LMFDB - Embedded newform 483.2.bb.a.26.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 55, 48]))

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

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

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bb (of order $66$, degree $20$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			26.1
Character	$\chi$	$=$	483.26
Dual form			483.2.bb.a.353.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.01420 + 2.53335i) q^{2} +(-1.73203 - 0.00746686i) q^{3} +(-3.94179 - 3.75849i) q^{4} +(0.322502 + 0.931809i) q^{5} +(1.77555 - 4.38028i) q^{6} +(2.53241 - 0.766108i) q^{7} +(8.55491 - 3.90689i) q^{8} +(2.99989 + 0.0258657i) q^{9} +O(q^{10})$	\(q+(-1.01420 + 2.53335i) q^{2} +(-1.73203 - 0.00746686i) q^{3} +(-3.94179 - 3.75849i) q^{4} +(0.322502 + 0.931809i) q^{5} +(1.77555 - 4.38028i) q^{6} +(2.53241 - 0.766108i) q^{7} +(8.55491 - 3.90689i) q^{8} +(2.99989 + 0.0258657i) q^{9} +(-2.68768 - 0.128030i) q^{10} +(-0.0403107 - 0.100691i) q^{11} +(6.79926 + 6.53927i) q^{12} +(-2.73163 + 4.25050i) q^{13} +(-0.627547 + 7.19246i) q^{14} +(-0.551627 - 1.61633i) q^{15} +(0.702836 + 14.7544i) q^{16} +(-0.149429 - 0.615953i) q^{17} +(-3.10802 + 7.57354i) q^{18} +(3.34791 + 0.812193i) q^{19} +(2.23096 - 4.88512i) q^{20} +(-4.39193 + 1.30802i) q^{21} +0.295969 q^{22} +(2.81975 + 3.87931i) q^{23} +(-14.8466 + 6.70300i) q^{24} +(3.16601 - 2.48977i) q^{25} +(-7.99758 - 11.2310i) q^{26} +(-5.19572 - 0.0672001i) q^{27} +(-12.8616 - 6.49819i) q^{28} +(1.83816 - 6.26021i) q^{29} +(4.65420 + 0.241821i) q^{30} +(4.69260 + 3.34158i) q^{31} +(-20.3157 - 7.03133i) q^{32} +(0.0690676 + 0.174702i) q^{33} +(1.71197 + 0.246145i) q^{34} +(1.53057 + 2.11265i) q^{35} +(-11.7277 - 11.3770i) q^{36} +(-10.0503 + 1.93705i) q^{37} +(-5.45302 + 7.65769i) q^{38} +(4.76301 - 7.34161i) q^{39} +(6.39946 + 6.71156i) q^{40} +(-0.379154 + 0.437568i) q^{41} +(1.14064 - 12.4529i) q^{42} +(-3.16874 + 6.93858i) q^{43} +(-0.219551 + 0.548411i) q^{44} +(0.943369 + 2.80366i) q^{45} +(-12.6874 + 3.20902i) q^{46} +(-2.59330 + 4.49172i) q^{47} +(-1.10717 - 25.5603i) q^{48} +(5.82616 - 3.88019i) q^{49} +(3.09651 + 10.5457i) q^{50} +(0.254216 + 1.06797i) q^{51} +(26.7430 - 6.48778i) q^{52} +(-2.99252 + 5.80468i) q^{53} +(5.43974 - 13.0944i) q^{54} +(0.0808246 - 0.0700349i) q^{55} +(18.6714 - 16.4478i) q^{56} +(-5.79262 - 1.43174i) q^{57} +(13.9950 + 11.0058i) q^{58} +(-0.433280 + 9.09566i) q^{59} +(-3.90058 + 8.44454i) q^{60} +(-0.665259 + 6.96691i) q^{61} +(-13.2246 + 8.49896i) q^{62} +(7.61675 - 2.23274i) q^{63} +(19.0710 - 22.0091i) q^{64} +(-4.84161 - 1.17456i) q^{65} +(-0.512629 - 0.00220996i) q^{66} +(5.78782 - 4.55159i) q^{67} +(-1.72604 + 2.98959i) q^{68} +(-4.85494 - 6.74015i) q^{69} +(-6.90438 + 1.73483i) q^{70} +(-2.65311 + 0.381460i) q^{71} +(25.7648 - 11.4990i) q^{72} +(-3.60536 + 3.78119i) q^{73} +(5.28585 - 27.4256i) q^{74} +(-5.50222 + 4.28873i) q^{75} +(-10.1441 - 15.7846i) q^{76} +(-0.179223 - 0.224108i) q^{77} +(13.7682 + 19.5122i) q^{78} +(-5.45670 + 2.81312i) q^{79} +(-13.5216 + 5.41322i) q^{80} +(8.99866 + 0.155189i) q^{81} +(-0.723973 - 1.40431i) q^{82} +(11.1654 + 12.8855i) q^{83} +(22.2283 + 11.3511i) q^{84} +(0.525759 - 0.337885i) q^{85} +(-14.3641 - 15.0646i) q^{86} +(-3.23051 + 10.8292i) q^{87} +(-0.738243 - 0.703914i) q^{88} +(-5.09420 - 7.15380i) q^{89} +(-8.05943 - 0.453595i) q^{90} +(-3.66125 + 12.8567i) q^{91} +(3.46547 - 25.8894i) q^{92} +(-8.10279 - 5.82278i) q^{93} +(-8.74899 - 11.1252i) q^{94} +(0.322898 + 3.38154i) q^{95} +(35.1350 + 12.3302i) q^{96} +(7.62942 + 6.61093i) q^{97} +(3.92100 + 18.6950i) q^{98} +(-0.118323 - 0.303105i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{11}\right)$

Coefficient data

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

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

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

$2$	−1.01420	+	2.53335i	−0.717148	+	1.79135i	−0.114374	+	0.993438i	$0.536486\pi$
$2$	−1.01420	+	2.53335i	−0.717148	+	1.79135i	−0.602774	+	0.797912i	$0.705938\pi$
$3$	−1.73203	−	0.00746686i	−0.999991	−	0.00431100i
$3$	−1.73203	−	0.00746686i	−0.999991	−	0.00431100i
$4$	−3.94179	−	3.75849i	−1.97090	−	1.87925i
$5$	0.322502	+	0.931809i	0.144227	+	0.416718i	0.993858	−	0.110660i	$-0.0352965\pi$
$5$	0.322502	+	0.931809i	0.144227	+	0.416718i	−0.849631	+	0.527378i	$0.823175\pi$
$6$	1.77555	−	4.38028i	0.724864	−	1.78824i
$7$	2.53241	−	0.766108i	0.957159	−	0.289562i
$7$	2.53241	−	0.766108i	0.957159	−	0.289562i
$8$	8.55491	−	3.90689i	3.02462	−	1.38130i
$9$	2.99989	+	0.0258657i	0.999963	+	0.00862191i
$10$	−2.68768	−	0.128030i	−0.849919	−	0.0404866i
$11$	−0.0403107	−	0.100691i	−0.0121541	−	0.0303595i	0.922167	−	0.386793i	$-0.126417\pi$
$11$	−0.0403107	−	0.100691i	−0.0121541	−	0.0303595i	−0.934321	+	0.356433i	$0.883993\pi$
$12$	6.79926	+	6.53927i	1.96278	+	1.88773i
$13$	−2.73163	+	4.25050i	−0.757617	+	1.17888i	0.221417	+	0.975179i	$0.428932\pi$
$13$	−2.73163	+	4.25050i	−0.757617	+	1.17888i	−0.979034	+	0.203696i	$0.934705\pi$
$14$	−0.627547	+	7.19246i	−0.167719	+	1.92227i
$15$	−0.551627	−	1.61633i	−0.142430	−	0.417336i
$16$	0.702836	+	14.7544i	0.175709	+	3.68859i
$17$	−0.149429	−	0.615953i	−0.0362417	−	0.149391i	0.950816	−	0.309757i	$-0.100248\pi$
$17$	−0.149429	−	0.615953i	−0.0362417	−	0.149391i	−0.987058	+	0.160366i	$0.948732\pi$
$18$	−3.10802	+	7.57354i	−0.732566	+	1.78510i
$19$	3.34791	+	0.812193i	0.768062	+	0.186330i	0.600601	−	0.799549i	$-0.294928\pi$
$19$	3.34791	+	0.812193i	0.768062	+	0.186330i	0.167461	+	0.985879i	$0.446443\pi$
$20$	2.23096	−	4.88512i	0.498858	−	1.09235i
$21$	−4.39193	+	1.30802i	−0.958399	+	0.285433i
$22$	0.295969			0.0631008
$23$	2.81975	+	3.87931i	0.587959	+	0.808891i
$23$	2.81975	+	3.87931i	0.587959	+	0.808891i
$24$	−14.8466	+	6.70300i	−3.03054	+	1.36824i
$25$	3.16601	−	2.48977i	0.633201	−	0.497955i
$26$	−7.99758	−	11.2310i	−1.56845	−	2.20259i
$27$	−5.19572	−	0.0672001i	−0.999916	−	0.0129327i
$28$	−12.8616	−	6.49819i	−2.43062	−	1.22804i
$29$	1.83816	−	6.26021i	0.341338	−	1.16249i	−0.592731	−	0.805401i	$-0.701950\pi$
$29$	1.83816	−	6.26021i	0.341338	−	1.16249i	0.934069	−	0.357091i	$-0.116232\pi$
$30$	4.65420	+	0.241821i	0.849737	+	0.0441503i
$31$	4.69260	+	3.34158i	0.842815	+	0.600166i	0.917811	−	0.397018i	$-0.129955\pi$
$31$	4.69260	+	3.34158i	0.842815	+	0.600166i	−0.0749957	+	0.997184i	$0.523894\pi$
$32$	−20.3157	−	7.03133i	−3.59134	−	1.24297i
$33$	0.0690676	+	0.174702i	0.0120231	+	0.0304116i
$34$	1.71197	+	0.246145i	0.293601	+	0.0422135i
$35$	1.53057	+	2.11265i	0.258714	+	0.357102i
$36$	−11.7277	−	11.3770i	−1.95462	−	1.89617i
$37$	−10.0503	+	1.93705i	−1.65227	+	0.318448i	−0.928425	−	0.371519i	$-0.878837\pi$
$37$	−10.0503	+	1.93705i	−1.65227	+	0.318448i	−0.723841	+	0.689967i	$0.757625\pi$
$38$	−5.45302	+	7.65769i	−0.884596	+	1.24224i
$39$	4.76301	−	7.34161i	0.762692	−	1.17560i
$40$	6.39946	+	6.71156i	1.01184	+	1.06119i
$41$	−0.379154	+	0.437568i	−0.0592140	+	0.0683366i	−0.784584	−	0.620023i	$-0.787123\pi$
$41$	−0.379154	+	0.437568i	−0.0592140	+	0.0683366i	0.725370	+	0.688359i	$0.241669\pi$
$42$	1.14064	−	12.4529i	0.176004	−	1.92152i
$43$	−3.16874	+	6.93858i	−0.483229	+	1.05812i	0.498334	+	0.866985i	$0.333945\pi$
$43$	−3.16874	+	6.93858i	−0.483229	+	1.05812i	−0.981563	+	0.191138i	$0.938782\pi$
$44$	−0.219551	+	0.548411i	−0.0330985	+	0.0826761i
$45$	0.943369	+	2.80366i	0.140629	+	0.417946i
$46$	−12.6874	+	3.20902i	−1.87066	+	0.473145i
$47$	−2.59330	+	4.49172i	−0.378271	+	0.655185i	−0.990811	−	0.135255i	$-0.956815\pi$
$47$	−2.59330	+	4.49172i	−0.378271	+	0.655185i	0.612540	+	0.790440i	$0.290148\pi$
$48$	−1.10717	−	25.5603i	−0.159806	−	3.68931i
$49$	5.82616	−	3.88019i	0.832308	−	0.554313i
$50$	3.09651	+	10.5457i	0.437912	+	1.49139i
$51$	0.254216	+	1.06797i	0.0355974	+	0.149545i
$52$	26.7430	−	6.48778i	3.70858	−	0.899693i
$53$	−2.99252	+	5.80468i	−0.411054	+	0.797334i	−0.999941	−	0.0108814i	$-0.996536\pi$
$53$	−2.99252	+	5.80468i	−0.411054	+	0.797334i	0.588886	+	0.808216i	$0.299567\pi$
$54$	5.43974	−	13.0944i	0.740255	−	1.78192i
$55$	0.0808246	−	0.0700349i	0.0108984	−	0.00944351i
$56$	18.6714	−	16.4478i	2.49507	−	2.19793i
$57$	−5.79262	−	1.43174i	−0.767252	−	0.189639i
$58$	13.9950	+	11.0058i	1.83764	+	1.44514i
$59$	−0.433280	+	9.09566i	−0.0564082	+	1.18415i	0.776271	+	0.630399i	$0.217109\pi$
$59$	−0.433280	+	9.09566i	−0.0564082	+	1.18415i	−0.832679	+	0.553755i	$0.813194\pi$
$60$	−3.90058	+	8.44454i	−0.503562	+	1.09019i
$61$	−0.665259	+	6.96691i	−0.0851777	+	0.892021i	0.847377	+	0.530992i	$0.178181\pi$
$61$	−0.665259	+	6.96691i	−0.0851777	+	0.892021i	−0.932555	+	0.361029i	$0.882426\pi$
$62$	−13.2246	+	8.49896i	−1.67953	+	1.07937i
$63$	7.61675	−	2.23274i	0.959620	−	0.281298i
$64$	19.0710	−	22.0091i	2.38387	−	2.75114i
$65$	−4.84161	−	1.17456i	−0.600527	−	0.145686i
$66$	−0.512629	−	0.00220996i	−0.0631002	−	0.000272027i
$67$	5.78782	−	4.55159i	0.707095	−	0.556066i	−0.198556	−	0.980090i	$-0.563625\pi$
$67$	5.78782	−	4.55159i	0.707095	−	0.556066i	0.905651	+	0.424024i	$0.139383\pi$
$68$	−1.72604	+	2.98959i	−0.209313	+	0.362541i
$69$	−4.85494	−	6.74015i	−0.584466	−	0.811418i
$70$	−6.90438	+	1.73483i	−0.825232	+	0.207352i
$71$	−2.65311	+	0.381460i	−0.314867	+	0.0452710i	−0.297937	−	0.954586i	$-0.596298\pi$
$71$	−2.65311	+	0.381460i	−0.314867	+	0.0452710i	−0.0169301	+	0.999857i	$0.505389\pi$
$72$	25.7648	−	11.4990i	3.03641	−	1.35517i
