LMFDB - Embedded newform 570.2.bi.a.17.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

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

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

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, degree $12$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			17.6
Character	$\chi$	$=$	570.17
Dual form			570.2.bi.a.503.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.573576 - 0.819152i) q^{2} +(-0.949742 - 1.44844i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(0.0415911 + 2.23568i) q^{5} +(-0.641746 + 1.60878i) q^{6} +(0.955789 - 3.56705i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-1.19598 + 2.75130i) q^{9} +O(q^{10})$	\(q+(-0.573576 - 0.819152i) q^{2} +(-0.949742 - 1.44844i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(0.0415911 + 2.23568i) q^{5} +(-0.641746 + 1.60878i) q^{6} +(0.955789 - 3.56705i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-1.19598 + 2.75130i) q^{9} +(1.80751 - 1.31640i) q^{10} +(0.294826 + 0.170218i) q^{11} +(1.68592 - 0.397069i) q^{12} +(0.366118 - 4.18475i) q^{13} +(-3.47018 + 1.26304i) q^{14} +(3.19876 - 2.18356i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(3.21771 + 4.59537i) q^{17} +(2.93972 - 0.598391i) q^{18} +(-1.82520 - 3.95837i) q^{19} +(-2.11508 - 0.725565i) q^{20} +(-6.07443 + 2.00338i) q^{21} +(-0.0296709 - 0.339140i) q^{22} +(-3.81128 - 8.17331i) q^{23} +(-1.29227 - 1.15328i) q^{24} +(-4.99654 + 0.185969i) q^{25} +(-3.63794 + 2.10037i) q^{26} +(5.12097 - 0.880716i) q^{27} +(3.02503 + 2.11815i) q^{28} +(-0.583724 - 3.31046i) q^{29} +(-3.62340 - 1.36783i) q^{30} +(-2.44632 - 4.23715i) q^{31} +(-0.0871557 + 0.996195i) q^{32} +(-0.0334578 - 0.588702i) q^{33} +(1.91870 - 5.27159i) q^{34} +(8.01455 + 1.98848i) q^{35} +(-2.17632 - 2.06485i) q^{36} +(1.23491 + 1.23491i) q^{37} +(-2.19561 + 3.76554i) q^{38} +(-6.40909 + 3.44413i) q^{39} +(0.618811 + 2.14874i) q^{40} +(-1.92901 + 2.29890i) q^{41} +(5.12522 + 3.82679i) q^{42} +(-2.90026 + 6.21962i) q^{43} +(-0.260789 + 0.218828i) q^{44} +(-6.20077 - 2.55940i) q^{45} +(-4.50913 + 7.81003i) q^{46} +(-7.54602 - 5.28378i) q^{47} +(-0.203497 + 1.72005i) q^{48} +(-5.74816 - 3.31870i) q^{49} +(3.01823 + 3.98626i) q^{50} +(3.60013 - 9.02509i) q^{51} +(3.80716 + 1.77531i) q^{52} +(-3.01241 - 6.46013i) q^{53} +(-3.65871 - 3.68970i) q^{54} +(-0.368291 + 0.666216i) q^{55} -3.69289i q^{56} +(-4.00000 + 6.40312i) q^{57} +(-2.37696 + 2.37696i) q^{58} +(-0.998240 + 5.66130i) q^{59} +(0.957839 + 3.75267i) q^{60} +(-2.81708 - 1.02533i) q^{61} +(-2.06772 + 4.43423i) q^{62} +(8.67092 + 6.89578i) q^{63} +(0.866025 - 0.500000i) q^{64} +(9.37099 + 0.644475i) q^{65} +(-0.463046 + 0.365073i) q^{66} +(2.53737 - 3.62374i) q^{67} +(-5.41875 + 1.45195i) q^{68} +(-8.21885 + 13.2830i) q^{69} +(-2.96809 - 7.70568i) q^{70} +(2.31390 + 6.35740i) q^{71} +(-0.443138 + 2.96709i) q^{72} +(2.71990 - 0.237960i) q^{73} +(0.303263 - 1.71989i) q^{74} +(5.01479 + 7.06059i) q^{75} +(4.34390 - 0.361282i) q^{76} +(0.888968 - 0.888968i) q^{77} +(6.49737 + 3.27455i) q^{78} +(10.8537 - 12.9349i) q^{79} +(1.40521 - 1.73937i) q^{80} +(-6.13927 - 6.58098i) q^{81} +(2.98958 + 0.261554i) q^{82} +(0.258296 - 0.963975i) q^{83} +(0.195020 - 6.39329i) q^{84} +(-10.1399 + 7.38490i) q^{85} +(6.75833 - 1.19168i) q^{86} +(-4.24063 + 3.98958i) q^{87} +(0.328836 + 0.0881113i) q^{88} +(7.90618 - 6.63407i) q^{89} +(1.46008 + 6.54738i) q^{90} +(-14.5773 - 5.30570i) q^{91} +(8.98393 - 0.785992i) q^{92} +(-3.81390 + 7.56755i) q^{93} +9.21199i q^{94} +(8.77373 - 4.24519i) q^{95} +(1.52571 - 0.819888i) q^{96} +(7.23427 - 5.06549i) q^{97} +(0.578488 + 6.61214i) q^{98} +(-0.820925 + 0.607577i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.573576	−	0.819152i	−0.405580	−	0.579228i
$2$	−0.573576	−	0.819152i	−0.405580	−	0.579228i
$3$	−0.949742	−	1.44844i	−0.548334	−	0.836259i
$3$	−0.949742	−	1.44844i	−0.548334	−	0.836259i
$4$	−0.342020	+	0.939693i	−0.171010	+	0.469846i
$5$	0.0415911	+	2.23568i	0.0186001	+	0.999827i
$5$	0.0415911	+	2.23568i	0.0186001	+	0.999827i
$6$	−0.641746	+	1.60878i	−0.261992	+	0.656780i
$7$	0.955789	−	3.56705i	0.361254	−	1.34822i	−0.511174	−	0.859477i	$-0.670789\pi$
$7$	0.955789	−	3.56705i	0.361254	−	1.34822i	0.872428	−	0.488742i	$-0.162544\pi$
$8$	0.965926	−	0.258819i	0.341506	−	0.0915064i
$9$	−1.19598	+	2.75130i	−0.398659	+	0.917099i
$10$	1.80751	−	1.31640i	0.571584	−	0.416283i
$11$	0.294826	+	0.170218i	0.0888934	+	0.0513226i	0.543788	−	0.839223i	$-0.316990\pi$
$11$	0.294826	+	0.170218i	0.0888934	+	0.0513226i	−0.454894	+	0.890545i	$0.650323\pi$
$12$	1.68592	−	0.397069i	0.486684	−	0.114624i
$13$	0.366118	−	4.18475i	0.101543	−	1.16064i	−0.758940	−	0.651161i	$-0.774282\pi$
$13$	0.366118	−	4.18475i	0.101543	−	1.16064i	0.860483	−	0.509480i	$-0.170162\pi$
$14$	−3.47018	+	1.26304i	−0.927444	+	0.337562i
$15$	3.19876	−	2.18356i	0.825916	−	0.563794i
$16$	−0.766044	−	0.642788i	−0.191511	−	0.160697i
$17$	3.21771	+	4.59537i	0.780409	+	1.11454i	0.990588	+	0.136877i	$0.0437066\pi$
$17$	3.21771	+	4.59537i	0.780409	+	1.11454i	−0.210179	+	0.977663i	$0.567405\pi$
$18$	2.93972	−	0.598391i	0.692898	−	0.141042i
$19$	−1.82520	−	3.95837i	−0.418729	−	0.908111i
$19$	−1.82520	−	3.95837i	−0.418729	−	0.908111i
$20$	−2.11508	−	0.725565i	−0.472946	−	0.162241i
$21$	−6.07443	+	2.00338i	−1.32555	+	0.437172i
$22$	−0.0296709	−	0.339140i	−0.00632586	−	0.0723050i
$23$	−3.81128	−	8.17331i	−0.794706	−	1.70425i	−0.706018	−	0.708194i	$-0.749510\pi$
$23$	−3.81128	−	8.17331i	−0.794706	−	1.70425i	−0.0886883	−	0.996059i	$-0.528267\pi$
$24$	−1.29227	−	1.15328i	−0.263783	−	0.235412i
$25$	−4.99654	+	0.185969i	−0.999308	+	0.0371937i
$26$	−3.63794	+	2.10037i	−0.713459	+	0.411916i
$27$	5.12097	−	0.880716i	0.985531	−	0.169494i
$28$	3.02503	+	2.11815i	0.571678	+	0.400293i
$29$	−0.583724	−	3.31046i	−0.108395	−	0.614737i	−0.989810	−	0.142395i	$-0.954520\pi$
$29$	−0.583724	−	3.31046i	−0.108395	−	0.614737i	0.881415	−	0.472342i	$-0.156591\pi$
$30$	−3.62340	−	1.36783i	−0.661540	−	0.249730i
$31$	−2.44632	−	4.23715i	−0.439372	−	0.761014i	0.558269	−	0.829660i	$-0.311466\pi$
$31$	−2.44632	−	4.23715i	−0.439372	−	0.761014i	−0.997641	+	0.0686457i	$0.978132\pi$
$32$	−0.0871557	+	0.996195i	−0.0154071	+	0.176104i
$33$	−0.0334578	−	0.588702i	−0.00582425	−	0.102480i
$34$	1.91870	−	5.27159i	0.329055	−	0.904070i
$35$	8.01455	+	1.98848i	1.35471	+	0.336115i
$36$	−2.17632	−	2.06485i	−0.362721	−	0.344142i
$37$	1.23491	+	1.23491i	0.203017	+	0.203017i	0.801291	−	0.598274i	$-0.204147\pi$
$37$	1.23491	+	1.23491i	0.203017	+	0.203017i	−0.598274	+	0.801291i	$0.704147\pi$
$38$	−2.19561	+	3.76554i	−0.356176	+	0.610851i
$39$	−6.40909	+	3.44413i	−1.02628	+	0.551503i
$40$	0.618811	+	2.14874i	0.0978426	+	0.339745i
$41$	−1.92901	+	2.29890i	−0.301260	+	0.359028i	−0.895344	−	0.445375i	$-0.853070\pi$
$41$	−1.92901	+	2.29890i	−0.301260	+	0.359028i	0.594084	+	0.804403i	$0.297515\pi$
$42$	5.12522	+	3.82679i	0.790838	+	0.590487i
$43$	−2.90026	+	6.21962i	−0.442285	+	0.948483i	0.551184	+	0.834383i	$0.314176\pi$
$43$	−2.90026	+	6.21962i	−0.442285	+	0.948483i	−0.993469	+	0.114100i	$0.963602\pi$
$44$	−0.260789	+	0.218828i	−0.0393154	+	0.0329895i
$45$	−6.20077	−	2.55940i	−0.924355	−	0.381532i
$46$	−4.50913	+	7.81003i	−0.664834	+	1.15153i
$47$	−7.54602	−	5.28378i	−1.10070	−	0.770718i	−0.125511	−	0.992092i	$-0.540057\pi$
$47$	−7.54602	−	5.28378i	−1.10070	−	0.770718i	−0.975189	+	0.221374i	$0.928946\pi$
$48$	−0.203497	+	1.72005i	−0.0293722	+	0.248269i
$49$	−5.74816	−	3.31870i	−0.821165	−	0.474100i
$50$	3.01823	+	3.98626i	0.426843	+	0.563742i
$51$	3.60013	−	9.02509i	0.504120	−	1.26377i
$52$	3.80716	+	1.77531i	0.527958	+	0.246191i
$53$	−3.01241	−	6.46013i	−0.413786	−	0.887368i	−0.997171	−	0.0751714i	$-0.976050\pi$
$53$	−3.01241	−	6.46013i	−0.413786	−	0.887368i	0.583384	−	0.812196i	$-0.301728\pi$
$54$	−3.65871	−	3.68970i	−0.497887	−	0.502104i
$55$	−0.368291	+	0.666216i	−0.0496603	+	0.0898326i
$56$		−	3.69289i		−	0.493483i
$57$	−4.00000	+	6.40312i	−0.529813	+	0.848114i
$58$	−2.37696	+	2.37696i	−0.312110	+	0.312110i
$59$	−0.998240	+	5.66130i	−0.129960	+	0.737038i	0.848278	+	0.529551i	$0.177640\pi$
$59$	−0.998240	+	5.66130i	−0.129960	+	0.737038i	−0.978238	+	0.207487i	$0.933471\pi$
$60$	0.957839	+	3.75267i	0.123657	+	0.484468i
$61$	−2.81708	−	1.02533i	−0.360690	−	0.131280i	0.155317	−	0.987865i	$-0.450360\pi$
$61$	−2.81708	−	1.02533i	−0.360690	−	0.131280i	−0.516007	+	0.856584i	$0.672582\pi$
$62$	−2.06772	+	4.43423i	−0.262600	+	0.563148i
$63$	8.67092	+	6.89578i	1.09243	+	0.868786i
$64$	0.866025	−	0.500000i	0.108253	−	0.0625000i
$65$	9.37099	+	0.644475i	1.16233	+	0.0799373i
$66$	−0.463046	+	0.365073i	−0.0569970	+	0.0449373i
$67$	2.53737	−	3.62374i	0.309989	−	0.442710i	−0.633683	−	0.773593i	$-0.718458\pi$
$67$	2.53737	−	3.62374i	0.309989	−	0.442710i	0.943672	+	0.330883i	$0.107346\pi$
$68$	−5.41875	+	1.45195i	−0.657120	+	0.176075i
$69$	−8.21885	+	13.2830i	−0.989433	+	1.59908i
$70$	−2.96809	−	7.70568i	−0.354754	−	0.921005i
$71$	2.31390	+	6.35740i	0.274610	+	0.754484i	0.997950	+	0.0639927i	$0.0203834\pi$
$71$	2.31390	+	6.35740i	0.274610	+	0.754484i	−0.723341	+	0.690491i	$0.757394\pi$
$72$	−0.443138	+	2.96709i	−0.0522244	+	0.349675i
$73$	2.71990	−	0.237960i	0.318340	−	0.0278511i	0.0731340	−	0.997322i	$-0.476700\pi$
$73$	2.71990	−	0.237960i	0.318340	−	0.0278511i	0.245206	+	0.969471i	$0.421144\pi$
