LMFDB - Embedded newform 570.2.bi.a.263.34

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			263.34
Character	$\chi$	$=$	570.263
Dual form			570.2.bi.a.557.34

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0871557 + 0.996195i) q^{2} +(0.604167 + 1.62326i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-0.885339 + 2.05333i) q^{5} +(-1.56443 + 0.743345i) q^{6} +(2.10029 + 0.562771i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.26996 + 1.96144i) q^{9} +O(q^{10})$	\(q+(0.0871557 + 0.996195i) q^{2} +(0.604167 + 1.62326i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-0.885339 + 2.05333i) q^{5} +(-1.56443 + 0.743345i) q^{6} +(2.10029 + 0.562771i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.26996 + 1.96144i) q^{9} +(-2.12268 - 0.703010i) q^{10} +(-4.26692 - 2.46351i) q^{11} +(-0.876865 - 1.49369i) q^{12} +(1.55734 + 3.33972i) q^{13} +(-0.377577 + 2.14135i) q^{14} +(-3.86799 - 0.196581i) q^{15} +(0.939693 - 0.342020i) q^{16} +(-0.0644939 - 0.737169i) q^{17} +(-2.15182 - 2.09037i) q^{18} +(-3.80763 + 2.12178i) q^{19} +(0.515331 - 2.17588i) q^{20} +(0.355401 + 3.74933i) q^{21} +(2.08225 - 4.46540i) q^{22} +(6.88940 + 4.82401i) q^{23} +(1.41158 - 1.00371i) q^{24} +(-3.43235 - 3.63579i) q^{25} +(-3.19128 + 1.84249i) q^{26} +(-4.55538 - 2.49971i) q^{27} +(-2.16611 - 0.189510i) q^{28} +(5.94881 - 4.99165i) q^{29} +(-0.141285 - 3.87041i) q^{30} +(-1.68756 - 2.92294i) q^{31} +(0.422618 + 0.906308i) q^{32} +(1.42099 - 8.41471i) q^{33} +(0.728743 - 0.128497i) q^{34} +(-3.01502 + 3.81435i) q^{35} +(1.89488 - 2.32582i) q^{36} +(-2.59022 + 2.59022i) q^{37} +(-2.44557 - 3.60821i) q^{38} +(-4.48035 + 4.54572i) q^{39} +(2.21251 + 0.323730i) q^{40} +(1.88858 + 5.18882i) q^{41} +(-3.70409 + 0.680824i) q^{42} +(1.20210 - 0.841718i) q^{43} +(4.62988 + 1.68514i) q^{44} +(-2.01781 - 6.39753i) q^{45} +(-4.20520 + 7.28362i) q^{46} +(-3.40531 - 0.297926i) q^{47} +(1.12292 + 1.31873i) q^{48} +(-1.96767 - 1.13604i) q^{49} +(3.32281 - 3.73617i) q^{50} +(1.15765 - 0.550064i) q^{51} +(-2.11361 - 3.01855i) q^{52} +(-1.78702 - 1.25128i) q^{53} +(2.09317 - 4.75591i) q^{54} +(8.83608 - 6.58037i) q^{55} -2.17438i q^{56} +(-5.74466 - 4.89887i) q^{57} +(5.49112 + 5.49112i) q^{58} +(0.260072 + 0.218226i) q^{59} +(3.84336 - 0.478075i) q^{60} +(2.17200 + 12.3180i) q^{61} +(2.76474 - 1.93589i) q^{62} +(-5.87143 + 2.84213i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-8.23633 + 0.240948i) q^{65} +(8.50654 + 0.682190i) q^{66} +(-0.241436 + 2.75962i) q^{67} +(0.191522 + 0.714770i) q^{68} +(-3.66828 + 14.0978i) q^{69} +(-4.06261 - 2.67111i) q^{70} +(14.7306 + 2.59739i) q^{71} +(2.48212 + 1.68496i) q^{72} +(6.92199 + 3.22778i) q^{73} +(-2.80612 - 2.35461i) q^{74} +(3.82813 - 7.76823i) q^{75} +(3.38134 - 2.75074i) q^{76} +(-7.57539 - 7.57539i) q^{77} +(-4.91891 - 4.06712i) q^{78} +(0.282184 + 0.775293i) q^{79} +(-0.129665 + 2.23231i) q^{80} +(1.30547 - 8.90482i) q^{81} +(-5.00448 + 2.33363i) q^{82} +(5.94152 + 1.59202i) q^{83} +(-1.00107 - 3.63065i) q^{84} +(1.57075 + 0.520217i) q^{85} +(0.943285 + 1.12416i) q^{86} +(11.6968 + 6.64070i) q^{87} +(-1.27521 + 4.75914i) q^{88} +(5.88303 + 2.14125i) q^{89} +(6.19733 - 2.56771i) q^{90} +(1.39136 + 7.89081i) q^{91} +(-7.62241 - 3.55439i) q^{92} +(3.72513 - 4.50530i) q^{93} -3.41832i q^{94} +(-0.985686 - 9.69683i) q^{95} +(-1.21584 + 1.23358i) q^{96} +(-2.02829 + 0.177453i) q^{97} +(0.960219 - 2.05920i) q^{98} +(14.5178 - 2.77726i) 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 $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.0871557	+	0.996195i	0.0616284	+	0.704416i
$2$	0.0871557	+	0.996195i	0.0616284	+	0.704416i
$3$	0.604167	+	1.62326i	0.348816	+	0.937191i
$3$	0.604167	+	1.62326i	0.348816	+	0.937191i
$4$	−0.984808	+	0.173648i	−0.492404	+	0.0868241i
$5$	−0.885339	+	2.05333i	−0.395936	+	0.918278i
$5$	−0.885339	+	2.05333i	−0.395936	+	0.918278i
$6$	−1.56443	+	0.743345i	−0.638676	+	0.303469i
$7$	2.10029	+	0.562771i	0.793835	+	0.212707i	0.632875	−	0.774254i	$-0.281875\pi$
$7$	2.10029	+	0.562771i	0.793835	+	0.212707i	0.160959	+	0.986961i	$0.448541\pi$
$8$	−0.258819	−	0.965926i	−0.0915064	−	0.341506i
$9$	−2.26996	+	1.96144i	−0.756655	+	0.653815i
$10$	−2.12268	−	0.703010i	−0.671251	−	0.222311i
$11$	−4.26692	−	2.46351i	−1.28653	−	0.742776i	−0.308493	−	0.951227i	$-0.599825\pi$
$11$	−4.26692	−	2.46351i	−1.28653	−	0.742776i	−0.978033	+	0.208450i	$0.933158\pi$
$12$	−0.876865	−	1.49369i	−0.253129	−	0.431191i
$13$	1.55734	+	3.33972i	0.431928	+	0.926272i	0.995001	+	0.0998650i	$0.0318411\pi$
$13$	1.55734	+	3.33972i	0.431928	+	0.926272i	−0.563073	+	0.826407i	$0.690381\pi$
$14$	−0.377577	+	2.14135i	−0.100912	+	0.572299i
$15$	−3.86799	−	0.196581i	−0.998711	−	0.0507570i
$16$	0.939693	−	0.342020i	0.234923	−	0.0855050i
$17$	−0.0644939	−	0.737169i	−0.0156421	−	0.178790i	−0.999997	−	0.00259072i	$-0.999175\pi$
$17$	−0.0644939	−	0.737169i	−0.0156421	−	0.178790i	0.984355	−	0.176199i	$-0.0563802\pi$
$18$	−2.15182	−	2.09037i	−0.507189	−	0.492706i
$19$	−3.80763	+	2.12178i	−0.873530	+	0.486771i
$19$	−3.80763	+	2.12178i	−0.873530	+	0.486771i
$20$	0.515331	−	2.17588i	0.115232	−	0.486541i
$21$	0.355401	+	3.74933i	0.0775549	+	0.818171i
$22$	2.08225	−	4.46540i	0.443937	−	0.952026i
$23$	6.88940	+	4.82401i	1.43654	+	1.00588i	0.994030	+	0.109111i	$0.0348005\pi$
$23$	6.88940	+	4.82401i	1.43654	+	1.00588i	0.442509	+	0.896764i	$0.354088\pi$
$24$	1.41158	−	1.00371i	0.288138	−	0.204882i
$25$	−3.43235	−	3.63579i	−0.686470	−	0.727158i
$26$	−3.19128	+	1.84249i	−0.625862	+	0.361341i
$27$	−4.55538	−	2.49971i	−0.876683	−	0.481069i
$28$	−2.16611	−	0.189510i	−0.409356	−	0.0358140i
$29$	5.94881	−	4.99165i	1.10467	−	0.926925i	0.106937	−	0.994266i	$-0.465896\pi$
$29$	5.94881	−	4.99165i	1.10467	−	0.926925i	0.997730	+	0.0673405i	$0.0214514\pi$
$30$	−0.141285	−	3.87041i	−0.0257949	−	0.706636i
$31$	−1.68756	−	2.92294i	−0.303095	−	0.524976i	0.673740	−	0.738968i	$-0.264687\pi$
$31$	−1.68756	−	2.92294i	−0.303095	−	0.524976i	−0.976835	+	0.213992i	$0.931353\pi$
$32$	0.422618	+	0.906308i	0.0747091	+	0.160214i
$33$	1.42099	−	8.41471i	0.247362	−	1.46481i
$34$	0.728743	−	0.128497i	0.124978	−	0.0220370i
$35$	−3.01502	+	3.81435i	−0.509632	+	0.644743i
$36$	1.89488	−	2.32582i	0.315813	−	0.387637i
$37$	−2.59022	+	2.59022i	−0.425830	+	0.425830i	−0.887205	−	0.461375i	$-0.847356\pi$
$37$	−2.59022	+	2.59022i	−0.425830	+	0.425830i	0.461375	+	0.887205i	$0.347356\pi$
$38$	−2.44557	−	3.60821i	−0.396723	−	0.585330i
$39$	−4.48035	+	4.54572i	−0.717431	+	0.727897i
$40$	2.21251	+	0.323730i	0.349828	+	0.0511862i
$41$	1.88858	+	5.18882i	0.294946	+	0.810358i	0.995325	+	0.0965863i	$0.0307924\pi$
$41$	1.88858	+	5.18882i	0.294946	+	0.810358i	−0.700378	+	0.713772i	$0.746985\pi$
$42$	−3.70409	+	0.680824i	−0.571553	+	0.105053i
$43$	1.20210	−	0.841718i	0.183318	−	0.128361i	−0.478315	−	0.878188i	$-0.658752\pi$
$43$	1.20210	−	0.841718i	0.183318	−	0.128361i	0.661634	+	0.749827i	$0.269863\pi$
$44$	4.62988	+	1.68514i	0.697981	+	0.254044i
$45$	−2.01781	−	6.39753i	−0.300798	−	0.953688i
$46$	−4.20520	+	7.28362i	−0.620023	+	1.07391i
$47$	−3.40531	−	0.297926i	−0.496716	−	0.0434570i	−0.163954	−	0.986468i	$-0.552425\pi$
$47$	−3.40531	−	0.297926i	−0.496716	−	0.0434570i	−0.332762	+	0.943011i	$0.607981\pi$
$48$	1.12292	+	1.31873i	0.162080	+	0.190342i
$49$	−1.96767	−	1.13604i	−0.281096	−	0.162291i
$50$	3.32281	−	3.73617i	0.469916	−	0.528374i
$51$	1.15765	−	0.550064i	0.162104	−	0.0770243i
$52$	−2.11361	−	3.01855i	−0.293106	−	0.418598i
$53$	−1.78702	−	1.25128i	−0.245466	−	0.171877i	0.444369	−	0.895844i	$-0.353428\pi$
$53$	−1.78702	−	1.25128i	−0.245466	−	0.171877i	−0.689835	+	0.723967i	$0.742317\pi$
$54$	2.09317	−	4.75591i	0.284844	−	0.647197i
$55$	8.83608	−	6.58037i	1.19146	−	0.887298i
$56$		−	2.17438i		−	0.290564i
$57$	−5.74466	−	4.89887i	−0.760898	−	0.648871i
$58$	5.49112	+	5.49112i	0.721020	+	0.721020i
$59$	0.260072	+	0.218226i	0.0338584	+	0.0284106i	0.659560	−	0.751652i	$-0.270743\pi$
$59$	0.260072	+	0.218226i	0.0338584	+	0.0284106i	−0.625701	+	0.780063i	$0.715187\pi$
$60$	3.84336	−	0.478075i	0.496176	−	0.0617192i
$61$	2.17200	+	12.3180i	0.278096	+	1.57716i	0.728952	+	0.684564i	$0.240008\pi$
$61$	2.17200	+	12.3180i	0.278096	+	1.57716i	−0.450856	+	0.892596i	$0.648881\pi$
$62$	2.76474	−	1.93589i	0.351122	−	0.245858i
$63$	−5.87143	+	2.84213i	−0.739730	+	0.358075i
$64$	−0.866025	+	0.500000i	−0.108253	+	0.0625000i
$65$	−8.23633	+	0.240948i	−1.02159	+	0.0298859i
$66$	8.50654	+	0.682190i	1.04708	+	0.0839718i
$67$	−0.241436	+	2.75962i	−0.0294961	+	0.337142i	0.967081	+	0.254470i	$0.0819009\pi$
$67$	−0.241436	+	2.75962i	−0.0294961	+	0.337142i	−0.996577	+	0.0826720i	$0.973655\pi$
$68$	0.191522	+	0.714770i	0.0232255	+	0.0866786i
$69$	−3.66828	+	14.0978i	−0.441610	+	1.69718i
$70$	−4.06261	−	2.67111i	−0.485575	−	0.319259i
$71$	14.7306	+	2.59739i	1.74820	+	0.308254i	0.954089	−	0.299524i	$-0.0968279\pi$
$71$	14.7306	+	2.59739i	1.74820	+	0.308254i	0.794107	+	0.607778i	$0.207939\pi$
$72$	2.48212	+	1.68496i	0.292521	+	0.198574i
$73$	6.92199	+	3.22778i	0.810158	+	0.377783i	0.783135	−	0.621852i	$-0.213619\pi$
$73$	6.92199	+	3.22778i	0.810158	+	0.377783i	0.0270231	+	0.999635i	$0.491397\pi$
$74$	−2.80612	−	2.35461i	−0.326205	−	0.273718i
$75$	3.82813	−	7.76823i	0.442034	−	0.896998i
$76$	3.38134	−	2.75074i	0.387866	−	0.315531i
$77$	−7.57539	−	7.57539i	−0.863295	−	0.863295i
