LMFDB - Embedded newform 230.2.j.a.119.10

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			119.10
Character	$\chi$	$=$	230.119
Dual form			230.2.j.a.29.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.909632 - 0.415415i) q^{2} +(-0.0359844 - 0.122552i) q^{3} +(0.654861 - 0.755750i) q^{4} +(-1.78273 - 1.34976i) q^{5} +(-0.0836423 - 0.0965284i) q^{6} +(0.277941 - 0.0399619i) q^{7} +(0.281733 - 0.959493i) q^{8} +(2.51004 - 1.61310i) q^{9} +O(q^{10})$	\(q+(0.909632 - 0.415415i) q^{2} +(-0.0359844 - 0.122552i) q^{3} +(0.654861 - 0.755750i) q^{4} +(-1.78273 - 1.34976i) q^{5} +(-0.0836423 - 0.0965284i) q^{6} +(0.277941 - 0.0399619i) q^{7} +(0.281733 - 0.959493i) q^{8} +(2.51004 - 1.61310i) q^{9} +(-2.18234 - 0.487212i) q^{10} +(2.07071 - 4.53422i) q^{11} +(-0.116183 - 0.0530590i) q^{12} +(3.69726 + 0.531586i) q^{13} +(0.236223 - 0.151811i) q^{14} +(-0.101265 + 0.267047i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-5.80355 + 5.02880i) q^{17} +(1.61310 - 2.51004i) q^{18} +(-2.73415 + 3.15538i) q^{19} +(-2.18752 + 0.463395i) q^{20} +(-0.0148989 - 0.0326241i) q^{21} -4.98467i q^{22} +(-0.919072 + 4.70694i) q^{23} -0.127725 q^{24} +(1.35629 + 4.81253i) q^{25} +(3.58398 - 1.05235i) q^{26} +(-0.577595 - 0.500489i) q^{27} +(0.151811 - 0.236223i) q^{28} +(-1.53549 - 1.77205i) q^{29} +(0.0188217 + 0.284982i) q^{30} +(3.18900 + 0.936376i) q^{31} +(-0.540641 - 0.841254i) q^{32} +(-0.630188 - 0.0906074i) q^{33} +(-3.19005 + 6.98524i) q^{34} +(-0.549434 - 0.303913i) q^{35} +(0.424623 - 2.95332i) q^{36} +(4.55996 + 7.09543i) q^{37} +(-1.17628 + 4.00604i) q^{38} +(-0.0678970 - 0.472234i) q^{39} +(-1.79734 + 1.33025i) q^{40} +(1.35119 + 0.868354i) q^{41} +(-0.0271051 - 0.0234867i) q^{42} +(-2.28629 - 7.78640i) q^{43} +(-2.07071 - 4.53422i) q^{44} +(-6.65203 - 0.512218i) q^{45} +(1.11932 + 4.66338i) q^{46} -5.98632i q^{47} +(-0.116183 + 0.0530590i) q^{48} +(-6.64080 + 1.94991i) q^{49} +(3.23292 + 3.81421i) q^{50} +(0.825125 + 0.530276i) q^{51} +(2.82294 - 2.44609i) q^{52} +(10.5552 - 1.51760i) q^{53} +(-0.733310 - 0.215319i) q^{54} +(-9.81163 + 5.28834i) q^{55} +(0.0399619 - 0.277941i) q^{56} +(0.485083 + 0.221530i) q^{57} +(-2.13286 - 0.974046i) q^{58} +(-1.46074 + 10.1597i) q^{59} +(0.135506 + 0.251410i) q^{60} +(10.4089 + 3.05634i) q^{61} +(3.28980 - 0.473003i) q^{62} +(0.633179 - 0.548653i) q^{63} +(-0.841254 - 0.540641i) q^{64} +(-5.87372 - 5.93810i) q^{65} +(-0.610879 + 0.179370i) q^{66} +(-8.30299 + 3.79185i) q^{67} +7.67920i q^{68} +(0.609915 - 0.0567427i) q^{69} +(-0.626032 - 0.0482056i) q^{70} +(-1.57188 - 3.44193i) q^{71} +(-0.840602 - 2.86283i) q^{72} +(7.70105 + 6.67300i) q^{73} +(7.09543 + 4.55996i) q^{74} +(0.540978 - 0.339391i) q^{75} +(0.594188 + 4.13267i) q^{76} +(0.394338 - 1.34299i) q^{77} +(-0.257934 - 0.401354i) q^{78} +(0.687186 - 4.77948i) q^{79} +(-1.08231 + 1.95668i) q^{80} +(3.67785 - 8.05337i) q^{81} +(1.58981 + 0.228580i) q^{82} +(-6.83669 - 10.6381i) q^{83} +(-0.0344123 - 0.0101044i) q^{84} +(17.1339 - 1.13161i) q^{85} +(-5.31428 - 6.13300i) q^{86} +(-0.161914 + 0.251942i) q^{87} +(-3.76716 - 3.26427i) q^{88} +(-5.36601 + 1.57560i) q^{89} +(-6.26369 + 2.29742i) q^{90} +1.04886 q^{91} +(2.95541 + 3.77698i) q^{92} -0.424512i q^{93} +(-2.48681 - 5.44534i) q^{94} +(9.13328 - 1.93475i) q^{95} +(-0.0836423 + 0.0965284i) q^{96} +(-2.46614 + 3.83739i) q^{97} +(-5.23066 + 4.53239i) q^{98} +(-2.11660 - 14.7213i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{2}{11}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.909632	−	0.415415i	0.643207	−	0.293743i
$2$	0.909632	−	0.415415i	0.643207	−	0.293743i
$3$	−0.0359844	−	0.122552i	−0.0207756	−	0.0707552i	0.948453	−	0.316919i	$-0.102648\pi$
$3$	−0.0359844	−	0.122552i	−0.0207756	−	0.0707552i	−0.969228	+	0.246163i	$0.920830\pi$
$4$	0.654861	−	0.755750i	0.327430	−	0.377875i
$5$	−1.78273	−	1.34976i	−0.797263	−	0.603632i
$5$	−1.78273	−	1.34976i	−0.797263	−	0.603632i
$6$	−0.0836423	−	0.0965284i	−0.0341468	−	0.0394075i
$7$	0.277941	−	0.0399619i	0.105052	−	0.0151042i	−0.0895884	−	0.995979i	$-0.528555\pi$
$7$	0.277941	−	0.0399619i	0.105052	−	0.0151042i	0.194640	+	0.980875i	$0.437646\pi$
$8$	0.281733	−	0.959493i	0.0996075	−	0.339232i
$9$	2.51004	−	1.61310i	0.836679	−	0.537701i
$10$	−2.18234	−	0.487212i	−0.690118	−	0.154070i
$11$	2.07071	−	4.53422i	0.624342	−	1.36712i	−0.287977	−	0.957637i	$-0.592983\pi$
$11$	2.07071	−	4.53422i	0.624342	−	1.36712i	0.912319	−	0.409480i	$-0.134290\pi$
$12$	−0.116183	−	0.0530590i	−0.0335392	−	0.0153168i
$13$	3.69726	+	0.531586i	1.02544	+	0.147435i	0.634452	−	0.772962i	$-0.281226\pi$
$13$	3.69726	+	0.531586i	1.02544	+	0.147435i	0.390984	+	0.920397i	$0.372135\pi$
$14$	0.236223	−	0.151811i	0.0631333	−	0.0405733i
$15$	−0.101265	+	0.267047i	−0.0261465	+	0.0689513i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	−5.80355	+	5.02880i	−1.40757	+	1.21966i	−0.465147	+	0.885233i	$0.653999\pi$
$17$	−5.80355	+	5.02880i	−1.40757	+	1.21966i	−0.942420	+	0.334431i	$0.891456\pi$
$18$	1.61310	−	2.51004i	0.380212	−	0.591621i
$19$	−2.73415	+	3.15538i	−0.627258	+	0.723894i	−0.977068	−	0.212927i	$-0.931700\pi$
$19$	−2.73415	+	3.15538i	−0.627258	+	0.723894i	0.349811	+	0.936820i	$0.386246\pi$
$20$	−2.18752	+	0.463395i	−0.489145	+	0.103618i
$21$	−0.0148989	−	0.0326241i	−0.00325121	−	0.00711916i
$22$		−	4.98467i		−	1.06274i
$23$	−0.919072	+	4.70694i	−0.191640	+	0.981465i
$23$	−0.919072	+	4.70694i	−0.191640	+	0.981465i
$24$	−0.127725			−0.0260718
$25$	1.35629	+	4.81253i	0.271257	+	0.962507i
$26$	3.58398	−	1.05235i	0.702876	−	0.206383i
$27$	−0.577595	−	0.500489i	−0.111158	−	0.0963192i
$28$	0.151811	−	0.236223i	0.0286897	−	0.0446420i
$29$	−1.53549	−	1.77205i	−0.285133	−	0.329061i	0.595056	−	0.803684i	$-0.297130\pi$
$29$	−1.53549	−	1.77205i	−0.285133	−	0.329061i	−0.880189	+	0.474623i	$0.842584\pi$
$30$	0.0188217	+	0.284982i	0.00343636	+	0.0520303i
$31$	3.18900	+	0.936376i	0.572762	+	0.168178i	0.555272	−	0.831669i	$-0.312614\pi$
$31$	3.18900	+	0.936376i	0.572762	+	0.168178i	0.0174902	+	0.999847i	$0.494432\pi$
$32$	−0.540641	−	0.841254i	−0.0955727	−	0.148714i
$33$	−0.630188	−	0.0906074i	−0.109702	−	0.0157727i
$34$	−3.19005	+	6.98524i	−0.547090	+	1.19796i
$35$	−0.549434	−	0.303913i	−0.0928712	−	0.0513706i
$36$	0.424623	−	2.95332i	0.0707705	−	0.492219i
$37$	4.55996	+	7.09543i	0.749652	+	1.16648i	0.981075	+	0.193628i	$0.0620255\pi$
$37$	4.55996	+	7.09543i	0.749652	+	1.16648i	−0.231423	+	0.972853i	$0.574338\pi$
$38$	−1.17628	+	4.00604i	−0.190818	+	0.649866i
$39$	−0.0678970	−	0.472234i	−0.0108722	−	0.0756180i
$40$	−1.79734	+	1.33025i	−0.284185	+	0.210331i
$41$	1.35119	+	0.868354i	0.211020	+	0.135614i	0.641882	−	0.766804i	$-0.278154\pi$
$41$	1.35119	+	0.868354i	0.211020	+	0.135614i	−0.430862	+	0.902418i	$0.641790\pi$
$42$	−0.0271051	−	0.0234867i	−0.00418240	−	0.00362407i
$43$	−2.28629	−	7.78640i	−0.348657	−	1.18742i	−0.928078	−	0.372387i	$-0.878539\pi$
$43$	−2.28629	−	7.78640i	−0.348657	−	1.18742i	0.579421	−	0.815028i	$-0.303279\pi$
$44$	−2.07071	−	4.53422i	−0.312171	−	0.683559i
$45$	−6.65203	−	0.512218i	−0.991627	−	0.0763570i
$46$	1.11932	+	4.66338i	0.165034	+	0.687578i
$47$		−	5.98632i		−	0.873194i	−0.899657	−	0.436597i	$-0.856184\pi$
$47$		−	5.98632i		−	0.873194i	0.899657	−	0.436597i	$-0.143816\pi$
$48$	−0.116183	+	0.0530590i	−0.0167696	+	0.00765841i
$49$	−6.64080	+	1.94991i	−0.948685	+	0.278559i
$50$	3.23292	+	3.81421i	0.457204	+	0.539411i
$51$	0.825125	+	0.530276i	0.115541	+	0.0742534i
$52$	2.82294	−	2.44609i	0.391471	−	0.339212i
$53$	10.5552	−	1.51760i	1.44986	−	0.208459i	0.628030	−	0.778189i	$-0.283862\pi$
$53$	10.5552	−	1.51760i	1.44986	−	0.208459i	0.821832	+	0.569731i	$0.192952\pi$
$54$	−0.733310	−	0.215319i	−0.0997909	−	0.0293012i
$55$	−9.81163	+	5.28834i	−1.32300	+	0.713080i
$56$	0.0399619	−	0.277941i	0.00534013	−	0.0371414i
$57$	0.485083	+	0.221530i	0.0642509	+	0.0293424i
$58$	−2.13286	−	0.974046i	−0.280059	−	0.127899i
$59$	−1.46074	+	10.1597i	−0.190173	+	1.32268i	0.641375	+	0.767227i	$0.278364\pi$
$59$	−1.46074	+	10.1597i	−0.190173	+	1.32268i	−0.831548	+	0.555453i	$0.812545\pi$
$60$	0.135506	+	0.251410i	0.0174938	+	0.0324568i
$61$	10.4089	+	3.05634i	1.33273	+	0.391325i	0.869070	−	0.494689i	$-0.164718\pi$
$61$	10.4089	+	3.05634i	1.33273	+	0.391325i	0.463659	+	0.886014i	$0.346536\pi$
$62$	3.28980	−	0.473003i	0.417806	−	0.0600714i
$63$	0.633179	−	0.548653i	0.0797731	−	0.0691238i
$64$	−0.841254	−	0.540641i	−0.105157	−	0.0675801i
$65$	−5.87372	−	5.93810i	−0.728546	−	0.736531i
$66$	−0.610879	+	0.179370i	−0.0751940	+	0.0220790i
$67$	−8.30299	+	3.79185i	−1.01437	+	0.463248i	−0.852033	−	0.523487i	$-0.824631\pi$
$67$	−8.30299	+	3.79185i	−1.01437	+	0.463248i	−0.162338	+	0.986735i	$0.551903\pi$
$68$			7.67920i			0.931239i