$73$	−3.60536	+	3.78119i	−0.421975	+	0.442555i	−0.900065	−	0.435756i	$-0.856481\pi$
$73$	−3.60536	+	3.78119i	−0.421975	+	0.442555i	0.478090	+	0.878311i	$0.341329\pi$
$74$	5.28585	−	27.4256i	0.614468	−	3.18816i
$75$	−5.50222	+	4.28873i	−0.635342	+	0.495220i
$76$	−10.1441	−	15.7846i	−1.16361	−	1.81062i
$77$	−0.179223	−	0.224108i	−0.0204244	−	0.0255395i
$78$	13.7682	+	19.5122i	1.55894	+	2.20933i
$79$	−5.45670	+	2.81312i	−0.613927	+	0.316501i	−0.736996	−	0.675897i	$-0.763756\pi$
$79$	−5.45670	+	2.81312i	−0.613927	+	0.316501i	0.123070	+	0.992398i	$0.460726\pi$
$80$	−13.5216	+	5.41322i	−1.51176	+	0.605216i
$81$	8.99866	+	0.155189i	0.999851	+	0.0172432i
$82$	−0.723973	−	1.40431i	−0.0799495	−	0.155080i
$83$	11.1654	+	12.8855i	1.22556	+	1.41437i	0.879324	+	0.476224i	$0.157995\pi$
$83$	11.1654	+	12.8855i	1.22556	+	1.41437i	0.346236	+	0.938148i	$0.387460\pi$
$84$	22.2283	+	11.3511i	2.42530	+	1.23851i
$85$	0.525759	−	0.337885i	0.0570266	−	0.0366488i
$86$	−14.3641	−	15.0646i	−1.54892	−	1.62446i
$87$	−3.23051	+	10.8292i	−0.346347	+	1.16101i
$88$	−0.738243	−	0.703914i	−0.0786970	−	0.0750375i
$89$	−5.09420	−	7.15380i	−0.539984	−	0.758301i	0.450965	−	0.892542i	$-0.351080\pi$
$89$	−5.09420	−	7.15380i	−0.539984	−	0.758301i	−0.990949	+	0.134240i	$0.957141\pi$
$90$	−8.05943	−	0.453595i	−0.849539	−	0.0478131i
$91$	−3.66125	+	12.8567i	−0.383803	+	1.34775i
$92$	3.46547	−	25.8894i	0.361300	−	2.69916i
$93$	−8.10279	−	5.82278i	−0.840220	−	0.603794i
$94$	−8.74899	−	11.1252i	−0.902389	−	1.14748i
$95$	0.322898	+	3.38154i	0.0331286	+	0.346939i
$96$	35.1350	+	12.3302i	3.58595	+	1.25845i
$97$	7.62942	+	6.61093i	0.774650	+	0.671238i	0.949644	−	0.313331i	$-0.101445\pi$
$97$	7.62942	+	6.61093i	0.774650	+	0.671238i	−0.174994	+	0.984570i	$0.555990\pi$
$98$	3.92100	+	18.6950i	0.396081	+	1.88848i
$99$	−0.118323	−	0.303105i	−0.0118919	−	0.0304632i
$100$	−21.8375	−	2.08523i	−2.18375	−	0.208523i
$101$	0.0418502	−	0.120918i	0.00416425	−	0.0120318i	−0.942900	−	0.333077i	$-0.891913\pi$
$101$	0.0418502	−	0.120918i	0.00416425	−	0.0120318i	0.947064	+	0.321045i	$0.104034\pi$
$102$	−2.96336	−	0.439114i	−0.293417	−	0.0434788i
$103$	3.44032	−	4.37472i	0.338985	−	0.431054i	−0.586436	−	0.809996i	$-0.699469\pi$
$103$	3.44032	−	4.37472i	0.338985	−	0.431054i	0.925421	+	0.378941i	$0.123712\pi$
$104$	−6.76258	+	47.0348i	−0.663125	+	4.61214i
$105$	−2.63523	−	3.67061i	−0.257172	−	0.358214i
$106$	−11.6703	−	13.4682i	−1.13352	−	1.30815i
$107$	1.08502	−	11.3629i	0.104893	−	1.09849i	−0.777790	−	0.628524i	$-0.783659\pi$
$107$	1.08502	−	11.3629i	0.104893	−	1.09849i	0.882683	−	0.469968i	$-0.155735\pi$
$108$	20.2279	+	19.7930i	1.94643	+	1.90458i
$109$	−0.600182	−	2.47398i	−0.0574870	−	0.236965i	0.935818	−	0.352483i	$-0.114662\pi$
$109$	−0.600182	−	2.47398i	−0.0574870	−	0.236965i	−0.993305	+	0.115518i	$0.963147\pi$
$110$	0.0954507	+	0.275787i	0.00910087	+	0.0262952i
$111$	17.4220	−	3.27998i	1.65362	−	0.311322i
$112$	13.0833	+	36.8256i	1.23626	+	3.47969i
$113$	13.4849	−	1.93883i	1.26855	−	0.182390i	0.525019	−	0.851091i	$-0.324058\pi$
$113$	13.4849	−	1.93883i	1.26855	−	0.182390i	0.743532	+	0.668700i	$0.233149\pi$
$114$	9.50199	−	13.2227i	0.889943	−	1.23842i
$115$	−2.70540	+	3.87855i	−0.252279	+	0.361677i
$116$	−30.7746	+	17.7677i	−2.85735	+	1.64969i
$117$	−8.30452	+	12.6804i	−0.767753	+	1.17230i
$118$	−22.6031	−	10.3225i	−2.08078	−	0.950261i
$119$	−0.850300	−	1.44536i	−0.0779469	−	0.132496i
$120$	−11.0340	−	11.6724i	−1.00726	−	1.06554i
$121$	7.95256	−	7.58275i	0.722960	−	0.689341i
$122$	−16.9749	−	8.75117i	−1.53684	−	0.792294i
$123$	0.659976	−	0.755051i	0.0595080	−	0.0680807i
$124$	−5.93793	−	30.8089i	−0.533242	−	2.76672i
$125$	7.48859	+	4.81262i	0.669800	+	0.430454i
$126$	−2.06861	+	21.5603i	−0.184286	+	1.92075i
$127$	−0.931899	+	6.48150i	−0.0826926	+	0.575140i	0.905781	+	0.423746i	$0.139285\pi$
$127$	−0.931899	+	6.48150i	−0.0826926	+	0.575140i	−0.988474	+	0.151394i	$0.951624\pi$
$128$	16.7130	+	32.4187i	1.47723	+	2.86543i
$129$	5.54018	−	11.9942i	0.487786	−	1.05603i
$130$	7.88593	−	11.0742i	0.691642	−	0.971275i
$131$	0.475496	+	9.98188i	0.0415443	+	0.872121i	0.919431	+	0.393252i	$0.128650\pi$
$131$	0.475496	+	9.98188i	0.0415443	+	0.872121i	−0.877886	+	0.478869i	$0.841047\pi$
$132$	0.384364	−	0.948228i	0.0334546	−	0.0825326i
$133$	9.10048	−	0.508056i	0.789112	−	0.0440540i
$134$	5.66077	+	19.2788i	0.489016	+	1.66544i
$135$	−1.61301	−	4.86309i	−0.138826	−	0.418548i
$136$	−3.68481	−	4.68562i	−0.315970	−	0.401788i
$137$	6.50612	−	3.75631i	0.555856	−	0.320923i	−0.195625	−	0.980679i	$-0.562673\pi$
$137$	6.50612	−	3.75631i	0.555856	−	0.320923i	0.751480	+	0.659755i	$0.229340\pi$
$138$	21.9990	−	5.46340i	1.87268	−	0.465076i
$139$			4.38355i			0.371808i	0.982568	+	0.185904i	$0.0595213\pi$
$139$			4.38355i			0.371808i	−0.982568	+	0.185904i	$0.940479\pi$
$140$	1.90716	−	14.0803i	0.161185	−	1.19000i
$141$	4.52522	−	7.76046i	0.381092	−	0.653548i
$142$	1.72442	−	7.10814i	0.144710	−	0.596502i
$143$	0.538101	+	0.103710i	0.0449983	+	0.00867270i
$144$	1.72680	+	44.2796i	0.143900	+	3.68997i
$145$	6.42613	−	0.306114i	0.533661	−	0.0254214i
$146$	−5.92252	−	12.9685i	−0.490151	−	1.07328i
$147$	−10.1201	+	6.67713i	−0.834690	+	0.550720i
$148$	46.8968	+	30.1387i	3.85489	+	2.47739i
$149$	6.89749	−	8.77087i	0.565064	−	0.718538i	−0.416614	−	0.909083i	$-0.636783\pi$
$149$	6.89749	−	8.77087i	0.565064	−	0.718538i	0.981678	+	0.190546i	$0.0610258\pi$
$150$	−5.28451	−	18.2887i	−0.431479	−	1.49327i
$151$	−0.919560	+	19.3039i	−0.0748327	+	1.57093i	0.579656	+	0.814861i	$0.303187\pi$
$151$	−0.919560	+	19.3039i	−0.0748327	+	1.57093i	−0.654489	+	0.756072i	$0.727116\pi$
$152$	31.8142	−	6.13168i	2.58047	−	0.497345i
$153$	−0.432337	−	1.85165i	−0.0349524	−	0.149697i
$154$	0.749514	−	0.226744i	0.0603975	−	0.0182716i
$155$	−1.60034	+	5.45027i	−0.128543	+	0.437776i
$156$	−46.3682	+	11.0374i	−3.71243	+	0.883696i
$157$	1.99778	−	2.09522i	0.159440	−	0.167216i	−0.639168	−	0.769067i	$-0.720721\pi$
$157$	1.99778	−	2.09522i	0.159440	−	0.167216i	0.798609	+	0.601851i	$0.205570\pi$
$158$	−1.59244	−	16.6768i	−0.126688	−	1.32674i
$159$	5.22649	−	10.0316i	0.414488	−	0.795555i
$160$		−	21.1980i		−	1.67585i
$161$	10.1127	+	7.66374i	0.796994	+	0.603987i
$162$	−9.51960	+	22.6394i	−0.747930	+	1.77872i
$163$	−6.85823	−	2.74562i	−0.537178	−	0.215054i	0.0871793	−	0.996193i	$-0.472215\pi$
$163$	−6.85823	−	2.74562i	−0.537178	−	0.215054i	−0.624357	+	0.781139i	$0.714639\pi$
$164$	3.13914	−	0.299752i	0.245126	−	0.0234067i
$165$	−0.140514	+	0.120699i	−0.0109390	+	0.00939644i
$166$	−43.9675	+	15.2173i	−3.41254	+	1.18109i
$167$	−12.9932	−	3.81514i	−1.00544	−	0.295224i	−0.262755	−	0.964863i	$-0.584631\pi$
$167$	−12.9932	−	3.81514i	−1.00544	−	0.295224i	−0.742687	+	0.669638i	$0.766449\pi$
$168$	−32.4623	+	28.3488i	−2.50452	+	2.18716i
$169$	−5.20453	−	11.3963i	−0.400348	−	0.876640i
$170$	0.322756	+	1.67462i	0.0247542	+	0.128437i
$171$	10.0223	+	2.52308i	0.766427	+	0.192945i
$172$	38.5691	−	15.4408i	2.94087	−	1.17735i
$173$	−3.42734	−	2.69529i	−0.260576	−	0.204919i	0.479321	−	0.877640i	$-0.340883\pi$
$173$	−3.42734	−	2.69529i	−0.260576	−	0.204919i	−0.739896	+	0.672721i	$0.765126\pi$
$174$	−24.1577	−	19.1670i	−1.83139	−	1.45304i
$175$	6.11017	−	8.73062i	0.461886	−	0.659973i
$176$	1.45730	−	0.665527i	0.109848	−	0.0501660i
$177$	0.818372	−	15.7508i	0.0615126	−	1.18390i
$178$	23.2896	−	5.65000i	1.74563	−	0.423485i
$179$	0.541007	−	2.80701i	0.0404367	−	0.209806i	−0.956091	−	0.293071i	$-0.905323\pi$
$179$	0.541007	−	2.80701i	0.0404367	−	0.209806i	0.996527	+	0.0832653i	$0.0265349\pi$
$180$	6.81899	−	14.5971i	0.508258	−	1.08800i
$181$	−13.6897	−	6.25185i	−1.01754	−	0.464697i	−0.164412	−	0.986392i	$-0.552573\pi$
$181$	−13.6897	−	6.25185i	−1.01754	−	0.464697i	−0.853132	+	0.521695i	$0.825300\pi$
$182$	−28.8573	−	22.3145i	−2.13904	−	1.65406i
$183$	1.20427	−	12.0620i	0.0890224	−	0.891645i
$184$	39.2787	+	22.1706i	2.89567	+	1.63444i
$185$	−5.04621	−	8.74030i	−0.371005	−	0.642600i
$186$	22.9690	−	14.6217i	1.68417	−	1.07212i
$187$	−0.0559974	+	0.0398756i	−0.00409494	+	0.00291599i
$188$	27.1044	−	7.95856i	1.97679	−	0.580438i
$189$	−13.2091	+	3.81030i	−0.960824	+	0.277159i
$190$	−8.89412	−	2.61155i	−0.645247	−	0.189462i
$191$	−8.66073	+	0.412561i	−0.626668	+	0.0298519i	−0.358514	−	0.933524i	$-0.616717\pi$
$191$	−8.66073	+	0.412561i	−0.626668	+	0.0298519i	−0.268154	+	0.963376i	$0.586414\pi$
$192$	−33.1959	+	37.9781i	−2.39571	+	2.74083i
$193$	−3.64373	+	10.5279i	−0.262282	+	0.757813i	0.734571	+	0.678532i	$0.237384\pi$
$193$	−3.64373	+	10.5279i	−0.262282	+	0.757813i	−0.996852	+	0.0792811i	$0.974738\pi$
$194$	−24.4856	+	12.6232i	−1.75796	+	0.906292i
$195$	8.37706	+	2.07053i	0.599894	+	0.148274i
$196$	−37.5492	−	6.60265i	−2.68209	−	0.471618i
$197$	10.6442	−	16.5627i	0.758368	−	1.18004i	−0.220467	−	0.975394i	$-0.570758\pi$
$197$	10.6442	−	16.5627i	0.758368	−	1.18004i	0.978835	−	0.204650i	$-0.0656055\pi$
$198$	0.887874	+	0.00765546i	0.0630985	+	0.000544050i
$199$	2.93639	+	2.09100i	0.208156	+	0.148227i	0.679380	−	0.733786i	$-0.262249\pi$
$199$	2.93639	+	2.09100i	0.208156	+	0.148227i	−0.471225	+	0.882013i	$0.656188\pi$
$200$	17.3576	−	33.6690i	1.22737	−	2.38076i
$201$	−10.0587	+	7.84030i	−0.709485	+	0.553012i
$202$	0.263884	+	0.228657i	0.0185668	+	0.0160882i
$203$	−0.141023	−	17.2616i	−0.00989787	−	1.21153i
$204$	3.01188	−	5.16518i	0.210874	−	0.361635i
$205$	−0.530008	−	0.212183i	−0.0370173	−	0.0148195i
