LMFDB - Embedded newform 280.2.ba.b.59.32

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			59.32
Character	$\chi$	$=$	280.59
Dual form			280.2.ba.b.19.32

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.20308 - 0.743376i) q^{2} +(0.818911 - 1.41839i) q^{3} +(0.894783 - 1.78868i) q^{4} +(2.22815 + 0.187962i) q^{5} +(-0.0691894 - 2.31520i) q^{6} +(-2.64158 + 0.148518i) q^{7} +(-0.253167 - 2.81707i) q^{8} +(0.158771 + 0.274999i) q^{9} +O(q^{10})$	\(q+(1.20308 - 0.743376i) q^{2} +(0.818911 - 1.41839i) q^{3} +(0.894783 - 1.78868i) q^{4} +(2.22815 + 0.187962i) 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} +(2.82036 - 1.43022i) q^{10} +(-2.19380 + 3.79978i) q^{11} +(-1.80430 - 2.73392i) q^{12} +2.75493i q^{13} +(-3.06762 + 2.14237i) q^{14} +(2.09126 - 3.00648i) q^{15} +(-2.39873 - 3.20096i) q^{16} +(0.648108 - 1.12256i) q^{17} +(0.395441 + 0.212818i) 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} +(-4.20304 - 1.94784i) q^{24} +(4.92934 + 0.837616i) q^{25} +(2.04795 + 3.31439i) q^{26} +5.43354 q^{27} +(-2.09799 + 4.85782i) q^{28} -9.84349i q^{29} +(0.281004 - 5.17162i) q^{30} +(-2.27724 + 3.94429i) q^{31} +(-5.26536 - 2.06784i) q^{32} +(3.59306 + 6.22335i) q^{33} +(-0.0547583 - 1.83231i) q^{34} +(-5.91376 - 0.165595i) q^{35} +(0.633949 - 0.0379249i) q^{36} +(-3.94827 - 6.83861i) q^{37} +(-2.99118 + 5.55796i) q^{38} +(3.90758 + 2.25604i) q^{39} +(-0.0345926 - 6.32446i) q^{40} +3.95081i q^{41} +(0.526618 + 6.10550i) q^{42} -4.46362i q^{43} +(4.83359 + 7.32398i) q^{44} +(0.302076 + 0.642583i) q^{45} +(-0.339482 - 0.182702i) 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} +(4.92768 + 2.46507i) q^{52} +(-5.40022 + 9.35345i) q^{53} +(6.53696 - 4.03916i) q^{54} +(-5.60234 + 8.05413i) q^{55} +(1.08715 + 7.40393i) q^{56} +7.30972i q^{57} +(-7.31742 - 11.8425i) q^{58} +(3.31684 + 1.91498i) q^{59} +(-3.50639 - 6.43074i) 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} +(-0.517823 + 6.13841i) q^{65} +(8.94901 + 4.81618i) q^{66} +(-8.32812 - 4.80824i) q^{67} +(-1.42797 - 2.16370i) q^{68} -0.446480 q^{69} +(-7.23780 + 4.19693i) q^{70} +1.42046i q^{71} +(0.734497 - 0.516889i) q^{72} +(-1.84745 + 3.19988i) q^{73} +(-9.83373 - 5.29231i) q^{74} +(5.22476 - 6.30582i) 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} +(-4.74307 - 7.58309i) q^{80} +(3.97327 - 6.88191i) q^{81} +(2.93694 + 4.75313i) q^{82} -12.8354 q^{83} +(5.17224 + 6.95390i) q^{84} +(1.65508 - 2.37941i) q^{85} +(-3.31815 - 5.37007i) q^{86} +(-13.9620 - 8.06094i) q^{87} +(11.2596 + 5.21812i) 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} +(5.59001 - 10.3869i) q^{94} +(-9.03157 + 4.24571i) q^{95} +(-7.24487 + 5.77499i) q^{96} +0.0199224 q^{97} +(7.78517 - 6.11483i) 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 $

$2$	1.20308	−	0.743376i	0.850703	−	0.525646i
$2$	1.20308	−	0.743376i	0.850703	−	0.525646i
$3$	0.818911	−	1.41839i	0.472798	−	0.818911i	−0.526717	−	0.850041i	$-0.676577\pi$
$3$	0.818911	−	1.41839i	0.472798	−	0.818911i	0.999515	+	0.0311300i	$0.00991059\pi$
$4$	0.894783	−	1.78868i	0.447392	−	0.894338i
$5$	2.22815	+	0.187962i	0.996461	+	0.0840591i
$5$	2.22815	+	0.187962i	0.996461	+	0.0840591i
$6$	−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
$10$	2.82036	−	1.43022i	0.891878	−	0.452277i
$11$	−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	$0.936605\pi$
$12$	−1.80430	−	2.73392i	−0.520857	−	0.789215i
$13$			2.75493i			0.764081i	0.924146	+	0.382040i	$0.124779\pi$
$13$			2.75493i			0.764081i	−0.924146	+	0.382040i	$0.875221\pi$
$14$	−3.06762	+	2.14237i	−0.819855	+	0.572572i
$15$	2.09126	−	3.00648i	0.539962	−	0.776269i
$16$	−2.39873	−	3.20096i	−0.599681	−	0.800239i
$17$	0.648108	−	1.12256i	0.157189	−	0.272260i	−0.776665	−	0.629914i	$-0.783090\pi$
$17$	0.648108	−	1.12256i	0.157189	−	0.272260i	0.933854	+	0.357654i	$0.116423\pi$
$18$	0.395441	+	0.212818i	0.0932063	+	0.0501617i
$19$	−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	$0.842381\pi$
$24$	−4.20304	−	1.94784i	−0.857943	−	0.397601i
$25$	4.92934	+	0.837616i	0.985868	+	0.167523i
$26$	2.04795	+	3.31439i	0.401636	+	0.650006i
$27$	5.43354			1.04569
$28$	−2.09799	+	4.85782i	−0.396483	+	0.918042i
$29$		−	9.84349i		−	1.82789i	−0.405838	−	0.913945i	$-0.633020\pi$
$29$		−	9.84349i		−	1.82789i	0.405838	−	0.913945i	$-0.366980\pi$
$30$	0.281004	−	5.17162i	0.0513041	−	0.944204i
$31$	−2.27724	+	3.94429i	−0.409004	+	0.708416i	−0.994778	−	0.102058i	$-0.967457\pi$
$31$	−2.27724	+	3.94429i	−0.409004	+	0.708416i	0.585774	+	0.810474i	$0.300791\pi$
$32$	−5.26536	−	2.06784i	−0.930794	−	0.365545i
$33$	3.59306	+	6.22335i	0.625471	+	1.08335i
$34$	−0.0547583	−	1.83231i	−0.00939098	−	0.314238i
$35$	−5.91376	−	0.165595i	−0.999608	−	0.0279906i
$36$	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	$-0.391518\pi$
$38$	−2.99118	+	5.55796i	−0.485234	+	0.901620i
$39$	3.90758	+	2.25604i	0.625714	+	0.361256i
$40$	−0.0345926	−	6.32446i	−0.00546958	−	0.999985i
$41$			3.95081i			0.617013i	0.951222	+	0.308507i	$0.0998292\pi$
$41$			3.95081i			0.617013i	−0.951222	+	0.308507i	$0.900171\pi$
$42$	0.526618	+	6.10550i	0.0812590	+	0.942099i
$43$		−	4.46362i		−	0.680696i	−0.940300	−	0.340348i	$-0.889455\pi$
$43$		−	4.46362i		−	0.680696i	0.940300	−	0.340348i	$-0.110545\pi$
$44$	4.83359	+	7.32398i	0.728691	+	1.10413i
$45$	0.302076	+	0.642583i	0.0450309	+	0.0957906i
$46$	−0.339482	−	0.182702i	−0.0500539	−	0.0269380i
$47$	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
$52$	4.92768	+	2.46507i	0.683347	+	0.341843i
$53$	−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	$0.900650\pi$
$54$	6.53696	−	4.03916i	0.889568	−	0.549661i
$55$	−5.60234	+	8.05413i	−0.755420	+	1.08602i
$56$	1.08715	+	7.40393i	0.145276	+	0.989391i
$57$			7.30972i			0.968196i
$58$	−7.31742	−	11.8425i	−0.960824	−	1.55499i
$59$	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	$0.586463\pi$
$60$	−3.50639	−	6.43074i	−0.452673	−	0.830205i
$61$	4.73907	+	8.20831i	0.606776	+	1.05097i	0.991768	+	0.128047i	$0.0408708\pi$
$61$	4.73907	+	8.20831i	0.606776	+	1.05097i	−0.384992	+	0.922920i	$0.625796\pi$
$62$	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
$65$	−0.517823	+	6.13841i	−0.0642280	+	0.761377i
$66$	8.94901	+	4.81618i	1.10155	+	0.592830i
$67$	−8.32812	−	4.80824i	−1.01744	−	0.587420i	−0.104079	−	0.994569i	$-0.533190\pi$
$67$	−8.32812	−	4.80824i	−1.01744	−	0.587420i	−0.913362	+	0.407149i	$0.866523\pi$
$68$	−1.42797	−	2.16370i	−0.173167	−	0.262387i
$69$	−0.446480			−0.0537499
$70$	−7.23780	+	4.19693i	−0.865083	+	0.501629i
$71$			1.42046i			0.168578i	0.996441	+	0.0842888i	$0.0268618\pi$
$71$			1.42046i			0.168578i	−0.996441	+	0.0842888i	$0.973138\pi$
$72$	0.734497	−	0.516889i	0.0865612	−	0.0609160i
$73$	−1.84745	+	3.19988i	−0.216228	+	0.374518i	−0.953652	−	0.300912i	$-0.902709\pi$
$73$	−1.84745	+	3.19988i	−0.216228	+	0.374518i	0.737424	+	0.675430i	$0.236042\pi$
$74$	−9.83373	−	5.29231i	−1.14315	−	0.615219i
$75$	5.22476	−	6.30582i	0.603303	−	0.728133i
$76$	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	0.393599	−	0.919282i	$-0.371230\pi$
