LMFDB - Embedded newform 201.3.k.a.14.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [201,3,Mod(14,201)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(201, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 8]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("201.14");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 201 = 3 \cdot 67 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	201.k (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.47685331364$
Analytic rank:	$0$
Dimension:	$440$
Relative dimension:	$44$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			14.4
Character	$\chi$	$=$	201.14
Dual form			201.3.k.a.158.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-3.07669 + 1.40508i) q^{2} +(-0.235512 - 2.99074i) q^{3} +(4.87231 - 5.62295i) q^{4} +(-1.88146 + 0.270514i) q^{5} +(4.92681 + 8.87066i) q^{6} +(-5.50063 - 12.0447i) q^{7} +(-3.27825 + 11.1647i) q^{8} +(-8.88907 + 1.40871i) q^{9} +O(q^{10})$	\(q+(-3.07669 + 1.40508i) q^{2} +(-0.235512 - 2.99074i) q^{3} +(4.87231 - 5.62295i) q^{4} +(-1.88146 + 0.270514i) q^{5} +(4.92681 + 8.87066i) q^{6} +(-5.50063 - 12.0447i) q^{7} +(-3.27825 + 11.1647i) q^{8} +(-8.88907 + 1.40871i) q^{9} +(5.40858 - 3.47589i) q^{10} +(0.200896 - 0.0288845i) q^{11} +(-17.9643 - 13.2476i) q^{12} +(17.8988 - 5.25555i) q^{13} +(33.8474 + 29.3290i) q^{14} +(1.25214 + 5.56326i) q^{15} +(-1.36567 - 9.49843i) q^{16} +(-13.7702 + 11.9320i) q^{17} +(25.3695 - 16.8240i) q^{18} +(-8.48406 + 18.5775i) q^{19} +(-7.64600 + 11.8974i) q^{20} +(-34.7271 + 19.2876i) q^{21} +(-0.577509 + 0.371142i) q^{22} +(10.2911 - 16.0132i) q^{23} +(34.1628 + 7.17498i) q^{24} +(-20.5206 + 6.02539i) q^{25} +(-47.6844 + 41.3188i) q^{26} +(6.30657 + 26.2531i) q^{27} +(-94.5276 - 27.7558i) q^{28} -22.0442i q^{29} +(-11.6693 - 15.3571i) q^{30} +(-12.4774 - 3.66369i) q^{31} +(-7.61592 - 11.8506i) q^{32} +(-0.133699 - 0.594025i) q^{33} +(25.6013 - 56.0591i) q^{34} +(13.6075 + 21.1737i) q^{35} +(-35.3892 + 56.8465i) q^{36} -1.88763 q^{37} -69.0778i q^{38} +(-19.9334 - 52.2928i) q^{39} +(3.14771 - 21.8928i) q^{40} +(-54.9251 + 47.5929i) q^{41} +(79.7438 - 108.136i) q^{42} +(33.6049 + 38.7821i) q^{43} +(0.816412 - 1.27036i) q^{44} +(16.3434 - 5.05505i) q^{45} +(-9.16262 + 63.7274i) q^{46} +(-29.7306 + 46.2618i) q^{47} +(-28.0857 + 6.32135i) q^{48} +(-82.7297 + 95.4751i) q^{49} +(54.6693 - 47.3712i) q^{50} +(38.9284 + 38.3730i) q^{51} +(57.6567 - 126.250i) q^{52} +(-18.5013 - 16.0315i) q^{53} +(-56.2910 - 71.9114i) q^{54} +(-0.370165 + 0.108690i) q^{55} +(152.508 - 21.9273i) q^{56} +(57.5586 + 20.9984i) q^{57} +(30.9738 + 67.8232i) q^{58} +(24.1862 - 82.3706i) q^{59} +(37.3828 + 20.0652i) q^{60} +(4.10555 - 28.5547i) q^{61} +(43.5368 - 6.25965i) q^{62} +(65.8630 + 99.3174i) q^{63} +(72.3738 + 46.5118i) q^{64} +(-32.2542 + 14.7300i) q^{65} +(1.24600 + 1.63977i) q^{66} +(64.9563 - 16.4221i) q^{67} +135.565i q^{68} +(-50.3151 - 27.0066i) q^{69} +(-71.6166 - 46.0252i) q^{70} +(-16.9676 - 14.7025i) q^{71} +(13.4128 - 103.862i) q^{72} +(3.25411 - 22.6328i) q^{73} +(5.80765 - 2.65227i) q^{74} +(22.8532 + 59.9527i) q^{75} +(63.1233 + 138.221i) q^{76} +(-1.45296 - 2.26085i) q^{77} +(134.804 + 132.881i) q^{78} +(53.1784 - 15.6146i) q^{79} +(5.13891 + 17.5015i) q^{80} +(77.0311 - 25.0442i) q^{81} +(102.116 - 223.602i) q^{82} +(17.4801 - 2.51326i) q^{83} +(-60.7480 + 289.244i) q^{84} +(22.6804 - 26.1746i) q^{85} +(-157.884 - 72.1030i) q^{86} +(-65.9286 + 5.19168i) q^{87} +(-0.336101 + 2.33763i) q^{88} +(45.0589 + 70.1130i) q^{89} +(-43.1807 + 38.5165i) q^{90} +(-161.756 - 186.676i) q^{91} +(-39.9002 - 135.888i) q^{92} +(-8.01859 + 38.1795i) q^{93} +(26.4706 - 184.107i) q^{94} +(10.9370 - 37.2480i) q^{95} +(-33.6484 + 25.5682i) q^{96} -55.1095 q^{97} +(120.383 - 409.988i) q^{98} +(-1.74509 + 0.539760i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9}+O(q^{10}) $ 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9	$ 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9} - 34 q^{10} - 123 q^{12} + 10 q^{13} + 19 q^{15} - 226 q^{16} - 33 q^{18} - 100 q^{19} + 85 q^{21} - 454 q^{22} - 251 q^{24} + 142 q^{25} - 53 q^{27} + 642 q^{28} - 80 q^{30} - 130 q^{31} + 104 q^{33} + 26 q^{34} + 67 q^{36} - 144 q^{37} + 117 q^{39} - 182 q^{40} + 193 q^{42} - 156 q^{43} + 341 q^{45} - 746 q^{46} - 485 q^{48} - 354 q^{49} - 125 q^{51} + 1130 q^{52} + 272 q^{54} - 590 q^{55} + 15 q^{57} - 274 q^{58} - 217 q^{60} - 1134 q^{61} + 279 q^{63} + 58 q^{64} + 1288 q^{66} - 87 q^{69} + 1038 q^{70} - 977 q^{72} + 1208 q^{73} - 751 q^{75} + 1126 q^{76} - 11 q^{78} + 678 q^{79} + 125 q^{81} + 510 q^{82} + 191 q^{84} + 166 q^{85} + 1080 q^{87} + 62 q^{88} - 105 q^{90} + 550 q^{91} + 635 q^{93} + 986 q^{94} - 1632 q^{96} - 112 q^{97} - 500 q^{99}+O(q^{100}) $ 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9 - 34 * q^10 - 123 * q^12 + 10 * q^13 + 19 * q^15 - 226 * q^16 - 33 * q^18 - 100 * q^19 + 85 * q^21 - 454 * q^22 - 251 * q^24 + 142 * q^25 - 53 * q^27 + 642 * q^28 - 80 * q^30 - 130 * q^31 + 104 * q^33 + 26 * q^34 + 67 * q^36 - 144 * q^37 + 117 * q^39 - 182 * q^40 + 193 * q^42 - 156 * q^43 + 341 * q^45 - 746 * q^46 - 485 * q^48 - 354 * q^49 - 125 * q^51 + 1130 * q^52 + 272 * q^54 - 590 * q^55 + 15 * q^57 - 274 * q^58 - 217 * q^60 - 1134 * q^61 + 279 * q^63 + 58 * q^64 + 1288 * q^66 - 87 * q^69 + 1038 * q^70 - 977 * q^72 + 1208 * q^73 - 751 * q^75 + 1126 * q^76 - 11 * q^78 + 678 * q^79 + 125 * q^81 + 510 * q^82 + 191 * q^84 + 166 * q^85 + 1080 * q^87 + 62 * q^88 - 105 * q^90 + 550 * q^91 + 635 * q^93 + 986 * q^94 - 1632 * q^96 - 112 * q^97 - 500 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/201\mathbb{Z}\right)^\times$.

$n$	$68$	$136$
$\chi(n)$	$-1$	$e\left(\frac{4}{11}\right)$

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 $

$2$	−3.07669	+	1.40508i	−1.53834	+	0.702538i	−0.990937	−	0.134330i	$-0.957112\pi$
$2$	−3.07669	+	1.40508i	−1.53834	+	0.702538i	−0.547406	+	0.836867i	$0.684385\pi$
$3$	−0.235512	−	2.99074i	−0.0785040	−	0.996914i
$3$	−0.235512	−	2.99074i	−0.0785040	−	0.996914i
$4$	4.87231	−	5.62295i	1.21808	−	1.40574i
$5$	−1.88146	+	0.270514i	−0.376293	+	0.0541028i	−0.327867	−	0.944724i	$-0.606330\pi$
$5$	−1.88146	+	0.270514i	−0.376293	+	0.0541028i	−0.0484263	+	0.998827i	$0.515421\pi$
$6$	4.92681	+	8.87066i	0.821135	+	1.47844i
$7$	−5.50063	−	12.0447i	−0.785804	−	1.72067i	−0.688288	−	0.725437i	$-0.741637\pi$
$7$	−5.50063	−	12.0447i	−0.785804	−	1.72067i	−0.0975162	−	0.995234i	$-0.531090\pi$
$8$	−3.27825	+	11.1647i	−0.409781	+	1.39559i
$9$	−8.88907	+	1.40871i	−0.987674	+	0.156523i
$10$	5.40858	−	3.47589i	0.540858	−	0.347589i
$11$	0.200896	−	0.0288845i	0.0182633	−	0.00262586i	−0.133177	−	0.991092i	$-0.542518\pi$
$11$	0.200896	−	0.0288845i	0.0182633	−	0.00262586i	0.151440	+	0.988466i	$0.451609\pi$
$12$	−17.9643	−	13.2476i	−1.49702	−	1.10396i
$13$	17.8988	−	5.25555i	1.37683	−	0.404273i	0.492163	−	0.870503i	$-0.336206\pi$
$13$	17.8988	−	5.25555i	1.37683	−	0.404273i	0.884664	+	0.466230i	$0.154388\pi$
$14$	33.8474	+	29.3290i	2.41767	+	2.09493i
$15$	1.25214	+	5.56326i	0.0834763	+	0.370884i
$16$	−1.36567	−	9.49843i	−0.0853542	−	0.593652i
$17$	−13.7702	+	11.9320i	−0.810012	+	0.701880i	−0.957893	−	0.287125i	$-0.907300\pi$
$17$	−13.7702	+	11.9320i	−0.810012	+	0.701880i	0.147881	+	0.989005i	$0.452755\pi$
$18$	25.3695	−	16.8240i	1.40942	−	0.934665i
$19$	−8.48406	+	18.5775i	−0.446529	+	0.977763i	0.543824	+	0.839199i	$0.316976\pi$
$19$	−8.48406	+	18.5775i	−0.446529	+	0.977763i	−0.990354	+	0.138564i	$0.955751\pi$
$20$	−7.64600	+	11.8974i	−0.382300	+	0.594871i
$21$	−34.7271	+	19.2876i	−1.65367	+	0.918459i
$22$	−0.577509	+	0.371142i	−0.0262504	+	0.0168701i
$23$	10.2911	−	16.0132i	0.447438	−	0.696227i	−0.542130	−	0.840295i	$-0.682382\pi$
$23$	10.2911	−	16.0132i	0.447438	−	0.696227i	0.989568	+	0.144068i	$0.0460183\pi$
$24$	34.1628	+	7.17498i	1.42345	+	0.298957i
$25$	−20.5206	+	6.02539i	−0.820824	+	0.241016i
$26$	−47.6844	+	41.3188i	−1.83401	+	1.58918i
$27$	6.30657	+	26.2531i	0.233577	+	0.972338i
$28$	−94.5276	−	27.7558i	−3.37598	−	0.991278i
$29$		−	22.0442i		−	0.760146i	−0.924956	−	0.380073i	$-0.875899\pi$
$29$		−	22.0442i		−	0.760146i	0.924956	−	0.380073i	$-0.124101\pi$
$30$	−11.6693	−	15.3571i	−0.388975	−	0.511902i
$31$	−12.4774	−	3.66369i	−0.402497	−	0.118184i	0.0742174	−	0.997242i	$-0.476354\pi$
$31$	−12.4774	−	3.66369i	−0.402497	−	0.118184i	−0.476714	+	0.879058i	$0.658172\pi$
$32$	−7.61592	−	11.8506i	−0.237997	−	0.370331i
$33$	−0.133699	−	0.594025i	−0.00405150	−	0.0180008i
$34$	25.6013	−	56.0591i	0.752980	−	1.64880i
$35$	13.6075	+	21.1737i	0.388786	+	0.604962i
$36$	−35.3892	+	56.8465i	−0.983034	+	1.57907i
$37$	−1.88763			−0.0510171			−0.0255086	−	0.999675i	$-0.508121\pi$
$37$	−1.88763			−0.0510171			−0.0255086	+	0.999675i	$0.508121\pi$
$38$		−	69.0778i		−	1.81784i
$39$	−19.9334	−	52.2928i	−0.511112	−	1.34084i
$40$	3.14771	−	21.8928i	0.0786927	−	0.547319i
$41$	−54.9251	+	47.5929i	−1.33964	+	1.16080i	−0.366540	+	0.930402i	$0.619458\pi$
$41$	−54.9251	+	47.5929i	−1.33964	+	1.16080i	−0.973096	+	0.230399i	$0.925997\pi$
$42$	79.7438	−	108.136i	1.89866	−	2.57467i
$43$	33.6049	+	38.7821i	0.781510	+	0.901910i	0.997217	−	0.0745478i	$-0.0237513\pi$
$43$	33.6049	+	38.7821i	0.781510	+	0.901910i	−0.215708	+	0.976458i	$0.569206\pi$
$44$	0.816412	−	1.27036i	0.0185548	−	0.0288719i
$45$	16.3434	−	5.05505i	0.363186	−	0.112335i
$46$	−9.16262	+	63.7274i	−0.199187	+	1.38538i
$47$	−29.7306	+	46.2618i	−0.632567	+	0.984293i	0.365992	+	0.930618i	$0.380730\pi$
$47$	−29.7306	+	46.2618i	−0.632567	+	0.984293i	−0.998558	+	0.0536751i	$0.982906\pi$
$48$	−28.0857	+	6.32135i	−0.585119	+	0.131695i
$49$	−82.7297	+	95.4751i	−1.68836	+	1.94847i
