LMFDB - Embedded newform 99.2.m.b.25.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(4,99)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([10, 6]))

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

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

chi := DirichletCharacter("99.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.m (of order $15$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$9$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			25.6
Character	$\chi$	$=$	99.25
Dual form			99.2.m.b.4.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0694404 + 0.660681i) q^{2} +(-0.106925 + 1.72875i) q^{3} +(1.52462 - 0.324067i) q^{4} +(-0.116719 + 1.11051i) q^{5} +(-1.14958 + 0.0494014i) q^{6} +(-2.61265 - 2.90164i) q^{7} +(0.730548 + 2.24840i) q^{8} +(-2.97713 - 0.369694i) q^{9} -0.741796 q^{10} +(3.27403 + 0.529836i) q^{11} +(0.397211 + 2.67033i) q^{12} +(2.44648 + 1.08924i) q^{13} +(1.73564 - 1.92762i) q^{14} +(-1.90730 - 0.320519i) q^{15} +(1.41310 - 0.629154i) q^{16} +(-4.48727 - 3.26019i) q^{17} +(0.0375162 - 1.99261i) q^{18} +(-1.58598 - 4.88115i) q^{19} +(0.181927 + 1.73092i) q^{20} +(5.29556 - 4.20635i) q^{21} +(-0.122703 + 2.19988i) q^{22} +(-1.05719 - 1.83110i) q^{23} +(-3.96502 + 1.02252i) q^{24} +(3.67114 + 0.780324i) q^{25} +(-0.549758 + 1.69198i) q^{26} +(0.957438 - 5.10718i) q^{27} +(-4.92362 - 3.57722i) q^{28} +(0.724696 + 0.804856i) q^{29} +(0.0793167 - 1.28238i) q^{30} +(-0.392973 - 0.174963i) q^{31} +(2.87790 + 4.98467i) q^{32} +(-1.26603 + 5.60332i) q^{33} +(1.84235 - 3.19104i) q^{34} +(3.52724 - 2.56269i) q^{35} +(-4.65880 + 0.401151i) q^{36} +(-2.69024 + 8.27970i) q^{37} +(3.11475 - 1.38678i) q^{38} +(-2.14462 + 4.11288i) q^{39} +(-2.58213 + 0.548848i) q^{40} +(-1.95324 + 2.16930i) q^{41} +(3.14678 + 3.20659i) q^{42} +(1.11628 - 1.93346i) q^{43} +(5.16335 - 0.253209i) q^{44} +(0.758035 - 3.26298i) q^{45} +(1.13637 - 0.825618i) q^{46} +(-12.5550 - 2.66864i) q^{47} +(0.936552 + 2.51017i) q^{48} +(-0.861884 + 8.20028i) q^{49} +(-0.260620 + 2.47964i) q^{50} +(6.11585 - 7.40876i) q^{51} +(4.08293 + 0.867854i) q^{52} +(-4.56381 + 3.31581i) q^{53} +(3.44070 + 0.277916i) q^{54} +(-0.970527 + 3.57399i) q^{55} +(4.61537 - 7.99405i) q^{56} +(8.60785 - 2.21984i) q^{57} +(-0.481430 + 0.534682i) q^{58} +(2.32346 - 0.493867i) q^{59} +(-3.01178 + 0.129427i) q^{60} +(-3.73133 + 1.66130i) q^{61} +(0.0883065 - 0.271779i) q^{62} +(6.70549 + 9.60445i) q^{63} +(-0.590604 + 0.429099i) q^{64} +(-1.49516 + 2.58969i) q^{65} +(-3.78992 - 0.447345i) q^{66} +(4.87584 + 8.44521i) q^{67} +(-7.89789 - 3.51637i) q^{68} +(3.27856 - 1.63182i) q^{69} +(1.93805 + 2.15242i) q^{70} +(-5.11062 - 3.71308i) q^{71} +(-1.34372 - 6.96385i) q^{72} +(-3.60705 + 11.1014i) q^{73} +(-5.65706 - 1.20244i) q^{74} +(-1.74152 + 6.26303i) q^{75} +(-3.99983 - 6.92792i) q^{76} +(-7.01650 - 10.8843i) q^{77} +(-2.86622 - 1.13131i) q^{78} +(-0.471916 - 4.48998i) q^{79} +(0.533744 + 1.64269i) q^{80} +(8.72665 + 2.20125i) q^{81} +(-1.56885 - 1.13983i) q^{82} +(0.440332 - 0.196049i) q^{83} +(6.71056 - 8.12919i) q^{84} +(4.14421 - 4.60261i) q^{85} +(1.35492 + 0.603248i) q^{86} +(-1.46888 + 1.16676i) q^{87} +(1.20056 + 7.74839i) q^{88} +16.0830 q^{89} +(2.20843 + 0.274237i) q^{90} +(-3.23120 - 9.94461i) q^{91} +(-2.20521 - 2.44913i) q^{92} +(0.344485 - 0.660643i) q^{93} +(0.891300 - 8.48015i) q^{94} +(5.60566 - 1.19152i) q^{95} +(-8.92495 + 4.44217i) q^{96} +(-0.837864 - 7.97174i) q^{97} -5.47762 q^{98} +(-9.55135 - 2.78778i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) $ 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.0694404	+	0.660681i	0.0491018	+	0.467172i	0.991252	+	0.131982i	$0.0421340\pi$
$2$	0.0694404	+	0.660681i	0.0491018	+	0.467172i	−0.942150	+	0.335191i	$0.891199\pi$
$3$	−0.106925	+	1.72875i	−0.0617333	+	0.998093i
$3$	−0.106925	+	1.72875i	−0.0617333	+	0.998093i
$4$	1.52462	−	0.324067i	0.762309	−	0.162034i
$5$	−0.116719	+	1.11051i	−0.0521983	+	0.496634i	0.936923	+	0.349535i	$0.113660\pi$
$5$	−0.116719	+	1.11051i	−0.0521983	+	0.496634i	−0.989122	+	0.147099i	$0.953006\pi$
$6$	−1.14958	+	0.0494014i	−0.469312	+	0.0201680i
$7$	−2.61265	−	2.90164i	−0.987488	−	1.09672i	−0.995309	−	0.0967475i	$-0.969156\pi$
$7$	−2.61265	−	2.90164i	−0.987488	−	1.09672i	0.00782061	−	0.999969i	$-0.497511\pi$
$8$	0.730548	+	2.24840i	0.258288	+	0.794928i
$9$	−2.97713	−	0.369694i	−0.992378	−	0.123231i
$10$	−0.741796			−0.234576
$11$	3.27403	+	0.529836i	0.987157	+	0.159752i
$11$	3.27403	+	0.529836i	0.987157	+	0.159752i
$12$	0.397211	+	2.67033i	0.114665	+	0.770858i
$13$	2.44648	+	1.08924i	0.678531	+	0.302101i	0.716914	−	0.697162i	$-0.245554\pi$
$13$	2.44648	+	1.08924i	0.678531	+	0.302101i	−0.0383829	+	0.999263i	$0.512221\pi$
$14$	1.73564	−	1.92762i	0.463868	−	0.515178i
$15$	−1.90730	−	0.320519i	−0.492464	−	0.0827576i
$16$	1.41310	−	0.629154i	0.353276	−	0.157289i
$17$	−4.48727	−	3.26019i	−1.08832	−	0.790713i	−0.109207	−	0.994019i	$-0.534831\pi$
$17$	−4.48727	−	3.26019i	−1.08832	−	0.790713i	−0.979115	+	0.203306i	$0.934831\pi$
$18$	0.0375162	−	1.99261i	0.00884266	−	0.469662i
$19$	−1.58598	−	4.88115i	−0.363849	−	1.11981i	−0.950699	−	0.310116i	$-0.899632\pi$
$19$	−1.58598	−	4.88115i	−0.363849	−	1.11981i	0.586850	−	0.809696i	$-0.300368\pi$
$20$	0.181927	+	1.73092i	0.0406802	+	0.387046i
$21$	5.29556	−	4.20635i	1.15559	−	0.917901i
$22$	−0.122703	+	2.19988i	−0.0261603	+	0.469017i
$23$	−1.05719	−	1.83110i	−0.220439	−	0.381812i	0.734502	−	0.678606i	$-0.237416\pi$
$23$	−1.05719	−	1.83110i	−0.220439	−	0.381812i	−0.954941	+	0.296795i	$0.904082\pi$
$24$	−3.96502	+	1.02252i	−0.809357	+	0.208722i
$25$	3.67114	+	0.780324i	0.734227	+	0.156065i
$26$	−0.549758	+	1.69198i	−0.107816	+	0.331825i
$27$	0.957438	−	5.10718i	0.184259	−	0.982878i
$28$	−4.92362	−	3.57722i	−0.930476	−	0.676030i
$29$	0.724696	+	0.804856i	0.134573	+	0.149458i	0.806664	−	0.591010i	$-0.201271\pi$
$29$	0.724696	+	0.804856i	0.134573	+	0.149458i	−0.672092	+	0.740468i	$0.734604\pi$
$30$	0.0793167	−	1.28238i	0.0144812	−	0.234129i
$31$	−0.392973	−	0.174963i	−0.0705800	−	0.0314243i	0.371143	−	0.928576i	$-0.378966\pi$
$31$	−0.392973	−	0.174963i	−0.0705800	−	0.0314243i	−0.441723	+	0.897151i	$0.645633\pi$
$32$	2.87790	+	4.98467i	0.508746	+	0.881173i
$33$	−1.26603	+	5.60332i	−0.220387	+	0.975412i
$34$	1.84235	−	3.19104i	0.315960	−	0.547259i
$35$	3.52724	−	2.56269i	0.596212	−	0.433173i
$36$	−4.65880	+	0.401151i	−0.776466	+	0.0668585i
$37$	−2.69024	+	8.27970i	−0.442273	+	1.36118i	0.443175	+	0.896435i	$0.353852\pi$
$37$	−2.69024	+	8.27970i	−0.442273	+	1.36118i	−0.885447	+	0.464740i	$0.846148\pi$
$38$	3.11475	−	1.38678i	0.505279	−	0.224965i
$39$	−2.14462	+	4.11288i	−0.343413	+	0.658587i
$40$	−2.58213	+	0.548848i	−0.408270	+	0.0867805i
$41$	−1.95324	+	2.16930i	−0.305045	+	0.338787i	−0.876104	−	0.482122i	$-0.839866\pi$
$41$	−1.95324	+	2.16930i	−0.305045	+	0.338787i	0.571059	+	0.820909i	$0.306533\pi$
$42$	3.14678	+	3.20659i	0.485559	+	0.494787i
$43$	1.11628	−	1.93346i	0.170232	−	0.294850i	−0.768269	−	0.640127i	$-0.778882\pi$
$43$	1.11628	−	1.93346i	0.170232	−	0.294850i	0.938501	+	0.345277i	$0.112215\pi$
$44$	5.16335	−	0.253209i	0.778404	−	0.0381728i
$45$	0.758035	−	3.26298i	0.113001	−	0.486416i
$46$	1.13637	−	0.825618i	0.167548	−	0.121731i
$47$	−12.5550	−	2.66864i	−1.83133	−	0.389262i	−0.842549	−	0.538619i	$-0.818946\pi$
$47$	−12.5550	−	2.66864i	−1.83133	−	0.389262i	−0.988783	+	0.149357i	$0.952279\pi$
$48$	0.936552	+	2.51017i	0.135180	+	0.362312i
$49$	−0.861884	+	8.20028i	−0.123126	+	1.17147i
$50$	−0.260620	+	2.47964i	−0.0368573	+	0.350674i
$51$	6.11585	−	7.40876i	0.856390	−	1.03743i
$52$	4.08293	+	0.867854i	0.566201	+	0.120350i
$53$	−4.56381	+	3.31581i	−0.626888	+	0.455461i	−0.855321	−	0.518099i	$-0.826640\pi$
$53$	−4.56381	+	3.31581i	−0.626888	+	0.455461i	0.228433	+	0.973560i	$0.426640\pi$
$54$	3.44070	+	0.277916i	0.468221	+	0.0378196i
$55$	−0.970527	+	3.57399i	−0.130866	+	0.481917i
$56$	4.61537	−	7.99405i	0.616755	−	1.06825i
$57$	8.60785	−	2.21984i	1.14014	−	0.294025i
$58$	−0.481430	+	0.534682i	−0.0632149	+	0.0702072i
$59$	2.32346	−	0.493867i	0.302489	−	0.0642960i	−0.0541667	−	0.998532i	$-0.517250\pi$
$59$	2.32346	−	0.493867i	0.302489	−	0.0642960i	0.356656	+	0.934236i	$0.383917\pi$
$60$	−3.01178	+	0.129427i	−0.388819	+	0.0167089i
$61$	−3.73133	+	1.66130i	−0.477748	+	0.212707i	−0.631460	−	0.775408i	$-0.717544\pi$
$61$	−3.73133	+	1.66130i	−0.477748	+	0.212707i	0.153712	+	0.988116i	$0.450877\pi$
$62$	0.0883065	−	0.271779i	0.0112149	−	0.0345160i
$63$	6.70549	+	9.60445i	0.844812	+	1.21005i
$64$	−0.590604	+	0.429099i	−0.0738255	+	0.0536374i
$65$	−1.49516	+	2.58969i	−0.185452	+	0.321212i
$66$	−3.78992	−	0.447345i	−0.466507	−	0.0550644i
$67$	4.87584	+	8.44521i	0.595679	+	1.03175i	0.993451	+	0.114262i	$0.0364503\pi$
$67$	4.87584	+	8.44521i	0.595679	+	1.03175i	−0.397772	+	0.917484i	$0.630216\pi$
$68$	−7.89789	−	3.51637i	−0.957760	−	0.426422i
$69$	3.27856	−	1.63182i	0.394692	−	0.196448i
$70$	1.93805	+	2.15242i	0.231641	+	0.257264i
$71$	−5.11062	−	3.71308i	−0.606519	−	0.440662i	0.241668	−	0.970359i	$-0.422306\pi$
$71$	−5.11062	−	3.71308i	−0.606519	−	0.440662i	−0.848187	+	0.529697i	$0.822306\pi$
$72$	−1.34372	−	6.96385i	−0.158359	−	0.820698i
$73$	−3.60705	+	11.1014i	−0.422174	+	1.29932i	0.483501	+	0.875344i	$0.339365\pi$
$73$	−3.60705	+	11.1014i	−0.422174	+	1.29932i	−0.905675	+	0.423973i	$0.860635\pi$
