LMFDB - Embedded newform 58.4.d.b.25.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [58,4,Mod(7,58)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(58, base_ring=CyclotomicField(14)) chi = DirichletCharacter(H, H._module([6])) N = Newforms(chi, 4, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("58.7"); S:= CuspForms(chi, 4); N := Newforms(S);

Level:	$ N $	$=$	$ 58 = 2 \cdot 29 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	58.d (of order $7$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [24] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$3.42211078033$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			25.1
Character	$\chi$	$=$	58.25
Dual form			58.4.d.b.7.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.445042 + 1.94986i) q^{2} +(-7.53743 + 3.62983i) q^{3} +(-3.60388 - 1.73553i) q^{4} +(2.19061 - 9.59767i) q^{5} +(-3.72318 - 16.3123i) q^{6} +(3.58891 - 1.72833i) q^{7} +(4.98792 - 6.25465i) q^{8} +(26.8029 - 33.6097i) q^{9} +(17.7392 + 8.54273i) q^{10} +(0.323006 + 0.405037i) q^{11} +33.4636 q^{12} +(-54.9223 - 68.8704i) q^{13} +(1.77278 + 7.76704i) q^{14} +(18.3264 + 80.2933i) q^{15} +(9.97584 + 12.5093i) q^{16} -101.671 q^{17} +(53.6057 + 67.2195i) q^{18} +(-12.1149 - 5.83425i) q^{19} +(-24.5518 + 30.7869i) q^{20} +(-20.7776 + 26.0543i) q^{21} +(-0.933515 + 0.449557i) q^{22} +(-17.5703 - 76.9804i) q^{23} +(-14.8927 + 65.2493i) q^{24} +(25.3045 + 12.1860i) q^{25} +(158.730 - 76.4404i) q^{26} +(-29.7640 + 130.404i) q^{27} -15.9336 q^{28} +(45.3522 - 149.440i) q^{29} -164.716 q^{30} +(-69.2882 + 303.571i) q^{31} +(-28.8310 + 13.8843i) q^{32} +(-3.90485 - 1.88048i) q^{33} +(45.2478 - 198.243i) q^{34} +(-8.72604 - 38.2313i) q^{35} +(-154.925 + 74.6080i) q^{36} +(-66.2336 + 83.0542i) q^{37} +(16.7676 - 21.0259i) q^{38} +(663.961 + 319.747i) q^{39} +(-49.1035 - 61.5739i) q^{40} +47.4502 q^{41} +(-41.5552 - 52.1086i) q^{42} +(-15.0614 - 65.9881i) q^{43} +(-0.461118 - 2.02029i) q^{44} +(-263.861 - 330.871i) q^{45} +157.920 q^{46} +(-302.962 - 379.902i) q^{47} +(-120.599 - 58.0773i) q^{48} +(-203.964 + 255.763i) q^{49} +(-35.0226 + 43.9169i) q^{50} +(766.336 - 369.048i) q^{51} +(78.4062 + 343.520i) q^{52} +(123.698 - 541.956i) q^{53} +(-241.024 - 116.071i) q^{54} +(4.59499 - 2.21283i) q^{55} +(7.09110 - 31.0681i) q^{56} +112.493 q^{57} +(271.202 + 154.937i) q^{58} -269.302 q^{59} +(73.3057 - 321.173i) q^{60} +(484.970 - 233.549i) q^{61} +(-561.084 - 270.204i) q^{62} +(38.1044 - 166.946i) q^{63} +(-14.2413 - 62.3954i) q^{64} +(-781.309 + 376.259i) q^{65} +(5.40448 - 6.77700i) q^{66} +(-612.452 + 767.991i) q^{67} +(366.409 + 176.453i) q^{68} +(411.860 + 516.457i) q^{69} +78.4289 q^{70} +(4.52491 + 5.67405i) q^{71} +(-76.5267 - 335.285i) q^{72} +(79.0338 + 346.270i) q^{73} +(-132.467 - 166.108i) q^{74} -234.964 q^{75} +(33.5352 + 42.0518i) q^{76} +(1.85928 + 0.895380i) q^{77} +(-918.951 + 1152.33i) q^{78} +(545.194 - 683.652i) q^{79} +(141.913 - 68.3419i) q^{80} +(9.27481 + 40.6356i) q^{81} +(-21.1173 + 92.5210i) q^{82} +(804.132 + 387.250i) q^{83} +(120.098 - 57.8362i) q^{84} +(-222.721 + 975.803i) q^{85} +135.370 q^{86} +(200.602 + 1291.01i) q^{87} +4.14449 q^{88} +(-151.990 + 665.914i) q^{89} +(762.579 - 367.239i) q^{90} +(-316.142 - 152.246i) q^{91} +(-70.2811 + 307.921i) q^{92} +(-579.659 - 2539.65i) q^{93} +(875.585 - 421.660i) q^{94} +(-82.5343 + 103.495i) q^{95} +(166.914 - 209.303i) q^{96} +(207.304 + 99.8323i) q^{97} +(-407.928 - 511.525i) q^{98} +22.2707 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 8 q^{2} + 5 q^{3} - 16 q^{4} + 16 q^{5} - 4 q^{6} + 71 q^{7} - 32 q^{8} - 27 q^{9} - 10 q^{10} + 110 q^{11} - 64 q^{12} - 107 q^{13} - 54 q^{14} + 417 q^{15} - 64 q^{16} - 128 q^{17} - 54 q^{18}+ \cdots + 10560 q^{99}+O(q^{100}) $ 24 * q - 8 * q^2 + 5 * q^3 - 16 * q^4 + 16 * q^5 - 4 * q^6 + 71 * q^7 - 32 * q^8 - 27 * q^9 - 10 * q^10 + 110 * q^11 - 64 * q^12 - 107 * q^13 - 54 * q^14 + 417 * q^15 - 64 * q^16 - 128 * q^17 - 54 * q^18 - 142 * q^19 + 36 * q^20 + 655 * q^21 + 24 * q^22 - 239 * q^23 - 16 * q^24 - 550 * q^25 + 192 * q^26 - 61 * q^27 - 24 * q^28 - 450 * q^29 - 2092 * q^30 + 420 * q^31 - 128 * q^32 + 165 * q^33 + 934 * q^34 - 532 * q^35 + 88 * q^36 + 85 * q^37 + 626 * q^38 + 1374 * q^39 + 72 * q^40 - 822 * q^41 + 1310 * q^42 + 245 * q^43 - 260 * q^44 + 916 * q^45 + 712 * q^46 + 235 * q^47 + 80 * q^48 - 1507 * q^49 + 510 * q^50 + 333 * q^51 + 104 * q^52 - 121 * q^53 - 836 * q^54 - 584 * q^55 - 216 * q^56 - 1458 * q^57 + 2432 * q^58 - 5226 * q^59 + 1668 * q^60 - 567 * q^61 - 252 * q^62 + 1096 * q^63 - 256 * q^64 + 584 * q^65 + 8 * q^66 - 131 * q^67 + 412 * q^68 - 1412 * q^69 + 1036 * q^70 + 3141 * q^71 - 1112 * q^72 + 3326 * q^73 + 170 * q^74 + 7850 * q^75 + 1252 * q^76 + 2834 * q^77 - 4126 * q^78 + 1728 * q^79 - 80 * q^80 - 10976 * q^81 + 1184 * q^82 - 1287 * q^83 - 2756 * q^84 - 7728 * q^85 - 3724 * q^86 + 4541 * q^87 - 912 * q^88 + 715 * q^89 - 2004 * q^90 - 6757 * q^91 - 956 * q^92 + 4094 * q^93 - 496 * q^94 - 4759 * q^95 + 160 * q^96 + 1779 * q^97 - 3014 * q^98 + 10560 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/58\mathbb{Z}\right)^\times$.

$n$	$31$
$\chi(n)$	$e\left(\frac{4}{7}\right)$

Coefficient data

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

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−0.445042	+	1.94986i	−0.157346	+	0.689378i
$2$	−0.445042	+	1.94986i	−0.157346	+	0.689378i
$3$	−7.53743	+	3.62983i	−1.45058	+	0.698562i	−0.982695	−	0.185229i	$-0.940697\pi$
$3$	−7.53743	+	3.62983i	−1.45058	+	0.698562i	−0.467883	+	0.883791i	$0.654983\pi$
$4$	−3.60388	−	1.73553i	−0.450484	−	0.216942i
$5$	2.19061	−	9.59767i	0.195934	−	0.858442i	−0.777392	−	0.629016i	$-0.783458\pi$
$5$	2.19061	−	9.59767i	0.195934	−	0.858442i	0.973326	−	0.229426i	$-0.0736849\pi$
$6$	−3.72318	−	16.3123i	−0.253330	−	1.10991i
$7$	3.58891	−	1.72833i	0.193783	−	0.0933209i	−0.334476	−	0.942404i	$-0.608559\pi$
$7$	3.58891	−	1.72833i	0.193783	−	0.0933209i	0.528259	+	0.849083i	$0.322845\pi$
$8$	4.98792	−	6.25465i	0.220437	−	0.276419i
$9$	26.8029	−	33.6097i	0.992699	−	1.24480i
$10$	17.7392	+	8.54273i	0.560962	+	0.270145i
$11$	0.323006	+	0.405037i	0.00885364	+	0.0111021i	0.786239	−	0.617923i	$-0.212026\pi$
$11$	0.323006	+	0.405037i	0.00885364	+	0.0111021i	−0.777385	+	0.629025i	$0.783454\pi$
$12$	33.4636			0.805010
$13$	−54.9223	−	68.8704i	−1.17175	−	1.46932i	−0.853328	−	0.521374i	$-0.825420\pi$
$13$	−54.9223	−	68.8704i	−1.17175	−	1.46932i	−0.318419	−	0.947950i	$-0.603152\pi$
$14$	1.77278	+	7.76704i	0.0338424	+	0.148273i
$15$	18.3264	+	80.2933i	0.315457	+	1.38211i
$16$	9.97584	+	12.5093i	0.155872	+	0.195458i
$17$	−101.671			−1.45052			−0.725259	−	0.688477i	$-0.758280\pi$
$17$	−101.671			−1.45052			−0.725259	+	0.688477i	$0.758280\pi$
$18$	53.6057	+	67.2195i	0.701944	+	0.880210i
$19$	−12.1149	−	5.83425i	−0.146282	−	0.0704457i	0.359311	−	0.933218i	$-0.383012\pi$
$19$	−12.1149	−	5.83425i	−0.146282	−	0.0704457i	−0.505593	+	0.862772i	$0.668726\pi$
$20$	−24.5518	+	30.7869i	−0.274497	+	0.344208i
$21$	−20.7776	+	26.0543i	−0.215907	+	0.270739i
$22$	−0.933515	+	0.449557i	−0.00904664	+	0.00435663i
$23$	−17.5703	−	76.9804i	−0.159289	−	0.697892i	−0.989986	−	0.141167i	$-0.954915\pi$
$23$	−17.5703	−	76.9804i	−0.159289	−	0.697892i	0.830697	−	0.556725i	$-0.187942\pi$
$24$	−14.8927	+	65.2493i	−0.126665	+	0.554956i
$25$	25.3045	+	12.1860i	0.202436	+	0.0974882i
$26$	158.730	−	76.4404i	1.19729	−	0.576584i
$27$	−29.7640	+	130.404i	−0.212151	+	0.929494i
$28$	−15.9336			−0.107541
$29$	45.3522	−	149.440i	0.290403	−	0.956904i
$29$	45.3522	−	149.440i	0.290403	−	0.956904i
$30$	−164.716			−1.00243
$31$	−69.2882	+	303.571i	−0.401436	+	1.75881i	0.220154	+	0.975465i	$0.429344\pi$
$31$	−69.2882	+	303.571i	−0.401436	+	1.75881i	−0.621591	+	0.783342i	$0.713513\pi$
$32$	−28.8310	+	13.8843i	−0.159270	+	0.0767005i
$33$	−3.90485	−	1.88048i	−0.0205984	−	0.00991967i
$34$	45.2478	−	198.243i	0.228233	−	0.999955i
$35$	−8.72604	−	38.2313i	−0.0421420	−	0.184636i
$36$	−154.925	+	74.6080i	−0.717246	+	0.345407i
$37$	−66.2336	+	83.0542i	−0.294290	+	0.369028i	−0.906892	−	0.421364i	$-0.861552\pi$
$37$	−66.2336	+	83.0542i	−0.294290	+	0.369028i	0.612602	+	0.790392i	$0.290123\pi$
$38$	16.7676	−	21.0259i	0.0715806	−	0.0897593i
$39$	663.961	+	319.747i	2.72612	+	1.31283i
$40$	−49.1035	−	61.5739i	−0.194099	−	0.243392i
$41$	47.4502			0.180743			0.0903717	−	0.995908i	$-0.471195\pi$
$41$	47.4502			0.180743			0.0903717	+	0.995908i	$0.471195\pi$
$42$	−41.5552	−	52.1086i	−0.152669	−	0.191441i
$43$	−15.0614	−	65.9881i	−0.0534148	−	0.234026i	0.941173	−	0.337925i	$-0.109725\pi$
$43$	−15.0614	−	65.9881i	−0.0534148	−	0.234026i	−0.994588	+	0.103900i	$0.966868\pi$
$44$	−0.461118	−	2.02029i	−0.00157991	−	0.00692205i
$45$	−263.861	−	330.871i	−0.874090	−	1.09607i
$46$	157.920			0.506175
$47$	−302.962	−	379.902i	−0.940246	−	1.17903i	−0.983671	−	0.179974i	$-0.942399\pi$
$47$	−302.962	−	379.902i	−0.940246	−	1.17903i	0.0434257	−	0.999057i	$-0.486173\pi$
$48$	−120.599	−	58.0773i	−0.362645	−	0.174640i
$49$	−203.964	+	255.763i	−0.594647	+	0.745663i
$50$	−35.0226	+	43.9169i	−0.0990588	+	0.124216i
$51$	766.336	−	369.048i	2.10409	−	1.01328i
$52$	78.4062	+	343.520i	0.209096	+	0.916109i
$53$	123.698	−	541.956i	0.320589	−	1.40459i	−0.515919	−	0.856638i	$-0.672549\pi$
$53$	123.698	−	541.956i	0.320589	−	1.40459i	0.836508	−	0.547955i	$-0.184593\pi$