$69$	0.609915	−	0.0567427i	0.0734252	−	0.00683102i
$70$	−0.626032	−	0.0482056i	−0.0748252	−	0.00576167i
$71$	−1.57188	−	3.44193i	−0.186547	−	0.408482i	0.793133	−	0.609049i	$-0.208449\pi$
$71$	−1.57188	−	3.44193i	−0.186547	−	0.408482i	−0.979680	+	0.200567i	$0.935721\pi$
$72$	−0.840602	−	2.86283i	−0.0990658	−	0.337387i
$73$	7.70105	+	6.67300i	0.901340	+	0.781015i	0.976356	−	0.216167i	$-0.0693556\pi$
$73$	7.70105	+	6.67300i	0.901340	+	0.781015i	−0.0750167	+	0.997182i	$0.523901\pi$
$74$	7.09543	+	4.55996i	0.824827	+	0.530084i
$75$	0.540978	−	0.339391i	0.0624668	−	0.0391895i
$76$	0.594188	+	4.13267i	0.0681580	+	0.474050i
$77$	0.394338	−	1.34299i	0.0449390	−	0.153048i
$78$	−0.257934	−	0.401354i	−0.0292053	−	0.0454444i
$79$	0.687186	−	4.77948i	0.0773145	−	0.537734i	−0.913948	−	0.405831i	$-0.866982\pi$
$79$	0.687186	−	4.77948i	0.0773145	−	0.537734i	0.991263	−	0.131903i	$-0.0421087\pi$
$80$	−1.08231	+	1.95668i	−0.121006	+	0.218763i
$81$	3.67785	−	8.05337i	0.408650	−	0.894819i
$82$	1.58981	+	0.228580i	0.175565	+	0.0252424i
$83$	−6.83669	−	10.6381i	−0.750425	−	1.16768i	−0.980882	−	0.194601i	$-0.937659\pi$
$83$	−6.83669	−	10.6381i	−0.750425	−	1.16768i	0.230458	−	0.973082i	$-0.425978\pi$
$84$	−0.0344123	−	0.0101044i	−0.00375469	−	0.00110248i
$85$	17.1339	−	1.13161i	1.85843	−	0.122741i
$86$	−5.31428	−	6.13300i	−0.573053	−	0.661339i
$87$	−0.161914	+	0.251942i	−0.0173590	+	0.0270111i
$88$	−3.76716	−	3.26427i	−0.401581	−	0.347972i
$89$	−5.36601	+	1.57560i	−0.568796	+	0.167014i	−0.553470	−	0.832869i	$-0.686697\pi$
$89$	−5.36601	+	1.57560i	−0.568796	+	0.167014i	−0.0153257	+	0.999883i	$0.504879\pi$
$90$	−6.26369	+	2.29742i	−0.660250	+	0.242170i
$91$	1.04886			0.109951
$92$	2.95541	+	3.77698i	0.308122	+	0.393777i
$93$		−	0.424512i		−	0.0440199i
$94$	−2.48681	−	5.44534i	−0.256494	−	0.561644i
$95$	9.13328	−	1.93475i	0.937055	−	0.198501i
$96$	−0.0836423	+	0.0965284i	−0.00853671	+	0.00985188i
$97$	−2.46614	+	3.83739i	−0.250398	+	0.389628i	−0.943585	−	0.331131i	$-0.892570\pi$
$97$	−2.46614	+	3.83739i	−0.250398	+	0.389628i	0.693186	+	0.720758i	$0.256206\pi$
$98$	−5.23066	+	4.53239i	−0.528376	+	0.457841i
$99$	−2.11660	−	14.7213i	−0.212727	−	1.47955i
$100$	4.52525	+	2.12653i	0.452525	+	0.212653i
$101$	1.61923	−	1.04062i	0.161119	−	0.103545i	−0.457596	−	0.889160i	$-0.651290\pi$
$101$	1.61923	−	1.04062i	0.161119	−	0.103545i	0.618716	+	0.785615i	$0.287653\pi$
$102$	0.970844	+	0.139586i	0.0961279	+	0.0138211i
$103$	−13.7653	−	6.28640i	−1.35633	−	0.619417i	−0.401310	−	0.915943i	$-0.631445\pi$
$103$	−13.7653	−	6.28640i	−1.35633	−	0.619417i	−0.955025	+	0.296525i	$0.904172\pi$
$104$	1.55169	−	3.39773i	0.152156	−	0.333175i
$105$	−0.0174739	+	0.0782701i	−0.00170528	+	0.00763838i
$106$	8.97087	−	5.76523i	0.871328	−	0.559968i
$107$	−2.00341	+	6.82299i	−0.193677	+	0.659603i	0.804193	+	0.594368i	$0.202598\pi$
$107$	−2.00341	+	6.82299i	−0.193677	+	0.659603i	−0.997870	+	0.0652348i	$0.979220\pi$
$108$	−0.756489	+	0.108767i	−0.0727932	+	0.0104661i
$109$	6.96543	+	8.03854i	0.667167	+	0.769952i	0.983930	−	0.178553i	$-0.0571415\pi$
$109$	6.96543	+	8.03854i	0.667167	+	0.769952i	−0.316763	+	0.948505i	$0.602596\pi$
$110$	−6.72812	+	8.88634i	−0.641501	+	0.847280i
$111$	0.705469	−	0.814154i	0.0669601	−	0.0772761i
$112$	−0.0791102	−	0.269425i	−0.00747521	−	0.0254582i
$113$	−11.3093	+	5.16480i	−1.06389	+	0.485864i	−0.868924	−	0.494946i	$-0.835188\pi$
$113$	−11.3093	+	5.16480i	−1.06389	+	0.485864i	−0.194969	+	0.980809i	$0.562461\pi$
$114$	0.533274			0.0499457
$115$	7.99171	−	7.15070i	0.745231	−	0.666806i
$116$	−2.34475			−0.217705
$117$	10.1378	−	4.62976i	0.937237	−	0.428022i
$118$	2.89175	+	9.84840i	0.266207	+	0.906619i
$119$	−1.41208	+	1.62963i	−0.129445	+	0.149388i
$120$	0.227700	+	0.172399i	0.0207861	+	0.0157378i
$121$	−9.06782	−	10.4648i	−0.824347	−	0.951347i
$122$	10.7380	−	1.54389i	0.972170	−	0.139777i
$123$	0.0577966	−	0.196837i	0.00521134	−	0.0177482i
$124$	2.79602	−	1.79689i	0.251090	−	0.161366i
$125$	4.07788	−	10.4101i	0.364737	−	0.931111i
$126$	0.348041	−	0.762104i	0.0310060	−	0.0678936i
$127$	−16.4027	−	7.49084i	−1.45550	−	0.664705i	−0.478528	−	0.878072i	$-0.658830\pi$
$127$	−16.4027	−	7.49084i	−1.45550	−	0.664705i	−0.976972	+	0.213368i	$0.931557\pi$
$128$	−0.989821	−	0.142315i	−0.0874887	−	0.0125790i
$129$	−0.871965	+	0.560378i	−0.0767722	+	0.0493385i
$130$	−7.80971	−	2.96145i	−0.684956	−	0.259737i
$131$	−0.239081	−	1.66284i	−0.0208886	−	0.145283i	0.976708	−	0.214573i	$-0.0688359\pi$
$131$	−0.239081	−	1.66284i	−0.0208886	−	0.145283i	−0.997597	+	0.0692895i	$0.977927\pi$
$132$	−0.481162	+	0.416929i	−0.0418798	+	0.0362890i
$133$	−0.633838	+	0.986271i	−0.0549607	+	0.0855205i
$134$	−5.97747	+	6.89837i	−0.516375	+	0.595929i
$135$	0.354158	+	1.67186i	0.0304811	+	0.143890i
$136$	3.19005	+	6.98524i	0.273545	+	0.598980i
$137$		−	0.809274i		−	0.0691410i	−0.999402	−	0.0345705i	$-0.988994\pi$
$137$		−	0.809274i		−	0.0691410i	0.999402	−	0.0345705i	$-0.0110063\pi$
$138$	0.531227	−	0.304983i	0.0452210	−	0.0259619i
$139$	14.9861			1.27111			0.635554	−	0.772057i	$-0.280772\pi$
$139$	14.9861			1.27111			0.635554	+	0.772057i	$0.280772\pi$
$140$	−0.589484	+	0.216214i	−0.0498205	+	0.0182734i
$141$	−0.733632	+	0.215414i	−0.0617830	+	0.0181411i
$142$	−2.85966	−	2.47791i	−0.239977	−	0.207941i
$143$	10.0663	−	15.6634i	0.841784	−	1.30984i
$144$	−1.95390	−	2.25492i	−0.162825	−	0.187910i
$145$	0.345525	+	5.23163i	0.0286943	+	0.434463i
$146$	9.77718	+	2.87084i	0.809166	+	0.237592i
$147$	0.477930	+	0.743673i	0.0394190	+	0.0613372i
$148$	8.34850	+	1.20033i	0.686243	+	0.0986668i
$149$	4.53178	−	9.92321i	0.371258	−	0.812941i	−0.628135	−	0.778104i	$-0.716182\pi$
$149$	4.53178	−	9.92321i	0.371258	−	0.812941i	0.999393	−	0.0348367i	$-0.0110911\pi$
$150$	0.351103	−	0.533451i	0.0286675	−	0.0435561i
$151$	−1.99528	+	13.8775i	−0.162374	+	1.12933i	0.731770	+	0.681552i	$0.238695\pi$
$151$	−1.99528	+	13.8775i	−0.162374	+	1.12933i	−0.894143	+	0.447781i	$0.852214\pi$
$152$	2.25727	+	3.51237i	0.183088	+	0.284891i
$153$	−6.45514	+	21.9842i	−0.521868	+	1.77732i
$154$	−0.199197	−	1.38544i	−0.0160517	−	0.111642i
$155$	−4.42126	−	5.97371i	−0.355124	−	0.479820i
$156$	−0.401354	−	0.257934i	−0.0321340	−	0.0206513i
$157$	−2.38154	−	2.06362i	−0.190068	−	0.164695i	0.554629	−	0.832098i	$-0.312860\pi$
$157$	−2.38154	−	2.06362i	−0.190068	−	0.164695i	−0.744696	+	0.667403i	$0.767406\pi$
$158$	−1.36038	−	4.63304i	−0.108226	−	0.368585i
$159$	−0.565805	−	1.23894i	−0.0448713	−	0.0982543i
$160$	−0.171673	+	2.22947i	−0.0135719	+	0.176255i
$161$	−0.0673495	+	1.34498i	−0.00530788	+	0.105999i
$162$		−	8.85344i		−	0.695592i
$163$	10.4484	−	4.77165i	0.818386	−	0.373744i	0.0381828	−	0.999271i	$-0.487843\pi$
$163$	10.4484	−	4.77165i	0.818386	−	0.373744i	0.780203	+	0.625527i	$0.215116\pi$
$164$	1.54110	−	0.452507i	0.120339	−	0.0353348i
$165$	1.00116	+	1.01213i	0.0779402	+	0.0787945i
$166$	−10.6381	−	6.83669i	−0.825677	−	0.530630i
$167$	10.4103	−	9.02060i	0.805575	−	0.698035i	−0.151315	−	0.988486i	$-0.548351\pi$
$167$	10.4103	−	9.02060i	0.805575	−	0.698035i	0.956890	+	0.290451i	$0.0938052\pi$
$168$	−0.0355001	+	0.00510414i	−0.00273889	+	0.000393793i
$169$	0.913765	+	0.268306i	0.0702896	+	0.0206389i
$170$	15.1154	−	8.14702i	1.15930	−	0.624848i
$171$	−1.77287	+	12.3306i	−0.135575	+	0.942944i
$172$	−7.38178	−	3.37114i	−0.562855	−	0.257047i
$173$	−5.24943	−	2.39734i	−0.399107	−	0.182266i	0.205742	−	0.978606i	$-0.434039\pi$
$173$	−5.24943	−	2.39734i	−0.399107	−	0.182266i	−0.604849	+	0.796340i	$0.706767\pi$
$174$	−0.0426211	+	0.296436i	−0.00323110	+	0.0224728i
$175$	0.569285	+	1.28340i	0.0430339	+	0.0970159i
$176$	−4.78276	−	1.40434i	−0.360514	−	0.105856i
$177$	1.29765	−	0.186574i	0.0975374	−	0.0140238i
$178$	−4.22656	+	3.66234i	−0.316794	+	0.274504i
$179$	−6.13268	−	3.94123i	−0.458378	−	0.294582i	0.291001	−	0.956723i	$-0.406012\pi$
$179$	−6.13268	−	3.94123i	−0.458378	−	0.294582i	−0.749379	+	0.662141i	$0.769648\pi$
$180$	−4.74326	+	4.69184i	−0.353542	+	0.349709i
$181$	−6.47102	+	1.90006i	−0.480987	+	0.141231i	−0.513233	−	0.858249i	$-0.671552\pi$
$181$	−6.47102	+	1.90006i	−0.480987	+	0.141231i	0.0322457	+	0.999480i	$0.489734\pi$
$182$	0.954080	−	0.435714i	0.0707211	−	0.0322972i
$183$		−	1.38561i		−	0.102427i
$184$	4.25735	+	2.20794i	0.313856	+	0.162772i
$185$	1.44795	−	18.8041i	0.106455	−	1.38251i
$186$	−0.176349	−	0.386150i	−0.0129305	−	0.0283139i
$187$	10.7842	+	36.7277i	0.788621	+	2.68580i
$188$	−4.52416	−	3.92020i	−0.329958	−	0.285910i
$189$	−0.180538	−	0.116025i	−0.0131322	−	0.00843955i
$190$	7.50420	−	5.55401i	0.544412	−	0.402930i
$191$	−1.27458	−	8.86490i	−0.0922254	−	0.641442i	−0.982534	−	0.186084i	$-0.940420\pi$
$191$	−1.27458	−	8.86490i	−0.0922254	−	0.641442i	0.890309	−	0.455358i	$-0.150489\pi$
