LMFDB - Embedded newform 483.2.q.a.211.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(64,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 12]))

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

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

chi := DirichletCharacter("483.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.q (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			211.1
Root			$0.959493 + 0.281733i$ of defining polynomial
Character	$\chi$	$=$	483.211
Dual form			483.2.q.a.190.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0982369 + 0.215109i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(1.27310 - 1.46924i) q^{4} +(-0.841254 - 0.540641i) q^{5} +(-0.154861 - 0.178719i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(0.894911 + 0.262769i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(0.0982369 + 0.215109i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(1.27310 - 1.46924i) q^{4} +(-0.841254 - 0.540641i) q^{5} +(-0.154861 - 0.178719i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(0.894911 + 0.262769i) q^{8} +(0.841254 - 0.540641i) q^{9} +(0.0336545 - 0.234072i) q^{10} +(-0.827602 + 1.81219i) q^{11} +(-0.807599 + 1.76840i) q^{12} +(0.561616 - 3.90612i) q^{13} +(0.198939 - 0.127850i) q^{14} +(0.959493 + 0.281733i) q^{15} +(-0.521953 - 3.63026i) q^{16} +(-2.66232 - 3.07248i) q^{17} +(0.198939 + 0.127850i) q^{18} +(-0.0577299 + 0.0666238i) q^{19} +(-1.86533 + 0.547710i) q^{20} +(0.415415 + 0.909632i) q^{21} -0.471120 q^{22} +(4.79474 - 0.102391i) q^{23} -0.932691 q^{24} +(-1.66166 - 3.63853i) q^{25} +(0.895412 - 0.262917i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-1.63546 - 1.05105i) q^{28} +(-2.80353 - 3.23544i) q^{29} +(0.0336545 + 0.234072i) q^{30} +(-4.68482 - 1.37559i) q^{31} +(2.29889 - 1.47740i) q^{32} +(0.283524 - 1.97195i) q^{33} +(0.399379 - 0.874518i) q^{34} +(-0.415415 + 0.909632i) q^{35} +(0.276671 - 1.92429i) q^{36} +(3.51409 - 2.25837i) q^{37} +(-0.0200026 - 0.00587328i) q^{38} +(0.561616 + 3.90612i) q^{39} +(-0.610783 - 0.704881i) q^{40} +(2.35677 + 1.51460i) q^{41} +(-0.154861 + 0.178719i) q^{42} +(9.65927 - 2.83622i) q^{43} +(1.60892 + 3.52305i) q^{44} -1.00000 q^{45} +(0.493045 + 1.02133i) q^{46} -0.958306 q^{47} +(1.52357 + 3.33616i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(0.619443 - 0.714875i) q^{50} +(3.42009 + 2.19796i) q^{51} +(-5.02402 - 5.79803i) q^{52} +(1.66912 + 11.6090i) q^{53} +(-0.226900 - 0.0666238i) q^{54} +(1.67597 - 1.07708i) q^{55} +(0.132736 - 0.923198i) q^{56} +(0.0366213 - 0.0801894i) q^{57} +(0.420562 - 0.920903i) q^{58} +(0.917627 - 6.38224i) q^{59} +(1.63546 - 1.05105i) q^{60} +(2.16250 + 0.634969i) q^{61} +(-0.164321 - 1.14288i) q^{62} +(-0.654861 - 0.755750i) q^{63} +(-5.62711 - 3.61633i) q^{64} +(-2.58427 + 2.98241i) q^{65} +(0.452036 - 0.132730i) q^{66} +(2.71443 + 5.94378i) q^{67} -7.90359 q^{68} +(-4.57167 + 1.44908i) q^{69} -0.236479 q^{70} +(0.811902 + 1.77782i) q^{71} +(0.894911 - 0.262769i) q^{72} +(-4.59028 + 5.29746i) q^{73} +(0.831009 + 0.534057i) q^{74} +(2.61944 + 3.02300i) q^{75} +(0.0243902 + 0.169638i) q^{76} +(1.91153 + 0.561276i) q^{77} +(-0.785070 + 0.504534i) q^{78} +(-0.457332 + 3.18082i) q^{79} +(-1.52357 + 3.33616i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.0942827 + 0.655751i) q^{82} +(4.99739 - 3.21163i) q^{83} +(1.86533 + 0.547710i) q^{84} +(0.578577 + 4.02409i) q^{85} +(1.55899 + 1.79917i) q^{86} +(3.60149 + 2.31454i) q^{87} +(-1.21682 + 1.40428i) q^{88} +(-9.84173 + 2.88979i) q^{89} +(-0.0982369 - 0.215109i) q^{90} -3.94629 q^{91} +(5.95375 - 7.17496i) q^{92} +4.88260 q^{93} +(-0.0941410 - 0.206140i) q^{94} +(0.0845850 - 0.0248364i) q^{95} +(-1.78953 + 2.06523i) q^{96} +(9.57485 + 6.15338i) q^{97} +(-0.154861 - 0.178719i) q^{98} +(0.283524 + 1.97195i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + 4 q^{2} - q^{3} + 8 q^{4} + q^{5} + 4 q^{6} - q^{7} - 7 q^{8} - q^{9}+O(q^{10}) $ 10 * q + 4 * q^2 - q^3 + 8 * q^4 + q^5 + 4 * q^6 - q^7 - 7 * q^8 - q^9	\( 10 q + 4 q^{2} - q^{3} + 8 q^{4} + q^{5} + 4 q^{6} - q^{7} - 7 q^{8} - q^{9} - 4 q^{10} - q^{11} - 3 q^{12} + 15 q^{13} - 7 q^{14} + q^{15} - 10 q^{16} - 24 q^{17} - 7 q^{18} + 5 q^{19} - 8 q^{20} - q^{21} + 26 q^{22} + 21 q^{23} - 18 q^{24} + 4 q^{25} + 6 q^{26} - q^{27} - 3 q^{28} - 22 q^{29} - 4 q^{30} - 8 q^{31} + 10 q^{32} - q^{33} + 8 q^{34} + q^{35} - 14 q^{36} - 2 q^{37} + 2 q^{38} + 15 q^{39} - 4 q^{40} + 7 q^{41} + 4 q^{42} + q^{43} + 19 q^{44} - 10 q^{45} + 15 q^{46} - 6 q^{47} + q^{48} - q^{49} - 16 q^{50} + 20 q^{51} - 21 q^{52} - q^{53} - 7 q^{54} + 12 q^{55} + 4 q^{56} - 6 q^{57} + 22 q^{58} + 10 q^{59} + 3 q^{60} + 5 q^{61} - 34 q^{62} - q^{63} + 13 q^{64} - 4 q^{65} - 7 q^{66} + 29 q^{67} - 28 q^{68} - q^{69} - 4 q^{70} + 22 q^{71} - 7 q^{72} - 33 q^{73} - 36 q^{74} + 4 q^{75} + 26 q^{76} - q^{77} + 28 q^{78} + 27 q^{79} - q^{80} - q^{81} + 38 q^{82} + 25 q^{83} + 8 q^{84} + 2 q^{85} + 18 q^{86} - 7 q^{88} - 38 q^{89} - 4 q^{90} - 18 q^{91} + 41 q^{92} - 30 q^{93} - 42 q^{94} + 6 q^{95} - 23 q^{96} - q^{97} + 4 q^{98} - q^{99}+O(q^{100}) \) 10 * q + 4 * q^2 - q^3 + 8 * q^4 + q^5 + 4 * q^6 - q^7 - 7 * q^8 - q^9 - 4 * q^10 - q^11 - 3 * q^12 + 15 * q^13 - 7 * q^14 + q^15 - 10 * q^16 - 24 * q^17 - 7 * q^18 + 5 * q^19 - 8 * q^20 - q^21 + 26 * q^22 + 21 * q^23 - 18 * q^24 + 4 * q^25 + 6 * q^26 - q^27 - 3 * q^28 - 22 * q^29 - 4 * q^30 - 8 * q^31 + 10 * q^32 - q^33 + 8 * q^34 + q^35 - 14 * q^36 - 2 * q^37 + 2 * q^38 + 15 * q^39 - 4 * q^40 + 7 * q^41 + 4 * q^42 + q^43 + 19 * q^44 - 10 * q^45 + 15 * q^46 - 6 * q^47 + q^48 - q^49 - 16 * q^50 + 20 * q^51 - 21 * q^52 - q^53 - 7 * q^54 + 12 * q^55 + 4 * q^56 - 6 * q^57 + 22 * q^58 + 10 * q^59 + 3 * q^60 + 5 * q^61 - 34 * q^62 - q^63 + 13 * q^64 - 4 * q^65 - 7 * q^66 + 29 * q^67 - 28 * q^68 - q^69 - 4 * q^70 + 22 * q^71 - 7 * q^72 - 33 * q^73 - 36 * q^74 + 4 * q^75 + 26 * q^76 - q^77 + 28 * q^78 + 27 * q^79 - q^80 - q^81 + 38 * q^82 + 25 * q^83 + 8 * q^84 + 2 * q^85 + 18 * q^86 - 7 * q^88 - 38 * q^89 - 4 * q^90 - 18 * q^91 + 41 * q^92 - 30 * q^93 - 42 * q^94 + 6 * q^95 - 23 * q^96 - q^97 + 4 * q^98 - q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$1$	$e\left(\frac{2}{11}\right)$

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 $

$2$	0.0982369	+	0.215109i	0.0694640	+	0.152105i	0.941179	−	0.337908i	$-0.109719\pi$
$2$	0.0982369	+	0.215109i	0.0694640	+	0.152105i	−0.871715	+	0.490013i	$0.836992\pi$
$3$	−0.959493	+	0.281733i	−0.553964	+	0.162658i
$3$	−0.959493	+	0.281733i	−0.553964	+	0.162658i
$4$	1.27310	−	1.46924i	0.636550	−	0.734618i
$5$	−0.841254	−	0.540641i	−0.376220	−	0.241782i	0.338841	−	0.940843i	$-0.389965\pi$
$5$	−0.841254	−	0.540641i	−0.376220	−	0.241782i	−0.715061	+	0.699062i	$0.753601\pi$
$6$	−0.154861	−	0.178719i	−0.0632216	−	0.0729617i
$7$	−0.142315	−	0.989821i	−0.0537900	−	0.374117i
$7$	−0.142315	−	0.989821i	−0.0537900	−	0.374117i
$8$	0.894911	+	0.262769i	0.316399	+	0.0929030i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	0.0336545	−	0.234072i	0.0106425	−	0.0740200i
$11$	−0.827602	+	1.81219i	−0.249531	+	0.546397i	−0.992402	−	0.123038i	$-0.960736\pi$
$11$	−0.827602	+	1.81219i	−0.249531	+	0.546397i	0.742871	+	0.669435i	$0.233464\pi$
$12$	−0.807599	+	1.76840i	−0.233134	+	0.510492i
$13$	0.561616	−	3.90612i	0.155764	−	1.08336i	−0.750567	−	0.660795i	$-0.770219\pi$
$13$	0.561616	−	3.90612i	0.155764	−	1.08336i	0.906331	−	0.422569i	$-0.138871\pi$
$14$	0.198939	−	0.127850i	0.0531686	−	0.0341694i
$15$	0.959493	+	0.281733i	0.247740	+	0.0727430i
$16$	−0.521953	−	3.63026i	−0.130488	−	0.907566i
$17$	−2.66232	−	3.07248i	−0.645707	−	0.745185i	0.334666	−	0.942337i	$-0.391376\pi$
$17$	−2.66232	−	3.07248i	−0.645707	−	0.745185i	−0.980373	+	0.197151i	$0.936831\pi$
$18$	0.198939	+	0.127850i	0.0468903	+	0.0301346i
$19$	−0.0577299	+	0.0666238i	−0.0132441	+	0.0152845i	−0.762333	−	0.647185i	$-0.775946\pi$
$19$	−0.0577299	+	0.0666238i	−0.0132441	+	0.0152845i	0.749089	+	0.662470i	$0.230492\pi$
$20$	−1.86533	+	0.547710i	−0.417100	+	0.122472i
$21$	0.415415	+	0.909632i	0.0906510	+	0.198498i
$22$	−0.471120			−0.100443
$23$	4.79474	−	0.102391i	0.999772	−	0.0213499i
$23$	4.79474	−	0.102391i	0.999772	−	0.0213499i
$24$	−0.932691			−0.190385
$25$	−1.66166	−	3.63853i	−0.332332	−	0.727706i
$26$	0.895412	−	0.262917i	0.175605	−	0.0515622i
$27$	−0.654861	+	0.755750i	−0.126028	+	0.145444i
$28$	−1.63546	−	1.05105i	−0.309073	−	0.198629i
$29$	−2.80353	−	3.23544i	−0.520602	−	0.600806i	0.433180	−	0.901308i	$-0.357392\pi$
$29$	−2.80353	−	3.23544i	−0.520602	−	0.600806i	−0.953781	+	0.300501i	$0.902846\pi$
$30$	0.0336545	+	0.234072i	0.00614443	+	0.0427355i
$31$	−4.68482	−	1.37559i	−0.841418	−	0.247063i	−0.167503	−	0.985872i	$-0.553570\pi$
$31$	−4.68482	−	1.37559i	−0.841418	−	0.247063i	−0.673915	+	0.738809i	$0.735389\pi$
$32$	2.29889	−	1.47740i	0.406389	−	0.261171i
$33$	0.283524	−	1.97195i	0.0493551	−	0.343273i
$34$	0.399379	−	0.874518i	0.0684930	−	0.149979i
$35$	−0.415415	+	0.909632i	−0.0702180	+	0.153756i
$36$	0.276671	−	1.92429i	0.0461119	−	0.320715i
$37$	3.51409	−	2.25837i	0.577713	−	0.371274i	−0.218914	−	0.975744i	$-0.570252\pi$
$37$	3.51409	−	2.25837i	0.577713	−	0.371274i	0.796628	+	0.604470i	$0.206615\pi$
$38$	−0.0200026	−	0.00587328i	−0.00324484	−	0.000952772i
$39$	0.561616	+	3.90612i	0.0899305	+	0.625480i
$40$	−0.610783	−	0.704881i	−0.0965732	−	0.111451i
$41$	2.35677	+	1.51460i	0.368065	+	0.236541i	0.711578	−	0.702607i	$-0.247981\pi$
$41$	2.35677	+	1.51460i	0.368065	+	0.236541i	−0.343513	+	0.939148i	$0.611617\pi$
$42$	−0.154861	+	0.178719i	−0.0238955	+	0.0275769i
$43$	9.65927	−	2.83622i	1.47302	−	0.432519i	0.555943	−	0.831220i	$-0.312357\pi$
$43$	9.65927	−	2.83622i	1.47302	−	0.432519i	0.917081	+	0.398701i	$0.130539\pi$
$44$	1.60892	+	3.52305i	0.242554	+	0.531119i
$45$	−1.00000			−0.149071
$46$	0.493045	+	1.02133i	0.0726956	+	0.150587i