$74$	0.303263	−	1.71989i	0.0352536	−	0.199933i
$75$	5.01479	+	7.06059i	0.579058	+	0.815286i
$76$	4.34390	−	0.361282i	0.498280	−	0.0414419i
$77$	0.888968	−	0.888968i	0.101307	−	0.101307i
$78$	6.49737	+	3.27455i	0.735683	+	0.370770i
$79$	10.8537	−	12.9349i	1.22114	−	1.45529i	0.371081	−	0.928600i	$-0.378987\pi$
$79$	10.8537	−	12.9349i	1.22114	−	1.45529i	0.850055	−	0.526694i	$-0.176568\pi$
$80$	1.40521	−	1.73937i	0.157107	−	0.194467i
$81$	−6.13927	−	6.58098i	−0.682141	−	0.731220i
$82$	2.98958	+	0.261554i	0.330144	+	0.0288839i
$83$	0.258296	−	0.963975i	0.0283517	−	0.105810i	−0.950300	−	0.311336i	$-0.899224\pi$
$83$	0.258296	−	0.963975i	0.0283517	−	0.105810i	0.978652	+	0.205526i	$0.0658904\pi$
$84$	0.195020	−	6.39329i	0.0212784	−	0.697565i
$85$	−10.1399	+	7.38490i	−1.09983	+	0.801005i
$86$	6.75833	−	1.19168i	0.728770	−	0.128502i
$87$	−4.24063	+	3.98958i	−0.454643	+	0.427727i
$88$	0.328836	+	0.0881113i	0.0350540	+	0.00939269i
$89$	7.90618	−	6.63407i	0.838054	−	0.703210i	−0.119071	−	0.992886i	$-0.537992\pi$
$89$	7.90618	−	6.63407i	0.838054	−	0.703210i	0.957125	+	0.289675i	$0.0935473\pi$
$90$	1.46008	+	6.54738i	0.153906	+	0.690154i
$91$	−14.5773	−	5.30570i	−1.52812	−	0.556189i
$92$	8.98393	−	0.785992i	0.936640	−	0.0819454i
$93$	−3.81390	+	7.56755i	−0.395483	+	0.784719i
$94$			9.21199i			0.950144i
$95$	8.77373	−	4.24519i	0.900166	−	0.435547i
$96$	1.52571	−	0.819888i	0.155717	−	0.0836795i
$97$	7.23427	−	5.06549i	0.734529	−	0.514322i	−0.145433	−	0.989368i	$-0.546457\pi$
$97$	7.23427	−	5.06549i	0.734529	−	0.514322i	0.879961	+	0.475046i	$0.157568\pi$
$98$	0.578488	+	6.61214i	0.0584361	+	0.667927i
$99$	−0.820925	+	0.607577i	−0.0825061	+	0.0610638i
$100$	1.53416	−	4.75882i	0.153416	−	0.475882i
$101$	8.15454	+	9.71820i	0.811407	+	0.966997i	0.999886	−	0.0150800i	$-0.00480030\pi$
$101$	8.15454	+	9.71820i	0.811407	+	0.966997i	−0.188479	+	0.982077i	$0.560356\pi$
$102$	−9.45787	+	2.22752i	−0.936469	+	0.220557i
$103$	−1.45611	−	5.43426i	−0.143474	−	0.535454i	−0.999819	−	0.0190483i	$-0.993936\pi$
$103$	−1.45611	−	5.43426i	−0.143474	−	0.535454i	0.856344	−	0.516406i	$-0.172730\pi$
$104$	−0.729450	−	4.13692i	−0.0715285	−	0.405658i
$105$	−4.73155	−	13.4972i	−0.461752	−	1.31719i
$106$	−3.56398	+	6.17300i	−0.346165	+	0.599575i
$107$	−0.926887	−	0.248359i	−0.0896056	−	0.0240097i	0.213738	−	0.976891i	$-0.431436\pi$
$107$	−0.926887	−	0.248359i	−0.0896056	−	0.0240097i	−0.303343	+	0.952881i	$0.598103\pi$
$108$	−0.923872	+	5.11336i	−0.0888997	+	0.492033i
$109$	−1.82117	−	5.00362i	−0.174436	−	0.479260i	0.821407	−	0.570342i	$-0.193190\pi$
$109$	−1.82117	−	5.00362i	−0.174436	−	0.479260i	−0.995843	+	0.0910826i	$0.970967\pi$
$110$	0.756976	−	0.0804399i	0.0721748	−	0.00766965i
$111$	0.615849	−	2.96154i	0.0584538	−	0.281097i
$112$	−3.02503	+	2.11815i	−0.285839	+	0.200147i
$113$	−0.335624	−	0.335624i	−0.0315728	−	0.0315728i	0.691144	−	0.722717i	$-0.257107\pi$
$113$	−0.335624	−	0.335624i	−0.0315728	−	0.0315728i	−0.722717	+	0.691144i	$0.757107\pi$
$114$	7.53944	−	0.396068i	0.706133	−	0.0370952i
$115$	18.1144	−	8.86074i	1.68918	−	0.826268i
$116$	3.31046	+	0.583724i	0.307369	+	0.0541974i
$117$	11.0756	+	6.01217i	1.02394	+	0.555825i
$118$	5.21003	−	2.42948i	0.479622	−	0.223652i
$119$	19.4674	−	7.08554i	1.78457	−	0.649531i
$120$	2.52461	−	2.93706i	0.230465	−	0.268116i
$121$	−5.44205	−	9.42591i	−0.494732	−	0.856901i
$122$	0.775906	+	2.89572i	0.0702472	+	0.262166i
$123$	5.16189	+	0.610694i	0.465432	+	0.0550644i
$124$	4.81831	−	0.849597i	0.432697	−	0.0762961i
$125$	−0.623578	−	11.1629i	−0.0557745	−	0.998443i
$126$	0.675255	−	11.0581i	0.0601565	−	0.985130i
$127$	17.8200	+	1.55905i	1.58127	+	0.138343i	0.843658	−	0.536882i	$-0.180398\pi$
$127$	17.8200	+	1.55905i	1.58127	+	0.138343i	0.737612	+	0.675225i	$0.235953\pi$
$128$	−0.906308	−	0.422618i	−0.0801070	−	0.0373545i
$129$	11.7633	−	1.70618i	1.03570	−	0.150221i
$130$	−4.84706	−	8.04593i	−0.425115	−	0.705674i
$131$	−15.6976	−	2.76792i	−1.37151	−	0.241834i	−0.561124	−	0.827732i	$-0.689631\pi$
$131$	−15.6976	−	2.76792i	−1.37151	−	0.241834i	−0.810385	+	0.585898i	$0.800742\pi$
$132$	0.564642	+	0.169908i	0.0491458	+	0.0147886i
$133$	−15.8642	+	2.72721i	−1.37560	+	0.236479i
$134$	−4.42377			−0.382155
$135$	2.18199	+	11.4122i	0.187796	+	0.982208i
$136$	4.29744	+	3.60598i	0.368502	+	0.309210i
$137$	12.2646	−	5.71910i	1.04784	−	0.488615i	0.179072	−	0.983836i	$-0.442691\pi$
$137$	12.2646	−	5.71910i	1.04784	−	0.488615i	0.868767	+	0.495221i	$0.164913\pi$
$138$	15.5949	−	0.886307i	1.32753	−	0.0754475i
$139$	9.53660	+	11.3653i	0.808884	+	0.963990i	0.999845	−	0.0176072i	$-0.00560482\pi$
$139$	9.53660	+	11.3653i	0.808884	+	0.963990i	−0.190961	+	0.981598i	$0.561160\pi$
$140$	−4.60970	+	6.85111i	−0.389591	+	0.579024i
$141$	−0.486482	+	15.9482i	−0.0409692	+	1.34308i
$142$	3.88047	−	5.54189i	0.325642	−	0.465065i
$143$	0.820260	−	1.17145i	0.0685936	−	0.0979618i
$144$	2.68467	−	1.33886i	0.223723	−	0.111571i
$145$	7.37686	−	1.44271i	0.612615	−	0.119810i
$146$	−1.75500	−	2.09152i	−0.145244	−	0.173096i
$147$	0.652319	+	11.4778i	0.0538024	+	0.946672i
$148$	−1.58280	+	0.738070i	−0.130105	+	0.0606689i
$149$	−3.55744	−	2.98505i	−0.291437	−	0.244545i	0.485333	−	0.874330i	$-0.338699\pi$
$149$	−3.55744	−	2.98505i	−0.291437	−	0.244545i	−0.776769	+	0.629785i	$0.783143\pi$
$150$	2.90733	−	8.15766i	0.237382	−	0.666070i
$151$	−2.95211			−0.240240			−0.120120	−	0.992759i	$-0.538328\pi$
$151$	−2.95211			−0.240240			−0.120120	+	0.992759i	$0.538328\pi$
$152$	−2.78750	−	3.35109i	−0.226096	−	0.271809i
$153$	−16.4915	+	3.35692i	−1.33326	+	0.271391i
$154$	−1.23809	−	0.218309i	−0.0997682	−	0.0175918i
$155$	9.37116	−	5.64541i	0.752710	−	0.453451i
$156$	−1.04439	−	7.20054i	−0.0836179	−	0.576505i
$157$	−2.17386	−	1.01369i	−0.173493	−	0.0809012i	0.333931	−	0.942597i	$-0.391625\pi$
$157$	−2.17386	−	1.01369i	−0.173493	−	0.0809012i	−0.507425	+	0.861696i	$0.669402\pi$
$158$	−16.8211	−	1.47166i	−1.33822	−	0.117079i
$159$	−6.49613	+	10.4988i	−0.515176	+	0.832607i
$160$	−2.23080	−	0.153420i	−0.176360	−	0.0121289i
$161$	−32.7974	+	5.78307i	−2.58480	+	0.455770i
$162$	−1.86948	+	8.80369i	−0.146881	+	0.691684i
$163$	6.35892	+	23.7318i	0.498069	+	1.85882i	0.512114	+	0.858917i	$0.328862\pi$
$163$	6.35892	+	23.7318i	0.498069	+	1.85882i	−0.0140454	+	0.999901i	$0.504471\pi$
$164$	−1.50050	−	2.59894i	−0.117169	−	0.202943i
$165$	1.31476	−	0.0992857i	0.102354	−	0.00772938i
$166$	−0.937795	+	0.341329i	−0.0727870	+	0.0264923i
$167$	−7.87714	+	3.67317i	−0.609552	+	0.284239i	−0.702781	−	0.711406i	$-0.748059\pi$
$167$	−7.87714	+	3.67317i	−0.609552	+	0.284239i	0.0932295	+	0.995645i	$0.470281\pi$
$168$	−5.34894	+	3.50729i	−0.412679	+	0.270593i
$169$	−4.57559	−	0.806800i	−0.351969	−	0.0620615i
$170$	11.8654	+	4.07035i	0.910034	+	0.312182i
$171$	13.0735	−	0.287536i	0.999758	−	0.0219885i
$172$	−4.85258	−	4.85258i	−0.370006	−	0.370006i
$173$	10.2589	−	7.18338i	0.779973	−	0.546143i	−0.114416	−	0.993433i	$-0.536500\pi$
$173$	10.2589	−	7.18338i	0.779973	−	0.546143i	0.894389	+	0.447290i	$0.147611\pi$
$174$	5.70039	+	1.18539i	0.432146	+	0.0898644i
$175$	−4.11228	+	18.0007i	−0.310859	+	1.36072i
$176$	−0.116436	−	0.319905i	−0.00877668	−	0.0241137i
$177$	9.14815	−	3.93088i	0.687617	−	0.295463i
$178$	−9.96911	−	2.67122i	−0.747217	−	0.200216i
$179$	−9.99794	+	17.3169i	−0.747281	+	1.29433i	0.201840	+	0.979419i	$0.435308\pi$
$179$	−9.99794	+	17.3169i	−0.747281	+	1.29433i	−0.949121	+	0.314911i	$0.898025\pi$
$180$	4.52583	−	4.95145i	0.337336	−	0.369059i
$181$	3.44299	+	19.5261i	0.255915	+	1.45137i	0.793713	+	0.608293i	$0.208145\pi$
$181$	3.44299	+	19.5261i	0.255915	+	1.45137i	−0.537797	+	0.843074i	$0.680743\pi$
$182$	4.01502	+	14.9842i	0.297613	+	1.11071i
$183$	1.19036	+	5.05418i	0.0879940	+	0.373615i
$184$	−5.79682	−	6.90838i	−0.427347	−	0.509293i
$185$	−2.70950	+	2.81222i	−0.199206	+	0.206758i
$186$	8.38654	−	1.21641i	0.614931	−	0.0891914i
$187$	0.166451	+	1.90255i	0.0121721	+	0.139128i
$188$	7.54602	−	5.28378i	0.550350	−	0.385359i
$189$	1.75301	−	19.1086i	0.127512	−	1.38994i
$190$	−8.50986	−	4.75208i	−0.617370	−	0.344752i
$191$			21.8472i			1.58081i	0.612585	+	0.790405i	$0.290130\pi$
$191$			21.8472i			1.58081i	−0.612585	+	0.790405i	$0.709870\pi$
$192$	−1.54672	−	0.779518i	−0.111625	−	0.0562569i
$193$	12.2962	−	1.07578i	0.885101	−	0.0774363i	0.364467	−	0.931216i	$-0.381251\pi$
$193$	12.2962	−	1.07578i	0.885101	−	0.0774363i	0.520634	+	0.853780i	$0.325696\pi$
$194$	−8.29881	−	3.02052i	−0.595820	−	0.216861i
$195$	−7.96655	−	14.1854i	−0.570496	−	1.01584i
$196$	5.08454	−	4.26644i	0.363182	−	0.304746i
$197$	0.714097	+	0.191342i	0.0508773	+	0.0136325i	0.284168	−	0.958775i	$-0.408283\pi$
$197$	0.714097	+	0.191342i	0.0508773	+	0.0136325i	−0.233291	+	0.972407i	$0.574949\pi$
$198$	0.968561	+	0.323971i	0.0688327	+	0.0230236i
$199$	4.29717	−	0.757707i	0.304618	−	0.0537124i	−0.0192497	−	0.999815i	$-0.506128\pi$
$199$	4.29717	−	0.757707i	0.304618	−	0.0537124i	0.323868	+	0.946102i	$0.395017\pi$
$200$	−4.77816	+	1.47283i	−0.337867	+	0.104145i
$201$	−7.65863	−	0.233618i	−0.540198	−	0.0164781i
$202$	3.28343	−	12.2539i	0.231022	−	0.862184i
$203$	−12.3665	−	1.08193i	−0.867959	−	0.0759365i
$204$	7.24949	+	6.46978i	0.507566	+	0.452975i
$205$	−5.21984	−	4.21703i	−0.364569	−	0.294530i
$206$	−3.61630	+	4.30974i	−0.251960	+	0.300274i
$207$	27.0454	−	0.710853i	1.87979	−	0.0494077i
$208$	−2.97037	+	2.97037i	−0.205958	+	0.205958i
