LMFDB - Embedded newform 280.2.ba.b.59.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(19,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))

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

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

chi := DirichletCharacter("280.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.ba (of order $6$, degree $2$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$40$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			59.7
Character	$\chi$	$=$	280.59
Dual form			280.2.ba.b.19.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.24532 + 0.670206i) q^{2} +(-0.818911 + 1.41839i) q^{3} +(1.10165 - 1.66924i) q^{4} +(0.951297 - 2.02362i) q^{5} +(0.0691894 - 2.31520i) q^{6} +(-2.64158 + 0.148518i) q^{7} +(-0.253167 + 2.81707i) q^{8} +(0.158771 + 0.274999i) q^{9} +O(q^{10})$	\(q+(-1.24532 + 0.670206i) q^{2} +(-0.818911 + 1.41839i) q^{3} +(1.10165 - 1.66924i) q^{4} +(0.951297 - 2.02362i) q^{5} +(0.0691894 - 2.31520i) q^{6} +(-2.64158 + 0.148518i) q^{7} +(-0.253167 + 2.81707i) q^{8} +(0.158771 + 0.274999i) q^{9} +(0.171572 + 3.15762i) q^{10} +(-2.19380 + 3.79978i) q^{11} +(1.46550 + 2.92953i) q^{12} +2.75493i q^{13} +(3.19008 - 1.95536i) q^{14} +(2.09126 + 3.00648i) q^{15} +(-1.57275 - 3.67783i) q^{16} +(-0.648108 + 1.12256i) q^{17} +(-0.382026 - 0.236053i) q^{18} +(-3.86514 + 2.23154i) q^{19} +(-2.32992 - 3.81726i) q^{20} +(1.95256 - 3.86843i) q^{21} +(0.185353 - 6.20224i) q^{22} +(-0.136303 - 0.236084i) q^{23} +(-3.78840 - 2.66602i) q^{24} +(-3.19007 - 3.85013i) q^{25} +(-1.84637 - 3.43078i) q^{26} -5.43354 q^{27} +(-2.66218 + 4.57305i) q^{28} +9.84349i q^{29} +(-4.61925 - 2.34245i) q^{30} +(2.27724 - 3.94429i) q^{31} +(4.42348 + 3.52602i) q^{32} +(-3.59306 - 6.22335i) q^{33} +(0.0547583 - 1.83231i) q^{34} +(-2.21238 + 5.48684i) q^{35} +(0.633949 + 0.0379249i) q^{36} +(-3.94827 - 6.83861i) q^{37} +(3.31775 - 5.36942i) q^{38} +(-3.90758 - 2.25604i) q^{39} +(5.45985 + 3.19219i) q^{40} +3.95081i q^{41} +(0.161080 + 6.12605i) q^{42} +4.46362i q^{43} +(3.92595 + 7.84800i) q^{44} +(0.707531 - 0.0596857i) q^{45} +(0.327966 + 0.202649i) q^{46} +(7.22329 - 4.17037i) q^{47} +(6.50456 + 0.781043i) q^{48} +(6.95588 - 0.784646i) q^{49} +(6.55304 + 2.65664i) q^{50} +(-1.06148 - 1.83855i) q^{51} +(4.59865 + 3.03496i) q^{52} +(-5.40022 + 9.35345i) q^{53} +(6.76650 - 3.64159i) q^{54} +(5.60234 + 8.05413i) q^{55} +(0.250374 - 7.47913i) q^{56} -7.30972i q^{57} +(-6.59717 - 12.2583i) q^{58} +(3.31684 + 1.91498i) q^{59} +(7.32238 - 0.178748i) q^{60} +(-4.73907 - 8.20831i) q^{61} +(-0.192403 + 6.43813i) q^{62} +(-0.460248 - 0.702851i) q^{63} +(-7.87181 - 1.42638i) q^{64} +(5.57493 + 2.62076i) q^{65} +(8.64544 + 5.34198i) q^{66} +(8.32812 + 4.80824i) q^{67} +(1.15983 + 2.31851i) q^{68} +0.446480 q^{69} +(-0.922185 - 8.31562i) q^{70} -1.42046i q^{71} +(-0.814888 + 0.377648i) q^{72} +(1.84745 - 3.19988i) q^{73} +(9.50014 + 5.87010i) q^{74} +(8.07338 - 1.37187i) q^{75} +(-0.533039 + 8.91022i) q^{76} +(5.23077 - 10.3632i) q^{77} +(6.37821 + 0.190612i) q^{78} +(-12.3237 + 7.11507i) q^{79} +(-8.93869 - 0.316075i) q^{80} +(3.97327 - 6.88191i) q^{81} +(-2.64786 - 4.92003i) q^{82} +12.8354 q^{83} +(-4.30631 - 7.52094i) q^{84} +(1.65508 + 2.37941i) q^{85} +(-2.99155 - 5.55864i) q^{86} +(-13.9620 - 8.06094i) q^{87} +(-10.1489 - 7.14208i) q^{88} +(-3.15758 + 1.82303i) q^{89} +(-0.841101 + 0.548519i) q^{90} +(-0.409158 - 7.27737i) q^{91} +(-0.544239 - 0.0325581i) q^{92} +(3.72971 + 6.46005i) q^{93} +(-6.20031 + 10.0345i) q^{94} +(0.838889 + 9.94442i) q^{95} +(-8.62372 + 3.38675i) q^{96} -0.0199224 q^{97} +(-8.13643 + 5.63901i) q^{98} -1.39325 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) $ 80 * q + 6 * q^4 - 52 * q^9	$ 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) $ 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	−1.24532	+	0.670206i	−0.880575	+	0.473907i
$2$	−1.24532	+	0.670206i	−0.880575	+	0.473907i
$3$	−0.818911	+	1.41839i	−0.472798	+	0.818911i	−0.999515	−	0.0311300i	$-0.990089\pi$
$3$	−0.818911	+	1.41839i	−0.472798	+	0.818911i	0.526717	+	0.850041i	$0.323423\pi$
$4$	1.10165	−	1.66924i	0.550824	−	0.834622i
$5$	0.951297	−	2.02362i	0.425433	−	0.904990i
$5$	0.951297	−	2.02362i	0.425433	−	0.904990i
$6$	0.0691894	−	2.31520i	0.0282465	−	0.945175i
$7$	−2.64158	+	0.148518i	−0.998423	+	0.0561347i
$7$	−2.64158	+	0.148518i	−0.998423	+	0.0561347i
$8$	−0.253167	+	2.81707i	−0.0895081	+	0.995986i
$9$	0.158771	+	0.274999i	0.0529235	+	0.0916663i
$10$	0.171572	+	3.15762i	0.0542558	+	0.998527i
$11$	−2.19380	+	3.79978i	−0.661456	+	1.14568i	0.318777	+	0.947830i	$0.396728\pi$
$11$	−2.19380	+	3.79978i	−0.661456	+	1.14568i	−0.980233	+	0.197846i	$0.936605\pi$
$12$	1.46550	+	2.92953i	0.423052	+	0.845683i
$13$			2.75493i			0.764081i	0.924146	+	0.382040i	$0.124779\pi$
$13$			2.75493i			0.764081i	−0.924146	+	0.382040i	$0.875221\pi$
$14$	3.19008	−	1.95536i	0.852584	−	0.522591i
$15$	2.09126	+	3.00648i	0.539962	+	0.776269i
$16$	−1.57275	−	3.67783i	−0.393187	−	0.919459i
$17$	−0.648108	+	1.12256i	−0.157189	+	0.272260i	−0.933854	−	0.357654i	$-0.883577\pi$
$17$	−0.648108	+	1.12256i	−0.157189	+	0.272260i	0.776665	+	0.629914i	$0.216910\pi$
$18$	−0.382026	−	0.236053i	−0.0900445	−	0.0556381i
$19$	−3.86514	+	2.23154i	−0.886723	+	0.511950i	−0.872869	−	0.487954i	$-0.837743\pi$
$19$	−3.86514	+	2.23154i	−0.886723	+	0.511950i	−0.0138541	+	0.999904i	$0.504410\pi$
$20$	−2.32992	−	3.81726i	−0.520986	−	0.853565i
$21$	1.95256	−	3.86843i	0.426084	−	0.844160i
$22$	0.185353	−	6.20224i	0.0395175	−	1.32232i
$23$	−0.136303	−	0.236084i	−0.0284211	−	0.0492269i	0.851465	−	0.524411i	$-0.175715\pi$
$23$	−0.136303	−	0.236084i	−0.0284211	−	0.0492269i	−0.879886	+	0.475185i	$0.842381\pi$
$24$	−3.78840	−	2.66602i	−0.773304	−	0.544200i
$25$	−3.19007	−	3.85013i	−0.638013	−	0.770025i
$26$	−1.84637	−	3.43078i	−0.362104	−	0.672830i
$27$	−5.43354			−1.04569
$28$	−2.66218	+	4.57305i	−0.503104	+	0.864226i
$29$			9.84349i			1.82789i	0.405838	+	0.913945i	$0.366980\pi$
$29$			9.84349i			1.82789i	−0.405838	+	0.913945i	$0.633020\pi$
$30$	−4.61925	−	2.34245i	−0.843357	−	0.427671i
$31$	2.27724	−	3.94429i	0.409004	−	0.708416i	−0.585774	−	0.810474i	$-0.699209\pi$
$31$	2.27724	−	3.94429i	0.409004	−	0.708416i	0.994778	+	0.102058i	$0.0325428\pi$
$32$	4.42348	+	3.52602i	0.781968	+	0.623318i
$33$	−3.59306	−	6.22335i	−0.625471	−	1.08335i
$34$	0.0547583	−	1.83231i	0.00939098	−	0.314238i
$35$	−2.21238	+	5.48684i	−0.373961	+	0.927444i
$36$	0.633949	+	0.0379249i	0.105658	+	0.00632082i
$37$	−3.94827	−	6.83861i	−0.649092	−	1.12426i	−0.983340	−	0.181775i	$-0.941816\pi$
$37$	−3.94827	−	6.83861i	−0.649092	−	1.12426i	0.334248	−	0.942485i	$-0.391518\pi$
$38$	3.31775	−	5.36942i	0.538209	−	0.871035i
$39$	−3.90758	−	2.25604i	−0.625714	−	0.361256i
$40$	5.45985	+	3.19219i	0.863278	+	0.504729i
$41$			3.95081i			0.617013i	0.951222	+	0.308507i	$0.0998292\pi$
$41$			3.95081i			0.617013i	−0.951222	+	0.308507i	$0.900171\pi$
$42$	0.161080	+	6.12605i	0.0248551	+	0.945270i
$43$			4.46362i			0.680696i	0.940300	+	0.340348i	$0.110545\pi$
$43$			4.46362i			0.680696i	−0.940300	+	0.340348i	$0.889455\pi$
$44$	3.92595	+	7.84800i	0.591860	+	1.18313i
$45$	0.707531	−	0.0596857i	0.105472	−	0.00889742i
$46$	0.327966	+	0.202649i	0.0483559	+	0.0298789i
$47$	7.22329	−	4.17037i	1.05363	−	0.608311i	0.129963	−	0.991519i	$-0.458514\pi$
$47$	7.22329	−	4.17037i	1.05363	−	0.608311i	0.923662	+	0.383208i	$0.125181\pi$
$48$	6.50456	+	0.781043i	0.938852	+	0.112734i
$49$	6.95588	−	0.784646i	0.993698	−	0.112092i
$50$	6.55304	+	2.65664i	0.926739	+	0.375705i
$51$	−1.06148	−	1.83855i	−0.148638	−	0.257448i
$52$	4.59865	+	3.03496i	0.637718	+	0.420874i
$53$	−5.40022	+	9.35345i	−0.741777	+	1.28479i	0.209909	+	0.977721i	$0.432683\pi$
$53$	−5.40022	+	9.35345i	−0.741777	+	1.28479i	−0.951686	+	0.307074i	$0.900650\pi$
$54$	6.76650	−	3.64159i	0.920804	−	0.495558i
$55$	5.60234	+	8.05413i	0.755420	+	1.08602i
$56$	0.250374	−	7.47913i	0.0334576	−	0.999440i
$57$		−	7.30972i		−	0.968196i
$58$	−6.59717	−	12.2583i	−0.866251	−	1.60959i
$59$	3.31684	+	1.91498i	0.431816	+	0.249309i	0.700120	−	0.714025i	$-0.253130\pi$
$59$	3.31684	+	1.91498i	0.431816	+	0.249309i	−0.268304	+	0.963334i	$0.586463\pi$
$60$	7.32238	−	0.178748i	0.945315	−	0.0230763i
$61$	−4.73907	−	8.20831i	−0.606776	−	1.05097i	−0.991768	−	0.128047i	$-0.959129\pi$
$61$	−4.73907	−	8.20831i	−0.606776	−	1.05097i	0.384992	−	0.922920i	$-0.374204\pi$
$62$	−0.192403	+	6.43813i	−0.0244352	+	0.817644i
$63$	−0.460248	−	0.702851i	−0.0579858	−	0.0885509i
$64$	−7.87181	−	1.42638i	−0.983977	−	0.178298i
$65$	5.57493	+	2.62076i	0.691486	+	0.325065i
$66$	8.64544	+	5.34198i	1.06418	+	0.657553i
$67$	8.32812	+	4.80824i	1.01744	+	0.587420i	0.913362	−	0.407149i	$-0.133477\pi$
$67$	8.32812	+	4.80824i	1.01744	+	0.587420i	0.104079	+	0.994569i	$0.466810\pi$
$68$	1.15983	+	2.31851i	0.140650	+	0.281161i
$69$	0.446480			0.0537499
$70$	−0.922185	−	8.31562i	−0.110222	−	0.993907i
$71$		−	1.42046i		−	0.168578i	−0.996441	−	0.0842888i	$-0.973138\pi$
$71$		−	1.42046i		−	0.168578i	0.996441	−	0.0842888i	$-0.0268618\pi$
$72$	−0.814888	+	0.377648i	−0.0960354	+	0.0445062i