$206$	7.59353	+	13.1524i	0.529067	+	0.916370i
$207$	8.35860	+	11.7104i	0.580963	+	0.813930i
$208$	−64.6332	−	37.3160i	−4.48151	−	2.58740i
$209$	−0.0531756	−	0.369844i	−0.00367823	−	0.0255827i
$210$	11.9716	−	2.95323i	0.826118	−	0.203792i
$211$	−2.56785	+	0.753988i	−0.176778	+	0.0519067i	−0.368924	−	0.929460i	$-0.620274\pi$
$211$	−2.56785	+	0.753988i	−0.176778	+	0.0519067i	0.192146	+	0.981366i	$0.438455\pi$
$212$	33.6128	−	11.6335i	2.30853	−	0.798992i
$213$	4.59813	−	0.640892i	0.315059	−	0.0439132i
$214$	27.6858	+	14.2730i	1.89256	+	0.975682i
$215$	−7.48736	−	0.714956i	−0.510633	−	0.0487596i
$216$	−44.7114	+	19.7242i	−3.04223	+	1.34206i
$217$	14.4436	+	4.86721i	0.980494	+	0.330407i
$218$	6.87617	+	0.988644i	0.465713	+	0.0669595i
$219$	6.27283	−	6.52223i	0.423879	−	0.440731i
$220$	−0.581820	−	0.0277155i	−0.0392263	−	0.00186858i
$221$	3.02629	+	1.04741i	0.203570	+	0.0704563i
$222$	−9.36006	+	47.4626i	−0.628206	+	3.18548i
$223$	0.0135969	+	0.0211572i	0.000910516	+	0.00141679i	0.841708	−	0.539932i	$-0.181550\pi$
$223$	0.0135969	+	0.0211572i	0.000910516	+	0.00141679i	−0.840798	+	0.541349i	$0.817914\pi$
$224$	−56.8343	−	2.24216i	−3.79740	−	0.149810i
$225$	9.56206	−	7.38715i	0.637471	−	0.492477i
$226$	−8.76463	+	36.1283i	−0.583015	+	2.40322i
$227$	27.9510	−	2.66900i	1.85517	−	0.177147i	0.893085	−	0.449888i	$-0.148536\pi$
$227$	27.9510	−	2.66900i	1.85517	−	0.177147i	0.962088	+	0.272741i	$0.0879302\pi$
$228$	17.4521	+	27.4152i	1.15580	+	1.81561i
$229$	−9.98894	−	5.76712i	−0.660088	−	0.381102i	0.132223	−	0.991220i	$-0.457789\pi$
$229$	−9.98894	−	5.76712i	−0.660088	−	0.381102i	−0.792310	+	0.610118i	$0.791122\pi$
$230$	−7.08192	−	10.7873i	−0.466968	−	0.711297i
$231$	0.308747	+	0.389502i	0.0203141	+	0.0256273i
$232$	−8.73267	−	60.7370i	−0.573328	−	3.98758i
$233$	−3.44524	+	2.45334i	−0.225705	+	0.160724i	−0.687316	−	0.726359i	$-0.741211\pi$
$233$	−3.44524	+	2.45334i	−0.225705	+	0.160724i	0.461611	+	0.887083i	$0.347272\pi$
$234$	−23.7013	−	33.8987i	−1.54941	−	2.21603i
$235$	−5.02177	−	0.967867i	−0.327584	−	0.0631367i
$236$	35.8939	−	34.2248i	2.33649	−	2.22784i
$237$	9.47220	−	4.83168i	0.615285	−	0.313852i
$238$	4.52399	−	0.688220i	0.293247	−	0.0446106i
$239$	12.4695	−	10.8049i	0.806584	−	0.698909i	−0.150535	−	0.988605i	$-0.548100\pi$
$239$	12.4695	−	10.8049i	0.806584	−	0.698909i	0.957119	+	0.289696i	$0.0935542\pi$
$240$	23.4603	−	9.27492i	1.51435	−	0.598694i
$241$	−7.70633	−	19.2495i	−0.496408	−	1.23997i	−0.939208	−	0.343347i	$-0.888439\pi$
$241$	−7.70633	−	19.2495i	−0.496408	−	1.23997i	0.442800	−	0.896620i	$-0.353985\pi$
$242$	11.1443	+	27.8371i	0.716381	+	1.78943i
$243$	−15.5848	−	0.335984i	−0.999768	−	0.0215534i
$244$	28.8074	−	24.9617i	1.84420	−	1.59801i
$245$	5.49455	+	4.17749i	0.351034	+	0.266890i
$246$	1.24346	+	2.43772i	0.0792802	+	0.155424i
$247$	−12.5975	+	12.0116i	−0.801557	+	0.764283i
$248$	53.1999	+	10.2534i	3.37820	+	0.651094i
$249$	−19.2426	−	22.4016i	−1.21945	−	1.41964i
$250$	−19.7870	+	14.0903i	−1.25144	+	0.891146i
$251$	−3.47385	−	24.1612i	−0.219267	−	1.52504i	−0.740753	−	0.671778i	$-0.765531\pi$
$251$	−3.47385	−	24.1612i	−0.219267	−	1.52504i	0.521485	−	0.853260i	$-0.325378\pi$
$252$	−38.4154	−	19.8265i	−2.41994	−	1.24895i
$253$	0.276946	−	0.440301i	0.0174114	−	0.0276815i
$254$	−15.4748	−	8.93436i	−0.970974	−	0.560592i
$255$	−0.913156	+	0.581303i	−0.0571841	+	0.0364026i
$256$	−41.0975	+	3.92433i	−2.56859	+	0.245271i
$257$	−5.75321	+	23.7150i	−0.358875	+	1.47930i	0.450906	+	0.892571i	$0.351101\pi$
$257$	−5.75321	+	23.7150i	−0.358875	+	1.47930i	−0.809781	+	0.586732i	$0.800414\pi$
$258$	24.7667	+	26.1997i	1.54190	+	1.63112i
$259$	−23.9676	+	12.6050i	−1.48927	+	0.783239i
$260$	14.6700	+	22.8270i	0.909797	+	1.41567i
$261$	5.67621	−	18.7324i	0.351349	−	1.15951i
$262$	−25.7699	−	8.91904i	−1.59207	−	0.551020i
$263$	8.85679	+	0.421901i	0.546133	+	0.0260155i	0.318836	−	0.947810i	$-0.396708\pi$
$263$	8.85679	+	0.421901i	0.546133	+	0.0260155i	0.227297	+	0.973825i	$0.427011\pi$
$264$	1.27341	+	1.22472i	0.0783728	+	0.0753760i
$265$	−6.37395	−	0.916436i	−0.391549	−	0.0562962i
$266$	−7.94263	+	23.5700i	−0.486994	+	1.44517i
$267$	8.76991	+	12.4287i	0.536710	+	0.760622i
$268$	−39.9215	−	3.81204i	−2.43860	−	0.232858i
$269$	−19.8115	−	10.2135i	−1.20793	−	0.622730i	−0.267774	−	0.963482i	$-0.586288\pi$
$269$	−19.8115	−	10.2135i	−1.20793	−	0.622730i	−0.940153	+	0.340752i	$0.889318\pi$
$270$	13.9558	+	0.845820i	0.849325	+	0.0514750i
$271$	10.2074	−	3.53282i	0.620056	−	0.214603i	0.00106214	−	0.999999i	$-0.499662\pi$
$271$	10.2074	−	3.53282i	0.620056	−	0.214603i	0.618994	+	0.785396i	$0.287541\pi$
$272$	8.98296	−	2.63764i	0.544672	−	0.159930i
$273$	6.43741	−	22.2409i	0.389610	−	1.34608i
$274$	2.91754	+	20.2919i	0.176255	+	1.22588i
$275$	−0.378322	−	0.218424i	−0.0228137	−	0.0131715i
$276$	−6.19562	+	44.8155i	−0.372933	+	2.69758i
$277$	−1.83962	−	3.18631i	−0.110532	−	0.191447i	0.805453	−	0.592660i	$-0.201922\pi$
$277$	−1.83962	−	3.18631i	−0.110532	−	0.191447i	−0.915985	+	0.401213i	$0.868589\pi$
$278$	−11.1051	−	4.44580i	−0.666038	−	0.266641i
$279$	13.9908	+	10.1458i	0.837609	+	0.607410i
$280$	21.3478	+	12.0937i	1.27577	+	0.722737i
$281$	2.32265	+	2.01259i	0.138558	+	0.120061i	0.721382	−	0.692537i	$-0.243507\pi$
$281$	2.32265	+	2.01259i	0.138558	+	0.120061i	−0.582825	+	0.812598i	$0.698053\pi$
$282$	15.0705	+	19.3346i	0.897434	+	1.15136i
$283$	−13.6525	+	26.4822i	−0.811560	+	1.57421i	0.00713314	+	0.999975i	$0.497729\pi$
$283$	−13.6525	+	26.4822i	−0.811560	+	1.57421i	−0.818693	+	0.574232i	$0.805301\pi$
$284$	11.8917	+	8.46807i	0.705645	+	0.502488i
$285$	−0.534021	−	5.85936i	−0.0316327	−	0.347079i
$286$	−0.808477	+	1.25802i	−0.0478063	+	0.0743880i
$287$	−0.624949	+	1.39857i	−0.0368896	+	0.0825551i
$288$	−60.7629	−	21.6187i	−3.58049	−	1.27389i
$289$	14.7531	−	7.60577i	0.867831	−	0.447398i
$290$	−5.74189	+	16.5901i	−0.337176	+	0.974205i
$291$	−13.1651	−	11.5073i	−0.771749	−	0.674572i
$292$	28.4231	−	1.35396i	1.66334	−	0.0792346i
$293$	−2.14850	−	0.630857i	−0.125517	−	0.0368551i	0.218371	−	0.975866i	$-0.429926\pi$
$293$	−2.14850	−	0.630857i	−0.125517	−	0.0368551i	−0.343888	+	0.939011i	$0.611744\pi$
$294$	−6.65171	−	32.4097i	−0.387936	−	1.89017i
$295$	−8.61516	+	2.52964i	−0.501594	+	0.147281i
$296$	−78.4119	+	55.8369i	−4.55760	+	3.24545i
$297$	0.202676	+	0.525872i	0.0117605	+	0.0305142i
$298$	15.2243	+	26.3692i	0.881917	+	1.52753i
$299$	−24.1915	+	1.38852i	−1.39903	+	0.0803001i
$300$	37.8078	+	3.77475i	2.18283	+	0.217935i
$301$	−2.70884	+	19.9989i	−0.156135	+	1.15272i
$302$	−47.9710	−	21.9076i	−2.76042	−	1.26064i
$303$	−0.0733889	+	0.209122i	−0.00421608	+	0.0120138i
$304$	−9.63035	+	49.9670i	−0.552339	+	2.86580i
$305$	−6.70637	+	1.62695i	−0.384006	+	0.0931588i
$306$	5.12937	+	0.782689i	0.293226	+	0.0447433i
$307$	18.3527	−	8.38140i	1.04744	−	0.478351i	0.184068	−	0.982913i	$-0.441073\pi$
$307$	18.3527	−	8.38140i	1.04744	−	0.478351i	0.863375	+	0.504562i	$0.168346\pi$
$308$	−0.135849	+	1.55700i	−0.00774072	+	0.0887183i
$309$	−5.99142	+	7.55148i	−0.340840	+	0.429589i
$310$	−12.1844	−	9.58190i	−0.692026	−	0.544215i
$311$	13.4524	−	5.38554i	0.762817	−	0.305386i	0.0425609	−	0.999094i	$-0.486448\pi$
$311$	13.4524	−	5.38554i	0.762817	−	0.305386i	0.720256	+	0.693708i	$0.244024\pi$
$312$	12.0642	−	81.4154i	0.683002	−	4.60924i
$313$	5.80760	+	30.1327i	0.328265	+	1.70320i	0.652968	+	0.757385i	$0.273523\pi$
$313$	5.80760	+	30.1327i	0.328265	+	1.70320i	−0.324703	+	0.945816i	$0.605264\pi$
$314$	3.28176	+	7.18605i	0.185201	+	0.405533i
$315$	4.53690	+	6.37729i	0.255626	+	0.359320i
$316$	32.0823	+	9.42021i	1.80477	+	0.529928i
$317$	0.459047	−	0.158878i	0.0257826	−	0.00892346i	−0.314146	−	0.949375i	$-0.601718\pi$
$317$	0.459047	−	0.158878i	0.0257826	−	0.00892346i	0.339929	+	0.940451i	$0.389597\pi$
$318$	20.1128	+	23.4146i	1.12787	+	1.31302i
$319$	−0.704445	+	0.0672664i	−0.0394414	+	0.00376619i
$320$	26.6587	+	10.6725i	1.49027	+	0.596613i
$321$	−1.96415	+	19.6728i	−0.109628	+	1.09803i
$322$	−29.6713	+	17.8465i	−1.65352	+	0.994546i
$323$		−	2.18352i		−	0.121494i
$324$	−34.8876	−	34.4331i	−1.93820	−	1.91295i
$325$	1.93443	+	20.2582i	0.107303	+	1.12372i
$326$	13.9112	−	14.5897i	0.770472	−	0.808048i
$327$	1.02106	+	4.28951i	0.0564649	+	0.237210i
$328$	−1.53410	+	5.22467i	−0.0847065	+	0.288484i
$329$	−3.12614	+	13.3616i	−0.172349	+	0.736650i
$330$	−0.163265	−	0.478385i	−0.00898742	−	0.0263342i
$331$	26.5240	−	5.11207i	1.45789	−	0.280985i	0.602146	−	0.798386i	$-0.294313\pi$
$331$	26.5240	−	5.11207i	1.45789	−	0.280985i	0.855743	+	0.517401i	$0.173101\pi$
$332$	4.41857	−	92.7572i	0.242500	−	5.09071i
$333$	−30.2000	+	5.55096i	−1.65495	+	0.304191i
$334$	22.8428	−	29.0470i	1.24990	−	1.58938i
$335$	6.10780	+	3.92524i	0.333705	+	0.214459i
$336$	−22.3858	−	63.8808i	−1.22124	−	3.48498i
$337$	−10.8663	−	23.7939i	−0.591926	−	1.29614i	−0.934271	−	0.356563i	$-0.883949\pi$
$337$	−10.8663	−	23.7939i	−0.591926	−	1.29614i	0.342346	−	0.939574i	$-0.388779\pi$
$338$	34.1493	−	1.62673i	1.85748	−	0.0884826i
$339$	−23.3708	+	3.25744i	−1.26933	+	0.176920i
$340$	−3.34237	−	0.644190i	−0.181266	−	0.0349361i
$341$	0.147306	−	0.607204i	0.00797708	−	0.0328820i
$342$	−16.5565	+	22.8312i	−0.895274	+	1.23457i
$343$	11.7815	−	14.2897i	0.636144	−	0.771571i
$344$			71.7388i			3.86790i
$345$	4.71480	−	6.69759i	0.253836	−	0.360586i
$346$	10.3041	−	5.94909i	0.553953	−	0.319825i
$347$	18.0127	+	22.9050i	0.966973	+	1.22961i	0.973279	+	0.229626i	$0.0737504\pi$
