LMFDB - Embedded newform 570.2.bi.a.23.1

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			23.1
Character	$\chi$	$=$	570.23
Dual form			570.2.bi.a.347.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.422618 - 0.906308i) q^{2} +(-1.61357 - 0.629597i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(-1.65915 - 1.49907i) q^{5} +(0.111315 + 1.72847i) q^{6} +(0.539376 + 2.01298i) q^{7} +(0.965926 + 0.258819i) q^{8} +(2.20722 + 2.03180i) q^{9} +O(q^{10})$	\(q+(-0.422618 - 0.906308i) q^{2} +(-1.61357 - 0.629597i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(-1.65915 - 1.49907i) q^{5} +(0.111315 + 1.72847i) q^{6} +(0.539376 + 2.01298i) q^{7} +(0.965926 + 0.258819i) q^{8} +(2.20722 + 2.03180i) q^{9} +(-0.657432 + 2.13724i) q^{10} +(-3.78642 + 2.18609i) q^{11} +(1.51948 - 0.831369i) q^{12} +(3.22662 - 2.25930i) q^{13} +(1.59643 - 1.33956i) q^{14} +(1.73335 + 3.46345i) q^{15} +(-0.173648 - 0.984808i) q^{16} +(2.50889 + 5.38034i) q^{17} +(0.908624 - 2.85909i) q^{18} +(-3.26610 - 2.88662i) q^{19} +(2.21484 - 0.307400i) q^{20} +(0.397045 - 3.58767i) q^{21} +(3.58148 + 2.50778i) q^{22} +(5.77215 - 0.504997i) q^{23} +(-1.39564 - 1.02577i) q^{24} +(0.505571 + 4.97437i) q^{25} +(-3.41125 - 1.96949i) q^{26} +(-2.28228 - 4.66810i) q^{27} +(-1.88874 - 0.880732i) q^{28} +(3.16019 - 1.15022i) q^{29} +(2.40641 - 3.03466i) q^{30} +(2.67789 - 4.63824i) q^{31} +(-0.819152 + 0.573576i) q^{32} +(7.48601 - 1.14349i) q^{33} +(3.81594 - 4.54766i) q^{34} +(2.12269 - 4.14840i) q^{35} +(-2.97522 + 0.384811i) q^{36} +(1.42632 - 1.42632i) q^{37} +(-1.23585 + 4.18003i) q^{38} +(-6.62882 + 1.61407i) q^{39} +(-1.21463 - 1.87741i) q^{40} +(-2.40723 + 0.424459i) q^{41} +(-3.41934 + 1.15637i) q^{42} +(2.38153 + 0.208357i) q^{43} +(0.759222 - 4.30576i) q^{44} +(-0.616297 - 6.67983i) q^{45} +(-2.89710 - 5.01792i) q^{46} +(2.85220 + 1.33000i) q^{47} +(-0.339838 + 1.69838i) q^{48} +(2.30101 - 1.32849i) q^{49} +(4.29465 - 2.56046i) q^{50} +(-0.660829 - 10.2611i) q^{51} +(-0.343304 + 3.92398i) q^{52} +(12.3843 - 1.08349i) q^{53} +(-3.26620 + 4.04128i) q^{54} +(9.55936 + 2.04906i) q^{55} +2.08399i q^{56} +(3.45267 + 6.71409i) q^{57} +(-2.37800 - 2.37800i) q^{58} +(-4.57682 - 1.66583i) q^{59} +(-3.76733 - 0.898444i) q^{60} +(6.07641 + 5.09872i) q^{61} +(-5.33540 - 0.466787i) q^{62} +(-2.89945 + 5.53898i) q^{63} +(0.866025 + 0.500000i) q^{64} +(-8.74030 - 1.08840i) q^{65} +(-4.20008 - 6.30137i) q^{66} +(-6.48266 + 13.9021i) q^{67} +(-5.73426 - 1.53649i) q^{68} +(-9.63171 - 2.81928i) q^{69} +(-4.65682 - 0.170622i) q^{70} +(7.74135 + 9.22578i) q^{71} +(1.60614 + 2.53383i) q^{72} +(2.89078 - 4.12846i) q^{73} +(-1.89547 - 0.689894i) q^{74} +(2.31608 - 8.34481i) q^{75} +(4.31069 - 0.646493i) q^{76} +(-6.44287 - 6.44287i) q^{77} +(4.26431 + 5.32562i) q^{78} +(-2.39244 + 0.421851i) q^{79} +(-1.18819 + 1.89426i) q^{80} +(0.743599 + 8.96923i) q^{81} +(1.40203 + 2.00230i) q^{82} +(0.621641 + 2.32000i) q^{83} +(2.49310 + 2.61027i) q^{84} +(3.90287 - 12.6878i) q^{85} +(-0.817641 - 2.24645i) q^{86} +(-5.82336 - 0.133694i) q^{87} +(-4.22321 + 1.13160i) q^{88} +(-1.17246 + 6.64938i) q^{89} +(-5.79353 + 3.38157i) q^{90} +(6.28829 + 5.27650i) q^{91} +(-3.32341 + 4.74633i) q^{92} +(-7.24119 + 5.79814i) q^{93} -3.14705i q^{94} +(1.09171 + 9.68546i) q^{95} +(1.68288 - 0.409770i) q^{96} +(10.3088 - 4.80709i) q^{97} +(-2.17647 - 1.52398i) q^{98} +(-12.7991 - 2.86807i) 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 $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.422618	−	0.906308i	−0.298836	−	0.640856i
$2$	−0.422618	−	0.906308i	−0.298836	−	0.640856i
$3$	−1.61357	−	0.629597i	−0.931595	−	0.363498i
$3$	−1.61357	−	0.629597i	−0.931595	−	0.363498i
$4$	−0.642788	+	0.766044i	−0.321394	+	0.383022i
$5$	−1.65915	−	1.49907i	−0.741995	−	0.670405i
$5$	−1.65915	−	1.49907i	−0.741995	−	0.670405i
$6$	0.111315	+	1.72847i	0.0454444	+	0.705645i
$7$	0.539376	+	2.01298i	0.203865	+	0.760835i	0.989792	+	0.142516i	$0.0455193\pi$
$7$	0.539376	+	2.01298i	0.203865	+	0.760835i	−0.785927	+	0.618319i	$0.787814\pi$
$8$	0.965926	+	0.258819i	0.341506	+	0.0915064i
$9$	2.20722	+	2.03180i	0.735738	+	0.677266i
$10$	−0.657432	+	2.13724i	−0.207898	+	0.675854i
$11$	−3.78642	+	2.18609i	−1.14165	+	0.659131i	−0.946838	−	0.321709i	$-0.895743\pi$
$11$	−3.78642	+	2.18609i	−1.14165	+	0.659131i	−0.194811	+	0.980841i	$0.562409\pi$
$12$	1.51948	−	0.831369i	0.438637	−	0.239996i
$13$	3.22662	−	2.25930i	0.894903	−	0.626618i	−0.0329939	−	0.999456i	$-0.510504\pi$
$13$	3.22662	−	2.25930i	0.894903	−	0.626618i	0.927896	+	0.372838i	$0.121615\pi$
$14$	1.59643	−	1.33956i	0.426664	−	0.358013i
$15$	1.73335	+	3.46345i	0.447548	+	0.894260i
$16$	−0.173648	−	0.984808i	−0.0434120	−	0.246202i
$17$	2.50889	+	5.38034i	0.608496	+	1.30492i	0.933285	+	0.359137i	$0.116929\pi$
$17$	2.50889	+	5.38034i	0.608496	+	1.30492i	−0.324789	+	0.945786i	$0.605293\pi$
$18$	0.908624	−	2.85909i	0.214165	−	0.673894i
$19$	−3.26610	−	2.88662i	−0.749295	−	0.662237i
$19$	−3.26610	−	2.88662i	−0.749295	−	0.662237i
$20$	2.21484	−	0.307400i	0.495253	−	0.0687367i
$21$	0.397045	−	3.58767i	0.0866423	−	0.782895i
$22$	3.58148	+	2.50778i	0.763575	+	0.534661i
$23$	5.77215	−	0.504997i	1.20358	−	0.105299i	0.532332	−	0.846536i	$-0.321316\pi$
$23$	5.77215	−	0.504997i	1.20358	−	0.105299i	0.671244	+	0.741237i	$0.265760\pi$
$24$	−1.39564	−	1.02577i	−0.284883	−	0.209384i
$25$	0.505571	+	4.97437i	0.101114	+	0.994875i
$26$	−3.41125	−	1.96949i	−0.669001	−	0.386248i
$27$	−2.28228	−	4.66810i	−0.439226	−	0.898377i
$28$	−1.88874	−	0.880732i	−0.356938	−	0.166443i
$29$	3.16019	−	1.15022i	0.586833	−	0.213590i	−0.0315030	−	0.999504i	$-0.510029\pi$
$29$	3.16019	−	1.15022i	0.586833	−	0.213590i	0.618336	+	0.785914i	$0.287807\pi$
$30$	2.40641	−	3.03466i	0.439348	−	0.554051i
$31$	2.67789	−	4.63824i	0.480963	−	0.833053i	−0.518798	−	0.854897i	$-0.673620\pi$
$31$	2.67789	−	4.63824i	0.480963	−	0.833053i	0.999761	+	0.0218437i	$0.00695362\pi$
$32$	−0.819152	+	0.573576i	−0.144807	+	0.101395i
$33$	7.48601	−	1.14349i	1.30315	−	0.199056i
$34$	3.81594	−	4.54766i	0.654428	−	0.779917i
$35$	2.12269	−	4.14840i	0.358801	−	0.701208i
$36$	−2.97522	+	0.384811i	−0.495870	+	0.0641352i
$37$	1.42632	−	1.42632i	0.234485	−	0.234485i	−0.580077	−	0.814562i	$-0.696977\pi$
$37$	1.42632	−	1.42632i	0.234485	−	0.234485i	0.814562	+	0.580077i	$0.196977\pi$
$38$	−1.23585	+	4.18003i	−0.200482	+	0.678091i
$39$	−6.62882	+	1.61407i	−1.06146	+	0.258458i
$40$	−1.21463	−	1.87741i	−0.192050	−	0.296845i
$41$	−2.40723	+	0.424459i	−0.375945	+	0.0662893i	−0.358428	−	0.933557i	$-0.616687\pi$
$41$	−2.40723	+	0.424459i	−0.375945	+	0.0662893i	−0.0175171	+	0.999847i	$0.505576\pi$
$42$	−3.41934	+	1.15637i	−0.527615	+	0.178432i
$43$	2.38153	+	0.208357i	0.363179	+	0.0317741i	0.267285	−	0.963617i	$-0.413873\pi$
$43$	2.38153	+	0.208357i	0.363179	+	0.0317741i	0.0958941	+	0.995392i	$0.469429\pi$
$44$	0.759222	−	4.30576i	0.114457	−	0.649118i
$45$	−0.616297	−	6.67983i	−0.0918722	−	0.995771i
$46$	−2.89710	−	5.01792i	−0.427154	−	0.739852i
$47$	2.85220	+	1.33000i	0.416036	+	0.194001i	0.619354	−	0.785112i	$-0.287395\pi$
$47$	2.85220	+	1.33000i	0.416036	+	0.194001i	−0.203318	+	0.979113i	$0.565172\pi$
$48$	−0.339838	+	1.69838i	−0.0490515	+	0.245141i
$49$	2.30101	−	1.32849i	0.328716	−	0.189785i
$50$	4.29465	−	2.56046i	0.607355	−	0.362104i
$51$	−0.660829	−	10.2611i	−0.0925346	−	1.43685i
$52$	−0.343304	+	3.92398i	−0.0476077	+	0.544159i
$53$	12.3843	−	1.08349i	1.70112	−	0.148829i	0.805188	−	0.593019i	$-0.202064\pi$
$53$	12.3843	−	1.08349i	1.70112	−	0.148829i	0.895932	+	0.444190i	$0.146509\pi$
$54$	−3.26620	+	4.04128i	−0.444474	+	0.549948i
$55$	9.55936	+	2.04906i	1.28898	+	0.276295i
$56$			2.08399i			0.278485i
$57$	3.45267	+	6.71409i	0.457318	+	0.889303i
$58$	−2.37800	−	2.37800i	−0.312247	−	0.312247i
$59$	−4.57682	−	1.66583i	−0.595851	−	0.216872i	0.0264498	−	0.999650i	$-0.491580\pi$
$59$	−4.57682	−	1.66583i	−0.595851	−	0.216872i	−0.622301	+	0.782778i	$0.713802\pi$
$60$	−3.76733	−	0.898444i	−0.486361	−	0.115989i
$61$	6.07641	+	5.09872i	0.778005	+	0.652824i	0.942745	−	0.333513i	$-0.108234\pi$
$61$	6.07641	+	5.09872i	0.778005	+	0.652824i	−0.164740	+	0.986337i	$0.552679\pi$
$62$	−5.33540	−	0.466787i	−0.677597	−	0.0592820i
$63$	−2.89945	+	5.53898i	−0.365296	+	0.697846i
$64$	0.866025	+	0.500000i	0.108253	+	0.0625000i
$65$	−8.74030	−	1.08840i	−1.08410	−	0.135000i
$66$	−4.20008	−	6.30137i	−0.516994	−	0.775645i
$67$	−6.48266	+	13.9021i	−0.791983	+	1.69841i	−0.0793824	+	0.996844i	$0.525295\pi$
$67$	−6.48266	+	13.9021i	−0.791983	+	1.69841i	−0.712601	+	0.701570i	$0.752483\pi$
$68$	−5.73426	−	1.53649i	−0.695381	−	0.186327i
$69$	−9.63171	−	2.81928i	−1.15952	−	0.339401i
$70$	−4.65682	−	0.170622i	−0.556596	−	0.0203932i
$71$	7.74135	+	9.22578i	0.918729	+	1.09490i	0.995203	+	0.0978271i	$0.0311892\pi$
$71$	7.74135	+	9.22578i	0.918729	+	1.09490i	−0.0764744	+	0.997072i	$0.524366\pi$
$72$	1.60614	+	2.53383i	0.189285	+	0.298615i
$73$	2.89078	−	4.12846i	0.338340	−	0.483200i	−0.613543	−	0.789661i	$-0.710256\pi$
$73$	2.89078	−	4.12846i	0.338340	−	0.483200i	0.951883	+	0.306462i	$0.0991451\pi$
$74$	−1.89547	−	0.689894i	−0.220344	−	0.0801985i
$75$	2.31608	−	8.34481i	0.267437	−	0.963575i
$76$	4.31069	−	0.646493i	0.494470	−	0.0741579i
$77$	−6.44287	−	6.44287i	−0.734233	−	0.734233i
$78$	4.26431	+	5.32562i	0.482838	+	0.603007i