$79$	12.3237	−	7.11507i	1.38652	−	0.800508i	0.992921	+	0.118774i	$0.0378964\pi$
$80$	−4.74307	−	7.58309i	−0.530292	−	0.847815i
$81$	3.97327	−	6.88191i	0.441475	−	0.764657i
$82$	2.93694	+	4.75313i	0.324331	+	0.524895i
$83$	−12.8354			−1.40887			−0.704435	−	0.709769i	$-0.748799\pi$
$83$	−12.8354			−1.40887			−0.704435	+	0.709769i	$0.748799\pi$
$84$	5.17224	+	6.95390i	0.564338	+	0.758733i
$85$	1.65508	−	2.37941i	0.179519	−	0.258083i
$86$	−3.31815	−	5.37007i	−0.357805	−	0.579070i
$87$	−13.9620	−	8.06094i	−1.49688	−	0.864223i
$88$	11.2596	+	5.21812i	1.20028	+	0.556254i
$89$	−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
$94$	5.59001	−	10.3869i	0.576566	−	1.07133i
$95$	−9.03157	+	4.24571i	−0.926619	+	0.435601i
$96$	−7.24487	+	5.77499i	−0.739427	+	0.589407i
$97$	0.0199224			0.00202282			0.00101141	−	0.999999i	$-0.499678\pi$
$97$	0.0199224			0.00202282			0.00101141	+	0.999999i	$0.499678\pi$
$98$	7.78517	−	6.11483i	0.786421	−	0.617691i
$99$	−1.39325			−0.140026
$100$	5.90892	−	8.06751i	0.590892	−	0.806751i
$101$	−3.28413	+	5.68828i	−0.326783	+	0.566005i	−0.981872	−	0.189547i	$-0.939298\pi$
$101$	−3.28413	+	5.68828i	−0.326783	+	0.566005i	0.655088	+	0.755552i	$0.272631\pi$
$102$	−2.64378	−	1.42283i	−0.261773	−	0.140881i
$103$	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
$105$	−5.07772	+	8.25244i	−0.495535	+	0.805356i
$106$	0.456262	+	15.2673i	0.0443161	+	1.48289i
$107$	−2.95557	+	1.70640i	−0.285725	+	0.164964i	−0.636013	−	0.771679i	$-0.719417\pi$
$107$	−2.95557	+	1.70640i	−0.285725	+	0.164964i	0.350287	+	0.936642i	$0.386084\pi$
$108$	4.86184	−	9.71884i	0.467831	−	0.935196i
$109$	−7.73766	−	4.46734i	−0.741134	−	0.427894i	0.0813476	−	0.996686i	$-0.474078\pi$
$109$	−7.73766	−	4.46734i	−0.741134	−	0.427894i	−0.822481	+	0.568792i	$0.807411\pi$
$110$	−0.752789	+	13.8544i	−0.0717756	+	1.32096i
$111$	−12.9331			−1.22756
$112$	6.81182	+	8.09932i	0.643657	+	0.765314i
$113$		−	9.31026i		−	0.875836i	−0.899015	−	0.437918i	$-0.855716\pi$
$113$		−	9.31026i		−	0.875836i	0.899015	−	0.437918i	$-0.144284\pi$
$114$	5.43387	+	8.79415i	0.508929	+	0.823648i
$115$	−0.259329	−	0.551651i	−0.0241826	−	0.0514417i
$116$	−17.6068	−	8.80779i	−1.63475	−	0.817783i
$117$	−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
$122$	11.8033	+	6.35231i	1.06862	+	0.575111i
$123$	5.60381	+	3.23536i	0.505279	+	0.291723i
$124$	5.01743	+	7.60253i	0.450578	+	0.682728i
$125$	10.8259	+	2.79287i	0.968297	+	0.249802i
$126$	−1.07620	−	0.503446i	−0.0958751	−	0.0448505i
$127$	2.88968			0.256418			0.128209	−	0.991747i	$-0.459077\pi$
$127$	2.88968			0.256418			0.128209	+	0.991747i	$0.459077\pi$
$128$	−8.41005	+	7.56776i	−0.743350	+	0.668902i
$129$	−6.33118	−	3.65531i	−0.557429	−	0.321832i
$130$	3.94017	+	7.76992i	0.345576	+	0.681467i
$131$	−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
$135$	12.1068	+	1.02130i	1.04198	+	0.0878994i
$136$	−3.32640	−	1.54157i	−0.285237	−	0.132189i
$137$	−1.81703	−	1.04906i	−0.155239	−	0.0896274i	0.420368	−	0.907354i	$-0.361901\pi$
$137$	−1.81703	−	1.04906i	−0.155239	−	0.0896274i	−0.575607	+	0.817726i	$0.695234\pi$
$138$	−0.537149	+	0.331903i	−0.0457252	+	0.0282534i
$139$		−	16.0797i		−	1.36387i	−0.731415	−	0.681933i	$-0.761140\pi$
$139$		−	16.0797i		−	1.36387i	0.731415	−	0.681933i	$-0.238860\pi$
$140$	−5.58773	+	10.4296i	−0.472249	+	0.881465i
$141$		−	13.6606i		−	1.15043i
$142$	1.05594	+	1.70892i	0.0886122	+	0.143409i
$143$	−10.4681	−	6.04378i	−0.875389	−	0.505406i
$144$	0.499412	−	1.16786i	0.0416177	−	0.0973220i
$145$	1.85020	−	21.9328i	0.153651	−	1.82142i
$146$	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	−0.866598	−	0.499007i	$-0.833698\pi$
$149$	−10.5922	+	6.11539i	−0.867744	+	0.500992i	−0.00114601	+	0.999999i	$0.500365\pi$
$150$	1.59819	−	11.4703i	0.130491	−	0.936549i
$151$	5.37065	+	3.10075i	0.437058	+	0.252335i	0.702349	−	0.711833i	$-0.252135\pi$
$151$	5.37065	+	3.10075i	0.437058	+	0.252335i	−0.265291	+	0.964168i	$0.585468\pi$
$152$	7.26493	+	10.3234i	0.589264	+	0.837341i
$153$	0.411602			0.0332760
$154$	−1.41077	−	16.3562i	−0.113683	−	1.31802i
$155$	−5.81542	+	8.36046i	−0.467106	+	0.671528i
$156$	7.53177	−	4.97073i	0.603024	−	0.397977i
$157$	−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	$0.793972\pi$
$158$	9.53713	−	17.7211i	0.758733	−	1.40981i
$159$	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	0.0286947	−	0.999588i	$-0.490865\pi$
$163$	11.6016	−	6.69821i	0.908711	−	0.524644i	0.880016	+	0.474944i	$0.157532\pi$
$164$	7.06672	+	3.53512i	0.551818	+	0.276047i
$165$	6.83613	+	14.5419i	0.532192	+	1.13209i
$166$	−15.4420	+	9.54154i	−1.19853	+	0.740567i
$167$			0.950030i			0.0735155i	0.999324	+	0.0367578i	$0.0117030\pi$
$167$			0.950030i			0.0735155i	−0.999324	+	0.0367578i	$0.988297\pi$
$168$	11.3920	+	4.52115i	0.878909	+	0.348814i
$169$	5.41034			0.416180
$170$	0.222394	−	4.09296i	0.0170568	−	0.313915i
$171$	−1.22734	−	0.708606i	−0.0938571	−	0.0541884i
$172$	−7.98397	−	3.99397i	−0.608772	−	0.304538i
$173$	−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
$175$	−13.1456	−	1.48053i	−0.993717	−	0.111918i
$176$	17.4252	−	2.09236i	1.31348	−	0.157717i
$177$	5.43239	−	3.13639i	0.408324	−	0.235746i
$178$	−2.44361	+	4.54052i	−0.183157	+	0.340326i
$179$	−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	$0.204204\pi$
$180$	1.41966	+	0.0346558i	0.105816	+	0.00258309i
$181$	16.4575			1.22328			0.611640	−	0.791136i	$-0.290510\pi$
$181$	16.4575			1.22328			0.611640	+	0.791136i	$0.290510\pi$
$182$	−5.90208	−	8.45108i	−0.437491	−	0.626435i
$183$	15.5235			1.14753
$184$	−0.630558	+	0.443744i	−0.0464853	+	0.0327133i
$185$	−7.51196	−	15.9796i	−0.552290	−	1.17484i
$186$	9.28937	+	4.99935i	0.681130	+	0.366570i
$187$	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	0.0962140	−	0.995361i	$-0.469327\pi$
$191$	13.9077	−	8.02964i	1.00633	−	0.581004i	0.910115	+	0.414357i	$0.135993\pi$
$192$	−4.42314	+	12.3334i	−0.319213	+	0.890088i
$193$	−14.2638	−	8.23520i	−1.02673	−	0.592783i	−0.110684	−	0.993856i	$-0.535304\pi$
$193$	−14.2638	−	8.23520i	−1.02673	−	0.592783i	−0.916046	+	0.401073i	$0.868637\pi$
$194$	0.0239682	−	0.0148099i	0.00172082	−	0.00106329i
$195$	8.28265	+	5.76129i	0.593133	+	0.412575i
$196$	4.82053	−	13.1439i	0.344324	−	0.938851i
$197$	−4.67126			−0.332814			−0.166407	−	0.986057i	$-0.553216\pi$
$197$	−4.67126			−0.332814			−0.166407	+	0.986057i	$0.553216\pi$
$198$	−1.67618	+	1.03571i	−0.119121	+	0.0736044i
$199$	−5.83140	+	10.1003i	−0.413377	+	0.715990i	−0.995257	−	0.0972849i	$-0.968984\pi$
$199$	−5.83140	+	10.1003i	−0.413377	+	0.715990i	0.581879	+	0.813275i	$0.302318\pi$
$200$	1.11168	−	14.0984i	0.0786077	−	0.996906i
$201$	−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
$205$	−0.742602	+	8.80302i	−0.0518656	+	0.614829i
$206$	7.18428	−	13.3492i	0.500553	−	0.930085i
$207$	0.0432818	−	0.0749663i	0.00300829	−	0.00521052i
$208$	8.81842	−	6.60833i	0.611447	−	0.458205i
$209$		−	19.5822i		−	1.35453i
$210$	0.0257855	+	13.7030i	0.00177937	+	0.945595i
$211$	14.7790			1.01743			0.508714	−	0.860936i	$-0.330121\pi$
$211$	14.7790			1.01743			0.508714	+	0.860936i	$0.330121\pi$
