LMFDB - Embedded newform 950.2.n.a.39.18

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:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			39.18
Character	$\chi$	$=$	950.39
Dual form			950.2.n.a.609.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.587785 + 0.809017i) q^{2} +(0.285827 + 0.0928709i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.23251 - 0.126065i) q^{5} +(0.0928709 + 0.285827i) q^{6} -0.304227i q^{7} +(-0.951057 + 0.309017i) q^{8} +(-2.35398 - 1.71027i) q^{9} +O(q^{10})$	\(q+(0.587785 + 0.809017i) q^{2} +(0.285827 + 0.0928709i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.23251 - 0.126065i) q^{5} +(0.0928709 + 0.285827i) q^{6} -0.304227i q^{7} +(-0.951057 + 0.309017i) q^{8} +(-2.35398 - 1.71027i) q^{9} +(1.41423 + 1.73204i) q^{10} +(2.58594 - 1.87880i) q^{11} +(-0.176651 + 0.243139i) q^{12} +(1.10386 - 1.51934i) q^{13} +(0.246125 - 0.178820i) q^{14} +(0.649820 + 0.171303i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(6.68251 - 2.17128i) q^{17} -2.90968i q^{18} +(0.309017 + 0.951057i) q^{19} +(-0.569989 + 2.16220i) q^{20} +(0.0282538 - 0.0869563i) q^{21} +(3.03996 + 0.987742i) q^{22} +(4.56148 + 6.27834i) q^{23} -0.300537 q^{24} +(4.96822 - 0.562883i) q^{25} +1.87800 q^{26} +(-1.04395 - 1.43687i) q^{27} +(0.289337 + 0.0940112i) q^{28} +(-2.98596 + 9.18985i) q^{29} +(0.243368 + 0.626405i) q^{30} +(-3.32039 - 10.2191i) q^{31} -1.00000i q^{32} +(0.913618 - 0.296853i) q^{33} +(5.68448 + 4.13002i) q^{34} +(-0.0383523 - 0.679190i) q^{35} +(2.35398 - 1.71027i) q^{36} +(-4.52879 + 6.23334i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(0.456616 - 0.331751i) q^{39} +(-2.08429 + 0.809779i) q^{40} +(4.08995 + 2.97152i) q^{41} +(0.0869563 - 0.0282538i) q^{42} -2.84042i q^{43} +(0.987742 + 3.03996i) q^{44} +(-5.47089 - 3.52143i) q^{45} +(-2.39811 + 7.38063i) q^{46} +(-7.68419 - 2.49675i) q^{47} +(-0.176651 - 0.243139i) q^{48} +6.90745 q^{49} +(3.37563 + 3.68852i) q^{50} +2.11169 q^{51} +(1.10386 + 1.51934i) q^{52} +(-6.35622 - 2.06526i) q^{53} +(0.548837 - 1.68915i) q^{54} +(5.53630 - 4.52043i) q^{55} +(0.0940112 + 0.289337i) q^{56} +0.300537i q^{57} +(-9.18985 + 2.98596i) q^{58} +(-1.17410 - 0.853034i) q^{59} +(-0.363724 + 0.565080i) q^{60} +(0.0650709 - 0.0472768i) q^{61} +(6.31575 - 8.69289i) q^{62} +(-0.520308 + 0.716143i) q^{63} +(0.809017 - 0.587785i) q^{64} +(2.27285 - 3.53110i) q^{65} +(0.777170 + 0.564647i) q^{66} +(7.47423 - 2.42852i) q^{67} +7.02641i q^{68} +(0.720721 + 2.21815i) q^{69} +(0.526933 - 0.430245i) q^{70} +(-1.43185 + 4.40679i) q^{71} +(2.76727 + 0.899140i) q^{72} +(-3.79718 - 5.22637i) q^{73} -7.70484 q^{74} +(1.47233 + 0.300515i) q^{75} -1.00000 q^{76} +(-0.571580 - 0.786713i) q^{77} +(0.536785 + 0.174412i) q^{78} +(-2.77136 + 8.52937i) q^{79} +(-1.88024 - 1.21025i) q^{80} +(2.53247 + 7.79415i) q^{81} +5.05545i q^{82} +(-7.69130 + 2.49906i) q^{83} +(0.0739694 + 0.0537419i) q^{84} +(14.6451 - 5.68983i) q^{85} +(2.29794 - 1.66955i) q^{86} +(-1.70694 + 2.34940i) q^{87} +(-1.87880 + 2.58594i) q^{88} +(-6.75873 + 4.91050i) q^{89} +(-0.366808 - 6.49589i) q^{90} +(-0.462223 - 0.335825i) q^{91} +(-7.38063 + 2.39811i) q^{92} -3.22926i q^{93} +(-2.49675 - 7.68419i) q^{94} +(0.809779 + 2.08429i) q^{95} +(0.0928709 - 0.285827i) q^{96} +(3.59849 + 1.16922i) q^{97} +(4.06009 + 5.58824i) q^{98} -9.30049 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9}+O(q^{10}) $ 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9	$ 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9} + 26 q^{11} + 10 q^{12} - 10 q^{14} + 12 q^{15} - 22 q^{16} - 40 q^{17} - 22 q^{19} + 10 q^{23} + 8 q^{24} + 6 q^{25} - 28 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} - 4 q^{30} + 2 q^{31} - 8 q^{34} - 48 q^{35} - 24 q^{36} + 50 q^{37} + 8 q^{39} + 32 q^{41} + 10 q^{42} + 4 q^{44} - 8 q^{45} + 10 q^{46} + 10 q^{48} - 56 q^{49} + 28 q^{50} - 60 q^{51} - 70 q^{53} - 8 q^{54} + 4 q^{55} + 10 q^{56} - 60 q^{58} - 28 q^{59} - 12 q^{60} - 58 q^{61} + 60 q^{63} + 22 q^{64} - 24 q^{65} + 4 q^{66} - 70 q^{67} - 8 q^{69} - 4 q^{70} + 48 q^{71} + 40 q^{73} + 52 q^{74} + 108 q^{75} - 88 q^{76} - 50 q^{78} - 20 q^{79} + 24 q^{81} - 80 q^{83} + 30 q^{85} + 20 q^{86} + 70 q^{87} + 10 q^{88} - 62 q^{89} - 104 q^{90} + 20 q^{91} - 10 q^{92} - 10 q^{94} + 2 q^{96} - 10 q^{97} + 60 q^{98} + 156 q^{99}+O(q^{100}) $ 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9 + 26 * q^11 + 10 * q^12 - 10 * q^14 + 12 * q^15 - 22 * q^16 - 40 * q^17 - 22 * q^19 + 10 * q^23 + 8 * q^24 + 6 * q^25 - 28 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 - 4 * q^30 + 2 * q^31 - 8 * q^34 - 48 * q^35 - 24 * q^36 + 50 * q^37 + 8 * q^39 + 32 * q^41 + 10 * q^42 + 4 * q^44 - 8 * q^45 + 10 * q^46 + 10 * q^48 - 56 * q^49 + 28 * q^50 - 60 * q^51 - 70 * q^53 - 8 * q^54 + 4 * q^55 + 10 * q^56 - 60 * q^58 - 28 * q^59 - 12 * q^60 - 58 * q^61 + 60 * q^63 + 22 * q^64 - 24 * q^65 + 4 * q^66 - 70 * q^67 - 8 * q^69 - 4 * q^70 + 48 * q^71 + 40 * q^73 + 52 * q^74 + 108 * q^75 - 88 * q^76 - 50 * q^78 - 20 * q^79 + 24 * q^81 - 80 * q^83 + 30 * q^85 + 20 * q^86 + 70 * q^87 + 10 * q^88 - 62 * q^89 - 104 * q^90 + 20 * q^91 - 10 * q^92 - 10 * q^94 + 2 * q^96 - 10 * q^97 + 60 * q^98 + 156 * 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
$3$	0.285827	+	0.0928709i	0.165022	+	0.0536190i	0.390363	−	0.920661i	$-0.372349\pi$
$3$	0.285827	+	0.0928709i	0.165022	+	0.0536190i	−0.225341	+	0.974280i	$0.572349\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	2.23251	−	0.126065i	0.998409	−	0.0563779i
$5$	2.23251	−	0.126065i	0.998409	−	0.0563779i
$6$	0.0928709	+	0.285827i	0.0379144	+	0.116688i
$7$		−	0.304227i		−	0.114987i	−0.998346	−	0.0574934i	$-0.981689\pi$
$7$		−	0.304227i		−	0.114987i	0.998346	−	0.0574934i	$-0.0183108\pi$
$8$	−0.951057	+	0.309017i	−0.336249	+	0.109254i
$9$	−2.35398	−	1.71027i	−0.784660	−	0.570089i
$10$	1.41423	+	1.73204i	0.447218	+	0.547719i
$11$	2.58594	−	1.87880i	0.779691	−	0.566479i	−0.125195	−	0.992132i	$-0.539956\pi$
$11$	2.58594	−	1.87880i	0.779691	−	0.566479i	0.904886	+	0.425654i	$0.139956\pi$
$12$	−0.176651	+	0.243139i	−0.0509947	+	0.0701882i
$13$	1.10386	−	1.51934i	0.306156	−	0.421388i	−0.628021	−	0.778196i	$-0.716135\pi$
$13$	1.10386	−	1.51934i	0.306156	−	0.421388i	0.934178	+	0.356808i	$0.116135\pi$
$14$	0.246125	−	0.178820i	0.0657796	−	0.0477916i
$15$	0.649820	+	0.171303i	0.167783	+	0.0442301i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	6.68251	−	2.17128i	1.62075	−	0.526612i	0.648629	−	0.761105i	$-0.275343\pi$
$17$	6.68251	−	2.17128i	1.62075	−	0.526612i	0.972118	+	0.234493i	$0.0753429\pi$
$18$		−	2.90968i		−	0.685818i
$19$	0.309017	+	0.951057i	0.0708934	+	0.218187i
$19$	0.309017	+	0.951057i	0.0708934	+	0.218187i
$20$	−0.569989	+	2.16220i	−0.127453	+	0.483483i
$21$	0.0282538	−	0.0869563i	0.00616549	−	0.0189754i
$22$	3.03996	+	0.987742i	0.648121	+	0.210587i
$23$	4.56148	+	6.27834i	0.951135	+	1.30912i	0.951022	+	0.309125i	$0.100036\pi$
$23$	4.56148	+	6.27834i	0.951135	+	1.30912i	0.000113259		1.00000i	$0.499964\pi$
$24$	−0.300537			−0.0613468
$25$	4.96822	−	0.562883i	0.993643	−	0.112577i
$26$	1.87800			0.368307
$27$	−1.04395	−	1.43687i	−0.200908	−	0.276527i
$28$	0.289337	+	0.0940112i	0.0546795	+	0.0177665i
$29$	−2.98596	+	9.18985i	−0.554480	+	1.70651i	0.142834	+	0.989747i	$0.454378\pi$
$29$	−2.98596	+	9.18985i	−0.554480	+	1.70651i	−0.697314	+	0.716766i	$0.745622\pi$
$30$	0.243368	+	0.626405i	0.0444327	+	0.114365i
$31$	−3.32039	−	10.2191i	−0.596359	−	1.83540i	−0.547841	−	0.836583i	$-0.684550\pi$
$31$	−3.32039	−	10.2191i	−0.596359	−	1.83540i	−0.0485184	−	0.998822i	$-0.515450\pi$
$32$		−	1.00000i		−	0.176777i
$33$	0.913618	−	0.296853i	0.159041	−	0.0516754i
$34$	5.68448	+	4.13002i	0.974881	+	0.708292i
$35$	−0.0383523	−	0.679190i	−0.00648272	−	0.114804i
$36$	2.35398	−	1.71027i	0.392330	−	0.285044i
$37$	−4.52879	+	6.23334i	−0.744528	+	1.02476i	0.253817	+	0.967252i	$0.418314\pi$
$37$	−4.52879	+	6.23334i	−0.744528	+	1.02476i	−0.998345	+	0.0575030i	$0.981686\pi$
$38$	−0.587785	+	0.809017i	−0.0953514	+	0.131240i
$39$	0.456616	−	0.331751i	0.0731171	−	0.0531227i
$40$	−2.08429	+	0.809779i	−0.329555	+	0.128037i
$41$	4.08995	+	2.97152i	0.638743	+	0.464074i	0.859418	−	0.511274i	$-0.170826\pi$
$41$	4.08995	+	2.97152i	0.638743	+	0.464074i	−0.220675	+	0.975347i	$0.570826\pi$
$42$	0.0869563	−	0.0282538i	0.0134176	−	0.00435966i
$43$		−	2.84042i		−	0.433159i	−0.976265	−	0.216580i	$-0.930510\pi$
$43$		−	2.84042i		−	0.433159i	0.976265	−	0.216580i	$-0.0694901\pi$
$44$	0.987742	+	3.03996i	0.148908	+	0.458291i
$45$	−5.47089	−	3.52143i	−0.815552	−	0.524944i
$46$	−2.39811	+	7.38063i	−0.353582	+	1.08821i
$47$	−7.68419	−	2.49675i	−1.12085	−	0.364188i	−0.310761	−	0.950488i	$-0.600584\pi$
$47$	−7.68419	−	2.49675i	−1.12085	−	0.364188i	−0.810094	+	0.586300i	$0.800584\pi$
$48$	−0.176651	−	0.243139i	−0.0254974	−	0.0350941i
$49$	6.90745			0.986778
$50$	3.37563	+	3.68852i	0.477386	+	0.521635i
$51$	2.11169			0.295696
$52$	1.10386	+	1.51934i	0.153078	+	0.210694i
$53$	−6.35622	−	2.06526i	−0.873093	−	0.283685i	−0.162007	−	0.986790i	$-0.551797\pi$
$53$	−6.35622	−	2.06526i	−0.873093	−	0.283685i	−0.711087	+	0.703104i	$0.751797\pi$
$54$	0.548837	−	1.68915i	0.0746873	−	0.229864i
$55$	5.53630	−	4.52043i	0.746514	−	0.609535i
$56$	0.0940112	+	0.289337i	0.0125628	+	0.0386643i
$57$			0.300537i			0.0398070i
$58$	−9.18985	+	2.98596i	−1.20669	+	0.392076i