$78$	−4.91891	−	4.06712i	−0.556957	−	0.460510i
$79$	0.282184	+	0.775293i	0.0317481	+	0.0872273i	0.954554	−	0.298038i	$-0.0963322\pi$
$79$	0.282184	+	0.775293i	0.0317481	+	0.0872273i	−0.922806	+	0.385265i	$0.874110\pi$
$80$	−0.129665	+	2.23231i	−0.0144970	+	0.249579i
$81$	1.30547	−	8.90482i	0.145052	−	0.989424i
$82$	−5.00448	+	2.33363i	−0.552652	+	0.257706i
$83$	5.94152	+	1.59202i	0.652166	+	0.174747i	0.569708	−	0.821847i	$-0.307056\pi$
$83$	5.94152	+	1.59202i	0.652166	+	0.174747i	0.0824581	+	0.996595i	$0.473723\pi$
$84$	−1.00107	−	3.63065i	−0.109225	−	0.396137i
$85$	1.57075	+	0.520217i	0.170372	+	0.0564254i
$86$	0.943285	+	1.12416i	0.101717	+	0.121222i
$87$	11.6968	+	6.64070i	1.25403	+	0.711957i
$88$	−1.27521	+	4.75914i	−0.135937	+	0.507326i
$89$	5.88303	+	2.14125i	0.623600	+	0.226972i	0.634443	−	0.772969i	$-0.281229\pi$
$89$	5.88303	+	2.14125i	0.623600	+	0.226972i	−0.0108432	+	0.999941i	$0.503452\pi$
$90$	6.19733	−	2.56771i	0.653255	−	0.270661i
$91$	1.39136	+	7.89081i	0.145854	+	0.827181i
$92$	−7.62241	−	3.55439i	−0.794691	−	0.370571i
$93$	3.72513	−	4.50530i	0.386278	−	0.467178i
$94$		−	3.41832i		−	0.352573i
$95$	−0.985686	−	9.69683i	−0.101129	−	0.994873i
$96$	−1.21584	+	1.23358i	−0.124092	+	0.125902i
$97$	−2.02829	+	0.177453i	−0.205942	+	0.0180176i	−0.189660	−	0.981850i	$-0.560739\pi$
$97$	−2.02829	+	0.177453i	−0.205942	+	0.0180176i	−0.0162820	+	0.999867i	$0.505183\pi$
$98$	0.960219	−	2.05920i	0.0969968	−	0.208010i
$99$	14.5178	−	2.77726i	1.45909	−	0.279125i
$100$	4.01155	+	2.98453i	0.401155	+	0.298453i
$101$	−6.05245	+	16.6290i	−0.602241	+	1.65464i	0.144482	+	0.989507i	$0.453848\pi$
$101$	−6.05245	+	16.6290i	−0.602241	+	1.65464i	−0.746723	+	0.665136i	$0.768374\pi$
$102$	0.648867	+	1.10531i	0.0642474	+	0.109442i
$103$	−7.50097	+	2.00988i	−0.739092	+	0.198039i	−0.608675	−	0.793420i	$-0.708299\pi$
$103$	−7.50097	+	2.00988i	−0.739092	+	0.198039i	−0.130418	+	0.991459i	$0.541632\pi$
$104$	2.82285	−	2.36866i	0.276804	−	0.232266i
$105$	−8.01327	−	2.58967i	−0.782015	−	0.252726i
$106$	1.09077	−	1.88927i	0.105945	−	0.183502i
$107$	3.45627	−	12.8990i	0.334130	−	1.24699i	−0.570679	−	0.821173i	$-0.693320\pi$
$107$	3.45627	−	12.8990i	0.334130	−	1.24699i	0.904809	−	0.425818i	$-0.140014\pi$
$108$	4.92024	+	1.67070i	0.473450	+	0.160763i
$109$	6.16747	+	1.08749i	0.590736	+	0.104163i	0.461022	−	0.887389i	$-0.347483\pi$
$109$	6.16747	+	1.08749i	0.590736	+	0.104163i	0.129714	+	0.991551i	$0.458594\pi$
$110$	7.32545	+	8.22894i	0.698454	+	0.784598i
$111$	−5.76954	−	2.63969i	−0.547621	−	0.250548i
$112$	2.16611	−	0.189510i	0.204678	−	0.0179070i
$113$	−11.5052	+	11.5052i	−1.08231	+	1.08231i	−0.0860203	+	0.996293i	$0.527415\pi$
$113$	−11.5052	+	11.5052i	−1.08231	+	1.08231i	−0.996293	+	0.0860203i	$0.972585\pi$
$114$	4.37955	−	6.14976i	0.410182	−	0.575978i
$115$	−16.0047	+	9.87535i	−1.49245	+	0.920881i
$116$	−4.99165	+	5.94881i	−0.463463	+	0.552333i
$117$	−10.0858	−	4.52642i	−0.932430	−	0.418467i
$118$	−0.194729	+	0.278102i	−0.0179262	+	0.0256013i
$119$	0.279401	−	1.58456i	0.0256127	−	0.145257i
$120$	0.811227	+	3.78707i	0.0740546	+	0.345711i
$121$	6.63776	+	11.4969i	0.603433	+	1.04518i
$122$	−12.0818	+	3.23732i	−1.09384	+	0.293093i
$123$	−7.28181	+	6.20057i	−0.656578	+	0.559087i
$124$	2.16949	+	2.58549i	0.194826	+	0.232184i
$125$	10.5043	−	3.82885i	0.939531	−	0.342463i
$126$	−3.34305	−	5.60138i	−0.297822	−	0.499010i
$127$	6.89262	−	3.21408i	0.611621	−	0.285204i	−0.0920221	−	0.995757i	$-0.529333\pi$
$127$	6.89262	−	3.21408i	0.611621	−	0.285204i	0.703643	+	0.710553i	$0.251555\pi$
$128$	−0.573576	−	0.819152i	−0.0506975	−	0.0724035i
$129$	2.09260	+	1.44278i	0.184243	+	0.127030i
$130$	−0.957874	−	8.18399i	−0.0840111	−	0.717783i
$131$	−8.40466	+	10.0163i	−0.734319	+	0.875127i	−0.995938	−	0.0900444i	$-0.971299\pi$
$131$	−8.40466	+	10.0163i	−0.734319	+	0.875127i	0.261619	+	0.965171i	$0.415744\pi$
$132$	0.0617994	+	8.53362i	0.00537895	+	0.742757i
$133$	−9.19120	+	2.31354i	−0.796978	+	0.200609i
$134$	−2.77017			−0.239306
$135$	9.16578	−	7.14062i	0.788865	−	0.614567i
$136$	−0.695358	+	0.253090i	−0.0596265	+	0.0217023i
$137$	6.68466	−	9.54668i	0.571109	−	0.815628i	−0.424866	−	0.905256i	$-0.639679\pi$
$137$	6.68466	−	9.54668i	0.571109	−	0.815628i	0.995975	+	0.0896279i	$0.0285678\pi$
$138$	−14.3639	−	2.42562i	−1.22273	−	0.206483i
$139$	0.0511906	−	0.140645i	0.00434193	−	0.0119294i	−0.937503	−	0.347978i	$-0.886868\pi$
$139$	0.0511906	−	0.140645i	0.00434193	−	0.0119294i	0.941845	+	0.336049i	$0.109091\pi$
$140$	2.30686	−	4.27996i	0.194966	−	0.361722i
$141$	−1.57377	−	5.70772i	−0.132535	−	0.480676i
$142$	−1.30366	+	14.9009i	−0.109401	+	1.25045i
$143$	1.58239	−	18.0869i	0.132326	−	1.51250i
$144$	−1.46221	+	2.61953i	−0.121851	+	0.218294i
$145$	4.98280	+	16.6342i	0.413799	+	1.38139i
$146$	−2.61220	+	7.17697i	−0.216188	+	0.593970i
$147$	0.655282	−	3.88040i	0.0540467	−	0.320050i
$148$	2.10109	−	3.00066i	0.172708	−	0.246653i
$149$	9.66268	−	3.51693i	0.791598	−	0.288118i	0.0855977	−	0.996330i	$-0.472720\pi$
$149$	9.66268	−	3.51693i	0.791598	−	0.288118i	0.706000	+	0.708212i	$0.250498\pi$
$150$	8.07232	+	3.13652i	0.659102	+	0.256095i
$151$	9.44372			0.768519			0.384260	−	0.923225i	$-0.374457\pi$
$151$	9.44372			0.768519			0.384260	+	0.923225i	$0.374457\pi$
$152$	3.03497	+	3.12873i	0.246169	+	0.253773i
$153$	1.59231	+	1.54685i	0.128731	+	0.125055i
$154$	6.88632	−	8.20680i	0.554916	−	0.661323i
$155$	7.49584	−	0.877331i	0.602080	−	0.0704689i
$156$	3.62293	−	5.25466i	0.290067	−	0.420710i
$157$	9.78069	+	13.9683i	0.780584	+	1.11479i	0.990560	+	0.137083i	$0.0437728\pi$
$157$	9.78069	+	13.9683i	0.780584	+	1.11479i	−0.209975	+	0.977707i	$0.567338\pi$
$158$	−0.747749	+	0.348681i	−0.0594877	+	0.0277396i
$159$	0.951504	−	3.65678i	0.0754592	−	0.290002i
$160$	−2.23511	+	0.0653865i	−0.176701	+	0.00516926i
$161$	11.7549	+	14.0090i	0.926418	+	1.10406i
$162$	8.98471	+	0.524398i	0.705905	+	0.0412006i
$163$	19.8976	−	5.33155i	1.55850	−	0.417599i	0.626312	−	0.779572i	$-0.284564\pi$
$163$	19.8976	−	5.33155i	1.55850	−	0.417599i	0.932188	+	0.361973i	$0.117897\pi$
$164$	−2.76091	−	4.78204i	−0.215591	−	0.373415i
$165$	16.0201	+	10.3676i	1.24717	+	0.807119i
$166$	−1.06813	+	6.05766i	−0.0829029	+	0.470166i
$167$	12.3728	−	17.6701i	0.957433	−	1.36736i	0.0275017	−	0.999622i	$-0.491245\pi$
$167$	12.3728	−	17.6701i	0.957433	−	1.36736i	0.929931	−	0.367734i	$-0.119866\pi$
$168$	3.52959	−	1.31369i	0.272314	−	0.101353i
$169$	−0.372199	+	0.443569i	−0.0286307	+	0.0341207i
$170$	−0.381337	+	1.61011i	−0.0292472	+	0.123490i
$171$	4.48142	−	12.2848i	0.342703	−	0.939444i
$172$	−1.03767	+	1.03767i	−0.0791218	+	0.0791218i
$173$	−21.0791	+	1.84418i	−1.60262	+	0.140211i	−0.853090	−	0.521764i	$-0.825274\pi$
$173$	−21.0791	+	1.84418i	−1.60262	+	0.140211i	−0.749526	+	0.661975i	$0.769719\pi$
$174$	−5.59598	+	12.2311i	−0.424230	+	0.927237i
$175$	−5.16281	−	9.56784i	−0.390272	−	0.723261i
$176$	−4.85217	−	0.855568i	−0.365746	−	0.0644909i
$177$	−0.197111	+	0.554010i	−0.0148158	+	0.0416419i
$178$	−1.62036	+	6.04727i	−0.121451	+	0.453262i
$179$	−1.45030	+	2.51200i	−0.108401	+	0.187756i	−0.915123	−	0.403176i	$-0.867906\pi$
$179$	−1.45030	+	2.51200i	−0.108401	+	0.187756i	0.806722	+	0.590932i	$0.201240\pi$
$180$	3.09808	+	5.94995i	0.230917	+	0.443483i
$181$	−0.641113	+	0.537958i	−0.0476536	+	0.0399861i	−0.666303	−	0.745681i	$-0.732124\pi$
$181$	−0.641113	+	0.537958i	−0.0476536	+	0.0399861i	0.618650	+	0.785667i	$0.287680\pi$
$182$	−7.73951	+	2.07380i	−0.573691	+	0.153720i
$183$	−18.6831	+	10.9679i	−1.38110	+	0.810768i
$184$	2.87653	−	7.90319i	0.212060	−	0.582631i
$185$	−3.02537	−	7.61182i	−0.222429	−	0.559632i
$186$	4.81283	+	3.31830i	0.352893	+	0.243309i
$187$	−1.54083	+	3.30432i	−0.112677	+	0.241636i
$188$	3.40531	−	0.297926i	0.248358	−	0.0217285i
$189$	−8.16085	−	7.81374i	−0.593614	−	0.568366i
$190$	9.57402	−	1.82707i	0.694572	−	0.132550i
$191$		−	10.3808i		−	0.751128i	−0.926796	−	0.375564i	$-0.877449\pi$
$191$		−	10.3808i		−	0.751128i	0.926796	−	0.375564i	$-0.122551\pi$
$192$	−1.33486	−	1.10370i	−0.0963349	−	0.0796529i
$193$	24.0316	+	11.2061i	1.72983	+	0.806633i	0.991177	+	0.132547i	$0.0423155\pi$
$193$	24.0316	+	11.2061i	1.72983	+	0.806633i	0.738653	+	0.674086i	$0.235462\pi$
$194$	−0.353555	−	2.00511i	−0.0253837	−	0.143958i
$195$	−5.36724	−	13.2242i	−0.384356	−	0.947001i
$196$	2.13505	+	0.777094i	0.152504	+	0.0555067i
$197$	−3.94202	+	14.7118i	−0.280857	+	1.04817i	0.670956	+	0.741497i	$0.265884\pi$
$197$	−3.94202	+	14.7118i	−0.280857	+	1.04817i	−0.951814	+	0.306677i	$0.900783\pi$
$198$	4.03200	+	14.2205i	0.286542	+	1.01061i
$199$	−10.6649	−	12.7099i	−0.756013	−	0.900981i	0.241576	−	0.970382i	$-0.422336\pi$
$199$	−10.6649	−	12.7099i	−0.756013	−	0.900981i	−0.997589	+	0.0694006i	$0.977891\pi$
$200$	−2.62355	+	4.25641i	−0.185513	+	0.300973i
$201$	−4.62546	+	1.27536i	−0.326255	+	0.0899570i
$202$	−17.0932	−	4.58010i	−1.20267	−	0.322255i
$203$	15.3034	−	7.13608i	1.07409	−	0.500855i
$204$	−1.04455	+	0.742731i	−0.0731330	+	0.0520016i
$205$	−12.3264	−	0.715989i	−0.860914	−	0.0500068i
$206$	−2.65598	−	7.29725i	−0.185051	−	0.508424i
$207$	−25.1007	+	2.56285i	−1.74462	+	0.178130i
$208$	2.60567	+	2.60567i	0.180671	+	0.180671i
$209$	21.4739	+	0.326641i	1.48538	+	0.0225942i
$210$	1.88141	−	8.20848i	0.129830	−	0.566439i
$211$	−13.8056	−	11.5843i	−0.950419	−	0.797497i	0.0289487	−	0.999581i	$-0.490784\pi$
