LMFDB - Embedded newform 483.2.bb.a.353.1

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			353.1
Character	$\chi$	$=$	483.353
Dual form			483.2.bb.a.26.1

$q$-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 $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{11}\right)$

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	−0.602774	−	0.797912i	$-0.705938\pi$
$2$	−1.01420	−	2.53335i	−0.717148	−	1.79135i	−0.114374	−	0.993438i	$-0.536486\pi$
$3$	−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	−0.849631	−	0.527378i	$-0.823175\pi$
$5$	0.322502	−	0.931809i	0.144227	−	0.416718i	0.993858	+	0.110660i	$0.0352965\pi$
$6$	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	−0.934321	−	0.356433i	$-0.883993\pi$
$11$	−0.0403107	+	0.100691i	−0.0121541	+	0.0303595i	0.922167	+	0.386793i	$0.126417\pi$
$12$	6.79926	−	6.53927i	1.96278	−	1.88773i
$13$	−2.73163	−	4.25050i	−0.757617	−	1.17888i	−0.979034	−	0.203696i	$-0.934705\pi$
$13$	−2.73163	−	4.25050i	−0.757617	−	1.17888i	0.221417	−	0.975179i	$-0.428932\pi$
$14$	−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	−0.987058	−	0.160366i	$-0.948732\pi$
$17$	−0.149429	+	0.615953i	−0.0362417	+	0.149391i	0.950816	+	0.309757i	$0.100248\pi$
$18$	−3.10802	−	7.57354i	−0.732566	−	1.78510i
$19$	3.34791	−	0.812193i	0.768062	−	0.186330i	0.167461	−	0.985879i	$-0.446443\pi$
$19$	3.34791	−	0.812193i	0.768062	−	0.186330i	0.600601	+	0.799549i	$0.294928\pi$
$20$	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	0.934069	+	0.357091i	$0.116232\pi$
$29$	1.83816	+	6.26021i	0.341338	+	1.16249i	−0.592731	+	0.805401i	$0.701950\pi$
$30$	4.65420	−	0.241821i	0.849737	−	0.0441503i
$31$	4.69260	−	3.34158i	0.842815	−	0.600166i	−0.0749957	−	0.997184i	$-0.523894\pi$
$31$	4.69260	−	3.34158i	0.842815	−	0.600166i	0.917811	+	0.397018i	$0.129955\pi$
$32$	−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	−0.723841	−	0.689967i	$-0.757625\pi$
$37$	−10.0503	−	1.93705i	−1.65227	−	0.318448i	−0.928425	+	0.371519i	$0.878837\pi$
$38$	−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	0.725370	−	0.688359i	$-0.241669\pi$
$41$	−0.379154	−	0.437568i	−0.0592140	−	0.0683366i	−0.784584	+	0.620023i	$0.787123\pi$
$42$	1.14064	+	12.4529i	0.176004	+	1.92152i
$43$	−3.16874	−	6.93858i	−0.483229	−	1.05812i	−0.981563	−	0.191138i	$-0.938782\pi$
$43$	−3.16874	−	6.93858i	−0.483229	−	1.05812i	0.498334	−	0.866985i	$-0.333945\pi$
$44$	−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	0.612540	−	0.790440i	$-0.290148\pi$
$47$	−2.59330	−	4.49172i	−0.378271	−	0.655185i	−0.990811	+	0.135255i	$0.956815\pi$
$48$	−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	0.588886	−	0.808216i	$-0.299567\pi$
$53$	−2.99252	−	5.80468i	−0.411054	−	0.797334i	−0.999941	+	0.0108814i	$0.996536\pi$
$54$	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	−0.832679	−	0.553755i	$-0.813194\pi$
$59$	−0.433280	−	9.09566i	−0.0564082	−	1.18415i	0.776271	−	0.630399i	$-0.217109\pi$
$60$	−3.90058	−	8.44454i	−0.503562	−	1.09019i
$61$	−0.665259	−	6.96691i	−0.0851777	−	0.892021i	−0.932555	−	0.361029i	$-0.882426\pi$
$61$	−0.665259	−	6.96691i	−0.0851777	−	0.892021i	0.847377	−	0.530992i	$-0.178181\pi$
$62$	−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	0.905651	−	0.424024i	$-0.139383\pi$
$67$	5.78782	+	4.55159i	0.707095	+	0.556066i	−0.198556	+	0.980090i	$0.563625\pi$
$68$	−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	−0.0169301	−	0.999857i	$-0.505389\pi$
$71$	−2.65311	−	0.381460i	−0.314867	−	0.0452710i	−0.297937	+	0.954586i	$0.596298\pi$
$72$	25.7648	+	11.4990i	3.03641	+	1.35517i
$73$	−3.60536	−	3.78119i	−0.421975	−	0.442555i	0.478090	−	0.878311i	$-0.341329\pi$
$73$	−3.60536	−	3.78119i	−0.421975	−	0.442555i	−0.900065	+	0.435756i	$0.856481\pi$
$74$	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	0.123070	−	0.992398i	$-0.460726\pi$
$79$	−5.45670	−	2.81312i	−0.613927	−	0.316501i	−0.736996	+	0.675897i	$0.763756\pi$
$80$	−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	0.346236	−	0.938148i	$-0.387460\pi$
