LMFDB - Embedded newform 185.2.v.a.104.15

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [185,2,Mod(4,185)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("185.4"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(185, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 1])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$185 = 5 \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	185.v (of order $18$ , degree $6$ , minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.47723243739$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$16$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			104.15
Character	$\chi$	$=$	185.104
Dual form			185.2.v.a.169.15

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.11103 - 0.768352i) q^{2} +(-0.602996 + 1.65672i) q^{3} +(2.33399 - 1.95845i) q^{4} +(0.120232 - 2.23283i) q^{5} +3.96069i q^{6} +(1.05310 - 0.185690i) q^{7} +(1.17583 - 2.03660i) q^{8} +(-0.0829802 - 0.0696287i) q^{9} +(-1.46179 - 4.80596i) q^{10} +(-0.107723 + 0.186582i) q^{11} +(1.83721 + 5.04770i) q^{12} +(-4.54644 + 3.81491i) q^{13} +(2.08045 - 1.20115i) q^{14} +(3.62668 + 1.54558i) q^{15} +(-0.140756 + 0.798269i) q^{16} +(-3.34390 - 2.80586i) q^{17} +(-0.228673 - 0.0832301i) q^{18} +(1.34424 - 3.69328i) q^{19} +(-4.09227 - 5.44688i) q^{20} +(-0.327380 + 1.85667i) q^{21} +(-0.0840463 + 0.476650i) q^{22} +(-1.58908 - 2.75237i) q^{23} +(2.66505 + 3.17608i) q^{24} +(-4.97109 - 0.536915i) q^{25} +(-6.66646 + 11.5467i) q^{26} +(-4.41513 + 2.54908i) q^{27} +(2.09427 - 2.49585i) q^{28} +(3.22377 + 1.86124i) q^{29} +(8.84357 + 0.476202i) q^{30} -2.43489i q^{31} +(1.13293 + 6.42519i) q^{32} +(-0.244158 - 0.290976i) q^{33} +(-9.21496 - 3.35397i) q^{34} +(-0.287999 - 2.37373i) q^{35} -0.330039 q^{36} +(-4.84213 + 3.68154i) q^{37} -8.82947i q^{38} +(-3.57876 - 9.83255i) q^{39} +(-4.40601 - 2.87030i) q^{40} +(1.58232 - 1.32773i) q^{41} +(0.735463 + 4.17102i) q^{42} +9.40443 q^{43} +(0.113987 + 0.646452i) q^{44} +(-0.165446 + 0.176909i) q^{45} +(-5.46938 - 4.58935i) q^{46} +(9.33803 - 5.39131i) q^{47} +(-1.23763 - 0.714547i) q^{48} +(-5.50330 + 2.00304i) q^{49} +(-10.9067 + 2.68610i) q^{50} +(6.66489 - 3.84797i) q^{51} +(-3.14002 + 17.8079i) q^{52} +(6.14257 + 1.08310i) q^{53} +(-7.36188 + 8.77355i) q^{54} +(0.403656 + 0.262962i) q^{55} +(0.860094 - 2.36309i) q^{56} +(5.30815 + 4.45407i) q^{57} +(8.23556 + 1.45215i) q^{58} +(-2.70230 - 0.476488i) q^{59} +(11.4916 - 3.49530i) q^{60} +(5.71443 + 6.81019i) q^{61} +(-1.87085 - 5.14012i) q^{62} +(-0.100316 - 0.0579175i) q^{63} +(6.51787 + 11.2893i) q^{64} +(7.97144 + 10.6101i) q^{65} +(-0.738996 - 0.426660i) q^{66} +(9.05289 - 1.59627i) q^{67} -13.2998 q^{68} +(5.51811 - 0.972991i) q^{69} +(-2.43183 - 4.78973i) q^{70} +(-1.81248 - 0.659688i) q^{71} +(-0.239376 + 0.0871258i) q^{72} -0.242447i q^{73} +(-7.39317 + 11.4923i) q^{74} +(3.88707 - 7.91194i) q^{75} +(-4.09565 - 11.2527i) q^{76} +(-0.0787973 + 0.216494i) q^{77} +(-15.1097 - 18.0071i) q^{78} +(1.58386 - 0.279276i) q^{79} +(1.76548 + 0.410263i) q^{80} +(-1.61723 - 9.17175i) q^{81} +(2.32017 - 4.01865i) q^{82} +(0.918429 - 1.09454i) q^{83} +(2.87208 + 4.97460i) q^{84} +(-6.66707 + 7.12901i) q^{85} +(19.8530 - 7.22591i) q^{86} +(-5.02748 + 4.21856i) q^{87} +(0.253329 + 0.438779i) q^{88} +(-9.15190 - 1.61373i) q^{89} +(-0.213333 + 0.500582i) q^{90} +(-4.07947 + 4.86173i) q^{91} +(-9.09926 - 3.31186i) q^{92} +(4.03393 + 1.46823i) q^{93} +(15.5704 - 18.5561i) q^{94} +(-8.08486 - 3.44552i) q^{95} +(-11.3279 - 1.99741i) q^{96} +(-8.07516 - 13.9866i) q^{97} +(-10.0786 + 8.45694i) q^{98} +(0.0219304 - 0.00798202i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$96 q - 12 q^{4} - 12 q^{5} - 6 q^{9} - 3 q^{10} - 30 q^{11} - 36 q^{14} - 21 q^{15} - 18 q^{19} - 39 q^{20} - 24 q^{21} + 96 q^{24} + 36 q^{25} + 48 q^{26} - 18 q^{29} - 30 q^{30} - 54 q^{34} + 6 q^{35}+ \cdots - 24 q^{99}+O(q^{100})$ 96 * q - 12 * q^4 - 12 * q^5 - 6 * q^9 - 3 * q^10 - 30 * q^11 - 36 * q^14 - 21 * q^15 - 18 * q^19 - 39 * q^20 - 24 * q^21 + 96 * q^24 + 36 * q^25 + 48 * q^26 - 18 * q^29 - 30 * q^30 - 54 * q^34 + 6 * q^35 + 24 * q^36 - 36 * q^39 - 63 * q^40 + 72 * q^41 - 84 * q^44 - 36 * q^45 - 18 * q^46 - 6 * q^49 - 27 * q^50 - 18 * q^51 + 24 * q^54 + 6 * q^55 + 90 * q^56 + 18 * q^59 + 108 * q^60 - 144 * q^61 + 66 * q^64 + 27 * q^65 - 36 * q^66 - 6 * q^69 - 66 * q^70 - 30 * q^71 - 6 * q^74 + 96 * q^75 - 54 * q^76 + 60 * q^79 - 18 * q^81 + 48 * q^84 + 21 * q^85 - 72 * q^86 + 108 * q^89 + 165 * q^90 - 54 * q^91 + 6 * q^94 + 57 * q^95 + 24 * q^96 - 24 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/185\mathbb{Z}\right)^\times$ .

$n$	$76$	$112$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

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

)

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

$2$	2.11103	−	0.768352i	1.49272	−	0.543307i	0.538558	−	0.842588i	$-0.318969\pi$
$2$	2.11103	−	0.768352i	1.49272	−	0.543307i	0.954165	+	0.299282i	$0.0967471\pi$
$3$	−0.602996	+	1.65672i	−0.348140	+	0.956507i	0.634815	+	0.772664i	$0.281076\pi$
$3$	−0.602996	+	1.65672i	−0.348140	+	0.956507i	−0.982956	+	0.183843i	$0.941146\pi$
$4$	2.33399	−	1.95845i	1.16699	−	0.979225i
$5$	0.120232	−	2.23283i	0.0537693	−	0.998553i
$5$	0.120232	−	2.23283i	0.0537693	−	0.998553i
$6$			3.96069i			1.61695i
$7$	1.05310	−	0.185690i	0.398035	−	0.0701844i	0.0289524	−	0.999581i	$-0.490783\pi$
$7$	1.05310	−	0.185690i	0.398035	−	0.0701844i	0.369083	+	0.929396i	$0.379672\pi$
$8$	1.17583	−	2.03660i	0.415719	−	0.720046i
$9$	−0.0829802	−	0.0696287i	−0.0276601	−	0.0232096i
$10$	−1.46179	−	4.80596i	−0.462258	−	1.51978i
$11$	−0.107723	+	0.186582i	−0.0324798	+	0.0562567i	−0.881808	−	0.471608i	$-0.843674\pi$
$11$	−0.107723	+	0.186582i	−0.0324798	+	0.0562567i	0.849329	+	0.527865i	$0.177007\pi$
$12$	1.83721	+	5.04770i	0.530358	+	1.45715i
$13$	−4.54644	+	3.81491i	−1.26095	+	1.05807i	−0.265375	+	0.964145i	$0.585496\pi$
$13$	−4.54644	+	3.81491i	−1.26095	+	1.05807i	−0.995580	+	0.0939215i	$0.970060\pi$
$14$	2.08045	−	1.20115i	0.556025	−	0.321021i
$15$	3.62668	+	1.54558i	0.936404	+	0.399067i
$16$	−0.140756	+	0.798269i	−0.0351891	+	0.199567i
$17$	−3.34390	−	2.80586i	−0.811015	−	0.680522i	0.139835	−	0.990175i	$-0.455343\pi$
$17$	−3.34390	−	2.80586i	−0.811015	−	0.680522i	−0.950850	+	0.309653i	$0.899787\pi$
$18$	−0.228673	−	0.0832301i	−0.0538987	−	0.0196175i
$19$	1.34424	−	3.69328i	0.308391	−	0.847297i	−0.684580	−	0.728938i	$-0.740014\pi$
$19$	1.34424	−	3.69328i	0.308391	−	0.847297i	0.992971	−	0.118359i	$-0.0377634\pi$
$20$	−4.09227	−	5.44688i	−0.915060	−	1.21796i
$21$	−0.327380	+	1.85667i	−0.0714402	+	0.405158i
$22$	−0.0840463	+	0.476650i	−0.0179187	+	0.101622i
$23$	−1.58908	−	2.75237i	−0.331346	−	0.573908i	0.651430	−	0.758709i	$-0.274169\pi$
$23$	−1.58908	−	2.75237i	−0.331346	−	0.573908i	−0.982776	+	0.184801i	$0.940836\pi$
$24$	2.66505	+	3.17608i	0.544001	+	0.648315i
$25$	−4.97109	−	0.536915i	−0.994218	−	0.107383i
$26$	−6.66646	+	11.5467i	−1.30740	+	2.26449i
$27$	−4.41513	+	2.54908i	−0.849692	+	0.490570i
$28$	2.09427	−	2.49585i	0.395779	−	0.471671i
$29$	3.22377	+	1.86124i	0.598639	+	0.345624i	0.768506	−	0.639843i	$-0.221000\pi$
$29$	3.22377	+	1.86124i	0.598639	+	0.345624i	−0.169867	+	0.985467i	$0.554334\pi$
$30$	8.84357	+	0.476202i	1.61461	+	0.0869422i
$31$		−	2.43489i		−	0.437319i	−0.975801	−	0.218660i	$-0.929832\pi$
$31$		−	2.43489i		−	0.437319i	0.975801	−	0.218660i	$-0.0701684\pi$
$32$	1.13293	+	6.42519i	0.200276	+	1.13582i
$33$	−0.244158	−	0.290976i	−0.0425024	−	0.0506524i
$34$	−9.21496	−	3.35397i	−1.58035	−	0.575201i
$35$	−0.287999	−	2.37373i	−0.0486808	−	0.401233i
$36$	−0.330039			−0.0550065
$37$	−4.84213	+	3.68154i	−0.796042	+	0.605241i
$37$	−4.84213	+	3.68154i	−0.796042	+	0.605241i
$38$		−	8.82947i		−	1.43233i
$39$	−3.57876	−	9.83255i	−0.573059	−	1.57447i
$40$	−4.40601	−	2.87030i	−0.696652	−	0.453834i
$41$	1.58232	−	1.32773i	0.247117	−	0.207356i	−0.510813	−	0.859692i	$-0.670655\pi$
$41$	1.58232	−	1.32773i	0.247117	−	0.207356i	0.757930	+	0.652336i	$0.226211\pi$
$42$	0.735463	+	4.17102i	0.113484	+	0.643602i
$43$	9.40443			1.43416			0.717081	−	0.696989i	$-0.245478\pi$
$43$	9.40443			1.43416			0.717081	+	0.696989i	$0.245478\pi$
$44$	0.113987	+	0.646452i	0.0171842	+	0.0974564i
$45$	−0.165446	+	0.176909i	−0.0246632	+	0.0263721i
$46$	−5.46938	−	4.58935i	−0.806416	−	0.676663i
$47$	9.33803	−	5.39131i	1.36209	−	0.786404i	0.372190	−	0.928157i	$-0.378607\pi$
$47$	9.33803	−	5.39131i	1.36209	−	0.786404i	0.989902	+	0.141753i	$0.0452737\pi$
$48$	−1.23763	−	0.714547i	−0.178637	−	0.103136i
$49$	−5.50330	+	2.00304i	−0.786186	+	0.286148i
$50$	−10.9067	+	2.68610i	−1.54243	+	0.379872i
$51$	6.66489	−	3.84797i	0.933271	−	0.538824i
$52$	−3.14002	+	17.8079i	−0.435442	+	2.46952i
$53$	6.14257	+	1.08310i	0.843747	+	0.148775i	0.578781	−	0.815483i	$-0.303528\pi$
$53$	6.14257	+	1.08310i	0.843747	+	0.148775i	0.264965	+	0.964258i	$0.414640\pi$
$54$	−7.36188	+	8.77355i	−1.00182	+	1.19393i
$55$	0.403656	+	0.262962i	0.0544289	+	0.0354577i