$79$	−2.39244	+	0.421851i	−0.269170	+	0.0474620i	−0.306604	−	0.951837i	$-0.599193\pi$
$79$	−2.39244	+	0.421851i	−0.269170	+	0.0474620i	0.0374338	+	0.999299i	$0.488082\pi$
$80$	−1.18819	+	1.89426i	−0.132843	+	0.211784i
$81$	0.743599	+	8.96923i	0.0826221	+	0.996581i
$82$	1.40203	+	2.00230i	0.154828	+	0.221117i
$83$	0.621641	+	2.32000i	0.0682340	+	0.254653i	0.991614	−	0.129234i	$-0.0412519\pi$
$83$	0.621641	+	2.32000i	0.0682340	+	0.254653i	−0.923380	+	0.383887i	$0.874585\pi$
$84$	2.49310	+	2.61027i	0.272020	+	0.284803i
$85$	3.90287	−	12.6878i	0.423326	−	1.37619i
$86$	−0.817641	−	2.24645i	−0.0881685	−	0.242241i
$87$	−5.82336	−	0.133694i	−0.624330	−	0.0143335i
$88$	−4.22321	+	1.13160i	−0.450195	+	0.120629i
$89$	−1.17246	+	6.64938i	−0.124281	+	0.704833i	0.857451	+	0.514565i	$0.172047\pi$
$89$	−1.17246	+	6.64938i	−0.124281	+	0.704833i	−0.981732	+	0.190267i	$0.939064\pi$
$90$	−5.79353	+	3.38157i	−0.610691	+	0.356449i
$91$	6.28829	+	5.27650i	0.659192	+	0.553128i
$92$	−3.32341	+	4.74633i	−0.346490	+	0.494839i
$93$	−7.24119	+	5.79814i	−0.750876	+	0.601239i
$94$		−	3.14705i		−	0.324594i
$95$	1.09171	+	9.68546i	0.112007	+	0.993707i
$96$	1.68288	−	0.409770i	0.171758	−	0.0418220i
$97$	10.3088	−	4.80709i	1.04670	−	0.488086i	0.178317	−	0.983973i	$-0.442935\pi$
$97$	10.3088	−	4.80709i	1.04670	−	0.488086i	0.868387	+	0.495887i	$0.165157\pi$
$98$	−2.17647	−	1.52398i	−0.219857	−	0.153946i
$99$	−12.7991	−	2.86807i	−1.28636	−	0.288252i
$100$	−4.13557	−	2.81018i	−0.413557	−	0.281018i
$101$	−8.92594	−	1.57388i	−0.888164	−	0.156607i	−0.289091	−	0.957302i	$-0.593353\pi$
$101$	−8.92594	−	1.57388i	−0.888164	−	0.156607i	−0.599073	+	0.800694i	$0.704464\pi$
$102$	−9.02047	+	4.93546i	−0.893160	+	0.488683i
$103$	0.426490	−	1.59168i	0.0420233	−	0.156833i	−0.941726	−	0.336381i	$-0.890797\pi$
$103$	0.426490	−	1.59168i	0.0420233	−	0.156833i	0.983749	+	0.179548i	$0.0574636\pi$
$104$	3.70142	−	1.34721i	0.362954	−	0.132105i
$105$	−6.03694	+	5.35730i	−0.589145	+	0.522819i
$106$	−6.21583	−	10.7661i	−0.603734	−	1.04570i
$107$	7.96848	−	2.13515i	0.770342	−	0.206412i	0.147819	−	0.989014i	$-0.452775\pi$
$107$	7.96848	−	2.13515i	0.770342	−	0.206412i	0.622522	+	0.782602i	$0.286108\pi$
$108$	5.04300	+	1.25227i	0.485263	+	0.120500i
$109$	2.21689	+	2.64199i	0.212340	+	0.253057i	0.861693	−	0.507431i	$-0.169405\pi$
$109$	2.21689	+	2.64199i	0.212340	+	0.253057i	−0.649353	+	0.760487i	$0.724960\pi$
$110$	−2.18288	−	9.52969i	−0.208130	−	0.908620i
$111$	−3.19946	+	1.40346i	−0.303680	+	0.133210i
$112$	1.88874	−	0.880732i	0.178469	−	0.0832214i
$113$	−5.09234	+	5.09234i	−0.479047	+	0.479047i	−0.904827	−	0.425780i	$-0.860000\pi$
$113$	−5.09234	+	5.09234i	−0.479047	+	0.479047i	0.425780	+	0.904827i	$0.360000\pi$
$114$	4.62587	−	5.96668i	0.433253	−	0.558831i
$115$	−10.3339	−	7.81499i	−0.963641	−	0.728752i
$116$	−1.15022	+	3.16019i	−0.106795	+	0.293416i
$117$	11.7123	+	1.56907i	1.08280	+	0.145060i
$118$	0.424496	+	4.85202i	0.0390781	+	0.446664i
$119$	−9.47727	+	7.95238i	−0.868780	+	0.728993i
$120$	0.777877	+	3.79406i	0.0710101	+	0.346349i
$121$	4.05799	−	7.02865i	0.368909	−	0.638968i
$122$	2.05300	−	7.66191i	0.185870	−	0.693677i
$123$	4.15146	+	0.830688i	0.374325	+	0.0749006i
$124$	1.83179	+	5.03279i	0.164499	+	0.451958i
$125$	6.61812	−	9.01113i	0.591943	−	0.805980i
$126$	6.24538	+	0.286916i	0.556383	+	0.0255605i
$127$	10.6842	+	15.2586i	0.948065	+	1.35398i	0.935223	+	0.354060i	$0.115199\pi$
$127$	10.6842	+	15.2586i	0.948065	+	1.35398i	0.0128425	+	0.999918i	$0.495912\pi$
$128$	0.0871557	−	0.996195i	0.00770355	−	0.0880520i
$129$	−3.71158	−	1.83560i	−0.326786	−	0.161616i
$130$	2.70738	+	8.38138i	0.237453	+	0.735096i
$131$	−1.54823	+	4.25374i	−0.135270	+	0.371651i	−0.988771	−	0.149440i	$-0.952253\pi$
$131$	−1.54823	+	4.25374i	−0.135270	+	0.371651i	0.853501	+	0.521092i	$0.174475\pi$
$132$	−3.93595	+	6.46964i	−0.342581	+	0.563110i
$133$	4.04906	−	8.13157i	0.351098	−	0.705097i
$134$	15.3393			1.32511
$135$	−3.21116	+	11.1664i	−0.276373	+	0.961050i
$136$	1.03087	+	5.84635i	0.0883964	+	0.501321i
$137$	−0.593667	−	6.78565i	−0.0507204	−	0.579737i	−0.978450	−	0.206484i	$-0.933798\pi$
$137$	−0.593667	−	6.78565i	−0.0507204	−	0.579737i	0.927730	−	0.373253i	$-0.121758\pi$
$138$	1.51540	+	9.92077i	0.129000	+	0.844512i
$139$	−3.07399	−	0.542027i	−0.260732	−	0.0459741i	0.0417539	−	0.999128i	$-0.486705\pi$
$139$	−3.07399	−	0.542027i	−0.260732	−	0.0459741i	−0.302486	+	0.953154i	$0.597817\pi$
$140$	1.81342	+	4.29262i	0.153262	+	0.362793i
$141$	−3.76486	−	3.94179i	−0.317058	−	0.331958i
$142$	5.08976	−	10.9150i	0.427123	−	0.915969i
$143$	−7.27829	+	15.6084i	−0.608641	+	1.30524i
$144$	1.61765	−	2.52650i	0.134804	−	0.210542i
$145$	−6.96749	−	2.82897i	−0.578619	−	0.234933i
$146$	−4.96335	−	0.875173i	−0.410770	−	0.0724298i
$147$	−4.54926	+	0.694902i	−0.375217	+	0.0573146i
$148$	0.175803	+	2.00944i	0.0144509	+	0.165175i
$149$	1.37537	+	7.80014i	0.112675	+	0.639012i	0.987875	+	0.155251i	$0.0496186\pi$
$149$	1.37537	+	7.80014i	0.112675	+	0.639012i	−0.875200	+	0.483761i	$0.839270\pi$
$150$	−8.54178	+	1.42759i	−0.697433	+	0.116562i
$151$	−10.9477			−0.890911			−0.445455	−	0.895304i	$-0.646958\pi$
$151$	−10.9477			−0.890911			−0.445455	+	0.895304i	$0.646958\pi$
$152$	−2.40770	−	3.63359i	−0.195290	−	0.294723i
$153$	−5.39409	+	16.9731i	−0.436086	+	1.37220i
$154$	−3.11635	+	8.56209i	−0.251122	+	0.689953i
$155$	−11.3961	+	3.68120i	−0.915356	+	0.295681i
$156$	3.02447	−	6.11548i	0.242152	−	0.489630i
$157$	−2.14120	+	24.4740i	−0.170886	+	1.95324i	0.111069	+	0.993813i	$0.464572\pi$
$157$	−2.14120	+	24.4740i	−0.170886	+	1.95324i	−0.281956	+	0.959427i	$0.590983\pi$
$158$	1.39341	+	1.99000i	0.110854	+	0.158316i
$159$	−20.6652	−	6.04886i	−1.63885	−	0.479706i
$160$	2.21893	+	0.276317i	0.175422	+	0.0218447i
$161$	4.12991	+	11.3468i	0.325482	+	0.894256i
$162$	7.81462	−	4.46449i	0.613975	−	0.350763i
$163$	−0.417646	+	1.55868i	−0.0327126	+	0.122085i	−0.980351	−	0.197259i	$-0.936796\pi$
$163$	−0.417646	+	1.55868i	−0.0327126	+	0.122085i	0.947639	+	0.319344i	$0.103463\pi$
$164$	1.22218	−	2.11688i	0.0954363	−	0.165300i
$165$	−14.1346	−	9.32484i	−1.10038	−	0.725938i
$166$	1.83991	−	1.54387i	0.142805	−	0.119828i
$167$	−1.64146	−	18.7620i	−0.127020	−	1.45185i	−0.745741	−	0.666236i	$-0.767904\pi$
$167$	−1.64146	−	18.7620i	−0.127020	−	1.45185i	0.618721	−	0.785611i	$-0.287651\pi$
$168$	1.31207	−	3.36266i	0.101229	−	0.259435i
$169$	0.860352	−	2.36380i	0.0661809	−	0.181831i
$170$	−13.1485	+	1.82489i	−1.00844	+	0.139963i
$171$	−1.34396	−	13.0075i	−0.102775	−	0.994705i
$172$	−1.69043	+	1.69043i	−0.128894	+	0.128894i
$173$	14.6798	−	6.84532i	1.11609	−	0.520440i	0.225039	−	0.974350i	$-0.427749\pi$
$173$	14.6798	−	6.84532i	1.11609	−	0.520440i	0.891048	+	0.453910i	$0.149971\pi$
$174$	2.33989	+	5.33426i	0.177387	+	0.404389i
$175$	−9.74062	+	3.70077i	−0.736322	+	0.279752i
$176$	2.81039	+	3.34929i	0.211841	+	0.252462i
$177$	6.33622	+	5.56948i	0.476259	+	0.418628i
$178$	6.52189	−	1.74753i	0.488836	−	0.130983i
$179$	9.64388	+	16.7037i	0.720818	+	1.24849i	0.960672	+	0.277684i	$0.0895668\pi$
$179$	9.64388	+	16.7037i	0.720818	+	1.24849i	−0.239855	+	0.970809i	$0.577100\pi$
$180$	5.51320	+	3.82160i	0.410929	+	0.284845i
$181$	12.9197	−	4.70237i	0.960311	−	0.349524i	0.186155	−	0.982520i	$-0.440397\pi$
$181$	12.9197	−	4.70237i	0.960311	−	0.349524i	0.774155	+	0.632996i	$0.218175\pi$
$182$	2.12459	−	7.92907i	0.157485	−	0.587742i
$183$	−6.59458	−	12.0528i	−0.487485	−	0.890971i
$184$	5.70617	+	1.00615i	0.420664	+	0.0741745i
$185$	−4.50462	+	0.228326i	−0.331187	+	0.0167869i
$186$	8.31516	+	4.11235i	0.609697	+	0.301532i
$187$	−21.2616	−	14.8876i	−1.55480	−	1.08869i
$188$	−2.85220	+	1.33000i	−0.208018	+	0.0970004i
$189$	8.16579	−	7.11206i	0.593974	−	0.517326i
$190$	8.31664	−	5.08267i	0.603352	−	0.368736i
$191$		−	19.3179i		−	1.39779i	−0.715222	−	0.698897i	$-0.753675\pi$
$191$		−	19.3179i		−	1.39779i	0.715222	−	0.698897i	$-0.246325\pi$
$192$	−1.08259	−	1.35203i	−0.0781295	−	0.0975745i
$193$	13.8374	−	19.7619i	0.996041	−	1.42249i	0.0916482	−	0.995791i	$-0.470786\pi$
$193$	13.8374	−	19.7619i	0.996041	−	1.42249i	0.904392	−	0.426702i	$-0.140325\pi$
$194$	−8.71340	−	7.31141i	−0.625586	−	0.524929i
$195$	13.4178	+	7.25908i	0.960871	+	0.519834i
$196$	−0.461380	+	2.61662i	−0.0329557	+	0.186901i
$197$	−26.3154	+	7.05119i	−1.87489	+	0.502376i	−0.875063	+	0.484010i	$0.839180\pi$
$197$	−26.3154	+	7.05119i	−1.87489	+	0.502376i	−0.999831	+	0.0183667i	$0.994153\pi$
$198$	2.80980	+	12.8121i	0.199684	+	0.910514i
$199$	3.20138	+	8.79572i	0.226940	+	0.623512i	0.999941	−	0.0108930i	$-0.00346741\pi$
$199$	3.20138	+	8.79572i	0.226940	+	0.623512i	−0.773001	+	0.634405i	$0.781245\pi$
$200$	−0.799118	+	4.93573i	−0.0565062	+	0.349009i
$201$	19.2130	−	18.3506i	1.35518	−	1.29435i
$202$	2.34584	+	8.75480i	0.165053	+	0.615986i
$203$	4.01990	+	5.74101i	0.282141	+	0.402940i
$204$	8.28526	+	6.08951i	0.580084	+	0.426351i
$205$	4.63025	+	2.90436i	0.323390	+	0.202849i
$206$	−1.62280	+	0.286143i	−0.113066	+	0.0199365i
$207$	13.7664	+	10.6132i	0.956832	+	0.737668i
$208$	−2.78527	−	2.78527i	−0.193124	−	0.193124i
$209$	18.6773	+	3.78997i	1.29193	+	0.262158i
$210$	7.40668	+	3.20723i	0.511110	+	0.221320i
$211$	−6.26865	−	2.28160i	−0.431551	−	0.157072i	0.117105	−	0.993119i	$-0.462638\pi$
