LMFDB - Embedded newform 308.2.l.a.243.35

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [308,2,Mod(199,308)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(308, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1, 0]))

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

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

chi := DirichletCharacter("308.199");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 308 = 2^{2} \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	308.l (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:	$2.45939238226$
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			243.35
Character	$\chi$	$=$	308.243
Dual form			308.2.l.a.199.35

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.25830 + 0.645500i) q^{2} +(-0.968599 - 1.67766i) q^{3} +(1.16666 + 1.62447i) q^{4} +(2.62593 + 1.51608i) q^{5} +(-0.135862 - 2.73624i) q^{6} +(-1.13810 + 2.38846i) q^{7} +(0.419420 + 2.79716i) q^{8} +(-0.376366 + 0.651886i) q^{9} +O(q^{10})$	\(q+(1.25830 + 0.645500i) q^{2} +(-0.968599 - 1.67766i) q^{3} +(1.16666 + 1.62447i) q^{4} +(2.62593 + 1.51608i) q^{5} +(-0.135862 - 2.73624i) q^{6} +(-1.13810 + 2.38846i) q^{7} +(0.419420 + 2.79716i) q^{8} +(-0.376366 + 0.651886i) q^{9} +(2.32559 + 3.60273i) q^{10} +(-0.866025 + 0.500000i) q^{11} +(1.59529 - 3.53072i) q^{12} -1.21076i q^{13} +(-2.97383 + 2.27076i) q^{14} -5.87390i q^{15} +(-1.27781 + 3.79041i) q^{16} +(2.50437 - 1.44590i) q^{17} +(-0.894376 + 0.577326i) q^{18} +(3.58654 - 6.21207i) q^{19} +(0.600741 + 6.03450i) q^{20} +(5.10939 - 0.404100i) q^{21} +(-1.41247 + 0.0701333i) q^{22} +(1.33152 + 0.768755i) q^{23} +(4.28643 - 3.41297i) q^{24} +(2.09701 + 3.63213i) q^{25} +(0.781542 - 1.52350i) q^{26} -4.35340 q^{27} +(-5.20776 + 0.937701i) q^{28} -9.30351 q^{29} +(3.79160 - 7.39116i) q^{30} +(1.61750 + 2.80160i) q^{31} +(-4.05458 + 3.94467i) q^{32} +(1.67766 + 0.968599i) q^{33} +(4.08458 - 0.202811i) q^{34} +(-6.60968 + 4.54646i) q^{35} +(-1.49806 + 0.149134i) q^{36} +(-3.02813 + 5.24488i) q^{37} +(8.52284 - 5.50156i) q^{38} +(-2.03124 + 1.17274i) q^{39} +(-3.13935 + 7.98102i) q^{40} -9.31403i q^{41} +(6.69001 + 2.78963i) q^{42} -9.31576i q^{43} +(-1.82259 - 0.823502i) q^{44} +(-1.97662 + 1.14120i) q^{45} +(1.17923 + 1.82683i) q^{46} +(-0.0158873 + 0.0275176i) q^{47} +(7.59671 - 1.52766i) q^{48} +(-4.40944 - 5.43662i) q^{49} +(0.294141 + 5.92394i) q^{50} +(-4.85145 - 2.80099i) q^{51} +(1.96684 - 1.41254i) q^{52} +(0.0965971 + 0.167311i) q^{53} +(-5.47790 - 2.81012i) q^{54} -3.03216 q^{55} +(-7.15823 - 2.18169i) q^{56} -13.8957 q^{57} +(-11.7066 - 6.00541i) q^{58} +(-0.813975 - 1.40985i) q^{59} +(9.54197 - 6.85285i) q^{60} +(2.93745 + 1.69594i) q^{61} +(0.226882 + 4.56936i) q^{62} +(-1.12866 - 1.64085i) q^{63} +(-7.64817 + 2.34637i) q^{64} +(1.83561 - 3.17936i) q^{65} +(1.48578 + 2.30172i) q^{66} +(6.71872 - 3.87905i) q^{67} +(5.27056 + 2.38140i) q^{68} -2.97846i q^{69} +(-11.2517 + 1.45429i) q^{70} +12.8729i q^{71} +(-1.98128 - 0.779342i) q^{72} +(-13.1045 + 7.56586i) q^{73} +(-7.19588 + 4.64500i) q^{74} +(4.06232 - 7.03615i) q^{75} +(14.2756 - 1.42115i) q^{76} +(-0.208600 - 2.63752i) q^{77} +(-3.31292 + 0.164496i) q^{78} +(-8.49120 - 4.90240i) q^{79} +(-9.10200 + 8.01610i) q^{80} +(5.34580 + 9.25919i) q^{81} +(6.01220 - 11.7199i) q^{82} +1.01001 q^{83} +(6.61737 + 7.82860i) q^{84} +8.76840 q^{85} +(6.01332 - 11.7221i) q^{86} +(9.01137 + 15.6081i) q^{87} +(-1.76181 - 2.21270i) q^{88} +(-3.85204 - 2.22398i) q^{89} +(-3.22384 + 0.160073i) q^{90} +(2.89184 + 1.37797i) q^{91} +(0.304616 + 3.05990i) q^{92} +(3.13342 - 5.42725i) q^{93} +(-0.0377536 + 0.0243702i) q^{94} +(18.8360 - 10.8750i) q^{95} +(10.5451 + 2.98141i) q^{96} -6.53865i q^{97} +(-2.03908 - 9.68722i) q^{98} -0.752733i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 12 q^{8} - 40 q^{9}+O(q^{10}) $ 80 * q + 12 * q^8 - 40 * q^9	$ 80 q + 12 q^{8} - 40 q^{9} - 18 q^{10} - 30 q^{12} - 4 q^{14} - 4 q^{16} - 10 q^{18} - 8 q^{21} + 40 q^{25} + 30 q^{26} + 16 q^{28} - 16 q^{29} + 36 q^{30} - 20 q^{32} - 20 q^{36} - 8 q^{37} - 12 q^{38} - 60 q^{40} + 4 q^{44} + 24 q^{45} - 10 q^{46} - 24 q^{49} - 64 q^{50} + 54 q^{52} - 30 q^{54} + 38 q^{56} + 80 q^{57} + 10 q^{58} - 12 q^{60} - 36 q^{64} - 16 q^{65} + 30 q^{66} + 60 q^{68} - 22 q^{70} - 38 q^{72} - 72 q^{73} + 28 q^{74} - 24 q^{78} + 42 q^{80} - 64 q^{81} - 90 q^{82} + 88 q^{84} - 2 q^{86} + 12 q^{88} - 120 q^{89} + 36 q^{92} + 8 q^{93} - 54 q^{94} - 42 q^{96} + 78 q^{98}+O(q^{100}) $ 80 * q + 12 * q^8 - 40 * q^9 - 18 * q^10 - 30 * q^12 - 4 * q^14 - 4 * q^16 - 10 * q^18 - 8 * q^21 + 40 * q^25 + 30 * q^26 + 16 * q^28 - 16 * q^29 + 36 * q^30 - 20 * q^32 - 20 * q^36 - 8 * q^37 - 12 * q^38 - 60 * q^40 + 4 * q^44 + 24 * q^45 - 10 * q^46 - 24 * q^49 - 64 * q^50 + 54 * q^52 - 30 * q^54 + 38 * q^56 + 80 * q^57 + 10 * q^58 - 12 * q^60 - 36 * q^64 - 16 * q^65 + 30 * q^66 + 60 * q^68 - 22 * q^70 - 38 * q^72 - 72 * q^73 + 28 * q^74 - 24 * q^78 + 42 * q^80 - 64 * q^81 - 90 * q^82 + 88 * q^84 - 2 * q^86 + 12 * q^88 - 120 * q^89 + 36 * q^92 + 8 * q^93 - 54 * q^94 - 42 * q^96 + 78 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/308\mathbb{Z}\right)^\times$.

$n$	$45$	$57$	$155$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$1$	$-1$

Coefficient data

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

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

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

$2$	1.25830	+	0.645500i	0.889756	+	0.456437i
$2$	1.25830	+	0.645500i	0.889756	+	0.456437i
$3$	−0.968599	−	1.67766i	−0.559221	−	0.968599i	−0.997562	−	0.0697899i	$-0.977767\pi$
$3$	−0.968599	−	1.67766i	−0.559221	−	0.968599i	0.438341	−	0.898809i	$-0.355566\pi$
$4$	1.16666	+	1.62447i	0.583330	+	0.812235i
$5$	2.62593	+	1.51608i	1.17435	+	0.678013i	0.954701	−	0.297566i	$-0.0961748\pi$
$5$	2.62593	+	1.51608i	1.17435	+	0.678013i	0.219651	+	0.975579i	$0.429508\pi$
$6$	−0.135862	−	2.73624i	−0.0554654	−	1.11707i
$7$	−1.13810	+	2.38846i	−0.430163	+	0.902751i
$7$	−1.13810	+	2.38846i	−0.430163	+	0.902751i
$8$	0.419420	+	2.79716i	0.148287	+	0.988944i
$9$	−0.376366	+	0.651886i	−0.125455	+	0.217295i
$10$	2.32559	+	3.60273i	0.735417	+	1.13928i
$11$	−0.866025	+	0.500000i	−0.261116	+	0.150756i
$11$	−0.866025	+	0.500000i	−0.261116	+	0.150756i
$12$	1.59529	−	3.53072i	0.460519	−	1.01923i
$13$		−	1.21076i		−	0.335803i	−0.985804	−	0.167902i	$-0.946301\pi$
$13$		−	1.21076i		−	0.335803i	0.985804	−	0.167902i	$-0.0536991\pi$
$14$	−2.97383	+	2.27076i	−0.794789	+	0.606886i
$15$		−	5.87390i		−	1.51663i
$16$	−1.27781	+	3.79041i	−0.319451	+	0.947603i
$17$	2.50437	−	1.44590i	0.607398	−	0.350682i	−0.164548	−	0.986369i	$-0.552617\pi$
$17$	2.50437	−	1.44590i	0.607398	−	0.350682i	0.771947	+	0.635687i	$0.219283\pi$
$18$	−0.894376	+	0.577326i	−0.210806	+	0.136077i
$19$	3.58654	−	6.21207i	0.822808	−	1.42515i	−0.0807748	−	0.996732i	$-0.525739\pi$
$19$	3.58654	−	6.21207i	0.822808	−	1.42515i	0.903583	−	0.428413i	$-0.140927\pi$
$20$	0.600741	+	6.03450i	0.134330	+	1.34936i
$21$	5.10939	−	0.404100i	1.11496	−	0.0881819i
$22$	−1.41247	+	0.0701333i	−0.301140	+	0.0149525i
$23$	1.33152	+	0.768755i	0.277642	+	0.160297i	0.632355	−	0.774678i	$-0.282088\pi$
$23$	1.33152	+	0.768755i	0.277642	+	0.160297i	−0.354714	+	0.934975i	$0.615422\pi$
$24$	4.28643	−	3.41297i	0.874965	−	0.696669i
$25$	2.09701	+	3.63213i	0.419402	+	0.726426i
$26$	0.781542	−	1.52350i	0.153273	−	0.298783i
$27$	−4.35340			−0.837812
$28$	−5.20776	+	0.937701i	−0.984173	+	0.177209i
$29$	−9.30351			−1.72762			−0.863809	−	0.503819i	$-0.831928\pi$
$29$	−9.30351			−1.72762			−0.863809	+	0.503819i	$0.831928\pi$
$30$	3.79160	−	7.39116i	0.692248	−	1.34943i
$31$	1.61750	+	2.80160i	0.290512	+	0.503182i	0.973931	−	0.226845i	$-0.0728410\pi$
$31$	1.61750	+	2.80160i	0.290512	+	0.503182i	−0.683419	+	0.730027i	$0.739508\pi$
$32$	−4.05458	+	3.94467i	−0.716755	+	0.697325i
$33$	1.67766	+	0.968599i	0.292043	+	0.168611i
$34$	4.08458	−	0.202811i	0.700500	−	0.0347818i
$35$	−6.60968	+	4.54646i	−1.11724	+	0.768492i
$36$	−1.49806	+	0.149134i	−0.249677	+	0.0248556i
$37$	−3.02813	+	5.24488i	−0.497822	+	0.862253i	−0.999997	−	0.00251320i	$-0.999200\pi$
$37$	−3.02813	+	5.24488i	−0.497822	+	0.862253i	0.502175	+	0.864766i	$0.332533\pi$
$38$	8.52284	−	5.50156i	1.38259	−	0.892471i
$39$	−2.03124	+	1.17274i	−0.325259	+	0.187788i
$40$	−3.13935	+	7.98102i	−0.496375	+	1.26191i
$41$		−	9.31403i		−	1.45461i	−0.686316	−	0.727303i	$-0.740773\pi$
$41$		−	9.31403i		−	1.45461i	0.686316	−	0.727303i	$-0.259227\pi$
$42$	6.69001	+	2.78963i	1.03229	+	0.430449i
$43$		−	9.31576i		−	1.42064i	−0.703879	−	0.710320i	$-0.748550\pi$
$43$		−	9.31576i		−	1.42064i	0.703879	−	0.710320i	$-0.251450\pi$
$44$	−1.82259	−	0.823502i	−0.274766	−	0.124148i
$45$	−1.97662	+	1.14120i	−0.294658	+	0.170121i
$46$	1.17923	+	1.82683i	0.173868	+	0.269351i
$47$	−0.0158873	+	0.0275176i	−0.00231740	+	0.00401385i	−0.867182	−	0.497992i	$-0.834071\pi$
$47$	−0.0158873	+	0.0275176i	−0.00231740	+	0.00401385i	0.864864	+	0.502006i	$0.167404\pi$
$48$	7.59671	−	1.52766i	1.09649	−	0.220499i
$49$	−4.40944	−	5.43662i	−0.629920	−	0.776660i
$50$	0.294141	+	5.92394i	0.0415978	+	0.837772i
$51$	−4.85145	−	2.80099i	−0.679339	−	0.392217i
$52$	1.96684	−	1.41254i	0.272751	−	0.195884i
$53$	0.0965971	+	0.167311i	0.0132686	+	0.0229820i	0.872583	−	0.488465i	$-0.162443\pi$