$56$	0.860094	−	2.36309i	0.114935	−	0.315781i
$57$	5.30815	+	4.45407i	0.703082	+	0.589956i
$58$	8.23556	+	1.45215i	1.08138	+	0.190677i
$59$	−2.70230	−	0.476488i	−0.351809	−	0.0620335i	−0.00504903	−	0.999987i	$-0.501607\pi$
$59$	−2.70230	−	0.476488i	−0.351809	−	0.0620335i	−0.346760	+	0.937954i	$0.612718\pi$
$60$	11.4916	−	3.49530i	1.48356	−	0.451241i
$61$	5.71443	+	6.81019i	0.731657	+	0.871955i	0.995708	−	0.0925536i	$-0.0295029\pi$
$61$	5.71443	+	6.81019i	0.731657	+	0.871955i	−0.264050	+	0.964509i	$0.585059\pi$
$62$	−1.87085	−	5.14012i	−0.237598	−	0.652796i
$63$	−0.100316	−	0.0579175i	−0.0126386	−	0.00729692i
$64$	6.51787	+	11.2893i	0.814734	+	1.41116i
$65$	7.97144	+	10.6101i	0.988735	+	1.31602i
$66$	−0.738996	−	0.426660i	−0.0909642	−	0.0525182i
$67$	9.05289	−	1.59627i	1.10599	−	0.195015i	0.409306	−	0.912397i	$-0.365771\pi$
$67$	9.05289	−	1.59627i	1.10599	−	0.195015i	0.696680	+	0.717382i	$0.254660\pi$
$68$	−13.2998			−1.61283
$69$	5.51811	−	0.972991i	0.664302	−	0.117134i
$70$	−2.43183	−	4.78973i	−0.290660	−	0.572482i
$71$	−1.81248	−	0.659688i	−0.215102	−	0.0782906i	0.232222	−	0.972663i	$-0.425400\pi$
$71$	−1.81248	−	0.659688i	−0.215102	−	0.0782906i	−0.447323	+	0.894372i	$0.647623\pi$
$72$	−0.239376	+	0.0871258i	−0.0282108	+	0.0102679i
$73$		−	0.242447i		−	0.0283763i	−0.999899	−	0.0141882i	$-0.995484\pi$
$73$		−	0.242447i		−	0.0283763i	0.999899	−	0.0141882i	$-0.00451638\pi$
$74$	−7.39317	+	11.4923i	−0.859438	+	1.33595i
$75$	3.88707	−	7.91194i	0.448840	−	0.913592i
$76$	−4.09565	−	11.2527i	−0.469804	−	1.29077i
$77$	−0.0787973	+	0.216494i	−0.00897978	+	0.0246718i
$78$	−15.1097	−	18.0071i	−1.71084	−	2.03890i
$79$	1.58386	−	0.279276i	0.178198	−	0.0314210i	−0.0838372	−	0.996479i	$-0.526718\pi$
$79$	1.58386	−	0.279276i	0.178198	−	0.0314210i	0.262035	+	0.965058i	$0.415606\pi$
$80$	1.76548	+	0.410263i	0.197386	+	0.0458688i
$81$	−1.61723	−	9.17175i	−0.179692	−	1.01908i
$82$	2.32017	−	4.01865i	0.256219	−	0.443785i
$83$	0.918429	−	1.09454i	0.100811	−	0.120142i	−0.713280	−	0.700879i	$-0.752791\pi$
$83$	0.918429	−	1.09454i	0.100811	−	0.120142i	0.814091	+	0.580737i	$0.197236\pi$
$84$	2.87208	+	4.97460i	0.313370	+	0.542773i
$85$	−6.66707	+	7.12901i	−0.723145	+	0.773250i
$86$	19.8530	−	7.22591i	2.14081	−	0.779190i
$87$	−5.02748	+	4.21856i	−0.539002	+	0.452277i
$88$	0.253329	+	0.438779i	0.0270050	+	0.0467740i
$89$	−9.15190	−	1.61373i	−0.970100	−	0.171055i	−0.333925	−	0.942600i	$-0.608373\pi$
$89$	−9.15190	−	1.61373i	−0.970100	−	0.171055i	−0.636175	+	0.771545i	$0.719484\pi$
$90$	−0.213333	+	0.500582i	−0.0224873	+	0.0527659i
$91$	−4.07947	+	4.86173i	−0.427645	+	0.509647i
$92$	−9.09926	−	3.31186i	−0.948664	−	0.345285i
$93$	4.03393	+	1.46823i	0.418299	+	0.152248i
$94$	15.5704	−	18.5561i	1.60597	−	1.91392i
$95$	−8.08486	−	3.44552i	−0.829489	−	0.353503i
$96$	−11.3279	−	1.99741i	−1.15615	−	0.203860i
$97$	−8.07516	−	13.9866i	−0.819908	−	1.42012i	−0.905749	−	0.423814i	$-0.860691\pi$
$97$	−8.07516	−	13.9866i	−0.819908	−	1.42012i	0.0858406	−	0.996309i	$-0.472642\pi$
$98$	−10.0786	+	8.45694i	−1.01809	+	0.854280i
$99$	0.0219304	−	0.00798202i	0.00220409	−	0.000802223i
$100$	−12.6540	+	8.48247i	−1.26540	+	0.848247i
$101$	−2.43044	−	4.20965i	−0.241838	−	0.418876i	0.719400	−	0.694596i	$-0.244417\pi$
$101$	−2.43044	−	4.20965i	−0.241838	−	0.418876i	−0.961238	+	0.275720i	$0.911084\pi$
$102$	11.1132	−	13.2442i	1.10037	−	1.31137i
$103$	−6.33785	+	10.9775i	−0.624487	+	1.08164i	0.364152	+	0.931339i	$0.381359\pi$
$103$	−6.33785	+	10.9775i	−0.624487	+	1.08164i	−0.988640	+	0.150304i	$0.951975\pi$
$104$	2.42361	+	13.7450i	0.237654	+	1.34780i
$105$	4.10626	+	0.954216i	0.400730	+	0.0931220i
$106$	13.7993	−	2.43320i	1.34031	−	0.236333i
$107$	2.71771	+	3.23884i	0.262731	+	0.313111i	0.881242	−	0.472666i	$-0.156708\pi$
$107$	2.71771	+	3.23884i	0.262731	+	0.313111i	−0.618511	+	0.785776i	$0.712264\pi$
$108$	−5.31263	+	14.5963i	−0.511208	+	1.40453i
$109$	−4.70871	−	12.9371i	−0.451013	−	1.23915i	−0.932012	−	0.362426i	$-0.881949\pi$
$109$	−4.70871	−	12.9371i	−0.451013	−	1.23915i	0.481000	−	0.876721i	$-0.340274\pi$
$110$	1.05418	+	0.244970i	0.100512	+	0.0233570i
$111$	−3.17949	−	10.2420i	−0.301783	−	0.972129i
$112$			0.866797i			0.0819046i
$113$	16.6975	−	6.07741i	1.57077	−	0.571714i	0.597601	−	0.801794i	$-0.296121\pi$
$113$	16.6975	−	6.07741i	1.57077	−	0.571714i	0.973172	+	0.230079i	$0.0738986\pi$
$114$	14.6280	+	5.32414i	1.37003	+	0.498652i
$115$	−6.33663	+	3.21723i	−0.590894	+	0.300008i
$116$	11.1694	−	1.96947i	1.03705	−	0.182860i
$117$	0.642892			0.0594354
$118$	−6.07074	+	1.07044i	−0.558857	+	0.0985416i
$119$	−4.04249	−	2.33393i	−0.370575	−	0.213951i
$120$	7.41209	−	5.56874i	0.676628	−	0.508354i
$121$	5.47679	+	9.48608i	0.497890	+	0.862371i
$122$	17.2959	+	9.98581i	1.56590	+	0.904073i
$123$	1.24553	+	3.42208i	0.112306	+	0.308558i
$124$	−4.76861	−	5.68301i	−0.428234	−	0.510349i
$125$	−1.79653	+	11.0351i	−0.160686	+	0.987006i
$126$	−0.256271	−	0.0451875i	−0.0228304	−	0.00402562i
$127$	−17.8785	−	3.15246i	−1.58646	−	0.279735i	−0.690318	−	0.723506i	$-0.742529\pi$
$127$	−17.8785	−	3.15246i	−1.58646	−	0.279735i	−0.896141	+	0.443770i	$0.853641\pi$
$128$	12.4377	+	10.4365i	1.09935	+	0.922466i
$129$	−5.67084	+	15.5805i	−0.499290	+	1.37179i
$130$	24.9802	+	16.2734i	2.19091	+	1.42727i
$131$	12.9124	−	15.3884i	1.12816	−	1.34449i	0.196779	−	0.980448i	$-0.436952\pi$
$131$	12.9124	−	15.3884i	1.12816	−	1.34449i	0.931382	−	0.364042i	$-0.118604\pi$
$132$	−1.13972	−	0.200964i	−0.0992002	−	0.0174917i
$133$	0.729820	−	4.13902i	0.0632835	−	0.358898i
$134$	17.8844	−	10.3256i	1.54498	−	0.891994i
$135$	5.16082	+	10.1647i	0.444173	+	0.874841i
$136$	−9.64628	+	3.51096i	−0.827161	+	0.301062i
$137$	8.77397	+	5.06566i	0.749611	+	0.432788i	0.825553	−	0.564324i	$-0.190863\pi$
$137$	8.77397	+	5.06566i	0.749611	+	0.432788i	−0.0759422	+	0.997112i	$0.524196\pi$
$138$	10.9013	−	6.29386i	0.927979	−	0.535769i
$139$	2.00041	+	1.67855i	0.169673	+	0.142372i	0.723670	−	0.690146i	$-0.242454\pi$
$139$	2.00041	+	1.67855i	0.169673	+	0.142372i	−0.553997	+	0.832519i	$0.686898\pi$
$140$	−5.32101	−	4.97623i	−0.449708	−	0.420568i
$141$	3.30109	+	18.7214i	0.278002	+	1.57663i
$142$	−4.33307			−0.363623
$143$	−0.222038	−	1.25924i	−0.0185678	−	0.105303i
$144$	0.0672624	−	0.0564399i	0.00560520	−	0.00470332i
$145$	4.54345	−	6.97436i	0.377313	−	0.579189i
$146$	−0.186285	−	0.511813i	−0.0154170	−	0.0423580i
$147$		−	10.3253i		−	0.851613i
$148$	−4.09138	+	18.0757i	−0.336309	+	1.48582i
$149$	−4.83367			−0.395990			−0.197995	−	0.980203i	$-0.563443\pi$
$149$	−4.83367			−0.395990			−0.197995	+	0.980203i	$0.563443\pi$
$150$	2.12656	−	19.6890i	0.173633	−	1.60760i
$151$	−17.3991	−	6.33275i	−1.41592	−	0.515352i	−0.483056	−	0.875589i	$-0.660473\pi$
$151$	−17.3991	−	6.33275i	−1.41592	−	0.515352i	−0.932860	+	0.360238i	$0.882696\pi$
$152$	−5.94113	−	7.08036i	−0.481889	−	0.574293i
$153$	0.0821089	+	0.465663i	0.00663811	+	0.0376466i
$154$			0.517569i			0.0417069i
$155$	−5.43670	−	0.292751i	−0.436686	−	0.0235144i
$156$	−27.6093	−	15.9403i	−2.21052	−	1.27624i
$157$	−12.9359	+	15.4165i	−1.03240	+	1.23037i	−0.0597210	+	0.998215i	$0.519021\pi$
$157$	−12.9359	+	15.4165i	−1.03240	+	1.23037i	−0.972680	+	0.232152i	$0.925423\pi$
$158$	3.12898	−	1.80652i	0.248928	−	0.143719i
$159$	−5.49834	+	9.52340i	−0.436047	+	0.755255i
$160$	14.4826	−	1.75714i	1.14495	−	0.138914i
$161$	−2.18455	−	2.60345i	−0.172167	−	0.205180i
$162$	−10.4611	−	18.1192i	−0.821905	−	1.42358i
$163$	2.32952	−	13.2114i	0.182462	−	1.03479i	−0.746711	−	0.665149i	$-0.768368\pi$
$163$	2.32952	−	13.2114i	0.182462	−	1.03479i	0.929173	−	0.369645i	$-0.120521\pi$
$164$	1.09284	−	6.19779i	0.0853363	−	0.483966i
$165$	−0.679057	+	0.510179i	−0.0528645	+	0.0397174i
$166$	1.09784	−	3.01628i	0.0852087	−	0.234109i
$167$	−2.08946	−	0.760502i	−0.161687	−	0.0588494i	0.259908	−	0.965633i	$-0.416308\pi$
$167$	−2.08946	−	0.760502i	−0.161687	−	0.0588494i	−0.421596	+	0.906784i	$0.638530\pi$
$168$	3.39634	+	2.84987i	0.262033	+	0.219872i
$169$	3.85910	−	21.8860i	0.296854	−	1.68354i
$170$	−8.59679	+	20.1722i	−0.659343	+	1.54714i
$171$	−0.368704	+	0.212871i	−0.0281955	+	0.0162787i
$172$	21.9498	−	18.4181i	1.67366	−	1.40437i
$173$	7.41530	+	20.3734i	0.563775	+	1.54896i	0.814056	+	0.580786i	$0.197255\pi$
$173$	7.41530	+	20.3734i	0.563775	+	1.54896i	−0.250281	+	0.968173i	$0.580523\pi$
$174$	−7.37182	+	12.7684i	−0.558856	+	0.967967i
$175$	−5.33477	+	0.357656i	−0.403271	+	0.0270363i
$176$	−0.133780	−	0.112255i	−0.0100841	−	0.00846154i
$177$	2.41888	−	4.18963i	0.181814	−	0.314912i
$178$	−20.5598	+	3.62525i	−1.54102	+	0.271724i
$179$			24.0775i			1.79964i	0.436264	+	0.899819i	$0.356301\pi$
$179$			24.0775i			1.79964i	−0.436264	+	0.899819i	$0.643699\pi$
$180$	−0.0396812	+	0.736922i	−0.00295766	+	0.0549270i
$181$	−17.5075	+	14.6905i	−1.30132	+	1.09194i	−0.311408	+	0.950276i	$0.600801\pi$
$181$	−17.5075	+	14.6905i	−1.30132	+	1.09194i	−0.989915	+	0.141663i	$0.954755\pi$
$182$	−4.87637	+	13.3977i	−0.361461	+	0.993105i
