LMFDB - Embedded newform 366.2.o.a.101.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [366,2,Mod(29,366)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(366, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 7]))

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

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

chi := DirichletCharacter("366.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 366 = 2 \cdot 3 \cdot 61 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	366.o (of order $12$, degree $4$, 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:	$2.92252471398$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$20$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			101.10
Character	$\chi$	$=$	366.101
Dual form			366.2.o.a.29.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.965926 + 0.258819i) q^{2} +(1.72783 - 0.120861i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.01682 - 1.76119i) q^{5} +(-1.63767 + 0.563937i) q^{6} +(-0.746435 - 2.78573i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.97079 - 0.417653i) q^{9} +(-0.526346 + 1.96435i) q^{10} +(-2.79777 + 2.79777i) q^{11} +(1.43591 - 0.968583i) q^{12} +(3.45166 - 5.97845i) q^{13} +(1.44200 + 2.49762i) q^{14} +(1.54404 - 3.16593i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-5.55656 - 1.48888i) q^{17} +(-2.76146 + 1.17232i) q^{18} +(-3.21756 + 1.85766i) q^{19} -2.03365i q^{20} +(-1.62640 - 4.72306i) q^{21} +(1.97832 - 3.42655i) q^{22} +(3.37242 + 3.37242i) q^{23} +(-1.13630 + 1.30722i) q^{24} +(0.432144 + 0.748495i) q^{25} +(-1.78671 + 6.66810i) q^{26} +(5.08253 - 1.08068i) q^{27} +(-2.03930 - 2.03930i) q^{28} +(3.70127 + 0.991753i) q^{29} +(-0.672023 + 3.45768i) q^{30} +(-1.19910 + 4.47509i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-4.49592 + 5.17220i) q^{33} +5.75257 q^{34} +(-5.66520 - 1.51798i) q^{35} +(2.36395 - 1.84709i) q^{36} +(-0.887889 - 0.887889i) q^{37} +(2.62712 - 2.62712i) q^{38} +(5.24132 - 10.7469i) q^{39} +(0.526346 + 1.96435i) q^{40} +1.68444 q^{41} +(2.79340 + 4.14118i) q^{42} +(11.7228 - 3.14111i) q^{43} +(-1.02405 + 3.82182i) q^{44} +(2.28520 - 5.65679i) q^{45} +(-4.13036 - 2.38466i) q^{46} +(3.94053 - 2.27507i) q^{47} +(0.759246 - 1.55677i) q^{48} +(-1.14097 + 0.658742i) q^{49} +(-0.611144 - 0.611144i) q^{50} +(-9.78073 - 1.90095i) q^{51} -6.90332i q^{52} +(-0.0628529 - 0.0628529i) q^{53} +(-4.62965 + 2.35932i) q^{54} +(2.08256 + 7.77222i) q^{55} +(2.49762 + 1.44200i) q^{56} +(-5.33487 + 3.59859i) q^{57} -3.83184 q^{58} +(2.69099 + 10.0429i) q^{59} +(-0.245787 - 3.51379i) q^{60} +(-1.93896 + 7.56574i) q^{61} -4.63295i q^{62} +(-3.38097 - 7.96407i) q^{63} -1.00000i q^{64} +(-7.01945 - 12.1580i) q^{65} +(3.00406 - 6.15959i) q^{66} +(-5.42595 + 1.45388i) q^{67} +(-5.55656 + 1.48888i) q^{68} +(6.23457 + 5.41938i) q^{69} +5.86504 q^{70} +(-4.15839 - 1.11424i) q^{71} +(-1.80534 + 2.39599i) q^{72} +(6.30205 + 10.9155i) q^{73} +(1.08744 + 0.627832i) q^{74} +(0.837134 + 1.24104i) q^{75} +(-1.85766 + 3.21756i) q^{76} +(9.88218 + 5.70548i) q^{77} +(-2.28122 + 11.7373i) q^{78} +(-0.0557167 - 0.207937i) q^{79} +(-1.01682 - 1.76119i) q^{80} +(8.65113 - 2.48151i) q^{81} +(-1.62705 + 0.435966i) q^{82} +(-5.72748 - 3.30676i) q^{83} +(-3.77003 - 3.27709i) q^{84} +(-8.27222 + 8.27222i) q^{85} +(-10.5104 + 6.06815i) q^{86} +(6.51503 + 1.26624i) q^{87} -3.95664i q^{88} +(8.47248 - 8.47248i) q^{89} +(-0.743245 + 6.05549i) q^{90} +(-19.2308 - 5.15288i) q^{91} +(4.60682 + 1.23439i) q^{92} +(-1.53097 + 7.87711i) q^{93} +(-3.21743 + 3.21743i) q^{94} +7.55563i q^{95} +(-0.330453 + 1.70024i) q^{96} +(-11.8541 + 6.84396i) q^{97} +(0.931602 - 0.931602i) q^{98} +(-7.14307 + 9.48006i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 8 q^{6} + 16 q^{7} + 16 q^{10} - 16 q^{15} + 40 q^{16} - 8 q^{18} + 4 q^{21} - 4 q^{24} - 32 q^{25} - 8 q^{28} + 12 q^{30} + 44 q^{33} + 12 q^{36} - 36 q^{39} - 16 q^{40} - 24 q^{43} + 60 q^{45}+ \cdots + 52 q^{99}+O(q^{100}) $ 80 * q - 8 * q^6 + 16 * q^7 + 16 * q^10 - 16 * q^15 + 40 * q^16 - 8 * q^18 + 4 * q^21 - 4 * q^24 - 32 * q^25 - 8 * q^28 + 12 * q^30 + 44 * q^33 + 12 * q^36 - 36 * q^39 - 16 * q^40 - 24 * q^43 + 60 * q^45 + 48 * q^46 - 144 * q^49 - 32 * q^51 - 4 * q^54 + 32 * q^55 + 56 * q^57 - 48 * q^58 - 48 * q^61 - 8 * q^63 - 48 * q^66 - 64 * q^67 - 32 * q^69 - 96 * q^70 - 8 * q^72 + 32 * q^73 + 8 * q^76 + 32 * q^78 + 16 * q^79 + 40 * q^81 + 64 * q^82 + 32 * q^84 - 80 * q^85 - 8 * q^87 - 56 * q^90 + 96 * q^91 - 100 * q^93 - 48 * q^94 - 4 * q^96 - 144 * q^97 + 52 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/366\mathbb{Z}\right)^\times$.

$n$	$245$	$307$
$\chi(n)$	$-1$	$e\left(\frac{5}{12}\right)$

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 $

$2$	−0.965926	+	0.258819i	−0.683013	+	0.183013i
$2$	−0.965926	+	0.258819i	−0.683013	+	0.183013i
$3$	1.72783	−	0.120861i	0.997562	−	0.0697789i
$3$	1.72783	−	0.120861i	0.997562	−	0.0697789i
$4$	0.866025	−	0.500000i	0.433013	−	0.250000i
$5$	1.01682	−	1.76119i	0.454737	−	0.787627i	−0.543936	−	0.839127i	$-0.683067\pi$
$5$	1.01682	−	1.76119i	0.454737	−	0.787627i	0.998673	+	0.0514993i	$0.0164000\pi$
$6$	−1.63767	+	0.563937i	−0.668577	+	0.230226i
$7$	−0.746435	−	2.78573i	−0.282126	−	1.05291i	−0.950914	−	0.309455i	$-0.899853\pi$
$7$	−0.746435	−	2.78573i	−0.282126	−	1.05291i	0.668788	−	0.743453i	$-0.266813\pi$
$8$	−0.707107	+	0.707107i	−0.250000	+	0.250000i
$9$	2.97079	−	0.417653i	0.990262	−	0.139218i
$10$	−0.526346	+	1.96435i	−0.166445	+	0.621182i
$11$	−2.79777	+	2.79777i	−0.843558	+	0.843558i	−0.989320	−	0.145762i	$-0.953437\pi$
$11$	−2.79777	+	2.79777i	−0.843558	+	0.843558i	0.145762	+	0.989320i	$0.453437\pi$
$12$	1.43591	−	0.968583i	0.414513	−	0.279606i
$13$	3.45166	−	5.97845i	0.957318	−	1.65812i	0.228347	−	0.973580i	$-0.426668\pi$
$13$	3.45166	−	5.97845i	0.957318	−	1.65812i	0.728971	−	0.684544i	$-0.239999\pi$
$14$	1.44200	+	2.49762i	0.385391	+	0.667517i
$15$	1.54404	−	3.16593i	0.398669	−	0.817439i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	−5.55656	−	1.48888i	−1.34766	−	0.361105i	−0.488392	−	0.872625i	$-0.662416\pi$
$17$	−5.55656	−	1.48888i	−1.34766	−	0.361105i	−0.859272	+	0.511519i	$0.829083\pi$
$18$	−2.76146	+	1.17232i	−0.650883	+	0.276318i
$19$	−3.21756	+	1.85766i	−0.738158	+	0.426176i	−0.821399	−	0.570354i	$-0.806806\pi$
$19$	−3.21756	+	1.85766i	−0.738158	+	0.426176i	0.0832412	+	0.996529i	$0.473473\pi$
$20$		−	2.03365i		−	0.454737i
$21$	−1.62640	−	4.72306i	−0.354909	−	1.03066i
$22$	1.97832	−	3.42655i	0.421779	−	0.730543i
$23$	3.37242	+	3.37242i	0.703199	+	0.703199i	0.965096	−	0.261897i	$-0.0843480\pi$
$23$	3.37242	+	3.37242i	0.703199	+	0.703199i	−0.261897	+	0.965096i	$0.584348\pi$
$24$	−1.13630	+	1.30722i	−0.231946	+	0.266835i
$25$	0.432144	+	0.748495i	0.0864288	+	0.149699i
$26$	−1.78671	+	6.66810i	−0.350403	+	1.30772i
$27$	5.08253	−	1.08068i	0.978134	−	0.207978i
$28$	−2.03930	−	2.03930i	−0.385391	−	0.385391i
$29$	3.70127	+	0.991753i	0.687309	+	0.184164i	0.585539	−	0.810644i	$-0.300883\pi$
$29$	3.70127	+	0.991753i	0.687309	+	0.184164i	0.101770	+	0.994808i	$0.467549\pi$
$30$	−0.672023	+	3.45768i	−0.122694	+	0.631282i
$31$	−1.19910	+	4.47509i	−0.215364	+	0.803750i	0.770674	+	0.637230i	$0.219920\pi$
$31$	−1.19910	+	4.47509i	−0.215364	+	0.803750i	−0.986038	+	0.166520i	$0.946747\pi$
$32$	−0.258819	+	0.965926i	−0.0457532	+	0.170753i
$33$	−4.49592	+	5.17220i	−0.782639	+	0.900364i
$34$	5.75257			0.986558
$35$	−5.66520	−	1.51798i	−0.957593	−	0.256586i
$36$	2.36395	−	1.84709i	0.393992	−	0.307848i
$37$	−0.887889	−	0.887889i	−0.145968	−	0.145968i	0.630346	−	0.776314i	$-0.282913\pi$
$37$	−0.887889	−	0.887889i	−0.145968	−	0.145968i	−0.776314	+	0.630346i	$0.782913\pi$
$38$	2.62712	−	2.62712i	0.426176	−	0.426176i
$39$	5.24132	−	10.7469i	0.839283	−	1.72088i
$40$	0.526346	+	1.96435i	0.0832226	+	0.310591i
$41$	1.68444			0.263066			0.131533	−	0.991312i	$-0.458010\pi$
$41$	1.68444			0.263066			0.131533	+	0.991312i	$0.458010\pi$
$42$	2.79340	+	4.14118i	0.431031	+	0.638998i
$43$	11.7228	−	3.14111i	1.78771	−	0.479014i	0.795753	−	0.605621i	$-0.207075\pi$
$43$	11.7228	−	3.14111i	1.78771	−	0.479014i	0.991953	+	0.126607i	$0.0404086\pi$
$44$	−1.02405	+	3.82182i	−0.154382	+	0.576161i
$45$	2.28520	−	5.65679i	0.340657	−	0.843265i
$46$	−4.13036	−	2.38466i	−0.608988	−	0.351600i
$47$	3.94053	−	2.27507i	0.574786	−	0.331853i	−0.184273	−	0.982875i	$-0.558993\pi$
$47$	3.94053	−	2.27507i	0.574786	−	0.331853i	0.759059	+	0.651022i	$0.225660\pi$
$48$	0.759246	−	1.55677i	0.109588	−	0.224701i
$49$	−1.14097	+	0.658742i	−0.162996	+	0.0941060i
$50$	−0.611144	−	0.611144i	−0.0864288	−	0.0864288i
$51$	−9.78073	−	1.90095i	−1.36958	−	0.266187i
$52$		−	6.90332i		−	0.957318i
$53$	−0.0628529	−	0.0628529i	−0.00863351	−	0.00863351i	0.702777	−	0.711410i	$-0.251943\pi$
$53$	−0.0628529	−	0.0628529i	−0.00863351	−	0.00863351i	−0.711410	+	0.702777i	$0.751943\pi$
$54$	−4.62965	+	2.35932i	−0.630015	+	0.321062i
$55$	2.08256	+	7.77222i	0.280812	+	1.04801i
$56$	2.49762	+	1.44200i	0.333759	+	0.192696i
$57$	−5.33487	+	3.59859i	−0.706621	+	0.476645i
$58$	−3.83184			−0.503145
$59$	2.69099	+	10.0429i	0.350337	+	1.30748i	0.886252	+	0.463204i	$0.153300\pi$
$59$	2.69099	+	10.0429i	0.350337	+	1.30748i	−0.535915	+	0.844272i	$0.680033\pi$
$60$	−0.245787	−	3.51379i	−0.0317310	−	0.453628i
