LMFDB - Embedded newform 483.2.bc.a.11.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(11,483)]

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, 44, 27]))

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

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

chi := DirichletCharacter("483.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bc (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			11.11
Character	$\chi$	$=$	483.11
Dual form			483.2.bc.a.44.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.877897 + 1.70288i) q^{2} +(-0.523928 - 1.65091i) q^{3} +(-0.968993 - 1.36076i) q^{4} +(-0.190109 - 0.181269i) q^{5} +(3.27126 + 0.557140i) q^{6} +(2.56678 - 0.641583i) q^{7} +(-0.624824 + 0.0898362i) q^{8} +(-2.45100 + 1.72991i) q^{9} +O(q^{10})$	\(q+(-0.877897 + 1.70288i) q^{2} +(-0.523928 - 1.65091i) q^{3} +(-0.968993 - 1.36076i) q^{4} +(-0.190109 - 0.181269i) q^{5} +(3.27126 + 0.557140i) q^{6} +(2.56678 - 0.641583i) q^{7} +(-0.624824 + 0.0898362i) q^{8} +(-2.45100 + 1.72991i) q^{9} +(0.475576 - 0.164598i) q^{10} +(-1.00807 + 0.519695i) q^{11} +(-1.73881 + 2.31266i) q^{12} +(0.845079 - 0.975273i) q^{13} +(-1.16083 + 4.93417i) q^{14} +(-0.199655 + 0.408825i) q^{15} +(1.48829 - 4.30014i) q^{16} +(4.39522 + 0.419693i) q^{17} +(-0.794117 - 5.69245i) q^{18} +(-0.304790 - 3.19191i) q^{19} +(-0.0624489 + 0.434341i) q^{20} +(-2.40400 - 3.90138i) q^{21} -2.17286i q^{22} +(-0.0483562 - 4.79559i) q^{23} +(0.475674 + 0.984460i) q^{24} +(-0.234626 - 4.92541i) q^{25} +(0.918883 + 2.29526i) q^{26} +(4.14008 + 3.14002i) q^{27} +(-3.36023 - 2.87109i) q^{28} +(2.97037 - 1.35652i) q^{29} +(-0.520905 - 0.698895i) q^{30} +(1.70724 + 0.683477i) q^{31} +(5.14485 + 5.39576i) q^{32} +(1.38612 + 1.39195i) q^{33} +(-4.57324 + 7.11610i) q^{34} +(-0.604268 - 0.343307i) q^{35} +(4.72900 + 1.65895i) q^{36} +(10.7029 - 2.59648i) q^{37} +(5.70302 + 2.28314i) q^{38} +(-2.05285 - 0.884175i) q^{39} +(0.135069 + 0.0961825i) q^{40} +(-0.366097 - 1.24681i) q^{41} +(8.75406 - 0.668726i) q^{42} +(-2.40341 - 0.345558i) q^{43} +(1.68399 + 0.868158i) q^{44} +(0.779537 + 0.115417i) q^{45} +(8.20878 + 4.12769i) q^{46} +(-3.25891 + 1.88153i) q^{47} +(-7.87890 - 0.204072i) q^{48} +(6.17674 - 3.29361i) q^{49} +(8.59338 + 3.92447i) q^{50} +(-1.60991 - 7.47600i) q^{51} +(-2.14599 - 0.204917i) q^{52} +(-4.07807 + 0.785983i) q^{53} +(-8.98166 + 4.29345i) q^{54} +(0.285848 + 0.0839324i) q^{55} +(-1.54615 + 0.631466i) q^{56} +(-5.10986 + 2.17551i) q^{57} +(-0.297680 + 6.24908i) q^{58} +(10.7775 - 3.73012i) q^{59} +(0.749777 - 0.124466i) q^{60} +(3.20866 + 4.08014i) q^{61} +(-2.66267 + 2.30721i) q^{62} +(-5.18130 + 6.01283i) q^{63} +(-4.97282 + 1.46015i) q^{64} +(-0.337444 + 0.0322220i) q^{65} +(-3.58719 + 1.13842i) q^{66} +(-11.5560 + 0.550479i) q^{67} +(-3.68784 - 6.38752i) q^{68} +(-7.89174 + 2.59237i) q^{69} +(1.11510 - 0.727610i) q^{70} +(-4.76886 - 7.42050i) q^{71} +(1.37603 - 1.30108i) q^{72} +(3.49055 + 4.90179i) q^{73} +(-4.97450 + 20.5052i) q^{74} +(-8.00848 + 2.96791i) q^{75} +(-4.04808 + 3.50768i) q^{76} +(-2.25406 + 1.98070i) q^{77} +(3.30784 - 2.71954i) q^{78} +(-0.884552 + 4.58949i) q^{79} +(-1.06242 + 0.547716i) q^{80} +(3.01479 - 8.48004i) q^{81} +(2.44457 + 0.471153i) q^{82} +(2.86112 + 0.840100i) q^{83} +(-2.97938 + 7.05168i) q^{84} +(-0.759495 - 0.876504i) q^{85} +(2.69839 - 3.78936i) q^{86} +(-3.79575 - 4.19309i) q^{87} +(0.583178 - 0.415279i) q^{88} +(-2.18799 + 0.875940i) q^{89} +(-0.880895 + 1.22614i) q^{90} +(1.54342 - 3.04550i) q^{91} +(-6.47879 + 4.71269i) q^{92} +(0.233886 - 3.17660i) q^{93} +(-0.343042 - 7.20134i) q^{94} +(-0.520650 + 0.662060i) q^{95} +(6.21238 - 11.3207i) q^{96} +(2.98589 + 10.1690i) q^{97} +(0.186081 + 13.4097i) q^{98} +(1.57175 - 3.01764i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28} - 55 q^{30} - 18 q^{31} - 11 q^{33} - 88 q^{34} - 108 q^{36} - 66 q^{37} + q^{39} - 22 q^{40} - 22 q^{42} - 2 q^{46} - 228 q^{48} - 128 q^{49} - 11 q^{51} - 166 q^{52} + 35 q^{54} - 160 q^{55} - 44 q^{57} - 126 q^{58} - 11 q^{60} + 66 q^{61} + 33 q^{63} + 40 q^{64} + 22 q^{66} - 22 q^{67} - 24 q^{69} + 68 q^{70} - 149 q^{72} - 42 q^{73} + 123 q^{75} - 88 q^{76} - 108 q^{78} - 66 q^{79} - 81 q^{81} - 14 q^{82} + 44 q^{84} - 200 q^{85} + 75 q^{87} + 66 q^{88} + 16 q^{93} - 146 q^{94} + 5 q^{96} - 88 q^{97} - 308 q^{99}+O(q^{100}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{22}\right)$

Coefficient data

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

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

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

$2$	−0.877897	+	1.70288i	−0.620767	+	1.20412i	0.343491	+	0.939156i	$0.388390\pi$
$2$	−0.877897	+	1.70288i	−0.620767	+	1.20412i	−0.964258	+	0.264964i	$0.914640\pi$
$3$	−0.523928	−	1.65091i	−0.302490	−	0.953153i
$3$	−0.523928	−	1.65091i	−0.302490	−	0.953153i
$4$	−0.968993	−	1.36076i	−0.484496	−	0.680380i
$5$	−0.190109	−	0.181269i	−0.0850194	−	0.0810659i	0.646378	−	0.763017i	$-0.276283\pi$
$5$	−0.190109	−	0.181269i	−0.0850194	−	0.0810659i	−0.731397	+	0.681952i	$0.761131\pi$
$6$	3.27126	+	0.557140i	1.33549	+	0.227451i
$7$	2.56678	−	0.641583i	0.970153	−	0.242495i
$7$	2.56678	−	0.641583i	0.970153	−	0.242495i
$8$	−0.624824	+	0.0898362i	−0.220909	+	0.0317619i
$9$	−2.45100	+	1.72991i	−0.817000	+	0.576638i
$10$	0.475576	−	0.164598i	0.150390	−	0.0520506i
$11$	−1.00807	+	0.519695i	−0.303944	+	0.156694i	−0.603451	−	0.797400i	$-0.706208\pi$
$11$	−1.00807	+	0.519695i	−0.303944	+	0.156694i	0.299507	+	0.954094i	$0.403178\pi$
$12$	−1.73881	+	2.31266i	−0.501951	+	0.667607i
$13$	0.845079	−	0.975273i	0.234383	−	0.270492i	−0.626358	−	0.779535i	$-0.715455\pi$
$13$	0.845079	−	0.975273i	0.234383	−	0.270492i	0.860741	+	0.509043i	$0.170001\pi$
$14$	−1.16083	+	4.93417i	−0.310245	+	1.31871i
$15$	−0.199655	+	0.408825i	−0.0515506	+	0.105558i
$16$	1.48829	−	4.30014i	0.372073	−	1.07504i
$17$	4.39522	+	0.419693i	1.06600	+	0.101790i	0.613282	−	0.789864i	$-0.289849\pi$
$17$	4.39522	+	0.419693i	1.06600	+	0.101790i	0.452716	+	0.891655i	$0.350455\pi$
$18$	−0.794117	−	5.69245i	−0.187175	−	1.34172i
$19$	−0.304790	−	3.19191i	−0.0699237	−	0.732274i	−0.960655	−	0.277744i	$-0.910413\pi$
$19$	−0.304790	−	3.19191i	−0.0699237	−	0.732274i	0.890731	−	0.454530i	$-0.150193\pi$
$20$	−0.0624489	+	0.434341i	−0.0139640	+	0.0971217i
$21$	−2.40400	−	3.90138i	−0.524597	−	0.851351i
$22$		−	2.17286i		−	0.463255i
$23$	−0.0483562	−	4.79559i	−0.0100830	−	0.999949i
$23$	−0.0483562	−	4.79559i	−0.0100830	−	0.999949i
$24$	0.475674	+	0.984460i	0.0970966	+	0.200952i
$25$	−0.234626	−	4.92541i	−0.0469253	−	0.985083i
$26$	0.918883	+	2.29526i	0.180208	+	0.450137i
$27$	4.14008	+	3.14002i	0.796758	+	0.604298i
$28$	−3.36023	−	2.87109i	−0.635025	−	0.542584i
$29$	2.97037	−	1.35652i	0.551584	−	0.251900i	−0.120069	−	0.992765i	$-0.538312\pi$
$29$	2.97037	−	1.35652i	0.551584	−	0.251900i	0.671653	+	0.740866i	$0.265584\pi$
$30$	−0.520905	−	0.698895i	−0.0951037	−	0.127600i
$31$	1.70724	+	0.683477i	0.306630	+	0.122756i	0.519874	−	0.854243i	$-0.325979\pi$
$31$	1.70724	+	0.683477i	0.306630	+	0.122756i	−0.213244	+	0.976999i	$0.568403\pi$
$32$	5.14485	+	5.39576i	0.909489	+	0.953845i
$33$	1.38612	+	1.39195i	0.241293	+	0.242307i
$34$	−4.57324	+	7.11610i	−0.784304	+	1.22040i
$35$	−0.604268	−	0.343307i	−0.102140	−	0.0580294i
$36$	4.72900	+	1.65895i	0.788167	+	0.276491i
$37$	10.7029	−	2.59648i	1.75954	−	0.426859i	0.779619	−	0.626254i	$-0.215413\pi$
$37$	10.7029	−	2.59648i	1.75954	−	0.426859i	0.979919	+	0.199395i	$0.0638976\pi$
$38$	5.70302	+	2.28314i	0.925152	+	0.370375i
$39$	−2.05285	−	0.884175i	−0.328719	−	0.141581i
$40$	0.135069	+	0.0961825i	0.0213563	+	0.0152078i
$41$	−0.366097	−	1.24681i	−0.0571748	−	0.194720i	0.925953	−	0.377638i	$-0.123264\pi$
$41$	−0.366097	−	1.24681i	−0.0571748	−	0.194720i	−0.983128	+	0.182919i	$0.941445\pi$
$42$	8.75406	−	0.668726i	1.35078	−	0.103187i
$43$	−2.40341	−	0.345558i	−0.366516	−	0.0526971i	−0.0434038	−	0.999058i	$-0.513820\pi$
$43$	−2.40341	−	0.345558i	−0.366516	−	0.0526971i	−0.323113	+	0.946361i	$0.604729\pi$
$44$	1.68399	+	0.868158i	0.253871	+	0.130880i
$45$	0.779537	+	0.115417i	0.116207	+	0.0172053i
$46$	8.20878	+	4.12769i	1.21032	+	0.608594i
$47$	−3.25891	+	1.88153i	−0.475361	+	0.274450i	−0.718481	−	0.695546i	$-0.755162\pi$
$47$	−3.25891	+	1.88153i	−0.475361	+	0.274450i	0.243120	+	0.969996i	$0.421829\pi$
$48$	−7.87890	−	0.204072i	−1.13722	−	0.0294553i
$49$	6.17674	−	3.29361i	0.882392	−	0.470515i
$50$	8.59338	+	3.92447i	1.21529	+	0.555003i
$51$	−1.60991	−	7.47600i	−0.225432	−	1.04685i
$52$	−2.14599	−	0.204917i	−0.297595	−	0.0284169i
$53$	−4.07807	+	0.785983i	−0.560166	+	0.107963i	−0.461472	−	0.887155i	$-0.652678\pi$
$53$	−4.07807	+	0.785983i	−0.560166	+	0.107963i	−0.0986936	+	0.995118i	$0.531466\pi$
$54$	−8.98166	+	4.29345i	−1.22225	+	0.584264i
$55$	0.285848	+	0.0839324i	0.0385437	+	0.0113174i
$56$	−1.54615	+	0.631466i	−0.206613	+	0.0843832i
$57$	−5.10986	+	2.17551i	−0.676818	+	0.288153i
$58$	−0.297680	+	6.24908i	−0.0390873	+	0.820544i
$59$	10.7775	−	3.73012i	1.40311	−	0.485621i	0.482427	−	0.875936i	$-0.339755\pi$
$59$	10.7775	−	3.73012i	1.40311	−	0.485621i	0.920681	+	0.390315i	$0.127634\pi$
$60$	0.749777	−	0.124466i	0.0967957	−	0.0160685i
$61$	3.20866	+	4.08014i	0.410826	+	0.522408i	0.946798	−	0.321828i	$-0.104297\pi$
$61$	3.20866	+	4.08014i	0.410826	+	0.522408i	−0.535972	+	0.844236i	$0.680055\pi$
$62$	−2.66267	+	2.30721i	−0.338159	+	0.293016i
$63$	−5.18130	+	6.01283i	−0.652782	+	0.757546i
$64$	−4.97282	+	1.46015i	−0.621602	+	0.182519i
$65$	−0.337444	+	0.0322220i	−0.0418548	+	0.00399665i
$66$	−3.58719	+	1.13842i	−0.441553	+	0.140130i