$59$	−1.17410	−	0.853034i	−0.152855	−	0.111056i	0.508729	−	0.860927i	$-0.330115\pi$
$59$	−1.17410	−	0.853034i	−0.152855	−	0.111056i	−0.661584	+	0.749871i	$0.730115\pi$
$60$	−0.363724	+	0.565080i	−0.0469566	+	0.0729516i
$61$	0.0650709	−	0.0472768i	0.00833147	−	0.00605317i	−0.583612	−	0.812033i	$-0.698361\pi$
$61$	0.0650709	−	0.0472768i	0.00833147	−	0.00605317i	0.591943	+	0.805980i	$0.298361\pi$
$62$	6.31575	−	8.69289i	0.802101	−	1.10400i
$63$	−0.520308	+	0.716143i	−0.0655527	+	0.0902256i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	2.27285	−	3.53110i	0.281913	−	0.437978i
$66$	0.777170	+	0.564647i	0.0956630	+	0.0695032i
$67$	7.47423	−	2.42852i	0.913122	−	0.296691i	0.185480	−	0.982648i	$-0.440616\pi$
$67$	7.47423	−	2.42852i	0.913122	−	0.296691i	0.727642	+	0.685957i	$0.240616\pi$
$68$			7.02641i			0.852077i
$69$	0.720721	+	2.21815i	0.0867646	+	0.267034i
$70$	0.526933	−	0.430245i	0.0629805	−	0.0514241i
$71$	−1.43185	+	4.40679i	−0.169930	+	0.522990i	−0.999366	−	0.0356121i	$-0.988662\pi$
$71$	−1.43185	+	4.40679i	−0.169930	+	0.522990i	0.829436	+	0.558602i	$0.188662\pi$
$72$	2.76727	+	0.899140i	0.326126	+	0.105965i
$73$	−3.79718	−	5.22637i	−0.444426	−	0.611700i	0.526762	−	0.850013i	$-0.323406\pi$
$73$	−3.79718	−	5.22637i	−0.444426	−	0.611700i	−0.971189	+	0.238312i	$0.923406\pi$
$74$	−7.70484			−0.895669
$75$	1.47233	+	0.300515i	0.170010	+	0.0347005i
$76$	−1.00000			−0.114708
$77$	−0.571580	−	0.786713i	−0.0651376	−	0.0896542i
$78$	0.536785	+	0.174412i	0.0607789	+	0.0197483i
$79$	−2.77136	+	8.52937i	−0.311803	+	0.959630i	0.665248	+	0.746622i	$0.268326\pi$
$79$	−2.77136	+	8.52937i	−0.311803	+	0.959630i	−0.977051	+	0.213007i	$0.931674\pi$
$80$	−1.88024	−	1.21025i	−0.210217	−	0.135310i
$81$	2.53247	+	7.79415i	0.281386	+	0.866017i
$82$			5.05545i			0.558281i
$83$	−7.69130	+	2.49906i	−0.844230	+	0.274307i	−0.699027	−	0.715095i	$-0.746383\pi$
$83$	−7.69130	+	2.49906i	−0.844230	+	0.274307i	−0.145203	+	0.989402i	$0.546383\pi$
$84$	0.0739694	+	0.0537419i	0.00807072	+	0.00586372i
$85$	14.6451	−	5.68983i	1.58848	−	0.617149i
$86$	2.29794	−	1.66955i	0.247794	−	0.180033i
$87$	−1.70694	+	2.34940i	−0.183003	+	0.251882i
$88$	−1.87880	+	2.58594i	−0.200280	+	0.275662i
$89$	−6.75873	+	4.91050i	−0.716424	+	0.520512i	−0.885240	−	0.465135i	$-0.846006\pi$
$89$	−6.75873	+	4.91050i	−0.716424	+	0.520512i	0.168816	+	0.985648i	$0.446006\pi$
$90$	−0.366808	−	6.49589i	−0.0386650	−	0.684727i
$91$	−0.462223	−	0.335825i	−0.0484541	−	0.0352040i
$92$	−7.38063	+	2.39811i	−0.769484	+	0.250021i
$93$		−	3.22926i		−	0.334859i
$94$	−2.49675	−	7.68419i	−0.257520	−	0.792564i
$95$	0.809779	+	2.08429i	0.0830816	+	0.213843i
$96$	0.0928709	−	0.285827i	0.00947860	−	0.0291721i
$97$	3.59849	+	1.16922i	0.365371	+	0.118716i	0.485948	−	0.873988i	$-0.338474\pi$
$97$	3.59849	+	1.16922i	0.365371	+	0.118716i	−0.120577	+	0.992704i	$0.538474\pi$
$98$	4.06009	+	5.58824i	0.410132	+	0.564498i
$99$	−9.30049			−0.934735
$100$	−0.999930	+	4.89899i	−0.0999930	+	0.489899i
$101$	9.23809			0.919224			0.459612	−	0.888120i	$-0.347988\pi$
$101$	9.23809			0.919224			0.459612	+	0.888120i	$0.347988\pi$
$102$	1.24122	+	1.70839i	0.122899	+	0.169156i
$103$	1.90473	+	0.618885i	0.187679	+	0.0609806i	0.401349	−	0.915925i	$-0.368542\pi$
$103$	1.90473	+	0.618885i	0.187679	+	0.0609806i	−0.213670	+	0.976906i	$0.568542\pi$
$104$	−0.580335	+	1.78609i	−0.0569065	+	0.175140i
$105$	0.0521148	−	0.197693i	0.00508588	−	0.0192928i
$106$	−2.06526	−	6.35622i	−0.200596	−	0.617370i
$107$			6.90140i			0.667184i	0.942718	+	0.333592i	$0.108261\pi$
$107$			6.90140i			0.667184i	−0.942718	+	0.333592i	$0.891739\pi$
$108$	1.68915	−	0.548837i	0.162538	−	0.0528119i
$109$	−7.85768	−	5.70894i	−0.752629	−	0.546817i	0.144011	−	0.989576i	$-0.454000\pi$
$109$	−7.85768	−	5.70894i	−0.752629	−	0.546817i	−0.896641	+	0.442759i	$0.854000\pi$
$110$	6.91126	+	1.82191i	0.658963	+	0.173713i
$111$	−1.87335	+	1.36107i	−0.177810	+	0.129187i
$112$	−0.178820	+	0.246125i	−0.0168969	+	0.0232566i
$113$	8.15277	−	11.2213i	0.766948	−	1.05561i	−0.229656	−	0.973272i	$-0.573760\pi$
$113$	8.15277	−	11.2213i	0.766948	−	1.05561i	0.996604	−	0.0823418i	$-0.0262399\pi$
$114$	−0.243139	+	0.176651i	−0.0227721	+	0.0165449i
$115$	10.9750	+	13.4414i	1.02343	+	1.25342i
$116$	−7.81736	−	5.67964i	−0.725823	−	0.527341i
$117$	−5.19694	+	1.68859i	−0.480457	+	0.156110i
$118$		−	1.45127i		−	0.133600i
$119$	−0.660561	−	2.03300i	−0.0605535	−	0.186365i
$120$	−0.670951	+	0.0378871i	−0.0612492	+	0.00345860i
$121$	−0.241968	+	0.744702i	−0.0219971	+	0.0677002i
$122$	0.0764954	+	0.0248549i	0.00692557	+	0.00225025i
$123$	0.893051	+	1.22918i	0.0805237	+	0.110831i
$124$	10.7450			0.964929
$125$	11.0206	−	1.88296i	0.985716	−	0.168417i
$126$	−0.885202			−0.0788600
$127$	−7.89301	−	10.8638i	−0.700391	−	0.964005i	−0.999951	−	0.00992791i	$-0.996840\pi$
$127$	−7.89301	−	10.8638i	−0.700391	−	0.964005i	0.299560	−	0.954078i	$-0.403160\pi$
$128$	0.951057	+	0.309017i	0.0840623	+	0.0273135i
$129$	0.263792	−	0.811868i	0.0232256	−	0.0714810i
$130$	4.19266	−	0.236750i	0.367721	−	0.0207644i
$131$	−5.66867	−	17.4464i	−0.495274	−	1.52430i	−0.816530	−	0.577303i	$-0.804105\pi$
$131$	−5.66867	−	17.4464i	−0.495274	−	1.52430i	0.321256	−	0.946992i	$-0.395895\pi$
$132$			0.960635i			0.0836125i
$133$	0.289337	−	0.0940112i	0.0250887	−	0.00815181i
$134$	6.35796	+	4.61933i	0.549244	+	0.399049i
$135$	−2.51177	−	3.07623i	−0.216179	−	0.264760i
$136$	−5.68448	+	4.13002i	−0.487440	+	0.354146i
$137$	3.01444	−	4.14902i	0.257541	−	0.354474i	−0.660594	−	0.750744i	$-0.729695\pi$
$137$	3.01444	−	4.14902i	0.257541	−	0.354474i	0.918134	+	0.396269i	$0.129695\pi$
$138$	−1.37089	+	1.88687i	−0.116698	+	0.160621i
$139$	−18.9909	+	13.7977i	−1.61078	+	1.17030i	−0.749815	+	0.661648i	$0.769857\pi$
$139$	−18.9909	+	13.7977i	−1.61078	+	1.17030i	−0.860970	+	0.508656i	$0.830143\pi$
$140$	0.657799	+	0.173406i	0.0555942	+	0.0146555i
$141$	−1.96448	−	1.42728i	−0.165439	−	0.120198i
$142$	−4.40679	+	1.43185i	−0.369809	+	0.120158i
$143$		−	6.00285i		−	0.501984i
$144$	0.899140	+	2.76727i	0.0749283	+	0.230606i
$145$	−5.50768	+	20.8929i	−0.457388	+	1.73506i
$146$	1.99630	−	6.14397i	0.165215	−	0.508478i
$147$	1.97434	+	0.641501i	0.162840	+	0.0529101i
$148$	−4.52879	−	6.23334i	−0.372264	−	0.512378i
$149$	20.3082			1.66371			0.831857	−	0.554990i	$-0.187278\pi$
$149$	20.3082			1.66371			0.831857	+	0.554990i	$0.187278\pi$
$150$	0.622290	+	1.36778i	0.0508097	+	0.111678i
$151$	−5.50964			−0.448368			−0.224184	−	0.974547i	$-0.571972\pi$
$151$	−5.50964			−0.448368			−0.224184	+	0.974547i	$0.571972\pi$
$152$	−0.587785	−	0.809017i	−0.0476757	−	0.0656199i
$153$	−19.4439	−	6.31772i	−1.57195	−	0.510758i
$154$	0.300497	−	0.924836i	0.0242148	−	0.0745254i
$155$	−8.70107	−	22.3957i	−0.698887	−	1.79886i
$156$	0.174412	+	0.536785i	0.0139641	+	0.0429772i
$157$		−	14.6833i		−	1.17185i	−0.810365	−	0.585926i	$-0.800731\pi$
$157$		−	14.6833i		−	1.17185i	0.810365	−	0.585926i	$-0.199269\pi$
$158$	−8.52937	+	2.77136i	−0.678561	+	0.220478i
$159$	−1.62498	−	1.18061i	−0.128869	−	0.0936289i
$160$	−0.126065	−	2.23251i	−0.00996630	−	0.176496i
$161$	1.91004	−	1.38772i	0.150532	−	0.109368i
$162$	−4.81705	+	6.63010i	−0.378463	+	0.520910i
$163$	−8.03635	+	11.0611i	−0.629455	+	0.866371i	−0.997998	−	0.0632399i	$-0.979857\pi$
$163$	−8.03635	+	11.0611i	−0.629455	+	0.866371i	0.368543	+	0.929611i	$0.379857\pi$
$164$	−4.08995	+	2.97152i	−0.319371	+	0.232037i
$165$	2.00224	−	0.777902i	0.155874	−	0.0605596i
$166$	−6.54261	−	4.75349i	−0.507805	−	0.368942i
$167$	−22.3194	+	7.25200i	−1.72712	+	0.561177i	−0.993029	−	0.117870i	$-0.962393\pi$
$167$	−22.3194	+	7.25200i	−1.72712	+	0.561177i	−0.734095	+	0.679047i	$0.762393\pi$
$168$			0.0914312i			0.00705407i
$169$	2.92735	+	9.00946i	0.225181	+	0.693035i
$170$	13.2113	+	8.50370i	1.01326	+	0.652204i
$171$	0.899140	−	2.76727i	0.0687589	−	0.211618i
$172$	2.70140	+	0.877737i	0.205979	+	0.0669268i
$173$	−10.0229	−	13.7954i	−0.762028	−	1.04884i	−0.997043	−	0.0768495i	$-0.975514\pi$
$173$	−10.0229	−	13.7954i	−0.762028	−	1.04884i	0.235015	−	0.971992i	$-0.424486\pi$
$174$	−2.90402			−0.220153
$175$	−0.171244	−	1.51146i	−0.0129448	−	0.114256i
$176$	−3.19640			−0.240938
$177$	−0.256368	−	0.352860i	−0.0192698	−	0.0265226i
$178$	−7.94536	−	2.58160i	−0.595530	−	0.193499i
$179$	3.30208	−	10.1628i	0.246809	−	0.759600i	−0.748524	−	0.663107i	$-0.769237\pi$
$179$	3.30208	−	10.1628i	0.246809	−	0.759600i	0.995334	−	0.0964933i	$-0.0307626\pi$
$180$	5.03968	−	4.11494i	0.375636	−	0.306710i
$181$	−5.25143	−	16.1623i	−0.390336	−	1.20133i	−0.932535	−	0.361081i	$-0.882408\pi$
$181$	−5.25143	−	16.1623i	−0.390336	−	1.20133i	0.542199	−	0.840250i	$-0.317592\pi$
$182$		−	0.571339i		−	0.0423505i
$183$	0.0229897	−	0.00746980i	0.00169945	−	0.000552183i
$184$	−6.27834	−	4.56148i	−0.462845	−	0.336277i
$185$	−9.32477	+	14.4869i	−0.685570	+	1.06510i
$186$	2.61253	−	1.89811i	0.191560	−	0.139176i
$187$	13.2012	−	18.1699i	0.965367	−	1.32871i
$188$	4.74909	−	6.53656i	0.346363	−	0.476728i
$189$	−0.437135	+	0.317597i	−0.0317969	+	0.0231018i
$190$	−1.21025	+	1.88024i	−0.0878007	+	0.136407i
$191$	7.17618	+	5.21380i	0.519250	+	0.377258i	0.816321	−	0.577598i	$-0.196010\pi$
$191$	7.17618	+	5.21380i	0.519250	+	0.377258i	−0.297071	+	0.954855i	$0.596010\pi$
$192$	0.285827	−	0.0928709i	0.0206278	−	0.00670238i
$193$			12.7115i			0.914994i	0.889211	+	0.457497i	$0.151254\pi$
$193$			12.7115i			0.914994i	−0.889211	+	0.457497i	$0.848746\pi$
$194$	1.16922	+	3.59849i	0.0839451	+	0.258357i
