LMFDB - Embedded newform 230.2.j.a.9.4

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			9.4
Character	$\chi$	$=$	230.9
Dual form			230.2.j.a.179.4

$q$-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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{5}{11}\right)$

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	−0.335552	−	0.942022i	$-0.608923\pi$
$3$	0.951117	−	0.824147i	0.549128	−	0.475822i	0.884679	+	0.466200i	$0.154377\pi$
$4$	−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	−0.974360	−	0.224994i	$-0.927764\pi$
$7$	−4.71597	−	2.15371i	−1.78247	−	0.814026i	−0.808109	−	0.589033i	$-0.799509\pi$
$8$	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	−0.0657822	−	0.997834i	$-0.520954\pi$
$11$	−2.19093	−	0.643316i	−0.660592	−	0.193967i	−0.594809	+	0.803867i	$0.702772\pi$
$12$	−0.354563	+	1.20753i	−0.102353	+	0.348584i
$13$	2.34205	−	1.06958i	0.649568	−	0.296648i	−0.0632491	−	0.997998i	$-0.520146\pi$
$13$	2.34205	−	1.06958i	0.649568	−	0.296648i	0.712817	+	0.701350i	$0.247419\pi$
$14$	−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	−0.108752	−	0.994069i	$-0.534685\pi$
$17$	3.46614	−	5.39342i	0.840662	−	1.30810i	0.949414	−	0.314027i	$-0.101678\pi$
$18$	1.40174	−	0.201540i	0.330394	−	0.0475035i
$19$	5.04389	−	3.24151i	1.15715	−	0.743654i	0.186098	−	0.982531i	$-0.440416\pi$
$19$	5.04389	−	3.24151i	1.15715	−	0.743654i	0.971050	+	0.238877i	$0.0767794\pi$
$20$	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	0.420405	−	0.907337i	$-0.361888\pi$
$29$	−1.24018	−	0.797013i	−0.230295	−	0.148002i	−0.650700	+	0.759335i	$0.725524\pi$
$30$	1.22560	+	2.53320i	0.223763	+	0.462497i
$31$	0.0386867	−	0.0446468i	0.00694833	−	0.00801880i	−0.752265	−	0.658861i	$-0.771039\pi$
$31$	0.0386867	−	0.0446468i	0.00694833	−	0.00801880i	0.759213	+	0.650842i	$0.225584\pi$
$32$	−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	−0.0935407	−	0.995615i	$-0.529819\pi$
$37$	−2.82112	−	0.405616i	−0.463790	−	0.0666829i	−0.370249	+	0.928933i	$0.620728\pi$
$38$	−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	−0.497848	−	0.867264i	$-0.665876\pi$
$41$	−1.69364	−	11.7796i	−0.264503	−	1.83966i	0.233346	−	0.972394i	$-0.425033\pi$
$42$	3.52753	+	5.48894i	0.544309	+	0.846961i
$43$	−2.17198	+	1.88203i	−0.331224	+	0.287007i	−0.804556	−	0.593877i	$-0.797597\pi$
$43$	−2.17198	+	1.88203i	−0.331224	+	0.287007i	0.473332	+	0.880884i	$0.343051\pi$
$44$	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	$-0.941238\pi$
$47$		−	2.51684i		−	0.367118i	0.983009	−	0.183559i	$-0.0587619\pi$
$48$	−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	0.896949	−	0.442135i	$-0.145779\pi$
$53$	8.37345	+	3.82403i	1.15018	+	0.525271i	0.253233	+	0.967405i	$0.418506\pi$
$54$	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	−0.930083	−	0.367350i	$-0.880265\pi$
$59$	−4.59819	−	10.0686i	−0.598633	−	1.31082i	0.331450	−	0.943473i	$-0.392462\pi$
$60$	2.08530	−	1.88964i	0.269211	−	0.243951i
$61$	−1.22319	+	1.41164i	−0.156614	+	0.180742i	−0.828634	−	0.559791i	$-0.810881\pi$
$61$	−1.22319	+	1.41164i	−0.156614	+	0.180742i	0.672020	+	0.740533i	$0.265427\pi$
$62$	−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	0.999544	−	0.0302066i	$-0.00961653\pi$
$67$	1.16513	+	3.96806i	0.142343	+	0.484776i	−0.857201	+	0.514983i	$0.827798\pi$
$68$			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	−0.129571	−	0.991570i	$-0.541360\pi$
$71$	2.50686	−	0.736081i	0.297510	−	0.0873567i	0.427081	+	0.904213i	$0.359542\pi$
$72$	−1.07026	+	0.927386i	−0.126131	+	0.109294i
$73$	3.81970	+	5.94357i	0.447062	+	0.695642i	0.989513	−	0.144445i	$-0.0461398\pi$
$73$	3.81970	+	5.94357i	0.447062	+	0.695642i	−0.542451	+	0.840088i	$0.682503\pi$
$74$	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	0.712736	−	0.701433i	$-0.247456\pi$