$347$	18.0127	+	22.9050i	0.966973	+	1.22961i	−0.00630573	+	0.999980i	$0.502007\pi$
$348$	53.4354	−	30.5446i	2.86444	−	1.63736i
$349$	−9.07749	−	30.9151i	−0.485907	−	1.65485i	−0.728749	−	0.684781i	$-0.759898\pi$
$349$	−9.07749	−	30.9151i	−0.485907	−	1.65485i	0.242842	−	0.970066i	$-0.421920\pi$
$350$	15.9208	+	24.3338i	0.851002	+	1.30070i
$351$	14.4784	−	21.9008i	0.772800	−	1.16898i
$352$	0.110946	+	2.32905i	0.00591345	+	0.124139i
$353$	−3.62807	+	5.09492i	−0.193103	+	0.271175i	−0.899764	−	0.436377i	$-0.856261\pi$
$353$	−3.62807	+	5.09492i	−0.193103	+	0.271175i	0.706661	+	0.707552i	$0.250201\pi$
$354$	39.0722	+	18.0477i	2.07667	+	0.959223i
$355$	−1.21108	−	2.34917i	−0.0642776	−	0.124681i
$356$	−6.80723	+	47.3453i	−0.360782	+	2.50930i
$357$	1.46196	+	2.50977i	0.0773750	+	0.132831i
$358$	6.56245	+	4.21743i	0.346836	+	0.222898i
$359$	−0.810962	−	4.20767i	−0.0428010	−	0.222072i	0.954230	−	0.299074i	$-0.0966776\pi$
$359$	−0.810962	−	4.20767i	−0.0428010	−	0.222072i	−0.997031	+	0.0770012i	$0.975465\pi$
$360$	19.0241	+	20.2994i	1.00266	+	1.06987i
$361$	−6.33906	−	3.26801i	−0.333635	−	0.172001i
$362$	29.7222	−	28.3401i	1.56216	−	1.48952i
$363$	−13.8307	+	13.0742i	−0.725925	+	0.686218i
$364$	62.7537	−	36.9177i	3.28919	−	1.93501i
$365$	−4.68608	−	2.14006i	−0.245281	−	0.112016i
$366$	29.3358	+	15.2841i	1.53341	+	0.798912i
$367$	23.7132	−	13.6908i	1.23782	−	0.714654i	0.269169	−	0.963093i	$-0.413251\pi$
$367$	23.7132	−	13.6908i	1.23782	−	0.714654i	0.968647	+	0.248439i	$0.0799177\pi$
$368$	−55.2548	+	44.3301i	−2.88036	+	2.31087i
$369$	−1.14874	+	1.30285i	−0.0598010	+	0.0678235i
$370$	27.2601	−	3.91941i	1.41719	−	0.203761i
$371$	−3.13126	+	16.9924i	−0.162567	+	0.882202i
$372$	10.0547	+	53.4065i	0.521310	+	2.76900i
$373$	−4.39426	−	12.6964i	−0.227526	−	0.657393i	−0.999757	−	0.0220510i	$-0.992980\pi$
$373$	−4.39426	−	12.6964i	−0.227526	−	0.657393i	0.772231	−	0.635342i	$-0.219141\pi$
$374$	−0.0442262	−	0.182303i	−0.00228688	−	0.00942666i
$375$	−12.9346	−	8.39155i	−0.667938	−	0.433338i
$376$	−4.63673	+	48.5580i	−0.239121	+	2.50419i
$377$	21.5878	+	24.9137i	1.11183	+	1.28312i
$378$	3.74389	−	37.3278i	0.192565	−	1.91994i
$379$	0.240484	−	1.67260i	0.0123528	−	0.0859158i	−0.982712	−	0.185139i	$-0.940727\pi$
$379$	0.240484	−	1.67260i	0.0123528	−	0.0859158i	0.995065	+	0.0992228i	$0.0316357\pi$
$380$	11.4367	−	14.5430i	0.586691	−	0.746038i
$381$	1.66248	−	11.2192i	0.0851713	−	0.574778i
$382$	7.73855	−	22.3591i	0.395939	−	1.14399i
$383$	−16.4237	−	1.56827i	−0.839211	−	0.0801349i	−0.333407	−	0.942783i	$-0.608198\pi$
$383$	−16.4237	−	1.56827i	−0.839211	−	0.0801349i	−0.505804	+	0.862648i	$0.668804\pi$
$384$	−28.7054	−	56.2750i	−1.46487	−	2.87177i
$385$	0.151026	−	0.239277i	0.00769702	−	0.0121947i
$386$	−22.9753	−	19.9082i	−1.16941	−	1.01330i
$387$	−9.68535	+	20.7330i	−0.492334	+	1.05392i
$388$	−5.22647	−	54.7341i	−0.265334	−	2.77870i
$389$	10.6958	+	13.6008i	0.542298	+	0.689588i	0.977546	−	0.210723i	$-0.0675817\pi$
$389$	10.6958	+	13.6008i	0.542298	+	0.689588i	−0.435248	+	0.900311i	$0.643339\pi$
$390$	−13.7414	+	19.1221i	−0.695823	+	0.968285i
$391$	1.96812	−	2.31651i	0.0995320	−	0.117151i
$392$	34.6827	−	55.9569i	1.75174	−	2.82625i
$393$	−0.749042	−	17.2925i	−0.0377842	−	0.872292i
$394$	31.1638	+	43.7634i	1.57001	+	2.20477i
$395$	−4.38109	−	4.17736i	−0.220437	−	0.210186i
$396$	−0.672813	+	1.63949i	−0.0338101	+	0.0823876i
$397$	−7.19454	−	7.54542i	−0.361084	−	0.378694i	0.517984	−	0.855390i	$-0.326683\pi$
$397$	−7.19454	−	7.54542i	−0.361084	−	0.378694i	−0.879068	+	0.476696i	$0.841834\pi$
$398$	−8.27532	+	5.31823i	−0.414804	+	0.266579i
$399$	−15.7661	+	0.812018i	−0.789294	+	0.0406517i
$400$	38.9602	+	44.9625i	1.94801	+	2.24812i
$401$	1.24972	+	2.42413i	0.0624082	+	0.121055i	0.917976	−	0.396635i	$-0.129822\pi$
$401$	1.24972	+	2.42413i	0.0624082	+	0.121055i	−0.855568	+	0.517690i	$0.826792\pi$
$402$	−9.66070	−	33.4338i	−0.481832	−	1.66753i
$403$	−27.0218	+	10.8179i	−1.34605	+	0.538878i
$404$	−0.619436	+	0.319341i	−0.0308181	+	0.0158878i
$405$	2.75748	+	8.43508i	0.137020	+	0.419143i
$406$	43.8728	+	17.1495i	2.17737	+	0.851115i
$407$	0.600179	+	0.933897i	0.0297498	+	0.0462916i
$408$	6.34723	+	8.14316i	0.314235	+	0.403147i
$409$	3.75227	−	19.4686i	0.185538	−	0.962661i	−0.763096	−	0.646285i	$-0.776322\pi$
$409$	3.75227	−	19.4686i	0.185538	−	0.962661i	0.948634	−	0.316376i	$-0.102466\pi$
$410$	1.07507	−	1.12750i	0.0530938	−	0.0556832i
$411$	−11.2969	+	6.45748i	−0.557234	+	0.318524i
$412$	−30.0034	+	4.31384i	−1.47816	+	0.212528i
$413$	5.87102	+	23.3659i	0.288894	+	1.14976i
$414$	−38.1439	+	9.29854i	−1.87467	+	0.456998i
$415$	−8.40600	+	14.5596i	−0.412634	+	0.714704i
$416$	85.3815	−	67.1447i	4.18617	−	3.29204i
$417$	0.0327314	−	7.59246i	0.00160286	−	0.371804i
$418$	0.990876	+	0.240384i	0.0484653	+	0.0117576i
$419$	−5.36925	+	6.19645i	−0.262305	+	0.302716i	−0.871590	−	0.490235i	$-0.836911\pi$
$419$	−5.36925	+	6.19645i	−0.262305	+	0.302716i	0.609285	+	0.792951i	$0.291456\pi$
$420$	−3.40841	+	24.3733i	−0.166313	+	1.18929i
$421$	−1.32785	+	0.853356i	−0.0647154	+	0.0415900i	−0.572598	−	0.819836i	$-0.694065\pi$
$421$	−1.32785	+	0.853356i	−0.0647154	+	0.0415900i	0.507883	+	0.861426i	$0.330428\pi$
$422$	0.694196	−	7.26995i	0.0337929	−	0.353896i
$423$	−7.89579	+	13.4076i	−0.383906	+	0.651899i
$424$	−2.92246	+	61.3500i	−0.141927	+	2.97942i
$425$	−2.00667	−	1.57807i	−0.0973380	−	0.0765475i
$426$	−3.03983	+	12.2987i	−0.147280	+	0.595873i
$427$	3.65270	+	18.1527i	0.176766	+	0.878470i
$428$	−46.9843	+	40.7121i	−2.27107	+	1.96789i
$429$	−0.931235	−	0.183648i	−0.0449605	−	0.00886661i
$430$	9.40492	−	18.2430i	0.453545	−	0.879755i
$431$	21.6655	−	5.25599i	1.04359	−	0.253172i	0.322902	−	0.946432i	$-0.395341\pi$
$431$	21.6655	−	5.25599i	1.04359	−	0.253172i	0.720687	+	0.693260i	$0.243826\pi$
$432$	−2.66025	−	76.7067i	−0.127991	−	3.69055i
$433$	−5.23675	−	17.8347i	−0.251662	−	0.857083i	−0.984306	−	0.176470i	$-0.943532\pi$
$433$	−5.23675	−	17.8347i	−0.251662	−	0.857083i	0.732644	−	0.680612i	$-0.238286\pi$
$434$	−26.9790	+	31.6543i	−1.29503	+	1.51946i
$435$	−11.1326	+	0.482218i	−0.533766	+	0.0231206i
$436$	−6.93266	+	12.0077i	−0.332014	+	0.575065i
$437$	6.28951	+	15.2777i	0.300868	+	0.730833i
$438$	10.1612	+	22.5061i	0.485520	+	1.07538i
$439$	−0.845952	+	2.11309i	−0.0403751	+	0.100852i	−0.947185	−	0.320688i	$-0.896086\pi$
$439$	−0.845952	+	2.11309i	−0.0403751	+	0.100852i	0.906810	+	0.421540i	$0.138510\pi$
$440$	0.417828	−	0.914916i	0.0199192	−	0.0436169i
$441$	17.5782	−	11.4895i	0.837056	−	0.547117i
$442$	−5.72272	+	6.60437i	−0.272202	+	0.314138i
$443$	−21.6203	−	22.6747i	−1.02721	−	1.07731i	−0.996972	−	0.0777641i	$-0.975222\pi$
$443$	−21.6203	−	22.6747i	−1.02721	−	1.07731i	−0.0302382	−	0.999543i	$-0.509627\pi$
$444$	−81.0018	−	52.5515i	−3.84417	−	2.49398i
$445$	5.02308	−	7.05393i	0.238117	−	0.334389i
$446$	−0.0673886	+	0.0129881i	−0.00319094	+	0.000615004i
$447$	−12.0122	+	15.1399i	−0.568157	+	0.716095i
$448$	31.4341	−	70.3464i	1.48512	−	3.32355i
$449$	−39.7434	−	5.71424i	−1.87561	−	0.269672i	−0.892277	−	0.451489i	$-0.850893\pi$
$449$	−39.7434	−	5.71424i	−1.87561	−	0.269672i	−0.983332	+	0.181817i	$0.941802\pi$
$450$	9.01640	+	31.7161i	0.425037	+	1.49511i
$451$	0.0593431	+	0.0205389i	0.00279436	+	0.000967137i
$452$	−60.4417	−	43.0404i	−2.84294	−	2.02445i
$453$	1.73685	−	33.4282i	0.0816043	−	1.57060i
$454$	−21.5864	+	73.5166i	−1.01310	+	3.45030i
$455$	−13.1607	+	0.734730i	−0.616985	+	0.0344447i
$456$	−55.1490	+	10.3827i	−2.58259	+	0.486216i
$457$	−14.2960	−	20.0759i	−0.668740	−	0.939113i	0.331251	−	0.943543i	$-0.392529\pi$
$457$	−14.2960	−	20.0759i	−0.668740	−	0.939113i	−0.999990	+	0.00442952i	$0.998590\pi$
$458$	24.7409	−	19.4565i	1.15607	−	0.909141i
$459$	0.734996	+	3.21036i	0.0343067	+	0.149847i
$460$	25.2416	−	5.12025i	1.17690	−	0.238733i
$461$	−13.8572			−0.645395			−0.322698	−	0.946502i	$-0.604590\pi$
$461$	−13.8572			−0.645395			−0.322698	+	0.946502i	$0.604590\pi$
$462$	−1.29988	+	0.387133i	−0.0604757	+	0.0180110i
$463$	−5.51666	+	12.0798i	−0.256381	+	0.561396i	−0.993430	−	0.114443i	$-0.963492\pi$
$463$	−5.51666	+	12.0798i	−0.256381	+	0.561396i	0.737049	+	0.675840i	$0.236219\pi$
$464$	93.6573	+	22.7210i	4.34793	+	1.05480i
$465$	2.81255	−	9.42811i	0.130429	−	0.437218i
$466$	−2.72101	−	11.2162i	−0.126049	−	0.519579i
$467$	0.821466	+	17.2447i	0.0380129	+	0.797990i	0.934724	+	0.355374i	$0.115646\pi$
$467$	0.821466	+	17.2447i	0.0380129	+	0.797990i	−0.896711	+	0.442616i	$0.854051\pi$
$468$	80.3937	−	18.7709i	3.71620	−	0.867684i
$469$	11.1701	−	15.9606i	0.515787	−	0.736991i
$470$	7.54503	−	11.7403i	0.348026	−	0.541540i
$471$	−3.47588	+	3.61407i	−0.160160	+	0.166527i
$472$	31.8291	+	79.5053i	1.46505	+	3.65953i
$473$	0.826387	+	0.0393657i	0.0379973	+	0.00181004i
$474$	2.63364	+	28.8967i	0.120967	+	1.32727i
$475$	12.6217	−	5.76412i	0.579122	−	0.264476i
$476$	−2.08068	+	8.89318i	−0.0953679	+	0.407618i
$477$	−9.12737	+	17.3360i	−0.417914	+	0.793761i
$478$	14.7260	+	42.5479i	0.673550	+	1.94609i
$479$	−3.74610	−	3.57190i	−0.171164	−	0.163204i	0.599655	−	0.800258i	$-0.295304\pi$
$479$	−3.74610	−	3.57190i	−0.171164	−	0.163204i	−0.770819	+	0.637054i	$0.780153\pi$
$480$	−0.158282	+	36.7156i	−0.00722456	+	1.67583i
$481$	19.2204	−	48.0102i	0.876375	−	2.18908i
$482$	56.5814			2.57721
$483$	−17.4584	−	13.3494i	−0.794383	−	0.607418i
$484$	−59.8471			−2.72032
$485$	−3.69962	+	9.24120i	−0.167991	+	0.419621i
