LMFDB - Embedded newform 280.2.ba.b.19.8

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			19.8
Character	$\chi$	$=$	280.19
Dual form			280.2.ba.b.59.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.21328 + 0.726608i) q^{2} +(0.0769760 + 0.133326i) q^{3} +(0.944081 - 1.76315i) q^{4} +(-1.85193 + 1.25314i) q^{5} +(-0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 + 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +O(q^{10})$	\(q+(-1.21328 + 0.726608i) q^{2} +(0.0769760 + 0.133326i) q^{3} +(0.944081 - 1.76315i) q^{4} +(-1.85193 + 1.25314i) q^{5} +(-0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 + 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +(1.33636 - 2.86603i) q^{10} +(-0.717757 - 1.24319i) q^{11} +(0.307746 - 0.00984967i) q^{12} -1.09056i q^{13} +(3.73638 - 0.198637i) q^{14} +(-0.309630 - 0.150449i) q^{15} +(-2.21742 - 3.32912i) q^{16} +(-1.65673 - 2.86954i) q^{17} +(0.0673323 + 4.20858i) q^{18} +(-3.25444 - 1.87895i) q^{19} +(0.461106 + 4.44830i) q^{20} +(-0.0151144 - 0.407038i) q^{21} +(1.77415 + 0.986807i) q^{22} +(1.01985 - 1.76643i) q^{23} +(-0.366225 + 0.235561i) q^{24} +(1.85928 - 4.64145i) q^{25} +(0.792410 + 1.32315i) q^{26} +0.920063 q^{27} +(-4.38893 + 2.95589i) q^{28} +5.06845i q^{29} +(0.484985 - 0.0424435i) q^{30} +(-4.92434 - 8.52921i) q^{31} +(5.10931 + 2.42795i) q^{32} +(0.110500 - 0.191392i) q^{33} +(4.09510 + 2.27775i) q^{34} +(5.88135 - 0.640111i) q^{35} +(-3.13968 - 5.05725i) q^{36} +(4.33672 - 7.51142i) q^{37} +(5.31381 - 0.0850146i) q^{38} +(0.145400 - 0.0839469i) q^{39} +(-3.79162 - 5.06198i) q^{40} +4.08787i q^{41} +(0.314095 + 0.482868i) q^{42} +2.12207i q^{43} +(-2.86956 + 0.0918426i) q^{44} +(0.474082 + 6.63830i) q^{45} +(0.0461439 + 2.88421i) q^{46} +(-6.16503 - 3.55938i) q^{47} +(0.273171 - 0.551903i) q^{48} +(3.93995 + 5.78591i) q^{49} +(1.11669 + 6.98234i) q^{50} +(0.255057 - 0.441771i) q^{51} +(-1.92283 - 1.02958i) q^{52} +(2.25393 + 3.90392i) q^{53} +(-1.11629 + 0.668525i) q^{54} +(2.88713 + 1.40285i) q^{55} +(3.17722 - 6.77534i) q^{56} -0.578537i q^{57} +(-3.68278 - 6.14943i) q^{58} +(-6.68603 + 3.86018i) q^{59} +(-0.557581 + 0.403890i) q^{60} +(-3.87063 + 6.70413i) q^{61} +(12.1720 + 6.77022i) q^{62} +(-6.66876 + 4.18762i) q^{63} +(-7.96318 + 0.766699i) q^{64} +(1.36662 + 2.01964i) q^{65} +(0.00499965 + 0.312501i) q^{66} +(-11.0249 + 6.36523i) q^{67} +(-6.62352 + 0.211991i) q^{68} +0.314016 q^{69} +(-6.67059 + 5.05007i) q^{70} -5.09964i q^{71} +(7.48395 + 3.85453i) q^{72} +(4.82381 + 8.35508i) q^{73} +(0.196218 + 12.2645i) q^{74} +(0.761948 - 0.109389i) q^{75} +(-6.38535 + 3.96420i) q^{76} +(0.140933 + 3.79540i) q^{77} +(-0.115414 + 0.207500i) q^{78} +(-2.80167 - 1.61754i) q^{79} +(8.27836 + 3.38655i) q^{80} +(-4.39363 - 7.60998i) q^{81} +(-2.97028 - 4.95972i) q^{82} +8.80158 q^{83} +(-0.731940 - 0.357628i) q^{84} +(6.66407 + 3.23807i) q^{85} +(-1.54191 - 2.57466i) q^{86} +(-0.675757 + 0.390149i) q^{87} +(3.41483 - 2.19648i) q^{88} +(9.61481 + 5.55111i) q^{89} +(-5.39864 - 7.70962i) q^{90} +(-1.34896 + 2.55060i) q^{91} +(-2.15167 - 3.46581i) q^{92} +(0.758112 - 1.31309i) q^{93} +(10.0662 - 0.161047i) q^{94} +(8.38159 - 0.598581i) q^{95} +(0.0695853 + 0.868099i) q^{96} -10.0234 q^{97} +(-8.98434 - 4.15711i) q^{98} -4.27252 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 $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−1.21328	+	0.726608i	−0.857916	+	0.513790i
$2$	−1.21328	+	0.726608i	−0.857916	+	0.513790i
$3$	0.0769760	+	0.133326i	0.0444421	+	0.0769760i	0.887391	−	0.461018i	$-0.152516\pi$
$3$	0.0769760	+	0.133326i	0.0444421	+	0.0769760i	−0.842949	+	0.537994i	$0.819182\pi$
$4$	0.944081	−	1.76315i	0.472040	−	0.881577i
$5$	−1.85193	+	1.25314i	−0.828208	+	0.560421i
$5$	−1.85193	+	1.25314i	−0.828208	+	0.560421i
$6$	−0.190269	−	0.105830i	−0.0776771	−	0.0432050i
$7$	−2.33880	−	1.23694i	−0.883982	−	0.467520i
$7$	−2.33880	−	1.23694i	−0.883982	−	0.467520i
$8$	0.135691	+	2.82517i	0.0479739	+	0.998849i
$9$	1.48815	−	2.57755i	0.496050	−	0.859183i
$10$	1.33636	−	2.86603i	0.422595	−	0.906319i
$11$	−0.717757	−	1.24319i	−0.216412	−	0.374836i	0.737297	−	0.675569i	$-0.236102\pi$
$11$	−0.717757	−	1.24319i	−0.216412	−	0.374836i	−0.953708	+	0.300733i	$0.902769\pi$
$12$	0.307746	−	0.00984967i	0.0888387	−	0.00284336i
$13$		−	1.09056i		−	0.302467i	−0.988498	−	0.151234i	$-0.951675\pi$
$13$		−	1.09056i		−	0.302467i	0.988498	−	0.151234i	$-0.0483245\pi$
$14$	3.73638	−	0.198637i	0.998590	−	0.0530880i
$15$	−0.309630	−	0.150449i	−0.0799462	−	0.0388458i
$16$	−2.21742	−	3.32912i	−0.554356	−	0.832280i
$17$	−1.65673	−	2.86954i	−0.401816	−	0.695965i	0.592129	−	0.805843i	$-0.298287\pi$
$17$	−1.65673	−	2.86954i	−0.401816	−	0.695965i	−0.993945	+	0.109878i	$0.964954\pi$
$18$	0.0673323	+	4.20858i	0.0158704	+	0.991973i
$19$	−3.25444	−	1.87895i	−0.746621	−	0.431062i	0.0778508	−	0.996965i	$-0.475194\pi$
$19$	−3.25444	−	1.87895i	−0.746621	−	0.431062i	−0.824472	+	0.565903i	$0.808528\pi$
$20$	0.461106	+	4.44830i	0.103106	+	0.994670i
$21$	−0.0151144	−	0.407038i	−0.00329823	−	0.0888230i
$22$	1.77415	+	0.986807i	0.378250	+	0.210388i
$23$	1.01985	−	1.76643i	0.212654	−	0.368327i	−0.739891	−	0.672727i	$-0.765123\pi$
$23$	1.01985	−	1.76643i	0.212654	−	0.368327i	0.952544	+	0.304400i	$0.0984561\pi$
$24$	−0.366225	+	0.235561i	−0.0747553	+	0.0480838i
$25$	1.85928	−	4.64145i	0.371857	−	0.928290i
$26$	0.792410	+	1.32315i	0.155404	+	0.259491i
$27$	0.920063			0.177066
$28$	−4.38893	+	2.95589i	−0.829430	+	0.558610i
$29$			5.06845i			0.941187i	0.882350	+	0.470593i	$0.155960\pi$
$29$			5.06845i			0.941187i	−0.882350	+	0.470593i	$0.844040\pi$
$30$	0.484985	−	0.0424435i	0.0885458	−	0.00774908i
$31$	−4.92434	−	8.52921i	−0.884438	−	1.53189i	−0.846357	−	0.532617i	$-0.821209\pi$
$31$	−4.92434	−	8.52921i	−0.884438	−	1.53189i	−0.0380811	−	0.999275i	$-0.512125\pi$
$32$	5.10931	+	2.42795i	0.903207	+	0.429204i
$33$	0.110500	−	0.191392i	0.0192356	−	0.0333170i
$34$	4.09510	+	2.27775i	0.702304	+	0.390631i
$35$	5.88135	−	0.640111i	0.994129	−	0.108198i
$36$	−3.13968	−	5.05725i	−0.523281	−	0.842875i
$37$	4.33672	−	7.51142i	0.712953	−	1.23487i	−0.250791	−	0.968041i	$-0.580691\pi$
$37$	4.33672	−	7.51142i	0.712953	−	1.23487i	0.963744	−	0.266829i	$-0.0859759\pi$
$38$	5.31381	−	0.0850146i	0.862013	−	0.0137912i
$39$	0.145400	−	0.0839469i	0.0232827	−	0.0134423i
$40$	−3.79162	−	5.06198i	−0.599508	−	0.800369i
$41$			4.08787i			0.638418i	0.947684	+	0.319209i	$0.103417\pi$
$41$			4.08787i			0.638418i	−0.947684	+	0.319209i	$0.896583\pi$
$42$	0.314095	+	0.482868i	0.0484659	+	0.0745081i
$43$			2.12207i			0.323612i	0.986823	+	0.161806i	$0.0517319\pi$
$43$			2.12207i			0.323612i	−0.986823	+	0.161806i	$0.948268\pi$
$44$	−2.86956	+	0.0918426i	−0.432602	+	0.0138458i
$45$	0.474082	+	6.63830i	0.0706720	+	0.989579i
$46$	0.0461439	+	2.88421i	0.00680354	+	0.425253i
$47$	−6.16503	−	3.55938i	−0.899262	−	0.519189i	−0.0223012	−	0.999751i	$-0.507099\pi$
$47$	−6.16503	−	3.55938i	−0.899262	−	0.519189i	−0.876961	+	0.480562i	$0.840433\pi$
$48$	0.273171	−	0.551903i	0.0394288	−	0.0796603i
$49$	3.93995	+	5.78591i	0.562850	+	0.826559i
$50$	1.11669	+	6.98234i	0.157924	+	0.987451i
$51$	0.255057	−	0.441771i	0.0357151	−	0.0618603i
$52$	−1.92283	−	1.02958i	−0.266648	−	0.142777i
$53$	2.25393	+	3.90392i	0.309601	+	0.536245i	0.978275	−	0.207311i	$-0.0664711\pi$
$53$	2.25393	+	3.90392i	0.309601	+	0.536245i	−0.668674	+	0.743556i	$0.733138\pi$
$54$	−1.11629	+	0.668525i	−0.151908	+	0.0909748i
$55$	2.88713	+	1.40285i	0.389300	+	0.189161i
$56$	3.17722	−	6.77534i	0.424574	−	0.905393i
$57$		−	0.578537i		−	0.0766292i
$58$	−3.68278	−	6.14943i	−0.483572	−	0.807460i
$59$	−6.68603	+	3.86018i	−0.870447	+	0.502553i	−0.867497	−	0.497443i	$-0.834272\pi$
$59$	−6.68603	+	3.86018i	−0.870447	+	0.502553i	−0.00295028	+	0.999996i	$0.500939\pi$
$60$	−0.557581	+	0.403890i	−0.0719834	+	0.0521420i
$61$	−3.87063	+	6.70413i	−0.495584	+	0.858376i	−0.999987	−	0.00509195i	$-0.998379\pi$
$61$	−3.87063	+	6.70413i	−0.495584	+	0.858376i	0.504403	+	0.863468i	$0.331713\pi$
$62$	12.1720	+	6.77022i	1.54584	+	0.859819i
$63$	−6.66876	+	4.18762i	−0.840185	+	0.527590i
$64$	−7.96318	+	0.766699i	−0.995397	+	0.0958374i
$65$	1.36662	+	2.01964i	0.169509	+	0.250506i
$66$	0.00499965	+	0.312501i	0.000615415	+	0.0384663i
$67$	−11.0249	+	6.36523i	−1.34691	+	0.777637i	−0.987810	−	0.155663i	$-0.950249\pi$
$67$	−11.0249	+	6.36523i	−1.34691	+	0.777637i	−0.359097	+	0.933300i	$0.616915\pi$
$68$	−6.62352	+	0.211991i	−0.803220	+	0.0257077i
$69$	0.314016			0.0378031
$70$	−6.67059	+	5.05007i	−0.797288	+	0.603599i
$71$		−	5.09964i		−	0.605216i	−0.953115	−	0.302608i	$-0.902143\pi$
$71$		−	5.09964i		−	0.605216i	0.953115	−	0.302608i	$-0.0978573\pi$
$72$	7.48395	+	3.85453i	0.881992	+	0.454260i
$73$	4.82381	+	8.35508i	0.564584	+	0.977888i	0.997088	+	0.0762563i	$0.0242967\pi$
$73$	4.82381	+	8.35508i	0.564584	+	0.977888i	−0.432504	+	0.901632i	$0.642370\pi$
$74$	0.196218	+	12.2645i	0.0228099	+	1.42572i
$75$	0.761948	−	0.109389i	0.0879821	−	0.0126311i
$76$	−6.38535	+	3.96420i	−0.732449	+	0.454725i
$77$	0.140933	+	3.79540i	0.0160608	+	0.432526i
$78$	−0.115414	+	0.207500i	−0.0130681	+	0.0234947i
