LMFDB - Embedded newform 702.2.bs.a.5.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [702,2,Mod(5,702)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(702, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([10, 27]))

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

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

chi := DirichletCharacter("702.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$702 = 2 \cdot 3^{3} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	702.bs (of order $36$ , degree $12$ , 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:	$5.60549822189$
Analytic rank:	$0$
Dimension:	$504$
Relative dimension:	$42$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			5.18
Character	$\chi$	$=$	702.5
Dual form			702.2.bs.a.281.18

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.996195 - 0.0871557i) q^{2} +(1.50253 + 0.861624i) q^{3} +(0.984808 + 0.173648i) q^{4} +(-3.41514 - 1.59251i) q^{5} +(-1.42172 - 0.989299i) q^{6} +(-0.396544 + 0.566323i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(1.51521 + 2.58924i) q^{9} +(3.26335 + 1.88410i) q^{10} +(0.0763947 - 0.0356234i) q^{11} +(1.33009 + 1.10945i) q^{12} +(3.40619 + 1.18232i) q^{13} +(0.444393 - 0.529607i) q^{14} +(-3.75922 - 5.33536i) q^{15} +(0.939693 + 0.342020i) q^{16} +(-1.65313 + 2.86331i) q^{17} +(-1.28378 - 2.71144i) q^{18} +(-2.31211 - 0.619527i) q^{19} +(-3.08672 - 2.16135i) q^{20} +(-1.08378 + 0.509247i) q^{21} +(-0.0792088 + 0.0288296i) q^{22} +(-1.06220 + 6.02403i) q^{23} +(-1.22833 - 1.22115i) q^{24} +(5.91319 + 7.04706i) q^{25} +(-3.29018 - 1.47469i) q^{26} +(0.0457034 + 5.19595i) q^{27} +(-0.488860 + 0.488860i) q^{28} +(0.708038 + 0.843807i) q^{29} +(3.27991 + 5.64270i) q^{30} +(4.46988 + 6.38365i) q^{31} +(-0.906308 - 0.422618i) q^{32} +(0.145479 + 0.0122981i) q^{33} +(1.89639 - 2.70833i) q^{34} +(2.25613 - 1.30258i) q^{35} +(1.04257 + 2.81301i) q^{36} +(-7.76046 + 2.07941i) q^{37} +(2.24931 + 0.818683i) q^{38} +(4.09919 + 4.71133i) q^{39} +(2.88660 + 2.42215i) q^{40} +(0.653982 + 7.47505i) q^{41} +(1.12404 - 0.412852i) q^{42} +(0.0990112 - 0.272031i) q^{43} +(0.0814200 - 0.0218164i) q^{44} +(-1.05128 - 11.2556i) q^{45} +(1.58319 - 5.90853i) q^{46} +(-2.57767 - 1.80491i) q^{47} +(1.11723 + 1.32356i) q^{48} +(2.23067 + 6.12870i) q^{49} +(-5.27649 - 7.53561i) q^{50} +(-4.95097 + 2.87783i) q^{51} +(3.14913 + 1.75584i) q^{52} -12.0185i q^{53} +(0.407328 - 5.18016i) q^{54} -0.317629 q^{55} +(0.529607 - 0.444393i) q^{56} +(-2.94022 - 2.92303i) q^{57} +(-0.631801 - 0.902305i) q^{58} +(-3.66909 + 7.86840i) q^{59} +(-2.77563 - 5.90709i) q^{60} +(-1.21303 - 6.87943i) q^{61} +(-3.89650 - 6.74894i) q^{62} +(-2.06719 - 0.168647i) q^{63} +(0.866025 + 0.500000i) q^{64} +(-9.74976 - 9.46218i) q^{65} +(-0.143854 - 0.0249307i) q^{66} +(-5.20056 + 0.454990i) q^{67} +(-2.12522 + 2.53274i) q^{68} +(-6.78643 + 8.13608i) q^{69} +(-2.36107 + 1.10098i) q^{70} +(14.3602 - 3.84781i) q^{71} +(-0.793436 - 2.89317i) q^{72} +(-0.544508 + 2.03213i) q^{73} +(7.91216 - 1.39513i) q^{74} +(2.81284 + 15.6834i) q^{75} +(-2.16940 - 1.01161i) q^{76} +(-0.0101195 + 0.0573903i) q^{77} +(-3.67297 - 5.05067i) q^{78} +(-5.19494 + 4.35907i) q^{79} +(-2.66452 - 2.66452i) q^{80} +(-4.40828 + 7.84647i) q^{81} -7.50360i q^{82} +(11.9234 + 1.04316i) q^{83} +(-1.15574 + 0.313315i) q^{84} +(10.2055 - 7.14598i) q^{85} +(-0.122344 + 0.262367i) q^{86} +(0.336806 + 1.87791i) q^{87} +(-0.0830116 + 0.0146372i) q^{88} +(-3.49700 - 0.937018i) q^{89} +(0.0662877 + 11.3044i) q^{90} +(-2.02028 + 1.46016i) q^{91} +(-2.09212 + 5.74806i) q^{92} +(1.21584 + 13.4430i) q^{93} +(2.41056 + 2.02270i) q^{94} +(6.90957 + 5.79782i) q^{95} +(-0.997619 - 1.41589i) q^{96} +(7.00802 - 3.26789i) q^{97} +(-1.68803 - 6.29980i) q^{98} +(0.207991 + 0.143827i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$504 q - 24 q^{11} + 24 q^{15} + 24 q^{21} - 144 q^{27} + 24 q^{39} + 48 q^{41} + 12 q^{45} + 132 q^{47} + 24 q^{50} + 72 q^{54} - 72 q^{57} + 12 q^{63} - 156 q^{65} + 96 q^{66} - 48 q^{72} + 36 q^{73} - 96 q^{74}+ \cdots - 144 q^{99}+O(q^{100})$ 504 * q - 24 * q^11 + 24 * q^15 + 24 * q^21 - 144 * q^27 + 24 * q^39 + 48 * q^41 + 12 * q^45 + 132 * q^47 + 24 * q^50 + 72 * q^54 - 72 * q^57 + 12 * q^63 - 156 * q^65 + 96 * q^66 - 48 * q^72 + 36 * q^73 - 96 * q^74 - 24 * q^78 + 288 * q^79 + 24 * q^83 + 24 * q^84 - 144 * q^85 - 96 * q^86 - 192 * q^87 + 96 * q^92 - 60 * q^93 - 72 * q^98 - 144 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/702\mathbb{Z}\right)^\times$ .

$n$	$379$	$677$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{18}\right)$

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

)