$79$	−2.52526	−	5.52956i	−0.284114	−	0.622124i	−0.996850	+	0.0793090i	$0.974729\pi$
$80$	−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	0.175371	−	0.984502i	$-0.443887\pi$
$83$	0.603766	+	0.0868084i	0.0662719	+	0.00952846i	−0.109099	+	0.994031i	$0.534797\pi$
$84$	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	0.818609	−	0.574351i	$-0.194745\pi$
$89$	1.26042	+	1.45461i	0.133605	+	0.154188i	−0.685005	+	0.728539i	$0.740200\pi$
$90$	−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	0.137554	−	0.990494i	$-0.456076\pi$
$97$	5.40298	−	0.776832i	0.548590	−	0.0788753i	0.411036	+	0.911619i	$0.365167\pi$
$98$	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	−0.995505	−	0.0947050i	$-0.969809\pi$
$101$	−0.137115	+	0.953658i	−0.0136435	+	0.0948925i	0.981862	+	0.189597i	$0.0607183\pi$
$102$	−7.33937	+	3.35178i	−0.726706	+	0.331875i
$103$	−1.20605	+	4.10742i	−0.118835	+	0.404716i	−0.997329	−	0.0730377i	$-0.976731\pi$
$103$	−1.20605	+	4.10742i	−0.118835	+	0.404716i	0.878494	+	0.477754i	$0.158549\pi$
$104$	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	−0.0755495	−	0.997142i	$-0.524071\pi$
$107$	−11.1022	−	9.62014i	−1.07329	−	0.930014i	−0.997744	+	0.0671276i	$0.978617\pi$
$108$	−5.05553	−	2.30878i	−0.486468	−	0.222163i
$109$	10.5609	+	6.78706i	1.01155	+	0.650083i	0.937793	−	0.347194i	$-0.112865\pi$
$109$	10.5609	+	6.78706i	1.01155	+	0.650083i	0.0737550	+	0.997276i	$0.476502\pi$
$110$	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	0.988971	+	0.148112i	$0.0473195\pi$
$113$	2.52010	+	8.58266i	0.237071	+	0.807389i	−0.751900	+	0.659277i	$0.770862\pi$
$114$	−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	−0.564983	−	0.825103i	$-0.691117\pi$
$127$	4.01637	−	13.6785i	0.356395	−	1.21377i	0.921378	−	0.388668i	$-0.127065\pi$
$128$	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	−0.992081	−	0.125603i	$-0.959914\pi$
$131$	−2.83256	+	6.20244i	−0.247482	+	0.541910i	0.744599	+	0.667512i	$0.232641\pi$
$132$	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	$-0.912549\pi$
$137$		−	6.35078i		−	0.542584i	0.962497	−	0.271292i	$-0.0874509\pi$
$138$	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	−0.00797916	−	0.999968i	$-0.502540\pi$
$149$	−6.77849	−	1.99034i	−0.555315	−	0.163055i	−0.547336	+	0.836913i	$0.684358\pi$
$150$	0.617982	−	6.26212i	0.0504580	−	0.511300i
$151$	6.96279	+	15.2464i	0.566623	+	1.24073i	0.948576	+	0.316550i	$0.102525\pi$
$151$	6.96279	+	15.2464i	0.566623	+	1.24073i	−0.381952	+	0.924182i	$0.624748\pi$
$152$	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	0.656913	−	0.753966i	$-0.271862\pi$
$157$	−3.78167	−	5.88439i	−0.301810	−	0.469625i	−0.958723	+	0.284341i	$0.908225\pi$
$158$	−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	−0.932480	−	0.361222i	$-0.882360\pi$
$163$	−4.38321	−	14.9278i	−0.343319	−	1.16924i	0.589161	−	0.808016i	$-0.299458\pi$
$164$	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	−0.860822	−	0.508906i	$-0.830050\pi$
$167$	−0.520879	+	0.810504i	−0.0403068	+	0.0627187i	0.820515	+	0.571624i	$0.193687\pi$
$168$	−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	−1.00000		0.000119804i	$-0.999962\pi$
$173$	−2.08713	+	7.10812i	−0.158682	+	0.540420i	0.841318	+	0.540540i	$0.181780\pi$
$174$	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	0.999987	−	0.00513471i	$-0.00163444\pi$
$179$	0.522586	+	3.63466i	0.0390599	+	0.271667i	−0.960927	+	0.276802i	$0.910725\pi$
$180$	−0.380918	+	3.14363i	−0.0283919	+	0.234312i
$181$	3.34960	+	3.86565i	0.248974	+	0.287331i	0.866456	−	0.499254i	$-0.166393\pi$
$181$	3.34960	+	3.86565i	0.248974	+	0.287331i	−0.617482	+	0.786585i	$0.711847\pi$
$182$	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	−0.504200	−	0.863587i	$-0.668213\pi$
