LMFDB - Embedded newform 230.2.j.a.179.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(9,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 10]))

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

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

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (of order $22$, 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:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			179.4
Character	$\chi$	$=$	230.179
Dual form			230.2.j.a.9.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 + 0.959493i) q^{2} +(0.951117 + 0.824147i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-1.90749 + 1.16682i) q^{5} +(-1.05872 + 0.680401i) q^{6} +(-4.71597 + 2.15371i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-0.201540 - 1.40174i) q^{9} +O(q^{10})$	\(q+(-0.281733 + 0.959493i) q^{2} +(0.951117 + 0.824147i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-1.90749 + 1.16682i) q^{5} +(-1.05872 + 0.680401i) q^{6} +(-4.71597 + 2.15371i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-0.201540 - 1.40174i) q^{9} +(-0.582157 - 2.15896i) q^{10} +(-2.19093 + 0.643316i) q^{11} +(-0.354563 - 1.20753i) q^{12} +(2.34205 + 1.06958i) q^{13} +(-0.737829 - 5.13171i) q^{14} +(-2.77588 - 0.462268i) q^{15} +(0.415415 + 0.909632i) q^{16} +(3.46614 + 5.39342i) q^{17} +(1.40174 + 0.201540i) q^{18} +(5.04389 + 3.24151i) q^{19} +(2.23552 + 0.0496729i) q^{20} +(-6.26041 - 1.83822i) q^{21} -2.28343i q^{22} +(-4.75560 + 0.619884i) q^{23} +1.25851 q^{24} +(2.27704 - 4.45141i) q^{25} +(-1.68609 + 1.94585i) q^{26} +(3.00476 - 4.67549i) q^{27} +(5.13171 + 0.737829i) q^{28} +(-1.24018 + 0.797013i) q^{29} +(1.22560 - 2.53320i) q^{30} +(0.0386867 + 0.0446468i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-2.61402 - 1.19378i) q^{33} +(-6.15147 + 1.80623i) q^{34} +(6.48267 - 9.61089i) q^{35} +(-0.588293 + 1.28818i) q^{36} +(-2.82112 + 0.405616i) q^{37} +(-4.53124 + 3.92634i) q^{38} +(1.34607 + 2.94749i) q^{39} +(-0.677478 + 2.13097i) q^{40} +(-1.69364 + 11.7796i) q^{41} +(3.52753 - 5.48894i) q^{42} +(-2.17198 - 1.88203i) q^{43} +(2.19093 + 0.643316i) q^{44} +(2.02002 + 2.43865i) q^{45} +(0.745033 - 4.73761i) q^{46} +2.51684i q^{47} +(-0.354563 + 1.20753i) q^{48} +(13.0179 - 15.0234i) q^{49} +(3.62958 + 3.43892i) q^{50} +(-1.14827 + 7.98638i) q^{51} +(-1.39200 - 2.16599i) q^{52} +(8.37345 - 3.82403i) q^{53} +(3.63957 + 4.20028i) q^{54} +(3.42855 - 3.78355i) q^{55} +(-2.15371 + 4.71597i) q^{56} +(2.12585 + 7.23997i) q^{57} +(-0.415331 - 1.41449i) q^{58} +(-4.59819 + 10.0686i) q^{59} +(2.08530 + 1.88964i) q^{60} +(-1.22319 - 1.41164i) q^{61} +(-0.0537376 + 0.0245411i) q^{62} +(3.96941 + 6.17652i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-5.71545 + 0.692549i) q^{65} +(1.88188 - 2.17181i) q^{66} +(1.16513 - 3.96806i) q^{67} -6.41117i q^{68} +(-5.03401 - 3.32973i) q^{69} +(7.39520 + 8.92778i) q^{70} +(2.50686 + 0.736081i) q^{71} +(-1.07026 - 0.927386i) q^{72} +(3.81970 - 5.94357i) q^{73} +(0.405616 - 2.82112i) q^{74} +(5.83436 - 2.35719i) q^{75} +(-2.49070 - 5.45387i) q^{76} +(8.94686 - 7.75250i) q^{77} +(-3.20733 + 0.461144i) q^{78} +(-2.52526 + 5.52956i) q^{79} +(-1.85378 - 1.25040i) q^{80} +(2.63479 - 0.773644i) q^{81} +(-10.8252 - 4.94373i) q^{82} +(0.603766 - 0.0868084i) q^{83} +(4.27278 + 4.93105i) q^{84} +(-12.9048 - 6.24352i) q^{85} +(2.41771 - 1.55377i) q^{86} +(-1.83641 - 0.264036i) q^{87} +(-1.23452 + 1.92094i) q^{88} +(1.26042 - 1.45461i) q^{89} +(-2.90897 + 1.25115i) q^{90} -13.3486 q^{91} +(4.33580 + 2.04959i) q^{92} +0.0743478i q^{93} +(-2.41489 - 0.709075i) q^{94} +(-13.4035 - 0.297823i) q^{95} +(-1.05872 - 0.680401i) q^{96} +(5.40298 + 0.776832i) q^{97} +(10.7473 + 16.7232i) q^{98} +(1.34333 + 2.94147i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$3$	0.951117	+	0.824147i	0.549128	+	0.475822i	0.884679	−	0.466200i	$-0.154377\pi$
$3$	0.951117	+	0.824147i	0.549128	+	0.475822i	−0.335552	+	0.942022i	$0.608923\pi$
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	−1.90749	+	1.16682i	−0.853056	+	0.521819i
$5$	−1.90749	+	1.16682i	−0.853056	+	0.521819i
$6$	−1.05872	+	0.680401i	−0.432222	+	0.277772i
$7$	−4.71597	+	2.15371i	−1.78247	+	0.814026i	−0.808109	+	0.589033i	$0.799509\pi$
$7$	−4.71597	+	2.15371i	−1.78247	+	0.814026i	−0.974360	+	0.224994i	$0.927764\pi$
$8$	0.755750	−	0.654861i	0.267198	−	0.231528i
$9$	−0.201540	−	1.40174i	−0.0671801	−	0.467248i
$10$	−0.582157	−	2.15896i	−0.184094	−	0.682722i
$11$	−2.19093	+	0.643316i	−0.660592	+	0.193967i	−0.594809	−	0.803867i	$-0.702772\pi$
$11$	−2.19093	+	0.643316i	−0.660592	+	0.193967i	−0.0657822	+	0.997834i	$0.520954\pi$
$12$	−0.354563	−	1.20753i	−0.102353	−	0.348584i
$13$	2.34205	+	1.06958i	0.649568	+	0.296648i	0.712817	−	0.701350i	$-0.247419\pi$
$13$	2.34205	+	1.06958i	0.649568	+	0.296648i	−0.0632491	+	0.997998i	$0.520146\pi$
$14$	−0.737829	−	5.13171i	−0.197193	−	1.37151i
$15$	−2.77588	−	0.462268i	−0.716730	−	0.119357i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	3.46614	+	5.39342i	0.840662	+	1.30810i	0.949414	+	0.314027i	$0.101678\pi$
$17$	3.46614	+	5.39342i	0.840662	+	1.30810i	−0.108752	+	0.994069i	$0.534685\pi$
$18$	1.40174	+	0.201540i	0.330394	+	0.0475035i
$19$	5.04389	+	3.24151i	1.15715	+	0.743654i	0.971050	−	0.238877i	$-0.0767794\pi$
$19$	5.04389	+	3.24151i	1.15715	+	0.743654i	0.186098	+	0.982531i	$0.440416\pi$
$20$	2.23552	+	0.0496729i	0.499877	+	0.0111072i
$21$	−6.26041	−	1.83822i	−1.36613	−	0.401133i
$22$		−	2.28343i		−	0.486829i
$23$	−4.75560	+	0.619884i	−0.991611	+	0.129255i
$23$	−4.75560	+	0.619884i	−0.991611	+	0.129255i
$24$	1.25851			0.256892
$25$	2.27704	−	4.45141i	0.455409	−	0.890282i
$26$	−1.68609	+	1.94585i	−0.330668	+	0.381612i
$27$	3.00476	−	4.67549i	0.578266	−	0.899799i
$28$	5.13171	+	0.737829i	0.969802	+	0.139437i
$29$	−1.24018	+	0.797013i	−0.230295	+	0.148002i	−0.650700	−	0.759335i	$-0.725524\pi$
$29$	−1.24018	+	0.797013i	−0.230295	+	0.148002i	0.420405	+	0.907337i	$0.361888\pi$
$30$	1.22560	−	2.53320i	0.223763	−	0.462497i
$31$	0.0386867	+	0.0446468i	0.00694833	+	0.00801880i	0.759213	−	0.650842i	$-0.225584\pi$
$31$	0.0386867	+	0.0446468i	0.00694833	+	0.00801880i	−0.752265	+	0.658861i	$0.771039\pi$
$32$	−0.989821	+	0.142315i	−0.174977	+	0.0251579i
$33$	−2.61402	−	1.19378i	−0.455043	−	0.207811i
$34$	−6.15147	+	1.80623i	−1.05497	+	0.309767i
$35$	6.48267	−	9.61089i	1.09577	−	1.62454i
$36$	−0.588293	+	1.28818i	−0.0980489	+	0.214697i
$37$	−2.82112	+	0.405616i	−0.463790	+	0.0666829i	−0.370249	−	0.928933i	$-0.620728\pi$
$37$	−2.82112	+	0.405616i	−0.463790	+	0.0666829i	−0.0935407	+	0.995615i	$0.529819\pi$
$38$	−4.53124	+	3.92634i	−0.735064	+	0.636936i
$39$	1.34607	+	2.94749i	0.215544	+	0.471976i
$40$	−0.677478	+	2.13097i	−0.107119	+	0.336936i
$41$	−1.69364	+	11.7796i	−0.264503	+	1.83966i	0.233346	+	0.972394i	$0.425033\pi$
$41$	−1.69364	+	11.7796i	−0.264503	+	1.83966i	−0.497848	+	0.867264i	$0.665876\pi$
$42$	3.52753	−	5.48894i	0.544309	−	0.846961i
$43$	−2.17198	−	1.88203i	−0.331224	−	0.287007i	0.473332	−	0.880884i	$-0.343051\pi$
$43$	−2.17198	−	1.88203i	−0.331224	−	0.287007i	−0.804556	+	0.593877i	$0.797597\pi$
$44$	2.19093	+	0.643316i	0.330296	+	0.0969836i
$45$	2.02002	+	2.43865i	0.301127	+	0.363533i
$46$	0.745033	−	4.73761i	0.109849	−	0.698522i
$47$			2.51684i			0.367118i	0.983009	+	0.183559i	$0.0587619\pi$
$47$			2.51684i			0.367118i	−0.983009	+	0.183559i	$0.941238\pi$
$48$	−0.354563	+	1.20753i	−0.0511767	+	0.174292i
$49$	13.0179	−	15.0234i	1.85970	−	2.14620i
$50$	3.62958	+	3.43892i	0.513300	+	0.486336i
$51$	−1.14827	+	7.98638i	−0.160790	+	1.11832i
$52$	−1.39200	−	2.16599i	−0.193036	−	0.300369i
$53$	8.37345	−	3.82403i	1.15018	−	0.525271i	0.253233	−	0.967405i	$-0.418506\pi$
$53$	8.37345	−	3.82403i	1.15018	−	0.525271i	0.896949	+	0.442135i	$0.145779\pi$
$54$	3.63957	+	4.20028i	0.495282	+	0.571586i
$55$	3.42855	−	3.78355i	0.462306	−	0.510174i
$56$	−2.15371	+	4.71597i	−0.287802	+	0.630198i
$57$	2.12585	+	7.23997i	0.281575	+	0.958957i
$58$	−0.415331	−	1.41449i	−0.0545356	−	0.185731i
$59$	−4.59819	+	10.0686i	−0.598633	+	1.31082i	0.331450	+	0.943473i	$0.392462\pi$
$59$	−4.59819	+	10.0686i	−0.598633	+	1.31082i	−0.930083	+	0.367350i	$0.880265\pi$
$60$	2.08530	+	1.88964i	0.269211	+	0.243951i
$61$	−1.22319	−	1.41164i	−0.156614	−	0.180742i	0.672020	−	0.740533i	$-0.265427\pi$
$61$	−1.22319	−	1.41164i	−0.156614	−	0.180742i	−0.828634	+	0.559791i	$0.810881\pi$
$62$	−0.0537376	+	0.0245411i	−0.00682468	+	0.00311673i
$63$	3.96941	+	6.17652i	0.500099	+	0.778168i
$64$	0.142315	−	0.989821i	0.0177894	−	0.123728i
$65$	−5.71545	+	0.692549i	−0.708914	+	0.0859001i
$66$	1.88188	−	2.17181i	0.231644	−	0.267331i
$67$	1.16513	−	3.96806i	0.142343	−	0.484776i	−0.857201	−	0.514983i	$-0.827798\pi$
$67$	1.16513	−	3.96806i	0.142343	−	0.484776i	0.999544	+	0.0302066i	$0.00961653\pi$
$68$		−	6.41117i		−	0.777468i
$69$	−5.03401	−	3.32973i	−0.606023	−	0.400853i
$70$	7.39520	+	8.92778i	0.883896	+	1.06707i
$71$	2.50686	+	0.736081i	0.297510	+	0.0873567i	0.427081	−	0.904213i	$-0.359542\pi$
$71$	2.50686	+	0.736081i	0.297510	+	0.0873567i	−0.129571	+	0.991570i	$0.541360\pi$
$72$	−1.07026	−	0.927386i	−0.126131	−	0.109294i
$73$	3.81970	−	5.94357i	0.447062	−	0.695642i	−0.542451	−	0.840088i	$-0.682503\pi$
