LMFDB - Embedded newform 58.4.d.b.45.2

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)

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);

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")

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			45.2
Character	$\chi$	$=$	58.45
Dual form			58.4.d.b.49.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.80194 - 0.867767i) q^{2} +(-0.791302 + 0.992261i) q^{3} +(2.49396 + 3.12733i) q^{4} +(-2.81750 - 1.35683i) q^{5} +(2.28693 - 1.10133i) q^{6} +(-12.3264 + 15.4568i) q^{7} +(-1.78017 - 7.79942i) q^{8} +(5.64964 + 24.7527i) q^{9} +(3.89953 + 4.88986i) q^{10} +(-4.23352 + 18.5483i) q^{11} -5.07660 q^{12} +(-14.6977 + 64.3946i) q^{13} +(35.6242 - 17.1557i) q^{14} +(3.57582 - 1.72203i) q^{15} +(-3.56033 + 15.5988i) q^{16} +37.9406 q^{17} +(11.2993 - 49.5054i) q^{18} +(-52.2976 - 65.5791i) q^{19} +(-2.78346 - 12.1951i) q^{20} +(-5.58327 - 24.4619i) q^{21} +(23.7241 - 29.7491i) q^{22} +(-30.8032 + 14.8340i) q^{23} +(9.14771 + 4.40531i) q^{24} +(-71.8389 - 90.0832i) q^{25} +(82.3638 - 103.281i) q^{26} +(-59.9052 - 28.8488i) q^{27} -79.0797 q^{28} +(117.217 - 103.195i) q^{29} -7.93773 q^{30} +(105.845 + 50.9721i) q^{31} +(19.9517 - 25.0186i) q^{32} +(-15.0547 - 18.8781i) q^{33} +(-68.3665 - 32.9236i) q^{34} +(55.7017 - 26.8245i) q^{35} +(-63.3198 + 79.4005i) q^{36} +(33.3943 + 146.310i) q^{37} +(37.3296 + 163.552i) q^{38} +(-52.2660 - 65.5395i) q^{39} +(-5.56691 + 24.3902i) q^{40} +272.520 q^{41} +(-11.1665 + 48.9238i) q^{42} +(-357.200 + 172.019i) q^{43} +(-68.5648 + 33.0191i) q^{44} +(17.6675 - 77.4062i) q^{45} +68.3780 q^{46} +(-24.6740 + 108.104i) q^{47} +(-12.6608 - 15.8762i) q^{48} +(-10.6477 - 46.6506i) q^{49} +(51.2780 + 224.664i) q^{50} +(-30.0224 + 37.6469i) q^{51} +(-238.038 + 114.633i) q^{52} +(440.675 + 212.218i) q^{53} +(82.9114 + 103.968i) q^{54} +(37.0949 - 46.5155i) q^{55} +(142.497 + 68.6228i) q^{56} +106.455 q^{57} +(-300.767 + 84.2347i) q^{58} -301.995 q^{59} +(14.3033 + 6.88810i) q^{60} +(-14.8195 + 18.5831i) q^{61} +(-146.494 - 183.697i) q^{62} +(-452.236 - 217.785i) q^{63} +(-57.6620 + 27.7686i) q^{64} +(128.783 - 161.489i) q^{65} +(10.7460 + 47.0811i) q^{66} +(-1.73848 - 7.61678i) q^{67} +(94.6222 + 118.653i) q^{68} +(9.65539 - 42.3030i) q^{69} -123.648 q^{70} +(169.395 - 742.168i) q^{71} +(182.999 - 88.1279i) q^{72} +(640.633 - 308.513i) q^{73} +(66.7886 - 292.620i) q^{74} +146.232 q^{75} +(74.6592 - 327.103i) q^{76} +(-234.512 - 294.069i) q^{77} +(37.3070 + 163.453i) q^{78} +(205.828 + 901.790i) q^{79} +(31.1963 - 39.1189i) q^{80} +(-541.594 + 260.818i) q^{81} +(-491.064 - 236.484i) q^{82} +(3.83124 + 4.80422i) q^{83} +(62.5759 - 78.4677i) q^{84} +(-106.897 - 51.4791i) q^{85} +792.924 q^{86} +(9.64297 + 197.968i) q^{87} +152.202 q^{88} +(681.205 + 328.051i) q^{89} +(-99.0063 + 124.150i) q^{90} +(-814.164 - 1020.93i) q^{91} +(-123.213 - 59.3362i) q^{92} +(-134.333 + 64.6912i) q^{93} +(138.270 - 173.385i) q^{94} +(58.3682 + 255.728i) q^{95} +(9.03720 + 39.5945i) q^{96} +(-189.743 - 237.930i) q^{97} +(-21.2954 + 93.3012i) q^{98} -483.038 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 $\left(\mathbb{Z}/58\mathbb{Z}\right)^\times$.

$n$	$31$
$\chi(n)$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−1.80194	−	0.867767i	−0.637081	−	0.306802i
$2$	−1.80194	−	0.867767i	−0.637081	−	0.306802i
$3$	−0.791302	+	0.992261i	−0.152286	+	0.190961i	−0.852122	−	0.523343i	$-0.824685\pi$
$3$	−0.791302	+	0.992261i	−0.152286	+	0.190961i	0.699836	+	0.714303i	$0.253256\pi$
$4$	2.49396	+	3.12733i	0.311745	+	0.390916i
$5$	−2.81750	−	1.35683i	−0.252004	−	0.121359i	0.303617	−	0.952794i	$-0.401806\pi$
$5$	−2.81750	−	1.35683i	−0.252004	−	0.121359i	−0.555622	+	0.831435i	$0.687520\pi$
$6$	2.28693	−	1.10133i	0.155606	−	0.0749358i
$7$	−12.3264	+	15.4568i	−0.665560	+	0.834586i	−0.993936	−	0.109961i	$-0.964927\pi$
$7$	−12.3264	+	15.4568i	−0.665560	+	0.834586i	0.328375	+	0.944547i	$0.393499\pi$
$8$	−1.78017	−	7.79942i	−0.0786730	−	0.344689i
$9$	5.64964	+	24.7527i	0.209246	+	0.916767i
$10$	3.89953	+	4.88986i	0.123314	+	0.154631i
$11$	−4.23352	+	18.5483i	−0.116041	+	0.508411i	0.883183	+	0.469029i	$0.155396\pi$
$11$	−4.23352	+	18.5483i	−0.116041	+	0.508411i	−0.999224	+	0.0393818i	$0.987461\pi$
$12$	−5.07660			−0.122124
$13$	−14.6977	+	64.3946i	−0.313569	+	1.37384i	0.535046	+	0.844823i	$0.320294\pi$
$13$	−14.6977	+	64.3946i	−0.313569	+	1.37384i	−0.848614	+	0.529012i	$0.822563\pi$
$14$	35.6242	−	17.1557i	0.680069	−	0.327504i
$15$	3.57582	−	1.72203i	0.0615516	−	0.0296417i
$16$	−3.56033	+	15.5988i	−0.0556302	+	0.243732i
$17$	37.9406			0.541290			0.270645	−	0.962679i	$-0.412763\pi$
$17$	37.9406			0.541290			0.270645	+	0.962679i	$0.412763\pi$
$18$	11.2993	−	49.5054i	0.147959	−	0.648252i
$19$	−52.2976	−	65.5791i	−0.631468	−	0.791836i	0.358439	−	0.933553i	$-0.383309\pi$
$19$	−52.2976	−	65.5791i	−0.631468	−	0.791836i	−0.989907	+	0.141717i	$0.954738\pi$
$20$	−2.78346	−	12.1951i	−0.0311200	−	0.136346i
$21$	−5.58327	−	24.4619i	−0.0580176	−	0.254192i
$22$	23.7241	−	29.7491i	0.229909	−	0.288297i
$23$	−30.8032	+	14.8340i	−0.279257	+	0.134483i	−0.568270	−	0.822842i	$-0.692387\pi$
$23$	−30.8032	+	14.8340i	−0.279257	+	0.134483i	0.289013	+	0.957325i	$0.406673\pi$
$24$	9.14771	+	4.40531i	0.0778029	+	0.0374679i
$25$	−71.8389	−	90.0832i	−0.574712	−	0.720665i
$26$	82.3638	−	103.281i	0.621264	−	0.779041i
$27$	−59.9052	−	28.8488i	−0.426991	−	0.205628i
$28$	−79.0797			−0.533738
$29$	117.217	−	103.195i	0.750572	−	0.660789i
$29$	117.217	−	103.195i	0.750572	−	0.660789i
$30$	−7.93773			−0.0483075
$31$	105.845	+	50.9721i	0.613234	+	0.295318i	0.714602	−	0.699531i	$-0.246608\pi$
$31$	105.845	+	50.9721i	0.613234	+	0.295318i	−0.101368	+	0.994849i	$0.532322\pi$
$32$	19.9517	−	25.0186i	0.110218	−	0.138210i
$33$	−15.0547	−	18.8781i	−0.0794150	−	0.0995832i
$34$	−68.3665	−	32.9236i	−0.344846	−	0.166069i
$35$	55.7017	−	26.8245i	0.269009	−	0.129548i
$36$	−63.3198	+	79.4005i	−0.293147	+	0.367595i
$37$	33.3943	+	146.310i	0.148378	+	0.650087i	0.993336	+	0.115254i	$0.0367683\pi$
$37$	33.3943	+	146.310i	0.148378	+	0.650087i	−0.844958	+	0.534833i	$0.820375\pi$
$38$	37.3296	+	163.552i	0.159359	+	0.698199i
$39$	−52.2660	−	65.5395i	−0.214596	−	0.269095i
$40$	−5.56691	+	24.3902i	−0.0220051	+	0.0964109i
$41$	272.520			1.03806			0.519030	−	0.854756i	$-0.326293\pi$
$41$	272.520			1.03806			0.519030	+	0.854756i	$0.326293\pi$
$42$	−11.1665	+	48.9238i	−0.0410247	+	0.179741i
$43$	−357.200	+	172.019i	−1.26680	+	0.610060i	−0.941965	−	0.335710i	$-0.891024\pi$
$43$	−357.200	+	172.019i	−1.26680	+	0.610060i	−0.324837	+	0.945770i	$0.605309\pi$
$44$	−68.5648	+	33.0191i	−0.234921	+	0.113132i
$45$	17.6675	−	77.4062i	0.0585269	−	0.256423i
$46$	68.3780			0.219169
$47$	−24.6740	+	108.104i	−0.0765760	+	0.335502i	−0.998676	−	0.0514514i	$-0.983615\pi$
$47$	−24.6740	+	108.104i	−0.0765760	+	0.335502i	0.922099	+	0.386953i	$0.126472\pi$
$48$	−12.6608	−	15.8762i	−0.0380715	−	0.0477402i
$49$	−10.6477	−	46.6506i	−0.0310428	−	0.136008i
$50$	51.2780	+	224.664i	0.145036	+	0.635445i
$51$	−30.0224	+	37.6469i	−0.0824310	+	0.103365i
$52$	−238.038	+	114.633i	−0.634807	+	0.305707i
$53$	440.675	+	212.218i	1.14210	+	0.550007i	0.906652	−	0.421879i	$-0.138629\pi$
$53$	440.675	+	212.218i	1.14210	+	0.550007i	0.235450	+	0.971887i	$0.424344\pi$
$54$	82.9114	+	103.968i	0.208941	+	0.262004i
$55$	37.0949	−	46.5155i	0.0909432	−	0.114039i
$56$	142.497	+	68.6228i	0.340034	+	0.163752i
$57$	106.455			0.247373
$58$	−300.767	+	84.2347i	−0.680907	+	0.190699i
$59$	−301.995			−0.666380			−0.333190	−	0.942860i	$-0.608125\pi$
$59$	−301.995			−0.666380			−0.333190	+	0.942860i	$0.608125\pi$
$60$	14.3033	+	6.88810i	0.0307758	+	0.0148208i
$61$	−14.8195	+	18.5831i	−0.0311057	+	0.0390053i	−0.797141	−	0.603793i	$-0.793655\pi$
$61$	−14.8195	+	18.5831i	−0.0311057	+	0.0390053i	0.766035	+	0.642798i	$0.222227\pi$
$62$	−146.494	−	183.697i	−0.300076	−	0.376283i
$63$	−452.236	−	217.785i	−0.904387	−	0.435530i
$64$	−57.6620	+	27.7686i	−0.112621	+	0.0542355i
$65$	128.783	−	161.489i	0.245748	−	0.308158i
$66$	10.7460	+	47.0811i	0.0200414	+	0.0878073i
$67$	−1.73848	−	7.61678i	−0.00316999	−	0.0138886i	0.973318	−	0.229460i	$-0.0736959\pi$
$67$	−1.73848	−	7.61678i	−0.00316999	−	0.0138886i	−0.976488	+	0.215571i	$0.930839\pi$
$68$	94.6222	+	118.653i	0.168745	+	0.211599i
$69$	9.65539	−	42.3030i	0.0168460	−	0.0738071i
$70$	−123.648			−0.211126
$71$	169.395	−	742.168i	0.283148	−	1.24055i	−0.610585	−	0.791951i	$-0.709066\pi$
$71$	169.395	−	742.168i	0.283148	−	1.24055i	0.893733	−	0.448600i	$-0.148077\pi$
$72$	182.999	−	88.1279i	0.299537	−	0.144250i
$73$	640.633	−	308.513i	1.02713	−	0.494640i	0.157071	−	0.987587i	$-0.449795\pi$
$73$	640.633	−	308.513i	1.02713	−	0.494640i	0.870059	+	0.492948i	$0.164081\pi$
$74$	66.7886	−	292.620i	0.104919	−	0.459681i
$75$	146.232			0.225139
$76$	74.6592	−	327.103i	0.112684	−	0.493701i