$54$	−241.024	−	116.071i	−0.607392	−	0.292505i
$55$	4.59499	−	2.21283i	0.0112652	−	0.00542505i
$56$	7.09110	−	31.0681i	0.0169212	−	0.0741367i
$57$	112.493			0.261404
$58$	271.202	+	154.937i	0.613975	+	0.350763i
$59$	−269.302			−0.594240			−0.297120	−	0.954840i	$-0.596026\pi$
$59$	−269.302			−0.594240			−0.297120	+	0.954840i	$0.596026\pi$
$60$	73.3057	−	321.173i	0.157729	−	0.691054i
$61$	484.970	−	233.549i	1.01793	−	0.490211i	0.150947	−	0.988542i	$-0.451768\pi$
$61$	484.970	−	233.549i	1.01793	−	0.490211i	0.866987	+	0.498331i	$0.166053\pi$
$62$	−561.084	−	270.204i	−1.14932	−	0.553483i
$63$	38.1044	−	166.946i	0.0762017	−	0.333862i
$64$	−14.2413	−	62.3954i	−0.0278151	−	0.121866i
$65$	−781.309	+	376.259i	−1.49091	+	0.717987i
$66$	5.40448	−	6.77700i	0.0100795	−	0.0126393i
$67$	−612.452	+	767.991i	−1.11676	+	1.40037i	−0.210532	+	0.977587i	$0.567520\pi$
$67$	−612.452	+	767.991i	−1.11676	+	1.40037i	−0.906229	+	0.422787i	$0.861052\pi$
$68$	366.409	+	176.453i	0.653435	+	0.314678i
$69$	411.860	+	516.457i	0.718582	+	0.901074i
$70$	78.4289			0.133915
$71$	4.52491	+	5.67405i	0.00756349	+	0.00948431i	0.785599	−	0.618736i	$-0.212355\pi$
$71$	4.52491	+	5.67405i	0.00756349	+	0.00948431i	−0.778035	+	0.628220i	$0.783784\pi$
$72$	−76.5267	−	335.285i	−0.125260	−	0.548802i
$73$	79.0338	+	346.270i	0.126715	+	0.555175i	0.997932	+	0.0642771i	$0.0204741\pi$
$73$	79.0338	+	346.270i	0.126715	+	0.555175i	−0.871217	+	0.490898i	$0.836669\pi$
$74$	−132.467	−	166.108i	−0.208094	−	0.260942i
$75$	−234.964			−0.361751
$76$	33.5352	+	42.0518i	0.0506152	+	0.0634694i
$77$	1.85928	+	0.895380i	0.00275174	+	0.00132517i
$78$	−918.951	+	1152.33i	−1.33398	+	1.67276i
$79$	545.194	−	683.652i	0.776445	−	0.973631i	−0.223554	−	0.974691i	$-0.571766\pi$
$79$	545.194	−	683.652i	0.776445	−	0.973631i	0.999999	+	0.00106003i	$0.000337418\pi$
$80$	141.913	−	68.3419i	0.198330	−	0.0955107i
$81$	9.27481	+	40.6356i	0.0127226	+	0.0557416i
$82$	−21.1173	+	92.5210i	−0.0284392	+	0.124600i
$83$	804.132	+	387.250i	1.06343	+	0.512123i	0.881985	−	0.471278i	$-0.156207\pi$
$83$	804.132	+	387.250i	1.06343	+	0.512123i	0.181449	+	0.983400i	$0.441921\pi$
$84$	120.098	−	57.8362i	0.155997	−	0.0751243i
$85$	−222.721	+	975.803i	−0.284205	+	1.24518i
$86$	135.370			0.169737
$87$	200.602	+	1291.01i	0.247204	+	1.59093i
$88$	4.14449			0.00502050
$89$	−151.990	+	665.914i	−0.181022	+	0.793109i	0.800123	+	0.599836i	$0.204767\pi$
$89$	−151.990	+	665.914i	−0.181022	+	0.793109i	−0.981145	+	0.193273i	$0.938090\pi$
$90$	762.579	−	367.239i	0.893144	−	0.430115i
$91$	−316.142	−	152.246i	−0.364183	−	0.175381i
$92$	−70.2811	+	307.921i	−0.0796447	+	0.348946i
$93$	−579.659	−	2539.65i	−0.646321	−	2.83172i
$94$	875.585	−	421.660i	0.960742	−	0.462669i
$95$	−82.5343	+	103.495i	−0.0891352	+	0.111772i
$96$	166.914	−	209.303i	0.177454	−	0.222520i
$97$	207.304	+	99.8323i	0.216995	+	0.104499i	0.539224	−	0.842163i	$-0.318718\pi$
$97$	207.304	+	99.8323i	0.216995	+	0.104499i	−0.322229	+	0.946662i	$0.604432\pi$
$98$	−407.928	−	511.525i	−0.420479	−	0.527264i
$99$	22.2707			0.0226090
$100$	−70.0451	−	87.8338i	−0.0700451	−	0.0878338i
$101$	−353.497	−	1548.77i	−0.348260	−	1.52583i	−0.781129	−	0.624370i	$-0.785356\pi$
$101$	−353.497	−	1548.77i	−0.348260	−	1.52583i	0.432868	−	0.901457i	$-0.357501\pi$
$102$	378.539	+	1658.49i	0.367460	+	1.60995i
$103$	−326.593	−	409.535i	−0.312429	−	0.391774i	0.600680	−	0.799490i	$-0.294897\pi$
$103$	−326.593	−	409.535i	−0.312429	−	0.391774i	−0.913109	+	0.407716i	$0.866325\pi$
$104$	−704.709			−0.664446
$105$	204.545	+	256.491i	0.190110	+	0.238390i
$106$	1001.69	+	482.386i	0.917852	+	0.442014i
$107$	−392.022	+	491.581i	−0.354189	+	0.444139i	−0.926725	−	0.375741i	$-0.877388\pi$
$107$	−392.022	+	491.581i	−0.354189	+	0.444139i	0.572536	+	0.819880i	$0.305960\pi$
$108$	333.587	−	418.305i	0.297217	−	0.372698i
$109$	198.467	−	95.5769i	0.174401	−	0.0839872i	−0.344646	−	0.938733i	$-0.612001\pi$
$109$	198.467	−	95.5769i	0.174401	−	0.0839872i	0.519047	+	0.854745i	$0.326287\pi$
$110$	2.26974	+	9.94437i	0.00196737	+	0.00861962i
$111$	197.757	−	866.432i	0.169102	−	0.740884i
$112$	57.4226	+	27.6532i	0.0484457	+	0.0233302i
$113$	−438.446	+	211.144i	−0.365004	+	0.175777i	−0.607391	−	0.794403i	$-0.707784\pi$
$113$	−438.446	+	211.144i	−0.365004	+	0.175777i	0.242387	+	0.970180i	$0.422070\pi$
$114$	−50.0640	+	219.345i	−0.0411309	+	0.180206i
$115$	−777.322			−0.630310
$116$	−422.801	+	459.851i	−0.338415	+	0.368070i
$117$	−3786.79			−2.99221
$118$	119.851	−	525.101i	0.0935013	−	0.409656i
$119$	−364.887	+	175.721i	−0.281085	+	0.135364i
$120$	593.617	+	285.871i	0.451580	+	0.217469i
$121$	296.116	−	1297.37i	0.222476	−	0.974731i
$122$	239.555	+	1049.56i	0.177773	+	0.778874i
$123$	−357.652	+	172.236i	−0.262182	+	0.126260i
$124$	776.565	−	973.781i	0.562400	−	0.705227i
$125$	939.633	−	1178.26i	0.672346	−	0.843096i
$126$	308.563	+	148.596i	0.218167	+	0.105064i
$127$	1784.22	+	2237.34i	1.24664	+	1.56324i	0.641457	+	0.767159i	$0.278330\pi$
$127$	1784.22	+	2237.34i	1.24664	+	1.56324i	0.605187	+	0.796084i	$0.293099\pi$
$128$	128.000			0.0883883
$129$	353.050	+	442.710i	0.240964	+	0.302159i
$130$	−385.935	−	1690.89i	−0.260375	−	1.14078i
$131$	−217.439	−	952.664i	−0.145021	−	0.635379i	−0.994225	−	0.107314i	$-0.965775\pi$
$131$	−217.439	−	952.664i	−0.145021	−	0.635379i	0.849204	−	0.528065i	$-0.177082\pi$
$132$	10.8090	+	13.5540i	0.00712727	+	0.00893731i
$133$	−53.5629			−0.0349210
$134$	−1224.90	−	1535.98i	−0.789669	−	0.990214i
$135$	1186.38	+	571.330i	0.756349	+	0.364239i
$136$	−507.126	+	635.915i	−0.319748	+	0.400951i
$137$	1717.32	−	2153.46i	1.07096	−	1.34294i	0.134988	−	0.990847i	$-0.456900\pi$
$137$	1717.32	−	2153.46i	1.07096	−	1.34294i	0.935967	−	0.352088i	$-0.114528\pi$
$138$	−1190.31	+	573.224i	−0.734247	+	0.353594i
$139$	−374.346	−	1640.12i	−0.228429	−	1.00081i	−0.950921	−	0.309434i	$-0.899861\pi$
$139$	−374.346	−	1640.12i	−0.228429	−	1.00081i	0.722492	−	0.691379i	$-0.242997\pi$
$140$	−34.9042	+	152.925i	−0.0210710	+	0.0923181i
$141$	3662.53	+	1763.78i	2.18753	+	1.05346i
$142$	−13.0774	+	6.29772i	−0.00772836	+	0.00372178i
$143$	10.1548	−	44.4911i	0.00593838	−	0.0260177i
$144$	687.815			0.398041
$145$	−1334.92	−	762.639i	−0.764547	−	0.436784i
$146$	−710.349			−0.402664
$147$	608.987	−	2668.15i	0.341690	−	1.49704i
$148$	382.841	−	184.367i	0.212631	−	0.102398i
$149$	1931.54	+	930.181i	1.06200	+	0.511432i	0.881520	−	0.472146i	$-0.156521\pi$
$149$	1931.54	+	930.181i	1.06200	+	0.511432i	0.180480	+	0.983579i	$0.442235\pi$
$150$	104.569	−	458.147i	0.0569201	−	0.249383i
$151$	−103.539	−	453.633i	−0.0558005	−	0.244478i	0.939334	−	0.343004i	$-0.111444\pi$
$151$	−103.539	−	453.633i	−0.0558005	−	0.244478i	−0.995134	+	0.0985260i	$0.968587\pi$
$152$	−96.9195	+	46.6740i	−0.0517185	+	0.0249063i
$153$	−2725.07	+	3417.13i	−1.43993	+	1.80561i
$154$	−2.57332	+	3.22684i	−0.00134652	+	0.00168848i
$155$	2761.80	+	1330.01i	1.43118	+	0.689220i
$156$	−1837.90	−	2304.66i	−0.943268	−	1.18282i
$157$	−710.493			−0.361169			−0.180584	−	0.983559i	$-0.557799\pi$
$157$	−710.493			−0.361169			−0.180584	+	0.983559i	$0.557799\pi$
$158$	1090.39	+	1367.30i	0.549030	+	0.688461i
$159$	1034.85	+	4533.96i	0.516155	+	2.26142i
$160$	70.0994	+	307.126i	0.0346365	+	0.151753i
$161$	−196.105	−	245.908i	−0.0959955	−	0.120375i
$162$	−83.3612			−0.0404289
$163$	−1457.59	−	1827.76i	−0.700413	−	0.878290i	0.296641	−	0.954989i	$-0.404133\pi$
$163$	−1457.59	−	1827.76i	−0.700413	−	0.878290i	−0.997054	+	0.0766989i	$0.975562\pi$
$164$	−171.005	−	82.3515i	−0.0814220	−	0.0392108i
$165$	−26.6022	+	33.3581i	−0.0125514	+	0.0157389i
$166$	−1112.95	+	1395.60i	−0.520373	+	0.652527i
$167$	−2518.69	+	1212.94i	−1.16708	+	0.562036i	−0.914121	−	0.405441i	$-0.867118\pi$
$167$	−2518.69	+	1212.94i	−1.16708	+	0.562036i	−0.252959	+	0.967477i	$0.581404\pi$
$168$	59.3235	+	259.913i	0.0272435	+	0.119362i
$169$	−1237.79	+	5423.13i	−0.563402	+	2.46843i
$170$	−1803.56	−	868.546i	−0.813685	−	0.391850i
$171$	−520.803	+	250.805i	−0.232905	+	0.112161i
$172$	−60.2455	+	263.953i	−0.0267074	+	0.117013i
$173$	−945.795			−0.415650			−0.207825	−	0.978166i	$-0.566638\pi$
$173$	−945.795			−0.415650			−0.207825	+	0.978166i	$0.566638\pi$
$174$	−2606.56	−	183.409i	−1.13565	−	0.0799092i
$175$	111.877			0.0483264
$176$	−1.84447	+	8.08116i	−0.000789957	+	0.00346103i
$177$	2029.85	−	977.522i	0.861992	−	0.415113i
$178$	−1230.79	−	592.719i	−0.518269	−	0.249585i
$179$	302.727	−	1326.33i	0.126407	−	0.553825i	−0.871571	−	0.490269i	$-0.836899\pi$
$179$	302.727	−	1326.33i	0.126407	−	0.553825i	0.997978	−	0.0635564i	$-0.0202443\pi$
$180$	376.683	+	1650.36i	0.155979	+	0.683391i
$181$	2077.65	−	1000.54i	0.853207	−	0.410883i	0.0444399	−	0.999012i	$-0.485850\pi$
$181$	2077.65	−	1000.54i	0.853207	−	0.410883i	0.808767	+	0.588129i	$0.200135\pi$
$182$	437.554	−	548.675i	0.178207	−	0.223464i
$183$	−2807.68	+	3520.72i	−1.13415	+	1.42218i
$184$	−569.125	−	274.076i	−0.228024	−	0.109811i
$185$	652.036	+	817.627i	0.259128	+	0.324936i
$186$	5209.93			2.05382
$187$	−32.8403	−	41.1804i	−0.0128424	−	0.0161038i
$188$	432.503	+	1894.92i	0.167785	+	0.735114i
$189$	118.561	+	519.452i	0.0456300	+	0.199918i
$190$	−165.069	−	206.989i	−0.0630281	−	0.0790347i
$191$	−2644.17			−1.00170			−0.500851	−	0.865534i	$-0.666980\pi$
$191$	−2644.17			−1.00170			−0.500851	+	0.865534i	$0.666980\pi$