$212$	11.8983	+	18.0285i	0.817176	+	1.23821i
$213$	2.01477	+	1.16323i	0.138050	+	0.0797032i
$214$	−2.28728	+	4.25002i	−0.156355	+	0.290526i
$215$	0.838991	−	9.94563i	0.0572187	−	0.678287i
$216$	−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
$220$	9.39336	+	17.2275i	0.633300	+	1.16148i
$221$	3.09257	+	1.78549i	0.208028	+	0.120105i
$222$	−15.5595	+	9.61418i	−1.04429	+	0.645261i
$223$			7.00259i			0.468928i	0.972125	+	0.234464i	$0.0753335\pi$
$223$			7.00259i			0.468928i	−0.972125	+	0.234464i	$0.924666\pi$
$224$	14.2160	+	4.68035i	0.949846	+	0.312719i
$225$	0.552291	+	1.48855i	0.0368194	+	0.0992368i
$226$	−6.92103	−	11.2010i	−0.460380	−	0.745076i
$227$	−10.2610	+	17.7725i	−0.681043	+	1.17960i	0.293619	+	0.955922i	$0.405140\pi$
$227$	−10.2610	+	17.7725i	−0.681043	+	1.17960i	−0.974663	+	0.223679i	$0.928193\pi$
$228$	13.0747	+	6.54062i	0.865895	+	0.433163i
$229$	−12.4920	−	21.6368i	−0.825496	−	1.42980i	−0.901539	−	0.432697i	$-0.857562\pi$
$229$	−12.4920	−	21.6368i	−0.825496	−	1.42980i	0.0760431	−	0.997105i	$-0.475771\pi$
$230$	−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	−0.377028	−	0.926202i	$-0.623054\pi$
$233$	3.61112	−	2.08488i	0.236572	−	0.136585i	0.613600	+	0.789617i	$0.289721\pi$
$234$	−0.586300	+	1.08941i	−0.0383276	+	0.0712171i
$235$	16.8785	−	7.93452i	1.10103	−	0.517591i
$236$	6.39313	−	4.21926i	0.416157	−	0.274651i
$237$		−	23.3064i		−	1.51392i
$238$	0.416780	+	4.83205i	0.0270158	+	0.313215i
$239$			26.5365i			1.71651i	0.513228	+	0.858253i	$0.328450\pi$
$239$			26.5365i			1.71651i	−0.513228	+	0.858253i	$0.671550\pi$
$240$	−14.6400	+	0.517674i	−0.945006	+	0.0334157i
$241$	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	$0.239256\pi$
$242$	−10.2752	−	5.52991i	−0.660516	−	0.355476i
$243$	1.64280	+	2.84541i	0.105386	+	0.182533i
$244$	18.9225	−	1.13200i	1.21139	−	0.0724691i
$245$	15.6463	−	0.440870i	0.999603	−	0.0281662i
$246$	9.14690	−	0.273354i	0.583185	−	0.0174284i
$247$	−6.14774	−	10.6482i	−0.391171	−	0.677528i
$248$	11.6879	+	5.41659i	0.742182	+	0.343954i
$249$	−10.5111	+	18.2057i	−0.666111	+	1.15374i
$250$	15.1005	−	4.68768i	0.955041	−	0.296475i
$251$			21.4077i			1.35124i	0.737250	+	0.675620i	$0.236124\pi$
$251$			21.4077i			1.35124i	−0.737250	+	0.675620i	$0.763876\pi$
$252$	−1.66899	+	0.194335i	−0.105137	+	0.0122419i
$253$	1.19609			0.0751973
$254$	3.47651	−	2.14812i	0.218136	−	0.134785i
$255$	−2.01957	−	4.29608i	−0.126471	−	0.269031i
$256$	−4.49223	+	15.3564i	−0.280765	+	0.959777i
$257$	−4.90535	−	8.49632i	−0.305988	−	0.529986i	0.671493	−	0.741011i	$-0.265653\pi$
$257$	−4.90535	−	8.49632i	−0.305988	−	0.529986i	−0.977481	+	0.211025i	$0.932320\pi$
$258$	−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
$262$	−0.148045	+	0.275085i	−0.00914626	+	0.0169948i
$263$	−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	$0.291868\pi$
$264$	16.6220	−	11.6975i	1.02301	−	0.719928i
$265$	−13.7906	+	19.8259i	−0.847150	+	1.21789i
$266$	7.07598	−	15.1260i	0.433856	−	0.927437i
$267$			5.97160i			0.365456i
$268$	−16.0522	+	10.5940i	−0.980547	+	0.647130i
$269$	−3.48319	+	6.03307i	−0.212374	+	0.367843i	−0.952457	−	0.304673i	$-0.901453\pi$
$269$	−3.48319	+	6.03307i	−0.212374	+	0.367843i	0.740083	+	0.672516i	$0.234786\pi$
$270$	15.3246	−	7.77118i	0.932623	−	0.472939i
$271$	−13.3991	−	23.2079i	−0.813935	−	1.40978i	−0.910090	−	0.414411i	$-0.863988\pi$
$271$	−13.3991	−	23.2079i	−0.813935	−	1.40978i	0.0961544	−	0.995366i	$-0.469346\pi$
$272$	−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
$275$	−13.9967	+	16.8928i	−0.844036	+	1.01868i
$276$	−0.399503	+	0.798608i	−0.0240472	+	0.0480705i
$277$	−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	$0.994018\pi$
$278$	−11.9533	−	19.3451i	−0.716911	−	1.16024i
$279$	−1.44624			−0.0865838
$280$	1.03068	+	16.7014i	0.0615948	+	0.998101i
$281$	−24.3194			−1.45078			−0.725388	−	0.688341i	$-0.758339\pi$
$281$	−24.3194			−1.45078			−0.725388	+	0.688341i	$0.758339\pi$
$282$	−10.1550	−	16.4348i	−0.604721	−	0.978677i
$283$	5.66683	−	9.81524i	0.336858	−	0.583455i	−0.646982	−	0.762505i	$-0.723969\pi$
$283$	5.66683	−	9.81524i	0.336858	−	0.583455i	0.983840	+	0.179050i	$0.0573024\pi$
$284$	2.54074	+	1.27100i	0.150765	+	0.0754202i
$285$	−1.37395	+	16.2872i	−0.0813858	+	0.964770i
$286$	−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
$290$	−14.0784	−	27.7622i	−0.826712	−	1.63025i
$291$	0.0163147	−	0.0282579i	0.000956384	−	0.00165650i
$292$	4.07048	+	6.16770i	0.238207	+	0.360937i
$293$		−	13.5647i		−	0.792460i	−0.918151	−	0.396230i	$-0.870318\pi$
$293$		−	13.5647i		−	0.792460i	0.918151	−	0.396230i	$-0.129682\pi$
$294$	−2.29788	−	16.0499i	−0.134015	−	0.936052i
$295$	7.03049	+	4.89031i	0.409331	+	0.284725i
$296$	−18.2653	+	12.8539i	−1.06165	+	0.747117i
$297$	−11.9201	+	20.6462i	−0.691675	+	1.19802i
$298$	−8.19714	+	15.2312i	−0.474848	+	0.882322i
$299$	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
$304$	16.4145	+	7.01929i	0.941434	+	0.402584i
$305$	9.01653	+	19.1801i	0.516285	+	1.09825i
$306$	0.495188	−	0.305975i	0.0283080	−	0.0174914i
$307$	20.1572			1.15043			0.575216	−	0.818002i	$-0.304918\pi$
$307$	20.1572			1.15043			0.575216	+	0.818002i	$0.304918\pi$
$308$	−13.8561	−	18.6290i	−0.789522	−	1.06149i
$309$		−	17.5566i		−	0.998763i
$310$	−0.781420	+	14.3813i	−0.0443817	+	0.816804i
$311$	6.65610	−	11.5287i	0.377433	−	0.653733i	−0.613255	−	0.789885i	$-0.710140\pi$
$311$	6.65610	−	11.5287i	0.377433	−	0.653733i	0.990688	+	0.136152i	$0.0434736\pi$
$312$	5.36617	−	11.5791i	0.303800	−	0.655538i
$313$	13.3898	+	23.1919i	0.756838	+	1.31088i	0.944456	+	0.328639i	$0.106590\pi$
$313$	13.3898	+	23.1919i	0.756838	+	1.31088i	−0.187618	+	0.982242i	$0.560077\pi$
$314$	−13.7929	+	0.412201i	−0.778380	+	0.0232618i
$315$	−0.893393	−	1.65257i	−0.0503370	−	0.0931117i
$316$	−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	$0.500954\pi$
$318$	22.0287	+	11.8554i	1.23531	+	0.664818i
$319$	37.4031	+	21.5947i	2.09417	+	1.20907i
$320$	−17.8077	+	1.69860i	−0.995482	+	0.0949544i
$321$			5.58955i			0.311978i
$322$	0.923903	+	0.432203i	0.0514871	+	0.0240857i
$323$			5.78511i			0.321892i
$324$	−8.75429	−	13.2647i	−0.486349	−	0.736929i
$325$	−2.30758	+	13.5800i	−0.128001	+	0.753283i
$326$	8.97837	−	16.6828i	0.497266	−	0.923977i
$327$	−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	$0.873728\pi$
$332$	−11.4849	+	22.9584i	−0.630317	+	1.26001i
$333$	1.25374	−	2.17154i	0.0687045	−	0.119000i
$334$	0.706230	+	1.14296i	0.0386432	+	0.0625399i
$335$	−17.6526	−	12.2789i	−0.964462	−	0.670866i
$336$	17.0663	−	3.02923i	0.931044	−	0.165258i
$337$		−	12.2970i		−	0.669862i	−0.942243	−	0.334931i	$-0.891287\pi$
$337$		−	12.2970i		−	0.669862i	0.942243	−	0.334931i	$-0.108713\pi$
$338$	6.50906	−	4.02192i	0.354046	−	0.218764i
$339$	−13.2056	−	7.62427i	−0.717231	−	0.414094i
$340$	−2.77505	−	5.08946i	−0.150498	−	0.276015i
$341$	−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
$345$	−0.994826	−	0.0839212i	−0.0535596	−	0.00451817i
$346$	−4.78697	+	8.89474i	−0.257349	+	0.478184i
$347$	6.93751	+	4.00537i	0.372425	+	0.215020i	0.674517	−	0.738259i	$-0.264352\pi$