$61$	−1.93896	+	7.56574i	−0.248259	+	0.968694i
$61$	−1.93896	+	7.56574i	−0.248259	+	0.968694i
$62$		−	4.63295i		−	0.588386i
$63$	−3.38097	−	7.96407i	−0.425962	−	1.00338i
$64$		−	1.00000i		−	0.125000i
$65$	−7.01945	−	12.1580i	−0.870656	−	1.50802i
$66$	3.00406	−	6.15959i	0.369774	−	0.758193i
$67$	−5.42595	+	1.45388i	−0.662886	+	0.177620i	−0.574548	−	0.818471i	$-0.694822\pi$
$67$	−5.42595	+	1.45388i	−0.662886	+	0.177620i	−0.0883378	+	0.996091i	$0.528155\pi$
$68$	−5.55656	+	1.48888i	−0.673832	+	0.180553i
$69$	6.23457	+	5.41938i	0.750553	+	0.652417i
$70$	5.86504			0.701007
$71$	−4.15839	−	1.11424i	−0.493510	−	0.132236i	0.00347631	−	0.999994i	$-0.498893\pi$
$71$	−4.15839	−	1.11424i	−0.493510	−	0.132236i	−0.496986	+	0.867758i	$0.665560\pi$
$72$	−1.80534	+	2.39599i	−0.212761	+	0.282370i
$73$	6.30205	+	10.9155i	0.737599	+	1.27756i	0.953573	+	0.301160i	$0.0973740\pi$
$73$	6.30205	+	10.9155i	0.737599	+	1.27756i	−0.215974	+	0.976399i	$0.569293\pi$
$74$	1.08744	+	0.627832i	0.126412	+	0.0729840i
$75$	0.837134	+	1.24104i	0.0966639	+	0.143303i
$76$	−1.85766	+	3.21756i	−0.213088	+	0.369079i
$77$	9.88218	+	5.70548i	1.12618	+	0.650200i
$78$	−2.28122	+	11.7373i	−0.258297	+	1.32898i
$79$	−0.0557167	−	0.207937i	−0.00626861	−	0.0233948i	0.962721	−	0.270497i	$-0.0871882\pi$
$79$	−0.0557167	−	0.207937i	−0.00626861	−	0.0233948i	−0.968989	+	0.247103i	$0.920522\pi$
$80$	−1.01682	−	1.76119i	−0.113684	−	0.196907i
$81$	8.65113	−	2.48151i	0.961237	−	0.275724i
$82$	−1.62705	+	0.435966i	−0.179677	+	0.0481444i
$83$	−5.72748	−	3.30676i	−0.628672	−	0.362964i	0.151566	−	0.988447i	$-0.451569\pi$
$83$	−5.72748	−	3.30676i	−0.628672	−	0.362964i	−0.780238	+	0.625483i	$0.784902\pi$
$84$	−3.77003	−	3.27709i	−0.411344	−	0.357560i
$85$	−8.27222	+	8.27222i	−0.897249	+	0.897249i
$86$	−10.5104	+	6.06815i	−1.13336	+	0.654346i
$87$	6.51503	+	1.26624i	0.698485	+	0.135755i
$88$		−	3.95664i		−	0.421779i
$89$	8.47248	−	8.47248i	0.898081	−	0.898081i	−0.0971855	−	0.995266i	$-0.530984\pi$
$89$	8.47248	−	8.47248i	0.898081	−	0.898081i	0.995266	+	0.0971855i	$0.0309840\pi$
$90$	−0.743245	+	6.05549i	−0.0783449	+	0.638305i
$91$	−19.2308	−	5.15288i	−2.01594	−	0.540169i
$92$	4.60682	+	1.23439i	0.480294	+	0.128694i
$93$	−1.53097	+	7.87711i	−0.158754	+	0.816818i
$94$	−3.21743	+	3.21743i	−0.331853	+	0.331853i
$95$			7.55563i			0.775191i
$96$	−0.330453	+	1.70024i	−0.0337267	+	0.173530i
$97$	−11.8541	+	6.84396i	−1.20360	+	0.694899i	−0.961354	−	0.275316i	$-0.911217\pi$
$97$	−11.8541	+	6.84396i	−1.20360	+	0.694899i	−0.242246	+	0.970215i	$0.577884\pi$
$98$	0.931602	−	0.931602i	0.0941060	−	0.0941060i
$99$	−7.14307	+	9.48006i	−0.717905	+	0.952781i
$100$	0.748495	+	0.432144i	0.0748495	+	0.0432144i
$101$	−8.93986	+	2.39543i	−0.889550	+	0.238354i	−0.674523	−	0.738254i	$-0.735651\pi$
$101$	−8.93986	+	2.39543i	−0.889550	+	0.238354i	−0.215027	+	0.976608i	$0.568984\pi$
$102$	9.93946	−	0.695259i	0.984153	−	0.0688409i
$103$	3.82961	+	6.63308i	0.377343	+	0.653577i	0.990675	−	0.136248i	$-0.0435046\pi$
$103$	3.82961	+	6.63308i	0.377343	+	0.653577i	−0.613332	+	0.789825i	$0.710171\pi$
$104$	1.78671	+	6.66810i	0.175201	+	0.653861i
$105$	−9.97195	−	1.93812i	−0.973163	−	0.189141i
$106$	0.0769788	+	0.0444437i	0.00747684	+	0.00431676i
$107$	−5.97309	+	10.3457i	−0.577441	+	1.00016i	0.418331	+	0.908295i	$0.362615\pi$
$107$	−5.97309	+	10.3457i	−0.577441	+	1.00016i	−0.995772	+	0.0918621i	$0.970718\pi$
$108$	3.86126	−	3.47716i	0.371550	−	0.334590i
$109$	−16.4500	−	9.49740i	−1.57562	−	0.909686i	−0.995460	−	0.0951853i	$-0.969656\pi$
$109$	−16.4500	−	9.49740i	−1.57562	−	0.909686i	−0.580163	−	0.814501i	$-0.697011\pi$
$110$	−4.02320	−	6.96838i	−0.383597	−	0.664409i
$111$	−1.64143	−	1.42681i	−0.155798	−	0.135427i
$112$	−2.78573	−	0.746435i	−0.263227	−	0.0705315i
$113$	−15.3880			−1.44758			−0.723788	−	0.690022i	$-0.757601\pi$
$113$	−15.3880			−1.44758			−0.723788	+	0.690022i	$0.757601\pi$
$114$	4.22170	−	4.85674i	0.395399	−	0.454875i
$115$	9.36863	−	2.51032i	0.873629	−	0.234088i
$116$	3.70127	−	0.991753i	0.343655	−	0.0920820i
$117$	7.75723	−	19.2023i	0.717156	−	1.77525i
$118$	−5.19860	−	9.00423i	−0.478569	−	0.828907i
$119$			16.5904i			1.52084i
$120$	1.14685	+	3.33045i	0.104692	+	0.304027i
$121$		−	4.65498i		−	0.423180i
$122$	−0.0852642	−	7.80978i	−0.00771946	−	0.707065i
$123$	2.91043	−	0.203583i	0.262424	−	0.0183564i
$124$	1.19910	+	4.47509i	0.107682	+	0.401875i
$125$	11.9259			1.06668
$126$	5.32702	+	6.81764i	0.474569	+	0.607364i
$127$	6.47788	+	3.74001i	0.574819	+	0.331872i	0.759072	−	0.651007i	$-0.225653\pi$
$127$	6.47788	+	3.74001i	0.574819	+	0.331872i	−0.184253	+	0.982879i	$0.558987\pi$
$128$	0.258819	+	0.965926i	0.0228766	+	0.0853766i
$129$	19.8753	−	6.84412i	1.74992	−	0.602591i
$130$	9.92700	+	9.92700i	0.870656	+	0.870656i
$131$		−	14.9738i		−	1.30827i	−0.756378	−	0.654135i	$-0.773033\pi$
$131$		−	14.9738i		−	1.30827i	0.756378	−	0.654135i	$-0.226967\pi$
$132$	−1.30748	+	6.72722i	−0.113802	+	0.585529i
$133$	7.57664	+	7.57664i	0.656978	+	0.656978i
$134$	4.86478	−	2.80868i	0.420253	−	0.242633i
$135$	3.26475	−	10.0502i	0.280985	−	0.864980i
$136$	4.98187	−	2.87629i	0.427192	−	0.246640i
$137$	−4.24911	−	2.45323i	−0.363026	−	0.209593i	0.307381	−	0.951586i	$-0.400547\pi$
$137$	−4.24911	−	2.45323i	−0.363026	−	0.209593i	−0.670407	+	0.741993i	$0.733881\pi$
$138$	−7.42477	−	3.62109i	−0.632038	−	0.308248i
$139$	0.474576	−	1.77114i	0.0402530	−	0.150226i	−0.942874	−	0.333148i	$-0.891889\pi$
$139$	0.474576	−	1.77114i	0.0402530	−	0.150226i	0.983127	+	0.182922i	$0.0585556\pi$
$140$	−5.66520	+	1.51798i	−0.478796	+	0.128293i
$141$	6.53360	−	4.40718i	0.550229	−	0.371152i
$142$	4.30508			0.361274
$143$	7.06937	+	26.3832i	0.591170	+	2.20628i
$144$	1.12369	−	2.78160i	0.0936412	−	0.231800i
$145$	5.51020	−	5.51020i	0.457597	−	0.457597i
$146$	−8.91245	−	8.91245i	−0.737599	−	0.737599i
$147$	−1.89179	+	1.27609i	−0.156032	+	0.105250i
$148$	−1.21288	−	0.324990i	−0.0996980	−	0.0267140i
$149$	−3.87312			−0.317298			−0.158649	−	0.987335i	$-0.550714\pi$
$149$	−3.87312			−0.317298			−0.158649	+	0.987335i	$0.550714\pi$
$150$	−1.12982	−	0.982089i	−0.0922490	−	0.0801872i
$151$	−1.22733	+	4.58047i	−0.0998789	+	0.372753i	−0.997714	−	0.0675788i	$-0.978473\pi$
$151$	−1.22733	+	4.58047i	−0.0998789	+	0.372753i	0.897835	+	0.440332i	$0.145139\pi$
$152$	0.961594	−	3.58872i	0.0779956	−	0.291083i
$153$	−17.1292	−	2.10242i	−1.38481	−	0.169970i
$154$	−11.0221	−	2.95337i	−0.888190	−	0.237990i
$155$	6.66221	+	6.66221i	0.535121	+	0.535121i
$156$	−0.834339	−	11.9278i	−0.0668006	−	0.954985i
$157$	1.10320	−	4.11721i	0.0880452	−	0.328589i	−0.907828	−	0.419342i	$-0.862261\pi$
$157$	1.10320	−	4.11721i	0.0880452	−	0.328589i	0.995873	+	0.0907531i	$0.0289274\pi$
$158$	0.107636	+	0.186432i	0.00856309	+	0.0148317i
$159$	−0.116196	−	0.101003i	−0.00921490	−	0.00801003i
$160$	1.43800	+	1.43800i	0.113684	+	0.113684i
$161$	6.87738	−	11.9120i	0.542014	−	0.938795i
$162$	−7.71409	+	4.63604i	−0.606076	+	0.364241i
$163$			12.5565i			0.983499i	0.870737	+	0.491749i	$0.163642\pi$
$163$			12.5565i			0.983499i	−0.870737	+	0.491749i	$0.836358\pi$
$164$	1.45877	−	0.842221i	0.113911	−	0.0657664i
$165$	4.53766	+	13.1774i	0.353257	+	1.02586i
$166$	6.38817	+	1.71170i	0.495818	+	0.132854i
$167$	−1.75415	+	3.03828i	−0.135740	+	0.235109i	−0.925880	−	0.377818i	$-0.876675\pi$
$167$	−1.75415	+	3.03828i	−0.135740	+	0.235109i	0.790140	+	0.612927i	$0.210008\pi$
$168$	4.48974	+	2.18967i	0.346391	+	0.168937i
$169$	−17.3279	−	30.0128i	−1.33292	−	2.30868i
$170$	5.84935	−	10.1314i	0.448624	−	0.777040i
$171$	−8.78281	+	6.86252i	−0.671639	+	0.524790i
$172$	8.58167	−	8.58167i	0.654346	−	0.654346i
$173$	5.03176	−	18.7788i	0.382558	−	1.42772i	−0.459423	−	0.888218i	$-0.651944\pi$
$173$	5.03176	−	18.7788i	0.382558	−	1.42772i	0.841981	−	0.539507i	$-0.181390\pi$
$174$	−6.62076	+	0.463118i	−0.501919	+	0.0351089i
$175$	1.76254	−	1.76254i	0.133236	−	0.133236i
$176$	1.02405	+	3.82182i	0.0771909	+	0.288080i
$177$	5.86336	+	17.0272i	0.440717	+	1.27984i
$178$	−5.99095	+	10.3766i	−0.449040	+	0.777761i
$179$	18.8203	−	10.8659i	1.40670	−	0.812156i	0.411628	−	0.911352i	$-0.364960\pi$
$179$	18.8203	−	10.8659i	1.40670	−	0.812156i	0.995068	+	0.0991958i	$0.0316270\pi$
$180$	−0.849357	−	6.04152i	−0.0633074	−	0.450309i
$181$	12.3420	−	3.30702i	0.917372	−	0.245809i	0.230910	−	0.972975i	$-0.425830\pi$
$181$	12.3420	−	3.30702i	0.917372	−	0.245809i	0.686462	+	0.727166i	$0.259163\pi$
$182$	19.9092			1.47577
$183$	−2.43579	+	13.3066i	−0.180059	+	0.983656i
$184$	−4.76933			−0.351600
$185$	−2.46656	+	0.660914i	−0.181345	+	0.0485914i
$186$	−0.559941	−	8.00495i	−0.0410569	−	0.586951i
$187$	19.7115	−	11.3804i	1.44145	−	0.832219i
$188$	2.27507	−	3.94053i	0.165926	−	0.287393i
$189$	−6.80428	−	13.3519i	−0.494938	−	0.971210i
$190$	−1.95554	−	7.29818i	−0.141870	−	0.529465i
$191$	−1.33454	+	1.33454i	−0.0965639	+	0.0965639i	−0.753738	−	0.657175i	$-0.771751\pi$
$191$	−1.33454	+	1.33454i	−0.0965639	+	0.0965639i	0.657175	+	0.753738i	$0.271751\pi$
$192$	−0.120861	−	1.72783i	−0.00872236	−	0.124695i
$193$	1.79752	−	6.70844i	0.129388	−	0.482884i	−0.870570	−	0.492045i	$-0.836250\pi$
$193$	1.79752	−	6.70844i	0.129388	−	0.482884i	0.999958	+	0.00916131i	$0.00291618\pi$
$194$	9.67882	−	9.67882i	0.694899	−	0.694899i
$195$	−13.5978	−	20.1586i	−0.973762	−	1.44359i
