LMFDB - Embedded newform 308.2.l.a.243.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("308.199");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.45939238226$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$40$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			243.8
Character	$\chi$	$=$	308.243
Dual form			308.2.l.a.199.8

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.15584 + 0.814885i) q^{2} +(-0.154491 - 0.267586i) q^{3} +(0.671923 - 1.88375i) q^{4} +(3.53912 + 2.04331i) q^{5} +(0.396618 + 0.183393i) q^{6} +(-0.342383 - 2.62350i) q^{7} +(0.758407 + 2.72485i) q^{8} +(1.45227 - 2.51540i) q^{9} +(-5.75572 + 0.522240i) q^{10} +(-0.866025 + 0.500000i) q^{11} +(-0.607871 + 0.111225i) q^{12} -2.36483i q^{13} +(2.53359 + 2.75334i) q^{14} -1.26269i q^{15} +(-3.09704 - 2.53147i) q^{16} +(-3.07361 + 1.77455i) q^{17} +(0.371177 + 4.09082i) q^{18} +(2.52679 - 4.37653i) q^{19} +(6.22712 - 5.29388i) q^{20} +(-0.649117 + 0.496924i) q^{21} +(0.593542 - 1.28363i) q^{22} +(5.62366 + 3.24682i) q^{23} +(0.611965 - 0.623903i) q^{24} +(5.85027 + 10.1330i) q^{25} +(1.92707 + 2.73336i) q^{26} -1.82439 q^{27} +(-5.17208 - 1.11783i) q^{28} +0.515349 q^{29} +(1.02895 + 1.45947i) q^{30} +(1.22738 + 2.12589i) q^{31} +(5.64254 + 0.402242i) q^{32} +(0.267586 + 0.154491i) q^{33} +(2.10654 - 4.55573i) q^{34} +(4.14891 - 9.98450i) q^{35} +(-3.76257 - 4.42586i) q^{36} +(1.77246 - 3.07000i) q^{37} +(0.645810 + 7.11761i) q^{38} +(-0.632795 + 0.365344i) q^{39} +(-2.88363 + 11.1933i) q^{40} +1.01797i q^{41} +(0.345339 - 1.10332i) q^{42} +8.31609i q^{43} +(0.359973 + 1.96734i) q^{44} +(10.2795 - 5.93487i) q^{45} +(-9.14583 + 0.829838i) q^{46} +(-5.07991 + 8.79867i) q^{47} +(-0.198922 + 1.21981i) q^{48} +(-6.76555 + 1.79649i) q^{49} +(-15.0192 - 6.94476i) q^{50} +(0.949688 + 0.548302i) q^{51} +(-4.45475 - 1.58898i) q^{52} +(-3.42669 - 5.93521i) q^{53} +(2.10870 - 1.48667i) q^{54} -4.08663 q^{55} +(6.88900 - 2.92263i) q^{56} -1.56146 q^{57} +(-0.595660 + 0.419950i) q^{58} +(-1.53574 - 2.65998i) q^{59} +(-2.37860 - 0.848432i) q^{60} +(0.428509 + 0.247400i) q^{61} +(-3.15101 - 1.45700i) q^{62} +(-7.09639 - 2.94880i) q^{63} +(-6.84964 + 4.13309i) q^{64} +(4.83209 - 8.36943i) q^{65} +(-0.435178 + 0.0394855i) q^{66} +(-5.70862 + 3.29587i) q^{67} +(1.27758 + 6.98228i) q^{68} -2.00641i q^{69} +(3.34076 + 14.9214i) q^{70} -12.8512i q^{71} +(7.95549 + 2.04951i) q^{72} +(2.65883 - 1.53507i) q^{73} +(0.453015 + 4.99278i) q^{74} +(1.80762 - 3.13089i) q^{75} +(-6.54649 - 7.70055i) q^{76} +(1.60826 + 2.10083i) q^{77} +(0.433695 - 0.937934i) q^{78} +(0.368544 + 0.212779i) q^{79} +(-5.78821 - 15.2874i) q^{80} +(-4.07494 - 7.05801i) q^{81} +(-0.829531 - 1.17661i) q^{82} -10.6417 q^{83} +(0.499923 + 1.55667i) q^{84} -14.5038 q^{85} +(-6.77666 - 9.61206i) q^{86} +(-0.0796166 - 0.137900i) q^{87} +(-2.01923 - 1.98059i) q^{88} +(11.1142 + 6.41679i) q^{89} +(-7.04519 + 15.2364i) q^{90} +(-6.20414 + 0.809677i) q^{91} +(9.89487 - 8.41196i) q^{92} +(0.379238 - 0.656859i) q^{93} +(-1.29835 - 14.3094i) q^{94} +(17.8853 - 10.3261i) q^{95} +(-0.764085 - 1.57200i) q^{96} +5.55504i q^{97} +(6.35595 - 7.58959i) q^{98} +2.90453i q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$80 q + 12 q^{8} - 40 q^{9} - 18 q^{10} - 30 q^{12} - 4 q^{14} - 4 q^{16} - 10 q^{18} - 8 q^{21} + 40 q^{25} + 30 q^{26} + 16 q^{28} - 16 q^{29} + 36 q^{30} - 20 q^{32} - 20 q^{36} - 8 q^{37} - 12 q^{38}+ \cdots + 78 q^{98}+O(q^{100})$ 80 * q + 12 * q^8 - 40 * q^9 - 18 * q^10 - 30 * q^12 - 4 * q^14 - 4 * q^16 - 10 * q^18 - 8 * q^21 + 40 * q^25 + 30 * q^26 + 16 * q^28 - 16 * q^29 + 36 * q^30 - 20 * q^32 - 20 * q^36 - 8 * q^37 - 12 * q^38 - 60 * q^40 + 4 * q^44 + 24 * q^45 - 10 * q^46 - 24 * q^49 - 64 * q^50 + 54 * q^52 - 30 * q^54 + 38 * q^56 + 80 * q^57 + 10 * q^58 - 12 * q^60 - 36 * q^64 - 16 * q^65 + 30 * q^66 + 60 * q^68 - 22 * q^70 - 38 * q^72 - 72 * q^73 + 28 * q^74 - 24 * q^78 + 42 * q^80 - 64 * q^81 - 90 * q^82 + 88 * q^84 - 2 * q^86 + 12 * q^88 - 120 * q^89 + 36 * q^92 + 8 * q^93 - 54 * q^94 - 42 * q^96 + 78 * q^98