$79$	−2.80167	−	1.61754i	−0.315212	−	0.181988i	0.334044	−	0.942557i	$-0.391586\pi$
$79$	−2.80167	−	1.61754i	−0.315212	−	0.181988i	−0.649257	+	0.760570i	$0.724920\pi$
$80$	8.27836	+	3.38655i	0.925549	+	0.378628i
$81$	−4.39363	−	7.60998i	−0.488181	−	0.845554i
$82$	−2.97028	−	4.95972i	−0.328013	−	0.547709i
$83$	8.80158			0.966099			0.483049	−	0.875593i	$-0.339529\pi$
$83$	8.80158			0.966099			0.483049	+	0.875593i	$0.339529\pi$
$84$	−0.731940	−	0.357628i	−0.0798612	−	0.0390204i
$85$	6.66407	+	3.23807i	0.722820	+	0.351218i
$86$	−1.54191	−	2.57466i	−0.166269	−	0.277632i
$87$	−0.675757	+	0.390149i	−0.0724488	+	0.0418283i
$88$	3.41483	−	2.19648i	0.364023	−	0.234145i
$89$	9.61481	+	5.55111i	1.01917	+	0.588417i	0.913863	−	0.406023i	$-0.133085\pi$
$89$	9.61481	+	5.55111i	1.01917	+	0.588417i	0.105305	+	0.994440i	$0.466418\pi$
$90$	−5.39864	−	7.70962i	−0.569066	−	0.812666i
$91$	−1.34896	+	2.55060i	−0.141409	+	0.267376i
$92$	−2.15167	−	3.46581i	−0.224327	−	0.361336i
$93$	0.758112	−	1.31309i	0.0786125	−	0.136161i
$94$	10.0662	−	0.161047i	1.03825	−	0.0166107i
$95$	8.38159	−	0.598581i	0.859933	−	0.0614132i
$96$	0.0695853	+	0.868099i	0.00710202	+	0.0886000i
$97$	−10.0234			−1.01773			−0.508863	−	0.860847i	$-0.669934\pi$
$97$	−10.0234			−1.01773			−0.508863	+	0.860847i	$0.669934\pi$
$98$	−8.98434	−	4.15711i	−0.907556	−	0.419932i
$99$	−4.27252			−0.429404
$100$	−6.42828	−	7.66011i	−0.642828	−	0.766011i
$101$	−4.60867	−	7.98245i	−0.458580	−	0.794283i	0.540307	−	0.841468i	$-0.318308\pi$
$101$	−4.60867	−	7.98245i	−0.458580	−	0.794283i	−0.998886	+	0.0471851i	$0.984975\pi$
$102$	0.0115402	+	0.721317i	0.00114265	+	0.0714210i
$103$	6.51434	+	3.76106i	0.641877	+	0.370588i	0.785337	−	0.619068i	$-0.212490\pi$
$103$	6.51434	+	3.76106i	0.641877	+	0.370588i	−0.143460	+	0.989656i	$0.545823\pi$
$104$	3.08102	−	0.147979i	0.302119	−	0.0145105i
$105$	0.538066	+	0.734865i	0.0525099	+	0.0717155i
$106$	−5.57127	−	3.09882i	−0.541129	−	0.300984i
$107$	−6.70945	−	3.87370i	−0.648627	−	0.374485i	0.139303	−	0.990250i	$-0.455514\pi$
$107$	−6.70945	−	3.87370i	−0.648627	−	0.374485i	−0.787930	+	0.615765i	$0.788847\pi$
$108$	0.868614	−	1.62221i	0.0835824	−	0.156097i
$109$	13.5605	−	7.82914i	1.29886	−	0.749895i	0.318650	−	0.947872i	$-0.396770\pi$
$109$	13.5605	−	7.82914i	1.29886	−	0.749895i	0.980207	+	0.197977i	$0.0634371\pi$
$110$	−4.52221	+	0.395761i	−0.431176	+	0.0377343i
$111$	1.33529			0.126740
$112$	1.06818	+	10.5290i	0.100933	+	0.994893i
$113$		−	14.7872i		−	1.39106i	−0.718496	−	0.695532i	$-0.755169\pi$
$113$		−	14.7872i		−	1.39106i	0.718496	−	0.695532i	$-0.244831\pi$
$114$	0.420370	+	0.701926i	0.0393713	+	0.0657414i
$115$	0.324895	+	4.54933i	0.0302967	+	0.424227i
$116$	8.93645	+	4.78502i	0.829729	+	0.444278i
$117$	−2.81097	−	1.62292i	−0.259875	−	0.150039i
$118$	5.30717	−	9.54159i	0.488564	−	0.878375i
$119$	0.325302	+	8.76055i	0.0298204	+	0.803078i
$120$	0.383031	−	0.895173i	0.0349658	−	0.0817178i
$121$	4.46965	−	7.74166i	0.406332	−	0.703787i
$122$	−0.175129	−	10.9464i	−0.0158555	−	0.991041i
$123$	−0.545021	+	0.314668i	−0.0491429	+	0.0283727i
$124$	−19.6873	+	0.630108i	−1.76797	+	0.0565853i
$125$	2.37312	+	10.9256i	0.212258	+	0.977214i
$126$	5.04830	−	9.92631i	0.449738	−	0.884306i
$127$	19.1112			1.69584			0.847922	−	0.530121i	$-0.177853\pi$
$127$	19.1112			1.69584			0.847922	+	0.530121i	$0.177853\pi$
$128$	9.10445	−	6.71633i	0.804727	−	0.593645i
$129$	−0.282927	+	0.163348i	−0.0249104	+	0.0143820i
$130$	−3.12558	−	1.45738i	−0.274132	−	0.127821i
$131$	10.3083	+	5.95151i	0.900641	+	0.519986i	0.877408	−	0.479745i	$-0.159271\pi$
$131$	10.3083	+	5.95151i	0.900641	+	0.519986i	0.0232331	+	0.999730i	$0.492604\pi$
$132$	−0.233132	−	0.375518i	−0.0202915	−	0.0326846i
$133$	5.28733	+	8.42005i	0.458470	+	0.730111i
$134$	8.75123	−	15.7336i	0.755991	−	1.35917i
$135$	−1.70389	+	1.15297i	−0.146648	+	0.0992316i
$136$	7.88213	−	5.06991i	0.675887	−	0.434741i
$137$	−12.6230	+	7.28787i	−1.07845	+	0.622644i	−0.930478	−	0.366347i	$-0.880608\pi$
$137$	−12.6230	+	7.28787i	−1.07845	+	0.622644i	−0.147973	+	0.988991i	$0.547275\pi$
$138$	−0.380988	+	0.228167i	−0.0324319	+	0.0194228i
$139$		−	14.5711i		−	1.23590i	−0.786216	−	0.617952i	$-0.787963\pi$
$139$		−	14.5711i		−	1.23590i	0.786216	−	0.617952i	$-0.212037\pi$
$140$	4.42386	−	10.9740i	0.373884	−	0.927475i
$141$		−	1.09595i		−	0.0922954i
$142$	3.70544	+	6.18728i	0.310954	+	0.519225i
$143$	−1.35578	+	0.782757i	−0.113376	+	0.0654574i
$144$	−11.8808	+	0.761291i	−0.990069	+	0.0634409i
$145$	−6.35147	−	9.38641i	−0.527461	−	0.779499i
$146$	−11.9235	−	6.63201i	−0.986795	−	0.548869i
$147$	−0.468133	+	0.970675i	−0.0386109	+	0.0800599i
$148$	−9.14958	−	14.7377i	−0.752090	−	1.21143i
$149$	−5.88956	−	3.40034i	−0.482492	−	0.278567i	0.238962	−	0.971029i	$-0.423193\pi$
$149$	−5.88956	−	3.40034i	−0.482492	−	0.278567i	−0.721454	+	0.692462i	$0.756526\pi$
$150$	−0.844971	+	0.686356i	−0.0689916	+	0.0560407i
$151$	1.08611	−	0.627067i	0.0883865	−	0.0510300i	−0.455155	−	0.890412i	$-0.650416\pi$
$151$	1.08611	−	0.627067i	0.0883865	−	0.0510300i	0.543542	+	0.839382i	$0.317083\pi$
$152$	4.86677	−	9.44932i	0.394747	−	0.766441i
$153$	−9.86184			−0.797282
$154$	−2.92876	−	4.50246i	−0.236006	−	0.362819i
$155$	19.8078	+	9.62461i	1.59100	+	0.773067i
$156$	−0.0107417	−	0.335616i	−0.000860021	−	0.0268708i
$157$	4.46938	−	2.58040i	0.356696	−	0.205938i	−0.310935	−	0.950431i	$-0.600642\pi$
$157$	4.46938	−	2.58040i	0.356696	−	0.205938i	0.667630	+	0.744493i	$0.267309\pi$
$158$	4.57452	−	0.0731869i	0.363929	−	0.00582243i
$159$	−0.346997	+	0.601017i	−0.0275187	+	0.0476637i
$160$	−12.5046	+	1.90630i	−0.988579	+	0.150706i
$161$	−4.57020	+	2.86984i	−0.360182	+	0.226175i
$162$	10.8602	+	6.04057i	0.853255	+	0.474592i
$163$	−8.10394	−	4.67881i	−0.634750	−	0.366473i	0.147840	−	0.989011i	$-0.452768\pi$
$163$	−8.10394	−	4.67881i	−0.634750	−	0.366473i	−0.782589	+	0.622538i	$0.786101\pi$
$164$	7.20755	+	3.85928i	0.562815	+	0.301359i
$165$	0.0352022	+	0.492916i	0.00274049	+	0.0383735i
$166$	−10.6787	+	6.39530i	−0.828832	+	0.496371i
$167$		−	4.66932i		−	0.361323i	−0.983545	−	0.180661i	$-0.942176\pi$
$167$		−	4.66932i		−	0.361323i	0.983545	−	0.180661i	$-0.0578238\pi$
$168$	1.14790	−	0.0979320i	0.0885625	−	0.00755562i
$169$	11.8107			0.908514
$170$	−10.4382	+	0.913497i	−0.800571	+	0.0700620i
$171$	−9.68620	+	5.59233i	−0.740722	+	0.427656i
$172$	3.74153	+	2.00340i	0.285289	+	0.152758i
$173$	−9.51191	−	5.49171i	−0.723177	−	0.417527i	0.0927436	−	0.995690i	$-0.470436\pi$
$173$	−9.51191	−	5.49171i	−0.723177	−	0.417527i	−0.815921	+	0.578163i	$0.803770\pi$
$174$	0.536395	−	0.964369i	0.0406640	−	0.0731086i
$175$	−10.0897	+	8.55559i	−0.762709	+	0.646742i
$176$	−2.54716	+	5.14618i	−0.192000	+	0.387908i
$177$	−1.02933	−	0.594282i	−0.0773690	−	0.0446690i
$178$	−15.6989	+	0.251164i	−1.17668	+	0.0188255i
$179$	−7.19784	−	12.4670i	−0.537992	−	0.931829i	−0.999012	−	0.0444396i	$-0.985850\pi$
$179$	−7.19784	−	12.4670i	−0.537992	−	0.931829i	0.461020	−	0.887390i	$-0.347484\pi$
$180$	12.1519	+	5.43121i	0.905750	+	0.404819i
$181$	4.37036			0.324846			0.162423	−	0.986721i	$-0.448069\pi$
$181$	4.37036			0.324846			0.162423	+	0.986721i	$0.448069\pi$
$182$	−0.216626	−	4.07475i	−0.0160574	−	0.302040i
$183$	−1.19178			−0.0880991
$184$	5.12886	+	2.64156i	0.378105	+	0.194739i
$185$	1.38156	+	19.3451i	0.101574	+	1.42228i
$186$	0.0343013	+	2.14399i	0.00251509	+	0.157205i
$187$	−2.37826	+	4.11926i	−0.173915	+	0.301230i
$188$	−12.0960	+	7.50955i	−0.882193	+	0.547690i
$189$	−2.15184	−	1.13806i	−0.156523	−	0.0827820i
$190$	−9.73426	+	6.81638i	−0.706197	+	0.494512i
$191$	15.5718	+	8.99035i	1.12673	+	0.650519i	0.943111	−	0.332478i	$-0.107885\pi$
$191$	15.5718	+	8.99035i	1.12673	+	0.650519i	0.183621	+	0.982997i	$0.441218\pi$
$192$	−0.715194	−	1.00268i	−0.0516147	−	0.0723624i
$193$	8.69658	−	5.02098i	0.625994	−	0.361418i	−0.153205	−	0.988194i	$-0.548960\pi$
$193$	8.69658	−	5.02098i	0.625994	−	0.361418i	0.779199	+	0.626777i	$0.215626\pi$
$194$	12.1612	−	7.28311i	0.873124	−	0.522897i
$195$	−0.164074	+	0.337671i	−0.0117496	+	0.0241811i
$196$	13.9211	−	1.48437i	0.994363	−	0.106026i
$197$	−18.3358			−1.30637			−0.653185	−	0.757199i	$-0.726567\pi$
$197$	−18.3358			−1.30637			−0.653185	+	0.757199i	$0.726567\pi$
$198$	5.18375	−	3.10445i	0.368393	−	0.220623i
$199$	2.54449	+	4.40718i	0.180374	+	0.312417i	0.942008	−	0.335591i	$-0.108936\pi$
$199$	2.54449	+	4.40718i	0.180374	+	0.312417i	−0.761634	+	0.648008i	$0.775603\pi$
$200$	13.3652	+	4.62299i	0.945061	+	0.326895i
$201$	−1.69731	−	0.979940i	−0.119719	−	0.0691197i
$202$	11.3917	+	6.33622i	0.801517	+	0.445815i
$203$	6.26937	−	11.8541i	0.440024	−	0.831993i
$204$	−0.538116	−	0.866771i	−0.0376757	−	0.0606861i
$205$	−5.12267	−	7.57045i	−0.357783	−	0.528743i
$206$	−10.6365	+	0.170172i	−0.741081	+	0.0118564i
$207$	−3.03538	−	5.25744i	−0.210974	−	0.365417i
$208$	−3.63061	+	2.41823i	−0.251737	+	0.167674i
$209$			5.39453i			0.373147i
$210$	−1.18678	−	0.500632i	−0.0818958	−	0.0345469i
$211$	26.0225			1.79146			0.895730	−	0.444599i	$-0.146654\pi$
$211$	26.0225			1.79146			0.895730	+	0.444599i	$0.146654\pi$
$212$	9.01111	−	0.288408i	0.618886	−	0.0198079i
