LMFDB - Embedded newform 334.2.c.b.107.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [334,2,Mod(3,334)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(334, base_ring=CyclotomicField(166))

chi = DirichletCharacter(H, H._module([94]))

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

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

chi := DirichletCharacter("334.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$334 = 2 \cdot 167$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	334.c (of order $83$ , degree $82$ , 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:	$2.66700342751$
Analytic rank:	$0$
Dimension:	$574$
Relative dimension:	$7$ over $\Q(\zeta_{83})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{83}]$

Embedding invariants

Embedding label			107.6
Character	$\chi$	$=$	334.107
Dual form			334.2.c.b.231.6

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.862854 - 0.505453i) q^{2} +(2.01599 + 0.629819i) q^{3} +(0.489034 + 0.872265i) q^{4} +(-0.529034 + 3.07589i) q^{5} +(-1.42116 - 1.56243i) q^{6} +(0.204665 + 0.614038i) q^{7} +(0.0189241 - 0.999821i) q^{8} +(1.20108 + 0.831633i) q^{9} +(2.01120 - 2.38664i) q^{10} +(-0.0568074 + 0.999482i) q^{11} +(0.436520 + 2.06648i) q^{12} +(-0.853048 - 0.231460i) q^{13} +(0.133772 - 0.633273i) q^{14} +(-3.00378 + 5.86777i) q^{15} +(-0.521692 + 0.853134i) q^{16} +(1.41912 + 3.38073i) q^{17} +(-0.616009 - 1.32467i) q^{18} +(-1.39474 - 0.680987i) q^{19} +(-2.94170 + 1.04276i) q^{20} +(0.0258701 + 1.36680i) q^{21} +(0.554208 - 0.833694i) q^{22} +(-0.464702 + 0.205495i) q^{23} +(0.667857 - 2.00371i) q^{24} +(-4.46853 - 1.58397i) q^{25} +(0.619064 + 0.630892i) q^{26} +(-1.99919 - 2.56328i) q^{27} +(-0.435515 + 0.478807i) q^{28} +(3.61167 + 1.59711i) q^{29} +(5.55771 - 3.54476i) q^{30} +(4.16491 - 1.65630i) q^{31} +(0.881363 - 0.472440i) q^{32} +(-0.744016 + 1.97917i) q^{33} +(0.484306 - 3.63437i) q^{34} +(-1.99699 + 0.304679i) q^{35} +(-0.138033 + 1.45436i) q^{36} +(7.96998 - 5.51843i) q^{37} +(0.859251 + 1.29257i) q^{38} +(-1.57396 - 1.00389i) q^{39} +(3.06533 + 0.587147i) q^{40} +(-1.57361 + 1.48671i) q^{41} +(0.668530 - 1.19242i) q^{42} +(-2.84109 - 2.30364i) q^{43} +(-0.899594 + 0.439230i) q^{44} +(-3.19342 + 3.25444i) q^{45} +(0.504839 + 0.0575729i) q^{46} +(5.87967 + 3.15170i) q^{47} +(-1.58905 + 1.39134i) q^{48} +(5.26502 - 3.94842i) q^{49} +(3.05506 + 3.62537i) q^{50} +(0.731688 + 7.70931i) q^{51} +(-0.215275 - 0.857275i) q^{52} +(1.82586 + 6.25813i) q^{53} +(0.429386 + 3.22223i) q^{54} +(-3.04424 - 0.703493i) q^{55} +(0.617801 - 0.193008i) q^{56} +(-2.38289 - 2.25130i) q^{57} +(-2.30908 - 3.20360i) q^{58} +(3.86987 - 9.21907i) q^{59} +(-6.58720 + 0.249448i) q^{60} +(-1.53849 + 6.12664i) q^{61} +(-4.43089 - 0.676019i) q^{62} +(-0.264834 + 0.907717i) q^{63} +(-0.999284 - 0.0378415i) q^{64} +(1.16324 - 2.50143i) q^{65} +(1.64236 - 1.33167i) q^{66} +(-0.861697 - 5.01005i) q^{67} +(-2.25489 + 2.89114i) q^{68} +(-1.06626 + 0.121599i) q^{69} +(1.87711 + 0.746489i) q^{70} +(5.58530 - 1.06984i) q^{71} +(0.854213 - 1.18513i) q^{72} +(-6.30714 - 10.3142i) q^{73} +(-9.66624 + 0.733145i) q^{74} +(-8.01090 - 6.00764i) q^{75} +(-0.0880750 - 1.54961i) q^{76} +(-0.625346 + 0.169677i) q^{77} +(0.850680 + 1.66177i) q^{78} +(-5.24253 - 0.397625i) q^{79} +(-2.34815 - 2.05600i) q^{80} +(-3.95812 - 10.5291i) q^{81} +(2.10926 - 0.487428i) q^{82} +(0.762422 - 0.446621i) q^{83} +(-1.17956 + 0.690976i) q^{84} +(-11.1495 + 2.57653i) q^{85} +(1.28707 + 3.42374i) q^{86} +(6.27521 + 5.49446i) q^{87} +(0.998228 + 0.0757116i) q^{88} +(-7.30669 - 14.2733i) q^{89} +(4.40042 - 1.19398i) q^{90} +(-0.0324638 - 0.571175i) q^{91} +(-0.406502 - 0.304849i) q^{92} +(9.43959 - 0.715955i) q^{93} +(-3.48026 - 5.69136i) q^{94} +(2.83251 - 3.92980i) q^{95} +(2.07437 - 0.397335i) q^{96} +(-10.7223 - 4.26407i) q^{97} +(-6.53869 + 0.745686i) q^{98} +(-0.899433 + 1.15322i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$574 q + 7 q^{2} + 2 q^{3} - 7 q^{4} - 2 q^{6} + 6 q^{7} + 7 q^{8} - 9 q^{9} - 6 q^{11} + 2 q^{12} + 2 q^{13} - 6 q^{14} - 4 q^{15} - 7 q^{16} - 8 q^{17} + 9 q^{18} - 6 q^{21} + 6 q^{22} + 2 q^{23} - 2 q^{24}+ \cdots - 32 q^{99}+O(q^{100})$ 574 * q + 7 * q^2 + 2 * q^3 - 7 * q^4 - 2 * q^6 + 6 * q^7 + 7 * q^8 - 9 * q^9 - 6 * q^11 + 2 * q^12 + 2 * q^13 - 6 * q^14 - 4 * q^15 - 7 * q^16 - 8 * q^17 + 9 * q^18 - 6 * q^21 + 6 * q^22 + 2 * q^23 - 2 * q^24 - 165 * q^25 - 2 * q^26 - 4 * q^27 + 6 * q^28 - 14 * q^29 + 4 * q^30 + 10 * q^31 + 7 * q^32 - 12 * q^33 + 8 * q^34 - 20 * q^35 - 9 * q^36 + 2 * q^37 - 83 * q^38 - 4 * q^39 - 20 * q^41 + 6 * q^42 - 2 * q^43 - 6 * q^44 + 2 * q^45 - 2 * q^46 + 14 * q^47 + 2 * q^48 - 171 * q^49 - q^50 - 417 * q^51 + 2 * q^52 - 4 * q^53 + 4 * q^54 + 18 * q^55 - 6 * q^56 - 6 * q^57 + 14 * q^58 - 2 * q^59 - 4 * q^60 + 16 * q^61 - 10 * q^62 + 40 * q^63 - 7 * q^64 - 4 * q^65 + 12 * q^66 + 20 * q^67 - 8 * q^68 + 16 * q^69 + 20 * q^70 - 4 * q^71 + 9 * q^72 + 22 * q^73 - 2 * q^74 - 533 * q^75 - 239 * q^77 + 4 * q^78 - 10 * q^79 + 17 * q^81 + 20 * q^82 - 14 * q^83 - 6 * q^84 + 6 * q^85 + 2 * q^86 + 10 * q^87 - 160 * q^88 - 16 * q^89 - 417 * q^90 + 10 * q^91 + 2 * q^92 + 10 * q^93 - 14 * q^94 - 38 * q^95 - 2 * q^96 - 8 * q^97 + 5 * q^98 - 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/334\mathbb{Z}\right)^\times$ .

$n$	$5$
$\chi(n)$	$e\left(\frac{46}{83}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	−0.862854	−	0.505453i	−0.610130	−	0.357409i
$2$	−0.862854	−	0.505453i	−0.610130	−	0.357409i
$3$	2.01599	+	0.629819i	1.16393	+	0.363626i	0.818327	−	0.574753i	$-0.194902\pi$
$3$	2.01599	+	0.629819i	1.16393	+	0.363626i	0.345607	+	0.938379i	$0.387673\pi$
$4$	0.489034	+	0.872265i	0.244517	+	0.436132i
$5$	−0.529034	+	3.07589i	−0.236591	+	1.37558i	0.587547	+	0.809190i	$0.300094\pi$
$5$	−0.529034	+	3.07589i	−0.236591	+	1.37558i	−0.824138	+	0.566389i	$0.808340\pi$
$6$	−1.42116	−	1.56243i	−0.580187	−	0.637860i
$7$	0.204665	+	0.614038i	0.0773560	+	0.232084i	0.980244	−	0.197791i	$-0.0633767\pi$
$7$	0.204665	+	0.614038i	0.0773560	+	0.232084i	−0.902888	+	0.429875i	$0.858557\pi$
$8$	0.0189241	−	0.999821i	0.00669069	−	0.353490i
$9$	1.20108	+	0.831633i	0.400361	+	0.277211i
$10$	2.01120	−	2.38664i	0.635996	−	0.754722i
$11$	−0.0568074	+	0.999482i	−0.0171281	+	0.301355i	0.978389	+	0.206773i	$0.0662961\pi$
$11$	−0.0568074	+	0.999482i	−0.0171281	+	0.301355i	−0.995517	+	0.0945823i	$0.969848\pi$
$12$	0.436520	+	2.06648i	0.126012	+	0.596542i
$13$	−0.853048	−	0.231460i	−0.236593	−	0.0641954i	0.141593	−	0.989925i	$-0.454777\pi$
$13$	−0.853048	−	0.231460i	−0.236593	−	0.0641954i	−0.378186	+	0.925729i	$0.623452\pi$
$14$	0.133772	−	0.633273i	0.0357520	−	0.169249i
$15$	−3.00378	+	5.86777i	−0.775573	+	1.51505i
$16$	−0.521692	+	0.853134i	−0.130423	+	0.213284i
$17$	1.41912	+	3.38073i	0.344187	+	0.819947i	0.997995	+	0.0632864i	$0.0201582\pi$
$17$	1.41912	+	3.38073i	0.344187	+	0.819947i	−0.653808	+	0.756660i	$0.726830\pi$
$18$	−0.616009	−	1.32467i	−0.145195	−	0.312228i
$19$	−1.39474	−	0.680987i	−0.319976	−	0.156229i	0.271751	−	0.962367i	$-0.412397\pi$
$19$	−1.39474	−	0.680987i	−0.319976	−	0.156229i	−0.591727	+	0.806138i	$0.701554\pi$
$20$	−2.94170	+	1.04276i	−0.657785	+	0.233167i
$21$	0.0258701	+	1.36680i	0.00564531	+	0.298260i
$22$	0.554208	−	0.833694i	0.118158	−	0.177744i
$23$	−0.464702	+	0.205495i	−0.0968971	+	0.0428487i	−0.452311	−	0.891860i	$-0.649400\pi$
$23$	−0.464702	+	0.205495i	−0.0968971	+	0.0428487i	0.355414	+	0.934709i	$0.384340\pi$
$24$	0.667857	−	2.00371i	0.136326	−	0.409006i
$25$	−4.46853	−	1.58397i	−0.893705	−	0.316795i
$26$	0.619064	+	0.630892i	0.121408	+	0.123728i
$27$	−1.99919	−	2.56328i	−0.384743	−	0.493304i
$28$	−0.435515	+	0.478807i	−0.0823047	+	0.0904861i
$29$	3.61167	+	1.59711i	0.670670	+	0.296576i	0.711599	−	0.702586i	$-0.247971\pi$
$29$	3.61167	+	1.59711i	0.670670	+	0.296576i	−0.0409285	+	0.999162i	$0.513032\pi$
$30$	5.55771	−	3.54476i	1.01469	−	0.647181i
$31$	4.16491	−	1.65630i	0.748040	−	0.297481i	0.0357446	−	0.999361i	$-0.488620\pi$
$31$	4.16491	−	1.65630i	0.748040	−	0.297481i	0.712295	+	0.701880i	$0.247656\pi$
$32$	0.881363	−	0.472440i	0.155804	−	0.0835163i
$33$	−0.744016	+	1.97917i	−0.129517	+	0.344529i
$34$	0.484306	−	3.63437i	0.0830579	−	0.623290i
$35$	−1.99699	+	0.304679i	−0.337552	+	0.0515002i
$36$	−0.138033	+	1.45436i	−0.0230055	+	0.242393i
$37$	7.96998	−	5.51843i	1.31026	−	0.907224i	0.311188	−	0.950348i	$-0.399273\pi$
$37$	7.96998	−	5.51843i	1.31026	−	0.907224i	0.999070	+	0.0431240i	$0.0137311\pi$
$38$	0.859251	+	1.29257i	0.139389	+	0.209682i
$39$	−1.57396	−	1.00389i	−0.252035	−	0.160751i
$40$	3.06533	+	0.587147i	0.484670	+	0.0928361i
$41$	−1.57361	+	1.48671i	−0.245756	+	0.232185i	−0.799746	−	0.600339i	$-0.795032\pi$
$41$	−1.57361	+	1.48671i	−0.245756	+	0.232185i	0.553989	+	0.832524i	$0.313105\pi$
$42$	0.668530	−	1.19242i	0.103156	−	0.183995i
$43$	−2.84109	−	2.30364i	−0.433262	−	0.351302i	0.388189	−	0.921580i	$-0.373101\pi$
$43$	−2.84109	−	2.30364i	−0.433262	−	0.351302i	−0.821452	+	0.570278i	$0.806836\pi$
$44$	−0.899594	+	0.439230i	−0.135619	+	0.0662164i
$45$	−3.19342	+	3.25444i	−0.476047	+	0.485143i
$46$	0.504839	+	0.0575729i	0.0744344	+	0.00848865i
$47$	5.87967	+	3.15170i	0.857639	+	0.459722i	0.841570	−	0.540148i	$-0.181632\pi$
