	$-0.349285\pi$
$53$	2.19698	+	0.713841i	0.301778	+	0.0980536i	−0.154214	+	0.988037i	$0.549285\pi$
$54$	−0.184527	+	0.567917i	−0.0251110	+	0.0772837i
$55$	−0.776818	+	11.5701i	−0.104746	+	1.56011i
$56$	0.691596	+	2.12851i	0.0924183	+	0.284434i
$57$			0.0996890i			0.0132041i
$58$	4.45162	−	1.44642i	0.584526	−	0.189924i
$59$	10.0520	+	7.30318i	1.30866	+	0.950794i	1.00000		0.000380440i	$-0.000121098\pi$
$59$	10.0520	+	7.30318i	1.30866	+	0.950794i	0.308655	+	0.951174i	$0.400121\pi$
$60$	−0.0545269	−	0.216139i	−0.00703939	−	0.0279035i
$61$	−4.17417	+	3.03271i	−0.534448	+	0.388299i	−0.822019	−	0.569460i	$-0.807152\pi$
$61$	−4.17417	+	3.03271i	−0.534448	+	0.388299i	0.287571	+	0.957759i	$0.407152\pi$
$62$	−1.43912	+	1.98078i	−0.182769	+	0.251560i
$63$	−3.93341	+	5.41387i	−0.495563	+	0.682083i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−1.38595	−	5.49376i	−0.171905	−	0.681417i
$66$	0.418248	+	0.303875i	0.0514828	+	0.0374045i
$67$	−8.16655	+	2.65347i	−0.997703	+	0.324173i	−0.761947	−	0.647639i	$-0.775757\pi$
$67$	−8.16655	+	2.65347i	−0.997703	+	0.324173i	−0.235756	+	0.971812i	$0.575757\pi$
$68$			7.86220i			0.953432i
$69$	0.167627	+	0.515904i	0.0201800	+	0.0621075i
$70$	0.335243	−	4.99319i	0.0400692	−	0.596800i
$71$	3.99274	−	12.2884i	0.473852	−	1.45837i	−0.373649	−	0.927570i	$-0.621893\pi$
$71$	3.99274	−	12.2884i	0.473852	−	1.45837i	0.847500	−	0.530795i	$-0.178107\pi$
$72$	2.84372	+	0.923980i	0.335135	+	0.108892i
$73$	8.97219	+	12.3492i	1.05011	+	1.44536i	0.888709	+	0.458471i	$0.151603\pi$
$73$	8.97219	+	12.3492i	1.05011	+	1.44536i	0.161406	+	0.986888i	$0.448397\pi$
$74$	2.49388			0.289907
$75$	−0.0666308	+	0.493971i	−0.00769387	+	0.0570389i
$76$	1.00000			0.114708
$77$	6.82210	+	9.38981i	0.777450	+	1.07007i
$78$	−0.240235	−	0.0780571i	−0.0272013	−	0.00883822i
$79$	2.79662	−	8.60713i	0.314645	−	0.968377i	−0.661256	−	0.750161i	$-0.729976\pi$
$79$	2.79662	−	8.60713i	0.314645	−	0.968377i	0.975900	−	0.218217i	$-0.0700239\pi$
$80$	−2.16814	+	0.546970i	−0.242405	+	0.0611531i
$81$	2.75354	+	8.47454i	0.305949	+	0.941615i
$82$		−	9.40313i		−	1.03840i
$83$	3.67080	−	1.19272i	0.402923	−	0.130918i	−0.100543	−	0.994933i	$-0.532058\pi$
$83$	3.67080	−	1.19272i	0.402923	−	0.130918i	0.503466	+	0.864015i	$0.332058\pi$
$84$	−0.180499	−	0.131140i	−0.0196940	−	0.0143086i
$85$	6.54050	−	16.3185i	0.709417	−	1.76999i
$86$	0.836394	−	0.607676i	0.0901907	−	0.0655273i
$87$	−0.274269	+	0.377499i	−0.0294047	+	0.0404722i
$88$	3.04823	−	4.19553i	0.324943	−	0.447245i
$89$	5.93802	−	4.31422i	0.629429	−	0.457307i	−0.226774	−	0.973948i	$-0.572818\pi$
$89$	5.93802	−	4.31422i	0.629429	−	0.457307i	0.856202	+	0.516641i	$0.172818\pi$
$90$	−5.13366	−	4.28344i	−0.541135	−	0.451515i
$91$	−4.58786	−	3.33328i	−0.480939	−	0.349422i
$92$	5.17514	−	1.68150i	0.539545	−	0.175309i
$93$		−	0.244077i		−	0.0253096i
$94$	−1.37586	−	4.23445i	−0.141909	−	0.436750i
$95$	−2.07556	−	0.831892i	−0.212948	−	0.0853503i
$96$	−0.0308056	+	0.0948098i	−0.00314408	+	0.00967649i
$97$	0.183328	+	0.0595669i	0.0186141	+	0.00604810i	0.318309	−	0.947987i	$-0.396885\pi$
$97$	0.183328	+	0.0595669i	0.0186141	+	0.00604810i	−0.299695	+	0.954035i	$0.596885\pi$
$98$	1.17036	+	1.61086i	0.118224	+	0.162721i
$99$	15.5064			1.55845
$100$	4.95512	+	0.668387i	0.495512	+	0.0668387i
$101$	−16.8107			−1.67272			−0.836361	−	0.548179i	$-0.815321\pi$
$101$	−16.8107			−1.67272			−0.836361	+	0.548179i	$0.815321\pi$
$102$	−0.460691	−	0.634087i	−0.0456152	−	0.0627840i
$103$	15.2353	+	4.95024i	1.50118	+	0.487762i	0.940361	−	0.340179i	$-0.110488\pi$
$103$	15.2353	+	4.95024i	1.50118	+	0.487762i	0.560815	+	0.827941i	$0.310488\pi$
$104$	−0.783006	+	2.40985i	−0.0767801	+	0.236305i
$105$	0.265542	+	0.422345i	0.0259143	+	0.0412167i
$106$	0.713841	+	2.19698i	0.0693344	+	0.213389i
$107$			15.7644i			1.52400i	0.647576	+	0.762001i	$0.275783\pi$
$107$			15.7644i			1.52400i	−0.647576	+	0.762001i	$0.724217\pi$
$108$	−0.567917	+	0.184527i	−0.0546478	+	0.0177562i
$109$	12.3351	+	8.96194i	1.18148	+	0.858398i	0.992338	−	0.123551i	$-0.0394281\pi$
$109$	12.3351	+	8.96194i	1.18148	+	0.858398i	0.189146	+	0.981949i	$0.439428\pi$
$110$	−9.81703	+	6.17229i	−0.936017	+	0.588504i
$111$	−0.201131	+	0.146130i	−0.0190905	+	0.0138701i
$112$	−1.31549	+	1.81062i	−0.124302	+	0.171088i
$113$	−10.0609	+	13.8476i	−0.946447	+	1.30267i	0.00664012	+	0.999978i	$0.497886\pi$
$113$	−10.0609	+	13.8476i	−0.946447	+	1.30267i	−0.953087	+	0.302695i	$0.902114\pi$
$114$	−0.0806501	+	0.0585957i	−0.00755357	+	0.00548799i
$115$	−12.1401	−	0.815090i	−1.13207	−	0.0760075i
$116$	3.78677	+	2.75125i	0.351593	+	0.255447i
$117$	−7.20559	+	2.34124i	−0.666157	+	0.216447i
$118$			12.4249i			1.14381i
$119$	−5.43746	−	16.7348i	−0.498452	−	1.53408i
$120$	0.142810	−	0.171157i	0.0130367	−	0.0156244i
$121$	4.91159	−	15.1163i	0.446508	−	1.37421i
$122$	−4.90703	−	1.59439i	−0.444262	−	0.144349i
$123$	0.550983	+	0.758363i	0.0496805	+	0.0683793i
$124$	−2.44838			−0.219871
$125$	−9.72864	−	5.50941i	−0.870156	−	0.492776i
$126$	−6.69191			−0.596163
$127$	−7.58334	−	10.4376i	−0.672913	−	0.926185i	0.326909	−	0.945056i	$-0.393993\pi$
$127$	−7.58334	−	10.4376i	−0.672913	−	0.926185i	−0.999822	+	0.0188707i	$0.993993\pi$
$128$	0.951057	+	0.309017i	0.0840623	+	0.0273135i
$129$	−0.0318480	+	0.0980182i	−0.00280406	+	0.00863002i
$130$	3.62991	−	4.35041i	0.318364	−	0.381556i
$131$	4.49613	+	13.8377i	0.392829	+	1.20900i	0.930639	+	0.365938i	$0.119252\pi$
$131$	4.49613	+	13.8377i	0.392829	+	1.20900i	−0.537810	+	0.843066i	$0.680748\pi$
$132$			0.516983i			0.0449976i
$133$	−2.12851	+	0.691596i	−0.184565	+	0.0599689i
$134$	−6.94689	−	5.04721i	−0.600120	−	0.436012i
$135$	1.33225	+	0.0894475i	0.114662	+	0.00769842i
$136$	−6.36066	+	4.62129i	−0.545422	+	0.396272i
$137$	−1.77972	+	2.44958i	−0.152052	+	0.209282i	−0.878247	−	0.478207i	$-0.841287\pi$
$137$	−1.77972	+	2.44958i	−0.152052	+	0.209282i	0.726195	+	0.687489i	$0.241287\pi$
$138$	−0.318846	+	0.438854i	−0.0271420	+	0.0373577i
$139$	−13.4634	+	9.78174i	−1.14195	+	0.829677i	−0.987390	−	0.158307i	$-0.949397\pi$
$139$	−13.4634	+	9.78174i	−1.14195	+	0.829677i	−0.154562	+	0.987983i	$0.549397\pi$
$140$	4.23663	−	2.66371i	0.358060	−	0.225124i
$141$	0.359083	+	0.260889i	0.0302403	+	0.0219708i
$142$	12.2884	−	3.99274i	1.03122	−	0.335064i
$143$			13.1405i			1.09887i
$144$	0.923980	+	2.84372i	0.0769983	+	0.236977i
$145$	−5.57093	−	8.86057i	−0.462641	−	0.735830i
$146$	−4.71696	+	14.5173i	−0.390378	+	1.20146i
$147$	−0.188779	−	0.0613380i	−0.0155702	−	0.00505907i
$148$	1.46586	+	2.01759i	0.120493	+	0.165845i
$149$	6.38736			0.523273			0.261636	−	0.965167i	$-0.415738\pi$
$149$	6.38736			0.523273			0.261636	+	0.965167i	$0.415738\pi$
$150$	−0.438796	+	0.236444i	−0.0358275	+	0.0193055i
$151$	−5.06004			−0.411780			−0.205890	−	0.978575i	$-0.566009\pi$
$151$	−5.06004			−0.411780			−0.205890	+	0.978575i	$0.566009\pi$
$152$	0.587785	+	0.809017i	0.0476757	+	0.0656199i
$153$	−22.3579	−	7.26452i	−1.80753	−	0.587301i
$154$	−3.58659	+	11.0384i	−0.289016	+	0.889499i
$155$	5.08177	+	2.03679i	0.408178	+	0.163599i
$156$	−0.0780571	−	0.240235i	−0.00624957	−	0.0192342i
$157$		−	17.9229i		−	1.43040i	−0.698920	−	0.715200i	$-0.746336\pi$
$157$		−	17.9229i		−	1.43040i	0.698920	−	0.715200i	$-0.253664\pi$
$158$	8.60713	−	2.79662i	0.684746	−	0.222488i
$159$	−0.186305	−	0.135358i	−0.0147749	−	0.0107346i
$160$	−1.71691	−	1.43256i	−0.135733	−	0.113254i
$161$	−9.85242	+	7.15820i	−0.776479	+	0.564145i
$162$	−5.23755	+	7.20887i	−0.411501	+	0.566383i
$163$	−8.14492	+	11.2105i	−0.637959	+	0.878075i	−0.998505	−	0.0546663i	$-0.982591\pi$
$163$	−8.14492	+	11.2105i	−0.637959	+	0.878075i	0.360546	+	0.932742i	$0.382591\pi$
$164$	7.60729	−	5.52702i	0.594030	−	0.431588i
$165$	0.430074	−	1.07303i	0.0334812	−	0.0835353i
$166$	3.12257	+	2.26868i	0.242359	+	0.176084i
$167$	3.01214	−	0.978703i	0.233086	−	0.0757343i	−0.190145	−	0.981756i	$-0.560896\pi$
$167$	3.01214	−	0.978703i	0.233086	−	0.0757343i	0.423231	+	0.906022i	$0.360896\pi$
$168$		−	0.223109i		−	0.0172132i
$169$	2.03319	+	6.25752i	0.156399	+	0.481348i