$73$	3.81970	−	5.94357i	0.447062	−	0.695642i	0.989513	+	0.144445i	$0.0461398\pi$
$74$	0.405616	−	2.82112i	0.0471519	−	0.327949i
$75$	5.83436	−	2.35719i	0.673693	−	0.272185i
$76$	−2.49070	−	5.45387i	−0.285703	−	0.625601i
$77$	8.94686	−	7.75250i	1.01959	−	0.883480i
$78$	−3.20733	+	0.461144i	−0.363158	+	0.0522143i
$79$	−2.52526	+	5.52956i	−0.284114	+	0.622124i	−0.996850	−	0.0793090i	$-0.974729\pi$
$79$	−2.52526	+	5.52956i	−0.284114	+	0.622124i	0.712736	+	0.701433i	$0.247456\pi$
$80$	−1.85378	−	1.25040i	−0.207259	−	0.139799i
$81$	2.63479	−	0.773644i	0.292755	−	0.0859605i
$82$	−10.8252	−	4.94373i	−1.19545	−	0.545943i
$83$	0.603766	−	0.0868084i	0.0662719	−	0.00952846i	−0.109099	−	0.994031i	$-0.534797\pi$
$83$	0.603766	−	0.0868084i	0.0662719	−	0.00952846i	0.175371	+	0.984502i	$0.443887\pi$
$84$	4.27278	+	4.93105i	0.466198	+	0.538021i
$85$	−12.9048	−	6.24352i	−1.39972	−	0.677205i
$86$	2.41771	−	1.55377i	0.260709	−	0.167547i
$87$	−1.83641	−	0.264036i	−0.196884	−	0.0283076i
$88$	−1.23452	+	1.92094i	−0.131600	+	0.204773i
$89$	1.26042	−	1.45461i	0.133605	−	0.154188i	−0.685005	−	0.728539i	$-0.740200\pi$
$89$	1.26042	−	1.45461i	0.133605	−	0.154188i	0.818609	+	0.574351i	$0.194745\pi$
$90$	−2.90897	+	1.25115i	−0.306633	+	0.131883i
$91$	−13.3486			−1.39931
$92$	4.33580	+	2.04959i	0.452039	+	0.213685i
$93$			0.0743478i			0.00770951i
$94$	−2.41489	−	0.709075i	−0.249077	−	0.0731355i
$95$	−13.4035	−	0.297823i	−1.37517	−	0.0305560i
$96$	−1.05872	−	0.680401i	−0.108056	−	0.0694431i
$97$	5.40298	+	0.776832i	0.548590	+	0.0788753i	0.411036	−	0.911619i	$-0.365167\pi$
$97$	5.40298	+	0.776832i	0.548590	+	0.0788753i	0.137554	+	0.990494i	$0.456076\pi$
$98$	10.7473	+	16.7232i	1.08564	+	1.68929i
$99$	1.34333	+	2.94147i	0.135009	+	0.295629i
$100$	−4.32219	+	2.51370i	−0.432219	+	0.251370i
$101$	−0.137115	−	0.953658i	−0.0136435	−	0.0948925i	0.981862	−	0.189597i	$-0.0607183\pi$
$101$	−0.137115	−	0.953658i	−0.0136435	−	0.0948925i	−0.995505	+	0.0947050i	$0.969809\pi$
$102$	−7.33937	−	3.35178i	−0.726706	−	0.331875i
$103$	−1.20605	−	4.10742i	−0.118835	−	0.404716i	0.878494	−	0.477754i	$-0.158549\pi$
$103$	−1.20605	−	4.10742i	−0.118835	−	0.404716i	−0.997329	+	0.0730377i	$0.976731\pi$
$104$	2.47043	−	0.725383i	0.242245	−	0.0711297i
$105$	14.0866	−	3.79841i	1.37471	−	0.370686i
$106$	1.31005	+	9.11162i	0.127244	+	0.884999i
$107$	−11.1022	+	9.62014i	−1.07329	+	0.930014i	−0.997744	−	0.0671276i	$-0.978617\pi$
$107$	−11.1022	+	9.62014i	−1.07329	+	0.930014i	−0.0755495	+	0.997142i	$0.524071\pi$
$108$	−5.05553	+	2.30878i	−0.486468	+	0.222163i
$109$	10.5609	−	6.78706i	1.01155	−	0.650083i	0.0737550	−	0.997276i	$-0.476502\pi$
$109$	10.5609	−	6.78706i	1.01155	−	0.650083i	0.937793	+	0.347194i	$0.112865\pi$
$110$	2.66436	+	4.35562i	0.254037	+	0.415292i
$111$	−3.01750	−	1.93923i	−0.286409	−	0.184064i
$112$	−3.91817	−	3.39511i	−0.370232	−	0.320808i
$113$	2.52010	−	8.58266i	0.237071	−	0.807389i	−0.751900	−	0.659277i	$-0.770862\pi$
$113$	2.52010	−	8.58266i	0.237071	−	0.807389i	0.988971	−	0.148112i	$-0.0473195\pi$
$114$	−7.54562			−0.706712
$115$	8.34797	−	6.73137i	0.778452	−	0.627704i
$116$	1.47420			0.136876
$117$	1.02726	−	3.49852i	0.0949700	−	0.323438i
$118$	−8.36531	−	7.24859i	−0.770090	−	0.667286i
$119$	−27.9621	−	17.9701i	−2.56328	−	1.64732i
$120$	−2.40059	+	1.46846i	−0.219143	+	0.134051i
$121$	−4.86745	+	3.12812i	−0.442496	+	0.284375i
$122$	1.69907	−	0.775940i	0.153827	−	0.0702503i
$123$	−11.3189	+	9.80792i	−1.02060	+	0.884351i
$124$	−0.00840741	−	0.0584748i	−0.000755008	−	0.00525120i
$125$	0.850572	+	11.1479i	0.0760774	+	0.997102i
$126$	−7.04464	+	2.06849i	−0.627586	+	0.184276i
$127$	4.01637	+	13.6785i	0.356395	+	1.21377i	0.921378	+	0.388668i	$0.127065\pi$
$127$	4.01637	+	13.6785i	0.356395	+	1.21377i	−0.564983	+	0.825103i	$0.691117\pi$
$128$	0.909632	+	0.415415i	0.0804009	+	0.0367178i
$129$	−0.514736	−	3.58006i	−0.0453199	−	0.315207i
$130$	0.945733	−	5.67905i	0.0829463	−	0.498085i
$131$	−2.83256	−	6.20244i	−0.247482	−	0.541910i	0.744599	−	0.667512i	$-0.232641\pi$
$131$	−2.83256	−	6.20244i	−0.247482	−	0.541910i	−0.992081	+	0.125603i	$0.959914\pi$
$132$	1.55365	+	2.41752i	0.135228	+	0.210418i
$133$	−30.7681	−	4.42379i	−2.66793	−	0.383591i
$134$	3.47907	+	2.23586i	0.300546	+	0.193149i
$135$	−0.276070	+	12.4245i	−0.0237604	+	1.06933i
$136$	6.15147	+	1.80623i	0.527484	+	0.154883i
$137$			6.35078i			0.542584i	0.962497	+	0.271292i	$0.0874509\pi$
$137$			6.35078i			0.542584i	−0.962497	+	0.271292i	$0.912549\pi$
$138$	4.61310	−	3.89200i	0.392693	−	0.331309i
$139$	4.15230			0.352194			0.176097	−	0.984373i	$-0.443653\pi$
$139$	4.15230			0.352194			0.176097	+	0.984373i	$0.443653\pi$
$140$	−10.6496	+	4.58040i	−0.900056	+	0.387115i
$141$	−2.07425	+	2.39381i	−0.174683	+	0.201595i
$142$	−1.41253	+	2.19794i	−0.118537	+	0.184447i
$143$	−5.81936	−	0.836697i	−0.486639	−	0.0699681i
$144$	1.19135	−	0.765633i	0.0992790	−	0.0638027i
$145$	1.43565	−	2.96736i	0.119224	−	0.246426i
$146$	4.62668	+	5.33947i	0.382907	+	0.441898i
$147$	24.7630	−	3.56039i	2.04242	−	0.293656i
$148$	2.59257	+	1.18399i	0.213108	+	0.0973232i
$149$	−6.77849	+	1.99034i	−0.555315	+	0.163055i	−0.547336	−	0.836913i	$-0.684358\pi$
$149$	−6.77849	+	1.99034i	−0.555315	+	0.163055i	−0.00797916	+	0.999968i	$0.502540\pi$
$150$	0.617982	+	6.26212i	0.0504580	+	0.511300i
$151$	6.96279	−	15.2464i	0.566623	−	1.24073i	−0.381952	−	0.924182i	$-0.624748\pi$
$151$	6.96279	−	15.2464i	0.566623	−	1.24073i	0.948576	−	0.316550i	$-0.102525\pi$
$152$	5.93466	−	0.853275i	0.481364	−	0.0692097i
$153$	6.86162	−	5.94563i	0.554729	−	0.480675i
$154$	4.91785	+	10.7686i	0.396291	+	0.867757i
$155$	−0.125889	−	0.0400228i	−0.0101117	−	0.00321471i
$156$	0.461144	−	3.20733i	0.0369211	−	0.256792i
$157$	−3.78167	+	5.88439i	−0.301810	+	0.469625i	−0.958723	−	0.284341i	$-0.908225\pi$
$157$	−3.78167	+	5.88439i	−0.301810	+	0.469625i	0.656913	+	0.753966i	$0.271862\pi$
$158$	−4.59412	−	3.98083i	−0.365489	−	0.316698i
$159$	11.1157	+	3.26386i	0.881532	+	0.258841i
$160$	1.72202	−	1.42641i	0.136138	−	0.112768i
$161$	21.0922	−	13.1655i	1.66230	−	1.03759i
$162$			2.74602i			0.215748i
$163$	−4.38321	+	14.9278i	−0.343319	+	1.16924i	0.589161	+	0.808016i	$0.299458\pi$
$163$	−4.38321	+	14.9278i	−0.343319	+	1.16924i	−0.932480	+	0.361222i	$0.882360\pi$
$164$	7.79329	−	8.99394i	0.608554	−	0.702309i
$165$	6.37916	−	0.772971i	0.496617	−	0.0601757i
$166$	−0.0868084	+	0.603766i	−0.00673764	+	0.0468613i
$167$	−0.520879	−	0.810504i	−0.0403068	−	0.0627187i	0.820515	−	0.571624i	$-0.193687\pi$
$167$	−0.520879	−	0.810504i	−0.0403068	−	0.0627187i	−0.860822	+	0.508906i	$0.830050\pi$
$168$	−5.93509	+	2.71046i	−0.457902	+	0.209117i
$169$	−4.17199	−	4.81473i	−0.320922	−	0.370364i
$170$	9.62632	−	10.6231i	0.738305	−	0.814751i
$171$	3.52722	−	7.72354i	0.269733	−	0.590634i
$172$	0.809683	+	2.75753i	0.0617378	+	0.210259i
$173$	−2.08713	−	7.10812i	−0.158682	−	0.540420i	0.841318	−	0.540540i	$-0.181780\pi$
$173$	−2.08713	−	7.10812i	−0.158682	−	0.540420i	−1.00000		0.000119804i	$0.999962\pi$
$174$	0.770717	−	1.68763i	0.0584279	−	0.127939i
$175$	−1.15142	+	25.8968i	−0.0870389	+	1.95762i
$176$	−1.49533	−	1.72570i	−0.112715	−	0.130080i
$177$	−12.6714	+	5.78685i	−0.952444	+	0.434967i
$178$	1.04058	+	1.61918i	0.0779950	+	0.121363i
$179$	0.522586	−	3.63466i	0.0390599	−	0.271667i	−0.960927	−	0.276802i	$-0.910725\pi$
$179$	0.522586	−	3.63466i	0.0390599	−	0.271667i	0.999987	+	0.00513471i	$0.00163444\pi$
$180$	−0.380918	−	3.14363i	−0.0283919	−	0.234312i
$181$	3.34960	−	3.86565i	0.248974	−	0.287331i	−0.617482	−	0.786585i	$-0.711847\pi$
$181$	3.34960	−	3.86565i	0.248974	−	0.287331i	0.866456	+	0.499254i	$0.166393\pi$
$182$	3.76074	−	12.8079i	0.278764	−	0.949384i
$183$		−	2.35073i		−	0.173771i
$184$	−3.18811	+	3.58273i	−0.235030	+	0.264123i
$185$	4.90798	−	4.06546i	0.360842	−	0.298899i
$186$	−0.0713362	−	0.0209462i	−0.00523062	−	0.00153585i
$187$	−11.0638	−	9.58680i	−0.809062	−	0.701056i
$188$	1.36070	−	2.11730i	0.0992396	−	0.154420i
$189$	−4.10068	+	28.5209i	−0.298281	+	2.07459i
$190$	4.06195	−	12.7766i	0.294685	−	0.926913i
$191$	6.61488	+	14.4846i	0.478636	+	1.04807i	0.982836	+	0.184480i	$0.0590601\pi$
$191$	6.61488	+	14.4846i	0.478636	+	1.04807i	−0.504200	+	0.863587i	$0.668213\pi$
$192$	0.951117	−	0.824147i	0.0686409	−	0.0594777i
$193$	16.2334	−	2.33400i	1.16850	−	0.168005i	0.469373	−	0.883000i	$-0.344480\pi$
$193$	16.2334	−	2.33400i	1.16850	−	0.168005i	0.699130	+	0.714995i	$0.253571\pi$
$194$	−2.26756	+	4.96527i	−0.162801	+	0.356485i
$195$	−6.00682	−	4.05168i	−0.430158	−	0.290147i
$196$	−19.0736	+	5.60052i	−1.36240	+	0.400037i
$197$	8.28190	+	3.78222i	0.590061	+	0.269472i	0.687988	−	0.725722i	$-0.258494\pi$
$197$	8.28190	+	3.78222i	0.590061	+	0.269472i	−0.0979275	+	0.995194i	$0.531221\pi$
$198$	−3.20078	+	0.460203i	−0.227470	+	0.0327052i
$199$	15.5311	+	17.9239i	1.10097	+	1.27059i	0.959824	+	0.280601i	$0.0905338\pi$
$199$	15.5311	+	17.9239i	1.10097	+	1.27059i	0.141148	+	0.989989i	$0.454921\pi$
$200$	−1.19418	−	4.85530i	−0.0844412	−	0.343322i
$201$	4.37844	−	2.81385i	0.308831	−	0.198474i
$202$	0.953658	+	0.137115i	0.0670991	+	0.00964740i
$203$	4.13210	−	6.42968i	0.290017	−	0.451275i
$204$	5.28375	−	6.09777i	0.369936	−	0.426929i
$205$	−10.5141	−	24.4456i	−0.734334	−	1.70735i