$191$	6.61488	−	14.4846i	0.478636	−	1.04807i	0.982836	−	0.184480i	$-0.0590601\pi$
$192$	0.951117	+	0.824147i	0.0686409	+	0.0594777i
$193$	16.2334	+	2.33400i	1.16850	+	0.168005i	0.699130	−	0.714995i	$-0.253571\pi$
$193$	16.2334	+	2.33400i	1.16850	+	0.168005i	0.469373	+	0.883000i	$0.344480\pi$
$194$	−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	−0.0979275	−	0.995194i	$-0.531221\pi$
$197$	8.28190	−	3.78222i	0.590061	−	0.269472i	0.687988	+	0.725722i	$0.258494\pi$
$198$	−3.20078	−	0.460203i	−0.227470	−	0.0327052i
$199$	15.5311	−	17.9239i	1.10097	−	1.27059i	0.141148	−	0.989989i	$-0.454921\pi$
$199$	15.5311	−	17.9239i	1.10097	−	1.27059i	0.959824	−	0.280601i	$-0.0905338\pi$
$200$	−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	−0.462443	−	0.886649i	$-0.653027\pi$
$211$	2.20758	−	1.41873i	0.151976	−	0.0976692i	0.614419	+	0.788980i	$0.289391\pi$
$212$	−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	0.802447	−	0.596723i	$-0.203531\pi$
$223$	13.0959	+	5.98069i	0.876966	+	0.400497i	0.0745183	+	0.997220i	$0.476258\pi$
$224$	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	−0.714604	−	0.699529i	$-0.753393\pi$
$227$	−1.86666	+	1.61747i	−0.123894	+	0.107355i	0.590710	+	0.806884i	$0.298848\pi$
$228$	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	0.0261146	−	0.999659i	$-0.491687\pi$
$233$	15.5592	−	13.4821i	1.01931	−	0.883241i	0.993200	+	0.116418i	$0.0371411\pi$
$234$	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	−0.999115	−	0.0420623i	$-0.986607\pi$
$239$	−0.442468	+	3.07743i	−0.0286209	+	0.199062i	0.970494	+	0.241125i	$0.0775163\pi$
$240$	−0.732649	+	2.71706i	−0.0472923	+	0.175386i
$241$	9.87037	+	2.89820i	0.635806	+	0.186690i	0.583723	−	0.811953i	$-0.301596\pi$
$241$	9.87037	+	2.89820i	0.635806	+	0.186690i	0.0520837	+	0.998643i	$0.483414\pi$
$242$	−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	−0.659035	−	0.752113i	$-0.729035\pi$
$251$	−12.7825	+	3.75329i	−0.806827	+	0.236906i	−0.147793	+	0.989018i	$0.547217\pi$
$252$			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	0.764747	−	0.644331i	$-0.222864\pi$
$257$	−2.22905	−	3.46846i	−0.139044	−	0.216357i	−0.903791	+	0.427974i	$0.859228\pi$
$258$	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	−0.122012	−	0.992529i	$-0.538935\pi$
$263$	8.89016	−	4.06000i	0.548191	−	0.250350i	0.670202	+	0.742178i	$0.266207\pi$
$264$	−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	−0.340234	−	0.940341i	$-0.610506\pi$
$269$	9.72977	−	21.3052i	0.593234	−	1.29900i	0.933468	−	0.358661i	$-0.116767\pi$
$270$	−11.8434	+	3.76527i	−0.720768	+	0.229147i
$271$	0.396200	+	2.75563i	0.0240675	+	0.167393i	0.998310	−	0.0581087i	$-0.0185070\pi$
$271$	0.396200	+	2.75563i	0.0240675	+	0.167393i	−0.974243	+	0.225502i	$0.927598\pi$
$272$	−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	$-0.950604\pi$
$277$		−	5.14479i		−	0.309121i	0.987983	−	0.154560i	$-0.0493961\pi$
$278$	−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	0.803934	+	0.594719i	$0.202737\pi$
$281$	3.35457	+	23.3315i	0.200117	+	1.39184i	−0.603817	+	0.797123i	$0.706354\pi$
$282$	−1.71246	+	2.66464i	−0.101975	+	0.158677i
$283$	21.6945	+	9.90757i	1.28961	+	0.588944i	0.937815	−	0.347135i	$-0.112845\pi$
$283$	21.6945	+	9.90757i	1.28961	+	0.588944i	0.351792	+	0.936078i	$0.385573\pi$
$284$	−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	−0.857524	−	0.514444i	$-0.827998\pi$
$293$	−0.570702	+	0.888029i	−0.0333407	+	0.0518792i	0.824183	+	0.566323i	$0.191635\pi$
$294$	−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	0.0928499	−	0.995680i	$-0.470402\pi$
$307$	−15.4098	−	13.3526i	−0.879482	−	0.762075i	−0.972332	+	0.233605i	$0.924948\pi$
$308$	−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	0.753311	−	0.657664i	$-0.228455\pi$