$196$	−0.658742	+	1.14097i	−0.0470530	+	0.0814982i
$197$	8.06652	+	13.9716i	0.574716	+	0.995437i	0.996072	+	0.0885417i	$0.0282207\pi$
$197$	8.06652	+	13.9716i	0.574716	+	0.995437i	−0.421357	+	0.906895i	$0.638446\pi$
$198$	4.44605	−	11.0058i	0.315967	−	0.782148i
$199$	−12.3053	+	21.3134i	−0.872300	+	1.51087i	−0.0126893	+	0.999919i	$0.504039\pi$
$199$	−12.3053	+	21.3134i	−0.872300	+	1.51087i	−0.859611	+	0.510949i	$0.829294\pi$
$200$	−0.834838	−	0.223694i	−0.0590320	−	0.0158176i
$201$	−9.19940	+	3.16784i	−0.648876	+	0.223442i
$202$	8.01526	−	4.62761i	0.563952	−	0.325598i
$203$		−	11.0510i		−	0.775631i
$204$	−9.42084	+	3.24409i	−0.659590	+	0.227132i
$205$	1.71278	−	2.96662i	0.119626	−	0.207198i
$206$	−5.41589	−	5.41589i	−0.377343	−	0.377343i
$207$	11.4273	+	8.61025i	0.794249	+	0.598454i
$208$	−3.45166	−	5.97845i	−0.239330	−	0.414531i
$209$	3.80468	−	14.1993i	0.263175	−	0.982183i
$210$	10.1338	−	0.708852i	0.699298	−	0.0489155i
$211$	−0.841429	−	0.841429i	−0.0579264	−	0.0579264i	0.677550	−	0.735477i	$-0.263042\pi$
$211$	−0.841429	−	0.841429i	−0.0579264	−	0.0579264i	−0.735477	+	0.677550i	$0.763042\pi$
$212$	−0.0858587	−	0.0230058i	−0.00589680	−	0.00158004i
$213$	−7.31965	−	1.42263i	−0.501534	−	0.0974767i
$214$	3.09190	−	11.5391i	0.211358	−	0.788799i
$215$	6.38790	−	23.8400i	0.435651	−	1.62587i
$216$	−2.82973	+	4.35805i	−0.192539	+	0.296528i
$217$	13.3615			0.907035
$218$	18.3476	+	4.91622i	1.24265	+	0.332968i
$219$	12.2081	+	18.0984i	0.824948	+	1.22298i
$220$	5.68966	+	5.68966i	0.383597	+	0.383597i
$221$	−28.0805	+	28.0805i	−1.88890	+	1.88890i
$222$	1.95479	+	0.953358i	0.131197	+	0.0639852i
$223$	−1.30265	−	4.86157i	−0.0872321	−	0.325555i	0.908495	−	0.417895i	$-0.137232\pi$
$223$	−1.30265	−	4.86157i	−0.0872321	−	0.325555i	−0.995728	+	0.0923401i	$0.970565\pi$
$224$	2.88400			0.192696
$225$	1.59642	+	2.04313i	0.106428	+	0.136209i
$226$	14.8636	−	3.98270i	0.988713	−	0.264925i
$227$	−1.22089	+	4.55641i	−0.0810330	+	0.302419i	−0.994533	−	0.104418i	$-0.966702\pi$
$227$	−1.22089	+	4.55641i	−0.0810330	+	0.302419i	0.913500	+	0.406838i	$0.133369\pi$
$228$	−2.82084	+	5.78390i	−0.186815	+	0.383048i
$229$	6.09831	+	3.52086i	0.402988	+	0.232665i	0.687772	−	0.725927i	$-0.258589\pi$
$229$	6.09831	+	3.52086i	0.402988	+	0.232665i	−0.284785	+	0.958592i	$0.591922\pi$
$230$	−8.39969	+	4.84956i	−0.553859	+	0.319771i
$231$	17.7643	+	8.66373i	1.16880	+	0.570032i
$232$	−3.31847	+	1.91592i	−0.217868	+	0.125786i
$233$	−18.8942	−	18.8942i	−1.23780	−	1.23780i	−0.960899	−	0.276898i	$-0.910693\pi$
$233$	−18.8942	−	18.8942i	−1.23780	−	1.23780i	−0.276898	−	0.960899i	$-0.589307\pi$
$234$	−2.52299	+	20.5557i	−0.164933	+	1.34377i
$235$		−	9.25336i		−	0.603623i
$236$	7.35192	+	7.35192i	0.478569	+	0.478569i
$237$	−0.121400	−	0.352546i	−0.00788580	−	0.0229003i
$238$	−4.29392	−	16.0251i	−0.278334	−	1.03876i
$239$	−8.98353	−	5.18664i	−0.581096	−	0.335496i	0.180473	−	0.983580i	$-0.442237\pi$
$239$	−8.98353	−	5.18664i	−0.581096	−	0.335496i	−0.761569	+	0.648084i	$0.775571\pi$
$240$	−1.96975	−	2.92014i	−0.127147	−	0.188494i
$241$	14.8890			0.959088			0.479544	−	0.877518i	$-0.340802\pi$
$241$	14.8890			0.959088			0.479544	+	0.877518i	$0.340802\pi$
$242$	1.20480	+	4.49637i	0.0774474	+	0.289038i
$243$	14.6478	−	5.33321i	0.939654	−	0.342126i
$244$	2.10368	+	7.52160i	0.134674	+	0.481521i
$245$			2.67929i			0.171174i
$246$	−2.75857	+	0.949920i	−0.175880	+	0.0605647i
$247$			25.6480i			1.63194i
$248$	−2.31648	−	4.01226i	−0.147096	−	0.254778i
$249$	−10.2958	−	5.02129i	−0.652467	−	0.318211i
$250$	−11.5195	+	3.08664i	−0.728558	+	0.195217i
$251$	−14.7813	+	3.96064i	−0.932989	+	0.249994i	−0.693129	−	0.720814i	$-0.743768\pi$
$251$	−14.7813	+	3.96064i	−0.932989	+	0.249994i	−0.239860	+	0.970807i	$0.577102\pi$
$252$	−6.91004	−	5.20660i	−0.435292	−	0.327985i
$253$	−18.8705			−1.18638
$254$	−7.22514	−	1.93597i	−0.453345	−	0.121474i
$255$	−13.2932	+	15.2928i	−0.832453	+	0.957671i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	23.9497	+	13.8274i	1.49394	+	0.862529i	0.999976	−	0.00695191i	$-0.00221288\pi$
$257$	23.9497	+	13.8274i	1.49394	+	0.862529i	0.493967	+	0.869480i	$0.335546\pi$
$258$	−17.4267	+	11.7550i	−1.08494	+	0.731836i
$259$	−1.81067	+	3.13617i	−0.112510	+	0.194872i
$260$	−12.1580	−	7.01945i	−0.754010	−	0.435328i
$261$	11.4099	+	1.40044i	0.706255	+	0.0866850i
$262$	3.87551	+	14.4636i	0.239430	+	0.893564i
$263$	−4.67769	−	8.10199i	−0.288439	−	0.499590i	0.684999	−	0.728544i	$-0.259803\pi$
$263$	−4.67769	−	8.10199i	−0.288439	−	0.499590i	−0.973437	+	0.228954i	$0.926469\pi$
$264$	−0.478201	−	6.83639i	−0.0294313	−	0.420751i
$265$	−0.174606	+	0.0467856i	−0.0107260	+	0.00287401i
$266$	−9.27945	−	5.35749i	−0.568959	−	0.328489i
$267$	13.6150	−	15.6630i	0.833225	−	0.958559i
$268$	−3.97207	+	3.97207i	−0.242633	+	0.242633i
$269$	−5.70372	+	3.29304i	−0.347762	+	0.200780i	−0.663699	−	0.748000i	$-0.731014\pi$
$269$	−5.70372	+	3.29304i	−0.347762	+	0.200780i	0.315937	+	0.948780i	$0.397681\pi$
$270$	−0.552330	+	10.5527i	−0.0336137	+	0.642216i
$271$			1.16208i			0.0705914i	0.999377	+	0.0352957i	$0.0112373\pi$
$271$			1.16208i			0.0705914i	−0.999377	+	0.0352957i	$0.988763\pi$
$272$	−4.06768	+	4.06768i	−0.246640	+	0.246640i
$273$	−33.8503	−	6.57905i	−2.04872	−	0.398182i
$274$	4.73927	+	1.26988i	0.286310	+	0.0767164i
$275$	−3.30315	−	0.885077i	−0.199188	−	0.0533721i
$276$	8.10898	+	1.57604i	0.488103	+	0.0948663i
$277$	6.59771	−	6.59771i	0.396418	−	0.396418i	−0.480549	−	0.876968i	$-0.659563\pi$
$277$	6.59771	−	6.59771i	0.396418	−	0.396418i	0.876968	+	0.480549i	$0.159563\pi$
$278$			1.83362i			0.109973i
$279$	−1.69323	+	13.7953i	−0.101371	+	0.825905i
$280$	5.07928	−	2.93252i	0.303545	−	0.175252i
$281$	3.37160	−	3.37160i	0.201133	−	0.201133i	−0.599352	−	0.800485i	$-0.704575\pi$
$281$	3.37160	−	3.37160i	0.201133	−	0.201133i	0.800485	+	0.599352i	$0.204575\pi$
$282$	−5.17031	+	5.94803i	−0.307888	+	0.354200i
$283$	−19.3699	−	11.1832i	−1.15142	−	0.664774i	−0.202189	−	0.979347i	$-0.564805\pi$
$283$	−19.3699	−	11.1832i	−1.15142	−	0.664774i	−0.949233	+	0.314573i	$0.898139\pi$
$284$	−4.15839	+	1.11424i	−0.246755	+	0.0661178i
$285$	0.913178	+	13.0548i	0.0540920	+	0.773302i
$286$	−13.6570	−	23.6546i	−0.807554	−	1.39872i
$287$	−1.25733	−	4.69241i	−0.0742177	−	0.276984i
$288$	−0.365474	+	2.97765i	−0.0215358	+	0.175460i
$289$	13.9362	+	8.04605i	0.819774	+	0.473297i
$290$	−3.89630	+	6.74859i	−0.228799	+	0.396291i
$291$	−19.6547	+	13.2579i	−1.15218	+	0.777191i
$292$	10.9155	+	6.30205i	0.638780	+	0.368800i
$293$	1.46799	+	2.54264i	0.0857611	+	0.148543i	0.905715	−	0.423887i	$-0.139334\pi$
$293$	1.46799	+	2.54264i	0.0857611	+	0.148543i	−0.819954	+	0.572429i	$0.806001\pi$
$294$	1.49705	−	1.72224i	0.0873100	−	0.100443i
$295$	20.4237	+	5.47252i	1.18912	+	0.318622i
$296$	1.25566			0.0729840
$297$	−11.1962	+	17.2432i	−0.649671	+	1.00055i
$298$	3.74114	−	1.00244i	0.216719	−	0.0580696i
$299$	31.8023	−	8.52141i	1.83918	−	0.492806i
$300$	1.34550	+	0.656207i	0.0776825	+	0.0378861i
$301$	−17.5006	−	30.3119i	−1.00872	−	1.74715i
$302$		−	4.74205i		−	0.272874i
$303$	−15.1570	+	5.21937i	−0.870749	+	0.299845i
$304$			3.71531i			0.213088i
$305$	11.3531	+	11.1079i	0.650077	+	0.636036i
$306$	17.0897	−	2.40258i	0.976951	−	0.137346i
$307$	5.63381	+	21.0257i	0.321538	+	1.20000i	0.917746	+	0.397168i	$0.130007\pi$
$307$	5.63381	+	21.0257i	0.321538	+	1.20000i	−0.596208	+	0.802830i	$0.703327\pi$
$308$	11.4110			0.650200
$309$	7.41859	+	10.9980i	0.422029	+	0.625653i
$310$	−8.15950	−	4.71089i	−0.463429	−	0.267561i
$311$	2.16462	+	8.07847i	0.122744	+	0.458088i	0.999749	−	0.0223935i	$-0.00712866\pi$
$311$	2.16462	+	8.07847i	0.122744	+	0.458088i	−0.877005	+	0.480481i	$0.840462\pi$
$312$	3.89304	+	11.3054i	0.220400	+	0.640041i
$313$	−14.1227	−	14.1227i	−0.798260	−	0.798260i	0.184561	−	0.982821i	$-0.440914\pi$
$313$	−14.1227	−	14.1227i	−0.798260	−	0.798260i	−0.982821	+	0.184561i	$0.940914\pi$
$314$			4.26245i			0.240544i
$315$	−17.4641	−	2.14352i	−0.983989	−	0.120774i
$316$	−0.152221	−	0.152221i	−0.00856309	−	0.00856309i
$317$	8.58229	−	4.95499i	0.482029	−	0.278300i	−0.239232	−	0.970962i	$-0.576896\pi$
$317$	8.58229	−	4.95499i	0.482029	−	0.278300i	0.721262	+	0.692663i	$0.243562\pi$
$318$	0.138378	+	0.0674874i	0.00775983	+	0.00378451i
$319$	−13.1300	+	7.58060i	−0.735138	+	0.424432i
$320$	−1.76119	−	1.01682i	−0.0984534	−	0.0568421i
$321$	−9.07010	+	18.5975i	−0.506243	+	1.03801i
$322$	−3.56000	+	13.2861i	−0.198391	+	0.740405i
$323$	20.6444	−	5.53164i	1.14868	−	0.307789i
$324$	6.25134	−	6.47462i	0.347297	−	0.359701i
$325$	5.96646			0.330959
$326$	−3.24985	−	12.1286i	−0.179993	−	0.671742i
$327$	−29.5706	−	14.4217i	−1.63526	−	0.797523i
$328$	−1.19108	+	1.19108i	−0.0657664	+	0.0657664i
$329$	−9.27909	−	9.27909i	−0.511573	−	0.511573i
$330$	−7.79360	−	11.5539i	−0.429024	−	0.636023i
$331$	−11.7108	−	3.13789i	−0.643683	−	0.172474i	−0.0778117	−	0.996968i	$-0.524793\pi$
$331$	−11.7108	−	3.13789i	−0.643683	−	0.172474i	−0.565871	+	0.824494i	$0.691460\pi$
$332$	−6.61352			−0.362964
$333$	−3.00856	−	2.26690i	−0.164868	−	0.124225i
$334$	0.908015	−	3.38876i	0.0496844	−	0.185425i
$335$	−2.95668	+	11.0345i	−0.161540	+	0.602877i
$336$	−4.90349	−	0.953027i	−0.267507	−	0.0519919i
$337$	6.99486	+	1.87427i	0.381034	+	0.102098i	0.444252	−	0.895902i	$-0.353470\pi$