Character values

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

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

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	−1.15584	+	0.814885i	−0.817301	+	0.576211i
$2$	−1.15584	+	0.814885i	−0.817301	+	0.576211i
$3$	−0.154491	−	0.267586i	−0.0891952	−	0.154491i	0.817976	−	0.575252i	$-0.195096\pi$
$3$	−0.154491	−	0.267586i	−0.0891952	−	0.154491i	−0.907171	+	0.420762i	$0.861763\pi$
$4$	0.671923	−	1.88375i	0.335962	−	0.941876i
$5$	3.53912	+	2.04331i	1.58274	+	0.913798i	0.994457	+	0.105146i	$0.0335310\pi$
$5$	3.53912	+	2.04331i	1.58274	+	0.913798i	0.588288	+	0.808652i	$0.299802\pi$
$6$	0.396618	+	0.183393i	0.161919	+	0.0748701i
$7$	−0.342383	−	2.62350i	−0.129409	−	0.991591i
$7$	−0.342383	−	2.62350i	−0.129409	−	0.991591i
$8$	0.758407	+	2.72485i	0.268137	+	0.963381i
$9$	1.45227	−	2.51540i	0.484088	−	0.838466i
$10$	−5.75572	+	0.522240i	−1.82012	+	0.165147i
$11$	−0.866025	+	0.500000i	−0.261116	+	0.150756i
$11$	−0.866025	+	0.500000i	−0.261116	+	0.150756i
$12$	−0.607871	+	0.111225i	−0.175477	+	0.0321079i
$13$		−	2.36483i		−	0.655886i	−0.944698	−	0.327943i	$-0.893645\pi$
$13$		−	2.36483i		−	0.655886i	0.944698	−	0.327943i	$-0.106355\pi$
$14$	2.53359	+	2.75334i	0.677132	+	0.735862i
$15$		−	1.26269i		−	0.326026i
$16$	−3.09704	−	2.53147i	−0.774259	−	0.632868i
$17$	−3.07361	+	1.77455i	−0.745460	+	0.430391i	−0.824051	−	0.566516i	$-0.808291\pi$
$17$	−3.07361	+	1.77455i	−0.745460	+	0.430391i	0.0785914	+	0.996907i	$0.474958\pi$
$18$	0.371177	+	4.09082i	0.0874873	+	0.964216i
$19$	2.52679	−	4.37653i	0.579686	−	1.00405i	−0.415829	−	0.909443i	$-0.636508\pi$
$19$	2.52679	−	4.37653i	0.579686	−	1.00405i	0.995515	−	0.0946031i	$-0.0301582\pi$
$20$	6.22712	−	5.29388i	1.39243	−	1.18375i
$21$	−0.649117	+	0.496924i	−0.141649	+	0.108438i
$22$	0.593542	−	1.28363i	0.126544	−	0.273671i
$23$	5.62366	+	3.24682i	1.17261	+	0.677009i	0.954294	−	0.298868i	$-0.0966092\pi$
$23$	5.62366	+	3.24682i	1.17261	+	0.677009i	0.218319	+	0.975877i	$0.429943\pi$
$24$	0.611965	−	0.623903i	0.124917	−	0.127354i
$25$	5.85027	+	10.1330i	1.17005	+	2.02659i
$26$	1.92707	+	2.73336i	0.377929	+	0.536056i
$27$	−1.82439			−0.351104
$28$	−5.17208	−	1.11783i	−0.977432	−	0.211250i
$29$	0.515349			0.0956979			0.0478489	−	0.998855i	$-0.484763\pi$
$29$	0.515349			0.0956979			0.0478489	+	0.998855i	$0.484763\pi$
$30$	1.02895	+	1.45947i	0.187860	+	0.266461i
$31$	1.22738	+	2.12589i	0.220444	+	0.381820i	0.954943	−	0.296790i	$-0.0959160\pi$
$31$	1.22738	+	2.12589i	0.220444	+	0.381820i	−0.734499	+	0.678610i	$0.762583\pi$
$32$	5.64254	+	0.402242i	0.997469	+	0.0711070i
$33$	0.267586	+	0.154491i	0.0465807	+	0.0268934i
$34$	2.10654	−	4.55573i	0.361269	−	0.781301i
$35$	4.14891	−	9.98450i	0.701294	−	1.68769i
$36$	−3.76257	−	4.42586i	−0.627095	−	0.737643i
$37$	1.77246	−	3.07000i	0.291391	−	0.504705i	−0.682748	−	0.730654i	$-0.739215\pi$
$37$	1.77246	−	3.07000i	0.291391	−	0.504705i	0.974139	+	0.225950i	$0.0725485\pi$
$38$	0.645810	+	7.11761i	0.104764	+	1.15463i
$39$	−0.632795	+	0.365344i	−0.101328	+	0.0585019i
$40$	−2.88363	+	11.1933i	−0.455942	+	1.76981i
$41$			1.01797i			0.158981i	0.996836	+	0.0794903i	$0.0253293\pi$
$41$			1.01797i			0.158981i	−0.996836	+	0.0794903i	$0.974671\pi$
$42$	0.345339	−	1.10332i	0.0532869	−	0.170246i
$43$			8.31609i			1.26819i	0.773254	+	0.634096i	$0.218628\pi$
$43$			8.31609i			1.26819i	−0.773254	+	0.634096i	$0.781372\pi$
$44$	0.359973	+	1.96734i	0.0542680	+	0.296587i
$45$	10.2795	−	5.93487i	1.53238	−	0.884718i
$46$	−9.14583	+	0.829838i	−1.34848	+	0.122353i
$47$	−5.07991	+	8.79867i	−0.740982	+	1.28342i	0.211067	+	0.977472i	$0.432306\pi$
$47$	−5.07991	+	8.79867i	−0.740982	+	1.28342i	−0.952049	+	0.305946i	$0.901027\pi$
$48$	−0.198922	+	1.21981i	−0.0287120	+	0.176065i
$49$	−6.76555	+	1.79649i	−0.966507	+	0.256641i
$50$	−15.0192	−	6.94476i	−2.12403	−	0.982138i
$51$	0.949688	+	0.548302i	0.132983	+	0.0767777i
$52$	−4.45475	−	1.58898i	−0.617763	−	0.220353i
$53$	−3.42669	−	5.93521i	−0.470693	−	0.815264i	0.528745	−	0.848780i	$-0.322663\pi$
$53$	−3.42669	−	5.93521i	−0.470693	−	0.815264i	−0.999438	+	0.0335167i	$0.989329\pi$
$54$	2.10870	−	1.48667i	0.286958	−	0.202310i
$55$	−4.08663			−0.551041
$56$	6.88900	−	2.92263i	0.920581	−	0.390552i
$57$	−1.56146			−0.206821
$58$	−0.595660	+	0.419950i	−0.0782140	+	0.0551422i
$59$	−1.53574	−	2.65998i	−0.199937	−	0.346300i	0.748571	−	0.663055i	$-0.230740\pi$
$59$	−1.53574	−	2.65998i	−0.199937	−	0.346300i	−0.948508	+	0.316754i	$0.897407\pi$
$60$	−2.37860	−	0.848432i	−0.307076	−	0.109532i
$61$	0.428509	+	0.247400i	0.0548650	+	0.0316763i	0.527182	−	0.849753i	$-0.323249\pi$
$61$	0.428509	+	0.247400i	0.0548650	+	0.0316763i	−0.472317	+	0.881429i	$0.656582\pi$
$62$	−3.15101	−	1.45700i	−0.400178	−	0.185040i
$63$	−7.09639	−	2.94880i	−0.894061	−	0.371513i
$64$	−6.84964	+	4.13309i	−0.856205	+	0.516637i
$65$	4.83209	−	8.36943i	0.599347	−	1.03810i
$66$	−0.435178	+	0.0394855i	−0.0535667	+	0.00486033i
$67$	−5.70862	+	3.29587i	−0.697418	+	0.402655i	−0.806385	−	0.591391i	$-0.798579\pi$
$67$	−5.70862	+	3.29587i	−0.697418	+	0.402655i	0.108967	+	0.994045i	$0.465246\pi$
$68$	1.27758	+	6.98228i	0.154929	+	0.846725i
$69$		−	2.00641i		−	0.241544i
$70$	3.34076	+	14.9214i	0.399297	+	1.78344i
$71$		−	12.8512i		−	1.52516i	−0.646893	−	0.762581i	$-0.723932\pi$
$71$		−	12.8512i		−	1.52516i	0.646893	−	0.762581i	$-0.276068\pi$
$72$	7.95549	+	2.04951i	0.937564	+	0.241537i
$73$	2.65883	−	1.53507i	0.311192	−	0.179667i	−0.336268	−	0.941766i	$-0.609165\pi$
$73$	2.65883	−	1.53507i	0.311192	−	0.179667i	0.647460	+	0.762100i	$0.275831\pi$
$74$	0.453015	+	4.99278i	0.0526620	+	0.580399i
$75$	1.80762	−	3.13089i	0.208726	−	0.361525i
$76$	−6.54649	−	7.70055i	−0.750934	−	0.883313i
$77$	1.60826	+	2.10083i	0.183279	+	0.239412i
$78$	0.433695	−	0.937934i	0.0491062	−	0.106200i
$79$	0.368544	+	0.212779i	0.0414644	+	0.0239395i	0.520589	−	0.853807i	$-0.325712\pi$
$79$	0.368544	+	0.212779i	0.0414644	+	0.0239395i	−0.479124	+	0.877747i	$0.659046\pi$
$80$	−5.78821	−	15.2874i	−0.647141	−	1.70919i
$81$	−4.07494	−	7.05801i	−0.452772	−	0.784223i
$82$	−0.829531	−	1.17661i	−0.0916063	−	0.129935i
$83$	−10.6417			−1.16808			−0.584039	−	0.811725i	$-0.698529\pi$
$83$	−10.6417			−1.16808			−0.584039	+	0.811725i	$0.698529\pi$
$84$	0.499923	+	1.55667i	0.0545461	+	0.169847i
$85$	−14.5038			−1.57316
$86$	−6.77666	−	9.61206i	−0.730746	−	1.03649i
$87$	−0.0796166	−	0.137900i	−0.00853579	−	0.0147844i
$88$	−2.01923	−	1.98059i	−0.215250	−	0.211131i
$89$	11.1142	+	6.41679i	1.17810	+	0.680179i	0.955575	−	0.294747i	$-0.0952355\pi$
$89$	11.1142	+	6.41679i	1.17810	+	0.680179i	0.222529	+	0.974926i	$0.428569\pi$
$90$	−7.04519	+	15.2364i	−0.742629	+	1.60605i
$91$	−6.20414	+	0.809677i	−0.650371	+	0.0848772i
$92$	9.89487	−	8.41196i	1.03161	−	0.877007i
$93$	0.379238	−	0.656859i	0.0393251	−	0.0681131i
$94$	−1.29835	−	14.3094i	−0.133915	−	1.47590i
$95$	17.8853	−	10.3261i	1.83499	−	1.05943i
$96$	−0.764085	−	1.57200i	−0.0779841	−	0.160442i
$97$			5.55504i			0.564029i	0.959410	+	0.282014i	$0.0910026\pi$
$97$			5.55504i			0.564029i	−0.959410	+	0.282014i	$0.908997\pi$
$98$	6.35595	−	7.58959i	0.642048	−	0.766665i
$99$			2.90453i			0.291916i
$100$	23.0189	−	4.21187i	2.30189	−	0.421187i
$101$	−15.2144	+	8.78406i	−1.51389	+	0.874046i	−0.514025	+	0.857775i	$0.671846\pi$
$101$	−15.2144	+	8.78406i	−1.51389	+	0.874046i	−0.999868	+	0.0162710i	$0.994821\pi$
$102$	−1.54449	+	0.140138i	−0.152927	+	0.0138757i
$103$	−7.05410	+	12.2181i	−0.695061	+	1.20388i	0.275099	+	0.961416i	$0.411289\pi$
$103$	−7.05410	+	12.2181i	−0.695061	+	1.20388i	−0.970160	+	0.242466i	$0.922044\pi$
$104$	6.44381	−	1.79350i	0.631868	−	0.175868i
$105$	−3.31268	+	0.432324i	−0.323284	+	0.0421905i
$106$	8.79722	+	4.06778i	0.854462	+	0.395097i
$107$	4.42683	+	2.55583i	0.427958	+	0.247082i	0.698476	−	0.715633i	$-0.253862\pi$
$107$	4.42683	+	2.55583i	0.427958	+	0.247082i	−0.270518	+	0.962715i	$0.587195\pi$
$108$	−1.22585	+	3.43670i	−0.117957	+	0.330696i
$109$	−4.68746	−	8.11892i	−0.448977	−	0.777651i	0.549343	−	0.835597i	$-0.314878\pi$
$109$	−4.68746	−	8.11892i	−0.448977	−	0.777651i	−0.998320	+	0.0579460i	$0.981545\pi$
$110$	4.72348	−	3.33013i	0.450366	−	0.317516i
$111$	−1.09532			−0.103963
$112$	−5.58096	+	8.99182i	−0.527351	+	0.849648i
$113$	−3.26333			−0.306989			−0.153494	−	0.988150i	$-0.549053\pi$
$113$	−3.26333			−0.306989			−0.153494	+	0.988150i	$0.549053\pi$
$114$	1.80480	−	1.27241i	0.169035	−	0.119173i
$115$	13.2685	+	22.9818i	1.23730	+	2.14306i
$116$	0.346275	−	0.970789i	0.0321508	−	0.0901355i
$117$	−5.94849	−	3.43436i	−0.549938	−	0.317507i
$118$	3.94265	+	1.82306i	0.362951	+	0.167826i
$119$	5.70789	+	7.45605i	0.523241	+	0.683495i
$120$	3.44065	−	0.957634i	0.314087	−	0.0874196i
$121$	0.500000	−	0.866025i	0.0454545	−	0.0787296i
$122$	−0.696890	+	0.0632317i	−0.0630934	+	0.00572473i
$123$	0.272395	−	0.157267i	0.0245610	−	0.0141803i
$124$	4.82934	−	0.883647i	0.433688	−	0.0793539i
$125$			27.3826i			2.44917i
$126$	10.6052	−	2.37441i	0.944787	−	0.211529i
$127$			2.68935i			0.238641i	0.992856	+	0.119320i	$0.0380716\pi$
$127$			2.68935i			0.238641i	−0.992856	+	0.119320i	$0.961928\pi$
$128$	4.54907	−	10.3589i	0.402085	−	0.915602i
$129$	2.22527	−	1.28476i	0.195924	−	0.113117i
$130$	1.23501	+	13.6113i	0.108318	+	1.19379i
$131$	−1.16393	+	2.01599i	−0.101693	+	0.176138i	−0.912382	−	0.409339i	$-0.865759\pi$