$74$	−5.65706	−	1.20244i	−0.657620	−	0.139781i
$75$	−1.74152	+	6.26303i	−0.201093	+	0.723193i
$76$	−3.99983	−	6.92792i	−0.458812	−	0.794686i
$77$	−7.01650	−	10.8843i	−0.799604	−	1.24038i
$78$	−2.86622	−	1.13131i	−0.324536	−	0.128095i
$79$	−0.471916	−	4.48998i	−0.0530946	−	0.505162i	−0.988460	−	0.151480i	$-0.951596\pi$
$79$	−0.471916	−	4.48998i	−0.0530946	−	0.505162i	0.935366	−	0.353682i	$-0.115071\pi$
$80$	0.533744	+	1.64269i	0.0596744	+	0.183659i
$81$	8.72665	+	2.20125i	0.969628	+	0.244584i
$82$	−1.56885	−	1.13983i	−0.173250	−	0.125874i
$83$	0.440332	−	0.196049i	0.0483327	−	0.0215191i	−0.382428	−	0.923985i	$-0.624912\pi$
$83$	0.440332	−	0.196049i	0.0483327	−	0.0215191i	0.430761	+	0.902466i	$0.358245\pi$
$84$	6.71056	−	8.12919i	0.732182	−	0.886968i
$85$	4.14421	−	4.60261i	0.449503	−	0.499224i
$86$	1.35492	+	0.603248i	0.146104	+	0.0650499i
$87$	−1.46888	+	1.16676i	−0.157481	+	0.125089i
$88$	1.20056	+	7.74839i	0.127980	+	0.825981i
$89$	16.0830			1.70480			0.852399	−	0.522891i	$-0.175147\pi$
$89$	16.0830			1.70480			0.852399	+	0.522891i	$0.175147\pi$
$90$	2.20843	+	0.274237i	0.232788	+	0.0289071i
$91$	−3.23120	−	9.94461i	−0.338722	−	1.04248i
$92$	−2.20521	−	2.44913i	−0.229909	−	0.255340i
$93$	0.344485	−	0.660643i	0.0357215	−	0.0685055i
$94$	0.891300	−	8.48015i	0.0919306	−	0.874661i
$95$	5.60566	−	1.19152i	0.575128	−	0.122247i
$96$	−8.92495	+	4.44217i	−0.910899	+	0.453378i
$97$	−0.837864	−	7.97174i	−0.0850722	−	0.809408i	−0.950990	−	0.309222i	$-0.899932\pi$
$97$	−0.837864	−	7.97174i	−0.0850722	−	0.809408i	0.865918	−	0.500186i	$-0.166735\pi$
$98$	−5.47762			−0.553323
$99$	−9.55135	−	2.78778i	−0.959947	−	0.280182i
$100$	5.84996			0.584996
$101$	−0.184108	−	1.75167i	−0.0183194	−	0.174297i	0.981536	−	0.191275i	$-0.0612622\pi$
$101$	−0.184108	−	1.75167i	−0.0183194	−	0.174297i	−0.999856	+	0.0169777i	$0.994596\pi$
$102$	5.31951	+	3.52616i	0.526710	+	0.349142i
$103$	−2.62893	+	0.558797i	−0.259036	+	0.0550599i	−0.335599	−	0.942005i	$-0.608939\pi$
$103$	−2.62893	+	0.558797i	−0.259036	+	0.0550599i	0.0765627	+	0.997065i	$0.475605\pi$
$104$	−0.661778	+	6.29640i	−0.0648927	+	0.617412i
$105$	4.05309	+	6.37171i	0.395541	+	0.621816i
$106$	−2.50760	−	2.78498i	−0.243560	−	0.270501i
$107$	−3.17558	−	9.77342i	−0.306995	−	0.944833i	−0.978925	−	0.204219i	$-0.934535\pi$
$107$	−3.17558	−	9.77342i	−0.306995	−	0.944833i	0.671931	−	0.740614i	$-0.265465\pi$
$108$	−0.195346	−	8.09677i	−0.0187971	−	0.779112i
$109$	2.36284			0.226319			0.113160	−	0.993577i	$-0.463903\pi$
$109$	2.36284			0.226319			0.113160	+	0.993577i	$0.463903\pi$
$110$	−2.42866	−	0.393030i	−0.231564	−	0.0374739i
$111$	−14.0259	−	5.53605i	−1.33128	−	0.525459i
$112$	−5.51752	−	2.45656i	−0.521357	−	0.232123i
$113$	1.02540	−	1.13882i	0.0964613	−	0.107131i	−0.692981	−	0.720956i	$-0.743703\pi$
$113$	1.02540	−	1.13882i	0.0964613	−	0.107131i	0.789442	+	0.613825i	$0.210370\pi$
$114$	2.06434	+	5.53290i	0.193343	+	0.518203i
$115$	2.15685	−	0.960290i	0.201127	−	0.0895475i
$116$	1.36571	+	0.992247i	0.126803	+	0.0921279i
$117$	−6.88081	−	4.14727i	−0.636131	−	0.383415i
$118$	0.487631	+	1.50077i	0.0448901	+	0.138157i
$119$	2.26375	+	21.5382i	0.207518	+	1.97440i
$120$	−0.672725	−	4.52253i	−0.0614111	−	0.412849i
$121$	10.4385	+	3.46940i	0.948959	+	0.315400i
$122$	−1.35669	−	2.34986i	−0.122829	−	0.212746i
$123$	−3.54131	−	3.60862i	−0.319310	−	0.325378i
$124$	−0.655833	−	0.139402i	−0.0588956	−	0.0125186i
$125$	−3.02032	+	9.29560i	−0.270146	+	0.831424i
$126$	−5.87985	+	5.09713i	−0.523819	+	0.454088i
$127$	6.19006	+	4.49734i	0.549279	+	0.399074i	0.827519	−	0.561437i	$-0.189751\pi$
$127$	6.19006	+	4.49734i	0.549279	+	0.399074i	−0.278241	+	0.960511i	$0.589751\pi$
$128$	7.37825	+	8.19438i	0.652152	+	0.724288i
$129$	3.22311	+	2.13651i	0.283779	+	0.188109i
$130$	−1.81479	−	0.807995i	−0.159167	−	0.0708659i
$131$	2.67956	+	4.64113i	0.234114	+	0.405498i	0.959015	−	0.283356i	$-0.0914477\pi$
$131$	2.67956	+	4.64113i	0.234114	+	0.405498i	−0.724901	+	0.688853i	$0.758114\pi$
$132$	−0.114357	+	8.95319i	−0.00995350	+	0.779276i
$133$	−10.0197	+	17.3547i	−0.868820	+	1.50484i
$134$	−5.24101	+	3.80782i	−0.452754	+	0.328945i
$135$	5.55981	+	1.65935i	0.478512	+	0.142814i
$136$	4.05203	−	12.4709i	0.347459	−	1.06937i
$137$	15.2847	−	6.80519i	1.30586	−	0.581407i	0.368455	−	0.929646i	$-0.379887\pi$
$137$	15.2847	−	6.80519i	1.30586	−	0.581407i	0.937406	+	0.348239i	$0.113220\pi$
$138$	1.30578	+	2.05277i	0.111155	+	0.174743i
$139$	−13.4399	+	2.85673i	−1.13995	+	0.242305i	−0.738943	−	0.673768i	$-0.764675\pi$
$139$	−13.4399	+	2.85673i	−1.13995	+	0.242305i	−0.401011	+	0.916073i	$0.631341\pi$
$140$	4.54720	−	5.05018i	0.384309	−	0.426818i
$141$	5.95586	−	21.4190i	0.501574	−	1.80381i
$142$	2.09828	−	3.63433i	0.176084	−	0.304986i
$143$	7.43273	+	4.86244i	0.621556	+	0.406618i
$144$	−4.43959	+	1.35066i	−0.369966	+	0.112555i
$145$	−0.978384	+	0.710837i	−0.0812503	+	0.0590318i
$146$	−7.58494	−	1.61223i	−0.627734	−	0.133429i
$147$	−14.0841	−	2.36680i	−1.16163	−	0.195210i
$148$	−1.41840	+	13.4952i	−0.116592	+	1.10930i
$149$	−0.581142	+	5.52920i	−0.0476090	+	0.452970i	0.944585	+	0.328267i	$0.106464\pi$
$149$	−0.581142	+	5.52920i	−0.0476090	+	0.452970i	−0.992194	+	0.124703i	$0.960202\pi$
$150$	−4.25880	−	0.715683i	−0.347730	−	0.0584353i
$151$	0.160326	+	0.0340783i	0.0130471	+	0.00277325i	0.214431	−	0.976739i	$-0.431210\pi$
$151$	0.160326	+	0.0340783i	0.0130471	+	0.00277325i	−0.201384	+	0.979512i	$0.564544\pi$
$152$	9.81611	−	7.13182i	0.796192	−	0.578467i
$153$	12.1539	+	11.3649i	0.982587	+	0.918801i
$154$	6.70385	−	5.39148i	0.540211	−	0.434458i
$155$	0.240165	−	0.415978i	0.0192905	−	0.0334121i
$156$	−1.93687	+	6.96556i	−0.155074	+	0.557691i
$157$	15.9608	−	17.7262i	1.27381	−	1.41471i	0.409058	−	0.912509i	$-0.365858\pi$
$157$	15.9608	−	17.7262i	1.27381	−	1.41471i	0.864752	−	0.502200i	$-0.167476\pi$
$158$	2.93367	−	0.623572i	0.233391	−	0.0496087i
$159$	−5.24420	−	8.24422i	−0.415892	−	0.653810i
$160$	−5.87141	+	2.61412i	−0.464176	+	0.206664i
$161$	−2.55114	+	7.85161i	−0.201058	+	0.618794i
$162$	−0.848345	+	5.91839i	−0.0666523	+	0.464993i
$163$	3.39466	−	2.46636i	0.265890	−	0.193180i	−0.446850	−	0.894609i	$-0.647454\pi$
$163$	3.39466	−	2.46636i	0.265890	−	0.193180i	0.712740	+	0.701429i	$0.247454\pi$
$164$	−2.27495	+	3.94033i	−0.177644	+	0.307688i
$165$	−6.07475	−	2.05995i	−0.472919	−	0.160367i
$166$	0.160102	+	0.277306i	0.0124264	+	0.0215231i
$167$	14.4709	+	6.44287i	1.11979	+	0.498564i	0.881289	−	0.472577i	$-0.156676\pi$
$167$	14.4709	+	6.44287i	1.11979	+	0.498564i	0.238504	+	0.971141i	$0.423343\pi$
$168$	13.3262	+	8.83357i	1.02814	+	0.681525i
$169$	−3.89989	−	4.33127i	−0.299992	−	0.333174i
$170$	3.32864	+	2.41840i	0.255295	+	0.185482i
$171$	2.91715	+	15.1182i	0.223080	+	1.15611i
$172$	1.07533	−	3.30954i	0.0819935	−	0.252350i
$173$	2.54601	+	0.541171i	0.193569	+	0.0411445i	0.303676	−	0.952775i	$-0.401786\pi$
$173$	2.54601	+	0.541171i	0.193569	+	0.0411445i	−0.110107	+	0.993920i	$0.535119\pi$
$174$	−0.872854	−	0.889442i	−0.0661709	−	0.0674284i
$175$	−7.32717	−	12.6910i	−0.553882	−	0.959352i
$176$	4.95989	−	1.31116i	0.373866	−	0.0988322i
$177$	0.605335	+	4.06949i	0.0454997	+	0.305881i
$178$	1.11681	+	10.6258i	0.0837087	+	0.796435i
$179$	2.34483	+	7.21663i	0.175261	+	0.539396i	0.999645	−	0.0266334i	$-0.00847867\pi$
$179$	2.34483	+	7.21663i	0.175261	+	0.539396i	−0.824385	+	0.566030i	$0.808479\pi$
$180$	0.0982890	−	5.22044i	0.00732603	−	0.389109i
$181$	1.94179	+	1.41080i	0.144332	+	0.104864i	0.657608	−	0.753360i	$-0.271568\pi$
$181$	1.94179	+	1.41080i	0.144332	+	0.104864i	−0.513276	+	0.858224i	$0.671568\pi$
$182$	6.34584	−	2.82535i	0.470385	−	0.209429i
$183$	−2.47299	−	6.62817i	−0.182809	−	0.489968i
$184$	3.34472	−	3.71469i	0.246576	−	0.273850i
$185$	−8.88066	−	3.95393i	−0.652919	−	0.290698i
$186$	0.460396	+	0.181720i	0.0337579	+	0.0133243i
$187$	−12.9641	−	13.0515i	−0.948028	−	0.954419i
$188$	−20.0064			−1.45911
$189$	−17.3207	+	10.5651i	−1.25989	+	0.768500i
$190$	1.17647	+	3.62081i	0.0853504	+	0.262681i
$191$	−11.0529	−	12.2754i	−0.799757	−	0.888220i	0.195966	−	0.980611i	$-0.437216\pi$
$191$	−11.0529	−	12.2754i	−0.799757	−	0.888220i	−0.995723	+	0.0923909i	$0.970549\pi$
$192$	−0.678653	−	1.06689i	−0.0489776	−	0.0769959i
$193$	0.850335	−	8.09040i	0.0612085	−	0.582360i	−0.920336	−	0.391128i	$-0.872085\pi$
$193$	0.850335	−	8.09040i	0.0612085	−	0.582360i	0.981545	−	0.191232i	$-0.0612482\pi$
$194$	5.20860	−	1.10712i	0.373956	−	0.0794867i
$195$	−4.31706	−	2.86166i	−0.309151	−	0.204928i
$196$	1.34340	+	12.7816i	0.0959571	+	0.912971i
$197$	−22.9072			−1.63207			−0.816035	−	0.578003i	$-0.803832\pi$
$197$	−22.9072			−1.63207			−0.816035	+	0.578003i	$0.803832\pi$
$198$	1.17858	−	6.50398i	0.0837584	−	0.462218i
$199$	9.27177			0.657259			0.328629	−	0.944459i	$-0.393413\pi$
$199$	9.27177			0.657259			0.328629	+	0.944459i	$0.393413\pi$
$200$	0.927464	+	8.82423i	0.0655816	+	0.623967i
$201$	−15.1210	+	7.52609i	−1.06655	+	0.530850i
$202$	1.14451	−	0.243273i	0.0805273	−	0.0171166i
$203$	0.442028	−	4.20561i	0.0310243	−	0.295176i
$204$	6.92339	−	13.2775i	0.484734	−	0.929609i
$205$	−2.18104	−	2.42229i	−0.152330	−	0.169180i
$206$	−0.551741	−	1.69808i	−0.0384416	−	0.118311i
$207$	2.47045	+	5.84228i	0.171708	+	0.406067i
$208$	4.14243			0.287226
$209$	−2.60634	−	16.8213i	−0.180284	−	1.16356i
$210$	−3.92822	+	3.12025i	−0.271073	+	0.215318i
$211$	3.84655	+	1.71260i	0.264808	+	0.117900i	0.534846	−	0.844950i	$-0.320370\pi$