$73$	1.84745	−	3.19988i	0.216228	−	0.374518i	−0.737424	−	0.675430i	$-0.763958\pi$
$73$	1.84745	−	3.19988i	0.216228	−	0.374518i	0.953652	+	0.300912i	$0.0972912\pi$
$74$	9.50014	+	5.87010i	1.10437	+	0.682385i
$75$	8.07338	−	1.37187i	0.932234	−	0.158409i
$76$	−0.533039	+	8.91022i	−0.0611437	+	1.02207i
$77$	5.23077	−	10.3632i	0.596101	−	1.18100i
$78$	6.37821	+	0.190612i	0.722190	+	0.0215826i
$79$	−12.3237	+	7.11507i	−1.38652	+	0.800508i	−0.992921	−	0.118774i	$-0.962104\pi$
$79$	−12.3237	+	7.11507i	−1.38652	+	0.800508i	−0.393599	+	0.919282i	$0.628770\pi$
$80$	−8.93869	−	0.316075i	−0.999375	−	0.0353383i
$81$	3.97327	−	6.88191i	0.441475	−	0.764657i
$82$	−2.64786	−	4.92003i	−0.292407	−	0.543326i
$83$	12.8354			1.40887			0.704435	−	0.709769i	$-0.251201\pi$
$83$	12.8354			1.40887			0.704435	+	0.709769i	$0.251201\pi$
$84$	−4.30631	−	7.52094i	−0.469857	−	0.820602i
$85$	1.65508	+	2.37941i	0.179519	+	0.258083i
$86$	−2.99155	−	5.55864i	−0.322587	−	0.599403i
$87$	−13.9620	−	8.06094i	−1.49688	−	0.864223i
$88$	−10.1489	−	7.14208i	−1.08187	−	0.761348i
$89$	−3.15758	+	1.82303i	−0.334703	+	0.193241i	−0.657927	−	0.753082i	$-0.728567\pi$
$89$	−3.15758	+	1.82303i	−0.334703	+	0.193241i	0.323224	+	0.946322i	$0.395233\pi$
$90$	−0.841101	+	0.548519i	−0.0886598	+	0.0578190i
$91$	−0.409158	−	7.27737i	−0.0428914	−	0.762876i
$92$	−0.544239	−	0.0325581i	−0.0567408	−	0.00339442i
$93$	3.72971	+	6.46005i	0.386753	+	0.669876i
$94$	−6.20031	+	10.0345i	−0.639513	+	1.03498i
$95$	0.838889	+	9.94442i	0.0860682	+	1.02028i
$96$	−8.62372	+	3.38675i	−0.880155	+	0.345658i
$97$	−0.0199224			−0.00202282			−0.00101141	−	0.999999i	$-0.500322\pi$
$97$	−0.0199224			−0.00202282			−0.00101141	+	0.999999i	$0.500322\pi$
$98$	−8.13643	+	5.63901i	−0.821904	+	0.569626i
$99$	−1.39325			−0.140026
$100$	−9.94113	+	1.08352i	−0.994113	+	0.108352i
$101$	3.28413	−	5.68828i	0.326783	−	0.566005i	−0.655088	−	0.755552i	$-0.727369\pi$
$101$	3.28413	−	5.68828i	0.326783	−	0.566005i	0.981872	+	0.189547i	$0.0607019\pi$
$102$	2.55409	+	1.57817i	0.252893	+	0.156262i
$103$	9.28337	−	5.35976i	0.914718	−	0.528112i	0.0327715	−	0.999463i	$-0.489567\pi$
$103$	9.28337	−	5.35976i	0.914718	−	0.528112i	0.881946	+	0.471350i	$0.156233\pi$
$104$	−7.76085	−	0.697459i	−0.761014	−	0.0683914i
$105$	−5.97076	−	7.63126i	−0.582686	−	0.744735i
$106$	0.456262	−	15.2673i	0.0443161	−	1.48289i
$107$	2.95557	−	1.70640i	0.285725	−	0.164964i	−0.350287	−	0.936642i	$-0.613916\pi$
$107$	2.95557	−	1.70640i	0.285725	−	0.164964i	0.636013	+	0.771679i	$0.280583\pi$
$108$	−5.98584	+	9.06990i	−0.575988	+	0.872752i
$109$	7.73766	+	4.46734i	0.741134	+	0.427894i	0.822481	−	0.568792i	$-0.192589\pi$
$109$	7.73766	+	4.46734i	0.741134	+	0.427894i	−0.0813476	+	0.996686i	$0.525922\pi$
$110$	−12.3746	−	6.27526i	−1.17988	−	0.598322i
$111$	12.9331			1.22756
$112$	4.70076	+	9.48171i	0.444180	+	0.895938i
$113$			9.31026i			0.875836i	0.899015	+	0.437918i	$0.144284\pi$
$113$			9.31026i			0.875836i	−0.899015	+	0.437918i	$0.855716\pi$
$114$	4.89902	+	9.10295i	0.458835	+	0.852569i
$115$	−0.607408	+	0.0512396i	−0.0566411	+	0.00477811i
$116$	16.4312	+	10.8441i	1.52560	+	1.00685i
$117$	−0.757603	+	0.437402i	−0.0700405	+	0.0404379i
$118$	−5.41396	−	0.161796i	−0.498395	−	0.0148945i
$119$	1.54531	−	3.06158i	0.141658	−	0.280654i
$120$	−8.99891	+	5.13010i	−0.821484	+	0.468312i
$121$	−4.12553	−	7.14563i	−0.375048	−	0.649603i
$122$	11.4029	+	7.04583i	1.03237	+	0.637899i
$123$	−5.60381	−	3.23536i	−0.505279	−	0.291723i
$124$	−4.07527	−	8.14649i	−0.365970	−	0.731576i
$125$	−10.8259	+	2.79287i	−0.968297	+	0.249802i
$126$	1.04421	+	0.566814i	0.0930257	+	0.0504958i
$127$	2.88968			0.256418			0.128209	−	0.991747i	$-0.459077\pi$
$127$	2.88968			0.256418			0.128209	+	0.991747i	$0.459077\pi$
$128$	10.7589	−	3.49944i	0.950961	−	0.309309i
$129$	−6.33118	−	3.65531i	−0.557429	−	0.321832i
$130$	−8.69903	+	0.472669i	−0.762955	+	0.0414558i
$131$	−0.191301	+	0.110448i	−0.0167140	+	0.00964984i	−0.508334	−	0.861160i	$-0.669738\pi$
$131$	−0.191301	+	0.110448i	−0.0167140	+	0.00964984i	0.491620	+	0.870810i	$0.336405\pi$
$132$	−14.3466	−	0.858259i	−1.24871	−	0.0747018i
$133$	9.87864	−	6.46883i	0.856587	−	0.560919i
$134$	−13.5937	−	0.406246i	−1.17432	−	0.0350943i
$135$	−5.16891	+	10.9954i	−0.444869	+	0.946335i
$136$	−2.99824	−	2.10996i	−0.257097	−	0.180928i
$137$	1.81703	+	1.04906i	0.155239	+	0.0896274i	0.575607	−	0.817726i	$-0.304766\pi$
$137$	1.81703	+	1.04906i	0.155239	+	0.0896274i	−0.420368	+	0.907354i	$0.638099\pi$
$138$	−0.556011	+	0.299234i	−0.0473308	+	0.0254725i
$139$		−	16.0797i		−	1.36387i	−0.731415	−	0.681933i	$-0.761140\pi$
$139$		−	16.0797i		−	1.36387i	0.731415	−	0.681933i	$-0.238860\pi$
$140$	6.72160	+	9.73756i	0.568079	+	0.822974i
$141$			13.6606i			1.15043i
$142$	0.952001	+	1.76893i	0.0798901	+	0.148445i
$143$	−10.4681	−	6.04378i	−0.875389	−	0.505406i
$144$	0.761694	−	1.01644i	0.0634745	−	0.0847030i
$145$	19.9195	+	9.36408i	1.65422	+	0.777645i
$146$	−0.156091	+	5.22305i	−0.0129181	+	0.432263i
$147$	−4.58331	+	10.5087i	−0.378025	+	0.866747i
$148$	−15.7649	−	0.943107i	−1.29587	−	0.0775230i
$149$	10.5922	−	6.11539i	0.867744	−	0.500992i	0.00114601	−	0.999999i	$-0.499635\pi$
$149$	10.5922	−	6.11539i	0.867744	−	0.500992i	0.866598	+	0.499007i	$0.166302\pi$
$150$	−9.13451	+	7.11924i	−0.745830	+	0.581284i
$151$	−5.37065	−	3.10075i	−0.437058	−	0.252335i	0.265291	−	0.964168i	$-0.414532\pi$
$151$	−5.37065	−	3.10075i	−0.437058	−	0.252335i	−0.702349	+	0.711833i	$0.747865\pi$
$152$	−5.30788	−	11.4533i	−0.430526	−	0.928988i
$153$	−0.411602			−0.0332760
$154$	0.431521	+	16.4112i	0.0347729	+	1.32246i
$155$	−5.81542	−	8.36046i	−0.467106	−	0.671528i
$156$	−8.07066	+	4.03734i	−0.646170	+	0.323246i
$157$	−8.45018	−	4.87872i	−0.674398	−	0.389364i	0.123343	−	0.992364i	$-0.460638\pi$
$157$	−8.45018	−	4.87872i	−0.674398	−	0.389364i	−0.797741	+	0.603000i	$0.793972\pi$
$158$	10.5784	−	17.1199i	0.841568	−	1.36199i
$159$	−8.84459	−	15.3193i	−0.701422	−	1.21490i
$160$	11.3434	−	5.59715i	0.896772	−	0.442493i
$161$	0.395118	+	0.603390i	0.0311397	+	0.0475538i
$162$	−0.335700	+	11.2331i	−0.0263751	+	0.882555i
$163$	−11.6016	+	6.69821i	−0.908711	+	0.524644i	−0.880016	−	0.474944i	$-0.842468\pi$
$163$	−11.6016	+	6.69821i	−0.908711	+	0.524644i	−0.0286947	+	0.999588i	$0.509135\pi$
$164$	6.59487	+	4.35240i	0.514972	+	0.339865i
$165$	−16.0118	+	1.35072i	−1.24651	+	0.105153i
$166$	−15.9842	+	8.60237i	−1.24061	+	0.667674i
$167$			0.950030i			0.0735155i	0.999324	+	0.0367578i	$0.0117030\pi$
$167$			0.950030i			0.0735155i	−0.999324	+	0.0367578i	$0.988297\pi$
$168$	10.4033	+	6.47986i	0.802633	+	0.499932i
$169$	5.41034			0.416180
$170$	−3.65580	−	1.85388i	−0.280387	−	0.142186i
$171$	−1.22734	−	0.708606i	−0.0938571	−	0.0541884i
$172$	7.45087	+	4.91734i	0.568123	+	0.374943i
$173$	−6.18561	+	3.57127i	−0.470283	+	0.271518i	−0.716358	−	0.697733i	$-0.754192\pi$
$173$	−6.18561	+	3.57127i	−0.470283	+	0.271518i	0.246075	+	0.969251i	$0.420859\pi$
$174$	22.7896	+	0.681065i	1.72768	+	0.0516314i
$175$	8.99863	+	9.69663i	0.680233	+	0.732996i
$176$	17.4252	+	2.09236i	1.31348	+	0.157717i
$177$	−5.43239	+	3.13639i	−0.408324	+	0.235746i
$178$	2.71040	−	4.38649i	0.203153	−	0.328781i
$179$	−1.57410	+	2.72641i	−0.117653	+	0.203782i	−0.918837	−	0.394636i	$-0.870871\pi$
$179$	−1.57410	+	2.72641i	−0.117653	+	0.203782i	0.801184	+	0.598418i	$0.204204\pi$
$180$	0.679820	−	1.24679i	0.0506708	−	0.0929305i
$181$	−16.4575			−1.22328			−0.611640	−	0.791136i	$-0.709490\pi$
$181$	−16.4575			−1.22328			−0.611640	+	0.791136i	$0.709490\pi$
$182$	5.38687	+	8.78844i	0.399302	+	0.651443i
$183$	15.5235			1.14753
$184$	0.699573	−	0.324207i	0.0515732	−	0.0239009i
$185$	−17.5947	+	1.48425i	−1.29359	+	0.109124i
$186$	−8.97425	−	5.54516i	−0.658024	−	0.406591i
$187$	−2.84364	−	4.92533i	−0.207948	−	0.360176i
$188$	0.996159	−	16.6517i	0.0726524	−	1.21445i
$189$	14.3531	−	0.806980i	1.04404	−	0.0586992i
$190$	−7.70950	−	11.8218i	−0.559306	−	0.857641i
$191$	−13.9077	+	8.02964i	−1.00633	+	0.581004i	−0.910115	−	0.414357i	$-0.864007\pi$
$191$	−13.9077	+	8.02964i	−1.00633	+	0.581004i	−0.0962140	+	0.995361i	$0.530673\pi$
$192$	8.46948	−	9.99726i	0.611232	−	0.721490i
$193$	14.2638	+	8.23520i	1.02673	+	0.592783i	0.916046	−	0.401073i	$-0.131363\pi$
$193$	14.2638	+	8.23520i	1.02673	+	0.592783i	0.110684	+	0.993856i	$0.464696\pi$
$194$	0.0248098	−	0.0133521i	0.00178124	−	0.000958627i
$195$	−8.28265	+	5.76129i	−0.593133	+	0.412575i
$196$	6.35317	−	12.4755i	0.453798	−	0.891105i
$197$	−4.67126			−0.332814			−0.166407	−	0.986057i	$-0.553216\pi$
$197$	−4.67126			−0.332814			−0.166407	+	0.986057i	$0.553216\pi$
$198$	1.73504	−	0.933762i	0.123304	−	0.0663595i
$199$	5.83140	−	10.1003i	0.413377	−	0.715990i	−0.581879	−	0.813275i	$-0.697682\pi$
$199$	5.83140	−	10.1003i	0.413377	−	0.715990i	0.995257	+	0.0972849i	$0.0310158\pi$
$200$	11.6537	−	8.01193i	0.824042	−	0.566529i
$201$	−13.6400	+	7.87504i	−0.962089	+	0.555462i
$202$	−0.277475	+	9.28478i	−0.0195231	+	0.653275i
$203$	−1.46194	−	26.0024i	−0.102608	−	1.82501i
$204$	−4.23836	−	0.253553i	−0.296745	−	0.0177522i
$205$	7.99494	+	3.75840i	0.558391	+	0.262498i
$206$	−7.96863	+	12.8964i	−0.555201	+	0.898534i
$207$	0.0432818	−	0.0749663i	0.00300829	−	0.00521052i