$311$	18.1903	+	5.34115i	1.03148	+	0.302869i	0.278166	+	0.960533i	$0.410274\pi$
$312$	2.94749	−	1.34607i	0.166869	−	0.0762064i
$313$	−18.8059	−	2.70388i	−1.06297	−	0.152832i	−0.411427	−	0.911443i	$-0.634970\pi$
$313$	−18.8059	−	2.70388i	−1.06297	−	0.152832i	−0.651544	+	0.758610i	$0.725879\pi$
$314$	−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	−0.315611	−	0.948889i	$-0.602210\pi$
$317$	−6.25125	+	0.898794i	−0.351105	+	0.0504813i	−0.0354940	+	0.999370i	$0.511300\pi$
$318$	−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	0.707456	+	0.706757i	$0.249843\pi$
$331$	−3.10124	+	21.5696i	−0.170460	+	1.18557i	−0.877916	+	0.478815i	$0.841066\pi$
$332$	−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	0.786868	−	0.617121i	$-0.211701\pi$
$337$	5.28719	+	4.58138i	0.288012	+	0.249563i	−0.498857	+	0.866685i	$0.666247\pi$
$338$	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	0.985003	+	0.172536i	$0.0551962\pi$
$347$	4.65039	+	15.8378i	0.249646	+	0.850216i	−0.735357	+	0.677680i	$0.762986\pi$
$348$	1.40214	−	1.21496i	0.0751625	−	0.0651287i
$349$	16.0887	−	10.3396i	0.861206	−	0.553464i	−0.0338450	−	0.999427i	$-0.510775\pi$
$349$	16.0887	−	10.3396i	0.861206	−	0.553464i	0.895051	+	0.445964i	$0.147139\pi$
$350$	−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	0.334698	−	0.942325i	$-0.391366\pi$
$353$	−10.3411	−	8.96065i	−0.550404	−	0.476927i	−0.885102	+	0.465398i	$0.845911\pi$
$354$	−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	0.729085	+	0.684423i	$0.239946\pi$
$359$	−3.09393	+	21.5187i	−0.163291	+	1.13571i	−0.892376	+	0.451292i	$0.850963\pi$
$360$	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	$0.0102340\pi$
$367$			1.23164i			0.0642910i	−0.999483	+	0.0321455i	$0.989766\pi$
$368$	−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	−0.177779	−	0.984070i	$-0.556891\pi$
$373$	−1.37341	+	0.197466i	−0.0711124	+	0.0102244i	0.106667	+	0.994295i	$0.465982\pi$
$374$	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	−0.285392	−	0.958411i	$-0.592124\pi$
$379$	−20.3174	−	5.96573i	−1.04364	−	0.306439i	−0.758243	+	0.651972i	$0.773942\pi$
$380$	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	0.716144	−	0.697953i	$-0.245905\pi$
$383$	2.48962	+	2.15726i	0.127213	+	0.110231i	−0.588931	+	0.808184i	$0.700451\pi$
$384$	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	−0.728826	−	0.684699i	$-0.759934\pi$
$389$	−19.1664	+	5.62777i	−0.971777	+	0.285339i	−0.242951	+	0.970039i	$0.578115\pi$
$390$	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	−0.678578	−	0.734528i	$-0.737404\pi$
$397$	5.40887	−	8.41637i	0.271463	−	0.422405i	0.950042	+	0.312123i	$0.101040\pi$
$398$	−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	0.983454	−	0.181156i	$-0.0579839\pi$
$401$	4.05546	+	8.88023i	0.202520	+	0.443457i	−0.780934	+	0.624613i	$0.785257\pi$
$402$	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	−0.903800	−	0.427955i	$-0.859234\pi$
$409$	−3.17875	−	22.1087i	−0.157179	−	1.09321i	0.746621	−	0.665250i	$-0.231675\pi$
$410$	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	0.972222	+	0.234062i	$0.0752017\pi$
$419$	2.15594	+	14.9949i	0.105325	+	0.732549i	−0.866897	+	0.498487i	$0.833889\pi$
$420$	−13.9039	+	4.42035i	−0.678443	+	0.215691i
$421$	5.95606	−	13.0420i	0.290281	−	0.635626i	−0.707166	−	0.707048i	$-0.750026\pi$
$421$	5.95606	−	13.0420i	0.290281	−	0.635626i	0.997446	+	0.0714221i	$0.0227537\pi$
$422$	−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	0.881640	−	0.471923i	$-0.156440\pi$
$431$	16.9948	+	10.9219i	0.818610	+	0.526089i	−0.0630297	+	0.998012i	$0.520076\pi$
$432$	5.50120	−	0.790953i	0.264677	−	0.0380547i
$433$	8.01987	+	12.4792i	0.385411	+	0.599711i	0.978704	−	0.205276i	$-0.0658091\pi$
$433$	8.01987	+	12.4792i	0.385411	+	0.599711i	−0.593294	+	0.804986i	$0.702173\pi$