$50$	54.6693	−	47.3712i	1.09339	−	0.947424i
$51$	38.9284	+	38.3730i	0.763303	+	0.752412i
$52$	57.6567	−	126.250i	1.10878	−	2.42789i
$53$	−18.5013	−	16.0315i	−0.349082	−	0.302481i	0.462616	−	0.886559i	$-0.346911\pi$
$53$	−18.5013	−	16.0315i	−0.349082	−	0.302481i	−0.811698	+	0.584078i	$0.801456\pi$
$54$	−56.2910	−	71.9114i	−1.04243	−	1.33169i
$55$	−0.370165	+	0.108690i	−0.00673027	+	0.00197619i
$56$	152.508	−	21.9273i	2.72335	−	0.391559i
$57$	57.5586	+	20.9984i	1.00980	+	0.368393i
$58$	30.9738	+	67.8232i	0.534031	+	1.16937i
$59$	24.1862	−	82.3706i	0.409936	−	1.39611i	−0.453321	−	0.891347i	$-0.649761\pi$
$59$	24.1862	−	82.3706i	0.409936	−	1.39611i	0.863257	−	0.504765i	$-0.168421\pi$
$60$	37.3828	+	20.0652i	0.623047	+	0.334421i
$61$	4.10555	−	28.5547i	0.0673040	−	0.468110i	−0.928099	−	0.372334i	$-0.878558\pi$
$61$	4.10555	−	28.5547i	0.0673040	−	0.468110i	0.995403	−	0.0957760i	$-0.0305332\pi$
$62$	43.5368	−	6.25965i	0.702206	−	0.100962i
$63$	65.8630	+	99.3174i	1.04544	+	1.57647i
$64$	72.3738	+	46.5118i	1.13084	+	0.726747i
$65$	−32.2542	+	14.7300i	−0.496218	+	0.226615i
$66$	1.24600	+	1.63977i	0.0188788	+	0.0248450i
$67$	64.9563	−	16.4221i	0.969496	−	0.245106i
$67$	64.9563	−	16.4221i	0.969496	−	0.245106i
$68$			135.565i			1.99361i
$69$	−50.3151	−	27.0066i	−0.729204	−	0.391401i
$70$	−71.6166	−	46.0252i	−1.02309	−	0.657503i
$71$	−16.9676	−	14.7025i	−0.238981	−	0.207078i	0.527133	−	0.849783i	$-0.323267\pi$
$71$	−16.9676	−	14.7025i	−0.238981	−	0.207078i	−0.766114	+	0.642705i	$0.777812\pi$
$72$	13.4128	−	103.862i	0.186288	−	1.44252i
$73$	3.25411	−	22.6328i	0.0445768	−	0.310038i	−0.955319	−	0.295578i	$-0.904488\pi$
$73$	3.25411	−	22.6328i	0.0445768	−	0.310038i	0.999895	−	0.0144605i	$-0.00460309\pi$
$74$	5.80765	−	2.65227i	0.0784818	−	0.0358414i
$75$	22.8532	+	59.9527i	0.304710	+	0.799370i
$76$	63.1233	+	138.221i	0.830570	+	1.81870i
$77$	−1.45296	−	2.26085i	−0.0188696	−	0.0293617i
$78$	134.804	+	132.881i	1.72826	+	1.70360i
$79$	53.1784	−	15.6146i	0.673144	−	0.197653i	0.0727416	−	0.997351i	$-0.476825\pi$
$79$	53.1784	−	15.6146i	0.673144	−	0.197653i	0.600403	+	0.799698i	$0.295007\pi$
$80$	5.13891	+	17.5015i	0.0642364	+	0.218769i
$81$	77.0311	−	25.0442i	0.951001	−	0.309188i
$82$	102.116	−	223.602i	1.24531	−	2.72686i
$83$	17.4801	−	2.51326i	0.210604	−	0.0302802i	−0.0362054	−	0.999344i	$-0.511527\pi$
$83$	17.4801	−	2.51326i	0.210604	−	0.0302802i	0.246809	+	0.969064i	$0.420618\pi$
$84$	−60.7480	+	289.244i	−0.723191	+	3.44338i
$85$	22.6804	−	26.1746i	0.266828	−	0.307936i
$86$	−157.884	−	72.1030i	−1.83586	−	0.838407i
$87$	−65.9286	+	5.19168i	−0.757800	+	0.0596745i
$88$	−0.336101	+	2.33763i	−0.00381933	+	0.0265640i
$89$	45.0589	+	70.1130i	0.506280	+	0.787787i	0.996481	−	0.0838225i	$-0.0267129\pi$
$89$	45.0589	+	70.1130i	0.506280	+	0.787787i	−0.490201	+	0.871610i	$0.663077\pi$
$90$	−43.1807	+	38.5165i	−0.479786	+	0.427961i
$91$	−161.756	−	186.676i	−1.77754	−	2.05139i
$92$	−39.9002	−	135.888i	−0.433698	−	1.47704i
$93$	−8.01859	+	38.1795i	−0.0862214	+	0.410532i
$94$	26.4706	−	184.107i	0.281602	−	1.95858i
$95$	10.9370	−	37.2480i	0.115126	−	0.392084i
$96$	−33.6484	+	25.5682i	−0.350505	+	0.266335i
$97$	−55.1095			−0.568139			−0.284070	−	0.958804i	$-0.591685\pi$
$97$	−55.1095			−0.568139			−0.284070	+	0.958804i	$0.591685\pi$
$98$	120.383	−	409.988i	1.22840	−	4.18356i
$99$	−1.74509	+	0.539760i	−0.0176272	+	0.00545213i
$100$	−66.1023	+	144.744i	−0.661023	+	1.44744i
$101$	−24.8909	−	11.3673i	−0.246444	−	0.112547i	0.288364	−	0.957521i	$-0.406889\pi$
$101$	−24.8909	−	11.3673i	−0.246444	−	0.112547i	−0.534808	+	0.844974i	$0.679616\pi$
$102$	−173.688	−	63.3643i	−1.70282	−	0.621219i
$103$	−66.6560	−	19.5720i	−0.647145	−	0.190019i	−0.0583436	−	0.998297i	$-0.518582\pi$
$103$	−66.6560	−	19.5720i	−0.647145	−	0.190019i	−0.588802	+	0.808278i	$0.700400\pi$
$104$			217.063i			2.08714i
$105$	60.1203	−	45.6832i	0.572574	−	0.435078i
$106$	79.4482	+	23.3281i	0.749511	+	0.220076i
$107$	−1.69871	−	0.244238i	−0.0158758	−	0.00228260i	0.134372	−	0.990931i	$-0.457098\pi$
$107$	−1.69871	−	0.244238i	−0.0158758	−	0.00228260i	−0.150248	+	0.988648i	$0.548007\pi$
$108$	178.348	+	92.4520i	1.65137	+	0.856037i
$109$	−161.186	+	47.3285i	−1.47877	+	0.434206i	−0.918939	−	0.394399i	$-0.870953\pi$
$109$	−161.186	+	47.3285i	−1.47877	+	0.434206i	−0.559832	+	0.828606i	$0.689134\pi$
$110$	0.986164	−	0.854516i	0.00896512	−	0.00776832i
$111$	0.444560	+	5.64542i	0.00400505	+	0.0508597i
$112$	−106.894	+	68.6964i	−0.954408	+	0.613361i
$113$	−72.3983	−	10.4093i	−0.640693	−	0.0921177i	−0.185691	−	0.982608i	$-0.559452\pi$
$113$	−72.3983	−	10.4093i	−0.640693	−	0.0921177i	−0.455002	+	0.890491i	$0.650361\pi$
$114$	−206.594	+	16.2687i	−1.81223	+	0.142708i
$115$	−15.0305	+	32.9122i	−0.130700	+	0.286193i
$116$	−123.954	−	107.406i	−1.06857	−	0.925918i
$117$	−151.700	+	71.9311i	−1.29658	+	0.614796i
$118$	41.3236	+	287.412i	0.350200	+	2.43569i
$119$	219.462	+	100.225i	1.84422	+	0.842225i
$120$	−66.2170	−	4.25797i	−0.551808	−	0.0354830i
$121$	−116.059	+	34.0780i	−0.959166	+	0.281637i
$122$	27.4900	+	93.6224i	0.225328	+	0.767397i
$123$	155.273	+	153.058i	1.26239	+	1.24437i
$124$	−81.3946	+	52.3091i	−0.656408	+	0.421848i
$125$	80.2048	−	36.6283i	0.641638	−	0.293026i
$126$	−342.188	−	213.026i	−2.71578	−	1.69068i
$127$	−10.8909	−	23.8478i	−0.0857555	−	0.187778i	0.861896	−	0.507085i	$-0.169277\pi$
$127$	−10.8909	−	23.8478i	−0.0857555	−	0.187778i	−0.947651	+	0.319307i	$0.896550\pi$
$128$	−232.250	−	33.3925i	−1.81445	−	0.260879i
$129$	108.073	−	109.637i	0.837775	−	0.849901i
$130$	78.5392	−	90.6391i	0.604148	−	0.697224i
$131$	−15.9810	+	24.8669i	−0.121992	+	0.189824i	−0.896879	−	0.442277i	$-0.854171\pi$
$131$	−15.9810	+	24.8669i	−0.121992	+	0.189824i	0.774886	+	0.632101i	$0.217807\pi$
$132$	−3.99160	−	2.14249i	−0.0302394	−	0.0162310i
$133$	270.428			2.03329
$134$	−176.776	+	141.794i	−1.31922	+	1.05816i
$135$	−18.9674	−	47.6883i	−0.140499	−	0.353247i
$136$	−88.0744	−	192.856i	−0.647606	−	1.41806i
$137$	118.917	−	185.039i	0.868009	−	1.35065i	−0.0676375	−	0.997710i	$-0.521546\pi$
$137$	118.917	−	185.039i	0.868009	−	1.35065i	0.935647	−	0.352938i	$-0.114817\pi$
$138$	192.750	+	12.3945i	1.39674	+	0.0898149i
$139$	−7.87365	−	54.7624i	−0.0566450	−	0.393974i	−0.998344	−	0.0575191i	$-0.981681\pi$
$139$	−7.87365	−	54.7624i	−0.0566450	−	0.393974i	0.941699	−	0.336455i	$-0.109228\pi$
$140$	185.359	+	26.6505i	1.32399	+	0.190361i
$141$	145.359	+	78.0215i	1.03091	+	0.553344i
$142$	72.8623	+	21.3943i	0.513115	+	0.150664i
$143$	3.44398	−	1.57281i	0.0240838	−	0.0109987i
$144$	25.5200	+	82.5083i	0.177223	+	0.572975i
$145$	5.96327	+	41.4755i	0.0411260	+	0.286038i
$146$	21.7889	+	74.2063i	0.149239	+	0.508262i
$147$	305.025	+	224.938i	2.07500	+	1.53019i
$148$	−9.19714	+	10.6141i	−0.0621429	+	0.0717167i
$149$	−178.295	−	81.4245i	−1.19661	−	0.546473i	−0.285396	−	0.958410i	$-0.592125\pi$
$149$	−178.295	−	81.4245i	−1.19661	−	0.546473i	−0.911213	+	0.411937i	$0.864853\pi$
$150$	−154.550	−	152.345i	−1.03034	−	1.01563i
$151$	−55.9480	−	64.5674i	−0.370516	−	0.427599i	0.539619	−	0.841909i	$-0.318568\pi$
$151$	−55.9480	−	64.5674i	−0.370516	−	0.427599i	−0.910136	+	0.414310i	$0.864023\pi$
$152$	−179.599	−	155.624i	−1.18157	−	1.02384i
$153$	105.596	−	125.462i	0.690168	−	0.820014i
$154$	7.64696	+	4.91440i	0.0496556	+	0.0319117i
$155$	24.4669	+	3.51780i	0.157851	+	0.0226955i
$156$	−391.161	−	142.703i	−2.50744	−	0.914761i
$157$	204.325	+	131.312i	1.30143	+	0.836379i	0.993367	−	0.114986i	$-0.0366825\pi$
$157$	204.325	+	131.312i	1.30143	+	0.836379i	0.308064	+	0.951366i	$0.400319\pi$
$158$	−141.674	+	122.761i	−0.896668	+	0.776967i
$159$	−43.5888	+	59.1083i	−0.274143	+	0.371750i
$160$	17.5348	+	20.2363i	0.109593	+	0.126477i
$161$	−249.482	−	35.8701i	−1.54958	−	0.222796i
$162$	−201.811	+	185.288i	−1.24575	+	1.14375i
$163$	−280.421			−1.72038			−0.860188	−	0.509977i	$-0.829654\pi$
$163$	−280.421			−1.72038			−0.860188	+	0.509977i	$0.829654\pi$
$164$			540.728i			3.29712i
$165$	0.412243	+	1.08147i	0.00249844	+	0.00655436i
$166$	−50.2495	+	32.2934i	−0.302708	+	0.194538i
$167$	−163.773	−	74.7927i	−0.980678	−	0.447861i	−0.140447	−	0.990088i	$-0.544854\pi$
$167$	−163.773	−	74.7927i	−0.980678	−	0.447861i	−0.840232	+	0.542228i	$0.817581\pi$
$168$	−101.496	−	450.947i	−0.604145	−	2.68421i
$169$	150.573	−	96.7672i	0.890962	−	0.572587i
$170$	−33.0032	+	112.399i	−0.194137	+	0.661168i
$171$	49.2451	−	177.088i	0.287983	−	1.03560i
$172$	381.804			2.21979
$173$	69.6353	−	237.156i	0.402516	−	1.37084i	−0.470176	−	0.882573i	$-0.655810\pi$
$173$	69.6353	−	237.156i	0.402516	−	1.37084i	0.872692	−	0.488271i	$-0.162372\pi$
$174$	195.547	−	108.608i	1.12383	−	0.624183i
$175$	185.450	+	214.021i	1.05972	+	1.22298i
$176$	−0.548714	−	1.86875i	−0.00311770	−	0.0106179i
$177$	−252.045	−	52.9354i	−1.42399	−	0.299070i
$178$	−237.146	−	152.405i	−1.33228	−	0.856206i
$179$	164.853	+	256.516i	0.920965	+	1.43305i	0.901277	+	0.433244i	$0.142631\pi$
$179$	164.853	+	256.516i	0.920965	+	1.43305i	0.0196886	+	0.999806i	$0.493733\pi$
$180$	51.2058	−	116.528i	0.284477	−	0.647377i
$181$	−145.606	−	93.5751i	−0.804452	−	0.516990i	0.0726140	−	0.997360i	$-0.476866\pi$
$181$	−145.606	−	93.5751i	−0.804452	−	0.516990i	−0.877066	+	0.480370i	$0.840502\pi$
$182$	759.966	+	347.065i	4.17564	+	1.90695i
$183$	−86.3666	−	5.55365i	−0.471949	−	0.0303478i
$184$	145.046	+	167.392i	0.788293	+	0.909739i
$185$	3.55152	−	0.510631i	0.0191974	−	0.00276017i
$186$	−28.9744	−	128.733i	−0.155776	−	0.692113i
$187$	−2.42173	+	2.79483i	−0.0129504	+	0.0149456i
$188$	115.271	+	392.576i	0.613142	+	2.08817i
$189$	281.521	−	220.370i	1.48953	−	1.16598i
$190$	18.6865	+	129.968i	0.0983500	+	0.684040i