$208$	10.1322	−	4.33281i	0.702541	−	0.300426i
$209$		−	19.5822i		−	1.35453i
$210$	12.5500	+	5.50173i	0.866034	+	0.379655i
$211$	14.7790			1.01743			0.508714	−	0.860936i	$-0.330121\pi$
$211$	14.7790			1.01743			0.508714	+	0.860936i	$0.330121\pi$
$212$	9.66405	+	19.3185i	0.663729	+	1.32680i
$213$	2.01477	+	1.16323i	0.138050	+	0.0797032i
$214$	−2.53699	+	4.10585i	−0.173425	+	0.280670i
$215$	9.03267	+	4.24623i	0.616023	+	0.289590i
$216$	1.37559	−	15.3067i	0.0935973	−	1.04149i
$217$	−5.42971	+	10.7574i	−0.368593	+	0.730258i
$218$	−12.6299	−	0.377444i	−0.855406	−	0.0255637i
$219$	3.02580	+	5.24084i	0.204464	+	0.354143i
$220$	19.6161	−	0.478854i	1.32252	−	0.0322843i
$221$	−3.09257	−	1.78549i	−0.208028	−	0.120105i
$222$	−16.1059	+	8.66786i	−1.08096	+	0.581749i
$223$			7.00259i			0.468928i	0.972125	+	0.234464i	$0.0753335\pi$
$223$			7.00259i			0.468928i	−0.972125	+	0.234464i	$0.924666\pi$
$224$	−12.2087	−	8.65729i	−0.815725	−	0.578440i
$225$	0.552291	−	1.48855i	0.0368194	−	0.0992368i
$226$	−6.23980	−	11.5943i	−0.415065	−	0.771239i
$227$	10.2610	−	17.7725i	0.681043	−	1.17960i	−0.293619	−	0.955922i	$-0.594860\pi$
$227$	10.2610	−	17.7725i	0.681043	−	1.17960i	0.974663	−	0.223679i	$-0.0718068\pi$
$228$	−12.2017	−	8.05274i	−0.808078	−	0.533305i
$229$	12.4920	+	21.6368i	0.825496	+	1.42980i	0.901539	+	0.432697i	$0.142438\pi$
$229$	12.4920	+	21.6368i	0.825496	+	1.42980i	−0.0760431	+	0.997105i	$0.524229\pi$
$230$	0.722077	−	0.470898i	0.0476123	−	0.0310501i
$231$	10.4156	+	15.9058i	0.685298	+	1.04653i
$232$	−27.7298	−	2.49205i	−1.82055	−	0.163611i
$233$	−3.61112	+	2.08488i	−0.236572	+	0.136585i	−0.613600	−	0.789617i	$-0.710279\pi$
$233$	−3.61112	+	2.08488i	−0.236572	+	0.136585i	0.377028	+	0.926202i	$0.376946\pi$
$234$	0.650309	−	1.05246i	0.0425120	−	0.0688013i
$235$	−1.56774	−	18.5844i	−0.102268	−	1.21232i
$236$	6.85055	−	3.42698i	0.445933	−	0.223078i
$237$		−	23.3064i		−	1.51392i
$238$	0.127483	+	4.84832i	0.00826348	+	0.314270i
$239$		−	26.5365i		−	1.71651i	−0.513228	−	0.858253i	$-0.671550\pi$
$239$		−	26.5365i		−	1.71651i	0.513228	−	0.858253i	$-0.328450\pi$
$240$	7.76830	−	12.4197i	0.501442	−	0.801691i
$241$	26.1925	+	15.1223i	1.68721	+	0.974110i	0.956641	+	0.291268i	$0.0940772\pi$
$241$	26.1925	+	15.1223i	1.68721	+	0.974110i	0.730566	+	0.682842i	$0.239256\pi$
$242$	9.92665	+	6.13364i	0.638110	+	0.394286i
$243$	−1.64280	−	2.84541i	−0.105386	−	0.182533i
$244$	−18.9225	−	1.13200i	−1.21139	−	0.0724691i
$245$	5.02929	−	14.8225i	0.321309	−	0.946974i
$246$	9.14690	+	0.273354i	0.583185	+	0.0174284i
$247$	−6.14774	−	10.6482i	−0.391171	−	0.677528i
$248$	10.5348	+	7.41372i	0.668963	+	0.470772i
$249$	−10.5111	+	18.2057i	−0.666111	+	1.15374i
$250$	11.6099	−	10.7336i	0.734275	−	0.678852i
$251$			21.4077i			1.35124i	0.737250	+	0.675620i	$0.236124\pi$
$251$			21.4077i			1.35124i	−0.737250	+	0.675620i	$0.763876\pi$
$252$	−1.68026	−	0.00602856i	−0.105846	−	0.000379764i
$253$	1.19609			0.0751973
$254$	−3.59858	+	1.93668i	−0.225795	+	0.121518i
$255$	−4.73030	+	0.399037i	−0.296223	+	0.0249887i
$256$	−11.0529	+	11.5686i	−0.690809	+	0.723038i
$257$	4.90535	+	8.49632i	0.305988	+	0.529986i	0.977481	−	0.211025i	$-0.0676801\pi$
$257$	4.90535	+	8.49632i	0.305988	+	0.529986i	−0.671493	+	0.741011i	$0.734347\pi$
$258$	10.3342	+	0.308835i	0.643376	+	0.0192272i
$259$	11.4453	+	17.4783i	0.711178	+	1.08605i
$260$	10.5163	−	6.41877i	0.652193	−	0.398075i
$261$	−2.70695	+	1.56286i	−0.167556	+	0.0967384i
$262$	0.164208	−	0.265753i	0.0101448	−	0.0164183i
$263$	−6.21557	+	10.7657i	−0.383268	+	0.663840i	−0.991527	−	0.129898i	$-0.958535\pi$
$263$	−6.21557	+	10.7657i	−0.383268	+	0.663840i	0.608259	+	0.793739i	$0.291868\pi$
$264$	18.4413	−	8.54635i	1.13498	−	0.525992i
$265$	13.7906	+	19.8259i	0.847150	+	1.21789i
$266$	−7.96663	+	14.6765i	−0.488465	+	0.899874i
$267$		−	5.97160i		−	0.365456i
$268$	17.2008	−	8.60467i	1.05070	−	0.525614i
$269$	3.48319	−	6.03307i	0.212374	−	0.367843i	−0.740083	−	0.672516i	$-0.765214\pi$
$269$	3.48319	−	6.03307i	0.212374	−	0.367843i	0.952457	+	0.304673i	$0.0985471\pi$
$270$	−0.932242	−	17.1571i	−0.0567345	−	1.04415i
$271$	13.3991	+	23.2079i	0.813935	+	1.40978i	0.910090	+	0.414411i	$0.136012\pi$
$271$	13.3991	+	23.2079i	0.813935	+	1.40978i	−0.0961544	+	0.995366i	$0.530654\pi$
$272$	5.14788	+	0.618138i	0.312136	+	0.0374801i
$273$	10.6573	+	5.37917i	0.645006	+	0.325562i
$274$	−2.96587	−	0.0886348i	−0.179175	−	0.00535462i
$275$	21.6280	−	3.67513i	1.30422	−	0.221619i
$276$	0.491863	−	0.745284i	0.0296067	−	0.0448608i
$277$	−8.59103	+	14.8801i	−0.516185	+	0.894058i	0.483639	+	0.875268i	$0.339315\pi$
$277$	−8.59103	+	14.8801i	−0.516185	+	0.894058i	−0.999823	+	0.0187904i	$0.994018\pi$
$278$	10.7767	+	20.0244i	0.646346	+	1.20099i
$279$	1.44624			0.0865838
$280$	−14.8967	−	7.62153i	−0.890249	−	0.455474i
$281$	−24.3194			−1.45078			−0.725388	−	0.688341i	$-0.758339\pi$
$281$	−24.3194			−1.45078			−0.725388	+	0.688341i	$0.758339\pi$
$282$	−9.15544	−	17.0119i	−0.545199	−	1.01304i
$283$	−5.66683	+	9.81524i	−0.336858	+	0.583455i	−0.983840	−	0.179050i	$-0.942698\pi$
$283$	−5.66683	+	9.81524i	−0.336858	+	0.583455i	0.646982	+	0.762505i	$0.276031\pi$
$284$	−2.37109	−	1.56485i	−0.140698	−	0.0928565i
$285$	−14.7921	−	6.95372i	−0.876208	−	0.411903i
$286$	17.0868	+	0.510636i	1.01036	+	0.0301945i
$287$	−0.586768	−	10.4364i	−0.0346358	−	0.616040i
$288$	−0.267332	+	1.77628i	−0.0157527	+	0.104668i
$289$	7.65991	+	13.2674i	0.450583	+	0.780433i
$290$	−31.0820	+	1.68887i	−1.82520	+	0.0991736i
$291$	0.0163147	−	0.0282579i	0.000956384	−	0.00165650i
$292$	−3.30614	−	6.60899i	−0.193477	−	0.386762i
$293$		−	13.5647i		−	0.792460i	−0.918151	−	0.396230i	$-0.870318\pi$
$293$		−	13.5647i		−	0.792460i	0.918151	−	0.396230i	$-0.129682\pi$
$294$	−1.33534	−	16.1585i	−0.0778783	−	0.942384i
$295$	7.03049	−	4.89031i	0.409331	−	0.284725i
$296$	20.2644	−	9.39126i	1.17785	−	0.545856i
$297$	11.9201	−	20.6462i	0.691675	−	1.19802i
$298$	−9.09207	+	14.7146i	−0.526689	+	0.852391i
$299$	0.650395	−	0.375506i	0.0376133	−	0.0217160i
$300$	6.60404	−	14.9877i	0.381284	−	0.865318i
$301$	−0.662929	−	11.7910i	−0.0382106	−	0.679622i
$302$	8.76633	+	0.261981i	0.504445	+	0.0150753i
$303$	5.37882	+	9.31639i	0.309005	+	0.535213i
$304$	14.2861	+	10.7057i	0.819365	+	0.614014i
$305$	−21.1188	+	1.78153i	−1.20926	+	0.102010i
$306$	0.512576	−	0.275858i	0.0293020	−	0.0157698i
$307$	−20.1572			−1.15043			−0.575216	−	0.818002i	$-0.695082\pi$
$307$	−20.1572			−1.15043			−0.575216	+	0.818002i	$0.695082\pi$
$308$	−11.5363	−	20.1480i	−0.657341	−	1.14804i
$309$			17.5566i			0.998763i
$310$	12.8453	+	6.51393i	0.729564	+	0.369966i
$311$	−6.65610	+	11.5287i	−0.377433	+	0.653733i	−0.990688	−	0.136152i	$-0.956526\pi$
$311$	−6.65610	+	11.5287i	−0.377433	+	0.653733i	0.613255	+	0.789885i	$0.289860\pi$
$312$	7.34471	−	10.4368i	0.415813	−	0.590867i
$313$	−13.3898	−	23.1919i	−0.756838	−	1.31088i	−0.944456	−	0.328639i	$-0.893410\pi$
$313$	−13.3898	−	23.1919i	−0.756838	−	1.31088i	0.187618	−	0.982242i	$-0.439923\pi$
$314$	13.7929	+	0.412201i	0.778380	+	0.0232618i
$315$	−1.86013	+	0.262746i	−0.104807	+	0.0148040i
$316$	−1.69955	+	28.4095i	−0.0956071	+	1.59816i
$317$	15.3924	+	26.6604i	0.864524	+	1.49740i	0.867519	+	0.497403i	$0.165713\pi$
$317$	15.3924	+	26.6604i	0.864524	+	1.49740i	−0.00299582	+	0.999996i	$0.500954\pi$
$318$	21.2814	+	13.1497i	1.19340	+	0.737399i
$319$	−37.4031	−	21.5947i	−2.09417	−	1.20907i
$320$	−10.3749	+	14.5726i	−0.579974	+	0.814635i
$321$			5.58955i			0.311978i
$322$	−0.896444	−	0.486604i	−0.0499569	−	0.0271174i
$323$		−	5.78511i		−	0.321892i
$324$	−7.11044	−	14.2138i	−0.395024	−	0.789655i
$325$	10.6068	−	8.78842i	0.588362	−	0.487494i
$326$	9.95858	−	16.1169i	0.551555	−	0.892633i
$327$	−12.6729	+	7.31671i	−0.700814	+	0.404615i
$328$	−11.1297	−	1.00022i	−0.614536	−	0.0552277i
$329$	−18.4615	+	12.0892i	−1.01782	+	0.666497i
$330$	19.0345	−	12.4133i	1.04782	−	0.683327i
$331$	−2.30264	−	3.98829i	−0.126564	−	0.219216i	0.795779	−	0.605587i	$-0.207062\pi$
$331$	−2.30264	−	3.98829i	−0.126564	−	0.219216i	−0.922343	+	0.386371i	$0.873728\pi$
$332$	14.1401	−	21.4254i	0.776039	−	1.17587i
$333$	1.25374	−	2.17154i	0.0687045	−	0.119000i
$334$	−0.636716	−	1.18309i	−0.0348395	−	0.0647359i
$335$	17.6526	−	12.2789i	0.964462	−	0.670866i
$336$	−17.2983	−	1.09714i	−0.943700	−	0.0598540i
$337$			12.2970i			0.669862i	0.942243	+	0.334931i	$0.108713\pi$
$337$			12.2970i			0.669862i	−0.942243	+	0.334931i	$0.891287\pi$
$338$	−6.73761	+	3.62605i	−0.366478	+	0.197231i
$339$	−13.2056	−	7.62427i	−0.717231	−	0.414094i
$340$	5.79513	−	0.141466i	0.314285	−	0.00767209i
$341$	9.99162	+	17.3060i	0.541077	+	0.937172i
$342$	2.00334	+	0.0598698i	0.108328	+	0.00323739i
$343$	−18.2580	+	3.10578i	−0.985839	+	0.167696i
$344$	−12.5743	−	1.13004i	−0.677963	−	0.0609278i
$345$	0.424735	−	0.903505i	0.0228670	−	0.0486431i
$346$	5.30959	−	8.59301i	0.285445	−	0.461963i
$347$	−6.93751	−	4.00537i	−0.372425	−	0.215020i	0.302092	−	0.953279i	$-0.402315\pi$
$347$	−6.93751	−	4.00537i	−0.372425	−	0.215020i	−0.674517	+	0.738259i	$0.735648\pi$
$348$	−28.8368	+	14.4256i	−1.54582	+	0.773293i
$349$	−15.3254			−0.820347			−0.410174	−	0.912007i	$-0.634532\pi$