$47$	5.87967	+	3.15170i	0.857639	+	0.459722i	0.0160688	+	0.999871i	$0.494885\pi$
$48$	−1.58905	+	1.39134i	−0.229359	+	0.200823i
$49$	5.26502	−	3.94842i	0.752146	−	0.564060i
$50$	3.05506	+	3.62537i	0.432051	+	0.512705i
$51$	0.731688	+	7.70931i	0.102457	+	1.07952i
$52$	−0.215275	−	0.857275i	−0.0298533	−	0.118883i
$53$	1.82586	+	6.25813i	0.250801	+	0.859620i	0.983782	+	0.179370i	$0.0574058\pi$
$53$	1.82586	+	6.25813i	0.250801	+	0.859620i	−0.732980	+	0.680250i	$0.761871\pi$
$54$	0.429386	+	3.22223i	0.0584320	+	0.438490i
$55$	−3.04424	−	0.703493i	−0.410486	−	0.0948590i
$56$	0.617801	−	0.193008i	0.0825571	−	0.0257918i
$57$	−2.38289	−	2.25130i	−0.315622	−	0.298192i
$58$	−2.30908	−	3.20360i	−0.303197	−	0.420654i
$59$	3.86987	−	9.21907i	0.503814	−	1.20022i	−0.448136	−	0.893965i	$-0.647912\pi$
$59$	3.86987	−	9.21907i	0.503814	−	1.20022i	0.951950	−	0.306255i	$-0.0990760\pi$
$60$	−6.58720	+	0.249448i	−0.850404	+	0.0322036i
$61$	−1.53849	+	6.12664i	−0.196984	+	0.784436i	0.788552	+	0.614968i	$0.210831\pi$
$61$	−1.53849	+	6.12664i	−0.196984	+	0.784436i	−0.985536	+	0.169467i	$0.945795\pi$
$62$	−4.43089	−	0.676019i	−0.562724	−	0.0858545i
$63$	−0.264834	+	0.907717i	−0.0333660	+	0.114362i
$64$	−0.999284	−	0.0378415i	−0.124910	−	0.00473018i
$65$	1.16324	−	2.50143i	0.144282	−	0.310264i
$66$	1.64236	−	1.33167i	0.202160	−	0.163917i
$67$	−0.861697	−	5.01005i	−0.105273	−	0.612075i	−0.989445	−	0.144912i	$-0.953710\pi$
$67$	−0.861697	−	5.01005i	−0.105273	−	0.612075i	0.884171	−	0.467163i	$-0.154724\pi$
$68$	−2.25489	+	2.89114i	−0.273446	+	0.350602i
$69$	−1.06626	+	0.121599i	−0.128363	+	0.0146388i
$70$	1.87711	+	0.746489i	0.224357	+	0.0892225i
$71$	5.58530	−	1.06984i	0.662853	−	0.126966i	0.154336	−	0.988018i	$-0.450676\pi$
$71$	5.58530	−	1.06984i	0.662853	−	0.126966i	0.508516	+	0.861052i	$0.330194\pi$
$72$	0.854213	−	1.18513i	0.100670	−	0.139669i
$73$	−6.30714	−	10.3142i	−0.738194	−	1.20719i	−0.972018	−	0.234907i	$-0.924521\pi$
$73$	−6.30714	−	10.3142i	−0.738194	−	1.20719i	0.233823	−	0.972279i	$-0.424876\pi$
$74$	−9.66624	+	0.733145i	−1.12368	+	0.0852264i
$75$	−8.01090	−	6.00764i	−0.925019	−	0.693703i
$76$	−0.0880750	−	1.54961i	−0.0101029	−	0.177752i
$77$	−0.625346	+	0.169677i	−0.0712648	+	0.0193365i
$78$	0.850680	+	1.66177i	0.0963205	+	0.188159i
$79$	−5.24253	−	0.397625i	−0.589831	−	0.0447363i	−0.222670	−	0.974894i	$-0.571477\pi$
$79$	−5.24253	−	0.397625i	−0.589831	−	0.0447363i	−0.367161	+	0.930157i	$0.619670\pi$
$80$	−2.34815	−	2.05600i	−0.262531	−	0.229868i
$81$	−3.95812	−	10.5291i	−0.439791	−	1.16990i
$82$	2.10926	−	0.487428i	0.232928	−	0.0538274i
$83$	0.762422	−	0.446621i	0.0836867	−	0.0490230i	−0.463015	−	0.886350i	$-0.653232\pi$
$83$	0.762422	−	0.446621i	0.0836867	−	0.0490230i	0.546702	+	0.837327i	$0.315883\pi$
$84$	−1.17956	+	0.690976i	−0.128700	+	0.0753916i
$85$	−11.1495	+	2.57653i	−1.20933	+	0.279464i
$86$	1.28707	+	3.42374i	0.138788	+	0.369192i
$87$	6.27521	+	5.49446i	0.672773	+	0.589068i
$88$	0.998228	+	0.0757116i	0.106411	+	0.00807088i
$89$	−7.30669	−	14.2733i	−0.774508	−	1.51297i	−0.856390	−	0.516330i	$-0.827298\pi$
$89$	−7.30669	−	14.2733i	−0.774508	−	1.51297i	0.0818819	−	0.996642i	$-0.473907\pi$
$90$	4.40042	−	1.19398i	0.463845	−	0.125856i
$91$	−0.0324638	−	0.571175i	−0.00340313	−	0.0598755i
$92$	−0.406502	−	0.304849i	−0.0423807	−	0.0317827i
$93$	9.43959	−	0.715955i	0.978840	−	0.0742411i
$94$	−3.48026	−	5.69136i	−0.358962	−	0.587018i
$95$	2.83251	−	3.92980i	0.290609	−	0.403189i
$96$	2.07437	−	0.397335i	0.211715	−	0.0405529i
$97$	−10.7223	−	4.26407i	−1.08869	−	0.432950i	−0.244858	−	0.969559i	$-0.578741\pi$
$97$	−10.7223	−	4.26407i	−1.08869	−	0.432950i	−0.843831	+	0.536609i	$0.819705\pi$
$98$	−6.53869	+	0.745686i	−0.660507	+	0.0753256i
$99$	−0.899433	+	1.15322i	−0.0903964	+	0.115903i
$100$	−0.803616	−	4.67236i	−0.0803616	−	0.467236i
$101$	−12.1684	+	9.86647i	−1.21080	+	0.981751i	−0.210807	+	0.977528i	$0.567609\pi$
$101$	−12.1684	+	9.86647i	−1.21080	+	0.981751i	−0.999991	+	0.00422307i	$0.998656\pi$
$102$	3.26535	−	7.02184i	0.323318	−	0.695266i
$103$	11.6687	+	0.441878i	1.14975	+	0.0435395i	0.605829	−	0.795595i	$-0.292842\pi$
$103$	11.6687	+	0.441878i	1.14975	+	0.0435395i	0.543924	+	0.839135i	$0.316938\pi$
$104$	−0.247562	+	0.848515i	−0.0242754	+	0.0832038i
$105$	−4.21780	−	0.643508i	−0.411615	−	0.0628000i
$106$	1.58774	−	6.32274i	0.154215	−	0.614118i
$107$	2.82231	−	0.106877i	0.272843	−	0.0103322i	0.0989342	−	0.995094i	$-0.468457\pi$
$107$	2.82231	−	0.106877i	0.272843	−	0.0103322i	0.173909	+	0.984762i	$0.444360\pi$
$108$	1.25819	−	2.99735i	0.121069	−	0.288420i
$109$	−5.66205	−	7.85551i	−0.542326	−	0.752421i	0.447564	−	0.894252i	$-0.352291\pi$
$109$	−5.66205	−	7.85551i	−0.542326	−	0.752421i	−0.989891	+	0.141831i	$0.954701\pi$
$110$	2.27115	+	2.14573i	0.216546	+	0.204588i
$111$	19.5430	−	6.10547i	1.85494	−	0.579505i
$112$	−0.630629	−	0.145732i	−0.0595888	−	0.0137704i
$113$	1.56507	+	11.7447i	0.147229	+	1.10485i	0.896645	+	0.442750i	$0.145997\pi$
$113$	1.56507	+	11.7447i	0.147229	+	1.10485i	−0.749416	+	0.662100i	$0.769666\pi$
$114$	0.918159	+	3.14698i	0.0859935	+	0.294742i
$115$	−0.386237	−	1.53809i	−0.0360168	−	0.143427i
$116$	0.373126	+	3.93137i	0.0346439	+	0.365019i
$117$	−0.832093	−	0.987426i	−0.0769270	−	0.0912875i
$118$	−7.99894	+	5.99867i	−0.736362	+	0.552223i
$119$	−1.78545	+	1.56331i	−0.163672	+	0.143308i
$120$	5.80988	+	3.11428i	0.530367	+	0.284294i
$121$	9.93342	+	1.13283i	0.903038	+	0.102984i
$122$	4.42423	−	4.50876i	0.400551	−	0.408204i
$123$	−4.10874	+	2.00611i	−0.370473	+	0.180885i
$124$	3.48152	+	2.82291i	0.312649	+	0.253505i
$125$	−0.395371	+	0.705203i	−0.0353630	+	0.0630752i
$126$	0.687322	−	0.649366i	0.0612315	−	0.0578501i
$127$	−7.77147	−	1.48859i	−0.689607	−	0.132091i	−0.168653	−	0.985676i	$-0.553942\pi$
$127$	−7.77147	−	1.48859i	−0.689607	−	0.132091i	−0.520954	+	0.853585i	$0.674424\pi$
$128$	0.843109	+	0.537743i	0.0745210	+	0.0475302i
$129$	−4.27674	−	6.43349i	−0.376546	−	0.566437i
$130$	−2.26806	+	1.57041i	−0.198922	+	0.137734i
$131$	−0.857672	+	9.03671i	−0.0749351	+	0.789541i	0.876441	+	0.481509i	$0.159911\pi$
$131$	−0.857672	+	9.03671i	−0.0749351	+	0.789541i	−0.951376	+	0.308032i	$0.900330\pi$
$132$	−2.09021	+	0.318902i	−0.181929	+	0.0277569i
$133$	0.132697	−	0.995799i	0.0115063	−	0.0863467i
$134$	−1.78883	+	4.75849i	−0.154531	+	0.411071i
$135$	8.94200	−	4.79321i	0.769605	−	0.412534i
$136$	3.40698	−	1.35489i	0.292146	−	0.116181i
$137$	−3.75440	+	2.39459i	−0.320760	+	0.204584i	−0.688304	−	0.725422i	$-0.741645\pi$
$137$	−3.75440	+	2.39459i	−0.320760	+	0.204584i	0.367544	+	0.930006i	$0.380199\pi$
$138$	0.981490	+	0.434023i	0.0835500	+	0.0369465i
$139$	−2.47845	+	2.72482i	−0.210220	+	0.231116i	−0.835787	−	0.549054i	$-0.814988\pi$
$139$	−2.47845	+	2.72482i	−0.210220	+	0.231116i	0.625567	+	0.780170i	$0.284868\pi$
$140$	−1.24235	−	1.59290i	−0.104998	−	0.134625i
$141$	9.86838	+	10.0569i	0.831067	+	0.846946i
$142$	−5.36005	−	1.90000i	−0.449805	−	0.159444i
$143$	0.279799	−	0.839458i	0.0233980	−	0.0701990i
$144$	−1.33609	+	0.590830i	−0.111341	+	0.0492359i
$145$	−6.82323	+	10.2642i	−0.566638	+	0.852393i
$146$	0.228789	+	12.0876i	0.0189347	+	1.00038i
$147$	13.1010	−	4.64397i	1.08056	−	0.383028i
$148$	8.71113	+	4.25324i	0.716050	+	0.349614i
$149$	3.08999	+	6.64474i	0.253142	+	0.544358i	0.991509	−	0.130041i	$-0.0415110\pi$
$149$	3.08999	+	6.64474i	0.253142	+	0.544358i	−0.738367	+	0.674400i	$0.764403\pi$
$150$	3.87565	+	9.23285i	0.316446	+	0.753859i
$151$	5.85008	−	9.56677i	0.476073	−	0.778533i	−0.521114	−	0.853487i	$-0.674483\pi$
$151$	5.85008	−	9.56677i	0.476073	−	0.778533i	0.997187	+	0.0749540i	$0.0238810\pi$
$152$	−0.707260	+	1.38161i	−0.0573663	+	0.112063i
$153$	−1.10704	+	5.24072i	−0.0894990	+	0.423687i
$154$	0.625346	+	0.169677i	0.0503918	+	0.0136730i
$155$	2.89122	+	13.6870i	0.232229	+	1.09937i
$156$	0.105935	−	1.86384i	0.00848159	−	0.149227i
$157$	−0.870850	+	1.03342i	−0.0695014	+	0.0824757i	−0.798329	−	0.602221i	$-0.794282\pi$
$157$	−0.870850	+	1.03342i	−0.0695014	+	0.0824757i	0.728828	+	0.684697i	$0.240066\pi$
$158$	4.32256	+	2.99295i	0.343884	+	0.238106i
$159$	−0.260562	+	13.7663i	−0.0206639	+	1.09174i
$160$	0.986900	+	2.96091i	0.0780213	+	0.234081i
$161$	−0.221290	−	0.243287i	−0.0174401	−	0.0191737i
$162$	−1.90667	+	11.0857i	−0.149802	+	0.870975i
$163$	9.39542	+	16.7581i	0.735906	+	1.31260i	0.942512	+	0.334174i	$0.108457\pi$
$163$	9.39542	+	16.7581i	0.735906	+	1.31260i	−0.206605	+	0.978424i	$0.566242\pi$
$164$	−2.06635	−	0.645552i	−0.161355	−	0.0504091i
$165$	−5.69409	−	3.33556i	−0.443285	−	0.259673i
$166$	−0.883605			−0.0685810
$167$	8.34726	−	9.86526i	0.645930	−	0.763397i
$167$	8.34726	−	9.86526i	0.645930	−	0.763397i
$168$	1.36704			0.105470
$169$	−10.5430	−	6.17600i	−0.810999	−	0.475077i
$170$	10.9227	+	3.41238i	0.837733	+	0.261717i
$171$	−1.10887	−	1.97784i	−0.0847975	−	0.151249i
$172$	0.619993	−	3.60474i	0.0472741	−	0.274859i
$173$	−0.309250	−	0.339991i	−0.0235119	−	0.0258490i	0.727890	−	0.685694i	$-0.240501\pi$
$173$	−0.309250	−	0.339991i	−0.0235119	−	0.0258490i	−0.751401	+	0.659845i	$0.770622\pi$
$174$	−2.63739	−	7.91274i	−0.199940	−	0.599864i
$175$	0.0580702	−	3.06803i	0.00438969	−	0.231921i
$176$	−0.823057	−	0.569886i	−0.0620402	−	0.0429568i
$177$	13.6080	−	16.1483i	1.02284	−	1.21378i