$486$	16.6573	−	39.1411i	0.755591	−	1.77548i
$487$	−28.9180	−	27.5733i	−1.31040	−	1.24947i	−0.948319	−	0.317320i	$-0.897217\pi$
$487$	−28.9180	−	27.5733i	−1.31040	−	1.24947i	−0.362083	−	0.932146i	$-0.617934\pi$
$488$	21.5277	+	62.2003i	0.974515	+	2.81568i
$489$	11.8582	+	4.80672i	0.536246	+	0.217367i
$490$	−16.1556	+	9.68280i	−0.729837	+	0.437424i
$491$	2.20783	−	1.00828i	0.0996378	−	0.0455031i	−0.364973	−	0.931018i	$-0.618922\pi$
$491$	2.20783	−	1.00828i	0.0996378	−	0.0455031i	0.464610	+	0.885515i	$0.346194\pi$
$492$	−5.43935	+	0.495741i	−0.245225	+	0.0223497i
$493$	−4.13067	−	0.196768i	−0.186036	−	0.00886199i
$494$	−17.6534	−	44.0960i	−0.794263	−	1.98397i
$495$	0.244276	−	0.208006i	0.0109794	−	0.00934919i
$496$	−46.0048	+	71.5848i	−2.06567	+	3.21425i
$497$	−6.42652	+	2.99858i	−0.288269	+	0.134505i
$498$	76.2669	−	26.0286i	3.41760	−	1.16637i
$499$	0.360807	+	7.57427i	0.0161519	+	0.339071i	0.992451	+	0.122644i	$0.0391373\pi$
$499$	0.360807	+	7.57427i	0.0161519	+	0.339071i	−0.976299	+	0.216427i	$0.930560\pi$
$500$	−11.4303	−	47.1162i	−0.511177	−	2.10710i
$501$	22.4761	+	6.70497i	1.00416	+	0.299556i
$502$	64.7319	+	15.7038i	2.88912	+	0.700894i
$503$	8.05361	−	17.6349i	0.359093	−	0.786303i	−0.640735	−	0.767762i	$-0.721370\pi$
$503$	8.05361	−	17.6349i	0.359093	−	0.786303i	0.999828	−	0.0185416i	$-0.00590231\pi$
$504$	56.4375	−	48.8587i	2.51393	−	2.17634i
$505$	0.126170			0.00561447
$506$	0.834559	+	1.14815i	0.0371007	+	0.0510417i
$507$	8.92932	+	19.7777i	0.396565	+	0.878358i
$508$	28.0340	−	22.0462i	1.24381	−	0.978142i
$509$	10.6767	+	14.9934i	0.473237	+	0.664569i	0.980340	−	0.197317i	$-0.0632228\pi$
$509$	10.6767	+	14.9934i	0.473237	+	0.664569i	−0.507102	+	0.861886i	$0.669283\pi$
$510$	−0.546520	−	2.90290i	−0.0242003	−	0.128543i
$511$	−6.23342	+	12.3376i	−0.275750	+	0.545783i
$512$	11.1880	−	38.1028i	0.494445	−	1.68392i
$513$	−17.3402	−	4.44491i	−0.765588	−	0.196247i
$514$	−54.2436	−	38.6267i	−2.39258	−	1.70375i
$515$	5.18592	+	1.79486i	0.228519	+	0.0790911i
$516$	−66.9184	+	26.4559i	−2.94592	+	1.16466i
$517$	0.556814	+	0.0800578i	0.0244887	+	0.00352094i
$518$	−7.62506	−	73.5023i	−0.335026	−	3.22950i
$519$	5.91615	+	4.69393i	0.259690	+	0.206041i
$520$	−46.0084	+	8.86739i	−2.01760	+	0.388861i
$521$	−10.7790	+	15.1370i	−0.472238	+	0.663165i	−0.980153	−	0.198242i	$-0.936477\pi$
$521$	−10.7790	+	15.1370i	−0.472238	+	0.663165i	0.507915	+	0.861407i	$0.330416\pi$
$522$	41.6989	+	33.3782i	1.82511	+	1.46093i
$523$	22.0826	+	23.1596i	0.965605	+	1.01270i	0.999912	+	0.0132858i	$0.00422913\pi$
$523$	22.0826	+	23.1596i	0.965605	+	1.01270i	−0.0343069	+	0.999411i	$0.510922\pi$
$524$	35.6425	−	41.1337i	1.55705	−	1.79693i
$525$	−10.6482	+	15.0761i	−0.464727	+	0.657976i
$526$	−10.0514	+	22.0095i	−0.438261	+	0.959658i
$527$	1.35705	−	3.38975i	0.0591140	−	0.147660i
$528$	−2.52906	+	1.14183i	−0.110063	+	0.0496920i
$529$	−7.09802	+	21.8773i	−0.308609	+	0.951189i
$530$	8.78612	−	15.2180i	0.381645	−	0.661028i
$531$	−1.53506	+	27.2748i	−0.0666158	+	1.18362i
$532$	−37.7818	−	32.2015i	−1.63805	−	1.39611i
$533$	−0.824170	−	2.80687i	−0.0356988	−	0.121579i
$534$	−40.3806	+	9.61210i	−1.74744	+	0.415956i
$535$	10.9380	−	2.65352i	0.472890	−	0.114722i
$536$	31.7317	−	61.5508i	1.37060	−	2.65859i
$537$	−0.958002	+	4.85780i	−0.0413408	+	0.209629i
$538$	45.9673	−	39.8309i	1.98179	−	1.71723i
$539$	−0.625557	−	0.430229i	−0.0269447	−	0.0185313i
$540$	−11.9197	+	25.2318i	−0.512943	+	1.08580i
$541$	−4.78596	−	3.76372i	−0.205764	−	0.161815i	0.509959	−	0.860199i	$-0.329661\pi$
$541$	−4.78596	−	3.76372i	−0.205764	−	0.161815i	−0.715724	+	0.698384i	$0.753903\pi$
$542$	−1.40249	+	29.4419i	−0.0602422	+	1.26464i
$543$	23.6643	+	10.9306i	1.01553	+	0.469079i
$544$	−1.29522	+	13.5642i	−0.0555322	+	0.581559i
$545$	2.11172	−	1.35712i	0.0904562	−	0.0581326i
$546$	49.8152	+	38.8650i	2.13189	+	1.66327i
$547$	5.08751	−	5.87130i	0.217526	−	0.251039i	−0.636490	−	0.771285i	$-0.719614\pi$
$547$	5.08751	−	5.87130i	0.217526	−	0.251039i	0.854016	+	0.520246i	$0.174160\pi$
$548$	−39.7639	−	9.64661i	−1.69863	−	0.412083i
$549$	−2.17591	+	20.8827i	−0.0928654	+	0.891253i
$550$	0.937040	−	0.736896i	0.0399555	−	0.0314214i
$551$	11.2385	−	19.4656i	0.478776	−	0.829265i
$552$	−67.8666	−	38.6936i	−2.88859	−	1.64691i
$553$	−11.6634	+	11.3044i	−0.495979	+	0.480712i
$554$	9.93778	−	1.42884i	0.422216	−	0.0607055i
$555$	8.67496	+	15.1762i	0.368231	+	0.644193i
$556$	16.4755	−	17.2791i	0.698719	−	0.732795i
$557$	−3.25789	+	16.9035i	−0.138041	+	0.716226i	0.845276	+	0.534329i	$0.179436\pi$
$557$	−3.25789	+	16.9035i	−0.138041	+	0.716226i	−0.983318	+	0.181897i	$0.941776\pi$
$558$	−39.8923	+	25.1539i	−1.68877	+	1.06485i
$559$	−20.8366	−	32.4223i	−0.881293	−	1.37132i
$560$	−30.0950	+	24.0675i	−1.27175	+	1.01704i
$561$	0.0972872	−	0.0686478i	0.00410747	−	0.00289831i
$562$	−7.45423	+	3.84292i	−0.314438	+	0.162104i
$563$	−6.94701	+	2.78116i	−0.292782	+	0.117212i	−0.513404	−	0.858147i	$-0.671616\pi$
$563$	−6.94701	+	2.78116i	−0.292782	+	0.117212i	0.220622	+	0.975359i	$0.429191\pi$
$564$	−47.0051	+	13.5821i	−1.97927	+	0.571910i
$565$	6.15553	+	11.9401i	0.258965	+	0.502322i
$566$	−53.2424	−	61.4450i	−2.23794	−	2.58273i
$567$	22.9072	−	6.50095i	0.962010	−	0.273014i
$568$	−21.2068	+	13.6288i	−0.889818	+	0.571851i
$569$	22.9115	+	24.0289i	0.960500	+	1.00734i	0.999967	+	0.00812261i	$0.00258554\pi$
$569$	22.9115	+	24.0289i	0.960500	+	1.00734i	−0.0394669	+	0.999221i	$0.512566\pi$
$570$	15.3854	+	4.58970i	0.644424	+	0.192242i
$571$	−31.5988	−	30.1294i	−1.32237	−	1.26088i	−0.941821	−	0.336114i	$-0.890887\pi$
$571$	−31.5988	−	30.1294i	−1.32237	−	1.26088i	−0.380547	−	0.924761i	$-0.624264\pi$
$572$	−1.73129	−	2.43125i	−0.0723888	−	0.101656i
$573$	15.0038	−	0.649902i	0.626791	−	0.0271500i
$574$	−2.90925	−	3.00165i	−0.121430	−	0.125286i
$575$	18.5859	+	5.26136i	0.775087	+	0.219414i
$576$	57.7801	−	65.5315i	2.40750	−	2.73048i
$577$	−3.79016	−	4.81958i	−0.157786	−	0.200642i	0.700732	−	0.713425i	$-0.252857\pi$
$577$	−3.79016	−	4.81958i	−0.157786	−	0.200642i	−0.858518	+	0.512783i	$0.828615\pi$
$578$	4.30544	+	45.0886i	0.179083	+	1.87544i
$579$	6.38969	−	18.2074i	0.265546	−	0.756676i
$580$	−26.4810	−	22.9459i	−1.09956	−	0.952778i
$581$	38.1470	+	24.0775i	1.58260	+	0.998904i
$582$	42.5041	−	21.6810i	1.76185	−	0.898705i
$583$	0.705111	+	0.0673299i	0.0292027	+	0.00278852i
$584$	−16.0708	+	46.4335i	−0.665013	+	1.92143i
$585$	−14.4939	−	3.64878i	−0.599249	−	0.150859i
$586$	3.77720	−	4.80310i	0.156035	−	0.198414i
$587$	3.78814	−	26.3471i	0.156353	−	1.08746i	−0.748929	−	0.662651i	$-0.769431\pi$
$587$	3.78814	−	26.3471i	0.156353	−	1.08746i	0.905282	−	0.424811i	$-0.139659\pi$
$588$	64.9872	+	11.7164i	2.68003	+	0.483176i
$589$	12.9964	+	14.9986i	0.535506	+	0.618006i
$590$	2.32904	−	24.3908i	0.0958849	−	1.00415i
$591$	−18.5598	+	28.6077i	−0.763448	+	1.17676i
$592$	−35.6436	−	146.925i	−1.46494	−	6.03858i
$593$	−8.73527	−	25.2389i	−0.358715	−	1.03644i	−0.969595	−	0.244715i	$-0.921306\pi$
$593$	−8.73527	−	25.2389i	−0.358715	−	1.03644i	0.610880	−	0.791723i	$-0.290816\pi$
$594$	−1.53777	−	0.0198892i	−0.0630955	−	0.000816062i
$595$	1.07258	−	1.25845i	0.0439715	−	0.0515914i
$596$	−60.1537	+	8.64880i	−2.46399	+	0.354269i
$597$	−5.07032	−	3.64361i	−0.207515	−	0.149123i
$598$	21.0174	−	62.6937i	0.859466	−	2.56374i
$599$	21.8838	−	12.6346i	0.894146	−	0.516236i	0.0188499	−	0.999822i	$-0.494000\pi$
$599$	21.8838	−	12.6346i	0.894146	−	0.516236i	0.875296	+	0.483587i	$0.160666\pi$
$600$	−30.3154	+	58.1863i	−1.23762	+	2.37545i
$601$	−8.62416	−	3.93852i	−0.351787	−	0.160656i	0.231681	−	0.972792i	$-0.425577\pi$
$601$	−8.62416	−	3.93852i	−0.351787	−	0.160656i	−0.583468	+	0.812136i	$0.698305\pi$
$602$	−47.9169	−	27.1453i	−1.95295	−	1.10636i
$603$	17.4805	−	13.5046i	0.711863	−	0.549948i
$604$	76.1785	−	72.6360i	3.09966	−	2.95552i
$605$	9.63039	+	4.96481i	0.391531	+	0.201848i
$606$	−0.455349	−	0.398012i	−0.0184973	−	0.0161681i
$607$	−7.26624	−	37.7008i	−0.294928	−	1.53023i	−0.762918	−	0.646496i	$-0.776234\pi$
$607$	−7.26624	−	37.7008i	−0.294928	−	1.53023i	0.467990	−	0.883734i	$-0.344978\pi$
$608$	−62.3042	−	40.0405i	−2.52677	−	1.62386i
$609$	0.115366	+	29.8988i	0.00467488	+	1.21156i
$610$	2.67998	−	18.6396i	0.108509	−	0.754697i
$611$	−12.0081	−	23.2925i	−0.485797	−	0.942314i
$612$	−5.25525	+	8.92378i	−0.212431	+	0.360722i
$613$	10.5709	−	14.8447i	0.426953	−	0.599572i	−0.543928	−	0.839132i	$-0.683064\pi$
$613$	10.5709	−	14.8447i	0.426953	−	0.599572i	0.970882	+	0.239560i	$0.0770031\pi$
$614$	2.61970	+	54.9942i	0.105722	+	2.21939i
$615$	0.916407	+	0.371466i	0.0369531	+	0.0149789i
$616$	−2.40881	−	1.21702i	−0.0970536	−	0.0490352i
$617$	1.34537	+	4.58192i	0.0541626	+	0.184461i	0.982131	−	0.188197i	$-0.0602645\pi$
$617$	1.34537	+	4.58192i	0.0541626	+	0.184461i	−0.927969	+	0.372658i	$0.878446\pi$
$618$	−13.0541	−	22.8371i	−0.525111	−	0.918642i
$619$	17.5006	+	22.2538i	0.703407	+	0.894455i	0.998130	−	0.0611278i	$-0.0194697\pi$
$619$	17.5006	+	22.2538i	0.703407	+	0.894455i	−0.294723	+	0.955583i	$0.595227\pi$
$620$	26.7930	−	15.4690i	1.07603	−	0.621249i
$621$	−14.3899	−	20.3453i	−0.577448	−	0.816427i
$622$			39.5417i			1.58548i
$623$	−18.3812	−	14.2136i	−0.736426	−	0.569456i
$624$	111.668	+	65.1152i	4.47031	+	2.60669i
$625$	2.67850	−	11.0409i	0.107140	−	0.441637i
$626$	−82.2268	−	15.8479i	−3.28644	−	0.633410i
$627$	0.0893404	+	0.640980i	0.00356791	+	0.0255983i
$628$	−15.7497	+	0.750251i	−0.628482	+	0.0299383i