$211$	−13.8056	−	11.5843i	−0.950419	−	0.797497i	−0.979368	+	0.202084i	$0.935228\pi$
$212$	1.97715	+	0.921961i	0.135791	+	0.0633205i
$213$	4.68347	+	25.4808i	0.320906	+	1.74592i
$214$	13.1511	+	2.31890i	0.898993	+	0.158517i
$215$	0.664063	+	3.21351i	0.0452887	+	0.219160i
$216$	−1.23551	+	5.04713i	−0.0840660	+	0.343414i
$217$	−1.89942	−	7.08874i	−0.128941	−	0.481215i
$218$	−0.545823	+	6.23878i	−0.0369678	+	0.422544i
$219$	−1.05749	+	13.1863i	−0.0714586	+	0.891050i
$220$	−7.55917	+	8.01477i	−0.509639	+	0.540356i
$221$	2.36150	−	1.36341i	0.158852	−	0.0917130i
$222$	2.12679	−	5.97765i	0.142741	−	0.401194i
$223$	−13.0133	+	9.11200i	−0.871434	+	0.610185i	−0.921421	−	0.388565i	$-0.872971\pi$
$223$	−13.0133	+	9.11200i	−0.871434	+	0.610185i	0.0499869	+	0.998750i	$0.484082\pi$
$224$	0.377577	+	2.14135i	0.0252279	+	0.143075i
$225$	14.9227	+	1.52075i	0.994847	+	0.101383i
$226$	−12.4641	−	10.4586i	−0.829100	−	0.695698i
$227$	−0.303702	−	0.303702i	−0.0201574	−	0.0201574i	0.696956	−	0.717114i	$-0.254537\pi$
$227$	−0.303702	−	0.303702i	−0.0201574	−	0.0201574i	−0.717114	+	0.696956i	$0.754537\pi$
$228$	6.50806	+	3.82690i	0.431007	+	0.253442i
$229$		−	22.3564i		−	1.47735i	−0.674060	−	0.738677i	$-0.735451\pi$
$229$		−	22.3564i		−	1.47735i	0.674060	−	0.738677i	$-0.264549\pi$
$230$	−11.2327	−	15.0831i	−0.740660	−	0.994553i
$231$	7.72004	−	16.8736i	0.507941	−	1.11020i
$232$	−6.36123	−	4.45418i	−0.417635	−	0.292431i
$233$	−1.31280	−	1.87488i	−0.0860047	−	0.122827i	0.773844	−	0.633376i	$-0.218331\pi$
$233$	−1.31280	−	1.87488i	−0.0860047	−	0.122827i	−0.859849	+	0.510548i	$0.829442\pi$
$234$	3.63016	−	10.4419i	0.237311	−	0.682608i
$235$	3.62660	−	6.72848i	0.236573	−	0.438917i
$236$	−0.294015	−	0.169750i	−0.0191388	−	0.0110498i
$237$	−1.08802	+	0.926465i	−0.0706744	+	0.0601804i
$238$	1.60288	+	0.140234i	0.103900	+	0.00909004i
$239$	5.28097	−	9.14691i	0.341598	−	0.591664i	−0.643132	−	0.765755i	$-0.722365\pi$
$239$	5.28097	−	9.14691i	0.341598	−	0.591664i	0.984730	+	0.174091i	$0.0556987\pi$
$240$	−3.70196	+	1.13821i	−0.238960	+	0.0734708i
$241$	−5.03504	−	1.83260i	−0.324335	−	0.118048i	0.174721	−	0.984618i	$-0.444098\pi$
$241$	−5.03504	−	1.83260i	−0.324335	−	0.118048i	−0.499056	+	0.866570i	$0.666320\pi$
$242$	−10.8747	+	7.61453i	−0.699050	+	0.489480i
$243$	15.2436	−	3.26087i	0.977876	−	0.209185i
$244$	−4.27800	−	11.7537i	−0.273871	−	0.752455i
$245$	4.07472	−	3.03451i	0.260324	−	0.193868i
$246$	−6.81163	−	6.71368i	−0.434294	−	0.428049i
$247$	−13.0159	−	9.41208i	−0.828184	−	0.598877i
$248$	−2.38657	+	2.38657i	−0.151548	+	0.151548i
$249$	1.00540	+	10.6065i	0.0637144	+	0.672159i
$250$	4.72979	+	10.1306i	0.299138	+	0.640715i
$251$	−17.1205	+	3.01881i	−1.08064	+	0.190546i	−0.685497	−	0.728075i	$-0.740415\pi$
$251$	−17.1205	+	3.01881i	−1.08064	+	0.190546i	−0.395140	+	0.918621i	$0.629304\pi$
$252$	5.28869	−	3.81852i	0.333156	−	0.240544i
$253$	−17.5125	−	37.5558i	−1.10100	−	2.36111i
$254$	3.80258	+	6.58627i	0.238595	+	0.413259i
$255$	0.104549	+	2.86404i	0.00654708	+	0.179353i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−22.9823	−	2.01069i	−1.43360	−	0.125423i	−0.656272	−	0.754524i	$-0.727868\pi$
$257$	−22.9823	−	2.01069i	−1.43360	−	0.125423i	−0.777323	+	0.629101i	$0.783423\pi$
$258$	−1.25491	+	2.21038i	−0.0781273	+	0.137612i
$259$	−6.89792	+	3.98252i	−0.428616	+	0.247462i
$260$	8.06936	−	1.66751i	0.500441	−	0.103415i
$261$	−3.71275	+	22.9991i	−0.229814	+	1.42361i
$262$	−10.7107	−	7.49970i	−0.661708	−	0.463333i
$263$	2.15675	−	4.62517i	0.132991	−	0.285200i	−0.828524	−	0.559954i	$-0.810819\pi$
$263$	2.15675	−	4.62517i	0.132991	−	0.285200i	0.961514	+	0.274754i	$0.0885965\pi$
$264$	−8.49577	+	0.805319i	−0.522878	+	0.0495639i
$265$	4.15142	−	2.56153i	0.255019	−	0.157354i
$266$	−3.10580	−	8.95459i	−0.190429	−	0.549041i
$267$	0.0785264	+	10.8434i	0.00480574	+	0.663604i
$268$	−0.241436	−	2.75962i	−0.0147480	−	0.168571i
$269$	−13.5207	+	4.92112i	−0.824369	+	0.300046i	−0.719546	−	0.694445i	$-0.755650\pi$
$269$	−13.5207	+	4.92112i	−0.824369	+	0.300046i	−0.104823	+	0.994491i	$0.533428\pi$
$270$	7.91230	+	8.50856i	0.481527	+	0.517814i
$271$	3.77824	−	21.4274i	0.229512	−	1.30162i	−0.624358	−	0.781138i	$-0.714639\pi$
$271$	3.77824	−	21.4274i	0.229512	−	1.30162i	0.853870	−	0.520487i	$-0.174249\pi$
$272$	−0.312731	−	0.670654i	−0.0189621	−	0.0406644i
$273$	−11.9682	+	7.02591i	−0.724351	+	0.425228i
$274$	10.0930	+	5.82717i	0.609738	+	0.352032i
$275$	5.68878	+	23.9693i	0.343046	+	1.44540i
$276$	1.16450	−	14.5206i	0.0700944	−	0.874039i
$277$	−7.35963	−	27.4665i	−0.442197	−	1.65030i	−0.723232	−	0.690605i	$-0.757345\pi$
$277$	−7.35963	−	27.4665i	−0.442197	−	1.65030i	0.281035	−	0.959697i	$-0.409322\pi$
$278$	0.144571	+	0.0387378i	0.00867082	+	0.00232334i
$279$	9.56389	+	3.32492i	0.572575	+	0.199057i
$280$	4.46473	+	1.92506i	0.266818	+	0.115045i
$281$	−3.50659	+	0.618307i	−0.209186	+	0.0368851i	−0.277259	−	0.960795i	$-0.589426\pi$
$281$	−3.50659	+	0.618307i	−0.209186	+	0.0368851i	0.0680731	+	0.997680i	$0.478315\pi$
$282$	5.54883	−	2.06524i	0.330428	−	0.122983i
$283$	−0.560398	−	6.40538i	−0.0333122	−	0.380760i	−0.994490	−	0.104831i	$-0.966570\pi$
$283$	−0.560398	−	6.40538i	−0.0333122	−	0.380760i	0.961178	−	0.275929i	$-0.0889856\pi$
$284$	−14.9578			−0.887582
$285$	15.1450	−	7.45853i	0.897111	−	0.441805i
$286$	18.1559			1.07358
$287$	1.04644	+	11.9609i	0.0617694	+	0.706028i
$288$	−2.73700	−	1.22834i	−0.161279	−	0.0723808i
$289$	16.2025	−	2.85693i	0.953087	−	0.168055i
$290$	−16.1366	+	6.41360i	−0.947574	+	0.376620i
$291$	−1.51348	−	3.18524i	−0.0887218	−	0.186722i
$292$	−7.37733	−	1.97675i	−0.431726	−	0.115681i
$293$	1.21842	+	4.54721i	0.0711809	+	0.265651i	0.992340	−	0.123535i	$-0.0394231\pi$
$293$	1.21842	+	4.54721i	0.0711809	+	0.265651i	−0.921159	+	0.389186i	$0.872756\pi$
$294$	3.92275	+	0.314589i	0.228779	+	0.0183472i
$295$	−0.678342	+	0.340810i	−0.0394946	+	0.0198427i
$296$	3.17236	+	1.83157i	0.184390	+	0.106458i
$297$	13.2794	+	21.8883i	0.770549	+	1.27009i
$298$	4.34570	+	9.31939i	0.251740	+	0.539858i
$299$	−5.38173	+	30.5213i	−0.311233	+	1.76509i
$300$	−2.42103	+	8.31496i	−0.139778	+	0.480065i
$301$	2.99845	−	1.09135i	0.172828	−	0.0629041i
$302$	0.823075	+	9.40779i	0.0473626	+	0.541357i
$303$	−30.6499	+	0.221962i	−1.76079	+	0.0127514i
$304$	−2.85231	+	3.29611i	−0.163591	+	0.189045i
$305$	−27.2159	−	6.44578i	−1.55838	−	0.369084i
$306$	−1.40218	+	1.72107i	−0.0801573	+	0.0983871i
$307$	−2.70925	+	5.81000i	−0.154625	+	0.331594i	−0.968326	−	0.249689i	$-0.919671\pi$
$307$	−2.70925	+	5.81000i	−0.154625	+	0.331594i	0.813701	+	0.581283i	$0.197449\pi$
$308$	8.77575	+	6.14485i	0.500045	+	0.350135i
$309$	−7.79440	−	10.9617i	−0.443408	−	0.623592i
$310$	1.52730	+	7.39085i	0.0867447	+	0.419772i
$311$	23.3376	−	13.4740i	1.32336	−	0.764040i	0.339093	−	0.940753i	$-0.389880\pi$
$311$	23.3376	−	13.4740i	1.32336	−	0.764040i	0.984262	+	0.176713i	$0.0565464\pi$
$312$	5.55043	+	3.15117i	0.314231	+	0.178400i
$313$	19.8176	+	1.73381i	1.12016	+	0.0980009i	0.632155	−	0.774842i	$-0.282171\pi$
$313$	19.8176	+	1.73381i	1.12016	+	0.0980009i	0.488001	+	0.872843i	$0.337726\pi$
$314$	−13.0627	+	10.9609i	−0.737170	+	0.618559i
$315$	−0.637642	−	14.5722i	−0.0359270	−	0.821053i
$316$	−0.412525	−	0.714514i	−0.0232063	−	0.0401945i
$317$	−4.22106	−	9.05208i	−0.237078	−	0.508416i	0.751387	−	0.659861i	$-0.229385\pi$
$317$	−4.22106	−	9.05208i	−0.237078	−	0.508416i	−0.988466	+	0.151446i	$0.951607\pi$
$318$	3.72580	+	0.629173i	0.208932	+	0.0352823i
$319$	−37.6801	+	6.64402i	−2.10968	+	0.371994i
$320$	−0.259941	−	2.22091i	−0.0145311	−	0.124153i
$321$	23.0266	−	2.18270i	1.28522	−	0.121827i
$322$	−12.9312	+	12.9312i	−0.720625	+	0.720625i
$323$	1.80968	+	2.67002i	0.100693	+	0.148564i
$324$	0.260666	+	8.99622i	0.0144815	+	0.499790i
$325$	6.79720	−	17.1252i	0.377041	−	0.949938i
$326$	7.04545	+	19.3572i	0.390211	+	1.07210i
$327$	1.96090	+	10.6685i	0.108438	+	0.589967i
$328$	4.52322	−	3.16719i	0.249753	−	0.174879i
$329$	−6.98448	−	2.54214i	−0.385067	−	0.140153i
$330$	−8.93193	+	16.8628i	−0.491687	+	0.928266i
$331$	−2.35556	+	4.07995i	−0.129473	+	0.224254i	−0.923473	−	0.383664i	$-0.874662\pi$
$331$	−2.35556	+	4.07995i	−0.129473	+	0.224254i	0.793999	+	0.607919i	$0.207995\pi$
$332$	−6.12770	−	0.536105i	−0.336301	−	0.0294226i
$333$	0.799134	−	10.9603i	0.0437923	−	0.600621i
$334$	18.6812	+	10.7856i	1.02219	+	0.590163i
$335$	−5.45267	−	2.93895i	−0.297911	−	0.160572i
$336$	1.61631	+	3.40166i	0.0881772	+	0.185576i
$337$	−2.57113	−	3.67196i	−0.140058	−	0.200024i	0.742995	−	0.669297i	$-0.233405\pi$
$337$	−2.57113	−	3.67196i	−0.140058	−	0.200024i	−0.883053	+	0.469273i	$0.844516\pi$
$338$	−0.474321	−	0.332123i	−0.0257996	−	0.0180651i
$339$	−25.6269	−	11.7248i	−1.39186	−	0.636806i
$340$	−1.63722	−	0.239555i	−0.0887909	−	0.0129917i
$341$			16.6293i			0.900527i
$342$	12.6287	+	3.39367i	0.682880	+	0.183509i
$343$	−14.2560	−	14.2560i	−0.769751	−	0.769751i
$344$	−1.12416	−	0.943285i	−0.0606108	−	0.0508585i
$345$	−25.6998	−	20.0135i	−1.38363	−	1.07749i
$346$	−3.67433	−	20.8382i	−0.197533	−	1.12027i
$347$	19.3340	−	13.5378i	1.03790	−	0.726749i	0.0751629	−	0.997171i	$-0.476052\pi$
$347$	19.3340	−	13.5378i	1.03790	−	0.726749i	0.962742	+	0.270423i	$0.0871634\pi$
$348$	−12.6723	−	4.50868i	−0.679305	−	0.241690i
$349$	−29.2783	+	16.9038i	−1.56723	+	0.904841i	−0.570740	+	0.821131i	$0.693344\pi$
$349$	−29.2783	+	16.9038i	−1.56723	+	0.904841i	−0.996490	+	0.0837099i	$0.973323\pi$