$178$	−0.909902	+	16.0090i	−0.0682000	+	1.19993i
$179$	−4.95108	−	23.4384i	−0.370061	−	1.75187i	−0.620950	−	0.783850i	$-0.713253\pi$
$179$	−4.95108	−	23.4384i	−0.370061	−	1.75187i	0.250889	−	0.968016i	$-0.419277\pi$
$180$	−4.40042	−	1.19398i	−0.327988	−	0.0889940i
$181$	−3.42432	+	16.2107i	−0.254528	+	1.20493i	0.643656	+	0.765315i	$0.277417\pi$
$181$	−3.42432	+	16.2107i	−0.254528	+	1.20493i	−0.898184	+	0.439619i	$0.855114\pi$
$182$	−0.260691	+	0.509250i	−0.0193237	+	0.0377481i
$183$	−6.96027	+	11.3823i	−0.514518	+	0.841403i
$184$	0.196664	+	0.468508i	0.0144983	+	0.0345389i
$185$	12.7577	+	27.4342i	0.937964	+	2.01700i
$186$	−8.50687	−	4.15351i	−0.623754	−	0.304550i
$187$	−3.45959	+	1.22633i	−0.252990	+	0.0896784i
$188$	0.126245	+	6.66992i	0.00920736	+	0.486454i
$189$	1.16479	−	1.75219i	0.0847259	−	0.127453i
$190$	−4.43037	+	1.95915i	−0.321413	+	0.142132i
$191$	1.97629	−	5.92928i	0.142999	−	0.429028i	−0.852620	−	0.522532i	$-0.824988\pi$
$191$	1.97629	−	5.92928i	0.142999	−	0.429028i	0.995619	+	0.0935041i	$0.0298068\pi$
$192$	−1.99071	−	0.705656i	−0.143667	−	0.0509263i
$193$	9.28867	+	9.46615i	0.668613	+	0.681388i	0.961514	−	0.274755i	$-0.0885966\pi$
$193$	9.28867	+	9.46615i	0.668613	+	0.681388i	−0.292901	+	0.956143i	$0.594621\pi$
$194$	7.09653	+	9.09891i	0.509501	+	0.653264i
$195$	3.92052	−	4.31024i	0.280754	−	0.308662i
$196$	6.01884	+	2.66158i	0.429917	+	0.190113i
$197$	−14.0014	+	8.93021i	−0.997557	+	0.636251i	−0.932326	−	0.361619i	$-0.882224\pi$
$197$	−14.0014	+	8.93021i	−0.997557	+	0.636251i	−0.0652306	+	0.997870i	$0.520778\pi$
$198$	1.35898	−	0.540439i	0.0965783	−	0.0384073i
$199$	18.0584	−	9.67990i	1.28013	−	0.686190i	0.315279	−	0.948999i	$-0.397902\pi$
$199$	18.0584	−	9.67990i	1.28013	−	0.686190i	0.964848	+	0.262809i	$0.0846490\pi$
$200$	−1.66825	+	4.43775i	−0.117963	+	0.313796i
$201$	1.41825	−	10.6429i	0.100036	−	0.750695i
$202$	15.4866	−	2.36278i	1.08963	−	0.166245i
$203$	−0.241505	+	2.54457i	−0.0169503	+	0.178594i
$204$	−6.36673	+	4.40834i	−0.445761	+	0.308645i
$205$	−3.74046	−	5.62676i	−0.261245	−	0.392990i
$206$	−9.84505	−	6.27927i	−0.685937	−	0.437497i
$207$	−0.729043	−	0.139645i	−0.0506720	−	0.00970596i
$208$	0.642494	−	0.607014i	0.0445490	−	0.0420888i
$209$	0.759867	−	1.35533i	0.0525611	−	0.0937505i
$210$	3.31408	+	2.68715i	0.228693	+	0.185431i
$211$	22.0922	−	10.7866i	1.52089	−	0.742580i	0.526684	−	0.850061i	$-0.323435\pi$
$211$	22.0922	−	10.7866i	1.52089	−	0.742580i	0.994207	+	0.107481i	$0.0342784\pi$
$212$	−4.56583	+	4.65307i	−0.313583	+	0.319574i
$213$	11.9337	+	1.36095i	0.817685	+	0.0932505i
$214$	−2.48926	−	1.33433i	−0.170162	−	0.0912126i
$215$	8.58877	−	7.52018i	0.585749	−	0.512872i
$216$	−2.60066	+	1.95032i	−0.176952	+	0.132702i
$217$	1.86944	+	2.21842i	0.126906	+	0.150596i
$218$	0.914935	+	9.64006i	0.0619672	+	0.652907i
$219$	−6.21905	−	24.7657i	−0.420245	−	1.67351i
$220$	−0.875106	−	2.99942i	−0.0589996	−	0.202221i
$221$	−0.428074	−	3.21239i	−0.0287954	−	0.216089i
$222$	−19.9488	−	4.60997i	−1.33888	−	0.309401i
$223$	9.46437	−	2.95678i	0.633781	−	0.198000i	0.0356062	−	0.999366i	$-0.488664\pi$
$223$	9.46437	−	2.95678i	0.633781	−	0.198000i	0.598175	+	0.801365i	$0.295893\pi$
$224$	0.470480	+	0.444498i	0.0314353	+	0.0296993i
$225$	−4.04979	−	5.61866i	−0.269986	−	0.374577i
$226$	4.58598	−	10.9250i	0.305055	−	0.726723i
$227$	−3.43192	+	0.129962i	−0.227785	+	0.00862589i	−0.151487	−	0.988459i	$-0.548406\pi$
$227$	−3.43192	+	0.129962i	−0.227785	+	0.00862589i	−0.0762975	+	0.997085i	$0.524310\pi$
$228$	0.798415	−	3.17947i	0.0528763	−	0.210566i
$229$	−14.3414	−	2.18806i	−0.947707	−	0.144591i	−0.341485	−	0.939887i	$-0.610930\pi$
$229$	−14.3414	−	2.18806i	−0.947707	−	0.144591i	−0.606221	+	0.795296i	$0.707315\pi$
$230$	−0.444164	+	1.52237i	−0.0292873	+	0.100382i
$231$	−1.36756	−	0.0517875i	−0.0899788	−	0.00340737i
$232$	1.66517	−	3.58080i	0.109324	−	0.235091i
$233$	5.88501	−	4.77174i	0.385540	−	0.312607i	−0.417337	−	0.908752i	$-0.637037\pi$
$233$	5.88501	−	4.77174i	0.385540	−	0.312607i	0.802877	+	0.596145i	$0.203302\pi$
$234$	0.218877	+	1.27259i	0.0143085	+	0.0831917i
$235$	−12.8048	+	16.4179i	−0.835294	+	1.07098i
$236$	9.93396	−	1.13289i	0.646646	−	0.0737449i
$237$	−10.3185	−	4.10346i	−0.670257	−	0.266548i
$238$	2.33076	−	0.446446i	0.151081	−	0.0289388i
$239$	4.31530	−	5.98703i	0.279134	−	0.387269i	−0.648221	−	0.761452i	$-0.724487\pi$
$239$	4.31530	−	5.98703i	0.279134	−	0.387269i	0.927355	+	0.374184i	$0.122077\pi$
$240$	−3.43895	−	5.62379i	−0.221983	−	0.363014i
$241$	−29.8385	+	2.26313i	−1.92207	+	0.145781i	−0.981201	−	0.192991i	$-0.938181\pi$
$241$	−29.8385	+	2.26313i	−1.92207	+	0.145781i	−0.940868	+	0.338772i	$0.889988\pi$
$242$	−7.99850	−	5.99835i	−0.514163	−	0.385588i
$243$	−0.794749	−	13.9830i	−0.0509832	−	0.897009i
$244$	−6.09643	+	1.65416i	−0.390284	+	0.105897i
$245$	9.35952	+	18.2835i	0.597958	+	1.16809i
$246$	4.55924	+	0.345800i	0.290686	+	0.0220474i
$247$	1.03216	+	0.903742i	0.0656748	+	0.0575037i
$248$	−1.57719	−	4.19551i	−0.100152	−	0.266415i
$249$	1.81833	−	0.420197i	0.115232	−	0.0266289i
$250$	0.697594	−	0.408645i	0.0441197	−	0.0258450i
$251$	−19.4631	+	11.4013i	−1.22850	+	0.719647i	−0.969230	−	0.246158i	$-0.920832\pi$
$251$	−19.4631	+	11.4013i	−1.22850	+	0.719647i	−0.259271	+	0.965805i	$0.583482\pi$
$252$	−0.921283	+	0.212899i	−0.0580353	+	0.0134114i
$253$	−0.178990	−	0.476135i	−0.0112530	−	0.0299344i
$254$	5.95324	+	5.21255i	0.373539	+	0.327064i
$255$	−24.1000	−	1.82789i	−1.50920	−	0.114467i
$256$	−0.455676	−	0.890146i	−0.0284797	−	0.0556341i
$257$	−14.0996	+	3.82568i	−0.879508	+	0.238639i	−0.672854	−	0.739775i	$-0.734932\pi$
$257$	−14.0996	+	3.82568i	−0.879508	+	0.238639i	−0.206653	+	0.978414i	$0.566257\pi$
$258$	0.438375	+	7.71286i	0.0272920	+	0.480182i
$259$	5.01970	+	3.76444i	0.311909	+	0.233911i
$260$	2.75077	−	0.208635i	0.170596	−	0.0129390i
$261$	3.00971	+	4.92185i	0.186296	+	0.304655i
$262$	5.30768	−	7.36385i	0.327910	−	0.454940i
$263$	−20.1395	+	3.85761i	−1.24185	+	0.237870i	−0.766684	−	0.642024i	$-0.778095\pi$
$263$	−20.1395	+	3.85761i	−1.24185	+	0.237870i	−0.475168	+	0.879895i	$0.657613\pi$
$264$	1.96474	+	0.781337i	0.120921	+	0.0480880i
$265$	−20.2152	+	2.30539i	−1.24181	+	0.141619i
$266$	−0.617828	+	0.792156i	−0.0378815	+	0.0485702i
$267$	−5.74061	−	33.3769i	−0.351320	−	2.04263i
$268$	3.94869	−	3.20171i	0.241205	−	0.195576i
$269$	0.835496	−	1.79666i	0.0509411	−	0.109544i	−0.879625	−	0.475667i	$-0.842207\pi$
$269$	0.835496	−	1.79666i	0.0509411	−	0.109544i	0.930566	+	0.366123i	$0.119315\pi$
$270$	−10.1384	−	0.383926i	−0.617002	−	0.0233650i
$271$	−3.09432	+	10.6057i	−0.187966	+	0.644253i	0.810334	+	0.585969i	$0.199286\pi$
$271$	−3.09432	+	10.6057i	−0.187966	+	0.644253i	−0.998300	+	0.0582841i	$0.981437\pi$
$272$	−3.62456	−	0.552997i	−0.219771	−	0.0335304i
$273$	0.294290	−	1.17193i	0.0178113	−	0.0709285i
$274$	4.44986	−	0.168510i	0.268826	−	0.0101801i
$275$	1.83700	−	4.37623i	0.110775	−	0.263897i
$276$	−0.627504	−	0.870596i	−0.0377713	−	0.0524037i
$277$	7.81525	+	7.38367i	0.469573	+	0.443642i	0.884727	−	0.466109i	$-0.154345\pi$
$277$	7.81525	+	7.38367i	0.469573	+	0.443642i	−0.415154	+	0.909751i	$0.636272\pi$
$278$	3.51581	−	1.09838i	0.210864	−	0.0658764i
$279$	6.37984	+	1.47432i	0.381951	+	0.0882650i
$280$	0.266834	+	2.00239i	0.0159464	+	0.119666i
$281$	−6.80717	−	23.3315i	−0.406082	−	1.39184i	−0.864289	−	0.502996i	$-0.832231\pi$
$281$	−6.80717	−	23.3315i	−0.406082	−	1.39184i	0.458207	−	0.888845i	$-0.348492\pi$
$282$	−3.43166	−	13.6657i	−0.204352	−	0.813778i
$283$	1.65823	+	17.4716i	0.0985715	+	1.03858i	0.898644	+	0.438678i	$0.144553\pi$
$283$	1.65823	+	17.4716i	0.0985715	+	1.03858i	−0.800073	+	0.599903i	$0.795206\pi$
$284$	3.66458	+	4.34867i	0.217453	+	0.258046i
$285$	8.18538	−	6.13849i	0.484860	−	0.363613i
$286$	−0.665733	+	0.582904i	−0.0393656	+	0.0344678i
$287$	−1.23496	−	0.661978i	−0.0728973	−	0.0390753i
$288$	1.45149	+	0.165531i	0.0855297	+	0.00975399i
$289$	2.49112	−	2.53872i	0.146536	−	0.149336i
$290$	11.0755	−	5.40765i	0.650376	−	0.317548i
$291$	−18.9306	−	15.3495i	−1.10973	−	0.899801i
$292$	5.91231	−	10.5455i	0.345992	−	0.617128i
$293$	5.86207	−	5.53835i	0.342466	−	0.323554i	−0.496192	−	0.868213i	$-0.665269\pi$
$293$	5.86207	−	5.53835i	0.342466	−	0.323554i	0.838657	+	0.544659i	$0.183341\pi$
$294$	−13.6516	−	2.61489i	−0.796177	−	0.152504i
$295$	26.3095	+	16.7805i	1.53180	+	0.976997i
$296$	−5.36662	−	8.07299i	−0.311928	−	0.469233i
$297$	2.67552	−	1.85254i	0.155250	−	0.107495i
$298$	0.692394	−	7.29529i	0.0401093	−	0.422605i
$299$	0.443977	−	0.0677374i	0.0256759	−	0.00391736i
$300$	1.32265	−	9.92557i	0.0763635	−	0.573053i
$301$	0.833050	−	2.21601i	0.0480162	−	0.127729i
$302$	−9.88332	+	5.29779i	−0.568721	+	0.304853i
$303$	−30.7454	+	12.2269i	−1.76628	+	0.702415i
$304$	1.30860	−	0.834637i	0.0750533	−	0.0478697i
$305$	−18.0309	−	7.97344i	−1.03245	−	0.456558i
$306$	3.60416	−	3.96242i	0.206036	−	0.226517i
$307$	7.60160	+	9.74650i	0.433846	+	0.556262i	0.954772	−	0.297340i	$-0.0960997\pi$
$307$	7.60160	+	9.74650i	0.433846	+	0.556262i	−0.520925	+	0.853602i	$0.674413\pi$
$308$	−0.453819	−	0.462490i	−0.0258587	−	0.0263528i
$309$	23.2457	+	8.24000i	1.32240	+	0.468757i
$310$	4.42345	−	13.2713i	0.251235	−	0.753758i
$311$	9.21631	−	4.07553i	0.522609	−	0.231102i	−0.126267	−	0.991996i	$-0.540300\pi$