$211$	3.84655	+	1.71260i	0.264808	+	0.117900i	−0.270038	+	0.962850i	$0.587036\pi$
$212$	−5.88353	+	6.53432i	−0.404082	+	0.448779i
$213$	6.96543	−	8.43795i	0.477264	−	0.578159i
$214$	6.23661	−	2.77672i	0.426326	−	0.189812i
$215$	2.01683	+	1.46531i	0.137547	+	0.0999334i
$216$	12.1824	−	1.57834i	0.828909	−	0.107393i
$217$	0.519021	+	1.59738i	0.0352335	+	0.108437i
$218$	0.164077	+	1.56109i	0.0111127	+	0.105730i
$219$	−18.8058	−	7.42270i	−1.27078	−	0.501580i
$220$	−0.321469	+	5.76348i	−0.0216735	+	0.388574i
$221$	−7.42687	−	12.8637i	−0.499585	−	0.865307i
$222$	2.68361	−	9.65105i	0.180112	−	0.647736i
$223$	6.70917	+	1.42608i	0.449280	+	0.0954973i	0.426994	−	0.904254i	$-0.359572\pi$
$223$	6.70917	+	1.42608i	0.449280	+	0.0954973i	0.0222853	+	0.999752i	$0.492906\pi$
$224$	6.94477	−	21.3738i	0.464017	−	1.42810i
$225$	−10.6410	−	3.68033i	−0.709399	−	0.245355i
$226$	0.823601	+	0.598381i	0.0547851	+	0.0398037i
$227$	18.8226	+	20.9046i	1.24930	+	1.38749i	0.891078	+	0.453850i	$0.149950\pi$
$227$	18.8226	+	20.9046i	1.24930	+	1.38749i	0.358221	+	0.933637i	$0.383383\pi$
$228$	12.4043	−	6.17393i	0.821495	−	0.408879i
$229$	−12.8213	−	5.70843i	−0.847258	−	0.377223i	−0.0632674	−	0.997997i	$-0.520152\pi$
$229$	−12.8213	−	5.70843i	−0.847258	−	0.377223i	−0.783990	+	0.620773i	$0.786819\pi$
$230$	0.784218	+	1.35831i	0.0517098	+	0.0895640i
$231$	19.5665	−	10.9659i	1.28738	−	0.721506i
$232$	−1.28021	+	2.21739i	−0.0840499	+	0.145579i
$233$	11.7385	−	8.52854i	0.769017	−	0.558723i	−0.132646	−	0.991163i	$-0.542347\pi$
$233$	11.7385	−	8.52854i	0.769017	−	0.558723i	0.901663	+	0.432440i	$0.142347\pi$
$234$	2.26222	−	4.83401i	0.147886	−	0.316009i
$235$	4.42895	−	13.6309i	0.288913	−	0.889182i
$236$	3.38235	−	1.50592i	0.220172	−	0.0980269i
$237$	7.81249	−	0.335731i	0.507476	−	0.0218081i
$238$	−14.0727	+	2.99124i	−0.912196	+	0.193893i
$239$	−16.8274	+	18.6887i	−1.08847	+	1.20887i	−0.111892	+	0.993720i	$0.535691\pi$
$239$	−16.8274	+	18.6887i	−1.08847	+	1.20887i	−0.976581	+	0.215151i	$0.930976\pi$
$240$	−2.89687	+	0.747063i	−0.186992	+	0.0482227i
$241$	−8.87110	+	15.3652i	−0.571438	+	0.989759i	0.424981	+	0.905202i	$0.360281\pi$
$241$	−8.87110	+	15.3652i	−0.571438	+	0.989759i	−0.996419	+	0.0845570i	$0.973053\pi$
$242$	−1.56731	+	7.13747i	−0.100750	+	0.458814i
$243$	−4.73851	+	14.8508i	−0.303976	+	0.952680i
$244$	−5.15048	+	3.74205i	−0.329726	+	0.239560i
$245$	−9.00586	−	1.91426i	−0.575364	−	0.122297i
$246$	2.13824	−	2.59026i	0.136329	−	0.165149i
$247$	1.43668	−	13.6691i	0.0914140	−	0.869746i
$248$	0.106300	−	1.01138i	0.00675006	−	0.0642225i
$249$	0.291836	+	0.782186i	0.0184943	+	0.0495690i
$250$	−6.35116	−	1.34998i	−0.401683	−	0.0853803i
$251$	17.6993	−	12.8593i	1.11717	−	0.811670i	0.133390	−	0.991064i	$-0.457414\pi$
$251$	17.6993	−	12.8593i	1.11717	−	0.811670i	0.983777	+	0.179394i	$0.0574136\pi$
$252$	13.3358	+	12.4701i	0.840076	+	0.785541i
$253$	−2.49108	−	6.55523i	−0.156613	−	0.412124i
$254$	−2.54147	+	4.40195i	−0.159466	+	0.276203i
$255$	7.51363	+	7.65643i	0.470522	+	0.479464i
$256$	−5.87849	+	6.52873i	−0.367406	+	0.408045i
$257$	−5.05088	+	1.07360i	−0.315065	+	0.0669691i	−0.362730	−	0.931894i	$-0.618155\pi$
$257$	−5.05088	+	1.07360i	−0.315065	+	0.0669691i	0.0476651	+	0.998863i	$0.484822\pi$
$258$	−1.18774	+	2.27781i	−0.0739453	+	0.141810i
$259$	31.0534	−	13.8259i	1.92956	−	0.859097i
$260$	−1.44031	+	4.43283i	−0.0893244	+	0.274912i
$261$	−1.85997	−	2.66408i	−0.115129	−	0.164902i
$262$	−2.88024	+	2.09262i	−0.177942	+	0.129282i
$263$	13.9491	−	24.1605i	0.860135	−	1.48980i	−0.0116625	−	0.999932i	$-0.503712\pi$
$263$	13.9491	−	24.1605i	0.860135	−	1.48980i	0.871798	−	0.489866i	$-0.162954\pi$
$264$	−13.5234	+	1.24696i	−0.832306	+	0.0767450i
$265$	−3.14954	−	5.45516i	−0.193475	−	0.335108i
$266$	−12.1617	−	5.41473i	−0.745680	−	0.331998i
$267$	−1.71968	+	27.8035i	−0.105243	+	1.70155i
$268$	10.1706	+	11.2956i	0.621269	+	0.689989i
$269$	−2.44290	−	1.77487i	−0.148946	−	0.108216i	0.510816	−	0.859690i	$-0.329343\pi$
$269$	−2.44290	−	1.77487i	−0.148946	−	0.108216i	−0.659763	+	0.751474i	$0.729343\pi$
$270$	−0.710223	+	3.78849i	−0.0432228	+	0.230560i
$271$	−7.84125	+	24.1329i	−0.476322	+	1.46597i	0.367845	+	0.929887i	$0.380096\pi$
$271$	−7.84125	+	24.1329i	−0.476322	+	1.46597i	−0.844167	+	0.536081i	$0.819904\pi$
$272$	−8.39214	−	1.78380i	−0.508848	−	0.108159i
$273$	17.5372	−	4.52260i	1.06140	−	0.273720i
$274$	5.55744	+	9.62577i	0.335737	+	0.581514i
$275$	11.6060	+	4.49991i	0.699866	+	0.271355i
$276$	4.46973	−	3.55038i	0.269046	−	0.213708i
$277$	1.10428	+	10.5065i	0.0663497	+	0.631275i	0.976280	+	0.216513i	$0.0694684\pi$
$277$	1.10428	+	10.5065i	0.0663497	+	0.631275i	−0.909930	+	0.414762i	$0.863865\pi$
$278$	−2.82066	−	8.68109i	−0.169172	−	0.520657i
$279$	1.10525	+	0.666167i	0.0661696	+	0.0398824i
$280$	8.33875	+	6.05845i	0.498335	+	0.362062i
$281$	−20.6192	+	9.18026i	−1.23004	+	0.547648i	−0.915776	−	0.401688i	$-0.868424\pi$
$281$	−20.6192	+	9.18026i	−1.23004	+	0.547648i	−0.314261	+	0.949336i	$0.601757\pi$
$282$	14.5647	+	2.44758i	0.867318	+	0.145751i
$283$	−3.93264	+	4.36763i	−0.233771	+	0.259629i	−0.848604	−	0.529028i	$-0.822557\pi$
$283$	−3.93264	+	4.36763i	−0.233771	+	0.259629i	0.614833	+	0.788657i	$0.289223\pi$
$284$	−8.99503	−	4.00484i	−0.533757	−	0.237644i
$285$	1.46045	+	9.81817i	0.0865095	+	0.581578i
$286$	−2.69639	+	5.24831i	−0.159441	+	0.310339i
$287$	11.3977			0.672782
$288$	−6.72509	−	15.9040i	−0.396280	−	0.937150i
$289$	4.25344	+	13.0907i	0.250202	+	0.770044i
$290$	−0.537576	−	0.597039i	−0.0315676	−	0.0350593i
$291$	13.8707	−	0.596074i	0.813116	−	0.0349425i
$292$	−1.90178	+	18.0943i	−0.111294	+	1.05889i
$293$	−6.93909	+	1.47495i	−0.405386	+	0.0861674i	−0.406092	−	0.913832i	$-0.633109\pi$
$293$	−6.93909	+	1.47495i	−0.405386	+	0.0861674i	0.000705925		1.00000i	$0.499775\pi$
$294$	0.585696	−	9.46942i	0.0341585	−	0.552268i
$295$	0.277251	+	2.63786i	0.0161422	+	0.153582i
$296$	−20.5814			−1.19627
$297$	5.84065	−	16.2138i	0.338909	−	0.940819i
$298$	−3.69339			−0.213953
$299$	−0.591873	−	5.63129i	−0.0342289	−	0.325666i
$300$	−0.625508	+	10.1131i	−0.0361137	+	0.583880i
$301$	−8.52666	+	1.81240i	−0.491469	+	0.104465i
$302$	−0.0113818	+	0.108291i	−0.000654949	+	0.00623143i
$303$	3.04787	−	0.130978i	0.175096	−	0.00752449i
$304$	−5.31215	−	5.89974i	−0.304673	−	0.338373i
$305$	−1.40936	−	4.33757i	−0.0806999	−	0.248369i
$306$	−6.66463	+	8.81906i	−0.380992	+	0.504152i
$307$	−18.5370			−1.05796			−0.528981	−	0.848633i	$-0.677426\pi$
$307$	−18.5370			−1.05796			−0.528981	+	0.848633i	$0.677426\pi$
$308$	−14.2247	−	14.3206i	−0.810529	−	0.815993i
$309$	−0.684919	−	4.60451i	−0.0389637	−	0.261941i
$310$	0.291506	+	0.129787i	0.0165564	+	0.00737139i
$311$	4.60110	−	5.11004i	0.260905	−	0.289764i	−0.598433	−	0.801173i	$-0.704210\pi$
$311$	4.60110	−	5.11004i	0.260905	−	0.289764i	0.859337	+	0.511409i	$0.170876\pi$
$312$	−10.8141	−	1.81729i	−0.612229	−	0.102884i
$313$	−23.1363	+	10.3009i	−1.30774	+	0.582243i	−0.937917	−	0.346860i	$-0.887248\pi$
$313$	−23.1363	+	10.3009i	−1.30774	+	0.582243i	−0.369822	+	0.929103i	$0.620581\pi$
$314$	12.8197	+	9.31407i	0.723459	+	0.525624i
$315$	−11.4485	+	6.32546i	−0.645048	+	0.356400i
$316$	−2.17455	−	6.69256i	−0.122328	−	0.376486i
$317$	−1.14765	−	10.9191i	−0.0644582	−	0.613279i	−0.978298	−	0.207204i	$-0.933564\pi$
$317$	−1.14765	−	10.9191i	−0.0644582	−	0.613279i	0.913840	−	0.406075i	$-0.133103\pi$
$318$	5.08265	−	4.03723i	0.285021	−	0.226397i
$319$	1.94623	+	3.01909i	0.108968	+	0.169037i
$320$	−0.407582	−	0.705953i	−0.0227845	−	0.0394640i
$321$	17.2353	−	4.44475i	0.961982	−	0.248082i
$322$	−5.36457	−	1.14027i	−0.298956	−	0.0635450i
$323$	−8.79675	+	27.0736i	−0.489464	+	1.50642i
$324$	14.0182	+	0.528047i	0.778787	+	0.0293359i
$325$	8.13140	+	5.90780i	0.451049	+	0.327706i
$326$	1.86520	+	2.07152i	0.103304	+	0.114731i
$327$	−0.252648	+	4.08476i	−0.0139714	+	0.225888i
$328$	−6.30437	−	2.80689i	−0.348101	−	0.154984i
$329$	25.0583	+	43.4023i	1.38151	+	2.39284i
$330$	0.939135	−	4.15652i	0.0516977	−	0.228809i
$331$	1.85513	−	3.21317i	0.101967	−	0.176612i	−0.810528	−	0.585700i	$-0.800820\pi$
$331$	1.85513	−	3.21317i	0.101967	−	0.176612i	0.912495	+	0.409088i	$0.134153\pi$
$332$	0.607805	−	0.441596i	0.0333576	−	0.0242357i
$333$	11.0702	−	23.6552i	0.606641	−	1.29630i
$334$	−3.25182	+	10.0081i	−0.177931	+	0.547617i
$335$	−9.94756	+	4.42894i	−0.543493	+	0.241979i
$336$	4.83673	−	9.27573i	0.263865	−	0.506033i
$337$	31.4916	−	6.69375i	1.71546	−	0.364632i	0.757788	−	0.652501i	$-0.226280\pi$
$337$	31.4916	−	6.69375i	1.71546	−	0.364632i	0.957670	+	0.287869i	$0.0929469\pi$
$338$	2.59078	−	2.87735i	0.140920	−	0.156507i
$339$	1.85909	+	1.89442i	0.100972	+	0.102891i
$340$	4.82678	−	8.36023i	0.261769	−	0.453397i
$341$	−1.19390	−	0.781045i	−0.0646535	−	0.0422960i
$342$	−9.78571	+	2.97712i	−0.529151	+	0.160984i
$343$	3.93417	−	2.85834i	0.212425	−	0.154336i
$344$	5.16268	+	1.09736i	0.278353	+	0.0591658i
$345$	1.42948	+	3.83132i	0.0769605	+	0.206272i
$346$	−0.180746	+	1.71968i	−0.00971694	+	0.0924505i
$347$	2.24971	−	21.4046i	0.120771	−	1.14906i	−0.751397	−	0.659851i	$-0.770619\pi$
$347$	2.24971	−	21.4046i	0.120771	−	1.14906i	0.872167	−	0.489207i	$-0.162714\pi$
$348$	−1.86137	+	2.25487i	−0.0997801	+	0.120874i
$349$	16.4524	+	3.49707i	0.880677	+	0.187194i	0.625991	−	0.779830i	$-0.284695\pi$
$349$	16.4524	+	3.49707i	0.880677	+	0.187194i	0.254686	+	0.967024i	$0.418028\pi$