$131$	−1.16393	+	2.01599i	−0.101693	+	0.176138i	0.810689	+	0.585477i	$0.199093\pi$
$132$	0.470819	−	0.400259i	0.0409795	−	0.0348381i
$133$	−12.3470	−	5.13060i	−1.07062	−	0.444880i
$134$	3.91248	−	8.46136i	0.337987	−	0.730950i
$135$	−6.45674	−	3.72780i	−0.555708	−	0.320838i
$136$	−7.16643	−	7.02930i	−0.614516	−	0.602757i
$137$	−6.97943	−	12.0887i	−0.596293	−	1.03281i	−0.993363	−	0.115021i	$-0.963307\pi$
$137$	−6.97943	−	12.0887i	−0.596293	−	1.03281i	0.397071	−	0.917788i	$-0.370027\pi$
$138$	1.63500	+	2.31909i	0.139180	+	0.197414i
$139$	1.84563			0.156545			0.0782723	−	0.996932i	$-0.475060\pi$
$139$	1.84563			0.156545			0.0782723	+	0.996932i	$0.475060\pi$
$140$	−16.0206	−	14.5243i	−1.35399	−	1.22753i
$141$	3.13920			0.264368
$142$	10.4723	+	14.8540i	0.878815	+	1.24652i
$143$	1.18242	+	2.04800i	0.0988785	+	0.171263i
$144$	−10.8654	+	4.11391i	−0.905448	+	0.342826i
$145$	1.82388	+	1.05302i	0.151465	+	0.0874485i
$146$	−1.82226	+	3.94093i	−0.150812	+	0.326154i
$147$	1.52593	+	1.53282i	0.125856	+	0.126425i
$148$	−4.59215	−	5.40169i	−0.377473	−	0.444016i
$149$	−9.68640	+	16.7773i	−0.793541	+	1.37445i	0.130221	+	0.991485i	$0.458431\pi$
$149$	−9.68640	+	16.7773i	−0.793541	+	1.37445i	−0.923762	+	0.382968i	$0.874902\pi$
$150$	0.462001	+	5.09181i	0.0377222	+	0.415745i
$151$	6.61710	−	3.82038i	0.538492	−	0.310898i	−0.205976	−	0.978557i	$-0.566037\pi$
$151$	6.61710	−	3.82038i	0.538492	−	0.310898i	0.744467	+	0.667659i	$0.232703\pi$
$152$	13.8417	+	3.56594i	1.12271	+	0.289236i
$153$			10.3085i			0.833390i
$154$	−3.57083	−	1.11767i	−0.287746	−	0.0900643i
$155$			10.0317i			0.805765i
$156$	0.263028	+	1.43751i	0.0210591	+	0.115093i
$157$	−3.92859	+	2.26817i	−0.313536	+	0.181020i	−0.648508	−	0.761208i	$-0.724607\pi$
$157$	−3.92859	+	2.26817i	−0.313536	+	0.181020i	0.334972	+	0.942228i	$0.391273\pi$
$158$	−0.599367	+	0.0543831i	−0.0476831	+	0.00432648i
$159$	−1.05878	+	1.83387i	−0.0839671	+	0.145435i
$160$	19.1477	+	12.9531i	1.51376	+	1.02403i
$161$	6.59260	−	15.8653i	0.519570	−	1.25036i
$162$	10.4614	+	4.83731i	0.821929	+	0.380055i
$163$	0.406690	+	0.234803i	0.0318544	+	0.0183912i	0.515843	−	0.856683i	$-0.327479\pi$
$163$	0.406690	+	0.234803i	0.0318544	+	0.0183912i	−0.483988	+	0.875075i	$0.660812\pi$
$164$	1.91761	+	0.683999i	0.149740	+	0.0534114i
$165$	0.631346	+	1.09352i	0.0491502	+	0.0851307i
$166$	12.3001	−	8.67177i	0.954672	−	0.673060i
$167$	−6.50937			−0.503710			−0.251855	−	0.967765i	$-0.581041\pi$
$167$	−6.50937			−0.503710			−0.251855	+	0.967765i	$0.581041\pi$
$168$	−1.84634	−	1.39188i	−0.142448	−	0.107386i
$169$	7.40758			0.569814
$170$	16.7641	−	11.8190i	1.28575	−	0.906474i
$171$	−7.33915	−	12.7118i	−0.561239	−	0.972094i
$172$	15.6655	+	5.58778i	1.19448	+	0.426064i
$173$	8.79726	+	5.07910i	0.668843	+	0.386157i	0.795638	−	0.605772i	$-0.207136\pi$
$173$	8.79726	+	5.07910i	0.668843	+	0.386157i	−0.126795	+	0.991929i	$0.540469\pi$
$174$	0.204397	+	0.0945116i	0.0154953	+	0.00716491i
$175$	24.5808	−	18.8175i	1.85814	−	1.42247i
$176$	3.94785	+	0.643801i	0.297580	+	0.0485283i
$177$	−0.474516	+	0.821885i	−0.0356668	+	0.0617767i
$178$	−18.0752	+	1.64004i	−1.35479	+	0.122926i
$179$	21.8969	−	12.6422i	1.63665	−	0.944921i	0.654676	−	0.755910i	$-0.272805\pi$
$179$	21.8969	−	12.6422i	1.63665	−	0.944921i	0.981975	−	0.189011i	$-0.0605281\pi$
$180$	−4.27278	−	23.3518i	−0.318475	−	1.74054i
$181$		−	24.8300i		−	1.84560i	−0.385278	−	0.922801i	$-0.625894\pi$
$181$		−	24.8300i		−	1.84560i	0.385278	−	0.922801i	$-0.374106\pi$
$182$	6.51119	−	5.99152i	0.482642	−	0.444121i
$183$		−	0.152884i		−	0.0113015i
$184$	−4.58208	+	17.7860i	−0.337796	+	1.31120i
$185$	12.5459	−	7.24340i	0.922396	−	0.532546i
$186$	0.0969274	+	1.06826i	0.00710706	+	0.0783284i
$187$	1.77455	−	3.07361i	0.129768	−	0.224765i
$188$	13.1612	+	15.4813i	0.959878	+	1.12909i
$189$	0.624639	+	4.78629i	0.0454358	+	0.348152i
$190$	−12.2579	+	26.5097i	−0.889283	+	1.92322i
$191$	−17.1307	−	9.89043i	−1.23954	−	0.715646i	−0.270536	−	0.962710i	$-0.587201\pi$
$191$	−17.1307	−	9.89043i	−1.23954	−	0.715646i	−0.968999	+	0.247064i	$0.920534\pi$
$192$	2.16416	+	1.19434i	0.156185	+	0.0861941i
$193$	5.30652	+	9.19117i	0.381972	+	0.661595i	0.991344	−	0.131289i	$-0.0419117\pi$
$193$	5.30652	+	9.19117i	0.381972	+	0.661595i	−0.609372	+	0.792884i	$0.708578\pi$
$194$	−4.52672	−	6.42072i	−0.324999	−	0.460981i
$195$	−2.98605			−0.213836
$196$	−1.16180	+	13.9517i	−0.0829856	+	0.996551i
$197$	−15.8797			−1.13138			−0.565692	−	0.824616i	$-0.691391\pi$
$197$	−15.8797			−1.13138			−0.565692	+	0.824616i	$0.691391\pi$
$198$	−2.36686	−	3.35717i	−0.168205	−	0.238583i
$199$	−2.70203	−	4.68005i	−0.191542	−	0.331760i	0.754220	−	0.656622i	$-0.228015\pi$
$199$	−2.70203	−	4.68005i	−0.191542	−	0.331760i	−0.945761	+	0.324862i	$0.894682\pi$
$200$	−23.1739	+	23.6260i	−1.63864	+	1.67061i
$201$	1.76386	+	1.01836i	0.124413	+	0.0718297i
$202$	10.4274	−	22.5510i	0.733671	−	1.58668i
$203$	−0.176447	−	1.35202i	−0.0123841	−	0.0948932i
$204$	1.67098	−	1.42056i	0.116992	−	0.0994590i
$205$	−2.08004	+	3.60273i	−0.145276	+	0.251626i
$206$	−1.80292	−	19.8704i	−0.125616	−	1.38444i
$207$	16.3341	−	9.43049i	1.13530	−	0.655464i
$208$	−5.98650	+	7.32397i	−0.415089	+	0.507826i
$209$			5.05359i			0.349564i
$210$	3.47662	−	3.19915i	0.239910	−	0.220762i
$211$		−	23.4075i		−	1.61144i	−0.592296	−	0.805720i	$-0.701778\pi$
$211$		−	23.4075i		−	1.61144i	0.592296	−	0.805720i	$-0.298222\pi$
$212$	−13.4829	+	2.46703i	−0.926012	+	0.169437i
$213$	−3.43881	+	1.98540i	−0.235623	+	0.136037i
$214$	−7.19941	+	0.653232i	−0.492142	+	0.0446540i
$215$	−16.9924	+	29.4317i	−1.15887	+	2.00722i
$216$	−1.38363	−	4.97119i	−0.0941441	−	0.338247i
$217$	5.15704	−	3.94790i	0.350082	−	0.268001i
$218$	12.0339	+	5.56441i	0.815041	+	0.376869i
$219$	−0.821527	−	0.474309i	−0.0555137	−	0.0320508i
$220$	−2.74590	+	7.69819i	−0.185129	+	0.519012i
$221$	4.19651	+	7.26856i	0.282288	+	0.488937i
$222$	1.26601	−	0.892558i	0.0849690	−	0.0599046i
$223$	−12.5553			−0.840766			−0.420383	−	0.907347i	$-0.638104\pi$
$223$	−12.5553			−0.840766			−0.420383	+	0.907347i	$0.638104\pi$
$224$	−0.876623	−	14.9409i	−0.0585719	−	0.998283i
$225$	33.9846			2.26564
$226$	3.77189	−	2.65924i	0.250902	−	0.176890i
$227$	8.73886	+	15.1361i	0.580018	+	1.00462i	0.995476	+	0.0950089i	$0.0302879\pi$
$227$	8.73886	+	15.1361i	0.580018	+	1.00462i	−0.415458	+	0.909612i	$0.636379\pi$
$228$	−1.04918	+	2.94141i	−0.0694839	+	0.194800i
$229$	−13.5206	−	7.80613i	−0.893468	−	0.515844i	−0.0183924	−	0.999831i	$-0.505855\pi$
$229$	−13.5206	−	7.80613i	−0.893468	−	0.515844i	−0.875075	+	0.483987i	$0.839188\pi$
$230$	−34.0638	−	15.7509i	−2.24610	−	1.03858i
$231$	0.313690	−	0.754907i	0.0206393	−	0.0496692i
$232$	0.390844	+	1.40425i	0.0256602	+	0.0921935i
$233$	−2.17597	+	3.76890i	−0.142553	+	0.246909i	−0.928457	−	0.371439i	$-0.878864\pi$
$233$	−2.17597	+	3.76890i	−0.142553	+	0.246909i	0.785904	+	0.618348i	$0.212198\pi$
$234$	9.67410	−	0.877771i	0.632416	−	0.0573817i
$235$	−35.9569	+	20.7597i	−2.34557	+	1.35421i
$236$	−6.04265	+	1.10565i	−0.393343	+	0.0719718i
$237$		−	0.131489i		−	0.00854115i
$238$	−12.6732	−	3.96671i	−0.821483	−	0.257124i
$239$			23.1370i			1.49661i	0.663356	+	0.748304i	$0.269132\pi$
$239$			23.1370i			1.49661i	−0.663356	+	0.748304i	$0.730868\pi$
$240$	−3.19647	+	3.91060i	−0.206331	+	0.252428i
$241$	10.8243	−	6.24940i	0.697254	−	0.402560i	−0.109070	−	0.994034i	$-0.534787\pi$
$241$	10.8243	−	6.24940i	0.697254	−	0.402560i	0.806324	+	0.591475i	$0.201454\pi$
$242$	0.127792	+	1.40843i	0.00821481	+	0.0905372i
$243$	−3.99567	+	6.92070i	−0.256322	+	0.443963i
$244$	0.753965	−	0.640971i	0.0482677	−	0.0410340i
$245$	−27.6149	−	7.46616i	−1.76425	−	0.476995i
$246$	−0.186689	+	0.403746i	−0.0119029	+	0.0257419i
$247$	−10.3498	−	5.97544i	−0.658540	−	0.380208i
$248$	−4.86187	+	4.95672i	−0.308729	+	0.314752i
$249$	1.64404	+	2.84757i	0.104187	+	0.180457i
$250$	−22.3137	−	31.6498i	−1.41124	−	2.00171i
$251$	13.9570			0.880961			0.440480	−	0.897762i	$-0.354808\pi$
$251$	13.9570			0.880961			0.440480	+	0.897762i	$0.354808\pi$
$252$	−10.3230	+	11.3865i	−0.650289	+	0.717280i
$253$	−6.49364			−0.408252
$254$	−2.19151	−	3.10845i	−0.137508	−	0.195041i
$255$	2.24071	+	3.88102i	0.140319	+	0.243039i
$256$	3.18329	+	15.6801i	0.198955	+	0.980009i
$257$	6.05336	+	3.49491i	0.377598	+	0.218006i	0.676773	−	0.736192i	$-0.263378\pi$
$257$	6.05336	+	3.49491i	0.377598	+	0.218006i	−0.299175	+	0.954198i	$0.596711\pi$
$258$	−1.52512	+	3.29831i	−0.0949497	+	0.205344i
$259$	−8.66102	−	3.59895i	−0.538169	−	0.223628i
$260$	−12.5191	−	14.7261i	−0.776403	−	0.913272i
$261$	0.748423	−	1.29631i	0.0463262	−	0.0802394i
$262$	−0.297484	−	3.27863i	−0.0183786	−	0.202554i
$263$	24.8619	−	14.3540i	1.53305	−	0.885107i	0.533830	−	0.845592i	$-0.320752\pi$
$263$	24.8619	−	14.3540i	1.53305	−	0.885107i	0.999219	−	0.0395150i	$-0.0125813\pi$
$264$	−0.218025	+	0.846298i	−0.0134185	+	0.0520860i
$265$		−	28.0073i		−	1.72047i
$266$	18.4520	−	4.13123i	1.13136	−	0.253302i
$267$		−	3.96534i		−	0.242675i
$268$	2.37285	+	12.9682i	0.144945	+	0.792158i
$269$	−25.3503	+	14.6360i	−1.54564	+	0.892374i	−0.547170	+	0.837022i	$0.684295\pi$
$269$	−25.3503	+	14.6360i	−1.54564	+	0.892374i	−0.998467	+	0.0553523i	$0.982372\pi$
$270$	10.5007	−	0.952770i	0.639051	−	0.0579837i