$195$	0.977579	−	0.798201i	0.0700059	−	0.0571604i
$196$	−2.13452	+	6.56937i	−0.152466	+	0.469241i
$197$	6.99195	+	2.27182i	0.498156	+	0.161861i	0.547309	−	0.836931i	$-0.315652\pi$
$197$	6.99195	+	2.27182i	0.498156	+	0.161861i	−0.0491532	+	0.998791i	$0.515652\pi$
$198$	−5.46669	−	7.52426i	−0.388501	−	0.534726i
$199$	−3.76886			−0.267167			−0.133584	−	0.991038i	$-0.542648\pi$
$199$	−3.76886			−0.267167			−0.133584	+	0.991038i	$0.542648\pi$
$200$	−4.55111	+	2.07060i	−0.321812	+	0.146413i
$201$	2.36188			0.166594
$202$	5.43001	+	7.47377i	0.382054	+	0.525853i
$203$	2.79580	+	0.908410i	0.196227	+	0.0637579i
$204$	−0.652549	+	2.00834i	−0.0456875	+	0.140612i
$205$	9.50546	+	6.11836i	0.663890	+	0.427325i
$206$	0.618885	+	1.90473i	0.0431198	+	0.132709i
$207$		−	22.5804i		−	1.56945i
$208$	−1.78609	+	0.580335i	−0.123843	+	0.0402390i
$209$	2.58594	+	1.87880i	0.178873	+	0.129959i
$210$	0.190569	−	0.0740391i	0.0131505	−	0.00510918i
$211$	1.02551	−	0.745075i	0.0705989	−	0.0512931i	−0.551926	−	0.833893i	$-0.686107\pi$
$211$	1.02551	−	0.745075i	0.0705989	−	0.0512931i	0.622525	+	0.782600i	$0.286107\pi$
$212$	3.92836	−	5.40692i	0.269801	−	0.371349i
$213$	−0.818525	+	1.12660i	−0.0560844	+	0.0771935i
$214$	−5.58335	+	4.05654i	−0.381670	+	0.277300i
$215$	−0.358077	−	6.34126i	−0.0244206	−	0.432470i
$216$	1.43687	+	1.04395i	0.0977669	+	0.0710318i
$217$	−3.10892	+	1.01015i	−0.211047	+	0.0685735i
$218$		−	9.71263i		−	0.657822i
$219$	−0.599960	−	1.84649i	−0.0405415	−	0.124774i
$220$	2.58838	+	6.66222i	0.174508	+	0.449167i
$221$	4.07767	−	12.5498i	0.274294	−	0.844189i
$222$	−2.20225	−	0.715555i	−0.147805	−	0.0480249i
$223$	−17.0579	−	23.4781i	−1.14228	−	1.57221i	−0.762311	−	0.647211i	$-0.775935\pi$
$223$	−17.0579	−	23.4781i	−1.14228	−	1.57221i	−0.379968	−	0.925000i	$-0.624065\pi$
$224$	−0.304227			−0.0203270
$225$	−12.6578	−	7.17195i	−0.843850	−	0.478130i
$226$	13.8703			0.922640
$227$	−3.14306	−	4.32605i	−0.208612	−	0.287130i	0.691871	−	0.722021i	$-0.256787\pi$
$227$	−3.14306	−	4.32605i	−0.208612	−	0.287130i	−0.900483	+	0.434891i	$0.856787\pi$
$228$	−0.285827	−	0.0928709i	−0.0189294	−	0.00615052i
$229$	−8.23425	+	25.3424i	−0.544135	+	1.67467i	0.178903	+	0.983867i	$0.442745\pi$
$229$	−8.23425	+	25.3424i	−0.544135	+	1.67467i	−0.723038	+	0.690808i	$0.757255\pi$
$230$	−4.42338	+	16.7797i	−0.291669	+	1.10642i
$231$	−0.0903105	−	0.277947i	−0.00594199	−	0.0182876i
$232$		−	9.66278i		−	0.634393i
$233$	−5.44072	+	1.76780i	−0.356433	+	0.115812i	−0.481760	−	0.876303i	$-0.660002\pi$
$233$	−5.44072	+	1.76780i	−0.356433	+	0.115812i	0.125326	+	0.992116i	$0.460002\pi$
$234$	−4.42078	−	3.21189i	−0.288995	−	0.209968i
$235$	−17.4698	−	4.60531i	−1.13960	−	0.300417i
$236$	1.17410	−	0.853034i	0.0764274	−	0.0555278i
$237$	−1.58426	+	2.18055i	−0.102909	+	0.141642i
$238$	1.25646	−	1.72937i	0.0814443	−	0.112098i
$239$	−7.72762	+	5.61445i	−0.499858	+	0.363168i	−0.808963	−	0.587860i	$-0.799971\pi$
$239$	−7.72762	+	5.61445i	−0.499858	+	0.363168i	0.309105	+	0.951028i	$0.399971\pi$
$240$	−0.425027	−	0.520541i	−0.0274353	−	0.0336008i
$241$	7.67913	+	5.57921i	0.494656	+	0.359389i	0.806972	−	0.590590i	$-0.201105\pi$
$241$	7.67913	+	5.57921i	0.494656	+	0.359389i	−0.312316	+	0.949978i	$0.601105\pi$
$242$	−0.744702	+	0.241968i	−0.0478713	+	0.0155543i
$243$			7.79120i			0.499805i
$244$	0.0248549	+	0.0764954i	0.00159117	+	0.00489712i
$245$	15.4210	−	0.870786i	0.985209	−	0.0556325i
$246$	−0.469504	+	1.44499i	−0.0299345	+	0.0921290i
$247$	1.78609	+	0.580335i	0.113646	+	0.0369258i
$248$	6.31575	+	8.69289i	0.401051	+	0.551999i
$249$	−2.43047			−0.154025
$250$	8.00111	+	7.80911i	0.506035	+	0.493891i
$251$	3.59131			0.226682			0.113341	−	0.993556i	$-0.463845\pi$
$251$	3.59131			0.226682			0.113341	+	0.993556i	$0.463845\pi$
$252$	−0.520308	−	0.716143i	−0.0327764	−	0.0451128i
$253$	23.5915	+	7.66533i	1.48318	+	0.481915i
$254$	4.14960	−	12.7712i	0.260369	−	0.801333i
$255$	4.71438	−	0.266210i	0.295226	−	0.0166707i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$		−	14.3099i		−	0.892630i	−0.894876	−	0.446315i	$-0.852736\pi$
$257$		−	14.3099i		−	0.892630i	0.894876	−	0.446315i	$-0.147264\pi$
$258$	0.811868	−	0.263792i	0.0505447	−	0.0164230i
$259$	1.89635	+	1.37778i	0.117833	+	0.0856110i
$260$	2.65592	+	3.25278i	0.164713	+	0.201729i
$261$	22.7460	−	16.5259i	1.40794	−	1.02293i
$262$	10.7824	−	14.8408i	0.666142	−	0.916865i
$263$	1.14737	−	1.57922i	0.0707501	−	0.0973792i	−0.772175	−	0.635409i	$-0.780831\pi$
$263$	1.14737	−	1.57922i	0.0707501	−	0.0973792i	0.842926	+	0.538030i	$0.180831\pi$
$264$	−0.777170	+	0.564647i	−0.0478315	+	0.0347516i
$265$	−14.4507	−	3.80942i	−0.887698	−	0.234011i
$266$	0.246125	+	0.178820i	0.0150909	+	0.0109642i
$267$	−2.38787	+	0.775867i	−0.146135	+	0.0474823i
$268$			7.85887i			0.480057i
$269$	8.07221	+	24.8437i	0.492171	+	1.51475i	0.821319	+	0.570469i	$0.193238\pi$
$269$	8.07221	+	24.8437i	0.492171	+	1.51475i	−0.329148	+	0.944278i	$0.606762\pi$
$270$	1.01234	−	3.84023i	0.0616092	−	0.233709i
$271$	−7.46740	+	22.9823i	−0.453612	+	1.39608i	0.419144	+	0.907920i	$0.362330\pi$
$271$	−7.46740	+	22.9823i	−0.453612	+	1.39608i	−0.872756	+	0.488156i	$0.837670\pi$
$272$	−6.68251	−	2.17128i	−0.405187	−	0.131653i
$273$	−0.100928	−	0.138915i	−0.00610841	−	0.00840751i
$274$	5.12847			0.309822
$275$	11.7900	−	10.7898i	0.710962	−	0.650652i
$276$	−2.33230			−0.140388
$277$	−1.55799	−	2.14439i	−0.0936106	−	0.128844i	0.759643	−	0.650341i	$-0.225374\pi$
$277$	−1.55799	−	2.14439i	−0.0936106	−	0.128844i	−0.853253	+	0.521497i	$0.825374\pi$
$278$	−22.3251	−	7.25387i	−1.33897	−	0.435058i
$279$	−9.66126	+	29.7343i	−0.578404	+	1.78015i
$280$	0.246356	+	0.634096i	0.0147226	+	0.0378945i
$281$	5.67371	+	17.4619i	0.338465	+	1.04169i	0.964990	+	0.262287i	$0.0844766\pi$
$281$	5.67371	+	17.4619i	0.338465	+	1.04169i	−0.626525	+	0.779401i	$0.715523\pi$
$282$		−	2.42823i		−	0.144599i
$283$	−0.280866	+	0.0912589i	−0.0166958	+	0.00542478i	−0.317353	−	0.948307i	$-0.602794\pi$
$283$	−0.280866	+	0.0912589i	−0.0166958	+	0.00542478i	0.300657	+	0.953732i	$0.402794\pi$
$284$	−3.74864	−	2.72355i	−0.222441	−	0.161613i
$285$	0.0378871	+	0.670951i	0.00224424	+	0.0397437i
$286$	4.85641	−	3.52839i	0.287165	−	0.208638i
$287$	0.904016	−	1.24427i	0.0533624	−	0.0734470i
$288$	−1.71027	+	2.35398i	−0.100778	+	0.138710i
$289$	26.1882	−	19.0268i	1.54048	−	1.11923i
$290$	−20.1400	+	7.82472i	−1.18266	+	0.459483i
$291$	0.919960	+	0.668390i	0.0539290	+	0.0391817i
$292$	6.14397	−	1.99630i	0.359548	−	0.116824i
$293$			6.00081i			0.350571i	0.984518	+	0.175286i	$0.0560849\pi$
$293$			6.00081i			0.350571i	−0.984518	+	0.175286i	$0.943915\pi$
$294$	0.641501	+	1.97434i	0.0374131	+	0.115146i
$295$	−2.72873	−	1.75639i	−0.158873	−	0.102261i
$296$	2.38092	−	7.32773i	0.138388	−	0.425916i
$297$	−5.39919	−	1.75430i	−0.313293	−	0.101795i
$298$	11.9369	+	16.4297i	0.691484	+	0.951747i
$299$	14.5742			0.842846
$300$	−0.740781	+	1.30740i	−0.0427690	+	0.0754829i
$301$	−0.864130			−0.0498076
$302$	−3.23849	−	4.45740i	−0.186354	−	0.256494i
$303$	2.64050	+	0.857949i	0.151693	+	0.0492879i
$304$	0.309017	−	0.951057i	0.0177233	−	0.0545468i
$305$	0.139312	−	0.113749i	0.00797696	−	0.00651325i
$306$	−6.31772	−	19.4439i	−0.361160	−	1.11154i
$307$		−	2.31342i		−	0.132034i	−0.997819	−	0.0660169i	$-0.978971\pi$
$307$		−	2.31342i		−	0.132034i	0.997819	−	0.0660169i	$-0.0210291\pi$
$308$	0.924836	−	0.300497i	0.0526974	−	0.0171224i
$309$	0.486948	+	0.353789i	0.0277015	+	0.0201263i
$310$	13.0041	−	20.2032i	0.738584	−	1.14746i
$311$	7.18954	−	5.22351i	0.407682	−	0.296198i	−0.364981	−	0.931015i	$-0.618925\pi$
$311$	7.18954	−	5.22351i	0.407682	−	0.296198i	0.772663	+	0.634817i	$0.218925\pi$
$312$	−0.331751	+	0.456616i	−0.0187817	+	0.0258508i
$313$	−7.11826	+	9.79745i	−0.402348	+	0.553785i	−0.961331	−	0.275394i	$-0.911192\pi$
$313$	−7.11826	+	9.79745i	−0.402348	+	0.553785i	0.558983	+	0.829179i	$0.311192\pi$
$314$	11.8790	−	8.63061i	0.670371	−	0.487053i
$315$	−1.07131	+	1.66439i	−0.0603617	+	0.0937778i
$316$	−7.25552	−	5.27144i	−0.408155	−	0.296542i
$317$	−28.5530	+	9.27742i	−1.60369	+	0.521072i	−0.968017	−	0.250883i	$-0.919279\pi$
$317$	−28.5530	+	9.27742i	−1.60369	+	0.521072i	−0.635677	+	0.771955i	$0.719279\pi$
$318$		−	2.00858i		−	0.112636i
$319$	9.54434	+	29.3744i	0.534380	+	1.64465i
$320$	1.73204	−	1.41423i	0.0968240	−	0.0790576i
$321$	−0.640940	+	1.97261i	−0.0357738	+	0.110100i
$322$	2.24539	+	0.729570i	0.125130	+	0.0406573i
$323$	4.13002	+	5.68448i	0.229800	+	0.316293i
$324$	−8.19526			−0.455292
$325$	4.62902	−	8.16974i	0.256772	−	0.453176i
$326$	−13.6722			−0.757236
$327$	−1.71574	−	2.36152i	−0.0948809	−	0.130592i
$328$	−4.80802	−	1.56222i	−0.265479	−	0.0862592i
$329$	−0.759577	+	2.33774i	−0.0418768	+	0.128884i
$330$	1.80622	+	1.16261i	0.0994293	+	0.0639994i
$331$	0.00600366	+	0.0184774i	0.000329991	+	0.00101561i	0.951221	−	0.308509i	$-0.0998300\pi$
$331$	0.00600366	+	0.0184774i	0.000329991	+	0.00101561i	−0.950891	+	0.309525i	$0.899830\pi$
$332$		−	8.08711i		−	0.443838i
$333$	21.3213	−	6.92772i	1.16840	−	0.379637i
$334$	−18.9860	−	13.7941i	−1.03887	−	0.754781i
$335$	16.3801	−	6.36394i	0.894943	−	0.347699i
$336$	−0.0739694	+	0.0537419i	−0.00403536	+	0.00293186i
$337$	7.10340	−	9.77699i	0.386947	−	0.532587i	−0.570461	−	0.821325i	$-0.693236\pi$
$337$	7.10340	−	9.77699i	0.386947	−	0.532587i	0.957408	+	0.288738i	$0.0932355\pi$
$338$	−5.56815	+	7.66390i	−0.302867	+	0.416861i