$192$	−0.0359844	+	0.122552i	−0.00259695	+	0.00884440i
$193$	−1.38166	−	2.14990i	−0.0994540	−	0.154753i	0.787960	−	0.615726i	$-0.211137\pi$
$193$	−1.38166	−	2.14990i	−0.0994540	−	0.154753i	−0.887415	+	0.460972i	$0.847501\pi$
$194$	−0.649171	+	4.51508i	−0.0466077	+	0.324164i
$195$	−0.516361	+	0.933513i	−0.0369774	+	0.0668503i
$196$	−2.87515	+	6.29570i	−0.205368	+	0.449693i
$197$	−6.50936	−	0.935904i	−0.463773	−	0.0666804i	−0.0935319	−	0.995616i	$-0.529816\pi$
$197$	−6.50936	−	0.935904i	−0.463773	−	0.0666804i	−0.370241	+	0.928936i	$0.620725\pi$
$198$	−8.04079	−	12.5117i	−0.571434	−	0.889168i
$199$	8.55843	+	2.51298i	0.606691	+	0.178140i	0.570627	−	0.821209i	$-0.306700\pi$
$199$	8.55843	+	2.51298i	0.606691	+	0.178140i	0.0360633	+	0.999350i	$0.488518\pi$
$200$	4.99970	+	0.0545014i	0.353532	+	0.00385383i
$201$	0.763475	+	0.881097i	0.0538514	+	0.0621478i
$202$	1.04062	−	1.61923i	0.0732175	−	0.113929i
$203$	−0.497589	−	0.431163i	−0.0349239	−	0.0302617i
$204$	0.941097	−	0.276331i	0.0658900	−	0.0193470i
$205$	−1.23673	−	3.37182i	−0.0863772	−	0.235498i
$206$	−15.1328			−1.05435
$207$	5.28588	+	13.2972i	0.367394	+	0.924216i
$208$		−	3.73528i		−	0.258995i
$209$	8.64555	+	18.9311i	0.598025	+	1.30949i
$210$	0.0166197	+	0.0784559i	0.00114687	+	0.00541397i
$211$	−9.02200	+	10.4119i	−0.621100	+	0.716788i	−0.975916	−	0.218149i	$-0.929998\pi$
$211$	−9.02200	+	10.4119i	−0.621100	+	0.716788i	0.354815	+	0.934936i	$0.384544\pi$
$212$	5.76523	−	8.97087i	0.395957	−	0.616122i
$213$	−0.365251	+	0.316492i	−0.0250266	+	0.0216856i
$214$	1.01201	+	7.03865i	0.0691793	+	0.481152i
$215$	−6.43394	+	16.9670i	−0.438791	+	1.15714i
$216$	−0.642943	+	0.413195i	−0.0437468	+	0.0281143i
$217$	0.923774	+	0.132819i	0.0627098	+	0.00901631i
$218$	9.67531	+	4.41856i	0.655294	+	0.299263i
$219$	0.540669	−	1.18390i	0.0365350	−	0.0800005i
$220$	−2.42859	+	10.8783i	−0.163736	+	0.733412i
$221$	−24.1305	+	15.5077i	−1.62319	+	1.04316i
$222$	0.303505	−	1.03364i	0.0203699	−	0.0693736i
$223$	−0.341892	+	0.0491567i	−0.0228948	+	0.00329177i	−0.153753	−	0.988109i	$-0.549136\pi$
$223$	−0.341892	+	0.0491567i	−0.0228948	+	0.00329177i	0.130858	+	0.991401i	$0.458227\pi$
$224$	−0.183884	−	0.212214i	−0.0122863	−	0.0141791i
$225$	11.1674	+	9.89181i	0.744496	+	0.659454i
$226$	−8.14180	+	9.39614i	−0.541584	+	0.625022i
$227$	−2.18901	−	7.45510i	−0.145290	−	0.494812i	0.854402	−	0.519612i	$-0.173923\pi$
$227$	−2.18901	−	7.45510i	−0.145290	−	0.494812i	−0.999692	+	0.0247995i	$0.992105\pi$
$228$	0.485083	−	0.221530i	0.0321254	−	0.0146712i
$229$	−7.14024			−0.471841			−0.235920	−	0.971772i	$-0.575810\pi$
$229$	−7.14024			−0.471841			−0.235920	+	0.971772i	$0.575810\pi$
$230$	4.29901	−	9.82438i	0.283468	−	0.647801i
$231$	−0.178776			−0.0117626
$232$	−2.13286	+	0.974046i	−0.140029	+	0.0639493i
$233$	2.52146	+	8.58730i	0.165186	+	0.562573i	0.999929	+	0.0119323i	$0.00379827\pi$
$233$	2.52146	+	8.58730i	0.165186	+	0.562573i	−0.834743	+	0.550640i	$0.814384\pi$
$234$	7.29837	−	8.42276i	0.477109	−	0.550613i
$235$	−8.08010	+	10.6720i	−0.527088	+	0.696165i
$236$	6.72160	+	7.75714i	0.437539	+	0.504947i
$237$	−0.610461	+	0.0877711i	−0.0396537	+	0.00570134i
$238$	−0.607503	+	2.06896i	−0.0393786	+	0.134111i
$239$	−16.1199	+	10.3596i	−1.04271	+	0.670107i	−0.945655	−	0.325172i	$-0.894578\pi$
$239$	−16.1199	+	10.3596i	−1.04271	+	0.670107i	−0.0970521	+	0.995279i	$0.530941\pi$
$240$	0.278741	+	0.0622293i	0.0179926	+	0.00401688i
$241$	−6.46276	+	14.1515i	−0.416303	+	0.911576i	0.579051	+	0.815291i	$0.303423\pi$
$241$	−6.46276	+	14.1515i	−0.416303	+	0.911576i	−0.995354	+	0.0962849i	$0.969304\pi$
$242$	−12.5956	−	5.75223i	−0.809677	−	0.369767i
$243$	−3.38877	−	0.487231i	−0.217389	−	0.0312559i
$244$	9.12624	−	5.86508i	0.584248	−	0.375473i
$245$	14.4707	+	5.48732i	0.924499	+	0.350572i
$246$	−0.0291954	−	0.203059i	−0.00186143	−	0.0129466i
$247$	−11.7862	+	10.2128i	−0.749940	+	0.649827i
$248$	1.79689	−	2.79602i	0.114103	−	0.177547i
$249$	−1.05770	+	1.22065i	−0.0670291	+	0.0773557i
$250$	−0.615157	−	11.1634i	−0.0389059	−	0.706036i
$251$	−8.44330	−	18.4883i	−0.532937	−	1.16697i	−0.964305	−	0.264793i	$-0.914697\pi$
$251$	−8.44330	−	18.4883i	−0.532937	−	1.16697i	0.431369	−	0.902176i	$-0.358031\pi$
$252$		−	0.837816i		−	0.0527774i
$253$	19.4392	+	13.9140i	1.22213	+	0.874764i
$254$	−18.0322			−1.13144
$255$	−0.755233	−	2.05906i	−0.0472945	−	0.128944i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	−11.5971	−	10.0489i	−0.723405	−	0.626834i	0.213286	−	0.976990i	$-0.431583\pi$
$257$	−11.5971	−	10.0489i	−0.723405	−	0.626834i	−0.936692	+	0.350155i	$0.886129\pi$
$258$	−0.560378	+	0.871965i	−0.0348876	+	0.0542862i
$259$	1.55094	+	1.78989i	0.0963710	+	0.111218i
$260$	−8.33419	+	0.550435i	−0.516865	+	0.0341365i
$261$	−6.71262	−	1.97100i	−0.415501	−	0.122002i
$262$	−0.908245	−	1.41326i	−0.0561116	−	0.0873113i
$263$	14.7581	+	2.12189i	0.910024	+	0.130842i	0.581399	−	0.813619i	$-0.302506\pi$
$263$	14.7581	+	2.12189i	0.910024	+	0.130842i	0.328625	+	0.944460i	$0.393415\pi$
$264$	−0.264482	+	0.579134i	−0.0162777	+	0.0356432i
$265$	−20.8654	−	11.5415i	−1.28175	−	0.708986i
$266$	−0.166847	+	1.16045i	−0.0102301	+	0.0711517i
$267$	0.386185	+	0.600916i	0.0236341	+	0.0367754i
$268$	−2.57161	+	8.75811i	−0.157086	+	0.534987i
$269$	−1.18916	−	8.27078i	−0.0725043	−	0.504279i	−0.993421	−	0.114519i	$-0.963467\pi$
$269$	−1.18916	−	8.27078i	−0.0725043	−	0.504279i	0.920917	−	0.389759i	$-0.127442\pi$
$270$	1.01667	+	1.37365i	0.0618724	+	0.0835977i
$271$	1.99805	+	1.28407i	0.121373	+	0.0780015i	0.599919	−	0.800061i	$-0.295200\pi$
$271$	1.99805	+	1.28407i	0.121373	+	0.0780015i	−0.478546	+	0.878063i	$0.658836\pi$
$272$	5.80355	+	5.02880i	0.351892	+	0.304916i
$273$	−0.0377427	−	0.128540i	−0.00228429	−	0.00777959i
$274$	−0.336185	−	0.736142i	−0.0203097	−	0.0444720i
$275$	24.6295	+	3.81566i	1.48522	+	0.230093i
$276$	0.356526	−	0.498102i	0.0214604	−	0.0299822i
$277$		−	9.82954i		−	0.590600i	−0.955405	−	0.295300i	$-0.904580\pi$
$277$		−	9.82954i		−	0.590600i	0.955405	−	0.295300i	$-0.0954196\pi$
$278$	13.6319	−	6.22546i	0.817585	−	0.373379i
$279$	9.51499	−	2.79385i	0.569647	−	0.167264i
$280$	−0.446395	+	0.441556i	−0.0266772	+	0.0263880i
$281$	14.1872	+	9.11754i	0.846336	+	0.543907i	0.890430	−	0.455120i	$-0.150404\pi$
$281$	14.1872	+	9.11754i	0.846336	+	0.543907i	−0.0440942	+	0.999027i	$0.514040\pi$
$282$	−0.577849	+	0.500709i	−0.0344104	+	0.0298168i
$283$	3.63199	−	0.522201i	0.215899	−	0.0310416i	−0.0335164	−	0.999438i	$-0.510671\pi$
$283$	3.63199	−	0.522201i	0.215899	−	0.0310416i	0.249416	+	0.968397i	$0.419762\pi$
$284$	−3.63060	−	1.06604i	−0.215436	−	0.0632578i
$285$	−0.565762	−	1.04968i	−0.0335128	−	0.0621775i
$286$	2.64978	−	18.4296i	0.156685	−	1.08977i
$287$	0.410251	+	0.187355i	0.0242163	+	0.0110592i
$288$	−2.71406	−	1.23947i	−0.159927	−	0.0730364i
$289$	5.97296	−	41.5429i	0.351351	−	2.44370i
$290$	2.48760	+	4.61532i	0.146077	+	0.271021i
$291$	0.559020	+	0.164143i	0.0327703	+	0.00962224i
$292$	10.0862	−	1.45018i	0.590252	−	0.0848654i
$293$	−12.8772	+	11.1581i	−0.752293	+	0.651866i	−0.944134	−	0.329560i	$-0.893099\pi$
$293$	−12.8772	+	11.1581i	−0.752293	+	0.651866i	0.191842	+	0.981426i	$0.438554\pi$
$294$	0.743673	+	0.477930i	0.0433719	+	0.0278734i
$295$	16.3173	−	16.1404i	0.950030	−	0.939730i
$296$	8.09270	−	2.37623i	0.470379	−	0.138116i
$297$	−3.46536	+	1.58258i	−0.201080	+	0.0918303i
$298$		−	10.9090i		−	0.631943i
$299$	−5.90020	+	16.9142i	−0.341217	+	0.978176i
$300$	0.0977710	−	0.631098i	0.00564481	−	0.0364365i
$301$	−0.946614	−	2.07279i	−0.0545619	−	0.119474i
$302$	3.94994	+	13.4523i	0.227294	+	0.774091i
$303$	−0.185796	−	0.160993i	−0.0106737	−	0.00924882i
$304$	3.51237	+	2.25727i	0.201448	+	0.129463i
$305$	−14.4311	−	19.4983i	−0.826320	−	1.11647i
$306$	3.26076	+	22.6791i	0.186405	+	1.29648i
$307$	0.588388	−	2.00387i	0.0335811	−	0.114367i	−0.940997	−	0.338415i	$-0.890109\pi$
$307$	0.588388	−	2.00387i	0.0335811	−	0.114367i	0.974578	+	0.224048i	$0.0719274\pi$
$308$	−0.756730	−	1.17749i	−0.0431187	−	0.0670940i
$309$	−0.275072	+	1.91317i	−0.0156483	+	0.108836i
$310$	−6.50329	−	3.59722i	−0.369362	−	0.204308i
$311$	−5.77456	+	12.6445i	−0.327445	+	0.717005i	−0.999729	−	0.0232890i	$-0.992586\pi$
$311$	−5.77456	+	12.6445i	−0.327445	+	0.717005i	0.672284	+	0.740294i	$0.265313\pi$
$312$	−0.472234	−	0.0678970i	−0.0267350	−	0.00384391i
$313$	−5.59660	−	8.70847i	−0.316338	−	0.492232i	0.646277	−	0.763103i	$-0.276325\pi$
$313$	−5.59660	−	8.70847i	−0.316338	−	0.492232i	−0.962616	+	0.270870i	$0.912689\pi$
$314$	−3.02358	−	0.887804i	−0.170631	−	0.0501017i
$315$	−1.86934	+	0.123461i	−0.105325	+	0.00695626i
$316$	−3.16208	−	3.64924i	−0.177881	−	0.205286i
$317$	0.919290	−	1.43044i	0.0516325	−	0.0803417i	−0.814478	−	0.580195i	$-0.802976\pi$