$434$	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	0.341912	−	0.939732i	$-0.388926\pi$
$439$	23.8354	−	6.99872i	1.13760	−	0.334031i	0.795692	+	0.605701i	$0.207107\pi$
$440$	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	−0.820291	−	0.571947i	$-0.806188\pi$
$443$	0.857306	−	1.33399i	0.0407318	−	0.0633800i	0.861022	+	0.508567i	$0.169825\pi$
$444$	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	0.874755	−	0.484566i	$-0.161023\pi$
$449$	28.5778	+	8.39119i	1.34867	+	0.396005i	0.473914	+	0.880571i	$0.342841\pi$
$450$	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	0.124489	−	0.992221i	$-0.460271\pi$
$457$	24.0354	−	20.8268i	1.12433	−	0.974235i	0.999838	+	0.0179862i	$0.00572549\pi$
$458$	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	−0.215855	−	0.976425i	$-0.569254\pi$
$463$	15.4907	−	13.4227i	0.719912	−	0.623807i	0.935767	+	0.352618i	$0.114709\pi$
$464$	−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	0.949847	−	0.312716i	$-0.101239\pi$
$467$	28.8610	+	13.1804i	1.33553	+	0.609915i	0.385682	+	0.922632i	$0.373966\pi$
$468$	−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	−0.781634	−	0.623737i	$-0.785614\pi$
$479$	−11.7958	+	7.58073i	−0.538966	+	0.346372i	0.242669	+	0.970109i	$0.421977\pi$
$480$	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	0.990845	−	0.135006i	$-0.0431054\pi$
$487$	10.0725	+	15.6731i	0.456427	+	0.710214i	−0.534418	+	0.845221i	$0.679469\pi$
$488$	−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	−0.635704	−	0.771933i	$-0.719290\pi$
$491$	4.84920	−	5.59627i	0.218841	−	0.252556i	0.854546	+	0.519376i	$0.173836\pi$
$492$	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	−0.773914	−	0.633291i	$-0.781704\pi$
$499$	4.72459	−	10.3454i	0.211502	−	0.463124i	0.985415	+	0.170167i	$0.0544308\pi$
$500$	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	−0.979619	−	0.200866i	$-0.935624\pi$
$503$	−20.6382	+	17.8831i	−0.920212	+	0.797368i	0.0594070	+	0.998234i	$0.481079\pi$
$504$	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	0.937784	−	0.347218i	$-0.112874\pi$
$509$	10.3925	+	11.9936i	0.460639	+	0.531606i	−0.477145	+	0.878825i	$0.658328\pi$
$510$	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	−0.891367	−	0.453282i	$-0.850253\pi$
$521$	−7.20928	+	8.31996i	−0.315844	+	0.364504i	0.575523	+	0.817786i	$0.304799\pi$
$522$	−1.89904	−	0.867263i	−0.0831187	−	0.0379591i
$523$	−7.23208	+	11.2533i	−0.316237	+	0.492074i	−0.962589	−	0.270965i	$-0.912657\pi$
$523$	−7.23208	+	11.2533i	−0.316237	+	0.492074i	0.646352	+	0.763039i	$0.276294\pi$
$524$	−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	−0.319844	−	0.947470i	$-0.603631\pi$
$541$	−25.6122	−	7.52043i	−1.10116	−	0.323328i	−0.781311	+	0.624142i	$0.785449\pi$
$542$	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	−0.559018	−	0.829156i	$-0.688822\pi$
$547$	−20.1556	+	2.89794i	−0.861791	+	0.123907i	−0.302774	+	0.953063i	$0.597913\pi$
$548$	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	−0.430046	−	0.902807i	$-0.641503\pi$
$557$	−13.8849	+	1.99635i	−0.588322	+	0.0845880i	−0.158276	+	0.987395i	$0.550594\pi$
$558$	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	−0.966976	−	0.254868i	$-0.917968\pi$
$563$	−0.372801	+	1.26964i	−0.0157117	+	0.0535091i	0.951264	+	0.308378i	$0.0997860\pi$
$564$	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	0.579805	−	0.814755i	$-0.303129\pi$
$569$	1.89726	+	1.21930i	0.0795375	+	0.0511156i	−0.500268	+	0.865871i	$0.666765\pi$
$570$	14.3932	+	8.80441i	0.602865	+	0.368776i
$571$	23.7275	−	15.2487i	0.992965	−	0.638140i	0.0600344	−	0.998196i	$-0.480879\pi$
$571$	23.7275	−	15.2487i	0.992965	−	0.638140i	0.932930	+	0.360057i	$0.117243\pi$
$572$	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	0.852217	+	0.523188i	$0.175257\pi$