$350$	9.08146	−	5.97706i	0.485425	−	0.319487i
$351$	1.25406	−	19.1066i	0.0669370	−	1.01983i
$352$	0.429418	−	4.90827i	0.0228881	−	0.261612i
$353$	−6.62121	−	24.7107i	−0.352412	−	1.31522i	−0.883711	−	0.468034i	$-0.844963\pi$
$353$	−6.62121	−	24.7107i	−0.352412	−	1.31522i	0.531299	−	0.847184i	$-0.321704\pi$
$354$	−0.569081	−	0.148076i	−0.0302463	−	0.00787016i
$355$	−18.3749	+	27.9472i	−0.975236	+	1.48328i
$356$	−6.16548	−	1.08714i	−0.326770	−	0.0576183i
$357$	2.74097	−	0.503800i	0.145067	−	0.0266639i
$358$	−2.62884	−	1.22585i	−0.138939	−	0.0647882i
$359$	13.9345	+	11.6924i	0.735435	+	0.617103i	0.931607	−	0.363466i	$-0.118407\pi$
$359$	13.9345	+	11.6924i	0.735435	+	0.617103i	−0.196173	+	0.980569i	$0.562851\pi$
$360$	−5.65730	+	3.60486i	−0.298166	+	0.189993i
$361$	9.99607	−	16.1579i	0.526109	−	0.850417i
$362$	−0.591788	−	0.591788i	−0.0311037	−	0.0311037i
$363$	−14.6522	+	17.7209i	−0.769043	+	0.930106i
$364$	−2.74045	−	7.52932i	−0.143639	−	0.394644i
$365$	−12.7560	+	11.3555i	−0.667680	+	0.594373i
$366$	−12.5545	−	17.6561i	−0.656233	−	0.922900i
$367$	19.9351	−	9.29587i	1.04060	−	0.485240i	0.174264	−	0.984699i	$-0.444245\pi$
$367$	19.9351	−	9.29587i	1.04060	−	0.485240i	0.866338	+	0.499459i	$0.166468\pi$
$368$	8.12382	+	2.17677i	0.423484	+	0.113472i
$369$	−14.4646	−	8.07410i	−0.752996	−	0.420321i
$370$	7.31917	−	3.67727i	0.380506	−	0.191172i
$371$	−3.04907	−	3.63374i	−0.158300	−	0.188654i
$372$	−2.88620	+	5.08372i	−0.149643	+	0.263579i
$373$	−4.85967	+	18.1365i	−0.251624	+	0.939073i	0.718314	+	0.695719i	$0.244914\pi$
$373$	−4.85967	+	18.1365i	−0.251624	+	0.939073i	−0.969938	+	0.243354i	$0.921752\pi$
$374$	−3.42604	−	1.24698i	−0.177156	−	0.0644797i
$375$	12.5616	+	14.7379i	0.648677	+	0.761064i
$376$	0.593585	+	3.36639i	0.0306118	+	0.173608i
$377$	25.9350	+	12.0937i	1.33572	+	0.622857i
$378$	7.07274	−	8.81081i	0.363783	−	0.453179i
$379$		−	23.3489i		−	1.19935i	−0.800243	−	0.599675i	$-0.795296\pi$
$379$		−	23.3489i		−	1.19935i	0.800243	−	0.599675i	$-0.204704\pi$
$380$	2.65455	+	9.37835i	0.136175	+	0.481099i
$381$	9.38160	+	9.24669i	0.480634	+	0.473722i
$382$	10.3413	−	0.904746i	0.529106	−	0.0462908i
$383$	10.1940	−	21.8611i	0.520890	−	1.11705i	−0.453308	−	0.891354i	$-0.649756\pi$
$383$	10.1940	−	21.8611i	0.520890	−	1.11705i	0.974197	−	0.225697i	$-0.0724660\pi$
$384$	0.983163	−	1.42597i	0.0501718	−	0.0727687i
$385$	22.2616	−	8.84800i	1.13455	−	0.450936i
$386$	−9.06897	+	24.9168i	−0.461598	+	1.26823i
$387$	−1.07774	+	4.26852i	−0.0547844	+	0.216981i
$388$	1.96666	−	0.526966i	0.0998422	−	0.0267526i
$389$	4.29805	−	3.60649i	0.217920	−	0.182856i	−0.527292	−	0.849684i	$-0.676793\pi$
$389$	4.29805	−	3.60649i	0.217920	−	0.182856i	0.745212	+	0.666828i	$0.232348\pi$
$390$	12.7060	−	6.49938i	0.643396	−	0.329109i
$391$	3.11178	−	5.38977i	0.157370	−	0.272572i
$392$	−0.588055	+	2.19465i	−0.0297013	+	0.110847i
$393$	−21.3369	−	7.59146i	−1.07630	−	0.382939i
$394$	−14.9994	−	2.64480i	−0.755660	−	0.133243i
$395$	−1.84176	−	0.106980i	−0.0926691	−	0.00538276i
$396$	−13.8150	+	5.25605i	−0.694229	+	0.264127i
$397$	27.0067	−	2.36278i	1.35543	−	0.118585i	0.613835	−	0.789435i	$-0.289626\pi$
$397$	27.0067	−	2.36278i	1.35543	−	0.118585i	0.741593	+	0.670850i	$0.234071\pi$
$398$	11.7320	−	11.7320i	0.588074	−	0.588074i
$399$	−9.30850	−	13.5220i	−0.466008	−	0.676945i
$400$	−4.46887	−	2.24259i	−0.223443	−	0.112130i
$401$	−4.52854	+	5.39691i	−0.226145	+	0.269509i	−0.867171	−	0.498010i	$-0.834064\pi$
$401$	−4.52854	+	5.39691i	−0.226145	+	0.269509i	0.641027	+	0.767519i	$0.278509\pi$
$402$	−1.67364	−	4.49671i	−0.0834737	−	0.224275i
$403$	7.13371	−	10.1880i	0.355355	−	0.507500i
$404$	3.07291	−	17.4273i	0.152883	−	0.867042i
$405$	17.1288	+	10.5643i	0.851135	+	0.524947i
$406$	8.44271	+	14.6232i	0.419005	+	0.725737i
$407$	17.4333	−	4.67125i	0.864138	−	0.231545i
$408$	−0.830944	−	0.975840i	−0.0411378	−	0.0483113i
$409$	15.7306	+	18.7470i	0.777830	+	0.926982i	0.998833	−	0.0482913i	$-0.0153776\pi$
$409$	15.7306	+	18.7470i	0.777830	+	0.926982i	−0.221003	+	0.975273i	$0.570933\pi$
$410$	−0.361053	−	12.3419i	−0.0178311	−	0.609523i
$411$	19.5354	+	5.08317i	0.963612	+	0.250734i
$412$	7.03800	−	3.28187i	0.346737	−	0.161686i
$413$	0.423415	+	0.604699i	0.0208349	+	0.0297553i
$414$	−4.74077	−	24.7818i	−0.232996	−	1.21796i
$415$	−8.52921	+	10.7904i	−0.418682	+	0.529681i
$416$	−2.36866	+	2.82285i	−0.116133	+	0.138402i
$417$	0.259232	−	0.00187732i	0.0126946	−	9.19329e-5i
$418$	1.54618	+	21.4207i	0.0756259	+	1.04772i
$419$	17.9196			0.875428			0.437714	−	0.899114i	$-0.355788\pi$
$419$	17.9196			0.875428			0.437714	+	0.899114i	$0.355788\pi$
$420$	8.34122	+	1.15884i	0.407010	+	0.0565455i
$421$	−26.5640	+	9.66852i	−1.29465	+	0.471215i	−0.895251	−	0.445562i	$-0.853004\pi$
$421$	−26.5640	+	9.66852i	−1.29465	+	0.471215i	−0.399401	+	0.916776i	$0.630782\pi$
$422$	10.3370	−	14.7627i	0.503197	−	0.718639i
$423$	8.31430	−	6.00305i	0.404255	−	0.291878i
$424$	−0.746132	+	2.04998i	−0.0362354	+	0.0995559i
$425$	−2.45882	+	2.76471i	−0.119271	+	0.134108i
$426$	−24.9757	+	6.88645i	−1.21008	+	0.333649i
$427$	−2.37040	+	27.0937i	−0.114711	+	1.31116i
$428$	−1.16388	+	13.3032i	−0.0562582	+	0.643034i
$429$	30.3157	−	8.35884i	1.46366	−	0.403569i
$430$	−3.14341	+	0.941613i	−0.151589	+	0.0454086i
$431$	8.63054	−	23.7122i	0.415718	−	1.14218i	−0.538385	−	0.842699i	$-0.680965\pi$
$431$	8.63054	−	23.7122i	0.415718	−	1.14218i	0.954103	−	0.299478i	$-0.0968124\pi$
$432$	−5.13560	−	0.790926i	−0.247087	−	0.0380534i
$433$	−1.52633	+	2.17983i	−0.0733510	+	0.104756i	−0.854151	−	0.520025i	$-0.825923\pi$
$433$	−1.52633	+	2.17983i	−0.0733510	+	0.104756i	0.780800	+	0.624781i	$0.214812\pi$
$434$	6.89622	−	2.51002i	0.331029	−	0.120485i
$435$	−23.9912	+	18.1382i	−1.15029	+	0.869661i
$436$	−6.26261			−0.299925
$437$	−36.4678	−	3.75022i	−1.74449	−	0.179397i
$438$	−13.2283	+	0.0957978i	−0.632073	+	0.00457740i
$439$	−18.7723	+	22.3719i	−0.895952	+	1.06775i	0.101386	+	0.994847i	$0.467672\pi$
$439$	−18.7723	+	22.3719i	−0.895952	+	1.06775i	−0.997339	+	0.0729073i	$0.976772\pi$
$440$	−8.64310	−	6.83187i	−0.412044	−	0.325697i
$441$	6.69482	−	1.28072i	0.318801	−	0.0609866i
$442$	1.56404	+	2.23368i	0.0743939	+	0.106246i
$443$	−4.87997	+	2.27557i	−0.231854	+	0.108115i	−0.535074	−	0.844805i	$-0.679716\pi$
$443$	−4.87997	+	2.27557i	−0.231854	+	0.108115i	0.303220	+	0.952921i	$0.401938\pi$
$444$	6.14027	+	1.59771i	0.291404	+	0.0758241i
$445$	−9.60517	+	10.1841i	−0.455329	+	0.482772i
$446$	−10.2115	−	12.1696i	−0.483529	−	0.576248i
$447$	11.5468	+	13.5603i	0.546144	+	0.641378i
$448$	−2.10029	+	0.562771i	−0.0992294	+	0.0265884i
$449$	6.57489	+	11.3880i	0.310288	+	0.537435i	0.978425	−	0.206604i	$-0.0662410\pi$
$449$	6.57489	+	11.3880i	0.310288	+	0.537435i	−0.668136	+	0.744039i	$0.732908\pi$
$450$	−0.214360	+	14.9985i	−0.0101050	+	0.707035i
$451$	4.72430	−	26.7928i	0.222459	−	1.26163i
$452$	9.33251	−	13.3282i	0.438965	−	0.626906i
$453$	5.70559	+	15.3296i	0.268072	+	0.720249i
$454$	0.276077	−	0.329016i	0.0129570	−	0.0154415i
$455$	−17.4343	−	4.12911i	−0.817332	−	0.193576i
$456$	−3.24512	+	6.81683i	−0.151967	+	0.319227i
$457$	6.99650	−	6.99650i	0.327283	−	0.327283i	−0.524270	−	0.851552i	$-0.675662\pi$
$457$	6.99650	−	6.99650i	0.327283	−	0.327283i	0.851552	+	0.524270i	$0.175662\pi$
$458$	22.2713	−	1.94849i	1.04067	−	0.0910470i
$459$	−1.54891	+	3.51930i	−0.0722970	+	0.164267i
$460$	14.0468	−	12.5045i	0.654934	−	0.583026i
$461$	−2.31685	−	0.408522i	−0.107906	−	0.0190268i	0.119434	−	0.992842i	$-0.461892\pi$
$461$	−2.31685	−	0.408522i	−0.107906	−	0.0190268i	−0.227341	+	0.973815i	$0.573003\pi$
$462$	17.4823	+	6.22003i	0.813349	+	0.289382i
$463$	10.2542	−	38.2691i	0.476551	−	1.77851i	−0.138864	−	0.990311i	$-0.544345\pi$
$463$	10.2542	−	38.2691i	0.476551	−	1.77851i	0.615416	−	0.788203i	$-0.288988\pi$
$464$	3.88281	−	6.72523i	0.180255	−	0.312211i
$465$	5.95288	+	11.6377i	0.276058	+	0.539683i
$466$	1.75333	−	1.47122i	0.0812213	−	0.0681528i
$467$	−22.9106	+	6.13887i	−1.06017	+	0.284073i	−0.746450	−	0.665441i	$-0.768243\pi$
$467$	−22.9106	+	6.13887i	−1.06017	+	0.284073i	−0.313724	+	0.949514i	$0.601577\pi$
$468$	10.7186	+	2.70627i	0.495465	+	0.125097i
$469$	−2.06012	+	5.66014i	−0.0951276	+	0.261361i
$470$	7.01895	+	3.02637i	0.323760	+	0.139596i
$471$	−16.7650	+	24.3158i	−0.772491	+	1.12041i
$472$	0.143479	−	0.307691i	0.00660414	−	0.0141626i
$473$	−7.20284	+	0.630167i	−0.331187	+	0.0289751i
$474$	−1.01777	−	1.00313i	−0.0467476	−	0.0460753i
$475$	20.7835	+	6.56103i	0.953611	+	0.301041i
$476$			1.60901i			0.0737487i
$477$	6.51079	−	0.664768i	0.298108	−	0.0304376i
$478$	9.57237	+	4.46367i	0.437830	+	0.204163i
$479$	0.354826	+	2.01232i	0.0162124	+	0.0919451i	0.991840	−	0.127486i	$-0.0406909\pi$
$479$	0.354826	+	2.01232i	0.0162124	+	0.0919451i	−0.975628	+	0.219431i	$0.929580\pi$
$480$	−1.45652	−	3.58867i	−0.0664808	−	0.163800i
$481$	−12.6845	−	4.61677i	−0.578363	−	0.210507i
$482$	1.38680	−	5.17560i	0.0631669	−	0.235742i
$483$	−15.6383	+	27.5451i	−0.711567	+	1.25334i
$484$	−8.53334	−	10.1696i	−0.387879	−	0.462256i
$485$	1.43136	−	4.32186i	0.0649946	−	0.196246i
$486$	4.57703	+	14.9014i	0.207618	+	0.675940i
$487$	19.8402	+	5.31616i	0.899045	+	0.240898i	0.678606	−	0.734502i	$-0.262584\pi$
$487$	19.8402	+	5.31616i	0.899045	+	0.240898i	0.220439	+	0.975401i	$0.429251\pi$
$488$	11.3361	−	5.28613i	0.513163	−	0.239292i