$170$	17.0463	−	4.30039i	1.30739	−	0.329825i
$171$	−0.923980	+	2.84372i	−0.0706585	+	0.217465i
$172$	0.983240	+	0.319474i	0.0749713	+	0.0243597i
$173$	−5.59283	−	7.69788i	−0.425215	−	0.585259i	0.541631	−	0.840616i	$-0.317807\pi$
$173$	−5.59283	−	7.69788i	−0.425215	−	0.585259i	−0.966847	+	0.255357i	$0.917807\pi$
$174$	−0.466615			−0.0353740
$175$	−11.0093	+	2.00427i	−0.832225	+	0.151509i
$176$	5.18596			0.390907
$177$	−0.728047	−	1.00207i	−0.0547234	−	0.0753202i
$178$	6.98056	+	2.26812i	0.523215	+	0.170003i
$179$	3.80044	−	11.6966i	0.284058	−	0.874242i	−0.702621	−	0.711565i	$-0.747987\pi$
$179$	3.80044	−	11.6966i	0.284058	−	0.874242i	0.986679	−	0.162678i	$-0.0520131\pi$
$180$	0.447889	−	6.67096i	0.0333837	−	0.497224i
$181$	3.79687	+	11.6856i	0.282219	+	0.868580i	0.987218	+	0.159373i	$0.0509471\pi$
$181$	3.79687	+	11.6856i	0.282219	+	0.868580i	−0.705000	+	0.709208i	$0.749053\pi$
$182$		−	5.67091i		−	0.420356i
$183$	0.489177	−	0.158943i	0.0361610	−	0.0117494i
$184$	4.40223	+	3.19841i	0.324537	+	0.235790i
$185$	−1.36408	−	5.40707i	−0.100289	−	0.397536i
$186$	0.197462	−	0.143465i	0.0144786	−	0.0105193i
$187$	−23.9658	+	32.9861i	−1.75255	+	2.41218i
$188$	2.61703	−	3.60204i	0.190867	−	0.262706i
$189$	1.08120	−	0.785538i	0.0786457	−	0.0571394i
$190$	−0.546970	−	2.16814i	−0.0396814	−	0.157293i
$191$	−1.56963	−	1.14040i	−0.113574	−	0.0825166i	0.529548	−	0.848280i	$-0.322361\pi$
$191$	−1.56963	−	1.14040i	−0.113574	−	0.0825166i	−0.643123	+	0.765763i	$0.722361\pi$
$192$	−0.0948098	+	0.0308056i	−0.00684231	+	0.00222320i
$193$		−	0.802152i		−	0.0577402i	−0.999583	−	0.0288701i	$-0.990809\pi$
$193$		−	0.802152i		−	0.0577402i	0.999583	−	0.0288701i	$-0.00919091\pi$
$194$	0.0595669	+	0.183328i	0.00427665	+	0.0131622i
$195$	−0.0378373	+	0.563558i	−0.00270958	+	0.0403572i
$196$	−0.615293	+	1.89368i	−0.0439495	+	0.135263i
$197$	13.3528	+	4.33857i	0.951344	+	0.309111i	0.743262	−	0.669001i	$-0.233278\pi$
$197$	13.3528	+	4.33857i	0.951344	+	0.309111i	0.208083	+	0.978111i	$0.433278\pi$
$198$	9.11441	+	12.5449i	0.647733	+	0.891528i
$199$	12.3540			0.875754			0.437877	−	0.899035i	$-0.355731\pi$
$199$	12.3540			0.875754			0.437877	+	0.899035i	$0.355731\pi$
$200$	2.37181	+	4.40165i	0.167712	+	0.311244i
$201$	0.856012			0.0603784
$202$	−9.88105	−	13.6001i	−0.695229	−	0.956900i
$203$	−9.96294	−	3.23715i	−0.699261	−	0.227204i
$204$	0.242200	−	0.745414i	0.0169574	−	0.0521894i
$205$	−20.3873	+	5.14323i	−1.42391	+	0.359219i
$206$	4.95024	+	15.2353i	0.344900	+	1.06149i
$207$			16.2703i			1.13086i
$208$	−2.40985	+	0.783006i	−0.167093	+	0.0542917i
$209$	4.19553	+	3.04823i	0.290211	+	0.210851i
$210$	−0.185603	+	0.463076i	−0.0128078	+	0.0319553i
$211$	17.5044	−	12.7177i	1.20505	−	0.875522i	0.210281	−	0.977641i	$-0.432562\pi$
$211$	17.5044	−	12.7177i	1.20505	−	0.875522i	0.994772	+	0.102119i	$0.0325622\pi$
$212$	−1.35781	+	1.86886i	−0.0932545	+	0.128354i
$213$	−0.757103	+	1.04206i	−0.0518758	+	0.0714010i
$214$	−12.7537	+	9.26608i	−0.871823	+	0.633416i
$215$	−1.77501	−	1.48104i	−0.121054	−	0.101006i
$216$	−0.483099	−	0.350992i	−0.0328707	−	0.0238820i
$217$	5.21142	−	1.69329i	0.353774	−	0.114948i
$218$			15.2470i			1.03265i
$219$	−0.470229	−	1.44721i	−0.0317751	−	0.0977937i
$220$	−10.7638	−	4.31416i	−0.725694	−	0.290861i
$221$	6.15615	−	18.9467i	0.414108	−	1.27449i
$222$	−0.236444	−	0.0768253i	−0.0158691	−	0.00515618i
$223$	−5.21768	−	7.18151i	−0.349401	−	0.480910i	0.597756	−	0.801678i	$-0.296059\pi$
$223$	−5.21768	−	7.18151i	−0.349401	−	0.480910i	−0.947158	+	0.320768i	$0.896059\pi$
$224$	−2.23805			−0.149536
$225$	−6.47914	+	13.4734i	−0.431943	+	0.898227i
$226$	−17.1166			−1.13858
$227$	4.06958	+	5.60129i	0.270107	+	0.371771i	0.922426	−	0.386174i	$-0.126204\pi$
$227$	4.06958	+	5.60129i	0.270107	+	0.371771i	−0.652319	+	0.757945i	$0.726204\pi$
$228$	−0.0948098	−	0.0308056i	−0.00627894	−	0.00204015i
$229$	6.52705	−	20.0882i	0.431320	−	1.32747i	−0.465491	−	0.885052i	$-0.654122\pi$
$229$	6.52705	−	20.0882i	0.431320	−	1.32747i	0.896811	−	0.442413i	$-0.145878\pi$
$230$	−6.47638	−	10.3007i	−0.427040	−	0.679207i
$231$	−0.357543	−	1.10041i	−0.0235246	−	0.0724014i
$232$			4.68071i			0.307303i
$233$	−5.70705	+	1.85433i	−0.373881	+	0.121481i	−0.489929	−	0.871762i	$-0.662977\pi$
$233$	−5.70705	+	1.85433i	−0.373881	+	0.121481i	0.116048	+	0.993244i	$0.462977\pi$
$234$	−6.12944	−	4.45330i	−0.400694	−	0.291121i
$235$	−8.42832	+	5.29916i	−0.549803	+	0.345679i
$236$	−10.0520	+	7.30318i	−0.654328	+	0.475397i
$237$	−0.530295	+	0.729889i	−0.0344464	+	0.0474114i
$238$	10.3427	−	14.2355i	0.670416	−	0.922748i
$239$	−15.7240	+	11.4241i	−1.01710	+	0.738966i	−0.965686	−	0.259711i	$-0.916373\pi$
$239$	−15.7240	+	11.4241i	−1.01710	+	0.738966i	−0.0514132	+	0.998677i	$0.516373\pi$
$240$	0.222411	+	0.0149327i	0.0143565	+	0.000963899i
$241$	11.7977	+	8.57150i	0.759954	+	0.552139i	0.898896	−	0.438162i	$-0.144370\pi$
$241$	11.7977	+	8.57150i	0.759954	+	0.552139i	−0.138942	+	0.990300i	$0.544370\pi$
$242$	15.1163	−	4.91159i	0.971713	−	0.315729i
$243$		−	2.67972i		−	0.171904i
$244$	−1.59439	−	4.90703i	−0.102070	−	0.314141i
$245$	2.85242	−	3.41859i	0.182234	−	0.218406i
$246$	−0.289669	+	0.891510i	−0.0184686	+	0.0568406i
$247$	−2.40985	−	0.783006i	−0.153335	−	0.0498215i
$248$	−1.43912	−	1.98078i	−0.0913845	−	0.125780i
$249$	−0.384770			−0.0243838
$250$	−1.26115	−	11.1090i	−0.0797619	−	0.702594i
$251$	7.29289			0.460323			0.230161	−	0.973152i	$-0.426075\pi$
$251$	7.29289			0.460323			0.230161	+	0.973152i	$0.426075\pi$
$252$	−3.93341	−	5.41387i	−0.247781	−	0.341042i
$253$	26.8381	+	8.72022i	1.68729	+	0.548235i
$254$	3.98680	−	12.2701i	0.250154	−	0.769895i
$255$	−1.12280	+	1.34567i	−0.0703127	+	0.0842691i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$			3.10063i			0.193412i	0.995313	+	0.0967061i	$0.0308307\pi$
$257$			3.10063i			0.193412i	−0.995313	+	0.0967061i	$0.969169\pi$
$258$	−0.0980182	+	0.0318480i	−0.00610234	+	0.00198277i
$259$	−4.51546	−	3.28068i	−0.280577	−	0.203851i
$260$	5.65316	+	0.379553i	0.350594	+	0.0235389i
$261$	−11.3227	+	8.22641i	−0.700856	+	0.509202i
$262$	−8.55215	+	11.7710i	−0.528354	+	0.727217i
$263$	12.5891	−	17.3274i	0.776276	−	1.06845i	−0.219407	−	0.975633i	$-0.570412\pi$
$263$	12.5891	−	17.3274i	0.776276	−	1.06845i	0.995683	−	0.0928185i	$-0.0295876\pi$
$264$	−0.418248	+	0.303875i	−0.0257414	+	0.0187022i
$265$	4.37290	−	2.74939i	0.268625	−	0.168893i
$266$	−1.81062	−	1.31549i	−0.111016	−	0.0806580i
$267$	−0.695885	+	0.226107i	−0.0425875	+	0.0138375i
$268$		−	8.58682i		−	0.524524i
$269$	−7.88849	−	24.2783i	−0.480970	−	1.48027i	−0.837734	−	0.546078i	$-0.816120\pi$
$269$	−7.88849	−	24.2783i	−0.480970	−	1.48027i	0.356765	−	0.934194i	$-0.383880\pi$
$270$	0.710714	+	1.13039i	0.0432527	+	0.0687934i
$271$	−6.86577	+	21.1307i	−0.417066	+	1.28360i	0.493324	+	0.869845i	$0.335782\pi$
$271$	−6.86577	+	21.1307i	−0.417066	+	1.28360i	−0.910390	+	0.413751i	$0.864218\pi$
$272$	−7.47740	−	2.42955i	−0.453384	−	0.147313i
$273$	0.332291	+	0.457359i	0.0201112	+	0.0276806i
$274$	−3.02785			−0.182919
$275$	18.7520	+	17.9086i	1.13079	+	1.07993i
$276$	−0.542453			−0.0326519
$277$	3.25293	+	4.47728i	0.195450	+	0.269014i	0.895482	−	0.445098i	$-0.146831\pi$
$277$	3.25293	+	4.47728i	0.195450	+	0.269014i	−0.700032	+	0.714111i	$0.746831\pi$
$278$	−15.8272	−	5.14257i	−0.949252	−	0.308431i
$279$	2.26226	−	6.96251i	0.135438	−	0.416835i
$280$	4.64521	+	1.86182i	0.277604	+	0.111265i
$281$	−9.36500	−	28.8225i	−0.558669	−	1.71941i	−0.686052	−	0.727553i	$-0.740658\pi$
$281$	−9.36500	−	28.8225i	−0.558669	−	1.71941i	0.127383	−	0.991854i	$-0.459342\pi$
$282$			0.443851i			0.0264310i
$283$	14.2182	−	4.61978i	0.845185	−	0.274617i	0.145757	−	0.989320i	$-0.453438\pi$
$283$	14.2182	−	4.61978i	0.845185	−	0.274617i	0.699428	+	0.714703i	$0.253438\pi$
$284$	10.4531	+	7.59465i	0.620280	+	0.450660i
$285$	0.171157	+	0.142810i	0.0101385	+	0.00845936i
$286$	−10.6309	+	7.72380i	−0.628618	+	0.456718i
$287$	−12.3698	+	17.0255i	−0.730164	+	1.00498i
$288$	−1.75751	+	2.41901i	−0.103563	+	0.142542i
$289$	36.2555	−	26.3411i	2.13268	−	1.54948i
$290$	3.89384	−	9.71509i	0.228654	−	0.570490i