$213$	0.679916	−	0.392550i	0.0465871	−	0.0268971i
$214$	10.9551	−	0.175268i	0.748874	−	0.0119811i
$215$	−2.65925	−	3.92992i	−0.181359	−	0.268018i
$216$	0.124844	+	2.59933i	0.00849456	+	0.176862i
$217$	0.966904	+	26.0392i	0.0656377	+	1.76766i
$218$	−10.7639	+	19.3521i	−0.729022	+	1.31069i
$219$	−0.742635	+	1.28628i	−0.0501826	+	0.0869188i
$220$	5.19913	−	3.76604i	0.350525	−	0.253906i
$221$	−3.12940	+	1.80676i	−0.210506	+	0.121536i
$222$	−1.62008	+	0.970235i	−0.108733	+	0.0651179i
$223$		−	7.60644i		−	0.509365i	−0.967025	−	0.254683i	$-0.918029\pi$
$223$		−	7.60644i		−	0.509365i	0.967025	−	0.254683i	$-0.0819710\pi$
$224$	−8.94642	−	11.9984i	−0.597758	−	0.801677i
$225$	−9.19668	−	11.6996i	−0.613112	−	0.779971i
$226$	10.7445	+	17.9410i	0.714714	+	1.19342i
$227$	−10.6186	−	18.3920i	−0.704781	−	1.22072i	−0.966770	−	0.255646i	$-0.917712\pi$
$227$	−10.6186	−	18.3920i	−0.704781	−	1.22072i	0.261989	−	0.965071i	$-0.415622\pi$
$228$	−1.02005	−	0.546186i	−0.0675545	−	0.0361721i
$229$	11.1449	−	19.3035i	0.736476	−	1.27561i	−0.217597	−	0.976039i	$-0.569822\pi$
$229$	11.1449	−	19.3035i	0.736476	−	1.27561i	0.954073	−	0.299575i	$-0.0968449\pi$
$230$	−3.69977	−	5.28352i	−0.243955	−	0.348385i
$231$	−0.495178	+	0.310944i	−0.0325803	+	0.0204586i
$232$	−14.3192	+	0.687741i	−0.940103	+	0.0451524i
$233$	17.5570	+	10.1365i	1.15020	+	0.664067i	0.948935	−	0.315470i	$-0.102162\pi$
$233$	17.5570	+	10.1365i	1.15020	+	0.664067i	0.201263	+	0.979537i	$0.435496\pi$
$234$	4.58971	−	0.0734300i	0.300039	−	0.00480027i
$235$	15.8776	−	1.13392i	1.03574	−	0.0739686i
$236$	0.493940	+	15.4328i	0.0321528	+	1.00459i
$237$		−	0.498048i		−	0.0323517i
$238$	−6.76017	−	10.3926i	−0.438196	−	0.673652i
$239$			28.0879i			1.81686i	0.418040	+	0.908429i	$0.362717\pi$
$239$			28.0879i			1.81686i	−0.418040	+	0.908429i	$0.637283\pi$
$240$	0.185718	+	1.36441i	0.0119880	+	0.0880721i
$241$	−18.8634	+	10.8908i	−1.21510	+	0.701537i	−0.963865	−	0.266389i	$-0.914169\pi$
$241$	−18.8634	+	10.8908i	−1.21510	+	0.701537i	−0.251233	+	0.967927i	$0.580836\pi$
$242$	0.202232	+	12.6405i	0.0130000	+	0.812560i
$243$	2.05650	−	3.56196i	0.131925	−	0.228500i
$244$	8.16623	+	13.1538i	0.522789	+	0.842083i
$245$	−14.5471	−	5.77780i	−0.929378	−	0.369130i
$246$	0.432621	−	0.777796i	0.0275829	−	0.0495905i
$247$	−2.04911	+	3.54917i	−0.130382	+	0.225828i
$248$	23.4283	−	15.0694i	1.48770	−	0.956910i
$249$	0.677510	+	1.17348i	0.0429354	+	0.0743664i
$250$	−10.8179	−	11.5314i	−0.684182	−	0.729311i
$251$		−	4.96754i		−	0.313548i	−0.987634	−	0.156774i	$-0.949891\pi$
$251$		−	4.96754i		−	0.313548i	0.987634	−	0.156774i	$-0.0501094\pi$
$252$	1.08756	+	15.7115i	0.0685099	+	0.989731i
$253$	−2.92802			−0.184083
$254$	−23.1872	+	13.8864i	−1.45489	+	0.871307i
$255$	0.0812538	+	1.13775i	0.00508831	+	0.0712487i
$256$	−6.16607	+	14.7641i	−0.385380	+	0.922758i
$257$	10.2172	−	17.6967i	0.637332	−	1.10389i	−0.348684	−	0.937240i	$-0.613371\pi$
$257$	10.2172	−	17.6967i	0.637332	−	1.10389i	0.986016	−	0.166651i	$-0.0532954\pi$
$258$	0.224579	−	0.403764i	0.0139817	−	0.0251372i
$259$	−19.4339	+	12.2034i	−1.20756	+	0.758284i
$260$	4.85114	−	0.502864i	0.300855	−	0.0311863i
$261$	13.0642	+	7.54261i	0.808652	+	0.466876i
$262$	−16.8312	+	0.269280i	−1.03984	+	0.0166362i
$263$	2.91050	+	5.04113i	0.179469	+	0.310850i	0.941699	−	0.336457i	$-0.109229\pi$
$263$	2.91050	+	5.04113i	0.179469	+	0.310850i	−0.762230	+	0.647307i	$0.775895\pi$
$264$	0.555708	+	0.286211i	0.0342015	+	0.0176151i
$265$	−9.06628	−	4.40530i	−0.556937	−	0.270616i
$266$	−12.5331	−	6.37404i	−0.768452	−	0.390817i
$267$			1.70921i			0.104602i
$268$	0.814481	+	25.4479i	0.0497524	+	1.55448i
$269$	−13.3070	−	23.0485i	−0.811345	−	1.40529i	−0.911923	−	0.410361i	$-0.865403\pi$
$269$	−13.3070	−	23.0485i	−0.811345	−	1.40529i	0.100578	−	0.994929i	$-0.467931\pi$
$270$	1.22954	−	2.63693i	0.0748272	−	0.160478i
$271$	−9.50169	+	16.4574i	−0.577186	+	0.999716i	0.418614	+	0.908164i	$0.362516\pi$
$271$	−9.50169	+	16.4574i	−0.577186	+	0.999716i	−0.995800	+	0.0915517i	$0.970817\pi$
$272$	−5.87937	+	11.8784i	−0.356489	+	0.720235i
$273$	−0.443900	+	0.0164831i	−0.0268660	+	0.000997605i
$274$	10.0197	−	18.0141i	0.605313	−	1.08827i
$275$	−7.10473	+	1.01999i	−0.428431	+	0.0615075i
$276$	0.296457	−	0.553659i	0.0178446	−	0.0333263i
$277$	−8.17889	−	14.1662i	−0.491422	−	0.851167i	0.508529	−	0.861045i	$-0.330189\pi$
$277$	−8.17889	−	14.1662i	−0.491422	−	0.851167i	−0.999951	+	0.00987713i	$0.996856\pi$
$278$	10.5875	+	17.6788i	0.634994	+	1.06030i
$279$	−29.3126			−1.75490
$280$	2.60647	+	16.5290i	0.155766	+	0.987794i
$281$	−9.13648			−0.545037			−0.272518	−	0.962151i	$-0.587857\pi$
$281$	−9.13648			−0.545037			−0.272518	+	0.962151i	$0.587857\pi$
$282$	0.796324	+	1.32969i	0.0474204	+	0.0791817i
$283$	7.92262	+	13.7224i	0.470951	+	0.815710i	0.999448	−	0.0332246i	$-0.0105777\pi$
$283$	7.92262	+	13.7224i	0.470951	+	0.815710i	−0.528497	+	0.848935i	$0.677244\pi$
$284$	−8.99145	−	4.81447i	−0.533545	−	0.285686i
$285$	0.724988	+	1.07141i	0.0429446	+	0.0634649i
$286$	1.07617	−	1.93482i	0.0636354	−	0.114408i
$287$	5.05646	−	9.56071i	0.298473	−	0.564351i
$288$	13.8616	−	9.55637i	0.816801	−	0.563114i
$289$	3.01050	−	5.21434i	0.177088	−	0.306726i
$290$	14.5263	+	6.77328i	0.853015	+	0.397741i
$291$	−0.771564	−	1.33639i	−0.0452299	−	0.0783405i
$292$	19.2854	−	0.617244i	1.12859	−	0.0361215i
$293$			7.81463i			0.456536i	0.973598	+	0.228268i	$0.0733062\pi$
$293$			7.81463i			0.456536i	−0.973598	+	0.228268i	$0.926694\pi$
$294$	−0.137326	−	1.51785i	−0.00800901	−	0.0885226i
$295$	7.54471	−	15.5273i	0.439270	−	0.904035i
$296$	21.8095	+	11.2327i	1.26765	+	0.652890i
$297$	−0.660381	−	1.14381i	−0.0383192	−	0.0663708i
$298$	9.61639	−	0.153851i	0.557062	−	0.00891234i
$299$	−1.92640	−	1.11221i	−0.111407	−	0.0643207i
$300$	0.526471	−	1.44670i	0.0303958	−	0.0835254i
$301$	2.62487	−	4.96309i	0.151295	−	0.286068i
$302$	−0.862122	+	1.54998i	−0.0496095	+	0.0891915i
$303$	0.709513	−	1.22891i	0.0407605	−	0.0705992i
$304$	0.961215	+	15.0009i	0.0551295	+	0.860359i
$305$	−1.23307	−	17.2660i	−0.0706056	−	0.988650i
$306$	11.9651	−	7.16569i	0.684001	−	0.409635i
$307$	32.1983			1.83765			0.918827	−	0.394660i	$-0.129138\pi$
$307$	32.1983			1.83765			0.918827	+	0.394660i	$0.129138\pi$
$308$	6.82492	+	3.33468i	0.388886	+	0.190011i
$309$			1.15804i			0.0658788i
$310$	−31.0257	+	2.71521i	−1.76214	+	0.154214i
$311$	7.85791	+	13.6103i	0.445581	+	0.771769i	0.998092	−	0.0617363i	$-0.0196638\pi$
$311$	7.85791	+	13.6103i	0.445581	+	0.771769i	−0.552511	+	0.833505i	$0.686330\pi$
$312$	0.256894	+	0.399390i	0.0145438	+	0.0226110i
$313$	−9.05719	+	15.6875i	−0.511942	+	0.886710i	0.487962	+	0.872865i	$0.337741\pi$
$313$	−9.05719	+	15.6875i	−0.511942	+	0.886710i	−0.999904	+	0.0138452i	$0.995593\pi$
$314$	−3.54766	+	6.37823i	−0.200206	+	0.359944i
$315$	7.10241	−	16.1121i	0.400175	−	0.907811i
$316$	−5.49698	+	3.41268i	−0.309229	+	0.191978i
$317$	0.164486	−	0.284898i	0.00923844	−	0.0160015i	−0.861369	−	0.507979i	$-0.830393\pi$
$317$	0.164486	−	0.284898i	0.00923844	−	0.0160015i	0.870608	+	0.491978i	$0.163726\pi$
$318$	−0.0157001	−	0.981331i	−0.000880419	−	0.0550303i
$319$	6.30105	−	3.63791i	0.352791	−	0.203684i
$320$	13.7865	−	11.3988i	0.770686	−	0.637215i
$321$		−	1.19273i		−	0.0665715i
$322$	3.45967	−	6.80265i	0.192800	−	0.379097i
$323$			12.4517i			0.692829i
$324$	−17.5655	+	0.562198i	−0.975862	+	0.0312332i
$325$	−5.06178	−	2.02766i	−0.280777	−	0.112474i
$326$	13.2320	−	0.211696i	0.732852	−	0.0117248i
$327$	2.08766	+	1.20531i	0.115448	+	0.0666538i
$328$	−11.5489	+	0.554686i	−0.637683	+	0.0306274i
$329$	10.0160	+	15.9505i	0.552200	+	0.879377i
$330$	−0.400867	−	0.572465i	−0.0220670	−	0.0315132i
$331$	0.366488	−	0.634777i	0.0201440	−	0.0348905i	−0.855778	−	0.517344i	$-0.826921\pi$
$331$	0.366488	−	0.634777i	0.0201440	−	0.0348905i	0.875922	+	0.482453i	$0.160254\pi$
$332$	8.30940	−	15.5185i	0.456038	−	0.851690i
$333$	−12.9074	−	22.3562i	−0.707320	−	1.22511i
$334$	3.39277	+	5.66518i	0.185644	+	0.309985i
$335$	12.4408	−	25.6037i	0.679715	−	1.39888i
$336$	−1.32156	+	0.952893i	−0.0720972	+	0.0519846i
$337$		−	26.9790i		−	1.46964i	−0.678261	−	0.734821i	$-0.737266\pi$
$337$		−	26.9790i		−	1.46964i	0.678261	−	0.734821i	$-0.262734\pi$
$338$	−14.3296	+	8.58174i	−0.779429	+	0.466785i
$339$	1.97152	−	1.13826i	0.107078	−	0.0618218i
$340$	12.0006	−	8.69279i	0.650826	−	0.471433i
$341$	−7.06896	+	12.2438i	−0.382806	+	0.663039i
$342$	7.68861	−	13.8231i	0.415752	−	0.747469i
$343$	−2.05791	−	18.4056i	−0.111117	−	0.993807i
$344$	−5.99520	+	0.287945i	−0.323240	+	0.0155250i
$345$	−0.581536	+	0.393506i	−0.0313088	+	0.0211856i
$346$	15.5309	−	0.248476i	0.834947	−	0.0133582i
$347$	−19.5162	+	11.2677i	−1.04768	+	0.604880i	−0.922000	−	0.387190i	$-0.873446\pi$
$347$	−19.5162	+	11.2677i	−1.04768	+	0.604880i	−0.125684	+	0.992070i	$0.540112\pi$
$348$	0.0499225	+	1.55980i	0.00267613	+	0.0836138i
$349$	−2.28183			−0.122144			−0.0610718	−	0.998133i	$-0.519452\pi$
$349$	−2.28183			−0.122144			−0.0610718	+	0.998133i	$0.519452\pi$
$350$	6.02503	−	17.7116i	0.322051	−	0.946722i
$351$		−	1.00338i		−	0.0535567i
$352$	−0.648843	−	8.09453i	−0.0345835	−	0.431440i