$47$	−0.958306			−0.139783			−0.0698916	−	0.997555i	$-0.522265\pi$
$47$	−0.958306			−0.139783			−0.0698916	+	0.997555i	$0.522265\pi$
$48$	1.52357	+	3.33616i	0.219909	+	0.481533i
$49$	−0.959493	+	0.281733i	−0.137070	+	0.0402475i
$50$	0.619443	−	0.714875i	0.0876025	−	0.101099i
$51$	3.42009	+	2.19796i	0.478909	+	0.307776i
$52$	−5.02402	−	5.79803i	−0.696707	−	0.804042i
$53$	1.66912	+	11.6090i	0.229271	+	1.59461i	0.701192	+	0.712973i	$0.252652\pi$
$53$	1.66912	+	11.6090i	0.229271	+	1.59461i	−0.471921	+	0.881641i	$0.656439\pi$
$54$	−0.226900	−	0.0666238i	−0.0308772	−	0.00906635i
$55$	1.67597	−	1.07708i	0.225988	−	0.145233i
$56$	0.132736	−	0.923198i	0.0177376	−	0.123367i
$57$	0.0366213	−	0.0801894i	0.00485061	−	0.0106214i
$58$	0.420562	−	0.920903i	0.0552225	−	0.120920i
$59$	0.917627	−	6.38224i	0.119465	−	0.830896i	−0.838682	−	0.544621i	$-0.816674\pi$
$59$	0.917627	−	6.38224i	0.119465	−	0.830896i	0.958147	−	0.286276i	$-0.0924173\pi$
$60$	1.63546	−	1.05105i	0.211137	−	0.135690i
$61$	2.16250	+	0.634969i	0.276880	+	0.0812994i	0.417225	−	0.908803i	$-0.363003\pi$
$61$	2.16250	+	0.634969i	0.276880	+	0.0812994i	−0.140344	+	0.990103i	$0.544821\pi$
$62$	−0.164321	−	1.14288i	−0.0208688	−	0.145146i
$63$	−0.654861	−	0.755750i	−0.0825047	−	0.0952155i
$64$	−5.62711	−	3.61633i	−0.703389	−	0.452041i
$65$	−2.58427	+	2.98241i	−0.320539	+	0.369922i
$66$	0.452036	−	0.132730i	0.0556418	−	0.0163379i
$67$	2.71443	+	5.94378i	0.331621	+	0.726149i	0.999841	−	0.0178147i	$-0.00567091\pi$
$67$	2.71443	+	5.94378i	0.331621	+	0.726149i	−0.668220	+	0.743963i	$0.732944\pi$
$68$	−7.90359			−0.958451
$69$	−4.57167	+	1.44908i	−0.550365	+	0.174448i
$70$	−0.236479			−0.0282646
$71$	0.811902	+	1.77782i	0.0963550	+	0.210988i	0.951671	−	0.307118i	$-0.0993646\pi$
$71$	0.811902	+	1.77782i	0.0963550	+	0.210988i	−0.855316	+	0.518106i	$0.826637\pi$
$72$	0.894911	−	0.262769i	0.105466	−	0.0309677i
$73$	−4.59028	+	5.29746i	−0.537251	+	0.620021i	−0.957865	−	0.287219i	$-0.907269\pi$
$73$	−4.59028	+	5.29746i	−0.537251	+	0.620021i	0.420614	+	0.907240i	$0.361815\pi$
$74$	0.831009	+	0.534057i	0.0966028	+	0.0620828i
$75$	2.61944	+	3.02300i	0.302467	+	0.349066i
$76$	0.0243902	+	0.169638i	0.00279775	+	0.0194588i
$77$	1.91153	+	0.561276i	0.217839	+	0.0639633i
$78$	−0.785070	+	0.504534i	−0.0888916	+	0.0571272i
$79$	−0.457332	+	3.18082i	−0.0514539	+	0.357870i	0.947787	+	0.318905i	$0.103315\pi$
$79$	−0.457332	+	3.18082i	−0.0514539	+	0.357870i	−0.999241	+	0.0389648i	$0.987594\pi$
$80$	−1.52357	+	3.33616i	−0.170341	+	0.372994i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	−0.0942827	+	0.655751i	−0.0104118	+	0.0724156i
$83$	4.99739	−	3.21163i	0.548535	−	0.352522i	−0.236834	−	0.971550i	$-0.576110\pi$
$83$	4.99739	−	3.21163i	0.548535	−	0.352522i	0.785369	+	0.619028i	$0.212473\pi$
$84$	1.86533	+	0.547710i	0.203524	+	0.0597601i
$85$	0.578577	+	4.02409i	0.0627555	+	0.436474i
$86$	1.55899	+	1.79917i	0.168110	+	0.194010i
$87$	3.60149	+	2.31454i	0.386121	+	0.248145i
$88$	−1.21682	+	1.40428i	−0.129713	+	0.149697i
$89$	−9.84173	+	2.88979i	−1.04322	+	0.306317i	−0.758076	−	0.652167i	$-0.773860\pi$
$89$	−9.84173	+	2.88979i	−1.04322	+	0.306317i	−0.285146	+	0.958484i	$0.592042\pi$
$90$	−0.0982369	−	0.215109i	−0.0103551	−	0.0226745i
$91$	−3.94629			−0.413684
$92$	5.95375	−	7.17496i	0.620721	−	0.748041i
$93$	4.88260			0.506302
$94$	−0.0941410	−	0.206140i	−0.00970990	−	0.0212617i
$95$	0.0845850	−	0.0248364i	0.00867824	−	0.00254816i
$96$	−1.78953	+	2.06523i	−0.182643	+	0.210782i
$97$	9.57485	+	6.15338i	0.972179	+	0.624782i	0.927343	−	0.374213i	$-0.122087\pi$
$97$	9.57485	+	6.15338i	0.972179	+	0.624782i	0.0448362	+	0.998994i	$0.485723\pi$
$98$	−0.154861	−	0.178719i	−0.0156433	−	0.0180533i
$99$	0.283524	+	1.97195i	0.0284952	+	0.198188i
$100$	−7.46132	−	2.19084i	−0.746132	−	0.219084i
$101$	−14.7108	+	9.45407i	−1.46378	+	0.940715i	−0.465327	+	0.885139i	$0.654063\pi$
$101$	−14.7108	+	9.45407i	−1.46378	+	0.940715i	−0.998454	+	0.0555768i	$0.982300\pi$
$102$	−0.136821	+	0.951612i	−0.0135473	+	0.0942237i
$103$	0.148795	−	0.325815i	0.0146612	−	0.0321035i	−0.902160	−	0.431402i	$-0.858019\pi$
$103$	0.148795	−	0.325815i	0.0146612	−	0.0321035i	0.916821	+	0.399299i	$0.130746\pi$
$104$	1.52901	−	3.34805i	0.149931	−	0.328304i
$105$	0.142315	−	0.989821i	0.0138885	−	0.0965967i
$106$	−2.33322	+	1.49947i	−0.226622	+	0.145641i
$107$	17.1173	+	5.02610i	1.65480	+	0.485892i	0.970053	−	0.242893i	$-0.0780964\pi$
$107$	17.1173	+	5.02610i	1.65480	+	0.485892i	0.684743	+	0.728785i	$0.259915\pi$
$108$	0.276671	+	1.92429i	0.0266227	+	0.185165i
$109$	−10.6559	−	12.2976i	−1.02065	−	1.17790i	−0.983927	−	0.178572i	$-0.942852\pi$
$109$	−10.6559	−	12.2976i	−1.02065	−	1.17790i	−0.0367273	−	0.999325i	$-0.511693\pi$
$110$	0.396331	+	0.254707i	0.0377887	+	0.0242853i
$111$	−2.73549	+	3.15692i	−0.259641	+	0.299642i
$112$	−3.51903	+	1.03328i	−0.332517	+	0.0976358i
$113$	5.30699	+	11.6207i	0.499239	+	1.09318i	0.976716	+	0.214537i	$0.0688243\pi$
$113$	5.30699	+	11.6207i	0.499239	+	1.09318i	−0.477477	+	0.878644i	$0.658448\pi$
$114$	0.0208470			0.00195250
$115$	−4.08895	−	2.50609i	−0.381296	−	0.233695i
$116$	−8.32280			−0.772752
$117$	−1.63935	−	3.58967i	−0.151558	−	0.331865i
$118$	1.46302	−	0.429581i	0.134682	−	0.0395462i
$119$	−2.66232	+	3.07248i	−0.244054	+	0.281654i
$120$	0.784630	+	0.504251i	0.0716266	+	0.0460316i
$121$	4.60434	+	5.31369i	0.418577	+	0.483063i
$122$	0.0758504	+	0.527551i	0.00686717	+	0.0477622i
$123$	−2.68801	−	0.789272i	−0.242370	−	0.0711663i
$124$	−7.98530	+	5.13184i	−0.717101	+	0.460853i
$125$	−1.28083	+	8.90839i	−0.114561	+	0.796791i
$126$	0.0982369	−	0.215109i	0.00875164	−	0.0191634i
$127$	−6.41396	+	14.0446i	−0.569147	+	1.24626i	0.378103	+	0.925764i	$0.376577\pi$
$127$	−6.41396	+	14.0446i	−0.569147	+	1.24626i	−0.947250	+	0.320495i	$0.896151\pi$
$128$	1.00292	−	6.97545i	0.0886463	−	0.616548i
$129$	−8.46894	+	5.44266i	−0.745649	+	0.479199i
$130$	−0.895412	−	0.262917i	−0.0785329	−	0.0230593i
$131$	0.891197	+	6.19841i	0.0778642	+	0.541558i	0.990996	+	0.133893i	$0.0427477\pi$
$131$	0.891197	+	6.19841i	0.0778642	+	0.541558i	−0.913132	+	0.407665i	$0.866343\pi$
$132$	−2.53631	−	2.92705i	−0.220757	−	0.254767i
$133$	0.0741615	+	0.0476607i	0.00643062	+	0.00413271i
$134$	−1.01190	+	1.16780i	−0.0874150	+	0.100882i
$135$	0.959493	−	0.281733i	0.0825800	−	0.0242477i
$136$	−1.57518	−	3.44917i	−0.135071	−	0.295764i
$137$	−2.54230			−0.217203			−0.108602	−	0.994085i	$-0.534637\pi$
$137$	−2.54230			−0.217203			−0.108602	+	0.994085i	$0.534637\pi$
$138$	−0.760816	−	0.841054i	−0.0647649	−	0.0715952i
$139$	22.9704			1.94832			0.974162	−	0.225852i	$-0.0725167\pi$
$139$	22.9704			1.94832			0.974162	+	0.225852i	$0.0725167\pi$
$140$	0.807599	+	1.76840i	0.0682546	+	0.149457i
$141$	0.919488	−	0.269986i	0.0774348	−	0.0227369i
$142$	−0.302665	+	0.349294i	−0.0253991	+	0.0293121i
$143$	6.61386	+	4.25047i	0.553079	+	0.355442i
$144$	−2.40176	−	2.77178i	−0.200147	−	0.230982i
$145$	0.609264	+	4.23753i	0.0505967	+	0.351908i
$146$	−1.59047	−	0.467003i	−0.131628	−	0.0386494i
$147$	0.841254	−	0.540641i	0.0693854	−	0.0445913i
$148$	1.15571	−	8.03816i	0.0949990	−	0.660733i
$149$	4.43496	−	9.71121i	0.363326	−	0.795573i	−0.636381	−	0.771375i	$-0.719569\pi$
$149$	4.43496	−	9.71121i	0.363326	−	0.795573i	0.999707	−	0.0241984i	$-0.00770336\pi$
$150$	−0.392948	+	0.860435i	−0.0320840	+	0.0702542i
$151$	1.18810	−	8.26344i	0.0966864	−	0.672469i	−0.882620	−	0.470087i	$-0.844223\pi$
$151$	1.18810	−	8.26344i	0.0966864	−	0.672469i	0.979307	−	0.202382i	$-0.0648683\pi$
$152$	−0.0691698	+	0.0444527i	−0.00561041	+	0.00360559i
$153$	−3.90079	−	1.14538i	−0.315360	−	0.0925981i
$154$	0.0670474	+	0.466325i	0.00540283	+	0.0375775i
$155$	3.19742	+	3.69002i	0.256823	+	0.296390i
$156$	6.45401	+	4.14774i	0.516734	+	0.332085i
$157$	6.62425	−	7.64480i	0.528673	−	0.610121i	−0.427108	−	0.904201i	$-0.640468\pi$
$157$	6.62425	−	7.64480i	0.528673	−	0.610121i	0.955781	+	0.294079i	$0.0950130\pi$
$158$	−0.729149	+	0.214097i	−0.0580079	+	0.0170327i
$159$	−4.87213	−	10.6685i	−0.386385	−	0.846065i
$160$	−2.73269			−0.216038
$161$	−0.783711	−	4.73136i	−0.0617651	−	0.372884i
$162$	0.236479			0.0185795
$163$	−0.582724	−	1.27599i	−0.0456425	−	0.0999431i	0.885437	−	0.464759i	$-0.153859\pi$
$163$	−0.582724	−	1.27599i	−0.0456425	−	0.0999431i	−0.931080	+	0.364816i	$0.881132\pi$
$164$	5.22571	−	1.53441i	0.408059	−	0.119817i
$165$	−1.30463	+	1.50563i	−0.101565	+	0.117213i
$166$	1.18178	+	0.759482i	0.0917237	+	0.0589473i
$167$	2.34919	+	2.71111i	0.181786	+	0.209792i	0.839327	−	0.543626i	$-0.182949\pi$
$167$	2.34919	+	2.71111i	0.181786	+	0.209792i	−0.657542	+	0.753418i	$0.728404\pi$
$168$	0.132736	+	0.923198i	0.0102408	+	0.0712262i
$169$	−2.46897	−	0.724955i	−0.189921	−	0.0557658i
$170$	−0.808780	+	0.519771i	−0.0620306	+	0.0398646i
$171$	−0.0125459	+	0.0872586i	−0.000959409	+	0.00667283i
$172$	8.13014	−	17.8025i	0.619918	−	1.35743i
$173$	1.98727	−	4.35151i	0.151089	−	0.330839i	−0.818920	−	0.573908i	$-0.805427\pi$
$173$	1.98727	−	4.35151i	0.151089	−	0.330839i	0.970009	+	0.243069i	$0.0781541\pi$
$174$	−0.144078	+	1.00209i	−0.0109225	+	0.0759679i
$175$	−3.36501	+	2.16256i	−0.254371	+	0.163474i
$176$	7.01071	+	2.05853i	0.528452	+	0.155168i
$177$	0.917627	+	6.38224i	0.0689731	+	0.479718i
$178$	−1.58844	−	1.83316i	−0.119059	−	0.137401i
$179$	−14.9094	−	9.58166i	−1.11438	−	0.716167i	−0.152135	−	0.988360i	$-0.548615\pi$
$179$	−14.9094	−	9.58166i	−1.11438	−	0.716167i	−0.962243	+	0.272193i	$0.912251\pi$
$180$	−1.27310	+	1.46924i	−0.0948913	+	0.109510i
$181$	18.0062	−	5.28711i	1.33839	−	0.392987i	0.467297	−	0.884101i	$-0.345228\pi$
$181$	18.0062	−	5.28711i	1.33839	−	0.392987i	0.871096	+	0.491113i	$0.163410\pi$
$182$	−0.387671	−	0.848881i	−0.0287361	−	0.0629233i
$183$	−2.25380			−0.166606
$184$	4.31777	+	1.16828i	0.318310	+	0.0861268i
$185$	−4.17721			−0.307115
$186$	0.479651	+	1.05029i	0.0351697	+	0.0770109i