$53$	0.0965971	+	0.167311i	0.0132686	+	0.0229820i	−0.859315	+	0.511447i	$0.829110\pi$
$54$	−5.47790	−	2.81012i	−0.745448	−	0.382409i
$55$	−3.03216			−0.408857
$56$	−7.15823	−	2.18169i	−0.956558	−	0.291541i
$57$	−13.8957			−1.84053
$58$	−11.7066	−	6.00541i	−1.53716	−	0.788549i
$59$	−0.813975	−	1.40985i	−0.105970	−	0.183546i	0.808164	−	0.588958i	$-0.200462\pi$
$59$	−0.813975	−	1.40985i	−0.105970	−	0.183546i	−0.914134	+	0.405412i	$0.867128\pi$
$60$	9.54197	−	6.85285i	1.23186	−	0.884699i
$61$	2.93745	+	1.69594i	0.376102	+	0.217143i	0.676121	−	0.736791i	$-0.263660\pi$
$61$	2.93745	+	1.69594i	0.376102	+	0.217143i	−0.300019	+	0.953933i	$0.596993\pi$
$62$	0.226882	+	4.56936i	0.0288140	+	0.580309i
$63$	−1.12866	−	1.64085i	−0.142197	−	0.206727i
$64$	−7.64817	+	2.34637i	−0.956022	+	0.293296i
$65$	1.83561	−	3.17936i	0.227679	−	0.394351i
$66$	1.48578	+	2.30172i	0.182887	+	0.283322i
$67$	6.71872	−	3.87905i	0.820822	−	0.473902i	−0.0298779	−	0.999554i	$-0.509512\pi$
$67$	6.71872	−	3.87905i	0.820822	−	0.473902i	0.850700	+	0.525652i	$0.176179\pi$
$68$	5.27056	+	2.38140i	0.639150	+	0.288787i
$69$		−	2.97846i		−	0.358565i
$70$	−11.2517	+	1.45429i	−1.34484	+	0.173821i
$71$			12.8729i			1.52773i	0.645377	+	0.763864i	$0.276700\pi$
$71$			12.8729i			1.52773i	−0.645377	+	0.763864i	$0.723300\pi$
$72$	−1.98128	−	0.779342i	−0.233496	−	0.0918463i
$73$	−13.1045	+	7.56586i	−1.53376	+	0.885517i	−0.534577	+	0.845120i	$0.679529\pi$
$73$	−13.1045	+	7.56586i	−1.53376	+	0.885517i	−0.999184	+	0.0403969i	$0.987138\pi$
$74$	−7.19588	+	4.64500i	−0.836504	+	0.539970i
$75$	4.06232	−	7.03615i	0.469077	−	0.812465i
$76$	14.2756	−	1.42115i	1.63752	−	0.163017i
$77$	−0.208600	−	2.63752i	−0.0237722	−	0.300573i
$78$	−3.31292	+	0.164496i	−0.375114	+	0.0186255i
$79$	−8.49120	−	4.90240i	−0.955335	−	0.551563i	−0.0606007	−	0.998162i	$-0.519302\pi$
$79$	−8.49120	−	4.90240i	−0.955335	−	0.551563i	−0.894734	+	0.446599i	$0.852635\pi$
$80$	−9.10200	+	8.01610i	−1.01763	+	0.896227i
$81$	5.34580	+	9.25919i	0.593977	+	1.02880i
$82$	6.01220	−	11.7199i	0.663936	−	1.29424i
$83$	1.01001			0.110863			0.0554315	−	0.998462i	$-0.482347\pi$
$83$	1.01001			0.110863			0.0554315	+	0.998462i	$0.482347\pi$
$84$	6.61737	+	7.82860i	0.722014	+	0.854170i
$85$	8.76840			0.951066
$86$	6.01332	−	11.7221i	0.648433	−	1.26402i
$87$	9.01137	+	15.6081i	0.966120	+	1.67337i
$88$	−1.76181	−	2.21270i	−0.187809	−	0.235875i
$89$	−3.85204	−	2.22398i	−0.408316	−	0.235741i	0.281750	−	0.959488i	$-0.409085\pi$
$89$	−3.85204	−	2.22398i	−0.408316	−	0.235741i	−0.690066	+	0.723747i	$0.742418\pi$
$90$	−3.22384	+	0.160073i	−0.339823	+	0.0168732i
$91$	2.89184	+	1.37797i	0.303147	+	0.144450i
$92$	0.304616	+	3.05990i	0.0317584	+	0.319016i
$93$	3.13342	−	5.42725i	0.324921	−	0.562779i
$94$	−0.0377536	+	0.0243702i	−0.00389399	+	0.00251360i
$95$	18.8360	−	10.8750i	1.93253	−	1.11575i
$96$	10.5451	+	2.98141i	1.07625	+	0.304289i
$97$		−	6.53865i		−	0.663899i	−0.943297	−	0.331950i	$-0.892294\pi$
$97$		−	6.53865i		−	0.663899i	0.943297	−	0.331950i	$-0.107706\pi$
$98$	−2.03908	−	9.68722i	−0.205978	−	0.978557i
$99$		−	0.752733i		−	0.0756525i
$100$	−3.45378	+	7.64399i	−0.345378	+	0.764399i
$101$	9.70849	−	5.60520i	0.966031	−	0.557738i	0.0680070	−	0.997685i	$-0.478336\pi$
$101$	9.70849	−	5.60520i	0.966031	−	0.557738i	0.898024	+	0.439947i	$0.145003\pi$
$102$	−4.29657	−	6.65611i	−0.425424	−	0.659053i
$103$	−7.04543	+	12.2030i	−0.694207	+	1.20240i	0.276240	+	0.961089i	$0.410912\pi$
$103$	−7.04543	+	12.2030i	−0.694207	+	1.20240i	−0.970447	+	0.241314i	$0.922422\pi$
$104$	3.38667	−	0.507815i	0.332091	−	0.0497954i
$105$	14.0295	+	6.68511i	1.36914	+	0.652400i
$106$	0.0135494	+	0.272882i	0.00131603	+	0.0265046i
$107$	11.7622	+	6.79089i	1.13709	+	0.656501i	0.945709	−	0.325015i	$-0.105369\pi$
$107$	11.7622	+	6.79089i	1.13709	+	0.656501i	0.191383	+	0.981515i	$0.438703\pi$
$108$	−5.07894	−	7.07197i	−0.488721	−	0.680500i
$109$	−4.07735	−	7.06218i	−0.390540	−	0.676434i	0.601981	−	0.798510i	$-0.294378\pi$
$109$	−4.07735	−	7.06218i	−0.390540	−	0.676434i	−0.992521	+	0.122076i	$0.961045\pi$
$110$	−3.81539	−	1.95726i	−0.363783	−	0.186617i
$111$	11.7322			1.11357
$112$	−7.59895	−	7.36586i	−0.718033	−	0.696009i
$113$	10.7208			1.00853			0.504265	−	0.863549i	$-0.331764\pi$
$113$	10.7208			1.00853			0.504265	+	0.863549i	$0.331764\pi$
$114$	−17.4850	−	8.96964i	−1.63762	−	0.840084i
$115$	2.33099	+	4.03740i	0.217366	+	0.376489i
$116$	−10.8540	−	15.1133i	−1.00777	−	1.40323i
$117$	0.789274	+	0.455688i	0.0729685	+	0.0421284i
$118$	−0.114173	−	2.29943i	−0.0105105	−	0.211680i
$119$	0.603230	+	7.62715i	0.0552980	+	0.699180i
$120$	16.4302	−	2.46363i	1.49987	−	0.224898i
$121$	0.500000	−	0.866025i	0.0454545	−	0.0787296i
$122$	2.60148	+	4.03013i	0.235527	+	0.364871i
$123$	−15.6258	+	9.02155i	−1.40893	+	0.813446i
$124$	−2.66403	+	5.89610i	−0.239237	+	0.529485i
$125$		−	2.44386i		−	0.218585i
$126$	−0.361026	−	2.79323i	−0.0321627	−	0.248841i
$127$			4.53478i			0.402397i	0.979551	+	0.201198i	$0.0644836\pi$
$127$			4.53478i			0.402397i	−0.979551	+	0.201198i	$0.935516\pi$
$128$	−11.1383	−	1.98445i	−0.984497	−	0.175402i
$129$	−15.6287	+	9.02323i	−1.37603	+	0.794451i
$130$	4.36203	−	2.81572i	0.382575	−	0.246955i
$131$	5.50659	−	9.53769i	0.481113	−	0.833312i	−0.518652	−	0.854985i	$-0.673566\pi$
$131$	5.50659	−	9.53769i	0.481113	−	0.833312i	0.999765	+	0.0216735i	$0.00689944\pi$
$132$	0.383803	+	3.85534i	0.0334058	+	0.335564i
$133$	10.7554	+	15.6363i	0.932610	+	1.35584i
$134$	10.9581	−	0.544102i	0.946637	−	0.0470032i
$135$	−11.4317	−	6.60011i	−0.983887	−	0.568047i
$136$	5.09478	+	6.39867i	0.436874	+	0.548681i
$137$	9.52910	+	16.5049i	0.814126	+	1.41011i	0.909954	+	0.414709i	$0.136117\pi$
$137$	9.52910	+	16.5049i	0.814126	+	1.41011i	−0.0958284	+	0.995398i	$0.530550\pi$
$138$	1.92260	−	3.74781i	0.163662	−	0.319035i
$139$	5.12323			0.434547			0.217274	−	0.976111i	$-0.430284\pi$
$139$	5.12323			0.434547			0.217274	+	0.976111i	$0.430284\pi$
$140$	−15.0968	−	5.43305i	−1.27592	−	0.459176i
$141$	0.0615535			0.00518374
$142$	−8.30943	+	16.1980i	−0.697312	+	1.35930i
$143$	0.605378	+	1.04855i	0.0506242	+	0.0876838i
$144$	−1.98999	−	2.25957i	−0.165833	−	0.188297i
$145$	−24.4304	−	14.1049i	−2.02883	−	1.17135i
$146$	−21.3732	+	1.06124i	−1.76885	+	0.0878286i
$147$	−4.84984	+	12.6634i	−0.400008	+	1.04446i
$148$	−12.0530	+	1.19988i	−0.990747	+	0.0986299i
$149$	7.25957	−	12.5740i	0.594727	−	1.03010i	−0.398858	−	0.917013i	$-0.630593\pi$
$149$	7.25957	−	12.5740i	0.594727	−	1.03010i	0.993585	−	0.113085i	$-0.0360734\pi$
$150$	9.65347	−	6.23139i	0.788203	−	0.508791i
$151$	−1.89507	+	1.09412i	−0.154218	+	0.0890381i	−0.575123	−	0.818067i	$-0.695046\pi$
$151$	−1.89507	+	1.09412i	−0.154218	+	0.0890381i	0.420905	+	0.907105i	$0.361713\pi$
$152$	18.8804	+	7.42664i	1.53140	+	0.602380i
$153$			2.17675i			0.175980i
$154$	1.44003	−	3.45345i	0.116041	−	0.278287i
$155$			9.80907i			0.787883i
$156$	−4.27484	−	1.93150i	−0.342261	−	0.154644i
$157$	−11.5015	+	6.64040i	−0.917920	+	0.529961i	−0.882971	−	0.469428i	$-0.844460\pi$
$157$	−11.5015	+	6.64040i	−0.917920	+	0.529961i	−0.0349492	+	0.999389i	$0.511127\pi$
$158$	−7.52002	−	11.6498i	−0.598261	−	0.926806i
$159$	0.187128	−	0.324115i	0.0148402	−	0.0257040i
$160$	−16.6275	+	4.21136i	−1.31452	+	0.332937i
$161$	−3.35155	+	2.30536i	−0.264139	+	0.181688i
$162$	0.749837	+	15.1016i	0.0589127	+	1.18649i
$163$	−1.69069	−	0.976119i	−0.132425	−	0.0764555i	0.432324	−	0.901718i	$-0.357694\pi$
$163$	−1.69069	−	0.976119i	−0.132425	−	0.0764555i	−0.564749	+	0.825263i	$0.691027\pi$
$164$	15.1304	−	10.8663i	1.18148	−	0.848516i
$165$	2.93695	+	5.08695i	0.228641	+	0.396018i
$166$	1.27090	+	0.651961i	0.0986410	+	0.0506020i
$167$	−7.16391			−0.554360			−0.277180	−	0.960818i	$-0.589400\pi$
$167$	−7.16391			−0.554360			−0.277180	+	0.960818i	$0.589400\pi$
$168$	3.27331	+	14.1223i	0.252541	+	1.08956i
$169$	11.5341			0.887236
$170$	11.0333	+	5.66000i	0.846216	+	0.434102i
$171$	2.69970	+	4.67603i	0.206452	+	0.357585i
$172$	15.1332	−	10.8683i	1.15389	−	0.828702i
$173$	13.2712	+	7.66210i	1.00899	+	0.582539i	0.910895	−	0.412638i	$-0.135393\pi$
$173$	13.2712	+	7.66210i	1.00899	+	0.582539i	0.0980921	+	0.995177i	$0.468726\pi$
$174$	1.26399	+	25.4566i	0.0958231	+	1.92986i
$175$	−11.0618	+	0.874875i	−0.836193	+	0.0661343i
$176$	−0.788593	−	3.92149i	−0.0594425	−	0.295594i
$177$	−1.57683	+	2.73115i	−0.118522	+	0.205286i
$178$	−3.41147	−	5.28493i	−0.255700	−	0.396123i
$179$	−5.86211	+	3.38449i	−0.438155	+	0.252969i	−0.702815	−	0.711373i	$-0.748074\pi$
$179$	−5.86211	+	3.38449i	−0.438155	+	0.252969i	0.264660	+	0.964342i	$0.414740\pi$
$180$	−4.15990	−	1.87957i	−0.310061	−	0.140095i
$181$		−	7.28989i		−	0.541853i	−0.962600	−	0.270927i	$-0.912670\pi$
$181$		−	7.28989i		−	0.541853i	0.962600	−	0.270927i	$-0.0873301\pi$
$182$	2.74933	+	3.60058i	0.203794	+	0.266893i
$183$		−	6.57073i		−	0.485723i
$184$	−1.59186	+	4.04691i	−0.117354	+	0.298342i
$185$	−15.9033	+	9.18180i	−1.16924	+	0.675059i
$186$	7.44608	−	4.80651i	0.545973	−	0.352430i
$187$	−1.44590	+	2.50437i	−0.105734	+	0.183137i
$188$	−0.0632365	+	0.00629526i	−0.00461200	+	0.000459129i
$189$	4.95462	−	10.3979i	0.360396	−	0.756336i
$190$	30.7212	−	1.52540i	2.22875	−	0.110664i
$191$	5.49130	+	3.17040i	0.397336	+	0.229402i	0.685334	−	0.728229i	$-0.259656\pi$