$349$	−15.3254			−0.820347			−0.410174	+	0.912007i	$0.634532\pi$
$350$	−17.7049	−	6.04448i	−0.946368	−	0.323091i
$351$		−	14.9690i		−	0.798988i
$352$	−23.1023	+	9.07285i	−1.23136	+	0.483584i
$353$	−14.7109	+	25.4800i	−0.782981	+	1.35616i	0.147216	+	0.989104i	$0.452969\pi$
$353$	−14.7109	+	25.4800i	−0.782981	+	1.35616i	−0.930198	+	0.367059i	$0.880365\pi$
$354$	4.66304	−	7.54664i	0.247838	−	0.401099i
$355$	−2.87447	−	1.35128i	−0.152561	−	0.0717184i
$356$	−0.435460	+	7.27911i	−0.0230793	+	0.385792i
$357$	3.07705	+	4.69901i	0.162855	+	0.248698i
$358$	0.132995	−	4.45023i	0.00702899	−	0.235202i
$359$	−3.08814	+	1.78294i	−0.162986	+	0.0940998i	−0.579274	−	0.815133i	$-0.696664\pi$
$359$	−3.08814	+	1.78294i	−0.162986	+	0.0940998i	0.416289	+	0.909233i	$0.363331\pi$
$360$	−0.0109846	+	2.00828i	−0.000578939	+	0.105846i
$361$	0.459526	−	0.795923i	0.0241856	−	0.0418907i
$362$	20.4949	−	11.0300i	1.07719	−	0.579721i
$363$	13.5138			0.709289
$364$	−12.5985	−	7.33412i	−0.660339	−	0.384412i
$365$	−4.71787	−	6.78258i	−0.246944	−	0.355016i
$366$	−19.3317	+	10.4039i	−1.01049	+	0.543823i
$367$	8.15253	+	4.70686i	0.425558	+	0.245696i	0.697453	−	0.716631i	$-0.254317\pi$
$367$	8.15253	+	4.70686i	0.425558	+	0.245696i	−0.271894	+	0.962327i	$0.587650\pi$
$368$	−0.653907	+	0.872600i	−0.0340873	+	0.0454874i
$369$	−1.08647	+	0.627273i	−0.0565593	+	0.0326545i
$370$	20.9163	−	13.6404i	1.08739	−	0.709133i
$371$	12.8759	−	25.5099i	0.668486	−	1.32441i
$372$	14.8922	+	0.890901i	0.772126	+	0.0461911i
$373$	−2.95853	−	5.12432i	−0.153187	−	0.265327i	0.779211	−	0.626762i	$-0.215620\pi$
$373$	−2.95853	−	5.12432i	−0.153187	−	0.265327i	−0.932397	+	0.361435i	$0.882287\pi$
$374$	6.84223	+	4.22779i	0.353803	+	0.218614i
$375$	4.90405	−	17.6425i	0.253244	−	0.911055i
$376$	9.91954	+	21.4043i	0.511561	+	1.10384i
$377$	−27.1182			−1.39666
$378$	−17.3334	+	10.6245i	−0.891534	+	0.546466i
$379$	10.0919			0.518388			0.259194	−	0.965825i	$-0.416543\pi$
$379$	10.0919			0.518388			0.259194	+	0.965825i	$0.416543\pi$
$380$	17.5238	+	9.55494i	0.898953	+	0.490158i
$381$	−2.36639	+	4.09871i	−0.121234	+	0.209983i
$382$	11.9381	−	19.3205i	0.610805	−	0.988524i
$383$	−18.3760	+	10.6094i	−0.938968	+	0.542113i	−0.889637	−	0.456669i	$-0.849042\pi$
$383$	−18.3760	+	10.6094i	−0.938968	+	0.542113i	−0.0493313	+	0.998782i	$0.515709\pi$
$384$	−3.84700	+	18.1261i	−0.196316	+	0.924993i
$385$	−15.9952	−	20.4436i	−0.815192	−	1.04190i
$386$	−23.2823	−	0.695789i	−1.18504	−	0.0354147i
$387$	−1.22749	+	0.708692i	−0.0623968	+	0.0360248i
$388$	−0.0219475	+	0.0332554i	−0.00111421	+	0.00168829i
$389$	17.0998	+	9.87258i	0.866995	+	0.500560i	0.866349	−	0.499440i	$-0.166461\pi$
$389$	17.0998	+	9.87258i	0.866995	+	0.500560i	0.000646573		1.00000i	$0.499794\pi$
$390$	6.45330	−	12.7257i	0.326775	−	0.644393i
$391$	0.353356			0.0178700
$392$	0.449404	+	19.7939i	0.0226983	+	0.999742i
$393$		−	0.361787i		−	0.0182497i
$394$	5.81722	−	3.13071i	0.293067	−	0.157723i
$395$	2.67473	+	31.7069i	0.134580	+	1.59535i
$396$	−1.53486	+	2.32567i	−0.0771299	+	0.116869i
$397$	7.56788	−	4.36932i	0.379821	−	0.219290i	−0.297919	−	0.954591i	$-0.596293\pi$
$397$	7.56788	−	4.36932i	0.379821	−	0.219290i	0.677740	+	0.735301i	$0.262959\pi$
$398$	−0.492693	+	16.4863i	−0.0246964	+	0.826385i
$399$	1.08563	+	19.3092i	0.0543494	+	0.966670i
$400$	−9.14296	+	17.7878i	−0.457148	+	0.889391i
$401$	−12.7155	−	22.0240i	−0.634984	−	1.09982i	−0.986519	−	0.163649i	$-0.947673\pi$
$401$	−12.7155	−	22.0240i	−0.634984	−	1.09982i	0.351535	−	0.936175i	$-0.385660\pi$
$402$	11.7082	−	18.9485i	0.583954	−	0.945067i
$403$	10.8663	+	6.27364i	0.541287	+	0.312512i
$404$	−5.87717	−	11.7485i	−0.292400	−	0.584509i
$405$	−10.1466	−	14.5871i	−0.504189	−	0.724840i
$406$	19.2475	+	31.4015i	0.955239	+	1.55843i
$407$	34.6469			1.71738
$408$	5.44805	−	2.52482i	0.269719	−	0.124997i
$409$	−10.4748	−	6.04761i	−0.517944	−	0.299035i	0.218149	−	0.975915i	$-0.429998\pi$
$409$	−10.4748	−	6.04761i	−0.517944	−	0.299035i	−0.736093	+	0.676880i	$0.763331\pi$
$410$	−12.4752	+	0.677848i	−0.616104	+	0.0334765i
$411$	−2.97597	+	1.71818i	−0.146794	+	0.0847514i
$412$	1.28026	−	21.4008i	0.0630740	−	1.05434i
$413$	−9.04611	−	4.56596i	−0.445130	−	0.224676i
$414$	−0.00365686	+	0.122365i	−0.000179725	+	0.00601390i
$415$	12.2103	−	25.9740i	0.599380	−	1.27501i
$416$	−9.71395	+	12.1864i	−0.476265	+	0.597487i
$417$	22.8074	+	13.1679i	1.11688	+	0.644833i
$418$	13.1241	+	24.3861i	0.641922	+	1.19276i
$419$		−	12.5618i		−	0.613682i	−0.951761	−	0.306841i	$-0.900728\pi$
$419$		−	12.5618i		−	0.613682i	0.951761	−	0.306841i	$-0.0992719\pi$
$420$	−19.3161	+	1.55969i	−0.942529	+	0.0761049i
$421$			3.98711i			0.194320i	0.995269	+	0.0971600i	$0.0309759\pi$
$421$			3.98711i			0.194320i	−0.995269	+	0.0971600i	$0.969024\pi$
$422$	−18.4046	+	9.90496i	−0.895921	+	0.482166i
$423$	2.29369	+	1.32426i	0.111523	+	0.0643879i
$424$	−24.9822	−	17.5808i	−1.21324	−	0.853799i
$425$	6.38949	−	1.08573i	0.309936	−	0.0526657i
$426$	−3.28864	−	0.0982808i	−0.159335	−	0.00476172i
$427$	13.7377	+	20.9791i	0.664815	+	1.01525i
$428$	0.407600	−	6.81341i	0.0197021	−	0.329338i
$429$	17.1449	−	9.89863i	0.827765	−	0.477910i
$430$	−14.0944	+	0.765832i	−0.679693	+	0.0369317i
$431$	3.74772	+	2.16375i	0.180521	+	0.104224i	0.587538	−	0.809197i	$-0.300097\pi$
$431$	3.74772	+	2.16375i	0.180521	+	0.104224i	−0.407016	+	0.913421i	$0.633431\pi$
$432$	8.54558	+	19.9837i	0.411149	+	0.961464i
$433$	−4.33970			−0.208552			−0.104276	−	0.994548i	$-0.533253\pi$
$433$	−4.33970			−0.208552			−0.104276	+	0.994548i	$0.533253\pi$
$434$	−0.447933	−	17.0354i	−0.0215015	−	0.817726i
$435$	−29.5942	+	20.5853i	−1.41894	+	0.986991i
$436$	15.9813	−	7.99461i	0.765363	−	0.382872i
$437$	1.05366	+	0.608331i	0.0504034	+	0.0291004i
$438$	−7.28053	−	4.49861i	−0.347877	−	0.214952i
$439$	4.07497	+	7.05805i	0.194488	+	0.336862i	0.946732	−	0.322021i	$-0.104362\pi$
$439$	4.07497	+	7.05805i	0.194488	+	0.336862i	−0.752245	+	0.658884i	$0.771029\pi$
$440$	−24.1074	+	13.7432i	−1.14928	+	0.655180i
$441$	1.32017	+	1.78828i	0.0628651	+	0.0851563i
$442$	5.04788	+	0.150856i	0.240103	+	0.00717547i
$443$	−13.7175	+	7.91978i	−0.651737	+	0.376280i	−0.789121	−	0.614237i	$-0.789464\pi$
$443$	−13.7175	+	7.91978i	−0.651737	+	0.376280i	0.137385	+	0.990518i	$0.456130\pi$
$444$	14.2477	−	21.5885i	0.676168	−	1.02455i
$445$	0.685321	+	8.12399i	0.0324873	+	0.385114i
$446$	−4.69318	−	8.72047i	−0.222228	−	0.412926i
$447$			20.0318i			0.947473i
$448$	21.0059	+	2.59879i	0.992434	+	0.122781i
$449$	35.2873			1.66531			0.832656	−	0.553790i	$-0.186819\pi$
$449$	35.2873			1.66531			0.832656	+	0.553790i	$0.186819\pi$
$450$	0.309857	+	2.22387i	0.0146068	+	0.104834i
$451$	−15.0122	−	8.66730i	−0.706897	−	0.408127i
$452$	15.5411	+	10.2566i	0.730992	+	0.482431i
$453$	8.79617	−	5.07847i	0.413280	−	0.238607i
$454$	−0.866944	+	29.0094i	−0.0406877	+	1.36148i
$455$	−15.1159	−	6.09497i	−0.708643	−	0.285736i
$456$	20.5920	+	1.85058i	0.964310	+	0.0866614i
$457$	8.94810	−	5.16619i	0.418574	−	0.241664i	−0.275893	−	0.961188i	$-0.588973\pi$
$457$	8.94810	−	5.16619i	0.418574	−	0.241664i	0.694467	+	0.719524i	$0.255640\pi$
$458$	−30.0577	−	18.5726i	−1.40450	−	0.867838i
$459$	3.52152	−	6.09945i	0.164370	−	0.284698i
$460$	−0.583618	+	1.07036i	−0.0272113	+	0.0499058i
$461$	−17.9765			−0.837247			−0.418624	−	0.908160i	$-0.637487\pi$
$461$	−17.9765			−0.837247			−0.418624	+	0.908160i	$0.637487\pi$
$462$	−23.6310	−	12.8273i	−1.09941	−	0.596779i
$463$	10.7604			0.500076			0.250038	−	0.968236i	$-0.419557\pi$
$463$	10.7604			0.500076			0.250038	+	0.968236i	$0.419557\pi$
$464$	36.2027	−	15.4813i	1.68067	−	0.718702i
$465$	16.6207	−	1.40209i	0.770768	−	0.0650203i
$466$	3.09970	−	5.01653i	0.143591	−	0.232386i
$467$	−6.90606	−	11.9616i	−0.319574	−	0.553519i	0.660825	−	0.750540i	$-0.270207\pi$
$467$	−6.90606	−	11.9616i	−0.319574	−	0.553519i	−0.980399	+	0.197021i	$0.936873\pi$
$468$	−0.104481	+	1.74649i	−0.00482962	+	0.0807314i
$469$	−22.7135	−	11.4645i	−1.04881	−	0.529380i
$470$	14.4078	+	22.0929i	0.664580	+	1.01907i
$471$	13.8399	−	7.99046i	0.637708	−	0.368181i
$472$	−6.23435	+	8.85897i	−0.286959	+	0.407767i
$473$	−16.9608	−	9.79230i	−0.779856	−	0.450250i
$474$	15.6201	+	29.0240i	0.717456	+	1.33312i
$475$	20.9218	+	7.76251i	0.959956	+	0.356168i
$476$	−3.40813	−	5.95227i	−0.156211	−	0.272822i
$477$	−3.42958			−0.157030
$478$	17.7849	+	33.0465i	0.813464	+	1.51151i
$479$	−13.2230	+	22.9030i	−0.604176	+	1.04646i	0.388005	+	0.921657i	$0.373164\pi$
$479$	−13.2230	+	22.9030i	−0.604176	+	1.04646i	−0.992181	+	0.124807i	$0.960169\pi$
$480$	−1.35024	+	20.6729i	−0.0616296	+	0.943586i
$481$	18.8399	−	10.8772i	0.859025	−	0.495959i
$482$	−42.7531	−	1.27767i	−1.94735	−	0.0581964i
$483$	−1.17941	+	0.0663104i	−0.0536651	+	0.00301723i
$484$	−16.4727	−	0.985449i	−0.748758	−	0.0447931i
$485$	−0.0189521	+	0.0403154i	−0.000860572	+	0.00183063i
$486$	3.95283	+	2.44244i	0.179304	+	0.110791i
$487$	4.61070	−	7.98597i	0.208931	−	0.361879i	−0.742447	−	0.669905i	$-0.766335\pi$
$487$	4.61070	−	7.98597i	0.208931	−	0.361879i	0.951378	+	0.308026i	$0.0996683\pi$
$488$	24.3232	−	11.2722i	1.10106	−	0.510270i
$489$		−	21.9409i		−	0.992204i
$490$	3.67105	+	21.8294i	0.165841	+	0.986152i