$187$	7.77127	−	2.28185i	0.568291	−	0.166865i
$188$	−1.22002	+	1.40798i	−0.0889791	+	0.102687i
$189$	0.841254	+	0.540641i	0.0611922	+	0.0393258i
$190$	0.0136519	+	0.0157551i	0.000990412	+	0.00114300i
$191$	−1.71408	−	11.9217i	−0.124027	−	0.862625i	−0.952921	−	0.303219i	$-0.901939\pi$
$191$	−1.71408	−	11.9217i	−0.124027	−	0.862625i	0.828894	−	0.559406i	$-0.188971\pi$
$192$	6.41801	+	1.88450i	0.463180	+	0.136002i
$193$	−10.6352	+	6.83484i	−0.765540	+	0.491982i	−0.864206	−	0.503138i	$-0.832179\pi$
$193$	−10.6352	+	6.83484i	−0.765540	+	0.491982i	0.0986663	+	0.995121i	$0.468542\pi$
$194$	−0.383043	+	2.66412i	−0.0275009	+	0.191273i
$195$	1.63935	−	3.58967i	0.117396	−	0.257062i
$196$	−0.807599	+	1.76840i	−0.0576856	+	0.126314i
$197$	1.32968	−	9.24810i	0.0947355	−	0.658900i	−0.886018	−	0.463650i	$-0.846539\pi$
$197$	1.32968	−	9.24810i	0.0947355	−	0.658900i	0.980754	−	0.195249i	$-0.0625515\pi$
$198$	−0.396331	+	0.254707i	−0.0281660	+	0.0181012i
$199$	10.3176	+	3.02952i	0.731394	+	0.214757i	0.626164	−	0.779691i	$-0.284624\pi$
$199$	10.3176	+	3.02952i	0.731394	+	0.214757i	0.105230	+	0.994448i	$0.466442\pi$
$200$	−0.530943	−	3.69279i	−0.0375433	−	0.261120i
$201$	−4.27904	−	4.93827i	−0.301820	−	0.348319i
$202$	−3.47880	−	2.23569i	−0.244767	−	0.157303i
$203$	−2.80353	+	3.23544i	−0.196769	+	0.227083i
$204$	7.58344	−	2.22670i	0.530947	−	0.155900i
$205$	−1.16378	−	2.54833i	−0.0812821	−	0.177983i
$206$	0.0847028			0.00590152
$207$	3.97823	−	2.67837i	0.276506	−	0.186159i
$208$	−14.4734			−1.00355
$209$	−0.0729580	−	0.159756i	−0.00504661	−	0.0110505i
$210$	0.226900	−	0.0666238i	0.0156576	−	0.00459748i
$211$	5.42085	−	6.25599i	0.373186	−	0.430680i	−0.537828	−	0.843055i	$-0.680755\pi$
$211$	5.42085	−	6.25599i	0.373186	−	0.430680i	0.911014	+	0.412374i	$0.135300\pi$
$212$	19.1813	+	12.3270i	1.31737	+	0.846625i
$213$	−1.27988	−	1.47706i	−0.0876961	−	0.101207i
$214$	0.600395	+	4.17584i	0.0410422	+	0.285454i
$215$	−9.65927	−	2.83622i	−0.658757	−	0.193428i
$216$	−0.784630	+	0.504251i	−0.0533873	+	0.0343099i
$217$	−0.694866	+	4.83290i	−0.0471706	+	0.328079i
$218$	1.59852	−	3.50027i	0.108265	−	0.237068i
$219$	2.91187	−	6.37611i	0.196766	−	0.430858i
$220$	0.551192	−	3.83363i	0.0371614	−	0.258463i
$221$	−13.4967	+	8.67379i	−0.907885	+	0.583462i
$222$	−0.947808	−	0.278302i	−0.0636127	−	0.0186784i
$223$	1.61521	+	11.2340i	0.108162	+	0.752286i	0.969648	+	0.244504i	$0.0786252\pi$
$223$	1.61521	+	11.2340i	0.108162	+	0.752286i	−0.861486	+	0.507782i	$0.830466\pi$
$224$	−1.78953	−	2.06523i	−0.119568	−	0.137989i
$225$	−3.36501	−	2.16256i	−0.224334	−	0.144171i
$226$	−1.97837	+	2.28316i	−0.131599	+	0.151873i
$227$	7.05744	−	2.07225i	0.468419	−	0.137540i	−0.0390009	−	0.999239i	$-0.512418\pi$
$227$	7.05744	−	2.07225i	0.468419	−	0.137540i	0.507420	+	0.861699i	$0.330599\pi$
$228$	−0.0711946	−	0.155895i	−0.00471498	−	0.0103244i
$229$	−9.63367			−0.636611			−0.318305	−	0.947988i	$-0.603114\pi$
$229$	−9.63367			−0.636611			−0.318305	+	0.947988i	$0.603114\pi$
$230$	0.137398	−	1.12576i	0.00905973	−	0.0742304i
$231$	−1.99223			−0.131079
$232$	−1.65873	−	3.63211i	−0.108901	−	0.238460i
$233$	13.1756	−	3.86871i	0.863164	−	0.253448i	0.179959	−	0.983674i	$-0.442404\pi$
$233$	13.1756	−	3.86871i	0.863164	−	0.253448i	0.683205	+	0.730226i	$0.260585\pi$
$234$	0.611125	−	0.705276i	0.0399505	−	0.0461053i
$235$	0.806178	+	0.518099i	0.0525893	+	0.0337971i
$236$	−8.20878	−	9.47344i	−0.534346	−	0.616668i
$237$	−0.457332	−	3.18082i	−0.0297069	−	0.206616i
$238$	−0.922455	−	0.270857i	−0.0597939	−	0.0175571i
$239$	−2.94934	+	1.89542i	−0.190777	+	0.122605i	−0.632542	−	0.774526i	$-0.717989\pi$
$239$	−2.94934	+	1.89542i	−0.190777	+	0.122605i	0.441766	+	0.897130i	$0.354352\pi$
$240$	0.521953	−	3.63026i	0.0336919	−	0.234332i
$241$	−3.96523	+	8.68265i	−0.255423	+	0.559298i	−0.993290	−	0.115647i	$-0.963106\pi$
$241$	−3.96523	+	8.68265i	−0.255423	+	0.559298i	0.737867	+	0.674946i	$0.235833\pi$
$242$	−0.690706	+	1.51244i	−0.0444003	+	0.0972230i
$243$	−0.142315	+	0.989821i	−0.00912950	+	0.0634971i
$244$	3.68600	−	2.36885i	0.235972	−	0.151650i
$245$	0.959493	+	0.281733i	0.0612998	+	0.0179992i
$246$	−0.0942827	−	0.655751i	−0.00601125	−	0.0418091i
$247$	0.227819	+	0.262917i	0.0144958	+	0.0167290i
$248$	−3.83103	−	2.46205i	−0.243271	−	0.156341i
$249$	−3.89014	+	4.48946i	−0.246528	+	0.284508i
$250$	−2.04210	+	0.599614i	−0.129154	+	0.0379229i
$251$	−0.280984	−	0.615270i	−0.0177356	−	0.0388355i	0.900557	−	0.434738i	$-0.143159\pi$
$251$	−0.280984	−	0.615270i	−0.0177356	−	0.0388355i	−0.918293	+	0.395903i	$0.870432\pi$
$252$	−1.94408			−0.122465
$253$	−3.78258	+	8.77374i	−0.237809	+	0.551600i
$254$	−3.65121			−0.229097
$255$	−1.68886	−	3.69808i	−0.105760	−	0.231583i
$256$	−11.2370	+	3.29949i	−0.702314	+	0.206218i
$257$	16.8799	−	19.4804i	1.05294	−	1.21516i	0.0770173	−	0.997030i	$-0.475460\pi$
$257$	16.8799	−	19.4804i	1.05294	−	1.21516i	0.975921	−	0.218125i	$-0.0699942\pi$
$258$	−2.00273	−	1.28707i	−0.124684	−	0.0801297i
$259$	−2.73549	−	3.15692i	−0.169975	−	0.196162i
$260$	1.09182	+	7.59381i	0.0677121	+	0.470948i
$261$	−4.10769	−	1.20613i	−0.254260	−	0.0746573i
$262$	−1.24578	+	0.800617i	−0.0769648	+	0.0494623i
$263$	1.50170	−	10.4446i	0.0925989	−	0.644039i	−0.889676	−	0.456593i	$-0.849070\pi$
$263$	1.50170	−	10.4446i	0.0925989	−	0.644039i	0.982275	−	0.187447i	$-0.0600212\pi$
$264$	0.771897	−	1.69022i	0.0475070	−	0.104026i
$265$	4.87213	−	10.6685i	0.299292	−	0.655359i
$266$	−0.00296684	+	0.0206348i	−0.000181909	+	0.00126520i
$267$	8.62892	−	5.54547i	0.528081	−	0.339377i
$268$	12.1886	+	3.57889i	0.744535	+	0.218615i
$269$	−1.04275	−	7.25247i	−0.0635775	−	0.442191i	−0.996601	−	0.0823764i	$-0.973749\pi$
$269$	−1.04275	−	7.25247i	−0.0635775	−	0.442191i	0.933024	−	0.359815i	$-0.117160\pi$
$270$	0.154861	+	0.178719i	0.00942452	+	0.0108765i
$271$	−0.144861	−	0.0930968i	−0.00879971	−	0.00565523i	0.536234	−	0.844070i	$-0.319847\pi$
$271$	−0.144861	−	0.0930968i	−0.00879971	−	0.00565523i	−0.545033	+	0.838414i	$0.683483\pi$
$272$	−9.76430	+	11.2686i	−0.592048	+	0.683259i
$273$	3.78644	−	1.11180i	0.229166	−	0.0672891i
$274$	−0.249748	−	0.546871i	−0.0150878	−	0.0330377i
$275$	7.96891			0.480544
$276$	−3.69116	+	8.56168i	−0.222182	+	0.515353i
$277$	18.0121			1.08224			0.541120	−	0.840945i	$-0.318000\pi$
$277$	18.0121			1.08224			0.541120	+	0.840945i	$0.318000\pi$
$278$	2.25654	+	4.94113i	0.135338	+	0.296349i
$279$	−4.68482	+	1.37559i	−0.280473	+	0.0823542i
$280$	−0.610783	+	0.704881i	−0.0365013	+	0.0421247i
$281$	−21.8368	−	14.0337i	−1.30267	−	0.837178i	−0.309173	−	0.951006i	$-0.600052\pi$
$281$	−21.8368	−	14.0337i	−1.30267	−	0.837178i	−0.993500	+	0.113828i	$0.963689\pi$
$282$	0.148404	+	0.171267i	0.00883733	+	0.0101988i
$283$	4.12297	+	28.6759i	0.245085	+	1.70460i	0.625859	+	0.779936i	$0.284748\pi$
$283$	4.12297	+	28.6759i	0.245085	+	1.70460i	−0.380774	+	0.924668i	$0.624343\pi$
$284$	3.64566	+	1.07046i	0.216330	+	0.0635203i
$285$	−0.0741615	+	0.0476607i	−0.00439295	+	0.00282318i
$286$	−0.264588	+	1.84025i	−0.0156454	+	0.108816i
$287$	1.16378	−	2.54833i	0.0686959	−	0.150423i
$288$	1.13520	−	2.48574i	0.0668923	−	0.146474i
$289$	0.0671647	−	0.467141i	0.00395087	−	0.0274789i
$290$	−0.851677	+	0.547340i	−0.0500122	+	0.0321409i
$291$	−10.9206	−	3.20658i	−0.640178	−	0.187973i
$292$	1.93934	+	13.4884i	0.113491	+	0.789349i
$293$	−16.6438	−	19.2080i	−0.972341	−	1.12214i	−0.992488	−	0.122345i	$-0.960959\pi$
$293$	−16.6438	−	19.2080i	−0.972341	−	1.12214i	0.0201464	−	0.999797i	$-0.493587\pi$
$294$	0.198939	+	0.127850i	0.0116023	+	0.00745637i
$295$	−4.22245	+	4.87297i	−0.245841	+	0.283715i
$296$	3.73823	−	1.09764i	0.217280	−	0.0637992i
$297$	−0.827602	−	1.81219i	−0.0480223	−	0.105154i
$298$	2.52464			0.146249
$299$	2.29285	−	18.7863i	0.132599	−	1.08644i
$300$	7.77631			0.448966
$301$	−4.18201	−	9.15731i	−0.241047	−	0.527819i
$302$	1.89425	−	0.556203i	0.109002	−	0.0320059i
$303$	11.4514	−	13.2156i	0.657866	−	0.759218i
$304$	0.271994	+	0.174800i	0.0155999	+	0.0100255i
$305$	−1.47592	−	1.70331i	−0.0845112	−	0.0975311i
$306$	−0.136821	−	0.951612i	−0.00782155	−	0.0544001i
$307$	22.3459	+	6.56134i	1.27535	+	0.374475i	0.848185	−	0.529700i	$-0.177696\pi$
$307$	22.3459	+	6.56134i	1.27535	+	0.374475i	0.427161	+	0.904176i	$0.359514\pi$
$308$	3.25821	−	2.09393i	0.185654	−	0.119313i
$309$	−0.0509748	+	0.354537i	−0.00289985	+	0.0201689i
$310$	−0.479651	+	1.05029i	−0.0272423	+	0.0596524i
$311$	0.475783	−	1.04182i	0.0269792	−	0.0590761i	−0.895663	−	0.444734i	$-0.853298\pi$
$311$	0.475783	−	1.04182i	0.0269792	−	0.0590761i	0.922642	+	0.385658i	$0.126025\pi$
$312$	−0.523814	+	3.64321i	−0.0296551	+	0.206256i
$313$	−8.90140	+	5.72058i	−0.503137	+	0.323347i	−0.767470	−	0.641085i	$-0.778485\pi$
$313$	−8.90140	+	5.72058i	−0.503137	+	0.323347i	0.264333	+	0.964432i	$0.414848\pi$
$314$	2.29521	+	0.673934i	0.129526	+	0.0380323i
$315$	0.142315	+	0.989821i	0.00801853	+	0.0557701i
$316$	4.09114	+	4.72143i	0.230145	+	0.265601i
$317$	−16.7758	−	10.7812i	−0.942224	−	0.605530i	−0.0231991	−	0.999731i	$-0.507385\pi$
$317$	−16.7758	−	10.7812i	−0.942224	−	0.605530i	−0.919024	+	0.394201i	$0.871022\pi$
$318$	1.81626	−	2.09607i	0.101851	−	0.117542i
$319$	8.18345	−	2.40288i	0.458185	−	0.134535i
$320$	2.77870	+	6.08450i	0.155334	+	0.340134i
$321$	−17.8400			−0.995731
$322$	0.940768	−	0.633377i	0.0524270	−	0.0352967i
$323$	0.358395			0.0199417
$324$	−0.807599	−	1.76840i	−0.0448666	−	0.0982442i
$325$	−15.1457	+	4.44719i	−0.840135	+	0.246686i
$326$	0.217231	−	0.250698i	0.0120313	−	0.0138849i
$327$	13.6889	+	8.79735i	0.757000	+	0.486494i
$328$	1.71110	+	1.97472i	0.0944799	+	0.109036i
$329$	0.136381	+	0.948552i	0.00751894	+	0.0522954i
$330$	−0.452036	−	0.132730i	−0.0248838	−	0.00730654i
$331$	−19.7595	+	12.6987i	−1.08608	+	0.697982i	−0.955954	−	0.293515i	$-0.905175\pi$
$331$	−19.7595	+	12.6987i	−1.08608	+	0.697982i	−0.130127	+	0.991497i	$0.541539\pi$