$77$	−234.512	−	294.069i	−0.347080	−	0.435225i
$78$	37.3070	+	163.453i	0.0541563	+	0.237274i
$79$	205.828	+	901.790i	0.293132	+	1.28429i	0.880140	+	0.474714i	$0.157448\pi$
$79$	205.828	+	901.790i	0.293132	+	1.28429i	−0.587008	+	0.809581i	$0.699694\pi$
$80$	31.1963	−	39.1189i	0.0435981	−	0.0546703i
$81$	−541.594	+	260.818i	−0.742928	+	0.357775i
$82$	−491.064	−	236.484i	−0.661329	−	0.318479i
$83$	3.83124	+	4.80422i	0.00506666	+	0.00635339i	0.784358	−	0.620308i	$-0.212992\pi$
$83$	3.83124	+	4.80422i	0.00506666	+	0.00635339i	−0.779292	+	0.626661i	$0.784421\pi$
$84$	62.5759	−	78.4677i	0.0812809	−	0.101923i
$85$	−106.897	−	51.4791i	−0.136408	−	0.0656904i
$86$	792.924			0.994224
$87$	9.64297	+	197.968i	0.0118832	+	0.243959i
$88$	152.202			0.184373
$89$	681.205	+	328.051i	0.811321	+	0.390712i	0.793077	−	0.609122i	$-0.208478\pi$
$89$	681.205	+	328.051i	0.811321	+	0.390712i	0.0182443	+	0.999834i	$0.494192\pi$
$90$	−99.0063	+	124.150i	−0.115958	+	0.145406i
$91$	−814.164	−	1020.93i	−0.937885	−	1.17607i
$92$	−123.213	−	59.3362i	−0.139629	−	0.0672416i
$93$	−134.333	+	64.6912i	−0.149781	+	0.0721308i
$94$	138.270	−	173.385i	0.151718	−	0.190248i
$95$	58.3682	+	255.728i	0.0630364	+	0.276180i
$96$	9.03720	+	39.5945i	0.00960786	+	0.0420948i
$97$	−189.743	−	237.930i	−0.198613	−	0.249053i	0.672544	−	0.740057i	$-0.265201\pi$
$97$	−189.743	−	237.930i	−0.198613	−	0.249053i	−0.871157	+	0.491004i	$0.836630\pi$
$98$	−21.2954	+	93.3012i	−0.0219506	+	0.0961719i
$99$	−483.038			−0.490375
$100$	102.556	−	449.328i	0.102556	−	0.449328i
$101$	1157.20	−	557.279i	1.14006	−	0.549023i	0.234025	−	0.972230i	$-0.424810\pi$
$101$	1157.20	−	557.279i	1.14006	−	0.549023i	0.906033	+	0.423207i	$0.139096\pi$
$102$	86.7674	−	41.7850i	0.0842279	−	0.0405620i
$103$	−334.056	+	1463.60i	−0.319568	+	1.40012i	0.518744	+	0.854930i	$0.326400\pi$
$103$	−334.056	+	1463.60i	−0.319568	+	1.40012i	−0.838312	+	0.545191i	$0.816457\pi$
$104$	528.405			0.498215
$105$	−17.4599	+	76.4969i	−0.0162278	+	0.0710984i
$106$	−609.913	−	764.807i	−0.558868	−	0.700799i
$107$	−39.7491	−	174.152i	−0.0359130	−	0.157345i	0.953792	−	0.300468i	$-0.0971428\pi$
$107$	−39.7491	−	174.152i	−0.0359130	−	0.157345i	−0.989705	+	0.143123i	$0.954286\pi$
$108$	−59.1815	−	259.291i	−0.0527291	−	0.231021i
$109$	344.726	−	432.273i	0.302924	−	0.379855i	−0.606949	−	0.794741i	$-0.707607\pi$
$109$	344.726	−	432.273i	0.302924	−	0.379855i	0.909874	+	0.414885i	$0.136178\pi$
$110$	−107.207	+	51.6283i	−0.0929256	+	0.0447506i
$111$	−171.603	−	82.6396i	−0.146737	−	0.0706649i
$112$	−197.222	−	247.308i	−0.166390	−	0.208647i
$113$	−1290.61	+	1618.38i	−1.07443	+	1.34729i	−0.140403	+	0.990094i	$0.544840\pi$
$113$	−1290.61	+	1618.38i	−1.07443	+	1.34729i	−0.934028	+	0.357199i	$0.883732\pi$
$114$	−191.825	−	92.3780i	−0.157597	−	0.0758947i
$115$	106.915			0.0866948
$116$	615.059	+	109.210i	0.492300	+	0.0874126i
$117$	−1676.98			−1.32510
$118$	544.176	+	262.061i	0.424538	+	0.204447i
$119$	−467.669	+	586.438i	−0.360262	+	0.451754i
$120$	−19.7964	−	24.8239i	−0.0150596	−	0.0188842i
$121$	873.073	+	420.450i	0.655953	+	0.315890i
$122$	42.8297	−	20.6257i	0.0317838	−	0.0153062i
$123$	−215.646	+	270.411i	−0.158082	+	0.198229i
$124$	104.566	+	458.133i	0.0757282	+	0.331787i
$125$	167.161	+	732.380i	0.119611	+	0.524048i
$126$	625.914	+	784.871i	0.442546	+	0.554936i
$127$	−177.110	+	775.969i	−0.123748	+	0.542174i	0.874607	+	0.484833i	$0.161120\pi$
$127$	−177.110	+	775.969i	−0.123748	+	0.542174i	−0.998355	+	0.0573415i	$0.981738\pi$
$128$	128.000			0.0883883
$129$	111.966	−	490.554i	0.0764189	−	0.334813i
$130$	−372.195	+	179.240i	−0.251105	+	0.120926i
$131$	1686.48	−	812.164i	1.12479	−	0.541673i	0.223424	−	0.974721i	$-0.428276\pi$
$131$	1686.48	−	812.164i	1.12479	−	0.541673i	0.901371	+	0.433049i	$0.142562\pi$
$132$	21.4919	−	94.1622i	0.0141714	−	0.0620891i
$133$	1658.28			1.08114
$134$	−3.47696	+	15.2336i	−0.00224152	+	0.00982075i
$135$	129.640	+	162.563i	0.0826489	+	0.103638i
$136$	−67.5406	−	295.915i	−0.0425850	−	0.186577i
$137$	212.157	+	929.522i	0.132305	+	0.579667i	0.997002	+	0.0773733i	$0.0246533\pi$
$137$	212.157	+	929.522i	0.132305	+	0.579667i	−0.864697	+	0.502294i	$0.832490\pi$
$138$	−54.1076	+	67.8488i	−0.0333764	+	0.0418527i
$139$	−1448.23	+	697.433i	−0.883724	+	0.425579i	−0.819983	−	0.572388i	$-0.806017\pi$
$139$	−1448.23	+	697.433i	−0.883724	+	0.425579i	−0.0637406	+	0.997966i	$0.520303\pi$
$140$	222.807	+	107.298i	0.134504	+	0.0647739i
$141$	−87.7427	−	110.026i	−0.0524062	−	0.0657153i
$142$	−949.268	+	1190.34i	−0.560992	+	0.703461i
$143$	−1132.19	−	545.232i	−0.662086	−	0.318844i
$144$	−406.228			−0.235086
$145$	−470.276	+	131.709i	−0.269340	+	0.0754332i
$146$	−1422.10			−0.806121
$147$	54.7151	+	26.3494i	0.0306995	+	0.0147841i
$148$	−374.275	+	469.326i	−0.207873	+	0.260665i
$149$	−1614.81	−	2024.91i	−0.887855	−	1.11334i	−0.992910	−	0.118869i	$-0.962073\pi$
$149$	−1614.81	−	2024.91i	−0.887855	−	1.11334i	0.105055	−	0.994466i	$-0.466498\pi$
$150$	−263.502	−	126.896i	−0.143432	−	0.0690732i
$151$	3071.71	−	1479.26i	1.65545	−	0.797221i	0.656361	−	0.754447i	$-0.272095\pi$
$151$	3071.71	−	1479.26i	1.65545	−	0.797221i	0.999085	−	0.0427738i	$-0.0136195\pi$
$152$	−418.381	+	524.633i	−0.223258	+	0.279956i
$153$	214.351	+	939.131i	0.113263	+	0.496237i
$154$	167.393	+	733.397i	0.0875903	+	0.383758i
$155$	−229.056	−	287.227i	−0.118698	−	0.148843i
$156$	74.6141	−	326.906i	0.0382943	−	0.167778i
$157$	2889.72			1.46895			0.734473	−	0.678638i	$-0.237429\pi$
$157$	2889.72			1.46895			0.734473	+	0.678638i	$0.237429\pi$
$158$	411.655	−	1803.58i	0.207276	−	0.908133i
$159$	−559.283	+	269.336i	−0.278956	+	0.134338i
$160$	−90.1599	+	43.4187i	−0.0445485	+	0.0214534i
$161$	150.405	−	658.967i	0.0736247	−	0.322571i
$162$	1202.25			0.583072
$163$	661.209	−	2896.94i	0.317729	−	1.39206i	−0.523796	−	0.851844i	$-0.675484\pi$
$163$	661.209	−	2896.94i	0.317729	−	1.39206i	0.841525	−	0.540218i	$-0.181658\pi$
$164$	679.654	+	852.259i	0.323610	+	0.405794i
$165$	16.8023	+	73.6156i	0.00792761	+	0.0347331i
$166$	−2.73470	−	11.9815i	−0.00127864	−	0.00560209i
$167$	887.695	−	1113.13i	0.411329	−	0.515790i	−0.532408	−	0.846488i	$-0.678713\pi$
$167$	887.695	−	1113.13i	0.411329	−	0.515790i	0.943737	+	0.330698i	$0.107284\pi$
$168$	−180.850	+	87.0926i	−0.0830527	+	0.0399961i
$169$	−1951.22	−	939.657i	−0.888129	−	0.427700i
$170$	147.951	+	185.524i	0.0667488	+	0.0837003i
$171$	1327.80	−	1665.00i	0.593796	−	0.744597i
$172$	−1428.80	−	688.074i	−0.633401	−	0.305030i
$173$	−2652.09			−1.16552			−0.582759	−	0.812645i	$-0.698027\pi$
$173$	−2652.09			−1.16552			−0.582759	+	0.812645i	$0.698027\pi$
$174$	154.414	−	365.094i	0.0672765	−	0.159067i
$175$	2277.91			0.983963
$176$	−274.259	−	132.076i	−0.117461	−	0.0565660i
$177$	238.969	−	299.658i	0.101480	−	0.127252i
$178$	−942.817	−	1182.25i	−0.397006	−	0.497830i
$179$	−3048.68	−	1468.17i	−1.27301	−	0.613050i	−0.329427	−	0.944181i	$-0.606856\pi$
$179$	−3048.68	−	1468.17i	−1.27301	−	0.613050i	−0.943585	+	0.331130i	$0.892570\pi$
$180$	286.136	−	137.796i	0.118485	−	0.0570595i
$181$	556.127	−	697.362i	0.228379	−	0.286378i	−0.654418	−	0.756133i	$-0.727086\pi$
$181$	556.127	−	697.362i	0.228379	−	0.286378i	0.882797	+	0.469755i	$0.155658\pi$
$182$	581.143	+	2546.16i	0.236688	+	1.03700i
$183$	−6.71257	−	29.4097i	−0.00271152	−	0.0118799i
$184$	170.532	+	213.840i	0.0683249	+	0.0856767i
$185$	104.430	−	457.539i	0.0415019	−	0.181832i
$186$	298.196			0.117553
$187$	−160.622	+	703.732i	−0.0628121	+	0.275198i
$188$	−399.612	+	192.443i	−0.155025	+	0.0746561i
$189$	1184.32	−	570.340i	0.455803	−	0.219503i
$190$	116.736	−	511.456i	0.0445734	−	0.195289i
$191$	3585.56			1.35834			0.679168	−	0.733983i	$-0.262341\pi$
$191$	3585.56			1.35834			0.679168	+	0.733983i	$0.262341\pi$
$192$	18.0744	−	79.1891i	0.00679379	−	0.0297655i
$193$	−2244.95	−	2815.07i	−0.837278	−	1.04991i	−0.998019	−	0.0629170i	$-0.979960\pi$
$193$	−2244.95	−	2815.07i	−0.837278	−	1.04991i	0.160741	−	0.986997i	$-0.448612\pi$
$194$	135.437	+	593.388i	0.0501227	+	0.219602i
$195$	58.3330	+	255.574i	0.0214221	+	0.0938564i
$196$	119.337	−	149.644i	0.0434901	−	0.0545348i
$197$	−4687.27	+	2257.27i	−1.69520	+	0.816365i	−0.700486	+	0.713666i	$0.747033\pi$
$197$	−4687.27	+	2257.27i	−1.69520	+	0.816365i	−0.994713	+	0.102698i	$0.967252\pi$
$198$	870.404	+	419.165i	0.312409	+	0.150448i
$199$	2926.61	+	3669.86i	1.04252	+	1.30728i	0.950230	+	0.311551i	$0.100848\pi$
$199$	2926.61	+	3669.86i	1.04252	+	1.30728i	0.0922935	+	0.995732i	$0.470580\pi$
$200$	−574.712	+	720.665i	−0.203191	+	0.254794i
$201$	8.93350	+	4.30215i	0.00313493	+	0.00150970i
$202$	−2568.79			−0.894751
$203$	150.212	+	3083.81i	0.0519349	+	1.06621i
$204$	−192.609			−0.0661045
$205$	−767.824	−	369.765i	−0.261596	−	0.125978i
$206$	1872.01	−	2347.43i	0.633151	−	0.793946i
$207$	−541.210	−	678.656i	−0.181723	−	0.227874i
$208$	−952.153	−	458.533i	−0.317404	−	0.152854i
$209$	1437.78	−	692.400i	0.475854	−	0.229159i