$577$	10.0441	+	34.2072i	0.418143	+	1.42407i	−0.434074	+	0.900877i	$0.642924\pi$
$578$	−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	−0.320430	−	0.947272i	$-0.603827\pi$
$587$	11.1756	−	38.0606i	0.461267	−	1.57093i	0.781697	−	0.623659i	$-0.214354\pi$
$588$	−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	−0.791743	−	0.610855i	$-0.790826\pi$
$593$	−33.5886	+	4.82930i	−1.37932	+	0.198316i	−0.587574	+	0.809171i	$0.699917\pi$
$594$	−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	0.869431	−	0.494054i	$-0.164485\pi$
$601$	6.29242	+	7.26184i	0.256673	+	0.296217i	−0.612758	+	0.790270i	$0.709940\pi$
$602$	−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	0.161626	−	0.986852i	$-0.448326\pi$
$607$	0.952905	+	0.137007i	0.0386772	+	0.00556094i	−0.122949	+	0.992413i	$0.539235\pi$
$608$	−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	0.428319	−	0.903628i	$-0.359106\pi$
$613$	−10.0312	−	8.69205i	−0.405155	−	0.351068i	−0.833474	+	0.552559i	$0.813651\pi$
$614$	−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	−0.790926	−	0.611912i	$-0.790401\pi$
$617$	−25.3109	−	39.3845i	−1.01898	−	1.58556i	−0.228053	−	0.973649i	$-0.573236\pi$
$618$	4.07156	−	3.52803i	0.163782	−	0.141918i
$619$	−44.9233	+	13.1907i	−1.80562	+	0.530178i	−0.998210	−	0.0598105i	$-0.980950\pi$
$619$	−44.9233	+	13.1907i	−1.80562	+	0.530178i	−0.807411	+	0.589989i	$0.799132\pi$
$620$	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	−0.999655	−	0.0262625i	$-0.991639\pi$
$631$	−9.16538	−	20.0694i	−0.364868	−	0.798950i	0.634787	−	0.772687i	$-0.281088\pi$
$632$	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	0.430904	−	0.902398i	$-0.358195\pi$
$641$	−13.2573	−	15.2998i	−0.523633	−	0.604305i	−0.954537	+	0.298093i	$0.903649\pi$
$642$	5.20866	+	17.7391i	0.205569	+	0.700105i
$643$			3.05833i			0.120609i	0.998180	+	0.0603043i	$0.0192071\pi$
$643$			3.05833i			0.120609i	−0.998180	+	0.0603043i	$0.980793\pi$
$644$	−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	−0.932726	−	0.360587i	$-0.882577\pi$
$647$	−18.0228	+	15.6169i	−0.708550	+	0.613962i	0.224176	+	0.974549i	$0.428031\pi$
$648$	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	−0.686861	−	0.726788i	$-0.741012\pi$
$653$	−39.6254	−	5.69727i	−1.55066	−	0.222951i	−0.863799	+	0.503837i	$0.831921\pi$
$654$	−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	−0.889655	−	0.456634i	$-0.849055\pi$
$659$	−7.98515	+	9.21535i	−0.311057	+	0.358979i	0.578597	+	0.815613i	$0.303600\pi$
$660$	−5.78439	+	2.79857i	−0.225157	+	0.108934i
$661$	−11.2131	−	7.20620i	−0.436138	−	0.280289i	0.304092	−	0.952643i	$-0.401647\pi$
$661$	−11.2131	−	7.20620i	−0.436138	−	0.280289i	−0.740230	+	0.672354i	$0.765283\pi$
$662$	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	−0.145682	−	0.989332i	$-0.546538\pi$
$673$	21.1368	−	32.8895i	0.814764	−	1.26780i	0.960446	−	0.278467i	$-0.0898261\pi$
$674$	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	0.270843	−	0.962624i	$-0.412698\pi$
$677$	30.5911	−	13.9705i	1.17571	−	0.536929i	0.904867	+	0.425695i	$0.139970\pi$
$678$	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	0.711116	−	0.703075i	$-0.248190\pi$
$683$	16.8684	+	7.70352i	0.645450	+	0.294767i	−0.0656664	+	0.997842i	$0.520917\pi$
$684$	−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	−0.0581418	−	0.998308i	$-0.518518\pi$
$701$	−17.1244	−	5.02818i	−0.646780	−	0.189912i	−0.588638	+	0.808397i	$0.700336\pi$
$702$	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	−0.961913	−	0.273355i	$-0.911867\pi$
$709$	−29.6320	+	19.0433i	−1.11285	+	0.715188i	−0.150940	+	0.988543i	$0.548230\pi$
$710$	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	0.622578	−	0.782557i	$-0.286085\pi$
$719$	4.54145	+	2.91862i	0.169368	+	0.108846i	−0.453211	+	0.891403i	$0.649722\pi$