$83$	11.1654	−	12.8855i	1.22556	−	1.41437i	0.879324	−	0.476224i	$-0.157995\pi$
$84$	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	−0.990949	−	0.134240i	$-0.957141\pi$
$89$	−5.09420	+	7.15380i	−0.539984	+	0.758301i	0.450965	+	0.892542i	$0.351080\pi$
$90$	−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	−0.174994	−	0.984570i	$-0.555990\pi$
$97$	7.62942	−	6.61093i	0.774650	−	0.671238i	0.949644	+	0.313331i	$0.101445\pi$
$98$	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	0.947064	−	0.321045i	$-0.104034\pi$
$101$	0.0418502	+	0.120918i	0.00416425	+	0.0120318i	−0.942900	+	0.333077i	$0.891913\pi$
$102$	−2.96336	+	0.439114i	−0.293417	+	0.0434788i
$103$	3.44032	+	4.37472i	0.338985	+	0.431054i	0.925421	−	0.378941i	$-0.123712\pi$
$103$	3.44032	+	4.37472i	0.338985	+	0.431054i	−0.586436	+	0.809996i	$0.699469\pi$
$104$	−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	0.882683	+	0.469968i	$0.155735\pi$
$107$	1.08502	+	11.3629i	0.104893	+	1.09849i	−0.777790	+	0.628524i	$0.783659\pi$
$108$	20.2279	−	19.7930i	1.94643	−	1.90458i
$109$	−0.600182	+	2.47398i	−0.0574870	+	0.236965i	−0.993305	−	0.115518i	$-0.963147\pi$
$109$	−0.600182	+	2.47398i	−0.0574870	+	0.236965i	0.935818	+	0.352483i	$0.114662\pi$
$110$	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	0.743532	−	0.668700i	$-0.233149\pi$
$113$	13.4849	+	1.93883i	1.26855	+	0.182390i	0.525019	+	0.851091i	$0.324058\pi$
$114$	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	−0.988474	−	0.151394i	$-0.951624\pi$
$127$	−0.931899	−	6.48150i	−0.0826926	−	0.575140i	0.905781	−	0.423746i	$-0.139285\pi$
$128$	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	−0.877886	−	0.478869i	$-0.841047\pi$
$131$	0.475496	−	9.98188i	0.0415443	−	0.872121i	0.919431	−	0.393252i	$-0.128650\pi$
$132$	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	0.751480	−	0.659755i	$-0.229340\pi$
$137$	6.50612	+	3.75631i	0.555856	+	0.320923i	−0.195625	+	0.980679i	$0.562673\pi$
$138$	21.9990	+	5.46340i	1.87268	+	0.465076i
$139$		−	4.38355i		−	0.371808i	−0.982568	−	0.185904i	$-0.940479\pi$
$139$		−	4.38355i		−	0.371808i	0.982568	−	0.185904i	$-0.0595213\pi$
$140$	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	0.981678	−	0.190546i	$-0.0610258\pi$
$149$	6.89749	+	8.77087i	0.565064	+	0.718538i	−0.416614	+	0.909083i	$0.636783\pi$
$150$	−5.28451	+	18.2887i	−0.431479	+	1.49327i
$151$	−0.919560	−	19.3039i	−0.0748327	−	1.57093i	−0.654489	−	0.756072i	$-0.727116\pi$
$151$	−0.919560	−	19.3039i	−0.0748327	−	1.57093i	0.579656	−	0.814861i	$-0.303187\pi$
$152$	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	0.798609	−	0.601851i	$-0.205570\pi$
$157$	1.99778	+	2.09522i	0.159440	+	0.167216i	−0.639168	+	0.769067i	$0.720721\pi$
$158$	−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	−0.624357	−	0.781139i	$-0.714639\pi$
$163$	−6.85823	+	2.74562i	−0.537178	+	0.215054i	0.0871793	+	0.996193i	$0.472215\pi$
$164$	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	−0.742687	−	0.669638i	$-0.766449\pi$
$167$	−12.9932	+	3.81514i	−1.00544	+	0.295224i	−0.262755	+	0.964863i	$0.584631\pi$
$168$	−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	−0.739896	−	0.672721i	$-0.765126\pi$
$173$	−3.42734	+	2.69529i	−0.260576	+	0.204919i	0.479321	+	0.877640i	$0.340883\pi$
$174$	−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	0.996527	−	0.0832653i	$-0.0265349\pi$
$179$	0.541007	+	2.80701i	0.0404367	+	0.209806i	−0.956091	+	0.293071i	$0.905323\pi$
$180$	6.81899	+	14.5971i	0.508258	+	1.08800i
$181$	−13.6897	+	6.25185i	−1.01754	+	0.464697i	−0.853132	−	0.521695i	$-0.825300\pi$
$181$	−13.6897	+	6.25185i	−1.01754	+	0.464697i	−0.164412	+	0.986392i	$0.552573\pi$
$182$	−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	−0.268154	−	0.963376i	$-0.586414\pi$
$191$	−8.66073	−	0.412561i	−0.626668	−	0.0298519i	−0.358514	+	0.933524i	$0.616717\pi$
$192$	−33.1959	−	37.9781i	−2.39571	−	2.74083i