$183$	−14.7283	+	5.36068i	−1.08875	+	0.396273i
$184$	−7.47395			−0.550987
$185$	7.63808	+	11.2543i	0.561563	+	0.827434i
$186$	9.64385			0.707122
$187$	0.883741	−	0.321656i	0.0646256	−	0.0235218i
$188$	11.2362	−	30.8713i	0.819487	−	2.25152i
$189$	−4.17625	+	3.50429i	−0.303777	+	0.254899i
$190$	−19.7147	−	1.06158i	−1.43026	−	0.0770154i
$191$			7.86944i			0.569412i	0.958615	+	0.284706i	$0.0918961\pi$
$191$			7.86944i			0.569412i	−0.958615	+	0.284706i	$0.908104\pi$
$192$	−22.6334	+	3.99089i	−1.63343	+	0.288017i
$193$	1.66877	−	2.89039i	0.120121	−	0.208055i	−0.799694	−	0.600407i	$-0.795005\pi$
$193$	1.66877	−	2.89039i	0.120121	−	0.208055i	0.919815	+	0.392352i	$0.128339\pi$
$194$	−27.7935	−	23.3215i	−1.99546	−	1.67439i
$195$	−22.3847	+	6.80858i	−1.60300	+	0.487572i
$196$	−8.92180	+	15.4530i	−0.637271	+	1.10379i
$197$	−4.24063	−	11.6510i	−0.302132	−	0.830101i	−0.994129	−	0.108201i	$-0.965491\pi$
$197$	−4.24063	−	11.6510i	−0.302132	−	0.830101i	0.691997	−	0.721901i	$-0.256731\pi$
$198$	0.0401627	−	0.0337005i	0.00285424	−	0.00239499i
$199$	18.9318	−	10.9303i	1.34204	−	0.774826i	0.354932	−	0.934892i	$-0.384504\pi$
$199$	18.9318	−	10.9303i	1.34204	−	0.774826i	0.987106	+	0.160066i	$0.0511708\pi$
$200$	−6.93864	+	9.49279i	−0.490636	+	0.671241i
$201$	−2.81429	+	15.9606i	−0.198505	+	1.12578i
$202$	−8.36523	−	7.01926i	−0.588576	−	0.493874i
$203$	3.74058	+	1.36146i	0.262537	+	0.0955556i
$204$	8.01971	−	22.0340i	0.561492	−	1.54269i
$205$	−2.77434	−	3.69270i	−0.193769	−	0.257909i
$206$	−4.94482	+	28.0435i	−0.344522	+	1.95388i
$207$	−0.0597815	+	0.339037i	−0.00415510	+	0.0235647i
$208$	−2.40539	−	4.16625i	−0.166784	−	0.288878i
$209$	0.544295	+	0.648665i	0.0376497	+	0.0448691i
$210$	9.40162	−	1.14068i	0.648773	−	0.0787142i
$211$	−3.86743	+	6.69859i	−0.266245	+	0.461150i	−0.967889	−	0.251378i	$-0.919116\pi$
$211$	−3.86743	+	6.69859i	−0.266245	+	0.461150i	0.701644	+	0.712528i	$0.252450\pi$
$212$	16.4579	−	9.50196i	1.13033	−	0.652598i
$213$	2.18584	−	2.60498i	0.149771	−	0.178490i
$214$	8.22574	+	4.74913i	0.562300	+	0.324644i
$215$	1.13071	−	20.9985i	0.0771140	−	1.43209i
$216$			11.9891i			0.815757i
$217$	−0.452136	−	2.56419i	−0.0306930	−	0.174068i
$218$	−19.8804	−	23.6926i	−1.34647	−	1.60466i
$219$	0.401667	+	0.146195i	0.0271421	+	0.00987893i
$220$	1.45713	−	0.176790i	0.0982394	−	0.0119192i
$221$	25.9070			1.74269
$222$	−14.5815	−	19.1782i	−0.978643	−	1.28716i
$223$			13.9333i			0.933043i	0.884510	+	0.466521i	$0.154493\pi$
$223$			13.9333i			0.933043i	−0.884510	+	0.466521i	$0.845507\pi$
$224$	2.38619	+	6.55601i	0.159434	+	0.438042i
$225$	0.375117	+	0.390684i	0.0250078	+	0.0260456i
$226$	30.5794	−	25.6592i	2.03411	−	1.70682i
$227$	1.55463	+	8.81677i	0.103185	+	0.585189i	0.991930	+	0.126788i	$0.0404667\pi$
$227$	1.55463	+	8.81677i	0.103185	+	0.585189i	−0.888745	+	0.458402i	$0.848422\pi$
$228$	21.1122			1.39819
$229$	−2.12898	−	12.0740i	−0.140687	−	0.797874i	−0.970730	−	0.240175i	$-0.922795\pi$
$229$	−2.12898	−	12.0740i	−0.140687	−	0.797874i	0.830043	−	0.557700i	$-0.188316\pi$
$230$	−10.9049	+	11.6604i	−0.719045	+	0.768865i
$231$	−0.311155	−	0.261090i	−0.0204725	−	0.0171785i
$232$	7.58121	−	4.37701i	0.497731	−	0.287365i
$233$	8.29480	+	4.78901i	0.543410	+	0.313738i	0.746460	−	0.665430i	$-0.231752\pi$
$233$	8.29480	+	4.78901i	0.543410	+	0.313738i	−0.203050	+	0.979168i	$0.565085\pi$
$234$	1.35716	−	0.493967i	0.0887205	−	0.0322916i
$235$	−10.9152	−	21.4985i	−0.712028	−	1.40241i
$236$	−7.24031	+	4.18020i	−0.471304	+	0.272108i
$237$	−0.492376	+	2.79241i	−0.0319833	+	0.181386i
$238$	−10.3271	−	1.82095i	−0.669406	−	0.118034i
$239$	8.99415	−	10.7188i	0.581783	−	0.693342i	−0.392221	−	0.919871i	$-0.628293\pi$
$239$	8.99415	−	10.7188i	0.581783	−	0.693342i	0.974004	+	0.226529i	$0.0727377\pi$
$240$	−1.74427	+	2.67751i	−0.112592	+	0.172833i
$241$	−3.48870	+	9.58512i	−0.224727	+	0.617432i	−0.999897	−	0.0143200i	$-0.995442\pi$
$241$	−3.48870	+	9.58512i	−0.224727	+	0.617432i	0.775171	+	0.631752i	$0.217664\pi$
$242$	18.8503	+	15.8173i	1.21174	+	1.01677i
$243$	1.10809	+	0.195386i	0.0710839	+	0.0125340i
$244$	26.6748	+	4.70349i	1.70768	+	0.301110i
$245$	3.81078	+	12.5288i	0.243462	+	0.800435i
$246$	5.25872	+	6.26709i	0.335283	+	0.399575i
$247$	7.97803	+	21.9194i	0.507630	+	1.39470i
$248$	−4.95889	−	2.86302i	−0.314890	−	0.181802i
$249$	1.25954	+	2.18158i	0.0798200	+	0.138252i
$250$	4.68629	+	24.6757i	0.296387	+	1.56063i
$251$	8.91571	+	5.14749i	0.562754	+	0.324906i	0.754250	−	0.656587i	$-0.228001\pi$
$251$	8.91571	+	5.14749i	0.562754	+	0.324906i	−0.191496	+	0.981493i	$0.561334\pi$
$252$	−0.347565	+	0.0612851i	−0.0218945	+	0.00386060i
$253$	0.684724			0.0430483
$254$	−40.1642	+	7.08203i	−2.52013	+	0.444366i
$255$	−7.79055	−	15.3442i	−0.487863	−	0.960893i
$256$	9.77616	+	3.55823i	0.611010	+	0.222389i
$257$	5.35780	−	1.95008i	0.334210	−	0.121643i	−0.169464	−	0.985536i	$-0.554204\pi$
$257$	5.35780	−	1.95008i	0.334210	−	0.121643i	0.503674	+	0.863894i	$0.331981\pi$
$258$			37.2481i			2.31897i
$259$	−4.41564	+	4.77618i	−0.274374	+	0.296777i
$260$	39.3846	+	9.15222i	2.44253	+	0.567597i
$261$	−0.137913	−	0.378913i	−0.00853661	−	0.0234541i
$262$	15.4347	−	42.4066i	0.953561	−	2.61989i
$263$	5.09493	+	6.07190i	0.314167	+	0.374409i	0.899901	−	0.436094i	$-0.143638\pi$
$263$	5.09493	+	6.07190i	0.314167	+	0.374409i	−0.585735	+	0.810503i	$0.699194\pi$
$264$	−0.879690	+	0.155113i	−0.0541412	+	0.00954655i
$265$	3.15692	−	13.5851i	0.193928	−	0.834526i
$266$	−1.63955	−	9.29834i	−0.100527	−	0.570118i
$267$	8.19206	−	14.1891i	0.501346	−	0.868356i
$268$	18.0031	−	21.4553i	1.09972	−	1.31059i
$269$	3.95925	+	6.85763i	0.241400	+	0.418117i	0.961113	−	0.276154i	$-0.0890601\pi$
$269$	3.95925	+	6.85763i	0.241400	+	0.418117i	−0.719713	+	0.694271i	$0.755727\pi$
$270$	18.7047	+	17.4927i	1.13833	+	1.06457i
$271$	−26.1809	+	9.52907i	−1.59038	+	0.578850i	−0.977427	−	0.211273i	$-0.932239\pi$
$271$	−26.1809	+	9.52907i	−1.59038	+	0.578850i	−0.612949	+	0.790122i	$0.710017\pi$
$272$	2.71051	−	2.27439i	0.164349	−	0.137905i
$273$	−5.59461	−	9.69014i	−0.338601	−	0.586474i
$274$	22.4143	+	3.95225i	1.35410	+	0.238764i
$275$	0.635682	−	0.869680i	0.0383331	−	0.0524437i
$276$	10.9736	−	13.0779i	0.660536	−	0.787196i
$277$	−17.2749	−	6.28754i	−1.03795	−	0.377782i	−0.233845	−	0.972274i	$-0.575131\pi$
$277$	−17.2749	−	6.28754i	−1.03795	−	0.377782i	−0.804102	+	0.594492i	$0.797353\pi$
$278$	5.51264	+	2.00644i	0.330626	+	0.120338i
$279$	−0.169538	+	0.202048i	−0.0101500	+	0.0120963i
$280$	−5.17297	−	2.20456i	−0.309144	−	0.131748i
$281$	−31.3753	−	5.53231i	−1.87169	−	0.330030i	−0.881774	−	0.471673i	$-0.843650\pi$
$281$	−31.3753	−	5.53231i	−1.87169	−	0.330030i	−0.989918	+	0.141643i	$0.954761\pi$
$282$	21.3534	+	36.9851i	1.27157	+	2.20243i
$283$	11.4107	−	9.57476i	0.678299	−	0.569160i	−0.237210	−	0.971458i	$-0.576233\pi$
$283$	11.4107	−	9.57476i	0.678299	−	0.569160i	0.915509	+	0.402298i	$0.131789\pi$
$284$	−5.52227	+	2.00994i	−0.327687	+	0.119268i
$285$	10.5834	−	11.3167i	0.626907	−	0.670344i
$286$	−1.43627	−	2.48769i	−0.0849284	−	0.147100i
$287$	1.41980	−	1.69205i	0.0838082	−	0.0998787i
$288$	0.353366	−	0.612048i	0.0208223	−	0.0360653i
$289$	0.356766	+	2.02332i	0.0209862	+	0.119019i
$290$	4.23259	−	18.2140i	0.248546	−	1.06957i
$291$	28.0411	−	4.94441i	1.64380	−	0.289846i
$292$	−0.474821	−	0.565869i	−0.0277868	−	0.0331150i
$293$	−1.06429	+	2.92410i	−0.0621762	+	0.170828i	−0.966891	−	0.255190i	$-0.917862\pi$
$293$	−1.06429	+	2.92410i	−0.0621762	+	0.170828i	0.904715	+	0.426018i	$0.140084\pi$
$294$	−7.93343	−	21.7969i	−0.462687	−	1.27122i
$295$	−1.38882	+	5.97649i	−0.0808603	+	0.347965i
$296$	1.80429	+	14.1903i	0.104872	+	0.824797i
$297$		−	1.09838i		−	0.0637345i
$298$	−10.2040	+	3.71396i	−0.591103	+	0.215144i
$299$	17.7247	+	6.45126i	1.02505	+	0.373086i
$300$	−6.42276	−	26.0790i	−0.370818	−	1.50567i
$301$	9.90384	−	1.74631i	0.570848	−	0.100656i
$302$	−41.5957			−2.39356
$303$	8.43976	−	1.48816i	0.484852	−	0.0854924i
$304$	2.75902	+	1.59292i	0.158241	+	0.0913603i
$305$	15.8931	−	11.9406i	0.910035	−	0.683715i
$306$	0.531127	+	0.919938i	0.0303625	+	0.0525894i
$307$	4.60231	+	2.65714i	0.262667	+	0.151651i	0.625551	−	0.780183i	$-0.284874\pi$
$307$	4.60231	+	2.65714i	0.262667	+	0.151651i	−0.362883	+	0.931835i	$0.618208\pi$
$308$	0.240080	+	0.659615i	0.0136798	+	0.0375850i
$309$	−14.3649	−	17.1194i	−0.817191	−	0.973890i
$310$	−11.7020	+	3.55929i	−0.664627	+	0.202154i
$311$	0.572034	+	0.100865i	0.0324370	+	0.00571953i	0.189843	−	0.981814i	$-0.439202\pi$
$311$	0.572034	+	0.100865i	0.0324370	+	0.00571953i	−0.157406	+	0.987534i	$0.550313\pi$
$312$	−24.2330	−	4.27292i	−1.37192	−	0.241907i
$313$	5.63802	+	4.73086i	0.318679	+	0.267404i	0.788068	−	0.615588i	$-0.211081\pi$
$313$	5.63802	+	4.73086i	0.318679	+	0.267404i	−0.469389	+	0.882992i	$0.655526\pi$
$314$	−15.4629	+	42.4839i	−0.872621	+	2.39751i
$315$	−0.141381	+	0.217026i	−0.00796594	+	0.0122280i
$316$	3.14975	−	3.75373i	0.177187	−	0.211164i
$317$	−22.3877	−	3.94755i	−1.25742	−	0.221717i	−0.495052	−	0.868863i	$-0.664851\pi$