$209$	0.135669	−	1.47771i	0.00938445	−	0.102215i
$210$	−8.34232	+	11.6175i	−0.575675	+	0.801685i
$211$	−4.95569	+	28.1051i	−0.341164	+	1.93483i	0.0136742	+	0.999907i	$0.495647\pi$
$211$	−4.95569	+	28.1051i	−0.341164	+	1.93483i	−0.354838	+	0.934928i	$0.615464\pi$
$212$	7.10085	−	0.621243i	0.487688	−	0.0426672i
$213$	7.01072	−	9.38945i	0.480367	−	0.643354i
$214$	0.328197	+	0.901714i	0.0224351	+	0.0616399i
$215$	−14.0257	−	6.22537i	−0.956545	−	0.424567i
$216$	4.71853	−	2.17611i	0.321055	−	0.148066i
$217$	−17.4523	+	4.67633i	−1.18474	+	0.317450i
$218$	−3.05415	+	4.36177i	−0.206853	+	0.295417i
$219$	−2.92787	−	3.71362i	−0.197847	−	0.250943i
$220$	−0.500076	−	0.573940i	−0.0337151	−	0.0386950i
$221$	20.4085	−	11.7829i	1.37283	−	0.792601i
$222$	−2.77918	+	1.19419i	−0.186527	+	0.0801490i
$223$	3.51767	−	7.54367i	0.235561	−	0.505161i	−0.752620	−	0.658455i	$-0.771210\pi$
$223$	3.51767	−	7.54367i	0.235561	−	0.505161i	0.988181	+	0.153294i	$0.0489880\pi$
$224$	3.47018	+	1.26304i	0.231861	+	0.0843905i
$225$	5.46410	−	13.9694i	0.364273	−	0.931292i
$226$	−0.0824210	+	0.467433i	−0.00548256	+	0.0310932i
$227$	−1.13786	+	1.13786i	−0.0755226	+	0.0755226i	−0.743859	−	0.668337i	$-0.767007\pi$
$227$	−1.13786	+	1.13786i	−0.0755226	+	0.0755226i	0.668337	+	0.743859i	$0.267007\pi$
$228$	−4.64888	−	5.94877i	−0.307880	−	0.393967i
$229$			11.2058i			0.740502i	0.928932	+	0.370251i	$0.120728\pi$
$229$			11.2058i			0.740502i	−0.928932	+	0.370251i	$0.879272\pi$
$230$	−17.6483	−	9.75614i	−1.16369	−	0.643301i
$231$	−2.13191	−	0.443329i	−0.140269	−	0.0291689i
$232$	−1.42064	−	3.04658i	−0.0932699	−	0.200018i
$233$	3.07094	+	1.43200i	0.201184	+	0.0938136i	0.520599	−	0.853801i	$-0.325709\pi$
$233$	3.07094	+	1.43200i	0.201184	+	0.0938136i	−0.319415	+	0.947615i	$0.603486\pi$
$234$	−1.42783	−	12.5211i	−0.0933404	−	0.818527i
$235$	11.4990	−	17.0902i	0.750112	−	1.11484i
$236$	−4.97846	−	2.87432i	−0.324070	−	0.187102i
$237$	−29.0437	−	3.43612i	−1.88659	−	0.223200i
$238$	−16.9702	−	11.8826i	−1.10001	−	0.770237i
$239$	8.25386	−	14.2961i	0.533898	−	0.924739i	−0.465318	−	0.885144i	$-0.654060\pi$
$239$	8.25386	−	14.2961i	0.533898	−	0.924739i	0.999216	−	0.0395948i	$-0.0126067\pi$
$240$	−3.85396	−	0.383415i	−0.248772	−	0.0247493i
$241$	11.4025	−	9.56782i	0.734498	−	0.616317i	−0.196856	−	0.980433i	$-0.563073\pi$
$241$	11.4025	−	9.56782i	0.734498	−	0.616317i	0.931354	+	0.364115i	$0.118629\pi$
$242$	−4.59982	+	9.86435i	−0.295688	+	0.634104i
$243$	−3.70146	+	15.1426i	−0.237449	+	0.971400i
$244$	1.92699	−	2.29650i	0.123363	−	0.147018i
$245$	7.18048	−	12.9891i	0.458744	−	0.829842i
$246$	−2.46049	−	4.57865i	−0.156875	−	0.291924i
$247$	−17.2330	+	6.18876i	−1.09651	+	0.393781i
$248$	−3.45962	−	3.45962i	−0.219686	−	0.219686i
$249$	−1.64158	+	0.541400i	−0.104031	+	0.0343099i
$250$	−8.78647	+	6.91360i	−0.555705	+	0.437255i
$251$	9.97043	−	27.3935i	0.629328	−	1.72906i	−0.0535845	−	0.998563i	$-0.517065\pi$
$251$	9.97043	−	27.3935i	0.629328	−	1.72906i	0.682912	−	0.730500i	$-0.260713\pi$
$252$	−9.44554	+	5.78950i	−0.595013	+	0.364704i
$253$	0.267580	−	3.05845i	0.0168226	−	0.192283i
$254$	−8.94404	−	15.4915i	−0.561199	−	0.972025i
$255$	20.3270	+	7.67339i	1.27292	+	0.480526i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	−11.1911	−	7.83612i	−0.698084	−	0.488804i	0.169858	−	0.985468i	$-0.445669\pi$
$257$	−11.1911	−	7.83612i	−0.698084	−	0.488804i	−0.867943	+	0.496665i	$0.834558\pi$
$258$	−8.14475	−	8.65728i	−0.507070	−	0.538979i
$259$	5.58529	−	3.22467i	0.347053	−	0.200371i
$260$	−3.81068	+	8.58543i	−0.236328	+	0.532446i
$261$	9.80618	+	2.35324i	0.606987	+	0.145662i
$262$	6.73645	+	14.4464i	0.416179	+	0.892499i
$263$	2.03119	+	23.2166i	0.125249	+	1.43160i	0.755470	+	0.655183i	$0.227408\pi$
$263$	2.03119	+	23.2166i	0.125249	+	1.43160i	−0.630222	+	0.776415i	$0.717036\pi$
$264$	−0.184685	−	0.559983i	−0.0113666	−	0.0344646i
$265$	14.3175	−	7.00347i	0.879518	−	0.430220i
$266$	11.3333	+	11.4309i	0.694891	+	0.700875i
$267$	−17.1179	−	5.15100i	−1.04760	−	0.315236i
$268$	2.53737	+	3.62374i	0.154994	+	0.221355i
$269$	7.98246	+	6.69808i	0.486699	+	0.408389i	0.852842	−	0.522170i	$-0.174877\pi$
$269$	7.98246	+	6.69808i	0.486699	+	0.408389i	−0.366142	+	0.930559i	$0.619322\pi$
$270$	8.09681	−	8.33316i	0.492756	−	0.507140i
$271$	−9.06553	+	3.29958i	−0.550692	+	0.200435i	−0.602354	−	0.798229i	$-0.705770\pi$
$271$	−9.06553	+	3.29958i	−0.550692	+	0.200435i	0.0516621	+	0.998665i	$0.483548\pi$
$272$	0.488936	−	5.58856i	0.0296461	−	0.338856i
$273$	6.15967	+	26.1534i	0.372800	+	1.58288i
$274$	−11.7195	−	6.76627i	−0.708002	−	0.408765i
$275$	−1.50477	−	0.795672i	−0.0907408	−	0.0479808i
$276$	−9.67089	−	12.2662i	−0.582119	−	0.738340i
$277$	9.16004	−	2.45442i	0.550373	−	0.147472i	0.0270933	−	0.999633i	$-0.491375\pi$
$277$	9.16004	−	2.45442i	0.550373	−	0.147472i	0.523280	+	0.852161i	$0.324708\pi$
$278$	3.83992	−	14.3308i	0.230303	−	0.859503i
$279$	14.5834	−	1.66301i	0.873085	−	0.0995619i
$280$	8.25611	−	0.153591i	0.493397	−	0.00917882i
$281$	−8.43656	+	23.1793i	−0.503283	+	1.38276i	0.384768	+	0.923014i	$0.374282\pi$
$281$	−8.43656	+	23.1793i	−0.503283	+	1.38276i	−0.888051	+	0.459746i	$0.847941\pi$
$282$	13.3430	−	8.74901i	0.794567	−	0.520996i
$283$	−16.1261	−	23.0305i	−0.958599	−	1.36902i	−0.929250	−	0.369452i	$-0.879545\pi$
$283$	−16.1261	−	23.0305i	−0.958599	−	1.36902i	−0.0293494	−	0.999569i	$-0.509344\pi$
$284$	−6.76540			−0.401453
$285$	−14.4817	−	8.67642i	−0.857822	−	0.513947i
$286$	−1.43008			−0.0845624
$287$	6.35658	+	9.07813i	0.375217	+	0.535865i
$288$	−2.63659	−	1.43122i	−0.155363	−	0.0843354i
$289$	−4.94939	+	13.5983i	−0.291141	+	0.799903i
$290$	−5.41299	−	5.21527i	−0.317862	−	0.306251i
$291$	−14.2078	−	5.66752i	−0.832874	−	0.332236i
$292$	−0.706650	+	2.63726i	−0.0413536	+	0.154334i
$293$	−13.4410	+	3.60152i	−0.785234	+	0.210403i	−0.629091	−	0.777332i	$-0.716573\pi$
$293$	−13.4410	+	3.60152i	−0.785234	+	0.210403i	−0.156143	+	0.987734i	$0.549906\pi$
$294$	9.02790	−	7.11774i	0.526518	−	0.415115i
$295$	−12.6984	−	1.99629i	−0.739328	−	0.116228i
$296$	1.51245	+	0.873211i	0.0879091	+	0.0507543i
$297$	1.65971	+	0.612023i	0.0963061	+	0.0355132i
$298$	−0.404743	+	4.62624i	−0.0234461	+	0.267991i
$299$	−35.5986	+	12.9568i	−2.05872	+	0.749314i
$300$	−8.34994	+	2.29750i	−0.482084	+	0.132646i
$301$	19.4137	+	16.2900i	1.11899	+	0.938941i
$302$	1.69326	+	2.41823i	0.0974363	+	0.139153i
$303$	6.33156	−	21.0412i	0.363738	−	1.20878i
$304$	−1.14621	+	4.20550i	−0.0657395	+	0.241202i
$305$	2.17515	−	6.34073i	0.124549	−	0.363069i
$306$	12.2090	+	11.5836i	0.697941	+	0.662192i
$307$	0.625135	+	7.14532i	0.0356783	+	0.407805i	0.992943	+	0.118592i	$0.0378380\pi$
$307$	0.625135	+	7.14532i	0.0356783	+	0.407805i	−0.957265	+	0.289213i	$0.906606\pi$
$308$	0.531311	+	1.13940i	0.0302743	+	0.0649234i
$309$	−6.48830	+	7.27024i	−0.369106	+	0.413589i
$310$	−9.99953	−	4.43833i	−0.567935	−	0.252080i
$311$	12.7345	−	7.35228i	0.722108	−	0.416910i	−0.0934198	−	0.995627i	$-0.529780\pi$
$311$	12.7345	−	7.35228i	0.722108	−	0.416910i	0.815528	+	0.578717i	$0.196447\pi$
$312$	−5.29930	+	4.98557i	−0.300014	+	0.282252i
$313$	−10.2993	−	7.21166i	−0.582152	−	0.407627i	0.245068	−	0.969506i	$-0.421190\pi$
$313$	−10.2993	−	7.21166i	−0.582152	−	0.407627i	−0.827220	+	0.561879i	$0.810079\pi$
$314$	0.416511	+	2.36215i	0.0235051	+	0.133304i
$315$	−15.0561	+	19.6722i	−0.848317	+	1.10840i
$316$	8.44268	+	14.6231i	0.474938	+	0.822616i
$317$	1.43849	−	16.4420i	0.0807934	−	0.923473i	−0.842328	−	0.538965i	$-0.818816\pi$
$317$	1.43849	−	16.4420i	0.0807934	−	0.923473i	0.923122	−	0.384508i	$-0.125629\pi$
$318$	12.3261	−	0.700532i	0.691214	−	0.0392839i
$319$	0.391403	−	1.07537i	0.0219143	−	0.0602092i
$320$	1.15386	+	1.91536i	0.0645027	+	0.107072i
$321$	0.520571	+	1.57842i	0.0290554	+	0.0880988i
$322$	23.5490	+	23.5490i	1.31234	+	1.31234i
$323$	12.3172	−	21.1243i	0.685347	−	1.17539i
$324$	8.28386	−	3.51820i	0.460214	−	0.195455i
$325$	−1.05109	+	20.9774i	−0.0583041	+	1.16361i
$326$	15.7926	−	18.8209i	0.874673	−	1.04239i
$327$	−5.51782	+	7.39001i	−0.305136	+	0.408669i
$328$	−1.26828	+	2.71983i	−0.0700289	+	0.150178i
$329$	−26.0599	+	21.8669i	−1.43673	+	1.20556i
$330$	−0.835445	−	1.02004i	−0.0459897	−	0.0561513i
$331$	13.3897	−	23.1917i	0.735966	−	1.27473i	−0.218333	−	0.975874i	$-0.570062\pi$
$331$	13.3897	−	23.1917i	0.735966	−	1.27473i	0.954298	−	0.298856i	$-0.0966049\pi$
$332$	0.817498	+	0.572418i	0.0448660	+	0.0314155i
$333$	−4.87452	+	1.92067i	−0.267122	+	0.105252i
$334$	7.52703	+	4.34573i	0.411861	+	0.237788i
$335$	8.20706	+	5.52203i	0.448399	+	0.301701i
$336$	5.94103	+	2.36989i	0.324110	+	0.129288i
$337$	−4.38378	−	2.04419i	−0.238800	−	0.111354i	0.299535	−	0.954085i	$-0.403169\pi$
$337$	−4.38378	−	2.04419i	−0.238800	−	0.111354i	−0.538335	+	0.842731i	$0.680946\pi$
$338$	1.96356	+	4.21087i	0.106804	+	0.229041i
$339$	−0.167376	+	0.804888i	−0.00909062	+	0.0437155i
$340$	−3.47147	−	12.0542i	−0.188267	−	0.653732i
$341$		−	1.66563i		−	0.0901988i
$342$	−7.73421	−	10.5443i	−0.418218	−	0.570170i
$343$	0.946843	−	0.946843i	0.0511247	−	0.0511247i
$344$	−1.19168	+	6.75833i	−0.0642509	+	0.364385i
$345$	−30.0383	−	17.8223i	−1.61721	−	0.959519i
$346$	−11.7686	−	4.28341i	−0.632682	−	0.230277i
$347$	−3.56109	+	7.63678i	−0.191169	+	0.409964i	−0.978408	−	0.206685i	$-0.933732\pi$
$347$	−3.56109	+	7.63678i	−0.191169	+	0.409964i	0.787238	+	0.616649i	$0.211510\pi$
$348$	−2.29859	−	5.34940i	−0.123218	−	0.286758i