$67$	−11.5560	+	0.550479i	−1.41179	+	0.0672517i	−0.739558	−	0.673092i	$-0.764966\pi$
$67$	−11.5560	+	0.550479i	−1.41179	+	0.0672517i	−0.672228	+	0.740344i	$0.734663\pi$
$68$	−3.68784	−	6.38752i	−0.447216	−	0.774601i
$69$	−7.89174	+	2.59237i	−0.950054	+	0.312085i
$70$	1.11510	−	0.727610i	0.133280	−	0.0869660i
$71$	−4.76886	−	7.42050i	−0.565960	−	0.880651i	0.433833	−	0.900993i	$-0.357161\pi$
$71$	−4.76886	−	7.42050i	−0.565960	−	0.880651i	−0.999793	+	0.0203422i	$0.993524\pi$
$72$	1.37603	−	1.30108i	0.162167	−	0.153334i
$73$	3.49055	+	4.90179i	0.408538	+	0.573712i	0.966665	−	0.256044i	$-0.0824192\pi$
$73$	3.49055	+	4.90179i	0.408538	+	0.573712i	−0.558127	+	0.829756i	$0.688480\pi$
$74$	−4.97450	+	20.5052i	−0.578273	+	2.38368i
$75$	−8.00848	+	2.96791i	−0.924740	+	0.342705i
$76$	−4.04808	+	3.50768i	−0.464347	+	0.402359i
$77$	−2.25406	+	1.98070i	−0.256874	+	0.225722i
$78$	3.30784	−	2.71954i	0.374539	−	0.307928i
$79$	−0.884552	+	4.58949i	−0.0995198	+	0.516358i	0.897619	+	0.440771i	$0.145295\pi$
$79$	−0.884552	+	4.58949i	−0.0995198	+	0.516358i	−0.997139	+	0.0755865i	$0.975917\pi$
$80$	−1.06242	+	0.547716i	−0.118782	+	0.0612365i
$81$	3.01479	−	8.48004i	0.334977	−	0.942226i
$82$	2.44457	+	0.471153i	0.269958	+	0.0520301i
$83$	2.86112	+	0.840100i	0.314049	+	0.0922130i	0.434958	−	0.900451i	$-0.356763\pi$
$83$	2.86112	+	0.840100i	0.314049	+	0.0922130i	−0.120910	+	0.992663i	$0.538581\pi$
$84$	−2.97938	+	7.05168i	−0.325077	+	0.769402i
$85$	−0.759495	−	0.876504i	−0.0823788	−	0.0950702i
$86$	2.69839	−	3.78936i	0.290975	−	0.408617i
$87$	−3.79575	−	4.19309i	−0.406948	−	0.449546i
$88$	0.583178	−	0.415279i	0.0621670	−	0.0442689i
$89$	−2.18799	+	0.875940i	−0.231927	+	0.0928494i	−0.484715	−	0.874672i	$-0.661077\pi$
$89$	−2.18799	+	0.875940i	−0.231927	+	0.0928494i	0.252788	+	0.967522i	$0.418652\pi$
$90$	−0.880895	+	1.22614i	−0.0928545	+	0.129246i
$91$	1.54342	−	3.04550i	0.161794	−	0.319255i
$92$	−6.47879	+	4.71269i	−0.675460	+	0.491332i
$93$	0.233886	−	3.17660i	0.0242528	−	0.329398i
$94$	−0.343042	−	7.20134i	−0.0353821	−	0.742761i
$95$	−0.520650	+	0.662060i	−0.0534176	+	0.0679259i
$96$	6.21238	−	11.3207i	0.634048	−	1.15541i
$97$	2.98589	+	10.1690i	0.303171	+	1.03251i	0.960356	+	0.278777i	$0.0899289\pi$
$97$	2.98589	+	10.1690i	0.303171	+	1.03251i	−0.657185	+	0.753730i	$0.728253\pi$
$98$	0.186081	+	13.4097i	0.0187970	+	1.35459i
$99$	1.57175	−	3.01764i	0.157966	−	0.303285i
$100$	−6.47496	+	5.09196i	−0.647496	+	0.509196i
$101$	−9.73203	−	10.2067i	−0.968373	−	1.01560i	−0.999870	−	0.0160967i	$-0.994876\pi$
$101$	−9.73203	−	10.2067i	−0.968373	−	1.01560i	0.0314973	−	0.999504i	$-0.489972\pi$
$102$	14.1441	+	3.82168i	1.40047	+	0.378403i
$103$	−18.4038	−	0.876681i	−1.81338	−	0.0863820i	−0.886726	−	0.462296i	$-0.847026\pi$
$103$	−18.4038	−	0.876681i	−1.81338	−	0.0863820i	−0.926655	+	0.375914i	$0.877329\pi$
$104$	−0.440411	+	0.685293i	−0.0431858	+	0.0671985i
$105$	−0.250175	+	1.17746i	−0.0244146	+	0.114908i
$106$	2.24169	−	7.63448i	0.217732	−	0.741526i
$107$	12.2738	−	9.65221i	1.18655	−	0.933114i	0.187757	−	0.982215i	$-0.439878\pi$
$107$	12.2738	−	9.65221i	1.18655	−	0.933114i	0.998794	+	0.0491014i	$0.0156358\pi$
$108$	0.261114	−	8.67631i	0.0251257	−	0.834879i
$109$	0.427996	−	4.48218i	0.0409946	−	0.429315i	−0.951555	−	0.307477i	$-0.900515\pi$
$109$	0.427996	−	4.48218i	0.0409946	−	0.429315i	0.992550	−	0.121838i	$-0.0388787\pi$
$110$	−0.393872	+	0.413081i	−0.0375542	+	0.0393857i
$111$	−9.89408	−	16.3091i	−0.939105	−	1.54799i
$112$	1.06123	−	11.9924i	0.100277	−	1.13317i
$113$	4.82623	−	3.10163i	0.454014	−	0.291777i	−0.293578	−	0.955935i	$-0.594846\pi$
$113$	4.82623	−	3.10163i	0.454014	−	0.291777i	0.747592	+	0.664158i	$0.231210\pi$
$114$	0.781292	−	10.6114i	0.0731747	−	0.993846i
$115$	−0.860098	+	0.920451i	−0.0802045	+	0.0858325i
$116$	−4.72417	−	2.72750i	−0.438628	−	0.253242i
$117$	−0.384148	+	3.85231i	−0.0355145	+	0.356146i
$118$	−3.10956	+	21.6275i	−0.286258	+	1.99097i
$119$	11.5508	−	1.74264i	1.05886	−	0.159747i
$120$	0.0880218	−	0.273380i	0.00803526	−	0.0249561i
$121$	−5.63451	+	7.91256i	−0.512228	+	0.719324i
$122$	−9.76487	+	1.88202i	−0.884070	+	0.170390i
$123$	−1.86657	+	1.25763i	−0.168303	+	0.113397i
$124$	−0.724259	−	2.98543i	−0.0650403	−	0.268100i
$125$	−1.70831	+	1.97149i	−0.152796	+	0.176336i
$126$	−5.69050	−	14.1018i	−0.506950	−	1.25629i
$127$	7.89455	+	5.07352i	0.700528	+	0.450202i	0.841815	−	0.539767i	$-0.181488\pi$
$127$	7.89455	+	5.07352i	0.700528	+	0.450202i	−0.141287	+	0.989969i	$0.545124\pi$
$128$	−0.942749	+	4.89145i	−0.0833280	+	0.432347i
$129$	0.688729	+	4.14886i	0.0606392	+	0.365286i
$130$	0.241371	−	0.602915i	0.0211696	−	0.0528791i
$131$	−1.69241	−	0.585749i	−0.147867	−	0.0511771i	0.252132	−	0.967693i	$-0.418868\pi$
$131$	−1.69241	−	0.585749i	−0.147867	−	0.0511771i	−0.399999	+	0.916516i	$0.630989\pi$
$132$	0.550959	−	3.23497i	0.0479548	−	0.281568i
$133$	−2.83020	−	7.99738i	−0.245410	−	0.693461i
$134$	9.20755	−	20.1617i	0.795411	−	1.74171i
$135$	−0.217879	−	1.34741i	−0.0187520	−	0.115967i
$136$	−2.78395	+	0.132616i	−0.238721	+	0.0113717i
$137$	−10.0010	+	17.3222i	−0.854440	+	1.47993i	0.0227231	+	0.999742i	$0.492766\pi$
$137$	−10.0010	+	17.3222i	−0.854440	+	1.47993i	−0.877163	+	0.480192i	$0.840567\pi$
$138$	2.51363	−	15.7146i	0.213974	−	1.33771i
$139$	10.5886			0.898110			0.449055	−	0.893504i	$-0.351761\pi$
$139$	10.5886			0.898110			0.449055	+	0.893504i	$0.351761\pi$
$140$	0.118373	+	1.15493i	0.0100044	+	0.0976090i
$141$	4.81368	+	4.39438i	0.405385	+	0.370073i
$142$	16.8228	−	1.60638i	1.41174	−	0.134805i
$143$	−0.345052	+	1.42232i	−0.0288547	+	0.118941i
$144$	3.79107	+	13.1143i	0.315923	+	1.09286i
$145$	−0.810590	−	0.280548i	−0.0673158	−	0.0232982i
$146$	−11.4115	+	1.64073i	−0.944425	+	0.135788i
$147$	−8.67361	−	8.47163i	−0.715388	−	0.698728i
$148$	−13.9042	−	12.0480i	−1.14292	−	0.990343i
$149$	0.478479	−	10.0445i	0.0391985	−	0.822878i	−0.890595	−	0.454797i	$-0.849712\pi$
$149$	0.478479	−	10.0445i	0.0391985	−	0.822878i	0.929794	−	0.368081i	$-0.119985\pi$
$150$	1.97662	−	16.2430i	0.161390	−	1.32624i
$151$	0.0438579	+	0.126719i	0.00356910	+	0.0103122i	0.946771	−	0.321907i	$-0.104324\pi$
$151$	0.0438579	+	0.126719i	0.00356910	+	0.0103122i	−0.943202	+	0.332219i	$0.892203\pi$
$152$	0.477189	+	1.96700i	0.0387052	+	0.159545i
$153$	−11.4987	+	6.57469i	−0.929616	+	0.531532i
$154$	−1.39407	−	5.57726i	−0.112337	−	0.449428i
$155$	−0.200670	−	0.439405i	−0.0161182	−	0.0352939i
$156$	0.786044	+	3.65019i	0.0629339	+	0.292249i
$157$	−10.2309	+	7.28539i	−0.816514	+	0.581437i	−0.910202	−	0.414165i	$-0.864074\pi$
$157$	−10.2309	+	7.28539i	−0.816514	+	0.581437i	0.0936879	+	0.995602i	$0.470134\pi$
$158$	−7.03882	−	5.53539i	−0.559978	−	0.440372i
$159$	3.43420	+	6.32072i	0.272350	+	0.501265i
$160$		−	1.95838i		−	0.154824i
$161$	−3.20089	−	12.2782i	−0.252265	−	0.967658i
$162$	11.7938	+	12.5784i	0.926611	+	0.988255i
$163$	−15.9315	−	8.21325i	−1.24785	−	0.643311i	−0.297567	−	0.954701i	$-0.596175\pi$
$163$	−15.9315	−	8.21325i	−1.24785	−	0.643311i	−0.950282	+	0.311390i	$0.899206\pi$
$164$	−1.34187	+	1.70632i	−0.104782	+	0.133242i
$165$	−0.0111988	−	0.515883i	−0.000871825	−	0.0401614i
$166$	−3.94236	+	4.13463i	−0.305986	+	0.320909i
$167$	−21.2843	+	9.72021i	−1.64703	+	0.752172i	−0.999947	−	0.0102492i	$-0.996738\pi$
$167$	−21.2843	+	9.72021i	−1.64703	+	0.752172i	−0.647081	+	0.762422i	$0.724010\pi$
$168$	1.85256	+	2.22171i	0.142928	+	0.171409i
$169$	1.61309	+	11.2193i	0.124084	+	0.863024i
$170$	2.15934	−	0.523851i	0.165614	−	0.0401775i
$171$	6.26877	+	7.29610i	0.479385	+	0.557947i
$172$	1.85866	+	3.60531i	0.141722	+	0.274902i
$173$	−0.959506	−	0.0457069i	−0.0729499	−	0.00347503i	0.0110752	−	0.999939i	$-0.496475\pi$
$173$	−0.959506	−	0.0457069i	−0.0729499	−	0.00347503i	−0.0840251	+	0.996464i	$0.526778\pi$
$174$	10.4726	−	2.78262i	0.793927	−	0.210950i
$175$	−3.76230	−	12.4919i	−0.284403	−	0.944302i
$176$	0.734462	+	5.10830i	0.0553622	+	0.385052i
$177$	−11.8047	−	15.8383i	−0.887297	−	1.19048i
$178$	0.429209	−	4.49488i	0.0321706	−	0.336905i
$179$	−0.0336153	−	0.00815499i	−0.00251253	−	0.000609533i	0.234502	−	0.972116i	$-0.424654\pi$
$179$	−0.0336153	−	0.00815499i	−0.00251253	−	0.000609533i	−0.237015	+	0.971506i	$0.576169\pi$
$180$	−0.598311	−	1.17260i	−0.0445955	−	0.0874005i
$181$	14.1238	+	2.03070i	1.04982	+	0.150941i	0.645563	−	0.763707i	$-0.276623\pi$
$181$	14.1238	+	2.03070i	1.04982	+	0.150941i	0.404252	+	0.914648i	$0.367532\pi$
$182$	3.83117	+	5.30189i	0.283985	+	0.393002i
$183$	5.05483	−	7.43490i	0.373664	−	0.549603i
$184$	0.461031	+	2.99206i	0.0339877	+	0.220577i
$185$	−2.50537	−	1.44648i	−0.184199	−	0.106347i
$186$	5.20404	+	3.18701i	0.381579	+	0.233683i
$187$	−4.64880	+	1.86110i	−0.339954	+	0.136097i
$188$	5.71818	+	2.61140i	0.417041	+	0.190456i
$189$	12.6413	+	5.40356i	0.919517	+	0.393051i
$190$	−0.670334	−	1.46783i	−0.0486311	−	0.106487i
$191$	1.96149	−	5.66735i	0.141928	−	0.410075i	−0.851525	−	0.524314i	$-0.824322\pi$
$191$	1.96149	−	5.66735i	0.141928	−	0.410075i	0.993453	+	0.114239i	$0.0364430\pi$
$192$	5.01597	+	7.44465i	0.361997	+	0.537272i
$193$	−11.1976	+	10.6769i	−0.806022	+	0.768541i	−0.976200	−	0.216873i	$-0.930414\pi$
$193$	−11.1976	+	10.6769i	−0.806022	+	0.768541i	0.170178	+	0.985413i	$0.445566\pi$
$194$	−19.9379	−	3.84272i	−1.43146	−	0.275891i
$195$	0.229992	+	0.540207i	0.0164701	+	0.0386850i
$196$	−10.4670	−	5.21358i	−0.747645	−	0.372399i
$197$	13.7608	+	11.9238i	0.980413	+	0.849533i	0.988620	−	0.150434i	$-0.0480670\pi$
$197$	13.7608	+	11.9238i	0.980413	+	0.849533i	−0.00820710	+	0.999966i	$0.502612\pi$
$198$	3.75886	+	5.32568i	0.267131	+	0.378480i
$199$	−6.91963	+	17.2844i	−0.490520	+	1.22526i	0.452273	+	0.891879i	$0.350613\pi$