$317$	0.919290	−	1.43044i	0.0516325	−	0.0803417i	0.866110	+	0.499853i	$0.166613\pi$
$318$	−1.02935	−	0.891936i	−0.0577230	−	0.0500173i
$319$	−11.2144	+	3.29284i	−0.627885	+	0.184364i
$320$	0.769995	+	2.09931i	0.0430441	+	0.117355i
$321$	0.908259			0.0506941
$322$	0.497461	+	1.25141i	0.0277224	+	0.0697386i
$323$		−	32.0619i		−	1.78397i
$324$	−3.67785	−	8.05337i	−0.204325	−	0.447410i
$325$	2.45627	+	18.5142i	0.136249	+	1.02698i
$326$	7.52203	−	8.68088i	0.416607	−	0.480790i
$327$	0.734488	−	1.14289i	0.0406173	−	0.0632017i
$328$	1.21385	−	1.05181i	0.0670238	−	0.0580764i
$329$	−0.239224	−	1.66384i	−0.0131889	−	0.0917306i
$330$	1.33114	+	0.504772i	0.0732770	+	0.0277868i
$331$	−1.82523	+	1.17300i	−0.100324	+	0.0644741i	−0.589841	−	0.807520i	$-0.700809\pi$
$331$	−1.82523	+	1.17300i	−0.100324	+	0.0644741i	0.489517	+	0.871994i	$0.337173\pi$
$332$	−12.5168	−	1.79965i	−0.686950	−	0.0987685i
$333$	22.8913	+	10.4541i	1.25444	+	0.572882i
$334$	5.72228	−	12.5300i	0.313109	−	0.685613i
$335$	19.9201	+	4.44720i	1.08835	+	0.242976i
$336$	−0.0301717	+	0.0193902i	−0.00164600	+	0.00105782i
$337$	4.43691	−	15.1107i	0.241694	−	0.823134i	−0.745894	−	0.666065i	$-0.767977\pi$
$337$	4.43691	−	15.1107i	0.241694	−	0.823134i	0.987588	−	0.157069i	$-0.0502046\pi$
$338$	0.942648	−	0.135532i	0.0512733	−	0.00737199i
$339$	1.03991	+	1.20012i	0.0564804	+	0.0651818i
$340$	10.3651	−	13.6900i	0.562126	−	0.742443i
$341$	10.8492	−	12.5207i	0.587518	−	0.678032i
$342$	3.50965	+	11.9528i	0.189780	+	0.646332i
$343$	−3.55579	+	1.62388i	−0.191995	+	0.0876811i
$344$	−8.11512			−0.437538
$345$	−1.16391	−	0.722083i	−0.0626626	−	0.0388757i
$346$	−5.77094			−0.310248
$347$	7.23170	−	3.30261i	0.388218	−	0.177293i	−0.211738	−	0.977327i	$-0.567912\pi$
$347$	7.23170	−	3.30261i	0.388218	−	0.177293i	0.599956	+	0.800033i	$0.295185\pi$
$348$	0.0843745	+	0.287353i	0.00452295	+	0.0154037i
$349$	8.39969	−	9.69375i	0.449625	−	0.518895i	−0.485008	−	0.874510i	$-0.661183\pi$
$349$	8.39969	−	9.69375i	0.449625	−	0.518895i	0.934632	+	0.355615i	$0.115729\pi$
$350$	1.05098	+	0.930932i	0.0561774	+	0.0497604i
$351$	−1.86947	−	2.15748i	−0.0997849	−	0.115158i
$352$	−4.93393	+	0.709393i	−0.262980	+	0.0378108i
$353$	−2.41739	+	8.23286i	−0.128665	+	0.438191i	−0.998476	−	0.0551937i	$-0.982422\pi$
$353$	−2.41739	+	8.23286i	−0.128665	+	0.438191i	0.869811	+	0.493385i	$0.164241\pi$
$354$	1.10288	−	0.708777i	0.0586174	−	0.0376711i
$355$	−1.84355	+	8.25770i	−0.0978453	+	0.438273i
$356$	−2.32323	+	5.08716i	−0.123131	+	0.269619i
$357$	0.250527	+	0.114412i	0.0132593	+	0.00605531i
$358$	−7.21573	−	1.03747i	−0.381363	−	0.0548318i
$359$	23.6966	−	15.2289i	1.25066	−	0.803749i	0.263681	−	0.964610i	$-0.415063\pi$
$359$	23.6966	−	15.2289i	1.25066	−	0.803749i	0.986977	+	0.160861i	$0.0514271\pi$
$360$	−2.36556	+	6.23827i	−0.124676	+	0.328786i
$361$	0.223148	+	1.55203i	0.0117447	+	0.0816858i
$362$	−5.09693	+	4.41652i	−0.267889	+	0.232127i
$363$	−0.956180	+	1.48785i	−0.0501864	+	0.0780916i
$364$	0.686860	−	0.792678i	0.0360012	−	0.0415476i
$365$	−4.72197	−	22.2908i	−0.247159	−	1.16675i
$366$	−0.575605	−	1.26040i	−0.0300873	−	0.0658821i
$367$			7.72825i			0.403411i	0.979446	+	0.201706i	$0.0646484\pi$
$367$			7.72825i			0.403411i	−0.979446	+	0.201706i	$0.935352\pi$
$368$	4.78983	+	0.239849i	0.249687	+	0.0125030i
$369$	4.79227			0.249476
$370$	−6.49441	−	17.7063i	−0.337628	−	0.920508i
$371$	2.87306	−	0.843607i	0.149162	−	0.0437979i
$372$	−0.320825	−	0.277996i	−0.0166340	−	0.0144134i
$373$	10.5439	−	16.4067i	0.545944	−	0.849505i	−0.453177	−	0.891420i	$-0.649710\pi$
$373$	10.5439	−	16.4067i	0.545944	−	0.849505i	0.999121	+	0.0419151i	$0.0133459\pi$
$374$	25.0669	+	28.9288i	1.29618	+	1.49587i
$375$	−1.42252	−	0.125148i	−0.0734585	−	0.00646262i
$376$	−5.74383	−	1.68654i	−0.296215	−	0.0869767i
$377$	−4.73511	−	7.36797i	−0.243870	−	0.379470i
$378$	−0.212421	−	0.0305416i	−0.0109258	−	0.00157089i
$379$	10.7155	−	23.4636i	0.550417	−	1.20525i	−0.406169	−	0.913798i	$-0.633136\pi$
$379$	10.7155	−	23.4636i	0.550417	−	1.20525i	0.956587	−	0.291448i	$-0.0941371\pi$
$380$	4.51884	−	8.16946i	0.231812	−	0.419085i
$381$	−0.327775	+	2.27972i	−0.0167924	+	0.116794i
$382$	−4.84201	−	7.53432i	−0.247739	−	0.385489i
$383$	−6.97756	+	23.7634i	−0.356537	+	1.21425i	0.564715	+	0.825286i	$0.308986\pi$
$383$	−6.97756	+	23.7634i	−0.356537	+	1.21425i	−0.921252	+	0.388966i	$0.872832\pi$
$384$	0.0181772	+	0.126425i	0.000927602	+	0.00645161i
$385$	−2.51572	+	1.86194i	−0.128213	+	0.0948931i
$386$	−2.14990	−	1.38166i	−0.109427	−	0.0703246i
$387$	−18.2990	−	15.8561i	−0.930188	−	0.806012i
$388$	1.28513	+	4.37674i	0.0652424	+	0.222195i
$389$	15.0325	+	32.9167i	0.762180	+	1.66894i	0.743153	+	0.669122i	$0.233330\pi$
$389$	15.0325	+	32.9167i	0.762180	+	1.66894i	0.0190271	+	0.999819i	$0.493943\pi$
$390$	−0.0819035	+	1.06366i	−0.00414734	+	0.0538604i
$391$	−18.3364	−	31.9388i	−0.927312	−	1.61521i
$392$			6.92115i			0.349571i
$393$	−0.195181	+	0.0891361i	−0.00984557	+	0.00449632i
$394$	−6.30991	+	1.85276i	−0.317889	+	0.0933405i
$395$	−7.67624	+	7.59301i	−0.386233	+	0.382046i
$396$	−12.5117	−	8.04079i	−0.628737	−	0.404065i
$397$	3.78090	−	3.27617i	0.189758	−	0.164426i	−0.554801	−	0.831983i	$-0.687205\pi$
$397$	3.78090	−	3.27617i	0.189758	−	0.164426i	0.744559	+	0.667557i	$0.232660\pi$
$398$	8.82895	−	1.26941i	0.442555	−	0.0636298i
$399$	0.143677	+	0.0421874i	0.00719286	+	0.00211201i
$400$	4.57053	−	2.02738i	0.228527	−	0.101369i
$401$	0.918153	−	6.38589i	0.0458504	−	0.318896i	−0.953969	−	0.299904i	$-0.903045\pi$
$401$	0.918153	−	6.38589i	0.0458504	−	0.318896i	0.999820	−	0.0189919i	$-0.00604568\pi$
$402$	1.06050	+	0.484315i	0.0528930	+	0.0241554i
$403$	11.2928	+	5.15726i	0.562536	+	0.256901i
$404$	0.273925	−	1.90519i	0.0136283	−	0.0947868i
$405$	−17.4268	+	9.39280i	−0.865943	+	0.466732i
$406$	−0.631734	−	0.185494i	−0.0313525	−	0.00920591i
$407$	41.6145	−	5.98327i	2.06276	−	0.296580i
$408$	0.741260	−	0.642306i	0.0366978	−	0.0317989i
$409$	−10.3948	−	6.68035i	−0.513991	−	0.330322i	0.257800	−	0.966198i	$-0.417003\pi$
$409$	−10.3948	−	6.68035i	−0.513991	−	0.330322i	−0.771791	+	0.635876i	$0.780639\pi$
$410$	−2.52568	−	2.55336i	−0.124734	−	0.126101i
$411$	−0.0991778	+	0.0291212i	−0.00489208	+	0.00143644i
$412$	−13.7653	+	6.28640i	−0.678167	+	0.309709i
$413$			2.88217i			0.141822i
$414$	10.3320	+	9.89969i	0.507792	+	0.486543i
$415$	−2.17090	+	28.1928i	−0.106565	+	1.38393i
$416$	−1.55169	−	3.39773i	−0.0760780	−	0.166588i
$417$	−0.539267	−	1.83657i	−0.0264080	−	0.0899374i
$418$	15.7285	+	13.6288i	0.769307	+	0.666609i
$419$	−14.1760	−	9.11038i	−0.692544	−	0.445071i	0.146445	−	0.989219i	$-0.453217\pi$
$419$	−14.1760	−	9.11038i	−0.692544	−	0.445071i	−0.838989	+	0.544148i	$0.816853\pi$
$420$	0.0477096	+	0.0644619i	0.00232799	+	0.00314542i
$421$	−2.79809	−	19.4611i	−0.136371	−	0.948478i	−0.937003	−	0.349322i	$-0.886412\pi$
$421$	−2.79809	−	19.4611i	−0.136371	−	0.948478i	0.800632	−	0.599156i	$-0.204497\pi$
$422$	−3.88142	+	13.2189i	−0.188945	+	0.643486i
$423$	−9.65654	−	15.0259i	−0.469517	−	0.730583i
$424$	1.51760	−	10.5552i	0.0737012	−	0.512603i
$425$	−32.0726	−	21.1093i	−1.55575	−	1.02395i
$426$	−0.200768	+	0.439621i	−0.00972726	+	0.0212997i
$427$	3.01521	+	0.433522i	0.145916	+	0.0209796i
$428$	3.84451	+	5.98218i	0.185832	+	0.289160i
$429$	−2.28181	−	0.669999i	−0.110167	−	0.0323478i
$430$	1.19585	+	18.1065i	0.0576691	+	0.873174i
$431$	16.5280	+	19.0744i	0.796127	+	0.918780i	0.998162	−	0.0605987i	$-0.0193010\pi$
$431$	16.5280	+	19.0744i	0.796127	+	0.918780i	−0.202035	+	0.979378i	$0.564756\pi$
$432$	−0.413195	+	0.642943i	−0.0198798	+	0.0309336i
$433$	−15.8328	−	13.7192i	−0.760877	−	0.659304i	0.185399	−	0.982663i	$-0.440642\pi$
$433$	−15.8328	−	13.7192i	−0.760877	−	0.659304i	−0.946276	+	0.323360i	$0.895188\pi$
$434$	0.895469	−	0.262933i	0.0429839	−	0.0126212i
$435$	0.628711	−	0.230602i	0.0301444	−	0.0110565i
$436$	10.6365			0.509396
$437$	−12.3393	−	15.7695i	−0.590269	−	0.754358i
$438$		−	1.30151i		−	0.0621888i
$439$	2.96603	+	6.49469i	0.141561	+	0.309975i	0.967111	−	0.254353i	$-0.0818626\pi$
$439$	2.96603	+	6.49469i	0.141561	+	0.309975i	−0.825551	+	0.564328i	$0.809135\pi$
$440$	2.30987	+	10.9041i	0.110119	+	0.519832i
$441$	−13.5232	+	15.6066i	−0.643963	+	0.743173i
$442$	−15.5077	+	24.1305i	−0.737627	+	1.14777i
$443$	−26.6438	+	23.0870i	−1.26588	+	1.09689i	−0.275103	+	0.961415i	$0.588712\pi$
$443$	−26.6438	+	23.0870i	−1.26588	+	1.09689i	−0.990780	+	0.135479i	$0.956743\pi$
$444$	−0.153313	−	1.06632i	−0.00727591	−	0.0506051i
$445$	11.6929	+	4.43395i	0.554295	+	0.210190i
$446$	−0.290576	+	0.186742i	−0.0137591	+	0.00884247i
$447$	−1.37918	−	0.198296i	−0.0652329	−	0.00937907i