$349$	−24.5339	+	14.1646i	−1.31327	+	0.758215i	−0.982636	−	0.185545i	$-0.940595\pi$
$349$	−24.5339	+	14.1646i	−1.31327	+	0.758215i	−0.330631	+	0.943760i	$0.607262\pi$
$350$	17.1040	−	6.95618i	0.914247	−	0.371823i
$351$	−1.81070	−	21.7524i	−0.0966479	−	1.16106i
$352$	−0.195266	+	0.278869i	−0.0104077	+	0.0148637i
$353$	−9.01657	+	2.41598i	−0.479903	+	0.128590i	−0.490658	−	0.871352i	$-0.663243\pi$
$353$	−9.01657	+	2.41598i	−0.479903	+	0.128590i	0.0107543	+	0.999942i	$0.496577\pi$
$354$	−8.46715	−	5.23906i	−0.450024	−	0.278453i
$355$	−14.1169	+	5.43756i	−0.749246	+	0.288596i
$356$	3.52992	+	9.69837i	0.187085	+	0.514012i
$357$	−28.7520	−	21.4679i	−1.52172	−	1.13620i
$358$	19.9198	−	1.74276i	1.05279	−	0.0921075i
$359$	0.317352	−	1.79979i	0.0167492	−	0.0949894i	−0.975287	−	0.220941i	$-0.929087\pi$
$359$	0.317352	−	1.79979i	0.0167492	−	0.0949894i	0.992036	+	0.125951i	$0.0401983\pi$
$360$	−6.65190	−	0.867312i	−0.350586	−	0.0457113i
$361$	−12.3373	+	14.4496i	−0.649333	+	0.760505i
$362$	14.0201	−	14.0201i	0.736878	−	0.736878i
$363$	−8.48435	+	16.8347i	−0.445313	+	0.883592i
$364$	9.97146	−	11.8835i	0.522646	−	0.622866i
$365$	0.645127	+	6.07093i	0.0337675	+	0.317767i
$366$	3.45738	−	3.87404i	0.180720	−	0.202499i
$367$	12.2213	+	1.06923i	0.637948	+	0.0558132i	0.401541	−	0.915841i	$-0.368475\pi$
$367$	12.2213	+	1.06923i	0.637948	+	0.0558132i	0.236407	+	0.971654i	$0.424030\pi$
$368$	−2.33410	+	8.71096i	−0.121673	+	0.454090i
$369$	−4.01791	−	8.05670i	−0.209164	−	0.419415i
$370$	3.85774	+	0.606467i	0.200554	+	0.0315287i
$371$	−25.9229	+	4.57090i	−1.34585	+	0.237309i
$372$	−5.80674	−	6.17215i	−0.301066	−	0.320011i
$373$	25.5374	+	6.84273i	1.32228	+	0.354303i	0.849830	−	0.527056i	$-0.176704\pi$
$373$	25.5374	+	6.84273i	1.32228	+	0.354303i	0.472447	+	0.881359i	$0.343371\pi$
$374$	1.46300	−	1.22760i	0.0756500	−	0.0634779i
$375$	−15.5766	+	11.5051i	−0.804375	+	0.594123i
$376$	−8.65644	−	3.15068i	−0.446422	−	0.162484i
$377$	−14.0672	+	1.23072i	−0.724496	+	0.0633852i
$378$	−16.6583	+	9.52424i	−0.856810	+	0.489874i
$379$			3.38122i			0.173682i	0.996222	+	0.0868408i	$0.0276772\pi$
$379$			3.38122i			0.173682i	−0.996222	+	0.0868408i	$0.972323\pi$
$380$	0.988380	+	9.69655i	0.0507028	+	0.497423i
$381$	−14.6662	−	27.2920i	−0.751373	−	1.39821i
$382$	17.8962	−	12.5311i	0.915649	−	0.641144i
$383$	−2.70817	−	30.9545i	−0.138381	−	1.58170i	−0.674963	−	0.737852i	$-0.735840\pi$
$383$	−2.70817	−	30.9545i	−0.138381	−	1.58170i	0.536582	−	0.843848i	$-0.319715\pi$
$384$	0.248620	+	1.71411i	0.0126873	+	0.0874730i
$385$	2.02442	+	1.95048i	0.103174	+	0.0994054i
$386$	−7.93404	−	9.45542i	−0.403832	−	0.481268i
$387$	−13.6434	−	15.4180i	−0.693532	−	0.783741i
$388$	2.28574	+	8.53049i	0.116041	+	0.433070i
$389$	4.26737	+	24.2014i	0.216364	+	1.22706i	0.878524	+	0.477699i	$0.158529\pi$
$389$	4.26737	+	24.2014i	0.216364	+	1.22706i	−0.662159	+	0.749363i	$0.730360\pi$
$390$	−7.05061	+	14.6622i	−0.357022	+	0.742452i
$391$	25.2958	−	43.8136i	1.27926	−	2.21575i
$392$	−6.41124	−	1.71789i	−0.323816	−	0.0867663i
$393$	10.8995	+	25.3659i	0.549809	+	1.27954i
$394$	−0.252851	−	0.694703i	−0.0127385	−	0.0349986i
$395$	29.3698	+	23.7274i	1.47776	+	1.19386i
$396$	−0.290163	−	0.979221i	−0.0145812	−	0.0492077i
$397$	9.26321	−	6.48617i	0.464907	−	0.325532i	−0.317544	−	0.948244i	$-0.602858\pi$
$397$	9.26321	−	6.48617i	0.464907	−	0.325532i	0.782451	+	0.622712i	$0.213969\pi$
$398$	−3.08543	−	3.08543i	−0.154659	−	0.154659i
$399$	19.0171	+	20.3883i	0.952047	+	1.02069i
$400$	3.94711	+	3.06925i	0.197356	+	0.153463i
$401$	22.8263	+	4.02490i	1.13989	+	0.200994i	0.711559	−	0.702627i	$-0.247990\pi$
$401$	22.8263	+	4.02490i	1.13989	+	0.200994i	0.428334	+	0.903621i	$0.359101\pi$
$402$	4.20144	+	6.40758i	0.209549	+	0.319581i
$403$	−18.6270	+	8.68593i	−0.927879	+	0.432677i
$404$	−11.9211	+	4.33894i	−0.593099	+	0.215870i
$405$	14.4576	−	13.9992i	0.718406	−	0.695624i
$406$	6.20687	+	10.7506i	0.308042	+	0.533544i
$407$	0.153879	+	0.574286i	0.00762752	+	0.0284663i
$408$	1.14160	−	9.64935i	0.0565175	−	0.477714i
$409$	35.2653	−	6.21823i	1.74376	−	0.307471i	0.791138	−	0.611637i	$-0.209489\pi$
$409$	35.2653	−	6.21823i	1.74376	−	0.307471i	0.952619	+	0.304166i	$0.0983778\pi$
$410$	−0.460413	+	6.69463i	−0.0227382	+	0.330624i
$411$	−19.9320	−	12.3330i	−0.983175	−	0.608341i
$412$	5.60455	+	0.490335i	0.276117	+	0.0241571i
$413$	19.2401	+	8.97178i	0.946741	+	0.441473i
$414$	−16.0949	−	21.7466i	−0.791022	−	1.06879i
$415$	2.16588	+	0.537376i	0.106319	+	0.0263787i
$416$	4.13692	+	0.729450i	0.202829	+	0.0357642i
$417$	7.40465	−	24.6073i	0.362607	−	1.20503i
$418$	−1.28829	+	0.736446i	−0.0630121	+	0.0360207i
$419$	22.3532			1.09203			0.546014	−	0.837776i	$-0.316145\pi$
$419$	22.3532			1.09203			0.546014	+	0.837776i	$0.316145\pi$
$420$	14.3015	+	0.170099i	0.697840	+	0.00829998i
$421$	2.14614	+	1.80083i	0.104597	+	0.0877669i	0.693586	−	0.720374i	$-0.256030\pi$
$421$	2.14614	+	1.80083i	0.104597	+	0.0877669i	−0.588990	+	0.808141i	$0.700474\pi$
$422$	25.8648	−	12.0610i	1.25908	−	0.587118i
$423$	23.5621	−	14.4421i	1.14563	−	0.702197i
$424$	−4.58177	−	5.46034i	−0.222510	−	0.265178i
$425$	−16.9320	−	22.3625i	−0.821323	−	1.08474i
$426$	−11.7126	−	0.357279i	−0.567476	−	0.0173102i
$427$	−6.34994	+	9.06866i	−0.307295	+	0.438863i
$428$	0.550395	−	0.786045i	0.0266043	−	0.0379949i
$429$	−2.47582	−	0.0755221i	−0.119534	−	0.00364624i
$430$	2.94529	+	15.0599i	0.142035	+	0.726253i
$431$	−11.0126	−	13.1243i	−0.530457	−	0.632174i	0.432563	−	0.901604i	$-0.357609\pi$
$431$	−11.0126	−	13.1243i	−0.530457	−	0.632174i	−0.963020	+	0.269430i	$0.913165\pi$
$432$	−4.48900	−	2.61703i	−0.215977	−	0.125912i
$433$	1.76231	−	0.821778i	0.0846911	−	0.0394921i	−0.379811	−	0.925064i	$-0.624011\pi$
$433$	1.76231	−	0.821778i	0.0846911	−	0.0394921i	0.464502	+	0.885572i	$0.346233\pi$
$434$	13.8408	+	11.6138i	0.664382	+	0.557483i
$435$	−9.09579	−	9.31476i	−0.436110	−	0.446609i
$436$	5.32474			0.255009
$437$	−25.3966	+	30.0043i	−1.21489	+	1.43530i
$438$	−1.36266	+	4.52842i	−0.0651103	+	0.216376i
$439$	−6.70671	−	1.18257i	−0.320094	−	0.0564411i	0.0112929	−	0.999936i	$-0.496405\pi$
$439$	−6.70671	−	1.18257i	−0.320094	−	0.0564411i	−0.331386	+	0.943495i	$0.607516\pi$
$440$	−0.183312	+	0.738836i	−0.00873906	+	0.0352226i
$441$	16.0054	−	11.8458i	0.762162	−	0.564085i
$442$	−21.3578	−	9.95931i	−1.01589	−	0.473716i
$443$	1.03211	+	0.0902980i	0.0490370	+	0.00429019i	0.111648	−	0.993748i	$-0.464387\pi$
$443$	1.03211	+	0.0902980i	0.0490370	+	0.00429019i	−0.0626108	+	0.998038i	$0.519943\pi$
$444$	2.57230	+	1.59161i	0.122076	+	0.0755346i
$445$	15.1605	+	17.3998i	0.718677	+	0.824829i
$446$	−8.19706	+	1.44536i	−0.388142	+	0.0684399i
$447$	−0.945020	+	7.98778i	−0.0446979	+	0.377809i
$448$	−0.955789	−	3.56705i	−0.0451568	−	0.168527i
$449$	−8.18537	−	14.1775i	−0.386292	−	0.669077i	0.605656	−	0.795727i	$-0.292911\pi$
$449$	−8.18537	−	14.1775i	−0.386292	−	0.669077i	−0.991947	+	0.126650i	$0.959577\pi$
$450$	−14.5771	+	3.53658i	−0.687172	+	0.166716i
$451$	−0.960035	+	0.349424i	−0.0452063	+	0.0164537i
$452$	0.430173	−	0.200593i	0.0202336	−	0.00943510i
$453$	2.80375	+	4.27597i	0.131732	+	0.200903i
$454$	1.58473	+	0.279431i	0.0743752	+	0.0131144i
$455$	11.2556	−	32.8109i	0.527669	−	1.53820i
$456$	−2.20646	+	7.22022i	−0.103327	+	0.338118i
$457$	−19.5562	−	19.5562i	−0.914801	−	0.914801i	0.0818443	−	0.996645i	$-0.473919\pi$
$457$	−19.5562	−	19.5562i	−0.914801	−	0.914801i	−0.996645	+	0.0818443i	$0.973919\pi$
$458$	9.17927	−	6.42740i	0.428919	−	0.300332i
$459$	20.5250	+	20.6988i	0.958026	+	0.966140i
$460$	2.13088	+	20.0525i	0.0993528	+	0.934954i
$461$	9.63162	+	26.4626i	0.448589	+	1.23249i	0.933707	+	0.358039i	$0.116555\pi$
$461$	9.63162	+	26.4626i	0.448589	+	1.23249i	−0.485117	+	0.874449i	$0.661223\pi$
$462$	0.859659	+	2.00064i	0.0399950	+	0.0930783i
$463$	−2.19920	−	0.589273i	−0.102205	−	0.0273859i	0.207354	−	0.978266i	$-0.433515\pi$
$463$	−2.19920	−	0.589273i	−0.102205	−	0.0273859i	−0.309559	+	0.950880i	$0.600182\pi$
$464$	−1.68077	+	2.91117i	−0.0780276	+	0.135148i
$465$	−17.0773	−	8.21191i	−0.791939	−	0.380818i
$466$	−0.588391	−	3.33693i	−0.0272567	−	0.154580i
$467$	−1.33702	−	4.98982i	−0.0618698	−	0.230901i	0.928067	−	0.372414i	$-0.121470\pi$
$467$	−1.33702	−	4.98982i	−0.0618698	−	0.230901i	−0.989936	+	0.141513i	$0.954803\pi$
$468$	−9.43768	+	8.35140i	−0.436257	+	0.386043i
$469$	−10.5009	−	12.5145i	−0.484885	−	0.577864i
$470$	−20.5951	+	0.383136i	−0.949979	+	0.0176728i
$471$	0.596339	+	4.11146i	0.0274778	+	0.189446i
$472$	0.501027	+	5.72676i	0.0230616	+	0.263595i
$473$	−1.91376	+	1.34003i	−0.0879948	+	0.0616146i
$474$	13.8441	+	25.7621i	0.635881	+	1.18329i
$475$	9.85580	+	19.4387i	0.452215	+	0.891909i
$476$			20.7167i			0.949550i
$477$	21.3765	−	0.561854i	0.978764	−	0.0257255i
$478$	−16.4449	+	1.43874i	−0.752173	+	0.0658066i
$479$	4.80640	+	1.74939i	0.219610	+	0.0799315i	0.449482	−	0.893289i	$-0.351609\pi$
$479$	4.80640	+	1.74939i	0.219610	+	0.0799315i	−0.229872	+	0.973221i	$0.573831\pi$
$480$	1.89646	+	3.37690i	0.0865614	+	0.154133i
$481$	5.61990	−	4.71565i	0.256245	−	0.215015i
$482$	−14.3777	−	3.85249i	−0.654886	−	0.175476i
$483$	39.5255	+	42.0128i	1.79847	+	1.91165i
$484$	10.7187	−	1.89000i	0.487216	−	0.0859093i
$485$	11.6257	+	15.9628i	0.527896	+	0.724835i
$486$	14.5272	−	5.65340i	0.658966	−	0.256443i
$487$	−9.38264	+	35.0165i	−0.425168	+	1.58675i	0.338387	+	0.941007i	$0.390119\pi$