$339$	3.37242	−	2.45021i	0.183165	−	0.133077i
$340$	0.885783	+	15.6865i	0.0480383	+	0.850722i
$341$	−27.7859	−	20.1877i	−1.50469	−	1.09322i
$342$	2.76727	−	0.899140i	0.149637	−	0.0486199i
$343$		−	4.23102i		−	0.228453i
$344$	0.877737	+	2.70140i	0.0473244	+	0.145649i
$345$	1.88865	+	4.86119i	0.101681	+	0.261718i
$346$	5.26936	−	16.2174i	0.283282	−	0.871853i
$347$	−29.0136	−	9.42708i	−1.55753	−	0.506072i	−0.601383	−	0.798961i	$-0.705383\pi$
$347$	−29.0136	−	9.42708i	−1.55753	−	0.506072i	−0.956146	+	0.292889i	$0.905383\pi$
$348$	−1.70694	−	2.34940i	−0.0915016	−	0.125941i
$349$	−28.1146			−1.50494			−0.752469	−	0.658628i	$-0.771137\pi$
$349$	−28.1146			−1.50494			−0.752469	+	0.658628i	$0.771137\pi$
$350$	1.12215	−	1.02696i	0.0599812	−	0.0548931i
$351$	−3.33547			−0.178034
$352$	−1.87880	−	2.58594i	−0.100140	−	0.137831i
$353$	−5.46737	−	1.77646i	−0.290999	−	0.0945512i	0.159880	−	0.987136i	$-0.448889\pi$
$353$	−5.46737	−	1.77646i	−0.290999	−	0.0945512i	−0.450879	+	0.892585i	$0.648889\pi$
$354$	0.134780	−	0.414812i	0.00716350	−	0.0220470i
$355$	−2.64109	+	10.0187i	−0.140174	+	0.531738i
$356$	−2.58160	−	7.94536i	−0.136825	−	0.421103i
$357$		−	0.642433i		−	0.0340012i
$358$	10.1628	−	3.30208i	0.537119	−	0.174520i
$359$	−1.86534	−	1.35525i	−0.0984488	−	0.0715273i	0.537472	−	0.843282i	$-0.319379\pi$
$359$	−1.86534	−	1.35525i	−0.0984488	−	0.0715273i	−0.635921	+	0.771754i	$0.719379\pi$
$360$	6.29131	+	1.65848i	0.331581	+	0.0874098i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	9.98882	−	13.7484i	0.525001	−	0.722602i
$363$	−0.138322	+	0.190384i	−0.00726004	+	0.00999258i
$364$	0.462223	−	0.335825i	0.0242271	−	0.0176020i
$365$	−9.13611	−	11.1892i	−0.478206	−	0.585671i
$366$	0.0195562	+	0.0142084i	0.00102222	+	0.000742685i
$367$	−22.0424	+	7.16200i	−1.15060	+	0.373853i	−0.821370	−	0.570396i	$-0.806790\pi$
$367$	−22.0424	+	7.16200i	−1.15060	+	0.373853i	−0.329232	+	0.944249i	$0.606790\pi$
$368$		−	7.76046i		−	0.404542i
$369$	−4.54556	−	13.9898i	−0.236632	−	0.728280i
$370$	−17.2011	+	0.971309i	−0.894244	+	0.0504960i
$371$	−0.628307	+	1.93373i	−0.0326201	+	0.100394i
$372$	3.07121	+	0.997898i	0.159235	+	0.0517386i
$373$	5.34985	+	7.36343i	0.277005	+	0.381264i	0.924739	−	0.380602i	$-0.124283\pi$
$373$	5.34985	+	7.36343i	0.277005	+	0.381264i	−0.647734	+	0.761866i	$0.724283\pi$
$374$	22.4592			1.16134
$375$	3.32487	+	0.485295i	0.171696	+	0.0250605i
$376$	8.07964			0.416675
$377$	10.6664	+	14.6810i	0.549347	+	0.756111i
$378$	−0.513883	−	0.166971i	−0.0264313	−	0.00858805i
$379$	−5.42588	+	16.6991i	−0.278708	+	0.857777i	0.709506	+	0.704700i	$0.248918\pi$
$379$	−5.42588	+	16.6991i	−0.278708	+	0.857777i	−0.988214	+	0.153077i	$0.951082\pi$
$380$	−2.23251	+	0.126065i	−0.114525	+	0.00646699i
$381$	−1.24711	−	3.83820i	−0.0638912	−	0.196637i
$382$			8.87025i			0.453841i
$383$	12.7690	−	4.14889i	0.652463	−	0.211998i	0.0359634	−	0.999353i	$-0.488550\pi$
$383$	12.7690	−	4.14889i	0.652463	−	0.211998i	0.616500	+	0.787355i	$0.288550\pi$
$384$	0.243139	+	0.176651i	0.0124076	+	0.00901468i
$385$	−1.37524	−	1.68429i	−0.0700885	−	0.0858393i
$386$	−10.2838	+	7.47164i	−0.523433	+	0.380296i
$387$	−4.85786	+	6.68628i	−0.246939	+	0.339883i
$388$	−2.22399	+	3.06106i	−0.112906	+	0.155402i
$389$	1.23523	−	0.897445i	0.0626285	−	0.0455023i	−0.556031	−	0.831162i	$-0.687676\pi$
$389$	1.23523	−	0.897445i	0.0626285	−	0.0455023i	0.618659	+	0.785660i	$0.287676\pi$
$390$	1.22036	+	0.321707i	0.0617956	+	0.0162903i
$391$	44.1142	+	32.0508i	2.23095	+	1.62088i
$392$	−6.56937	+	2.13452i	−0.331803	+	0.107809i
$393$		−	5.51310i		−	0.278099i
$394$	2.27182	+	6.99195i	0.114453	+	0.352249i
$395$	−5.11184	+	19.3913i	−0.257205	+	0.975682i
$396$	2.87401	−	8.84530i	0.144424	−	0.444493i
$397$	0.125127	+	0.0406562i	0.00627993	+	0.00204047i	0.312155	−	0.950031i	$-0.398949\pi$
$397$	0.125127	+	0.0406562i	0.00627993	+	0.00204047i	−0.305875	+	0.952072i	$0.598949\pi$
$398$	−2.21528	−	3.04907i	−0.111042	−	0.152836i
$399$	0.0914312			0.00457729
$400$	−4.35022	−	2.46486i	−0.217511	−	0.123243i
$401$	12.5055			0.624493			0.312246	−	0.950001i	$-0.398919\pi$
$401$	12.5055			0.624493			0.312246	+	0.950001i	$0.398919\pi$
$402$	1.38828	+	1.91080i	0.0692409	+	0.0953019i
$403$	−19.1915	−	6.23570i	−0.955997	−	0.310622i
$404$	−2.85473	+	8.78594i	−0.142028	+	0.437117i
$405$	6.63635	+	17.0813i	0.329763	+	0.848776i
$406$	0.908410	+	2.79580i	0.0450836	+	0.138753i
$407$			24.6277i			1.22075i
$408$	−2.00834	+	0.652549i	−0.0994275	+	0.0323060i
$409$	5.17407	+	3.75918i	0.255841	+	0.185880i	0.708312	−	0.705900i	$-0.249457\pi$
$409$	5.17407	+	3.75918i	0.255841	+	0.185880i	−0.452470	+	0.891780i	$0.649457\pi$
$410$	0.637315	+	11.2864i	0.0314748	+	0.557394i
$411$	1.24693	−	0.905948i	0.0615066	−	0.0446871i
$412$	−1.17719	+	1.62026i	−0.0579960	+	0.0798246i
$413$	−0.259516	+	0.357193i	−0.0127699	+	0.0175763i
$414$	18.2680	−	13.2724i	0.897821	−	0.652305i
$415$	−16.8559	+	6.54877i	−0.827422	+	0.321467i
$416$	−1.51934	−	1.10386i	−0.0744916	−	0.0541213i
$417$	−6.70951	+	2.18005i	−0.328566	+	0.106758i
$418$			3.19640i			0.156341i
$419$	−2.21375	−	6.81324i	−0.108149	−	0.332848i	0.882308	−	0.470673i	$-0.155989\pi$
$419$	−2.21375	−	6.81324i	−0.108149	−	0.332848i	−0.990457	+	0.137825i	$0.955989\pi$
$420$	0.171913	+	0.110655i	0.00838847	+	0.00539939i
$421$	−11.5277	+	35.4786i	−0.561826	+	1.72912i	0.115373	+	0.993322i	$0.463194\pi$
$421$	−11.5277	+	35.4786i	−0.561826	+	1.72912i	−0.677199	+	0.735800i	$0.736806\pi$
$422$	1.20556	+	0.391709i	0.0586856	+	0.0190681i
$423$	13.8183	+	19.0193i	0.671870	+	0.924750i
$424$	6.68332			0.324571
$425$	31.9780	−	14.5488i	1.55116	−	0.705723i
$426$	−1.39256			−0.0674696
$427$	−0.0143829	−	0.0197963i	−0.000696035	−	0.000958010i
$428$	−6.56363	−	2.13265i	−0.317265	−	0.103086i
$429$	0.557490	−	1.71578i	0.0269159	−	0.0828385i
$430$	4.91971	−	4.01699i	0.237250	−	0.193716i
$431$	7.09495	+	21.8360i	0.341752	+	1.05180i	0.963300	+	0.268428i	$0.0865041\pi$
$431$	7.09495	+	21.8360i	0.341752	+	1.05180i	−0.621548	+	0.783376i	$0.713496\pi$
$432$			1.77607i			0.0854514i
$433$	24.3546	−	7.91329i	1.17041	−	0.380289i	0.341613	−	0.939841i	$-0.389027\pi$
$433$	24.3546	−	7.91329i	1.17041	−	0.380289i	0.828795	+	0.559552i	$0.189027\pi$
$434$	−2.64461	−	1.92142i	−0.126945	−	0.0922311i
$435$	−3.51459	+	5.46025i	−0.168511	+	0.261799i
$436$	7.85768	−	5.70894i	0.376315	−	0.273409i
$437$	−4.56148	+	6.27834i	−0.218205	+	0.300334i
$438$	1.14119	−	1.57071i	0.0545282	−	0.0750517i
$439$	20.4778	−	14.8780i	0.977351	−	0.710087i	0.0202357	−	0.999795i	$-0.493558\pi$
$439$	20.4778	−	14.8780i	0.977351	−	0.710087i	0.957115	+	0.289708i	$0.0935584\pi$
$440$	−3.86844	+	6.01000i	−0.184421	+	0.286515i
$441$	−16.2600	−	11.8136i	−0.774285	−	0.562551i
$442$	12.5498	−	4.07767i	0.596932	−	0.193955i
$443$		−	35.8276i		−	1.70222i	−0.524986	−	0.851111i	$-0.675930\pi$
$443$		−	35.8276i		−	1.70222i	0.524986	−	0.851111i	$-0.324070\pi$
$444$	−0.715555	−	2.20225i	−0.0339587	−	0.104514i
$445$	−14.4699	+	11.8148i	−0.685939	+	0.560075i
$446$	8.96784	−	27.6002i	0.424640	−	1.30691i
$447$	5.80464	+	1.88604i	0.274550	+	0.0892068i
$448$	−0.178820	−	0.246125i	−0.00844845	−	0.0116283i
$449$	−15.4739			−0.730257			−0.365128	−	0.930957i	$-0.618975\pi$
$449$	−15.4739			−0.730257			−0.365128	+	0.930957i	$0.618975\pi$
$450$	−1.63781	−	14.4559i	−0.0772070	−	0.681458i
$451$	16.1593			0.760910
$452$	8.15277	+	11.2213i	0.383474	+	0.527807i
$453$	−1.57481	−	0.511686i	−0.0739908	−	0.0240411i
$454$	1.65240	−	5.08557i	0.0775511	−	0.238678i
$455$	−1.07425	−	0.691462i	−0.0503618	−	0.0324162i
$456$	−0.0928709	−	0.285827i	−0.00434908	−	0.0133851i
$457$			25.2635i			1.18178i	0.806753	+	0.590889i	$0.201223\pi$
$457$			25.2635i			1.18178i	−0.806753	+	0.590889i	$0.798777\pi$
$458$	−25.3424	+	8.23425i	−1.18417	+	0.384761i
$459$	−10.0961	−	7.33522i	−0.471244	−	0.342379i
$460$	−16.1750	+	6.28425i	−0.754165	+	0.293005i
$461$	31.2451	−	22.7009i	1.45523	−	1.05729i	0.470655	−	0.882317i	$-0.344018\pi$
$461$	31.2451	−	22.7009i	1.45523	−	1.05729i	0.984574	−	0.174969i	$-0.0559824\pi$
$462$	0.171781	−	0.236436i	0.00799196	−	0.0110000i
$463$	−14.8116	+	20.3865i	−0.688355	+	0.947439i	−0.999996	−	0.00276071i	$-0.999121\pi$
$463$	−14.8116	+	20.3865i	−0.688355	+	0.947439i	0.311641	+	0.950200i	$0.399121\pi$
$464$	7.81736	−	5.67964i	0.362912	−	0.263671i
$465$	−0.407097	−	7.20937i	−0.0188787	−	0.334327i
$466$	−4.62815	−	3.36255i	−0.214395	−	0.155767i
$467$	−4.78416	+	1.55447i	−0.221385	+	0.0719322i	−0.417609	−	0.908627i	$-0.637132\pi$
$467$	−4.78416	+	1.55447i	−0.221385	+	0.0719322i	0.196224	+	0.980559i	$0.437132\pi$
$468$		−	5.46439i		−	0.252591i
$469$	−0.738822	−	2.27386i	−0.0341156	−	0.104997i
$470$	−6.54272	−	16.8403i	−0.301793	−	0.776785i
$471$	1.36365	−	4.19688i	0.0628336	−	0.193382i
$472$	1.38024	+	0.448466i	0.0635306	+	0.0206423i
$473$	−5.33656	−	7.34515i	−0.245375	−	0.337730i
$474$	−2.69531			−0.123800
$475$	2.07060	+	4.55111i	0.0950055	+	0.208819i
$476$	2.13762			0.0979777
$477$	11.4303	+	15.7324i	0.523355	+	0.720337i
$478$	−9.08437	−	2.95169i	−0.415509	−	0.135007i
$479$	12.9812	−	39.9522i	0.593128	−	1.82546i	0.0292964	−	0.999571i	$-0.490673\pi$
$479$	12.9812	−	39.9522i	0.593128	−	1.82546i	0.563832	−	0.825890i	$-0.309327\pi$
$480$	0.171303	−	0.649820i	0.00781886	−	0.0296601i
$481$	4.47139	+	13.7615i	0.203878	+	0.627471i
$482$			9.49192i			0.432345i
$483$	0.674820	−	0.219262i	0.0307054	−	0.00997679i
$484$	−0.633481	−	0.460251i	−0.0287946	−	0.0209205i