$350$	7.87593	−	5.72219i	0.420986	−	0.305864i
$351$	7.90531	−	11.4517i	0.421954	−	0.611248i
$352$	6.78127	+	17.8448i	0.361443	+	0.951129i
$353$	−1.56543	+	2.71140i	−0.0833193	+	0.144313i	−0.904674	−	0.426105i	$-0.859885\pi$
$353$	−1.56543	+	2.71140i	−0.0833193	+	0.144313i	0.821355	+	0.570418i	$0.193219\pi$
$354$	−2.64660	+	0.682520i	−0.140665	+	0.0362755i
$355$	4.71991	−	5.24199i	0.250507	−	0.278216i
$356$	24.5205	−	5.21199i	1.29958	−	0.276235i
$357$	−37.4761	+	1.61048i	−1.98345	+	0.0852357i
$358$	−4.60507	+	2.05031i	−0.243385	+	0.108362i
$359$	2.62315	−	8.07323i	0.138445	−	0.426089i	−0.857665	−	0.514208i	$-0.828086\pi$
$359$	2.62315	−	8.07323i	0.138445	−	0.426089i	0.996110	+	0.0881197i	$0.0280858\pi$
$360$	7.89024	−	0.679398i	0.415852	−	0.0358074i
$361$	−5.93893	+	4.31489i	−0.312575	+	0.227099i
$362$	−0.797247	+	1.38087i	−0.0419024	+	0.0725770i
$363$	−7.11386	+	17.6746i	−0.373381	+	0.927678i
$364$	−8.14907	−	14.1146i	−0.427127	−	0.739806i
$365$	−11.9071	−	5.30140i	−0.623248	−	0.277488i
$366$	4.20738	−	2.09412i	0.219923	−	0.109461i
$367$	−7.36777	−	8.18274i	−0.384595	−	0.427136i	0.519498	−	0.854471i	$-0.326119\pi$
$367$	−7.36777	−	8.18274i	−0.384595	−	0.427136i	−0.904093	+	0.427336i	$0.859452\pi$
$368$	−2.64596	−	1.92241i	−0.137930	−	0.100212i
$369$	6.61704	−	5.73618i	0.344469	−	0.298614i
$370$	1.99561	−	6.14185i	0.103747	−	0.319300i
$371$	21.5449	+	4.57951i	1.11856	+	0.237756i
$372$	0.311115	−	1.11886i	0.0161306	−	0.0580104i
$373$	−5.50342	−	9.53220i	−0.284956	−	0.493558i	0.687642	−	0.726050i	$-0.258646\pi$
$373$	−5.50342	−	9.53220i	−0.284956	−	0.493558i	−0.972599	+	0.232491i	$0.925312\pi$
$374$	7.72264	−	9.47143i	0.399328	−	0.489756i
$375$	−15.7468	−	6.21531i	−0.813161	−	0.320957i
$376$	−3.17185	−	30.1781i	−0.163576	−	1.55632i
$377$	0.896269	+	2.75843i	0.0461602	+	0.142067i
$378$	−8.18294	−	10.7098i	−0.420885	−	0.550852i
$379$	−20.5384	−	14.9220i	−1.05499	−	0.766492i	−0.0818315	−	0.996646i	$-0.526077\pi$
$379$	−20.5384	−	14.9220i	−1.05499	−	0.766492i	−0.973154	+	0.230154i	$0.926077\pi$
$380$	8.16035	−	3.63322i	0.418617	−	0.186380i
$381$	−8.43664	+	10.2202i	−0.432222	+	0.523595i
$382$	7.34264	−	8.15483i	0.375682	−	0.417237i
$383$	−11.0674	−	4.92751i	−0.565516	−	0.251784i	0.104006	−	0.994577i	$-0.466834\pi$
$383$	−11.0674	−	4.92751i	−0.565516	−	0.251784i	−0.669521	+	0.742793i	$0.733501\pi$
$384$	−14.9549	+	11.8789i	−0.763166	+	0.606195i
$385$	12.9061	−	6.52146i	0.657755	−	0.332364i
$386$	5.40422			0.275068
$387$	−4.03811	+	5.34349i	−0.205269	+	0.271625i
$388$	−3.86080	−	11.8823i	−0.196003	−	0.603234i
$389$	9.60275	+	10.6649i	0.486879	+	0.540734i	0.935658	−	0.352909i	$-0.114808\pi$
$389$	9.60275	+	10.6649i	0.486879	+	0.540734i	−0.448779	+	0.893643i	$0.648141\pi$
$390$	1.59087	−	3.05091i	0.0805567	−	0.154489i
$391$	−1.22586	+	11.6633i	−0.0619945	+	0.589838i
$392$	−19.0671	+	4.05284i	−0.963035	+	0.204699i
$393$	−8.30986	+	4.13603i	−0.419177	+	0.208635i
$394$	−1.59068	−	15.1344i	−0.0801375	−	0.762458i
$395$	5.04123			0.253652
$396$	−15.4656	−	1.15502i	−0.777175	−	0.0580418i
$397$	−5.03882			−0.252891			−0.126446	−	0.991974i	$-0.540357\pi$
$397$	−5.03882			−0.252891			−0.126446	+	0.991974i	$0.540357\pi$
$398$	0.643836	+	6.12569i	0.0322726	+	0.307053i
$399$	−28.9305	−	19.1772i	−1.44833	−	0.960062i
$400$	5.67864	−	1.20703i	0.283932	−	0.0603516i
$401$	1.90244	−	18.1005i	0.0950032	−	0.903895i	−0.838398	−	0.545059i	$-0.816507\pi$
$401$	1.90244	−	18.1005i	0.0950032	−	0.903895i	0.933401	−	0.358836i	$-0.116826\pi$
$402$	−6.02236	−	9.46753i	−0.300368	−	0.472198i
$403$	−0.770823	−	0.856086i	−0.0383974	−	0.0426447i
$404$	−0.848352	−	2.61096i	−0.0422071	−	0.129900i
$405$	−3.46307	+	9.43408i	−0.172081	+	0.468783i
$406$	2.80926			0.139421
$407$	−13.1948	+	25.6826i	−0.654042	+	1.27304i
$408$	21.1257	+	8.33840i	1.04588	+	0.412812i
$409$	15.0100	+	6.68287i	0.742195	+	0.330447i	0.742764	−	0.669553i	$-0.233514\pi$
$409$	15.0100	+	6.68287i	0.742195	+	0.330447i	−0.000568948		1.00000i	$0.500181\pi$
$410$	1.44891	−	1.60917i	0.0715564	−	0.0794715i
$411$	10.1301	+	27.1510i	0.499683	+	1.33926i
$412$	−3.82703	+	1.70390i	−0.188544	+	0.0839453i
$413$	−7.50342	−	5.45155i	−0.369219	−	0.268253i
$414$	−3.68834	+	2.03787i	−0.181272	+	0.100156i
$415$	0.166318	+	0.511874i	0.00816423	+	0.0251269i
$416$	1.61121	+	15.3296i	0.0789960	+	0.751596i
$417$	−3.50150	−	23.5396i	−0.171469	−	1.15274i
$418$	10.9326	−	2.89004i	0.534729	−	0.141357i
$419$	8.70324	+	15.0745i	0.425181	+	0.736435i	0.996437	−	0.0843365i	$-0.0268771\pi$
$419$	8.70324	+	15.0745i	0.425181	+	0.736435i	−0.571256	+	0.820772i	$0.693544\pi$
$420$	8.24427	+	8.40095i	0.402279	+	0.409925i
$421$	−4.44925	−	0.945717i	−0.216843	−	0.0460914i	0.0982090	−	0.995166i	$-0.468689\pi$
$421$	−4.44925	−	0.945717i	−0.216843	−	0.0460914i	−0.315052	+	0.949074i	$0.602022\pi$
$422$	−0.864374	+	2.66027i	−0.0420771	+	0.129500i
$423$	36.3913	+	12.5864i	1.76940	+	0.611972i
$424$	−10.7893	−	7.83890i	−0.523976	−	0.380691i
$425$	−13.9294	−	15.4701i	−0.675674	−	0.750412i
$426$	6.05848	+	4.01600i	0.293534	+	0.194576i
$427$	14.5692	+	6.48660i	0.705051	+	0.313909i
$428$	−8.00879	−	13.8716i	−0.387120	−	0.670511i
$429$	−9.20068	+	12.3294i	−0.444213	+	0.595268i
$430$	−0.828055	+	1.43423i	−0.0399323	+	0.0691648i
$431$	−10.1004	+	7.33838i	−0.486520	+	0.353477i	−0.803844	−	0.594840i	$-0.797216\pi$
$431$	−10.1004	+	7.33838i	−0.486520	+	0.353477i	0.317325	+	0.948317i	$0.397216\pi$
$432$	−1.86025	−	7.81935i	−0.0895012	−	0.376209i
$433$	8.86451	−	27.2822i	0.426001	−	1.31110i	−0.476031	−	0.879428i	$-0.657925\pi$
$433$	8.86451	−	27.2822i	0.426001	−	1.31110i	0.902032	−	0.431668i	$-0.142075\pi$
$434$	−1.01932	+	0.453830i	−0.0489289	+	0.0217846i
$435$	−1.12424	−	1.76738i	−0.0539034	−	0.0847396i
$436$	3.60243	−	0.765720i	0.172525	−	0.0366713i
$437$	−7.26121	+	8.06439i	−0.347351	+	0.385772i
$438$	3.59816	−	12.9401i	0.171927	−	0.618300i
$439$	2.05404	−	3.55769i	0.0980338	−	0.169799i	−0.812837	−	0.582491i	$-0.802078\pi$
$439$	2.05404	−	3.55769i	0.0980338	−	0.169799i	0.910871	+	0.412692i	$0.135411\pi$
$440$	−8.74476	+	0.428841i	−0.416890	+	0.0204442i
$441$	5.59753	−	24.0947i	0.266549	−	1.14737i
$442$	7.98309	−	5.80005i	0.379717	−	0.275880i
$443$	20.7658	+	4.41390i	0.986612	+	0.209711i	0.672840	−	0.739788i	$-0.265074\pi$
$443$	20.7658	+	4.41390i	0.986612	+	0.209711i	0.313772	+	0.949498i	$0.398407\pi$
$444$	−23.1781	−	3.89504i	−1.09999	−	0.184850i
$445$	−1.87720	+	17.8603i	−0.0889876	+	0.846660i
$446$	−0.476296	+	4.53165i	−0.0225533	+	0.214580i
$447$	−9.49645	−	1.59586i	−0.449167	−	0.0754816i
$448$	2.78813	+	0.592635i	0.131727	+	0.0279994i
$449$	−20.9494	+	15.2206i	−0.988663	+	0.718306i	−0.959628	−	0.281273i	$-0.909243\pi$
$449$	−20.9494	+	15.2206i	−0.988663	+	0.718306i	−0.0290350	+	0.999578i	$0.509243\pi$
$450$	1.69261	−	7.28586i	0.0797903	−	0.343459i
$451$	−7.54435	+	6.06744i	−0.355249	+	0.285705i
$452$	1.19428	−	2.06856i	0.0561744	−	0.0972970i
$453$	−0.0760556	+	0.273519i	−0.00357340	+	0.0128510i
$454$	−12.5042	+	13.8874i	−0.586853	+	0.651766i
$455$	11.4207	−	2.42754i	0.535410	−	0.113805i
$456$	11.2795	+	17.7321i	0.528212	+	0.830384i
$457$	−9.41304	+	4.19096i	−0.440323	+	0.196045i	−0.614910	−	0.788597i	$-0.710808\pi$
$457$	−9.41304	+	4.19096i	−0.440323	+	0.196045i	0.174587	+	0.984642i	$0.444141\pi$
$458$	2.88113	−	8.86721i	0.134626	−	0.414338i
$459$	−20.9467	+	19.7959i	−0.977707	+	0.923992i
$460$	2.97717	−	2.16304i	0.138811	−	0.100852i
$461$	12.7266	−	22.0432i	0.592738	−	1.02665i	−0.401124	−	0.916024i	$-0.631380\pi$
$461$	12.7266	−	22.0432i	0.592738	−	1.02665i	0.993862	−	0.110628i	$-0.0352863\pi$
$462$	8.60370	+	12.1657i	0.400280	+	0.566002i
$463$	19.9277	+	34.5158i	0.926119	+	1.60409i	0.789751	+	0.613427i	$0.210210\pi$
$463$	19.9277	+	34.5158i	0.926119	+	1.60409i	0.136368	+	0.990658i	$0.456457\pi$
$464$	1.53045	+	0.681400i	0.0710493	+	0.0316332i
$465$	0.693440	+	0.459663i	0.0321575	+	0.0213163i
$466$	6.44977	+	7.16320i	0.298780	+	0.331829i
$467$	14.0582	+	10.2139i	0.650537	+	0.472643i	0.863454	−	0.504427i	$-0.168296\pi$
$467$	14.0582	+	10.2139i	0.650537	+	0.472643i	−0.212917	+	0.977070i	$0.568296\pi$
$468$	−11.8346	−	4.09315i	−0.547054	−	0.189206i
$469$	11.7661	−	36.2123i	0.543308	−	1.67213i
$470$	9.31323	+	1.97959i	0.429587	+	0.0913116i
$471$	28.9376	+	29.4875i	1.33337	+	1.35871i
$472$	2.80781	+	4.86327i	0.129240	+	0.223850i
$473$	4.67916	−	5.73876i	0.215148	−	0.263868i
$474$	0.764314	+	5.13826i	0.0351061	+	0.236008i
$475$	−2.01348	−	19.1569i	−0.0923846	−	0.878980i
$476$	10.4312	+	32.1039i	0.478112	+	1.47148i
$477$	14.8129	−	8.18438i	0.678237	−	0.374737i
$478$	−13.5158	−	9.81979i	−0.618197	−	0.449147i
$479$	−20.0030	+	8.90589i	−0.913959	+	0.406921i	−0.809170	−	0.587574i	$-0.800083\pi$
$479$	−20.0030	+	8.90589i	−0.913959	+	0.406921i	−0.104788	+	0.994495i	$0.533416\pi$
$480$	−3.89135	−	10.4297i	−0.177615	−	0.476049i
$481$	−15.6002	+	17.3258i	−0.711309	+	0.789988i
$482$	−10.7675	−	4.79400i	−0.490447	−	0.218361i
$483$	−13.3007	−	5.24982i	−0.605202	−	0.238875i
$484$	17.0391	+	1.90671i	0.774505	+	0.0866687i
$485$	8.95046			0.406420
$486$	−10.1407	−	2.09940i	−0.459991	−	0.0952307i
$487$	1.01084	+	3.11106i	0.0458057	+	0.140975i	0.971344	−	0.237679i	$-0.0763867\pi$
$487$	1.01084	+	3.11106i	0.0458057	+	0.140975i	−0.925538	+	0.378655i	$0.876387\pi$
$488$	−6.46117	−	7.17586i	−0.292483	−	0.324836i
$489$	3.90074	+	6.13222i	0.176398	+	0.277308i
