LMFDB - Embedded newform 160.4.z.a.149.65

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [160,4,Mod(29,160)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(160, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([0, 3, 4]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("160.29");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 160 = 2^{5} \cdot 5 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	160.z (of order $8$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$9.44030560092$
Analytic rank:	$0$
Dimension:	$280$
Relative dimension:	$70$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			149.65
Character	$\chi$	$=$	160.149
Dual form			160.4.z.a.29.65

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(2.71925 - 0.778249i) q^{2} +(-0.155312 - 0.374956i) q^{3} +(6.78866 - 4.23251i) q^{4} +(-6.65687 + 8.98254i) q^{5} +(-0.714142 - 0.898729i) q^{6} +(8.18573 - 8.18573i) q^{7} +(15.1661 - 16.7925i) q^{8} +(18.9754 - 18.9754i) q^{9} +(-11.1110 + 29.6065i) q^{10} +(16.3186 + 6.75938i) q^{11} +(-2.64137 - 1.88809i) q^{12} +(55.5847 - 23.0239i) q^{13} +(15.8885 - 28.6296i) q^{14} +(4.40195 + 1.10094i) q^{15} +(28.1717 - 57.4661i) q^{16} -6.99500 q^{17} +(36.8313 - 66.3665i) q^{18} +(23.8850 + 57.6634i) q^{19} +(-7.17250 + 89.1547i) q^{20} +(-4.34063 - 1.79795i) q^{21} +(49.6348 + 5.68052i) q^{22} +(31.1187 + 31.1187i) q^{23} +(-8.65194 - 3.07855i) q^{24} +(-36.3721 - 119.591i) q^{25} +(133.230 - 105.867i) q^{26} +(-20.1859 - 8.36127i) q^{27} +(20.9239 - 90.2163i) q^{28} +(-223.315 + 92.4999i) q^{29} +(12.8268 - 0.432086i) q^{30} -324.218 q^{31} +(31.8830 - 178.189i) q^{32} -7.16857i q^{33} +(-19.0212 + 5.44385i) q^{34} +(19.0373 + 128.020i) q^{35} +(48.5039 - 209.131i) q^{36} +(340.670 + 141.110i) q^{37} +(109.826 + 138.213i) q^{38} +(-17.2659 - 17.2659i) q^{39} +(49.8807 + 248.016i) q^{40} +(28.8054 - 28.8054i) q^{41} +(-13.2025 - 1.51098i) q^{42} +(85.4797 - 206.366i) q^{43} +(139.390 - 23.1815i) q^{44} +(44.1306 + 296.764i) q^{45} +(108.838 + 60.4014i) q^{46} -404.846 q^{47} +(-25.9227 - 1.63798i) q^{48} +208.988i q^{49} +(-191.977 - 296.892i) q^{50} +(1.08641 + 2.62282i) q^{51} +(279.896 - 391.564i) q^{52} +(-130.250 + 314.451i) q^{53} +(-61.3976 - 7.02674i) q^{54} +(-169.347 + 101.586i) q^{55} +(-13.3134 - 261.605i) q^{56} +(17.9116 - 17.9116i) q^{57} +(-535.261 + 425.325i) q^{58} +(-139.925 + 337.809i) q^{59} +(34.5431 - 11.1574i) q^{60} +(224.274 - 92.8973i) q^{61} +(-881.630 + 252.322i) q^{62} -310.655i q^{63} +(-51.9780 - 509.355i) q^{64} +(-163.207 + 652.559i) q^{65} +(-5.57893 - 19.4931i) q^{66} +(-309.648 - 747.556i) q^{67} +(-47.4866 + 29.6064i) q^{68} +(6.83504 - 16.5012i) q^{69} +(151.399 + 333.303i) q^{70} +(80.6945 + 80.6945i) q^{71} +(-30.8619 - 606.428i) q^{72} +(404.775 + 404.775i) q^{73} +(1036.19 + 118.588i) q^{74} +(-39.1925 + 32.2119i) q^{75} +(406.208 + 290.364i) q^{76} +(188.910 - 78.2491i) q^{77} +(-60.3876 - 33.5132i) q^{78} +735.297i q^{79} +(328.656 + 635.598i) q^{80} -715.685i q^{81} +(55.9113 - 100.747i) q^{82} +(-1133.81 + 469.638i) q^{83} +(-37.0769 + 6.16612i) q^{84} +(46.5648 - 62.8329i) q^{85} +(71.8364 - 627.686i) q^{86} +(69.3669 + 69.3669i) q^{87} +(360.996 - 171.517i) q^{88} +(-117.324 - 117.324i) q^{89} +(350.959 + 772.632i) q^{90} +(266.533 - 643.469i) q^{91} +(342.964 + 79.5438i) q^{92} +(50.3549 + 121.568i) q^{93} +(-1100.88 + 315.071i) q^{94} +(-676.963 - 169.310i) q^{95} +(-71.7651 + 15.7202i) q^{96} -23.2157i q^{97} +(162.644 + 568.290i) q^{98} +(437.914 - 181.390i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 280 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9} - 4 q^{10} - 8 q^{11} + 200 q^{14} - 8 q^{16} - 8 q^{19} - 4 q^{20} - 8 q^{21} - 464 q^{24} - 4 q^{25} - 48 q^{26} - 8 q^{29} + 1124 q^{30} + 1472 q^{31} - 72 q^{34}+ \cdots + 5520 q^{99}+O(q^{100}) $ 280 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9 - 4 * q^10 - 8 * q^11 + 200 * q^14 - 8 * q^16 - 8 * q^19 - 4 * q^20 - 8 * q^21 - 464 * q^24 - 4 * q^25 - 48 * q^26 - 8 * q^29 + 1124 * q^30 + 1472 * q^31 - 72 * q^34 - 460 * q^35 - 888 * q^36 - 8 * q^39 - 1112 * q^40 - 8 * q^41 - 8 * q^44 - 112 * q^45 - 8 * q^46 + 3556 * q^50 - 1712 * q^51 + 856 * q^54 + 284 * q^55 + 328 * q^56 - 1384 * q^59 - 5248 * q^60 - 1832 * q^61 + 832 * q^64 - 8 * q^65 + 6088 * q^66 + 1048 * q^69 - 616 * q^70 + 216 * q^71 - 2064 * q^74 + 2204 * q^75 - 5128 * q^76 - 656 * q^80 - 6904 * q^84 - 504 * q^85 - 1192 * q^86 - 8 * q^89 + 2720 * q^90 - 8 * q^91 - 920 * q^94 - 8 * q^95 - 4152 * q^96 + 5520 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/160\mathbb{Z}\right)^\times$.

$n$	$31$	$97$	$101$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{8}\right)$

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 $

$2$	2.71925	−	0.778249i	0.961401	−	0.275153i
$2$	2.71925	−	0.778249i	0.961401	−	0.275153i
$3$	−0.155312	−	0.374956i	−0.0298898	−	0.0721604i	0.908230	−	0.418472i	$-0.137434\pi$
$3$	−0.155312	−	0.374956i	−0.0298898	−	0.0721604i	−0.938120	+	0.346311i	$0.887434\pi$
$4$	6.78866	−	4.23251i	0.848582	−	0.529064i
$5$	−6.65687	+	8.98254i	−0.595409	+	0.803423i
$5$	−6.65687	+	8.98254i	−0.595409	+	0.803423i
$6$	−0.714142	−	0.898729i	−0.0485912	−	0.0611508i
$7$	8.18573	−	8.18573i	0.441988	−	0.441988i	−0.450692	−	0.892680i	$-0.648823\pi$
$7$	8.18573	−	8.18573i	0.441988	−	0.441988i	0.892680	+	0.450692i	$0.148823\pi$
$8$	15.1661	−	16.7925i	0.670254	−	0.742132i
$9$	18.9754	−	18.9754i	0.702793	−	0.702793i
$10$	−11.1110	+	29.6065i	−0.351362	+	0.936240i
$11$	16.3186	+	6.75938i	0.447294	+	0.185275i	0.594949	−	0.803764i	$-0.297172\pi$
$11$	16.3186	+	6.75938i	0.447294	+	0.185275i	−0.147654	+	0.989039i	$0.547172\pi$
$12$	−2.64137	−	1.88809i	−0.0635414	−	0.0454204i
$13$	55.5847	−	23.0239i	1.18588	−	0.491207i	0.299467	−	0.954107i	$-0.403191\pi$
$13$	55.5847	−	23.0239i	1.18588	−	0.491207i	0.886410	+	0.462900i	$0.153191\pi$
$14$	15.8885	−	28.6296i	0.303313	−	0.546542i
$15$	4.40195	+	1.10094i	0.0757720	+	0.0189508i
$16$	28.1717	−	57.4661i	0.440183	−	0.897908i
$17$	−6.99500			−0.0997963			−0.0498981	−	0.998754i	$-0.515890\pi$
$17$	−6.99500			−0.0997963			−0.0498981	+	0.998754i	$0.515890\pi$
$18$	36.8313	−	66.3665i	0.482290	−	0.869041i
$19$	23.8850	+	57.6634i	0.288399	+	0.696257i	0.999980	−	0.00634714i	$-0.00202037\pi$
$19$	23.8850	+	57.6634i	0.288399	+	0.696257i	−0.711581	+	0.702604i	$0.752020\pi$
$20$	−7.17250	+	89.1547i	−0.0801910	+	0.996780i
$21$	−4.34063	−	1.79795i	−0.0451049	−	0.0186831i
$22$	49.6348	+	5.68052i	0.481008	+	0.0550496i
$23$	31.1187	+	31.1187i	0.282117	+	0.282117i	0.833953	−	0.551836i	$-0.186072\pi$
$23$	31.1187	+	31.1187i	0.282117	+	0.282117i	−0.551836	+	0.833953i	$0.686072\pi$
$24$	−8.65194	−	3.07855i	−0.0735863	−	0.0261836i
$25$	−36.3721	−	119.591i	−0.290977	−	0.956730i
$26$	133.230	−	105.867i	1.00495	−	0.798544i
$27$	−20.1859	−	8.36127i	−0.143881	−	0.0595973i
$28$	20.9239	−	90.2163i	0.141223	−	0.608903i
$29$	−223.315	+	92.4999i	−1.42995	+	0.592304i	−0.957339	−	0.288968i	$-0.906688\pi$
$29$	−223.315	+	92.4999i	−1.42995	+	0.592304i	−0.472609	+	0.881272i	$0.656688\pi$
$30$	12.8268	−	0.432086i	0.0780616	−	0.00262959i
$31$	−324.218			−1.87843			−0.939214	−	0.343332i	$-0.888444\pi$
$31$	−324.218			−1.87843			−0.939214	+	0.343332i	$0.888444\pi$
$32$	31.8830	−	178.189i	0.176130	−	0.984367i
$33$		−	7.16857i		−	0.0378148i
$34$	−19.0212	+	5.44385i	−0.0959442	+	0.0274592i
$35$	19.0373	+	128.020i	0.0919399	+	0.618267i
$36$	48.5039	−	209.131i	0.224555	−	0.968200i
$37$	340.670	+	141.110i	1.51367	+	0.626982i	0.976311	−	0.216372i	$-0.0694225\pi$
$37$	340.670	+	141.110i	1.51367	+	0.626982i	0.537358	+	0.843354i	$0.319422\pi$
$38$	109.826	+	138.213i	0.468844	+	0.590028i
$39$	−17.2659	−	17.2659i	−0.0708913	−	0.0708913i
$40$	49.8807	+	248.016i	0.197171	+	0.980369i
$41$	28.8054	−	28.8054i	0.109723	−	0.109723i	−0.650114	−	0.759837i	$-0.725279\pi$
$41$	28.8054	−	28.8054i	0.109723	−	0.109723i	0.759837	+	0.650114i	$0.225279\pi$
$42$	−13.2025	−	1.51098i	−0.0485046	−	0.00555118i
$43$	85.4797	−	206.366i	0.303152	−	0.731874i	−0.696742	−	0.717322i	$-0.745368\pi$
$43$	85.4797	−	206.366i	0.303152	−	0.731874i	0.999894	−	0.0145520i	$-0.00463220\pi$
$44$	139.390	−	23.1815i	0.477588	−	0.0794259i
$45$	44.1306	+	296.764i	0.146191	+	0.983089i
$46$	108.838	+	60.4014i	0.348853	+	0.193602i
$47$	−404.846			−1.25644			−0.628221	−	0.778035i	$-0.716217\pi$
$47$	−404.846			−1.25644			−0.628221	+	0.778035i	$0.716217\pi$
$48$	−25.9227	−	1.63798i	−0.0779504	−	0.00492546i
$49$			208.988i			0.609293i
$50$	−191.977	−	296.892i	−0.542992	−	0.839738i
$51$	1.08641	+	2.62282i	0.00298289	+	0.00720134i
$52$	279.896	−	391.564i	0.746435	−	1.04423i
$53$	−130.250	+	314.451i	−0.337570	+	0.814965i	0.660378	+	0.750933i	$0.270396\pi$
$53$	−130.250	+	314.451i	−0.337570	+	0.814965i	−0.997948	+	0.0640319i	$0.979604\pi$
$54$	−61.3976	−	7.02674i	−0.154725	−	0.0177077i
$55$	−169.347	+	101.586i	−0.415177	+	0.249052i
$56$	−13.3134	−	261.605i	−0.0317692	−	0.624257i
$57$	17.9116	−	17.9116i	0.0416220	−	0.0416220i
$58$	−535.261	+	425.325i	−1.21178	+	0.962895i
$59$	−139.925	+	337.809i	−0.308757	+	0.745405i	0.690989	+	0.722865i	$0.257175\pi$
$59$	−139.925	+	337.809i	−0.308757	+	0.745405i	−0.999746	+	0.0225401i	$0.992825\pi$
$60$	34.5431	−	11.1574i	0.0743249	−	0.0240069i
