LMFDB - Embedded newform 280.2.ba.b.19.20

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			19.20
Character	$\chi$	$=$	280.19
Dual form			280.2.ba.b.59.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0226228 + 1.41403i) q^{2} +(-0.0769760 - 0.133326i) q^{3} +(-1.99898 - 0.0639789i) q^{4} +(0.159286 - 2.23039i) q^{5} +(0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 - 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +O(q^{10})$	\(q+(-0.0226228 + 1.41403i) q^{2} +(-0.0769760 - 0.133326i) q^{3} +(-1.99898 - 0.0639789i) q^{4} +(0.159286 - 2.23039i) 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} +(3.15024 + 0.275693i) q^{10} +(-0.717757 - 1.24319i) q^{11} +(0.145343 + 0.271441i) q^{12} -1.09056i q^{13} +(1.80199 - 3.27915i) q^{14} +(-0.309630 + 0.150449i) q^{15} +(3.99181 + 0.255785i) q^{16} +(1.65673 + 2.86954i) q^{17} +(3.61107 + 2.16260i) 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} +(-0.387114 + 0.199379i) q^{24} +(-4.94926 - 0.710538i) q^{25} +(1.54209 + 0.0246716i) q^{26} -0.920063 q^{27} +(4.59606 + 2.62225i) q^{28} -5.06845i q^{29} +(-0.205735 - 0.441231i) q^{30} +(4.92434 + 8.52921i) q^{31} +(-0.451994 + 5.63877i) q^{32} +(-0.110500 + 0.191392i) q^{33} +(-4.09510 + 2.27775i) q^{34} +(-3.13140 + 5.01940i) q^{35} +(-3.13968 + 5.05725i) q^{36} +(4.33672 - 7.51142i) q^{37} +(2.73053 - 4.55938i) q^{38} +(-0.145400 + 0.0839469i) q^{39} +(-6.27961 - 0.752652i) q^{40} +4.08787i q^{41} +(-0.575907 + 0.0121639i) q^{42} -2.12207i q^{43} +(1.35524 + 2.53103i) q^{44} +(-5.51189 - 3.72972i) q^{45} +(2.47472 + 1.48206i) 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} +(-0.0697728 + 2.18000i) q^{52} +(2.25393 + 3.90392i) q^{53} +(0.0208144 - 1.30100i) q^{54} +(-2.88713 + 1.40285i) q^{55} +(-3.81192 + 6.43966i) q^{56} +0.578537i q^{57} +(7.16695 + 0.114663i) q^{58} +(-6.68603 + 3.86018i) q^{59} +(0.628570 - 0.280935i) 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} +(-2.43237 - 0.173711i) q^{65} +(-0.268134 - 0.160581i) q^{66} +(11.0249 - 6.36523i) q^{67} +(-3.12817 - 5.84213i) q^{68} -0.314016 q^{69} +(-7.02675 - 4.54145i) q^{70} +5.09964i q^{71} +(-7.08009 - 4.55403i) q^{72} +(-4.82381 - 8.35508i) q^{73} +(10.5233 + 6.30219i) q^{74} +(0.286240 + 0.714560i) 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} +(1.20634 - 8.86255i) q^{80} +(-4.39363 - 7.60998i) q^{81} +(-5.78038 - 0.0924793i) q^{82} -8.80158 q^{83} +(-0.00417144 - 0.814626i) q^{84} +(6.66407 - 3.23807i) q^{85} +(3.00067 + 0.0480072i) q^{86} +(-0.675757 + 0.390149i) q^{87} +(-3.60962 + 1.85910i) 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} +(5.17255 - 8.63703i) q^{94} +(-4.70918 + 6.95938i) q^{95} +(0.786589 - 0.373787i) q^{96} +10.0234 q^{97} +(-8.27060 + 5.44032i) 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 $

$2$	−0.0226228	+	1.41403i	−0.0159968	+	0.999872i
$2$	−0.0226228	+	1.41403i	−0.0159968	+	0.999872i
$3$	−0.0769760	−	0.133326i	−0.0444421	−	0.0769760i	0.842949	−	0.537994i	$-0.180818\pi$
$3$	−0.0769760	−	0.133326i	−0.0444421	−	0.0769760i	−0.887391	+	0.461018i	$0.847484\pi$
$4$	−1.99898	−	0.0639789i	−0.999488	−	0.0319894i
$5$	0.159286	−	2.23039i	0.0712348	−	0.997460i
$5$	0.159286	−	2.23039i	0.0712348	−	0.997460i
$6$	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
$10$	3.15024	+	0.275693i	0.996192	+	0.0871818i
$11$	−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	$0.902769\pi$
$12$	0.145343	+	0.271441i	0.0419569	+	0.0783583i
$13$		−	1.09056i		−	0.302467i	−0.988498	−	0.151234i	$-0.951675\pi$
$13$		−	1.09056i		−	0.302467i	0.988498	−	0.151234i	$-0.0483245\pi$
$14$	1.80199	−	3.27915i	0.481601	−	0.876391i
$15$	−0.309630	+	0.150449i	−0.0799462	+	0.0388458i
$16$	3.99181	+	0.255785i	0.997953	+	0.0639461i
$17$	1.65673	+	2.86954i	0.401816	+	0.695965i	0.993945	−	0.109878i	$-0.0350459\pi$
$17$	1.65673	+	2.86954i	0.401816	+	0.695965i	−0.592129	+	0.805843i	$0.701713\pi$
$18$	3.61107	+	2.16260i	0.851138	+	0.509730i
$19$	−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	$0.0984561\pi$
$24$	−0.387114	+	0.199379i	−0.0790194	+	0.0406981i
$25$	−4.94926	−	0.710538i	−0.989851	−	0.142108i
$26$	1.54209	+	0.0246716i	0.302428	+	0.00483849i
$27$	−0.920063			−0.177066
$28$	4.59606	+	2.62225i	0.868574	+	0.495559i
$29$		−	5.06845i		−	0.941187i	−0.882350	−	0.470593i	$-0.844040\pi$
$29$		−	5.06845i		−	0.941187i	0.882350	−	0.470593i	$-0.155960\pi$
$30$	−0.205735	−	0.441231i	−0.0375620	−	0.0805574i
$31$	4.92434	+	8.52921i	0.884438	+	1.53189i	0.846357	+	0.532617i	$0.178791\pi$
$31$	4.92434	+	8.52921i	0.884438	+	1.53189i	0.0380811	+	0.999275i	$0.487875\pi$
$32$	−0.451994	+	5.63877i	−0.0799020	+	0.996803i
$33$	−0.110500	+	0.191392i	−0.0192356	+	0.0333170i
$34$	−4.09510	+	2.27775i	−0.702304	+	0.390631i
$35$	−3.13140	+	5.01940i	−0.529303	+	0.848433i
$36$	−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	$-0.0859759\pi$
$38$	2.73053	−	4.55938i	0.442950	−	0.739630i
$39$	−0.145400	+	0.0839469i	−0.0232827	+	0.0134423i
$40$	−6.27961	−	0.752652i	−0.992894	−	0.119005i
$41$			4.08787i			0.638418i	0.947684	+	0.319209i	$0.103417\pi$
$41$			4.08787i			0.638418i	−0.947684	+	0.319209i	$0.896583\pi$
$42$	−0.575907	+	0.0121639i	−0.0888644	+	0.00187692i
$43$		−	2.12207i		−	0.323612i	−0.986823	−	0.161806i	$-0.948268\pi$
$43$		−	2.12207i		−	0.323612i	0.986823	−	0.161806i	$-0.0517319\pi$
$44$	1.35524	+	2.53103i	0.204310	+	0.381567i
$45$	−5.51189	−	3.72972i	−0.821665	−	0.555993i
$46$	2.47472	+	1.48206i	0.364878	+	0.218518i
$47$	−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
$52$	−0.0697728	+	2.18000i	−0.00967575	+	0.302312i
$53$	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	$0.733138\pi$
$54$	0.0208144	−	1.30100i	0.00283249	−	0.177044i
$55$	−2.88713	+	1.40285i	−0.389300	+	0.189161i
$56$	−3.81192	+	6.43966i	−0.509390	+	0.860536i
$57$			0.578537i			0.0766292i
$58$	7.16695	+	0.114663i	0.941067	+	0.0150559i
$59$	−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	$0.500939\pi$
$60$	0.628570	−	0.280935i	0.0811480	−	0.0362685i
$61$	3.87063	−	6.70413i	0.495584	−	0.858376i	−0.504403	−	0.863468i	$-0.668287\pi$
$61$	3.87063	−	6.70413i	0.495584	−	0.858376i	0.999987	+	0.00509195i	$0.00162083\pi$
$62$	−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
$65$	−2.43237	−	0.173711i	−0.301699	−	0.0215462i
$66$	−0.268134	−	0.160581i	−0.0330051	−	0.0197661i
$67$	11.0249	−	6.36523i	1.34691	−	0.777637i	0.359097	−	0.933300i	$-0.383085\pi$
$67$	11.0249	−	6.36523i	1.34691	−	0.777637i	0.987810	+	0.155663i	$0.0497514\pi$
$68$	−3.12817	−	5.84213i	−0.379346	−	0.708463i
$69$	−0.314016			−0.0378031
$70$	−7.02675	−	4.54145i	−0.839857	−	0.542807i
$71$			5.09964i			0.605216i	0.953115	+	0.302608i	$0.0978573\pi$
$71$			5.09964i			0.605216i	−0.953115	+	0.302608i	$0.902143\pi$
$72$	−7.08009	−	4.55403i	−0.834397	−	0.536697i
$73$	−4.82381	−	8.35508i	−0.564584	−	0.977888i	−0.997088	−	0.0762563i	$-0.975703\pi$
$73$	−4.82381	−	8.35508i	−0.564584	−	0.977888i	0.432504	−	0.901632i	$-0.357630\pi$
$74$	10.5233	+	6.30219i	1.22331	+	0.732615i
$75$	0.286240	+	0.714560i	0.0330522	+	0.0825103i
$76$	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	0.649257	−	0.760570i	$-0.275080\pi$