$491$	−5.89733			−0.266143			−0.133071	−	0.991106i	$-0.542484\pi$
$491$	−5.89733			−0.266143			−0.133071	+	0.991106i	$0.542484\pi$
$492$	−11.5740	+	5.78990i	−0.521798	+	0.261029i
$493$	−11.0499	−	6.37964i	−0.497661	−	0.287325i
$494$	14.7924	+	9.14017i	0.665541	+	0.411236i
$495$	−1.32539	+	2.81940i	−0.0595719	+	0.126722i
$496$	−18.0880	−	2.17194i	−0.812174	−	0.0975228i
$497$	0.210964	+	3.75226i	0.00946304	+	0.168312i
$498$	0.888075	−	29.7165i	0.0397956	−	1.33163i
$499$	−5.74782	−	9.95552i	−0.257308	−	0.445670i	0.708212	−	0.706000i	$-0.249502\pi$
$499$	−5.74782	−	9.95552i	−0.257308	−	0.445670i	−0.965520	+	0.260330i	$0.916169\pi$
$500$	−7.26434	+	21.1478i	−0.324871	+	0.945758i
$501$	−1.34752	−	0.777990i	−0.0602027	−	0.0347580i
$502$	−14.3476	−	26.6594i	−0.640363	−	1.18987i
$503$			34.0508i			1.51825i	0.650944	+	0.759125i	$0.274373\pi$
$503$			34.0508i			1.51825i	−0.650944	+	0.759125i	$0.725627\pi$
$504$	2.09650	−	1.11861i	0.0933856	−	0.0498270i
$505$	−8.38673	−	12.0571i	−0.373205	−	0.536533i
$506$	−1.48951	+	0.801625i	−0.0662169	+	0.0356366i
$507$	−4.43059	+	7.67400i	−0.196769	+	0.340815i
$508$	3.18341	−	4.82359i	0.141241	−	0.214012i
$509$	3.48710	+	6.03983i	0.154563	+	0.267711i	0.932900	−	0.360136i	$-0.117270\pi$
$509$	3.48710	+	6.03983i	0.154563	+	0.267711i	−0.778337	+	0.627847i	$0.783936\pi$
$510$	5.62331	−	3.66721i	0.249004	−	0.162387i
$511$	−4.40495	+	8.72713i	−0.194864	+	0.386065i
$512$	6.01111	−	21.8144i	0.265656	−	0.964068i
$513$	21.0014	−	12.1252i	0.927234	−	0.535339i
$514$	−11.8030	−	7.29305i	−0.520609	−	0.321682i
$515$	−2.01486	−	23.8847i	−0.0887854	−	1.05249i
$516$	−13.0763	+	6.54141i	−0.575653	+	0.287970i
$517$			36.5958i			1.60948i
$518$	−25.9672	−	14.0954i	−1.14093	−	0.619316i
$519$		−	11.6982i		−	0.513494i
$520$	−8.79427	+	15.0415i	−0.385654	+	0.659614i
$521$	11.7331	+	6.77412i	0.514037	+	0.296780i	0.734492	−	0.678618i	$-0.237421\pi$
$521$	11.7331	+	6.77412i	0.514037	+	0.296780i	−0.220454	+	0.975397i	$0.570754\pi$
$522$	2.32358	−	3.76047i	0.101700	−	0.164591i
$523$	19.7080	+	34.1352i	0.861769	+	1.49263i	0.870220	+	0.492663i	$0.163976\pi$
$523$	19.7080	+	34.1352i	0.861769	+	1.49263i	−0.00845156	+	0.999964i	$0.502690\pi$
$524$	−0.0263821	+	0.441002i	−0.00115251	+	0.0192652i
$525$	−21.1227	+	4.82294i	−0.921871	+	0.210490i
$526$	0.525151	−	17.5724i	0.0228977	−	0.766195i
$527$	2.95179	+	5.11266i	0.128582	+	0.222711i
$528$	−17.2375	+	23.0024i	−0.750166	+	1.00105i
$529$	11.4628	−	19.8542i	0.498384	−	0.863227i
$530$	−30.4612	−	15.4470i	−1.32315	−	0.670977i
$531$			1.21617i			0.0527773i
$532$	0.0847321	−	23.6162i	0.00367360	−	1.02389i
$533$	−10.8842			−0.471448
$534$	4.00220	+	7.43655i	0.173192	+	0.321811i
$535$	−0.641475	−	7.60423i	−0.0277334	−	0.328760i
$536$	−15.6536	+	22.2436i	−0.676131	+	0.960778i
$537$	−2.57809	−	4.46538i	−0.111253	−	0.192695i
$538$	−0.294294	+	9.84756i	−0.0126879	+	0.424559i
$539$	−12.2784	+	28.1522i	−0.528866	+	1.21260i
$540$	12.6597	+	20.7412i	0.544787	+	0.892561i
$541$	31.6007	−	18.2447i	1.35862	−	0.784399i	0.369181	−	0.929358i	$-0.379638\pi$
$541$	31.6007	−	18.2447i	1.35862	−	0.784399i	0.989438	+	0.144959i	$0.0463049\pi$
$542$	−32.2402	−	19.9211i	−1.38483	−	0.855684i
$543$	13.4773	−	23.3433i	0.578365	−	1.00176i
$544$	−6.82505	+	2.68036i	−0.292621	+	0.114920i
$545$	16.4010	−	11.4083i	0.702542	−	0.488678i
$546$	−16.8769	+	0.443764i	−0.722263	+	0.0189913i
$547$		−	2.03370i		−	0.0869549i	−0.999054	−	0.0434775i	$-0.986156\pi$
$547$		−	2.03370i		−	0.0869549i	0.999054	−	0.0434775i	$-0.0138437\pi$
$548$	3.75286	−	1.87737i	0.160314	−	0.0801971i
$549$	1.50485	−	2.60648i	0.0642255	−	0.111242i
$550$	−24.4707	+	19.0719i	−1.04343	+	0.813230i
$551$	−21.9661	−	38.0464i	−0.935788	−	1.62083i
$552$	−0.113034	+	1.25777i	−0.00481105	+	0.0535341i
$553$	31.4972	−	20.6253i	1.33940	−	0.877078i
$554$	0.725852	−	24.2882i	0.0308385	−	1.03191i
$555$	12.3032	−	26.1717i	0.522244	−	1.11093i
$556$	−26.8410	−	17.7142i	−1.13831	−	0.751249i
$557$	12.2222	−	21.1695i	0.517871	−	0.896980i	−0.481913	−	0.876219i	$-0.660058\pi$
$557$	12.2222	−	21.1695i	0.517871	−	0.896980i	0.999784	−	0.0207606i	$-0.00660877\pi$
$558$	−1.80103	+	0.969276i	−0.0762435	+	0.0410327i
$559$	−12.2970			−0.520107
$560$	23.6592	−	0.492621i	0.999783	−	0.0208171i
$561$	9.31475			0.393269
$562$	30.2855	−	16.2990i	1.27752	−	0.687533i
$563$	14.5272	−	25.1619i	0.612250	−	1.06045i	−0.378610	−	0.925556i	$-0.623598\pi$
$563$	14.5272	−	25.1619i	0.612250	−	1.06045i	0.990860	−	0.134892i	$-0.0430689\pi$
$564$	22.8029	+	15.0492i	0.960177	+	0.633686i
$565$	18.8404	+	8.85683i	0.792623	+	0.372610i
$566$	0.478788	−	16.0211i	0.0201250	−	0.673416i
$567$	−9.47362	+	18.7692i	−0.397855	+	0.788233i
$568$	4.00154	+	0.359614i	0.167901	+	0.0150891i
$569$	−11.1856	−	19.3740i	−0.468923	−	0.812199i	0.530446	−	0.847719i	$-0.322025\pi$
$569$	−11.1856	−	19.3740i	−0.468923	−	0.812199i	−0.999369	+	0.0355198i	$0.988691\pi$
$570$	23.0813	−	1.25414i	0.966770	−	0.0525302i
$571$	−21.2867	+	36.8696i	−0.890820	+	1.54295i	−0.0519252	+	0.998651i	$0.516536\pi$
$571$	−21.2867	+	36.8696i	−0.890820	+	1.54295i	−0.838895	+	0.544294i	$0.816798\pi$
$572$	−21.6207	+	10.8157i	−0.904008	+	0.452229i
$573$		−	26.3022i		−	1.09879i
$574$	7.72524	+	12.6034i	0.322445	+	0.526055i
$575$	−0.474136	+	1.27791i	−0.0197728	+	0.0532924i
$576$	−0.857560	−	2.39121i	−0.0357317	−	0.0996336i
$577$	16.2853	−	28.2069i	0.677965	−	1.17427i	−0.297628	−	0.954682i	$-0.596195\pi$
$577$	16.2853	−	28.2069i	0.677965	−	1.17427i	0.975593	−	0.219588i	$-0.0704713\pi$
$578$	−18.4309	−	11.3884i	−0.766625	−	0.473695i
$579$	−23.3615	+	13.4878i	−0.970873	+	0.560534i
$580$	37.5752	−	22.9345i	1.56022	−	0.952304i
$581$	−33.9058	+	1.90629i	−1.40665	+	0.0790864i
$582$	−0.00137842	+	0.0461243i	−5.71374e−5	+	0.00191191i
$583$	−23.6940	−	41.0392i	−0.981305	−	1.69967i
$584$	8.54659	+	6.01452i	0.353660	+	0.248883i
$585$	0.164430	+	1.94920i	0.00679835	+	0.0805895i
$586$	9.09117	+	16.8924i	0.375553	+	0.697820i
$587$	21.4007			0.883301			0.441650	−	0.897187i	$-0.354393\pi$
$587$	21.4007			0.883301			0.441650	+	0.897187i	$0.354393\pi$
$588$	12.4925	+	19.2276i	0.515180	+	0.792933i
$589$			20.3270i			0.837559i
$590$	−5.47770	+	10.8019i	−0.225513	+	0.444706i
$591$	3.82535	−	6.62569i	0.157354	−	0.272545i
$592$	−18.9416	+	25.2765i	−0.778496	+	1.03886i
$593$	−3.83778	−	6.64723i	−0.157599	−	0.272969i	0.776403	−	0.630236i	$-0.217042\pi$
$593$	−3.83778	−	6.64723i	−0.157599	−	0.272969i	−0.934002	+	0.357267i	$0.883709\pi$
$594$	−1.00712	+	33.7001i	−0.0413228	+	1.38273i
$595$	−4.72542	−	6.03958i	−0.193723	−	0.247599i
$596$	1.46076	−	24.4179i	0.0598350	−	1.00020i
$597$	9.55079	+	16.5425i	0.390888	+	0.677038i
$598$	−0.558284	+	0.903523i	−0.0228299	+	0.0369478i
$599$	26.5598	+	15.3343i	1.08520	+	0.626543i	0.932296	−	0.361697i	$-0.117803\pi$
$599$	26.5598	+	15.3343i	1.08520	+	0.626543i	0.152909	+	0.988240i	$0.451136\pi$
$600$	1.82073	+	23.0906i	0.0743311	+	0.942671i
$601$		−	4.23258i		−	0.172650i	−0.996267	−	0.0863252i	$-0.972488\pi$
$601$		−	4.23258i		−	0.172650i	0.996267	−	0.0863252i	$-0.0275124\pi$
$602$	8.72797	+	14.2393i	0.355725	+	0.580350i
$603$			3.05363i			0.124353i
$604$	−11.0925	+	5.54900i	−0.451346	+	0.225785i
$605$	−18.3846	+	1.55089i	−0.747442	+	0.0630525i
$606$	−12.9423	−	7.99698i	−0.525743	−	0.324855i
$607$	0.700185	−	0.404252i	0.0284196	−	0.0164081i	−0.485723	−	0.874113i	$-0.661444\pi$
$607$	0.700185	−	0.404252i	0.0284196	−	0.0164081i	0.514142	+	0.857705i	$0.328110\pi$
$608$	−24.9658	−	3.75738i	−1.01250	−	0.152382i
$609$	38.0788	+	19.2200i	1.54303	+	0.778834i
$610$	25.1056	−	16.3725i	1.01650	−	0.662903i
$611$	11.4891	+	19.8997i	0.464799	+	0.805055i
$612$	−0.453440	+	0.687064i	−0.0183292	+	0.0277729i
$613$	15.9214	−	27.5766i	0.643058	−	1.11381i	−0.341689	−	0.939813i	$-0.610999\pi$
$613$	15.9214	−	27.5766i	0.643058	−	1.11381i	0.984746	−	0.173995i	$-0.0556678\pi$
$614$	25.1022	−	13.5095i	1.01304	−	0.545198i
$615$	−11.8780	+	8.26219i	−0.478968	+	0.333164i
$616$	27.8697	+	17.3591i	1.12290	+	0.699417i
$617$		−	23.7720i		−	0.957025i	−0.878081	−	0.478513i	$-0.841176\pi$
$617$		−	23.7720i		−	0.957025i	0.878081	−	0.478513i	$-0.158824\pi$
$618$	−11.7666	−	21.8637i	−0.473321	−	0.879485i
$619$	−12.8725	−	7.43195i	−0.517390	−	0.298715i	0.218476	−	0.975842i	$-0.429891\pi$
$619$	−12.8725	−	7.43195i	−0.517390	−	0.298715i	−0.735866	+	0.677127i	$0.763225\pi$
$620$	−20.3622	+	0.497067i	−0.817765	+	0.0199627i
$621$	0.740608	+	1.28277i	0.0297196	+	0.0514758i
$622$	0.562371	−	18.8179i	0.0225490	−	0.754529i
$623$	8.07025	−	5.28464i	0.323328	−	0.211725i
$624$	−2.15172	+	17.9196i	−0.0861378	+	0.717359i
$625$	−4.64694	+	24.5643i	−0.185878	+	0.982573i
$626$	32.2180	+	19.9074i	1.28769	+	0.795658i
$627$	27.7753	+	16.0361i	1.10924	+	0.640419i
$628$	−17.4529	+	8.73079i	−0.696446	+	0.348396i
$629$	10.2356			0.408121
$630$	2.14037	−	1.57388i	0.0852744	−	0.0627047i
$631$			13.4670i			0.536112i	0.963403	+	0.268056i	$0.0863812\pi$
$631$			13.4670i			0.536112i	−0.963403	+	0.268056i	$0.913619\pi$
$632$	−16.9237	−	36.5180i	−0.673190	−	1.45261i
$633$	−12.1027	+	20.9624i	−0.481038	+	0.833182i
$634$	−37.0365	−	22.8847i	−1.47091	−	0.908867i
$635$	2.74895	−	5.84762i	0.109089	−	0.232056i