$311$	9.21631	−	4.07553i	0.522609	−	0.231102i	0.648876	+	0.760894i	$0.275239\pi$
$312$	−1.03349	+	1.55468i	−0.0585100	+	0.0880165i
$313$	0.272545	+	14.3994i	0.0154052	+	0.813904i	0.920956	+	0.389666i	$0.127410\pi$
$313$	0.272545	+	14.3994i	0.0154052	+	0.813904i	−0.905551	+	0.424238i	$0.860542\pi$
$314$	1.27376	−	0.451514i	0.0718825	−	0.0254804i
$315$	−2.65193	−	1.29481i	−0.149419	−	0.0729545i
$316$	−2.21694	−	4.76733i	−0.124713	−	0.268183i
$317$	4.64025	+	11.0543i	0.260623	+	0.620874i	0.998540	−	0.0540174i	$-0.0172027\pi$
$317$	4.64025	+	11.0543i	0.260623	+	0.620874i	−0.737917	+	0.674891i	$0.764191\pi$
$318$	7.18304	−	11.7466i	0.402805	−	0.658717i
$319$	−1.80145	+	3.51907i	−0.100862	+	0.197030i
$320$	0.645051	−	3.05367i	0.0360594	−	0.170705i
$321$	5.75706	+	1.56208i	0.321328	+	0.0871868i
$322$	0.0679708	+	0.321773i	0.00378786	+	0.0179317i
$323$	0.322927	−	5.68164i	0.0179681	−	0.316135i
$324$	7.24848	−	8.60161i	0.402693	−	0.477867i
$325$	3.44524	+	2.38549i	0.191108	+	0.132323i
$326$	0.363574	−	19.2088i	0.0201365	−	1.06388i
$327$	−6.46711	−	19.4027i	−0.357632	−	1.07297i
$328$	1.45666	+	1.60146i	0.0804308	+	0.0884259i
$329$	−0.731900	+	4.25538i	−0.0403509	+	0.234607i
$330$	3.22720	+	5.75620i	0.177652	+	0.316868i
$331$	−5.89338	−	1.84116i	−0.323930	−	0.101199i	0.131909	−	0.991262i	$-0.457889\pi$
$331$	−5.89338	−	1.84116i	−0.323930	−	0.101199i	−0.455838	+	0.890063i	$0.650661\pi$
$332$	0.762422	+	0.446621i	0.0418433	+	0.0245115i
$333$	14.1619			0.776069
$334$	−12.1889	+	4.29313i	−0.666946	+	0.234910i
$335$	15.8662			0.866864
$336$	−1.17956	−	0.690976i	−0.0643501	−	0.0376958i
$337$	25.0651	+	7.83061i	1.36538	+	0.426560i	0.891097	−	0.453812i	$-0.149936\pi$
$337$	25.0651	+	7.83061i	1.36538	+	0.426560i	0.474283	+	0.880372i	$0.342707\pi$
$338$	5.97538	+	10.6580i	0.325018	+	0.579717i
$339$	−4.24188	+	24.6630i	−0.230387	+	1.33951i
$340$	−7.69990	−	8.46530i	−0.417586	−	0.459095i
$341$	1.41885	+	4.25684i	0.0768349	+	0.230521i
$342$	−0.0429099	+	2.26707i	−0.00232030	+	0.122589i
$343$	7.22702	+	5.00400i	0.390222	+	0.270191i
$344$	−2.35699	+	2.79699i	−0.127081	+	0.150804i
$345$	0.190064	−	3.34403i	0.0102327	−	0.180036i
$346$	0.0949883	+	0.449674i	0.00510660	+	0.0241746i
$347$	−18.8038	−	5.10210i	−1.00944	−	0.273895i	−0.281521	−	0.959555i	$-0.590839\pi$
$347$	−18.8038	−	5.10210i	−1.00944	−	0.273895i	−0.727922	+	0.685660i	$0.759514\pi$
$348$	−1.72384	+	8.16062i	−0.0924073	+	0.437455i
$349$	0.0720288	−	0.140706i	0.00385562	−	0.00753180i	−0.888210	−	0.459438i	$-0.848051\pi$
$349$	0.0720288	−	0.140706i	0.00385562	−	0.00753180i	0.892066	+	0.451906i	$0.149256\pi$
$350$	−1.60085	+	2.61791i	−0.0855691	+	0.139933i
$351$	1.11210	+	2.64933i	0.0593597	+	0.141411i
$352$	0.422127	+	0.907745i	0.0224994	+	0.0483830i
$353$	6.42748	+	3.13824i	0.342100	+	0.167032i	0.601777	−	0.798664i	$-0.294459\pi$
$353$	6.42748	+	3.13824i	0.342100	+	0.167032i	−0.259677	+	0.965696i	$0.583616\pi$
$354$	−19.9039	+	7.05540i	−1.05788	+	0.374990i
$355$	0.335883	+	17.7457i	0.0178268	+	0.941845i
$356$	8.87692	−	13.3535i	0.470476	−	0.707735i
$357$	−4.58405	+	2.02711i	−0.242614	+	0.107286i
$358$	−7.57494	+	22.7264i	−0.400348	+	1.20113i
$359$	6.54652	+	2.32057i	0.345512	+	0.122475i	0.501200	−	0.865331i	$-0.332892\pi$
$359$	6.54652	+	2.32057i	0.345512	+	0.122475i	−0.155688	+	0.987806i	$0.549759\pi$
$360$	3.19342	+	3.25444i	0.168308	+	0.171524i
$361$	−10.2034	−	13.0824i	−0.537022	−	0.688549i
$362$	11.1485	−	12.2567i	0.585950	−	0.644195i
$363$	19.3122	+	8.54003i	1.01363	+	0.448235i
$364$	0.482340	−	0.307641i	0.0252815	−	0.0161248i
$365$	35.0620	−	13.9435i	1.83523	−	0.729835i
$366$	11.7589	−	6.30316i	0.614648	−	0.329472i
$367$	−7.60570	+	20.2321i	−0.397014	+	1.05610i	0.574371	+	0.818595i	$0.305247\pi$
$367$	−7.60570	+	20.2321i	−0.397014	+	1.05610i	−0.971385	+	0.237509i	$0.923669\pi$
$368$	0.0671162	−	0.503659i	0.00349867	−	0.0262550i
$369$	−3.12643	+	0.476999i	−0.162756	+	0.0248316i
$370$	2.85869	−	30.1201i	0.148616	−	1.56587i
$371$	−3.46904	+	2.40197i	−0.180103	+	0.124704i
$372$	5.24078	+	7.88370i	0.271722	+	0.408751i
$373$	10.0535	+	6.41220i	0.520549	+	0.332011i	0.771752	−	0.635923i	$-0.219380\pi$
$373$	10.0535	+	6.41220i	0.520549	+	0.332011i	−0.251203	+	0.967934i	$0.580826\pi$
$374$	3.60498	+	0.690515i	0.186409	+	0.0357057i
$375$	−1.24121	+	1.17267i	−0.0640960	+	0.0605565i
$376$	3.26240	−	5.81898i	0.168246	−	0.300091i
$377$	−2.71126	−	2.19837i	−0.139637	−	0.113222i
$378$	−1.89069	+	0.923137i	−0.0972467	+	0.0474810i
$379$	14.3206	−	14.5942i	0.735601	−	0.749656i	−0.239625	−	0.970865i	$-0.577025\pi$
$379$	14.3206	−	14.5942i	0.735601	−	0.749656i	0.975226	+	0.221210i	$0.0710006\pi$
$380$	4.81302	+	0.548887i	0.246903	+	0.0281573i
$381$	−14.7297	−	7.89560i	−0.754625	−	0.404504i
$382$	−4.70222	+	4.11718i	−0.240587	+	0.210653i
$383$	−17.1002	+	12.8240i	−0.873779	+	0.655276i	−0.939495	−	0.342562i	$-0.888705\pi$
$383$	−17.1002	+	12.8240i	−0.873779	+	0.655276i	0.0657164	+	0.997838i	$0.479067\pi$
$384$	1.36102	+	1.61509i	0.0694543	+	0.0824198i
$385$	−0.191078	−	2.01326i	−0.00973823	−	0.102605i
$386$	−3.23007	−	12.8629i	−0.164406	−	0.654704i
$387$	−1.49661	−	5.12961i	−0.0760769	−	0.260753i
$388$	−1.52420	−	11.4380i	−0.0773794	−	0.580676i
$389$	−16.8490	−	3.89362i	−0.854277	−	0.197415i	−0.224772	−	0.974411i	$-0.572164\pi$
$389$	−16.8490	−	3.89362i	−0.854277	−	0.197415i	−0.629504	+	0.776997i	$0.716742\pi$
$390$	−5.56146	+	1.73746i	−0.281615	+	0.0879799i
$391$	−1.35419	−	1.27941i	−0.0684844	−	0.0647025i
$392$	−3.84808	−	5.33880i	−0.194357	−	0.269650i
$393$	−7.42055	+	17.6778i	−0.374317	+	0.891725i
$394$	16.5949	−	0.628427i	0.836041	−	0.0316597i
$395$	3.99653	−	15.9151i	0.201087	−	0.800775i
$396$	−1.44577	−	0.220580i	−0.0726525	−	0.0110846i
$397$	2.60469	−	8.92757i	0.130726	−	0.448062i	−0.868106	−	0.496379i	$-0.834663\pi$
$397$	2.60469	−	8.92757i	0.130726	−	0.448062i	0.998832	+	0.0483168i	$0.0153857\pi$
$398$	−20.4745	−	0.775341i	−1.02629	−	0.0388643i
$399$	0.894690	−	1.92395i	0.0447905	−	0.0963178i
$400$	3.68254	−	2.98591i	0.184127	−	0.149295i
$401$	5.95698	+	34.6348i	0.297477	+	1.72958i	0.621396	+	0.783496i	$0.286566\pi$
$401$	5.95698	+	34.6348i	0.297477	+	1.72958i	−0.323919	+	0.946085i	$0.605001\pi$
$402$	−6.60325	+	8.46644i	−0.329340	+	0.422268i
$403$	−3.93623	+	0.448896i	−0.196078	+	0.0223611i
$404$	−14.5569	−	5.78900i	−0.724234	−	0.288014i
$405$	34.4802	−	6.60451i	1.71334	−	0.328181i
$406$	1.49455	−	2.07353i	0.0741731	−	0.102907i
$407$	5.06282	+	8.27935i	0.250955	+	0.410392i
$408$	7.72177	−	0.585665i	0.382285	−	0.0289947i
$409$	−23.2749	−	17.4547i	−1.15087	−	0.863078i	−0.158622	−	0.987339i	$-0.550705\pi$
$409$	−23.2749	−	17.4547i	−1.15087	−	0.863078i	−0.992250	+	0.124262i	$0.960344\pi$
$410$	0.383405	+	6.74570i	0.0189350	+	0.333147i
$411$	−9.07701	+	2.46289i	−0.447736	+	0.121485i
$412$	5.32096	+	10.3943i	0.262145	+	0.512090i
$413$	6.45288	+	0.489425i	0.317526	+	0.0240830i
$414$	0.558474	+	0.488990i	0.0274475	+	0.0240326i
$415$	0.970409	+	2.58140i	0.0476355	+	0.126716i
$416$	−0.861196	+	0.199013i	−0.0422236	+	0.00975744i
$417$	−6.71269	+	3.93224i	−0.328722	+	0.192563i
$418$	−1.34071	+	0.785379i	−0.0655764	+	0.0384141i
$419$	−16.3767	+	3.78449i	−0.800055	+	0.184884i	−0.605331	−	0.795974i	$-0.706959\pi$
$419$	−16.3767	+	3.78449i	−0.800055	+	0.184884i	−0.194724	+	0.980858i	$0.562381\pi$
$420$	−1.50134	−	3.99374i	−0.0732578	−	0.194874i
$421$	13.6598	+	11.9603i	0.665738	+	0.582908i	0.923639	−	0.383263i	$-0.125200\pi$
$421$	13.6598	+	11.9603i	0.665738	+	0.582908i	−0.257901	+	0.966171i	$0.583031\pi$
$422$	−24.5145	−	1.85932i	−1.19335	−	0.0905105i
$423$	4.44093	+	8.67518i	0.215925	+	0.421802i
$424$	6.29156	−	1.70711i	0.305545	−	0.0829044i
$425$	−0.986388	−	17.3547i	−0.0478468	−	0.841827i
$426$	−9.60916	−	7.20623i	−0.465565	−	0.349143i
$427$	−4.07686	+	0.309214i	−0.197293	+	0.0149639i
$428$	1.47343	+	2.40953i	0.0712209	+	0.116469i
$429$	1.09278	−	1.51612i	0.0527599	−	0.0731988i
$430$	−11.2120	+	2.14759i	−0.540688	+	0.103566i
$431$	−24.4863	−	9.73774i	−1.17947	−	0.469050i	−0.304160	−	0.952621i	$-0.598376\pi$
$431$	−24.4863	−	9.73774i	−1.17947	−	0.469050i	−0.875305	+	0.483571i	$0.839340\pi$
$432$	3.22978	−	0.368331i	0.155393	−	0.0177213i
$433$	−6.47749	+	8.30520i	−0.311288	+	0.399123i	−0.918502	−	0.395416i	$-0.870600\pi$
$433$	−6.47749	+	8.30520i	−0.311288	+	0.399123i	0.607214	+	0.794539i	$0.292287\pi$
$434$	−0.491746	−	2.85909i	−0.0236046	−	0.137241i
$435$	−20.2201	+	16.3951i	−0.969482	+	0.786084i
$436$	4.08314	−	8.78042i	0.195547	−	0.420506i
$437$	0.788080	+	0.0298435i	0.0376990	+	0.00142761i
$438$	−7.15177	+	24.5126i	−0.341725	+	1.17126i
$439$	−33.3497	−	5.08816i	−1.59170	−	0.242844i	−0.706379	−	0.707833i	$-0.749673\pi$
$439$	−33.3497	−	5.08816i	−1.59170	−	0.242844i	−0.885316	+	0.464989i	$0.846058\pi$
$440$	−0.760977	+	3.03038i	−0.0362781	+	0.144468i
$441$	9.60737	−	0.363818i	0.457494	−	0.0173247i
$442$	−1.25435	+	2.98820i	−0.0596632	+	0.142134i
$443$	13.6354	+	18.9176i	0.647836	+	0.898804i	0.999300	−	0.0373968i	$-0.0119065\pi$
$443$	13.6354	+	18.9176i	0.647836	+	0.898804i	−0.351464	+	0.936201i	$0.614316\pi$
$444$	14.8828	+	14.0609i	0.706306	+	0.667302i
$445$	47.7687	−	14.9235i	2.26445	−	0.707441i
$446$	−9.66089	−	2.23253i	−0.457456	−	0.105713i