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

$2$	−0.996195	−	0.0871557i	−0.704416	−	0.0616284i
$2$	−0.996195	−	0.0871557i	−0.704416	−	0.0616284i
$3$	1.50253	+	0.861624i	0.867488	+	0.497459i
$3$	1.50253	+	0.861624i	0.867488	+	0.497459i
$4$	0.984808	+	0.173648i	0.492404	+	0.0868241i
$5$	−3.41514	−	1.59251i	−1.52730	−	0.712191i	−0.536048	−	0.844187i	$-0.680084\pi$
$5$	−3.41514	−	1.59251i	−1.52730	−	0.712191i	−0.991250	+	0.131996i	$0.957861\pi$
$6$	−1.42172	−	0.989299i	−0.580415	−	0.403880i
$7$	−0.396544	+	0.566323i	−0.149879	+	0.214050i	−0.887070	−	0.461635i	$-0.847263\pi$
$7$	−0.396544	+	0.566323i	−0.149879	+	0.214050i	0.737191	+	0.675685i	$0.236152\pi$
$8$	−0.965926	−	0.258819i	−0.341506	−	0.0915064i
$9$	1.51521	+	2.58924i	0.505070	+	0.863079i
$10$	3.26335	+	1.88410i	1.03196	+	0.595804i
$11$	0.0763947	−	0.0356234i	0.0230339	−	0.0107409i	−0.411067	−	0.911605i	$-0.634844\pi$
$11$	0.0763947	−	0.0356234i	0.0230339	−	0.0107409i	0.434101	+	0.900864i	$0.357066\pi$
$12$	1.33009	+	1.10945i	0.383963	+	0.320269i
$13$	3.40619	+	1.18232i	0.944706	+	0.327918i
$13$	3.40619	+	1.18232i	0.944706	+	0.327918i
$14$	0.444393	−	0.529607i	0.118769	−	0.141543i
$15$	−3.75922	−	5.33536i	−0.970627	−	1.37758i
$16$	0.939693	+	0.342020i	0.234923	+	0.0855050i
$17$	−1.65313	+	2.86331i	−0.400943	+	0.694454i	−0.993840	−	0.110825i	$-0.964651\pi$
$17$	−1.65313	+	2.86331i	−0.400943	+	0.694454i	0.592897	+	0.805278i	$0.297984\pi$
$18$	−1.28378	−	2.71144i	−0.302589	−	0.639093i
$19$	−2.31211	−	0.619527i	−0.530434	−	0.142129i	−0.0163451	−	0.999866i	$-0.505203\pi$
$19$	−2.31211	−	0.619527i	−0.530434	−	0.142129i	−0.514088	+	0.857737i	$0.671870\pi$
$20$	−3.08672	−	2.16135i	−0.690212	−	0.483292i
$21$	−1.08378	+	0.509247i	−0.236500	+	0.111127i
$22$	−0.0792088	+	0.0288296i	−0.0168874	+	0.00614650i
$23$	−1.06220	+	6.02403i	−0.221484	+	1.25610i	0.647811	+	0.761802i	$0.275685\pi$
$23$	−1.06220	+	6.02403i	−0.221484	+	1.25610i	−0.869294	+	0.494295i	$0.835426\pi$
$24$	−1.22833	−	1.22115i	−0.250732	−	0.249266i
$25$	5.91319	+	7.04706i	1.18264	+	1.40941i
$26$	−3.29018	−	1.47469i	−0.645257	−	0.289211i
$27$	0.0457034	+	5.19595i	0.00879562	+	0.999961i
$28$	−0.488860	+	0.488860i	−0.0923859	+	0.0923859i
$29$	0.708038	+	0.843807i	0.131479	+	0.156691i	0.827767	−	0.561072i	$-0.189611\pi$
$29$	0.708038	+	0.843807i	0.131479	+	0.156691i	−0.696288	+	0.717763i	$0.745166\pi$
$30$	3.27991	+	5.64270i	0.598827	+	1.03021i
$31$	4.46988	+	6.38365i	0.802814	+	1.14654i	0.986534	+	0.163559i	$0.0522974\pi$
$31$	4.46988	+	6.38365i	0.802814	+	1.14654i	−0.183719	+	0.982979i	$0.558814\pi$
$32$	−0.906308	−	0.422618i	−0.160214	−	0.0747091i
$33$	0.145479	+	0.0122981i	0.0253247	+	0.00214083i
$34$	1.89639	−	2.70833i	0.325229	−	0.464475i
$35$	2.25613	−	1.30258i	0.381355	−	0.220176i
$36$	1.04257	+	2.81301i	0.173762	+	0.468835i
$37$	−7.76046	+	2.07941i	−1.27581	+	0.341853i	−0.832255	−	0.554394i	$-0.812950\pi$
$37$	−7.76046	+	2.07941i	−1.27581	+	0.341853i	−0.443557	+	0.896246i	$0.646284\pi$
$38$	2.24931	+	0.818683i	0.364887	+	0.132808i
$39$	4.09919	+	4.71133i	0.656396	+	0.754417i
$40$	2.88660	+	2.42215i	0.456412	+	0.382975i
$41$	0.653982	+	7.47505i	0.102135	+	1.16741i	0.858343	+	0.513076i	$0.171494\pi$
$41$	0.653982	+	7.47505i	0.102135	+	1.16741i	−0.756208	+	0.654331i	$0.772950\pi$
$42$	1.12404	−	0.412852i	0.173443	−	0.0637045i
$43$	0.0990112	−	0.272031i	0.0150991	−	0.0414844i	−0.931914	−	0.362679i	$-0.881862\pi$
$43$	0.0990112	−	0.272031i	0.0150991	−	0.0414844i	0.947013	+	0.321195i	$0.104084\pi$
$44$	0.0814200	−	0.0218164i	0.0122745	−	0.00328895i
$45$	−1.05128	−	11.2556i	−0.156715	−	1.67788i
$46$	1.58319	−	5.90853i	0.233428	−	0.871165i
$47$	−2.57767	−	1.80491i	−0.375992	−	0.263273i	0.370271	−	0.928924i	$-0.379265\pi$
$47$	−2.57767	−	1.80491i	−0.375992	−	0.263273i	−0.746263	+	0.665651i	$0.768154\pi$
$48$	1.11723	+	1.32356i	0.161258	+	0.191039i
$49$	2.23067	+	6.12870i	0.318667	+	0.875529i
$50$	−5.27649	−	7.53561i	−0.746209	−	1.06570i
$51$	−4.95097	+	2.87783i	−0.693275	+	0.402977i
$52$	3.14913	+	1.75584i	0.436706	+	0.243491i
$53$		−	12.0185i		−	1.65086i	−0.564502	−	0.825432i	$-0.690932\pi$
$53$		−	12.0185i		−	1.65086i	0.564502	−	0.825432i	$-0.309068\pi$
$54$	0.407328	−	5.18016i	0.0554303	−	0.704931i
$55$	−0.317629			−0.0428291
$56$	0.529607	−	0.444393i	0.0707717	−	0.0593845i
$57$	−2.94022	−	2.92303i	−0.389441	−	0.387164i
$58$	−0.631801	−	0.902305i	−0.0829595	−	0.118478i
$59$	−3.66909	+	7.86840i	−0.477675	+	1.02438i	0.508863	+	0.860847i	$0.330066\pi$
$59$	−3.66909	+	7.86840i	−0.477675	+	1.02438i	−0.986538	+	0.163530i	$0.947712\pi$
$60$	−2.77563	−	5.90709i	−0.358333	−	0.762602i
$61$	−1.21303	−	6.87943i	−0.155313	−	0.880821i	−0.958500	−	0.285094i	$-0.907975\pi$
$61$	−1.21303	−	6.87943i	−0.155313	−	0.880821i	0.803187	−	0.595727i	$-0.203136\pi$
$62$	−3.89650	−	6.74894i	−0.494856	−	0.857116i
$63$	−2.06719	−	0.168647i	−0.260442	−	0.0212476i
$64$	0.866025	+	0.500000i	0.108253	+	0.0625000i
$65$	−9.74976	−	9.46218i	−1.20931	−	1.17364i
$66$	−0.143854	−	0.0249307i	−0.0177072	−	0.00306876i
$67$	−5.20056	+	0.454990i	−0.635349	+	0.0555858i	−0.400280	−	0.916393i	$-0.631087\pi$
$67$	−5.20056	+	0.454990i	−0.635349	+	0.0555858i	−0.235069	+	0.971979i	$0.575532\pi$
$68$	−2.12522	+	2.53274i	−0.257721	+	0.307140i
$69$	−6.78643	+	8.13608i	−0.816991	+	0.979469i
$70$	−2.36107	+	1.10098i	−0.282202	+	0.131593i
$71$	14.3602	−	3.84781i	1.70425	−	0.456651i	0.730244	−	0.683187i	$-0.239407\pi$
$71$	14.3602	−	3.84781i	1.70425	−	0.456651i	0.974003	+	0.226535i	$0.0727399\pi$
$72$	−0.793436	−	2.89317i	−0.0935073	−	0.340964i
$73$	−0.544508	+	2.03213i	−0.0637299	+	0.237843i	−0.990442	−	0.137928i	$-0.955956\pi$
$73$	−0.544508	+	2.03213i	−0.0637299	+	0.237843i	0.926712	+	0.375772i	$0.122622\pi$
$74$	7.91216	−	1.39513i	0.919770	−	0.162180i
$75$	2.81284	+	15.6834i	0.324799	+	1.81096i
$76$	−2.16940	−	1.01161i	−0.248847	−	0.116039i
$77$	−0.0101195	+	0.0573903i	−0.00115322	+	0.00654023i
$78$	−3.67297	−	5.05067i	−0.415882	−	0.571876i
$79$	−5.19494	+	4.35907i	−0.584476	+	0.490434i	−0.886414	−	0.462894i	$-0.846811\pi$
$79$	−5.19494	+	4.35907i	−0.584476	+	0.490434i	0.301938	+	0.953328i	$0.402367\pi$
$80$	−2.66452	−	2.66452i	−0.297902	−	0.297902i
$81$	−4.40828	+	7.84647i	−0.489809	+	0.871830i
$82$		−	7.50360i		−	0.828634i
$83$	11.9234	+	1.04316i	1.30876	+	0.114502i	0.720094	−	0.693876i	$-0.244099\pi$
$83$	11.9234	+	1.04316i	1.30876	+	0.114502i	0.588664	+	0.808378i	$0.299654\pi$
$84$	−1.15574	+	0.313315i	−0.126102	+	0.0341855i
$85$	10.2055	−	7.14598i	1.10694	−	0.775090i
$86$	−0.122344	+	0.262367i	−0.0131926	+	0.0282917i
$87$	0.336806	+	1.87791i	0.0361094	+	0.201333i
$88$	−0.0830116	+	0.0146372i	−0.00884907	+	0.00156033i
$89$	−3.49700	−	0.937018i	−0.370681	−	0.0993237i	0.0686693	−	0.997639i	$-0.478125\pi$
$89$	−3.49700	−	0.937018i	−0.370681	−	0.0993237i	−0.439350	+	0.898316i	$0.644791\pi$
$90$	0.0662877	+	11.3044i	0.00698734	+	1.19159i
$91$	−2.02028	+	1.46016i	−0.211783	+	0.153066i
$92$	−2.09212	+	5.74806i	−0.218119	+	0.599277i
$93$	1.21584	+	13.4430i	0.126076	+	1.39397i
$94$	2.41056	+	2.02270i	0.248630	+	0.208625i
$95$	6.90957	+	5.79782i	0.708907	+	0.594844i
$96$	−0.997619	−	1.41589i	−0.101819	−	0.144509i
$97$	7.00802	−	3.26789i	0.711557	−	0.331804i	−0.0329152	−	0.999458i	$-0.510479\pi$
$97$	7.00802	−	3.26789i	0.711557	−	0.331804i	0.744472	+	0.667654i	$0.232701\pi$
$98$	−1.68803	−	6.29980i	−0.170516	−	0.636376i
$99$	0.207991	+	0.143827i	0.0209039	+	0.0144551i
$100$	4.59964	+	7.96681i	0.459964	+	0.796681i
$101$	−1.21665	−	6.89996i	−0.121061	−	0.686572i	−0.983570	−	0.180529i	$-0.942219\pi$
$101$	−1.21665	−	6.89996i	−0.121061	−	0.686572i	0.862509	−	0.506043i	$-0.168892\pi$
$102$	5.18295	−	2.43538i	0.513189	−	0.241138i
$103$	−0.985457	−	2.70752i	−0.0971000	−	0.266780i	0.881627	−	0.471947i	$-0.156449\pi$
$103$	−0.985457	−	2.70752i	−0.0971000	−	0.266780i	−0.978727	+	0.205167i	$0.934226\pi$
$104$	−2.98412	−	2.02362i	−0.292617	−	0.198433i
$105$	4.51224	−	0.0132295i	0.440349	−	0.00129107i
$106$	−1.04748	+	11.9727i	−0.101740	+	1.16289i
$107$			19.8746i			1.92135i	0.277681	+	0.960673i	$0.410434\pi$
$107$			19.8746i			1.92135i	−0.277681	+	0.960673i	$0.589566\pi$
$108$	−0.857258	+	5.12495i	−0.0824897	+	0.493149i
$109$	4.46411	−	4.46411i	0.427585	−	0.427585i	−0.460220	−	0.887805i	$-0.652230\pi$
$109$	4.46411	−	4.46411i	0.427585	−	0.427585i	0.887805	+	0.460220i	$0.152230\pi$
$110$	0.316421	+	0.0276832i	0.0301695	+	0.00263949i
$111$	−13.4520	−	3.56222i	−1.27681	−	0.338111i
$112$	−0.566323	+	0.396544i	−0.0535125	+	0.0374699i
$113$	−6.46630	−	17.7660i	−0.608298	−	1.67129i	−0.733944	−	0.679210i	$-0.762323\pi$
$113$	−6.46630	−	17.7660i	−0.608298	−	1.67129i	0.125646	−	0.992075i	$-0.459900\pi$
$114$	2.67427	+	3.16816i	0.250468	+	0.296725i
$115$	13.2209	−	18.8814i	1.23285	−	1.76070i
$116$	0.550756	+	0.953937i	0.0511364	+	0.0885708i
$117$	2.09977	+	10.6109i	0.194124	+	0.980977i
$118$	4.34091	−	7.51867i	0.399613	−	0.692150i
$119$	−0.966018	−	2.07163i	−0.0885547	−	0.189906i
$120$	2.25024	+	6.12652i	0.205418	+	0.559273i
$121$	−7.06610	+	8.42105i	−0.642372	+	0.765550i
$122$	0.608832	+	6.95898i	0.0551210	+	0.630036i
$123$	−5.45805	+	11.7950i	−0.492136	+	1.06352i
$124$	3.29346	+	7.06286i	0.295762	+	0.634263i
$125$	−4.09548	−	15.2845i	−0.366311	−	1.36709i
$126$	2.04463	+	0.348173i	0.182150	+	0.0310177i
$127$	9.30751	−	5.37369i	0.825908	−	0.476838i	−0.0265415	−	0.999648i	$-0.508449\pi$
$127$	9.30751	−	5.37369i	0.825908	−	0.476838i	0.852450	+	0.522809i	$0.175116\pi$
$128$	−0.819152	−	0.573576i	−0.0724035	−	0.0506975i
$129$	0.383156	−	0.323425i	0.0337350	−	0.0284760i
$130$	8.88797	+	10.2759i	0.779527	+	0.901258i
$131$	6.50996	+	1.14788i	0.568778	+	0.100291i	0.450639	−	0.892706i	$-0.351196\pi$
$131$	6.50996	+	1.14788i	0.568778	+	0.100291i	0.118139	+	0.992997i	$0.462307\pi$