$317$	−22.3877	−	3.94755i	−1.25742	−	0.221717i	−0.762366	+	0.647146i	$0.775962\pi$
$318$	−4.28983	+	24.3288i	−0.240562	+	1.36429i
$319$	−0.694551	+	0.400999i	−0.0388874	+	0.0224516i
$320$	25.9908	−	13.1960i	1.45293	−	0.737679i
$321$	−7.00462	+	2.54947i	−0.390960	+	0.142298i
$322$	−6.61201	−	3.81745i	−0.368473	−	0.212738i
$323$	−14.8579	+	8.57819i	−0.826714	+	0.477303i
$324$	−21.7370	−	18.2395i	−1.20761	−	1.01331i
$325$	24.6490	−	16.5232i	1.36728	−	0.916543i
$326$	−5.23329	−	29.6795i	−0.289845	−	1.64379i
$327$	24.2724			1.34227
$328$	−0.843501	−	4.78373i	−0.0465746	−	0.264137i
$329$	8.83279	−	7.41159i	0.486968	−	0.408614i
$330$	−1.04151	+	1.59876i	−0.0573333	+	0.0880087i
$331$	0.923369	+	2.53693i	0.0507529	+	0.139443i	0.962479	−	0.271356i	$-0.0874721\pi$
$331$	0.923369	+	2.53693i	0.0507529	+	0.139443i	−0.911726	+	0.410799i	$0.865250\pi$
$332$		−	4.35334i		−	0.238921i
$333$	0.658142	+	0.0316565i	0.0360660	+	0.00173476i
$334$	−4.99525			−0.273328
$335$	−2.47576	−	20.4055i	−0.135265	−	1.11487i
$336$	−1.43604	−	0.522675i	−0.0783423	−	0.0285143i
$337$	10.6652	+	12.7103i	0.580971	+	0.692374i	0.973844	−	0.227218i	$-0.0729631\pi$
$337$	10.6652	+	12.7103i	0.580971	+	0.692374i	−0.392873	+	0.919593i	$0.628519\pi$
$338$	−8.66950	−	49.1672i	−0.471559	−	2.67434i
$339$			31.3278i			1.70149i
$340$	−1.59906	+	29.6962i	−0.0867210	+	1.61050i
$341$	0.454308	+	0.262295i	0.0246021	+	0.0142041i
$342$	−0.614785	+	0.732672i	−0.0332437	+	0.0396184i
$343$	−11.9062	+	6.87404i	−0.642873	+	0.371163i
$344$	11.0580	−	19.1531i	0.596208	−	1.03266i
$345$	−1.50907	−	12.4380i	−0.0812458	−	0.669639i
$346$	31.3078	+	37.3112i	1.68312	+	2.00586i
$347$	−10.8137	−	18.7298i	−0.580509	−	1.00547i	−0.995419	−	0.0956085i	$-0.969520\pi$
$347$	−10.8137	−	18.7298i	−0.580509	−	1.00547i	0.414910	−	0.909862i	$-0.363813\pi$
$348$	−3.47225	+	19.6921i	−0.186132	+	1.05561i
$349$	−4.48589	+	25.4408i	−0.240124	+	1.36181i	0.591424	+	0.806361i	$0.298566\pi$
$349$	−4.48589	+	25.4408i	−0.240124	+	1.36181i	−0.831548	+	0.555452i	$0.812545\pi$
$350$	−10.9870	+	4.85400i	−0.587282	+	0.259457i
$351$	10.3486	−	28.4326i	0.552368	−	1.51762i
$352$	−1.32087	−	0.480758i	−0.0704027	−	0.0256245i
$353$	−19.1486	−	16.0676i	−1.01918	−	0.855191i	−0.0296534	−	0.999560i	$-0.509440\pi$
$353$	−19.1486	−	16.0676i	−1.01918	−	0.855191i	−0.989524	+	0.144369i	$0.953885\pi$
$354$	1.88722	−	10.7030i	0.100305	−	0.568857i
$355$	−1.69089	+	3.96765i	−0.0897432	+	0.210581i
$356$	−24.5208	+	14.1571i	−1.29960	+	0.750326i
$357$	6.30428	−	5.28992i	0.333658	−	0.279972i
$358$	18.5000	+	50.8283i	0.977755	+	2.68636i
$359$	8.51899	−	14.7553i	0.449615	−	0.778756i	−0.548746	−	0.835989i	$-0.684895\pi$
$359$	8.51899	−	14.7553i	0.449615	−	0.778756i	0.998361	+	0.0572333i	$0.0182279\pi$
$360$	0.165757	+	0.544963i	0.00873615	+	0.0287221i
$361$	2.72151	+	2.28362i	0.143238	+	0.120191i
$362$	−25.6713	+	44.4641i	−1.34926	+	2.33698i
$363$	−19.0183	+	3.35343i	−0.998200	+	0.176010i
$364$			19.3367i			1.01352i
$365$	−0.541344	−	0.0291499i	−0.0283353	−	0.00152578i
$366$	−26.9731	+	22.6331i	−1.40991	+	1.18305i
$367$	10.3896	−	28.5453i	0.542334	−	1.49005i	−0.301511	−	0.953463i	$-0.597491\pi$
$367$	10.3896	−	28.5453i	0.542334	−	1.49005i	0.843845	−	0.536588i	$-0.180287\pi$
$368$	2.42080	−	0.881100i	0.126193	−	0.0459305i
$369$	−0.223749			−0.0116479
$370$	24.7715	+	17.8895i	1.28781	+	0.930028i
$371$	6.66988			0.346283
$372$	12.2906	−	4.47341i	0.637238	−	0.231936i
$373$	−2.58104	+	7.09136i	−0.133641	+	0.367177i	−0.988405	−	0.151841i	$-0.951480\pi$
$373$	−2.58104	+	7.09136i	−0.133641	+	0.367177i	0.854764	+	0.519018i	$0.173702\pi$
$374$	1.61846	−	1.35805i	0.0836885	−	0.0702230i
$375$	−17.1987	−	9.63044i	−0.888137	−	0.497314i
$376$		−	25.3571i		−	1.30769i
$377$	−21.7572	+	3.83637i	−1.12055	+	0.197583i
$378$	−6.12365	+	10.6065i	−0.314967	+	0.545538i
$379$	8.62568	+	7.23780i	0.443071	+	0.371781i	0.836857	−	0.547421i	$-0.184390\pi$
$379$	8.62568	+	7.23780i	0.443071	+	0.371781i	−0.393786	+	0.919202i	$0.628835\pi$
$380$	−25.6179	+	7.79197i	−1.31417	+	0.399720i
$381$	16.0034	−	27.7187i	0.819879	−	1.42007i
$382$	6.04649	+	16.6126i	0.309366	+	0.849975i
$383$	6.09117	−	5.11110i	0.311244	−	0.261165i	−0.473762	−	0.880653i	$-0.657104\pi$
$383$	6.09117	−	5.11110i	0.311244	−	0.261165i	0.785006	+	0.619488i	$0.212660\pi$
$384$	−24.7903	+	14.3127i	−1.26507	+	0.730391i
$385$	0.473921	+	0.201971i	0.0241532	+	0.0102934i
$386$	1.30198	−	7.38391i	0.0662691	−	0.375831i
$387$	−0.780382	−	0.654818i	−0.0396691	−	0.0332863i
$388$	−46.2394	−	16.8298i	−2.34745	−	0.854401i
$389$	0.893872	−	2.45589i	0.0453211	−	0.124519i	−0.914967	−	0.403528i	$-0.867784\pi$
$389$	0.893872	−	2.45589i	0.0453211	−	0.124519i	0.960288	+	0.279009i	$0.0900060\pi$
$390$	−42.0234	+	31.5724i	−2.12794	+	1.59873i
$391$	−2.40905	+	13.6624i	−0.121831	+	0.690936i
$392$	−2.39157	+	13.5633i	−0.120792	+	0.685048i
$393$	17.7081	+	30.6714i	0.893256	+	1.54717i
$394$	−17.9042	−	21.3374i	−0.901999	−	1.07496i
$395$	−0.433148	−	3.57006i	−0.0217940	−	0.179629i
$396$	0.0355530	−	0.0615795i	0.00178660	−	0.00309449i
$397$	17.2707	−	9.97122i	0.866790	−	0.500441i	0.000509692	−	1.00000i	$-0.499838\pi$
$397$	17.2707	−	9.97122i	0.866790	−	0.500441i	0.866280	+	0.499559i	$0.166504\pi$
$398$	31.5672	−	37.6204i	1.58232	−	1.88574i
$399$	6.41711	+	3.70492i	0.321257	+	0.185478i
$400$	1.12832	−	3.89269i	0.0564158	−	0.194635i
$401$		−	25.8893i		−	1.29285i	−0.762978	−	0.646424i	$-0.776264\pi$
$401$		−	25.8893i		−	1.29285i	0.762978	−	0.646424i	$-0.223736\pi$
$402$	6.32233	+	35.8557i	0.315329	+	1.78832i
$403$	9.28889	+	11.0701i	0.462713	+	0.551440i
$404$	−13.9170	−	5.06538i	−0.692398	−	0.252012i
$405$	−20.6734	+	2.50826i	−1.02727	+	0.124636i
$406$	8.94254			0.443811
$407$	−0.165299	−	1.30005i	−0.00819358	−	0.0644409i
$408$		−	18.0983i		−	0.895998i
$409$	2.11638	+	5.81471i	0.104648	+	0.287519i	0.980955	−	0.194235i	$-0.0622223\pi$
$409$	2.11638	+	5.81471i	0.104648	+	0.287519i	−0.876307	+	0.481753i	$0.840000\pi$
$410$	−8.69401	−	5.66371i	−0.429366	−	0.279711i
$411$	−13.6830	+	11.4814i	−0.674935	+	0.566338i
$412$	6.70637	+	38.0337i	0.330399	+	1.87379i
$413$	−2.93428			−0.144386
$414$	0.134300	+	0.761651i	0.00660047	+	0.0374331i
$415$	−2.33350	−	2.18230i	−0.114547	−	0.107125i
$416$	−29.6623	−	24.8897i	−1.45432	−	1.22032i
$417$	−3.98712	+	2.30197i	−0.195250	+	0.112728i
$418$	1.64743	+	0.951141i	0.0805782	+	0.0465218i
$419$	−11.0784	+	4.03222i	−0.541217	+	0.196987i	−0.598140	−	0.801392i	$-0.704093\pi$
$419$	−11.0784	+	4.03222i	−0.541217	+	0.196987i	0.0569227	+	0.998379i	$0.481871\pi$
$420$	11.4528	−	5.81478i	0.558837	−	0.283732i
$421$	3.44467	−	1.98878i	0.167883	−	0.0969273i	−0.413704	−	0.910411i	$-0.635765\pi$
$421$	3.44467	−	1.98878i	0.167883	−	0.0969273i	0.581587	+	0.813484i	$0.302432\pi$
$422$	−3.01739	+	17.1125i	−0.146884	+	0.833021i
$423$	−1.15026	−	0.202822i	−0.0559277	−	0.00986155i
$424$	9.42846	−	11.2364i	0.457886	−	0.545688i
$425$	15.1163	+	15.7436i	0.733249	+	0.763676i
$426$	2.61282	−	7.17868i	0.126592	−	0.347808i
$427$	7.28247	+	6.11071i	0.352423	+	0.295718i
$428$	12.6862	+	2.23692i	0.613212	+	0.108126i
$429$	2.22010	+	0.391463i	0.107187	+	0.0189000i
$430$	−13.7473	−	45.1973i	−0.662953	−	2.17961i
$431$	−21.4691	−	25.5859i	−1.03413	−	1.23243i	−0.972152	−	0.234351i	$-0.924704\pi$
$431$	−21.4691	−	25.5859i	−1.03413	−	1.23243i	−0.0619778	−	0.998078i	$-0.519741\pi$
$432$	−1.41339	−	3.88326i	−0.0680018	−	0.186833i
$433$	−7.43530	−	4.29277i	−0.357318	−	0.206298i	0.310586	−	0.950545i	$-0.399475\pi$
$433$	−7.43530	−	4.29277i	−0.357318	−	0.206298i	−0.667904	+	0.744248i	$0.732808\pi$
$434$	−2.92467	−	5.06568i	−0.140389	−	0.243160i
$435$	8.81487	+	11.7327i	0.422641	+	0.562541i
$436$	−36.3267	−	20.9732i	−1.73973	−	1.00443i
$437$	−12.3014	+	2.16906i	−0.588454	+	0.103760i
$438$	0.960260			0.0458830
$439$	5.27817	−	0.930683i	0.251913	−	0.0444191i	−0.0462654	−	0.998929i	$-0.514732\pi$
$439$	5.27817	−	0.930683i	0.251913	−	0.0444191i	0.298179	+	0.954510i	$0.403621\pi$
$440$	1.01018	−	0.512886i	0.0481583	−	0.0244509i
$441$	0.596134	+	0.216975i	0.0283873	+	0.0103322i
$442$	54.6903	−	19.9057i	2.60135	−	0.946815i
$443$		−	4.57823i		−	0.217518i	−0.994068	−	0.108759i	$-0.965312\pi$
$443$		−	4.57823i		−	0.217518i	0.994068	−	0.108759i	$-0.0346877\pi$
$444$	−27.4793	−	17.6779i	−1.30411	−	0.838955i
$445$	−4.70353	+	20.2406i	−0.222969	+	0.959499i
$446$	10.7057	+	29.4136i	0.506928	+	1.39277i
$447$	2.91469	−	8.00804i	0.137860	−	0.378767i
$448$	8.96031	+	10.6785i	0.423335	+	0.504511i
$449$	12.4229	−	2.19049i	0.586273	−	0.103376i	0.127359	−	0.991857i	$-0.459350\pi$
$449$	12.4229	−	2.19049i	0.586273	−	0.103376i	0.458914	+	0.888481i	$0.348239\pi$
$450$	1.09207	+	0.536522i	0.0514805	+	0.0252919i
$451$	0.0772772	+	0.438261i	0.00363884	+	0.0206369i
$452$	27.0696	−	46.8859i	1.27325	−	2.20533i
$453$	20.9832	−	25.0068i	0.985875	−	1.17492i
$454$	10.0563	+	17.4179i	0.471963	+	0.817465i
$455$	10.3649	+	9.69332i	0.485916	+	0.454430i
$456$	15.3126	−	5.57335i	0.717080	−	0.260996i