$291$	−0.0155463	−	0.0112951i	−0.000911341	−	0.000662128i
$292$	−14.5173	+	4.71696i	−0.849561	+	0.276039i
$293$		−	1.21752i		−	0.0711280i	−0.999367	−	0.0355640i	$-0.988677\pi$
$293$		−	1.21752i		−	0.0711280i	0.999367	−	0.0355640i	$-0.0113228\pi$
$294$	−0.0613380	−	0.188779i	−0.00357730	−	0.0110098i
$295$	26.9389	−	6.79605i	1.56845	−	0.395682i
$296$	−0.770650	+	2.37182i	−0.0447931	+	0.137859i
$297$	−2.94520	−	0.956952i	−0.170898	−	0.0555280i
$298$	3.75439	+	5.16748i	0.217486	+	0.299344i
$299$	−13.7879			−0.797375
$300$	−0.449204	−	0.216015i	−0.0259348	−	0.0124716i
$301$	−2.31378			−0.133364
$302$	−2.97421	−	4.09365i	−0.171147	−	0.235563i
$303$	1.59382	+	0.517862i	0.0915623	+	0.0297504i
$304$	−0.309017	+	0.951057i	−0.0177233	+	0.0545468i
$305$	−0.772863	+	11.5112i	−0.0442540	+	0.659130i
$306$	−7.26452	−	22.3579i	−0.415285	−	1.27812i
$307$			30.0732i			1.71637i	0.513344	+	0.858183i	$0.328406\pi$
$307$			30.0732i			1.71637i	−0.513344	+	0.858183i	$0.671594\pi$
$308$	−11.0384	+	3.58659i	−0.628971	+	0.204365i
$309$	−1.29196	−	0.938663i	−0.0734969	−	0.0533987i
$310$	1.33919	+	5.30844i	0.0760610	+	0.301499i
$311$	−1.44591	+	1.05052i	−0.0819901	+	0.0595693i	−0.628025	−	0.778193i	$-0.716137\pi$
$311$	−1.44591	+	1.05052i	−0.0819901	+	0.0595693i	0.546035	+	0.837762i	$0.316137\pi$
$312$	0.148473	−	0.204356i	0.00840565	−	0.0115694i
$313$	−6.60670	+	9.09334i	−0.373433	+	0.513986i	−0.953830	−	0.300348i	$-0.902897\pi$
$313$	−6.60670	+	9.09334i	−0.373433	+	0.513986i	0.580397	+	0.814334i	$0.302897\pi$
$314$	14.4999	−	10.5348i	0.818277	−	0.594513i
$315$	3.66027	+	14.5090i	0.206233	+	0.817489i
$316$	7.32166	+	5.31950i	0.411875	+	0.299245i
$317$	−4.92256	+	1.59944i	−0.276478	+	0.0898333i	−0.443974	−	0.896039i	$-0.646432\pi$
$317$	−4.92256	+	1.59944i	−0.276478	+	0.0898333i	0.167496	+	0.985873i	$0.446432\pi$
$318$		−	0.230285i		−	0.0129138i
$319$	7.50107	+	23.0859i	0.419979	+	1.29256i
$320$	0.149792	−	2.23105i	0.00837365	−	0.124719i
$321$	0.485631	−	1.49462i	0.0271053	−	0.0834216i
$322$	−11.5822	−	3.76329i	−0.645452	−	0.209720i
$323$	−4.62129	−	6.36066i	−0.257135	−	0.353916i
$324$	−8.91066			−0.495037
$325$	−11.4177	−	5.49060i	−0.633342	−	0.304564i
$326$	−13.8570			−0.767466
$327$	−0.893407	−	1.22967i	−0.0494055	−	0.0680009i
$328$	8.94291	+	2.90573i	0.493790	+	0.160442i
$329$	−3.07923	+	9.47691i	−0.169764	+	0.522479i
$330$	1.12089	−	0.282774i	0.0617031	−	0.0155662i
$331$	−7.26300	−	22.3532i	−0.399211	−	1.22864i	−0.925633	−	0.378421i	$-0.876467\pi$
$331$	−7.26300	−	22.3532i	−0.399211	−	1.22864i	0.526423	−	0.850223i	$-0.323533\pi$
$332$			3.85971i			0.211829i
$333$	−7.09188	+	2.30429i	−0.388633	+	0.126274i
$334$	2.56228	+	1.86160i	0.140202	+	0.101862i
$335$	−7.14331	+	17.8225i	−0.390281	+	0.973746i
$336$	0.180499	−	0.131140i	0.00984702	−	0.00715428i
$337$	9.90177	−	13.6286i	0.539384	−	0.742398i	−0.449140	−	0.893461i	$-0.648270\pi$
$337$	9.90177	−	13.6286i	0.539384	−	0.742398i	0.988524	+	0.151063i	$0.0482697\pi$
$338$	−3.86736	+	5.32296i	−0.210357	+	0.289531i
$339$	1.38045	−	1.00296i	0.0749759	−	0.0544732i
$340$	13.4987	+	11.2631i	0.732068	+	0.610826i
$341$	−10.2723	−	7.46325i	−0.556275	−	0.404157i
$342$	−2.84372	+	0.923980i	−0.153771	+	0.0499631i
$343$		−	20.1226i		−	1.08652i
$344$	0.319474	+	0.983240i	0.0172249	+	0.0530127i
$345$	1.12590	+	0.451263i	0.0606162	+	0.0242952i
$346$	2.94033	−	9.04940i	0.158073	−	0.486499i
$347$	−4.12413	−	1.34001i	−0.221395	−	0.0719355i	0.196219	−	0.980560i	$-0.437134\pi$
$347$	−4.12413	−	1.34001i	−0.221395	−	0.0719355i	−0.417614	+	0.908625i	$0.637134\pi$
$348$	−0.274269	−	0.377499i	−0.0147024	−	0.0202361i
$349$	18.6089			0.996110			0.498055	−	0.867146i	$-0.334048\pi$
$349$	18.6089			0.996110			0.498055	+	0.867146i	$0.334048\pi$
$350$	−8.09259	−	7.72863i	−0.432567	−	0.413112i
$351$	1.51308			0.0807621
$352$	3.04823	+	4.19553i	0.162471	+	0.223623i
$353$	17.2984	+	5.62058i	0.920699	+	0.299153i	0.730754	−	0.682641i	$-0.239169\pi$
$353$	17.2984	+	5.62058i	0.920699	+	0.299153i	0.189946	+	0.981795i	$0.439169\pi$
$354$	0.382757	−	1.17800i	0.0203433	−	0.0626102i
$355$	−15.3782	−	24.4590i	−0.816190	−	1.29815i
$356$	2.26812	+	6.98056i	0.120210	+	0.369969i
$357$			1.75413i			0.0928383i
$358$	11.6966	−	3.80044i	0.618183	−	0.200860i
$359$	−2.67154	−	1.94099i	−0.140998	−	0.102441i	0.515050	−	0.857160i	$-0.327773\pi$
$359$	−2.67154	−	1.94099i	−0.140998	−	0.102441i	−0.656048	+	0.754719i	$0.727773\pi$
$360$	5.66019	−	3.55874i	0.298318	−	0.187562i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	−7.22207	+	9.94032i	−0.379584	+	0.522452i
$363$	−0.931333	+	1.28187i	−0.0488823	+	0.0672807i
$364$	4.58786	−	3.33328i	0.240469	−	0.174711i
$365$	34.0556	+	2.28649i	1.78255	+	0.119680i
$366$	0.416119	+	0.302328i	0.0217509	+	0.0158029i
$367$	31.1385	−	10.1175i	1.62542	−	0.528130i	0.652205	−	0.758043i	$-0.273844\pi$
$367$	31.1385	−	10.1175i	1.62542	−	0.528130i	0.973211	+	0.229913i	$0.0738443\pi$
$368$			5.44146i			0.283656i
$369$	8.68831	+	26.7399i	0.452295	+	1.39202i
$370$	3.57263	−	4.28176i	0.185732	−	0.222598i
$371$	1.59761	−	4.91694i	0.0829439	−	0.255275i
$372$	0.232131	+	0.0754239i	0.0120354	+	0.00391055i
$373$	−7.17006	−	9.86874i	−0.371252	−	0.510984i	0.581989	−	0.813197i	$-0.302275\pi$
$373$	−7.17006	−	9.86874i	−0.371252	−	0.510984i	−0.953241	+	0.302213i	$0.902275\pi$
$374$	−40.7731			−2.10833
$375$	0.752650	+	0.822042i	0.0388667	+	0.0424501i
$376$	4.45236			0.229613
$377$	−6.97129	−	9.59515i	−0.359039	−	0.494175i
$378$	1.27103	+	0.412982i	0.0653745	+	0.0212415i
$379$	6.03737	−	18.5811i	0.310119	−	0.954447i	−0.667599	−	0.744521i	$-0.732678\pi$
$379$	6.03737	−	18.5811i	0.310119	−	0.954447i	0.977717	−	0.209926i	$-0.0673223\pi$
$380$	1.43256	−	1.71691i	0.0734888	−	0.0880755i
$381$	0.397440	+	1.22319i	0.0203615	+	0.0626661i
$382$		−	1.94017i		−	0.0992677i
$383$	−19.3726	+	6.29454i	−0.989894	+	0.321636i	−0.758820	−	0.651300i	$-0.774224\pi$
$383$	−19.3726	+	6.29454i	−0.989894	+	0.321636i	−0.231074	+	0.972936i	$0.574224\pi$
$384$	−0.0806501	−	0.0585957i	−0.00411566	−	0.00299020i
$385$	25.8945	+	1.73856i	1.31971	+	0.0886051i
$386$	0.648955	−	0.471493i	0.0330309	−	0.0239984i
$387$	−1.81699	+	2.50087i	−0.0923627	+	0.127126i
$388$	−0.113303	+	0.155948i	−0.00575209	+	0.00791707i
$389$	−22.5550	+	16.3872i	−1.14358	+	0.830862i	−0.987614	−	0.156900i	$-0.949850\pi$
$389$	−22.5550	+	16.3872i	−1.14358	+	0.830862i	−0.155969	+	0.987762i	$0.549850\pi$
$390$	−0.478168	+	0.300640i	−0.0242130	+	0.0152235i
$391$	−34.6113	−	25.1465i	−1.75037	−	1.27172i
$392$	−1.89368	+	0.615293i	−0.0956452	+	0.0310770i
$393$		−	1.45045i		−	0.0731657i
$394$	4.33857	+	13.3528i	0.218574	+	0.672702i
$395$	−10.7713	−	17.1318i	−0.541963	−	0.861993i
$396$	−4.79173	+	14.7474i	−0.240793	+	0.741086i
$397$	30.5085	+	9.91282i	1.53118	+	0.497510i	0.948926	−	0.315497i	$-0.102171\pi$
$397$	30.5085	+	9.91282i	1.53118	+	0.497510i	0.582253	+	0.813008i	$0.302171\pi$
$398$	7.26152	+	9.99462i	0.363987	+	0.500985i
$399$	0.223109			0.0111694
$400$	−2.16689	+	4.50606i	−0.108345	+	0.225303i
$401$	−26.2989			−1.31330			−0.656651	−	0.754195i	$-0.728028\pi$
$401$	−26.2989			−1.31330			−0.656651	+	0.754195i	$0.728028\pi$
$402$	0.503151	+	0.692528i	0.0250949	+	0.0345402i
$403$	5.90023	+	1.91710i	0.293911	+	0.0954976i
$404$	5.19478	−	15.9879i	0.258450	−	0.795427i
$405$	18.4946	+	7.41270i	0.919005	+	0.368340i
$406$	−3.23715	−	9.96294i	−0.160657	−	0.494452i
$407$			12.9332i			0.641073i
$408$	0.745414	−	0.242200i	0.0369035	−	0.0119907i
$409$	28.0780	+	20.3999i	1.38837	+	1.00871i	0.996042	+	0.0888821i	$0.0283294\pi$
$409$	28.0780	+	20.3999i	1.38837	+	1.00871i	0.392326	+	0.919826i	$0.371671\pi$
$410$	−16.1443	−	13.4706i	−0.797311	−	0.665263i
$411$	0.244196	−	0.177419i	0.0120453	−	0.00875142i
$412$	−9.41591	+	12.9599i	−0.463889	+	0.638488i
$413$	16.3449	−	22.4968i	0.804280	−	1.10700i
$414$	−13.1630	+	9.56344i	−0.646924	+	0.470018i
$415$	3.21086	−	8.01107i	0.157615	−	0.393248i
$416$	−2.04994	−	1.48937i	−0.100506	−	0.0730222i
$417$	1.57780	−	0.512657i	0.0772650	−	0.0251049i
$418$			5.18596i			0.253654i