$193$	−3.64373	−	10.5279i	−0.262282	−	0.757813i	−0.996852	−	0.0792811i	$-0.974738\pi$
$193$	−3.64373	−	10.5279i	−0.262282	−	0.757813i	0.734571	−	0.678532i	$-0.237384\pi$
$194$	−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	0.978835	+	0.204650i	$0.0656055\pi$
$197$	10.6442	+	16.5627i	0.758368	+	1.18004i	−0.220467	+	0.975394i	$0.570758\pi$
$198$	0.887874	−	0.00765546i	0.0630985	−	0.000544050i
$199$	2.93639	−	2.09100i	0.208156	−	0.148227i	−0.471225	−	0.882013i	$-0.656188\pi$
$199$	2.93639	−	2.09100i	0.208156	−	0.148227i	0.679380	+	0.733786i	$0.262249\pi$
$200$	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	0.192146	−	0.981366i	$-0.438455\pi$
$211$	−2.56785	−	0.753988i	−0.176778	−	0.0519067i	−0.368924	+	0.929460i	$0.620274\pi$
$212$	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	−0.840798	−	0.541349i	$-0.817914\pi$
$223$	0.0135969	−	0.0211572i	0.000910516	−	0.00141679i	0.841708	+	0.539932i	$0.181550\pi$
$224$	−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	0.962088	−	0.272741i	$-0.0879302\pi$
$227$	27.9510	+	2.66900i	1.85517	+	0.177147i	0.893085	+	0.449888i	$0.148536\pi$
$228$	17.4521	−	27.4152i	1.15580	−	1.81561i
$229$	−9.98894	+	5.76712i	−0.660088	+	0.381102i	−0.792310	−	0.610118i	$-0.791122\pi$
$229$	−9.98894	+	5.76712i	−0.660088	+	0.381102i	0.132223	+	0.991220i	$0.457789\pi$
$230$	−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	0.461611	−	0.887083i	$-0.347272\pi$
$233$	−3.44524	−	2.45334i	−0.225705	−	0.160724i	−0.687316	+	0.726359i	$0.741211\pi$
$234$	−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	0.957119	−	0.289696i	$-0.0935542\pi$
$239$	12.4695	+	10.8049i	0.806584	+	0.698909i	−0.150535	+	0.988605i	$0.548100\pi$
$240$	23.4603	+	9.27492i	1.51435	+	0.598694i
$241$	−7.70633	+	19.2495i	−0.496408	+	1.23997i	0.442800	+	0.896620i	$0.353985\pi$
$241$	−7.70633	+	19.2495i	−0.496408	+	1.23997i	−0.939208	+	0.343347i	$0.888439\pi$
$242$	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	0.521485	+	0.853260i	$0.325378\pi$
$251$	−3.47385	+	24.1612i	−0.219267	+	1.52504i	−0.740753	+	0.671778i	$0.765531\pi$
$252$	−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	−0.809781	−	0.586732i	$-0.800414\pi$
$257$	−5.75321	−	23.7150i	−0.358875	−	1.47930i	0.450906	−	0.892571i	$-0.351101\pi$
$258$	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	0.227297	−	0.973825i	$-0.427011\pi$
$263$	8.85679	−	0.421901i	0.546133	−	0.0260155i	0.318836	+	0.947810i	$0.396708\pi$
$264$	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	−0.940153	−	0.340752i	$-0.889318\pi$
$269$	−19.8115	+	10.2135i	−1.20793	+	0.622730i	−0.267774	+	0.963482i	$0.586288\pi$
$270$	13.9558	−	0.845820i	0.849325	−	0.0514750i
$271$	10.2074	+	3.53282i	0.620056	+	0.214603i	0.618994	−	0.785396i	$-0.287541\pi$
$271$	10.2074	+	3.53282i	0.620056	+	0.214603i	0.00106214	+	0.999999i	$0.499662\pi$
$272$	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	−0.915985	−	0.401213i	$-0.868589\pi$
$277$	−1.83962	+	3.18631i	−0.110532	+	0.191447i	0.805453	+	0.592660i	$0.201922\pi$
$278$	−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	−0.582825	−	0.812598i	$-0.698053\pi$
$281$	2.32265	−	2.01259i	0.138558	−	0.120061i	0.721382	+	0.692537i	$0.243507\pi$
$282$	15.0705	−	19.3346i	0.897434	−	1.15136i
$283$	−13.6525	−	26.4822i	−0.811560	−	1.57421i	−0.818693	−	0.574232i	$-0.805301\pi$
$283$	−13.6525	−	26.4822i	−0.811560	−	1.57421i	0.00713314	−	0.999975i	$-0.497729\pi$
$284$	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	−0.343888	−	0.939011i	$-0.611744\pi$
$293$	−2.14850	+	0.630857i	−0.125517	+	0.0368551i	0.218371	+	0.975866i	$0.429926\pi$
$294$	−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	0.863375	−	0.504562i	$-0.168346\pi$
$307$	18.3527	+	8.38140i	1.04744	+	0.478351i	0.184068	+	0.982913i	$0.441073\pi$
$308$	−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	0.720256	−	0.693708i	$-0.244024\pi$
$311$	13.4524	+	5.38554i	0.762817	+	0.305386i	0.0425609	+	0.999094i	$0.486448\pi$