$457$	−23.2787	+	19.5331i	−1.08893	+	0.913721i	−0.996631	−	0.0820104i	$-0.973866\pi$
$457$	−23.2787	+	19.5331i	−1.08893	+	0.913721i	−0.0922987	+	0.995731i	$0.529421\pi$
$458$	−13.7714	−	23.8528i	−0.643497	−	1.11457i
$459$	21.9161	+	3.86440i	1.02296	+	0.180375i
$460$	−8.48886	+	19.9189i	−0.395795	+	0.928726i
$461$	0.471380	−	0.561769i	0.0219544	−	0.0261642i	−0.754956	−	0.655776i	$-0.772342\pi$
$461$	0.471380	−	0.561769i	0.0219544	−	0.0261642i	0.776910	+	0.629612i	$0.216786\pi$
$462$	−0.857466	−	0.312092i	−0.0398929	−	0.0145198i
$463$	−8.47560	−	3.08487i	−0.393894	−	0.143366i	0.137477	−	0.990505i	$-0.456101\pi$
$463$	−8.47560	−	3.08487i	−0.393894	−	0.143366i	−0.531371	+	0.847139i	$0.678323\pi$
$464$	−1.93954	+	2.31145i	−0.0900409	+	0.107307i
$465$	3.76332	−	8.83056i	0.174520	−	0.409507i
$466$	21.1902	+	3.73640i	0.981617	+	0.173086i
$467$	15.1024	+	26.1582i	0.698857	+	1.21046i	0.968863	+	0.247598i	$0.0796411\pi$
$467$	15.1024	+	26.1582i	0.698857	+	1.21046i	−0.270006	+	0.962859i	$0.587026\pi$
$468$	1.50050	−	1.25907i	0.0693608	−	0.0582006i
$469$	9.23721	−	3.36207i	0.426535	−	0.155246i
$470$	−39.5606	−	36.9972i	−1.82480	−	1.70655i
$471$	−17.7404	−	30.7273i	−0.817435	−	1.41584i
$472$	−4.14786	+	4.94323i	−0.190921	+	0.227530i
$473$	−1.01308	+	1.75470i	−0.0465814	+	0.0806813i
$474$	1.10613	+	6.27317i	0.0508062	+	0.288136i
$475$	−8.66534	+	17.6379i	−0.397593	+	0.809281i
$476$	−14.0060	+	2.46964i	−0.641965	+	0.113196i
$477$	−0.434297	−	0.517575i	−0.0198851	−	0.0236981i
$478$	10.7511	−	29.5384i	0.491744	−	1.35105i
$479$	−2.04419	−	5.61637i	−0.0934014	−	0.256618i	0.884191	−	0.467126i	$-0.154711\pi$
$479$	−2.04419	−	5.61637i	−0.0934014	−	0.256618i	−0.977592	+	0.210508i	$0.932488\pi$
$480$	−5.82186	+	25.0531i	−0.265730	+	1.14351i
$481$	7.96971	−	35.2102i	0.363387	−	1.60545i
$482$			22.9150i			1.04375i
$483$	5.63046	−	2.04932i	0.256195	−	0.0932473i
$484$	31.3608	+	11.4144i	1.42549	+	0.518836i
$485$	−32.2006	+	16.3489i	−1.46215	+	0.742363i
$486$	2.48933	−	0.438936i	0.112918	−	0.0199105i
$487$	29.8839			1.35417			0.677085	−	0.735905i	$-0.263243\pi$
$487$	29.8839			1.35417			0.677085	+	0.735905i	$0.263243\pi$
$488$	20.5888	−	3.63036i	0.932012	−	0.164339i
$489$	20.4828	+	11.8258i	0.926265	+	0.534779i
$490$	17.6712	+	23.5206i	0.798302	+	1.06255i
$491$	16.9739	+	29.3996i	0.766019	+	1.32678i	0.939706	+	0.341984i	$0.111099\pi$
$491$	16.9739	+	29.3996i	0.766019	+	1.32678i	−0.173686	+	0.984801i	$0.555568\pi$
$492$	9.60903	+	5.54777i	0.433208	+	0.250113i
$493$	−5.55756	−	15.2693i	−0.250300	−	0.687693i
$494$	33.6837	+	40.1427i	1.51550	+	1.80610i
$495$	−0.0151858	−	0.0499266i	−0.000682550	−	0.00224404i
$496$	1.94370	+	0.342726i	0.0872746	+	0.0153889i
$497$	−2.03122	−	0.358160i	−0.0911129	−	0.0160657i
$498$	4.33514	+	3.63762i	0.194262	+	0.163006i
$499$	2.06033	−	5.66070i	0.0922328	−	0.253408i	−0.884995	−	0.465601i	$-0.845838\pi$
$499$	2.06033	−	5.66070i	0.0922328	−	0.253408i	0.977228	+	0.212193i	$0.0680605\pi$
$500$	17.4185	+	29.2741i	0.778980	+	1.30918i
$501$	2.51988	−	3.00307i	0.112580	−	0.134167i
$502$	22.7764	+	4.01609i	1.01656	+	0.179247i
$503$	3.77631	−	21.4165i	0.168377	−	0.954915i	−0.777136	−	0.629332i	$-0.783328\pi$
$503$	3.77631	−	21.4165i	0.168377	−	0.954915i	0.945514	−	0.325583i	$-0.105560\pi$
$504$	−0.235909	+	0.136202i	−0.0105082	+	0.00606694i
$505$	−9.69167	+	4.92064i	−0.431274	+	0.218966i
$506$	1.44547	−	0.526109i	0.0642591	−	0.0233884i
$507$	33.9320	+	19.5906i	1.50697	+	0.870051i
$508$	−47.9021	+	27.6563i	−2.12531	+	1.22705i
$509$	8.04713	+	6.75234i	0.356683	+	0.299292i	0.803467	−	0.595349i	$-0.202986\pi$
$509$	8.04713	+	6.75234i	0.356683	+	0.299292i	−0.446784	+	0.894642i	$0.647431\pi$
$510$	−28.2358	−	26.4062i	−1.25030	−	1.16929i
$511$	−0.0450201	−	0.255322i	−0.00199157	−	0.0112948i
$512$	−9.10093			−0.402208
$513$	3.47944	+	19.7329i	0.153621	+	0.871229i
$514$	9.81212	−	8.23335i	0.432794	−	0.363157i
$515$	23.7489	+	15.4712i	1.04650	+	0.681743i
$516$	17.2780	+	47.4708i	0.760619	+	2.08978i
$517$			2.32308i			0.102169i
$518$	−5.65176	+	13.4754i	−0.248324	+	0.592076i
$519$	−38.2244			−1.67786
$520$	30.9816	−	3.75893i	1.35863	−	0.164840i
$521$	−6.94857	−	2.52907i	−0.304423	−	0.110801i	0.185292	−	0.982683i	$-0.440677\pi$
$521$	−6.94857	−	2.52907i	−0.304423	−	0.110801i	−0.489715	+	0.871883i	$0.662899\pi$
$522$	−0.582277	−	0.693931i	−0.0254856	−	0.0303725i
$523$	−3.77748	−	21.4232i	−0.165178	−	0.936770i	−0.948881	−	0.315634i	$-0.897783\pi$
$523$	−3.77748	−	21.4232i	−0.165178	−	0.936770i	0.783703	−	0.621135i	$-0.213328\pi$
$524$		−	61.2046i		−	2.67374i
$525$	2.62431	−	9.05388i	0.114534	−	0.395144i
$526$	15.4209	+	8.90326i	0.672383	+	0.388200i
$527$	−6.83197	+	8.14202i	−0.297605	+	0.354672i
$528$	0.266644	−	0.153947i	0.0116042	−	0.00669968i
$529$	6.44965	−	11.1711i	0.280420	−	0.485701i
$530$	−3.77380	−	31.1042i	−0.163923	−	1.35108i
$531$	0.191060	+	0.227697i	0.00829130	+	0.00988119i
$532$	−6.40266	−	11.0897i	−0.277591	−	0.480801i
$533$	−2.12877	+	12.0728i	−0.0922072	+	0.522933i
$534$	6.39148	−	36.2479i	0.276586	−	1.56860i
$535$	7.55855	−	5.67879i	0.326785	−	0.245515i
$536$	7.39371	−	20.3140i	0.319359	−	0.877433i
$537$	−39.8897	−	14.5187i	−1.72137	−	0.626526i
$538$	13.6272	+	11.4345i	0.587509	+	0.492978i
$539$	0.219103	−	1.24259i	0.00943743	−	0.0535223i
$540$	31.9524	+	13.6172i	1.37501	+	0.585989i
$541$	−6.97183	+	4.02519i	−0.299742	+	0.173056i	−0.642327	−	0.766431i	$-0.722031\pi$
$541$	−6.97183	+	4.02519i	−0.299742	+	0.173056i	0.342585	+	0.939487i	$0.388698\pi$
$542$	−47.9469	+	40.2323i	−2.05950	+	1.72812i
$543$	−13.7811	−	37.8634i	−0.591405	−	1.62487i
$544$	14.2398	−	24.6640i	0.610526	−	1.05746i
$545$	−29.4525	+	8.95831i	−1.26160	+	0.383732i
$546$	−19.2558	−	16.1575i	−0.824073	−	0.691479i
$547$	−18.5879	+	32.1952i	−0.794761	+	1.37657i	0.128231	+	0.991744i	$0.459070\pi$
$547$	−18.5879	+	32.1952i	−0.794761	+	1.37657i	−0.922991	+	0.384821i	$0.874263\pi$
$548$	30.3992	−	5.36020i	1.29859	−	0.228976i
$549$		−	0.962999i		−	0.0410998i
$550$	0.673723	−	2.32435i	0.0287276	−	0.0991104i
$551$	11.2076	−	9.40432i	0.477461	−	0.400637i
$552$	4.50677	−	12.3822i	0.191821	−	0.527023i
$553$	1.61610	−	0.588213i	0.0687237	−	0.0250134i
$554$	−41.2988			−1.75462
$555$	−23.2510	+	5.86785i	−0.986949	+	0.249076i
$556$	7.95629			0.337422
$557$	−18.7051	+	6.80811i	−0.792561	+	0.288469i	−0.706400	−	0.707813i	$-0.749682\pi$
$557$	−18.7051	+	6.80811i	−0.792561	+	0.288469i	−0.0861609	+	0.996281i	$0.527460\pi$
$558$	−0.202656	+	0.556793i	−0.00857912	+	0.0235709i
$559$	−42.7567	+	35.8771i	−1.80841	+	1.51744i
$560$	1.93541	+	0.104217i	0.0817861	+	0.00440395i
$561$			1.65807i			0.0700037i
$562$	−70.4848	+	12.4284i	−2.97322	+	0.524260i
$563$	8.52338	−	14.7629i	0.359218	−	0.622183i	−0.628613	−	0.777719i	$-0.716377\pi$
$563$	8.52338	−	14.7629i	0.359218	−	0.622183i	0.987830	+	0.155535i	$0.0497102\pi$
$564$	44.3697	+	37.2306i	1.86830	+	1.56769i
$565$	−11.5623	−	38.0135i	−0.486428	−	1.59924i
$566$	16.7316	−	28.9801i	0.703283	−	1.21812i
$567$	−3.40621	−	9.35849i	−0.143047	−	0.393020i
$568$	−3.47469	+	2.91561i	−0.145795	+	0.122336i
$569$	3.44480	−	1.98886i	0.144413	−	0.0833771i	−0.426052	−	0.904699i	$-0.640096\pi$
$569$	3.44480	−	1.98886i	0.144413	−	0.0833771i	0.570466	+	0.821321i	$0.306763\pi$
$570$	13.6467	−	32.0217i	0.571596	−	1.34124i
$571$	−0.648539	+	3.67805i	−0.0271405	+	0.153921i	−0.995366	−	0.0961564i	$-0.969345\pi$
$571$	−0.648539	+	3.67805i	−0.0271405	+	0.153921i	0.968226	+	0.250078i	$0.0804562\pi$
$572$	−2.98440	−	2.50420i	−0.124784	−	0.104706i
$573$	−13.0374	−	4.74524i	−0.544647	−	0.198235i
$574$	1.69715	−	4.66288i	0.0708376	−	0.194625i
$575$	6.42167	+	14.5355i	0.267802	+	0.606170i
$576$	0.245204	−	1.39062i	0.0102168	−	0.0579425i
$577$	−3.86525	+	21.9209i	−0.160912	+	0.912580i	0.792267	+	0.610174i	$0.208901\pi$
$577$	−3.86525	+	21.9209i	−0.160912	+	0.912580i	−0.953179	+	0.302405i	$0.902210\pi$
$578$	2.30777	+	3.99717i	0.0959904	+	0.166260i
$579$	3.78231	+	4.50758i	0.157187	+	0.187329i
$580$	−3.05457	−	25.1762i	−0.126834	−	1.04538i
$581$	0.763954	−	1.32321i	0.0316942	−	0.0548959i
$582$	55.3966	−	31.9833i	2.29626	−	1.32575i
$583$	−0.863786	+	1.02942i	−0.0357744	+	0.0426342i
$584$	−0.493768	−	0.285077i	−0.0204323	−	0.0117966i
$585$	0.0772961	−	1.43547i	0.00319580	−	0.0593494i
$586$			6.99061i			0.288779i
$587$	−5.58469	−	31.6724i	−0.230505	−	1.30726i	−0.851876	−	0.523743i	$-0.824535\pi$
$587$	−5.58469	−	31.6724i	−0.230505	−	1.30726i	0.621371	−	0.783516i	$-0.286576\pi$
$588$	−20.2215	−	24.0990i	−0.833920	−	0.993827i
$589$	−8.99273	−	3.27309i	−0.370539	−	0.134865i
$590$	1.66021	+	13.6837i	0.0683496	+	0.563347i
$591$	21.8596			0.899182
$592$	−2.25730	−	4.38353i	−0.0927744	−	0.180162i
$593$		−	22.2448i		−	0.913486i	−0.889599	−	0.456743i	$-0.849016\pi$
$593$		−	22.2448i		−	0.913486i	0.889599	−	0.456743i	$-0.150984\pi$
$594$	−0.843943	−	2.31871i	−0.0346274	−	0.0951380i
$595$	−5.69732	+	8.74560i	−0.233567	+	0.358534i
$596$	−11.2817	+	9.46650i	−0.462118	+	0.387763i
$597$	6.69259	+	37.9555i	0.273909	+	1.55342i