$191$	5.49130	+	3.17040i	0.397336	+	0.229402i	−0.287998	+	0.957631i	$0.592990\pi$
$192$	11.3444	+	10.5584i	0.818713	+	0.761984i
$193$	4.19927	+	7.27335i	0.302270	+	0.523547i	0.976650	−	0.214837i	$-0.0689222\pi$
$193$	4.19927	+	7.27335i	0.302270	+	0.523547i	−0.674380	+	0.738385i	$0.735589\pi$
$194$	4.22070	−	8.22761i	0.303028	−	0.590708i
$195$	−7.11186			−0.509291
$196$	3.68731	−	13.5057i	0.263379	−	0.964692i
$197$	2.51693			0.179324			0.0896620	−	0.995972i	$-0.471421\pi$
$197$	2.51693			0.179324			0.0896620	+	0.995972i	$0.471421\pi$
$198$	0.485889	−	0.947167i	0.0345306	−	0.0673122i
$199$	−4.32482	−	7.49080i	−0.306578	−	0.531009i	0.671033	−	0.741427i	$-0.265851\pi$
$199$	−4.32482	−	7.49080i	−0.306578	−	0.531009i	−0.977611	+	0.210418i	$0.932517\pi$
$200$	−9.28011	+	7.38906i	−0.656203	+	0.522485i
$201$	−13.0155	−	7.51449i	−0.918041	−	0.530031i
$202$	15.8344	−	0.786222i	1.11410	−	0.0553184i
$203$	10.5884	−	22.2210i	0.743157	−	1.55961i
$204$	−1.10988	−	11.1488i	−0.0777071	−	0.780575i
$205$	14.1208	−	24.4580i	0.986242	−	1.70822i
$206$	−16.7424	+	10.8073i	−1.16650	+	0.752982i
$207$	−1.00228	+	0.578667i	−0.0696634	+	0.0402202i
$208$	4.58926	+	1.54711i	0.318208	+	0.107273i
$209$			7.17308i			0.496172i
$210$	13.3382	+	17.4680i	0.920424	+	1.20540i
$211$			8.11611i			0.558736i	0.960184	+	0.279368i	$0.0901249\pi$
$211$			8.11611i			0.558736i	−0.960184	+	0.279368i	$0.909875\pi$
$212$	−0.159096	+	0.352115i	−0.0109267	+	0.0241833i
$213$	21.5963	−	12.4686i	1.47976	−	0.854337i
$214$	10.4169	+	16.1375i	0.712083	+	1.10314i
$215$	14.1235	−	24.4625i	0.963212	−	1.66833i
$216$	−1.82590	−	12.1771i	−0.124237	−	0.828550i
$217$	−8.53238	+	0.674824i	−0.579215	+	0.0458100i
$218$	−0.571916	−	11.5183i	−0.0387351	−	0.780118i
$219$	25.3859	+	14.6566i	1.71542	+	0.990399i
$220$	−3.53751	−	4.92566i	−0.238499	−	0.332088i
$221$	−1.75063	−	3.03218i	−0.117760	−	0.203966i
$222$	14.7627	+	7.57312i	0.990805	+	0.508274i
$223$	1.32883			0.0889850			0.0444925	−	0.999010i	$-0.485833\pi$
$223$	1.32883			0.0889850			0.0444925	+	0.999010i	$0.485833\pi$
$224$	−4.80713	−	14.1736i	−0.321190	−	0.947015i
$225$	−3.15698			−0.210465
$226$	13.4901	+	6.92028i	0.897345	+	0.460330i
$227$	4.94143	+	8.55881i	0.327974	+	0.568068i	0.982110	−	0.188309i	$-0.0603007\pi$
$227$	4.94143	+	8.55881i	0.327974	+	0.568068i	−0.654135	+	0.756377i	$0.726967\pi$
$228$	−16.2115	−	22.5731i	−1.07363	−	1.49494i
$229$	−12.2246	−	7.05790i	−0.807828	−	0.466399i	0.0383733	−	0.999263i	$-0.487782\pi$
$229$	−12.2246	−	7.05790i	−0.807828	−	0.466399i	−0.846201	+	0.532864i	$0.821116\pi$
$230$	0.326960	+	6.58493i	0.0215591	+	0.434197i
$231$	−4.22281	+	2.90465i	−0.277840	+	0.191112i
$232$	−3.90208	−	26.0234i	−0.256184	−	1.70852i
$233$	−11.5490	+	20.0034i	−0.756599	+	1.31047i	0.187977	+	0.982173i	$0.439807\pi$
$233$	−11.5490	+	20.0034i	−0.756599	+	1.31047i	−0.944576	+	0.328294i	$0.893526\pi$
$234$	0.699001	+	1.08287i	0.0456952	+	0.0707895i
$235$	−0.0834378	+	0.0481728i	−0.00544288	+	0.00314245i
$236$	1.34062	−	2.96709i	0.0872669	−	0.193141i
$237$			18.9938i			1.23378i
$238$	−4.16428	+	9.98666i	−0.269930	+	0.647339i
$239$		−	5.79987i		−	0.375163i	−0.982249	−	0.187581i	$-0.939935\pi$
$239$		−	5.79987i		−	0.375163i	0.982249	−	0.187581i	$-0.0600648\pi$
$240$	22.2645	+	7.50570i	1.43717	+	0.484491i
$241$	−23.3005	+	13.4525i	−1.50092	+	0.866554i	−0.500917	+	0.865495i	$0.667004\pi$
$241$	−23.3005	+	13.4525i	−1.50092	+	0.866554i	−0.999999	+	0.00105905i	$0.999663\pi$
$242$	1.18817	−	0.766974i	0.0763785	−	0.0493030i
$243$	3.82576	−	6.62641i	0.245423	−	0.425085i
$244$	0.672008	+	6.75039i	0.0430209	+	0.432149i
$245$	−3.33651	−	20.9613i	−0.213162	−	1.33917i
$246$	−25.4854	+	1.26542i	−1.62489	+	0.0806804i
$247$	−7.52129	−	4.34242i	−0.478569	−	0.276302i
$248$	−7.15809	+	5.69946i	−0.454539	+	0.361916i
$249$	−0.978295	−	1.69446i	−0.0619969	−	0.107382i
$250$	1.57751	−	3.07512i	0.0997705	−	0.194488i
$251$	24.5604			1.55024			0.775121	−	0.631813i	$-0.217689\pi$
$251$	24.5604			1.55024			0.775121	+	0.631813i	$0.217689\pi$
$252$	1.34875	−	3.74778i	0.0849633	−	0.236088i
$253$	−1.53751			−0.0966625
$254$	−2.92720	+	5.70614i	−0.183669	+	0.358035i
$255$	−8.49306	−	14.7104i	−0.531856	−	0.921201i
$256$	−12.7344	−	9.68681i	−0.795902	−	0.605426i
$257$	14.6194	+	8.44052i	0.911933	+	0.526505i	0.881053	−	0.473018i	$-0.156835\pi$
$257$	14.6194	+	8.44052i	0.911933	+	0.526505i	0.0308807	+	0.999523i	$0.490169\pi$
$258$	−25.4901	+	1.26566i	−1.58695	+	0.0787964i
$259$	−9.08083	−	13.2018i	−0.564255	−	0.820319i
$260$	7.30631	−	0.727351i	0.453118	−	0.0451084i
$261$	3.50153	−	6.06483i	0.216739	−	0.375403i
$262$	13.0855	−	8.44682i	0.808427	−	0.521846i
$263$	6.85759	−	3.95923i	0.422857	−	0.244137i	−0.273442	−	0.961889i	$-0.588162\pi$
$263$	6.85759	−	3.95923i	0.422857	−	0.244137i	0.696299	+	0.717752i	$0.254829\pi$
$264$	−2.00568	+	5.09893i	−0.123441	+	0.313818i
$265$			0.585797i			0.0359852i
$266$	3.44035	+	26.6178i	0.210942	+	1.63204i
$267$			8.61657i			0.527326i
$268$	14.1399	+	6.38881i	0.863730	+	0.390259i
$269$	−13.6178	+	7.86224i	−0.830292	+	0.479369i	−0.853953	−	0.520351i	$-0.825801\pi$
$269$	−13.6178	+	7.86224i	−0.830292	+	0.479369i	0.0236606	+	0.999720i	$0.492468\pi$
$270$	−10.1242	−	15.6841i	−0.616141	−	0.954506i
$271$	−14.6813	+	25.4287i	−0.891823	+	1.54468i	−0.0541356	+	0.998534i	$0.517240\pi$
$271$	−14.6813	+	25.4287i	−0.891823	+	1.54468i	−0.837688	+	0.546150i	$0.816093\pi$
$272$	2.28045	+	11.3402i	0.138273	+	0.687598i
$273$	−0.489267	−	6.18622i	−0.0296118	−	0.374407i
$274$	1.33661	+	26.9192i	0.0807478	+	1.62625i
$275$	−3.63213	−	2.09701i	−0.219026	−	0.126455i
$276$	4.83842	−	3.47485i	0.291239	−	0.209162i
$277$	11.6409	+	20.1627i	0.699435	+	1.21146i	0.968663	+	0.248380i	$0.0798982\pi$
$277$	11.6409	+	20.1627i	0.699435	+	1.21146i	−0.269228	+	0.963077i	$0.586768\pi$
$278$	6.44659	+	3.30705i	0.386641	+	0.198343i
$279$	−2.43510			−0.145785
$280$	−15.4894	−	16.5814i	−0.925668	−	0.990930i
$281$	−0.00517271			−0.000308578			−0.000154289	−	1.00000i	$-0.500049\pi$
$281$	−0.00517271			−0.000308578			−0.000154289		1.00000i	$0.500049\pi$
$282$	0.0774531	+	0.0397328i	0.00461227	+	0.00236605i
$283$	−3.19534	−	5.53450i	−0.189943	−	0.328992i	0.755288	−	0.655393i	$-0.227497\pi$
$283$	−3.19534	−	5.53450i	−0.189943	−	0.328992i	−0.945231	+	0.326402i	$0.894164\pi$
$284$	−20.9116	+	15.0183i	−1.24087	+	0.891170i
$285$	−36.4891	−	21.0670i	−2.16143	−	1.24790i
$286$	0.0849143	+	1.71016i	0.00502109	+	0.101124i
$287$	22.2461	+	10.6003i	1.31315	+	0.625718i
$288$	−1.04547	−	4.12776i	−0.0616047	−	0.243231i
$289$	−4.31876	+	7.48032i	−0.254045	+	0.440019i
$290$	−21.6362	−	33.5180i	−1.27052	−	1.96825i
$291$	−10.9696	+	6.33333i	−0.643052	+	0.371266i
$292$	−27.5790	−	12.4610i	−1.61394	−	0.729225i
$293$		−	22.3888i		−	1.30797i	−0.756507	−	0.653985i	$-0.773096\pi$
$293$		−	22.3888i		−	1.30797i	0.756507	−	0.653985i	$-0.226904\pi$
$294$	−14.2768	+	12.8039i	−0.832641	+	0.746739i
$295$		−	4.93621i		−	0.287397i
$296$	−15.9408	−	6.27035i	−0.926541	−	0.364457i
$297$	3.77015	−	2.17670i	0.218767	−	0.126305i
$298$	17.2512	−	11.1358i	0.999337	−	0.645080i
$299$	0.930775	−	1.61215i	0.0538281	−	0.0932330i
$300$	16.1694	−	1.60968i	0.933539	−	0.0929348i
$301$	22.2503	+	10.6023i	1.28248	+	0.611107i
$302$	−3.09083	+	0.153468i	−0.177857	+	0.00883110i
$303$	−18.8073	−	10.8584i	−1.08045	−	0.623797i
$304$	18.9634	+	21.5323i	1.08762	+	1.23496i
$305$	5.14236	+	8.90683i	0.294451	+	0.510004i
$306$	−1.40509	+	2.73901i	−0.0803237	+	0.156579i
$307$	−27.8438			−1.58913			−0.794564	−	0.607181i	$-0.792300\pi$
$307$	−27.8438			−1.58913			−0.794564	+	0.607181i	$0.792300\pi$
$308$	4.04120	−	3.41595i	0.230269	−	0.194642i
$309$	27.2968			1.55286
$310$	−6.33175	+	12.3428i	−0.359619	+	0.701024i
$311$	−11.0264	−	19.0983i	−0.625251	−	1.08297i	−0.988492	−	0.151272i	$-0.951663\pi$
$311$	−11.0264	−	19.0983i	−0.625251	−	1.08297i	0.363241	−	0.931695i	$-0.381670\pi$
$312$	−4.13227	−	5.18983i	−0.233944	−	0.293816i
$313$	9.23866	+	5.33394i	0.522200	+	0.301492i	0.737834	−	0.674982i	$-0.235849\pi$
$313$	9.23866	+	5.33394i	0.522200	+	0.301492i	−0.215634	+	0.976474i	$0.569182\pi$
$314$	−18.7588	+	0.931426i	−1.05862	+	0.0525634i
$315$	−0.476112	−	6.01989i	−0.0268259	−	0.339182i
$316$	−1.94255	−	19.5131i	−0.109277	−	1.09770i
$317$	8.93799	−	15.4811i	0.502008	−	0.869503i	−0.497990	−	0.867183i	$-0.665928\pi$
$317$	8.93799	−	15.4811i	0.502008	−	0.869503i	0.999997	−	0.00231992i	$-0.000738453\pi$
$318$	0.444680	−	0.287044i	0.0249364	−	0.0160966i
$319$	8.05708	−	4.65175i	0.451110	−	0.260448i
$320$	−23.6409	−	5.43386i	−1.32156	−	0.303762i
$321$		−	26.3106i		−	1.46851i
$322$	−5.70538	+	0.737421i	−0.317948	+	0.0410949i
$323$		−	20.7431i		−	1.15417i
$324$	−8.80455	+	19.4864i	−0.489141	+	1.08258i
$325$	4.39762	−	2.53897i	0.243936	−	0.140837i
$326$	−1.49732	−	2.31959i	−0.0829286	−	0.128470i
$327$	−7.89864	+	13.6808i	−0.436796	+	0.756552i
$328$	26.0528	−	3.90649i	1.43852	−	0.215700i
$329$	−0.0476431	−	0.0692639i	−0.00262665	−	0.00381864i
$330$	0.411956	+	8.29673i	0.0226774	+	0.456720i
$331$	−29.7644	−	17.1845i	−1.63600	−	0.944545i	−0.982191	−	0.187886i	$-0.939836\pi$
$331$	−29.7644	−	17.1845i	−1.63600	−	0.944545i	−0.653810	−	0.756659i	$-0.726830\pi$
$332$	1.17834	+	1.64073i	0.0646698	+	0.0900468i
$333$	−2.27937	−	3.94799i	−0.124909	−	0.216349i
$334$	−9.01438	−	4.62430i	−0.493245	−	0.253030i