$490$	0.639342	−	6.08293i	0.0288825	−	0.274799i
$491$	7.06604	−	1.50193i	0.318886	−	0.0677813i	−0.0456879	−	0.998956i	$-0.514548\pi$
$491$	7.06604	−	1.50193i	0.318886	−	0.0677813i	0.364574	+	0.931174i	$0.381215\pi$
$492$	−6.56858	−	4.35413i	−0.296135	−	0.196300i
$493$	−0.627919	−	5.97425i	−0.0282801	−	0.269067i
$494$	9.13071			0.410810
$495$	4.21067	−	10.2814i	0.189256	−	0.462117i
$496$	−0.665390			−0.0298769
$497$	2.57822	+	24.5302i	0.115649	+	1.10033i
$498$	−0.496510	+	0.247126i	−0.0222492	+	0.0110740i
$499$	−14.5103	+	3.08427i	−0.649572	+	0.138071i	−0.520902	−	0.853617i	$-0.674404\pi$
$499$	−14.5103	+	3.08427i	−0.649572	+	0.138071i	−0.128670	+	0.991687i	$0.541071\pi$
$500$	−1.59244	+	15.1510i	−0.0712159	+	0.677574i
$501$	−12.6854	+	24.3277i	−0.566742	+	1.08688i
$502$	9.72492	+	10.8006i	0.434044	+	0.482055i
$503$	−10.1918	−	31.3671i	−0.454430	−	1.39859i	−0.871803	−	0.489856i	$-0.837049\pi$
$503$	−10.1918	−	31.3671i	−0.454430	−	1.39859i	0.417374	−	0.908735i	$-0.362951\pi$
$504$	−16.6959	+	22.0931i	−0.743696	+	0.984105i
$505$	1.96673			0.0875181
$506$	4.15794	−	2.10101i	0.184843	−	0.0934013i
$507$	7.90466	−	6.27880i	0.351058	−	0.278851i
$508$	10.8949	+	4.85073i	0.483383	+	0.215216i
$509$	25.8749	−	28.7370i	1.14688	−	1.27374i	0.190481	−	0.981691i	$-0.438995\pi$
$509$	25.8749	−	28.7370i	1.14688	−	1.27374i	0.956402	−	0.292052i	$-0.0943380\pi$
$510$	−4.53671	+	5.49578i	−0.200889	+	0.243357i
$511$	41.6361	−	18.5376i	1.84187	−	0.820055i
$512$	13.1198	+	9.53213i	0.579821	+	0.421264i
$513$	−26.4474	+	3.42650i	−1.16768	+	0.151284i
$514$	−1.06004	−	3.26247i	−0.0467564	−	0.143901i
$515$	−0.313701	−	2.98467i	−0.0138233	−	0.131520i
$516$	5.60638	+	2.21285i	0.246807	+	0.0974155i
$517$	−39.6915	−	15.3893i	−1.74563	−	0.676821i
$518$	11.2908	+	19.5563i	0.496091	+	0.859255i
$519$	−1.20778	+	4.34354i	−0.0530157	+	0.190660i
$520$	−6.91494	−	1.46982i	−0.303240	−	0.0644557i
$521$	−5.40297	+	16.6286i	−0.236708	+	0.728514i	0.760182	+	0.649710i	$0.225110\pi$
$521$	−5.40297	+	16.6286i	−0.236708	+	0.728514i	−0.996890	+	0.0788032i	$0.974890\pi$
$522$	1.63095	−	1.41384i	0.0713848	−	0.0618821i
$523$	−11.7211	−	8.51591i	−0.512530	−	0.372375i	0.301253	−	0.953544i	$-0.402595\pi$
$523$	−11.7211	−	8.51591i	−0.512530	−	0.372375i	−0.813782	+	0.581170i	$0.802595\pi$
$524$	5.58934	+	6.20760i	0.244172	+	0.271180i
$525$	22.7230	−	11.3098i	0.991715	−	0.493602i
$526$	16.9310	+	7.53816i	0.738226	+	0.328680i
$527$	1.19296	+	2.06627i	0.0519663	+	0.0900082i
$528$	1.73632	+	8.71460i	0.0755637	+	0.379254i
$529$	9.26470	−	16.0469i	0.402813	−	0.697693i
$530$	3.38542	−	2.45965i	0.147053	−	0.106840i
$531$	−7.09984	+	0.611340i	−0.308107	+	0.0265299i
$532$	−9.65216	+	29.7063i	−0.418474	+	1.28793i
$533$	−7.14146	+	3.17958i	−0.309331	+	0.137723i
$534$	−18.4887	+	0.794524i	−0.800083	+	0.0343824i
$535$	11.2241	−	2.38576i	0.485260	−	0.103145i
$536$	−15.4261	+	17.1325i	−0.666307	+	0.740009i
$537$	−12.7265	+	3.28197i	−0.549187	+	0.141628i
$538$	1.00299	−	1.73722i	0.0432418	−	0.0748971i
$539$	−7.16664	+	26.3913i	−0.308689	+	1.13675i
$540$	9.01432	+	0.728114i	0.387915	+	0.0313330i
$541$	−26.7771	+	19.4547i	−1.15124	+	0.836422i	−0.988645	−	0.150272i	$-0.951985\pi$
$541$	−26.7771	+	19.4547i	−1.15124	+	0.836422i	−0.162591	+	0.986694i	$0.551985\pi$
$542$	−16.4886	−	3.50477i	−0.708248	−	0.150543i
$543$	−2.64654	+	3.20602i	−0.113574	+	0.137583i
$544$	3.33706	−	31.7500i	0.143075	−	1.36127i
$545$	−0.275788	+	2.62395i	−0.0118135	+	0.112398i
$546$	4.20579	+	11.2725i	0.179991	+	0.482417i
$547$	−9.01278	−	1.91573i	−0.385359	−	0.0819105i	0.0111586	−	0.999938i	$-0.496448\pi$
$547$	−9.01278	−	1.91573i	−0.385359	−	0.0819105i	−0.396517	+	0.918027i	$0.629781\pi$
$548$	21.0980	−	15.3286i	0.901262	−	0.654805i
$549$	11.7229	−	3.56645i	0.500319	−	0.152213i
$550$	−2.16708	+	7.98032i	−0.0924046	+	0.340282i
$551$	2.77927	−	4.81383i	0.118401	−	0.205076i
$552$	6.06412	+	6.17937i	0.258106	+	0.263011i
$553$	−11.7953	+	13.1001i	−0.501589	+	0.557071i
$554$	−6.86477	+	1.45915i	−0.291656	+	0.0619935i
$555$	7.78491	−	14.9296i	0.330451	−	0.633728i
$556$	−19.5649	+	8.71084i	−0.829735	+	0.369422i
$557$	11.4496	−	35.2384i	0.485137	−	1.49310i	−0.346645	−	0.937996i	$-0.612679\pi$
$557$	11.4496	−	35.2384i	0.485137	−	1.49310i	0.831782	−	0.555102i	$-0.187321\pi$
$558$	−0.363375	+	0.776477i	−0.0153829	+	0.0328709i
$559$	4.83697	−	3.51427i	0.204582	−	0.148638i
$560$	3.37202	−	5.84052i	0.142494	−	0.246807i
$561$	23.9489	−	21.0161i	1.01112	−	0.887300i
$562$	−7.49703	−	12.9852i	−0.316243	−	0.547749i
$563$	−24.6603	−	10.9795i	−1.03931	−	0.462730i	−0.185132	−	0.982714i	$-0.559271\pi$
$563$	−24.6603	−	10.9795i	−1.03931	−	0.462730i	−0.854176	+	0.519984i	$0.825938\pi$
$564$	2.13919	−	34.5860i	0.0900760	−	1.45633i
$565$	1.14498	+	1.27163i	0.0481698	+	0.0534980i
$566$	−3.15870	−	2.29493i	−0.132770	−	0.0964630i
$567$	−16.4124	−	31.0727i	−0.689257	−	1.30493i
$568$	4.61492	−	14.2033i	0.193638	−	0.595956i
$569$	26.8753	+	5.71252i	1.12667	+	0.239481i	0.733305	−	0.679900i	$-0.237977\pi$
$569$	26.8753	+	5.71252i	1.12667	+	0.239481i	0.393367	+	0.919382i	$0.371310\pi$
$570$	−6.38527	+	1.64667i	−0.267449	+	0.0689714i
$571$	19.5052	+	33.7840i	0.816266	+	1.41381i	0.908415	+	0.418069i	$0.137293\pi$
$571$	19.5052	+	33.7840i	0.816266	+	1.41381i	−0.0921492	+	0.995745i	$0.529374\pi$
$572$	12.9078	+	5.00466i	0.539703	+	0.209256i
$573$	22.4030	−	17.7950i	0.935897	−	0.743398i
$574$	0.791458	+	7.53022i	0.0330348	+	0.314305i
$575$	−2.45223	−	7.54719i	−0.102265	−	0.314739i
$576$	1.91694	−	1.05914i	0.0798726	−	0.0441309i
$577$	23.5957	+	17.1433i	0.982302	+	0.713684i	0.958222	−	0.286026i	$-0.0923344\pi$
$577$	23.5957	+	17.1433i	0.982302	+	0.713684i	0.0240800	+	0.999710i	$0.492334\pi$
$578$	−8.35345	+	3.71920i	−0.347458	+	0.154698i
$579$	13.8953	+	2.33508i	0.577470	+	0.0970427i
$580$	−1.26130	+	1.40082i	−0.0523727	+	0.0581658i
$581$	−1.71930	−	0.765480i	−0.0713284	−	0.0317575i
$582$	1.35700	+	9.12273i	0.0562496	+	0.378149i
$583$	−16.6989	+	8.43797i	−0.691598	+	0.349465i
$584$	−27.5954			−1.14191
$585$	5.40869	−	7.15712i	0.223622	−	0.295910i
$586$	−1.45632	−	4.48210i	−0.0601602	−	0.185154i
$587$	−3.40449	−	3.78107i	−0.140518	−	0.156062i	0.668778	−	0.743463i	$-0.266818\pi$
$587$	−3.40449	−	3.78107i	−0.140518	−	0.156062i	−0.809296	+	0.587401i	$0.800151\pi$
$588$	−22.2398	+	0.955723i	−0.917154	+	0.0394134i
$589$	−0.230772	+	2.19565i	−0.00950878	+	0.0904700i
$590$	−1.72353	+	0.366349i	−0.0709568	+	0.0150823i
$591$	2.44936	−	39.6007i	0.100753	−	1.62896i
$592$	1.40762	+	13.3927i	0.0578530	+	0.550435i
$593$	3.46422			0.142258			0.0711292	−	0.997467i	$-0.477340\pi$
$593$	3.46422			0.142258			0.0711292	+	0.997467i	$0.477340\pi$
$594$	11.1177	+	2.73292i	0.456166	+	0.112133i
$595$	−24.1825			−0.991386
$596$	0.905814	+	8.61825i	0.0371036	+	0.353017i
$597$	−0.991387	+	16.0286i	−0.0405748	+	0.656005i
$598$	3.67939	−	0.782079i	0.150461	−	0.0319816i
$599$	−2.60013	+	24.7386i	−0.106238	+	1.01079i	0.803414	+	0.595421i	$0.203015\pi$
$599$	−2.60013	+	24.7386i	−0.106238	+	1.01079i	−0.909653	+	0.415370i	$0.863652\pi$
$600$	−15.3540	+	0.659818i	−0.626826	+	0.0269369i
$601$	7.40602	+	8.22522i	0.302098	+	0.335514i	0.875012	−	0.484102i	$-0.160854\pi$
$601$	7.40602	+	8.22522i	0.302098	+	0.335514i	−0.572914	+	0.819616i	$0.694187\pi$
$602$	−1.78951	−	5.50755i	−0.0729351	−	0.224471i
$603$	−11.3939	−	26.9451i	−0.463995	−	1.09729i
$604$	0.255479			0.0103953
$605$	−5.07116	+	11.1871i	−0.206172	+	0.454821i
$606$	0.298180	+	2.00458i	0.0121127	+	0.0814304i
$607$	−25.5436	−	11.3728i	−1.03678	−	0.461606i	−0.183483	−	0.983023i	$-0.558737\pi$
$607$	−25.5436	−	11.3728i	−1.03678	−	0.461606i	−0.853302	+	0.521417i	$0.825404\pi$
$608$	19.7666	−	21.9530i	0.801642	−	0.890313i
$609$	7.22318	+	1.21384i	0.292698	+	0.0491873i
$610$	2.76789	−	1.23234i	0.112068	−	0.0498961i
$611$	−27.8087	−	20.2042i	−1.12502	−	0.817375i
$612$	22.2131	+	13.3885i	0.897911	+	0.541198i
$613$	3.39680	+	10.4543i	0.137196	+	0.422245i	0.995925	−	0.0901845i	$-0.0287457\pi$
$613$	3.39680	+	10.4543i	0.137196	+	0.422245i	−0.858729	+	0.512429i	$0.828746\pi$
$614$	−1.28722	−	12.2471i	−0.0519479	−	0.494251i
$615$	4.42073	−	3.51146i	0.178261	−	0.141596i
$616$	19.3464	−	23.7274i	0.779489	−	0.956004i
$617$	−9.31311	−	16.1308i	−0.374932	−	0.649401i	0.615385	−	0.788227i	$-0.289001\pi$
$617$	−9.31311	−	16.1308i	−0.374932	−	0.649401i	−0.990317	+	0.138826i	$0.955667\pi$
$618$	2.99455	−	0.772252i	0.120459	−	0.0310645i
$619$	−2.62973	−	0.558967i	−0.105698	−	0.0224668i	0.154759	−	0.987952i	$-0.450540\pi$
$619$	−2.62973	−	0.558967i	−0.105698	−	0.0224668i	−0.260457	+	0.965485i	$0.583873\pi$
$620$	0.231355	−	0.712036i	0.00929142	−	0.0285961i
$621$	−10.3640	+	3.64609i	−0.415892	+	0.146312i
$622$	3.69561	+	2.68502i	0.148180	+	0.107659i
$623$	−42.0193	−	46.6672i	−1.68347	−	1.86968i
$624$	−0.442930	+	7.16121i	−0.0177314	+	0.286678i
$625$	7.17308	+	3.19366i	0.286923	+	0.127746i
$626$	−8.41222	−	14.5704i	−0.336220	−	0.582350i
$627$	29.3585	−	2.70708i	1.17247	−	0.108110i
$628$	18.5896	−	32.1981i	0.741805	−	1.28484i
$629$	39.0652	−	28.3826i	1.55763	−	1.13169i
$630$	−4.97410	−	7.12454i	−0.198173	−	0.283848i
$631$	−12.1224	+	37.3089i	−0.482585	+	1.48524i	0.352863	+	0.935675i	$0.385208\pi$
$631$	−12.1224	+	37.3089i	−0.482585	+	1.48524i	−0.835448	+	0.549569i	$0.814792\pi$
$632$	9.75049	−	4.34120i	0.387853	−	0.172683i
$633$	−3.37194	+	6.46660i	−0.134023	+	0.257024i