$598$	42.3742			1.73281
$599$	5.99975	+	34.0263i	0.245143	+	1.39028i	0.820160	+	0.572134i	$0.193884\pi$
$599$	5.99975	+	34.0263i	0.245143	+	1.39028i	−0.575017	+	0.818141i	$0.695005\pi$
$600$	−11.5429	−	17.2195i	−0.471237	−	0.702983i
$601$	−6.43803	−	5.40215i	−0.262613	−	0.220358i	0.501968	−	0.864886i	$-0.332609\pi$
$601$	−6.43803	−	5.40215i	−0.262613	−	0.220358i	−0.764581	+	0.644528i	$0.777054\pi$
$602$	19.5655	−	11.2961i	0.797430	−	0.460397i
$603$	−0.862357	−	0.497882i	−0.0351179	−	0.0202753i
$604$	−53.0116	+	19.2946i	−2.15701	+	0.785088i
$605$	21.8393	−	11.0882i	0.887895	−	0.450801i
$606$	16.6732	−	9.62625i	0.677300	−	0.391040i
$607$	−3.61629	+	20.5090i	−0.146781	+	0.832434i	0.819140	+	0.573594i	$0.194451\pi$
$607$	−3.61629	+	20.5090i	−0.146781	+	0.832434i	−0.965920	+	0.258840i	$0.916660\pi$
$608$	25.2530	+	4.45278i	1.02414	+	0.180584i
$609$	−4.51111	+	5.37613i	−0.182799	+	0.217852i
$610$	24.3762	−	37.4183i	0.986963	−	1.51502i
$611$	−21.8874	+	60.1351i	−0.885468	+	2.43280i
$612$	1.10362	+	0.926045i	0.0446111	+	0.0374332i
$613$	−23.1527	−	4.08244i	−0.935128	−	0.164888i	−0.314735	−	0.949180i	$-0.601916\pi$
$613$	−23.1527	−	4.08244i	−0.935128	−	0.164888i	−0.620393	+	0.784291i	$0.713027\pi$
$614$	11.7572	+	2.07311i	0.474483	+	0.0836641i
$615$	7.79068	−	2.36963i	0.314150	−	0.0955526i
$616$	0.348259	+	0.415038i	0.0140317	+	0.0167224i
$617$	−8.35321	−	22.9503i	−0.336288	−	0.923942i	−0.986438	−	0.164137i	$-0.947516\pi$
$617$	−8.35321	−	22.9503i	−0.336288	−	0.923942i	0.650150	−	0.759806i	$-0.274706\pi$
$618$	−43.4785	−	25.1023i	−1.74896	−	1.00976i
$619$	2.39506	+	4.14836i	0.0962655	+	0.166737i	0.910136	−	0.414309i	$-0.135977\pi$
$619$	2.39506	+	4.14836i	0.0962655	+	0.166737i	−0.813871	+	0.581046i	$0.802644\pi$
$620$	−13.2625	+	9.96423i	−0.532637	+	0.400173i
$621$	14.0320	+	8.10137i	0.563084	+	0.325097i
$622$	1.28508	−	0.226594i	0.0515270	−	0.00908560i
$623$	−9.93755			−0.398139
$624$	8.35275	−	1.47282i	0.334378	−	0.0589598i
$625$	24.4234	+	5.33811i	0.976938	+	0.213524i
$626$	15.5370	+	5.65500i	0.620982	+	0.226019i
$627$	−1.40286	+	0.510601i	−0.0560250	+	0.0203914i
$628$			61.3162i			2.44678i
$629$	26.5215	+	1.27568i	1.05748	+	0.0508646i
$630$	−0.131708	+	0.566778i	−0.00524738	+	0.0225810i
$631$	13.3898	+	36.7882i	0.533041	+	1.46452i	0.855434	+	0.517911i	$0.173290\pi$
$631$	13.3898	+	36.7882i	0.533041	+	1.46452i	−0.322394	+	0.946606i	$0.604488\pi$
$632$	1.29357	−	3.55406i	0.0514555	−	0.141373i
$633$	−8.76563	−	10.4465i	−0.348402	−	0.415210i
$634$	−50.2942	+	8.86822i	−1.99744	+	0.352202i
$635$	−9.18848	+	39.5406i	−0.364634	+	1.56912i
$636$	5.81804	+	32.9957i	0.230700	+	1.30837i
$637$	17.3790	−	30.1013i	0.688581	−	1.19266i
$638$	−1.15811	+	1.38018i	−0.0458500	+	0.0546419i
$639$	0.104467	+	0.180942i	0.00413264	+	0.00715794i
$640$	24.7984	−	26.5166i	0.980243	−	1.04816i
$641$	1.51477	−	0.551331i	0.0598298	−	0.0217763i	−0.311932	−	0.950104i	$-0.600976\pi$
$641$	1.51477	−	0.551331i	0.0598298	−	0.0217763i	0.371762	+	0.928328i	$0.378754\pi$
$642$	−12.8281	+	10.7640i	−0.506284	+	0.424822i
$643$	19.1939	+	33.2448i	0.756933	+	1.31105i	0.944408	+	0.328776i	$0.106636\pi$
$643$	19.1939	+	33.2448i	0.756933	+	1.31105i	−0.187475	+	0.982269i	$0.560030\pi$
$644$	−10.1974	−	1.79808i	−0.401835	−	0.0708544i
$645$	34.1069	+	14.5353i	1.34296	+	0.572327i
$646$	−24.7743	+	29.5249i	−0.974732	+	1.16164i
$647$	18.6881	+	6.80192i	0.734706	+	0.267411i	0.682156	−	0.731207i	$-0.261043\pi$
$647$	18.6881	+	6.80192i	0.734706	+	0.267411i	0.0525507	+	0.998618i	$0.483265\pi$
$648$	−20.5807	−	7.49078i	−0.808488	−	0.294266i
$649$	0.380005	−	0.452873i	0.0149165	−	0.0177768i
$650$	39.3392	−	53.8201i	1.54301	−	2.11100i
$651$	4.52078	+	0.797135i	0.177183	+	0.0312422i
$652$	−20.4367	−	35.3974i	−0.800363	−	1.38627i
$653$	−8.58220	+	7.20132i	−0.335847	+	0.281809i	−0.795077	−	0.606508i	$-0.792570\pi$
$653$	−8.58220	+	7.20132i	−0.335847	+	0.281809i	0.459230	+	0.888317i	$0.348125\pi$
$654$	51.2398	−	18.6498i	2.00363	−	0.729263i
$655$	−32.8072	−	30.6814i	−1.28188	−	1.19882i
$656$	0.837160	+	1.45000i	0.0326856	+	0.0566132i
$657$	−0.0168813	+	0.0201183i	−0.000658602	+	0.000784891i
$658$	12.9516	−	22.4328i	0.504905	−	0.874521i
$659$	−4.49748	−	25.5065i	−0.175197	−	0.993591i	−0.937916	−	0.346861i	$-0.887247\pi$
$659$	−4.49748	−	25.5065i	−0.175197	−	0.993591i	0.762720	−	0.646729i	$-0.223864\pi$
$660$	−0.585750	+	2.52065i	−0.0228003	+	0.0981162i
$661$	10.5830	−	1.86606i	0.411630	−	0.0725815i	0.0360014	−	0.999352i	$-0.488538\pi$
$661$	10.5830	−	1.86606i	0.411630	−	0.0725815i	0.375629	+	0.926770i	$0.377427\pi$
$662$	3.89852	+	4.64607i	0.151520	+	0.180575i
$663$	−15.6218	+	42.9206i	−0.606701	+	1.66690i
$664$	−1.14922	−	3.15747i	−0.0445985	−	0.122533i
$665$	−9.15399	−	2.12721i	−0.354976	−	0.0824896i
$666$	1.41368	−	0.438857i	0.0547790	−	0.0170054i
$667$		−	11.8307i		−	0.458085i
$668$	−6.36619	+	2.31710i	−0.246315	+	0.0896514i
$669$	−23.0836	−	8.40173i	−0.892462	−	0.324830i
$670$	−20.9050	−	41.1744i	−0.807631	−	1.59071i
$671$	−1.88624	+	0.332595i	−0.0728175	+	0.0128397i
$672$	−12.3003			−0.474495
$673$	47.7238	−	8.41500i	1.83962	−	0.324374i	0.857768	−	0.514037i	$-0.171850\pi$
$673$	47.7238	−	8.41500i	1.83962	−	0.324374i	0.981849	+	0.189662i	$0.0607393\pi$
$674$	32.2806	+	18.6372i	1.24340	+	0.717878i
$675$	23.3166	−	10.3011i	0.897458	−	0.396491i
$676$	−33.8556	−	58.6396i	−1.30214	−	2.25537i
$677$	−2.71222	−	1.56590i	−0.104239	−	0.0601825i	0.446974	−	0.894547i	$-0.352502\pi$
$677$	−2.71222	−	1.56590i	−0.104239	−	0.0601825i	−0.551213	+	0.834364i	$0.685835\pi$
$678$	24.0708	+	66.1339i	0.924432	+	2.53986i
$679$	−11.1012	−	13.2298i	−0.426023	−	0.507715i
$680$	6.67959	+	21.9607i	0.256151	+	0.842153i
$681$	−15.5443	−	2.74089i	−0.595661	−	0.105031i
$682$	1.16059	+	0.204644i	0.0444413	+	0.00783621i
$683$	−10.2981	−	8.64110i	−0.394044	−	0.330642i	0.424142	−	0.905596i	$-0.360576\pi$
$683$	−10.2981	−	8.64110i	−0.394044	−	0.330642i	−0.818186	+	0.574953i	$0.805020\pi$
$684$	−0.443653	+	1.21893i	−0.0169635	+	0.0466069i
$685$	12.3657	−	18.9818i	0.472468	−	0.725256i
$686$	−19.8526	+	23.6594i	−0.757976	+	0.903321i
$687$	21.2870	+	3.75348i	0.812151	+	0.143204i
$688$	−1.32373	+	7.50727i	−0.0504669	+	0.286212i
$689$	−32.0587	+	18.5091i	−1.22134	+	0.705141i
$690$	−12.7425	−	25.0975i	−0.485097	−	0.955444i
$691$	2.94793	−	1.07296i	0.112145	−	0.0408173i	−0.285338	−	0.958427i	$-0.592106\pi$
$691$	2.94793	−	1.07296i	0.112145	−	0.0408173i	0.397483	+	0.917610i	$0.369884\pi$
$692$	57.2075	+	33.0287i	2.17470	+	1.25556i
$693$	0.0216128	−	0.0124782i	0.000821002	−	0.000474006i
$694$	−37.2191	−	31.2305i	−1.41282	−	1.18549i
$695$	3.98843	−	4.26477i	0.151290	−	0.161772i
$696$	2.68004	+	15.1993i	0.101587	+	0.576127i
$697$	−9.01654			−0.341526
$698$	10.0776	+	57.1529i	0.381443	+	2.16327i
$699$	−12.9358	+	10.8544i	−0.489276	+	0.410551i
$700$	−11.7508	+	11.2826i	−0.444140	+	0.426444i
$701$	0.814874	+	2.23885i	0.0307774	+	0.0845601i	0.954130	−	0.299394i	$-0.0967844\pi$
$701$	0.814874	+	2.23885i	0.0307774	+	0.0845601i	−0.923352	+	0.383954i	$0.874562\pi$
$702$		−	67.9733i		−	2.56549i
$703$	7.08795	+	22.8323i	0.267327	+	0.861135i
$704$	−2.80851			−0.105850
$705$	42.1987	−	5.11988i	1.58930	−	0.192826i
$706$	−52.7688	−	19.2063i	−1.98598	−	0.722838i
$707$	−3.34120	−	3.98189i	−0.125659	−	0.149754i
$708$	−2.55953	−	14.5158i	−0.0961930	−	0.545538i
$709$		−	34.7951i		−	1.30676i	−0.757031	−	0.653379i	$-0.773351\pi$
$709$		−	34.7951i		−	1.30676i	0.757031	−	0.653379i	$-0.226649\pi$
$710$	−0.520973	+	9.67502i	−0.0195518	+	0.363097i
$711$	−0.150874	−	0.0871073i	−0.00565823	−	0.00326678i
$712$	−14.0476	+	16.7413i	−0.526456	+	0.627406i
$713$	−6.70171	+	3.86923i	−0.250981	+	0.144904i
$714$	9.24400	−	16.0111i	0.345948	−	0.599199i
$715$	−2.83837	+	0.344373i	−0.106149	+	0.0128788i
$716$	47.1546	+	56.1966i	1.76225	+	2.10017i
$717$	12.3346	+	21.3642i	0.460645	+	0.797860i
$718$	6.64655	−	37.6945i	0.248047	−	1.40675i
$719$	5.17805	−	29.3662i	0.193109	−	1.09517i	−0.721978	−	0.691916i	$-0.756767\pi$
$719$	5.17805	−	29.3662i	0.193109	−	1.09517i	0.915087	−	0.403258i	$-0.132122\pi$
$720$	−0.117934	−	0.156972i	−0.00439513	−	0.00584999i
$721$	−4.63600	+	12.7373i	−0.172654	+	0.474362i
$722$	7.49982	+	2.72971i	0.279114	+	0.101589i
$723$	−13.7762	−	11.5596i	−0.512342	−	0.429906i
$724$	−12.0916	+	68.5751i	−0.449382	+	2.54857i
$725$	−15.0263	−	10.9833i	−0.558063	−	0.407910i
$726$	−37.5715	+	21.6919i	−1.39441	+	0.805062i
$727$	15.6474	−	13.1297i	0.580331	−	0.486955i	−0.304725	−	0.952440i	$-0.598565\pi$
$727$	15.6474	−	13.1297i	0.580331	−	0.486955i	0.885056	+	0.465485i	$0.154120\pi$
$728$	5.10461	+	14.0248i	0.189190	+	0.519794i
$729$	12.9780	−	22.4785i	0.480666	−	0.832538i
$730$	−1.16519	+	0.354407i	−0.0431256	+	0.0131172i
$731$	−31.4475	−	26.3876i	−1.16313	−	0.975979i
$732$	−23.8772	+	41.3565i	−0.882526	+	1.52858i
$733$	0.334143	−	0.0589184i	0.0123419	−	0.00217620i	−0.167474	−	0.985877i	$-0.553561\pi$
$733$	0.334143	−	0.0589184i	0.0123419	−	0.00217620i	0.179816	+	0.983700i	$0.442450\pi$