$79$	2.80167	+	1.61754i	0.315212	+	0.181988i	−0.334044	+	0.942557i	$0.608414\pi$
$80$	1.20634	−	8.86255i	0.134873	−	0.990863i
$81$	−4.39363	−	7.60998i	−0.488181	−	0.845554i
$82$	−5.78038	−	0.0924793i	−0.638337	−	0.0102126i
$83$	−8.80158			−0.966099			−0.483049	−	0.875593i	$-0.660471\pi$
$83$	−8.80158			−0.966099			−0.483049	+	0.875593i	$0.660471\pi$
$84$	−0.00417144	−	0.814626i	−0.000455142	−	0.0888830i
$85$	6.66407	−	3.23807i	0.722820	−	0.351218i
$86$	3.00067	+	0.0480072i	0.323571	+	0.00517675i
$87$	−0.675757	+	0.390149i	−0.0724488	+	0.0418283i
$88$	−3.60962	+	1.85910i	−0.384787	+	0.198180i
$89$	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
$94$	5.17255	−	8.63703i	0.533508	−	0.890841i
$95$	−4.70918	+	6.95938i	−0.483152	+	0.714018i
$96$	0.786589	−	0.373787i	0.0802809	−	0.0381495i
$97$	10.0234			1.01773			0.508863	−	0.860847i	$-0.330066\pi$
$97$	10.0234			1.01773			0.508863	+	0.860847i	$0.330066\pi$
$98$	−8.27060	+	5.44032i	−0.835457	+	0.549556i
$99$	−4.27252			−0.429404
$100$	9.84799	+	1.73700i	0.984799	+	0.173700i
$101$	4.60867	+	7.98245i	0.458580	+	0.794283i	0.998886	−	0.0471851i	$-0.0150251\pi$
$101$	4.60867	+	7.98245i	0.458580	+	0.794283i	−0.540307	+	0.841468i	$0.681692\pi$
$102$	0.618908	+	0.370652i	0.0612811	+	0.0367001i
$103$	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
$105$	0.910260	+	0.0311244i	0.0888323	+	0.00303743i
$106$	−5.57127	+	3.09882i	−0.541129	+	0.300984i
$107$	6.70945	+	3.87370i	0.648627	+	0.374485i	0.787930	−	0.615765i	$-0.211153\pi$
$107$	6.70945	+	3.87370i	0.648627	+	0.374485i	−0.139303	+	0.990250i	$0.544486\pi$
$108$	1.83918	+	0.0588646i	0.176976	+	0.00566425i
$109$	−13.5605	+	7.82914i	−1.29886	+	0.749895i	−0.980207	−	0.197977i	$-0.936563\pi$
$109$	−13.5605	+	7.82914i	−1.29886	+	0.749895i	−0.318650	+	0.947872i	$0.603230\pi$
$110$	−1.91837	−	4.11423i	−0.182909	−	0.392276i
$111$	−1.33529			−0.126740
$112$	−9.01965	−	5.53587i	−0.852277	−	0.523090i
$113$			14.7872i			1.39106i	0.718496	+	0.695532i	$0.244831\pi$
$113$			14.7872i			1.39106i	−0.718496	+	0.695532i	$0.755169\pi$
$114$	−0.818071	−	0.0130882i	−0.0766193	−	0.00122582i
$115$	−3.77738	−	2.55603i	−0.352243	−	0.238351i
$116$	−0.324274	+	10.1317i	−0.0301080	+	0.940705i
$117$	−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
$122$	9.39230	+	5.62487i	0.850339	+	0.509252i
$123$	0.545021	−	0.314668i	0.0491429	−	0.0283727i
$124$	−9.29795	−	17.3647i	−0.834981	−	1.55940i
$125$	−2.37312	+	10.9256i	−0.212258	+	0.977214i
$126$	−5.77056	−	9.52458i	−0.514082	−	0.848517i
$127$	19.1112			1.69584			0.847922	−	0.530121i	$-0.177853\pi$
$127$	19.1112			1.69584			0.847922	+	0.530121i	$0.177853\pi$
$128$	1.26429	−	11.2428i	0.111748	−	0.993737i
$129$	−0.282927	+	0.163348i	−0.0249104	+	0.0143820i
$130$	0.300660	−	3.43552i	0.0263696	−	0.301315i
$131$	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
$135$	−0.146553	+	2.05210i	−0.0126133	+	0.176616i
$136$	8.33174	−	4.29117i	0.714441	−	0.367965i
$137$	12.6230	−	7.28787i	1.07845	−	0.622644i	0.147973	−	0.988991i	$-0.452725\pi$
$137$	12.6230	−	7.28787i	1.07845	−	0.622644i	0.930478	+	0.366347i	$0.119392\pi$
$138$	0.00710394	−	0.444029i	0.000604727	−	0.0377983i
$139$		−	14.5711i		−	1.23590i	−0.786216	−	0.617952i	$-0.787963\pi$
$139$		−	14.5711i		−	1.23590i	0.786216	−	0.617952i	$-0.212037\pi$
$140$	6.58072	−	9.83331i	0.556173	−	0.831067i
$141$			1.09595i			0.0922954i
$142$	−7.21106	−	0.115368i	−0.605139	−	0.00968150i
$143$	−1.35578	+	0.782757i	−0.113376	+	0.0654574i
$144$	6.59971	−	9.90845i	0.549976	−	0.825705i
$145$	−11.3046	−	0.807331i	−0.938796	−	0.0670452i
$146$	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	0.721454	−	0.692462i	$-0.243474\pi$
$149$	5.88956	+	3.40034i	0.482492	+	0.278567i	−0.238962	+	0.971029i	$0.576807\pi$
$150$	−1.01689	+	0.388588i	−0.0830285	+	0.0317281i
$151$	−1.08611	+	0.627067i	−0.0883865	+	0.0510300i	−0.543542	−	0.839382i	$-0.682917\pi$
$151$	−1.08611	+	0.627067i	−0.0883865	+	0.0510300i	0.455155	+	0.890412i	$0.349584\pi$
$152$	−5.74997	+	8.93940i	−0.466384	+	0.725081i
$153$	9.86184			0.797282
$154$	−5.37000	+	0.113421i	−0.432727	+	0.00913973i
$155$	19.8078	−	9.62461i	1.59100	−	0.773067i
$156$	0.296023	−	0.158505i	0.0237008	−	0.0126906i
$157$	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	$0.267309\pi$
$158$	−2.35064	+	3.92506i	−0.187007	+	0.312261i
$159$	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	0.782589	−	0.622538i	$-0.213899\pi$
$163$	8.10394	+	4.67881i	0.634750	+	0.366473i	−0.147840	+	0.989011i	$0.547232\pi$
$164$	0.261537	−	8.17156i	0.0204226	−	0.638092i
$165$	0.409277	+	0.276944i	0.0318621	+	0.0215601i
$166$	0.199117	−	12.4457i	0.0154545	−	0.965975i
$167$		−	4.66932i		−	0.361323i	−0.983545	−	0.180661i	$-0.942176\pi$
$167$		−	4.66932i		−	0.361323i	0.983545	−	0.180661i	$-0.0578238\pi$
$168$	1.15200	+	0.0125306i	0.0888789	+	0.000966758i
$169$	11.8107			0.908514
$170$	4.42798	+	9.49647i	0.339610	+	0.728346i
$171$	−9.68620	+	5.59233i	−0.740722	+	0.427656i
$172$	−0.135768	+	4.24196i	−0.0103522	+	0.323447i
$173$	−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
$175$	10.6964	+	7.78375i	0.808573	+	0.588396i
$176$	−2.54716	−	5.14618i	−0.192000	−	0.387908i
$177$	1.02933	+	0.594282i	0.0773690	+	0.0446690i
$178$	−8.06697	+	13.4701i	−0.604645	+	1.00962i
$179$	−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	$-0.347484\pi$
$180$	10.7795	+	7.80826i	0.803458	+	0.581993i
$181$	−4.37036			−0.324846			−0.162423	−	0.986721i	$-0.551931\pi$
$181$	−4.37036			−0.324846			−0.162423	+	0.986721i	$0.551931\pi$
$182$	−3.57611	−	1.96517i	−0.265079	−	0.145668i
$183$	−1.19178			−0.0880991
$184$	−4.85209	−	3.12094i	−0.357701	−	0.230079i
$185$	−16.0626	−	10.8690i	−1.18095	−	0.799107i
$186$	1.83960	+	1.10170i	0.134886	+	0.0807806i
$187$	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	−0.183621	−	0.982997i	$-0.558782\pi$
$191$	−15.5718	−	8.99035i	−1.12673	−	0.650519i	−0.943111	+	0.332478i	$0.892115\pi$
$192$	0.510752	+	1.12072i	0.0368604	+	0.0808809i
$193$	−8.69658	+	5.02098i	−0.625994	+	0.361418i	−0.779199	−	0.626777i	$-0.784374\pi$
$193$	−8.69658	+	5.02098i	−0.625994	+	0.361418i	0.153205	+	0.988194i	$0.451040\pi$
$194$	−0.226759	+	14.1735i	−0.0162803	+	1.01760i
$195$	0.164074	+	0.337671i	0.0117496	+	0.0241811i
$196$	−7.50569	−	11.8180i	−0.536121	−	0.844141i
$197$	−18.3358			−1.30637			−0.653185	−	0.757199i	$-0.726567\pi$
$197$	−18.3358			−1.30637			−0.653185	+	0.757199i	$0.726567\pi$
$198$	0.0966565	−	6.04148i	0.00686908	−	0.429349i
$199$	−2.54449	−	4.40718i	−0.180374	−	0.312417i	0.761634	−	0.648008i	$-0.224397\pi$
$199$	−2.54449	−	4.40718i	−0.180374	−	0.312417i	−0.942008	+	0.335591i	$0.891064\pi$
$200$	−2.67896	+	13.8861i	−0.189431	+	0.981894i
$201$	−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
$205$	9.11754	+	0.651140i	0.636797	+	0.0454776i
$206$	−5.46563	+	9.12641i	−0.380809	+	0.635867i
$207$	−3.03538	−	5.25744i	−0.210974	−	0.365417i
$208$	0.278948	−	4.35331i	0.0193416	−	0.301848i
$209$			5.39453i			0.373147i
$210$	−0.0646037	+	1.28643i	−0.00445808	+	0.0887723i
$211$	26.0225			1.79146			0.895730	−	0.444599i	$-0.146654\pi$
$211$	26.0225			1.79146			0.895730	+	0.444599i	$0.146654\pi$