$211$	−6.26865	−	2.28160i	−0.431551	−	0.157072i	−0.548657	+	0.836048i	$0.684861\pi$
$212$	−7.13050	+	10.1834i	−0.489725	+	0.699400i
$213$	−6.68268	−	19.7604i	−0.457890	−	1.35396i
$214$	−5.30272	−	6.31954i	−0.362487	−	0.431995i
$215$	−3.63897	−	3.91577i	−0.248176	−	0.267053i
$216$	−0.996322	−	5.09974i	−0.0677911	−	0.346993i
$217$	10.7811	+	2.88878i	0.731868	+	0.196103i
$218$	1.45756	−	3.12574i	0.0987181	−	0.211702i
$219$	−7.26374	+	4.84153i	−0.490838	+	0.327161i
$220$	−7.71431	+	6.00578i	−0.520098	+	0.404910i
$221$	20.2510	+	11.6919i	1.36223	+	0.786485i
$222$	2.62412	+	2.30657i	0.176119	+	0.154807i
$223$	−13.1467	−	1.15019i	−0.880369	−	0.0770223i	−0.361999	−	0.932179i	$-0.617906\pi$
$223$	−13.1467	−	1.15019i	−0.880369	−	0.0770223i	−0.518370	+	0.855156i	$0.673461\pi$
$224$	−1.59643	−	1.33956i	−0.106666	−	0.0895033i
$225$	−8.99101	+	12.0067i	−0.599401	+	0.800449i
$226$	6.76734	+	2.46311i	0.450157	+	0.163844i
$227$	8.40098	+	8.40098i	0.557592	+	0.557592i	0.928621	−	0.371029i	$-0.120995\pi$
$227$	8.40098	+	8.40098i	0.557592	+	0.557592i	−0.371029	+	0.928621i	$0.620995\pi$
$228$	−7.36263	−	1.67084i	−0.487602	−	0.110654i
$229$		−	20.3505i		−	1.34480i	−0.740187	−	0.672401i	$-0.765263\pi$
$229$		−	20.3505i		−	1.34480i	0.740187	−	0.672401i	$-0.234737\pi$
$230$	−2.71549	+	12.6684i	−0.179054	+	0.835333i
$231$	6.33961	+	14.4524i	0.417115	+	0.950900i
$232$	3.35021	−	0.293105i	0.219952	−	0.0192433i
$233$	2.62783	−	30.0362i	0.172155	−	1.96774i	−0.0701418	−	0.997537i	$-0.522345\pi$
$233$	2.62783	−	30.0362i	0.172155	−	1.96774i	0.242297	−	0.970202i	$-0.422099\pi$
$234$	−3.52777	−	11.2780i	−0.230617	−	0.737269i
$235$	−2.73846	−	6.48232i	−0.178638	−	0.422860i
$236$	4.21802	−	2.43528i	0.274570	−	0.158523i
$237$	4.12596	+	0.825585i	0.268010	+	0.0536275i
$238$	11.2126	+	5.22851i	0.726803	+	0.338914i
$239$	−2.73489	−	4.73697i	−0.176905	−	0.306409i	0.763914	−	0.645318i	$-0.223275\pi$
$239$	−2.73489	−	4.73697i	−0.176905	−	0.306409i	−0.940819	+	0.338910i	$0.889942\pi$
$240$	3.10984	−	2.30844i	0.200739	−	0.149009i
$241$	0.912029	−	5.17237i	0.0587489	−	0.333182i	−0.941241	−	0.337737i	$-0.890339\pi$
$241$	0.912029	−	5.17237i	0.0587489	−	0.333182i	0.999990	+	0.00455478i	$0.00144984\pi$
$242$	−8.08511	−	0.707355i	−0.519730	−	0.0454705i
$243$	4.44715	−	14.9406i	0.285285	−	0.958443i
$244$	−7.81169	+	1.37741i	−0.500092	+	0.0881797i
$245$	−5.80924	−	1.24522i	−0.371139	−	0.0795539i
$246$	−1.00163	−	4.11357i	−0.0638613	−	0.262272i
$247$	−17.0602	−	1.93492i	−1.08551	−	0.123116i
$248$	3.78711	−	3.78711i	0.240482	−	0.240482i
$249$	0.457601	−	4.13486i	0.0289993	−	0.262036i
$250$	−10.9638	−	2.18979i	−0.693411	−	0.138494i
$251$	16.9309	−	20.1775i	1.06867	−	1.27359i	0.108525	−	0.994094i	$-0.465387\pi$
$251$	16.9309	−	20.1775i	1.06867	−	1.27359i	0.960146	−	0.279499i	$-0.0901682\pi$
$252$	−2.37938	−	5.78150i	−0.149887	−	0.364200i
$253$	−20.7518	+	14.5306i	−1.30466	+	0.913529i
$254$	9.31363	−	16.1317i	0.584389	−	1.01219i
$255$	−14.2858	+	18.0154i	−0.894609	+	1.12817i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	15.4117	+	7.18658i	0.961354	+	0.448287i	0.838959	−	0.544195i	$-0.183165\pi$
$257$	15.4117	+	7.18658i	0.961354	+	0.448287i	0.122395	+	0.992481i	$0.460943\pi$
$258$	−0.0950373	+	4.13959i	−0.00591677	+	0.257720i
$259$	3.64047	+	2.10182i	0.226208	+	0.130601i
$260$	6.45192	−	5.99585i	0.400131	−	0.371847i
$261$	9.31223	+	3.88210i	0.576413	+	0.240296i
$262$	4.50951	−	0.394531i	0.278598	−	0.0243742i
$263$	−17.3143	−	12.1236i	−1.06764	−	0.747572i	−0.0987654	−	0.995111i	$-0.531489\pi$
$263$	−17.3143	−	12.1236i	−1.06764	−	0.747572i	−0.968878	+	0.247539i	$0.920378\pi$
$264$	7.52689	+	0.832994i	0.463248	+	0.0512673i
$265$	−22.1717	−	16.7673i	−1.36200	−	1.03001i
$266$	−9.08091	−	0.233140i	−0.556786	−	0.0142947i
$267$	6.07828	−	9.99105i	0.371985	−	0.611443i
$268$	−6.48266	−	13.9021i	−0.395992	−	0.849207i
$269$	−1.52614	−	8.65518i	−0.0930505	−	0.527716i	−0.995327	−	0.0965584i	$-0.969217\pi$
$269$	−1.52614	−	8.65518i	−0.0930505	−	0.527716i	0.902277	−	0.431157i	$-0.141895\pi$
$270$	11.4773	−	1.80882i	0.698486	−	0.110081i
$271$	−14.7524	+	12.3787i	−0.896143	+	0.751953i	−0.969433	−	0.245358i	$-0.921095\pi$
$271$	−14.7524	+	12.3787i	−0.896143	+	0.751953i	0.0732900	+	0.997311i	$0.476650\pi$
$272$	4.86293	−	3.40506i	0.294859	−	0.206462i
$273$	−6.82453	−	12.4731i	−0.413039	−	0.754906i
$274$	−5.89899	+	3.40578i	−0.356371	+	0.205751i
$275$	−12.7887	−	17.7299i	−0.771190	−	1.06915i
$276$	8.35083	−	5.56612i	0.502661	−	0.335041i
$277$	3.73317	+	1.00030i	0.224305	+	0.0601023i	0.369221	−	0.929342i	$-0.379625\pi$
$277$	3.73317	+	1.00030i	0.224305	+	0.0601023i	−0.144916	+	0.989444i	$0.546291\pi$
$278$	0.807880	+	3.01505i	0.0484534	+	0.180831i
$279$	15.3347	−	4.79667i	0.918062	−	0.287169i
$280$	3.12405	−	3.45766i	0.186698	−	0.206635i
$281$	−9.39123	+	11.1920i	−0.560234	+	0.667660i	−0.969596	−	0.244711i	$-0.921307\pi$
$281$	−9.39123	+	11.1920i	−0.560234	+	0.667660i	0.409362	+	0.912372i	$0.365751\pi$
$282$	−1.98137	+	5.07799i	−0.117989	+	0.302390i
$283$	10.9391	+	23.4589i	0.650259	+	1.39449i	0.904134	+	0.427248i	$0.140517\pi$
$283$	10.9391	+	23.4589i	0.650259	+	1.39449i	−0.253875	+	0.967237i	$0.581705\pi$
$284$	−12.0434			−0.714644
$285$	4.33639	−	16.3155i	0.256866	−	0.966447i
$286$	17.2219			1.01835
$287$	−2.15283	−	4.61675i	−0.127077	−	0.272518i
$288$	−2.97344	−	0.398344i	−0.175211	−	0.0234727i
$289$	−11.7261	+	13.9746i	−0.689770	+	0.822035i
$290$	0.380673	+	7.51027i	0.0223539	+	0.441018i
$291$	−19.6605	+	1.26616i	−1.15252	+	0.0742237i
$292$	1.30443	+	4.86819i	0.0763358	+	0.284889i
$293$	−3.02054	−	0.809352i	−0.176462	−	0.0472828i	0.169506	−	0.985529i	$-0.445783\pi$
$293$	−3.02054	−	0.809352i	−0.176462	−	0.0472828i	−0.345968	+	0.938246i	$0.612449\pi$
$294$	2.55240	+	3.82935i	0.148859	+	0.223332i
$295$	5.09645	+	9.62484i	0.296727	+	0.560380i
$296$	1.74687	−	1.00856i	0.101535	−	0.0586212i
$297$	18.8466	+	12.6861i	1.09359	+	0.736124i
$298$	6.48807	−	4.54299i	0.375844	−	0.263169i
$299$	17.4836	−	14.6705i	1.01110	−	0.848414i
$300$	4.90375	+	7.13816i	0.283118	+	0.412122i
$301$	0.865122	+	4.90635i	0.0498648	+	0.282797i
$302$	4.62670	+	9.92198i	0.266236	+	0.570946i
$303$	13.4117	+	8.15932i	0.770483	+	0.468741i
$304$	−2.27562	+	3.71774i	−0.130515	+	0.213227i
$305$	−2.43836	−	17.5685i	−0.139620	−	1.00597i
$306$	17.6625	−	2.28445i	1.00970	−	0.130593i
$307$	−6.84030	−	4.78963i	−0.390397	−	0.273359i	0.361855	−	0.932234i	$-0.382143\pi$
$307$	−6.84030	−	4.78963i	−0.390397	−	0.273359i	−0.752252	+	0.658876i	$0.771032\pi$
$308$	9.07692	−	0.794127i	0.517205	−	0.0452496i
$309$	−1.69029	+	2.29977i	−0.0961572	+	0.130829i
$310$	8.15250	+	8.77262i	0.463031	+	0.498251i
$311$	12.1464	+	7.01276i	0.688762	+	0.397657i	0.803148	−	0.595780i	$-0.203157\pi$
$311$	12.1464	+	7.01276i	0.688762	+	0.397657i	−0.114386	+	0.993436i	$0.536490\pi$
$312$	−6.82070	−	0.156591i	−0.386146	−	0.00886520i
$313$	−24.9350	−	11.6274i	−1.40941	−	0.657218i	−0.438955	−	0.898509i	$-0.644651\pi$
$313$	−24.9350	−	11.6274i	−1.40941	−	0.657218i	−0.970453	+	0.241291i	$0.922429\pi$
$314$	23.0859	−	8.40258i	1.30281	−	0.474185i
$315$	13.1140	−	4.84354i	0.738888	−	0.272903i
$316$	1.21467	−	2.10387i	0.0683307	−	0.118352i
$317$	−17.3851	+	12.1732i	−0.976447	+	0.683715i	−0.948792	−	0.315902i	$-0.897693\pi$
$317$	−17.3851	+	12.1732i	−0.976447	+	0.683715i	−0.0276549	+	0.999618i	$0.508804\pi$
$318$	3.25135	+	21.2854i	0.182327	+	1.19362i
$319$	−9.45134	+	11.2637i	−0.529174	+	0.630645i
$320$	−0.687332	−	2.12781i	−0.0384230	−	0.118948i
$321$	−14.2020	−	1.57172i	−0.792677	−	0.0877248i
$322$	8.53835	−	8.53835i	0.475824	−	0.475824i
$323$	7.33670	−	24.8149i	0.408225	−	1.38074i
$324$	−7.34880	−	5.19568i	−0.408267	−	0.288649i
$325$	12.8699	+	14.9082i	0.713893	+	0.826956i
$326$	1.58915	−	0.280209i	0.0880146	−	0.0155193i
$327$	−1.91372	−	5.65878i	−0.105829	−	0.312931i
$328$	−2.43506	−	0.213040i	−0.134454	−	0.0117632i
$329$	−1.13886	+	6.45879i	−0.0627873	+	0.356085i
$330$	−2.47763	+	16.7512i	−0.136389	+	0.922121i
$331$	−11.0257	−	19.0971i	−0.606029	−	1.04967i	−0.991888	−	0.127115i	$-0.959428\pi$
$331$	−11.0257	−	19.0971i	−0.606029	−	1.04967i	0.385859	−	0.922558i	$-0.373905\pi$
$332$	−2.17680	−	1.01506i	−0.119468	−	0.0557087i
$333$	6.04617	−	0.250202i	0.331328	−	0.0137110i
$334$	−16.3104	+	9.41683i	−0.892467	+	0.515266i
$335$	31.5960	−	13.3478i	1.72627	−	0.729266i
$336$	−3.60212	+	0.231980i	−0.196512	+	0.0126556i
$337$	1.75008	−	20.0035i	0.0953327	−	1.08966i	−0.786339	−	0.617795i	$-0.788026\pi$
$337$	1.75008	−	20.0035i	0.0953327	−	1.08966i	0.881672	−	0.471863i	$-0.156418\pi$
$338$	−2.50593	+	0.219240i	−0.136305	+	0.0119251i
$339$	11.4230	−	5.01072i	0.620410	−	0.272145i
$340$	7.21070	+	11.1453i	0.391055	+	0.604441i
$341$			23.4165i			1.26807i
$342$	−11.2208	+	6.71522i	−0.606750	+	0.363118i
$343$	14.2306	+	14.2306i	0.768378	+	0.768378i
$344$	2.24645	+	0.817641i	0.121121	+	0.0440843i
$345$	11.7542	+	19.1162i	0.632823	+	1.02918i
$346$	−12.4079	−	10.4115i	−0.667055	−	0.559725i
$347$	24.9898	+	2.18633i	1.34152	+	0.117368i	0.735201	−	0.677849i	$-0.237088\pi$
$347$	24.9898	+	2.18633i	1.34152	+	0.117368i	0.606324	+	0.795218i	$0.292643\pi$
$348$	3.84560	−	4.37502i	0.206146	−	0.234526i
$349$	17.3782	+	10.0333i	0.930233	+	0.537070i	0.886885	−	0.461990i	$-0.152864\pi$
$349$	17.3782	+	10.0333i	0.930233	+	0.537070i	0.0433476	+	0.999060i	$0.486198\pi$
