LMFDB - Embedded newform 525.2.bs.a.2.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(2,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([30, 3, 20]))

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

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

chi := DirichletCharacter("525.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bs (of order $60$, degree $16$, 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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$1216$
Relative dimension:	$76$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			2.19
Character	$\chi$	$=$	525.2
Dual form			525.2.bs.a.263.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.27995 - 1.03648i) q^{2} +(-0.162421 - 1.72442i) q^{3} +(0.148148 + 0.696980i) q^{4} +(0.135304 - 2.23197i) q^{5} +(-1.57943 + 2.37551i) q^{6} +(1.74728 - 1.98671i) q^{7} +(-0.962644 + 1.88930i) q^{8} +(-2.94724 + 0.560165i) q^{9} +O(q^{10})$	\(q+(-1.27995 - 1.03648i) q^{2} +(-0.162421 - 1.72442i) q^{3} +(0.148148 + 0.696980i) q^{4} +(0.135304 - 2.23197i) q^{5} +(-1.57943 + 2.37551i) q^{6} +(1.74728 - 1.98671i) q^{7} +(-0.962644 + 1.88930i) q^{8} +(-2.94724 + 0.560165i) q^{9} +(-2.48657 + 2.71656i) q^{10} +(-1.12548 + 2.52786i) q^{11} +(1.17782 - 0.368673i) q^{12} +(-5.23590 + 0.829285i) q^{13} +(-4.29561 + 0.731857i) q^{14} +(-3.87083 + 0.129200i) q^{15} +(4.49224 - 2.00008i) q^{16} +(-0.185812 - 3.54550i) q^{17} +(4.35290 + 2.33777i) q^{18} +(-0.282777 + 1.33036i) q^{19} +(1.57568 - 0.236357i) q^{20} +(-3.70971 - 2.69036i) q^{21} +(4.06062 - 2.06899i) q^{22} +(4.12017 - 5.08799i) q^{23} +(3.41429 + 1.35314i) q^{24} +(-4.96339 - 0.603987i) q^{25} +(7.56121 + 4.36546i) q^{26} +(1.44465 + 4.99129i) q^{27} +(1.64355 + 0.923494i) q^{28} +(1.75748 - 5.40895i) q^{29} +(5.08836 + 3.84667i) q^{30} +(-7.09568 + 7.88055i) q^{31} +(-3.72656 - 0.998528i) q^{32} +(4.54189 + 1.53021i) q^{33} +(-3.43701 + 4.73064i) q^{34} +(-4.19786 - 4.16869i) q^{35} +(-0.827050 - 1.97118i) q^{36} +(0.892161 + 0.342468i) q^{37} +(1.74083 - 1.40970i) q^{38} +(2.28046 + 8.89419i) q^{39} +(4.08660 + 2.40422i) q^{40} +(-4.28822 + 5.90223i) q^{41} +(1.95973 + 7.28856i) q^{42} +(6.34937 - 6.34937i) q^{43} +(-1.92861 - 0.409938i) q^{44} +(0.851500 + 6.65394i) q^{45} +(-10.5472 + 2.24188i) q^{46} +(-4.09718 - 0.214724i) q^{47} +(-4.17860 - 7.42165i) q^{48} +(-0.894018 - 6.94267i) q^{49} +(5.72684 + 5.91752i) q^{50} +(-6.08375 + 0.896283i) q^{51} +(-1.35368 - 3.52646i) q^{52} +(9.44020 + 6.13054i) q^{53} +(3.32429 - 7.88593i) q^{54} +(5.48983 + 2.85406i) q^{55} +(2.07147 + 5.21362i) q^{56} +(2.34003 + 0.271547i) q^{57} +(-7.85574 + 5.10158i) q^{58} +(0.539533 - 5.13331i) q^{59} +(-0.663504 - 2.67875i) q^{60} +(-0.370476 - 3.52484i) q^{61} +(17.2501 - 2.73215i) q^{62} +(-4.03677 + 6.83407i) q^{63} +(-2.04588 - 2.81592i) q^{64} +(1.14250 + 11.7986i) q^{65} +(-4.22734 - 6.66617i) q^{66} +(-4.03087 + 0.211249i) q^{67} +(2.44362 - 0.654765i) q^{68} +(-9.44303 - 6.27851i) q^{69} +(1.05227 + 9.68669i) q^{70} +(-1.27983 - 0.415842i) q^{71} +(1.77882 - 6.10744i) q^{72} +(-1.27675 + 0.490100i) q^{73} +(-0.786956 - 1.36305i) q^{74} +(-0.235367 + 8.65706i) q^{75} -0.969129 q^{76} +(3.05560 + 6.65288i) q^{77} +(6.29978 - 13.7477i) q^{78} +(5.17107 - 4.65605i) q^{79} +(-3.85629 - 10.2972i) q^{80} +(8.37243 - 3.30188i) q^{81} +(11.6062 - 3.10988i) q^{82} +(-0.702942 + 1.37960i) q^{83} +(1.32554 - 2.98417i) q^{84} +(-7.93860 - 0.0649925i) q^{85} +(-14.7078 + 1.54586i) q^{86} +(-9.61275 - 2.15209i) q^{87} +(-3.69244 - 4.55979i) q^{88} +(0.00144505 + 0.0137487i) q^{89} +(5.80680 - 9.39925i) q^{90} +(-7.50104 + 11.8512i) q^{91} +(4.15662 + 2.11791i) q^{92} +(14.7419 + 10.9559i) q^{93} +(5.02161 + 4.52148i) q^{94} +(2.93107 + 0.811154i) q^{95} +(-1.11661 + 6.58833i) q^{96} +(6.41797 - 3.27012i) q^{97} +(-6.05165 + 9.81288i) q^{98} +(1.90103 - 8.08066i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9}+O(q^{10}) $ 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9	$ 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9} - 12 q^{10} - 64 q^{13} - 44 q^{15} - 140 q^{16} - 24 q^{18} - 20 q^{19} - 12 q^{21} + 8 q^{22} - 24 q^{25} - 80 q^{27} - 40 q^{28} - 50 q^{30} - 12 q^{31} - 6 q^{33} - 80 q^{34} + 8 q^{36} - 24 q^{37} - 50 q^{39} - 4 q^{40} - 34 q^{42} - 96 q^{43} + 30 q^{45} - 12 q^{46} - 44 q^{48} - 16 q^{51} - 136 q^{52} - 10 q^{54} - 40 q^{55} - 112 q^{57} - 76 q^{58} - 60 q^{60} - 12 q^{61} - 14 q^{63} - 80 q^{64} - 30 q^{66} - 32 q^{67} + 100 q^{69} - 100 q^{70} + 24 q^{72} - 72 q^{73} - 96 q^{75} - 64 q^{76} + 20 q^{78} - 20 q^{79} - 6 q^{81} - 204 q^{82} + 100 q^{84} - 56 q^{85} + 36 q^{87} - 140 q^{88} + 164 q^{90} - 24 q^{91} + 34 q^{93} - 20 q^{94} - 30 q^{96} - 240 q^{97}+O(q^{100}) $ 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9 - 12 * q^10 - 64 * q^13 - 44 * q^15 - 140 * q^16 - 24 * q^18 - 20 * q^19 - 12 * q^21 + 8 * q^22 - 24 * q^25 - 80 * q^27 - 40 * q^28 - 50 * q^30 - 12 * q^31 - 6 * q^33 - 80 * q^34 + 8 * q^36 - 24 * q^37 - 50 * q^39 - 4 * q^40 - 34 * q^42 - 96 * q^43 + 30 * q^45 - 12 * q^46 - 44 * q^48 - 16 * q^51 - 136 * q^52 - 10 * q^54 - 40 * q^55 - 112 * q^57 - 76 * q^58 - 60 * q^60 - 12 * q^61 - 14 * q^63 - 80 * q^64 - 30 * q^66 - 32 * q^67 + 100 * q^69 - 100 * q^70 + 24 * q^72 - 72 * q^73 - 96 * q^75 - 64 * q^76 + 20 * q^78 - 20 * q^79 - 6 * q^81 - 204 * q^82 + 100 * q^84 - 56 * q^85 + 36 * q^87 - 140 * q^88 + 164 * q^90 - 24 * q^91 + 34 * q^93 - 20 * q^94 - 30 * q^96 - 240 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{1}{20}\right)$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−1.27995	−	1.03648i	−0.905058	−	0.732902i	0.0590937	−	0.998252i	$-0.481179\pi$
$2$	−1.27995	−	1.03648i	−0.905058	−	0.732902i	−0.964152	+	0.265351i	$0.914512\pi$
$3$	−0.162421	−	1.72442i	−0.0937741	−	0.995594i
$3$	−0.162421	−	1.72442i	−0.0937741	−	0.995594i
$4$	0.148148	+	0.696980i	0.0740738	+	0.348490i
$5$	0.135304	−	2.23197i	0.0605096	−	0.998168i
$5$	0.135304	−	2.23197i	0.0605096	−	0.998168i
$6$	−1.57943	+	2.37551i	−0.644801	+	0.969797i
$7$	1.74728	−	1.98671i	0.660410	−	0.750905i
$7$	1.74728	−	1.98671i	0.660410	−	0.750905i
$8$	−0.962644	+	1.88930i	−0.340346	+	0.667967i
$9$	−2.94724	+	0.560165i	−0.982413	+	0.186722i
$10$	−2.48657	+	2.71656i	−0.786324	+	0.859052i
$11$	−1.12548	+	2.52786i	−0.339344	+	0.762179i	0.660591	+	0.750746i	$0.270306\pi$
$11$	−1.12548	+	2.52786i	−0.339344	+	0.762179i	−0.999935	+	0.0114326i	$0.996361\pi$
$12$	1.17782	−	0.368673i	0.340008	−	0.106427i
$13$	−5.23590	+	0.829285i	−1.45218	+	0.230002i	−0.832138	−	0.554568i	$-0.812883\pi$
$13$	−5.23590	+	0.829285i	−1.45218	+	0.230002i	−0.620039	+	0.784571i	$0.712883\pi$
$14$	−4.29561	+	0.731857i	−1.14805	+	0.195597i
$15$	−3.87083	+	0.129200i	−0.999443	+	0.0333593i
$16$	4.49224	−	2.00008i	1.12306	−	0.500019i
$17$	−0.185812	−	3.54550i	−0.0450660	−	0.859911i	−0.923865	−	0.382719i	$-0.874988\pi$
$17$	−0.185812	−	3.54550i	−0.0450660	−	0.859911i	0.878799	−	0.477192i	$-0.158345\pi$
$18$	4.35290	+	2.33777i	1.02599	+	0.551018i
$19$	−0.282777	+	1.33036i	−0.0648736	+	0.305206i	−0.998607	−	0.0527627i	$-0.983197\pi$
$19$	−0.282777	+	1.33036i	−0.0648736	+	0.305206i	0.933733	+	0.357969i	$0.116531\pi$
$20$	1.57568	−	0.236357i	0.352334	−	0.0528511i
$21$	−3.70971	−	2.69036i	−0.809526	−	0.587085i
$22$	4.06062	−	2.06899i	0.865728	−	0.441110i
$23$	4.12017	−	5.08799i	0.859116	−	1.06092i	−0.138393	−	0.990377i	$-0.544194\pi$
$23$	4.12017	−	5.08799i	0.859116	−	1.06092i	0.997509	−	0.0705423i	$-0.0224730\pi$
$24$	3.41429	+	1.35314i	0.696939	+	0.276208i
$25$	−4.96339	−	0.603987i	−0.992677	−	0.120797i
$26$	7.56121	+	4.36546i	1.48287	+	0.856138i
$27$	1.44465	+	4.99129i	0.278024	+	0.960574i
$28$	1.64355	+	0.923494i	0.310602	+	0.174524i
$29$	1.75748	−	5.40895i	0.326355	−	1.00442i	−0.644470	−	0.764629i	$-0.722922\pi$
$29$	1.75748	−	5.40895i	0.326355	−	1.00442i	0.970825	−	0.239788i	$-0.0770780\pi$
$30$	5.08836	+	3.84667i	0.929004	+	0.702302i
$31$	−7.09568	+	7.88055i	−1.27442	+	1.41539i	−0.410422	+	0.911896i	$0.634619\pi$
$31$	−7.09568	+	7.88055i	−1.27442	+	1.41539i	−0.863999	+	0.503493i	$0.832048\pi$
$32$	−3.72656	−	0.998528i	−0.658768	−	0.176516i
$33$	4.54189	+	1.53021i	0.790642	+	0.266376i
$34$	−3.43701	+	4.73064i	−0.589443	+	0.811299i
$35$	−4.19786	−	4.16869i	−0.709568	−	0.704637i
$36$	−0.827050	−	1.97118i	−0.137842	−	0.328530i
$37$	0.892161	+	0.342468i	0.146670	+	0.0563014i	0.430596	−	0.902545i	$-0.358303\pi$
$37$	0.892161	+	0.342468i	0.146670	+	0.0563014i	−0.283925	+	0.958846i	$0.591637\pi$
$38$	1.74083	−	1.40970i	0.282401	−	0.228683i
$39$	2.28046	+	8.89419i	0.365165	+	1.42421i
$40$	4.08660	+	2.40422i	0.646149	+	0.380141i
$41$	−4.28822	+	5.90223i	−0.669708	+	0.921774i	−0.999754	−	0.0221911i	$-0.992936\pi$
$41$	−4.28822	+	5.90223i	−0.669708	+	0.921774i	0.330046	+	0.943965i	$0.392936\pi$
$42$	1.95973	+	7.28856i	0.302392	+	1.12465i
$43$	6.34937	−	6.34937i	0.968270	−	0.968270i	−0.0312415	−	0.999512i	$-0.509946\pi$
$43$	6.34937	−	6.34937i	0.968270	−	0.968270i	0.999512	+	0.0312415i	$0.00994609\pi$
$44$	−1.92861	−	0.409938i	−0.290748	−	0.0618004i
$45$	0.851500	+	6.65394i	0.126934	+	0.991911i
$46$	−10.5472	+	2.24188i	−1.55510	+	0.330547i
$47$	−4.09718	−	0.214724i	−0.597636	−	0.0313208i	−0.248880	−	0.968534i	$-0.580062\pi$
$47$	−4.09718	−	0.214724i	−0.597636	−	0.0313208i	−0.348756	+	0.937214i	$0.613396\pi$
$48$	−4.17860	−	7.42165i	−0.603130	−	1.07122i
$49$	−0.894018	−	6.94267i	−0.127717	−	0.991811i
$50$	5.72684	+	5.91752i	0.809898	+	0.836864i
$51$	−6.08375	+	0.896283i	−0.851896	+	0.125505i
$52$	−1.35368	−	3.52646i	−0.187722	−	0.489032i
$53$	9.44020	+	6.13054i	1.29671	+	0.842094i	0.993828	−	0.110933i	$-0.0353840\pi$
$53$	9.44020	+	6.13054i	1.29671	+	0.842094i	0.302884	+	0.953028i	$0.402051\pi$
$54$	3.32429	−	7.88593i	0.452379	−	1.07314i
$55$	5.48983	+	2.85406i	0.740249	+	0.384841i