$332$	1.64354	−	11.4311i	0.0902010	−	0.627362i
$333$	1.73528	−	3.79972i	0.0950925	−	0.208224i
$334$	−0.352407	+	0.771663i	−0.0192828	+	0.0422235i
$335$	0.929924	−	6.46776i	0.0508072	−	0.353372i
$336$	3.08538	−	1.98285i	0.168321	−	0.108173i
$337$	−19.6523	−	5.77044i	−1.07053	−	0.314336i	−0.301446	−	0.953483i	$-0.597469\pi$
$337$	−19.6523	−	5.77044i	−1.07053	−	0.314336i	−0.769084	+	0.639147i	$0.779287\pi$
$338$	−0.0865997	−	0.602314i	−0.00471040	−	0.0327616i
$339$	−8.36594	−	9.65481i	−0.454375	−	0.524377i
$340$	6.64892	+	4.27300i	0.360589	+	0.231736i
$341$	6.36999	−	7.35136i	0.344954	−	0.398099i
$342$	−0.0200026	+	0.00587328i	−0.00108161	+	0.000317591i
$343$	0.415415	+	0.909632i	0.0224303	+	0.0491155i
$344$	9.38945			0.506245
$345$	4.62936	+	1.25259i	0.249237	+	0.0674372i
$346$	1.13127			0.0608175
$347$	4.43684	+	9.71534i	0.238182	+	0.521547i	0.990543	−	0.137205i	$-0.0438120\pi$
$347$	4.43684	+	9.71534i	0.238182	+	0.521547i	−0.752360	+	0.658752i	$0.771085\pi$
$348$	7.98567	−	2.34480i	0.428077	−	0.125695i
$349$	20.9971	−	24.2320i	1.12395	−	1.29711i	0.173987	−	0.984748i	$-0.444335\pi$
$349$	20.9971	−	24.2320i	1.12395	−	1.29711i	0.949964	−	0.312361i	$-0.101120\pi$
$350$	−0.795755	−	0.511401i	−0.0425349	−	0.0273355i
$351$	2.58427	+	2.98241i	0.137938	+	0.159189i
$352$	0.774783	+	5.38873i	0.0412960	+	0.287220i
$353$	−22.7579	−	6.68232i	−1.21128	−	0.355664i	−0.387125	−	0.922027i	$-0.626532\pi$
$353$	−22.7579	−	6.68232i	−1.21128	−	0.355664i	−0.824156	+	0.566363i	$0.808350\pi$
$354$	−1.28273	+	0.824361i	−0.0681763	+	0.0438143i
$355$	0.278145	−	1.93454i	0.0147624	−	0.102675i
$356$	−8.28372	+	18.1388i	−0.439036	+	0.961355i
$357$	1.68886	−	3.69808i	0.0893838	−	0.195723i
$358$	0.596450	−	4.14840i	0.0315234	−	0.219250i
$359$	18.0257	−	11.5844i	0.951360	−	0.611402i	0.0297660	−	0.999557i	$-0.490524\pi$
$359$	18.0257	−	11.5844i	0.951360	−	0.611402i	0.921594	+	0.388155i	$0.126887\pi$
$360$	−0.894911	−	0.262769i	−0.0471659	−	0.0138492i
$361$	2.70288	+	18.7989i	0.142257	+	0.989417i
$362$	2.90618	+	3.35391i	0.152745	+	0.176278i
$363$	−5.91488	−	3.80126i	−0.310450	−	0.199514i
$364$	−5.02402	+	5.79803i	−0.263330	+	0.303899i
$365$	6.72561	−	1.97482i	0.352035	−	0.103367i
$366$	−0.221406	−	0.484812i	−0.0115731	−	0.0253415i
$367$	9.90793			0.517190			0.258595	−	0.965986i	$-0.416741\pi$
$367$	9.90793			0.517190			0.258595	+	0.965986i	$0.416741\pi$
$368$	−2.87433	−	17.3527i	−0.149835	−	0.904573i
$369$	2.80149			0.145840
$370$	−0.410356	−	0.898554i	−0.0213334	−	0.0467136i
$371$	11.2533	−	3.30426i	0.584240	−	0.171548i
$372$	6.21603	−	7.17369i	0.322286	−	0.371938i
$373$	9.85899	+	6.33599i	0.510479	+	0.328065i	0.770396	−	0.637566i	$-0.220059\pi$
$373$	9.85899	+	6.33599i	0.510479	+	0.328065i	−0.259917	+	0.965631i	$0.583695\pi$
$374$	1.25427	+	1.44751i	0.0648568	+	0.0748487i
$375$	−1.28083	−	8.90839i	−0.0661420	−	0.460027i
$376$	−0.857598	−	0.251814i	−0.0442272	−	0.0129863i
$377$	−14.2125	+	9.13384i	−0.731983	+	0.470417i
$378$	−0.0336545	+	0.234072i	−0.00173100	+	0.0120394i
$379$	−7.97056	+	17.4531i	−0.409420	+	0.896505i	0.586808	+	0.809726i	$0.300385\pi$
$379$	−7.97056	+	17.4531i	−0.409420	+	0.896505i	−0.996228	+	0.0867785i	$0.972343\pi$
$380$	0.0711946	−	0.155895i	0.00365221	−	0.00799722i
$381$	2.19733	−	15.2827i	0.112572	−	0.782958i
$382$	2.39608	−	1.53987i	0.122594	−	0.0787864i
$383$	23.9637	+	7.03637i	1.22449	+	0.359542i	0.829167	−	0.559002i	$-0.188815\pi$
$383$	23.9637	+	7.03637i	1.22449	+	0.359542i	0.395320	+	0.918543i	$0.370634\pi$
$384$	1.00292	+	6.97545i	0.0511800	+	0.355964i
$385$	−1.30463	−	1.50563i	−0.0664902	−	0.0767338i
$386$	−2.51500	−	1.61630i	−0.128010	−	0.0822673i
$387$	6.59252	−	7.60817i	0.335117	−	0.386745i
$388$	21.2305	−	6.23384i	1.07782	−	0.316475i
$389$	2.11084	+	4.62209i	0.107024	+	0.234349i	0.955565	−	0.294779i	$-0.0952462\pi$
$389$	2.11084	+	4.62209i	0.107024	+	0.234349i	−0.848542	+	0.529129i	$0.822519\pi$
$390$	0.933214			0.0472551
$391$	−13.0797	−	14.4591i	−0.661469	−	0.731230i
$392$	−0.932691			−0.0471080
$393$	−2.60139	−	5.69625i	−0.131223	−	0.287338i
$394$	2.11997	−	0.622479i	0.106803	−	0.0313601i
$395$	2.10441	−	2.42862i	0.105884	−	0.122197i
$396$	3.25821	+	2.09393i	0.163731	+	0.105224i
$397$	−11.1616	−	12.8812i	−0.560187	−	0.646490i	0.403039	−	0.915183i	$-0.367954\pi$
$397$	−11.1616	−	12.8812i	−0.560187	−	0.646490i	−0.963226	+	0.268693i	$0.913408\pi$
$398$	0.361892	+	2.51701i	0.0181400	+	0.126166i
$399$	−0.0845850	−	0.0248364i	−0.00423455	−	0.00124337i
$400$	−12.3415	+	7.93140i	−0.617075	+	0.396570i
$401$	−3.61356	+	25.1328i	−0.180452	+	1.25507i	0.675243	+	0.737595i	$0.264039\pi$
$401$	−3.61356	+	25.1328i	−0.180452	+	1.25507i	−0.855696	+	0.517479i	$0.826871\pi$
$402$	0.641907	−	1.40558i	0.0320154	−	0.0701039i
$403$	−8.00427	+	17.5269i	−0.398721	+	0.873078i
$404$	−4.83809	+	33.6497i	−0.240704	+	1.67413i
$405$	−0.841254	+	0.540641i	−0.0418022	+	0.0268647i
$406$	−0.971382	−	0.285223i	−0.0482089	−	0.0141554i
$407$	1.18434	+	8.23725i	0.0587054	+	0.408305i
$408$	2.48312	+	2.86567i	0.122933	+	0.141872i
$409$	16.6523	+	10.7018i	0.823405	+	0.529170i	0.883176	−	0.469042i	$-0.155401\pi$
$409$	16.6523	+	10.7018i	0.823405	+	0.529170i	−0.0597711	+	0.998212i	$0.519037\pi$
$410$	0.433841	−	0.500680i	0.0214259	−	0.0247268i
$411$	2.43932	−	0.716249i	0.120323	−	0.0353299i
$412$	−0.289268	−	0.633409i	−0.0142512	−	0.0312058i
$413$	−6.44787			−0.317279
$414$	0.966950	+	0.592639i	0.0475230	+	0.0291266i
$415$	−5.94041			−0.291603
$416$	−4.47983	−	9.80946i	−0.219642	−	0.480948i
$417$	−22.0399	+	6.47151i	−1.07930	+	0.316911i
$418$	0.0271977	−	0.0313878i	0.00133028	−	0.00153523i
$419$	1.69000	+	1.08610i	0.0825619	+	0.0530593i	0.581270	−	0.813710i	$-0.302556\pi$
$419$	1.69000	+	1.08610i	0.0825619	+	0.0530593i	−0.498709	+	0.866770i	$0.666192\pi$
$420$	−1.27310	−	1.46924i	−0.0621209	−	0.0716914i
$421$	1.12995	+	7.85895i	0.0550702	+	0.383022i	0.998653	+	0.0518852i	$0.0165230\pi$
$421$	1.12995	+	7.85895i	0.0550702	+	0.383022i	−0.943583	+	0.331137i	$0.892568\pi$
$422$	1.87825	+	0.551503i	0.0914316	+	0.0268467i
$423$	−0.806178	+	0.518099i	−0.0391977	+	0.0251909i
$424$	−1.55677	+	10.8276i	−0.0756034	+	0.525834i
$425$	−6.75543	+	14.7923i	−0.327687	+	0.717533i
$426$	0.191998	−	0.420416i	0.00930232	−	0.0203692i
$427$	0.320749	−	2.23086i	0.0155221	−	0.107959i
$428$	29.1766	−	18.7507i	1.41031	−	0.906348i
$429$	−7.54345	−	2.21496i	−0.364201	−	0.106939i
$430$	−0.338801	−	2.35641i	−0.0163384	−	0.113636i
$431$	−8.45382	−	9.75622i	−0.407206	−	0.469941i	0.514691	−	0.857376i	$-0.327907\pi$
$431$	−8.45382	−	9.75622i	−0.407206	−	0.469941i	−0.921897	+	0.387435i	$0.873361\pi$
$432$	3.08538	+	1.98285i	0.148445	+	0.0954000i
$433$	−7.57187	+	8.73841i	−0.363881	+	0.419941i	−0.907936	−	0.419108i	$-0.862343\pi$
$433$	−7.57187	+	8.73841i	−0.363881	+	0.419941i	0.544055	+	0.839049i	$0.316888\pi$
$434$	−1.10786	+	0.325297i	−0.0531790	+	0.0156148i
$435$	−1.77843	−	3.89423i	−0.0852694	−	0.186714i
$436$	−31.6342			−1.51500
$437$	−0.269978	+	0.325355i	−0.0129148	+	0.0155638i
$438$	1.65761			0.0792037
$439$	9.20972	+	20.1665i	0.439556	+	0.962494i	0.991680	+	0.128731i	$0.0410904\pi$
$439$	9.20972	+	20.1665i	0.439556	+	0.962494i	−0.552123	+	0.833762i	$0.686182\pi$
$440$	1.78287	−	0.523497i	0.0849948	−	0.0249567i
$441$	−0.654861	+	0.755750i	−0.0311838	+	0.0359881i
$442$	−3.19168	−	2.05117i	−0.151813	−	0.0975641i
$443$	−14.1625	−	16.3444i	−0.672883	−	0.776548i	0.311942	−	0.950101i	$-0.399021\pi$
$443$	−14.1625	−	16.3444i	−0.672883	−	0.776548i	−0.984825	+	0.173553i	$0.944475\pi$
$444$	1.15571	+	8.03816i	0.0548477	+	0.381474i
$445$	9.84173	+	2.88979i	0.466543	+	0.136989i
$446$	−2.25786	+	1.45104i	−0.106913	+	0.0687088i
$447$	−1.51935	+	10.5673i	−0.0718628	+	0.499817i
$448$	−2.77870	+	6.08450i	−0.131281	+	0.287465i
$449$	−16.1834	+	35.4367i	−0.763741	+	1.67236i	−0.0237737	+	0.999717i	$0.507568\pi$
$449$	−16.1834	+	35.4367i	−0.763741	+	1.67236i	−0.739967	+	0.672643i	$0.765159\pi$
$450$	0.134618	−	0.936287i	0.00634594	−	0.0441370i
$451$	−4.69522	+	3.01743i	−0.221089	+	0.142085i
$452$	23.8298	+	6.99707i	1.12086	+	0.329115i
$453$	1.18810	+	8.26344i	0.0558219	+	0.388250i
$454$	1.13906	+	1.31455i	0.0534588	+	0.0616947i
$455$	3.31983	+	2.13353i	0.155636	+	0.100021i
$456$	0.0538441	−	0.0621394i	0.00252148	−	0.00290995i
$457$	−7.99206	+	2.34668i	−0.373853	+	0.109773i	−0.463261	−	0.886222i	$-0.653321\pi$
$457$	−7.99206	+	2.34668i	−0.373853	+	0.109773i	0.0894081	+	0.995995i	$0.471502\pi$
$458$	−0.946382	−	2.07229i	−0.0442215	−	0.0968316i
$459$	4.06547			0.189760
$460$	−8.88768	+	2.81712i	−0.414390	+	0.131349i
$461$	−30.9800			−1.44288			−0.721441	−	0.692476i	$-0.756520\pi$
$461$	−30.9800			−1.44288			−0.721441	+	0.692476i	$0.756520\pi$
$462$	−0.195710	−	0.428546i	−0.00910527	−	0.0199378i
$463$	−28.2065	+	8.28219i	−1.31087	+	0.384906i	−0.861190	−	0.508284i	$-0.830280\pi$
$463$	−28.2065	+	8.28219i	−1.31087	+	0.384906i	−0.449680	+	0.893190i	$0.648462\pi$
$464$	−10.2822	+	11.8663i	−0.477339	+	0.550878i
$465$	−4.10750	−	2.63973i	−0.190481	−	0.122415i
$466$	2.12653	+	2.45414i	0.0985095	+	0.113686i
$467$	−2.48231	−	17.2648i	−0.114868	−	0.798921i	−0.963070	−	0.269250i	$-0.913224\pi$
$467$	−2.48231	−	17.2648i	−0.114868	−	0.798921i	0.848203	−	0.529672i	$-0.177685\pi$
$468$	−7.36113	−	2.16142i	−0.340268	−	0.0999118i
$469$	5.49698	−	3.53269i	0.253827	−	0.163125i
$470$	−0.0322513	+	0.224312i	−0.00148764	+	0.0103468i
$471$	−4.20214	+	9.20140i	−0.193624	+	0.423978i
$472$	2.49825	−	5.47041i	0.114991	−	0.251796i
$473$	−2.85425	+	19.8517i	−0.131238	+	0.912784i
$474$	0.639295	−	0.410850i	0.0293638	−	0.0188710i
$475$	0.338340	+	0.0993456i	0.0155241	+	0.00455829i
$476$	1.12480	+	7.82314i	0.0515551	+	0.358573i
$477$	7.68043	+	8.86369i	0.351663	+	0.405840i
$478$	−0.697456	−	0.448228i	−0.0319009	−	0.0205015i
$479$	−15.3121	+	17.6711i	−0.699628	+	0.807413i	−0.988702	−	0.149893i	$-0.952107\pi$