$312$	12.0642	+	81.4154i	0.683002	+	4.60924i
$313$	5.80760	−	30.1327i	0.328265	−	1.70320i	−0.324703	−	0.945816i	$-0.605264\pi$
$313$	5.80760	−	30.1327i	0.328265	−	1.70320i	0.652968	−	0.757385i	$-0.273523\pi$
$314$	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	0.339929	−	0.940451i	$-0.389597\pi$
$317$	0.459047	+	0.158878i	0.0257826	+	0.00892346i	−0.314146	+	0.949375i	$0.601718\pi$
$318$	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	0.855743	−	0.517401i	$-0.173101\pi$
$331$	26.5240	+	5.11207i	1.45789	+	0.280985i	0.602146	+	0.798386i	$0.294313\pi$
$332$	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	0.342346	+	0.939574i	$0.388779\pi$
$337$	−10.8663	+	23.7939i	−0.591926	+	1.29614i	−0.934271	+	0.356563i	$0.883949\pi$
$338$	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	−0.00630573	−	0.999980i	$-0.502007\pi$
$347$	18.0127	−	22.9050i	0.966973	−	1.22961i	0.973279	−	0.229626i	$-0.0737504\pi$
$348$	53.4354	+	30.5446i	2.86444	+	1.63736i
$349$	−9.07749	+	30.9151i	−0.485907	+	1.65485i	0.242842	+	0.970066i	$0.421920\pi$
$349$	−9.07749	+	30.9151i	−0.485907	+	1.65485i	−0.728749	+	0.684781i	$0.759898\pi$
$350$	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	0.706661	−	0.707552i	$-0.250201\pi$
$353$	−3.62807	−	5.09492i	−0.193103	−	0.271175i	−0.899764	+	0.436377i	$0.856261\pi$
$354$	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	−0.997031	−	0.0770012i	$-0.975465\pi$
$359$	−0.810962	+	4.20767i	−0.0428010	+	0.222072i	0.954230	+	0.299074i	$0.0966776\pi$
$360$	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	0.968647	−	0.248439i	$-0.0799177\pi$
$367$	23.7132	+	13.6908i	1.23782	+	0.714654i	0.269169	+	0.963093i	$0.413251\pi$
$368$	−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	0.772231	+	0.635342i	$0.219141\pi$
$373$	−4.39426	+	12.6964i	−0.227526	+	0.657393i	−0.999757	+	0.0220510i	$0.992980\pi$
$374$	−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	0.995065	−	0.0992228i	$-0.0316357\pi$
$379$	0.240484	+	1.67260i	0.0123528	+	0.0859158i	−0.982712	+	0.185139i	$0.940727\pi$
$380$	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	−0.505804	−	0.862648i	$-0.668804\pi$
$383$	−16.4237	+	1.56827i	−0.839211	+	0.0801349i	−0.333407	+	0.942783i	$0.608198\pi$
$384$	−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	−0.435248	−	0.900311i	$-0.643339\pi$
$389$	10.6958	−	13.6008i	0.542298	−	0.689588i	0.977546	+	0.210723i	$0.0675817\pi$
$390$	−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	−0.879068	−	0.476696i	$-0.841834\pi$
$397$	−7.19454	+	7.54542i	−0.361084	+	0.378694i	0.517984	+	0.855390i	$0.326683\pi$
$398$	−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	−0.855568	−	0.517690i	$-0.826792\pi$
$401$	1.24972	−	2.42413i	0.0624082	−	0.121055i	0.917976	+	0.396635i	$0.129822\pi$
$402$	−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	0.948634	+	0.316376i	$0.102466\pi$
$409$	3.75227	+	19.4686i	0.185538	+	0.962661i	−0.763096	+	0.646285i	$0.776322\pi$
$410$	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	0.609285	−	0.792951i	$-0.291456\pi$
$419$	−5.36925	−	6.19645i	−0.262305	−	0.302716i	−0.871590	+	0.490235i	$0.836911\pi$
$420$	−3.40841	−	24.3733i	−0.166313	−	1.18929i
$421$	−1.32785	−	0.853356i	−0.0647154	−	0.0415900i	0.507883	−	0.861426i	$-0.330428\pi$
$421$	−1.32785	−	0.853356i	−0.0647154	−	0.0415900i	−0.572598	+	0.819836i	$0.694065\pi$
$422$	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	0.720687	−	0.693260i	$-0.243826\pi$
$431$	21.6655	+	5.25599i	1.04359	+	0.253172i	0.322902	+	0.946432i	$0.395341\pi$
$432$	−2.66025	+	76.7067i	−0.127991	+	3.69055i
$433$	−5.23675	+	17.8347i	−0.251662	+	0.857083i	0.732644	+	0.680612i	$0.238286\pi$
$433$	−5.23675	+	17.8347i	−0.251662	+	0.857083i	−0.984306	+	0.176470i	$0.943532\pi$
$434$	−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	0.906810	−	0.421540i	$-0.138510\pi$
$439$	−0.845952	−	2.11309i	−0.0403751	−	0.100852i	−0.947185	+	0.320688i	$0.896086\pi$