$61$	224.274	−	92.8973i	0.470743	−	0.194988i	−0.134684	−	0.990889i	$-0.543002\pi$
$61$	224.274	−	92.8973i	0.470743	−	0.194988i	0.605428	+	0.795900i	$0.293002\pi$
$62$	−881.630	+	252.322i	−1.80592	+	0.516854i
$63$		−	310.655i		−	0.621252i
$64$	−51.9780	−	509.355i	−0.101519	−	0.994834i
$65$	−163.207	+	652.559i	−0.311435	+	1.24523i
$66$	−5.57893	−	19.4931i	−0.0104048	−	0.0363551i
$67$	−309.648	−	747.556i	−0.564620	−	1.36311i	−0.906036	−	0.423200i	$-0.860907\pi$
$67$	−309.648	−	747.556i	−0.564620	−	1.36311i	0.341417	−	0.939912i	$-0.389093\pi$
$68$	−47.4866	+	29.6064i	−0.0846853	+	0.0527986i
$69$	6.83504	−	16.5012i	0.0119252	−	0.0287901i
$70$	151.399	+	333.303i	0.258509	+	0.569104i
$71$	80.6945	+	80.6945i	0.134883	+	0.134883i	0.771325	−	0.636442i	$-0.219595\pi$
$71$	80.6945	+	80.6945i	0.134883	+	0.134883i	−0.636442	+	0.771325i	$0.719595\pi$
$72$	−30.8619	−	606.428i	−0.0505154	−	0.992615i
$73$	404.775	+	404.775i	0.648977	+	0.648977i	0.952746	−	0.303769i	$-0.0982450\pi$
$73$	404.775	+	404.775i	0.648977	+	0.648977i	−0.303769	+	0.952746i	$0.598245\pi$
$74$	1036.19	+	118.588i	1.62776	+	0.186291i
$75$	−39.1925	+	32.2119i	−0.0603408	+	0.0495935i
$76$	406.208	+	290.364i	0.613095	+	0.438250i
$77$	188.910	−	78.2491i	0.279588	−	0.115809i
$78$	−60.3876	−	33.5132i	−0.0876609	−	0.0486490i
$79$			735.297i			1.04718i	0.851970	+	0.523591i	$0.175408\pi$
$79$			735.297i			1.04718i	−0.851970	+	0.523591i	$0.824592\pi$
$80$	328.656	+	635.598i	0.459311	+	0.888275i
$81$		−	715.685i		−	0.981736i
$82$	55.9113	−	100.747i	0.0752971	−	0.135678i
$83$	−1133.81	+	469.638i	−1.49941	+	0.621078i	−0.973341	−	0.229361i	$-0.926336\pi$
$83$	−1133.81	+	469.638i	−1.49941	+	0.621078i	−0.526073	+	0.850439i	$0.676336\pi$
$84$	−37.0769	+	6.16612i	−0.0481598	+	0.00800927i
$85$	46.5648	−	62.8329i	0.0594196	−	0.0801786i
$86$	71.8364	−	627.686i	0.0900735	−	0.787037i
$87$	69.3669	+	69.3669i	0.0854817	+	0.0854817i
$88$	360.996	−	171.517i	0.437299	−	0.207770i
$89$	−117.324	−	117.324i	−0.139734	−	0.139734i	0.633780	−	0.773514i	$-0.281503\pi$
$89$	−117.324	−	117.324i	−0.139734	−	0.139734i	−0.773514	+	0.633780i	$0.781503\pi$
$90$	350.959	+	772.632i	0.411048	+	0.904918i
$91$	266.533	−	643.469i	0.307036	−	0.741251i
$92$	342.964	+	79.5438i	0.388657	+	0.0901415i
$93$	50.3549	+	121.568i	0.0561459	+	0.135548i
$94$	−1100.88	+	315.071i	−1.20794	+	0.345714i
$95$	−676.963	−	169.310i	−0.731105	−	0.182851i
$96$	−71.7651	+	15.7202i	−0.0762968	+	0.0167129i
$97$		−	23.2157i		−	0.0243010i	−0.999926	−	0.0121505i	$-0.996132\pi$
$97$		−	23.2157i		−	0.0243010i	0.999926	−	0.0121505i	$-0.00386772\pi$
$98$	162.644	+	568.290i	0.167649	+	0.585775i
$99$	437.914	−	181.390i	0.444566	−	0.184145i
$100$	−753.089	−	657.918i	−0.753089	−	0.657918i
$101$	−126.622	+	305.693i	−0.124746	+	0.301165i	−0.973899	−	0.226984i	$-0.927114\pi$
$101$	−126.622	+	305.693i	−0.124746	+	0.301165i	0.849152	+	0.528148i	$0.177114\pi$
$102$	4.99542	+	6.28661i	0.00484922	+	0.00610262i
$103$	−1072.29	+	1072.29i	−1.02578	+	1.02578i	−0.0261218	+	0.999659i	$0.508316\pi$
$103$	−1072.29	+	1072.29i	−1.02578	+	1.02578i	−0.999659	+	0.0261218i	$0.991684\pi$
$104$	456.373	−	1282.59i	0.430299	−	1.20931i
$105$	45.0452	−	27.0212i	0.0418663	−	0.0251143i
$106$	−109.461	+	956.438i	−0.100300	+	0.876391i
$107$	332.349	−	802.362i	0.300275	−	0.724927i	−0.699671	−	0.714466i	$-0.746670\pi$
$107$	332.349	−	802.362i	0.300275	−	0.724927i	0.999945	−	0.0104617i	$-0.00333012\pi$
$108$	−172.424	+	28.6752i	−0.153625	+	0.0255488i
$109$	229.675	+	554.484i	0.201824	+	0.487247i	0.992092	−	0.125515i	$-0.0400583\pi$
$109$	229.675	+	554.484i	0.201824	+	0.487247i	−0.790267	+	0.612762i	$0.790058\pi$
$110$	−381.438	+	408.032i	−0.330624	+	0.353676i
$111$		−	149.652i		−	0.127967i
$112$	−239.796	−	701.008i	−0.202309	−	0.591420i
$113$	944.182			0.786028			0.393014	−	0.919533i	$-0.371432\pi$
$113$	944.182			0.786028			0.393014	+	0.919533i	$0.371432\pi$
$114$	34.7665	−	62.6460i	0.0285630	−	0.0514678i
$115$	−486.678	+	72.3718i	−0.394634	+	0.0586844i
$116$	−1124.50	+	1573.13i	−0.900061	+	1.25915i
$117$	617.853	−	1491.63i	0.488210	−	1.17864i
$118$	−117.592	+	1027.48i	−0.0917389	+	0.801589i
$119$	−57.2592	+	57.2592i	−0.0441087	+	0.0441087i
$120$	85.2481	−	57.2230i	0.0648504	−	0.0435310i
$121$	−720.552	−	720.552i	−0.541362	−	0.541362i
$122$	537.560	−	427.152i	0.398921	−	0.316988i
$123$	−15.2746	−	6.32693i	−0.0111972	−	0.00463805i
$124$	−2201.00	+	1372.26i	−1.59400	+	0.993808i
$125$	1316.36	+	469.389i	0.941909	+	0.335868i
$126$	−241.767	−	844.750i	−0.170939	−	0.597272i
$127$		−	1848.45i		−	1.29152i	−0.763539	−	0.645761i	$-0.776540\pi$
$127$		−	1848.45i		−	1.29152i	0.763539	−	0.645761i	$-0.223460\pi$
$128$	−537.746	−	1344.61i	−0.371332	−	0.928500i
$129$	−90.6544			−0.0618734
$130$	64.0538	+	1901.49i	0.0432145	+	1.28286i
$131$	1125.30	−	466.114i	0.750518	−	0.310875i	0.0255650	−	0.999673i	$-0.491862\pi$
$131$	1125.30	−	466.114i	0.750518	−	0.310875i	0.724953	+	0.688799i	$0.241862\pi$
$132$	−30.3410	−	48.6649i	−0.0200064	−	0.0320889i
$133$	667.533	+	276.501i	0.435206	+	0.180268i
$134$	−1423.80	−	1791.81i	−0.917889	−	1.15514i
$135$	209.480	−	125.661i	0.133550	−	0.0801122i
$136$	−106.087	+	117.464i	−0.0668888	+	0.0740620i
$137$	−421.450	−	421.450i	−0.262824	−	0.262824i	0.563376	−	0.826200i	$-0.309502\pi$
$137$	−421.450	−	421.450i	−0.262824	−	0.262824i	−0.826200	+	0.563376i	$0.809502\pi$
$138$	5.74411	−	50.1904i	0.00354327	−	0.0309601i
$139$	565.929	+	234.415i	0.345334	+	0.143042i	0.548608	−	0.836080i	$-0.315158\pi$
$139$	565.929	+	234.415i	0.345334	+	0.143042i	−0.203273	+	0.979122i	$0.565158\pi$
$140$	671.084	+	788.508i	0.405121	+	0.476008i
$141$	62.8774	+	151.799i	0.0375548	+	0.0906654i
$142$	282.229	+	156.628i	0.166790	+	0.0925629i
$143$	1062.69			0.621445
$144$	−555.874	−	1625.01i	−0.321686	−	0.940401i
$145$	655.692	−	2621.69i	0.375533	−	1.50152i
$146$	1415.70	+	785.669i	0.802495	+	0.445359i
$147$	78.3612	−	32.4583i	0.0439668	−	0.0182117i
$148$	2909.94	−	483.941i	1.61619	−	0.268782i
$149$	2372.89	+	982.884i	1.30466	+	0.540409i	0.923322	−	0.384025i	$-0.125463\pi$
$149$	2372.89	+	982.884i	1.30466	+	0.540409i	0.381341	+	0.924435i	$0.375463\pi$
$150$	−81.5053	+	118.094i	−0.0443658	+	0.0642821i
$151$	−1029.38	+	1029.38i	−0.554764	+	0.554764i	−0.927812	−	0.373048i	$-0.878313\pi$
$151$	−1029.38	+	1029.38i	−0.554764	+	0.554764i	0.373048	+	0.927812i	$0.378313\pi$
$152$	1330.56	+	473.441i	0.710015	+	0.252639i
$153$	−132.733	+	132.733i	−0.0701361	+	0.0701361i
$154$	452.796	−	359.798i	0.236931	−	0.188268i
$155$	2158.28	−	2912.30i	1.11843	−	1.50917i
$156$	−190.291	−	44.1342i	−0.0976631	−	0.0226511i
$157$	802.704	+	1937.90i	0.408043	+	0.985104i	0.985652	+	0.168790i	$0.0539859\pi$
$157$	802.704	+	1937.90i	0.408043	+	0.985104i	−0.577609	+	0.816314i	$0.696014\pi$
$158$	572.244	+	1999.46i	0.288135	+	1.00676i
$159$	138.135			0.0688981
$160$	1388.35	+	1472.57i	0.685994	+	0.727608i
$161$	509.458			0.249385
$162$	−556.982	−	1946.13i	−0.270127	−	0.943841i
$163$	−1162.59	−	2806.74i	−0.558658	−	1.34872i	−0.910829	−	0.412784i	$-0.864557\pi$
$163$	−1162.59	−	2806.74i	−0.558658	−	1.34872i	0.352171	−	0.935936i	$-0.385443\pi$
$164$	73.6307	−	317.469i	0.0350585	−	0.151159i
$165$	64.3920	+	47.7202i	0.0303813	+	0.0225152i
$166$	−2717.61	+	2159.45i	−1.27065	+	1.00967i
$167$	140.070	−	140.070i	0.0649037	−	0.0649037i	−0.673910	−	0.738814i	$-0.735386\pi$
$167$	140.070	−	140.070i	0.0649037	−	0.0649037i	0.738814	+	0.673910i	$0.235386\pi$
$168$	−96.0227	+	45.6223i	−0.0440971	+	0.0209514i
$169$	1006.04	−	1006.04i	0.457915	−	0.457915i
$170$	77.7218	−	207.097i	0.0350646	−	0.0934332i
$171$	1547.41	+	640.960i	0.692010	+	0.286640i
$172$	−293.155	−	1762.74i	−0.129959	−	0.781442i
$173$	1918.49	−	794.666i	0.843124	−	0.349233i	0.0810393	−	0.996711i	$-0.474176\pi$
$173$	1918.49	−	794.666i	0.843124	−	0.349233i	0.762084	+	0.647478i	$0.224176\pi$
$174$	242.611	+	134.641i	0.105703	+	0.0586617i
$175$	−1276.67	−	681.209i	−0.551471	−	0.294255i
$176$	848.157	−	747.342i	0.363252	−	0.320074i
$177$	148.395			0.0630174
$178$	−410.341	−	227.726i	−0.172789	−	0.0958923i
$179$	635.261	+	1533.65i	0.265260	+	0.640395i	0.999248	−	0.0387674i	$-0.0123431\pi$
$179$	635.261	+	1533.65i	0.265260	+	0.640395i	−0.733988	+	0.679163i	$0.762343\pi$
$180$	1555.65	+	1827.85i	0.644172	+	0.756887i
$181$	1059.98	+	439.060i	0.435293	+	0.180304i	0.589559	−	0.807725i	$-0.299301\pi$
$181$	1059.98	+	439.060i	0.435293	+	0.180304i	−0.154266	+	0.988029i	$0.549301\pi$
$182$	223.992	−	1957.18i	0.0912276	−	0.797121i
$183$	−69.6649	−	69.6649i	−0.0281409	−	0.0281409i
$184$	994.510	−	50.6118i	0.398458	−	0.0202780i
$185$	−3535.32	+	2120.73i	−1.40498	+	0.842806i
$186$	231.538	+	291.384i	0.0912751	+	0.114867i
$187$	−114.148	−	47.2818i	−0.0446383	−	0.0184898i
$188$	−2748.36	+	1713.51i	−1.06619	+	0.664739i
$189$	−233.679	+	96.7931i	−0.0899347	+	0.0372522i
$190$	−1972.60	+	66.4493i	−0.753196	+	0.0253723i
$191$	−3258.74			−1.23452			−0.617262	−	0.786758i	$-0.711758\pi$
$191$	−3258.74			−1.23452			−0.617262	+	0.786758i	$0.711758\pi$
$192$	−182.913	+	98.5984i	−0.0687532	+	0.0370611i
$193$		−	3037.57i		−	1.13290i	−0.824098	−	0.566448i	$-0.808317\pi$
$193$		−	3037.57i		−	1.13290i	0.824098	−	0.566448i	$-0.191683\pi$
$194$	−18.0676	−	63.1294i	−0.00668649	−	0.0233630i
$195$	270.029	−	40.1549i	0.0991650	−	0.0147464i
$196$	884.542	+	1418.75i	0.322355	+	0.517035i