$479$	−15.3121	+	17.6711i	−0.699628	+	0.807413i	0.289075	+	0.957307i	$0.406652\pi$
$480$	2.62200	−	0.769888i	0.119677	−	0.0351404i
$481$	−6.84790	−	14.9948i	−0.312237	−	0.683704i
$482$	−2.25725			−0.102815
$483$	2.08494	+	4.31891i	0.0948682	+	0.196517i
$484$	13.6689			0.621312
$485$	−4.72811	−	10.3531i	−0.214692	−	0.470111i
$486$	−0.226900	+	0.0666238i	−0.0102924	+	0.00302212i
$487$	22.3483	−	25.7913i	1.01270	−	1.16872i	0.0270978	−	0.999633i	$-0.491373\pi$
$487$	22.3483	−	25.7913i	1.01270	−	1.16872i	0.985602	−	0.169085i	$-0.0540811\pi$
$488$	1.76840	+	1.13648i	0.0800516	+	0.0514460i
$489$	0.918607	+	1.06013i	0.0415408	+	0.0479407i
$490$	0.0336545	+	0.234072i	0.00152035	+	0.0105743i
$491$	5.49242	+	1.61272i	0.247869	+	0.0727810i	0.403307	−	0.915065i	$-0.367861\pi$
$491$	5.49242	+	1.61272i	0.247869	+	0.0727810i	−0.155438	+	0.987846i	$0.549679\pi$
$492$	−4.58174	+	2.94450i	−0.206561	+	0.132748i
$493$	−2.47695	+	17.2275i	−0.111556	+	0.775890i
$494$	−0.0341755	+	0.0748339i	−0.00153763	+	0.00336694i
$495$	0.827602	−	1.81219i	0.0371979	−	0.0814521i
$496$	−2.54849	+	17.7251i	−0.114430	+	0.795881i
$497$	1.64418	−	1.05665i	0.0737514	−	0.0473971i
$498$	−1.34788	−	0.395773i	−0.0603999	−	0.0177350i
$499$	2.40798	+	16.7479i	0.107796	+	0.749739i	0.969987	+	0.243156i	$0.0781826\pi$
$499$	2.40798	+	16.7479i	0.107796	+	0.749739i	−0.862191	+	0.506583i	$0.830908\pi$
$500$	11.4579	+	13.2231i	0.512413	+	0.591356i
$501$	−3.01784	−	1.93945i	−0.134827	−	0.0866482i
$502$	0.104747	−	0.120884i	0.00467508	−	0.00539533i
$503$	−3.93309	+	1.15486i	−0.175368	+	0.0514926i	−0.368237	−	0.929732i	$-0.620039\pi$
$503$	−3.93309	+	1.15486i	−0.175368	+	0.0514926i	0.192870	+	0.981224i	$0.438220\pi$
$504$	−0.387454	−	0.848406i	−0.0172586	−	0.0377910i
$505$	17.4868			0.778152
$506$	−2.25890	+	0.0482382i	−0.100420	+	0.00214445i
$507$	2.57320			0.114280
$508$	12.4692	+	27.3038i	0.553233	+	1.21141i
$509$	23.8707	−	7.00908i	1.05805	−	0.310672i	0.293985	−	0.955810i	$-0.405018\pi$
$509$	23.8707	−	7.00908i	1.05805	−	0.310672i	0.764066	+	0.645138i	$0.223200\pi$
$510$	0.629582	−	0.726576i	0.0278784	−	0.0321733i
$511$	5.89681	+	3.78965i	0.260859	+	0.167644i
$512$	−11.0435	−	12.7449i	−0.488058	−	0.563248i
$513$	−0.0125459	−	0.0872586i	−0.000553915	−	0.00385256i
$514$	5.84864	+	1.71731i	0.257972	+	0.0757475i
$515$	−0.301323	+	0.193648i	−0.0132779	+	0.00853317i
$516$	−2.78526	+	19.3719i	−0.122614	+	0.852802i
$517$	0.793096	−	1.73664i	0.0348803	−	0.0763772i
$518$	0.410356	−	0.898554i	0.0180300	−	0.0394802i
$519$	−0.680807	+	4.73512i	−0.0298841	+	0.207849i
$520$	−3.09638	+	1.98992i	−0.135785	+	0.0872638i
$521$	4.20457	+	1.23457i	0.184206	+	0.0540876i	0.372534	−	0.928018i	$-0.378489\pi$
$521$	4.20457	+	1.23457i	0.184206	+	0.0540876i	−0.188329	+	0.982106i	$0.560307\pi$
$522$	−0.144078	−	1.00209i	−0.00630613	−	0.0438601i
$523$	−2.18955	−	2.52687i	−0.0957422	−	0.110492i	0.705856	−	0.708355i	$-0.250562\pi$
$523$	−2.18955	−	2.52687i	−0.0957422	−	0.110492i	−0.801599	+	0.597862i	$0.796017\pi$
$524$	10.2415	+	6.58182i	0.447402	+	0.287528i
$525$	2.61944	−	3.02300i	0.114322	−	0.131934i
$526$	2.39424	−	0.703012i	0.104394	−	0.0306528i
$527$	8.24601	+	18.0562i	0.359202	+	0.786542i
$528$	−7.30668			−0.317983
$529$	22.9790	−	0.981872i	0.999088	−	0.0426901i
$530$	2.77350			0.120473
$531$	−2.67854	−	5.86519i	−0.116239	−	0.254527i
$532$	0.164440	−	0.0482839i	0.00712937	−	0.00209337i
$533$	7.23982	−	8.35519i	0.313591	−	0.361904i
$534$	2.04056	+	1.31139i	0.0883036	+	0.0567493i
$535$	−11.6827	−	13.4826i	−0.505087	−	0.582902i
$536$	0.867332	+	6.03243i	0.0374630	+	0.260561i
$537$	17.0049	+	4.99308i	0.733815	+	0.215467i
$538$	1.45763	−	0.936764i	0.0628431	−	0.0403868i
$539$	0.283524	−	1.97195i	0.0122122	−	0.0849379i
$540$	0.807599	−	1.76840i	0.0347535	−	0.0760996i
$541$	−8.29983	+	18.1741i	−0.356837	+	0.781365i	0.643042	+	0.765831i	$0.277672\pi$
$541$	−8.29983	+	18.1741i	−0.356837	+	0.781365i	−0.999879	+	0.0155341i	$0.995055\pi$
$542$	0.00579520	−	0.0403065i	0.000248925	−	0.00173131i
$543$	−15.7873	+	10.1459i	−0.677498	+	0.435401i
$544$	−10.6597	−	3.12996i	−0.457029	−	0.134196i
$545$	2.31576	+	16.1064i	0.0991961	+	0.689924i
$546$	0.611125	+	0.705276i	0.0261537	+	0.0301830i
$547$	−20.4385	−	13.1350i	−0.873888	−	0.561614i	0.0250518	−	0.999686i	$-0.492025\pi$
$547$	−20.4385	−	13.1350i	−0.873888	−	0.561614i	−0.898940	+	0.438073i	$0.855661\pi$
$548$	−3.23660	+	3.73524i	−0.138261	+	0.159561i
$549$	2.16250	−	0.634969i	0.0922934	−	0.0270998i
$550$	0.782841	+	1.71418i	0.0333805	+	0.0730930i
$551$	0.377405			0.0160780
$552$	−4.47201	+	0.0954988i	−0.190341	+	0.00406470i
$553$	3.21353			0.136653
$554$	1.76945	+	3.87455i	0.0751767	+	0.164614i
$555$	4.00800	−	1.17686i	0.170130	−	0.0499547i
$556$	29.2436	−	33.7489i	1.24021	−	1.43127i
$557$	18.9357	+	12.1692i	0.802330	+	0.515626i	0.876375	−	0.481629i	$-0.159955\pi$
$557$	18.9357	+	12.1692i	0.802330	+	0.515626i	−0.0740453	+	0.997255i	$0.523591\pi$
$558$	−0.756122	−	0.872612i	−0.0320092	−	0.0369406i
$559$	−5.65381	−	39.3231i	−0.239131	−	1.66319i
$560$	3.51903	+	1.03328i	0.148706	+	0.0436641i
$561$	−6.81360	+	4.37884i	−0.287671	+	0.184875i
$562$	0.873584	−	6.07591i	0.0368499	−	0.256297i
$563$	−18.2461	+	39.9534i	−0.768981	+	1.68383i	−0.0400978	+	0.999196i	$0.512767\pi$
$563$	−18.2461	+	39.9534i	−0.768981	+	1.68383i	−0.728883	+	0.684638i	$0.759960\pi$
$564$	0.773927	−	1.69466i	0.0325882	−	0.0713582i
$565$	1.81809	−	12.6451i	0.0764877	−	0.531984i
$566$	−5.76340	+	3.70392i	−0.242254	+	0.155687i
$567$	−0.959493	−	0.281733i	−0.0402949	−	0.0118317i
$568$	0.259424	+	1.80433i	0.0108852	+	0.0757080i
$569$	−20.2952	−	23.4219i	−0.850820	−	0.981898i	0.149156	−	0.988814i	$-0.452344\pi$
$569$	−20.2952	−	23.4219i	−0.850820	−	0.981898i	−0.999976	+	0.00691545i	$0.997799\pi$
$570$	−0.0175376	−	0.0112707i	−0.000734570	−	0.000472080i
$571$	16.8053	−	19.3944i	0.703281	−	0.811629i	−0.285911	−	0.958256i	$-0.592296\pi$
$571$	16.8053	−	19.3944i	0.703281	−	0.811629i	0.989192	+	0.146627i	$0.0468417\pi$
$572$	14.6651	−	4.30605i	0.613177	−	0.180045i
$573$	5.00339	+	10.9559i	0.209019	+	0.457689i
$574$	0.662494			0.0276520
$575$	−8.33978	−	17.2757i	−0.347793	−	0.720444i
$576$	−6.68896			−0.278707
$577$	−8.73263	−	19.1218i	−0.363544	−	0.796051i	−0.999700	−	0.0244904i	$-0.992204\pi$
$577$	−8.73263	−	19.1218i	−0.363544	−	0.796051i	0.636156	−	0.771561i	$-0.280524\pi$
$578$	0.107084	−	0.0314427i	0.00445411	−	0.00130785i
$579$	8.27882	−	9.55427i	0.344056	−	0.397062i
$580$	7.00158	+	4.49964i	0.290725	+	0.186838i
$581$	−3.89014	−	4.48946i	−0.161390	−	0.186254i
$582$	−0.383043	−	2.66412i	−0.0158777	−	0.110431i
$583$	−22.4191	−	6.58283i	−0.928503	−	0.272633i
$584$	−5.49990	+	3.53457i	−0.227587	+	0.146262i
$585$	−0.561616	+	3.90612i	−0.0232199	+	0.161498i
$586$	2.49677	−	5.46716i	0.103141	−	0.225846i
$587$	16.8871	−	36.9775i	0.697003	−	1.52622i	−0.146564	−	0.989201i	$-0.546821\pi$
$587$	16.8871	−	36.9775i	0.697003	−	1.52622i	0.843567	−	0.537023i	$-0.180451\pi$
$588$	0.276671	−	1.92429i	0.0114097	−	0.0793564i
$589$	0.362101	−	0.232708i	0.0149201	−	0.00958856i
$590$	−1.46302	−	0.429581i	−0.0602316	−	0.0176856i
$591$	1.32968	+	9.24810i	0.0546955	+	0.380416i
$592$	−10.0327	−	11.5783i	−0.412340	−	0.475866i
$593$	−28.4189	−	18.2637i	−1.16702	−	0.750001i	−0.194068	−	0.980988i	$-0.562168\pi$
$593$	−28.4189	−	18.2637i	−1.16702	−	0.750001i	−0.972957	+	0.230987i	$0.925804\pi$
$594$	0.308518	−	0.356049i	0.0126586	−	0.0146089i
$595$	3.90079	−	1.14538i	0.159917	−	0.0469558i
$596$	−8.62191	−	18.8793i	−0.353167	−	0.773328i
$597$	−10.7532			−0.440098
$598$	4.26635	−	1.35230i	0.174464	−	0.0552996i
$599$	−8.02372			−0.327840			−0.163920	−	0.986474i	$-0.552414\pi$
$599$	−8.02372			−0.327840			−0.163920	+	0.986474i	$0.552414\pi$
$600$	1.54982	+	3.39362i	0.0632710	+	0.138544i
$601$	33.7082	−	9.89762i	1.37499	−	0.403732i	0.490965	−	0.871179i	$-0.336644\pi$
$601$	33.7082	−	9.89762i	1.37499	−	0.403732i	0.884021	+	0.467447i	$0.154826\pi$
$602$	1.55899	−	1.79917i	0.0635397	−	0.0733288i
$603$	5.49698	+	3.53269i	0.223854	+	0.143862i
$604$	−10.6284	−	12.2658i	−0.432462	−	0.499088i
$605$	−1.00062	−	6.95946i	−0.0406810	−	0.282942i
$606$	3.96775	+	1.16504i	0.161179	+	0.0473264i
$607$	5.67866	−	3.64945i	0.230490	−	0.148127i	−0.420299	−	0.907386i	$-0.638075\pi$
$607$	5.67866	−	3.64945i	0.230490	−	0.148127i	0.650789	+	0.759259i	$0.274438\pi$
$608$	−0.0342841	+	0.238451i	−0.00139040	+	0.00967046i
$609$	1.77843	−	3.89423i	0.0720658	−	0.157802i
$610$	0.221406	−	0.484812i	0.00896447	−	0.0196295i
$611$	−0.538200	+	3.74326i	−0.0217732	+	0.151436i
$612$	−6.64892	+	4.27300i	−0.268767	+	0.172726i
$613$	19.8409	+	5.82582i	0.801367	+	0.235303i	0.656675	−	0.754174i	$-0.271963\pi$
$613$	19.8409	+	5.82582i	0.801367	+	0.235303i	0.144692	+	0.989477i	$0.453781\pi$
$614$	0.783787	+	5.45136i	0.0316311	+	0.219999i
$615$	1.83459	+	2.11723i	0.0739777	+	0.0853749i
$616$	1.56316	+	1.00458i	0.0629816	+	0.0404758i
$617$	−11.1756	+	12.8973i	−0.449912	+	0.519226i	−0.934715	−	0.355397i	$-0.884346\pi$
$617$	−11.1756	+	12.8973i	−0.449912	+	0.519226i	0.484804	+	0.874623i	$0.338891\pi$
$618$	−0.0812717	+	0.0238635i	−0.00326923	+	0.000959932i
$619$	−8.19260	−	17.9393i	−0.329289	−	0.721041i	0.670494	−	0.741915i	$-0.266082\pi$
$619$	−8.19260	−	17.9393i	−0.329289	−	0.721041i	−0.999782	+	0.0208740i	$0.993355\pi$
$620$	9.49215			0.381214
$621$	−3.06250	+	3.69067i	−0.122894	+	0.148102i
$622$	0.270844			0.0108598
$623$	4.26100	+	9.33029i	0.170713	+	0.373810i
$624$	13.8871	−	4.07762i	0.555929	−	0.163236i
$625$	−7.20347	+	8.31325i	−0.288139	+	0.332530i
$626$	−2.10499	−	1.35280i	−0.0841325	−	0.0540687i
$627$	0.115011	+	0.132730i	0.00459310	+	0.00530072i
$628$	−2.79867	−	19.4652i	−0.111679	−	0.776745i
$629$	−16.2944	−	4.78447i	−0.649701	−	0.190769i
$630$	−0.198939	+	0.127850i	−0.00792591	+	0.00509367i
$631$	−2.30314	+	16.0187i	−0.0916864	+	0.637693i	0.891218	+	0.453575i	$0.149852\pi$