$199$	−6.91963	+	17.2844i	−0.490520	+	1.22526i	−0.942793	+	0.333379i	$0.891811\pi$
$200$	0.589081	+	3.05644i	0.0416543	+	0.216123i
$201$	6.96329	+	18.7894i	0.491152	+	1.32530i
$202$	25.9245	−	7.61211i	1.82404	−	0.535586i
$203$	6.75397	−	5.38764i	0.474036	−	0.378138i
$204$	−8.61305	+	9.43489i	−0.603034	+	0.660574i
$205$	−0.156410	+	0.303393i	−0.0109241	+	0.0211899i
$206$	17.6495	−	30.5699i	1.22970	−	2.12990i
$207$	8.41448	+	11.6703i	0.584847	+	0.811144i
$208$	−2.93609	−	5.08545i	−0.203581	−	0.352613i
$209$	1.96607	+	3.05926i	0.135996	+	0.211614i
$210$	−1.78545	−	1.45971i	−0.123208	−	0.100729i
$211$	3.32262	−	7.27553i	0.228739	−	0.500868i	−0.760109	−	0.649795i	$-0.774855\pi$
$211$	3.32262	−	7.27553i	0.228739	−	0.500868i	0.988848	+	0.148927i	$0.0475819\pi$
$212$	5.02115	+	4.78766i	0.344854	+	0.328818i
$213$	−9.75202	+	11.7608i	−0.668198	+	0.805835i
$214$	5.66146	+	29.3745i	0.387010	+	2.00800i
$215$	0.394271	+	0.501357i	0.0268891	+	0.0341923i
$216$	−2.86891	−	1.59003i	−0.195205	−	0.108188i
$217$	4.82063	+	0.658999i	0.327246	+	0.0447358i
$218$	7.25688	+	4.66372i	0.491498	+	0.315867i
$219$	6.26362	−	8.33077i	0.423256	−	0.562941i
$220$	−0.162772	−	0.470300i	−0.0109741	−	0.0317076i
$221$	4.12362	−	3.93187i	0.277385	−	0.264486i
$222$	36.4584	−	2.53078i	2.44693	−	0.169855i
$223$	6.75005	+	7.78997i	0.452017	+	0.521655i	0.935322	−	0.353797i	$-0.115110\pi$
$223$	6.75005	+	7.78997i	0.452017	+	0.521655i	−0.483306	+	0.875452i	$0.660564\pi$
$224$	16.6675	+	10.5489i	1.11365	+	0.704828i
$225$	9.09562	+	11.6663i	0.606374	+	0.777754i
$226$	1.04478	+	10.9414i	0.0694977	+	0.727813i
$227$	11.5542	+	9.08635i	0.766881	+	0.603082i	0.923064	−	0.384646i	$-0.125677\pi$
$227$	11.5542	+	9.08635i	0.766881	+	0.603082i	−0.156183	+	0.987728i	$0.549919\pi$
$228$	7.91177	+	4.84524i	0.523970	+	0.320884i
$229$	−3.90161	+	2.25259i	−0.257826	+	0.148856i	−0.623342	−	0.781949i	$-0.714226\pi$
$229$	−3.90161	+	2.25259i	−0.257826	+	0.148856i	0.365517	+	0.930805i	$0.380892\pi$
$230$	−0.812343	−	2.27271i	−0.0535643	−	0.149858i
$231$	4.45093	+	2.68351i	0.292850	+	0.176562i
$232$	−1.73409	+	1.11443i	−0.113849	+	0.0731662i
$233$	4.87427	+	12.1753i	0.319324	+	0.797632i	0.998001	+	0.0631957i	$0.0201292\pi$
$233$	4.87427	+	12.1753i	0.319324	+	0.797632i	−0.678677	+	0.734437i	$0.737447\pi$
$234$	−6.22278	−	4.03609i	−0.406796	−	0.263847i
$235$	0.960613	+	0.233042i	0.0626635	+	0.0152020i
$236$	−15.5191	−	11.0511i	−1.01021	−	0.719366i
$237$	8.04027	−	0.944248i	0.522272	−	0.0613355i
$238$	−7.17295	+	21.1996i	−0.464953	+	1.37417i
$239$	7.68839	−	26.1842i	0.497321	−	1.69372i	−0.202401	−	0.979303i	$-0.564874\pi$
$239$	7.68839	−	26.1842i	0.497321	−	1.69372i	0.699722	−	0.714416i	$-0.253307\pi$
$240$	1.46086	+	1.46700i	0.0942981	+	0.0946941i
$241$	5.91327	+	11.4701i	0.380907	+	0.738857i	0.998879	−	0.0473436i	$-0.0150756\pi$
$241$	5.91327	+	11.4701i	0.380907	+	0.738857i	−0.617971	+	0.786201i	$0.712045\pi$
$242$	−8.52764	−	16.5413i	−0.548178	−	1.06332i
$243$	−15.5793	−	0.534215i	−0.999413	−	0.0342699i
$244$	2.44292	−	8.31984i	0.156392	−	0.532623i
$245$	−1.77128	−	0.493506i	−0.113163	−	0.0315289i
$246$	−0.502950	−	4.28262i	−0.0320669	−	0.273050i
$247$	−3.37055	−	2.40016i	−0.214463	−	0.152719i
$248$	−1.12813	−	0.273681i	−0.0716362	−	0.0173788i
$249$	−0.112091	−	5.16360i	−0.00710351	−	0.327230i
$250$	−1.85750	−	4.63982i	−0.117479	−	0.293448i
$251$	16.5750	−	10.6521i	1.04620	−	0.672355i	0.0996909	−	0.995018i	$-0.468215\pi$
$251$	16.5750	−	10.6521i	1.04620	−	0.672355i	0.946514	+	0.322664i	$0.104578\pi$
$252$	13.2027	+	1.22411i	0.831690	+	0.0771117i
$253$	2.54099	+	4.80915i	0.159751	+	0.302349i
$254$	−15.5702	+	8.98946i	−0.976962	+	0.564049i
$255$	−1.04911	+	1.71308i	−0.0656977	+	0.107277i
$256$	−15.6498	−	12.3071i	−0.978110	−	0.769194i
$257$	−0.397228	−	4.15996i	−0.0247784	−	0.259491i	−0.999370	−	0.0355004i	$-0.988698\pi$
$257$	−0.397228	−	4.15996i	−0.0247784	−	0.259491i	0.974591	−	0.223991i	$-0.0719086\pi$
$258$	−7.66965	−	2.46945i	−0.477492	−	0.153741i
$259$	25.8060	−	13.5314i	1.60351	−	0.840799i
$260$	0.370827	+	0.427957i	0.0229977	+	0.0265408i
$261$	−4.93370	+	8.46332i	−0.305389	+	0.523866i
$262$	2.48322	−	2.36775i	0.153414	−	0.146280i
$263$	−1.32487	−	3.82797i	−0.0816952	−	0.236043i	0.896754	−	0.442529i	$-0.145918\pi$
$263$	−1.32487	−	3.82797i	−0.0816952	−	0.236043i	−0.978450	+	0.206486i	$0.933797\pi$
$264$	−0.991131	−	0.745197i	−0.0609999	−	0.0458637i
$265$	0.917752	+	0.589804i	0.0563771	+	0.0362314i
$266$	16.1032	+	2.20138i	0.987353	+	0.134975i
$267$	2.59245	+	3.15324i	0.158655	+	0.192975i
$268$	11.9467	+	15.1915i	0.729762	+	0.927968i
$269$	2.50068	+	12.9747i	0.152469	+	0.791084i	0.974973	+	0.222325i	$0.0713644\pi$
$269$	2.50068	+	12.9747i	0.152469	+	0.791084i	−0.822504	+	0.568760i	$0.807423\pi$
$270$	2.48576	+	0.811870i	0.151279	+	0.0494088i
$271$	12.9679	+	12.3648i	0.787741	+	0.751110i	0.972807	−	0.231616i	$-0.0744014\pi$
$271$	12.9679	+	12.3648i	0.787741	+	0.751110i	−0.185066	+	0.982726i	$0.559250\pi$
$272$	8.34612	−	18.2755i	0.506058	−	1.10811i
$273$	−5.83648	−	0.952414i	−0.353240	−	0.0576427i
$274$	−20.7178	−	32.2376i	−1.25161	−	1.94754i
$275$	2.79623	+	4.84322i	0.168619	+	0.292057i
$276$	11.1746	+	8.22678i	0.672634	+	0.495194i
$277$	−5.54806	+	9.60952i	−0.333351	+	0.577380i	−0.983167	−	0.182711i	$-0.941513\pi$
$277$	−5.54806	+	9.60952i	−0.333351	+	0.577380i	0.649816	+	0.760092i	$0.274846\pi$
$278$	−9.29567	+	18.0311i	−0.557517	+	1.08143i
$279$	−5.36681	+	1.27818i	−0.321303	+	0.0765229i
$280$	0.408403	+	0.160221i	0.0244067	+	0.00957505i
$281$	−6.81262	+	2.00036i	−0.406407	+	0.119332i	−0.478545	−	0.878063i	$-0.658836\pi$
$281$	−6.81262	+	2.00036i	−0.406407	+	0.119332i	0.0721387	+	0.997395i	$0.477018\pi$
$282$	−11.7090	+	4.33931i	−0.697262	+	0.258402i
$283$	−5.97122	−	30.9816i	−0.354952	−	1.84167i	−0.518430	−	0.855120i	$-0.673483\pi$
$283$	−5.97122	−	30.9816i	−0.354952	−	1.84167i	0.163478	−	0.986547i	$-0.447729\pi$
$284$	−5.47652	+	13.6797i	−0.324972	+	0.811740i
$285$	1.36578	+	0.512674i	0.0809021	+	0.0303682i
$286$	−2.11913	−	1.83624i	−0.125307	−	0.108579i
$287$	−1.73963	−	2.96542i	−0.102687	−	0.175043i
$288$	−21.9442	−	4.32486i	−1.29308	−	0.254845i
$289$	2.44905	+	0.472016i	0.144062	+	0.0277656i
$290$	1.18935	−	1.13405i	0.0698413	−	0.0665936i
$291$	15.2237	−	10.2573i	0.892430	−	0.601291i
$292$	3.28785	−	9.49961i	0.192407	−	0.555923i
$293$	6.02241	+	13.1872i	0.351833	+	0.770407i	0.999961	+	0.00887509i	$0.00282507\pi$
$293$	6.02241	+	13.1872i	0.351833	+	0.770407i	−0.648128	+	0.761532i	$0.724448\pi$
$294$	22.0407	−	7.33293i	1.28544	−	0.427665i
$295$	−2.72505	−	1.24449i	−0.158659	−	0.0724570i
$296$	−6.45414	+	2.58385i	−0.375140	+	0.150183i
$297$	−5.80534	−	1.01378i	−0.336860	−	0.0588255i
$298$	16.6846	+	9.63284i	0.966511	+	0.558016i
$299$	−4.71787	−	4.00549i	−0.272842	−	0.231643i
$300$	11.7988	+	8.02174i	0.681203	+	0.463135i
$301$	−6.39073	+	0.655014i	−0.368356	+	0.0377544i
$302$	−0.254290	−	0.0365614i	−0.0146328	−	0.00210387i
$303$	−11.7514	+	21.4142i	−0.675099	+	1.23022i
$304$	−14.1793	−	3.43986i	−0.813237	−	0.197289i
$305$	0.129607	−	1.35730i	0.00742125	−	0.0777189i
$306$	−1.10124	−	25.3529i	−0.0629537	−	1.44933i
$307$	−1.19412	−	8.30530i	−0.0681521	−	0.474008i	−0.995104	−	0.0988292i	$-0.968490\pi$
$307$	−1.19412	−	8.30530i	−0.0681521	−	0.474008i	0.926952	−	0.375179i	$-0.122419\pi$
$308$	4.87943	+	1.14795i	0.278032	+	0.0654107i
$309$	8.19495	+	30.8423i	0.466194	+	1.75456i
$310$	0.924424	+	0.0440357i	0.0525037	+	0.00250106i
$311$	7.69157	+	14.9196i	0.436149	+	0.846011i	0.999800	+	0.0199978i	$0.00636592\pi$
$311$	7.69157	+	14.9196i	0.436149	+	0.846011i	−0.563651	+	0.826013i	$0.690604\pi$
$312$	1.36210	+	0.368034i	0.0771137	+	0.0208358i
$313$	0.0959172	−	0.0232693i	0.00542156	−	0.00131526i	−0.233047	−	0.972465i	$-0.574870\pi$
$313$	0.0959172	−	0.0232693i	0.00542156	−	0.00131526i	0.238469	+	0.971150i	$0.423355\pi$
$314$	−3.42449	−	23.8178i	−0.193255	−	1.34412i
$315$	2.07495	−	0.203888i	0.116910	−	0.0114878i
$316$	7.10232	−	3.24352i	0.399537	−	0.182462i
$317$	−12.0577	+	12.6458i	−0.677228	+	0.710257i	−0.969229	−	0.246161i	$-0.920831\pi$
$317$	−12.0577	+	12.6458i	−0.677228	+	0.710257i	0.292000	+	0.956418i	$0.405679\pi$
$318$	−13.7783	+	0.299100i	−0.772650	+	0.0167727i
$319$	−2.28936	+	2.91115i	−0.128179	+	0.162993i
$320$	1.21006	+	0.623828i	0.0676443	+	0.0348731i
$321$	−22.3655	−	15.2058i	−1.24832	−	0.848706i
$322$	23.7184	+	5.32827i	1.32177	+	0.296933i
$323$		−	14.1571i		−	0.787720i
$324$	−14.4606	+	4.11469i	−0.803367	+	0.228594i
$325$	−5.00190	−	3.93354i	−0.277456	−	0.218193i
$326$	27.9724	−	19.9191i	1.54925	−	1.10321i
$327$	−7.62390	+	1.64176i	−0.421603	+	0.0907893i
$328$	0.340755	+	0.746150i	0.0188151	+	0.0411993i
$329$	−7.15776	+	6.92035i	−0.394620	+	0.381531i
$330$	0.888319	+	0.433822i	0.0489004	+	0.0238811i
$331$	−6.37391	−	26.2736i	−0.350342	−	1.44413i	−0.825587	−	0.564275i	$-0.809156\pi$
$331$	−6.37391	−	26.2736i	−0.350342	−	1.44413i	0.475245	−	0.879853i	$-0.342359\pi$
$332$	−1.62923	−	4.70735i	−0.0894155	−	0.258349i
$333$	−21.7410	+	24.8790i	−1.19140	+	1.36336i
$334$	2.13304	−	44.7780i	0.116715	−	2.45014i
$335$	2.29668	+	1.99009i	0.125481	+	0.108730i
$336$	−20.3544	+	4.53116i	−1.11042	+	0.247195i
$337$	19.8043	−	2.84743i	1.07881	−	0.155109i	0.420077	−	0.907488i	$-0.362003\pi$
$337$	19.8043	−	2.84743i	1.07881	−	0.155109i	0.658730	+	0.752379i	$0.271094\pi$
$338$	−20.5213	−	7.10249i	−1.11621	−	0.386325i
$339$	−7.64911	−	6.34264i	−0.415443	−	0.344485i
$340$	−0.456767	+	1.88282i	−0.0247716	+	0.102110i
$341$	−2.07622	+	0.198255i	−0.112434	+	0.0107361i
$342$	−17.9277	+	4.26975i	−0.969421	+	0.230882i