$271$	−8.84686	+	15.3232i	−0.537408	+	0.930819i	0.461634	+	0.887070i	$0.347263\pi$
$271$	−8.84686	+	15.3232i	−0.537408	+	0.930819i	−0.999043	+	0.0437483i	$0.986070\pi$
$272$	14.0113	+	2.28491i	0.849560	+	0.138543i
$273$	1.17514	+	1.53505i	0.0711227	+	0.0929056i
$274$	17.9180	+	8.28517i	1.08247	+	0.500525i
$275$	−10.1330	−	5.85027i	−0.611040	−	0.352784i
$276$	−3.77958	−	1.34816i	−0.227504	−	0.0811495i
$277$	−9.70960	−	16.8175i	−0.583393	−	1.01047i	−0.995074	−	0.0991388i	$-0.968391\pi$
$277$	−9.70960	−	16.8175i	−0.583393	−	1.01047i	0.411680	−	0.911328i	$-0.364942\pi$
$278$	−2.13325	+	1.50398i	−0.127944	+	0.0902027i
$279$	7.12993			0.426858
$280$	30.3529	+	3.73285i	1.81393	+	0.223080i
$281$	20.4681			1.22102			0.610512	−	0.792007i	$-0.290964\pi$
$281$	20.4681			1.22102			0.610512	+	0.792007i	$0.290964\pi$
$282$	−3.62840	+	2.55809i	−0.216068	+	0.152332i
$283$	−0.177440	−	0.307336i	−0.0105477	−	0.0182692i	0.860703	−	0.509107i	$-0.170024\pi$
$283$	−0.177440	−	0.307336i	−0.0105477	−	0.0182692i	−0.871251	+	0.490838i	$0.836691\pi$
$284$	−24.2086	−	8.63505i	−1.43651	−	0.512396i
$285$	−5.52621	−	3.19056i	−0.327345	−	0.188993i
$286$	−3.03557	−	1.40363i	−0.179497	−	0.0829982i
$287$	2.67065	−	0.348536i	0.157644	−	0.0205734i
$288$	9.20626	−	13.6091i	0.542484	−	0.801921i
$289$	−2.20195	+	3.81389i	−0.129527	+	0.224347i
$290$	−2.96620	+	0.269136i	−0.174182	+	0.0158042i
$291$	1.48645	−	0.858201i	0.0871371	−	0.0503086i
$292$	−1.10517	−	6.04002i	−0.0646752	−	0.353465i
$293$			21.3846i			1.24930i	0.780905	+	0.624650i	$0.214758\pi$
$293$			21.3846i			1.24930i	−0.780905	+	0.624650i	$0.785242\pi$
$294$	−3.01280	−	0.528240i	−0.175710	−	0.0308076i
$295$		−	12.5520i		−	0.730807i
$296$	9.70954	+	2.50140i	0.564356	+	0.145391i
$297$	1.57997	−	0.912195i	0.0916790	−	0.0529309i
$298$	−2.47570	−	27.2852i	−0.143413	−	1.58059i
$299$	7.67818	−	13.2990i	0.444041	−	0.769101i
$300$	−4.68324	−	5.50883i	−0.270387	−	0.318053i
$301$	21.8173	−	2.84729i	1.25753	−	0.164115i
$302$	−4.53512	+	9.80792i	−0.260967	+	0.564382i
$303$	4.70097	+	2.71411i	0.270064	+	0.155921i
$304$	−18.9047	+	7.15778i	−1.08426	+	0.410527i
$305$	1.01103	+	1.75116i	0.0578915	+	0.100271i
$306$	−8.40022	−	11.9149i	−0.480208	−	0.681130i
$307$	−2.43745			−0.139113			−0.0695564	−	0.997578i	$-0.522158\pi$
$307$	−2.43745			−0.139113			−0.0695564	+	0.997578i	$0.522158\pi$
$308$	5.03807	−	1.61797i	0.287071	−	0.0921926i
$309$	4.35917			0.247985
$310$	−8.17468	−	11.5950i	−0.464291	−	0.658553i
$311$	−4.45787	−	7.72126i	−0.252783	−	0.437832i	0.711508	−	0.702678i	$-0.248012\pi$
$311$	−4.45787	−	7.72126i	−0.252783	−	0.437832i	−0.964291	+	0.264845i	$0.914679\pi$
$312$	−1.47542	−	1.44719i	−0.0835295	−	0.0819311i
$313$	13.0002	+	7.50566i	0.734814	+	0.424245i	0.820181	−	0.572104i	$-0.193873\pi$
$313$	13.0002	+	7.50566i	0.734814	+	0.424245i	−0.0853666	+	0.996350i	$0.527206\pi$
$314$	2.69251	−	5.82299i	0.151947	−	0.328610i
$315$	−19.0897	−	24.9363i	−1.07558	−	1.40500i
$316$	0.648456	−	0.551274i	0.0364785	−	0.0310116i
$317$	−1.91116	+	3.31023i	−0.107342	+	0.185921i	−0.914693	−	0.404150i	$-0.867567\pi$
$317$	−1.91116	+	3.31023i	−0.107342	+	0.185921i	0.807351	+	0.590072i	$0.200901\pi$
$318$	−0.270609	−	2.98244i	−0.0151750	−	0.167247i
$319$	−0.446305	+	0.257674i	−0.0249883	+	0.0144270i
$320$	−32.6869	+	0.631567i	−1.82725	+	0.0353057i
$321$		−	1.57941i		−	0.0881540i
$322$	5.30846	+	23.7100i	0.295829	+	1.32131i
$323$			17.9357i			0.997968i
$324$	−16.0336	+	2.93374i	−0.890755	+	0.162986i
$325$	23.9627	−	13.8349i	1.32921	−	0.767422i
$326$	−0.661406	+	0.0600120i	−0.0366319	+	0.00332376i
$327$	−1.44834	+	2.50859i	−0.0800932	+	0.138726i
$328$	−2.77382	+	0.772037i	−0.153159	+	0.0426286i
$329$	24.8226	+	10.3147i	1.36852	+	0.568666i
$330$	−1.62083	−	0.749461i	−0.0892237	−	0.0412565i
$331$	12.4770	+	7.20357i	0.685795	+	0.395944i	0.802035	−	0.597277i	$-0.203751\pi$
$331$	12.4770	+	7.20357i	0.685795	+	0.395944i	−0.116240	+	0.993221i	$0.537084\pi$
$332$	−7.15041	+	20.0463i	−0.392430	+	1.10018i
$333$	−5.14818	−	8.91691i	−0.282118	−	0.488643i
$334$	7.52378	−	5.30439i	0.411683	−	0.290243i
$335$	−26.9380			−1.47178
$336$	3.26829	+	0.104231i	0.178300	+	0.00568629i
$337$	2.18570			0.119063			0.0595314	−	0.998226i	$-0.481039\pi$
$337$	2.18570			0.119063			0.0595314	+	0.998226i	$0.481039\pi$
$338$	−8.56196	+	6.03633i	−0.465709	+	0.328333i
$339$	0.504154	+	0.873221i	0.0273819	+	0.0474269i
$340$	−9.74547	+	27.3216i	−0.528522	+	1.48172i
$341$	−2.12589	−	1.22738i	−0.115123	−	0.0664664i
$342$	18.8415	+	8.71219i	1.01883	+	0.471101i
$343$	7.02949	+	17.1344i	0.379557	+	0.925168i
$344$	−22.6601	+	6.30698i	−1.22175	+	0.340050i
$345$	4.09973	−	7.10095i	0.220722	−	0.382302i
$346$	−14.3071	+	1.29814i	−0.769154	+	0.0697885i
$347$	1.77336	−	1.02385i	0.0951989	−	0.0549631i	−0.451645	−	0.892198i	$-0.649163\pi$
$347$	1.77336	−	1.02385i	0.0951989	−	0.0549631i	0.546844	+	0.837235i	$0.315829\pi$
$348$	−0.313265	+	0.0573196i	−0.0167928	+	0.00307265i
$349$			25.3980i			1.35953i	0.733432	+	0.679763i	$0.237917\pi$
$349$			25.3980i			1.35953i	−0.733432	+	0.679763i	$0.762083\pi$
$350$	−13.0773	+	41.7806i	−0.699012	+	2.23327i
$351$			4.31437i			0.230284i
$352$	−5.08770	+	2.47292i	−0.271175	+	0.131807i
$353$	−11.8187	+	6.82352i	−0.629045	+	0.363179i	−0.780382	−	0.625303i	$-0.784975\pi$
$353$	−11.8187	+	6.82352i	−0.629045	+	0.363179i	0.151337	+	0.988482i	$0.451642\pi$
$354$	−0.121279	−	1.33664i	−0.00644591	−	0.0710417i
$355$	26.2591	−	45.4822i	1.39369	−	2.41394i
$356$	19.5555	−	16.6248i	1.03644	−	0.881114i
$357$	1.11332	−	2.67924i	0.0589230	−	0.141800i
$358$	−15.0073	+	32.4558i	−0.793162	+	1.71534i
$359$	6.18615	+	3.57157i	0.326492	+	0.188500i	0.654283	−	0.756250i	$-0.272971\pi$
$359$	6.18615	+	3.57157i	0.326492	+	0.188500i	−0.327790	+	0.944750i	$0.606304\pi$
$360$	23.9677	+	23.5091i	1.26321	+	1.23904i
$361$	−3.26937	−	5.66272i	−0.172072	−	0.298038i
$362$	20.2336	+	28.6995i	1.06346	+	1.50841i
$363$	−0.308981			−0.0162173
$364$	−2.64348	+	12.2311i	−0.138556	+	0.641084i
$365$	12.5466			0.656716
$366$	0.124583	+	0.176709i	0.00651205	+	0.00923673i
$367$	7.83326	+	13.5676i	0.408893	+	0.708223i	0.994766	−	0.102180i	$-0.0325817\pi$
$367$	7.83326	+	13.5676i	0.408893	+	0.708223i	−0.585873	+	0.810403i	$0.699248\pi$
$368$	−9.19744	−	24.2917i	−0.479450	−	1.26629i
$369$	2.56060	+	1.47837i	0.133300	+	0.0769606i
$370$	−8.59854	+	18.5957i	−0.447017	+	0.966745i
$371$	−14.3978	+	11.0221i	−0.747497	+	0.572237i
$372$	−0.982540	−	1.15575i	−0.0509423	−	0.0599227i
$373$	17.1108	−	29.6367i	0.885962	−	1.53453i	0.0413554	−	0.999145i	$-0.486832\pi$
$373$	17.1108	−	29.6367i	0.885962	−	1.53453i	0.844607	−	0.535387i	$-0.179834\pi$
$374$	0.453548	+	4.99865i	0.0234524	+	0.258474i
$375$	7.32719	−	4.23035i	0.378374	−	0.218455i
$376$	−27.8277	−	7.16904i	−1.43510	−	0.369715i
$377$		−	1.21871i		−	0.0627669i
$378$	−4.62226	−	5.02317i	−0.237744	−	0.258364i
$379$			5.98158i			0.307253i	0.988129	+	0.153627i	$0.0490953\pi$
$379$			5.98158i			0.307253i	−0.988129	+	0.153627i	$0.950905\pi$
$380$	−7.43421	−	40.6297i	−0.381367	−	2.08426i
$381$	0.719630	−	0.415479i	0.0368678	−	0.0212856i
$382$	27.8599	−	2.52784i	1.42544	−	0.129336i
$383$	18.0121	−	31.1978i	0.920374	−	1.59414i	0.121538	−	0.992587i	$-0.461217\pi$
$383$	18.0121	−	31.1978i	0.920374	−	1.59414i	0.798836	−	0.601548i	$-0.205449\pi$
$384$	−3.47467	+	0.383079i	−0.177316	+	0.0195489i
$385$	1.39919	+	10.7213i	0.0713094	+	0.546407i
$386$	−13.6232	−	6.29930i	−0.693404	−	0.320626i
$387$	20.9183	+	12.0772i	1.06334	+	0.613917i
$388$	10.4643	+	3.73256i	0.531245	+	0.189492i
$389$	−1.37710	−	2.38521i	−0.0698217	−	0.120935i	0.829001	−	0.559247i	$-0.188910\pi$
$389$	−1.37710	−	2.38521i	−0.0698217	−	0.120935i	−0.898823	+	0.438312i	$0.855576\pi$
$390$	3.45139	−	2.43329i	0.174768	−	0.123214i
$391$	−23.0466			−1.16552
$392$	−10.0262	−	17.0727i	−0.506399	−	0.862299i
$393$	0.719267			0.0362822
$394$	18.3544	−	12.9402i	0.924682	−	0.651916i
$395$	0.869548	+	1.50610i	0.0437517	+	0.0757802i
$396$	5.47141	+	1.95162i	0.274949	+	0.0980727i
$397$	−14.6787	−	8.47476i	−0.736704	−	0.425336i	0.0841657	−	0.996452i	$-0.473177\pi$
$397$	−14.6787	−	8.47476i	−0.736704	−	0.425336i	−0.820870	+	0.571116i	$0.806511\pi$
$398$	6.93681	+	3.20754i	0.347711	+	0.160779i
$399$	0.534618	+	4.09651i	0.0267644	+	0.205082i
$400$	7.53282	−	46.1919i	0.376641	−	2.30960i
$401$	−7.62471	+	13.2064i	−0.380760	+	0.659495i	−0.991171	−	0.132589i	$-0.957671\pi$
$401$	−7.62471	+	13.2064i	−0.380760	+	0.659495i	0.610411	+	0.792085i	$0.291004\pi$
$402$	−2.86858	+	0.260278i	−0.143072	+	0.0129815i
$403$	5.02736	−	2.90255i	0.250431	−	0.144586i
$404$	6.32404	+	34.5624i	0.314633	+	1.71954i
$405$		−	33.3056i		−	1.65497i
$406$	1.30568	+	1.41893i	0.0648000	+	0.0704204i
$407$			3.54493i			0.175716i
$408$	−0.773793	+	3.00359i	−0.0383085	+	0.148700i
$409$	24.6350	−	14.2231i	1.21812	−	0.703285i	0.253608	−	0.967307i	$-0.418383\pi$
$409$	24.6350	−	14.2231i	1.21812	−	0.703285i	0.964517	+	0.264022i	$0.0850493\pi$
$410$	−0.531626	−	5.85916i	−0.0262551	−	0.289363i
$411$	−2.15651	+	3.73519i	−0.106373	+	0.184243i
$412$	18.2760	+	21.4978i	0.900393	+	1.05912i
$413$	−6.45267	+	4.93976i	−0.317515	+	0.243070i
$414$	−11.1948	+	24.2105i	−0.550194	+	1.18988i
$415$	−37.6623	−	21.7443i	−1.84877	−	1.06739i
$416$	0.951234	−	13.3436i	0.0466381	−	0.654226i
$417$	−0.285133	−	0.493865i	−0.0139630	−	0.0241847i