$212$	−4.25579	−	7.94806i	−0.292289	−	0.545875i
$213$	0.679916	−	0.392550i	0.0465871	−	0.0268971i
$214$	−5.62933	+	9.39974i	−0.384813	+	0.642553i
$215$	−4.73303	−	0.338015i	−0.322790	−	0.0230524i
$216$	−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
$220$	5.86105	−	2.61956i	0.395152	−	0.176610i
$221$	3.12940	−	1.80676i	0.210506	−	0.121536i
$222$	0.0302081	−	1.88815i	0.00202744	−	0.126724i
$223$		−	7.60644i		−	0.509365i	−0.967025	−	0.254683i	$-0.918029\pi$
$223$		−	7.60644i		−	0.509365i	0.967025	−	0.254683i	$-0.0819710\pi$
$224$	8.03195	−	12.6288i	0.536657	−	0.843800i
$225$	−9.19668	+	11.6996i	−0.613112	+	0.779971i
$226$	−20.9096	−	0.334529i	−1.39089	−	0.0222525i
$227$	10.6186	+	18.3920i	0.704781	+	1.22072i	0.966770	+	0.255646i	$0.0822883\pi$
$227$	10.6186	+	18.3920i	0.704781	+	1.22072i	−0.261989	+	0.965071i	$0.584378\pi$
$228$	0.0370142	−	1.15648i	0.00245132	−	0.0765899i
$229$	−11.1449	+	19.3035i	−0.736476	+	1.27561i	0.217597	+	0.976039i	$0.430178\pi$
$229$	−11.1449	+	19.3035i	−0.736476	+	1.27561i	−0.954073	+	0.299575i	$0.903155\pi$
$230$	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	−0.201263	−	0.979537i	$-0.564504\pi$
$233$	−17.5570	−	10.1365i	−1.15020	−	0.664067i	−0.948935	+	0.315470i	$0.897838\pi$
$234$	2.35845	−	3.93809i	0.154177	−	0.257441i
$235$	−8.92080	+	13.1834i	−0.581929	+	0.859993i
$236$	13.6122	−	7.28865i	0.886078	−	0.474451i
$237$		−	0.498048i		−	0.0323517i
$238$	12.3951	−	0.261799i	0.803452	−	0.0169699i
$239$		−	28.0879i		−	1.81686i	−0.418040	−	0.908429i	$-0.637283\pi$
$239$		−	28.0879i		−	1.81686i	0.418040	−	0.908429i	$-0.362717\pi$
$240$	−1.27447	+	0.521367i	−0.0822667	+	0.0336541i
$241$	−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	$0.580836\pi$
$242$	10.8458	+	6.49537i	0.697197	+	0.417538i
$243$	−2.05650	+	3.56196i	−0.131925	+	0.228500i
$244$	−8.16623	+	13.1538i	−0.522789	+	0.842083i
$245$	13.5324	−	7.86600i	0.864554	−	0.502540i
$246$	0.432621	+	0.777796i	0.0275829	+	0.0495905i
$247$	−2.04911	+	3.54917i	−0.130382	+	0.225828i
$248$	24.7647	−	12.7548i	1.57256	−	0.809929i
$249$	0.677510	+	1.17348i	0.0429354	+	0.0743664i
$250$	−15.3954	−	3.60284i	−0.973693	−	0.227863i
$251$		−	4.96754i		−	0.313548i	−0.987634	−	0.156774i	$-0.949891\pi$
$251$		−	4.96754i		−	0.313548i	0.987634	−	0.156774i	$-0.0501094\pi$
$252$	13.5986	−	7.94428i	0.856632	−	0.500443i
$253$	−2.92802			−0.184083
$254$	−0.432350	+	27.0238i	−0.0271280	+	1.69563i
$255$	−0.944693	−	0.639243i	−0.0591590	−	0.0400309i
$256$	15.8691	+	2.04209i	0.991822	+	0.127631i
$257$	−10.2172	+	17.6967i	−0.637332	+	1.10389i	0.348684	+	0.937240i	$0.386629\pi$
$257$	−10.2172	+	17.6967i	−0.637332	+	1.10389i	−0.986016	+	0.166651i	$0.946705\pi$
$258$	−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
$262$	−8.64883	+	14.4416i	−0.534326	+	0.892208i
$263$	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	$0.775895\pi$
$264$	0.525720	+	0.338152i	0.0323559	+	0.0208118i
$265$	9.06628	−	4.40530i	0.556937	−	0.270616i
$266$	−12.0258	+	7.28597i	−0.737352	+	0.446732i
$267$		−	1.70921i		−	0.104602i
$268$	−22.4458	+	12.0186i	−1.37109	+	0.734152i
$269$	13.3070	+	23.0485i	0.811345	+	1.40529i	0.911923	+	0.410361i	$0.134597\pi$
$269$	13.3070	+	23.0485i	0.811345	+	1.40529i	−0.100578	+	0.994929i	$0.532069\pi$
$270$	−2.89842	−	0.253655i	−0.176392	−	0.0154369i
$271$	9.50169	−	16.4574i	0.577186	−	0.999716i	−0.418614	−	0.908164i	$-0.637484\pi$
$271$	9.50169	−	16.4574i	0.577186	−	0.999716i	0.995800	−	0.0915517i	$-0.0291827\pi$
$272$	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
$275$	2.66903	+	6.66287i	0.160948	+	0.401786i
$276$	0.627711	+	0.0200904i	0.0377837	+	0.00120930i
$277$	−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	$0.996856\pi$
$278$	20.6040	+	0.329639i	1.23575	+	0.0197705i
$279$	29.3126			1.75490
$280$	13.7558	+	9.52781i	0.822063	+	0.569396i
$281$	−9.13648			−0.545037			−0.272518	−	0.962151i	$-0.587857\pi$
$281$	−9.13648			−0.545037			−0.272518	+	0.962151i	$0.587857\pi$
$282$	−1.54971	−	0.0247934i	−0.0922836	−	0.00147643i
$283$	−7.92262	−	13.7224i	−0.470951	−	0.815710i	0.528497	−	0.848935i	$-0.322756\pi$
$283$	−7.92262	−	13.7224i	−0.470951	−	0.815710i	−0.999448	+	0.0332246i	$0.989422\pi$
$284$	0.326269	−	10.1941i	0.0193605	−	0.604906i
$285$	1.29036	+	0.0921528i	0.0764345	+	0.00545866i
$286$	−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
$290$	1.39734	−	15.9668i	0.0820543	−	0.937603i
$291$	−0.771564	−	1.33639i	−0.0452299	−	0.0783405i
$292$	9.10813	+	17.0102i	0.533013	+	0.995448i
$293$			7.81463i			0.456536i	0.973598	+	0.228268i	$0.0733062\pi$
$293$			7.81463i			0.456536i	−0.973598	+	0.228268i	$0.926694\pi$
$294$	1.36198	+	0.683915i	0.0794320	+	0.0398867i
$295$	7.54471	+	15.5273i	0.439270	+	0.904035i
$296$	−20.6326	−	13.2712i	−1.19925	−	0.771373i
$297$	0.660381	+	1.14381i	0.0383192	+	0.0663708i
$298$	−4.94143	+	8.25111i	−0.286250	+	0.477974i
$299$	−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
$304$	−12.5105	−	8.33287i	−0.717528	−	0.477923i
$305$	−14.3363	−	9.70088i	−0.820893	−	0.555471i
$306$	−0.223103	+	13.9450i	−0.0127539	+	0.797180i
$307$	−32.1983			−1.83765			−0.918827	−	0.394660i	$-0.870862\pi$
$307$	−32.1983			−1.83765			−0.918827	+	0.394660i	$0.870862\pi$
$308$	−0.0388963	−	7.59593i	−0.00221632	−	0.432818i
$309$		−	1.15804i		−	0.0658788i
$310$	13.1614	+	28.2266i	0.747517	+	1.60317i
$311$	−7.85791	−	13.6103i	−0.445581	−	0.771769i	0.552511	−	0.833505i	$-0.313670\pi$
$311$	−7.85791	−	13.6103i	−0.445581	−	0.771769i	−0.998092	+	0.0617363i	$0.980336\pi$
$312$	0.217435	+	0.422172i	0.0123098	+	0.0239008i
$313$	9.05719	−	15.6875i	0.511942	−	0.886710i	−0.487962	−	0.872865i	$-0.662259\pi$
$313$	9.05719	−	15.6875i	0.511942	−	0.886710i	0.999904	−	0.0138452i	$-0.00440721\pi$
$314$	3.54766	+	6.37823i	0.200206	+	0.359944i
$315$	8.27777	+	15.5409i	0.466399	+	0.875633i
$316$	−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	$0.163726\pi$
$318$	0.842007	+	0.504262i	0.0472174	+	0.0282776i
$319$	−6.30105	+	3.63791i	−0.352791	+	0.203684i
$320$	−2.97846	+	17.6388i	−0.166501	+	0.986041i
$321$		−	1.19273i		−	0.0665715i
$322$	−3.95465	−	6.52734i	−0.220384	−	0.363754i
$323$		−	12.4517i		−	0.692829i
$324$	8.29588	+	15.4933i	0.460882	+	0.860737i
$325$	−0.774884	+	5.39746i	−0.0429829	+	0.299397i
$326$	−6.79933	+	11.3534i	−0.376580	+	0.628806i
$327$	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	$0.160254\pi$
$332$	17.5941	+	0.563115i	0.965604	+	0.0309049i
$333$	−12.9074	−	22.3562i	−0.707320	−	1.22511i
$334$	6.60257	+	0.105633i	0.361277	+	0.00578000i
$335$	−12.4408	−	25.6037i	−0.679715	−	1.39888i
$336$	−0.0437803	+	1.62869i	−0.00238841	+	0.0888521i
$337$			26.9790i			1.46964i	0.678261	+	0.734821i	$0.262734\pi$
$337$			26.9790i			1.46964i	−0.678261	+	0.734821i	$0.737266\pi$
$338$	−0.267191	+	16.7007i	−0.0145333	+	0.908397i
$339$	1.97152	−	1.13826i	0.107078	−	0.0618218i
$340$	−13.5285	+	6.04647i	−0.733686	+	0.327916i
$341$	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
$345$	−0.0500183	+	0.700378i	−0.00269289	+	0.0377071i
$346$	7.98064	−	13.3259i	0.429042	−	0.716406i
$347$	19.5162	−	11.2677i	1.04768	−	0.604880i	0.125684	−	0.992070i	$-0.459888\pi$