$192$	333.828	+	418.607i	0.125479	+	0.157346i
$193$	1741.34	+	838.586i	0.649453	+	0.312760i	0.729449	−	0.684035i	$-0.239776\pi$
$193$	1741.34	+	838.586i	0.649453	+	0.312760i	−0.0799960	+	0.996795i	$0.525491\pi$
$194$	−286.918	+	359.783i	−0.106183	+	0.133149i
$195$	4523.30	−	5672.04i	1.66113	−	2.08299i
$196$	1178.95	−	567.750i	0.429645	−	0.206906i
$197$	−276.433	−	1211.13i	−0.0999748	−	0.438018i	−0.999998	−	0.00217544i	$-0.999308\pi$
$197$	−276.433	−	1211.13i	−0.0999748	−	0.438018i	0.900023	−	0.435843i	$-0.143550\pi$
$198$	−9.91138	+	43.4246i	−0.00355743	+	0.0155861i
$199$	−1893.21	−	911.724i	−0.674404	−	0.324776i	0.0651477	−	0.997876i	$-0.479248\pi$
$199$	−1893.21	−	911.724i	−0.674404	−	0.324776i	−0.739552	+	0.673100i	$0.764962\pi$
$200$	202.436	−	97.4882i	0.0715720	−	0.0344673i
$201$	1828.64	−	8011.78i	0.641702	−	2.81148i
$202$	3177.20			1.10667
$203$	−95.5156	−	614.709i	−0.0330240	−	0.212532i
$204$	−3402.28			−1.16768
$205$	103.945	−	455.411i	0.0354137	−	0.155158i
$206$	943.882	−	454.550i	0.319240	−	0.153738i
$207$	−3058.22	−	1472.76i	−1.02687	−	0.494513i
$208$	313.625	−	1374.08i	0.104548	−	0.458054i
$209$	−1.55011	−	6.79150i	−0.000513032	−	0.00224774i
$210$	−591.152	+	284.684i	−0.194254	+	0.0935479i
$211$	−443.324	+	555.911i	−0.144643	+	0.181377i	−0.848876	−	0.528593i	$-0.822720\pi$
$211$	−443.324	+	555.911i	−0.144643	+	0.181377i	0.704232	+	0.709970i	$0.251291\pi$
$212$	−1386.38	+	1738.46i	−0.449135	+	0.563198i
$213$	−54.7020	−	26.3431i	−0.0175968	−	0.00847417i
$214$	−784.045	−	983.161i	−0.250450	−	0.314054i
$215$	−666.326			−0.211363
$216$	667.174	+	836.610i	0.210164	+	0.263537i
$217$	276.002	+	1209.24i	0.0863421	+	0.378289i
$218$	98.0348	+	429.519i	0.0304576	+	0.133443i
$219$	−1852.61	−	2323.10i	−0.571634	−	0.716807i
$220$	−20.4002			−0.00625174
$221$	5584.00	+	7002.11i	1.69964	+	2.13128i
$222$	1601.41	+	771.197i	0.484141	+	0.233150i
$223$	2942.62	−	3689.93i	0.883642	−	1.10805i	−0.109827	−	0.993951i	$-0.535030\pi$
$223$	2942.62	−	3689.93i	0.883642	−	1.10805i	0.993469	−	0.114102i	$-0.0363989\pi$
$224$	−79.4753	+	99.6589i	−0.0237061	+	0.0297265i
$225$	1087.80	−	523.858i	0.322312	−	0.155217i
$226$	−216.574	−	948.874i	−0.0637447	−	0.279284i
$227$	399.044	−	1748.33i	0.116676	−	0.511192i	−0.882489	−	0.470334i	$-0.844134\pi$
$227$	399.044	−	1748.33i	0.116676	−	0.511192i	0.999165	−	0.0408583i	$-0.0130092\pi$
$228$	−405.410	−	195.235i	−0.117759	−	0.0567095i
$229$	−5632.66	+	2712.55i	−1.62540	+	0.782752i	−0.625404	+	0.780301i	$0.715066\pi$
$229$	−5632.66	+	2712.55i	−1.62540	+	0.782752i	−0.999997	+	0.00245056i	$0.999220\pi$
$230$	345.941	−	1515.67i	0.0991768	−	0.434522i
$231$	−17.2642			−0.00491733
$232$	−708.479	−	1029.05i	−0.200491	−	0.291210i
$233$	4837.28			1.36009			0.680045	−	0.733170i	$-0.261960\pi$
$233$	4837.28			1.36009			0.680045	+	0.733170i	$0.261960\pi$
$234$	1685.28	−	7383.70i	0.470813	−	2.06277i
$235$	−4309.85	+	2075.51i	−1.19636	+	0.576134i
$236$	970.532	+	467.383i	0.267696	+	0.128916i
$237$	−1627.82	+	7131.94i	−0.446153	+	1.95472i
$238$	−180.239	−	789.681i	−0.0490890	−	0.215073i
$239$	2046.31	−	985.449i	0.553826	−	0.266709i	−0.135969	−	0.990713i	$-0.543415\pi$
$239$	2046.31	−	985.449i	0.553826	−	0.266709i	0.689795	+	0.724004i	$0.257700\pi$
$240$	−821.592	+	1030.24i	−0.220973	+	0.277091i
$241$	−298.221	+	373.958i	−0.0797101	+	0.0999533i	−0.820088	−	0.572238i	$-0.806075\pi$
$241$	−298.221	+	373.958i	−0.0797101	+	0.0999533i	0.740377	+	0.672191i	$0.234647\pi$
$242$	2397.90	+	1154.77i	0.636953	+	0.306740i
$243$	−2469.12	−	3096.18i	−0.651828	−	0.817367i
$244$	−2153.10			−0.564911
$245$	2007.92	+	2517.85i	0.523597	+	0.656570i
$246$	−176.666	−	774.023i	−0.0457878	−	0.200609i
$247$	263.574	+	1154.79i	0.0678979	+	0.297480i
$248$	1553.13	+	1947.56i	0.397677	+	0.498671i
$249$	−7466.74			−1.90034
$250$	1879.27	+	2356.52i	0.475421	+	0.596159i
$251$	−958.192	−	461.441i	−0.240958	−	0.116039i	0.309508	−	0.950897i	$-0.399836\pi$
$251$	−958.192	−	461.441i	−0.240958	−	0.116039i	−0.550466	+	0.834858i	$0.685550\pi$
$252$	−427.065	+	535.523i	−0.106756	+	0.133868i
$253$	25.5046	−	31.9817i	0.00633778	−	0.00794733i
$254$	−5156.54	+	2483.26i	−1.27382	+	0.613439i
$255$	−1863.26	−	8163.48i	−0.457576	−	2.00477i
$256$	−56.9654	+	249.582i	−0.0139076	+	0.0609330i
$257$	4549.45	+	2190.90i	1.10423	+	0.531769i	0.894986	−	0.446095i	$-0.147185\pi$
$257$	4549.45	+	2190.90i	1.10423	+	0.531769i	0.209244	+	0.977864i	$0.432900\pi$
$258$	−1020.34	+	491.372i	−0.246216	+	0.118572i
$259$	−94.1613	+	412.548i	−0.0225903	+	0.0989747i
$260$	3468.75			0.827395
$261$	−3807.05	−	5529.68i	−0.902876	−	1.31141i
$262$	1954.33			0.460835
$263$	37.5381	−	164.465i	0.00880114	−	0.0385603i	−0.970337	−	0.241758i	$-0.922276\pi$
$263$	37.5381	−	164.465i	0.00880114	−	0.0385603i	0.979138	+	0.203197i	$0.0651333\pi$
$264$	−31.2388	+	15.0438i	−0.00728263	+	0.00350713i
$265$	−4930.54	−	2374.43i	−1.14295	−	0.550414i
$266$	23.8378	−	104.440i	0.00549469	−	0.0240738i
$267$	−1271.54	−	5570.97i	−0.291449	−	1.27692i
$268$	3540.08	−	1704.81i	0.806883	−	0.388574i
$269$	−1498.51	+	1879.08i	−0.339651	+	0.425908i	−0.922096	−	0.386962i	$-0.873525\pi$
$269$	−1498.51	+	1879.08i	−0.339651	+	0.425908i	0.582445	+	0.812870i	$0.302096\pi$
$270$	−1642.00	+	2059.00i	−0.370107	+	0.464099i
$271$	1302.36	+	627.185i	0.291929	+	0.140586i	0.574117	−	0.818774i	$-0.305346\pi$
$271$	1302.36	+	627.185i	0.291929	+	0.140586i	−0.282187	+	0.959359i	$0.591060\pi$
$272$	−1014.25	−	1271.83i	−0.226096	−	0.283515i
$273$	2935.52			0.650791
$274$	3434.65	+	4306.91i	0.757280	+	0.949599i
$275$	3.23773	+	14.1854i	0.000709973	+	0.00311060i
$276$	−587.965	−	2576.04i	−0.128230	−	0.561810i
$277$	−96.6101	−	121.145i	−0.0209557	−	0.0262776i	0.771243	−	0.636541i	$-0.219635\pi$
$277$	−96.6101	−	121.145i	−0.0209557	−	0.0262776i	−0.792199	+	0.610263i	$0.791064\pi$
$278$	3364.59			0.725881
$279$	8345.83	+	10465.3i	1.79087	+	2.24568i
$280$	−282.648	−	136.116i	−0.0603266	−	0.0290518i
$281$	−1681.28	+	2108.26i	−0.356928	+	0.447574i	−0.927584	−	0.373616i	$-0.878118\pi$
$281$	−1681.28	+	2108.26i	−0.356928	+	0.447574i	0.570655	+	0.821190i	$0.306689\pi$
$282$	−5069.11	+	6356.46i	−1.07043	+	1.34227i
$283$	−1622.94	+	781.569i	−0.340898	+	0.164168i	−0.596497	−	0.802615i	$-0.703441\pi$
$283$	−1622.94	+	781.569i	−0.340898	+	0.164168i	0.255600	+	0.966783i	$0.417727\pi$
$284$	−6.45968	−	28.3017i	−0.00134969	−	0.00591337i
$285$	246.427	−	1079.67i	0.0512179	−	0.224400i
$286$	82.2320	+	39.6008i	0.0170017	+	0.00818757i
$287$	170.294	−	82.0095i	0.0350250	−	0.0168671i
$288$	−306.107	+	1341.14i	−0.0626302	+	0.274401i
$289$	5423.95			1.10400
$290$	2081.13	−	2263.50i	0.421408	−	0.458336i
$291$	−1924.91			−0.387768
$292$	316.135	−	1385.08i	0.0633576	−	0.277588i
$293$	−2695.86	+	1298.26i	−0.537522	+	0.258857i	−0.682891	−	0.730521i	$-0.739277\pi$
$293$	−2695.86	+	1298.26i	−0.537522	+	0.258857i	0.145369	+	0.989378i	$0.453563\pi$
$294$	4931.48	+	2374.87i	0.978263	+	0.471107i
$295$	−589.935	+	2584.67i	−0.116432	+	0.510121i
$296$	189.108	+	828.536i	0.0371340	+	0.162695i
$297$	−62.4325	+	30.0659i	−0.0121977	+	0.00587408i
$298$	−2673.34	+	3352.26i	−0.519672	+	0.651648i
$299$	−4336.67	+	5438.01i	−0.838783	+	1.05180i
$300$	846.782	+	407.789i	0.162963	+	0.0784790i
$301$	−168.103	−	210.795i	−0.0321904	−	0.0403654i
$302$	930.599			0.177318
$303$	8286.24	+	10390.6i	1.57106	+	1.97005i
$304$	−47.8743	−	209.751i	−0.00903217	−	0.0395725i
$305$	−1179.15	−	5166.19i	−0.221370	−	0.969886i
$306$	−5450.14	−	6834.26i	−1.01818	−	1.27676i
$307$	−6292.47			−1.16981			−0.584903	−	0.811104i	$-0.698867\pi$
$307$	−6292.47			−1.16981			−0.584903	+	0.811104i	$0.698867\pi$
$308$	−5.14664	−	6.45368i	−0.000952133	−	0.00119394i
$309$	3948.22	+	1901.36i	0.726881	+	0.350047i
$310$	−3822.44	+	4793.19i	−0.700323	+	0.878178i
$311$	1268.32	−	1590.42i	0.231253	−	0.289982i	−0.652643	−	0.757666i	$-0.726340\pi$
$311$	1268.32	−	1590.42i	0.231253	−	0.289982i	0.883896	+	0.467683i	$0.154911\pi$
$312$	5311.69	−	2557.97i	0.963831	−	0.464156i
$313$	−1145.69	−	5019.60i	−0.206896	−	0.906469i	−0.966618	−	0.256221i	$-0.917522\pi$
$313$	−1145.69	−	5019.60i	−0.206896	−	0.906469i	0.759723	−	0.650247i	$-0.225335\pi$
$314$	316.199	−	1385.36i	0.0568285	−	0.248982i
$315$	−1518.83	−	731.428i	−0.271670	−	0.130830i
$316$	−3151.32	+	1517.59i	−0.560998	+	0.270162i
$317$	−4.57118	+	20.0277i	−0.000809915	+	0.00354847i	−0.975331	−	0.220746i	$-0.929151\pi$
$317$	−4.57118	+	20.0277i	−0.000809915	+	0.00354847i	0.974521	+	0.224295i	$0.0720079\pi$
$318$	−9301.11			−1.64019
$319$	75.1776	−	29.9006i	0.0131948	−	0.00524800i
$320$	−630.048			−0.110065
$321$	1170.48	−	5128.23i	0.203520	−	0.891681i
$322$	566.761	−	272.938i	0.0980881	−	0.0472367i
$323$	1231.74	+	593.173i	0.212185	+	0.102183i
$324$	37.0992	−	162.542i	0.00636132	−	0.0278708i
$325$	−550.528	−	2412.02i	−0.0939624	−	0.411676i
$326$	4212.56	−	2028.66i	0.715681	−	0.344654i
$327$	−1149.01	+	1440.81i	−0.194312	+	0.243660i
$328$	236.678	−	296.784i	0.0398425	−	0.0499609i
$329$	−1743.90	−	839.818i	−0.292232	−	0.140731i
$330$	−53.2044	−	66.7162i	−0.00887517	−	0.0111291i
$331$	7836.22			1.30126			0.650631	−	0.759394i	$-0.274505\pi$
$331$	7836.22			1.30126			0.650631	+	0.759394i	$0.274505\pi$
$332$	−2225.91	−	2791.20i	−0.367959	−	0.461407i
$333$	1016.18	+	4452.18i	0.167227	+	0.732667i
$334$	−1244.13	−	5450.90i	−0.203820	−	0.892994i
$335$	6029.29	+	7560.48i	0.983329	+	1.23305i