$350$	7.47060	+	7.26399i	0.399320	+	0.388277i
$351$	−17.9107	−	9.90582i	−0.956003	−	0.528733i
$352$	1.84776	−	3.96254i	0.0984862	−	0.211204i
$353$	27.5514	+	7.38238i	1.46641	+	0.392924i	0.901700	−	0.432362i	$-0.142320\pi$
$353$	27.5514	+	7.38238i	1.46641	+	0.392924i	0.564714	+	0.825287i	$0.308987\pi$
$354$	2.36986	−	8.09633i	0.125957	−	0.430315i
$355$	0.986026	−	26.9118i	0.0523328	−	1.42833i
$356$	−4.34007	−	5.17230i	−0.230023	−	0.274131i
$357$	20.2990	−	6.86485i	1.07434	−	0.363326i
$358$	11.0630	−	15.7996i	0.584698	−	0.835035i
$359$	21.9667	+	7.99521i	1.15936	+	0.421971i	0.848867	−	0.528606i	$-0.177285\pi$
$359$	21.9667	+	7.99521i	1.15936	+	0.421971i	0.310489	+	0.950577i	$0.399507\pi$
$360$	1.13357	−	6.61173i	0.0597444	−	0.348469i
$361$	2.33483	+	18.8560i	0.122886	+	0.992421i
$362$	−9.72188	−	9.72188i	−0.510971	−	0.510971i
$363$	−10.9731	+	8.78632i	−0.575937	+	0.461162i
$364$	−8.08407	+	1.42544i	−0.423720	+	0.0747133i
$365$	−10.9851	+	2.51626i	−0.574986	+	0.131707i
$366$	−8.13658	+	11.0705i	−0.425306	+	0.578662i
$367$	−14.2088	−	20.2922i	−0.741691	−	1.05924i	−0.995754	−	0.0920567i	$-0.970656\pi$
$367$	−14.2088	−	20.2922i	−0.741691	−	1.05924i	0.254063	−	0.967188i	$-0.418233\pi$
$368$	−1.49965	−	5.59676i	−0.0781746	−	0.291751i
$369$	−6.17568	−	3.95412i	−0.321493	−	0.205843i
$370$	2.11067	+	3.98608i	0.109729	+	0.207226i
$371$	8.86087	+	24.3450i	0.460033	+	1.26393i
$372$	0.212915	−	9.27404i	0.0110391	−	0.480837i
$373$	−4.70106	+	1.25964i	−0.243411	+	0.0652219i	−0.378462	−	0.925617i	$-0.623547\pi$
$373$	−4.70106	+	1.25964i	−0.243411	+	0.0652219i	0.135051	+	0.990839i	$0.456880\pi$
$374$	−4.50715	+	25.5613i	−0.233059	+	1.32175i
$375$	−16.3522	+	10.3733i	−0.844423	+	0.535677i
$376$	2.41078	+	2.02289i	0.124327	+	0.104322i
$377$	7.59805	−	10.8511i	0.391319	−	0.558862i
$378$	−9.89672	−	4.39503i	−0.509033	−	0.226056i
$379$			7.91114i			0.406368i	0.979141	+	0.203184i	$0.0651289\pi$
$379$			7.91114i			0.406368i	−0.979141	+	0.203184i	$0.934871\pi$
$380$	−8.12123	−	5.38940i	−0.416610	−	0.276470i
$381$	−7.63289	−	31.3474i	−0.391045	−	1.60598i
$382$	−17.5080	+	8.16409i	−0.895785	+	0.417711i
$383$	−17.9083	−	12.5395i	−0.915070	−	0.640739i	0.0182314	−	0.999834i	$-0.494196\pi$
$383$	−17.9083	−	12.5395i	−0.915070	−	0.640739i	−0.933301	+	0.359095i	$0.883085\pi$
$384$	−0.767833	+	1.55256i	−0.0391833	+	0.0792286i
$385$	1.03138	+	20.3480i	0.0525640	+	1.03703i
$386$	−23.7583	−	4.18923i	−1.20927	−	0.213226i
$387$	4.83320	+	5.29867i	0.245686	+	0.269346i
$388$	−2.94395	+	10.9870i	−0.149456	+	0.557778i
$389$	−23.1846	+	8.43852i	−1.17551	+	0.427850i	−0.854613	−	0.519265i	$-0.826206\pi$
$389$	−23.1846	+	8.43852i	−1.17551	+	0.427850i	−0.320895	+	0.947115i	$0.603984\pi$
$390$	0.908342	−	15.2285i	0.0459957	−	0.771125i
$391$	17.1987	+	29.7891i	0.869778	+	1.50650i
$392$	2.56645	−	0.687678i	0.129625	−	0.0347330i
$393$	5.17633	−	5.88894i	0.261111	−	0.297058i
$394$	17.5119	+	20.8699i	0.882237	+	1.05141i
$395$	4.60180	+	2.88652i	0.231542	+	0.145237i
$396$	10.4242	−	7.96116i	0.523836	−	0.400063i
$397$	−14.9012	+	6.94854i	−0.747869	+	0.348737i	−0.758905	−	0.651202i	$-0.774265\pi$
$397$	−14.9012	+	6.94854i	−0.747869	+	0.348737i	0.0110351	+	0.999939i	$0.496487\pi$
$398$	6.61867	−	6.61867i	0.331764	−	0.331764i
$399$	−11.6530	+	10.5716i	−0.583382	+	0.529241i
$400$	4.81101	−	1.36168i	0.240551	−	0.0680841i
$401$	−7.19507	+	19.7683i	−0.359305	+	0.987181i	0.619967	+	0.784628i	$0.287146\pi$
$401$	−7.19507	+	19.7683i	−0.359305	+	0.987181i	−0.979271	+	0.202553i	$0.935076\pi$
$402$	−24.7510	−	9.65757i	−1.23447	−	0.481676i
$403$	−1.83866	−	21.0160i	−0.0915903	−	1.04688i
$404$	6.94315	−	5.82600i	0.345435	−	0.289854i
$405$	12.2118	−	15.9960i	0.606808	−	0.794849i
$406$	3.50424	−	6.06952i	0.173912	−	0.301225i
$407$	−2.28258	+	8.51869i	−0.113143	+	0.422256i
$408$	2.01747	−	10.0825i	0.0998794	−	0.499160i
$409$	−4.92365	−	13.5276i	−0.243459	−	0.668897i	−0.999890	−	0.0148241i	$-0.995281\pi$
$409$	−4.92365	−	13.5276i	−0.243459	−	0.668897i	0.756432	−	0.654073i	$-0.226941\pi$
$410$	0.675418	−	5.42386i	0.0333565	−	0.267866i
$411$	−3.31430	+	11.3229i	−0.163482	+	0.558517i
$412$	0.945156	+	1.34982i	0.0465645	+	0.0665010i
$413$	0.884647	−	10.1116i	0.0435306	−	0.497557i
$414$	3.80088	−	16.9619i	0.186803	−	0.833634i
$415$	2.44644	−	4.78111i	0.120091	−	0.234696i
$416$	−1.34721	+	3.70142i	−0.0660523	+	0.181477i
$417$	4.61883	+	2.80997i	0.226185	+	0.137605i
$418$	−4.45847	−	18.5291i	−0.218071	−	0.906286i
$419$	−23.3446			−1.14046			−0.570229	−	0.821486i	$-0.693146\pi$
$419$	−23.3446			−1.14046			−0.570229	+	0.821486i	$0.693146\pi$
$420$	−0.223461	−	8.06817i	−0.0109038	−	0.393686i
$421$	−4.62403	−	26.2242i	−0.225361	−	1.27809i	−0.861993	−	0.506920i	$-0.830784\pi$
$421$	−4.62403	−	26.2242i	−0.225361	−	1.27809i	0.636632	−	0.771168i	$-0.280327\pi$
$422$	0.581412	+	6.64557i	0.0283027	+	0.323501i
$423$	3.59312	+	8.73069i	0.174704	+	0.424501i
$424$	12.2428	+	2.15873i	0.594562	+	0.104837i
$425$	−25.4954	+	15.2003i	−1.23671	+	0.737323i
$426$	−15.0848	+	14.4077i	−0.730859	+	0.698053i
$427$	−6.98614	+	14.9818i	−0.338083	+	0.725022i
$428$	−3.48642	+	7.47665i	−0.168522	+	0.361398i
$429$	21.5710	−	20.6028i	1.04146	−	0.994711i
$430$	−2.01100	+	4.95291i	−0.0969790	+	0.238850i
$431$	13.3557	+	2.35496i	0.643319	+	0.113435i	0.485784	−	0.874079i	$-0.338534\pi$
$431$	13.3557	+	2.35496i	0.643319	+	0.113435i	0.157535	+	0.987513i	$0.449645\pi$
$432$	−4.20087	+	3.05822i	−0.202114	+	0.147139i
$433$	2.76808	+	31.6393i	0.133025	+	1.52049i	0.710278	+	0.703921i	$0.248569\pi$
$433$	2.76808	+	31.6393i	0.133025	+	1.52049i	−0.577253	+	0.816566i	$0.695875\pi$
$434$	−1.93816	−	10.9918i	−0.0930345	−	0.527625i
$435$	9.46143	+	8.95145i	0.453641	+	0.429189i
$436$	−3.44887			−0.165171
$437$	−20.3101	−	15.0126i	−0.971566	−	0.718152i
$438$	7.45771	+	4.53706i	0.356343	+	0.216789i
$439$	6.39402	−	17.5674i	0.305170	−	0.838448i	−0.688411	−	0.725321i	$-0.741691\pi$
$439$	6.39402	−	17.5674i	0.305170	−	0.838448i	0.993581	−	0.113127i	$-0.0360866\pi$
$440$	8.70330	+	4.45338i	0.414913	+	0.212307i
$441$	7.77806	+	1.74293i	0.370384	+	0.0829966i
$442$	2.03804	−	23.2949i	0.0969396	−	1.10803i
$443$	15.9453	+	22.7723i	0.757586	+	1.08194i	0.993902	+	0.110269i	$0.0351711\pi$
$443$	15.9453	+	22.7723i	0.757586	+	1.08194i	−0.236316	+	0.971676i	$0.575940\pi$
$444$	0.981466	−	3.35306i	0.0465783	−	0.159129i
$445$	11.9132	−	9.27472i	0.564739	−	0.439664i
$446$	4.51362	+	12.4011i	0.213726	+	0.587207i
$447$	2.69168	−	13.4520i	0.127312	−	0.636258i
$448$	−0.539376	+	2.01298i	−0.0254831	+	0.0951044i
$449$	−6.85828	+	11.8789i	−0.323662	+	0.560600i	−0.981241	−	0.192787i	$-0.938247\pi$
$449$	−6.85828	+	11.8789i	−0.323662	+	0.560600i	0.657578	+	0.753386i	$0.271581\pi$
$450$	14.6816	+	3.07436i	0.692096	+	0.144927i
$451$	8.18687	−	6.86960i	0.385504	−	0.323477i
$452$	−0.627665	−	7.17425i	−0.0295229	−	0.337448i
$453$	17.6649	+	6.89263i	0.829968	+	0.323844i
$454$	4.06346	−	11.1643i	0.190708	−	0.523965i
$455$	−2.52338	−	18.1811i	−0.118298	−	0.852344i
$456$	1.59729	+	7.37893i	0.0748000	+	0.345550i
$457$	−15.3914	+	15.3914i	−0.719978	+	0.719978i	−0.968600	−	0.248623i	$-0.920022\pi$
$457$	−15.3914	+	15.3914i	−0.719978	+	0.719978i	0.248623	+	0.968600i	$0.420022\pi$
$458$	−18.4438	+	8.60051i	−0.861824	+	0.401875i
$459$	19.3900	−	23.9912i	0.905046	−	1.11981i
$460$	12.6291	−	2.89284i	0.588836	−	0.134880i
$461$	2.69436	+	3.21101i	0.125489	+	0.149552i	0.825130	−	0.564942i	$-0.191102\pi$
$461$	2.69436	+	3.21101i	0.125489	+	0.149552i	−0.699642	+	0.714494i	$0.746657\pi$
$462$	10.4191	−	11.8535i	0.484741	−	0.551474i
$463$	−9.59628	+	2.57131i	−0.445977	+	0.119499i	−0.474816	−	0.880085i	$-0.657485\pi$
$463$	−9.59628	+	2.57131i	−0.445977	+	0.119499i	0.0288395	+	0.999584i	$0.490819\pi$
$464$	−1.68150	−	2.91245i	−0.0780618	−	0.135207i
$465$	20.7061	+	1.23506i	0.960220	+	0.0572747i
$466$	−28.3326	+	10.3122i	−1.31248	+	0.477705i
$467$	0.648395	−	2.41984i	0.0300042	−	0.111977i	−0.949300	−	0.314372i	$-0.898206\pi$
$467$	0.648395	−	2.41984i	0.0300042	−	0.111977i	0.979304	+	0.202395i	$0.0648726\pi$
$468$	−8.73048	+	7.96355i	−0.403567	+	0.368115i
$469$	−31.4813	−	5.55100i	−1.45367	−	0.256321i
$470$	−4.71766	+	5.22144i	−0.217609	+	0.240847i
$471$	18.8637	−	38.1425i	0.869196	−	1.75751i
$472$	−3.98972	−	2.79363i	−0.183642	−	0.128587i
$473$	−9.47295	+	4.41731i	−0.435567	+	0.203108i
$474$	−0.995473	−	4.08830i	−0.0457236	−	0.187782i
$475$	12.7079	−	17.7062i	0.583078	−	0.812416i
$476$		−	12.3717i		−	0.567056i
$477$	29.5363	+	22.7710i	1.35238	+	1.04261i
$478$	−3.13734	+	4.48058i	−0.143498	+	0.204937i
$479$	−4.78323	−	4.01360i	−0.218551	−	0.183386i	0.526938	−	0.849903i	$-0.323340\pi$
$479$	−4.78323	−	4.01360i	−0.218551	−	0.183386i	−0.745490	+	0.666517i	$0.767784\pi$
$480$	−3.40643	−	1.84289i	−0.155482	−	0.0841159i
$481$	1.37970	−	7.82465i	0.0629088	−	0.356773i
$482$	−5.07320	+	1.35936i	−0.231078	+	0.0619171i
$483$	0.480034	−	20.9091i	0.0218423	−	0.951396i
$484$	2.77583	+	7.62654i	0.126174	+	0.346661i
$485$	−24.3101	−	7.47798i	−1.10386	−	0.339558i
$486$	−15.4203	+	2.28370i	−0.699478	+	0.103591i
$487$	1.65561	+	6.17883i	0.0750229	+	0.279989i	0.993239	−	0.116092i	$-0.0370366\pi$
$487$	1.65561	+	6.17883i	0.0750229	+	0.279989i	−0.918216	+	0.396081i	$0.870370\pi$
$488$	4.54972	+	6.49767i	0.205956	+	0.294136i