$347$	19.5162	−	11.2677i	1.04768	−	0.604880i	0.922000	+	0.387190i	$0.126554\pi$
$348$	1.37578	−	0.736664i	0.0737498	−	0.0394893i
$349$	2.28183			0.122144			0.0610718	−	0.998133i	$-0.480548\pi$
$349$	2.28183			0.122144			0.0610718	+	0.998133i	$0.480548\pi$
$350$	−11.2485	+	14.9490i	−0.601255	+	0.799057i
$351$			1.00338i			0.0535567i
$352$	7.33449	−	3.48535i	0.390930	−	0.185770i
$353$	4.34760	+	7.53026i	0.231399	+	0.400796i	0.958220	−	0.286032i	$-0.0923362\pi$
$353$	4.34760	+	7.53026i	0.231399	+	0.400796i	−0.726821	+	0.686827i	$0.759003\pi$
$354$	−0.863621	+	1.44206i	−0.0459009	+	0.0766445i
$355$	11.3742	+	0.812300i	0.603679	+	0.0431124i
$356$	−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	0.229155	−	0.973390i	$-0.426404\pi$
$359$	−9.45940	−	5.46139i	−0.499248	−	0.288241i	−0.728403	+	0.685149i	$0.759737\pi$
$360$	−11.2850	+	15.0660i	−0.594772	+	0.794046i
$361$	−2.43906	−	4.22457i	−0.128372	−	0.222346i
$362$	0.0988700	−	6.17983i	0.00519649	−	0.324805i
$363$	−1.37622			−0.0722330
$364$	2.85972	−	5.01228i	0.149890	−	0.262715i
$365$	−19.4034	+	9.42812i	−1.01562	+	0.493490i
$366$	0.0269615	−	1.68522i	0.00140930	−	0.0880879i
$367$	−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	$0.453647\pi$
$368$	4.52288	−	6.79041i	0.235772	−	0.353975i
$369$	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	$0.288459\pi$
$374$	5.77097	+	3.45612i	0.298410	+	0.178712i
$375$	1.63934	−	0.524608i	0.0846552	−	0.0270906i
$376$	−10.8924	+	16.9343i	−0.561732	+	0.873319i
$377$	−5.52745			−0.284678
$378$	−1.65794	+	3.01703i	−0.0852753	+	0.155179i
$379$	−7.92505			−0.407083			−0.203541	−	0.979066i	$-0.565245\pi$
$379$	−7.92505			−0.407083			−0.203541	+	0.979066i	$0.565245\pi$
$380$	9.85880	−	13.6104i	0.505746	−	0.698196i
$381$	−1.47110	−	2.54802i	−0.0753669	−	0.130539i
$382$	13.0649	−	21.8156i	0.668460	−	1.11618i
$383$	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
$385$	8.48765	+	0.290218i	0.432571	+	0.0147909i
$386$	−6.90308	−	12.4108i	−0.351358	−	0.631695i
$387$	−5.46974	−	3.15795i	−0.278042	−	0.160528i
$388$	−20.0366	−	0.641288i	−1.01721	−	0.0325565i
$389$	12.8952	−	7.44505i	0.653813	−	0.377479i	−0.136102	−	0.990695i	$-0.543458\pi$
$389$	12.8952	−	7.44505i	0.653813	−	0.377479i	0.789916	+	0.613216i	$0.210124\pi$
$390$	−0.481189	+	0.224367i	−0.0243660	+	0.0113613i
$391$	6.75847			0.341790
$392$	16.8808	−	10.3459i	0.852609	−	0.522549i
$393$		−	1.83249i		−	0.0924370i
$394$	0.414807	−	25.9274i	0.0208977	−	1.30620i
$395$	4.05401	−	5.99115i	0.203980	−	0.301448i
$396$	8.54066	+	0.273351i	0.429184	+	0.0137364i
$397$	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	$0.127765\pi$
$402$	1.42407	−	2.37788i	0.0710259	−	0.118598i
$403$	9.30162	−	5.37029i	0.463347	−	0.267513i
$404$	−8.70191	−	16.2516i	−0.432936	−	0.808546i
$405$	−17.6731	+	8.58733i	−0.878181	+	0.426708i
$406$	−16.6202	−	9.13327i	−0.824847	−	0.453277i
$407$	−12.4508			−0.617166
$408$	−1.21347	−	0.780522i	−0.0600757	−	0.0386416i
$409$	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	$0.119423\pi$
$410$	−1.12700	+	12.8778i	−0.0556584	+	0.635988i
$411$	−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
$415$	−1.40197	+	19.6309i	−0.0688198	+	0.963644i
$416$	6.14942	+	0.492927i	0.301500	+	0.0241677i
$417$	−1.94271	+	1.12162i	−0.0951349	+	0.0549261i
$418$	−7.62804	−	0.122040i	−0.373100	−	0.00596915i
$419$		−	19.8387i		−	0.969184i	−0.874740	−	0.484592i	$-0.838968\pi$
$419$		−	19.8387i		−	0.969184i	0.874740	−	0.484592i	$-0.161032\pi$
$420$	−1.81760	−	0.120454i	−0.0886897	−	0.00587758i
$421$		−	15.1350i		−	0.737633i	−0.929502	−	0.368816i	$-0.879763\pi$
$421$		−	15.1350i		−	0.737633i	0.929502	−	0.368816i	$-0.120237\pi$
$422$	−0.588702	+	36.7966i	−0.0286576	+	1.79123i
$423$	−18.3490	+	10.5938i	−0.892157	+	0.515087i
$424$	11.3351	−	5.83802i	0.550481	−	0.283519i
$425$	−6.16066	−	15.3792i	−0.298836	−	0.746003i
$426$	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
$430$	0.585039	−	6.68502i	0.0282131	−	0.322380i
$431$	−6.91977	+	3.99513i	−0.333314	+	0.192439i	−0.657311	−	0.753619i	$-0.728306\pi$
$431$	−6.91977	+	3.99513i	−0.333314	+	0.192439i	0.323998	+	0.946058i	$0.394973\pi$
$432$	−3.67272	−	0.235338i	−0.176704	−	0.0113227i
$433$	23.8710			1.14717			0.573583	−	0.819148i	$-0.305553\pi$
$433$	23.8710			1.14717			0.573583	+	0.819148i	$0.305553\pi$
$434$	36.8422	−	0.778152i	1.76848	−	0.0373525i
$435$	0.762544	+	1.56935i	0.0365612	+	0.0752444i
$436$	27.6079	−	14.7827i	1.32218	−	0.707962i
$437$	−6.63810	+	3.83251i	−0.317543	+	0.183334i
$438$	−1.80204	−	1.07921i	−0.0861049	−	0.0515666i
$439$	−6.02272	+	10.4317i	−0.287449	+	0.497876i	−0.973200	−	0.229960i	$-0.926140\pi$
$439$	−6.02272	+	10.4317i	−0.287449	+	0.497876i	0.685751	+	0.727836i	$0.259474\pi$
$440$	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	0.999606	−	0.0280632i	$-0.00893396\pi$
$443$	31.0474	+	17.9252i	1.47511	+	0.851653i	0.475500	+	0.879716i	$0.342267\pi$
$444$	2.66922	+	0.0854306i	0.126676	+	0.00405436i
$445$	13.9126	−	20.5605i	0.659522	−	0.974663i
$446$	10.7558	+	0.172079i	0.509300	+	0.00814819i
$447$		−	1.04698i		−	0.0495204i
$448$	17.6759	+	11.6431i	0.835108	+	0.550087i
$449$	−25.0673			−1.18300			−0.591500	−	0.806305i	$-0.701464\pi$
$449$	−25.0673			−1.18300			−0.591500	+	0.806305i	$0.701464\pi$
$450$	−16.3355	−	13.2691i	−0.770064	−	0.625511i
$451$	5.08201	−	2.93410i	0.239302	−	0.138161i
$452$	0.946069	−	29.5593i	0.0444993	−	1.39035i
$453$	0.167209	+	0.0965381i	0.00785616	+	0.00453576i
$454$	−26.2471	+	14.5990i	−1.23184	+	0.685164i
$455$	5.47396	+	3.41498i	0.256623	+	0.160097i
$456$	1.63447	+	0.0785022i	0.0765409	+	0.00367620i
$457$	−26.1083	−	15.0736i	−1.22129	−	0.705115i	−0.256100	−	0.966650i	$-0.582438\pi$
$457$	−26.1083	−	15.0736i	−1.22129	−	0.705115i	−0.965194	+	0.261536i	$0.915771\pi$
$458$	−27.0437	−	16.1960i	−1.26367	−	0.756787i
$459$	−1.52429	−	2.64016i	−0.0711480	−	0.123232i
$460$	7.38737	+	5.35112i	0.344438	+	0.249497i
$461$	−6.48585			−0.302076			−0.151038	−	0.988528i	$-0.548262\pi$
$461$	−6.48585			−0.302076			−0.151038	+	0.988528i	$0.548262\pi$
$462$	0.428483	+	0.707232i	0.0199348	+	0.0329034i
$463$	10.1847			0.473324			0.236662	−	0.971592i	$-0.423947\pi$
$463$	10.1847			0.473324			0.236662	+	0.971592i	$0.423947\pi$
$464$	1.29643	−	20.2323i	0.0601853	−	0.939261i
$465$	−2.80794	−	1.90004i	−0.130215	−	0.0881122i
$466$	14.7306	−	24.5969i	0.682382	−	1.13943i
$467$	−0.928318	+	1.60789i	−0.0429574	+	0.0744045i	−0.886705	−	0.462336i	$-0.847011\pi$
$467$	−0.928318	+	1.60789i	−0.0429574	+	0.0744045i	0.843747	+	0.536741i	$0.180345\pi$
$468$	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
$472$	9.99844	+	19.4130i	0.460215	+	0.893554i
$473$	−2.63814	+	1.52313i	−0.121302	+	0.0700335i
$474$	0.704256	+	0.0112673i	0.0323475	+	0.000517522i
$475$	14.7720	+	11.6118i	0.677786	+	0.532787i
$476$	0.0897806	+	17.5329i	0.00411509	+	0.803621i
$477$	13.4167			0.614311
$478$	39.7173	+	0.635429i	1.81662	+	0.0290638i
$479$	11.3522	+	19.6626i	0.518696	+	0.898408i	0.999764	+	0.0217249i	$0.00691580\pi$
$479$	11.3522	+	19.6626i	0.518696	+	0.898408i	−0.481068	+	0.876683i	$0.659751\pi$
$480$	−0.708397	−	1.81394i	−0.0323338	−	0.0827945i