$353$	−4.34760	−	7.53026i	−0.231399	−	0.400796i	0.726821	−	0.686827i	$-0.240997\pi$
$353$	−4.34760	−	7.53026i	−0.231399	−	0.400796i	−0.958220	+	0.286032i	$0.907664\pi$
$354$	1.68067	−	0.0268887i	0.0893266	−	0.00142912i
$355$	6.39056	+	9.44418i	0.339176	+	0.501245i
$356$	18.8646	−	11.7117i	0.999823	−	0.620718i
$357$	−1.14297	+	0.717723i	−0.0604924	+	0.0379859i
$358$	17.7916	+	9.89594i	0.940316	+	0.523017i
$359$	9.45940	+	5.46139i	0.499248	+	0.288241i	0.728403	−	0.685149i	$-0.240263\pi$
$359$	9.45940	+	5.46139i	0.499248	+	0.288241i	−0.229155	+	0.973390i	$0.573596\pi$
$360$	−18.6900	+	2.24012i	−0.985049	+	0.118065i
$361$	−2.43906	−	4.22457i	−0.128372	−	0.222346i
$362$	−5.30246	+	3.17554i	−0.278691	+	0.166903i
$363$	1.37622			0.0722330
$364$	3.22357	+	4.78640i	0.168961	+	0.250875i
$365$	−19.4034	−	9.42812i	−1.01562	−	0.493490i
$366$	1.44596	−	0.865959i	0.0755817	−	0.0452644i
$367$	−12.2452	+	7.06978i	−0.639196	+	0.369040i	−0.784305	−	0.620376i	$-0.786980\pi$
$367$	−12.2452	+	7.06978i	−0.639196	+	0.369040i	0.145109	+	0.989416i	$0.453647\pi$
$368$	−8.14211	+	0.521724i	−0.424437	+	0.0271968i
$369$	10.5367	+	6.08336i	0.548519	+	0.316687i
$370$	−15.7325	−	22.4672i	−0.817896	−	1.16801i
$371$	−0.442564	−	11.9185i	−0.0229768	−	0.618776i
$372$	−1.59946	−	2.57633i	−0.0829280	−	0.133576i
$373$	−7.21065	+	12.4892i	−0.373353	+	0.646667i	−0.990079	−	0.140511i	$-0.955125\pi$
$373$	−7.21065	+	12.4892i	−0.373353	+	0.646667i	0.616726	+	0.787178i	$0.288459\pi$
$374$	−0.107606	−	6.72586i	−0.00556417	−	0.347786i
$375$	−1.27399	+	1.15741i	−0.0657888	+	0.0597682i
$376$	9.21932	−	17.9002i	0.475450	−	0.923134i
$377$	5.52745			0.284678
$378$	3.43771	−	0.182759i	0.176816	−	0.00940009i
$379$	−7.92505			−0.407083			−0.203541	−	0.979066i	$-0.565245\pi$
$379$	−7.92505			−0.407083			−0.203541	+	0.979066i	$0.565245\pi$
$380$	6.85751	−	15.3431i	0.351783	−	0.787087i
$381$	1.47110	+	2.54802i	0.0753669	+	0.130539i
$382$	−25.4253	+	0.406775i	−1.30087	+	0.0208124i
$383$	19.9807	+	11.5359i	1.02097	+	0.589456i	0.914384	−	0.404848i	$-0.132676\pi$
$383$	19.9807	+	11.5359i	1.02097	+	0.589456i	0.106583	+	0.994304i	$0.466009\pi$
$384$	1.59629	+	0.696866i	0.0814602	+	0.0355618i
$385$	−5.01716	−	6.85220i	−0.255698	−	0.349220i
$386$	−6.90308	+	12.4108i	−0.351358	+	0.631695i
$387$	5.46974	+	3.15795i	0.278042	+	0.160528i
$388$	−9.46294	+	17.6729i	−0.480408	+	0.897204i
$389$	−12.8952	+	7.44505i	−0.653813	+	0.377479i	−0.789916	−	0.613216i	$-0.789876\pi$
$389$	−12.8952	+	7.44505i	−0.653813	+	0.377479i	0.136102	+	0.990695i	$0.456542\pi$
$390$	−0.0462872	−	0.528905i	−0.00234384	−	0.0267822i
$391$	−6.75847			−0.341790
$392$	−15.8116	+	11.9161i	−0.798605	+	0.601855i
$393$			1.83249i			0.0924370i
$394$	22.2464	−	13.3229i	1.12076	−	0.671199i
$395$	7.21550	−	0.515303i	0.363051	−	0.0259277i
$396$	−4.03360	+	7.53311i	−0.202696	+	0.378553i
$397$	31.0960	+	17.9533i	1.56066	+	0.901049i	0.997190	+	0.0749137i	$0.0238681\pi$
$397$	31.0960	+	17.9533i	1.56066	+	0.901049i	0.563472	+	0.826135i	$0.309465\pi$
$398$	−6.28947	−	3.49829i	−0.315262	−	0.175353i
$399$	−0.715617	+	1.35308i	−0.0358257	+	0.0677388i
$400$	−19.5748	+	4.10228i	−0.978738	+	0.205114i
$401$	2.44122	−	4.22832i	0.121909	−	0.211152i	−0.798612	−	0.601847i	$-0.794432\pi$
$401$	2.44122	−	4.22832i	0.121909	−	0.211152i	0.920520	+	0.390694i	$0.127765\pi$
$402$	2.77133	−	0.0443381i	0.138222	−	0.00221138i
$403$	−9.30162	+	5.37029i	−0.463347	+	0.267513i
$404$	−18.4252	+	0.589715i	−0.916690	+	0.0293394i
$405$	17.6731	+	8.58733i	0.878181	+	0.426708i
$406$	1.00678	+	18.9376i	0.0499657	+	0.939860i
$407$	−12.4508			−0.617166
$408$	1.28269	+	0.660634i	0.0635025	+	0.0327063i
$409$	21.8076	−	12.5906i	1.07832	−	0.622567i	0.147875	−	0.989006i	$-0.452757\pi$
$409$	21.8076	−	12.5906i	1.07832	−	0.622567i	0.930442	+	0.366439i	$0.119423\pi$
$410$	11.7160	+	5.46287i	0.578611	+	0.269792i
$411$	−1.94333	−	1.12198i	−0.0958573	−	0.0553432i
$412$	12.7814	−	7.93505i	0.629694	−	0.390932i
$413$	20.4121	−	0.757954i	1.00441	−	0.0372965i
$414$	7.50285	+	4.17319i	0.368745	+	0.205101i
$415$	−16.2999	+	11.0296i	−0.800130	+	0.541422i
$416$	2.64782	−	5.57201i	0.129820	−	0.273190i
$417$	1.94271	−	1.12162i	0.0951349	−	0.0549261i
$418$	−3.91971	−	6.54506i	−0.191719	−	0.320129i
$419$		−	19.8387i		−	0.969184i	−0.874740	−	0.484592i	$-0.838968\pi$
$419$		−	19.8387i		−	0.969184i	0.874740	−	0.484592i	$-0.161032\pi$
$420$	1.80366	−	0.254921i	0.0880095	−	0.0124389i
$421$			15.1350i			0.737633i	0.929502	+	0.368816i	$0.120237\pi$
$421$			15.1350i			0.737633i	−0.929502	+	0.368816i	$0.879763\pi$
$422$	−31.5724	+	18.9081i	−1.53692	+	0.920433i
$423$	−18.3490	+	10.5938i	−0.892157	+	0.515087i
$424$	−10.7234	+	6.89747i	−0.520775	+	0.334971i
$425$	−16.3991	+	2.35434i	−0.795475	+	0.114202i
$426$	−0.539697	+	0.970304i	−0.0261484	+	0.0470114i
$427$	17.3452	−	10.8919i	0.839395	−	0.527094i
$428$	−13.1642	+	8.17270i	−0.636315	+	0.395042i
$429$	−0.208724	−	0.120507i	−0.0100773	−	0.00581813i
$430$	6.08191	+	2.83585i	0.293296	+	0.136757i
$431$	6.91977	−	3.99513i	0.333314	−	0.192439i	−0.323998	−	0.946058i	$-0.605027\pi$
$431$	6.91977	−	3.99513i	0.333314	−	0.192439i	0.657311	+	0.753619i	$0.271694\pi$
$432$	−2.04017	−	3.06300i	−0.0981576	−	0.147369i
$433$	−23.8710			−1.14717			−0.573583	−	0.819148i	$-0.694447\pi$
$433$	−23.8710			−1.14717			−0.573583	+	0.819148i	$0.694447\pi$
$434$	−20.0934	−	30.8902i	−0.964516	−	1.48278i
$435$	0.762544	−	1.56935i	0.0365612	−	0.0752444i
$436$	−1.00180	−	31.3005i	−0.0479775	−	1.49902i
$437$	−6.63810	+	3.83251i	−0.317543	+	0.183334i
$438$	−0.0336010	−	2.10022i	−0.00160552	−	0.100352i
$439$	6.02272	−	10.4317i	0.287449	−	0.497876i	−0.685751	−	0.727836i	$-0.740526\pi$
$439$	6.02272	−	10.4317i	0.287449	−	0.497876i	0.973200	+	0.229960i	$0.0738596\pi$
$440$	−3.57154	+	8.34698i	−0.170267	+	0.397927i
$441$	20.7767	−	1.54512i	0.989367	−	0.0735770i
$442$	2.48402	−	4.46595i	0.118153	−	0.212424i
$443$	−31.0474	−	17.9252i	−1.47511	−	0.851653i	−0.475500	−	0.879716i	$-0.657733\pi$
$443$	−31.0474	−	17.9252i	−1.47511	−	0.851653i	−0.999606	+	0.0280632i	$0.991066\pi$
$444$	1.26062	−	2.35433i	0.0598266	−	0.111731i
$445$	−24.7623	+	1.76843i	−1.17384	+	0.0838314i
$446$	5.52690	+	9.22872i	0.261706	+	0.436993i
$447$		−	1.04698i		−	0.0495204i
$448$	19.5726	+	8.05683i	0.924719	+	0.380649i
$449$	−25.0673			−1.18300			−0.591500	−	0.806305i	$-0.701464\pi$
$449$	−25.0673			−1.18300			−0.591500	+	0.806305i	$0.701464\pi$
$450$	19.6591	+	7.51243i	0.926740	+	0.354139i
$451$	5.08201	−	2.93410i	0.239302	−	0.138161i
$452$	−26.0721	−	13.9603i	−1.22633	−	0.656638i
$453$	0.167209	+	0.0965381i	0.00785616	+	0.00453576i
$454$	26.2471	+	14.5990i	1.23184	+	0.685164i
$455$	−0.698079	−	6.41396i	−0.0327265	−	0.300691i
$456$	1.63447	−	0.0785022i	0.0765409	−	0.00367620i
$457$	26.1083	+	15.0736i	1.22129	+	0.705115i	0.965194	−	0.261536i	$-0.0842289\pi$
$457$	26.1083	+	15.0736i	1.22129	+	0.705115i	0.256100	+	0.966650i	$0.417562\pi$
$458$	0.504259	+	31.5185i	0.0235625	+	1.47276i
$459$	−1.52429	−	2.64016i	−0.0711480	−	0.123232i
$460$	8.32789	+	3.72209i	0.388290	+	0.173543i
$461$	6.48585			0.302076			0.151038	−	0.988528i	$-0.451738\pi$
$461$	6.48585			0.302076			0.151038	+	0.988528i	$0.451738\pi$
$462$	0.374853	−	0.737062i	0.0174397	−	0.0342912i
$463$	10.1847			0.473324			0.236662	−	0.971592i	$-0.423947\pi$
$463$	10.1847			0.473324			0.236662	+	0.971592i	$0.423947\pi$
$464$	16.8735	−	11.2389i	0.783331	−	0.521752i
$465$	0.241513	+	3.38177i	0.0111999	+	0.156826i
$466$	−28.6668	+	0.458635i	−1.32796	+	0.0212459i
$467$	0.928318	−	1.60789i	0.0429574	−	0.0744045i	−0.843747	−	0.536741i	$-0.819655\pi$
$467$	0.928318	−	1.60789i	0.0429574	−	0.0744045i	0.886705	+	0.462336i	$0.152989\pi$
$468$	−5.51524	+	3.42402i	−0.254942	+	0.158275i
$469$	33.6585	−	1.24983i	1.55420	−	0.0577116i
$470$	−18.4400	+	12.9125i	−0.850574	+	0.595611i
$471$	0.688070	+	0.397258i	0.0317046	+	0.0183047i
$472$	−11.8129	−	18.3654i	−0.543733	−	0.845335i
$473$	2.63814	−	1.52313i	0.121302	−	0.0700335i
$474$	0.361886	+	0.604270i	0.0166220	+	0.0277550i
$475$	−14.7720	+	11.6118i	−0.677786	+	0.532787i
$476$	15.7533	+	7.69711i	0.722051	+	0.352796i
$477$	13.4167			0.614311
$478$	−20.4089	−	34.0784i	−0.933482	−	1.55871i
$479$	−11.3522	−	19.6626i	−0.518696	−	0.898408i	−0.999764	−	0.0217249i	$-0.993084\pi$
$479$	−11.3522	−	19.6626i	−0.518696	−	0.898408i	0.481068	−	0.876683i	$-0.340249\pi$
$480$	−1.21672	−	1.52046i	−0.0555352	−	0.0693991i
$481$	−8.19166	−	4.72946i	−0.373507	−	0.215645i
$482$	14.9732	−	26.9198i	0.682010	−	1.22617i
$483$	−0.734420	−	0.388420i	−0.0334173	−	0.0176737i
$484$	−9.43003	−	15.1894i	−0.428638	−	0.690429i
$485$	18.5627	−	12.5608i	0.842889	−	0.570355i
$486$	0.0930478	+	5.81592i	0.00422073	+	0.263815i
$487$	3.97228	+	6.88019i	0.180001	+	0.311771i	0.941881	−	0.335948i	$-0.109056\pi$
$487$	3.97228	+	6.88019i	0.180001	+	0.311771i	−0.761879	+	0.647719i	$0.775723\pi$
$488$	−19.4655	−	10.0255i	−0.881163	−	0.453833i
$489$		−	1.44062i		−	0.0651473i
$490$	21.8478	−	3.55995i	0.986983	−	0.160822i
$491$	−17.3407			−0.782574			−0.391287	−	0.920269i	$-0.627970\pi$
$491$	−17.3407			−0.782574			−0.391287	+	0.920269i	$0.627970\pi$