$448$	−0.255424	−	0.116648i	−0.0120676	−	0.00551110i
$449$	−14.0161	+	30.6909i	−0.661460	+	1.44839i	0.219696	+	0.975568i	$0.429493\pi$
$449$	−14.0161	+	30.6909i	−0.661460	+	1.44839i	−0.881156	+	0.472826i	$0.843234\pi$
$450$	14.2675	+	4.35879i	0.672575	+	0.205475i
$451$	6.73521	−	4.32846i	0.317149	−	0.203819i
$452$	−3.50274	+	11.9292i	−0.164755	+	0.561105i
$453$	1.77251	−	0.254848i	0.0832796	−	0.0119738i
$454$	−5.08816	−	5.87205i	−0.238799	−	0.275589i
$455$	−1.86985	−	1.41572i	−0.0876597	−	0.0663698i
$456$	0.349220	−	0.403022i	0.0163537	−	0.0188732i
$457$	−1.02884	−	3.50389i	−0.0481269	−	0.163905i	0.931923	−	0.362656i	$-0.118130\pi$
$457$	−1.02884	−	3.50389i	−0.0481269	−	0.163905i	−0.980050	+	0.198750i	$0.936312\pi$
$458$	−6.49499	+	2.96616i	−0.303491	+	0.138600i
$459$	5.86897			0.273940
$460$	−0.170680	−	10.7224i	−0.00795798	−	0.499937i
$461$	28.5065			1.32768			0.663839	−	0.747875i	$-0.268926\pi$
$461$	28.5065			1.32768			0.663839	+	0.747875i	$0.268926\pi$
$462$	−0.162620	+	0.0742662i	−0.00756578	+	0.00345518i
$463$	−8.58203	−	29.2277i	−0.398841	−	1.35833i	−0.877184	−	0.480154i	$-0.840581\pi$
$463$	−8.58203	−	29.2277i	−0.398841	−	1.35833i	0.478344	−	0.878173i	$-0.341237\pi$
$464$	−1.53549	+	1.77205i	−0.0712832	+	0.0822652i
$465$	−0.572991	+	0.756793i	−0.0265718	+	0.0350954i
$466$	5.86089	+	6.76383i	0.271501	+	0.313328i
$467$	35.9205	−	5.16459i	1.66220	−	0.238989i	0.753805	−	0.657098i	$-0.228216\pi$
$467$	35.9205	−	5.16459i	1.66220	−	0.238989i	0.908397	+	0.418109i	$0.137307\pi$
$468$	3.13988	−	10.6935i	0.145141	−	0.494306i
$469$	−2.15621	+	1.38571i	−0.0995645	+	0.0639862i
$470$	−2.91660	+	13.0642i	−0.134533	+	0.602607i
$471$	−0.167201	+	0.366120i	−0.00770422	+	0.0168699i
$472$	9.33662	+	4.26389i	0.429753	+	0.196262i
$473$	−40.0395	−	5.75681i	−1.84102	−	0.264698i
$474$	−0.518834	+	0.333434i	−0.0238308	+	0.0153151i
$475$	−18.8937	−	8.87861i	−0.866901	−	0.407378i
$476$	0.306875	+	2.13436i	0.0140656	+	0.0978283i
$477$	24.0458	−	20.8358i	1.10098	−	0.954005i
$478$	−10.3596	+	16.1199i	−0.473837	+	0.737305i
$479$	−16.1276	+	18.6122i	−0.736889	+	0.850415i	−0.993229	−	0.116172i	$-0.962938\pi$
$479$	−16.1276	+	18.6122i	−0.736889	+	0.850415i	0.256340	+	0.966587i	$0.417483\pi$
$480$	0.279402	−	0.0591873i	0.0127529	−	0.00270152i
$481$	13.0875	+	28.6577i	0.596740	+	1.30668i
$482$			15.5574i			0.708618i
$483$	0.167253	−	0.0401445i	0.00761027	−	0.00182664i
$484$	−13.8469			−0.629406
$485$	9.57603	−	3.51234i	0.434825	−	0.159487i
$486$	−3.28493	+	0.964543i	−0.149008	+	0.0437526i
$487$	23.0853	+	20.0035i	1.04610	+	0.906447i	0.995733	−	0.0922838i	$-0.0294167\pi$
$487$	23.0853	+	20.0035i	1.04610	+	0.906447i	0.0503631	+	0.998731i	$0.483962\pi$
$488$	5.86508	−	9.12624i	0.265500	−	0.413126i
$489$	−0.960754	−	1.10877i	−0.0434468	−	0.0501403i
$490$	15.4425	−	1.01991i	0.697622	−	0.0460747i
$491$	−1.21049	−	0.355433i	−0.0546289	−	0.0160405i	0.254304	−	0.967124i	$-0.418154\pi$
$491$	−1.21049	−	0.355433i	−0.0546289	−	0.0160405i	−0.308933	+	0.951084i	$0.599972\pi$
$492$	−0.110911	−	0.172581i	−0.00500024	−	0.00778053i
$493$	17.8226	+	2.56250i	0.802687	+	0.115409i
$494$	−6.47857	+	14.1861i	−0.291485	+	0.638263i
$495$	−16.0969	+	29.1011i	−0.723503	+	1.30800i
$496$	0.473003	−	3.28980i	0.0212384	−	0.147717i
$497$	−0.574434	−	0.893837i	−0.0257669	−	0.0400941i
$498$	−0.455042	+	1.54973i	−0.0203909	+	0.0694451i
$499$	0.500048	+	3.47791i	0.0223852	+	0.155693i	0.997948	−	0.0640277i	$-0.0203946\pi$
$499$	0.500048	+	3.47791i	0.0223852	+	0.155693i	−0.975563	+	0.219720i	$0.929486\pi$
$500$	−5.19701	−	9.89904i	−0.232417	−	0.442699i
$501$	−1.48010	−	0.951201i	−0.0661259	−	0.0424965i
$502$	−15.3606	−	13.3100i	−0.685577	−	0.594056i
$503$	2.11631	+	7.20748i	0.0943615	+	0.321366i	0.993124	−	0.117071i	$-0.0373505\pi$
$503$	2.11631	+	7.20748i	0.0943615	+	0.321366i	−0.898762	+	0.438437i	$0.855532\pi$
$504$	−0.348041	−	0.762104i	−0.0155030	−	0.0339468i
$505$	−4.29124	−	0.330433i	−0.190958	−	0.0147041i
$506$	23.4626	+	4.58127i	1.04304	+	0.203662i
$507$		−	0.121638i		−	0.00540214i
$508$	−16.4027	+	7.49084i	−0.727750	+	0.332352i
$509$	−32.3869	+	9.50966i	−1.43552	+	0.421508i	−0.904727	−	0.425991i	$-0.859926\pi$
$509$	−32.3869	+	9.50966i	−1.43552	+	0.421508i	−0.530797	+	0.847499i	$0.678107\pi$
$510$	−1.54235	−	1.55925i	−0.0682964	−	0.0690449i
$511$	2.40710	+	1.54695i	0.106484	+	0.0684330i
$512$	−0.755750	+	0.654861i	−0.0333997	+	0.0289410i
$513$	3.15847	−	0.454119i	0.139450	−	0.0200498i
$514$	−14.7235	−	4.32322i	−0.649427	−	0.190689i
$515$	16.0547	+	29.7868i	0.707456	+	1.31257i
$516$	−0.147510	+	1.02596i	−0.00649378	+	0.0451652i
$517$	−27.1432	−	12.3959i	−1.19376	−	0.545171i
$518$	2.15433	+	0.983851i	0.0946560	+	0.0432279i
$519$	−0.104900	+	0.729593i	−0.00460458	+	0.0320256i
$520$	−7.35239	+	3.96284i	−0.322424	+	0.173782i
$521$	−35.8966	−	10.5402i	−1.57266	−	0.461774i	−0.624884	−	0.780718i	$-0.714854\pi$
$521$	−35.8966	−	10.5402i	−1.57266	−	0.461774i	−0.947774	+	0.318944i	$0.896672\pi$
$522$	−6.92480	+	0.995636i	−0.303090	+	0.0435778i
$523$	−16.7895	+	14.5482i	−0.734156	+	0.636150i	−0.939503	−	0.342540i	$-0.888713\pi$
$523$	−16.7895	+	14.5482i	−0.734156	+	0.636150i	0.205348	+	0.978689i	$0.434167\pi$
$524$	−1.41326	−	0.908245i	−0.0617384	−	0.0396769i
$525$	0.136797	−	0.115949i	0.00597032	−	0.00506043i
$526$	14.3059	−	4.20059i	0.623767	−	0.183155i
$527$	−23.2164	+	10.6026i	−1.01132	+	0.461855i
$528$			0.636669i			0.0277074i
$529$	−21.3106	−	8.65204i	−0.926548	−	0.376176i
$530$	−23.7744	−	1.83067i	−1.03269	−	0.0795191i
$531$	12.7221	+	27.8575i	0.552093	+	1.20891i
$532$	0.330298	+	1.12489i	0.0143202	+	0.0487703i
$533$	4.53408	+	3.92881i	0.196393	+	0.170175i
$534$	0.600916	+	0.386185i	0.0260042	+	0.0167119i
$535$	12.7810	−	9.45945i	0.552569	−	0.408968i
$536$	1.29903	+	9.03495i	0.0561095	+	0.390250i
$537$	−0.262324	+	0.893392i	−0.0113201	+	0.0385527i
$538$	−4.51751	−	7.02938i	−0.194763	−	0.303058i
$539$	−4.90981	+	34.1485i	−0.211481	+	1.47088i
$540$	1.49543	+	0.827178i	0.0643530	+	0.0355961i
$541$	7.77132	−	17.0168i	0.334115	−	0.731610i	−0.665779	−	0.746149i	$-0.731901\pi$
$541$	7.77132	−	17.0168i	0.334115	−	0.731610i	0.999894	+	0.0145386i	$0.00462794\pi$
$542$	2.35091	+	0.338010i	0.100980	+	0.0145188i
$543$	0.465711	+	0.724661i	0.0199856	+	0.0310982i
$544$	7.36814	+	2.16348i	0.315906	+	0.0927584i
$545$	−1.56740	−	23.7322i	−0.0671403	−	1.01658i
$546$	−0.0877294	−	0.101245i	−0.00375447	−	0.00433289i
$547$	10.4448	−	16.2524i	0.446587	−	0.694903i	−0.542856	−	0.839826i	$-0.682657\pi$
$547$	10.4448	−	16.2524i	0.446587	−	0.694903i	0.989443	+	0.144923i	$0.0462935\pi$
$548$	−0.611609	−	0.529962i	−0.0261266	−	0.0226389i
$549$	31.0570	−	9.11917i	1.32548	−	0.389197i
$550$	23.9889	−	6.76064i	1.02289	−	0.288274i
$551$	9.78974			0.417057
$552$	0.117389	−	0.601196i	0.00499640	−	0.0255886i
$553$		−	1.35587i		−	0.0576577i
$554$	−4.08334	−	8.94126i	−0.173484	−	0.379878i
$555$	−2.35658	+	0.499206i	−0.100031	+	0.0211901i
$556$	9.81383	−	11.3258i	0.416199	−	0.480319i
$557$	−0.377707	+	0.587724i	−0.0160040	+	0.0249027i	−0.849163	−	0.528130i	$-0.822893\pi$
$557$	−0.377707	+	0.587724i	−0.0160040	+	0.0249027i	0.833159	+	0.553033i	$0.186530\pi$
$558$	7.49453	−	6.49405i	0.317269	−	0.274915i
$559$	−4.31389	−	30.0038i	−0.182458	−	1.26902i
$560$	−0.222627	+	0.587093i	−0.00940769	+	0.0248092i
$561$	4.11298	−	2.64325i	0.173650	−	0.111598i
$562$	16.6927	+	2.40004i	0.704138	+	0.101240i
$563$	42.9535	+	19.6162i	1.81027	+	0.826724i	0.946386	+	0.323037i	$0.104704\pi$
$563$	42.9535	+	19.6162i	1.81027	+	0.826724i	0.863886	+	0.503687i	$0.168023\pi$
$564$	−0.317628	+	0.695508i	−0.0133746	+	0.0292862i
$565$	27.1328	+	6.05744i	1.14149	+	0.254838i
$566$	3.08684	−	1.98379i	0.129750	−	0.0833850i
$567$	0.700398	−	2.38534i	0.0294139	−	0.100175i
$568$	−3.74536	+	0.538501i	−0.157152	+	0.0225950i
$569$	9.95551	+	11.4893i	0.417357	+	0.481655i	0.925030	−	0.379894i	$-0.124040\pi$
$569$	9.95551	+	11.4893i	0.417357	+	0.481655i	−0.507673	+	0.861550i	$0.669494\pi$
$570$	−0.950687	−	0.719793i	−0.0398199	−	0.0301488i
$571$	24.3482	−	28.0993i	1.01894	−	1.17592i	0.0346409	−	0.999400i	$-0.488971\pi$
$571$	24.3482	−	28.0993i	1.01894	−	1.17592i	0.984297	−	0.176518i	$-0.0564833\pi$
$572$	−5.24562	−	17.8650i	−0.219331	−	0.746971i
$573$	−1.04054	+	0.475200i	−0.0434693	+	0.0198517i
$574$	0.451007			0.0188247
$575$	−23.8988	+	1.96089i	−0.996651	+	0.0817748i
$576$	−2.98369			−0.124320
$577$	−2.45018	+	1.11896i	−0.102002	+	0.0465829i	−0.465763	−	0.884910i	$-0.654220\pi$
$577$	−2.45018	+	1.11896i	−0.102002	+	0.0465829i	0.363760	+	0.931493i	$0.381493\pi$
$578$	−11.8243	−	40.2700i	−0.491827	−	1.67501i
$579$	−0.213756	+	0.246687i	−0.00888339	+	0.0102520i
$580$	4.18007	+	3.16486i	0.173568	+	0.131414i
$581$	−2.32531	−	2.68356i	−0.0964703	−	0.111333i