$447$	2.04442	+	15.3419i	0.0966976	+	0.725646i
$448$	−0.181282	−	0.621343i	−0.00856478	−	0.0293557i
$449$	−8.83269	−	35.1738i	−0.416840	−	1.65995i	−0.710236	−	0.703963i	$-0.751412\pi$
$449$	−8.83269	−	35.1738i	−0.416840	−	1.65995i	0.293396	−	0.955991i	$-0.405215\pi$
$450$	0.654409	+	6.89507i	0.0308491	+	0.325036i
$451$	−1.39655	−	1.65725i	−0.0657608	−	0.0780369i
$452$	−9.47913	+	7.10872i	−0.445861	+	0.334366i
$453$	17.8191	−	15.6020i	0.837212	−	0.733048i
$454$	3.02694	+	1.62254i	0.142061	+	0.0761495i
$455$	1.77405	+	0.202316i	0.0831686	+	0.00948472i
$456$	−2.29599	+	2.33986i	−0.107520	+	0.109574i
$457$	−8.52748	+	4.16357i	−0.398899	+	0.194764i	−0.627255	−	0.778814i	$-0.715822\pi$
$457$	−8.52748	+	4.16357i	−0.398899	+	0.194764i	0.228356	+	0.973578i	$0.426665\pi$
$458$	11.2686	+	9.13689i	0.526546	+	0.426939i
$459$	5.82867	−	10.3963i	0.272059	−	0.485258i
$460$	1.15274	−	1.08908i	0.0537465	−	0.0507785i
$461$	−40.1296	−	7.68661i	−1.86902	−	0.358001i	−0.876633	−	0.481160i	$-0.840216\pi$
$461$	−40.1296	−	7.68661i	−1.86902	−	0.358001i	−0.992387	+	0.123159i	$0.960698\pi$
$462$	1.15383	+	0.735922i	0.0536809	+	0.0342382i
$463$	−20.0329	−	30.1354i	−0.931008	−	1.40051i	−0.916244	−	0.400622i	$-0.868794\pi$
$463$	−20.0329	−	30.1354i	−0.931008	−	1.40051i	−0.0147644	−	0.999891i	$-0.504700\pi$
$464$	−3.24673	+	2.24804i	−0.150726	+	0.104363i
$465$	−2.79166	+	29.4139i	−0.129460	+	1.36404i
$466$	−7.48979	+	1.14271i	−0.346958	+	0.0529352i
$467$	−0.185242	+	1.39011i	−0.00857197	+	0.0643265i	−0.995002	−	0.0998568i	$-0.968162\pi$
$467$	−0.185242	+	1.39011i	−0.00857197	+	0.0643265i	0.986430	+	0.164183i	$0.0524989\pi$
$468$	0.454375	−	1.20869i	0.0210035	−	0.0558717i
$469$	2.90000	−	1.55450i	0.133910	−	0.0717799i
$470$	19.3471	−	7.69398i	0.892417	−	0.354897i
$471$	−2.40649	+	1.53488i	−0.110885	+	0.0707237i
$472$	−9.14418	−	4.04364i	−0.420895	−	0.186123i
$473$	2.46384	−	2.70876i	0.113288	−	0.124549i
$474$	6.82923	+	8.75619i	0.313677	+	0.402185i
$475$	5.15378	+	5.25225i	0.236471	+	0.240990i
$476$	−2.23676	−	0.792874i	−0.102522	−	0.0363413i
$477$	−3.01145	+	9.03498i	−0.137885	+	0.413683i
$478$	−6.74964	+	2.98475i	−0.308721	+	0.136519i
$479$	14.4323	−	21.7105i	0.659429	−	0.991977i	−0.339255	−	0.940694i	$-0.610175\pi$
$479$	14.4323	−	21.7105i	0.659429	−	0.991977i	0.998684	−	0.0512827i	$-0.0163310\pi$
$480$	0.124746	+	6.59074i	0.00569387	+	0.300825i
$481$	−8.07607	+	2.86276i	−0.368237	+	0.130530i
$482$	26.8902	+	13.1292i	1.22482	+	0.598020i
$483$	−0.292892	−	0.629838i	−0.0133271	−	0.0286586i
$484$	3.86965	+	9.21857i	0.175893	+	0.419026i
$485$	18.7883	−	30.7249i	0.853132	−	1.39515i
$486$	−6.38200	+	12.4670i	−0.289493	+	0.565514i
$487$	−6.15068	+	29.1172i	−0.278714	+	1.31943i	0.583181	+	0.812342i	$0.301808\pi$
$487$	−6.15068	+	29.1172i	−0.278714	+	1.31943i	−0.861895	+	0.507087i	$0.830722\pi$
$488$	6.09643	+	1.65416i	0.275972	+	0.0748803i
$489$	8.38651	+	39.7017i	0.379251	+	1.79537i
$490$	1.16554	−	20.5068i	0.0526537	−	0.926401i
$491$	22.6286	−	26.8529i	1.02122	−	1.21185i	0.0441269	−	0.999026i	$-0.485949\pi$
$491$	22.6286	−	26.8529i	1.02122	−	1.21185i	0.977090	−	0.212828i	$-0.0682674\pi$
$492$	−3.75917	−	2.60286i	−0.169476	−	0.117346i
$493$	−0.274005	+	14.4766i	−0.0123406	+	0.651992i
$494$	−0.433805	−	1.30151i	−0.0195178	−	0.0585575i
$495$	−3.07134	−	3.37665i	−0.138047	−	0.151769i
$496$	−0.759749	+	4.41730i	−0.0341137	+	0.198343i
$497$	1.80003	+	3.21063i	0.0807425	+	0.144016i
$498$	−1.78134	−	0.556511i	−0.0798238	−	0.0249378i
$499$	26.0974	+	15.2877i	1.16828	+	0.684370i	0.956152	−	0.292871i	$-0.0946108\pi$
$499$	26.0974	+	15.2877i	1.16828	+	0.684370i	0.212129	+	0.977242i	$0.431960\pi$
$500$	−0.808473			−0.0361560
$501$	23.0413	−	14.6310i	1.02941	−	0.653666i
$502$	22.5567			1.00675
$503$	16.2315	+	9.50828i	0.723726	+	0.423953i	0.820719	−	0.571332i	$-0.193573\pi$
$503$	16.2315	+	9.50828i	0.723726	+	0.423953i	−0.0969930	+	0.995285i	$0.530922\pi$
$504$	0.902543	+	0.281965i	0.0402025	+	0.0125597i
$505$	−23.9107	−	42.6482i	−1.06401	−	1.89782i
$506$	−0.0862216	+	0.501307i	−0.00383302	+	0.0222858i
$507$	−17.3648	−	19.0909i	−0.771198	−	0.847858i
$508$	−2.50207	−	7.50675i	−0.111012	−	0.333058i
$509$	0.411094	−	21.7194i	0.0182214	−	0.962695i	−0.867215	−	0.497934i	$-0.834092\pi$
$509$	0.411094	−	21.7194i	0.0182214	−	0.962695i	0.885436	−	0.464761i	$-0.153860\pi$
$510$	19.8709	+	13.7586i	0.879898	+	0.609243i
$511$	5.04246	−	5.98377i	0.223065	−	0.264707i
$512$	−0.0567453	+	0.998389i	−0.00250781	+	0.0441230i
$513$	1.04279	+	4.93654i	0.0460401	+	0.217953i
$514$	14.0996	+	3.82568i	0.621906	+	0.168743i
$515$	−7.53231	+	35.6579i	−0.331913	+	1.57127i
$516$	3.52024	−	6.87665i	0.154970	−	0.302728i
$517$	−3.48408	+	5.69759i	−0.153229	+	0.250580i
$518$	−2.42852	−	5.78539i	−0.106703	−	0.254195i
$519$	−0.409313	−	0.880190i	−0.0179669	−	0.0386361i
$520$	−2.47897	−	1.21036i	−0.108710	−	0.0530780i
$521$	12.3943	−	4.39347i	0.543006	−	0.192481i	−0.0484397	−	0.998826i	$-0.515425\pi$
$521$	12.3943	−	4.39347i	0.543006	−	0.192481i	0.591446	+	0.806345i	$0.298557\pi$
$522$	−0.109176	−	5.76811i	−0.00477850	−	0.252463i
$523$	−19.5618	+	29.4267i	−0.855376	+	1.28674i	0.101085	+	0.994878i	$0.467769\pi$
$523$	−19.5618	+	29.4267i	−0.855376	+	1.28674i	−0.956461	+	0.291862i	$0.905725\pi$
$524$	−8.30183	+	3.67114i	−0.362667	+	0.160375i
$525$	2.04937	−	6.14855i	0.0894419	−	0.268345i
$526$	19.3273	+	6.85100i	0.842709	+	0.298718i
$527$	11.5100	+	11.7299i	0.501384	+	0.510963i
$528$	−1.30035	−	1.66726i	−0.0565905	−	0.0725582i
$529$	−15.3023	+	16.8235i	−0.665319	+	0.731455i
$530$	18.6081	+	8.22864i	0.808282	+	0.357429i
$531$	12.3149	−	7.85457i	0.534422	−	0.340859i
$532$	0.933493	−	0.371232i	0.0404721	−	0.0160950i
$533$	1.68648	−	0.904007i	0.0730495	−	0.0391569i
$534$	−11.9171	+	31.7010i	−0.515705	+	1.37183i
$535$	−1.16435	+	8.73764i	−0.0503394	+	0.377761i
$536$	−5.02546	+	0.766732i	−0.217067	+	0.0331178i
$537$	4.78059	−	50.3699i	0.206298	−	2.17362i
$538$	−1.62904	+	1.12795i	−0.0702328	+	0.0486293i
$539$	3.64728	+	5.48660i	0.157100	+	0.236324i
$540$	8.55389	+	5.45575i	0.368101	+	0.234778i
$541$	−18.9649	−	3.63264i	−0.815366	−	0.156179i	−0.236531	−	0.971624i	$-0.576011\pi$
$541$	−18.9649	−	3.63264i	−0.815366	−	0.156179i	−0.578835	+	0.815445i	$0.696492\pi$
$542$	8.03065	−	7.58717i	0.344946	−	0.325897i
$543$	−17.1132	+	30.5240i	−0.734399	+	1.30991i
$544$	2.84795	+	2.30920i	0.122105	+	0.0990061i
$545$	27.1581	−	13.2600i	1.16332	−	0.567997i
$546$	−0.846286	+	0.862456i	−0.0362177	+	0.0369097i
$547$	19.3412	+	2.20571i	0.826970	+	0.0943094i	0.516514	−	0.856278i	$-0.327229\pi$
$547$	19.3412	+	2.20571i	0.826970	+	0.0943094i	0.310456	+	0.950588i	$0.399518\pi$
$548$	−3.92475	−	2.10380i	−0.167657	−	0.0898697i
$549$	−6.94298	+	6.07915i	−0.296319	+	0.259452i
$550$	−3.79704	+	2.84753i	−0.161906	+	0.121419i
$551$	−3.94974	−	4.68706i	−0.168264	−	0.199676i
$552$	0.101399	+	1.06837i	0.00431582	+	0.0454729i
$553$	−0.828805	−	3.30049i	−0.0352444	−	0.140351i
$554$	−3.01132	−	10.3213i	−0.127939	−	0.438509i
$555$	8.44081	+	63.3422i	0.358292	+	2.68873i
$556$	−3.58881	−	0.829338i	−0.152200	−	0.0351718i
$557$	2.27766	−	0.711566i	0.0965075	−	0.0301500i	−0.249563	−	0.968359i	$-0.580287\pi$
$557$	2.27766	−	0.711566i	0.0965075	−	0.0301500i	0.346070	+	0.938209i	$0.387516\pi$
$558$	−4.75967	−	4.49683i	−0.201493	−	0.190366i
$559$	1.89039	+	2.62271i	0.0799549	+	0.110929i
$560$	0.781878	−	1.86265i	0.0330404	−	0.0787111i
$561$	−7.74688	+	0.293363i	−0.327073	+	0.0123858i
$562$	−5.91939	+	23.5724i	−0.249695	+	0.994341i
$563$	−27.1888	−	4.14819i	−1.14587	−	0.174825i	−0.450026	−	0.893016i	$-0.648585\pi$
$563$	−27.1888	−	4.14819i	−1.14587	−	0.174825i	−0.695847	+	0.718190i	$0.744971\pi$
$564$	−3.94633	+	13.5260i	−0.166171	+	0.569548i
$565$	−36.9534	−	1.39937i	−1.55464	−	0.0588721i
$566$	7.40029	−	15.9136i	0.311057	−	0.668900i
$567$	5.65516	−	4.58537i	0.237494	−	0.192567i
$568$	−0.963947	−	5.60454i	−0.0404463	−	0.235161i
$569$	10.5275	−	13.4980i	0.441337	−	0.565867i	−0.515351	−	0.856979i	$-0.672339\pi$
$569$	10.5275	−	13.4980i	0.441337	−	0.565867i	0.956689	+	0.291112i	$0.0940254\pi$
$570$	−10.1655	+	1.15930i	−0.425786	+	0.0485575i
$571$	−34.8516	−	13.8598i	−1.45850	−	0.580015i	−0.500229	−	0.865893i	$-0.666751\pi$
$571$	−34.8516	−	13.8598i	−1.45850	−	0.580015i	−0.958266	+	0.285878i	$0.907715\pi$
$572$	0.869061	−	0.166464i	0.0363373	−	0.00696022i
$573$	7.71855	−	10.7087i	0.322447	−	0.447362i
$574$	0.730990	+	1.19540i	0.0305109	+	0.0498952i
$575$	2.40203	−	0.182185i	0.100172	−	0.00759762i
$576$	−1.16875	−	0.876488i	−0.0486981	−	0.0365203i
$577$	1.10250	+	19.3976i	0.0458976	+	0.807533i	0.936049	+	0.351869i	$0.114454\pi$
$577$	1.10250	+	19.3976i	0.0458976	+	0.807533i	−0.890152	+	0.455664i	$0.849402\pi$
$578$	−3.43268	+	0.931397i	−0.142780	+	0.0387410i
$579$	12.7639	+	24.9339i	0.530451	+	1.03622i
$580$	−12.2899	−	0.932137i	−0.510309	−	0.0387049i
$581$	0.430283	+	0.376748i	0.0178511	+	0.0156302i
$582$	8.57589	+	22.8129i	0.355482	+	0.945624i
$583$	−6.35861	+	1.46941i	−0.263347	+	0.0608567i
$584$	−10.4317	+	6.11082i	−0.431667	+	0.252867i
$585$	3.47742	−	2.03704i	0.143773	−	0.0842214i
$586$	−7.85749	+	1.81578i	−0.324590	+	0.0750093i
$587$	3.93724	+	10.4735i	0.162507	+	0.432289i	0.992001	−	0.126227i	$-0.0402867\pi$
$587$	3.93724	+	10.4735i	0.162507	+	0.432289i	−0.829494	+	0.558516i	$0.811371\pi$