$347$	6.93751	+	4.00537i	0.372425	+	0.215020i	−0.302092	+	0.953279i	$0.597685\pi$
$348$	−26.9113	+	17.7606i	−1.44260	+	0.952069i
$349$	15.3254			0.820347			0.410174	−	0.912007i	$-0.365468\pi$
$349$	15.3254			0.820347			0.410174	+	0.912007i	$0.365468\pi$
$350$	−16.9158	+	7.99097i	−0.904188	+	0.427135i
$351$			14.9690i			0.798988i
$352$	19.4085	−	15.4708i	1.03448	−	0.824595i
$353$	14.7109	−	25.4800i	0.782981	−	1.35616i	−0.147216	−	0.989104i	$-0.547031\pi$
$353$	14.7109	−	25.4800i	0.782981	−	1.35616i	0.930198	−	0.367059i	$-0.119635\pi$
$354$	4.20406	−	7.81163i	0.223443	−	0.415183i
$355$	−0.266992	+	3.16500i	−0.0141705	+	0.167981i
$356$	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	−0.416289	−	0.909233i	$-0.636669\pi$
$359$	3.08814	−	1.78294i	0.162986	−	0.0940998i	0.579274	+	0.815133i	$0.303336\pi$
$360$	1.73373	−	1.01365i	0.0913754	−	0.0534241i
$361$	0.459526	−	0.795923i	0.0241856	−	0.0418907i
$362$	19.7997	−	12.2342i	1.04065	−	0.643013i
$363$	−13.5138			−0.709289
$364$	−13.3830	−	5.77982i	−0.701458	−	0.302945i
$365$	−4.71787	+	6.78258i	−0.246944	+	0.355016i
$366$	18.6760	−	11.5398i	0.976208	−	0.603195i
$367$	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	$0.587650\pi$
$368$	−0.428740	+	1.00260i	−0.0223496	+	0.0522641i
$369$	−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	$0.882287\pi$
$374$	7.08249	+	3.81165i	0.366227	+	0.197096i
$375$	12.8268	−	13.0683i	0.662374	−	0.674843i
$376$	−13.5769	−	19.2927i	−0.700177	−	0.994947i
$377$	27.1182			1.39666
$378$	−16.6680	+	11.6406i	−0.857310	+	0.598730i
$379$	10.0919			0.518388			0.259194	−	0.965825i	$-0.416543\pi$
$379$	10.0919			0.518388			0.259194	+	0.965825i	$0.416543\pi$
$380$	−0.487091	+	19.9535i	−0.0249872	+	1.02360i
$381$	2.36639	−	4.09871i	0.121234	−	0.209983i
$382$	10.7630	−	19.9989i	0.550684	−	1.02324i
$383$	−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
$385$	13.6028	−	22.1077i	0.693265	−	1.12671i
$386$	−23.2823	+	0.695789i	−1.18504	+	0.0354147i
$387$	1.22749	−	0.708692i	0.0623968	−	0.0360248i
$388$	0.0178262	−	0.0356348i	0.000904991	−	0.00180908i
$389$	−17.0998	−	9.87258i	−0.866995	−	0.500560i	−0.000646573	−	1.00000i	$-0.500206\pi$
$389$	−17.0998	−	9.87258i	−0.866995	−	0.500560i	−0.866349	+	0.499440i	$0.833539\pi$
$390$	14.2475	+	0.774147i	0.721448	+	0.0392005i
$391$	−0.353356			−0.0178700
$392$	−3.97141	−	19.3966i	−0.200586	−	0.979676i
$393$			0.361787i			0.0182497i
$394$	−5.61988	+	3.47251i	−0.283126	+	0.174942i
$395$	28.7964	−	13.5371i	1.44890	−	0.681125i
$396$	−1.24665	+	2.49206i	−0.0626467	+	0.125231i
$397$	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	$-0.385660\pi$
$402$	−10.5558	+	19.6139i	−0.526475	+	0.978252i
$403$	−10.8663	−	6.27364i	−0.541287	−	0.312512i
$404$	7.23591	+	10.9640i	0.360000	+	0.545481i
$405$	10.1466	−	14.5871i	0.504189	−	0.724840i
$406$	21.0884	+	30.1960i	1.04660	+	1.49860i
$407$	34.6469			1.71738
$408$	−4.91059	+	3.45574i	−0.243110	+	0.171085i
$409$	−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	$0.763331\pi$
$410$	5.65055	+	11.1427i	0.279061	+	0.550300i
$411$	−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
$415$	−28.5993	−	2.41257i	−1.40388	−	0.118428i
$416$	5.69675	−	14.5057i	0.279306	−	0.711202i
$417$	−22.8074	−	13.1679i	−1.11688	−	0.644833i
$418$	−14.5570	−	23.5589i	−0.712004	−	1.15230i
$419$		−	12.5618i		−	0.613682i	−0.951761	−	0.306841i	$-0.900728\pi$
$419$		−	12.5618i		−	0.613682i	0.951761	−	0.306841i	$-0.0992719\pi$
$420$	10.2175	+	16.4665i	0.498562	+	0.803485i
$421$		−	3.98711i		−	0.194320i	−0.995269	−	0.0971600i	$-0.969024\pi$
$421$		−	3.98711i		−	0.194320i	0.995269	−	0.0971600i	$-0.0309759\pi$
$422$	17.7802	−	10.9863i	0.865528	−	0.534807i
$423$	2.29369	+	1.32426i	0.111523	+	0.0643879i
$424$	27.7165	+	12.8448i	1.34603	+	0.623800i
$425$	4.13501	−	4.99059i	0.200578	−	0.242079i
$426$	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
$430$	−6.38398	−	12.5890i	−0.307863	−	0.607097i
$431$	−3.74772	−	2.16375i	−0.180521	−	0.104224i	0.407016	−	0.913421i	$-0.366569\pi$
$431$	−3.74772	−	2.16375i	−0.180521	−	0.104224i	−0.587538	+	0.809197i	$0.699903\pi$
$432$	−13.0336	−	17.3925i	−0.627078	−	0.836798i
$433$	4.33970			0.208552			0.104276	−	0.994548i	$-0.466747\pi$
$433$	4.33970			0.208552			0.104276	+	0.994548i	$0.466747\pi$
$434$	−1.46443	−	16.9783i	−0.0702948	−	0.814983i
$435$	−29.5942	−	20.5853i	−1.41894	−	0.986991i
$436$	−14.9142	+	9.84287i	−0.714259	+	0.471388i
$437$	1.05366	+	0.608331i	0.0504034	+	0.0291004i
$438$	7.53618	+	4.05582i	0.360093	+	0.193794i
$439$	−4.07497	−	7.05805i	−0.194488	−	0.336862i	0.752245	−	0.658884i	$-0.228971\pi$
$439$	−4.07497	−	7.05805i	−0.194488	−	0.336862i	−0.946732	+	0.322021i	$0.895638\pi$
$440$	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	−0.137385	−	0.990518i	$-0.543870\pi$
$443$	13.7175	−	7.91978i	0.651737	−	0.376280i	0.789121	+	0.614237i	$0.210536\pi$
$444$	−11.5723	+	23.1332i	−0.549199	+	1.09785i
$445$	−7.37824	+	3.46849i	−0.349762	+	0.164422i
$446$	5.20556	+	8.42465i	0.246490	+	0.398919i
$447$			20.0318i			0.947473i
$448$	20.5822	−	4.93701i	0.972416	−	0.233252i
$449$	35.2873			1.66531			0.832656	−	0.553790i	$-0.186819\pi$
$449$	35.2873			1.66531			0.832656	+	0.553790i	$0.186819\pi$
$450$	1.77100	+	1.38028i	0.0834858	+	0.0650671i
$451$	−15.0122	−	8.66730i	−0.706897	−	0.408127i
$452$	−16.6530	−	8.33067i	−0.783293	−	0.391842i
$453$	8.79617	−	5.07847i	0.413280	−	0.238607i
$454$	0.866944	+	29.0094i	0.0406877	+	1.36148i
$455$	0.456202	−	16.2920i	0.0213871	−	0.763782i
$456$	20.5920	−	1.85058i	0.964310	−	0.0866614i
$457$	−8.94810	+	5.16619i	−0.418574	+	0.241664i	−0.694467	−	0.719524i	$-0.744360\pi$
$457$	−8.94810	+	5.16619i	−0.418574	+	0.241664i	0.275893	+	0.961188i	$0.411027\pi$
$458$	−31.1132	−	16.7445i	−1.45382	−	0.782417i
$459$	3.52152	−	6.09945i	0.164370	−	0.284698i
$460$	−1.21877	−	0.0297517i	−0.0568253	−	0.00138718i
$461$	17.9765			0.837247			0.418624	−	0.908160i	$-0.362513\pi$
$461$	17.9765			0.837247			0.418624	+	0.908160i	$0.362513\pi$
$462$	−24.3548	−	11.3932i	−1.13309	−	0.530060i
$463$	10.7604			0.500076			0.250038	−	0.968236i	$-0.419557\pi$
$463$	10.7604			0.500076			0.250038	+	0.968236i	$0.419557\pi$
$464$	−31.5086	+	23.6118i	−1.46275	+	1.09615i
$465$	7.09613	+	15.0950i	0.329075	+	0.700015i
$466$	2.79460	−	5.19268i	0.129457	−	0.240546i
$467$	6.90606	+	11.9616i	0.319574	+	0.553519i	0.980399	−	0.197021i	$-0.0631268\pi$
$467$	6.90606	+	11.9616i	0.319574	+	0.553519i	−0.660825	+	0.750540i	$0.729793\pi$
$468$	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
$472$	4.55492	−	9.82859i	0.209657	−	0.452398i
$473$	16.9608	+	9.79230i	0.779856	+	0.450250i
$474$	−17.3254	−	28.0394i	−0.795784	−	1.28789i
$475$	−20.9218	+	7.76251i	−0.959956	+	0.356168i
$476$	4.09345	+	5.50350i	0.187623	+	0.252253i
$477$	−3.42958			−0.157030
$478$	19.7266	+	31.9255i	0.902275	+	1.46024i
$479$	13.2230	−	22.9030i	0.604176	−	1.04646i	−0.388005	−	0.921657i	$-0.626836\pi$
$479$	13.2230	−	22.9030i	0.604176	−	1.04646i	0.992181	−	0.124807i	$-0.0398310\pi$
$480$	−17.2282	+	11.5058i	−0.786355	+	0.525166i