$343$	13.7412	−	12.4169i	0.741957	−	0.670448i
$344$	1.53275			0.0826404
$345$	1.97021	+	0.937692i	0.106073	+	0.0504837i
$346$	0.920181	−	1.59380i	0.0494693	−	0.0856833i
$347$	−7.40871	+	0.352921i	−0.397721	+	0.0189458i	−0.245490	−	0.969399i	$-0.578949\pi$
$347$	−7.40871	+	0.352921i	−0.397721	+	0.0189458i	−0.152231	+	0.988345i	$0.548646\pi$
$348$	−2.02773	+	9.22819i	−0.108698	+	0.494683i
$349$	14.7627	−	32.3259i	0.790231	−	1.73036i	0.114241	−	0.993453i	$-0.463557\pi$
$349$	14.7627	−	32.3259i	0.790231	−	1.73036i	0.675990	−	0.736911i	$-0.263716\pi$
$350$	24.5752	+	4.55988i	1.31360	+	0.243736i
$351$	6.56107	−	1.38414i	0.350204	−	0.0738798i
$352$	−7.99051	−	2.76554i	−0.425895	−	0.147404i
$353$	−7.36185	+	18.3890i	−0.391832	+	0.978749i	0.592994	+	0.805207i	$0.297946\pi$
$353$	−7.36185	+	18.3890i	−0.391832	+	0.978749i	−0.984826	+	0.173542i	$0.944479\pi$
$354$	37.3341	−	6.19763i	1.98429	−	0.329400i
$355$	−0.438500	+	2.27515i	−0.0232731	+	0.120753i
$356$	3.31209	+	2.12855i	0.175541	+	0.112813i
$357$	−8.92875	−	18.1564i	−0.472560	−	0.960937i
$358$	0.0433978	−	0.0500838i	0.00229365	−	0.00264701i
$359$	−2.61221	−	10.7677i	−0.137867	−	0.568297i	−0.998276	−	0.0586923i	$-0.981307\pi$
$359$	−2.61221	−	10.7677i	−0.137867	−	0.568297i	0.860409	−	0.509604i	$-0.170208\pi$
$360$	−0.497442	−	0.00208463i	−0.0262175	−	0.000109870i
$361$	8.56127	−	1.65005i	0.450593	−	0.0868447i
$362$	−15.8573	+	22.2685i	−0.833442	+	1.17040i
$363$	16.0150	+	5.15645i	0.840569	+	0.270643i
$364$	−5.63975	+	0.850852i	−0.295603	+	0.0445967i
$365$	0.224956	−	1.56460i	0.0117747	−	0.0818952i
$366$	8.22314	+	15.1349i	0.429830	+	0.791112i
$367$	6.15678	+	3.55462i	0.321381	+	0.185550i	0.652008	−	0.758212i	$-0.273927\pi$
$367$	6.15678	+	3.55462i	0.321381	+	0.185550i	−0.330627	+	0.943762i	$0.607260\pi$
$368$	−20.6937	−	6.92931i	−1.07873	−	0.361215i
$369$	3.05418	+	2.42262i	0.158994	+	0.126117i
$370$	4.66264	−	2.99650i	0.242399	−	0.155781i
$371$	−9.96324	+	4.63386i	−0.517265	+	0.240578i
$372$	−4.54922	+	2.75984i	−0.235866	+	0.143091i
$373$	−17.7233	+	18.5876i	−0.917676	+	0.962431i	−0.999414	−	0.0342225i	$-0.989105\pi$
$373$	−17.7233	+	18.5876i	−0.917676	+	0.962431i	0.0817378	+	0.996654i	$0.473953\pi$
$374$	0.911934	−	9.55021i	0.0471550	−	0.493829i
$375$	4.14978	+	1.78734i	0.214294	+	0.0922979i
$376$	1.86722	−	1.46840i	0.0962944	−	0.0757267i
$377$	1.18722	−	4.04329i	0.0611448	−	0.208240i
$378$	−20.2994	+	16.7828i	−1.04409	+	0.863215i
$379$	−14.6336	+	22.7703i	−0.751677	+	1.16963i	0.228891	+	0.973452i	$0.426490\pi$
$379$	−14.6336	+	22.7703i	−0.751677	+	1.16963i	−0.980568	+	0.196180i	$0.937146\pi$
$380$	1.40541	+	0.0669480i	0.0720961	+	0.00343436i
$381$	4.23974	−	15.6913i	0.217208	−	0.803891i
$382$	7.92884	+	8.31553i	0.405675	+	0.425459i
$383$	8.16935	−	6.42444i	0.417434	−	0.328274i	−0.387252	−	0.921974i	$-0.626576\pi$
$383$	8.16935	−	6.42444i	0.417434	−	0.328274i	0.804687	+	0.593700i	$0.202333\pi$
$384$	8.56926	−	1.00637i	0.437298	−	0.0513563i
$385$	0.787558	+	0.0320414i	0.0401377	+	0.00163298i
$386$	−8.35117	−	28.4415i	−0.425063	−	1.44763i
$387$	6.48854	−	3.31073i	0.329831	−	0.168294i
$388$	10.9443	−	13.9168i	0.555611	−	0.706517i
$389$	−1.77847	−	37.3347i	−0.0901721	−	1.89295i	−0.364344	−	0.931264i	$-0.618707\pi$
$389$	−1.77847	−	37.3347i	−0.0901721	−	1.89295i	0.274172	−	0.961681i	$-0.411596\pi$
$390$	−1.12182	−	0.0825970i	−0.0568055	−	0.00418246i
$391$	1.80014	−	21.0980i	0.0910369	−	1.06697i
$392$	−3.56349	+	2.61282i	−0.179984	+	0.131967i
$393$	−0.0803167	+	3.10090i	−0.00405144	+	0.156420i
$394$	−32.3853	+	12.9651i	−1.63155	+	0.653173i
$395$	1.00009	−	0.712163i	0.0503201	−	0.0358328i
$396$	−5.62930	+	0.785307i	−0.282883	+	0.0394632i
$397$	21.0206	−	29.5193i	1.05500	−	1.48153i	0.188678	−	0.982039i	$-0.439580\pi$
$397$	21.0206	−	29.5193i	1.05500	−	1.48153i	0.866317	−	0.499495i	$-0.166481\pi$
$398$	−23.3586	−	26.9572i	−1.17086	−	1.35124i
$399$	−11.7201	+	8.86246i	−0.586740	+	0.443678i
$400$	−21.5292	−	6.32154i	−1.07646	−	0.316077i
$401$	11.1081	+	2.14091i	0.554713	+	0.106912i	0.458901	−	0.888487i	$-0.348243\pi$
$401$	11.1081	+	2.14091i	0.554713	+	0.106912i	0.0958118	+	0.995399i	$0.469455\pi$
$402$	−38.1093	−	4.63753i	−1.90072	−	0.231299i
$403$	2.10933	−	1.08744i	0.105073	−	0.0541691i
$404$	−4.45855	+	23.1331i	−0.221821	+	1.15092i
$405$	−2.11031	+	1.06565i	−0.104862	+	0.0529524i
$406$	3.24522	+	16.2310i	0.161058	+	0.805532i
$407$	−9.43982	+	8.17965i	−0.467915	+	0.405450i
$408$	1.67752	+	4.52656i	0.0830498	+	0.224098i
$409$	−3.44563	+	14.2031i	−0.170376	+	0.702298i	0.820965	+	0.570979i	$0.193436\pi$
$409$	−3.44563	+	14.2031i	−0.170376	+	0.702298i	−0.991340	+	0.131319i	$0.958079\pi$
$410$	−0.379331	−	0.532695i	−0.0187338	−	0.0263079i
$411$	33.8371	+	7.43511i	1.66906	+	0.366747i
$412$	16.6402	+	25.8927i	0.819804	+	1.27564i
$413$	25.2703	−	16.4891i	1.24347	−	0.811374i
$414$	−27.2602	+	4.08352i	−1.33977	+	0.200694i
$415$	−0.391641	−	0.678342i	−0.0192249	−	0.0332985i
$416$	9.61014	−	0.457787i	0.471176	−	0.0224449i
$417$	−5.54765	−	17.4808i	−0.271669	−	0.856036i
$418$	−6.93557	+	0.662267i	−0.339230	+	0.0323925i
$419$	−21.9013	+	6.43081i	−1.06995	+	0.314166i	−0.768852	−	0.639427i	$-0.779172\pi$
$419$	−21.9013	+	6.43081i	−1.06995	+	0.314166i	−0.301099	+	0.953593i	$0.597353\pi$
$420$	1.84466	−	0.800521i	0.0900101	−	0.0390614i
$421$	9.11385	−	7.89720i	0.444182	−	0.384886i	−0.403855	−	0.914823i	$-0.632330\pi$
$421$	9.11385	−	7.89720i	0.444182	−	0.384886i	0.848037	+	0.529937i	$0.177784\pi$
$422$	9.47246	+	12.0452i	0.461112	+	0.586352i
$423$	4.73270	−	10.2493i	0.230112	−	0.498337i
$424$	2.47747	−	0.857459i	0.120316	−	0.0416419i
$425$	1.03593	−	21.7468i	0.0502498	−	1.05487i
$426$	−11.4659	−	26.9313i	−0.555526	−	1.30483i
$427$	10.8537	+	8.41421i	0.525246	+	0.407192i
$428$	−25.0275	−	7.34875i	−1.20975	−	0.355215i
$429$	2.52891	−	0.175546i	0.122097	−	0.00847544i
$430$	−1.19988	+	0.231258i	−0.0578634	+	0.0111523i
$431$	18.1755	+	1.73555i	0.875484	+	0.0835986i	0.523114	−	0.852262i	$-0.324770\pi$
$431$	18.1755	+	1.73555i	0.875484	+	0.0835986i	0.352369	+	0.935861i	$0.385376\pi$
$432$	19.6642	−	13.1296i	0.946095	−	0.631700i
$433$	10.1079	+	4.61614i	0.485757	+	0.221838i	0.643212	−	0.765689i	$-0.277602\pi$
$433$	10.1079	+	4.61614i	0.485757	+	0.221838i	−0.157455	+	0.987526i	$0.550329\pi$
$434$	−5.35422	+	7.63044i	−0.257011	+	0.366273i
$435$	−0.0384682	+	1.48520i	−0.00184441	+	0.0712097i
$436$	−6.51389	+	3.76080i	−0.311959	+	0.180110i
$437$	−15.2923	+	1.61600i	−0.731532	+	0.0773036i
$438$	8.68751	+	17.9798i	0.415105	+	0.859106i
$439$	−6.01774	−	3.10236i	−0.287211	−	0.148067i	0.308601	−	0.951192i	$-0.400139\pi$
$439$	−6.01774	−	3.10236i	−0.287211	−	0.148067i	−0.595812	+	0.803124i	$0.703170\pi$
$440$	−0.186145	−	0.0267636i	−0.00887410	−	0.00127590i
$441$	−9.44153	+	18.7579i	−0.449597	+	0.893232i
$442$	3.07539	+	10.4738i	0.146281	+	0.498189i
$443$	5.96131	+	4.24503i	0.283230	+	0.201687i	0.712839	−	0.701328i	$-0.247409\pi$
$443$	5.96131	+	4.24503i	0.283230	+	0.201687i	−0.429609	+	0.903015i	$0.641348\pi$
$444$	−12.6054	+	29.2668i	−0.598227	+	1.38894i
$445$	0.574738	+	0.230090i	0.0272452	+	0.0109073i
$446$	−19.1913	+	4.65575i	−0.908732	+	0.220456i
$447$	−16.8333	+	4.47268i	−0.796186	+	0.211550i
$448$	−11.8273	+	6.93836i	−0.558789	+	0.327807i
$449$	7.73067	−	12.0292i	0.364833	−	0.567691i	−0.609505	−	0.792782i	$-0.708632\pi$
$449$	7.73067	−	12.0292i	0.364833	−	0.567691i	0.974338	+	0.225091i	$0.0722680\pi$
$450$	−27.8514	+	5.24696i	−1.31293	+	0.247344i
$451$	1.01701	+	1.06661i	0.0478893	+	0.0502249i
$452$	−8.89717	−	3.56189i	−0.418487	−	0.167537i
$453$	0.186223	−	0.138797i	0.00874953	−	0.00652125i
$454$	−25.6164	+	11.6986i	−1.20224	+	0.549044i
$455$	−0.845472	+	0.299205i	−0.0396363	+	0.0140269i
$456$	2.99733	−	1.81836i	0.140363	−	0.0851526i
$457$	−11.3815	−	28.4296i	−0.532403	−	1.32988i	−0.914061	−	0.405576i	$-0.867071\pi$
$457$	−11.3815	−	28.4296i	−0.532403	−	1.32988i	0.381658	−	0.924304i	$-0.375353\pi$
$458$	−0.410694	−	8.62153i	−0.0191905	−	0.402858i
$459$	16.8787	+	15.5387i	0.787831	+	0.725283i
$460$	2.08594	+	0.278476i	0.0972575	+	0.0129840i
$461$			12.2010i			0.568256i	0.958786	+	0.284128i	$0.0917041\pi$
$461$			12.2010i			0.568256i	−0.958786	+	0.284128i	$0.908296\pi$
$462$	−8.47716	+	5.22357i	−0.394393	+	0.243022i
$463$	−1.90732	+	13.2657i	−0.0886406	+	0.616509i	0.896278	+	0.443492i	$0.146261\pi$
$463$	−1.90732	+	13.2657i	−0.0886406	+	0.616509i	−0.984919	+	0.173017i	$0.944649\pi$
$464$	−1.41246	−	14.7919i	−0.0655717	−	0.686698i
$465$	−0.620282	+	0.561504i	−0.0287649	+	0.0260391i
$466$	−25.0123	−	2.38838i	−1.15867	−	0.110640i
$467$	10.6501	−	30.7715i	0.492829	−	1.42393i	−0.374978	−	0.927034i	$-0.622350\pi$
$467$	10.6501	−	30.7715i	0.492829	−	1.42393i	0.867807	−	0.496901i	$-0.165529\pi$
$468$	5.61430	−	3.21012i	0.259521	−	0.148388i
$469$	−29.3085	+	8.82707i	−1.35334	+	0.407596i
$470$	−1.24016	+	1.43122i	−0.0572044	+	0.0660174i
$471$	17.3878	+	13.0733i	0.801186	+	0.602384i
$472$	−6.39893	+	3.29888i	−0.294535	+	0.151843i
$473$	2.60238	−	0.900694i	0.119658	−	0.0414140i
$474$	−5.45059	+	14.5206i	−0.250354	+	0.666953i
$475$	−15.6500	+	2.25012i	−0.718069	+	0.103243i
$476$	−13.5640	−	14.0293i	−0.621705	−	0.643033i
$477$	8.63565	−	8.98115i	0.395399	−	0.411219i
$478$	37.8391	+	36.0795i	1.73072	+	1.65024i
$479$	18.0549	+	25.3546i	0.824950	+	1.15848i	0.985201	+	0.171404i	$0.0548304\pi$
$479$	18.0549	+	25.3546i	0.824950	+	1.15848i	−0.160250	+	0.987076i	$0.551230\pi$
$480$	−3.23311	+	1.02605i	−0.147571	+	0.0468327i
$481$	6.51247	−	12.6324i	0.296943	−	0.575990i
$482$	−24.7236			−1.12613
$483$	−18.5932	+	11.7173i	−0.846018	+	0.533154i
$484$	16.2269			0.737586