$419$	−3.30940	−	10.1853i	−0.161675	−	0.497584i	0.837101	−	0.547048i	$-0.184249\pi$
$419$	−3.30940	−	10.1853i	−0.161675	−	0.497584i	−0.998776	+	0.0494641i	$0.984249\pi$
$420$	−0.483731	+	0.122034i	−0.0236037	+	0.00595464i
$421$	1.04660	−	3.22109i	0.0510079	−	0.156986i	−0.922308	−	0.386456i	$-0.873699\pi$
$421$	1.04660	−	3.22109i	0.0510079	−	0.156986i	0.973316	+	0.229470i	$0.0736992\pi$
$422$	20.5777	+	6.68609i	1.00170	+	0.325474i
$423$	7.82509	+	10.7703i	0.380469	+	0.523671i
$424$	−2.31004			−0.112185
$425$	−18.6477	−	34.6067i	−0.904545	−	1.67867i
$426$	−1.28806			−0.0624067
$427$	6.78737	+	9.34201i	0.328464	+	0.452091i
$428$	−14.9928	−	4.87147i	−0.724706	−	0.235471i
$429$	0.404801	−	1.24585i	0.0195440	−	0.0601502i
$430$	0.154861	−	2.30654i	0.00746808	−	0.111231i
$431$	7.05933	+	21.7264i	0.340036	+	1.04652i	0.964188	+	0.265220i	$0.0854447\pi$
$431$	7.05933	+	21.7264i	0.340036	+	1.04652i	−0.624152	+	0.781303i	$0.714555\pi$
$432$		−	0.597143i		−	0.0287301i
$433$	2.56857	−	0.834578i	0.123438	−	0.0401073i	−0.246647	−	0.969105i	$-0.579329\pi$
$433$	2.56857	−	0.834578i	0.123438	−	0.0401073i	0.370084	+	0.928998i	$0.379329\pi$
$434$	4.43309	+	3.22083i	0.212795	+	0.154605i
$435$	0.255224	+	1.01169i	0.0122371	+	0.0485066i
$436$	−12.3351	+	8.96194i	−0.590742	+	0.429199i
$437$	−3.19841	+	4.40223i	−0.153001	+	0.210587i
$438$	0.894428	−	1.23107i	0.0427374	−	0.0588230i
$439$	1.40082	−	1.01775i	0.0668573	−	0.0485747i	−0.553855	−	0.832613i	$-0.686844\pi$
$439$	1.40082	−	1.01775i	0.0668573	−	0.0485747i	0.620712	+	0.784039i	$0.286844\pi$
$440$	−2.83657	−	11.2439i	−0.135228	−	0.536031i
$441$	−4.81657	−	3.49944i	−0.229360	−	0.166640i
$442$	18.9467	−	6.15615i	0.901202	−	0.292818i
$443$			23.4122i			1.11235i	0.831067	+	0.556173i	$0.187731\pi$
$443$			23.4122i			1.11235i	−0.831067	+	0.556173i	$0.812269\pi$
$444$	−0.0768253	−	0.236444i	−0.00364597	−	0.0112211i
$445$	1.09945	−	16.3754i	0.0521187	−	0.776269i
$446$	2.74309	−	8.44238i	0.129889	−	0.399758i
$447$	−0.605584	−	0.196766i	−0.0286432	−	0.00930672i
$448$	−1.31549	−	1.81062i	−0.0621512	−	0.0855438i
$449$	−9.42465			−0.444777			−0.222388	−	0.974958i	$-0.571385\pi$
$449$	−9.42465			−0.444777			−0.222388	+	0.974958i	$0.571385\pi$
$450$	−14.7086	+	2.67773i	−0.693368	+	0.126229i
$451$	48.7643			2.29622
$452$	−10.0609	−	13.8476i	−0.473224	−	0.651337i
$453$	0.479741	+	0.155877i	0.0225402	+	0.00732376i
$454$	−2.13950	+	6.58471i	−0.100412	+	0.309036i
$455$	−12.2953	+	3.10182i	−0.576413	+	0.145415i
$456$	−0.0308056	−	0.0948098i	−0.00144260	−	0.00443988i
$457$			4.12917i			0.193155i	0.995325	+	0.0965773i	$0.0307895\pi$
$457$			4.12917i			0.193155i	−0.995325	+	0.0965773i	$0.969210\pi$
$458$	20.0882	−	6.52705i	0.938660	−	0.304989i
$459$	3.79822	+	2.75957i	0.177286	+	0.128806i
$460$	4.52671	−	11.2941i	0.211059	−	0.526589i
$461$	−11.6018	+	8.42919i	−0.540349	+	0.392587i	−0.824215	−	0.566277i	$-0.808383\pi$
$461$	−11.6018	+	8.42919i	−0.540349	+	0.392587i	0.283866	+	0.958864i	$0.408383\pi$
$462$	0.680088	−	0.936061i	0.0316406	−	0.0435495i
$463$	−12.0653	+	16.6065i	−0.560723	+	0.771770i	−0.991418	−	0.130728i	$-0.958269\pi$
$463$	−12.0653	+	16.6065i	−0.560723	+	0.771770i	0.430695	+	0.902498i	$0.358269\pi$
$464$	−3.78677	+	2.75125i	−0.175796	+	0.127724i
$465$	−0.419057	−	0.349655i	−0.0194333	−	0.0162149i
$466$	−4.85470	−	3.52715i	−0.224890	−	0.163392i
$467$	8.53726	−	2.77393i	0.395058	−	0.128362i	−0.104750	−	0.994499i	$-0.533404\pi$
$467$	8.53726	−	2.77393i	0.395058	−	0.128362i	0.499807	+	0.866137i	$0.333404\pi$
$468$		−	7.57640i		−	0.350219i
$469$	5.93861	+	18.2772i	0.274219	+	0.843961i
$470$	−9.24115	−	3.70388i	−0.426263	−	0.170847i
$471$	−0.552124	+	1.69926i	−0.0254405	+	0.0782979i
$472$	−11.8168	−	3.83951i	−0.543912	−	0.176728i
$473$	3.15138	+	4.33751i	0.144901	+	0.199439i
$474$	−0.902192			−0.0414390
$475$	−4.40165	+	2.37181i	−0.201961	+	0.108826i
$476$	17.5960			0.806512
$477$	−4.05993	−	5.58801i	−0.185891	−	0.255857i
$478$	−18.4846	−	6.00602i	−0.845468	−	0.274709i
$479$	3.18421	−	9.80001i	0.145490	−	0.447774i	−0.851583	−	0.524219i	$-0.824357\pi$
$479$	3.18421	−	9.80001i	0.145490	−	0.447774i	0.997074	+	0.0764457i	$0.0243572\pi$
$480$	0.118649	+	0.188711i	0.00541556	+	0.00861345i
$481$	−1.95272	−	6.00986i	−0.0890364	−	0.274026i
$482$			14.5827i			0.664224i
$483$	1.15462	−	0.375158i	0.0525370	−	0.0170703i
$484$	12.8587	+	9.34239i	0.584486	+	0.424654i
$485$	0.364899	−	0.229424i	0.0165692	−	0.0104176i
$486$	2.16794	−	1.57510i	0.0983398	−	0.0714481i
$487$	−0.0659105	+	0.0907180i	−0.00298669	+	0.00411082i	−0.810508	−	0.585728i	$-0.800809\pi$
$487$	−0.0659105	+	0.0907180i	−0.00298669	+	0.00411082i	0.807521	+	0.589839i	$0.200809\pi$
$488$	3.03271	−	4.17417i	0.137285	−	0.188956i
$489$	1.11756	−	0.811958i	0.0505380	−	0.0367180i
$490$	4.44230	+	0.298256i	0.200683	+	0.0134739i
$491$	−11.8840	−	8.63424i	−0.536318	−	0.389658i	0.286398	−	0.958111i	$-0.407542\pi$
$491$	−11.8840	−	8.63424i	−0.536318	−	0.389658i	−0.822716	+	0.568453i	$0.807542\pi$
$492$	−0.891510	+	0.289669i	−0.0401924	+	0.0130593i
$493$		−	36.8007i		−	1.65742i
$494$	−0.783006	−	2.40985i	−0.0352291	−	0.108424i
$495$	22.2138	−	26.6230i	0.998435	−	1.19661i
$496$	0.756592	−	2.32855i	0.0339720	−	0.104555i
$497$	−27.5021	−	8.93596i	−1.23364	−	0.400833i
$498$	−0.226162	−	0.311286i	−0.0101346	−	0.0139491i
$499$	24.5126			1.09733			0.548667	−	0.836041i	$-0.315135\pi$
$499$	24.5126			1.09733			0.548667	+	0.836041i	$0.315135\pi$
$500$	8.24607	−	7.54999i	0.368776	−	0.337646i
$501$	−0.315730			−0.0141058
$502$	4.28665	+	5.90007i	0.191323	+	0.263333i
$503$	21.2730	+	6.91202i	0.948517	+	0.308192i	0.742113	−	0.670275i	$-0.233824\pi$
$503$	21.2730	+	6.91202i	0.948517	+	0.308192i	0.206404	+	0.978467i	$0.433824\pi$
$504$	2.06791	−	6.36438i	0.0921122	−	0.283492i
$505$	−24.0823	+	28.8623i	−1.07165	+	1.28436i
$506$	8.72022	+	26.8381i	0.387661	+	1.19310i
$507$		−	0.655908i		−	0.0291299i
$508$	12.2701	−	3.98680i	0.544398	−	0.176886i
$509$	−14.5709	−	10.5863i	−0.645842	−	0.469232i	0.216010	−	0.976391i	$-0.430696\pi$
$509$	−14.5709	−	10.5863i	−0.645842	−	0.469232i	−0.861852	+	0.507159i	$0.830696\pi$
$510$	−1.74864	−	0.117404i	−0.0774310	−	0.00519872i
$511$	27.6380	−	20.0802i	1.22263	−	0.888296i
$512$	−0.587785	+	0.809017i	−0.0259767	+	0.0357538i
$513$	0.350992	−	0.483099i	0.0154967	−	0.0213293i
$514$	−2.50847	+	1.82251i	−0.110644	+	0.0803873i
$515$	30.3245	−	19.0660i	1.33626	−	0.840150i
$516$	−0.0833792	−	0.0605786i	−0.00367057	−	0.00266682i
$517$	21.9597	−	7.13514i	0.965786	−	0.313803i
$518$		−	5.58142i		−	0.245234i
$519$	0.293118	+	0.902125i	0.0128665	+	0.0395989i
$520$	3.01578	+	4.79660i	0.132251	+	0.210345i
$521$	5.62103	−	17.2998i	0.246262	−	0.757916i	−0.749164	−	0.662384i	$-0.769545\pi$
$521$	5.62103	−	17.2998i	0.246262	−	0.757916i	0.995426	−	0.0955321i	$-0.0304553\pi$
$522$	−13.3106	−	4.32488i	−0.582589	−	0.189295i
$523$	22.3577	+	30.7728i	0.977635	+	1.34560i	0.938094	+	0.346381i	$0.112590\pi$
$523$	22.3577	+	30.7728i	0.977635	+	1.34560i	0.0395409	+	0.999218i	$0.487410\pi$
$524$	−14.5498			−0.635611
$525$	1.10553	+	0.149123i	0.0482494	+	0.00650827i
$526$	21.4178			0.933861
$527$	11.3147	+	15.5733i	0.492875	+	0.678385i
$528$	−0.491680	−	0.159757i	−0.0213976	−	0.00695252i
$529$	−2.04244	+	6.28599i	−0.0888019	+	0.273304i
$530$	4.79463	+	1.92170i	0.208265	+	0.0834734i
$531$	−11.4804	−	35.3330i	−0.498206	−	1.53332i
$532$		−	2.23805i		−	0.0970318i
$533$	−22.6601	+	7.36271i	−0.981518	+	0.318914i
$534$	−0.591955	−	0.430080i	−0.0256164	−	0.0186114i
$535$	27.0660	+	22.5834i	1.17017	+	0.976367i
$536$	6.94689	−	5.04721i	0.300060	−	0.218006i
$537$	−0.720639	+	0.991874i	−0.0310979	+	0.0428025i
$538$	15.0048	−	20.6523i	0.646903	−	0.890385i
$539$	−8.35386	+	6.06943i	−0.359826	+	0.261429i
$540$	−0.496759	+	1.23941i	−0.0213771	+	0.0533356i
$541$	19.7385	+	14.3409i	0.848627	+	0.616563i	0.924767	−	0.380534i	$-0.124260\pi$
$541$	19.7385	+	14.3409i	0.848627	+	0.616563i	−0.0761405	+	0.997097i	$0.524260\pi$
$542$	−21.1307	+	6.86577i	−0.907640	+	0.294910i
$543$		−	1.22487i		−	0.0525642i
$544$	−2.42955	−	7.47740i	−0.104166	−	0.320591i