$191$	71.1553	+	110.720i	0.372541	+	0.579685i	0.976017	−	0.217696i	$-0.0698543\pi$
$191$	71.1553	+	110.720i	0.372541	+	0.579685i	−0.603476	+	0.797381i	$0.706218\pi$
$192$	122.060	−	227.405i	0.635729	−	1.18440i
$193$	−274.799	−	80.6882i	−1.42383	−	0.418074i	−0.523031	−	0.852314i	$-0.675199\pi$
$193$	−274.799	−	80.6882i	−1.42383	−	0.418074i	−0.900797	+	0.434240i	$0.857017\pi$
$194$	169.555	−	77.4330i	0.873993	−	0.399139i
$195$	51.6498	+	92.9948i	0.264871	+	0.476896i
$196$	133.767	+	930.370i	0.682485	+	4.74679i
$197$	−119.935	−	103.924i	−0.608806	−	0.527533i	0.294988	−	0.955501i	$-0.404684\pi$
$197$	−119.935	−	103.924i	−0.608806	−	0.527533i	−0.903794	+	0.427968i	$0.859230\pi$
$198$	4.61068	−	4.11265i	0.0232863	−	0.0207710i
$199$	−55.7389	−	122.051i	−0.280095	−	0.613323i	0.716334	−	0.697758i	$-0.245819\pi$
$199$	−55.7389	−	122.051i	−0.280095	−	0.613323i	−0.996429	+	0.0844350i	$0.973091\pi$
$200$		−	248.859i		−	1.24429i
$201$	−64.4122	−	190.400i	−0.320459	−	0.947262i
$202$	92.5532			0.458184
$203$	−265.516	+	121.257i	−1.30796	+	0.597326i
$204$	405.441	−	31.9273i	1.98746	−	0.156506i
$205$	90.4651	−	104.402i	0.441293	−	0.509279i
$206$	232.579	−	33.4399i	1.12903	−	0.162330i
$207$	−68.9201	+	156.840i	−0.332947	+	0.757680i
$208$	−74.3632	−	162.833i	−0.357515	−	0.782849i
$209$	−1.16781	+	3.97720i	−0.00558762	+	0.0190297i
$210$	−120.783	+	225.026i	−0.575157	+	1.07155i
$211$	−27.0860	+	17.4071i	−0.128370	+	0.0824982i	−0.603250	−	0.797552i	$-0.706128\pi$
$211$	−27.0860	+	17.4071i	−0.128370	+	0.0824982i	0.474880	+	0.880051i	$0.342491\pi$
$212$	−180.289	+	25.9216i	−0.850418	+	0.122272i
$213$	−39.9754	+	54.2085i	−0.187678	+	0.254500i
$214$	5.56958	−	1.63538i	0.0260261	−	0.00764194i
$215$	−73.7176	−	63.8766i	−0.342872	−	0.297101i
$216$	−313.783	−	15.6534i	−1.45270	−	0.0724695i
$217$	24.5055	+	170.439i	0.112928	+	0.785434i
$218$	429.419	−	372.093i	1.96981	−	1.70685i
$219$	−68.4552	−	4.40189i	−0.312581	−	0.0201000i
$220$	−1.19240	+	2.61099i	−0.00542000	+	0.0118682i
$221$	−183.761	+	285.937i	−0.831496	+	1.29383i
$222$	−9.30002	−	16.7446i	−0.0418920	−	0.0754259i
$223$	182.713	−	117.423i	0.819343	−	0.526560i	−0.0625321	−	0.998043i	$-0.519918\pi$
$223$	182.713	−	117.423i	0.819343	−	0.526560i	0.881875	+	0.471483i	$0.156281\pi$
$224$	−100.845	+	156.917i	−0.450199	+	0.700523i
$225$	173.921	−	82.4677i	0.772982	−	0.366523i
$226$	237.373	−	69.6989i	1.05032	−	0.308402i
$227$	28.0107	−	24.2714i	0.123395	−	0.106922i	−0.590977	−	0.806688i	$-0.701258\pi$
$227$	28.0107	−	24.2714i	0.123395	−	0.106922i	0.714372	+	0.699766i	$0.246712\pi$
$228$	398.516	−	221.338i	1.74788	−	0.970782i
$229$	43.8299	+	12.8696i	0.191397	+	0.0561993i	0.376026	−	0.926609i	$-0.377290\pi$
$229$	43.8299	+	12.8696i	0.191397	+	0.0561993i	−0.184629	+	0.982808i	$0.559108\pi$
$230$		−	122.379i		−	0.532085i
$231$	−6.41943	+	4.87788i	−0.0277897	+	0.0211164i
$232$	246.117	+	72.2665i	1.06085	+	0.311494i
$233$	37.0618	+	57.6693i	0.159064	+	0.247508i	0.911633	−	0.411005i	$-0.134822\pi$
$233$	37.0618	+	57.6693i	0.159064	+	0.247508i	−0.752569	+	0.658513i	$0.771186\pi$
$234$	365.664	−	434.459i	1.56266	−	1.85666i
$235$	43.4227	−	95.0825i	0.184777	−	0.404606i
$236$	−345.323	−	537.333i	−1.46323	−	2.27684i
$237$	−59.2233	−	155.365i	−0.249887	−	0.655550i
$238$	−816.038			−3.42873
$239$		−	473.963i		−	1.98311i	−0.129694	−	0.991554i	$-0.541400\pi$
$239$		−	473.963i		−	1.98311i	0.129694	−	0.991554i	$-0.458600\pi$
$240$	51.1323	−	19.4910i	0.213051	−	0.0812124i
$241$	−2.39033	+	16.6251i	−0.00991836	+	0.0689837i	−0.994179	−	0.107737i	$-0.965640\pi$
$241$	−2.39033	+	16.6251i	−0.00991836	+	0.0689837i	0.984261	+	0.176720i	$0.0565488\pi$
$242$	309.195	−	267.919i	1.27767	−	1.10710i
$243$	−93.0426	−	224.482i	−0.382891	−	0.923793i
$244$	−140.558	−	162.213i	−0.576058	−	0.664806i
$245$	129.826	−	202.013i	0.529901	−	0.824541i
$246$	−692.786	−	252.741i	−2.81620	−	1.02740i
$247$	−54.2191	+	377.102i	−0.219511	+	1.52673i
$248$	81.8080	−	127.296i	0.329871	−	0.513289i
$249$	−11.6333	−	51.6866i	−0.0467200	−	0.207577i
$250$	−195.299	+	225.388i	−0.781198	+	0.901550i
$251$	−227.136	+	196.815i	−0.904925	+	0.784122i	−0.976992	−	0.213278i	$-0.931586\pi$
$251$	−227.136	+	196.815i	−0.904925	+	0.784122i	0.0720668	+	0.997400i	$0.477041\pi$
$252$	879.362	+	113.561i	3.48953	+	0.450640i
$253$	1.60490	−	3.51425i	0.00634349	−	0.0138903i
$254$	67.0160	+	58.0697i	0.263843	+	0.228621i
$255$	−83.6229	−	61.6668i	−0.327933	−	0.241831i
$256$	431.296	−	126.640i	1.68475	−	0.494687i
$257$	−213.839	+	30.7453i	−0.832057	+	0.119632i	−0.545162	−	0.838331i	$-0.683532\pi$
$257$	−213.839	+	30.7453i	−0.832057	+	0.119632i	−0.286894	+	0.957962i	$0.592623\pi$
$258$	−178.458	+	489.170i	−0.691698	+	1.89601i
$259$	10.3832	+	22.7360i	0.0400895	+	0.0877837i
$260$	−74.3265	+	253.133i	−0.285871	+	0.973587i
$261$	31.0540	+	195.953i	0.118981	+	0.750777i
$262$	14.2286	−	98.9622i	0.0543077	−	0.377718i
$263$	−4.58144	+	0.658711i	−0.0174199	+	0.00250460i	−0.151019	−	0.988531i	$-0.548256\pi$
$263$	−4.58144	+	0.658711i	−0.0174199	+	0.00250460i	0.133599	+	0.991035i	$0.457346\pi$
$264$	7.07041	+	0.454650i	0.0267819	+	0.00172216i
$265$	39.1463	+	25.1578i	0.147722	+	0.0949352i
$266$	−832.022	+	379.972i	−3.12790	+	1.42847i
$267$	199.078	−	151.272i	0.745611	−	0.566562i
$268$	224.147	−	445.259i	0.836368	−	1.66142i
$269$			455.690i			1.69401i	0.531581	+	0.847007i	$0.321598\pi$
$269$			455.690i			1.69401i	−0.531581	+	0.847007i	$0.678402\pi$
$270$	125.362	+	120.071i	0.464306	+	0.444709i
$271$	−27.7764	−	17.8508i	−0.102496	−	0.0658702i	0.488389	−	0.872626i	$-0.337585\pi$
$271$	−27.7764	−	17.8508i	−0.102496	−	0.0658702i	−0.590885	+	0.806756i	$0.701221\pi$
$272$	132.140	+	114.500i	0.485810	+	0.420957i
$273$	−520.205	+	527.735i	−1.90551	+	1.93309i
$274$	−105.877	+	736.394i	−0.386414	+	2.68757i
$275$	−3.94846	+	1.80320i	−0.0143581	+	0.00655710i
$276$	−397.008	+	151.334i	−1.43843	+	0.548313i
$277$	−46.0292	−	100.790i	−0.166170	−	0.363862i	0.808168	−	0.588953i	$-0.200460\pi$
$277$	−46.0292	−	100.790i	−0.166170	−	0.363862i	−0.974338	+	0.225090i	$0.927732\pi$
$278$	101.170	+	157.424i	0.363921	+	0.566272i
$279$	116.074	+	14.9898i	0.416034	+	0.0537269i
$280$	−281.006	+	82.5109i	−1.00359	+	0.294682i
$281$	−88.3506	−	300.895i	−0.314415	−	1.07080i	−0.953432	−	0.301607i	$-0.902477\pi$
$281$	−88.3506	−	300.895i	−0.314415	−	1.07080i	0.639017	−	0.769192i	$-0.279341\pi$
$282$	−556.850	−	35.8073i	−1.97464	−	0.126976i
$283$	92.1341	−	201.745i	0.325562	−	0.712881i	−0.674106	−	0.738634i	$-0.735471\pi$
$283$	92.1341	−	201.745i	0.325562	−	0.712881i	0.999668	+	0.0257529i	$0.00819831\pi$
$284$	−165.343	+	23.7728i	−0.582195	+	0.0837070i
$285$	−113.975	−	23.9374i	−0.399912	−	0.0839907i
$286$	−8.38613	+	9.67811i	−0.0293221	+	0.0338396i
$287$	875.364	+	399.766i	3.05005	+	1.39291i
$288$	84.3925	+	94.6122i	0.293029	+	0.328514i
$289$	6.11815	−	42.5527i	0.0211701	−	0.147241i
$290$	−76.6233	−	119.228i	−0.264218	−	0.411131i
$291$	12.9790	+	164.818i	0.0446012	+	0.566386i
$292$	−111.408	−	128.572i	−0.381535	−	0.440314i
$293$	−77.3306	−	263.364i	−0.263927	−	0.898853i	−0.979691	−	0.200511i	$-0.935740\pi$
$293$	−77.3306	−	263.364i	−0.263927	−	0.898853i	0.715764	−	0.698342i	$-0.246078\pi$
$294$	−1254.52	−	263.479i	−4.26708	−	0.896186i
$295$	−23.2231	+	161.520i	−0.0787223	+	0.547526i
$296$	6.18813	−	21.0748i	0.0209059	−	0.0711988i
$297$	2.02527	+	5.09199i	0.00681910	+	0.0171447i
$298$	662.964			2.22471
$299$	100.039	−	340.702i	0.334579	−	1.13947i
$300$	448.459	+	163.606i	1.49486	+	0.545353i
$301$	282.271	−	618.087i	0.937777	−	2.05345i
$302$	262.856	+	120.043i	0.870386	+	0.397492i
$303$	−28.1345	+	77.1193i	−0.0928531	+	0.254519i
$304$	188.043	+	55.2145i	0.618564	+	0.181627i
$305$			54.8353i			0.179788i
$306$	−148.601	+	534.378i	−0.485624	+	1.74633i
$307$	−309.982	−	91.0189i	−1.00971	−	0.296479i	−0.265277	−	0.964172i	$-0.585463\pi$
$307$	−309.982	−	91.0189i	−1.00971	−	0.296479i	−0.744436	+	0.667694i	$0.767282\pi$
$308$	−19.7919	−	2.84565i	−0.0642595	−	0.00923912i
$309$	−42.8364	+	203.960i	−0.138629	+	0.660065i
$310$	−80.2196	+	23.5546i	−0.258773	+	0.0759826i
$311$	264.473	−	229.167i	0.850395	−	0.736872i	−0.116187	−	0.993227i	$-0.537067\pi$
$311$	264.473	−	229.167i	0.850395	−	0.736872i	0.966583	+	0.256356i	$0.0825218\pi$
$312$	649.179	−	51.1209i	2.08070	−	0.163849i
$313$	58.9590	−	37.8907i	0.188367	−	0.121056i	−0.443058	−	0.896493i	$-0.646106\pi$
$313$	58.9590	−	37.8907i	0.188367	−	0.121056i	0.631426	+	0.775436i	$0.282470\pi$
$314$	−813.145	−	116.913i	−2.58964	−	0.372333i
$315$	−150.786	−	169.045i	−0.478684	−	0.536652i
$316$	171.302	−	375.099i	0.542094	−	1.18702i
$317$	83.8807	+	72.6831i	0.264608	+	0.229284i	0.777052	−	0.629437i	$-0.216714\pi$
$317$	83.8807	+	72.6831i	0.264608	+	0.229284i	−0.512444	+	0.858721i	$0.671260\pi$
$318$	51.0573	−	243.103i	0.160558	−	0.764475i
$319$	−0.636737	−	4.42860i	−0.00199604	−	0.0138828i
$320$	−148.751	−	67.9322i	−0.464846	−	0.212288i
$321$	−0.330386	+	5.13793i	−0.00102924	+	0.0160060i
$322$	817.978	−	240.180i	2.54030	−	0.745900i
$323$	−104.839	−	357.047i	−0.324578	−	1.10541i
$324$	234.497	−	555.165i	0.723756	−	1.71347i
$325$	−335.626	+	215.694i	−1.03270	+	0.663674i
$326$	862.768	−	394.013i	2.64653	−	1.20863i
$327$	179.509	+	470.919i	0.548956	+	1.44012i
$328$	−351.301	−	769.243i	−1.07104	−	2.34525i
$329$	720.747	+	103.628i	2.19072	+	0.314978i
$330$	−2.78789	−	2.74811i	−0.00844815	−	0.00832761i
$331$	−376.722	+	434.760i	−1.13813	+	1.31348i	−0.195097	+	0.980784i	$0.562502\pi$
$331$	−376.722	+	434.760i	−1.13813	+	1.31348i	−0.943036	+	0.332691i	$0.892043\pi$
$332$	71.0366	−	110.535i	0.213966	−	0.332937i
$333$	16.7793	−	2.65913i	0.0503883	−	0.00798537i
$334$	608.968			1.82326
$335$	−117.770	+	48.4691i	−0.351554	+	0.144684i