$487$	−9.38264	+	35.0165i	−0.425168	+	1.58675i	−0.763555	+	0.645742i	$0.776548\pi$
$488$	−2.98646	−	0.261281i	−0.135191	−	0.0118277i
$489$	28.3349	−	31.7496i	1.28135	−	1.43577i
$490$	−14.7586	+	1.56832i	−0.666725	+	0.0708495i
$491$	−0.209252	+	0.249377i	−0.00944342	+	0.0112542i	−0.770745	−	0.637143i	$-0.780116\pi$
$491$	−0.209252	+	0.249377i	−0.00944342	+	0.0112542i	0.761302	+	0.648397i	$0.224560\pi$
$492$	−2.33933	+	4.64172i	−0.105465	+	0.209265i
$493$	13.3345	−	13.3345i	0.600557	−	0.600557i
$494$	14.9540	+	10.5667i	0.672812	+	0.475420i
$495$	−1.39249	−	1.81006i	−0.0625878	−	0.0813561i
$496$	−0.849597	+	4.81831i	−0.0381480	+	0.216348i
$497$	24.8888	−	2.17749i	1.11641	−	0.0976736i
$498$	1.38506	+	1.03417i	0.0620660	+	0.0463422i
$499$	6.84179	+	18.7977i	0.306281	+	0.841499i	0.993374	+	0.114929i	$0.0366642\pi$
$499$	6.84179	+	18.7977i	0.306281	+	0.841499i	−0.687093	+	0.726569i	$0.741114\pi$
$500$	10.7030	+	3.23198i	0.478653	+	0.144538i
$501$	12.8016	+	7.92103i	0.571935	+	0.353886i
$502$	−28.1583	+	7.54498i	−1.25676	+	0.336749i
$503$	0.251453	−	0.359113i	0.0112118	−	0.0160120i	−0.813507	−	0.581555i	$-0.802444\pi$
$503$	0.251453	−	0.359113i	0.0112118	−	0.0160120i	0.824719	+	0.565543i	$0.191333\pi$
$504$	10.1602	+	4.41661i	0.452572	+	0.196731i
$505$	−21.3876	+	18.6351i	−0.951738	+	0.829253i
$506$	−2.65882	+	1.53507i	−0.118199	+	0.0682421i
$507$	3.17703	+	7.39374i	0.141097	+	0.328367i
$508$	−7.55983	+	16.2121i	−0.335413	+	0.719296i
$509$	0.353795	+	0.128771i	0.0156817	+	0.00570767i	0.349849	−	0.936806i	$-0.386233\pi$
$509$	0.353795	+	0.128771i	0.0156817	+	0.00570767i	−0.334167	+	0.942514i	$0.608455\pi$
$510$	−5.37339	−	21.0521i	−0.237938	−	0.932204i
$511$	1.75083	−	9.92946i	0.0774522	−	0.439253i
$512$	0.707107	−	0.707107i	0.0312500	−	0.0312500i
$513$	−12.8330	−	18.6632i	−0.566590	−	0.824000i
$514$			13.6619i			0.602599i
$515$	12.0887	−	3.48141i	0.532693	−	0.153409i
$516$	−2.41999	+	11.6374i	−0.106534	+	0.512308i
$517$	−1.32537	−	2.84226i	−0.0582896	−	0.125003i
$518$	−5.84508	−	2.72561i	−0.256818	−	0.119756i
$519$	−20.1481	−	8.03713i	−0.884402	−	0.352791i
$520$	9.21849	−	1.80288i	0.404257	−	0.0790614i
$521$	25.6690	+	14.8200i	1.12458	+	0.649277i	0.942567	−	0.334018i	$-0.108405\pi$
$521$	25.6690	+	14.8200i	1.12458	+	0.649277i	0.182015	+	0.983296i	$0.441738\pi$
$522$	−3.69693	−	9.38252i	−0.161810	−	0.410662i
$523$	−9.80226	−	6.86361i	−0.428623	−	0.300125i	0.339287	−	0.940683i	$-0.389814\pi$
$523$	−9.80226	−	6.86361i	−0.428623	−	0.300125i	−0.767910	+	0.640558i	$0.778703\pi$
$524$	7.96990	−	13.8043i	0.348167	−	0.603042i
$525$	29.9786	−	11.1396i	1.30837	−	0.486172i
$526$	17.8529	−	14.9804i	0.778423	−	0.653175i
$527$	11.5997	−	24.8756i	0.505291	−	1.08360i
$528$	−0.352780	+	0.472478i	−0.0153528	+	0.0205620i
$529$	−37.4931	+	44.6825i	−1.63013	+	1.94272i
$530$	−13.9491	−	7.71119i	−0.605910	−	0.334953i
$531$	−14.3820	−	9.51725i	−0.624128	−	0.413013i
$532$	2.86314	−	15.8402i	0.124133	−	0.686761i
$533$	8.91408	+	8.91408i	0.386112	+	0.386112i
$534$	5.59899	+	16.9767i	0.242292	+	0.734652i
$535$	0.516701	−	2.08255i	0.0223389	−	0.0900366i
$536$	1.51302	−	4.15698i	0.0653524	−	0.179554i
$537$	34.5781	−	1.96518i	1.49215	−	0.0848038i
$538$	0.908194	−	10.3807i	0.0391550	−	0.447544i
$539$	−1.12980	−	1.95688i	−0.0486641	−	0.0842887i
$540$	−11.4703	−	1.85281i	−0.493602	−	0.0797324i
$541$	−2.45885	−	13.9448i	−0.105714	−	0.599535i	−0.990933	−	0.134359i	$-0.957102\pi$
$541$	−2.45885	−	13.9448i	−0.105714	−	0.599535i	0.885219	−	0.465175i	$-0.154009\pi$
$542$	7.90263	+	5.53348i	0.339447	+	0.237683i
$543$	25.0126	−	23.5318i	1.07339	−	1.00985i
$544$	−4.85832	+	2.80495i	−0.208299	+	0.120261i
$545$	11.1108	−	4.27966i	0.475932	−	0.183320i
$546$	17.8906	−	20.0467i	0.765647	−	0.857920i
$547$	7.68543	+	16.4815i	0.328605	+	0.704696i	0.999314	−	0.0370243i	$-0.0117879\pi$
$547$	7.68543	+	16.4815i	0.328605	+	0.704696i	−0.670709	+	0.741720i	$0.734010\pi$
$548$	1.17944	+	13.4810i	0.0503831	+	0.575881i
$549$	6.19015	−	6.52434i	0.264189	−	0.278452i
$550$	0.211321	+	1.68901i	0.00901078	+	0.0720196i
$551$	−12.0386	+	8.35283i	−0.512862	+	0.355843i
$552$	−4.50092	+	14.9576i	−0.191572	+	0.636636i
$553$	−35.7658	−	51.0788i	−1.52091	−	2.17209i
$554$	−7.26453	−	6.09566i	−0.308640	−	0.258980i
$555$	6.64666	+	1.25367i	0.282135	+	0.0532153i
$556$	−13.9416	+	5.07432i	−0.591255	+	0.215199i
$557$	2.77847	−	31.7581i	0.117728	−	1.34563i	−0.675793	−	0.737091i	$-0.736199\pi$
$557$	2.77847	−	31.7581i	0.117728	−	1.34563i	0.793521	−	0.608543i	$-0.208246\pi$
$558$	−9.72695	−	10.9922i	−0.411775	−	0.465335i
$559$	24.9657	+	14.4140i	1.05594	+	0.609646i
$560$	−4.86133	−	6.67492i	−0.205429	−	0.282067i
$561$	2.59764	−	2.04802i	0.109673	−	0.0864676i
$562$	23.8264	−	6.38425i	1.00505	−	0.269303i
$563$	3.62381	−	13.5243i	0.152725	−	0.569979i	−0.846564	−	0.532287i	$-0.821333\pi$
$563$	3.62381	−	13.5243i	0.152725	−	0.569979i	0.999289	−	0.0376922i	$-0.0120006\pi$
$564$	−14.8200	−	5.91175i	−0.624036	−	0.248930i
$565$	0.736389	−	0.764307i	0.0309801	−	0.0321546i
$566$	−9.61592	+	26.4195i	−0.404187	+	1.11049i
$567$	−29.3426	+	15.6091i	−1.23227	+	0.655520i
$568$	3.88047	+	5.54189i	0.162821	+	0.232533i
$569$	−26.5717			−1.11394			−0.556972	−	0.830531i	$-0.688037\pi$
$569$	−26.5717			−1.11394			−0.556972	+	0.830531i	$0.688037\pi$
$570$	1.19906	+	16.8393i	0.0502229	+	0.705321i
$571$	6.05017			0.253192			0.126596	−	0.991954i	$-0.459595\pi$
$571$	6.05017			0.253192			0.126596	+	0.991954i	$0.459595\pi$
$572$	0.820260	+	1.17145i	0.0342968	+	0.0489809i
$573$	31.6445	−	20.7492i	1.32197	−	0.866812i
$574$	3.79039	−	10.4140i	0.158208	−	0.434672i
$575$	20.5632	+	40.1295i	0.857544	+	1.67352i
$576$	0.339901	+	2.98068i	0.0141625	+	0.124195i
$577$	8.38906	−	31.3084i	0.349241	−	1.30339i	−0.538338	−	0.842729i	$-0.680948\pi$
$577$	8.38906	−	31.3084i	0.349241	−	1.30339i	0.887579	−	0.460656i	$-0.152386\pi$
$578$	13.9780	−	3.74539i	0.581407	−	0.155788i
$579$	−13.2364	−	16.7887i	−0.550088	−	0.697713i
$580$	−1.16733	+	7.42541i	−0.0484709	+	0.308323i
$581$	−3.19167	−	1.84271i	−0.132413	−	0.0764486i
$582$	3.50668	+	14.8891i	0.145357	+	0.617172i
$583$	0.211493	−	2.41738i	0.00875917	−	0.100118i
$584$	2.56563	−	0.933813i	0.106167	−	0.0386415i
$585$	−12.9807	+	25.0116i	−0.536684	+	1.03410i
$586$	10.6597	+	8.94451i	0.440346	+	0.369494i
$587$	−21.5020	−	30.7080i	−0.887481	−	1.26745i	−0.962778	−	0.270293i	$-0.912879\pi$
$587$	−21.5020	−	30.7080i	−0.887481	−	1.26745i	0.0752973	−	0.997161i	$-0.476009\pi$
$588$	−11.0087	−	3.31266i	−0.453991	−	0.136612i
$589$	−12.3072	+	17.4170i	−0.507108	+	0.717657i
$590$	5.64823	+	11.5469i	0.232534	+	0.475379i
$591$	−0.401060	−	1.21605i	−0.0164974	−	0.0500218i
$592$	−0.152211	−	1.73978i	−0.00625582	−	0.0715043i
$593$	1.35380	+	2.90323i	0.0555939	+	0.119221i	0.932142	−	0.362092i	$-0.117938\pi$
$593$	1.35380	+	2.90323i	0.0555939	+	0.119221i	−0.876548	+	0.481314i	$0.840160\pi$
$594$	−0.450630	−	1.71060i	−0.0184896	−	0.0701866i
$595$	16.6507	+	43.2281i	0.682612	+	1.77218i
$596$	4.02174	−	2.32195i	0.164737	−	0.0951109i
$597$	−5.17870	−	5.50458i	−0.211950	−	0.225287i
$598$	31.0322	+	21.7290i	1.26900	+	0.888563i
$599$	−6.85874	−	38.8979i	−0.280241	−	1.58932i	−0.721807	−	0.692095i	$-0.756688\pi$
$599$	−6.85874	−	38.8979i	−0.280241	−	1.58932i	0.441566	−	0.897229i	$-0.354423\pi$
$600$	6.67133	+	5.52208i	0.272356	+	0.225438i
$601$	−9.62535	−	16.6716i	−0.392626	−	0.680049i	0.600169	−	0.799873i	$-0.295100\pi$
$601$	−9.62535	−	16.6716i	−0.392626	−	0.680049i	−0.992795	+	0.119825i	$0.961767\pi$
$602$	2.20877	−	25.2463i	0.0900226	−	1.02896i
$603$	6.93534	+	11.3150i	0.282429	+	0.460781i
$604$	1.00968	−	2.77408i	0.0410834	−	0.112876i
$605$	20.8470	−	12.5587i	0.847551	−	0.510585i
$606$	−20.8676	+	6.88222i	−0.847687	+	0.279571i
$607$	−18.3043	−	18.3043i	−0.742947	−	0.742947i	0.230197	−	0.973144i	$-0.426063\pi$
$607$	−18.3043	−	18.3043i	−0.742947	−	0.742947i	−0.973144	+	0.230197i	$0.926063\pi$
$608$	4.10238	−	1.47326i	0.166373	−	0.0597484i
$609$	10.1779	+	18.9397i	0.412429	+	0.767477i
$610$	−6.44163	+	1.85511i	−0.260814	+	0.0751113i
$611$	−24.8740	+	29.6437i	−1.00630	+	1.19926i
$612$	2.48597	−	16.6451i	0.100489	−	0.672838i
$613$	−13.8744	+	29.7537i	−0.560382	+	1.20174i	0.398299	+	0.917256i	$0.369601\pi$
$613$	−13.8744	+	29.7537i	−0.560382	+	1.20174i	−0.958680	+	0.284486i	$0.908177\pi$
$614$	5.49454	−	4.61047i	0.221742	−	0.186063i
$615$	−1.15063	+	11.5657i	−0.0463978	+	0.466375i
$616$	0.628595	−	1.08876i	0.0253268	−	0.0438673i
$617$	27.4383	+	19.2125i	1.10462	+	0.773465i	0.975901	−	0.218215i	$-0.0700235\pi$
$617$	27.4383	+	19.2125i	1.10462	+	0.773465i	0.128722	+	0.991681i	$0.458912\pi$
$618$	9.67697	+	1.14487i	0.389265	+	0.0460532i
$619$	−26.8288	−	15.4896i	−1.07834	−	0.622580i	−0.147892	−	0.989004i	$-0.547249\pi$
$619$	−26.8288	−	15.4896i	−1.07834	−	0.622580i	−0.930448	+	0.366424i	$0.880582\pi$
$620$	2.09983	+	10.7369i	0.0843311	+	0.431203i
$621$	−26.7158	−	38.4986i	−1.07207	−	1.54490i
$622$	−13.3269	−	6.21442i	−0.534358	−	0.249175i
$623$	−16.1075	−	34.5425i	−0.645331	−	1.38392i
$624$	7.12350	+	1.48133i	0.285168	+	0.0593005i
$625$	24.9308	−	1.85840i	0.997233	−	0.0743360i
$626$			12.5731i			0.502524i
$627$	−2.26923	+	1.20693i	−0.0906244	+	0.0482003i
$628$	1.69606	−	1.69606i	0.0676802	−	0.0676802i
$629$	−1.70128	+	9.64842i	−0.0678343	+	0.384708i
$630$	24.7504	+	1.04974i	0.986079	+	0.0418226i
$631$	35.3856	+	12.8793i	1.40868	+	0.512717i	0.930742	−	0.365677i	$-0.119162\pi$