$588$	10.4576	+	9.15651i	0.431265	+	0.377608i
$589$	−6.93689	−	0.526135i	−0.285830	−	0.0216790i
$590$	−14.2195	−	27.7773i	−0.585409	−	1.14357i
$591$	−33.8511	+	9.18490i	−1.39245	+	0.377816i
$592$	0.550089	+	9.67839i	0.0226085	+	0.397779i
$593$	2.18154	+	1.63601i	0.0895851	+	0.0671829i	0.643818	−	0.765179i	$-0.277350\pi$
$593$	2.18154	+	1.63601i	0.0895851	+	0.0671829i	−0.554232	+	0.832362i	$0.686988\pi$
$594$	−3.24496	+	0.246117i	−0.133142	+	0.0100983i
$595$	−3.86400	−	6.31889i	−0.158408	−	0.259049i
$596$	−4.28486	+	5.94479i	−0.175515	+	0.243508i
$597$	42.5022	−	8.14108i	1.73950	−	0.333192i
$598$	−0.417326	−	0.165962i	−0.0170657	−	0.00678670i
$599$	−8.70681	+	0.992943i	−0.355751	+	0.0405706i	−0.289352	−	0.957223i	$-0.593440\pi$
$599$	−8.70681	+	0.992943i	−0.355751	+	0.0405706i	−0.0663983	+	0.997793i	$0.521151\pi$
$600$	−6.15817	+	7.89577i	−0.251406	+	0.322344i
$601$	−1.92937	−	11.2177i	−0.0787008	−	0.457579i	−0.997955	−	0.0639156i	$-0.979641\pi$
$601$	−1.92937	−	11.2177i	−0.0787008	−	0.457579i	0.919255	−	0.393664i	$-0.128793\pi$
$602$	−1.83889	+	1.49103i	−0.0749476	+	0.0607697i
$603$	3.13155	−	6.73411i	0.127527	−	0.274234i
$604$	11.2056	+	0.424342i	0.455951	+	0.0172662i
$605$	−8.73957	+	29.9548i	−0.355314	+	1.21784i
$606$	32.7089	+	4.99039i	1.32871	+	0.202721i
$607$	−2.17440	+	8.65895i	−0.0882561	+	0.351456i	−0.997963	−	0.0637948i	$-0.979680\pi$
$607$	−2.17440	+	8.65895i	−0.0882561	+	0.351456i	0.909707	+	0.415251i	$0.136306\pi$
$608$	−1.55100	+	0.0587342i	−0.0629013	+	0.00238199i
$609$	−2.08949	+	4.97774i	−0.0846705	+	0.201708i
$610$	11.5279	+	15.9937i	0.466750	+	0.647566i
$611$	−4.28615	−	4.04946i	−0.173399	−	0.163824i
$612$	−5.11268	+	1.59726i	−0.206668	+	0.0645654i
$613$	20.3808	+	4.70979i	0.823172	+	0.190227i	0.615666	−	0.788007i	$-0.288887\pi$
$613$	20.3808	+	4.70979i	0.823172	+	0.190227i	0.207506	+	0.978234i	$0.433465\pi$
$614$	−1.63268	−	12.2521i	−0.0658894	−	0.494453i
$615$	−3.99690	−	13.6993i	−0.161170	−	0.552410i
$616$	0.157812	+	0.628445i	0.00635844	+	0.0253208i
$617$	−3.19858	−	33.7013i	−0.128770	−	1.35676i	−0.792994	−	0.609229i	$-0.791479\pi$
$617$	−3.19858	−	33.7013i	−0.128770	−	1.35676i	0.664224	−	0.747533i	$-0.268762\pi$
$618$	−15.8927	−	18.8595i	−0.639300	−	0.758642i
$619$	2.48492	−	1.86353i	0.0998774	−	0.0749015i	−0.548857	−	0.835916i	$-0.684937\pi$
$619$	2.48492	−	1.86353i	0.0998774	−	0.0749015i	0.648735	+	0.761015i	$0.275298\pi$
$620$	−10.5248	+	9.21533i	−0.422686	+	0.370097i
$621$	1.45577	+	0.780340i	0.0584180	+	0.0313140i
$622$	−10.0123	−	1.14183i	−0.401457	−	0.0457831i
$623$	7.26895	−	7.40784i	0.291224	−	0.296789i
$624$	1.67757	−	0.819080i	0.0671566	−	0.0327894i
$625$	−20.3726	−	16.5187i	−0.814906	−	0.660749i
$626$	7.04307	−	12.5624i	0.281498	−	0.502093i
$627$	2.38550	−	2.25377i	0.0952677	−	0.0900067i
$628$	−1.32729	−	0.254235i	−0.0529646	−	0.0101451i
$629$	29.9667	+	19.1130i	1.19485	+	0.762086i
$630$	1.63376	+	2.45766i	0.0650906	+	0.0979156i
$631$	14.6710	−	10.1582i	0.584045	−	0.404393i	−0.240121	−	0.970743i	$-0.577187\pi$
$631$	14.6710	−	10.1582i	0.584045	−	0.404393i	0.824165	+	0.566350i	$0.191645\pi$
$632$	−0.496764	+	5.23407i	−0.0197602	+	0.208200i
$633$	51.3314	−	7.83160i	2.04024	−	0.311278i
$634$	1.58359	−	11.8837i	0.0628924	−	0.471963i
$635$	8.69009	−	23.1167i	0.344856	−	0.917357i
$636$	−12.1353	+	6.50491i	−0.481195	+	0.257936i
$637$	−5.40522	+	2.14955i	−0.214163	+	0.0851682i
$638$	3.33312	−	2.12590i	0.131959	−	0.0841650i
$639$	7.59812	+	3.35995i	0.300577	+	0.132918i
$640$	−2.10007	+	2.30882i	−0.0830125	+	0.0912643i
$641$	11.4815	+	14.7211i	0.453491	+	0.581450i	0.959723	−	0.280947i	$-0.0906487\pi$
$641$	11.4815	+	14.7211i	0.453491	+	0.581450i	−0.506232	+	0.862398i	$0.668962\pi$
$642$	−4.17795	−	4.25777i	−0.164890	−	0.168041i
$643$	−8.62539	−	3.05747i	−0.340152	−	0.120575i	0.158544	−	0.987352i	$-0.449320\pi$
$643$	−8.62539	−	3.05747i	−0.340152	−	0.120575i	−0.498696	+	0.866777i	$0.666188\pi$
$644$	0.103992	−	0.311999i	0.00409787	−	0.0122945i
$645$	22.0512	−	9.75125i	0.868267	−	0.383955i
$646$	−3.15044	+	4.73920i	−0.123953	+	0.186462i
$647$	−0.799347	−	42.2320i	−0.0314256	−	1.66031i	−0.572922	−	0.819610i	$-0.694190\pi$
$647$	−0.799347	−	42.2320i	−0.0314256	−	1.66031i	0.541497	−	0.840703i	$-0.317858\pi$
$648$	−10.6021	+	3.75816i	−0.416489	+	0.147635i
$649$	8.99446	+	4.39157i	0.353063	+	0.172384i
$650$	−1.76699	−	3.79974i	−0.0693069	−	0.149038i
$651$	2.37158	+	5.64974i	0.0929494	+	0.221431i
$652$	−10.0228	+	16.3906i	−0.392525	+	0.641905i
$653$	−9.50196	+	18.5617i	−0.371841	+	0.726376i	−0.998603	−	0.0528336i	$-0.983175\pi$
$653$	−9.50196	+	18.5617i	−0.371841	+	0.726376i	0.626763	+	0.779210i	$0.284380\pi$
$654$	−4.22699	+	20.0105i	−0.165288	+	0.782473i
$655$	−27.3422	−	7.41882i	−1.06835	−	0.289877i
$656$	−0.447424	−	2.11810i	−0.0174690	−	0.0826980i
$657$	1.00223	−	17.6334i	0.0391007	−	0.687946i
$658$	2.78242	−	3.30183i	0.108470	−	0.128719i
$659$	18.5100	+	12.8163i	0.721046	+	0.499254i	0.872134	−	0.489267i	$-0.162735\pi$
$659$	18.5100	+	12.8163i	0.721046	+	0.499254i	−0.151088	+	0.988520i	$0.548278\pi$
$660$	0.124883	−	6.59796i	0.00486106	−	0.256825i
$661$	2.19477	+	6.58478i	0.0853668	+	0.256118i	0.982691	−	0.185254i	$-0.0593109\pi$
$661$	2.19477	+	6.58478i	0.0853668	+	0.256118i	−0.897324	+	0.441373i	$0.854492\pi$
$662$	4.15451	+	4.56748i	0.161470	+	0.177520i
$663$	1.16023	−	6.74576i	0.0450596	−	0.261984i
$664$	−0.432113	−	0.770737i	−0.0167692	−	0.0299104i
$665$	2.99276	+	0.934973i	0.116054	+	0.0362567i
$666$	−12.2197	−	7.15819i	−0.473503	−	0.277374i
$667$	−2.00655			−0.0776940
$668$	12.6872	+	2.45657i	0.490883	+	0.0950475i
$669$	20.9423			0.809677
$670$	−13.6902	−	8.01963i	−0.528900	−	0.309825i
$671$	−6.03607	−	1.88574i	−0.233020	−	0.0727981i
$672$	0.668530	+	1.19242i	0.0257891	+	0.0459987i
$673$	6.49966	−	37.7901i	0.250544	−	1.45670i	−0.538636	−	0.842539i	$-0.681060\pi$
$673$	6.49966	−	37.7901i	0.250544	−	1.45670i	0.789179	−	0.614163i	$-0.210506\pi$
$674$	−17.6695	−	19.4259i	−0.680603	−	0.748257i
$675$	4.87324	+	14.6208i	0.187571	+	0.562753i
$676$	0.231229	−	12.2165i	0.00889342	−	0.469867i
$677$	18.8148	+	13.0274i	0.723110	+	0.500682i	0.872817	−	0.488048i	$-0.162291\pi$
$677$	18.8148	+	13.0274i	0.723110	+	0.500682i	−0.149707	+	0.988730i	$0.547833\pi$
$678$	16.1261	−	19.1365i	0.619319	−	0.734931i
$679$	0.423811	−	7.45663i	0.0162644	−	0.286159i
$680$	2.36508	+	11.1963i	0.0906966	+	0.429357i
$681$	−7.00058	−	1.89949i	−0.268263	−	0.0727885i
$682$	0.927377	−	4.39019i	0.0355111	−	0.168109i
$683$	6.28429	−	12.2761i	0.240462	−	0.469733i	−0.738371	−	0.674395i	$-0.764405\pi$
$683$	6.28429	−	12.2761i	0.240462	−	0.469733i	0.978833	+	0.204662i	$0.0656094\pi$
$684$	1.18292	−	1.93446i	0.0452301	−	0.0739659i
$685$	−5.37930	−	12.8149i	−0.205532	−	0.489634i
$686$	−3.70657	−	7.97064i	−0.141518	−	0.304320i
$687$	−27.5341	−	13.4436i	−1.05049	−	0.512905i
$688$	3.44749	−	1.22204i	0.131434	−	0.0465900i
$689$	−0.109043	−	5.76110i	−0.00415422	−	0.219480i
$690$	−1.85425	+	2.78934i	−0.0705900	+	0.106188i
$691$	20.9542	−	9.26614i	0.797136	−	0.352501i	0.0345633	−	0.999403i	$-0.488996\pi$
$691$	20.9542	−	9.26614i	0.797136	−	0.352501i	0.762573	+	0.646902i	$0.223936\pi$
$692$	0.145328	−	0.436015i	0.00552454	−	0.0165748i
$693$	−0.892203	−	0.316262i	−0.0338920	−	0.0120138i
$694$	13.6461	+	13.9068i	0.517999	+	0.527896i
$695$	−7.07006	−	9.06497i	−0.268183	−	0.343854i
$696$	5.61223	−	6.17011i	0.212731	−	0.233877i
$697$	−7.25930	−	3.21012i	−0.274965	−	0.121592i
$698$	−0.133270	+	0.0850012i	−0.00504436	+	0.00321734i
$699$	14.8695	−	5.91329i	0.562415	−	0.223661i
$700$	2.70453	−	1.44972i	0.102222	−	0.0547942i
$701$	7.41237	−	19.7178i	0.279961	−	0.744730i	−0.718811	−	0.695205i	$-0.755314\pi$
$701$	7.41237	−	19.7178i	0.279961	−	0.744730i	0.998773	−	0.0495251i	$-0.0157708\pi$
$702$	0.379531	−	2.84810i	0.0143245	−	0.107495i
$703$	−14.8741	+	2.26933i	−0.560986	+	0.0855894i
$704$	0.0945886	−	0.996617i	0.00356494	−	0.0375614i
$705$	−36.1547	+	25.0336i	−1.36166	+	0.942819i
$706$	−3.95975	−	5.95663i	−0.149027	−	0.224181i
$707$	−8.54882	−	5.45252i	−0.321512	−	0.205063i
$708$	20.7403	+	3.97270i	0.779468	+	0.149303i
$709$	−17.1381	+	16.1917i	−0.643635	+	0.608092i	−0.937596	−	0.347726i	$-0.886954\pi$
$709$	−17.1381	+	16.1917i	−0.643635	+	0.608092i	0.293961	+	0.955817i	$0.405026\pi$
$710$	8.67982	−	15.4817i	0.325748	−	0.581019i
$711$	−5.96605	−	4.83744i	−0.223744	−	0.181418i
$712$	−14.4091	+	7.03527i	−0.540003	+	0.263658i
$713$	−1.59508	+	1.62556i	−0.0597362	+	0.0608776i
$714$	4.97998	+	0.567927i	0.186371	+	0.0212541i
$715$	2.43405	+	1.30473i	0.0910285	+	0.0487943i
$716$	18.0232	−	15.7808i	0.673559	−	0.589757i
$717$	12.4704	−	9.35195i	0.465714	−	0.349255i
$718$	−4.47575	−	5.31127i	−0.167034	−	0.198215i
$719$	−2.50503	−	26.3939i	−0.0934220	−	0.984325i	−0.912072	−	0.410031i	$-0.865518\pi$
$719$	−2.50503	−	26.3939i	−0.0934220	−	0.984325i	0.818650	−	0.574293i	$-0.194723\pi$
$720$	−1.11049	−	4.42223i	−0.0413856	−	0.164807i
$721$	2.11685	+	7.25547i	0.0788354	+	0.270208i
$722$	2.19149	+	16.4456i	0.0815589	+	0.612041i
$723$	−61.5796	−	14.2304i	−2.29017	−	0.529235i
$724$	−15.8147	+	4.94068i	−0.587747	+	0.183619i
$725$	−13.6091	−	12.8575i	−0.505428	−	0.477517i
$726$	−12.3470	−	17.1302i	−0.458242	−	0.635762i