$734$		−	68.2427i		−	2.51889i
$735$	−23.0546	−	1.24142i	−0.850381	−	0.0457906i
$736$	15.8841	−	13.3284i	0.585497	−	0.491291i
$737$	−0.677373	+	1.86107i	−0.0249513	+	0.0685533i
$738$	−0.472341	+	0.171918i	−0.0173871	+	0.00632839i
$739$	−4.56934			−0.168086			−0.0840429	−	0.996462i	$-0.526783\pi$
$739$	−4.56934			−0.168086			−0.0840429	+	0.996462i	$0.526783\pi$
$740$	39.8682	+	11.3087i	1.46558	+	0.415714i
$741$	−41.1251			−1.51077
$742$	14.0803	−	5.12481i	0.516904	−	0.188138i
$743$	−5.24877	+	14.4209i	−0.192559	+	0.529051i	−0.997971	−	0.0636636i	$-0.979722\pi$
$743$	−5.24877	+	14.4209i	−0.192559	+	0.529051i	0.805413	+	0.592714i	$0.201944\pi$
$744$	7.73341	−	6.48910i	0.283521	−	0.237902i
$745$	−0.581162	+	10.7928i	−0.0212921	+	0.395417i
$746$			16.9532i			0.620701i
$747$	−0.152423	+	0.0268763i	−0.00557686	+	0.000983351i
$748$	1.43270	−	2.48150i	0.0523846	−	0.0907328i
$749$	3.46345	+	2.90618i	0.126552	+	0.106190i
$750$	−43.7065	−	7.11549i	−1.59594	−	0.259821i
$751$	−8.58344	+	14.8670i	−0.313214	+	0.542503i	−0.979056	−	0.203590i	$-0.934739\pi$
$751$	−8.58344	+	14.8670i	−0.313214	+	0.542503i	0.665842	+	0.746093i	$0.268072\pi$
$752$	2.98933	+	8.21312i	0.109010	+	0.299502i
$753$	−13.9041	+	11.6669i	−0.506693	+	0.425166i
$754$	−42.9823	+	24.8158i	−1.56532	+	0.903739i
$755$	−16.2319	+	38.0878i	−0.590739	+	1.38616i
$756$	−2.88435	+	16.3579i	−0.104903	+	0.594932i
$757$	−2.33594	−	1.96009i	−0.0849012	−	0.0712406i	0.599349	−	0.800488i	$-0.295426\pi$
$757$	−2.33594	−	1.96009i	−0.0849012	−	0.0712406i	−0.684251	+	0.729247i	$0.739871\pi$
$758$	23.7702	+	8.65166i	0.863374	+	0.314242i
$759$	−0.412886	+	1.13440i	−0.0149868	+	0.0411760i
$760$	−16.5236	+	12.4143i	−0.599373	+	0.450312i
$761$	2.00329	−	11.3612i	0.0726193	−	0.411844i	−0.926728	−	0.375732i	$-0.877391\pi$
$761$	2.00329	−	11.3612i	0.0726193	−	0.411844i	0.999348	−	0.0361126i	$-0.0114975\pi$
$762$	12.4859	−	70.8112i	0.452317	−	2.56522i
$763$	−7.36105	−	12.7497i	−0.266488	−	0.461570i
$764$	15.4119	+	18.3672i	0.557583	+	0.664501i
$765$	1.04962	−	0.127348i	0.0379490	−	0.00460427i
$766$	8.93152	−	15.4698i	0.322709	−	0.558948i
$767$	14.1036	−	8.14271i	0.509251	−	0.294016i
$768$	−11.7900	+	14.0507i	−0.425434	+	0.507013i
$769$	27.7964	+	16.0483i	1.00236	+	0.578715i	0.908947	−	0.416912i	$-0.136888\pi$
$769$	27.7964	+	16.0483i	1.00236	+	0.578715i	0.0934169	+	0.995627i	$0.470221\pi$
$770$	1.15564	+	0.0622282i	0.0416465	+	0.00224255i
$771$			10.0523i			0.362023i
$772$	−1.76580	−	10.0144i	−0.0635525	−	0.360424i
$773$	10.6446	+	12.6857i	0.382859	+	0.456273i	0.922714	−	0.385484i	$-0.125966\pi$
$773$	10.6446	+	12.6857i	0.382859	+	0.456273i	−0.539856	+	0.841758i	$0.681521\pi$
$774$	−2.15054	−	0.782732i	−0.0772996	−	0.0281347i
$775$	−1.30733	+	12.1041i	−0.0469607	+	0.434790i
$776$	−37.9801			−1.36341
$777$	−5.25017	−	10.1955i	−0.188349	−	0.365761i
$778$		−	5.87127i		−	0.210495i
$779$	−2.77664	−	7.62875i	−0.0994833	−	0.273328i
$780$	−38.9114	+	59.7305i	−1.39325	+	2.13869i
$781$	0.318333	−	0.267113i	0.0113908	−	0.00955805i
$782$	5.41194	+	30.6927i	0.193531	+	1.09757i
$783$	−18.9778			−0.678212
$784$	−0.824339	−	4.67506i	−0.0294407	−	0.166966i
$785$	32.8671	+	30.7373i	1.17308	+	1.09706i
$786$	60.9487	+	51.1421i	2.17397	+	1.82418i
$787$	43.4026	−	25.0585i	1.54714	−	0.893240i	0.548778	−	0.835968i	$-0.315093\pi$
$787$	43.4026	−	25.0585i	1.54714	−	0.893240i	0.998359	−	0.0572717i	$-0.0182401\pi$
$788$	−32.7155	−	18.8883i	−1.16544	−	0.672868i
$789$	−13.1317	+	4.77953i	−0.467499	+	0.170156i
$790$	−3.65745	−	7.20369i	−0.130126	−	0.256296i
$791$	16.4557	−	9.50071i	0.585098	−	0.337806i
$792$	0.00953028	−	0.0540489i	0.000338644	−	0.00192054i
$793$	−51.9606	−	9.16205i	−1.84517	−	0.325354i
$794$	28.7975	−	34.3195i	1.02198	−	1.21795i
$795$	20.6031	+	13.4219i	0.730717	+	0.476026i
$796$	22.7802	−	62.5880i	0.807422	−	2.21837i
$797$	−4.89537	−	4.10771i	−0.173403	−	0.145502i	0.551956	−	0.833873i	$-0.313882\pi$
$797$	−4.89537	−	4.10771i	−0.173403	−	0.145502i	−0.725359	+	0.688371i	$0.758326\pi$
$798$	16.3934	+	2.89060i	0.580320	+	0.102326i
$799$	−46.3527	−	8.17324i	−1.63984	−	0.289148i
$800$	−2.18213	−	32.5485i	−0.0771500	−	1.15076i
$801$	0.647065	+	0.771142i	0.0228629	+	0.0272470i
$802$	−19.8921	−	54.6530i	−0.702413	−	1.92986i
$803$	0.0452364	+	0.0261173i	0.00159636	+	0.000921658i
$804$	24.6896	+	42.7636i	0.870734	+	1.50816i
$805$	−6.07572	+	4.56472i	−0.214141	+	0.160885i
$806$	28.1148	+	16.2321i	0.990303	+	0.571751i
$807$	−13.7486	+	2.42425i	−0.483973	+	0.0853375i
$808$	−11.4312			−0.402147
$809$	−34.4240	+	6.06987i	−1.21028	+	0.213405i	−0.742138	−	0.670247i	$-0.766188\pi$
$809$	−34.4240	+	6.06987i	−1.21028	+	0.213405i	−0.468144	+	0.883652i	$0.655077\pi$
$810$	−41.7150	+	21.1795i	−1.46571	+	0.744171i
$811$	24.0701	+	8.76081i	0.845216	+	0.307634i	0.728088	−	0.685483i	$-0.240409\pi$
$811$	24.0701	+	8.76081i	0.845216	+	0.307634i	0.117128	+	0.993117i	$0.462631\pi$
$812$	11.3968	−	4.14810i	0.399950	−	0.145570i
$813$		−	49.1204i		−	1.72273i
$814$	−1.34784	−	2.61743i	−0.0472419	−	0.0917407i
$815$	−29.2187	−	6.78985i	−1.02349	−	0.237838i
$816$	2.13359	+	5.86200i	0.0746907	+	0.205211i
$817$	12.6419	−	34.7332i	0.442283	−	1.21516i
$818$	8.93548	+	10.6489i	0.312422	+	0.372330i
$819$	0.677031	−	0.119379i	0.0236574	−	0.00417143i
$820$	−13.7072	−	3.18530i	−0.478678	−	0.111235i
$821$	−1.57030	−	8.90559i	−0.0548037	−	0.310807i	0.945067	−	0.326876i	$-0.105996\pi$
$821$	−1.57030	−	8.90559i	−0.0548037	−	0.310807i	−0.999871	+	0.0160689i	$0.994885\pi$
$822$	−20.0635	+	34.7510i	−0.699796	+	1.21208i
$823$	−10.6836	+	12.7322i	−0.372407	+	0.443818i	−0.919402	−	0.393318i	$-0.871327\pi$
$823$	−10.6836	+	12.7322i	−0.372407	+	0.443818i	0.546995	+	0.837136i	$0.315772\pi$
$824$	14.9045	+	25.8153i	0.519222	+	0.899319i
$825$	1.05750	+	1.57756i	0.0368175	+	0.0549236i
$826$	−6.19434	+	2.25456i	−0.215529	+	0.0784461i
$827$	−8.69904	+	7.29936i	−0.302495	+	0.253824i	−0.781382	−	0.624053i	$-0.785485\pi$
$827$	−8.69904	+	7.29936i	−0.302495	+	0.253824i	0.478887	+	0.877877i	$0.341040\pi$
$828$	0.524458	+	0.908389i	0.0182262	+	0.0315687i
$829$	27.3466	+	4.82194i	0.949787	+	0.167473i	0.627018	−	0.779005i	$-0.284275\pi$
$829$	27.3466	+	4.82194i	0.949787	+	0.167473i	0.322769	+	0.946478i	$0.395386\pi$
$830$	−6.60286	−	2.81394i	−0.229189	−	0.0976734i
$831$	20.8334	−	24.8283i	0.722702	−	0.861283i
$832$	−72.7008	−	26.4609i	−2.52045	−	0.917367i
$833$	24.0227	+	8.74356i	0.832339	+	0.302947i
$834$	−6.64821	+	7.92303i	−0.230209	+	0.274352i
$835$	−1.94929	+	4.57399i	−0.0674581	+	0.158289i
$836$	2.54076	+	0.448004i	0.0878739	+	0.0154945i
$837$	6.20672	+	10.7504i	0.214536	+	0.371587i
$838$	−20.2887	+	17.0243i	−0.700863	+	0.588094i
$839$	14.3458	−	5.22145i	0.495272	−	0.180264i	−0.0822941	−	0.996608i	$-0.526225\pi$
$839$	14.3458	−	5.22145i	0.495272	−	0.180264i	0.577566	+	0.816344i	$0.304002\pi$
$840$	6.77163	−	7.24081i	0.233643	−	0.249832i
$841$	−7.57154	−	13.1143i	−0.261088	−	0.452217i
$842$	5.74372	−	6.84510i	0.197942	−	0.235898i
$843$	28.0847	−	48.6440i	0.967287	−	1.67539i
$844$	4.09230	+	23.2086i	0.140863	+	0.798873i
$845$	−48.4039	−	11.2481i	−1.66514	−	0.386947i
$846$	−2.58408	+	0.455642i	−0.0888423	+	0.0156653i
$847$	7.52910	+	8.97283i	0.258703	+	0.308310i
$848$	−1.72921	+	4.75097i	−0.0593814	+	0.163149i
$849$	8.98204	+	24.6780i	0.308263	+	0.846945i
$850$	44.0076	+	21.6205i	1.50945	+	0.741578i
$851$	17.8275	+	7.47707i	0.611118	+	0.256311i
$852$		−	10.3608i		−	0.354957i
$853$	29.2114	−	10.6321i	1.00018	−	0.364036i	0.210526	−	0.977588i	$-0.432482\pi$
$853$	29.2114	−	10.6321i	1.00018	−	0.364036i	0.789654	+	0.613552i	$0.210260\pi$
$854$	20.0687	+	7.30440i	0.686736	+	0.249951i
$855$	0.430976	+	0.848848i	0.0147391	+	0.0290300i
$856$	9.79179	−	1.72656i	0.334677	−	0.0590125i
$857$	−17.7963			−0.607909			−0.303955	−	0.952687i	$-0.598307\pi$
$857$	−17.7963			−0.607909			−0.303955	+	0.952687i	$0.598307\pi$
$858$	4.98747	−	0.879426i	0.170269	−	0.0300231i
$859$	29.7351	+	17.1675i	1.01455	+	0.585749i	0.912520	−	0.409032i	$-0.134134\pi$
$859$	29.7351	+	17.1675i	1.01455	+	0.585749i	0.102028	+	0.994782i	$0.467467\pi$
$860$	−38.4855	−	51.2248i	−1.31234	−	1.74675i
$861$	1.94712	+	3.37251i	0.0663577	+	0.114935i
$862$	−64.9808	−	37.5167i	−2.21326	−	1.27782i
$863$	9.79638	+	26.9153i	0.333473	+	0.916209i	0.987201	+	0.159480i	$0.0509816\pi$
$863$	9.79638	+	26.9153i	0.333473	+	0.916209i	−0.653728	+	0.756729i	$0.726796\pi$
$864$	−21.3803	−	25.4801i	−0.727374	−	0.866851i
$865$	46.3819	−	14.1076i	1.57703	−	0.479673i
$866$	−18.9945	−	3.34924i	−0.645459	−	0.113812i
$867$	−3.56720	−	0.628994i	−0.121149	−	0.0213618i
$868$	−6.07711	−	5.09930i	−0.206271	−	0.173082i
$869$	−0.118510	+	0.325604i	−0.00402019	+	0.0110454i
$870$	27.6233	+	17.9952i	0.936518	+	0.610095i
$871$	−35.0688	+	41.7933i	−1.18826	+	1.41611i
$872$	−31.8843	−	5.62205i	−1.07974	−	0.190387i
$873$	−0.303789	+	1.72287i	−0.0102817	+	0.0583104i
$874$	−24.3019	+	14.0307i	−0.822026	+	0.474597i
$875$	0.157178	+	11.9546i	0.00531359	+	0.404141i