$636$	−35.3152	−	2.11267i	−1.40034	−	0.0837729i
$637$	2.16165	+	19.1630i	0.0856476	+	0.759266i
$638$	61.0517	+	1.82452i	2.41706	+	0.0722336i
$639$	0.390625	−	0.225527i	0.0154529	−	0.00892172i
$640$	3.15339	−	25.1009i	0.124649	−	0.992201i
$641$	17.8399	−	30.8996i	0.704634	−	1.22046i	−0.262189	−	0.965016i	$-0.584445\pi$
$641$	17.8399	−	30.8996i	0.704634	−	1.22046i	0.966823	−	0.255445i	$-0.0822221\pi$
$642$	−3.74615	−	6.96078i	−0.147849	−	0.274720i
$643$	−18.9130			−0.745857			−0.372929	−	0.927860i	$-0.621646\pi$
$643$	−18.9130			−0.745857			−0.372929	+	0.927860i	$0.621646\pi$
$644$	1.44249	+	0.00517546i	0.0568419	+	0.000203942i
$645$	−13.4198	+	9.33461i	−0.528403	+	0.367550i
$646$	3.87722	+	7.20432i	0.152547	+	0.283450i
$647$	20.2631	+	11.6989i	0.796625	+	0.459932i	0.842290	−	0.539025i	$-0.181207\pi$
$647$	20.2631	+	11.6989i	0.796625	+	0.459932i	−0.0456648	+	0.998957i	$0.514541\pi$
$648$	18.3809	+	12.9353i	0.722072	+	0.508146i
$649$	−14.5530	+	8.40217i	−0.571254	+	0.329814i
$650$	−7.31886	+	18.0532i	−0.287069	+	0.708104i
$651$	−10.8118	−	16.5108i	−0.423746	−	0.647109i
$652$	−1.59997	+	26.7450i	−0.0626598	+	1.04742i
$653$	14.7067	+	25.4728i	0.575519	+	0.996829i	0.995985	+	0.0895203i	$0.0285334\pi$
$653$	14.7067	+	25.4728i	0.575519	+	0.996829i	−0.420466	+	0.907308i	$0.638133\pi$
$654$	10.8781	−	17.6051i	0.425369	−	0.688414i
$655$	0.0415199	+	0.492188i	0.00162232	+	0.0192314i
$656$	14.5304	−	6.21362i	0.567318	−	0.242601i
$657$	1.17329			0.0457742
$658$	14.8883	−	27.4279i	0.580406	−	1.06925i
$659$	33.7483			1.31465			0.657323	−	0.753609i	$-0.271689\pi$
$659$	33.7483			1.31465			0.657323	+	0.753609i	$0.271689\pi$
$660$	−15.3846	+	28.2155i	−0.598846	+	1.09829i
$661$	21.6521	−	37.5025i	0.842168	−	1.45868i	−0.0458899	−	0.998947i	$-0.514612\pi$
$661$	21.6521	−	37.5025i	0.842168	−	1.45868i	0.888058	−	0.459731i	$-0.152054\pi$
$662$	5.54050	+	3.42345i	0.215338	+	0.133056i
$663$	5.06507	−	2.92432i	0.196711	−	0.113571i
$664$	−3.24950	+	36.1583i	−0.126105	+	1.40321i
$665$	−3.69292	−	26.1444i	−0.143205	−	1.01384i
$666$	−0.105928	+	3.54453i	−0.00410462	+	0.137348i
$667$	2.32389	−	1.34170i	0.0899813	−	0.0519507i
$668$	1.58583	+	1.04660i	0.0613577	+	0.0404941i
$669$	−9.93244	−	5.73450i	−0.384010	−	0.221708i
$670$	−13.7537	+	27.1220i	−0.531353	+	1.04781i
$671$	41.5863			1.60542
$672$	22.2773	−	10.2271i	0.859364	−	0.394521i
$673$		−	8.11472i		−	0.312799i	−0.987694	−	0.156400i	$-0.950011\pi$
$673$		−	8.11472i		−	0.312799i	0.987694	−	0.156400i	$-0.0499888\pi$
$674$	−8.24154	−	15.3137i	−0.317452	−	0.589863i
$675$	17.3334	+	20.9198i	0.667161	+	0.805204i
$676$	5.96029	−	9.03118i	0.229242	−	0.347353i
$677$	−37.9364	+	21.9026i	−1.45802	+	0.841786i	−0.998914	−	0.0465975i	$-0.985162\pi$
$677$	−37.9364	+	21.9026i	−1.45802	+	0.841786i	−0.459102	+	0.888383i	$0.651829\pi$
$678$	21.5551	+	0.644172i	0.827818	+	0.0247393i
$679$	0.0526267	−	0.00295884i	0.00201963	−	0.000113550i
$680$	−7.12198	+	4.06010i	−0.273115	+	0.155698i
$681$	16.8056	+	29.1082i	0.643992	+	1.11543i
$682$	−24.0414	−	14.8551i	−0.920591	−	0.568830i
$683$	20.0699	+	11.5874i	0.767954	+	0.443378i	0.832144	−	0.554559i	$-0.187113\pi$
$683$	20.0699	+	11.5874i	0.767954	+	0.443378i	−0.0641905	+	0.997938i	$0.520447\pi$
$684$	−2.53493	+	1.26810i	−0.0969255	+	0.0484869i
$685$	3.85144	−	2.67900i	0.147156	−	0.102359i
$686$	20.6555	−	16.1043i	0.788632	−	0.614865i
$687$	−40.9194			−1.56117
$688$	16.4165	−	7.02014i	0.625872	−	0.267640i
$689$	−25.7681	−	14.8772i	−0.981687	−	0.566777i
$690$	0.0766034	+	1.40981i	0.00291624	+	0.0536707i
$691$	25.5204	−	14.7342i	0.970842	−	0.560516i	0.0713493	−	0.997451i	$-0.477269\pi$
$691$	25.5204	−	14.7342i	0.970842	−	0.560516i	0.899493	+	0.436935i	$0.143936\pi$
$692$	−0.853054	+	14.2596i	−0.0324282	+	0.542067i
$693$	3.68037	−	0.206922i	0.139806	−	0.00786033i
$694$	11.3239	+	0.338412i	0.429847	+	0.0128460i
$695$	−32.5393	−	15.2966i	−1.23428	−	0.580233i
$696$	26.2430	−	37.2911i	0.994737	−	1.41352i
$697$	−4.43501	−	2.56055i	−0.167988	−	0.0969878i
$698$	19.0850	−	10.2711i	0.722377	−	0.388769i
$699$		−	6.82932i		−	0.258308i
$700$	26.0994	−	4.33864i	0.986463	−	0.163985i
$701$		−	13.3928i		−	0.505839i	−0.967487	−	0.252919i	$-0.918609\pi$
$701$		−	13.3928i		−	0.505839i	0.967487	−	0.252919i	$-0.0813907\pi$
$702$	10.0323	+	18.6413i	0.378646	+	0.703569i
$703$	30.5212	+	17.6214i	1.15113	+	0.664605i
$704$	22.6891	−	26.7819i	0.855129	−	1.00938i
$705$	27.6439	+	12.9953i	1.04113	+	0.489432i
$706$	1.24292	−	41.5901i	0.0467778	−	1.56526i
$707$	−7.83048	+	15.5138i	−0.294496	+	0.583457i
$708$	−0.749177	+	12.5232i	−0.0281558	+	0.470650i
$709$	−24.6438	+	14.2281i	−0.925519	+	0.534349i	−0.885392	−	0.464846i	$-0.846110\pi$
$709$	−24.6438	+	14.2281i	−0.925519	+	0.534349i	−0.0401274	+	0.999195i	$0.512776\pi$
$710$	4.48527	−	0.243711i	0.168329	−	0.00914631i
$711$	−3.91327	−	2.25933i	−0.146759	−	0.0847315i
$712$	−4.33622	−	9.35667i	−0.162507	−	0.350656i
$713$	−1.24158			−0.0464975
$714$	−6.98123	−	3.78952i	−0.261266	−	0.141819i
$715$	−22.1886	+	15.4341i	−0.829807	+	0.577202i
$716$	2.81695	+	5.63110i	0.105274	+	0.210444i
$717$	37.6393	+	21.7310i	1.40566	+	0.811561i
$718$	2.65079	−	4.29002i	0.0989264	−	0.160102i
$719$	−9.06118	−	15.6944i	−0.337925	−	0.585303i	0.646117	−	0.763238i	$-0.276392\pi$
$719$	−9.06118	−	15.6944i	−0.337925	−	0.585303i	−0.984042	+	0.177935i	$0.943058\pi$
$720$	−1.33228	−	2.50831i	−0.0496512	−	0.0934792i
$721$	−23.7267	+	15.5370i	−0.883630	+	0.578627i
$722$	−0.0388252	+	1.29916i	−0.00144492	+	0.0483496i
$723$	−42.8987	+	24.7675i	−1.59542	+	0.921115i
$724$	−18.1304	+	27.4717i	−0.673812	+	1.02098i
$725$	37.8987	−	31.4014i	1.40752	−	1.16622i
$726$	−16.8290	+	9.05701i	−0.624582	+	0.336137i
$727$			29.8811i			1.10823i	0.832441	+	0.554114i	$0.186943\pi$
$727$			29.8811i			1.10823i	−0.832441	+	0.554114i	$0.813057\pi$
$728$	20.6045	+	0.689764i	0.763653	+	0.0255643i
$729$	29.2209			1.08225
$730$	10.4210	+	5.28454i	0.385698	+	0.195590i
$731$	−5.01066	−	2.89291i	−0.185326	−	0.106998i
$732$	17.1014	−	25.9125i	0.632087	−	0.957754i
$733$	15.0078	−	8.66474i	0.554325	−	0.320040i	−0.196540	−	0.980496i	$-0.562970\pi$
$733$	15.0078	−	8.66474i	0.554325	−	0.320040i	0.750864	+	0.660456i	$0.229637\pi$
$734$	−13.3071	−	0.397681i	−0.491173	−	0.0146787i
$735$	16.9056	+	19.2718i	0.623573	+	0.710852i
$736$	0.229502	−	1.52492i	0.00845956	−	0.0562093i
$737$	−36.5405	+	21.0966i	−1.34599	+	0.777105i
$738$	0.932600	−	1.50931i	0.0343295	−	0.0555586i
$739$	2.12219	−	3.67574i	0.0780659	−	0.135214i	−0.824350	−	0.566081i	$-0.808459\pi$
$739$	2.12219	−	3.67574i	0.0780659	−	0.135214i	0.902415	+	0.430867i	$0.141792\pi$
$740$	−16.9056	+	31.0050i	−0.621462	+	1.13977i
$741$	20.1378			0.739780
$742$	1.06222	+	40.3976i	0.0389954	+	1.48304i
$743$	−30.6848			−1.12571			−0.562857	−	0.826554i	$-0.690298\pi$
$743$	−30.6848			−1.12571			−0.562857	+	0.826554i	$0.690298\pi$
$744$	−19.1427	+	8.87140i	−0.701805	+	0.325241i
$745$	−2.29892	−	27.2521i	−0.0842259	−	0.998438i
$746$	7.11867	+	4.39860i	0.260633	+	0.161044i
$747$	2.03789	+	3.52972i	0.0745624	+	0.129146i
$748$	−11.3543	−	0.679249i	−0.415153	−	0.0248358i
$749$	−7.55393	+	4.94654i	−0.276015	+	0.180743i
$750$	5.71700	+	25.2573i	0.208755	+	0.922266i
$751$	−14.4254	+	8.32852i	−0.526391	+	0.303912i	−0.739546	−	0.673107i	$-0.764960\pi$
$751$	−14.4254	+	8.32852i	−0.526391	+	0.303912i	0.213155	+	0.977018i	$0.431626\pi$
$752$	−26.6983	−	20.0071i	−0.973588	−	0.729585i
$753$	−30.3645	−	17.5310i	−1.10655	−	0.638864i
$754$	33.7708	−	18.1748i	1.22986	−	0.661886i
$755$	−11.3838	+	7.91842i	−0.414300	+	0.288181i
$756$	14.4650	−	24.8479i	0.526088	−	0.903708i
$757$	−19.7599			−0.718184			−0.359092	−	0.933302i	$-0.616914\pi$
$757$	−19.7599			−0.718184			−0.359092	+	0.933302i	$0.616914\pi$
$758$	−12.5677	+	6.76368i	−0.456480	+	0.245668i
$759$	−0.979488	+	1.69652i	−0.0355532	+	0.0615799i
$760$	−28.2266	−	0.154390i	−1.02388	−	0.00560030i
$761$	−8.58074	+	4.95409i	−0.311052	+	0.179586i	−0.647397	−	0.762153i	$-0.724142\pi$
$761$	−8.58074	+	4.95409i	−0.311052	+	0.179586i	0.336345	+	0.941739i	$0.390809\pi$
$762$	0.199936	−	6.69018i	0.00724290	−	0.242360i
$763$	−21.1031	−	10.6517i	−0.763985	−	0.385616i
$764$	−1.91801	+	32.0612i	−0.0693911	+	1.15993i
$765$	−0.391556	+	0.832925i	−0.0141567	+	0.0301145i
$766$	15.7735	−	25.5278i	0.569920	−	0.922355i
$767$	−5.27564	+	9.13767i	−0.190492	+	0.329942i
$768$	−7.35748	−	25.1511i	−0.265490	−	0.907562i
$769$			32.4947i			1.17179i	0.810387	+	0.585895i	$0.199257\pi$
$769$			32.4947i			1.17179i	−0.810387	+	0.585895i	$0.800743\pi$
$770$	33.6206	+	14.7387i	1.21160	+	0.531147i
$771$	−16.0682			−0.578681
$772$	29.4602	−	14.7374i	1.06030	−	0.530412i
$773$	15.9884	+	9.23089i	0.575062	+	0.332012i	0.759168	−	0.650894i	$-0.225606\pi$
$773$	15.9884	+	9.23089i	0.575062	+	0.332012i	−0.184107	+	0.982906i	$0.558939\pi$
$774$	1.05365	−	1.70522i	0.0378726	−	0.0612929i
$775$	−22.4506	+	3.81491i	−0.806449	+	0.137035i
$776$	0.00504370	−	0.0561229i	0.000181058	−	0.00201470i
$777$	−34.1639	+	1.92081i	−1.22562	+	0.0689085i
$778$	−27.9114	−	0.834130i	−1.00067	−	0.0299050i
$779$	−8.81639	−	15.2704i	−0.315880	−	0.547120i
$780$	0.492440	+	20.1727i	0.0176322	+	0.722297i