$545$	33.0575	−	8.33963i	1.41603	−	0.357231i
$546$	−0.174696	+	0.537658i	−0.00747628	+	0.0230096i
$547$	0.631882	+	0.205311i	0.0270173	+	0.00877846i	0.322494	−	0.946571i	$-0.395479\pi$
$547$	0.631882	+	0.205311i	0.0270173	+	0.00877846i	−0.295477	+	0.955350i	$0.595479\pi$
$548$	−1.77972	−	2.44958i	−0.0760260	−	0.104641i
$549$	15.4274			0.658426
$550$	−3.46623	+	25.6971i	−0.147801	+	1.09573i
$551$	−4.68071			−0.199405
$552$	−0.318846	−	0.438854i	−0.0135710	−	0.0186789i
$553$	−19.2632	−	6.25899i	−0.819154	−	0.266159i
$554$	−1.71017	+	5.26336i	−0.0726581	+	0.223619i
$555$	−0.0372402	+	0.554665i	−0.00158076	+	0.0235442i
$556$	−5.14257	−	15.8272i	−0.218093	−	0.671222i
$557$			1.45640i			0.0617096i	0.999524	+	0.0308548i	$0.00982295\pi$
$557$			1.45640i			0.0617096i	−0.999524	+	0.0308548i	$0.990177\pi$
$558$	6.96251	−	2.26226i	0.294747	−	0.0957690i
$559$	−2.11931	−	1.53977i	−0.0896371	−	0.0651252i
$560$	1.22415	+	4.85240i	0.0517296	+	0.205051i
$561$	3.28835	−	2.38913i	0.138834	−	0.100869i
$562$	17.8133	−	24.5179i	0.751408	−	1.03422i
$563$	8.36945	−	11.5196i	0.352730	−	0.485491i	−0.595375	−	0.803448i	$-0.702997\pi$
$563$	8.36945	−	11.5196i	0.352730	−	0.485491i	0.948105	+	0.317956i	$0.102997\pi$
$564$	−0.359083	+	0.260889i	−0.0151201	+	0.0109854i
$565$	9.36225	+	37.1111i	0.393873	+	1.56128i
$566$	12.0947	+	8.78734i	0.508380	+	0.369359i
$567$	18.9664	−	6.16257i	0.796516	−	0.258804i
$568$			12.9208i			0.542144i
$569$	−9.16601	−	28.2101i	−0.384259	−	1.18263i	−0.937016	−	0.349286i	$-0.886424\pi$
$569$	−9.16601	−	28.2101i	−0.384259	−	1.18263i	0.552757	−	0.833343i	$-0.313576\pi$
$570$	−0.0149327	+	0.222411i	−0.000625460	+	0.00931575i
$571$	−3.31349	+	10.1979i	−0.138665	+	0.426768i	−0.996142	−	0.0877546i	$-0.972031\pi$
$571$	−3.31349	+	10.1979i	−0.138665	+	0.426768i	0.857477	+	0.514523i	$0.172031\pi$
$572$	−12.4974	−	4.06064i	−0.522541	−	0.169784i
$573$	0.113686	+	0.156475i	0.00474928	+	0.00653683i
$574$	−21.0447			−0.878388
$575$	−18.7909	+	19.6758i	−0.783635	+	0.820539i
$576$	−2.99006			−0.124586
$577$	6.11384	+	8.41497i	0.254522	+	0.350320i	0.917089	−	0.398683i	$-0.130533\pi$
$577$	6.11384	+	8.41497i	0.254522	+	0.350320i	−0.662566	+	0.749003i	$0.730533\pi$
$578$	42.6209	+	13.8484i	1.77279	+	0.576016i
$579$	−0.0247108	+	0.0760519i	−0.00102694	+	0.00316061i
$580$	10.1484	−	2.56020i	0.421390	−	0.106307i
$581$	−2.66936	−	8.21544i	−0.110744	−	0.340834i
$582$		−	0.0192163i		−	0.000796541i
$583$	−11.3934	+	3.70195i	−0.471868	+	0.153319i
$584$	−12.3492	−	8.97219i	−0.511012	−	0.371272i
$585$	−6.30275	+	15.7253i	−0.260587	+	0.650161i
$586$	0.984991	−	0.715638i	0.0406896	−	0.0295627i
$587$	8.86710	−	12.2045i	0.365984	−	0.503734i	−0.585819	−	0.810442i	$-0.699227\pi$
$587$	8.86710	−	12.2045i	0.365984	−	0.503734i	0.951804	+	0.306707i	$0.0992272\pi$
$588$	0.116672	−	0.160585i	0.00481146	−	0.00662241i
$589$	1.98078	−	1.43912i	0.0816168	−	0.0592981i
$590$	21.3324	+	17.7994i	0.878243	+	0.732791i
$591$	−1.13232	−	0.822679i	−0.0465774	−	0.0338405i
$592$	−2.37182	+	0.770650i	−0.0974811	+	0.0316735i
$593$			18.1913i			0.747029i	0.927624	+	0.373515i	$0.121847\pi$
$593$			18.1913i			0.747029i	−0.927624	+	0.373515i	$0.878153\pi$
$594$	−0.956952	−	2.94520i	−0.0392642	−	0.120843i
$595$	−36.5216	−	14.6380i	−1.49724	−	0.600098i
$596$	−1.97380	+	6.07474i	−0.0808501	+	0.248831i
$597$	−1.17128	−	0.380573i	−0.0479374	−	0.0155758i
$598$	−8.10433	−	11.1546i	−0.331411	−	0.456148i
$599$	−2.46390			−0.100672			−0.0503361	−	0.998732i	$-0.516029\pi$
$599$	−2.46390			−0.100672			−0.0503361	+	0.998732i	$0.516029\pi$
$600$	−0.0892758	−	0.490385i	−0.00364467	−	0.0200199i
$601$	38.3346			1.56370			0.781851	−	0.623466i	$-0.214276\pi$
$601$	38.3346			1.56370			0.781851	+	0.623466i	$0.214276\pi$
$602$	−1.36001	−	1.87189i	−0.0554298	−	0.0762926i
$603$	24.4185	+	7.93405i	0.994398	+	0.323100i
$604$	1.56364	−	4.81238i	0.0636235	−	0.195813i
$605$	−18.9172	−	30.0878i	−0.769092	−	1.22324i
$606$	0.517862	+	1.59382i	0.0210367	+	0.0647443i
$607$		−	26.2369i		−	1.06492i	−0.846454	−	0.532461i	$-0.821267\pi$
$607$		−	26.2369i		−	1.06492i	0.846454	−	0.532461i	$-0.178733\pi$
$608$	−0.951057	+	0.309017i	−0.0385704	+	0.0125323i
$609$	0.844862	+	0.613828i	0.0342355	+	0.0248736i
$610$	−9.76705	+	6.14086i	−0.395456	+	0.248636i
$611$	−9.12706	+	6.63120i	−0.369241	+	0.268270i
$612$	13.8179	−	19.0188i	0.558557	−	0.768788i
$613$	23.6859	−	32.6008i	0.956663	−	1.31673i	0.00815970	−	0.999967i	$-0.497403\pi$
$613$	23.6859	−	32.6008i	0.956663	−	1.31673i	0.948503	−	0.316767i	$-0.102597\pi$
$614$	−24.3297	+	17.6766i	−0.981866	+	0.713368i
$615$	2.09136	+	0.140414i	0.0843316	+	0.00566203i
$616$	−9.38981	−	6.82210i	−0.378326	−	0.274870i
$617$	−1.72625	+	0.560893i	−0.0694963	+	0.0225807i	−0.343559	−	0.939131i	$-0.611632\pi$
$617$	−1.72625	+	0.560893i	−0.0694963	+	0.0225807i	0.274063	+	0.961712i	$0.411632\pi$
$618$		−	1.59695i		−	0.0642387i
$619$	4.13171	+	12.7161i	0.166068	+	0.511103i	0.999113	−	0.0421007i	$-0.0134050\pi$
$619$	4.13171	+	12.7161i	0.166068	+	0.511103i	−0.833046	+	0.553204i	$0.813405\pi$
$620$	−3.50746	+	4.20365i	−0.140863	+	0.168823i
$621$	1.00410	−	3.09030i	0.0402931	−	0.124009i
$622$	−1.69977	−	0.552289i	−0.0681546	−	0.0221448i
$623$	−9.65545	−	13.2896i	−0.386837	−	0.532436i
$624$	0.252598			0.0101120
$625$	−23.3960	+	8.81062i	−0.935840	+	0.352425i
$626$	−11.2400			−0.449240
$627$	−0.303875	−	0.418248i	−0.0121356	−	0.0167032i
$628$	17.0457	+	5.53847i	0.680196	+	0.221009i
$629$	6.05901	−	18.6477i	0.241589	−	0.743533i
$630$	−9.58656	+	11.4894i	−0.381938	+	0.457748i
$631$	0.515087	+	1.58528i	0.0205053	+	0.0631088i	0.960786	−	0.277292i	$-0.0894371\pi$
$631$	0.515087	+	1.58528i	0.0205053	+	0.0631088i	−0.940280	+	0.340401i	$0.889437\pi$
$632$			9.05007i			0.359992i
$633$	−2.05137	+	0.666529i	−0.0815345	+	0.0264922i
$634$	−4.18738	−	3.04231i	−0.166302	−	0.120826i
$635$	−28.7839	−	1.93256i	−1.14226	−	0.0766911i
$636$	0.186305	−	0.135358i	0.00738746	−	0.00536731i
$637$	2.96552	−	4.08169i	0.117498	−	0.161723i
$638$	−14.2679	+	19.6381i	−0.564871	+	0.777478i
$639$	−31.2555	+	22.7085i	−1.23645	+	0.898333i
$640$	1.89300	−	1.19019i	0.0748274	−	0.0470464i
$641$	−0.199994	−	0.145304i	−0.00789927	−	0.00573916i	0.583829	−	0.811877i	$-0.301554\pi$
$641$	−0.199994	−	0.145304i	−0.00789927	−	0.00573916i	−0.591728	+	0.806138i	$0.701554\pi$
$642$	1.49462	−	0.485631i	0.0589879	−	0.0191663i
$643$		−	38.7377i		−	1.52766i	−0.645415	−	0.763832i	$-0.723316\pi$
$643$		−	38.7377i		−	1.52766i	0.645415	−	0.763832i	$-0.276684\pi$
$644$	−3.76329	−	11.5822i	−0.148294	−	0.456403i
$645$	0.122664	+	0.195097i	0.00482989	+	0.00768194i
$646$	2.42955	−	7.47740i	0.0955895	−	0.294194i
$647$	2.67662	+	0.869685i	0.105229	+	0.0341909i	0.361158	−	0.932505i	$-0.382381\pi$
$647$	2.67662	+	0.869685i	0.105229	+	0.0341909i	−0.255929	+	0.966695i	$0.582381\pi$
$648$	−5.23755	−	7.20887i	−0.205751	−	0.283191i
$649$	−64.4352			−2.52930
$650$	−2.26918	−	12.4644i	−0.0890047	−	0.488895i
$651$	−0.546256			−0.0214095
$652$	−8.14492	−	11.2105i	−0.318980	−	0.439038i
$653$	7.85620	+	2.55263i	0.307437	+	0.0998923i	0.458672	−	0.888605i	$-0.348325\pi$
$653$	7.85620	+	2.55263i	0.307437	+	0.0998923i	−0.151236	+	0.988498i	$0.548325\pi$
$654$	0.469692	−	1.44556i	0.0183664	−	0.0565260i
$655$	30.1990	+	12.1039i	1.17997	+	0.472937i
$656$	2.90573	+	8.94291i	0.113450	+	0.349162i
$657$		−	45.6415i		−	1.78064i
$658$	−9.47691	+	3.07923i	−0.369448	+	0.120041i
$659$	−5.97863	−	4.34373i	−0.232894	−	0.169208i	0.465217	−	0.885196i	$-0.345976\pi$
$659$	−5.97863	−	4.34373i	−0.232894	−	0.169208i	−0.698112	+	0.715989i	$0.745976\pi$
$660$	0.887613	+	0.740610i	0.0345503	+	0.0288282i
$661$	−12.3616	+	8.98120i	−0.480809	+	0.349328i	−0.801639	−	0.597809i	$-0.796038\pi$
$661$	−12.3616	+	8.98120i	−0.480809	+	0.349328i	0.320830	+	0.947137i	$0.396038\pi$
$662$	13.8151	−	19.0148i	0.536937	−	0.739031i
$663$	−1.16733	+	1.60669i	−0.0453353	+	0.0623986i
$664$	−3.12257	+	2.26868i	−0.121179	+	0.0880419i
$665$	−1.86182	+	4.64521i	−0.0721981	+	0.180134i
$666$	−6.03272	−	4.38302i	−0.233763	−	0.169839i