$582$	0.576690	−	0.0829155i	0.0239046	−	0.00343696i
$583$	14.9755	−	51.0018i	0.620221	−	2.11228i
$584$	8.57233	−	5.50910i	0.354726	−	0.227968i
$585$	−24.3220	−	5.42993i	−1.00559	−	0.224500i
$586$	−7.07824	+	15.4992i	−0.292399	+	0.640265i
$587$	−2.43392	−	1.11153i	−0.100458	−	0.0458778i	0.364552	−	0.931183i	$-0.381222\pi$
$587$	−2.43392	−	1.11153i	−0.100458	−	0.0458778i	−0.465010	+	0.885305i	$0.653949\pi$
$588$	0.875008	+	0.125807i	0.0360847	+	0.00518820i
$589$	−11.6738	+	7.50232i	−0.481012	+	0.309128i
$590$	8.13777	−	21.4603i	0.335027	−	0.883505i
$591$	0.119539	+	0.831410i	0.00491716	+	0.0341996i
$592$	6.37426	−	5.52333i	0.261980	−	0.227007i
$593$	−6.82295	+	10.6167i	−0.280185	+	0.435976i	−0.952612	−	0.304187i	$-0.901615\pi$
$593$	−6.82295	+	10.6167i	−0.280185	+	0.435976i	0.672428	+	0.740163i	$0.265252\pi$
$594$	−2.49477	+	2.87912i	−0.102362	+	0.118132i
$595$	4.71698	−	0.999223i	0.193377	−	0.0409641i
$596$	−4.53178	−	9.92321i	−0.185629	−	0.406470i
$597$		−	1.13928i		−	0.0466275i
$598$	1.65942	+	17.8368i	0.0678588	+	0.729400i
$599$	16.1949			0.661704			0.330852	−	0.943683i	$-0.392664\pi$
$599$	16.1949			0.661704			0.330852	+	0.943683i	$0.392664\pi$
$600$	−0.173232	−	0.614683i	−0.00707217	−	0.0250943i
$601$	40.2708	−	11.8246i	1.64268	−	0.482334i	0.675698	−	0.737179i	$-0.263843\pi$
$601$	40.2708	−	11.8246i	1.64268	−	0.482334i	0.966982	+	0.254845i	$0.0820243\pi$
$602$	−1.72214	−	1.49224i	−0.0701892	−	0.0608193i
$603$	−14.7242	+	22.9112i	−0.599614	+	0.933018i
$604$	9.18127	+	10.5957i	0.373580	+	0.431135i
$605$	2.04050	+	30.8954i	0.0829580	+	1.25608i
$606$	−0.235885	−	0.0692621i	−0.00958218	−	0.00281358i
$607$	−0.896532	−	1.39503i	−0.0363891	−	0.0566225i	0.822582	−	0.568646i	$-0.192533\pi$
$607$	−0.896532	−	1.39503i	−0.0363891	−	0.0566225i	−0.858972	+	0.512023i	$0.828896\pi$
$608$	4.13267	+	0.594188i	0.167602	+	0.0240975i
$609$	−0.0349343	+	0.0764954i	−0.00141561	+	0.00309975i
$610$	−21.2268	−	11.7414i	−0.859449	−	0.475394i
$611$	3.18224	−	22.1330i	0.128740	−	0.895405i
$612$	12.3873	+	19.2751i	0.500728	+	0.779148i
$613$	−7.58275	+	25.8245i	−0.306264	+	1.04304i	0.652252	+	0.758003i	$0.273825\pi$
$613$	−7.58275	+	25.8245i	−0.306264	+	1.04304i	−0.958516	+	0.285039i	$0.907994\pi$
$614$	−0.297219	−	2.06721i	−0.0119948	−	0.0834257i
$615$	−0.368719	+	0.272897i	−0.0148682	+	0.0110043i
$616$	−1.17749	−	0.756730i	−0.0474426	−	0.0304895i
$617$	26.1497	+	22.6589i	1.05275	+	0.912211i	0.996278	−	0.0861928i	$-0.0274701\pi$
$617$	26.1497	+	22.6589i	1.05275	+	0.912211i	0.0564697	+	0.998404i	$0.482016\pi$
$618$	0.544545	+	1.85455i	0.0219048	+	0.0746009i
$619$	−12.1489	−	26.6024i	−0.488305	−	1.06924i	−0.980096	−	0.198525i	$-0.936385\pi$
$619$	−12.1489	−	26.6024i	−0.488305	−	1.06924i	0.491791	−	0.870713i	$-0.336343\pi$
$620$	−7.40994	−	0.570578i	−0.297590	−	0.0229150i
$621$	2.88663	−	2.25872i	0.115836	−	0.0906394i
$622$			13.9007i			0.557367i
$623$	−1.42847	+	0.652360i	−0.0572304	+	0.0261362i
$624$	−0.457765	+	0.134412i	−0.0183253	+	0.00538078i
$625$	−21.3210	+	13.0543i	−0.852839	+	0.522174i
$626$	−8.70847	−	5.59660i	−0.348061	−	0.223685i
$627$	2.00893	−	1.74075i	0.0802290	−	0.0695188i
$628$	−3.11916	+	0.448467i	−0.124468	+	0.0178958i
$629$	−62.1455	−	18.2476i	−2.47790	−	0.727578i
$630$	−1.64912	+	0.888857i	−0.0657027	+	0.0354129i
$631$	−2.97986	+	20.7254i	−0.118626	+	0.825063i	0.840445	+	0.541897i	$0.182294\pi$
$631$	−2.97986	+	20.7254i	−0.118626	+	0.825063i	−0.959071	+	0.283166i	$0.908615\pi$
$632$	−4.39228	−	2.00589i	−0.174715	−	0.0797899i
$633$	1.60065	+	0.730993i	0.0636202	+	0.0290544i
$634$	0.241988	−	1.68306i	0.00961057	−	0.0668430i
$635$	19.1307	+	35.4939i	0.759180	+	1.40853i
$636$	−1.30685	−	0.383726i	−0.0518200	−	0.0152157i
$637$	−25.5893	+	3.67919i	−1.01389	+	0.145775i
$638$	−8.83307	+	7.65390i	−0.349705	+	0.303021i
$639$	−9.49765	−	6.10377i	−0.375721	−	0.241461i
$640$	1.57250	+	1.58973i	0.0621584	+	0.0628397i
$641$	7.35104	−	2.15846i	0.290349	−	0.0852540i	−0.133315	−	0.991074i	$-0.542562\pi$
$641$	7.35104	−	2.15846i	0.290349	−	0.0852540i	0.423663	+	0.905820i	$0.360744\pi$
$642$	0.826181	−	0.377304i	0.0326068	−	0.0148910i
$643$		−	39.1290i		−	1.54310i	−0.636170	−	0.771549i	$-0.719482\pi$
$643$		−	39.1290i		−	1.54310i	0.636170	−	0.771549i	$-0.280518\pi$
$644$	0.972363	+	0.931673i	0.0383165	+	0.0367131i
$645$	2.31086	+	0.177940i	0.0909900	+	0.00700639i
$646$	−13.3190	−	29.1645i	−0.524029	−	1.14746i
$647$	−6.68277	−	22.7594i	−0.262727	−	0.894766i	−0.980172	−	0.198150i	$-0.936507\pi$
$647$	−6.68277	−	22.7594i	−0.262727	−	0.894766i	0.717445	−	0.696616i	$-0.245312\pi$
$648$	−6.69099	−	5.79777i	−0.262847	−	0.227758i
$649$	43.0415	+	27.6611i	1.68953	+	1.08579i
$650$	9.92537	+	15.8207i	0.389305	+	0.620540i
$651$	−0.0169643	−	0.117989i	−0.000664883	−	0.00462436i
$652$	3.23611	−	11.0212i	0.126736	−	0.431622i
$653$	12.9480	+	20.1475i	0.506695	+	0.788433i	0.996517	−	0.0833895i	$-0.0265746\pi$
$653$	12.9480	+	20.1475i	0.506695	+	0.788433i	−0.489822	+	0.871823i	$0.662938\pi$
$654$	0.193342	−	1.34472i	0.00756027	−	0.0525828i
$655$	−1.81822	+	3.28711i	−0.0710439	+	0.128438i
$656$	0.667222	−	1.46101i	0.0260506	−	0.0570429i
$657$	30.0941	+	4.32688i	1.17408	+	0.168808i
$658$	−0.908791	−	1.41411i	−0.0354284	−	0.0551276i
$659$	25.4360	+	7.46869i	0.990847	+	0.290939i	0.736695	−	0.676225i	$-0.236385\pi$
$659$	25.4360	+	7.46869i	0.990847	+	0.290939i	0.254152	+	0.967164i	$0.418204\pi$
$660$	1.42054	−	0.0938200i	0.0552944	−	0.00365194i
$661$	−1.73503	−	2.00233i	−0.0674849	−	0.0778817i	0.721003	−	0.692932i	$-0.243681\pi$
$661$	−1.73503	−	2.00233i	−0.0674849	−	0.0778817i	−0.788488	+	0.615050i	$0.789136\pi$
$662$	−1.17300	+	1.82523i	−0.0455901	+	0.0709395i
$663$	2.76882	+	2.39919i	0.107532	+	0.0931770i
$664$	−12.1333	+	3.56266i	−0.470863	+	0.138258i
$665$	2.46119	−	0.902729i	0.0954410	−	0.0350063i
$666$	25.1655			0.975142
$667$	9.75215	−	5.59881i	0.377605	−	0.216787i
$668$		−	13.7748i		−	0.532965i
$669$	0.0183270	+	0.0401305i	0.000708563	+	0.00155154i
$670$	19.9674	−	4.22980i	0.771408	−	0.163411i
$671$	35.4120	−	40.8676i	1.36707	−	1.57768i
$672$	−0.0193902	+	0.0301717i	−0.000747991	+	0.00116390i
$673$	−18.7465	+	16.2439i	−0.722623	+	0.626156i	−0.936485	−	0.350708i	$-0.885941\pi$
$673$	−18.7465	+	16.2439i	−0.722623	+	0.626156i	0.213862	+	0.976864i	$0.431396\pi$
$674$	−2.24127	−	15.5884i	−0.0863305	−	0.600442i
$675$	1.62524	−	3.45850i	0.0625554	−	0.133118i
$676$	0.801161	−	0.514875i	0.0308139	−	0.0198029i
$677$	−14.8204	−	2.13086i	−0.569595	−	0.0818954i	−0.148501	−	0.988912i	$-0.547445\pi$
$677$	−14.8204	−	2.13086i	−0.569595	−	0.0818954i	−0.421094	+	0.907017i	$0.638354\pi$
$678$	1.44449	+	0.659676i	0.0554752	+	0.0253347i
$679$	−0.532092	+	1.16512i	−0.0204198	+	0.0447131i
$680$	3.74140	−	16.7586i	0.143476	−	0.642665i
$681$	−0.834864	+	0.536534i	−0.0319920	+	0.0205600i
$682$	4.66753	−	15.8961i	0.178729	−	0.608694i
$683$	−21.5081	+	3.09240i	−0.822986	+	0.118327i	−0.540927	−	0.841070i	$-0.681926\pi$
$683$	−21.5081	+	3.09240i	−0.822986	+	0.118327i	−0.282059	+	0.959397i	$0.591017\pi$
$684$	8.15785	+	9.41466i	0.311923	+	0.359979i
$685$	−1.09233	+	1.44272i	−0.0417357	+	0.0551236i
$686$	−2.55988	+	2.95426i	−0.0977367	+	0.112794i
$687$	0.256937	+	0.875048i	0.00980277	+	0.0333852i
$688$	−7.38178	+	3.37114i	−0.281428	+	0.128524i
$689$	39.8319			1.51747
$690$	−1.35869	−	0.173326i	−0.0517245	−	0.00659840i
$691$	−44.9009			−1.70811			−0.854056	−	0.520181i	$-0.825865\pi$
$691$	−44.9009			−1.70811			−0.854056	+	0.520181i	$0.825865\pi$
$692$	−5.24943	+	2.39734i	−0.199553	+	0.0911330i
$693$	−1.17658	−	4.00707i	−0.0446946	−	0.152216i
$694$	5.20623	−	6.00831i	0.197626	−	0.228072i
$695$	−26.7163	−	20.2277i	−1.01341	−	0.767281i
$696$	0.196121	+	0.226335i	0.00743393	+	0.00857922i
$697$	−12.2085	+	1.75531i	−0.462428	+	0.0664871i
$698$	3.61369	−	12.3071i	0.136780	−	0.465831i
$699$	0.961654	−	0.618017i	0.0363731	−	0.0233756i
$700$	1.34273	+	0.410212i	0.0507505	+	0.0155045i
$701$	17.1355	−	37.5215i	0.647198	−	1.41717i	−0.246788	−	0.969070i	$-0.579375\pi$
$701$	17.1355	−	37.5215i	0.647198	−	1.41717i	0.893985	−	0.448096i	$-0.147898\pi$
$702$	−2.59678	−	1.18591i	−0.0980091	−	0.0447593i
$703$	−34.8564	−	5.01159i	−1.31463	−	0.189016i
$704$	−4.19337	+	2.69492i	−0.158044	+	0.101568i
$705$	1.59863	+	0.606203i	0.0602079	+	0.0228309i
$706$	1.22112	+	8.49310i	0.0459576	+	0.319642i
$707$	0.408465	−	0.353937i	0.0153619	−	0.0133112i
$708$	0.708777	−	1.10288i	0.0266375	−	0.0414487i
$709$	15.1105	−	17.4385i	0.567488	−	0.654916i	−0.397379	−	0.917655i	$-0.630080\pi$
$709$	15.1105	−	17.4385i	0.567488	−	0.654916i	0.964867	+	0.262738i	$0.0846256\pi$
$710$	1.75343	+	8.27731i	0.0658049	+	0.310642i
$711$	−5.98494	−	13.1052i	−0.224453	−	0.491483i