$210$	97.8432	−	122.692i	0.0321515	−	0.0403168i
$211$	683.692	+	2995.45i	0.223068	+	0.977323i	0.955154	+	0.296111i	$0.0956898\pi$
$211$	683.692	+	2995.45i	0.223068	+	0.977323i	−0.732086	+	0.681212i	$0.761453\pi$
$212$	435.351	+	1907.40i	0.141038	+	0.617928i
$213$	602.382	+	755.363i	0.193777	+	0.242989i
$214$	−79.4983	+	348.305i	−0.0253943	+	0.111260i
$215$	1239.81			0.393276
$216$	−118.363	+	518.582i	−0.0372851	+	0.163357i
$217$	−2092.54	+	1007.72i	−0.654613	+	0.315245i
$218$	−996.287	+	479.786i	−0.309528	+	0.149061i
$219$	−200.809	+	879.802i	−0.0619608	+	0.271468i
$220$	237.982			0.0729307
$221$	−557.637	+	2443.17i	−0.169732	+	0.743644i
$222$	237.506	+	297.823i	0.0718033	+	0.0900385i
$223$	914.298	+	4005.80i	0.274556	+	1.20291i	0.904570	+	0.426324i	$0.140192\pi$
$223$	914.298	+	4005.80i	0.274556	+	1.20291i	−0.630015	+	0.776583i	$0.716951\pi$
$224$	140.775	+	616.776i	0.0419908	+	0.183974i
$225$	1823.94	−	2287.15i	0.540426	−	0.677673i
$226$	3729.98	−	1796.26i	1.09785	−	0.528698i
$227$	−1872.32	−	901.663i	−0.547447	−	0.263636i	0.139652	−	0.990201i	$-0.455402\pi$
$227$	−1872.32	−	901.663i	−0.547447	−	0.263636i	−0.687099	+	0.726564i	$0.741116\pi$
$228$	265.494	+	332.919i	0.0771174	+	0.0967021i
$229$	−3653.70	+	4581.60i	−1.05434	+	1.32210i	−0.109708	+	0.993964i	$0.534992\pi$
$229$	−3653.70	+	4581.60i	−1.05434	+	1.32210i	−0.944631	+	0.328135i	$0.893580\pi$
$230$	−192.655	−	92.7776i	−0.0552316	−	0.0265981i
$231$	477.364			0.135966
$232$	−1013.53	−	730.517i	−0.286817	−	0.206728i
$233$	−2195.57			−0.617324			−0.308662	−	0.951172i	$-0.599881\pi$
$233$	−2195.57			−0.617324			−0.308662	+	0.951172i	$0.599881\pi$
$234$	3021.81	+	1455.23i	0.844196	+	0.406543i
$235$	216.198	−	271.104i	0.0600136	−	0.0752547i
$236$	−753.163	−	944.437i	−0.207740	−	0.260498i
$237$	−1057.68	−	509.353i	−0.289890	−	0.139604i
$238$	1351.60	−	650.897i	0.368115	−	0.177275i
$239$	−1546.87	+	1939.72i	−0.418657	+	0.524979i	−0.945779	−	0.324810i	$-0.894700\pi$
$239$	−1546.87	+	1939.72i	−0.418657	+	0.524979i	0.527122	+	0.849789i	$0.323271\pi$
$240$	14.1305	+	61.9097i	0.00380050	+	0.0166511i
$241$	997.220	+	4369.11i	0.266542	+	1.16780i	0.914006	+	0.405700i	$0.132972\pi$
$241$	997.220	+	4369.11i	0.266542	+	1.16780i	−0.647464	+	0.762096i	$0.724170\pi$
$242$	−1208.37	−	1515.25i	−0.320980	−	0.402496i
$243$	569.240	−	2494.00i	0.150275	−	0.658397i
$244$	−95.0747			−0.0249448
$245$	−33.2973	+	145.885i	−0.00868280	+	0.0380418i
$246$	623.234	−	300.134i	0.161528	−	0.0777879i
$247$	4991.59	−	2403.82i	1.28586	−	0.619238i
$248$	209.132	−	916.266i	0.0535479	−	0.234609i
$249$	−7.79870			−0.00198483
$250$	334.322	−	1464.76i	0.0845775	−	0.370558i
$251$	−4299.61	−	5391.54i	−1.08123	−	1.35582i	−0.930100	−	0.367307i	$-0.880280\pi$
$251$	−4299.61	−	5391.54i	−1.08123	−	1.35582i	−0.151131	−	0.988514i	$-0.548291\pi$
$252$	−446.772	−	1957.44i	−0.111683	−	0.489313i
$253$	−144.740	−	634.147i	−0.0359673	−	0.157583i
$254$	992.502	−	1244.56i	0.245178	−	0.307443i
$255$	135.669	−	65.3346i	0.0333173	−	0.0160448i
$256$	−230.648	−	111.074i	−0.0563106	−	0.0271177i
$257$	1007.30	+	1263.11i	0.244488	+	0.306579i	0.888901	−	0.458099i	$-0.151470\pi$
$257$	1007.30	+	1263.11i	0.244488	+	0.306579i	−0.644413	+	0.764678i	$0.722898\pi$
$258$	−627.443	+	786.788i	−0.151406	+	0.189858i
$259$	−2673.11	−	1287.30i	−0.641309	−	0.308838i
$260$	826.210			0.197075
$261$	3216.59	+	2318.41i	0.762843	+	0.549831i
$262$	−3743.69			−0.882772
$263$	−329.315	−	158.590i	−0.0772108	−	0.0371828i	0.394880	−	0.918733i	$-0.370786\pi$
$263$	−329.315	−	158.590i	−0.0772108	−	0.0371828i	−0.472091	+	0.881550i	$0.656501\pi$
$264$	−120.438	+	151.024i	−0.0280774	+	0.0352080i
$265$	−953.656	−	1195.85i	−0.221066	−	0.277209i
$266$	−2988.11	−	1439.00i	−0.688771	−	0.331695i
$267$	−864.551	+	416.346i	−0.198163	+	0.0954305i
$268$	19.4845	−	24.4327i	0.00444106	−	0.00556891i
$269$	−403.505	−	1767.87i	−0.0914578	−	0.400703i	0.908390	−	0.418123i	$-0.137312\pi$
$269$	−403.505	−	1767.87i	−0.0914578	−	0.400703i	−0.999848	+	0.0174202i	$0.994455\pi$
$270$	−92.5357	−	405.425i	−0.0208576	−	0.0913830i
$271$	−1293.57	−	1622.08i	−0.289958	−	0.363596i	0.615422	−	0.788198i	$-0.288986\pi$
$271$	−1293.57	−	1622.08i	−0.289958	−	0.363596i	−0.905380	+	0.424602i	$0.860414\pi$
$272$	−135.081	+	591.829i	−0.0301121	+	0.131930i
$273$	1657.28			0.367410
$274$	424.315	−	1859.04i	0.0935540	−	0.409887i
$275$	1975.02	−	951.120i	0.433084	−	0.208562i
$276$	156.376	−	75.3065i	0.0341040	−	0.0164236i
$277$	−755.599	+	3310.49i	−0.163897	+	0.718081i	0.824459	+	0.565922i	$0.191480\pi$
$277$	−755.599	+	3310.49i	−0.163897	+	0.718081i	−0.988356	+	0.152159i	$0.951378\pi$
$278$	3214.84			0.693572
$279$	−663.713	+	2907.92i	−0.142421	+	0.623987i
$280$	−308.374	−	386.689i	−0.0658174	−	0.0825325i
$281$	−1396.53	−	6118.59i	−0.296476	−	1.29895i	−0.875334	−	0.483519i	$-0.839358\pi$
$281$	−1396.53	−	6118.59i	−0.296476	−	1.29895i	0.578858	−	0.815429i	$-0.303499\pi$
$282$	62.6300	+	274.400i	0.0132254	+	0.0579443i
$283$	5663.92	−	7102.34i	1.18970	−	1.49184i	0.360616	−	0.932714i	$-0.382566\pi$
$283$	5663.92	−	7102.34i	1.18970	−	1.49184i	0.829085	−	0.559123i	$-0.188862\pi$
$284$	2743.46	−	1321.18i	0.573221	−	0.276049i
$285$	−299.936	−	144.441i	−0.0623392	−	0.0300210i
$286$	1567.00	+	1964.95i	0.323980	+	0.406258i
$287$	−3359.18	+	4212.28i	−0.690892	+	0.866352i
$288$	731.998	+	352.512i	0.149769	+	0.0721248i
$289$	−3473.51			−0.707005
$290$	961.701	+	170.759i	0.194735	+	0.0345770i
$291$	386.233			0.0778054
$292$	2562.53	+	1234.05i	0.513565	+	0.247320i
$293$	205.955	−	258.259i	0.0410649	−	0.0514937i	−0.760875	−	0.648898i	$-0.775230\pi$
$293$	205.955	−	258.259i	0.0410649	−	0.0514937i	0.801940	+	0.597405i	$0.203801\pi$
$294$	−75.7281	−	94.9600i	−0.0150223	−	0.0188373i
$295$	850.870	+	409.757i	0.167931	+	0.0808711i
$296$	1081.69	−	520.913i	0.212405	−	0.102289i
$297$	788.707	−	989.007i	0.154092	−	0.193226i
$298$	1152.64	+	5050.04i	0.224062	+	0.981681i
$299$	−502.498	−	2201.59i	−0.0971913	−	0.425823i
$300$	364.697	+	457.316i	0.0701861	+	0.0880105i
$301$	1744.13	−	7641.52i	0.333986	−	1.46329i
$302$	−6818.68			−1.29924
$303$	−362.730	+	1589.22i	−0.0687732	+	0.301315i
$304$	1209.16	−	582.298i	0.228124	−	0.109859i
$305$	66.9682	−	32.2502i	0.0125724	−	0.00605456i
$306$	428.701	−	1878.26i	0.0800889	−	0.350893i
$307$	736.427			0.136906			0.0684529	−	0.997654i	$-0.478194\pi$
$307$	736.427			0.136906			0.0684529	+	0.997654i	$0.478194\pi$
$308$	334.786	−	1466.79i	0.0619357	−	0.271358i
$309$	−1187.93	−	1489.62i	−0.218702	−	0.274244i
$310$	163.498	+	716.333i	0.0299551	+	0.131242i
$311$	2129.13	+	9328.35i	0.388206	+	1.70084i	0.670829	+	0.741612i	$0.265938\pi$
$311$	2129.13	+	9328.35i	0.388206	+	1.70084i	−0.282623	+	0.959231i	$0.591205\pi$
$312$	−418.128	+	524.316i	−0.0758713	+	0.0951396i
$313$	1107.10	−	533.151i	0.199926	−	0.0962795i	−0.331242	−	0.943546i	$-0.607468\pi$
$313$	1107.10	−	533.151i	0.199926	−	0.0962795i	0.531168	+	0.847266i	$0.321753\pi$
$314$	−5207.09	−	2507.60i	−0.935838	−	0.450676i
$315$	978.674	+	1227.22i	0.175054	+	0.219511i
$316$	−2306.86	+	2892.72i	−0.410669	+	0.514962i
$317$	5536.48	+	2666.23i	0.980945	+	0.472398i	0.854430	−	0.519567i	$-0.173907\pi$
$317$	5536.48	+	2666.23i	0.980945	+	0.472398i	0.126515	+	0.991965i	$0.459621\pi$
$318$	1241.51			0.218933
$319$	1417.86	+	2611.05i	0.248855	+	0.458278i
$320$	200.140			0.0349630
$321$	204.258	+	98.3655i	0.0355158	+	0.0171035i
$322$	−842.851	+	1056.90i	−0.145870	+	0.182916i
$323$	−1984.20	−	2488.11i	−0.341808	−	0.428613i
$324$	−2166.38	−	1043.27i	−0.371464	−	0.178888i
$325$	6856.74	−	3302.03i	1.17029	−	0.563581i
$326$	−3705.33	+	4646.34i	−0.629507	+	0.789377i
$327$	156.145	+	684.116i	0.0264062	+	0.115693i
$328$	−485.132	−	2125.50i	−0.0816674	−	0.357808i
$329$	−1366.80	−	1713.91i	−0.229039	−	0.287206i
$330$	33.6046	−	147.231i	0.00560567	−	0.0245600i
$331$	−4114.48			−0.683240			−0.341620	−	0.939838i	$-0.610976\pi$
$331$	−4114.48			−0.683240			−0.341620	+	0.939838i	$0.610976\pi$
$332$	−5.46941	+	23.9630i	−0.000904135	+	0.00396127i
$333$	−3432.90	+	1653.20i	−0.564931	+	0.272056i
$334$	−2565.51	+	1235.49i	−0.420295	+	0.202403i
$335$	−5.43655	+	23.8191i	−0.000886658	+	0.00388470i
$336$	401.456			0.0651822
$337$	28.8583	−	126.436i	0.00466472	−	0.0204375i	−0.972542	−	0.232727i	$-0.925235\pi$
$337$	28.8583	−	126.436i	0.00466472	−	0.0204375i	0.977207	+	0.212290i	$0.0680921\pi$
$338$	2700.57	+	3386.41i	0.434591	+	0.544959i
$339$	−584.589	−	2561.25i	−0.0936593	−	0.410348i
$340$	−105.606	−	462.690i	−0.0168449	−	0.0738025i
$341$	−1393.54	+	1747.45i	−0.221303	+	0.277506i
$342$	−3837.44	+	1848.02i	−0.606740	+	0.292191i
$343$	−5257.23	−	2531.75i	−0.827592	−	0.398547i
$344$	1977.52	+	2479.73i	0.309944	+	0.388658i
$345$	−84.6022	+	106.088i	−0.0132024	+	0.0165553i
$346$	4778.90	+	2301.40i	0.742529	+	0.357583i
$347$	2111.83			0.326712			0.163356	−	0.986567i	$-0.447768\pi$