$440$	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	−0.0302382	+	0.999543i	$0.509627\pi$
$443$	−21.6203	+	22.6747i	−1.02721	+	1.07731i	−0.996972	+	0.0777641i	$0.975222\pi$
$444$	−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	−0.983332	−	0.181817i	$-0.941802\pi$
$449$	−39.7434	+	5.71424i	−1.87561	+	0.269672i	−0.892277	+	0.451489i	$0.850893\pi$
$450$	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	−0.999990	−	0.00442952i	$-0.998590\pi$
$457$	−14.2960	+	20.0759i	−0.668740	+	0.939113i	0.331251	+	0.943543i	$0.392529\pi$
$458$	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	0.737049	−	0.675840i	$-0.236219\pi$
$463$	−5.51666	−	12.0798i	−0.256381	−	0.561396i	−0.993430	+	0.114443i	$0.963492\pi$
$464$	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	−0.896711	−	0.442616i	$-0.854051\pi$
$467$	0.821466	−	17.2447i	0.0380129	−	0.797990i	0.934724	−	0.355374i	$-0.115646\pi$
$468$	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	−0.770819	−	0.637054i	$-0.780153\pi$
$479$	−3.74610	+	3.57190i	−0.171164	+	0.163204i	0.599655	+	0.800258i	$0.295304\pi$
$480$	−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	−0.362083	+	0.932146i	$0.617934\pi$
$487$	−28.9180	+	27.5733i	−1.31040	+	1.24947i	−0.948319	+	0.317320i	$0.897217\pi$
$488$	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	0.464610	−	0.885515i	$-0.346194\pi$
$491$	2.20783	+	1.00828i	0.0996378	+	0.0455031i	−0.364973	+	0.931018i	$0.618922\pi$
$492$	−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	−0.976299	−	0.216427i	$-0.930560\pi$
$499$	0.360807	−	7.57427i	0.0161519	−	0.339071i	0.992451	−	0.122644i	$-0.0391373\pi$
$500$	−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	0.999828	+	0.0185416i	$0.00590231\pi$
$503$	8.05361	+	17.6349i	0.359093	+	0.786303i	−0.640735	+	0.767762i	$0.721370\pi$
$504$	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	−0.507102	−	0.861886i	$-0.669283\pi$
$509$	10.6767	−	14.9934i	0.473237	−	0.664569i	0.980340	+	0.197317i	$0.0632228\pi$
$510$	−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	0.507915	−	0.861407i	$-0.330416\pi$
$521$	−10.7790	−	15.1370i	−0.472238	−	0.663165i	−0.980153	+	0.198242i	$0.936477\pi$
$522$	41.6989	−	33.3782i	1.82511	−	1.46093i
$523$	22.0826	−	23.1596i	0.965605	−	1.01270i	−0.0343069	−	0.999411i	$-0.510922\pi$
$523$	22.0826	−	23.1596i	0.965605	−	1.01270i	0.999912	−	0.0132858i	$-0.00422913\pi$
$524$	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	−0.715724	−	0.698384i	$-0.753903\pi$
$541$	−4.78596	+	3.76372i	−0.205764	+	0.161815i	0.509959	+	0.860199i	$0.329661\pi$
$542$	−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	0.854016	−	0.520246i	$-0.174160\pi$
$547$	5.08751	+	5.87130i	0.217526	+	0.251039i	−0.636490	+	0.771285i	$0.719614\pi$
$548$	−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	−0.983318	−	0.181897i	$-0.941776\pi$
$557$	−3.25789	−	16.9035i	−0.138041	−	0.716226i	0.845276	−	0.534329i	$-0.179436\pi$
$558$	−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	0.220622	−	0.975359i	$-0.429191\pi$
$563$	−6.94701	−	2.78116i	−0.292782	−	0.117212i	−0.513404	+	0.858147i	$0.671616\pi$
$564$	−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	−0.0394669	−	0.999221i	$-0.512566\pi$
$569$	22.9115	−	24.0289i	0.960500	−	1.00734i	0.999967	−	0.00812261i	$-0.00258554\pi$
$570$	15.3854	−	4.58970i	0.644424	−	0.192242i
$571$	−31.5988	+	30.1294i	−1.32237	+	1.26088i	−0.380547	+	0.924761i	$0.624264\pi$
$571$	−31.5988	+	30.1294i	−1.32237	+	1.26088i	−0.941821	+	0.336114i	$0.890887\pi$
$572$	−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	−0.858518	−	0.512783i	$-0.828615\pi$
$577$	−3.79016	+	4.81958i	−0.157786	+	0.200642i	0.700732	+	0.713425i	$0.252857\pi$
$578$	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	0.905282	+	0.424811i	$0.139659\pi$
$587$	3.78814	+	26.3471i	0.156353	+	1.08746i	−0.748929	+	0.662651i	$0.769431\pi$
$588$	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	0.610880	+	0.791723i	$0.290816\pi$