$629$	2.69494	+	5.90109i	0.107454	+	0.235292i
$630$	−20.7573	+	5.02571i	−0.826989	+	0.200229i
$631$	−12.6888	−	8.15457i	−0.505131	−	0.324628i	0.263135	−	0.964759i	$-0.415244\pi$
$631$	−12.6888	−	8.15457i	−0.505131	−	0.324628i	−0.768266	+	0.640131i	$0.778880\pi$
$632$	−35.6910	+	45.3848i	−1.41971	+	1.80531i
$633$	4.45323	−	1.28676i	0.177000	−	0.0511441i
$634$	−0.0630728	+	1.32406i	−0.00250494	+	0.0525851i
$635$	−6.34006	+	1.22195i	−0.251597	+	0.0484914i
$636$	−58.3053	+	19.8986i	−2.31196	+	0.789032i
$637$	0.577856	+	35.3633i	0.0228955	+	1.40114i
$638$	0.544040	−	1.85283i	0.0215387	−	0.0733542i
$639$	−7.96891	+	1.07571i	−0.315245	+	0.0425546i
$640$	−24.8180	+	26.0284i	−0.981018	+	1.02886i
$641$	4.52633	+	47.4019i	0.178779	+	1.87226i	0.427948	+	0.903803i	$0.359237\pi$
$641$	4.52633	+	47.4019i	0.178779	+	1.87226i	−0.249169	+	0.968460i	$0.580157\pi$
$642$	−47.8461	−	24.9281i	−1.88834	−	0.983832i
$643$		−	5.68368i		−	0.224142i	−0.993700	−	0.112071i	$-0.964252\pi$
$643$		−	5.68368i		−	0.224142i	0.993700	−	0.112071i	$-0.0357485\pi$
$644$	−11.0581	−	68.2175i	−0.435752	−	2.68815i
$645$	12.9630	+	1.29424i	0.510419	+	0.0509605i
$646$	5.53161	+	2.21452i	0.217638	+	0.0871293i
$647$	11.9308	−	1.13926i	0.469050	−	0.0447888i	0.142144	−	0.989846i	$-0.454600\pi$
$647$	11.9308	−	1.13926i	0.469050	−	0.0447888i	0.326905	+	0.945057i	$0.393994\pi$
$648$	77.5890	−	33.8292i	3.04798	−	1.32894i
$649$	0.933319	−	0.323025i	0.0366360	−	0.0126798i
$650$	−53.2831	−	15.6453i	−2.08993	−	0.613660i
$651$	−24.9804	−	8.53802i	−0.979060	−	0.334631i
$652$	16.7143	+	36.5993i	0.654583	+	1.43334i
$653$	1.55985	+	8.09329i	0.0610418	+	0.316715i	0.999596	−	0.0284165i	$-0.00904646\pi$
$653$	1.55985	+	8.09329i	0.0610418	+	0.316715i	−0.938554	+	0.345131i	$0.887834\pi$
$654$	−11.9024	−	1.76371i	−0.465420	−	0.0689665i
$655$	−9.14786	+	3.66225i	−0.357437	+	0.143096i
$656$	−6.72251	−	5.28664i	−0.262470	−	0.206409i
$657$	−10.9135	+	11.2499i	−0.425775	+	0.438900i
$658$	−30.6791	−	21.4710i	−1.19600	−	0.837025i
$659$	4.41944	−	2.01829i	0.172157	−	0.0786214i	−0.327472	−	0.944861i	$-0.606197\pi$
$659$	4.41944	−	2.01829i	0.172157	−	0.0786214i	0.499629	+	0.866239i	$0.333470\pi$
$660$	1.00753	+	0.0523486i	0.0392179	+	0.00203767i
$661$	10.1917	−	2.47248i	0.396411	−	0.0961684i	−0.0325977	−	0.999469i	$-0.510378\pi$
$661$	10.1917	−	2.47248i	0.396411	−	0.0961684i	0.429009	+	0.903300i	$0.358863\pi$
$662$	−13.9499	+	72.3792i	−0.542180	+	2.81310i
$663$	−5.23381	−	1.83674i	−0.203265	−	0.0713332i
$664$	145.861	+	66.6126i	5.66051	+	2.58507i
$665$	3.40834	+	8.31606i	0.132170	+	0.322483i
$666$	16.5663	−	82.1370i	0.641933	−	3.18274i
$667$	29.4684	−	10.5214i	1.14102	−	0.407392i
$668$	36.8772	+	63.8733i	1.42682	+	2.47133i
$669$	−0.0233923	−	0.0367465i	−0.000904400	−	0.00142070i
$670$	−16.1386	+	11.4922i	−0.623487	+	0.443983i
$671$	0.728323	−	0.213855i	0.0281166	−	0.00825578i
$672$	98.4222	+	4.30787i	3.79672	+	0.166180i
$673$	25.0551	+	7.35685i	0.965804	+	0.283586i	0.726352	−	0.687323i	$-0.241214\pi$
$673$	25.0551	+	7.35685i	0.965804	+	0.283586i	0.239452	+	0.970908i	$0.423032\pi$
$674$	71.2989	−	3.39639i	2.74633	−	0.130824i
$675$	−16.6170	+	12.7234i	−0.639588	+	0.489724i
$676$	−22.3178	+	64.4831i	−0.858378	+	2.48012i
$677$	−30.9639	+	15.9630i	−1.19004	+	0.613509i	−0.935422	−	0.353533i	$-0.884980\pi$
$677$	−30.9639	+	15.9630i	−1.19004	+	0.613509i	−0.254619	+	0.967042i	$0.581950\pi$
$678$	15.4504	−	62.5100i	0.593369	−	2.40068i
$679$	24.3855	+	10.8966i	0.935829	+	0.418173i
$680$	3.17774	−	4.94466i	0.121861	−	0.189619i
$681$	−48.4320	+	4.41409i	−1.85592	+	0.169148i
$682$	1.38886	+	0.989005i	0.0531823	+	0.0378710i
$683$	0.958491	−	1.85921i	0.0366756	−	0.0711408i	−0.869786	−	0.493430i	$-0.835743\pi$
$683$	0.958491	−	1.85921i	0.0366756	−	0.0711408i	0.906461	+	0.422289i	$0.138773\pi$
$684$	−30.0230	−	47.6144i	−1.14796	−	1.82058i
$685$	5.59841	+	4.85105i	0.213904	+	0.185349i
$686$	24.2519	+	44.3394i	0.925944	+	1.69289i
$687$	17.2581	+	10.0634i	0.658438	+	0.383944i
$688$	−104.601	−	41.8761i	−3.98789	−	1.59651i
$689$	−16.4983	−	28.5759i	−0.628536	−	1.08866i
$690$	12.1856	+	18.7369i	0.463897	+	0.713303i
$691$	29.8941	+	17.2594i	1.13723	+	0.656578i	0.945742	−	0.324918i	$-0.105337\pi$
$691$	29.8941	+	17.2594i	1.13723	+	0.656578i	0.191484	+	0.981496i	$0.438670\pi$
$692$	3.37964	+	23.5059i	0.128475	+	0.893561i
$693$	−0.531853	−	0.676936i	−0.0202034	−	0.0257147i
$694$	−76.2950	+	22.4022i	−2.89612	+	0.850377i
$695$	−4.08463	+	1.41370i	−0.154939	+	0.0536249i
$696$	14.6718	+	105.264i	0.556132	+	3.99002i
$697$	0.326178	+	0.168156i	0.0123549	+	0.00636937i
$698$	87.5252	+	8.35764i	3.31288	+	0.316341i
$699$	5.98559	−	4.22355i	0.226396	−	0.159749i
$700$	−56.8990	+	11.4493i	−2.15058	+	0.432742i
$701$	17.3410	+	2.49326i	0.654961	+	0.0941692i	0.461781	−	0.886994i	$-0.347211\pi$
$701$	17.3410	+	2.49326i	0.654961	+	0.0941692i	0.193180	+	0.981163i	$0.438120\pi$
$702$	40.7984	+	58.8907i	1.53984	+	2.22269i
$703$	−35.2209	−	1.67778i	−1.32838	−	0.0632785i
$704$	−2.98488	−	1.03308i	−0.112497	−	0.0389356i
$705$	8.69066	+	1.71388i	0.327309	+	0.0645483i
$706$	−9.22762	−	14.3585i	−0.347286	−	0.540387i
$707$	0.0133453	−	0.338276i	0.000501900	−	0.0127222i
$708$	−62.4250	+	59.0105i	−2.34608	+	2.21775i
$709$	−0.109447	+	0.451147i	−0.00411037	+	0.0169432i	−0.973830	−	0.227278i	$-0.927017\pi$
$709$	−0.109447	+	0.451147i	−0.00411037	+	0.0169432i	0.969719	+	0.244222i	$0.0785324\pi$
$710$	7.17956	−	0.685565i	0.269444	−	0.0257288i
$711$	−16.4423	+	8.29792i	−0.616633	+	0.311196i
$712$	−71.5295	−	41.2976i	−2.68068	−	1.54769i
$713$	0.268931	+	27.6264i	0.0100715	+	1.03462i
$714$	−7.84084	+	1.15824i	−0.293436	+	0.0433460i
$715$	0.0769004	+	0.534854i	0.00287591	+	0.0200024i
$716$	−12.6827	+	9.03128i	−0.473973	+	0.337515i
$717$	−21.6782	+	18.6213i	−0.809589	+	0.695425i
$718$	11.4820	+	2.21297i	0.428504	+	0.0825874i
$719$	10.0143	−	9.54862i	0.373471	−	0.356103i	−0.479978	−	0.877281i	$-0.659355\pi$
$719$	10.0143	−	9.54862i	0.373471	−	0.356103i	0.853449	+	0.521177i	$0.174507\pi$
$720$	−40.7032	+	15.8893i	−1.51692	+	0.592160i
$721$	5.36078	−	13.7142i	0.199646	−	0.510745i
$722$	14.7081	−	12.7446i	0.547379	−	0.474307i
$723$	13.2039	+	33.3983i	0.491058	+	1.24210i
$724$	30.4642	+	76.0960i	1.13219	+	2.82809i
$725$	−9.76687	−	24.3965i	−0.362733	−	0.906062i
$726$	−19.0944	−	48.2980i	−0.708660	−	1.79251i
$727$	−27.7944	+	24.0839i	−1.03084	+	0.893224i	−0.994354	−	0.106110i	$-0.966160\pi$
$727$	−27.7944	+	24.0839i	−1.03084	+	0.893224i	−0.0364811	+	0.999334i	$0.511615\pi$
$728$	18.9081	+	124.292i	0.700782	+	4.60657i
$729$	26.9910	+	0.698306i	0.999665	+	0.0258632i
$730$	10.1742	−	9.70103i	0.376562	−	0.359051i
$731$	4.74734	+	0.914974i	0.175587	+	0.0338415i
$732$	−50.0818	+	43.0195i	−1.85108	+	1.59005i
$733$	−20.0914	+	14.3070i	−0.742094	+	0.528443i	−0.887432	−	0.460939i	$-0.847513\pi$
$733$	−20.0914	+	14.3070i	−0.742094	+	0.528443i	0.145338	+	0.989382i	$0.453573\pi$
$734$	10.6337	+	73.9589i	0.392497	+	2.72987i
$735$	−9.48555	−	7.27659i	−0.349880	−	0.268401i
$736$	−30.0085	−	98.6373i	−1.10613	−	3.63582i
$737$	−0.691616	−	0.399305i	−0.0254760	−	0.0147086i
$738$	−2.13552	−	4.23151i	−0.0786094	−	0.155764i
$739$	31.1548	−	2.97493i	1.14605	−	0.109434i	0.495296	−	0.868724i	$-0.335060\pi$
$739$	31.1548	−	2.97493i	1.14605	−	0.109434i	0.650753	+	0.759290i	$0.274453\pi$
$740$	−12.9592	+	53.4186i	−0.476390	+	1.96371i
$741$	21.9089	−	20.7105i	0.804844	−	0.760820i
$742$	−39.8720	−	25.1663i	−1.46375	−	0.923884i
$743$	−8.26413	−	12.8592i	−0.303181	−	0.471760i	0.655917	−	0.754833i	$-0.272282\pi$
$743$	−8.26413	−	12.8592i	−0.303181	−	0.471760i	−0.959098	+	0.283074i	$0.908646\pi$
$744$	−92.0676	−	18.1566i	−3.37536	−	0.665652i
$745$	10.3972	+	3.59852i	0.380925	+	0.131839i
$746$	36.6210	+	1.74447i	1.34079	+	0.0638697i
$747$	33.1616	+	38.9440i	1.21332	+	1.42489i
$748$	0.370603	+	0.0532846i	0.0135506	+	0.00194828i
$749$	−5.95748	−	29.6067i	−0.217682	−	1.08181i
$750$	34.3770	−	24.2571i	1.25527	−	0.885743i
$751$	−1.06016	−	0.101233i	−0.0386857	−	0.00369403i	0.0756953	−	0.997131i	$-0.475882\pi$
$751$	−1.06016	−	0.101233i	−0.0386857	−	0.00369403i	−0.114381	+	0.993437i	$0.536488\pi$
$752$	−68.0951	−	35.1055i	−2.48317	−	1.28017i
$753$	5.83642	+	41.8739i	0.212691	+	1.52597i
$754$	−85.0094	+	29.4221i	−3.09586	+	1.07149i
$755$	−18.2841	+	5.36871i	−0.665428	+	0.195387i
$756$	66.3888	+	34.6271i	2.41454	+	1.25937i
$757$	0.485617	+	3.37754i	0.0176500	+	0.122759i	0.996742	−	0.0806616i	$-0.0257033\pi$
$757$	0.485617	+	3.37754i	0.0176500	+	0.122759i	−0.979092	+	0.203420i	$0.934794\pi$
$758$	3.99339	+	2.30558i	0.145046	+	0.0837426i
$759$	−0.482967	+	0.760549i	−0.0175306	+	0.0276062i
$760$	15.9737	+	27.6672i	0.579427	+	1.00360i
$761$	12.0277	+	4.81515i	0.436003	+	0.174549i	0.579271	−	0.815135i	$-0.303337\pi$
$761$	12.0277	+	4.81515i	0.436003	+	0.174549i	−0.143269	+	0.989684i	$0.545761\pi$
$762$	26.7361	+	15.5902i	0.968548	+	0.564772i
$763$	−3.41524	−	5.80533i	−0.123640	−	0.210167i
$764$	35.6894	+	30.9251i	1.29120	+	1.11883i
$765$	1.58596	−	1.00002i	0.0573405	−	0.0361557i
$766$	20.6299	−	40.0164i	0.745388	−	1.44585i
$767$	−37.4775	−	26.6876i	−1.35323	−	0.963634i
$768$	71.2115	−	6.49021i	2.56963	−	0.234195i
$769$	17.2838	−	26.8941i	0.623268	−	0.969824i	−0.375801	−	0.926700i	$-0.622633\pi$
$769$	17.2838	−	26.8941i	0.623268	−	0.969824i	0.999070	−	0.0431242i	$-0.0137311\pi$
$770$	0.453002	+	0.625278i	0.0163251	+	0.0225335i