$712$			5.59255i			0.209590i
$713$	−7.33839	+	14.1499i	−0.274825	+	0.529916i
$714$	0.275415			0.0103072
$715$	−39.0874	+	14.3367i	−1.46179	+	0.536161i
$716$	−6.99464	+	2.05381i	−0.261402	+	0.0767545i
$717$	1.84965	+	1.60273i	0.0690764	+	0.0598550i
$718$	15.2289	−	23.6966i	0.568336	−	0.884349i
$719$	−20.6369	−	23.8163i	−0.769628	−	0.888198i	0.226687	−	0.973968i	$-0.427211\pi$
$719$	−20.6369	−	23.8163i	−0.769628	−	0.888198i	−0.996315	+	0.0857693i	$0.972665\pi$
$720$	0.439679	+	6.65722i	0.0163859	+	0.248100i
$721$	−4.07715	−	1.19716i	−0.151841	−	0.0445846i
$722$	0.847720	+	1.31908i	0.0315489	+	0.0490910i
$723$	1.96684	+	0.282789i	0.0731477	+	0.0105170i
$724$	−2.80165	+	6.13475i	−0.104122	+	0.227996i
$725$	6.44548	−	9.79299i	0.239379	−	0.363702i
$726$	−0.251699	+	1.75060i	−0.00934142	+	0.0649710i
$727$	5.62176	+	8.74764i	0.208500	+	0.324432i	0.929715	−	0.368279i	$-0.120053\pi$
$727$	5.62176	+	8.74764i	0.208500	+	0.324432i	−0.721216	+	0.692710i	$0.756416\pi$
$728$	0.295499	−	1.00638i	0.0109519	−	0.0372988i
$729$	−3.71770	−	25.8571i	−0.137692	−	0.957672i
$730$	−13.5552	−	18.3148i	−0.501700	−	0.677862i
$731$	52.4249	+	33.6915i	1.93901	+	1.24612i
$732$	−1.04718	−	0.907384i	−0.0387048	−	0.0335379i
$733$	10.6777	+	36.3650i	0.394391	+	1.34317i	0.882468	+	0.470373i	$0.155880\pi$
$733$	10.6777	+	36.3650i	0.394391	+	1.34317i	−0.488077	+	0.872801i	$0.662301\pi$
$734$	3.21043	+	7.02986i	0.118499	+	0.259477i
$735$	0.151760	−	1.97086i	0.00559775	−	0.0726964i
$736$	4.45662	−	1.77159i	0.164273	−	0.0653018i
$737$			45.4993i			1.67599i
$738$	4.35920	−	1.99078i	0.160464	−	0.0732816i
$739$	−46.3361	+	13.6055i	−1.70450	+	0.500487i	−0.981678	−	0.190545i	$-0.938974\pi$
$739$	−46.3361	+	13.6055i	−1.70450	+	0.500487i	−0.722824	+	0.691032i	$0.757156\pi$
$740$	−13.2630	−	13.4084i	−0.487558	−	0.492901i
$741$	1.67572	+	1.07692i	0.0615591	+	0.0395616i
$742$	2.26298	−	1.96088i	0.0830767	−	0.0719863i
$743$	−14.8177	+	2.13047i	−0.543609	+	0.0781592i	−0.408649	−	0.912692i	$-0.634000\pi$
$743$	−14.8177	+	2.13047i	−0.543609	+	0.0781592i	−0.134961	+	0.990851i	$0.543091\pi$
$744$	−0.407317	−	0.119599i	−0.0149329	−	0.00438471i
$745$	−21.4729	+	11.5736i	−0.786707	+	0.424025i
$746$	2.77552	−	19.3041i	0.101619	−	0.706775i
$747$	−34.3207	−	15.6737i	−1.25573	−	0.573472i
$748$	34.8191	+	15.9014i	1.27311	+	0.581412i
$749$	−0.284170	+	1.97645i	−0.0103833	+	0.0722178i
$750$	−1.34596	+	0.477097i	−0.0491474	+	0.0174211i
$751$	19.9134	+	5.84711i	0.726651	+	0.213364i	0.624079	−	0.781361i	$-0.285474\pi$
$751$	19.9134	+	5.84711i	0.726651	+	0.213364i	0.102573	+	0.994726i	$0.467293\pi$
$752$	−5.92538	+	0.851942i	−0.216077	+	0.0310671i
$753$	−1.96194	+	1.70003i	−0.0714970	+	0.0619525i
$754$	−7.36797	−	4.73511i	−0.268326	−	0.172442i
$755$	22.2883	−	22.0467i	0.811156	−	0.802362i
$756$	−0.205913	+	0.0604614i	−0.00748897	+	0.00219896i
$757$	20.9559	−	9.57022i	0.761654	−	0.347836i	0.00357061	−	0.999994i	$-0.498863\pi$
$757$	20.9559	−	9.57022i	0.761654	−	0.347836i	0.758083	+	0.652158i	$0.226136\pi$
$758$		−	25.7946i		−	0.936904i
$759$	1.00567	−	2.88299i	0.0365036	−	0.104646i
$760$	0.716763	−	9.30840i	0.0259997	−	0.337651i
$761$	−1.72489	−	3.77698i	−0.0625271	−	0.136915i	0.875789	−	0.482695i	$-0.160342\pi$
$761$	−1.72489	−	3.77698i	−0.0625271	−	0.136915i	−0.938316	+	0.345779i	$0.887615\pi$
$762$	0.648877	+	2.20987i	0.0235063	+	0.0800552i
$763$	2.25721	+	1.95589i	0.0817166	+	0.0708078i
$764$	−7.53432	−	4.84201i	−0.272582	−	0.175178i
$765$	41.1813	−	30.4791i	1.48891	−	1.10197i
$766$	3.52465	+	24.5145i	0.127351	+	0.885745i
$767$	−10.8015	+	36.7866i	−0.390020	+	1.32829i
$768$	0.0690535	+	0.107449i	0.00249175	+	0.00387725i
$769$	1.75312	−	12.1932i	0.0632190	−	0.439698i	−0.933488	−	0.358609i	$-0.883251\pi$
$769$	1.75312	−	12.1932i	0.0632190	−	0.439698i	0.996707	−	0.0810887i	$-0.0258397\pi$
$770$	−1.51490	+	2.73875i	−0.0545934	+	0.0986976i
$771$	−0.814197	+	1.78284i	−0.0293226	+	0.0642075i
$772$	−2.52958	−	0.363699i	−0.0910417	−	0.0130898i
$773$	−10.6268	−	16.5355i	−0.382218	−	0.594742i	0.595833	−	0.803108i	$-0.296822\pi$
$773$	−10.6268	−	16.5355i	−0.382218	−	0.594742i	−0.978051	+	0.208366i	$0.933186\pi$
$774$	−23.2322	−	6.82159i	−0.835064	−	0.245197i
$775$	−0.181143	+	16.6172i	−0.00650684	+	0.596907i
$776$	2.98715	+	3.44736i	0.107233	+	0.123753i
$777$	0.163543	−	0.254479i	0.00586709	−	0.00912937i
$778$	27.3481	+	23.6973i	0.980479	+	0.849590i
$779$	−6.43433	+	1.88929i	−0.230534	+	0.0676909i
$780$	0.367357	+	1.00156i	0.0131535	+	0.0358616i
$781$	−18.8613			−0.674912
$782$	−29.9472	−	21.4353i	−1.07091	−	0.766526i
$783$			1.79202i			0.0640416i
$784$	2.87515	+	6.29570i	0.102684	+	0.224846i
$785$	1.46026	+	6.89340i	0.0521191	+	0.246036i
$786$	−0.140514	+	0.162162i	−0.00501198	+	0.00578413i
$787$	−4.63405	+	7.21072i	−0.165186	+	0.257034i	−0.913972	−	0.405778i	$-0.867001\pi$
$787$	−4.63405	+	7.21072i	−0.165186	+	0.257034i	0.748786	+	0.662812i	$0.230637\pi$
$788$	−4.97003	+	4.30656i	−0.177050	+	0.153415i
$789$	−0.271020	−	1.88498i	−0.00964856	−	0.0671072i
$790$	−3.82830	+	10.0957i	−0.136205	+	0.359188i
$791$	−2.93693	+	1.88745i	−0.104425	+	0.0671100i
$792$	−14.7213	−	2.11660i	−0.523099	−	0.0752103i
$793$	36.8599	+	16.8334i	1.30893	+	0.597770i
$794$	2.07826	−	4.55075i	0.0737547	−	0.161500i
$795$	−0.663594	+	2.97240i	−0.0235353	+	0.105420i
$796$	7.50376	−	4.82237i	0.265964	−	0.170925i
$797$	10.8307	−	36.8861i	0.383644	−	1.30657i	−0.510918	−	0.859629i	$-0.670694\pi$
$797$	10.8307	−	36.8861i	0.383644	−	1.30657i	0.894562	−	0.446943i	$-0.147487\pi$
$798$	0.148219	−	0.0213106i	0.00524689	−	0.000754388i
$799$	30.1040	+	34.7419i	1.06500	+	1.22908i
$800$	3.31530	−	3.74283i	0.117214	−	0.132329i
$801$	−10.9273	+	12.6107i	−0.386096	+	0.445579i
$802$	−1.81761	−	6.19023i	−0.0641822	−	0.218585i
$803$	46.2034	−	21.1004i	1.63048	−	0.744617i
$804$	1.16586			0.0411166
$805$	1.93547	−	2.30684i	0.0682163	−	0.0813053i
$806$	12.4147			0.437290
$807$	−0.970806	+	0.443352i	−0.0341740	+	0.0156067i
$808$	−0.542274	−	1.84682i	−0.0190771	−	0.0649707i
$809$	−12.8412	+	14.8196i	−0.451474	+	0.521028i	−0.935166	−	0.354210i	$-0.884750\pi$
$809$	−12.8412	+	14.8196i	−0.451474	+	0.521028i	0.483692	+	0.875238i	$0.339295\pi$
$810$	−11.9500	+	15.7833i	−0.419882	+	0.554570i
$811$	15.8211	+	18.2585i	0.555554	+	0.641143i	0.962168	−	0.272457i	$-0.0878361\pi$
$811$	15.8211	+	18.2585i	0.555554	+	0.641143i	−0.406614	+	0.913600i	$0.633291\pi$
$812$	−0.651703	+	0.0937007i	−0.0228703	+	0.00328825i
$813$	0.0854659	−	0.291070i	0.00299742	−	0.0102083i
$814$	35.3684	−	22.7299i	1.23966	−	0.796682i
$815$	−25.0674	−	5.59634i	−0.878073	−	0.196031i
$816$	0.407451	−	0.892192i	0.0142636	−	0.0312330i
$817$	30.8201	+	14.0751i	1.07826	+	0.492425i
$818$	−12.2306	−	1.75849i	−0.427633	−	0.0614843i
$819$	2.63269	−	1.69192i	0.0919935	−	0.0591206i
$820$	−3.35814	−	1.27341i	−0.117271	−	0.0444695i
$821$	3.79085	+	26.3660i	0.132302	+	0.920178i	0.942544	+	0.334083i	$0.108427\pi$
$821$	3.79085	+	26.3660i	0.132302	+	0.920178i	−0.810242	+	0.586095i	$0.800664\pi$
$822$	−0.0781179	+	0.0676896i	−0.00272468	+	0.00236095i
$823$	2.59683	−	4.04075i	0.0905200	−	0.140852i	−0.793040	−	0.609169i	$-0.791503\pi$
$823$	2.59683	−	4.04075i	0.0905200	−	0.140852i	0.883560	+	0.468317i	$0.155140\pi$
$824$	−9.90989	+	11.4366i	−0.345227	+	0.398413i
$825$	−0.418664	−	3.15569i	−0.0145760	−	0.109867i
$826$	1.19730	+	2.62171i	0.0416593	+	0.0912211i
$827$			3.63332i			0.126343i	0.998003	+	0.0631715i	$0.0201215\pi$
$827$			3.63332i			0.126343i	−0.998003	+	0.0631715i	$0.979878\pi$
$828$	13.5108	+	4.71299i	0.469534	+	0.163788i
$829$	4.44615			0.154421			0.0772106	−	0.997015i	$-0.475399\pi$
$829$	4.44615			0.154421			0.0772106	+	0.997015i	$0.475399\pi$
$830$	9.73700	+	26.5469i	0.337976	+	0.921457i
$831$	−1.20463	+	0.353710i	−0.0417880	+	0.0122701i
$832$	−2.82294	−	2.44609i	−0.0978678	−	0.0848029i
$833$	28.7345	−	44.7117i	0.995590	−	1.54917i
$834$	−1.25347	−	1.44659i	−0.0434043	−	0.0500912i
$835$	−30.7345	+	2.02987i	−1.06361	+	0.0702466i
$836$	19.9688	+	5.86337i	0.690635	+	0.202789i
$837$	−1.37331	−	2.13691i	−0.0474685	−	0.0738624i
$838$	−16.6796	−	2.39816i	−0.576186	−	0.0828430i
$839$	−19.4575	+	42.6060i	−0.671748	+	1.47092i	0.199408	+	0.979916i	$0.436098\pi$
$839$	−19.4575	+	42.6060i	−0.671748	+	1.47092i	−0.871156	+	0.491006i	$0.836629\pi$
$840$	0.0701766	+	0.0388173i	0.00242132	+	0.00133933i
$841$	3.34470	−	23.2629i	0.115335	−	0.802169i
$842$	−10.6297	−	16.5401i	−0.366323	−	0.570010i
$843$	0.606852	−	2.06675i	0.0209011	−	0.0711826i
$844$	1.96067	+	13.6367i	0.0674890	+	0.469396i
$845$	−1.26685	−	1.71168i	−0.0435810	−	0.0588837i
$846$	−15.0259	−	9.65654i	−0.516600	−	0.331999i
$847$	−2.93851	−	2.54623i	−0.100968	−	0.0874896i
$848$	−3.00431	−	10.2317i	−0.103168	−	0.351359i