$56$	2.07147	+	5.21362i	0.276812	+	0.696700i
$57$	2.34003	+	0.271547i	0.309945	+	0.0359673i
$58$	−7.85574	+	5.10158i	−1.03151	+	0.669870i
$59$	0.539533	−	5.13331i	0.0702412	−	0.668300i	−0.901585	−	0.432602i	$-0.857596\pi$
$59$	0.539533	−	5.13331i	0.0702412	−	0.668300i	0.971826	−	0.235698i	$-0.0757377\pi$
$60$	−0.663504	−	2.67875i	−0.0856580	−	0.345825i
$61$	−0.370476	−	3.52484i	−0.0474346	−	0.451310i	−0.992301	−	0.123853i	$-0.960475\pi$
$61$	−0.370476	−	3.52484i	−0.0474346	−	0.451310i	0.944866	−	0.327457i	$-0.106192\pi$
$62$	17.2501	−	2.73215i	2.19077	−	0.346983i
$63$	−4.03677	+	6.83407i	−0.508585	+	0.861012i
$64$	−2.04588	−	2.81592i	−0.255735	−	0.351989i
$65$	1.14250	+	11.7986i	0.141710	+	1.46343i
$66$	−4.22734	−	6.66617i	−0.520350	−	0.820549i
$67$	−4.03087	+	0.211249i	−0.492450	+	0.0258082i	−0.296945	−	0.954895i	$-0.595968\pi$
$67$	−4.03087	+	0.211249i	−0.492450	+	0.0258082i	−0.195505	+	0.980703i	$0.562634\pi$
$68$	2.44362	−	0.654765i	0.296332	−	0.0794020i
$69$	−9.44303	−	6.27851i	−1.13681	−	0.755843i
$70$	1.05227	+	9.68669i	0.125771	+	1.15778i
$71$	−1.27983	−	0.415842i	−0.151888	−	0.0493513i	0.232086	−	0.972695i	$-0.425445\pi$
$71$	−1.27983	−	0.415842i	−0.151888	−	0.0493513i	−0.383974	+	0.923344i	$0.625445\pi$
$72$	1.77882	−	6.10744i	0.209636	−	0.719769i
$73$	−1.27675	+	0.490100i	−0.149433	+	0.0573619i	−0.431935	−	0.901905i	$-0.642169\pi$
$73$	−1.27675	+	0.490100i	−0.149433	+	0.0573619i	0.282502	+	0.959267i	$0.408836\pi$
$74$	−0.786956	−	1.36305i	−0.0914817	−	0.158451i
$75$	−0.235367	+	8.65706i	−0.0271778	+	0.999631i
$76$	−0.969129			−0.111167
$77$	3.05560	+	6.65288i	0.348218	+	0.758166i
$78$	6.29978	−	13.7477i	0.713310	−	1.55662i
$79$	5.17107	−	4.65605i	0.581791	−	0.523847i	−0.324842	−	0.945768i	$-0.605311\pi$
$79$	5.17107	−	4.65605i	0.581791	−	0.523847i	0.906632	+	0.421922i	$0.138644\pi$
$80$	−3.85629	−	10.2972i	−0.431147	−	1.15126i
$81$	8.37243	−	3.30188i	0.930270	−	0.366876i
$82$	11.6062	−	3.10988i	1.28169	−	0.343429i
$83$	−0.702942	+	1.37960i	−0.0771579	+	0.151431i	−0.926363	−	0.376633i	$-0.877082\pi$
$83$	−0.702942	+	1.37960i	−0.0771579	+	0.151431i	0.849205	+	0.528064i	$0.177082\pi$
$84$	1.32554	−	2.98417i	0.144628	−	0.325599i
$85$	−7.93860	−	0.0649925i	−0.861062	−	0.00704943i
$86$	−14.7078	+	1.54586i	−1.58599	+	0.166694i
$87$	−9.61275	−	2.15209i	−1.03060	−	0.230729i
$88$	−3.69244	−	4.55979i	−0.393616	−	0.486075i
$89$	0.00144505	+	0.0137487i	0.000153175	+	0.00145736i	0.994598	−	0.103800i	$-0.0331001\pi$
$89$	0.00144505	+	0.0137487i	0.000153175	+	0.00145736i	−0.994445	+	0.105257i	$0.966433\pi$
$90$	5.80680	−	9.39925i	0.612091	−	0.990768i
$91$	−7.50104	+	11.8512i	−0.786323	+	1.24234i
$92$	4.15662	+	2.11791i	0.433358	+	0.220807i
$93$	14.7419	+	10.9559i	1.52866	+	1.13608i
$94$	5.02161	+	4.52148i	0.517940	+	0.466355i
$95$	2.93107	+	0.811154i	0.300721	+	0.0832226i
$96$	−1.11661	+	6.58833i	−0.113963	+	0.672418i
$97$	6.41797	−	3.27012i	0.651646	−	0.332030i	−0.0967244	−	0.995311i	$-0.530837\pi$
$97$	6.41797	−	3.27012i	0.651646	−	0.332030i	0.748371	+	0.663281i	$0.230837\pi$
$98$	−6.05165	+	9.81288i	−0.611309	+	0.991250i
$99$	1.90103	−	8.08066i	0.191060	−	0.812137i
$100$	−0.314347	−	3.54886i	−0.0314347	−	0.354886i
$101$	−3.80077	+	2.19437i	−0.378190	+	0.218348i	−0.677031	−	0.735955i	$-0.736734\pi$
$101$	−3.80077	+	2.19437i	−0.378190	+	0.218348i	0.298840	+	0.954303i	$0.403400\pi$
$102$	8.71585	+	5.15849i	0.862998	+	0.510767i
$103$	−13.9787	−	0.732594i	−1.37737	−	0.0721846i	−0.650783	−	0.759264i	$-0.725559\pi$
$103$	−13.9787	−	0.732594i	−1.37737	−	0.0721846i	−0.726582	+	0.687079i	$0.758892\pi$
$104$	3.47354	−	10.6905i	0.340609	−	1.04829i
$105$	−6.50674	+	7.91595i	−0.634993	+	0.772518i
$106$	−5.72877	−	17.6313i	−0.556427	−	1.71251i
$107$	−4.86970	−	18.1740i	−0.470771	−	1.75694i	−0.637008	−	0.770857i	$-0.719828\pi$
$107$	−4.86970	−	18.1740i	−0.470771	−	1.75694i	0.166237	−	0.986086i	$-0.446838\pi$
$108$	−3.26481	+	1.74634i	−0.314156	+	0.168042i
$109$	−4.91332	−	0.516411i	−0.470611	−	0.0494632i	−0.133745	−	0.991016i	$-0.542700\pi$
$109$	−4.91332	−	0.516411i	−0.470611	−	0.0494632i	−0.336866	+	0.941553i	$0.609367\pi$
$110$	−4.06851	−	9.34314i	−0.387917	−	0.890833i
$111$	0.445653	−	1.59408i	0.0422995	−	0.151304i
$112$	3.87565	−	12.4195i	0.366214	−	1.17353i
$113$	−1.52814	−	9.64829i	−0.143755	−	0.907635i	−0.949134	−	0.314874i	$-0.898038\pi$
$113$	−1.52814	−	9.64829i	−0.143755	−	0.907635i	0.805378	−	0.592761i	$-0.201962\pi$
$114$	−2.71366	−	2.77296i	−0.254158	−	0.259712i
$115$	−10.7988	−	9.88453i	−1.00699	−	0.921737i
$116$	4.03030	+	0.423602i	0.374204	+	0.0393304i
$117$	14.9669	−	5.37707i	1.38369	−	0.497110i
$118$	−6.01114	+	6.01114i	−0.553371	+	0.553371i
$119$	−7.36855	−	5.82584i	−0.675474	−	0.534054i
$120$	3.48213	−	7.43751i	0.317874	−	0.678949i
$121$	2.23705	+	2.48450i	0.203368	+	0.225864i
$122$	−3.17924	+	4.89560i	−0.287835	+	0.443227i
$123$	10.8744	+	6.43604i	0.980513	+	0.580318i
$124$	−6.54379	−	3.77806i	−0.587650	−	0.339280i
$125$	−2.01965	+	10.9964i	−0.180643	+	0.983549i
$126$	12.2502	−	4.56321i	1.09134	−	0.406523i
$127$	−6.67346	−	1.05697i	−0.592174	−	0.0937912i	−0.146847	−	0.989159i	$-0.546913\pi$
$127$	−6.67346	−	1.05697i	−0.592174	−	0.0937912i	−0.445327	+	0.895368i	$0.646913\pi$
$128$	−0.703846	+	13.4302i	−0.0622118	+	1.18707i
$129$	−11.9803	−	9.91770i	−1.05480	−	0.873205i
$130$	10.7666	−	16.2857i	0.944297	−	1.42835i
$131$	2.85978	−	13.4542i	0.249861	−	1.17550i	−0.656940	−	0.753943i	$-0.728150\pi$
$131$	2.85978	−	13.4542i	0.249861	−	1.17550i	0.906801	−	0.421559i	$-0.138517\pi$
$132$	−0.393657	+	3.39231i	−0.0342635	+	0.295262i
$133$	2.14895	+	2.88631i	0.186338	+	0.250275i
$134$	5.37825	+	3.90753i	0.464610	+	0.337559i
$135$	11.3359	−	2.54909i	0.975637	−	0.219390i
$136$	6.87738	+	3.06200i	0.589730	+	0.262565i
$137$	0.583268	+	0.720276i	0.0498319	+	0.0615373i	0.801453	−	0.598058i	$-0.204061\pi$
$137$	0.583268	+	0.720276i	0.0498319	+	0.0615373i	−0.751621	+	0.659596i	$0.770728\pi$
$138$	5.57902	+	17.8237i	0.474918	+	1.51725i
$139$	−2.73346	−	3.76228i	−0.231849	−	0.319113i	0.677202	−	0.735797i	$-0.263192\pi$
$139$	−2.73346	−	3.76228i	−0.231849	−	0.319113i	−0.909051	+	0.416684i	$0.863192\pi$
$140$	2.28359	−	3.54341i	0.192999	−	0.299473i
$141$	0.295196	+	7.10013i	0.0248600	+	0.597939i
$142$	1.20710	+	1.85877i	0.101298	+	0.155985i
$143$	3.79656	−	14.1690i	0.317485	−	1.18487i
$144$	−12.1193	+	8.41110i	−1.00995	+	0.700925i
$145$	−11.8348	−	4.65449i	−0.982830	−	0.386534i
$146$	2.14215	+	0.696028i	0.177286	+	0.0576037i
$147$	−11.8269	+	2.66930i	−0.975464	+	0.220160i
$148$	−0.106522	+	0.672554i	−0.00875606	+	0.0552836i
$149$	−6.45733	+	11.1844i	−0.529005	+	0.916264i	0.470423	+	0.882441i	$0.344101\pi$
$149$	−6.45733	+	11.1844i	−0.529005	+	0.916264i	−0.999428	+	0.0338225i	$0.989232\pi$
$150$	9.27412	−	10.8366i	0.757229	−	0.884805i
$151$	3.25235	+	5.63324i	0.264673	+	0.458426i	0.967478	−	0.252956i	$-0.0814028\pi$
$151$	3.25235	+	5.63324i	0.264673	+	0.458426i	−0.702805	+	0.711382i	$0.748069\pi$
$152$	−2.24123	−	1.81492i	−0.181788	−	0.147209i
$153$	2.53370	+	10.3454i	0.204837	+	0.836373i
$154$	2.98457	−	11.6824i	0.240503	−	0.941393i
$155$	16.6291	+	16.9036i	1.33568	+	1.35773i
$156$	−5.86123	+	2.90709i	−0.469274	+	0.232753i
$157$	1.65701	−	6.18406i	0.132244	−	0.493542i	−0.867750	−	0.497001i	$-0.834435\pi$
$157$	1.65701	−	6.18406i	0.132244	−	0.493542i	0.999994	+	0.00345949i	$0.00110119\pi$
$158$	−11.4446	+	0.599785i	−0.910483	+	0.0477164i
$159$	9.03832	−	17.2746i	0.716786	−	1.36996i
$160$	−2.73290	+	8.18246i	−0.216055	+	0.646880i
$161$	−2.90925	−	17.0757i	−0.229281	−	1.34576i
$162$	−14.1386	−	4.45163i	−1.11083	−	0.349753i
$163$	8.39996	−	21.8826i	0.657936	−	1.71398i	−0.0413558	−	0.999144i	$-0.513168\pi$
$163$	8.39996	−	21.8826i	0.657936	−	1.71398i	0.699292	−	0.714837i	$-0.253499\pi$
$164$	−4.74903	−	2.11440i	−0.370837	−	0.165107i
$165$	4.02993	−	9.93033i	0.313729	−	0.773075i
$166$	2.32966	−	1.03723i	0.180816	−	0.0805046i
$167$	−12.0490	−	6.13928i	−0.932380	−	0.475072i	−0.0792999	−	0.996851i	$-0.525268\pi$
$167$	−12.0490	−	6.13928i	−0.932380	−	0.475072i	−0.853081	+	0.521779i	$0.825268\pi$
$168$	8.65402	−	4.41888i	0.667672	−	0.340924i
$169$	14.3632	−	4.66689i	1.10486	−	0.358991i
$170$	10.0936	+	8.31139i	0.774145	+	0.637454i
$171$	0.0881895	−	4.07930i	0.00674402	−	0.311952i
$172$	5.36603	+	3.48474i	0.409156	+	0.265709i
$173$	−3.81367	+	4.70948i	−0.289948	+	0.358055i	−0.901218	−	0.433367i	$-0.857326\pi$
$173$	−3.81367	+	4.70948i	−0.289948	+	0.358055i	0.611270	+	0.791422i	$0.290659\pi$
$174$	10.0732	+	12.7180i	0.763647	+	0.964148i
$175$	−9.87238	+	8.80546i	−0.746281	+	0.665630i
$176$			13.6068i			1.02565i
$177$	−8.93961	−	0.0966205i	−0.671942	−	0.00726244i
$178$	0.0124007	−	0.0190953i	0.000929469	−	0.00143126i
$179$	−19.5777	+	4.16138i	−1.46331	+	0.311036i	−0.869645	−	0.493678i	$-0.835652\pi$
$179$	−19.5777	+	4.16138i	−1.46331	+	0.311036i	−0.593663	+	0.804713i	$0.702319\pi$
$180$	−4.51152	+	1.57924i	−0.336269	+	0.117710i
$181$	0.875894	+	2.69573i	0.0651047	+	0.200372i	0.978317	−	0.207112i	$-0.0664064\pi$
$181$	0.875894	+	2.69573i	0.0651047	+	0.200372i	−0.913213	+	0.407483i	$0.866406\pi$
$182$	21.8845	−	7.39422i	1.62218	−	0.548096i
$183$	−6.01813	+	1.21137i	−0.444873	+	0.0895468i
$184$	5.64646	+	12.6822i	0.416262	+	0.934941i
$185$	0.885092	−	1.94494i	0.0650732	−	0.142995i
$186$	−7.51316	−	29.3027i	−0.550891	−	2.14857i
$187$	9.17167	+	3.52067i	0.670699	+	0.257457i
$188$	−0.457330	−	2.88747i	−0.0333542	−	0.210590i
$189$	12.4405	+	5.85108i	0.904910	+	0.425603i
$190$	−2.91087	−	4.07623i	−0.211176	−	0.295721i
$191$	5.84373	+	13.1252i	0.422838	+	0.949709i	0.991854	+	0.127383i	$0.0406576\pi$
$191$	5.84373	+	13.1252i	0.422838	+	0.949709i	−0.569016	+	0.822326i	$0.692676\pi$
$192$	−4.52352	+	3.98532i	−0.326457	+	0.287616i
$193$	−24.7279	−	6.62583i	−1.77996	−	0.476938i	−0.789381	−	0.613904i	$-0.789598\pi$