$485$	1.27568	−	2.47447i	0.0579256	−	0.112360i
$486$	14.5867	−	26.0607i	0.661667	−	1.18214i
$487$	17.7935	+	24.9874i	0.806300	+	1.13229i	0.988824	+	0.149088i	$0.0476338\pi$
$487$	17.7935	+	24.9874i	0.806300	+	1.13229i	−0.182524	+	0.983201i	$0.558427\pi$
$488$	−2.37139	−	2.26112i	−0.107348	−	0.102356i
$489$	−5.21237	+	30.6046i	−0.235712	+	1.38399i
$490$	2.39539	−	2.58304i	0.108213	−	0.116690i
$491$	−30.0057	+	4.31417i	−1.35414	+	0.194696i	−0.780881	−	0.624679i	$-0.785230\pi$
$491$	−30.0057	+	4.31417i	−1.35414	+	0.194696i	−0.573258	+	0.819375i	$0.694321\pi$
$492$	3.52003	+	1.32131i	0.158695	+	0.0595693i
$493$	13.6248	−	4.71557i	0.613628	−	0.212379i
$494$	7.04619	−	3.63256i	0.317023	−	0.163437i
$495$	−0.845808	+	0.288774i	−0.0380162	+	0.0129794i
$496$	5.47993	−	6.32418i	0.246056	−	0.283964i
$497$	−17.0015	−	15.9872i	−0.762622	−	0.717123i
$498$	8.89141	+	4.34223i	0.398433	+	0.194580i
$499$	8.56185	−	24.7378i	0.383281	−	1.10742i	−0.574149	−	0.818751i	$-0.694667\pi$
$499$	8.56185	−	24.7378i	0.383281	−	1.10742i	0.957430	−	0.288667i	$-0.0932119\pi$
$500$	4.33807	+	0.414235i	0.194004	+	0.0185252i
$501$	27.1986	+	30.0457i	1.21514	+	1.34234i
$502$	3.58814	+	37.5767i	0.160147	+	1.67713i
$503$	2.04967	−	14.2557i	0.0913901	−	0.635632i	−0.891716	−	0.452595i	$-0.850498\pi$
$503$	2.04967	−	14.2557i	0.0913901	−	0.635632i	0.983106	−	0.183037i	$-0.0585927\pi$
$504$	2.69723	−	4.22243i	0.120144	−	0.188082i
$505$			3.70449i			0.164848i
$506$	−10.4201	+	0.105071i	−0.463232	+	0.00467099i
$507$	17.6769	−	8.54118i	0.785059	−	0.379327i
$508$	−0.745920	−	15.6588i	−0.0330948	−	0.694746i
$509$	12.6144	+	31.5091i	0.559121	+	1.39662i	0.891306	+	0.453403i	$0.149790\pi$
$509$	12.6144	+	31.5091i	0.559121	+	1.39662i	−0.332184	+	0.943214i	$0.607786\pi$
$510$	−1.99617	−	3.29042i	−0.0883919	−	0.145702i
$511$	12.1044	+	10.3424i	0.535467	+	0.457519i
$512$	25.6338	−	11.7066i	1.13287	−	0.517363i
$513$	8.76081	−	14.1718i	0.386799	−	0.625700i
$514$	7.43265	+	2.97558i	0.327840	+	0.131247i
$515$	3.33982	+	3.50270i	0.147170	+	0.154347i
$516$	4.97823	−	4.95741i	0.219154	−	0.218238i
$517$	2.30738	−	3.59035i	0.101478	−	0.157904i
$518$	0.387304	+	55.8238i	0.0170171	+	2.45276i
$519$	0.427254	+	1.60800i	0.0187544	+	0.0705836i
$520$	0.207948	−	0.0504477i	0.00911914	−	0.00221228i
$521$	6.54757	+	2.62125i	0.286854	+	0.114839i	0.510627	−	0.859802i	$-0.329413\pi$
$521$	6.54757	+	2.62125i	0.286854	+	0.114839i	−0.223773	+	0.974641i	$0.571837\pi$
$522$	−10.0808	−	15.8314i	−0.441223	−	0.692924i
$523$	9.45374	+	6.73198i	0.413383	+	0.294369i	0.767765	−	0.640732i	$-0.221369\pi$
$523$	9.45374	+	6.73198i	0.413383	+	0.294369i	−0.354381	+	0.935101i	$0.615308\pi$
$524$	0.842869	+	2.87055i	0.0368209	+	0.125401i
$525$	−18.6519	+	12.7561i	−0.814034	+	0.556721i
$526$	7.68169	+	1.10446i	0.334938	+	0.0481567i
$527$	7.21687	+	3.72055i	0.314372	+	0.162070i
$528$	8.04852	−	3.88891i	0.350267	−	0.169243i
$529$	−22.9953	+	0.463793i	−0.999797	+	0.0201649i
$530$	−1.81006	+	1.04504i	−0.0786239	+	0.0453935i
$531$	−19.9628	+	27.7867i	−0.866312	+	1.20584i
$532$	−8.14008	+	11.6006i	−0.352917	+	0.502951i
$533$	−1.52536	−	0.696611i	−0.0660709	−	0.0301736i
$534$	−7.64551	+	1.64641i	−0.330853	+	0.0712470i
$535$	−4.08300	−	0.389880i	−0.176524	−	0.0168560i
$536$	7.17100	−	1.38210i	0.309740	−	0.0596975i
$537$	0.00414887	+	0.0597685i	0.000179037	+	0.00257920i
$538$	−24.2898	−	7.13213i	−1.04721	−	0.307488i
$539$	−4.51491	+	6.53020i	−0.194471	+	0.281276i
$540$	−1.62239	+	1.60212i	−0.0698164	+	0.0689441i
$541$	−0.412819	+	8.66613i	−0.0177485	+	0.372586i	0.972467	+	0.233040i	$0.0748674\pi$
$541$	−0.412819	+	8.66613i	−0.0177485	+	0.372586i	−0.990216	+	0.139546i	$0.955436\pi$
$542$	−32.4403	+	11.2277i	−1.39343	+	0.482271i
$543$	−4.04737	−	24.3811i	−0.173689	−	1.04629i
$544$	20.3482	+	25.8748i	0.872421	+	1.10937i
$545$	−0.893845	+	0.774521i	−0.0382881	+	0.0331768i
$546$	6.74568	−	9.10273i	0.288688	−	0.389561i
$547$	−31.6554	+	9.29486i	−1.35349	+	0.397419i	−0.876462	−	0.481471i	$-0.840103\pi$
$547$	−31.6554	+	9.29486i	−1.35349	+	0.397419i	−0.477024	+	0.878890i	$0.658285\pi$
$548$	33.2622	−	3.17616i	1.42089	−	0.135679i
$549$	−14.9227	−	4.44971i	−0.636886	−	0.189909i
$550$	−10.7022	+	0.509811i	−0.456345	+	0.0217384i
$551$	−5.23523	−	9.06769i	−0.223028	−	0.386297i
$552$	4.69806	−	2.32874i	0.199963	−	0.0991179i
$553$	0.674086	+	12.3477i	0.0286651	+	0.525079i
$554$	−11.4933	−	17.8839i	−0.488302	−	0.759813i
$555$	−1.07537	+	4.89399i	−0.0456468	+	0.207738i
$556$	−10.2602	−	14.4085i	−0.435131	−	0.611056i
$557$	−2.41943	+	9.97303i	−0.102515	+	0.422571i	−0.999823	−	0.0188339i	$-0.994005\pi$
$557$	−2.41943	+	9.97303i	−0.102515	+	0.422571i	0.897308	+	0.441405i	$0.145520\pi$
$558$	2.53491	−	10.2612i	0.107311	−	0.434390i
$559$	−2.36808	+	2.05196i	−0.100159	+	0.0867885i
$560$	−2.37560	+	2.08750i	−0.100387	+	0.0882129i
$561$	5.50814	+	6.69966i	0.232554	+	0.282860i
$562$	2.57439	−	13.3572i	0.108594	−	0.563439i
$563$	15.5234	−	8.00289i	0.654235	−	0.337282i	−0.0989478	−	0.995093i	$-0.531548\pi$
$563$	15.5234	−	8.00289i	0.654235	−	0.337282i	0.753183	+	0.657811i	$0.228517\pi$
$564$	1.31528	−	10.8084i	0.0553831	−	0.455115i
$565$	−1.47974	−	0.285197i	−0.0622532	−	0.0119983i
$566$	58.0002	+	17.0304i	2.43793	+	0.715841i
$567$	2.29767	−	23.7006i	0.0964929	−	0.995334i
$568$	3.64633	+	4.20809i	0.152997	+	0.176568i
$569$	16.7155	−	23.4737i	0.700751	−	0.984068i	−0.298806	−	0.954314i	$-0.596588\pi$
$569$	16.7155	−	23.4737i	0.700751	−	0.984068i	0.999557	−	0.0297538i	$-0.00947234\pi$
$570$	−2.07204	+	1.87570i	−0.0867882	+	0.0785642i
$571$	−8.12901	+	5.78864i	−0.340188	+	0.242247i	−0.737364	−	0.675496i	$-0.763930\pi$
$571$	−8.12901	+	5.78864i	−0.340188	+	0.242247i	0.397176	+	0.917743i	$0.369990\pi$
$572$	2.26980	−	0.908689i	0.0949049	−	0.0379942i
$573$	−10.3839	−	0.268955i	−0.433796	−	0.0112358i
$574$	6.57697	−	0.359049i	0.274517	−	0.0149864i
$575$	−23.6089	+	1.36335i	−0.984560	+	0.0568555i
$576$	9.66243	−	12.1814i	0.402601	−	0.507557i
$577$	0.862303	+	18.1020i	0.0358982	+	0.753595i	0.943022	+	0.332731i	$0.107970\pi$
$577$	0.862303	+	18.1020i	0.0358982	+	0.753595i	−0.907124	+	0.420864i	$0.861727\pi$
$578$	−2.95380	+	3.75606i	−0.122862	+	0.156232i
$579$	23.4933	+	12.8923i	0.976350	+	0.535786i
$580$	0.403698	+	1.37487i	0.0167626	+	0.0570883i
$581$	7.88286	+	0.320710i	0.327036	+	0.0133053i
$582$	4.10206	+	34.9290i	0.170036	+	1.44785i
$583$	3.70250	−	2.91168i	0.153342	−	0.120589i
$584$	−2.62134	−	2.74918i	−0.108472	−	0.113762i
$585$	0.771333	−	0.662725i	0.0318907	−	0.0274003i
$586$	−27.7434	−	1.32158i	−1.14607	−	0.0545940i
$587$	−12.2371	+	19.0414i	−0.505081	+	0.785921i	−0.996375	−	0.0850729i	$-0.972888\pi$
$587$	−12.2371	+	19.0414i	−0.505081	+	0.785921i	0.491294	+	0.870994i	$0.336524\pi$
$588$	−3.12318	+	20.0117i	−0.128798	+	0.825267i
$589$	1.66125	−	5.65768i	0.0684504	−	0.233121i
$590$	4.51154	−	3.54791i	0.185737	−	0.146065i
$591$	12.4754	−	28.9649i	0.513169	−	1.19146i
$592$	4.76374	−	49.8881i	0.195788	−	2.05039i
$593$	−19.5105	+	20.4621i	−0.801202	+	0.840277i	−0.989901	−	0.141758i	$-0.954724\pi$
$593$	−19.5105	+	20.4621i	−0.801202	+	0.840277i	0.188699	+	0.982035i	$0.439573\pi$
$594$	6.82284	−	8.99581i	0.279944	−	0.369103i
$595$	−2.51181	−	1.76252i	−0.102974	−	0.0722561i
$596$	−14.1318	+	9.08197i	−0.578862	+	0.372012i
$597$	32.1604	+	2.36790i	1.31624	+	0.0969115i
$598$	10.9627	−	4.51758i	0.448298	−	0.184737i
$599$	−32.1548	−	18.5646i	−1.31381	−	0.758529i	−0.331085	−	0.943601i	$-0.607415\pi$
$599$	−32.1548	−	18.5646i	−1.31381	−	0.758529i	−0.982725	+	0.185072i	$0.940748\pi$
$600$	4.73727	−	2.57387i	0.193398	−	0.105078i
$601$	−1.43464	+	9.97814i	−0.0585202	+	0.407017i	0.939415	+	0.342783i	$0.111369\pi$
$601$	−1.43464	+	9.97814i	−0.0585202	+	0.407017i	−0.997935	+	0.0642340i	$0.979540\pi$
$602$	4.49499	−	11.4577i	0.183202	−	0.466981i
$603$	27.3714	−	21.3401i	1.11465	−	0.869035i
$604$	0.129936	−	0.182470i	0.00528703	−	0.00742459i
$605$	2.50547	−	0.482890i	0.101862	−	0.0196323i
$606$	−26.1495	−	38.8107i	−1.06225	−	1.57658i
$607$	7.56954	+	31.2021i	0.307238	+	1.26645i	0.890804	+	0.454387i	$0.150142\pi$
$607$	7.56954	+	31.2021i	0.307238	+	1.26645i	−0.583566	+	0.812066i	$0.698343\pi$
$608$	15.6547	−	18.0665i	0.634881	−	0.732691i
$609$	−12.4331	−	8.32746i	−0.503814	−	0.337446i
$610$	2.19754	+	1.41228i	0.0889760	+	0.0571814i
$611$	−0.919028	+	4.76837i	−0.0371799	+	0.192908i
$612$	20.0888	+	9.27617i	0.812040	+	0.374967i
$613$	4.60451	−	11.5015i	0.185975	−	0.464542i	−0.805855	−	0.592113i	$-0.798294\pi$
$613$	4.60451	−	11.5015i	0.185975	−	0.464542i	0.991829	+	0.127571i	$0.0407181\pi$
$614$	15.1913	+	5.25775i	0.613070	+	0.212185i
$615$	0.582821	+	0.0992624i	0.0235016	+	0.00400265i
$616$	1.23045	−	1.44009i	0.0495764	−	0.0580228i
$617$	−5.53088	+	12.1109i	−0.222665	+	0.487568i	−0.987688	−	0.156435i	$-0.950000\pi$
$617$	−5.53088	+	12.1109i	−0.222665	+	0.487568i	0.765024	+	0.644002i	$0.222727\pi$
$618$	−59.7152	−	13.1213i	−2.40210	−	0.527818i
$619$	21.8114	−	1.03901i	0.876676	−	0.0417612i	0.395582	−	0.918431i	$-0.370543\pi$
$619$	21.8114	−	1.03901i	0.876676	−	0.0417612i	0.481093	+	0.876669i	$0.340240\pi$
$620$	−0.403478	+	0.698844i	−0.0162041	+	0.0280663i
$621$	14.8581	−	20.0059i	0.596234	−	0.802811i
$622$	−32.1587			−1.28945
$623$	−5.05411	+	3.65212i	−0.202489	+	0.146319i
$624$	−6.85732	+	7.51162i	−0.274512	+	0.300706i
$625$	−23.8612	+	2.27847i	−0.954449	+	0.0911388i
$626$	−0.0445806	+	0.183764i	−0.00178180	+	0.00734468i
$627$	4.02048	−	4.84863i	0.160563	−	0.193636i
$628$	19.8273	+	6.86230i	0.791196	+	0.273836i
$629$	48.1311	−	6.92021i	1.91911	−	0.275927i
$630$	−1.47440	+	3.71239i	−0.0587414	+	0.147905i