$197$	−4657.46	−	1929.18i	−1.68442	−	0.697709i	−0.684897	−	0.728640i	$-0.740153\pi$
$197$	−4657.46	−	1929.18i	−1.68442	−	0.697709i	−0.999522	+	0.0309314i	$0.990153\pi$
$198$	1049.63	−	834.051i	0.376738	−	0.299361i
$199$	−993.987	−	993.987i	−0.354080	−	0.354080i	0.507545	−	0.861625i	$-0.330553\pi$
$199$	−993.987	−	993.987i	−0.354080	−	0.354080i	−0.861625	+	0.507545i	$0.830553\pi$
$200$	−2559.86	−	1202.95i	−0.905048	−	0.425309i
$201$	−232.209	+	232.209i	−0.0814863	+	0.0814863i
$202$	−106.412	+	929.801i	−0.0370651	+	0.323864i
$203$	−1070.81	+	2585.17i	−0.370228	+	0.893811i
$204$	18.4764	+	13.2072i	0.00634120	+	0.00453279i
$205$	66.9918	+	450.499i	0.0228240	+	0.153484i
$206$	−2081.31	+	3750.32i	−0.703940	+	1.26843i
$207$	1180.98			0.396540
$208$	242.819	−	3842.86i	0.0809446	−	1.28103i
$209$			1102.43i			0.364865i
$210$	101.460	−	108.534i	0.0333400	−	0.0356645i
$211$	−207.176	−	500.166i	−0.0675950	−	0.163189i	0.886472	−	0.462782i	$-0.153149\pi$
$211$	−207.176	−	500.166i	−0.0675950	−	0.163189i	−0.954067	+	0.299594i	$0.903149\pi$
$212$	446.695	+	2685.98i	0.144713	+	0.870160i
$213$	17.7241	−	42.7897i	0.00570157	−	0.0137648i
$214$	279.303	−	2440.47i	0.0892186	−	0.779567i
$215$	1284.67	+	2141.58i	0.407505	+	0.679323i
$216$	−446.548	+	212.164i	−0.140666	+	0.0668330i
$217$	−2653.96	+	2653.96i	−0.830242	+	0.830242i
$218$	1056.07	+	1329.04i	0.328102	+	0.412907i
$219$	88.9066	−	214.639i	0.0274326	−	0.0662283i
$220$	−719.675	+	1406.40i	−0.220548	+	0.430996i
$221$	−388.815	+	161.052i	−0.118346	+	0.0490206i
$222$	−116.467	−	406.942i	−0.0352105	−	0.123028i
$223$			1802.31i			0.541218i	0.962689	+	0.270609i	$0.0872251\pi$
$223$			1802.31i			0.541218i	−0.962689	+	0.270609i	$0.912775\pi$
$224$	−1197.63	−	1719.60i	−0.357231	−	0.512926i
$225$	−2959.47	−	1579.12i	−0.876880	−	0.467886i
$226$	2567.47	−	734.809i	0.755688	−	0.216278i
$227$	1048.26	+	2530.72i	0.306499	+	0.739954i	0.999813	+	0.0193185i	$0.00614966\pi$
$227$	1048.26	+	2530.72i	0.306499	+	0.739954i	−0.693315	+	0.720635i	$0.743850\pi$
$228$	45.7847	−	197.407i	0.0132990	−	0.0573404i
$229$	−1742.01	+	4205.59i	−0.502688	+	1.21360i	0.445327	+	0.895368i	$0.353088\pi$
$229$	−1742.01	+	4205.59i	−0.502688	+	1.21360i	−0.948014	+	0.318227i	$0.896912\pi$
$230$	−1267.08	+	575.554i	−0.363254	+	0.165004i
$231$	−58.6800	−	58.6800i	−0.0167137	−	0.0167137i
$232$	−1833.51	+	5152.88i	−0.518860	+	1.45820i
$233$	570.178	+	570.178i	0.160316	+	0.160316i	0.782707	−	0.622391i	$-0.213839\pi$
$233$	570.178	+	570.178i	0.160316	+	0.160316i	−0.622391	+	0.782707i	$0.713839\pi$
$234$	519.239	−	4536.96i	0.145059	−	1.26748i
$235$	2695.01	−	3636.54i	0.748097	−	1.00946i
$236$	479.876	+	2885.50i	0.132361	+	0.795890i
$237$	275.704	−	114.200i	0.0755650	−	0.0313001i
$238$	−111.140	+	200.264i	−0.0302695	+	0.0545428i
$239$			4426.38i			1.19799i	0.800754	+	0.598993i	$0.204432\pi$
$239$			4426.38i			1.19799i	−0.800754	+	0.598993i	$0.795568\pi$
$240$	187.277	−	221.948i	0.0503696	−	0.0596945i
$241$		−	5713.00i		−	1.52700i	−0.645809	−	0.763499i	$-0.723480\pi$
$241$		−	5713.00i		−	1.52700i	0.645809	−	0.763499i	$-0.276520\pi$
$242$	−2520.13	−	1398.59i	−0.669422	−	0.371508i
$243$	−813.370	+	336.909i	−0.214723	+	0.0889412i
$244$	1129.33	−	1579.89i	0.296303	−	0.414517i
$245$	−1877.24	−	1391.20i	−0.489520	−	0.362779i
$246$	−46.4593	−	5.31710i	−0.0120412	−	0.00137807i
$247$	2655.27	+	2655.27i	0.684012	+	0.684012i
$248$	−4917.13	+	5444.44i	−1.25902	+	1.39404i
$249$	352.188	+	352.188i	0.0896344	+	0.0896344i
$250$	3944.81	+	251.932i	0.997967	+	0.0637344i
$251$	−705.172	+	1702.44i	−0.177331	+	0.428115i	−0.987405	−	0.158213i	$-0.949427\pi$
$251$	−705.172	+	1702.44i	−0.177331	+	0.428115i	0.810074	+	0.586328i	$0.199427\pi$
$252$	−1314.85	−	2108.93i	−0.328682	−	0.527183i
$253$	297.470	+	718.155i	0.0739200	+	0.178459i
$254$	−1438.55	−	5026.40i	−0.355366	−	1.24167i
$255$	−30.7917	−	7.70107i	−0.00756176	−	0.00189121i
$256$	−2508.71	−	3237.84i	−0.612478	−	0.790488i
$257$		−	2806.74i		−	0.681243i	−0.940201	−	0.340621i	$-0.889363\pi$
$257$		−	2806.74i		−	0.681243i	0.940201	−	0.340621i	$-0.110637\pi$
$258$	−246.512	+	70.5517i	−0.0594852	+	0.0170246i
$259$	3943.72	−	1633.54i	0.946142	−	0.391905i
$260$	1654.01	+	5120.77i	0.394528	+	1.22145i
$261$	−2482.26	+	5992.71i	−0.588690	+	1.42122i
$262$	2697.22	−	2143.24i	0.636010	−	0.505382i
$263$	−4261.11	+	4261.11i	−0.999055	+	0.999055i	−1.00000		0.000944982i	$-0.999699\pi$
$263$	−4261.11	+	4261.11i	−0.999055	+	0.999055i	0.000944982		1.00000i	$0.499699\pi$
$264$	−120.378	−	108.719i	−0.0280635	−	0.0253455i
$265$	−1957.51	−	3263.23i	−0.453770	−	0.756448i
$266$	2030.38	+	232.369i	0.468009	+	0.0535619i
$267$	−25.7696	+	62.2133i	−0.00590664	+	0.0142599i
$268$	−5266.13	−	3764.31i	−1.20030	−	0.857993i
$269$	2655.71	+	6411.44i	0.601938	+	1.45321i	0.871584	+	0.490246i	$0.163093\pi$
$269$	2655.71	+	6411.44i	0.601938	+	1.45321i	−0.269646	+	0.962959i	$0.586907\pi$
$270$	471.834	−	504.731i	0.106352	−	0.113766i
$271$		−	3572.98i		−	0.800897i	−0.916319	−	0.400449i	$-0.868854\pi$
$271$		−	3572.98i		−	0.800897i	0.916319	−	0.400449i	$-0.131146\pi$
$272$	−197.061	+	401.976i	−0.0439286	+	0.0896079i
$273$	−282.668			−0.0626662
$274$	−1474.02	−	818.035i	−0.324996	−	0.180362i
$275$	214.821	−	2197.41i	0.0471061	−	0.481851i
$276$	−23.4410	−	140.951i	−0.00511225	−	0.0307400i
$277$	526.889	−	1272.02i	0.114288	−	0.275915i	−0.856377	−	0.516350i	$-0.827290\pi$
$277$	526.889	−	1272.02i	0.114288	−	0.275915i	0.970665	+	0.240435i	$0.0772902\pi$
$278$	1721.34	+	197.001i	0.371363	+	0.0425011i
$279$	−6152.17	+	6152.17i	−1.32015	+	1.32015i
$280$	2438.50	+	1621.88i	0.520458	+	0.346164i
$281$	109.510	+	109.510i	0.0232485	+	0.0232485i	0.718635	−	0.695387i	$-0.244767\pi$
$281$	109.510	+	109.510i	0.0232485	+	0.0232485i	−0.695387	+	0.718635i	$0.744767\pi$
$282$	289.117	+	363.847i	0.0610521	+	0.0768325i
$283$	4776.35	+	1978.43i	1.00327	+	0.415567i	0.822994	−	0.568050i	$-0.192302\pi$
$283$	4776.35	+	1978.43i	1.00327	+	0.415567i	0.180273	+	0.983617i	$0.442302\pi$
$284$	889.347	+	206.267i	0.185821	+	0.0430975i
$285$	41.6566	+	280.127i	0.00865798	+	0.0582222i
$286$	2889.72	−	827.038i	0.597457	−	0.170992i
$287$		−	471.586i		−	0.0969924i
$288$	−2776.23	−	3986.21i	−0.568023	−	0.815589i
$289$	−4864.07			−0.990041
$290$	−257.340	−	7639.33i	−0.0521087	−	1.54689i
$291$	−8.70488	+	3.60568i	−0.00175357	+	0.000726353i
$292$	4461.09	+	1034.66i	0.894061	+	0.207360i
$293$	−5880.40	−	2435.74i	−1.17248	−	0.485657i	−0.290468	−	0.956885i	$-0.593811\pi$
$293$	−5880.40	−	2435.74i	−1.17248	−	0.485657i	−0.882012	+	0.471228i	$0.843811\pi$
$294$	187.823	−	149.247i	0.0372588	−	0.0296063i
$295$	−2102.92	−	3505.63i	−0.415039	−	0.691883i
$296$	7536.23	−	3580.61i	1.47985	−	0.703105i
$297$	−272.888	−	272.888i	−0.0533150	−	0.0533150i
$298$	7217.42	+	826.007i	1.40300	+	0.160568i
$299$	2446.19	+	1013.25i	0.473134	+	0.195978i
$300$	−129.727	+	384.558i	−0.0249659	+	0.0740083i
$301$	−989.545	−	2388.97i	−0.189490	−	0.457469i
$302$	−1998.02	+	3600.24i	−0.380706	+	0.685996i
$303$	134.288			0.0254608
$304$	3986.57	+	251.900i	0.752123	+	0.0475245i
$305$	−658.509	+	2632.96i	−0.123627	+	0.494304i
$306$	−257.635	+	464.234i	−0.0481308	+	0.0867271i
$307$	−2472.13	+	1023.99i	−0.459582	+	0.190365i	−0.600448	−	0.799663i	$-0.705011\pi$
$307$	−2472.13	+	1023.99i	−0.459582	+	0.190365i	0.140866	+	0.990029i	$0.455011\pi$
$308$	951.255	−	1330.77i	0.175983	−	0.246194i
$309$	568.599	+	235.521i	0.104681	+	0.0433603i
$310$	3602.40	−	9598.96i	0.660009	−	1.75866i
$311$	5529.74	−	5529.74i	1.00824	−	1.00824i	0.00827558	−	0.999966i	$-0.497366\pi$
$311$	5529.74	−	5529.74i	1.00824	−	1.00824i	0.999966	−	0.00827558i	$-0.00263423\pi$
$312$	−551.796	+	28.0815i	−0.100126	+	0.00509553i
$313$	−433.439	+	433.439i	−0.0782729	+	0.0782729i	−0.745159	−	0.666886i	$-0.767627\pi$
$313$	−433.439	+	433.439i	−0.0782729	+	0.0782729i	0.666886	+	0.745159i	$0.267627\pi$
$314$	3690.92	+	4644.93i	0.663347	+	0.834805i
$315$	2790.47	+	2067.99i	0.499128	+	0.369899i
$316$	3112.15	+	4991.68i	0.554026	+	0.888619i
$317$	2053.68	+	4958.03i	0.363869	+	0.878456i	0.994727	+	0.102558i	$0.0327029\pi$
$317$	2053.68	+	4958.03i	0.363869	+	0.878456i	−0.630858	+	0.775898i	$0.717297\pi$
$318$	375.623	−	107.503i	0.0662386	−	0.0189575i
$319$	−4269.42			−0.749347
$320$	4921.31	+	2923.81i	0.859718	+	0.510769i
$321$	−352.468			−0.0612862
$322$	1385.34	−	396.485i	0.239758	−	0.0686188i
$323$	−167.075	−	403.355i	−0.0287812	−	0.0694839i
$324$	−3029.15	−	4858.54i	−0.519401	−	0.833083i
$325$	−4775.19	−	5810.01i	−0.815015	−	0.991635i
$326$	−5345.73	−	6727.46i	−0.908198	−	1.14294i
$327$	172.236	−	172.236i	0.0291275	−	0.0291275i
$328$	−46.8494	−	920.580i	−0.00788667	−	0.154971i
$329$	−3313.96	+	3313.96i	−0.555333	+	0.555333i
$330$	212.236	+	79.6503i	0.0354037	+	0.0132867i
$331$	−2684.19	−	1111.83i	−0.445730	−	0.184627i	0.148518	−	0.988910i	$-0.452550\pi$
$331$	−2684.19	−	1111.83i	−0.445730	−	0.184627i	−0.594247	+	0.804283i	$0.702550\pi$
$332$	−5709.27	+	7987.06i	−0.943787	+	1.32032i
$333$	9141.97	−	3786.73i	1.50443	−	0.623157i
$334$	271.875	−	489.894i	0.0445400	−	0.0802568i
$335$	8776.24	+	2194.96i	1.43134	+	0.357980i
$336$	−225.604	+	198.788i	−0.0366301	+	0.0322761i
$337$	5916.97			0.956433			0.478216	−	0.878242i	$-0.341283\pi$
$337$	5916.97			0.956433			0.478216	+	0.878242i	$0.341283\pi$
$338$	1952.72	−	3518.62i	0.314243	−	0.566236i