$667$	−24.2233	+	7.87062i	−0.937929	+	0.304752i
$668$			3.16715i			0.122541i
$669$	0.273456	+	0.841612i	0.0105724	+	0.0325386i
$670$	−18.6174	+	4.69673i	−0.719254	+	0.181451i
$671$	8.26846	−	25.4477i	0.319200	−	0.982398i
$672$	0.212189	+	0.0689444i	0.00818538	+	0.00265959i
$673$	−5.67920	−	7.81674i	−0.218917	−	0.301313i	0.685407	−	0.728160i	$-0.259624\pi$
$673$	−5.67920	−	7.81674i	−0.218917	−	0.301313i	−0.904324	+	0.426847i	$0.859624\pi$
$674$	16.8459			0.648879
$675$	2.06211	−	2.15922i	0.0793705	−	0.0831083i
$676$	−6.57955			−0.253059
$677$	18.7168	+	25.7614i	0.719344	+	0.990092i	0.999545	+	0.0301509i	$0.00959879\pi$
$677$	18.7168	+	25.7614i	0.719344	+	0.990092i	−0.280201	+	0.959941i	$0.590401\pi$
$678$	1.62282	+	0.527286i	0.0623240	+	0.0202503i
$679$	0.133314	−	0.410297i	0.00511611	−	0.0157458i
$680$	−1.17770	+	17.5409i	−0.0451627	+	0.672664i
$681$	−0.213285	−	0.656423i	−0.00817309	−	0.0251542i
$682$		−	12.6972i		−	0.486202i
$683$	−26.4449	+	8.59247i	−1.01189	+	0.328782i	−0.767605	−	0.640923i	$-0.778552\pi$
$683$	−26.4449	+	8.59247i	−1.01189	+	0.328782i	−0.244281	+	0.969705i	$0.578552\pi$
$684$	−2.41901	−	1.75751i	−0.0924932	−	0.0672002i
$685$	1.65614	+	6.56479i	0.0632779	+	0.250828i
$686$	16.2795	−	11.8278i	0.621555	−	0.451586i
$687$	−1.23766	+	1.70349i	−0.0472196	+	0.0649922i
$688$	−0.607676	+	0.836394i	−0.0231674	+	0.0318872i
$689$	4.73543	−	3.44049i	0.180406	−	0.131072i
$690$	0.296706	+	1.17611i	0.0112954	+	0.0447739i
$691$	−8.08770	−	5.87606i	−0.307671	−	0.223536i	0.423226	−	0.906024i	$-0.360898\pi$
$691$	−8.08770	−	5.87606i	−0.307671	−	0.223536i	−0.730896	+	0.682488i	$0.760898\pi$
$692$	9.04940	−	2.94033i	0.344006	−	0.111774i
$693$		−	34.7040i		−	1.31830i
$694$	−1.34001	−	4.12413i	−0.0508661	−	0.156550i
$695$	−2.49280	+	37.1284i	−0.0945573	+	1.40836i
$696$	0.144192	−	0.443777i	0.00546558	−	0.0168213i
$697$	−70.3110	−	22.8454i	−2.66322	−	0.865332i
$698$	10.9380	+	15.0549i	0.414010	+	0.569836i
$699$	0.598208			0.0226263
$700$	1.49588	−	11.0898i	0.0565391	−	0.419156i
$701$	29.9343			1.13060			0.565302	−	0.824884i	$-0.308760\pi$
$701$	29.9343			1.13060			0.565302	+	0.824884i	$0.308760\pi$
$702$	0.889365	+	1.22411i	0.0335669	+	0.0462009i
$703$	−2.37182	−	0.770650i	−0.0894548	−	0.0290656i
$704$	−1.60255	+	4.93215i	−0.0603984	+	0.185887i
$705$	0.962331	−	0.242773i	0.0362435	−	0.00914337i
$706$	5.62058	+	17.2984i	0.211533	+	0.651033i
$707$			37.6231i			1.41496i
$708$	1.17800	−	0.382757i	0.0442721	−	0.0143849i
$709$	38.1102	+	27.6887i	1.43126	+	1.03987i	0.989781	+	0.142598i	$0.0455455\pi$
$709$	38.1102	+	27.6887i	1.43126	+	1.03987i	0.441478	+	0.897272i	$0.354454\pi$
$710$	10.7487	−	26.8179i	0.403392	−	1.00646i
$711$	−21.8922	+	15.9056i	−0.821022	+	0.596508i
$712$	−4.31422	+	5.93802i	−0.161682	+	0.222537i
$713$	7.83094	−	10.7784i	0.293271	−	0.403653i
$714$	−1.41912	+	1.03105i	−0.0531092	+	0.0385861i
$715$	22.5611	+	18.8246i	0.843735	+	0.703999i
$716$	9.94969	+	7.22887i	0.371837	+	0.270156i
$717$	1.84271	−	0.598734i	0.0688174	−	0.0223601i
$718$		−	3.30220i		−	0.123237i
$719$	−4.21775	−	12.9809i	−0.157296	−	0.484106i	0.841091	−	0.540894i	$-0.181914\pi$
$719$	−4.21775	−	12.9809i	−0.157296	−	0.484106i	−0.998386	+	0.0567882i	$0.981914\pi$
$720$	6.20606	+	2.48741i	0.231286	+	0.0927002i
$721$	11.0789	−	34.0973i	0.412599	−	1.26985i
$722$	−0.951057	−	0.309017i	−0.0353947	−	0.0115004i
$723$	−0.854484	−	1.17610i	−0.0317786	−	0.0437395i
$724$	−12.2869			−0.456640
$725$	−23.1935	−	3.12852i	−0.861384	−	0.116190i
$726$	−1.58448			−0.0588055
$727$	14.5538	+	20.0315i	0.539769	+	0.742928i	0.988580	−	0.150699i	$-0.0481523\pi$
$727$	14.5538	+	20.0315i	0.539769	+	0.742928i	−0.448811	+	0.893627i	$0.648152\pi$
$728$	5.39336	+	1.75241i	0.199891	+	0.0649485i
$729$	8.17808	−	25.1696i	0.302892	−	0.932206i
$730$	18.1675	+	28.8955i	0.672411	+	1.06947i
$731$	−2.51177	−	7.73043i	−0.0929011	−	0.285920i
$732$			0.514351i			0.0190110i
$733$	−17.1063	+	5.55816i	−0.631834	+	0.205295i	−0.607387	−	0.794406i	$-0.707782\pi$
$733$	−17.1063	+	5.55816i	−0.631834	+	0.205295i	−0.0244465	+	0.999701i	$0.507782\pi$
$734$	26.4880	+	19.2446i	0.977689	+	0.710333i
$735$	−0.375749	+	0.236246i	−0.0138597	+	0.00871405i
$736$	−4.40223	+	3.19841i	−0.162268	+	0.117895i
$737$	26.1746	−	36.0263i	0.964155	−	1.32705i
$738$	−16.5261	+	22.7463i	−0.608336	+	0.837302i
$739$	−7.89101	+	5.73316i	−0.290276	+	0.210898i	−0.723387	−	0.690443i	$-0.757416\pi$
$739$	−7.89101	+	5.73316i	−0.290276	+	0.210898i	0.433111	+	0.901340i	$0.357416\pi$
$740$	5.56395	+	0.373564i	0.204535	+	0.0137325i
$741$	0.204356	+	0.148473i	0.00750721	+	0.00545431i
$742$	4.91694	−	1.59761i	0.180507	−	0.0586502i
$743$			2.74780i			0.100807i	0.998729	+	0.0504035i	$0.0160507\pi$
$743$			2.74780i			0.100807i	−0.998729	+	0.0504035i	$0.983949\pi$
$744$	0.0754239	+	0.232131i	0.00276517	+	0.00851033i
$745$	9.15027	−	10.9665i	0.335240	−	0.401781i
$746$	3.76953	−	11.6014i	0.138012	−	0.424758i
$747$	−10.9759	−	3.56629i	−0.401588	−	0.130484i
$748$	−23.9658	−	32.9861i	−0.876277	−	1.20609i
$749$	35.2815			1.28916
$750$	−0.222650	+	1.09209i	−0.00813001	+	0.0398775i
$751$	−26.1458			−0.954074			−0.477037	−	0.878883i	$-0.658289\pi$
$751$	−26.1458			−0.954074			−0.477037	+	0.878883i	$0.658289\pi$
$752$	2.61703	+	3.60204i	0.0954334	+	0.131353i
$753$	−0.691437	−	0.224662i	−0.0251974	−	0.00818712i
$754$	3.66502	−	11.2798i	0.133472	−	0.410785i
$755$	−7.24880	+	8.68761i	−0.263811	+	0.316175i
$756$	0.412982	+	1.27103i	0.0150200	+	0.0462268i
$757$			41.0565i			1.49223i	0.665820	+	0.746113i	$0.268082\pi$
$757$			41.0565i			1.49223i	−0.665820	+	0.746113i	$0.731918\pi$
$758$	18.5811	−	6.03737i	0.674896	−	0.219287i
$759$	−2.27588	−	1.65352i	−0.0826093	−	0.0600191i
$760$	2.23105	+	0.149792i	0.0809285	+	0.00543354i
$761$	−16.6625	+	12.1060i	−0.604017	+	0.438844i	−0.847302	−	0.531111i	$-0.821775\pi$
$761$	−16.6625	+	12.1060i	−0.604017	+	0.438844i	0.243286	+	0.969955i	$0.421775\pi$
$762$	−0.755976	+	1.04051i	−0.0273861	+	0.0376937i
$763$	20.0573	−	27.6065i	0.726122	−	0.999422i
$764$	1.56963	−	1.14040i	0.0567872	−	0.0412583i
$765$	−44.5015	+	27.9796i	−1.60896	+	1.01160i
$766$	−16.4793	−	11.9729i	−0.595422	−	0.432599i
$767$	29.9421	−	9.72879i	1.08115	−	0.351286i
$768$		−	0.0996890i		−	0.00359722i
$769$	−6.09923	−	18.7715i	−0.219944	−	0.676918i	−0.998766	−	0.0496723i	$-0.984182\pi$
$769$	−6.09923	−	18.7715i	−0.219944	−	0.676918i	0.778822	−	0.627245i	$-0.215818\pi$
$770$	13.8139	+	21.9710i	0.497818	+	0.791780i
$771$	0.0955168	−	0.293971i	0.00343995	−	0.0105871i
$772$	0.762892	+	0.247879i	0.0274571	+	0.00892135i
$773$	−3.55028	−	4.88653i	−0.127695	−	0.175756i	0.740383	−	0.672186i	$-0.234644\pi$
$773$	−3.55028	−	4.88653i	−0.127695	−	0.175756i	−0.868077	+	0.496429i	$0.834644\pi$
$774$	−3.09124			−0.111112
$775$	10.7769	−	5.80711i	0.387119	−	0.208597i
$776$	−0.192763			−0.00691977
$777$	0.327047	+	0.450142i	0.0117328	+	0.0161488i
$778$	−26.5150	−	8.61524i	−0.950608	−	0.308871i
$779$	−2.90573	+	8.94291i	−0.104109	+	0.320413i
$780$	−0.524283	−	0.210134i	−0.0187723	−	0.00752401i
$781$	20.7062	+	63.7272i	0.740927	+	2.28034i
$782$		−	42.7819i		−	1.52988i
$783$	2.65825	−	0.863718i	0.0949982	−	0.0308668i
$784$	−1.61086	−	1.17036i	−0.0575307	−	0.0417985i
$785$	−30.7719	−	25.6756i	−1.09830	−	0.916401i
$786$	1.17344	−	0.852555i	0.0418553	−	0.0304096i
$787$	0.433750	−	0.597005i	0.0154615	−	0.0212809i	−0.801216	−	0.598375i	$-0.795813\pi$
$787$	0.433750	−	0.597005i	0.0154615	−	0.0212809i	0.816678	+	0.577094i	$0.195813\pi$
$788$	−8.25246	+	11.3585i	−0.293982	+	0.404631i
$789$	−1.72735	+	1.25499i	−0.0614952	+	0.0446789i
$790$	7.52868	−	18.7840i	0.267858	−	0.668304i
$791$	30.9916	+	22.5167i	1.10194	+	0.800603i
$792$	−14.7474	+	4.79173i	−0.524027	+	0.170267i
$793$			13.0736i			0.464258i
$794$	9.91282	+	30.5085i	0.351793	+	1.08271i
$795$	−0.499290	+	0.125959i	−0.0177080	+	0.00446731i
$796$	−3.81761	+	11.7494i	−0.135311	+	0.416446i
$797$	9.80724	+	3.18657i	0.347390	+	0.112874i	0.477515	−	0.878624i	$-0.341538\pi$
$797$	9.80724	+	3.18657i	0.347390	+	0.112874i	−0.130124	+	0.991498i	$0.541538\pi$