$593$	−8.73527	+	25.2389i	−0.358715	+	1.03644i	−0.969595	+	0.244715i	$0.921306\pi$
$594$	−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	0.875296	−	0.483587i	$-0.160666\pi$
$599$	21.8838	+	12.6346i	0.894146	+	0.516236i	0.0188499	+	0.999822i	$0.494000\pi$
$600$	−30.3154	−	58.1863i	−1.23762	−	2.37545i
$601$	−8.62416	+	3.93852i	−0.351787	+	0.160656i	−0.583468	−	0.812136i	$-0.698305\pi$
$601$	−8.62416	+	3.93852i	−0.351787	+	0.160656i	0.231681	+	0.972792i	$0.425577\pi$
$602$	−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	0.467990	+	0.883734i	$0.344978\pi$
$607$	−7.26624	+	37.7008i	−0.294928	+	1.53023i	−0.762918	+	0.646496i	$0.776234\pi$
$608$	−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	0.970882	−	0.239560i	$-0.0770031\pi$
$613$	10.5709	+	14.8447i	0.426953	+	0.599572i	−0.543928	+	0.839132i	$0.683064\pi$
$614$	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	−0.927969	−	0.372658i	$-0.878446\pi$
$617$	1.34537	−	4.58192i	0.0541626	−	0.184461i	0.982131	+	0.188197i	$0.0602645\pi$
$618$	−13.0541	+	22.8371i	−0.525111	+	0.918642i
$619$	17.5006	−	22.2538i	0.703407	−	0.894455i	−0.294723	−	0.955583i	$-0.595227\pi$
$619$	17.5006	−	22.2538i	0.703407	−	0.894455i	0.998130	+	0.0611278i	$0.0194697\pi$
$620$	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	−0.768266	−	0.640131i	$-0.778880\pi$
$631$	−12.6888	+	8.15457i	−0.505131	+	0.324628i	0.263135	+	0.964759i	$0.415244\pi$
$632$	−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	−0.249169	−	0.968460i	$-0.580157\pi$
$641$	4.52633	−	47.4019i	0.178779	−	1.87226i	0.427948	−	0.903803i	$-0.359237\pi$
$642$	−47.8461	+	24.9281i	−1.88834	+	0.983832i
$643$			5.68368i			0.224142i	0.993700	+	0.112071i	$0.0357485\pi$
$643$			5.68368i			0.224142i	−0.993700	+	0.112071i	$0.964252\pi$
$644$	−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	0.326905	−	0.945057i	$-0.393994\pi$
$647$	11.9308	+	1.13926i	0.469050	+	0.0447888i	0.142144	+	0.989846i	$0.454600\pi$
$648$	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	−0.938554	−	0.345131i	$-0.887834\pi$
$653$	1.55985	−	8.09329i	0.0610418	−	0.316715i	0.999596	+	0.0284165i	$0.00904646\pi$
$654$	−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	0.499629	−	0.866239i	$-0.333470\pi$
$659$	4.41944	+	2.01829i	0.172157	+	0.0786214i	−0.327472	+	0.944861i	$0.606197\pi$
$660$	1.00753	−	0.0523486i	0.0392179	−	0.00203767i
$661$	10.1917	+	2.47248i	0.396411	+	0.0961684i	0.429009	−	0.903300i	$-0.358863\pi$
$661$	10.1917	+	2.47248i	0.396411	+	0.0961684i	−0.0325977	+	0.999469i	$0.510378\pi$
$662$	−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	0.239452	−	0.970908i	$-0.423032\pi$
$673$	25.0551	−	7.35685i	0.965804	−	0.283586i	0.726352	+	0.687323i	$0.241214\pi$
$674$	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	−0.254619	−	0.967042i	$-0.581950\pi$
$677$	−30.9639	−	15.9630i	−1.19004	−	0.613509i	−0.935422	+	0.353533i	$0.884980\pi$
$678$	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	0.906461	−	0.422289i	$-0.138773\pi$
$683$	0.958491	+	1.85921i	0.0366756	+	0.0711408i	−0.869786	+	0.493430i	$0.835743\pi$
$684$	−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	0.191484	−	0.981496i	$-0.438670\pi$
$691$	29.8941	−	17.2594i	1.13723	−	0.656578i	0.945742	+	0.324918i	$0.105337\pi$
$692$	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	0.193180	−	0.981163i	$-0.438120\pi$
$701$	17.3410	−	2.49326i	0.654961	−	0.0941692i	0.461781	+	0.886994i	$0.347211\pi$
$702$	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	0.969719	−	0.244222i	$-0.0785324\pi$
$709$	−0.109447	−	0.451147i	−0.00411037	−	0.0169432i	−0.973830	+	0.227278i	$0.927017\pi$
$710$	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	0.853449	−	0.521177i	$-0.174507\pi$
$719$	10.0143	+	9.54862i	0.373471	+	0.356103i	−0.479978	+	0.877281i	$0.659355\pi$
$720$	−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	−0.0364811	−	0.999334i	$-0.511615\pi$
$727$	−27.7944	−	24.0839i	−1.03084	−	0.893224i	−0.994354	+	0.106110i	$0.966160\pi$