$132$	0.141134	+	0.0373735i	0.0122841	+	0.00325295i
$133$	1.26770	−	1.06373i	0.109924	−	0.0922371i
$134$	5.22042			0.450976
$135$	8.11851	−	17.8177i	0.698730	−	1.53350i
$136$	2.33788	−	2.33788i	0.200471	−	0.200471i
$137$	−0.860203	+	9.83216i	−0.0734921	+	0.840018i	0.866579	+	0.499040i	$0.166314\pi$
$137$	−0.860203	+	9.83216i	−0.0734921	+	0.840018i	−0.940071	+	0.340979i	$0.889242\pi$
$138$	7.46972	−	7.51365i	0.635864	−	0.639604i
$139$	0.494940	−	2.80694i	0.0419803	−	0.238082i	−0.956596	−	0.291416i	$-0.905874\pi$
$139$	0.494940	−	2.80694i	0.0419803	−	0.238082i	0.998577	+	0.0533339i	$0.0169848\pi$
$140$	2.44804	−	0.891014i	0.206897	−	0.0753045i
$141$	−2.31789	−	4.93291i	−0.195201	−	0.415426i
$142$	−14.6410	+	2.58159i	−1.22864	+	0.216643i
$143$	0.302333	−	0.0310168i	0.0252824	−	0.00259376i
$144$	0.538260	+	2.95132i	0.0448550	+	0.245943i
$145$	−1.07428	−	4.00928i	−0.0892143	−	0.332952i
$146$	0.719549	−	1.97694i	0.0595503	−	0.163613i
$147$	−1.92899	+	11.1306i	−0.159100	+	0.918034i
$148$	−8.00365	+	0.700228i	−0.657896	+	0.0575584i
$149$	0.621130	+	7.09955i	0.0508849	+	0.581618i	0.978246	+	0.207449i	$0.0665162\pi$
$149$	0.621130	+	7.09955i	0.0508849	+	0.581618i	−0.927361	+	0.374168i	$0.877928\pi$
$150$	−1.43524	−	15.8689i	−0.117187	−	1.29569i
$151$	−8.92630	−	19.1425i	−0.726412	−	1.55780i	−0.826576	−	0.562825i	$-0.809714\pi$
$151$	−8.92630	−	19.1425i	−0.726412	−	1.55780i	0.100164	−	0.994971i	$-0.468063\pi$
$152$	2.07298	+	1.19683i	0.168141	+	0.0970761i
$153$	−9.91861	+	0.0581617i	−0.801872	+	0.00470209i
$154$	0.0150829	−	0.0562900i	0.00121541	−	0.00453597i
$155$	−5.09927	−	28.9194i	−0.409583	−	2.32286i
$156$	3.21880	+	5.35157i	0.257710	+	0.428469i
$157$	−15.8970	+	5.78605i	−1.26872	+	0.461777i	−0.886687	−	0.462371i	$-0.846999\pi$
$157$	−15.8970	+	5.78605i	−1.26872	+	0.461777i	−0.382035	+	0.924148i	$0.624777\pi$
$158$	5.55509	−	3.88971i	0.441939	−	0.309449i
$159$	10.3554	−	18.0581i	0.821237	−	1.43210i
$160$	2.42215	+	2.88660i	0.191488	+	0.228206i
$161$	−2.99034	−	2.99034i	−0.235672	−	0.235672i
$162$	5.07537	−	7.43240i	0.398759	−	0.583945i
$163$	0.159624	+	0.159624i	0.0125027	+	0.0125027i	0.713330	−	0.700828i	$-0.247186\pi$
$163$	0.159624	+	0.159624i	0.0125027	+	0.0125027i	−0.700828	+	0.713330i	$0.747186\pi$
$164$	−0.653982	+	7.47505i	−0.0510674	+	0.583703i
$165$	−0.477248	−	0.273677i	−0.0371537	−	0.0213057i
$166$	−11.7871	−	2.07838i	−0.914854	−	0.161313i
$167$	1.41269	−	3.02952i	0.109317	−	0.234431i	−0.844037	−	0.536284i	$-0.819827\pi$
$167$	1.41269	−	3.02952i	0.109317	−	0.234431i	0.953354	+	0.301853i	$0.0976052\pi$
$168$	1.17865	−	0.211393i	0.0909349	−	0.0163093i
$169$	10.2042	+	8.05443i	0.784940	+	0.619572i
$170$	−10.7895	+	6.22932i	−0.827516	+	0.477767i
$171$	−1.89922	−	6.92530i	−0.145237	−	0.529591i
$172$	0.144745	−	0.250705i	0.0110367	−	0.0191161i
$173$	−1.26205	−	0.459349i	−0.0959521	−	0.0349237i	0.293598	−	0.955929i	$-0.405147\pi$
$173$	−1.26205	−	0.459349i	−0.0959521	−	0.0349237i	−0.389550	+	0.921005i	$0.627369\pi$
$174$	−0.171854	−	1.90012i	−0.0130282	−	0.144048i
$175$	−6.33575	+	0.554306i	−0.478938	+	0.0419016i
$176$	0.0839714	−	0.00734655i	0.00632959	−	0.000553767i
$177$	−12.2925	+	8.66114i	−0.923963	+	0.651011i
$178$	3.40203	+	1.23824i	0.254993	+	0.0928097i
$179$	4.48376	−	7.76609i	0.335132	−	0.580465i	−0.648378	−	0.761318i	$-0.724553\pi$
$179$	4.48376	−	7.76609i	0.335132	−	0.580465i	0.983510	+	0.180853i	$0.0578859\pi$
$180$	0.919207	−	11.2671i	0.0685136	−	0.839804i
$181$	16.1997	−	9.35289i	1.20411	−	0.695195i	0.242645	−	0.970115i	$-0.421985\pi$
$181$	16.1997	−	9.35289i	1.20411	−	0.695195i	0.961467	+	0.274920i	$0.0886515\pi$
$182$	2.13985	−	1.27852i	0.158616	−	0.0947705i
$183$	4.10487	−	11.3817i	0.303440	−	0.841363i
$184$	2.58514	−	5.54385i	0.190579	−	0.408698i
$185$	29.8146	+	5.25711i	2.19201	+	0.386510i
$186$	−0.0395745	−	13.4978i	−0.00290174	−	0.989708i
$187$	−0.0242896	+	0.277631i	−0.00177623	+	0.0203024i
$188$	−2.22509	−	2.22509i	−0.162282	−	0.162282i
$189$	−2.96071	−	2.03454i	−0.215360	−	0.147991i
$190$	−6.37797	−	6.37797i	−0.462706	−	0.462706i
$191$	−8.50116	−	10.1313i	−0.615123	−	0.733075i	0.365101	−	0.930968i	$-0.381034\pi$
$191$	−8.50116	−	10.1313i	−0.615123	−	0.733075i	−0.980224	+	0.197893i	$0.936590\pi$
$192$	0.870420	+	1.49745i	0.0628171	+	0.108069i
$193$	−0.946476	+	0.662729i	−0.0681288	+	0.0477043i	−0.607145	−	0.794591i	$-0.707685\pi$
$193$	−0.946476	+	0.662729i	−0.0681288	+	0.0477043i	0.539016	+	0.842296i	$0.318796\pi$
$194$	−7.26617	+	2.64467i	−0.521681	+	0.189876i
$195$	−6.49649	−	22.6179i	−0.465223	−	1.61970i
$196$	1.13254	+	6.42295i	0.0808956	+	0.458782i
$197$	−2.01329	+	7.51370i	−0.143441	+	0.535329i	0.856379	+	0.516348i	$0.172709\pi$
$197$	−2.01329	+	7.51370i	−0.143441	+	0.535329i	−0.999820	+	0.0189810i	$0.993958\pi$
$198$	−0.194665	−	0.161407i	−0.0138342	−	0.0114707i
$199$	−10.1347	−	5.85127i	−0.718430	−	0.414786i	0.0957446	−	0.995406i	$-0.469477\pi$
$199$	−10.1347	−	5.85127i	−0.718430	−	0.414786i	−0.814175	+	0.580620i	$0.802810\pi$
$200$	−3.88779	−	8.33738i	−0.274908	−	0.589542i
$201$	−8.20604	−	3.79729i	−0.578809	−	0.267840i
$202$	0.610648	+	6.97974i	0.0429651	+	0.491093i
$203$	−0.758635	+	0.0663720i	−0.0532457	+	0.00465840i
$204$	−5.37549	+	1.97439i	−0.376359	+	0.138235i
$205$	9.67063	−	26.5698i	0.675426	−	1.85572i
$206$	0.745731	+	2.78311i	0.0519575	+	0.193908i
$207$	−17.2071	+	6.37738i	−1.19597	+	0.443258i
$208$	2.79639	+	2.27601i	0.193895	+	0.157813i
$209$	−0.198702	+	0.0350366i	−0.0137445	+	0.00242353i
$210$	−4.49622	−	0.380088i	−0.310269	−	0.0262286i
$211$	18.6319	−	6.78147i	1.28268	−	0.466856i	0.391359	−	0.920238i	$-0.372005\pi$
$211$	18.6319	−	6.78147i	1.28268	−	0.466856i	0.891316	+	0.453382i	$0.149783\pi$
$212$	2.08699	−	11.8359i	0.143335	−	0.812892i
$213$	24.8921	+	6.59166i	1.70558	+	0.451653i
$214$	1.73218	−	19.7989i	0.118410	−	1.35343i
$215$	−0.771349	+	0.771349i	−0.0526056	+	0.0526056i
$216$	1.30067	−	5.03073i	0.0884990	−	0.342298i
$217$	−5.38771			−0.365742
$218$	−4.83620	+	4.05805i	−0.327549	+	0.274846i
$219$	−2.56908	+	2.58419i	−0.173602	+	0.174623i
$220$	−0.312804	−	0.0551558i	−0.0210892	−	0.00371860i
$221$	−9.01623	+	7.79842i	−0.606497	+	0.524578i
$222$	13.0904	+	4.72108i	0.878567	+	0.316858i
$223$	−6.12637	−	4.28973i	−0.410252	−	0.287262i	0.350176	−	0.936684i	$-0.386122\pi$
$223$	−6.12637	−	4.28973i	−0.410252	−	0.287262i	−0.760428	+	0.649422i	$0.775011\pi$
$224$	0.598729	−	0.345676i	0.0400043	−	0.0230965i
$225$	−9.28679	+	25.9884i	−0.619119	+	1.73256i
$226$	4.89328	+	18.2620i	0.325496	+	1.21477i
$227$	−9.98452	−	21.4119i	−0.662696	−	1.42116i	−0.893907	−	0.448252i	$-0.852047\pi$
$227$	−9.98452	−	21.4119i	−0.662696	−	1.42116i	0.231211	−	0.972904i	$-0.425731\pi$
$228$	−2.38797	−	3.38918i	−0.158147	−	0.224454i
$229$	−0.446787	−	5.10680i	−0.0295245	−	0.337467i	−0.996563	−	0.0828368i	$-0.973602\pi$
$229$	−0.446787	−	5.10680i	−0.0295245	−	0.337467i	0.967039	−	0.254630i	$-0.0819536\pi$
$230$	−14.8162	+	17.6572i	−0.976950	+	1.16428i
$231$	−0.0646537	+	0.0775117i	−0.00425390	+	0.00509989i
$232$	−0.465519	−	0.998308i	−0.0305628	−	0.0655421i
$233$	0.540730	−	0.936572i	0.0354244	−	0.0613569i	−0.847770	−	0.530365i	$-0.822055\pi$
$233$	0.540730	−	0.936572i	0.0354244	−	0.0613569i	0.883194	+	0.469008i	$0.155388\pi$
$234$	−1.16698	−	10.7535i	−0.0762878	−	0.702979i
$235$	5.92880	+	10.2690i	0.386752	+	0.669874i
$236$	−4.97968	+	7.11173i	−0.324150	+	0.462934i
$237$	−11.5614	+	2.07356i	−0.750996	+	0.134692i
$238$	0.781787	+	2.14794i	0.0506757	+	0.139230i
$239$	5.19135	−	3.63502i	0.335800	−	0.235130i	−0.393498	−	0.919325i	$-0.628735\pi$
$239$	5.19135	−	3.63502i	0.335800	−	0.235130i	0.729299	+	0.684195i	$0.239846\pi$
$240$	−1.70771	−	6.29933i	−0.110232	−	0.406620i
$241$	19.8093	+	1.73309i	1.27603	+	0.111638i	0.704951	−	0.709256i	$-0.250969\pi$
$241$	19.8093	+	1.73309i	1.27603	+	0.111638i	0.571081	+	0.820894i	$0.306524\pi$
$242$	7.77315	−	7.77315i	0.499677	−	0.499677i
$243$	−13.3843	+	7.99129i	−0.858603	+	0.512641i
$244$		−	6.98556i		−	0.447205i
$245$	2.14196	−	24.4828i	0.136845	−	1.56415i
$246$	6.46528	−	11.2744i	0.412211	−	0.718830i
$247$	−7.14298	−	4.84388i	−0.454497	−	0.308209i
$248$	−2.66536	−	7.32302i	−0.169251	−	0.465012i
$249$	17.0164	+	11.8408i	1.07837	+	0.750382i
$250$	2.74776	+	15.5833i	0.173784	+	0.985576i
$251$	9.89890	+	17.1454i	0.624813	+	1.08221i	0.988577	+	0.150717i	$0.0481583\pi$
$251$	9.89890	+	17.1454i	0.624813	+	1.08221i	−0.363764	+	0.931491i	$0.618508\pi$
$252$	−2.00650	−	0.525049i	−0.126398	−	0.0330750i
$253$	0.133450	+	0.498043i	0.00838994	+	0.0313117i
$254$	−9.74044	+	4.54204i	−0.611170	+	0.284993i
$255$	21.4913	−	1.94375i	1.34583	−	0.121722i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	20.1157	+	16.8790i	1.25478	+	1.05289i	0.996218	+	0.0868912i	$0.0276933\pi$
$257$	20.1157	+	16.8790i	1.25478	+	1.05289i	0.258563	+	0.965995i	$0.416751\pi$
$258$	−0.409886	+	0.288800i	−0.0255184	+	0.0179799i
$259$	1.89974	−	5.21950i	0.118044	−	0.324324i
$260$	−7.95855	−	11.0115i	−0.493568	−	0.682902i
$261$	−1.11199	+	3.11182i	−0.0688304	+	0.192617i
$262$	−6.38514	−	1.71089i	−0.394476	−	0.105699i
$263$	12.1943	−	2.15019i	0.751934	−	0.132586i	0.215471	−	0.976510i	$-0.430871\pi$
$263$	12.1943	−	2.15019i	0.751934	−	0.132586i	0.536463	+	0.843924i	$0.319760\pi$
$264$	−0.137339	−	0.0495319i	−0.00845266	−	0.00304848i
$265$	−19.1395	+	41.0448i	−1.17573	+	2.52136i
$266$	−1.35559	+	0.949194i	−0.0831165	+	0.0581988i
$267$	−4.44700	−	4.42100i	−0.272152	−	0.270561i
$268$	−5.20056	−	0.454990i	−0.317675	−	0.0277929i
$269$		−	18.1363i		−	1.10579i	−0.833251	−	0.552895i	$-0.813523\pi$
$269$		−	18.1363i		−	1.10579i	0.833251	−	0.552895i	$-0.186477\pi$
$270$	−9.64053	+	17.0423i	−0.586704	+	1.03716i
$271$	−6.17839	−	6.17839i	−0.375311	−	0.375311i	0.494096	−	0.869407i	$-0.335499\pi$