$193$	−24.7279	−	6.62583i	−1.77996	−	0.476938i	−0.990576	+	0.136966i	$0.956265\pi$
$194$	−11.6041	−	2.46652i	−0.833123	−	0.177086i
$195$	20.1601	−	3.88650i	1.44370	−	0.278318i
$196$	4.70646	−	1.65165i	0.336176	−	0.117975i
$197$	−4.45310	−	8.73970i	−0.317270	−	0.622678i	0.676207	−	0.736712i	$-0.263623\pi$
$197$	−4.45310	−	8.73970i	−0.317270	−	0.622678i	−0.993477	+	0.114034i	$0.963623\pi$
$198$	−10.8087	+	8.37243i	−0.768137	+	0.595003i
$199$	12.5446	−	7.24264i	0.889264	−	0.513417i	0.0155624	−	0.999879i	$-0.495046\pi$
$199$	12.5446	−	7.24264i	0.889264	−	0.513417i	0.873702	+	0.486462i	$0.161713\pi$
$200$	5.91908	−	8.79588i	0.418542	−	0.621962i
$201$	1.01898	+	6.91660i	0.0718735	+	0.487859i
$202$	7.13920	+	1.13074i	0.502312	+	0.0795584i
$203$	−7.67521	−	12.9426i	−0.538694	−	0.908389i
$204$	−1.52599	−	4.10747i	−0.106840	−	0.287581i
$205$	12.5934	+	10.3698i	0.879561	+	0.724257i
$206$	17.1327	+	15.4263i	1.19369	+	1.07480i
$207$	−9.29302	+	17.3035i	−0.645910	+	1.20268i
$208$	−21.8623	+	14.1975i	−1.51588	+	0.984423i
$209$	−3.04471	−	2.21211i	−0.210607	−	0.153015i
$210$	16.5330	−	3.38789i	1.14089	−	0.233786i
$211$	11.6371	−	8.45486i	0.801132	−	0.582056i	−0.110114	−	0.993919i	$-0.535122\pi$
$211$	11.6371	−	8.45486i	0.801132	−	0.582056i	0.911246	+	0.411863i	$0.135122\pi$
$212$	−2.87432	+	7.48786i	−0.197409	+	0.514268i
$213$	−0.509214	+	2.27450i	−0.0348907	+	0.155846i
$214$	−12.6040	+	28.3090i	−0.861591	+	1.93516i
$215$	−13.3125	−	15.0307i	−0.907906	−	1.02509i
$216$	−10.8207	−	2.07546i	−0.736256	−	0.141217i
$217$	3.25821	+	27.8666i	0.221182	+	1.89171i
$218$	5.75353	+	5.75353i	0.389678	+	0.389678i
$219$	1.05251	+	2.12206i	0.0711220	+	0.143395i
$220$	−1.17592	+	4.24912i	−0.0792802	+	0.286476i
$221$	3.91313	+	18.4098i	0.263225	+	1.23838i
$222$	−2.22265	+	1.57843i	−0.149174	+	0.105937i
$223$	−3.06222	+	19.3341i	−0.205062	+	1.29471i	0.643432	+	0.765503i	$0.277510\pi$
$223$	−3.06222	+	19.3341i	−0.205062	+	1.29471i	−0.848494	+	0.529206i	$0.822490\pi$
$224$	−8.49512	+	5.65887i	−0.567604	+	0.378099i
$225$	14.9666	−	1.00022i	0.997774	−	0.0666814i
$226$	−8.04432	+	13.9332i	−0.535100	+	0.926821i
$227$	5.08544	−	1.95212i	0.337532	−	0.129567i	−0.183698	−	0.982983i	$-0.558807\pi$
$227$	5.08544	−	1.95212i	0.337532	−	0.129567i	0.521230	+	0.853416i	$0.325473\pi$
$228$	0.157407	+	1.67118i	0.0104246	+	0.110677i
$229$	20.3299	−	18.3051i	1.34344	−	1.20963i	0.385481	−	0.922716i	$-0.374036\pi$
$229$	20.3299	−	18.3051i	1.34344	−	1.20963i	0.957955	−	0.286919i	$-0.0926310\pi$
$230$	3.57673	+	23.8444i	0.235842	+	1.57225i
$231$	10.9760	−	6.34970i	0.722171	−	0.417780i
$232$	8.52729	+	8.52729i	0.559844	+	0.559844i
$233$	2.18223	+	3.36034i	0.142963	+	0.220143i	0.902897	−	0.429856i	$-0.141436\pi$
$233$	2.18223	+	3.36034i	0.142963	+	0.220143i	−0.759935	+	0.650000i	$0.774769\pi$
$234$	−24.7301	−	8.63054i	−1.61665	−	0.564196i
$235$	−1.03362	+	9.11574i	−0.0674261	+	0.594645i
$236$	3.65774	−	0.384444i	0.238099	−	0.0250252i
$237$	−8.86887	−	8.16084i	−0.576095	−	0.530104i
$238$	3.39298	+	15.0941i	0.219934	+	0.978405i
$239$	−20.0074	+	14.5362i	−1.29417	+	0.940271i	−0.999881	−	0.0154454i	$-0.995083\pi$
$239$	−20.0074	+	14.5362i	−1.29417	+	0.940271i	−0.294291	+	0.955716i	$0.595083\pi$
$240$	−17.1303	+	8.32235i	−1.10576	+	0.537205i
$241$	−2.49008	+	23.6915i	−0.160400	+	1.52610i	0.557629	+	0.830090i	$0.311711\pi$
$241$	−2.49008	+	23.6915i	−0.160400	+	1.52610i	−0.718029	+	0.696013i	$0.754956\pi$
$242$	−0.288174	−	5.49868i	−0.0185245	−	0.353469i
$243$	−7.05369	−	13.9013i	−0.452494	−	0.891767i
$244$	2.40186	−	0.780412i	0.153763	−	0.0499607i
$245$	−15.6168	+	1.05605i	−0.997721	+	0.0674688i
$246$	−7.24784	−	19.5089i	−0.462105	−	1.24384i
$247$	0.377344	−	7.20015i	0.0240098	−	0.458135i
$248$	−8.05807	−	20.9920i	−0.511688	−	1.33299i
$249$	2.49318	+	0.988089i	0.157999	+	0.0626176i
$250$	13.9826	−	11.9815i	0.884337	−	0.757776i
$251$		−	5.02902i		−	0.317429i	−0.987325	−	0.158715i	$-0.949265\pi$
$251$		−	5.02902i		−	0.317429i	0.987325	−	0.158715i	$-0.0507349\pi$
$252$	−5.36125	−	1.80110i	−0.337727	−	0.113458i
$253$	8.22458	+	16.1416i	0.517075	+	1.01482i
$254$	7.44614	+	8.26978i	0.467212	+	0.518892i
$255$	1.17732	+	13.7000i	0.0737269	+	0.857929i
$256$	10.1630	−	11.2871i	0.635185	−	0.705445i
$257$	0.352251	+	1.31462i	0.0219728	+	0.0820038i	0.976042	−	0.217584i	$-0.0698176\pi$
$257$	0.352251	+	1.31462i	0.0219728	+	0.0820038i	−0.954069	+	0.299588i	$0.903151\pi$
$258$	5.05457	+	25.1114i	0.314684	+	1.56337i
$259$	2.23924	−	1.17407i	0.139140	−	0.0729534i
$260$	−8.05412	+	2.54423i	−0.499495	+	0.157787i
$261$	−2.14979	+	16.9260i	−0.133069	+	1.04769i
$262$	−17.6054	+	14.2566i	−1.08767	+	0.880774i
$263$	10.1360	−	8.20799i	0.625014	−	0.506126i	−0.263690	−	0.964607i	$-0.584940\pi$
$263$	10.1360	−	8.20799i	0.625014	−	0.506126i	0.888704	+	0.458481i	$0.151606\pi$
$264$	−7.26325	+	7.10792i	−0.447022	+	0.437463i
$265$	14.9605	−	20.2408i	0.919015	−	1.24338i
$266$	0.241064	−	5.92167i	0.0147806	−	0.363081i
$267$	0.0234738	−	0.00472495i	0.00143657	−	0.000289162i
$268$	−0.744401	−	2.77814i	−0.0454715	−	0.169702i
$269$	3.09306	−	3.43519i	0.188587	−	0.209448i	−0.641435	−	0.767177i	$-0.721661\pi$
$269$	3.09306	−	3.43519i	0.188587	−	0.209448i	0.830023	+	0.557730i	$0.188327\pi$
$270$	−17.1514	−	8.48672i	−1.04380	−	0.516485i
$271$	−4.96655	−	5.51591i	−0.301697	−	0.335068i	0.573166	−	0.819439i	$-0.305715\pi$
$271$	−4.96655	−	5.51591i	−0.301697	−	0.335068i	−0.874862	+	0.484371i	$0.839048\pi$
$272$	−7.92599	−	15.5556i	−0.480584	−	0.943199i
$273$	21.6548	+	11.0100i	1.31061	+	0.666358i
$274$		−	1.52646i		−	0.0922168i
$275$	7.11297	−	11.8670i	0.428928	−	0.715606i
$276$	2.97703	−	7.51175i	0.179196	−	0.452154i
$277$	3.15432	+	8.21728i	0.189525	+	0.493729i	0.995112	−	0.0987478i	$-0.0314837\pi$
$277$	3.15432	+	8.21728i	0.189525	+	0.493729i	−0.805588	+	0.592476i	$0.798150\pi$
$278$	−0.400851	+	7.64869i	−0.0240414	+	0.458738i
$279$	16.4982	−	27.2006i	0.987724	−	1.62846i
$280$	11.9169	−	3.91804i	0.712173	−	0.234147i
$281$	10.0706	−	3.27214i	0.600762	−	0.195199i	0.00718164	−	0.999974i	$-0.497714\pi$
$281$	10.0706	−	3.27214i	0.600762	−	0.195199i	0.593580	+	0.804775i	$0.297714\pi$
$282$	6.98131	−	9.39375i	0.415731	−	0.559390i
$283$	0.400340	+	7.63894i	0.0237977	+	0.454088i	0.984376	+	0.176079i	$0.0563413\pi$
$283$	0.400340	+	7.63894i	0.0237977	+	0.454088i	−0.960578	+	0.278009i	$0.910325\pi$
$284$	0.100230	−	0.953621i	0.00594754	−	0.0565870i
$285$	0.922700	−	5.18614i	0.0546560	−	0.307200i
$286$	−19.5452	+	14.2004i	−1.15573	+	0.839690i
$287$	4.23328	+	18.8323i	0.249883	+	1.11164i
$288$	11.5424	+	0.855413i	0.680142	+	0.0504057i
$289$	4.37080	−	0.459390i	0.257106	−	0.0270229i
$290$	10.3237	+	18.2241i	0.606227	+	1.07015i
$291$	−6.68147	−	10.5361i	−0.391675	−	0.617639i
$292$	−0.530738	−	0.817265i	−0.0310591	−	0.0478268i
$293$	−3.58220	−	3.58220i	−0.209274	−	0.209274i	0.594685	−	0.803959i	$-0.297277\pi$
$293$	−3.58220	−	3.58220i	−0.209274	−	0.209274i	−0.803959	+	0.594685i	$0.797277\pi$
$294$	17.9044	+	8.84175i	1.04421	+	0.515661i
$295$	−11.3844	−	1.89878i	−0.662825	−	0.110551i
$296$	−1.50586	+	1.35588i	−0.0875262	+	0.0788089i
$297$	−14.2432	−	1.96569i	−0.826475	−	0.114061i
$298$	19.8575	−	7.62256i	1.15031	−	0.441563i
$299$	−17.3534	+	30.0570i	−1.00357	+	1.73824i
$300$	−6.06866	+	1.11848i	−0.350374	+	0.0645753i
$301$	−1.52021	−	23.7085i	−0.0876236	−	1.36653i
$302$	1.67590	−	10.5812i	0.0964374	−	0.608882i
$303$	4.40134	+	6.19770i	0.252851	+	0.356048i
$304$	1.39052	+	6.54189i	0.0797519	+	0.375203i
$305$	−7.91748	+	0.349968i	−0.453353	+	0.0200391i
$306$	7.47976	−	15.8676i	0.427589	−	0.907092i
$307$	−24.4847	−	24.4847i	−1.39741	−	1.39741i	−0.807373	−	0.590041i	$-0.799111\pi$
$307$	−24.4847	−	24.4847i	−1.39741	−	1.39741i	−0.590041	−	0.807373i	$-0.700889\pi$
$308$	−4.18424	+	3.11530i	−0.238419	+	0.177511i
$309$	1.00715	+	24.2242i	0.0572946	+	1.37806i
$310$	−3.76407	−	38.8714i	−0.213785	−	2.20775i
$311$	3.75832	−	8.44132i	0.213115	−	0.478663i	−0.775081	−	0.631862i	$-0.782291\pi$
$311$	3.75832	−	8.44132i	0.213115	−	0.478663i	0.988195	+	0.153199i	$0.0489575\pi$
$312$	−18.9990	−	4.25348i	−1.07561	−	0.240806i
$313$	−6.47820	+	16.8763i	−0.366169	+	0.953903i	0.619467	+	0.785023i	$0.287349\pi$
$313$	−6.47820	+	16.8763i	−0.366169	+	0.953903i	−0.985636	+	0.168881i	$0.945985\pi$
$314$	−8.53054	+	6.19780i	−0.481406	+	0.349762i
$315$	14.7073	+	9.93462i	0.828660	+	0.559753i
$316$	4.01126	+	2.91435i	0.225651	+	0.163945i
$317$	22.0587	−	14.3251i	1.23894	−	0.804577i	0.252325	−	0.967643i	$-0.418805\pi$
$317$	22.0587	−	14.3251i	1.23894	−	0.804577i	0.986615	+	0.163065i	$0.0521381\pi$
$318$	−29.4733	+	12.7425i	−1.65278	+	0.714564i
$319$	11.6951	+	10.5303i	0.654799	+	0.589584i
$320$	−6.56186	+	4.18535i	−0.366819	+	0.233968i
$321$	−30.5486	+	11.3492i	−1.70505	+	0.633453i
$322$	−13.9750	+	24.8714i	−0.778794	+	1.38603i
$323$	4.76935	+	0.755391i	0.265374	+	0.0420311i
$324$	3.54170	+	5.34625i	0.196761	+	0.297014i
$325$	26.4887	−	0.953645i	1.46933	−	0.0528987i
$326$	−33.4324	+	19.3022i	−1.85165	+	1.06905i
$327$	−0.0924798	+	8.55650i	−0.00511414	+	0.473175i
$328$	−7.02303	−	13.7835i	−0.387782	−	0.761065i
$329$	−7.58552	+	7.76472i	−0.418203	+	0.428083i
$330$	−15.4507	+	8.53334i	−0.850531	+	0.469745i
$331$	−0.807202	−	0.171576i	−0.0443678	−	0.00943067i	0.185674	−	0.982611i	$-0.440553\pi$
$331$	−0.807202	−	0.171576i	−0.0443678	−	0.00943067i	−0.230042	+	0.973181i	$0.573886\pi$
$332$	−1.06569	−	0.285552i	−0.0584875	−	0.0156717i
$333$	−2.82125	−	0.509579i	−0.154603	−	0.0279247i
$334$	9.05884	+	20.3465i	0.495678	+	1.11331i
$335$	−0.0738898	+	9.02537i	−0.00403703	+	0.493109i
$336$	−22.0459	−	4.66605i	−1.20270	−	0.254554i
$337$	1.22411	+	7.72870i	0.0666813	+	0.421009i	0.998336	+	0.0576643i	$0.0183653\pi$
$337$	1.22411	+	7.72870i	0.0666813	+	0.421009i	−0.931655	+	0.363345i	$0.881635\pi$
$338$	−23.2213	−	8.91380i	−1.26307	−	0.484847i