$206$	4.28082			0.298259
$207$	1.82736	+	6.54120i	0.127011	+	0.454645i
$208$			2.57472i			0.178525i
$209$	−13.1362	−	3.85712i	−0.908647	−	0.266803i
$210$	−0.324101	+	14.5861i	−0.0223651	+	1.00654i
$211$	2.20758	+	1.41873i	0.151976	+	0.0976692i	0.614419	−	0.788980i	$-0.289391\pi$
$211$	2.20758	+	1.41873i	0.151976	+	0.0976692i	−0.462443	+	0.886649i	$0.653027\pi$
$212$	−9.11162	−	1.31005i	−0.625789	−	0.0899748i
$213$	1.77768	+	2.76612i	0.121805	+	0.189532i
$214$	−6.10260	−	13.3628i	−0.417165	−	0.913464i
$215$	6.33903	+	1.05564i	0.432318	+	0.0719941i
$216$	−0.790953	−	5.50120i	−0.0538175	−	0.374309i
$217$	−0.278601	−	0.127233i	−0.0189127	−	0.00863714i
$218$	3.53680	+	12.0452i	0.239542	+	0.815805i
$219$	8.53136	−	2.50503i	0.576496	−	0.169274i
$220$	−4.92982	+	1.32931i	−0.332369	+	0.0896223i
$221$	2.34919	+	16.3390i	0.158023	+	1.09908i
$222$	2.71081	−	2.34893i	0.181938	−	0.157650i
$223$	13.0959	−	5.98069i	0.876966	−	0.400497i	0.0745183	−	0.997220i	$-0.476258\pi$
$223$	13.0959	−	5.98069i	0.876966	−	0.400497i	0.802447	+	0.596723i	$0.203531\pi$
$224$	4.36146	−	2.80294i	0.291413	−	0.187279i
$225$	−6.69865	−	2.29469i	−0.446577	−	0.152980i
$226$	7.52501	+	4.83603i	0.500556	+	0.321688i
$227$	−1.86666	−	1.61747i	−0.123894	−	0.107355i	0.590710	−	0.806884i	$-0.298848\pi$
$227$	−1.86666	−	1.61747i	−0.123894	−	0.107355i	−0.714604	+	0.699529i	$0.753393\pi$
$228$	2.12585	−	7.23997i	0.140788	−	0.479478i
$229$	−24.3983			−1.61228			−0.806142	−	0.591722i	$-0.798448\pi$
$229$	−24.3983			−1.61228			−0.806142	+	0.591722i	$0.798448\pi$
$230$	4.10681	+	9.90627i	0.270795	+	0.653200i
$231$	14.8987			0.980264
$232$	−0.415331	+	1.41449i	−0.0272678	+	0.0928656i
$233$	15.5592	+	13.4821i	1.01931	+	0.883241i	0.993200	−	0.116418i	$-0.0371411\pi$
$233$	15.5592	+	13.4821i	1.01931	+	0.883241i	0.0261146	+	0.999659i	$0.491687\pi$
$234$	3.06739	+	1.97129i	0.200522	+	0.128867i
$235$	−2.93671	−	4.80084i	−0.191570	−	0.313173i
$236$	9.31175	−	5.98430i	0.606143	−	0.389545i
$237$	−6.95899	+	3.17806i	−0.452035	+	0.206437i
$238$	25.1200	−	21.7666i	1.62829	−	1.41092i
$239$	−0.442468	−	3.07743i	−0.0286209	−	0.199062i	0.970494	−	0.241125i	$-0.0775163\pi$
$239$	−0.442468	−	3.07743i	−0.0286209	−	0.199062i	−0.999115	+	0.0420623i	$0.986607\pi$
$240$	−0.732649	−	2.71706i	−0.0472923	−	0.175386i
$241$	9.87037	−	2.89820i	0.635806	−	0.186690i	0.0520837	−	0.998643i	$-0.483414\pi$
$241$	9.87037	−	2.89820i	0.635806	−	0.186690i	0.583723	+	0.811953i	$0.301596\pi$
$242$	−1.63009	−	5.55158i	−0.104786	−	0.356869i
$243$	−12.0230	−	5.49071i	−0.771275	−	0.352229i
$244$	0.265825	+	1.84886i	0.0170177	+	0.118361i
$245$	−7.30179	+	43.8466i	−0.466494	+	2.80126i
$246$	−6.22172	−	13.6237i	−0.396682	−	0.868613i
$247$	8.34600	+	12.9866i	0.531043	+	0.826319i
$248$	0.0584748	+	0.00840741i	0.00371316	+	0.000533871i
$249$	0.645795	+	0.415027i	0.0409256	+	0.0263013i
$250$	−10.9360	−	2.32462i	−0.691654	−	0.147022i
$251$	−12.7825	−	3.75329i	−0.806827	−	0.236906i	−0.147793	−	0.989018i	$-0.547217\pi$
$251$	−12.7825	−	3.75329i	−0.806827	−	0.236906i	−0.659035	+	0.752113i	$0.729035\pi$
$252$		−	7.34204i		−	0.462505i
$253$	10.0204	−	4.41748i	0.629979	−	0.277725i
$254$	−14.2560			−0.894499
$255$	−7.12839	−	16.5738i	−0.446397	−	1.03789i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−2.22905	+	3.46846i	−0.139044	+	0.216357i	−0.903791	−	0.427974i	$-0.859228\pi$
$257$	−2.22905	+	3.46846i	−0.139044	+	0.216357i	0.764747	+	0.644331i	$0.222864\pi$
$258$	3.58006	+	0.514736i	0.222885	+	0.0320460i
$259$	12.4307	−	7.98876i	0.772409	−	0.496397i
$260$	5.18256	+	2.50740i	0.321409	+	0.155502i
$261$	1.36715	+	1.57778i	0.0846247	+	0.0976621i
$262$	6.74922	−	0.970392i	0.416968	−	0.0599510i
$263$	8.89016	+	4.06000i	0.548191	+	0.250350i	0.670202	−	0.742178i	$-0.266207\pi$
$263$	8.89016	+	4.06000i	0.548191	+	0.250350i	−0.122012	+	0.992529i	$0.538935\pi$
$264$	−2.75731	+	0.809619i	−0.169701	+	0.0498286i
$265$	−11.5103	+	17.0646i	−0.707073	+	1.04827i
$266$	12.9130	−	28.2755i	0.791745	−	1.73368i
$267$	2.39762	−	0.344726i	0.146732	−	0.0210969i
$268$	−3.12547	+	2.70823i	−0.190918	+	0.165432i
$269$	9.72977	+	21.3052i	0.593234	+	1.29900i	0.933468	+	0.358661i	$0.116767\pi$
$269$	9.72977	+	21.3052i	0.593234	+	1.29900i	−0.340234	+	0.940341i	$0.610506\pi$
$270$	−11.8434	−	3.76527i	−0.720768	−	0.229147i
$271$	0.396200	−	2.75563i	0.0240675	−	0.167393i	−0.974243	−	0.225502i	$-0.927598\pi$
$271$	0.396200	−	2.75563i	0.0240675	−	0.167393i	0.998310	+	0.0581087i	$0.0185070\pi$
$272$	−3.46614	+	5.39342i	−0.210166	+	0.327024i
$273$	−12.6961	−	11.0012i	−0.768402	−	0.665824i
$274$	−6.09353	−	1.78922i	−0.368124	−	0.108091i
$275$	−2.12519	+	11.2176i	−0.128154	+	0.676447i
$276$	2.43469	+	5.52274i	0.146551	+	0.332430i
$277$			5.14479i			0.309121i	0.987983	+	0.154560i	$0.0493961\pi$
$277$			5.14479i			0.309121i	−0.987983	+	0.154560i	$0.950604\pi$
$278$	−1.16984	+	3.98411i	−0.0701623	+	0.238951i
$279$	0.0547864	−	0.0632269i	0.00327998	−	0.00378529i
$280$	−1.39452	−	11.5087i	−0.0833386	−	0.687775i
$281$	3.35457	−	23.3315i	0.200117	−	1.39184i	−0.603817	−	0.797123i	$-0.706354\pi$
$281$	3.35457	−	23.3315i	0.200117	−	1.39184i	0.803934	−	0.594719i	$-0.202737\pi$
$282$	−1.71246	−	2.66464i	−0.101975	−	0.158677i
$283$	21.6945	−	9.90757i	1.28961	−	0.588944i	0.351792	−	0.936078i	$-0.385573\pi$
$283$	21.6945	−	9.90757i	1.28961	−	0.588944i	0.937815	+	0.347135i	$0.112845\pi$
$284$	−1.71095	−	1.97454i	−0.101526	−	0.117168i
$285$	−12.5028	−	11.3297i	−0.740602	−	0.671113i
$286$	2.44231	−	5.34791i	0.144417	−	0.316228i
$287$	−17.3826	−	59.1997i	−1.02606	−	3.49445i
$288$	0.398978	+	1.35879i	0.0235100	+	0.0800677i
$289$	−10.0128	+	21.9249i	−0.588987	+	1.28970i
$290$	2.44270	+	2.21350i	0.143440	+	0.129981i
$291$	4.49865	+	5.19171i	0.263715	+	0.304344i
$292$	−6.42667	+	2.93496i	−0.376093	+	0.171756i
$293$	−0.570702	−	0.888029i	−0.0333407	−	0.0518792i	0.824183	−	0.566323i	$-0.191635\pi$
$293$	−0.570702	−	0.888029i	−0.0333407	−	0.0518792i	−0.857524	+	0.514444i	$0.827998\pi$
$294$	−3.56039	+	24.7630i	−0.207646	+	1.44421i
$295$	−2.97731	−	24.5711i	−0.173346	−	1.43058i
$296$	−1.86644	+	2.15399i	−0.108485	+	0.125198i
$297$	−3.57540	+	12.1767i	−0.207466	+	0.706564i
$298$		−	7.06465i		−	0.409244i
$299$	−11.8009	−	3.63469i	−0.682462	−	0.210200i
$300$	−6.18257	−	1.17129i	−0.356951	−	0.0676247i
$301$	14.2964	+	4.19779i	0.824028	+	0.241956i
$302$	12.6671	+	10.9761i	0.728912	+	0.631606i
$303$	0.655542	−	1.02004i	0.0376599	−	0.0585999i
$304$	−0.853275	+	5.93466i	−0.0489387	+	0.340376i
$305$	3.98037	+	1.26544i	0.227915	+	0.0724589i
$306$	3.77165	+	8.25875i	0.215611	+	0.472121i
$307$	−15.4098	+	13.3526i	−0.879482	+	0.762075i	−0.972332	−	0.233605i	$-0.924948\pi$
$307$	−15.4098	+	13.3526i	−0.879482	+	0.762075i	0.0928499	+	0.995680i	$0.470402\pi$
$308$	−11.7179	+	1.68478i	−0.667689	+	0.0959992i
$309$	2.23803	−	4.90059i	0.127317	−	0.278785i
$310$	0.0738688	−	0.109514i	0.00419546	−	0.00621999i
$311$	18.1903	−	5.34115i	1.03148	−	0.302869i	0.278166	−	0.960533i	$-0.410274\pi$
$311$	18.1903	−	5.34115i	1.03148	−	0.302869i	0.753311	+	0.657664i	$0.228455\pi$
$312$	2.94749	+	1.34607i	0.166869	+	0.0762064i
$313$	−18.8059	+	2.70388i	−1.06297	+	0.152832i	−0.651544	−	0.758610i	$-0.725879\pi$
$313$	−18.8059	+	2.70388i	−1.06297	+	0.152832i	−0.411427	+	0.911443i	$0.634970\pi$
$314$	−4.58061	−	5.28631i	−0.258499	−	0.298324i
$315$	−14.7785	−	7.15006i	−0.832675	−	0.402860i
$316$	5.11389	−	3.28650i	0.287679	−	0.184880i
$317$	−6.25125	−	0.898794i	−0.351105	−	0.0504813i	−0.0354940	−	0.999370i	$-0.511300\pi$
$317$	−6.25125	−	0.898794i	−0.351105	−	0.0504813i	−0.315611	+	0.948889i	$0.602210\pi$
$318$	−6.26331	+	9.74589i	−0.351229	+	0.546523i
$319$	2.20441	−	2.54403i	0.123424	−	0.142438i
$320$	0.883483	+	2.05413i	0.0493882	+	0.114829i
$321$	−18.4879			−1.03190
$322$	6.68989	+	23.9470i	0.372813	+	1.33451i
$323$			38.4393i			2.13882i
$324$	−2.63479	−	0.773644i	−0.146377	−	0.0429802i
$325$	10.0941	−	7.98995i	0.559919	−	0.443203i
$326$	−13.0883	−	8.41131i	−0.724891	−	0.465859i
$327$	15.6382	+	2.24843i	0.864793	+	0.124338i
$328$	6.43400	+	10.0115i	0.355258	+	0.552792i
$329$	−5.42054	−	11.8693i	−0.298844	−	0.654377i
$330$	−1.05556	+	6.33853i	−0.0581065	+	0.348925i
$331$	−3.10124	−	21.5696i	−0.170460	−	1.18557i	−0.877916	−	0.478815i	$-0.841066\pi$
$331$	−3.10124	−	21.5696i	−0.170460	−	1.18557i	0.707456	−	0.706757i	$-0.249843\pi$
$332$	−0.554852	−	0.253393i	−0.0304515	−	0.0139067i
$333$	1.13714	+	3.87274i	0.0623149	+	0.212225i
$334$	0.924421	−	0.271435i	0.0505821	−	0.0148522i
$335$	2.40756	+	8.92854i	0.131539	+	0.487818i
$336$	−0.928563	−	6.45830i	−0.0506573	−	0.352329i
$337$	5.28719	−	4.58138i	0.288012	−	0.249563i	−0.498857	−	0.866685i	$-0.666247\pi$
$337$	5.28719	−	4.58138i	0.288012	−	0.249563i	0.786868	+	0.617121i	$0.211701\pi$
$338$	5.79508	−	2.64653i	0.315211	−	0.143952i
$339$	9.47029	−	6.08618i	0.514355	−	0.330556i
$340$	7.48070	+	12.2292i	0.405698	+	0.663224i
$341$	−0.113482	−	0.0729304i	−0.00614539	−	0.00394940i
$342$	6.41695	+	5.56031i	0.346989	+	0.300667i
$343$	−18.8113	+	64.0655i	−1.01572	+	3.45921i
$344$	−2.87394			−0.154953
$345$	13.4875	+	0.477638i	0.726145	+	0.0257152i
$346$	7.40820			0.398267
$347$	4.65039	−	15.8378i	0.249646	−	0.850216i	−0.735357	−	0.677680i	$-0.762986\pi$