$336$	230.628	+	303.513i	0.686393	+	0.903311i
$337$	−172.897	−	378.592i	−0.513048	−	1.12342i	−0.972005	−	0.234960i	$-0.924504\pi$
$337$	−172.897	−	378.592i	−0.513048	−	1.12342i	0.458957	−	0.888459i	$-0.348223\pi$
$338$	−327.300	+	509.288i	−0.968342	+	1.50677i
$339$	−14.0809	+	218.976i	−0.0415365	+	0.645947i
$340$	−36.6723	−	255.062i	−0.107860	−	0.750181i
$341$	−2.61248	−	0.375618i	−0.00766124	−	0.00110152i
$342$	97.3107	+	614.038i	0.284534	+	1.79543i
$343$	982.494	+	288.486i	2.86441	+	0.841068i
$344$	−543.156	+	248.051i	−1.57894	+	0.721078i
$345$	101.972	+	37.2011i	0.295570	+	0.107829i
$346$	118.976	+	827.497i	0.343862	+	2.39161i
$347$	−52.7393	−	179.614i	−0.151986	−	0.517618i	0.847936	−	0.530099i	$-0.177845\pi$
$347$	−52.7393	−	179.614i	−0.151986	−	0.517618i	−0.999922	+	0.0124808i	$0.996027\pi$
$348$	−292.032	+	396.009i	−0.839174	+	1.13796i
$349$	−327.758	+	378.253i	−0.939135	+	1.08382i	0.0572068	+	0.998362i	$0.481781\pi$
$349$	−327.758	+	378.253i	−0.939135	+	1.08382i	−0.996342	+	0.0854572i	$0.972765\pi$
$350$	−871.287	−	397.904i	−2.48939	−	1.13687i
$351$	250.854	+	436.754i	0.714685	+	1.24431i
$352$	−1.87231	−	2.16076i	−0.00531905	−	0.00613851i
$353$	95.4876	+	82.7405i	0.270503	+	0.234392i	0.779540	−	0.626352i	$-0.215453\pi$
$353$	95.4876	+	82.7405i	0.270503	+	0.234392i	−0.509037	+	0.860745i	$0.669998\pi$
$354$	849.843	−	191.277i	2.40069	−	0.540331i
$355$	35.9013	+	23.0723i	0.101130	+	0.0649925i
$356$	613.783	+	88.2487i	1.72411	+	0.247890i
$357$	248.061	−	679.957i	0.694848	−	1.90464i
$358$	−867.624	−	557.588i	−2.42353	−	1.55751i
$359$	−357.259	+	309.567i	−0.995151	+	0.862303i	−0.990476	−	0.137686i	$-0.956034\pi$
$359$	−357.259	+	309.567i	−0.995151	+	0.862303i	−0.00467508	+	0.999989i	$0.501488\pi$
$360$	2.86041	+	199.041i	0.00794558	+	0.552891i
$361$	−36.7394	−	42.3995i	−0.101771	−	0.117450i
$362$	579.463	+	83.3142i	1.60073	+	0.230150i
$363$	129.252	+	339.077i	0.356066	+	0.934097i
$364$	−1837.80			−5.04889
$365$			43.4631i			0.119077i
$366$	273.526	−	104.265i	0.747339	−	0.284876i
$367$	−238.329	+	153.165i	−0.649398	+	0.417343i	−0.823446	−	0.567394i	$-0.807952\pi$
$367$	−238.329	+	153.165i	−0.649398	+	0.417343i	0.174048	+	0.984737i	$0.444315\pi$
$368$	−166.155	−	75.8803i	−0.451507	−	0.206196i
$369$	421.188	−	500.430i	1.14143	−	1.35618i
$370$	−10.2094	+	6.56120i	−0.0275930	+	0.0177330i
$371$	−91.3255	+	311.026i	−0.246161	+	0.838346i
$372$	175.612	+	231.111i	0.472077	+	0.621265i
$373$	162.874			0.436660			0.218330	−	0.975875i	$-0.429939\pi$
$373$	162.874			0.436660			0.218330	+	0.975875i	$0.429939\pi$
$374$	3.52396	−	12.0015i	0.00942237	−	0.0320896i
$375$	−128.435	−	231.245i	−0.342493	−	0.616654i
$376$	−419.034	−	483.591i	−1.11445	−	1.28615i
$377$	−115.855	−	394.564i	−0.307307	−	1.04659i
$378$	−556.516	+	1073.57i	−1.47226	+	2.84012i
$379$	127.977	+	82.2460i	0.337671	+	0.217008i	0.698476	−	0.715633i	$-0.253862\pi$
$379$	127.977	+	82.2460i	0.337671	+	0.217008i	−0.360805	+	0.932641i	$0.617498\pi$
$380$	−156.155	−	242.982i	−0.410934	−	0.639426i
$381$	−68.7578	+	38.1884i	−0.180467	+	0.100232i
$382$	−374.492	−	240.672i	−0.980346	−	0.630030i
$383$	244.039	+	111.449i	0.637178	+	0.290989i	0.707692	−	0.706522i	$-0.249737\pi$
$383$	244.039	+	111.449i	0.637178	+	0.290989i	−0.0705140	+	0.997511i	$0.522464\pi$
$384$	−45.1707	+	702.464i	−0.117632	+	1.82933i
$385$	3.34528	+	3.86066i	0.00868905	+	0.0100277i
$386$	958.842	−	137.861i	2.48405	−	0.357152i
$387$	−353.349	−	297.397i	−0.913047	−	0.768469i
$388$	−268.511	+	309.878i	−0.692039	+	0.798655i
$389$	111.756	+	380.605i	0.287290	+	0.978419i	0.969054	+	0.246847i	$0.0793946\pi$
$389$	111.756	+	380.605i	0.287290	+	0.978419i	−0.681765	+	0.731572i	$0.738787\pi$
$390$	−289.575	−	213.544i	−0.742500	−	0.547548i
$391$	49.3588	+	343.298i	0.126237	+	0.878000i
$392$	−794.742	−	1236.64i	−2.02740	−	3.15470i
$393$	78.1343	+	41.9386i	0.198815	+	0.106714i
$394$	515.023	+	151.224i	1.30716	+	0.383818i
$395$	−95.8293	+	43.7638i	−0.242606	+	0.110794i
$396$	−5.46757	+	12.4424i	−0.0138070	+	0.0314203i
$397$	−20.6197	−	143.413i	−0.0519387	−	0.361241i	−0.999172	−	0.0406953i	$-0.987043\pi$
$397$	−20.6197	−	143.413i	−0.0519387	−	0.361241i	0.947233	−	0.320546i	$-0.103866\pi$
$398$	342.982	+	297.196i	0.861764	+	0.746723i
$399$	−63.6890	−	808.780i	−0.159622	−	2.02702i
$400$	85.2560	+	186.685i	0.213140	+	0.466712i
$401$			36.4757i			0.0909617i	0.998965	+	0.0454809i	$0.0144820\pi$
$401$			36.4757i			0.0909617i	−0.998965	+	0.0454809i	$0.985518\pi$
$402$	465.702	+	495.296i	1.15846	+	1.23208i
$403$	−242.585			−0.601947
$404$	−185.194	+	84.5752i	−0.458400	+	0.209344i
$405$	−138.156	+	67.9578i	−0.341127	+	0.167797i
$406$	646.535	−	746.141i	1.59245	−	1.83778i
$407$	−0.379218	+	0.0545233i	−0.000931740	+	0.000133964i
$408$	−556.040	+	308.828i	−1.36284	+	0.756931i
$409$	−155.529	−	340.560i	−0.380265	−	0.832665i	−0.998896	−	0.0469828i	$-0.985039\pi$
$409$	−155.529	−	340.560i	−0.380265	−	0.832665i	0.618630	−	0.785682i	$-0.287688\pi$
$410$	−131.640	+	448.323i	−0.321072	+	1.09347i
$411$	−581.410	−	312.072i	−1.41462	−	0.759299i
$412$	−434.821	+	279.442i	−1.05539	+	0.678258i
$413$	−1125.17	+	161.775i	−2.72438	+	0.391707i
$414$	−8.32632	−	579.385i	−0.0201119	−	1.39948i
$415$	−32.2083	+	9.45722i	−0.0776104	+	0.0227885i
$416$	−198.597	−	172.085i	−0.477396	−	0.413666i
$417$	−161.926	+	36.4453i	−0.388312	+	0.0873987i
$418$	−1.99528	−	13.8775i	−0.00477339	−	0.0331997i
$419$	−242.198	+	209.866i	−0.578038	+	0.500873i	−0.894101	−	0.447865i	$-0.852184\pi$
$419$	−242.198	+	209.866i	−0.578038	+	0.500873i	0.316063	+	0.948738i	$0.397639\pi$
$420$	36.0507	−	560.636i	0.0858350	−	1.33485i
$421$	50.1363	−	109.783i	0.119089	−	0.260768i	−0.840695	−	0.541509i	$-0.817853\pi$
$421$	50.1363	−	109.783i	0.119089	−	0.260768i	0.959783	+	0.280742i	$0.0905804\pi$
$422$	58.8768	−	91.6141i	0.139518	−	0.217095i
$423$	199.108	−	453.106i	0.470705	−	1.07117i
$424$	239.639	−	154.006i	0.565185	−	0.363223i
$425$	210.678	−	327.822i	0.495713	−	0.771345i
$426$	46.8249	−	222.951i	0.109918	−	0.523359i
$427$	−366.516	+	107.619i	−0.858351	+	0.252035i
$428$	−9.65000	+	8.36178i	−0.0225467	+	0.0195369i
$429$	−5.51498	−	9.92965i	−0.0128554	−	0.0231460i
$430$	316.557	+	92.9496i	0.736179	+	0.216162i
$431$			468.008i			1.08587i	0.839776	+	0.542933i	$0.182686\pi$
$431$			468.008i			1.08587i	−0.839776	+	0.542933i	$0.817314\pi$
$432$	240.751	−	95.7556i	0.557294	−	0.221656i
$433$	−105.652	−	31.0222i	−0.244000	−	0.0716448i	0.157446	−	0.987528i	$-0.449674\pi$
$433$	−105.652	−	31.0222i	−0.244000	−	0.0716448i	−0.401446	+	0.915883i	$0.631492\pi$
$434$	−314.875	−	489.956i	−0.725519	−	1.12893i
$435$	122.638	−	27.6026i	0.281926	−	0.0634542i
$436$	−519.223	+	1136.94i	−1.19088	+	2.60766i
$437$	210.176	+	327.040i	0.480951	+	0.748374i
$438$	216.800	−	82.6415i	0.494978	−	0.188679i
$439$	647.788			1.47560			0.737800	−	0.675020i	$-0.235865\pi$
$439$	647.788			1.47560			0.737800	+	0.675020i	$0.235865\pi$
$440$		−	4.48909i		−	0.0102025i
$441$	600.893	−	965.227i	1.36257	−	2.18872i
$442$	163.610	−	1137.94i	0.370159	−	2.57452i
$443$	272.691	−	236.288i	0.615556	−	0.533382i	−0.290318	−	0.956930i	$-0.593761\pi$
$443$	272.691	−	236.288i	0.615556	−	0.533382i	0.905874	+	0.423548i	$0.139216\pi$
$444$	33.9100	+	25.0065i	0.0763738	+	0.0563210i
$445$	−103.743	−	119.726i	−0.233131	−	0.269048i
$446$	−397.164	+	617.999i	−0.890502	+	1.38565i
$447$	−201.529	+	552.410i	−0.450848	+	1.23582i
$448$	162.119	−	1127.56i	0.361874	−	2.51689i
$449$	426.275	−	663.296i	0.949387	−	1.47727i	0.0720494	−	0.997401i	$-0.477046\pi$
$449$	426.275	−	663.296i	0.949387	−	1.47727i	0.877337	−	0.479874i	$-0.159318\pi$
$450$	−419.227	+	498.099i	−0.931615	+	1.10689i
$451$	−9.65954	+	11.1477i	−0.0214180	+	0.0247177i
$452$	−411.278	+	356.375i	−0.909907	+	0.788439i
$453$	−179.928	+	182.532i	−0.397192	+	0.402941i
$454$	−52.0769	+	114.032i	−0.114707	+	0.251173i
$455$	354.836	+	307.468i	0.779860	+	0.675753i
$456$	−423.132	+	573.786i	−0.927921	+	1.25830i
$457$	−394.905	+	115.955i	−0.864126	+	0.253730i	−0.683615	−	0.729843i	$-0.739593\pi$
$457$	−394.905	+	115.955i	−0.864126	+	0.253730i	−0.180511	+	0.983573i	$0.557775\pi$
$458$	−152.934	+	21.9886i	−0.333917	+	0.0480099i
$459$	−400.094	−	286.262i	−0.871665	−	0.623663i
$460$	111.830	+	244.874i	0.243109	+	0.532335i
$461$	47.9108	−	163.169i	0.103928	−	0.353946i	−0.891067	−	0.453872i	$-0.850042\pi$
$461$	47.9108	−	163.169i	0.103928	−	0.353946i	0.994995	+	0.0999259i	$0.0318606\pi$
$462$	12.8968	−	24.0275i	0.0279151	−	0.0520076i
$463$	−81.6700	+	568.027i	−0.176393	+	1.22684i	0.688632	+	0.725111i	$0.258212\pi$
$463$	−81.6700	+	568.027i	−0.176393	+	1.22684i	−0.865025	+	0.501729i	$0.832697\pi$
$464$	−209.386	+	30.1051i	−0.451262	+	0.0648817i
$465$	4.75860	−	74.0026i	0.0102336	−	0.159145i
$466$	−195.057	−	125.356i	−0.418578	−	0.269004i
$467$	117.484	−	53.6532i	0.251572	−	0.114889i	−0.285638	−	0.958338i	$-0.592206\pi$
$467$	117.484	−	53.6532i	0.251572	−	0.114889i	0.537210	+	0.843449i	$0.319478\pi$
$468$	−334.664	+	1203.47i	−0.715093	+	2.57152i
$469$	−555.099	−	692.047i	−1.18358	−	1.47558i
$470$			353.551i			0.752236i
$471$	344.598	−	642.008i	0.731630	−	1.36307i
$472$	840.354	+	540.063i	1.78041	+	1.14420i
$473$	7.87129	+	6.82052i	0.0166412	+	0.0144197i
$474$	400.512	+	394.797i	0.844961	+	0.832906i
$475$	62.1612	−	432.341i	0.130866	−	0.910191i
$476$	1632.85	−	745.695i	3.43035	−	1.56659i
$477$	187.043	+	116.442i	0.392124	+	0.244113i
$478$	665.953	+	1458.23i	1.39321	+	3.05070i
$479$	−70.4103	−	109.561i	−0.146994	−	0.228728i	0.759947	−	0.649986i	$-0.225225\pi$
$479$	−70.4103	−	109.561i	−0.146994	−	0.228728i	−0.906941	+	0.421258i	$0.861589\pi$
$480$	56.3918	−	57.2080i	0.117483	−	0.119183i