$347$	2111.83			0.326712			0.163356	+	0.986567i	$0.447768\pi$
$348$	−595.062	+	523.881i	−0.0916628	+	0.0806982i
$349$	−1063.94			−0.163184			−0.0815921	−	0.996666i	$-0.526000\pi$
$349$	−1063.94			−0.163184			−0.0815921	+	0.996666i	$0.526000\pi$
$350$	−4104.64	−	1976.69i	−0.626864	−	0.301882i
$351$	2738.18	−	3433.57i	0.416391	−	0.522137i
$352$	379.586	+	475.986i	0.0574773	+	0.0720743i
$353$	5490.82	+	2644.24i	0.827894	+	0.398693i	0.799325	−	0.600899i	$-0.205191\pi$
$353$	5490.82	+	2644.24i	0.827894	+	0.398693i	0.0285694	+	0.999592i	$0.490905\pi$
$354$	−690.641	+	332.595i	−0.103693	+	0.0499357i
$355$	−1484.27	+	1861.21i	−0.221906	+	0.278262i
$356$	672.975	+	2948.49i	0.100190	+	0.438960i
$357$	−211.833	−	928.099i	−0.0314044	−	0.137592i
$358$	4219.51	+	5291.09i	0.622927	+	0.781126i
$359$	1724.03	−	7553.47i	0.253456	−	1.11046i	−0.674647	−	0.738141i	$-0.735704\pi$
$359$	1724.03	−	7553.47i	0.253456	−	1.11046i	0.928103	−	0.372324i	$-0.121439\pi$
$360$	−635.175			−0.0929907
$361$	−39.3095	+	172.226i	−0.00573109	+	0.0251095i
$362$	−1607.25	+	774.013i	−0.233357	+	0.112379i
$363$	−1108.06	+	533.614i	−0.160215	+	0.0771556i
$364$	1162.29	−	5092.31i	0.167364	−	0.733268i
$365$	−2223.58			−0.318870
$366$	−13.4251	+	58.8194i	−0.00191733	+	0.00840038i
$367$	6016.20	+	7544.07i	0.855703	+	1.07302i	0.996551	+	0.0829860i	$0.0264457\pi$
$367$	6016.20	+	7544.07i	0.855703	+	1.07302i	−0.140848	+	0.990031i	$0.544983\pi$
$368$	−121.724	−	533.309i	−0.0172427	−	0.0755452i
$369$	1539.64	+	6745.61i	0.217210	+	0.951660i
$370$	−585.214	+	733.835i	−0.0822265	+	0.103109i
$371$	−8712.12	+	4195.54i	−1.21917	+	0.587120i
$372$	−537.331	−	258.765i	−0.0748906	−	0.0360654i
$373$	1319.32	+	1654.37i	0.183141	+	0.229652i	0.864924	−	0.501903i	$-0.167367\pi$
$373$	1319.32	+	1654.37i	0.183141	+	0.229652i	−0.681783	+	0.731555i	$0.738795\pi$
$374$	900.107	−	1128.70i	0.124448	−	0.156052i
$375$	−858.987	−	413.666i	−0.118288	−	0.0569644i
$376$	887.072			0.121668
$377$	4922.41	+	9064.85i	0.672459	+	1.23836i
$378$	−2629.00			−0.357728
$379$	−8646.66	−	4164.01i	−1.17190	−	0.564356i	−0.256357	−	0.966582i	$-0.582522\pi$
$379$	−8646.66	−	4164.01i	−1.17190	−	0.564356i	−0.915540	+	0.402226i	$0.868236\pi$
$380$	−654.177	+	820.312i	−0.0883120	+	0.110740i
$381$	−629.817	−	789.765i	−0.0846889	−	0.106197i
$382$	−6460.96	−	3111.43i	−0.865370	−	0.416740i
$383$	7952.93	−	3829.93i	1.06103	−	0.510967i	0.179827	−	0.983698i	$-0.442446\pi$
$383$	7952.93	−	3829.93i	1.06103	−	0.510967i	0.881207	+	0.472731i	$0.156732\pi$
$384$	−101.287	+	127.009i	−0.0134603	+	0.0168787i
$385$	261.734	+	1146.73i	0.0346473	+	0.151800i
$386$	1602.42	+	7020.68i	0.211298	+	0.925759i
$387$	−6275.97	−	7869.82i	−0.824356	−	1.03371i
$388$	270.874	−	1186.78i	0.0354421	−	0.155282i
$389$	5251.56			0.684486			0.342243	−	0.939612i	$-0.388813\pi$
$389$	5251.56			0.684486			0.342243	+	0.939612i	$0.388813\pi$
$390$	116.666	−	511.147i	0.0151477	−	0.0663665i
$391$	−1168.69	+	562.812i	−0.151159	+	0.0727944i
$392$	−344.893	+	166.092i	−0.0444381	+	0.0214003i
$393$	−528.633	+	2316.09i	−0.0678524	+	0.297281i
$394$	10405.0			1.33044
$395$	643.661	−	2820.06i	0.0819901	−	0.359222i
$396$	−1204.68	−	1510.62i	−0.152872	−	0.191695i
$397$	−1872.22	−	8202.75i	−0.236686	−	1.03699i	−0.943963	−	0.330052i	$-0.892934\pi$
$397$	−1872.22	−	8202.75i	−0.236686	−	1.03699i	0.707277	−	0.706936i	$-0.249923\pi$
$398$	−2088.99	−	9152.47i	−0.263095	−	1.15269i
$399$	−1312.20	+	1645.45i	−0.164642	+	0.206454i
$400$	1660.96	−	799.878i	0.207621	−	0.0999848i
$401$	8285.36	+	3990.02i	1.03180	+	0.496888i	0.871611	−	0.490198i	$-0.163076\pi$
$401$	8285.36	+	3990.02i	1.03180	+	0.496888i	0.160188	+	0.987087i	$0.448790\pi$
$402$	−12.3644	−	15.5044i	−0.00153402	−	0.00192361i
$403$	−4838.00	+	6066.66i	−0.598010	+	0.749880i
$404$	4628.81	+	2229.12i	0.570029	+	0.274512i
$405$	1879.83			0.230640
$406$	2405.36	−	5687.18i	0.294029	−	0.695197i
$407$	−2855.18			−0.347729
$408$	347.069	+	167.140i	0.0421140	+	0.0202810i
$409$	2300.06	−	2884.19i	0.278070	−	0.348689i	−0.623109	−	0.782135i	$-0.714131\pi$
$409$	2300.06	−	2884.19i	0.278070	−	0.348689i	0.901180	+	0.433445i	$0.142702\pi$
$410$	1062.70	+	1332.59i	0.128008	+	0.160516i
$411$	−1090.21	−	525.017i	−0.130842	−	0.0630102i
$412$	−5410.26	+	2605.45i	−0.646953	+	0.311556i
$413$	3722.50	−	4667.86i	0.443516	−	0.556151i
$414$	386.311	+	1692.54i	0.0458603	+	0.200927i
$415$	−4.27596	−	18.7342i	−0.000505780	−	0.00221597i
$416$	1317.82	+	1652.50i	0.155316	+	0.194760i
$417$	453.955	−	1988.91i	0.0533100	−	0.233566i
$418$	−3191.64			−0.373464
$419$	−2226.01	+	9752.78i	−0.259541	+	1.13712i	0.662203	+	0.749324i	$0.269621\pi$
$419$	−2226.01	+	9752.78i	−0.259541	+	1.13712i	−0.921744	+	0.387798i	$0.873236\pi$
$420$	−282.775	+	136.177i	−0.0328524	+	0.0158209i
$421$	1967.24	−	947.375i	0.227738	−	0.109673i	−0.316536	−	0.948581i	$-0.602520\pi$
$421$	1967.24	−	947.375i	0.227738	−	0.109673i	0.544273	+	0.838908i	$0.316805\pi$
$422$	1367.38	−	5990.90i	0.157733	−	0.691072i
$423$	−2815.26			−0.323600
$424$	870.702	−	3814.80i	0.0997289	−	0.436941i
$425$	−2725.61	−	3417.81i	−0.311086	−	0.390089i
$426$	−429.975	−	1883.84i	−0.0489023	−	0.214255i
$427$	−104.564	−	458.124i	−0.0118506	−	0.0519208i
$428$	445.498	−	558.637i	0.0503130	−	0.0630905i
$429$	1436.91	−	691.982i	0.161713	−	0.0778769i
$430$	−2234.06	−	1075.87i	−0.250549	−	0.120658i
$431$	−4355.33	−	5461.41i	−0.486749	−	0.610364i	0.476434	−	0.879210i	$-0.341929\pi$
$431$	−4355.33	−	5461.41i	−0.486749	−	0.610364i	−0.963183	+	0.268846i	$0.913358\pi$
$432$	663.291	−	831.741i	0.0738718	−	0.0926323i
$433$	−9902.14	−	4768.62i	−1.09900	−	0.529250i	−0.205655	−	0.978625i	$-0.565933\pi$
$433$	−9902.14	−	4768.62i	−1.09900	−	0.529250i	−0.893343	+	0.449375i	$0.851647\pi$
$434$	4645.09			0.513759
$435$	241.441	−	570.858i	0.0266120	−	0.0629208i
$436$	2211.59			0.242926
$437$	2583.74	+	1244.26i	0.282830	+	0.136204i
$438$	1125.31	−	1411.09i	0.122761	−	0.153938i
$439$	4662.43	+	5846.50i	0.506892	+	0.635622i	0.967768	−	0.251842i	$-0.0810364\pi$
$439$	4662.43	+	5846.50i	0.506892	+	0.635622i	−0.460877	+	0.887464i	$0.652465\pi$
$440$	−428.829	−	206.513i	−0.0464628	−	0.0223753i
$441$	1094.57	−	527.118i	0.118192	−	0.0569181i
$442$	3124.93	−	3918.54i	0.336284	−	0.421687i
$443$	−659.791	−	2890.73i	−0.0707621	−	0.310029i	0.927144	−	0.374705i	$-0.122256\pi$
$443$	−659.791	−	2890.73i	−0.0707621	−	0.310029i	−0.997906	+	0.0646756i	$0.979399\pi$
$444$	−169.530	−	742.758i	−0.0181205	−	0.0793912i
$445$	−1474.18	−	1848.56i	−0.157040	−	0.196922i
$446$	1828.60	−	8011.61i	0.194140	−	0.850584i
$447$	3287.04			0.347811
$448$	281.550	−	1233.55i	0.0296920	−	0.130089i
$449$	−5286.72	+	2545.95i	−0.555670	+	0.267597i	−0.690574	−	0.723262i	$-0.742642\pi$
$449$	−5286.72	+	2545.95i	−0.555670	+	0.267597i	0.134904	+	0.990859i	$0.456928\pi$
$450$	−5271.33	+	2538.54i	−0.552207	+	0.265929i
$451$	−1153.72	+	5054.78i	−0.120458	+	0.527761i
$452$	−8279.93			−0.861627
$453$	−962.840	+	4218.48i	−0.0998636	+	0.437531i
$454$	2591.37	+	3249.48i	0.267884	+	0.335916i
$455$	908.671	+	3981.15i	0.0936245	+	0.410196i
$456$	−189.507	−	830.286i	−0.0194616	−	0.0852669i
$457$	9430.52	−	11825.5i	0.965298	−	1.21045i	−0.0122914	−	0.999924i	$-0.503913\pi$
$457$	9430.52	−	11825.5i	0.965298	−	1.21045i	0.977589	−	0.210521i	$-0.0675160\pi$
$458$	10559.5	−	5085.19i	1.07732	−	0.518811i
$459$	−2272.84	−	1094.54i	−0.231126	−	0.111305i
$460$	266.642	+	334.359i	0.0270267	+	0.0338904i
$461$	2499.91	−	3134.79i	0.252565	−	0.316707i	−0.639344	−	0.768921i	$-0.720794\pi$
$461$	2499.91	−	3134.79i	0.252565	−	0.316707i	0.891910	+	0.452214i	$0.149366\pi$
$462$	−860.179	−	414.241i	−0.0866216	−	0.0417148i
$463$	−15978.6			−1.60386			−0.801930	−	0.597419i	$-0.796193\pi$
$463$	−15978.6			−1.60386			−0.801930	+	0.597419i	$0.796193\pi$
$464$	1192.40	+	2195.85i	0.119301	+	0.219698i
$465$	466.257			0.0464993
$466$	3956.28	+	1905.24i	0.393285	+	0.189396i
$467$	7203.43	−	9032.82i	0.713780	−	0.895052i	−0.284188	−	0.958769i	$-0.591724\pi$
$467$	7203.43	−	9032.82i	0.713780	−	0.895052i	0.997968	+	0.0637169i	$0.0202955\pi$
$468$	−4182.31	−	5244.45i	−0.413093	−	0.518002i
$469$	139.160	+	67.0159i	0.0137011	+	0.00659809i
$470$	−624.830	+	300.902i	−0.0613219	+	0.0295311i
$471$	−2286.64	+	2867.35i	−0.223700	+	0.280511i
$472$	537.602	+	2355.39i	0.0524261	+	0.229694i
$473$	−1678.43	−	7353.69i	−0.163159	−	0.714848i
$474$	1463.88	+	1835.65i	0.141853	+	0.177878i
$475$	−2150.57	+	9422.27i	−0.207737	+	0.910154i
$476$	−3000.33			−0.288907
$477$	−2763.31	+	12106.9i	−0.265248	+	1.16213i
$478$	4470.60	−	2152.93i	0.427783	−	0.206009i
$479$	10187.4	−	4906.01i	0.971765	−	0.467977i	0.120500	−	0.992713i	$-0.461550\pi$
$479$	10187.4	−	4906.01i	0.971765	−	0.467977i	0.851265	+	0.524736i	$0.175836\pi$
$480$	28.2610	−	123.819i	0.00268736	−	0.0117741i
$481$	−9912.40			−0.939639
$482$	1994.44	−	8738.21i	0.188474	−	0.825757i
$483$	534.852	+	670.683i	0.0503864	+	0.0631825i