$634$	7.13437	−	1.51646i	0.283342	−	0.0602262i
$635$	−5.71682	+	6.34917i	−0.226865	+	0.251959i
$636$	−10.6671	−	10.8698i	−0.422977	−	0.431016i
$637$	−11.0407	+	19.1230i	−0.437447	+	0.757681i
$638$	−1.85951	+	1.49549i	−0.0736187	+	0.0592069i
$639$	13.8423	+	12.9437i	0.547593	+	0.512045i
$640$	−9.96109	+	7.23716i	−0.393747	+	0.286074i
$641$	−25.1863	−	5.35351i	−0.994799	−	0.211451i	−0.318376	−	0.947965i	$-0.603137\pi$
$641$	−25.1863	−	5.35351i	−0.994799	−	0.211451i	−0.676423	+	0.736514i	$0.736471\pi$
$642$	4.13339	+	11.0784i	0.163132	+	0.437230i
$643$	1.39358	−	13.2590i	0.0549574	−	0.522885i	−0.932064	−	0.362294i	$-0.881993\pi$
$643$	1.39358	−	13.2590i	0.0549574	−	0.522885i	0.987021	−	0.160590i	$-0.0513398\pi$
$644$	−1.34507	+	12.7975i	−0.0530030	+	0.504290i
$645$	−2.74880	+	3.32991i	−0.108234	+	0.131115i
$646$	−18.4979	−	3.93185i	−0.727789	−	0.154696i
$647$	−19.2955	+	14.0190i	−0.758585	+	0.551145i	−0.898476	−	0.439022i	$-0.855325\pi$
$647$	−19.2955	+	14.0190i	−0.758585	+	0.551145i	0.139891	+	0.990167i	$0.455325\pi$
$648$	1.42595	+	21.2291i	0.0560165	+	0.833957i
$649$	7.86876	−	0.385882i	0.308876	−	0.0151472i
$650$	−3.33853	+	5.78250i	−0.130948	+	0.226808i
$651$	−2.81697	+	0.726456i	−0.110406	+	0.0284720i
$652$	4.37628	−	4.86035i	0.171388	−	0.190346i
$653$	−12.4469	+	2.64566i	−0.487083	+	0.103533i	−0.444906	−	0.895577i	$-0.646763\pi$
$653$	−12.4469	+	2.64566i	−0.487083	+	0.103533i	−0.0421776	+	0.999110i	$0.513430\pi$
$654$	−2.71627	+	0.116728i	−0.106214	+	0.00456441i
$655$	−5.46676	+	2.43396i	−0.213604	+	0.0951027i
$656$	−1.39531	+	4.29433i	−0.0544778	+	0.167666i
$657$	14.8428	−	31.7168i	0.579072	−	1.23739i
$658$	−26.9350	+	19.5694i	−1.05004	+	0.762896i
$659$	13.6263	−	23.6015i	0.530806	−	0.919383i	−0.468547	−	0.883438i	$-0.655223\pi$
$659$	13.6263	−	23.6015i	0.530806	−	0.919383i	0.999354	−	0.0359452i	$-0.0114442\pi$
$660$	−9.92923	−	1.17200i	−0.386495	−	0.0456201i
$661$	−21.8220	−	37.7968i	−0.848777	−	1.47012i	−0.882300	−	0.470687i	$-0.844006\pi$
$661$	−21.8220	−	37.7968i	−0.848777	−	1.47012i	0.0335234	−	0.999438i	$-0.489327\pi$
$662$	2.25170	+	1.00252i	0.0875150	+	0.0389642i
$663$	23.0322	−	11.4637i	0.894497	−	0.445214i
$664$	0.762478	+	0.846818i	0.0295899	+	0.0328629i
$665$	−18.1030	−	13.1526i	−0.702003	−	0.510035i
$666$	16.3973	+	5.67122i	0.635382	+	0.219755i
$667$	0.707636	−	2.17788i	0.0273998	−	0.0843278i
$668$	24.1505	+	5.13336i	0.934413	+	0.198616i
$669$	−3.18271	+	11.4460i	−0.123051	+	0.442527i
$670$	−3.61688	−	6.26462i	−0.139732	−	0.242023i
$671$	−13.0967	+	3.46214i	−0.505593	+	0.133654i
$672$	36.2074	+	14.2912i	1.39673	+	0.551294i
$673$	2.78952	+	26.5405i	0.107528	+	1.02306i	0.906648	+	0.421889i	$0.138633\pi$
$673$	2.78952	+	26.5405i	0.107528	+	1.02306i	−0.799120	+	0.601172i	$0.794701\pi$
$674$	6.60922	+	20.3411i	0.254578	+	0.783510i
$675$	7.50014	−	18.0021i	0.288681	−	0.692899i
$676$	−7.34946	−	5.33970i	−0.282672	−	0.205373i
$677$	24.7416	−	11.0157i	0.950897	−	0.423367i	0.128138	−	0.991756i	$-0.459100\pi$
$677$	24.7416	−	11.0157i	0.950897	−	0.423367i	0.822759	+	0.568390i	$0.192433\pi$
$678$	−1.12251	+	1.35982i	−0.0431098	+	0.0522234i
$679$	−20.9421	+	23.2585i	−0.803683	+	0.892581i
$680$	13.3760	+	5.95540i	0.512948	+	0.228379i
$681$	−38.1514	+	30.3043i	−1.46196	+	1.16126i
$682$	0.433117	−	0.843026i	0.0165849	−	0.0322811i
$683$	−16.7343			−0.640322			−0.320161	−	0.947363i	$-0.603737\pi$
$683$	−16.7343			−0.640322			−0.320161	+	0.947363i	$0.603737\pi$
$684$	9.34684	+	22.1040i	0.357385	+	0.845169i
$685$	5.77319	+	17.7681i	0.220582	+	0.678883i
$686$	2.16165	+	2.40075i	0.0825320	+	0.0916611i
$687$	11.2393	−	21.5545i	0.428808	−	0.822354i
$688$	0.360980	−	3.43449i	0.0137622	−	0.130939i
$689$	−14.7770	+	3.14095i	−0.562958	+	0.119661i
$690$	−2.43202	+	1.21048i	−0.0925854	+	0.0460821i
$691$	3.92186	+	37.3140i	0.149195	+	1.41949i	0.771256	+	0.636525i	$0.219629\pi$
$691$	3.92186	+	37.3140i	0.149195	+	1.41949i	−0.622062	+	0.782968i	$0.713705\pi$
$692$	4.05707			0.154226
$693$	16.8652	+	34.9981i	0.640655	+	1.32947i
$694$	14.2978			0.542738
$695$	−1.60373	−	15.2585i	−0.0608330	−	0.578787i
$696$	−3.69642	−	2.45025i	−0.140112	−	0.0928767i
$697$	15.8370	−	3.36627i	0.599871	−	0.127507i
$698$	−1.16798	+	11.1126i	−0.0442089	+	0.420619i
$699$	13.4885	+	21.2049i	0.510184	+	0.802042i
$700$	−15.2839	−	16.9745i	−0.577676	−	0.641575i
$701$	3.15219	+	9.70143i	0.119056	+	0.366418i	0.992771	−	0.120020i	$-0.0382959\pi$
$701$	3.15219	+	9.70143i	0.119056	+	0.366418i	−0.873715	+	0.486438i	$0.838296\pi$
$702$	8.11489	+	4.42768i	0.306277	+	0.167112i
$703$	44.6811			1.68518
$704$	−2.16101	+	1.09196i	−0.0814460	+	0.0411548i
$705$	23.0908	+	9.11402i	0.869651	+	0.343254i
$706$	−1.90007	−	0.845967i	−0.0715102	−	0.0318384i
$707$	−4.60170	+	5.11070i	−0.173065	+	0.192208i
$708$	2.24169	+	6.00824i	0.0842479	+	0.225804i
$709$	−13.2443	+	5.89673i	−0.497399	+	0.221457i	−0.640074	−	0.768313i	$-0.721096\pi$
$709$	−13.2443	+	5.89673i	−0.497399	+	0.221457i	0.142675	+	0.989770i	$0.454430\pi$
$710$	3.79104	+	2.75435i	0.142275	+	0.103369i
$711$	−0.254960	+	13.5417i	−0.00956173	+	0.507854i
$712$	11.7494	+	36.1610i	0.440329	+	1.35519i
$713$	0.0950714	+	0.904544i	0.00356045	+	0.0338754i
$714$	−3.66637	−	24.6479i	−0.137210	−	0.922426i
$715$	−6.26732	+	7.68655i	−0.234384	+	0.287461i
$716$	5.91364	+	10.2427i	0.221003	+	0.382789i
$717$	−30.5088	−	31.0886i	−1.13937	−	1.16102i
$718$	5.51598	+	1.17246i	0.205855	+	0.0437558i
$719$	5.94135	−	18.2856i	0.221575	−	0.681938i	−0.777046	−	0.629444i	$-0.783283\pi$
$719$	5.94135	−	18.2856i	0.221575	−	0.681938i	0.998621	−	0.0524943i	$-0.0167171\pi$
$720$	−0.981733	−	5.08784i	−0.0365870	−	0.189613i
$721$	8.48991	+	6.16828i	0.316181	+	0.229719i
$722$	−3.26317	−	3.62411i	−0.121442	−	0.134876i
$723$	−25.6140	−	16.9788i	−0.952595	−	0.631449i
$724$	3.41768	+	1.52165i	0.127017	+	0.0565517i
$725$	2.03241	+	3.52023i	0.0754818	+	0.130738i
$726$	−12.1713	−	3.47266i	−0.451719	−	0.128882i
$727$	−0.363414	+	0.629451i	−0.0134783	+	0.0233450i	−0.872686	−	0.488282i	$-0.837624\pi$
$727$	−0.363414	+	0.629451i	−0.0134783	+	0.0233450i	0.859208	+	0.511627i	$0.170957\pi$
$728$	19.9989	−	14.5300i	0.741207	−	0.538519i
$729$	−25.1666	−	9.77962i	−0.932097	−	0.362208i
$730$	2.67570	−	8.23495i	0.0990320	−	0.304789i
$731$	−11.3125	+	5.03666i	−0.418408	+	0.186287i
$732$	−5.91833	−	9.30401i	−0.218748	−	0.343886i
$733$	1.83490	−	0.390019i	0.0677734	−	0.0144057i	−0.173900	−	0.984763i	$-0.555637\pi$
$733$	1.83490	−	0.390019i	0.0677734	−	0.0144057i	0.241674	+	0.970358i	$0.422304\pi$
$734$	4.89456	−	5.43596i	0.180662	−	0.200645i
$735$	4.27222	−	15.3642i	0.157583	−	0.566716i
$736$	6.08497	−	10.5395i	0.224295	−	0.388490i
$737$	11.4891	+	30.2333i	0.423206	+	1.11366i
$738$	4.24928	+	3.97343i	0.156418	+	0.146264i
$739$	42.5402	−	30.9073i	1.56487	−	1.13694i	0.632993	−	0.774157i	$-0.281826\pi$
$739$	42.5402	−	30.9073i	1.56487	−	1.13694i	0.931873	−	0.362784i	$-0.118174\pi$
$740$	−14.8210	−	3.15029i	−0.544829	−	0.115807i
$741$	23.4769	+	3.94524i	0.862444	+	0.144932i
$742$	−1.52951	+	14.5523i	−0.0561501	+	0.534233i
$743$	3.48423	−	33.1502i	0.127824	−	1.21616i	−0.723051	−	0.690795i	$-0.757261\pi$
$743$	3.48423	−	33.1502i	0.127824	−	1.21616i	0.850875	−	0.525368i	$-0.176072\pi$
$744$	1.73705	+	0.291908i	0.0636833	+	0.0107019i
$745$	−6.07238	−	1.29072i	−0.222475	−	0.0472885i
$746$	5.91558	−	4.29792i	0.216585	−	0.157358i
$747$	−1.38341	+	0.420875i	−0.0506162	+	0.0153990i
$748$	−23.9948	−	15.6973i	−0.877338	−	0.573949i
$749$	−20.0623	+	34.7489i	−0.733060	+	1.26970i
$750$	3.01288	−	10.8352i	0.110015	−	0.395646i
$751$	−15.6336	+	17.3629i	−0.570479	+	0.633581i	−0.957480	−	0.288498i	$-0.906844\pi$
$751$	−15.6336	+	17.3629i	−0.570479	+	0.633581i	0.387002	+	0.922079i	$0.373511\pi$
$752$	−19.4205	+	4.12795i	−0.708192	+	0.150531i
$753$	20.3379	+	31.9725i	0.741155	+	1.16514i
$754$	−1.76021	+	0.783695i	−0.0641030	+	0.0285405i
$755$	−0.0565572	+	0.174065i	−0.00205833	+	0.00633488i
$756$	−22.9836	+	21.7208i	−0.835904	+	0.789980i
$757$	27.3472	−	19.8689i	0.993952	−	0.722148i	0.0331687	−	0.999450i	$-0.489440\pi$
$757$	27.3472	−	19.8689i	0.993952	−	0.722148i	0.960783	+	0.277302i	$0.0894401\pi$
$758$	8.43250	−	14.6055i	0.306282	−	0.530496i
$759$	11.5987	−	3.60553i	0.421006	−	0.130873i
$760$	6.77421	+	11.7333i	0.245726	+	0.425611i
$761$	18.3731	+	8.18025i	0.666026	+	0.296534i	0.711763	−	0.702420i	$-0.247897\pi$
$761$	18.3731	+	8.18025i	0.666026	+	0.296534i	−0.0457371	+	0.998954i	$0.514564\pi$
$762$	−7.33811	−	4.86424i	−0.265832	−	0.176213i
$763$	−6.17328	−	6.85612i	−0.223488	−	0.248208i
$764$	−20.8294	−	15.1335i	−0.753583	−	0.547510i
$765$	−14.0394	+	12.1705i	−0.507597	+	0.440026i
$766$	2.48699	−	7.65417i	0.0898586	−	0.276556i
$767$	6.22224	+	1.32258i	0.224672	+	0.0477555i
$768$	−10.6580	−	10.8605i	−0.384586	−	0.391895i
$769$	−0.313500	−	0.542997i	−0.0113051	−	0.0195810i	0.860318	−	0.509759i	$-0.170265\pi$
$769$	−0.313500	−	0.542997i	−0.0113051	−	0.0195810i	−0.871623	+	0.490178i	$0.836932\pi$
$770$	5.20481	+	8.07395i	0.187568	+	0.290965i
$771$	−1.31591	−	8.84649i	−0.0473914	−	0.318598i
$772$	−1.32540	−	12.6103i	−0.0477021	−	0.453856i
$773$	8.88046	+	27.3313i	0.319408	+	0.983037i	0.973902	+	0.226970i	$0.0728818\pi$
$773$	8.88046	+	27.3313i	0.319408	+	0.983037i	−0.654494	+	0.756067i	$0.727118\pi$
$774$	−3.81075	−	2.29685i	−0.136975	−	0.0825587i
$775$	−1.30613	−	0.948959i	−0.0469176	−	0.0340876i