$481$	−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
$485$	1.59659	−	22.3562i	0.0724975	−	1.01514i
$486$	−4.99021	−	2.98854i	−0.226361	−	0.135563i
$487$	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	$0.775723\pi$
$488$	−18.4151	−	11.8449i	−0.833613	−	0.536193i
$489$		−	1.44062i		−	0.0651473i
$490$	10.8166	+	19.3132i	0.488646	+	0.872482i
$491$	−17.3407			−0.782574			−0.391287	−	0.920269i	$-0.627970\pi$
$491$	−17.3407			−0.782574			−0.391287	+	0.920269i	$0.627970\pi$
$492$	−1.10962	+	0.594144i	−0.0500253	+	0.0267861i
$493$	14.5441	−	8.39704i	0.655033	−	0.378184i
$494$	−4.97228	−	2.97781i	−0.223714	−	0.133978i
$495$	−0.680551	+	9.52937i	−0.0305885	+	0.428313i
$496$	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	$0.256058\pi$
$500$	5.44282	−	21.6881i	0.243410	−	0.969923i
$501$	−0.622543	+	0.359426i	−0.0278132	+	0.0160579i
$502$	7.02426	+	0.112380i	0.313508	+	0.00501576i
$503$			5.54215i			0.247112i	0.992338	+	0.123556i	$0.0394299\pi$
$503$			5.54215i			0.247112i	−0.992338	+	0.123556i	$0.960570\pi$
$504$	10.9258	+	19.4086i	0.486675	+	0.864528i
$505$	18.5380	−	9.00762i	0.824932	−	0.400834i
$506$	0.0662402	−	4.14032i	0.00294473	−	0.184060i
$507$	−0.909138	−	1.57467i	−0.0403763	−	0.0699337i
$508$	−38.2028	−	1.22271i	−1.69498	−	0.0542491i
$509$	−6.65860	+	11.5330i	−0.295137	+	0.511193i	−0.975017	−	0.222131i	$-0.928699\pi$
$509$	−6.65860	+	11.5330i	−0.295137	+	0.511193i	0.679880	+	0.733324i	$0.262032\pi$
$510$	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
$514$	−24.7926	−	14.8478i	−1.09356	−	0.654909i
$515$	9.42626	−	13.9304i	0.415371	−	0.613848i
$516$	0.576016	−	0.308428i	0.0253577	−	0.0135778i
$517$			10.2191i			0.449435i
$518$	−16.8164	−	27.7563i	−0.738870	−	1.21954i
$519$			1.69092i			0.0742230i
$520$	−0.820813	+	6.84829i	−0.0359950	+	0.300318i
$521$	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	$0.242342\pi$
$522$	10.9610	−	18.3025i	0.479752	−	0.801080i
$523$	0.486030	−	0.841829i	0.0212526	−	0.0368106i	−0.855203	−	0.518292i	$-0.826568\pi$
$523$	0.486030	−	0.841829i	0.0212526	−	0.0368106i	0.876456	+	0.481482i	$0.159901\pi$
$524$	−20.2253	−	12.5564i	−0.883546	−	0.548530i
$525$	0.214411	−	2.02527i	0.00935766	−	0.0883902i
$526$	−7.19417	+	4.00150i	−0.313681	+	0.174474i
$527$	−16.3166	+	28.2612i	−0.710762	+	1.23108i
$528$	−0.490051	+	0.735736i	−0.0213267	+	0.0320188i
$529$	9.41981	+	16.3156i	0.409557	+	0.709373i
$530$	6.02414	+	12.9197i	0.261672	+	0.561195i
$531$			22.9781i			0.997165i
$532$	−10.0305	−	17.1698i	−0.434879	−	0.744404i
$533$	4.45807			0.193101
$534$	2.41688	+	0.0386672i	0.104589	+	0.00167329i
$535$	9.70857	−	14.3476i	0.419738	−	0.620302i
$536$	−16.4869	−	32.0110i	−0.712125	−	1.38266i
$537$	−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	0.524618	−	0.851338i	$-0.324208\pi$
$541$	1.15477	+	0.666704i	0.0496472	+	0.0286638i	−0.474971	+	0.880001i	$0.657541\pi$
$542$	23.0563	+	13.8080i	0.990355	+	0.593105i
$543$	0.336413	+	0.582684i	0.0144369	+	0.0250054i
$544$	−16.9295	+	8.04489i	−0.725846	+	0.344922i
$545$	15.3020	+	31.4922i	0.655467	+	1.34898i
$546$	0.0132654	+	0.628061i	0.000567708	+	0.0268785i
$547$		−	16.3516i		−	0.699145i	−0.936909	−	0.349572i	$-0.886327\pi$
$547$		−	16.3516i		−	0.699145i	0.936909	−	0.349572i	$-0.113673\pi$
$548$	−25.6993	+	13.7607i	−1.09782	+	0.587827i
$549$	−11.5202	−	19.9535i	−0.491668	−	0.851595i
$550$	−9.48189	+	3.62336i	−0.404309	+	0.154501i
$551$	−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
$555$	−0.212693	+	2.97822i	−0.00902832	+	0.126418i
$556$	−0.932242	+	29.1273i	−0.0395359	+	1.23527i
$557$	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	$0.604375\pi$
$558$	−0.663135	+	41.4490i	−0.0280727	+	1.75468i
$559$	−2.31424			−0.0978820
$560$	−13.7838	+	19.2355i	−0.582473	+	0.812850i
$561$	−0.732274			−0.0309167
$562$	0.206693	−	12.9193i	0.00871882	−	0.544967i
$563$	3.32761	+	5.76359i	0.140242	+	0.242906i	0.927588	−	0.373606i	$-0.121879\pi$
$563$	3.32761	+	5.76359i	0.140242	+	0.242906i	−0.787346	+	0.616512i	$0.788545\pi$
$564$	0.0701175	−	2.19077i	0.00295248	−	0.0922482i
$565$	32.9812	+	2.35539i	1.38753	+	0.0990920i
$566$	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	$0.139049\pi$
$570$	−0.159499	+	1.82253i	−0.00668066	+	0.0763374i
$571$	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	$0.615144\pi$
$572$	2.76024	−	1.47797i	0.115412	−	0.0617971i
$573$			2.76817i			0.115642i
$574$	13.4048	+	7.36629i	0.559504	+	0.307463i
$575$	−6.30262	+	8.01789i	−0.262838	+	0.334369i
$576$	−13.8266	+	19.3845i	−0.576108	+	0.807689i
$577$	10.8896	+	18.8613i	0.453340	+	0.785208i	0.998591	−	0.0530650i	$-0.0168991\pi$
$577$	10.8896	+	18.8613i	0.453340	+	0.785208i	−0.545251	+	0.838273i	$0.683566\pi$
$578$	7.30514	+	4.37491i	0.303854	+	0.181972i
$579$	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
$584$	−24.2591	+	12.4944i	−1.00385	+	0.517021i
$585$	−4.06748	+	6.01105i	−0.168170	+	0.248526i
$586$	−11.0501	−	0.176789i	−0.456477	−	0.00730309i
$587$	−29.3485			−1.21134			−0.605671	−	0.795715i	$-0.707095\pi$
$587$	−29.3485			−1.21134			−0.605671	+	0.795715i	$0.707095\pi$
$588$	−0.997889	+	1.91041i	−0.0411523	+	0.0787838i
$589$		−	37.0105i		−	1.52499i
$590$	−22.1268	+	10.3172i	−0.910946	+	0.424752i
$591$	1.41141	+	2.44464i	0.0580578	+	0.100559i
$592$	19.2327	−	28.8749i	0.790459	−	1.18675i
$593$	−9.38410	+	16.2537i	−0.385359	+	0.667461i	−0.991819	−	0.127653i	$-0.959256\pi$
$593$	−9.38410	+	16.2537i	−0.385359	+	0.667461i	0.606460	+	0.795114i	$0.292589\pi$
$594$	−1.63233	+	0.907925i	−0.0669753	+	0.0372526i
$595$	−19.5912	−	0.669881i	−0.803162	−	0.0274625i
$596$	−11.5556	−	7.17401i	−0.473334	−	0.293859i
$597$	−0.391729	+	0.678495i	−0.0160324	+	0.0277689i
$598$	1.61628	−	2.69883i	0.0660946	−	0.110364i
$599$	0.724292	−	0.418170i	0.0295938	−	0.0170860i	−0.485130	−	0.874442i	$-0.661228\pi$
$599$	0.724292	−	0.418170i	0.0295938	−	0.0170860i	0.514724	+	0.857356i	$0.327894\pi$
$600$	2.05759	−	0.711719i	0.0840010	−	0.0290558i
$601$			19.1094i			0.779488i	0.920923	+	0.389744i	$0.127436\pi$
$601$			19.1094i			0.779488i	−0.920923	+	0.389744i	$0.872564\pi$
$602$	−6.95858	−	3.82394i	−0.283611	−	0.155852i
$603$		−	37.8897i		−	1.54299i
$604$	2.21123	−	1.18400i	0.0899737	−	0.0481764i
$605$	−16.5550	−	11.2022i	−0.673055	−	0.455434i
$606$	1.72167	+	1.03108i	0.0699381	+	0.0418846i
$607$	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
$612$	−19.7136	−	0.630949i	−0.796874	−	0.0255046i
$613$	−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	$0.847478\pi$
$614$	0.728417	−	45.5295i	0.0293965	−	1.83742i
$615$	−0.615017	−	1.26573i	−0.0247999	−	0.0510392i
$616$	10.7418	+	0.116841i	0.432798	+	0.00470765i
$617$		−	5.71433i		−	0.230050i	−0.993363	−	0.115025i	$-0.963305\pi$
$617$		−	5.71433i		−	0.230050i	0.993363	−	0.115025i	$-0.0366949\pi$
$618$	1.63751	+	0.0261983i	0.0658704	+	0.00105385i
$619$	−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	$0.417976\pi$
$620$	−40.2111	+	17.9721i	−1.61492	+	0.721776i
$621$	−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
$625$	23.9903	+	7.03327i	0.959611	+	0.281331i
$626$	21.9777	+	13.1621i	0.878407	+	0.526061i