$347$	4.65039	−	15.8378i	0.249646	−	0.850216i	0.985003	−	0.172536i	$-0.0551962\pi$
$348$	1.40214	+	1.21496i	0.0751625	+	0.0651287i
$349$	16.0887	+	10.3396i	0.861206	+	0.553464i	0.895051	−	0.445964i	$-0.147139\pi$
$349$	16.0887	+	10.3396i	0.861206	+	0.553464i	−0.0338450	+	0.999427i	$0.510775\pi$
$350$	−24.5234	−	8.40076i	−1.31083	−	0.449039i
$351$	12.0381	−	7.73642i	0.642546	−	0.412939i
$352$	2.07708	−	0.948571i	0.110709	−	0.0505590i
$353$	−10.3411	+	8.96065i	−0.550404	+	0.476927i	−0.885102	−	0.465398i	$-0.845911\pi$
$353$	−10.3411	+	8.96065i	−0.550404	+	0.476927i	0.334698	+	0.942325i	$0.391366\pi$
$354$	−1.98249	−	13.7885i	−0.105368	−	0.732851i
$355$	−5.64069	+	1.52100i	−0.299377	+	0.0807262i
$356$	−1.84676	+	0.542257i	−0.0978779	+	0.0287395i
$357$	−11.7852	−	40.1366i	−0.623737	−	2.12425i
$358$	3.34020	+	1.52542i	0.176535	+	0.0806209i
$359$	−3.09393	−	21.5187i	−0.163291	−	1.13571i	−0.892376	−	0.451292i	$-0.850963\pi$
$359$	−3.09393	−	21.5187i	−0.163291	−	1.13571i	0.729085	−	0.684423i	$-0.239946\pi$
$360$	3.12361	+	0.520175i	0.164629	+	0.0274156i
$361$	7.04055	+	15.4167i	0.370555	+	0.811403i
$362$	2.76537	+	4.30300i	0.145345	+	0.226161i
$363$	−7.20755	−	1.03629i	−0.378298	−	0.0543911i
$364$	11.2296	+	7.21680i	0.588589	+	0.378263i
$365$	−0.350946	+	15.7942i	−0.0183693	+	0.826708i
$366$	2.25551	+	0.662276i	0.117897	+	0.0346177i
$367$		−	1.23164i		−	0.0642910i	−0.999483	−	0.0321455i	$-0.989766\pi$
$367$		−	1.23164i		−	0.0642910i	0.999483	−	0.0321455i	$-0.0102340\pi$
$368$	−2.53941	−	4.06834i	−0.132376	−	0.212077i
$369$	16.8533			0.877345
$370$	2.51804	+	5.85455i	0.130907	+	0.304363i
$371$	−31.2531	+	36.0680i	−1.62258	+	1.87256i
$372$	0.0401955	−	0.0625454i	0.00208404	−	0.00324283i
$373$	−1.37341	−	0.197466i	−0.0711124	−	0.0102244i	0.106667	−	0.994295i	$-0.465982\pi$
$373$	−1.37341	−	0.197466i	−0.0711124	−	0.0102244i	−0.177779	+	0.984070i	$0.556891\pi$
$374$	12.3155	−	7.91468i	0.636819	−	0.409258i
$375$	−8.37855	+	11.3040i	−0.432667	+	0.583735i
$376$	1.64818	+	1.90210i	0.0849983	+	0.0980933i
$377$	−3.75703	+	0.540179i	−0.193497	+	0.0278206i
$378$	−26.2103	−	11.9698i	−1.34811	−	0.615662i
$379$	−20.3174	+	5.96573i	−1.04364	+	0.306439i	−0.758243	−	0.651972i	$-0.773942\pi$
$379$	−20.3174	+	5.96573i	−1.04364	+	0.306439i	−0.285392	+	0.958411i	$0.592124\pi$
$380$	11.1147	+	7.49700i	0.570171	+	0.384588i
$381$	−7.45306	+	16.3199i	−0.381832	+	0.836095i
$382$	−15.7615	+	2.26616i	−0.806427	+	0.115947i
$383$	2.48962	−	2.15726i	0.127213	−	0.110231i	−0.588931	−	0.808184i	$-0.700451\pi$
$383$	2.48962	−	2.15726i	0.127213	−	0.110231i	0.716144	+	0.697953i	$0.245905\pi$
$384$	0.522803	+	1.14478i	0.0266792	+	0.0584193i
$385$	−8.02026	+	25.2272i	−0.408750	+	1.28570i
$386$	−2.33400	+	16.2334i	−0.118798	+	0.826256i
$387$	−2.20038	+	3.42386i	−0.111852	+	0.174045i
$388$	−4.12529	−	3.57459i	−0.209430	−	0.181472i
$389$	−19.1664	−	5.62777i	−0.971777	−	0.285339i	−0.242951	−	0.970039i	$-0.578115\pi$
$389$	−19.1664	−	5.62777i	−0.971777	−	0.285339i	−0.728826	+	0.684699i	$0.759934\pi$
$390$	5.57988	−	4.62201i	0.282548	−	0.234045i
$391$	−19.8269	−	23.5003i	−1.00269	−	1.18846i
$392$		−	19.8789i		−	1.00403i
$393$	2.41763	−	8.23369i	0.121953	−	0.415335i
$394$	−5.96229	+	6.88085i	−0.300376	+	0.346652i
$395$	−1.63510	−	13.4941i	−0.0822708	−	0.678963i
$396$	0.460203	−	3.20078i	0.0231261	−	0.160845i
$397$	5.40887	+	8.41637i	0.271463	+	0.422405i	0.950042	−	0.312123i	$-0.101040\pi$
$397$	5.40887	+	8.41637i	0.271463	+	0.422405i	−0.678578	+	0.734528i	$0.737404\pi$
$398$	−21.5735	+	9.85227i	−1.08138	+	0.493849i
$399$	−25.6182	−	29.5650i	−1.28252	−	1.48010i
$400$	4.99507	+	0.222089i	0.249753	+	0.0111045i
$401$	4.05546	−	8.88023i	0.202520	−	0.443457i	−0.780934	−	0.624613i	$-0.785257\pi$
$401$	4.05546	−	8.88023i	0.202520	−	0.443457i	0.983454	+	0.181156i	$0.0579839\pi$
$402$	1.46632	+	4.99384i	0.0731336	+	0.249070i
$403$	0.0428529	+	0.145943i	0.00213465	+	0.00726996i
$404$	−0.400238	+	0.876398i	−0.0199126	+	0.0436024i
$405$	−4.12313	+	4.55006i	−0.204880	+	0.226094i
$406$	5.00508	+	5.77617i	0.248398	+	0.286667i
$407$	5.91995	−	2.70355i	0.293441	−	0.134010i
$408$	4.36216	+	6.78766i	0.215959	+	0.336039i
$409$	−3.17875	+	22.1087i	−0.157179	+	1.09321i	0.746621	+	0.665250i	$0.231675\pi$
$409$	−3.17875	+	22.1087i	−0.157179	+	1.09321i	−0.903800	+	0.427955i	$0.859234\pi$
$410$	26.4175	−	3.20105i	1.30467	−	0.158088i
$411$	−5.23398	+	6.04033i	−0.258173	+	0.297948i
$412$	−1.20605	+	4.10742i	−0.0594176	+	0.202358i
$413$		−	57.3865i		−	2.82380i
$414$	−6.79106	−	0.0895267i	−0.333763	−	0.00440000i
$415$	−1.05039	+	0.870075i	−0.0515615	+	0.0427103i
$416$	−2.47043	−	0.725383i	−0.121123	−	0.0355648i
$417$	3.94933	+	3.42211i	0.193399	+	0.167582i
$418$	7.40176	−	11.5174i	0.362032	−	0.563333i
$419$	2.15594	−	14.9949i	0.105325	−	0.732549i	−0.866897	−	0.498487i	$-0.833889\pi$
$419$	2.15594	−	14.9949i	0.105325	−	0.732549i	0.972222	−	0.234062i	$-0.0752017\pi$
$420$	−13.9039	−	4.42035i	−0.678443	−	0.215691i
$421$	5.95606	+	13.0420i	0.290281	+	0.635626i	0.997446	−	0.0714221i	$-0.0227537\pi$
$421$	5.95606	+	13.0420i	0.290281	+	0.635626i	−0.707166	+	0.707048i	$0.750026\pi$
$422$	−1.98321	+	1.71846i	−0.0965410	+	0.0836532i
$423$	3.52796	−	0.507244i	0.171535	−	0.0246631i
$424$	3.82403	−	8.37345i	0.185711	−	0.406651i
$425$	31.9009	−	3.14816i	1.54742	−	0.152708i
$426$	−3.15491	+	0.926364i	−0.152856	+	0.0448825i
$427$	8.80881	+	4.02285i	0.426288	+	0.194679i
$428$	14.5408	−	2.09066i	0.702858	−	0.101056i
$429$	−4.84533	−	5.59180i	−0.233935	−	0.269975i
$430$	−2.79879	+	5.78485i	−0.134970	+	0.278970i
$431$	16.9948	−	10.9219i	0.818610	−	0.526089i	−0.0630297	−	0.998012i	$-0.520076\pi$
$431$	16.9948	−	10.9219i	0.818610	−	0.526089i	0.881640	+	0.471923i	$0.156440\pi$
$432$	5.50120	+	0.790953i	0.264677	+	0.0380547i
$433$	8.01987	−	12.4792i	0.385411	−	0.599711i	−0.593294	−	0.804986i	$-0.702173\pi$
$433$	8.01987	−	12.4792i	0.385411	−	0.599711i	0.978704	+	0.205276i	$0.0658091\pi$
$434$	0.200570	−	0.231470i	0.00962768	−	0.0111109i
$435$	3.81102	−	1.63912i	0.182724	−	0.0785898i
$436$	−12.5537			−0.601215
$437$	−25.9961	−	12.2887i	−1.24356	−	0.587849i
$438$			8.89153i			0.424854i
$439$	23.8354	+	6.99872i	1.13760	+	0.334031i	0.795692	−	0.605701i	$-0.207107\pi$
$439$	23.8354	+	6.99872i	1.13760	+	0.334031i	0.341912	+	0.939732i	$0.388926\pi$
$440$	0.113425	−	5.10464i	0.00540730	−	0.243354i
$441$	−23.6826	−	15.2199i	−1.12774	−	0.724757i
$442$	−16.3390	−	2.34919i	−0.777165	−	0.111739i
$443$	0.857306	+	1.33399i	0.0407318	+	0.0633800i	0.861022	−	0.508567i	$-0.169825\pi$
$443$	0.857306	+	1.33399i	0.0407318	+	0.0633800i	−0.820291	+	0.571947i	$0.806188\pi$
$444$	1.49006	+	3.26277i	0.0707150	+	0.154844i
$445$	−0.706978	+	4.24534i	−0.0335140	+	0.201249i
$446$	2.04889	+	14.2504i	0.0970179	+	0.674775i
$447$	−8.08747	−	3.69342i	−0.382524	−	0.174693i
$448$	1.46064	+	4.97447i	0.0690086	+	0.235022i
$449$	28.5778	−	8.39119i	1.34867	−	0.396005i	0.473914	−	0.880571i	$-0.342841\pi$
$449$	28.5778	−	8.39119i	1.34867	−	0.396005i	0.874755	+	0.484566i	$0.161023\pi$
$450$	4.08897	−	5.78082i	0.192756	−	0.272511i
$451$	−3.86732	−	26.8978i	−0.182105	−	1.26657i
$452$	−6.76018	+	5.85773i	−0.317972	+	0.275524i
$453$	19.1877	−	8.76272i	0.901516	−	0.411709i
$454$	2.07785	−	1.33535i	0.0975183	−	0.0626712i
$455$	25.4623	−	15.5755i	1.19369	−	0.730189i
$456$	6.34778	+	4.07947i	0.297262	+	0.191039i
$457$	24.0354	+	20.8268i	1.12433	+	0.974235i	0.999838	−	0.0179862i	$-0.00572549\pi$
$457$	24.0354	+	20.8268i	1.12433	+	0.974235i	0.124489	+	0.992221i	$0.460271\pi$
$458$	6.87379	−	23.4100i	0.321191	−	1.09388i
$459$	35.6318			1.66315
$460$	−10.6620	+	1.14954i	−0.497119	+	0.0535974i
$461$	−4.24198			−0.197569			−0.0987843	−	0.995109i	$-0.531495\pi$
$461$	−4.24198			−0.197569			−0.0987843	+	0.995109i	$0.531495\pi$
$462$	−4.19745	+	14.2952i	−0.195283	+	0.665074i
$463$	15.4907	+	13.4227i	0.719912	+	0.623807i	0.935767	−	0.352618i	$-0.114709\pi$
$463$	15.4907	+	13.4227i	0.719912	+	0.623807i	−0.215855	+	0.976425i	$0.569254\pi$
$464$	−1.24018	−	0.797013i	−0.0575738	−	0.0370004i
$465$	−0.0867508	−	0.141818i	−0.00402297	−	0.00657664i
$466$	−17.3195	+	11.1306i	−0.802310	+	0.515614i
$467$	28.8610	−	13.1804i	1.33553	−	0.609915i	0.385682	−	0.922632i	$-0.373966\pi$
$467$	28.8610	−	13.1804i	1.33553	−	0.609915i	0.949847	+	0.312716i	$0.101239\pi$
$468$	−2.75562	+	2.38776i	−0.127379	+	0.110374i
$469$	3.05135	+	21.2226i	0.140898	+	0.979969i
$470$	5.43374	−	1.46519i	0.250640	−	0.0675844i
$471$	−8.44641	+	2.48009i	−0.389190	+	0.114277i
$472$	3.11847	+	10.6205i	0.143539	+	0.488849i
$473$	5.96941	+	2.72614i	0.274474	+	0.125348i
$474$	−1.08876	−	7.57247i	−0.0500082	−	0.347815i
$475$	25.9145	−	15.0714i	1.18904	−	0.691522i
$476$	13.8078	+	30.2349i	0.632880	+	1.38581i
$477$	−7.04789	−	10.9667i	−0.322701	−	0.502132i
$478$	3.07743	+	0.442468i	0.140758	+	0.0202380i
$479$	−11.7958	−	7.58073i	−0.538966	−	0.346372i	0.242669	−	0.970109i	$-0.421977\pi$
$479$	−11.7958	−	7.58073i	−0.538966	−	0.346372i	−0.781634	+	0.623737i	$0.785614\pi$
$480$	2.81341	+	0.0625137i	0.128414	+	0.00285335i
$481$	−7.04105	−	2.06744i	−0.321044	−	0.0942671i
$482$			10.2871i			0.468563i
$483$	30.9115	+	4.86113i	1.40652	+	0.221189i
$484$	5.78595			0.262998