$337$	6.99486	+	1.87427i	0.381034	+	0.102098i	−0.0632176	+	0.998000i	$0.520136\pi$
$338$	24.5054	+	24.5054i	1.33292	+	1.33292i
$339$	−26.5877	+	1.85980i	−1.44405	+	0.101010i
$340$	−3.02784	+	11.3001i	−0.164208	+	0.612832i
$341$	−9.16546	−	15.8750i	−0.496337	−	0.859682i
$342$	6.70740	−	8.90185i	0.362694	−	0.481357i
$343$	−11.5884	−	11.5884i	−0.625712	−	0.625712i
$344$	−6.06815	+	10.5104i	−0.327173	+	0.566680i
$345$	15.8840	−	5.46970i	0.855165	−	0.294479i
$346$			19.4412i			1.04517i
$347$	6.85901	−	3.96005i	0.368211	−	0.212587i	−0.304466	−	0.952523i	$-0.598478\pi$
$347$	6.85901	−	3.96005i	0.368211	−	0.212587i	0.672677	+	0.739937i	$0.265145\pi$
$348$	6.27530	−	2.16092i	0.336392	−	0.115837i
$349$	7.68362	+	2.05882i	0.411295	+	0.110206i	0.458533	−	0.888678i	$-0.348375\pi$
$349$	7.68362	+	2.05882i	0.411295	+	0.110206i	−0.0472379	+	0.998884i	$0.515042\pi$
$350$	−1.24631	+	2.15866i	−0.0666178	+	0.115385i
$351$	11.0824	−	34.1158i	0.591533	−	1.82097i
$352$	−1.97832	−	3.42655i	−0.105445	−	0.182636i
$353$	−2.31057	+	4.00202i	−0.122979	+	0.213006i	−0.920941	−	0.389702i	$-0.872578\pi$
$353$	−2.31057	+	4.00202i	−0.122979	+	0.213006i	0.797962	+	0.602708i	$0.205912\pi$
$354$	−10.0705	−	14.9295i	−0.535243	−	0.793492i
$355$	−6.19073	+	6.19073i	−0.328570	+	0.328570i
$356$	3.10114	−	11.5736i	0.164360	−	0.613401i
$357$	2.00513	+	28.6655i	0.106123	+	1.51714i
$358$	−15.3667	+	15.3667i	−0.812156	+	0.812156i
$359$	−6.80559	−	25.3988i	−0.359185	−	1.34050i	−0.875135	−	0.483879i	$-0.839228\pi$
$359$	−6.80559	−	25.3988i	−0.359185	−	1.34050i	0.515950	−	0.856619i	$-0.327439\pi$
$360$	2.38408	+	5.61583i	0.125652	+	0.295980i
$361$	−2.59822	+	4.50025i	−0.136748	+	0.236855i
$362$	−11.0655	+	6.38868i	−0.581591	+	0.335782i
$363$	−0.562604	−	8.04302i	−0.0295291	−	0.422149i
$364$	−19.2308	+	5.15288i	−1.00797	+	0.270084i
$365$	25.6323			1.34165
$366$	−1.09122	−	13.4837i	−0.0570388	−	0.704803i
$367$	17.2326			0.899536			0.449768	−	0.893145i	$-0.351507\pi$
$367$	17.2326			0.899536			0.449768	+	0.893145i	$0.351507\pi$
$368$	4.60682	−	1.23439i	0.240147	−	0.0643472i
$369$	5.00412	−	0.703512i	0.260504	−	0.0366234i
$370$	2.21146	−	1.27679i	0.114968	−	0.0663770i
$371$	−0.128176	+	0.222007i	−0.00665456	+	0.0115260i
$372$	2.61270	+	7.58727i	0.135462	+	0.393381i
$373$	3.58443	+	13.3773i	0.185595	+	0.692650i	0.994502	+	0.104714i	$0.0333927\pi$
$373$	3.58443	+	13.3773i	0.185595	+	0.692650i	−0.808907	+	0.587936i	$0.799941\pi$
$374$	−16.0943	+	16.0943i	−0.832219	+	0.832219i
$375$	20.6059	−	1.44137i	1.06408	−	0.0744319i
$376$	−1.17766	+	4.39510i	−0.0607333	+	0.226660i
$377$	18.7047	−	18.7047i	0.963340	−	0.963340i
$378$	10.0282	+	11.1359i	0.515793	+	0.572768i
$379$	−17.9644	+	31.1153i	−0.922769	+	1.59828i	−0.127659	+	0.991818i	$0.540746\pi$
$379$	−17.9644	+	31.1153i	−0.922769	+	1.59828i	−0.795110	+	0.606465i	$0.792587\pi$
$380$	3.77781	+	6.54337i	0.193798	+	0.335668i
$381$	11.6447	+	5.67917i	0.596575	+	0.290953i
$382$	0.943662	−	1.63447i	0.0482820	−	0.0836268i
$383$	−23.3025	−	6.24389i	−1.19070	−	0.319048i	−0.391539	−	0.920161i	$-0.628057\pi$
$383$	−23.3025	−	6.24389i	−1.19070	−	0.319048i	−0.799164	+	0.601114i	$0.794724\pi$
$384$	0.563937	+	1.63767i	0.0287783	+	0.0835722i
$385$	20.0969	−	11.6029i	1.02423	−	0.591340i
$386$			6.94508i			0.353495i
$387$	33.5140	−	14.2276i	1.70361	−	0.723230i
$388$	−6.84396	+	11.8541i	−0.347449	+	0.601800i
$389$	11.6564	+	11.6564i	0.591004	+	0.591004i	0.937903	−	0.346898i	$-0.112765\pi$
$389$	11.6564	+	11.6564i	0.591004	+	0.591004i	−0.346898	+	0.937903i	$0.612765\pi$
$390$	18.3519	+	15.9524i	0.929287	+	0.807780i
$391$	−13.7180	−	23.7602i	−0.693747	−	1.20160i
$392$	0.340990	−	1.27259i	0.0172226	−	0.0642756i
$393$	−1.80974	−	25.8722i	−0.0912895	−	1.30508i
$394$	−11.4078	−	11.4078i	−0.574716	−	0.574716i
$395$	−0.422871	−	0.113308i	−0.0212769	−	0.00570114i
$396$	−1.44605	+	11.7815i	−0.0726667	+	0.592043i
$397$	1.05132	−	3.92356i	0.0527640	−	0.196918i	−0.934513	−	0.355930i	$-0.884164\pi$
$397$	1.05132	−	3.92356i	0.0527640	−	0.196918i	0.987277	+	0.159012i	$0.0508308\pi$
$398$	6.36970	−	23.7720i	0.319284	−	1.19158i
$399$	14.0069	+	12.1754i	0.701220	+	0.609533i
$400$	0.864288			0.0432144
$401$	−10.8694	−	2.91244i	−0.542791	−	0.145441i	−0.0230028	−	0.999735i	$-0.507323\pi$
$401$	−10.8694	−	2.91244i	−0.542791	−	0.145441i	−0.519789	+	0.854295i	$0.673989\pi$
$402$	8.06604	−	5.44088i	0.402298	−	0.271366i
$403$	22.6152	+	22.6152i	1.12654	+	1.12654i
$404$	−6.54443	+	6.54443i	−0.325598	+	0.325598i
$405$	4.42625	−	17.7595i	0.219942	−	0.882478i
$406$	2.86022	+	10.6745i	0.141950	+	0.529766i
$407$	4.96821			0.246265
$408$	8.26020	−	5.57184i	0.408941	−	0.275847i
$409$	−6.76362	+	1.81231i	−0.334440	+	0.0896128i	−0.422131	−	0.906535i	$-0.638718\pi$
$409$	−6.76362	+	1.81231i	−0.334440	+	0.0896128i	0.0876913	+	0.996148i	$0.472051\pi$
$410$	−0.886599	+	3.30883i	−0.0437860	+	0.163412i
$411$	−7.63823	−	3.72520i	−0.376766	−	0.183751i
$412$	6.63308	+	3.82961i	0.326788	+	0.188671i
$413$	25.9682	−	14.9928i	1.27781	−	0.737746i
$414$	−13.2664	−	5.35927i	−0.652007	−	0.263394i
$415$	−11.6477	+	6.72478i	−0.571761	+	0.330106i
$416$	4.88138	+	4.88138i	0.239330	+	0.239330i
$417$	0.605925	−	3.11759i	0.0296723	−	0.152669i
$418$			14.7002i			0.719008i
$419$	−0.0801086	−	0.0801086i	−0.00391356	−	0.00391356i	0.705147	−	0.709061i	$-0.250881\pi$
$419$	−0.0801086	−	0.0801086i	−0.00391356	−	0.00391356i	−0.709061	+	0.705147i	$0.750881\pi$
$420$	−9.60502	+	3.30752i	−0.468677	+	0.161390i
$421$	−4.06835	−	15.1833i	−0.198279	−	0.739987i	−0.991394	−	0.130915i	$-0.958209\pi$
$421$	−4.06835	−	15.1833i	−0.198279	−	0.739987i	0.793115	−	0.609072i	$-0.208458\pi$
$422$	1.03054	+	0.594980i	0.0501657	+	0.0289632i
$423$	10.7563	−	8.40452i	0.522989	−	0.408642i
$424$	0.0888874			0.00431676
$425$	−1.28682	−	4.80247i	−0.0624198	−	0.232954i
$426$	7.43845	−	0.520315i	0.360394	−	0.0252093i
$427$	22.5235	−	0.245902i	1.08999	−	0.0119001i
$428$			11.9462i			0.577441i
$429$	15.4034	+	44.7313i	0.743681	+	2.15965i
$430$			24.6809i			1.19022i
$431$	−3.39687	−	5.88354i	−0.163621	−	0.283400i	0.772544	−	0.634962i	$-0.218984\pi$
$431$	−3.39687	−	5.88354i	−0.163621	−	0.283400i	−0.936165	+	0.351561i	$0.885651\pi$
$432$	1.60537	−	4.94194i	0.0772382	−	0.237769i
$433$	39.5667	−	10.6019i	1.90146	−	0.509494i	0.904997	−	0.425418i	$-0.139873\pi$
$433$	39.5667	−	10.6019i	1.90146	−	0.509494i	0.996459	−	0.0840759i	$-0.0267938\pi$
$434$	−12.9062	+	3.45820i	−0.619516	+	0.165999i
$435$	8.85472	−	10.1867i	0.424551	−	0.488413i
$436$	−18.9948			−0.909686
$437$	−17.1158	−	4.58616i	−0.818758	−	0.219386i
$438$	−16.4763	−	14.3220i	−0.787270	−	0.684333i
$439$	−16.1588	−	27.9879i	−0.771218	−	1.33579i	−0.936896	−	0.349608i	$-0.886315\pi$
$439$	−16.1588	−	27.9879i	−0.771218	−	1.33579i	0.165678	−	0.986180i	$-0.447019\pi$
$440$	−6.96838	−	4.02320i	−0.332205	−	0.191798i
$441$	−3.11447	+	2.43351i	−0.148308	+	0.115882i
$442$	19.8559	−	34.3915i	0.944450	−	1.63584i
$443$	−14.7732	−	8.52930i	−0.701895	−	0.405239i	0.106158	−	0.994349i	$-0.466145\pi$
$443$	−14.7732	−	8.52930i	−0.701895	−	0.405239i	−0.808053	+	0.589110i	$0.799478\pi$
$444$	−2.13493	−	0.414938i	−0.101319	−	0.0196921i
$445$	−6.30662	−	23.5366i	−0.298963	−	1.11574i
$446$	2.51653	+	4.35876i	0.119161	+	0.206393i
$447$	−6.69208	+	0.468107i	−0.316525	+	0.0221407i
$448$	−2.78573	+	0.746435i	−0.131614	+	0.0352658i
$449$	−34.9943	−	20.2040i	−1.65148	−	0.953485i	−0.976462	−	0.215688i	$-0.930801\pi$
$449$	−34.9943	−	20.2040i	−1.65148	−	0.953485i	−0.675022	−	0.737797i	$-0.735866\pi$
$450$	−2.07082	−	1.56033i	−0.0976195	−	0.0735547i
$451$	−4.71267	+	4.71267i	−0.221911	+	0.221911i
$452$	−13.3264	+	7.69398i	−0.626819	+	0.361894i
$453$	−1.56702	+	8.06260i	−0.0736251	+	0.378814i
$454$		−	4.71714i		−	0.221386i
$455$	−28.6295	+	28.6295i	−1.34217	+	1.34217i
$456$	1.22774	−	6.31691i	0.0574940	−	0.295816i
$457$	−15.6120	−	4.18322i	−0.730297	−	0.195683i	−0.125536	−	0.992089i	$-0.540065\pi$
$457$	−15.6120	−	4.18322i	−0.730297	−	0.195683i	−0.604762	+	0.796406i	$0.706732\pi$
$458$	−6.80178	−	1.82253i	−0.317826	−	0.0851613i
$459$	−29.8504	−	1.56238i	−1.39330	−	0.0729255i
$460$	6.85831	−	6.85831i	0.319771	−	0.319771i
$461$			3.85819i			0.179694i	0.995956	+	0.0898470i	$0.0286378\pi$
$461$			3.85819i			0.179694i	−0.995956	+	0.0898470i	$0.971362\pi$
$462$	−19.4013	−	3.77078i	−0.902631	−	0.175433i
$463$	2.18558	−	1.26184i	0.101572	−	0.0586429i	−0.448353	−	0.893856i	$-0.647989\pi$
$463$	2.18558	−	1.26184i	0.101572	−	0.0586429i	0.549926	+	0.835214i	$0.314656\pi$
$464$	2.70952	−	2.70952i	0.125786	−	0.125786i
$465$	12.3164	+	10.7060i	0.571157	+	0.496477i
$466$	23.1405	+	13.3602i	1.07196	+	0.618899i
$467$	−9.94956	+	2.66598i	−0.460411	+	0.123367i	−0.481567	−	0.876410i	$-0.659932\pi$
$467$	−9.94956	+	2.66598i	−0.460411	+	0.123367i	0.0211559	+	0.999776i	$0.493265\pi$
$468$	−2.88319	−	20.5083i	−0.133276	−	0.947996i
$469$	8.10025	+	14.0300i	0.374035	+	0.647847i
$470$	2.39495	+	8.93806i	0.110471	+	0.412282i
$471$	1.40854	−	7.24717i	0.0649020	−	0.333932i
$472$	−9.00423	−	5.19860i	−0.414453	−	0.239285i
$473$	−24.0095	+	41.5857i	−1.10396	+	1.91211i
$474$	0.208509	+	0.309113i	0.00957715	+	0.0141980i
$475$	−2.78089	−	1.60555i	−0.127596	−	0.0736677i
$476$	8.29522	+	14.3677i	0.380211	+	0.658545i
$477$	−0.212973	−	0.160472i	−0.00975137	−	0.00734750i
$478$	10.0198	+	2.68480i	0.458296	+	0.122800i