$484$	862.525	+	3778.97i	0.0810035	+	0.354900i
$485$	211.768	+	927.817i	0.0198266	+	0.0868659i
$486$	−3189.95	+	4000.07i	−0.297735	+	0.373348i
$487$	−2162.47	+	1041.39i	−0.201214	+	0.0968994i	−0.531777	−	0.846884i	$-0.678476\pi$
$487$	−2162.47	+	1041.39i	−0.201214	+	0.0968994i	0.330563	+	0.943784i	$0.392761\pi$
$488$	171.319	+	82.5028i	0.0158919	+	0.00765312i
$489$	2351.31	+	2948.45i	0.217444	+	0.272666i
$490$	186.594	−	233.981i	0.0172030	−	0.0215718i
$491$	3310.04	+	1594.03i	0.304236	+	0.146512i	0.579773	−	0.814778i	$-0.303141\pi$
$491$	3310.04	+	1594.03i	0.304236	+	0.146512i	−0.275537	+	0.961291i	$0.588856\pi$
$492$	−1383.48			−0.126772
$493$	4447.26	−	3915.29i	0.406277	−	0.357679i
$494$	−11080.5			−1.00918
$495$	1360.96	+	655.402i	0.123577	+	0.0595114i
$496$	−1171.95	+	1469.58i	−0.106093	+	0.133036i
$497$	9383.48	+	11766.5i	0.846895	+	1.06197i
$498$	14.0528	+	6.76746i	0.00126450	+	0.000608950i
$499$	−17969.3	+	8653.55i	−1.61206	+	0.776325i	−0.999896	−	0.0144100i	$-0.995413\pi$
$499$	−17969.3	+	8653.55i	−1.61206	+	0.776325i	−0.612159	+	0.790735i	$0.709699\pi$
$500$	−1873.50	+	2349.29i	−0.167571	+	0.210127i
$501$	402.085	+	1761.65i	0.0358560	+	0.157095i
$502$	3069.03	+	13446.3i	0.272863	+	1.19549i
$503$	1715.71	+	2151.43i	0.152087	+	0.190711i	0.852038	−	0.523480i	$-0.175366\pi$
$503$	1715.71	+	2151.43i	0.152087	+	0.190711i	−0.699951	+	0.714190i	$0.746795\pi$
$504$	−893.544	+	3914.87i	−0.0789715	+	0.345997i
$505$	−4016.55			−0.353929
$506$	−289.480	+	1268.29i	−0.0254327	+	0.111428i
$507$	2476.39	−	1192.57i	0.216924	−	0.104465i
$508$	−2868.41	+	1381.35i	−0.250522	+	0.120645i
$509$	−712.269	+	3120.66i	−0.0620251	+	0.271750i	−0.996426	−	0.0844744i	$-0.973079\pi$
$509$	−712.269	+	3120.66i	−0.0620251	+	0.271750i	0.934401	+	0.356224i	$0.115936\pi$
$510$	−301.162			−0.0261484
$511$	−3128.07	+	13705.0i	−0.270797	+	1.18644i
$512$	319.227	+	400.298i	0.0275546	+	0.0345524i
$513$	1241.02	+	5437.26i	0.106808	+	0.467955i
$514$	−719.001	−	3150.15i	−0.0616999	−	0.270325i
$515$	2927.06	−	3670.42i	0.250450	−	0.314054i
$516$	1813.36	−	873.269i	0.154707	−	0.0745029i
$517$	−1900.68	−	915.321i	−0.161687	−	0.0778642i
$518$	3699.70	+	4639.28i	0.313814	+	0.393510i
$519$	2098.60	−	2631.56i	0.177492	−	0.222568i
$520$	−1488.78	−	716.958i	−0.125552	−	0.0604629i
$521$	10242.3			0.861277			0.430639	−	0.902524i	$-0.358288\pi$
$521$	10242.3			0.861277			0.430639	+	0.902524i	$0.358288\pi$
$522$	−3784.26	−	6968.89i	−0.317304	−	0.584329i
$523$	18556.0			1.55143			0.775716	−	0.631083i	$-0.217389\pi$
$523$	18556.0			1.55143			0.775716	+	0.631083i	$0.217389\pi$
$524$	6745.90	+	3248.66i	0.562397	+	0.270836i
$525$	−1802.51	+	2260.28i	−0.149844	+	0.187898i
$526$	455.786	+	571.538i	0.0377818	+	0.0473769i
$527$	4015.81	+	1933.91i	0.331938	+	0.159853i
$528$	348.076	−	167.624i	0.0286895	−	0.0138161i
$529$	−6857.21	+	8598.67i	−0.563591	+	0.706721i
$530$	680.712	+	2982.39i	0.0557891	+	0.244428i
$531$	−1706.16	−	7475.19i	−0.139437	−	0.610915i
$532$	4135.68	+	5185.98i	0.337038	+	0.422633i
$533$	−4005.41	+	17548.8i	−0.325504	+	1.42612i
$534$	1919.16			0.155524
$535$	−124.303	+	544.606i	−0.0100450	+	0.0440101i
$536$	−56.3117	+	27.1183i	−0.00453787	+	0.00218532i
$537$	3869.23	−	1863.32i	0.310931	−	0.149736i
$538$	−807.010	+	3535.74i	−0.0646704	+	0.283340i
$539$	910.366			0.0727500
$540$	−185.071	+	810.851i	−0.0147485	+	0.0646175i
$541$	−9430.91	−	11826.0i	−0.749476	−	0.939813i	0.250121	−	0.968215i	$-0.419530\pi$
$541$	−9430.91	−	11826.0i	−0.749476	−	0.939813i	−0.999597	+	0.0284019i	$0.990958\pi$
$542$	923.339	+	4045.41i	0.0731749	+	0.320600i
$543$	251.900	+	1103.65i	0.0199081	+	0.0872229i
$544$	756.978	−	949.220i	0.0596602	−	0.0748115i
$545$	−1557.79	+	750.190i	−0.122437	+	0.0589626i
$546$	−2986.31	−	1438.13i	−0.234070	−	0.112722i
$547$	−2312.03	−	2899.19i	−0.180722	−	0.226619i	0.683216	−	0.730217i	$-0.260581\pi$
$547$	−2312.03	−	2899.19i	−0.180722	−	0.226619i	−0.863938	+	0.503598i	$0.832009\pi$
$548$	−2377.81	+	2981.68i	−0.185356	+	0.232429i
$549$	−543.707	−	261.836i	−0.0422675	−	0.0203550i
$550$	−4384.21			−0.339897
$551$	−12897.6	−	2290.09i	−0.997198	−	0.177062i
$552$	−347.128			−0.0267658
$553$	−16475.8	−	7934.35i	−1.26695	−	0.610132i
$554$	4234.28	−	5309.62i	0.324724	−	0.407192i
$555$	371.362	+	465.673i	0.0284026	+	0.0356157i
$556$	−5792.94	−	2789.73i	−0.441862	−	0.212789i
$557$	5498.68	−	2648.03i	0.418289	−	0.201437i	−0.212888	−	0.977077i	$-0.568287\pi$
$557$	5498.68	−	2648.03i	0.418289	−	0.201437i	0.631176	+	0.775640i	$0.282573\pi$
$558$	3719.36	−	4663.93i	0.282174	−	0.353835i
$559$	−5827.06	−	25530.0i	−0.440892	−	1.93167i
$560$	220.115	+	964.387i	0.0166099	+	0.0727728i
$561$	−571.185	−	716.244i	−0.0429866	−	0.0539035i
$562$	−2793.06	+	12237.2i	−0.209640	+	0.918495i
$563$	16970.8			1.27040			0.635199	−	0.772349i	$-0.280918\pi$
$563$	16970.8			1.27040			0.635199	+	0.772349i	$0.280918\pi$
$564$	125.260	−	548.800i	0.00935177	−	0.0409728i
$565$	5832.17	−	2808.62i	0.434268	−	0.209132i
$566$	−16369.2	+	7883.00i	−1.21563	+	0.585419i
$567$	2644.48	−	11586.2i	0.195869	−	0.858159i
$568$	−6090.03			−0.449880
$569$	1005.01	−	4403.23i	0.0740459	−	0.324416i	−0.924316	−	0.381627i	$-0.875364\pi$
$569$	1005.01	−	4403.23i	0.0740459	−	0.324416i	0.998362	+	0.0572113i	$0.0182209\pi$
$570$	415.124	+	520.549i	0.0305046	+	0.0382516i
$571$	675.115	+	2957.87i	0.0494793	+	0.216783i	0.993623	−	0.112750i	$-0.0359659\pi$
$571$	675.115	+	2957.87i	0.0494793	+	0.216783i	−0.944144	+	0.329533i	$0.893109\pi$
$572$	−1118.51	−	4900.51i	−0.0817608	−	0.358218i
$573$	−2837.26	+	3557.81i	−0.206856	+	0.259389i
$574$	9708.31	−	4675.28i	0.705953	−	0.339969i
$575$	3549.17	+	1709.19i	0.257410	+	0.123962i
$576$	−1013.12	−	1270.41i	−0.0732868	−	0.0918987i
$577$	13526.4	−	16961.5i	0.975928	−	1.22377i	0.00128706	−	0.999999i	$-0.499590\pi$
$577$	13526.4	−	16961.5i	0.975928	−	1.22377i	0.974641	−	0.223776i	$-0.0718383\pi$
$578$	6259.06	+	3014.20i	0.450419	+	0.216911i
$579$	4569.72			0.327998
$580$	−1584.75	−	1142.23i	−0.113453	−	0.0817733i
$581$	−121.483			−0.00867462
$582$	−695.967	−	335.160i	−0.0495683	−	0.0238709i
$583$	−5801.89	+	7275.34i	−0.412161	+	0.516833i
$584$	−3546.66	−	4447.37i	−0.251304	−	0.315126i
$585$	4724.88	+	2275.38i	0.333931	+	0.160813i
$586$	−595.226	+	286.646i	−0.0419600	+	0.0202069i
$587$	16026.9	−	20097.1i	1.12692	−	1.41311i	0.228732	−	0.973489i	$-0.426542\pi$
$587$	16026.9	−	20097.1i	1.12692	−	1.41311i	0.898184	−	0.439619i	$-0.144887\pi$
$588$	54.0541	+	236.826i	0.00379108	+	0.0166098i
$589$	−2192.72	−	9606.92i	−0.153394	−	0.672065i
$590$	−1177.64	−	1476.71i	−0.0821740	−	0.103043i
$591$	1469.24	−	6437.18i	0.102262	−	0.448037i
$592$	−2401.16			−0.166701
$593$	4148.96	−	18177.8i	0.287315	−	1.25881i	−0.600880	−	0.799339i	$-0.705183\pi$
$593$	4148.96	−	18177.8i	0.287315	−	1.25881i	0.888194	−	0.459468i	$-0.151960\pi$
$594$	−2279.43	+	1097.72i	−0.157451	+	0.0758246i
$595$	2113.35	−	1017.74i	0.145612	−	0.0701230i
$596$	2305.28	−	10100.1i	0.158436	−	0.694153i
$597$	−5957.29			−0.408401
$598$	−1005.00	+	4403.17i	−0.0687246	+	0.301102i
$599$	424.517	+	532.327i	0.0289571	+	0.0363110i	0.796099	−	0.605166i	$-0.206893\pi$
$599$	424.517	+	532.327i	0.0289571	+	0.0363110i	−0.767142	+	0.641477i	$0.778322\pi$
$600$	−260.318	−	1140.53i	−0.0177124	−	0.0776031i
$601$	878.669	+	3849.70i	0.0596367	+	0.261285i	0.995953	−	0.0898713i	$-0.0286456\pi$
$601$	878.669	+	3849.70i	0.0596367	+	0.261285i	−0.936317	+	0.351157i	$0.885788\pi$
$602$	−9773.87	+	12256.0i	−0.661716	+	0.829766i
$603$	178.714	−	86.0642i	0.0120693	−	0.00581228i
$604$	12286.8	+	5917.03i	0.827723	+	0.398610i
$605$	−1889.40	−	2369.23i	−0.126967	−	0.159212i
$606$	2032.69	−	2548.91i	0.136258	−	0.170862i
$607$	1724.95	+	830.692i	0.115344	+	0.0555465i	0.490666	−	0.871348i	$-0.336754\pi$
$607$	1724.95	+	830.692i	0.115344	+	0.0555465i	−0.375322	+	0.926894i	$0.622468\pi$
$608$	−2684.12			−0.179039
$609$	−3178.81	−	2291.18i	−0.211514	−	0.152452i
$610$	−148.658			−0.00986720
$611$	−6598.66	−	3177.75i	−0.436912	−	0.210406i
$612$	−2402.39	+	3012.50i	−0.158678	+	0.198976i
$613$	537.884	+	674.485i	0.0354403	+	0.0444408i	0.799236	−	0.601018i	$-0.205238\pi$
$613$	537.884	+	674.485i	0.0354403	+	0.0444408i	−0.763795	+	0.645458i	$0.776666\pi$
$614$	−1327.00	−	639.047i	−0.0872202	−	0.0420030i
$615$	974.484	−	469.287i	0.0638943	−	0.0307699i
$616$	−1876.10	+	2352.55i	−0.122711	+	0.153875i
$617$	−1993.51	−	8734.14i	−0.130074	−	0.569892i	−0.997394	−	0.0721415i	$-0.977017\pi$
$617$	−1993.51	−	8734.14i	−0.130074	−	0.569892i	0.867320	−	0.497750i	$-0.165840\pi$
$618$	847.935	+	3715.04i	0.0551925	+	0.241814i
$619$	7528.27	+	9440.15i	0.488831	+	0.612975i	0.963669	−	0.267098i	$-0.0860648\pi$
$619$	7528.27	+	9440.15i	0.488831	+	0.612975i	−0.474838	+	0.880073i	$0.657493\pi$
$620$	326.997	−	1432.67i	0.0211815	−	0.0928021i
$621$	2273.22			0.146894
$622$	4258.27	−	18656.7i	0.274503	−	1.20268i
$623$	−13467.4	+	6485.54i	−0.866066	+	0.417075i