$631$	6.66227	+	5.77289i	0.265221	+	0.229815i	0.777311	−	0.629117i	$-0.216583\pi$
$631$	6.66227	+	5.77289i	0.265221	+	0.229815i	−0.512090	+	0.858932i	$0.671129\pi$
$632$	0.140387	−	2.94709i	0.00558430	−	0.117229i
$633$	−13.7521	−	1.67349i	−0.546595	−	0.0665154i
$634$	−10.9488	−	31.6345i	−0.434833	−	1.25637i
$635$	−0.581156	−	2.39556i	−0.0230625	−	0.0950648i
$636$	5.27326	−	10.7979i	0.209099	−	0.428163i
$637$	2.00767	−	8.80737i	0.0795468	−	0.348961i
$638$	−2.94753	−	6.45420i	−0.116694	−	0.255524i
$639$	24.5253	+	9.93790i	0.970206	+	0.393137i
$640$	1.06589	−	0.759018i	0.0421331	−	0.0300028i
$641$	1.64342	+	1.29240i	0.0649110	+	0.0510466i	0.650087	−	0.759859i	$-0.274732\pi$
$641$	1.64342	+	1.29240i	0.0649110	+	0.0510466i	−0.585176	+	0.810906i	$0.698975\pi$
$642$	45.5283	−	24.7367i	1.79686	−	0.976278i
$643$			24.2712i			0.957163i	0.878043	+	0.478581i	$0.158849\pi$
$643$			24.2712i			0.957163i	−0.878043	+	0.478581i	$0.841151\pi$
$644$	−13.6061	+	16.2531i	−0.536154	+	0.640463i
$645$	0.621125	−	0.913581i	0.0244568	−	0.0359722i
$646$	24.1078	+	12.4284i	0.948510	+	0.488991i
$647$	−30.7236	+	39.0682i	−1.20787	+	1.53593i	−0.436275	+	0.899813i	$0.643703\pi$
$647$	−30.7236	+	39.0682i	−1.20787	+	1.53593i	−0.771593	+	0.636116i	$0.780540\pi$
$648$	−1.12190	+	5.56937i	−0.0440724	+	0.218786i
$649$	−8.92591	+	9.36122i	−0.350373	+	0.367460i
$650$	11.0895	−	5.06441i	0.434966	−	0.198643i
$651$	−1.43772	−	8.30369i	−0.0563485	−	0.325447i
$652$	4.26123	+	29.6375i	0.166883	+	1.16069i
$653$	−10.0390	+	2.43543i	−0.392856	+	0.0953058i	−0.427321	−	0.904100i	$-0.640542\pi$
$653$	−10.0390	+	2.43543i	−0.392856	+	0.0953058i	0.0344648	+	0.999406i	$0.489027\pi$
$654$	3.89728	−	14.4239i	0.152396	−	0.564019i
$655$	0.215565	+	0.418137i	0.00842281	+	0.0163380i
$656$	−5.90634	−	0.281353i	−0.230604	−	0.0109850i
$657$	−17.0350	−	5.97594i	−0.664600	−	0.233143i
$658$	−5.50077	−	18.2642i	−0.214442	−	0.712012i
$659$	−2.93249	−	20.3959i	−0.114234	−	0.794513i	−0.963723	−	0.266906i	$-0.913999\pi$
$659$	−2.93249	−	20.3959i	−0.114234	−	0.794513i	0.849489	−	0.527607i	$-0.176910\pi$
$660$	−0.691141	+	0.515126i	−0.0269026	+	0.0200512i
$661$	−0.608898	+	6.37667i	−0.0236834	+	0.248024i	0.975876	+	0.218327i	$0.0700601\pi$
$661$	−0.608898	+	6.37667i	−0.0236834	+	0.248024i	−0.999559	+	0.0296962i	$0.990546\pi$
$662$	50.3365	+	12.2115i	1.95638	+	0.474614i
$663$	−8.65164	−	4.74771i	−0.336002	−	0.184386i
$664$	−1.86317	−	0.267883i	−0.0723049	−	0.0103959i
$665$	−0.911629	+	2.03340i	−0.0353514	+	0.0788520i
$666$	−23.2797	−	58.8636i	−0.902069	−	2.28092i
$667$	−6.64896	−	14.1791i	−0.257449	−	0.549016i
$668$	33.8512	+	19.5440i	1.30974	+	0.756180i
$669$	9.32399	−	15.2251i	0.360486	−	0.588636i
$670$	−5.40513	+	2.16389i	−0.208819	+	0.0835983i
$671$	−5.35497	−	2.44553i	−0.206726	−	0.0944088i
$672$	8.68268	−	33.0434i	0.334942	−	1.27468i
$673$	−6.41071	−	14.0375i	−0.247115	−	0.541106i	0.744908	−	0.667168i	$-0.232494\pi$
$673$	−6.41071	−	14.0375i	−0.247115	−	0.541106i	−0.992022	+	0.126062i	$0.959766\pi$
$674$	−12.5373	+	36.2241i	−0.482918	+	1.39530i
$675$	14.4946	−	21.1283i	0.557896	−	0.813230i
$676$	13.7037	−	13.0665i	0.527066	−	0.502557i
$677$	−3.20878	−	0.618441i	−0.123323	−	0.0237686i	0.127216	−	0.991875i	$-0.459396\pi$
$677$	−3.20878	−	0.618441i	−0.123323	−	0.0237686i	−0.250539	+	0.968106i	$0.580608\pi$
$678$	17.5159	−	7.45736i	0.672694	−	0.286398i
$679$	14.1884	+	24.1859i	0.544500	+	0.928171i
$680$	0.553293	+	0.479431i	0.0212178	+	0.0183853i
$681$	8.94714	−	23.8356i	0.342855	−	0.913381i
$682$	1.48510	−	3.70960i	0.0568675	−	0.142048i
$683$	6.90987	+	35.8518i	0.264399	+	1.37183i	0.834840	+	0.550493i	$0.185560\pi$
$683$	6.90987	+	35.8518i	0.264399	+	1.37183i	−0.570441	+	0.821338i	$0.693228\pi$
$684$	3.85385	−	15.6002i	0.147356	−	0.596487i
$685$	5.04125	−	1.48024i	0.192616	−	0.0565572i
$686$	9.08107	+	34.3004i	0.346717	+	1.30960i
$687$	5.76299	+	5.26100i	0.219872	+	0.200720i
$688$	−5.06293	+	9.82071i	−0.193022	+	0.374411i
$689$	−2.67974	+	4.64145i	−0.102090	+	0.176825i
$690$	−3.32642	+	2.53184i	−0.126635	+	0.0963855i
$691$	−9.32523	−	16.1518i	−0.354749	−	0.614443i	0.632326	−	0.774702i	$-0.282100\pi$
$691$	−9.32523	−	16.1518i	−0.354749	−	0.614443i	−0.987075	+	0.160260i	$0.948767\pi$
$692$	0.867559	+	1.34995i	0.0329796	+	0.0513173i
$693$	2.09826	−	8.75404i	0.0797063	−	0.332538i
$694$	5.90311	−	12.9260i	0.224079	−	0.490664i
$695$	−2.01298	−	1.91938i	−0.0763569	−	0.0728061i
$696$	2.74837	+	2.27895i	0.104177	+	0.0863833i
$697$	−1.08580	−	5.63367i	−0.0411276	−	0.213390i
$698$	42.0870	+	53.5180i	1.59302	+	2.02569i
$699$	17.5466	−	14.4260i	0.663673	−	0.545640i
$700$	−13.3529	+	17.2242i	−0.504692	+	0.651013i
$701$	35.3350	+	22.7085i	1.33459	+	0.857687i	0.996513	−	0.0834333i	$-0.0265886\pi$
$701$	35.3350	+	22.7085i	1.33459	+	0.857687i	0.338073	+	0.941120i	$0.390225\pi$
$702$	−3.40292	+	12.3879i	−0.128435	+	0.467550i
$703$	−11.5499	−	33.3711i	−0.435611	−	1.25862i
$704$	4.25410	−	4.05628i	0.160333	−	0.152877i
$705$	−0.118561	−	1.70798i	−0.00446525	−	0.0643263i
$706$	−24.8514	−	28.6800i	−0.935295	−	1.07939i
$707$	−31.5284	−	19.9544i	−1.18575	−	0.750461i
$708$	−10.1135	+	31.4106i	−0.380088	+	1.18048i
$709$	−1.65986	−	17.3829i	−0.0623374	−	0.652827i	−0.971604	−	0.236613i	$-0.923963\pi$
$709$	−1.65986	−	17.3829i	−0.0623374	−	0.652827i	0.909267	−	0.416214i	$-0.136643\pi$
$710$	−3.48936	−	2.74406i	−0.130953	−	0.102983i
$711$	−5.77139	−	12.7790i	−0.216444	−	0.479251i
$712$	1.28842	−	0.743869i	0.0482855	−	0.0278777i
$713$	3.19512	−	8.22029i	0.119658	−	0.307852i
$714$	38.7567	+	0.734815i	1.45043	+	0.0274998i
$715$	0.323421	−	0.207850i	0.0120953	−	0.00777315i
$716$	0.0214760	+	0.0536446i	0.000802597	+	0.00200479i
$717$	−47.2560	+	1.02583i	−1.76481	+	0.0383104i
$718$	20.6294	+	5.00463i	0.769881	+	0.186771i
$719$	−11.8916	−	8.46800i	−0.443484	−	0.315803i	0.336410	−	0.941716i	$-0.390787\pi$
$719$	−11.8916	−	8.46800i	−0.443484	−	0.315803i	−0.779893	+	0.625912i	$0.784727\pi$
$720$	1.65649	−	3.18035i	0.0617337	−	0.118525i
$721$	−47.8010	+	9.55731i	−1.78020	+	0.355933i
$722$	−4.70607	+	16.0274i	−0.175142	+	0.596478i
$723$	15.8380	−	15.7718i	0.589023	−	0.586560i
$724$	−10.9226	−	21.1869i	−0.405935	−	0.787404i
$725$	−7.37836	−	14.3120i	−0.274026	−	0.531535i
$726$	−22.8403	+	22.7448i	−0.847684	+	0.844140i
$727$	7.23761	−	24.6490i	0.268428	−	0.914183i	−0.709406	−	0.704800i	$-0.751037\pi$
$727$	7.23761	−	24.6490i	0.268428	−	0.914183i	0.977834	−	0.209382i	$-0.0671453\pi$
$728$	−0.690767	+	2.04156i	−0.0256015	+	0.0756652i
$729$	7.28049	+	25.9999i	0.269648	+	0.962959i
$730$	2.46685	+	1.75664i	0.0913022	+	0.0650160i
$731$	−10.4185	−	2.52750i	−0.385342	−	0.0934829i
$732$	−15.0152	+	0.325950i	−0.554978	+	0.0120475i
$733$	1.41258	+	3.52846i	0.0521749	+	0.130327i	0.952166	−	0.305582i	$-0.0988512\pi$
$733$	1.41258	+	3.52846i	0.0521749	+	0.130327i	−0.899991	+	0.435909i	$0.856427\pi$
$734$	−11.4581	+	7.36369i	−0.422927	+	0.271799i
$735$	0.113292	+	3.18279i	0.00417886	+	0.117399i
$736$	25.6271	−	24.9335i	0.944626	−	0.919060i
$737$	11.3631	−	6.56050i	0.418566	−	0.241659i
$738$	−6.80670	+	3.07411i	−0.250558	+	0.113159i
$739$	−31.8857	−	25.0752i	−1.17293	−	0.922406i	−0.174870	−	0.984591i	$-0.555951\pi$
$739$	−31.8857	−	25.0752i	−1.17293	−	0.922406i	−0.998065	+	0.0621852i	$0.980193\pi$
$740$	0.459379	+	4.81084i	0.0168871	+	0.176850i
$741$	−2.19652	+	6.82199i	−0.0806911	+	0.250612i
$742$	0.855768	−	21.0343i	0.0314162	−	0.772193i
$743$	29.5479	+	34.1001i	1.08401	+	1.25101i	0.966150	+	0.257982i	$0.0830576\pi$
$743$	29.5479	+	34.1001i	1.08401	+	1.25101i	0.117859	+	0.993030i	$0.462397\pi$
$744$	0.139236	+	2.00583i	0.00510463	+	0.0735372i
$745$	−1.91172	+	1.82282i	−0.0700400	+	0.0667830i
$746$	−16.0934	−	46.4987i	−0.589220	−	1.70244i
$747$	−8.46590	+	2.89041i	−0.309751	+	0.105754i
$748$	7.03716	+	4.52251i	0.257304	+	0.165359i
$749$	25.3114	−	32.6498i	0.924860	−	1.19300i
$750$	−6.68672	+	5.49750i	−0.244164	+	0.200740i
$751$	−2.92475	−	3.71912i	−0.106726	−	0.135713i	0.729756	−	0.683708i	$-0.239634\pi$
$751$	−2.92475	−	3.71912i	−0.106726	−	0.135713i	−0.836482	+	0.547995i	$0.815391\pi$
$752$	3.24064	+	16.8141i	0.118174	+	0.613146i
$753$	−26.2698	−	21.7829i	−0.957323	−	0.793812i
$754$	5.84299	+	5.57128i	0.212789	+	0.202894i
$755$	0.0146324	−	0.0320405i	0.000532528	−	0.00116607i
$756$	−4.89635	−	22.4377i	−0.178079	−	0.816053i
$757$	8.59902	+	13.3803i	0.312537	+	0.486316i	0.961614	−	0.274406i	$-0.0884812\pi$
$757$	8.59902	+	13.3803i	0.312537	+	0.486316i	−0.649077	+	0.760722i	$0.724845\pi$
$758$	−25.9284	−	44.9093i	−0.941761	−	1.63118i
$759$	6.60817	−	6.71459i	0.239861	−	0.243724i
$760$	0.265838	−	0.460445i	0.00964295	−	0.0167021i
$761$	−20.3390	+	39.4521i	−0.737287	+	1.43014i	0.159282	+	0.987233i	$0.449082\pi$
$761$	−20.3390	+	39.4521i	−0.737287	+	1.43014i	−0.896569	+	0.442904i	$0.853948\pi$
$762$	22.9985	+	20.9952i	0.833146	+	0.760574i
$763$	−1.77711	−	11.7794i	−0.0643359	−	0.426442i
$764$	−9.61256	+	2.82250i	−0.347770	+	0.102115i
$765$	3.37780	+	0.834449i	0.122125	+	0.0301696i
$766$	3.76823	+	19.5514i	0.136152	+	0.706422i
$767$	5.46993	−	13.6632i	0.197508	−	0.493351i
$768$	−12.1186	+	32.2844i	−0.437291	+	1.16496i
$769$	−24.0523	−	20.8414i	−0.867348	−	0.751561i	0.102639	−	0.994719i	$-0.467271\pi$
$769$	−24.0523	−	20.8414i	−0.867348	−	0.751561i	−0.969987	+	0.243158i	$0.921817\pi$
$770$	−0.745958	+	1.31299i	−0.0268825	+	0.0473169i
$771$	−6.65959	+	2.83531i	−0.239839	+	0.102111i
$772$	25.3791	+	4.89143i	0.913415	+	0.176046i
$773$	24.5568	−	23.4149i	0.883248	−	0.842175i	−0.105088	−	0.994463i	$-0.533513\pi$
$773$	24.5568	−	23.4149i	0.883248	−	0.842175i	0.988336	+	0.152288i	$0.0486641\pi$
$774$	−0.0584841	+	13.9557i	−0.00210217	+	0.501627i