$479$	8.94565			0.408737			0.204369	−	0.978894i	$-0.434486\pi$
$479$	8.94565			0.408737			0.204369	+	0.978894i	$0.434486\pi$
$480$	2.65842	+	2.31083i	0.121340	+	0.105474i
$481$	−8.37289	+	2.24351i	−0.381771	+	0.102295i
$482$	−14.3817	+	3.85357i	−0.655069	+	0.175525i
$483$	10.4433	−	21.4131i	0.475184	−	0.974328i
$484$	−2.32749	−	4.03134i	−0.105795	−	0.183243i
$485$			27.8364i			1.26398i
$486$	−12.7683	+	8.94261i	−0.579182	+	0.405645i
$487$		−	17.4677i		−	0.791537i	−0.918350	−	0.395768i	$-0.870478\pi$
$487$		−	17.4677i		−	0.791537i	0.918350	−	0.395768i	$-0.129522\pi$
$488$	−3.97873	−	6.72084i	−0.180109	−	0.304238i
$489$	1.51758	+	21.6954i	0.0686274	+	0.981101i
$490$	−0.693453	−	2.58800i	−0.0313270	−	0.116914i
$491$	−8.87202			−0.400389			−0.200194	−	0.979756i	$-0.564157\pi$
$491$	−8.87202			−0.400389			−0.200194	+	0.979756i	$0.564157\pi$
$492$	2.41871	−	1.63152i	0.109044	−	0.0735547i
$493$	−19.0897	−	11.0215i	−0.859759	−	0.496382i
$494$	−6.63819	−	24.7741i	−0.298666	−	1.11464i
$495$	9.43293	+	22.2198i	0.423979	+	0.998707i
$496$	3.27599	+	3.27599i	0.147096	+	0.147096i
$497$			12.4159i			0.556928i
$498$	11.2445	+	2.18546i	0.503880	+	0.0979326i
$499$	8.60220	+	8.60220i	0.385087	+	0.385087i	0.872931	−	0.487844i	$-0.162216\pi$
$499$	8.60220	+	8.60220i	0.385087	+	0.385087i	−0.487844	+	0.872931i	$0.662216\pi$
$500$	10.3281	−	5.96294i	0.461887	−	0.266671i
$501$	−2.66366	+	5.46163i	−0.119004	+	0.244008i
$502$	13.2526	−	7.65138i	0.591491	−	0.341498i
$503$	33.5437	+	19.3665i	1.49564	+	0.863509i	0.999987	−	0.00501189i	$-0.00159534\pi$
$503$	33.5437	+	19.3665i	1.49564	+	0.863509i	0.495653	+	0.868520i	$0.334929\pi$
$504$	8.02215	+	3.24074i	0.357335	+	0.144354i
$505$	−4.87145	+	18.1805i	−0.216777	+	0.809022i
$506$	18.2275	−	4.88405i	0.810312	−	0.217122i
$507$	−33.5670	−	49.7628i	−1.49076	−	2.21004i
$508$	7.48001			0.331872
$509$	5.16202	+	19.2649i	0.228802	+	0.853902i	0.980845	+	0.194788i	$0.0624019\pi$
$509$	5.16202	+	19.2649i	0.228802	+	0.853902i	−0.752043	+	0.659114i	$0.770931\pi$
$510$	8.88219	−	18.2122i	0.393310	−	0.806451i
$511$	25.7035	−	25.7035i	1.13706	−	1.13706i
$512$	0.707107	+	0.707107i	0.0312500	+	0.0312500i
$513$	−14.3458	+	12.9188i	−0.633382	+	0.570377i
$514$	−26.7125	−	7.15758i	−1.17824	−	0.315707i
$515$	15.5761			0.686367
$516$	13.7905	−	15.8648i	0.607091	−	0.698410i
$517$	−4.65958	+	17.3898i	−0.204928	+	0.764803i
$518$	0.937272	−	3.49795i	0.0411814	−	0.153691i
$519$	6.42441	−	33.0547i	0.282000	−	1.45094i
$520$	13.5605	+	3.63354i	0.594669	+	0.159341i
$521$	4.12721	+	4.12721i	0.180816	+	0.180816i	0.791711	−	0.610895i	$-0.209190\pi$
$521$	4.12721	+	4.12721i	0.180816	+	0.180816i	−0.610895	+	0.791711i	$0.709190\pi$
$522$	−11.3836	+	1.60038i	−0.498245	+	0.0700467i
$523$	3.16418	−	11.8089i	0.138360	−	0.516367i	−0.861601	−	0.507585i	$-0.830538\pi$
$523$	3.16418	−	11.8089i	0.138360	−	0.516367i	0.999961	−	0.00878120i	$-0.00279518\pi$
$524$	−7.48691	−	12.9677i	−0.327067	−	0.566497i
$525$	2.83235	−	3.25839i	0.123614	−	0.142208i
$526$	6.61525	+	6.61525i	0.288439	+	0.288439i
$527$	13.3257	−	23.0808i	0.580477	−	1.00541i
$528$	2.23130	+	6.47968i	0.0971047	+	0.281992i
$529$		−	0.253507i		−	0.0110220i
$530$	0.156548	−	0.0903828i	0.00679999	−	0.00392598i
$531$	12.1888	+	28.7114i	0.528949	+	1.24597i
$532$	10.3499	+	2.77324i	0.448724	+	0.120235i
$533$	5.81412	−	10.0704i	0.251838	−	0.436195i
$534$	−9.09721	+	18.6531i	−0.393675	+	0.807199i
$535$	12.1472	+	21.0395i	0.525167	+	0.909616i
$536$	2.80868	−	4.86478i	0.121317	−	0.210126i
$537$	31.2050	−	21.0491i	1.34660	−	0.908334i
$538$	4.65707	−	4.65707i	0.200780	−	0.200780i
$539$	1.34917	−	5.03519i	0.0581130	−	0.216881i
$540$	−2.19773	−	10.3361i	−0.0945751	−	0.444793i
$541$	−22.1564	+	22.1564i	−0.952579	+	0.952579i	−0.998925	−	0.0463465i	$-0.985242\pi$
$541$	−22.1564	+	22.1564i	−0.952579	+	0.952579i	0.0463465	+	0.998925i	$0.485242\pi$
$542$	−0.300769	−	1.12248i	−0.0129191	−	0.0482149i
$543$	20.9251	−	7.20563i	0.897984	−	0.309223i
$544$	2.87629	−	4.98187i	0.123320	−	0.213596i
$545$	−33.4534	+	19.3143i	−1.43299	+	0.827335i
$546$	34.3997	−	2.40624i	1.47217	−	0.102977i
$547$	−6.35501	+	1.70282i	−0.271721	+	0.0728073i	−0.392106	−	0.919920i	$-0.628254\pi$
$547$	−6.35501	+	1.70282i	−0.271721	+	0.0728073i	0.120386	+	0.992727i	$0.461587\pi$
$548$	−4.90645			−0.209593
$549$	−2.60039	+	23.2860i	−0.110982	+	0.993822i
$550$	3.41967			0.145815
$551$	−13.7514	+	3.68467i	−0.585829	+	0.156972i
$552$	−8.24058	+	0.576424i	−0.350743	+	0.0245342i
$553$	−0.537670	+	0.310424i	−0.0228640	+	0.0132006i
$554$	−4.66529	+	8.08052i	−0.198209	+	0.343308i
$555$	−4.18192	+	1.44006i	−0.177513	+	0.0611270i
$556$	−0.474576	−	1.77114i	−0.0201265	−	0.0751132i
$557$	12.3647	−	12.3647i	0.523910	−	0.523910i	−0.394840	−	0.918750i	$-0.629200\pi$
$557$	12.3647	−	12.3647i	0.523910	−	0.523910i	0.918750	+	0.394840i	$0.129200\pi$
$558$	−1.93497	−	13.7635i	−0.0819136	−	0.582656i
$559$	21.6841	−	80.9261i	0.917139	−	3.42281i
$560$	−4.14721	+	4.14721i	−0.175252	+	0.175252i
$561$	32.6826	−	22.0458i	1.37986	−	0.930773i
$562$	−2.38408	+	4.12935i	−0.100566	+	0.174186i
$563$	20.7066	+	35.8649i	0.872679	+	1.51152i	0.859215	+	0.511615i	$0.170953\pi$
$563$	20.7066	+	35.8649i	0.872679	+	1.51152i	0.0134644	+	0.999909i	$0.495714\pi$
$564$	3.45467	−	7.08354i	0.145468	−	0.298271i
$565$	−15.6468	+	27.1011i	−0.658267	+	1.14015i
$566$	21.6043	+	5.78887i	0.908098	+	0.243324i
$567$	−13.3703	−	22.2475i	−0.561502	−	0.934306i
$568$	3.72831	−	2.15254i	0.156436	−	0.0903186i
$569$			22.2126i			0.931202i	0.884995	+	0.465601i	$0.154162\pi$
$569$			22.2126i			0.931202i	−0.884995	+	0.465601i	$0.845838\pi$
$570$	−4.26090	−	12.3737i	−0.178470	−	0.518275i
$571$	0.654910	−	1.13434i	0.0274071	−	0.0474705i	−0.851997	−	0.523547i	$-0.824608\pi$
$571$	0.654910	−	1.13434i	0.0274071	−	0.0474705i	0.879404	+	0.476077i	$0.157942\pi$
$572$	19.3139	+	19.3139i	0.807554	+	0.807554i
$573$	−2.14456	+	2.46715i	−0.0895904	+	0.103067i
$574$	2.42897	+	4.20710i	0.101383	+	0.175601i
$575$	−1.06687	+	3.98162i	−0.0444916	+	0.166045i
$576$	−0.417653	−	2.97079i	−0.0174022	−	0.123783i
$577$	−18.0917	−	18.0917i	−0.753167	−	0.753167i	0.221902	−	0.975069i	$-0.428773\pi$
$577$	−18.0917	−	18.0917i	−0.753167	−	0.753167i	−0.975069	+	0.221902i	$0.928773\pi$
$578$	−15.5438	−	4.16494i	−0.646535	−	0.173239i
$579$	2.29502	−	11.8083i	0.0953778	−	0.490735i
$580$	2.01687	−	7.52708i	0.0837461	−	0.312545i
$581$	−4.93656	+	18.4235i	−0.204803	+	0.764336i
$582$	15.5536	−	17.8931i	0.644716	−	0.741694i
$583$	0.351695			0.0145657
$584$	−12.1746	−	3.26218i	−0.503790	−	0.134990i
$585$	−25.9311	−	33.1873i	−1.07212	−	1.37212i
$586$	−2.07606	−	2.07606i	−0.0857611	−	0.0857611i
$587$	16.4089	−	16.4089i	0.677266	−	0.677266i	−0.282114	−	0.959381i	$-0.591036\pi$
$587$	16.4089	−	16.4089i	0.677266	−	0.677266i	0.959381	+	0.282114i	$0.0910358\pi$
$588$	−1.00029	+	2.05102i	−0.0412515	+	0.0845828i
$589$	−4.45502	−	16.6264i	−0.183566	−	0.685077i
$590$	−21.1442			−0.870493
$591$	15.6262	+	23.1656i	0.642775	+	0.952907i
$592$	−1.21288	+	0.324990i	−0.0498490	+	0.0133570i
$593$	1.80333	−	6.73013i	0.0740540	−	0.276373i	−0.918963	−	0.394343i	$-0.870972\pi$
$593$	1.80333	−	6.73013i	0.0740540	−	0.276373i	0.993017	+	0.117970i	$0.0376387\pi$
$594$	6.35185	−	19.5535i	0.260620	−	0.802289i
$595$	29.2189	+	16.8695i	1.19786	+	0.691584i
$596$	−3.35422	+	1.93656i	−0.137394	+	0.0793245i
$597$	−18.6855	+	38.3132i	−0.764747	+	1.56805i
$598$	−28.5132	+	16.4621i	−1.16599	+	0.673185i
$599$	−1.73411	−	1.73411i	−0.0708540	−	0.0708540i	0.670792	−	0.741646i	$-0.265954\pi$
$599$	−1.73411	−	1.73411i	−0.0708540	−	0.0708540i	−0.741646	+	0.670792i	$0.765954\pi$
$600$	−1.46949	−	0.285606i	−0.0599918	−	0.0116598i
$601$			25.0962i			1.02370i	0.859076	+	0.511848i	$0.171039\pi$
$601$			25.0962i			1.02370i	−0.859076	+	0.511848i	$0.828961\pi$
$602$	24.7496	+	24.7496i	1.00872	+	1.00872i
$603$	−15.5121	+	6.58533i	−0.631703	+	0.268175i
$604$	1.22733	+	4.58047i	0.0499394	+	0.186377i
$605$	−8.19830	−	4.73329i	−0.333308	−	0.192436i
$606$	13.2897	−	8.96445i	0.539857	−	0.364156i
$607$	−5.10821			−0.207336			−0.103668	−	0.994612i	$-0.533058\pi$
$607$	−5.10821			−0.207336			−0.103668	+	0.994612i	$0.533058\pi$
$608$	−0.961594	−	3.58872i	−0.0389978	−	0.145542i
$609$	−1.33564	−	19.0943i	−0.0541227	−	0.773741i
$610$	−13.8412	−	7.79100i	−0.560414	−	0.315448i
$611$		−	31.4111i		−	1.27076i
$612$	−15.8855	+	6.74384i	−0.642134	+	0.272604i
$613$			9.61588i			0.388382i	0.980964	+	0.194191i	$0.0622081\pi$
$613$			9.61588i			0.388382i	−0.980964	+	0.194191i	$0.937792\pi$
$614$	−10.8837	−	18.8511i	−0.439230	−	0.760768i
$615$	2.60084	−	5.33282i	0.104876	−	0.215040i
$616$	−11.0221	+	2.95337i	−0.444095	+	0.118995i
$617$	−14.6288	+	3.91977i	−0.588932	+	0.157804i	−0.540965	−	0.841045i	$-0.681941\pi$
$617$	−14.6288	+	3.91977i	−0.588932	+	0.157804i	−0.0479671	+	0.998849i	$0.515274\pi$
$618$	−10.0123	−	8.70316i	−0.402753	−	0.350092i
$619$	23.7781			0.955722			0.477861	−	0.878436i	$-0.341412\pi$
$619$	23.7781			0.955722			0.477861	+	0.878436i	$0.341412\pi$
$620$	9.10074	+	2.43854i	0.365495	+	0.0979340i
$621$	20.7850	+	13.4959i	0.834072	+	0.541573i
$622$	−4.18172	−	7.24296i	−0.167672	−	0.290416i
$623$	−29.9262	−	17.2779i	−1.19897	−	0.692225i
$624$	−6.68644	−	9.91257i	−0.267672	−	0.396820i