$271$	−6.17839	−	6.17839i	−0.375311	−	0.375311i	−0.869407	+	0.494096i	$0.835499\pi$
$272$	−2.53274	+	2.12522i	−0.153570	+	0.128861i
$273$	−4.29364	+	0.453216i	−0.259863	+	0.0274299i
$274$	1.71386	−	9.71978i	0.103538	−	0.587193i
$275$	0.702776	+	0.327710i	0.0423790	+	0.0197617i
$276$	−8.09615	+	6.83402i	−0.487331	+	0.411360i
$277$	−14.7793	+	2.60599i	−0.888004	+	0.156579i	−0.599000	−	0.800749i	$-0.704435\pi$
$277$	−14.7793	+	2.60599i	−0.888004	+	0.156579i	−0.289004	+	0.957328i	$0.593324\pi$
$278$	−0.737698	+	2.75313i	−0.0442442	+	0.165122i
$279$	−9.75598	+	21.2461i	−0.584075	+	1.27197i
$280$	−2.51638	+	0.674263i	−0.150383	+	0.0402949i
$281$	−29.2542	+	13.6415i	−1.74516	+	0.813782i	−0.758363	+	0.651832i	$0.774001\pi$
$281$	−29.2542	+	13.6415i	−1.74516	+	0.813782i	−0.986799	+	0.161950i	$0.948222\pi$
$282$	1.87914	+	5.11616i	0.111901	+	0.304663i
$283$	9.05322	−	10.7892i	0.538158	−	0.641352i	−0.426616	−	0.904433i	$-0.640294\pi$
$283$	9.05322	−	10.7892i	0.538158	−	0.641352i	0.964774	+	0.263081i	$0.0847387\pi$
$284$	14.8102	−	1.29573i	0.878826	−	0.0768873i
$285$	5.38632	+	14.6649i	0.319058	+	0.868672i
$286$	−0.303886	+	0.00454872i	−0.0179691	+	0.000268971i
$287$	−4.49263	−	2.59382i	−0.265191	−	0.153108i
$288$	−0.278987	−	2.98700i	−0.0164395	−	0.176011i
$289$	3.03432	+	5.25560i	0.178489	+	0.309153i
$290$	0.720763	+	4.08765i	0.0423246	+	0.240035i
$291$	13.3455	+	1.12816i	0.782326	+	0.0661339i
$292$	−0.889112	+	1.90671i	−0.0520314	+	0.111582i
$293$	14.6352	+	20.9012i	0.854996	+	1.22106i	0.973632	+	0.228123i	$0.0732588\pi$
$293$	14.6352	+	20.9012i	0.854996	+	1.22106i	−0.118636	+	0.992938i	$0.537852\pi$
$294$	2.89174	−	10.9201i	0.168650	−	0.636873i
$295$	25.0610	−	21.0286i	1.45911	−	1.22433i
$296$	8.03422			0.466979
$297$	0.188589	+	0.395315i	0.0109430	+	0.0229385i
$298$		−	7.12667i		−	0.412837i
$299$	−10.7404	+	19.2631i	−0.621133	+	1.11401i
$300$	0.0467159	+	15.9336i	0.00269715	+	0.919924i
$301$	0.114795	+	0.163945i	0.00661669	+	0.00944961i
$302$	7.22396	+	19.8477i	0.415692	+	1.14210i
$303$	4.11711	−	11.4157i	0.236522	−	0.655815i
$304$	−1.96078	−	1.37295i	−0.112458	−	0.0787442i
$305$	−6.81288	+	25.4260i	−0.390104	+	1.45589i
$306$	9.88594	+	0.806524i	0.565141	+	0.0461059i
$307$	−5.01401	+	1.34350i	−0.286165	+	0.0766776i	−0.399046	−	0.916931i	$-0.630659\pi$
$307$	−5.01401	+	1.34350i	−0.286165	+	0.0766776i	0.112881	+	0.993608i	$0.463992\pi$
$308$	−0.0199314	+	0.0547612i	−0.00113570	+	0.00312031i
$309$	0.852183	−	4.91723i	0.0484790	−	0.279732i
$310$	2.55937	+	29.2538i	0.145363	+	1.66150i
$311$	19.1299	+	16.0519i	1.08476	+	0.910221i	0.996307	−	0.0858591i	$-0.0273635\pi$
$311$	19.1299	+	16.0519i	1.08476	+	0.910221i	0.0884523	+	0.996080i	$0.471808\pi$
$312$	−2.74013	−	5.61175i	−0.155129	−	0.317703i
$313$	2.31968	+	0.844293i	0.131116	+	0.0477223i	0.406745	−	0.913542i	$-0.366664\pi$
$313$	2.31968	+	0.844293i	0.131116	+	0.0477223i	−0.275629	+	0.961264i	$0.588886\pi$
$314$	16.3408	−	4.37851i	0.922167	−	0.247094i
$315$	6.79118	+	3.86797i	0.382640	+	0.217936i
$316$	−5.87296	+	3.39075i	−0.330380	+	0.190745i
$317$	−4.83380	+	6.90339i	−0.271493	+	0.387733i	−0.931627	−	0.363415i	$-0.881611\pi$
$317$	−4.83380	+	6.90339i	−0.271493	+	0.387733i	0.660134	+	0.751148i	$0.270500\pi$
$318$	−11.8899	+	17.0869i	−0.666751	+	0.958185i
$319$	0.0841496	+	0.0392396i	0.00471147	+	0.00219700i
$320$	−2.16135	−	3.08672i	−0.120823	−	0.172553i
$321$	−17.1244	+	29.8622i	−0.955791	+	1.66674i
$322$	2.71833	+	3.23958i	0.151487	+	0.180535i
$323$	5.59611	−	5.59611i	0.311376	−	0.311376i
$324$	−5.70384	+	6.96177i	−0.316880	+	0.386765i
$325$	11.8095	+	30.9949i	0.655074	+	1.71929i
$326$	−0.145104	−	0.172928i	−0.00803657	−	0.00957761i
$327$	10.5539	−	2.86109i	0.583630	−	0.158219i
$328$	1.30299	−	7.38961i	0.0719454	−	0.408023i
$329$	2.04432	−	0.744072i	0.112707	−	0.0410220i
$330$	0.451580	+	0.314231i	0.0248587	+	0.0172978i
$331$	2.12658	+	1.48905i	0.116887	+	0.0818454i	0.630558	−	0.776142i	$-0.282826\pi$
$331$	2.12658	+	1.48905i	0.116887	+	0.0818454i	−0.513671	+	0.857987i	$0.671715\pi$
$332$	11.5611	+	3.09778i	0.634496	+	0.170013i
$333$	−17.1428	−	16.9429i	−0.939419	−	0.928466i
$334$	−1.67135	+	2.89487i	−0.0914524	+	0.158400i
$335$	18.4852	+	6.72807i	1.00996	+	0.367594i
$336$	−1.19259	+	0.107862i	−0.0650611	+	0.00588438i
$337$	−19.7269	+	23.5096i	−1.07459	+	1.28065i	−0.116809	+	0.993154i	$0.537267\pi$
$337$	−19.7269	+	23.5096i	−1.07459	+	1.28065i	−0.957782	+	0.287494i	$0.907178\pi$
$338$	−9.46340	−	8.91314i	−0.514741	−	0.484811i
$339$	5.59179	−	32.2655i	0.303704	−	1.75242i
$340$	11.2914	−	5.26524i	0.612360	−	0.285548i
$341$	0.568883	+	0.328445i	0.0308067	+	0.0177863i
$342$	1.28842	+	7.06448i	0.0696695	+	0.382003i
$343$	−9.02995	−	2.41957i	−0.487572	−	0.130644i
$344$	−0.166044	+	0.237136i	−0.00895251	+	0.0127855i
$345$	36.1334	−	16.9784i	1.94536	−	0.914089i
$346$	1.21721	+	0.567597i	0.0654379	+	0.0305142i
$347$	−23.7637	−	4.19018i	−1.27570	−	0.224941i	−0.505548	−	0.862798i	$-0.668710\pi$
$347$	−23.7637	−	4.19018i	−1.27570	−	0.224941i	−0.770155	+	0.637857i	$0.779821\pi$
$348$	0.00559371	+	1.90787i	0.000299854	+	0.102272i
$349$	14.8193	+	1.29652i	0.793261	+	0.0694013i	0.476580	−	0.879131i	$-0.341876\pi$
$349$	14.8193	+	1.29652i	0.793261	+	0.0694013i	0.316680	+	0.948532i	$0.397432\pi$
$350$	6.35995			0.339954
$351$	−5.98762	+	17.7524i	−0.319596	+	0.947554i
$352$	−0.0842922			−0.00449279
$353$	−27.2976	−	2.38823i	−1.45291	−	0.127113i	−0.666816	−	0.745223i	$-0.732343\pi$
$353$	−27.2976	−	2.38823i	−1.45291	−	0.127113i	−0.786092	+	0.618110i	$0.787899\pi$
$354$	13.0006	−	7.55682i	0.690975	−	0.401640i
$355$	−55.1699	−	9.72795i	−2.92812	−	0.516306i
$356$	−3.28116	−	1.53003i	−0.173901	−	0.0810914i
$357$	0.333494	−	3.94504i	0.0176504	−	0.208794i
$358$	−5.14355	+	7.34576i	−0.271845	+	0.388235i
$359$	17.6453	+	4.72804i	0.931282	+	0.249536i	0.692401	−	0.721513i	$-0.256553\pi$
$359$	17.6453	+	4.72804i	0.931282	+	0.249536i	0.238881	+	0.971049i	$0.423220\pi$
$360$	−1.89771	+	11.1442i	−0.100018	+	0.587349i
$361$	−11.4925	−	6.63518i	−0.604866	−	0.349220i
$362$	−16.9532	+	7.90540i	−0.891040	+	0.415499i
$363$	−17.8728	+	6.56458i	−0.938079	+	0.344551i
$364$	−2.24314	+	1.08716i	−0.117573	+	0.0569826i
$365$	5.09576	−	6.07289i	0.266724	−	0.317870i
$366$	−5.08123	+	10.9807i	−0.265600	+	0.573969i
$367$	11.9684	+	4.35614i	0.624745	+	0.227388i	0.634942	−	0.772560i	$-0.281024\pi$
$367$	11.9684	+	4.35614i	0.624745	+	0.227388i	−0.0101978	+	0.999948i	$0.503246\pi$
$368$	−3.05848	+	5.29744i	−0.159434	+	0.276148i
$369$	−18.3637	+	13.0196i	−0.955979	+	0.677772i
$370$	−29.2429	−	7.83561i	−1.52027	−	0.407354i
$371$	6.80634	+	4.76585i	0.353367	+	0.247431i
$372$	−1.13699	+	13.4499i	−0.0589501	+	0.697345i
$373$	−25.2210	+	9.17971i	−1.30590	+	0.475307i	−0.898912	−	0.438128i	$-0.855642\pi$
$373$	−25.2210	+	9.17971i	−1.30590	+	0.475307i	−0.406983	+	0.913436i	$0.633419\pi$
$374$	0.0483944	−	0.274458i	0.00250241	−	0.0141919i
$375$	7.01593	−	26.4943i	0.362301	−	1.36816i
$376$	2.02270	+	2.41056i	0.104313	+	0.124315i
$377$	1.41406	+	3.71129i	0.0728276	+	0.191141i
$378$	2.77212	+	2.28484i	0.142583	+	0.117519i
$379$	5.76343	−	5.76343i	0.296047	−	0.296047i	−0.543416	−	0.839463i	$-0.682869\pi$
$379$	5.76343	−	5.76343i	0.296047	−	0.296047i	0.839463	+	0.543416i	$0.182869\pi$
$380$	5.79782	+	6.90957i	0.297422	+	0.354454i
$381$	18.6149	−	0.0545775i	0.953672	−	0.00279609i
$382$	7.58581	+	10.8337i	0.388124	+	0.554299i
$383$	9.45435	+	4.40864i	0.483095	+	0.225271i	0.648879	−	0.760891i	$-0.275238\pi$
$383$	9.45435	+	4.40864i	0.483095	+	0.225271i	−0.165785	+	0.986162i	$0.553016\pi$
$384$	−0.736596	−	1.56762i	−0.0375892	−	0.0799972i
$385$	0.125954	−	0.179881i	0.00641921	−	0.00916758i
$386$	1.00063	−	0.577717i	0.0509310	−	0.0294050i
$387$	0.854376	−	0.155821i	0.0434303	−	0.00792080i
$388$	7.46902	−	2.00132i	0.379182	−	0.101601i
$389$	19.9012	+	7.24343i	1.00903	+	0.367256i	0.793060	−	0.609144i	$-0.208487\pi$
$389$	19.9012	+	7.24343i	1.00903	+	0.367256i	0.215969	+	0.976400i	$0.430709\pi$
$390$	4.50049	+	23.0980i	0.227891	+	1.16961i
$391$	−15.4927	−	12.9999i	−0.783498	−	0.657433i
$392$	−0.568432	−	6.49721i	−0.0287102	−	0.328159i
$393$	8.79239	+	7.33387i	0.443517	+	0.369945i
$394$	2.66049	−	7.30964i	0.134034	−	0.368254i
$395$	24.6833	−	6.61387i	1.24195	−	0.332780i
$396$	0.179856	+	0.177759i	0.00903811	+	0.00893273i
$397$	6.56286	−	24.4929i	0.329381	−	1.22926i	−0.580454	−	0.814293i	$-0.697125\pi$
$397$	6.56286	−	24.4929i	0.329381	−	1.22926i	0.909834	−	0.414972i	$-0.136209\pi$
$398$	9.58616	+	6.71230i	0.480511	+	0.336457i
$399$	2.82130	−	0.506005i	0.141242	−	0.0253319i
$400$	3.14634	+	8.64450i	0.157317	+	0.432225i
$401$	10.8935	+	15.5575i	0.543994	+	0.776904i	0.993187	−	0.116531i	$-0.0371773\pi$
$401$	10.8935	+	15.5575i	0.543994	+	0.776904i	−0.449193	+	0.893435i	$0.648288\pi$
$402$	7.84385	+	4.49804i	0.391216	+	0.224342i
$403$	7.67771	+	27.0288i	0.382454	+	1.34640i
$404$		−	7.00640i		−	0.348582i
$405$	27.5505	−	19.7766i	1.36899	−	0.982706i
$406$	0.761533			0.0377942
$407$	−0.518782	+	0.435310i	−0.0257151	+	0.0215775i
$408$	5.52711	−	1.49837i	0.273633	−	0.0741802i
$409$	−7.87653	−	11.2488i	−0.389469	−	0.556220i	0.575762	−	0.817617i	$-0.304705\pi$
$409$	−7.87653	−	11.2488i	−0.389469	−	0.556220i	−0.965231	+	0.261398i	$0.915817\pi$
$410$	−11.9495	+	25.6259i	−0.590146	+	1.26557i
$411$	−9.76411	+	14.0320i	−0.481628	+	0.692146i
$412$	−0.500330	−	2.83751i	−0.0246495	−	0.139794i
$413$	−3.00110	−	5.19806i	−0.147674	−	0.255780i
$414$	17.6974	−	4.85341i	0.869781	−	0.238532i
$415$	−39.0587	−	22.5506i	−1.91732	−	1.10696i
$416$	−2.58738	−	2.51107i	−0.126857	−	0.123115i
$417$	3.16219	−	3.79107i	0.154853	−	0.185650i
$418$	0.201000	−	0.0175852i	0.00983122	−	0.000860120i