$631$	−2.30314	+	16.0187i	−0.0916864	+	0.637693i	−0.982904	+	0.184117i	$0.941057\pi$
$632$	−1.24509	+	2.72637i	−0.0495272	+	0.108449i
$633$	−3.43875	+	7.52981i	−0.136678	+	0.299283i
$634$	0.671119	−	4.66773i	0.0266535	−	0.185379i
$635$	12.9889	−	8.34744i	0.515447	−	0.331258i
$636$	−21.8772	−	6.42373i	−0.867488	−	0.254717i
$637$	0.561616	+	3.90612i	0.0222520	+	0.154766i
$638$	1.32080	+	1.52428i	0.0522909	+	0.0603469i
$639$	1.64418	+	1.05665i	0.0650426	+	0.0418003i
$640$	−4.61492	+	5.32590i	−0.182421	+	0.210525i
$641$	−6.61862	+	1.94340i	−0.261420	+	0.0767597i	−0.409816	−	0.912168i	$-0.634407\pi$
$641$	−6.61862	+	1.94340i	−0.261420	+	0.0767597i	0.148396	+	0.988928i	$0.452589\pi$
$642$	−1.75254	−	3.83754i	−0.0691674	−	0.151455i
$643$	33.5988			1.32501			0.662504	−	0.749059i	$-0.269494\pi$
$643$	33.5988			1.32501			0.662504	+	0.749059i	$0.269494\pi$
$644$	−7.94923	−	4.87204i	−0.313244	−	0.191985i
$645$	10.0671			0.396390
$646$	0.0352076	+	0.0770940i	0.00138523	+	0.00303322i
$647$	27.8726	−	8.18413i	1.09578	−	0.321751i	0.316609	−	0.948556i	$-0.397456\pi$
$647$	27.8726	−	8.18413i	1.09578	−	0.321751i	0.779176	+	0.626805i	$0.215638\pi$
$648$	0.610783	−	0.704881i	0.0239938	−	0.0276903i
$649$	10.8064	+	6.94487i	0.424189	+	0.272610i
$650$	−2.44450	−	2.82110i	−0.0958812	−	0.110653i
$651$	−0.694866	−	4.83290i	−0.0272339	−	0.189416i
$652$	−2.61659	−	0.768301i	−0.102474	−	0.0300890i
$653$	19.1802	−	12.3264i	0.750580	−	0.482368i	−0.108573	−	0.994089i	$-0.534628\pi$
$653$	19.1802	−	12.3264i	0.750580	−	0.482368i	0.859152	+	0.511720i	$0.170992\pi$
$654$	−0.547628	+	3.80883i	−0.0214139	+	0.148937i
$655$	2.60139	−	5.69625i	0.101645	−	0.222571i
$656$	4.26828	−	9.34623i	0.166648	−	0.364909i
$657$	−0.997563	+	6.93820i	−0.0389186	+	0.270685i
$658$	−0.190644	+	0.122520i	−0.00743208	+	0.00477631i
$659$	42.0169	+	12.3373i	1.63675	+	0.480592i	0.965448	−	0.260595i	$-0.0839187\pi$
$659$	42.0169	+	12.3373i	1.63675	+	0.480592i	0.671298	+	0.741187i	$0.265737\pi$
$660$	0.551192	+	3.83363i	0.0214551	+	0.149224i
$661$	9.52728	+	10.9951i	0.370568	+	0.427659i	0.910153	−	0.414273i	$-0.135964\pi$
$661$	9.52728	+	10.9951i	0.370568	+	0.427659i	−0.539584	+	0.841932i	$0.681419\pi$
$662$	−4.67271	−	3.00297i	−0.181610	−	0.116714i
$663$	10.5063	−	12.1249i	0.408030	−	0.470892i
$664$	5.31614	−	1.56096i	0.206306	−	0.0605769i
$665$	−0.0366213	−	0.0801894i	−0.00142011	−	0.00310961i
$666$	0.987822			0.0382773
$667$	−13.7735	−	15.2260i	−0.533310	−	0.589555i
$668$	6.97402			0.269833
$669$	−4.71477	−	10.3239i	−0.182284	−	0.399145i
$670$	1.48263	−	0.435338i	0.0572788	−	0.0168186i
$671$	−2.94038	+	3.39338i	−0.113512	+	0.131000i
$672$	2.29889	+	1.47740i	0.0886814	+	0.0569921i
$673$	−25.2171	−	29.1021i	−0.972049	−	1.12180i	−0.992528	−	0.122014i	$-0.961065\pi$
$673$	−25.2171	−	29.1021i	−0.972049	−	1.12180i	0.0204794	−	0.999790i	$-0.493481\pi$
$674$	−0.689310	−	4.79426i	−0.0265512	−	0.184668i
$675$	3.83797	+	1.12693i	0.147724	+	0.0433756i
$676$	−4.20838	+	2.70456i	−0.161861	+	0.104021i
$677$	−1.20787	+	8.40094i	−0.0464223	+	0.322874i	0.953357	+	0.301846i	$0.0976030\pi$
$677$	−1.20787	+	8.40094i	−0.0464223	+	0.322874i	−0.999779	+	0.0210280i	$0.993306\pi$
$678$	1.25499	−	2.74805i	0.0481976	−	0.105538i
$679$	4.72811	−	10.3531i	0.181448	−	0.397316i
$680$	−0.539633	+	3.75323i	−0.0206940	+	0.143930i
$681$	−6.18775	+	3.97662i	−0.237115	+	0.152385i
$682$	2.20711	+	0.648066i	0.0845146	+	0.0248157i
$683$	−3.51361	−	24.4377i	−0.134444	−	0.935082i	−0.939662	−	0.342103i	$-0.888861\pi$
$683$	−3.51361	−	24.4377i	−0.134444	−	0.935082i	0.805218	−	0.592979i	$-0.202048\pi$
$684$	0.112231	+	0.129522i	0.00429127	+	0.00495239i
$685$	2.13872	+	1.37447i	0.0817162	+	0.0525158i
$686$	−0.154861	+	0.178719i	−0.00591261	+	0.00682352i
$687$	9.24344	−	2.71412i	0.352659	−	0.103550i
$688$	−15.3379	−	33.5853i	−0.584752	−	1.28043i
$689$	46.2834			1.76326
$690$	0.185331	+	1.11887i	0.00705543	+	0.0425946i
$691$	−41.9439			−1.59562			−0.797811	−	0.602907i	$-0.794009\pi$
$691$	−41.9439			−1.59562			−0.797811	+	0.602907i	$0.794009\pi$
$692$	−3.86340	−	8.45967i	−0.146864	−	0.321588i
$693$	1.91153	−	0.561276i	0.0726130	−	0.0213211i
$694$	−1.65399	+	1.90881i	−0.0627847	+	0.0724574i
$695$	−19.3239	−	12.4187i	−0.732998	−	0.471069i
$696$	2.61482	+	3.01767i	0.0991146	+	0.114384i
$697$	−1.62088	−	11.2735i	−0.0613952	−	0.427013i
$698$	7.27521	+	2.13619i	0.275371	+	0.0808561i
$699$	−11.5520	+	7.42401i	−0.436936	+	0.280802i
$700$	−1.10668	+	7.69716i	−0.0418287	+	0.290925i
$701$	−5.61528	+	12.2957i	−0.212086	+	0.464404i	−0.985539	−	0.169450i	$-0.945801\pi$
$701$	−5.61528	+	12.2957i	−0.212086	+	0.464404i	0.773453	+	0.633854i	$0.218528\pi$
$702$	−0.387671	+	0.848881i	−0.0146317	+	0.0320390i
$703$	−0.0524068	+	0.364498i	−0.00197656	+	0.0137473i
$704$	11.2105	−	7.20455i	0.422512	−	0.271532i
$705$	−0.919488	−	0.269986i	−0.0346299	−	0.0101683i
$706$	−0.798239	−	5.55187i	−0.0300421	−	0.208947i
$707$	11.4514	+	13.2156i	0.430675	+	0.497025i
$708$	10.5452	+	6.77702i	0.396314	+	0.254696i
$709$	0.160050	−	0.184707i	0.00601080	−	0.00693683i	−0.752736	−	0.658322i	$-0.771266\pi$
$709$	0.160050	−	0.184707i	0.00601080	−	0.00693683i	0.758747	+	0.651385i	$0.225812\pi$
$710$	0.443461	−	0.130212i	0.0166428	−	0.00488677i
$711$	1.33495	+	2.92313i	0.0500644	+	0.109626i
$712$	−9.56682			−0.358532
$713$	−22.6033	−	6.11590i	−0.846501	−	0.229042i
$714$	0.961398			0.0359794
$715$	−3.26596	−	7.15145i	−0.122140	−	0.267449i
$716$	−33.0588	+	9.70694i	−1.23547	+	0.362766i
$717$	2.29587	−	2.64957i	0.0857407	−	0.0989500i
$718$	4.26270	+	2.73947i	0.159082	+	0.102236i
$719$	26.5597	+	30.6515i	0.990508	+	1.14311i	0.989707	+	0.143107i	$0.0457094\pi$
$719$	26.5597	+	30.6515i	0.990508	+	1.14311i	0.000800682		1.00000i	$0.499745\pi$
$720$	0.521953	+	3.63026i	0.0194520	+	0.135292i
$721$	−0.343674	−	0.100912i	−0.0127991	−	0.00375815i
$722$	−3.77829	+	2.42816i	−0.140613	+	0.0903667i
$723$	1.35843	−	9.44807i	0.0505205	−	0.351378i
$724$	15.1557	−	33.1864i	0.563258	−	1.23336i
$725$	−7.11374	+	15.5769i	−0.264198	+	0.578512i
$726$	0.236625	−	1.64577i	0.00878199	−	0.0610801i
$727$	−26.5242	+	17.0461i	−0.983730	+	0.632205i	−0.930467	−	0.366376i	$-0.880599\pi$
$727$	−26.5242	+	17.0461i	−0.983730	+	0.632205i	−0.0532629	+	0.998581i	$0.516962\pi$
$728$	−3.53158	−	1.03696i	−0.130889	−	0.0384325i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	1.08550	+	1.25274i	0.0401763	+	0.0463659i
$731$	−34.4302	−	22.1270i	−1.27345	−	0.818396i
$732$	−2.86931	+	3.31136i	−0.106053	+	0.122391i
$733$	−3.69689	+	1.08551i	−0.136548	+	0.0400941i	−0.349292	−	0.937014i	$-0.613578\pi$
$733$	−3.69689	+	1.08551i	−0.136548	+	0.0400941i	0.212745	+	0.977108i	$0.431760\pi$
$734$	0.973324	+	2.13128i	0.0359261	+	0.0786671i
$735$	−1.00000			−0.0368856
$736$	10.8713	−	7.31915i	0.400721	−	0.269787i
$737$	−13.0178			−0.479516
$738$	0.275210	+	0.602626i	0.0101306	+	0.0221830i
$739$	16.0672	−	4.71774i	0.591040	−	0.173545i	0.0274832	−	0.999622i	$-0.491251\pi$
$739$	16.0672	−	4.71774i	0.591040	−	0.173545i	0.563557	+	0.826077i	$0.309433\pi$
$740$	−5.31801	+	6.13731i	−0.195494	+	0.225612i
$741$	−0.292663	−	0.188083i	−0.0107512	−	0.00690940i
$742$	1.81626	+	2.09607i	0.0666770	+	0.0769493i
$743$	5.12826	+	35.6679i	0.188138	+	1.30853i	0.836824	+	0.547471i	$0.184410\pi$
$743$	5.12826	+	35.6679i	0.188138	+	1.30853i	−0.648687	+	0.761056i	$0.724681\pi$
$744$	4.36949	+	1.28300i	0.160193	+	0.0470370i
$745$	−8.98120	+	5.77187i	−0.329046	+	0.211465i
$746$	−0.394410	+	2.74318i	−0.0144404	+	0.100435i
$747$	2.46774	−	5.40359i	0.0902897	−	0.197707i
$748$	6.54103	−	14.3228i	0.239164	−	0.523695i
$749$	2.53889	−	17.6584i	0.0927692	−	0.645224i
$750$	1.79045	−	1.15065i	0.0653779	−	0.0420158i
$751$	−28.3116	−	8.31305i	−1.03311	−	0.303348i	−0.279133	−	0.960252i	$-0.590047\pi$
$751$	−28.3116	−	8.31305i	−1.03311	−	0.303348i	−0.753973	+	0.656905i	$0.771865\pi$
$752$	0.500191	+	3.47890i	0.0182401	+	0.126863i
$753$	0.442944	+	0.511185i	0.0161418	+	0.0186286i
$754$	−3.36096	−	2.15996i	−0.122399	−	0.0786611i
$755$	−5.46705	+	6.30931i	−0.198966	+	0.229619i
$756$	1.86533	−	0.547710i	0.0678414	−	0.0199200i
$757$	−21.2363	−	46.5010i	−0.771846	−	1.69011i	−0.722545	−	0.691323i	$-0.757028\pi$
$757$	−21.2363	−	46.5010i	−0.771846	−	1.69011i	−0.0493008	−	0.998784i	$-0.515699\pi$
$758$	−4.53732			−0.164803
$759$	1.15751	−	9.48402i	0.0420151	−	0.344248i
$760$	0.0822222			0.00298251
$761$	11.6271	+	25.4597i	0.421480	+	0.922913i	0.994633	+	0.103465i	$0.0329929\pi$
$761$	11.6271	+	25.4597i	0.421480	+	0.922913i	−0.573153	+	0.819449i	$0.694280\pi$
$762$	3.50331	−	1.02866i	0.126912	−	0.0372646i
$763$	−10.6559	+	12.2976i	−0.385771	+	0.445203i
$764$	−19.6980	−	12.6591i	−0.712649	−	0.457992i
$765$	2.66232	+	3.07248i	0.0962563	+	0.111086i
$766$	0.840532	+	5.84603i	0.0303697	+	0.211226i
$767$	−24.4144	−	7.16873i	−0.881554	−	0.258848i
$768$	9.85227	−	6.33167i	0.355513	−	0.228474i
$769$	−1.83170	+	12.7397i	−0.0660527	+	0.459406i	0.929773	+	0.368133i	$0.120003\pi$
$769$	−1.83170	+	12.7397i	−0.0660527	+	0.459406i	−0.995826	+	0.0912735i	$0.970906\pi$
$770$	0.195710	−	0.428546i	0.00705291	−	0.0154437i
$771$	−10.7079	+	23.4469i	−0.385634	+	0.844421i
$772$	−3.49771	+	24.3271i	−0.125885	+	0.875551i
$773$	39.2185	−	25.2042i	1.41059	−	0.906532i	0.410606	−	0.911813i	$-0.365317\pi$
$773$	39.2185	−	25.2042i	1.41059	−	0.906532i	0.999986	+	0.00528040i	$0.00168081\pi$
$774$	2.28421	+	0.670705i	0.0821043	+	0.0241080i
$775$	2.77946	+	19.3316i	0.0998413	+	0.694411i
$776$	6.95172	+	8.02271i	0.249552	+	0.287998i
$777$	3.51409	+	2.25837i	0.126067	+	0.0810186i
$778$	−0.786890	+	0.908119i	−0.0282114	+	0.0325577i
$779$	−0.236964	+	0.0695790i	−0.00849013	+	0.00249293i
$780$	−3.18702	−	6.97860i	−0.114114	−	0.249874i
$781$	−3.89368			−0.139327
$782$	1.82538	−	4.23398i	0.0652753	−	0.151407i
$783$	4.28110			0.152994
$784$	1.52357	+	3.33616i	0.0544133	+	0.119149i