$775$	2.96585	−	8.56925i	0.106536	−	0.307816i
$776$	−2.77920	−	6.08560i	−0.0997675	−	0.218460i
$777$	−35.8596	−	35.5139i	−1.28645	−	1.27406i
$778$	65.1380	+	29.7475i	2.33531	+	1.06650i
$779$	−3.86813	+	1.54857i	−0.138590	+	0.0554831i
$780$	0.512232	−	0.836421i	0.0183408	−	0.0299487i
$781$	8.66374	+	5.00201i	0.310013	+	0.178986i
$782$	34.3470	+	21.5873i	1.22825	+	0.771959i
$783$	16.5571	+	3.71093i	0.591702	+	0.132618i
$784$	−4.97017	−	31.4627i	−0.177506	−	1.12367i
$785$	3.26560	+	0.469523i	0.116554	+	0.0167580i
$786$	−5.20997	−	2.85904i	−0.185833	−	0.101979i
$787$	−13.3716	−	3.24391i	−0.476645	−	0.115633i	−0.00976299	−	0.999952i	$-0.503108\pi$
$787$	−13.3716	−	3.24391i	−0.476645	−	0.115633i	−0.466882	+	0.884319i	$0.654623\pi$
$788$	2.89131	−	30.2791i	0.102998	−	1.07865i
$789$	−5.62549	+	4.19283i	−0.200273	+	0.149269i
$790$	0.334751	+	2.32825i	0.0119099	+	0.0828353i
$791$	10.3979	−	11.0576i	0.369708	−	0.393165i
$792$	−0.710971	+	2.02670i	−0.0252633	+	0.0720155i
$793$	6.69082	+	0.318723i	0.237598	+	0.0113182i
$794$	31.8140	+	61.7106i	1.12904	+	2.19003i
$795$	0.492876	−	1.82414i	0.0174805	−	0.0646956i
$796$	30.2250	−	7.33251i	1.07130	−	0.259894i
$797$	3.05324	+	21.2358i	0.108151	+	0.752209i	0.969658	+	0.244464i	$0.0786119\pi$
$797$	3.05324	+	21.2358i	0.108151	+	0.752209i	−0.861507	+	0.507746i	$0.830479\pi$
$798$	−4.80267	−	27.7383i	−0.170013	−	0.981926i
$799$	−15.1133	+	6.90202i	−0.534670	+	0.244176i
$800$	25.3692	−	26.6065i	0.896938	−	0.940682i
$801$	3.84746	−	5.93196i	0.135943	−	0.209596i
$802$	−13.3975	+	17.0363i	−0.473083	+	0.601573i
$803$	−6.06615	−	3.12732i	−0.214070	−	0.110361i
$804$	18.8205	−	27.6822i	0.663749	−	0.976276i
$805$	−1.61714	+	2.91442i	−0.0569966	+	0.102720i
$806$			4.54660i			0.160147i
$807$	20.1099	−	10.9262i	0.707904	−	0.384621i
$808$	6.99774	+	5.50308i	0.246179	+	0.193598i
$809$	−29.4018	+	20.9369i	−1.03371	+	0.736102i	−0.965191	−	0.261547i	$-0.915767\pi$
$809$	−29.4018	+	20.9369i	−1.03371	+	0.736102i	−0.0685203	+	0.997650i	$0.521828\pi$
$810$	0.0379611	−	4.52913i	0.00133382	−	0.159137i
$811$	19.0876	+	41.7959i	0.670255	+	1.46765i	0.872648	+	0.488349i	$0.162401\pi$
$811$	19.0876	+	41.7959i	0.670255	+	1.46765i	−0.202394	+	0.979304i	$0.564872\pi$
$812$	−13.8758	−	3.96995i	−0.486946	−	0.139318i
$813$	13.6190	−	27.8870i	0.477638	−	0.978041i
$814$	−5.64180	−	23.2558i	−0.197745	−	0.815116i
$815$	1.53992	+	4.44929i	0.0539409	+	0.155852i
$816$	−34.5439	−	4.20366i	−1.20928	−	0.147158i
$817$	−0.370454	+	7.77678i	−0.0129605	+	0.272075i
$818$	−21.1613	−	18.3364i	−0.739887	−	0.641116i
$819$	1.48555	+	10.1345i	0.0519093	+	0.354128i
$820$	0.564405	−	0.0811492i	0.0197099	−	0.00283385i
$821$	−2.98683	−	1.03375i	−0.104241	−	0.0360782i	0.274450	−	0.961601i	$-0.411504\pi$
$821$	−2.98683	−	1.03375i	−0.104241	−	0.0360782i	−0.378691	+	0.925523i	$0.623626\pi$
$822$	−42.3666	+	51.0934i	−1.47771	+	1.78209i
$823$	3.56487	−	14.6946i	0.124263	−	0.512221i	−0.875325	−	0.483535i	$-0.839353\pi$
$823$	3.56487	−	14.6946i	0.124263	−	0.512221i	0.999588	−	0.0286860i	$-0.00913229\pi$
$824$	11.5779	−	1.10556i	0.403335	−	0.0385139i
$825$	6.53069	−	7.15382i	0.227369	−	0.249064i
$826$	5.89424	+	57.5080i	0.205087	+	2.00096i
$827$	−8.03136			−0.279278			−0.139639	−	0.990203i	$-0.544594\pi$
$827$	−8.03136			−0.279278			−0.139639	+	0.990203i	$0.544594\pi$
$828$	7.72695	−	22.7586i	0.268530	−	0.790914i
$829$	−25.6866	+	44.4906i	−0.892134	+	1.54522i	−0.0548220	+	0.998496i	$0.517459\pi$
$829$	−25.6866	+	44.4906i	−0.892134	+	1.54522i	−0.837312	+	0.546725i	$0.815874\pi$
$830$	1.49896	−	0.0714042i	0.0520296	−	0.00247848i
$831$	18.7712	+	4.12464i	0.651167	+	0.143082i
$832$	−2.77838	+	6.08380i	−0.0963229	+	0.210918i
$833$	28.5305	−	11.8838i	0.988522	−	0.411749i
$834$	34.6379	+	5.89931i	1.19941	+	0.204277i
$835$	5.80831	+	2.01028i	0.201005	+	0.0695685i
$836$	2.25782	−	5.63975i	0.0780882	−	0.195055i
$837$	4.92199	+	8.19044i	0.170129	+	0.283103i
$838$	8.27620	−	42.9410i	0.285897	−	1.48337i
$839$	32.0839	+	20.6191i	1.10766	+	0.711849i	0.960782	−	0.277306i	$-0.0894415\pi$
$839$	32.0839	+	20.6191i	1.10766	+	0.711849i	0.146877	+	0.989155i	$0.453078\pi$
$840$	0.0505371	−	0.758180i	0.00174369	−	0.0261597i
$841$	−12.0080	+	13.8580i	−0.414070	+	0.477862i
$842$	5.44698	+	22.4528i	0.187715	+	0.773773i
$843$	6.87174	+	10.1990i	0.236675	+	0.351271i
$844$	−13.1199	+	2.52864i	−0.451604	+	0.0870395i
$845$	1.72705	−	2.42530i	0.0594122	−	0.0834328i
$846$	13.2985	+	17.0570i	0.457212	+	0.586433i
$847$	−9.38599	+	23.9248i	−0.322507	+	0.822067i
$848$	−2.68952	+	18.7060i	−0.0923586	+	0.642368i
$849$	−48.0194	+	26.0901i	−1.64802	+	0.895409i
$850$	36.1228	+	20.8555i	1.23900	+	0.715337i
$851$	−12.9692	−	51.2009i	−0.444579	−	1.75514i
$852$	25.4532	+	1.87406i	0.872013	+	0.0642044i
$853$	−16.8680	+	10.8404i	−0.577550	+	0.371169i	−0.796565	−	0.604553i	$-0.793352\pi$
$853$	−16.8680	+	10.8404i	−0.577550	+	0.371169i	0.219015	+	0.975721i	$0.429716\pi$
$854$	−23.8568	+	11.0957i	−0.816363	+	0.379688i
$855$	0.130805	−	2.52339i	0.00447343	−	0.0862981i
$856$	−6.80184	+	7.13356i	−0.232482	+	0.243820i
$857$	−0.315633	+	3.30545i	−0.0107818	+	0.112912i	−0.999261	−	0.0384470i	$-0.987759\pi$
$857$	−0.315633	+	3.30545i	−0.0107818	+	0.112912i	0.988479	+	0.151359i	$0.0483650\pi$
$858$	−1.92119	+	4.46055i	−0.0655883	+	0.152281i
$859$	−16.3359	+	12.8467i	−0.557373	+	0.438323i	−0.856691	−	0.515831i	$-0.827483\pi$
$859$	−16.3359	+	12.8467i	−0.557373	+	0.438323i	0.299318	+	0.954154i	$0.403241\pi$
$860$	0.300180	−	1.02232i	0.0102361	−	0.0348608i
$861$	−3.98419	+	4.42563i	−0.135781	+	0.150825i
$862$	−18.9117	+	29.4271i	−0.644134	+	1.00229i
$863$	28.8508	+	1.37433i	0.982094	+	0.0467829i	0.532482	−	0.846441i	$-0.321259\pi$
$863$	28.8508	+	1.37433i	0.982094	+	0.0467829i	0.449612	+	0.893224i	$0.351562\pi$
$864$	4.35725	+	38.4938i	0.148237	+	1.30959i
$865$	0.174126	+	0.182618i	0.00592045	+	0.00620919i
$866$	−16.7345	+	13.1601i	−0.568661	+	0.447200i
$867$	−0.503871	−	4.29046i	−0.0171124	−	0.145712i
$868$	−3.77442	−	7.19829i	−0.128112	−	0.244326i
$869$	−1.49345	−	5.08621i	−0.0506617	−	0.172538i
$870$	−2.49535	−	1.36936i	−0.0846001	−	0.0464256i
$871$	−9.22884	+	11.7354i	−0.312707	+	0.397640i
$872$	0.135239	+	2.83902i	0.00457978	+	0.0961414i
$873$	−24.9099	−	19.7589i	−0.843073	−	0.668737i
$874$	10.6732	−	27.4597i	0.361028	−	0.928839i
$875$	−3.11998	+	6.15641i	−0.105475	+	0.208125i
$876$	−17.4056	−	0.450823i	−0.588080	−	0.0152319i
$877$	27.8371	−	11.1443i	0.939993	−	0.376317i	0.149482	−	0.988764i	$-0.452239\pi$
$877$	27.8371	−	11.1443i	0.939993	−	0.376317i	0.790511	+	0.612448i	$0.209815\pi$
$878$	10.5659	−	7.52395i	0.356582	−	0.253921i
$879$	18.6156	−	16.8516i	0.627889	−	0.568391i
$880$	0.786347	−	1.10427i	0.0265077	−	0.0372249i
$881$	22.9108	+	26.4405i	0.771886	+	0.890804i	0.996496	−	0.0836451i	$-0.0266562\pi$
$881$	22.9108	+	26.4405i	0.771886	+	0.890804i	−0.224610	+	0.974449i	$0.572111\pi$
$882$	−23.6538	−	32.5453i	−0.796463	−	1.09586i
$883$	12.0263	+	3.53123i	0.404716	+	0.118835i	0.477754	−	0.878494i	$-0.341451\pi$
$883$	12.0263	+	3.53123i	0.404716	+	0.118835i	−0.0730377	+	0.997329i	$0.523269\pi$
$884$	−9.34609	−	1.80131i	−0.314343	−	0.0605847i
$885$	−0.626808	+	5.15084i	−0.0210699	+	0.173144i
$886$	−12.4622	+	6.42471i	−0.418676	+	0.215843i
$887$	−6.43781	+	33.4025i	−0.216160	+	1.12155i	0.697970	+	0.716127i	$0.254087\pi$
$887$	−6.43781	+	33.4025i	−0.216160	+	1.12155i	−0.914130	+	0.405420i	$0.867125\pi$
$888$	7.64721	+	9.30145i	0.256623	+	0.312136i
$889$	23.5187	+	7.95761i	0.788791	+	0.266890i
$890$	−0.896378	+	0.776716i	−0.0300467	+	0.0260356i
$891$	1.36792	+	10.1152i	0.0458271	+	0.338873i
$892$	4.05953	−	16.7336i	0.135923	−	0.560283i
$893$	6.99897	+	9.82867i	0.234211	+	0.328904i
$894$	7.16143	−	32.5916i	0.239514	−	1.09003i
$895$	0.00491234	+	0.00764375i	0.000164202	+	0.000255503i
$896$	0.718436	+	13.1601i	0.0240013	+	0.439649i
$897$	−4.14087	+	9.88736i	−0.138260	+	0.330129i
$898$	13.6975	+	23.7248i	0.457092	+	0.791707i
$899$	5.99830	−	0.285734i	0.200054	−	0.00952977i
$900$	7.06145	−	23.6815i	0.235382	−	0.789384i
$901$	−18.2539	+	1.74303i	−0.608125	+	0.0580689i
$902$	−2.70915	+	0.795479i	−0.0902049	+	0.0264865i
$903$	4.42965	+	10.2073i	0.147410	+	0.339679i
$904$	−2.73691	+	2.37155i	−0.0910283	+	0.0788764i
$905$	−2.31697	−	2.94626i	−0.0770186	−	0.0979371i
$906$	0.0728703	+	0.438966i	0.00242095	+	0.0145837i
$907$	−30.9275	+	10.7041i	−1.02693	+	0.355425i	−0.788042	−	0.615622i	$-0.788905\pi$
$907$	−30.9275	+	10.7041i	−1.02693	+	0.355425i	−0.238891	+	0.971046i	$0.576784\pi$
$908$	1.16837	−	24.5271i	0.0387738	−	0.813962i
$909$	41.5098	+	8.18093i	1.37679	+	0.271344i
$910$	0.232726	−	1.70241i	0.00771480	−	0.0564344i
$911$	−35.8228	−	10.5185i	−1.18686	−	0.348494i	−0.372046	−	0.928214i	$-0.621343\pi$
$911$	−35.8228	−	10.5185i	−1.18686	−	0.348494i	−0.814815	+	0.579721i	$0.803162\pi$
$912$	1.75003	+	25.2109i	0.0579494	+	0.834817i
$913$	−3.32080	+	0.640031i	−0.109902	+	0.0211819i
$914$	58.4040	+	5.57691i	1.93183	+	0.184468i
$915$	−2.30869	+	0.497160i	−0.0763228	+	0.0164356i
$916$	6.84587	+	3.12640i	0.226194	+	0.103299i
$917$	−4.71985	−	0.417668i	−0.155863	−	0.0137926i
$918$	−41.2783	+	15.1011i	−1.36239	+	0.498411i
$919$	−0.0950729	+	0.0548904i	−0.00313616	+	0.00181067i	−0.501567	−	0.865119i	$-0.667243\pi$
$919$	−0.0950729	+	0.0548904i	−0.00313616	+	0.00181067i	0.498431	+	0.866929i	$0.333910\pi$
$920$	0.454720	−	0.652388i	0.0149917	−	0.0215086i
$921$	−13.0857	+	6.32276i	−0.431187	+	0.208342i
$922$	−20.7768	−	10.7112i	−0.684248	−	0.352755i
$923$	−11.2671	−	1.61996i	−0.370860	−	0.0533217i
$924$	−0.661308	−	8.65694i	−0.0217554	−	0.284793i