$627$	0.719233	−	0.415249i	0.0287234	−	0.0165835i
$628$	−9.09929	+	4.87221i	−0.363101	+	0.194422i
$629$	28.7391			1.14590
$630$	−22.1627	+	11.3534i	−0.882982	+	0.452332i
$631$			39.1013i			1.55660i	0.627893	+	0.778300i	$0.283918\pi$
$631$			39.1013i			1.55660i	−0.627893	+	0.778300i	$0.716082\pi$
$632$	4.95000	−	7.69570i	0.196900	−	0.306119i
$633$	−2.00310	−	3.46948i	−0.0796162	−	0.137899i
$634$	0.399134	+	0.239033i	0.0158516	+	0.00949323i
$635$	3.04414	−	42.6254i	0.120803	−	1.69154i
$636$	−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
$640$	−24.8745	−	4.61068i	−0.983252	−	0.182253i
$641$	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	$0.795488\pi$
$642$	1.68656	+	0.0269829i	0.0665630	+	0.00106493i
$643$	−7.80386			−0.307754			−0.153877	−	0.988090i	$-0.549176\pi$
$643$	−7.80386			−0.307754			−0.153877	+	0.988090i	$0.549176\pi$
$644$	9.31933	−	5.44434i	0.367233	−	0.214537i
$645$	0.319263	+	0.657057i	0.0125710	+	0.0258716i
$646$	17.6071	+	0.281692i	0.692741	+	0.0110830i
$647$	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	$0.0792013\pi$
$648$	−22.0957	+	11.3801i	−0.868000	+	0.447054i
$649$	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	$0.991006\pi$
$654$	−1.75158	+	2.92475i	−0.0684921	+	0.114367i
$655$	14.9161	−	22.0435i	0.582821	−	0.861312i
$656$	−1.04561	+	16.3180i	−0.0408244	+	0.637112i
$657$	−28.7142			−1.12025
$658$	−22.7811	+	13.8021i	−0.888098	+	0.538063i
$659$	−17.4318			−0.679047			−0.339524	−	0.940597i	$-0.610266\pi$
$659$	−17.4318			−0.679047			−0.339524	+	0.940597i	$0.610266\pi$
$660$	−0.800416	−	0.579789i	−0.0311561	−	0.0225683i
$661$	−8.06543	−	13.9697i	−0.313709	−	0.543360i	0.665453	−	0.746439i	$-0.268238\pi$
$661$	−8.06543	−	13.9697i	−0.313709	−	0.543360i	−0.979162	+	0.203080i	$0.934905\pi$
$662$	0.889304	+	0.532587i	0.0345638	+	0.0206996i
$663$	−0.481778	−	0.278155i	−0.0187107	−	0.0108026i
$664$	−1.19429	+	24.8660i	−0.0463475	+	0.964986i
$665$	19.6222	−	10.4516i	0.760915	−	0.405296i
$666$	31.9044	−	17.7457i	1.23627	−	0.687632i
$667$	−8.95308	−	5.16906i	−0.346665	−	0.200147i
$668$	−0.298738	+	9.33386i	−0.0115585	+	0.361138i
$669$	−1.01414	+	0.585513i	−0.0392089	+	0.0226372i
$670$	36.4859	−	17.0125i	1.40957	−	0.657251i
$671$	−11.1127			−0.429001
$672$	−2.30202	−	0.0987522i	−0.0888025	−	0.00380945i
$673$			18.9217i			0.729376i	0.931130	+	0.364688i	$0.118824\pi$
$673$			18.9217i			0.729376i	−0.931130	+	0.364688i	$0.881176\pi$
$674$	−38.1492	−	0.610343i	−1.46945	−	0.0235095i
$675$	4.55363	+	0.653739i	0.175269	+	0.0251624i
$676$	−23.6093	−	0.755634i	−0.908049	−	0.0290628i
$677$	−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
$682$	17.1532	+	10.2727i	0.656830	+	0.393363i
$683$	−41.4706	+	23.9431i	−1.58683	+	0.916157i	−0.593005	+	0.805199i	$0.702058\pi$
$683$	−41.4706	+	23.9431i	−1.58683	+	0.916157i	−0.993825	+	0.110957i	$0.964608\pi$
$684$	19.7203	−	10.5592i	0.754024	−	0.403742i
$685$	−14.2441	−	29.3149i	−0.544239	−	1.12007i
$686$	26.0726	−	2.49356i	0.995458	−	0.0952047i
$687$	3.43156			0.130922
$688$	0.542792	−	8.47090i	0.0206938	−	0.322950i
$689$	4.25747	−	2.45805i	0.162197	−	0.0936442i
$690$	−0.989225	−	0.0865720i	−0.0376592	−	0.00329574i
$691$	−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
$695$	−32.4992	−	2.32097i	−1.23276	−	0.0880393i
$696$	1.01054	+	1.96207i	0.0383045	+	0.0743720i
$697$	−11.7303	+	6.77249i	−0.444317	+	0.256527i
$698$	−0.0516215	+	3.22658i	−0.00195390	+	0.122128i
$699$			3.12108i			0.118050i
$700$	−20.8839	−	16.2439i	−0.789337	−	0.613961i
$701$			19.4072i			0.733001i	0.930418	+	0.366501i	$0.119444\pi$
$701$			19.4072i			0.733001i	−0.930418	+	0.366501i	$0.880556\pi$
$702$	−1.41882	−	0.0226994i	−0.0535498	−	0.000856734i
$703$	−28.2272	+	16.2970i	−1.06461	+	0.614653i
$704$	4.76247	+	10.4501i	0.179492	+	0.393851i
$705$	2.44439	+	0.174569i	0.0920609	+	0.00657464i
$706$	−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	0.671110	−	0.741357i	$-0.265818\pi$
$709$	9.70905	+	5.60552i	0.364631	+	0.210520i	−0.306479	+	0.951877i	$0.599151\pi$
$710$	−1.40594	+	16.0651i	−0.0527638	+	0.602912i
$711$	8.33860	−	4.81429i	0.312722	−	0.180550i
$712$	16.9875	−	26.4102i	0.636633	−	0.989765i
$713$	20.0884			0.752316
$714$	−0.989026	−	1.63243i	−0.0370134	−	0.0610923i
$715$	1.52990	+	3.14859i	0.0572149	+	0.117750i
$716$	13.5907	+	25.3818i	0.507908	+	0.948562i
$717$	−3.74486	+	2.16210i	−0.139854	+	0.0807450i
$718$	7.93658	−	13.2523i	0.296190	−	0.494573i
$719$	−15.1911	+	26.3118i	−0.566534	+	0.981265i	0.430371	+	0.902652i	$0.358383\pi$
$719$	−15.1911	+	26.3118i	−0.566534	+	0.981265i	−0.996905	+	0.0786133i	$0.974951\pi$
$720$	−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
$724$	8.73625	+	0.279611i	0.324680	+	0.0103917i
$725$	−3.60132	+	25.0850i	−0.133750	+	0.931635i
$726$	0.0311341	−	1.94602i	0.00115549	−	0.0722237i
$727$		−	5.27724i		−	0.195722i	−0.995200	−	0.0978611i	$-0.968800\pi$
$727$		−	5.27724i		−	0.195722i	0.995200	−	0.0978611i	$-0.0312001\pi$
$728$	7.02284	+	4.15713i	0.260284	+	0.154074i
$729$	−25.7285			−0.952909
$730$	−12.8927	−	27.6504i	−0.477180	−	1.02339i
$731$	6.08935	−	3.51569i	0.225223	−	0.130032i
$732$	2.38235	+	0.0762489i	0.0880540	+	0.00281824i
$733$	−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
$735$	−2.09041	−	1.19873i	−0.0771061	−	0.0442159i
$736$	9.49954	+	6.54912i	0.350158	+	0.241404i
$737$	−15.8264	−	9.13738i	−0.582973	−	0.336580i
$738$	−8.84045	+	14.7616i	−0.325421	+	0.543382i
$739$	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	$0.632136\pi$
$740$	31.4134	+	22.7546i	1.15478	+	0.836476i
$741$	0.630930			0.0231778
$742$	16.8631	−	0.356170i	0.619065	−	0.0130754i
$743$	−9.26158			−0.339774			−0.169887	−	0.985464i	$-0.554340\pi$
$743$	−9.26158			−0.339774			−0.169887	+	0.985464i	$0.554340\pi$
$744$	−3.60683	−	2.31997i	−0.132233	−	0.0850542i
$745$	8.52220	−	12.5944i	0.312229	−	0.461423i
$746$	−17.4970	−	10.4786i	−0.640611	−	0.383650i
$747$	−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	0.996063	−	0.0886436i	$-0.0282532\pi$
$751$	38.8410	+	22.4249i	1.41733	+	0.818294i	0.421264	+	0.906938i	$0.361587\pi$
$752$	−23.6992	−	15.7853i	−0.864221	−	0.575631i
$753$	−0.662303	+	0.382381i	−0.0241357	+	0.0139347i
$754$	0.125047	−	7.81599i	0.00455393	−	0.284642i
$755$	1.22560	+	2.52233i	0.0446041	+	0.0917971i
$756$	−4.22867	−	2.41264i	−0.153795	−	0.0877467i
$757$	−20.8029			−0.756093			−0.378047	−	0.925787i	$-0.623404\pi$
$757$	−20.8029			−0.756093			−0.378047	+	0.925787i	$0.623404\pi$
$758$	0.179287	−	11.2063i	0.00651200	−	0.407030i
$759$	0.225387	+	0.390382i	0.00818104	+	0.0141700i
$760$	19.0224	+	14.2486i	0.690017	+	0.516850i
$761$	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
$765$	1.57085	−	21.9957i	0.0567942	−	0.795257i
$766$	−16.7641	+	27.9924i	−0.605712	+	1.01141i
$767$	4.20976	+	7.29152i	0.152006	+	0.263282i
$768$	−0.949279	−	2.27297i	−0.0342542	−	0.0820186i
$769$		−	28.4014i		−	1.02418i	−0.858931	−	0.512091i	$-0.828871\pi$
$769$		−	28.4014i		−	1.02418i	0.858931	−	0.512091i	$-0.171129\pi$
$770$	−0.602392	+	11.9953i	−0.0217087	+	0.432279i
$771$	3.14592			0.113298
$772$	17.7055	−	9.48041i	0.637235	−	0.341208i