$481$	−33.7863	+	9.92055i	−0.0702417	+	0.0206248i
$482$	−16.0052	−	54.5087i	−0.0332058	−	0.113089i
$483$	−48.5222	+	754.584i	−0.100460	+	1.56229i
$484$	−373.857	+	818.634i	−0.772433	+	1.69139i
$485$	103.687	−	14.9079i	0.213787	−	0.0307379i
$486$	601.677	+	559.928i	1.23802	+	1.15212i
$487$	555.522	−	641.107i	1.14070	−	1.31644i	0.198998	−	0.980000i	$-0.436231\pi$
$487$	555.522	−	641.107i	1.14070	−	1.31644i	0.941705	−	0.336441i	$-0.109223\pi$
$488$	305.345	+	139.447i	0.625708	+	0.285751i
$489$	66.0426	+	838.668i	0.135056	+	1.71507i
$490$	−115.590	+	803.944i	−0.235897	+	1.64070i
$491$	337.021	+	524.416i	0.686398	+	1.06806i	0.993216	+	0.116288i	$0.0370995\pi$
$491$	337.021	+	524.416i	0.686398	+	1.06806i	−0.306817	+	0.951768i	$0.599264\pi$
$492$	1617.18	−	127.348i	3.28695	−	0.258837i
$493$	263.031	+	303.554i	0.533531	+	0.615728i
$494$	−363.042	−	1236.41i	−0.734903	−	2.50285i
$495$	3.13731	−	1.48761i	0.00633800	−	0.00300527i
$496$	−17.7594	+	123.519i	−0.0358052	+	0.249030i
$497$	−83.7550	+	285.243i	−0.168521	+	0.573930i
$498$	108.415	+	142.678i	0.217702	+	0.286501i
$499$	−278.542			−0.558201			−0.279101	−	0.960262i	$-0.590036\pi$
$499$	−278.542			−0.558201			−0.279101	+	0.960262i	$0.590036\pi$
$500$	184.824	−	629.452i	0.369648	−	1.25890i
$501$	−185.115	+	507.418i	−0.369491	+	1.01281i
$502$	422.287	−	924.680i	0.841209	−	1.84199i
$503$	−771.487	−	352.326i	−1.53377	−	0.700450i	−0.543475	−	0.839425i	$-0.682892\pi$
$503$	−771.487	−	352.326i	−1.53377	−	0.700450i	−0.990296	+	0.138975i	$0.955619\pi$
$504$	−1324.76	+	409.753i	−2.62850	+	0.813001i
$505$	49.9063	+	14.6538i	0.0988243	+	0.0290174i
$506$			13.0672i			0.0258246i
$507$	−324.867	−	427.534i	−0.640764	−	0.843262i
$508$	−187.159	−	54.9549i	−0.368424	−	0.108179i
$509$	705.626	+	101.454i	1.38630	+	0.199320i	0.794744	−	0.606945i	$-0.207605\pi$
$509$	705.626	+	101.454i	1.38630	+	0.199320i	0.591555	+	0.806265i	$0.298514\pi$
$510$	343.928	+	72.2329i	0.674368	+	0.141633i
$511$	−290.505	+	85.3000i	−0.568503	+	0.166928i
$512$	−439.711	+	381.012i	−0.858810	+	0.744163i
$513$	−541.223	−	105.573i	−1.05502	−	0.205795i
$514$	614.715	−	395.053i	1.19594	−	0.768586i
$515$	130.705	+	18.7926i	0.253797	+	0.0364905i
$516$	−89.9193	−	1141.88i	−0.174262	−	2.21294i
$517$	−4.63652	+	10.1526i	−0.00896812	+	0.0196375i
$518$	−63.8915	−	55.3623i	−0.123343	−	0.106877i
$519$	−725.672	−	152.408i	−1.39821	−	0.293657i
$520$	−58.7185	−	408.396i	−0.112920	−	0.785378i
$521$	800.123	+	365.404i	1.53575	+	0.701352i	0.990575	−	0.136973i	$-0.0437375\pi$
$521$	800.123	+	365.404i	1.53575	+	0.701352i	0.545171	+	0.838325i	$0.316465\pi$
$522$	−370.872	−	559.252i	−0.710482	−	1.07136i
$523$	644.057	−	189.112i	1.23147	−	0.361591i	0.399664	−	0.916662i	$-0.369127\pi$
$523$	644.057	−	189.112i	1.23147	−	0.361591i	0.831803	+	0.555070i	$0.187309\pi$
$524$	61.9610	+	211.020i	0.118246	+	0.402710i
$525$	596.406	−	605.038i	1.13601	−	1.15245i
$526$	13.1701	−	8.46391i	0.0250382	−	0.0160911i
$527$	215.531	−	98.4299i	0.408978	−	0.186774i
$528$	−5.45972	+	2.08118i	−0.0103404	+	0.00394162i
$529$	69.2374	+	151.609i	0.130883	+	0.286595i
$530$	−155.790	−	22.3992i	−0.293943	−	0.0422626i
$531$	−98.9564	+	766.269i	−0.186359	+	1.44307i
$532$	1317.61	−	1520.60i	2.47671	−	2.85828i
$533$	−732.964	+	1140.51i	−1.37517	+	2.13980i
$534$	−399.952	+	745.136i	−0.748974	+	1.39539i
$535$	3.26214			0.00609746
$536$	−29.5952	+	779.052i	−0.0552150	+	1.45346i
$537$	728.348	−	553.445i	1.35633	−	1.03062i
$538$	−640.279	−	1402.01i	−1.19011	−	2.60598i
$539$	−13.8623	+	21.5702i	−0.0257186	+	0.0400189i
$540$	−360.564	−	125.700i	−0.667712	−	0.232777i
$541$	9.14452	+	63.6016i	0.0169030	+	0.117563i	0.996526	−	0.0832822i	$-0.0265403\pi$
$541$	9.14452	+	63.6016i	0.0169030	+	0.117563i	−0.979623	+	0.200845i	$0.935631\pi$
$542$	110.541	+	15.8934i	0.203950	+	0.0293236i
$543$	−245.567	+	457.507i	−0.452242	+	0.842555i
$544$	246.274	+	72.3125i	0.452709	+	0.132927i
$545$	290.463	−	132.650i	0.532959	−	0.243394i
$546$	859.000	−	2354.60i	1.57326	−	4.31245i
$547$	−96.6938	−	672.520i	−0.176771	−	1.22947i	−0.864174	−	0.503194i	$-0.832158\pi$
$547$	−96.6938	−	672.520i	−0.176771	−	1.22947i	0.687402	−	0.726277i	$-0.258751\pi$
$548$	−461.062	−	1570.23i	−0.841354	−	2.86539i
$549$	3.73082	+	259.608i	0.00679567	+	0.472875i
$550$	9.61455	−	11.0958i	0.0174810	−	0.0201741i
$551$	409.527	+	187.025i	0.743243	+	0.339428i
$552$	466.466	−	473.218i	0.845047	−	0.857279i
$553$	−480.588	−	554.628i	−0.869055	−	1.00294i
$554$	283.234	+	245.424i	0.511254	+	0.443004i
$555$	−2.36359	−	10.5014i	−0.00425872	−	0.0189215i
$556$	−346.289	−	222.547i	−0.622823	−	0.400264i
$557$	−31.6493	−	4.55048i	−0.0568209	−	0.00816962i	0.113846	−	0.993498i	$-0.463683\pi$
$557$	−31.6493	−	4.55048i	−0.0568209	−	0.00816962i	−0.170667	+	0.985329i	$0.554592\pi$
$558$	−378.184	+	116.973i	−0.677748	+	0.209629i
$559$	805.307	+	517.540i	1.44062	+	0.925831i
$560$	182.533	−	158.166i	0.325952	−	0.282439i
$561$	8.92895	+	6.58456i	0.0159161	+	0.0117372i
$562$	694.607	+	801.619i	1.23595	+	1.42637i
$563$	731.003	+	105.102i	1.29841	+	0.186683i	0.756632	−	0.653841i	$-0.226844\pi$
$563$	731.003	+	105.102i	1.29841	+	0.186683i	0.541775	+	0.840524i	$0.317753\pi$
$564$	1146.95	−	437.201i	2.03359	−	0.775179i
$565$	139.031			0.246072
$566$			750.163i			1.32538i
$567$	−725.370	−	790.057i	−1.27931	−	1.39340i
$568$	219.774	−	141.240i	0.386925	−	0.248662i
$569$	−651.061	−	297.329i	−1.14422	−	0.522547i	−0.249145	−	0.968466i	$-0.580150\pi$
$569$	−651.061	−	297.329i	−1.14422	−	0.522547i	−0.895073	+	0.445919i	$0.852877\pi$
$570$	384.298	−	86.4954i	0.674208	−	0.151746i
$571$	387.226	−	248.855i	0.678155	−	0.435824i	−0.155702	−	0.987804i	$-0.549764\pi$
$571$	387.226	−	248.855i	0.678155	−	0.435824i	0.833857	+	0.551980i	$0.186128\pi$
$572$	7.93631	−	27.0286i	0.0138747	−	0.0472528i
$573$	314.376	−	238.883i	0.548650	−	0.416899i
$574$	−3254.92			−5.67059
$575$	−114.693	+	390.609i	−0.199466	+	0.679319i
$576$	−708.857	−	311.493i	−1.23065	−	0.540786i
$577$	604.364	+	697.474i	1.04743	+	1.20879i	0.977433	+	0.211246i	$0.0677520\pi$
$577$	604.364	+	697.474i	1.04743	+	1.20879i	0.0699921	+	0.997548i	$0.477703\pi$
$578$	40.9661	+	139.518i	0.0708756	+	0.241380i
$579$	−176.599	+	840.855i	−0.305007	+	1.45225i
$580$	262.269	+	168.550i	0.452189	+	0.290604i
$581$	−126.423	−	196.718i	−0.217596	−	0.338585i
$582$	−271.514	−	488.858i	−0.466519	−	0.839962i
$583$	−4.17990	−	2.68626i	−0.00716965	−	0.00460765i
$584$	242.020	+	110.527i	0.414419	+	0.189259i
$585$	265.959	−	176.373i	0.454631	−	0.301492i
$586$	607.968	+	701.633i	1.03749	+	1.19733i
$587$	−780.998	+	112.291i	−1.33049	+	0.191296i	−0.770626	−	0.637288i	$-0.780056\pi$
$587$	−780.998	+	112.291i	−1.33049	+	0.191296i	−0.559865	+	0.828584i	$0.689147\pi$
$588$	2750.99	−	619.176i	4.67856	−	1.05302i
$589$	173.921	−	200.716i	0.295282	−	0.340774i
$590$	−155.498	−	529.577i	−0.263556	−	0.897588i
$591$	−282.564	+	383.169i	−0.478111	+	0.648340i
$592$	2.57788	+	17.9296i	0.00435453	+	0.0302864i
$593$	77.4948	+	120.584i	0.130683	+	0.203346i	0.900428	−	0.435005i	$-0.143253\pi$
$593$	77.4948	+	120.584i	0.130683	+	0.203346i	−0.769746	+	0.638351i	$0.779617\pi$
$594$	−13.3858	−	12.8208i	−0.0225349	−	0.0215838i
$595$	−440.022	−	129.202i	−0.739532	−	0.217146i
$596$	−1326.55	+	605.817i	−2.22576	+	1.01647i
$597$	−351.896	+	195.445i	−0.589441	+	0.327379i
$598$	170.923	+	1188.80i	0.285824	+	1.98795i
$599$	−27.4069	−	23.7482i	−0.0457545	−	0.0396465i	0.631683	−	0.775226i	$-0.282364\pi$
$599$	−27.4069	−	23.7482i	−0.0457545	−	0.0396465i	−0.677438	+	0.735580i	$0.736910\pi$
$600$	−744.272	+	58.6092i	−1.24045	+	0.0976820i
$601$	316.637	+	693.339i	0.526851	+	1.15364i	0.966780	+	0.255609i	$0.0822761\pi$
$601$	316.637	+	693.339i	0.526851	+	1.15364i	−0.439930	+	0.898032i	$0.644997\pi$
$602$			2298.27i			3.81773i
$603$	−554.267	+	237.482i	−0.919182	+	0.393834i
$604$	−635.656			−1.05241
$605$	209.143	−	95.5122i	0.345690	−	0.157871i
$606$	−21.7974	−	276.803i	−0.0359693	−	0.456770i
$607$	−161.783	+	186.707i	−0.266529	+	0.307591i	−0.873200	−	0.487362i	$-0.837959\pi$
$607$	−161.783	+	186.707i	−0.266529	+	0.307591i	0.606671	+	0.794953i	$0.292505\pi$
$608$	284.768	−	40.9435i	0.468369	−	0.0673413i
$609$	425.181	+	765.533i	0.698163	+	1.25703i
$610$	−77.0477	−	168.711i	−0.126308	−	0.276575i
$611$	−289.010	+	984.279i	−0.473012	+	1.61093i
$612$	−190.972	−	1205.05i	−0.312047	−	1.96904i
$613$	−248.830	+	159.914i	−0.405922	+	0.260870i	−0.727632	−	0.685968i	$-0.759379\pi$
$613$	−248.830	+	159.914i	−0.405922	+	0.260870i	0.321709	+	0.946838i	$0.395743\pi$
$614$	1081.61	−	155.511i	1.76157	−	0.253276i
$615$	−333.546	−	245.970i	−0.542351	−	0.399951i
$616$	30.0048	−	8.81022i	0.0487092	−	0.0143023i
$617$	−679.272	−	588.592i	−1.10093	−	0.953958i	−0.101761	−	0.994809i	$-0.532448\pi$
$617$	−679.272	−	588.592i	−1.10093	−	0.953958i	−0.999165	+	0.0408506i	$0.986993\pi$
$618$	−154.785	−	687.710i	−0.250462	−	1.11280i
$619$	−138.227	−	961.389i	−0.223307	−	1.55313i	−0.725405	−	0.688322i	$-0.758348\pi$
$619$	−138.227	−	961.389i	−0.223307	−	1.55313i	0.502098	−	0.864811i	$-0.332562\pi$
$620$	138.991	−	120.436i	0.224179	−	0.194252i
$621$	485.299	+	169.184i	0.781480	+	0.272439i
$622$	−491.703	+	1076.68i	−0.790519	+	1.73100i
$623$	596.638	−	928.387i	0.957686	−	1.49019i
$624$	−469.477	+	260.750i	−0.752367	+	0.417869i
$625$	308.801	−	198.455i	0.494082	−	0.317527i
$626$	−128.159	+	199.419i	−0.204727	+	0.318561i
$627$	12.1698	+	2.55595i	0.0194096	+	0.00407647i
$628$	1733.89	−	509.117i	2.76098	−	0.810695i
$629$	25.9931	−	22.5232i	0.0413245	−	0.0358079i
$630$	701.441	+	308.234i	1.11340	+	0.489260i
$631$	−586.206	−	172.125i	−0.929010	−	0.272782i	−0.217988	−	0.975951i	$-0.569949\pi$