$492$	0.0402642	+	1.25803i	0.00181525	+	0.0567163i
$493$	14.5441	−	8.39704i	0.655033	−	0.378184i
$494$	−0.0927135	−	5.79503i	−0.00417138	−	0.260731i
$495$	7.91240	−	5.35406i	0.355636	−	0.240647i
$496$	−17.4754	+	35.3066i	−0.784669	+	1.58531i
$497$	−6.30796	+	11.9270i	−0.282951	+	0.535000i
$498$	−1.67467	−	0.931474i	−0.0750437	−	0.0417403i
$499$	−6.19114	+	10.7234i	−0.277153	+	0.480044i	−0.970676	−	0.240391i	$-0.922724\pi$
$499$	−6.19114	+	10.7234i	−0.277153	+	0.480044i	0.693523	+	0.720435i	$0.256058\pi$
$500$	21.5039	+	6.13045i	0.961683	+	0.274162i
$501$	0.622543	−	0.359426i	0.0278132	−	0.0160579i
$502$	3.60945	+	6.02700i	0.161098	+	0.268998i
$503$			5.54215i			0.247112i	0.992338	+	0.123556i	$0.0394299\pi$
$503$			5.54215i			0.247112i	−0.992338	+	0.123556i	$0.960570\pi$
$504$	−12.7356	−	18.2722i	−0.567289	−	0.813907i
$505$	18.5380	+	9.00762i	0.824932	+	0.400834i
$506$	3.55250	−	2.12752i	0.157928	−	0.0945800i
$507$	0.909138	+	1.57467i	0.0403763	+	0.0699337i
$508$	18.0425	−	33.6960i	0.800507	−	1.49502i
$509$	6.65860	−	11.5330i	0.295137	−	0.511193i	−0.679880	−	0.733324i	$-0.737968\pi$
$509$	6.65860	−	11.5330i	0.295137	−	0.511193i	0.975017	+	0.222131i	$0.0713013\pi$
$510$	−0.925282	−	1.32137i	−0.0409722	−	0.0585111i
$511$	−0.947164	−	25.5076i	−0.0419001	−	1.12839i
$512$	−3.24658	−	22.3933i	−0.143480	−	0.989653i
$513$	−2.99429	−	1.72876i	−0.132201	−	0.0763265i
$514$	0.462285	+	28.8949i	0.0203905	+	1.27450i
$515$	−16.7772	+	1.19817i	−0.739293	+	0.0527975i
$516$	0.0209017	+	0.653058i	0.000920145	+	0.0287493i
$517$			10.2191i			0.449435i
$518$	14.7116	−	28.9270i	0.646390	−	1.27098i
$519$		−	1.69092i		−	0.0742230i
$520$	−5.52039	+	4.13499i	−0.242085	+	0.181331i
$521$	11.1481	−	6.43636i	0.488407	−	0.281982i	−0.235506	−	0.971873i	$-0.575675\pi$
$521$	11.1481	−	6.43636i	0.488407	−	0.281982i	0.723913	+	0.689891i	$0.242342\pi$
$522$	−21.3310	+	0.341270i	−0.933632	+	0.0149370i
$523$	−0.486030	+	0.841829i	−0.0212526	+	0.0368106i	−0.876456	−	0.481482i	$-0.840099\pi$
$523$	−0.486030	+	0.841829i	−0.0212526	+	0.0368106i	0.855203	+	0.518292i	$0.173432\pi$
$524$	20.2253	−	12.5564i	0.883546	−	0.548530i
$525$	−1.91735	−	0.686647i	−0.0836800	−	0.0299677i
$526$	−7.19417	−	4.00150i	−0.313681	−	0.174474i
$527$	−16.3166	+	28.2612i	−0.710762	+	1.23108i
$528$	−0.882191	+	0.0565284i	−0.0383924	+	0.00246008i
$529$	9.41981	+	16.3156i	0.409557	+	0.709373i
$530$	14.2008	−	1.24279i	0.616845	−	0.0539832i
$531$			22.9781i			0.997165i
$532$	19.8375	−	1.37317i	0.860065	−	0.0595343i
$533$	4.45807			0.193101
$534$	−1.24193	−	2.07374i	−0.0537434	−	0.0897397i
$535$	17.2797	−	1.23405i	0.747067	−	0.0533527i
$536$	−19.4789	−	30.2835i	−0.841358	−	1.30805i
$537$	1.10812	−	1.91932i	0.0478190	−	0.0828249i
$538$	32.8923	+	18.2952i	1.41809	+	0.788761i
$539$	4.36507	−	9.05099i	0.188017	−	0.389854i
$540$	0.424247	+	4.09272i	0.0182567	+	0.176122i
$541$	−1.15477	−	0.666704i	−0.0496472	−	0.0286638i	0.474971	−	0.880001i	$-0.342459\pi$
$541$	−1.15477	−	0.666704i	−0.0496472	−	0.0286638i	−0.524618	+	0.851338i	$0.675792\pi$
$542$	−0.429910	−	26.8714i	−0.0184662	−	1.15422i
$543$	0.336413	+	0.582684i	0.0144369	+	0.0250054i
$544$	−1.49766	−	18.6838i	−0.0642117	−	0.801062i
$545$	−15.3020	+	31.4922i	−0.655467	+	1.34898i
$546$	0.526596	−	0.342540i	0.0225362	−	0.0146593i
$547$			16.3516i			0.699145i	0.936909	+	0.349572i	$0.113673\pi$
$547$			16.3516i			0.699145i	−0.936909	+	0.349572i	$0.886327\pi$
$548$	0.932539	+	29.1365i	0.0398361	+	1.24465i
$549$	11.5202	+	19.9535i	0.491668	+	0.851595i
$550$	7.87887	−	6.39988i	0.335956	−	0.272892i
$551$	9.52338	−	16.4950i	0.405710	−	0.702710i
$552$	0.0426091	+	0.887149i	0.00181356	+	0.0377596i
$553$	4.55173	+	7.24861i	0.193559	+	0.308242i
$554$	20.2166	+	11.2447i	0.858920	+	0.477743i
$555$	−2.47287	+	1.67331i	−0.104967	+	0.0710280i
$556$	−25.6911	−	13.7563i	−1.08954	−	0.583396i
$557$	15.5495	+	26.9325i	0.658854	+	1.14117i	0.980913	+	0.194449i	$0.0622918\pi$
$557$	15.5495	+	26.9325i	0.658854	+	1.14117i	−0.322059	+	0.946720i	$0.604375\pi$
$558$	35.5643	−	21.2988i	1.50556	−	0.901650i
$559$	2.31424			0.0978820
$560$	−15.1724	−	18.1603i	−0.641153	−	0.767413i
$561$	−0.732274			−0.0309167
$562$	11.0851	−	6.63864i	0.467596	−	0.280034i
$563$	−3.32761	−	5.76359i	−0.140242	−	0.242906i	0.787346	−	0.616512i	$-0.211455\pi$
$563$	−3.32761	−	5.76359i	−0.140242	−	0.242906i	−0.927588	+	0.373606i	$0.878121\pi$
$564$	−1.93232	−	1.03466i	−0.0813655	−	0.0435672i
$565$	18.5304	+	27.3849i	0.779581	+	1.15209i
$566$	−19.5831	−	10.8924i	−0.823140	−	0.457842i
$567$	0.862697	+	23.2329i	0.0362298	+	0.975689i
$568$	14.4074	−	0.691974i	0.604519	−	0.0290346i
$569$	2.06702	−	3.58018i	0.0866540	−	0.150089i	−0.819441	−	0.573164i	$-0.805716\pi$
$569$	2.06702	−	3.58018i	0.0866540	−	0.150089i	0.906095	+	0.423075i	$0.139049\pi$
$570$	−1.65811	−	0.773135i	−0.0694504	−	0.0323831i
$571$	15.1266	+	26.2001i	0.633030	+	1.09644i	0.986929	+	0.161156i	$0.0515223\pi$
$571$	15.1266	+	26.2001i	0.633030	+	1.09644i	−0.353899	+	0.935284i	$0.615144\pi$
$572$	0.100160	+	3.12943i	0.00418789	+	0.130848i
$573$			2.76817i			0.115642i
$574$	0.812003	+	15.2738i	0.0338924	+	0.637518i
$575$	−6.30262	−	8.01789i	−0.262838	−	0.334369i
$576$	−9.87419	+	21.6665i	−0.411425	+	0.902769i
$577$	−10.8896	−	18.8613i	−0.453340	−	0.785208i	0.545251	−	0.838273i	$-0.316434\pi$
$577$	−10.8896	−	18.8613i	−0.453340	−	0.785208i	−0.998591	+	0.0530650i	$0.983101\pi$
$578$	0.136212	+	8.51389i	0.00566568	+	0.354131i
$579$	1.33886	+	0.772989i	0.0556410	+	0.0321243i
$580$	−22.5460	+	2.33709i	−0.936171	+	0.0970425i
$581$	−20.5851	−	10.8870i	−0.854014	−	0.451670i
$582$	1.90715	+	1.06078i	0.0790540	+	0.0439709i
$583$	3.23555	−	5.60414i	0.134003	−	0.232100i
$584$	−22.9500	+	14.7618i	−0.949677	+	0.610847i
$585$	7.23947	−	0.517015i	0.299315	−	0.0213759i
$586$	−5.67818	−	9.48131i	−0.234563	−	0.391669i
$587$	29.3485			1.21134			0.605671	−	0.795715i	$-0.292905\pi$
$587$	29.3485			1.21134			0.605671	+	0.795715i	$0.292905\pi$
$588$	1.26949	+	1.74179i	0.0523531	+	0.0718300i
$589$			37.0105i			1.52499i
$590$	2.12845	+	24.3210i	0.0876269	+	1.00128i
$591$	−1.41141	−	2.44464i	−0.0580578	−	0.100559i
$592$	−34.6228	+	2.21853i	−1.42299	+	0.0911811i
$593$	9.38410	−	16.2537i	0.385359	−	0.667461i	−0.606460	−	0.795114i	$-0.707411\pi$
$593$	9.38410	−	16.2537i	0.385359	−	0.667461i	0.991819	+	0.127653i	$0.0407444\pi$
$594$	1.63233	+	0.907925i	0.0669753	+	0.0372526i
$595$	−11.5806	−	15.8163i	−0.474759	−	0.648404i
$596$	−11.5556	+	7.17401i	−0.473334	+	0.293859i
$597$	−0.391729	+	0.678495i	−0.0160324	+	0.0277689i
$598$	3.14540	−	0.0503227i	0.128625	−	0.00205785i
$599$	−0.724292	+	0.418170i	−0.0295938	+	0.0170860i	−0.514724	−	0.857356i	$-0.672106\pi$
$599$	−0.724292	+	0.418170i	−0.0295938	+	0.0170860i	0.485130	+	0.874442i	$0.338772\pi$
$600$	0.412431	+	2.13779i	0.0168374	+	0.0872749i
$601$			19.1094i			0.779488i	0.920923	+	0.389744i	$0.127436\pi$
$601$			19.1094i			0.779488i	−0.920923	+	0.389744i	$0.872564\pi$
$602$	0.421521	+	7.92885i	0.0171799	+	0.323156i
$603$			37.8897i			1.54299i
$604$	−0.0802381	−	2.50698i	−0.00326484	−	0.102008i
$605$	1.42390	+	19.9381i	0.0578899	+	0.810599i
$606$	0.0321024	+	2.00655i	0.00130407	+	0.0815105i
$607$	2.44461	+	1.41140i	0.0992237	+	0.0572868i	0.548791	−	0.835960i	$-0.315088\pi$
$607$	2.44461	+	1.41140i	0.0992237	+	0.0572868i	−0.449567	+	0.893247i	$0.648422\pi$
$608$	−12.0660	−	17.5018i	−0.489340	−	0.709791i
$609$	2.06305	−	0.0766064i	0.0835990	−	0.00310425i
$610$	14.0417	+	20.0525i	0.568532	+	0.811902i
$611$	−3.88172	+	6.72334i	−0.157038	+	0.271997i
$612$	−9.31037	+	17.3879i	−0.376350	+	0.702866i
$613$	−1.09983	−	1.90496i	−0.0444218	−	0.0769408i	0.842960	−	0.537977i	$-0.180811\pi$
$613$	−1.09983	−	1.90496i	−0.0444218	−	0.0769408i	−0.887381	+	0.461036i	$0.847478\pi$
$614$	−39.0655	+	23.3956i	−1.57655	+	0.944168i
$615$	0.615017	−	1.26573i	0.0247999	−	0.0510392i
$616$	−10.7035	+	0.913160i	−0.431257	+	0.0367923i
$617$			5.71433i			0.230050i	0.993363	+	0.115025i	$0.0366949\pi$
$617$			5.71433i			0.230050i	−0.993363	+	0.115025i	$0.963305\pi$
$618$	−0.841444	−	1.40503i	−0.0338479	−	0.0565185i
$619$	−11.3244	+	6.53816i	−0.455167	+	0.262791i	−0.710010	−	0.704192i	$-0.751310\pi$
$619$	−11.3244	+	6.53816i	−0.455167	+	0.262791i	0.254843	+	0.966982i	$0.417976\pi$
$620$	35.6698	−	25.8378i	1.43254	−	1.03767i
$621$	0.938327	−	1.62523i	0.0376538	−	0.0652182i
$622$	−19.4232	−	10.8034i	−0.778798	−	0.433178i
$623$	−15.6207	−	24.8759i	−0.625830	−	0.996631i
$624$	−0.601883	−	0.297909i	−0.0240946	−	0.0119259i
$625$	−18.0861	−	17.2596i	−0.723445	−	0.690382i
$626$	−0.409799	−	25.6143i	−0.0163788	−	1.02375i
$627$	−0.719233	+	0.415249i	−0.0287234	+	0.0165835i
$628$	−0.330182	−	10.3163i	−0.0131757	−	0.411666i
$629$	−28.7391			−1.14590
$630$	3.08996	+	24.7090i	0.123107	+	0.984432i
$631$		−	39.1013i		−	1.55660i	−0.627893	−	0.778300i	$-0.716082\pi$
$631$		−	39.1013i		−	1.55660i	0.627893	−	0.778300i	$-0.283918\pi$
$632$	4.18968	−	8.13467i	0.166656	−	0.323580i
$633$	2.00310	+	3.46948i	0.0796162	+	0.137899i
$634$	0.00744227	+	0.465177i	0.000295570	+	0.0184745i
$635$	−35.3926	+	23.9490i	−1.40451	+	0.950386i