$728$	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	0.145338	−	0.989382i	$-0.453573\pi$
$733$	−20.0914	−	14.3070i	−0.742094	−	0.528443i	−0.887432	+	0.460939i	$0.847513\pi$
$734$	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	0.650753	−	0.759290i	$-0.274453\pi$
$739$	31.1548	+	2.97493i	1.14605	+	0.109434i	0.495296	+	0.868724i	$0.335060\pi$
$740$	−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	−0.959098	−	0.283074i	$-0.908646\pi$
$743$	−8.26413	+	12.8592i	−0.303181	+	0.471760i	0.655917	+	0.754833i	$0.272282\pi$
$744$	−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	−0.114381	−	0.993437i	$-0.536488\pi$
$751$	−1.06016	+	0.101233i	−0.0386857	+	0.00369403i	0.0756953	+	0.997131i	$0.475882\pi$
$752$	−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	−0.979092	−	0.203420i	$-0.934794\pi$
$757$	0.485617	−	3.37754i	0.0176500	−	0.122759i	0.996742	+	0.0806616i	$0.0257033\pi$
$758$	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	−0.143269	−	0.989684i	$-0.545761\pi$
$761$	12.0277	−	4.81515i	0.436003	−	0.174549i	0.579271	+	0.815135i	$0.303337\pi$
$762$	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	0.999070	+	0.0431242i	$0.0137311\pi$
$769$	17.2838	+	26.8941i	0.623268	+	0.969824i	−0.375801	+	0.926700i	$0.622633\pi$
$770$	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	0.852709	−	0.522386i	$-0.174958\pi$
$773$	−3.90583	−	11.2852i	−0.140483	−	0.405899i	−0.993192	+	0.116487i	$0.962837\pi$
$774$	−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	0.939779	+	0.341782i	$0.111031\pi$
$787$	5.45209	+	28.2881i	0.194346	+	1.00836i	−0.745433	+	0.666581i	$0.767757\pi$
$788$	−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	0.406705	+	0.913560i	$0.366678\pi$
$797$	−15.5286	+	34.0030i	−0.550053	+	1.20445i	−0.956757	+	0.290887i	$0.906049\pi$
$798$	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	0.986512	−	0.163690i	$-0.0523396\pi$
$809$	22.0736	+	23.1502i	0.776068	+	0.813916i	−0.210444	+	0.977606i	$0.567491\pi$
$810$	−24.1657	+	1.56920i	−0.849095	+	0.0551359i
$811$	−4.07889	−	13.8914i	−0.143229	−	0.487794i	0.856362	−	0.516376i	$-0.172719\pi$
$811$	−4.07889	−	13.8914i	−0.143229	−	0.487794i	−0.999591	+	0.0285815i	$0.990901\pi$
$812$	−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	−0.216363	−	0.976313i	$-0.569420\pi$
$821$	−15.0300	−	0.715968i	−0.524551	−	0.0249875i	−0.308188	+	0.951325i	$0.599723\pi$
$822$	−4.90177	+	35.1681i	−0.170969	+	1.22663i
$823$	30.0731	−	5.79612i	1.04828	−	0.202040i	0.364107	−	0.931357i	$-0.381374\pi$
$823$	30.0731	−	5.79612i	1.04828	−	0.202040i	0.684176	+	0.729317i	$0.260162\pi$
$824$	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	$-0.705764\pi$
$827$		−	45.9111i		−	1.59648i	0.602337	−	0.798242i	$-0.294236\pi$
$828$	11.0657	+	77.5758i	0.384558	+	2.69595i
$829$	11.4212	+	6.59402i	0.396674	+	0.229020i	0.685048	−	0.728498i	$-0.259781\pi$
$829$	11.4212	+	6.59402i	0.396674	+	0.229020i	−0.288374	+	0.957518i	$0.593115\pi$
$830$	−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	0.986876	+	0.161483i	$0.0516277\pi$
$839$	2.47569	+	17.2188i	0.0854704	+	0.594460i	−0.901405	+	0.432977i	$0.857463\pi$
$840$	−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	0.225524	−	0.974238i	$-0.427591\pi$
$853$	4.89025	+	0.703111i	0.167439	+	0.0240741i	−0.0580855	+	0.998312i	$0.518500\pi$
$854$	−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	−0.998017	−	0.0629406i	$-0.979952\pi$
$857$	−2.40353	+	9.90749i	−0.0821031	+	0.338434i	0.915914	+	0.401374i	$0.131467\pi$
$858$	1.40970	+	2.17289i	0.0481265	+	0.0741812i
$859$	2.60247	+	27.2543i	0.0887951	+	0.929905i	0.924616	+	0.380902i	$0.124386\pi$
$859$	2.60247	+	27.2543i	0.0887951	+	0.929905i	−0.835820	+	0.549003i	$0.815008\pi$
$860$	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	0.763588	−	0.645703i	$-0.223436\pi$
$863$	−1.29071	−	1.64128i	−0.0439364	−	0.0558697i	−0.807525	+	0.589834i	$0.799193\pi$