$720$	−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	0.764356	−	0.644795i	$-0.223057\pi$
$727$	35.4857	+	5.10207i	1.31609	+	0.189225i	0.551734	+	0.834020i	$0.313966\pi$
$728$	−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	−0.935573	−	0.353133i	$-0.885116\pi$
$733$	−19.4711	+	16.8718i	−0.719181	+	0.623174i	0.216392	+	0.976307i	$0.430571\pi$
$734$	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	0.943029	−	0.332711i	$-0.107963\pi$
$739$	13.0349	+	15.0431i	0.479497	+	0.553369i	−0.463532	+	0.886080i	$0.653418\pi$
$740$	−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	0.842435	−	0.538798i	$-0.181121\pi$
$743$	26.9014	+	12.2855i	0.986916	+	0.450710i	0.144481	+	0.989508i	$0.453849\pi$
$744$	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	−0.985497	−	0.169693i	$-0.945723\pi$
$751$	−18.5605	+	21.4199i	−0.677281	+	0.781624i	0.308216	+	0.951316i	$0.400268\pi$
$752$	−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	0.958078	+	0.286508i	$0.0924945\pi$
$757$	8.44639	+	28.7658i	0.306989	+	1.04551i	−0.651088	+	0.759002i	$0.725687\pi$
$758$			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	0.673276	−	0.739391i	$-0.264886\pi$
$761$	45.2253	−	13.2794i	1.63942	−	0.481376i	0.966141	+	0.258015i	$0.0830683\pi$
$762$	−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	−0.868032	−	0.496508i	$-0.834615\pi$
$769$	−18.7135	−	40.9769i	−0.674828	−	1.47767i	0.193204	−	0.981159i	$-0.438112\pi$
$770$	−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	0.989717	−	0.143040i	$-0.0456877\pi$
$773$	52.7989	+	7.59134i	1.89904	+	0.273041i	0.909327	+	0.416081i	$0.136597\pi$
$774$	−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	−0.806445	−	0.591309i	$-0.798612\pi$
$787$	−39.6574	+	5.70187i	−1.41363	+	0.203250i	−0.607188	+	0.794558i	$0.707702\pi$
$788$	−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	0.999980	−	0.00628612i	$-0.00200095\pi$
$797$	32.0726	+	27.7911i	1.13607	+	0.984410i	0.136090	+	0.990696i	$0.456546\pi$
$798$	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	−0.570750	−	0.821124i	$-0.693347\pi$
$809$	−1.73294	+	1.11369i	−0.0609269	+	0.0391554i	0.509823	+	0.860279i	$0.329711\pi$
$810$	−3.20413	+	5.23802i	−0.112582	+	0.184045i
$811$	−27.4790	−	17.6597i	−0.964917	−	0.620115i	−0.0395627	−	0.999217i	$-0.512596\pi$
$811$	−27.4790	−	17.6597i	−0.964917	−	0.620115i	−0.925355	+	0.379102i	$0.876233\pi$
$812$	−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	0.578928	+	0.815379i	$0.303471\pi$
$821$	−11.9315	+	26.1263i	−0.416411	+	0.911813i	−0.995339	+	0.0964348i	$0.969256\pi$
$822$	−4.32108	+	6.72373i	−0.150715	+	0.234517i
$823$	1.01971	−	0.146613i	0.0355450	−	0.00511060i	−0.124519	−	0.992217i	$-0.539739\pi$
$823$	1.01971	−	0.146613i	0.0355450	−	0.00511060i	0.160064	+	0.987107i	$0.448830\pi$
$824$	−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	$0.110256\pi$
$827$			19.5261i			0.678991i	−0.940608	+	0.339495i	$0.889744\pi$
$828$	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	0.507903	−	0.861414i	$-0.330421\pi$
$839$	13.5982	+	3.99280i	0.469463	+	0.137847i	−0.0384404	+	0.999261i	$0.512239\pi$
$840$	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	0.939353	−	0.342952i	$-0.111427\pi$
$853$	−1.06004	−	3.61017i	−0.0362952	−	0.123610i	−0.975648	+	0.219342i	$0.929609\pi$
$854$	−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	−0.788235	−	0.615374i	$-0.789005\pi$
$857$	2.89741	−	4.50846i	0.0989737	−	0.154006i	0.887209	+	0.461368i	$0.152641\pi$
$858$	6.73038	+	3.07366i	0.229771	+	0.104933i
$859$	14.4002	−	16.6188i	0.491330	−	0.567025i	−0.454891	−	0.890547i	$-0.650322\pi$
$859$	14.4002	−	16.6188i	0.491330	−	0.567025i	0.946221	+	0.323522i	$0.104867\pi$
$860$	−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	0.696658	+	0.717403i	$0.254669\pi$