$481$	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
$485$	0.0443902	+	0.00374466i	0.00201566	+	0.000170036i
$486$	4.09163	+	2.20203i	0.185600	+	0.0998861i
$487$	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	$0.0996683\pi$
$488$	21.9236	−	15.4284i	0.992437	−	0.698410i
$489$		−	21.9409i		−	0.992204i
$490$	18.4959	−	12.1615i	0.835560	−	0.549399i
$491$	−5.89733			−0.266143			−0.133071	−	0.991106i	$-0.542484\pi$
$491$	−5.89733			−0.266143			−0.133071	+	0.991106i	$0.542484\pi$
$492$	10.8012	−	7.12846i	0.486956	−	0.321376i
$493$	−11.0499	−	6.37964i	−0.497661	−	0.287325i
$494$	−15.3118	−	8.24050i	−0.688911	−	0.370758i
$495$	−3.10436	−	0.261877i	−0.139531	−	0.0117705i
$496$	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	$0.916169\pi$
$500$	14.6824	−	16.8650i	0.656615	−	0.754226i
$501$	1.34752	+	0.777990i	0.0602027	+	0.0347580i
$502$	15.9140	+	25.7551i	0.710275	+	1.14950i
$503$			34.0508i			1.51825i	0.650944	+	0.759125i	$0.274373\pi$
$503$			34.0508i			1.51825i	−0.650944	+	0.759125i	$0.725627\pi$
$504$	−1.86346	+	1.47449i	−0.0830053	+	0.0656790i
$505$	−8.38673	+	12.0571i	−0.373205	+	0.536533i
$506$	1.43898	−	0.889143i	0.0639706	−	0.0395272i
$507$	4.43059	−	7.67400i	0.196769	−	0.340815i
$508$	2.58564	−	5.16871i	0.114719	−	0.229324i
$509$	−3.48710	−	6.03983i	−0.154563	−	0.267711i	0.778337	−	0.627847i	$-0.216064\pi$
$509$	−3.48710	−	6.03983i	−0.154563	−	0.267711i	−0.932900	+	0.360136i	$0.882730\pi$
$510$	−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
$514$	−12.2175	−	6.57520i	−0.538890	−	0.290019i
$515$	21.6922	−	10.1974i	0.955873	−	0.449353i
$516$	−12.2032	+	8.05372i	−0.537216	+	0.354545i
$517$			36.5958i			1.60948i
$518$	26.7626	+	12.5196i	1.17588	+	0.550078i
$519$			11.6982i			0.513494i
$520$	17.4235	−	0.0953004i	0.764069	−	0.00417920i
$521$	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	$0.570754\pi$
$522$	2.09487	−	3.89252i	0.0916901	−	0.170371i
$523$	−19.7080	−	34.1352i	−0.861769	−	1.49263i	−0.870220	−	0.492663i	$-0.836024\pi$
$523$	−19.7080	−	34.1352i	−0.861769	−	1.49263i	0.00845156	−	0.999964i	$-0.497310\pi$
$524$	0.0263821	+	0.441002i	0.00115251	+	0.0192652i
$525$	−12.8651	+	17.4333i	−0.561479	+	0.760851i
$526$	0.525151	+	17.5724i	0.0228977	+	0.766195i
$527$	2.95179	+	5.11266i	0.128582	+	0.222711i
$528$	11.3019	−	26.4293i	0.491853	−	1.15019i
$529$	11.4628	−	19.8542i	0.498384	−	0.863227i
$530$	−1.85305	+	34.1037i	−0.0804913	+	1.48137i
$531$			1.21617i			0.0527773i
$532$	−2.73140	−	23.4579i	−0.118421	−	1.01703i
$533$	−10.8842			−0.471448
$534$	4.43914	+	7.18428i	0.192101	+	0.310894i
$535$	−6.90619	+	3.24658i	−0.298581	+	0.140362i
$536$	−11.4368	+	24.6782i	−0.493993	+	1.06594i
$537$	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	−0.989438	−	0.144959i	$-0.953695\pi$
$541$	−31.6007	+	18.2447i	−1.35862	+	0.784399i	−0.369181	+	0.929358i	$0.620362\pi$
$542$	−33.3723	−	17.9603i	−1.43346	−	0.771460i
$543$	13.4773	−	23.3433i	0.578365	−	1.00176i
$544$	−5.73378	+	4.57048i	−0.245834	+	0.195958i
$545$	−16.4010	−	11.4083i	−0.702542	−	0.488678i
$546$	−16.8202	+	1.45080i	−0.719840	+	0.0620884i
$547$			2.03370i			0.0869549i	0.999054	+	0.0434775i	$0.0138437\pi$
$547$			2.03370i			0.0869549i	−0.999054	+	0.0434775i	$0.986156\pi$
$548$	−3.50228	+	2.31139i	−0.149610	+	0.0987378i
$549$	−1.50485	+	2.60648i	−0.0642255	+	0.111242i
$550$	−4.28143	+	30.7282i	−0.182561	+	1.31026i
$551$	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
$555$	−28.8170	−	2.43094i	−1.22321	−	0.103187i
$556$	−28.7614	−	14.3879i	−1.21976	−	0.610182i
$557$	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	$-0.00660877\pi$
$558$	−1.73993	+	1.07510i	−0.0736571	+	0.0455125i
$559$	12.2970			0.520107
$560$	13.6554	+	19.3269i	0.577047	+	0.816711i
$561$	9.31475			0.393269
$562$	−29.2581	+	18.0785i	−1.23418	+	0.762595i
$563$	−14.5272	+	25.1619i	−0.612250	+	1.06045i	0.378610	+	0.925556i	$0.376402\pi$
$563$	−14.5272	+	25.1619i	−0.612250	+	1.06045i	−0.990860	+	0.134892i	$0.956931\pi$
$564$	−24.4345	−	12.2233i	−1.02888	−	0.514694i
$565$	1.74998	−	20.7447i	0.0736220	−	0.872736i
$566$	−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	$0.988691\pi$
$570$	10.4545	+	20.6161i	0.437893	+	0.863513i
$571$	−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	$0.816798\pi$
$572$	−20.1771	+	13.3162i	−0.843646	+	0.556779i
$573$		−	26.3022i		−	1.09879i
$574$	−8.46409	−	12.1196i	−0.353284	−	0.505861i
$575$	−0.474136	−	1.27791i	−0.0197728	−	0.0532924i
$576$	−1.64207	−	1.93827i	−0.0684194	−	0.0807613i
$577$	−16.2853	+	28.2069i	−0.677965	+	1.17427i	0.297628	+	0.954682i	$0.403805\pi$
$577$	−16.2853	+	28.2069i	−0.677965	+	1.17427i	−0.975593	+	0.219588i	$0.929529\pi$
$578$	19.0781	+	10.2674i	0.793544	+	0.427069i
$579$	−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
$584$	9.48202	+	4.39431i	0.392369	+	0.181838i
$585$	−1.77027	+	0.832199i	−0.0731917	+	0.0344072i
$586$	−10.0837	−	16.3194i	−0.416554	−	0.674148i
$587$	−21.4007			−0.883301			−0.441650	−	0.897187i	$-0.645607\pi$
$587$	−21.4007			−0.883301			−0.441650	+	0.897187i	$0.645607\pi$
$588$	−14.6957	−	17.6011i	−0.606039	−	0.725858i
$589$		−	20.3270i		−	0.837559i
$590$	12.0935	+	0.657113i	0.497884	+	0.0270529i
$591$	−3.82535	+	6.62569i	−0.157354	+	0.272545i
$592$	−12.4193	+	29.0422i	−0.510428	+	1.19363i
$593$	3.83778	+	6.64723i	0.157599	+	0.272969i	0.934002	−	0.357267i	$-0.116291\pi$
$593$	3.83778	+	6.64723i	0.157599	+	0.272969i	−0.776403	+	0.630236i	$0.782958\pi$
$594$	1.00712	+	33.7001i	0.0413228	+	1.38273i
$595$	−4.01864	+	6.53120i	−0.164748	+	0.267753i
$596$	1.46076	+	24.4179i	0.0598350	+	1.00020i
$597$	9.55079	+	16.5425i	0.390888	+	0.677038i
$598$	0.503332	−	0.935250i	0.0205828	−	0.0382452i
$599$	−26.5598	−	15.3343i	−1.08520	−	0.626543i	−0.152909	−	0.988240i	$-0.548864\pi$
$599$	−26.5598	−	15.3343i	−1.08520	−	0.626543i	−0.932296	+	0.361697i	$0.882197\pi$
$600$	−19.0867	−	13.1221i	−0.779211	−	0.535708i
$601$		−	4.23258i		−	0.172650i	−0.996267	−	0.0863252i	$-0.972488\pi$
$601$		−	4.23258i		−	0.172650i	0.996267	−	0.0863252i	$-0.0275124\pi$
$602$	9.56271	+	13.6927i	0.389747	+	0.558072i
$603$		−	3.05363i		−	0.124353i
$604$	10.3518	−	6.83186i	0.421209	−	0.277985i
$605$	−7.84921	−	16.6970i	−0.319116	−	0.678830i
$606$	13.3967	+	7.20984i	0.544204	+	0.292880i
$607$	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
$612$	0.368295	−	0.736223i	0.0148874	−	0.0297600i
$613$	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	$-0.0556678\pi$
$614$	24.2506	−	14.9844i	0.978676	−	0.604720i
$615$	11.8780	+	8.26219i	0.478968	+	0.333164i
$616$	−30.5182	−	12.1118i	−1.22962	−	0.487999i
$617$			23.7720i			0.957025i	0.878081	+	0.478513i	$0.158824\pi$
$617$			23.7720i			0.957025i	−0.878081	+	0.478513i	$0.841176\pi$
$618$	−13.0512	−	21.1220i	−0.524996	−	0.849650i
$619$	−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	$0.763225\pi$
$620$	9.75062	+	17.8827i	0.391594	+	0.718187i
$621$	−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
$625$	23.5968	+	8.25779i	0.943872	+	0.330312i
$626$	33.3493	+	17.9479i	1.33290	+	0.717342i