$335$	23.5239			1.28525
$336$	−4.99710	+	19.8830i	−0.272614	+	1.08471i
$337$	1.99597			0.108727			0.0543636	−	0.998521i	$-0.482687\pi$
$337$	1.99597			0.108727			0.0543636	+	0.998521i	$0.482687\pi$
$338$	14.5134	+	7.44524i	0.789423	+	0.404967i
$339$	−10.3842	−	17.9859i	−0.563990	−	0.976860i
$340$	10.2297	+	14.2440i	0.554786	+	0.772489i
$341$	−2.80160	−	1.61750i	−0.151715	−	0.0875927i
$342$	0.378678	+	7.62652i	0.0204766	+	0.412395i
$343$	18.0035	−	4.34430i	0.972099	−	0.234570i
$344$	26.0576	−	3.90721i	1.40493	−	0.210663i
$345$	4.51559	−	7.82123i	0.243111	−	0.421081i
$346$	11.7533	+	18.2078i	0.631860	+	0.978856i
$347$	−21.1514	+	12.2118i	−1.13547	+	0.655561i	−0.945304	−	0.326191i	$-0.894235\pi$
$347$	−21.1514	+	12.2118i	−1.13547	+	0.655561i	−0.190162	+	0.981753i	$0.560901\pi$
$348$	−14.8418	+	32.8481i	−0.795602	+	1.76084i
$349$			1.83470i			0.0982092i	0.998794	+	0.0491046i	$0.0156368\pi$
$349$			1.83470i			0.0982092i	−0.998794	+	0.0491046i	$0.984363\pi$
$350$	−14.4838	−	6.03952i	−0.774194	−	0.322826i
$351$			5.27090i			0.281340i
$352$	1.53903	−	5.44347i	0.0820307	−	0.290138i
$353$	−3.34020	+	1.92847i	−0.177781	+	0.102642i	−0.586250	−	0.810130i	$-0.699396\pi$
$353$	−3.34020	+	1.92847i	−0.177781	+	0.102642i	0.408469	+	0.912772i	$0.366063\pi$
$354$	−3.74709	+	2.41877i	−0.199155	+	0.128556i
$355$	−19.5163	+	33.8033i	−1.03582	+	1.79409i
$356$	−0.881242	−	8.85216i	−0.0467057	−	0.469163i
$357$	12.2115	−	8.39966i	0.646301	−	0.444557i
$358$	−9.56101	+	0.474731i	−0.505315	+	0.0250903i
$359$	−15.8124	−	9.12929i	−0.834546	−	0.481825i	0.0208606	−	0.999782i	$-0.493359\pi$
$359$	−15.8124	−	9.12929i	−0.834546	−	0.481825i	−0.855407	+	0.517957i	$0.826693\pi$
$360$	−4.02116	−	5.05029i	−0.211934	−	0.266173i
$361$	−16.2265	−	28.1051i	−0.854027	−	1.47922i
$362$	4.70562	−	9.17291i	0.247322	−	0.482117i
$363$	−1.93720			−0.101676
$364$	1.13533	+	6.30532i	0.0595073	+	0.330489i
$365$	−45.8819			−2.40157
$366$	4.24141	−	8.26798i	0.221702	−	0.432174i
$367$	−1.60190	−	2.77457i	−0.0836185	−	0.144831i	0.821183	−	0.570665i	$-0.193314\pi$
$367$	−1.60190	−	2.77457i	−0.0836185	−	0.144831i	−0.904802	+	0.425833i	$0.859981\pi$
$368$	−4.61533	+	4.06470i	−0.240590	+	0.211887i
$369$	6.07168	+	3.50549i	0.316079	+	0.182488i
$370$	−25.9381	+	1.28790i	−1.34846	+	0.0669547i
$371$	−0.509553	+	0.0403004i	−0.0264547	+	0.00209229i
$372$	12.4720	−	1.24161i	0.646645	−	0.0643742i
$373$	−14.5880	+	25.2672i	−0.755341	+	1.30829i	0.189864	+	0.981810i	$0.439195\pi$
$373$	−14.5880	+	25.2672i	−0.755341	+	1.30829i	−0.945205	+	0.326478i	$0.894138\pi$
$374$	−3.43595	+	2.21793i	−0.177669	+	0.114686i
$375$	−4.09997	+	2.36712i	−0.211722	+	0.122237i
$376$	−0.0836344	−	0.0328978i	−0.00431311	−	0.00169657i
$377$			11.2643i			0.580140i
$378$	12.9463	−	9.88552i	0.665884	−	0.508456i
$379$			2.04691i			0.105143i	0.998617	+	0.0525714i	$0.0167417\pi$
$379$			2.04691i			0.105143i	−0.998617	+	0.0525714i	$0.983258\pi$
$380$	39.6413	+	17.9111i	2.03356	+	0.918821i
$381$	7.60783	−	4.39238i	0.389761	−	0.225029i
$382$	4.86323	+	7.53396i	0.248825	+	0.385471i
$383$	1.62742	−	2.81877i	0.0831572	−	0.144033i	−0.821447	−	0.570285i	$-0.806833\pi$
$383$	1.62742	−	2.81877i	0.0831572	−	0.144033i	0.904604	+	0.426252i	$0.140166\pi$
$384$	7.45932	+	20.6085i	0.380657	+	1.05167i
$385$	3.45092	−	7.24219i	0.175875	−	0.369096i
$386$	0.589018	+	11.8627i	0.0299802	+	0.603797i
$387$	6.07281	+	3.50614i	0.308698	+	0.178227i
$388$	10.6218	−	7.62839i	0.539242	−	0.387273i
$389$	17.9495	+	31.0894i	0.910075	+	1.57630i	0.813957	+	0.580926i	$0.197309\pi$
$389$	17.9495	+	31.0894i	0.910075	+	1.57630i	0.0961181	+	0.995370i	$0.469357\pi$
$390$	−8.94889	−	4.59070i	−0.453144	−	0.232459i
$391$	4.44616			0.224852
$392$	13.3577	−	14.6141i	0.674665	−	0.738124i
$393$	−21.3347			−1.07619
$394$	3.16707	+	1.62468i	0.159555	+	0.0818501i
$395$	−14.8649	−	25.7467i	−0.747933	−	1.29546i
$396$	1.22279	−	0.878184i	0.0614476	−	0.0441304i
$397$	14.9710	+	8.64352i	0.751374	+	0.433806i	0.826190	−	0.563391i	$-0.190504\pi$
$397$	14.9710	+	8.64352i	0.751374	+	0.433806i	−0.0748161	+	0.997197i	$0.523837\pi$
$398$	−0.606627	−	12.2174i	−0.0304075	−	0.612402i
$399$	15.8147	−	33.1892i	0.791726	−	1.66154i
$400$	−16.4468	+	3.30738i	−0.822342	+	0.165369i
$401$	−7.06579	+	12.2383i	−0.352848	+	0.611151i	−0.986747	−	0.162265i	$-0.948120\pi$
$401$	−7.06579	+	12.2383i	−0.352848	+	0.611151i	0.633899	+	0.773416i	$0.281454\pi$
$402$	−11.5268	−	17.8570i	−0.574906	−	0.890626i
$403$	3.39205	−	1.95840i	0.168970	−	0.0975549i
$404$	20.4320	+	9.23179i	1.01653	+	0.459298i
$405$			32.4187i			1.61090i
$406$	27.6670	−	21.1260i	1.37309	−	1.04847i
$407$		−	6.05627i		−	0.300198i
$408$	5.80001	−	14.7451i	0.287143	−	0.729990i
$409$	27.7231	−	16.0059i	1.37082	−	0.791442i	0.379786	−	0.925074i	$-0.375998\pi$
$409$	27.7231	−	16.0059i	1.37082	−	0.791442i	0.991031	+	0.133633i	$0.0426643\pi$
$410$	33.5559	−	21.6606i	1.65721	−	1.06974i
$411$	18.4597	−	31.9732i	0.910552	−	1.57712i
$412$	−28.0431	+	2.79172i	−1.38159	+	0.137538i
$413$	4.29374	−	0.339591i	0.211281	−	0.0167102i
$414$	−1.63470	+	0.0811677i	−0.0803413	+	0.00398917i
$415$	2.65222	+	1.53126i	0.130192	+	0.0751665i
$416$	4.77603	+	4.90910i	0.234164	+	0.240689i
$417$	−4.96236	−	8.59505i	−0.243008	−	0.420902i
$418$	−4.63022	+	9.02591i	−0.226471	+	0.441472i
$419$	29.4416			1.43832			0.719159	−	0.694845i	$-0.244527\pi$
$419$	29.4416			1.43832			0.719159	+	0.694845i	$0.244527\pi$
$420$	5.50796	+	30.5898i	0.268761	+	1.49263i
$421$	−9.79886			−0.477567			−0.238784	−	0.971073i	$-0.576749\pi$
$421$	−9.79886			−0.477567			−0.238784	+	0.971073i	$0.576749\pi$
$422$	−5.23895	+	10.2125i	−0.255028	+	0.497139i
$423$	−0.0119589	−	0.0207134i	−0.000581460	−	0.00100712i
$424$	−0.427481	+	0.340371i	−0.0207603	+	0.0165299i
$425$	10.5034	+	6.06412i	0.509488	+	0.294153i
$426$	35.2232	−	1.74893i	1.70657	−	0.0847361i
$427$	−7.39380	+	5.08582i	−0.357811	+	0.246120i
$428$	2.69086	+	27.0300i	0.130068	+	1.30654i
$429$	1.17274	−	2.03124i	0.0566202	−	0.0980691i
$430$	33.5622	−	21.6646i	1.61851	−	1.04476i
$431$	14.1926	−	8.19411i	0.683634	−	0.394696i	−0.117589	−	0.993062i	$-0.537516\pi$
$431$	14.1926	−	8.19411i	0.683634	−	0.394696i	0.801223	+	0.598366i	$0.204183\pi$
$432$	5.56280	−	16.5012i	0.267640	−	0.793913i
$433$		−	10.9264i		−	0.525090i	−0.964920	−	0.262545i	$-0.915438\pi$
$433$		−	10.9264i		−	0.525090i	0.964920	−	0.262545i	$-0.0845619\pi$
$434$	−11.1719	−	4.65851i	−0.536270	−	0.223616i
$435$			54.6479i			2.62017i
$436$	6.71542	−	14.8627i	0.321610	−	0.711795i
$437$	9.55112	−	5.51434i	0.456892	−	0.263787i
$438$	22.4824	+	34.8290i	1.07425	+	1.66419i
$439$	0.525692	−	0.910525i	0.0250899	−	0.0434570i	−0.853208	−	0.521571i	$-0.825346\pi$
$439$	0.525692	−	0.910525i	0.0250899	−	0.0434570i	0.878298	+	0.478114i	$0.158679\pi$
$440$	−1.27175	−	8.48144i	−0.0606283	−	0.404337i
$441$	5.20362	−	0.828287i	0.247791	−	0.0394423i
$442$	−0.245555	−	4.94543i	−0.0116798	−	0.235230i
$443$	20.2117	+	11.6692i	0.960285	+	0.554421i	0.896261	−	0.443527i	$-0.146273\pi$
$443$	20.2117	+	11.6692i	0.960285	+	0.554421i	0.0640244	+	0.997948i	$0.479606\pi$
$444$	13.6875	+	19.0586i	0.649579	+	0.904480i
$445$	−6.74347	−	11.6800i	−0.319671	−	0.553687i
$446$	1.67207	+	0.857759i	0.0791750	+	0.0406161i
$447$	−28.1265			−1.33034
$448$	3.10023	−	20.9377i	0.146472	−	0.989215i
$449$	−14.8300			−0.699873			−0.349937	−	0.936773i	$-0.613797\pi$
$449$	−14.8300			−0.699873			−0.349937	+	0.936773i	$0.613797\pi$
$450$	−3.97244	−	2.03783i	−0.187263	−	0.0960641i
$451$	4.65701	+	8.06618i	0.219290	+	0.379822i
$452$	12.5076	+	17.4156i	0.588306	+	0.819163i
$453$	3.67112	+	2.11952i	0.172484	+	0.0995838i
$454$	0.693118	+	13.9593i	0.0325296	+	0.655142i
$455$	5.50465	+	8.00271i	0.258062	+	0.375173i
$456$	−5.82812	−	38.8683i	−0.272927	−	1.82018i
$457$	−21.2467	+	36.8004i	−0.993880	+	1.72145i	−0.401277	+	0.915957i	$0.631434\pi$
$457$	−21.2467	+	36.8004i	−0.993880	+	1.72145i	−0.592603	+	0.805495i	$0.701900\pi$
$458$	−10.8265	−	16.7720i	−0.505887	−	0.783704i
$459$	−10.9025	+	6.29457i	−0.508886	+	0.293805i
$460$	−3.83915	+	8.49690i	−0.179001	+	0.396170i
$461$		−	18.6535i		−	0.868781i	−0.900725	−	0.434391i	$-0.856964\pi$
$461$		−	18.6535i		−	0.868781i	0.900725	−	0.434391i	$-0.143036\pi$
$462$	−7.18853	+	0.929119i	−0.334441	+	0.0432265i
$463$			2.38449i			0.110817i	0.998464	+	0.0554083i	$0.0176460\pi$
$463$			2.38449i			0.110817i	−0.998464	+	0.0554083i	$0.982354\pi$
$464$	11.8881	−	35.2641i	0.551890	−	1.63710i
$465$	16.4563	−	9.50105i	0.763143	−	0.440601i
$466$	−27.4443	+	17.7155i	−1.27133	+	0.820656i
$467$	−8.66684	+	15.0114i	−0.401053	+	0.694645i	−0.993853	−	0.110705i	$-0.964689\pi$
$467$	−8.66684	+	15.0114i	−0.401053	+	0.694645i	0.592800	+	0.805350i	$0.298022\pi$
$468$	0.180564	+	1.81379i	0.00834659	+	0.0838423i
$469$	1.61834	+	20.4621i	0.0747282	+	0.944853i
$470$	−0.136086	+	0.00675704i	−0.00627716	+	0.000311679i
$471$	22.2807	+	12.8638i	1.02664	+	0.592731i
$472$	3.60216	−	2.86813i	0.165803	−	0.132016i
$473$	4.65788	+	8.06768i	0.214170	+	0.370952i
$474$	−12.2605	+	23.9000i	−0.563144	+	1.09776i
$475$	30.0840			1.38035
$476$	−11.6863	+	9.87823i	−0.535641	+	0.452768i
$477$	−0.145424			−0.00665849
$478$	3.74382	−	7.29801i	0.171238	−	0.333803i
$479$	14.2764	+	24.7274i	0.652304	+	1.12982i	0.982562	+	0.185933i	$0.0595306\pi$