$776$	17.3115	−	7.70759i	0.621448	−	0.276686i
$777$	20.5810	+	55.1618i	0.738340	+	1.97892i
$778$	−6.37930	+	7.08493i	−0.228709	+	0.254007i
$779$	13.6865	+	6.09360i	0.490368	+	0.218326i
$780$	−7.50923	−	2.96392i	−0.268874	−	0.106125i
$781$	−14.7650	−	14.8645i	−0.528333	−	0.531895i
$782$	−7.79085			−0.278600
$783$	4.80440	−	2.93055i	0.171695	−	0.104729i
$784$	3.94131	+	12.1301i	0.140761	+	0.433218i
$785$	17.8222	+	19.7935i	0.636101	+	0.706462i
$786$	−3.30964	−	5.20296i	−0.118051	−	0.185584i
$787$	1.47416	−	14.0257i	0.0525481	−	0.499962i	−0.936318	−	0.351153i	$-0.885790\pi$
$787$	1.47416	−	14.0257i	0.0525481	−	0.499962i	0.988866	−	0.148808i	$-0.0475437\pi$
$788$	−34.9247	+	7.42347i	−1.24414	+	0.264450i
$789$	40.2758	+	26.6977i	1.43386	+	0.950465i
$790$	0.350065	+	3.33065i	0.0124548	+	0.118499i
$791$	−5.98345			−0.212747
$792$	−0.709686	−	23.5118i	−0.0252176	−	0.835456i
$793$	−10.9382			−0.388426
$794$	−0.349898	−	3.32906i	−0.0124174	−	0.118144i
$795$	9.76736	−	4.86146i	0.346413	−	0.172418i
$796$	14.1359	−	3.00468i	0.501034	−	0.106498i
$797$	−2.73391	+	26.0114i	−0.0968400	+	0.921371i	0.832967	+	0.553323i	$0.186641\pi$
$797$	−2.73391	+	26.0114i	−0.0968400	+	0.921371i	−0.929807	+	0.368048i	$0.880026\pi$
$798$	10.6611	−	20.4455i	0.377398	−	0.723763i
$799$	47.6373	+	52.9066i	1.68529	+	1.87170i
$800$	6.67551	+	20.5451i	0.236015	+	0.726379i
$801$	−47.8814	−	5.94580i	−1.69180	−	0.210084i
$802$	12.0908			0.426939
$803$	−17.6915	+	34.4351i	−0.624320	+	1.21519i
$804$	−20.6148	+	16.3746i	−0.727026	+	0.577489i
$805$	−8.42150	−	3.74949i	−0.296819	−	0.132152i
$806$	0.512074	−	0.568715i	0.0180370	−	0.0200321i
$807$	3.32951	−	4.03338i	0.117204	−	0.141982i
$808$	3.80394	−	1.69362i	0.133822	−	0.0595814i
$809$	−12.8256	−	9.31836i	−0.450925	−	0.327616i	0.339036	−	0.940773i	$-0.389899\pi$
$809$	−12.8256	−	9.31836i	−0.450925	−	0.327616i	−0.789961	+	0.613157i	$0.789899\pi$
$810$	−6.47339	−	1.63288i	−0.227452	−	0.0573736i
$811$	−11.2255	−	34.5484i	−0.394179	−	1.21316i	−0.929599	−	0.368573i	$-0.879846\pi$
$811$	−11.2255	−	34.5484i	−0.394179	−	1.21316i	0.535420	−	0.844586i	$-0.320154\pi$
$812$	−0.688979	−	6.55520i	−0.0241784	−	0.230042i
$813$	−40.8812	−	16.1360i	−1.43377	−	0.565913i
$814$	−17.8843	−	6.93415i	−0.626844	−	0.243042i
$815$	2.34269	+	4.05766i	0.0820608	+	0.142134i
$816$	3.98108	−	14.3172i	0.139366	−	0.501201i
$817$	−11.2079	−	2.38231i	−0.392115	−	0.0833466i
$818$	−3.37295	+	10.3809i	−0.117932	+	0.362958i
$819$	5.94326	+	30.8010i	0.207674	+	1.07627i
$820$	−4.11023	−	2.98626i	−0.143535	−	0.104285i
$821$	−10.9448	−	12.1554i	−0.381976	−	0.424227i	0.521242	−	0.853409i	$-0.325469\pi$
$821$	−10.9448	−	12.1554i	−0.381976	−	0.424227i	−0.903218	+	0.429181i	$0.858802\pi$
$822$	−17.2347	+	8.57817i	−0.601131	+	0.299198i
$823$	−23.9116	−	10.6461i	−0.833506	−	0.371101i	−0.0548060	−	0.998497i	$-0.517454\pi$
$823$	−23.9116	−	10.6461i	−0.833506	−	0.371101i	−0.778700	+	0.627396i	$0.784121\pi$
$824$	−3.17696	−	5.50265i	−0.110675	−	0.191694i
$825$	−9.02017	+	19.5826i	−0.314042	+	0.681780i
$826$	3.08070	−	5.33592i	0.107191	−	0.185661i
$827$	−4.48139	+	3.25592i	−0.155833	+	0.113219i	−0.662969	−	0.748647i	$-0.730704\pi$
$827$	−4.48139	+	3.25592i	−0.155833	+	0.113219i	0.507136	+	0.861866i	$0.330704\pi$
$828$	5.65978	+	8.10665i	0.196691	+	0.281726i
$829$	5.71784	−	17.5977i	0.198589	−	0.611194i	−0.801327	−	0.598227i	$-0.795872\pi$
$829$	5.71784	−	17.5977i	0.198589	−	0.611194i	0.999916	−	0.0129672i	$-0.00412771\pi$
$830$	−0.326637	+	0.145428i	−0.0113377	+	0.00504788i
$831$	−18.2812	+	0.785607i	−0.634167	+	0.0272524i
$832$	−1.91229	+	0.406470i	−0.0662968	+	0.0140918i
$833$	30.6020	−	33.9869i	1.06030	−	1.17758i
$834$	15.3090	−	3.94798i	0.530108	−	0.136707i
$835$	−8.84388	+	15.3180i	−0.306055	+	0.530103i
$836$	−9.42492	−	24.8015i	−0.325968	−	0.857776i
$837$	−1.26981	+	1.83947i	−0.0438912	+	0.0635813i
$838$	−9.35505	+	6.79684i	−0.323165	+	0.234793i
$839$	17.5727	+	3.73519i	0.606677	+	0.128953i	0.501000	−	0.865447i	$-0.332966\pi$
$839$	17.5727	+	3.73519i	0.606677	+	0.128953i	0.105677	+	0.994400i	$0.466299\pi$
$840$	−11.3652	+	13.7678i	−0.392135	+	0.475034i
$841$	2.90872	−	27.6746i	0.100301	−	0.954296i
$842$	0.315860	−	3.00520i	0.0108852	−	0.103566i
$843$	−13.6656	−	36.6270i	−0.470669	−	1.26150i
$844$	6.41952	+	1.36451i	0.220969	+	0.0469684i
$845$	5.26509	−	3.82531i	0.181125	−	0.131595i
$846$	−5.78858	+	24.9170i	−0.199015	+	0.856666i
$847$	−17.2053	−	39.3532i	−0.591182	−	1.35219i
$848$	−4.36299	+	7.55692i	−0.149826	+	0.259506i
$849$	−7.13004	−	7.26554i	−0.244702	−	0.249353i
$850$	9.25357	−	10.2771i	0.317395	−	0.352503i
$851$	18.0051	−	3.82710i	0.617207	−	0.131191i
$852$	7.88516	−	15.1219i	0.270141	−	0.518068i
$853$	25.4999	−	11.3533i	0.873099	−	0.388729i	0.0792581	−	0.996854i	$-0.474745\pi$
$853$	25.4999	−	11.3533i	0.873099	−	0.388729i	0.793841	+	0.608125i	$0.208078\pi$
$854$	−3.27389	+	10.0760i	−0.112030	+	0.344794i
$855$	−17.1293	+	1.47494i	−0.585809	+	0.0504418i
$856$	19.6546	−	14.2799i	0.671781	−	0.488077i
$857$	4.24983	−	7.36093i	0.145172	−	0.251445i	−0.784265	−	0.620426i	$-0.786960\pi$
$857$	4.24983	−	7.36093i	0.145172	−	0.251445i	0.929437	+	0.368981i	$0.120293\pi$
$858$	−8.78469	−	5.22256i	−0.299904	−	0.178295i
$859$	−13.9259	−	24.1203i	−0.475145	−	0.822974i	0.524450	−	0.851441i	$-0.324271\pi$
$859$	−13.9259	−	24.1203i	−0.475145	−	0.822974i	−0.999595	+	0.0284667i	$0.990938\pi$
$860$	3.54975	+	1.58045i	0.121046	+	0.0538929i
$861$	−1.21870	+	19.7037i	−0.0415331	+	0.671499i
$862$	−5.54971	−	6.16357i	−0.189024	−	0.209932i
$863$	−10.9978	−	7.99035i	−0.374368	−	0.271995i	0.384652	−	0.923062i	$-0.374322\pi$
$863$	−10.9978	−	7.99035i	−0.374368	−	0.271995i	−0.759020	+	0.651067i	$0.774322\pi$
$864$	28.2130	−	9.92545i	0.959827	−	0.337671i
$865$	−0.898141	+	2.76419i	−0.0305377	+	0.0939854i
$866$	18.6404	+	3.96213i	0.633425	+	0.134639i
$867$	−23.0854	+	5.95339i	−0.784021	+	0.202188i
$868$	1.30897	+	2.26720i	0.0444293	+	0.0769538i
$869$	0.833885	−	14.9504i	0.0282876	−	0.507156i
$870$	1.08961	−	0.865495i	0.0369412	−	0.0293430i
$871$	2.72977	+	25.9720i	0.0924946	+	0.880028i
$872$	1.72617	+	5.31260i	0.0584555	+	0.179907i
$873$	−0.452669	+	24.0427i	−0.0153205	+	0.813722i
$874$	−5.83221	−	4.23735i	−0.197278	−	0.143331i
$875$	34.8635	−	15.5222i	1.17860	−	0.524748i
$876$	−31.0771	−	5.22244i	−1.05000	−	0.176450i
$877$	24.2078	−	26.8855i	0.817439	−	0.907858i	−0.179679	−	0.983725i	$-0.557506\pi$
$877$	24.2078	−	26.8855i	0.817439	−	0.907858i	0.997118	+	0.0758674i	$0.0241726\pi$
$878$	2.49314	+	1.11002i	0.0841392	+	0.0374612i
$879$	−1.80785	−	12.1536i	−0.0609772	−	0.409932i
$880$	0.877135	+	5.66103i	0.0295682	+	0.190833i
$881$	26.6423			0.897601			0.448800	−	0.893632i	$-0.351851\pi$
$881$	26.6423			0.897601			0.448800	+	0.893632i	$0.351851\pi$
$882$	16.3076	+	2.02504i	0.549106	+	0.0681867i
$883$	−6.32757	−	19.4743i	−0.212940	−	0.655361i	−0.999293	−	0.0375844i	$-0.988034\pi$
$883$	−6.32757	−	19.4743i	−0.212940	−	0.655361i	0.786354	−	0.617776i	$-0.211966\pi$
$884$	−15.4918	−	17.2054i	−0.521047	−	0.578681i
$885$	−4.58984	+	0.197242i	−0.154286	+	0.00663022i
$886$	−1.47420	+	14.0261i	−0.0495267	+	0.471215i
$887$	31.3019	−	6.65342i	1.05101	−	0.223400i	0.350149	−	0.936694i	$-0.386131\pi$
$887$	31.3019	−	6.65342i	1.05101	−	0.223400i	0.700865	+	0.713294i	$0.252798\pi$
$888$	2.20067	−	35.5800i	0.0738497	−	1.19399i
$889$	−3.12278	−	29.7113i	−0.104735	−	0.996484i
$890$	−11.9303			−0.399906
$891$	27.4050	+	11.8307i	0.918103	+	0.396342i
$892$	10.6911			0.357963
$893$	6.88592	+	65.5151i	0.230428	+	2.19238i
$894$	0.394917	−	6.38495i	0.0132080	−	0.213545i
$895$	−8.28780	+	1.76163i	−0.277031	+	0.0588847i
$896$	4.50036	−	42.8181i	0.150347	−	1.43045i
$897$	9.79837	−	0.421071i	0.327158	−	0.0140591i
$898$	−11.5107	−	12.7839i	−0.384118	−	0.426606i
$899$	−0.143966	−	0.443082i	−0.00480153	−	0.0147776i
$900$	−17.4161	−	2.16269i	−0.580537	−	0.0720897i
$901$	31.2892			1.04239
$902$	−4.53253	−	4.56308i	−0.150917	−	0.151934i
$903$	−2.22146	−	14.9342i	−0.0739256	−	0.496980i
$904$	3.30962	+	1.47354i	0.110076	+	0.0490091i
$905$	−1.79334	+	1.99171i	−0.0596127	+	0.0662066i
$906$	−0.185990	−	0.0312553i	−0.00617911	−	0.00103839i
$907$	−44.8096	+	19.9505i	−1.48788	+	0.662447i	−0.980003	−	0.198983i	$-0.936236\pi$
$907$	−44.8096	+	19.9505i	−1.48788	+	0.662447i	−0.507877	+	0.861430i	$0.669569\pi$
$908$	35.4717	+	25.7717i	1.17717	+	0.855265i
$909$	−0.0994669	+	5.28301i	−0.00329911	+	0.175226i
$910$	2.39689	+	7.37687i	0.0794561	+	0.244541i
$911$	2.44401	+	23.2532i	0.0809736	+	0.770413i	0.957378	+	0.288837i	$0.0932686\pi$
$911$	2.44401	+	23.2532i	0.0809736	+	0.770413i	−0.876405	+	0.481576i	$0.840065\pi$
$912$	10.7672	−	8.55253i	0.356536	−	0.283203i
$913$	1.54553	−	0.408565i	0.0511497	−	0.0135215i
$914$	−3.42253	−	5.92800i	−0.113207	−	0.196081i
$915$	7.64927	−	1.97264i	0.252877	−	0.0652134i
$916$	−21.3975	−	4.54819i	−0.706995	−	0.150276i
$917$	6.46615	−	19.9008i	0.213531	−	0.657181i
$918$	−14.5333	−	12.4644i	−0.479671	−	0.411388i
$919$	6.14797	+	4.46676i	0.202803	+	0.147345i	0.684551	−	0.728965i	$-0.259998\pi$
$919$	6.14797	+	4.46676i	0.202803	+	0.147345i	−0.481749	+	0.876309i	$0.659998\pi$
$920$	3.73479	+	4.14791i	0.123132	+	0.136752i
$921$	1.98207	−	32.0458i	0.0653116	−	1.05594i
$922$	15.4472	+	6.87755i	0.508728	+	0.226500i
$923$	−8.45857	−	14.6507i	−0.278417	−	0.482233i
$924$	26.2777	−	23.0597i	0.864474	−	0.758609i