$485$	−11.2126	+	4.82253i	−0.509137	+	0.218980i
$486$	8.65557	−	9.98906i	0.392624	−	0.453113i
$487$	10.0725	−	15.6731i	0.456427	−	0.710214i	−0.534418	−	0.845221i	$-0.679469\pi$
$487$	10.0725	−	15.6731i	0.456427	−	0.710214i	0.990845	+	0.135006i	$0.0431054\pi$
$488$	−1.84886	−	0.265825i	−0.0836938	−	0.0120333i
$489$	−16.4717	+	10.5857i	−0.744875	+	0.478702i
$490$	−40.0134	−	19.3590i	−1.80762	−	0.874552i
$491$	4.84920	+	5.59627i	0.218841	+	0.252556i	0.854546	−	0.519376i	$-0.173836\pi$
$491$	4.84920	+	5.59627i	0.218841	+	0.252556i	−0.635704	+	0.771933i	$0.719290\pi$
$492$	14.8247	−	2.13147i	0.668348	−	0.0960939i
$493$	−8.59725	−	3.92623i	−0.387201	−	0.176829i
$494$	−14.8119	+	4.34917i	−0.666419	+	0.195678i
$495$	−5.99456	−	4.04341i	−0.269436	−	0.181738i
$496$	−0.0245411	+	0.0537376i	−0.00110193	+	0.00241289i
$497$	−13.4076	+	1.92772i	−0.601413	+	0.0864701i
$498$	−0.580157	+	0.502709i	−0.0259975	+	0.0225269i
$499$	4.72459	+	10.3454i	0.211502	+	0.463124i	0.985415	−	0.170167i	$-0.0544308\pi$
$499$	4.72459	+	10.3454i	0.211502	+	0.463124i	−0.773914	+	0.633291i	$0.781704\pi$
$500$	5.31148	−	9.83810i	0.237537	−	0.439973i
$501$	0.172558	−	1.20017i	0.00770931	−	0.0536194i
$502$	7.20252	−	11.2073i	0.321464	−	0.500208i
$503$	−20.6382	−	17.8831i	−0.920212	−	0.797368i	0.0594070	−	0.998234i	$-0.481079\pi$
$503$	−20.6382	−	17.8831i	−0.920212	−	0.797368i	−0.979619	+	0.200866i	$0.935624\pi$
$504$	7.04464	+	2.06849i	0.313793	+	0.0921380i
$505$	1.37430	+	1.65910i	0.0611554	+	0.0738292i
$506$	1.41546	+	10.8591i	0.0629249	+	0.482745i
$507$		−	8.01770i		−	0.356079i
$508$	4.01637	−	13.6785i	0.178198	−	0.606885i
$509$	10.3925	−	11.9936i	0.460639	−	0.531606i	−0.477145	−	0.878825i	$-0.658328\pi$
$509$	10.3925	−	11.9936i	0.460639	−	0.531606i	0.937784	+	0.347218i	$0.112874\pi$
$510$	17.9107	−	2.17026i	0.793100	−	0.0961009i
$511$	−5.21286	+	36.2562i	−0.230603	+	1.60388i
$512$	−0.540641	−	0.841254i	−0.0238932	−	0.0371785i
$513$	30.3113	−	13.8427i	1.33828	−	0.611171i
$514$	−2.69997	−	3.11593i	−0.119091	−	0.137438i
$515$	7.09316	+	6.42762i	0.312562	+	0.283235i
$516$	−1.50251	+	3.29003i	−0.0661441	+	0.144835i
$517$	−1.61912	−	5.51423i	−0.0712089	−	0.242515i
$518$	4.16301	+	14.1779i	0.182912	+	0.622942i
$519$	3.87303	−	8.48076i	0.170007	−	0.372264i
$520$	−3.86593	+	4.26622i	−0.169532	+	0.187086i
$521$	−7.20928	−	8.31996i	−0.315844	−	0.364504i	0.575523	−	0.817786i	$-0.304799\pi$
$521$	−7.20928	−	8.31996i	−0.315844	−	0.364504i	−0.891367	+	0.453282i	$0.850253\pi$
$522$	−1.89904	+	0.867263i	−0.0831187	+	0.0379591i
$523$	−7.23208	−	11.2533i	−0.316237	−	0.492074i	0.646352	−	0.763039i	$-0.276294\pi$
$523$	−7.23208	−	11.2533i	−0.316237	−	0.492074i	−0.962589	+	0.270965i	$0.912657\pi$
$524$	−0.970392	+	6.74922i	−0.0423918	+	0.294841i
$525$	−22.4379	+	23.6820i	−0.979272	+	1.03357i
$526$	−6.40019	+	7.38621i	−0.279061	+	0.322054i
$527$	−0.106705	+	0.363405i	−0.00464816	+	0.0158302i
$528$		−	2.87371i		−	0.125062i
$529$	22.2315	−	5.89584i	0.966586	−	0.256341i
$530$	−13.1306	−	15.8517i	−0.570356	−	0.688555i
$531$	15.0403	+	4.41624i	0.652695	+	0.191649i
$532$	23.4921	+	20.3560i	1.01851	+	0.882546i
$533$	−16.5658	+	25.7768i	−0.717543	+	1.11652i
$534$	−0.344726	+	2.39762i	−0.0149178	+	0.103755i
$535$	9.95241	−	31.3047i	0.430280	−	1.35342i
$536$	−1.71798	−	3.76186i	−0.0742056	−	0.162488i
$537$	3.49254	−	3.02630i	0.150714	−	0.130595i
$538$	−23.1834	+	3.33327i	−0.999507	+	0.143707i
$539$	−18.8565	+	41.2900i	−0.812207	+	1.77848i
$540$	6.94943	−	10.3029i	0.299056	−	0.443366i
$541$	−25.6122	+	7.52043i	−1.10116	+	0.323328i	−0.781311	−	0.624142i	$-0.785449\pi$
$541$	−25.6122	+	7.52043i	−1.10116	+	0.323328i	−0.319844	+	0.947470i	$0.603631\pi$
$542$	2.53239	+	1.15650i	0.108775	+	0.0496761i
$543$	6.37173	−	0.916116i	0.273437	−	0.0393143i
$544$	−4.19842	−	4.84524i	−0.180006	−	0.207738i
$545$	−12.2255	+	25.2689i	−0.523682	+	1.08240i
$546$	14.1325	−	9.08240i	0.604815	−	0.388691i
$547$	−20.1556	−	2.89794i	−0.861791	−	0.123907i	−0.302774	−	0.953063i	$-0.597913\pi$
$547$	−20.1556	−	2.89794i	−0.861791	−	0.123907i	−0.559018	+	0.829156i	$0.688822\pi$
$548$	3.43349	−	5.34262i	0.146671	−	0.228225i
$549$	−1.73223	+	1.99911i	−0.0739300	+	0.0853198i
$550$	−10.1645	−	5.19947i	−0.433415	−	0.221706i
$551$	−8.83885			−0.376548
$552$	−5.98496	+	0.780129i	−0.254737	+	0.0332045i
$553$		−	31.5159i		−	1.34019i
$554$	−4.93639	−	1.44946i	−0.209727	−	0.0615815i
$555$	8.01861	+	0.178172i	0.340371	+	0.00756300i
$556$	−3.49314	−	2.24491i	−0.148142	−	0.0952052i
$557$	−13.8849	−	1.99635i	−0.588322	−	0.0845880i	−0.158276	−	0.987395i	$-0.550594\pi$
$557$	−13.8849	−	1.99635i	−0.588322	−	0.0845880i	−0.430046	+	0.902807i	$0.641503\pi$
$558$	0.0452306	+	0.0703802i	0.00191477	+	0.00297943i
$559$	−3.07391	−	6.73092i	−0.130012	−	0.284687i
$560$	11.4354	+	1.90433i	0.483233	+	0.0804728i
$561$	−2.62199	−	18.2363i	−0.110700	−	0.769938i
$562$	21.4413	+	9.79193i	0.904448	+	0.413048i
$563$	−0.372801	−	1.26964i	−0.0157117	−	0.0535091i	0.951264	−	0.308378i	$-0.0997860\pi$
$563$	−0.372801	−	1.26964i	−0.0157117	−	0.0535091i	−0.966976	+	0.254868i	$0.917968\pi$
$564$	3.03916	−	0.892377i	0.127972	−	0.0375758i
$565$	5.20739	+	19.3119i	0.219077	+	0.812456i
$566$	3.39418	+	23.6071i	0.142668	+	0.992278i
$567$	−10.7594	+	9.32306i	−0.451852	+	0.391532i
$568$	2.37659	−	1.08535i	0.0997195	−	0.0455404i
$569$	1.89726	−	1.21930i	0.0795375	−	0.0511156i	−0.500268	−	0.865871i	$-0.666765\pi$
$569$	1.89726	−	1.21930i	0.0795375	−	0.0511156i	0.579805	+	0.814755i	$0.303129\pi$
$570$	14.3932	−	8.80441i	0.602865	−	0.368776i
$571$	23.7275	+	15.2487i	0.992965	+	0.638140i	0.932930	−	0.360057i	$-0.117243\pi$
$571$	23.7275	+	15.2487i	0.992965	+	0.638140i	0.0600344	+	0.998196i	$0.480879\pi$
$572$	4.44320	+	3.85006i	0.185780	+	0.160979i
$573$	−5.64590	+	19.2282i	−0.235861	+	0.803268i
$574$	61.6989			2.57526
$575$	−8.06936	+	22.5806i	−0.336515	+	0.941678i
$576$	−1.41616			−0.0590066
$577$	10.0441	−	34.2072i	0.418143	−	1.42407i	−0.434074	−	0.900877i	$-0.642924\pi$
$577$	10.0441	−	34.2072i	0.418143	−	1.42407i	0.852217	−	0.523188i	$-0.175257\pi$
$578$	−18.2159	−	15.7841i	−0.757681	−	0.656534i
$579$	17.3634	+	11.1588i	0.721598	+	0.463743i
$580$	−2.81203	+	1.72013i	−0.116763	+	0.0714246i
$581$	−2.66038	+	1.70972i	−0.110371	+	0.0709313i
$582$	−6.24883	+	2.85374i	−0.259022	+	0.118291i
$583$	−15.8856	+	13.7650i	−0.657915	+	0.570087i
$584$	−1.00547	−	6.99322i	−0.0416068	−	0.289382i
$585$	2.12267	+	7.87202i	0.0877615	+	0.325468i
$586$	1.01284	−	0.297398i	0.0418402	−	0.0122854i
$587$	11.1756	+	38.0606i	0.461267	+	1.57093i	0.781697	+	0.623659i	$0.214354\pi$
$587$	11.1756	+	38.0606i	0.461267	+	1.57093i	−0.320430	+	0.947272i	$0.603827\pi$
$588$	−22.7569	−	10.3927i	−0.938479	−	0.428589i
$589$	0.0504082	+	0.350597i	0.00207703	+	0.0144461i
$590$	24.4146	+	4.06577i	1.00513	+	0.167385i
$591$	4.75995	+	10.4228i	0.195798	+	0.428738i
$592$	−1.54090	−	2.39768i	−0.0633305	−	0.0985442i
$593$	−33.5886	−	4.82930i	−1.37932	−	0.198316i	−0.587574	−	0.809171i	$-0.699917\pi$
$593$	−33.5886	−	4.82930i	−1.37932	−	0.198316i	−0.791743	+	0.610855i	$0.790826\pi$
$594$	−10.6762	−	6.86115i	−0.438048	−	0.281516i
$595$	74.3054	+	1.65106i	3.04622	+	0.0676867i
$596$	6.77849	+	1.99034i	0.277658	+	0.0815276i
$597$			29.8476i			1.22158i
$598$	6.81215	−	10.2988i	0.278569	−	0.421151i
$599$	7.55512			0.308694			0.154347	−	0.988017i	$-0.450673\pi$
$599$	7.55512			0.308694			0.154347	+	0.988017i	$0.450673\pi$
$600$	2.86568	−	5.60214i	0.116991	−	0.228706i
$601$	6.29242	−	7.26184i	0.256673	−	0.296217i	−0.612758	−	0.790270i	$-0.709940\pi$
$601$	6.29242	−	7.26184i	0.256673	−	0.296217i	0.869431	+	0.494054i	$0.164485\pi$
$602$	−8.05549	+	12.5346i	−0.328317	+	0.510872i
$603$	−5.79703	−	0.833486i	−0.236073	−	0.0339422i
$604$	−14.1003	+	9.06170i	−0.573732	+	0.368715i
$605$	5.63465	−	11.6463i	0.229081	−	0.473490i
$606$	0.794037	+	0.916367i	0.0322555	+	0.0372249i
$607$	0.952905	−	0.137007i	0.0386772	−	0.00556094i	−0.122949	−	0.992413i	$-0.539235\pi$
$607$	0.952905	−	0.137007i	0.0386772	−	0.00556094i	0.161626	+	0.986852i	$0.448326\pi$
$608$	−5.45387	−	2.49070i	−0.221184	−	0.101011i
$609$	9.22911	−	2.70991i	0.373983	−	0.109811i
$610$	−2.33558	+	3.46262i	−0.0945649	+	0.140197i
$611$	−2.69196	+	5.89456i	−0.108905	+	0.238468i
$612$	−8.98681	+	1.29211i	−0.363270	+	0.0522304i
$613$	−10.0312	+	8.69205i	−0.405155	+	0.351068i	−0.833474	−	0.552559i	$-0.813651\pi$
$613$	−10.0312	+	8.69205i	−0.405155	+	0.351068i	0.428319	+	0.903628i	$0.359106\pi$
$614$	−8.47033	−	18.5474i	−0.341835	−	0.748513i
$615$	10.1467	−	31.9157i	0.409153	−	1.28697i
$616$	1.68478	−	11.7179i	0.0678817	−	0.472128i
$617$	−25.3109	+	39.3845i	−1.01898	+	1.58556i	−0.228053	+	0.973649i	$0.573236\pi$
$617$	−25.3109	+	39.3845i	−1.01898	+	1.58556i	−0.790926	+	0.611912i	$0.790401\pi$
$618$	4.07156	+	3.52803i	0.163782	+	0.141918i
$619$	−44.9233	−	13.1907i	−1.80562	−	0.530178i	−0.807411	−	0.589989i	$-0.799132\pi$
$619$	−44.9233	−	13.1907i	−1.80562	−	0.530178i	−0.998210	+	0.0598105i	$0.980950\pi$
$620$	0.0842669	+	0.101730i	0.00338424	+	0.00408559i
$621$	−11.3912	+	24.0974i	−0.457112	+	0.966995i
$622$			18.9582i			0.760156i
$623$	−2.81132	+	9.57448i	−0.112633	+	0.383593i
$624$	−2.12195	+	2.44886i	−0.0849460	+	0.0980330i