$339$	−146.643	−	354.027i	−0.0234942	−	0.0567201i
$340$	50.1716	−	623.637i	0.00800276	−	0.0994749i
$341$	−5290.78	−	2191.51i	−0.840210	−	0.348026i
$342$	4706.63	+	538.657i	0.744168	+	0.0851674i
$343$	4518.42	+	4518.42i	0.711288	+	0.711288i
$344$	−2169.02	−	4565.20i	−0.339958	−	0.715520i
$345$	102.723	+	171.243i	0.0160302	+	0.0267229i
$346$	4598.42	−	3653.96i	0.714487	−	0.567741i
$347$	8870.37	+	3674.23i	1.37230	+	0.568423i	0.942410	−	0.334460i	$-0.108554\pi$
$347$	8870.37	+	3674.23i	1.37230	+	0.568423i	0.429885	+	0.902884i	$0.358554\pi$
$348$	764.504	+	177.312i	0.117764	+	0.0273130i
$349$	4523.35	−	1873.63i	0.693780	−	0.287373i	−0.00779399	−	0.999970i	$-0.502481\pi$
$349$	4523.35	−	1873.63i	0.693780	−	0.287373i	0.701574	+	0.712596i	$0.252481\pi$
$350$	−4001.75	−	858.808i	−0.611150	−	0.131158i
$351$	−1314.53			−0.199899
$352$	1724.73	−	2692.29i	0.261161	−	0.407669i
$353$		−	5717.13i		−	0.862018i	−0.902348	−	0.431009i	$-0.858158\pi$
$353$		−	5717.13i		−	0.862018i	0.902348	−	0.431009i	$-0.141842\pi$
$354$	403.525	−	115.489i	0.0605850	−	0.0173394i
$355$	−1262.01	+	187.669i	−0.188678	+	0.0280575i
$356$	−1293.05	−	299.898i	−0.192504	−	0.0446476i
$357$	30.3627	+	12.5767i	0.00450131	+	0.00186450i
$358$	2921.00	+	3676.00i	0.431228	+	0.542689i
$359$	8158.62	+	8158.62i	1.19943	+	1.19943i	0.974337	+	0.225092i	$0.0722684\pi$
$359$	8158.62	+	8158.62i	1.19943	+	1.19943i	0.225092	+	0.974337i	$0.427732\pi$
$360$	5652.71	+	3759.70i	0.827567	+	0.550426i
$361$	2095.47	−	2095.47i	0.305507	−	0.305507i
$362$	3224.06	+	368.982i	0.468102	+	0.0535726i
$363$	−158.265	+	382.086i	−0.0228837	+	0.0552461i
$364$	−914.084	−	5496.39i	−0.131624	−	0.791454i
$365$	−6330.44	+	941.374i	−0.907810	+	0.134997i
$366$	−243.653	−	135.220i	−0.0347977	−	0.0193116i
$367$	378.023			0.0537673			0.0268837	−	0.999639i	$-0.491442\pi$
$367$	378.023			0.0537673			0.0268837	+	0.999639i	$0.491442\pi$
$368$	2664.93	−	911.603i	0.377498	−	0.129132i
$369$		−	1093.19i		−	0.154225i
$370$	−7962.97	+	8518.15i	−1.11885	+	1.19686i
$371$	1507.82	+	3640.20i	0.211003	+	0.509406i
$372$	856.379	+	612.153i	0.119358	+	0.0853189i
$373$	4755.38	−	11480.5i	0.660119	−	1.59367i	−0.137497	−	0.990502i	$-0.543906\pi$
$373$	4755.38	−	11480.5i	0.660119	−	1.59367i	0.797616	−	0.603166i	$-0.206094\pi$
$374$	−347.195	−	39.7353i	−0.0480028	−	0.00549375i
$375$	−28.4458	−	566.479i	−0.00391716	−	0.0780076i
$376$	−6139.94	+	6798.38i	−0.842136	+	0.932446i
$377$	−10283.2	+	10283.2i	−1.40480	+	1.40480i
$378$	−560.103	+	445.066i	−0.0762133	+	0.0605601i
$379$	3275.00	−	7906.55i	0.443867	−	1.07159i	−0.530714	−	0.847551i	$-0.678076\pi$
$379$	3275.00	−	7906.55i	0.443867	−	1.07159i	0.974580	−	0.224038i	$-0.0719240\pi$
$380$	−5312.28	+	1715.87i	−0.717142	+	0.231637i
$381$	−693.088	+	287.086i	−0.0931967	+	0.0386034i
$382$	−8861.33	+	2536.11i	−1.18687	+	0.339683i
$383$		−	14206.8i		−	1.89538i	−0.319188	−	0.947691i	$-0.603410\pi$
$383$		−	14206.8i		−	1.89538i	0.319188	−	0.947691i	$-0.396590\pi$
$384$	−420.652	+	410.466i	−0.0559019	+	0.0545482i
$385$	−554.674	+	2217.79i	−0.0734254	+	0.293581i
$386$	−2363.98	−	8259.91i	−0.311719	−	1.08917i
$387$	−2293.87	−	5537.90i	−0.301303	−	0.727409i
$388$	−98.2608	−	157.604i	−0.0128568	−	0.0206214i
$389$	788.251	−	1903.01i	0.102740	−	0.248037i	−0.864148	−	0.503238i	$-0.832142\pi$
$389$	788.251	−	1903.01i	0.102740	−	0.248037i	0.966888	+	0.255202i	$0.0821418\pi$
$390$	703.026	−	319.341i	0.0912798	−	0.0414627i
$391$	−217.675	−	217.675i	−0.0281542	−	0.0281542i
$392$	3509.43	+	3169.53i	0.452176	+	0.408381i
$393$	−349.545	−	349.545i	−0.0448657	−	0.0448657i
$394$	−14166.2	−	1621.27i	−1.81138	−	0.207306i
$395$	−6604.83	−	4894.77i	−0.841330	−	0.623501i
$396$	2205.11	−	3084.87i	0.279826	−	0.391466i
$397$	−6563.62	+	2718.74i	−0.829770	+	0.343702i	−0.756812	−	0.653633i	$-0.773244\pi$
$397$	−6563.62	+	2718.74i	−0.829770	+	0.343702i	−0.0729585	+	0.997335i	$0.523244\pi$
$398$	−3476.47	−	1929.33i	−0.437838	−	0.242986i
$399$		−	293.240i		−	0.0367928i
$400$	−7897.11	−	1278.92i	−0.987139	−	0.159865i
$401$			8252.03i			1.02765i	0.857896	+	0.513824i	$0.171771\pi$
$401$			8252.03i			1.02765i	−0.857896	+	0.513824i	$0.828229\pi$
$402$	−450.718	+	812.151i	−0.0559198	+	0.100762i
$403$	−18021.5	+	7464.77i	−2.22759	+	0.922696i
$404$	434.255	+	2611.18i	0.0534777	+	0.321562i
$405$	6428.67	+	4764.22i	0.788749	+	0.584534i
$406$	−899.903	+	7863.09i	−0.110003	+	0.961179i
$407$	4605.43	+	4605.43i	0.560891	+	0.560891i
$408$	60.5204	+	21.5345i	0.00734364	+	0.00261303i
$409$	1552.62	+	1552.62i	0.187706	+	0.187706i	0.794704	−	0.606997i	$-0.207626\pi$
$409$	1552.62	+	1552.62i	0.187706	+	0.187706i	−0.606997	+	0.794704i	$0.707626\pi$
$410$	532.768	+	1172.88i	0.0641745	+	0.141279i
$411$	−92.5691	+	223.482i	−0.0111097	+	0.0268212i
$412$	−2740.92	+	11817.8i	−0.327756	+	1.41316i
$413$	1619.82	+	3910.60i	0.192993	+	0.465927i
$414$	3211.38	−	919.096i	0.381234	−	0.109109i
$415$	3329.06	−	13310.8i	0.393776	−	1.57446i
$416$	−2330.41	−	10638.7i	−0.274659	−	1.25385i
$417$		−	248.606i		−	0.0291950i
$418$	857.967	+	2997.79i	0.100394	+	0.350782i
$419$	−11750.0	+	4867.01i	−1.36999	+	0.567468i	−0.941786	−	0.336214i	$-0.890854\pi$
$419$	−11750.0	+	4867.01i	−1.36999	+	0.567468i	−0.428204	+	0.903682i	$0.640854\pi$
$420$	191.429	−	374.092i	0.0222399	−	0.0434615i
$421$	3477.18	−	8394.66i	0.402536	−	0.971807i	−0.584513	−	0.811385i	$-0.698714\pi$
$421$	3477.18	−	8394.66i	0.402536	−	0.971807i	0.987048	−	0.160423i	$-0.0512857\pi$
$422$	−952.616	−	1198.84i	−0.109888	−	0.138291i
$423$	−7682.11	+	7682.11i	−0.883019	+	0.883019i
$424$	3305.04	+	6956.22i	0.378554	+	0.796755i
$425$	254.423	+	836.541i	0.0290384	+	0.0954781i
$426$	14.8952	−	130.150i	0.00169407	−	0.0148023i
$427$	1075.41	−	2596.28i	0.121880	−	0.294245i
$428$	−1139.80	−	6853.63i	−0.128725	−	0.774025i
$429$	−165.049	−	398.462i	−0.0185749	−	0.0448437i
$430$	5160.01	+	4823.70i	0.578693	+	0.540976i
$431$		−	7330.20i		−	0.819219i	−0.912261	−	0.409610i	$-0.865665\pi$
$431$		−	7330.20i		−	0.819219i	0.912261	−	0.409610i	$-0.134335\pi$
$432$	−1049.16	+	924.453i	−0.116847	+	0.102958i
$433$	13402.9			1.48753			0.743765	−	0.668441i	$-0.233038\pi$
$433$	13402.9			1.48753			0.743765	+	0.668441i	$0.233038\pi$
$434$	−5151.34	+	9282.23i	−0.569752	+	1.02664i
$435$	−1084.86	+	161.325i	−0.119575	+	0.0177814i
$436$	3906.04	+	2792.10i	0.429050	+	0.306691i
$437$	−1051.14	+	2537.68i	−0.115064	+	0.277788i
$438$	74.7163	−	652.850i	0.00815088	−	0.0712200i
$439$	11925.8	−	11925.8i	1.29655	−	1.29655i	0.365893	−	0.930657i	$-0.380764\pi$
$439$	11925.8	−	11925.8i	1.29655	−	1.29655i	0.930657	−	0.365893i	$-0.119236\pi$
$440$	−862.451	+	4384.43i	−0.0934448	+	0.475044i
$441$	3965.63	+	3965.63i	0.428207	+	0.428207i
$442$	−931.946	+	740.536i	−0.100290	+	0.0796917i
$443$	6233.97	+	2582.19i	0.668589	+	0.276939i	0.691048	−	0.722809i	$-0.257149\pi$
$443$	6233.97	+	2582.19i	0.668589	+	0.276939i	−0.0224589	+	0.999748i	$0.507149\pi$
$444$	−633.405	−	1015.94i	−0.0677029	−	0.108591i
$445$	1834.88	−	272.858i	0.195465	−	0.0290667i
$446$	1402.65	+	4900.94i	0.148918	+	0.520327i
$447$		−	1042.38i		−	0.110298i
$448$	−4594.92	−	3743.96i	−0.484575	−	0.394834i
$449$	577.190			0.0606665			0.0303333	−	0.999540i	$-0.490343\pi$
$449$	577.190			0.0606665			0.0303333	+	0.999540i	$0.490343\pi$
$450$	−9276.49	−	1990.81i	−0.971773	−	0.208550i
$451$	664.769	−	275.356i	0.0694074	−	0.0287495i
$452$	6409.72	−	3996.26i	0.667009	−	0.415859i
$453$	545.845	+	226.097i	0.0566138	+	0.0234502i
$454$	4820.00	+	6065.85i	0.498268	+	0.627058i
$455$	4005.71	+	6677.63i	0.412726	+	0.688027i
$456$	−29.1317	−	572.431i	−0.00299171	−	0.0587863i
$457$	−6069.59	−	6069.59i	−0.621276	−	0.621276i	0.324581	−	0.945858i	$-0.394777\pi$
$457$	−6069.59	−	6069.59i	−0.621276	−	0.621276i	−0.945858	+	0.324581i	$0.894777\pi$
$458$	−1463.97	+	12791.8i	−0.149360	+	1.30507i
$459$	141.200	+	58.4871i	0.0143587	+	0.00594759i
$460$	−2997.57	+	2551.18i	−0.303832	+	0.258585i
$461$	−3743.29	−	9037.09i	−0.378183	−	0.913014i	−0.992307	−	0.123804i	$-0.960491\pi$
$461$	−3743.29	−	9037.09i	−0.378183	−	0.913014i	0.614124	−	0.789210i	$-0.289509\pi$
$462$	−205.233	−	113.898i	−0.0206673	−	0.0114697i
$463$	−17095.0			−1.71592			−0.857960	−	0.513717i	$-0.828268\pi$
$463$	−17095.0			−1.71592			−0.857960	+	0.513717i	$0.828268\pi$
$464$	−975.540	+	15438.9i	−0.0976041	+	1.54468i
$465$	−1427.19	−	356.944i	−0.142332	−	0.0355976i
$466$	1994.20	+	1106.72i	0.198239	+	0.110016i
$467$	−2292.43	+	949.557i	−0.227155	+	0.0940905i	−0.493358	−	0.869826i	$-0.664231\pi$
$467$	−2292.43	+	949.557i	−0.227155	+	0.0940905i	0.266203	+	0.963917i	$0.414231\pi$
$468$	−2118.95	−	12741.2i	−0.209291	−	1.25847i
$469$	−8653.99	−	3584.60i	−0.852034	−	0.352924i
$470$	4498.26	−	11986.1i	0.441467	−	1.17633i
$471$	601.958	−	601.958i	0.0588891	−	0.0588891i
$472$	3550.54	+	7472.93i	0.346244	+	0.728749i
$473$	2789.82	−	2789.82i	0.271196	−	0.271196i
$474$	660.832	−	525.106i	0.0640359	−	0.0508838i
$475$	6027.29	−	4953.77i	0.582213	−	0.478515i
$476$	−146.363	+	631.063i	−0.0140935	+	0.0607662i
$477$	3495.29	+	8438.38i	0.335510	+	0.809993i
$478$	3444.83	+	12036.4i	0.329629	+	1.15174i
$479$	2658.72			0.253611			0.126806	−	0.991928i	$-0.459528\pi$
$479$	2658.72			0.253611			0.126806	+	0.991928i	$0.459528\pi$
$480$	336.523	−	749.280i	0.0320002	−	0.0712496i
$481$	22184.9			2.10300