$625$	9.96578	−	17.2612i	0.398631	−	0.690450i
$626$	17.2967	+	9.98623i	0.691313	+	0.399130i
$627$	4.85771	−	24.9937i	0.193998	−	0.998153i
$628$	−1.10320	−	4.11721i	−0.0440226	−	0.164295i
$629$	3.61165	+	6.25556i	0.144006	+	0.249426i
$630$	17.4238	−	2.44955i	0.694180	−	0.0975924i
$631$	−25.5800	+	6.85413i	−1.01832	+	0.272859i	−0.729103	−	0.684404i	$-0.760062\pi$
$631$	−25.5800	+	6.85413i	−1.01832	+	0.272859i	−0.289220	+	0.957263i	$0.593396\pi$
$632$	0.186432	+	0.107636i	0.00741585	+	0.00428154i
$633$	−1.55554	−	1.35215i	−0.0618272	−	0.0537432i
$634$	−7.00741	+	7.00741i	−0.278300	+	0.278300i
$635$	13.1737	−	7.60584i	0.522783	−	0.301829i
$636$	−0.151130	−	0.0293731i	−0.00599268	−	0.00116472i
$637$			9.09501i			0.360358i
$638$	10.7206	−	10.7206i	0.424432	−	0.424432i
$639$	−12.8190	−	1.57340i	−0.507114	−	0.0622426i
$640$	1.96435	+	0.526346i	0.0776478	+	0.0208057i
$641$	−15.0962	−	4.04501i	−0.596264	−	0.159768i	−0.0519494	−	0.998650i	$-0.516543\pi$
$641$	−15.0962	−	4.04501i	−0.596264	−	0.159768i	−0.544314	+	0.838881i	$0.683210\pi$
$642$	3.94765	−	20.3113i	0.155801	−	0.801624i
$643$	11.1313	−	11.1313i	0.438975	−	0.438975i	−0.452692	−	0.891667i	$-0.649536\pi$
$643$	11.1313	−	11.1313i	0.438975	−	0.438975i	0.891667	+	0.452692i	$0.149536\pi$
$644$		−	13.7548i		−	0.542014i
$645$	8.15588	−	41.9634i	0.321138	−	1.65231i
$646$	−18.5092	+	10.6863i	−0.728236	+	0.420447i
$647$	−14.7831	+	14.7831i	−0.581182	+	0.581182i	−0.935228	−	0.354046i	$-0.884806\pi$
$647$	−14.7831	+	14.7831i	−0.581182	+	0.581182i	0.354046	+	0.935228i	$0.384806\pi$
$648$	−4.36258	+	7.87197i	−0.171378	+	0.309240i
$649$	−35.6265	−	20.5690i	−1.39846	−	0.807402i
$650$	−5.76315	+	1.54423i	−0.226049	+	0.0605698i
$651$	23.0863	−	1.61487i	0.904824	−	0.0632919i
$652$	6.27824	+	10.8742i	0.245875	+	0.425867i
$653$	8.97227	+	33.4850i	0.351112	+	1.31037i	0.885307	+	0.465007i	$0.153948\pi$
$653$	8.97227	+	33.4850i	0.351112	+	1.31037i	−0.534195	+	0.845361i	$0.679385\pi$
$654$	32.2956	+	6.27688i	1.26286	+	0.245446i
$655$	−26.3717	−	15.2257i	−1.03043	−	0.594918i
$656$	0.842221	−	1.45877i	0.0328832	−	0.0569554i
$657$	23.2809	+	29.7955i	0.908275	+	1.16243i
$658$	11.3645	+	6.56131i	0.443035	+	0.255786i
$659$	−13.5828	−	23.5262i	−0.529112	−	0.916449i	−0.999424	−	0.0339484i	$-0.989192\pi$
$659$	−13.5828	−	23.5262i	−0.529112	−	0.916449i	0.470312	−	0.882500i	$-0.344142\pi$
$660$	10.5184	+	9.14311i	0.409429	+	0.355895i
$661$	35.3449	+	9.47063i	1.37476	+	0.368365i	0.869214	−	0.494437i	$-0.164626\pi$
$661$	35.3449	+	9.47063i	1.37476	+	0.368365i	0.505543	+	0.862801i	$0.331292\pi$
$662$	12.1239			0.471208
$663$	−45.1245	+	51.9122i	−1.75249	+	2.01610i
$664$	6.38817	−	1.71170i	0.247909	−	0.0664270i
$665$	21.0480	−	5.63979i	0.816206	−	0.218702i
$666$	3.49276	+	1.41098i	0.135342	+	0.0546745i
$667$	9.13765	+	15.8269i	0.353811	+	0.612819i
$668$			3.50830i			0.135740i
$669$	−2.83833	−	8.24252i	−0.109736	−	0.318674i
$670$		−	11.4237i		−	0.441337i
$671$	−15.7424	−	26.5919i	−0.607729	−	1.02657i
$672$	4.98307	−	0.348562i	0.192226	−	0.0134461i
$673$	−10.6883	−	39.8894i	−0.412005	−	1.53763i	−0.790759	−	0.612128i	$-0.790314\pi$
$673$	−10.6883	−	39.8894i	−0.412005	−	1.53763i	0.378754	−	0.925498i	$-0.376353\pi$
$674$	−7.24161			−0.278936
$675$	3.00527	+	3.33724i	0.115673	+	0.128450i
$676$	−30.0128	−	17.3279i	−1.15434	−	0.666458i
$677$	10.8755	+	40.5879i	0.417979	+	1.55992i	0.778793	+	0.627281i	$0.215832\pi$
$677$	10.8755	+	40.5879i	0.417979	+	1.55992i	−0.360814	+	0.932638i	$0.617501\pi$
$678$	25.2004	−	8.67784i	0.967817	−	0.333270i
$679$	27.9138	+	27.9138i	1.07123	+	1.07123i
$680$		−	11.6987i		−	0.448624i
$681$	−1.55879	+	8.02025i	−0.0597330	+	0.307336i
$682$	12.9619	+	12.9619i	0.496337	+	0.496337i
$683$	−27.3819	+	15.8090i	−1.04774	+	0.604914i	−0.922016	−	0.387152i	$-0.873459\pi$
$683$	−27.3819	+	15.8090i	−1.04774	+	0.604914i	−0.125725	+	0.992065i	$0.540126\pi$
$684$	−4.17488	+	10.3345i	−0.159630	+	0.395150i
$685$	−8.64118	+	4.98899i	−0.330163	+	0.190619i
$686$	14.1928	+	8.19420i	0.541883	+	0.312856i
$687$	10.9624	+	5.34640i	0.418240	+	0.203978i
$688$	3.14111	−	11.7228i	0.119754	−	0.446927i
$689$	−0.592710	+	0.158816i	−0.0225805	+	0.00605041i
$690$	−13.9271	+	9.39440i	−0.530196	+	0.357639i
$691$	−30.9461			−1.17724			−0.588622	−	0.808409i	$-0.700329\pi$
$691$	−30.9461			−1.17724			−0.588622	+	0.808409i	$0.700329\pi$
$692$	−5.03176	−	18.7788i	−0.191279	−	0.713862i
$693$	31.7408	+	12.8224i	1.20573	+	0.487084i
$694$	−5.60036	+	5.60036i	−0.212587	+	0.212587i
$695$	−2.63676	−	2.63676i	−0.100018	−	0.100018i
$696$	−5.50219	+	3.71145i	−0.208560	+	0.140682i
$697$	−9.35970	−	2.50792i	−0.354524	−	0.0949944i
$698$	−7.95467			−0.301089
$699$	−34.9294	−	30.3623i	−1.32115	−	1.14841i
$700$	0.645135	−	2.40768i	0.0243838	−	0.0910016i
$701$	−6.81173	+	25.4217i	−0.257276	+	0.960166i	0.709535	+	0.704670i	$0.248905\pi$
$701$	−6.81173	+	25.4217i	−0.257276	+	0.960166i	−0.966810	+	0.255495i	$0.917762\pi$
$702$	−1.87491	+	35.8217i	−0.0707641	+	1.35200i
$703$	4.50623	+	1.20744i	0.169956	+	0.0455394i
$704$	2.79777	+	2.79777i	0.105445	+	0.105445i
$705$	−1.11837	−	15.9882i	−0.0421201	−	0.602152i
$706$	1.19604	−	4.46368i	0.0450135	−	0.167993i
$707$	13.3461	+	23.1161i	0.501930	+	0.869369i
$708$	13.5914	+	11.8143i	0.510797	+	0.444009i
$709$	−18.8394	−	18.8394i	−0.707527	−	0.707527i	0.258488	−	0.966015i	$-0.416776\pi$
$709$	−18.8394	−	18.8394i	−0.707527	−	0.707527i	−0.966015	+	0.258488i	$0.916776\pi$
$710$	4.37750	−	7.58206i	0.164285	−	0.284550i
$711$	−0.252368	−	0.594467i	−0.00946453	−	0.0222943i
$712$			11.9819i			0.449040i
$713$	−19.1358	+	11.0480i	−0.716640	+	0.413752i
$714$	−9.35597	−	27.1697i	−0.350138	−	1.01680i
$715$	53.6541	+	14.3766i	2.00655	+	0.537654i
$716$	10.8659	−	18.8203i	0.406078	−	0.703348i
$717$	−16.1489	−	7.87587i	−0.603090	−	0.294130i
$718$	13.1474	+	22.7719i	0.490656	+	0.849841i
$719$	7.50580	−	13.0004i	0.279919	−	0.484834i	−0.691445	−	0.722429i	$-0.743026\pi$
$719$	7.50580	−	13.0004i	0.279919	−	0.484834i	0.971364	+	0.237595i	$0.0763590\pi$
$720$	−3.75633	−	4.80743i	−0.139990	−	0.179162i
$721$	15.6194	−	15.6194i	0.581698	−	0.581698i
$722$	1.34494	−	5.01938i	0.0500534	−	0.186802i
$723$	25.7257	−	1.79950i	0.956750	−	0.0669240i
$724$	9.03496	−	9.03496i	0.335782	−	0.335782i
$725$	0.857160	+	3.19897i	0.0318341	+	0.118807i
$726$	2.62512	+	7.62335i	0.0974273	+	0.282929i
$727$	25.7191	−	44.5468i	0.953869	−	1.65215i	0.216935	−	0.976186i	$-0.430394\pi$
$727$	25.7191	−	44.5468i	0.953869	−	1.65215i	0.736934	−	0.675964i	$-0.236273\pi$
$728$	17.2419	−	9.95460i	0.639027	−	0.368942i
$729$	24.6642	−	10.9852i	0.913491	−	0.406860i
$730$	−24.7589	+	6.63412i	−0.916367	+	0.245540i
$731$	−69.8150			−2.58220
$732$	4.54386	+	12.7418i	0.167946	+	0.470950i
$733$	44.4101			1.64033			0.820163	−	0.572130i	$-0.193883\pi$
$733$	44.4101			1.64033			0.820163	+	0.572130i	$0.193883\pi$
$734$	−16.6454	+	4.46013i	−0.614394	+	0.164626i
$735$	0.323821	+	4.62936i	0.0119443	+	0.170757i
$736$	−4.13036	+	2.38466i	−0.152247	+	0.0878999i
$737$	11.1129	−	19.2482i	0.409350	−	0.709015i
$738$	−4.65152	+	1.97470i	−0.171225	+	0.0726897i
$739$	8.61701	+	32.1591i	0.316982	+	1.18299i	0.922130	+	0.386879i	$0.126447\pi$
$739$	8.61701	+	32.1591i	0.316982	+	1.18299i	−0.605149	+	0.796113i	$0.706886\pi$
$740$	−1.80565	+	1.80565i	−0.0663770	+	0.0663770i
$741$	3.09983	+	44.3154i	0.113875	+	1.62797i
$742$	0.0663487	−	0.247617i	0.00243574	−	0.00909030i
$743$	−13.0710	+	13.0710i	−0.479528	+	0.479528i	−0.904981	−	0.425453i	$-0.860115\pi$
$743$	−13.0710	+	13.0710i	−0.479528	+	0.479528i	0.425453	+	0.904981i	$0.360115\pi$
$744$	−4.48740	−	6.65252i	−0.164516	−	0.243893i
$745$	−3.93827	+	6.82129i	−0.144287	+	0.249913i
$746$	−6.92460	−	11.9938i	−0.253527	−	0.439122i
$747$	−18.3962	−	7.43158i	−0.673081	−	0.271907i
$748$	11.3804	−	19.7115i	0.416110	−	0.720723i
$749$	33.2789	+	8.91706i	1.21598	+	0.325822i
$750$	−19.5307	+	6.72545i	−0.713160	+	0.245579i
$751$	−24.6821	+	14.2502i	−0.900663	+	0.519998i	−0.877415	−	0.479732i	$-0.840734\pi$
$751$	−24.6821	+	14.2502i	−0.900663	+	0.519998i	−0.0232480	+	0.999730i	$0.507401\pi$
$752$		−	4.55014i		−	0.165926i
$753$	−25.0609	+	8.62979i	−0.913270	+	0.314487i
$754$	−13.2262	+	22.9085i	−0.481670	+	0.834277i
$755$	6.81909	+	6.81909i	0.248172	+	0.248172i
$756$	−12.5686	−	8.16097i	−0.457117	−	0.296811i
$757$	1.61666	+	2.80015i	0.0587587	+	0.101773i	0.893908	−	0.448250i	$-0.147952\pi$
$757$	1.61666	+	2.80015i	0.0587587	+	0.101773i	−0.835150	+	0.550023i	$0.814619\pi$
$758$	9.29906	−	34.7046i	0.337757	−	1.26053i
$759$	−32.6050	+	2.28070i	−1.18349	+	0.0827842i
$760$	−5.34264	−	5.34264i	−0.193798	−	0.193798i
$761$	−13.2807	−	3.55856i	−0.481426	−	0.128998i	0.00994058	−	0.999951i	$-0.496836\pi$
$761$	−13.2807	−	3.55856i	−0.481426	−	0.128998i	−0.491367	+	0.870953i	$0.663502\pi$
$762$	−12.7178	−	2.47179i	−0.460717	−	0.0895435i
$763$	−14.1784	+	52.9145i	−0.513292	+	1.91563i
$764$	−0.488475	+	1.82302i	−0.0176724	+	0.0659544i
$765$	−21.1201	+	28.0299i	−0.763598	+	1.01342i
$766$	24.1245			0.871655
$767$	69.3295	+	18.5768i	2.50334	+	0.670768i
$768$	−0.968583	−	1.43591i	−0.0349507	−	0.0518141i
$769$	−10.9152	−	10.9152i	−0.393612	−	0.393612i	0.482360	−	0.875973i	$-0.339780\pi$
$769$	−10.9152	−	10.9152i	−0.393612	−	0.393612i	−0.875973	+	0.482360i	$0.839780\pi$
$770$	−16.4090	+	16.4090i	−0.591340	+	0.591340i