$339$	−16.3895	+	4.20224i	−0.890155	+	0.228234i
$340$	−1.13079	−	5.54268i	−0.0613255	−	0.300594i
$341$	−11.9349	−	26.8063i	−0.646312	−	1.45164i
$342$	−4.34099	+	5.12987i	−0.234734	+	0.277392i
$343$	−15.3552	−	10.3546i	−0.829101	−	0.559099i
$344$	5.88366	+	18.1080i	0.317225	+	0.976320i
$345$	−15.2911	+	20.2271i	−0.823246	+	1.08899i
$346$	9.76257	−	2.07510i	0.524839	−	0.111558i
$347$	11.1603	−	17.1853i	0.599115	−	0.922556i	−0.400865	−	0.916137i	$-0.631290\pi$
$347$	11.1603	−	17.1853i	0.599115	−	0.922556i	0.999979	−	0.00641844i	$-0.00204307\pi$
$348$	0.0758593	−	7.01872i	0.00406649	−	0.376243i
$349$		−	8.47018i		−	0.453399i	−0.973965	−	0.226699i	$-0.927207\pi$
$349$		−	8.47018i		−	0.453399i	0.973965	−	0.226699i	$-0.0727935\pi$
$350$	21.7628	−	1.03800i	1.16327	−	0.0554834i
$351$	−11.7033	−	24.9359i	−0.624674	−	1.33098i
$352$	6.71829	−	8.29640i	0.358086	−	0.442199i
$353$	21.4778	+	13.9479i	1.14315	+	0.742371i	0.970139	−	0.242549i	$-0.0779836\pi$
$353$	21.4778	+	13.9479i	1.14315	+	0.742371i	0.173011	+	0.984920i	$0.444650\pi$
$354$	11.3421	+	9.38939i	0.602824	+	0.499040i
$355$	−1.10131	+	2.80028i	−0.0584516	+	0.148623i
$356$	−0.00936849	+	0.00304401i	−0.000496529	+	0.000161332i
$357$	−8.84937	+	13.6527i	−0.468358	+	0.722578i
$358$	29.3716	+	14.9656i	1.55234	+	0.790956i
$359$	28.5698	−	12.7201i	1.50786	−	0.671341i	0.524232	−	0.851575i	$-0.324352\pi$
$359$	28.5698	−	12.7201i	1.50786	−	0.671341i	0.983624	+	0.180235i	$0.0576858\pi$
$360$	−13.3910	−	4.79664i	−0.705765	−	0.252805i
$361$	15.6675	+	6.97560i	0.824603	+	0.367137i
$362$	1.67297	−	4.35823i	0.0879292	−	0.229063i
$363$	3.92097	−	4.26115i	0.205798	−	0.223652i
$364$	−9.37131	−	3.47235i	−0.491190	−	0.182000i
$365$	0.921139	+	2.91599i	0.0482146	+	0.152630i
$366$	8.95844	+	4.68719i	0.468265	+	0.245003i
$367$	0.851659	−	0.0446335i	0.0444562	−	0.00232985i	−0.0300949	−	0.999547i	$-0.509581\pi$
$367$	0.851659	−	0.0446335i	0.0444562	−	0.00232985i	0.0745511	+	0.997217i	$0.476248\pi$
$368$	8.33246	−	31.0972i	0.434359	−	1.62105i
$369$	9.33219	−	19.7974i	0.485814	−	1.03061i
$370$	−3.14876	+	1.57204i	−0.163696	+	0.0817263i
$371$	28.6743	−	8.04315i	1.48869	−	0.417580i
$372$	−5.45211	+	11.8979i	−0.282679	+	0.616876i
$373$	0.600373	+	0.486172i	0.0310861	+	0.0251730i	0.644738	−	0.764404i	$-0.276967\pi$
$373$	0.600373	+	0.486172i	0.0310861	+	0.0251730i	−0.613651	+	0.789577i	$0.710300\pi$
$374$	−8.09013	−	14.0125i	−0.418331	−	0.724570i
$375$	19.2904	+	1.69666i	0.996154	+	0.0876152i
$376$	4.34981	−	7.53409i	0.224324	−	0.388541i
$377$	−4.71640	+	29.7782i	−0.242907	+	1.53366i
$378$	−9.85858	−	20.3833i	−0.507071	−	1.04841i
$379$	10.9444	+	3.55606i	0.562178	+	0.182663i	0.576301	−	0.817238i	$-0.304496\pi$
$379$	10.9444	+	3.55606i	0.562178	+	0.182663i	−0.0141230	+	0.999900i	$0.504496\pi$
$380$	−0.131127	+	2.16307i	−0.00672666	+	0.110963i
$381$	−0.738750	+	11.6795i	−0.0378473	+	0.598360i
$382$	6.12438	−	22.8565i	0.313351	−	1.16944i
$383$	−3.13960	−	4.83456i	−0.160426	−	0.247035i	0.749312	−	0.662217i	$-0.230384\pi$
$383$	−3.13960	−	4.83456i	−0.160426	−	0.247035i	−0.909738	+	0.415183i	$0.863718\pi$
$384$	23.2736	−	0.967625i	1.18768	−	0.0493789i
$385$	15.2625	−	5.91985i	0.777847	−	0.301703i
$386$	24.7829	+	34.1107i	1.26142	+	1.73619i
$387$	−15.1564	+	22.2698i	−0.770444	+	1.13204i
$388$	3.23001	+	3.98874i	0.163979	+	0.202497i
$389$	4.53773	+	2.02033i	0.230072	+	0.102435i	0.518535	−	0.855056i	$-0.326478\pi$
$389$	4.53773	+	2.02033i	0.230072	+	0.102435i	−0.288463	+	0.957491i	$0.593144\pi$
$390$	−29.8321	−	15.9211i	−1.51061	−	0.806194i
$391$	−18.8051	−	13.6627i	−0.951013	−	0.690952i
$392$	13.9774	+	4.99426i	0.705965	+	0.252248i
$393$	−23.6652	−	2.74621i	−1.19375	−	0.138528i
$394$	−3.35880	+	15.8019i	−0.169214	+	0.796088i
$395$	−9.69250	−	12.1717i	−0.487683	−	0.612422i
$396$	5.91369	+	0.127847i	0.297174	+	0.00642455i
$397$	0.872832	−	16.6546i	0.0438062	−	0.835872i	−0.885065	−	0.465468i	$-0.845886\pi$
$397$	0.872832	−	16.6546i	0.0438062	−	0.835872i	0.928871	−	0.370404i	$-0.120781\pi$
$398$	−23.5633	−	3.73206i	−1.18112	−	0.187071i
$399$	4.62818	−	4.17449i	0.231699	−	0.208986i
$400$	−23.5048	+	7.21389i	−1.17524	+	0.360694i
$401$	2.29522	+	1.32515i	0.114618	+	0.0661747i	0.556213	−	0.831040i	$-0.312254\pi$
$401$	2.29522	+	1.32515i	0.114618	+	0.0661747i	−0.441595	+	0.897214i	$0.645587\pi$
$402$	5.86467	−	9.90903i	0.292503	−	0.494217i
$403$	30.6170	−	47.1461i	1.52514	−	2.34851i
$404$	−2.09251	−	2.32397i	−0.104106	−	0.115622i
$405$	−6.23688	−	19.1338i	−0.309913	−	0.950765i
$406$	−3.59084	+	24.5210i	−0.178210	+	1.21696i
$407$	−1.86982	+	1.86982i	−0.0926834	+	0.0926834i
$408$	4.16314	−	12.3568i	0.206106	−	0.611753i
$409$	39.3915	+	4.14021i	1.94778	+	0.204720i	0.995072	−	0.0991532i	$-0.0316134\pi$
$409$	39.3915	+	4.14021i	1.94778	+	0.204720i	0.952712	+	0.303874i	$0.0982801\pi$
$410$	−5.37080	−	26.3256i	−0.265245	−	1.30013i
$411$	1.14732	−	1.12279i	0.0565932	−	0.0553830i
$412$	−1.56031	−	9.85143i	−0.0768711	−	0.485345i
$413$	−9.25567	−	10.0412i	−0.455442	−	0.494096i
$414$	29.8293	−	12.5155i	1.46603	−	0.615104i
$415$	2.98412	+	1.75561i	0.146485	+	0.0861796i
$416$	20.3399	+	2.13781i	0.997248	+	0.104815i
$417$	−6.04378	+	5.32470i	−0.295965	+	0.260752i
$418$	1.60426	+	5.98717i	0.0784668	+	0.292842i
$419$	0.709211	+	2.18273i	0.0346472	+	0.106633i	0.966884	−	0.255214i	$-0.0821461\pi$
$419$	0.709211	+	2.18273i	0.0346472	+	0.106633i	−0.932237	+	0.361848i	$0.882146\pi$
$420$	−6.48122	−	3.36234i	−0.316251	−	0.164065i
$421$	8.77300	−	27.0005i	0.427570	−	1.31592i	−0.472942	−	0.881093i	$-0.656808\pi$
$421$	8.77300	−	27.0005i	0.427570	−	1.31592i	0.900512	−	0.434831i	$-0.143192\pi$
$422$	−23.6582	−	1.23987i	−1.15166	−	0.0603560i
$423$	12.1957	−	1.66226i	0.592973	−	0.0808216i
$424$	−20.6700	+	11.9338i	−1.00382	+	0.579557i
$425$	−1.21918	+	17.7099i	−0.0591390	+	0.859058i
$426$	3.00924	−	2.38345i	0.145798	−	0.115479i
$427$	−7.65016	−	5.42287i	−0.370217	−	0.262431i
$428$	11.9455	−	6.08651i	0.577405	−	0.294203i
$429$	−25.0499	−	4.24552i	−1.20942	−	0.204976i
$430$	1.46028	+	33.0366i	0.0704211	+	1.59317i
$431$	−11.5108	−	10.3644i	−0.554458	−	0.499236i	0.343598	−	0.939117i	$-0.388354\pi$
$431$	−11.5108	−	10.3644i	−0.554458	−	0.499236i	−0.898056	+	0.439880i	$0.855021\pi$
$432$	16.4727	+	19.5327i	0.792543	+	0.939766i
$433$	26.5155	+	13.5103i	1.27425	+	0.649264i	0.954493	−	0.298235i	$-0.0963978\pi$
$433$	26.5155	+	13.5103i	1.27425	+	0.649264i	0.319760	+	0.947499i	$0.396398\pi$
$434$	24.7128	−	39.0448i	1.18625	−	1.87421i
$435$	−6.10405	+	21.1642i	−0.292667	+	1.01475i
$436$	−0.367969	−	3.50099i	−0.0176225	−	0.167667i
$437$	5.60378	+	6.92010i	0.268065	+	0.331033i
$438$	0.852312	−	3.80702i	0.0407250	−	0.181906i
$439$	−9.50904	+	0.999440i	−0.453842	+	0.0477007i	−0.328692	−	0.944437i	$-0.606608\pi$
$439$	−9.50904	+	0.999440i	−0.453842	+	0.0477007i	−0.125150	+	0.992138i	$0.539941\pi$
$440$	−10.6769	+	7.62447i	−0.509002	+	0.363482i
$441$	6.52393	+	19.9609i	0.310663	+	0.950520i
$442$	14.0728	−	27.6194i	0.669375	−	1.31372i
$443$	−10.1554	+	2.72114i	−0.482499	+	0.129285i	−0.491866	−	0.870671i	$-0.663685\pi$
$443$	−10.1554	+	2.72114i	−0.482499	+	0.129285i	0.00936715	+	0.999956i	$0.497018\pi$
$444$	1.17707	+	0.0744515i	0.0558611	+	0.00353331i
$445$	0.0308822	−	0.00136505i	0.00146396	−	6.47097e-5i
$446$	23.9589	−	21.5727i	1.13449	−	1.02150i
$447$	20.3354	+	9.31855i	0.961833	+	0.440752i
$448$	−9.16913	−	0.855624i	−0.433201	−	0.0404245i
$449$	2.07153			0.0977616			0.0488808	−	0.998805i	$-0.484435\pi$
$449$	2.07153			0.0977616			0.0488808	+	0.998805i	$0.484435\pi$
$450$	−20.1932	−	14.2324i	−0.951915	−	0.670920i
$451$	−10.0937	−	17.4829i	−0.475295	−	0.823235i
$452$	6.49827	−	2.49445i	0.305653	−	0.117329i
$453$	9.18581	−	6.52337i	0.431587	−	0.306495i
$454$	−8.53241	−	2.77235i	−0.400446	−	0.130113i
$455$	25.4366	+	18.3456i	1.19249	+	0.860056i
$456$	−2.76565	+	4.15961i	−0.129513	+	0.194791i
$457$	−15.0836	+	4.04163i	−0.705579	+	0.189059i	−0.593728	−	0.804666i	$-0.702345\pi$
$457$	−15.0836	+	4.04163i	−0.705579	+	0.189059i	−0.111851	+	0.993725i	$0.535678\pi$
$458$	−44.9940	+	2.35803i	−2.10243	+	0.110184i
$459$	17.4282	−	6.04947i	0.813479	−	0.282365i
$460$	5.28951	−	8.99090i	0.246625	−	0.419203i
$461$	−19.0042	−	26.1570i	−0.885112	−	1.21825i	−0.974979	−	0.222298i	$-0.928644\pi$
$461$	−19.0042	−	26.1570i	−0.885112	−	1.21825i	0.0898670	−	0.995954i	$-0.471356\pi$
$462$	−20.6301	−	3.24918i	−0.959798	−	0.151165i
$463$	−2.57534	+	0.407894i	−0.119686	+	0.0189564i	−0.215990	−	0.976396i	$-0.569298\pi$
$463$	−2.57534	+	0.407894i	−0.119686	+	0.0189564i	0.0963040	+	0.995352i	$0.469298\pi$
$464$	−2.92331	−	27.8134i	−0.135711	−	1.29121i
$465$	26.4480	−	31.4210i	1.22650	−	1.45711i
$466$	0.689788	−	6.56290i	0.0319538	−	0.304020i
$467$	−1.51601	+	0.984507i	−0.0701525	+	0.0455576i	−0.579239	−	0.815158i	$-0.696650\pi$
$467$	−1.51601	+	0.984507i	−0.0701525	+	0.0455576i	0.509086	+	0.860716i	$0.329983\pi$
$468$	5.96502	+	9.63504i	0.275733	+	0.445380i
$469$	−6.62338	+	8.37728i	−0.305839	+	0.386827i
$470$	10.7713	−	10.5963i	0.496841	−	0.488772i
$471$	−10.9330	−	1.85296i	−0.503768	−	0.0853799i
$472$	9.17896	+	5.96089i	0.422496	+	0.274372i
$473$	8.90426	+	23.1964i	0.409419	+	1.06657i
$474$	2.89313	+	19.6378i	0.132886	+	0.901996i
$475$	2.20706	−	6.43231i	0.101267	−	0.295135i
$476$	2.96886	−	5.99881i	0.136077	−	0.274955i
$477$	−31.2566	−	12.7801i	−1.43114	−	0.585160i
$478$	40.6749	+	2.13168i	1.86043	+	0.0975008i
$479$	24.0499	−	5.11196i	1.09887	−	0.233572i	0.377421	−	0.926042i	$-0.376811\pi$
$479$	24.0499	−	5.11196i	1.09887	−	0.233572i	0.721447	+	0.692470i	$0.243478\pi$
$480$	14.5539	+	3.38366i	0.664290	+	0.154442i
$481$	−4.95527	−	1.05327i	−0.225941	−	0.0480252i
$482$	27.7429	−	27.7429i	1.26366	−	1.26366i
$483$	−28.9732	+	7.79023i	−1.31833	+	0.354468i
$484$	−1.40023	+	1.92725i	−0.0636469	+	0.0876024i
$485$	−6.43044	−	14.7672i	−0.291991	−	0.670543i