$798$	0.131140	+	0.180499i	0.00464231	+	0.00638959i
$799$	−35.0054			−1.23840
$800$	−4.91915	+	0.895543i	−0.173918	+	0.0316622i
$801$	−21.9464			−0.775439
$802$	−15.4581	−	21.2762i	−0.545844	−	0.751289i
$803$	−75.2862	−	24.4620i	−2.65679	−	0.863244i
$804$	−0.264522	+	0.814115i	−0.00932898	+	0.0287116i
$805$	−1.82421	+	27.1702i	−0.0642950	+	0.957625i
$806$	1.91710	+	5.90023i	0.0675270	+	0.207827i
$807$			2.54483i			0.0895822i
$808$	15.9879	−	5.19478i	0.562452	−	0.182752i
$809$	−27.4141	−	19.9175i	−0.963828	−	0.700262i	−0.00979120	−	0.999952i	$-0.503117\pi$
$809$	−27.4141	−	19.9175i	−0.963828	−	0.700262i	−0.954037	+	0.299690i	$0.903117\pi$
$810$	4.87386	+	19.3195i	0.171250	+	0.678819i
$811$	8.66239	−	6.29359i	0.304177	−	0.220998i	−0.425217	−	0.905092i	$-0.639802\pi$
$811$	8.66239	−	6.29359i	0.304177	−	0.220998i	0.729394	+	0.684094i	$0.239802\pi$
$812$	6.15743	−	8.47498i	0.216084	−	0.297414i
$813$	1.30188	−	1.79189i	0.0456591	−	0.0628444i
$814$	−10.4631	+	7.60192i	−0.366733	+	0.266447i
$815$	7.57934	+	30.0438i	0.265493	+	1.05239i
$816$	0.634087	+	0.460691i	0.0221975	+	0.0161274i
$817$	−0.983240	+	0.319474i	−0.0343992	+	0.0111770i
$818$			34.7063i			1.21348i
$819$	5.23981	+	16.1265i	0.183094	+	0.563504i
$820$	1.40852	−	20.9788i	0.0491876	−	0.732612i
$821$	−5.51485	+	16.9730i	−0.192470	+	0.592360i	0.807527	+	0.589830i	$0.200805\pi$
$821$	−5.51485	+	16.9730i	−0.192470	+	0.592360i	−0.999997	+	0.00253011i	$0.999195\pi$
$822$	0.287070	+	0.0932746i	0.0100127	+	0.00325332i
$823$	−26.4550	−	36.4122i	−0.922165	−	1.26925i	−0.962838	−	0.270079i	$-0.912950\pi$
$823$	−26.4550	−	36.4122i	−0.922165	−	1.26925i	0.0406733	−	0.999172i	$-0.487050\pi$
$824$	−16.0193			−0.558059
$825$	−1.22619	−	2.27558i	−0.0426904	−	0.0792255i
$826$	27.8076			0.967550
$827$	5.05397	+	6.95619i	0.175744	+	0.241890i	0.887797	−	0.460235i	$-0.152235\pi$
$827$	5.05397	+	6.95619i	0.175744	+	0.241890i	−0.712054	+	0.702125i	$0.752235\pi$
$828$	−15.4740	−	5.02780i	−0.537758	−	0.174728i
$829$	6.65726	−	20.4889i	0.231216	−	0.711610i	−0.766385	−	0.642382i	$-0.777946\pi$
$829$	6.65726	−	20.4889i	0.231216	−	0.711610i	0.997601	−	0.0692281i	$-0.0220536\pi$
$830$	8.36839	−	2.11114i	0.290471	−	0.0732789i
$831$	−0.170485	−	0.524699i	−0.00591406	−	0.0182016i
$832$		−	2.53386i		−	0.0878458i
$833$	14.8885	−	4.83756i	0.515855	−	0.167612i
$834$	1.34215	+	0.975132i	0.0464750	+	0.0337661i
$835$	2.63473	−	6.57362i	0.0911785	−	0.227489i
$836$	−4.19553	+	3.04823i	−0.145106	+	0.105425i
$837$	−0.859363	+	1.18281i	−0.0297039	+	0.0408840i
$838$	6.29486	−	8.66413i	0.217452	−	0.299297i
$839$	−0.320483	+	0.232844i	−0.0110643	+	0.00803868i	−0.593304	−	0.804979i	$-0.702177\pi$
$839$	−0.320483	+	0.232844i	−0.0110643	+	0.00803868i	0.582239	+	0.813017i	$0.302177\pi$
$840$	−0.383057	−	0.319617i	−0.0132167	−	0.0110278i
$841$	5.73674	+	4.16798i	0.197819	+	0.143724i
$842$	3.22109	−	1.04660i	0.111006	−	0.0360681i
$843$			3.02115i			0.104054i
$844$	6.68609	+	20.5777i	0.230145	+	0.708312i
$845$	13.6563	+	5.47347i	0.469789	+	0.188293i
$846$	−4.11389	+	12.6613i	−0.141439	+	0.435303i
$847$	−33.8311	−	10.9924i	−1.16245	−	0.377702i
$848$	−1.35781	−	1.86886i	−0.0466273	−	0.0641769i
$849$	−1.49034			−0.0511484
$850$	17.0365	−	35.4276i	0.584349	−	1.21516i
$851$	−13.5703			−0.465185
$852$	−0.757103	−	1.04206i	−0.0259379	−	0.0357005i
$853$	−43.8673	−	14.2534i	−1.50199	−	0.488026i	−0.561392	−	0.827550i	$-0.689734\pi$
$853$	−43.8673	−	14.2534i	−1.50199	−	0.488026i	−0.940597	+	0.339524i	$0.889734\pi$
$854$	−3.56833	+	10.9822i	−0.122106	+	0.375803i
$855$	3.55874	+	5.66019i	0.121706	+	0.193574i
$856$	−4.87147	−	14.9928i	−0.166503	−	0.512444i
$857$		−	29.1515i		−	0.995795i	−0.867236	−	0.497897i	$-0.834106\pi$
$857$		−	29.1515i		−	0.995795i	0.867236	−	0.497897i	$-0.165894\pi$
$858$	1.24585	−	0.404801i	0.0425326	−	0.0138197i
$859$	23.1130	+	16.7926i	0.788606	+	0.572956i	0.907549	−	0.419945i	$-0.137951\pi$
$859$	23.1130	+	16.7926i	0.788606	+	0.572956i	−0.118944	+	0.992901i	$0.537951\pi$
$860$	1.95706	−	1.23047i	0.0667351	−	0.0419586i
$861$	1.69726	−	1.23313i	0.0578423	−	0.0420249i
$862$	−13.4276	+	18.4816i	−0.457347	+	0.629485i
$863$	−27.4404	+	37.7685i	−0.934082	+	1.28565i	0.0241640	+	0.999708i	$0.492308\pi$
$863$	−27.4404	+	37.7685i	−0.934082	+	1.28565i	−0.958246	+	0.285945i	$0.907692\pi$
$864$	0.483099	−	0.350992i	0.0164354	−	0.0119410i
$865$	−21.2286	−	1.42529i	−0.721794	−	0.0484613i
$866$	2.18495	+	1.58746i	0.0742478	+	0.0539442i
$867$	−4.24883	+	1.38053i	−0.144298	+	0.0468852i
$868$			5.47961i			0.185990i
$869$	14.5032	+	44.6362i	0.491987	+	1.51418i
$870$	−0.668454	+	0.801134i	−0.0226627	+	0.0271610i
$871$	−6.72354	+	20.6929i	−0.227818	+	0.701153i
$872$	−14.5007	−	4.71157i	−0.491057	−	0.159554i
$873$	−0.338783	−	0.466295i	−0.0114661	−	0.0157817i
$874$	−5.44146			−0.184060
$875$	−12.3303	+	21.7732i	−0.416841	+	0.736068i
$876$	1.52169			0.0514132
$877$	25.3821	+	34.9355i	0.857093	+	1.17969i	0.982255	+	0.187551i	$0.0600551\pi$
$877$	25.3821	+	34.9355i	0.857093	+	1.17969i	−0.125162	+	0.992136i	$0.539945\pi$
$878$	1.64676	+	0.535064i	0.0555754	+	0.0180575i
$879$	−0.0375063	+	0.115432i	−0.00126506	+	0.00389344i
$880$	7.42921	−	8.90382i	0.250438	−	0.300148i
$881$	13.4638	+	41.4374i	0.453608	+	1.39606i	0.872762	+	0.488146i	$0.162327\pi$
$881$	13.4638	+	41.4374i	0.453608	+	1.39606i	−0.419154	+	0.907915i	$0.637673\pi$
$882$		−	5.95361i		−	0.200468i
$883$	−32.9876	+	10.7183i	−1.11012	+	0.360700i	−0.805989	−	0.591930i	$-0.798366\pi$
$883$	−32.9876	+	10.7183i	−1.11012	+	0.360700i	−0.304131	+	0.952630i	$0.598366\pi$
$884$	16.1170	+	11.7097i	0.542074	+	0.393840i
$885$	−2.76343	−	0.185537i	−0.0928918	−	0.00623676i
$886$	−18.9408	+	13.7613i	−0.636330	+	0.462321i
$887$	−20.8885	+	28.7506i	−0.701369	+	0.965351i	0.298571	+	0.954387i	$0.403490\pi$
$887$	−20.8885	+	28.7506i	−0.701369	+	0.965351i	−0.999940	+	0.0109637i	$0.996510\pi$
$888$	0.146130	−	0.201131i	0.00490382	−	0.00674953i
$889$	−23.3598	+	16.9719i	−0.783463	+	0.569219i
$890$	13.8942	−	8.73576i	0.465735	−	0.292823i
$891$	−37.3850	−	27.1618i	−1.25244	−	0.909953i
$892$	8.44238	−	2.74309i	0.282672	−	0.0918456i
$893$			4.45236i			0.148993i
$894$	−0.196766	−	0.605584i	−0.00658085	−	0.0202538i
$895$	−14.6376	−	23.2810i	−0.489279	−	0.778199i
$896$	0.691596	−	2.12851i	0.0231046	−	0.0711086i
$897$	1.30723	+	0.424744i	0.0436471	+	0.0141818i
$898$	−5.53967	−	7.62471i	−0.184861	−	0.254440i
$899$	11.4602			0.382218
$900$	−10.8118	−	10.3255i	−0.360393	−	0.344185i
$901$	18.1620			0.605064
$902$	28.6629	+	39.4512i	0.954372	+	1.31358i
$903$	0.219370	+	0.0712775i	0.00730016	+	0.00237197i
$904$	5.28931	−	16.2788i	0.175920	−	0.541426i
$905$	25.5023	+	10.2214i	0.847724	+	0.339770i
$906$	0.155877	+	0.479741i	0.00517868	+	0.0159383i
$907$		−	36.5751i		−	1.21446i	−0.794527	−	0.607229i	$-0.792281\pi$
$907$		−	36.5751i		−	1.21446i	0.794527	−	0.607229i	$-0.207719\pi$
$908$	−6.58471	+	2.13950i	−0.218521	+	0.0710019i
$909$	40.6652	+	29.5450i	1.34878	+	0.979945i
$910$	−9.73643	−	8.12392i	−0.322759	−	0.269305i
$911$	3.18852	−	2.31659i	0.105640	−	0.0767521i	−0.533711	−	0.845667i	$-0.679203\pi$
$911$	3.18852	−	2.31659i	0.105640	−	0.0767521i	0.639351	+	0.768915i	$0.279203\pi$
$912$	0.0585957	−	0.0806501i	0.00194030	−	0.00267059i
$913$	−11.7653	+	16.1935i	−0.389374	+	0.535928i
$914$	−3.34057	+	2.42707i	−0.110496	+	0.0802803i
$915$	0.427885	−	1.06757i	0.0141454	−	0.0352927i
$916$	17.0880	+	12.4152i	0.564605	+	0.410209i
$917$	30.9694	−	10.0626i	1.02270	−	0.332295i
$918$			4.69486i			0.154953i
$919$	0.335210	+	1.03167i	0.0110575	+	0.0340316i	0.956433	−	0.291952i	$-0.0943047\pi$
$919$	0.335210	+	1.03167i	0.0110575	+	0.0340316i	−0.945376	+	0.325983i	$0.894305\pi$
$920$	11.7978	−	2.97631i	0.388963	−	0.0981262i
$921$	0.926421	−	2.85123i	0.0305266	−	0.0939512i
$922$	−13.6387	−	4.43149i	−0.449167	−	0.145943i
$923$	−19.2438	−	26.4868i	−0.633417	−	0.871824i
$924$	1.15703			0.0380637
$925$	−11.2376	−	5.40396i	−0.369489	−	0.177681i
$926$	−20.5268			−0.674551
$927$	−28.1542	−	38.7509i	−0.924704	−	1.27275i
$928$	−4.45162	−	1.44642i	−0.146131	−	0.0474810i