$479$	14.2764	+	24.7274i	0.652304	+	1.12982i	−0.330259	+	0.943890i	$0.607136\pi$
$480$	23.1706	+	23.8162i	1.05759	+	1.08705i
$481$	6.35027	+	3.66633i	0.289547	+	0.167170i
$482$	−38.0027	+	1.88694i	−1.73098	+	0.0859479i
$483$	7.11392	+	3.38980i	0.323695	+	0.154241i
$484$	1.99016	−	0.198123i	0.0904619	−	0.00900558i
$485$	9.91313	−	17.1700i	0.450132	−	0.779652i
$486$	9.09132	−	5.86852i	0.412391	−	0.266201i
$487$	4.39234	−	2.53592i	0.199036	−	0.114913i	−0.397170	−	0.917745i	$-0.630008\pi$
$487$	4.39234	−	2.53592i	0.199036	−	0.114913i	0.596206	+	0.802832i	$0.296674\pi$
$488$	−3.51178	+	8.92782i	−0.158971	+	0.404144i
$489$			3.78187i			0.171022i
$490$	9.33214	−	28.5294i	0.421583	−	1.28883i
$491$		−	1.22666i		−	0.0553584i	−0.999617	−	0.0276792i	$-0.991188\pi$
$491$		−	1.22666i		−	0.0553584i	0.999617	−	0.0276792i	$-0.00881169\pi$
$492$	−32.8852	−	14.8585i	−1.48258	−	0.669874i
$493$	−23.2994	+	13.4519i	−1.04935	+	0.605844i
$494$	−6.66105	−	10.3191i	−0.299695	−	0.464277i
$495$	1.14120	−	1.97662i	0.0512933	−	0.0888427i
$496$	−12.6861	+	2.55110i	−0.569621	+	0.114548i
$497$	−30.7463	−	14.6507i	−1.37916	−	0.657172i
$498$	−0.137222	−	2.76363i	−0.00614907	−	0.123841i
$499$	32.2699	+	18.6310i	1.44460	+	0.834039i	0.998152	−	0.0607709i	$-0.0193559\pi$
$499$	32.2699	+	18.6310i	1.44460	+	0.834039i	0.446447	+	0.894810i	$0.352689\pi$
$500$	3.96998	−	2.85115i	0.177543	−	0.127508i
$501$	6.93895	+	12.0186i	0.310009	+	0.536952i
$502$	30.9045	+	15.8538i	1.37934	+	0.707588i
$503$	−18.0021			−0.802674			−0.401337	−	0.915931i	$-0.631454\pi$
$503$	−18.0021			−0.802674			−0.401337	+	0.915931i	$0.631454\pi$
$504$	4.11633	−	3.84523i	0.183356	−	0.171280i
$505$	33.9918			1.51261
$506$	−1.93466	−	0.992462i	−0.0860060	−	0.0441203i
$507$	−11.1719	−	19.3503i	−0.496161	−	0.859376i
$508$	−7.36662	+	5.29055i	−0.326841	+	0.234730i
$509$	−5.00347	−	2.88875i	−0.221775	−	0.128042i	0.384997	−	0.922918i	$-0.374203\pi$
$509$	−5.00347	−	2.88875i	−0.221775	−	0.128042i	−0.606772	+	0.794876i	$0.707536\pi$
$510$	−1.19129	−	23.9924i	−0.0527513	−	1.06240i
$511$	−3.15648	−	39.9101i	−0.139635	−	1.76552i
$512$	−9.77095	−	20.4090i	−0.431819	−	0.901960i
$513$	−15.6136	+	27.0436i	−0.689359	+	1.19400i
$514$	12.9473	+	20.0576i	0.571082	+	0.884701i
$515$	−37.0017	+	21.3629i	−1.63049	+	0.941363i
$516$	−32.8913	−	14.8613i	−1.44796	−	0.654232i
$517$		−	0.0317745i		−	0.00139744i
$518$	−2.90471	−	22.4735i	−0.127626	−	0.987430i
$519$		−	29.6860i		−	1.30307i
$520$	9.66306	+	3.80099i	0.423753	+	0.166684i
$521$	−14.1393	+	8.16331i	−0.619453	+	0.357641i	−0.776656	−	0.629925i	$-0.783086\pi$
$521$	−14.1393	+	8.16331i	−0.619453	+	0.357641i	0.157203	+	0.987566i	$0.449752\pi$
$522$	8.32083	−	5.37116i	0.364193	−	0.235089i
$523$	−4.29244	+	7.43472i	−0.187695	+	0.325098i	−0.944481	−	0.328565i	$-0.893435\pi$
$523$	−4.29244	+	7.43472i	−0.187695	+	0.325098i	0.756786	+	0.653662i	$0.226768\pi$
$524$	21.9180	−	2.18196i	0.957493	−	0.0953194i
$525$	12.1822	+	17.7106i	0.531674	+	0.772952i
$526$	11.1846	−	0.555348i	0.487673	−	0.0242143i
$527$	8.10164	+	4.67749i	0.352913	+	0.203754i
$528$	−5.81511	+	5.12135i	−0.253070	+	0.222878i
$529$	−10.3180	−	17.8714i	−0.448610	−	0.777015i
$530$	−0.378132	+	0.737111i	−0.0164250	+	0.0320181i
$531$	1.22541			0.0531783
$532$	−12.8528	+	35.7140i	−0.557238	+	1.54840i
$533$	−11.2770			−0.488462
$534$	−5.56199	+	10.8423i	−0.240691	+	0.469191i
$535$	20.5911	+	35.6648i	0.890231	+	1.54193i
$536$	13.6683	+	17.1664i	0.590380	+	0.741473i
$537$	11.3561	+	6.55643i	0.490050	+	0.282931i
$538$	−22.2104	+	1.10281i	−0.957559	+	0.0475455i
$539$	6.53700	+	2.50353i	0.281568	+	0.107835i
$540$	−2.61527	−	26.2706i	−0.112543	−	1.13051i
$541$	6.74071	−	11.6752i	0.289806	−	0.501958i	−0.683958	−	0.729522i	$-0.739743\pi$
$541$	6.74071	−	11.6752i	0.289806	−	0.501958i	0.973763	+	0.227564i	$0.0730760\pi$
$542$	−34.8877	+	22.5203i	−1.49856	+	0.967329i
$543$	−12.2300	+	7.06098i	−0.524839	+	0.303016i
$544$	−4.45056	+	15.7414i	−0.190816	+	0.674907i
$545$		−	24.7264i		−	1.05916i
$546$	3.37756	−	8.09997i	0.144546	−	0.346647i
$547$		−	16.0797i		−	0.687517i	−0.939058	−	0.343759i	$-0.888300\pi$
$547$		−	16.0797i		−	0.687517i	0.939058	−	0.343759i	$-0.111700\pi$
$548$	−15.6945	+	34.7353i	−0.670434	+	1.48382i
$549$	−2.21112	+	1.27659i	−0.0943681	+	0.0544835i
$550$	−3.21671	−	4.98322i	−0.137161	−	0.212485i
$551$	−33.3674	+	57.7940i	−1.42150	+	2.46211i
$552$	8.33122	−	1.24923i	0.354600	−	0.0531706i
$553$	21.3730	−	14.7014i	0.908874	−	0.625168i
$554$	1.63283	+	32.8850i	0.0693724	+	1.39715i
$555$	30.8079	+	17.7869i	1.30772	+	0.755014i
$556$	5.97708	+	8.32254i	0.253484	+	0.352954i
$557$	−9.16076	−	15.8669i	−0.388154	−	0.672302i	0.604048	−	0.796948i	$-0.293554\pi$
$557$	−9.16076	−	15.8669i	−0.388154	−	0.672302i	−0.992201	+	0.124646i	$0.960220\pi$
$558$	−3.06409	−	1.57185i	−0.129713	−	0.0665418i
$559$	−11.2791			−0.477055
$560$	−8.78707	−	30.8629i	−0.371321	−	1.30420i
$561$	5.60198			0.236516
$562$	−0.00650885	−	0.00333898i	−0.000274559	−	0.000140847i
$563$	9.92026	+	17.1824i	0.418089	+	0.724152i	0.995747	−	0.0921272i	$-0.0293666\pi$
$563$	9.92026	+	17.1824i	0.418089	+	0.724152i	−0.577658	+	0.816279i	$0.696033\pi$
$564$	0.0718121	+	0.0999919i	0.00302384	+	0.00421042i
$565$	28.1521	+	16.2536i	1.18437	+	0.683796i
$566$	−0.448200	−	9.02668i	−0.0188393	−	0.379420i
$567$	−28.1992	+	2.23027i	−1.18426	+	0.0936626i
$568$	−36.0074	+	5.39914i	−1.51084	+	0.226543i
$569$	9.96780	−	17.2647i	0.417872	−	0.723775i	−0.577853	−	0.816141i	$-0.696109\pi$
$569$	9.96780	−	17.2647i	0.417872	−	0.723775i	0.995725	+	0.0923652i	$0.0294427\pi$
$570$	−32.3156	−	50.0623i	−1.35355	−	2.09688i
$571$	28.6734	−	16.5546i	1.19994	−	0.692788i	0.239402	−	0.970921i	$-0.423049\pi$
$571$	28.6734	−	16.5546i	1.19994	−	0.692788i	0.960543	+	0.278132i	$0.0897153\pi$
$572$	−0.997060	+	2.20671i	−0.0416892	+	0.0922674i
$573$		−	12.2834i		−	0.513146i
$574$	21.1499	+	27.6983i	0.882780	+	1.15611i
$575$			6.44835i			0.268915i
$576$	1.34895	−	5.86883i	0.0562064	−	0.244535i
$577$	9.06358	−	5.23286i	0.377322	−	0.217847i	−0.299331	−	0.954149i	$-0.596763\pi$
$577$	9.06358	−	5.23286i	0.377322	−	0.217847i	0.676652	+	0.736303i	$0.263430\pi$
$578$	−10.2629	+	6.62476i	−0.426879	+	0.275554i
$579$	8.13482	−	14.0899i	0.338071	−	0.585557i
$580$	−5.58900	−	56.1420i	−0.232071	−	2.33117i
$581$	−1.14950	+	2.41236i	−0.0476892	+	0.100082i
$582$	−17.8913	+	0.888354i	−0.741619	+	0.0368235i
$583$	−0.167311	−	0.0965971i	−0.00692932	−	0.00400065i
$584$	−26.6592	−	33.4819i	−1.10316	−	1.38549i
$585$	1.38172	+	2.39321i	0.0571271	+	0.0989471i
$586$	14.4520	−	28.1720i	0.597006	−	1.16377i
$587$	−24.0746			−0.993666			−0.496833	−	0.867846i	$-0.665504\pi$
$587$	−24.0746			−0.993666			−0.496833	+	0.867846i	$0.665504\pi$
$588$	−26.2295	+	6.89553i	−1.08169	+	0.284367i
$589$	23.2049			0.956143
$590$	3.18632	−	6.21126i	0.131179	−	0.255713i
$591$	−2.43790	−	4.22256i	−0.100282	−	0.173693i
$592$	−16.0109	−	18.1798i	−0.658043	−	0.747185i
$593$	15.6499	+	9.03548i	0.642665	+	0.371043i	0.785640	−	0.618683i	$-0.212334\pi$
$593$	15.6499	+	9.03548i	0.642665	+	0.371043i	−0.142975	+	0.989726i	$0.545667\pi$
$594$	6.14906	−	0.305318i	0.252299	−	0.0125274i
$595$	−9.97935	+	20.9429i	−0.409113	+	0.858576i
$596$	28.8955	−	2.87657i	1.18360	−	0.117829i
$597$	−8.37802	+	14.5112i	−0.342890	+	0.593902i
$598$	2.21184	−	1.42776i	0.0904489	−	0.0583855i
$599$	34.8453	−	20.1180i	1.42374	−	0.821997i	0.427125	−	0.904193i	$-0.359526\pi$
$599$	34.8453	−	20.1180i	1.42374	−	0.821997i	0.996616	+	0.0821953i	$0.0261931\pi$
$600$	21.3850	+	8.41185i	0.873040	+	0.343413i
$601$		−	33.6518i		−	1.37268i	−0.727279	−	0.686342i	$-0.759215\pi$
$601$		−	33.6518i		−	1.37268i	0.727279	−	0.686342i	$-0.240785\pi$
$602$	21.1538	+	27.7035i	0.862166	+	1.12911i
$603$			5.83978i			0.237814i
$604$	−3.98826	−	1.80202i	−0.162280	−	0.0733230i
$605$	2.62593	−	1.51608i	0.106759	−	0.0616375i
$606$	−16.6562	−	25.8032i	−0.676611	−	1.04818i
$607$	5.88299	−	10.1896i	0.238783	−	0.413584i	−0.721582	−	0.692329i	$-0.756585\pi$
$607$	5.88299	−	10.1896i	0.238783	−	0.413584i	0.960365	+	0.278744i	$0.0899182\pi$
$608$	9.96265	+	39.3350i	0.404039	+	1.59524i
$609$	−47.5352	+	3.75955i	−1.92622	+	0.152345i
$610$	0.721302	+	14.5269i	0.0292047	+	0.588177i
$611$	0.0333170	+	0.0192356i	0.00134786	+	0.000778189i
$612$	−3.53606	+	2.53953i	−0.142937	+	0.102654i
$613$	−12.2457	−	21.2101i	−0.494598	−	0.856669i	0.505383	−	0.862895i	$-0.331351\pi$
$613$	−12.2457	−	21.2101i	−0.494598	−	0.856669i	−0.999981	+	0.00622640i	$0.998018\pi$
$614$	−35.0359	−	17.9731i	−1.41394	−	0.725337i
$615$	−54.7097			−2.20611
$616$	7.29005	−	1.68971i	0.293725	−	0.0680805i
$617$	35.7466			1.43911			0.719553	−	0.694438i	$-0.244347\pi$
$617$	35.7466			1.43911			0.719553	+	0.694438i	$0.244347\pi$
$618$	34.3477	+	17.6201i	1.38167	+	0.708783i
$619$	1.77949	+	3.08217i	0.0715239	+	0.123883i	0.899569	−	0.436778i	$-0.143880\pi$
$619$	1.77949	+	3.08217i	0.0715239	+	0.123883i	−0.828045	+	0.560661i	$0.810547\pi$
$620$	−15.9345	+	11.4439i	−0.639946	+	0.459596i
$621$	−5.79665	−	3.34670i	−0.232612	−	0.134298i
$622$	−1.54664	−	31.1491i	−0.0620146	−	1.24896i
$623$	9.69590	−	6.66931i	0.388458	−	0.267200i
$624$	−1.84962	−	9.19776i	−0.0740442	−	0.368205i
$625$	14.1901	−	24.5781i	0.567606	−	0.983122i
$626$	8.18199	+	12.6753i	0.327018	+	0.506606i
$627$	12.0340	−	6.94783i	0.480591	−	0.277470i