$631$	−586.206	−	172.125i	−0.929010	−	0.272782i	−0.711022	+	0.703169i	$0.751768\pi$
$632$			644.909i			1.02043i
$633$	58.4393	+	76.9076i	0.0923211	+	0.121497i
$634$	−360.200	−	105.764i	−0.568138	−	0.166820i
$635$	26.9421	+	41.9227i	0.0424285	+	0.0660200i
$636$	119.985	+	533.092i	0.188655	+	0.838194i
$637$	−978.984	+	2143.68i	−1.53687	+	3.36527i
$638$	8.18155	+	12.7307i	0.0128238	+	0.0199541i
$639$	171.538	+	106.789i	0.268448	+	0.167120i
$640$	446.004			0.696881
$641$		−	708.653i		−	1.10554i	−0.833333	−	0.552771i	$-0.813570\pi$
$641$		−	708.653i		−	1.10554i	0.833333	−	0.552771i	$-0.186430\pi$
$642$	−6.20269	−	16.2720i	−0.00966151	−	0.0253458i
$643$	65.3241	−	454.339i	0.101593	−	0.706593i	−0.873827	−	0.486237i	$-0.838369\pi$
$643$	65.3241	−	454.339i	0.101593	−	0.706593i	0.975420	−	0.220356i	$-0.0707218\pi$
$644$	−1417.25	+	1228.05i	−2.20070	+	1.90692i
$645$	−173.677	+	235.514i	−0.269267	+	0.365138i
$646$	824.234	+	951.217i	1.27590	+	1.47247i
$647$	223.521	−	347.805i	0.345472	−	0.537565i	−0.624423	−	0.781086i	$-0.714666\pi$
$647$	223.521	−	347.805i	0.345472	−	0.537565i	0.969896	+	0.243521i	$0.0783024\pi$
$648$	27.0842	+	942.129i	0.0417967	+	1.45390i
$649$	2.47968	−	17.2465i	0.00382077	−	0.0265740i
$650$	729.550	−	1135.20i	1.12239	−	1.74647i
$651$	503.968	−	113.430i	0.774145	−	0.174240i
$652$	−1366.30	+	1576.80i	−2.09555	+	2.41840i
$653$	−19.7024	+	17.0722i	−0.0301721	+	0.0261443i	−0.669816	−	0.742527i	$-0.733627\pi$
$653$	−19.7024	+	17.0722i	−0.0301721	+	0.0261443i	0.639644	+	0.768671i	$0.279082\pi$
$654$	−1213.97	−	1196.65i	−1.85622	−	1.82974i
$655$	23.3408	−	51.1093i	0.0356349	−	0.0780295i
$656$	527.067	+	456.706i	0.803455	+	0.696198i
$657$	2.95710	+	205.769i	0.00450091	+	0.313194i
$658$	−2363.12	+	693.873i	−3.59136	+	1.05452i
$659$	535.228	−	76.9542i	0.812183	−	0.116774i	0.276305	−	0.961070i	$-0.410890\pi$
$659$	535.228	−	76.9542i	0.812183	−	0.116774i	0.535878	+	0.844296i	$0.319981\pi$
$660$	8.08963	+	2.95124i	0.0122570	+	0.00447158i
$661$	53.0853	+	116.241i	0.0803105	+	0.175856i	0.945528	−	0.325542i	$-0.105547\pi$
$661$	53.0853	+	116.241i	0.0803105	+	0.175856i	−0.865217	+	0.501397i	$0.832819\pi$
$662$	548.184	−	1866.94i	0.828073	−	2.82016i
$663$	898.442	+	482.239i	1.35512	+	0.727359i
$664$	−29.2444	+	203.399i	−0.0440427	+	0.306324i
$665$	−508.801	+	73.1545i	−0.765114	+	0.110007i
$666$	−47.8884	+	31.7575i	−0.0719044	+	0.0476839i
$667$	−352.999	−	226.859i	−0.529235	−	0.340118i
$668$	−1218.51	+	556.475i	−1.82412	+	0.833047i
$669$	−394.212	−	518.794i	−0.589256	−	0.775477i
$670$	294.240	−	314.601i	0.439164	−	0.469553i
$671$		−	5.85511i		−	0.00872595i
$672$	493.049	+	264.644i	0.733704	+	0.393816i
$673$	−187.070	−	120.222i	−0.277964	−	0.178637i	0.394230	−	0.919012i	$-0.371011\pi$
$673$	−187.070	−	120.222i	−0.277964	−	0.178637i	−0.672194	+	0.740375i	$0.734648\pi$
$674$	1063.90	+	921.876i	1.57849	+	1.36777i
$675$	−287.600	−	500.730i	−0.426074	−	0.741823i
$676$	189.520	−	1318.14i	0.280355	−	1.94991i
$677$	−72.6026	+	33.1565i	−0.107242	+	0.0489756i	−0.468313	−	0.883562i	$-0.655138\pi$
$677$	−72.6026	+	33.1565i	−0.107242	+	0.0489756i	0.361072	+	0.932538i	$0.382411\pi$
$678$	−264.355	−	693.505i	−0.389905	−	1.02287i
$679$	303.137	+	663.778i	0.446446	+	0.977581i
$680$	217.879	+	339.026i	0.320410	+	0.498568i
$681$	−79.1862	−	78.0564i	−0.116279	−	0.114620i
$682$	8.56556	−	2.51508i	0.0125595	−	0.00368779i
$683$	−95.0711	−	323.782i	−0.139196	−	0.474059i	0.860157	−	0.510030i	$-0.170366\pi$
$683$	−95.0711	−	323.782i	−0.139196	−	0.474059i	−0.999353	+	0.0359710i	$0.988548\pi$
$684$	−755.821	−	1139.73i	−1.10500	−	1.66627i
$685$	−173.683	+	380.313i	−0.253552	+	0.555201i
$686$	−3428.17	+	492.896i	−4.99733	+	0.718508i
$687$	28.1673	−	134.115i	0.0410004	−	0.195218i
$688$	322.476	−	372.157i	0.468715	−	0.540926i
$689$	−415.405	−	189.709i	−0.602910	−	0.275340i
$690$	−366.005	+	28.8218i	−0.530442	+	0.0417708i
$691$	−8.20754	+	57.0847i	−0.0118778	+	0.0826117i	−0.994898	−	0.100885i	$-0.967833\pi$
$691$	−8.20754	+	57.0847i	−0.0118778	+	0.0826117i	0.983020	+	0.183497i	$0.0587417\pi$
$692$	−994.231	−	1547.05i	−1.43675	−	2.23563i
$693$	16.1003	+	18.0500i	0.0232328	+	0.0260462i
$694$	414.633	+	478.512i	0.597454	+	0.689498i
$695$	29.6280	+	100.904i	0.0426302	+	0.145185i
$696$	158.167	−	753.092i	0.227251	−	1.08203i
$697$	188.454	−	1310.73i	0.270379	−	1.88053i
$698$	476.935	−	1624.29i	0.683288	−	2.32706i
$699$	163.746	−	124.424i	0.234257	−	0.178003i
$700$	2107.00			3.01000
$701$	−312.784	+	1065.24i	−0.446197	+	1.51961i	0.362842	+	0.931851i	$0.381806\pi$
$701$	−312.784	+	1065.24i	−0.446197	+	1.51961i	−0.809039	+	0.587755i	$0.800012\pi$
$702$	−1385.47	−	991.285i	−1.97361	−	1.41209i
$703$	16.0148	−	35.0675i	0.0227806	−	0.0498826i
$704$	15.8831	+	7.25356i	0.0225612	+	0.0103033i
$705$	−294.594	−	107.473i	−0.417863	−	0.152444i
$706$	−410.042	−	120.399i	−0.580796	−	0.170537i
$707$			362.330i			0.512490i
$708$	−1525.70	+	1159.32i	−2.15494	+	1.63746i
$709$	413.463	+	121.404i	0.583163	+	0.171232i	0.559990	−	0.828499i	$-0.310805\pi$
$709$	413.463	+	121.404i	0.583163	+	0.171232i	0.0231732	+	0.999731i	$0.492623\pi$
$710$	−142.875	−	20.5424i	−0.201233	−	0.0289329i
$711$	−450.710	+	213.712i	−0.633910	+	0.300580i
$712$	−930.505	+	273.221i	−1.30689	+	0.383737i
$713$	−187.073	+	162.100i	−0.262375	+	0.227349i
$714$	192.187	+	2440.56i	0.269169	+	3.41815i
$715$	−6.05427	+	3.89084i	−0.00846750	+	0.00544173i
$716$	2245.59	+	322.867i	3.13630	+	0.450932i
$717$	−1417.50	+	111.624i	−1.97699	+	0.155682i
$718$	664.210	−	1454.42i	0.925083	−	2.02565i
$719$	−57.9522	−	50.2159i	−0.0806011	−	0.0698413i	0.613628	−	0.789595i	$-0.289709\pi$
$719$	−57.9522	−	50.2159i	−0.0806011	−	0.0698413i	−0.694230	+	0.719754i	$0.744255\pi$
$720$	−70.3347	−	148.333i	−0.0976871	−	0.206018i
$721$	130.911	+	910.509i	0.181569	+	1.26284i
$722$	172.610	+	78.8283i	0.239072	+	0.109180i
$723$	50.2843	+	3.23344i	0.0695495	+	0.00447226i
$724$	−1235.61	+	362.806i	−1.70664	+	0.501114i
$725$	132.825	+	452.361i	0.183207	+	0.623946i
$726$	−874.096	−	861.625i	−1.20399	−	1.18681i
$727$	469.277	−	301.586i	0.645497	−	0.414836i	−0.176521	−	0.984297i	$-0.556484\pi$
$727$	469.277	−	301.586i	0.645497	−	0.414836i	0.822018	+	0.569461i	$0.192848\pi$
$728$	2614.46	−	1193.98i	3.59129	−	1.64009i
$729$	−649.454	+	331.134i	−0.890884	+	0.454231i
$730$	−61.0689	−	133.722i	−0.0836561	−	0.183181i
$731$	−925.493	−	133.066i	−1.26606	−	0.182033i
$732$	−452.033	+	458.576i	−0.617532	+	0.626470i
$733$	−507.194	+	585.333i	−0.691942	+	0.798544i	−0.987640	−	0.156737i	$-0.949902\pi$
$733$	−507.194	+	585.333i	−0.691942	+	0.798544i	0.295698	+	0.955282i	$0.404448\pi$
$734$	518.056	−	806.111i	0.705798	−	1.09824i
$735$	−634.743	−	340.699i	−0.863596	−	0.463535i
$736$	−268.142			−0.364324
$737$	12.5751	−	5.17536i	0.0170626	−	0.00702220i
$738$	−592.723	+	2131.47i	−0.803147	+	2.88817i
$739$	−175.770	−	384.883i	−0.237849	−	0.520816i	0.752636	−	0.658437i	$-0.228782\pi$
$739$	−175.770	−	384.883i	−0.237849	−	0.520816i	−0.990485	+	0.137620i	$0.956055\pi$
$740$	14.4328	−	22.4580i	0.0195038	−	0.0303486i
$741$	1140.58	+	73.3433i	1.53925	+	0.0989788i
$742$	−156.035	−	1085.25i	−0.210290	−	1.46260i
$743$	−622.716	−	89.5330i	−0.838110	−	0.120502i	−0.290124	−	0.956989i	$-0.593696\pi$
$743$	−622.716	−	89.5330i	−0.838110	−	0.120502i	−0.547987	+	0.836487i	$0.684606\pi$
$744$	−399.976	−	214.687i	−0.537602	−	0.288558i
$745$	357.482	+	104.966i	0.479841	+	0.140894i
$746$	−501.113	+	228.850i	−0.671733	+	0.306770i
$747$	−151.841	+	46.9649i	−0.203268	+	0.0628714i
$748$	3.91574	+	27.2346i	0.00523494	+	0.0364098i
$749$	6.40222	+	21.8040i	0.00854769	+	0.0291108i
$750$	720.071	+	531.009i	0.960095	+	0.708012i
$751$	−146.052	+	168.553i	−0.194477	+	0.224438i	−0.844610	−	0.535382i	$-0.820168\pi$
$751$	−146.052	+	168.553i	−0.194477	+	0.224438i	0.650133	+	0.759820i	$0.274713\pi$
$752$	480.016	+	219.216i	0.638320	+	0.291511i
$753$	642.115	+	632.953i	0.852742	+	0.840575i
$754$	910.841	+	1051.17i	1.20801	+	1.39412i
$755$	122.731	+	106.347i	0.162557	+	0.140856i
$756$	132.532	−	2656.69i	0.175307	−	3.51414i
$757$	−156.246	−	100.413i	−0.206401	−	0.132646i	0.433357	−	0.901222i	$-0.357329\pi$
$757$	−156.246	−	100.413i	−0.206401	−	0.132646i	−0.639758	+	0.768576i	$0.720965\pi$
$758$	−509.308	−	73.2274i	−0.671910	−	0.0966060i
$759$	−10.8882	−	3.97220i	−0.0143454	−	0.00523347i
$760$	380.008	+	244.216i	0.500010	+	0.321337i
$761$	29.1056	−	25.2202i	0.0382466	−	0.0331408i	−0.635528	−	0.772078i	$-0.719217\pi$
$761$	29.1056	−	25.2202i	0.0382466	−	0.0331408i	0.673774	+	0.738937i	$0.264672\pi$
$762$	157.888	−	214.104i	0.207203	−	0.280976i
$763$	1456.68	+	1681.10i	1.90915	+	2.20328i
$764$	969.263	+	139.359i	1.26867	+	0.182407i
$765$	−164.735	+	264.618i	−0.215340	+	0.345906i
$766$	−907.425			−1.18463
$767$		−	1601.44i		−	2.08793i
$768$	−480.322	−	1260.07i	−0.625420	−	1.64071i
$769$	779.780	−	501.134i	1.01402	−	0.651670i	0.0755877	−	0.997139i	$-0.475917\pi$
$769$	779.780	−	501.134i	1.01402	−	0.651670i	0.938430	+	0.345470i	$0.112280\pi$
$770$	−15.7169	−	7.17767i	−0.0204116	−	0.00932165i
$771$	142.313	+	632.295i	0.184582	+	0.820097i
$772$	−1792.61	+	1152.04i	−2.32204	+	1.49228i
$773$	−7.53970	+	25.6778i	−0.00975381	+	0.0332184i	−0.964226	−	0.265081i	$-0.914601\pi$
$773$	−7.53970	+	25.6778i	−0.00975381	+	0.0332184i	0.954472	+	0.298300i	$0.0964194\pi$
$774$	1505.01	+	418.516i	1.94446	+	0.540719i
$775$	278.119			0.358863
$776$	180.663	−	615.281i	0.232813	−	0.792888i
$777$	65.5521	−	36.4080i	0.0843656	−	0.0468571i
$778$	−878.616	−	1013.98i	−1.12933	−	1.30331i
$779$	−418.169	−	1424.15i	−0.536802	−	1.82818i
$780$	774.559	+	162.675i	0.993025	+	0.208558i
$781$	−3.83341	−	2.46358i	−0.00490833	−	0.00315439i