$781$	5.39743	+	3.11621i	0.193135	+	0.111507i
$782$	−0.440042	+	0.236821i	−0.0157359	+	0.00846872i
$783$		−	53.4850i		−	1.91140i
$784$	−13.8256	−	24.3485i	−0.493773	−	0.869591i
$785$	−17.9113	+	12.4588i	−0.639282	+	0.444675i
$786$	0.242472	+	0.450540i	0.00864868	+	0.0160702i
$787$	−1.45087	+	2.51298i	−0.0517179	+	0.0895780i	−0.890725	−	0.454542i	$-0.849803\pi$
$787$	−1.45087	+	2.51298i	−0.0517179	+	0.0895780i	0.839007	+	0.544120i	$0.183136\pi$
$788$	−5.14608	+	7.79747i	−0.183322	+	0.277773i
$789$	−10.1800	−	17.6323i	−0.362417	−	0.627725i
$790$	−24.5811	−	37.6927i	−0.874556	−	1.34105i
$791$	−1.38274	−	24.5938i	−0.0491647	−	0.874455i
$792$	0.352724	−	3.92487i	0.0125335	−	0.139464i
$793$	22.6134	−	13.0558i	0.803024	−	0.463626i
$794$	−6.49610	+	10.5132i	−0.230538	+	0.373101i
$795$	−39.4142	+	3.32489i	−1.39788	+	0.117922i
$796$	−10.4357	−	20.8610i	−0.369883	−	0.739398i
$797$		−	20.9944i		−	0.743659i	−0.928301	−	0.371829i	$-0.878731\pi$
$797$		−	20.9944i		−	0.743659i	0.928301	−	0.371829i	$-0.121269\pi$
$798$	−14.2931	−	23.3186i	−0.505971	−	0.825468i
$799$			10.8114i			0.382480i
$800$	−0.535582	−	28.2792i	−0.0189357	−	0.999821i
$801$	−1.00266	−	0.578887i	−0.0354273	−	0.0204540i
$802$	30.5955	+	18.9049i	1.08037	+	0.667554i
$803$	8.10589	+	14.0398i	0.286051	+	0.495454i
$804$	−1.88108	+	31.4439i	−0.0663405	+	1.10894i
$805$	1.59691	−	0.225565i	0.0562836	−	0.00795011i
$806$	−17.7366	−	0.530057i	−0.624746	−	0.0186705i
$807$	5.70485	+	9.88109i	0.200820	+	0.347831i
$808$	15.1929	+	10.6917i	0.534484	+	0.376134i
$809$	−20.2328	+	35.0443i	−0.711349	+	1.23209i	0.253002	+	0.967466i	$0.418582\pi$
$809$	−20.2328	+	35.0443i	−0.711349	+	1.23209i	−0.964351	+	0.264627i	$0.914751\pi$
$810$	22.4122	+	11.3653i	0.787483	+	0.399337i
$811$		−	25.9549i		−	0.911401i	−0.890133	−	0.455701i	$-0.849389\pi$
$811$		−	25.9549i		−	0.911401i	0.890133	−	0.455701i	$-0.150611\pi$
$812$	−45.0148	−	26.2051i	−1.57971	−	0.919619i
$813$	−43.8906			−1.53931
$814$	−43.1465	+	23.2206i	−1.51228	+	0.813880i
$815$	2.51802	+	29.8493i	0.0882023	+	1.04558i
$816$	−5.09242	+	6.79553i	−0.178270	+	0.237891i
$817$	−9.96074	−	17.2525i	−0.348482	−	0.603589i
$818$	17.0976	+	0.510960i	0.597803	+	0.0178653i
$819$	1.93631	−	1.26795i	0.0676600	−	0.0443058i
$820$	15.0813	−	9.20507i	0.526661	−	0.321455i
$821$	−8.14642	+	4.70334i	−0.284312	+	0.164148i	−0.635374	−	0.772205i	$-0.719154\pi$
$821$	−8.14642	+	4.70334i	−0.284312	+	0.164148i	0.351062	+	0.936352i	$0.385821\pi$
$822$	2.55450	−	4.13419i	0.0890985	−	0.144196i
$823$	11.7204	−	20.3003i	0.408547	−	0.707624i	−0.586180	−	0.810181i	$-0.699369\pi$
$823$	11.7204	−	20.3003i	0.408547	−	0.707624i	0.994727	+	0.102557i	$0.0327023\pi$
$824$	12.7486	+	27.5089i	0.444118	+	0.958316i
$825$	−12.4986	+	33.6866i	−0.435146	+	1.17282i
$826$	14.3254	−	0.376676i	0.498446	−	0.0131062i
$827$			21.4901i			0.747285i	0.927573	+	0.373642i	$0.121891\pi$
$827$			21.4901i			0.747285i	−0.927573	+	0.373642i	$0.878109\pi$
$828$	−0.0774557	−	0.154834i	−0.00269177	−	0.00538087i
$829$	−11.6683	+	20.2101i	−0.405256	+	0.701925i	−0.994351	−	0.106139i	$-0.966151\pi$
$829$	−11.6683	+	20.2101i	−0.405256	+	0.701925i	0.589095	+	0.808064i	$0.299484\pi$
$830$	2.20220	+	40.5294i	0.0764393	+	1.40679i
$831$	−14.0706	−	24.3709i	−0.488102	−	0.845418i
$832$	3.92958	−	21.6863i	0.136234	−	0.751838i
$833$	−3.62735	+	8.31690i	−0.125680	+	0.288164i
$834$	−37.2277	−	1.11255i	−1.28909	−	0.0385244i
$835$	1.92250	+	0.903761i	0.0665308	+	0.0312759i
$836$	−32.6875	−	21.5727i	−1.13052	−	0.746107i
$837$	−12.3735	+	21.4315i	−0.427690	+	0.740780i
$838$	8.41896	+	15.6434i	0.290828	+	0.540393i
$839$	47.9666			1.65599			0.827995	−	0.560735i	$-0.189481\pi$
$839$	47.9666			1.65599			0.827995	+	0.560735i	$0.189481\pi$
$840$	23.0094	−	14.8881i	0.793901	−	0.513687i
$841$	−67.8943			−2.34118
$842$	−2.67219	−	4.96524i	−0.0920897	−	0.171113i
$843$	19.9154	−	34.4945i	0.685924	−	1.18806i
$844$	16.2812	−	24.6697i	0.560423	−	0.849167i
$845$	5.14685	−	10.9485i	0.177057	−	0.376639i
$846$	−3.74391	−	0.111887i	−0.128718	−	0.00384674i
$847$	11.9592	+	18.2630i	0.410922	+	0.627525i
$848$	42.8936	+	5.15050i	1.47297	+	0.176869i
$849$	−9.28126	−	16.0756i	−0.318532	−	0.551713i
$850$	−7.22930	+	5.63436i	−0.247963	+	0.193257i
$851$	−1.07632	+	1.86424i	−0.0368958	+	0.0639055i
$852$	4.16128	−	2.08168i	0.142563	−	0.0713171i
$853$			12.6214i			0.432149i	0.976377	+	0.216075i	$0.0693255\pi$
$853$			12.6214i			0.432149i	−0.976377	+	0.216075i	$0.930675\pi$
$854$	−31.1682	−	16.9186i	−1.06655	−	0.578941i
$855$	−2.60151	+	1.80958i	−0.0889699	+	0.0618862i
$856$	4.05879	+	8.75805i	0.138727	+	0.299344i
$857$	0.489774	−	0.848313i	0.0167303	−	0.0289778i	−0.857539	−	0.514419i	$-0.828008\pi$
$857$	0.489774	−	0.848313i	0.0167303	−	0.0289778i	0.874269	+	0.485441i	$0.161341\pi$
$858$	−14.7168	+	23.8176i	−0.502424	+	0.813119i
$859$	−35.4285	+	20.4546i	−1.20880	+	0.697904i	−0.962498	−	0.271288i	$-0.912550\pi$
$859$	−35.4285	+	20.4546i	−1.20880	+	0.697904i	−0.246306	+	0.969192i	$0.579217\pi$
$860$	17.0388	−	10.3999i	0.581018	−	0.354633i
$861$	15.2834	+	7.71420i	0.520858	+	0.262899i
$862$	−6.11727	−	0.182814i	−0.208355	−	0.00622667i
$863$	6.10169	+	10.5684i	0.207704	+	0.359754i	0.950991	−	0.309219i	$-0.100068\pi$
$863$	6.10169	+	10.5684i	0.207704	+	0.359754i	−0.743287	+	0.668973i	$0.766734\pi$
$864$	−24.0352	−	19.1588i	−0.817693	−	0.651795i
$865$	1.34252	+	15.9147i	0.0456472	+	0.541115i
$866$	5.40431	−	2.90849i	0.183646	−	0.0988345i
$867$	−25.0911			−0.852140
$868$	11.9751	+	20.9143i	0.406460	+	0.709879i
$869$		−	62.4362i		−	2.11800i
$870$	23.0579	−	45.4696i	0.781736	−	1.54156i
$871$	−13.2464	+	22.9434i	−0.448836	+	0.777407i
$872$	−14.5438	+	20.6666i	−0.492514	+	0.699859i
$873$	−0.00316310	−	0.00547864i	−0.000107055	−	0.000185424i
$874$	−1.71985	−	0.0513976i	−0.0581748	−	0.00173855i
$875$	28.1827	−	8.98542i	0.952748	−	0.303763i
$876$	12.0816	+	0.722760i	0.408199	+	0.0244198i
$877$	−20.5534	−	35.5995i	−0.694037	−	1.20211i	−0.970504	−	0.241085i	$-0.922497\pi$
$877$	−20.5534	−	35.5995i	−0.694037	−	1.20211i	0.276467	−	0.961024i	$-0.410836\pi$
$878$	−9.80499	−	6.05847i	−0.330903	−	0.204463i
$879$	19.2401	+	11.1083i	0.648954	+	0.374674i
$880$	20.8107	−	33.2716i	0.701529	−	1.12159i
$881$			13.8734i			0.467407i	0.972308	+	0.233704i	$0.0750846\pi$
$881$			13.8734i			0.467407i	−0.972308	+	0.233704i	$0.924915\pi$
$882$	−2.84255	−	1.34220i	−0.0957136	−	0.0451942i
$883$		−	40.4927i		−	1.36269i	−0.731963	−	0.681344i	$-0.761396\pi$
$883$		−	40.4927i		−	1.36269i	0.731963	−	0.681344i	$-0.238604\pi$
$884$	−6.38734	+	3.19526i	−0.214829	+	0.107468i
$885$	1.17905	+	13.9767i	0.0396332	+	0.469823i
$886$	11.7748	−	19.0562i	0.395581	−	0.640206i
$887$	10.5341	−	6.08189i	0.353702	−	0.204210i	−0.312613	−	0.949881i	$-0.601204\pi$
$887$	10.5341	−	6.08189i	0.353702	−	0.204210i	0.666314	+	0.745671i	$0.267871\pi$
$888$	−3.27424	+	36.4336i	−0.109876	+	1.22263i
$889$	−7.63333	+	0.429171i	−0.256014	+	0.0143939i
$890$	−6.29819	−	9.65766i	−0.211116	−	0.323726i
$891$	17.4331	+	30.1951i	0.584032	+	1.01157i
$892$	11.6890	+	7.71438i	0.391378	+	0.258297i
$893$	−18.6127	+	32.2381i	−0.622849	+	1.07881i
$894$	−13.4255	−	24.9460i	−0.449014	−	0.834321i
$895$	4.01979	+	5.77900i	0.134367	+	0.193171i
$896$	−27.9008	+	10.8419i	−0.932099	+	0.362203i
$897$			1.23002i			0.0410692i
$898$	−43.9441	+	23.6498i	−1.46643	+	0.789204i
$899$	38.8256	+	22.4160i	1.29491	+	0.747615i
$900$	−1.87632	−	2.56177i	−0.0625442	−	0.0853922i
$901$	−6.99984	−	12.1241i	−0.233199	−	0.403912i
$902$	24.5039	+	0.732296i	0.815890	+	0.0243828i
$903$	17.2672	+	8.71549i	0.574616	+	0.290033i
$904$	−26.2277	−	2.35705i	−0.872320	−	0.0783944i
$905$	−15.6560	+	33.3038i	−0.520424	+	1.10706i
$906$	−7.55043	+	12.2196i	−0.250846	+	0.405968i
$907$	−8.49106	−	4.90232i	−0.281941	−	0.162779i	0.352361	−	0.935864i	$-0.385379\pi$
$907$	−8.49106	−	4.90232i	−0.281941	−	0.162779i	−0.634302	+	0.773085i	$0.718712\pi$
$908$	−18.3627	−	36.7070i	−0.609386	−	1.21817i
$909$	2.08569			0.0691781
$910$	22.9090	−	2.54056i	0.759425	−	0.0842187i
$911$		−	37.9772i		−	1.25824i	−0.777307	−	0.629121i	$-0.783415\pi$
$911$		−	37.9772i		−	1.25824i	0.777307	−	0.629121i	$-0.216585\pi$
$912$	−26.8840	+	11.4963i	−0.890217	+	0.380682i
$913$	−28.1583	+	48.7717i	−0.931905	+	1.61411i
$914$	−7.68084	+	12.4306i	−0.254060	+	0.411169i
$915$	14.7675	−	31.4137i	0.488197	−	1.03850i
$916$	49.8789	+	2.98392i	1.64805	+	0.0985915i
$917$	0.488933	−	0.320168i	0.0161460	−	0.0105729i
$918$	−0.297532	+	9.95592i	−0.00982001	+	0.328594i
$919$	31.8722	−	18.4014i	1.05137	−	0.607008i	0.128336	−	0.991731i	$-0.459036\pi$
$919$	31.8722	−	18.4014i	1.05137	−	0.607008i	0.923032	+	0.384723i	$0.125703\pi$
$920$	0.00943016	−	1.72409i	0.000310903	−	0.0568414i
$921$	16.5069	−	28.5909i	0.543922	−	0.942101i
$922$	22.3865	−	12.0479i	0.737259	−	0.396778i
$923$	3.91327			0.128807
$924$	38.0251	+	0.136429i	1.25093	+	0.00448819i
$925$	−13.7342	+	37.0170i	−0.451579	+	1.21711i
$926$	−13.4001	+	7.21165i	−0.440354	+	0.236990i
$927$	2.94785	+	1.70194i	0.0968202	+	0.0558992i
$928$	−34.7083	+	43.5425i	−1.13936	+	1.42935i
$929$	−32.7095	+	18.8849i	−1.07316	+	0.619592i	−0.929044	−	0.369968i	$-0.879369\pi$