$628$	−24.2055	−	10.9368i	−0.965904	−	0.436424i
$629$			17.5135i			0.698308i
$630$	3.28674	−	7.88219i	0.130947	−	0.314034i
$631$		−	12.9012i		−	0.513590i	−0.966466	−	0.256795i	$-0.917333\pi$
$631$		−	12.9012i		−	0.513590i	0.966466	−	0.256795i	$-0.0826666\pi$
$632$	10.1514	−	25.8074i	0.403801	−	1.02656i
$633$	13.6161	−	7.86125i	0.541191	−	0.312457i
$634$	21.2397	−	13.7104i	0.843538	−	0.544510i
$635$	−6.87510	+	11.9080i	−0.272830	+	0.472556i
$636$	0.744829	−	0.0741486i	0.0295344	−	0.00294018i
$637$	−6.58242	+	5.33875i	−0.260805	+	0.211529i
$638$	13.1410	−	0.652486i	0.520256	−	0.0258322i
$639$	−8.39164	−	4.84491i	−0.331968	−	0.191662i
$640$	−26.2399	−	22.0976i	−1.03722	−	0.873485i
$641$	12.1474	+	21.0400i	0.479794	+	0.831028i	0.999731	−	0.0231764i	$-0.00737795\pi$
$641$	12.1474	+	21.0400i	0.479794	+	0.831028i	−0.519937	+	0.854205i	$0.674045\pi$
$642$	16.9835	−	33.1068i	0.670285	−	1.30662i
$643$	−16.5783			−0.653783			−0.326891	−	0.945062i	$-0.606001\pi$
$643$	−16.5783			−0.653783			−0.326891	+	0.945062i	$0.606001\pi$
$644$	−7.65511	−	2.75492i	−0.301654	−	0.108559i
$645$	−54.7198			−2.15459
$646$	13.3896	−	26.1011i	0.526808	−	1.02693i
$647$	3.45823	+	5.98982i	0.135957	+	0.235484i	0.925963	−	0.377615i	$-0.123256\pi$
$647$	3.45823	+	5.98982i	0.135957	+	0.235484i	−0.790006	+	0.613099i	$0.789922\pi$
$648$	−23.6573	+	18.8365i	−0.929346	+	0.739968i
$649$	1.40985	+	0.813975i	0.0553413	+	0.0319513i
$650$	7.17245	−	0.356132i	0.281327	−	0.0139687i
$651$	9.39657	+	13.6608i	0.368281	+	0.535409i
$652$	−0.386783	−	3.88527i	−0.0151476	−	0.152159i
$653$	−2.07749	+	3.59833i	−0.0812986	+	0.140813i	−0.903808	−	0.427938i	$-0.859240\pi$
$653$	−2.07749	+	3.59833i	−0.0812986	+	0.140813i	0.822509	+	0.568752i	$0.192573\pi$
$654$	−18.7699	+	12.1161i	−0.733960	+	0.473777i
$655$	28.9198	−	16.6969i	1.12999	−	0.652401i
$656$	35.3040	+	11.9015i	1.37839	+	0.464676i
$657$		−	11.3901i		−	0.444372i
$658$	−0.0152397	−	0.117909i	−0.000594106	−	0.00459656i
$659$		−	36.7871i		−	1.43302i	−0.697576	−	0.716511i	$-0.745738\pi$
$659$		−	36.7871i		−	1.43302i	0.697576	−	0.716511i	$-0.254262\pi$
$660$	−4.83717	+	10.7057i	−0.188287	+	0.416720i
$661$	−24.4729	+	14.1294i	−0.951885	+	0.549571i	−0.893666	−	0.448733i	$-0.851875\pi$
$661$	−24.4729	+	14.1294i	−0.951885	+	0.549571i	−0.0582190	+	0.998304i	$0.518542\pi$
$662$	−26.3601	−	40.8362i	−1.02452	−	1.58715i
$663$	−3.39131	+	5.87393i	−0.131708	+	0.228124i
$664$	0.423618	+	2.82516i	0.0164396	+	0.109637i
$665$	4.53705	+	57.3658i	0.175939	+	2.22455i
$666$	−0.319720	−	6.43911i	−0.0123889	−	0.249511i
$667$	−12.3878	−	7.15212i	−0.479659	−	0.276931i
$668$	−8.35785	−	11.6376i	−0.323375	−	0.450270i
$669$	−1.28710	−	2.22933i	−0.0497623	−	0.0861908i
$670$	29.6002	+	15.1846i	1.14355	+	0.586634i
$671$	−3.39188			−0.130942
$672$	−19.1224	+	21.7933i	−0.737661	+	0.840694i
$673$	−5.76323			−0.222156			−0.111078	−	0.993812i	$-0.535430\pi$
$673$	−5.76323			−0.222156			−0.111078	+	0.993812i	$0.535430\pi$
$674$	2.51153	+	1.28839i	0.0967406	+	0.0496271i
$675$	−9.12913	−	15.8121i	−0.351380	−	0.608608i
$676$	13.4563	+	18.7368i	0.517552	+	0.720644i
$677$	−4.06025	−	2.34419i	−0.156048	−	0.0900945i	0.419943	−	0.907551i	$-0.362050\pi$
$677$	−4.06025	−	2.34419i	−0.156048	−	0.0900945i	−0.575991	+	0.817456i	$0.695384\pi$
$678$	−1.45655	−	29.3347i	−0.0559385	−	1.12659i
$679$	15.6173	+	7.44167i	0.599336	+	0.285585i
$680$	3.67764	+	24.5266i	0.141031	+	0.940551i
$681$	9.57253	−	16.5801i	0.366820	−	0.635351i
$682$	−2.48117	−	3.84374i	−0.0950087	−	0.147184i
$683$	−23.9085	+	13.8036i	−0.914835	+	0.528180i	−0.881984	−	0.471280i	$-0.843792\pi$
$683$	−23.9085	+	13.8036i	−0.914835	+	0.528180i	−0.0328513	+	0.999460i	$0.510459\pi$
$684$	−4.44642	+	9.84092i	−0.170013	+	0.376277i
$685$			57.7876i			2.20795i
$686$	25.4582	+	6.15482i	0.971997	+	0.234992i
$687$			27.3451i			1.04328i
$688$	35.3105	+	11.9037i	1.34620	+	0.453825i
$689$	0.202573	−	0.116956i	0.00771742	−	0.00445565i
$690$	10.7306	−	6.92668i	0.408507	−	0.263694i
$691$	24.4174	−	42.2922i	0.928883	−	1.60887i	0.143689	−	0.989623i	$-0.454103\pi$
$691$	24.4174	−	42.2922i	0.928883	−	1.60887i	0.785194	−	0.619250i	$-0.212563\pi$
$692$	3.03608	+	30.4977i	0.115414	+	1.15935i
$693$	1.79787	+	0.856688i	0.0682954	+	0.0325429i
$694$	−34.4976	+	1.71290i	−1.30951	+	0.0650209i
$695$	13.4533	+	7.76724i	0.510311	+	0.294628i
$696$	−39.8789	+	31.7526i	−1.51161	+	1.20358i
$697$	−13.4671	−	23.3257i	−0.510104	−	0.883526i
$698$	−1.18430	+	2.30861i	−0.0448263	+	0.0873822i
$699$	44.7453			1.69242
$700$	−14.3266	−	16.9489i	−0.541493	−	0.640607i
$701$	−45.1931			−1.70692			−0.853459	−	0.521159i	$-0.825500\pi$
$701$	−45.1931			−1.70692			−0.853459	+	0.521159i	$0.825500\pi$
$702$	−3.40237	+	6.63240i	−0.128414	+	0.250324i
$703$	21.7210	+	37.6219i	0.819224	+	1.41894i
$704$	5.45033	−	5.85610i	0.205417	−	0.220710i
$705$	0.161635	+	0.0933202i	0.00608754	+	0.00351464i
$706$	−5.44782	+	0.270500i	−0.205031	+	0.0101804i
$707$	2.33849	+	29.5676i	0.0879481	+	1.11200i
$708$	−6.27629	+	0.624812i	−0.235878	+	0.0234819i
$709$	17.4950	−	30.3023i	0.657039	−	1.13803i	−0.324339	−	0.945941i	$-0.605142\pi$
$709$	17.4950	−	30.3023i	0.657039	−	1.13803i	0.981378	−	0.192085i	$-0.0615249\pi$
$710$	−46.3775	+	29.9370i	−1.74052	+	1.12352i
$711$	6.39161	−	3.69020i	0.239704	−	0.138393i
$712$	4.60519	−	11.7076i	0.172587	−	0.438759i
$713$			4.97386i			0.186272i
$714$	20.7878	−	2.68682i	0.777962	−	0.100552i
$715$			3.67121i			0.137296i
$716$	−12.3371	−	5.57427i	−0.461059	−	0.208320i
$717$	−9.73023	+	5.61775i	−0.363382	+	0.209799i
$718$	−14.0039	−	21.6943i	−0.522619	−	0.809625i
$719$	−19.7111	+	34.1406i	−0.735100	+	1.27323i	0.219579	+	0.975595i	$0.429532\pi$
$719$	−19.7111	+	34.1406i	−0.735100	+	1.27323i	−0.954679	+	0.297637i	$0.903802\pi$
$720$	−1.79989	−	8.95046i	−0.0670781	−	0.333564i
$721$	−21.1280	−	30.7160i	−0.786848	−	1.14393i
$722$	−2.27604	−	45.8390i	−0.0847053	−	1.70595i
$723$	45.1376	+	26.0602i	1.67869	+	0.969190i
$724$	11.8422	−	8.50483i	0.440112	−	0.316080i
$725$	−19.5096	−	33.7916i	−0.724567	−	1.25499i
$726$	−2.43758	−	1.25046i	−0.0904672	−	0.0464089i
$727$	−13.3265			−0.494251			−0.247125	−	0.968984i	$-0.579486\pi$
$727$	−13.3265			−0.494251			−0.247125	+	0.968984i	$0.579486\pi$
$728$	−2.64149	+	8.66687i	−0.0979003	+	0.321215i
$729$	17.2523			0.638973
$730$	−57.7334	−	29.6167i	−2.13681	−	1.09616i
$731$	−13.4696	−	23.3301i	−0.498192	−	0.862894i
$732$	10.6740	−	7.66582i	0.394521	−	0.283337i
$733$	−27.2761	−	15.7478i	−1.00746	−	0.581660i	−0.0970164	−	0.995283i	$-0.530930\pi$
$733$	−27.2761	−	15.7478i	−1.00746	−	0.581660i	−0.910448	+	0.413623i	$0.864263\pi$
$734$	−0.224693	−	4.52528i	−0.00829357	−	0.167031i
$735$	−31.9342	+	25.9006i	−1.17791	+	0.955358i
$736$	−8.43125	+	2.13544i	−0.310780	+	0.0787134i
$737$	−3.87905	+	6.71872i	−0.142887	+	0.247487i
$738$	5.37723	+	8.33024i	0.197939	+	0.306640i
$739$	0.0327094	−	0.0188848i	0.00120324	−	0.000694688i	−0.499398	−	0.866373i	$-0.666446\pi$
$739$	0.0327094	−	0.0188848i	0.00120324	−	0.000694688i	0.500601	+	0.865678i	$0.333112\pi$
$740$	−33.4694	−	15.1225i	−1.23036	−	0.555912i
$741$			16.8243i			0.618054i
$742$	−0.667187	−	0.278206i	−0.0244932	−	0.0102133i
$743$		−	43.1535i		−	1.58315i	−0.611073	−	0.791574i	$-0.709262\pi$
$743$		−	43.1535i		−	1.58315i	0.611073	−	0.791574i	$-0.290738\pi$
$744$	16.4951	+	6.48838i	0.604739	+	0.237875i
$745$	38.1263	−	22.0122i	1.39684	−	0.806465i
$746$	−34.6662	+	22.3773i	−1.26922	+	0.819291i
$747$	−0.380134	+	0.658411i	−0.0139084	+	0.0240900i
$748$	−5.75514	+	0.572931i	−0.210429	+	0.0209484i
$749$	−29.6063	+	20.3647i	−1.08179	+	0.744109i
$750$	−6.68698	+	0.332028i	−0.244174	+	0.0121239i
$751$	17.5004	+	10.1039i	0.638600	+	0.368696i	0.784075	−	0.620666i	$-0.213138\pi$
$751$	17.5004	+	10.1039i	0.638600	+	0.368696i	−0.145475	+	0.989362i	$0.546471\pi$
$752$	−0.0840020	−	0.0953814i	−0.00306324	−	0.00347820i
$753$	−23.7892	−	41.2041i	−0.866927	−	1.50156i
$754$	−7.27109	+	14.1739i	−0.264797	+	0.516183i
$755$	−6.63509			−0.241476
$756$	22.6714	−	4.08219i	0.824552	−	0.148468i
$757$	41.3750			1.50380			0.751899	−	0.659278i	$-0.229138\pi$
$757$	41.3750			1.50380			0.751899	+	0.659278i	$0.229138\pi$
$758$	−1.32128	+	2.57564i	−0.0479910	+	0.0935513i
$759$	1.48923	+	2.57942i	0.0540556	+	0.0936271i
$760$	38.3192	+	48.1261i	1.38998	+	1.74572i
$761$	16.9535	+	9.78814i	0.614566	+	0.354820i	0.774750	−	0.632267i	$-0.217876\pi$
$761$	16.9535	+	9.78814i	0.614566	+	0.354820i	−0.160185	+	0.987087i	$0.551209\pi$
$762$	12.4083	−	0.616105i	0.449504	−	0.0223191i
$763$	21.5082	−	1.70107i	0.778648	−	0.0615830i
$764$	1.25626	+	12.6192i	0.0454498	+	0.456548i
$765$	−3.30013	+	5.71599i	−0.119316	+	0.206662i
$766$	3.86731	−	2.49638i	0.139731	−	0.0901977i
$767$	−1.70698	+	0.985524i	−0.0616354	+	0.0355852i
$768$	−3.91665	+	30.7467i	−0.141330	+	1.10948i
$769$			37.8267i			1.36406i	0.731322	+	0.682032i	$0.238904\pi$
$769$			37.8267i			1.36406i	−0.731322	+	0.682032i	$0.761096\pi$
$770$	9.01714	−	6.88531i	0.324955	−	0.248129i
$771$		−	32.7019i		−	1.17773i
$772$	−6.91622	+	15.3071i	−0.248920	+	0.550916i
$773$	32.3825	−	18.6960i	1.16472	−	0.672450i	0.212287	−	0.977207i	$-0.431909\pi$
$773$	32.3825	−	18.6960i	1.16472	−	0.672450i	0.952430	+	0.304757i	$0.0985754\pi$
$774$	5.37823	+	8.33179i	0.193317	+	0.299480i
$775$	−6.78384	+	11.7500i	−0.243683	+	0.422071i