$771$	10.1418	−	41.0323i	0.365249	−	1.47774i
$772$	53.9318	−	27.8038i	1.94105	−	1.00068i
$773$	−3.90583	+	11.2852i	−0.140483	+	0.405899i	−0.993192	−	0.116487i	$-0.962837\pi$
$773$	−3.90583	+	11.2852i	−0.140483	+	0.405899i	0.852709	+	0.522386i	$0.174958\pi$
$774$	−42.7011	−	45.5638i	−1.53486	−	1.63776i
$775$	23.1766	−	1.10404i	0.832527	−	0.0396581i
$776$	91.0972	+	26.7485i	3.27020	+	0.960217i
$777$	41.6068	−	21.6534i	1.49263	−	0.776811i
$778$	−45.3033	+	13.3022i	−1.62420	+	0.476909i
$779$	−1.62476	+	1.15699i	−0.0582132	+	0.0414534i
$780$	−25.2386	−	39.6467i	−0.903686	−	1.41958i
$781$	0.145358	+	0.251768i	0.00520133	+	0.00900897i
$782$	3.87247	+	7.33534i	0.138479	+	0.262311i
$783$	−9.97127	+	32.4028i	−0.356344	+	1.15798i
$784$	61.3446	+	83.2340i	2.19088	+	2.97264i
$785$	2.59663	+	1.18584i	0.0926777	+	0.0423245i
$786$	44.5677	+	15.6405i	1.58968	+	0.557878i
$787$	5.45209	−	28.2881i	0.194346	−	1.00836i	−0.745433	−	0.666581i	$-0.767757\pi$
$787$	5.45209	−	28.2881i	0.194346	−	1.00836i	0.939779	−	0.341782i	$-0.111031\pi$
$788$	−104.208	+	25.2806i	−3.71226	+	0.900584i
$789$	−15.3371	−	0.796880i	−0.546016	−	0.0283697i
$790$	15.0260	−	6.86216i	0.534602	−	0.244145i
$791$	32.6638	−	15.2408i	1.16139	−	0.541900i
$792$	−2.19644	−	2.13076i	−0.0780471	−	0.0757132i
$793$	−27.7956	−	21.8587i	−0.987049	−	0.776224i
$794$	26.4119	−	10.5737i	0.937323	−	0.375248i
$795$	11.0331	+	1.63489i	0.391302	+	0.0579836i
$796$	−3.71567	−	19.2787i	−0.131698	−	0.683315i
$797$	−15.5286	−	34.0030i	−0.550053	−	1.20445i	−0.956757	−	0.290887i	$-0.906049\pi$
$797$	−15.5286	−	34.0030i	−0.550053	−	1.20445i	0.406705	−	0.913560i	$-0.366678\pi$
$798$	13.9329	−	40.7647i	0.493220	−	1.44306i
$799$	3.15420	+	0.926157i	0.111588	+	0.0327651i
$800$	−81.8260	+	28.3202i	−2.89298	+	1.00127i
$801$	−15.0970	−	21.5924i	−0.533426	−	0.762929i
$802$	−7.40863	+	0.707439i	−0.261608	+	0.0249805i
$803$	0.526066	+	0.210605i	0.0185645	+	0.00743210i
$804$	69.1170	+	6.90068i	2.43757	+	0.243368i
$805$	−3.87977	+	11.8947i	−0.136744	+	0.419233i
$806$		−	79.4272i		−	2.79770i
$807$	34.2379	+	17.8381i	1.20523	+	0.627931i
$808$	−0.114390	−	1.19795i	−0.00402423	−	0.0421437i
$809$	22.0736	−	23.1502i	0.776068	−	0.813916i	−0.210444	−	0.977606i	$-0.567491\pi$
$809$	22.0736	−	23.1502i	0.776068	−	0.813916i	0.986512	+	0.163690i	$0.0523396\pi$
$810$	−24.1657	−	1.56920i	−0.849095	−	0.0551359i
$811$	−4.07889	+	13.8914i	−0.143229	+	0.487794i	−0.999591	−	0.0285815i	$-0.990901\pi$
$811$	−4.07889	+	13.8914i	−0.143229	+	0.487794i	0.856362	+	0.516376i	$0.172719\pi$
$812$	−64.3218	+	68.5718i	−2.25725	+	2.40640i
$813$	−17.7060	+	6.04274i	−0.620975	+	0.211928i
$814$	−2.97459	+	0.573305i	−0.104259	+	0.0200943i
$815$	0.346600	−	7.27602i	0.0121409	−	0.254868i
$816$	−15.5785	+	4.50140i	−0.545356	+	0.157581i
$817$	−16.2441	+	20.6561i	−0.568310	+	0.722665i
$818$	45.5153	+	29.2509i	1.59140	+	1.02273i
$819$	−11.3159	+	38.4740i	−0.395409	+	1.34439i
$820$	1.29169	+	2.82841i	0.0451079	+	0.0987724i
$821$	−15.0300	+	0.715968i	−0.524551	+	0.0249875i	−0.308188	−	0.951325i	$-0.599723\pi$
$821$	−15.0300	+	0.715968i	−0.524551	+	0.0249875i	−0.216363	+	0.976313i	$0.569420\pi$
$822$	−4.90177	−	35.1681i	−0.170969	−	1.22663i
$823$	30.0731	+	5.79612i	1.04828	+	0.202040i	0.684176	−	0.729317i	$-0.260162\pi$
$823$	30.0731	+	5.79612i	1.04828	+	0.202040i	0.364107	+	0.931357i	$0.381374\pi$
$824$	12.3400	−	50.8663i	0.429885	−	1.77201i
$825$	0.653636	+	0.381143i	0.0227567	+	0.0132697i
$826$	−65.1483	−	8.82430i	−2.26680	−	0.307037i
$827$			45.9111i			1.59648i	0.602337	+	0.798242i	$0.294236\pi$
$827$			45.9111i			1.59648i	−0.602337	+	0.798242i	$0.705764\pi$
$828$	11.0657	−	77.5758i	0.384558	−	2.69595i
$829$	11.4212	−	6.59402i	0.396674	−	0.229020i	−0.288374	−	0.957518i	$-0.593115\pi$
$829$	11.4212	−	6.59402i	0.396674	−	0.229020i	0.685048	+	0.728498i	$0.259781\pi$
$830$	−28.3592	−	36.0617i	−0.984364	−	1.25172i
$831$	3.16249	+	5.53254i	0.109706	+	0.191922i
$832$	41.4547	+	141.182i	1.43718	+	4.89460i
$833$	−3.26061	−	3.00883i	−0.112973	−	0.104250i
$834$	19.2012	+	7.78320i	0.664882	+	0.269510i
$835$	−0.635346	−	13.3375i	−0.0219870	−	0.461565i
$836$	−1.18045	+	1.65771i	−0.0408267	+	0.0573331i
$837$	−24.1569	−	17.6773i	−0.834983	−	0.611016i
$838$	−10.2523	−	19.8866i	−0.354159	−	0.686972i
$839$	2.47569	−	17.2188i	0.0854704	−	0.594460i	−0.901405	−	0.432977i	$-0.857463\pi$
$839$	2.47569	−	17.2188i	0.0854704	−	0.594460i	0.986876	−	0.161483i	$-0.0516277\pi$
$840$	−36.8848	−	21.1061i	−1.27265	−	0.728230i
$841$	−11.4150	−	7.33600i	−0.393622	−	0.252966i
$842$	−0.815146	−	4.22938i	−0.0280918	−	0.145754i
$843$	−4.00788	−	3.50322i	−0.138039	−	0.120657i
$844$	12.9558	+	6.67917i	0.445957	+	0.229907i
$845$	8.94072	−	8.52496i	0.307570	−	0.293268i
$846$	−25.9582	−	33.6008i	−0.892462	−	1.15522i
$847$	14.3299	−	25.2951i	0.492381	−	0.869151i
$848$	−87.7476	−	40.0730i	−3.01326	−	1.37611i
$849$	23.8444	−	45.7662i	0.818339	−	1.57069i
$850$	6.03297	−	3.48313i	0.206929	−	0.119471i
$851$	−35.8538	−	33.5264i	−1.22905	−	1.14927i
$852$	−20.5337	−	14.7558i	−0.703472	−	0.505525i
$853$	4.89025	−	0.703111i	0.167439	−	0.0240741i	−0.0580855	−	0.998312i	$-0.518500\pi$
$853$	4.89025	−	0.703111i	0.167439	−	0.0240741i	0.225524	+	0.974238i	$0.427591\pi$
$854$	−49.6917	−	9.15691i	−1.70042	−	0.313343i
$855$	0.881192	+	10.1526i	0.0301361	+	0.347212i
$856$	−35.1113	−	101.448i	−1.20008	−	3.46741i
$857$	−2.40353	−	9.90749i	−0.0821031	−	0.338434i	0.915914	−	0.401374i	$-0.131467\pi$
$857$	−2.40353	−	9.90749i	−0.0821031	−	0.338434i	−0.998017	+	0.0629406i	$0.979952\pi$
$858$	1.40970	−	2.17289i	0.0481265	−	0.0741812i
$859$	2.60247	−	27.2543i	0.0887951	−	0.929905i	−0.835820	−	0.549003i	$-0.815008\pi$
$859$	2.60247	−	27.2543i	0.0887951	−	0.929905i	0.924616	−	0.380902i	$-0.124386\pi$
$860$	26.8265	+	30.9594i	0.914775	+	1.05571i
$861$	1.09288	−	2.41771i	0.0372451	−	0.0823953i
$862$	−8.65788	+	60.2169i	−0.294889	+	2.05100i
$863$	−1.29071	+	1.64128i	−0.0439364	+	0.0558697i	−0.807525	−	0.589834i	$-0.799193\pi$
$863$	−1.29071	+	1.64128i	−0.0439364	+	0.0558697i	0.763588	+	0.645703i	$0.223436\pi$
$864$	105.082	+	37.8980i	3.57496	+	1.28932i
$865$	1.40617	−	4.06286i	0.0478113	−	0.138142i
$866$	50.4928	+	4.82147i	1.71581	+	0.163840i
$867$	−25.6097	+	13.0633i	−0.869752	+	0.443653i
$868$	−38.6402	−	73.4716i	−1.31153	−	2.49379i
$869$	0.503220	+	0.436042i	0.0170706	+	0.0147917i
$870$	10.0690	−	28.6918i	0.341372	−	0.972742i
$871$	3.53635	+	37.0344i	0.119825	+	1.25486i
$872$	−14.8001	−	18.8198i	−0.501194	−	0.637321i
$873$	22.7164	+	20.0294i	0.768834	+	0.677892i
$874$	−45.0827	+	0.438859i	−1.52494	+	0.0148446i
$875$	22.6511	+	6.45044i	0.765748	+	0.218065i
$876$	−49.2400	+	2.13288i	−1.66366	+	0.0720632i
$877$	−16.4100	−	23.0446i	−0.554125	−	0.778159i	0.438585	−	0.898690i	$-0.355480\pi$
$877$	−16.4100	−	23.0446i	−0.554125	−	0.778159i	−0.992710	+	0.120530i	$0.961540\pi$
$878$	−4.49522	−	4.28618i	−0.151706	−	0.144652i
$879$	3.71657	+	1.10871i	0.125357	+	0.0373958i
$880$	1.09013	+	1.14329i	0.0367482	+	0.0385404i
$881$	13.0264	−	8.37159i	0.438872	−	0.282046i	−0.302488	−	0.953153i	$-0.597817\pi$
$881$	13.0264	−	8.37159i	0.438872	−	0.282046i	0.741360	+	0.671107i	$0.234181\pi$
$882$	11.2790	+	56.1843i	0.379784	+	1.89182i
$883$	−26.2088	−	30.2466i	−0.881998	−	1.01788i	−0.999692	−	0.0248298i	$-0.992096\pi$
$883$	−26.2088	−	30.2466i	−0.881998	−	1.01788i	0.117694	−	0.993050i	$-0.462450\pi$
$884$	−7.99233	−	15.5030i	−0.268811	−	0.521421i
$885$	14.9406	−	4.31709i	0.502224	−	0.145117i
$886$	79.3702	−	31.7750i	2.66649	−	1.06750i
$887$	−30.4727	+	15.7098i	−1.02317	+	0.527482i	−0.886302	−	0.463107i	$-0.846734\pi$
$887$	−30.4727	+	15.7098i	−1.02317	+	0.527482i	−0.136870	+	0.990589i	$0.543704\pi$
$888$	136.229	−	96.1259i	4.57155	−	3.22577i
$889$	2.60558	+	17.1277i	0.0873884	+	0.574445i
$890$	12.7757	+	19.8793i	0.428242	+	0.666357i
$891$	−0.347116	−	0.912341i	−0.0116288	−	0.0305646i
$892$	0.0259230	−	0.134501i	0.000867966	−	0.00450343i
$893$	−12.3303	+	12.9316i	−0.412616	+	0.432740i
$894$	−26.1720	−	45.7860i	−0.875324	−	1.53131i
$895$	2.79007	−	0.401152i	0.0932618	−	0.0134090i
$896$	67.1602	+	69.2932i	2.24367	+	2.31492i
$897$	41.9108	−	2.22433i	1.39936	−	0.0742681i
$898$	54.7840	−	94.8887i	1.82817	−	3.16648i
$899$	29.5448	−	23.2343i	0.985373	−	0.774906i
$900$	−65.4563	−	6.82031i	−2.18188	−	0.227344i
$901$	4.02258	+	0.975867i	0.134012	+	0.0325108i
$902$	−0.112218	+	0.129506i	−0.00373645	+	0.00431209i
$903$	4.84113	−	34.6186i	0.161103	−	1.15203i
$904$	107.787	−	69.2705i	3.58494	−	2.30390i
$905$	1.41059	−	14.7724i	0.0468896	−	0.491050i
$906$	82.9239	+	38.3030i	2.75496	+	1.27253i
$907$	−1.49923	+	31.4726i	−0.0497810	+	1.04503i	0.826410	+	0.563068i	$0.190379\pi$
$907$	−1.49923	+	31.4726i	−0.0497810	+	1.04503i	−0.876191	+	0.481964i	$0.839924\pi$
$908$	−120.208	−	94.5330i	−3.98926	−	3.13719i
$909$	0.128674	−	0.361659i	0.00426784	−	0.0119955i
$910$	11.4863	−	34.0860i	0.380768	−	1.12994i
$911$	−26.8829	+	23.2941i	−0.890669	+	0.771769i	−0.974424	−	0.224717i	$-0.927854\pi$
$911$	−26.8829	+	23.2941i	−0.890669	+	0.771769i	0.0837551	+	0.996486i	$0.473309\pi$
$912$	17.0532	−	86.4727i	0.564688	−	2.86340i
$913$	0.847376	−	1.64368i	0.0280440	−	0.0543978i
$914$	65.3584	−	15.8558i	2.16187	−	0.524463i
$915$	11.6278	−	2.76786i	0.384404	−	0.0915025i
$916$	17.6987	+	60.2761i	0.584781	+	1.99158i
$917$	8.85135	+	24.9139i	0.292297	+	0.822729i
$918$	−8.87840	−	1.39394i	−0.293031	−	0.0460070i