$636$	0.732092	+	1.17922i	0.0290293	+	0.0467590i
$637$	6.30989	−	4.29675i	0.250007	−	0.170244i
$638$	−5.00158	+	8.99219i	−0.198014	+	0.356004i
$639$	−13.1446	−	7.58903i	−0.519992	−	0.300217i
$640$	−8.44430	+	23.8473i	−0.333790	+	0.942647i
$641$	3.00306	+	5.20146i	0.118614	+	0.205445i	0.919219	−	0.393748i	$-0.128822\pi$
$641$	3.00306	+	5.20146i	0.118614	+	0.205445i	−0.800605	+	0.599193i	$0.795488\pi$
$642$	0.866646	+	1.44711i	0.0342038	+	0.0571128i
$643$	7.80386			0.307754			0.153877	−	0.988090i	$-0.450824\pi$
$643$	7.80386			0.307754			0.153877	+	0.988090i	$0.450824\pi$
$644$	0.745321	+	10.7673i	0.0293698	+	0.424292i
$645$	0.319263	−	0.657057i	0.0125710	−	0.0258716i
$646$	−9.04749	−	15.1073i	−0.355969	−	0.594390i
$647$	31.5546	−	18.2181i	1.24054	−	0.716226i	0.271336	−	0.962485i	$-0.412535\pi$
$647$	31.5546	−	18.2181i	1.24054	−	0.716226i	0.969204	+	0.246259i	$0.0792013\pi$
$648$	20.9033	−	13.4453i	0.821160	−	0.528183i
$649$	9.59789	+	5.54134i	0.376750	+	0.217517i
$650$	7.61466	−	1.21782i	0.298671	−	0.0477667i
$651$	−3.39728	+	2.13331i	−0.133150	+	0.0836109i
$652$	−15.9002	+	9.87132i	−0.622702	+	0.386591i
$653$	−13.3970	+	23.2044i	−0.524267	+	0.908057i	0.475334	+	0.879805i	$0.342327\pi$
$653$	−13.3970	+	23.2044i	−0.524267	+	0.908057i	−0.999601	+	0.0282515i	$0.991006\pi$
$654$	−3.40870	+	0.0545351i	−0.133291	+	0.00213249i
$655$	−26.5483	+	1.89598i	−1.03733	+	0.0740821i
$656$	13.6090	−	9.06454i	0.531343	−	0.353911i
$657$	28.7142			1.12025
$658$	−23.7419	−	12.0746i	−0.925556	−	0.470717i
$659$	−17.4318			−0.679047			−0.339524	−	0.940597i	$-0.610266\pi$
$659$	−17.4318			−0.679047			−0.339524	+	0.940597i	$0.610266\pi$
$660$	0.902320	+	0.403286i	0.0351228	+	0.0156979i
$661$	8.06543	+	13.9697i	0.313709	+	0.543360i	0.979162	−	0.203080i	$-0.0650951\pi$
$661$	8.06543	+	13.9697i	0.313709	+	0.543360i	−0.665453	+	0.746439i	$0.731762\pi$
$662$	0.0165820	+	1.03645i	0.000644479	+	0.0402829i
$663$	−0.481778	−	0.278155i	−0.0187107	−	0.0108026i
$664$	1.19429	+	24.8660i	0.0463475	+	0.964986i
$665$	−20.3433	−	8.96758i	−0.788878	−	0.347748i
$666$	31.9044	+	17.7457i	1.23627	+	0.687632i
$667$	8.95308	+	5.16906i	0.346665	+	0.200147i
$668$	−8.23273	−	4.40822i	−0.318534	−	0.170559i
$669$	1.01414	−	0.585513i	0.0392089	−	0.0226372i
$670$	3.50970	+	40.1040i	0.135592	+	1.54935i
$671$	11.1127			0.429001
$672$	0.911042	−	2.11638i	0.0351442	−	0.0816412i
$673$		−	18.9217i		−	0.729376i	−0.931130	−	0.364688i	$-0.881176\pi$
$673$		−	18.9217i		−	0.729376i	0.931130	−	0.364688i	$-0.118824\pi$
$674$	19.6032	+	32.7330i	0.755087	+	1.26083i
$675$	1.71066	−	4.27043i	0.0658433	−	0.164369i
$676$	11.1502	−	20.8240i	0.428855	−	0.800925i
$677$	−22.4272	−	12.9483i	−0.861947	−	0.497645i	0.00271669	−	0.999996i	$-0.499135\pi$
$677$	−22.4272	−	12.9483i	−0.861947	−	0.497645i	−0.864664	+	0.502351i	$0.832469\pi$
$678$	−1.56493	+	2.81355i	−0.0601009	+	0.108054i
$679$	23.4428	+	12.3984i	0.899652	+	0.475807i
$680$	−8.24385	+	19.2665i	−0.316137	+	0.738837i
$681$	1.63475	−	2.83148i	0.0626439	−	0.108502i
$682$	−0.319840	−	19.9915i	−0.0122473	−	0.765513i
$683$	41.4706	−	23.9431i	1.58683	−	0.916157i	0.593005	−	0.805199i	$-0.297942\pi$
$683$	41.4706	−	23.9431i	1.58683	−	0.916157i	0.993825	−	0.110957i	$-0.0353917\pi$
$684$	0.715582	+	22.3579i	0.0273610	+	0.854875i
$685$	14.2441	−	29.3149i	0.544239	−	1.12007i
$686$	15.8705	+	20.8358i	0.605937	+	0.795513i
$687$	3.43156			0.130922
$688$	7.06462	−	4.70552i	0.269336	−	0.179396i
$689$	4.25747	−	2.45805i	0.162197	−	0.0936442i
$690$	0.419639	−	0.899980i	0.0159754	−	0.0342617i
$691$	−20.6242	−	11.9074i	−0.784581	−	0.452978i	0.0534703	−	0.998569i	$-0.482972\pi$
$691$	−20.6242	−	11.9074i	−0.784581	−	0.452978i	−0.838051	+	0.545591i	$0.816305\pi$
$692$	−18.6627	+	11.5864i	−0.709451	+	0.440447i
$693$	9.99256	+	5.28486i	0.379586	+	0.200755i
$694$	15.4913	−	27.8514i	0.588044	−	1.05723i
$695$	18.2596	+	26.9846i	0.692626	+	1.02359i
$696$	−1.19393	−	1.85619i	−0.0452558	−	0.0703587i
$697$	11.7303	−	6.77249i	0.444317	−	0.256527i
$698$	2.76849	−	1.65800i	0.104789	−	0.0627561i
$699$			3.12108i			0.118050i
$700$	5.55933	+	25.8668i	0.210123	+	0.977675i
$701$		−	19.4072i		−	0.733001i	−0.930418	−	0.366501i	$-0.880556\pi$
$701$		−	19.4072i		−	0.733001i	0.930418	−	0.366501i	$-0.119444\pi$
$702$	0.729067	+	1.21738i	0.0275169	+	0.0459471i
$703$	−28.2272	+	16.2970i	−1.06461	+	0.614653i
$704$	6.66878	+	9.34945i	0.251339	+	0.352371i
$705$	1.37337	+	2.02962i	0.0517243	+	0.0764398i
$706$	10.7464	+	5.97729i	0.404446	+	0.224958i
$707$	0.904920	+	24.3700i	0.0340330	+	0.916527i
$708$	−2.01958	+	1.25381i	−0.0759005	+	0.0471211i
$709$	−9.70905	−	5.60552i	−0.364631	−	0.210520i	0.306479	−	0.951877i	$-0.400849\pi$
$709$	−9.70905	−	5.60552i	−0.364631	−	0.210520i	−0.671110	+	0.741357i	$0.734182\pi$
$710$	−14.6157	−	6.81496i	−0.548519	−	0.255761i
$711$	−8.33860	+	4.81429i	−0.312722	+	0.180550i
$712$	−14.3782	+	27.9167i	−0.538846	+	1.04622i
$713$	−20.0884			−0.752316
$714$	0.865236	−	1.70129i	0.0323807	−	0.0636691i
$715$	1.52990	−	3.14859i	0.0572149	−	0.117750i
$716$	−28.7766	+	0.921020i	−1.07543	+	0.0344201i
$717$	−3.74486	+	2.16210i	−0.139854	+	0.0807450i
$718$	−15.4452	+	0.247104i	−0.576408	+	0.00922184i
$719$	15.1911	−	26.3118i	0.566534	−	0.981265i	−0.430371	−	0.902652i	$-0.641617\pi$
$719$	15.1911	−	26.3118i	0.566534	−	0.981265i	0.996905	−	0.0786133i	$-0.0250492\pi$
$720$	21.0485	−	16.2982i	0.784429	−	0.607398i
$721$	−10.5835	−	16.8542i	−0.394151	−	0.627684i
$722$	6.02886	+	3.35334i	0.224371	+	0.124798i
$723$	−2.90406	−	1.67666i	−0.108003	−	0.0623556i
$724$	4.12597	−	7.70562i	0.153341	−	0.286377i
$725$	23.5249	+	9.42368i	0.873695	+	0.349987i
$726$	−1.66974	+	0.999975i	−0.0619698	+	0.0371125i
$727$		−	5.27724i		−	0.195722i	−0.995200	−	0.0978611i	$-0.968800\pi$
$727$		−	5.27724i		−	0.195722i	0.995200	−	0.0978611i	$-0.0312001\pi$
$728$	−7.38892	−	3.46495i	−0.273852	−	0.128420i
$729$	−25.7285			−0.952909
$730$	30.3923	−	2.65978i	1.12487	−	0.0984429i
$731$	6.08935	−	3.51569i	0.225223	−	0.130032i
$732$	−1.12514	+	2.10130i	−0.0415863	+	0.0776662i
$733$	−43.5098	−	25.1204i	−1.60707	−	0.927843i	−0.990021	−	0.140920i	$-0.954994\pi$
$733$	−43.5098	−	25.1204i	−1.60707	−	0.927843i	−0.617051	−	0.786923i	$-0.711673\pi$
$734$	9.71988	−	17.4751i	0.358767	−	0.645017i
$735$	−0.349442	−	2.38426i	−0.0128894	−	0.0879447i
$736$	9.49954	−	6.54912i	0.350158	−	0.241404i
$737$	15.8264	+	9.13738i	0.582973	+	0.336580i
$738$	−17.2042	+	0.275246i	−0.633294	+	0.0101319i
$739$	16.0613	+	27.8190i	0.590825	+	1.02334i	0.994122	+	0.108270i	$0.0345310\pi$
$739$	16.0613	+	27.8190i	0.590825	+	1.02334i	−0.403296	+	0.915069i	$0.632136\pi$
$740$	35.4128	+	15.8275i	1.30180	+	0.581830i
$741$	−0.630930			−0.0231778
$742$	9.19701	+	14.1388i	0.337633	+	0.519053i
$743$	−9.26158			−0.339774			−0.169887	−	0.985464i	$-0.554340\pi$
$743$	−9.26158			−0.339774			−0.169887	+	0.985464i	$0.554340\pi$
$744$	3.81257	+	1.96362i	0.139775	+	0.0719898i
$745$	15.1682	−	1.08325i	0.555718	−	0.0396873i
$746$	−0.326251	−	20.3922i	−0.0119449	−	0.746611i
$747$	13.0981	−	22.6865i	0.479233	−	0.830056i
$748$	5.01762	+	8.08215i	0.183463	+	0.295513i
$749$	10.9005	+	17.3590i	0.398295	+	0.634284i
$750$	0.704726	−	2.32995i	0.0257330	−	0.0850777i
$751$	−38.8410	−	22.4249i	−1.41733	−	0.818294i	−0.421264	−	0.906938i	$-0.638413\pi$
$751$	−38.8410	−	22.4249i	−1.41733	−	0.818294i	−0.996063	+	0.0886436i	$0.971747\pi$
$752$	1.82087	+	28.4168i	0.0664003	+	1.03625i
$753$	0.662303	−	0.382381i	0.0241357	−	0.0139347i
$754$	−6.70632	+	4.01629i	−0.244230	+	0.146265i
$755$	−1.22560	+	2.52233i	−0.0446041	+	0.0917971i
$756$	−4.03809	+	2.71960i	−0.146864	+	0.0989110i
$757$	−20.8029			−0.756093			−0.378047	−	0.925787i	$-0.623404\pi$
$757$	−20.8029			−0.756093			−0.378047	+	0.925787i	$0.623404\pi$
$758$	9.61528	−	5.75841i	0.349243	−	0.209155i
$759$	−0.225387	−	0.390382i	−0.00818104	−	0.0141700i
$760$	2.82840	+	23.5982i	0.102597	+	0.855997i
$761$	1.83269	+	1.05810i	0.0664348	+	0.0383562i	0.532849	−	0.846210i	$-0.321121\pi$
$761$	1.83269	+	1.05810i	0.0664348	+	0.0383562i	−0.466415	+	0.884566i	$0.654455\pi$
$762$	−3.63627	−	2.02254i	−0.131728	−	0.0732690i
$763$	−41.3994	+	1.53727i	−1.49876	+	0.0556528i
$764$	30.5524	−	18.9678i	1.10535	−	0.686230i
$765$	18.2634	−	12.3583i	0.660316	−	0.446814i
$766$	−32.6242	+	0.521949i	−1.17876	+	0.0188588i
$767$	4.20976	+	7.29152i	0.152006	+	0.263282i
$768$	−2.44309	+	0.314383i	−0.0881573	+	0.0113443i
$769$		−	28.4014i		−	1.02418i	−0.858931	−	0.512091i	$-0.828871\pi$
$769$		−	28.4014i		−	1.02418i	0.858931	−	0.512091i	$-0.171129\pi$
$770$	11.0661	+	4.66810i	0.398793	+	0.168227i
$771$	3.14592			0.113298
$772$	−0.642473	−	20.0736i	−0.0231231	−	0.722466i
$773$	41.9911	−	24.2436i	1.51031	−	0.871980i	0.510387	−	0.859945i	$-0.329502\pi$
$773$	41.9911	−	24.2436i	1.51031	−	0.871980i	0.999928	−	0.0120354i	$-0.00383107\pi$
$774$	−8.93090	+	0.142884i	−0.321015	+	0.00513585i
$775$	−48.7437	+	6.99786i	−1.75092	+	0.251371i
$776$	−1.36009	−	28.3179i	−0.0488243	−	1.01655i
$777$	−3.12298	−	1.65168i	−0.112036	−	0.0592537i
$778$	10.2358	−	18.4027i	0.366972	−	0.659768i
$779$	7.68093	−	13.3038i	0.275198	−	0.476656i