$631$	35.3856	+	12.8793i	1.40868	+	0.512717i	0.477937	+	0.878394i	$0.341385\pi$
$632$	7.13606	−	15.3033i	0.283857	−	0.608734i
$633$	45.4153	−	19.5146i	1.80509	−	0.775634i
$634$	−14.2936	+	8.25239i	−0.567669	+	0.327744i
$635$	−2.74438	+	39.9047i	−0.108907	+	1.58357i
$636$	−7.64381	−	9.69515i	−0.303097	−	0.384438i
$637$	−15.9924	+	22.8396i	−0.633643	+	0.904937i
$638$	−1.10539	+	0.296189i	−0.0437629	+	0.0117262i
$639$	−20.2585	−	1.23707i	−0.801412	−	0.0489379i
$640$	0.907145	−	2.04379i	0.0358581	−	0.0807880i
$641$	6.20561	+	17.0498i	0.245107	+	0.673426i	0.999849	+	0.0174035i	$0.00553999\pi$
$641$	6.20561	+	17.0498i	0.245107	+	0.673426i	−0.754742	+	0.656022i	$0.772238\pi$
$642$	0.994379	−	1.33177i	0.0392450	−	0.0525608i
$643$	46.2694	−	4.04805i	1.82469	−	0.159639i	0.877344	−	0.479862i	$-0.159313\pi$
$643$	46.2694	−	4.04805i	1.82469	−	0.159639i	0.947342	+	0.320223i	$0.103758\pi$
$644$	5.78307	−	32.7974i	0.227885	−	1.29240i
$645$	4.30372	+	26.2279i	0.169459	+	1.03272i
$646$	−24.3689	+	2.02676i	−0.958781	+	0.0797418i
$647$	26.4427	−	26.4427i	1.03957	−	1.03957i	0.0403862	−	0.999184i	$-0.487141\pi$
$647$	26.4427	−	26.4427i	1.03957	−	1.03957i	0.999184	−	0.0403862i	$-0.0128588\pi$
$648$	−7.63336	−	4.76778i	−0.299867	−	0.187296i
$649$	−1.25796	+	1.49918i	−0.0493793	+	0.0588480i
$650$	17.7865	−	11.1711i	0.697645	−	0.438167i
$651$	23.3486	+	20.8374i	0.915103	+	0.816680i
$652$	−24.4755	−	2.14133i	−0.958534	−	0.0838608i
$653$	−10.2634	+	38.3036i	−0.401639	+	1.49894i	0.408532	+	0.912744i	$0.366041\pi$
$653$	−10.2634	+	38.3036i	−0.401639	+	1.49894i	−0.810171	+	0.586193i	$0.800626\pi$
$654$	9.21844	+	0.281198i	0.360469	+	0.0109957i
$655$	5.53530	−	35.2100i	0.216282	−	1.37577i
$656$	2.95541	−	0.521118i	0.115389	−	0.0203463i
$657$	−2.59824	+	7.76784i	−0.101367	+	0.303052i
$658$	32.8596	+	8.80471i	1.28100	+	0.343244i
$659$	−7.83596	+	6.57515i	−0.305246	+	0.256131i	−0.782524	−	0.622621i	$-0.786068\pi$
$659$	−7.83596	+	6.57515i	−0.305246	+	0.256131i	0.477278	+	0.878752i	$0.341623\pi$
$660$	−0.356376	+	1.26943i	−0.0138719	+	0.0494124i
$661$	−21.9995	−	8.00717i	−0.855682	−	0.311443i	−0.123327	−	0.992366i	$-0.539356\pi$
$661$	−21.9995	−	8.00717i	−0.855682	−	0.311443i	−0.732355	+	0.680923i	$0.761579\pi$
$662$	−26.6775	+	2.33398i	−1.03685	+	0.0907128i
$663$	−36.4497	−	18.3699i	−1.41559	−	0.713428i
$664$		−	0.997981i		−	0.0387292i
$665$	−6.75698	−	35.3539i	−0.262024	−	1.37096i
$666$	4.36923	+	2.89132i	0.169304	+	0.112036i
$667$	−24.8327	+	17.3880i	−0.961526	+	0.673268i
$668$	−0.757511	−	8.65839i	−0.0293090	−	0.335003i
$669$	−14.2675	+	2.06939i	−0.551612	+	0.0800074i
$670$	−0.183989	−	9.89013i	−0.00710812	−	0.382089i
$671$	−0.656017	−	0.781811i	−0.0253253	−	0.0301815i
$672$	−1.46633	−	6.22592i	−0.0565649	−	0.240170i
$673$	−4.23210	−	15.7944i	−0.163135	−	0.608830i	−0.998271	−	0.0587852i	$-0.981277\pi$
$673$	−4.23210	−	15.7944i	−0.163135	−	0.608830i	0.835135	−	0.550045i	$-0.185389\pi$
$674$	0.839931	+	4.76348i	0.0323529	+	0.183483i
$675$	−25.4234	+	5.35287i	−0.978545	+	0.206032i
$676$	2.32309	−	4.02371i	0.0893495	−	0.154758i
$677$	−22.4743	−	6.02198i	−0.863758	−	0.231443i	−0.200372	−	0.979720i	$-0.564215\pi$
$677$	−22.4743	−	6.02198i	−0.863758	−	0.231443i	−0.663387	+	0.748277i	$0.730882\pi$
$678$	0.755329	−	0.324559i	0.0290082	−	0.0124646i
$679$	−11.1544	−	30.6466i	−0.428068	−	1.17611i
$680$	−7.88308	+	9.75768i	−0.302302	+	0.374190i
$681$	2.72880	+	0.567453i	0.104568	+	0.0217449i
$682$	−1.36440	+	0.955365i	−0.0522457	+	0.0365828i
$683$	−11.3200	−	11.3200i	−0.433148	−	0.433148i	0.456550	−	0.889698i	$-0.349085\pi$
$683$	−11.3200	−	11.3200i	−0.433148	−	0.433148i	−0.889698	+	0.456550i	$0.849085\pi$
$684$	−4.20122	+	12.3834i	−0.160638	+	0.473493i
$685$	13.2962	+	27.1820i	0.508021	+	1.03857i
$686$	−1.31870	−	0.232522i	−0.0503480	−	0.00887772i
$687$	16.2310	−	10.6426i	0.619251	−	0.406042i
$688$	6.21962	−	2.90026i	0.237121	−	0.110571i
$689$	−28.1369	+	10.2410i	−1.07193	+	0.390151i
$690$	2.63011	+	34.8284i	0.100127	+	1.32589i
$691$	5.80549	+	10.0554i	0.220851	+	0.382526i	0.955067	−	0.296391i	$-0.0957831\pi$
$691$	5.80549	+	10.0554i	0.220851	+	0.382526i	−0.734215	+	0.678917i	$0.762450\pi$
$692$	3.24141	+	12.0971i	0.123220	+	0.459863i
$693$	1.38263	+	3.50900i	0.0525217	+	0.133296i
$694$	8.29825	−	1.46320i	0.314997	−	0.0555425i
$695$	−25.0125	+	21.7935i	−0.948778	+	0.826674i
$696$	−3.06356	+	4.95119i	−0.116124	+	0.187674i
$697$	−16.7713	−	1.46730i	−0.635257	−	0.0555778i
$698$	25.6750	+	11.9725i	0.971814	+	0.453164i
$699$	−0.842426	−	5.80812i	−0.0318635	−	0.219683i
$700$	−15.5086	−	10.0209i	−0.586171	−	0.378753i
$701$	39.4214	+	6.95105i	1.48892	+	0.262537i	0.858138	−	0.513419i	$-0.171621\pi$
$701$	39.4214	+	6.95105i	1.48892	+	0.262537i	0.630786	+	0.775957i	$0.282733\pi$
$702$	−16.7800	+	13.9599i	−0.633319	+	0.526883i
$703$	2.63426	−	7.14216i	0.0993532	−	0.269372i
$704$	0.340436			0.0128307
$705$	−35.6753	−	0.424316i	−1.34361	−	0.0159807i
$706$	7.15075	+	6.00019i	0.269122	+	0.225820i
$707$	42.4594	−	19.7991i	1.59685	−	0.744623i
$708$	0.564972	+	9.94089i	0.0212329	+	0.373601i
$709$	7.58824	+	9.04331i	0.284982	+	0.339629i	0.889477	−	0.456981i	$-0.151069\pi$
$709$	7.58824	+	9.04331i	0.284982	+	0.339629i	−0.604494	+	0.796610i	$0.706625\pi$
$710$	12.5513	+	8.44501i	0.471042	+	0.316936i
$711$	22.6071	+	45.3317i	0.847831	+	1.70007i
$712$	5.91976	−	8.45429i	0.221852	−	0.316838i
$713$	−25.3079	+	36.1435i	−0.947789	+	1.35358i
$714$	−1.09404	+	35.8658i	−0.0409436	+	1.34224i
$715$	2.65311	+	1.78512i	0.0992207	+	0.0667597i
$716$	−12.8531	−	15.3177i	−0.480343	−	0.572451i
$717$	−28.5462	+	1.62237i	−1.06608	+	0.0605884i
$718$	−1.65633	+	0.772359i	−0.0618136	+	0.0288242i
$719$	−13.3769	−	11.2245i	−0.498874	−	0.418605i	0.358320	−	0.933599i	$-0.383350\pi$
$719$	−13.3769	−	11.2245i	−0.498874	−	0.418605i	−0.857194	+	0.514994i	$0.827794\pi$
$720$	3.10491	+	5.94639i	0.115713	+	0.221609i
$721$	−20.7760			−0.773740
$722$	18.9128	+	1.81820i	0.703862	+	0.0676663i
$723$	−24.6879	−	7.42889i	−0.918152	−	0.276283i
$724$	−19.5261	−	3.44299i	−0.725684	−	0.127958i
$725$	3.53224	+	16.4323i	0.131184	+	0.610280i
$726$	18.6566	−	2.70601i	0.692411	−	0.100429i
$727$	−21.6026	−	10.0734i	−0.801195	−	0.373604i	−0.0215050	−	0.999769i	$-0.506846\pi$
$727$	−21.6026	−	10.0734i	−0.801195	−	0.373604i	−0.779690	+	0.626165i	$0.784624\pi$
$728$	−15.4538	−	1.35203i	−0.572756	−	0.0501097i
$729$	25.4487	−	9.02024i	0.942544	−	0.334083i
$730$	4.60298	−	4.01060i	0.170364	−	0.148439i
$731$	−37.9136	+	6.68519i	−1.40229	+	0.247261i
$732$	−5.15650	−	0.610056i	−0.190590	−	0.0225483i
$733$	2.58607	+	9.65135i	0.0955188	+	0.356481i	0.997098	−	0.0761340i	$-0.0242577\pi$
$733$	2.58607	+	9.65135i	0.0955188	+	0.356481i	−0.901579	+	0.432615i	$0.857591\pi$
$734$	−6.13401	−	10.6244i	−0.226410	−	0.392154i
$735$	−25.6336	+	1.93575i	−0.945508	+	0.0714012i
$736$	8.47438	−	3.08442i	0.312370	−	0.113693i
$737$	1.36491	−	0.636467i	0.0502770	−	0.0234446i
$738$	−4.29509	+	7.91241i	−0.158104	+	0.291260i
$739$	30.3922	+	5.35897i	1.11800	+	0.197133i	0.701961	−	0.712215i	$-0.252308\pi$
$739$	30.3922	+	5.35897i	1.11800	+	0.197133i	0.416036	+	0.909348i	$0.363419\pi$
$740$	−1.71592	−	3.50793i	−0.0630784	−	0.128954i
$741$	25.3310	+	19.0833i	0.930557	+	0.701043i
$742$	18.6130	+	18.6130i	0.683305	+	0.683305i
$743$	2.16652	−	1.51702i	0.0794820	−	0.0556539i	−0.533160	−	0.846014i	$-0.678996\pi$
$743$	2.16652	−	1.51702i	0.0794820	−	0.0556539i	0.612642	+	0.790360i	$0.290107\pi$
$744$	−1.72531	+	8.29680i	−0.0632531	+	0.304176i
$745$	6.52566	−	8.07745i	0.239082	−	0.295935i
$746$	−9.04242	−	24.8439i	−0.331067	−	0.909598i
$747$	2.34327	+	1.86354i	0.0857356	+	0.0681835i
$748$	−1.84474	−	0.494296i	−0.0674503	−	0.0180733i
$749$	−1.77182	+	3.06888i	−0.0647408	+	0.112134i
$750$	18.3589	+	6.16057i	0.670370	+	0.224952i
$751$	−7.00962	−	39.7536i	−0.255785	−	1.45063i	−0.794050	−	0.607852i	$-0.792031\pi$
$751$	−7.00962	−	39.7536i	−0.255785	−	1.45063i	0.538265	−	0.842775i	$-0.319080\pi$
$752$	2.38424	+	8.89810i	0.0869442	+	0.324480i
$753$	−49.1473	+	11.5752i	−1.79103	+	0.421823i
$754$	9.07674	+	10.8172i	0.330555	+	0.393940i
$755$	−0.122782	−	6.59998i	−0.00446848	−	0.240198i
$756$	17.3566	+	8.18280i	0.631254	+	0.297605i
$757$	−1.86440	−	21.3102i	−0.0677629	−	0.774534i	−0.951720	−	0.306966i	$-0.900686\pi$
$757$	−1.86440	−	21.3102i	−0.0677629	−	0.774534i	0.883957	−	0.467567i	$-0.154869\pi$
$758$	2.76973	−	1.93939i	0.100601	−	0.0704418i
$759$	−4.68413	+	2.51717i	−0.170023	+	0.0913674i
$760$	7.37604	−	6.37135i	0.267557	−	0.231113i
$761$		−	0.522080i		−	0.0189254i	−0.999955	−	0.00946269i	$-0.996988\pi$
$761$		−	0.522080i		−	0.0189254i	0.999955	−	0.00946269i	$-0.00301211\pi$
$762$	−13.9441	+	27.6679i	−0.505140	+	1.00230i
$763$	−19.5888	+	1.71380i	−0.709163	+	0.0620438i
$764$	−20.5297	−	7.47219i	−0.742737	−	0.270334i
$765$	−8.19090	−	36.7302i	−0.296143	−	1.32798i
$766$	−23.8031	+	19.9732i	−0.860041	+	0.721660i
$767$	23.3257	+	6.25009i	0.842240	+	0.225678i
$768$	1.26152	−	1.18683i	0.0455211	−	0.0428262i
$769$	20.7375	−	3.65658i	0.747813	−	0.131860i	0.213261	−	0.976995i	$-0.431591\pi$
$769$	20.7375	−	3.65658i	0.747813	−	0.131860i	0.534552	+	0.845136i	$0.320480\pi$
$770$	0.436575	−	2.77706i	0.0157331	−	0.100078i
$771$	−0.721479	+	23.6520i	−0.0259834	+	0.851807i
$772$	−3.19465	+	11.9226i	−0.114978	+	0.429104i
$773$	−21.1287	−	1.84853i	−0.759948	−	0.0664869i	−0.299407	−	0.954125i	$-0.596789\pi$