$929$	−32.7095	+	18.8849i	−1.07316	+	0.619592i	−0.144120	+	0.989560i	$0.546035\pi$
$930$	−19.7585	+	12.8854i	−0.647906	+	0.422528i
$931$	−25.1345	+	18.5551i	−0.823749	+	0.608118i
$932$	−0.498006	+	8.32463i	−0.0163127	+	0.272682i
$933$	−10.9015	−	18.8820i	−0.356899	−	0.618168i
$934$	16.6170	+	10.2676i	0.543725	+	0.335966i
$935$	−12.6721	+	1.06899i	−0.414423	+	0.0349598i
$936$	−1.04039	−	2.24496i	−0.0340064	−	0.0733788i
$937$	35.4048			1.15663			0.578313	−	0.815815i	$-0.303711\pi$
$937$	35.4048			1.15663			0.578313	+	0.815815i	$0.303711\pi$
$938$	35.9691	−	0.945780i	1.17443	−	0.0308808i
$939$	43.8603			1.43133
$940$	−32.7491	−	17.8566i	−1.06816	−	0.582417i
$941$	−28.1702	+	48.7923i	−0.918323	+	1.59058i	−0.116362	+	0.993207i	$0.537123\pi$
$941$	−28.1702	+	48.7923i	−0.918323	+	1.59058i	−0.801961	+	0.597376i	$0.796210\pi$
$942$	−11.8798	+	19.2263i	−0.387066	+	0.626426i
$943$	0.932722	−	0.538507i	0.0303736	−	0.0175362i
$944$	1.82643	−	15.2106i	0.0594451	−	0.495062i
$945$	12.0211	−	29.8129i	0.391045	−	0.969815i
$946$	27.6844	+	0.827347i	0.900099	+	0.0268994i
$947$	23.6105	−	13.6315i	0.767238	−	0.442965i	−0.0646505	−	0.997908i	$-0.520593\pi$
$947$	23.6105	−	13.6315i	0.767238	−	0.442965i	0.831888	+	0.554943i	$0.187260\pi$
$948$	−38.9041	−	25.6755i	−1.26355	−	0.833900i
$949$	8.81546	+	5.08961i	0.286162	+	0.165216i
$950$	−31.2568	+	4.35507i	−1.01410	+	0.141297i
$951$	−50.4200			−1.63498
$952$	8.23346	+	5.12834i	0.266848	+	0.166210i
$953$			50.6486i			1.64067i	0.571884	+	0.820334i	$0.306213\pi$
$953$			50.6486i			1.64067i	−0.571884	+	0.820334i	$0.693787\pi$
$954$	4.27093	−	2.29853i	0.138276	−	0.0744176i
$955$	3.01853	+	35.7825i	0.0976774	+	1.15790i
$956$	−44.2959	−	29.2339i	−1.43263	−	0.945492i
$957$	61.2595	−	35.3682i	1.98024	−	1.14329i
$958$	1.11721	−	37.3837i	0.0360954	−	1.20781i
$959$	−4.95563	−	2.50132i	−0.160026	−	0.0807718i
$960$	−12.1736	−	26.6494i	−0.392903	−	0.860105i
$961$	5.12836	+	8.88258i	0.165431	+	0.286535i
$962$	−16.1717	+	26.1722i	−0.521398	+	0.843827i
$963$	0.938514	+	0.541851i	0.0302432	+	0.0174609i
$964$	54.0976	−	27.0623i	1.74237	−	0.871617i
$965$	30.2340	−	21.0304i	0.973268	−	0.676991i
$966$	1.42430	−	0.873027i	0.0458262	−	0.0280892i
$967$	13.9730			0.449342			0.224671	−	0.974435i	$-0.427869\pi$
$967$	13.9730			0.449342			0.224671	+	0.974435i	$0.427869\pi$
$968$	21.1742	−	9.81289i	0.680565	−	0.315398i
$969$	8.20557	+	4.73749i	0.263601	+	0.152190i
$970$	−0.00341813	−	0.0629074i	−0.000109749	−	0.00201984i
$971$	34.8402	−	20.1150i	1.11807	−	0.645521i	0.177166	−	0.984181i	$-0.443307\pi$
$971$	34.8402	−	20.1150i	1.11807	−	0.645521i	0.940909	+	0.338660i	$0.109974\pi$
$972$	−6.55947	−	0.392409i	−0.210395	−	0.0125865i
$973$	2.38814	+	42.4759i	0.0765601	+	1.36171i
$974$	−0.389556	+	13.0352i	−0.0124822	+	0.417675i
$975$	3.77940	+	22.2416i	0.121038	+	0.712302i
$976$	−22.7355	+	30.3391i	−0.727744	+	0.971131i
$977$	24.4933	+	14.1412i	0.783610	+	0.452417i	0.837708	−	0.546118i	$-0.183895\pi$
$977$	24.4933	+	14.1412i	0.783610	+	0.452417i	−0.0540981	+	0.998536i	$0.517228\pi$
$978$	14.7050	+	27.3235i	0.470213	+	0.873710i
$979$		−	15.9975i		−	0.511281i
$980$	−19.2018	−	24.7243i	−0.613380	−	0.789788i
$981$			2.83713i			0.0905826i
$982$	7.34407	−	3.95243i	0.234359	−	0.126127i
$983$	−15.6579	−	9.04010i	−0.499410	−	0.288335i	0.229060	−	0.973412i	$-0.426435\pi$
$983$	−15.6579	−	9.04010i	−0.499410	−	0.288335i	−0.728470	+	0.685078i	$0.759768\pi$
$984$	10.5330	−	14.9673i	0.335778	−	0.477139i
$985$	−4.44376	+	9.45285i	−0.141590	+	0.301193i
$986$	18.0363	+	0.539013i	0.574393	+	0.0171657i
$987$	−2.02886	−	36.0857i	−0.0645792	−	1.14862i
$988$	−24.5471	−	1.46849i	−0.780946	−	0.0467187i
$989$	1.05379	−	0.608405i	0.0335085	−	0.0193461i
$990$	−0.239042	−	4.39934i	−0.00759724	−	0.139820i
$991$	18.3274	+	10.5813i	0.582188	+	0.336126i	0.762002	−	0.647574i	$-0.224216\pi$
$991$	18.3274	+	10.5813i	0.582188	+	0.336126i	−0.179814	+	0.983701i	$0.557550\pi$
$992$	23.9810	−	9.41792i	0.761397	−	0.299019i
$993$	7.54262			0.239358
$994$	−2.77750	−	4.53137i	−0.0880971	−	0.143726i
$995$	−14.8917	−	21.4089i	−0.472100	−	0.678708i
$996$	18.8102	+	37.6018i	0.596025	+	1.19146i
$997$	3.01420	+	1.74025i	0.0954607	+	0.0551143i	0.546970	−	0.837152i	$-0.315781\pi$
$997$	3.01420	+	1.74025i	0.0954607	+	0.0551143i	−0.451510	+	0.892266i	$0.649114\pi$
$998$	13.8301	+	8.54559i	0.437785	+	0.270506i
$999$	21.4531	+	37.1578i	0.678746	+	1.17562i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.ba.b.59.7	yes	80
4.3	odd	2		1120.2.bq.b.1039.28		80
5.4	even	2	inner	280.2.ba.b.59.34	yes	80
7.5	odd	6	inner	280.2.ba.b.19.32	yes	80
8.3	odd	2	inner	280.2.ba.b.59.9	yes	80
8.5	even	2		1120.2.bq.b.1039.27		80
20.19	odd	2		1120.2.bq.b.1039.13		80
28.19	even	6		1120.2.bq.b.719.14		80
35.19	odd	6	inner	280.2.ba.b.19.9	yes	80
40.19	odd	2	inner	280.2.ba.b.59.32	yes	80
40.29	even	2		1120.2.bq.b.1039.14		80
56.5	odd	6		1120.2.bq.b.719.13		80
56.19	even	6	inner	280.2.ba.b.19.34	yes	80
140.19	even	6		1120.2.bq.b.719.27		80
280.19	even	6	inner	280.2.ba.b.19.7	✓	80
280.229	odd	6		1120.2.bq.b.719.28		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.7	✓	80	280.19	even	6	inner
280.2.ba.b.19.9	yes	80	35.19	odd	6	inner
280.2.ba.b.19.32	yes	80	7.5	odd	6	inner
280.2.ba.b.19.34	yes	80	56.19	even	6	inner
280.2.ba.b.59.7	yes	80	1.1	even	1	trivial
280.2.ba.b.59.9	yes	80	8.3	odd	2	inner
280.2.ba.b.59.32	yes	80	40.19	odd	2	inner
280.2.ba.b.59.34	yes	80	5.4	even	2	inner
1120.2.bq.b.719.13		80	56.5	odd	6
1120.2.bq.b.719.14		80	28.19	even	6
1120.2.bq.b.719.27		80	140.19	even	6
1120.2.bq.b.719.28		80	280.229	odd	6
1120.2.bq.b.1039.13		80	20.19	odd	2
1120.2.bq.b.1039.14		80	40.29	even	2
1120.2.bq.b.1039.27		80	8.5	even	2
1120.2.bq.b.1039.28		80	4.3	odd	2

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.ba (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.24532 + 0.670206i) q^{2} +(-0.818911 + 1.41839i) q^{3} +(1.10165 - 1.66924i) q^{4} +(0.951297 - 2.02362i) q^{5} +(0.0691894 - 2.31520i) q^{6} +(-2.64158 + 0.148518i) q^{7} +(-0.253167 + 2.81707i) q^{8} +(0.158771 + 0.274999i) q^{9} +O(q^{10})\)	\(q+(-1.24532 + 0.670206i) q^{2} +(-0.818911 + 1.41839i) q^{3} +(1.10165 - 1.66924i) q^{4} +(0.951297 - 2.02362i) q^{5} +(0.0691894 - 2.31520i) q^{6} +(-2.64158 + 0.148518i) q^{7} +(-0.253167 + 2.81707i) q^{8} +(0.158771 + 0.274999i) q^{9} +(0.171572 + 3.15762i) q^{10} +(-2.19380 + 3.79978i) q^{11} +(1.46550 + 2.92953i) q^{12} +2.75493i q^{13} +(3.19008 - 1.95536i) q^{14} +(2.09126 + 3.00648i) q^{15} +(-1.57275 - 3.67783i) q^{16} +(-0.648108 + 1.12256i) q^{17} +(-0.382026 - 0.236053i) q^{18} +(-3.86514 + 2.23154i) q^{19} +(-2.32992 - 3.81726i) q^{20} +(1.95256 - 3.86843i) q^{21} +(0.185353 - 6.20224i) q^{22} +(-0.136303 - 0.236084i) q^{23} +(-3.78840 - 2.66602i) q^{24} +(-3.19007 - 3.85013i) q^{25} +(-1.84637 - 3.43078i) q^{26} -5.43354 q^{27} +(-2.66218 + 4.57305i) q^{28} +9.84349i q^{29} +(-4.61925 - 2.34245i) q^{30} +(2.27724 - 3.94429i) q^{31} +(4.42348 + 3.52602i) q^{32} +(-3.59306 - 6.22335i) q^{33} +(0.0547583 - 1.83231i) q^{34} +(-2.21238 + 5.48684i) q^{35} +(0.633949 + 0.0379249i) q^{36} +(-3.94827 - 6.83861i) q^{37} +(3.31775 - 5.36942i) q^{38} +(-3.90758 - 2.25604i) q^{39} +(5.45985 + 3.19219i) q^{40} +3.95081i q^{41} +(0.161080 + 6.12605i) q^{42} +4.46362i q^{43} +(3.92595 + 7.84800i) q^{44} +(0.707531 - 0.0596857i) q^{45} +(0.327966 + 0.202649i) q^{46} +(7.22329 - 4.17037i) q^{47} +(6.50456 + 0.781043i) q^{48} +(6.95588 - 0.784646i) q^{49} +(6.55304 + 2.65664i) q^{50} +(-1.06148 - 1.83855i) q^{51} +(4.59865 + 3.03496i) q^{52} +(-5.40022 + 9.35345i) q^{53} +(6.76650 - 3.64159i) q^{54} +(5.60234 + 8.05413i) q^{55} +(0.250374 - 7.47913i) q^{56} -7.30972i q^{57} +(-6.59717 - 12.2583i) q^{58} +(3.31684 + 1.91498i) q^{59} +(7.32238 - 0.178748i) q^{60} +(-4.73907 - 8.20831i) q^{61} +(-0.192403 + 6.43813i) q^{62} +(-0.460248 - 0.702851i) q^{63} +(-7.87181 - 1.42638i) q^{64} +(5.57493 + 2.62076i) q^{65} +(8.64544 + 5.34198i) q^{66} +(8.32812 + 4.80824i) q^{67} +(1.15983 + 2.31851i) q^{68} +0.446480 q^{69} +(-0.922185 - 8.31562i) q^{70} -1.42046i q^{71} +(-0.814888 + 0.377648i) q^{72} +(1.84745 - 3.19988i) q^{73} +(9.50014 + 5.87010i) q^{74} +(8.07338 - 1.37187i) q^{75} +(-0.533039 + 8.91022i) q^{76} +(5.23077 - 10.3632i) q^{77} +(6.37821 + 0.190612i) q^{78} +(-12.3237 + 7.11507i) q^{79} +(-8.93869 - 0.316075i) q^{80} +(3.97327 - 6.88191i) q^{81} +(-2.64786 - 4.92003i) q^{82} +12.8354 q^{83} +(-4.30631 - 7.52094i) q^{84} +(1.65508 + 2.37941i) q^{85} +(-2.99155 - 5.55864i) q^{86} +(-13.9620 - 8.06094i) q^{87} +(-10.1489 - 7.14208i) q^{88} +(-3.15758 + 1.82303i) q^{89} +(-0.841101 + 0.548519i) q^{90} +(-0.409158 - 7.27737i) q^{91} +(-0.544239 - 0.0325581i) q^{92} +(3.72971 + 6.46005i) q^{93} +(-6.20031 + 10.0345i) q^{94} +(0.838889 + 9.94442i) q^{95} +(-8.62372 + 3.38675i) q^{96} -0.0199224 q^{97} +(-8.13643 + 5.63901i) q^{98} -1.39325 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) \) 80 * q + 6 * q^4 - 52 * q^9	\( 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) \) 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

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