$780$	0.440466	+	0.608076i	0.0157712	+	0.0217726i
$781$	−6.33983	+	3.66030i	−0.226857	+	0.130976i
$782$	8.19989	−	4.91076i	0.293227	−	0.175608i
$783$			4.66329i			0.166652i
$784$	10.5255	−	25.9464i	0.375909	−	0.926656i
$785$	−5.04338	+	10.3795i	−0.180006	+	0.370460i
$786$	−1.33150	−	2.22332i	−0.0474932	−	0.0793032i
$787$	−21.5827	−	37.3824i	−0.769342	−	1.33254i	−0.937920	−	0.346851i	$-0.887251\pi$
$787$	−21.5827	−	37.3824i	−0.769342	−	1.33254i	0.168578	−	0.985688i	$-0.446082\pi$
$788$	−17.3104	+	32.3288i	−0.616659	+	1.15166i
$789$	−0.448077	+	0.776092i	−0.0159520	+	0.0276296i
$790$	−8.37997	+	5.86805i	−0.298146	+	0.208776i
$791$	−18.2909	+	34.5843i	−0.650350	+	1.22968i
$792$	−0.579741	−	12.0706i	−0.0206002	−	0.428910i
$793$	7.31126	+	4.22116i	0.259630	+	0.149898i
$794$	−50.7730	+	0.812308i	−1.80187	+	0.0288277i
$795$	−0.110543	−	1.54788i	−0.00392057	−	0.0548975i
$796$	10.1727	−	0.325587i	0.360563	−	0.0115401i
$797$			29.9946i			1.06246i	0.847226	+	0.531232i	$0.178271\pi$
$797$			29.9946i			1.06246i	−0.847226	+	0.531232i	$0.821729\pi$
$798$	−0.114919	−	2.16164i	−0.00406809	−	0.0765211i
$799$			23.5877i			0.834473i
$800$	20.7689	−	19.2004i	0.734290	−	0.678836i
$801$	28.6165	−	16.5218i	1.01112	−	0.583768i
$802$	0.110455	+	6.90394i	0.00390030	+	0.243787i
$803$	6.92464	−	11.9938i	0.244365	−	0.423253i
$804$	−3.33018	+	2.06747i	−0.117446	+	0.0729140i
$805$	4.86739	−	11.0418i	0.171553	−	0.389173i
$806$	7.38334	−	13.2743i	0.260067	−	0.467567i
$807$	2.04865	−	3.54836i	0.0721157	−	0.124908i
$808$	21.9264	−	14.1034i	0.771369	−	0.496156i
$809$	5.50711	+	9.53859i	0.193620	+	0.335359i	0.946447	−	0.322859i	$-0.104644\pi$
$809$	5.50711	+	9.53859i	0.193620	+	0.335359i	−0.752827	+	0.658218i	$0.771311\pi$
$810$	−27.6819	+	2.42258i	−0.972644	+	0.0851209i
$811$		−	47.9974i		−	1.68542i	−0.538370	−	0.842709i	$-0.680960\pi$
$811$		−	47.9974i		−	1.68542i	0.538370	−	0.842709i	$-0.319040\pi$
$812$	−14.9818	−	22.2451i	−0.525757	−	0.780649i
$813$	−2.92561			−0.102605
$814$	15.1063	−	9.04689i	0.529476	−	0.317093i
$815$	20.8711	−	1.49054i	0.731084	−	0.0522112i
$816$	−2.03628	+	0.130479i	−0.0712839	+	0.00456768i
$817$	3.98727	−	6.90615i	0.139497	−	0.241616i
$818$	−17.3102	+	31.1215i	−0.605238	+	1.08814i
$819$	4.56685	+	7.27269i	0.159579	+	0.254128i
$820$	−18.1841	+	1.88494i	−0.635016	+	0.0658251i
$821$	−34.5914	−	19.9714i	−1.20725	−	0.697005i	−0.245091	−	0.969500i	$-0.578818\pi$
$821$	−34.5914	−	19.9714i	−1.20725	−	0.697005i	−0.962157	+	0.272495i	$0.912151\pi$
$822$	3.17304	−	0.0507648i	0.110672	−	0.00177063i
$823$	−5.81026	−	10.0637i	−0.202533	−	0.350797i	0.746811	−	0.665036i	$-0.231584\pi$
$823$	−5.81026	−	10.0637i	−0.202533	−	0.350797i	−0.949344	+	0.314239i	$0.898251\pi$
$824$	−9.74169	+	18.9145i	−0.339368	+	0.658917i
$825$	−0.682884	−	0.868732i	−0.0237750	−	0.0302454i
$826$	−24.2148	+	15.7512i	−0.842540	+	0.548054i
$827$		−	4.81807i		−	0.167541i	−0.996485	−	0.0837703i	$-0.973304\pi$
$827$		−	4.81807i		−	0.167541i	0.996485	−	0.0837703i	$-0.0266962\pi$
$828$	−12.1353	+	0.388401i	−0.421731	+	0.0134979i
$829$	1.81411	+	3.14212i	0.0630065	+	0.109130i	0.895808	−	0.444441i	$-0.146598\pi$
$829$	1.81411	+	3.14212i	0.0630065	+	0.109130i	−0.832801	+	0.553572i	$0.813264\pi$
$830$	11.7621	−	25.2256i	0.408268	−	0.875593i
$831$	1.25916	−	2.18092i	0.0436796	−	0.0756553i
$832$	0.836131	+	8.68432i	0.0289876	+	0.301075i
$833$	10.0755	−	20.8915i	0.349094	−	0.723848i
$834$	−1.54206	+	2.77243i	−0.0533973	+	0.0960013i
$835$	5.85131	+	8.64725i	0.202493	+	0.299250i
$836$	9.51139	+	5.09287i	0.328958	+	0.176141i
$837$	−4.53070	−	7.84741i	−0.156604	−	0.271246i
$838$	14.4150	+	24.0698i	0.497957	+	0.831479i
$839$	−29.9571			−1.03423			−0.517117	−	0.855914i	$-0.672995\pi$
$839$	−29.9571			−1.03423			−0.517117	+	0.855914i	$0.672995\pi$
$840$	−2.00311	+	1.61984i	−0.0691138	+	0.0558899i
$841$	3.31084			0.114167
$842$	−10.9972	−	18.3629i	−0.378988	−	0.632827i
$843$	−0.703289	−	1.21813i	−0.0242226	−	0.0419547i
$844$	24.5673	−	45.8816i	0.845641	−	1.57931i
$845$	−21.8725	+	14.8004i	−0.752438	+	0.509150i
$846$	14.5648	−	26.1857i	0.500750	−	0.900283i
$847$	−20.0296	+	12.5775i	−0.688225	+	0.432167i
$848$	7.99871	−	16.1603i	0.274677	−	0.554946i
$849$	−1.21970	+	2.11259i	−0.0418601	+	0.0725038i
$850$	18.1860	−	14.7722i	0.623775	−	0.506683i
$851$	−8.84562	−	15.3211i	−0.303224	−	0.525199i
$852$	−0.0502298	−	1.56940i	−0.00172084	−	0.0537666i
$853$		−	35.0267i		−	1.19929i	−0.800265	−	0.599646i	$-0.795308\pi$
$853$		−	35.0267i		−	1.19929i	0.800265	−	0.599646i	$-0.204692\pi$
$854$	−13.1305	+	25.8180i	−0.449315	+	0.883475i
$855$	10.9302	−	22.4948i	0.373805	−	0.769304i
$856$	10.0335	−	19.4810i	0.342936	−	0.665845i
$857$	11.5132	+	19.9415i	0.393285	+	0.681190i	0.992881	−	0.119113i	$-0.0380052\pi$
$857$	11.5132	+	19.9415i	0.393285	+	0.681190i	−0.599596	+	0.800303i	$0.704672\pi$
$858$	0.340802	−	0.00545242i	0.0116348	−	0.000186143i
$859$	32.2382	+	18.6127i	1.09995	+	0.635057i	0.936208	−	0.351446i	$-0.114310\pi$
$859$	32.2382	+	18.6127i	1.09995	+	0.635057i	0.163743	+	0.986503i	$0.447643\pi$
$860$	−9.43960	+	0.978498i	−0.321888	+	0.0333665i
$861$	1.66392	−	0.0617856i	0.0567062	−	0.00210565i
$862$	−5.49270	+	9.87516i	−0.187082	+	0.336349i
$863$	21.3463	−	36.9728i	0.726635	−	1.25857i	−0.231662	−	0.972796i	$-0.574416\pi$
$863$	21.3463	−	36.9728i	0.726635	−	1.25857i	0.958297	−	0.285773i	$-0.0922503\pi$
$864$	4.70089	+	2.23386i	0.159927	+	0.0759975i
$865$	24.4973	−	1.74950i	0.832932	−	0.0594848i
$866$	28.9621	−	17.3448i	0.984172	−	0.589402i
$867$	0.926945			0.0314807
$868$	46.8240	+	22.8783i	1.58931	+	0.776541i
$869$			4.64401i			0.157537i
$870$	0.215122	+	2.45812i	0.00729333	+	0.0833381i
$871$	6.94167	+	12.0233i	0.235210	+	0.407395i
$872$	23.9587	+	37.2483i	0.811343	+	1.26139i
$873$	−14.9164	+	25.8359i	−0.504843	+	0.874414i
$874$	5.26912	−	9.47319i	0.178231	−	0.320435i
$875$	7.96406	−	28.4881i	0.269234	−	0.963075i
$876$	1.56680	+	2.52373i	0.0529374	+	0.0852690i
$877$	11.4970	−	19.9134i	0.388226	−	0.672426i	−0.603985	−	0.796995i	$-0.706421\pi$
$877$	11.4970	−	19.9134i	0.388226	−	0.672426i	0.992211	+	0.124569i	$0.0397548\pi$
$878$	0.272502	+	17.0326i	0.00919650	+	0.574824i
$879$	−1.04190	+	0.601539i	−0.0351423	+	0.0202894i
$880$	−1.73171	−	12.7223i	−0.0583761	−	0.428869i
$881$			0.715575i			0.0241083i	0.999927	+	0.0120542i	$0.00383706\pi$
$881$			0.715575i			0.0241083i	−0.999927	+	0.0120542i	$0.996163\pi$
$882$	−24.0852	+	16.9712i	−0.810991	+	0.571450i
$883$		−	19.0102i		−	0.639743i	−0.947461	−	0.319871i	$-0.896360\pi$
$883$		−	19.0102i		−	0.639743i	0.947461	−	0.319871i	$-0.103640\pi$
$884$	0.231189	+	7.22335i	0.00777574	+	0.242948i
$885$	2.65096	−	0.189321i	0.0891111	−	0.00636397i
$886$	50.6937	−	0.811039i	1.70309	−	0.0272474i
$887$	−7.73543	−	4.46605i	−0.259730	−	0.149955i	0.364481	−	0.931211i	$-0.381246\pi$
$887$	−7.73543	−	4.46605i	−0.259730	−	0.149955i	−0.624212	+	0.781255i	$0.714580\pi$
$888$	0.181187	+	3.77243i	0.00608024	+	0.126594i
$889$	−44.6972	−	23.6394i	−1.49910	−	0.792841i
$890$	28.7585	−	20.1381i	0.963988	−	0.675029i
$891$	−6.30711	+	10.9242i	−0.211296	+	0.365976i
$892$	−13.4113	−	7.18110i	−0.449044	−	0.240441i
$893$	13.3758	+	23.1676i	0.447605	+	0.775275i
$894$	0.760743	+	1.27027i	0.0254431	+	0.0424843i
$895$	28.9528	+	14.0682i	0.967786	+	0.470247i
$896$	−29.6012	+	4.44646i	−0.988906	+	0.148546i
$897$		−	0.342453i		−	0.0114342i
$898$	30.4136	−	18.2141i	1.01491	−	0.607813i
$899$	43.2298	−	24.9588i	1.44180	−	0.832421i
$900$	−29.3106	+	5.16982i	−0.977018	+	0.172327i
$901$	7.46831	−	12.9355i	0.248805	−	0.430944i
$902$	−4.03394	+	7.25250i	−0.134316	+	0.241482i
$903$	0.863762	−	0.0320737i	0.0287442	−	0.00106735i
$904$	41.7764	−	2.00649i	1.38946	−	0.0667348i
$905$	−8.09360	+	5.47667i	−0.269040	+	0.182051i
$906$	−0.273016	+	0.00436793i	−0.00907035	+	0.000145115i
$907$	16.6255	−	9.59872i	0.552039	−	0.318720i	−0.197905	−	0.980221i	$-0.563414\pi$
$907$	16.6255	−	9.59872i	0.552039	−	0.318720i	0.749944	+	0.661501i	$0.230080\pi$
$908$	−42.4527	+	1.35873i	−1.40884	+	0.0450911i
$909$	−27.4335			−0.909913
$910$	5.50740	+	7.27468i	0.182569	+	0.241153i
$911$			11.8154i			0.391462i	0.980658	+	0.195731i	$0.0627079\pi$
$911$			11.8154i			0.391462i	−0.980658	+	0.195731i	$0.937292\pi$
$912$	−1.92602	+	1.28286i	−0.0637769	+	0.0424798i
$913$	−6.31739	−	10.9420i	−0.209075	−	0.362129i
$914$	−42.6292	+	0.682017i	−1.41005	+	0.0225591i
$915$	2.20710	−	1.49347i	0.0729644	−	0.0493726i
$916$	−23.5134	−	37.8743i	−0.776905	−	1.25140i
$917$	−16.7474	−	26.6702i	−0.553048	−	0.880726i
$918$	3.76775	+	2.09567i	0.124354	+	0.0691675i
$919$	6.05833	+	3.49778i	0.199846	+	0.115381i	0.596584	−	0.802551i	$-0.296524\pi$
$919$	6.05833	+	3.49778i	0.199846	+	0.115381i	−0.396738	+	0.917932i	$0.629858\pi$
$920$	−12.8085	+	1.53519i	−0.422285	+	0.0506136i
$921$	2.47850	+	4.29288i	0.0816692	+	0.141455i
$922$	−7.86913	+	4.71267i	−0.259156	+	0.155204i
$923$	−5.56147			−0.183058
$924$	0.0807550	+	1.16663i	0.00265664	+	0.0383793i
$925$	−26.8007	−	34.0945i	−0.881201	−	1.12102i
$926$	−12.3569	+	7.40030i	−0.406072	+	0.243189i
$927$	19.3886	−	11.1940i	0.636806	−	0.367660i
$928$	−12.3059	+	25.8963i	−0.403961	+	0.850087i