$727$	15.1249	−	36.0317i	0.560953	−	1.33634i	−0.354929	−	0.934893i	$-0.615495\pi$
$727$	15.1249	−	36.0317i	0.560953	−	1.33634i	0.915882	−	0.401448i	$-0.131493\pi$
$728$	−0.571687	+	0.0216490i	−0.0211881	+	0.000802365i
$729$	−1.01428	+	4.03910i	−0.0375660	+	0.149596i
$730$	−37.3012	−	5.69103i	−1.38058	−	0.210634i
$731$	3.75613	−	12.8741i	0.138925	−	0.476166i
$732$	−13.3322	−	0.504871i	−0.492771	−	0.0186606i
$733$	0.357919	−	0.769671i	0.0132200	−	0.0284284i	−0.900030	−	0.435828i	$-0.856456\pi$
$733$	0.357919	−	0.769671i	0.0132200	−	0.0284284i	0.913250	+	0.407399i	$0.133564\pi$
$734$	16.7890	−	13.6130i	0.619692	−	0.502464i
$735$	7.35344	+	42.7541i	0.271236	+	1.57701i
$736$	−0.312487	+	0.400660i	−0.0115184	+	0.0147685i
$737$	5.05641	−	0.576643i	0.186255	−	0.0212409i
$738$	2.93876	+	1.16869i	0.108177	+	0.0430199i
$739$	41.5280	−	7.95447i	1.52763	−	0.292610i	0.645553	−	0.763715i	$-0.276627\pi$
$739$	41.5280	−	7.95447i	1.52763	−	0.292610i	0.882077	+	0.471105i	$0.156145\pi$
$740$	−17.6910	+	24.5443i	−0.650332	+	0.902268i
$741$	1.51163	+	2.47201i	0.0555313	+	0.0908116i
$742$	4.20735	−	0.319111i	0.154457	−	0.0117149i
$743$	−39.5198	−	29.6372i	−1.44984	−	1.08728i	−0.978716	−	0.205217i	$-0.934210\pi$
$743$	−39.5198	−	29.6372i	−1.44984	−	1.08728i	−0.471124	−	0.882067i	$-0.656152\pi$
$744$	−0.537191	−	9.45145i	−0.0196944	−	0.346507i
$745$	−22.0732	+	5.98918i	−0.808699	+	0.219426i
$746$	−5.43361	−	10.6144i	−0.198939	−	0.388619i
$747$	1.28716	+	0.0976257i	0.0470946	+	0.00357194i
$748$	−2.76155	−	2.41796i	−0.100972	−	0.0884094i
$749$	0.643253	+	1.71113i	0.0235040	+	0.0625233i
$750$	1.66372	−	0.384468i	0.0607504	−	0.0140388i
$751$	29.8023	−	17.4580i	1.08750	−	0.637051i	0.151291	−	0.988489i	$-0.451657\pi$
$751$	29.8023	−	17.4580i	1.08750	−	0.637051i	0.936211	+	0.351439i	$0.114307\pi$
$752$	−5.75620	+	3.37194i	−0.209907	+	0.122962i
$753$	−46.4183	+	10.7268i	−1.69158	+	0.390906i
$754$	1.22825	+	3.26729i	0.0447302	+	0.118988i
$755$	26.3314	+	23.0553i	0.958299	+	0.839070i
$756$	2.09799	+	0.159124i	0.0763033	+	0.00578730i
$757$	12.0120	+	23.4649i	0.436582	+	0.852847i	0.999650	+	0.0264368i	$0.00841607\pi$
$757$	12.0120	+	23.4649i	0.436582	+	0.852847i	−0.563068	+	0.826411i	$0.690379\pi$
$758$	−19.7333	+	5.35429i	−0.716746	+	0.194477i
$759$	−0.0609642	−	1.07262i	−0.00221286	−	0.0389335i
$760$	−3.87550	−	2.90637i	−0.140579	−	0.105425i
$761$	−15.4277	+	1.17013i	−0.559255	+	0.0424172i	−0.352222	−	0.935917i	$-0.614574\pi$
$761$	−15.4277	+	1.17013i	−0.559255	+	0.0424172i	−0.207033	+	0.978334i	$0.566381\pi$
$762$	8.71872	+	14.2579i	0.315846	+	0.516510i
$763$	3.66475	−	5.08446i	0.132673	−	0.184070i
$764$	6.13838	−	1.17577i	0.222079	−	0.0425380i
$765$	−15.5342	−	6.17765i	−0.561641	−	0.223354i
$766$	21.2369	−	2.42190i	0.767320	−	0.0875068i
$767$	−5.43503	+	6.96859i	−0.196247	+	0.251621i
$768$	−0.358009	−	2.08152i	−0.0129185	−	0.0751104i
$769$	−3.29935	+	2.67521i	−0.118977	+	0.0964704i	−0.687449	−	0.726232i	$-0.741270\pi$
$769$	−3.29935	+	2.67521i	−0.118977	+	0.0964704i	0.568472	+	0.822703i	$0.307535\pi$
$770$	−0.852736	+	1.83373i	−0.0307305	+	0.0660831i
$771$	−30.8341	−	1.16765i	−1.11046	−	0.0420517i
$772$	−3.71451	+	12.7314i	−0.133688	+	0.458215i
$773$	9.58085	+	1.46175i	0.344599	+	0.0525754i	0.320815	−	0.947142i	$-0.396043\pi$
$773$	9.58085	+	1.46175i	0.344599	+	0.0525754i	0.0237839	+	0.999717i	$0.492429\pi$
$774$	−1.30142	+	5.18257i	−0.0467787	+	0.186284i
$775$	−21.2345	+	0.804123i	−0.762767	+	0.0288849i
$776$	−4.46621	+	10.6397i	−0.160328	+	0.381944i
$777$	7.74876	+	10.7506i	0.277985	+	0.385675i
$778$	12.5702	+	11.8760i	0.450662	+	0.425775i
$779$	3.20721	−	1.00197i	0.114910	−	0.0358992i
$780$	5.67693	+	1.31188i	0.203267	+	0.0469729i
$781$	0.751995	+	5.64318i	0.0269085	+	0.201929i
$782$	0.521788	+	1.78842i	0.0186591	+	0.0639539i
$783$	−3.12655	−	12.4507i	−0.111734	−	0.444950i
$784$	0.621813	+	6.55163i	0.0222076	+	0.233987i
$785$	−2.71797	−	3.22535i	−0.0970084	−	0.115118i
$786$	15.3381	−	11.5026i	0.547093	−	0.410284i
$787$	26.4488	−	23.1581i	0.942798	−	0.825497i	−0.0420150	−	0.999117i	$-0.513378\pi$
$787$	26.4488	−	23.1581i	0.942798	−	0.825497i	0.984813	+	0.173620i	$0.0555464\pi$
$788$	−14.6367	−	7.84573i	−0.521409	−	0.279492i
$789$	−43.0306	−	4.90730i	−1.53193	−	0.174705i
$790$	−11.4928	+	11.7123i	−0.408894	+	0.416706i
$791$	−6.89138	+	3.36474i	−0.245029	+	0.119636i
$792$	1.13599	+	0.921095i	0.0403657	+	0.0327297i
$793$	2.73048	−	4.87022i	0.0969622	−	0.172947i
$794$	−6.75994	+	6.38664i	−0.239901	+	0.226653i
$795$	−42.2057	−	8.08429i	−1.49688	−	0.286720i
$796$	17.2746	+	11.0179i	0.612282	+	0.390520i
$797$	−14.8146	−	22.2856i	−0.524761	−	0.789397i	0.470926	−	0.882173i	$-0.343920\pi$
$797$	−14.8146	−	22.2856i	−0.524761	−	0.789397i	−0.995687	+	0.0927757i	$0.970426\pi$
$798$	−1.74445	+	1.20786i	−0.0617529	+	0.0427578i
$799$	−2.31107	+	24.3502i	−0.0817598	+	0.861448i
$800$	−4.68673	+	0.715052i	−0.165701	+	0.0252809i
$801$	3.09423	−	23.2200i	0.109329	−	0.820438i
$802$	12.3663	−	32.8958i	0.436669	−	1.16159i
$803$	10.6672	−	5.71795i	0.376436	−	0.201782i
$804$	9.97703	−	3.96767i	0.351863	−	0.139929i
$805$	0.865394	−	0.551956i	0.0305011	−	0.0194539i
$806$	3.62329	+	1.60225i	0.127625	+	0.0564369i
$807$	2.81592	−	3.09584i	0.0991252	−	0.108979i
$808$	9.63443	+	12.3529i	0.338938	+	0.434574i
$809$	21.9486	+	22.3679i	0.771671	+	0.786415i	0.981528	−	0.191317i	$-0.0612758\pi$
$809$	21.9486	+	22.3679i	0.771671	+	0.786415i	−0.209857	+	0.977732i	$0.567300\pi$
$810$	−33.0897	−	11.7294i	−1.16265	−	0.412130i
$811$	0.493093	−	1.47938i	0.0173148	−	0.0519482i	−0.939677	−	0.342063i	$-0.888874\pi$
$811$	0.493093	−	1.47938i	0.0173148	−	0.0519482i	0.956992	+	0.290115i	$0.0936936\pi$
$812$	−2.33765	+	1.03373i	−0.0820353	+	0.0362767i
$813$	−12.9178	+	19.4322i	−0.453047	+	0.681518i
$814$	−0.183652	−	9.70288i	−0.00643698	−	0.340086i
$815$	−56.5166	+	20.0336i	−1.97969	+	0.701748i
$816$	−6.95879	−	3.39765i	−0.243606	−	0.118942i
$817$	2.39384	+	5.14773i	0.0837499	+	0.180096i
$818$	11.2604	+	26.8252i	0.393709	+	0.937922i
$819$	0.436016	−	0.713028i	0.0152356	−	0.0249152i
$820$	3.07882	−	6.01435i	0.107517	−	0.210030i
$821$	−4.04021	+	19.1263i	−0.141004	+	0.667514i	0.849221	+	0.528037i	$0.177072\pi$
$821$	−4.04021	+	19.1263i	−0.141004	+	0.667514i	−0.990225	+	0.139476i	$0.955458\pi$
$822$	9.07701	+	2.46289i	0.316597	+	0.0859031i
$823$	−7.26628	−	34.3985i	−0.253287	−	1.19906i	−0.899851	−	0.436198i	$-0.856325\pi$
$823$	−7.26628	−	34.3985i	−0.253287	−	1.19906i	0.646564	−	0.762860i	$-0.276205\pi$
$824$	0.662619	−	11.6583i	0.0230834	−	0.406135i
$825$	6.45961	−	7.66547i	0.224895	−	0.266877i
$826$	−5.32051	−	3.68393i	−0.185124	−	0.128180i
$827$	−0.729503	+	38.5419i	−0.0253673	+	1.34023i	0.729330	+	0.684162i	$0.239832\pi$
$827$	−0.729503	+	38.5419i	−0.0253673	+	1.34023i	−0.754698	+	0.656073i	$0.772216\pi$
$828$	−0.234720	−	0.704210i	−0.00815708	−	0.0244730i
$829$	25.2663	+	27.7778i	0.877534	+	0.964764i	0.999615	−	0.0277562i	$-0.00883620\pi$
$829$	25.2663	+	27.7778i	0.877534	+	0.964764i	−0.122081	+	0.992520i	$0.538957\pi$
$830$	0.467457	−	2.71787i	0.0162257	−	0.0943386i
$831$	11.1051	+	19.8076i	0.385232	+	0.687118i
$832$	0.843678	+	0.263575i	0.0292493	+	0.00913781i
$833$	20.8202	+	12.1963i	0.721378	+	0.422578i
$834$	7.77963			0.269387
$835$	25.9284	+	30.8943i	0.897291	+	1.06914i
$836$	1.55381			0.0537397
$837$	−12.5720	−	7.36458i	−0.434552	−	0.254557i
$838$	16.0436	+	5.01220i	0.554217	+	0.173144i
$839$	−22.6703	−	40.4359i	−0.782666	−	1.39600i	−0.914440	−	0.404721i	$-0.867369\pi$
$839$	−22.6703	−	40.4359i	−0.782666	−	1.39600i	0.131774	−	0.991280i	$-0.457933\pi$
$840$	−0.723211	+	4.20487i	−0.0249532	+	0.145082i
$841$	−9.01990	−	9.91651i	−0.311031	−	0.341949i
$842$	−5.74105	−	17.2244i	−0.197850	−	0.593591i
$843$	0.971425	−	51.3234i	0.0334576	−	1.76767i
$844$	20.2126	+	13.9953i	0.695747	+	0.481736i
$845$	24.5743	−	29.1617i	0.845381	−	1.00319i
$846$	0.553028	−	9.73010i	0.0190135	−	0.334528i
$847$	1.33742	+	6.33135i	0.0459544	+	0.217548i
$848$	−6.29156	−	1.70711i	−0.216053	−	0.0586222i
$849$	−7.66100	+	36.2671i	−0.262925	+	1.24468i
$850$	−7.92089	+	15.4732i	−0.271684	+	0.530725i
$851$	−2.56966	+	4.20222i	−0.0880868	+	0.144050i
$852$	4.64889	+	11.0749i	0.159268	+	0.379420i
$853$	10.8638	+	23.3616i	0.371969	+	0.799884i	0.999769	+	0.0215095i	$0.00684721\pi$
$853$	10.8638	+	23.3616i	0.371969	+	0.799884i	−0.627800	+	0.778375i	$0.716044\pi$
$854$	3.67403	+	1.79386i	0.125723	+	0.0613846i
$855$	6.67023	−	2.36442i	0.228117	−	0.0808615i
$856$	−0.0534480	−	2.82382i	−0.00182681	−	0.0965163i
$857$	4.56802	−	6.87165i	0.156040	−	0.234731i	−0.746450	−	0.665442i	$-0.768243\pi$
$857$	4.56802	−	6.87165i	0.156040	−	0.234731i	0.902490	+	0.430711i	$0.141737\pi$
$858$	−1.70924	+	0.755839i	−0.0583523	+	0.0258039i
$859$	6.83639	−	20.5106i	0.233255	−	0.699813i	−0.765177	−	0.643820i	$-0.777348\pi$
$859$	6.83639	−	20.5106i	0.233255	−	0.699813i	0.998431	−	0.0559926i	$-0.0178323\pi$
$860$	10.7598	+	3.81406i	0.366906	+	0.130058i
$861$	−2.07274	−	2.11234i	−0.0706388	−	0.0719884i
$862$	16.2062	+	20.7789i	0.551984	+	0.707734i
$863$	−11.4559	+	12.5947i	−0.389963	+	0.428727i	−0.903001	−	0.429639i	$-0.858641\pi$
$863$	−11.4559	+	12.5947i	−0.389963	+	0.428727i	0.513037	+	0.858366i	$0.328520\pi$
$864$	−2.97300	−	1.31469i	−0.101144	−	0.0447266i