$418$	−4.11809	−	5.84113i	−0.201423	−	0.285699i
$419$	−31.0147			−1.51517			−0.757585	−	0.652737i	$-0.773621\pi$
$419$	−31.0147			−1.51517			−0.757585	+	0.652737i	$0.773621\pi$
$420$	−1.41147	+	6.53075i	−0.0688729	+	0.318668i
$421$	10.5304			0.513218			0.256609	−	0.966515i	$-0.417395\pi$
$421$	10.5304			0.513218			0.256609	+	0.966515i	$0.417395\pi$
$422$	19.0745	+	27.0553i	0.928530	+	1.31703i
$423$	14.7548	+	25.5560i	0.717401	+	1.24258i
$424$	13.5737	−	13.8385i	0.659199	−	0.672059i
$425$	−35.9629	−	20.7632i	−1.74445	−	1.00716i
$426$	2.35684	−	5.09703i	0.114189	−	0.246952i
$427$	0.502341	−	1.20890i	0.0243100	−	0.0585028i
$428$	7.78904	−	6.62172i	0.376498	−	0.320073i
$429$	0.365344	−	0.632795i	0.0176390	−	0.0305516i
$430$	−4.34300	−	47.8651i	−0.209438	−	2.30826i
$431$	−6.34843	+	3.66527i	−0.305793	+	0.176550i	−0.645042	−	0.764147i	$-0.723160\pi$
$431$	−6.34843	+	3.66527i	−0.305793	+	0.176550i	0.339249	+	0.940697i	$0.389827\pi$
$432$	5.65020	+	4.61839i	0.271846	+	0.222203i
$433$			34.7274i			1.66889i	0.551091	+	0.834445i	$0.314212\pi$
$433$			34.7274i			1.66889i	−0.551091	+	0.834445i	$0.685788\pi$
$434$	−2.74361	+	8.76553i	−0.131697	+	0.420759i
$435$		−	0.650727i		−	0.0312000i
$436$	−18.4436	+	3.37472i	−0.883290	+	0.161620i
$437$	28.4196	−	16.4081i	1.35950	−	0.784905i
$438$	1.33606	−	0.121226i	0.0638394	−	0.00579241i
$439$	6.94678	−	12.0322i	0.331552	−	0.574264i	−0.651265	−	0.758851i	$-0.725761\pi$
$439$	6.94678	−	12.0322i	0.331552	−	0.574264i	0.982816	+	0.184586i	$0.0590945\pi$
$440$	−3.09933	−	11.1355i	−0.147755	−	0.530862i
$441$	−5.30650	+	19.6270i	−0.252690	+	0.934620i
$442$	−10.7735	−	4.98161i	−0.512445	−	0.236951i
$443$	13.2319	+	7.63945i	0.628668	+	0.362961i	0.780236	−	0.625485i	$-0.215099\pi$
$443$	13.2319	+	7.63945i	0.628668	+	0.362961i	−0.151568	+	0.988447i	$0.548432\pi$
$444$	−0.735969	+	2.06330i	−0.0349275	+	0.0979201i
$445$	26.2231	+	45.4197i	1.24309	+	2.15310i
$446$	14.5119	−	10.2311i	0.687159	−	0.484459i
$447$	5.98583			0.283120
$448$	13.1884	+	16.5550i	0.623093	+	0.782148i
$449$	−1.54564			−0.0729433			−0.0364716	−	0.999335i	$-0.511612\pi$
$449$	−1.54564			−0.0729433			−0.0364716	+	0.999335i	$0.511612\pi$
$450$	−39.2806	+	27.6935i	−1.85171	+	1.30549i
$451$	−0.508986	−	0.881590i	−0.0239672	−	0.0415124i
$452$	−2.19271	+	6.14731i	−0.103136	+	0.289145i
$453$	−2.04456	−	1.18043i	−0.0960618	−	0.0554613i
$454$	−22.4349	−	10.3738i	−1.05292	−	0.486865i
$455$	−23.6117	−	9.81147i	−1.10693	−	0.459969i
$456$	−1.18422	−	4.25476i	−0.0554564	−	0.199247i
$457$	−9.34480	+	16.1857i	−0.437131	+	0.757133i	−0.997467	−	0.0711322i	$-0.977339\pi$
$457$	−9.34480	+	16.1857i	−0.437131	+	0.757133i	0.560336	+	0.828266i	$0.310672\pi$
$458$	21.9887	−	1.99513i	1.02747	−	0.0932263i
$459$	5.60746	−	3.23747i	0.261734	−	0.151112i
$460$	52.2074	−	9.55264i	2.43418	−	0.445394i
$461$			1.94551i			0.0906115i	0.998973	+	0.0453058i	$0.0144262\pi$
$461$			1.94551i			0.0906115i	−0.998973	+	0.0453058i	$0.985574\pi$
$462$	0.252588	+	1.12817i	0.0117514	+	0.0524873i
$463$		−	30.8271i		−	1.43265i	−0.697764	−	0.716327i	$-0.745822\pi$
$463$		−	30.8271i		−	1.43265i	0.697764	−	0.716327i	$-0.254178\pi$
$464$	−1.59605	−	1.30459i	−0.0740950	−	0.0605641i
$465$	2.68434	−	1.54980i	0.124483	−	0.0718704i
$466$	−0.556146	−	6.12941i	−0.0257630	−	0.283939i
$467$	9.63263	−	16.6842i	0.445745	−	0.772053i	−0.552359	−	0.833606i	$-0.686272\pi$
$467$	9.63263	−	16.6842i	0.445745	−	0.772053i	0.998104	+	0.0615537i	$0.0196056\pi$
$468$	−10.4664	+	8.89784i	−0.483810	+	0.411303i
$469$	10.6013	+	13.8481i	0.489521	+	0.639447i
$470$	24.6435	−	53.2956i	1.13672	−	2.45834i
$471$	1.21386	+	0.700823i	0.0559318	+	0.0322922i
$472$	6.08335	−	6.20202i	0.280009	−	0.285471i
$473$	−4.15805	−	7.20195i	−0.191187	−	0.331146i
$474$	0.107149	+	0.151980i	0.00492151	+	0.00698069i
$475$	59.1297			2.71305
$476$	17.8806	−	5.74234i	0.819556	−	0.263200i
$477$	−19.9059			−0.911428
$478$	−18.8540	−	26.7426i	−0.862362	−	1.22318i
$479$	12.7985	+	22.1677i	0.584779	+	1.01287i	0.994903	+	0.100838i	$0.0321522\pi$
$479$	12.7985	+	22.1677i	0.584779	+	1.01287i	−0.410124	+	0.912030i	$0.634514\pi$
$480$	0.507907	−	7.12478i	0.0231827	−	0.325200i
$481$	−7.26003	−	4.19158i	−0.331029	−	0.191120i
$482$	−7.41857	+	16.0439i	−0.337907	+	0.730778i
$483$	−5.26383	+	0.686961i	−0.239513	+	0.0312578i
$484$	−1.29541	−	1.52378i	−0.0588825	−	0.0692627i
$485$	−11.3507	+	19.6600i	−0.515408	+	0.892713i
$486$	−1.02123	−	11.2552i	−0.0463240	−	0.510547i
$487$	−9.42752	+	5.44298i	−0.427202	+	0.246645i	−0.698154	−	0.715948i	$-0.745995\pi$
$487$	−9.42752	+	5.44298i	−0.427202	+	0.246645i	0.270952	+	0.962593i	$0.412661\pi$
$488$	−0.349144	+	1.35525i	−0.0158050	+	0.0613495i
$489$		−	0.145099i		−	0.00656162i
$490$	38.0024	−	13.8733i	1.71677	−	0.626732i
$491$		−	15.8083i		−	0.713419i	−0.934215	−	0.356710i	$-0.883899\pi$
$491$		−	15.8083i		−	0.713419i	0.934215	−	0.356710i	$-0.116101\pi$
$492$	−0.113224	−	0.618795i	−0.00510452	−	0.0278975i
$493$	−1.58398	+	0.914512i	−0.0713389	+	0.0411875i
$494$	16.8319	−	1.52723i	0.757305	−	0.0687134i
$495$	−5.93487	+	10.2795i	−0.266753	+	0.462029i
$496$	1.58038	−	9.69103i	0.0709611	−	0.435140i
$497$	−33.7153	+	4.40004i	−1.51234	+	0.197369i
$498$	−4.22069	−	1.95162i	−0.189134	−	0.0874541i
$499$	9.35209	+	5.39943i	0.418657	+	0.241712i	0.694503	−	0.719490i	$-0.255624\pi$
$499$	9.35209	+	5.39943i	0.418657	+	0.241712i	−0.275845	+	0.961202i	$0.588958\pi$
$500$	51.5820	+	18.3990i	2.30682	+	0.822828i
$501$	1.00564	+	1.74181i	0.0449285	+	0.0778185i
$502$	−16.1321	+	11.3734i	−0.720010	+	0.507619i
$503$	43.7448			1.95048			0.975242	−	0.221140i	$-0.0709777\pi$
$503$	43.7448			1.95048			0.975242	+	0.221140i	$0.0709777\pi$
$504$	2.65308	−	21.5730i	0.118178	−	0.960937i
$505$	−71.7943			−3.19481
$506$	7.50560	−	5.29157i	0.333665	−	0.235239i
$507$	−1.14440	−	1.98216i	−0.0508246	−	0.0880309i
$508$	5.06606	+	1.80703i	0.224770	+	0.0801742i
$509$	27.5757	+	15.9208i	1.22227	+	0.705679i	0.965402	−	0.260767i	$-0.0839754\pi$
$509$	27.5757	+	15.9208i	1.22227	+	0.705679i	0.256870	+	0.966446i	$0.417309\pi$
$510$	−5.75248	−	2.65991i	−0.254724	−	0.117783i
$511$	−4.93761	−	6.44986i	−0.218427	−	0.285325i
$512$	−16.4569	−	15.5297i	−0.727298	−	0.686322i
$513$	−4.60986	+	7.98450i	−0.203530	+	0.352524i
$514$	−9.84466	+	0.893246i	−0.434229	+	0.0393994i
$515$	−49.9307	+	28.8275i	−2.20021	+	1.27029i
$516$	−0.924957	−	5.05511i	−0.0407189	−	0.222539i
$517$		−	10.1598i		−	0.446829i
$518$	12.9435	−	2.89793i	0.568703	−	0.127328i
$519$		−	3.13869i		−	0.137773i
$520$	26.4701	+	6.81930i	1.16079	+	0.299046i
$521$	−2.38307	+	1.37586i	−0.104404	+	0.0602777i	−0.551293	−	0.834312i	$-0.685865\pi$
$521$	−2.38307	+	1.37586i	−0.104404	+	0.0602777i	0.446889	+	0.894590i	$0.352532\pi$
$522$	0.191286	+	2.10820i	0.00837235	+	0.0922734i
$523$	3.79806	−	6.57843i	0.166077	−	0.287655i	−0.770960	−	0.636884i	$-0.780223\pi$
$523$	3.79806	−	6.57843i	0.166077	−	0.287655i	0.937037	+	0.349229i	$0.113556\pi$
$524$	3.01555	+	3.54715i	0.131735	+	0.154958i
$525$	−8.83281	−	3.67034i	−0.385496	−	0.160187i
$526$	−17.0394	+	36.8505i	−0.742955	+	1.60676i
$527$	−7.54498	−	4.35609i	−0.328664	−	0.189754i
$528$	−0.437634	−	1.15585i	−0.0190456	−	0.0503019i
$529$	9.58369	+	16.5994i	0.416682	+	0.721715i
$530$	22.8227	+	32.3719i	0.991355	+	1.40614i
$531$	−8.92122			−0.387148
$532$	−17.9610	+	19.8113i	−0.778709	+	0.858928i
$533$	2.40733			0.104273
$534$	3.23130	+	4.58329i	0.139832	+	0.198338i
$535$	10.4447	+	18.0908i	0.451565	+	0.782134i
$536$	−13.3102	−	13.0555i	−0.574914	−	0.563913i
$537$	−6.76573	−	3.90620i	−0.291963	−	0.168565i
$538$	17.3742	−	37.5745i	0.749055	−	1.61995i
$539$	4.96089	−	4.93858i	0.213681	−	0.212720i
$540$	−11.3607	+	9.65810i	−0.488886	+	0.415618i
$541$	0.734403	−	1.27202i	0.0315745	−	0.0546886i	−0.849806	−	0.527095i	$-0.823281\pi$
$541$	0.734403	−	1.27202i	0.0315745	−	0.0546886i	0.881381	+	0.472406i	$0.156615\pi$
$542$	−2.26112	−	24.9203i	−0.0971236	−	1.07042i
$543$	−6.64416	+	3.83601i	−0.285128	+	0.164619i
$544$	−18.0567	+	8.77662i	−0.774176	+	0.376294i
$545$		−	38.3118i		−	1.64110i
$546$	−2.60916	−	0.816667i	−0.111662	−	0.0349501i
$547$		−	8.73040i		−	0.373285i	−0.982428	−	0.186642i	$-0.940239\pi$
$547$		−	8.73040i		−	0.373285i	0.982428	−	0.186642i	$-0.0597606\pi$
$548$	−27.4618	+	5.02481i	−1.17311	+	0.214649i
$549$	1.24462	−	0.718581i	0.0531190	−	0.0306683i
$550$	16.4794	−	1.49524i	0.702682	−	0.0637572i
$551$	1.30218	−	2.25544i	0.0554747	−	0.0960851i
$552$	5.46718	−	1.52168i	0.232699	−	0.0647669i
$553$	0.432043	−	1.03973i	0.0183723	−	0.0442137i
$554$	24.9271	+	11.5261i	1.05905	+	0.489698i
$555$	−3.87646	−	2.23808i	−0.164547	−	0.0950011i
$556$	1.24012	−	3.47671i	0.0525930	−	0.147446i
$557$	−17.9887	−	31.1574i	−0.762207	−	1.32018i	−0.941711	−	0.336424i	$-0.890783\pi$
$557$	−17.9887	−	31.1574i	−0.762207	−	1.32018i	0.179504	−	0.983757i	$-0.442551\pi$
$558$	−8.24104	+	5.81007i	−0.348871	+	0.245960i
$559$	19.6662			0.831790
$560$	−38.1248	+	20.4195i	−1.61107	+	0.862883i
$561$	−1.09660			−0.0462987
$562$	−23.6578	+	16.6792i	−0.997945	+	0.703568i
$563$	−19.6931	−	34.1094i	−0.829964	−	1.43754i	−0.898066	−	0.439862i	$-0.855028\pi$
$563$	−19.6931	−	34.1094i	−0.829964	−	1.43754i	0.0681015	−	0.997678i	$-0.478306\pi$
$564$	2.10930	−	5.91347i	0.0888175	−	0.249002i
$565$	−11.5493	−	6.66802i	−0.485884	−	0.280526i
$566$	0.455535	+	0.210637i	0.0191476	+	0.00885372i