$863$	−8.14519	+	27.7400i	−0.277265	+	0.944279i	−0.973924	+	0.226876i	$0.927149\pi$
$864$	−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	−0.794854	−	0.606800i	$-0.792453\pi$
$877$	−9.10192	+	7.88686i	−0.307350	+	0.266320i	0.487504	+	0.873121i	$0.337907\pi$
$878$	−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	−0.960844	−	0.277091i	$-0.910630\pi$
$881$	−3.62750	+	7.94312i	−0.122214	+	0.267610i	0.838630	+	0.544701i	$0.183357\pi$
$882$	21.2756	+	18.4354i	0.716385	+	0.620751i
$883$	−20.3838	−	2.93074i	−0.685969	−	0.0986274i	−0.209486	−	0.977812i	$-0.567179\pi$
$883$	−20.3838	−	2.93074i	−0.685969	−	0.0986274i	−0.476482	+	0.879184i	$0.658088\pi$
$884$	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	0.447274	−	0.894397i	$-0.352395\pi$
$887$	42.1756	−	19.2609i	1.41612	−	0.646719i	0.968842	+	0.247678i	$0.0796676\pi$
$888$	−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	−0.550449	−	0.834869i	$-0.685544\pi$
$907$	−8.43157	+	3.85057i	−0.279966	+	0.127856i	0.270484	+	0.962725i	$0.412816\pi$
$908$	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	−0.950905	−	0.309483i	$-0.899844\pi$
$911$	1.46909	−	10.2178i	0.0486732	−	0.338530i	0.999578	−	0.0290463i	$-0.00924701\pi$
$912$	−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	−0.902148	−	0.431427i	$-0.858010\pi$
$929$	2.59087	−	18.0199i	0.0850038	−	0.591215i	0.987151	−	0.159787i	$-0.0510808\pi$
$930$	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	−0.901791	−	0.432172i	$-0.857747\pi$
$937$	−4.10351	+	6.38518i	−0.134056	+	0.208595i	0.767735	+	0.640767i	$0.221384\pi$
$938$	−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	−0.851237	−	0.524782i	$-0.824147\pi$
$941$	−39.3761	+	11.5619i	−1.28362	+	0.376906i	−0.432387	+	0.901688i	$0.642329\pi$
$942$			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	0.817183	−	0.576378i	$-0.195534\pi$
$947$	−1.43337	−	2.23037i	−0.0465783	−	0.0724773i	−0.863762	+	0.503900i	$0.831898\pi$
$948$	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	−0.865498	−	0.500912i	$-0.832998\pi$
$953$	−32.5289	+	14.8555i	−1.05372	+	0.481216i	−0.188217	+	0.982127i	$0.560271\pi$
$954$	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	$0.350580\pi$
$967$			55.4659i			1.78366i	−0.452367	+	0.891832i	$0.649420\pi$
$968$	−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	0.346559	+	0.938028i	$0.387350\pi$
$971$	8.67242	+	60.3180i	0.278311	+	1.93570i	−0.0682477	+	0.997668i	$0.521741\pi$
$972$	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	−0.372988	−	0.927836i	$-0.621667\pi$
$977$	13.8286	−	47.0958i	0.442416	−	1.50673i	0.815403	−	0.578893i	$-0.196515\pi$
$978$	−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	−0.946288	−	0.323325i	$-0.895199\pi$
$983$	−8.12284	+	12.6394i	−0.259079	+	0.403134i	0.687209	+	0.726459i	$0.258836\pi$
$984$	−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	−0.999313	−	0.0370686i	$-0.988198\pi$
$991$	−57.2922	+	16.8225i	−1.81995	+	0.534385i	−0.820635	+	0.571453i	$0.806380\pi$
$992$	−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	0.998118	−	0.0613272i	$-0.0195333\pi$
$997$	34.0843	+	29.5342i	1.07946	+	0.935359i	0.0813439	+	0.996686i	$0.474079\pi$
$998$	−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.9.4	✓	120
5.4	even	2	inner	230.2.j.a.9.9	yes	120
23.18	even	11	inner	230.2.j.a.179.9	yes	120
115.64	even	22	inner	230.2.j.a.179.4	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.9.4	✓	120	1.1	even	1	trivial
230.2.j.a.9.9	yes	120	5.4	even	2	inner
230.2.j.a.179.4	yes	120	115.64	even	22	inner
230.2.j.a.179.9	yes	120	23.18	even	11	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

Fields

Representations

Groups

Database

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