$624$	1208.43	−	581.947i	0.0775252	−	0.0373342i
$625$	−2682.13	+	11751.2i	−0.171657	+	0.752077i
$626$	−2457.58			−0.156908
$627$	−450.679	+	1974.55i	−0.0287056	+	0.125767i
$628$	7206.84	+	9037.09i	0.457936	+	0.574234i
$629$	1267.00	+	5551.09i	0.0803157	+	0.351886i
$630$	−698.569	−	3060.63i	−0.0441773	−	0.193553i
$631$	−4182.38	+	5244.54i	−0.263863	+	0.330874i	−0.896059	−	0.443934i	$-0.853582\pi$
$631$	−4182.38	+	5244.54i	−0.263863	+	0.330874i	0.632196	+	0.774809i	$0.282154\pi$
$632$	6667.03	−	3210.67i	0.419621	−	0.202079i
$633$	−3513.27	−	1691.90i	−0.220601	−	0.106236i
$634$	−7662.72	−	9608.75i	−0.480009	−	0.601912i
$635$	1551.87	−	1945.98i	0.0969827	−	0.121612i
$636$	−2237.13	−	1077.35i	−0.139478	−	0.0671691i
$637$	3160.54			0.196586
$638$	−289.107	−	5935.31i	−0.0179402	−	0.368309i
$639$	19327.7			1.19654
$640$	−360.639	−	173.675i	−0.0222743	−	0.0107267i
$641$	−19119.4	+	23974.9i	−1.17811	+	1.47731i	−0.332828	+	0.942988i	$0.608003\pi$
$641$	−19119.4	+	23974.9i	−1.17811	+	1.47731i	−0.845284	+	0.534318i	$0.820569\pi$
$642$	−282.702	−	354.497i	−0.0173791	−	0.0217927i
$643$	20093.1	+	9676.31i	1.23234	+	0.593463i	0.932722	−	0.360597i	$-0.117427\pi$
$643$	20093.1	+	9676.31i	1.23234	+	0.593463i	0.299616	+	0.954060i	$0.403141\pi$
$644$	2435.91	−	1173.07i	0.149050	−	0.0717788i
$645$	−981.064	+	1230.22i	−0.0598905	+	0.0751003i
$646$	1416.31	+	6205.24i	0.0862597	+	0.377929i
$647$	−1978.09	−	8666.57i	−0.120196	−	0.526612i	−0.998796	−	0.0490544i	$-0.984379\pi$
$647$	−1978.09	−	8666.57i	−0.120196	−	0.526612i	0.878600	−	0.477558i	$-0.158478\pi$
$648$	2998.36	+	3759.82i	0.181770	+	0.227932i
$649$	1278.50	−	5601.49i	0.0773277	−	0.338795i
$650$	−15220.8			−0.918476
$651$	655.916	−	2873.76i	0.0394890	−	0.173013i
$652$	10708.7	−	5157.05i	0.643229	−	0.309763i
$653$	−10713.2	+	5159.20i	−0.642021	+	0.309181i	−0.726420	−	0.687251i	$-0.758817\pi$
$653$	−10713.2	+	5159.20i	−0.642021	+	0.309181i	0.0843990	+	0.996432i	$0.473103\pi$
$654$	312.290	−	1368.23i	0.0186720	−	0.0818075i
$655$	−5853.61			−0.349190
$656$	−970.263	+	4251.00i	−0.0577476	+	0.253009i
$657$	11255.9	+	14114.4i	0.668392	+	0.838137i
$658$	975.607	+	4274.41i	0.0578011	+	0.253243i
$659$	−3407.02	−	14927.1i	−0.201394	−	0.882365i	−0.970089	−	0.242749i	$-0.921951\pi$
$659$	−3407.02	−	14927.1i	−0.201394	−	0.882365i	0.768695	−	0.639616i	$-0.220906\pi$
$660$	−188.316	+	236.141i	−0.0111063	+	0.0139269i
$661$	−9842.67	+	4739.98i	−0.579176	+	0.278917i	−0.700449	−	0.713703i	$-0.747017\pi$
$661$	−9842.67	+	4739.98i	−0.579176	+	0.278917i	0.121273	+	0.992619i	$0.461302\pi$
$662$	7414.04	+	3570.41i	0.435279	+	0.209619i
$663$	−1983.00	−	2486.61i	−0.116159	−	0.145659i
$664$	30.6499	−	38.4337i	0.00179133	−	0.00224626i
$665$	−4672.19	−	2250.01i	−0.272451	−	0.131205i
$666$	7620.47			0.443374
$667$	−2079.84	+	4917.54i	−0.120737	+	0.285469i
$668$	5695.01			0.329860
$669$	−4698.29	−	2262.58i	−0.271519	−	0.130757i
$670$	30.4658	−	38.2029i	0.00175671	−	0.00220284i
$671$	−281.946	−	353.549i	−0.0162212	−	0.0203407i
$672$	−723.399	−	348.371i	−0.0415264	−	0.0199980i
$673$	−14633.2	+	7046.99i	−0.838142	+	0.403628i	−0.803162	−	0.595760i	$-0.796851\pi$
$673$	−14633.2	+	7046.99i	−0.838142	+	0.403628i	−0.0349796	+	0.999388i	$0.511137\pi$
$674$	−161.718	+	202.788i	−0.00924207	+	0.0115892i
$675$	1704.73	+	7468.93i	0.0972077	+	0.425895i
$676$	−1927.64	−	8445.56i	−0.109675	−	0.480517i
$677$	−9627.45	−	12072.4i	−0.546548	−	0.685349i	0.429460	−	0.903086i	$-0.358704\pi$
$677$	−9627.45	−	12072.4i	−0.546548	−	0.685349i	−0.976008	+	0.217737i	$0.930133\pi$
$678$	−1169.18	+	5122.50i	−0.0662271	+	0.290160i
$679$	6016.47			0.340045
$680$	−211.212	+	925.379i	−0.0119112	+	0.0521863i
$681$	2376.26	−	1144.34i	0.133713	−	0.0643927i
$682$	4027.45	−	1939.52i	0.226128	−	0.108897i
$683$	−7547.65	+	33068.4i	−0.422845	+	1.85260i	0.0926322	+	0.995700i	$0.470472\pi$
$683$	−7547.65	+	33068.4i	−0.422845	+	1.85260i	−0.515477	+	0.856903i	$0.672385\pi$
$684$	8518.48			0.476188
$685$	663.455	−	2906.79i	0.0370063	−	0.162135i
$686$	7276.24	+	9124.11i	0.404968	+	0.507814i
$687$	−1654.96	−	7250.86i	−0.0919079	−	0.402675i
$688$	−1411.54	−	6184.35i	−0.0782186	−	0.342698i
$689$	−20142.6	+	25258.0i	−1.11375	+	1.39659i
$690$	244.508	−	117.749i	0.0134902	−	0.00649654i
$691$	23008.5	+	11080.3i	1.26669	+	0.610007i	0.941937	−	0.335791i	$-0.109003\pi$
$691$	23008.5	+	11080.3i	1.26669	+	0.610007i	0.324756	+	0.945798i	$0.394718\pi$
$692$	−6614.20	−	8293.95i	−0.363344	−	0.455619i
$693$	5954.10	−	7466.20i	0.326374	−	0.409260i
$694$	−3805.39	−	1832.58i	−0.208142	−	0.100236i
$695$	5026.69			0.274350
$696$	1526.87	−	427.626i	0.0831550	−	0.0232890i
$697$	10339.6			0.561892
$698$	1917.15	+	923.250i	0.103962	+	0.0500653i
$699$	1737.36	−	2178.58i	0.0940098	−	0.117885i
$700$	5681.00	+	7123.75i	0.306745	+	0.384647i
$701$	21487.3	+	10347.8i	1.15773	+	0.557531i	0.911345	−	0.411642i	$-0.135045\pi$
$701$	21487.3	+	10347.8i	1.15773	+	0.557531i	0.246380	+	0.969173i	$0.420759\pi$
$702$	−7913.56	+	3810.97i	−0.425467	+	0.204894i
$703$	7848.44	−	9841.63i	0.421066	−	0.528000i
$704$	−270.946	−	1187.09i	−0.0145052	−	0.0635513i
$705$	97.9278	+	429.050i	0.00523145	+	0.0229205i
$706$	−7599.53	−	9529.51i	−0.405116	−	0.508000i
$707$	−5650.35	+	24755.8i	−0.300570	+	1.31689i
$708$	1533.11			0.0813809
$709$	−4728.10	+	20715.2i	−0.250448	+	1.09728i	0.680677	+	0.732584i	$0.261686\pi$
$709$	−4728.10	+	20715.2i	−0.250448	+	1.09728i	−0.931125	+	0.364701i	$0.881171\pi$
$710$	4289.66	−	2065.79i	0.226744	−	0.109194i
$711$	−21158.9	+	10189.6i	−1.11606	+	0.537467i
$712$	1345.95	−	5896.99i	0.0708449	−	0.310392i
$713$	−4016.48			−0.210965
$714$	−423.665	+	1856.20i	−0.0222063	+	0.0972920i
$715$	2450.14	+	3072.38i	0.128154	+	0.160700i
$716$	−3011.85	−	13195.8i	−0.157204	−	0.688756i
$717$	−700.663	−	3069.81i	−0.0364948	−	0.159894i
$718$	−9661.25	+	12114.8i	−0.502165	+	0.629695i
$719$	−7295.22	+	3513.19i	−0.378394	+	0.182225i	−0.613407	−	0.789767i	$-0.710201\pi$
$719$	−7295.22	+	3513.19i	−0.378394	+	0.182225i	0.235012	+	0.971992i	$0.424487\pi$
$720$	1144.55	+	551.184i	0.0592427	+	0.0285298i
$721$	−18504.8	−	23204.2i	−0.955829	−	1.19857i
$722$	220.286	−	276.230i	0.0113548	−	0.0142385i
$723$	−5124.40	−	2467.78i	−0.263594	−	0.126940i
$724$	3567.84			0.183146
$725$	−17716.9	−	3145.80i	−0.907570	−	0.161148i
$726$	2459.71			0.125742
$727$	31667.9	+	15250.4i	1.61554	+	0.778002i	0.999949	−	0.0100657i	$-0.00320407\pi$
$727$	31667.9	+	15250.4i	1.61554	+	0.778002i	0.615589	+	0.788068i	$0.288918\pi$
$728$	−6513.31	+	8167.43i	−0.331592	+	0.415804i
$729$	−8095.20	−	10151.1i	−0.411279	−	0.515727i
$730$	4006.76	+	1929.55i	0.203146	+	0.0978300i
$731$	−13552.4	+	6526.48i	−0.685708	+	0.330220i
$732$	75.2328	−	94.3390i	0.00379875	−	0.00476348i
$733$	−7068.20	−	30967.8i	−0.356166	−	1.56047i	−0.762652	−	0.646809i	$-0.776103\pi$
$733$	−7068.20	−	30967.8i	−0.356166	−	1.56047i	0.406485	−	0.913657i	$-0.366754\pi$
$734$	−4294.31	−	18814.6i	−0.215948	−	0.946130i
$735$	−118.408	−	148.479i	−0.00594223	−	0.00745132i
$736$	−243.448	+	1066.62i	−0.0121924	+	0.0534185i
$737$	148.638			0.00742898
$738$	3079.28	−	13491.2i	0.153591	−	0.672925i
$739$	11687.3	−	5628.32i	0.581766	−	0.280164i	−0.119765	−	0.992802i	$-0.538214\pi$
$739$	11687.3	−	5628.32i	0.581766	−	0.280164i	0.701532	+	0.712638i	$0.252500\pi$
$740$	1691.32	−	814.495i	0.0840190	−	0.0404614i
$741$	−1564.64	+	6855.11i	−0.0775686	+	0.339850i
$742$	19339.4			0.956838
$743$	2752.43	−	12059.2i	0.135905	−	0.595437i	−0.860406	−	0.509610i	$-0.829790\pi$
$743$	2752.43	−	12059.2i	0.135905	−	0.595437i	0.996310	−	0.0858266i	$-0.0273531\pi$
$744$	743.689	+	932.557i	0.0366465	+	0.0459532i
$745$	1802.26	+	7896.20i	0.0886303	+	0.388315i
$746$	−941.718	−	4125.94i	−0.0462181	−	0.202495i
$747$	−97.2722	+	121.976i	−0.00476440	+	0.00597437i
$748$	−2601.39	+	1252.76i	−0.127161	+	0.0612373i
$749$	3181.79	+	1532.27i	0.155220	+	0.0747502i
$750$	1188.87	+	1490.80i	0.0578821	+	0.0725818i
$751$	8924.48	−	11190.9i	0.433634	−	0.543759i	−0.516219	−	0.856456i	$-0.672661\pi$
$751$	8924.48	−	11190.9i	0.433634	−	0.543759i	0.949853	+	0.312697i	$0.101232\pi$
$752$	−1598.45	−	769.772i	−0.0775125	−	0.0373281i
$753$	8752.10			0.423565
$754$	−1003.70	−	20605.8i	−0.0484784	−	0.995251i
$755$	−10661.6			−0.513930
$756$	4737.29	+	2281.36i	0.227902	+	0.109752i
$757$	−5193.36	+	6512.26i	−0.249347	+	0.312671i	−0.890715	−	0.454562i	$-0.849796\pi$
$757$	−5193.36	+	6512.26i	−0.249347	+	0.312671i	0.641368	+	0.767233i	$0.278367\pi$
$758$	11967.3	+	15006.6i	0.573448	+	0.719081i
$759$	743.772	+	358.182i	0.0355695	+	0.0171294i
$760$	1890.63	−	910.477i	0.0902371	−	0.0434559i
$761$	−25749.6	+	32289.0i	−1.22657	+	1.53807i	−0.472425	+	0.881371i	$0.656621\pi$
$761$	−25749.6	+	32289.0i	−1.22657	+	1.53807i	−0.754149	+	0.656704i	$0.771950\pi$
$762$	449.558	+	1969.64i	0.0213724	+	0.0936386i
$763$	2432.32	+	10656.7i	0.115407	+	0.505633i