$785$	−9.70577	+	2.84987i	−0.346414	+	0.101716i
$786$	0.969761	−	1.11916i	0.0345902	−	0.0399193i
$787$	8.70178	+	5.59229i	0.310185	+	0.199344i	0.686466	−	0.727162i	$-0.259161\pi$
$787$	8.70178	+	5.59229i	0.310185	+	0.199344i	−0.376281	+	0.926505i	$0.622797\pi$
$788$	−11.8948	−	13.7274i	−0.423736	−	0.489017i
$789$	1.50170	+	10.4446i	0.0534620	+	0.371836i
$790$	0.729149	+	0.214097i	0.0259419	+	0.00761724i
$791$	10.7471	−	6.90676i	0.382124	−	0.245576i
$792$	−0.264440	+	1.83922i	−0.00939647	+	0.0653539i
$793$	3.69476	−	8.09040i	0.131205	−	0.287298i
$794$	1.67438	−	3.66638i	0.0594215	−	0.130115i
$795$	−1.66912	+	11.6090i	−0.0591975	+	0.411727i
$796$	17.5864	−	11.3021i	0.623333	−	0.400592i
$797$	46.7023	+	13.7130i	1.65428	+	0.485741i	0.969924	−	0.243407i	$-0.0782649\pi$
$797$	46.7023	+	13.7130i	1.65428	+	0.485741i	0.684357	+	0.729147i	$0.260083\pi$
$798$	−0.00296684	−	0.0206348i	−0.000105025	−	0.000730465i
$799$	2.55131	+	2.94437i	0.0902590	+	0.104164i
$800$	−9.19554	−	5.90962i	−0.325112	−	0.208936i
$801$	−6.71705	+	7.75189i	−0.237335	+	0.273900i
$802$	−5.76128	+	1.69166i	−0.203438	+	0.0597347i
$803$	−5.80111	−	12.7027i	−0.204717	−	0.448267i
$804$	−12.7031			−0.448005
$805$	−1.89867	+	4.40398i	−0.0669193	+	0.155220i
$806$	−4.55651			−0.160496
$807$	3.04377	+	6.66492i	0.107146	+	0.234616i
$808$	−15.6491	+	4.59499i	−0.550534	+	0.161651i
$809$	26.2546	−	30.2994i	0.923061	−	1.06527i	−0.0746202	−	0.997212i	$-0.523774\pi$
$809$	26.2546	−	30.2994i	0.923061	−	1.06527i	0.997681	−	0.0680574i	$-0.0216801\pi$
$810$	−0.198939	−	0.127850i	−0.00698999	−	0.00449220i
$811$	−9.15627	−	10.5669i	−0.321520	−	0.371054i	0.571863	−	0.820349i	$-0.306221\pi$
$811$	−9.15627	−	10.5669i	−0.321520	−	0.371054i	−0.893384	+	0.449295i	$0.851675\pi$
$812$	1.18446	+	8.23808i	0.0415663	+	0.289100i
$813$	0.165222	+	0.0485135i	0.00579459	+	0.00170144i
$814$	−1.65556	+	1.06396i	−0.0580273	+	0.0372919i
$815$	−0.199632	+	1.38847i	−0.00699282	+	0.0486361i
$816$	6.19404	−	13.5631i	0.216835	−	0.474802i
$817$	−0.368669	+	0.807271i	−0.0128981	+	0.0282429i
$818$	−0.666179	+	4.63337i	−0.0232924	+	0.162002i
$819$	−3.31983	+	2.13353i	−0.116004	+	0.0745514i
$820$	−5.22571	−	1.53441i	−0.182490	−	0.0535838i
$821$	2.99836	+	20.8540i	0.104643	+	0.727811i	0.972821	+	0.231558i	$0.0743821\pi$
$821$	2.99836	+	20.8540i	0.104643	+	0.727811i	−0.868178	+	0.496253i	$0.834709\pi$
$822$	0.393702	+	0.454357i	0.0137319	+	0.0158475i
$823$	−34.7261	−	22.3171i	−1.21048	−	0.777925i	−0.229737	−	0.973253i	$-0.573787\pi$
$823$	−34.7261	−	22.3171i	−1.21048	−	0.777925i	−0.980738	+	0.195328i	$0.937423\pi$
$824$	0.218772	−	0.252476i	0.00762129	−	0.00879543i
$825$	−7.64612	+	2.24510i	−0.266204	+	0.0781644i
$826$	−0.633418	−	1.38699i	−0.0220394	−	0.0482596i
$827$	14.2219			0.494543			0.247272	−	0.968946i	$-0.420466\pi$
$827$	14.2219			0.494543			0.247272	+	0.968946i	$0.420466\pi$
$828$	1.12954	−	9.25479i	0.0392541	−	0.321626i
$829$	25.8076			0.896335			0.448167	−	0.893950i	$-0.352077\pi$
$829$	25.8076			0.896335			0.448167	+	0.893950i	$0.352077\pi$
$830$	−0.583567	−	1.27783i	−0.0202559	−	0.0443543i
$831$	−17.2825	+	5.07459i	−0.599522	+	0.176035i
$832$	−17.2861	+	19.9492i	−0.599287	+	0.691614i
$833$	3.42009	+	2.19796i	0.118499	+	0.0761548i
$834$	−3.55721	−	4.10524i	−0.123176	−	0.142153i
$835$	−0.510528	−	3.55080i	−0.0176676	−	0.122881i
$836$	−0.327602	−	0.0961925i	−0.0113303	−	0.00332689i
$837$	4.10750	−	2.63973i	0.141976	−	0.0912424i
$838$	−0.0676087	+	0.470229i	−0.00233550	+	0.0162438i
$839$	−5.72842	+	12.5435i	−0.197767	+	0.433049i	−0.982369	−	0.186950i	$-0.940140\pi$
$839$	−5.72842	+	12.5435i	−0.197767	+	0.433049i	0.784602	+	0.619999i	$0.212867\pi$
$840$	0.387454	−	0.848406i	0.0133684	−	0.0292728i
$841$	1.51881	−	10.5635i	0.0523726	−	0.364260i
$842$	−1.57953	+	1.01510i	−0.0544341	+	0.0349827i
$843$	24.9060	+	7.31306i	0.857808	+	0.251875i
$844$	−2.29025	−	15.9290i	−0.0788335	−	0.548299i
$845$	1.68509	+	1.94470i	0.0579688	+	0.0668996i
$846$	−0.190644	−	0.122520i	−0.00655448	−	0.00421231i
$847$	4.60434	−	5.31369i	0.158207	−	0.182581i
$848$	41.2724	−	12.1187i	1.41730	−	0.416157i
$849$	−12.0349	−	26.3527i	−0.413036	−	0.904423i
$850$	−3.84559			−0.131903
$851$	16.6179	−	11.1881i	0.569655	−	0.383523i
$852$	−3.79957			−0.130171
$853$	−14.4496	−	31.6402i	−0.494744	−	1.08334i	−0.978142	−	0.207938i	$-0.933325\pi$
$853$	−14.4496	−	31.6402i	−0.494744	−	1.08334i	0.483398	−	0.875401i	$-0.339402\pi$
$854$	0.511387	−	0.150157i	0.0174993	−	0.00513826i
$855$	0.0577299	−	0.0666238i	0.00197432	−	0.00227849i
$856$	13.9978	+	8.99583i	0.478434	+	0.307471i
$857$	−9.82705	−	11.3410i	−0.335686	−	0.387402i	0.562662	−	0.826687i	$-0.309777\pi$
$857$	−9.82705	−	11.3410i	−0.335686	−	0.387402i	−0.898348	+	0.439285i	$0.855232\pi$
$858$	−0.264588	−	1.84025i	−0.00903290	−	0.0628252i
$859$	9.45075	+	2.77499i	0.322455	+	0.0946815i	0.438954	−	0.898509i	$-0.355349\pi$
$859$	9.45075	+	2.77499i	0.322455	+	0.0946815i	−0.116499	+	0.993191i	$0.537167\pi$
$860$	−16.4643	+	10.5810i	−0.561427	+	0.360808i
$861$	−0.398694	+	2.77298i	−0.0135875	+	0.0945028i
$862$	1.26817	−	2.77691i	0.0431941	−	0.0945820i
$863$	5.76529	−	12.6242i	0.196253	−	0.429734i	−0.785764	−	0.618526i	$-0.787730\pi$
$863$	5.76529	−	12.6242i	0.196253	−	0.429734i	0.982017	+	0.188792i	$0.0604574\pi$
$864$	−0.388902	+	2.70488i	−0.0132307	+	0.0920217i
$865$	−4.02440	+	2.58632i	−0.136834	+	0.0879376i
$866$	−2.62354	−	0.770342i	−0.0891517	−	0.0261773i
$867$	0.0671647	+	0.467141i	0.00228103	+	0.0158649i
$868$	6.21603	+	7.17369i	0.210986	+	0.243491i
$869$	−5.38577	−	3.46123i	−0.182700	−	0.117414i
$870$	0.662975	−	0.765114i	0.0224769	−	0.0259398i
$871$	24.7416	−	7.26479i	0.838338	−	0.246158i
$872$	−6.30468	−	13.8053i	−0.213503	−	0.467507i
$873$	11.3816			0.385210
$874$	−0.0965084	−	0.0261128i	−0.00326445	−	0.000883278i
$875$	9.00000			0.304256
$876$	−5.66091	−	12.3957i	−0.191264	−	0.418810i
$877$	8.91104	−	2.61652i	0.300905	−	0.0883536i	−0.127795	−	0.991801i	$-0.540790\pi$
$877$	8.91104	−	2.61652i	0.300905	−	0.0883536i	0.428700	+	0.903447i	$0.358972\pi$
$878$	−3.43325	+	3.96218i	−0.115867	+	0.133717i
$879$	21.3811	+	13.7408i	0.721167	+	0.463466i
$880$	−4.78486	−	5.52202i	−0.161298	−	0.186147i
$881$	0.525281	+	3.65341i	0.0176972	+	0.123087i	0.996755	−	0.0804962i	$-0.0256505\pi$
$881$	0.525281	+	3.65341i	0.0176972	+	0.123087i	−0.979058	+	0.203583i	$0.934741\pi$
$882$	−0.226900	−	0.0666238i	−0.00764011	−	0.00224334i
$883$	−35.8674	+	23.0506i	−1.20703	+	0.775714i	−0.980160	−	0.198210i	$-0.936487\pi$
$883$	−35.8674	+	23.0506i	−1.20703	+	0.775714i	−0.226875	+	0.973924i	$0.572851\pi$
$884$	−4.43878	+	30.8724i	−0.149292	+	1.03835i
$885$	2.67854	−	5.86519i	0.0900381	−	0.197156i
$886$	2.12455	−	4.65212i	0.0713756	−	0.156291i
$887$	−2.07454	+	14.4288i	−0.0696563	+	0.484470i	0.924895	+	0.380223i	$0.124153\pi$
$887$	−2.07454	+	14.4288i	−0.0696563	+	0.484470i	−0.994551	+	0.104248i	$0.966756\pi$
$888$	−3.27756	+	2.10636i	−0.109988	+	0.0706849i
$889$	14.8145	+	4.34992i	0.496861	+	0.145892i
$890$	0.345201	+	2.40093i	0.0115712	+	0.0804792i
$891$	1.30463	+	1.50563i	0.0437068	+	0.0504404i
$892$	18.5618	+	11.9289i	0.621494	+	0.399410i
$893$	0.0553229	−	0.0638460i	0.00185131	−	0.00213652i
$894$	−2.42238	+	0.711274i	−0.0810164	+	0.0237886i
$895$	7.36231	+	16.1212i	0.246095	+	0.538873i
$896$	−7.04718			−0.235430
$897$	3.09275	+	18.6713i	0.103264	+	0.623418i
$898$	−9.21254			−0.307427
$899$	8.68338	+	19.0139i	0.289607	+	0.634151i
$900$	−7.46132	+	2.19084i	−0.248711	+	0.0730280i
$901$	31.2246	−	36.0351i	1.04024	−	1.20050i
$902$	−1.11032	−	0.713559i	−0.0369696	−	0.0237589i
$903$	6.59252	+	7.60817i	0.219385	+	0.253184i
$904$	1.69572	+	11.7940i	0.0563988	+	0.392262i
$905$	−18.0062	−	5.28711i	−0.598547	−	0.175749i
$906$	−1.66082	+	1.06735i	−0.0551771	+	0.0354602i
$907$	7.26810	−	50.5508i	0.241333	−	1.67851i	−0.404116	−	0.914708i	$-0.632421\pi$
$907$	7.26810	−	50.5508i	0.241333	−	1.67851i	0.645449	−	0.763803i	$-0.276670\pi$
$908$	5.94021	−	13.0072i	0.197133	−	0.431660i
$909$	−7.26428	+	15.9065i	−0.240941	+	0.527587i
$910$	−0.132810	+	0.923715i	−0.00440262	+	0.0306209i
$911$	−26.4425	+	16.9936i	−0.876079	+	0.563022i	−0.899606	−	0.436702i	$-0.856147\pi$
$911$	−26.4425	+	16.9936i	−0.876079	+	0.563022i	0.0235277	+	0.999723i	$0.492510\pi$
$912$	−0.310223	−	0.0910898i	−0.0102725	−	0.00301628i
$913$	1.68425	+	11.7142i	0.0557405	+	0.387683i
$914$	−1.28991	−	1.48863i	−0.0426663	−	0.0492395i
$915$	1.89602	+	1.21850i	0.0626804	+	0.0402822i
$916$	−12.2646	+	14.1541i	−0.405235	+	0.467666i
$917$	6.00849	−	1.76425i	0.198418	−	0.0582607i
$918$	0.399379	+	0.874518i	0.0131815	+	0.0288634i
$919$	−23.5161			−0.775724			−0.387862	−	0.921717i	$-0.626786\pi$
$919$	−23.5161			−0.775724			−0.387862	+	0.921717i	$0.626786\pi$
$920$	−3.00072	−	3.31718i	−0.0989307	−	0.109364i
$921$	−23.2892			−0.767407
$922$	−3.04338	−	6.66407i	−0.100228	−	0.219469i
$923$	7.40035	−	2.17294i	0.243585	−	0.0715231i
$924$	−2.53631	+	2.92705i	−0.0834384	+	0.0962930i
$925$	−14.0564	−	9.03348i	−0.462171	−	0.297019i
$926$	−4.55249	−	5.25386i	−0.149604	−	0.172653i
$927$	−0.0509748	−	0.354537i	−0.00167423	−	0.0116445i
$928$	−11.2250	−	3.29597i	−0.368480	−	0.108195i
$929$	41.9006	−	26.9279i	1.37471	−	0.883475i	0.375651	−	0.926761i	$-0.377419\pi$
$929$	41.9006	−	26.9279i	1.37471	−	0.883475i	0.999063	+	0.0432868i	$0.0137829\pi$
$930$	0.164321	−	1.14288i	0.00538830	−	0.0374765i
$931$	0.0366213	−	0.0801894i	0.00120021	−	0.00262810i
$932$	11.0898	−	24.2834i	0.363260	−	0.795428i
$933$	−0.162996	+	1.13366i	−0.00533625	+	0.0371144i
$934$	3.46996	−	2.23001i	0.113541	−	0.0729682i
$935$	−7.77127	−	2.28185i	−0.254148	−	0.0746245i
$936$	−0.523814	−	3.64321i	−0.0171214	−	0.119082i
$937$	4.62215	+	5.33424i	0.150999	+	0.174262i	0.826210	−	0.563363i	$-0.190493\pi$
$937$	4.62215	+	5.33424i	0.150999	+	0.174262i	−0.675211	+	0.737625i	$0.735947\pi$