$567$	−17.1215	+	13.1072i	−0.719037	+	0.550450i
$568$	35.0177	−	9.74647i	1.46931	−	0.408953i
$569$	11.4486	−	19.8296i	0.479952	−	0.831302i	−0.519783	−	0.854298i	$-0.673987\pi$
$569$	11.4486	−	19.8296i	0.479952	−	0.831302i	0.999736	+	0.0229964i	$0.00732062\pi$
$570$	8.98735	−	0.815459i	0.376439	−	0.0341558i
$571$	−19.6903	+	11.3682i	−0.824015	+	0.475745i	−0.851799	−	0.523869i	$-0.824488\pi$
$571$	−19.6903	+	11.3682i	−0.824015	+	0.475745i	0.0277842	+	0.999614i	$0.491155\pi$
$572$	4.65242	−	0.851275i	0.194528	−	0.0355936i
$573$			6.11191i			0.255329i
$574$	−2.80283	+	2.57913i	−0.116988	+	0.107651i
$575$			75.9791i			3.16855i
$576$	0.448880	+	23.2319i	0.0187033	+	0.967996i
$577$	−1.53476	+	0.886095i	−0.0638929	+	0.0368886i	−0.531606	−	0.846992i	$-0.678411\pi$
$577$	−1.53476	+	0.886095i	−0.0638929	+	0.0368886i	0.467713	+	0.883880i	$0.345078\pi$
$578$	−0.562786	−	6.20258i	−0.0234088	−	0.257993i
$579$	1.63962	−	2.83990i	0.0681402	−	0.118022i
$580$	3.20914	−	2.72819i	0.133252	−	0.113282i
$581$	3.64353	+	27.9185i	0.151159	+	1.15826i
$582$	−1.01876	+	2.20323i	−0.0422289	+	0.0913267i
$583$	5.93521	+	3.42669i	0.245811	+	0.141919i
$584$	6.19932	+	6.08070i	0.256530	+	0.251621i
$585$	−14.0350	−	24.3093i	−0.580274	−	1.00506i
$586$	−17.4260	−	24.7171i	−0.719860	−	1.02105i
$587$	−7.52622			−0.310640			−0.155320	−	0.987864i	$-0.549641\pi$
$587$	−7.52622			−0.310640			−0.155320	+	0.987864i	$0.549641\pi$
$588$	3.91276	−	1.84453i	0.161360	−	0.0760671i
$589$	12.4053			0.511153
$590$	10.2285	+	14.5081i	0.421099	+	0.597289i
$591$	2.45327	+	4.24919i	0.100914	+	0.174788i
$592$	−13.2610	+	5.02096i	−0.545024	+	0.206360i
$593$	16.5286	+	9.54281i	0.678750	+	0.391876i	0.799384	−	0.600821i	$-0.205159\pi$
$593$	16.5286	+	9.54281i	0.678750	+	0.391876i	−0.120634	+	0.992697i	$0.538493\pi$
$594$	−1.08285	+	2.34184i	−0.0444300	+	0.0960869i
$595$	4.96587	+	38.0509i	0.203581	+	1.55993i
$596$	25.0958	+	29.5198i	1.02796	+	1.20918i
$597$	−0.834876	+	1.44605i	−0.0341692	+	0.0591828i
$598$	1.96243	+	21.6283i	0.0802496	+	0.884448i
$599$	32.9249	−	19.0092i	1.34528	−	0.776695i	0.357699	−	0.933837i	$-0.383561\pi$
$599$	32.9249	−	19.0092i	1.34528	−	0.776695i	0.987576	+	0.157142i	$0.0502280\pi$
$600$	9.90214	+	2.55101i	0.404253	+	0.104145i
$601$		−	34.8975i		−	1.42350i	−0.702434	−	0.711749i	$-0.747903\pi$
$601$		−	34.8975i		−	1.42350i	0.702434	−	0.711749i	$-0.252097\pi$
$602$	−22.8971	+	21.0696i	−0.933215	+	0.858733i
$603$			19.1459i			0.779682i
$604$	−2.75047	−	15.0320i	−0.111915	−	0.611642i
$605$	3.53912	−	2.04331i	0.143886	−	0.0830725i
$606$	−7.64525	+	0.693685i	−0.310567	+	0.0281790i
$607$	−9.17619	+	15.8936i	−0.372450	+	0.645102i	−0.989942	−	0.141475i	$-0.954816\pi$
$607$	−9.17619	+	15.8936i	−0.372450	+	0.645102i	0.617492	+	0.786577i	$0.288149\pi$
$608$	16.0179	−	23.6784i	0.649614	−	0.960285i
$609$	−0.334522	+	0.256089i	−0.0135555	+	0.0103772i
$610$	−2.59558	−	1.20018i	−0.105092	−	0.0485939i
$611$	20.8074	+	12.0131i	0.841776	+	0.485999i
$612$	19.4186	+	6.92650i	0.784950	+	0.279987i
$613$	−3.30509	−	5.72459i	−0.133492	−	0.231214i	0.791529	−	0.611132i	$-0.209286\pi$
$613$	−3.30509	−	5.72459i	−0.133492	−	0.231214i	−0.925020	+	0.379918i	$0.875952\pi$
$614$	2.81730	−	1.98625i	0.113697	−	0.0801584i
$615$	1.28538			0.0518317
$616$	−4.50473	+	5.97557i	−0.181501	+	0.240762i
$617$	7.66177			0.308451			0.154226	−	0.988036i	$-0.450712\pi$
$617$	7.66177			0.308451			0.154226	+	0.988036i	$0.450712\pi$
$618$	−5.03850	+	3.55223i	−0.202678	+	0.142891i
$619$	0.977242	+	1.69263i	0.0392787	+	0.0680327i	0.884996	−	0.465598i	$-0.154161\pi$
$619$	0.977242	+	1.69263i	0.0392787	+	0.0680327i	−0.845718	+	0.533630i	$0.820827\pi$
$620$	18.8972	+	6.74053i	0.758931	+	0.270706i
$621$	−10.2597	−	5.92347i	−0.411709	−	0.237700i
$622$	11.4445	+	5.29187i	0.458883	+	0.212185i
$623$	13.0292	−	31.3552i	0.522003	−	1.25622i
$624$	2.88465	+	0.470418i	0.115478	+	0.0188318i
$625$	−26.6999	+	46.2456i	−1.06800	+	1.84982i
$626$	−21.1424	+	1.91833i	−0.845019	+	0.0766721i
$627$	1.35227	−	0.780732i	0.0540044	−	0.0311794i
$628$	1.63296	+	8.92453i	0.0651623	+	0.356127i
$629$			12.5813i			0.501649i
$630$	42.3848	+	13.2664i	1.68865	+	0.528547i
$631$		−	23.4222i		−	0.932423i	−0.884673	−	0.466212i	$-0.845619\pi$
$631$		−	23.4222i		−	0.932423i	0.884673	−	0.466212i	$-0.154381\pi$
$632$	−0.300285	+	1.16560i	−0.0119447	+	0.0463651i
$633$	−6.26352	+	3.61624i	−0.248953	+	0.143733i
$634$	−0.488465	−	5.38347i	−0.0193994	−	0.213805i
$635$	−5.49518	+	9.51793i	−0.218070	+	0.377708i
$636$	2.74313	+	3.22671i	0.108772	+	0.127947i
$637$	4.24838	+	15.9994i	0.168327	+	0.633918i
$638$	0.305881	−	0.661517i	0.0121100	−	0.0261897i
$639$	−32.3260	−	18.6634i	−1.27880	−	0.738313i
$640$	37.2661	−	27.3661i	1.47307	−	1.08174i
$641$	9.40552	+	16.2908i	0.371496	+	0.643450i	0.989796	−	0.142493i	$-0.0455117\pi$
$641$	9.40552	+	16.2908i	0.371496	+	0.643450i	−0.618300	+	0.785942i	$0.712178\pi$
$642$	1.28704	+	1.82554i	0.0507953	+	0.0720483i
$643$	−9.57582			−0.377633			−0.188817	−	0.982012i	$-0.560465\pi$
$643$	−9.57582			−0.377633			−0.188817	+	0.982012i	$0.560465\pi$
$644$	−25.4566	−	23.0791i	−1.00313	−	0.909445i
$645$	10.5007			0.413463
$646$	−14.6155	−	20.7307i	−0.575040	−	0.815640i
$647$	−14.8310	−	25.6881i	−0.583069	−	1.00990i	−0.995113	−	0.0987407i	$-0.968519\pi$
$647$	−14.8310	−	25.6881i	−0.583069	−	1.00990i	0.412045	−	0.911164i	$-0.364815\pi$
$648$	16.1416	−	16.4565i	0.634101	−	0.646471i
$649$	2.65998	+	1.53574i	0.104414	+	0.0602832i
$650$	−16.4232	+	35.5178i	−0.644170	+	1.39312i
$651$	−1.85312	−	0.770034i	−0.0726293	−	0.0301800i
$652$	0.715575	−	0.608334i	0.0280241	−	0.0238242i
$653$	13.2189	−	22.8958i	0.517295	−	0.895981i	−0.482503	−	0.875894i	$-0.660272\pi$
$653$	13.2189	−	22.8958i	0.517295	−	0.895981i	0.999798	−	0.0200871i	$-0.00639436\pi$
$654$	−0.370173	−	4.07976i	−0.0144749	−	0.159531i
$655$	−8.23860	+	4.75656i	−0.321909	+	0.185854i
$656$	2.57697	−	3.15270i	0.100614	−	0.123092i
$657$		−	8.91734i		−	0.347898i
$658$	−37.0962	+	8.30551i	−1.44616	+	0.323783i
$659$			26.7142i			1.04064i	0.853972	+	0.520320i	$0.174187\pi$
$659$			26.7142i			1.04064i	−0.853972	+	0.520320i	$0.825813\pi$
$660$	2.48414	−	0.454535i	0.0966951	−	0.0176927i
$661$	−13.5665	+	7.83259i	−0.527674	+	0.304653i	−0.740069	−	0.672531i	$-0.765207\pi$
$661$	−13.5665	+	7.83259i	−0.527674	+	0.304653i	0.212395	+	0.977184i	$0.431874\pi$
$662$	−20.2914	+	1.84112i	−0.788649	+	0.0715573i
$663$	1.29664	−	2.24585i	0.0503574	−	0.0872216i
$664$	−8.07074	−	28.9971i	−0.313205	−	1.12530i
$665$	−33.2141	−	43.3866i	−1.28799	−	1.68246i
$666$	13.2167	+	6.11132i	0.512137	+	0.236809i
$667$	2.89815	+	1.67325i	0.112217	+	0.0647883i
$668$	−4.37380	+	12.2620i	−0.169227	+	0.474432i
$669$	1.93968	+	3.35962i	0.0749923	+	0.129891i
$670$	31.1360	−	21.9514i	1.20289	−	0.848056i
$671$	−0.494800			−0.0191015
$672$	−3.86255	+	2.54281i	−0.149001	+	0.0980909i
$673$	26.7103			1.02960			0.514802	−	0.857309i	$-0.327865\pi$
$673$	26.7103			1.02960			0.514802	+	0.857309i	$0.327865\pi$
$674$	−2.52632	+	1.78110i	−0.0973102	+	0.0686053i
$675$	−10.6732	−	18.4865i	−0.410810	−	0.711544i
$676$	4.97732	−	13.9540i	0.191436	−	0.536694i
$677$	−23.0695	−	13.3192i	−0.886633	−	0.511898i	−0.0137936	−	0.999905i	$-0.504391\pi$
$677$	−23.0695	−	13.3192i	−0.886633	−	0.511898i	−0.872840	+	0.488007i	$0.837724\pi$
$678$	−1.29430	−	0.598474i	−0.0497071	−	0.0229843i
$679$	14.5737	−	1.90195i	0.559286	−	0.0729901i
$680$	−10.9998	−	39.5208i	−0.421824	−	1.51555i
$681$	2.70014	−	4.67679i	0.103470	−	0.179215i
$682$	3.45735	−	0.313700i	0.132389	−	0.0120122i
$683$	−24.5120	+	14.1520i	−0.937925	+	0.541511i	−0.889309	−	0.457306i	$-0.848814\pi$
$683$	−24.5120	+	14.1520i	−0.937925	+	0.541511i	−0.0486158	+	0.998818i	$0.515481\pi$
$684$	−28.8772	+	5.28379i	−1.10415	+	0.202031i
$685$		−	57.0446i		−	2.17956i
$686$	−22.0875	−	14.0763i	−0.843304	−	0.537436i
$687$			4.82390i			0.184043i
$688$	21.0520	−	25.7553i	0.802599	−	0.981910i
$689$	−14.0358	+	8.10355i	−0.534720	+	0.308721i
$690$	1.04783	+	11.5484i	0.0398902	+	0.439638i
$691$	−7.18411	+	12.4432i	−0.273297	+	0.473363i	−0.969704	−	0.244283i	$-0.921447\pi$
$691$	−7.18411	+	12.4432i	−0.273297	+	0.473363i	0.696407	+	0.717647i	$0.254781\pi$
$692$	15.4789	−	13.1591i	0.588418	−	0.500233i
$693$	7.62005	−	0.994461i	0.289462	−	0.0377765i
$694$	−1.21540	+	2.62849i	−0.0461358	+	0.0997761i
$695$	6.53193	+	3.77121i	0.247770	+	0.143050i
$696$	0.315375	−	0.321528i	0.0119543	−	0.0121875i
$697$	−1.80644	−	3.12885i	−0.0684238	−	0.118514i
$698$	−20.6965	−	29.3560i	−0.783373	−	1.11114i
$699$	1.34467			0.0508601
$700$	−18.9311	−	58.9481i	−0.715530	−	2.22803i
$701$	−12.6902			−0.479301			−0.239651	−	0.970859i	$-0.577033\pi$
$701$	−12.6902			−0.479301			−0.239651	+	0.970859i	$0.577033\pi$
$702$	−3.51572	−	4.98672i	−0.132692	−	0.188211i
$703$	−8.95730	−	15.5145i	−0.337831	−	0.585141i
$704$	3.86541	−	7.00418i	0.145683	−	0.263980i
$705$	11.1100	+	6.41436i	0.418427	+	0.241579i
$706$	8.10010	−	17.5178i	0.304851	−	0.659290i
$707$	28.2542	+	36.9076i	1.06261	+	1.38805i
$708$	1.22939	+	1.44611i	0.0462033	+	0.0543483i
$709$	−1.23133	+	2.13272i	−0.0462434	+	0.0800960i	−0.888221	−	0.459417i	$-0.848058\pi$
$709$	−1.23133	+	2.13272i	−0.0462434	+	0.0800960i	0.841977	+	0.539513i	$0.181392\pi$
$710$	6.71144	+	73.9682i	0.251876	+	2.77598i