$864$	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	−0.992710	−	0.120530i	$-0.961540\pi$
$877$	−16.4100	+	23.0446i	−0.554125	+	0.778159i	0.438585	+	0.898690i	$0.355480\pi$
$878$	−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	0.741360	−	0.671107i	$-0.234181\pi$
$881$	13.0264	+	8.37159i	0.438872	+	0.282046i	−0.302488	+	0.953153i	$0.597817\pi$
$882$	11.2790	−	56.1843i	0.379784	−	1.89182i
$883$	−26.2088	+	30.2466i	−0.881998	+	1.01788i	0.117694	+	0.993050i	$0.462450\pi$
$883$	−26.2088	+	30.2466i	−0.881998	+	1.01788i	−0.999692	+	0.0248298i	$0.992096\pi$
$884$	−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	−0.136870	−	0.990589i	$-0.543704\pi$
$887$	−30.4727	−	15.7098i	−1.02317	−	0.527482i	−0.886302	+	0.463107i	$0.846734\pi$
$888$	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	−0.876191	−	0.481964i	$-0.839924\pi$
$907$	−1.49923	−	31.4726i	−0.0497810	−	1.04503i	0.826410	−	0.563068i	$-0.190379\pi$
$908$	−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	0.0837551	−	0.996486i	$-0.473309\pi$
$911$	−26.8829	−	23.2941i	−0.890669	−	0.771769i	−0.974424	+	0.224717i	$0.927854\pi$
$912$	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	−0.999662	−	0.0260153i	$-0.991718\pi$
$919$	−15.8354	−	27.4277i	−0.522361	−	0.904755i	0.477301	−	0.878740i	$-0.341615\pi$
$920$	−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	0.108423	−	0.994105i	$-0.465420\pi$
$929$	−4.88868	−	0.942216i	−0.160392	−	0.0309131i	−0.268815	+	0.963192i	$0.586632\pi$
$930$	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	0.921456	−	0.388484i	$-0.127001\pi$
$937$	−1.95149	−	6.64616i	−0.0637523	−	0.217121i	−0.985208	+	0.171363i	$0.945183\pi$
$938$	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	0.909937	−	0.414747i	$-0.136130\pi$
$941$	22.1297	+	17.4030i	0.721406	+	0.567320i	−0.188530	+	0.982067i	$0.560372\pi$
$942$	−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	−0.00392705	−	0.999992i	$-0.501250\pi$
$947$	13.8728	−	3.36550i	0.450805	−	0.109364i	0.454732	+	0.890628i	$0.349735\pi$
$948$	−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	0.968421	+	0.249322i	$0.0802079\pi$
$953$	24.4779	+	38.0883i	0.792916	+	1.23380i	−0.175505	+	0.984479i	$0.556156\pi$
$954$	−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	−0.934728	−	0.355364i	$-0.884357\pi$
$971$	0.613532	−	1.77268i	0.0196892	−	0.0568881i	0.954417	+	0.298476i	$0.0964782\pi$
$972$	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	−0.593433	−	0.804884i	$-0.702228\pi$
$977$	12.2367	−	30.5659i	0.391488	−	0.977890i	0.984921	−	0.173006i	$-0.0553481\pi$
$978$	−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	0.570925	+	0.821002i	$0.306585\pi$
$983$	−9.80523	+	40.4177i	−0.312738	+	1.28912i	−0.883664	+	0.468122i	$0.844931\pi$
$984$	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	0.149787	−	0.988718i	$-0.452141\pi$
$991$	−24.4206	−	19.2046i	−0.775747	−	0.610054i	−0.925534	+	0.378664i	$0.876384\pi$
$992$	−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	−0.0955848	−	0.995421i	$-0.530472\pi$
$997$	25.6968	−	18.2986i	0.813826	−	0.579523i	0.909411	+	0.415898i	$0.136533\pi$
$998$	−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.353.1	yes	1200
3.2	odd	2	inner	483.2.bb.a.353.60	yes	1200
7.5	odd	6	inner	483.2.bb.a.215.1	yes	1200
21.5	even	6	inner	483.2.bb.a.215.60	yes	1200
23.3	even	11	inner	483.2.bb.a.164.60	yes	1200
69.26	odd	22	inner	483.2.bb.a.164.1	yes	1200
161.26	odd	66	inner	483.2.bb.a.26.60	yes	1200
483.26	even	66	inner	483.2.bb.a.26.1	✓	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.1	✓	1200	483.26	even	66	inner
483.2.bb.a.26.60	yes	1200	161.26	odd	66	inner
483.2.bb.a.164.1	yes	1200	69.26	odd	22	inner
483.2.bb.a.164.60	yes	1200	23.3	even	11	inner
483.2.bb.a.215.1	yes	1200	7.5	odd	6	inner
483.2.bb.a.215.60	yes	1200	21.5	even	6	inner
483.2.bb.a.353.1	yes	1200	1.1	even	1	trivial
483.2.bb.a.353.60	yes	1200	3.2	odd	2	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

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