$625$	−14.6301	−	20.2721i	−0.585205	−	0.810885i
$626$	2.70388	−	18.8059i	0.108069	−	0.751634i
$627$	−9.31518	−	14.4947i	−0.372012	−	0.578863i
$628$	6.36268	−	2.90574i	0.253899	−	0.115952i
$629$	−11.9661	−	13.8096i	−0.477118	−	0.550623i
$630$	11.0240	−	12.1655i	0.439208	−	0.484685i
$631$	−9.16538	+	20.0694i	−0.364868	+	0.798950i	0.634787	+	0.772687i	$0.281088\pi$
$631$	−9.16538	+	20.0694i	−0.364868	+	0.798950i	−0.999655	+	0.0262625i	$0.991639\pi$
$632$	1.71262	+	5.83266i	0.0681245	+	0.232011i
$633$	0.930429	+	3.16875i	0.0369812	+	0.125946i
$634$	2.62357	−	5.74481i	0.104195	−	0.228156i
$635$	−23.6216	−	21.4052i	−0.937394	−	0.849440i
$636$	−7.58654	−	8.75533i	−0.300826	−	0.347172i
$637$	46.5573	−	21.2620i	1.84467	−	0.842431i
$638$	1.81992	+	2.83186i	0.0720515	+	0.112114i
$639$	0.526563	−	3.66233i	0.0208305	−	0.144879i
$640$	−2.21983	+	0.268980i	−0.0877465	+	0.0106324i
$641$	−13.2573	+	15.2998i	−0.523633	+	0.604305i	−0.954537	−	0.298093i	$-0.903649\pi$
$641$	−13.2573	+	15.2998i	−0.523633	+	0.604305i	0.430904	+	0.902398i	$0.358195\pi$
$642$	5.20866	−	17.7391i	0.205569	−	0.700105i
$643$		−	3.05833i		−	0.120609i	−0.998180	−	0.0603043i	$-0.980793\pi$
$643$		−	3.05833i		−	0.120609i	0.998180	−	0.0603043i	$-0.0192071\pi$
$644$	−24.8617	−	0.327753i	−0.979690	−	0.0129153i
$645$	5.15916	+	6.22834i	0.203142	+	0.245240i
$646$	−36.8823	−	10.8296i	−1.45111	−	0.426085i
$647$	−18.0228	−	15.6169i	−0.708550	−	0.613962i	0.224176	−	0.974549i	$-0.428031\pi$
$647$	−18.0228	−	15.6169i	−0.708550	−	0.613962i	−0.932726	+	0.360587i	$0.882577\pi$
$648$	1.48461	−	2.31010i	0.0583211	−	0.0907494i
$649$	3.59701	−	25.0178i	0.141195	−	0.982034i
$650$	4.82247	+	11.9362i	0.189153	+	0.468178i
$651$	−0.160124	−	0.350622i	−0.00627574	−	0.0137420i
$652$	11.7580	−	10.1883i	0.460478	−	0.399006i
$653$	−39.6254	+	5.69727i	−1.55066	+	0.222951i	−0.863799	−	0.503837i	$-0.831921\pi$
$653$	−39.6254	+	5.69727i	−1.55066	+	0.222951i	−0.686861	+	0.726788i	$0.741012\pi$
$654$	−6.56313	+	14.3713i	−0.256639	+	0.561961i
$655$	12.6402	+	8.52600i	0.493895	+	0.333139i
$656$	−11.4186	+	3.35281i	−0.445823	+	0.130905i
$657$	−9.10119	−	4.15637i	−0.355071	−	0.162156i
$658$	12.9157	−	1.85699i	0.503506	−	0.0723932i
$659$	−7.98515	−	9.21535i	−0.311057	−	0.358979i	0.578597	−	0.815613i	$-0.303600\pi$
$659$	−7.98515	−	9.21535i	−0.311057	−	0.358979i	−0.889655	+	0.456634i	$0.849055\pi$
$660$	−5.78439	−	2.79857i	−0.225157	−	0.108934i
$661$	−11.2131	+	7.20620i	−0.436138	+	0.280289i	−0.740230	−	0.672354i	$-0.765283\pi$
$661$	−11.2131	+	7.20620i	−0.436138	+	0.280289i	0.304092	+	0.952643i	$0.401647\pi$
$662$	21.5696	+	3.10124i	0.838327	+	0.120533i
$663$	−11.2314	+	17.4763i	−0.436190	+	0.678725i
$664$	0.399448	−	0.460988i	0.0155016	−	0.0178898i
$665$	63.8517	−	27.4626i	2.47606	−	1.06496i
$666$	−4.03624			−0.156401
$667$	5.40373	−	4.55904i	0.209233	−	0.176527i
$668$			0.963448i			0.0372769i
$669$	17.3847	+	5.10461i	0.672131	+	0.197356i
$670$	−9.24516	−	0.205426i	−0.357172	−	0.00793631i
$671$	3.58807	+	2.30591i	0.138516	+	0.0890187i
$672$	6.45830	+	0.928563i	0.249134	+	0.0358201i
$673$	21.1368	+	32.8895i	0.814764	+	1.26780i	0.960446	+	0.278467i	$0.0898261\pi$
$673$	21.1368	+	32.8895i	0.814764	+	1.26780i	−0.145682	+	0.989332i	$0.546538\pi$
$674$	2.90622	+	6.36374i	0.111944	+	0.245122i
$675$	−13.9706	−	24.0217i	−0.537728	−	0.924596i
$676$	0.906660	+	6.30596i	0.0348715	+	0.242537i
$677$	30.5911	+	13.9705i	1.17571	+	0.536929i	0.904867	−	0.425695i	$-0.139970\pi$
$677$	30.5911	+	13.9705i	1.17571	+	0.536929i	0.270843	+	0.962624i	$0.412698\pi$
$678$	3.17156	+	10.8013i	0.121803	+	0.414823i
$679$	−27.1534	+	7.97295i	−1.04205	+	0.305974i
$680$	−13.8414	+	3.73230i	−0.530795	+	0.143127i
$681$	−0.442378	−	3.07680i	−0.0169519	−	0.117903i
$682$	0.101948	−	0.0883382i	0.00390378	−	0.00338265i
$683$	16.8684	−	7.70352i	0.645450	−	0.294767i	−0.0656664	−	0.997842i	$-0.520917\pi$
$683$	16.8684	−	7.70352i	0.645450	−	0.294767i	0.711116	+	0.703075i	$0.248190\pi$
$684$	−7.14295	+	4.59049i	−0.273117	+	0.175522i
$685$	−7.41024	−	12.1141i	−0.283131	−	0.462854i
$686$	−56.1706	−	36.0987i	−2.14461	−	1.37825i
$687$	−23.2056	−	20.1078i	−0.885350	−	0.767160i
$688$	0.809683	−	2.75753i	0.0308689	−	0.105130i
$689$	23.7011			0.902942
$690$	−4.25817	+	12.8066i	−0.162106	+	0.487540i
$691$	−20.4901			−0.779479			−0.389739	−	0.920925i	$-0.627435\pi$
$691$	−20.4901			−0.779479			−0.389739	+	0.920925i	$0.627435\pi$
$692$	−2.08713	+	7.10812i	−0.0793408	+	0.270210i
$693$	−12.6702	−	10.9788i	−0.481300	−	0.417049i
$694$	13.8861	+	8.92403i	0.527108	+	0.338752i
$695$	−7.92048	+	4.84501i	−0.300441	+	0.183782i
$696$	−1.56077	+	1.00305i	−0.0591609	+	0.0380204i
$697$	−69.4025	+	31.6950i	−2.62881	+	1.20054i
$698$	−14.4534	+	12.5240i	−0.547070	+	0.474039i
$699$	3.68735	+	25.6461i	0.139468	+	0.970024i
$700$	14.9695	−	21.1633i	0.565794	−	0.799897i
$701$	−17.1244	+	5.02818i	−0.646780	+	0.189912i	−0.588638	−	0.808397i	$-0.700336\pi$
$701$	−17.1244	+	5.02818i	−0.646780	+	0.189912i	−0.0581418	+	0.998308i	$0.518518\pi$
$702$	4.03151	+	13.7301i	0.152160	+	0.518208i
$703$	−15.5442	−	7.09882i	−0.586262	−	0.267737i
$704$	0.324966	+	2.26019i	0.0122476	+	0.0851840i
$705$	1.16345	−	6.98644i	0.0438182	−	0.263125i
$706$	−5.68425	−	12.4468i	−0.213929	−	0.468440i
$707$	2.70054	+	4.20211i	0.101564	+	0.158037i
$708$	13.7885	+	1.98249i	0.518204	+	0.0745065i
$709$	−29.6320	−	19.0433i	−1.11285	−	0.715188i	−0.150940	−	0.988543i	$-0.548230\pi$
$709$	−29.6320	−	19.0433i	−1.11285	−	0.715188i	−0.961913	+	0.273355i	$0.911867\pi$
$710$	0.129780	−	5.84072i	0.00487056	−	0.219198i
$711$	8.25996	+	2.42534i	0.309773	+	0.0909575i
$712$		−	1.92472i		−	0.0721320i
$713$	−0.211654	−	0.188341i	−0.00792651	−	0.00705343i
$714$	41.8310			1.56549
$715$	12.0766	−	5.19417i	0.451641	−	0.194251i
$716$	−2.40467	+	2.77514i	−0.0898669	+	0.103712i
$717$	2.11542	−	3.29166i	0.0790018	−	0.122929i
$718$	21.5187	+	3.09393i	0.803072	+	0.115464i
$719$	4.54145	−	2.91862i	0.169368	−	0.108846i	−0.453211	−	0.891403i	$-0.649722\pi$
$719$	4.54145	−	2.91862i	0.169368	−	0.108846i	0.622578	+	0.782557i	$0.286085\pi$
$720$	−1.37913	+	2.85053i	−0.0513970	+	0.106233i
$721$	14.5339	+	16.7730i	0.541270	+	0.624659i
$722$	−16.7757	+	2.41199i	−0.624328	+	0.0897648i
$723$	11.7764	+	5.37811i	0.437970	+	0.200014i
$724$	−4.90779	+	1.44106i	−0.182397	+	0.0535565i
$725$	0.723897	+	7.33537i	0.0268849	+	0.272429i
$726$	3.02491	−	6.62364i	0.112265	−	0.245826i
$727$	35.4857	−	5.10207i	1.31609	−	0.189225i	0.551734	−	0.834020i	$-0.313966\pi$
$727$	35.4857	−	5.10207i	1.31609	−	0.189225i	0.764356	+	0.644795i	$0.223057\pi$
$728$	−10.0882	+	8.74148i	−0.373894	+	0.323981i
$729$	−10.3323	−	22.6246i	−0.382679	−	0.837949i
$730$	−15.0556	−	4.78648i	−0.557232	−	0.177156i
$731$	2.62220	−	18.2378i	0.0969854	−	0.674549i
$732$	−1.27090	+	1.97756i	−0.0469738	+	0.0730926i
$733$	−19.4711	−	16.8718i	−0.719181	−	0.623174i	0.216392	−	0.976307i	$-0.430571\pi$
$733$	−19.4711	−	16.8718i	−0.719181	−	0.623174i	−0.935573	+	0.353133i	$0.885116\pi$
$734$	1.18175	+	0.346993i	0.0436192	+	0.0128077i
$735$	−43.0809	+	35.6855i	−1.58906	+	1.31628i
$736$	4.61898	−	1.29037i	0.170258	−	0.0475636i
$737$			9.44331i			0.347849i
$738$	−4.74811	+	16.1706i	−0.174780	+	0.595247i
$739$	13.0349	−	15.0431i	0.479497	−	0.553369i	−0.463532	−	0.886080i	$-0.653418\pi$
$739$	13.0349	−	15.0431i	0.479497	−	0.553369i	0.943029	+	0.332711i	$0.107963\pi$
$740$	−6.32681	+	0.766628i	−0.232578	+	0.0281818i
$741$	−2.76487	+	19.2301i	−0.101570	+	0.706436i
$742$	−25.8020	−	40.1487i	−0.947220	−	1.47390i
$743$	26.9014	−	12.2855i	0.986916	−	0.450710i	0.144481	−	0.989508i	$-0.453849\pi$
$743$	26.9014	−	12.2855i	0.986916	−	0.450710i	0.842435	+	0.538798i	$0.181121\pi$
$744$	0.0486875	+	0.0561883i	0.00178497	+	0.00205996i
$745$	10.6075	−	11.7059i	0.388630	−	0.428870i
$746$	0.576401	−	1.26214i	0.0211035	−	0.0462103i
$747$	−0.243366	−	0.828829i	−0.00890431	−	0.0303253i
$748$	4.12441	+	14.0464i	0.150803	+	0.513589i
$749$	31.6388	−	69.2793i	1.15606	−	2.53141i
$750$	−8.48559	−	11.2239i	−0.309850	−	0.409838i
$751$	−18.5605	−	21.4199i	−0.677281	−	0.781624i	0.308216	−	0.951316i	$-0.400268\pi$
$751$	−18.5605	−	21.4199i	−0.677281	−	0.781624i	−0.985497	+	0.169693i	$0.945723\pi$
$752$	−2.28940	+	1.04553i	−0.0834857	+	0.0381266i
$753$	−9.06443	−	14.1045i	−0.330326	−	0.513997i
$754$	0.540179	−	3.75703i	0.0196722	−	0.136823i
$755$	4.50838	+	37.2067i	0.164077	+	1.35409i
$756$	18.8693	−	21.7763i	0.686268	−	0.791996i
$757$	8.44639	−	28.7658i	0.306989	−	1.04551i	−0.651088	−	0.759002i	$-0.725687\pi$
$757$	8.44639	−	28.7658i	0.306989	−	1.04551i	0.958078	−	0.286508i	$-0.0924945\pi$
$758$		−	21.1752i		−	0.769116i
$759$	13.1713	+	4.05677i	0.478086	+	0.147251i
$760$	−10.3247	+	8.55231i	−0.374516	+	0.310225i
$761$	45.2253	+	13.2794i	1.63942	+	0.481376i	0.966141	−	0.258015i	$-0.0830683\pi$
$761$	45.2253	+	13.2794i	1.63942	+	0.481376i	0.673276	+	0.739391i	$0.264886\pi$
$762$	−13.5591	−	11.7490i	−0.491194	−	0.425622i
$763$	−35.1874	+	54.7527i	−1.27387	+	1.98218i
$764$	2.26616	−	15.7615i	0.0819867	−	0.570230i
$765$	−6.15098	+	19.3475i	−0.222389	+	0.699511i
$766$	1.36847	+	2.99654i	0.0494450	+	0.108269i
$767$	−21.5384	+	18.6631i	−0.777705	+	0.673886i
$768$	−1.24570	+	0.179104i	−0.0449503	+	0.00646287i