$711$	1.07045	−	0.618023i	0.0401449	−	0.0231777i
$712$	−9.05572	+	35.1511i	−0.339377	+	1.31734i
$713$			15.9403i			0.596970i
$714$	0.896458	+	4.00399i	0.0335491	+	0.149846i
$715$			9.66418i			0.361420i
$716$	−9.10168	−	49.7429i	−0.340146	−	1.85898i
$717$	6.19113	−	3.57445i	0.231212	−	0.133490i
$718$	−10.0606	+	0.912841i	−0.375459	+	0.0340669i
$719$	4.88012	−	8.45261i	0.181998	−	0.315229i	−0.760563	−	0.649264i	$-0.775077\pi$
$719$	4.88012	−	8.45261i	0.181998	−	0.315229i	0.942561	+	0.334035i	$0.108410\pi$
$720$	−46.8599	−	7.64175i	−1.74637	−	0.284791i
$721$	34.4693	+	14.3232i	1.28371	+	0.533424i
$722$	8.39333	+	3.88102i	0.312367	+	0.144437i
$723$	−3.34450	−	1.93095i	−0.124383	−	0.0718128i
$724$	−46.7736	−	16.6839i	−1.73833	−	0.620051i
$725$	3.01493	+	5.22201i	0.111972	+	0.193941i
$726$	0.357132	−	0.251784i	0.0132544	−	0.00934459i
$727$	−9.12977			−0.338604			−0.169302	−	0.985564i	$-0.554151\pi$
$727$	−9.12977			−0.338604			−0.169302	+	0.985564i	$0.554151\pi$
$728$	−6.91152	−	16.2913i	−0.256158	−	0.603796i
$729$	−21.9805			−0.814092
$730$	−14.5018	+	10.2240i	−0.536735	+	0.378407i
$731$	−14.7573	−	25.5604i	−0.545819	−	0.945386i
$732$	−0.287995	−	0.102726i	−0.0106446	−	0.00379687i
$733$	8.58689	+	4.95764i	0.317164	+	0.183115i	0.650128	−	0.759825i	$-0.274715\pi$
$733$	8.58689	+	4.95764i	0.317164	+	0.183115i	−0.332964	+	0.942940i	$0.608049\pi$
$734$	−20.1100	−	9.29874i	−0.742274	−	0.343223i
$735$	2.26841	+	8.54280i	0.0836714	+	0.315106i
$736$	30.4257	+	20.5824i	1.12151	+	0.758676i
$737$	3.29587	−	5.70862i	0.121405	−	0.210280i
$738$	−4.16434	+	0.377848i	−0.153292	+	0.0139088i
$739$	14.7386	−	8.50934i	0.542168	−	0.313021i	−0.203789	−	0.979015i	$-0.565326\pi$
$739$	14.7386	−	8.50934i	0.542168	−	0.313021i	0.745957	+	0.665994i	$0.231992\pi$
$740$	−5.21486	−	28.5005i	−0.191702	−	1.04770i
$741$			3.69260i			0.135651i
$742$	7.65982	−	24.4723i	0.281201	−	0.898406i
$743$		−	28.3427i		−	1.03979i	−0.854230	−	0.519896i	$-0.825971\pi$
$743$		−	28.3427i		−	1.03979i	0.854230	−	0.519896i	$-0.174029\pi$
$744$	2.07746	+	0.535200i	0.0761634	+	0.0196214i
$745$	−68.5627	+	39.5847i	−2.51194	+	1.45027i
$746$	4.37326	+	48.1986i	0.160116	+	1.76468i
$747$	−15.4546	+	26.7681i	−0.565453	+	0.979394i
$748$	−4.59755	−	5.40804i	−0.168103	−	0.197737i
$749$	5.18957	−	12.4889i	0.189623	−	0.456334i
$750$	−5.02179	+	10.8604i	−0.183370	+	0.396567i
$751$	−16.1724	−	9.33716i	−0.590141	−	0.340718i	0.175012	−	0.984566i	$-0.444003\pi$
$751$	−16.1724	−	9.33716i	−0.590141	−	0.340718i	−0.765153	+	0.643848i	$0.777337\pi$
$752$	38.0063	−	14.3901i	1.38595	−	0.524755i
$753$	−2.15623	−	3.73470i	−0.0785775	−	0.136100i
$754$	0.993111	+	1.40863i	0.0361670	+	0.0512994i
$755$	31.2250			1.13639
$756$	9.43590	+	2.03936i	0.343180	+	0.0741707i
$757$	−8.02184			−0.291559			−0.145779	−	0.989317i	$-0.546569\pi$
$757$	−8.02184			−0.291559			−0.145779	+	0.989317i	$0.546569\pi$
$758$	−4.87430	−	6.91374i	−0.177043	−	0.251118i
$759$	1.00321	+	1.73761i	0.0364141	+	0.0630711i
$760$	41.7013	+	40.9034i	1.51267	+	1.48372i
$761$	−27.5947	−	15.9318i	−1.00031	−	0.577527i	−0.0919667	−	0.995762i	$-0.529315\pi$
$761$	−27.5947	−	15.9318i	−1.00031	−	0.577527i	−0.908339	+	0.418236i	$0.862649\pi$
$762$	−0.493209	+	1.06664i	−0.0178671	+	0.0386404i
$763$	−19.6951	+	15.0773i	−0.713011	+	0.545837i
$764$	−30.1416	+	25.6244i	−1.09049	+	0.927059i
$765$	−21.0634	+	36.4829i	−0.761550	+	1.31904i
$766$	4.60362	+	50.7374i	0.166335	+	1.83322i
$767$	−6.29041	+	3.63177i	−0.227134	+	0.131136i
$768$	3.70399	−	3.27424i	0.133656	−	0.118149i
$769$			16.7641i			0.604530i	0.953224	+	0.302265i	$0.0977428\pi$
$769$			16.7641i			0.604530i	−0.953224	+	0.302265i	$0.902257\pi$
$770$	−10.3539	−	11.2519i	−0.373127	−	0.405490i
$771$		−	2.15972i		−	0.0777805i
$772$	20.8795	−	3.82041i	0.751468	−	0.137500i
$773$	−9.53906	+	5.50738i	−0.343096	+	0.198087i	−0.661640	−	0.749821i	$-0.730139\pi$
$773$	−9.53906	+	5.50738i	−0.343096	+	0.198087i	0.318544	+	0.947908i	$0.396806\pi$
$774$	−34.0197	+	3.08674i	−1.22281	+	0.110951i
$775$	−14.3610	+	24.8740i	−0.515863	+	0.893500i
$776$	−15.1367	+	4.21298i	−0.543374	+	0.151237i
$777$	0.375018	+	2.87357i	0.0134537	+	0.103089i
$778$	3.53538	+	1.63473i	0.126749	+	0.0586081i
$779$	4.45519	+	2.57221i	0.159624	+	0.0921588i
$780$	−2.00640	+	5.62498i	−0.0718406	+	0.201407i
$781$	6.42562	+	11.1295i	0.229927	+	0.398245i
$782$	26.6381	−	18.7803i	0.952577	−	0.671583i
$783$	−0.940197			−0.0335999
$784$	25.5009	+	11.5630i	0.910747	+	0.412965i
$785$	−18.5384			−0.661663
$786$	−0.831356	+	0.586120i	−0.0296535	+	0.0209062i
$787$	−17.1340	−	29.6769i	−0.610761	−	1.05787i	−0.991112	−	0.133027i	$-0.957530\pi$
$787$	−17.1340	−	29.6769i	−0.610761	−	1.05787i	0.380351	−	0.924842i	$-0.375803\pi$
$788$	−10.6700	+	29.9135i	−0.380102	+	1.06562i
$789$	−7.68186	−	4.43512i	−0.273481	−	0.157895i
$790$	−2.23236	−	1.03223i	−0.0794237	−	0.0367250i
$791$	1.11731	+	8.56137i	0.0397269	+	0.304407i
$792$	−7.91442	+	2.20282i	−0.281227	+	0.0782737i
$793$	0.585059	−	1.01335i	0.0207760	−	0.0359852i
$794$	23.8722	−	2.16602i	0.847192	−	0.0768692i
$795$	−7.49434	+	4.32686i	−0.265797	+	0.153458i
$796$	−10.6316	+	1.94531i	−0.376827	+	0.0689498i
$797$			1.57763i			0.0558826i	0.999610	+	0.0279413i	$0.00889514\pi$
$797$			1.57763i			0.0558826i	−0.999610	+	0.0279413i	$0.991105\pi$
$798$	−3.95612	−	4.29925i	−0.140045	−	0.152192i
$799$		−	36.0582i		−	1.27565i
$800$	28.9344	+	59.5288i	1.02299	+	2.10466i
$801$	32.2816	−	18.6378i	1.14061	−	0.658533i
$802$	−1.94876	−	21.4777i	−0.0688131	−	0.758404i
$803$	−1.53507	+	2.65883i	−0.0541716	+	0.0938279i
$804$	3.10352	−	2.63840i	0.109453	−	0.0930493i
$805$	55.7499	−	42.6787i	1.96493	−	1.50423i
$806$	−3.44557	+	7.45160i	−0.121365	+	0.262471i
$807$	7.83278	+	4.52226i	0.275727	+	0.159191i
$808$	−35.4740	−	34.7952i	−1.24797	−	1.22409i
$809$	4.50308	+	7.79956i	0.158320	+	0.274218i	0.934263	−	0.356585i	$-0.116059\pi$
$809$	4.50308	+	7.79956i	0.158320	+	0.274218i	−0.775943	+	0.630803i	$0.782726\pi$
$810$	27.1402	+	38.4958i	0.953610	+	1.35261i
$811$	28.5295			1.00180			0.500902	−	0.865504i	$-0.333002\pi$
$811$	28.5295			1.00180			0.500902	+	0.865504i	$0.333002\pi$
$812$	−2.66543	−	0.576072i	−0.0935382	−	0.0202162i
$813$	5.46703			0.191737
$814$	−2.88871	−	4.09736i	−0.101249	−	0.143613i
$815$	0.959552	+	1.66199i	0.0336116	+	0.0582170i
$816$	−1.55321	−	4.10222i	−0.0543731	−	0.143606i
$817$	36.3957	+	21.0131i	1.27332	+	0.735154i
$818$	−16.8840	+	36.5143i	−0.590334	+	1.27669i
$819$	−6.97340	+	16.7817i	−0.243670	+	0.586402i
$820$	5.38902	+	6.33903i	0.188193	+	0.221369i
$821$	11.7735	−	20.3923i	0.410898	−	0.711696i	−0.584090	−	0.811689i	$-0.698549\pi$
$821$	11.7735	−	20.3923i	0.410898	−	0.711696i	0.994988	+	0.0999929i	$0.0318820\pi$
$822$	−0.551172	−	6.07458i	−0.0192243	−	0.211875i
$823$	−1.40243	+	0.809692i	−0.0488856	+	0.0282241i	−0.524244	−	0.851568i	$-0.675652\pi$
$823$	−1.40243	+	0.809692i	−0.0488856	+	0.0282241i	0.475358	+	0.879792i	$0.342319\pi$
$824$	−38.6423	−	9.95512i	−1.34617	−	0.346803i
$825$			3.61525i			0.125867i
$826$	3.43290	−	10.9677i	0.119446	−	0.381617i
$827$		−	16.5695i		−	0.576180i	−0.957603	−	0.288090i	$-0.906980\pi$
$827$		−	16.5695i		−	0.576180i	0.957603	−	0.288090i	$-0.0930202\pi$
$828$	−6.78944	−	37.1059i	−0.235949	−	1.28952i
$829$	−4.16204	+	2.40296i	−0.144554	+	0.0834581i	−0.570532	−	0.821275i	$-0.693263\pi$
$829$	−4.16204	+	2.40296i	−0.144554	+	0.0834581i	0.425979	+	0.904733i	$0.359930\pi$
$830$	61.2507	−	5.55753i	2.12604	−	0.192905i
$831$	−3.00009	+	5.19630i	−0.104072	+	0.180258i
$832$	9.77407	+	16.1982i	0.338855	+	0.561573i
$833$	17.6067	−	17.5275i	0.610036	−	0.607291i
$834$	0.732011	+	0.338477i	0.0253475	+	0.0117205i
$835$	−23.0375	−	13.3007i	−0.797244	−	0.460289i
$836$	9.51970	+	3.39562i	0.329246	+	0.117440i
$837$	−2.23922	−	3.87844i	−0.0773988	−	0.134059i
$838$	35.8480	−	25.2735i	1.23835	−	0.873057i
$839$	−31.3971			−1.08395			−0.541974	−	0.840395i	$-0.682323\pi$
$839$	−31.3971			−1.08395			−0.541974	+	0.840395i	$0.682323\pi$
$840$	−3.69038	−	8.69868i	−0.127330	−	0.300133i
$841$	−28.7344			−0.990842
$842$	−12.1714	+	8.58103i	−0.419453	+	0.295722i
$843$	−3.16213	−	5.47697i	−0.108910	−	0.188637i
$844$	−44.0940	−	15.7281i	−1.51778	−	0.541382i
$845$	26.2163	+	15.1360i	0.901869	+	0.520694i
$846$	−37.8793	−	17.5152i	−1.30232	−	0.602183i
$847$	−2.44321	−	1.01524i	−0.0839498	−	0.0348841i
$848$	−4.41222	+	27.0562i	−0.151516	+	0.929112i
$849$	−0.0548257	+	0.0949609i	−0.00188161	+	0.00325905i
$850$	58.4868	−	5.30675i	2.00608	−	0.182020i
$851$	19.9355	−	11.5097i	0.683379	−	0.394549i
$852$	1.42938	+	7.81190i	0.0489697	+	0.267631i
$853$		−	20.7236i		−	0.709563i	−0.934949	−	0.354781i	$-0.884555\pi$
$853$		−	20.7236i		−	0.709563i	0.934949	−	0.354781i	$-0.115445\pi$
$854$	0.404492	+	1.80664i	0.0138414	+	0.0618221i
$855$		−	59.9848i		−	2.05144i
$856$	−3.60693	+	14.0008i	−0.123282	+	0.478538i
$857$	8.45778	−	4.88310i	0.288912	−	0.166803i	−0.348539	−	0.937294i	$-0.613322\pi$
$857$	8.45778	−	4.88310i	0.288912	−	0.166803i	0.637451	+	0.770491i	$0.279989\pi$
$858$	0.0933765	+	1.02912i	0.00318782	+	0.0351336i
$859$	18.0188	−	31.2095i	0.614794	−	1.06485i	−0.375627	−	0.926771i	$-0.622572\pi$
$859$	18.0188	−	31.2095i	0.614794	−	1.06485i	0.990421	−	0.138083i	$-0.0440942\pi$
$860$	44.0244	+	51.7853i	1.50122	+	1.76586i
$861$	−0.505854	−	0.660783i	−0.0172395	−	0.0225194i