$925$	−15.2999	−	52.1068i	−0.503059	−	1.71326i
$926$	−20.9155	−	14.8938i	−0.687325	−	0.489442i
$927$	46.6243	−	29.6883i	1.53134	−	0.975091i
$928$	22.6016	+	9.04830i	0.741933	+	0.297025i
$929$	−35.1672	+	8.53146i	−1.15380	+	0.279908i	−0.766622	−	0.642098i	$-0.778064\pi$
$929$	−35.1672	+	8.53146i	−1.15380	+	0.279908i	−0.387175	+	0.922006i	$0.626549\pi$
$930$	−0.411632	−	1.54921i	−0.0134980	−	0.0508006i
$931$	−12.3955	−	18.7117i	−0.406246	−	0.613252i
$932$	11.8446	−	18.4305i	0.387982	−	0.603712i
$933$	20.6010	−	20.5149i	0.674447	−	0.671626i
$934$	43.0505	+	45.1501i	1.40866	+	1.47736i
$935$	1.22114	+	0.488870i	0.0399355	+	0.0159878i
$936$	−0.106051	−	2.44153i	−0.00346640	−	0.0798038i
$937$	−38.6326	+	17.6429i	−1.26207	+	0.576369i	−0.930234	−	0.366967i	$-0.880396\pi$
$937$	−38.6326	+	17.6429i	−1.26207	+	0.576369i	−0.331839	+	0.943336i	$0.607669\pi$
$938$	10.6984	−	57.6582i	0.349314	−	1.88261i
$939$	−0.0886692	−	0.146159i	−0.00289361	−	0.00476972i
$940$	−0.613712	−	1.53298i	−0.0200171	−	0.0500003i
$941$	−0.654939	−	13.7489i	−0.0213504	−	0.448200i	−0.984079	−	0.177731i	$-0.943124\pi$
$941$	−0.654939	−	13.7489i	−0.0213504	−	0.448200i	0.962729	−	0.270469i	$-0.0871788\pi$
$942$	−37.5269	+	18.1323i	−1.22269	+	0.590784i
$943$	−5.96150	+	1.81594i	−0.194133	+	0.0591352i
$944$		−	51.8962i		−	1.68908i
$945$	−1.42373	−	3.31873i	−0.0463138	−	0.107958i
$946$	−0.750849	+	5.22227i	−0.0244122	+	0.169791i
$947$	1.75979	+	18.4294i	0.0571855	+	0.598874i	0.977962	+	0.208783i	$0.0669503\pi$
$947$	1.75979	+	18.4294i	0.0571855	+	0.598874i	−0.920776	+	0.390091i	$0.872444\pi$
$948$	−9.07586	−	10.0259i	−0.294770	−	0.325626i
$949$	7.73038	+	0.738162i	0.250939	+	0.0239617i
$950$	9.90736	−	28.6254i	0.321437	−	0.928731i
$951$	27.1944	+	13.2807i	0.881838	+	0.430656i
$952$	−7.06070	+	2.12653i	−0.228839	+	0.0689211i
$953$	−3.64455	+	4.20603i	−0.118058	+	0.136247i	−0.811702	−	0.584071i	$-0.801459\pi$
$953$	−3.64455	+	4.20603i	−0.118058	+	0.136247i	0.693644	+	0.720318i	$0.256004\pi$
$954$	7.71263	+	22.5900i	0.249706	+	0.731379i
$955$	−1.40021	+	0.721858i	−0.0453097	+	0.0233588i
$956$	−43.0805	+	14.9103i	−1.39332	+	0.482233i
$957$	6.00551	+	2.25428i	0.194130	+	0.0728706i
$958$	−59.0263	+	8.48669i	−1.90705	+	0.274193i
$959$	−14.5567	+	50.8787i	−0.470060	+	1.64296i
$960$	0.395900	−	2.32454i	0.0127776	−	0.0750241i
$961$	−19.9882	−	19.0587i	−0.644781	−	0.614798i
$962$	15.7943	+	22.1800i	0.509228	+	0.715111i
$963$	−13.3855	+	44.8901i	−0.431343	+	1.44656i
$964$	9.87820	−	19.1610i	0.318155	−	0.617135i
$965$	4.06416			0.130830
$966$	−3.63025	−	41.9485i	−0.116801	−	1.34967i
$967$	−42.3290			−1.36121			−0.680605	−	0.732651i	$-0.738283\pi$
$967$	−42.3290			−1.36121			−0.680605	+	0.732651i	$0.738283\pi$
$968$	2.80974	−	5.45014i	0.0903086	−	0.175174i
$969$	−23.3720	+	7.41728i	−0.750817	+	0.238277i
$970$	3.09382	+	4.34466i	0.0993366	+	0.139499i
$971$	−4.17707	−	3.98283i	−0.134049	−	0.127815i	0.620089	−	0.784531i	$-0.287096\pi$
$971$	−4.17707	−	3.98283i	−0.134049	−	0.127815i	−0.754138	+	0.656716i	$0.771945\pi$
$972$	14.3693	+	21.7173i	0.460895	+	0.696584i
$973$	27.1785	−	6.79344i	0.871304	−	0.217788i
$974$	−58.1715	+	8.36381i	−1.86394	+	0.267994i
$975$	−3.87328	+	10.3186i	−0.124044	+	0.330459i
$976$	22.3206	−	7.72524i	0.714465	−	0.247279i
$977$	10.3476	−	5.33456i	0.331049	−	0.170668i	−0.284686	−	0.958621i	$-0.591889\pi$
$977$	10.3476	−	5.33456i	0.331049	−	0.170668i	0.615735	+	0.787953i	$0.288859\pi$
$978$	−47.5401	−	35.7437i	−1.52016	−	1.14296i
$979$	1.75042	−	2.02010i	0.0559437	−	0.0645625i
$980$	1.04482	+	2.88850i	0.0333755	+	0.0922696i
$981$	6.70476	+	11.7262i	0.214067	+	0.374389i
$982$	18.9954	−	54.8836i	0.606168	−	1.75141i
$983$	48.6249	+	4.64312i	1.55089	+	0.148093i	0.835053	−	0.550170i	$-0.185437\pi$
$983$	48.6249	+	4.64312i	1.55089	+	0.148093i	0.715842	+	0.698262i	$0.246043\pi$
$984$	1.05329	−	0.953485i	0.0335778	−	0.0303960i
$985$	−0.454641	−	4.76121i	−0.0144861	−	0.151705i
$986$	−3.93106	+	27.3412i	−0.125191	+	0.870720i
$987$	15.1750	+	8.19104i	0.483026	+	0.260724i
$988$			6.91225i			0.219908i
$989$	−1.54093	+	11.5425i	−0.0489989	+	0.367029i
$990$	0.250785	−	1.69383i	0.00797046	−	0.0538333i
$991$	−1.70057	−	35.6993i	−0.0540203	−	1.13403i	−0.849344	−	0.527840i	$-0.823002\pi$
$991$	−1.70057	−	35.6993i	−0.0540203	−	1.13403i	0.795323	−	0.606186i	$-0.207301\pi$
$992$	5.09563	+	12.7283i	0.161786	+	0.404123i
$993$	−40.0359	+	24.2882i	−1.27050	+	0.770763i
$994$	42.1499	−	14.9165i	1.33691	−	0.473122i
$995$	4.44861	−	2.03161i	0.141030	−	0.0644064i
$996$	−6.91780	+	5.15602i	−0.219199	+	0.163375i
$997$	11.6594	+	4.66774i	0.369258	+	0.147829i	0.548868	−	0.835909i	$-0.315059\pi$
$997$	11.6594	+	4.66774i	0.369258	+	0.147829i	−0.179609	+	0.983738i	$0.557483\pi$
$998$	34.6092	+	36.2971i	1.09554	+	1.14896i
$999$	52.4637	+	22.8576i	1.65988	+	0.723182i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bc.a.11.11	✓	1200
3.2	odd	2	inner	483.2.bc.a.11.50	yes	1200
7.2	even	3	inner	483.2.bc.a.149.50	yes	1200
21.2	odd	6	inner	483.2.bc.a.149.11	yes	1200
23.21	odd	22	inner	483.2.bc.a.389.11	yes	1200
69.44	even	22	inner	483.2.bc.a.389.50	yes	1200
161.44	odd	66	inner	483.2.bc.a.44.50	yes	1200
483.44	even	66	inner	483.2.bc.a.44.11	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bc.a.11.11	✓	1200	1.1	even	1	trivial
483.2.bc.a.11.50	yes	1200	3.2	odd	2	inner
483.2.bc.a.44.11	yes	1200	483.44	even	66	inner
483.2.bc.a.44.50	yes	1200	161.44	odd	66	inner
483.2.bc.a.149.11	yes	1200	21.2	odd	6	inner
483.2.bc.a.149.50	yes	1200	7.2	even	3	inner
483.2.bc.a.389.11	yes	1200	23.21	odd	22	inner
483.2.bc.a.389.50	yes	1200	69.44	even	22	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.bc (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.877897 + 1.70288i) q^{2} +(-0.523928 - 1.65091i) q^{3} +(-0.968993 - 1.36076i) q^{4} +(-0.190109 - 0.181269i) q^{5} +(3.27126 + 0.557140i) q^{6} +(2.56678 - 0.641583i) q^{7} +(-0.624824 + 0.0898362i) q^{8} +(-2.45100 + 1.72991i) q^{9} +O(q^{10})\)	\(q+(-0.877897 + 1.70288i) q^{2} +(-0.523928 - 1.65091i) q^{3} +(-0.968993 - 1.36076i) q^{4} +(-0.190109 - 0.181269i) q^{5} +(3.27126 + 0.557140i) q^{6} +(2.56678 - 0.641583i) q^{7} +(-0.624824 + 0.0898362i) q^{8} +(-2.45100 + 1.72991i) q^{9} +(0.475576 - 0.164598i) q^{10} +(-1.00807 + 0.519695i) q^{11} +(-1.73881 + 2.31266i) q^{12} +(0.845079 - 0.975273i) q^{13} +(-1.16083 + 4.93417i) q^{14} +(-0.199655 + 0.408825i) q^{15} +(1.48829 - 4.30014i) q^{16} +(4.39522 + 0.419693i) q^{17} +(-0.794117 - 5.69245i) q^{18} +(-0.304790 - 3.19191i) q^{19} +(-0.0624489 + 0.434341i) q^{20} +(-2.40400 - 3.90138i) q^{21} -2.17286i q^{22} +(-0.0483562 - 4.79559i) q^{23} +(0.475674 + 0.984460i) q^{24} +(-0.234626 - 4.92541i) q^{25} +(0.918883 + 2.29526i) q^{26} +(4.14008 + 3.14002i) q^{27} +(-3.36023 - 2.87109i) q^{28} +(2.97037 - 1.35652i) q^{29} +(-0.520905 - 0.698895i) q^{30} +(1.70724 + 0.683477i) q^{31} +(5.14485 + 5.39576i) q^{32} +(1.38612 + 1.39195i) q^{33} +(-4.57324 + 7.11610i) q^{34} +(-0.604268 - 0.343307i) q^{35} +(4.72900 + 1.65895i) q^{36} +(10.7029 - 2.59648i) q^{37} +(5.70302 + 2.28314i) q^{38} +(-2.05285 - 0.884175i) q^{39} +(0.135069 + 0.0961825i) q^{40} +(-0.366097 - 1.24681i) q^{41} +(8.75406 - 0.668726i) q^{42} +(-2.40341 - 0.345558i) q^{43} +(1.68399 + 0.868158i) q^{44} +(0.779537 + 0.115417i) q^{45} +(8.20878 + 4.12769i) q^{46} +(-3.25891 + 1.88153i) q^{47} +(-7.87890 - 0.204072i) q^{48} +(6.17674 - 3.29361i) q^{49} +(8.59338 + 3.92447i) q^{50} +(-1.60991 - 7.47600i) q^{51} +(-2.14599 - 0.204917i) q^{52} +(-4.07807 + 0.785983i) q^{53} +(-8.98166 + 4.29345i) q^{54} +(0.285848 + 0.0839324i) q^{55} +(-1.54615 + 0.631466i) q^{56} +(-5.10986 + 2.17551i) q^{57} +(-0.297680 + 6.24908i) q^{58} +(10.7775 - 3.73012i) q^{59} +(0.749777 - 0.124466i) q^{60} +(3.20866 + 4.08014i) q^{61} +(-2.66267 + 2.30721i) q^{62} +(-5.18130 + 6.01283i) q^{63} +(-4.97282 + 1.46015i) q^{64} +(-0.337444 + 0.0322220i) q^{65} +(-3.58719 + 1.13842i) q^{66} +(-11.5560 + 0.550479i) q^{67} +(-3.68784 - 6.38752i) q^{68} +(-7.89174 + 2.59237i) q^{69} +(1.11510 - 0.727610i) q^{70} +(-4.76886 - 7.42050i) q^{71} +(1.37603 - 1.30108i) q^{72} +(3.49055 + 4.90179i) q^{73} +(-4.97450 + 20.5052i) q^{74} +(-8.00848 + 2.96791i) q^{75} +(-4.04808 + 3.50768i) q^{76} +(-2.25406 + 1.98070i) q^{77} +(3.30784 - 2.71954i) q^{78} +(-0.884552 + 4.58949i) q^{79} +(-1.06242 + 0.547716i) q^{80} +(3.01479 - 8.48004i) q^{81} +(2.44457 + 0.471153i) q^{82} +(2.86112 + 0.840100i) q^{83} +(-2.97938 + 7.05168i) q^{84} +(-0.759495 - 0.876504i) q^{85} +(2.69839 - 3.78936i) q^{86} +(-3.79575 - 4.19309i) q^{87} +(0.583178 - 0.415279i) q^{88} +(-2.18799 + 0.875940i) q^{89} +(-0.880895 + 1.22614i) q^{90} +(1.54342 - 3.04550i) q^{91} +(-6.47879 + 4.71269i) q^{92} +(0.233886 - 3.17660i) q^{93} +(-0.343042 - 7.20134i) q^{94} +(-0.520650 + 0.662060i) q^{95} +(6.21238 - 11.3207i) q^{96} +(2.98589 + 10.1690i) q^{97} +(0.186081 + 13.4097i) q^{98} +(1.57175 - 3.01764i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28} - 55 q^{30} - 18 q^{31} - 11 q^{33} - 88 q^{34} - 108 q^{36} - 66 q^{37} + q^{39} - 22 q^{40} - 22 q^{42} - 2 q^{46} - 228 q^{48} - 128 q^{49} - 11 q^{51} - 166 q^{52} + 35 q^{54} - 160 q^{55} - 44 q^{57} - 126 q^{58} - 11 q^{60} + 66 q^{61} + 33 q^{63} + 40 q^{64} + 22 q^{66} - 22 q^{67} - 24 q^{69} + 68 q^{70} - 149 q^{72} - 42 q^{73} + 123 q^{75} - 88 q^{76} - 108 q^{78} - 66 q^{79} - 81 q^{81} - 14 q^{82} + 44 q^{84} - 200 q^{85} + 75 q^{87} + 66 q^{88} + 16 q^{93} - 146 q^{94} + 5 q^{96} - 88 q^{97} - 308 q^{99}+O(q^{100}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

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