$482$	−4446.14	−	15535.1i	−0.420158	−	1.46806i
$483$	−79.1249	−	191.025i	−0.00745406	−	0.0179957i
$484$	−7941.33	−	1841.84i	−0.745805	−	0.172975i
$485$	208.536	+	154.544i	0.0195240	+	0.0144690i
$486$	−1949.56	+	1549.14i	−0.181962	+	0.144590i
$487$	−7016.26	+	7016.26i	−0.652848	+	0.652848i	−0.953678	−	0.300830i	$-0.902736\pi$
$487$	−7016.26	+	7016.26i	−0.652848	+	0.652848i	0.300830	+	0.953678i	$0.402736\pi$
$488$	1841.38	−	5175.02i	0.170811	−	0.480045i
$489$	−871.842	+	871.842i	−0.0806259	+	0.0806259i
$490$	−6187.39	−	2322.07i	−0.570445	−	0.214083i
$491$	1448.58	+	600.022i	0.133144	+	0.0551499i	0.448261	−	0.893903i	$-0.352044\pi$
$491$	1448.58	+	600.022i	0.133144	+	0.0551499i	−0.315117	+	0.949053i	$0.602044\pi$
$492$	−130.473	+	21.6984i	−0.0119556	+	0.00198829i
$493$	1562.09	−	647.037i	0.142703	−	0.0591097i
$494$	9286.82	+	5153.89i	0.845818	+	0.469402i
$495$	−1285.79	+	5141.07i	−0.116752	+	0.466816i
$496$	−9133.77	+	18631.5i	−0.826852	+	1.68666i
$497$	1321.09			0.119233
$498$	1231.78	+	683.597i	0.110838	+	0.0615115i
$499$	3037.27	+	7332.63i	0.272479	+	0.657823i	0.999588	−	0.0286994i	$-0.00913657\pi$
$499$	3037.27	+	7332.63i	0.272479	+	0.657823i	−0.727109	+	0.686522i	$0.759137\pi$
$500$	10923.0	−	2384.98i	0.976983	−	0.213319i
$501$	−74.2745	−	30.7655i	−0.00662343	−	0.00274352i
$502$	−592.621	+	5178.15i	−0.0526892	+	0.460383i
$503$	−4863.42	−	4863.42i	−0.431111	−	0.431111i	0.457895	−	0.889006i	$-0.348604\pi$
$503$	−4863.42	−	4863.42i	−0.431111	−	0.431111i	−0.889006	+	0.457895i	$0.848604\pi$
$504$	−5216.69	−	4711.43i	−0.461051	−	0.416397i
$505$	−1903.00	−	3172.35i	−0.167687	−	0.279540i
$506$	1367.80	+	1721.34i	0.120170	+	0.151231i
$507$	−533.471	−	220.971i	−0.0467303	−	0.0193563i
$508$	−7823.58	−	12548.5i	−0.683298	−	1.09596i
$509$	7097.77	−	2939.99i	0.618081	−	0.256018i	−0.0515983	−	0.998668i	$-0.516432\pi$
$509$	7097.77	−	2939.99i	0.618081	−	0.256018i	0.669679	+	0.742650i	$0.266432\pi$
$510$	−89.7236	+	3.02244i	−0.00779025	+	0.000262424i
$511$	6626.76			0.573680
$512$	−9341.66	−	6852.09i	−0.806342	−	0.591450i
$513$		−	1363.69i		−	0.117366i
$514$	−2184.34	−	7632.22i	−0.187446	−	0.654947i
$515$	−2493.78	−	16769.9i	−0.213377	−	1.43489i
$516$	−615.422	+	383.696i	−0.0525047	+	0.0327350i
$517$	−6606.51	−	2736.50i	−0.562000	−	0.232788i
$518$	9452.66	−	7511.21i	0.801788	−	0.637111i
$519$	−595.930	−	595.930i	−0.0504016	−	0.0504016i
$520$	8482.90	+	12637.4i	0.715384	+	1.06575i
$521$	2532.56	−	2532.56i	0.212962	−	0.212962i	−0.592562	−	0.805525i	$-0.701884\pi$
$521$	2532.56	−	2532.56i	0.212962	−	0.212962i	0.805525	+	0.592562i	$0.201884\pi$
$522$	−2086.07	+	18227.5i	−0.174914	+	1.52835i
$523$	−835.201	+	2016.35i	−0.0698294	+	0.168583i	−0.954941	−	0.296796i	$-0.904082\pi$
$523$	−835.201	+	2016.35i	−0.0698294	+	0.168583i	0.885112	+	0.465379i	$0.154082\pi$
$524$	5666.43	−	7927.13i	0.472403	−	0.660874i
$525$	−57.1409	+	584.497i	−0.00475016	+	0.0485896i
$526$	−8270.83	+	14903.2i	−0.685599	+	1.23538i
$527$	2267.90			0.187460
$528$	−411.950	−	201.951i	−0.0339542	−	0.0166454i
$529$		−	10230.3i		−	0.840820i
$530$	−7862.58	−	7350.12i	−0.644393	−	0.602394i
$531$	3754.92	+	9065.19i	0.306873	+	0.740858i
$532$	5701.94	−	948.269i	0.464682	−	0.0772794i
$533$	937.923	−	2264.35i	0.0762213	−	0.184015i
$534$	−21.6565	+	189.229i	−0.00175500	+	0.0153347i
$535$	4994.84	+	8326.56i	0.403637	+	0.672876i
$536$	−17249.5	−	6137.75i	−1.39005	−	0.494609i
$537$	476.390	−	476.390i	0.0382826	−	0.0382826i
$538$	12211.2	+	15367.5i	0.978557	+	1.23149i
$539$	−1412.63	+	3410.38i	−0.112887	+	0.272533i
$540$	890.229	−	1739.69i	0.0709433	−	0.138638i
$541$	−14557.9	+	6030.09i	−1.15692	+	0.479213i	−0.876849	−	0.480766i	$-0.840359\pi$
$541$	−14557.9	+	6030.09i	−1.15692	+	0.479213i	−0.280073	+	0.959979i	$0.590359\pi$
$542$	−2780.67	−	9715.83i	−0.220369	−	0.769983i
$543$		−	465.639i		−	0.0368002i
$544$	−223.021	+	1246.44i	−0.0175771	+	0.0982361i
$545$	−6509.59	−	1628.07i	−0.511634	−	0.127961i
$546$	−768.647	+	219.987i	−0.0602473	+	0.0172428i
$547$	1956.68	+	4723.85i	0.152946	+	0.369245i	0.981718	−	0.190342i	$-0.0609597\pi$
$547$	1956.68	+	4723.85i	0.152946	+	0.369245i	−0.828772	+	0.559587i	$0.810960\pi$
$548$	−4644.87	−	1077.29i	−0.362078	−	0.0839770i
$549$	2492.93	−	6018.46i	0.193799	−	0.467872i
$550$	−1125.98	−	6142.50i	−0.0872947	−	0.476213i
$551$	−10667.7	−	10667.7i	−0.824792	−	0.824792i
$552$	−173.437	−	365.037i	−0.0133731	−	0.0281468i
$553$	6018.94	+	6018.94i	0.462841	+	0.462841i
$554$	442.793	−	3869.00i	0.0339576	−	0.296712i
$555$	1344.26	+	996.216i	0.102812	+	0.0761928i
$556$	4834.06	−	803.935i	0.368723	−	0.0613209i
$557$	10991.0	−	4552.64i	0.836096	−	0.346322i	0.0767830	−	0.997048i	$-0.475535\pi$
$557$	10991.0	−	4552.64i	0.836096	−	0.346322i	0.759313	+	0.650725i	$0.225535\pi$
$558$	−11941.4	+	21517.2i	−0.905947	+	1.63243i
$559$		−	13438.9i		−	1.01682i
$560$	7893.13	+	2512.54i	0.595617	+	0.189597i
$561$			50.1441i			0.00377377i
$562$	383.012	+	212.560i	0.0287480	+	0.0159542i
$563$	−3186.17	+	1319.76i	−0.238510	+	0.0987941i	−0.498737	−	0.866753i	$-0.666203\pi$
$563$	−3186.17	+	1319.76i	−0.238510	+	0.0987941i	0.260227	+	0.965547i	$0.416203\pi$
$564$	1069.35	+	764.385i	0.0798361	+	0.0570681i
$565$	−6285.30	+	8481.15i	−0.468008	+	0.631513i
$566$	14527.8	+	1662.65i	1.07889	+	0.123474i
$567$	−5858.41	−	5858.41i	−0.433915	−	0.433915i
$568$	2578.89	−	131.243i	0.190506	−	0.00969510i
$569$	8172.00	+	8172.00i	0.602088	+	0.602088i	0.940866	−	0.338778i	$-0.110014\pi$
$569$	8172.00	+	8172.00i	0.602088	+	0.602088i	−0.338778	+	0.940866i	$0.610014\pi$
$570$	331.284	+	729.318i	0.0243438	+	0.0535926i
$571$	−9476.92	+	22879.3i	−0.694565	+	1.67683i	0.0408094	+	0.999167i	$0.487006\pi$
$571$	−9476.92	+	22879.3i	−0.694565	+	1.67683i	−0.735374	+	0.677661i	$0.762994\pi$
$572$	7214.24	−	4497.85i	0.527347	−	0.328784i
$573$	506.121	+	1221.89i	0.0368997	+	0.0890838i
$574$	−367.011	−	1282.36i	−0.0266877	−	0.0932486i
$575$	2589.67	−	4853.37i	0.187820	−	0.351999i
$576$	−10651.5	−	8678.91i	−0.770509	−	0.627815i
$577$		−	1367.83i		−	0.0986886i	−0.998782	−	0.0493443i	$-0.984287\pi$
$577$		−	1367.83i		−	0.0986886i	0.998782	−	0.0493443i	$-0.0157132\pi$
$578$	−13226.6	+	3785.46i	−0.951826	+	0.272412i
$579$	−1138.95	+	471.771i	−0.0817502	+	0.0338620i
$580$	−6645.08	−	20573.0i	−0.475727	−	1.47284i
$581$	−5436.70	+	13125.4i	−0.388214	+	0.937232i
$582$	−20.8647	+	16.5793i	−0.00148603	+	0.00118082i
$583$	−4250.98	+	4250.98i	−0.301986	+	0.301986i
$584$	12936.1	−	658.332i	0.916606	−	0.0466472i
$585$	9285.66	+	15479.5i	0.656265	+	1.09401i
$586$	−17885.9	−	2046.98i	−1.26085	−	0.144300i
$587$	7527.88	−	18173.9i	0.529316	−	1.27788i	−0.402655	−	0.915352i	$-0.631913\pi$
$587$	7527.88	−	18173.9i	0.529316	−	1.27788i	0.931972	−	0.362531i	$-0.118087\pi$
$588$	394.588	−	552.013i	0.0276743	−	0.0387154i
$589$	−7743.93	−	18695.5i	−0.541737	−	1.30787i
$590$	−8446.61	−	7896.09i	−0.589393	−	0.550978i
$591$			2045.97i			0.142403i
$592$	17706.3	−	15601.7i	1.22926	−	1.08315i
$593$	15750.7			1.09073			0.545365	−	0.838199i	$-0.316391\pi$
$593$	15750.7			1.09073			0.545365	+	0.838199i	$0.316391\pi$
$594$	−954.426	−	529.676i	−0.0659269	−	0.0365873i
$595$	−133.166	−	895.500i	−0.00917525	−	0.0617007i
$596$	20268.8	−	3370.83i	1.39302	−	0.231669i
$597$	−218.324	+	527.080i	−0.0149672	+	0.0361339i
$598$	7440.37	+	851.524i	0.508795	+	0.0582298i
$599$	−2239.95	+	2239.95i	−0.152791	+	0.152791i	−0.779363	−	0.626572i	$-0.784457\pi$
$599$	−2239.95	+	2239.95i	−0.152791	+	0.152791i	0.626572	+	0.779363i	$0.284457\pi$
$600$	−53.4778	+	1146.67i	−0.00363871	+	0.0780210i
$601$	13502.0	+	13502.0i	0.916400	+	0.916400i	0.996765	−	0.0803655i	$-0.0256087\pi$
$601$	13502.0	+	13502.0i	0.916400	+	0.916400i	−0.0803655	+	0.996765i	$0.525609\pi$
$602$	−4550.04	−	5726.11i	−0.308049	−	0.387672i
$603$	−20060.9	−	8309.49i	−1.35480	−	0.561175i
$604$	−2631.23	+	11344.9i	−0.177257	+	0.764269i
$605$	11269.0	−	1675.77i	0.757274	−	0.112611i
$606$	365.162	−	104.509i	0.0244780	−	0.00700561i
$607$		−	17139.1i		−	1.14605i	−0.819537	−	0.573026i	$-0.805769\pi$
$607$		−	17139.1i		−	1.14605i	0.819537	−	0.573026i	$-0.194231\pi$
$608$	11036.5	−	2417.57i	0.736168	−	0.161259i
$609$	1135.64			0.0755638
$610$	258.445	+	7672.15i	0.0171543	+	0.509240i
$611$	−22503.2	+	9321.13i	−1.48999	+	0.617173i
$612$	−339.285	+	1462.87i	−0.0224098	+	0.0966227i
$613$	25293.4	+	10476.9i	1.66654	+	0.690304i	0.998548	−	0.0538627i	$-0.0171533\pi$
$613$	25293.4	+	10476.9i	1.66654	+	0.690304i	0.667994	+	0.744167i	$0.267153\pi$
$614$	−5925.42	+	4708.41i	−0.389463	+	0.309472i
$615$	158.513	−	95.0869i	0.0103933	−	0.00623459i
$616$	1551.03	−	4359.01i	0.101449	−	0.285113i
$617$	7265.90	+	7265.90i	0.474091	+	0.474091i	0.903236	−	0.429145i	$-0.141185\pi$
$617$	7265.90	+	7265.90i	0.474091	+	0.474091i	−0.429145	+	0.903236i	$0.641185\pi$
$618$	1729.46	+	197.930i	0.112571	+	0.0128834i
$619$	−22450.9	−	9299.47i	−1.45780	−	0.603841i	−0.493760	−	0.869598i	$-0.664378\pi$
$619$	−22450.9	−	9299.47i	−1.45780	−	0.603841i	−0.964040	+	0.265758i	$0.914378\pi$
$620$	2325.45	−	28905.5i	0.150633	−	1.87238i
$621$	−367.966	−	888.349i	−0.0237777	−	0.0574046i
$622$	10733.2	−	19340.3i	0.691903	−	1.24674i
$623$	−1920.77			−0.123522
$624$	−1478.62	+	505.795i	−0.0948590	+	0.0324487i
$625$	−12979.1	+	8699.58i	−0.830665	+	0.556773i
$626$	−841.305	+	1515.95i	−0.0537146	+	0.0967885i