$919$	−15.8354	+	27.4277i	−0.522361	+	0.904755i	0.477301	+	0.878740i	$0.341615\pi$
$919$	−15.8354	+	27.4277i	−0.522361	+	0.904755i	−0.999662	+	0.0260153i	$0.991718\pi$
$920$	−7.99131	+	43.7504i	−0.263466	+	1.44241i
$921$	−31.8501	+	14.3798i	−1.04950	+	0.473832i
$922$	14.0540	−	35.1052i	0.462844	−	1.15613i
$923$	5.62592	−	12.3191i	0.185180	−	0.405487i
$924$	0.246921	−	2.69576i	0.00812311	−	0.0886841i
$925$	−26.9966	+	31.1558i	−0.887644	+	1.02440i
$926$	−25.0074	−	26.2270i	−0.821794	−	0.861873i
$927$	10.4337	−	13.0347i	0.342689	−	0.428116i
$928$	−81.3611	+	114.256i	−2.67081	+	3.75063i
$929$	−4.88868	+	0.942216i	−0.160392	+	0.0309131i	−0.268815	−	0.963192i	$-0.586632\pi$
$929$	−4.88868	+	0.942216i	−0.160392	+	0.0309131i	0.108423	+	0.994105i	$0.465420\pi$
$930$	21.0322	+	16.6872i	0.689674	+	0.547194i
$931$	22.6569	−	8.25856i	0.742549	−	0.270663i
$932$	22.8013	+	3.27833i	0.746881	+	0.107385i
$933$	−23.3403	+	9.22750i	−0.764127	+	0.302095i
$934$	−44.5200	−	15.4085i	−1.45674	−	0.504182i
$935$	−0.0552157	−	0.0393189i	−0.00180575	−	0.00128587i
$936$	−21.5036	+	140.924i	−0.702866	+	4.60625i
$937$	−1.95149	+	6.64616i	−0.0637523	+	0.217121i	−0.985208	−	0.171363i	$-0.945183\pi$
$937$	−1.95149	+	6.64616i	−0.0637523	+	0.217121i	0.921456	+	0.388484i	$0.127001\pi$
$938$	29.1050	+	44.4850i	0.950312	+	1.45249i
$939$	−9.83397	−	52.2343i	−0.320920	−	1.70460i
$940$	16.1571	+	22.6894i	0.526986	+	0.740048i
$941$	22.1297	−	17.4030i	0.721406	−	0.567320i	−0.188530	−	0.982067i	$-0.560372\pi$
$941$	22.1297	−	17.4030i	0.721406	−	0.567320i	0.909937	+	0.414747i	$0.136130\pi$
$942$	−5.63047	−	12.4710i	−0.183451	−	0.406327i
$943$	−2.76658	−	0.237025i	−0.0900922	−	0.00771858i
$944$	−134.505			−4.37777
$945$	−7.81046	−	11.0796i	−0.254074	−	0.360418i
$946$	−0.937850	+	2.05360i	−0.0304921	+	0.0667684i
$947$	13.8728	+	3.36550i	0.450805	+	0.109364i	0.454732	−	0.890628i	$-0.349735\pi$
$947$	13.8728	+	3.36550i	0.450805	+	0.109364i	−0.00392705	+	0.999992i	$0.501250\pi$
$948$	−55.4973	−	16.5557i	−1.80247	−	0.537704i
$949$	−6.22343	−	25.6533i	−0.202021	−	0.832743i
$950$	1.80164	+	37.8211i	0.0584529	+	1.22708i
$951$	−0.796271	+	0.271754i	−0.0258209	+	0.00881222i
$952$	−12.9211	−	9.04292i	−0.418776	−	0.293083i
$953$	24.4779	−	38.0883i	0.792916	−	1.23380i	−0.175505	−	0.984479i	$-0.556156\pi$
$953$	24.4779	−	38.0883i	0.792916	−	1.23380i	0.968421	−	0.249322i	$-0.0802079\pi$
$954$	−34.6612	−	40.7050i	−1.12220	−	1.31787i
$955$	−3.17753	−	7.93709i	−0.102823	−	0.256838i
$956$	−89.7621	−	4.27590i	−2.90312	−	0.138292i
$957$	1.22063	−	0.111248i	0.0394572	−	0.00359613i
$958$	12.8482	−	5.86756i	0.415105	−	0.189572i
$959$	13.5984	−	14.4969i	0.439115	−	0.468129i
$960$	−46.0941	−	18.6843i	−1.48768	−	0.603032i
$961$	0.715179	+	2.06637i	0.0230703	+	0.0666572i
$962$	102.133	+	97.3840i	3.29291	+	3.13979i
$963$	3.54886	−	34.0593i	0.114360	−	1.09755i
$964$	−41.9723	+	104.842i	−1.35184	+	3.37672i
$965$	−10.9851			−0.353622
$966$	51.5249	−	30.6892i	1.65779	−	0.987409i
$967$	−5.31302			−0.170855			−0.0854276	−	0.996344i	$-0.527226\pi$
$967$	−5.31302			−0.170855			−0.0854276	+	0.996344i	$0.527226\pi$
$968$	38.4084	−	95.9395i	1.23449	−	3.08361i
$969$	−0.0163040	+	3.78193i	−0.000523761	+	0.121493i
$970$	−19.6591	−	18.7449i	−0.631214	−	0.601861i
$971$	0.613532	+	1.77268i	0.0196892	+	0.0568881i	0.954417	−	0.298476i	$-0.0964782\pi$
$971$	0.613532	+	1.77268i	0.0196892	+	0.0568881i	−0.934728	+	0.355364i	$0.884357\pi$
$972$	60.1694	+	59.8999i	1.92994	+	1.92129i
$973$	3.35827	+	11.1009i	0.107661	+	0.355879i
$974$	99.1815	−	45.2947i	3.17798	−	1.45134i
$975$	−3.19923	−	35.1024i	−0.102457	−	1.12418i
$976$	−103.260	−	4.91887i	−3.30526	−	0.157449i
$977$	12.2367	+	30.5659i	0.391488	+	0.977890i	0.984921	+	0.173006i	$0.0553481\pi$
$977$	12.2367	+	30.5659i	0.391488	+	0.977890i	−0.593433	+	0.804884i	$0.702228\pi$
$978$	−24.2037	+	25.1660i	−0.773948	+	0.804719i
$979$	−0.514974	+	0.801315i	−0.0164586	+	0.0256101i
$980$	−5.95729	−	37.1180i	−0.190299	−	1.18569i
$981$	−1.73649	−	7.43720i	−0.0554418	−	0.237452i
$982$	0.315149	+	6.61580i	0.0100568	+	0.211119i
$983$	−9.80523	−	40.4177i	−0.312738	−	1.28912i	−0.883664	−	0.468122i	$-0.844931\pi$
$983$	−9.80523	−	40.4177i	−0.312738	−	1.28912i	0.570925	−	0.821002i	$-0.306585\pi$
$984$	2.69613	−	9.03785i	0.0859494	−	0.288116i
$985$	18.8661	+	4.57686i	0.601123	+	0.145831i
$986$	4.68781	−	10.2649i	0.149290	−	0.326900i
$987$	5.51434	−	23.1194i	0.175524	−	0.735900i
$988$	94.8023			3.01606
$989$	−35.8519	+	7.27254i	−1.14002	+	0.231253i
$990$	0.279208	+	0.829798i	0.00887381	+	0.0263727i
$991$	−24.4206	+	19.2046i	−0.775747	+	0.610054i	−0.925534	−	0.378664i	$-0.876384\pi$
$991$	−24.4206	+	19.2046i	−0.775747	+	0.610054i	0.149787	+	0.988718i	$0.452141\pi$
$992$	−71.8375	−	100.882i	−2.28084	−	3.20300i
$993$	−45.9786	+	8.65624i	−1.45909	+	0.274697i
$994$	−1.07868	−	19.3218i	−0.0342138	−	0.612850i
$995$	−1.00142	+	3.41051i	−0.0317470	+	0.108120i
$996$	−8.34572	+	160.626i	−0.264444	+	5.08962i
$997$	25.6968	+	18.2986i	0.813826	+	0.579523i	0.909411	−	0.415898i	$-0.136533\pi$
$997$	25.6968	+	18.2986i	0.813826	+	0.579523i	−0.0955848	+	0.995421i	$0.530472\pi$
$998$	−19.5542	−	6.76778i	−0.618978	−	0.214230i
$999$	52.3489	−	9.38896i	1.65625	−	0.297053i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.26.1	✓	1200
3.2	odd	2	inner	483.2.bb.a.26.60	yes	1200
7.3	odd	6	inner	483.2.bb.a.164.1	yes	1200
21.17	even	6	inner	483.2.bb.a.164.60	yes	1200
23.8	even	11	inner	483.2.bb.a.215.60	yes	1200
69.8	odd	22	inner	483.2.bb.a.215.1	yes	1200
161.31	odd	66	inner	483.2.bb.a.353.60	yes	1200
483.353	even	66	inner	483.2.bb.a.353.1	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.1	✓	1200	1.1	even	1	trivial
483.2.bb.a.26.60	yes	1200	3.2	odd	2	inner
483.2.bb.a.164.1	yes	1200	7.3	odd	6	inner
483.2.bb.a.164.60	yes	1200	21.17	even	6	inner
483.2.bb.a.215.1	yes	1200	69.8	odd	22	inner
483.2.bb.a.215.60	yes	1200	23.8	even	11	inner
483.2.bb.a.353.1	yes	1200	483.353	even	66	inner
483.2.bb.a.353.60	yes	1200	161.31	odd	66	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bb (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.01420 + 2.53335i) q^{2} +(-1.73203 - 0.00746686i) q^{3} +(-3.94179 - 3.75849i) q^{4} +(0.322502 + 0.931809i) q^{5} +(1.77555 - 4.38028i) q^{6} +(2.53241 - 0.766108i) q^{7} +(8.55491 - 3.90689i) q^{8} +(2.99989 + 0.0258657i) q^{9} +O(q^{10})\)	\(q+(-1.01420 + 2.53335i) q^{2} +(-1.73203 - 0.00746686i) q^{3} +(-3.94179 - 3.75849i) q^{4} +(0.322502 + 0.931809i) q^{5} +(1.77555 - 4.38028i) q^{6} +(2.53241 - 0.766108i) q^{7} +(8.55491 - 3.90689i) q^{8} +(2.99989 + 0.0258657i) q^{9} +(-2.68768 - 0.128030i) q^{10} +(-0.0403107 - 0.100691i) q^{11} +(6.79926 + 6.53927i) q^{12} +(-2.73163 + 4.25050i) q^{13} +(-0.627547 + 7.19246i) q^{14} +(-0.551627 - 1.61633i) q^{15} +(0.702836 + 14.7544i) q^{16} +(-0.149429 - 0.615953i) q^{17} +(-3.10802 + 7.57354i) q^{18} +(3.34791 + 0.812193i) q^{19} +(2.23096 - 4.88512i) q^{20} +(-4.39193 + 1.30802i) q^{21} +0.295969 q^{22} +(2.81975 + 3.87931i) q^{23} +(-14.8466 + 6.70300i) q^{24} +(3.16601 - 2.48977i) q^{25} +(-7.99758 - 11.2310i) q^{26} +(-5.19572 - 0.0672001i) q^{27} +(-12.8616 - 6.49819i) q^{28} +(1.83816 - 6.26021i) q^{29} +(4.65420 + 0.241821i) q^{30} +(4.69260 + 3.34158i) q^{31} +(-20.3157 - 7.03133i) q^{32} +(0.0690676 + 0.174702i) q^{33} +(1.71197 + 0.246145i) q^{34} +(1.53057 + 2.11265i) q^{35} +(-11.7277 - 11.3770i) q^{36} +(-10.0503 + 1.93705i) q^{37} +(-5.45302 + 7.65769i) q^{38} +(4.76301 - 7.34161i) q^{39} +(6.39946 + 6.71156i) q^{40} +(-0.379154 + 0.437568i) q^{41} +(1.14064 - 12.4529i) q^{42} +(-3.16874 + 6.93858i) q^{43} +(-0.219551 + 0.548411i) q^{44} +(0.943369 + 2.80366i) q^{45} +(-12.6874 + 3.20902i) q^{46} +(-2.59330 + 4.49172i) q^{47} +(-1.10717 - 25.5603i) q^{48} +(5.82616 - 3.88019i) q^{49} +(3.09651 + 10.5457i) q^{50} +(0.254216 + 1.06797i) q^{51} +(26.7430 - 6.48778i) q^{52} +(-2.99252 + 5.80468i) q^{53} +(5.43974 - 13.0944i) q^{54} +(0.0808246 - 0.0700349i) q^{55} +(18.6714 - 16.4478i) q^{56} +(-5.79262 - 1.43174i) q^{57} +(13.9950 + 11.0058i) q^{58} +(-0.433280 + 9.09566i) q^{59} +(-3.90058 + 8.44454i) q^{60} +(-0.665259 + 6.96691i) q^{61} +(-13.2246 + 8.49896i) q^{62} +(7.61675 - 2.23274i) q^{63} +(19.0710 - 22.0091i) q^{64} +(-4.84161 - 1.17456i) q^{65} +(-0.512629 - 0.00220996i) q^{66} +(5.78782 - 4.55159i) q^{67} +(-1.72604 + 2.98959i) q^{68} +(-4.85494 - 6.74015i) q^{69} +(-6.90438 + 1.73483i) q^{70} +(-2.65311 + 0.381460i) q^{71} +(25.7648 - 11.4990i) q^{72} +(-3.60536 + 3.78119i) q^{73} +(5.28585 - 27.4256i) q^{74} +(-5.50222 + 4.28873i) q^{75} +(-10.1441 - 15.7846i) q^{76} +(-0.179223 - 0.224108i) q^{77} +(13.7682 + 19.5122i) q^{78} +(-5.45670 + 2.81312i) q^{79} +(-13.5216 + 5.41322i) q^{80} +(8.99866 + 0.155189i) q^{81} +(-0.723973 - 1.40431i) q^{82} +(11.1654 + 12.8855i) q^{83} +(22.2283 + 11.3511i) q^{84} +(0.525759 - 0.337885i) q^{85} +(-14.3641 - 15.0646i) q^{86} +(-3.23051 + 10.8292i) q^{87} +(-0.738243 - 0.703914i) q^{88} +(-5.09420 - 7.15380i) q^{89} +(-8.05943 - 0.453595i) q^{90} +(-3.66125 + 12.8567i) q^{91} +(3.46547 - 25.8894i) q^{92} +(-8.10279 - 5.82278i) q^{93} +(-8.74899 - 11.1252i) q^{94} +(0.322898 + 3.38154i) q^{95} +(35.1350 + 12.3302i) q^{96} +(7.62942 + 6.61093i) q^{97} +(3.92100 + 18.6950i) q^{98} +(-0.118323 - 0.303105i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Introduction

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