$627$	−27.7753	−	16.0361i	−1.10924	−	0.640419i
$628$	−16.2875	+	10.7492i	−0.649943	+	0.428942i
$629$	−10.2356			−0.408121
$630$	−2.30330	−	1.32404i	−0.0917657	−	0.0527510i
$631$		−	13.4670i		−	0.536112i	−0.963403	−	0.268056i	$-0.913619\pi$
$631$		−	13.4670i		−	0.536112i	0.963403	−	0.268056i	$-0.0863812\pi$
$632$	−23.1636	−	32.9154i	−0.921400	−	1.30930i
$633$	12.1027	−	20.9624i	0.481038	−	0.833182i
$634$	38.3370	+	20.6322i	1.52256	+	0.819408i
$635$	6.43866	+	0.543151i	0.255510	+	0.0215543i
$636$	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
$640$	−20.1613	+	15.2814i	−0.796947	+	0.604049i
$641$	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	$-0.0822221\pi$
$642$	4.15514	+	6.72465i	0.163990	+	0.265401i
$643$	18.9130			0.745857			0.372929	−	0.927860i	$-0.378354\pi$
$643$	18.9130			0.745857			0.372929	+	0.927860i	$0.378354\pi$
$644$	1.43281	−	0.166834i	0.0564608	−	0.00657420i
$645$	−13.4198	−	9.33461i	−0.528403	−	0.367550i
$646$	4.30051	+	6.95993i	0.169201	+	0.273835i
$647$	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	$0.514541\pi$
$648$	−20.3927	−	9.45073i	−0.801103	−	0.371260i
$649$	−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	$0.638133\pi$
$654$	−9.80741	+	18.2233i	−0.383500	+	0.712587i
$655$	−0.447007	+	0.210137i	−0.0174660	+	0.00821072i
$656$	12.6464	−	9.47691i	0.493758	−	0.370011i
$657$	−1.17329			−0.0457742
$658$	−13.2238	+	28.2680i	−0.515518	+	1.10200i
$659$	33.7483			1.31465			0.657323	−	0.753609i	$-0.271689\pi$
$659$	33.7483			1.31465			0.657323	+	0.753609i	$0.271689\pi$
$660$	32.1277	+	0.784277i	1.25057	+	0.0305280i
$661$	−21.6521	+	37.5025i	−0.842168	+	1.45868i	0.0458899	+	0.998947i	$0.485388\pi$
$661$	−21.6521	+	37.5025i	−0.842168	+	1.45868i	−0.888058	+	0.459731i	$0.847946\pi$
$662$	−5.73505	−	3.08649i	−0.222899	−	0.119960i
$663$	5.06507	−	2.92432i	0.196711	−	0.113571i
$664$	3.24950	+	36.1583i	0.126105	+	1.40321i
$665$	23.2270	−	12.5567i	0.900706	−	0.486929i
$666$	−0.105928	−	3.54453i	−0.00410462	−	0.137348i
$667$	−2.32389	+	1.34170i	−0.0899813	+	0.0519507i
$668$	1.69930	+	0.850071i	0.0657477	+	0.0328902i
$669$	9.93244	+	5.73450i	0.384010	+	0.221708i
$670$	−30.3652	−	1.64992i	−1.17311	−	0.0637419i
$671$	−41.5863			−1.60542
$672$	18.2802	−	16.3311i	0.705174	−	0.629986i
$673$			8.11472i			0.312799i	0.987694	+	0.156400i	$0.0499888\pi$
$673$			8.11472i			0.312799i	−0.987694	+	0.156400i	$0.950011\pi$
$674$	−9.14132	−	14.7943i	−0.352110	−	0.569853i
$675$	26.7838	+	4.55122i	1.03091	+	0.175177i
$676$	4.84109	−	9.67735i	0.186196	−	0.372206i
$677$	−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
$682$	−24.8856	−	13.3929i	−0.952917	−	0.512840i
$683$	−20.0699	−	11.5874i	−0.767954	−	0.443378i	0.0641905	−	0.997938i	$-0.479553\pi$
$683$	−20.0699	−	11.5874i	−0.767954	−	0.443378i	−0.832144	+	0.554559i	$0.812887\pi$
$684$	−2.36567	+	1.56127i	−0.0904537	+	0.0596965i
$685$	−3.85144	−	2.67900i	−0.147156	−	0.102359i
$686$	−19.6570	+	17.3090i	−0.750507	+	0.660862i
$687$	−40.9194			−1.56117
$688$	−14.2879	+	10.7070i	−0.544719	+	0.408201i
$689$	−25.7681	−	14.8772i	−0.981687	−	0.566777i
$690$	−1.25924	+	0.638566i	−0.0479383	+	0.0243098i
$691$	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
$695$	3.02238	−	35.8281i	0.114645	−	1.35904i
$696$	−19.1736	+	41.3726i	−0.726772	+	1.56823i
$697$	4.43501	+	2.56055i	0.167988	+	0.0969878i
$698$	18.4376	−	11.3925i	0.697872	−	0.431213i
$699$		−	6.82932i		−	0.258308i
$700$	−14.4107	+	22.1885i	−0.544673	+	0.838648i
$701$			13.3928i			0.505839i	0.967487	+	0.252919i	$0.0813907\pi$
$701$			13.3928i			0.505839i	−0.967487	+	0.252919i	$0.918609\pi$
$702$	11.1276	+	18.0089i	0.419985	+	0.679702i
$703$	30.5212	+	17.6214i	1.15113	+	0.664605i
$704$	11.8493	−	33.0403i	0.446586	−	1.24525i
$705$	2.56768	−	30.4380i	0.0967044	−	1.14636i
$706$	−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	0.0401274	−	0.999195i	$-0.487224\pi$
$709$	24.6438	−	14.2281i	0.925519	−	0.534349i	0.885392	+	0.464846i	$0.153890\pi$
$710$	2.03158	+	4.00621i	0.0762437	+	0.150351i
$711$	3.91327	+	2.25933i	0.146759	+	0.0847315i
$712$	5.93501	+	8.43361i	0.222424	+	0.316063i
$713$	1.24158			0.0464975
$714$	7.19507	+	3.36586i	0.269269	+	0.125964i
$715$	−22.1886	−	15.4341i	−0.829807	−	0.577202i
$716$	3.46820	+	5.25510i	0.129613	+	0.196392i
$717$	37.6393	+	21.7310i	1.40566	+	0.811561i
$718$	2.38987	−	4.44066i	0.0891892	−	0.165724i
$719$	9.06118	+	15.6944i	0.337925	+	0.585303i	0.984042	−	0.177935i	$-0.0569416\pi$
$719$	9.06118	+	15.6944i	0.337925	+	0.585303i	−0.646117	+	0.763238i	$0.723608\pi$
$720$	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
$724$	14.7259	−	29.4372i	0.547285	−	1.09403i
$725$	8.24507	−	48.5219i	0.306214	−	1.80206i
$726$	−16.2581	+	10.0458i	−0.603394	+	0.372835i
$727$			29.8811i			1.10823i	0.832441	+	0.554114i	$0.186943\pi$
$727$			29.8811i			1.10823i	−0.832441	+	0.554114i	$0.813057\pi$
$728$	−20.3973	+	2.99502i	−0.755975	+	0.111003i
$729$	29.2209			1.08225
$730$	−0.633942	+	11.6671i	−0.0234632	+	0.431819i
$731$	−5.01066	−	2.89291i	−0.185326	−	0.106998i
$732$	13.8902	−	27.7665i	0.513396	−	1.02628i
$733$	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
$735$	12.1876	−	22.5536i	0.449545	−	0.831903i
$736$	0.229502	+	1.52492i	0.00845956	+	0.0562093i
$737$	36.5405	−	21.0966i	1.34599	−	0.777105i
$738$	−0.840804	+	1.56231i	−0.0309504	+	0.0575095i
$739$	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	$0.141792\pi$
$740$	−35.3039	−	0.861812i	−1.29780	−	0.0316809i
$741$	−20.1378			−0.739780
$742$	−3.47273	−	40.2620i	−0.127488	−	1.47807i
$743$	−30.6848			−1.12571			−0.562857	−	0.826554i	$-0.690298\pi$
$743$	−30.6848			−1.12571			−0.562857	+	0.826554i	$0.690298\pi$
$744$	17.2542	−	12.1423i	0.632570	−	0.445160i
$745$	−24.7504	+	11.6351i	−0.906786	+	0.426277i
$746$	−7.36863	−	3.96565i	−0.269785	−	0.145193i
$747$	−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	−0.213155	−	0.977018i	$-0.568374\pi$
$751$	14.4254	−	8.32852i	0.526391	−	0.303912i	0.739546	+	0.673107i	$0.235040\pi$
$752$	−30.6759	−	13.1179i	−1.11863	−	0.478359i
$753$	30.3645	+	17.5310i	1.10655	+	0.638864i
$754$	32.6252	−	20.1590i	1.18814	−	0.734147i
$755$	11.3838	+	7.91842i	0.414300	+	0.288181i
$756$	−11.3995	+	26.3952i	−0.414596	+	0.959983i
$757$	−19.7599			−0.718184			−0.359092	−	0.933302i	$-0.616914\pi$
$757$	−19.7599			−0.718184			−0.359092	+	0.933302i	$0.616914\pi$
$758$	12.1414	−	7.50211i	0.440994	−	0.272489i
$759$	0.979488	−	1.69652i	0.0355532	−	0.0615799i
$760$	14.2470	+	24.3677i	0.516792	+	0.883910i
$761$	−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
$765$	0.917113	+	0.0773655i	0.0331583	+	0.00279716i
$766$	−14.2209	+	26.4241i	−0.513823	+	0.954743i
$767$	−5.27564	+	9.13767i	−0.190492	+	0.329942i
$768$	18.1027	+	18.9473i	0.653226	+	0.683702i
$769$			32.4947i			1.17179i	0.810387	+	0.585895i	$0.199257\pi$
$769$			32.4947i			1.17179i	−0.810387	+	0.585895i	$0.800743\pi$
$770$	−0.0690775	−	36.7093i	−0.00248938	−	1.32291i
$771$	−16.0682			−0.578681
$772$	−27.4931	+	18.1446i	−0.989499	+	0.653038i
$773$	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	$0.558939\pi$