$865$	1.20938	−	0.771352i	0.0411201	−	0.0262268i
$866$	9.78702	−	3.89211i	0.332577	−	0.132259i
$867$	6.62101	−	3.54908i	0.224861	−	0.120533i
$868$	−1.02083	+	2.71553i	−0.0346493	+	0.0921712i
$869$	0.695234	−	5.21723i	0.0235842	−	0.176982i
$870$	25.7340	−	3.92622i	0.872464	−	0.133111i
$871$	−0.424556	+	4.47326i	−0.0143855	+	0.151571i
$872$	−7.96125	+	5.51238i	−0.269602	+	0.186673i
$873$	−9.33230	−	14.0386i	−0.315851	−	0.475133i
$874$	−0.664913	−	0.424088i	−0.0224910	−	0.0143450i
$875$	−0.513939	−	0.0984425i	−0.0173743	−	0.00332796i
$876$	18.5609	−	17.5359i	0.627115	−	0.592484i
$877$	10.5200	−	18.7640i	0.355236	−	0.633617i	−0.635080	−	0.772446i	$-0.719033\pi$
$877$	10.5200	−	18.7640i	0.355236	−	0.633617i	0.990316	+	0.138830i	$0.0443340\pi$
$878$	26.2041	+	21.2471i	0.884346	+	0.717054i
$879$	15.3060	−	7.47322i	0.516260	−	0.252066i
$880$	2.18833	−	2.23014i	0.0737686	−	0.0751780i
$881$	24.9309	+	2.84317i	0.839943	+	0.0957889i	0.522659	−	0.852542i	$-0.324940\pi$
$881$	24.9309	+	2.84317i	0.839943	+	0.0957889i	0.317284	+	0.948331i	$0.397229\pi$
$882$	−8.47365	−	4.54216i	−0.285323	−	0.152942i
$883$	4.69392	−	4.10991i	0.157963	−	0.138310i	−0.576131	−	0.817357i	$-0.695438\pi$
$883$	4.69392	−	4.10991i	0.157963	−	0.138310i	0.734094	+	0.679048i	$0.237607\pi$
$884$	2.59271	−	1.94436i	0.0872024	−	0.0653960i
$885$	42.4711	+	50.3995i	1.42765	+	1.69416i
$886$	−2.20335	−	23.2152i	−0.0740230	−	0.779930i
$887$	8.86734	+	35.3118i	0.297736	+	1.18565i	0.916486	+	0.400066i	$0.131013\pi$
$887$	8.86734	+	35.3118i	0.297736	+	1.18565i	−0.618750	+	0.785588i	$0.712361\pi$
$888$	−5.73454	−	19.6551i	−0.192439	−	0.659581i
$889$	−0.676499	−	5.07664i	−0.0226891	−	0.170265i
$890$	−48.7605	−	11.2681i	−1.63446	−	0.377706i
$891$	10.7485	−	3.35794i	0.360087	−	0.112495i
$892$	7.20749	+	6.80947i	0.241325	+	0.227998i
$893$	−6.05436	−	8.39979i	−0.202601	−	0.281088i
$894$	5.99057	−	14.2712i	0.200355	−	0.477299i
$895$	74.7131	−	2.82928i	2.49738	−	0.0945724i
$896$	−0.157640	+	0.627758i	−0.00526637	+	0.0209719i
$897$	0.937717	+	0.143067i	0.0313095	+	0.00477687i
$898$	−10.1574	+	34.8144i	−0.338957	+	1.16177i
$899$	17.6876	+	0.669804i	0.589914	+	0.0223392i
$900$	2.92047	−	6.28021i	0.0973491	−	0.209340i
$901$	−18.5659	+	15.0538i	−0.618520	+	0.501514i
$902$	0.367354	+	2.13585i	0.0122315	+	0.0711162i
$903$	3.07511	−	3.94279i	0.102333	−	0.131208i
$904$	11.7722	−	1.34253i	0.391539	−	0.0446519i
$905$	−48.0508	−	19.1089i	−1.59726	−	0.635200i
$906$	−23.2613	+	4.45559i	−0.772806	+	0.148027i
$907$	19.4691	−	27.0114i	0.646462	−	0.896898i	−0.352785	−	0.935705i	$-0.614765\pi$
$907$	19.4691	−	27.0114i	0.646462	−	0.896898i	0.999247	+	0.0388063i	$0.0123555\pi$
$908$	−1.79169	−	2.92999i	−0.0594593	−	0.0972351i
$909$	−22.8205	+	1.73084i	−0.756909	+	0.0574085i
$910$	−1.42848	−	1.07127i	−0.0473537	−	0.0355121i
$911$	0.852625	+	15.0013i	0.0282487	+	0.497014i	0.981091	+	0.193548i	$0.0619995\pi$
$911$	0.852625	+	15.0013i	0.0282487	+	0.497014i	−0.952842	+	0.303466i	$0.901856\pi$
$912$	3.16379	−	0.858441i	0.104764	−	0.0284258i
$913$	0.403078	+	0.787398i	0.0133399	+	0.0260591i
$914$	9.46246	+	0.717689i	0.312990	+	0.0237391i
$915$	−31.3284	−	27.4306i	−1.03569	−	0.906828i
$916$	−5.10486	−	13.5795i	−0.168669	−	0.448681i
$917$	−5.72442	+	1.32285i	−0.189037	+	0.0436845i
$918$	−10.2841	+	6.02437i	−0.339427	+	0.198834i
$919$	−22.0679	+	12.9272i	−0.727954	+	0.426430i	−0.822259	−	0.569114i	$-0.807286\pi$
$919$	−22.0679	+	12.9272i	−0.727954	+	0.426430i	0.0943052	+	0.995543i	$0.469937\pi$
$920$	−1.54512	+	0.357061i	−0.0509411	+	0.0117720i
$921$	9.18625	+	24.4365i	0.302697	+	0.805210i
$922$	30.7407	+	26.9160i	1.01239	+	0.886433i
$923$	−5.01215	−	0.380151i	−0.164977	−	0.0125128i
$924$	−0.623610	−	1.21820i	−0.0205153	−	0.0400758i
$925$	−44.3552	+	12.0350i	−1.45839	+	0.395709i
$926$	2.05341	+	36.1282i	0.0674793	+	1.18725i
$927$	13.6476	+	10.2348i	0.448247	+	0.336156i
$928$	3.93773	−	0.298661i	0.129262	−	0.00980403i
$929$	14.1344	+	23.1144i	0.463735	+	0.758357i	0.996107	−	0.0881536i	$-0.0280966\pi$
$929$	14.1344	+	23.1144i	0.463735	+	0.758357i	−0.532371	+	0.846511i	$0.678699\pi$
$930$	17.2761	−	23.9688i	0.566507	−	0.785969i
$931$	−10.0322	+	1.92161i	−0.328791	+	0.0629783i
$932$	7.04019	+	2.79974i	0.230609	+	0.0917087i
$933$	21.1469	−	2.41163i	0.692317	−	0.0789533i
$934$	0.862471	−	1.10583i	0.0282209	−	0.0361838i
$935$	−1.94183	−	11.2901i	−0.0635045	−	0.369225i
$936$	−1.00300	+	0.813258i	−0.0327839	+	0.0265822i
$937$	−14.8875	+	32.0142i	−0.486353	+	1.04586i	0.497596	+	0.867409i	$0.334216\pi$
$937$	−14.8875	+	32.0142i	−0.486353	+	1.04586i	−0.983949	+	0.178449i	$0.942892\pi$
$938$	−3.28800	−	0.124512i	−0.107357	−	0.00406546i
$939$	−8.51958	+	29.2008i	−0.278026	+	0.952932i
$940$	−20.5827	−	3.14030i	−0.671334	−	0.102425i
$941$	1.76593	−	7.03235i	0.0575678	−	0.229248i	−0.934306	−	0.356471i	$-0.883980\pi$
$941$	1.76593	−	7.03235i	0.0575678	−	0.229248i	0.991874	+	0.127223i	$0.0406064\pi$
$942$	2.85226	−	0.108011i	0.0929318	−	0.00351920i
$943$	0.425748	−	1.01425i	0.0138643	−	0.0330284i
$944$	5.84623	+	8.11102i	0.190278	+	0.263991i
$945$	4.77332	+	4.50973i	0.155276	+	0.146701i
$946$	−3.49509	+	1.09190i	−0.113635	+	0.0355009i
$947$	−36.4614	−	8.42586i	−1.18484	−	0.273804i	−0.413664	−	0.910430i	$-0.635751\pi$
$947$	−36.4614	−	8.42586i	−1.18484	−	0.273804i	−0.771173	+	0.636626i	$0.780330\pi$
$948$	−1.46679	−	11.0072i	−0.0476390	−	0.357496i
$949$	2.99296	+	10.2584i	0.0971558	+	0.333000i
$950$	−1.79219	−	7.13692i	−0.0581463	−	0.231552i
$951$	2.39248	+	25.2080i	0.0775816	+	0.817425i
$952$	1.52924	+	1.81471i	0.0495630	+	0.0588152i
$953$	−1.59002	+	1.19241i	−0.0515057	+	0.0386259i	−0.625408	−	0.780298i	$-0.715067\pi$
$953$	−1.59002	+	1.19241i	−0.0515057	+	0.0386259i	0.573902	+	0.818924i	$0.305429\pi$
$954$	7.16520	−	6.27372i	0.231982	−	0.203119i
$955$	17.1923	+	9.21563i	0.556329	+	0.298211i
$956$	7.33261	+	0.836226i	0.237153	+	0.0270455i
$957$	−5.84810	+	5.95983i	−0.189042	+	0.192654i
$958$	−23.4266	+	11.4381i	−0.756879	+	0.369549i
$959$	−2.23877	−	1.81526i	−0.0722935	−	0.0586177i
$960$	3.22367	−	5.74990i	0.104044	−	0.185577i
$961$	−7.93055	+	7.49260i	−0.255824	+	0.241697i
$962$	8.41546	+	1.61194i	0.271325	+	0.0519710i
$963$	3.47871	+	2.21875i	0.112100	+	0.0714984i
$964$	−16.5661	−	24.9204i	−0.533558	−	0.802631i
$965$	−34.0308	+	23.5630i	−1.09549	+	0.758520i
$966$	−0.0656302	+	0.691501i	−0.00211162	+	0.0222487i
$967$	55.2331	−	8.42689i	1.77618	−	0.270990i	0.821839	−	0.569721i	$-0.192949\pi$
$967$	55.2331	−	8.42689i	1.77618	−	0.270990i	0.954338	+	0.298730i	$0.0965630\pi$
$968$	1.32061	−	9.91021i	0.0424459	−	0.318526i
$969$	4.22942	−	11.2508i	0.135869	−	0.361427i
$970$	−31.7415	+	17.0145i	−1.01916	+	0.546303i
$971$	37.9336	−	15.0854i	1.21735	−	0.484115i	0.329456	−	0.944171i	$-0.393135\pi$
$971$	37.9336	−	15.0854i	1.21735	−	0.484115i	0.887890	+	0.460056i	$0.152171\pi$
$972$	11.8082	−	7.53139i	0.378749	−	0.241569i
$973$	−2.18040	−	0.964189i	−0.0699003	−	0.0309105i
$974$	20.0245	−	22.0151i	0.641628	−	0.705408i
$975$	5.44315	+	6.97901i	0.174320	+	0.223507i
$976$	−4.42423	−	4.50876i	−0.141616	−	0.144322i
$977$	−13.1624	−	4.66572i	−0.421102	−	0.149270i	0.115110	−	0.993353i	$-0.463278\pi$
$977$	−13.1624	−	4.66572i	−0.421102	−	0.149270i	−0.536212	+	0.844083i	$0.680145\pi$
$978$	12.8310	−	38.4957i	0.410290	−	1.23096i
$979$	14.6810	−	6.49208i	0.469208	−	0.207488i
$980$	−11.3709	+	17.1052i	−0.363230	+	0.546406i
$981$	−0.267708	−	14.1439i	−0.00854727	−	0.451579i
$982$	−33.0981	+	11.7324i	−1.05620	+	0.374396i
$983$	10.6518	+	5.20080i	0.339741	+	0.165880i	0.600709	−	0.799468i	$-0.294885\pi$
$983$	10.6518	+	5.20080i	0.339741	+	0.165880i	−0.260968	+	0.965347i	$0.584042\pi$
$984$	1.92799	+	4.14597i	0.0614622	+	0.132169i
$985$	−20.0611	−	47.7910i	−0.639201	−	1.52275i
$986$	7.55365	−	12.3527i	0.240557	−	0.393389i
$987$	−4.15562	+	8.11786i	−0.132275	+	0.258394i
$988$	−0.283540	+	1.34228i	−0.00902062	+	0.0427035i
$989$	1.79365	+	0.486676i	0.0570347	+	0.0154754i
$990$	0.943384	+	4.46597i	0.0299827	+	0.141938i
$991$	1.12476	−	19.7893i	0.0357292	−	0.628628i	−0.929757	−	0.368174i	$-0.879983\pi$
$991$	1.12476	−	19.7893i	0.0357292	−	0.628628i	0.965486	−	0.260454i	$-0.0838723\pi$
$992$	2.88829	−	3.42747i	0.0917034	−	0.108822i
$993$	−10.7214	−	7.42353i	−0.340234	−	0.235579i
$994$	0.0696558	−	3.68013i	0.00220935	−	0.116727i
$995$	20.2208	+	60.6666i	0.641042	+	1.92326i
$996$	1.25575	+	1.38057i	0.0397898	+	0.0437451i
$997$	5.80162	−	33.7315i	0.183739	−	1.06829i	−0.736356	−	0.676594i	$-0.763455\pi$
$997$	5.80162	−	33.7315i	0.183739	−	1.06829i	0.920095	−	0.391695i	$-0.128111\pi$
$998$	−14.7911	−	26.3821i	−0.468203	−	0.835109i
$999$	−30.0788	−	9.39695i	−0.951650	−	0.297306i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	334.2.c.b.107.6	✓	574
167.64	even	83	inner	334.2.c.b.231.6	yes	574

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
334.2.c.b.107.6	✓	574	1.1	even	1	trivial
334.2.c.b.231.6	yes	574	167.64	even	83	inner

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

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Twists

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

Label	334.2.c.b.107.6

Level	$334$
Weight	$2$
Character	334.107
Analytic conductor	$2.667$
Analytic rank	$0$
Dimension	$574$
Inner twists	$2$