$862$	4.35098	−	9.40970i	0.148195	−	0.320496i
$863$	−4.78927	−	2.76508i	−0.163029	−	0.0941246i	0.416266	−	0.909243i	$-0.363339\pi$
$863$	−4.78927	−	2.76508i	−0.163029	−	0.0941246i	−0.579294	+	0.815118i	$0.696672\pi$
$864$	−10.2942	−	0.733846i	−0.350215	−	0.0249659i
$865$	20.7564	+	35.9511i	0.705739	+	1.22238i
$866$	−28.2988	−	40.1392i	−0.961633	−	1.36399i
$867$	1.36072			0.0462126
$868$	−3.97174	−	12.3673i	−0.134810	−	0.419772i
$869$	−0.425558			−0.0144361
$870$	0.530268	+	0.752135i	0.0179778	+	0.0254998i
$871$	7.79418	+	13.4999i	0.264096	+	0.457427i
$872$	18.5678	−	18.9301i	0.628787	−	0.641053i
$873$	13.9731	+	8.06739i	0.472919	+	0.273040i
$874$	−19.4778	+	42.1239i	−0.658846	+	1.42486i
$875$	71.8383	−	9.37533i	2.42858	−	0.316944i
$876$	−1.44548	+	1.22885i	−0.0488384	+	0.0415191i
$877$	18.1911	−	31.5079i	0.614269	−	1.06395i	−0.376243	−	0.926521i	$-0.622784\pi$
$877$	18.1911	−	31.5079i	0.614269	−	1.06395i	0.990512	−	0.137425i	$-0.0438825\pi$
$878$	1.77549	+	19.5681i	0.0599200	+	0.660391i
$879$	5.72220	−	3.30371i	0.193005	−	0.111432i
$880$	12.6564	+	10.3452i	0.426649	+	0.348736i
$881$			27.5346i			0.927664i	0.885923	+	0.463832i	$0.153526\pi$
$881$			27.5346i			0.927664i	−0.885923	+	0.463832i	$0.846474\pi$
$882$	−9.86032	−	27.0098i	−0.332014	−	0.909469i
$883$		−	37.2604i		−	1.25391i	−0.779054	−	0.626957i	$-0.784300\pi$
$883$		−	37.2604i		−	1.25391i	0.779054	−	0.626957i	$-0.215700\pi$
$884$	16.5119	−	3.02126i	0.555355	−	0.101616i
$885$	−3.35874	+	1.93917i	−0.112903	+	0.0651845i
$886$	−21.5192	+	1.95253i	−0.722953	+	0.0655965i
$887$	−4.47600	+	7.75267i	−0.150289	+	0.260309i	−0.931334	−	0.364167i	$-0.881354\pi$
$887$	−4.47600	+	7.75267i	−0.150289	+	0.260309i	0.781044	+	0.624476i	$0.214687\pi$
$888$	−0.830696	−	2.98458i	−0.0278763	−	0.100156i
$889$	7.05551	−	0.920786i	0.236634	−	0.0308822i
$890$	−67.3214	−	31.1290i	−2.25662	−	1.04345i
$891$	7.05801	+	4.07494i	0.236452	+	0.136516i
$892$	−8.43621	+	23.6511i	−0.282465	+	0.791897i
$893$	25.6718	+	44.4648i	0.859074	+	1.48796i
$894$	−6.91865	+	4.87777i	−0.231394	+	0.163137i
$895$	103.328			3.45387
$896$	−28.7340	−	8.38782i	−0.959937	−	0.280218i
$897$	−4.74483			−0.158425
$898$	1.78651	−	1.25952i	0.0596166	−	0.0420307i
$899$	0.632529	+	1.09557i	0.0210960	+	0.0365394i
$900$	22.8350	−	64.0184i	0.761167	−	2.13395i
$901$	21.0646	+	12.1617i	0.701765	+	0.405164i
$902$	1.30670	+	0.604210i	0.0435084	+	0.0201180i
$903$	−4.13246	−	5.39812i	−0.137520	−	0.179638i
$904$	−2.47493	−	8.89210i	−0.0823151	−	0.295747i
$905$	50.7355	−	87.8765i	1.68651	−	2.92111i
$906$	3.32509	−	0.301699i	0.110469	−	0.0100233i
$907$	8.22724	−	4.75000i	0.273181	−	0.157721i	−0.357151	−	0.934046i	$-0.616252\pi$
$907$	8.22724	−	4.75000i	0.273181	−	0.157721i	0.630332	+	0.776325i	$0.282919\pi$
$908$	34.3846	−	6.29150i	1.14109	−	0.208791i
$909$			51.0271i			1.69246i
$910$	35.2865	−	7.90033i	1.16974	−	0.261893i
$911$			24.1642i			0.800594i	0.916385	+	0.400297i	$0.131093\pi$
$911$			24.1642i			0.800594i	−0.916385	+	0.400297i	$0.868907\pi$
$912$	4.83591	+	3.95280i	0.160133	+	0.130890i
$913$	9.21598	−	5.32085i	0.305005	−	0.176094i
$914$	−2.38839	−	26.3229i	−0.0790009	−	0.870686i
$915$	0.312390	−	0.541075i	0.0103273	−	0.0178874i
$916$	−23.7896	+	20.2244i	−0.786032	+	0.668232i
$917$	5.68747	+	2.36334i	0.187817	+	0.0780444i
$918$	−3.84315	+	8.31143i	−0.126843	+	0.274318i
$919$	10.2454	+	5.91520i	0.337965	+	0.195124i	0.659372	−	0.751817i	$-0.270822\pi$
$919$	10.2454	+	5.91520i	0.337965	+	0.195124i	−0.321407	+	0.946941i	$0.604156\pi$
$920$	−52.5591	+	53.5844i	−1.73282	+	1.76663i
$921$	0.376564	+	0.652228i	0.0124082	+	0.0214916i
$922$	−1.58537	−	2.24870i	−0.0522114	−	0.0740569i
$923$	−30.3910			−1.00033
$924$	−1.21128	−	1.09815i	−0.0398482	−	0.0361266i
$925$	41.4776			1.36377
$926$	25.1205	+	35.6311i	0.825511	+	1.17091i
$927$	20.4889	+	35.4877i	0.672942	+	1.16557i
$928$	2.90787	+	0.207295i	0.0954556	+	0.00680479i
$929$	13.8187	+	7.97826i	0.453378	+	0.261758i	0.709256	−	0.704951i	$-0.249031\pi$
$929$	13.8187	+	7.97826i	0.453378	+	0.261758i	−0.255878	+	0.966709i	$0.582364\pi$
$930$	−1.83975	+	3.97875i	−0.0603277	+	0.130468i
$931$	−9.23276	+	34.1490i	−0.302592	+	1.11919i
$932$	5.63758	+	6.63141i	0.184665	+	0.217219i
$933$	−1.37740	+	2.38572i	−0.0450940	+	0.0781051i
$934$	2.46195	+	27.1337i	0.0805576	+	0.887842i
$935$	12.5607	−	7.25192i	0.410779	−	0.237163i
$936$	4.84675	−	18.8134i	0.158421	−	0.614935i
$937$		−	15.3592i		−	0.501764i	−0.968018	−	0.250882i	$-0.919279\pi$
$937$		−	15.3592i		−	0.501764i	0.968018	−	0.250882i	$-0.0807205\pi$
$938$	−23.5380	−	7.36738i	−0.768542	−	0.240553i
$939$		−	4.63822i		−	0.151363i
$940$	14.9459	+	81.6828i	0.487481	+	2.66420i
$941$	4.82012	−	2.78289i	0.157131	−	0.0907198i	−0.419373	−	0.907814i	$-0.637750\pi$
$941$	4.82012	−	2.78289i	0.157131	−	0.0907198i	0.576504	+	0.817094i	$0.304417\pi$
$942$	−1.97412	+	0.179120i	−0.0643202	+	0.00583604i
$943$	−3.30517	+	5.72473i	−0.107631	+	0.186423i
$944$	−1.97743	+	12.1258i	−0.0643597	+	0.394660i
$945$	−7.56922	+	18.2156i	−0.246227	+	0.592554i
$946$	10.6748	+	4.93595i	0.347067	+	0.160482i
$947$	−1.99354	−	1.15097i	−0.0647815	−	0.0374016i	0.467259	−	0.884120i	$-0.345241\pi$
$947$	−1.99354	−	1.15097i	−0.0647815	−	0.0374016i	−0.532041	+	0.846719i	$0.678575\pi$
$948$	−0.247693	−	0.0883508i	−0.00804470	−	0.00286950i
$949$	−3.63019	−	6.28767i	−0.117841	−	0.204106i
$950$	−68.3443	+	48.1839i	−2.21738	+	1.56329i
$951$	1.18103			0.0382975
$952$	−15.9877	+	21.2079i	−0.518165	+	0.687351i
$953$	48.4684			1.57005			0.785023	−	0.619466i	$-0.212651\pi$
$953$	48.4684			1.57005			0.785023	+	0.619466i	$0.212651\pi$
$954$	23.0080	−	16.2210i	0.744911	−	0.525175i
$955$	−40.4185	−	70.0069i	−1.30791	−	2.26537i
$956$	43.5843	+	15.5463i	1.40962	+	0.502803i
$957$	0.137900	+	0.0796166i	0.00445767	+	0.00257364i
$958$	−32.8571	−	15.1929i	−1.06157	−	0.490861i
$959$	−29.3252	+	22.4495i	−0.946959	+	0.724933i
$960$	5.21882	+	8.64898i	0.168437	+	0.279145i
$961$	12.4871	−	21.6282i	0.402809	−	0.697685i
$962$	11.8071	−	1.07130i	0.380675	−	0.0345402i
$963$	12.8579	−	7.42349i	0.414339	−	0.239219i
$964$	−4.49923	−	24.5894i	−0.144911	−	0.791971i
$965$			43.3716i			1.39618i
$966$	5.52435	−	5.08344i	0.177743	−	0.163557i
$967$			4.57289i			0.147054i	0.997293	+	0.0735271i	$0.0234255\pi$
$967$			4.57289i			0.147054i	−0.997293	+	0.0735271i	$0.976574\pi$
$968$	2.73899	+	0.705626i	0.0880346	+	0.0226797i
$969$	4.79933	−	2.77089i	0.154177	−	0.0890139i
$970$	−2.90106	−	31.9732i	−0.0931476	−	1.02660i
$971$	2.46746	−	4.27377i	0.0791846	−	0.137152i	−0.823714	−	0.567006i	$-0.808102\pi$
$971$	2.46746	−	4.27377i	0.0791846	−	0.137152i	0.902898	+	0.429854i	$0.141435\pi$
$972$	10.3521	+	12.1770i	0.332043	+	0.390578i
$973$	−0.631913	−	4.84203i	−0.0202582	−	0.155228i
$974$	6.46128	−	13.9736i	0.207033	−	0.447741i
$975$	−7.40403	−	4.27472i	−0.237119	−	0.136901i
$976$	−0.700823	−	1.85097i	−0.0224328	−	0.0592480i
$977$	−4.68194	−	8.10937i	−0.149789	−	0.259442i	0.781361	−	0.624080i	$-0.214526\pi$
$977$	−4.68194	−	8.10937i	−0.149789	−	0.259442i	−0.931149	+	0.364638i	$0.881193\pi$
$978$	0.118239	+	0.167711i	0.00378088	+	0.00536282i
$979$	−12.8336			−0.410163
$980$	−32.6195	+	47.0029i	−1.04199	+	1.50145i
$981$	−27.2297			−0.869379
$982$	12.8820	+	18.2718i	0.411080	+	0.583078i
$983$	−3.41000	−	5.90630i	−0.108762	−	0.188382i	0.806507	−	0.591225i	$-0.201355\pi$
$983$	−3.41000	−	5.90630i	−0.108762	−	0.188382i	−0.915269	+	0.402843i	$0.868022\pi$
$984$	0.635116	+	0.622963i	0.0202468	+	0.0198593i
$985$	−56.2004	−	32.4473i	−1.79069	−	1.03386i
$986$	1.08560	−	2.34779i	0.0345726	−	0.0747689i
$987$	−1.07481	−	8.23569i	−0.0342115	−	0.262145i
$988$	−18.2105	+	15.4813i	−0.579353	+	0.492527i
$989$	−27.0009	+	46.7669i	−0.858578	+	1.48710i
$990$	−1.51686	−	16.7177i	−0.0482091	−	0.531322i
$991$	−27.6824	+	15.9824i	−0.879360	+	0.507699i	−0.870447	−	0.492261i	$-0.836170\pi$
$991$	−27.6824	+	15.9824i	−0.879360	+	0.507699i	−0.00891294	+	0.999960i	$0.502837\pi$
$992$	6.07042	+	12.4891i	0.192736	+	0.396529i
$993$		−	4.45154i		−	0.141265i
$994$	35.3839	−	32.5598i	1.12231	−	1.03274i
$995$		−	22.0844i		−	0.700122i
$996$	6.46878	−	1.18362i	0.204971	−	0.0375045i
$997$	−10.3876	+	5.99727i	−0.328978	+	0.189936i	−0.655387	−	0.755293i	$-0.727495\pi$
$997$	−10.3876	+	5.99727i	−0.328978	+	0.189936i	0.326409	+	0.945229i	$0.394161\pi$
$998$	−15.2094	+	1.38001i	−0.481446	+	0.0436836i
$999$	−3.23367	+	5.60087i	−0.102309	+	0.177204i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	308.2.l.a.243.8	yes	80
4.3	odd	2	inner	308.2.l.a.243.20	yes	80
7.3	odd	6	inner	308.2.l.a.199.20	yes	80
28.3	even	6	inner	308.2.l.a.199.8	✓	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
308.2.l.a.199.8	✓	80	28.3	even	6	inner
308.2.l.a.199.20	yes	80	7.3	odd	6	inner
308.2.l.a.243.8	yes	80	1.1	even	1	trivial
308.2.l.a.243.20	yes	80	4.3	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 $\F_{q}$

Introduction

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Modular forms

Varieties

Fields

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Groups

Database

Properties

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

Coefficient data

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	308.2.l.a.243.8

Level	$308$
Weight	$2$
Character	308.243
Analytic conductor	$2.459$
Analytic rank	$0$
Dimension	$80$
Inner twists	$4$