$764$	8942.24	+	11213.2i	0.423454	+	0.530995i
$765$	670.314	−	2936.84i	0.0316801	−	0.138799i
$766$	−17654.2			−0.832730
$767$	4438.62	−	19446.9i	0.208956	−	0.915496i
$768$	292.727	−	140.970i	0.0137537	−	0.00662345i
$769$	19546.8	−	9413.24i	0.916613	−	0.441418i	0.0847524	−	0.996402i	$-0.472990\pi$
$769$	19546.8	−	9413.24i	0.916613	−	0.441418i	0.831861	+	0.554984i	$0.187276\pi$
$770$	523.469	−	2293.47i	0.0244994	−	0.107339i
$771$	−2050.41			−0.0957767
$772$	3204.85	−	14041.4i	0.149411	−	0.654610i
$773$	901.069	+	1129.90i	0.0419265	+	0.0525742i	0.802353	−	0.596850i	$-0.203581\pi$
$773$	901.069	+	1129.90i	0.0419265	+	0.0525742i	−0.760426	+	0.649424i	$0.775010\pi$
$774$	4479.74	+	19627.0i	0.208037	+	0.911471i
$775$	−3012.04	−	13196.6i	−0.139607	−	0.611660i
$776$	−1517.94	+	1903.44i	−0.0702203	+	0.0880535i
$777$	3392.58	−	1633.78i	0.156638	−	0.0754330i
$778$	−9462.99	−	4557.14i	−0.436073	−	0.210002i
$779$	−14252.1	−	17871.6i	−0.655502	−	0.821974i
$780$	−653.782	+	819.816i	−0.0300117	+	0.0376335i
$781$	13048.8	+	6283.97i	0.597852	+	0.287911i
$782$	2594.30			0.118634
$783$	−9998.95	+	2800.38i	−0.456365	+	0.127813i
$784$	765.605			0.0348763
$785$	−8141.76	−	3920.87i	−0.370181	−	0.178270i
$786$	2962.39	−	3714.72i	0.134434	−	0.168575i
$787$	17830.3	+	22358.5i	0.807602	+	1.01270i	0.999510	+	0.0312882i	$0.00996096\pi$
$787$	17830.3	+	22358.5i	0.807602	+	1.01270i	−0.191908	+	0.981413i	$0.561468\pi$
$788$	−18749.1	−	9029.08i	−0.847599	−	0.408182i
$789$	417.950	−	201.274i	0.0188586	−	0.00908181i
$790$	−3607.00	+	4523.03i	−0.162444	+	0.203699i
$791$	−9106.32	−	39897.4i	−0.409334	−	1.79341i
$792$	859.888	+	3767.42i	0.0385793	+	0.169027i
$793$	−978.840	−	1227.43i	−0.0438331	−	0.0549649i
$794$	−3744.45	+	16405.5i	−0.167362	+	0.733261i
$795$	1941.22			0.0866013
$796$	−4177.98	+	18304.9i	−0.186036	+	0.815077i
$797$	25598.2	−	12327.5i	1.13769	−	0.547881i	0.232373	−	0.972627i	$-0.425351\pi$
$797$	25598.2	−	12327.5i	1.13769	−	0.547881i	0.905313	+	0.424746i	$0.139637\pi$
$798$	3792.36	−	1826.31i	0.168231	−	0.0810157i
$799$	−936.146	+	4101.52i	−0.0414499	+	0.181604i
$800$	−3687.06			−0.162947
$801$	−4271.58	+	18715.0i	−0.188426	+	0.825547i
$802$	−11467.3	−	14379.5i	−0.504893	−	0.633116i
$803$	3010.24	+	13188.7i	0.132290	+	0.579602i
$804$	8.82557	+	38.6674i	0.000387132	+	0.00169613i
$805$	−1317.88	+	1652.56i	−0.0577006	+	0.0723543i
$806$	13982.2	−	6733.48i	0.611046	−	0.294264i
$807$	2073.48	+	998.537i	0.0904462	+	0.0435566i
$808$	−6406.47	−	8033.46i	−0.278934	−	0.349772i
$809$	26591.5	−	33344.6i	1.15563	−	1.44912i	0.284087	−	0.958798i	$-0.408309\pi$
$809$	26591.5	−	33344.6i	1.15563	−	1.44912i	0.871544	−	0.490317i	$-0.163119\pi$
$810$	−3387.33	−	1631.25i	−0.146937	−	0.0707610i
$811$	15343.3			0.664334			0.332167	−	0.943221i	$-0.392220\pi$
$811$	15343.3			0.664334			0.332167	+	0.943221i	$0.392220\pi$
$812$	−9269.46	+	8160.66i	−0.400609	+	0.352688i
$813$	2633.13			0.113589
$814$	5144.85	+	2477.63i	0.221532	+	0.106684i
$815$	−5793.62	+	7264.98i	−0.249008	+	0.312247i
$816$	−480.359	−	602.351i	−0.0206078	−	0.0258413i
$817$	29961.5	+	14428.7i	1.28301	+	0.617866i
$818$	−6647.38	+	3201.21i	−0.284132	+	0.136831i
$819$	20671.0	−	25920.6i	0.881934	−	1.10591i
$820$	−758.548	−	3323.42i	−0.0323044	−	0.141535i
$821$	−2805.28	−	12290.7i	−0.119251	−	0.522472i	−0.998902	−	0.0468524i	$-0.985081\pi$
$821$	−2805.28	−	12290.7i	−0.119251	−	0.522472i	0.879651	−	0.475620i	$-0.157776\pi$
$822$	1508.90	+	1892.10i	0.0640253	+	0.0802852i
$823$	7882.18	−	34534.1i	0.333846	−	1.46268i	−0.477770	−	0.878485i	$-0.658555\pi$
$823$	7882.18	−	34534.1i	0.333846	−	1.46268i	0.811616	−	0.584191i	$-0.198588\pi$
$824$	12009.9			0.507748
$825$	−619.078	+	2712.36i	−0.0261255	+	0.114463i
$826$	−10758.3	+	5180.94i	−0.453184	+	0.218242i
$827$	−4066.71	+	1958.43i	−0.170996	+	0.0823472i	−0.517424	−	0.855729i	$-0.673109\pi$
$827$	−4066.71	+	1958.43i	−0.170996	+	0.0823472i	0.346428	+	0.938077i	$0.387395\pi$
$828$	772.622	−	3385.08i	0.0324281	−	0.142077i
$829$	−17170.1			−0.719352			−0.359676	−	0.933077i	$-0.617113\pi$
$829$	−17170.1			−0.719352			−0.359676	+	0.933077i	$0.617113\pi$
$830$	−8.55192	+	37.4684i	−0.000357641	+	0.00156693i
$831$	−2686.97	−	3369.35i	−0.112166	−	0.140652i
$832$	−940.650	−	4121.26i	−0.0391961	−	0.171729i
$833$	−403.980	−	1769.95i	−0.0168032	−	0.0736196i
$834$	−2543.91	+	3189.96i	−0.105621	+	0.132445i
$835$	−4011.41	+	1931.79i	−0.166252	+	0.0800629i
$836$	5751.13	+	2769.60i	0.237927	+	0.114580i
$837$	−4870.16	−	6106.99i	−0.201120	−	0.252197i
$838$	12474.3	−	15642.2i	0.514220	−	0.644812i
$839$	−12763.3	−	6146.47i	−0.525193	−	0.252920i	0.152449	−	0.988311i	$-0.451284\pi$
$839$	−12763.3	−	6146.47i	−0.525193	−	0.252920i	−0.677642	+	0.735392i	$0.736998\pi$
$840$	627.714			0.0257835
$841$	3090.46	−	24192.4i	0.126715	−	0.991939i
$842$	−4366.95			−0.178735
$843$	7176.31	+	3455.93i	0.293197	+	0.141196i
$844$	−7662.65	+	9608.66i	−0.312511	+	0.391876i
$845$	4222.59	+	5294.96i	0.171907	+	0.215565i
$846$	5072.93	+	2442.99i	0.206159	+	0.0992811i
$847$	−17260.6	+	8312.27i	−0.700214	+	0.337205i
$848$	−4879.31	+	6118.46i	−0.197590	+	0.247770i
$849$	2565.50	+	11240.2i	0.103708	+	0.454372i
$850$	1945.52	+	8523.87i	0.0785067	+	0.343960i
$851$	−3199.02	−	4011.45i	−0.128861	−	0.161587i
$852$	−859.950	+	3767.69i	−0.0345791	+	0.151501i
$853$	−11765.3			−0.472258			−0.236129	−	0.971722i	$-0.575879\pi$
$853$	−11765.3			−0.472258			−0.236129	+	0.971722i	$0.575879\pi$
$854$	−209.128	+	916.248i	−0.00837962	+	0.0367135i
$855$	−6000.20	+	2889.54i	−0.240003	+	0.115579i
$856$	−1287.53	+	620.041i	−0.0514098	+	0.0247577i
$857$	9973.42	−	43696.4i	0.397533	−	1.74170i	−0.239527	−	0.970890i	$-0.576993\pi$
$857$	9973.42	−	43696.4i	0.397533	−	1.74170i	0.637060	−	0.770814i	$-0.280150\pi$
$858$	−3189.71			−0.126917
$859$	−378.934	+	1660.22i	−0.0150513	+	0.0659441i	−0.981896	−	0.189422i	$-0.939339\pi$
$859$	−378.934	+	1660.22i	−0.0150513	+	0.0659441i	0.966845	+	0.255366i	$0.0821959\pi$
$860$	3092.04	+	3877.29i	0.122602	+	0.153738i
$861$	−1521.55	−	6666.37i	−0.0602258	−	0.263867i
$862$	3108.80	+	13620.5i	0.122838	+	0.538187i
$863$	−19844.3	+	24883.9i	−0.782743	+	0.981529i	0.217242	+	0.976118i	$0.430294\pi$
$863$	−19844.3	+	24883.9i	−0.782743	+	0.981529i	−0.999985	+	0.00541109i	$0.998278\pi$
$864$	−1916.97	+	923.163i	−0.0754821	+	0.0363503i
$865$	7472.25	+	3598.44i	0.293716	+	0.141446i
$866$	13705.0	+	17185.5i	0.537776	+	0.674350i
$867$	2748.60	−	3446.63i	0.107667	−	0.135010i
$868$	−8370.17	−	4030.86i	−0.327307	−	0.157623i
$869$	−17598.0			−0.686965
$870$	−930.434	+	819.136i	−0.0362582	+	0.0319211i
$871$	516.032			0.0200747
$872$	−3985.15	−	1919.15i	−0.154764	−	0.0745304i
$873$	4817.43	−	6040.87i	0.186764	−	0.234195i
$874$	−3576.00	−	4484.17i	−0.138398	−	0.173546i
$875$	−13380.7	−	6443.81i	−0.516972	−	0.248960i
$876$	−3252.24	+	1566.20i	−0.125437	+	0.0604073i
$877$	9870.96	−	12377.8i	0.380067	−	0.476589i	−0.554598	−	0.832118i	$-0.687128\pi$
$877$	9870.96	−	12377.8i	0.380067	−	0.476589i	0.934665	+	0.355530i	$0.115699\pi$
$878$	−3328.00	−	14580.9i	−0.127921	−	0.560458i
$879$	93.2881	+	408.722i	0.00357967	+	0.0156835i
$880$	593.518	+	744.248i	0.0227358	+	0.0285098i
$881$	−8867.12	+	38849.4i	−0.339093	+	1.48566i	0.461869	+	0.886948i	$0.347179\pi$
$881$	−8867.12	+	38849.4i	−0.339093	+	1.48566i	−0.800962	+	0.598715i	$0.795678\pi$
$882$	−2429.77			−0.0927602
$883$	−3276.07	+	14353.4i	−0.124857	+	0.547034i	0.873346	+	0.487101i	$0.161946\pi$
$883$	−3276.07	+	14353.4i	−0.124857	+	0.547034i	−0.998202	+	0.0599326i	$0.980911\pi$
$884$	−9031.31	+	4349.25i	−0.343615	+	0.165476i
$885$	−1079.88	+	520.043i	−0.0410167	+	0.0197526i
$886$	−1319.58	+	5781.46i	−0.0500363	+	0.219224i
$887$	−30788.0			−1.16546			−0.582728	−	0.812667i	$-0.698015\pi$
$887$	−30788.0			−1.16546			−0.582728	+	0.812667i	$0.698015\pi$
$888$	−339.059	+	1485.52i	−0.0128132	+	0.0561381i
$889$	−9810.85	−	12302.4i	−0.370130	−	0.464128i
$890$	1052.26	+	4610.24i	0.0396312	+	0.173636i
$891$	−2544.88	−	11149.8i	−0.0956863	−	0.419229i
$892$	−10247.2	+	12849.6i	−0.384644	+	0.482329i
$893$	8379.75	−	4035.47i	0.314017	−	0.151223i
$894$	−5923.04	−	2852.39i	−0.221584	−	0.106709i
$895$	6597.59	+	8273.11i	0.246406	+	0.308983i
$896$	−1577.77	+	1978.46i	−0.0588278	+	0.0737677i
$897$	2582.18	+	1243.51i	0.0961164	+	0.0462872i
$898$	11735.6			0.436106
$899$	17666.8	−	4947.90i	0.655419	−	0.183561i
$900$	11701.5			0.433388
$901$	16719.5	+	8051.67i	0.618209	+	0.297714i
$902$	6465.31	−	8107.24i	0.238660	−	0.299270i
$903$	6202.25	+	7777.37i	0.228569	+	0.286617i
$904$	14919.9	+	7185.06i	0.548926	+	0.264349i
$905$	−2513.09	+	1210.24i	−0.0923071	+	0.0444528i
$906$	5395.64	−	6765.92i	0.197857	−	0.248104i
$907$	1307.11	+	5726.83i	0.0478522	+	0.209654i	0.993202	−	0.116404i	$-0.0371367\pi$
$907$	1307.11	+	5726.83i	0.0478522	+	0.209654i	−0.945350	+	0.326058i	$0.894280\pi$
$908$	−1849.70	−	8104.07i	−0.0676041	−	0.296193i