$336$	−533.195			−0.0865719
$337$	−4679.63	−	5868.07i	−0.756427	−	0.948529i	0.243344	−	0.969940i	$-0.421756\pi$
$337$	−4679.63	−	5868.07i	−0.756427	−	0.948529i	−0.999771	+	0.0214107i	$0.993184\pi$
$338$	−10023.5	−	4827.04i	−1.61303	−	0.776794i
$339$	2538.33	−	3182.97i	0.406677	−	0.509956i
$340$	2496.20	−	3130.13i	0.398163	−	0.499280i
$341$	−145.338	+	69.9911i	−0.0230806	+	0.0111151i
$342$	−257.255	−	1127.11i	−0.0406748	−	0.178208i
$343$	−593.997	+	2602.47i	−0.0935068	+	0.409680i
$344$	−487.858	−	234.940i	−0.0764637	−	0.0368230i
$345$	5859.01	−	2821.55i	0.914314	−	0.440310i
$346$	420.918	−	1844.16i	0.0654009	−	0.286540i
$347$	−4455.29			−0.689258			−0.344629	−	0.938739i	$-0.611995\pi$
$347$	−4455.29			−0.689258			−0.344629	+	0.938739i	$0.611995\pi$
$348$	1517.65	−	5000.79i	0.233777	−	0.770318i
$349$	6430.33			0.986269			0.493134	−	0.869953i	$-0.335851\pi$
$349$	6430.33			0.986269			0.493134	+	0.869953i	$0.335851\pi$
$350$	−49.7900	+	218.144i	−0.00760397	+	0.0333152i
$351$	10615.7	−	5112.26i	1.61432	−	0.777414i
$352$	−14.9362	−	7.19291i	−0.00226166	−	0.00108916i
$353$	1345.98	−	5897.11i	0.202944	−	0.889155i	−0.766189	−	0.642615i	$-0.777849\pi$
$353$	1345.98	−	5897.11i	0.202944	−	0.889155i	0.969133	−	0.246539i	$-0.0792935\pi$
$354$	1002.66	+	4392.94i	0.150539	+	0.659555i
$355$	64.3700	−	30.9989i	0.00962367	−	0.00463452i
$356$	1703.47	−	2136.09i	0.253606	−	0.318012i
$357$	2112.48	−	2648.96i	0.313177	−	0.392711i
$358$	2451.43	+	1180.55i	0.361905	+	0.174284i
$359$	−3909.22	−	4902.00i	−0.574709	−	0.720662i	0.406491	−	0.913655i	$-0.366752\pi$
$359$	−3909.22	−	4902.00i	−0.574709	−	0.720662i	−0.981200	+	0.192992i	$0.938181\pi$
$360$	−3385.60			−0.495657
$361$	−4163.78	−	5221.22i	−0.607054	−	0.761222i
$362$	1026.27	+	4496.40i	0.149005	+	0.652833i
$363$	2477.28	+	10853.7i	0.358191	+	1.56934i
$364$	875.108	+	1097.35i	0.126011	+	0.158013i
$365$	3496.51			0.501413
$366$	−5615.36	−	7041.43i	−0.801965	−	1.00563i
$367$	1015.48	+	489.028i	0.144435	+	0.0695561i	0.504705	−	0.863292i	$-0.331601\pi$
$367$	1015.48	+	489.028i	0.144435	+	0.0695561i	−0.360270	+	0.932848i	$0.617316\pi$
$368$	787.693	−	987.735i	0.111580	−	0.139916i
$369$	1271.80	−	1594.79i	0.179424	−	0.224990i
$370$	−1884.44	+	907.498i	−0.264776	+	0.127510i
$371$	−492.737	−	2158.82i	−0.0689532	−	0.302104i
$372$	−2318.63	+	10158.6i	−0.323160	+	1.41586i
$373$	1649.69	+	794.451i	0.229002	+	0.110282i	0.544867	−	0.838523i	$-0.316580\pi$
$373$	1649.69	+	794.451i	0.229002	+	0.110282i	−0.315864	+	0.948804i	$0.602294\pi$
$374$	94.9112	−	45.7068i	0.0131223	−	0.00631937i
$375$	−2805.52	+	12291.8i	−0.386337	+	1.69265i
$376$	−3887.31			−0.533172
$377$	−12782.8	+	5084.14i	−1.74628	+	0.694554i
$378$	−1065.62			−0.144999
$379$	988.440	−	4330.64i	0.133965	−	0.586939i	−0.862727	−	0.505670i	$-0.831245\pi$
$379$	988.440	−	4330.64i	0.133965	−	0.586939i	0.996692	−	0.0812694i	$-0.0258974\pi$
$380$	477.062	−	229.741i	0.0644020	−	0.0310144i
$381$	−21569.6	−	10387.4i	−2.90038	−	1.39675i
$382$	1176.76	−	5155.74i	0.157614	−	0.690551i
$383$	−1276.75	−	5593.79i	−0.170336	−	0.746291i	−0.985860	−	0.167568i	$-0.946409\pi$
$383$	−1276.75	−	5593.79i	−0.170336	−	0.746291i	0.815525	−	0.578723i	$-0.196449\pi$
$384$	−964.790	+	464.619i	−0.128214	+	0.0617447i
$385$	12.6665	−	15.8833i	0.00167674	−	0.00210257i
$386$	−2410.09	+	3022.16i	−0.317799	+	0.398507i
$387$	−2621.53	−	1262.46i	−0.344341	−	0.165826i
$388$	−573.835	−	719.567i	−0.0750827	−	0.0941507i
$389$	3137.09			0.408886			0.204443	−	0.978878i	$-0.434462\pi$
$389$	3137.09			0.408886			0.204443	+	0.978878i	$0.434462\pi$
$390$	9046.60	+	11344.1i	1.17460	+	1.47290i
$391$	1786.38	+	7826.66i	0.231052	+	1.01230i
$392$	582.351	+	2551.45i	0.0750336	+	0.328744i
$393$	5096.94	+	6391.37i	0.654216	+	0.820361i
$394$	2484.56			0.317691
$395$	−5367.16	−	6730.21i	−0.683674	−	0.857300i
$396$	−80.2607	−	38.6515i	−0.0101850	−	0.00490483i
$397$	−4323.02	+	5420.89i	−0.546514	+	0.685307i	−0.976001	−	0.217766i	$-0.930123\pi$
$397$	−4323.02	+	5420.89i	−0.546514	+	0.685307i	0.429487	+	0.903073i	$0.358694\pi$
$398$	2620.29	−	3285.74i	0.330008	−	0.413817i
$399$	403.727	−	194.425i	0.0506557	−	0.0243945i
$400$	99.9953	+	438.108i	0.0124994	+	0.0547635i
$401$	−648.703	+	2842.15i	−0.0807847	+	0.353941i	−0.999124	−	0.0418537i	$-0.986674\pi$
$401$	−648.703	+	2842.15i	−0.0807847	+	0.353941i	0.918339	+	0.395795i	$0.129531\pi$
$402$	14808.0	+	7131.15i	1.83720	+	0.884750i
$403$	24712.6	−	11900.9i	3.05464	−	1.47104i
$404$	−1413.99	+	6195.09i	−0.174130	+	0.762914i
$405$	410.325			0.0503437
$406$	1241.10	+	87.3294i	0.151711	+	0.0106751i
$407$	−55.0339			−0.00670253
$408$	1514.16	−	6633.95i	0.183730	−	0.804974i
$409$	1123.84	−	541.212i	0.135868	−	0.0654308i	−0.364714	−	0.931119i	$-0.618833\pi$
$409$	1123.84	−	541.212i	0.135868	−	0.0654308i	0.500583	+	0.865689i	$0.333119\pi$
$410$	841.727	+	405.354i	0.101390	+	0.0488269i
$411$	−5127.51	+	22465.1i	−0.615381	+	2.69616i
$412$	466.239	+	2042.73i	0.0557523	+	0.244267i
$413$	−966.502	+	465.443i	−0.115154	+	0.0554550i
$414$	4232.71	−	5307.65i	0.502479	−	0.630089i
$415$	5478.23	−	6869.49i	0.647990	−	0.812554i
$416$	2539.68	+	1223.05i	0.299322	+	0.144146i
$417$	8774.96	+	11003.4i	1.03048	+	1.29219i
$418$	13.9323			0.00163027
$419$	−6720.28	−	8426.96i	−0.783549	−	0.982540i	−0.999981	−	0.00624168i	$-0.998013\pi$
$419$	−6720.28	−	8426.96i	−0.783549	−	0.982540i	0.216431	−	0.976298i	$-0.430558\pi$
$420$	−292.005	−	1279.36i	−0.0339247	−	0.148634i
$421$	−1595.87	−	6991.98i	−0.184746	−	0.809426i	−0.979330	−	0.202271i	$-0.935168\pi$
$421$	−1595.87	−	6991.98i	−0.184746	−	0.809426i	0.794583	−	0.607155i	$-0.207689\pi$
$422$	−886.649	−	1111.82i	−0.102278	−	0.128253i
$423$	−20888.7			−2.40104
$424$	−2772.75	−	3476.92i	−0.317587	−	0.398241i
$425$	−2572.73	−	1238.96i	−0.293637	−	0.141408i
$426$	75.7099	−	94.9372i	0.00861070	−	0.0107975i
$427$	1336.86	−	1676.37i	0.151511	−	0.189989i
$428$	2265.96	−	1091.23i	0.255909	−	0.123239i
$429$	84.9542	+	372.209i	0.00956091	+	0.0418891i
$430$	296.543	−	1299.24i	0.0332572	−	0.145709i
$431$	−7098.14	−	3418.29i	−0.793284	−	0.382026i	−0.00706652	−	0.999975i	$-0.502249\pi$
$431$	−7098.14	−	3418.29i	−0.793284	−	0.382026i	−0.786218	+	0.617949i	$0.787964\pi$
$432$	−1928.19	+	928.567i	−0.214745	+	0.103416i
$433$	−799.600	+	3503.28i	−0.0887444	+	0.388815i	−0.999720	−	0.0236447i	$-0.992473\pi$
$433$	−799.600	+	3503.28i	−0.0887444	+	0.388815i	0.910976	+	0.412459i	$0.135330\pi$
$434$	−2480.68			−0.274370
$435$	12830.1	+	902.785i	1.41416	+	0.0995063i
$436$	−881.129			−0.0967854
$437$	−236.260	+	1035.12i	−0.0258623	+	0.113310i
$438$	5354.20	−	2578.45i	0.584095	−	0.281285i
$439$	6311.12	+	3039.28i	0.686135	+	0.330425i	0.744266	−	0.667884i	$-0.232800\pi$
$439$	6311.12	+	3039.28i	0.686135	+	0.330425i	−0.0581304	+	0.998309i	$0.518514\pi$
$440$	9.07895	−	39.7775i	0.000983686	−	0.00430981i
$441$	3129.30	+	13710.3i	0.337900	+	1.48044i
$442$	−16138.2	+	7771.76i	−1.73669	+	0.836346i
$443$	−6201.98	+	7777.04i	−0.665158	+	0.834082i	−0.993894	−	0.110340i	$-0.964806\pi$
$443$	−6201.98	+	7777.04i	−0.665158	+	0.834082i	0.328736	+	0.944422i	$0.393378\pi$
$444$	−2216.42	+	2779.30i	−0.236906	+	0.297071i
$445$	6058.27	+	2917.51i	0.645370	+	0.310794i
$446$	5885.23	+	7379.85i	0.624829	+	0.783511i
$447$	−17935.3			−1.89778
$448$	−158.951	−	199.318i	−0.0167627	−	0.0210198i
$449$	−3380.44	−	14810.7i	−0.355307	−	1.55670i	−0.764727	−	0.644354i	$-0.777126\pi$
$449$	−3380.44	−	14810.7i	−0.355307	−	1.55670i	0.409421	−	0.912346i	$-0.365731\pi$
$450$	537.330	+	2354.20i	0.0562889	+	0.246618i
$451$	15.3267	+	19.2191i	0.00160024	+	0.00200663i
$452$	1946.55			0.202562
$453$	2427.03	+	3043.40i	0.251726	+	0.315654i
$454$	3231.39	+	1556.16i	0.334046	+	0.160868i
$455$	−2153.75	+	2700.72i	−0.221911	+	0.278267i
$456$	561.105	−	703.603i	0.0576231	−	0.0722571i
$457$	−8016.38	+	3860.48i	−0.820548	+	0.395155i	−0.796562	−	0.604557i	$-0.793350\pi$
$457$	−8016.38	+	3860.48i	−0.820548	+	0.395155i	−0.0239862	+	0.999712i	$0.507636\pi$
$458$	−2782.31	−	12190.1i	−0.283862	−	1.24368i
$459$	3026.13	−	13258.3i	0.307729	−	1.34825i
$460$	2801.37	+	1349.07i	0.283945	+	0.136741i
$461$	2455.21	−	1182.37i	0.248049	−	0.119454i	−0.305729	−	0.952119i	$-0.598900\pi$
$461$	2455.21	−	1182.37i	0.248049	−	0.119454i	0.553778	+	0.832665i	$0.313186\pi$
$462$	7.68331	−	33.6628i	0.000773723	−	0.00338990i
$463$	5768.03			0.578969			0.289485	−	0.957183i	$-0.406516\pi$
$463$	5768.03			0.578969			0.289485	+	0.957183i	$0.406516\pi$
$464$	2321.81	−	923.460i	0.232300	−	0.0923935i
$465$	−25644.5			−2.55750
$466$	−2152.79	+	9432.01i	−0.214005	+	0.937617i
$467$	9910.03	−	4772.42i	0.981973	−	0.472893i	0.127190	−	0.991878i	$-0.459404\pi$
$467$	9910.03	−	4772.42i	0.981973	−	0.472893i	0.854783	+	0.518985i	$0.173690\pi$
$468$	13647.1	+	6572.11i	1.34795	+	0.649137i
$469$	−870.696	+	3814.77i	−0.0857250	+	0.375586i
$470$	−2128.89	−	9327.27i	−0.208933	−	0.915394i
$471$	5355.29	−	2578.97i	0.523904	−	0.252299i
$472$	−1343.26	+	1684.39i	−0.130992	+	0.164259i
$473$	21.8627	−	27.4150i	0.00212526	−	0.00266499i
$474$	−13181.8	−	6348.03i	−1.27734	−	0.615136i
$475$	−235.467	−	295.266i	−0.0227452	−	0.0285215i
$476$	1619.98			0.155991
$477$	−14899.5	−	18683.4i	−1.43020	−	1.79341i
$478$	1010.79	+	4428.57i	0.0967208	+	0.423761i
$479$	2181.13	+	9556.17i	0.208055	+	0.911551i	0.965859	+	0.259068i	$0.0834153\pi$