$486$	−5.38006	+	25.1039i	−0.244044	+	1.13874i
$487$	6.12389	−	4.95903i	0.277500	−	0.224715i	−0.480459	−	0.877017i	$-0.659530\pi$
$487$	6.12389	−	4.95903i	0.277500	−	0.224715i	0.757959	+	0.652302i	$0.226197\pi$
$488$	7.01611	+	2.69323i	0.317604	+	0.121917i
$489$	−39.0992	−	10.9308i	−1.76813	−	0.494310i
$490$	21.0832	+	14.8348i	0.952444	+	0.670169i
$491$	0.0365920	−	0.0503646i	0.00165138	−	0.00227292i	−0.808191	−	0.588921i	$-0.799553\pi$
$491$	0.0365920	−	0.0503646i	0.00165138	−	0.00227292i	0.809842	+	0.586648i	$0.199553\pi$
$492$	−2.87477	+	8.53274i	−0.129605	+	0.384685i
$493$	−19.5040	−	5.22609i	−0.878417	−	0.235371i
$494$	−7.94579	+	8.82469i	−0.357498	+	0.397042i
$495$	−17.7786	−	5.33638i	−0.799088	−	0.239852i
$496$	−16.1138	+	49.5932i	−0.723532	+	2.22680i
$497$	−3.06238	+	1.81606i	−0.137366	+	0.0814612i
$498$	−2.16700	−	3.84883i	−0.0971058	−	0.172470i
$499$	−12.1690	−	7.02575i	−0.544757	−	0.314516i	0.202248	−	0.979334i	$-0.435175\pi$
$499$	−12.1690	−	7.02575i	−0.544757	−	0.314516i	−0.747005	+	0.664819i	$0.768509\pi$
$500$	−7.96348	+	0.221440i	−0.356138	+	0.00990309i
$501$	−8.62967	+	21.7747i	−0.385545	+	0.972821i
$502$	−5.21248	+	6.43687i	−0.232644	+	0.287292i
$503$	8.85824	−	4.51350i	0.394970	−	0.201247i	−0.245214	−	0.969469i	$-0.578858\pi$
$503$	8.85824	−	4.51350i	0.394970	−	0.201247i	0.640184	+	0.768222i	$0.278858\pi$
$504$	−9.02560	−	14.2054i	−0.402032	−	0.632760i
$505$	4.38352	+	8.78010i	0.195064	+	0.390709i
$506$	6.20347	−	29.1850i	0.275778	−	1.29743i
$507$	−10.3806	−	24.0102i	−0.461017	−	1.06633i
$508$	−0.251969	−	4.80786i	−0.0111793	−	0.213314i
$509$	−6.86427	+	3.05617i	−0.304253	+	0.135462i	−0.553184	−	0.833059i	$-0.686587\pi$
$509$	−6.86427	+	3.05617i	−0.304253	+	0.135462i	0.248931	+	0.968521i	$0.419921\pi$
$510$	12.6929	−	18.7556i	0.562051	−	0.830510i
$511$	−1.25716	+	3.39288i	−0.0556136	+	0.150092i
$512$	1.85918	−	0.294465i	0.0821649	−	0.0130136i
$513$	−7.04874	+	0.510490i	−0.311210	+	0.0225387i
$514$	0.911714	−	2.04774i	0.0402140	−	0.0903221i
$515$	−3.52650	+	31.1010i	−0.155396	+	1.37047i
$516$	5.13759	−	9.81928i	0.226170	−	0.432270i
$517$	5.15407	−	10.1154i	0.226676	−	0.444877i
$518$	−4.08301	−	0.818175i	−0.179397	−	0.0359486i
$519$	8.74054	+	5.81143i	0.383667	+	0.255094i
$520$	−23.3908	−	9.19931i	−1.02576	−	0.403416i
$521$	4.68640	+	22.0478i	0.205315	+	0.965930i	0.953256	+	0.302165i	$0.0977093\pi$
$521$	4.68640	+	22.0478i	0.205315	+	0.965930i	−0.747941	+	0.663765i	$0.768957\pi$
$522$	20.2950	−	19.4361i	0.888289	−	0.850694i
$523$	−23.5819	−	19.0963i	−1.03117	−	0.835021i	−0.0447018	−	0.999000i	$-0.514234\pi$
$523$	−23.5819	−	19.0963i	−1.03117	−	0.835021i	−0.986464	+	0.163979i	$0.947567\pi$
$524$	9.80100			0.428159
$525$	16.7878	+	15.5939i	0.732679	+	0.680574i
$526$	−21.4810			−0.936615
$527$	29.2590	+	23.6935i	1.27454	+	1.03210i
$528$	23.4638	−	2.21004i	1.02113	−	0.0961795i
$529$	−4.12985	−	19.4294i	−0.179559	−	0.844758i
$530$	−40.1277	+	10.4009i	−1.74304	+	0.451784i
$531$	1.28537	+	15.4313i	0.0557803	+	0.669662i
$532$	−1.69334	+	1.92538i	−0.0734156	+	0.0834757i
$533$	17.5581	−	34.4597i	0.760525	−	1.49261i
$534$	−0.0349425	−	0.0182824i	−0.00151211	−	0.000791159i
$535$	−41.2226	+	8.41002i	−1.78221	+	0.363597i
$536$	3.48118	−	7.81887i	0.150364	−	0.337724i
$537$	10.3558	+	33.0843i	0.446886	+	1.42769i
$538$	−7.51946	+	1.19097i	−0.324187	+	0.0513462i
$539$	18.5563	+	5.55386i	0.799277	+	0.239222i
$540$	3.45605	+	7.52324i	0.148725	+	0.323749i
$541$	25.7544	−	11.4666i	1.10727	−	0.492988i	0.230099	−	0.973167i	$-0.426095\pi$
$541$	25.7544	−	11.4666i	1.10727	−	0.492988i	0.877171	+	0.480179i	$0.159428\pi$
$542$	0.639784	+	12.2078i	0.0274811	+	0.524370i
$543$	4.50629	−	1.94825i	0.193384	−	0.0836075i
$544$	−2.84785	+	13.3981i	−0.122100	+	0.574437i
$545$	−1.81740	+	10.8965i	−0.0778490	+	0.466755i
$546$	−16.3052	−	36.5370i	−0.697799	−	1.56364i
$547$	−0.802369	+	0.408828i	−0.0343068	+	0.0174802i	−0.471060	−	0.882101i	$-0.656128\pi$
$547$	−0.802369	+	0.408828i	−0.0343068	+	0.0174802i	0.436753	+	0.899581i	$0.356128\pi$
$548$	−0.415608	+	0.513233i	−0.0177539	+	0.0219242i
$549$	3.06638	+	10.1810i	0.130870	+	0.434516i
$550$	−21.4041	+	7.81664i	−0.912674	+	0.333303i
$551$	6.69890	+	3.86761i	0.285383	+	0.164766i
$552$	20.9522	−	11.7967i	0.891786	−	0.502101i
$553$	−0.214905	−	18.4088i	−0.00913868	−	0.782823i
$554$	4.47969	−	13.7871i	0.190324	−	0.585756i
$555$	−3.49765	−	1.21037i	−0.148467	−	0.0513773i
$556$	2.21728	−	2.46254i	0.0940336	−	0.104435i
$557$	−20.2930	−	5.43748i	−0.859840	−	0.230393i	−0.198151	−	0.980172i	$-0.563494\pi$
$557$	−20.2930	−	5.43748i	−0.859840	−	0.230393i	−0.661689	+	0.749778i	$0.730160\pi$
$558$	−49.3097	+	17.7152i	−2.08745	+	0.749944i
$559$	−27.9792	+	38.5101i	−1.18340	+	1.62880i
$560$	−27.1955	−	10.3307i	−1.14922	−	0.436553i
$561$	4.58144	−	16.3876i	0.193429	−	0.691886i
$562$	−16.2813	−	6.24982i	−0.686786	−	0.263633i
$563$	−0.823963	+	0.667232i	−0.0347259	+	0.0281205i	−0.646526	−	0.762892i	$-0.723779\pi$
$563$	−0.823963	+	0.667232i	−0.0347259	+	0.0281205i	0.611800	+	0.791012i	$0.290446\pi$
$564$	−4.90492	+	1.25761i	−0.206534	+	0.0529551i
$565$	−21.7415	+	2.10531i	−0.914670	+	0.0885712i
$566$	7.40519	−	10.1924i	0.311264	−	0.428417i
$567$	8.06912	−	22.4029i	0.338871	−	0.940833i
$568$	2.01767	−	2.01767i	0.0846595	−	0.0846595i
$569$	0.896808	+	0.190622i	0.0375961	+	0.00799131i	0.226671	−	0.973971i	$-0.427216\pi$
$569$	0.896808	+	0.190622i	0.0375961	+	0.00799131i	−0.189075	+	0.981963i	$0.560549\pi$
$570$	−6.55633	+	5.68162i	−0.274615	+	0.237977i
$571$	27.3524	−	5.81394i	1.14466	−	0.243306i	0.403726	−	0.914880i	$-0.367715\pi$
$571$	27.3524	−	5.81394i	1.14466	−	0.243306i	0.740937	+	0.671574i	$0.234382\pi$
$572$	10.4379	+	0.547029i	0.436432	+	0.0228724i
$573$	21.6843	−	12.2089i	0.905873	−	0.510033i
$574$	14.1009	−	28.4920i	0.588561	−	1.18923i
$575$	−23.5231	+	22.7651i	−0.980981	+	0.949372i
$576$	7.60708	+	7.15314i	0.316962	+	0.298048i
$577$	−2.08154	−	5.42260i	−0.0866556	−	0.225746i	0.883404	−	0.468612i	$-0.155246\pi$
$577$	−2.08154	−	5.42260i	−0.0866556	−	0.225746i	−0.970060	+	0.242866i	$0.921912\pi$
$578$	−6.07053	−	3.94225i	−0.252501	−	0.163976i
$579$	−7.40936	+	43.7175i	−0.307923	+	1.81684i
$580$	1.49078	−	8.93819i	0.0619013	−	0.371138i
$581$	1.51263	+	3.80709i	0.0627544	+	0.157945i
$582$	−2.36856	+	20.4109i	−0.0981801	+	0.846058i
$583$	−26.1219	+	16.9637i	−1.08186	+	0.702566i
$584$	0.303116	−	2.88396i	0.0125430	−	0.119339i
$585$	−9.97638	−	34.1332i	−0.412473	−	1.41124i
$586$	0.872145	+	8.29790i	0.0360280	+	0.342783i
$587$	30.4982	−	4.83044i	1.25880	−	0.199374i	0.508839	−	0.860862i	$-0.330075\pi$
$587$	30.4982	−	4.83044i	1.25880	−	0.199374i	0.749956	+	0.661488i	$0.230075\pi$
$588$	−3.61257	−	7.84764i	−0.148980	−	0.323631i
$589$	−8.47749	−	11.6683i	−0.349309	−	0.480783i
$590$	12.6034	+	14.2300i	0.518872	+	0.585841i
$591$	−14.3476	+	9.09852i	−0.590182	+	0.374263i
$592$	4.69277	−	0.245937i	0.192871	−	0.0101080i
$593$	14.6064	−	3.91378i	0.599814	−	0.160720i	0.0538793	−	0.998547i	$-0.482841\pi$
$593$	14.6064	−	3.91378i	0.599814	−	0.160720i	0.545935	+	0.837828i	$0.316175\pi$
$594$	16.1931	+	17.2788i	0.664412	+	0.708957i
$595$	−14.0001	+	15.6581i	−0.573948	+	0.641921i
$596$	−8.75196	−	2.84368i	−0.358494	−	0.116482i
$597$	−14.5269	−	20.4558i	−0.594544	−	0.837200i
$598$	53.3649	−	20.4849i	2.18225	−	0.837689i
$599$	11.2609	+	19.5044i	0.460108	+	0.796930i	0.998966	−	0.0454666i	$-0.0144775\pi$
$599$	11.2609	+	19.5044i	0.460108	+	0.796930i	−0.538858	+	0.842397i	$0.681144\pi$
$600$	−16.1292	−	8.77834i	−0.658470	−	0.358374i
$601$	37.0429			1.51101			0.755506	−	0.655141i	$-0.227391\pi$
$601$	37.0429			1.51101			0.755506	+	0.655141i	$0.227391\pi$
$602$	−22.6276	+	31.9213i	−0.922231	+	1.30101i
$603$	11.7616	−	2.88056i	0.478970	−	0.117305i
$604$	−3.44443	+	3.10138i	−0.140152	+	0.126193i
$605$	5.84801	−	4.65687i	0.237755	−	0.189329i
$606$	0.790306	−	12.4946i	0.0321040	−	0.507559i
$607$	−27.2332	+	7.29712i	−1.10536	+	0.296181i	−0.764946	−	0.644094i	$-0.777235\pi$
$607$	−27.2332	+	7.29712i	−1.10536	+	0.296181i	−0.340416	+	0.940275i	$0.610568\pi$
$608$	2.38219	−	4.67531i	0.0966106	−	0.189609i
$609$	−21.0718	+	15.3374i	−0.853871	+	0.621504i
$610$	10.4967	+	7.75836i	0.424998	+	0.314127i
$611$	21.6305	−	2.27346i	0.875077	−	0.0919743i
$612$	−6.83515	+	3.29858i	−0.276294	+	0.133337i
$613$	15.8055	+	19.5182i	0.638379	+	0.788333i	0.988957	−	0.148201i	$-0.0473482\pi$
$613$	15.8055	+	19.5182i	0.638379	+	0.788333i	−0.350578	+	0.936534i	$0.614015\pi$
$614$	5.96119	+	56.7169i	0.240574	+	2.28891i
$615$	15.8364	−	23.4006i	0.638585	−	0.943602i
$616$	−15.5107	−	0.631423i	−0.624944	−	0.0254408i
$617$	−37.3059	−	19.0083i	−1.50188	−	0.765245i	−0.506588	−	0.862188i	$-0.669093\pi$
$617$	−37.3059	−	19.0083i	−1.50188	−	0.765245i	−0.995290	+	0.0969432i	$0.969093\pi$
$618$	23.8188	−	32.0495i	0.958131	−	1.28922i
$619$	−2.60589	−	2.34636i	−0.104740	−	0.0943080i	0.615097	−	0.788451i	$-0.289117\pi$
$619$	−2.60589	−	2.34636i	−0.104740	−	0.0943080i	−0.719837	+	0.694143i	$0.755783\pi$
$620$	−9.31792	+	14.0944i	−0.374217	+	0.566044i
$621$	31.3479	+	13.2146i	1.25795	+	0.530284i
$622$	−13.5597	+	6.90901i	−0.543694	+	0.277026i
$623$	0.0298396	+	0.0211520i	0.00119550	+	0.000847435i
$624$	28.0334	+	35.3938i	1.12224	+	1.41689i
$625$	24.2704	+	5.99564i	0.970816	+	0.239826i
$626$	25.7837	−	14.8862i	1.03052	−	0.594972i
$627$	−3.32008	+	5.60965i	−0.132591	+	0.224028i
$628$	4.55565	+	0.238751i	0.181790	+	0.00952722i
$629$	1.04845	−	3.22679i	0.0418044	−	0.128661i
$630$	−8.52745	−	27.9595i	−0.339742	−	1.11393i
$631$	14.0413	+	43.2147i	0.558975	+	1.72035i	0.685207	+	0.728349i	$0.259712\pi$
$631$	14.0413	+	43.2147i	0.558975	+	1.72035i	−0.126231	+	0.992001i	$0.540288\pi$
$632$	3.81876	+	14.2518i	0.151902	+	0.566906i
$633$	−16.4698	−	18.6940i	−0.654617	−	0.743020i
$634$	−43.0816	−	4.52806i	−1.71099	−	0.179832i