$627$	413.364	−	171.221i	0.0263288	−	0.0109058i
$628$	13651.5	+	9758.28i	0.867441	+	0.620060i
$629$	−2382.98	−	987.064i	−0.151059	−	0.0625705i
$630$	9197.41	+	3451.70i	0.581641	+	0.218284i
$631$	8653.33	−	8653.33i	0.545933	−	0.545933i	−0.379329	−	0.925262i	$-0.623845\pi$
$631$	8653.33	−	8653.33i	0.545933	−	0.545933i	0.925262	+	0.379329i	$0.123845\pi$
$632$	12347.5	+	11151.6i	0.777147	+	0.701877i
$633$	−155.364	+	155.364i	−0.00975537	+	0.00975537i
$634$	9443.06	+	11883.9i	0.591533	+	0.744429i
$635$	16603.8	+	12304.9i	1.03764	+	0.768983i
$636$	937.749	−	584.657i	0.0584657	−	0.0364515i
$637$	4811.71	+	11616.5i	0.299289	+	0.722547i
$638$	−11609.6	+	3322.67i	−0.720422	+	0.206185i
$639$	3062.42			0.189589
$640$	15657.7	+	4120.58i	0.967073	+	0.254500i
$641$	−8111.41			−0.499815			−0.249908	−	0.968270i	$-0.580400\pi$
$641$	−8111.41			−0.499815			−0.249908	+	0.968270i	$0.580400\pi$
$642$	−958.450	+	274.308i	−0.0589206	+	0.0168631i
$643$	2005.56	+	4841.85i	0.123004	+	0.296958i	0.973372	−	0.229230i	$-0.0736209\pi$
$643$	2005.56	+	4841.85i	0.123004	+	0.296958i	−0.850368	+	0.526188i	$0.823621\pi$
$644$	3458.54	−	2156.29i	0.211623	−	0.131940i
$645$	603.475	−	814.307i	0.0368400	−	0.0497106i
$646$	−768.231	−	966.798i	−0.0467889	−	0.0588826i
$647$	21480.3	−	21480.3i	1.30522	−	1.30522i	0.380399	−	0.924822i	$-0.375787\pi$
$647$	21480.3	−	21480.3i	1.30522	−	1.30522i	0.924822	−	0.380399i	$-0.124213\pi$
$648$	−12018.2	−	10854.2i	−0.728577	−	0.658012i
$649$	−4566.75	+	4566.75i	−0.276211	+	0.276211i
$650$	−17506.6	−	12082.6i	−1.05641	−	0.729105i
$651$	1407.31	+	582.927i	0.0847264	+	0.0350948i
$652$	−19772.0	−	14133.3i	−1.18763	−	0.848933i
$653$	−5106.75	+	2115.29i	−0.306038	+	0.126765i	−0.530417	−	0.847737i	$-0.677965\pi$
$653$	−5106.75	+	2115.29i	−0.306038	+	0.126765i	0.224379	+	0.974502i	$0.427965\pi$
$654$	334.311	−	602.396i	0.0199887	−	0.0360177i
$655$	−3304.08	+	13210.9i	−0.197101	+	0.788081i
$656$	−843.836	−	2466.83i	−0.0502230	−	0.146819i
$657$	15361.5			0.912193
$658$	−6432.40	+	11590.6i	−0.381096	+	0.686698i
$659$	−11244.3	−	27146.1i	−0.664666	−	1.60465i	−0.790406	−	0.612583i	$-0.790131\pi$
$659$	−11244.3	−	27146.1i	−0.664666	−	1.60465i	0.125740	−	0.992063i	$-0.459869\pi$
$660$	639.111	+	51.4165i	0.0376930	+	0.00303240i
$661$	−24419.8	−	10115.0i	−1.43694	−	0.595202i	−0.477888	−	0.878421i	$-0.658598\pi$
$661$	−24419.8	−	10115.0i	−1.43694	−	0.595202i	−0.959055	+	0.283219i	$0.908598\pi$
$662$	−8164.27	−	934.371i	−0.479325	−	0.0548570i
$663$	120.775	+	120.775i	0.00707469	+	0.00707469i
$664$	−9309.03	+	26162.1i	−0.544067	+	1.52904i
$665$	−6927.36	+	4155.51i	−0.403957	+	0.242321i
$666$	21912.3	−	17411.8i	1.27490	−	1.01305i
$667$	−9827.73	−	4070.78i	−0.570511	−	0.236314i
$668$	358.038	−	1543.73i	0.0207379	−	0.0894143i
$669$	675.788	−	279.920i	0.0390545	−	0.0161769i
$670$	25573.0	−	861.457i	1.47459	−	0.0496731i
$671$	4287.76			0.246687
$672$	−458.768	+	716.131i	−0.0263354	+	0.0411092i
$673$			1877.87i			0.107558i	0.998553	+	0.0537790i	$0.0171266\pi$
$673$			1877.87i			0.107558i	−0.998553	+	0.0537790i	$0.982873\pi$
$674$	16089.7	−	4604.88i	0.919515	−	0.263165i
$675$	−265.730	+	2718.17i	−0.0151525	+	0.154996i
$676$	2571.58	−	11087.7i	0.146312	−	0.630845i
$677$	−25019.3	−	10363.3i	−1.42034	−	0.588324i	−0.465394	−	0.885103i	$-0.654087\pi$
$677$	−25019.3	−	10363.3i	−1.42034	−	0.588324i	−0.954946	+	0.296779i	$0.904087\pi$
$678$	−674.280	−	848.564i	−0.0381940	−	0.0480662i
$679$	−190.038	−	190.038i	−0.0107408	−	0.0107408i
$680$	−348.916	−	1734.87i	−0.0196769	−	0.0978372i
$681$	786.101	−	786.101i	0.0442341	−	0.0442341i
$682$	−16092.5	−	1841.73i	−0.903539	−	0.103407i
$683$	−1363.88	+	3292.70i	−0.0764092	+	0.184468i	−0.957469	−	0.288538i	$-0.906831\pi$
$683$	−1363.88	+	3292.70i	−0.0764092	+	0.184468i	0.881059	+	0.473006i	$0.156831\pi$
$684$	13217.7	−	2198.19i	0.738878	−	0.122880i
$685$	6591.23	−	980.154i	0.367647	−	0.0546712i
$686$	15803.2	+	8770.27i	0.879546	+	0.488120i
$687$	1847.47			0.102599
$688$	−9450.96	−	10725.9i	−0.523713	−	0.594361i
$689$			20477.5i			1.13227i
$690$	412.600	+	385.708i	0.0227643	+	0.0212806i
$691$	8082.22	+	19512.2i	0.444952	+	1.07421i	0.974189	+	0.225735i	$0.0724784\pi$
$691$	8082.22	+	19512.2i	0.444952	+	1.07421i	−0.529236	+	0.848474i	$0.677522\pi$
$692$	9660.56	−	13514.8i	0.530693	−	0.742419i
$693$	2099.84	−	5069.45i	0.115103	−	0.277882i
$694$	26980.2	+	3087.79i	1.47573	+	0.168892i
$695$	−5872.96	+	3523.01i	−0.320538	+	0.192281i
$696$	2216.87	−	112.819i	0.120733	−	0.00614426i
$697$	−201.493	+	201.493i	−0.0109499	+	0.0109499i
$698$	10842.0	−	8615.17i	0.587929	−	0.467176i
$699$	125.236	−	302.347i	0.00677664	−	0.0163603i
$700$	−11550.1	+	779.043i	−0.623648	+	0.0420644i
$701$	−3951.37	+	1636.71i	−0.212898	+	0.0881851i	−0.486584	−	0.873634i	$-0.661757\pi$
$701$	−3951.37	+	1636.71i	−0.212898	+	0.0881851i	0.273686	+	0.961819i	$0.411757\pi$
$702$	−3574.55	+	1023.04i	−0.192183	+	0.0550028i
$703$			23014.6i			1.23472i
$704$	2594.71	−	8663.29i	0.138909	−	0.463792i
$705$	−1782.11	−	445.711i	−0.0952031	−	0.0238105i
$706$	−4449.35	−	15546.3i	−0.237186	−	0.828744i
$707$	1465.83	+	3538.82i	0.0779747	+	0.188248i
$708$	1007.41	−	628.085i	0.0534755	−	0.0333402i
$709$	8029.82	−	19385.7i	0.425340	−	1.02686i	−0.555406	−	0.831579i	$-0.687437\pi$
$709$	8029.82	−	19385.7i	0.425340	−	1.02686i	0.980747	−	0.195284i	$-0.0625627\pi$
$710$	−3285.68	+	1492.48i	−0.173675	+	0.0788898i
$711$	13952.6	+	13952.6i	0.735952	+	0.735952i
$712$	−3749.52	+	190.818i	−0.197359	+	0.0100438i
$713$	−10089.2	−	10089.2i	−0.529936	−	0.529936i
$714$	92.3517	+	10.5693i	0.00484058	+	0.000553987i
$715$	−7074.19	+	9545.66i	−0.370014	+	0.499283i
$716$	10803.8	+	7722.71i	0.563905	+	0.403088i
$717$	1659.70	−	687.470i	0.0864471	−	0.0358076i
$718$	28534.8	+	15835.9i	1.48316	+	0.823106i
$719$			7762.84i			0.402650i	0.979525	+	0.201325i	$0.0645247\pi$
$719$			7762.84i			0.402650i	−0.979525	+	0.201325i	$0.935475\pi$
$720$	18297.1	+	5824.34i	0.947075	+	0.301473i
$721$			17554.9i			0.906765i
$722$	4067.31	−	7328.91i	0.209653	−	0.377775i
$723$	−2142.12	+	887.297i	−0.110189	+	0.0456417i
$724$	9054.20	−	1505.77i	0.464774	−	0.0772948i
$725$	19184.6	+	23342.1i	0.982757	+	1.19573i
$726$	−133.005	+	1162.16i	−0.00679927	+	0.0594101i
$727$	−21492.6	−	21492.6i	−1.09645	−	1.09645i	−0.994823	−	0.101623i	$-0.967596\pi$
$727$	−21492.6	−	21492.6i	−1.09645	−	1.09645i	−0.101623	−	0.994823i	$-0.532404\pi$
$728$	−6763.19	−	14234.7i	−0.344314	−	0.724688i
$729$	−13411.1	−	13411.1i	−0.681356	−	0.681356i
$730$	−16481.4	+	7486.50i	−0.835624	+	0.379572i
$731$	−597.931	+	1443.53i	−0.0302534	+	0.0730383i
$732$	−767.788	−	178.074i	−0.0387681	−	0.00899152i
$733$	4341.79	+	10482.0i	0.218783	+	0.528188i	0.994721	−	0.102621i	$-0.0327229\pi$
$733$	4341.79	+	10482.0i	0.218783	+	0.528188i	−0.775938	+	0.630809i	$0.782723\pi$
$734$	1027.94	−	294.196i	0.0516920	−	0.0147942i
$735$	−230.083	+	919.954i	−0.0115466	+	0.0461674i
$736$	6537.17	−	4552.86i	0.327396	−	0.228017i
$737$		−	14292.1i		−	0.714322i
$738$	−850.772	−	2972.65i	−0.0424354	−	0.148272i
$739$	−11952.7	+	4950.98i	−0.594977	+	0.246448i	−0.659790	−	0.751450i	$-0.729355\pi$
$739$	−11952.7	+	4950.98i	−0.594977	+	0.246448i	0.0648132	+	0.997897i	$0.479355\pi$
$740$	−15024.1	+	29360.2i	−0.746346	+	1.45852i
$741$	583.216	−	1408.01i	0.0289136	−	0.0698036i
$742$	6933.12	+	8725.16i	0.343023	+	0.431685i
$743$	3345.98	−	3345.98i	0.165211	−	0.165211i	−0.619659	−	0.784871i	$-0.712729\pi$
$743$	3345.98	−	3345.98i	0.165211	−	0.165211i	0.784871	+	0.619659i	$0.212729\pi$
$744$	2805.12	+	998.121i	0.138227	+	0.0491840i
$745$	−24624.8	+	14771.7i	−1.21098	+	0.726432i
$746$	3996.38	−	34919.3i	0.196137	−	1.71379i
$747$	−12602.9	+	30426.0i	−0.617289	+	1.49027i
$748$	−975.036	+	162.154i	−0.0476615	+	0.00792641i
$749$	−3847.40	−	9288.43i	−0.187691	−	0.453127i
$750$	−518.213	−	1518.26i	−0.0252299	−	0.0739187i
$751$		−	24527.0i		−	1.19175i	−0.803077	−	0.595875i	$-0.796805\pi$
$751$		−	24527.0i		−	1.19175i	0.803077	−	0.595875i	$-0.203195\pi$
$752$	−11405.2	+	23264.9i	−0.553065	+	1.12817i
$753$	747.861			0.0361933
$754$	−19959.6	+	35965.3i	−0.964041	+	1.73711i
$755$	−2393.99	−	16098.8i	−0.115399	−	0.776022i
$756$	−1176.69	+	1646.15i	−0.0566082	+	0.0791928i
$757$	6348.46	−	15326.5i	0.304807	−	0.735869i	−0.695050	−	0.718961i	$-0.744618\pi$
$757$	6348.46	−	15326.5i	0.304807	−	0.735869i	0.999857	−	0.0169078i	$-0.00538217\pi$
$758$	2752.28	−	24048.7i	0.131883	−	1.15236i
$759$	223.076	−	223.076i	0.0106682	−	0.0106682i
$760$	−13110.0	+	8800.14i	−0.625725	+	0.420019i
$761$	14406.9	+	14406.9i	0.686269	+	0.686269i	0.961405	−	0.275136i	$-0.0887230\pi$
$761$	14406.9	+	14406.9i	0.686269	+	0.686269i	−0.275136	+	0.961405i	$0.588723\pi$
$762$	−1661.26	+	1320.05i	−0.0789776	+	0.0627566i
$763$	6418.92	+	2658.80i	0.304561	+	0.126153i
$764$	−22122.5	+	13792.7i	−1.04760	+	0.653142i
$765$	−308.693	−	2075.87i	−0.0145893	−	0.0981086i
$766$	−11056.4	−	38631.8i	−0.521520	−	1.82222i
$767$			21998.6i			1.03562i
$768$	−824.415	+	1443.53i	−0.0387350	+	0.0678242i
$769$	−4409.85			−0.206792			−0.103396	−	0.994640i	$-0.532971\pi$
$769$	−4409.85			−0.206792			−0.103396	+	0.994640i	$0.532971\pi$
$770$	217.693	+	6462.39i	0.0101885	+	0.302452i
$771$	−1052.40	+	435.920i	−0.0491587	+	0.0203622i
$772$	−12856.5	−	20621.0i	−0.599374	−	0.961355i