$489$	1.65524	−	2.25208i	0.0748525	−	0.101843i
$490$	1.32654	+	5.79121i	0.0599270	+	0.261620i
$491$	−35.6958	+	6.29414i	−1.61093	+	0.284050i	−0.905378	−	0.424607i	$-0.860412\pi$
$491$	−35.6958	+	6.29414i	−1.61093	+	0.284050i	−0.705552	+	0.708658i	$0.749301\pi$
$492$	−3.30485	+	2.64625i	−0.148994	+	0.119302i
$493$	14.1171	+	14.1171i	0.635803	+	0.635803i
$494$	5.45632	+	16.2795i	0.245492	+	0.732451i
$495$	16.9363	+	23.9454i	0.761230	+	1.07627i
$496$	−5.03279	−	1.83179i	−0.225979	−	0.0822496i
$497$	−14.3958	+	20.5594i	−0.645740	+	0.922213i
$498$	−3.94085	+	1.33274i	−0.176594	+	0.0597215i
$499$	−3.24339	−	3.86532i	−0.145194	−	0.173035i	0.688546	−	0.725193i	$-0.258249\pi$
$499$	−3.24339	−	3.86532i	−0.145194	−	0.173035i	−0.833740	+	0.552157i	$0.813805\pi$
$500$	2.64888	+	10.8620i	0.118462	+	0.485764i
$501$	−9.16388	+	31.3072i	−0.409412	+	1.39870i
$502$	−25.4423	−	6.81726i	−1.13555	−	0.304269i
$503$	2.56918	−	5.50963i	0.114554	−	0.245662i	−0.840668	−	0.541550i	$-0.817838\pi$
$503$	2.56918	−	5.50963i	0.114554	−	0.245662i	0.955223	+	0.295888i	$0.0956154\pi$
$504$	−4.23425	+	4.59982i	−0.188608	+	0.204892i
$505$	12.4501	+	15.9919i	0.554024	+	0.711632i
$506$	21.9393	+	12.6666i	0.975319	+	0.563101i
$507$	−2.87648	+	3.27248i	−0.127749	+	0.145336i
$508$	−18.5564	−	1.62347i	−0.823306	−	0.0720299i
$509$	−14.5783	−	12.2327i	−0.646173	−	0.542203i	0.259734	−	0.965680i	$-0.416365\pi$
$509$	−14.5783	−	12.2327i	−0.646173	−	0.542203i	−0.905907	+	0.423477i	$0.860809\pi$
$510$	22.3649	+	5.33365i	0.990336	+	0.236178i
$511$	9.86973	+	3.59229i	0.436611	+	0.158913i
$512$	0.707107	+	0.707107i	0.0312500	+	0.0312500i
$513$	−6.02088	+	21.8346i	−0.265829	+	0.964020i
$514$		−	17.0049i		−	0.750054i
$515$	−3.09365	+	2.00150i	−0.136323	+	0.0881968i
$516$	3.79191	−	1.66333i	0.166929	−	0.0732242i
$517$	−13.7071	+	1.19922i	−0.602839	+	0.0527416i
$518$	0.366372	−	4.18765i	0.0160975	−	0.183995i
$519$	−27.9967	+	1.80302i	−1.22892	+	0.0791439i
$520$	−8.16078	−	3.31347i	−0.357874	−	0.145305i
$521$	−26.5534	+	15.3306i	−1.16333	+	0.671647i	−0.952099	−	0.305789i	$-0.901080\pi$
$521$	−26.5534	+	15.3306i	−1.16333	+	0.671647i	−0.211228	+	0.977437i	$0.567746\pi$
$522$	−0.417145	−	10.0804i	−0.0182579	−	0.441207i
$523$	12.6413	+	5.89475i	0.552767	+	0.257759i	0.678871	−	0.734258i	$-0.262470\pi$
$523$	12.6413	+	5.89475i	0.552767	+	0.257759i	−0.126104	+	0.992017i	$0.540247\pi$
$524$	−2.26337	−	3.92027i	−0.0988757	−	0.171258i
$525$	18.0472	+	0.161223i	0.787643	+	0.00703636i
$526$	−3.67037	+	20.8157i	−0.160036	+	0.907608i
$527$	31.6738	+	2.77110i	1.37973	+	0.120711i
$528$	−2.42605	−	7.17372i	−0.105580	−	0.312196i
$529$	10.4121	−	1.83593i	0.452699	−	0.0798230i
$530$	−5.82619	+	27.1806i	−0.253073	+	1.18065i
$531$	−6.71741	−	12.9760i	−0.291511	−	0.563111i
$532$	3.62646	+	8.32863i	0.157227	+	0.361092i
$533$	−6.80821	+	6.80821i	−0.294896	+	0.294896i
$534$	−11.6238	−	1.28639i	−0.503009	−	0.0556676i
$535$	−16.4216	−	8.40278i	−0.709970	−	0.363284i
$536$	−9.85990	+	11.7506i	−0.425883	+	0.507548i
$537$	−5.04448	−	33.0243i	−0.217686	−	1.42511i
$538$	−7.19928	+	5.04099i	−0.310383	+	0.217333i
$539$	−5.80841	+	10.0605i	−0.250186	+	0.433335i
$540$	−6.48986	−	9.63752i	−0.279279	−	0.414733i
$541$	−4.90101	+	1.78382i	−0.210711	+	0.0766925i	−0.445219	−	0.895422i	$-0.646874\pi$
$541$	−4.90101	+	1.78382i	−0.210711	+	0.0766925i	0.234508	+	0.972114i	$0.424652\pi$
$542$	17.4535	+	8.13872i	0.749694	+	0.349588i
$543$	−23.8074	−	0.546573i	−1.02167	−	0.0234557i
$544$	−5.14120	−	2.96827i	−0.220427	−	0.127264i
$545$	0.282368	−	7.70674i	0.0120953	−	0.330120i
$546$	−8.42029	+	11.4565i	−0.360355	+	0.490292i
$547$	−9.53609	+	0.834300i	−0.407734	+	0.0356721i	−0.289178	−	0.957275i	$-0.593382\pi$
$547$	−9.53609	+	0.834300i	−0.407734	+	0.0356721i	−0.118556	+	0.992947i	$0.537826\pi$
$548$	5.57971	+	3.90696i	0.238353	+	0.166897i
$549$	3.05240	+	23.6000i	0.130273	+	1.00722i
$550$	−10.6639	+	19.0835i	−0.454712	+	0.813723i
$551$	−13.6417	−	5.36556i	−0.581158	−	0.228581i
$552$	−8.57383	−	5.21608i	−0.364926	−	0.222011i
$553$	−2.13960	−	4.58839i	−0.0909852	−	0.195118i
$554$	−0.671127	−	3.80615i	−0.0285135	−	0.161708i
$555$	7.41228	+	2.46768i	0.314634	+	0.104747i
$556$	2.39114	−	2.00640i	0.101407	−	0.0850904i
$557$	−2.74252	+	1.92033i	−0.116204	+	0.0813672i	−0.630234	−	0.776405i	$-0.717041\pi$
$557$	−2.74252	+	1.92033i	−0.116204	+	0.0813672i	0.514030	+	0.857772i	$0.328152\pi$
$558$	−10.8280	−	11.8708i	−0.458384	−	0.502529i
$559$	8.15501	−	4.70830i	0.344920	−	0.199140i
$560$	−4.45398	−	1.37008i	−0.188215	−	0.0578965i
$561$	24.9340	+	37.4084i	1.05271	+	1.57938i
$562$	14.1123	+	3.78139i	0.595293	+	0.159508i
$563$	6.41133	+	23.9274i	0.270205	+	1.00842i	0.958987	+	0.283451i	$0.0914794\pi$
$563$	6.41133	+	23.9274i	0.270205	+	1.00842i	−0.688781	+	0.724969i	$0.741854\pi$
$564$	5.43959	−	0.350316i	0.229048	−	0.0147510i
$565$	16.0827	−	0.815186i	0.676606	−	0.0342951i
$566$	16.6379	−	19.8283i	0.699344	−	0.833445i
$567$	−17.6538	+	6.33464i	−0.741390	+	0.266030i
$568$	5.08976	+	10.9150i	0.213562	+	0.457984i
$569$	1.81030			0.0758915			0.0379458	−	0.999280i	$-0.487919\pi$
$569$	1.81030			0.0758915			0.0379458	+	0.999280i	$0.487919\pi$
$570$	−16.6195	+	2.96512i	−0.696115	+	0.124195i
$571$	5.11268			0.213959			0.106980	−	0.994261i	$-0.465882\pi$
$571$	5.11268			0.213959			0.106980	+	0.994261i	$0.465882\pi$
$572$	−7.27829	−	15.6084i	−0.304321	−	0.652618i
$573$	−12.1625	+	31.1708i	−0.508095	+	1.30218i
$574$	−3.27438	+	3.90225i	−0.136670	+	0.162877i
$575$	5.43028	+	28.4575i	0.226458	+	1.18676i
$576$	0.895606	+	2.86320i	0.0373169	+	0.119300i
$577$	−5.54401	−	20.6905i	−0.230800	−	0.861358i	−0.979997	−	0.199011i	$-0.936227\pi$
$577$	−5.54401	−	20.6905i	−0.230800	−	0.861358i	0.749197	−	0.662347i	$-0.230440\pi$
$578$	17.6209	+	4.72152i	0.732935	+	0.196389i
$579$	−34.7697	+	23.1752i	−1.44498	+	0.963129i
$580$	6.64574	−	3.51898i	0.275949	−	0.146118i
$581$	−4.33481	+	2.50270i	−0.179838	+	0.103830i
$582$	9.45644	+	17.2834i	0.391982	+	0.716420i
$583$	−44.5238	+	31.1759i	−1.84399	+	1.29117i
$584$	3.86080	−	3.23960i	0.159761	−	0.134056i
$585$	−17.0803	−	20.1609i	−0.706184	−	0.833549i
$586$	0.543014	+	3.07959i	0.0224317	+	0.127217i
$587$	−3.94960	−	8.46995i	−0.163017	−	0.349592i	0.807783	−	0.589480i	$-0.200667\pi$
$587$	−3.94960	−	8.46995i	−0.163017	−	0.349592i	−0.970801	+	0.239888i	$0.922889\pi$
$588$	2.39188	−	3.93161i	0.0986396	−	0.162137i
$589$	−22.1351	+	7.41891i	−0.912062	+	0.305691i
$590$	6.56921	−	8.68658i	0.270450	−	0.357621i
$591$	46.9011	+	5.19051i	1.92925	+	0.213509i
$592$	−1.65232	−	1.15697i	−0.0679101	−	0.0475512i
$593$	15.4860	−	1.35485i	0.635935	−	0.0556371i	0.235370	−	0.971906i	$-0.424370\pi$
$593$	15.4860	−	1.35485i	0.635935	−	0.0556371i	0.400564	+	0.916269i	$0.368814\pi$
$594$	3.53262	−	22.4422i	0.144945	−	0.920815i
$595$	27.6454	+	1.01290i	1.13335	+	0.0415250i
$596$	−6.85933	−	3.96023i	−0.280969	−	0.162218i
$597$	0.372108	−	16.2081i	0.0152294	−	0.663353i
$598$	−20.6848	−	9.64549i	−0.845865	−	0.394433i
$599$	−12.0540	+	4.38730i	−0.492513	+	0.179260i	−0.576324	−	0.817222i	$-0.695513\pi$
$599$	−12.0540	+	4.38730i	−0.492513	+	0.179260i	0.0838105	+	0.996482i	$0.473291\pi$
$600$	4.39695	−	7.46102i	0.179505	−	0.304595i
$601$	−7.99821	+	13.8533i	−0.326254	+	0.565088i	−0.981765	−	0.190097i	$-0.939120\pi$
$601$	−7.99821	+	13.8533i	−0.326254	+	0.565088i	0.655512	+	0.755185i	$0.272453\pi$
$602$	4.08105	−	2.85758i	0.166331	−	0.116466i
$603$	−42.5549	+	17.5135i	−1.73297	+	0.713205i
$604$	7.03704	−	8.38642i	0.286333	−	0.341239i
$605$	−17.2693	+	5.57838i	−0.702096	+	0.226793i
$606$	1.72682	−	15.6034i	0.0701471	−	0.633846i
$607$	27.7267	−	27.7267i	1.12539	−	1.12539i	0.134474	−	0.990917i	$-0.457066\pi$
$607$	27.7267	−	27.7267i	1.12539	−	1.12539i	0.990917	−	0.134474i	$-0.0429345\pi$
$608$	4.33113	+	0.491224i	0.175651	+	0.0199218i
$609$	−2.87186	−	11.7944i	−0.116374	−	0.477934i
$610$	−14.8920	+	9.63468i	−0.602959	+	0.390097i
$611$	12.2078	−	2.15257i	0.493876	−	0.0870836i
$612$	−9.53491	−	15.0422i	−0.385426	−	0.608046i
$613$	19.7818	+	1.73069i	0.798981	+	0.0699018i	0.479331	−	0.877634i	$-0.340879\pi$
$613$	19.7818	+	1.73069i	0.798981	+	0.0699018i	0.319650	+	0.947536i	$0.396435\pi$
$614$	−1.45004	+	8.22360i	−0.0585190	+	0.331878i
$615$	−5.64265	−	7.60158i	−0.227534	−	0.306525i
$616$	−4.55579	−	7.89087i	−0.183558	−	0.317932i
$617$	15.6192	+	7.28337i	0.628807	+	0.293218i	0.710777	−	0.703417i	$-0.248343\pi$
$617$	15.6192	+	7.28337i	0.628807	+	0.293218i	−0.0819700	+	0.996635i	$0.526121\pi$
$618$	2.79865	+	0.559996i	0.112578	+	0.0225263i
$619$	30.8682	−	17.8217i	1.24070	−	0.716316i	0.271460	−	0.962450i	$-0.412493\pi$
$619$	30.8682	−	17.8217i	1.24070	−	0.716316i	0.969236	+	0.246133i	$0.0791602\pi$
$620$	4.50530	−	11.0961i	0.180937	−	0.445632i
$621$	−15.5310	−	25.7924i	−0.623240	−	1.03501i
$622$	1.22240	−	13.9721i	0.0490139	−	0.560232i
$623$	−14.0175	+	1.22637i	−0.561598	+	0.0491334i
$624$	2.74063	+	6.24783i	0.109713	+	0.250114i
$625$	−24.4888	+	5.02980i	−0.979552	+	0.201192i
$626$			27.5127i			1.09963i
$627$	−27.7509	−	17.8745i	−1.10826	−	0.713840i
$628$	−17.3719	−	17.3719i	−0.693213	−	0.693213i
$629$	11.2525	+	4.09559i	0.448668	+	0.163302i
$630$	−9.93194	−	9.83831i	−0.395698	−	0.391968i
$631$	33.1656	+	27.8293i	1.32030	+	1.10786i	0.986241	+	0.165314i	$0.0528636\pi$