$489$	20.6760	+	29.0779i	0.935000	+	1.31495i
$490$	3.37810	+	3.79474i	0.152607	+	0.171429i
$491$	−3.53820	−	9.72113i	−0.159677	−	0.438708i	0.833894	−	0.551925i	$-0.186107\pi$
$491$	−3.53820	−	9.72113i	−0.159677	−	0.438708i	−0.993570	+	0.113217i	$0.963884\pi$
$492$	6.09446	−	7.37085i	0.274760	−	0.332303i
$493$	−4.06335	−	4.06335i	−0.183004	−	0.183004i
$494$	8.24186	−	13.7867i	0.370819	−	0.620294i
$495$	−7.15054	+	32.2687i	−0.321393	+	1.45037i
$496$	−2.58549	−	2.16949i	−0.116092	−	0.0974129i
$497$	29.4767	+	13.7452i	1.32221	+	0.616557i
$498$	−10.4785	+	1.92599i	−0.469553	+	0.0863055i
$499$	10.1905	+	1.79686i	0.456189	+	0.0804384i	0.397021	−	0.917810i	$-0.370044\pi$
$499$	10.1905	+	1.79686i	0.456189	+	0.0804384i	0.0591679	+	0.998248i	$0.481155\pi$
$500$	−9.67982	+	5.59473i	−0.432895	+	0.250204i
$501$	36.1585	+	9.40852i	1.61544	+	0.420342i
$502$	−4.49947	−	16.7923i	−0.200821	−	0.749476i
$503$	1.55828	−	17.8112i	0.0694803	−	0.794163i	−0.878895	−	0.477014i	$-0.841719\pi$
$503$	1.55828	−	17.8112i	0.0694803	−	0.794163i	0.948376	−	0.317149i	$-0.102726\pi$
$504$	4.26493	+	4.93576i	0.189975	+	0.219856i
$505$	−28.7863	−	27.1499i	−1.28097	−	1.20816i
$506$	35.8866	−	20.7191i	1.59535	−	0.921077i
$507$	−0.944900	−	0.336186i	−0.0419645	−	0.0149306i
$508$	−6.22979	+	4.36214i	−0.276402	+	0.193539i
$509$	−0.619879	−	3.51551i	−0.0274757	−	0.155822i	0.967983	−	0.251015i	$-0.0807644\pi$
$509$	−0.619879	−	3.51551i	−0.0274757	−	0.155822i	−0.995459	+	0.0951928i	$0.969653\pi$
$510$	−2.84403	+	0.353768i	−0.125936	+	0.0156651i
$511$	12.7217	+	10.6748i	0.562774	+	0.472224i
$512$	0.707107	+	0.707107i	0.0312500	+	0.0312500i
$513$	22.6490	−	0.147568i	0.999979	−	0.00651530i
$514$		−	23.0701i		−	1.01758i
$515$	2.51395	−	17.1814i	0.110778	−	0.757103i
$516$	−2.31134	−	1.05749i	−0.101751	−	0.0465533i
$517$	13.7963	+	9.66025i	0.606759	+	0.424857i
$518$	−4.56856	−	6.52458i	−0.200731	−	0.286673i
$519$	−15.7289	−	33.1028i	−0.690422	−	1.45305i
$520$	2.36446	+	7.89332i	0.103688	+	0.346145i
$521$	30.4405	+	17.5748i	1.33362	+	0.769966i	0.985853	−	0.167614i	$-0.0536064\pi$
$521$	30.4405	+	17.5748i	1.33362	+	0.769966i	0.347768	+	0.937581i	$0.386940\pi$
$522$	−23.2352	−	1.69412i	−1.01698	−	0.0741496i
$523$	−14.3900	−	1.25896i	−0.629232	−	0.0550507i	−0.231921	−	0.972735i	$-0.574501\pi$
$523$	−14.3900	−	1.25896i	−0.629232	−	0.0550507i	−0.397311	+	0.917684i	$0.630057\pi$
$524$	6.53766	−	11.3236i	0.285599	−	0.494672i
$525$	12.4119	−	14.1612i	0.541700	−	0.618045i
$526$	4.79554	+	1.74543i	0.209095	+	0.0761045i
$527$	−2.04586	+	1.43253i	−0.0891193	+	0.0624020i
$528$	−1.54271	−	8.39325i	−0.0671378	−	0.365269i
$529$	16.3263	+	44.8561i	0.709839	+	1.95027i
$530$	2.91360	+	3.91237i	0.126559	+	0.169942i
$531$	−1.01839	+	0.0147509i	−0.0441944	+	0.000640135i
$532$	8.64982	−	3.87442i	0.375017	−	0.167978i
$533$	−14.3881	+	14.3881i	−0.623216	+	0.623216i
$534$	−10.7953	+	1.02329i	−0.467157	+	0.0442821i
$535$	23.4259	+	18.5168i	1.01279	+	0.800553i
$536$	2.72808	−	0.481034i	0.117835	−	0.0207775i
$537$	−4.95386	−	0.836556i	−0.213775	−	0.0361001i
$538$	−6.08079	−	13.0403i	−0.262162	−	0.562207i
$539$	5.59727	+	9.69476i	0.241092	+	0.417583i
$540$	−7.78658	+	8.62376i	−0.335081	+	0.371107i
$541$	−19.1021	+	16.0286i	−0.821265	+	0.689124i	−0.953268	−	0.302126i	$-0.902304\pi$
$541$	−19.1021	+	16.0286i	−0.821265	+	0.689124i	0.132003	+	0.991249i	$0.457859\pi$
$542$	21.6752	+	1.89633i	0.931030	+	0.0814545i
$543$	−1.26059	−	0.715679i	−0.0540970	−	0.0307127i
$544$	0.640845	−	0.369992i	0.0274760	−	0.0158633i
$545$	−7.69328	+	11.7011i	−0.329544	+	0.501219i
$546$	−8.04228	−	11.3103i	−0.344178	−	0.484038i
$547$	−10.1408	−	7.10067i	−0.433589	−	0.303603i	0.336329	−	0.941744i	$-0.390814\pi$
$547$	−10.1408	−	7.10067i	−0.433589	−	0.303603i	−0.769919	+	0.638142i	$0.779703\pi$
$548$	−4.92534	+	10.5624i	−0.210400	+	0.451204i
$549$	−29.0915	−	23.7012i	−1.24159	−	1.01154i
$550$	−23.3823	+	7.75619i	−0.997023	+	0.330725i
$551$	−12.0597	+	31.6284i	−0.513759	+	1.34742i
$552$	14.5669	−	0.105491i	0.620007	−	0.00449001i
$553$	0.156355	+	1.78714i	0.00664889	+	0.0759971i
$554$	26.7205	−	9.72548i	1.13525	−	0.413196i
$555$	10.5282	−	9.50978i	0.446895	−	0.403667i
$556$	−0.0259902	+	0.147397i	−0.00110223	+	0.00625105i
$557$	−3.09740	−	6.64240i	−0.131241	−	0.281448i	0.829695	−	0.558216i	$-0.188514\pi$
$557$	−3.09740	−	6.64240i	−0.131241	−	0.281448i	−0.960937	+	0.276769i	$0.910736\pi$
$558$	−2.47871	+	9.81729i	−0.104932	+	0.415599i
$559$	4.68318	+	2.70383i	0.198077	+	0.114360i
$560$	−1.52861	+	4.61552i	−0.0645956	+	0.195041i
$561$	−6.29471	−	0.504810i	−0.265763	−	0.0213131i
$562$	−0.921574	−	3.43936i	−0.0388743	−	0.145081i
$563$	41.0471	+	10.9985i	1.72993	+	0.463533i	0.980167	−	0.198173i	$-0.0635009\pi$
$563$	41.0471	+	10.9985i	1.72993	+	0.463533i	0.749763	+	0.661707i	$0.230168\pi$
$564$	2.54099	+	5.34772i	0.106995	+	0.225180i
$565$	−13.4379	−	33.8099i	−0.565339	−	1.42239i
$566$	6.33216	−	1.11653i	0.266161	−	0.0469313i
$567$	7.75324	−	17.9680i	0.325605	−	0.754586i
$568$	−1.30366	−	14.9009i	−0.0547003	−	0.625227i
$569$	−25.5161			−1.06969			−0.534846	−	0.844949i	$-0.679630\pi$
$569$	−25.5161			−1.06969			−0.534846	+	0.844949i	$0.679630\pi$
$570$	8.75012	+	14.4373i	0.366502	+	0.604712i
$571$	−11.4610			−0.479627			−0.239813	−	0.970819i	$-0.577086\pi$
$571$	−11.4610			−0.479627			−0.239813	+	0.970819i	$0.577086\pi$
$572$	1.58239	+	18.0869i	0.0661632	+	0.756249i
$573$	16.8508	−	6.27174i	0.703950	−	0.262006i
$574$	−11.8241	+	2.08492i	−0.493530	+	0.0870227i
$575$	−6.10775	−	41.6061i	−0.254711	−	1.73509i
$576$	0.985124	−	2.83364i	0.0410468	−	0.118068i
$577$	14.3860	+	3.85472i	0.598898	+	0.160474i	0.545516	−	0.838100i	$-0.316334\pi$
$577$	14.3860	+	3.85472i	0.598898	+	0.160474i	0.0533811	+	0.998574i	$0.483000\pi$
$578$	4.25820	+	15.8918i	0.177118	+	0.661013i
$579$	−3.67136	+	45.7799i	−0.152577	+	1.90255i
$580$	−7.79559	−	15.5162i	−0.323694	−	0.644276i
$581$	11.5830	+	6.68743i	0.480542	+	0.277441i
$582$	3.04121	−	1.78533i	0.126062	−	0.0740044i
$583$	4.54252	+	9.74147i	0.188132	+	0.403450i
$584$	1.32625	−	7.52154i	0.0548806	−	0.311244i
$585$	18.2236	−	16.7020i	0.753452	−	0.690545i
$586$	−4.42371	+	1.61010i	−0.182742	+	0.0665126i
$587$	1.36901	+	15.6478i	0.0565049	+	0.645855i	0.970655	+	0.240478i	$0.0773041\pi$
$587$	1.36901	+	15.6478i	0.0565049	+	0.645855i	−0.914150	+	0.405377i	$0.867140\pi$
$588$	0.0284985	+	3.93524i	0.00117526	+	0.162287i
$589$	12.6275	+	7.54884i	0.520305	+	0.311044i
$590$	−0.398634	−	0.646057i	−0.0164115	−	0.0265978i
$591$	−26.2628	+	2.48947i	−1.08031	+	0.102403i
$592$	−1.54811	+	3.31992i	−0.0636268	+	0.136448i
$593$	7.22469	+	5.05878i	0.296682	+	0.207739i	0.712434	−	0.701739i	$-0.247593\pi$
$593$	7.22469	+	5.05878i	0.296682	+	0.207739i	−0.415752	+	0.909478i	$0.636482\pi$
$594$	−20.6476	+	15.1366i	−0.847182	+	0.621060i
$595$	3.00627	+	1.97658i	0.123245	+	0.0810318i
$596$	−8.90518	+	5.14141i	−0.364770	+	0.210600i
$597$	14.1881	−	24.9908i	0.580682	−	1.02281i
$598$	−30.8742	−	2.70114i	−1.26254	−	0.110458i
$599$	−22.1424	+	18.5797i	−0.904714	+	0.759146i	−0.971106	−	0.238648i	$-0.923296\pi$
$599$	−22.1424	+	18.5797i	−0.904714	+	0.759146i	0.0663917	+	0.997794i	$0.478851\pi$
$600$	−8.49433	−	1.68712i	−0.346780	−	0.0688765i
$601$	3.46989	+	6.01002i	0.141540	+	0.245154i	0.928077	−	0.372389i	$-0.121461\pi$
$601$	3.46989	+	6.01002i	0.141540	+	0.245154i	−0.786537	+	0.617543i	$0.788128\pi$
$602$	1.34853	+	2.89192i	0.0549618	+	0.117866i
$603$	−4.86480	−	6.73781i	−0.198110	−	0.274385i
$604$	−9.30025	+	1.63989i	−0.378422	+	0.0667260i
$605$	−29.4837	+	3.45085i	−1.19868	+	0.140297i
$606$	−2.89243	−	30.5139i	−0.117497	−	1.23954i
$607$	−7.78815	+	7.78815i	−0.316111	+	0.316111i	−0.847271	−	0.531160i	$-0.821756\pi$
$607$	−7.78815	+	7.78815i	−0.316111	+	0.316111i	0.531160	+	0.847271i	$0.321756\pi$
$608$	−3.53216	−	2.55418i	−0.143248	−	0.103586i
$609$	20.8295	+	20.5300i	0.844056	+	0.831918i
$610$	4.04923	−	27.6742i	0.163948	−	1.12049i
$611$	−4.30823	−	11.8368i	−0.174292	−	0.478864i
$612$	−1.83673	−	1.24684i	−0.0742454	−	0.0504006i
$613$	19.6591	−	13.7654i	0.794022	−	0.555980i	−0.104698	−	0.994504i	$-0.533387\pi$
$613$	19.6591	−	13.7654i	0.794022	−	0.555980i	0.898719	+	0.438524i	$0.144499\pi$
$614$	−6.02402	−	2.19256i	−0.243109	−	0.0884846i
$615$	−6.28498	−	20.4416i	−0.253435	−	0.824284i
$616$	−5.35661	+	9.27791i	−0.215824	+	0.373818i
$617$	−21.4864	−	1.87981i	−0.865009	−	0.0756785i	−0.353991	−	0.935249i	$-0.615176\pi$
$617$	−21.4864	−	1.87981i	−0.865009	−	0.0756785i	−0.511018	+	0.859570i	$0.670731\pi$
$618$	10.2407	−	8.72012i	0.411941	−	0.350775i
$619$	26.8037	+	15.4751i	1.07733	+	0.621998i	0.930175	−	0.367115i	$-0.119655\pi$
$619$	26.8037	+	15.4751i	1.07733	+	0.621998i	0.147156	+	0.989113i	$0.452988\pi$
$620$	−7.22961	+	2.16564i	−0.290348	+	0.0869742i
$621$	−19.3252	−	39.1967i	−0.775494	−	1.57291i
$622$	15.4567	+	22.0745i	0.619758	+	0.885106i
$623$	11.1510	+	7.80804i	0.446757	+	0.312823i
$624$	−2.65543	+	5.80395i	−0.106302	+	0.232344i
$625$	−1.43794	+	24.9586i	−0.0575176	+	0.998344i
$626$			19.8933i			0.795095i
$627$	12.4436	+	35.0551i	0.496950	+	1.39997i
$628$	−12.0577	−	12.0577i	−0.481153	−	0.481153i
$629$	2.07649	+	1.74238i	0.0827949	+	0.0694732i
$630$	14.4612	−	1.90527i	0.576149	−	0.0759078i
$631$	0.988036	+	5.60343i	0.0393331	+	0.223069i	0.998138	−	0.0609963i	$-0.0194278\pi$
$631$	0.988036	+	5.60343i	0.0393331	+	0.223069i	−0.958805	+	0.284065i	$0.908317\pi$