$773$	−22210.0	−	9199.67i	−1.03342	−	0.428059i	−0.199477	−	0.979902i	$-0.563924\pi$
$773$	−22210.0	−	9199.67i	−1.03342	−	0.428059i	−0.833947	+	0.551844i	$0.813924\pi$
$774$	−10547.5	−	13273.7i	−0.489821	−	0.616427i
$775$	11792.5	+	38773.6i	0.546580	+	1.79715i
$776$	−389.851	−	352.092i	−0.0180346	−	0.0162879i
$777$	−1225.01	−	1225.01i	−0.0565600	−	0.0565600i
$778$	662.440	−	5788.21i	0.0305265	−	0.266732i
$779$	2349.03	+	973.000i	0.108039	+	0.0447514i
$780$	1663.18	−	1415.50i	0.0763479	−	0.0649782i
$781$	771.375	+	1862.26i	0.0353418	+	0.0853227i
$782$	−761.319	−	422.508i	−0.0348142	−	0.0193208i
$783$	5281.22			0.241041
$784$	12009.7	+	5887.54i	0.547090	+	0.268201i
$785$	−22750.8	−	5690.02i	−1.03441	−	0.258708i
$786$	−1222.53	−	678.467i	−0.0554788	−	0.0307890i
$787$	18685.5	−	7739.78i	0.846335	−	0.350563i	0.0829866	−	0.996551i	$-0.473554\pi$
$787$	18685.5	−	7739.78i	0.846335	−	0.350563i	0.763348	+	0.645987i	$0.223554\pi$
$788$	−39783.2	+	6616.19i	−1.79850	+	0.299102i
$789$	2259.53	+	935.929i	0.101954	+	0.0422306i
$790$	−21769.6	−	8169.92i	−0.980413	−	0.367940i
$791$	7728.82	−	7728.82i	0.347415	−	0.347415i
$792$	3595.46	−	10104.7i	0.161312	−	0.453350i
$793$	10327.3	−	10327.3i	0.462465	−	0.462465i
$794$	−15732.3	+	12501.1i	−0.703171	+	0.558749i
$795$	−919.545	+	1240.80i	−0.0410225	+	0.0553543i
$796$	−10954.9	−	2540.77i	−0.487796	−	0.113135i
$797$	−6512.13	−	15721.7i	−0.289424	−	0.698733i	0.710564	−	0.703633i	$-0.248440\pi$
$797$	−6512.13	−	15721.7i	−0.289424	−	0.698733i	−0.999988	+	0.00490055i	$0.998440\pi$
$798$	−228.214	−	797.392i	−0.0101236	−	0.0353727i
$799$	2831.90			0.125388
$800$	−22469.5	+	2668.21i	−0.993023	+	0.117919i
$801$	−4452.55			−0.196408
$802$	6422.13	+	22439.3i	0.282760	+	0.987980i
$803$	3869.33	+	9341.38i	0.170044	+	0.410523i
$804$	−593.560	+	2559.21i	−0.0260364	+	0.112259i
$805$	−3391.40	+	4576.23i	−0.148486	+	0.200361i
$806$	−43195.7	+	34323.8i	−1.88772	+	1.50001i
$807$	1991.55	−	1991.55i	0.0868721	−	0.0868721i
$808$	3213.00	+	6762.49i	0.139892	+	0.294435i
$809$	11546.1	−	11546.1i	0.501781	−	0.501781i	−0.410210	−	0.911991i	$-0.634545\pi$
$809$	11546.1	−	11546.1i	0.501781	−	0.501781i	0.911991	+	0.410210i	$0.134545\pi$
$810$	21188.9	+	7952.01i	0.919140	+	0.344945i
$811$	14916.1	+	6178.45i	0.645839	+	0.267515i	0.681466	−	0.731850i	$-0.261343\pi$
$811$	14916.1	+	6178.45i	0.645839	+	0.267515i	−0.0356269	+	0.999365i	$0.511343\pi$
$812$	3672.39	+	22082.1i	0.158714	+	0.954346i
$813$	−1339.71	+	554.927i	−0.0577930	+	0.0239387i
$814$	16107.5	+	8939.15i	0.693572	+	0.384910i
$815$	32950.9	+	8241.11i	1.41622	+	0.354201i
$816$	181.329	+	11.4577i	0.00777916	+	0.000491543i
$817$	13941.5			0.597001
$818$	5430.28	+	3013.63i	0.232109	+	0.128813i
$819$	−7152.50	−	17267.7i	−0.305163	−	0.736729i
$820$	2361.53	+	2774.74i	0.100571	+	0.118168i
$821$	−18559.8	−	7687.73i	−0.788967	−	0.326801i	−0.0484389	−	0.998826i	$-0.515425\pi$
$821$	−18559.8	−	7687.73i	−0.788967	−	0.326801i	−0.740528	+	0.672025i	$0.765425\pi$
$822$	−77.7943	+	679.744i	−0.00330096	+	0.0288428i
$823$	6339.81	+	6339.81i	0.268520	+	0.268520i	0.828504	−	0.559984i	$-0.189193\pi$
$823$	6339.81	+	6339.81i	0.268520	+	0.268520i	−0.559984	+	0.828504i	$0.689193\pi$
$824$	1743.98	+	34268.8i	0.0737311	+	1.44880i
$825$	−857.298	+	260.736i	−0.0361785	+	0.0110032i
$826$	7448.12	+	9373.27i	0.313745	+	0.394840i
$827$	−17426.5	−	7218.29i	−0.732743	−	0.303512i	−0.0150644	−	0.999887i	$-0.504795\pi$
$827$	−17426.5	−	7218.29i	−0.732743	−	0.303512i	−0.717679	+	0.696374i	$0.754795\pi$
$828$	8017.26	−	4998.51i	0.336496	−	0.209795i
$829$	−6252.38	+	2589.82i	−0.261947	+	0.108502i	−0.509792	−	0.860298i	$-0.670278\pi$
$829$	−6252.38	+	2589.82i	−0.261947	+	0.108502i	0.247845	+	0.968800i	$0.420278\pi$
$830$	−1306.56	−	38786.2i	−0.0546401	−	1.62203i
$831$	−558.786			−0.0233262
$832$	−14616.5	−	27115.6i	−0.609058	−	1.12988i
$833$		−	1461.87i		−	0.0608052i
$834$	−193.478	−	676.023i	−0.00803307	−	0.0280680i
$835$	325.756	+	2190.61i	0.0135009	+	0.0907893i
$836$	4666.06	+	7484.03i	0.193037	+	0.309618i
$837$	6544.63	+	2710.87i	0.270269	+	0.111949i
$838$	−28163.5	+	22379.1i	−1.16097	+	0.922521i
$839$	−7933.38	−	7933.38i	−0.326449	−	0.326449i	0.524785	−	0.851235i	$-0.324146\pi$
$839$	−7933.38	−	7933.38i	−0.326449	−	0.326449i	−0.851235	+	0.524785i	$0.824146\pi$
$840$	229.406	−	1166.23i	0.00942293	−	0.0479033i
$841$	24067.5	−	24067.5i	0.986820	−	0.986820i
$842$	2922.20	−	25533.3i	0.119603	−	1.04505i
$843$	24.0533	−	58.0698i	0.000982728	−	0.00237251i
$844$	−3523.40	−	2518.58i	−0.143697	−	0.102717i
$845$	2339.72	+	15733.9i	0.0952529	+	0.640546i
$846$	−14911.0	+	26868.2i	−0.605970	+	1.09190i
$847$	−11796.5			−0.478550
$848$	14400.9	+	16343.6i	0.583171	+	0.661840i
$849$		−	2098.20i		−	0.0848173i
$850$	1342.88	+	2076.76i	0.0541886	+	0.0838027i
$851$	6210.03	+	14992.3i	0.250149	+	0.603914i
$852$	−60.7852	−	365.502i	−0.00244421	−	0.0146971i
$853$	−859.040	+	2073.91i	−0.0344818	+	0.0832464i	−0.940182	−	0.340672i	$-0.889346\pi$
$853$	−859.040	+	2073.91i	−0.0344818	+	0.0832464i	0.905701	+	0.423918i	$0.139346\pi$
$854$	903.769	−	7896.88i	0.0362135	−	0.316423i
$855$	−16058.4	+	9632.92i	−0.642322	+	0.385309i
$856$	−8433.24	−	17749.7i	−0.336731	−	0.708729i
$857$	−24504.7	+	24504.7i	−0.976739	+	0.976739i	−0.999736	−	0.0229962i	$-0.992679\pi$
$857$	−24504.7	+	24504.7i	−0.976739	+	0.976739i	0.0229962	+	0.999736i	$0.492679\pi$
$858$	−758.911	−	955.070i	−0.0301967	−	0.0380018i
$859$	−5719.93	+	13809.1i	−0.227196	+	0.548500i	−0.995834	−	0.0911838i	$-0.970935\pi$
$859$	−5719.93	+	13809.1i	−0.227196	+	0.548500i	0.768638	+	0.639684i	$0.220935\pi$
$860$	17785.4	+	9101.08i	0.705207	+	0.360865i
$861$	−176.824	+	73.2429i	−0.00699901	+	0.00289908i
$862$	−5704.72	−	19932.7i	−0.225410	−	0.787598i
$863$		−	5732.17i		−	0.226101i	−0.993589	−	0.113051i	$-0.963938\pi$
$863$		−	5732.17i		−	0.226101i	0.993589	−	0.113051i	$-0.0360622\pi$
$864$	−2133.48	+	3330.33i	−0.0840073	+	0.131134i
$865$	−5633.04	+	22522.9i	−0.221421	+	0.885322i
$866$	36445.8	−	10430.8i	1.43011	−	0.409298i
$867$	755.448	+	1823.81i	0.0295921	+	0.0714417i
$868$	−6783.91	+	29249.7i	−0.265278	+	1.14378i
$869$	−4970.15	+	11999.0i	−0.194017	+	0.468398i
$870$	−2824.45	+	1282.97i	−0.110066	+	0.0499963i
$871$	−34423.3	−	34423.3i	−1.33914	−	1.33914i
$872$	12794.5	+	4552.55i	0.496875	+	0.176799i
$873$	−440.528	−	440.528i	−0.0170786	−	0.0170786i
$874$	−883.369	+	7718.63i	−0.0341881	+	0.298726i
$875$	14617.6	−	6933.06i	0.564762	−	0.267863i
$876$	−304.908	−	1833.41i	−0.0117601	−	0.0707137i
$877$	−27300.9	+	11308.4i	−1.05118	+	0.435414i	−0.840313	−	0.542101i	$-0.817629\pi$
$877$	−27300.9	+	11308.4i	−1.05118	+	0.435414i	−0.210868	+	0.977515i	$0.567629\pi$
$878$	23147.9	−	41710.4i	0.889755	−	1.60325i
$879$			2583.19i			0.0991228i
$880$	1066.96	+	12593.6i	0.0408718	+	0.482420i
$881$		−	33592.7i		−	1.28464i	−0.766437	−	0.642320i	$-0.777972\pi$
$881$		−	33592.7i		−	1.28464i	0.766437	−	0.642320i	$-0.222028\pi$
$882$	13869.8	+	7697.29i	0.529501	+	0.293856i
$883$	−991.395	+	410.649i	−0.0377838	+	0.0156506i	−0.401495	−	0.915861i	$-0.631509\pi$
$883$	−991.395	+	410.649i	−0.0377838	+	0.0156506i	0.363712	+	0.931512i	$0.381509\pi$
$884$	−1957.87	+	2738.99i	−0.0744914	+	0.104211i
$885$	−987.849	+	1332.97i	−0.0375211	+	0.0506297i
$886$	18961.3	+	2170.05i	0.718982	+	0.0822849i
$887$	19197.8	+	19197.8i	0.726717	+	0.726717i	0.969964	−	0.243247i	$-0.0782127\pi$
$887$	19197.8	+	19197.8i	0.726717	+	0.726717i	−0.243247	+	0.969964i	$0.578213\pi$
$888$	−2513.04	−	2269.64i	−0.0949686	−	0.0857706i
$889$	−15130.9	−	15130.9i	−0.570837	−	0.570837i
$890$	4777.15	−	2169.96i	0.179922	−	0.0817273i
$891$	4837.59	−	11679.0i	0.181891	−	0.439125i
$892$	7628.30	+	12235.3i	0.286339	+	0.459268i
$893$	−9669.72	−	23344.8i	−0.362357	−	0.874808i
$894$	−811.235	−	2834.50i	−0.0303487	−	0.106040i
$895$	−18005.0	−	4503.09i	−0.672447	−	0.168181i
$896$	−15408.5	−	6604.78i	−0.574510	−	0.246262i
$897$		−	1074.59i		−	0.0399993i
$898$	1569.52	−	449.197i	0.0583248	−	0.0166926i
$899$	72402.6	−	29990.1i	2.68605	−	1.11260i
$900$	−26774.5	+	1805.91i	−0.991646	+	0.0668854i
$901$	911.097	−	2199.58i	0.0336882	−	0.0813305i
$902$	1593.38	−	1266.12i	0.0588178	−	0.0467374i
$903$	−742.072	+	742.072i	−0.0273473	+	0.0273473i
$904$	14319.6	−	15855.2i	0.526838	−	0.583336i
$905$	−11000.1	+	6598.59i	−0.404038	+	0.242370i
$906$	1660.25	+	190.010i	0.0608809	+	0.00696760i
$907$	5485.35	−	13242.8i	0.200814	−	0.484808i	−0.791105	−	0.611680i	$-0.790494\pi$
$907$	5485.35	−	13242.8i	0.200814	−	0.484808i	0.991919	+	0.126873i	$0.0404939\pi$
$908$	17827.5	+	12743.4i	0.651572	+	0.465754i
$909$	3397.95	+	8203.37i	0.123985	+	0.299327i
$910$	16089.4	+	15040.7i	0.586108	+	0.547907i
$911$		−	19372.7i		−	0.704550i	−0.935897	−	0.352275i	$-0.885408\pi$
$911$		−	19372.7i		−	0.704550i	0.935897	−	0.352275i	$-0.114592\pi$
$912$	−524.711	−	1533.91i	−0.0190514	−	0.0556940i
$913$	−21676.6			−0.785750
$914$	−21228.4	−	11781.1i	−0.768241	−	0.426350i
$915$	1089.52	−	162.018i	0.0393643	−	0.00585370i
$916$	5974.28	+	35923.4i	0.215498	+	1.29579i
$917$	5395.91	−	13026.9i	0.194317	−	0.469123i
$918$	429.476	+	49.1520i	0.0154410	+	0.00176717i
$919$	9602.50	−	9602.50i	0.344676	−	0.344676i	−0.513446	−	0.858122i	$-0.671631\pi$
$919$	9602.50	−	9602.50i	0.344676	−	0.344676i	0.858122	+	0.513446i	$0.171631\pi$
$920$	−6165.70	+	9270.15i	−0.220954	+	0.332204i