$635$	−3.26208	+	14.7520i	−0.129452	+	0.585414i
$636$	13.3791	+	3.74034i	0.530514	+	0.148314i
$637$	10.4384	+	35.6098i	0.413586	+	1.41091i
$638$	−4.05463	−	25.5999i	−0.160524	−	1.01351i
$639$	4.00490	+	0.508669i	0.158431	+	0.0201226i
$640$	29.8806	+	3.38812i	1.18113	+	0.133927i
$641$	17.2100	+	1.80885i	0.679755	+	0.0714452i	0.438113	−	0.898920i	$-0.355647\pi$
$641$	17.2100	+	1.80885i	0.679755	+	0.0714452i	0.241643	+	0.970365i	$0.422314\pi$
$642$	50.8638	+	17.1366i	2.00743	+	0.676326i
$643$	25.7172	−	25.7172i	1.01419	−	1.01419i	0.0142882	−	0.999898i	$-0.495452\pi$
$643$	25.7172	−	25.7172i	1.01419	−	1.01419i	0.999898	−	0.0142882i	$-0.00454824\pi$
$644$	11.4704	−	4.55742i	0.451999	−	0.179588i
$645$	−23.7570	+	25.3977i	−0.935431	+	1.00003i
$646$	−5.32156	−	5.91019i	−0.209374	−	0.232533i
$647$	−16.1972	+	24.9414i	−0.636776	+	0.980549i	0.362053	+	0.932158i	$0.382076\pi$
$647$	−16.1972	+	24.9414i	−0.636776	+	0.980549i	−0.998828	+	0.0483912i	$0.984591\pi$
$648$	−1.82144	+	18.9965i	−0.0715531	+	0.746254i
$649$	12.3691	+	7.14128i	0.485528	+	0.280320i
$650$	−34.8925	−	26.2344i	−1.36860	−	1.02900i
$651$	47.5244	−	10.1446i	1.86263	−	0.397600i
$652$	16.4962	+	2.61274i	0.646041	+	0.102323i
$653$	−0.665167	+	12.6922i	−0.0260300	+	0.496682i	0.954243	+	0.299033i	$0.0966640\pi$
$653$	−0.665167	+	12.6922i	−0.0260300	+	0.496682i	−0.980273	+	0.197649i	$0.936669\pi$
$654$	8.98700	−	10.8560i	0.351420	−	0.424503i
$655$	−29.6425	−	8.20336i	−1.15823	−	0.320532i
$656$	−7.45883	+	35.0910i	−0.291218	+	1.37007i
$657$	3.48836	−	2.15963i	0.136094	−	0.0842554i
$658$	17.7570	−	2.07618i	0.692241	−	0.0809380i
$659$	−15.4662	−	11.2368i	−0.602477	−	0.437725i	0.244280	−	0.969705i	$-0.421448\pi$
$659$	−15.4662	−	11.2368i	−0.602477	−	0.437725i	−0.846757	+	0.531980i	$0.821448\pi$
$660$	7.51826	+	1.33762i	0.292648	+	0.0520669i
$661$	1.97834	+	0.880814i	0.0769485	+	0.0342597i	0.444850	−	0.895605i	$-0.353257\pi$
$661$	1.97834	+	0.880814i	0.0769485	+	0.0342597i	−0.367902	+	0.929865i	$0.619924\pi$
$662$	0.855340	+	1.05626i	0.0332437	+	0.0410526i
$663$	31.1106	−	9.73802i	1.20824	−	0.378193i
$664$	−1.92979	−	2.65613i	−0.0748904	−	0.103078i
$665$	6.73293	−	4.40587i	0.261092	−	0.170852i
$666$	3.08288	+	3.57640i	0.119459	+	0.138583i
$667$	−20.2796	−	31.2279i	−0.785230	−	1.20915i
$668$	2.49392	−	9.30744i	0.0964927	−	0.360116i
$669$	33.8375	+	2.14028i	1.30823	+	0.0827480i
$670$	9.44919	−	11.4754i	0.365054	−	0.443333i
$671$	9.32728	+	3.03062i	0.360076	+	0.116996i
$672$	11.1381	+	13.7300i	0.429660	+	0.529647i
$673$	1.38698	−	8.75704i	0.0534641	−	0.337559i	−0.946429	−	0.322913i	$-0.895338\pi$
$673$	1.38698	−	8.75704i	0.0534641	−	0.337559i	0.999893	−	0.0146461i	$-0.00466216\pi$
$674$	6.44385	−	11.1611i	0.248208	−	0.429909i
$675$	−4.15570	−	25.6463i	−0.159953	−	0.987125i
$676$	5.38060	+	9.31948i	0.206946	+	0.358441i
$677$	3.43241	+	2.77951i	0.131918	+	0.106825i	0.693009	−	0.720929i	$-0.256285\pi$
$677$	3.43241	+	2.77951i	0.131918	+	0.106825i	−0.561091	+	0.827754i	$0.689618\pi$
$678$	25.3332	+	11.6087i	0.972915	+	0.445831i
$679$	4.71722	−	18.4644i	0.181030	−	0.708601i
$680$	7.76484	−	14.9358i	0.297768	−	0.572762i
$681$	−4.19225	−	8.45236i	−0.160647	−	0.323895i
$682$	−12.5081	+	46.6809i	−0.478960	+	1.78750i
$683$	35.5195	−	1.86150i	1.35912	−	0.0712283i	0.641209	−	0.767366i	$-0.278433\pi$
$683$	35.5195	−	1.86150i	1.35912	−	0.0712283i	0.717908	+	0.696138i	$0.245100\pi$
$684$	2.85625	−	0.542872i	0.109212	−	0.0207572i
$685$	1.68655	−	1.20438i	0.0644399	−	0.0460170i
$686$	8.92140	+	29.1687i	0.340621	+	1.11367i
$687$	−34.8677	−	32.0841i	−1.33028	−	1.22408i
$688$	15.8237	−	41.2222i	0.603273	−	1.57158i
$689$	−54.5119	−	24.2703i	−2.07674	−	0.924624i
$690$	40.5367	−	10.0406i	1.54321	−	0.382240i
$691$	43.1345	−	19.2047i	1.64091	−	0.730582i	0.641580	−	0.767056i	$-0.278279\pi$
$691$	43.1345	−	19.2047i	1.64091	−	0.730582i	0.999335	+	0.0364741i	$0.0116126\pi$
$692$	−3.84740	−	1.96035i	−0.146256	−	0.0745213i
$693$	−12.7323	−	17.8960i	−0.483660	−	0.679812i
$694$	−32.0968	+	10.4289i	−1.21838	+	0.395874i
$695$	−8.76715	+	5.59195i	−0.332557	+	0.212115i
$696$	13.3196	−	16.0896i	0.504878	−	0.609876i
$697$	21.7232	+	14.1072i	0.822825	+	0.534349i
$698$	−8.77917	+	10.8414i	−0.332297	+	0.410352i
$699$	5.44020	−	4.30887i	0.205767	−	0.162977i
$700$	−7.59980	−	5.57634i	−0.287246	−	0.210766i
$701$			41.5873i			1.57073i	0.619033	+	0.785365i	$0.287525\pi$
$701$			41.5873i			1.57073i	−0.619033	+	0.785365i	$0.712475\pi$
$702$	−10.8660	+	44.0468i	−0.410110	+	1.66244i
$703$	−0.707890	+	1.09005i	−0.0266986	+	0.0411122i
$704$	9.42084	−	2.00246i	0.355061	−	0.0754706i
$705$	15.8872	+	0.301805i	0.598348	+	0.0113666i
$706$	−13.0338	−	40.1139i	−0.490533	−	1.50971i
$707$	−2.28143	+	11.3852i	−0.0858019	+	0.428184i
$708$	−1.25704	−	6.24504i	−0.0472424	−	0.234703i
$709$	−7.93905	−	17.8314i	−0.298157	−	0.669672i	0.700892	−	0.713267i	$-0.252785\pi$
$709$	−7.93905	−	17.8314i	−0.298157	−	0.669672i	−0.999049	+	0.0435953i	$0.986119\pi$
$710$	4.31205	−	2.44271i	0.161828	−	0.0916734i
$711$	−12.6322	+	16.6191i	−0.473745	+	0.623267i
$712$	−0.0273664	−	0.0105050i	−0.00102560	−	0.000393691i
$713$	10.8607	+	68.5720i	0.406738	+	2.56804i
$714$	25.4775	−	8.30252i	0.953470	−	0.310714i
$715$	−31.1110	−	10.3909i	−1.16349	−	0.388599i
$716$	−5.80079	−	13.0288i	−0.216786	−	0.486909i
$717$	28.3162	+	32.1401i	1.05749	+	1.20030i
$718$	−49.7519	−	13.3310i	−1.85672	−	0.497508i
$719$	6.28218	+	1.33532i	0.234286	+	0.0497990i	0.323558	−	0.946208i	$-0.395121\pi$
$719$	6.28218	+	1.33532i	0.234286	+	0.0497990i	−0.0892724	+	0.996007i	$0.528454\pi$
$720$	17.1335	+	28.1881i	0.638529	+	1.05051i
$721$	−25.8802	+	26.4916i	−0.963830	+	0.986599i
$722$	−12.8234	−	25.1674i	−0.477239	−	0.936634i
$723$	41.2585	+	0.445927i	1.53442	+	0.0165842i
$724$	−1.74910	+	1.00985i	−0.0650050	+	0.0375306i
$725$	−11.9900	+	25.7852i	−0.445296	+	0.957640i
$726$	−9.43523	+	1.39004i	−0.350174	+	0.0515891i
$727$	3.67558	+	0.582154i	0.136320	+	0.0215909i	0.224221	−	0.974538i	$-0.428016\pi$
$727$	3.67558	+	0.582154i	0.136320	+	0.0215909i	−0.0879017	+	0.996129i	$0.528016\pi$
$728$	−15.1696	−	25.5802i	−0.562222	−	0.948064i
$729$	−22.8260	+	14.4214i	−0.845406	+	0.534125i
$730$	1.84336	−	4.68705i	0.0682256	−	0.173476i
$731$	−23.6915	−	21.3319i	−0.876262	−	0.788990i
$732$	−1.73587	−	4.01506i	−0.0641596	−	0.148401i
$733$	−16.0413	+	10.4173i	−0.592498	+	0.384773i	−0.805777	−	0.592218i	$-0.798252\pi$
$733$	−16.0413	+	10.4173i	−0.592498	+	0.384773i	0.213279	+	0.976991i	$0.431586\pi$
$734$	−1.13634	−	0.825598i	−0.0419430	−	0.0304734i
$735$	4.35758	+	26.7584i	0.160732	+	0.986998i
$736$	−20.4346	+	14.8466i	−0.753228	+	0.547252i
$737$	4.00264	−	10.4272i	0.147439	−	0.384092i
$738$	−32.4643	+	15.6670i	−1.19503	+	0.576709i
$739$	−10.4418	+	23.4526i	−0.384107	+	0.862718i	0.613238	+	0.789898i	$0.289867\pi$
$739$	−10.4418	+	23.4526i	−0.384107	+	0.862718i	−0.997345	+	0.0728203i	$0.976800\pi$
$740$	1.48671	+	0.328753i	0.0546525	+	0.0120852i
$741$	−12.4774	+	0.518760i	−0.458367	+	0.0190571i
$742$	−45.0381	−	19.4255i	−1.65340	−	0.713133i
$743$	−11.5736	−	11.5736i	−0.424592	−	0.424592i	0.462189	−	0.886781i	$-0.347064\pi$
$743$	−11.5736	−	11.5736i	−0.424592	−	0.424592i	−0.886781	+	0.462189i	$0.847064\pi$
$744$	−34.8902	+	17.3050i	−1.27914	+	0.634434i
$745$	24.0896	+	15.9259i	0.882575	+	0.583478i
$746$	−0.264537	−	1.24455i	−0.00968538	−	0.0455661i
$747$	1.29893	−	4.45978i	0.0475255	−	0.163175i
$748$	−1.09508	+	6.91405i	−0.0400400	+	0.252803i
$749$	−44.6151	−	22.0803i	−1.63020	−	0.806798i
$750$	−22.9322	−	22.1658i	−0.837364	−	0.809380i
$751$	−6.81192	+	11.7986i	−0.248571	+	0.430537i	−0.963129	−	0.269038i	$-0.913294\pi$
$751$	−6.81192	+	11.7986i	−0.248571	+	0.430537i	0.714559	+	0.699575i	$0.246627\pi$
$752$	−18.8350	+	7.23008i	−0.686842	+	0.263654i
$753$	−8.67214	+	0.816821i	−0.316030	+	0.0297666i
$754$	36.9012	−	33.2260i	1.34386	−	1.21002i
$755$	13.0133	−	6.49696i	0.473602	−	0.236448i
$756$	−2.23506	+	9.53757i	−0.0812884	+	0.346878i
$757$	7.07051	+	7.07051i	0.256982	+	0.256982i	0.823825	−	0.566843i	$-0.191836\pi$
$757$	7.07051	+	7.07051i	0.256982	+	0.256982i	−0.566843	+	0.823825i	$0.691836\pi$
$758$	−10.3225	−	15.8953i	−0.374930	−	0.577342i
$759$	26.4991	−	16.8044i	0.961856	−	0.609960i
$760$	−4.35409	+	4.75681i	−0.157939	+	0.172547i
$761$	−6.61870	+	0.695654i	−0.239928	+	0.0252174i	−0.223729	−	0.974651i	$-0.571823\pi$
$761$	−6.61870	+	0.695654i	−0.239928	+	0.0252174i	−0.0161987	+	0.999869i	$0.505156\pi$
$762$	13.0511	−	14.1835i	0.472793	−	0.513812i
$763$	−9.61091	+	8.85902i	−0.347938	+	0.320718i
$764$	−8.28229	+	6.01744i	−0.299643	+	0.217703i
$765$	23.4334	−	4.25538i	0.847235	−	0.153854i
$766$	−0.992406	+	9.44211i	−0.0358571	+	0.341157i
$767$	1.43204	+	27.3249i	0.0517079	+	0.986646i
$768$	−21.1144	−	15.6919i	−0.761900	−	0.566234i
$769$	−50.2407	+	16.3242i	−1.81173	+	0.588666i	−0.811738	+	0.584021i	$0.801478\pi$
$769$	−50.2407	+	16.3242i	−1.81173	+	0.588666i	−0.999989	+	0.00464459i	$0.998522\pi$
$770$	−25.6709	−	8.24214i	−0.925116	−	0.297026i
$771$	2.20974	−	0.820951i	0.0795819	−	0.0295658i
$772$	0.954686	−	18.2165i	0.0343599	−	0.655626i
$773$	10.7857	+	28.0977i	0.387934	+	1.01060i	0.978978	+	0.203964i	$0.0653825\pi$
$773$	10.7857	+	28.0977i	0.387934	+	1.01060i	−0.591044	+	0.806639i	$0.701284\pi$
$774$	42.4816	−	12.7948i	1.52697	−	0.459901i
$775$	39.9783	−	34.8285i	1.43606	−	1.25108i
$776$			15.2734i			0.548283i
$777$	−2.38830	−	3.67069i	−0.0856796	−	0.131685i
$778$	−3.71402	−	7.28918i	−0.133154	−	0.261330i
$779$	−6.63950	−	7.37391i	−0.237885	−	0.264198i
$780$	5.69549	+	13.4754i	0.203931	+	0.482498i
$781$	2.49161	−	2.76721i	0.0891567	−	0.0990186i
$782$	9.90838	+	36.9786i	0.354323	+	1.32235i
$783$	29.5366	+	0.958005i	1.05555	+	0.0342363i
$784$	−17.9020	−	29.4001i	−0.639358	−	1.05000i
$785$	−13.5784	−	4.53513i	−0.484635	−	0.161866i
$786$	27.4438	+	28.0435i	0.978888	+	1.00028i