$631$	33.1656	+	27.8293i	1.32030	+	1.10786i	0.334061	+	0.942551i	$0.391581\pi$
$632$	−2.42010	−	0.211731i	−0.0962664	−	0.00842222i
$633$	8.67841	+	7.62824i	0.344936	+	0.303195i
$634$	18.3799	+	10.6117i	0.729961	+	0.421443i
$635$	5.14702	−	41.3326i	0.204253	−	1.64023i
$636$	17.9170	−	11.9423i	0.710456	−	0.473543i
$637$	4.42303	−	9.48522i	0.175247	−	0.375818i
$638$	14.2027	+	3.80559i	0.562289	+	0.150665i
$639$	−1.65809	+	36.0921i	−0.0655931	+	1.42778i
$640$	−1.63797	+	1.52219i	−0.0647465	+	0.0601697i
$641$	−6.51298	−	7.76186i	−0.257247	−	0.306575i	0.621928	−	0.783075i	$-0.286350\pi$
$641$	−6.51298	−	7.76186i	−0.257247	−	0.306575i	−0.879175	+	0.476500i	$0.841905\pi$
$642$	4.57755	+	13.5356i	0.180662	+	0.534207i
$643$	−8.92612	+	12.7478i	−0.352012	+	0.502725i	−0.955638	−	0.294542i	$-0.904833\pi$
$643$	−8.92612	+	12.7478i	−0.352012	+	0.502725i	0.603627	+	0.797267i	$0.293722\pi$
$644$	−11.3468	−	4.12991i	−0.447128	−	0.162741i
$645$	3.40638	+	8.60946i	0.134126	+	0.338997i
$646$	−25.5906	+	3.83794i	−1.00685	+	0.151002i
$647$	8.96022	+	8.96022i	0.352263	+	0.352263i	0.860951	−	0.508688i	$-0.169869\pi$
$647$	8.96022	+	8.96022i	0.352263	+	0.352263i	−0.508688	+	0.860951i	$0.669869\pi$
$648$	−1.60315	+	8.85607i	−0.0629775	+	0.347899i
$649$	20.9714	−	3.69783i	0.823200	−	0.145152i
$650$	8.07233	−	17.9645i	0.316623	−	0.704628i
$651$	−15.5773	−	11.4490i	−0.610521	−	0.448721i
$652$	−0.925557	−	1.32183i	−0.0362476	−	0.0517670i
$653$	−5.38657	−	20.1030i	−0.210793	−	0.786690i	−0.987605	−	0.156958i	$-0.949831\pi$
$653$	−5.38657	−	20.1030i	−0.210793	−	0.786690i	0.776812	−	0.629732i	$-0.216835\pi$
$654$	−4.31982	+	4.12592i	−0.168918	+	0.161336i
$655$	8.94542	−	4.73669i	0.349526	−	0.185078i
$656$	0.836021	+	2.29695i	0.0326411	+	0.0896807i
$657$	14.7688	−	3.23892i	0.576184	−	0.126362i
$658$	6.33496	−	1.69745i	0.246962	−	0.0661733i
$659$	−2.39202	+	13.5658i	−0.0931801	+	0.528450i	0.902110	+	0.431507i	$0.142018\pi$
$659$	−2.39202	+	13.5658i	−0.0931801	+	0.528450i	−0.995290	+	0.0969438i	$0.969093\pi$
$660$	16.2288	−	4.83385i	0.631705	−	0.188157i
$661$	−8.46126	−	7.09984i	−0.329105	−	0.276152i	0.463230	−	0.886238i	$-0.346690\pi$
$661$	−8.46126	−	7.09984i	−0.329105	−	0.276152i	−0.792335	+	0.610086i	$0.791135\pi$
$662$	−12.6482	+	18.0635i	−0.491586	+	0.702058i
$663$	−25.3152	−	31.6157i	−0.983163	−	1.22785i
$664$			2.40184i			0.0932094i
$665$	−18.9078	+	7.42169i	−0.733213	+	0.287801i
$666$	−2.78198	−	5.37395i	−0.107800	−	0.208236i
$667$	17.6602	−	8.23510i	0.683807	−	0.318864i
$668$	15.4276	+	10.8025i	0.596913	+	0.417963i
$669$	20.4890	+	10.1330i	0.792150	+	0.391766i
$670$	−25.4502	−	22.9947i	−0.983227	−	0.888362i
$671$	−34.1541	−	6.02229i	−1.31851	−	0.232488i
$672$	1.73257	+	3.16659i	0.0668352	+	0.122154i
$673$	5.12645	−	19.1322i	0.197610	−	0.737491i	−0.793966	−	0.607962i	$-0.791987\pi$
$673$	5.12645	−	19.1322i	0.197610	−	0.737491i	0.991576	−	0.129528i	$-0.0413462\pi$
$674$	−18.8689	+	6.86772i	−0.726803	+	0.264535i
$675$	22.0670	−	13.7130i	0.849361	−	0.527813i
$676$	1.25775	+	2.17849i	0.0483750	+	0.0837880i
$677$	33.4492	−	8.96269i	1.28556	−	0.344464i	0.449586	−	0.893237i	$-0.351572\pi$
$677$	33.4492	−	8.96269i	1.28556	−	0.344464i	0.835971	+	0.548773i	$0.184905\pi$
$678$	−9.36881	−	8.23510i	−0.359807	−	0.316267i
$679$	15.2369	+	18.1586i	0.584739	+	0.696865i
$680$	7.05373	−	11.2453i	0.270498	−	0.431239i
$681$	−8.26633	−	18.8448i	−0.316767	−	0.722134i
$682$	21.2225	−	9.89623i	0.812653	−	0.378946i
$683$	−1.97078	+	1.97078i	−0.0754097	+	0.0754097i	−0.743806	−	0.668396i	$-0.766981\pi$
$683$	−1.97078	+	1.97078i	−0.0754097	+	0.0754097i	0.668396	+	0.743806i	$0.266981\pi$
$684$	10.8282	+	7.33150i	0.414025	+	0.280327i
$685$	−9.18719	+	12.1484i	−0.351024	+	0.464166i
$686$	6.88318	−	18.9114i	0.262801	−	0.722040i
$687$	−12.8126	+	32.8370i	−0.488833	+	1.25281i
$688$	−0.208357	−	2.38153i	−0.00794352	−	0.0907948i
$689$	37.5116	−	31.4760i	1.42908	−	1.19914i
$690$	12.3577	−	18.7318i	0.470448	−	0.713106i
$691$	1.34383	−	2.32758i	0.0511217	−	0.0885453i	−0.839332	−	0.543619i	$-0.817054\pi$
$691$	1.34383	−	2.32758i	0.0511217	−	0.0885453i	0.890454	+	0.455074i	$0.150387\pi$
$692$	−4.19220	+	15.6455i	−0.159363	+	0.594752i
$693$	−1.13020	−	27.3114i	−0.0429326	−	1.03747i
$694$	−8.57968	−	23.5725i	−0.325680	−	0.894799i
$695$	4.28767	+	5.50743i	0.162641	+	0.208909i
$696$	−5.59033	−	1.63634i	−0.211901	−	0.0620251i
$697$	−8.32320	−	11.8868i	−0.315264	−	0.450243i
$698$	1.74892	−	19.9902i	0.0661976	−	0.756642i
$699$	−23.1509	+	46.8111i	−0.875648	+	1.77056i
$700$	3.42620	−	9.84056i	0.129498	−	0.371938i
$701$	−10.7622	+	29.5688i	−0.406481	+	1.11680i	0.552545	+	0.833483i	$0.313657\pi$
$701$	−10.7622	+	29.5688i	−0.406481	+	1.11680i	−0.959027	+	0.283316i	$0.908566\pi$
$702$	−1.40833	+	20.4190i	−0.0531539	+	0.770665i
$703$	−8.77573	+	0.541256i	−0.330983	+	0.0204139i
$704$	−4.37218			−0.164783
$705$	0.337451	+	12.1838i	0.0127091	+	0.458869i
$706$	−4.95302	−	28.0900i	−0.186409	−	1.05718i
$707$	−1.64624	−	18.8167i	−0.0619134	−	0.707673i
$708$	−8.33931	+	1.27383i	−0.313411	+	0.0478736i
$709$	2.52012	+	0.444365i	0.0946450	+	0.0166885i	0.220770	−	0.975326i	$-0.429143\pi$
$709$	2.52012	+	0.444365i	0.0946450	+	0.0166885i	−0.126125	+	0.992014i	$0.540254\pi$
$710$	−24.8071	+	10.4798i	−0.930993	+	0.393299i
$711$	−6.13774	−	3.92983i	−0.230183	−	0.147380i
$712$	−2.85350	+	6.11935i	−0.106939	+	0.229332i
$713$	13.1149	−	28.1249i	0.491156	−	1.05329i
$714$	−14.8004	−	15.4960i	−0.553891	−	0.579922i
$715$	35.4738	−	14.9859i	1.32665	−	0.560443i
$716$	−18.9947	−	3.34929i	−0.709867	−	0.125169i
$717$	1.43055	+	9.36530i	0.0534250	+	0.349754i
$718$	−2.03739	−	23.2875i	−0.0760347	−	0.869081i
$719$	−5.89838	−	33.4514i	−0.219973	−	1.24753i	−0.872066	−	0.489388i	$-0.837220\pi$
$719$	−5.89838	−	33.4514i	−0.219973	−	1.24753i	0.652094	−	0.758138i	$-0.273891\pi$
$720$	−6.47133	+	1.76688i	−0.241172	+	0.0658476i
$721$	3.43406			0.127891
$722$	16.1026	−	10.0850i	0.599277	−	0.375323i
$723$	−4.72813	+	7.77177i	−0.175841	+	0.289035i
$724$	−4.70237	+	12.9197i	−0.174762	+	0.480155i
$725$	7.31931	+	15.1385i	0.271832	+	0.562228i
$726$	12.6005	+	6.23172i	0.467650	+	0.231281i
$727$	0.532980	−	6.09199i	0.0197671	−	0.225940i	−0.979885	−	0.199563i	$-0.936048\pi$
$727$	0.532980	−	6.09199i	0.0197671	−	0.225940i	0.999652	−	0.0263762i	$-0.00839679\pi$
$728$	4.70836	+	6.72424i	0.174504	+	0.249217i
$729$	−16.5824	+	21.3079i	−0.614162	+	0.789180i
$730$	6.92301	+	8.89246i	0.256232	+	0.329125i
$731$	4.85396	+	13.3362i	0.179530	+	0.493255i
$732$	13.4719	+	2.69567i	0.497936	+	0.0996346i
$733$	−0.525452	+	1.96101i	−0.0194080	+	0.0724317i	−0.974951	−	0.222421i	$-0.928604\pi$
$733$	−0.525452	+	1.96101i	−0.0194080	+	0.0724317i	0.955543	+	0.294853i	$0.0952707\pi$
$734$	−12.3861	+	21.4534i	−0.457179	+	0.791858i
$735$	8.58963	+	5.66672i	0.316833	+	0.209020i
$736$	−4.43861	+	3.72444i	−0.163609	+	0.137285i
$737$	−5.84520	−	66.8110i	−0.215311	−	2.46101i
$738$	−0.973697	+	7.26815i	−0.0358423	+	0.267544i
$739$	11.4749	−	31.5271i	0.422113	−	1.15974i	−0.528383	−	0.849006i	$-0.677201\pi$
$739$	11.4749	−	31.5271i	0.422113	−	1.15974i	0.950495	−	0.310739i	$-0.100576\pi$
$740$	2.72061	−	3.59751i	0.100012	−	0.132247i
$741$	26.3096	+	13.8632i	0.966508	+	0.509277i
$742$	18.3193	−	18.3193i	0.672524	−	0.672524i
$743$	4.09400	−	1.90906i	0.150194	−	0.0700367i	−0.346068	−	0.938209i	$-0.612483\pi$
$743$	4.09400	−	1.90906i	0.150194	−	0.0700367i	0.496262	+	0.868173i	$0.334706\pi$
$744$	−8.49512	+	3.72641i	−0.311446	+	0.136617i
$745$	9.41101	−	15.0034i	0.344793	−	0.549682i
$746$	3.12838	+	3.72825i	0.114538	+	0.136501i
$747$	−3.34167	+	6.38378i	−0.122265	+	0.233570i
$748$	25.0712	−	6.71782i	0.916695	−	0.245628i
$749$	8.59602	+	14.8887i	0.314092	+	0.544023i
$750$	16.3122	+	10.4361i	0.595636	+	0.381074i
$751$	−20.5652	+	7.48512i	−0.750435	+	0.273136i	−0.688789	−	0.724962i	$-0.741857\pi$
$751$	−20.5652	+	7.48512i	−0.750435	+	0.273136i	−0.0616459	+	0.998098i	$0.519635\pi$
$752$	0.814517	−	3.03982i	0.0297024	−	0.110851i
$753$	−40.0229	+	21.8981i	−1.45852	+	0.798013i
$754$	−13.0455	−	2.30028i	−0.475091	−	0.0837713i
$755$	18.1639	+	16.4114i	0.661052	+	0.597271i
$756$	0.199282	+	10.8269i	0.00724781	+	0.393771i
$757$	−25.2525	−	17.6820i	−0.917816	−	0.642662i	0.0162091	−	0.999869i	$-0.494840\pi$
$757$	−25.2525	−	17.6820i	−0.917816	−	0.642662i	−0.934025	+	0.357207i	$0.883729\pi$
$758$	7.16993	−	3.34339i	0.260423	−	0.121437i
$759$	42.6329	−	10.3808i	1.54748	−	0.376800i
$760$	−1.45228	+	9.63799i	−0.0526796	+	0.349607i
$761$		−	35.2823i		−	1.27898i	−0.768799	−	0.639491i	$-0.779145\pi$
$761$		−	35.2823i		−	1.27898i	0.768799	−	0.639491i	$-0.220855\pi$
$762$	−25.1846	+	20.1658i	−0.912343	+	0.730528i
$763$	−4.12253	+	5.88758i	−0.149246	+	0.213145i
$764$	14.7984	+	12.4173i	0.535386	+	0.449242i
$765$	34.3935	−	20.0749i	1.24350	−	0.725808i
$766$	−3.79629	+	21.5298i	−0.137165	+	0.777904i
$767$	−18.5313	+	4.96543i	−0.669125	+	0.179291i
$768$	1.73159	+	0.0397542i	0.0624835	+	0.00143451i
$769$	4.93257	+	13.5521i	0.177873	+	0.488702i	0.996303	−	0.0859036i	$-0.0273777\pi$
$769$	4.93257	+	13.5521i	0.177873	+	0.488702i	−0.818430	+	0.574606i	$0.805155\pi$
$770$	18.0057	−	9.53419i	0.648880	−	0.343588i
$771$	−20.3432	−	21.2992i	−0.732641	−	0.767072i
$772$	6.24397	+	23.3028i	0.224725	+	0.838686i
$773$	−11.4891	−	16.4082i	−0.413235	−	0.590160i	0.557541	−	0.830149i	$-0.311745\pi$