$909$	20331.9	+	25495.4i	0.741879	+	0.930286i
$910$	1817.34	−	7962.30i	0.0662025	−	0.290052i
$911$	20818.6			0.757134			0.378567	−	0.925574i	$-0.376417\pi$
$911$	20818.6			0.757134			0.378567	+	0.925574i	$0.376417\pi$
$912$	−379.015	+	1660.57i	−0.0137614	+	0.0602928i
$913$	−105.330	+	50.7241i	−0.00381807	+	0.00183869i
$914$	−27255.0	+	13125.3i	−0.986340	+	0.474997i
$915$	−20.9914	+	91.9695i	−0.000758422	+	0.00332286i
$916$	−23440.3			−0.845514
$917$	−8234.68	+	36078.5i	−0.296546	+	1.29925i
$918$	3145.71	+	3944.59i	0.113098	+	0.141820i
$919$	4098.31	+	17955.9i	0.147107	+	0.644516i	0.993681	+	0.112245i	$0.0358041\pi$
$919$	4098.31	+	17955.9i	0.147107	+	0.644516i	−0.846574	+	0.532271i	$0.821339\pi$
$920$	−190.327	−	833.877i	−0.00682054	−	0.0298827i
$921$	−582.736	+	730.728i	−0.0208489	+	0.0261436i
$922$	−7224.96	+	3479.36i	−0.258071	+	0.124280i
$923$	45301.9	+	21816.2i	1.61553	+	0.777996i
$924$	1190.53	+	1492.87i	0.0423868	+	0.0531514i
$925$	10781.1	−	13519.0i	0.383221	−	0.480544i
$926$	28792.4	+	13865.7i	1.02179	+	0.492067i
$927$	−38115.2			−1.35045
$928$	−243.135	−	4991.51i	−0.00860055	−	0.176567i
$929$	9749.11			0.344303			0.172152	−	0.985070i	$-0.444928\pi$
$929$	9749.11			0.344303			0.172152	+	0.985070i	$0.444928\pi$
$930$	−840.166	−	404.603i	−0.0296238	−	0.0142661i
$931$	−2502.46	+	3137.98i	−0.0880931	+	0.110465i
$932$	−5475.66	−	6866.26i	−0.192448	−	0.241322i
$933$	−10940.9	−	5268.88i	−0.383913	−	0.184883i
$934$	−20818.5	+	10025.7i	−0.729340	+	0.351231i
$935$	1407.40	−	1764.82i	0.0492267	−	0.0617283i
$936$	2985.30	+	13079.5i	0.104250	+	0.456747i
$937$	1881.15	+	8241.84i	0.0655863	+	0.287352i	0.997076	−	0.0764151i	$-0.0243474\pi$
$937$	1881.15	+	8241.84i	0.0655863	+	0.287352i	−0.931490	+	0.363768i	$0.881490\pi$
$938$	−192.603	−	241.517i	−0.00670439	−	0.00840704i
$939$	−347.025	+	1520.42i	−0.0120604	+	0.0528401i
$940$	1387.02			0.0481272
$941$	3846.10	−	16850.9i	0.133241	−	0.583765i	−0.863589	−	0.504197i	$-0.831789\pi$
$941$	3846.10	−	16850.9i	0.133241	−	0.583765i	0.996829	−	0.0795683i	$-0.0253542\pi$
$942$	6608.58	−	3182.52i	0.228576	−	0.110077i
$943$	−8394.50	+	4042.58i	−0.289886	+	0.139602i
$944$	1075.20	−	4710.77i	0.0370709	−	0.162418i
$945$	−4110.68			−0.141503
$946$	−3356.87	+	14707.4i	−0.115371	+	0.505474i
$947$	2925.61	+	3668.60i	0.100390	+	0.125886i	0.829489	−	0.558523i	$-0.188632\pi$
$947$	2925.61	+	3668.60i	0.100390	+	0.125886i	−0.729099	+	0.684409i	$0.760060\pi$
$948$	−1044.90	−	4578.02i	−0.0357984	−	0.156843i
$949$	10450.8	+	45787.8i	0.357477	+	1.56621i
$950$	12051.5	−	15112.1i	0.411582	−	0.516108i
$951$	−7026.62	+	3383.84i	−0.239594	+	0.115382i
$952$	5406.41	+	2603.59i	0.184057	+	0.0886374i
$953$	16243.7	+	20369.0i	0.552136	+	0.692357i	0.977082	−	0.212862i	$-0.0682784\pi$
$953$	16243.7	+	20369.0i	0.552136	+	0.692357i	−0.424946	+	0.905219i	$0.639707\pi$
$954$	15485.2	−	19417.9i	0.525528	−	0.658991i
$955$	−10102.3	−	4865.01i	−0.342307	−	0.164846i
$956$	−9923.97			−0.335737
$957$	−3712.79	−	659.242i	−0.125410	−	0.0222678i
$958$	−22614.4			−0.762670
$959$	−16982.5	−	8178.35i	−0.571840	−	0.275383i
$960$	−158.371	+	198.591i	−0.00532438	+	0.00667656i
$961$	−9969.45	−	12501.3i	−0.334646	−	0.419633i
$962$	17861.5	+	8601.66i	0.598627	+	0.288283i
$963$	4086.17	−	1967.80i	0.136734	−	0.0658477i
$964$	−11176.6	+	14015.0i	−0.373417	+	0.468250i
$965$	2505.54	+	10977.5i	0.0835814	+	0.366194i
$966$	−381.773	−	1672.66i	−0.0127157	−	0.0557110i
$967$	−18466.8	−	23156.6i	−0.614117	−	0.770078i	0.373387	−	0.927676i	$-0.378197\pi$
$967$	−18466.8	−	23156.6i	−0.614117	−	0.770078i	−0.987503	+	0.157598i	$0.949625\pi$
$968$	1725.05	−	7557.94i	0.0572781	−	0.250952i
$969$	4038.95			0.133901
$970$	423.536	−	1855.63i	0.0140195	−	0.0614235i
$971$	−43957.8	+	21169.0i	−1.45280	+	0.699633i	−0.983079	−	0.183180i	$-0.941361\pi$
$971$	−43957.8	+	21169.0i	−1.45280	+	0.699633i	−0.469724	+	0.882813i	$0.655647\pi$
$972$	9219.22	−	4439.74i	0.304225	−	0.146507i
$973$	7071.40	−	30981.8i	0.232989	−	1.02079i
$974$	4800.33			0.157918
$975$	−2149.27	+	9416.58i	−0.0705967	+	0.309304i
$976$	−237.113	−	297.330i	−0.00777642	−	0.00975132i
$977$	−2166.53	−	9492.18i	−0.0709451	−	0.310831i	0.926988	−	0.375091i	$-0.122388\pi$
$977$	−2166.53	−	9492.18i	−0.0709451	−	0.310831i	−0.997933	+	0.0642600i	$0.979531\pi$
$978$	−1678.35	−	7353.31i	−0.0548748	−	0.240422i
$979$	−8968.68	+	11246.4i	−0.292789	+	0.367145i
$980$	−539.272	+	259.700i	−0.0175780	+	0.00846511i
$981$	12647.5	+	6090.71i	0.411624	+	0.198228i
$982$	−4581.23	−	5744.69i	−0.148873	−	0.186681i
$983$	−5940.62	+	7449.30i	−0.192753	+	0.241705i	−0.868811	−	0.495144i	$-0.835115\pi$
$983$	−5940.62	+	7449.30i	−0.192753	+	0.241705i	0.676058	+	0.736848i	$0.263687\pi$
$984$	2492.94	+	1200.53i	0.0807641	+	0.0388940i
$985$	16269.1			0.526271
$986$	−11411.3	+	3195.91i	−0.368568	+	0.103224i
$987$	2782.19			0.0897245
$988$	19966.4	+	9615.30i	0.642930	+	0.309619i
$989$	8451.18	−	10597.4i	0.271721	−	0.340727i
$990$	−1883.62	−	2361.99i	−0.0604702	−	0.0758272i
$991$	−13683.6	−	6589.68i	−0.438622	−	0.211229i	0.201522	−	0.979484i	$-0.435411\pi$
$991$	−13683.6	−	6589.68i	−0.438622	−	0.211229i	−0.640144	+	0.768255i	$0.721125\pi$
$992$	3387.03	−	1631.11i	0.108406	−	0.0522054i
$993$	3255.80	−	4082.64i	0.104048	−	0.130472i
$994$	−6697.85	−	29345.2i	−0.213725	−	0.936392i
$995$	−3266.33	−	14310.7i	−0.104070	−	0.455961i
$996$	−19.4496	−	24.3891i	−0.000618761	−	0.000775901i
$997$	−10369.5	+	45431.6i	−0.329392	+	1.44316i	0.490899	+	0.871216i	$0.336668\pi$
$997$	−10369.5	+	45431.6i	−0.329392	+	1.44316i	−0.820292	+	0.571946i	$0.806189\pi$
$998$	39888.8			1.26519
$999$	2220.38	−	9728.13i	0.0703201	−	0.308092i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	58.4.d.b.45.2	✓	24
29.7	even	7		1682.4.a.t.1.6		12
29.20	even	7	inner	58.4.d.b.49.2	yes	24
29.22	even	14		1682.4.a.q.1.7		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
58.4.d.b.45.2	✓	24	1.1	even	1	trivial
58.4.d.b.49.2	yes	24	29.20	even	7	inner
1682.4.a.q.1.7		12	29.22	even	14
1682.4.a.t.1.6		12	29.7	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+(-1.80194 - 0.867767i) q^{2} +(-0.791302 + 0.992261i) q^{3} +(2.49396 + 3.12733i) q^{4} +(-2.81750 - 1.35683i) q^{5} +(2.28693 - 1.10133i) q^{6} +(-12.3264 + 15.4568i) q^{7} +(-1.78017 - 7.79942i) q^{8} +(5.64964 + 24.7527i) q^{9} +(3.89953 + 4.88986i) q^{10} +(-4.23352 + 18.5483i) q^{11} -5.07660 q^{12} +(-14.6977 + 64.3946i) q^{13} +(35.6242 - 17.1557i) q^{14} +(3.57582 - 1.72203i) q^{15} +(-3.56033 + 15.5988i) q^{16} +37.9406 q^{17} +(11.2993 - 49.5054i) q^{18} +(-52.2976 - 65.5791i) q^{19} +(-2.78346 - 12.1951i) q^{20} +(-5.58327 - 24.4619i) q^{21} +(23.7241 - 29.7491i) q^{22} +(-30.8032 + 14.8340i) q^{23} +(9.14771 + 4.40531i) q^{24} +(-71.8389 - 90.0832i) q^{25} +(82.3638 - 103.281i) q^{26} +(-59.9052 - 28.8488i) q^{27} -79.0797 q^{28} +(117.217 - 103.195i) q^{29} -7.93773 q^{30} +(105.845 + 50.9721i) q^{31} +(19.9517 - 25.0186i) q^{32} +(-15.0547 - 18.8781i) q^{33} +(-68.3665 - 32.9236i) q^{34} +(55.7017 - 26.8245i) q^{35} +(-63.3198 + 79.4005i) q^{36} +(33.3943 + 146.310i) q^{37} +(37.3296 + 163.552i) q^{38} +(-52.2660 - 65.5395i) q^{39} +(-5.56691 + 24.3902i) q^{40} +272.520 q^{41} +(-11.1665 + 48.9238i) q^{42} +(-357.200 + 172.019i) q^{43} +(-68.5648 + 33.0191i) q^{44} +(17.6675 - 77.4062i) q^{45} +68.3780 q^{46} +(-24.6740 + 108.104i) q^{47} +(-12.6608 - 15.8762i) q^{48} +(-10.6477 - 46.6506i) q^{49} +(51.2780 + 224.664i) q^{50} +(-30.0224 + 37.6469i) q^{51} +(-238.038 + 114.633i) q^{52} +(440.675 + 212.218i) q^{53} +(82.9114 + 103.968i) q^{54} +(37.0949 - 46.5155i) q^{55} +(142.497 + 68.6228i) q^{56} +106.455 q^{57} +(-300.767 + 84.2347i) q^{58} -301.995 q^{59} +(14.3033 + 6.88810i) q^{60} +(-14.8195 + 18.5831i) q^{61} +(-146.494 - 183.697i) q^{62} +(-452.236 - 217.785i) q^{63} +(-57.6620 + 27.7686i) q^{64} +(128.783 - 161.489i) q^{65} +(10.7460 + 47.0811i) q^{66} +(-1.73848 - 7.61678i) q^{67} +(94.6222 + 118.653i) q^{68} +(9.65539 - 42.3030i) q^{69} -123.648 q^{70} +(169.395 - 742.168i) q^{71} +(182.999 - 88.1279i) q^{72} +(640.633 - 308.513i) q^{73} +(66.7886 - 292.620i) q^{74} +146.232 q^{75} +(74.6592 - 327.103i) q^{76} +(-234.512 - 294.069i) q^{77} +(37.3070 + 163.453i) q^{78} +(205.828 + 901.790i) q^{79} +(31.1963 - 39.1189i) q^{80} +(-541.594 + 260.818i) q^{81} +(-491.064 - 236.484i) q^{82} +(3.83124 + 4.80422i) q^{83} +(62.5759 - 78.4677i) q^{84} +(-106.897 - 51.4791i) q^{85} +792.924 q^{86} +(9.64297 + 197.968i) q^{87} +152.202 q^{88} +(681.205 + 328.051i) q^{89} +(-99.0063 + 124.150i) q^{90} +(-814.164 - 1020.93i) q^{91} +(-123.213 - 59.3362i) q^{92} +(-134.333 + 64.6912i) q^{93} +(138.270 - 173.385i) q^{94} +(58.3682 + 255.728i) q^{95} +(9.03720 + 39.5945i) q^{96} +(-189.743 - 237.930i) q^{97} +(-21.2954 + 93.3012i) q^{98} -483.038 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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