$876$	1.22380	−	0.445427i	0.0413484	−	0.0150496i
$877$	6.52438	+	3.76685i	0.220313	+	0.127198i	0.606095	−	0.795392i	$-0.292735\pi$
$877$	6.52438	+	3.76685i	0.220313	+	0.127198i	−0.385782	+	0.922590i	$0.626068\pi$
$878$	10.4273	−	6.02019i	0.351903	−	0.203171i
$879$	−4.20265	−	3.52644i	−0.141752	−	0.118944i
$880$	−0.266731	+	0.285212i	−0.00899151	+	0.00961451i
$881$	−2.73507	−	15.5114i	−0.0921469	−	0.522591i	−0.995584	−	0.0938712i	$-0.970076\pi$
$881$	−2.73507	−	15.5114i	−0.0921469	−	0.522591i	0.903437	−	0.428720i	$-0.141035\pi$
$882$	1.42517			0.0479880
$883$	−6.82347	−	38.6978i	−0.229628	−	1.30229i	−0.853637	−	0.520868i	$-0.825608\pi$
$883$	−6.82347	−	38.6978i	−0.229628	−	1.30229i	0.624009	−	0.781417i	$-0.285503\pi$
$884$	60.4666	−	50.7375i	2.03371	−	1.70649i
$885$	−9.06392	−	5.90469i	−0.304680	−	0.198484i
$886$	−3.51769	−	9.66477i	−0.118179	−	0.324694i
$887$		−	26.5275i		−	0.890706i	−0.895355	−	0.445353i	$-0.853078\pi$
$887$		−	26.5275i		−	0.890706i	0.895355	−	0.445353i	$-0.146922\pi$
$888$	−24.5974	−	5.56753i	−0.825435	−	0.186834i
$889$	−19.4133			−0.651100
$890$	5.62264	+	46.3426i	0.188471	+	1.55341i
$891$	1.88550	+	0.686266i	0.0631666	+	0.0229908i
$892$	27.2877	+	32.5202i	0.913659	+	1.08886i
$893$	−7.35904	−	41.7352i	−0.246261	−	1.39662i
$894$		−	19.1447i		−	0.640295i
$895$	53.7611	+	2.89488i	1.79703	+	0.0967653i
$896$	15.0362	+	8.68115i	0.502324	+	0.290017i
$897$	−21.3758	+	25.4747i	−0.713719	+	0.850577i
$898$	24.5420	−	14.1693i	0.818978	−	0.472837i
$899$	4.53192	−	7.84952i	0.151148	−	0.261796i
$900$	1.64065	+	0.177203i	0.0546885	+	0.00590677i
$901$	−17.5011	−	20.8570i	−0.583046	−	0.694847i
$902$	0.499873	+	0.865805i	0.0166439	+	0.0288281i
$903$	−3.07883	+	17.4609i	−0.102457	+	0.581062i
$904$	7.25624	−	41.1522i	0.241339	−	1.36870i
$905$	30.6966	+	40.8576i	1.02039	+	1.35815i
$906$	25.0821	−	68.9124i	0.833296	−	2.28946i
$907$	21.2432	+	7.73188i	0.705368	+	0.256733i	0.669701	−	0.742631i	$-0.266422\pi$
$907$	21.2432	+	7.73188i	0.705368	+	0.256733i	0.0356669	+	0.999364i	$0.488644\pi$
$908$	20.8957	+	17.5336i	0.693448	+	0.581872i
$909$	−0.0914338	+	0.518547i	−0.00303267	+	0.0171991i
$910$	29.3286	+	12.4990i	0.972232	+	0.414336i
$911$	33.8325	−	19.5332i	1.12092	−	0.647165i	0.179286	−	0.983797i	$-0.442621\pi$
$911$	33.8325	−	19.5332i	1.12092	−	0.647165i	0.941636	+	0.336632i	$0.109288\pi$
$912$	−4.30270	+	3.61040i	−0.142477	+	0.119552i
$913$	0.105286	+	0.289271i	0.00348445	+	0.00957346i
$914$	−34.1336	+	59.1212i	−1.12904	+	1.95555i
$915$	10.1987	+	33.5305i	0.337158	+	1.10848i
$916$	−28.6154	−	24.0112i	−0.945479	−	0.793351i
$917$	10.7406	−	18.6033i	0.354686	−	0.614334i
$918$	49.2348	−	8.68142i	1.62499	−	0.286529i
$919$		−	20.5177i		−	0.676815i	−0.941000	−	0.338408i	$-0.890112\pi$
$919$		−	20.5177i		−	0.676815i	0.941000	−	0.338408i	$-0.109888\pi$
$920$	−0.898607	+	16.6881i	−0.0296262	+	0.550190i
$921$	−7.17731	+	6.02248i	−0.236500	+	0.198447i
$922$	0.563461	−	1.54810i	0.0185566	−	0.0509838i
$923$	10.7570	−	3.91522i	0.354070	−	0.128871i
$924$	−1.23756			−0.0407129
$925$	26.0474	−	15.7014i	0.856432	−	0.516260i
$926$	−20.2625			−0.665867
$927$	1.29026	−	0.469618i	0.0423778	−	0.0154243i
$928$	−8.30652	+	22.8220i	−0.272675	+	0.749168i
$929$	3.64896	−	3.06184i	0.119719	−	0.100456i	−0.580963	−	0.813930i	$-0.697324\pi$
$929$	3.64896	−	3.06184i	0.119719	−	0.100456i	0.700682	+	0.713474i	$0.252879\pi$
$930$	1.15950	−	21.5331i	0.0380215	−	0.706099i
$931$			23.0178i			0.754379i
$932$	28.7390	−	5.06746i	0.941377	−	0.165990i
$933$	−0.512039	+	0.886878i	−0.0167634	+	0.0290351i
$934$	51.9804	+	43.6167i	1.70085	+	1.42718i
$935$	−0.611949	−	2.01192i	−0.0200129	−	0.0657968i
$936$	0.755932	−	1.30931i	0.0247084	−	0.0427962i
$937$	8.15535	+	22.4066i	0.266424	+	0.731993i	0.998699	+	0.0509848i	$0.0162360\pi$
$937$	8.15535	+	22.4066i	0.266424	+	0.731993i	−0.732276	+	0.681008i	$0.761542\pi$
$938$	16.9168	−	14.1949i	0.552352	−	0.463478i
$939$	−11.2374	+	6.48792i	−0.366719	+	0.211725i
$940$	−67.5796	−	28.8004i	−2.20420	−	0.939365i
$941$	−4.24043	+	24.0487i	−0.138234	+	0.783965i	0.834319	+	0.551283i	$0.185861\pi$
$941$	−4.24043	+	24.0487i	−0.138234	+	0.783965i	−0.972553	+	0.232683i	$0.925250\pi$
$942$	−61.0599	−	51.2353i	−1.98944	−	1.66934i
$943$	−6.16882	−	2.24527i	−0.200884	−	0.0731160i
$944$	0.760732	−	2.09009i	0.0247597	−	0.0680267i
$945$	7.32237	+	9.74619i	0.238197	+	0.317044i
$946$	−0.790408	+	4.48263i	−0.0256984	+	0.145743i
$947$	0.250030	−	1.41799i	0.00812489	−	0.0460785i	−0.980476	−	0.196640i	$-0.936997\pi$
$947$	0.250030	−	1.41799i	0.00812489	−	0.0460785i	0.988601	+	0.150561i	$0.0481081\pi$
$948$	4.31958	+	7.48174i	0.140294	+	0.242996i
$949$	0.924915	+	1.10227i	0.0300240	+	0.0357812i
$950$	−4.74068	+	43.8921i	−0.153808	+	1.42405i
$951$	20.0397	−	34.7098i	0.649831	−	1.12554i
$952$	−9.50657	+	5.48862i	−0.308110	+	0.177887i
$953$	−17.3566	+	20.6848i	−0.562237	+	0.670047i	−0.970018	−	0.243032i	$-0.921858\pi$
$953$	−17.3566	+	20.6848i	−0.562237	+	0.670047i	0.407782	+	0.913079i	$0.366302\pi$
$954$	−1.31449	−	0.758923i	−0.0425583	−	0.0245710i
$955$	17.5711	+	0.946157i	0.568589	+	0.0306169i
$956$		−	42.6322i		−	1.37882i
$957$	−0.245531	−	1.39248i	−0.00793690	−	0.0450124i
$958$	−8.63069	−	10.2857i	−0.278845	−	0.332314i
$959$	10.1805	+	3.70541i	0.328747	+	0.119654i
$960$	6.18972	+	51.0165i	0.199772	+	1.64655i
$961$	25.0713			0.808752
$962$	−10.2295	−	80.4533i	−0.329814	−	2.59392i
$963$		−	0.457991i		−	0.0147585i
$964$	10.6294	+	29.2040i	0.342350	+	0.940598i
$965$	−6.25313	−	4.07360i	−0.201295	−	0.131134i
$966$	10.3115	−	8.65234i	0.331766	−	0.278385i
$967$	10.1190	+	57.3879i	0.325406	+	1.84547i	0.506806	+	0.862060i	$0.330826\pi$
$967$	10.1190	+	57.3879i	0.325406	+	1.84547i	−0.181400	+	0.983409i	$0.558063\pi$
$968$	25.7591			0.827929
$969$	−5.25241	−	29.7879i	−0.168732	−	0.956926i
$970$	−55.4148	+	59.2543i	−1.77926	+	1.90254i
$971$	−29.8320	−	25.0320i	−0.957353	−	0.803315i	0.0231674	−	0.999732i	$-0.492625\pi$
$971$	−29.8320	−	25.0320i	−0.957353	−	0.803315i	−0.980520	+	0.196417i	$0.937069\pi$
$972$	2.96892	−	1.71411i	0.0952281	−	0.0549800i
$973$	2.41833	+	1.39622i	0.0775281	+	0.0447609i
$974$	63.0858	−	22.9614i	2.02140	−	0.735730i
$975$	12.5111	+	50.8000i	0.400675	+	1.62690i
$976$	−6.24071	+	3.60307i	−0.199760	+	0.115332i
$977$	−0.748992	+	4.24774i	−0.0239624	+	0.135897i	−0.994442	−	0.105286i	$-0.966424\pi$
$977$	−0.748992	+	4.24774i	−0.0239624	+	0.135897i	0.970480	+	0.241183i	$0.0775354\pi$
$978$	52.3262	+	9.22652i	1.67321	+	0.295031i
$979$	1.28697	−	1.53375i	0.0411317	−	0.0490188i
$980$	33.4313	+	21.7788i	1.06792	+	0.695699i
$981$	−0.510061	+	1.40138i	−0.0162850	+	0.0447427i
$982$	58.4215	+	49.0215i	1.86431	+	1.56434i
$983$	−35.7032	−	6.29543i	−1.13875	−	0.200793i	−0.427694	−	0.903924i	$-0.640674\pi$
$983$	−35.7032	−	6.29543i	−1.13875	−	0.200793i	−0.711061	+	0.703131i	$0.751785\pi$
$984$	8.43393	+	1.48713i	0.268864	+	0.0474080i
$985$	−26.5247	+	8.06779i	−0.845146	+	0.257061i
$986$	−23.4643	−	27.9637i	−0.747257	−	0.890546i
$987$	6.95278	+	19.1026i	0.221310	+	0.608043i
$988$	61.5488	+	35.5352i	1.95813	+	1.13052i
$989$	−14.9444	−	25.8844i	−0.475204	−	0.823077i
$990$	−0.0704188	−	0.0937286i	−0.00223806	−	0.00297889i
$991$	−3.80747	−	2.19825i	−0.120948	−	0.0698296i	0.438305	−	0.898826i	$-0.355579\pi$
$991$	−3.80747	−	2.19825i	−0.120948	−	0.0698296i	−0.559254	+	0.828997i	$0.688912\pi$
$992$	15.6446	−	2.75857i	0.496717	−	0.0875846i
$993$	−4.75978			−0.151047
$994$	−4.56317	+	0.804609i	−0.144735	+	0.0255207i
$995$	−22.1293	−	43.5857i	−0.701545	−	1.38176i
$996$	7.21227	+	2.62505i	0.228529	+	0.0831779i
$997$	−45.9168	+	16.7124i	−1.45420	+	0.529286i	−0.943761	−	0.330628i	$-0.892740\pi$
$997$	−45.9168	+	16.7124i	−1.45420	+	0.529286i	−0.510440	+	0.859914i	$0.670517\pi$
$998$		−	13.5330i		−	0.428378i
$999$	11.9941	−	28.5974i	0.379477	−	0.904783i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	185.2.v.a.104.15	yes	96
5.2	odd	4		925.2.bb.e.326.15		96
5.3	odd	4		925.2.bb.e.326.2		96
5.4	even	2	inner	185.2.v.a.104.2	✓	96
37.21	even	18	inner	185.2.v.a.169.2	yes	96
185.58	odd	36		925.2.bb.e.576.2		96
185.132	odd	36		925.2.bb.e.576.15		96
185.169	even	18	inner	185.2.v.a.169.15	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.v.a.104.2	✓	96	5.4	even	2	inner
185.2.v.a.104.15	yes	96	1.1	even	1	trivial
185.2.v.a.169.2	yes	96	37.21	even	18	inner
185.2.v.a.169.15	yes	96	185.169	even	18	inner
925.2.bb.e.326.2		96	5.3	odd	4
925.2.bb.e.326.15		96	5.2	odd	4
925.2.bb.e.576.2		96	185.58	odd	36
925.2.bb.e.576.15		96	185.132	odd	36

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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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Newspace parameters

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$q$ -expansion

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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	185.2.v.a.104.15

Level	$185$
Weight	$2$
Character	185.104
Analytic conductor	$1.477$
Analytic rank	$0$
Dimension	$96$
Inner twists	$4$