$419$	21.6131	−	25.7575i	1.05587	−	1.25834i	0.0909341	−	0.995857i	$-0.471015\pi$
$419$	21.6131	−	25.7575i	1.05587	−	1.25834i	0.964937	−	0.262481i	$-0.0845408\pi$
$420$	4.44598	+	0.770513i	0.216942	+	0.0375972i
$421$	−19.4466	+	9.06811i	−0.947770	+	0.441953i	−0.834129	−	0.551569i	$-0.814029\pi$
$421$	−19.4466	+	9.06811i	−0.947770	+	0.441953i	−0.113641	+	0.993522i	$0.536251\pi$
$422$	−19.1521	+	5.13178i	−0.932309	+	0.249811i
$423$	0.767615	−	9.40901i	0.0373227	−	0.457482i
$424$	−3.11061	+	11.6089i	−0.151065	+	0.563780i
$425$	−29.9532	+	5.28155i	−1.45294	+	0.256193i
$426$	−24.2229	−	8.73606i	−1.17360	−	0.423264i
$427$	4.37700	+	2.04103i	0.211818	+	0.0987723i
$428$	−3.45118	+	19.5726i	−0.166819	+	0.946079i
$429$	0.480990	+	0.213894i	0.0232224	+	0.0103269i
$430$	0.835642	−	0.701187i	0.0402982	−	0.0338142i
$431$	6.53329	+	6.53329i	0.314697	+	0.314697i	0.846726	−	0.532029i	$-0.178570\pi$
$431$	6.53329	+	6.53329i	0.314697	+	0.314697i	−0.532029	+	0.846726i	$0.678570\pi$
$432$	−1.73417	+	4.89823i	−0.0834354	+	0.235666i
$433$		−	39.7510i		−	1.91031i	−0.296107	−	0.955155i	$-0.595688\pi$
$433$		−	39.7510i		−	1.91031i	0.296107	−	0.955155i	$-0.404312\pi$
$434$	5.36721	+	0.469570i	0.257634	+	0.0225401i
$435$	1.84034	−	6.94969i	0.0882377	−	0.333212i
$436$	5.17148	−	3.62111i	0.247669	−	0.173420i
$437$	6.18796	−	13.2701i	0.296010	−	0.634796i
$438$	2.78453	−	2.35044i	0.133050	−	0.112308i
$439$	−11.2288	+	1.97993i	−0.535920	+	0.0944971i	−0.435056	−	0.900403i	$-0.643272\pi$
$439$	−11.2288	+	1.97993i	−0.535920	+	0.0944971i	−0.100863	+	0.994900i	$0.532160\pi$
$440$	0.306806	+	0.0822085i	0.0146264	+	0.00391914i
$441$	−12.4887	+	15.0620i	−0.594702	+	0.717238i
$442$	9.66159	−	6.98293i	0.459555	−	0.332144i
$443$	−3.00001	+	8.24245i	−0.142535	+	0.391611i	−0.990333	−	0.138707i	$-0.955705\pi$
$443$	−3.00001	+	8.24245i	−0.142535	+	0.391611i	0.847799	+	0.530318i	$0.177927\pi$
$444$	−12.6291	−	5.84402i	−0.599349	−	0.277345i
$445$	10.4505	+	8.76905i	0.495403	+	0.415693i
$446$	5.72918	+	4.80736i	0.271285	+	0.227635i
$447$	−5.18387	+	11.2025i	−0.245189	+	0.529859i
$448$	−0.626579	+	0.292178i	−0.0296031	+	0.0138041i
$449$	4.92169	+	18.3680i	0.232269	+	0.866839i	0.979361	+	0.202119i	$0.0647826\pi$
$449$	4.92169	+	18.3680i	0.232269	+	0.866839i	−0.747092	+	0.664720i	$0.768551\pi$
$450$	11.5165	−	25.0801i	0.542893	−	1.18229i
$451$	0.316248	+	0.547757i	0.0148915	+	0.0257929i
$452$	−3.28302	−	18.6190i	−0.154421	−	0.875762i
$453$	3.08159	−	36.4534i	0.144786	−	1.71273i
$454$	8.08036	+	22.2006i	0.379230	+	1.04193i
$455$	9.22486	−	1.76934i	0.432468	−	0.0829481i
$456$	2.08350	+	3.58441i	0.0975686	+	0.167855i
$457$	0.823051	−	9.40752i	0.0385007	−	0.440065i	−0.952341	−	0.305036i	$-0.901332\pi$
$457$	0.823051	−	9.40752i	0.0385007	−	0.440065i	0.990842	−	0.135029i	$-0.0431129\pi$
$458$			5.12630i			0.239536i
$459$	−14.9532	−	8.45872i	−0.697953	−	0.394819i
$460$	16.2987	−	16.2987i	0.759932	−	0.759932i
$461$	−2.42912	−	0.212521i	−0.113136	−	0.00989808i	0.0304473	−	0.999536i	$-0.490307\pi$
$461$	−2.42912	−	0.212521i	−0.113136	−	0.00989808i	−0.143583	+	0.989638i	$0.545862\pi$
$462$	0.0711632	−	0.0715818i	0.00331081	−	0.00333029i
$463$	−17.0679	+	11.9511i	−0.793213	+	0.555414i	−0.898472	−	0.439031i	$-0.855322\pi$
$463$	−17.0679	+	11.9511i	−0.793213	+	0.555414i	0.105259	+	0.994445i	$0.466433\pi$
$464$	0.376739	+	1.03508i	0.0174897	+	0.0480525i
$465$	17.2558	−	47.8460i	0.800220	−	2.21881i
$466$	−0.620300	+	0.885881i	−0.0287349	+	0.0410376i
$467$	−10.7022	−	18.5367i	−0.495237	−	0.857775i	0.504748	−	0.863267i	$-0.331585\pi$
$467$	−10.7022	−	18.5367i	−0.495237	−	0.857775i	−0.999985	+	0.00549126i	$0.998252\pi$
$468$	0.225308	+	10.8143i	0.0104149	+	0.499892i
$469$	1.80458	−	3.12562i	0.0833276	−	0.144328i
$470$	−5.01123	−	10.7466i	−0.231151	−	0.495705i
$471$	−28.8712	−	5.00354i	−1.33032	−	0.230551i
$472$	5.58056	−	6.65066i	0.256866	−	0.306121i
$473$	−0.00212675	−	0.0243089i	−9.77880e−5	−	0.00111772i
$474$	11.6982	−	1.05803i	0.537315	−	0.0485968i
$475$	−9.30607	−	19.9569i	−0.426992	−	0.915687i
$476$	−0.591607	−	2.20791i	−0.0271162	−	0.101199i
$477$	31.1187	−	18.2105i	1.42483	−	0.833801i
$478$	−5.48841	+	3.16873i	−0.251034	+	0.144934i
$479$	14.7489	+	10.3273i	0.673896	+	0.471867i	0.859753	−	0.510710i	$-0.170617\pi$
$479$	14.7489	+	10.3273i	0.673896	+	0.471867i	−0.185857	+	0.982577i	$0.559506\pi$
$480$	1.15219	+	6.42420i	0.0525900	+	0.293223i
$481$	−28.8921	−	2.09252i	−1.31737	−	0.0954107i
$482$	−19.5829	−	3.45300i	−0.891977	−	0.157280i
$483$	−1.91653	−	7.06963i	−0.0872053	−	0.321679i
$484$	−8.42105	+	7.06610i	−0.382775	+	0.321186i
$485$	−29.1375			−1.32307
$486$	14.0298	−	6.79436i	0.636407	−	0.308198i
$487$	−15.6016	+	15.6016i	−0.706975	+	0.706975i	−0.965898	−	0.258923i	$-0.916632\pi$
$487$	−15.6016	+	15.6016i	−0.706975	+	0.706975i	0.258923	+	0.965898i	$0.416632\pi$
$488$	−0.608832	+	6.95898i	−0.0275605	+	0.315018i
$489$	0.102304	+	0.377375i	0.00462635	+	0.0170655i
$490$	−4.26763	+	24.2029i	−0.192792	+	1.09338i
$491$	29.4535	−	10.7202i	1.32922	−	0.483796i	0.422818	−	0.906215i	$-0.361041\pi$
$491$	29.4535	−	10.7202i	1.32922	−	0.483796i	0.906401	+	0.422419i	$0.138819\pi$
$492$	−7.42331	+	10.6680i	−0.334669	+	0.480952i
$493$	−3.58655	+	0.632406i	−0.161530	+	0.0284821i
$494$	6.69363	+	5.44800i	0.301161	+	0.245117i
$495$	−0.481275	−	0.822417i	−0.0216317	−	0.0369649i
$496$	2.01698	+	7.52746i	0.0905649	+	0.337993i
$497$	−3.51536	+	9.65836i	−0.157685	+	0.433237i
$498$	−15.9197	−	13.2788i	−0.713378	−	0.595039i
$499$	5.48745	−	0.480090i	0.245652	−	0.0214918i	0.0363352	−	0.999340i	$-0.488432\pi$
$499$	5.48745	−	0.480090i	0.245652	−	0.0214918i	0.209317	+	0.977848i	$0.432876\pi$
$500$	−1.37913	−	15.7635i	−0.0616765	−	0.704965i
$501$	4.73292	−	3.33475i	0.211451	−	0.148986i
$502$	−8.36692	−	17.9429i	−0.373434	−	0.800831i
$503$	19.1621	+	11.0633i	0.854397	+	0.493287i	0.862132	−	0.506684i	$-0.169129\pi$
$503$	19.1621	+	11.0633i	0.854397	+	0.493287i	−0.00773480	+	0.999970i	$0.502462\pi$
$504$	1.95310	+	0.697929i	0.0869982	+	0.0310882i
$505$	−6.83321	+	25.5019i	−0.304074	+	1.13482i
$506$	−0.0895351	−	0.507779i	−0.00398032	−	0.0225735i
$507$	8.39229	+	20.8942i	0.372714	+	0.927946i
$508$	10.0992	−	3.67582i	0.448081	−	0.163088i
$509$	−4.18740	+	2.93205i	−0.185603	+	0.129961i	−0.662685	−	0.748898i	$-0.730583\pi$
$509$	−4.18740	+	2.93205i	−0.185603	+	0.129961i	0.477082	+	0.878859i	$0.341694\pi$
$510$	−21.5789	+	0.0632676i	−0.955529	+	0.00280154i
$511$	−0.934923	−	1.11420i	−0.0413585	−	0.0492892i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	3.11336	−	12.0419i	0.137458	−	0.531663i
$514$	−18.5680	−	18.5680i	−0.819000	−	0.819000i
$515$	−0.946270	+	10.8159i	−0.0416977	+	0.476606i
$516$	0.433497	−	0.251977i	0.0190837	−	0.0110927i
$517$	−0.261217	−	0.0460597i	−0.0114883	−	0.00202570i
$518$	−2.34742	+	5.03407i	−0.103140	+	0.221184i
$519$	−1.50049	−	1.77760i	−0.0658641	−	0.0780281i
$520$	6.96855	+	11.6632i	0.305591	+	0.511465i
$521$	14.2781	−	8.24345i	0.625534	−	0.361152i	−0.153486	−	0.988151i	$-0.549050\pi$
$521$	14.2781	−	8.24345i	0.625534	−	0.361152i	0.779020	+	0.626999i	$0.215717\pi$
$522$	1.37897	−	3.00306i	0.0603559	−	0.131440i
$523$	−6.77682	+	11.7378i	−0.296330	+	0.513258i	−0.975293	−	0.220914i	$-0.929096\pi$
$523$	−6.77682	+	11.7378i	−0.296330	+	0.513258i	0.678964	+	0.734172i	$0.262429\pi$
$524$	6.21173	+	2.26089i	0.271361	+	0.0987673i
$525$	−9.99728	−	4.62617i	−0.436317	−	0.201903i
$526$	−12.3353	+	1.07920i	−0.537845	+	0.0470553i
$527$	−25.6676	+	2.24563i	−1.11810	+	0.0978211i
$528$	0.132500	+	0.0613134i	0.00576631	+	0.00266832i
$529$	−13.5477	−	4.93096i	−0.589031	−	0.214390i
$530$	22.6440	−	39.2205i	0.983591	−	1.70363i
$531$	−25.9326	+	2.42211i	−1.12538	+	0.105111i
$532$	1.43316	−	0.827435i	0.0621353	−	0.0358738i
$533$	−6.61034	+	26.2346i	−0.286326	+	1.13635i
$534$	4.04476	+	4.79176i	0.175034	+	0.207360i
$535$	31.6504	−	67.8745i	1.36837	−	2.93447i
$536$	5.14111	+	0.906517i	0.222062	+	0.0391556i
$537$	13.4284	−	7.80550i	0.579480	−	0.336832i
$538$	−1.58068	+	18.0673i	−0.0681481	+	0.778936i
$539$	0.388736	+	0.388736i	0.0167441	+	0.0167441i
$540$	11.0892	−	16.1372i	0.477202	−	0.694437i
$541$	20.5929	+	20.5929i	0.885358	+	0.885358i	0.994073	−	0.108715i	$-0.0346737\pi$
$541$	20.5929	+	20.5929i	0.885358	+	0.885358i	−0.108715	+	0.994073i	$0.534674\pi$
$542$	5.61640	+	6.69337i	0.241245	+	0.287505i
$543$	32.3992	−	0.0949919i	1.39038	−	0.00407649i
$544$	2.70833	−	1.89639i	0.116119	−	0.0813072i
$545$	−22.3547	+	8.13645i	−0.957571	+	0.348527i
$546$	4.31681	−	0.0772761i	0.184742	−	0.00330711i
$547$	−0.375095	−	2.12727i	−0.0160379	−	0.0909554i	0.975738	−	0.218941i	$-0.0702601\pi$
$547$	−0.375095	−	2.12727i	−0.0160379	−	0.0909554i	−0.991776	+	0.127985i	$0.959149\pi$
$548$	−2.55447	+	9.53342i	−0.109122	+	0.407247i
$549$	15.9745	−	13.5646i	0.681774	−	0.578923i
$550$	−0.671540	−	0.387714i	−0.0286346	−	0.0165322i
$551$	−1.11430	−	2.38962i	−0.0474707	−	0.101801i
$552$	8.66096	−	6.10239i	0.368635	−	0.259735i
$553$	−0.408622	−	4.67057i	−0.0173764	−	0.198613i
$554$	14.9502	−	1.30797i	0.635174	−	0.0555705i
$555$	40.2677	+	33.5879i	1.70927	+	1.42573i
$556$	0.974842	−	2.67836i	0.0413425	−	0.113588i
$557$	5.10466	+	19.0508i	0.216291	+	0.807210i	0.985708	+	0.168463i	$0.0538803\pi$
$557$	5.10466	+	19.0508i	0.216291	+	0.807210i	−0.769417	+	0.638747i	$0.779453\pi$
$558$	11.5706	−	20.3150i	0.489821	−	0.860003i
$559$	0.658880	−	0.809526i	0.0278676	−	0.0342393i
$560$	2.56557	−	0.452380i	0.108415	−	0.0191165i
$561$	−0.275710	+	0.396222i	−0.0116405	+	0.0167285i
$562$	30.3319	−	11.0399i	1.27947	−	0.465690i
$563$	−6.94211	+	39.3707i	−0.292575	+	1.65928i	0.384322	+	0.923199i	$0.374435\pi$
$563$	−6.94211	+	39.3707i	−0.292575	+	1.65928i	−0.676897	+	0.736078i	$0.736676\pi$
$564$	−1.42608	−	5.26047i	−0.0600489	−	0.221506i