$485$	8.18107	+	2.15665i	0.371483	+	0.0979286i
$486$	−6.30321	+	4.57955i	−0.285919	+	0.207733i
$487$	16.5638	−	22.7981i	0.750578	−	1.03308i	−0.247362	−	0.968923i	$-0.579564\pi$
$487$	16.5638	−	22.7981i	0.750578	−	1.03308i	0.997940	−	0.0641587i	$-0.0204364\pi$
$488$	−0.0472768	+	0.0650709i	−0.00214012	+	0.00294562i
$489$	−3.32426	+	2.41522i	−0.150328	+	0.109220i
$490$	9.76869	+	11.9640i	0.441304	+	0.540477i
$491$	11.6819	+	8.48739i	0.527197	+	0.383031i	0.819308	−	0.573354i	$-0.194358\pi$
$491$	11.6819	+	8.48739i	0.527197	+	0.383031i	−0.292111	+	0.956384i	$0.594358\pi$
$492$	−1.44499	+	0.469504i	−0.0651450	+	0.0211669i
$493$			67.8946i			3.05782i
$494$	0.580335	+	1.78609i	0.0261105	+	0.0803599i
$495$	−20.7635	+	1.17247i	−0.933248	+	0.0526984i
$496$	−3.32039	+	10.2191i	−0.149090	+	0.458851i
$497$	1.34066	+	0.435608i	0.0601369	+	0.0195397i
$498$	−1.42860	−	1.96629i	−0.0640169	−	0.0881117i
$499$	−8.08142			−0.361774			−0.180887	−	0.983504i	$-0.557897\pi$
$499$	−8.08142			−0.361774			−0.180887	+	0.983504i	$0.557897\pi$
$500$	−1.61476	+	11.0631i	−0.0722144	+	0.494758i
$501$	−7.05298			−0.315104
$502$	2.11092	+	2.90543i	0.0942150	+	0.129676i
$503$	1.96916	+	0.639818i	0.0878004	+	0.0285281i	0.352588	−	0.935779i	$-0.385302\pi$
$503$	1.96916	+	0.639818i	0.0878004	+	0.0285281i	−0.264787	+	0.964307i	$0.585302\pi$
$504$	0.273542	−	0.841877i	0.0121845	−	0.0375002i
$505$	20.6241	−	1.16460i	0.917762	−	0.0518239i
$506$	7.66533	+	23.5915i	0.340765	+	1.04877i
$507$			2.84701i			0.126440i
$508$	12.7712	−	4.14960i	0.566628	−	0.184109i
$509$	−17.4982	−	12.7132i	−0.775592	−	0.563501i	0.128061	−	0.991766i	$-0.459125\pi$
$509$	−17.4982	−	12.7132i	−0.775592	−	0.563501i	−0.903653	+	0.428266i	$0.859125\pi$
$510$	2.98641	+	3.65754i	0.132240	+	0.161958i
$511$	−1.59000	+	1.15520i	−0.0703375	+	0.0511032i
$512$	−0.587785	+	0.809017i	−0.0259767	+	0.0357538i
$513$	1.04395	−	1.43687i	0.0460915	−	0.0634395i
$514$	11.5770	−	8.41117i	0.510639	−	0.371001i
$515$	4.33036	+	1.14155i	0.190818	+	0.0503026i
$516$	0.690616	+	0.501762i	0.0304027	+	0.0220888i
$517$	−24.5618	+	7.98060i	−1.08022	+	0.350986i
$518$			2.34402i			0.102990i
$519$	−1.58363	−	4.87392i	−0.0695138	−	0.213941i
$520$	−1.07044	+	4.06062i	−0.0469420	+	0.178070i
$521$	−1.46159	+	4.49831i	−0.0640334	+	0.197075i	−0.977955	−	0.208817i	$-0.933039\pi$
$521$	−1.46159	+	4.49831i	−0.0640334	+	0.197075i	0.913921	+	0.405891i	$0.133039\pi$
$522$	26.7395	+	8.68819i	1.17036	+	0.380272i
$523$	25.7025	+	35.3765i	1.12389	+	1.54691i	0.799177	+	0.601096i	$0.205269\pi$
$523$	25.7025	+	35.3765i	1.12389	+	1.54691i	0.324717	+	0.945811i	$0.394731\pi$
$524$	18.3442			0.801370
$525$	0.0914248	−	0.447921i	0.00399011	−	0.0195489i
$526$	1.95203			0.0851125
$527$	−44.3770	−	61.0798i	−1.93309	−	2.66068i
$528$	−0.913618	−	0.296853i	−0.0397601	−	0.0129188i
$529$	−11.5031	+	35.4028i	−0.500133	+	1.53925i
$530$	−5.41201	−	13.9300i	−0.235083	−	0.605079i
$531$	1.30489	+	4.01605i	0.0566275	+	0.174282i
$532$			0.304227i			0.0131899i
$533$	9.02948	−	2.93386i	0.391110	−	0.127079i
$534$	−2.03124	−	1.47579i	−0.0879006	−	0.0638635i
$535$	0.870025	+	15.4075i	0.0376145	+	0.666123i
$536$	−6.35796	+	4.61933i	−0.274622	+	0.199524i
$537$	1.88765	−	2.59813i	0.0814581	−	0.112117i
$538$	−15.3542	+	21.1333i	−0.661969	+	0.911122i
$539$	17.8623	−	12.9777i	0.769382	−	0.558989i
$540$	3.70185	−	1.43823i	0.159302	−	0.0618914i
$541$	18.4864	+	13.4312i	0.794793	+	0.577451i	0.909382	−	0.415962i	$-0.136555\pi$
$541$	18.4864	+	13.4312i	0.794793	+	0.577451i	−0.114589	+	0.993413i	$0.536555\pi$
$542$	−22.9823	+	7.46740i	−0.987174	+	0.320752i
$543$		−	5.10732i		−	0.219176i
$544$	−2.17128	−	6.68251i	−0.0930928	−	0.286510i
$545$	−18.2621	−	11.7547i	−0.782261	−	0.503516i
$546$	0.0530607	−	0.163304i	0.00227079	−	0.00698877i
$547$	19.2760	+	6.26316i	0.824183	+	0.267793i	0.690593	−	0.723244i	$-0.257350\pi$
$547$	19.2760	+	6.26316i	0.824183	+	0.267793i	0.133590	+	0.991037i	$0.457350\pi$
$548$	3.01444	+	4.14902i	0.128770	+	0.177237i
$549$	−0.234031			−0.00998821
$550$	15.6591	+	3.19618i	0.667708	+	0.136285i
$551$	−9.66278			−0.411648
$552$	−1.37089	−	1.88687i	−0.0583490	−	0.0803106i
$553$	2.59486	+	0.843122i	0.110345	+	0.0358532i
$554$	0.819084	−	2.52088i	0.0347995	−	0.107102i
$555$	−4.01069	+	3.27476i	−0.170244	+	0.139006i
$556$	−7.25387	−	22.3251i	−0.307633	−	0.946796i
$557$		−	1.11527i		−	0.0472556i	−0.999721	−	0.0236278i	$-0.992478\pi$
$557$		−	1.11527i		−	0.0472556i	0.999721	−	0.0236278i	$-0.00752166\pi$
$558$	−29.7343	+	9.66126i	−1.25875	+	0.408994i
$559$	−4.31555	−	3.13543i	−0.182528	−	0.132615i
$560$	−0.368190	+	0.572019i	−0.0155589	+	0.0241722i
$561$	5.46071	−	3.96744i	0.230551	−	0.167505i
$562$	−10.7920	+	14.8540i	−0.455234	+	0.626576i
$563$	−2.29811	+	3.16308i	−0.0968539	+	0.133308i	−0.854693	−	0.519133i	$-0.826255\pi$
$563$	−2.29811	+	3.16308i	−0.0968539	+	0.133308i	0.757840	+	0.652441i	$0.226255\pi$
$564$	1.96448	−	1.42728i	0.0827194	−	0.0600991i
$565$	16.7865	−	26.0795i	0.706215	−	1.09717i
$566$	−0.238919	−	0.173585i	−0.0100425	−	0.00729631i
$567$	2.37119	−	0.770446i	0.0995806	−	0.0323557i
$568$		−	4.63357i		−	0.194420i
$569$	8.50633	+	26.1798i	0.356604	+	1.09751i	0.955074	+	0.296369i	$0.0957757\pi$
$569$	8.50633	+	26.1798i	0.356604	+	1.09751i	−0.598470	+	0.801145i	$0.704224\pi$
$570$	−0.520541	+	0.425027i	−0.0218031	+	0.0178024i
$571$	0.549587	−	1.69145i	0.0229995	−	0.0707851i	−0.938898	−	0.344196i	$-0.888152\pi$
$571$	0.549587	−	1.69145i	0.0229995	−	0.0707851i	0.961897	+	0.273410i	$0.0881517\pi$
$572$	5.70905	+	1.85498i	0.238707	+	0.0775607i
$573$	1.56694	+	2.15671i	0.0654598	+	0.0900976i
$574$	1.53800			0.0641950
$575$	26.1964	+	28.6246i	1.09247	+	1.19373i
$576$	−2.90968			−0.121237
$577$	6.36514	+	8.76086i	0.264984	+	0.364719i	0.920688	−	0.390298i	$-0.127628\pi$
$577$	6.36514	+	8.76086i	0.264984	+	0.364719i	−0.655704	+	0.755018i	$0.727628\pi$
$578$	30.7861	+	10.0030i	1.28053	+	0.416070i
$579$	−1.18053	+	3.63330i	−0.0490611	+	0.150995i
$580$	−18.1683	−	11.6944i	−0.754399	−	0.485582i
$581$	0.760279	+	2.33990i	0.0315417	+	0.0970754i
$582$			1.13713i			0.0471357i
$583$	−20.3170	+	6.60140i	−0.841445	+	0.273402i
$584$	5.22637	+	3.79718i	0.216269	+	0.157128i
$585$	−11.3894	+	4.42494i	−0.470892	+	0.182949i
$586$	−4.85476	+	3.52719i	−0.200548	+	0.145707i
$587$	5.90812	−	8.13183i	0.243854	−	0.335636i	−0.669493	−	0.742818i	$-0.733489\pi$
$587$	5.90812	−	8.13183i	0.243854	−	0.335636i	0.913347	+	0.407182i	$0.133489\pi$
$588$	−1.22021	+	1.67947i	−0.0503205	+	0.0692602i
$589$	8.69289	−	6.31575i	0.358184	−	0.260236i
$590$	−0.182954	−	3.23997i	−0.00753209	−	0.133387i
$591$	1.78750	+	1.29870i	0.0735281	+	0.0534213i
$592$	7.32773	−	2.38092i	0.301168	−	0.0978554i
$593$		−	8.42863i		−	0.346122i	−0.984911	−	0.173061i	$-0.944634\pi$
$593$		−	8.42863i		−	0.346122i	0.984911	−	0.173061i	$-0.0553659\pi$
$594$	−1.75430	−	5.39919i	−0.0719799	−	0.221531i
$595$	−1.73100	−	4.45542i	−0.0709641	−	0.182654i
$596$	−6.27559	+	19.3143i	−0.257058	+	0.791143i
$597$	−1.07724	−	0.350017i	−0.0440886	−	0.0143252i
$598$	8.56648	+	11.7907i	0.350309	+	0.482160i
$599$	8.42132			0.344086			0.172043	−	0.985089i	$-0.444963\pi$
$599$	8.42132			0.344086			0.172043	+	0.985089i	$0.444963\pi$
$600$	−1.49313	+	0.169167i	−0.0609568	+	0.00690620i
$601$	40.3323			1.64519			0.822595	−	0.568627i	$-0.192525\pi$
$601$	40.3323			1.64519			0.822595	+	0.568627i	$0.192525\pi$
$602$	−0.507923	−	0.699096i	−0.0207014	−	0.0284930i
$603$	−21.7476	−	7.06622i	−0.885630	−	0.287759i
$604$	1.70257	−	5.23998i	0.0692767	−	0.213212i
$605$	−0.446316	+	1.69306i	−0.0181453	+	0.0688326i
$606$	0.857949	+	2.64050i	0.0348518	+	0.107263i
$607$		−	32.2984i		−	1.31095i	−0.755216	−	0.655476i	$-0.772468\pi$
$607$		−	32.2984i		−	1.31095i	0.755216	−	0.655476i	$-0.227532\pi$
$608$	0.951057	−	0.309017i	0.0385704	−	0.0125323i
$609$	0.714750	+	0.519297i	0.0289631	+	0.0210430i
$610$	0.173910	+	0.0458454i	0.00704142	+	0.00185623i
$611$	−12.2757	+	8.91881i	−0.496621	+	0.360816i
$612$	12.0170	−	16.5400i	0.485759	−	0.668590i
$613$	21.2311	−	29.2221i	0.857515	−	1.18027i	−0.124641	−	0.992202i	$-0.539778\pi$
$613$	21.2311	−	29.2221i	0.857515	−	1.18027i	0.982156	−	0.188067i	$-0.0602221\pi$
$614$	1.87159	−	1.35979i	0.0755314	−	0.0548768i
$615$	2.14870	+	2.63157i	0.0866440	+	0.106115i
$616$	0.786713	+	0.571580i	0.0316976	+	0.0230296i
$617$	35.0823	−	11.3989i	1.41236	−	0.458903i	0.499192	−	0.866491i	$-0.333630\pi$
$617$	35.0823	−	11.3989i	1.41236	−	0.458903i	0.913166	+	0.407588i	$0.133630\pi$
$618$			0.601901i			0.0242120i
$619$	6.77992	+	20.8664i	0.272508	+	0.838693i	0.989868	+	0.141990i	$0.0453502\pi$
$619$	6.77992	+	20.8664i	0.272508	+	0.838693i	−0.717360	+	0.696703i	$0.754650\pi$
$620$	23.9883	−	1.35457i	0.963395	−	0.0544007i
$621$	4.25923	−	13.1085i	0.170917	−	0.526028i
$622$	8.45181	+	2.74616i	0.338887	+	0.110111i
$623$	1.49391	+	2.05619i	0.0598521	+	0.0823793i
$624$	−0.564409			−0.0225944
$625$	24.3663	−	5.59304i	0.974653	−	0.223722i
$626$	−12.1103			−0.484026
$627$	0.564647	+	0.777170i	0.0225498	+	0.0310372i
$628$	13.9646	+	4.53738i	0.557249	+	0.181061i
$629$	−16.7293	+	51.4876i	−0.667043	+	2.05295i
$630$	−1.97622	+	0.111593i	−0.0787346	+	0.00444597i
$631$	4.29787	+	13.2275i	0.171095	+	0.526578i	0.999434	−	0.0336506i	$-0.0107134\pi$
$631$	4.29787	+	13.2275i	0.171095	+	0.526578i	−0.828338	+	0.560228i	$0.810713\pi$
$632$		−	8.96832i		−	0.356740i
$633$	0.362314	−	0.117723i	0.0144007	−	0.00467907i