$632$	0.675841	−	0.473229i	0.0268835	−	0.0188240i
$633$	10.4635	−	29.4090i	0.415885	−	1.16890i
$634$	8.64975	−	4.99393i	0.343525	−	0.198334i
$635$	0.497275	+	16.9984i	0.0197338	+	0.674561i
$636$	−0.302055	+	3.76646i	−0.0119772	+	0.149350i
$637$	0.729714	−	8.34067i	0.0289123	−	0.330469i
$638$	−9.90277	−	36.9577i	−0.392055	−	1.46317i
$639$	−38.5325	+	22.9972i	−1.52432	+	0.909754i
$640$	2.18980	−	0.452516i	0.0865595	−	0.0178873i
$641$	10.7306	+	1.89210i	0.423835	+	0.0747336i	0.381498	−	0.924370i	$-0.375408\pi$
$641$	10.7306	+	1.89210i	0.423835	+	0.0747336i	0.0423375	+	0.999103i	$0.486520\pi$
$642$	4.18130	+	22.7487i	0.165023	+	0.897821i
$643$	14.2690	+	6.65376i	0.562716	+	0.262399i	0.683095	−	0.730329i	$-0.260633\pi$
$643$	14.2690	+	6.65376i	0.562716	+	0.262399i	−0.120379	+	0.992728i	$0.538411\pi$
$644$	−14.0090	−	11.7549i	−0.552031	−	0.463209i
$645$	−4.81517	+	3.01945i	−0.189597	+	0.118891i
$646$	−2.50214	+	2.03550i	−0.0984453	+	0.0800858i
$647$	3.12362	+	3.12362i	0.122802	+	0.122802i	0.765837	−	0.643035i	$-0.222325\pi$
$647$	3.12362	+	3.12362i	0.122802	+	0.122802i	−0.643035	+	0.765837i	$0.722325\pi$
$648$	−8.93927	+	1.04375i	−0.351168	+	0.0410023i
$649$	−0.572104	−	1.57184i	−0.0224571	−	0.0617002i
$650$	17.6525	+	5.27877i	0.692388	+	0.207050i
$651$	10.3593	−	7.36604i	0.406014	−	0.288698i
$652$	−18.6695	+	8.70573i	−0.731154	+	0.340943i
$653$	30.2523	+	8.10609i	1.18387	+	0.317216i	0.796458	−	0.604693i	$-0.206704\pi$
$653$	30.2523	+	8.10609i	1.18387	+	0.317216i	0.387407	+	0.921909i	$0.373371\pi$
$654$	−10.4569	+	2.88325i	−0.408899	+	0.112744i
$655$	−13.1258	−	26.1254i	−0.512867	−	1.02080i
$656$	3.54936	+	4.22997i	0.138579	+	0.165152i
$657$	−22.0438	+	6.25016i	−0.860010	+	0.243842i
$658$	1.92373	−	7.17947i	0.0749949	−	0.279885i
$659$	−15.2774	−	5.56052i	−0.595123	−	0.216607i	0.0268584	−	0.999639i	$-0.491450\pi$
$659$	−15.2774	−	5.56052i	−0.595123	−	0.216607i	−0.621981	+	0.783032i	$0.713672\pi$
$660$	−17.5771	−	7.42825i	−0.684187	−	0.289144i
$661$	−0.254930	−	1.44578i	−0.00991563	−	0.0562344i	0.979448	−	0.201695i	$-0.0646448\pi$
$661$	−0.254930	−	1.44578i	−0.00991563	−	0.0562344i	−0.989364	+	0.145460i	$0.953534\pi$
$662$	−4.26973	−	1.99101i	−0.165948	−	0.0773827i
$663$	3.63992	+	3.00960i	0.141363	+	0.116883i
$664$		−	6.15111i		−	0.238709i
$665$	3.38686	−	20.9209i	0.131337	−	0.811276i
$666$	10.9882	−	0.159159i	0.425786	−	0.00616729i
$667$	65.0635	−	5.69232i	2.51927	−	0.220407i
$668$	−9.11640	+	19.5502i	−0.352724	+	0.756419i
$669$	−22.6534	−	15.6188i	−0.875830	−	0.603858i
$670$	2.45253	−	5.68807i	0.0947497	−	0.219749i
$671$	21.0778	−	57.9108i	0.813700	−	2.23562i
$672$	−3.24785	+	1.90664i	−0.125288	+	0.0735502i
$673$	−8.49582	+	2.27645i	−0.327490	+	0.0877506i	−0.418818	−	0.908070i	$-0.637555\pi$
$673$	−8.49582	+	2.27645i	−0.327490	+	0.0877506i	0.0913282	+	0.995821i	$0.470889\pi$
$674$	3.43389	−	2.88138i	0.132269	−	0.110987i
$675$	6.54724	+	25.1423i	0.252003	+	0.967726i
$676$	0.289519	−	0.501462i	0.0111354	−	0.0192870i
$677$	1.68145	−	6.27526i	0.0646234	−	0.241178i	−0.926057	−	0.377383i	$-0.876824\pi$
$677$	1.68145	−	6.27526i	0.0646234	−	0.241178i	0.990681	+	0.136205i	$0.0434907\pi$
$678$	9.44670	−	26.5513i	0.362798	−	1.01970i
$679$	−4.35987	−	0.768762i	−0.167316	−	0.0295024i
$680$	0.0959502	−	1.65187i	0.00367952	−	0.0633464i
$681$	0.309502	−	0.676476i	0.0118601	−	0.0259226i
$682$	−16.5660	+	1.44934i	−0.634346	+	0.0554981i
$683$	−0.683329	+	0.683329i	−0.0261469	+	0.0261469i	−0.720059	−	0.693912i	$-0.755885\pi$
$683$	−0.683329	+	0.683329i	−0.0261469	+	0.0261469i	0.693912	+	0.720059i	$0.255885\pi$
$684$	−2.28010	+	12.8764i	−0.0871817	+	0.492341i
$685$	13.6843	+	22.1779i	0.522851	+	0.847373i
$686$	12.9592	−	15.4442i	0.494786	−	0.589663i
$687$	36.2903	−	13.5070i	1.38456	−	0.515325i
$688$	0.841718	−	1.20210i	0.0320902	−	0.0458296i
$689$	1.39595	−	7.91681i	0.0531814	−	0.301606i
$690$	17.6975	−	27.3463i	0.673732	−	1.04106i
$691$	9.93672	+	17.2109i	0.378011	+	0.654734i	0.990773	−	0.135534i	$-0.0432749\pi$
$691$	9.93672	+	17.2109i	0.378011	+	0.654734i	−0.612762	+	0.790268i	$0.709942\pi$
$692$	20.4386	−	5.47652i	0.776961	−	0.208186i
$693$	32.0545	+	2.33715i	1.21765	+	0.0887811i
$694$	15.1714	+	18.0805i	0.575898	+	0.686328i
$695$	0.243470	+	0.229630i	0.00923534	+	0.00871036i
$696$	3.38706	−	13.0170i	0.128386	−	0.493408i
$697$	3.70324	−	1.72685i	0.140270	−	0.0654090i
$698$	−19.3913	−	27.6936i	−0.733970	−	1.04822i
$699$	2.25027	−	3.26377i	0.0851130	−	0.123447i
$700$	6.74582	+	8.52597i	0.254968	+	0.322251i
$701$	−27.9461	+	33.3048i	−1.05551	+	1.25791i	−0.0904423	+	0.995902i	$0.528828\pi$
$701$	−27.9461	+	33.3048i	−1.05551	+	1.25791i	−0.965067	+	0.262005i	$0.915616\pi$
$702$	19.1432	−	0.415956i	0.722512	−	0.0156992i
$703$	4.36672	−	15.3585i	0.164694	−	0.579257i
$704$	4.92702			0.185694
$705$	13.1132	+	1.82180i	0.493870	+	0.0686128i
$706$	24.0396	−	8.74970i	0.904742	−	0.329299i
$707$	−22.0702	+	31.5195i	−0.830035	+	1.18541i
$708$	0.0979141	−	0.579821i	0.00367984	−	0.0217910i
$709$	−6.48650	+	17.8215i	−0.243606	+	0.669301i	0.756281	+	0.654247i	$0.227014\pi$
$709$	−6.48650	+	17.8215i	−0.243606	+	0.669301i	−0.999887	+	0.0150539i	$0.995208\pi$
$710$	−29.4423	−	15.8692i	−1.10495	−	0.595559i
$711$	−2.16124	−	1.20640i	−0.0810529	−	0.0452435i
$712$	0.545647	−	6.23677i	0.0204490	−	0.233733i
$713$	2.47402	−	28.2781i	0.0926526	−	1.05902i
$714$	0.740774	+	2.68663i	0.0277228	+	0.100545i
$715$	35.7374	+	19.2622i	1.33650	+	0.720365i
$716$	0.992067	−	2.72568i	0.0370753	−	0.101863i
$717$	18.0384	+	3.04614i	0.673657	+	0.113760i
$718$	−10.4335	+	14.9005i	−0.389374	+	0.556083i
$719$	27.7799	−	10.1111i	1.03602	−	0.377079i	0.232648	−	0.972561i	$-0.425261\pi$
$719$	27.7799	−	10.1111i	1.03602	−	0.377079i	0.803369	+	0.595482i	$0.203039\pi$
$720$	−4.08421	−	5.32158i	−0.152209	−	0.198324i
$721$	−16.8853			−0.628842
$722$	16.9677	+	8.54978i	0.631471	+	0.318190i
$723$	−0.0672074	−	9.28039i	−0.00249947	−	0.345141i
$724$	0.537958	−	0.641113i	0.0199931	−	0.0238268i
$725$	−38.5670	−	4.49555i	−1.43234	−	0.166961i
$726$	−18.9305	−	13.0520i	−0.702577	−	0.484405i
$727$	−16.8684	−	24.0906i	−0.625615	−	0.893470i	0.373806	−	0.927507i	$-0.378053\pi$
$727$	−16.8684	−	24.0906i	−0.625615	−	0.893470i	−0.999421	+	0.0340367i	$0.989164\pi$
$728$	7.26182	−	3.38624i	0.269141	−	0.125503i
$729$	14.5029	+	22.7742i	0.537145	+	0.843490i
$730$	−12.4240	−	11.7178i	−0.459834	−	0.433694i
$731$	−0.698016	−	0.831863i	−0.0258171	−	0.0307676i
$732$	16.4947	−	14.0455i	0.609663	−	0.519138i
$733$	−12.4556	+	3.33746i	−0.460057	+	0.123272i	−0.481401	−	0.876500i	$-0.659872\pi$
$733$	−12.4556	+	3.33746i	−0.460057	+	0.123272i	0.0213443	+	0.999772i	$0.493205\pi$
$734$	10.9980	+	19.0490i	0.405942	+	0.703112i
$735$	7.38761	+	4.78098i	0.272496	+	0.176349i
$736$	−1.46045	+	8.28263i	−0.0538329	+	0.305302i
$737$	7.82855	−	11.1803i	0.288368	−	0.411833i
$738$	6.78270	−	15.1133i	0.249675	−	0.556326i
$739$	27.2595	−	32.4866i	1.00276	−	1.19504i	0.0220113	−	0.999758i	$-0.492993\pi$
$739$	27.2595	−	32.4866i	1.00276	−	1.19504i	0.980747	−	0.195283i	$-0.0625625\pi$
$740$	4.30118	+	6.97083i	0.158115	+	0.256253i
$741$	7.41449	−	26.8147i	0.272378	−	0.985064i
$742$	3.35417	−	3.35417i	0.123135	−	0.123135i
$743$	−30.3735	+	2.65734i	−1.11430	+	0.0974882i	−0.629398	−	0.777083i	$-0.716698\pi$
$743$	−30.3735	+	2.65734i	−1.11430	+	0.0974882i	−0.484897	+	0.874571i	$0.661143\pi$
$744$	−5.31592	−	2.43215i	−0.194891	−	0.0891668i
$745$	−1.33332	+	22.9544i	−0.0488491	+	0.840983i
$746$	−18.4910	−	3.26047i	−0.677005	−	0.119374i
$747$	−16.6097	+	8.04012i	−0.607717	+	0.294172i
$748$	0.943633	−	3.52169i	0.0345026	−	0.128766i
$749$	14.5183	−	25.1465i	0.530489	−	0.918833i
$750$	−13.5870	+	13.7983i	−0.496129	+	0.503842i
$751$	−40.8950	+	34.3149i	−1.49228	+	1.25217i	−0.600559	+	0.799580i	$0.705055\pi$
$751$	−40.8950	+	34.3149i	−1.49228	+	1.25217i	−0.891719	+	0.452590i	$0.850500\pi$
$752$	−3.30184	+	0.884727i	−0.120406	+	0.0322627i
$753$	−15.2440	−	25.9672i	−0.555522	−	0.946299i
$754$	−9.78729	+	26.8904i	−0.356432	+	0.979289i
$755$	−8.36089	+	19.3911i	−0.304284	+	0.705714i
$756$	9.39371	+	6.27792i	0.341646	+	0.228326i
$757$	0.233156	−	0.500005i	0.00847420	−	0.0181730i	−0.902025	−	0.431684i	$-0.857920\pi$
$757$	0.233156	−	0.500005i	0.00847420	−	0.0181730i	0.910499	+	0.413511i	$0.135698\pi$
$758$	23.2600	−	2.03499i	0.844842	−	0.0739141i
$759$	50.3824	−	51.1174i	1.82876	−	1.85545i
$760$	−9.11130	+	3.46182i	−0.330502	+	0.125574i
$761$			1.00258i			0.0363436i	0.999835	+	0.0181718i	$0.00578458\pi$
$761$			1.00258i			0.0363436i	−0.999835	+	0.0181718i	$0.994215\pi$
$762$	−8.39385	+	10.1518i	−0.304077	+	0.367761i
$763$	12.3415	+	5.75492i	0.446791	+	0.208342i
$764$	1.80261	+	10.2231i	0.0652160	+	0.369858i
$765$	−4.58593	+	1.90007i	−0.165804	+	0.0686971i
$766$	22.6664	+	8.24990i	0.818970	+	0.298081i
$767$	−0.323795	+	1.20842i	−0.0116916	+	0.0436335i
$768$	1.50623	+	0.855140i	0.0543515	+	0.0308572i
$769$	−26.1803	−	31.2004i	−0.944084	−	1.12512i	−0.991997	−	0.126264i	$-0.959701\pi$
$769$	−26.1803	−	31.2004i	−0.944084	−	1.12512i	0.0479127	−	0.998852i	$-0.484743\pi$
$770$	10.7546	+	21.4057i	0.387567	+	0.771408i
$771$	−10.6213	−	38.5211i	−0.382516	−	1.38730i
$772$	−25.6124	−	6.86282i	−0.921810	−	0.246998i
$773$	9.92424	−	4.62775i	0.356950	−	0.166449i	−0.235868	−	0.971785i	$-0.575793\pi$