$769$	−18.7135	+	40.9769i	−0.674828	+	1.47767i	0.193204	+	0.981159i	$0.438112\pi$
$769$	−18.7135	+	40.9769i	−0.674828	+	1.47767i	−0.868032	+	0.496508i	$0.834615\pi$
$770$	−21.9458	−	14.8027i	−0.790871	−	0.533453i
$771$	−4.97861	+	1.46185i	−0.179300	+	0.0526473i
$772$	−14.9182	−	6.81293i	−0.536919	−	0.245203i
$773$	52.7989	−	7.59134i	1.89904	−	0.273041i	0.909327	−	0.416081i	$-0.136597\pi$
$773$	52.7989	−	7.59134i	1.89904	−	0.273041i	0.989717	+	0.143040i	$0.0456877\pi$
$774$	−2.66525	−	3.07587i	−0.0958006	−	0.110560i
$775$	0.286832	−	0.0705475i	0.0103033	−	0.00253414i
$776$	4.59202	−	2.95111i	0.164844	−	0.105939i
$777$	18.4070	+	2.64653i	0.660348	+	0.0949437i
$778$	10.7996	−	16.8045i	0.387185	−	0.602472i
$779$	−46.7261	+	53.9248i	−1.67414	+	1.93206i
$780$	2.86276	+	6.65602i	0.102503	+	0.238324i
$781$	−5.96590			−0.213477
$782$	28.1343	−	12.4029i	1.00608	−	0.443528i
$783$			8.19327i			0.292804i
$784$	19.0736	+	5.60052i	0.681201	+	0.200019i
$785$	0.347451	−	15.6370i	0.0124011	−	0.558107i
$786$	7.21905	+	4.63940i	0.257495	+	0.165482i
$787$	−39.6574	−	5.70187i	−1.41363	−	0.203250i	−0.607188	−	0.794558i	$-0.707702\pi$
$787$	−39.6574	−	5.70187i	−1.41363	−	0.203250i	−0.806445	+	0.591309i	$0.798612\pi$
$788$	−4.92235	−	7.65933i	−0.175352	−	0.272852i
$789$	5.10954	+	11.1883i	0.181905	+	0.398315i
$790$	13.4082	+	2.23287i	0.477041	+	0.0794418i
$791$	6.59988	+	45.9032i	0.234665	+	1.63213i
$792$	2.94147	+	1.34333i	0.104521	+	0.0477330i
$793$	−1.35492	−	4.61443i	−0.0481146	−	0.163863i
$794$	−9.59930	+	2.81861i	−0.340666	+	0.100029i
$795$	−25.0114	+	6.74427i	−0.887064	+	0.239195i
$796$	−3.37524	−	23.4753i	−0.119632	−	0.832059i
$797$	32.0726	−	27.7911i	1.13607	−	0.984410i	0.136090	−	0.990696i	$-0.456546\pi$
$797$	32.0726	−	27.7911i	1.13607	−	0.984410i	0.999980	+	0.00628612i	$0.00200095\pi$
$798$	35.5849	−	16.2511i	1.25969	−	0.575282i
$799$	−13.5744	+	8.72371i	−0.480226	+	0.308623i
$800$	−1.62037	+	4.73016i	−0.0572886	+	0.167236i
$801$	−2.29301	−	1.47363i	−0.0810196	−	0.0520681i
$802$	7.37796	+	6.39304i	0.260525	+	0.225746i
$803$	−4.54512	+	15.4793i	−0.160394	+	0.546251i
$804$	−5.20466			−0.183554
$805$	−24.8714	+	49.7241i	−0.876600	+	1.75254i
$806$	−0.152105			−0.00535766
$807$	−8.30450	+	28.2825i	−0.292332	+	0.995592i
$808$	−0.728138	−	0.630935i	−0.0256158	−	0.0221962i
$809$	−1.73294	−	1.11369i	−0.0609269	−	0.0391554i	0.509823	−	0.860279i	$-0.329711\pi$
$809$	−1.73294	−	1.11369i	−0.0609269	−	0.0391554i	−0.570750	+	0.821124i	$0.693347\pi$
$810$	−3.20413	−	5.23802i	−0.112582	−	0.184045i
$811$	−27.4790	+	17.6597i	−0.964917	+	0.620115i	−0.925355	−	0.379102i	$-0.876233\pi$
$811$	−27.4790	+	17.6597i	−0.964917	+	0.620115i	−0.0395627	+	0.999217i	$0.512596\pi$
$812$	−6.95229	+	3.17500i	−0.243978	+	0.111421i
$813$	2.64788	−	2.29440i	0.0928652	−	0.0804682i
$814$	0.926196	+	6.44183i	0.0324631	+	0.225786i
$815$	−9.05722	−	33.5891i	−0.317260	−	1.17658i
$816$	−7.74167	+	2.27316i	−0.271013	+	0.0795765i
$817$	−4.85460	−	16.5333i	−0.169841	−	0.578426i
$818$	−20.3176	−	9.27874i	−0.710388	−	0.324423i
$819$	2.69028	+	18.7113i	0.0940060	+	0.653826i
$820$	−4.37130	+	26.2493i	−0.152652	+	0.916664i
$821$	−11.9315	−	26.1263i	−0.416411	−	0.911813i	−0.995339	−	0.0964348i	$-0.969256\pi$
$821$	−11.9315	−	26.1263i	−0.416411	−	0.911813i	0.578928	−	0.815379i	$-0.303471\pi$
$822$	−4.32108	−	6.72373i	−0.150715	−	0.234517i
$823$	1.01971	+	0.146613i	0.0355450	+	0.00511060i	0.160064	−	0.987107i	$-0.448830\pi$
$823$	1.01971	+	0.146613i	0.0355450	+	0.00511060i	−0.124519	+	0.992217i	$0.539739\pi$
$824$	−3.60126	−	2.31439i	−0.125456	−	0.0806255i
$825$	−11.2663	+	8.91779i	−0.392241	+	0.310478i
$826$	55.0619	+	16.1676i	1.91585	+	0.562544i
$827$		−	19.5261i		−	0.678991i	−0.940608	−	0.339495i	$-0.889744\pi$
$827$		−	19.5261i		−	0.678991i	0.940608	−	0.339495i	$-0.110256\pi$
$828$	1.99916	−	6.49076i	0.0694758	−	0.225569i
$829$	21.7674			0.756014			0.378007	−	0.925803i	$-0.376610\pi$
$829$	21.7674			0.756014			0.378007	+	0.925803i	$0.376610\pi$
$830$	−0.538902	−	1.25297i	−0.0187056	−	0.0434912i
$831$	−4.24007	+	4.89330i	−0.147086	+	0.169747i
$832$	1.39200	−	2.16599i	0.0482589	−	0.0750924i
$833$	126.149	+	18.1375i	4.37082	+	0.628429i
$834$	−4.39615	+	2.82523i	−0.152226	+	0.0978298i
$835$	1.93929	+	0.938255i	0.0671118	+	0.0324696i
$836$	8.96552	+	10.3468i	0.310079	+	0.357850i
$837$	0.324990	−	0.0467265i	0.0112333	−	0.00161510i
$838$	13.7801	+	6.29316i	0.476026	+	0.217394i
$839$	13.5982	−	3.99280i	0.469463	−	0.137847i	−0.0384404	−	0.999261i	$-0.512239\pi$
$839$	13.5982	−	3.99280i	0.469463	−	0.137847i	0.507903	+	0.861414i	$0.330421\pi$
$840$	8.15849	−	12.0954i	0.281495	−	0.417330i
$841$	−11.1442	+	24.4025i	−0.384284	+	0.841464i
$842$	−14.1917	+	2.04046i	−0.489078	+	0.0703187i
$843$	22.4192	−	19.4263i	0.772158	−	0.669079i
$844$	−1.09011	−	2.38702i	−0.0375233	−	0.0821646i
$845$	13.5760	+	4.31608i	0.467028	+	0.148478i
$846$	−0.507244	+	3.52796i	−0.0174394	+	0.121294i
$847$	16.2177	−	25.2352i	0.557246	−	0.867092i
$848$	6.95692	+	6.02820i	0.238901	+	0.207009i
$849$	28.7993	+	8.45625i	0.988391	+	0.290218i
$850$	−5.96688	+	31.4956i	−0.204662	+	1.08029i
$851$	13.1647	−	3.67772i	0.451280	−	0.126071i
$852$		−	3.28810i		−	0.112648i
$853$	−1.06004	+	3.61017i	−0.0362952	+	0.123610i	−0.975648	−	0.219342i	$-0.929609\pi$
$853$	−1.06004	+	3.61017i	−0.0362952	+	0.123610i	0.939353	+	0.342952i	$0.111427\pi$
$854$	−6.34162	+	7.31862i	−0.217006	+	0.250438i
$855$	2.28386	+	18.8482i	0.0781065	+	0.644596i
$856$	−2.09066	+	14.5408i	−0.0714572	+	0.496996i
$857$	2.89741	+	4.50846i	0.0989737	+	0.154006i	0.887209	−	0.461368i	$-0.152641\pi$
$857$	2.89741	+	4.50846i	0.0989737	+	0.154006i	−0.788235	+	0.615374i	$0.789005\pi$
$858$	6.73038	−	3.07366i	0.229771	−	0.104933i
$859$	14.4002	+	16.6188i	0.491330	+	0.567025i	0.946221	−	0.323522i	$-0.104867\pi$
$859$	14.4002	+	16.6188i	0.491330	+	0.567025i	−0.454891	+	0.890547i	$0.650322\pi$
$860$	−4.76201	−	4.31520i	−0.162383	−	0.147147i
$861$	32.2564	−	70.6316i	1.09929	−	2.40712i
$862$	5.69149	+	19.3834i	0.193853	+	0.660202i
$863$	−8.14519	−	27.7400i	−0.277265	−	0.944279i	−0.973924	−	0.226876i	$-0.927149\pi$
$863$	−8.14519	−	27.7400i	−0.277265	−	0.944279i	0.696658	−	0.717403i	$-0.254669\pi$
$864$	−2.30878	+	5.05553i	−0.0785463	+	0.171992i
$865$	12.2751	+	11.1234i	0.417366	+	0.378205i
$866$	9.71421	+	11.2108i	0.330102	+	0.380959i
$867$	−27.5927	+	12.6012i	−0.937096	+	0.427958i
$868$	0.165587	+	0.257659i	0.00562039	+	0.00874550i
$869$	1.97543	−	13.7394i	0.0670120	−	0.466078i
$870$	0.499037	+	4.11844i	0.0169189	+	0.139628i
$871$	6.97294	−	8.04721i	0.236269	−	0.272669i
$872$	3.53680	−	12.0452i	0.119771	−	0.407903i
$873$		−	7.73016i		−	0.261626i
$874$	19.1149	−	21.4809i	0.646570	−	0.726604i
$875$	−28.0207	−	50.7415i	−0.947273	−	1.71537i
$876$	−8.53136	−	2.50503i	−0.288248	−	0.0846372i
$877$	−9.10192	−	7.88686i	−0.307350	−	0.266320i	0.487504	−	0.873121i	$-0.337907\pi$
$877$	−9.10192	−	7.88686i	−0.307350	−	0.266320i	−0.794854	+	0.606800i	$0.792453\pi$
$878$	−13.4304	+	20.8982i	−0.453256	+	0.705279i
$879$	0.189063	−	1.31496i	0.00637694	−	0.0443526i
$880$	4.86591	+	1.54697i	0.164030	+	0.0521485i
$881$	−3.62750	−	7.94312i	−0.122214	−	0.267610i	0.838630	−	0.544701i	$-0.183357\pi$
$881$	−3.62750	−	7.94312i	−0.122214	−	0.267610i	−0.960844	+	0.277091i	$0.910630\pi$
$882$	21.2756	−	18.4354i	0.716385	−	0.620751i
$883$	−20.3838	+	2.93074i	−0.685969	+	0.0986274i	−0.476482	−	0.879184i	$-0.658088\pi$
$883$	−20.3838	+	2.93074i	−0.685969	+	0.0986274i	−0.209486	+	0.977812i	$0.567179\pi$
$884$	6.85725	−	15.0153i	0.230634	−	0.505018i
$885$	17.4184	−	25.8237i	0.585514	−	0.868055i
$886$	−1.52149	+	0.446749i	−0.0511154	+	0.0150088i
$887$	42.1756	+	19.2609i	1.41612	+	0.646719i	0.968842	−	0.247678i	$-0.0796676\pi$
$887$	42.1756	+	19.2609i	1.41612	+	0.646719i	0.447274	+	0.894397i	$0.352395\pi$
$888$	−3.55040	+	0.510471i	−0.119144	+	0.0171303i
$889$	−48.4006	−	55.8573i	−1.62330	−	1.87339i
$890$	−3.87420	−	1.87439i	−0.129863	−	0.0628298i
$891$	−5.27496	+	3.39001i	−0.176718	+	0.113570i
$892$	−14.2504	−	2.04889i	−0.477138	−	0.0686020i
$893$	−8.15836	+	12.6947i	−0.273009	+	0.424810i
$894$	5.82232	−	6.71931i	0.194727	−	0.224727i
$895$	3.24418	+	7.54285i	0.108441	+	0.252130i
$896$	−5.18448			−0.173201
$897$	−8.22849	−	13.1827i	−0.274741	−	0.440157i
$898$			29.7842i			0.993913i
$899$	−0.0835624	−	0.0245361i	−0.00278696	−	0.000818326i
$900$	4.39466	+	5.55198i	0.146489	+	0.185066i
$901$	49.6481	+	31.9069i	1.65402	+	1.06297i
$902$	26.8978	+	3.86732i	0.895598	+	0.128768i
$903$	10.1379	+	15.7749i	0.337368	+	0.524955i
$904$	−3.71589	−	8.13666i	−0.123589	−	0.270621i
$905$	−1.87881	+	11.2821i	−0.0624537	+	0.375029i
$906$	3.00197	+	20.8792i	0.0997339	+	0.693665i
$907$	−8.43157	−	3.85057i	−0.279966	−	0.127856i	0.270484	−	0.962725i	$-0.412816\pi$
$907$	−8.43157	−	3.85057i	−0.279966	−	0.127856i	−0.550449	+	0.834869i	$0.685544\pi$
$908$	0.695863	+	2.36989i	0.0230930	+	0.0786477i
$909$	−1.30915	+	0.384401i	−0.0434217	+	0.0127498i
$910$	7.77098	+	28.8191i	0.257606	+	0.955342i
$911$	1.46909	+	10.2178i	0.0486732	+	0.338530i	0.999578	+	0.0290463i	$0.00924701\pi$
$911$	1.46909	+	10.2178i	0.0486732	+	0.338530i	−0.950905	+	0.309483i	$0.899844\pi$
$912$	−5.70260	+	4.94133i	−0.188832	+	0.163624i