$479$	2181.13	+	9556.17i	0.208055	+	0.911551i	−0.757804	+	0.652483i	$0.773728\pi$
$480$	−1643.18	−	2060.49i	−0.156251	−	0.195933i
$481$	9357.68			0.887055
$482$	−596.443	−	747.916i	−0.0563635	−	0.0706776i
$483$	2370.74	+	1141.69i	0.223338	+	0.107554i
$484$	−3318.79	+	4161.63i	−0.311682	+	0.390837i
$485$	1412.28	−	1770.94i	0.132223	−	0.165803i
$486$	7135.97	−	3436.50i	0.666037	−	0.320747i
$487$	3035.26	+	13298.4i	0.282425	+	1.23738i	0.894674	+	0.446719i	$0.147408\pi$
$487$	3035.26	+	13298.4i	0.282425	+	1.23738i	−0.612249	+	0.790665i	$0.709735\pi$
$488$	958.221	−	4198.24i	0.0888865	−	0.389437i
$489$	17620.9	+	8485.80i	1.62954	+	0.784747i
$490$	−5803.06	+	2794.61i	−0.535011	+	0.257648i
$491$	−4192.02	+	18366.4i	−0.385302	+	1.68812i	0.295252	+	0.955419i	$0.404596\pi$
$491$	−4192.02	+	18366.4i	−0.385302	+	1.68812i	−0.680554	+	0.732698i	$0.738261\pi$
$492$	1587.86			0.145500
$493$	−4610.99	+	15193.6i	−0.421235	+	1.38801i
$494$	−2368.98			−0.215760
$495$	48.7863	−	213.747i	0.00442986	−	0.0194085i
$496$	−4488.67	+	2161.63i	−0.406346	+	0.195686i
$497$	26.0461	+	12.5431i	0.00235076	+	0.00113207i
$498$	3323.01	−	14559.1i	0.299011	−	1.31005i
$499$	−1875.46	−	8216.92i	−0.168250	−	0.737154i	−0.986697	−	0.162571i	$-0.948021\pi$
$499$	−1875.46	−	8216.92i	−0.168250	−	0.737154i	0.818446	−	0.574583i	$-0.194836\pi$
$500$	−5431.23	+	2615.54i	−0.485784	+	0.233941i
$501$	14581.7	−	18284.9i	1.30032	−	1.63056i
$502$	1326.18	−	1662.97i	0.117909	−	0.147853i
$503$	1704.67	+	820.927i	0.151108	+	0.0727700i	0.507910	−	0.861410i	$-0.330418\pi$
$503$	1704.67	+	820.927i	0.151108	+	0.0727700i	−0.356801	+	0.934180i	$0.616133\pi$
$504$	−854.130	−	1071.05i	−0.0754881	−	0.0946590i
$505$	−15639.0			−1.37807
$506$	51.0092	+	63.9635i	0.00448149	+	0.00561961i
$507$	−10355.3	−	45369.4i	−0.907089	−	3.97421i
$508$	−2547.12	−	11159.7i	−0.222461	−	0.974666i
$509$	−1808.63	−	2267.95i	−0.157498	−	0.197496i	0.696822	−	0.717245i	$-0.254597\pi$
$509$	−1808.63	−	2267.95i	−0.157498	−	0.197496i	−0.854319	+	0.519749i	$0.826026\pi$
$510$	16746.8			1.45404
$511$	882.113	+	1106.13i	0.0763647	+	0.0957583i
$512$	−461.296	−	222.148i	−0.0398176	−	0.0191751i
$513$	1121.40	−	1406.19i	0.0965128	−	0.121023i
$514$	−6296.64	+	7895.73i	−0.540336	+	0.677560i
$515$	−4646.02	+	2237.41i	−0.397530	+	0.191441i
$516$	−504.008	−	2208.20i	−0.0429995	−	0.188393i
$517$	56.0159	−	245.422i	0.00476513	−	0.0208774i
$518$	−762.503	−	367.202i	−0.0646765	−	0.0311466i
$519$	7128.86	−	3433.08i	0.602933	−	0.290357i
$520$	−1543.74	+	6763.56i	−0.130187	+	0.570388i
$521$	17643.9			1.48367			0.741835	−	0.670583i	$-0.233956\pi$
$521$	17643.9			1.48367			0.741835	+	0.670583i	$0.233956\pi$
$522$	12476.4	−	4962.27i	1.04612	−	0.416078i
$523$	18022.7			1.50684			0.753419	−	0.657541i	$-0.228403\pi$
$523$	18022.7			1.50684			0.753419	+	0.657541i	$0.228403\pi$
$524$	−869.757	+	3810.66i	−0.0725105	+	0.317689i
$525$	−843.266	+	406.095i	−0.0701012	+	0.0337590i
$526$	303.977	+	146.388i	0.0251978	+	0.0121346i
$527$	7044.59	−	30864.3i	0.582290	−	2.55118i
$528$	−15.4307	−	67.6063i	−0.00127185	−	0.00557232i
$529$	5344.82	−	2573.93i	0.439289	−	0.211550i
$530$	6824.09	−	8557.13i	0.559282	−	0.701317i
$531$	−7218.07	+	9051.18i	−0.589901	+	0.739713i
$532$	193.034	+	92.9604i	0.0157314	+	0.00757583i
$533$	−2606.08	−	3267.91i	−0.211785	−	0.265571i
$534$	11428.5			0.926140
$535$	3859.26	+	4839.36i	0.311870	+	0.391073i
$536$	1748.65	+	7661.35i	0.140915	+	0.617388i
$537$	2532.58	+	11096.0i	0.203518	+	0.891670i
$538$	−2997.03	−	3758.15i	−0.240169	−	0.301163i
$539$	−169.475			−0.0135432
$540$	−3284.00	−	4118.00i	−0.261705	−	0.328168i
$541$	−14093.4	−	6787.01i	−1.12000	−	0.539365i	−0.220109	−	0.975475i	$-0.570641\pi$
$541$	−14093.4	−	6787.01i	−1.12000	−	0.539365i	−0.899893	+	0.436111i	$0.856356\pi$
$542$	−1802.53	+	2260.29i	−0.142851	+	0.179129i
$543$	−12028.3	+	15083.0i	−0.950616	+	1.19204i
$544$	2931.27	−	1411.63i	0.231024	−	0.111255i
$545$	−482.552	−	2114.20i	−0.0379271	−	0.166169i
$546$	−1306.43	+	5723.85i	−0.102399	+	0.448641i
$547$	14828.4	+	7140.98i	1.15908	+	0.558183i	0.911749	−	0.410748i	$-0.134732\pi$
$547$	14828.4	+	7140.98i	1.15908	+	0.558183i	0.247330	+	0.968931i	$0.420447\pi$
$548$	−9926.42	+	4780.31i	−0.773787	+	0.372636i
$549$	5149.05	−	22559.5i	0.400285	−	1.75376i
$550$	−29.1005			−0.00225609
$551$	−1421.31	+	1545.86i	−0.109891	+	0.119520i
$552$	5284.58			0.407476
$553$	775.079	−	3395.84i	0.0596016	−	0.261132i
$554$	279.211	−	134.461i	0.0214125	−	0.0103117i
$555$	−7882.52	−	3796.02i	−0.602873	−	0.290328i
$556$	−1497.38	+	6560.47i	−0.114214	+	0.500406i
$557$	3146.11	+	13784.0i	0.239327	+	1.04856i	0.941621	+	0.336673i	$0.109302\pi$
$557$	3146.11	+	13784.0i	0.239327	+	1.04856i	−0.702295	+	0.711886i	$0.747841\pi$
$558$	−24120.1	+	11615.7i	−1.82991	+	0.881236i
$559$	−3717.43	+	4661.51i	−0.281271	+	0.352702i
$560$	391.197	−	490.546i	0.0295198	−	0.0370167i
$561$	397.009	+	191.190i	0.0298783	+	0.0143886i
$562$	−3362.56	−	4216.52i	−0.252386	−	0.316483i
$563$	−8929.47			−0.668441			−0.334221	−	0.942495i	$-0.608473\pi$
$563$	−8929.47			−0.668441			−0.334221	+	0.942495i	$0.608473\pi$
$564$	−10138.2	−	12712.9i	−0.756907	−	0.949132i
$565$	1066.03	+	4670.59i	0.0793776	+	0.347776i
$566$	−801.669	−	3512.34i	−0.0595347	−	0.260839i
$567$	103.518	+	129.808i	0.00766729	+	0.00961448i
$568$	58.0591			0.00428892
$569$	9623.27	+	12067.2i	0.709013	+	0.889074i	0.997661	−	0.0683614i	$-0.0217771\pi$
$569$	9623.27	+	12067.2i	0.709013	+	0.889074i	−0.288648	+	0.957435i	$0.593206\pi$
$570$	1995.53	+	960.996i	0.146638	+	0.0706170i
$571$	−7478.94	+	9378.29i	−0.548133	+	0.687337i	−0.976315	−	0.216356i	$-0.930583\pi$
$571$	−7478.94	+	9378.29i	−0.548133	+	0.687337i	0.428182	+	0.903693i	$0.359154\pi$
$572$	−113.813	+	142.716i	−0.00831948	+	0.0104323i
$573$	19930.2	−	9597.88i	1.45305	−	0.699751i
$574$	84.1185	+	368.547i	0.00611679	+	0.0267994i
$575$	493.477	−	2162.06i	0.0357903	−	0.156808i
$576$	−2478.80	−	1193.73i	−0.179311	−	0.0863518i
$577$	−6749.20	+	3250.24i	−0.486955	+	0.234505i	−0.661218	−	0.750194i	$-0.729960\pi$
$577$	−6749.20	+	3250.24i	−0.486955	+	0.234505i	0.174263	+	0.984699i	$0.444246\pi$
$578$	−2413.89	+	10575.9i	−0.173710	+	0.761074i
$579$	−16169.2			−1.16056
$580$	3487.31	+	5065.26i	0.249660	+	0.362627i
$581$	3555.25			0.253867
$582$	856.667	−	3753.30i	0.0610137	−	0.267319i
$583$	259.467	−	124.953i	0.0184323	−	0.00887654i
$584$	2560.01	+	1232.84i	0.181394	+	0.0873546i
$585$	−8295.37	+	36344.4i	−0.586276	+	2.56864i
$586$	−1331.65	−	5834.32i	−0.0938733	−	0.411286i
$587$	−6819.59	+	3284.14i	−0.479514	+	0.230922i	−0.657996	−	0.753021i	$-0.728596\pi$
$587$	−6819.59	+	3284.14i	−0.479514	+	0.230922i	0.178482	+	0.983943i	$0.442881\pi$
$588$	−6825.37	+	8558.75i	−0.478697	+	0.600267i
$589$	2610.53	−	3273.51i	0.182623	−	0.229002i
$590$	−4777.20	−	2300.58i	−0.333346	−	0.160531i
$591$	6479.80	+	8125.41i	0.451004	+	0.565541i
$592$	−1699.69			−0.118001
$593$	−8775.08	−	11003.6i	−0.607672	−	0.761996i	0.378880	−	0.925446i	$-0.376309\pi$
$593$	−8775.08	−	11003.6i	−0.607672	−	0.761996i	−0.986552	+	0.163450i	$0.947738\pi$
$594$	−30.8391	−	135.115i	−0.00213021	−	0.00933306i
$595$	887.183	+	3887.00i	0.0611277	+	0.267818i
$596$	−5346.67	−	6704.52i	−0.367464	−	0.460785i
$597$	17579.4			1.20515
$598$	−8673.34	−	10876.0i	−0.593109	−	0.743735i
$599$	4161.45	+	2004.05i	0.283860	+	0.136700i	0.570396	−	0.821370i	$-0.306790\pi$
$599$	4161.45	+	2004.05i	0.283860	+	0.136700i	−0.286536	+	0.958069i	$0.592504\pi$
$600$	−1171.98	+	1469.62i	−0.0797433	+	0.0999950i
$601$	−4685.23	+	5875.09i	−0.317994	+	0.398752i	−0.914980	−	0.403500i	$-0.867794\pi$
$601$	−4685.23	+	5875.09i	−0.317994	+	0.398752i	0.596985	+	0.802252i	$0.296365\pi$
$602$	485.832	−	233.964i	0.0328921	−	0.0158400i
$603$	9396.49	+	41168.7i	0.634585	+	2.78030i
$604$	−414.155	+	1814.53i	−0.0279002	+	0.122239i
$605$	−11803.0	−	5684.04i	−0.793160	−	0.381966i
$606$	−23947.9	+	11532.7i	−1.60531	+	0.773077i
$607$	3965.71	−	17374.9i	0.265178	−	1.16182i	−0.650372	−	0.759616i	$-0.725387\pi$
$607$	3965.71	−	17374.9i	0.265178	−	1.16182i	0.915550	−	0.402205i	$-0.131756\pi$
$608$	430.290			0.0287016
$609$	2951.23	+	4286.61i	0.196371	+	0.285226i
$610$	10598.1			0.703450
$611$	−9524.65	+	41730.2i	−0.630649	+	2.76305i
$612$	15751.4	−	7585.45i	1.04038	−	0.501019i
$613$	−19321.6	−	9304.81i	−1.27307	−	0.613079i	−0.329472	−	0.944165i	$-0.606871\pi$
$613$	−19321.6	−	9304.81i	−1.27307	−	0.613079i	−0.943601	+	0.331086i	$0.892585\pi$
$614$	2800.41	−	12269.4i	0.184064	−	0.806438i
$615$	869.592	+	3809.93i	0.0570168	+	0.249807i
$616$	14.8742	−	7.16304i	0.000972888	−	0.000468518i
$617$	6171.57	−	7738.90i	0.402687	−	0.504954i	−0.538600	−	0.842562i	$-0.681046\pi$
$617$	6171.57	−	7738.90i	0.402687	−	0.504954i	0.941287	+	0.337608i	$0.109618\pi$
$618$	−5464.50	+	6852.27i	−0.355687	+	0.446017i
$619$	10152.8	+	4889.32i	0.659248	+	0.317477i	0.733427	−	0.679768i	$-0.237919\pi$
$619$	10152.8	+	4889.32i	0.659248	+	0.317477i	−0.0741793	+	0.997245i	$0.523634\pi$
$620$	−7644.89	−	9586.39i	−0.495203	−	0.620965i
$621$	10561.5			0.682480
$622$	2536.64	+	3180.84i	0.163521	+	0.205049i
$623$	605.437	+	2652.59i	0.0389347	+	0.170584i
$624$	2623.76	+	11495.4i	0.168324	+	0.737477i
$625$	−7061.30	−	8854.59i	−0.451923	−	0.566694i
$626$	10297.4			0.657454
$627$	36.3359	+	45.5637i	0.00231438	+	0.00290214i