$773$	−11.4891	−	16.4082i	−0.413235	−	0.590160i	−0.970776	+	0.239989i	$0.922856\pi$
$774$	2.75962	−	6.61968i	0.0991926	−	0.237940i
$775$	24.4262	+	10.9759i	0.877416	+	0.394265i
$776$	11.2017	−	1.97517i	0.402119	−	0.0709044i
$777$	−4.55085	−	5.68347i	−0.163261	−	0.203893i
$778$	17.4461	+	17.4461i	0.625475	+	0.625475i
$779$	9.08749	+	5.56243i	0.325593	+	0.199295i
$780$	−14.1856	+	5.61261i	−0.507926	+	0.200964i
$781$	−49.4804	−	18.0094i	−1.77055	−	0.644427i
$782$	19.7296	−	28.1768i	0.705529	−	1.00760i
$783$	−12.5818	−	12.1270i	−0.449636	−	0.433383i
$784$	−1.70788	−	2.03537i	−0.0609956	−	0.0726917i
$785$	40.2409	−	37.3963i	1.43626	−	1.33473i
$786$	−7.52481	−	2.20257i	−0.268401	−	0.0785631i
$787$	21.0259	+	5.63388i	0.749493	+	0.200826i	0.613293	−	0.789855i	$-0.289844\pi$
$787$	21.0259	+	5.63388i	0.749493	+	0.200826i	0.136200	+	0.990681i	$0.456511\pi$
$788$	11.5137	−	24.6912i	0.410158	−	0.879587i
$789$	20.3048	+	30.4633i	0.722870	+	1.08452i
$790$	0.671268	−	5.39055i	0.0238827	−	0.191787i
$791$	−12.9975	−	7.50409i	−0.462137	−	0.266815i
$792$	−11.6207	−	6.08300i	−0.412924	−	0.216150i
$793$	31.1258	+	2.72315i	1.10531	+	0.0967021i
$794$	12.5950	+	10.5685i	0.446981	+	0.375062i
$795$	25.2190	+	41.0145i	0.894425	+	1.45464i
$796$	−8.79572	−	3.20138i	−0.311756	−	0.113470i
$797$	−28.0634	−	28.0634i	−0.994057	−	0.994057i	0.00592514	−	0.999982i	$-0.498114\pi$
$797$	−28.0634	−	28.0634i	−0.994057	−	0.994057i	−0.999982	+	0.00592514i	$0.998114\pi$
$798$	14.5059	+	6.09350i	0.513503	+	0.215708i
$799$			18.6826i			0.660943i
$800$	−3.26732	−	3.78478i	−0.115517	−	0.133812i
$801$	−16.0981	+	12.2944i	−0.568797	+	0.434401i
$802$	20.9569	−	1.83349i	0.740015	−	0.0647429i
$803$	−1.92052	+	21.9516i	−0.0677735	+	0.774655i
$804$	1.70750	+	26.5135i	0.0602189	+	0.935059i
$805$	10.1576	−	25.0171i	0.358007	−	0.881739i
$806$	−18.2699	+	10.5481i	−0.643530	+	0.371542i
$807$	−2.98674	+	14.9266i	−0.105138	+	0.525441i
$808$	−8.21445	−	3.83046i	−0.288983	−	0.134755i
$809$	−9.99569	−	17.3130i	−0.351430	−	0.608694i	0.635070	−	0.772454i	$-0.280971\pi$
$809$	−9.99569	−	17.3130i	−0.351430	−	0.608694i	−0.986500	+	0.163760i	$0.947638\pi$
$810$	−19.6582	−	4.30741i	−0.690720	−	0.151347i
$811$	2.20086	−	12.4817i	0.0772827	−	0.438292i	−0.921474	−	0.388440i	$-0.873014\pi$
$811$	2.20086	−	12.4817i	0.0772827	−	0.438292i	0.998757	−	0.0498518i	$-0.0158749\pi$
$812$	−6.98180	−	0.610829i	−0.245013	−	0.0214359i
$813$	31.5976	−	10.6859i	1.10818	−	0.374770i
$814$	8.68521	−	1.53144i	0.304417	−	0.0536769i
$815$	3.02950	−	1.96000i	0.106119	−	0.0686558i
$816$	−9.99050	+	2.43262i	−0.349737	+	0.0851586i
$817$	−7.17686	−	7.55508i	−0.251086	−	0.264319i
$818$	−10.1794	+	10.1794i	−0.355913	+	0.355913i
$819$	3.15883	+	24.4229i	0.110378	+	0.853406i
$820$	−5.20113	+	1.68009i	−0.181632	+	0.0586712i
$821$	31.1431	−	37.1149i	1.08690	−	1.29532i	0.134352	−	0.990934i	$-0.457105\pi$
$821$	31.1431	−	37.1149i	1.08690	−	1.29532i	0.952549	−	0.304385i	$-0.0984508\pi$
$822$	11.6627	−	1.78148i	0.406784	−	0.0621364i
$823$	13.2684	−	9.29065i	0.462508	−	0.323852i	−0.318991	−	0.947758i	$-0.603344\pi$
$823$	13.2684	−	9.29065i	0.462508	−	0.323852i	0.781499	+	0.623906i	$0.214455\pi$
$824$	0.823915	−	1.42706i	0.0287024	−	0.0497141i
$825$	9.47287	+	36.6601i	0.329803	+	1.27634i
$826$	−9.53805	+	3.47157i	−0.331871	+	0.120791i
$827$	36.1169	+	16.8416i	1.25591	+	0.585639i	0.932688	−	0.360685i	$-0.117457\pi$
$827$	36.1169	+	16.8416i	1.25591	+	0.585639i	0.323219	+	0.946324i	$0.395235\pi$
$828$	−16.9791	+	3.72366i	−0.590063	+	0.129406i
$829$	39.7368	+	22.9421i	1.38012	+	0.796811i	0.992173	−	0.124872i	$-0.0398521\pi$
$829$	39.7368	+	22.9421i	1.38012	+	0.796811i	0.387944	+	0.921683i	$0.373185\pi$
$830$	−5.36707	−	0.196645i	−0.186294	−	0.00682564i
$831$	−5.39395	−	3.96445i	−0.187114	−	0.137525i
$832$	3.92398	−	0.343304i	0.136040	−	0.0119019i
$833$	12.9207	+	9.04719i	0.447677	+	0.313467i
$834$	0.594695	−	5.37363i	0.0205926	−	0.186074i
$835$	−25.4021	+	33.5897i	−0.879077	+	1.16242i
$836$	−14.9088	+	11.8715i	−0.515632	+	0.410583i
$837$	−27.7635	−	1.91489i	−0.959647	−	0.0661882i
$838$	9.86585	+	21.1574i	0.340810	+	0.730870i
$839$	4.38601	+	24.8743i	0.151422	+	0.858756i	0.961985	+	0.273104i	$0.0880503\pi$
$839$	4.38601	+	24.8743i	0.151422	+	0.858756i	−0.810563	+	0.585652i	$0.800839\pi$
$840$	−7.21780	+	3.61228i	−0.249038	+	0.124635i
$841$	−13.5515	+	11.3710i	−0.467292	+	0.392105i
$842$	−21.8130	+	15.2736i	−0.751724	+	0.526363i
$843$	22.1999	−	12.1464i	0.764604	−	0.418345i
$844$	5.77722	−	3.33548i	0.198860	−	0.114812i
$845$	−4.97096	+	2.63217i	−0.171006	+	0.0905495i
$846$	6.39417	−	6.94622i	0.219836	−	0.238816i
$847$	16.3373	+	4.37757i	0.561357	+	0.150415i
$848$	−3.21755	−	12.0081i	−0.110491	−	0.412358i
$849$	−2.88129	−	44.7397i	−0.0988856	−	1.53546i
$850$	24.5510	+	16.6827i	0.842091	+	0.572213i
$851$	7.51262	−	8.95319i	0.257529	−	0.306911i
$852$	19.4329	+	7.58249i	0.665759	+	0.259772i
$853$	17.3900	+	37.2930i	0.595423	+	1.27689i	0.940971	+	0.338488i	$0.109915\pi$
$853$	17.3900	+	37.2930i	0.595423	+	1.27689i	−0.345548	+	0.938401i	$0.612307\pi$
$854$	16.5306			0.565666
$855$	−17.2693	+	23.5960i	−0.590596	+	0.806967i
$856$	8.24957			0.281965
$857$	1.84960	+	3.96649i	0.0631813	+	0.135493i	0.935363	−	0.353690i	$-0.115073\pi$
$857$	1.84960	+	3.96649i	0.0631813	+	0.135493i	−0.872182	+	0.489182i	$0.837295\pi$
$858$	−27.7888	−	10.8429i	−0.948692	−	0.370169i
$859$	24.9518	−	29.7364i	0.851343	−	1.01459i	−0.148328	−	0.988938i	$-0.547389\pi$
$859$	24.9518	−	29.7364i	0.851343	−	1.01459i	0.999671	−	0.0256530i	$-0.00816652\pi$
$860$	5.33874	−	0.270605i	0.182050	−	0.00922755i
$861$	0.567044	+	8.80487i	0.0193248	+	0.300069i
$862$	−3.51002	−	13.0996i	−0.119552	−	0.446174i
$863$	−32.8747	−	8.80876i	−1.11907	−	0.299854i	−0.348562	−	0.937286i	$-0.613330\pi$
$863$	−32.8747	−	8.80876i	−1.11907	−	0.299854i	−0.770507	+	0.637432i	$0.779997\pi$
$864$	4.54705	+	2.51482i	0.154694	+	0.0855560i
$865$	−34.6177	−	10.6487i	−1.17704	−	0.362066i
$866$	27.5051	−	15.8801i	0.934661	−	0.539627i
$867$	27.7192	−	15.1663i	0.941394	−	0.515074i
$868$	−9.14288	+	6.40192i	−0.310330	+	0.217295i
$869$	8.13657	−	6.82740i	0.276014	−	0.231604i
$870$	4.11420	−	12.3580i	0.139484	−	0.418976i
$871$	10.4920	+	59.5031i	0.355508	+	2.01619i
$872$	1.45756	+	3.12574i	0.0493591	+	0.105851i
$873$	32.5208	+	10.3352i	1.10066	+	0.349793i
$874$	−5.02263	+	24.7519i	−0.169893	+	0.837244i
$875$	21.7089	+	8.46176i	0.733894	+	0.286060i
$876$	0.960212	−	8.67643i	0.0324426	−	0.293149i
$877$	32.8604	+	23.0091i	1.10962	+	0.776963i	0.976795	−	0.214177i	$-0.0687069\pi$
$877$	32.8604	+	23.0091i	1.10962	+	0.776963i	0.132823	+	0.991140i	$0.457596\pi$
$878$	−18.6237	+	1.62937i	−0.628520	+	0.0549884i
$879$	4.36429	+	3.20767i	0.147204	+	0.108192i
$880$	0.357962	−	9.76994i	0.0120669	−	0.329345i
$881$	−22.0936	−	12.7558i	−0.744353	−	0.429752i	0.0792971	−	0.996851i	$-0.474732\pi$
$881$	−22.0936	−	12.7558i	−0.744353	−	0.429752i	−0.823650	+	0.567099i	$0.808066\pi$
$882$	−1.70752	−	7.78591i	−0.0574952	−	0.262165i
$883$	−0.532021	−	0.248085i	−0.0179039	−	0.00834874i	0.413646	−	0.910438i	$-0.364255\pi$
$883$	−0.532021	−	0.248085i	−0.0179039	−	0.00834874i	−0.431550	+	0.902089i	$0.642033\pi$
$884$	−21.9737	+	7.99776i	−0.739054	+	0.268994i
$885$	−2.16371	−	18.7391i	−0.0727322	−	0.629907i
$886$	13.8999	−	24.0754i	0.466977	−	0.808828i
$887$	32.8983	−	23.0356i	1.10462	−	0.773461i	0.128717	−	0.991681i	$-0.458914\pi$
$887$	32.8983	−	23.0356i	1.10462	−	0.773461i	0.975899	+	0.218221i	$0.0700253\pi$
$888$	−3.45369	+	0.527552i	−0.115898	+	0.0177035i
$889$	−24.9524	+	29.7371i	−0.836876	+	0.997350i
$890$	−13.4405	−	6.87735i	−0.450526	−	0.230529i
$891$	−22.4231	−	32.3357i	−0.751203	−	1.08329i
$892$	9.33164	−	9.33164i	0.312447	−	0.312447i
$893$	−5.47635	−	12.5771i	−0.183259	−	0.420878i
$894$	−13.3292	+	3.24557i	−0.445795	+	0.108548i
$895$	9.03936	−	42.1708i	0.302152	−	1.40962i
$896$	2.05233	−	0.361881i	0.0685635	−	0.0120896i
$897$	−37.4474	+	12.6642i	−1.25033	+	0.422845i
$898$	13.6644	+	1.19548i	0.455986	+	0.0398936i
$899$	3.12767	−	17.7379i	0.104314	−	0.591592i
$900$	−3.41838	−	14.6053i	−0.113946	−	0.486843i
$901$	36.9005	+	63.9136i	1.22933	+	2.12927i
$902$	−9.68589	−	4.51660i	−0.322505	−	0.150386i
$903$	1.69309	−	8.46141i	0.0563424	−	0.281578i
$904$	−6.23681	+	3.60083i	−0.207433	+	0.119762i
$905$	−28.4849	−	11.5655i	−0.946869	−	0.384451i
$906$	−1.21865	−	18.9228i	−0.0404869	−	0.628667i
$907$	3.09635	−	35.3915i	0.102813	−	1.17515i	−0.753054	−	0.657958i	$-0.771420\pi$
$907$	3.09635	−	35.3915i	0.102813	−	1.17515i	0.855867	−	0.517196i	$-0.173024\pi$
$908$	−11.8356	+	1.03548i	−0.392777	+	0.0343635i
$909$	−16.5037	−	21.6096i	−0.547392	−	0.716745i
$910$	−15.4113	+	9.97063i	−0.510878	+	0.330523i
$911$		−	3.51211i		−	0.116361i	−0.998306	−	0.0581807i	$-0.981470\pi$
$911$		−	3.51211i		−	0.116361i	0.998306	−	0.0581807i	$-0.0185299\pi$
$912$	6.01254	−	4.56611i	0.199095	−	0.151199i
$913$	−7.42552	−	7.42552i	−0.245749	−	0.245749i
$914$	20.4540	+	7.44464i	0.676558	+	0.246247i
$915$	−7.12663	+	29.8832i	−0.235599	+	0.987909i
$916$	15.5894	+	13.0811i	0.515089	+	0.432211i
$917$	−9.39778	−	0.822199i	−0.310342	−	0.0271514i
$918$	−29.9380	−	7.43415i	−0.988100	−	0.245363i
$919$	−27.3993	−	15.8190i	−0.903820	−	0.521821i	−0.0253826	−	0.999678i	$-0.508080\pi$