$913$	−1.26697	+	0.578604i	−0.0419305	+	0.0191490i
$914$	−26.7547	+	17.1942i	−0.884966	+	0.568733i
$915$	2.74288	+	4.48399i	0.0906769	+	0.148236i
$916$	20.5252	+	13.1907i	0.678170	+	0.435833i
$917$	26.7165	+	23.1500i	0.882258	+	0.764481i
$918$	−10.0386	+	34.1884i	−0.331324	+	1.12839i
$919$	58.2624			1.92190			0.960949	−	0.276726i	$-0.0892493\pi$
$919$	58.2624			1.92190			0.960949	+	0.276726i	$0.0892493\pi$
$920$	1.90086	−	10.5540i	0.0626696	−	0.347955i
$921$	−25.6610			−0.845560
$922$	1.19510	−	4.07015i	0.0393586	−	0.134043i
$923$	5.08390	+	4.40522i	0.167339	+	0.145000i
$924$	−12.5336	−	8.05485i	−0.412325	−	0.264985i
$925$	−4.61826	+	13.4816i	−0.151847	+	0.443272i
$926$	−17.2432	+	11.0816i	−0.566648	+	0.364163i
$927$	−5.51448	+	2.51838i	−0.181119	+	0.0827144i
$928$	1.11413	−	0.965397i	0.0365730	−	0.0316907i
$929$	2.59087	+	18.0199i	0.0850038	+	0.591215i	0.987151	+	0.159787i	$0.0510808\pi$
$929$	2.59087	+	18.0199i	0.0850038	+	0.591215i	−0.902148	+	0.431427i	$0.858010\pi$
$930$	0.160514	−	0.0432821i	0.00526345	−	0.00141928i
$931$	114.359	−	33.5790i	3.74798	−	1.10051i
$932$	−5.80023	−	19.7538i	−0.189993	−	0.647057i
$933$	21.7030	+	9.91143i	0.710524	+	0.324486i
$934$	4.51540	+	31.4053i	0.147748	+	1.02761i
$935$	32.2901	+	5.37728i	1.05600	+	0.175856i
$936$	−1.51469	−	3.31671i	−0.0495093	−	0.108410i
$937$	−4.10351	−	6.38518i	−0.134056	−	0.208595i	0.767735	−	0.640767i	$-0.221384\pi$
$937$	−4.10351	−	6.38518i	−0.134056	−	0.208595i	−0.901791	+	0.432172i	$0.857747\pi$
$938$	−21.2226	−	3.05135i	−0.692943	−	0.0996302i
$939$	−20.1150	−	12.9271i	−0.656428	−	0.421861i
$940$	−0.125019	+	5.62643i	−0.00407766	+	0.183514i
$941$	−39.3761	−	11.5619i	−1.28362	−	0.376906i	−0.432387	−	0.901688i	$-0.642329\pi$
$941$	−39.3761	−	11.5619i	−1.28362	−	0.376906i	−0.851237	+	0.524782i	$0.824147\pi$
$942$		−	8.80300i		−	0.286817i
$943$	0.752338	−	57.0687i	0.0244995	−	1.85841i
$944$	−11.0689			−0.360262
$945$	−25.4568	−	59.1881i	−0.828110	−	1.92539i
$946$	−4.29749	+	4.95956i	−0.139723	+	0.161249i
$947$	−1.43337	+	2.23037i	−0.0465783	+	0.0724773i	−0.863762	−	0.503900i	$-0.831898\pi$
$947$	−1.43337	+	2.23037i	−0.0465783	+	0.0724773i	0.817183	+	0.576378i	$0.195534\pi$
$948$	7.57247	+	1.08876i	0.245942	+	0.0353612i
$949$	15.3031	−	9.83467i	0.496758	−	0.319247i
$950$	7.15992	+	29.1108i	0.232299	+	0.944481i
$951$	−5.20493	−	6.00681i	−0.168782	−	0.194784i
$952$	−32.9003	+	4.73034i	−1.06630	+	0.153311i
$953$	−32.5289	−	14.8555i	−1.05372	−	0.481216i	−0.188217	−	0.982127i	$-0.560271\pi$
$953$	−32.5289	−	14.8555i	−1.05372	−	0.481216i	−0.865498	+	0.500912i	$0.832998\pi$
$954$	12.5081	−	3.67272i	0.404966	−	0.118909i
$955$	−29.5188	−	19.9108i	−0.955205	−	0.644298i
$956$	−1.29156	+	2.82812i	−0.0417719	+	0.0914678i
$957$	4.19331	−	0.602907i	0.135551	−	0.0194892i
$958$	10.5969	−	9.18229i	0.342371	−	0.296666i
$959$	−13.6777	−	29.9501i	−0.441678	−	0.967139i
$960$	−0.852612	+	2.68184i	−0.0275179	+	0.0865560i
$961$	4.41126	−	30.6810i	0.142299	−	0.989710i
$962$	3.96739	−	6.17337i	0.127914	−	0.199038i
$963$	15.7225	+	13.6236i	0.506651	+	0.439016i
$964$	−9.87037	−	2.89820i	−0.317903	−	0.0933448i
$965$	−28.2416	+	23.3936i	−0.909130	+	0.753065i
$966$	−13.3730	+	28.2899i	−0.430269	+	0.910211i
$967$		−	55.4659i		−	1.78366i	−0.452367	−	0.891832i	$-0.649420\pi$
$967$		−	55.4659i		−	1.78366i	0.452367	−	0.891832i	$-0.350580\pi$
$968$	−1.63009	+	5.55158i	−0.0523931	+	0.178435i
$969$	−31.6797	+	36.5603i	−1.01770	+	1.17449i
$970$	−1.46824	−	12.1170i	−0.0471423	−	0.389055i
$971$	8.67242	−	60.3180i	0.278311	−	1.93570i	−0.0682477	−	0.997668i	$-0.521741\pi$
$971$	8.67242	−	60.3180i	0.278311	−	1.93570i	0.346559	−	0.938028i	$-0.387350\pi$
$972$	7.14587	+	11.1192i	0.229204	+	0.356648i
$973$	−19.5821	+	8.94287i	−0.627775	+	0.286695i
$974$	12.2005	+	14.0801i	0.390928	+	0.451155i
$975$	16.1856	+	0.719637i	0.518353	+	0.0230468i
$976$	0.775940	−	1.69907i	0.0248372	−	0.0543860i
$977$	13.8286	+	47.0958i	0.442416	+	1.50673i	0.815403	+	0.578893i	$0.196515\pi$
$977$	13.8286	+	47.0958i	0.442416	+	1.50673i	−0.372988	+	0.927836i	$0.621667\pi$
$978$	−5.51630	−	18.7868i	−0.176392	−	0.600735i
$979$	−1.82573	+	3.99780i	−0.0583507	+	0.127770i
$980$	29.8479	−	32.9385i	0.953457	−	1.05218i
$981$	−11.6422	−	13.4358i	−0.371706	−	0.428971i
$982$	−6.73576	+	3.07612i	−0.214947	+	0.0981628i
$983$	−8.12284	−	12.6394i	−0.259079	−	0.403134i	0.687209	−	0.726459i	$-0.258836\pi$
$983$	−8.12284	−	12.6394i	−0.259079	−	0.403134i	−0.946288	+	0.323325i	$0.895199\pi$
$984$	−2.13147	+	14.8247i	−0.0679486	+	0.472593i
$985$	−20.2108	+	2.44897i	−0.643970	+	0.0780307i
$986$	6.18932	−	7.14285i	0.197108	−	0.227475i
$987$	4.62651	−	15.7564i	0.147263	−	0.501533i
$988$		−	15.4372i		−	0.491124i
$989$	11.4957	+	7.60382i	0.365542	+	0.241787i
$990$	5.56849	−	4.61258i	0.176978	−	0.146597i
$991$	−57.2922	−	16.8225i	−1.81995	−	0.534385i	−0.820635	−	0.571453i	$-0.806380\pi$
$991$	−57.2922	−	16.8225i	−1.81995	−	0.534385i	−0.999313	+	0.0370686i	$0.988198\pi$
$992$	−0.0446468	−	0.0386867i	−0.00141754	−	0.00122830i
$993$	14.8269	−	23.0711i	0.470517	−	0.732139i
$994$	1.92772	−	13.4076i	0.0611436	−	0.425263i
$995$	−50.5395	−	16.0675i	−1.60221	−	0.509375i
$996$	−0.318897	−	0.698286i	−0.0101046	−	0.0221260i
$997$	34.0843	−	29.5342i	1.07946	−	0.935359i	0.0813439	−	0.996686i	$-0.474079\pi$
$997$	34.0843	−	29.5342i	1.07946	−	0.935359i	0.998118	+	0.0613272i	$0.0195333\pi$
$998$	−11.2574	+	1.61857i	−0.356347	+	0.0512350i
$999$	−6.58033	+	14.4089i	−0.208192	+	0.455878i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.179.4	yes	120
5.4	even	2	inner	230.2.j.a.179.9	yes	120
23.9	even	11	inner	230.2.j.a.9.9	yes	120
115.9	even	22	inner	230.2.j.a.9.4	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.9.4	✓	120	115.9	even	22	inner
230.2.j.a.9.9	yes	120	23.9	even	11	inner
230.2.j.a.179.4	yes	120	1.1	even	1	trivial
230.2.j.a.179.9	yes	120	5.4	even	2	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.281733 + 0.959493i) q^{2} +(0.951117 + 0.824147i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-1.90749 + 1.16682i) q^{5} +(-1.05872 + 0.680401i) q^{6} +(-4.71597 + 2.15371i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-0.201540 - 1.40174i) q^{9} +O(q^{10})\)	\(q+(-0.281733 + 0.959493i) q^{2} +(0.951117 + 0.824147i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-1.90749 + 1.16682i) q^{5} +(-1.05872 + 0.680401i) q^{6} +(-4.71597 + 2.15371i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-0.201540 - 1.40174i) q^{9} +(-0.582157 - 2.15896i) q^{10} +(-2.19093 + 0.643316i) q^{11} +(-0.354563 - 1.20753i) q^{12} +(2.34205 + 1.06958i) q^{13} +(-0.737829 - 5.13171i) q^{14} +(-2.77588 - 0.462268i) q^{15} +(0.415415 + 0.909632i) q^{16} +(3.46614 + 5.39342i) q^{17} +(1.40174 + 0.201540i) q^{18} +(5.04389 + 3.24151i) q^{19} +(2.23552 + 0.0496729i) q^{20} +(-6.26041 - 1.83822i) q^{21} -2.28343i q^{22} +(-4.75560 + 0.619884i) q^{23} +1.25851 q^{24} +(2.27704 - 4.45141i) q^{25} +(-1.68609 + 1.94585i) q^{26} +(3.00476 - 4.67549i) q^{27} +(5.13171 + 0.737829i) q^{28} +(-1.24018 + 0.797013i) q^{29} +(1.22560 - 2.53320i) q^{30} +(0.0386867 + 0.0446468i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-2.61402 - 1.19378i) q^{33} +(-6.15147 + 1.80623i) q^{34} +(6.48267 - 9.61089i) q^{35} +(-0.588293 + 1.28818i) q^{36} +(-2.82112 + 0.405616i) q^{37} +(-4.53124 + 3.92634i) q^{38} +(1.34607 + 2.94749i) q^{39} +(-0.677478 + 2.13097i) q^{40} +(-1.69364 + 11.7796i) q^{41} +(3.52753 - 5.48894i) q^{42} +(-2.17198 - 1.88203i) q^{43} +(2.19093 + 0.643316i) q^{44} +(2.02002 + 2.43865i) q^{45} +(0.745033 - 4.73761i) q^{46} +2.51684i q^{47} +(-0.354563 + 1.20753i) q^{48} +(13.0179 - 15.0234i) q^{49} +(3.62958 + 3.43892i) q^{50} +(-1.14827 + 7.98638i) q^{51} +(-1.39200 - 2.16599i) q^{52} +(8.37345 - 3.82403i) q^{53} +(3.63957 + 4.20028i) q^{54} +(3.42855 - 3.78355i) q^{55} +(-2.15371 + 4.71597i) q^{56} +(2.12585 + 7.23997i) q^{57} +(-0.415331 - 1.41449i) q^{58} +(-4.59819 + 10.0686i) q^{59} +(2.08530 + 1.88964i) q^{60} +(-1.22319 - 1.41164i) q^{61} +(-0.0537376 + 0.0245411i) q^{62} +(3.96941 + 6.17652i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-5.71545 + 0.692549i) q^{65} +(1.88188 - 2.17181i) q^{66} +(1.16513 - 3.96806i) q^{67} -6.41117i q^{68} +(-5.03401 - 3.32973i) q^{69} +(7.39520 + 8.92778i) q^{70} +(2.50686 + 0.736081i) q^{71} +(-1.07026 - 0.927386i) q^{72} +(3.81970 - 5.94357i) q^{73} +(0.405616 - 2.82112i) q^{74} +(5.83436 - 2.35719i) q^{75} +(-2.49070 - 5.45387i) q^{76} +(8.94686 - 7.75250i) q^{77} +(-3.20733 + 0.461144i) q^{78} +(-2.52526 + 5.52956i) q^{79} +(-1.85378 - 1.25040i) q^{80} +(2.63479 - 0.773644i) q^{81} +(-10.8252 - 4.94373i) q^{82} +(0.603766 - 0.0868084i) q^{83} +(4.27278 + 4.93105i) q^{84} +(-12.9048 - 6.24352i) q^{85} +(2.41771 - 1.55377i) q^{86} +(-1.83641 - 0.264036i) q^{87} +(-1.23452 + 1.92094i) q^{88} +(1.26042 - 1.45461i) q^{89} +(-2.90897 + 1.25115i) q^{90} -13.3486 q^{91} +(4.33580 + 2.04959i) q^{92} +0.0743478i q^{93} +(-2.41489 - 0.709075i) q^{94} +(-13.4035 - 0.297823i) q^{95} +(-1.05872 - 0.680401i) q^{96} +(5.40298 + 0.776832i) q^{97} +(10.7473 + 16.7232i) q^{98} +(1.34333 + 2.94147i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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