$634$	−24.2886	−	17.6467i	−0.964624	−	0.700840i
$635$	−18.9908	−	23.2585i	−0.753626	−	0.922986i
$636$	1.62498	−	1.18061i	0.0644345	−	0.0468144i
$637$	7.62487	−	10.4947i	0.302108	−	0.415817i
$638$	−18.1544	+	24.9874i	−0.718740	+	0.989260i
$639$	10.9073	−	7.92464i	0.431487	−	0.313494i
$640$	2.16220	+	0.569989i	0.0854685	+	0.0225308i
$641$	−3.01630	−	2.19147i	−0.119137	−	0.0865579i	0.526621	−	0.850100i	$-0.323459\pi$
$641$	−3.01630	−	2.19147i	−0.119137	−	0.0865579i	−0.645758	+	0.763542i	$0.723459\pi$
$642$	−1.97261	+	0.640940i	−0.0778527	+	0.0252959i
$643$			0.361162i			0.0142428i	0.999975	+	0.00712142i	$0.00226684\pi$
$643$			0.361162i			0.0142428i	−0.999975	+	0.00712142i	$0.997733\pi$
$644$	0.729570	+	2.24539i	0.0287491	+	0.0884806i
$645$	0.486570	−	1.84576i	0.0191587	−	0.0726767i
$646$	−2.17128	+	6.68251i	−0.0854278	+	0.262920i
$647$	35.1066	+	11.4068i	1.38018	+	0.448449i	0.902730	−	0.430208i	$-0.141560\pi$
$647$	35.1066	+	11.4068i	1.38018	+	0.448449i	0.477454	+	0.878657i	$0.341560\pi$
$648$	−4.81705	−	6.63010i	−0.189232	−	0.260455i
$649$	−4.63883			−0.182090
$650$	9.33033	−	1.05710i	0.365966	−	0.0414627i
$651$	−0.982428			−0.0385044
$652$	−8.03635	−	11.0611i	−0.314728	−	0.433185i
$653$	30.5539	+	9.92755i	1.19567	+	0.388495i	0.838164	−	0.545418i	$-0.183629\pi$
$653$	30.5539	+	9.92755i	1.19567	+	0.388495i	0.357501	+	0.933913i	$0.383629\pi$
$654$	0.902021	−	2.77613i	0.0352718	−	0.108555i
$655$	−14.8547	−	38.2346i	−0.580423	−	1.49395i
$656$	−1.56222	−	4.80802i	−0.0609945	−	0.187722i
$657$			18.7969i			0.733339i
$658$	−2.33774	+	0.759577i	−0.0911344	+	0.0296114i
$659$	5.78152	+	4.20052i	0.225216	+	0.163629i	0.694671	−	0.719327i	$-0.255550\pi$
$659$	5.78152	+	4.20052i	0.225216	+	0.163629i	−0.469455	+	0.882956i	$0.655550\pi$
$660$	0.121102	+	2.14463i	0.00471390	+	0.0834796i
$661$	−23.7109	+	17.2270i	−0.922248	+	0.670052i	−0.944082	−	0.329709i	$-0.893049\pi$
$661$	−23.7109	+	17.2270i	−0.922248	+	0.670052i	0.0218348	+	0.999762i	$0.493049\pi$
$662$	−0.0114196	+	0.0157178i	−0.000443837	+	0.000610889i
$663$	2.33102	−	3.20837i	0.0905292	−	0.124603i
$664$	6.54261	−	4.75349i	0.253903	−	0.184471i
$665$	0.634096	−	0.246356i	0.0245892	−	0.00955329i
$666$	18.1370	+	13.1773i	0.702795	+	0.510611i
$667$	−71.3175	+	23.1724i	−2.76142	+	0.897241i
$668$		−	23.4680i		−	0.908003i
$669$	−2.69516	−	8.29486i	−0.104201	−	0.320698i
$670$	14.7765	+	9.51118i	0.570868	+	0.367449i
$671$	0.0794461	−	0.244510i	0.00306698	−	0.00943920i
$672$	−0.0869563	−	0.0282538i	−0.00335441	−	0.00108991i
$673$	−7.93449	−	10.9209i	−0.305852	−	0.420969i	0.628230	−	0.778028i	$-0.283780\pi$
$673$	−7.93449	−	10.9209i	−0.305852	−	0.420969i	−0.934082	+	0.357058i	$0.883780\pi$
$674$	12.0850			0.465498
$675$	−5.99536	−	6.55108i	−0.230762	−	0.252151i
$676$	−9.47310			−0.364350
$677$	−10.5191	−	14.4783i	−0.404281	−	0.556445i	0.557531	−	0.830156i	$-0.311749\pi$
$677$	−10.5191	−	14.4783i	−0.404281	−	0.556445i	−0.961812	+	0.273711i	$0.911749\pi$
$678$	3.96452	+	1.28815i	0.152256	+	0.0494711i
$679$	0.355708	−	1.09476i	0.0136508	−	0.0420129i
$680$	−12.1700	+	9.93693i	−0.466699	+	0.381064i
$681$	−0.496607	−	1.52840i	−0.0190300	−	0.0585684i
$682$		−	34.3453i		−	1.31515i
$683$	−27.0696	+	8.79544i	−1.03579	+	0.336548i	−0.777076	−	0.629406i	$-0.783298\pi$
$683$	−27.0696	+	8.79544i	−1.03579	+	0.336548i	−0.258712	+	0.965954i	$0.583298\pi$
$684$	2.35398	+	1.71027i	0.0900066	+	0.0653936i
$685$	6.20672	−	9.64274i	0.237147	−	0.368430i
$686$	3.42296	−	2.48693i	0.130689	−	0.0949514i
$687$	−4.70715	+	6.47883i	−0.179589	+	0.247183i
$688$	−1.66955	+	2.29794i	−0.0636512	+	0.0876083i
$689$	−10.1542	+	7.37747i	−0.386845	+	0.281059i
$690$	−2.82266	+	4.38528i	−0.107457	+	0.166945i
$691$	16.5474	+	12.0224i	0.629494	+	0.457354i	0.856225	−	0.516604i	$-0.172804\pi$
$691$	16.5474	+	12.0224i	0.629494	+	0.457354i	−0.226731	+	0.973957i	$0.572804\pi$
$692$	16.2174	−	5.26936i	0.616493	−	0.200311i
$693$			2.82946i			0.107482i
$694$	−9.42708	−	29.0136i	−0.357847	−	1.10134i
$695$	−40.6579	+	33.1976i	−1.54224	+	1.25925i
$696$	0.897391	−	2.76189i	0.0340155	−	0.104689i
$697$	33.7831	+	10.9768i	1.27963	+	0.415776i
$698$	−16.5253	−	22.7452i	−0.625493	−	0.860917i
$699$	−1.71928			−0.0650292
$700$	1.49040	+	0.304205i	0.0563320	+	0.0114979i
$701$	−36.0758			−1.36256			−0.681282	−	0.732021i	$-0.738577\pi$
$701$	−36.0758			−1.36256			−0.681282	+	0.732021i	$0.738577\pi$
$702$	−1.96054	−	2.69845i	−0.0739959	−	0.101847i
$703$	−7.32773	−	2.38092i	−0.276371	−	0.0897983i
$704$	0.987742	−	3.03996i	0.0372269	−	0.114573i
$705$	−4.56564	−	2.93876i	−0.171952	−	0.110680i
$706$	−1.77646	−	5.46737i	−0.0668578	−	0.205767i
$707$		−	2.81047i		−	0.105699i
$708$	0.414812	−	0.134780i	0.0155896	−	0.00506536i
$709$	−8.88577	−	6.45589i	−0.333712	−	0.242456i	0.408292	−	0.912851i	$-0.366125\pi$
$709$	−8.88577	−	6.45589i	−0.333712	−	0.242456i	−0.742004	+	0.670395i	$0.766125\pi$
$710$	−9.65770	+	3.75217i	−0.362447	+	0.140816i
$711$	21.1112	−	15.3382i	0.791733	−	0.575228i
$712$	4.91050	−	6.75873i	0.184029	−	0.253294i
$713$	49.0131	−	67.4608i	1.83556	−	2.52643i
$714$	0.519739	−	0.377613i	0.0194507	−	0.0141318i
$715$	−0.756749	−	13.4014i	−0.0283008	−	0.501185i
$716$	8.64496	+	6.28093i	0.323077	+	0.234729i
$717$	−2.73018	+	0.887090i	−0.101961	+	0.0331290i
$718$		−	2.30569i		−	0.0860474i
$719$	−14.0862	−	43.3528i	−0.525326	−	1.61679i	−0.763670	−	0.645606i	$-0.776605\pi$
$719$	−14.0862	−	43.3528i	−0.525326	−	1.61679i	0.238344	−	0.971181i	$-0.423395\pi$
$720$	2.35620	+	6.06461i	0.0878102	+	0.226015i
$721$	0.188281	−	0.579471i	0.00701197	−	0.0215806i
$722$	−0.951057	−	0.309017i	−0.0353947	−	0.0115004i
$723$	1.67676	+	2.30786i	0.0623593	+	0.0858302i
$724$	16.9940			0.631577
$725$	−9.66210	+	47.3379i	−0.358842	+	1.75809i
$726$	−0.235328			−0.00873384
$727$	10.3387	+	14.2301i	0.383443	+	0.527764i	0.956492	−	0.291757i	$-0.0942399\pi$
$727$	10.3387	+	14.2301i	0.383443	+	0.527764i	−0.573050	+	0.819521i	$0.694240\pi$
$728$	0.543376	+	0.176553i	0.0201388	+	0.00654350i
$729$	6.87385	−	21.1555i	0.254587	−	0.783538i
$730$	3.68221	−	13.9681i	0.136285	−	0.516984i
$731$	−6.16733	−	18.9811i	−0.228107	−	0.702041i
$732$			0.0241728i			0.000893451i
$733$	21.2249	−	6.89640i	0.783961	−	0.254724i	0.110430	−	0.993884i	$-0.464777\pi$
$733$	21.2249	−	6.89640i	0.783961	−	0.254724i	0.673530	+	0.739160i	$0.264777\pi$
$734$	−18.7504	−	13.6229i	−0.692088	−	0.502832i
$735$	4.48860	+	1.18326i	0.165564	+	0.0436453i
$736$	6.27834	−	4.56148i	0.231423	−	0.168138i
$737$	14.7652	−	20.3226i	0.543884	−	0.748592i
$738$	8.64617	−	11.9004i	0.318270	−	0.438061i
$739$	31.0759	−	22.5780i	1.14315	−	0.830545i	0.155592	−	0.987821i	$-0.450271\pi$
$739$	31.0759	−	22.5780i	1.14315	−	0.830545i	0.987555	+	0.157276i	$0.0502714\pi$
$740$	−10.8964	−	13.3451i	−0.400559	−	0.490575i
$741$	0.456616	+	0.331751i	0.0167742	+	0.0121872i
$742$	−1.93373	+	0.628307i	−0.0709895	+	0.0230659i
$743$			35.9637i			1.31938i	0.751538	+	0.659690i	$0.229312\pi$
$743$			35.9637i			1.31938i	−0.751538	+	0.659690i	$0.770688\pi$
$744$	0.997898	+	3.07121i	0.0365847	+	0.112596i
$745$	45.3383	−	2.56015i	1.66107	−	0.0937968i
$746$	−2.81258	+	8.65624i	−0.102976	+	0.316927i
$747$	22.3792	+	7.27145i	0.818812	+	0.266048i
$748$	13.2012	+	18.1699i	0.482683	+	0.664357i
$749$	2.09959			0.0767174
$750$	1.56170	+	2.97513i	0.0570251	+	0.108636i
$751$	−44.6572			−1.62956			−0.814782	−	0.579767i	$-0.803144\pi$
$751$	−44.6572			−1.62956			−0.814782	+	0.579767i	$0.803144\pi$
$752$	4.74909	+	6.53656i	0.173182	+	0.238364i
$753$	1.02649	+	0.333528i	0.0374076	+	0.0121545i
$754$	−5.60765	+	17.2586i	−0.204219	+	0.628520i
$755$	−12.3003	+	0.694573i	−0.447655	+	0.0252781i
$756$	−0.166971	−	0.513883i	−0.00607267	−	0.0186898i
$757$			46.2108i			1.67956i	0.542928	+	0.839779i	$0.317316\pi$
$757$			46.2108i			1.67956i	−0.542928	+	0.839779i	$0.682684\pi$
$758$	−16.6991	+	5.42588i	−0.606540	+	0.197077i
$759$	6.03119	+	4.38192i	0.218918	+	0.159054i
$760$	−1.41423	−	1.73204i	−0.0512994	−	0.0628277i
$761$	5.44973	−	3.95946i	0.197553	−	0.143530i	−0.484611	−	0.874730i	$-0.661039\pi$
$761$	5.44973	−	3.95946i	0.197553	−	0.143530i	0.682164	+	0.731199i	$0.261039\pi$
$762$	2.37214	−	3.26497i	0.0859334	−	0.118277i
$763$	−1.73681	+	2.39052i	−0.0628768	+	0.0865425i
$764$	−7.17618	+	5.21380i	−0.259625	+	0.188629i
$765$	−44.2053	−	11.6532i	−1.59825	−	0.421322i
$766$	10.8619	+	7.89165i	0.392457	+	0.285137i
$767$	−2.59209	+	0.842221i	−0.0935950	+	0.0304108i
$768$			0.300537i			0.0108447i
$769$	−15.2682	−	46.9908i	−0.550587	−	1.69453i	−0.707321	−	0.706892i	$-0.750097\pi$
$769$	−15.2682	−	46.9908i	−0.550587	−	1.69453i	0.156734	−	0.987641i	$-0.449903\pi$
$770$	0.554275	−	2.10259i	0.0199747	−	0.0757721i
$771$	1.32898	−	4.09017i	0.0478619	−	0.147304i
$772$	−12.0894	−	3.92807i	−0.435106	−	0.141374i
$773$	3.13411	+	4.31373i	0.112726	+	0.155154i	0.861652	−	0.507500i	$-0.169430\pi$
$773$	3.13411	+	4.31373i	0.112726	+	0.155154i	−0.748926	+	0.662654i	$0.769430\pi$
$774$	−8.26469			−0.297068
$775$	−22.2486	−	48.9017i	−0.799192	−	1.75660i
$776$	−3.78368			−0.135826
$777$	0.414073	+	0.569922i	0.0148548	+	0.0204458i
$778$	1.45210	+	0.471815i	0.0520602	+	0.0169154i
$779$	−1.56222	+	4.80802i	−0.0559724	+	0.172265i
$780$	0.457046	+	1.17639i	0.0163649	+	0.0421215i
$781$	4.57677	+	14.0859i	0.163770	+	0.504032i
$782$			54.5281i			1.94992i
$783$	16.3219	−	5.30329i	0.583296	−	0.189524i
$784$	−5.58824	−	4.06009i	−0.199580	−	0.145003i