$929$	−32.9599	−	19.0294i	−1.08138	−	0.624335i	−0.150112	−	0.988669i	$-0.547963\pi$
$929$	−32.9599	−	19.0294i	−1.08138	−	0.624335i	−0.931268	+	0.364334i	$0.881297\pi$
$930$	−2.75024	−	3.92753i	−0.0901840	−	0.128789i
$931$	−1.95088	−	26.2329i	−0.0639376	−	0.859749i
$932$	34.4475	−	21.3860i	1.12837	−	0.700521i
$933$	−1.20974	+	2.09533i	−0.0396051	+	0.0685981i
$934$	0.0420024	+	2.62534i	0.00137436	+	0.0859039i
$935$	−0.757645	−	10.6089i	−0.0247776	−	0.346947i
$936$	4.20359	−	8.16170i	0.137399	−	0.266773i
$937$	5.82954			0.190443			0.0952214	−	0.995456i	$-0.469644\pi$
$937$	5.82954			0.190443			0.0952214	+	0.995456i	$0.469644\pi$
$938$	−39.9289	+	25.9729i	−1.30372	+	0.848045i
$939$	−2.78874			−0.0910072
$940$	12.9905	−	29.0652i	0.423702	−	0.948001i
$941$	5.75307	+	9.96461i	0.187545	+	0.324837i	0.944431	−	0.328710i	$-0.106614\pi$
$941$	5.75307	+	9.96461i	0.187545	+	0.324837i	−0.756886	+	0.653547i	$0.773280\pi$
$942$	−1.12347	+	0.0179742i	−0.0366046	+	0.000585631i
$943$	7.22096	+	4.16902i	0.235147	+	0.135762i
$944$	27.6768	+	13.6989i	0.900802	+	0.445863i
$945$	5.41121	−	0.588942i	0.176027	−	0.0191583i
$946$	−2.09407	+	3.76487i	−0.0680841	+	0.122406i
$947$	13.0808	+	7.55218i	0.425068	+	0.245413i	0.697243	−	0.716835i	$-0.254410\pi$
$947$	13.0808	+	7.55218i	0.425068	+	0.245413i	−0.272175	+	0.962248i	$0.587743\pi$
$948$	−0.878135	−	0.470198i	−0.0285205	−	0.0152713i
$949$	9.11172	−	5.26065i	0.295779	−	0.170768i
$950$	9.48528	−	24.8218i	0.307743	−	0.805327i
$951$	0.0506458			0.00164230
$952$	−24.7059	+	2.10776i	−0.800723	+	0.0683128i
$953$			13.7981i			0.446963i	0.974708	+	0.223481i	$0.0717422\pi$
$953$			13.7981i			0.446963i	−0.974708	+	0.223481i	$0.928258\pi$
$954$	−16.2782	+	9.74872i	−0.527027	+	0.315627i
$955$	−40.1039	+	2.86407i	−1.29773	+	0.0926792i
$956$	49.5233	+	26.5173i	1.60170	+	0.857630i
$957$	0.970059	+	0.560064i	0.0313575	+	0.0181043i
$958$	28.0604	+	15.6076i	0.906591	+	0.504258i
$959$	38.5372	−	1.43099i	1.24443	−	0.0462089i
$960$	2.58099	+	0.960661i	0.0833011	+	0.0310052i
$961$	−32.9983	+	57.1547i	−1.06446	+	1.84370i
$962$	13.3752	−	0.213987i	0.431234	−	0.00689923i
$963$	−19.9693	+	11.5293i	−0.643502	+	0.371526i
$964$	1.39356	+	43.5409i	0.0448836	+	1.40236i
$965$	−9.81348	+	20.1965i	−0.315907	+	0.650149i
$966$	1.17328	−	0.0623753i	0.0377498	−	0.00200689i
$967$	−4.03799			−0.129853			−0.0649265	−	0.997890i	$-0.520681\pi$
$967$	−4.03799			−0.129853			−0.0649265	+	0.997890i	$0.520681\pi$
$968$	22.4780	+	11.5771i	0.722470	+	0.372101i
$969$	−1.66014	+	0.958479i	−0.0533312	+	0.0307908i
$970$	−13.3949	+	28.7275i	−0.430086	+	0.922384i
$971$	−4.03698	−	2.33075i	−0.129553	−	0.0747974i	0.433823	−	0.900998i	$-0.357164\pi$
$971$	−4.03698	−	2.33075i	−0.129553	−	0.0747974i	−0.563376	+	0.826201i	$0.690498\pi$
$972$	−4.33879	−	6.98871i	−0.139167	−	0.224163i
$973$	−18.0236	+	34.0788i	−0.577810	+	1.09252i
$974$	−9.81868	−	5.46128i	−0.314611	−	0.174991i
$975$	−0.119295	−	0.830950i	−0.00382050	−	0.0266117i
$976$	30.9017	−	1.98010i	0.989139	−	0.0633813i
$977$	−11.8967	+	6.86853i	−0.380608	+	0.219744i	−0.678083	−	0.734986i	$-0.737189\pi$
$977$	−11.8967	+	6.86853i	−0.380608	+	0.219744i	0.297475	+	0.954730i	$0.403856\pi$
$978$	1.04677	+	1.74788i	0.0334720	+	0.0558909i
$979$		−	15.9374i		−	0.509361i
$980$	−23.9207	+	20.1940i	−0.764120	+	0.645074i
$981$		−	46.6037i		−	1.48794i
$982$	21.0390	−	12.5999i	0.671383	−	0.402078i
$983$	10.2832	−	5.93702i	0.327984	−	0.189362i	−0.326962	−	0.945038i	$-0.606025\pi$
$983$	10.2832	−	5.93702i	0.327984	−	0.189362i	0.654946	+	0.755676i	$0.272691\pi$
$984$	−0.962945	−	1.49708i	−0.0306976	−	0.0477251i
$985$	33.9565	−	22.9773i	1.08195	−	0.732117i
$986$	−11.5447	+	20.7558i	−0.367657	+	0.660999i
$987$	−1.35562	+	2.56320i	−0.0431499	+	0.0815875i
$988$	4.32320	+	6.96360i	0.137539	+	0.221542i
$989$	3.74849	+	2.16419i	0.119195	+	0.0688173i
$990$	−5.70963	+	12.2452i	−0.181464	+	0.389177i
$991$	−45.8394	+	26.4654i	−1.45614	+	0.840701i	−0.998818	−	0.0486023i	$-0.984523\pi$
$991$	−45.8394	+	26.4654i	−1.45614	+	0.840701i	−0.457318	+	0.889303i	$0.651190\pi$
$992$	−4.45154	−	55.5344i	−0.141337	−	1.76322i
$993$	0.112843			0.00358097
$994$	−1.01298	−	19.0542i	−0.0321297	−	0.604363i
$995$	−10.2350	−	4.97319i	−0.324472	−	0.157661i
$996$	2.70865	−	0.0866926i	0.0858269	−	0.00274696i
$997$	−37.5255	+	21.6653i	−1.18844	+	0.686148i	−0.957953	−	0.286926i	$-0.907366\pi$
$997$	−37.5255	+	21.6653i	−1.18844	+	0.686148i	−0.230491	+	0.973075i	$0.574033\pi$
$998$	−0.280122	−	17.5089i	−0.00886711	−	0.554236i
$999$	3.99006	−	6.91098i	0.126240	−	0.218654i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.ba.b.19.8	✓	80
4.3	odd	2		1120.2.bq.b.719.19		80
5.4	even	2	inner	280.2.ba.b.19.33	yes	80
7.3	odd	6	inner	280.2.ba.b.59.20	yes	80
8.3	odd	2	inner	280.2.ba.b.19.21	yes	80
8.5	even	2		1120.2.bq.b.719.20		80
20.19	odd	2		1120.2.bq.b.719.22		80
28.3	even	6		1120.2.bq.b.1039.21		80
35.24	odd	6	inner	280.2.ba.b.59.21	yes	80
40.19	odd	2	inner	280.2.ba.b.19.20	yes	80
40.29	even	2		1120.2.bq.b.719.21		80
56.3	even	6	inner	280.2.ba.b.59.33	yes	80
56.45	odd	6		1120.2.bq.b.1039.22		80
140.59	even	6		1120.2.bq.b.1039.20		80
280.59	even	6	inner	280.2.ba.b.59.8	yes	80
280.269	odd	6		1120.2.bq.b.1039.19		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.8	✓	80	1.1	even	1	trivial
280.2.ba.b.19.20	yes	80	40.19	odd	2	inner
280.2.ba.b.19.21	yes	80	8.3	odd	2	inner
280.2.ba.b.19.33	yes	80	5.4	even	2	inner
280.2.ba.b.59.8	yes	80	280.59	even	6	inner
280.2.ba.b.59.20	yes	80	7.3	odd	6	inner
280.2.ba.b.59.21	yes	80	35.24	odd	6	inner
280.2.ba.b.59.33	yes	80	56.3	even	6	inner
1120.2.bq.b.719.19		80	4.3	odd	2
1120.2.bq.b.719.20		80	8.5	even	2
1120.2.bq.b.719.21		80	40.29	even	2
1120.2.bq.b.719.22		80	20.19	odd	2
1120.2.bq.b.1039.19		80	280.269	odd	6
1120.2.bq.b.1039.20		80	140.59	even	6
1120.2.bq.b.1039.21		80	28.3	even	6
1120.2.bq.b.1039.22		80	56.45	odd	6

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)

\(f(q)\)	\(=\)	\(q+(-1.21328 + 0.726608i) q^{2} +(0.0769760 + 0.133326i) q^{3} +(0.944081 - 1.76315i) q^{4} +(-1.85193 + 1.25314i) q^{5} +(-0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 + 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +O(q^{10})\)	\(q+(-1.21328 + 0.726608i) q^{2} +(0.0769760 + 0.133326i) q^{3} +(0.944081 - 1.76315i) q^{4} +(-1.85193 + 1.25314i) q^{5} +(-0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 + 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +(1.33636 - 2.86603i) q^{10} +(-0.717757 - 1.24319i) q^{11} +(0.307746 - 0.00984967i) q^{12} -1.09056i q^{13} +(3.73638 - 0.198637i) q^{14} +(-0.309630 - 0.150449i) q^{15} +(-2.21742 - 3.32912i) q^{16} +(-1.65673 - 2.86954i) q^{17} +(0.0673323 + 4.20858i) q^{18} +(-3.25444 - 1.87895i) q^{19} +(0.461106 + 4.44830i) q^{20} +(-0.0151144 - 0.407038i) q^{21} +(1.77415 + 0.986807i) q^{22} +(1.01985 - 1.76643i) q^{23} +(-0.366225 + 0.235561i) q^{24} +(1.85928 - 4.64145i) q^{25} +(0.792410 + 1.32315i) q^{26} +0.920063 q^{27} +(-4.38893 + 2.95589i) q^{28} +5.06845i q^{29} +(0.484985 - 0.0424435i) q^{30} +(-4.92434 - 8.52921i) q^{31} +(5.10931 + 2.42795i) q^{32} +(0.110500 - 0.191392i) q^{33} +(4.09510 + 2.27775i) q^{34} +(5.88135 - 0.640111i) q^{35} +(-3.13968 - 5.05725i) q^{36} +(4.33672 - 7.51142i) q^{37} +(5.31381 - 0.0850146i) q^{38} +(0.145400 - 0.0839469i) q^{39} +(-3.79162 - 5.06198i) q^{40} +4.08787i q^{41} +(0.314095 + 0.482868i) q^{42} +2.12207i q^{43} +(-2.86956 + 0.0918426i) q^{44} +(0.474082 + 6.63830i) q^{45} +(0.0461439 + 2.88421i) q^{46} +(-6.16503 - 3.55938i) q^{47} +(0.273171 - 0.551903i) q^{48} +(3.93995 + 5.78591i) q^{49} +(1.11669 + 6.98234i) q^{50} +(0.255057 - 0.441771i) q^{51} +(-1.92283 - 1.02958i) q^{52} +(2.25393 + 3.90392i) q^{53} +(-1.11629 + 0.668525i) q^{54} +(2.88713 + 1.40285i) q^{55} +(3.17722 - 6.77534i) q^{56} -0.578537i q^{57} +(-3.68278 - 6.14943i) q^{58} +(-6.68603 + 3.86018i) q^{59} +(-0.557581 + 0.403890i) q^{60} +(-3.87063 + 6.70413i) q^{61} +(12.1720 + 6.77022i) q^{62} +(-6.66876 + 4.18762i) q^{63} +(-7.96318 + 0.766699i) q^{64} +(1.36662 + 2.01964i) q^{65} +(0.00499965 + 0.312501i) q^{66} +(-11.0249 + 6.36523i) q^{67} +(-6.62352 + 0.211991i) q^{68} +0.314016 q^{69} +(-6.67059 + 5.05007i) q^{70} -5.09964i q^{71} +(7.48395 + 3.85453i) q^{72} +(4.82381 + 8.35508i) q^{73} +(0.196218 + 12.2645i) q^{74} +(0.761948 - 0.109389i) q^{75} +(-6.38535 + 3.96420i) q^{76} +(0.140933 + 3.79540i) q^{77} +(-0.115414 + 0.207500i) q^{78} +(-2.80167 - 1.61754i) q^{79} +(8.27836 + 3.38655i) q^{80} +(-4.39363 - 7.60998i) q^{81} +(-2.97028 - 4.95972i) q^{82} +8.80158 q^{83} +(-0.731940 - 0.357628i) q^{84} +(6.66407 + 3.23807i) q^{85} +(-1.54191 - 2.57466i) q^{86} +(-0.675757 + 0.390149i) q^{87} +(3.41483 - 2.19648i) q^{88} +(9.61481 + 5.55111i) q^{89} +(-5.39864 - 7.70962i) q^{90} +(-1.34896 + 2.55060i) q^{91} +(-2.15167 - 3.46581i) q^{92} +(0.758112 - 1.31309i) q^{93} +(10.0662 - 0.161047i) q^{94} +(8.38159 - 0.598581i) q^{95} +(0.0695853 + 0.868099i) q^{96} -10.0234 q^{97} +(-8.98434 - 4.15711i) q^{98} -4.27252 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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