$773$	9.92424	−	4.62775i	0.356950	−	0.166449i	0.592818	+	0.805337i	$0.298015\pi$
$774$	−4.34621	−	0.701609i	−0.156221	−	0.0252188i
$775$	−4.83490	+	16.1682i	−0.173675	+	0.580778i
$776$	0.696367	+	1.91325i	0.0249981	+	0.0686817i
$777$	−10.6322	−	8.79104i	−0.381427	−	0.315377i
$778$	3.96737	+	3.96737i	0.142237	+	0.142237i
$779$	−18.2006	−	15.7500i	−0.652103	−	0.564301i
$780$	7.58205	+	12.0912i	0.271481	+	0.432936i
$781$	−56.4555	−	47.3718i	−2.02014	−	1.69510i
$782$	5.64047	+	2.63019i	0.201703	+	0.0940555i
$783$	−39.5767	+	7.86854i	−1.41436	+	0.281199i
$784$	−2.23755	−	0.394541i	−0.0799126	−	0.0140908i
$785$	−37.3407	+	7.71636i	−1.33275	+	0.275409i
$786$	5.70294	−	21.9173i	0.203417	−	0.781765i
$787$	−1.55895	−	5.81806i	−0.0555704	−	0.207392i	0.932558	−	0.361019i	$-0.117571\pi$
$787$	−1.55895	−	5.81806i	−0.0555704	−	0.207392i	−0.988129	+	0.153628i	$0.950904\pi$
$788$	1.32745	−	15.1728i	0.0472885	−	0.540510i
$789$	8.81090	+	0.706599i	0.313676	+	0.0251556i
$790$	−0.0539471	−	1.84408i	−0.00191935	−	0.0656094i
$791$	−30.6389	+	17.6894i	−1.08939	+	0.628962i
$792$	−6.44011	−	13.3043i	−0.228839	−	0.472748i
$793$	−37.7562	+	26.4372i	−1.34076	+	0.938812i
$794$	4.70758	+	26.6980i	0.167066	+	0.947477i
$795$	6.66619	+	5.19125i	0.236425	+	0.184115i
$796$	12.7099	+	10.6649i	0.450491	+	0.378007i
$797$	−4.18521	−	4.18521i	−0.148248	−	0.148248i	0.629087	−	0.777335i	$-0.283429\pi$
$797$	−4.18521	−	4.18521i	−0.148248	−	0.148248i	−0.777335	+	0.629087i	$0.783429\pi$
$798$	12.6592	−	10.4516i	0.448132	−	0.369983i
$799$			2.52950i			0.0894875i
$800$	1.84457	−	4.64732i	0.0652154	−	0.164307i
$801$	−17.5542	+	6.67868i	−0.620248	+	0.235980i
$802$	−5.77106	−	4.04094i	−0.203783	−	0.142691i
$803$	−21.5840	−	30.8251i	−0.761681	−	1.08779i
$804$	4.33373	−	2.05919i	0.152839	−	0.0726220i
$805$	−39.1722	+	11.7341i	−1.38064	+	0.413572i
$806$	10.7710	+	6.21862i	0.379391	+	0.219042i
$807$	−16.1570	−	18.9744i	−0.568753	−	0.667931i
$808$	17.6288	+	1.54232i	0.620180	+	0.0542587i
$809$	−15.8125	+	27.3880i	−0.555936	+	0.962910i	0.441894	+	0.897067i	$0.354307\pi$
$809$	−15.8125	+	27.3880i	−0.555936	+	0.962910i	−0.997830	+	0.0658424i	$0.979027\pi$
$810$	−9.03128	+	17.9843i	−0.317327	+	0.631905i
$811$	48.2076	+	17.5461i	1.69280	+	0.616128i	0.994973	−	0.100142i	$-0.0319296\pi$
$811$	48.2076	+	17.5461i	1.69280	+	0.616128i	0.697824	+	0.716269i	$0.254152\pi$
$812$	−13.8317	+	9.68508i	−0.485398	+	0.339880i
$813$	37.0651	−	6.81269i	1.29993	−	0.238931i
$814$	6.17289	+	16.9599i	0.216360	+	0.594443i
$815$	−6.66868	+	45.5766i	−0.233594	+	1.59648i
$816$	0.899705	−	0.912832i	0.0314960	−	0.0319555i
$817$	−2.79120	+	5.75554i	−0.0976517	+	0.201361i
$818$	−17.3047	+	17.3047i	−0.605044	+	0.605044i
$819$	−18.6357	−	15.1828i	−0.651185	−	0.530529i
$820$	12.2635	−	1.43535i	0.428259	−	0.0501245i
$821$	−12.1860	+	2.14871i	−0.425293	+	0.0749906i	−0.382198	−	0.924080i	$-0.624833\pi$
$821$	−12.1860	+	2.14871i	−0.425293	+	0.0749906i	−0.0430946	+	0.999071i	$0.513722\pi$
$822$	−3.36120	+	19.9041i	−0.117235	+	0.694236i
$823$	4.93443	+	10.5819i	0.172003	+	0.368863i	0.973345	−	0.229344i	$-0.0736580\pi$
$823$	4.93443	+	10.5819i	0.172003	+	0.368863i	−0.801342	+	0.598206i	$0.795880\pi$
$824$	3.88279	+	6.72518i	0.135263	+	0.234283i
$825$	−35.4715	+	23.7158i	−1.23496	+	0.825679i
$826$	−0.565495	+	0.474506i	−0.0196761	+	0.0165102i
$827$	−45.2076	−	3.95515i	−1.57202	−	0.137534i	−0.732464	−	0.680806i	$-0.761630\pi$
$827$	−45.2076	−	3.95515i	−1.57202	−	0.137534i	−0.839557	+	0.543272i	$0.817185\pi$
$828$	24.2743	−	6.88260i	0.843592	−	0.239187i
$829$	−7.66900	+	4.42770i	−0.266355	+	0.153780i	−0.627230	−	0.778834i	$-0.715811\pi$
$829$	−7.66900	+	4.42770i	−0.266355	+	0.153780i	0.360875	+	0.932614i	$0.382478\pi$
$830$	−11.4927	−	7.55631i	−0.398919	−	0.262283i
$831$	40.1389	−	28.5410i	1.39240	−	0.990075i
$832$	−3.01855	−	2.11361i	−0.104650	−	0.0732764i
$833$	−0.710547	+	1.52377i	−0.0246190	+	0.0527956i
$834$	0.0244637	+	0.258081i	0.000847109	+	0.00893663i
$835$	25.3286	+	41.0494i	0.876531	+	1.42057i
$836$	−21.2044	+	3.40722i	−0.733369	+	0.117841i
$837$	0.380980	+	17.5335i	0.0131686	+	0.606047i
$838$	1.56179	+	17.8514i	0.0539512	+	0.616666i
$839$	2.44304	−	0.889196i	0.0843433	−	0.0306984i	−0.299504	−	0.954095i	$-0.596821\pi$
$839$	2.44304	−	0.889196i	0.0843433	−	0.0306984i	0.383847	+	0.923397i	$0.374599\pi$
$840$	−0.427442	+	8.41048i	−0.0147481	+	0.290189i
$841$	5.43604	−	30.8293i	0.187450	−	1.06308i
$842$	−11.9469	−	25.6203i	−0.411719	−	0.882933i
$843$	−3.12224	−	5.31856i	−0.107536	−	0.183181i
$844$	15.6075	+	9.01099i	0.537232	+	0.310171i
$845$	−0.581273	−	1.15696i	−0.0199964	−	0.0398005i
$846$	6.70485	+	7.75947i	0.230517	+	0.266776i
$847$	7.47108	+	27.8824i	0.256709	+	0.958052i
$848$	−2.10721	−	0.564626i	−0.0723619	−	0.0193893i
$849$	10.0590	−	4.77959i	0.345225	−	0.164035i
$850$	−2.96849	−	2.20851i	−0.101818	−	0.0757512i
$851$	−30.3403	+	5.34982i	−1.04005	+	0.183390i
$852$	−9.03701	−	24.2804i	−0.309603	−	0.831834i
$853$	−2.31637	−	26.4762i	−0.0793110	−	0.906529i	−0.926761	−	0.375653i	$-0.877419\pi$
$853$	−2.31637	−	26.4762i	−0.0793110	−	0.906529i	0.847450	−	0.530876i	$-0.178137\pi$
$854$	−27.1972			−0.930670
$855$	21.2573	+	20.0781i	0.726983	+	0.686656i
$856$	−13.3540			−0.456430
$857$	−0.285169	−	3.25950i	−0.00974120	−	0.111342i	0.989767	−	0.142691i	$-0.0455754\pi$
$857$	−0.285169	−	3.25950i	−0.00974120	−	0.111342i	−0.999509	+	0.0313484i	$0.990020\pi$
$858$	10.9692	+	29.4719i	0.374483	+	1.00615i
$859$	−24.9957	+	4.40742i	−0.852843	+	0.150379i	−0.582947	−	0.812510i	$-0.698100\pi$
$859$	−24.9957	+	4.40742i	−0.852843	+	0.150379i	−0.269896	+	0.962890i	$0.586989\pi$
$860$	−1.21200	−	3.04938i	−0.0413287	−	0.103983i
$861$	−18.7834	+	8.92501i	−0.640137	+	0.304164i
$862$	24.3742	+	6.53104i	0.830188	+	0.222448i
$863$	13.4864	+	50.3320i	0.459083	+	1.71332i	0.675798	+	0.737087i	$0.263799\pi$
$863$	13.4864	+	50.3320i	0.459083	+	1.71332i	−0.216715	+	0.976235i	$0.569534\pi$
$864$	0.340318	−	5.18500i	0.0115779	−	0.176397i
$865$	14.8754	−	44.9152i	0.505780	−	1.52716i
$866$	−2.30457	−	1.33054i	−0.0783123	−	0.0452136i
$867$	14.4266	+	24.5748i	0.489952	+	0.834604i
$868$	3.10151	+	6.65121i	0.105272	+	0.225757i
$869$	0.705886	−	4.00328i	0.0239455	−	0.135802i
$870$	−20.1602	−	22.3191i	−0.683494	−	0.756687i
$871$	−9.59237	+	3.49134i	−0.325025	+	0.118299i
$872$	−0.545823	−	6.23878i	−0.0184839	−	0.211272i
$873$	4.25609	−	4.38119i	0.144047	−	0.148281i
$874$	0.557575	−	36.6559i	0.0188602	−	1.23990i
$875$	24.2168	−	2.13020i	0.818677	−	0.0720137i
$876$	−1.24836	−	13.1696i	−0.0421781	−	0.444961i
$877$	0.684650	−	1.46824i	0.0231190	−	0.0495789i	−0.894409	−	0.447250i	$-0.852404\pi$
$877$	0.684650	−	1.46824i	0.0231190	−	0.0495789i	0.917528	+	0.397671i	$0.130181\pi$
$878$	−23.9229	−	16.7510i	−0.807359	−	0.565319i
$879$	−6.64518	+	4.72509i	−0.224136	+	0.159373i
$880$	6.05258	−	9.20565i	0.204032	−	0.310322i
$881$	−5.27375	+	3.04480i	−0.177677	+	0.102582i	−0.586201	−	0.810166i	$-0.699377\pi$
$881$	−5.27375	+	3.04480i	−0.177677	+	0.102582i	0.408524	+	0.912748i	$0.366044\pi$
$882$	1.85934	+	6.55772i	0.0626071	+	0.220810i
$883$	−35.1444	−	3.07474i	−1.18270	−	0.103473i	−0.521213	−	0.853427i	$-0.674520\pi$
$883$	−35.1444	−	3.07474i	−1.18270	−	0.103473i	−0.661490	+	0.749954i	$0.730076\pi$
$884$	−2.08887	+	1.75277i	−0.0702563	+	0.0589520i
$885$	−0.963056	−	0.895222i	−0.0323728	−	0.0300925i
$886$	−2.69222	−	4.66307i	−0.0904470	−	0.156659i
$887$	17.8214	+	38.2181i	0.598383	+	1.28324i	0.939285	+	0.343138i	$0.111490\pi$
$887$	17.8214	+	38.2181i	0.598383	+	1.28324i	−0.340901	+	0.940099i	$0.610732\pi$
$888$	−1.05647	+	6.25615i	−0.0354529	+	0.209943i
$889$	16.2853	−	2.87154i	0.546191	−	0.0963083i
$890$	−10.9825	−	8.68102i	−0.368134	−	0.290988i
$891$	−27.5075	+	34.7801i	−0.921534	+	1.16518i
$892$	11.2333	−	11.2333i	0.376119	−	0.376119i
$893$	13.5983	−	6.09095i	0.455050	−	0.203826i
$894$	−12.5023	+	12.6847i	−0.418139	+	0.424240i
$895$	−3.87396	−	5.20193i	−0.129492	−	0.173881i
$896$	−0.743682	−	2.04325i	−0.0248447	−	0.0682602i
$897$	−52.7955	+	9.70400i	−1.76279	+	0.324007i
$898$	−10.7717	+	7.54241i	−0.359455	+	0.251693i
$899$	−24.6293	−	8.96433i	−0.821433	−	0.298977i
$900$	−14.9601	+	1.09366i	−0.498669	+	0.0364553i
$901$	−0.807155	+	1.39803i	−0.0268902	+	0.0465752i
$902$	27.1026	+	2.37117i	0.902419	+	0.0789514i
$903$	3.58311	+	4.20791i	0.119238	+	0.140031i
$904$	14.0909	+	8.13537i	0.468656	+	0.270578i
$905$	−0.537004	−	1.79269i	−0.0178506	−	0.0595912i
$906$	−14.7740	+	7.01994i	−0.490834	+	0.233222i
$907$	−7.21614	−	10.3057i	−0.239608	−	0.342195i	0.681280	−	0.732023i	$-0.261424\pi$
$907$	−7.21614	−	10.3057i	−0.239608	−	0.342195i	−0.920888	+	0.389827i	$0.872535\pi$
$908$	0.351826	+	0.246351i	0.0116758	+	0.00817545i
$909$	−18.8779	−	49.6187i	−0.626142	−	1.64575i
$910$	2.59390	−	17.7278i	0.0859869	−	0.587671i
$911$			40.3776i			1.33777i	0.743366	+	0.668885i	$0.233228\pi$
$911$			40.3776i			1.33777i	−0.743366	+	0.668885i	$0.766772\pi$
$912$	−7.07372	−	2.63864i	−0.234234	−	0.0873742i
$913$	−21.4300	−	21.4300i	−0.709231	−	0.709231i
$914$	7.57966	+	6.36009i	0.250713	+	0.210373i
$915$	−5.97979	−	48.0730i	−0.197686	−	1.58924i
$916$	3.88215	+	22.0168i	0.128270	+	0.727455i
$917$	−23.2891	+	16.3072i	−0.769074	+	0.538511i
$918$	−3.64090	−	1.23629i	−0.120168	−	0.0408037i
$919$	17.5071	−	10.1077i	0.577507	−	0.333424i	−0.182635	−	0.983181i	$-0.558463\pi$