$785$	−1.85104	−	32.7806i	−0.0660666	−	1.16999i
$786$	4.46019	−	3.24052i	0.159090	−	0.115585i
$787$	−11.2596	+	15.4974i	−0.401360	+	0.552424i	−0.961085	−	0.276254i	$-0.910907\pi$
$787$	−11.2596	+	15.4974i	−0.401360	+	0.552424i	0.559725	+	0.828678i	$0.310907\pi$
$788$	−4.32126	+	5.94771i	−0.153939	+	0.211878i
$789$	0.474615	−	0.344828i	0.0168967	−	0.0122762i
$790$	−18.6926	+	7.26235i	−0.665051	+	0.258383i
$791$	−3.41383	−	2.48029i	−0.121382	−	0.0881890i
$792$	8.84530	−	2.87401i	0.314304	−	0.102124i
$793$		−	0.151052i		−	0.00536400i
$794$	0.0406562	+	0.125127i	0.00144283	+	0.00444058i
$795$	−3.77661	−	2.43088i	−0.133943	−	0.0862146i
$796$	1.16464	−	3.58440i	0.0412796	−	0.127046i
$797$	−14.3794	−	4.67216i	−0.509346	−	0.165497i	0.0430588	−	0.999073i	$-0.486290\pi$
$797$	−14.3794	−	4.67216i	−0.509346	−	0.165497i	−0.552405	+	0.833576i	$0.686290\pi$
$798$	0.0537419	+	0.0739694i	0.00190244	+	0.00261849i
$799$	−56.7708			−2.00841
$800$	−0.562883	−	4.96822i	−0.0199009	−	0.175653i
$801$	24.3082			0.858887
$802$	7.35052	+	10.1171i	0.259556	+	0.357248i
$803$	−19.6386	−	6.38096i	−0.693030	−	0.225179i
$804$	−0.729860	+	2.24628i	−0.0257402	+	0.0792201i
$805$	4.08924	−	3.33890i	0.144127	−	0.117681i
$806$	−6.23570	−	19.1915i	−0.219643	−	0.675992i
$807$			7.85068i			0.276357i
$808$	−8.78594	+	2.85473i	−0.309088	+	0.100429i
$809$	−8.17796	−	5.94164i	−0.287522	−	0.208897i	0.434670	−	0.900590i	$-0.356865\pi$
$809$	−8.17796	−	5.94164i	−0.287522	−	0.208897i	−0.722192	+	0.691693i	$0.756865\pi$
$810$	−9.91830	+	15.4090i	−0.348494	+	0.541419i
$811$	30.8442	−	22.4096i	1.08309	−	0.786909i	0.104869	−	0.994486i	$-0.466558\pi$
$811$	30.8442	−	22.4096i	1.08309	−	0.786909i	0.978219	+	0.207577i	$0.0665578\pi$
$812$	−1.72790	+	2.37825i	−0.0606373	+	0.0834601i
$813$	−4.26877	+	5.87546i	−0.149712	+	0.206061i
$814$	−19.9243	+	14.4758i	−0.698345	+	0.507377i
$815$	−16.5468	+	25.7071i	−0.579610	+	0.900480i
$816$	−1.70839	−	1.24122i	−0.0598058	−	0.0434514i
$817$	2.70140	−	0.877737i	0.0945099	−	0.0307081i
$818$			6.39551i			0.223614i
$819$	0.513714	+	1.58105i	0.0179506	+	0.0552463i
$820$	−8.75625	+	7.14955i	−0.305782	+	0.249673i
$821$	3.16099	−	9.72851i	0.110319	−	0.339527i	−0.880623	−	0.473818i	$-0.842875\pi$
$821$	3.16099	−	9.72851i	0.110319	−	0.339527i	0.990942	+	0.134290i	$0.0428755\pi$
$822$	1.46585	+	0.476285i	0.0511276	+	0.0166124i
$823$	−10.7122	−	14.7441i	−0.373405	−	0.513948i	0.580417	−	0.814319i	$-0.302890\pi$
$823$	−10.7122	−	14.7441i	−0.373405	−	0.513948i	−0.953822	+	0.300371i	$0.902890\pi$
$824$	−2.00276			−0.0697693
$825$	4.37196	−	1.98909i	0.152212	−	0.0692511i
$826$	−0.441514			−0.0153622
$827$	−26.7550	−	36.8251i	−0.930363	−	1.28053i	−0.959718	−	0.280965i	$-0.909345\pi$
$827$	−26.7550	−	36.8251i	−0.930363	−	1.28053i	0.0293552	−	0.999569i	$-0.490655\pi$
$828$	21.4753	+	6.97774i	0.746317	+	0.242493i
$829$	4.43831	−	13.6597i	0.154149	−	0.474422i	−0.843925	−	0.536462i	$-0.819761\pi$
$829$	4.43831	−	13.6597i	0.154149	−	0.474422i	0.998074	+	0.0620400i	$0.0197606\pi$
$830$	−15.2057	−	9.78742i	−0.527798	−	0.339726i
$831$	−0.246165	−	0.757617i	−0.00853936	−	0.0262814i
$832$		−	1.87800i		−	0.0651081i
$833$	46.1591	−	14.9980i	1.59932	−	0.519650i
$834$	−5.70745	−	4.14671i	−0.197633	−	0.143589i
$835$	−48.9140	+	19.0039i	−1.69274	+	0.657656i
$836$	−2.58594	+	1.87880i	−0.0894367	+	0.0649795i
$837$	−11.2172	+	15.4392i	−0.387725	+	0.533657i
$838$	4.21081	−	5.79569i	0.145460	−	0.200209i
$839$	20.7926	−	15.1067i	0.717839	−	0.521540i	−0.167854	−	0.985812i	$-0.553684\pi$
$839$	20.7926	−	15.1067i	0.717839	−	0.521540i	0.885693	+	0.464272i	$0.153684\pi$
$840$	0.0115263	+	0.204121i	0.000397694	+	0.00704285i
$841$	−52.0759	−	37.8354i	−1.79572	−	1.30467i
$842$	−35.4786	+	11.5277i	−1.22267	+	0.397271i
$843$			5.51800i			0.190050i
$844$	0.391709	+	1.20556i	0.0134832	+	0.0414970i
$845$	7.67112	+	19.7447i	0.263894	+	0.679238i
$846$	−7.26472	+	22.3585i	−0.249766	+	0.768702i
$847$	0.226558	+	0.0736132i	0.00778463	+	0.00252938i
$848$	3.92836	+	5.40692i	0.134900	+	0.185674i
$849$	−0.0887545			−0.00304605
$850$	30.5664	+	17.3191i	1.04842	+	0.594041i
$851$	−59.7930			−2.04968
$852$	−0.818525	−	1.12660i	−0.0280422	−	0.0385968i
$853$	3.92921	+	1.27668i	0.134534	+	0.0437126i	0.375510	−	0.926818i	$-0.377468\pi$
$853$	3.92921	+	1.27668i	0.134534	+	0.0437126i	−0.240976	+	0.970531i	$0.577468\pi$
$854$	0.00756151	−	0.0232719i	0.000258750	−	0.000796350i
$855$	1.65848	−	6.29131i	0.0567190	−	0.215158i
$856$	−2.13265	−	6.56363i	−0.0728925	−	0.224340i
$857$		−	7.72909i		−	0.264021i	−0.991248	−	0.132010i	$-0.957857\pi$
$857$		−	7.72909i		−	0.264021i	0.991248	−	0.132010i	$-0.0421432\pi$
$858$	1.71578	−	0.557490i	0.0585757	−	0.0190324i
$859$	−10.0434	−	7.29699i	−0.342678	−	0.248970i	0.403113	−	0.915150i	$-0.367928\pi$
$859$	−10.0434	−	7.29699i	−0.342678	−	0.248970i	−0.745791	+	0.666180i	$0.767928\pi$
$860$	6.14155	+	1.61901i	0.209425	+	0.0552076i
$861$	0.373949	−	0.271690i	0.0127441	−	0.00925916i
$862$	−13.4954	+	18.5748i	−0.459655	+	0.632661i
$863$	8.85653	−	12.1900i	0.301480	−	0.414951i	−0.631221	−	0.775603i	$-0.717446\pi$
$863$	8.85653	−	12.1900i	0.301480	−	0.414951i	0.932700	+	0.360652i	$0.117446\pi$
$864$	−1.43687	+	1.04395i	−0.0488834	+	0.0355159i
$865$	−24.1154	−	29.5347i	−0.819947	−	1.00421i
$866$	20.7173	+	15.0520i	0.704002	+	0.511487i
$867$	9.25233	−	3.00627i	0.314226	−	0.102098i
$868$		−	3.26892i		−	0.110954i
$869$	8.85838	+	27.2633i	0.300500	+	0.924844i
$870$	−6.48326	+	0.366095i	−0.219803	+	0.0124118i
$871$	4.56078	−	14.0366i	0.154536	−	0.475613i
$872$	9.23726	+	3.00137i	0.312813	+	0.101639i
$873$	−6.47109	−	8.90670i	−0.219013	−	0.301446i
$874$	−7.76046			−0.262501
$875$	−0.572847	−	3.35277i	−0.0193657	−	0.113344i
$876$	1.94151			0.0655975
$877$	22.5418	+	31.0262i	0.761184	+	1.04768i	0.997115	+	0.0759098i	$0.0241861\pi$
$877$	22.5418	+	31.0262i	0.761184	+	1.04768i	−0.235931	+	0.971770i	$0.575814\pi$
$878$	24.0731	+	7.82181i	0.812426	+	0.263973i
$879$	−0.557301	+	1.71519i	−0.0187973	+	0.0578521i
$880$	−7.13600	+	0.402954i	−0.240555	+	0.0135836i
$881$	−6.06973	−	18.6807i	−0.204494	−	0.629369i	−0.999734	−	0.0230734i	$-0.992655\pi$
$881$	−6.06973	−	18.6807i	−0.204494	−	0.629369i	0.795239	−	0.606296i	$-0.207345\pi$
$882$		−	20.0984i		−	0.676750i
$883$	5.44279	−	1.76847i	0.183164	−	0.0595137i	−0.215999	−	0.976394i	$-0.569301\pi$
$883$	5.44279	−	1.76847i	0.183164	−	0.0595137i	0.399163	+	0.916880i	$0.369301\pi$
$884$	10.6755	+	7.75619i	0.359055	+	0.260869i
$885$	−0.616827	−	0.755445i	−0.0207344	−	0.0253940i
$886$	28.9852	−	21.0589i	0.973775	−	0.707489i
$887$	−11.2381	+	15.4679i	−0.377339	+	0.519363i	−0.954877	−	0.297001i	$-0.904013\pi$
$887$	−11.2381	+	15.4679i	−0.377339	+	0.519363i	0.577538	+	0.816364i	$0.304013\pi$
$888$	1.36107	−	1.87335i	0.0456744	−	0.0628654i
$889$	−3.30505	+	2.40126i	−0.110848	+	0.0805358i
$890$	−18.0636	−	4.76183i	−0.605492	−	0.159617i
$891$	21.1925	+	15.3972i	0.709974	+	0.515826i
$892$	27.6002	−	8.96784i	0.924123	−	0.300266i
$893$		−	8.07964i		−	0.270375i
$894$	1.88604	+	5.80464i	0.0630787	+	0.194136i
$895$	6.09077	−	23.1048i	0.203592	−	0.772307i
$896$	0.0940112	−	0.289337i	0.00314069	−	0.00966606i
$897$	4.16569	+	1.35352i	0.139088	+	0.0451926i
$898$	−9.09531	−	12.5186i	−0.303514	−	0.417752i
$899$	103.827			3.46281
$900$	10.7324	−	9.82198i	0.357746	−	0.327399i
$901$	−46.9597			−1.56446
$902$	9.49817	+	13.0731i	0.316255	+	0.435287i
$903$	−0.246992	−	0.0802525i	−0.00821938	−	0.00267064i
$904$	−4.28617	+	13.1915i	−0.142556	+	0.438741i
$905$	−13.7614	−	35.4204i	−0.457444	−	1.17741i
$906$	−0.511686	−	1.57481i	−0.0169996	−	0.0523194i
$907$			3.30961i			0.109894i	0.998489	+	0.0549468i	$0.0174989\pi$
$907$			3.30961i			0.109894i	−0.998489	+	0.0549468i	$0.982501\pi$
$908$	5.08557	−	1.65240i	0.168771	−	0.0548369i
$909$	−21.7463	−	15.7996i	−0.721278	−	0.524039i
$910$	−0.0720258	−	1.27552i	−0.00238763	−	0.0422831i
$911$	−28.0170	+	20.3556i	−0.928245	+	0.674410i	−0.945563	−	0.325441i	$-0.894487\pi$
$911$	−28.0170	+	20.3556i	−0.928245	+	0.674410i	0.0173174	+	0.999850i	$0.494487\pi$
$912$	0.176651	−	0.243139i	0.00584950	−	0.00805114i
$913$	−15.1940	+	20.9128i	−0.502849	+	0.692113i
$914$	−20.4386	+	14.8495i	−0.676050	+	0.491179i
$915$	0.0503830	−	0.0195746i	0.00166561	−	0.000647116i
$916$	−21.5576	−	15.6625i	−0.712282	−	0.517503i
$917$	−5.30765	+	1.72456i	−0.175274	+	0.0569500i
$918$		−	12.4794i		−	0.411882i
$919$	0.740843	+	2.28008i	0.0244382	+	0.0752129i	0.962532	−	0.271169i	$-0.0874102\pi$
$919$	0.740843	+	2.28008i	0.0244382	+	0.0752129i	−0.938094	+	0.346382i	$0.887410\pi$
$920$	−14.5915	−	9.39208i	−0.481068	−	0.309648i
$921$	0.214849	−	0.661238i	0.00707952	−	0.0217885i
$922$	36.7308	+	11.9346i	1.20966	+	0.393044i
$923$	5.11483	+	7.03996i	0.168357	+	0.231723i
$924$	0.292251			0.00961435
$925$	−18.9914	+	33.5178i	−0.624432	+	1.10206i
$926$	−25.1990			−0.828092
$927$	−3.42524	−	4.71444i	−0.112500	−	0.154843i
$928$	9.18985	+	2.98596i	0.301672	+	0.0980191i
$929$	7.33476	−	22.5741i	0.240646	−	0.740631i	−0.755677	−	0.654945i	$-0.772692\pi$
$929$	7.33476	−	22.5741i	0.240646	−	0.740631i	0.996322	−	0.0856862i	$-0.0273082\pi$
$930$	5.59322	−	4.56691i	0.183409	−	0.149755i
$931$	2.13452	+	6.56937i	0.0699560	+	0.215302i
$932$		−	5.72071i		−	0.187388i
$933$	2.54008	−	0.825322i	0.0831584	−	0.0270198i
$934$	−4.06965	−	2.95678i	−0.133163	−	0.0967486i
$935$	27.1812	−	42.2287i	0.888921	−	1.38103i