$774$	0.949939	−	1.76510i	0.0341449	−	0.0634451i
$775$	−14.5291	+	17.5353i	−0.521900	+	0.629887i
$776$	−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
$780$	17.7163	−	9.65986i	0.634344	−	0.345879i
$781$	−5.39743	−	3.11621i	−0.193135	−	0.111507i
$782$	−0.425114	+	0.262677i	−0.0152021	+	0.00939329i
$783$		−	53.4850i		−	1.91140i
$784$	−19.1969	−	20.3833i	−0.685603	−	0.727976i
$785$	−17.9113	−	12.4588i	−0.639282	−	0.444675i
$786$	0.268944	+	0.435257i	0.00959290	+	0.0155251i
$787$	1.45087	−	2.51298i	0.0517179	−	0.0895780i	−0.839007	−	0.544120i	$-0.816864\pi$
$787$	1.45087	−	2.51298i	0.0517179	−	0.0895780i	0.890725	+	0.454542i	$0.150197\pi$
$788$	−4.17977	+	8.35537i	−0.148898	+	0.297648i
$789$	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
$794$	5.85669	−	10.8824i	0.207846	−	0.386202i
$795$	16.8277	+	35.7962i	0.596816	+	1.26956i
$796$	12.8483	+	19.4681i	0.455396	+	0.690027i
$797$		−	20.9944i		−	0.743659i	−0.928301	−	0.371829i	$-0.878731\pi$
$797$		−	20.9944i		−	0.743659i	0.928301	−	0.371829i	$-0.121269\pi$
$798$	−15.6601	−	22.4234i	−0.554362	−	0.793780i
$799$		−	10.8114i		−	0.382480i
$800$	−24.2227	−	14.6034i	−0.856402	−	0.516309i
$801$	−1.00266	−	0.578887i	−0.0354273	−	0.0204540i
$802$	−31.6698	−	17.0441i	−1.11830	−	0.601847i
$803$	−8.10589	−	14.0398i	−0.286051	−	0.495454i
$804$	1.88108	+	31.4439i	0.0663405	+	1.10894i
$805$	0.766969	+	1.41871i	0.0270321	+	0.0500031i
$806$	−17.7366	+	0.530057i	−0.624746	+	0.0186705i
$807$	5.70485	+	9.88109i	0.200820	+	0.347831i
$808$	16.8557	+	7.81156i	0.592983	+	0.274810i
$809$	−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	$0.914751\pi$
$810$	1.36340	−	25.0922i	0.0479051	−	0.881649i
$811$		−	25.9549i		−	0.911401i	−0.890133	−	0.455701i	$-0.849389\pi$
$811$		−	25.9549i		−	0.911401i	0.890133	−	0.455701i	$-0.150611\pi$
$812$	47.8179	+	20.6515i	1.67808	+	0.724727i
$813$	−43.8906			−1.53931
$814$	41.6828	−	25.7557i	1.46098	−	0.902736i
$815$	27.1093	−	12.7440i	0.949596	−	0.446402i
$816$	−3.33889	+	7.80793i	−0.116885	+	0.273332i
$817$	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	−0.351062	−	0.936352i	$-0.614179\pi$
$821$	8.14642	−	4.70334i	0.284312	−	0.164148i	0.635374	+	0.772205i	$0.280846\pi$
$822$	−2.30306	+	4.27936i	−0.0803286	+	0.149260i
$823$	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	$0.0327023\pi$
$824$	−17.4491	−	24.7950i	−0.607867	−	0.863776i
$825$	12.4986	+	33.6866i	0.435146	+	1.17282i
$826$	−14.2774	+	1.23147i	−0.496773	+	0.0428483i
$827$		−	21.4901i		−	0.747285i	−0.927573	−	0.373642i	$-0.878109\pi$
$827$		−	21.4901i		−	0.747285i	0.927573	−	0.373642i	$-0.121891\pi$
$828$	−0.0953626	−	0.144496i	−0.00331408	−	0.00502158i
$829$	11.6683	−	20.2101i	0.405256	−	0.701925i	−0.589095	−	0.808064i	$-0.700516\pi$
$829$	11.6683	−	20.2101i	0.405256	−	0.701925i	0.994351	+	0.106139i	$0.0338489\pi$
$830$	−36.2005	+	18.3575i	−1.25654	+	0.637199i
$831$	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
$835$	−0.178570	+	2.11681i	−0.00617965	+	0.0732553i
$836$	−35.0262	−	17.5218i	−1.21141	−	0.606005i
$837$	−12.3735	+	21.4315i	−0.427690	+	0.740780i
$838$	−9.33811	−	15.1127i	−0.322580	−	0.522061i
$839$	−47.9666			−1.65599			−0.827995	−	0.560735i	$-0.810519\pi$
$839$	−47.9666			−1.65599			−0.827995	+	0.560735i	$0.810519\pi$
$840$	24.5333	+	12.2151i	0.846478	+	0.421460i
$841$	−67.8943			−2.34118
$842$	−2.96393	−	4.79680i	−0.102144	−	0.165309i
$843$	−19.9154	+	34.4945i	−0.685924	+	1.18806i
$844$	13.2240	−	26.4348i	0.455188	−	0.909924i
$845$	12.0551	+	1.01694i	0.414707	+	0.0349838i
$846$	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
$850$	1.26485	−	9.07793i	0.0433839	−	0.311371i
$851$	−1.07632	+	1.86424i	−0.0368958	+	0.0639055i
$852$	3.88343	−	2.56294i	0.133044	−	0.0878048i
$853$			12.6214i			0.432149i	0.976377	+	0.216075i	$0.0693255\pi$
$853$			12.6214i			0.432149i	−0.976377	+	0.216075i	$0.930675\pi$
$854$	−32.1229	−	15.0271i	−1.09922	−	0.514217i
$855$	−2.60151	−	1.80958i	−0.0889699	−	0.0618862i
$856$	5.55530	+	7.89404i	0.189876	+	0.269813i
$857$	−0.489774	+	0.848313i	−0.0167303	+	0.0289778i	−0.874269	−	0.485441i	$-0.838659\pi$
$857$	−0.489774	+	0.848313i	−0.0167303	+	0.0289778i	0.857539	+	0.514419i	$0.171992\pi$
$858$	−13.2682	+	24.6539i	−0.452970	+	0.841671i
$859$	−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	$0.766734\pi$
$864$	−28.6096	−	11.2357i	−0.973317	−	0.382245i
$865$	−14.4538	+	6.79467i	−0.491443	+	0.231026i
$866$	5.22098	−	3.22603i	0.177416	−	0.109625i
$867$	25.0911			0.852140
$868$	−14.3831	−	19.3375i	−0.488193	−	0.656358i
$869$			62.4362i			2.11800i
$870$	−50.9068	−	2.76606i	−1.72590	−	0.0937782i
$871$	13.2464	−	22.9434i	0.448836	−	0.777407i
$872$	−10.6259	+	22.9286i	−0.359839	+	0.776459i
$873$	0.00316310	+	0.00547864i	0.000107055	+	0.000185424i
$874$	1.71985	−	0.0513976i	0.0581748	−	0.00173855i
$875$	−29.0122	−	5.76974i	−0.980793	−	0.195053i
$876$	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	$-0.410836\pi$
$878$	−10.1493	−	5.46214i	−0.342522	−	0.184338i
$879$	−19.2401	−	11.1083i	−0.648954	−	0.374674i
$880$	39.2194	−	1.38681i	1.32209	−	0.0467494i
$881$			13.8734i			0.467407i	0.972308	+	0.233704i	$0.0750846\pi$
$881$			13.8734i			0.467407i	−0.972308	+	0.233704i	$0.924915\pi$
$882$	2.91763	+	1.17006i	0.0982416	+	0.0393979i
$883$			40.4927i			1.36269i	0.731963	+	0.681344i	$0.238604\pi$
$883$			40.4927i			1.36269i	−0.731963	+	0.681344i	$0.761396\pi$
$884$	5.96085	−	3.93397i	0.200485	−	0.132314i
$885$	12.6937	−	5.96728i	0.426695	−	0.200588i
$886$	10.6158	−	19.7253i	0.356644	−	0.662686i
$887$	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
$892$	12.5254	+	6.26580i	0.419380	+	0.209795i
$893$	−18.6127	+	32.2381i	−0.622849	+	1.07881i
$894$	14.8912	+	24.0998i	0.498036	+	0.806018i
$895$	−4.01979	+	5.77900i	−0.134367	+	0.193171i
$896$	21.0919	−	21.2399i	0.704630	−	0.709575i
$897$		−	1.23002i		−	0.0410692i
$898$	42.4534	−	26.2318i	1.41669	−	0.875366i
$899$	38.8256	+	22.4160i	1.29491	+	0.747615i
$900$	3.15672	+	0.344061i	0.105224	+	0.0114687i
$901$	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
$905$	36.6700	+	3.09339i	1.21895	+	0.102828i
$906$	6.80725	−	12.6487i	0.226156	−	0.420223i
$907$	8.49106	+	4.90232i	0.281941	+	0.162779i	0.634302	−	0.773085i	$-0.281288\pi$
$907$	8.49106	+	4.90232i	0.281941	+	0.162779i	−0.352361	+	0.935864i	$0.614621\pi$
$908$	22.6079	+	34.2561i	0.750270	+	1.13683i
$909$	−2.08569			−0.0691781
$910$	−11.5623	−	19.9397i	−0.383285	−	0.660993i
$911$			37.9772i			1.25824i	0.777307	+	0.629121i	$0.216585\pi$
$911$			37.9772i			1.25824i	−0.777307	+	0.629121i	$0.783415\pi$
$912$	23.3981	−	17.5340i	0.774788	−	0.580609i
$913$	28.1583	−	48.7717i	0.931905	−	1.61411i
$914$	−6.92482	+	12.8671i	−0.229053	+	0.425607i
$915$	34.5888	+	2.91783i	1.14347	+	0.0964604i
$916$	−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	−0.923032	−	0.384723i	$-0.874297\pi$
$919$	−31.8722	+	18.4014i	−1.05137	+	0.607008i	−0.128336	+	0.991731i	$0.540964\pi$
$920$	−1.48839	+	0.870210i	−0.0490707	+	0.0286900i
$921$	16.5069	−	28.5909i	0.543922	−	0.942101i
$922$	21.6271	−	13.3633i	0.712249	−	0.440096i