$773$	−21.1287	−	1.84853i	−0.759948	−	0.0664869i	−0.460541	+	0.887639i	$0.652345\pi$
$774$	−4.80416	+	20.0194i	−0.172682	+	0.719582i
$775$	13.0111	+	20.7161i	0.467373	+	0.744146i
$776$	5.67672	−	6.76525i	0.203782	−	0.242858i
$777$	−9.97533	−	5.02737i	−0.357863	−	0.180356i
$778$	17.3770	−	17.3770i	0.622996	−	0.622996i
$779$	12.6207	+	3.43977i	0.452184	+	0.123243i
$780$	16.0547	−	2.63440i	0.574850	−	0.0943265i
$781$	−0.399944	+	2.26819i	−0.0143111	+	0.0811623i
$782$	−50.3990	+	4.40934i	−1.80227	+	0.157678i
$783$	−5.90481	−	16.4387i	−0.211021	−	0.587470i
$784$	2.27012	+	6.23712i	0.0810759	+	0.222754i
$785$	2.17587	−	4.90223i	0.0776602	−	0.174968i
$786$	14.5268	−	23.4777i	0.518155	−	0.837421i
$787$	−19.0183	+	5.09595i	−0.677930	+	0.181651i	−0.581324	−	0.813672i	$-0.697465\pi$
$787$	−19.0183	+	5.09595i	−0.677930	+	0.181651i	−0.0966058	+	0.995323i	$0.530799\pi$
$788$	−0.424038	+	0.605589i	−0.0151057	+	0.0215732i
$789$	31.6989	−	24.9919i	1.12851	−	0.889734i
$790$	2.59055	−	37.6678i	0.0921675	−	1.34016i
$791$	−1.51797	+	0.876402i	−0.0539729	+	0.0311613i
$792$	−0.635701	+	0.799345i	−0.0225886	+	0.0284035i
$793$	−5.32214	+	11.4134i	−0.188995	+	0.405300i
$794$	−10.6263	−	3.86767i	−0.377114	−	0.137258i
$795$	−23.7421	−	14.0866i	−0.842045	−	0.499601i
$796$	−0.757707	+	4.29717i	−0.0268562	+	0.152309i
$797$	−4.02450	+	4.02450i	−0.142555	+	0.142555i	−0.774783	−	0.632228i	$-0.782141\pi$
$797$	−4.02450	+	4.02450i	−0.142555	+	0.142555i	0.632228	+	0.774783i	$0.282141\pi$
$798$	5.79331	−	27.2721i	0.205081	−	0.965423i
$799$		−	51.6784i		−	1.82825i
$800$	0.250216	−	4.99374i	0.00884648	−	0.176555i
$801$	8.79669	+	29.6865i	0.310816	+	1.04892i
$802$	−9.79564	−	21.0068i	−0.345896	−	0.741777i
$803$	0.842402	+	0.392818i	0.0297277	+	0.0138623i
$804$	2.83893	−	7.11685i	0.100121	−	0.250992i
$805$	−14.2932	−	73.0840i	−0.503768	−	2.57587i
$806$	17.7991	+	10.2763i	0.626948	+	0.361968i
$807$	2.12051	−	17.9236i	0.0746455	−	0.630940i
$808$	10.3919	+	7.27651i	0.365587	+	0.255987i
$809$	−2.34621	+	4.06375i	−0.0824882	+	0.142874i	−0.904318	−	0.426859i	$-0.859620\pi$
$809$	−2.34621	+	4.06375i	−0.0824882	+	0.142874i	0.821830	+	0.569733i	$0.192953\pi$
$810$	−19.7600	−	3.81342i	−0.694296	−	0.133990i
$811$	28.8006	−	24.1665i	1.01132	−	0.848602i	0.0228116	−	0.999740i	$-0.492738\pi$
$811$	28.8006	−	24.1665i	1.01132	−	0.848602i	0.988513	+	0.151138i	$0.0482938\pi$
$812$	5.24628	−	11.2507i	0.184108	−	0.394821i
$813$	13.3892	+	9.99715i	0.469579	+	0.350616i
$814$	0.382166	−	0.455447i	0.0133949	−	0.0159634i
$815$	−52.7923	+	15.2035i	−1.84923	+	0.532557i
$816$	−8.55908	+	4.59950i	−0.299628	+	0.161015i
$817$	29.9131	+	0.128250i	1.04653	+	0.00448691i
$818$	−25.3210	−	25.3210i	−0.885329	−	0.885329i
$819$	32.0317	−	33.7610i	1.11928	−	1.17970i
$820$	5.74800	−	3.46273i	0.200729	−	0.120924i
$821$	4.75159	−	13.0549i	0.165832	−	0.455619i	−0.828745	−	0.559627i	$-0.810945\pi$
$821$	4.75159	−	13.0549i	0.165832	−	0.455619i	0.994576	+	0.104008i	$0.0331667\pi$
$822$	1.32997	+	23.4013i	0.0463879	+	0.816213i
$823$	−0.139278	+	1.59195i	−0.00485492	+	0.0554920i	−0.998236	−	0.0593759i	$-0.981089\pi$
$823$	−0.139278	+	1.59195i	−0.00485492	+	0.0554920i	0.993381	+	0.114868i	$0.0366445\pi$
$824$	−2.81298	−	4.87223i	−0.0979949	−	0.169732i
$825$	0.276653	+	2.93525i	0.00963183	+	0.102192i
$826$	−3.68639	−	20.9065i	−0.128266	−	0.727431i
$827$	1.75703	+	1.23029i	0.0610981	+	0.0427813i	0.603726	−	0.797192i	$-0.293682\pi$
$827$	1.75703	+	1.23029i	0.0610981	+	0.0427813i	−0.542628	+	0.839973i	$0.682571\pi$
$828$	−8.58209	+	25.6575i	−0.298248	+	0.891660i
$829$	15.7335	−	9.08377i	0.546449	−	0.315492i	−0.201240	−	0.979542i	$-0.564497\pi$
$829$	15.7335	−	9.08377i	0.546449	−	0.315492i	0.747688	+	0.664050i	$0.231164\pi$
$830$	−0.802108	−	2.08241i	−0.0278416	−	0.0722817i
$831$	−12.2548	−	10.9367i	−0.425113	−	0.379391i
$832$	−1.77531	−	3.80716i	−0.0615477	−	0.131989i
$833$	−3.24526	−	37.0935i	−0.112442	−	1.28521i
$834$	−24.4043	+	8.04864i	−0.845051	+	0.278702i
$835$	−8.53966	−	17.4580i	−0.295527	−	0.604159i
$836$	1.34219	+	0.632894i	0.0464207	+	0.0218891i
$837$	−16.2592	−	19.5438i	−0.562002	−	0.675532i
$838$	−12.8213	−	18.3107i	−0.442904	−	0.632533i
$839$	−4.76622	−	3.99933i	−0.164548	−	0.138072i	0.556795	−	0.830650i	$-0.312031\pi$
$839$	−4.76622	−	3.99933i	−0.164548	−	0.138072i	−0.721344	+	0.692577i	$0.756475\pi$
$840$	−8.06365	−	11.8126i	−0.278222	−	0.407575i
$841$	16.6327	−	6.05380i	0.573540	−	0.208752i
$842$	0.244175	−	2.79093i	0.00841481	−	0.0961817i
$843$	41.5864	−	9.79445i	1.43231	−	0.337339i
$844$	−24.7152	−	14.2693i	−0.850732	−	0.491171i
$845$	1.61344	−	10.2631i	0.0555042	−	0.353062i
$846$	−25.3449	−	11.0173i	−0.871376	−	0.378784i
$847$	−38.8242	+	10.4029i	−1.33401	+	0.357448i
$848$	−1.84485	+	6.88509i	−0.0633526	+	0.236435i
$849$	−18.0427	+	45.2308i	−0.619224	+	1.55232i
$850$	−8.60652	+	26.6965i	−0.295201	+	0.915683i
$851$	5.38670	−	14.7998i	0.184654	−	0.507332i
$852$	6.42539	+	9.79930i	0.220130	+	0.335719i
$853$	−0.966293	−	1.38001i	−0.0330852	−	0.0472506i	0.802269	−	0.596963i	$-0.203626\pi$
$853$	−0.966293	−	1.38001i	−0.0330852	−	0.0472506i	−0.835354	+	0.549713i	$0.814737\pi$
$854$	11.0708			0.378834
$855$	1.18658	+	29.2163i	0.0405802	+	0.999176i
$856$	−0.959584			−0.0327979
$857$	6.11883	+	8.73860i	0.209015	+	0.298505i	0.909948	−	0.414723i	$-0.136121\pi$
$857$	6.11883	+	8.73860i	0.209015	+	0.298505i	−0.700932	+	0.713228i	$0.747233\pi$
$858$	1.35821	+	2.07139i	0.0463685	+	0.0707161i
$859$	4.99406	−	13.7211i	0.170395	−	0.468156i	−0.824874	−	0.565317i	$-0.808754\pi$
$859$	4.99406	−	13.7211i	0.170395	−	0.468156i	0.995269	+	0.0971607i	$0.0309761\pi$
$860$	10.6470	−	11.0507i	0.363060	−	0.376824i
$861$	7.11205	−	17.8290i	0.242378	−	0.607612i
$862$	−4.43422	+	16.5487i	−0.151030	+	0.563653i
$863$	6.22461	−	1.66788i	0.211888	−	0.0567753i	−0.151313	−	0.988486i	$-0.548350\pi$
$863$	6.22461	−	1.66788i	0.211888	−	0.0567753i	0.363202	+	0.931711i	$0.381684\pi$
$864$	0.431043	+	5.17824i	0.0146644	+	0.176167i
$865$	16.4864	+	22.6369i	0.560556	+	0.769679i
$866$	−1.68398	−	0.972246i	−0.0572239	−	0.0330383i
$867$	24.3971	−	5.74601i	0.828569	−	0.195145i
$868$	1.57472	−	17.9992i	0.0534496	−	0.610932i
$869$	5.40171	−	1.96606i	0.183240	−	0.0666941i
$870$	−2.41308	+	12.7936i	−0.0818109	+	0.433743i
$871$	−14.2355	−	11.9450i	−0.482350	−	0.404740i
$872$	−3.05415	−	4.36177i	−0.103426	−	0.147708i
$873$	5.28464	+	25.9618i	0.178858	+	0.878675i
$874$	39.1450	+	3.59392i	1.32410	+	0.121566i
$875$	−40.4148	−	8.44508i	−1.36627	−	0.285496i
$876$	4.49105	−	1.48117i	0.151739	−	0.0500441i
$877$	1.87668	+	21.4506i	0.0633710	+	0.724334i	0.959715	+	0.280975i	$0.0906578\pi$
$877$	1.87668	+	21.4506i	0.0633710	+	0.724334i	−0.896344	+	0.443359i	$0.853787\pi$
$878$	2.87810	+	6.17211i	0.0971312	+	0.208299i
$879$	17.9821	+	16.0481i	0.606522	+	0.541288i
$880$	0.710363	−	0.273619i	0.0239463	−	0.00922368i
$881$	−19.8037	+	11.4337i	−0.667203	+	0.385210i	−0.795016	−	0.606588i	$-0.792538\pi$
$881$	−19.8037	+	11.4337i	−0.667203	+	0.385210i	0.127813	+	0.991798i	$0.459204\pi$
$882$	−18.8838	−	6.31639i	−0.635852	−	0.212684i
$883$	40.7686	+	28.5465i	1.37197	+	0.960666i	0.999467	+	0.0326361i	$0.0103902\pi$
$883$	40.7686	+	28.5465i	1.37197	+	0.960666i	0.372506	+	0.928030i	$0.378499\pi$
$884$	4.09215	+	23.2077i	0.137634	+	0.780560i
$885$	9.16868	+	20.2888i	0.308202	+	0.682002i
$886$	−0.518026	−	0.897248i	−0.0174034	−	0.0301436i
$887$	−0.492921	+	5.63412i	−0.0165507	+	0.189175i	0.983419	+	0.181350i	$0.0580465\pi$
$887$	−0.492921	+	5.63412i	−0.0165507	+	0.189175i	−0.999969	+	0.00782555i	$0.997509\pi$
$888$	−0.171637	−	3.02002i	−0.00575976	−	0.101345i
$889$	22.5934	−	62.0748i	0.757757	−	2.08192i
$890$	5.55736	−	22.3989i	0.186283	−	0.750811i
$891$	−0.689816	−	2.98526i	−0.0231097	−	0.100010i
$892$	5.88562	+	5.88562i	0.197065	+	0.197065i
$893$	−7.14217	+	39.5138i	−0.239003	+	1.32228i
$894$	7.08525	−	3.80749i	0.236966	−	0.127341i
$895$	−39.1310	−	21.6320i	−1.30800	−	0.723078i
$896$	−2.37374	+	2.82891i	−0.0793011	+	0.0945074i
$897$	52.5768	+	39.2570i	1.75549	+	1.31075i
$898$	−6.91858	+	14.8369i	−0.230876	+	0.495115i
$899$	−12.5989	+	10.5718i	−0.420198	+	0.352588i
$900$	11.2581	+	9.91238i	0.375270	+	0.330413i
$901$	19.9936	−	34.6300i	0.666084	−	1.15369i
$902$	0.836885	+	0.585993i	0.0278652	+	0.0195114i
$903$	5.15717	−	43.5909i	0.171620	−	1.45062i
$904$	−0.411053	−	0.237322i	−0.0136714	−	0.00789321i
$905$	−43.5110	+	8.50953i	−1.44636	+	0.282866i
$906$	1.89451	−	4.74929i	0.0629408	−	0.157785i
$907$	−22.3735	−	10.4329i	−0.742899	−	0.346420i	0.0140431	−	0.999901i	$-0.495530\pi$
$907$	−22.3735	−	10.4329i	−0.742899	−	0.346420i	−0.756942	+	0.653482i	$0.773308\pi$
$908$	−0.680069	−	1.45841i	−0.0225689	−	0.0483991i
$909$	−36.4903	+	10.8128i	−1.21031	+	0.358638i
$910$	−33.3330	+	9.59951i	−1.10498	+	0.318221i
$911$			14.6403i			0.485056i	0.970144	+	0.242528i	$0.0779766\pi$
$911$			14.6403i			0.485056i	−0.970144	+	0.242528i	$0.922023\pi$
$912$	7.18003	−	2.33392i	0.237754	−	0.0772839i
$913$	0.240238	−	0.240238i	0.00795073	−	0.00795073i
$914$	−4.80253	+	27.2365i	−0.158853	+	0.900903i
$915$	−11.2500	+	2.87148i	−0.371914	+	0.0949281i
$916$	−10.5300	−	3.83262i	−0.347922	−	0.126633i
$917$	−24.8769	+	53.3487i	−0.821509	+	1.76173i
$918$	5.18284	−	28.6855i	0.171059	−	0.946762i
$919$	−15.9480	+	9.20756i	−0.526075	+	0.303729i	−0.739417	−	0.673248i	$-0.764899\pi$