$565$	−6.20916	+	70.9711i	−0.261222	+	2.98578i
$566$	−9.95911	+	9.95911i	−0.418613	+	0.418613i
$567$	−2.69556	−	5.60798i	−0.113203	−	0.235513i
$568$	−14.8668			−0.623798
$569$	9.97904	−	8.37341i	0.418343	−	0.351032i	−0.409189	−	0.912450i	$-0.634188\pi$
$569$	9.97904	−	8.37341i	0.418343	−	0.351032i	0.827532	+	0.561418i	$0.189744\pi$
$570$	−4.08769	−	15.0785i	−0.171215	−	0.631569i
$571$	33.8908	+	5.97586i	1.41828	+	0.250082i	0.829635	−	0.558306i	$-0.188549\pi$
$571$	33.8908	+	5.97586i	1.41828	+	0.250082i	0.588650	+	0.808388i	$0.299660\pi$
$572$	0.303126	+	0.0219540i	0.0126743	+	0.000917942i
$573$	−4.04391	−	22.5474i	−0.168937	−	0.941931i
$574$	4.24946	+	2.97551i	0.177369	+	0.124195i
$575$	−48.7327	+	28.1358i	−2.03229	+	1.17334i
$576$	0.0175914	+	2.99995i	0.000732974	+	0.124998i
$577$	2.82467	+	10.5418i	0.117593	+	0.438861i	0.999468	−	0.0326214i	$-0.0103856\pi$
$577$	2.82467	+	10.5418i	0.117593	+	0.438861i	−0.881875	+	0.471483i	$0.843719\pi$
$578$	−2.56472	−	5.50006i	−0.106678	−	0.228772i
$579$	−1.99313	+	0.180267i	−0.0828318	+	0.00749162i
$580$	−0.361758	−	4.13491i	−0.0150212	−	0.171693i
$581$	−5.31890	+	6.33881i	−0.220665	+	0.262978i
$582$	−13.1964	−	2.28700i	−0.547007	−	0.0947993i
$583$	−0.428139	−	0.918147i	−0.0177317	−	0.0380258i
$584$	1.05191	−	1.82196i	0.0435283	−	0.0753933i
$585$	9.72691	−	39.5816i	0.402158	−	1.63650i
$586$	−12.7578	−	22.0972i	−0.527021	−	0.912827i
$587$	−7.26925	+	10.3816i	−0.300034	+	0.428493i	−0.940655	−	0.339364i	$-0.889788\pi$
$587$	−7.26925	+	10.3816i	−0.300034	+	0.428493i	0.640621	+	0.767857i	$0.278677\pi$
$588$	−3.83249	+	10.6265i	−0.158049	+	0.438230i
$589$	−6.37999	−	17.5289i	−0.262883	−	0.722265i
$590$	−26.7984	+	18.7644i	−1.10327	+	0.772519i
$591$	−9.49902	+	9.55488i	−0.390737	+	0.393035i
$592$	−8.00365	−	0.700228i	−0.328948	−	0.0287792i
$593$	22.2750	−	22.2750i	0.914726	−	0.914726i	−0.0819138	−	0.996639i	$-0.526103\pi$
$593$	22.2750	−	22.2750i	0.914726	−	0.914726i	0.996639	+	0.0819138i	$0.0261032\pi$
$594$	−0.153417	−	0.410247i	−0.00629480	−	0.0168326i
$595$			8.61331i			0.353111i
$596$	−0.621130	+	7.09955i	−0.0254425	+	0.290809i
$597$	−10.1861	−	17.5240i	−0.416890	−	0.717211i
$598$	12.3784	−	18.2537i	0.506191	−	0.746450i
$599$	−13.7213	−	37.6989i	−0.560636	−	1.54033i	−0.818709	−	0.574208i	$-0.805310\pi$
$599$	−13.7213	−	37.6989i	−0.560636	−	1.54033i	0.258074	−	0.966125i	$-0.416912\pi$
$600$	1.34216	−	15.8770i	0.0547936	−	0.648176i
$601$	6.69577	+	37.9736i	0.273126	+	1.54898i	0.744851	+	0.667230i	$0.232520\pi$
$601$	6.69577	+	37.9736i	0.273126	+	1.54898i	−0.471725	+	0.881746i	$0.656369\pi$
$602$	−0.100070	−	0.173326i	−0.00407854	−	0.00706423i
$603$	−9.05801	−	12.7761i	−0.368870	−	0.520282i
$604$	−5.46663	−	20.4017i	−0.222434	−	0.830135i
$605$	37.5423	−	17.5063i	1.52631	−	0.711731i
$606$	−5.09639	+	11.0134i	−0.207027	+	0.447390i
$607$	29.1847	+	24.4888i	1.18457	+	0.993971i	0.999938	+	0.0111630i	$0.00355338\pi$
$607$	29.1847	+	24.4888i	1.18457	+	0.993971i	0.184631	+	0.982808i	$0.440891\pi$
$608$	1.83366	+	1.53862i	0.0743646	+	0.0623993i
$609$	−1.19706	−	0.553932i	−0.0485074	−	0.0224465i
$610$	9.00297	−	24.7355i	0.364520	−	1.00151i
$611$	−6.64605	−	9.19549i	−0.268870	−	0.372010i
$612$	−9.77802	−	1.66507i	−0.395253	−	0.0673065i
$613$	1.56118	+	0.418318i	0.0630556	+	0.0168957i	0.290209	−	0.956963i	$-0.406275\pi$
$613$	1.56118	+	0.418318i	0.0630556	+	0.0168957i	−0.227153	+	0.973859i	$0.572942\pi$
$614$	5.11202	−	0.901388i	0.206304	−	0.0363770i
$615$	37.4236	−	31.5896i	1.50907	−	1.27382i
$616$	0.0246284	−	0.0528157i	0.000992305	−	0.00212800i
$617$	−30.9650	+	21.6820i	−1.24661	+	0.872883i	−0.995471	−	0.0950695i	$-0.969693\pi$
$617$	−30.9650	+	21.6820i	−1.24661	+	0.872883i	−0.251135	+	0.967952i	$0.580804\pi$
$618$	−1.27751	+	4.82425i	−0.0513888	+	0.194060i
$619$	47.7023	+	4.17341i	1.91732	+	0.167744i	0.982358	−	0.187010i	$-0.0598797\pi$
$619$	47.7023	+	4.17341i	1.91732	+	0.167744i	0.934960	+	0.354754i	$0.115435\pi$
$620$		−	29.3655i		−	1.17935i
$621$	−31.3491	−	5.24381i	−1.25800	−	0.210427i
$622$	−17.6581	−	17.6581i	−0.708027	−	0.708027i
$623$	1.91737	−	1.60886i	0.0768177	−	0.0644577i
$624$	2.24061	+	5.82921i	0.0896961	+	0.233355i
$625$	−2.36690	+	13.4233i	−0.0946759	+	0.536933i
$626$	−2.23726	−	1.04325i	−0.0894190	−	0.0416968i
$627$	−0.328745	−	0.118563i	−0.0131288	−	0.00473495i
$628$	−16.6603	+	2.93766i	−0.664817	+	0.117225i
$629$	6.87507	−	25.6581i	0.274127	−	1.02306i
$630$	−6.42822	−	4.44514i	−0.256106	−	0.177099i
$631$	−38.9883	+	10.4469i	−1.55210	+	0.415884i	−0.930152	−	0.367175i	$-0.880325\pi$
$631$	−38.9883	+	10.4469i	−1.55210	+	0.415884i	−0.621948	+	0.783059i	$0.713658\pi$
$632$	6.14613	−	2.86599i	0.244480	−	0.114003i
$633$	33.8382	+	5.86434i	1.34495	+	0.233087i
$634$	5.41708	−	6.45582i	0.215140	−	0.256394i
$635$	−40.3441	+	3.52965i	−1.60101	+	0.140070i
$636$	13.3338	−	15.9856i	0.528721	−	0.633870i
$637$	0.351953	+	23.5129i	0.0139449	+	0.931614i
$638$	−0.0804094	−	0.0464244i	−0.00318344	−	0.00183796i
$639$	31.7217	+	31.3518i	1.25489	+	1.24026i
$640$	1.88410	+	3.26335i	0.0744755	+	0.128995i
$641$	−0.595945	−	3.37977i	−0.0235384	−	0.133493i	0.970774	−	0.239995i	$-0.0771459\pi$
$641$	−0.595945	−	3.37977i	−0.0235384	−	0.133493i	−0.994312	+	0.106502i	$0.966035\pi$
$642$	19.6619	−	28.2561i	0.775993	−	1.11518i
$643$	11.9267	−	25.5768i	0.470342	−	1.00865i	−0.517855	−	0.855468i	$-0.673269\pi$
$643$	11.9267	−	25.5768i	0.470342	−	1.00865i	0.988198	−	0.153184i	$-0.0489527\pi$
$644$	−2.42564	−	3.46417i	−0.0955837	−	0.136508i
$645$	−1.82359	+	0.494365i	−0.0718038	+	0.0194656i
$646$	−6.06255	+	5.08708i	−0.238528	+	0.200148i
$647$	−4.63428			−0.182193			−0.0910963	−	0.995842i	$-0.529037\pi$
$647$	−4.63428			−0.182193			−0.0910963	+	0.995842i	$0.529037\pi$
$648$	6.28889	−	6.43816i	0.247051	−	0.252915i
$649$			0.731809i			0.0287260i
$650$	−9.06319	−	31.9062i	−0.355487	−	1.25147i
$651$	−8.09521	−	4.64218i	−0.317276	−	0.181941i
$652$	0.129480	+	0.184917i	0.00507084	+	0.00724190i
$653$	−4.10441	−	11.2768i	−0.160618	−	0.441294i	0.833111	−	0.553105i	$-0.186557\pi$
$653$	−4.10441	−	11.2768i	−0.160618	−	0.441294i	−0.993730	+	0.111811i	$0.964335\pi$
$654$	−10.7631	+	1.93037i	−0.420869	+	0.0754836i
$655$	−20.4044	−	14.2873i	−0.797267	−	0.558253i
$656$	−1.94208	+	7.24793i	−0.0758253	+	0.282984i
$657$	−6.08672	+	1.66925i	−0.237465	+	0.0651235i
$658$	−2.10139	+	0.563066i	−0.0819207	+	0.0219506i
$659$	10.3283	−	28.3767i	0.402333	−	1.10540i	−0.558797	−	0.829304i	$-0.688737\pi$
$659$	10.3283	−	28.3767i	0.402333	−	1.10540i	0.961130	−	0.276096i	$-0.0890408\pi$
$660$	−0.422474	−	0.352393i	−0.0164448	−	0.0137169i
$661$	−2.09445	−	23.9397i	−0.0814648	−	0.931147i	−0.921440	−	0.388522i	$-0.872986\pi$
$661$	−2.09445	−	23.9397i	−0.0814648	−	0.931147i	0.839975	−	0.542625i	$-0.182570\pi$
$662$	−1.98871	−	1.66872i	−0.0772933	−	0.0648568i
$663$	−20.2665	+	3.94879i	−0.787085	+	0.153358i
$664$	−11.2471	−	4.09361i	−0.436472	−	0.158863i
$665$	−6.02339	+	1.61396i	−0.233577	+	0.0625867i
$666$	15.6009	+	18.3725i	0.604522	+	0.711921i
$667$	−5.83519	+	3.36895i	−0.225939	+	0.130446i
$668$	1.91730	−	2.73819i	0.0741825	−	0.105944i
$669$	−5.50894	−	11.7241i	−0.212988	−	0.453279i
$670$	−17.8285	−	8.31356i	−0.688775	−	0.321181i
$671$	−0.337738	−	0.482340i	−0.0130382	−	0.0186205i
$672$	1.19745	−	0.00351084i	0.0461928	−	0.000135434i
$673$	14.1879	+	16.9085i	0.546905	+	0.651776i	0.966721	−	0.255833i	$-0.0823499\pi$
$673$	14.1879	+	16.9085i	0.546905	+	0.651776i	−0.419816	+	0.907609i	$0.637905\pi$
$674$	21.7008	−	21.7008i	0.835884	−	0.835884i
$675$	−36.3459	+	31.0467i	−1.39896	+	1.19499i
$676$	8.65056	+	9.70401i	0.332714	+	0.373231i
$677$	4.02288	+	4.79428i	0.154612	+	0.184259i	0.837790	−	0.545992i	$-0.183847\pi$
$677$	4.02288	+	4.79428i	0.154612	+	0.184259i	−0.683178	+	0.730252i	$0.739403\pi$
$678$	−8.38264	+	31.6554i	−0.321933	+	1.21572i
$679$	−0.928303	+	5.26467i	−0.0356250	+	0.202039i
$680$	−11.7073	+	4.26110i	−0.448954	+	0.163406i
$681$	3.44691	−	40.7749i	0.132086	−	1.56250i
$682$	−0.538092	−	0.376776i	−0.0206046	−	0.0144275i
$683$	−25.0981	−	6.72501i	−0.960352	−	0.257325i	−0.255602	−	0.966782i	$-0.582274\pi$
$683$	−25.0981	−	6.72501i	−0.960352	−	0.257325i	−0.704749	+	0.709457i	$0.748940\pi$
$684$	−0.667803	−	7.14989i	−0.0255341	−	0.273383i
$685$	18.5955	−	32.2084i	0.710498	−	1.23062i
$686$	8.78471	+	3.19737i	0.335402	+	0.122076i
$687$	3.72882	−	8.05809i	0.142264	−	0.307435i
$688$	0.186080	−	0.221762i	0.00709424	−	0.00845459i
$689$	14.2097	−	40.9372i	0.541347	−	1.55958i
$690$	−37.4757	+	13.7646i	−1.42667	+	0.524009i
$691$	13.6310	−	6.35622i	0.518546	−	0.241802i	−0.145683	−	0.989331i	$-0.546538\pi$
$691$	13.6310	−	6.35622i	0.518546	−	0.241802i	0.664229	+	0.747529i	$0.268760\pi$
$692$	−1.16311	−	0.671524i	−0.0442149	−	0.0255275i
$693$	−0.163930	+	0.0607566i	−0.00622719	+	0.00230795i
$694$	23.3081	+	6.24538i	0.884763	+	0.237072i
$695$	−6.16037	+	8.79792i	−0.233676	+	0.333724i
$696$	0.160709	−	1.90109i	0.00609166	−	0.0720607i
$697$	−22.4845	−	10.4847i	−0.851660	−	0.397136i
$698$	−14.6499	−	2.58318i	−0.554508	−	0.0977748i
$699$	1.61944	−	0.941325i	0.0612528	−	0.0356042i
$700$	−6.33575	−	0.554306i	−0.239469	−	0.0209508i
$701$	−50.4880			−1.90691			−0.953453	−	0.301540i	$-0.902499\pi$
$701$	−50.4880			−1.90691			−0.953453	+	0.301540i	$0.902499\pi$
$702$	7.51206	−	17.1630i	0.283525	−	0.647776i
$703$	19.2313			0.725320
$704$	0.0839714	+	0.00734655i	0.00316479	+	0.000276883i
$705$	0.0602154	+	20.5379i	0.00226784	+	0.773501i
$706$	26.9856	+	4.75829i	1.01562	+	0.179081i
$707$	4.39006	+	2.04712i	0.165105	+	0.0769898i
$708$	−13.6098	+	6.39499i	−0.511486	+	0.240338i
$709$	−10.2282	+	14.6074i	−0.384128	+	0.548591i	−0.963927	−	0.266168i	$-0.914242\pi$
$709$	−10.2282	+	14.6074i	−0.384128	+	0.548591i	0.579799	+	0.814760i	$0.303131\pi$