$929$	0.405693	−	1.24859i	0.0133104	−	0.0409651i	−0.944181	−	0.329428i	$-0.893144\pi$
$929$	0.405693	−	1.24859i	0.0133104	−	0.0409651i	0.957491	+	0.288463i	$0.0931442\pi$
$930$	0.0365609	−	0.544547i	0.00119888	−	0.0178564i
$931$	−0.615293	−	1.89368i	−0.0201654	−	0.0620628i
$932$		−	6.00074i		−	0.196561i
$933$	0.169448	−	0.0550571i	0.00554749	−	0.00180249i
$934$	7.26223	+	5.27632i	0.237627	+	0.172646i
$935$	22.3017	+	88.4017i	0.729342	+	2.89105i
$936$	6.12944	−	4.45330i	0.200347	−	0.145561i
$937$	−28.5495	+	39.2950i	−0.932670	+	1.28371i	0.0261387	+	0.999658i	$0.491679\pi$
$937$	−28.5495	+	39.2950i	−0.932670	+	1.28371i	−0.958809	+	0.284052i	$0.908321\pi$
$938$	−11.2959	+	15.5475i	−0.368824	+	0.507643i
$939$	0.906506	−	0.658615i	0.0295827	−	0.0214931i
$940$	−2.43531	−	9.65334i	−0.0794310	−	0.314857i
$941$	12.4856	+	9.07135i	0.407020	+	0.295718i	0.772394	−	0.635143i	$-0.219059\pi$
$941$	12.4856	+	9.07135i	0.407020	+	0.295718i	−0.365374	+	0.930861i	$0.619059\pi$
$942$	−1.69926	+	0.552124i	−0.0553650	+	0.0179892i
$943$			51.1668i			1.66622i
$944$	−3.83951	−	11.8168i	−0.124965	−	0.384604i
$945$	0.200188	−	2.98165i	0.00651212	−	0.0969931i
$946$	−1.65678	+	5.09905i	−0.0538666	+	0.165784i
$947$	1.12412	+	0.365248i	0.0365289	+	0.0118690i	0.327224	−	0.944947i	$-0.393887\pi$
$947$	1.12412	+	0.365248i	0.0365289	+	0.0118690i	−0.290696	+	0.956816i	$0.593887\pi$
$948$	−0.530295	−	0.729889i	−0.0172232	−	0.0237057i
$949$	38.6779			1.25554
$950$	−4.50606	−	2.16689i	−0.146196	−	0.0703033i
$951$	0.515979			0.0167318
$952$	10.3427	+	14.2355i	0.335208	+	0.461374i
$953$	−34.3035	−	11.1459i	−1.11120	−	0.361051i	−0.304797	−	0.952417i	$-0.598589\pi$
$953$	−34.3035	−	11.1459i	−1.11120	−	0.361051i	−0.806403	+	0.591366i	$0.798589\pi$
$954$	2.13443	−	6.56910i	0.0691047	−	0.212682i
$955$	−4.20655	+	1.06121i	−0.136121	+	0.0343401i
$956$	−6.00602	−	18.4846i	−0.194249	−	0.597836i
$957$		−	2.41985i		−	0.0782225i
$958$	9.80001	−	3.18421i	0.316624	−	0.102877i
$959$	5.48228	+	3.98311i	0.177032	+	0.128621i
$960$	−0.0829304	+	0.206911i	−0.00267657	+	0.00667801i
$961$	20.2298	−	14.6978i	0.652574	−	0.474123i
$962$	3.71430	−	5.11229i	0.119754	−	0.164827i
$963$	27.7062	−	38.1343i	0.892818	−	1.22886i
$964$	−11.7977	+	8.57150i	−0.379977	+	0.276069i
$965$	−1.37722	−	1.14913i	−0.0443343	−	0.0369918i
$966$	0.982177	+	0.713594i	0.0316010	+	0.0229595i
$967$	23.7880	−	7.72919i	0.764971	−	0.248554i	0.0995601	−	0.995032i	$-0.468256\pi$
$967$	23.7880	−	7.72919i	0.764971	−	0.248554i	0.665411	+	0.746478i	$0.268256\pi$
$968$			15.8942i			0.510860i
$969$	0.242200	+	0.745414i	0.00778058	+	0.0239462i
$970$	0.400091	+	0.160358i	0.0128461	+	0.00514877i
$971$	2.51754	−	7.74819i	0.0807917	−	0.248651i	−0.902499	−	0.430691i	$-0.858270\pi$
$971$	2.51754	−	7.74819i	0.0807917	−	0.248651i	0.983291	+	0.182040i	$0.0582699\pi$
$972$	2.54857	+	0.828080i	0.0817454	+	0.0265607i
$973$	21.8920	+	30.1318i	0.701826	+	0.965981i
$974$	−0.112134			−0.00359299
$975$	0.913372	+	0.872293i	0.0292513	+	0.0279357i
$976$	5.15956			0.165154
$977$	8.67111	+	11.9348i	0.277414	+	0.381827i	0.924875	−	0.380271i	$-0.124169\pi$
$977$	8.67111	+	11.9348i	0.277414	+	0.381827i	−0.647461	+	0.762098i	$0.724169\pi$
$978$	1.31378	+	0.426872i	0.0420099	+	0.0136499i
$979$	−11.7624	+	36.2009i	−0.375928	+	1.15699i
$980$	2.36983	+	3.76921i	0.0757013	+	0.120403i
$981$	−14.0879	−	43.3581i	−0.449792	−	1.38432i
$982$		−	14.6894i		−	0.468759i
$983$	46.9408	−	15.2520i	1.49718	−	0.486463i	0.557986	−	0.829851i	$-0.311574\pi$
$983$	46.9408	−	15.2520i	1.49718	−	0.486463i	0.939194	+	0.343387i	$0.111574\pi$
$984$	−0.758363	−	0.550983i	−0.0241757	−	0.0175647i
$985$	26.5776	−	16.7102i	0.846831	−	0.532431i
$986$	29.7724	−	21.6309i	0.948145	−	0.688868i
$987$	0.583883	−	0.803647i	0.0185852	−	0.0255804i
$988$	1.48937	−	2.04994i	0.0473831	−	0.0652172i
$989$	−4.55120	+	3.30664i	−0.144720	+	0.105145i
$990$	34.5954	+	2.32273i	1.09951	+	0.0738214i
$991$	−12.2454	−	8.89680i	−0.388988	−	0.282616i	0.376053	−	0.926598i	$-0.377281\pi$
$991$	−12.2454	−	8.89680i	−0.388988	−	0.282616i	−0.765041	+	0.643982i	$0.777281\pi$
$992$	2.32855	−	0.756592i	0.0739316	−	0.0240218i
$993$			2.34305i			0.0743544i
$994$	−8.93596	−	27.5021i	−0.283431	−	0.872312i
$995$	17.6979	−	21.2107i	0.561061	−	0.672425i
$996$	0.118901	−	0.365938i	0.00376751	−	0.0115952i
$997$	12.0867	+	3.92720i	0.382789	+	0.124376i	0.494089	−	0.869411i	$-0.335502\pi$
$997$	12.0867	+	3.92720i	0.382789	+	0.124376i	−0.111300	+	0.993787i	$0.535502\pi$
$998$	14.4081	+	19.8311i	0.456082	+	0.627743i
$999$	1.48920			0.0471162

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.b.39.17	✓	96
25.9	even	10	inner	950.2.n.b.609.17	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.b.39.17	✓	96	1.1	even	1	trivial
950.2.n.b.609.17	yes	96	25.9	even	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.587785 + 0.809017i) q^{2} +(-0.0948098 - 0.0308056i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.43256 - 1.71691i) q^{5} +(-0.0308056 - 0.0948098i) q^{6} -2.23805i q^{7} +(-0.951057 + 0.309017i) q^{8} +(-2.41901 - 1.75751i) q^{9} +O(q^{10})\)	\(q+(0.587785 + 0.809017i) q^{2} +(-0.0948098 - 0.0308056i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.43256 - 1.71691i) q^{5} +(-0.0308056 - 0.0948098i) q^{6} -2.23805i q^{7} +(-0.951057 + 0.309017i) q^{8} +(-2.41901 - 1.75751i) q^{9} +(2.23105 + 0.149792i) q^{10} +(-4.19553 + 3.04823i) q^{11} +(0.0585957 - 0.0806501i) q^{12} +(1.48937 - 2.04994i) q^{13} +(1.81062 - 1.31549i) q^{14} +(-0.188711 + 0.118649i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(7.47740 - 2.42955i) q^{17} -2.99006i q^{18} +(-0.309017 - 0.951057i) q^{19} +(1.19019 + 1.89300i) q^{20} +(-0.0689444 + 0.212189i) q^{21} +(-4.93215 - 1.60255i) q^{22} +(-3.19841 - 4.40223i) q^{23} +0.0996890 q^{24} +(-0.895543 - 4.91915i) q^{25} +2.53386 q^{26} +(0.350992 + 0.483099i) q^{27} +(2.12851 + 0.691596i) q^{28} +(1.44642 - 4.45162i) q^{29} +(-0.206911 - 0.0829304i) q^{30} +(0.756592 + 2.32855i) q^{31} -1.00000i q^{32} +(0.491680 - 0.159757i) q^{33} +(6.36066 + 4.62129i) q^{34} +(-3.84253 - 3.20614i) q^{35} +(2.41901 - 1.75751i) q^{36} +(1.46586 - 2.01759i) q^{37} +(0.587785 - 0.809017i) q^{38} +(-0.204356 + 0.148473i) q^{39} +(-0.831892 + 2.07556i) q^{40} +(-7.60729 - 5.52702i) q^{41} +(-0.212189 + 0.0689444i) q^{42} -1.03384i q^{43} +(-1.60255 - 4.93215i) q^{44} +(-6.48287 + 1.63547i) q^{45} +(1.68150 - 5.17514i) q^{46} +(-4.23445 - 1.37586i) q^{47} +(0.0585957 + 0.0806501i) q^{48} +1.99113 q^{49} +(3.45329 - 3.61591i) q^{50} -0.783775 q^{51} +(1.48937 + 2.04994i) q^{52} +(2.19698 + 0.713841i) q^{53} +(-0.184527 + 0.567917i) q^{54} +(-0.776818 + 11.5701i) q^{55} +(0.691596 + 2.12851i) q^{56} +0.0996890i q^{57} +(4.45162 - 1.44642i) q^{58} +(10.0520 + 7.30318i) q^{59} +(-0.0545269 - 0.216139i) q^{60} +(-4.17417 + 3.03271i) q^{61} +(-1.43912 + 1.98078i) q^{62} +(-3.93341 + 5.41387i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-1.38595 - 5.49376i) q^{65} +(0.418248 + 0.303875i) q^{66} +(-8.16655 + 2.65347i) q^{67} +7.86220i q^{68} +(0.167627 + 0.515904i) q^{69} +(0.335243 - 4.99319i) q^{70} +(3.99274 - 12.2884i) q^{71} +(2.84372 + 0.923980i) q^{72} +(8.97219 + 12.3492i) q^{73} +2.49388 q^{74} +(-0.0666308 + 0.493971i) q^{75} +1.00000 q^{76} +(6.82210 + 9.38981i) q^{77} +(-0.240235 - 0.0780571i) q^{78} +(2.79662 - 8.60713i) q^{79} +(-2.16814 + 0.546970i) q^{80} +(2.75354 + 8.47454i) q^{81} -9.40313i q^{82} +(3.67080 - 1.19272i) q^{83} +(-0.180499 - 0.131140i) q^{84} +(6.54050 - 16.3185i) q^{85} +(0.836394 - 0.607676i) q^{86} +(-0.274269 + 0.377499i) q^{87} +(3.04823 - 4.19553i) q^{88} +(5.93802 - 4.31422i) q^{89} +(-5.13366 - 4.28344i) q^{90} +(-4.58786 - 3.33328i) q^{91} +(5.17514 - 1.68150i) q^{92} -0.244077i q^{93} +(-1.37586 - 4.23445i) q^{94} +(-2.07556 - 0.831892i) q^{95} +(-0.0308056 + 0.0948098i) q^{96} +(0.183328 + 0.0595669i) q^{97} +(1.17036 + 1.61086i) q^{98} +15.5064 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

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