$771$	43.0522	+	20.9968i	1.55049	+	0.756180i
$772$	−1.79752	−	6.70844i	−0.0646942	−	0.241442i
$773$	52.6514			1.89374			0.946869	−	0.321620i	$-0.104227\pi$
$773$	52.6514			1.89374			0.946869	+	0.321620i	$0.104227\pi$
$774$	−28.6896	+	22.4169i	−1.03123	+	0.805757i
$775$	−3.86777	+	1.03636i	−0.138934	+	0.0372273i
$776$	3.54269	−	13.2215i	0.127175	−	0.474625i
$777$	−2.74949	+	5.63761i	−0.0986374	+	0.202248i
$778$	−14.2761	−	8.24234i	−0.511825	−	0.295502i
$779$	−5.41979	+	3.12912i	−0.194184	+	0.112112i
$780$	−21.8554	−	10.6590i	−0.782549	−	0.381653i
$781$	14.7516	−	8.51683i	0.527853	−	0.304756i
$782$	19.4001	+	19.4001i	0.693747	+	0.693747i
$783$	19.8836	+	1.04071i	0.710582	+	0.0371920i
$784$			1.31748i			0.0470530i
$785$	−6.12942	−	6.12942i	−0.218768	−	0.218768i
$786$	8.44430	+	24.5222i	0.301198	+	0.874679i
$787$	−3.75685	−	14.0207i	−0.133917	−	0.499786i	0.866083	−	0.499901i	$-0.166630\pi$
$787$	−3.75685	−	14.0207i	−0.133917	−	0.499786i	−1.00000		0.000114821i	$0.999963\pi$
$788$	13.9716	+	8.06652i	0.497718	+	0.287358i
$789$	−9.06146	−	13.4335i	−0.322596	−	0.478246i
$790$	0.437788			0.0155758
$791$	11.4861	+	42.8668i	0.408399	+	1.52417i
$792$	−1.65250	−	11.7543i	−0.0587191	−	0.417672i
$793$	38.5388	+	37.7064i	1.36855	+	1.33899i
$794$			4.06197i			0.144154i
$795$	−0.296035	+	0.101940i	−0.0104993	+	0.00361545i
$796$			24.6106i			0.872300i
$797$	4.14995	+	7.18792i	0.146999	+	0.254609i	0.930117	−	0.367264i	$-0.119705\pi$
$797$	4.14995	+	7.18792i	0.146999	+	0.254609i	−0.783118	+	0.621873i	$0.786372\pi$
$798$	−16.6808	−	8.13531i	−0.590494	−	0.287987i
$799$	−25.2831	+	6.77459i	−0.894452	+	0.239668i
$800$	−0.834838	+	0.223694i	−0.0295160	+	0.00790878i
$801$	21.6314	−	28.7085i	0.764307	−	1.01436i
$802$	11.2528			0.397351
$803$	−48.1706	−	12.9073i	−1.69990	−	0.455488i
$804$	−6.38300	+	7.34313i	−0.225111	+	0.258972i
$805$	−13.9862	−	24.2247i	−0.492947	−	0.853810i
$806$	−27.6979	−	15.9914i	−0.975616	−	0.563272i
$807$	−9.45705	+	6.37917i	−0.332904	+	0.224557i
$808$	4.62761	−	8.01526i	0.162799	−	0.281976i
$809$	−1.38069	−	0.797140i	−0.0485424	−	0.0280260i	0.475532	−	0.879698i	$-0.342255\pi$
$809$	−1.38069	−	0.797140i	−0.0485424	−	0.0280260i	−0.524075	+	0.851672i	$0.675589\pi$
$810$	0.321072	+	18.3000i	0.0112813	+	0.642996i
$811$	4.07068	+	15.1920i	0.142941	+	0.533463i	0.999838	+	0.0179760i	$0.00572226\pi$
$811$	4.07068	+	15.1920i	0.142941	+	0.533463i	−0.856897	+	0.515487i	$0.827611\pi$
$812$	−5.52552	−	9.57049i	−0.193908	−	0.335858i
$813$	0.140450	+	2.00788i	0.00492579	+	0.0704194i
$814$	−4.79892	+	1.28587i	−0.168202	+	0.0450696i
$815$	22.1143	+	12.7677i	0.774630	+	0.447233i
$816$	−6.53664	+	7.51988i	−0.228828	+	0.263249i
$817$	−31.8836	+	31.8836i	−1.11547	+	1.11547i
$818$	6.06410	−	3.50111i	0.212026	−	0.122413i
$819$	−59.2828	−	7.27630i	−2.07151	−	0.254255i
$820$		−	3.42556i		−	0.119626i
$821$	6.64192	−	6.64192i	0.231805	−	0.231805i	−0.581641	−	0.813446i	$-0.697589\pi$
$821$	6.64192	−	6.64192i	0.231805	−	0.231805i	0.813446	+	0.581641i	$0.197589\pi$
$822$	8.34212	+	1.62135i	0.290965	+	0.0565511i
$823$	−46.9822	−	12.5889i	−1.63770	−	0.438820i	−0.681566	−	0.731756i	$-0.738701\pi$
$823$	−46.9822	−	12.5889i	−1.63770	−	0.438820i	−0.956132	+	0.292937i	$0.905368\pi$
$824$	−7.39824	−	1.98235i	−0.257730	−	0.0690585i
$825$	−5.81425	−	1.13004i	−0.202426	−	0.0393430i
$826$	−21.2030	+	21.2030i	−0.737746	+	0.737746i
$827$		−	27.1774i		−	0.945052i	−0.881317	−	0.472526i	$-0.843342\pi$
$827$		−	27.1774i		−	0.945052i	0.881317	−	0.472526i	$-0.156658\pi$
$828$	14.2014	+	1.74307i	0.493533	+	0.0605758i
$829$	−11.6338	+	6.71676i	−0.404058	+	0.233283i	−0.688233	−	0.725489i	$-0.741613\pi$
$829$	−11.6338	+	6.71676i	−0.404058	+	0.233283i	0.284176	+	0.958772i	$0.408280\pi$
$830$	9.51027	−	9.51027i	0.330106	−	0.330106i
$831$	10.6023	−	12.1971i	0.367790	−	0.423114i
$832$	−5.97845	−	3.45166i	−0.207265	−	0.119665i
$833$	7.32068	−	1.96157i	0.253646	−	0.0679644i
$834$	0.221613	+	3.16818i	0.00767381	+	0.109705i
$835$	3.56732	+	6.17878i	0.123452	+	0.213825i
$836$	−3.80468	−	14.1993i	−0.131588	−	0.491092i
$837$	−1.25829	+	24.0406i	−0.0434929	+	0.830966i
$838$	0.0981126	+	0.0566453i	0.00338924	+	0.00195678i
$839$	22.0022	−	38.1089i	0.759600	−	1.31567i	−0.183454	−	0.983028i	$-0.558728\pi$
$839$	22.0022	−	38.1089i	0.759600	−	1.31567i	0.943055	−	0.332638i	$-0.107939\pi$
$840$	8.42169	−	5.68078i	0.290576	−	0.196005i
$841$	−12.3989	−	7.15850i	−0.427548	−	0.246845i
$842$	7.85944	+	13.6130i	0.270854	+	0.469133i
$843$	5.41806	−	6.23304i	0.186608	−	0.214677i
$844$	−1.14941	−	0.307985i	−0.0395645	−	0.0106013i
$845$	−70.4777			−2.42451
$846$	−8.21453	+	10.9021i	−0.282421	+	0.374821i
$847$	−12.9676	+	3.47465i	−0.445570	+	0.119390i
$848$	−0.0858587	+	0.0230058i	−0.00294840	+	0.000790021i
$849$	−34.8195	−	16.9816i	−1.19500	−	0.582809i
$850$	2.48594	+	4.30577i	0.0852670	+	0.147687i
$851$		−	5.98868i		−	0.205289i
$852$	−7.05032	+	2.42780i	−0.241540	+	0.0831749i
$853$			5.58551i			0.191244i	0.995418	+	0.0956221i	$0.0304840\pi$
$853$			5.58551i			0.191244i	−0.995418	+	0.0956221i	$0.969516\pi$
$854$	−21.6923	+	6.06702i	−0.742297	+	0.207609i
$855$	3.15563	+	22.4462i	0.107920	+	0.767642i
$856$	−3.09190	−	11.5391i	−0.105679	−	0.394399i
$857$	−54.2697			−1.85382			−0.926908	−	0.375288i	$-0.877544\pi$
$857$	−54.2697			−1.85382			−0.926908	+	0.375288i	$0.877544\pi$
$858$	−26.4558	−	39.2205i	−0.903187	−	1.33896i
$859$	9.75814	+	5.63386i	0.332943	+	0.192225i	0.657147	−	0.753762i	$-0.271763\pi$
$859$	9.75814	+	5.63386i	0.332943	+	0.192225i	−0.324204	+	0.945987i	$0.605096\pi$
$860$	−6.38790	−	23.8400i	−0.217826	−	0.812936i
$861$	−2.73957	−	7.95572i	−0.0933644	−	0.271130i
$862$	4.80389	+	4.80389i	0.163621	+	0.163621i
$863$		−	18.4913i		−	0.629451i	−0.949183	−	0.314726i	$-0.898087\pi$
$863$		−	18.4913i		−	0.629451i	0.949183	−	0.314726i	$-0.101913\pi$
$864$	−0.271596	+	5.18905i	−0.00923989	+	0.176535i
$865$	−27.9566	−	27.9566i	−0.950552	−	0.950552i
$866$	−35.4746	+	20.4813i	−1.20548	+	0.695981i
$867$	25.0517	+	12.2179i	0.850802	+	0.414940i
$868$	11.5714	−	6.68073i	0.392758	−	0.226759i
$869$	0.737642	+	0.425878i	0.0250228	+	0.0144469i
$870$	−5.91650	+	12.1313i	−0.200588	+	0.411290i
$871$	−10.0366	+	37.4571i	−0.340077	+	1.26919i
$872$	18.3476	−	4.91622i	0.621327	−	0.166484i
$873$	−32.3575	+	25.2828i	−1.09514	+	0.855694i
$874$	17.7196			0.599373
$875$	−8.90190	−	33.2223i	−0.300939	−	1.12312i
$876$	19.6217	+	9.56962i	0.662957	+	0.323327i
$877$	15.2282	−	15.2282i	0.514219	−	0.514219i	−0.401597	−	0.915816i	$-0.631545\pi$
$877$	15.2282	−	15.2282i	0.514219	−	0.514219i	0.915816	+	0.401597i	$0.131545\pi$
$878$	22.8520	+	22.8520i	0.771218	+	0.771218i
$879$	2.84375	+	4.21582i	0.0959172	+	0.142196i
$880$	7.77222	+	2.08256i	0.262002	+	0.0702031i
$881$	42.0588			1.41700			0.708498	−	0.705713i	$-0.249373\pi$
$881$	42.0588			1.41700			0.708498	+	0.705713i	$0.249373\pi$
$882$	2.37850	−	3.15668i	0.0800884	−	0.106291i
$883$	−11.6156	+	43.3500i	−0.390896	+	1.45884i	0.437764	+	0.899090i	$0.355770\pi$
$883$	−11.6156	+	43.3500i	−0.390896	+	1.45884i	−0.828660	+	0.559753i	$0.810896\pi$
$884$	−10.2782	+	38.3587i	−0.345693	+	1.29014i
$885$	35.9501	+	6.98716i	1.20845	+	0.234871i
$886$	16.4773	+	4.41509i	0.553567	+	0.148328i
$887$	−21.2112	−	21.2112i	−0.712203	−	0.712203i	0.254793	−	0.966996i	$-0.417993\pi$
$887$	−21.2112	−	21.2112i	−0.712203	−	0.712203i	−0.966996	+	0.254793i	$0.917993\pi$
$888$	2.16957	−	0.151760i	0.0728061	−	0.00509274i
$889$	5.58334	−	20.8373i	0.187259	−	0.698861i
$890$	12.1835	+	21.1024i	0.408390	+	0.707353i
$891$	−17.2611	+	31.1465i	−0.578270	+	1.04345i
$892$	−3.55892	−	3.55892i	−0.119161	−	0.119161i
$893$	−8.45259	+	14.6403i	−0.282855	+	0.489920i
$894$	6.34290	−	2.18419i	0.212138	−	0.0730504i
$895$		−	44.1948i		−	1.47727i
$896$	2.49762	−	1.44200i	0.0834397	−	0.0481739i
$897$	53.9191	−	18.5672i	1.80031	−	0.619940i
$898$	39.0311	+	10.4584i	1.30248	+	0.349000i
$899$	−8.87637	+	15.3743i	−0.296043	+	0.512762i
$900$	2.40410	+	0.971196i	0.0801368	+	0.0323732i
$901$	0.255666	+	0.442826i	0.00851746	+	0.0147527i
$902$	3.33236	−	5.77182i	0.110956	−	0.192181i
$903$	−33.9015	−	50.2587i	−1.12817	−	1.67250i
$904$	10.8809	−	10.8809i	0.361894	−	0.361894i
$905$	6.72531	−	25.0992i	0.223557	−	0.834326i
$906$	−0.573127	−	8.19345i	−0.0190409	−	0.272209i
$907$	−3.74637	+	3.74637i	−0.124396	+	0.124396i	−0.766564	−	0.642168i	$-0.778035\pi$
$907$	−3.74637	+	3.74637i	−0.124396	+	0.124396i	0.642168	+	0.766564i	$0.278035\pi$
$908$	1.22089	+	4.55641i	0.0405165	+	0.151210i
$909$	−25.5580	+	10.8501i	−0.847704	+	0.359874i
$910$	20.2441	−	35.0639i	0.671086	−	1.16236i
$911$	27.8944	−	16.1048i	0.924182	−	0.533577i	0.0392150	−	0.999231i	$-0.487514\pi$
$911$	27.8944	−	16.1048i	0.924182	−	0.533577i	0.884967	+	0.465654i	$0.154181\pi$
$912$	0.449035	+	6.41943i	0.0148690	+	0.212568i
$913$	25.2757	−	6.77260i	0.836503	−	0.224140i
$914$	16.1627			0.534615
$915$	20.9587	+	17.8204i	0.692875	+	0.589124i
$916$	7.04172			0.232665
$917$	−41.7131	+	11.1770i	−1.37749	+	0.369097i
$918$	29.2376	−	6.21671i	0.964986	−	0.205182i
$919$	−15.7610	+	9.09964i	−0.519909	+	0.300170i	−0.736897	−	0.676005i	$-0.763710\pi$
$919$	−15.7610	+	9.09964i	−0.519909	+	0.300170i	0.216988	+	0.976174i	$0.430377\pi$
$920$	−4.84956	+	8.39969i	−0.159885	+	0.276929i
$921$	12.2754	+	35.6478i	0.404489	+	1.17464i