$773$	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	$-0.00383107\pi$
$774$	4.58919	−	7.66294i	0.164955	−	0.275439i
$775$	−18.3115	−	45.7122i	−0.657768	−	1.64203i
$776$	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
$780$	−0.306376	−	0.685493i	−0.0109700	−	0.0245446i
$781$	6.33983	−	3.66030i	0.226857	−	0.130976i
$782$	−0.152896	+	9.55669i	−0.00546754	+	0.341747i
$783$			4.66329i			0.166652i
$784$	14.2476	+	24.1041i	0.508843	+	0.860859i
$785$	−5.04338	−	10.3795i	−0.180006	−	0.370460i
$786$	2.59120	+	0.0414562i	0.0924252	+	0.00147869i
$787$	21.5827	+	37.3824i	0.769342	+	1.33254i	0.937920	+	0.346851i	$0.112749\pi$
$787$	21.5827	+	37.3824i	0.769342	+	1.33254i	−0.168578	+	0.985688i	$0.553918\pi$
$788$	36.6528	+	1.17310i	1.30570	+	0.0417900i
$789$	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
$794$	−26.0900	+	43.5646i	−0.925899	+	1.54605i
$795$	−1.28523	−	0.869672i	−0.0455824	−	0.0308441i
$796$	4.80441	+	8.97265i	0.170288	+	0.318027i
$797$			29.9946i			1.06246i	0.847226	+	0.531232i	$0.178271\pi$
$797$			29.9946i			1.06246i	−0.847226	+	0.531232i	$0.821729\pi$
$798$	1.89711	+	1.04252i	0.0671571	+	0.0369047i
$799$		−	23.5877i		−	0.834473i
$800$	6.24359	−	27.5865i	0.220744	−	0.975332i
$801$	28.6165	−	16.5218i	1.01112	−	0.583768i
$802$	5.92376	+	3.54763i	0.209175	+	0.125271i
$803$	−6.92464	+	11.9938i	−0.244365	+	0.423253i
$804$	3.33018	+	2.06747i	0.117446	+	0.0729140i
$805$	5.67288	+	10.6504i	0.199943	+	0.375379i
$806$	7.38334	+	13.2743i	0.260067	+	0.467567i
$807$	2.04865	−	3.54836i	0.0721157	−	0.124908i
$808$	23.1771	−	11.9371i	0.815368	−	0.419947i
$809$	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	$0.771311\pi$
$810$	−11.7429	−	25.1845i	−0.412605	−	0.884895i
$811$		−	47.9974i		−	1.68542i	−0.538370	−	0.842709i	$-0.680960\pi$
$811$		−	47.9974i		−	1.68542i	0.538370	−	0.842709i	$-0.319040\pi$
$812$	13.2907	−	23.2949i	0.466414	−	0.817491i
$813$	−2.92561			−0.102605
$814$	0.281674	−	17.6059i	0.00987265	−	0.617087i
$815$	11.7264	−	17.3297i	0.410758	−	0.607032i
$816$	1.13114	−	1.69823i	0.0395977	−	0.0594499i
$817$	−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	0.962157	−	0.272495i	$-0.0878489\pi$
$821$	34.5914	+	19.9714i	1.20725	+	0.697005i	0.245091	+	0.969500i	$0.421182\pi$
$822$	1.63048	−	2.72255i	0.0568696	−	0.0949597i
$823$	−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	$0.898251\pi$
$824$	11.5096	−	17.8938i	0.400955	−	0.623360i
$825$	0.682884	−	0.868732i	0.0237750	−	0.0302454i
$826$	0.609992	+	28.8805i	0.0212243	+	1.00488i
$827$			4.81807i			0.167541i	0.996485	+	0.0837703i	$0.0266962\pi$
$827$			4.81807i			0.167541i	−0.996485	+	0.0837703i	$0.973304\pi$
$828$	5.73129	+	10.7037i	0.199176	+	0.371979i
$829$	−1.81411	−	3.14212i	−0.0630065	−	0.109130i	0.832801	−	0.553572i	$-0.186736\pi$
$829$	−1.81411	−	3.14212i	−0.0630065	−	0.109130i	−0.895808	+	0.444441i	$0.853402\pi$
$830$	−27.7271	−	2.42653i	−0.962420	−	0.0842262i
$831$	−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
$835$	−10.4144	−	0.743756i	−0.360405	−	0.0257387i
$836$	0.345136	−	10.7835i	0.0119368	−	0.372957i
$837$	−4.53070	−	7.84741i	−0.156604	−	0.271246i
$838$	28.0526	+	0.448808i	0.969060	+	0.0155038i
$839$	29.9571			1.03423			0.517117	−	0.855914i	$-0.327005\pi$
$839$	29.9571			1.03423			0.517117	+	0.855914i	$0.327005\pi$
$840$	0.211446	−	2.56742i	0.00729557	−	0.0885843i
$841$	3.31084			0.114167
$842$	21.4013	+	0.342396i	0.737538	+	0.0117997i
$843$	0.703289	+	1.21813i	0.0242226	+	0.0419547i
$844$	−52.0183	−	1.66489i	−1.79054	−	0.0573078i
$845$	1.88127	−	26.3424i	0.0647178	−	0.906206i
$846$	−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
$850$	21.8861	−	8.36345i	0.750688	−	0.286864i
$851$	−8.84562	−	15.3211i	−0.303224	−	0.525199i
$852$	−1.38425	+	0.741198i	−0.0474237	+	0.0253930i
$853$		−	35.0267i		−	1.19929i	−0.800265	−	0.599646i	$-0.795308\pi$
$853$		−	35.0267i		−	1.19929i	0.800265	−	0.599646i	$-0.204692\pi$
$854$	−15.0091	−	24.7732i	−0.513599	−	0.847720i
$855$	10.9302	+	22.4948i	0.373805	+	0.769304i
$856$	11.8543	−	18.4297i	0.405171	−	0.629914i
$857$	−11.5132	−	19.9415i	−0.393285	−	0.681190i	0.599596	−	0.800303i	$-0.295328\pi$
$857$	−11.5132	−	19.9415i	−0.393285	−	0.681190i	−0.992881	+	0.119113i	$0.961995\pi$
$858$	−0.175123	+	0.292417i	−0.00597859	+	0.00998294i
$859$	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	$-0.0922503\pi$
$864$	0.415863	−	5.18802i	0.0141479	−	0.176500i
$865$	−13.7637	+	20.3405i	−0.467981	+	0.691598i
$866$	−0.540029	+	33.7543i	−0.0183509	+	1.14702i
$867$	−0.926945			−0.0314807
$868$	0.266857	+	52.1136i	0.00905773	+	1.76885i
$869$		−	4.64401i		−	0.157537i
$870$	−2.23636	+	1.04276i	−0.0758196	+	0.0353528i
$871$	−6.94167	−	12.0233i	−0.235210	−	0.407395i
$872$	20.2786	+	39.3730i	0.686721	+	1.33334i
$873$	14.9164	−	25.8359i	0.504843	−	0.874414i
$874$	−5.26912	−	9.47319i	−0.178231	−	0.320435i
$875$	19.0646	−	22.6173i	0.644500	−	0.764605i
$876$	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	$0.0397548\pi$
$878$	−14.6144	−	8.75231i	−0.493214	−	0.295376i
$879$	1.04190	−	0.601539i	0.0351423	−	0.0202894i
$880$	−11.8837	+	4.86145i	−0.400599	+	0.163879i
$881$			0.715575i			0.0241083i	0.999927	+	0.0120542i	$0.00383706\pi$
$881$			0.715575i			0.0241083i	−0.999927	+	0.0120542i	$0.996163\pi$
$882$	1.71482	+	29.4139i	0.0577409	+	0.990418i
$883$			19.0102i			0.639743i	0.947461	+	0.319871i	$0.103640\pi$
$883$			19.0102i			0.639743i	−0.947461	+	0.319871i	$0.896360\pi$
$884$	−6.37120	+	3.41146i	−0.214287	+	0.114740i
$885$	1.48944	−	2.20114i	0.0500669	−	0.0739904i
$886$	−26.0492	+	43.4965i	−0.875141	+	1.46129i
$887$	−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
$892$	−0.486652	+	15.2051i	−0.0162943	+	0.509104i
$893$	13.3758	+	23.1676i	0.447605	+	0.775275i
$894$	1.48046	+	0.0236856i	0.0495140	+	0.000792166i
$895$	−28.9528	+	14.0682i	−0.967786	+	0.470247i
$896$	−16.8637	+	24.7309i	−0.563375	+	0.826201i
$897$			0.342453i			0.0114342i
$898$	0.567094	−	35.4460i	0.0189242	−	1.18285i
$899$	43.2298	−	24.9588i	1.44180	−	0.832421i
$900$	19.1325	−	22.7988i	0.637749	−	0.759959i
$901$	−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
$905$	−0.696136	+	9.74760i	−0.0231404	+	0.324021i
$906$	−0.140291	+	0.234255i	−0.00466085	+	0.00778260i
$907$	−16.6255	+	9.59872i	−0.552039	+	0.318720i	−0.749944	−	0.661501i	$-0.769920\pi$
$907$	−16.6255	+	9.59872i	−0.552039	+	0.318720i	0.197905	+	0.980221i	$0.436586\pi$
$908$	−20.0496	−	37.4445i	−0.665371	−	1.24264i
$909$	27.4335			0.909913
$910$	−4.95272	+	7.66310i	−0.164181	+	0.254029i
$911$		−	11.8154i		−	0.391462i	−0.980658	−	0.195731i	$-0.937292\pi$
$911$		−	11.8154i		−	0.391462i	0.980658	−	0.195731i	$-0.0627079\pi$
$912$	−0.147981	+	2.30941i	−0.00490014	+	0.0764723i
$913$	6.31739	+	10.9420i	0.209075	+	0.362129i
$914$	21.9052	−	36.5770i	0.724561	−	1.20986i
$915$	−0.189834	+	2.65814i	−0.00627572	+	0.0878753i
$916$	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	0.396738	−	0.917932i	$-0.370142\pi$
$919$	−6.05833	−	3.49778i	−0.199846	−	0.115381i	−0.596584	+	0.802551i	$0.703476\pi$
$920$	−7.73378	+	10.3249i	−0.254975	+	0.340403i
$921$	2.47850	+	4.29288i	0.0816692	+	0.141455i
$922$	0.146728	−	9.17120i	0.00483224	−	0.302037i