$919$	−27.3993	−	15.8190i	−0.903820	−	0.521821i	−0.878438	+	0.477857i	$0.841414\pi$
$920$	−7.95911	−	10.2233i	−0.262404	−	0.337053i
$921$	8.02177	+	12.0350i	0.264326	+	0.396568i
$922$	1.77148	−	3.79895i	0.0583405	−	0.125112i
$923$	45.8222	+	12.2780i	1.50826	+	0.404136i
$924$	−15.1462	−	4.43342i	−0.498274	−	0.145849i
$925$	7.81613	+	6.37392i	0.256993	+	0.209573i
$926$	6.38596	+	7.61050i	0.209856	+	0.250096i
$927$	4.17533	−	2.64664i	0.137136	−	0.0869271i
$928$	−1.92894	+	2.75481i	−0.0633206	+	0.0904312i
$929$	29.2594	+	10.6496i	0.959971	+	0.349401i	0.774022	−	0.633158i	$-0.218242\pi$
$929$	29.2594	+	10.6496i	0.959971	+	0.349401i	0.185949	+	0.982559i	$0.440464\pi$
$930$	−7.63141	−	19.2880i	−0.250244	−	0.632479i
$931$	−11.3502	−	2.30317i	−0.371988	−	0.0754835i
$932$	21.3200	+	21.3200i	0.698358	+	0.698358i
$933$	−15.1839	−	18.9629i	−0.497100	−	0.620819i
$934$	−2.46715	+	0.435025i	−0.0807275	+	0.0142344i
$935$	12.9588	+	56.5734i	0.423797	+	1.85015i
$936$	10.9071	+	4.54696i	0.356509	+	0.148622i
$937$	4.83768	+	6.90892i	0.158040	+	0.225705i	0.890361	−	0.455255i	$-0.150452\pi$
$937$	4.83768	+	6.90892i	0.158040	+	0.225705i	−0.732321	+	0.680960i	$0.761563\pi$
$938$	8.27365	+	30.8777i	0.270144	+	1.00819i
$939$	32.9138	+	34.4606i	1.07410	+	1.12458i
$940$	6.72600	+	2.06897i	0.219378	+	0.0674825i
$941$	3.66634	+	10.0732i	0.119519	+	0.328376i	0.984997	−	0.172571i	$-0.0552074\pi$
$941$	3.66634	+	10.0732i	0.119519	+	0.328376i	−0.865478	+	0.500947i	$0.832985\pi$
$942$	−42.5410	−	0.976662i	−1.38606	−	0.0318214i
$943$	−13.6805	+	3.66568i	−0.445499	+	0.119371i
$944$	−0.845762	+	4.79656i	−0.0275272	+	0.156115i
$945$	−24.2098	−	0.441119i	−0.787544	−	0.0143496i
$946$	8.00688	+	6.71857i	0.260326	+	0.218440i
$947$	−4.56043	+	6.51297i	−0.148194	+	0.211643i	−0.886385	−	0.462949i	$-0.846791\pi$
$947$	−4.56043	+	6.51297i	−0.148194	+	0.211643i	0.738191	+	0.674592i	$0.235680\pi$
$948$	−3.28455	+	2.62999i	−0.106677	+	0.0854182i
$949$		−	19.8521i		−	0.644427i
$950$	−21.4179	−	4.03430i	−0.694887	−	0.130890i
$951$	35.7163	−	8.69669i	1.15818	−	0.282009i
$952$	−11.2126	+	5.22851i	−0.363401	+	0.169457i
$953$	−4.78765	−	3.35235i	−0.155087	−	0.108593i	0.493457	−	0.869770i	$-0.335733\pi$
$953$	−4.78765	−	3.35235i	−0.155087	−	0.108593i	−0.648544	+	0.761177i	$0.724622\pi$
$954$	8.15492	−	36.3925i	0.264025	−	1.17825i
$955$	−28.9589	+	32.0513i	−0.937088	+	1.03716i
$956$	5.38668	+	0.949817i	0.174218	+	0.0307193i
$957$	22.3420	−	12.2242i	0.722214	−	0.395152i
$958$	−1.61608	+	6.03130i	−0.0522132	+	0.194862i
$959$	13.3392	−	4.85506i	0.430744	−	0.156778i
$960$	−0.230604	+	3.86611i	−0.00744271	+	0.124778i
$961$	1.15780	+	2.00536i	0.0373482	+	0.0646890i
$962$	−7.67463	+	2.05641i	−0.247440	+	0.0663013i
$963$	21.9263	+	11.4776i	0.706566	+	0.369860i
$964$	3.37603	+	4.02339i	0.108734	+	0.129585i
$965$	−52.5829	+	12.0447i	−1.69270	+	0.387733i
$966$	−19.1529	+	8.40150i	−0.616236	+	0.270314i
$967$	−32.7495	+	15.2714i	−1.05315	+	0.491094i	−0.870544	−	0.492091i	$-0.836233\pi$
$967$	−32.7495	+	15.2714i	−1.05315	+	0.491094i	−0.182611	+	0.983185i	$0.558455\pi$
$968$	5.73887	−	5.73887i	0.184454	−	0.184454i
$969$	−27.4617	+	35.4215i	−0.882197	+	1.13790i
$970$	3.49653	+	25.1928i	0.112267	+	0.808891i
$971$	19.3295	−	53.1073i	0.620313	−	1.70430i	−0.0859072	−	0.996303i	$-0.527379\pi$
$971$	19.3295	−	53.1073i	0.620313	−	1.70430i	0.706220	−	0.707992i	$-0.250399\pi$
$972$	8.58663	+	13.0104i	0.275416	+	0.417308i
$973$	−0.566947	−	6.48023i	−0.0181755	−	0.207747i
$974$	4.90023	−	4.11178i	0.157013	−	0.131750i
$975$	−11.3803	−	32.1582i	−0.364463	−	1.02989i
$976$	3.96610	−	6.86948i	0.126952	−	0.219887i
$977$	−3.97378	+	14.8304i	−0.127133	+	0.474465i	−0.999907	−	0.0136589i	$-0.995652\pi$
$977$	−3.97378	+	14.8304i	−0.127133	+	0.474465i	0.872774	+	0.488124i	$0.162319\pi$
$978$	−2.74062	−	0.548384i	−0.0876352	−	0.0175354i
$979$	−10.0967	−	27.7405i	−0.322692	−	0.886589i
$980$	4.68800	−	3.64972i	0.149753	−	0.116586i
$981$	−0.474828	+	10.3357i	−0.0151601	+	0.329994i
$982$	20.7901	+	29.6914i	0.663440	+	0.947490i
$983$	−0.920499	+	10.5213i	−0.0293593	+	0.335579i	0.967283	+	0.253700i	$0.0816476\pi$
$983$	−0.920499	+	10.5213i	−0.0293593	+	0.335579i	−0.996642	+	0.0818788i	$0.973908\pi$
$984$	3.79501	+	1.87686i	0.120980	+	0.0598321i
$985$	54.2315	+	27.7497i	1.72796	+	0.884177i
$986$	6.82831	−	18.7606i	0.217458	−	0.597460i
$987$	5.90406	−	9.70469i	0.187928	−	0.308904i
$988$	12.4483	−	11.8251i	0.396034	−	0.376208i
$989$	13.8517			0.440460
$990$	14.5443	−	25.4693i	0.462248	−	0.809466i
$991$	−1.13620	−	6.44369i	−0.0360925	−	0.204691i	0.961429	−	0.275053i	$-0.0886955\pi$
$991$	−1.13620	−	6.44369i	−0.0360925	−	0.204691i	−0.997521	+	0.0703627i	$0.977584\pi$
$992$	0.466787	+	5.33540i	0.0148205	+	0.169399i
$993$	5.76729	+	37.7563i	0.183019	+	1.19816i
$994$	24.7170	+	4.35828i	0.783977	+	0.138236i
$995$	7.87383	−	19.3925i	0.249617	−	0.614785i
$996$	2.87335	+	3.00838i	0.0910454	+	0.0953242i
$997$	−4.35072	+	9.33015i	−0.137789	+	0.295489i	−0.963079	−	0.269220i	$-0.913234\pi$
$997$	−4.35072	+	9.33015i	−0.137789	+	0.295489i	0.825290	+	0.564709i	$0.191012\pi$
$998$	−2.13245	+	4.57306i	−0.0675016	+	0.144758i
$999$	−9.91344	−	3.40293i	−0.313648	−	0.107664i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.23.1	✓	480
3.2	odd	2	inner	570.2.bi.a.23.35	yes	480
5.2	odd	4	inner	570.2.bi.a.137.29	yes	480
15.2	even	4	inner	570.2.bi.a.137.16	yes	480
19.5	even	9	inner	570.2.bi.a.233.16	yes	480
57.5	odd	18	inner	570.2.bi.a.233.29	yes	480
95.62	odd	36	inner	570.2.bi.a.347.35	yes	480
285.62	even	36	inner	570.2.bi.a.347.1	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.23.1	✓	480	1.1	even	1	trivial
570.2.bi.a.23.35	yes	480	3.2	odd	2	inner
570.2.bi.a.137.16	yes	480	15.2	even	4	inner
570.2.bi.a.137.29	yes	480	5.2	odd	4	inner
570.2.bi.a.233.16	yes	480	19.5	even	9	inner
570.2.bi.a.233.29	yes	480	57.5	odd	18	inner
570.2.bi.a.347.1	yes	480	285.62	even	36	inner
570.2.bi.a.347.35	yes	480	95.62	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)

\(f(q)\)	\(=\)	\(q+(-0.422618 - 0.906308i) q^{2} +(-1.61357 - 0.629597i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(-1.65915 - 1.49907i) q^{5} +(0.111315 + 1.72847i) q^{6} +(0.539376 + 2.01298i) q^{7} +(0.965926 + 0.258819i) q^{8} +(2.20722 + 2.03180i) q^{9} +O(q^{10})\)	\(q+(-0.422618 - 0.906308i) q^{2} +(-1.61357 - 0.629597i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(-1.65915 - 1.49907i) q^{5} +(0.111315 + 1.72847i) q^{6} +(0.539376 + 2.01298i) q^{7} +(0.965926 + 0.258819i) q^{8} +(2.20722 + 2.03180i) q^{9} +(-0.657432 + 2.13724i) q^{10} +(-3.78642 + 2.18609i) q^{11} +(1.51948 - 0.831369i) q^{12} +(3.22662 - 2.25930i) q^{13} +(1.59643 - 1.33956i) q^{14} +(1.73335 + 3.46345i) q^{15} +(-0.173648 - 0.984808i) q^{16} +(2.50889 + 5.38034i) q^{17} +(0.908624 - 2.85909i) q^{18} +(-3.26610 - 2.88662i) q^{19} +(2.21484 - 0.307400i) q^{20} +(0.397045 - 3.58767i) q^{21} +(3.58148 + 2.50778i) q^{22} +(5.77215 - 0.504997i) q^{23} +(-1.39564 - 1.02577i) q^{24} +(0.505571 + 4.97437i) q^{25} +(-3.41125 - 1.96949i) q^{26} +(-2.28228 - 4.66810i) q^{27} +(-1.88874 - 0.880732i) q^{28} +(3.16019 - 1.15022i) q^{29} +(2.40641 - 3.03466i) q^{30} +(2.67789 - 4.63824i) q^{31} +(-0.819152 + 0.573576i) q^{32} +(7.48601 - 1.14349i) q^{33} +(3.81594 - 4.54766i) q^{34} +(2.12269 - 4.14840i) q^{35} +(-2.97522 + 0.384811i) q^{36} +(1.42632 - 1.42632i) q^{37} +(-1.23585 + 4.18003i) q^{38} +(-6.62882 + 1.61407i) q^{39} +(-1.21463 - 1.87741i) q^{40} +(-2.40723 + 0.424459i) q^{41} +(-3.41934 + 1.15637i) q^{42} +(2.38153 + 0.208357i) q^{43} +(0.759222 - 4.30576i) q^{44} +(-0.616297 - 6.67983i) q^{45} +(-2.89710 - 5.01792i) q^{46} +(2.85220 + 1.33000i) q^{47} +(-0.339838 + 1.69838i) q^{48} +(2.30101 - 1.32849i) q^{49} +(4.29465 - 2.56046i) q^{50} +(-0.660829 - 10.2611i) q^{51} +(-0.343304 + 3.92398i) q^{52} +(12.3843 - 1.08349i) q^{53} +(-3.26620 + 4.04128i) q^{54} +(9.55936 + 2.04906i) q^{55} +2.08399i q^{56} +(3.45267 + 6.71409i) q^{57} +(-2.37800 - 2.37800i) q^{58} +(-4.57682 - 1.66583i) q^{59} +(-3.76733 - 0.898444i) q^{60} +(6.07641 + 5.09872i) q^{61} +(-5.33540 - 0.466787i) q^{62} +(-2.89945 + 5.53898i) q^{63} +(0.866025 + 0.500000i) q^{64} +(-8.74030 - 1.08840i) q^{65} +(-4.20008 - 6.30137i) q^{66} +(-6.48266 + 13.9021i) q^{67} +(-5.73426 - 1.53649i) q^{68} +(-9.63171 - 2.81928i) q^{69} +(-4.65682 - 0.170622i) q^{70} +(7.74135 + 9.22578i) q^{71} +(1.60614 + 2.53383i) q^{72} +(2.89078 - 4.12846i) q^{73} +(-1.89547 - 0.689894i) q^{74} +(2.31608 - 8.34481i) q^{75} +(4.31069 - 0.646493i) q^{76} +(-6.44287 - 6.44287i) q^{77} +(4.26431 + 5.32562i) q^{78} +(-2.39244 + 0.421851i) q^{79} +(-1.18819 + 1.89426i) q^{80} +(0.743599 + 8.96923i) q^{81} +(1.40203 + 2.00230i) q^{82} +(0.621641 + 2.32000i) q^{83} +(2.49310 + 2.61027i) q^{84} +(3.90287 - 12.6878i) q^{85} +(-0.817641 - 2.24645i) q^{86} +(-5.82336 - 0.133694i) q^{87} +(-4.22321 + 1.13160i) q^{88} +(-1.17246 + 6.64938i) q^{89} +(-5.79353 + 3.38157i) q^{90} +(6.28829 + 5.27650i) q^{91} +(-3.32341 + 4.74633i) q^{92} +(-7.24119 + 5.79814i) q^{93} -3.14705i q^{94} +(1.09171 + 9.68546i) q^{95} +(1.68288 - 0.409770i) q^{96} +(10.3088 - 4.80709i) q^{97} +(-2.17647 - 1.52398i) q^{98} +(-12.7991 - 2.86807i) 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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