$787$	7.29416	−	5.90669i	0.260009	−	0.210551i	−0.490448	−	0.871470i	$-0.663167\pi$
$787$	7.29416	−	5.90669i	0.260009	−	0.210551i	0.750457	+	0.660919i	$0.229834\pi$
$788$	5.43168	−	4.39849i	0.193496	−	0.156690i
$789$	−15.8003	−	16.1456i	−0.562506	−	0.574798i
$790$	−0.209790	+	25.6251i	−0.00746400	+	0.911701i
$791$	−21.8384	−	13.8223i	−0.776485	−	0.491465i
$792$	13.4367	+	11.3704i	0.477454	+	0.404030i
$793$	4.86288	+	18.1485i	0.172686	+	0.644472i
$794$	−18.3794	+	20.4124i	−0.652259	+	0.724407i
$795$	−37.3335	−	22.5106i	−1.32408	−	0.798368i
$796$	6.90643	+	7.67037i	0.244792	+	0.271869i
$797$	3.09641	+	6.07704i	0.109680	+	0.215260i	0.939322	−	0.343036i	$-0.111455\pi$
$797$	3.09641	+	6.07704i	0.109680	+	0.215260i	−0.829642	+	0.558296i	$0.811455\pi$
$798$	−10.2506	+	0.546110i	−0.362867	+	0.0193321i
$799$			14.5665i			0.515325i
$800$	17.8932	+	7.20687i	0.632622	+	0.254801i
$801$	−0.0119604	−	0.0397112i	−0.000422601	−	0.00140313i
$802$	−1.56427	−	4.07507i	−0.0552364	−	0.143896i
$803$	0.198052	−	3.77905i	0.00698909	−	0.133360i
$804$	−4.66977	+	1.73489i	−0.164690	+	0.0611848i
$805$	−38.5062	+	4.18296i	−1.35716	+	0.147430i
$806$	−88.0541	+	28.6105i	−3.10157	+	1.00776i
$807$	−6.42609	−	4.77579i	−0.226209	−	0.168116i
$808$	−0.487034	−	9.29317i	−0.0171338	−	0.326933i
$809$	0.858704	−	8.17003i	0.0301904	−	0.287243i	−0.969002	−	0.247054i	$-0.920537\pi$
$809$	0.858704	−	8.17003i	0.0301904	−	0.287243i	0.999192	−	0.0401887i	$-0.0127959\pi$
$810$	−11.8489	+	30.9546i	−0.416328	+	1.08763i
$811$	1.08339	−	0.787127i	0.0380429	−	0.0276398i	−0.568601	−	0.822613i	$-0.692515\pi$
$811$	1.08339	−	0.787127i	0.0380429	−	0.0276398i	0.606644	+	0.794973i	$0.292515\pi$
$812$	7.88364	−	7.26688i	0.276661	−	0.255017i
$813$	−8.70507	+	9.46032i	−0.305300	+	0.331788i
$814$	4.33129	−	0.455237i	0.151812	−	0.0159561i
$815$	−47.7049	−	21.7093i	−1.67103	−	0.760442i
$816$	−25.5371	+	16.1943i	−0.893976	+	0.566914i
$817$	6.65151	+	10.2424i	0.232707	+	0.358337i
$818$	−46.1277	−	46.1277i	−1.61282	−	1.61282i
$819$	15.4687	−	39.1301i	0.540521	−	1.36732i
$820$	−5.36185	+	10.3136i	−0.187244	+	0.360167i
$821$	−23.3218	+	20.9990i	−0.813936	+	0.732871i	−0.966844	−	0.255369i	$-0.917803\pi$
$821$	−23.3218	+	20.9990i	−0.813936	+	0.732871i	0.152907	+	0.988241i	$0.451136\pi$
$822$	−2.63225	+	0.247930i	−0.0918104	+	0.00864754i
$823$	−2.95555	+	1.13453i	−0.103024	+	0.0395472i	−0.409334	−	0.912385i	$-0.634239\pi$
$823$	−2.95555	+	1.13453i	−0.103024	+	0.0395472i	0.306310	+	0.951932i	$0.400906\pi$
$824$	14.8406	−	25.7047i	0.516998	−	0.895466i
$825$	−21.6189	−	10.3383i	−0.752675	−	0.359933i
$826$	1.43923	+	22.4455i	0.0500773	+	0.780980i
$827$	5.39248	−	34.0468i	0.187515	−	1.18392i	−0.696882	−	0.717186i	$-0.745430\pi$
$827$	5.39248	−	34.0468i	0.187515	−	1.18392i	0.884396	−	0.466736i	$-0.154570\pi$
$828$	−13.4369	−	3.91358i	−0.466966	−	0.136006i
$829$	0.0253050	+	0.119051i	0.000878880	+	0.00413480i	0.978585	−	0.205844i	$-0.0659939\pi$
$829$	0.0253050	+	0.119051i	0.000878880	+	0.00413480i	−0.977706	+	0.209979i	$0.932661\pi$
$830$	−1.99986	−	5.34007i	−0.0694160	−	0.185356i
$831$	13.6577	−	6.77403i	0.473780	−	0.234988i
$832$	13.0472	+	13.0472i	0.452331	+	0.452331i
$833$	−24.4492	+	4.45978i	−0.847113	+	0.154522i
$834$	13.2547	−	0.551077i	0.458971	−	0.0190822i
$835$	−15.3330	+	26.0624i	−0.530619	+	0.901926i
$836$	1.09073	−	2.44982i	0.0377237	−	0.0847289i
$837$	−49.5849	−	24.0319i	−1.71391	−	0.830665i
$838$	1.35460	−	3.52885i	0.0467939	−	0.121902i
$839$	17.4882	−	12.7059i	0.603758	−	0.438656i	−0.243453	−	0.969913i	$-0.578280\pi$
$839$	17.4882	−	12.7059i	0.603758	−	0.438656i	0.847211	+	0.531257i	$0.178280\pi$
$840$	−8.69190	−	19.9134i	−0.299899	−	0.687078i
$841$	−2.70657	−	1.96644i	−0.0933301	−	0.0678083i
$842$	−39.2144	+	25.4662i	−1.35142	+	0.877622i
$843$	−7.27822	−	16.8345i	−0.250675	−	0.579810i
$844$	7.61688	+	6.85827i	0.262184	+	0.236071i
$845$	−8.47296	−	32.6897i	−0.291479	−	1.12456i
$846$	−17.3327	−	10.5130i	−0.595910	−	0.361443i
$847$	8.84473	−	0.103254i	0.303909	−	0.00354783i
$848$	54.6692	+	8.65876i	1.87735	+	0.297343i
$849$	13.1077	−	1.93108i	0.449855	−	0.0662746i
$850$	19.9165	−	21.4041i	0.683129	−	0.734154i
$851$	5.41833	−	3.12828i	0.185738	−	0.107236i
$852$	−1.66072	−	0.0179493i	−0.0568954	−	0.000614933i
$853$	2.66875	+	5.23772i	0.0913764	+	0.179336i	0.932171	−	0.362018i	$-0.117912\pi$
$853$	2.66875	+	5.23772i	0.0913764	+	0.179336i	−0.840795	+	0.541354i	$0.817912\pi$
$854$	4.17110	+	14.8702i	0.142732	+	0.508848i
$855$	−9.09294	−	0.748780i	−0.310972	−	0.0256077i
$856$	39.0238	+	8.29476i	1.33380	+	0.283509i
$857$	25.7890	+	6.91015i	0.880937	+	0.236046i	0.670811	−	0.741628i	$-0.265946\pi$
$857$	25.7890	+	6.91015i	0.880937	+	0.236046i	0.210125	+	0.977674i	$0.432613\pi$
$858$	27.6621	+	31.3977i	0.944368	+	1.07190i
$859$	−15.8863	−	35.6812i	−0.542033	−	1.21743i	−0.952217	−	0.305423i	$-0.901202\pi$
$859$	−15.8863	−	35.6812i	−0.542033	−	1.21743i	0.410184	−	0.912003i	$-0.365464\pi$
$860$	8.50388	−	11.5053i	0.289980	−	0.392328i
$861$	31.7872	−	10.3587i	1.08330	−	0.353024i
$862$	3.99076	+	25.1966i	0.135926	+	0.858201i
$863$	−43.8813	−	16.8444i	−1.49374	−	0.573391i	−0.531849	−	0.846839i	$-0.678503\pi$
$863$	−43.8813	−	16.8444i	−1.49374	−	0.573391i	−0.961887	+	0.273448i	$0.911836\pi$
$864$	−0.399642	−	20.0428i	−0.0135961	−	0.681872i
$865$	9.99543	+	9.14920i	0.339855	+	0.311082i
$866$	−19.9352	−	44.7752i	−0.677426	−	1.52152i
$867$	−1.50209	−	7.46247i	−0.0510137	−	0.253439i
$868$	−18.9398	+	6.39927i	−0.642857	+	0.217206i
$869$	5.94993	+	18.3120i	0.201838	+	0.621193i
$870$	29.7491	−	20.7623i	1.00859	−	0.703908i
$871$	20.9301	−	4.44882i	0.709188	−	0.150743i
$872$	5.70543	−	8.78559i	0.193210	−	0.297518i
$873$	−17.0835	+	13.2329i	−0.578188	+	0.447867i
$874$		−	14.6656i		−	0.496070i
$875$	18.3178	+	23.2263i	0.619254	+	0.785191i
$876$	−1.32310	+	1.04796i	−0.0447035	+	0.0354071i
$877$	−6.85685	+	8.46750i	−0.231539	+	0.285927i	−0.879653	−	0.475617i	$-0.842225\pi$
$877$	−6.85685	+	8.46750i	−0.231539	+	0.285927i	0.648113	+	0.761544i	$0.275558\pi$
$878$	13.2070	+	8.57670i	0.445713	+	0.289449i
$879$	−5.59539	+	6.75904i	−0.188728	+	0.227977i
$880$	30.3700	+	1.84105i	1.02377	+	0.0620618i
$881$	28.0125	−	9.10181i	0.943765	−	0.306648i	0.203586	−	0.979057i	$-0.434740\pi$
$881$	28.0125	−	9.10181i	0.943765	−	0.306648i	0.740180	+	0.672409i	$0.234740\pi$
$882$	12.3388	−	32.3108i	0.415469	−	1.08796i
$883$	35.6804	+	18.1801i	1.20074	+	0.611809i	0.935826	−	0.352463i	$-0.114656\pi$
$883$	35.6804	+	18.1801i	1.20074	+	0.611809i	0.264916	+	0.964271i	$0.414656\pi$
$884$	−12.2516	+	5.45474i	−0.412064	+	0.183463i
$885$	−1.42521	+	19.9399i	−0.0479081	+	0.670271i
$886$	15.8188	+	7.04298i	0.531443	+	0.236614i
$887$	11.8798	−	30.9480i	0.398885	−	1.03913i	−0.576202	−	0.817308i	$-0.695466\pi$
$887$	11.8798	−	30.9480i	0.398885	−	1.03913i	0.975087	−	0.221824i	$-0.0712009\pi$
$888$	2.58269	+	2.37650i	0.0866693	+	0.0797502i
$889$	−13.7603	+	11.4114i	−0.461506	+	0.382726i
$890$	−0.0409424	−	0.0302616i	−0.00137239	−	0.00101437i
$891$	−1.07628	+	24.8805i	−0.0360566	+	0.833529i
$892$	−13.9292	+	0.729996i	−0.466383	+	0.0244421i
$893$	1.44425	−	5.39002i	0.0483300	−	0.180370i
$894$	−16.3698	−	33.0045i	−0.547487	−	1.10384i
$895$	6.63913	+	44.2600i	0.221922	+	1.47945i
$896$	25.4521	+	24.8647i	0.850293	+	0.830670i
$897$	54.6494	+	25.0427i	1.82469	+	0.836150i
$898$	−2.65145	−	2.14710i	−0.0884800	−	0.0716497i
$899$	30.1550	+	52.2301i	1.00573	+	1.74197i
$900$	2.91440	+	10.2833i	0.0971468	+	0.342775i
$901$	19.9817	−	34.6094i	0.665689	−	1.15301i
$902$	−5.20119	+	32.8390i	−0.173181	+	1.09342i
$903$	−40.6364	+	6.47225i	−1.35230	+	0.215383i
$904$	19.6995	+	6.40076i	0.655196	+	0.212886i
$905$	6.13529	−	1.59023i	0.203944	−	0.0528610i
$906$	−18.5187	−	1.17134i	−0.615242	−	0.0389151i
$907$	−10.0133	+	37.3703i	−0.332488	+	1.24086i	0.574079	+	0.818800i	$0.305360\pi$
$907$	−10.0133	+	37.3703i	−0.332488	+	1.24086i	−0.906567	+	0.422062i	$0.861307\pi$
$908$	2.11398	+	3.25525i	0.0701550	+	0.108029i
$909$	9.97255	−	8.59640i	0.330769	−	0.285124i
$910$	−13.5426	−	49.8459i	−0.448934	−	1.65238i
$911$	−28.2766	−	38.9193i	−0.936844	−	1.28946i	−0.957129	−	0.289661i	$-0.906457\pi$
$911$	−28.2766	−	38.9193i	−0.936844	−	1.28946i	0.0202850	−	0.999794i	$-0.493543\pi$
$912$	11.0551	−	3.46038i	0.366071	−	0.114585i
$913$	−2.69630	−	3.32965i	−0.0892344	−	0.110195i
$914$	23.4952	+	10.4607i	0.777152	+	0.346010i
$915$	1.88946	+	13.5962i	0.0624636	+	0.449476i
$916$	15.7701	+	11.4577i	0.521059	+	0.378572i
$917$	−21.7328	−	29.1899i	−0.717680	−	0.963935i
$918$	−28.5773	−	10.3210i	−0.943192	−	0.340643i
$919$	3.73258	−	17.5604i	0.123126	−	0.579264i	−0.872721	−	0.488220i	$-0.837646\pi$
$919$	3.73258	−	17.5604i	0.123126	−	0.579264i	0.995847	−	0.0910438i	$-0.0290203\pi$
$920$	29.0702	−	10.8868i	0.958415	−	0.358927i
$921$	−38.2450	+	46.1987i	−1.26022	+	1.52230i
$922$	−2.78688	+	53.1769i	−0.0917812	+	1.75129i
$923$	7.04591	+	1.11596i	0.231919	+	0.0367324i
$924$	6.05169	+	6.70939i	0.199086	+	0.220723i
$925$	−4.22129	−	2.23866i	−0.138795	−	0.0736066i
$926$	3.71907	+	2.14721i	0.122216	+	0.0705616i
$927$	41.6090	−	5.67127i	1.36662	−	0.186269i
$928$	−11.9503	+	18.4019i	−0.392289	+	0.604071i
$929$	12.2046	+	13.5546i	0.400419	+	0.444711i	0.909309	−	0.416121i	$-0.136611\pi$
$929$	12.2046	+	13.5546i	0.400419	+	0.444711i	−0.508890	+	0.860832i	$0.669944\pi$
$930$	−66.4192	+	12.8044i	−2.17797	+	0.419873i
$931$	9.48908	+	0.773862i	0.310992	+	0.0253623i
$932$	−2.01880	+	2.01880i	−0.0661280	+	0.0661280i
$933$	−15.1668	−	5.10986i	−0.496539	−	0.167289i
$934$	2.96083	+	0.311196i	0.0968813	+	0.0101826i
$935$	9.09900	−	19.9945i	0.297569	−	0.653891i
$936$	−4.24894	+	33.4531i	−0.138881	+	1.09345i
$937$	−5.23337	−	33.0422i	−0.170967	−	1.07944i	−0.912665	−	0.408707i	$-0.865980\pi$
$937$	−5.23337	−	33.0422i	−0.170967	−	1.07944i	0.741699	−	0.670733i	$-0.234020\pi$