$782$	−634.221	−	986.868i	−0.811025	−	1.26198i
$783$	578.731	−	139.024i	0.739119	−	0.177552i
$784$	1019.85	+	655.415i	1.30082	+	0.835988i
$785$	−419.951	−	191.785i	−0.534970	−	0.244313i
$786$	−299.321	−	19.2473i	−0.380816	−	0.0244877i
$787$	415.781	+	479.837i	0.528311	+	0.609704i	0.955692	−	0.294368i	$-0.0951091\pi$
$787$	415.781	+	479.837i	0.528311	+	0.609704i	−0.427381	+	0.904072i	$0.640564\pi$
$788$	−1168.72	+	168.037i	−1.48315	+	0.213244i
$789$	3.04902	+	13.5468i	0.00386441	+	0.0171695i
$790$	233.345	−	269.295i	0.295374	−	0.340879i
$791$	272.859	+	929.273i	0.344955	+	1.17481i
$792$	−0.305424	−	21.2528i	−0.000385637	−	0.0268344i
$793$	−76.5864	−	532.670i	−0.0965781	−	0.671715i
$794$	264.946	+	412.264i	0.333685	+	0.519224i
$795$	66.0211	−	123.002i	0.0830454	−	0.154719i
$796$	−957.865	−	281.255i	−1.20335	−	0.353335i
$797$	−864.903	+	394.988i	−1.08520	+	0.495593i	−0.876015	−	0.482283i	$-0.839808\pi$
$797$	−864.903	+	394.988i	−1.08520	+	0.495593i	−0.209183	+	0.977877i	$0.567080\pi$
$798$	1332.35	+	2398.87i	1.66961	+	3.00611i
$799$	−142.596	−	991.779i	−0.178468	−	1.24128i
$800$	227.688	+	197.292i	0.284610	+	0.246616i
$801$	−499.301	−	559.765i	−0.623347	−	0.698832i
$802$	−51.2510	−	112.224i	−0.0639040	−	0.139930i
$803$		−	4.64083i		−	0.00577937i
$804$	−1384.44	−	565.501i	−1.72195	−	0.703359i
$805$	479.095			0.595149
$806$	746.356	−	340.850i	0.926001	−	0.422890i
$807$	1362.85	−	107.320i	1.68879	−	0.132987i
$808$	208.511	−	240.634i	0.258058	−	0.297814i
$809$	−313.108	+	45.0182i	−0.387031	+	0.0556467i	−0.333084	−	0.942897i	$-0.608089\pi$
$809$	−313.108	+	45.0182i	−0.387031	+	0.0556467i	−0.0539472	+	0.998544i	$0.517180\pi$
$810$	329.578	−	403.205i	0.406886	−	0.497784i
$811$	−197.390	−	432.224i	−0.243391	−	0.532952i	0.748029	−	0.663666i	$-0.231000\pi$
$811$	−197.390	−	432.224i	−0.243391	−	0.532952i	−0.991420	+	0.130714i	$0.958273\pi$
$812$	−611.855	+	2083.79i	−0.753517	+	2.56624i
$813$	−46.8456	+	87.2762i	−0.0576206	+	0.107351i
$814$	1.09013	−	0.700581i	0.00133922	−	0.000860665i
$815$	527.603	−	75.8578i	0.647365	−	0.0930771i
$816$	311.320	−	422.164i	0.381520	−	0.517358i
$817$	−1005.58	+	295.265i	−1.23082	+	0.361402i
$818$	957.025	+	829.267i	1.16996	+	1.01377i
$819$	1700.83	+	1431.51i	2.07672	+	1.74788i
$820$	−146.274	−	1017.36i	−0.178384	−	1.24068i
$821$	−287.558	+	249.170i	−0.350253	+	0.303496i	−0.812163	−	0.583431i	$-0.801710\pi$
$821$	−287.558	+	249.170i	−0.350253	+	0.303496i	0.461910	+	0.886927i	$0.347164\pi$
$822$	2227.30	+	143.223i	2.70961	+	0.174237i
$823$	−226.710	+	496.425i	−0.275467	+	0.603189i	−0.995913	−	0.0903224i	$-0.971210\pi$
$823$	−226.710	+	496.425i	−0.275467	+	0.603189i	0.720445	+	0.693512i	$0.243938\pi$
$824$	437.030	−	680.031i	0.530376	−	0.825281i
$825$	6.32283	+	11.3842i	0.00766403	+	0.0137990i
$826$	3234.48	−	2078.68i	3.91584	−	2.51656i
$827$	186.950	−	290.900i	0.226059	−	0.351754i	−0.709634	−	0.704571i	$-0.751140\pi$
$827$	186.950	−	290.900i	0.226059	−	0.351754i	0.935692	+	0.352817i	$0.114776\pi$
$828$	546.102	+	1151.71i	0.659544	+	1.39095i
$829$	−1407.76	+	413.356i	−1.69814	+	0.498620i	−0.980288	−	0.197574i	$-0.936694\pi$
$829$	−1407.76	+	413.356i	−1.69814	+	0.498620i	−0.717854	+	0.696193i	$0.754876\pi$
$830$	85.8068	−	74.3520i	0.103382	−	0.0895807i
$831$	−290.596	+	161.398i	−0.349694	+	0.194222i
$832$	1539.85	+	452.139i	1.85078	+	0.543437i
$833$		−	2301.84i		−	2.76331i
$834$	446.987	−	339.649i	0.535955	−	0.407253i
$835$	328.366	+	96.4170i	0.393253	+	0.115469i
$836$	16.6737	+	25.9447i	0.0199446	+	0.0310344i
$837$	17.4939	−	350.676i	0.0209007	−	0.418968i
$838$	450.290	−	985.997i	0.537339	−	1.17661i
$839$	−162.118	−	252.261i	−0.193228	−	0.300668i	0.731098	−	0.682272i	$-0.239008\pi$
$839$	−162.118	−	252.261i	−0.193228	−	0.300668i	−0.924326	+	0.381604i	$0.875372\pi$
$840$	312.949	+	820.985i	0.372558	+	0.977363i
$841$	355.051			0.422178
$842$			408.213i			0.484814i
$843$	−879.090	+	335.098i	−1.04281	+	0.397507i
$844$	−34.0922	+	237.116i	−0.0403936	+	0.280943i
$845$	−257.120	+	222.796i	−0.304284	+	0.263664i
$846$	24.0545	+	1673.83i	0.0284332	+	1.97852i
$847$	1048.86	+	1210.45i	1.23832	+	1.42910i
$848$	−127.007	+	197.627i	−0.149773	+	0.233051i
$849$	−625.067	−	228.036i	−0.736239	−	0.268593i
$850$	−187.576	+	1304.62i	−0.220678	+	1.53485i
$851$	−19.4258	+	30.2271i	−0.0228270	+	0.0355195i
$852$	110.039	+	488.901i	0.129153	+	0.573827i
$853$	30.4034	−	35.0874i	0.0356429	−	0.0411341i	−0.737648	−	0.675185i	$-0.764064\pi$
$853$	30.4034	−	35.0874i	0.0356429	−	0.0411341i	0.773291	+	0.634051i	$0.218609\pi$
$854$	976.442	−	846.091i	1.14337	−	0.990739i
$855$	−44.7480	+	346.507i	−0.0523369	+	0.405271i
$856$	8.29565	−	18.1649i	0.00969118	−	0.0212207i
$857$	1142.25	+	989.761i	1.33284	+	1.15491i	0.975267	+	0.221029i	$0.0709416\pi$
$857$	1142.25	+	989.761i	1.33284	+	1.15491i	0.357574	+	0.933885i	$0.383604\pi$
$858$	30.9198	+	22.8014i	0.0360370	+	0.0265751i
$859$	321.337	−	94.3530i	0.374082	−	0.109840i	−0.0892866	−	0.996006i	$-0.528459\pi$
$859$	321.337	−	94.3530i	0.374082	−	0.109840i	0.463369	+	0.886166i	$0.346641\pi$
$860$	−718.350	+	103.283i	−0.835291	+	0.120097i
$861$	989.437	−	2712.14i	1.14917	−	3.14999i
$862$	−657.586	−	1439.91i	−0.762861	−	1.67043i
$863$	224.291	−	763.863i	0.259896	−	0.885126i	−0.721383	−	0.692536i	$-0.756493\pi$
$863$	224.291	−	763.863i	0.259896	−	0.885126i	0.981279	−	0.192589i	$-0.0616885\pi$
$864$	263.085	−	274.678i	0.304497	−	0.317915i
$865$	−66.8624	+	465.038i	−0.0772975	+	0.537616i
$866$	368.646	−	53.0033i	0.425689	−	0.0612048i
$867$	−128.705	−	8.27615i	−0.148449	−	0.00954573i
$868$	1077.77	+	692.640i	1.24167	+	0.797973i
$869$	10.2323	−	4.67294i	0.0117748	−	0.00537737i
$870$	−338.535	+	257.240i	−0.389120	+	0.295678i
$871$	1076.33	−	635.316i	1.23574	−	0.729409i
$872$		−	1954.75i		−	2.24168i
$873$	489.872	−	77.6334i	0.561137	−	0.0889271i
$874$	−1106.16	−	710.885i	−1.26563	−	0.813370i
$875$	−882.354	−	764.564i	−1.00840	−	0.873787i
$876$	−358.287	+	363.473i	−0.409004	+	0.414924i
$877$	−55.7448	+	387.714i	−0.0635631	+	0.442091i	0.933042	+	0.359766i	$0.117144\pi$
$877$	−55.7448	+	387.714i	−0.0635631	+	0.442091i	−0.996606	+	0.0823248i	$0.973766\pi$
$878$	−1993.04	+	910.191i	−2.26998	+	1.03666i
$879$	−769.441	+	293.301i	−0.875360	+	0.333676i
$880$	1.53791	+	3.36755i	0.00174762	+	0.00382676i
$881$	639.751	+	995.471i	0.726164	+	1.12993i	0.986396	+	0.164387i	$0.0525647\pi$
$881$	639.751	+	995.471i	0.726164	+	1.12993i	−0.260232	+	0.965546i	$0.583799\pi$
$882$	−492.542	+	3814.00i	−0.558438	+	4.32426i
$883$	1061.13	−	311.574i	1.20173	−	0.352859i	0.381214	−	0.924487i	$-0.375506\pi$
$883$	1061.13	−	311.574i	1.20173	−	0.352859i	0.820513	+	0.571628i	$0.193688\pi$
$884$	712.471	+	2426.45i	0.805962	+	2.74486i
$885$	488.534	+	31.4143i	0.552016	+	0.0354964i
$886$	−506.982	+	1110.14i	−0.572215	+	1.25298i
$887$	223.231	−	32.0957i	0.251669	−	0.0361846i	−0.0153255	−	0.999883i	$-0.504878\pi$
$887$	223.231	−	32.0957i	0.251669	−	0.0361846i	0.266995	+	0.963698i	$0.413969\pi$
$888$	−64.4868	−	13.5437i	−0.0726202	−	0.0152519i
$889$	−227.333	+	262.356i	−0.255718	+	0.295114i
$890$	487.410	+	222.593i	0.547651	+	0.250104i
$891$	14.7518	−	7.25629i	0.0165565	−	0.00814399i
$892$	229.975	−	1599.51i	0.257819	−	1.79317i
$893$	−607.192	−	944.808i	−0.679946	−	1.05802i
$894$	−156.136	−	1982.75i	−0.174649	−	2.21785i
$895$	−379.556	−	438.031i	−0.424085	−	0.489420i
$896$	875.319	+	2981.06i	0.976919	+	3.32708i
$897$	−1042.51	−	218.952i	−1.16222	−	0.244093i
$898$	−379.532	+	2639.70i	−0.422641	+	2.93954i
$899$	−80.7634	+	275.055i	−0.0898369	+	0.305956i
$900$	383.686	−	1379.76i	0.426318	−	1.53306i
$901$	446.054			0.495066
$902$	14.0560	−	47.8703i	0.0155831	−	0.0530713i
$903$	−1915.02	−	698.633i	−2.12073	−	0.773680i
$904$	353.556	−	774.180i	0.391102	−	0.856394i
$905$	299.265	+	136.670i	0.330680	+	0.151017i
$906$	297.110	−	814.407i	0.327936	−	0.898904i
$907$	−129.438	−	38.0063i	−0.142709	−	0.0419033i	0.209598	−	0.977788i	$-0.432785\pi$
$907$	−129.438	−	38.0063i	−0.142709	−	0.0419033i	−0.352307	+	0.935884i	$0.614603\pi$
$908$		−	275.760i		−	0.303701i
$909$	237.270	+	65.9805i	0.261023	+	0.0725858i
$910$	−1523.74	−	447.409i	−1.67443	−	0.491658i
$911$	1447.01	+	208.048i	1.58837	+	0.228374i	0.879127	−	0.476587i	$-0.158126\pi$
$911$	1447.01	+	208.048i	1.58837	+	0.228374i	0.709247	+	0.704961i	$0.249035\pi$
$912$	120.846	−	575.393i	0.132506	−	0.630913i
$913$	3.43909	−	1.00981i	0.00376680	−	0.00110603i
$914$	1052.07	−	911.628i	1.15107	−	0.997405i
$915$	163.998	−	12.9144i	0.179233	−	0.0141141i
$916$	285.919	−	183.749i	0.312138	−	0.200599i
$917$	387.420	+	55.7026i	0.422487	+	0.0607444i
$918$	1633.18	+	318.574i	1.77907	+	0.347031i
$919$	448.331	−	981.709i	0.487847	−	1.06824i	−0.492384	−	0.870378i	$-0.663874\pi$
$919$	448.331	−	981.709i	0.487847	−	1.06824i	0.980231	−	0.197858i	$-0.0633984\pi$
$920$	−318.181	−	275.705i	−0.345849	−	0.299680i
$921$	−199.210	+	948.512i	−0.216297	+	1.02987i
$922$	81.8585	+	569.338i	0.0887836	+	0.617503i
$923$	−380.970	−	173.983i	−0.412751	−	0.188497i
$924$	−3.84937	+	59.8627i	−0.00416598	+	0.0647865i
$925$	38.7354	−	11.3737i	0.0418761	−	0.0122959i
$926$	−546.848	−	1862.39i	−0.590549	−	2.01122i
$927$	620.081	+	80.0775i	0.668911	+	0.0863835i
$928$	−261.237	+	167.887i	−0.281506	+	0.180913i
$929$	316.946	−	144.744i	0.341169	−	0.155807i	−0.237460	−	0.971397i	$-0.576315\pi$
$929$	316.946	−	144.744i	0.341169	−	0.155807i	0.578630	+	0.815590i	$0.303588\pi$
$930$	89.3384	+	234.369i	0.0960628	+	0.252009i
$931$	−1071.81	−	2346.93i	−1.15124	−	2.52087i
$932$	504.849	+	72.5863i	0.541683	+	0.0778823i
$933$	−747.666	−	736.998i	−0.801357	−	0.789923i
$934$	−286.075	+	330.148i	−0.306290	+	0.353477i
$935$	3.80036	−	5.91348i	0.00406456	−	0.00632458i