$710$	54.1122	+	14.4993i	2.03079	+	0.544149i
$711$	−19.1581	−	6.84602i	−0.718484	−	0.256746i
$712$	3.13532	+	1.81018i	0.117501	+	0.0678394i
$713$	−43.2032	+	20.1460i	−1.61797	+	0.754473i
$714$	−0.676058	+	3.90096i	−0.0253008	+	0.145990i
$715$	−1.08190	−	0.375541i	−0.0404610	−	0.0140444i
$716$	5.76421	−	6.86951i	0.215418	−	0.256726i
$717$	10.9322	−	0.988749i	0.408270	−	0.0369255i
$718$	−17.1661	−	6.24793i	−0.640631	−	0.233171i
$719$	4.80520	−	8.32285i	0.179204	−	0.310390i	−0.762404	−	0.647101i	$-0.775981\pi$
$719$	4.80520	−	8.32285i	0.179204	−	0.310390i	0.941608	+	0.336711i	$0.109315\pi$
$720$	2.86176	−	10.9364i	0.106652	−	0.407574i
$721$	1.92411	+	0.515563i	0.0716575	+	0.0192006i
$722$	10.8704	+	7.61156i	0.404556	+	0.283273i
$723$	28.2709	+	19.6722i	1.05141	+	0.731618i
$724$	17.5777	−	6.39775i	0.653269	−	0.237771i
$725$	−1.75960	+	9.97917i	−0.0653498	+	0.370617i
$726$	18.3769	−	4.98188i	0.682032	−	0.184895i
$727$	15.7298	+	18.7460i	0.583385	+	0.695251i	0.974320	−	0.225167i	$-0.0722928\pi$
$727$	15.7298	+	18.7460i	0.583385	+	0.695251i	−0.390935	+	0.920418i	$0.627848\pi$
$728$	2.32936	−	0.887519i	0.0863317	−	0.0328936i
$729$	−26.9958	+	0.474945i	−0.999845	+	0.0175906i
$730$	−5.60566	+	5.60566i	−0.207475	+	0.207475i
$731$	0.615230	+	0.733202i	0.0227551	+	0.0271185i
$732$	6.01892	−	10.4960i	0.222466	−	0.387944i
$733$	28.9549	+	41.3519i	1.06947	+	1.52737i	0.831043	+	0.556207i	$0.187744\pi$
$733$	28.9549	+	41.3519i	1.06947	+	1.52737i	0.238430	+	0.971160i	$0.423367\pi$
$734$	−11.5432	−	5.38267i	−0.426066	−	0.198678i
$735$	24.3133	−	34.9406i	0.896809	−	1.28880i
$736$	3.50854	−	5.01072i	0.129327	−	0.184698i
$737$	−0.381087	+	0.220020i	−0.0140375	+	0.00810456i
$738$	19.4286	−	11.3695i	0.715177	−	0.418518i
$739$	51.9632	−	13.9235i	1.91150	−	0.512185i	0.918279	−	0.395935i	$-0.129579\pi$
$739$	51.9632	−	13.9235i	1.91150	−	0.512185i	0.993220	−	0.116250i	$-0.0370873\pi$
$740$	28.4487	+	10.3545i	1.04580	+	0.380638i
$741$	−6.55896	−	13.4327i	−0.240950	−	0.493461i
$742$	−6.36507	−	5.34092i	−0.233669	−	0.196072i
$743$	−0.115686	−	1.32230i	−0.00424413	−	0.0485106i	0.993777	−	0.111385i	$-0.0355287\pi$
$743$	−0.115686	−	1.32230i	−0.00424413	−	0.0485106i	−0.998021	+	0.0628746i	$0.979973\pi$
$744$	2.30490	−	13.2996i	0.0845016	−	0.487588i
$745$	9.18483	−	25.2351i	0.336506	−	0.924543i
$746$	25.9251	−	6.94662i	0.949186	−	0.254334i
$747$	15.3654	+	32.4530i	0.562190	+	1.18739i
$748$	−0.0721308	+	0.269196i	−0.00263736	+	0.00984277i
$749$	−11.2554	−	7.88113i	−0.411264	−	0.287970i
$750$	−9.29836	+	25.7820i	−0.339528	+	0.941425i
$751$	9.20740	+	25.2971i	0.335983	+	0.923105i	0.986521	+	0.163632i	$0.0523210\pi$
$751$	9.20740	+	25.2971i	0.335983	+	0.923105i	−0.650539	+	0.759473i	$0.725457\pi$
$752$	−1.80491	−	2.57767i	−0.0658181	−	0.0939980i
$753$	0.100538	+	34.2907i	0.00366379	+	1.24962i
$754$	−1.08522	−	3.82041i	−0.0395212	−	0.139131i
$755$			79.5897i			2.89656i
$756$	−2.56244	−	2.51775i	−0.0931949	−	0.0915698i
$757$	−40.9394			−1.48797			−0.743985	−	0.668197i	$-0.767066\pi$
$757$	−40.9394			−1.48797			−0.743985	+	0.668197i	$0.767066\pi$
$758$	−6.24381	+	5.23918i	−0.226785	+	0.190296i
$759$	−0.228612	+	0.863309i	−0.00829810	+	0.0313361i
$760$	−5.17355	−	7.38859i	−0.187664	−	0.268012i
$761$	−0.995283	+	2.13439i	−0.0360790	+	0.0773716i	−0.923521	−	0.383547i	$-0.874702\pi$
$761$	−0.995283	+	2.13439i	−0.0360790	+	0.0773716i	0.887442	+	0.460919i	$0.152480\pi$
$762$	−18.5489	−	1.56803i	−0.671954	−	0.0568037i
$763$	0.757915	+	4.29835i	0.0274384	+	0.155611i
$764$	−6.61273	−	11.4536i	−0.239240	−	0.414376i
$765$	33.9661	+	15.5968i	1.22805	+	0.563905i
$766$	−9.03414	−	5.21586i	−0.326417	−	0.188457i
$767$	−21.8006	+	22.4632i	−0.787174	+	0.811098i
$768$	0.597166	+	1.62585i	0.0215484	+	0.0586679i
$769$	37.1794	−	3.25278i	1.34072	−	0.117298i	0.605892	−	0.795547i	$-0.292816\pi$
$769$	37.1794	−	3.25278i	1.34072	−	0.117298i	0.734832	+	0.678249i	$0.237261\pi$
$770$	−0.141152	+	0.168219i	−0.00508678	+	0.00606218i
$771$	15.6811	+	42.6934i	0.564739	+	1.53757i
$772$	−1.04718	+	0.488307i	−0.0376888	+	0.0175746i
$773$	11.6170	−	3.11276i	0.417834	−	0.111958i	−0.0437758	−	0.999041i	$-0.513939\pi$
$773$	11.6170	−	3.11276i	0.417834	−	0.111958i	0.461610	+	0.887083i	$0.347272\pi$
$774$	−0.864705	+	0.0807639i	−0.0310812	+	0.00290300i
$775$	−18.5547	+	69.2472i	−0.666506	+	2.48743i
$776$	−7.61502	+	1.34273i	−0.273363	+	0.0482013i
$777$	7.35168	−	6.20561i	0.263740	−	0.222625i
$778$	−19.1941	−	8.95036i	−0.688142	−	0.320886i
$779$	3.11892	−	17.6883i	0.111747	−	0.633748i
$780$	−2.47024	−	23.4024i	−0.0884488	−	0.837939i
$781$	0.959973	−	0.805513i	0.0343505	−	0.0288235i
$782$	14.3007	+	14.3007i	0.511392	+	0.511392i
$783$	−4.35202	+	3.71749i	−0.155528	+	0.132852i
$784$			6.52203i			0.232930i
$785$	63.5050	+	5.55597i	2.26659	+	0.198301i
$786$	−8.11974	−	8.07227i	−0.289622	−	0.287928i
$787$	4.29056	−	3.00428i	0.152942	−	0.107091i	−0.494601	−	0.869120i	$-0.664686\pi$
$787$	4.29056	−	3.00428i	0.152942	−	0.107091i	0.647543	+	0.762029i	$0.275797\pi$
$788$	−3.28744	+	7.04995i	−0.117110	+	0.251144i
$789$	20.1750	+	7.27619i	0.718249	+	0.259039i
$790$	−25.1658	+	4.43741i	−0.895360	+	0.157876i
$791$	12.6255	+	3.38298i	0.448910	+	0.120285i
$792$	−0.163679	−	0.192758i	−0.00581608	−	0.00684937i
$793$	4.00191	−	24.8668i	0.142112	−	0.883047i
$794$	−8.67259	+	23.8277i	−0.307779	+	0.845615i
$795$	−64.1229	+	45.1801i	−2.27420	+	1.60237i
$796$	−8.96467	−	7.52225i	−0.317744	−	0.266619i
$797$	1.65453	+	1.38831i	0.0586064	+	0.0491766i	0.671620	−	0.740895i	$-0.265599\pi$
$797$	1.65453	+	1.38831i	0.0586064	+	0.0491766i	−0.613014	+	0.790072i	$0.710043\pi$
$798$	−2.85467	+	0.258187i	−0.101054	+	0.00913971i
$799$	9.42923	−	4.39692i	0.333582	−	0.155552i
$800$	−2.38095	−	8.88583i	−0.0841793	−	0.314161i
$801$	−2.87252	−	10.4743i	−0.101496	−	0.370092i
$802$	−9.49610	−	16.4477i	−0.335319	−	0.580789i
$803$	0.0307940	+	0.174641i	0.00108670	+	0.00616296i
$804$	−7.42198	−	5.16456i	−0.261753	−	0.182140i
$805$	5.45030	+	14.9746i	0.192098	+	0.527784i
$806$	−5.29278	−	27.5951i	−0.186430	−	0.971995i
$807$	15.6267	−	27.2504i	0.550085	−	0.959259i
$808$	−0.610648	+	6.97974i	−0.0214825	+	0.245546i
$809$		−	19.5487i		−	0.687296i	−0.939099	−	0.343648i	$-0.888337\pi$
$809$		−	19.5487i		−	0.687296i	0.939099	−	0.343648i	$-0.111663\pi$
$810$	−29.1693	+	17.3001i	−1.02490	+	0.607865i
$811$	5.24983	−	5.24983i	0.184347	−	0.184347i	−0.608900	−	0.793247i	$-0.708389\pi$
$811$	5.24983	−	5.24983i	0.184347	−	0.184347i	0.793247	+	0.608900i	$0.208389\pi$
$812$	−0.758635	−	0.0663720i	−0.0266229	−	0.00232920i
$813$	−3.95979	−	14.6067i	−0.138876	−	0.512279i
$814$	0.554748	−	0.388439i	0.0194439	−	0.0136148i
$815$	−0.290936	−	0.799339i	−0.0101910	−	0.0279996i
$816$	−5.63667	+	1.01095i	−0.197323	+	0.0353902i
$817$	−0.397455	+	0.567625i	−0.0139052	+	0.0198587i
$818$	6.86615	+	11.8925i	0.240069	+	0.415812i
$819$	−6.84184	−	3.01853i	−0.239073	−	0.105476i
$820$	14.1375	−	24.4869i	0.493704	−	0.855120i
$821$	14.6378	+	31.3909i	0.510863	+	1.09555i	0.977468	+	0.211084i	$0.0676994\pi$
$821$	14.6378	+	31.3909i	0.510863	+	1.09555i	−0.466604	+	0.884466i	$0.654523\pi$
$822$	10.9499	−	13.1276i	0.381922	−	0.457877i
$823$	−2.61001	+	3.11049i	−0.0909792	+	0.108425i	−0.809613	−	0.586964i	$-0.800323\pi$
$823$	−2.61001	+	3.11049i	−0.0909792	+	0.108425i	0.718634	+	0.695388i	$0.244768\pi$
$824$	0.251120	+	2.87032i	0.00874819	+	0.0999923i
$825$	0.773582	+	1.09792i	0.0269327	+	0.0382248i
$826$	2.53664	+	5.43984i	0.0882609	+	0.189276i
$827$	4.41990	+	16.4953i	0.153695	+	0.573598i	0.999214	+	0.0396517i	$0.0126248\pi$
$827$	4.41990	+	16.4953i	0.153695	+	0.573598i	−0.845518	+	0.533946i	$0.820709\pi$
$828$	−18.0531	+	3.29251i	−0.627388	+	0.114423i
$829$	−22.6642	+	13.0852i	−0.787161	+	0.454467i	−0.838962	−	0.544190i	$-0.816837\pi$
$829$	−22.6642	+	13.0852i	−0.787161	+	0.454467i	0.0518014	+	0.998657i	$0.483504\pi$
$830$	36.9447	+	25.8690i	1.28237	+	0.897924i
$831$	−24.4518	−	8.81863i	−0.848224	−	0.305915i
$832$	2.35868	+	2.72702i	0.0817726	+	0.0945423i
$833$	−21.2359	−	3.74447i	−0.735782	−	0.129738i
$834$	−3.48057	+	3.50104i	−0.120522	+	0.121231i
$835$	−9.64907	+	8.09653i	−0.333920	+	0.280192i
$836$	−0.201768			−0.00697828
$837$	−32.9649	+	23.5170i	−1.13943	+	0.812868i
$838$	−23.7758	+	23.7758i	−0.821322	+	0.821322i
$839$	4.03219	−	46.0882i	0.139207	−	1.59114i	−0.529957	−	0.848025i	$-0.677792\pi$
$839$	4.03219	−	46.0882i	0.139207	−	1.59114i	0.669163	−	0.743115i	$-0.266653\pi$
$840$	−4.36191	−	1.15507i	−0.150500	−	0.0398538i
$841$	4.82511	−	27.3645i	0.166383	−	0.943605i
$842$	20.1630	−	7.33872i	0.694861	−	0.252909i
$843$	−55.7093	−	4.70939i	−1.91873	−	0.162200i
$844$	19.5265	−	3.44304i	0.672129	−	0.118514i
$845$	−22.0221	−	43.7573i	−0.757584	−	1.50530i
$846$	−1.58474	+	9.30630i	−0.0544846	+	0.319957i
$847$	−1.96702	−	7.34101i	−0.0675875	−	0.252240i
$848$	4.11056	−	11.2937i	0.141157	−	0.387826i
$849$	22.8990	−	8.41067i	0.785892	−	0.288653i
$850$	30.2995	−	2.65086i	1.03926	−	0.0909238i
$851$	−4.28327	−	48.9580i	−0.146828	−	1.67826i
$852$	23.3693	+	10.8140i	0.800619	+	0.370481i
$853$	−10.3795	−	22.2589i	−0.355388	−	0.762131i	0.644610	−	0.764512i	$-0.277020\pi$
$853$	−10.3795	−	22.2589i	−0.355388	−	0.762131i	−0.999997	+	0.00238071i	$0.999242\pi$
$854$	−4.18246	−	2.41474i	−0.143121	−	0.0826308i
$855$	−4.54248	+	26.6754i	−0.155349	+	0.912280i
$856$	5.14392	−	19.1974i	0.175815	−	0.656152i
$857$	−4.40190	−	24.9644i	−0.150366	−	0.852769i	−0.962901	−	0.269856i	$-0.913024\pi$
$857$	−4.40190	−	24.9644i	−0.150366	−	0.852769i	0.812534	−	0.582913i	$-0.198087\pi$
$858$	−0.460518	−	0.255001i	−0.0157218	−	0.00870558i
$859$	1.98642	−	0.722999i	0.0677759	−	0.0246684i	−0.307910	−	0.951416i	$-0.599629\pi$
$859$	1.98642	−	0.722999i	0.0677759	−	0.0246684i	0.375686	+	0.926747i	$0.377407\pi$