$938$	17.1604	−	3.85747i	0.560308	−	0.125951i
$939$	30.1540	+	8.43005i	0.984037	+	0.275104i
$940$	−6.50662	+	0.630062i	−0.212222	+	0.0205504i
$941$	14.3899	+	1.51243i	0.469096	+	0.0493040i	0.336128	−	0.941816i	$-0.390883\pi$
$941$	14.3899	+	1.51243i	0.469096	+	0.0493040i	0.132968	+	0.991120i	$0.457549\pi$
$942$	12.0731	+	13.7036i	0.393364	+	0.446486i
$943$	12.3623	+	46.1367i	0.402571	+	1.50242i
$944$	−7.84330	−	24.1392i	−0.255278	−	0.785663i
$945$	14.7427	−	26.9751i	0.479579	−	0.877499i
$946$	12.6456	−	38.9192i	0.411145	−	1.26537i
$947$	38.2663	+	2.00545i	1.24349	+	0.0651685i	0.662699	−	0.748886i	$-0.269411\pi$
$947$	38.2663	+	2.00545i	1.24349	+	0.0651685i	0.580789	+	0.814054i	$0.302744\pi$
$948$	4.37404	−	7.39044i	0.142062	−	0.240030i
$949$	6.27852	−	3.62491i	0.203809	−	0.117669i
$950$	−9.49187	+	5.94544i	−0.307957	+	0.192896i
$951$	−28.2853	−	35.7117i	−0.917212	−	1.15803i
$952$	18.1000	−	8.31316i	0.586625	−	0.269431i
$953$	−3.38328	+	1.72387i	−0.109595	+	0.0558416i	−0.507929	−	0.861399i	$-0.669589\pi$
$953$	−3.38328	+	1.72387i	−0.109595	+	0.0558416i	0.398333	+	0.917241i	$0.369589\pi$
$954$	26.7605	+	48.7547i	0.866403	+	1.57849i
$955$	30.0858	−	11.2671i	0.973555	−	0.364596i
$956$	−13.0955	−	11.7913i	−0.423539	−	0.381356i
$957$	16.2591	−	21.8776i	0.525583	−	0.707201i
$958$	−36.0810	−	18.3842i	−1.16572	−	0.593966i
$959$	2.45011	+	0.0997412i	0.0791182	+	0.00322081i
$960$	8.28308	+	10.6356i	0.267335	+	0.343262i
$961$	−8.51402	−	81.0055i	−0.274646	−	2.61308i
$962$	5.25078	+	6.48417i	0.169292	+	0.209058i
$963$	24.5326	+	50.8352i	0.790551	+	1.63814i
$964$	−16.8814	+	1.77431i	−0.543713	+	0.0571466i
$965$	−18.1344	+	54.2955i	−0.583768	+	1.74784i
$966$	45.1585	+	20.0590i	1.45295	+	0.645389i
$967$	−14.0663	+	27.6066i	−0.452340	+	0.887768i	0.546397	+	0.837527i	$0.315999\pi$
$967$	−14.0663	+	27.6066i	−0.452340	+	0.887768i	−0.998737	+	0.0502415i	$0.984001\pi$
$968$	−6.84744	+	1.83477i	−0.220085	+	0.0589716i
$969$	0.527965	−	8.34705i	0.0169607	−	0.268146i
$970$	−7.07527	+	25.5662i	−0.227173	+	0.820881i
$971$	26.0731	−	23.4763i	0.836726	−	0.753391i	−0.134662	−	0.990892i	$-0.542995\pi$
$971$	26.0731	−	23.4763i	0.836726	−	0.753391i	0.971387	+	0.237500i	$0.0763281\pi$
$972$	8.64393	−	6.97572i	0.277254	−	0.223746i
$973$	−12.2507	−	1.14318i	−0.392739	−	0.0366487i
$974$	−12.9782			−0.415848
$975$	−5.94681	−	45.5227i	−0.190450	−	1.45789i
$976$	−8.71422	−	15.0935i	−0.278936	−	0.483130i
$977$	23.2318	−	8.91783i	0.743250	−	0.285307i	0.0428732	−	0.999081i	$-0.486349\pi$
$977$	23.2318	−	8.91783i	0.743250	−	0.285307i	0.700376	+	0.713774i	$0.253016\pi$
$978$	38.7152	+	54.5164i	1.23798	+	1.74324i
$979$	−0.0363812	−	0.0118210i	−0.00116275	−	0.000377799i
$980$	−3.04964	−	10.7282i	−0.0974173	−	0.342698i
$981$	14.7700	−	1.23028i	0.471570	−	0.0392800i
$982$	−0.0990377	+	0.0265371i	−0.00316042	+	0.000846832i
$983$	−21.8126	+	1.14315i	−0.695714	+	0.0364608i	−0.396915	−	0.917855i	$-0.629919\pi$
$983$	−21.8126	+	1.14315i	−0.695714	+	0.0364608i	−0.298799	+	0.954316i	$0.596586\pi$
$984$	−22.6278	+	14.3494i	−0.721347	+	0.457441i
$985$	−20.1093	+	8.75668i	−0.640735	+	0.279011i
$986$	19.5474	+	26.9046i	0.622515	+	0.856818i
$987$	14.6217	+	11.8195i	0.465413	+	0.376218i
$988$	5.07426	−	0.803684i	0.161434	−	0.0255686i
$989$	−6.14503	−	58.4661i	−0.195401	−	1.85911i
$990$	17.2246	+	25.2574i	0.547433	+	0.802733i
$991$	3.75920	−	35.7664i	0.119415	−	1.13616i	−0.756602	−	0.653876i	$-0.773142\pi$
$991$	3.75920	−	35.7664i	0.119415	−	1.13616i	0.876016	−	0.482281i	$-0.160192\pi$
$992$	34.3114	−	22.2821i	1.08939	−	0.707457i
$993$	−0.164762	+	1.41982i	−0.00522857	+	0.0450567i
$994$	5.80198	+	0.849640i	0.184028	+	0.0269490i
$995$	−14.4680	−	28.9792i	−0.458667	−	0.918701i
$996$	−0.319319	+	1.88408i	−0.0101180	+	0.0596994i
$997$	−49.5823	−	32.1991i	−1.57029	−	1.01976i	−0.976601	−	0.215061i	$-0.931005\pi$
$997$	−49.5823	−	32.1991i	−1.57029	−	1.01976i	−0.593687	−	0.804696i	$-0.702328\pi$
$998$	8.29355	+	21.6054i	0.262528	+	0.683908i
$999$	−0.420496	+	4.94778i	−0.0133039	+	0.156541i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bs.a.2.19	✓	1216
3.2	odd	2	inner	525.2.bs.a.2.58	yes	1216
7.4	even	3	inner	525.2.bs.a.452.58	yes	1216
21.11	odd	6	inner	525.2.bs.a.452.19	yes	1216
25.13	odd	20	inner	525.2.bs.a.338.19	yes	1216
75.38	even	20	inner	525.2.bs.a.338.58	yes	1216
175.88	odd	60	inner	525.2.bs.a.263.58	yes	1216
525.263	even	60	inner	525.2.bs.a.263.19	yes	1216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bs.a.2.19	✓	1216	1.1	even	1	trivial
525.2.bs.a.2.58	yes	1216	3.2	odd	2	inner
525.2.bs.a.263.19	yes	1216	525.263	even	60	inner
525.2.bs.a.263.58	yes	1216	175.88	odd	60	inner
525.2.bs.a.338.19	yes	1216	25.13	odd	20	inner
525.2.bs.a.338.58	yes	1216	75.38	even	20	inner
525.2.bs.a.452.19	yes	1216	21.11	odd	6	inner
525.2.bs.a.452.58	yes	1216	7.4	even	3	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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.bs (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.27995 - 1.03648i) q^{2} +(-0.162421 - 1.72442i) q^{3} +(0.148148 + 0.696980i) q^{4} +(0.135304 - 2.23197i) q^{5} +(-1.57943 + 2.37551i) q^{6} +(1.74728 - 1.98671i) q^{7} +(-0.962644 + 1.88930i) q^{8} +(-2.94724 + 0.560165i) q^{9} +O(q^{10})\)	\(q+(-1.27995 - 1.03648i) q^{2} +(-0.162421 - 1.72442i) q^{3} +(0.148148 + 0.696980i) q^{4} +(0.135304 - 2.23197i) q^{5} +(-1.57943 + 2.37551i) q^{6} +(1.74728 - 1.98671i) q^{7} +(-0.962644 + 1.88930i) q^{8} +(-2.94724 + 0.560165i) q^{9} +(-2.48657 + 2.71656i) q^{10} +(-1.12548 + 2.52786i) q^{11} +(1.17782 - 0.368673i) q^{12} +(-5.23590 + 0.829285i) q^{13} +(-4.29561 + 0.731857i) q^{14} +(-3.87083 + 0.129200i) q^{15} +(4.49224 - 2.00008i) q^{16} +(-0.185812 - 3.54550i) q^{17} +(4.35290 + 2.33777i) q^{18} +(-0.282777 + 1.33036i) q^{19} +(1.57568 - 0.236357i) q^{20} +(-3.70971 - 2.69036i) q^{21} +(4.06062 - 2.06899i) q^{22} +(4.12017 - 5.08799i) q^{23} +(3.41429 + 1.35314i) q^{24} +(-4.96339 - 0.603987i) q^{25} +(7.56121 + 4.36546i) q^{26} +(1.44465 + 4.99129i) q^{27} +(1.64355 + 0.923494i) q^{28} +(1.75748 - 5.40895i) q^{29} +(5.08836 + 3.84667i) q^{30} +(-7.09568 + 7.88055i) q^{31} +(-3.72656 - 0.998528i) q^{32} +(4.54189 + 1.53021i) q^{33} +(-3.43701 + 4.73064i) q^{34} +(-4.19786 - 4.16869i) q^{35} +(-0.827050 - 1.97118i) q^{36} +(0.892161 + 0.342468i) q^{37} +(1.74083 - 1.40970i) q^{38} +(2.28046 + 8.89419i) q^{39} +(4.08660 + 2.40422i) q^{40} +(-4.28822 + 5.90223i) q^{41} +(1.95973 + 7.28856i) q^{42} +(6.34937 - 6.34937i) q^{43} +(-1.92861 - 0.409938i) q^{44} +(0.851500 + 6.65394i) q^{45} +(-10.5472 + 2.24188i) q^{46} +(-4.09718 - 0.214724i) q^{47} +(-4.17860 - 7.42165i) q^{48} +(-0.894018 - 6.94267i) q^{49} +(5.72684 + 5.91752i) q^{50} +(-6.08375 + 0.896283i) q^{51} +(-1.35368 - 3.52646i) q^{52} +(9.44020 + 6.13054i) q^{53} +(3.32429 - 7.88593i) q^{54} +(5.48983 + 2.85406i) q^{55} +(2.07147 + 5.21362i) q^{56} +(2.34003 + 0.271547i) q^{57} +(-7.85574 + 5.10158i) q^{58} +(0.539533 - 5.13331i) q^{59} +(-0.663504 - 2.67875i) q^{60} +(-0.370476 - 3.52484i) q^{61} +(17.2501 - 2.73215i) q^{62} +(-4.03677 + 6.83407i) q^{63} +(-2.04588 - 2.81592i) q^{64} +(1.14250 + 11.7986i) q^{65} +(-4.22734 - 6.66617i) q^{66} +(-4.03087 + 0.211249i) q^{67} +(2.44362 - 0.654765i) q^{68} +(-9.44303 - 6.27851i) q^{69} +(1.05227 + 9.68669i) q^{70} +(-1.27983 - 0.415842i) q^{71} +(1.77882 - 6.10744i) q^{72} +(-1.27675 + 0.490100i) q^{73} +(-0.786956 - 1.36305i) q^{74} +(-0.235367 + 8.65706i) q^{75} -0.969129 q^{76} +(3.05560 + 6.65288i) q^{77} +(6.29978 - 13.7477i) q^{78} +(5.17107 - 4.65605i) q^{79} +(-3.85629 - 10.2972i) q^{80} +(8.37243 - 3.30188i) q^{81} +(11.6062 - 3.10988i) q^{82} +(-0.702942 + 1.37960i) q^{83} +(1.32554 - 2.98417i) q^{84} +(-7.93860 - 0.0649925i) q^{85} +(-14.7078 + 1.54586i) q^{86} +(-9.61275 - 2.15209i) q^{87} +(-3.69244 - 4.55979i) q^{88} +(0.00144505 + 0.0137487i) q^{89} +(5.80680 - 9.39925i) q^{90} +(-7.50104 + 11.8512i) q^{91} +(4.15662 + 2.11791i) q^{92} +(14.7419 + 10.9559i) q^{93} +(5.02161 + 4.52148i) q^{94} +(2.93107 + 0.811154i) q^{95} +(-1.11661 + 6.58833i) q^{96} +(6.41797 - 3.27012i) q^{97} +(-6.05165 + 9.81288i) q^{98} +(1.90103 - 8.08066i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9}+O(q^{10}) \) 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9	\( 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9} - 12 q^{10} - 64 q^{13} - 44 q^{15} - 140 q^{16} - 24 q^{18} - 20 q^{19} - 12 q^{21} + 8 q^{22} - 24 q^{25} - 80 q^{27} - 40 q^{28} - 50 q^{30} - 12 q^{31} - 6 q^{33} - 80 q^{34} + 8 q^{36} - 24 q^{37} - 50 q^{39} - 4 q^{40} - 34 q^{42} - 96 q^{43} + 30 q^{45} - 12 q^{46} - 44 q^{48} - 16 q^{51} - 136 q^{52} - 10 q^{54} - 40 q^{55} - 112 q^{57} - 76 q^{58} - 60 q^{60} - 12 q^{61} - 14 q^{63} - 80 q^{64} - 30 q^{66} - 32 q^{67} + 100 q^{69} - 100 q^{70} + 24 q^{72} - 72 q^{73} - 96 q^{75} - 64 q^{76} + 20 q^{78} - 20 q^{79} - 6 q^{81} - 204 q^{82} + 100 q^{84} - 56 q^{85} + 36 q^{87} - 140 q^{88} + 164 q^{90} - 24 q^{91} + 34 q^{93} - 20 q^{94} - 30 q^{96} - 240 q^{97}+O(q^{100}) \) 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9 - 12 * q^10 - 64 * q^13 - 44 * q^15 - 140 * q^16 - 24 * q^18 - 20 * q^19 - 12 * q^21 + 8 * q^22 - 24 * q^25 - 80 * q^27 - 40 * q^28 - 50 * q^30 - 12 * q^31 - 6 * q^33 - 80 * q^34 + 8 * q^36 - 24 * q^37 - 50 * q^39 - 4 * q^40 - 34 * q^42 - 96 * q^43 + 30 * q^45 - 12 * q^46 - 44 * q^48 - 16 * q^51 - 136 * q^52 - 10 * q^54 - 40 * q^55 - 112 * q^57 - 76 * q^58 - 60 * q^60 - 12 * q^61 - 14 * q^63 - 80 * q^64 - 30 * q^66 - 32 * q^67 + 100 * q^69 - 100 * q^70 + 24 * q^72 - 72 * q^73 - 96 * q^75 - 64 * q^76 + 20 * q^78 - 20 * q^79 - 6 * q^81 - 204 * q^82 + 100 * q^84 - 56 * q^85 + 36 * q^87 - 140 * q^88 + 164 * q^90 - 24 * q^91 + 34 * q^93 - 20 * q^94 - 30 * q^96 - 240 * q^97

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