$925$	−16.3371	+	28.2967i	−0.537160	+	0.930389i
$926$	−21.4202	+	15.5627i	−0.703910	+	0.511421i
$927$	8.03327	−	0.691714i	0.263847	−	0.0227189i
$928$	−1.92634	+	5.92866i	−0.0632352	+	0.194618i
$929$	−13.5906	+	6.05092i	−0.445893	+	0.198524i	−0.617385	−	0.786661i	$-0.711808\pi$
$929$	−13.5906	+	6.05092i	−0.445893	+	0.198524i	0.171492	+	0.985185i	$0.445141\pi$
$930$	−0.255538	+	0.490062i	−0.00837941	+	0.0160698i
$931$	41.3937	−	8.79850i	1.35662	−	0.288359i
$932$	15.1329	−	16.8068i	0.495696	−	0.550526i
$933$	8.34199	+	8.50053i	0.273105	+	0.278295i
$934$	−5.77192	+	9.99727i	−0.188863	+	0.327121i
$935$	16.0069	−	12.8733i	0.523482	−	0.421003i
$936$	4.29794	−	18.5006i	0.140482	−	0.604710i
$937$	−14.4192	+	10.4762i	−0.471056	+	0.342242i	−0.797853	−	0.602853i	$-0.794031\pi$
$937$	−14.4192	+	10.4762i	−0.471056	+	0.342242i	0.326797	+	0.945095i	$0.394031\pi$
$938$	24.7418	+	5.25904i	0.807850	+	0.171714i
$939$	−15.3339	−	41.0982i	−0.500401	−	1.34119i
$940$	2.33512	−	22.2172i	0.0761633	−	0.724645i
$941$	−4.45909	+	42.4254i	−0.145362	+	1.38303i	0.642078	+	0.766639i	$0.278072\pi$
$941$	−4.45909	+	42.4254i	−0.145362	+	1.38303i	−0.787441	+	0.616391i	$0.788594\pi$
$942$	−17.4724	+	21.1661i	−0.569283	+	0.689630i
$943$	6.03716	+	1.28324i	0.196597	+	0.0417879i
$944$	2.97257	−	2.15970i	0.0967491	−	0.0702923i
$945$	−9.71100	−	20.4678i	−0.315899	−	0.665819i
$946$	4.11641	+	2.69293i	0.133836	+	0.0875548i
$947$	−3.44670	+	5.96986i	−0.112003	+	0.193994i	−0.916578	−	0.399857i	$-0.869060\pi$
$947$	−3.44670	+	5.96986i	−0.112003	+	0.193994i	0.804575	+	0.593851i	$0.202393\pi$
$948$	11.8023	−	3.04364i	0.383320	−	0.0988527i
$949$	−20.9167	+	23.2303i	−0.678984	+	0.754088i
$950$	12.5168	−	2.66053i	0.406099	−	0.0863190i
$951$	18.9991	−	0.816459i	0.616088	−	0.0264755i
$952$	−46.7725	+	20.8245i	−1.51591	+	0.674925i
$953$	−7.31766	+	22.5214i	−0.237042	+	0.729541i	0.759802	+	0.650155i	$0.225296\pi$
$953$	−7.31766	+	22.5214i	−0.237042	+	0.729541i	−0.996844	+	0.0793863i	$0.974704\pi$
$954$	6.43588	+	9.21829i	0.208369	+	0.298453i
$955$	14.9220	−	10.8415i	0.482866	−	0.350822i
$956$	−19.5989	+	33.9463i	−0.633874	+	1.09790i
$957$	−5.42735	+	3.04173i	−0.175441	+	0.0983251i
$958$	−7.27297	−	12.5972i	−0.234979	−	0.406996i
$959$	−59.6798	−	26.5712i	−1.92716	−	0.858027i
$960$	1.26400	−	0.629123i	0.0407953	−	0.0203048i
$961$	−20.6192	−	22.9000i	−0.665137	−	0.738709i
$962$	−12.5301	−	9.10366i	−0.403987	−	0.293514i
$963$	5.84095	+	30.2708i	0.188222	+	0.975462i
$964$	−8.54567	+	26.3009i	−0.275238	+	0.847094i
$965$	8.88519	+	1.88860i	0.286024	+	0.0607963i
$966$	2.54485	−	9.15206i	0.0818793	−	0.294463i
$967$	15.5700	+	26.9680i	0.500696	+	0.867231i	1.00000		0.000804082i	$0.000255947\pi$
$967$	15.5700	+	26.9680i	0.500696	+	0.867231i	−0.499303	+	0.866427i	$0.666411\pi$
$968$	−0.174718	+	26.0045i	−0.00561565	+	0.835818i
$969$	−45.8628	−	18.1022i	−1.47333	−	0.581527i
$970$	0.621524	+	5.91340i	0.0199559	+	0.189868i
$971$	4.12687	+	12.7012i	0.132438	+	0.407601i	0.995183	−	0.0980383i	$-0.0312568\pi$
$971$	4.12687	+	12.7012i	0.132438	+	0.407601i	−0.862745	+	0.505639i	$0.831257\pi$
$972$	−2.41176	+	24.1774i	−0.0773571	+	0.775490i
$973$	43.4028	+	31.5340i	1.39143	+	1.01093i
$974$	−1.98522	+	0.883879i	−0.0636107	+	0.0283213i
$975$	−11.0826	+	13.4254i	−0.354926	+	0.429958i
$976$	−4.22755	+	4.69517i	−0.135321	+	0.150289i
$977$	−8.14511	−	3.62644i	−0.260585	−	0.116020i	0.272286	−	0.962216i	$-0.412220\pi$
$977$	−8.14511	−	3.62644i	−0.260585	−	0.116020i	−0.532871	+	0.846196i	$0.678887\pi$
$978$	−3.78057	+	3.00297i	−0.120889	+	0.0960244i
$979$	52.6564	+	8.52137i	1.68290	+	0.272344i
$980$	−14.3508			−0.458421
$981$	−7.03450	−	0.873527i	−0.224594	−	0.0278896i
$982$	1.48297	+	4.56411i	0.0473234	+	0.145647i
$983$	−11.2806	−	12.5283i	−0.359794	−	0.399592i	0.535886	−	0.844290i	$-0.319978\pi$
$983$	−11.2806	−	12.5283i	−0.359794	−	0.399592i	−0.895680	+	0.444698i	$0.853311\pi$
$984$	5.52650	−	10.5985i	0.176178	−	0.337869i
$985$	2.67370	−	25.4386i	0.0851912	−	0.810541i
$986$	3.90347	−	0.829709i	0.124312	−	0.0264233i
$987$	−77.7109	+	38.6787i	−2.47357	+	1.23116i
$988$	−2.23933	−	21.3058i	−0.0712425	−	0.677827i
$989$	−4.72049			−0.150103
$990$	7.08515	+	2.06796i	0.225181	+	0.0657242i
$991$	−33.5356			−1.06529			−0.532647	−	0.846338i	$-0.678803\pi$
$991$	−33.5356			−1.06529			−0.532647	+	0.846338i	$0.678803\pi$
$992$	−0.258805	−	2.46237i	−0.00821707	−	0.0781802i
$993$	5.35640	+	3.55061i	0.169980	+	0.112675i
$994$	−16.0276	+	3.40677i	−0.508364	+	0.108056i
$995$	−1.08219	+	10.2964i	−0.0343078	+	0.326417i
$996$	0.698419	+	1.09796i	0.0221302	+	0.0347902i
$997$	−2.17044	−	2.41052i	−0.0687385	−	0.0763419i	0.707795	−	0.706418i	$-0.249690\pi$
$997$	−2.17044	−	2.41052i	−0.0687385	−	0.0763419i	−0.776533	+	0.630076i	$0.783024\pi$
$998$	−3.04532	−	9.37254i	−0.0963980	−	0.296682i
$999$	39.7102	+	21.6668i	1.25638	+	0.685509i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.25.6	yes	72
3.2	odd	2		297.2.n.b.289.4		72
9.2	odd	6		891.2.f.e.487.4		36
9.4	even	3	inner	99.2.m.b.58.4	yes	72
9.5	odd	6		297.2.n.b.91.6		72
9.7	even	3		891.2.f.f.487.6		36
11.2	odd	10		1089.2.e.o.727.8		36
11.4	even	5	inner	99.2.m.b.70.4	yes	72
11.9	even	5		1089.2.e.p.727.11		36
33.26	odd	10		297.2.n.b.235.6		72
99.2	even	30		9801.2.a.cn.1.8		18
99.4	even	15	inner	99.2.m.b.4.6	✓	72
99.13	odd	30		1089.2.e.o.364.8		36
99.20	odd	30		9801.2.a.cp.1.11		18
99.31	even	15		1089.2.e.p.364.11		36
99.59	odd	30		297.2.n.b.37.4		72
99.70	even	15		891.2.f.f.730.6		36
99.79	odd	30		9801.2.a.co.1.11		18
99.92	odd	30		891.2.f.e.730.4		36
99.97	even	15		9801.2.a.cm.1.8		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.4.6	✓	72	99.4	even	15	inner
99.2.m.b.25.6	yes	72	1.1	even	1	trivial
99.2.m.b.58.4	yes	72	9.4	even	3	inner
99.2.m.b.70.4	yes	72	11.4	even	5	inner
297.2.n.b.37.4		72	99.59	odd	30
297.2.n.b.91.6		72	9.5	odd	6
297.2.n.b.235.6		72	33.26	odd	10
297.2.n.b.289.4		72	3.2	odd	2
891.2.f.e.487.4		36	9.2	odd	6
891.2.f.e.730.4		36	99.92	odd	30
891.2.f.f.487.6		36	9.7	even	3
891.2.f.f.730.6		36	99.70	even	15
1089.2.e.o.364.8		36	99.13	odd	30
1089.2.e.o.727.8		36	11.2	odd	10
1089.2.e.p.364.11		36	99.31	even	15
1089.2.e.p.727.11		36	11.9	even	5
9801.2.a.cm.1.8		18	99.97	even	15
9801.2.a.cn.1.8		18	99.2	even	30
9801.2.a.co.1.11		18	99.79	odd	30
9801.2.a.cp.1.11		18	99.20	odd	30

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0694404 + 0.660681i) q^{2} +(-0.106925 + 1.72875i) q^{3} +(1.52462 - 0.324067i) q^{4} +(-0.116719 + 1.11051i) q^{5} +(-1.14958 + 0.0494014i) q^{6} +(-2.61265 - 2.90164i) q^{7} +(0.730548 + 2.24840i) q^{8} +(-2.97713 - 0.369694i) q^{9} -0.741796 q^{10} +(3.27403 + 0.529836i) q^{11} +(0.397211 + 2.67033i) q^{12} +(2.44648 + 1.08924i) q^{13} +(1.73564 - 1.92762i) q^{14} +(-1.90730 - 0.320519i) q^{15} +(1.41310 - 0.629154i) q^{16} +(-4.48727 - 3.26019i) q^{17} +(0.0375162 - 1.99261i) q^{18} +(-1.58598 - 4.88115i) q^{19} +(0.181927 + 1.73092i) q^{20} +(5.29556 - 4.20635i) q^{21} +(-0.122703 + 2.19988i) q^{22} +(-1.05719 - 1.83110i) q^{23} +(-3.96502 + 1.02252i) q^{24} +(3.67114 + 0.780324i) q^{25} +(-0.549758 + 1.69198i) q^{26} +(0.957438 - 5.10718i) q^{27} +(-4.92362 - 3.57722i) q^{28} +(0.724696 + 0.804856i) q^{29} +(0.0793167 - 1.28238i) q^{30} +(-0.392973 - 0.174963i) q^{31} +(2.87790 + 4.98467i) q^{32} +(-1.26603 + 5.60332i) q^{33} +(1.84235 - 3.19104i) q^{34} +(3.52724 - 2.56269i) q^{35} +(-4.65880 + 0.401151i) q^{36} +(-2.69024 + 8.27970i) q^{37} +(3.11475 - 1.38678i) q^{38} +(-2.14462 + 4.11288i) q^{39} +(-2.58213 + 0.548848i) q^{40} +(-1.95324 + 2.16930i) q^{41} +(3.14678 + 3.20659i) q^{42} +(1.11628 - 1.93346i) q^{43} +(5.16335 - 0.253209i) q^{44} +(0.758035 - 3.26298i) q^{45} +(1.13637 - 0.825618i) q^{46} +(-12.5550 - 2.66864i) q^{47} +(0.936552 + 2.51017i) q^{48} +(-0.861884 + 8.20028i) q^{49} +(-0.260620 + 2.47964i) q^{50} +(6.11585 - 7.40876i) q^{51} +(4.08293 + 0.867854i) q^{52} +(-4.56381 + 3.31581i) q^{53} +(3.44070 + 0.277916i) q^{54} +(-0.970527 + 3.57399i) q^{55} +(4.61537 - 7.99405i) q^{56} +(8.60785 - 2.21984i) q^{57} +(-0.481430 + 0.534682i) q^{58} +(2.32346 - 0.493867i) q^{59} +(-3.01178 + 0.129427i) q^{60} +(-3.73133 + 1.66130i) q^{61} +(0.0883065 - 0.271779i) q^{62} +(6.70549 + 9.60445i) q^{63} +(-0.590604 + 0.429099i) q^{64} +(-1.49516 + 2.58969i) q^{65} +(-3.78992 - 0.447345i) q^{66} +(4.87584 + 8.44521i) q^{67} +(-7.89789 - 3.51637i) q^{68} +(3.27856 - 1.63182i) q^{69} +(1.93805 + 2.15242i) q^{70} +(-5.11062 - 3.71308i) q^{71} +(-1.34372 - 6.96385i) q^{72} +(-3.60705 + 11.1014i) q^{73} +(-5.65706 - 1.20244i) q^{74} +(-1.74152 + 6.26303i) q^{75} +(-3.99983 - 6.92792i) q^{76} +(-7.01650 - 10.8843i) q^{77} +(-2.86622 - 1.13131i) q^{78} +(-0.471916 - 4.48998i) q^{79} +(0.533744 + 1.64269i) q^{80} +(8.72665 + 2.20125i) q^{81} +(-1.56885 - 1.13983i) q^{82} +(0.440332 - 0.196049i) q^{83} +(6.71056 - 8.12919i) q^{84} +(4.14421 - 4.60261i) q^{85} +(1.35492 + 0.603248i) q^{86} +(-1.46888 + 1.16676i) q^{87} +(1.20056 + 7.74839i) q^{88} +16.0830 q^{89} +(2.20843 + 0.274237i) q^{90} +(-3.23120 - 9.94461i) q^{91} +(-2.20521 - 2.44913i) q^{92} +(0.344485 - 0.660643i) q^{93} +(0.891300 - 8.48015i) q^{94} +(5.60566 - 1.19152i) q^{95} +(-8.92495 + 4.44217i) q^{96} +(-0.837864 - 7.97174i) q^{97} -5.47762 q^{98} +(-9.55135 - 2.78778i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Introduction

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