$776$	18.2896	−	2.74244i	0.656559	−	0.0984479i
$777$	−13.3524	+	28.0218i	−0.479016	+	1.00528i
$778$	2.51771	+	50.7063i	0.0902644	+	1.81791i
$779$	−57.8593	−	33.4051i	−2.07303	−	1.19686i
$780$	−8.29713	−	11.5530i	−0.297085	−	0.413664i
$781$	−6.43643	−	11.1482i	−0.230314	−	0.398915i
$782$	5.59463	+	2.87000i	0.200064	+	0.102631i
$783$	40.5019			1.44742
$784$	26.2414	−	9.76663i	0.937194	−	0.348808i
$785$	−40.2696			−1.43728
$786$	−26.8455	−	13.7715i	−0.957549	−	0.491214i
$787$	−12.4098	−	21.4944i	−0.442361	−	0.766191i	0.555503	−	0.831514i	$-0.312526\pi$
$787$	−12.4098	−	21.4944i	−0.442361	−	0.766191i	−0.997864	+	0.0653228i	$0.979192\pi$
$788$	2.93641	+	4.08868i	0.104605	+	0.145653i
$789$	−13.2845	−	7.66981i	−0.472941	−	0.273053i
$790$	−2.08505	−	41.9925i	−0.0741826	−	1.49403i
$791$	−12.2014	+	25.6062i	−0.433832	+	0.910451i
$792$	2.10551	−	0.315711i	0.0748161	−	0.0112183i
$793$	2.05337	−	3.55654i	0.0729172	−	0.126296i
$794$	13.2587	+	20.5400i	0.470534	+	0.728936i
$795$	0.982769	−	0.567402i	0.0348552	−	0.0201237i
$796$	7.12299	−	15.7648i	0.252468	−	0.558767i
$797$			3.76524i			0.133372i	0.997774	+	0.0666859i	$0.0212425\pi$
$797$			3.76524i			0.133372i	−0.997774	+	0.0666859i	$0.978757\pi$
$798$	41.3233	−	31.5537i	1.46283	−	1.11699i
$799$			0.0918854i			0.00325067i
$800$	−22.8300	−	6.45473i	−0.807164	−	0.228209i
$801$	2.89956	−	1.67406i	0.102451	−	0.0591501i
$802$	−16.7907	+	10.8385i	−0.592901	+	0.382722i
$803$	7.56586	−	13.1045i	0.266993	−	0.462446i
$804$	−2.97758	−	29.9101i	−0.105011	−	1.05485i
$805$	−12.2961	+	0.972492i	−0.433379	+	0.0342758i
$806$	5.53238	−	0.274698i	0.194870	−	0.00967583i
$807$	26.3804	+	15.2307i	0.928633	+	0.536146i
$808$	19.7506	+	24.8052i	0.694822	+	0.872645i
$809$	15.7289	+	27.2433i	0.553000	+	0.957824i	0.998056	+	0.0623216i	$0.0198504\pi$
$809$	15.7289	+	27.2433i	0.553000	+	0.957824i	−0.445056	+	0.895503i	$0.646816\pi$
$810$	−20.9262	+	40.7926i	−0.735273	+	1.43330i
$811$	−33.5457			−1.17795			−0.588975	−	0.808152i	$-0.700468\pi$
$811$	−33.5457			−1.17795			−0.588975	+	0.808152i	$0.700468\pi$
$812$	48.4504	−	8.72391i	1.70028	−	0.306149i
$813$	56.8810			1.99490
$814$	3.90932	−	7.62063i	0.137021	−	0.267103i
$815$	−2.95975	−	5.12644i	−0.103676	−	0.179571i
$816$	16.8161	−	14.8099i	0.588682	−	0.518450i
$817$	−57.8701	−	33.4113i	−2.02462	−	1.16891i
$818$	45.2159	−	2.24510i	1.58094	−	0.0784979i
$819$	−1.98667	+	1.36653i	−0.0694198	+	0.0477503i
$820$	56.2055	−	5.59532i	1.96278	−	0.195397i
$821$	−10.2939	+	17.8296i	−0.359261	+	0.622259i	−0.987838	−	0.155489i	$-0.950305\pi$
$821$	−10.2939	+	17.8296i	−0.359261	+	0.622259i	0.628576	+	0.777748i	$0.283638\pi$
$822$	43.8667	−	28.3163i	1.53003	−	0.987644i
$823$	21.9623	−	12.6799i	0.765557	−	0.441995i	−0.0657301	−	0.997837i	$-0.520938\pi$
$823$	21.9623	−	12.6799i	0.765557	−	0.441995i	0.831288	+	0.555843i	$0.187604\pi$
$824$	−37.0888	−	14.5890i	−1.29205	−	0.508231i
$825$			8.12465i			0.282864i
$826$	5.62204	+	2.34430i	0.195616	+	0.0815686i
$827$			11.9688i			0.416195i	0.978108	+	0.208097i	$0.0667271\pi$
$827$			11.9688i			0.416195i	−0.978108	+	0.208097i	$0.933273\pi$
$828$	−2.10935	−	0.953067i	−0.0733050	−	0.0331214i
$829$	16.1068	−	9.29927i	0.559413	−	0.322977i	−0.193497	−	0.981101i	$-0.561983\pi$
$829$	16.1068	−	9.29927i	0.559413	−	0.322977i	0.752910	+	0.658124i	$0.228650\pi$
$830$	2.34887	+	3.63880i	0.0815305	+	0.126304i
$831$	22.5507	−	39.0590i	0.782277	−	1.35494i
$832$	2.84088	+	9.26007i	0.0984897	+	0.321035i
$833$	−18.9036	−	7.23971i	−0.654973	−	0.250841i
$834$	−0.696053	−	14.0184i	−0.0241023	−	0.485417i
$835$	−18.8119	−	10.8611i	−0.651014	−	0.375863i
$836$	−11.6524	+	8.36855i	−0.403008	+	0.289432i
$837$	−7.04164	−	12.1965i	−0.243395	−	0.421572i
$838$	37.0466	+	19.0046i	1.27975	+	0.656502i
$839$	11.3662			0.392403			0.196202	−	0.980564i	$-0.437139\pi$
$839$	11.3662			0.392403			0.196202	+	0.980564i	$0.437139\pi$
$840$	−12.8150	+	42.0467i	−0.442161	+	1.45075i
$841$	57.5553			1.98467
$842$	−12.3299	−	6.32516i	−0.424918	−	0.217979i
$843$	0.00501028	+	0.00867806i	0.000172563	+	0.000298888i
$844$	−13.1844	+	9.46875i	−0.453825	+	0.325928i
$845$	30.2877	+	17.4866i	1.04193	+	0.601557i
$846$	−0.00167743	−	0.0337832i	−5.76712e−5	−	0.00116149i
$847$	1.49941	+	2.17985i	0.0515204	+	0.0749007i
$848$	−0.757610	+	0.152352i	−0.0260164	+	0.00523178i
$849$	−6.19001	+	10.7214i	−0.212441	+	0.367958i
$850$	9.30205	+	14.4104i	0.319058	+	0.494274i
$851$	−8.06406	+	4.65579i	−0.276432	+	0.159598i
$852$	45.4505	+	20.5359i	1.55711	+	0.703548i
$853$		−	7.18205i		−	0.245909i	−0.992412	−	0.122954i	$-0.960763\pi$
$853$		−	7.18205i		−	0.245909i	0.992412	−	0.122954i	$-0.0392369\pi$
$854$	−12.5865	+	1.62681i	−0.430703	+	0.0556684i
$855$			16.3719i			0.559907i
$856$	−14.0619	+	35.7489i	−0.480626	+	1.22187i
$857$	10.8284	−	6.25178i	0.369891	−	0.213557i	−0.303520	−	0.952825i	$-0.598162\pi$
$857$	10.8284	−	6.25178i	0.369891	−	0.213557i	0.673411	+	0.739269i	$0.264829\pi$
$858$	2.78682	−	1.79892i	0.0951406	−	0.0614140i
$859$	11.5203	−	19.9537i	0.393066	−	0.680811i	−0.599786	−	0.800161i	$-0.704748\pi$
$859$	11.5203	−	19.9537i	0.393066	−	0.680811i	0.992852	+	0.119350i	$0.0380809\pi$
$860$	56.2159	−	5.59636i	1.91695	−	0.190834i
$861$	−3.76380	−	47.5890i	−0.128270	−	1.62183i
$862$	23.1479	−	1.14936i	0.788421	−	0.0391473i
$863$	−26.7862	−	15.4650i	−0.911814	−	0.526436i	−0.0307999	−	0.999526i	$-0.509805\pi$
$863$	−26.7862	−	15.4650i	−0.911814	−	0.526436i	−0.881014	+	0.473089i	$0.843139\pi$
$864$	17.6512	−	17.1727i	0.600506	−	0.584228i
$865$	23.2328	+	40.2403i	0.789937	+	1.36821i
$866$	7.05300	−	13.7488i	0.239671	−	0.467202i
$867$	16.7326			0.568269
$868$	−11.0506	−	13.0733i	−0.375082	−	0.443737i
$869$	9.80480			0.332605
$870$	−35.2752	+	68.7637i	−1.19594	+	2.33131i
$871$	−4.69659	−	8.13473i	−0.159138	−	0.275635i
$872$	18.0439	−	14.3670i	0.611044	−	0.486529i
$873$	4.26245	+	2.46093i	0.144262	+	0.0832898i
$874$	15.5777	−	0.773478i	0.526924	−	0.0261633i
$875$	5.83705	+	2.78137i	0.197328	+	0.0940274i
$876$	5.80760	+	58.3379i	0.196221	+	1.97105i
$877$	−6.25110	+	10.8272i	−0.211085	+	0.365610i	−0.952054	−	0.305929i	$-0.901033\pi$
$877$	−6.25110	+	10.8272i	−0.211085	+	0.365610i	0.740970	+	0.671539i	$0.234366\pi$
$878$	1.24922	−	0.806384i	0.0421593	−	0.0272141i
$879$	−37.5609	+	21.6858i	−1.26690	+	0.731444i
$880$	3.87452	−	11.4931i	0.130610	−	0.387434i
$881$			8.31333i			0.280083i	0.990146	+	0.140042i	$0.0447237\pi$
$881$			8.31333i			0.280083i	−0.990146	+	0.140042i	$0.955276\pi$
$882$	7.08240	+	2.31670i	0.238477	+	0.0780072i
$883$		−	29.6843i		−	0.998956i	−0.866327	−	0.499478i	$-0.833525\pi$
$883$		−	29.6843i		−	0.998956i	0.866327	−	0.499478i	$-0.166475\pi$
$884$	2.88329	−	6.38137i	0.0969756	−	0.214629i
$885$	−8.28129	+	4.78121i	−0.278373	+	0.160718i
$886$	17.9000	+	27.7300i	0.601361	+	0.931609i
$887$	10.4329	−	18.0703i	0.350303	−	0.606743i	−0.635999	−	0.771690i	$-0.719412\pi$
$887$	10.4329	−	18.0703i	0.350303	−	0.606743i	0.986302	+	0.164947i	$0.0527452\pi$
$888$	4.92071	+	32.8167i	0.165128	+	1.10126i
$889$	−10.8311	−	5.16106i	−0.363264	−	0.173096i
$890$	−0.945883	−	19.0499i	−0.0317061	−	0.638555i
$891$	−9.25919	−	5.34580i	−0.310195	−	0.179091i
$892$	1.55029	+	2.15864i	0.0519077	+	0.0722768i
$893$	0.113961	+	0.197386i	0.00381355	+	0.00660525i
$894$	−35.3916	−	18.1556i	−1.18367	−	0.607214i
$895$	−20.5247			−0.686064
$896$	17.4163	−	24.3448i	0.581839	−	0.813304i
$897$	−3.60619			−0.120407
$898$	−18.6607	−	9.57279i	−0.622716	−	0.319448i
$899$	−15.0485	−	26.0647i	−0.501894	−	0.869306i
$900$	−3.68312	−	5.12842i	−0.122771	−	0.170947i
$901$	0.483829	+	0.279339i	0.0161187	+	0.00930613i
$902$	0.653223	+	13.1558i	0.0217500	+	0.438041i
$903$	−3.76450	−	47.5978i	−0.125275	−	1.58396i
$904$	4.49652	+	29.9878i	0.149552	+	0.997379i
$905$	11.0521	−	19.1428i	0.367383	−	0.636327i
$906$	3.25124	+	5.03671i	0.108015	+	0.167334i
$907$	−38.3818	+	22.1597i	−1.27445	+	0.735802i	−0.975822	−	0.218568i	$-0.929861\pi$
$907$	−38.3818	+	22.1597i	−1.27445	+	0.735802i	−0.298625	+	0.954370i	$0.596528\pi$
$908$	−8.13856	+	18.0124i	−0.270087	+	0.597764i
$909$			8.43844i			0.279885i
$910$	1.76079	+	13.6231i	0.0583695	+	0.451601i
$911$			27.7739i			0.920192i	0.887869	+	0.460096i	$0.152185\pi$
$911$			27.7739i			0.920192i	−0.887869	+	0.460096i	$0.847815\pi$
$912$	17.7560	−	52.6703i	0.587958	−	1.74409i
$913$	−0.874695	+	0.505005i	−0.0289482	+	0.0167132i
$914$	−50.4895	+	32.5914i	−1.67004	+	1.07803i
$915$	9.96177	−	17.2543i	0.329326	−	0.570409i
$916$	−2.79666	−	28.0928i	−0.0924044	−	0.928211i
$917$	16.5133	+	24.0071i	0.545316	+	0.792785i
$918$	−17.7818	+	0.882918i	−0.586888	+	0.0291406i
$919$	−19.7627	−	11.4100i	−0.651911	−	0.376381i	0.137277	−	0.990533i	$-0.456165\pi$
$919$	−19.7627	−	11.4100i	−0.651911	−	0.376381i	−0.789188	+	0.614152i	$0.789498\pi$
$920$	−10.3156	+	8.21352i	−0.340094	+	0.270792i
$921$	26.9694	+	46.7124i	0.888673	+	1.53923i
$922$	12.0408	−	23.4718i	0.396544	−	0.773003i
$923$	15.5859			0.513016
$924$	−9.64511	−	3.47108i	−0.317301	−	0.114190i
$925$	−25.4001			−0.835150
$926$	−1.53919	+	3.00041i	−0.0505808	+	0.0985997i
$927$	−5.30333	−	9.18564i	−0.174184	−	0.301696i
$928$	37.7218	−	36.6993i	1.23828	−	1.20471i
$929$	−9.85306	−	5.68867i	−0.323268	−	0.186639i	0.329580	−	0.944128i	$-0.393093\pi$
$929$	−9.85306	−	5.68867i	−0.323268	−	0.186639i	−0.652848	+	0.757489i	$0.726426\pi$