$628$	2560.53	+	1233.09i	0.162701	+	0.0783527i
$629$	6734.02	−	8444.19i	0.426873	−	0.535281i
$630$	2102.12	−	2635.98i	0.132937	−	0.166698i
$631$	3666.35	−	1765.62i	0.231308	−	0.111392i	−0.314640	−	0.949211i	$-0.601884\pi$
$631$	3666.35	−	1765.62i	0.231308	−	0.111392i	0.545948	+	0.837819i	$0.316170\pi$
$632$	−1556.62	−	6820.00i	−0.0979732	−	0.429249i
$633$	1323.66	−	5799.33i	0.0831134	−	0.364143i
$634$	−37.0167	−	17.8263i	−0.00231880	−	0.00111668i
$635$	25381.8	−	12223.2i	1.58621	−	0.763880i
$636$	4139.38	−	18135.8i	0.258077	−	1.13071i
$637$	28816.6			1.79240
$638$	24.8447	+	159.892i	0.00154171	+	0.00992194i
$639$	311.984			0.0193144
$640$	280.398	−	1228.50i	0.0173183	−	0.0758763i
$641$	−11802.7	+	5683.87i	−0.727266	+	0.350233i	−0.760608	−	0.649211i	$-0.775099\pi$
$641$	−11802.7	+	5683.87i	−0.727266	+	0.350233i	0.0333420	+	0.999444i	$0.489385\pi$
$642$	9478.39	+	4564.55i	0.582683	+	0.280605i
$643$	6240.21	−	27340.2i	0.382722	−	1.67681i	−0.306192	−	0.951970i	$-0.599055\pi$
$643$	6240.21	−	27340.2i	0.382722	−	1.67681i	0.688914	−	0.724843i	$-0.258088\pi$
$644$	279.957	+	1226.57i	0.0171302	+	0.0750523i
$645$	5022.38	−	2418.65i	0.306599	−	0.147650i
$646$	−1704.78	+	2137.72i	−0.103829	+	0.130197i
$647$	9023.80	−	11315.5i	0.548319	−	0.687570i	−0.428032	−	0.903764i	$-0.640793\pi$
$647$	9023.80	−	11315.5i	0.548319	−	0.687570i	0.976350	+	0.216194i	$0.0693643\pi$
$648$	300.424	+	144.676i	0.0182126	+	0.00877072i
$649$	−86.9863	−	109.077i	−0.00526119	−	0.00659732i
$650$	4948.10			0.298585
$651$	−6469.69	−	8112.74i	−0.389504	−	0.488423i
$652$	2080.83	+	9116.72i	0.124987	+	0.547605i
$653$	−3542.00	−	15518.5i	−0.212265	−	0.929994i	−0.963024	−	0.269417i	$-0.913169\pi$
$653$	−3542.00	−	15518.5i	−0.212265	−	0.929994i	0.750759	−	0.660577i	$-0.229688\pi$
$654$	−2298.01	−	2881.61i	−0.137400	−	0.172294i
$655$	−9619.68			−0.573850
$656$	473.355	+	593.569i	0.0281729	+	0.0353277i
$657$	13756.4	+	6624.71i	0.816875	+	0.393386i
$658$	2413.63	−	3026.60i	0.142999	−	0.179315i
$659$	7970.16	−	9994.27i	0.471128	−	0.590776i	−0.488319	−	0.872665i	$-0.662390\pi$
$659$	7970.16	−	9994.27i	0.471128	−	0.590776i	0.959447	+	0.281889i	$0.0909611\pi$
$660$	153.765	−	74.0494i	0.00906863	−	0.00436722i
$661$	5127.98	+	22467.1i	0.301748	+	1.32204i	0.867487	+	0.497459i	$0.165734\pi$
$661$	5127.98	+	22467.1i	0.301748	+	1.32204i	−0.565739	+	0.824584i	$0.691409\pi$
$662$	−3487.45	+	15279.5i	−0.204748	+	0.897061i
$663$	−67505.5	−	32508.9i	−3.95429	−	1.90429i
$664$	6433.06	−	3098.00i	0.375981	−	0.181063i
$665$	−117.335	+	514.080i	−0.00684221	+	0.0299777i
$666$	−9133.36			−0.531397
$667$	−12300.8	−	865.536i	−0.714074	−	0.0502454i
$668$	11182.2			0.647681
$669$	−8785.95	+	38493.7i	−0.507749	+	2.22459i
$670$	−17425.1	+	8391.51i	−1.00476	+	0.483869i
$671$	251.244	+	120.993i	0.0144548	+	0.00696106i
$672$	237.294	−	1039.65i	0.0136218	−	0.0596808i
$673$	−3027.19	−	13263.0i	−0.173387	−	0.759660i	−0.984588	−	0.174892i	$-0.944042\pi$
$673$	−3027.19	−	13263.0i	−0.173387	−	0.759660i	0.811200	−	0.584769i	$-0.198815\pi$
$674$	13524.5	−	6513.07i	0.772916	−	0.372217i
$675$	−2342.28	+	2937.12i	−0.133562	+	0.167481i
$676$	13872.9	−	17396.1i	0.789309	−	0.989762i
$677$	4185.03	+	2015.40i	0.237583	+	0.114414i	0.548887	−	0.835896i	$-0.315052\pi$
$677$	4185.03	+	2015.40i	0.237583	+	0.114414i	−0.311304	+	0.950310i	$0.600766\pi$
$678$	5076.67	+	6365.94i	0.287564	+	0.360594i
$679$	916.538			0.0518019
$680$	4992.40	+	6260.27i	0.281544	+	0.353045i
$681$	3338.37	+	14626.3i	0.187851	+	0.823029i
$682$	−71.7911	−	314.537i	−0.00403083	−	0.0176602i
$683$	12407.1	+	15558.0i	0.695088	+	0.871613i	0.996646	−	0.0818347i	$-0.0260780\pi$
$683$	12407.1	+	15558.0i	0.695088	+	0.871613i	−0.301558	+	0.953448i	$0.597507\pi$
$684$	2312.19			0.129253
$685$	−16906.2	−	21199.7i	−0.942996	−	1.18248i
$686$	−4810.09	−	2316.42i	−0.267712	−	0.128923i
$687$	32609.7	−	40891.2i	1.81097	−	2.27089i
$688$	675.216	−	846.694i	0.0374162	−	0.0469185i
$689$	−44118.5	+	21246.4i	−2.43945	+	1.17478i
$690$	2894.11	+	12679.9i	0.159677	+	0.699589i
$691$	4273.08	−	18721.6i	0.235247	−	1.03069i	−0.709967	−	0.704235i	$-0.751290\pi$
$691$	4273.08	−	18721.6i	0.235247	−	1.03069i	0.945214	−	0.326450i	$-0.105853\pi$
$692$	3408.53	+	1641.46i	0.187244	+	0.0901719i
$693$	79.9274	−	38.4910i	0.00438123	−	0.00210989i
$694$	1982.79	−	8687.17i	0.108452	−	0.475159i
$695$	−16561.4			−0.903897
$696$	9075.41	+	5184.76i	0.494256	+	0.282368i
$697$	−4824.30			−0.262171
$698$	−2861.77	+	12538.2i	−0.155186	+	0.679912i
$699$	−36460.7	+	17558.5i	−1.97292	+	0.950107i
$700$	−403.191	−	194.167i	−0.0217703	−	0.0104840i
$701$	−5790.46	+	25369.7i	−0.311987	+	1.36690i	0.539261	+	0.842139i	$0.318704\pi$
$701$	−5790.46	+	25369.7i	−0.311987	+	1.36690i	−0.851248	+	0.524764i	$0.824153\pi$
$702$	5243.73	+	22974.3i	0.281926	+	1.23520i
$703$	1286.97	−	619.774i	0.0690458	−	0.0332507i
$704$	20.6724	−	25.9224i	0.00110670	−	0.00138776i
$705$	24951.4	−	31288.1i	1.33294	−	1.67146i
$706$	10899.5	+	5248.92i	0.581031	+	0.279810i
$707$	−3945.46	−	4947.44i	−0.209879	−	0.263179i
$708$	−9011.83			−0.478369
$709$	−11813.8	−	14814.0i	−0.625775	−	0.784698i	0.363369	−	0.931645i	$-0.381626\pi$
$709$	−11813.8	−	14814.0i	−0.625775	−	0.784698i	−0.989144	+	0.146948i	$0.953055\pi$
$710$	31.7961	+	139.308i	0.00168069	+	0.00736357i
$711$	−8364.59	−	36647.7i	−0.441205	−	1.93305i
$712$	3406.94	+	4272.17i	0.179327	+	0.224868i
$713$	24586.4			1.29140
$714$	4224.95	+	5297.92i	0.221449	+	0.277689i
$715$	−404.766	−	194.925i	−0.0211712	−	0.0101955i
$716$	−3392.89	+	4254.54i	−0.177092	+	0.222067i
$717$	−11846.9	+	14855.5i	−0.617056	+	0.773764i
$718$	11298.0	−	5440.81i	0.587237	−	0.282798i
$719$	−6369.68	−	27907.4i	−0.330388	−	1.44753i	−0.818380	−	0.574677i	$-0.805128\pi$
$719$	−6369.68	−	27907.4i	−0.330388	−	1.44753i	0.487992	−	0.872848i	$-0.337730\pi$
$720$	1506.73	−	6601.43i	0.0779897	−	0.341695i
$721$	−1879.93	−	905.324i	−0.0971041	−	0.0467629i
$722$	12033.7	−	5795.12i	0.620287	−	0.298715i
$723$	890.417	−	3901.17i	0.0458022	−	0.200672i
$724$	−9224.07			−0.473494
$725$	2968.69	−	3228.84i	0.152075	−	0.165401i
$726$	−22265.6			−1.13823
$727$	4008.80	−	17563.7i	0.204509	−	0.896014i	−0.763640	−	0.645642i	$-0.776590\pi$
$727$	4008.80	−	17563.7i	0.204509	−	0.896014i	0.968150	−	0.250372i	$-0.0805529\pi$
$728$	−2529.14	+	1217.97i	−0.128758	+	0.0620067i
$729$	28835.5	+	13886.4i	1.46500	+	0.705505i
$730$	−1556.10	+	6817.70i	−0.0788954	+	0.345663i
$731$	1531.30	+	6709.07i	0.0774791	+	0.339458i
$732$	16228.8	−	7815.40i	0.819447	−	0.394625i
$733$	−11892.0	+	14912.1i	−0.599237	+	0.751419i	−0.985259	−	0.171070i	$-0.945277\pi$
$733$	−11892.0	+	14912.1i	−0.599237	+	0.751419i	0.386022	+	0.922490i	$0.373849\pi$
$734$	−1405.46	+	1762.40i	−0.0706766	+	0.0886257i
$735$	−24273.9	−	11689.7i	−1.21817	−	0.586642i
$736$	1575.39	+	1975.47i	0.0788988	+	0.0989359i
$737$	−508.891			−0.0254345
$738$	2543.60	+	3189.58i	0.126872	+	0.159092i
$739$	1416.66	+	6206.80i	0.0705179	+	0.308959i	0.997870	−	0.0652303i	$-0.0207782\pi$
$739$	1416.66	+	6206.80i	0.0705179	+	0.308959i	−0.927352	+	0.374189i	$0.877921\pi$
$740$	−930.836	−	4078.26i	−0.0462408	−	0.202594i
$741$	−6178.37	−	7747.43i	−0.306300	−	0.384088i
$742$	4428.68			0.219113
$743$	12019.8	+	15072.3i	0.593489	+	0.744212i	0.984347	−	0.176239i	$-0.0563932\pi$
$743$	12019.8	+	15072.3i	0.593489	+	0.744212i	−0.390858	+	0.920451i	$0.627822\pi$
$744$	−18775.9	−	9042.01i	−0.925213	−	0.445559i
$745$	13158.8	−	16500.6i	0.647117	−	0.811459i
$746$	−2283.25	+	2863.10i	−0.112058	+	0.140517i
$747$	34568.4	−	16647.3i	1.69316	−	0.815384i
$748$	46.8823	+	205.405i	0.00229169	+	0.0100406i
$749$	−557.321	+	2441.78i	−0.0271883	+	0.119120i
$750$	−22718.6	−	10940.7i	−1.10609	−	0.532664i
$751$	−30333.4	+	14607.8i	−1.47388	+	0.709781i	−0.986553	−	0.163441i	$-0.947741\pi$
$751$	−30333.4	+	14607.8i	−1.47388	+	0.709781i	−0.487322	+	0.873222i	$0.662026\pi$
$752$	1730.01	−	7579.69i	0.0838924	−	0.367557i
$753$	8897.25			0.430589
$754$	−4224.46	−	27187.3i	−0.204039	−	1.31313i
$755$	−4580.64			−0.220803
$756$	474.246	−	2077.81i	0.0228150	−	0.0999591i
$757$	−16944.2	+	8159.89i	−0.813536	+	0.391778i	−0.793915	−	0.608029i	$-0.791960\pi$
$757$	−16944.2	+	8159.89i	−0.813536	+	0.391778i	−0.0196215	+	0.999807i	$0.506246\pi$
$758$	8004.22	+	3854.63i	0.383544	+	0.184705i
$759$	−76.1505	+	333.637i	−0.00364175	+	0.0159556i
$760$	235.649	+	1032.45i	0.0112472	+	0.0492773i
$761$	23521.7	−	11327.5i	1.12045	−	0.539580i	0.220418	−	0.975405i	$-0.429258\pi$
$761$	23521.7	−	11327.5i	1.12045	−	0.539580i	0.900031	+	0.435825i	$0.143544\pi$
$762$	29853.2	−	37434.8i	1.41925	−	1.77968i
$763$	547.094	−	686.034i	0.0259582	−	0.0325506i
$764$	9529.24	+	4589.04i	0.451251	+	0.217311i
$765$	26826.9	+	33639.9i	1.26788	+	1.58987i
$766$	11475.3			0.541278
$767$	14790.7	+	18547.0i	0.696299	+	0.873131i
$768$	−476.567	−	2087.98i	−0.0223915	−	0.0981034i
$769$	5399.83	+	23658.2i	0.253216	+	1.10941i	0.928348	+	0.371713i	$0.121230\pi$
$769$	5399.83	+	23658.2i	0.253216	+	1.10941i	−0.675132	+	0.737697i	$0.735913\pi$
$770$	25.3330	+	31.7666i	0.00118563	+	0.00148674i
$771$	−42243.8			−1.97324
$772$	−4820.18	−	6044.32i	−0.224718	−	0.281787i
$773$	9877.71	+	4756.85i	0.459607	+	0.221335i	0.649336	−	0.760501i	$-0.275047\pi$
$773$	9877.71	+	4756.85i	0.459607	+	0.221335i	−0.189729	+	0.981836i	$0.560761\pi$
$774$	3628.31	−	4549.76i	0.168497	−	0.211289i