$936$	−305.779	−	1929.49i	−0.326687	−	2.06142i
$937$	223.021			0.238016			0.119008	−	0.992893i	$-0.462029\pi$
$937$	223.021			0.238016			0.119008	+	0.992893i	$0.462029\pi$
$938$	2680.24	+	1349.25i	2.85740	+	1.43844i
$939$	−127.207	−	167.407i	−0.135470	−	0.178283i
$940$	−323.075	−	707.435i	−0.343697	−	0.752591i
$941$	887.041	−	1380.26i	0.942658	−	1.46680i	0.0592257	−	0.998245i	$-0.481137\pi$
$941$	887.041	−	1380.26i	0.942658	−	1.46680i	0.883432	−	0.468559i	$-0.155227\pi$
$942$	−158.150	+	2459.44i	−0.167888	+	2.61087i
$943$	196.877	+	1369.31i	0.208777	+	1.45208i
$944$	−815.422	−	117.240i	−0.863794	−	0.124195i
$945$	−470.059	+	490.773i	−0.497417	+	0.519336i
$946$	−33.8008	−	9.92482i	−0.0357303	−	0.0104914i
$947$	−846.790	+	386.716i	−0.894182	+	0.408359i	−0.808865	−	0.587995i	$-0.799918\pi$
$947$	−846.790	+	386.716i	−0.894182	+	0.408359i	−0.0853172	+	0.996354i	$0.527190\pi$
$948$	−1162.17	−	423.979i	−1.22591	−	0.447235i
$949$	−60.7033	−	422.201i	−0.0639656	−	0.444890i
$950$	416.221	+	1417.52i	0.438127	+	1.49212i
$951$	197.621	−	267.983i	0.207804	−	0.281791i
$952$	−1838.43	+	2121.66i	−1.93112	+	2.22863i
$953$	−1161.71	−	530.537i	−1.21901	−	0.556702i	−0.301136	−	0.953581i	$-0.597366\pi$
$953$	−1161.71	−	530.537i	−1.21901	−	0.556702i	−0.917871	+	0.396879i	$0.870093\pi$
$954$	−739.083	−	95.4456i	−0.774720	−	0.100048i
$955$	−163.827	−	189.067i	−0.171547	−	0.197976i
$956$	−2665.07	−	2309.30i	−2.78773	−	2.41558i
$957$	−13.0948	+	2.94730i	−0.0136832	+	0.00307973i
$958$	370.571	+	238.152i	0.386817	+	0.248592i
$959$	−2882.86	−	414.492i	−3.00611	−	0.432213i
$960$	−168.135	+	460.874i	−0.175141	+	0.480077i
$961$	−666.182	−	428.129i	−0.693217	−	0.445504i
$962$	90.0106	−	77.9947i	0.0935662	−	0.0810755i
$963$	15.4440	−	0.221946i	0.0160374	−	0.000230473i
$964$	81.8356	+	94.4433i	0.0848917	+	0.0979702i
$965$	538.851	+	77.4751i	0.558395	+	0.0802851i
$966$	−910.959	−	2389.79i	−0.943022	−	2.47391i
$967$	−481.480			−0.497911			−0.248955	−	0.968515i	$-0.580087\pi$
$967$	−481.480			−0.497911			−0.248955	+	0.968515i	$0.580087\pi$
$968$		−	1407.48i		−	1.45401i
$969$	−1043.15	+	397.634i	−1.07652	+	0.410355i
$970$	−298.064	+	191.554i	−0.307283	+	0.197479i
$971$	−236.011	−	107.783i	−0.243060	−	0.111002i	0.290161	−	0.956978i	$-0.406291\pi$
$971$	−236.011	−	107.783i	−0.243060	−	0.111002i	−0.533221	+	0.845976i	$0.679018\pi$
$972$	−1715.58	−	570.572i	−1.76500	−	0.587008i
$973$	−616.287	+	396.064i	−0.633389	+	0.407054i
$974$	−808.364	+	2753.03i	−0.829942	+	2.82652i
$975$	724.129	+	952.973i	0.742696	+	0.977408i
$976$	−276.832			−0.283639
$977$	−469.615	+	1599.36i	−0.480670	+	1.63701i	0.260338	+	0.965517i	$0.416166\pi$
$977$	−469.615	+	1599.36i	−0.480670	+	1.63701i	−0.741009	+	0.671496i	$0.765652\pi$
$978$	−1381.58	−	2487.52i	−1.41266	−	2.54348i
$979$	11.0773	+	12.7839i	0.0113150	+	0.0130581i
$980$	−503.356	−	1714.27i	−0.513628	−	1.74926i
$981$	1366.12	−	647.771i	1.39258	−	0.660317i
$982$	−1773.75	−	1139.92i	−1.80627	−	1.16082i
$983$	−147.372	−	229.316i	−0.149921	−	0.233282i	0.758168	−	0.652060i	$-0.226095\pi$
$983$	−147.372	−	229.316i	−0.149921	−	0.233282i	−0.908089	+	0.418778i	$0.862459\pi$
$984$	−2217.87	+	1231.82i	−2.25393	+	1.25185i
$985$	253.766	+	163.085i	0.257630	+	0.165569i
$986$	−1235.78	−	564.362i	−1.25333	−	0.572375i
$987$	140.179	−	2179.97i	0.142026	−	2.20869i
$988$	1856.25	+	2142.23i	1.87880	+	2.16825i
$989$	966.858	−	139.013i	0.977612	−	0.140559i
$990$	−7.56231	+	8.98507i	−0.00763870	+	0.00907582i
$991$	−310.364	+	358.180i	−0.313183	+	0.361432i	−0.890416	−	0.455147i	$-0.849587\pi$
$991$	−310.364	+	358.180i	−0.313183	+	0.361432i	0.577233	+	0.816579i	$0.304132\pi$
$992$	51.6099	+	175.767i	0.0520261	+	0.177185i
$993$	1388.98	+	1024.29i	1.39877	+	1.03151i
$994$	−143.101	−	995.286i	−0.143964	−	1.00129i
$995$	137.887	+	214.557i	0.138580	+	0.215635i
$996$	−347.312	−	186.420i	−0.348707	−	0.187169i
$997$	746.399	+	219.163i	0.748645	+	0.219822i	0.633731	−	0.773553i	$-0.281523\pi$
$997$	746.399	+	219.163i	0.748645	+	0.219822i	0.114914	+	0.993375i	$0.463341\pi$
$998$	856.987	−	391.373i	0.858705	−	0.392157i
$999$	−11.9045	−	49.5563i	−0.0119164	−	0.0496059i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	201.3.k.a.14.4	✓	440
3.2	odd	2	inner	201.3.k.a.14.41	yes	440
67.24	even	11	inner	201.3.k.a.158.41	yes	440
201.158	odd	22	inner	201.3.k.a.158.4	yes	440

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
201.3.k.a.14.4	✓	440	1.1	even	1	trivial
201.3.k.a.14.41	yes	440	3.2	odd	2	inner
201.3.k.a.158.4	yes	440	201.158	odd	22	inner
201.3.k.a.158.41	yes	440	67.24	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 201 = 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	201.k (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-3.07669 + 1.40508i) q^{2} +(-0.235512 - 2.99074i) q^{3} +(4.87231 - 5.62295i) q^{4} +(-1.88146 + 0.270514i) q^{5} +(4.92681 + 8.87066i) q^{6} +(-5.50063 - 12.0447i) q^{7} +(-3.27825 + 11.1647i) q^{8} +(-8.88907 + 1.40871i) q^{9} +O(q^{10})\)	\(q+(-3.07669 + 1.40508i) q^{2} +(-0.235512 - 2.99074i) q^{3} +(4.87231 - 5.62295i) q^{4} +(-1.88146 + 0.270514i) q^{5} +(4.92681 + 8.87066i) q^{6} +(-5.50063 - 12.0447i) q^{7} +(-3.27825 + 11.1647i) q^{8} +(-8.88907 + 1.40871i) q^{9} +(5.40858 - 3.47589i) q^{10} +(0.200896 - 0.0288845i) q^{11} +(-17.9643 - 13.2476i) q^{12} +(17.8988 - 5.25555i) q^{13} +(33.8474 + 29.3290i) q^{14} +(1.25214 + 5.56326i) q^{15} +(-1.36567 - 9.49843i) q^{16} +(-13.7702 + 11.9320i) q^{17} +(25.3695 - 16.8240i) q^{18} +(-8.48406 + 18.5775i) q^{19} +(-7.64600 + 11.8974i) q^{20} +(-34.7271 + 19.2876i) q^{21} +(-0.577509 + 0.371142i) q^{22} +(10.2911 - 16.0132i) q^{23} +(34.1628 + 7.17498i) q^{24} +(-20.5206 + 6.02539i) q^{25} +(-47.6844 + 41.3188i) q^{26} +(6.30657 + 26.2531i) q^{27} +(-94.5276 - 27.7558i) q^{28} -22.0442i q^{29} +(-11.6693 - 15.3571i) q^{30} +(-12.4774 - 3.66369i) q^{31} +(-7.61592 - 11.8506i) q^{32} +(-0.133699 - 0.594025i) q^{33} +(25.6013 - 56.0591i) q^{34} +(13.6075 + 21.1737i) q^{35} +(-35.3892 + 56.8465i) q^{36} -1.88763 q^{37} -69.0778i q^{38} +(-19.9334 - 52.2928i) q^{39} +(3.14771 - 21.8928i) q^{40} +(-54.9251 + 47.5929i) q^{41} +(79.7438 - 108.136i) q^{42} +(33.6049 + 38.7821i) q^{43} +(0.816412 - 1.27036i) q^{44} +(16.3434 - 5.05505i) q^{45} +(-9.16262 + 63.7274i) q^{46} +(-29.7306 + 46.2618i) q^{47} +(-28.0857 + 6.32135i) q^{48} +(-82.7297 + 95.4751i) q^{49} +(54.6693 - 47.3712i) q^{50} +(38.9284 + 38.3730i) q^{51} +(57.6567 - 126.250i) q^{52} +(-18.5013 - 16.0315i) q^{53} +(-56.2910 - 71.9114i) q^{54} +(-0.370165 + 0.108690i) q^{55} +(152.508 - 21.9273i) q^{56} +(57.5586 + 20.9984i) q^{57} +(30.9738 + 67.8232i) q^{58} +(24.1862 - 82.3706i) q^{59} +(37.3828 + 20.0652i) q^{60} +(4.10555 - 28.5547i) q^{61} +(43.5368 - 6.25965i) q^{62} +(65.8630 + 99.3174i) q^{63} +(72.3738 + 46.5118i) q^{64} +(-32.2542 + 14.7300i) q^{65} +(1.24600 + 1.63977i) q^{66} +(64.9563 - 16.4221i) q^{67} +135.565i q^{68} +(-50.3151 - 27.0066i) q^{69} +(-71.6166 - 46.0252i) q^{70} +(-16.9676 - 14.7025i) q^{71} +(13.4128 - 103.862i) q^{72} +(3.25411 - 22.6328i) q^{73} +(5.80765 - 2.65227i) q^{74} +(22.8532 + 59.9527i) q^{75} +(63.1233 + 138.221i) q^{76} +(-1.45296 - 2.26085i) q^{77} +(134.804 + 132.881i) q^{78} +(53.1784 - 15.6146i) q^{79} +(5.13891 + 17.5015i) q^{80} +(77.0311 - 25.0442i) q^{81} +(102.116 - 223.602i) q^{82} +(17.4801 - 2.51326i) q^{83} +(-60.7480 + 289.244i) q^{84} +(22.6804 - 26.1746i) q^{85} +(-157.884 - 72.1030i) q^{86} +(-65.9286 + 5.19168i) q^{87} +(-0.336101 + 2.33763i) q^{88} +(45.0589 + 70.1130i) q^{89} +(-43.1807 + 38.5165i) q^{90} +(-161.756 - 186.676i) q^{91} +(-39.9002 - 135.888i) q^{92} +(-8.01859 + 38.1795i) q^{93} +(26.4706 - 184.107i) q^{94} +(10.9370 - 37.2480i) q^{95} +(-33.6484 + 25.5682i) q^{96} -55.1095 q^{97} +(120.383 - 409.988i) q^{98} +(-1.74509 + 0.539760i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9}+O(q^{10}) \) 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9	\( 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9} - 34 q^{10} - 123 q^{12} + 10 q^{13} + 19 q^{15} - 226 q^{16} - 33 q^{18} - 100 q^{19} + 85 q^{21} - 454 q^{22} - 251 q^{24} + 142 q^{25} - 53 q^{27} + 642 q^{28} - 80 q^{30} - 130 q^{31} + 104 q^{33} + 26 q^{34} + 67 q^{36} - 144 q^{37} + 117 q^{39} - 182 q^{40} + 193 q^{42} - 156 q^{43} + 341 q^{45} - 746 q^{46} - 485 q^{48} - 354 q^{49} - 125 q^{51} + 1130 q^{52} + 272 q^{54} - 590 q^{55} + 15 q^{57} - 274 q^{58} - 217 q^{60} - 1134 q^{61} + 279 q^{63} + 58 q^{64} + 1288 q^{66} - 87 q^{69} + 1038 q^{70} - 977 q^{72} + 1208 q^{73} - 751 q^{75} + 1126 q^{76} - 11 q^{78} + 678 q^{79} + 125 q^{81} + 510 q^{82} + 191 q^{84} + 166 q^{85} + 1080 q^{87} + 62 q^{88} - 105 q^{90} + 550 q^{91} + 635 q^{93} + 986 q^{94} - 1632 q^{96} - 112 q^{97} - 500 q^{99}+O(q^{100}) \) 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9 - 34 * q^10 - 123 * q^12 + 10 * q^13 + 19 * q^15 - 226 * q^16 - 33 * q^18 - 100 * q^19 + 85 * q^21 - 454 * q^22 - 251 * q^24 + 142 * q^25 - 53 * q^27 + 642 * q^28 - 80 * q^30 - 130 * q^31 + 104 * q^33 + 26 * q^34 + 67 * q^36 - 144 * q^37 + 117 * q^39 - 182 * q^40 + 193 * q^42 - 156 * q^43 + 341 * q^45 - 746 * q^46 - 485 * q^48 - 354 * q^49 - 125 * q^51 + 1130 * q^52 + 272 * q^54 - 590 * q^55 + 15 * q^57 - 274 * q^58 - 217 * q^60 - 1134 * q^61 + 279 * q^63 + 58 * q^64 + 1288 * q^66 - 87 * q^69 + 1038 * q^70 - 977 * q^72 + 1208 * q^73 - 751 * q^75 + 1126 * q^76 - 11 * q^78 + 678 * q^79 + 125 * q^81 + 510 * q^82 + 191 * q^84 + 166 * q^85 + 1080 * q^87 + 62 * q^88 - 105 * q^90 + 550 * q^91 + 635 * q^93 + 986 * q^94 - 1632 * q^96 - 112 * q^97 - 500 * q^99

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