$921$	767.902	+	767.902i	0.0274736	+	0.0274736i
$922$	−17212.0	−	21660.9i	−0.614803	−	0.773714i
$923$	6343.28	+	2627.47i	0.226210	+	0.0936991i
$924$	−646.722	−	149.995i	−0.0230255	−	0.00534032i
$925$	4484.63	−	45873.6i	0.159410	−	1.63061i
$926$	−46485.5	+	13304.2i	−1.64969	+	0.472140i
$927$			40694.1i			1.44182i
$928$	9362.58	+	42741.5i	0.331187	+	1.51192i
$929$	−19007.8			−0.671288			−0.335644	−	0.941989i	$-0.608954\pi$
$929$	−19007.8			−0.671288			−0.335644	+	0.941989i	$0.608954\pi$
$930$	−4158.69	+	140.090i	−0.146633	+	0.00493950i
$931$	−12050.9	+	4991.66i	−0.424225	+	0.175720i
$932$	6284.03	+	1457.46i	0.220859	+	0.0512238i
$933$	−2932.25	−	1214.58i	−0.102891	−	0.0426189i
$934$	−5494.71	+	4366.17i	−0.192497	+	0.152961i
$935$	1184.58	−	710.594i	0.0414332	−	0.0248545i
$936$	−15677.8	−	32997.6i	−0.547484	−	1.15231i
$937$	−24547.2	−	24547.2i	−0.855841	−	0.855841i	0.135004	−	0.990845i	$-0.456895\pi$
$937$	−24547.2	−	24547.2i	−0.855841	−	0.855841i	−0.990845	+	0.135004i	$0.956895\pi$
$938$	−26322.1	−	3012.47i	−0.916254	−	0.104862i
$939$	229.839	+	95.2024i	0.00798776	+	0.00330864i
$940$	2903.75	−	36093.9i	0.100755	−	1.25240i
$941$	6782.43	+	16374.2i	0.234964	+	0.567253i	0.996748	−	0.0805777i	$-0.0256765\pi$
$941$	6782.43	+	16374.2i	0.234964	+	0.567253i	−0.761785	+	0.647830i	$0.775677\pi$
$942$	1168.40	−	2105.35i	0.0404125	−	0.0728195i
$943$	1792.77			0.0619094
$944$	15470.6	+	17557.6i	0.533396	+	0.605350i
$945$	686.124	−	2743.37i	0.0236187	−	0.0944359i
$946$	5415.04	−	9757.38i	0.186108	−	0.335349i
$947$	49250.6	−	20400.2i	1.69000	−	0.700020i	0.690275	−	0.723547i	$-0.257490\pi$
$947$	49250.6	−	20400.2i	1.69000	−	0.700020i	0.999723	+	0.0235271i	$0.00748961\pi$
$948$	1388.31	−	1942.19i	0.0475634	−	0.0665394i
$949$	31818.8	+	13179.8i	1.08839	+	0.450826i
$950$	12534.4	−	18161.3i	0.428075	−	0.620242i
$951$	1540.08	−	1540.08i	0.0525138	−	0.0525138i
$952$	93.1271	+	1829.93i	0.00317045	+	0.0622986i
$953$	18832.4	−	18832.4i	0.640128	−	0.640128i	−0.310458	−	0.950587i	$-0.600483\pi$
$953$	18832.4	−	18832.4i	0.640128	−	0.640128i	0.950587	+	0.310458i	$0.100483\pi$
$954$	16071.7	+	20225.9i	0.545431	+	0.686411i
$955$	21693.0	−	29271.8i	0.735046	−	0.991845i
$956$	18734.7	+	30049.2i	0.633811	+	1.01659i
$957$	663.092	+	1600.85i	0.0223978	+	0.0540731i
$958$	7229.72	−	2069.14i	0.243822	−	0.0697819i
$959$	−6899.75			−0.232330
$960$	331.964	−	2299.38i	0.0111605	−	0.0773044i
$961$	75326.3			2.52849
$962$	60326.3	−	17265.4i	2.02183	−	0.578647i
$963$	−8918.68	−	21531.6i	−0.298443	−	0.720505i
$964$	−24180.3	−	38783.6i	−0.807879	−	1.29578i
$965$	27285.1	+	20220.7i	0.910194	+	0.674536i
$966$	−363.825	−	457.865i	−0.0121179	−	0.0152501i
$967$	30678.0	−	30678.0i	1.02021	−	1.02021i	0.0204139	−	0.999792i	$-0.493502\pi$
$967$	30678.0	−	30678.0i	1.02021	−	1.02021i	0.999792	−	0.0204139i	$-0.00649840\pi$
$968$	−23027.9	+	1171.92i	−0.764611	+	0.0389120i
$969$	−125.292	+	125.292i	−0.00415372	+	0.00415372i
$970$	687.336	+	257.951i	0.0227516	+	0.00853846i
$971$	14729.7	+	6101.26i	0.486818	+	0.201646i	0.612572	−	0.790415i	$-0.290135\pi$
$971$	14729.7	+	6101.26i	0.486818	+	0.201646i	−0.125754	+	0.992061i	$0.540135\pi$
$972$	−4095.72	+	5729.75i	−0.135155	+	0.189076i
$973$	6551.40	−	2713.68i	0.215856	−	0.0894107i
$974$	−13618.6	+	24539.4i	−0.448015	+	0.807281i
$975$	−1436.86	+	2692.85i	−0.0471961	+	0.0884516i
$976$	979.732	−	15505.2i	0.0321316	−	0.508515i
$977$	−34621.7			−1.13372			−0.566861	−	0.823813i	$-0.691842\pi$
$977$	−34621.7			−1.13372			−0.566861	+	0.823813i	$0.691842\pi$
$978$	−1692.25	+	3049.27i	−0.0553294	+	0.0996982i
$979$	−1121.53	−	2707.60i	−0.0366130	−	0.0883916i
$980$	−18632.2	−	1498.96i	−0.607331	−	0.0488598i
$981$	14879.7	+	6163.39i	0.484275	+	0.200593i
$982$	4406.02	+	504.253i	0.143179	+	0.0163863i
$983$	19167.0	+	19167.0i	0.621906	+	0.621906i	0.946018	−	0.324113i	$-0.105066\pi$
$983$	19167.0	+	19167.0i	0.621906	+	0.621906i	−0.324113	+	0.946018i	$0.605066\pi$
$984$	−337.901	+	160.544i	−0.0109470	+	0.00520116i
$985$	48333.1	−	28993.5i	1.56347	−	0.937878i
$986$	3744.15	−	2975.15i	0.120931	−	0.0960933i
$987$	1757.29	+	727.892i	0.0566718	+	0.0234742i
$988$	29264.2	+	6787.27i	0.942327	+	0.218554i
$989$	9081.86	−	3761.83i	0.291998	−	0.120950i
$990$	504.636	+	14980.5i	0.0162004	+	0.480922i
$991$	34579.7			1.10844			0.554218	−	0.832372i	$-0.313017\pi$
$991$	34579.7			1.10844			0.554218	+	0.832372i	$0.313017\pi$
$992$	−10337.0	+	57772.2i	−0.330848	+	1.84906i
$993$			1179.13i			0.0376825i
$994$	3592.36	−	1028.13i	0.114631	−	0.0328073i
$995$	15545.4	−	2311.69i	0.495298	−	0.0736537i
$996$	3881.52	+	900.243i	0.123485	+	0.0286398i
$997$	28249.2	+	11701.2i	0.897353	+	0.371696i	0.783202	−	0.621768i	$-0.213585\pi$
$997$	28249.2	+	11701.2i	0.897353	+	0.371696i	0.114151	+	0.993463i	$0.463585\pi$
$998$	13965.7	+	17575.5i	0.442963	+	0.557458i
$999$	−5696.86	−	5696.86i	−0.180421	−	0.180421i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.4.z.a.149.65	yes	280
5.4	even	2	inner	160.4.z.a.149.6	yes	280
32.29	even	8	inner	160.4.z.a.29.6	✓	280
160.29	even	8	inner	160.4.z.a.29.65	yes	280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.4.z.a.29.6	✓	280	32.29	even	8	inner
160.4.z.a.29.65	yes	280	160.29	even	8	inner
160.4.z.a.149.6	yes	280	5.4	even	2	inner
160.4.z.a.149.65	yes	280	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 160 = 2^{5} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	160.z (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(2.71925 - 0.778249i) q^{2} +(-0.155312 - 0.374956i) q^{3} +(6.78866 - 4.23251i) q^{4} +(-6.65687 + 8.98254i) q^{5} +(-0.714142 - 0.898729i) q^{6} +(8.18573 - 8.18573i) q^{7} +(15.1661 - 16.7925i) q^{8} +(18.9754 - 18.9754i) q^{9} +(-11.1110 + 29.6065i) q^{10} +(16.3186 + 6.75938i) q^{11} +(-2.64137 - 1.88809i) q^{12} +(55.5847 - 23.0239i) q^{13} +(15.8885 - 28.6296i) q^{14} +(4.40195 + 1.10094i) q^{15} +(28.1717 - 57.4661i) q^{16} -6.99500 q^{17} +(36.8313 - 66.3665i) q^{18} +(23.8850 + 57.6634i) q^{19} +(-7.17250 + 89.1547i) q^{20} +(-4.34063 - 1.79795i) q^{21} +(49.6348 + 5.68052i) q^{22} +(31.1187 + 31.1187i) q^{23} +(-8.65194 - 3.07855i) q^{24} +(-36.3721 - 119.591i) q^{25} +(133.230 - 105.867i) q^{26} +(-20.1859 - 8.36127i) q^{27} +(20.9239 - 90.2163i) q^{28} +(-223.315 + 92.4999i) q^{29} +(12.8268 - 0.432086i) q^{30} -324.218 q^{31} +(31.8830 - 178.189i) q^{32} -7.16857i q^{33} +(-19.0212 + 5.44385i) q^{34} +(19.0373 + 128.020i) q^{35} +(48.5039 - 209.131i) q^{36} +(340.670 + 141.110i) q^{37} +(109.826 + 138.213i) q^{38} +(-17.2659 - 17.2659i) q^{39} +(49.8807 + 248.016i) q^{40} +(28.8054 - 28.8054i) q^{41} +(-13.2025 - 1.51098i) q^{42} +(85.4797 - 206.366i) q^{43} +(139.390 - 23.1815i) q^{44} +(44.1306 + 296.764i) q^{45} +(108.838 + 60.4014i) q^{46} -404.846 q^{47} +(-25.9227 - 1.63798i) q^{48} +208.988i q^{49} +(-191.977 - 296.892i) q^{50} +(1.08641 + 2.62282i) q^{51} +(279.896 - 391.564i) q^{52} +(-130.250 + 314.451i) q^{53} +(-61.3976 - 7.02674i) q^{54} +(-169.347 + 101.586i) q^{55} +(-13.3134 - 261.605i) q^{56} +(17.9116 - 17.9116i) q^{57} +(-535.261 + 425.325i) q^{58} +(-139.925 + 337.809i) q^{59} +(34.5431 - 11.1574i) q^{60} +(224.274 - 92.8973i) q^{61} +(-881.630 + 252.322i) q^{62} -310.655i q^{63} +(-51.9780 - 509.355i) q^{64} +(-163.207 + 652.559i) q^{65} +(-5.57893 - 19.4931i) q^{66} +(-309.648 - 747.556i) q^{67} +(-47.4866 + 29.6064i) q^{68} +(6.83504 - 16.5012i) q^{69} +(151.399 + 333.303i) q^{70} +(80.6945 + 80.6945i) q^{71} +(-30.8619 - 606.428i) q^{72} +(404.775 + 404.775i) q^{73} +(1036.19 + 118.588i) q^{74} +(-39.1925 + 32.2119i) q^{75} +(406.208 + 290.364i) q^{76} +(188.910 - 78.2491i) q^{77} +(-60.3876 - 33.5132i) q^{78} +735.297i q^{79} +(328.656 + 635.598i) q^{80} -715.685i q^{81} +(55.9113 - 100.747i) q^{82} +(-1133.81 + 469.638i) q^{83} +(-37.0769 + 6.16612i) q^{84} +(46.5648 - 62.8329i) q^{85} +(71.8364 - 627.686i) q^{86} +(69.3669 + 69.3669i) q^{87} +(360.996 - 171.517i) q^{88} +(-117.324 - 117.324i) q^{89} +(350.959 + 772.632i) q^{90} +(266.533 - 643.469i) q^{91} +(342.964 + 79.5438i) q^{92} +(50.3549 + 121.568i) q^{93} +(-1100.88 + 315.071i) q^{94} +(-676.963 - 169.310i) q^{95} +(-71.7651 + 15.7202i) q^{96} -23.2157i q^{97} +(162.644 + 568.290i) q^{98} +(437.914 - 181.390i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 280 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9} - 4 q^{10} - 8 q^{11} + 200 q^{14} - 8 q^{16} - 8 q^{19} - 4 q^{20} - 8 q^{21} - 464 q^{24} - 4 q^{25} - 48 q^{26} - 8 q^{29} + 1124 q^{30} + 1472 q^{31} - 72 q^{34}+ \cdots + 5520 q^{99}+O(q^{100}) \) 280 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9 - 4 * q^10 - 8 * q^11 + 200 * q^14 - 8 * q^16 - 8 * q^19 - 4 * q^20 - 8 * q^21 - 464 * q^24 - 4 * q^25 - 48 * q^26 - 8 * q^29 + 1124 * q^30 + 1472 * q^31 - 72 * q^34 - 460 * q^35 - 888 * q^36 - 8 * q^39 - 1112 * q^40 - 8 * q^41 - 8 * q^44 - 112 * q^45 - 8 * q^46 + 3556 * q^50 - 1712 * q^51 + 856 * q^54 + 284 * q^55 + 328 * q^56 - 1384 * q^59 - 5248 * q^60 - 1832 * q^61 + 832 * q^64 - 8 * q^65 + 6088 * q^66 + 1048 * q^69 - 616 * q^70 + 216 * q^71 - 2064 * q^74 + 2204 * q^75 - 5128 * q^76 - 656 * q^80 - 6904 * q^84 - 504 * q^85 - 1192 * q^86 - 8 * q^89 + 2720 * q^90 - 8 * q^91 - 920 * q^94 - 8 * q^95 - 4152 * q^96 + 5520 * q^99

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