$930$	26.8400	−	1.33268i	0.880117	−	0.0437003i
$931$	−49.5873	+	7.89306i	−1.62516	+	0.258685i
$932$	−45.9687	+	4.57623i	−1.50575	+	0.149899i
$933$	−21.3604	+	36.9972i	−0.699307	+	1.21124i
$934$	−20.5954	+	13.2945i	−0.673901	+	0.435008i
$935$	−7.59365	+	4.38420i	−0.248339	+	0.143379i
$936$	−0.943593	+	2.39885i	−0.0308423	+	0.0784088i
$937$			9.04406i			0.295456i	0.989028	+	0.147728i	$0.0471961\pi$
$937$			9.04406i			0.295456i	−0.989028	+	0.147728i	$0.952804\pi$
$938$	−11.1719	+	26.7922i	−0.364776	+	0.874797i
$939$		−	20.6658i		−	0.674403i
$940$	−0.175599	−	0.0793408i	−0.00572740	−	0.00258781i
$941$	20.5833	−	11.8838i	0.670998	−	0.387401i	−0.125457	−	0.992099i	$-0.540040\pi$
$941$	20.5833	−	11.8838i	0.670998	−	0.387401i	0.796455	+	0.604698i	$0.206706\pi$
$942$	19.7323	+	30.5687i	0.642914	+	0.995982i
$943$	7.16021	−	12.4018i	0.233168	−	0.403860i
$944$	6.38399	−	1.28379i	0.207781	−	0.0417838i
$945$	28.7746	−	19.7926i	0.936037	−	0.643852i
$946$	0.653345	+	13.1583i	0.0212421	+	0.427812i
$947$	−10.6966	−	6.17566i	−0.347592	−	0.200682i	0.316032	−	0.948748i	$-0.397649\pi$
$947$	−10.6966	−	6.17566i	−0.347592	−	0.200682i	−0.663624	+	0.748066i	$0.730982\pi$
$948$	−30.8549	+	22.1593i	−1.00212	+	0.719702i
$949$	9.16041	+	15.8663i	0.297359	+	0.515042i
$950$	37.8549	+	19.4192i	1.22817	+	0.630043i
$951$	−34.6293			−1.12293
$952$	−21.0813	+	4.88631i	−0.683250	+	0.158366i
$953$	16.0439			0.519713			0.259857	−	0.965647i	$-0.416325\pi$
$953$	16.0439			0.519713			0.259857	+	0.965647i	$0.416325\pi$
$954$	−0.182987	−	0.0938709i	−0.00592443	−	0.00303918i
$955$	9.61318	+	16.6505i	0.311075	+	0.538798i
$956$	9.42172	−	6.76649i	0.304720	−	0.218844i
$957$	−15.6081	−	9.01137i	−0.504540	−	0.291296i
$958$	2.00250	+	40.3300i	0.0646977	+	1.30300i
$959$	−50.2663	+	3.97555i	−1.62318	+	0.128377i
$960$	13.7823	+	44.9246i	0.444823	+	1.44994i
$961$	10.2674	−	17.7836i	0.331205	−	0.573665i
$962$	5.62396	+	8.71245i	0.181324	+	0.280901i
$963$	−8.85377	+	5.11173i	−0.285309	+	0.164723i
$964$	−49.0370	−	22.1564i	−1.57938	−	0.713609i
$965$			25.4658i			0.819772i
$966$	6.76337	+	8.85743i	0.217608	+	0.284983i
$967$			44.3866i			1.42738i	0.700463	+	0.713689i	$0.252977\pi$
$967$			44.3866i			1.42738i	−0.700463	+	0.713689i	$0.747023\pi$
$968$	2.63212	+	1.03535i	0.0845995	+	0.0332774i
$969$	−34.7998	+	20.0917i	−1.11793	+	0.645438i
$970$	23.5570	−	15.2062i	0.756370	−	0.488243i
$971$	8.69266	−	15.0561i	0.278961	−	0.483174i	−0.692166	−	0.721738i	$-0.743343\pi$
$971$	8.69266	−	15.0561i	0.278961	−	0.483174i	0.971127	+	0.238564i	$0.0766767\pi$
$972$	15.2278	−	1.51594i	0.488431	−	0.0486238i
$973$	−5.83077	+	12.2366i	−0.186926	+	0.392288i
$974$	7.16383	−	0.355705i	0.229544	−	0.0113975i
$975$	−8.51906	−	4.91848i	−0.272828	−	0.157517i
$976$	−10.1818	+	8.96707i	−0.325911	+	0.287029i
$977$	−21.9430	−	38.0064i	−0.702019	−	1.21593i	−0.967757	−	0.251888i	$-0.918949\pi$
$977$	−21.9430	−	38.0064i	−0.702019	−	1.21593i	0.265737	−	0.964045i	$-0.414385\pi$
$978$	−2.44119	+	4.75874i	−0.0780608	+	0.152168i
$979$	4.44796			0.142157
$980$	30.1584	−	29.8748i	0.963374	−	0.954314i
$981$	6.13831			0.195981
$982$	0.791808	−	1.54351i	0.0252676	−	0.0492554i
$983$	−11.8381	−	20.5042i	−0.377577	−	0.653982i	0.613132	−	0.789980i	$-0.289909\pi$
$983$	−11.8381	−	20.5042i	−0.377577	−	0.653982i	−0.990709	+	0.135998i	$0.956576\pi$
$984$	−31.7885	−	39.9240i	−1.01338	−	1.27273i
$985$	6.60929	+	3.81588i	0.210589	+	0.121584i
$986$	−38.0010	+	1.88685i	−1.21020	+	0.0600897i
$987$	−0.0700544	+	0.147018i	−0.00222985	+	0.00467963i
$988$	−1.72067	−	17.2843i	−0.0547417	−	0.549885i
$989$	7.16154	−	12.4041i	0.227724	−	0.394429i
$990$	2.71189	−	1.75055i	0.0861896	−	0.0556361i
$991$	−2.28215	+	1.31760i	−0.0724950	+	0.0418550i	−0.535809	−	0.844339i	$-0.679993\pi$
$991$	−2.28215	+	1.31760i	−0.0724950	+	0.0418550i	0.463314	+	0.886194i	$0.346660\pi$
$992$	−17.6097	−	4.97878i	−0.559107	−	0.158076i
$993$			66.5795i			2.11284i
$994$	−29.2312	−	38.2817i	−0.927156	−	1.21422i
$995$		−	26.2271i		−	0.831455i
$996$	1.61125	−	3.56607i	0.0510546	−	0.112995i
$997$	49.7834	−	28.7424i	1.57665	−	0.910282i	0.581333	−	0.813666i	$-0.302531\pi$
$997$	49.7834	−	28.7424i	1.57665	−	0.910282i	0.995322	−	0.0966165i	$-0.0308020\pi$
$998$	28.5790	+	44.2737i	0.904653	+	1.40146i
$999$	13.1827	−	22.8331i	0.417081	−	0.722406i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	308.2.l.a.243.35	yes	80
4.3	odd	2	inner	308.2.l.a.243.7	yes	80
7.3	odd	6	inner	308.2.l.a.199.7	✓	80
28.3	even	6	inner	308.2.l.a.199.35	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
308.2.l.a.199.7	✓	80	7.3	odd	6	inner
308.2.l.a.199.35	yes	80	28.3	even	6	inner
308.2.l.a.243.7	yes	80	4.3	odd	2	inner
308.2.l.a.243.35	yes	80	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 308 = 2^{2} \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	308.l (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.25830 + 0.645500i) q^{2} +(-0.968599 - 1.67766i) q^{3} +(1.16666 + 1.62447i) q^{4} +(2.62593 + 1.51608i) q^{5} +(-0.135862 - 2.73624i) q^{6} +(-1.13810 + 2.38846i) q^{7} +(0.419420 + 2.79716i) q^{8} +(-0.376366 + 0.651886i) q^{9} +O(q^{10})\)	\(q+(1.25830 + 0.645500i) q^{2} +(-0.968599 - 1.67766i) q^{3} +(1.16666 + 1.62447i) q^{4} +(2.62593 + 1.51608i) q^{5} +(-0.135862 - 2.73624i) q^{6} +(-1.13810 + 2.38846i) q^{7} +(0.419420 + 2.79716i) q^{8} +(-0.376366 + 0.651886i) q^{9} +(2.32559 + 3.60273i) q^{10} +(-0.866025 + 0.500000i) q^{11} +(1.59529 - 3.53072i) q^{12} -1.21076i q^{13} +(-2.97383 + 2.27076i) q^{14} -5.87390i q^{15} +(-1.27781 + 3.79041i) q^{16} +(2.50437 - 1.44590i) q^{17} +(-0.894376 + 0.577326i) q^{18} +(3.58654 - 6.21207i) q^{19} +(0.600741 + 6.03450i) q^{20} +(5.10939 - 0.404100i) q^{21} +(-1.41247 + 0.0701333i) q^{22} +(1.33152 + 0.768755i) q^{23} +(4.28643 - 3.41297i) q^{24} +(2.09701 + 3.63213i) q^{25} +(0.781542 - 1.52350i) q^{26} -4.35340 q^{27} +(-5.20776 + 0.937701i) q^{28} -9.30351 q^{29} +(3.79160 - 7.39116i) q^{30} +(1.61750 + 2.80160i) q^{31} +(-4.05458 + 3.94467i) q^{32} +(1.67766 + 0.968599i) q^{33} +(4.08458 - 0.202811i) q^{34} +(-6.60968 + 4.54646i) q^{35} +(-1.49806 + 0.149134i) q^{36} +(-3.02813 + 5.24488i) q^{37} +(8.52284 - 5.50156i) q^{38} +(-2.03124 + 1.17274i) q^{39} +(-3.13935 + 7.98102i) q^{40} -9.31403i q^{41} +(6.69001 + 2.78963i) q^{42} -9.31576i q^{43} +(-1.82259 - 0.823502i) q^{44} +(-1.97662 + 1.14120i) q^{45} +(1.17923 + 1.82683i) q^{46} +(-0.0158873 + 0.0275176i) q^{47} +(7.59671 - 1.52766i) q^{48} +(-4.40944 - 5.43662i) q^{49} +(0.294141 + 5.92394i) q^{50} +(-4.85145 - 2.80099i) q^{51} +(1.96684 - 1.41254i) q^{52} +(0.0965971 + 0.167311i) q^{53} +(-5.47790 - 2.81012i) q^{54} -3.03216 q^{55} +(-7.15823 - 2.18169i) q^{56} -13.8957 q^{57} +(-11.7066 - 6.00541i) q^{58} +(-0.813975 - 1.40985i) q^{59} +(9.54197 - 6.85285i) q^{60} +(2.93745 + 1.69594i) q^{61} +(0.226882 + 4.56936i) q^{62} +(-1.12866 - 1.64085i) q^{63} +(-7.64817 + 2.34637i) q^{64} +(1.83561 - 3.17936i) q^{65} +(1.48578 + 2.30172i) q^{66} +(6.71872 - 3.87905i) q^{67} +(5.27056 + 2.38140i) q^{68} -2.97846i q^{69} +(-11.2517 + 1.45429i) q^{70} +12.8729i q^{71} +(-1.98128 - 0.779342i) q^{72} +(-13.1045 + 7.56586i) q^{73} +(-7.19588 + 4.64500i) q^{74} +(4.06232 - 7.03615i) q^{75} +(14.2756 - 1.42115i) q^{76} +(-0.208600 - 2.63752i) q^{77} +(-3.31292 + 0.164496i) q^{78} +(-8.49120 - 4.90240i) q^{79} +(-9.10200 + 8.01610i) q^{80} +(5.34580 + 9.25919i) q^{81} +(6.01220 - 11.7199i) q^{82} +1.01001 q^{83} +(6.61737 + 7.82860i) q^{84} +8.76840 q^{85} +(6.01332 - 11.7221i) q^{86} +(9.01137 + 15.6081i) q^{87} +(-1.76181 - 2.21270i) q^{88} +(-3.85204 - 2.22398i) q^{89} +(-3.22384 + 0.160073i) q^{90} +(2.89184 + 1.37797i) q^{91} +(0.304616 + 3.05990i) q^{92} +(3.13342 - 5.42725i) q^{93} +(-0.0377536 + 0.0243702i) q^{94} +(18.8360 - 10.8750i) q^{95} +(10.5451 + 2.98141i) q^{96} -6.53865i q^{97} +(-2.03908 - 9.68722i) q^{98} -0.752733i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 12 q^{8} - 40 q^{9}+O(q^{10}) \) 80 * q + 12 * q^8 - 40 * q^9	\( 80 q + 12 q^{8} - 40 q^{9} - 18 q^{10} - 30 q^{12} - 4 q^{14} - 4 q^{16} - 10 q^{18} - 8 q^{21} + 40 q^{25} + 30 q^{26} + 16 q^{28} - 16 q^{29} + 36 q^{30} - 20 q^{32} - 20 q^{36} - 8 q^{37} - 12 q^{38} - 60 q^{40} + 4 q^{44} + 24 q^{45} - 10 q^{46} - 24 q^{49} - 64 q^{50} + 54 q^{52} - 30 q^{54} + 38 q^{56} + 80 q^{57} + 10 q^{58} - 12 q^{60} - 36 q^{64} - 16 q^{65} + 30 q^{66} + 60 q^{68} - 22 q^{70} - 38 q^{72} - 72 q^{73} + 28 q^{74} - 24 q^{78} + 42 q^{80} - 64 q^{81} - 90 q^{82} + 88 q^{84} - 2 q^{86} + 12 q^{88} - 120 q^{89} + 36 q^{92} + 8 q^{93} - 54 q^{94} - 42 q^{96} + 78 q^{98}+O(q^{100}) \) 80 * q + 12 * q^8 - 40 * q^9 - 18 * q^10 - 30 * q^12 - 4 * q^14 - 4 * q^16 - 10 * q^18 - 8 * q^21 + 40 * q^25 + 30 * q^26 + 16 * q^28 - 16 * q^29 + 36 * q^30 - 20 * q^32 - 20 * q^36 - 8 * q^37 - 12 * q^38 - 60 * q^40 + 4 * q^44 + 24 * q^45 - 10 * q^46 - 24 * q^49 - 64 * q^50 + 54 * q^52 - 30 * q^54 + 38 * q^56 + 80 * q^57 + 10 * q^58 - 12 * q^60 - 36 * q^64 - 16 * q^65 + 30 * q^66 + 60 * q^68 - 22 * q^70 - 38 * q^72 - 72 * q^73 + 28 * q^74 - 24 * q^78 + 42 * q^80 - 64 * q^81 - 90 * q^82 + 88 * q^84 - 2 * q^86 + 12 * q^88 - 120 * q^89 + 36 * q^92 + 8 * q^93 - 54 * q^94 - 42 * q^96 + 78 * q^98

Introduction

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