$775$	−5452.63	+	6837.39i	−0.252728	+	0.316911i
$776$	1658.43	−	798.659i	0.0767194	−	0.0369461i
$777$	−787.745	−	3451.34i	−0.0363709	−	0.159351i
$778$	−1396.14	+	6116.87i	−0.0643367	+	0.281877i
$779$	−574.856	−	276.836i	−0.0264395	−	0.0127326i
$780$	−26145.4	+	12591.0i	−1.20020	+	0.577986i
$781$	−0.836628	+	3.66551i	−3.83315e−5	+	0.000167941i
$782$	−16055.9			−0.734216
$783$	18137.7	+	10362.0i	0.827828	+	0.472936i
$784$	−5234.12			−0.238435
$785$	−1556.41	+	6819.08i	−0.0707652	+	0.310043i
$786$	−14730.6	+	7093.88i	−0.668477	+	0.321922i
$787$	19873.1	+	9570.37i	0.900125	+	0.433477i	0.825934	−	0.563767i	$-0.190648\pi$
$787$	19873.1	+	9570.37i	0.900125	+	0.433477i	0.0741911	+	0.997244i	$0.476363\pi$
$788$	−1105.73	+	4844.53i	−0.0499874	+	0.219009i
$789$	314.041	+	1375.90i	0.0141700	+	0.0620829i
$790$	15511.6	−	7469.97i	0.698578	−	0.336417i
$791$	−1208.62	+	1515.56i	−0.0543280	+	0.0681251i
$792$	111.084	−	139.295i	0.00498385	−	0.00624955i
$793$	−42720.3	−	20573.0i	−1.91304	−	0.921272i
$794$	−8646.04	−	10841.8i	−0.386444	−	0.484585i
$795$	45782.4			2.04243
$796$	5240.58	+	6571.48i	0.233351	+	0.292613i
$797$	6031.81	+	26427.1i	0.268077	+	1.17452i	0.912247	+	0.409641i	$0.134346\pi$
$797$	6031.81	+	26427.1i	0.268077	+	1.17452i	−0.644169	+	0.764883i	$0.722797\pi$
$798$	199.425	+	873.736i	0.00884656	+	0.0387593i
$799$	30802.4	+	38625.0i	1.36384	+	1.71020i
$800$	−898.749			−0.0397195
$801$	18307.4	+	22956.8i	0.807566	+	1.01266i
$802$	−5253.09	−	2529.75i	−0.231288	−	0.111382i
$803$	−114.724	+	143.859i	−0.00504173	+	0.00632212i
$804$	−20494.9	+	25699.8i	−0.899004	+	1.12732i
$805$	−2789.74	+	1343.47i	−0.122143	+	0.0588211i
$806$	12207.0	+	53482.3i	0.533465	+	2.33726i
$807$	4474.20	−	19602.8i	0.195166	−	0.855080i
$808$	−11450.2	−	5514.15i	−0.498537	−	0.240083i
$809$	−27095.9	+	13048.7i	−1.17755	+	0.567080i	−0.917198	−	0.398433i	$-0.869554\pi$
$809$	−27095.9	+	13048.7i	−1.17755	+	0.567080i	−0.260356	+	0.965513i	$0.583840\pi$
$810$	−182.612	+	800.074i	−0.00792138	+	0.0347058i
$811$	−38190.8			−1.65359			−0.826794	−	0.562505i	$-0.809838\pi$
$811$	−38190.8			−1.65359			−0.826794	+	0.562505i	$0.809838\pi$
$812$	−722.622	+	2381.10i	−0.0312304	+	0.102907i
$813$	−12093.0			−0.521674
$814$	24.4924	−	107.308i	0.00105462	−	0.00462057i
$815$	−20735.3	+	9985.57i	−0.891196	+	0.429177i
$816$	12261.4	+	5904.77i	0.526022	+	0.253319i
$817$	−202.524	+	887.314i	−0.00867247	+	0.0379966i
$818$	555.130	+	2432.18i	0.0237282	+	0.103960i
$819$	−13590.5	+	6544.82i	−0.579840	+	0.279236i
$820$	−1164.99	+	1460.85i	−0.0496135	+	0.0622134i
$821$	16767.3	−	21025.6i	0.712770	−	0.893785i	−0.285135	−	0.958487i	$-0.592038\pi$
$821$	16767.3	−	21025.6i	0.712770	−	0.893785i	0.997905	+	0.0647026i	$0.0206099\pi$
$822$	−41521.8	−	19995.8i	−1.76185	−	0.848460i
$823$	−12216.2	−	15318.6i	−0.517410	−	0.648811i	0.452647	−	0.891690i	$-0.350480\pi$
$823$	−12216.2	−	15318.6i	−0.517410	−	0.648811i	−0.970057	+	0.242878i	$0.921908\pi$
$824$	−4190.52			−0.177165
$825$	−75.8949	−	95.1692i	−0.00320281	−	0.00401620i
$826$	−477.412	−	2091.68i	−0.0201105	−	0.0881100i
$827$	4308.20	+	18875.5i	0.181150	+	0.793669i	0.981084	+	0.193582i	$0.0620104\pi$
$827$	4308.20	+	18875.5i	0.181150	+	0.793669i	−0.799934	+	0.600087i	$0.795132\pi$
$828$	8465.42	+	10615.3i	0.355307	+	0.445540i
$829$	33249.8			1.39302			0.696510	−	0.717547i	$-0.254735\pi$
$829$	33249.8			1.39302			0.696510	+	0.717547i	$0.254735\pi$
$830$	10956.5	+	13739.0i	0.458198	+	0.574562i
$831$	1167.93	+	562.444i	0.0487545	+	0.0234789i
$832$	−3515.03	+	4407.71i	−0.146468	+	0.183666i
$833$	20737.2	−	26003.6i	0.862545	−	1.08160i
$834$	−25360.4	+	12212.9i	−1.05295	+	0.507072i
$835$	6123.93	+	26830.7i	0.253805	+	1.11199i
$836$	−6.20046	+	27.1660i	−0.000256516	+	0.00112387i
$837$	−37524.8	−	18071.0i	−1.54964	−	0.746266i
$838$	19422.2	−	9353.22i	0.800630	−	0.385563i
$839$	−2507.11	+	10984.4i	−0.103165	+	0.451994i	0.896790	+	0.442457i	$0.145893\pi$
$839$	−2507.11	+	10984.4i	−0.103165	+	0.451994i	−0.999955	+	0.00953722i	$0.996964\pi$
$840$	2624.52			0.107803
$841$	−20275.4	−	13554.8i	−0.831332	−	0.555776i
$842$	14343.6			0.587070
$843$	5019.90	−	21993.6i	0.205094	−	0.898577i
$844$	2562.49	−	1234.03i	0.104508	−	0.0503283i
$845$	49337.9	+	23759.9i	2.00861	+	0.967296i
$846$	9296.33	−	40729.9i	0.377795	−	1.65523i
$847$	−1179.54	−	5167.92i	−0.0478508	−	0.209648i
$848$	8013.48	−	3859.09i	0.324510	−	0.156276i
$849$	9395.86	−	11782.0i	0.379818	−	0.476276i
$850$	3560.77	−	4465.07i	0.143686	−	0.180177i
$851$	7557.29	+	3639.40i	0.304419	+	0.146600i
$852$	151.420	+	189.874i	0.00608868	+	0.00763497i
$853$	−14616.1			−0.586688			−0.293344	−	0.956007i	$-0.594768\pi$
$853$	−14616.1			−0.586688			−0.293344	+	0.956007i	$0.594768\pi$
$854$	2673.73	+	3352.75i	0.107135	+	0.134343i
$855$	1266.27	+	5547.91i	0.0506499	+	0.221912i
$856$	1119.29	+	4903.93i	0.0446922	+	0.195809i
$857$	−19153.5	−	24017.8i	−0.763445	−	0.957330i	0.236453	−	0.971643i	$-0.424015\pi$
$857$	−19153.5	−	24017.8i	−0.763445	−	0.957330i	−0.999898	+	0.0143133i	$0.995444\pi$
$858$	−763.562			−0.0303818
$859$	−18318.5	−	22970.6i	−0.727611	−	0.912395i	0.271131	−	0.962542i	$-0.412602\pi$
$859$	−18318.5	−	22970.6i	−0.727611	−	0.912395i	−0.998742	+	0.0501473i	$0.984031\pi$
$860$	2401.36	+	1156.43i	0.0952158	+	0.0458535i
$861$	−985.901	+	1236.28i	−0.0390237	+	0.0489342i
$862$	9824.14	−	12319.1i	0.388180	−	0.486763i
$863$	−6295.34	+	3031.67i	−0.248315	+	0.119582i	−0.553902	−	0.832582i	$-0.686862\pi$
$863$	−6295.34	+	3031.67i	−0.248315	+	0.119582i	0.305587	+	0.952164i	$0.401147\pi$
$864$	−952.447	−	4172.94i	−0.0375034	−	0.164313i
$865$	−2071.86	+	9077.43i	−0.0814399	+	0.356811i
$866$	−6475.03	−	3118.21i	−0.254077	−	0.122357i
$867$	−40882.6	+	19688.0i	−1.60144	+	0.771212i
$868$	1104.01	−	4836.97i	0.0431710	−	0.189145i
$869$	453.005			0.0176837
$870$	−7470.25	+	24615.1i	−0.291109	+	0.959231i
$871$	86529.2			3.36616
$872$	392.139	−	1718.07i	0.0152288	−	0.0667217i
$873$	8911.68	−	4291.64i	0.345492	−	0.166380i
$874$	−1913.19	−	921.345i	−0.0740443	−	0.0356579i
$875$	1335.83	−	5852.67i	0.0516108	−	0.226122i
$876$	2644.76	+	11587.4i	0.102007	+	0.446922i
$877$	3625.01	−	1745.71i	0.139576	−	0.0672160i	−0.362792	−	0.931870i	$-0.618177\pi$
$877$	3625.01	−	1745.71i	0.139576	−	0.0672160i	0.502368	+	0.864654i	$0.332462\pi$
$878$	−8734.86	+	10953.2i	−0.335749	+	0.421016i
$879$	15607.4	−	19571.0i	0.598890	−	0.750984i
$880$	73.5198	+	35.4053i	0.00281631	+	0.00135626i
$881$	−31363.6	−	39328.6i	−1.19939	−	1.50399i	−0.813620	−	0.581397i	$-0.802506\pi$
$881$	−31363.6	−	39328.6i	−1.19939	−	1.50399i	−0.385772	−	0.922594i	$-0.626065\pi$
$882$	−28125.9			−1.07375
$883$	1775.57	+	2226.49i	0.0676699	+	0.0848554i	0.814514	−	0.580143i	$-0.197003\pi$
$883$	1775.57	+	2226.49i	0.0676699	+	0.0848554i	−0.746844	+	0.664999i	$0.768432\pi$
$884$	−7971.62	−	34926.0i	−0.303297	−	1.32883i
$885$	−4935.34	−	21623.2i	−0.187457	−	0.821305i
$886$	−12404.0	−	15554.1i	−0.470338	−	0.589785i
$887$	2823.33			0.106875			0.0534376	−	0.998571i	$-0.482982\pi$
$887$	2823.33			0.106875			0.0534376	+	0.998571i	$0.482982\pi$
$888$	−4432.83	−	5558.60i	−0.167518	−	0.210061i
$889$	10270.3	+	4945.90i	0.387462	+	0.186592i
$890$	−8384.91	+	10514.3i	−0.315801	+	0.396002i
$891$	−13.4631	+	16.8822i	−0.000506207	+	0.000634764i
$892$	−17008.8	+	8191.02i	−0.638450	+	0.307461i
$893$	1453.92	+	6370.05i	0.0544834	+	0.238707i
$894$	7981.94	−	34971.2i	0.298608	−	1.30829i
$895$	−12066.5	−	5810.94i	−0.450659	−	0.217026i
$896$	459.381	−	221.226i	0.0171282	−	0.00824848i
$897$	12948.3	−	56730.0i	0.481973	−	2.11166i
$898$	30383.1			1.12906
$899$	42223.2	+	24122.0i	1.56643	+	0.894899i
$900$	−4829.48			−0.178870
$901$	−12576.5	+	55101.1i	−0.465020	+	2.03739i
$902$	−44.2955	+	21.3316i	−0.00163512	+	0.000787432i
$903$	2032.21	+	978.662i	0.0748924	+	0.0360663i
$904$	−866.297	+	3795.50i	−0.0318724	+	0.139642i
$905$	−5051.57	−	22132.4i	−0.185547	−	0.812934i
$906$	−7014.32	+	3377.92i	−0.257213	+	0.123867i
$907$	−6312.52	+	7915.64i	−0.231096	+	0.289785i	−0.883836	−	0.467797i	$-0.845048\pi$
$907$	−6312.52	+	7915.64i	−0.231096	+	0.289785i	0.652740	+	0.757582i	$0.273619\pi$
$908$	−4472.39	+	5608.20i	−0.163460	+	0.204972i
$909$	−61528.5	−	29630.6i	−2.24507	−	1.08117i
$910$	−4307.50	−	5401.43i	−0.156914	−	0.196765i
$911$	−49919.4			−1.81548			−0.907740	−	0.419533i	$-0.862194\pi$
$911$	−49919.4			−1.81548			−0.907740	+	0.419533i	$0.862194\pi$
$912$	1122.21	+	1407.21i	0.0407457	+	0.0510935i
$913$	102.889	+	450.787i	0.00372961	+	0.0163405i
$914$	−3959.76	−	17348.9i	−0.143301	−	0.627844i
$915$	27640.2	+	34659.7i	0.998640	+	1.25226i
$916$	25007.1			0.902029
$917$	−2426.89	−	3043.22i	−0.0873968	−	0.109592i
$918$	24505.1	+	11801.0i	0.881033	+	0.424283i
$919$	28006.1	−	35118.5i	1.00526	−	1.26056i	0.0400197	−	0.999199i	$-0.487258\pi$
$919$	28006.1	−	35118.5i	1.00526	−	1.26056i	0.965242	−	0.261359i	$-0.0841706\pi$
$920$	−3877.22	+	4861.88i	−0.138944	+	0.174230i
$921$	47429.0	−	22840.6i	1.69689	−	0.817181i
$922$	1212.77	+	5313.51i	0.0433195	+	0.189795i
$923$	142.256	−	623.264i	0.00507304	−	0.0222264i
$924$	62.2182	+	29.9627i	0.00221518	+	0.00106677i
$925$	−2688.11	+	1294.53i	−0.0955508	+	0.0460149i
$926$	−2567.01	+	11246.8i	−0.0910986	+	0.399129i
$927$	−22518.0			−0.797830
$928$	767.311	+	4938.17i	0.0271425	+	0.174681i
$929$	17173.5			0.606506			0.303253	−	0.952910i	$-0.401927\pi$