$923$	−3.91327			−0.128807
$924$	−37.7701	+	4.39789i	−1.24255	+	0.144680i
$925$	−13.7342	−	37.0170i	−0.451579	−	1.21711i
$926$	12.9455	−	7.99899i	0.425416	−	0.262863i
$927$	2.94785	+	1.70194i	0.0968202	+	0.0558992i
$928$	−20.3547	+	51.8296i	−0.668177	+	1.70139i
$929$	−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
$934$	17.2005	+	9.25696i	0.562818	+	0.302897i
$935$	5.41029	+	11.5089i	0.176935	+	0.376381i
$936$	1.42400	+	2.02349i	0.0465447	+	0.0661398i
$937$	−35.4048			−1.15663			−0.578313	−	0.815815i	$-0.696289\pi$
$937$	−35.4048			−1.15663			−0.578313	+	0.815815i	$0.696289\pi$
$938$	35.8485	−	3.09204i	1.17049	−	0.100959i
$939$	43.8603			1.43133
$940$	0.910291	−	37.2898i	0.0296904	−	1.21626i
$941$	28.1702	−	48.7923i	0.918323	−	1.59058i	0.116362	−	0.993207i	$-0.462877\pi$
$941$	28.1702	−	48.7923i	0.918323	−	1.59058i	0.801961	−	0.597376i	$-0.203790\pi$
$942$	−10.7105	+	19.9014i	−0.348967	+	0.648422i
$943$	0.932722	−	0.538507i	0.0303736	−	0.0175362i
$944$	−1.82643	−	15.2106i	−0.0594451	−	0.495062i
$945$	−32.1327	−	0.899766i	−1.04528	−	0.0292694i
$946$	27.6844	−	0.827347i	0.900099	−	0.0268994i
$947$	−23.6105	+	13.6315i	−0.767238	+	0.442965i	−0.831888	−	0.554943i	$-0.812740\pi$
$947$	−23.6105	+	13.6315i	−0.767238	+	0.442965i	0.0646505	+	0.997908i	$0.479407\pi$
$948$	−41.6877	−	20.8542i	−1.35395	−	0.677313i
$949$	−8.81546	−	5.08961i	−0.286162	−	0.165216i
$950$	−19.4000	+	24.8916i	−0.629419	+	0.807591i
$951$	50.4200			1.63498
$952$	9.01591	+	3.57816i	0.292207	+	0.115969i
$953$		−	50.6486i		−	1.64067i	−0.571884	−	0.820334i	$-0.693787\pi$
$953$		−	50.6486i		−	1.64067i	0.571884	−	0.820334i	$-0.306213\pi$
$954$	−4.12605	+	2.54947i	−0.133586	+	0.0825422i
$955$	32.4979	−	15.2771i	1.05161	−	0.494357i
$956$	47.4653	+	23.7444i	1.53514	+	0.767950i
$957$	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
$962$	14.5800	−	27.0913i	0.470077	−	0.873457i
$963$	−0.938514	−	0.541851i	−0.0302432	−	0.0174609i
$964$	50.4854	−	33.3188i	1.62603	−	1.07313i
$965$	−30.2340	−	21.0304i	−0.973268	−	0.676991i
$966$	1.36963	−	0.956523i	0.0440671	−	0.0307756i
$967$	13.9730			0.449342			0.224671	−	0.974435i	$-0.427869\pi$
$967$	13.9730			0.449342			0.224671	+	0.974435i	$0.427869\pi$
$968$	−19.0853	+	13.4310i	−0.613425	+	0.431688i
$969$	8.20557	+	4.73749i	0.263601	+	0.152190i
$970$	0.0561885	−	0.0284935i	0.00180410	−	0.000914872i
$971$	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
$975$	17.3721	+	14.3939i	0.556353	+	0.460973i
$976$	14.9067	−	34.8590i	0.477152	−	1.11581i
$977$	−24.4933	−	14.1412i	−0.783610	−	0.452417i	0.0540981	−	0.998536i	$-0.482772\pi$
$977$	−24.4933	−	14.1412i	−0.783610	−	0.452417i	−0.837708	+	0.546118i	$0.816105\pi$
$978$	−16.3104	−	26.3966i	−0.521548	−	0.844071i
$979$		−	15.9975i		−	0.511281i
$980$	13.2114	−	28.3806i	0.422024	−	0.906585i
$981$		−	2.83713i		−	0.0905826i
$982$	−7.09494	+	4.38394i	−0.226409	+	0.139897i
$983$	−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	$0.759768\pi$
$984$	7.69555	−	16.6054i	0.245325	−	0.529362i
$985$	−10.4083	−	0.878019i	−0.331636	−	0.0279760i
$986$	−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
$990$	−3.92946	+	1.99265i	−0.124886	+	0.0633307i
$991$	−18.3274	−	10.5813i	−0.582188	−	0.336126i	0.179814	−	0.983701i	$-0.442450\pi$
$991$	−18.3274	−	10.5813i	−0.582188	−	0.336126i	−0.762002	+	0.647574i	$0.775784\pi$
$992$	20.1467	−	16.0592i	0.639657	−	0.509880i
$993$	−7.54262			−0.239358
$994$	−3.04314	−	4.35742i	−0.0965227	−	0.138209i
$995$	−14.8917	+	21.4089i	−0.472100	+	0.678708i
$996$	23.1590	+	35.0910i	0.733820	+	1.11190i
$997$	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	$0.649114\pi$
$998$	−14.3158	−	7.70445i	−0.453157	−	0.243880i
$999$	−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.59.32	yes	80
4.3	odd	2		1120.2.bq.b.1039.14		80
5.4	even	2	inner	280.2.ba.b.59.9	yes	80
7.5	odd	6	inner	280.2.ba.b.19.7	✓	80
8.3	odd	2	inner	280.2.ba.b.59.34	yes	80
8.5	even	2		1120.2.bq.b.1039.13		80
20.19	odd	2		1120.2.bq.b.1039.27		80
28.19	even	6		1120.2.bq.b.719.28		80
35.19	odd	6	inner	280.2.ba.b.19.34	yes	80
40.19	odd	2	inner	280.2.ba.b.59.7	yes	80
40.29	even	2		1120.2.bq.b.1039.28		80
56.5	odd	6		1120.2.bq.b.719.27		80
56.19	even	6	inner	280.2.ba.b.19.9	yes	80
140.19	even	6		1120.2.bq.b.719.13		80
280.19	even	6	inner	280.2.ba.b.19.32	yes	80
280.229	odd	6		1120.2.bq.b.719.14		80

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

\(f(q)\)	\(=\)	\(q+(1.20308 - 0.743376i) q^{2} +(0.818911 - 1.41839i) q^{3} +(0.894783 - 1.78868i) q^{4} +(2.22815 + 0.187962i) q^{5} +(-0.0691894 - 2.31520i) q^{6} +(-2.64158 + 0.148518i) q^{7} +(-0.253167 - 2.81707i) q^{8} +(0.158771 + 0.274999i) q^{9} +O(q^{10})\)	\(q+(1.20308 - 0.743376i) q^{2} +(0.818911 - 1.41839i) q^{3} +(0.894783 - 1.78868i) q^{4} +(2.22815 + 0.187962i) 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} +(2.82036 - 1.43022i) q^{10} +(-2.19380 + 3.79978i) q^{11} +(-1.80430 - 2.73392i) q^{12} +2.75493i q^{13} +(-3.06762 + 2.14237i) q^{14} +(2.09126 - 3.00648i) q^{15} +(-2.39873 - 3.20096i) q^{16} +(0.648108 - 1.12256i) q^{17} +(0.395441 + 0.212818i) 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} +(-4.20304 - 1.94784i) q^{24} +(4.92934 + 0.837616i) q^{25} +(2.04795 + 3.31439i) q^{26} +5.43354 q^{27} +(-2.09799 + 4.85782i) q^{28} -9.84349i q^{29} +(0.281004 - 5.17162i) q^{30} +(-2.27724 + 3.94429i) q^{31} +(-5.26536 - 2.06784i) q^{32} +(3.59306 + 6.22335i) q^{33} +(-0.0547583 - 1.83231i) q^{34} +(-5.91376 - 0.165595i) q^{35} +(0.633949 - 0.0379249i) q^{36} +(-3.94827 - 6.83861i) q^{37} +(-2.99118 + 5.55796i) q^{38} +(3.90758 + 2.25604i) q^{39} +(-0.0345926 - 6.32446i) q^{40} +3.95081i q^{41} +(0.526618 + 6.10550i) q^{42} -4.46362i q^{43} +(4.83359 + 7.32398i) q^{44} +(0.302076 + 0.642583i) q^{45} +(-0.339482 - 0.182702i) 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} +(4.92768 + 2.46507i) q^{52} +(-5.40022 + 9.35345i) q^{53} +(6.53696 - 4.03916i) q^{54} +(-5.60234 + 8.05413i) q^{55} +(1.08715 + 7.40393i) q^{56} +7.30972i q^{57} +(-7.31742 - 11.8425i) q^{58} +(3.31684 + 1.91498i) q^{59} +(-3.50639 - 6.43074i) 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} +(-0.517823 + 6.13841i) q^{65} +(8.94901 + 4.81618i) q^{66} +(-8.32812 - 4.80824i) q^{67} +(-1.42797 - 2.16370i) q^{68} -0.446480 q^{69} +(-7.23780 + 4.19693i) q^{70} +1.42046i q^{71} +(0.734497 - 0.516889i) q^{72} +(-1.84745 + 3.19988i) q^{73} +(-9.83373 - 5.29231i) q^{74} +(5.22476 - 6.30582i) 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} +(-4.74307 - 7.58309i) q^{80} +(3.97327 - 6.88191i) q^{81} +(2.93694 + 4.75313i) q^{82} -12.8354 q^{83} +(5.17224 + 6.95390i) q^{84} +(1.65508 - 2.37941i) q^{85} +(-3.31815 - 5.37007i) q^{86} +(-13.9620 - 8.06094i) q^{87} +(11.2596 + 5.21812i) 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} +(5.59001 - 10.3869i) q^{94} +(-9.03157 + 4.24571i) q^{95} +(-7.24487 + 5.77499i) q^{96} +0.0199224 q^{97} +(7.78517 - 6.11483i) 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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