$922$	−0.998574	−	3.72673i	−0.0328863	−	0.122733i
$923$	−21.0148	+	21.0148i	−0.691709	+	0.691709i
$924$	19.7162	−	1.37914i	0.648615	−	0.0453702i
$925$	0.280885	−	1.04828i	0.00923544	−	0.0344671i
$926$	−1.78452	+	1.78452i	−0.0586429	+	0.0586429i
$927$	14.1473	+	18.1060i	0.464657	+	0.594679i
$928$	−1.91592	+	3.31847i	−0.0628931	+	0.108934i
$929$	18.0413	+	31.2485i	0.591916	+	1.02523i	0.993974	+	0.109614i	$0.0349616\pi$
$929$	18.0413	+	31.2485i	0.591916	+	1.02523i	−0.402058	+	0.915614i	$0.631705\pi$
$930$	−14.6676	−	7.15345i	−0.480969	−	0.234571i
$931$	2.44743	−	4.23908i	0.0802114	−	0.138930i
$932$	−25.8099	−	6.91574i	−0.845432	−	0.226533i
$933$	4.71646	+	13.6966i	0.154410	+	0.448406i
$934$	8.92053	−	5.15027i	0.291889	−	0.168522i
$935$		−	46.2875i		−	1.51376i
$936$	8.09288	+	19.0633i	0.264524	+	0.623102i
$937$	−9.81286	+	16.9964i	−0.320572	+	0.555247i	−0.980606	−	0.195988i	$-0.937208\pi$
$937$	−9.81286	+	16.9964i	−0.320572	+	0.555247i	0.660034	+	0.751236i	$0.270542\pi$
$938$	−11.4555	−	11.4555i	−0.374035	−	0.374035i
$939$	−26.1084	−	22.6947i	−0.852016	−	0.740612i
$940$	−4.62668	−	8.01365i	−0.150906	−	0.261376i
$941$	4.39686	−	16.4093i	0.143333	−	0.534928i	−0.856491	−	0.516163i	$-0.827360\pi$
$941$	4.39686	−	16.4093i	0.143333	−	0.534928i	0.999824	−	0.0187648i	$-0.00597338\pi$
$942$	0.515162	+	7.36478i	0.0167849	+	0.239958i
$943$	5.68065	+	5.68065i	0.184988	+	0.184988i
$944$	10.0429	+	2.69099i	0.326869	+	0.0875843i
$945$	−30.4340	−	1.59292i	−0.990018	−	0.0518178i
$946$	12.4282	−	46.3828i	0.404076	−	1.50803i
$947$	4.43764	−	16.5615i	0.144204	−	0.538176i	−0.855586	−	0.517661i	$-0.826803\pi$
$947$	4.43764	−	16.5615i	0.144204	−	0.538176i	0.999790	−	0.0205148i	$-0.00653051\pi$
$948$	−0.281409	−	0.244614i	−0.00913974	−	0.00794469i
$949$	87.0102			2.82447
$950$	3.10169	+	0.831094i	0.100632	+	0.0269643i
$951$	14.2299	−	9.59863i	0.461435	−	0.311257i
$952$	−11.7312	−	11.7312i	−0.380211	−	0.380211i
$953$	25.5315	−	25.5315i	0.827047	−	0.827047i	−0.160060	−	0.987107i	$-0.551169\pi$
$953$	25.5315	−	25.5315i	0.827047	−	0.827047i	0.987107	+	0.160060i	$0.0511688\pi$
$954$	0.247249	+	0.0998824i	0.00800500	+	0.00323381i
$955$	0.993386	+	3.70737i	0.0321452	+	0.119968i
$956$	−10.3733			−0.335496
$957$	−21.7702	+	14.6849i	−0.703730	+	0.474695i
$958$	−8.64083	+	2.31530i	−0.279173	+	0.0748041i
$959$	−3.66235	+	13.6681i	−0.118263	+	0.441365i
$960$	−3.16593	−	1.54404i	−0.102180	−	0.0498336i
$961$	8.25820	+	4.76787i	0.266393	+	0.153802i
$962$	7.50693	−	4.33413i	0.242033	−	0.139738i
$963$	−13.4239	+	33.2295i	−0.432578	+	1.07081i
$964$	12.8943	−	7.44452i	0.415297	−	0.239772i
$965$	−9.98706	−	9.98706i	−0.321495	−	0.321495i
$966$	−4.54530	+	23.3863i	−0.146243	+	0.752443i
$967$			23.2878i			0.748885i	0.927250	+	0.374442i	$0.122166\pi$
$967$			23.2878i			0.748885i	−0.927250	+	0.374442i	$0.877834\pi$
$968$	3.29157	+	3.29157i	0.105795	+	0.105795i
$969$	35.0014	−	12.0528i	1.12441	−	0.387192i
$970$	−7.20458	−	26.8879i	−0.231325	−	0.863317i
$971$	25.0738	+	14.4763i	0.804655	+	0.464568i	0.845096	−	0.534614i	$-0.179543\pi$
$971$	25.0738	+	14.4763i	0.804655	+	0.464568i	−0.0404410	+	0.999182i	$0.512876\pi$
$972$	10.0187	−	11.9426i	0.321351	−	0.383058i
$973$	−5.28817			−0.169531
$974$	4.52097	+	16.8725i	0.144861	+	0.540630i
$975$	10.3090	−	0.721109i	0.330153	−	0.0230940i
$976$	5.58264	+	5.46206i	0.178696	+	0.174836i
$977$		−	20.2334i		−	0.647323i	−0.946173	−	0.323661i	$-0.895086\pi$
$977$		−	20.2334i		−	0.647323i	0.946173	−	0.323661i	$-0.104914\pi$
$978$	−7.08106	−	20.5634i	−0.226427	−	0.657545i
$979$			47.4080i			1.51517i
$980$	1.33965	+	2.32034i	0.0427935	+	0.0741205i
$981$	−52.8360	−	21.3444i	−1.68692	−	0.681473i
$982$	8.56971	−	2.29625i	0.273470	−	0.0732762i
$983$	24.9459	−	6.68422i	0.795649	−	0.213194i	0.161976	−	0.986795i	$-0.448213\pi$
$983$	24.9459	−	6.68422i	0.795649	−	0.213194i	0.633673	+	0.773601i	$0.281546\pi$
$984$	−1.91403	+	2.20194i	−0.0610170	+	0.0701952i
$985$	32.8089			1.04538
$986$	21.2918	+	5.70513i	0.678070	+	0.181688i
$987$	−17.1542	−	14.9112i	−0.546023	−	0.474629i
$988$	12.8240	+	22.2118i	0.407986	+	0.706652i
$989$	50.1273	+	28.9410i	1.59396	+	0.920271i
$990$	−14.8624	−	19.0213i	−0.472359	−	0.604536i
$991$	17.5655	−	30.4243i	0.557986	−	0.966459i	−0.439679	−	0.898155i	$-0.644908\pi$
$991$	17.5655	−	30.4243i	0.557986	−	0.966459i	0.997665	−	0.0683044i	$-0.0217589\pi$
$992$	−4.01226	−	2.31648i	−0.127389	−	0.0735482i
$993$	−20.6135	−	4.00637i	−0.654149	−	0.127138i
$994$	−3.21347	−	11.9928i	−0.101925	−	0.380389i
$995$	25.0246	+	43.3439i	0.793334	+	1.37410i
$996$	−11.4270	+	0.799314i	−0.362079	+	0.0253272i
$997$	−33.8287	+	9.06436i	−1.07136	+	0.287071i	−0.751054	−	0.660241i	$-0.770454\pi$
$997$	−33.8287	+	9.06436i	−1.07136	+	0.287071i	−0.320311	+	0.947312i	$0.603787\pi$
$998$	−10.5355	−	6.08267i	−0.333495	−	0.192544i
$999$	−5.47225	−	3.55320i	−0.173134	−	0.112418i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	366.2.o.a.101.10	yes	80
3.2	odd	2	inner	366.2.o.a.101.11	yes	80
61.29	odd	12	inner	366.2.o.a.29.11	yes	80
183.29	even	12	inner	366.2.o.a.29.10	✓	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
366.2.o.a.29.10	✓	80	183.29	even	12	inner
366.2.o.a.29.11	yes	80	61.29	odd	12	inner
366.2.o.a.101.10	yes	80	1.1	even	1	trivial
366.2.o.a.101.11	yes	80	3.2	odd	2	inner

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:	\( N \)	\(=\)	\( 366 = 2 \cdot 3 \cdot 61 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	366.o (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.965926 + 0.258819i) q^{2} +(1.72783 - 0.120861i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.01682 - 1.76119i) q^{5} +(-1.63767 + 0.563937i) q^{6} +(-0.746435 - 2.78573i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.97079 - 0.417653i) q^{9} +(-0.526346 + 1.96435i) q^{10} +(-2.79777 + 2.79777i) q^{11} +(1.43591 - 0.968583i) q^{12} +(3.45166 - 5.97845i) q^{13} +(1.44200 + 2.49762i) q^{14} +(1.54404 - 3.16593i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-5.55656 - 1.48888i) q^{17} +(-2.76146 + 1.17232i) q^{18} +(-3.21756 + 1.85766i) q^{19} -2.03365i q^{20} +(-1.62640 - 4.72306i) q^{21} +(1.97832 - 3.42655i) q^{22} +(3.37242 + 3.37242i) q^{23} +(-1.13630 + 1.30722i) q^{24} +(0.432144 + 0.748495i) q^{25} +(-1.78671 + 6.66810i) q^{26} +(5.08253 - 1.08068i) q^{27} +(-2.03930 - 2.03930i) q^{28} +(3.70127 + 0.991753i) q^{29} +(-0.672023 + 3.45768i) q^{30} +(-1.19910 + 4.47509i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-4.49592 + 5.17220i) q^{33} +5.75257 q^{34} +(-5.66520 - 1.51798i) q^{35} +(2.36395 - 1.84709i) q^{36} +(-0.887889 - 0.887889i) q^{37} +(2.62712 - 2.62712i) q^{38} +(5.24132 - 10.7469i) q^{39} +(0.526346 + 1.96435i) q^{40} +1.68444 q^{41} +(2.79340 + 4.14118i) q^{42} +(11.7228 - 3.14111i) q^{43} +(-1.02405 + 3.82182i) q^{44} +(2.28520 - 5.65679i) q^{45} +(-4.13036 - 2.38466i) q^{46} +(3.94053 - 2.27507i) q^{47} +(0.759246 - 1.55677i) q^{48} +(-1.14097 + 0.658742i) q^{49} +(-0.611144 - 0.611144i) q^{50} +(-9.78073 - 1.90095i) q^{51} -6.90332i q^{52} +(-0.0628529 - 0.0628529i) q^{53} +(-4.62965 + 2.35932i) q^{54} +(2.08256 + 7.77222i) q^{55} +(2.49762 + 1.44200i) q^{56} +(-5.33487 + 3.59859i) q^{57} -3.83184 q^{58} +(2.69099 + 10.0429i) q^{59} +(-0.245787 - 3.51379i) q^{60} +(-1.93896 + 7.56574i) q^{61} -4.63295i q^{62} +(-3.38097 - 7.96407i) q^{63} -1.00000i q^{64} +(-7.01945 - 12.1580i) q^{65} +(3.00406 - 6.15959i) q^{66} +(-5.42595 + 1.45388i) q^{67} +(-5.55656 + 1.48888i) q^{68} +(6.23457 + 5.41938i) q^{69} +5.86504 q^{70} +(-4.15839 - 1.11424i) q^{71} +(-1.80534 + 2.39599i) q^{72} +(6.30205 + 10.9155i) q^{73} +(1.08744 + 0.627832i) q^{74} +(0.837134 + 1.24104i) q^{75} +(-1.85766 + 3.21756i) q^{76} +(9.88218 + 5.70548i) q^{77} +(-2.28122 + 11.7373i) q^{78} +(-0.0557167 - 0.207937i) q^{79} +(-1.01682 - 1.76119i) q^{80} +(8.65113 - 2.48151i) q^{81} +(-1.62705 + 0.435966i) q^{82} +(-5.72748 - 3.30676i) q^{83} +(-3.77003 - 3.27709i) q^{84} +(-8.27222 + 8.27222i) q^{85} +(-10.5104 + 6.06815i) q^{86} +(6.51503 + 1.26624i) q^{87} -3.95664i q^{88} +(8.47248 - 8.47248i) q^{89} +(-0.743245 + 6.05549i) q^{90} +(-19.2308 - 5.15288i) q^{91} +(4.60682 + 1.23439i) q^{92} +(-1.53097 + 7.87711i) q^{93} +(-3.21743 + 3.21743i) q^{94} +7.55563i q^{95} +(-0.330453 + 1.70024i) q^{96} +(-11.8541 + 6.84396i) q^{97} +(0.931602 - 0.931602i) q^{98} +(-7.14307 + 9.48006i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 8 q^{6} + 16 q^{7} + 16 q^{10} - 16 q^{15} + 40 q^{16} - 8 q^{18} + 4 q^{21} - 4 q^{24} - 32 q^{25} - 8 q^{28} + 12 q^{30} + 44 q^{33} + 12 q^{36} - 36 q^{39} - 16 q^{40} - 24 q^{43} + 60 q^{45}+ \cdots + 52 q^{99}+O(q^{100}) \) 80 * q - 8 * q^6 + 16 * q^7 + 16 * q^10 - 16 * q^15 + 40 * q^16 - 8 * q^18 + 4 * q^21 - 4 * q^24 - 32 * q^25 - 8 * q^28 + 12 * q^30 + 44 * q^33 + 12 * q^36 - 36 * q^39 - 16 * q^40 - 24 * q^43 + 60 * q^45 + 48 * q^46 - 144 * q^49 - 32 * q^51 - 4 * q^54 + 32 * q^55 + 56 * q^57 - 48 * q^58 - 48 * q^61 - 8 * q^63 - 48 * q^66 - 64 * q^67 - 32 * q^69 - 96 * q^70 - 8 * q^72 + 32 * q^73 + 8 * q^76 + 32 * q^78 + 16 * q^79 + 40 * q^81 + 64 * q^82 + 32 * q^84 - 80 * q^85 - 8 * q^87 - 56 * q^90 + 96 * q^91 - 100 * q^93 - 48 * q^94 - 4 * q^96 - 144 * q^97 + 52 * q^99

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