$929$	17173.5			0.606506			0.303253	+	0.952910i	$0.401927\pi$
$930$	11412.9	−	50003.2i	0.402412	−	1.76308i
$931$	3963.19	−	1908.57i	0.139515	−	0.0671869i
$932$	−17433.0	−	8395.28i	−0.612700	−	0.295061i
$933$	−3786.89	+	16591.5i	−0.132880	+	0.582187i
$934$	4895.15	+	21447.0i	0.171493	+	0.751359i
$935$	−467.176	+	224.980i	−0.0163404	+	0.00786914i
$936$	−18888.2	+	23685.1i	−0.659595	+	0.827105i
$937$	−34175.9	+	42855.2i	−1.19155	+	1.49415i	−0.365254	+	0.930908i	$0.619018\pi$
$937$	−34175.9	+	42855.2i	−1.19155	+	1.49415i	−0.826291	+	0.563243i	$0.809554\pi$
$938$	−7050.76	−	3395.46i	−0.245432	−	0.118194i
$939$	26855.9	+	33676.2i	0.933342	+	1.17037i
$940$	19134.3			0.663927
$941$	8296.92	+	10404.0i	0.287430	+	0.360426i	0.904494	−	0.426487i	$-0.140249\pi$
$941$	8296.92	+	10404.0i	0.287430	+	0.360426i	−0.617063	+	0.786914i	$0.711678\pi$
$942$	2645.29	+	11589.8i	0.0914951	+	0.400866i
$943$	−833.713	−	3652.73i	−0.0287905	−	0.126139i
$944$	−2686.52	−	3368.78i	−0.0926257	−	0.116149i
$945$	5245.25			0.180559
$946$	43.7254	+	54.8300i	0.00150279	+	0.00188444i
$947$	9290.52	+	4474.08i	0.318798	+	0.153525i	0.586438	−	0.809994i	$-0.300530\pi$
$947$	9290.52	+	4474.08i	0.318798	+	0.153525i	−0.267641	+	0.963519i	$0.586244\pi$
$948$	18244.2	−	22877.5i	0.625046	−	0.783783i
$949$	19507.0	−	24461.0i	0.667254	−	0.836711i
$950$	680.519	−	327.721i	0.0232410	−	0.0111923i
$951$	−38.2421	−	167.550i	−0.00130398	−	0.00571311i
$952$	−720.958	+	3158.72i	−0.0245445	+	0.107537i
$953$	20387.9	+	9818.31i	0.693001	+	0.333732i	0.747014	−	0.664809i	$-0.231487\pi$
$953$	20387.9	+	9818.31i	0.693001	+	0.333732i	−0.0540130	+	0.998540i	$0.517201\pi$
$954$	43060.9	−	20737.0i	1.46137	−	0.703760i
$955$	−5792.32	+	25377.8i	−0.196267	+	0.859903i
$956$	−9084.91			−0.307350
$957$	−458.111	+	498.255i	−0.0154740	+	0.0168300i
$958$	−19603.9			−0.661140
$959$	2441.44	−	10696.7i	0.0822088	−	0.360180i
$960$	4748.94	−	2286.97i	0.159658	−	0.0768870i
$961$	−60514.0	−	29142.0i	−2.03128	−	0.978214i
$962$	−4164.56	+	18246.1i	−0.139575	+	0.611516i
$963$	6014.57	+	26351.5i	0.201263	+	0.881793i
$964$	1723.77	−	830.124i	0.0575922	−	0.0277349i
$965$	11863.1	−	14875.8i	0.395736	−	0.496238i
$966$	−3281.20	+	4114.50i	−0.109287	+	0.137041i
$967$	21800.3	+	10498.5i	0.724975	+	0.349130i	0.759706	−	0.650267i	$-0.225343\pi$
$967$	21800.3	+	10498.5i	0.724975	+	0.349130i	−0.0347304	+	0.999397i	$0.511057\pi$
$968$	−6637.58	−	8323.26i	−0.220392	−	0.276363i
$969$	−11437.2			−0.379171
$970$	2824.56	+	3541.89i	0.0934960	+	0.117240i
$971$	−2396.34	−	10499.0i	−0.0791988	−	0.346993i	0.919767	−	0.392465i	$-0.128378\pi$
$971$	−2396.34	−	10499.0i	−0.0791988	−	0.346993i	−0.998966	+	0.0454727i	$0.985521\pi$
$972$	3524.88	+	15443.5i	0.116317	+	0.509620i
$973$	−4178.16	−	5239.24i	−0.137662	−	0.172623i
$974$	−27280.7			−0.897464
$975$	12904.8	+	16182.1i	0.423881	+	0.531530i
$976$	7759.51	+	3736.78i	0.254484	+	0.122553i
$977$	14926.8	−	18717.6i	0.488792	−	0.612926i	−0.474868	−	0.880057i	$-0.657504\pi$
$977$	14926.8	−	18717.6i	0.488792	−	0.612926i	0.963660	+	0.267131i	$0.0860757\pi$
$978$	−24388.1	+	30581.8i	−0.797390	+	0.999895i
$979$	−318.813	+	153.532i	−0.0104079	+	0.00501217i
$980$	−2866.47	−	12558.8i	−0.0934349	−	0.409365i
$981$	2107.18	−	9232.17i	0.0685802	−	0.300470i
$982$	−33946.3	−	16347.7i	−1.10313	−	0.531237i
$983$	20531.4	−	9887.40i	0.666175	−	0.320813i	−0.0700563	−	0.997543i	$-0.522318\pi$
$983$	20531.4	−	9887.40i	0.666175	−	0.320813i	0.736231	+	0.676730i	$0.236604\pi$
$984$	−706.663	+	3096.09i	−0.0228939	+	0.100305i
$985$	−12229.6			−0.395602
$986$	−27573.3	−	15752.6i	−0.890582	−	0.508787i
$987$	16192.9			0.522215
$988$	1054.29	−	4619.17i	0.0339490	−	0.148740i
$989$	−4815.16	+	2318.86i	−0.154816	+	0.0745555i
$990$	395.063	+	190.252i	0.0126828	+	0.00610769i
$991$	8595.88	−	37661.0i	0.275537	−	1.20721i	−0.627835	−	0.778347i	$-0.716059\pi$
$991$	8595.88	−	37661.0i	0.275537	−	1.20721i	0.903371	−	0.428859i	$-0.141084\pi$
$992$	−2217.22	−	9714.28i	−0.0709646	−	0.310916i
$993$	−59064.9	+	28444.2i	−1.88758	+	0.909011i
$994$	−36.0489	+	45.2039i	−0.00115030	+	0.00144244i
$995$	−12897.7	+	16173.2i	−0.410940	+	0.515302i
$996$	26909.2	+	12958.8i	0.856075	+	0.412264i
$997$	12673.0	+	15891.4i	0.402564	+	0.504800i	0.941252	−	0.337706i	$-0.109651\pi$
$997$	12673.0	+	15891.4i	0.402564	+	0.504800i	−0.538687	+	0.842506i	$0.681080\pi$
$998$	16856.5			0.534651
$999$	−8859.27	−	11109.2i	−0.280575	−	0.351831i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	58.4.d.b.25.1	yes	24
29.6	even	14		1682.4.a.q.1.2		12
29.7	even	7	inner	58.4.d.b.7.1	✓	24
29.23	even	7		1682.4.a.t.1.11		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
58.4.d.b.7.1	✓	24	29.7	even	7	inner
58.4.d.b.25.1	yes	24	1.1	even	1	trivial
1682.4.a.q.1.2		12	29.6	even	14
1682.4.a.t.1.11		12	29.23	even	7

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 58 = 2 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	58.d (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.445042 + 1.94986i) q^{2} +(-7.53743 + 3.62983i) q^{3} +(-3.60388 - 1.73553i) q^{4} +(2.19061 - 9.59767i) q^{5} +(-3.72318 - 16.3123i) q^{6} +(3.58891 - 1.72833i) q^{7} +(4.98792 - 6.25465i) q^{8} +(26.8029 - 33.6097i) q^{9} +(17.7392 + 8.54273i) q^{10} +(0.323006 + 0.405037i) q^{11} +33.4636 q^{12} +(-54.9223 - 68.8704i) q^{13} +(1.77278 + 7.76704i) q^{14} +(18.3264 + 80.2933i) q^{15} +(9.97584 + 12.5093i) q^{16} -101.671 q^{17} +(53.6057 + 67.2195i) q^{18} +(-12.1149 - 5.83425i) q^{19} +(-24.5518 + 30.7869i) q^{20} +(-20.7776 + 26.0543i) q^{21} +(-0.933515 + 0.449557i) q^{22} +(-17.5703 - 76.9804i) q^{23} +(-14.8927 + 65.2493i) q^{24} +(25.3045 + 12.1860i) q^{25} +(158.730 - 76.4404i) q^{26} +(-29.7640 + 130.404i) q^{27} -15.9336 q^{28} +(45.3522 - 149.440i) q^{29} -164.716 q^{30} +(-69.2882 + 303.571i) q^{31} +(-28.8310 + 13.8843i) q^{32} +(-3.90485 - 1.88048i) q^{33} +(45.2478 - 198.243i) q^{34} +(-8.72604 - 38.2313i) q^{35} +(-154.925 + 74.6080i) q^{36} +(-66.2336 + 83.0542i) q^{37} +(16.7676 - 21.0259i) q^{38} +(663.961 + 319.747i) q^{39} +(-49.1035 - 61.5739i) q^{40} +47.4502 q^{41} +(-41.5552 - 52.1086i) q^{42} +(-15.0614 - 65.9881i) q^{43} +(-0.461118 - 2.02029i) q^{44} +(-263.861 - 330.871i) q^{45} +157.920 q^{46} +(-302.962 - 379.902i) q^{47} +(-120.599 - 58.0773i) q^{48} +(-203.964 + 255.763i) q^{49} +(-35.0226 + 43.9169i) q^{50} +(766.336 - 369.048i) q^{51} +(78.4062 + 343.520i) q^{52} +(123.698 - 541.956i) q^{53} +(-241.024 - 116.071i) q^{54} +(4.59499 - 2.21283i) q^{55} +(7.09110 - 31.0681i) q^{56} +112.493 q^{57} +(271.202 + 154.937i) q^{58} -269.302 q^{59} +(73.3057 - 321.173i) q^{60} +(484.970 - 233.549i) q^{61} +(-561.084 - 270.204i) q^{62} +(38.1044 - 166.946i) q^{63} +(-14.2413 - 62.3954i) q^{64} +(-781.309 + 376.259i) q^{65} +(5.40448 - 6.77700i) q^{66} +(-612.452 + 767.991i) q^{67} +(366.409 + 176.453i) q^{68} +(411.860 + 516.457i) q^{69} +78.4289 q^{70} +(4.52491 + 5.67405i) q^{71} +(-76.5267 - 335.285i) q^{72} +(79.0338 + 346.270i) q^{73} +(-132.467 - 166.108i) q^{74} -234.964 q^{75} +(33.5352 + 42.0518i) q^{76} +(1.85928 + 0.895380i) q^{77} +(-918.951 + 1152.33i) q^{78} +(545.194 - 683.652i) q^{79} +(141.913 - 68.3419i) q^{80} +(9.27481 + 40.6356i) q^{81} +(-21.1173 + 92.5210i) q^{82} +(804.132 + 387.250i) q^{83} +(120.098 - 57.8362i) q^{84} +(-222.721 + 975.803i) q^{85} +135.370 q^{86} +(200.602 + 1291.01i) q^{87} +4.14449 q^{88} +(-151.990 + 665.914i) q^{89} +(762.579 - 367.239i) q^{90} +(-316.142 - 152.246i) q^{91} +(-70.2811 + 307.921i) q^{92} +(-579.659 - 2539.65i) q^{93} +(875.585 - 421.660i) q^{94} +(-82.5343 + 103.495i) q^{95} +(166.914 - 209.303i) q^{96} +(207.304 + 99.8323i) q^{97} +(-407.928 - 511.525i) q^{98} +22.2707 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 8 q^{2} + 5 q^{3} - 16 q^{4} + 16 q^{5} - 4 q^{6} + 71 q^{7} - 32 q^{8} - 27 q^{9} - 10 q^{10} + 110 q^{11} - 64 q^{12} - 107 q^{13} - 54 q^{14} + 417 q^{15} - 64 q^{16} - 128 q^{17} - 54 q^{18}+ \cdots + 10560 q^{99}+O(q^{100}) \) 24 * q - 8 * q^2 + 5 * q^3 - 16 * q^4 + 16 * q^5 - 4 * q^6 + 71 * q^7 - 32 * q^8 - 27 * q^9 - 10 * q^10 + 110 * q^11 - 64 * q^12 - 107 * q^13 - 54 * q^14 + 417 * q^15 - 64 * q^16 - 128 * q^17 - 54 * q^18 - 142 * q^19 + 36 * q^20 + 655 * q^21 + 24 * q^22 - 239 * q^23 - 16 * q^24 - 550 * q^25 + 192 * q^26 - 61 * q^27 - 24 * q^28 - 450 * q^29 - 2092 * q^30 + 420 * q^31 - 128 * q^32 + 165 * q^33 + 934 * q^34 - 532 * q^35 + 88 * q^36 + 85 * q^37 + 626 * q^38 + 1374 * q^39 + 72 * q^40 - 822 * q^41 + 1310 * q^42 + 245 * q^43 - 260 * q^44 + 916 * q^45 + 712 * q^46 + 235 * q^47 + 80 * q^48 - 1507 * q^49 + 510 * q^50 + 333 * q^51 + 104 * q^52 - 121 * q^53 - 836 * q^54 - 584 * q^55 - 216 * q^56 - 1458 * q^57 + 2432 * q^58 - 5226 * q^59 + 1668 * q^60 - 567 * q^61 - 252 * q^62 + 1096 * q^63 - 256 * q^64 + 584 * q^65 + 8 * q^66 - 131 * q^67 + 412 * q^68 - 1412 * q^69 + 1036 * q^70 + 3141 * q^71 - 1112 * q^72 + 3326 * q^73 + 170 * q^74 + 7850 * q^75 + 1252 * q^76 + 2834 * q^77 - 4126 * q^78 + 1728 * q^79 - 80 * q^80 - 10976 * q^81 + 1184 * q^82 - 1287 * q^83 - 2756 * q^84 - 7728 * q^85 - 3724 * q^86 + 4541 * q^87 - 912 * q^88 + 715 * q^89 - 2004 * q^90 - 6757 * q^91 - 956 * q^92 + 4094 * q^93 - 496 * q^94 - 4759 * q^95 + 160 * q^96 + 1779 * q^97 - 3014 * q^98 + 10560 * q^99

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