$919$	−15.9480	+	9.20756i	−0.526075	+	0.303729i	0.213342	+	0.976978i	$0.431565\pi$
$920$	15.2038	−	13.2472i	0.501256	−	0.436746i
$921$	9.75588	−	7.69169i	0.321467	−	0.253450i
$922$	16.1525	−	23.0681i	0.531953	−	0.759708i
$923$	27.4513	−	7.35555i	0.903570	−	0.242111i
$924$	1.14575	−	1.85171i	0.0376924	−	0.0609169i
$925$	−6.39991	−	5.94061i	−0.210428	−	0.195326i
$926$	0.778704	+	2.13947i	0.0255898	+	0.0703074i
$927$	16.6927	+	2.49308i	0.548262	+	0.0818835i
$928$	3.34874	−	0.292977i	0.109928	−	0.00961743i
$929$	−5.38170	+	30.5212i	−0.176568	+	1.00137i	0.759750	+	0.650215i	$0.225321\pi$
$929$	−5.38170	+	30.5212i	−0.176568	+	1.00137i	−0.936318	+	0.351152i	$0.885790\pi$
$930$	3.06831	+	18.6990i	0.100614	+	0.613165i
$931$	−2.64512	+	28.8106i	−0.0866902	+	0.944229i
$932$	−2.39596	+	2.39596i	−0.0784824	+	0.0784824i
$933$	−22.7439	−	11.4625i	−0.744601	−	0.375264i
$934$	−3.32054	+	3.95726i	−0.108651	+	0.129486i
$935$	−4.24656	+	0.451261i	−0.138877	+	0.0147578i
$936$	12.2543	+	2.94073i	0.400544	+	0.0961207i
$937$	21.0999	+	1.84601i	0.689305	+	0.0603064i	0.426426	−	0.904522i	$-0.359772\pi$
$937$	21.0999	+	1.84601i	0.689305	+	0.0603064i	0.262879	+	0.964829i	$0.415328\pi$
$938$	−4.22819	+	15.7798i	−0.138055	+	0.515229i
$939$	−0.663984	+	21.7672i	−0.0216683	+	0.710346i
$940$	12.1267	+	16.6507i	0.395529	+	0.543087i
$941$	32.4062	−	5.71410i	1.05641	−	0.186274i	0.381649	−	0.924307i	$-0.375356\pi$
$941$	32.4062	−	5.71410i	1.05641	−	0.186274i	0.674765	+	0.738033i	$0.264245\pi$
$942$	3.02587	−	2.84673i	0.0985881	−	0.0927515i
$943$	26.1416	+	7.00462i	0.851288	+	0.228102i
$944$	4.40371	−	3.69515i	0.143329	−	0.120267i
$945$	42.7935	+	3.12442i	1.39207	+	0.101637i
$946$	2.19538	+	0.799052i	0.0713779	+	0.0259794i
$947$	−20.3428	+	1.77977i	−0.661053	+	0.0578347i	−0.412745	−	0.910846i	$-0.635430\pi$
$947$	−20.3428	+	1.77977i	−0.661053	+	0.0578347i	−0.248308	+	0.968681i	$0.579875\pi$
$948$	13.1624	−	26.1170i	0.427496	−	0.848240i
$949$		−	11.4692i		−	0.372307i
$950$	10.2702	−	19.2230i	0.333209	−	0.623676i
$951$	−25.1815	+	13.5321i	−0.816565	+	0.438807i
$952$	16.9702	−	11.8826i	0.550006	−	0.385118i
$953$	−4.84190	−	55.3431i	−0.156844	−	1.79274i	−0.513077	−	0.858343i	$-0.671495\pi$
$953$	−4.84190	−	55.3431i	−0.156844	−	1.79274i	0.356233	−	0.934397i	$-0.384061\pi$
$954$	−12.7213	−	17.1884i	−0.411868	−	0.556494i
$955$	−48.8434	+	0.908649i	−1.58054	+	0.0294032i
$956$	10.6110	+	12.6457i	0.343183	+	0.408990i
$957$	−1.92935	+	0.454400i	−0.0623669	+	0.0146887i
$958$	−1.32382	−	4.94058i	−0.0427708	−	0.159623i
$959$	−8.67791	−	49.2149i	−0.280224	−	1.58923i
$960$	1.67842	−	3.49040i	0.0541709	−	0.112652i
$961$	3.53106	−	6.11598i	0.113905	−	0.197290i
$962$	−7.08628	−	1.89876i	−0.228471	−	0.0612185i
$963$	1.79185	−	2.25311i	0.0577414	−	0.0726055i
$964$	5.09093	+	13.9872i	0.163968	+	0.450498i
$965$	2.91651	+	27.4457i	0.0938858	+	0.883507i
$966$	11.7439	−	56.4750i	0.377855	−	1.81705i
$967$	−7.81850	+	5.47457i	−0.251426	+	0.176050i	−0.692495	−	0.721423i	$-0.743488\pi$
$967$	−7.81850	+	5.47457i	−0.251426	+	0.176050i	0.441069	+	0.897473i	$0.354599\pi$
$968$	−7.69622	−	7.69622i	−0.247366	−	0.247366i
$969$	−42.2955	+	2.22191i	−1.35873	+	0.0713780i
$970$	6.40776	−	18.6791i	0.205741	−	0.599750i
$971$	−13.9032	−	2.45151i	−0.446176	−	0.0786728i	−0.0539537	−	0.998543i	$-0.517182\pi$
$971$	−13.9032	−	2.45151i	−0.446176	−	0.0786728i	−0.392222	+	0.919871i	$0.628293\pi$
$972$	−12.9634	−	8.65732i	−0.415803	−	0.277684i
$973$	49.6555	−	23.1548i	1.59188	−	0.742307i
$974$	34.0655	−	12.3988i	1.09153	−	0.397284i
$975$	31.3828	−	18.4006i	1.00505	−	0.589292i
$976$	1.49893	+	2.59623i	0.0479797	+	0.0831033i
$977$	10.7312	+	40.0493i	0.343321	+	1.28129i	0.894562	+	0.446945i	$0.147488\pi$
$977$	10.7312	+	40.0493i	0.343321	+	1.28129i	−0.551241	+	0.834346i	$0.685845\pi$
$978$	−42.2600	−	4.99971i	−1.35133	−	0.159873i
$979$	3.46019	−	0.610124i	0.110588	−	0.0194997i
$980$	9.74987	+	11.1900i	0.311448	+	0.357451i
$981$	15.9445	+	0.973645i	0.509070	+	0.0310861i
$982$	0.324300	+	0.0283726i	0.0103488	+	0.000905405i
$983$	−19.1149	−	8.91340i	−0.609669	−	0.284293i	0.0931610	−	0.995651i	$-0.470303\pi$
$983$	−19.1149	−	8.91340i	−0.609669	−	0.284293i	−0.702830	+	0.711358i	$0.748081\pi$
$984$	5.14406	−	0.746110i	0.163987	−	0.0237851i
$985$	−0.398079	+	1.60445i	−0.0126838	+	0.0511220i
$986$	−18.5714	−	3.27464i	−0.591433	−	0.104286i
$987$	56.4231	+	16.9784i	1.79597	+	0.540429i
$988$	0.0785046	−	18.3104i	0.00249757	−	0.582532i
$989$	61.8886			1.96794
$990$	−0.684012	+	2.17887i	−0.0217393	+	0.0692490i
$991$	−18.3467	−	15.3947i	−0.582802	−	0.489029i	0.303064	−	0.952970i	$-0.401991\pi$
$991$	−18.3467	−	15.3947i	−0.582802	−	0.489029i	−0.885866	+	0.463941i	$0.846435\pi$
$992$	4.43423	−	2.06772i	0.140787	−	0.0656501i
$993$	−46.3086	+	2.63186i	−1.46956	+	0.0835197i
$994$	−16.0593	−	19.1387i	−0.509370	−	0.607044i
$995$	1.87271	+	9.57558i	0.0593690	+	0.303566i
$996$	0.0527030	−	1.72775i	0.00166996	−	0.0547458i
$997$	−13.4575	+	19.2193i	−0.426203	+	0.608680i	−0.973619	−	0.228180i	$-0.926723\pi$
$997$	−13.4575	+	19.2193i	−0.426203	+	0.608680i	0.547416	+	0.836860i	$0.315611\pi$
$998$	11.4739	−	16.3864i	0.363198	−	0.518701i
$999$	7.41152	+	5.23632i	0.234490	+	0.165670i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.17.6	✓	480
3.2	odd	2	inner	570.2.bi.a.17.29	yes	480
5.3	odd	4	inner	570.2.bi.a.473.18	yes	480
15.8	even	4	inner	570.2.bi.a.473.23	yes	480
19.9	even	9	inner	570.2.bi.a.47.23	yes	480
57.47	odd	18	inner	570.2.bi.a.47.18	yes	480
95.28	odd	36	inner	570.2.bi.a.503.29	yes	480
285.218	even	36	inner	570.2.bi.a.503.6	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.17.6	✓	480	1.1	even	1	trivial
570.2.bi.a.17.29	yes	480	3.2	odd	2	inner
570.2.bi.a.47.18	yes	480	57.47	odd	18	inner
570.2.bi.a.47.23	yes	480	19.9	even	9	inner
570.2.bi.a.473.18	yes	480	5.3	odd	4	inner
570.2.bi.a.473.23	yes	480	15.8	even	4	inner
570.2.bi.a.503.6	yes	480	285.218	even	36	inner
570.2.bi.a.503.29	yes	480	95.28	odd	36	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.573576 - 0.819152i) q^{2} +(-0.949742 - 1.44844i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(0.0415911 + 2.23568i) q^{5} +(-0.641746 + 1.60878i) q^{6} +(0.955789 - 3.56705i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-1.19598 + 2.75130i) q^{9} +O(q^{10})\)	\(q+(-0.573576 - 0.819152i) q^{2} +(-0.949742 - 1.44844i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(0.0415911 + 2.23568i) q^{5} +(-0.641746 + 1.60878i) q^{6} +(0.955789 - 3.56705i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-1.19598 + 2.75130i) q^{9} +(1.80751 - 1.31640i) q^{10} +(0.294826 + 0.170218i) q^{11} +(1.68592 - 0.397069i) q^{12} +(0.366118 - 4.18475i) q^{13} +(-3.47018 + 1.26304i) q^{14} +(3.19876 - 2.18356i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(3.21771 + 4.59537i) q^{17} +(2.93972 - 0.598391i) q^{18} +(-1.82520 - 3.95837i) q^{19} +(-2.11508 - 0.725565i) q^{20} +(-6.07443 + 2.00338i) q^{21} +(-0.0296709 - 0.339140i) q^{22} +(-3.81128 - 8.17331i) q^{23} +(-1.29227 - 1.15328i) q^{24} +(-4.99654 + 0.185969i) q^{25} +(-3.63794 + 2.10037i) q^{26} +(5.12097 - 0.880716i) q^{27} +(3.02503 + 2.11815i) q^{28} +(-0.583724 - 3.31046i) q^{29} +(-3.62340 - 1.36783i) q^{30} +(-2.44632 - 4.23715i) q^{31} +(-0.0871557 + 0.996195i) q^{32} +(-0.0334578 - 0.588702i) q^{33} +(1.91870 - 5.27159i) q^{34} +(8.01455 + 1.98848i) q^{35} +(-2.17632 - 2.06485i) q^{36} +(1.23491 + 1.23491i) q^{37} +(-2.19561 + 3.76554i) q^{38} +(-6.40909 + 3.44413i) q^{39} +(0.618811 + 2.14874i) q^{40} +(-1.92901 + 2.29890i) q^{41} +(5.12522 + 3.82679i) q^{42} +(-2.90026 + 6.21962i) q^{43} +(-0.260789 + 0.218828i) q^{44} +(-6.20077 - 2.55940i) q^{45} +(-4.50913 + 7.81003i) q^{46} +(-7.54602 - 5.28378i) q^{47} +(-0.203497 + 1.72005i) q^{48} +(-5.74816 - 3.31870i) q^{49} +(3.01823 + 3.98626i) q^{50} +(3.60013 - 9.02509i) q^{51} +(3.80716 + 1.77531i) q^{52} +(-3.01241 - 6.46013i) q^{53} +(-3.65871 - 3.68970i) q^{54} +(-0.368291 + 0.666216i) q^{55} -3.69289i q^{56} +(-4.00000 + 6.40312i) q^{57} +(-2.37696 + 2.37696i) q^{58} +(-0.998240 + 5.66130i) q^{59} +(0.957839 + 3.75267i) q^{60} +(-2.81708 - 1.02533i) q^{61} +(-2.06772 + 4.43423i) q^{62} +(8.67092 + 6.89578i) q^{63} +(0.866025 - 0.500000i) q^{64} +(9.37099 + 0.644475i) q^{65} +(-0.463046 + 0.365073i) q^{66} +(2.53737 - 3.62374i) q^{67} +(-5.41875 + 1.45195i) q^{68} +(-8.21885 + 13.2830i) q^{69} +(-2.96809 - 7.70568i) q^{70} +(2.31390 + 6.35740i) q^{71} +(-0.443138 + 2.96709i) q^{72} +(2.71990 - 0.237960i) q^{73} +(0.303263 - 1.71989i) q^{74} +(5.01479 + 7.06059i) q^{75} +(4.34390 - 0.361282i) q^{76} +(0.888968 - 0.888968i) q^{77} +(6.49737 + 3.27455i) q^{78} +(10.8537 - 12.9349i) q^{79} +(1.40521 - 1.73937i) q^{80} +(-6.13927 - 6.58098i) q^{81} +(2.98958 + 0.261554i) q^{82} +(0.258296 - 0.963975i) q^{83} +(0.195020 - 6.39329i) q^{84} +(-10.1399 + 7.38490i) q^{85} +(6.75833 - 1.19168i) q^{86} +(-4.24063 + 3.98958i) q^{87} +(0.328836 + 0.0881113i) q^{88} +(7.90618 - 6.63407i) q^{89} +(1.46008 + 6.54738i) q^{90} +(-14.5773 - 5.30570i) q^{91} +(8.98393 - 0.785992i) q^{92} +(-3.81390 + 7.56755i) q^{93} +9.21199i q^{94} +(8.77373 - 4.24519i) q^{95} +(1.52571 - 0.819888i) q^{96} +(7.23427 - 5.06549i) q^{97} +(0.578488 + 6.61214i) q^{98} +(-0.820925 + 0.607577i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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