$938$	1.29992	+	0.835408i	0.0424439	+	0.0272770i
$939$	6.92916	−	7.99668i	0.226125	−	0.260962i
$940$	1.78756	−	0.524874i	0.0583036	−	0.0171195i
$941$	22.8871	+	50.1158i	0.746099	+	1.63373i	0.773253	+	0.634097i	$0.218628\pi$
$941$	22.8871	+	50.1158i	0.746099	+	1.63373i	−0.0271547	+	0.999631i	$0.508645\pi$
$942$	−2.39211			−0.0779390
$943$	11.4552	+	7.02081i	0.373031	+	0.228629i
$944$	−23.6482			−0.769682
$945$	−0.415415	−	0.909632i	−0.0135135	−	0.0295903i
$946$	−4.55067	+	1.33620i	−0.147955	+	0.0434436i
$947$	−34.8689	+	40.2408i	−1.13309	+	1.30765i	−0.187505	+	0.982264i	$0.560040\pi$
$947$	−34.8689	+	40.2408i	−1.13309	+	1.30765i	−0.945581	+	0.325387i	$0.894506\pi$
$948$	−5.25560	−	3.37757i	−0.170694	−	0.109698i
$949$	18.1146	+	20.9053i	0.588024	+	0.678616i
$950$	0.0118674	+	0.0825393i	0.000385028	+	0.00267793i
$951$	19.1337	+	5.61816i	0.620452	+	0.182181i
$952$	−3.18989	+	2.05002i	−0.103385	+	0.0664414i
$953$	0.0720603	−	0.501190i	0.00233426	−	0.0162351i	−0.988621	−	0.150428i	$-0.951935\pi$
$953$	0.0720603	−	0.501190i	0.00233426	−	0.0162351i	0.990955	+	0.134192i	$0.0428440\pi$
$954$	−1.15216	+	2.52287i	−0.0373024	+	0.0816809i
$955$	−5.00339	+	10.9559i	−0.161906	+	0.354524i
$956$	−0.969977	+	6.74634i	−0.0313713	+	0.218192i
$957$	−7.17500	+	4.61109i	−0.231935	+	0.149055i
$958$	−5.30542	−	1.55781i	−0.171410	−	0.0503306i
$959$	0.361807	+	2.51642i	0.0116834	+	0.0812595i
$960$	−4.38034	−	5.05518i	−0.141375	−	0.163155i
$961$	−6.02359	−	3.87113i	−0.194309	−	0.124875i
$962$	2.55280	−	2.94609i	0.0823055	−	0.0949856i
$963$	17.1173	−	5.02610i	0.551599	−	0.161964i
$964$	7.70872	+	16.8797i	0.248281	+	0.543660i
$965$	12.6421			0.406964
$966$	−0.724218	+	0.872766i	−0.0233013	+	0.0280808i
$967$	32.4027			1.04200			0.521000	−	0.853556i	$-0.325559\pi$
$967$	32.4027			1.04200			0.521000	+	0.853556i	$0.325559\pi$
$968$	2.72420	+	5.96516i	0.0875590	+	0.191728i
$969$	−0.343878	+	0.100972i	−0.0110469	+	0.00324368i
$970$	1.76257	−	2.03411i	0.0565927	−	0.0653115i
$971$	1.56974	+	1.00881i	0.0503754	+	0.0323743i	0.565586	−	0.824689i	$-0.308650\pi$
$971$	1.56974	+	1.00881i	0.0503754	+	0.0323743i	−0.515211	+	0.857064i	$0.672286\pi$
$972$	1.27310	+	1.46924i	0.0408347	+	0.0471258i
$973$	−3.26903	−	22.7366i	−0.104800	−	0.728901i
$974$	7.74337	+	2.27366i	0.248114	+	0.0728528i
$975$	13.2793	−	8.53410i	0.425279	−	0.273310i
$976$	1.17638	−	8.18188i	0.0376549	−	0.261896i
$977$	−19.4740	+	42.6421i	−0.623028	+	1.36424i	0.290268	+	0.956945i	$0.406256\pi$
$977$	−19.4740	+	42.6421i	−0.623028	+	1.36424i	−0.913296	+	0.407296i	$0.866472\pi$
$978$	−0.137802	+	0.301744i	−0.00440642	+	0.00964872i
$979$	2.90816	−	20.2267i	0.0929453	−	0.646449i
$980$	1.63546	−	1.05105i	0.0522429	−	0.0335745i
$981$	−15.6129	−	4.58437i	−0.498483	−	0.146368i
$982$	0.192648	+	1.33990i	0.00614764	+	0.0427578i
$983$	7.78934	+	8.98938i	0.248441	+	0.286717i	0.866249	−	0.499613i	$-0.166524\pi$
$983$	7.78934	+	8.98938i	0.248441	+	0.286717i	−0.617807	+	0.786329i	$0.711979\pi$
$984$	−2.19813	−	1.41266i	−0.0700740	−	0.0450338i
$985$	−6.11849	+	7.06112i	−0.194951	+	0.224986i
$986$	−3.94912	+	1.15957i	−0.125766	+	0.0369281i
$987$	−0.398095	−	0.871706i	−0.0126715	−	0.0277467i
$988$	0.676323			0.0215167
$989$	46.0233	−	14.5879i	1.46345	−	0.463869i
$990$	0.471120			0.0149732
$991$	2.20439	+	4.82695i	0.0700248	+	0.153333i	0.941408	−	0.337270i	$-0.109504\pi$
$991$	2.20439	+	4.82695i	0.0700248	+	0.153333i	−0.871383	+	0.490603i	$0.836776\pi$
$992$	−12.8022	+	3.75905i	−0.406469	+	0.119350i
$993$	15.3815	−	17.7512i	0.488117	−	0.563317i
$994$	0.388813	+	0.249875i	0.0123324	+	0.00792555i
$995$	−7.04182	−	8.12670i	−0.223241	−	0.257634i
$996$	1.64354	+	11.4311i	0.0520776	+	0.362207i
$997$	47.9459	+	14.0782i	1.51846	+	0.445861i	0.931496	−	0.363751i	$-0.118504\pi$
$997$	47.9459	+	14.0782i	1.51846	+	0.445861i	0.586966	+	0.809612i	$0.300322\pi$
$998$	−3.36607	+	2.16324i	−0.106551	+	0.0684761i
$999$	−0.594479	+	4.13469i	−0.0188085	+	0.130816i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.q.a.211.1	yes	10
23.6	even	11	inner	483.2.q.a.190.1	✓	10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.q.a.190.1	✓	10	23.6	even	11	inner
483.2.q.a.211.1	yes	10	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0982369 + 0.215109i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(1.27310 - 1.46924i) q^{4} +(-0.841254 - 0.540641i) q^{5} +(-0.154861 - 0.178719i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(0.894911 + 0.262769i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(0.0982369 + 0.215109i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(1.27310 - 1.46924i) q^{4} +(-0.841254 - 0.540641i) q^{5} +(-0.154861 - 0.178719i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(0.894911 + 0.262769i) q^{8} +(0.841254 - 0.540641i) q^{9} +(0.0336545 - 0.234072i) q^{10} +(-0.827602 + 1.81219i) q^{11} +(-0.807599 + 1.76840i) q^{12} +(0.561616 - 3.90612i) q^{13} +(0.198939 - 0.127850i) q^{14} +(0.959493 + 0.281733i) q^{15} +(-0.521953 - 3.63026i) q^{16} +(-2.66232 - 3.07248i) q^{17} +(0.198939 + 0.127850i) q^{18} +(-0.0577299 + 0.0666238i) q^{19} +(-1.86533 + 0.547710i) q^{20} +(0.415415 + 0.909632i) q^{21} -0.471120 q^{22} +(4.79474 - 0.102391i) q^{23} -0.932691 q^{24} +(-1.66166 - 3.63853i) q^{25} +(0.895412 - 0.262917i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-1.63546 - 1.05105i) q^{28} +(-2.80353 - 3.23544i) q^{29} +(0.0336545 + 0.234072i) q^{30} +(-4.68482 - 1.37559i) q^{31} +(2.29889 - 1.47740i) q^{32} +(0.283524 - 1.97195i) q^{33} +(0.399379 - 0.874518i) q^{34} +(-0.415415 + 0.909632i) q^{35} +(0.276671 - 1.92429i) q^{36} +(3.51409 - 2.25837i) q^{37} +(-0.0200026 - 0.00587328i) q^{38} +(0.561616 + 3.90612i) q^{39} +(-0.610783 - 0.704881i) q^{40} +(2.35677 + 1.51460i) q^{41} +(-0.154861 + 0.178719i) q^{42} +(9.65927 - 2.83622i) q^{43} +(1.60892 + 3.52305i) q^{44} -1.00000 q^{45} +(0.493045 + 1.02133i) q^{46} -0.958306 q^{47} +(1.52357 + 3.33616i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(0.619443 - 0.714875i) q^{50} +(3.42009 + 2.19796i) q^{51} +(-5.02402 - 5.79803i) q^{52} +(1.66912 + 11.6090i) q^{53} +(-0.226900 - 0.0666238i) q^{54} +(1.67597 - 1.07708i) q^{55} +(0.132736 - 0.923198i) q^{56} +(0.0366213 - 0.0801894i) q^{57} +(0.420562 - 0.920903i) q^{58} +(0.917627 - 6.38224i) q^{59} +(1.63546 - 1.05105i) q^{60} +(2.16250 + 0.634969i) q^{61} +(-0.164321 - 1.14288i) q^{62} +(-0.654861 - 0.755750i) q^{63} +(-5.62711 - 3.61633i) q^{64} +(-2.58427 + 2.98241i) q^{65} +(0.452036 - 0.132730i) q^{66} +(2.71443 + 5.94378i) q^{67} -7.90359 q^{68} +(-4.57167 + 1.44908i) q^{69} -0.236479 q^{70} +(0.811902 + 1.77782i) q^{71} +(0.894911 - 0.262769i) q^{72} +(-4.59028 + 5.29746i) q^{73} +(0.831009 + 0.534057i) q^{74} +(2.61944 + 3.02300i) q^{75} +(0.0243902 + 0.169638i) q^{76} +(1.91153 + 0.561276i) q^{77} +(-0.785070 + 0.504534i) q^{78} +(-0.457332 + 3.18082i) q^{79} +(-1.52357 + 3.33616i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.0942827 + 0.655751i) q^{82} +(4.99739 - 3.21163i) q^{83} +(1.86533 + 0.547710i) q^{84} +(0.578577 + 4.02409i) q^{85} +(1.55899 + 1.79917i) q^{86} +(3.60149 + 2.31454i) q^{87} +(-1.21682 + 1.40428i) q^{88} +(-9.84173 + 2.88979i) q^{89} +(-0.0982369 - 0.215109i) q^{90} -3.94629 q^{91} +(5.95375 - 7.17496i) q^{92} +4.88260 q^{93} +(-0.0941410 - 0.206140i) q^{94} +(0.0845850 - 0.0248364i) q^{95} +(-1.78953 + 2.06523i) q^{96} +(9.57485 + 6.15338i) q^{97} +(-0.154861 - 0.178719i) q^{98} +(0.283524 + 1.97195i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 4 q^{2} - q^{3} + 8 q^{4} + q^{5} + 4 q^{6} - q^{7} - 7 q^{8} - q^{9}+O(q^{10}) \) 10 * q + 4 * q^2 - q^3 + 8 * q^4 + q^5 + 4 * q^6 - q^7 - 7 * q^8 - q^9	\( 10 q + 4 q^{2} - q^{3} + 8 q^{4} + q^{5} + 4 q^{6} - q^{7} - 7 q^{8} - q^{9} - 4 q^{10} - q^{11} - 3 q^{12} + 15 q^{13} - 7 q^{14} + q^{15} - 10 q^{16} - 24 q^{17} - 7 q^{18} + 5 q^{19} - 8 q^{20} - q^{21} + 26 q^{22} + 21 q^{23} - 18 q^{24} + 4 q^{25} + 6 q^{26} - q^{27} - 3 q^{28} - 22 q^{29} - 4 q^{30} - 8 q^{31} + 10 q^{32} - q^{33} + 8 q^{34} + q^{35} - 14 q^{36} - 2 q^{37} + 2 q^{38} + 15 q^{39} - 4 q^{40} + 7 q^{41} + 4 q^{42} + q^{43} + 19 q^{44} - 10 q^{45} + 15 q^{46} - 6 q^{47} + q^{48} - q^{49} - 16 q^{50} + 20 q^{51} - 21 q^{52} - q^{53} - 7 q^{54} + 12 q^{55} + 4 q^{56} - 6 q^{57} + 22 q^{58} + 10 q^{59} + 3 q^{60} + 5 q^{61} - 34 q^{62} - q^{63} + 13 q^{64} - 4 q^{65} - 7 q^{66} + 29 q^{67} - 28 q^{68} - q^{69} - 4 q^{70} + 22 q^{71} - 7 q^{72} - 33 q^{73} - 36 q^{74} + 4 q^{75} + 26 q^{76} - q^{77} + 28 q^{78} + 27 q^{79} - q^{80} - q^{81} + 38 q^{82} + 25 q^{83} + 8 q^{84} + 2 q^{85} + 18 q^{86} - 7 q^{88} - 38 q^{89} - 4 q^{90} - 18 q^{91} + 41 q^{92} - 30 q^{93} - 42 q^{94} + 6 q^{95} - 23 q^{96} - q^{97} + 4 q^{98} - q^{99}+O(q^{100}) \) 10 * q + 4 * q^2 - q^3 + 8 * q^4 + q^5 + 4 * q^6 - q^7 - 7 * q^8 - q^9 - 4 * q^10 - q^11 - 3 * q^12 + 15 * q^13 - 7 * q^14 + q^15 - 10 * q^16 - 24 * q^17 - 7 * q^18 + 5 * q^19 - 8 * q^20 - q^21 + 26 * q^22 + 21 * q^23 - 18 * q^24 + 4 * q^25 + 6 * q^26 - q^27 - 3 * q^28 - 22 * q^29 - 4 * q^30 - 8 * q^31 + 10 * q^32 - q^33 + 8 * q^34 + q^35 - 14 * q^36 - 2 * q^37 + 2 * q^38 + 15 * q^39 - 4 * q^40 + 7 * q^41 + 4 * q^42 + q^43 + 19 * q^44 - 10 * q^45 + 15 * q^46 - 6 * q^47 + q^48 - q^49 - 16 * q^50 + 20 * q^51 - 21 * q^52 - q^53 - 7 * q^54 + 12 * q^55 + 4 * q^56 - 6 * q^57 + 22 * q^58 + 10 * q^59 + 3 * q^60 + 5 * q^61 - 34 * q^62 - q^63 + 13 * q^64 - 4 * q^65 - 7 * q^66 + 29 * q^67 - 28 * q^68 - q^69 - 4 * q^70 + 22 * q^71 - 7 * q^72 - 33 * q^73 - 36 * q^74 + 4 * q^75 + 26 * q^76 - q^77 + 28 * q^78 + 27 * q^79 - q^80 - q^81 + 38 * q^82 + 25 * q^83 + 8 * q^84 + 2 * q^85 + 18 * q^86 - 7 * q^88 - 38 * q^89 - 4 * q^90 - 18 * q^91 + 41 * q^92 - 30 * q^93 - 42 * q^94 + 6 * q^95 - 23 * q^96 - q^97 + 4 * q^98 - q^99

Introduction

L-functions

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