$919$	17.5071	−	10.1077i	0.577507	−	0.333424i	0.760142	+	0.649757i	$0.225129\pi$
$920$	13.6812	+	12.9035i	0.451055	+	0.425415i
$921$	−11.0680	−	0.887608i	−0.364703	−	0.0292477i
$922$	0.205041	−	2.34363i	0.00675268	−	0.0771835i
$923$	14.2659	+	53.2410i	0.469567	+	1.75245i
$924$	−4.67268	+	17.9579i	−0.153720	+	0.590770i
$925$	18.3081	+	0.526954i	0.601966	+	0.0173261i
$926$	39.0171	+	6.87978i	1.28218	+	0.226083i
$927$	13.0847	−	19.2751i	0.429757	−	0.633077i
$928$	7.03804	+	3.28189i	0.231035	+	0.107733i
$929$	−13.9705	−	11.7226i	−0.458356	−	0.384607i	0.384169	−	0.923263i	$-0.374488\pi$
$929$	−13.9705	−	11.7226i	−0.458356	−	0.384607i	−0.842526	+	0.538656i	$0.818932\pi$
$930$	−11.0745	+	6.94452i	−0.363149	+	0.227720i
$931$	9.90259	+	0.150629i	0.324544	+	0.00493666i
$932$	1.61843	+	1.61843i	0.0530134	+	0.0530134i
$933$	35.9717	+	29.7426i	1.17766	+	0.973728i
$934$	−8.11230	−	22.2884i	−0.265442	−	0.729297i
$935$	−5.42072	−	6.08929i	−0.177276	−	0.199141i
$936$	−1.76179	+	10.9136i	−0.0575859	+	0.356723i
$937$	−48.0519	+	22.4069i	−1.56979	+	0.732003i	−0.996196	−	0.0871397i	$-0.972227\pi$
$937$	−48.0519	+	22.4069i	−1.56979	+	0.732003i	−0.573590	+	0.819143i	$0.694450\pi$
$938$	−5.81815	−	1.55897i	−0.189969	−	0.0509021i
$939$	9.15869	+	33.2166i	0.298883	+	1.08398i
$940$	−2.40311	+	7.25601i	−0.0783809	+	0.236665i
$941$	1.41435	+	1.68556i	0.0461066	+	0.0549477i	0.788605	−	0.614900i	$-0.210804\pi$
$941$	1.41435	+	1.68556i	0.0461066	+	0.0549477i	−0.742498	+	0.669848i	$0.766359\pi$
$942$	−25.6844	−	14.5820i	−0.836845	−	0.475106i
$943$	−12.0198	+	44.8584i	−0.391417	+	1.46079i
$944$	0.319025	+	0.116116i	0.0103834	+	0.00377924i
$945$	23.2693	−	9.83913i	0.756951	−	0.320067i
$946$	−1.25554	−	7.12051i	−0.0408211	−	0.231508i
$947$	7.31005	+	3.40873i	0.237545	+	0.110769i	0.537746	−	0.843107i	$-0.319276\pi$
$947$	7.31005	+	3.40873i	0.237545	+	0.110769i	−0.300201	+	0.953876i	$0.597054\pi$
$948$	0.910610	−	1.10132i	0.0295752	−	0.0357693i
$949$			28.1443i			0.913601i
$950$	−4.72467	+	21.2762i	−0.153288	+	0.690292i
$951$	12.1437	−	12.3209i	0.393786	−	0.399531i
$952$	−1.60288	+	0.140234i	−0.0519498	+	0.00454502i
$953$	11.5065	−	24.6757i	0.372731	−	0.799323i	−0.627062	−	0.778969i	$-0.715743\pi$
$953$	11.5065	−	24.6757i	0.372731	−	0.799323i	0.999793	−	0.0203542i	$-0.00647938\pi$
$954$	1.22969	+	6.42807i	0.0398127	+	0.208117i
$955$	21.3152	+	9.19052i	0.689744	+	0.297398i
$956$	−3.61240	+	9.92498i	−0.116833	+	0.320997i
$957$	−33.5501	−	57.1506i	−1.08452	−	1.84742i
$958$	−1.97373	+	0.528861i	−0.0637685	+	0.0170867i
$959$	19.4123	−	16.2889i	0.626856	−	0.525995i
$960$	3.44807	−	1.76375i	0.111286	−	0.0569248i
$961$	9.80427	−	16.9815i	0.316267	−	0.547790i
$962$	3.49368	−	13.0386i	0.112641	−	0.420381i
$963$	17.4550	+	36.0595i	0.562480	+	1.16200i
$964$	5.27677	+	0.930437i	0.169953	+	0.0299674i
$965$	−44.2859	+	39.4236i	−1.42561	+	1.26909i
$966$	−28.8032	−	13.1781i	−0.926729	−	0.423998i
$967$	14.2923	−	1.25042i	0.459611	−	0.0402108i	0.145000	−	0.989432i	$-0.453682\pi$
$967$	14.2923	−	1.25042i	0.459611	−	0.0402108i	0.314611	+	0.949221i	$0.398126\pi$
$968$	9.38721	−	9.38721i	0.301716	−	0.301716i
$969$	−3.24080	+	4.55073i	−0.104109	+	0.146190i
$970$	4.43017	+	1.04923i	0.142244	+	0.0336889i
$971$	23.4843	−	27.9874i	0.753645	−	0.898160i	−0.243783	−	0.969830i	$-0.578388\pi$
$971$	23.4843	−	27.9874i	0.753645	−	0.898160i	0.997428	+	0.0716701i	$0.0228329\pi$
$972$	−14.4457	+	5.85835i	−0.463348	+	0.187907i
$973$	0.186666	−	0.266587i	0.00598424	−	0.00854638i
$974$	−3.56675	+	20.2280i	−0.114286	+	0.648148i
$975$	31.9054	+	0.687123i	1.02179	+	0.0220055i
$976$	6.25402	+	10.8323i	0.200186	+	0.346733i
$977$	−31.4189	+	8.41867i	−1.00518	+	0.269337i	−0.723614	−	0.690205i	$-0.757521\pi$
$977$	−31.4189	+	8.41867i	−1.00518	+	0.269337i	−0.281566	+	0.959542i	$0.590854\pi$
$978$	−27.1652	+	23.1316i	−0.868648	+	0.739667i
$979$	−19.8275	−	23.6295i	−0.633689	−	0.755201i
$980$	−3.48587	+	3.69597i	−0.111352	+	0.118064i
$981$	−16.1330	+	9.62858i	−0.515087	+	0.307417i
$982$	9.37576	−	4.37199i	0.299192	−	0.139516i
$983$	−26.4156	−	37.7254i	−0.842526	−	1.20325i	−0.977191	−	0.212361i	$-0.931885\pi$
$983$	−26.4156	−	37.7254i	−0.842526	−	1.20325i	0.134665	−	0.990891i	$-0.457004\pi$
$984$	7.87396	+	5.42886i	0.251013	+	0.173066i
$985$	−26.7183	−	21.1192i	−0.851314	−	0.672915i
$986$	3.69374	−	4.40203i	0.117633	−	0.140189i
$987$	−0.0932285	−	12.8735i	−0.00296749	−	0.409769i
$988$	14.4526	+	7.00890i	0.459798	+	0.222983i
$989$	12.3422			0.392459
$990$	−32.7691	−	4.31093i	−1.04147	−	0.137010i
$991$	−47.8643	+	17.4212i	−1.52046	+	0.553402i	−0.961263	−	0.275633i	$-0.911113\pi$
$991$	−47.8643	+	17.4212i	−1.52046	+	0.553402i	−0.559197	+	0.829035i	$0.688890\pi$
$992$	1.93589	−	2.76474i	0.0614646	−	0.0877806i
$993$	−8.04599	−	1.35872i	−0.255332	−	0.0431177i
$994$	−11.1238	+	30.5625i	−0.352827	+	0.969384i
$995$	35.5397	−	10.6460i	1.12668	−	0.337500i
$996$	−2.83192	−	10.2708i	−0.0897328	−	0.325442i
$997$	2.13662	−	24.4216i	0.0676673	−	0.773441i	−0.884236	−	0.467041i	$-0.845320\pi$
$997$	2.13662	−	24.4216i	0.0676673	−	0.773441i	0.951903	−	0.306400i	$-0.0991245\pi$
$998$	−0.901860	+	10.3083i	−0.0285479	+	0.326304i
$999$	18.2743	−	5.32465i	0.578172	−	0.168464i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.263.34	yes	480
3.2	odd	2	inner	570.2.bi.a.263.18	✓	480
5.2	odd	4	inner	570.2.bi.a.377.19	yes	480
15.2	even	4	inner	570.2.bi.a.377.28	yes	480
19.6	even	9	inner	570.2.bi.a.443.28	yes	480
57.44	odd	18	inner	570.2.bi.a.443.19	yes	480
95.82	odd	36	inner	570.2.bi.a.557.18	yes	480
285.272	even	36	inner	570.2.bi.a.557.34	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.263.18	✓	480	3.2	odd	2	inner
570.2.bi.a.263.34	yes	480	1.1	even	1	trivial
570.2.bi.a.377.19	yes	480	5.2	odd	4	inner
570.2.bi.a.377.28	yes	480	15.2	even	4	inner
570.2.bi.a.443.19	yes	480	57.44	odd	18	inner
570.2.bi.a.443.28	yes	480	19.6	even	9	inner
570.2.bi.a.557.18	yes	480	95.82	odd	36	inner
570.2.bi.a.557.34	yes	480	285.272	even	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)

\(f(q)\)	\(=\)	\(q+(0.0871557 + 0.996195i) q^{2} +(0.604167 + 1.62326i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-0.885339 + 2.05333i) q^{5} +(-1.56443 + 0.743345i) q^{6} +(2.10029 + 0.562771i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.26996 + 1.96144i) q^{9} +O(q^{10})\)	\(q+(0.0871557 + 0.996195i) q^{2} +(0.604167 + 1.62326i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-0.885339 + 2.05333i) q^{5} +(-1.56443 + 0.743345i) q^{6} +(2.10029 + 0.562771i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.26996 + 1.96144i) q^{9} +(-2.12268 - 0.703010i) q^{10} +(-4.26692 - 2.46351i) q^{11} +(-0.876865 - 1.49369i) q^{12} +(1.55734 + 3.33972i) q^{13} +(-0.377577 + 2.14135i) q^{14} +(-3.86799 - 0.196581i) q^{15} +(0.939693 - 0.342020i) q^{16} +(-0.0644939 - 0.737169i) q^{17} +(-2.15182 - 2.09037i) q^{18} +(-3.80763 + 2.12178i) q^{19} +(0.515331 - 2.17588i) q^{20} +(0.355401 + 3.74933i) q^{21} +(2.08225 - 4.46540i) q^{22} +(6.88940 + 4.82401i) q^{23} +(1.41158 - 1.00371i) q^{24} +(-3.43235 - 3.63579i) q^{25} +(-3.19128 + 1.84249i) q^{26} +(-4.55538 - 2.49971i) q^{27} +(-2.16611 - 0.189510i) q^{28} +(5.94881 - 4.99165i) q^{29} +(-0.141285 - 3.87041i) q^{30} +(-1.68756 - 2.92294i) q^{31} +(0.422618 + 0.906308i) q^{32} +(1.42099 - 8.41471i) q^{33} +(0.728743 - 0.128497i) q^{34} +(-3.01502 + 3.81435i) q^{35} +(1.89488 - 2.32582i) q^{36} +(-2.59022 + 2.59022i) q^{37} +(-2.44557 - 3.60821i) q^{38} +(-4.48035 + 4.54572i) q^{39} +(2.21251 + 0.323730i) q^{40} +(1.88858 + 5.18882i) q^{41} +(-3.70409 + 0.680824i) q^{42} +(1.20210 - 0.841718i) q^{43} +(4.62988 + 1.68514i) q^{44} +(-2.01781 - 6.39753i) q^{45} +(-4.20520 + 7.28362i) q^{46} +(-3.40531 - 0.297926i) q^{47} +(1.12292 + 1.31873i) q^{48} +(-1.96767 - 1.13604i) q^{49} +(3.32281 - 3.73617i) q^{50} +(1.15765 - 0.550064i) q^{51} +(-2.11361 - 3.01855i) q^{52} +(-1.78702 - 1.25128i) q^{53} +(2.09317 - 4.75591i) q^{54} +(8.83608 - 6.58037i) q^{55} -2.17438i q^{56} +(-5.74466 - 4.89887i) q^{57} +(5.49112 + 5.49112i) q^{58} +(0.260072 + 0.218226i) q^{59} +(3.84336 - 0.478075i) q^{60} +(2.17200 + 12.3180i) q^{61} +(2.76474 - 1.93589i) q^{62} +(-5.87143 + 2.84213i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-8.23633 + 0.240948i) q^{65} +(8.50654 + 0.682190i) q^{66} +(-0.241436 + 2.75962i) q^{67} +(0.191522 + 0.714770i) q^{68} +(-3.66828 + 14.0978i) q^{69} +(-4.06261 - 2.67111i) q^{70} +(14.7306 + 2.59739i) q^{71} +(2.48212 + 1.68496i) q^{72} +(6.92199 + 3.22778i) q^{73} +(-2.80612 - 2.35461i) q^{74} +(3.82813 - 7.76823i) q^{75} +(3.38134 - 2.75074i) q^{76} +(-7.57539 - 7.57539i) q^{77} +(-4.91891 - 4.06712i) q^{78} +(0.282184 + 0.775293i) q^{79} +(-0.129665 + 2.23231i) q^{80} +(1.30547 - 8.90482i) q^{81} +(-5.00448 + 2.33363i) q^{82} +(5.94152 + 1.59202i) q^{83} +(-1.00107 - 3.63065i) q^{84} +(1.57075 + 0.520217i) q^{85} +(0.943285 + 1.12416i) q^{86} +(11.6968 + 6.64070i) q^{87} +(-1.27521 + 4.75914i) q^{88} +(5.88303 + 2.14125i) q^{89} +(6.19733 - 2.56771i) q^{90} +(1.39136 + 7.89081i) q^{91} +(-7.62241 - 3.55439i) q^{92} +(3.72513 - 4.50530i) q^{93} -3.41832i q^{94} +(-0.985686 - 9.69683i) q^{95} +(-1.21584 + 1.23358i) q^{96} +(-2.02829 + 0.177453i) q^{97} +(0.960219 - 2.05920i) q^{98} +(14.5178 - 2.77726i) 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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