$923$	5.56147			0.183058
$924$	−1.00974	+	0.589890i	−0.0332181	+	0.0194059i
$925$	−26.8007	+	34.0945i	−0.881201	+	1.12102i
$926$	−0.230407	+	14.4015i	−0.00757165	+	0.473264i
$927$	19.3886	−	11.1940i	0.636806	−	0.367660i
$928$	28.5798	+	2.29091i	0.938178	+	0.0752027i
$929$	−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
$934$	−2.25261	−	1.34905i	−0.0737078	−	0.0441422i
$935$	−8.80873	−	5.96057i	−0.288076	−	0.194932i
$936$	−4.96644	+	7.72127i	−0.162333	+	0.252377i
$937$	−5.82954			−0.190443			−0.0952214	−	0.995456i	$-0.530356\pi$
$937$	−5.82954			−0.190443			−0.0952214	+	0.995456i	$0.530356\pi$
$938$	−1.00584	−	47.6224i	−0.0328420	−	1.55493i
$939$	−2.78874			−0.0910072
$940$	18.6759	−	25.7827i	0.609142	−	0.840937i
$941$	−5.75307	−	9.96461i	−0.187545	−	0.324837i	0.756886	−	0.653547i	$-0.226720\pi$
$941$	−5.75307	−	9.96461i	−0.187545	−	0.324837i	−0.944431	+	0.328710i	$0.893386\pi$
$942$	0.577301	−	0.963967i	0.0188095	−	0.0314077i
$943$	7.22096	+	4.16902i	0.235147	+	0.135762i
$944$	−27.6768	+	13.6989i	−0.900802	+	0.445863i
$945$	2.88108	−	4.61816i	0.0937216	−	0.150229i
$946$	−2.09407	−	3.76487i	−0.0680841	−	0.122406i
$947$	−13.0808	−	7.55218i	−0.425068	−	0.245413i	0.272175	−	0.962248i	$-0.412257\pi$
$947$	−13.0808	−	7.55218i	−0.425068	−	0.245413i	−0.697243	+	0.716835i	$0.745590\pi$
$948$	−0.0318645	+	0.995586i	−0.00103491	+	0.0323351i
$949$	−9.11172	+	5.26065i	−0.295779	+	0.170768i
$950$	−16.7537	+	20.6254i	−0.543562	+	0.669177i
$951$	−0.0506458			−0.00164230
$952$	−24.7942	−	0.269692i	−0.803584	−	0.00874077i
$953$		−	13.7981i		−	0.446963i	−0.974708	−	0.223481i	$-0.928258\pi$
$953$		−	13.7981i		−	0.446963i	0.974708	−	0.223481i	$-0.0717422\pi$
$954$	−0.303525	+	18.9717i	−0.00982699	+	0.614232i
$955$	−22.5323	+	33.2990i	−0.729129	+	1.07753i
$956$	−1.79703	+	56.1471i	−0.0581202	+	1.81593i
$957$	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
$962$	6.87292	−	11.4763i	0.221592	−	0.370010i
$963$	19.9693	−	11.5293i	0.643502	−	0.371526i
$964$	38.4043	−	20.5636i	1.23692	−	0.662308i
$965$	9.81348	+	20.1965i	0.315907	+	0.650149i
$966$	−0.565853	+	1.02971i	−0.0182060	+	0.0331303i
$967$	−4.03799			−0.129853			−0.0649265	−	0.997890i	$-0.520681\pi$
$967$	−4.03799			−0.129853			−0.0649265	+	0.997890i	$0.520681\pi$
$968$	−21.2650	−	13.6780i	−0.683484	−	0.439627i
$969$	−1.66014	+	0.958479i	−0.0533312	+	0.0307908i
$970$	31.5762	+	2.76339i	1.01385	+	0.0887272i
$971$	−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
$975$	0.779271	−	0.312162i	0.0249566	−	0.00999720i
$976$	17.1657	−	25.7716i	0.549459	−	0.824929i
$977$	11.8967	−	6.86853i	0.380608	−	0.219744i	−0.297475	−	0.954730i	$-0.596144\pi$
$977$	11.8967	−	6.86853i	0.380608	−	0.219744i	0.678083	+	0.734986i	$0.262811\pi$
$978$	2.03709	+	0.0325910i	0.0651390	+	0.00104215i
$979$		−	15.9374i		−	0.509361i
$980$	−27.5542	+	14.8582i	−0.880187	+	0.474627i
$981$			46.6037i			1.48794i
$982$	0.392295	−	24.5203i	0.0125186	−	0.782473i
$983$	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	$0.272691\pi$
$984$	−0.815036	−	1.58247i	−0.0259824	−	0.0504474i
$985$	−2.92063	+	40.8959i	−0.0930589	+	1.30305i
$986$	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
$990$	−13.4594	−	1.17790i	−0.427769	−	0.0374362i
$991$	45.8394	−	26.4654i	1.45614	−	0.840701i	0.457318	−	0.889303i	$-0.348810\pi$
$991$	45.8394	−	26.4654i	1.45614	−	0.840701i	0.998818	+	0.0486023i	$0.0154767\pi$
$992$	−50.3200	+	23.9121i	−1.59766	+	0.759209i
$993$	−0.112843			−0.00358097
$994$	16.7225	+	9.18948i	0.530406	+	0.291473i
$995$	−10.2350	+	4.97319i	−0.324472	+	0.157661i
$996$	−1.27925	−	2.38911i	−0.0405345	−	0.0757018i
$997$	−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	$0.574033\pi$
$998$	−15.0231	−	8.99706i	−0.475549	−	0.284797i
$999$	−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.19.20	yes	80
4.3	odd	2		1120.2.bq.b.719.21		80
5.4	even	2	inner	280.2.ba.b.19.21	yes	80
7.3	odd	6	inner	280.2.ba.b.59.8	yes	80
8.3	odd	2	inner	280.2.ba.b.19.33	yes	80
8.5	even	2		1120.2.bq.b.719.22		80
20.19	odd	2		1120.2.bq.b.719.20		80
28.3	even	6		1120.2.bq.b.1039.19		80
35.24	odd	6	inner	280.2.ba.b.59.33	yes	80
40.19	odd	2	inner	280.2.ba.b.19.8	✓	80
40.29	even	2		1120.2.bq.b.719.19		80
56.3	even	6	inner	280.2.ba.b.59.21	yes	80
56.45	odd	6		1120.2.bq.b.1039.20		80
140.59	even	6		1120.2.bq.b.1039.22		80
280.59	even	6	inner	280.2.ba.b.59.20	yes	80
280.269	odd	6		1120.2.bq.b.1039.21		80

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

\(f(q)\)	\(=\)	\(q+(-0.0226228 + 1.41403i) q^{2} +(-0.0769760 - 0.133326i) q^{3} +(-1.99898 - 0.0639789i) q^{4} +(0.159286 - 2.23039i) q^{5} +(0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 - 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +O(q^{10})\)	\(q+(-0.0226228 + 1.41403i) q^{2} +(-0.0769760 - 0.133326i) q^{3} +(-1.99898 - 0.0639789i) q^{4} +(0.159286 - 2.23039i) 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} +(3.15024 + 0.275693i) q^{10} +(-0.717757 - 1.24319i) q^{11} +(0.145343 + 0.271441i) q^{12} -1.09056i q^{13} +(1.80199 - 3.27915i) q^{14} +(-0.309630 + 0.150449i) q^{15} +(3.99181 + 0.255785i) q^{16} +(1.65673 + 2.86954i) q^{17} +(3.61107 + 2.16260i) 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} +(-0.387114 + 0.199379i) q^{24} +(-4.94926 - 0.710538i) q^{25} +(1.54209 + 0.0246716i) q^{26} -0.920063 q^{27} +(4.59606 + 2.62225i) q^{28} -5.06845i q^{29} +(-0.205735 - 0.441231i) q^{30} +(4.92434 + 8.52921i) q^{31} +(-0.451994 + 5.63877i) q^{32} +(-0.110500 + 0.191392i) q^{33} +(-4.09510 + 2.27775i) q^{34} +(-3.13140 + 5.01940i) q^{35} +(-3.13968 + 5.05725i) q^{36} +(4.33672 - 7.51142i) q^{37} +(2.73053 - 4.55938i) q^{38} +(-0.145400 + 0.0839469i) q^{39} +(-6.27961 - 0.752652i) q^{40} +4.08787i q^{41} +(-0.575907 + 0.0121639i) q^{42} -2.12207i q^{43} +(1.35524 + 2.53103i) q^{44} +(-5.51189 - 3.72972i) q^{45} +(2.47472 + 1.48206i) 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} +(-0.0697728 + 2.18000i) q^{52} +(2.25393 + 3.90392i) q^{53} +(0.0208144 - 1.30100i) q^{54} +(-2.88713 + 1.40285i) q^{55} +(-3.81192 + 6.43966i) q^{56} +0.578537i q^{57} +(7.16695 + 0.114663i) q^{58} +(-6.68603 + 3.86018i) q^{59} +(0.628570 - 0.280935i) 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} +(-2.43237 - 0.173711i) q^{65} +(-0.268134 - 0.160581i) q^{66} +(11.0249 - 6.36523i) q^{67} +(-3.12817 - 5.84213i) q^{68} -0.314016 q^{69} +(-7.02675 - 4.54145i) q^{70} +5.09964i q^{71} +(-7.08009 - 4.55403i) q^{72} +(-4.82381 - 8.35508i) q^{73} +(10.5233 + 6.30219i) q^{74} +(0.286240 + 0.714560i) 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} +(1.20634 - 8.86255i) q^{80} +(-4.39363 - 7.60998i) q^{81} +(-5.78038 - 0.0924793i) q^{82} -8.80158 q^{83} +(-0.00417144 - 0.814626i) q^{84} +(6.66407 - 3.23807i) q^{85} +(3.00067 + 0.0480072i) q^{86} +(-0.675757 + 0.390149i) q^{87} +(-3.60962 + 1.85910i) 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} +(5.17255 - 8.63703i) q^{94} +(-4.70918 + 6.95938i) q^{95} +(0.786589 - 0.373787i) q^{96} +10.0234 q^{97} +(-8.27060 + 5.44032i) 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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