$936$	4.42078	−	3.21189i	0.144498	−	0.104984i
$937$	4.74454	−	6.53030i	0.154997	−	0.213335i	−0.724456	−	0.689322i	$-0.757909\pi$
$937$	4.74454	−	6.53030i	0.154997	−	0.213335i	0.879453	+	0.475986i	$0.157909\pi$
$938$	1.40532	−	1.93426i	0.0458854	−	0.0631558i
$939$	−2.94449	+	2.13930i	−0.0960899	+	0.0698134i
$940$	9.77837	−	15.1916i	0.318935	−	0.495497i
$941$	40.2732	+	29.2602i	1.31287	+	0.953856i	0.999992	+	0.00406254i	$0.00129315\pi$
$941$	40.2732	+	29.2602i	1.31287	+	0.953856i	0.312878	+	0.949793i	$0.398707\pi$
$942$	4.19688	−	1.36365i	0.136742	−	0.0444300i
$943$			39.2326i			1.27759i
$944$	0.448466	+	1.38024i	0.0145963	+	0.0449229i
$945$	−0.935872	+	0.764147i	−0.0304439	+	0.0248577i
$946$	2.80560	−	8.63474i	0.0912178	−	0.280740i
$947$	−25.6282	−	8.32711i	−0.832805	−	0.270595i	−0.138579	−	0.990351i	$-0.544253\pi$
$947$	−25.6282	−	8.32711i	−0.832805	−	0.270595i	−0.694226	+	0.719757i	$0.744253\pi$
$948$	−1.58426	−	2.18055i	−0.0514544	−	0.0708209i
$949$	−12.1322			−0.393827
$950$	−2.46486	+	4.35022i	−0.0799707	+	0.141140i
$951$	−9.02282			−0.292585
$952$	1.25646	+	1.72937i	0.0407222	+	0.0560492i
$953$	−2.10576	−	0.684204i	−0.0682124	−	0.0221636i	0.274712	−	0.961527i	$-0.411417\pi$
$953$	−2.10576	−	0.684204i	−0.0682124	−	0.0221636i	−0.342924	+	0.939363i	$0.611417\pi$
$954$	−6.00924	+	18.4945i	−0.194556	+	0.598783i
$955$	16.6782	+	10.7352i	0.539694	+	0.347383i
$956$	−2.95169	−	9.08437i	−0.0954645	−	0.293809i
$957$			9.28241i			0.300058i
$958$	39.9522	−	12.9812i	1.29080	−	0.419405i
$959$	−1.26224	−	0.917072i	−0.0407599	−	0.0296138i
$960$	0.626405	−	0.243368i	0.0202171	−	0.00785467i
$961$	−68.3255	+	49.6414i	−2.20405	+	1.60134i
$962$	−8.50508	+	11.7062i	−0.274215	+	0.377424i
$963$	11.8032	−	16.2458i	0.380354	−	0.523512i
$964$	−7.67913	+	5.57921i	−0.247328	+	0.179694i
$965$	1.60248	+	28.3786i	0.0515855	+	0.913539i
$966$	0.574036	+	0.417062i	0.0184693	+	0.0134187i
$967$	43.8700	−	14.2542i	1.41076	−	0.458385i	0.498108	−	0.867115i	$-0.334028\pi$
$967$	43.8700	−	14.2542i	1.41076	−	0.458385i	0.912655	+	0.408730i	$0.134028\pi$
$968$		−	0.783026i		−	0.0251674i
$969$	0.652549	+	2.00834i	0.0209629	+	0.0645171i
$970$	3.06394	+	7.88627i	0.0983772	+	0.253213i
$971$	−9.66278	+	29.7390i	−0.310093	+	0.954369i	0.667634	+	0.744490i	$0.267307\pi$
$971$	−9.66278	+	29.7390i	−0.310093	+	0.954369i	−0.977727	+	0.209879i	$0.932693\pi$
$972$	−7.40987	−	2.40761i	−0.237672	−	0.0772242i
$973$	4.19762	+	5.77753i	0.134570	+	0.185219i
$974$	28.1800			0.902947
$975$	2.08183	−	1.90523i	0.0666719	−	0.0610163i
$976$	−0.0804320			−0.00257457
$977$	−15.5144	−	21.3537i	−0.496349	−	0.683166i	0.485194	−	0.874407i	$-0.338749\pi$
$977$	−15.5144	−	21.3537i	−0.496349	−	0.683166i	−0.981543	+	0.191240i	$0.938749\pi$
$978$	−3.90790	−	1.26975i	−0.124961	−	0.0406022i
$979$	−8.25184	+	25.3966i	−0.263730	+	0.811678i
$980$	−3.93717	+	14.9353i	−0.125768	+	0.477090i
$981$	8.73301	+	26.8774i	0.278824	+	0.858131i
$982$			14.4396i			0.460787i
$983$	21.2775	−	6.91347i	0.678646	−	0.220505i	0.0506434	−	0.998717i	$-0.483873\pi$
$983$	21.2775	−	6.91347i	0.678646	−	0.220505i	0.628002	+	0.778211i	$0.283873\pi$
$984$	−1.22918	−	0.893051i	−0.0391848	−	0.0284694i
$985$	15.8960	+	4.19043i	0.506489	+	0.133518i
$986$	−54.9279	+	39.9075i	−1.74926	+	1.27091i
$987$	−0.434215	+	0.597646i	−0.0138212	+	0.0190233i
$988$	−1.10386	+	1.51934i	−0.0351186	+	0.0483365i
$989$	17.8331	−	12.9565i	0.567059	−	0.411993i
$990$	−13.1530	−	16.1088i	−0.418030	−	0.511972i
$991$	−20.8791	−	15.1696i	−0.663248	−	0.481878i	0.204510	−	0.978864i	$-0.434440\pi$
$991$	−20.8791	−	15.1696i	−0.663248	−	0.481878i	−0.867758	+	0.496987i	$0.834440\pi$
$992$	−10.2191	+	3.32039i	−0.324457	+	0.105422i
$993$			0.00583890i			0.000185292i
$994$	0.435608	+	1.34066i	0.0138166	+	0.0425232i
$995$	−8.41402	+	0.475120i	−0.266742	+	0.0150623i
$996$	0.751057	−	2.31152i	0.0237982	−	0.0732432i
$997$	−31.1241	−	10.1128i	−0.985710	−	0.320277i	−0.228569	−	0.973528i	$-0.573405\pi$
$997$	−31.1241	−	10.1128i	−0.985710	−	0.320277i	−0.757141	+	0.653251i	$0.773405\pi$
$998$	−4.75014	−	6.53801i	−0.150363	−	0.206957i
$999$	13.6844			0.432954

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.a.39.18	✓	88
25.9	even	10	inner	950.2.n.a.609.18	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.a.39.18	✓	88	1.1	even	1	trivial
950.2.n.a.609.18	yes	88	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)

\(f(q)\)	\(=\)	\(q+(0.587785 + 0.809017i) q^{2} +(0.285827 + 0.0928709i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.23251 - 0.126065i) q^{5} +(0.0928709 + 0.285827i) q^{6} -0.304227i q^{7} +(-0.951057 + 0.309017i) q^{8} +(-2.35398 - 1.71027i) q^{9} +O(q^{10})\)	\(q+(0.587785 + 0.809017i) q^{2} +(0.285827 + 0.0928709i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.23251 - 0.126065i) q^{5} +(0.0928709 + 0.285827i) q^{6} -0.304227i q^{7} +(-0.951057 + 0.309017i) q^{8} +(-2.35398 - 1.71027i) q^{9} +(1.41423 + 1.73204i) q^{10} +(2.58594 - 1.87880i) q^{11} +(-0.176651 + 0.243139i) q^{12} +(1.10386 - 1.51934i) q^{13} +(0.246125 - 0.178820i) q^{14} +(0.649820 + 0.171303i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(6.68251 - 2.17128i) q^{17} -2.90968i q^{18} +(0.309017 + 0.951057i) q^{19} +(-0.569989 + 2.16220i) q^{20} +(0.0282538 - 0.0869563i) q^{21} +(3.03996 + 0.987742i) q^{22} +(4.56148 + 6.27834i) q^{23} -0.300537 q^{24} +(4.96822 - 0.562883i) q^{25} +1.87800 q^{26} +(-1.04395 - 1.43687i) q^{27} +(0.289337 + 0.0940112i) q^{28} +(-2.98596 + 9.18985i) q^{29} +(0.243368 + 0.626405i) q^{30} +(-3.32039 - 10.2191i) q^{31} -1.00000i q^{32} +(0.913618 - 0.296853i) q^{33} +(5.68448 + 4.13002i) q^{34} +(-0.0383523 - 0.679190i) q^{35} +(2.35398 - 1.71027i) q^{36} +(-4.52879 + 6.23334i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(0.456616 - 0.331751i) q^{39} +(-2.08429 + 0.809779i) q^{40} +(4.08995 + 2.97152i) q^{41} +(0.0869563 - 0.0282538i) q^{42} -2.84042i q^{43} +(0.987742 + 3.03996i) q^{44} +(-5.47089 - 3.52143i) q^{45} +(-2.39811 + 7.38063i) q^{46} +(-7.68419 - 2.49675i) q^{47} +(-0.176651 - 0.243139i) q^{48} +6.90745 q^{49} +(3.37563 + 3.68852i) q^{50} +2.11169 q^{51} +(1.10386 + 1.51934i) q^{52} +(-6.35622 - 2.06526i) q^{53} +(0.548837 - 1.68915i) q^{54} +(5.53630 - 4.52043i) q^{55} +(0.0940112 + 0.289337i) q^{56} +0.300537i q^{57} +(-9.18985 + 2.98596i) q^{58} +(-1.17410 - 0.853034i) q^{59} +(-0.363724 + 0.565080i) q^{60} +(0.0650709 - 0.0472768i) q^{61} +(6.31575 - 8.69289i) q^{62} +(-0.520308 + 0.716143i) q^{63} +(0.809017 - 0.587785i) q^{64} +(2.27285 - 3.53110i) q^{65} +(0.777170 + 0.564647i) q^{66} +(7.47423 - 2.42852i) q^{67} +7.02641i q^{68} +(0.720721 + 2.21815i) q^{69} +(0.526933 - 0.430245i) q^{70} +(-1.43185 + 4.40679i) q^{71} +(2.76727 + 0.899140i) q^{72} +(-3.79718 - 5.22637i) q^{73} -7.70484 q^{74} +(1.47233 + 0.300515i) q^{75} -1.00000 q^{76} +(-0.571580 - 0.786713i) q^{77} +(0.536785 + 0.174412i) q^{78} +(-2.77136 + 8.52937i) q^{79} +(-1.88024 - 1.21025i) q^{80} +(2.53247 + 7.79415i) q^{81} +5.05545i q^{82} +(-7.69130 + 2.49906i) q^{83} +(0.0739694 + 0.0537419i) q^{84} +(14.6451 - 5.68983i) q^{85} +(2.29794 - 1.66955i) q^{86} +(-1.70694 + 2.34940i) q^{87} +(-1.87880 + 2.58594i) q^{88} +(-6.75873 + 4.91050i) q^{89} +(-0.366808 - 6.49589i) q^{90} +(-0.462223 - 0.335825i) q^{91} +(-7.38063 + 2.39811i) q^{92} -3.22926i q^{93} +(-2.49675 - 7.68419i) q^{94} +(0.809779 + 2.08429i) q^{95} +(0.0928709 - 0.285827i) q^{96} +(3.59849 + 1.16922i) q^{97} +(4.06009 + 5.58824i) q^{98} -9.30049 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9}+O(q^{10}) \) 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9	\( 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9} + 26 q^{11} + 10 q^{12} - 10 q^{14} + 12 q^{15} - 22 q^{16} - 40 q^{17} - 22 q^{19} + 10 q^{23} + 8 q^{24} + 6 q^{25} - 28 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} - 4 q^{30} + 2 q^{31} - 8 q^{34} - 48 q^{35} - 24 q^{36} + 50 q^{37} + 8 q^{39} + 32 q^{41} + 10 q^{42} + 4 q^{44} - 8 q^{45} + 10 q^{46} + 10 q^{48} - 56 q^{49} + 28 q^{50} - 60 q^{51} - 70 q^{53} - 8 q^{54} + 4 q^{55} + 10 q^{56} - 60 q^{58} - 28 q^{59} - 12 q^{60} - 58 q^{61} + 60 q^{63} + 22 q^{64} - 24 q^{65} + 4 q^{66} - 70 q^{67} - 8 q^{69} - 4 q^{70} + 48 q^{71} + 40 q^{73} + 52 q^{74} + 108 q^{75} - 88 q^{76} - 50 q^{78} - 20 q^{79} + 24 q^{81} - 80 q^{83} + 30 q^{85} + 20 q^{86} + 70 q^{87} + 10 q^{88} - 62 q^{89} - 104 q^{90} + 20 q^{91} - 10 q^{92} - 10 q^{94} + 2 q^{96} - 10 q^{97} + 60 q^{98} + 156 q^{99}+O(q^{100}) \) 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9 + 26 * q^11 + 10 * q^12 - 10 * q^14 + 12 * q^15 - 22 * q^16 - 40 * q^17 - 22 * q^19 + 10 * q^23 + 8 * q^24 + 6 * q^25 - 28 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 - 4 * q^30 + 2 * q^31 - 8 * q^34 - 48 * q^35 - 24 * q^36 + 50 * q^37 + 8 * q^39 + 32 * q^41 + 10 * q^42 + 4 * q^44 - 8 * q^45 + 10 * q^46 + 10 * q^48 - 56 * q^49 + 28 * q^50 - 60 * q^51 - 70 * q^53 - 8 * q^54 + 4 * q^55 + 10 * q^56 - 60 * q^58 - 28 * q^59 - 12 * q^60 - 58 * q^61 + 60 * q^63 + 22 * q^64 - 24 * q^65 + 4 * q^66 - 70 * q^67 - 8 * q^69 - 4 * q^70 + 48 * q^71 + 40 * q^73 + 52 * q^74 + 108 * q^75 - 88 * q^76 - 50 * q^78 - 20 * q^79 + 24 * q^81 - 80 * q^83 + 30 * q^85 + 20 * q^86 + 70 * q^87 + 10 * q^88 - 62 * q^89 - 104 * q^90 + 20 * q^91 - 10 * q^92 - 10 * q^94 + 2 * q^96 - 10 * q^97 + 60 * q^98 + 156 * q^99

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