$860$	−0.893574	+	0.625687i	−0.0304706	+	0.0213358i
$861$	−4.51542	−	7.76825i	−0.153885	−	0.264741i
$862$	−5.93901	−	7.07784i	−0.202284	−	0.241072i
$863$	3.45013	+	3.45013i	0.117444	+	0.117444i	0.763386	−	0.645942i	$-0.223535\pi$
$863$	3.45013	+	3.45013i	0.117444	+	0.117444i	−0.645942	+	0.763386i	$0.723535\pi$
$864$	2.15448	−	4.72845i	0.0732970	−	0.160865i
$865$	3.57857	+	3.57857i	0.121675	+	0.121675i
$866$	−3.46453	+	39.5997i	−0.117729	+	1.34565i
$867$	0.0308179	+	10.5111i	0.00104663	+	0.356977i
$868$	−5.30586	−	0.935566i	−0.180093	−	0.0317552i
$869$	−0.241581	+	0.518071i	−0.00819506	+	0.0175744i
$870$	−2.43905	+	6.76285i	−0.0826914	+	0.229282i
$871$	−18.2520	−	4.59896i	−0.618446	−	0.155830i
$872$	−5.46740	+	3.15661i	−0.185150	+	0.106896i
$873$	19.0800	+	13.1939i	0.645759	+	0.446545i
$874$	−7.32098	+	12.6803i	−0.247636	+	0.428918i
$875$	10.2800	+	3.74162i	0.347528	+	0.126490i
$876$	−2.97879	+	2.09881i	−0.100644	+	0.0709122i
$877$	−5.51461	+	0.482466i	−0.186215	+	0.0162917i	−0.179882	−	0.983688i	$-0.557572\pi$
$877$	−5.51461	+	0.482466i	−0.186215	+	0.0162917i	−0.00633337	+	0.999980i	$0.502016\pi$
$878$	11.3586	−	0.993749i	0.383334	−	0.0335374i
$879$	3.98086	+	44.0147i	0.134271	+	1.48458i
$880$	−0.298474	−	0.108636i	−0.0100616	−	0.00366211i
$881$	7.01335	−	12.1475i	0.236286	−	0.409259i	−0.723360	−	0.690471i	$-0.757403\pi$
$881$	7.01335	−	12.1475i	0.236286	−	0.409259i	0.959646	+	0.281212i	$0.0907366\pi$
$882$	13.7540	−	13.9162i	0.463120	−	0.468583i
$883$	19.4526	−	11.2310i	0.654632	−	0.377952i	−0.135596	−	0.990764i	$-0.543295\pi$
$883$	19.4526	−	11.2310i	0.654632	−	0.377952i	0.790229	+	0.612812i	$0.209962\pi$
$884$	−10.2334	+	6.11429i	−0.344187	+	0.205646i
$885$	55.7737	−	10.0031i	1.87481	−	0.336251i
$886$	3.70697	−	7.94962i	0.124538	−	0.267073i
$887$	10.5468	+	1.85969i	0.354128	+	0.0624423i	0.347882	−	0.937538i	$-0.386901\pi$
$887$	10.5468	+	1.85969i	0.354128	+	0.0624423i	0.00624553	+	0.999980i	$0.498012\pi$
$888$	12.0717	+	6.92247i	0.405099	+	0.232303i
$889$	−0.647588	+	7.40196i	−0.0217194	+	0.248254i
$890$	−9.64650	−	9.64650i	−0.323352	−	0.323352i
$891$	−0.0572515	+	0.756466i	−0.00191800	+	0.0253426i
$892$	−5.28839	−	5.28839i	−0.177068	−	0.177068i
$893$	4.84166	+	5.77007i	0.162020	+	0.193088i
$894$	6.14051	−	10.7080i	0.205369	−	0.358131i
$895$	−27.6802	+	19.3819i	−0.925248	+	0.647866i
$896$	0.649659	−	0.236457i	0.0217036	−	0.00789946i
$897$	−32.7353	+	19.6893i	−1.09300	+	0.657405i
$898$	−3.30208	−	18.7270i	−0.110192	−	0.624929i
$899$	−2.22172	+	8.29158i	−0.0740986	+	0.276540i
$900$	−13.6585	+	23.9809i	−0.455285	+	0.799365i
$901$	34.4126	+	19.8681i	1.14645	+	0.661902i
$902$	−0.267304	−	0.573235i	−0.00890025	−	0.0190867i
$903$	0.0312250	+	0.345242i	0.00103910	+	0.0114889i
$904$	1.64778	+	18.8342i	0.0548044	+	0.626418i
$905$	−70.2188	+	6.14335i	−2.33415	+	0.204212i
$906$	−6.24698	+	36.0461i	−0.207542	+	1.19755i
$907$	10.9241	−	30.0138i	0.362730	−	0.996592i	−0.615330	−	0.788269i	$-0.710977\pi$
$907$	10.9241	−	30.0138i	0.362730	−	0.996592i	0.978060	−	0.208323i	$-0.0668004\pi$
$908$	−6.11470	−	22.8204i	−0.202923	−	0.757321i
$909$	16.0221	−	13.6051i	0.531421	−	0.451252i
$910$	−9.34396	+	0.958612i	−0.309749	+	0.0317777i
$911$	−27.4424	+	4.83884i	−0.909208	+	0.160318i	−0.608644	−	0.793444i	$-0.708286\pi$
$911$	−27.4424	+	4.83884i	−0.909208	+	0.160318i	−0.300564	+	0.953762i	$0.597175\pi$
$912$	−1.76317	−	3.75236i	−0.0583842	−	0.124253i
$913$	0.948042	−	0.345059i	0.0313756	−	0.0114198i
$914$	−1.63984	+	9.29999i	−0.0542410	+	0.307616i
$915$	−32.1442	+	32.3333i	−1.06266	+	1.06890i
$916$	0.446787	−	5.10680i	0.0147622	−	0.168733i
$917$	−3.23156	+	3.23156i	−0.106715	+	0.106715i
$918$	14.1590	+	9.72979i	0.467317	+	0.321131i
$919$	47.1438			1.55513			0.777565	−	0.628803i	$-0.216455\pi$
$919$	47.1438			1.55513			0.777565	+	0.628803i	$0.216455\pi$
$920$	−17.6572	+	14.8162i	−0.582142	+	0.488475i
$921$	−8.69130	−	2.30154i	−0.286388	−	0.0758382i
$922$	2.40136	+	0.423424i	0.0790845	+	0.0139447i
$923$	53.4630	+	3.87208i	1.75976	+	0.127451i
$924$	−0.0771312	+	0.0651071i	−0.00253743	+	0.00214187i
$925$	−60.5428	−	42.3925i	−1.99063	−	1.39386i
$926$	18.0446	−	10.4180i	0.592981	−	0.342358i
$927$	5.51724	−	6.65404i	0.181210	−	0.218547i
$928$	−0.285092	−	1.06398i	−0.00935861	−	0.0349268i
$929$	−17.2072	−	36.9009i	−0.564549	−	1.21068i	−0.956780	−	0.290812i	$-0.906075\pi$
$929$	−17.2072	−	36.9009i	−0.564549	−	1.21068i	0.392231	−	0.919867i	$-0.371703\pi$
$930$	−21.3602	+	46.1600i	−0.700429	+	1.51365i
$931$	−1.36064	−	15.5522i	−0.0445931	−	0.509702i
$932$	0.695150	−	0.828447i	0.0227704	−	0.0271367i
$933$	14.9126	+	40.6014i	0.488218	+	1.32923i
$934$	9.04586	+	19.3989i	0.295989	+	0.634751i
$935$	0.525083	−	0.909470i	0.0171720	−	0.0297428i
$936$	0.718079	−	10.7928i	0.0234711	−	0.352773i
$937$	−10.4018	−	18.0164i	−0.339811	−	0.588570i	0.644586	−	0.764532i	$-0.277030\pi$
$937$	−10.4018	−	18.0164i	−0.339811	−	0.588570i	−0.984397	+	0.175962i	$0.943696\pi$
$938$	−2.07013	+	2.95645i	−0.0675920	+	0.0965314i
$939$	2.75793	+	3.26727i	0.0900015	+	0.106623i
$940$	4.05553	+	11.1425i	0.132277	+	0.363428i
$941$	20.0011	−	14.0049i	0.652017	−	0.456547i	−0.200186	−	0.979758i	$-0.564155\pi$
$941$	20.0011	−	14.0049i	0.652017	−	0.456547i	0.852203	+	0.523210i	$0.175266\pi$
$942$	28.3253	+	7.50080i	0.922887	+	0.244389i
$943$	−45.7246	−	4.00038i	−1.48900	−	0.130270i
$944$	−6.13897	+	6.13897i	−0.199806	+	0.199806i
$945$	6.87123	+	11.6632i	0.223521	+	0.379404i
$946$			0.0244017i			0.000793368i
$947$	5.12171	−	58.5414i	0.166433	−	1.90234i	−0.212891	−	0.977076i	$-0.568288\pi$
$947$	5.12171	−	58.5414i	0.166433	−	1.90234i	0.379324	−	0.925264i	$-0.376157\pi$
$948$	−11.7459	+	0.0344380i	−0.381488	+	0.00111849i
$949$	−4.25734	+	6.27804i	−0.138199	+	0.203794i
$950$	7.53130	+	20.6921i	0.244348	+	0.671339i
$951$	−13.2111	+	6.20764i	−0.428398	+	0.201297i
$952$	0.396924	+	2.25107i	0.0128644	+	0.0729575i
$953$	−15.2748	−	26.4568i	−0.494800	−	0.857019i	0.505182	−	0.863013i	$-0.331425\pi$
$953$	−15.2748	−	26.4568i	−0.494800	−	0.857019i	−0.999982	+	0.00599410i	$0.998092\pi$
$954$	−32.5874	+	15.4290i	−1.05506	+	0.499533i
$955$	12.8985	+	48.1380i	0.417387	+	1.55771i
$956$	5.74369	−	2.67833i	0.185764	−	0.0866233i
$957$	0.0926277	+	0.131464i	0.00299423	+	0.00424963i
$958$	−13.7927	−	11.5735i	−0.445623	−	0.373922i
$959$	−5.22707	−	4.38604i	−0.168791	−	0.141632i
$960$	−0.587900	−	6.50017i	−0.0189744	−	0.209792i
$961$	−10.1685	+	27.9378i	−0.328018	+	0.901221i
$962$	28.5998	+	4.60267i	0.922094	+	0.148396i
$963$	−51.4599	+	30.1141i	−1.65827	+	0.970414i
$964$	19.2074	+	5.14662i	0.618630	+	0.165761i
$965$	4.28775	−	0.756046i	0.138028	−	0.0243380i
$966$	1.29308	+	7.20976i	0.0416042	+	0.231970i
$967$	18.2011	−	39.0323i	0.585307	−	1.25520i	−0.361192	−	0.932491i	$-0.617630\pi$
$967$	18.2011	−	39.0323i	0.585307	−	1.25520i	0.946500	−	0.322704i	$-0.104592\pi$
$968$	9.00485	−	6.30527i	0.289427	−	0.202659i
$969$	13.2301	−	3.58659i	0.425011	−	0.115218i
$970$	29.0267	+	2.53950i	0.931990	+	0.0815386i
$971$		−	41.8891i		−	1.34429i	−0.740422	−	0.672143i	$-0.765374\pi$
$971$		−	41.8891i		−	1.34429i	0.740422	−	0.672143i	$-0.234626\pi$
$972$	−14.5686	+	5.54572i	−0.467289	+	0.177879i
$973$	1.39337	+	1.39337i	0.0446695	+	0.0446695i
$974$	16.9020	−	14.1824i	0.541574	−	0.454435i
$975$	−8.96178	+	56.7462i	−0.287007	+	1.81733i
$976$	1.21303	−	6.87943i	0.0388281	−	0.220205i
$977$	32.9132	+	15.3477i	1.05299	+	0.491016i	0.870488	−	0.492190i	$-0.163804\pi$
$977$	32.9132	+	15.3477i	1.05299	+	0.491016i	0.182499	+	0.983206i	$0.441581\pi$
$978$	−0.0690245	−	0.384856i	−0.00220716	−	0.0123063i
$979$	−0.300532	+	0.0529919i	−0.00960504	+	0.00169363i
$980$	6.36081	−	23.7389i	0.203189	−	0.758310i
$981$	18.3227	+	4.79458i	0.584999	+	0.153079i
$982$	−30.2758	+	8.11237i	−0.966138	+	0.258876i
$983$	12.6368	−	5.89266i	0.403053	−	0.187947i	−0.210512	−	0.977591i	$-0.567513\pi$
$983$	12.6368	−	5.89266i	0.403053	−	0.187947i	0.613564	+	0.789645i	$0.289735\pi$
$984$	8.32484	−	9.98044i	0.265386	−	0.318165i
$985$	18.8413	−	22.4542i	0.600334	−	0.715450i
$986$	3.62802	−	0.317411i	0.115540	−	0.0101084i
$987$	3.71277	+	0.643443i	0.118179	+	0.0204810i
$988$	−6.19333	−	6.01066i	−0.197036	−	0.191225i
$989$	1.53355	+	0.885398i	0.0487642	+	0.0281540i
$990$	0.407765	+	0.861234i	0.0129596	+	0.0273718i
$991$	−28.6979	−	49.7062i	−0.911619	−	1.57897i	−0.811777	−	0.583968i	$-0.801499\pi$
$991$	−28.6979	−	49.7062i	−0.911619	−	1.57897i	−0.0998424	−	0.995003i	$-0.531834\pi$
$992$	−1.35324	−	7.67461i	−0.0429654	−	0.243669i
$993$	1.91226	+	4.06965i	0.0606836	+	0.129147i
$994$	4.34376	−	9.31522i	0.137776	−	0.295461i
$995$	25.2933	+	36.1225i	0.801850	+	1.14516i
$996$	14.7018	+	14.6158i	0.465843	+	0.463120i
$997$	25.3529	−	21.2736i	0.802934	−	0.673741i	−0.145976	−	0.989288i	$-0.546632\pi$
$997$	25.3529	−	21.2736i	0.802934	−	0.673741i	0.948910	+	0.315547i	$0.102188\pi$
$998$	−5.50841			−0.174366
$999$	−11.1592	−	40.2279i	−0.353061	−	1.27276i

Display

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instead) (See

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instead) Display

a_n

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	702.2.bs.a.5.18	✓	504
13.8	odd	4	inner	702.2.bs.a.437.39	yes	504
27.11	odd	18	inner	702.2.bs.a.551.39	yes	504
351.281	even	36	inner	702.2.bs.a.281.18	yes	504

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
702.2.bs.a.5.18	✓	504	1.1	even	1	trivial
702.2.bs.a.281.18	yes	504	351.281	even	36	inner
702.2.bs.a.437.39	yes	504	13.8	odd	4	inner
702.2.bs.a.551.39	yes	504	27.11	odd	18	inner

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	702.2.bs.a.5.18

Level	$702$
Weight	$2$
Character	702.5
Analytic conductor	$5.605$
Analytic rank	$0$
Dimension	$504$
Inner twists	$4$