$849$	−0.194691	−	0.426314i	−0.00668179	−	0.0146311i
$850$	−37.9433	−	5.87826i	−1.30145	−	0.201623i
$851$	−37.5887	+	14.9422i	−1.28852	+	0.512213i
$852$			0.483296i			0.0165574i
$853$	17.3122	−	7.90622i	0.592759	−	0.270704i	−0.0963667	−	0.995346i	$-0.530722\pi$
$853$	17.3122	−	7.90622i	0.592759	−	0.270704i	0.689125	+	0.724642i	$0.257995\pi$
$854$	2.92282	−	0.858218i	0.100017	−	0.0293676i
$855$	19.8039	−	19.5892i	0.677280	−	0.669937i
$856$	5.98218	+	3.84451i	0.204467	+	0.131403i
$857$	−7.18356	+	6.22459i	−0.245386	+	0.212628i	−0.768866	−	0.639410i	$-0.779179\pi$
$857$	−7.18356	+	6.22459i	−0.245386	+	0.212628i	0.523480	+	0.852038i	$0.324633\pi$
$858$	−2.35393	+	0.338444i	−0.0803619	+	0.0115543i
$859$	42.4560	+	12.4662i	1.44858	+	0.425341i	0.909072	−	0.416639i	$-0.136792\pi$
$859$	42.4560	+	12.4662i	1.44858	+	0.425341i	0.539508	+	0.841981i	$0.318610\pi$
$860$	8.60951	+	15.9735i	0.293582	+	0.544692i
$861$	0.00819805	−	0.0570187i	0.000279389	−	0.00194319i
$862$	22.9582	+	10.4847i	0.781959	+	0.357109i
$863$	43.6356	+	19.9277i	1.48537	+	0.678347i	0.982542	−	0.186039i	$-0.0595650\pi$
$863$	43.6356	+	19.9277i	1.48537	+	0.678347i	0.502830	+	0.864385i	$0.332292\pi$
$864$	−0.108767	+	0.756489i	−0.00370032	+	0.0257363i
$865$	6.12251	+	11.3593i	0.208172	+	0.386228i
$866$	−20.1012	−	5.90225i	−0.683067	−	0.200567i
$867$	−5.30608	+	0.762899i	−0.180204	+	0.0259094i
$868$	0.705321	−	0.611164i	0.0239401	−	0.0207443i
$869$	−20.2483	−	13.0128i	−0.686875	−	0.441428i
$870$	0.476100	−	0.470939i	0.0161413	−	0.0159663i
$871$	−32.7140	+	9.60571i	−1.10847	+	0.325477i
$872$	9.67531	−	4.41856i	0.327647	−	0.149631i
$873$			13.6101i			0.460633i
$874$	−17.7751	−	9.21852i	−0.601253	−	0.311821i
$875$	0.717401	−	3.05636i	0.0242526	−	0.103324i
$876$	−0.540669	−	1.18390i	−0.0182675	−	0.0400002i
$877$	−5.75302	−	19.5930i	−0.194266	−	0.661609i	−0.997797	−	0.0663456i	$-0.978866\pi$
$877$	−5.75302	−	19.5930i	−0.194266	−	0.661609i	0.803531	−	0.595263i	$-0.202952\pi$
$878$	5.39598	+	4.67565i	0.182106	+	0.157795i
$879$	1.83082	+	1.17660i	0.0617522	+	0.0396857i
$880$	6.63086	+	8.95916i	0.223526	+	0.302013i
$881$	−1.18784	−	8.26160i	−0.0400193	−	0.278340i	0.959979	−	0.280071i	$-0.0903581\pi$
$881$	−1.18784	−	8.26160i	−0.0400193	−	0.278340i	−0.999999	+	0.00173092i	$0.999449\pi$
$882$	−5.81793	+	19.8141i	−0.195900	+	0.667174i
$883$	−26.7301	−	41.5929i	−0.899540	−	1.39971i	−0.916577	−	0.399857i	$-0.869060\pi$
$883$	−26.7301	−	41.5929i	−0.899540	−	1.39971i	0.0170371	−	0.999855i	$-0.494577\pi$
$884$	−4.08216	+	28.3920i	−0.137298	+	0.954927i
$885$	−2.56520	−	1.41891i	−0.0862282	−	0.0476961i
$886$	−14.6454	+	32.0688i	−0.492020	+	1.07737i
$887$	16.3948	+	2.35721i	0.550483	+	0.0791475i	0.411943	−	0.911209i	$-0.364850\pi$
$887$	16.3948	+	2.35721i	0.550483	+	0.0791475i	0.138539	+	0.990357i	$0.455759\pi$
$888$	−0.582422	−	0.906266i	−0.0195448	−	0.0304123i
$889$	−4.85831	−	1.42653i	−0.162943	−	0.0478443i
$890$	12.4781	−	0.824122i	0.418268	−	0.0276246i
$891$	−28.9000	−	33.3524i	−0.968186	−	1.11735i
$892$	−0.186742	+	0.290576i	−0.00625257	+	0.00972919i
$893$	18.8891	+	16.3675i	0.632100	+	0.547717i
$894$	−1.33692	+	0.392555i	−0.0447133	+	0.0131290i
$895$	5.61321	+	15.3038i	0.187629	+	0.511551i
$896$	−0.280799			−0.00938083
$897$	2.28518	+	0.114430i	0.0763000	+	0.00382070i
$898$			33.7399i			1.12592i
$899$	−3.23737	−	7.08886i	−0.107972	−	0.236427i
$900$	14.7888	−	1.96203i	0.492962	−	0.0654009i
$901$	−53.6256	+	61.8873i	−1.78653	+	2.06176i
$902$	4.32846	−	6.73521i	0.144122	−	0.224258i
$903$	−0.219961	+	0.190597i	−0.00731984	+	0.00634268i
$904$	1.76938	+	12.3063i	0.0588488	+	0.409302i
$905$	14.1007	+	5.34703i	0.468725	+	0.177741i
$906$	1.50646	−	0.968143i	0.0500488	−	0.0321644i
$907$	−4.60154	−	0.661601i	−0.152791	−	0.0219681i	0.0654946	−	0.997853i	$-0.479137\pi$
$907$	−4.60154	−	0.661601i	−0.152791	−	0.0219681i	−0.218286	+	0.975885i	$0.570047\pi$
$908$	−7.06769	−	3.22771i	−0.234549	−	0.107115i
$909$	2.38571	−	5.22397i	0.0791289	−	0.173268i
$910$	−2.28898	−	0.511019i	−0.0758790	−	0.0169401i
$911$	−26.4234	+	16.9813i	−0.875446	+	0.562615i	−0.899414	−	0.437098i	$-0.856006\pi$
$911$	−26.4234	+	16.9813i	−0.875446	+	0.562615i	0.0239679	+	0.999713i	$0.492370\pi$
$912$	0.150241	−	0.511673i	0.00497497	−	0.0169432i
$913$	−62.3922	+	8.97065i	−2.06488	+	0.296885i
$914$	−2.39143	−	2.75986i	−0.0791016	−	0.0912881i
$915$	−1.87025	+	2.47018i	−0.0618285	+	0.0816617i
$916$	−4.67586	+	5.39624i	−0.154495	+	0.178297i
$917$	−0.132901	−	0.452618i	−0.00438876	−	0.0149468i
$918$	5.33860	−	2.43806i	0.176200	−	0.0804679i
$919$	−5.49271			−0.181188			−0.0905939	−	0.995888i	$-0.528877\pi$
$919$	−5.49271			−0.181188			−0.0905939	+	0.995888i	$0.528877\pi$
$920$	−4.60952	−	9.68258i	−0.151971	−	0.319225i
$921$	−0.266750			−0.00878970
$922$	25.9304	−	11.8420i	0.853972	−	0.389996i
$923$	−3.98196	−	13.5613i	−0.131068	−	0.446376i
$924$	−0.117073	+	0.135110i	−0.00385143	+	0.00444479i
$925$	−27.9624	+	31.5684i	−0.919398	+	1.03796i
$926$	−19.9481	−	23.0214i	−0.655536	−	0.756529i
$927$	−44.6920	+	6.42574i	−1.46788	+	0.211049i
$928$	−0.660594	+	2.24977i	−0.0216850	+	0.0738525i
$929$	7.02870	−	4.51707i	0.230604	−	0.148200i	−0.420237	−	0.907415i	$-0.638053\pi$
$929$	7.02870	−	4.51707i	0.230604	−	0.148200i	0.650841	+	0.759214i	$0.274417\pi$
$930$	−0.206827	+	0.926432i	−0.00678214	+	0.0303789i
$931$	12.0042	−	26.2856i	0.393423	−	0.861476i
$932$	8.14105	+	3.71789i	0.266669	+	0.121784i
$933$	1.75740	+	0.252676i	0.0575346	+	0.00827223i
$934$	30.5290	−	19.6198i	0.998939	−	0.641979i
$935$	30.3483	−	80.0319i	0.992494	−	2.61732i
$936$	−1.58609	−	11.0315i	−0.0518429	−	0.360575i
$937$	35.1166	−	30.4287i	1.14721	−	0.994063i	0.147222	−	0.989103i	$-0.452967\pi$
$937$	35.1166	−	30.4287i	1.14721	−	0.994063i	0.999988	−	0.00495980i	$-0.00157876\pi$
$938$	−1.38571	+	2.15621i	−0.0452451	+	0.0704028i
$939$	−0.865847	+	0.999241i	−0.0282558	+	0.0326090i
$940$	2.77403	+	13.0952i	0.0904788	+	0.427119i
$941$	9.97888	+	21.8507i	0.325302	+	0.712312i	0.999660	−	0.0260927i	$-0.00830651\pi$
$941$	9.97888	+	21.8507i	0.325302	+	0.712312i	−0.674357	+	0.738405i	$0.735579\pi$
$942$			0.402492i			0.0131139i
$943$	−5.32913	+	5.56187i	−0.173540	+	0.181119i
$944$	10.2642			0.334070
$945$	0.165245	+	0.450524i	0.00537543	+	0.0146556i
$946$	−38.8127	+	11.3964i	−1.26191	+	0.370530i
$947$	−40.9726	−	35.5030i	−1.33143	−	1.15369i	−0.975702	−	0.219103i	$-0.929687\pi$
$947$	−40.9726	−	35.5030i	−1.33143	−	1.15369i	−0.355729	−	0.934589i	$-0.615767\pi$
$948$	−0.333434	+	0.518834i	−0.0108294	+	0.0168509i
$949$	24.9255	+	28.7656i	0.809117	+	0.933771i
$950$	−20.8746	−	0.227553i	−0.677261	−	0.00738278i
$951$	−0.208383	−	0.0611868i	−0.00675729	−	0.00198412i
$952$	1.16579	+	1.81400i	0.0377835	+	0.0587922i
$953$	30.8033	+	4.42885i	0.997817	+	0.143464i	0.621823	−	0.783158i	$-0.286392\pi$
$953$	30.8033	+	4.42885i	0.997817	+	0.143464i	0.375994	+	0.926622i	$0.377301\pi$
$954$	13.2173	−	28.9419i	0.427926	−	0.937027i
$955$	−9.69326	+	17.5241i	−0.313667	+	0.567068i
$956$	−2.72700	+	18.9667i	−0.0881974	+	0.613426i
$957$	0.807086	+	1.25585i	0.0260894	+	0.0405959i
$958$	−6.93838	+	23.6299i	−0.224169	+	0.763449i
$959$	−0.0323401	−	0.224930i	−0.00104432	−	0.00726338i
$960$	0.229566	−	0.169907i	0.00740921	−	0.00548371i
$961$	−16.7859	−	10.7877i	−0.541481	−	0.347989i
$962$	23.8097	+	20.6312i	0.767654	+	0.665176i
$963$	5.97755	+	20.3577i	0.192624	+	0.656016i
$964$	6.46276	+	14.1515i	0.208151	+	0.455788i
$965$	−0.438727	+	5.69762i	−0.0141231	+	0.183413i
$966$	0.135462	−	0.105996i	0.00435842	−	0.00341037i
$967$		−	5.75671i		−	0.185123i	−0.995707	−	0.0925617i	$-0.970494\pi$
$967$		−	5.75671i		−	0.185123i	0.995707	−	0.0925617i	$-0.0295055\pi$
$968$	−12.5956	+	5.75223i	−0.404839	+	0.184884i
$969$	−3.92924	+	1.15373i	−0.126225	+	0.0370631i
$970$	7.25158	−	7.17297i	0.232834	−	0.230310i
$971$	−26.5964	−	17.0925i	−0.853520	−	0.548524i	0.0391508	−	0.999233i	$-0.487535\pi$
$971$	−26.5964	−	17.0925i	−0.853520	−	0.548524i	−0.892671	+	0.450709i	$0.851171\pi$
$972$	−2.58739	+	2.24199i	−0.0829907	+	0.0719119i
$973$	4.16526	−	0.598874i	0.133532	−	0.0191990i
$974$	29.3089	+	8.60588i	0.939118	+	0.275750i
$975$	2.18056	−	0.967241i	0.0698337	−	0.0309765i
$976$	1.54389	−	10.7380i	0.0494186	−	0.343714i
$977$	19.1808	+	8.75957i	0.613648	+	0.280244i	0.697894	−	0.716201i	$-0.254121\pi$
$977$	19.1808	+	8.75957i	0.613648	+	0.280244i	−0.0842458	+	0.996445i	$0.526848\pi$
$978$	−1.33453	−	0.609460i	−0.0426736	−	0.0194884i
$979$	−3.96731	+	27.5933i	−0.126796	+	0.881884i
$980$	13.6233	−	7.34280i	0.435181	−	0.234557i
$981$	30.4505	+	8.94106i	0.972209	+	0.285466i
$982$	−1.24876	+	0.179544i	−0.0398494	+	0.00572948i
$983$	31.8138	−	27.5668i	1.01470	−	0.879245i	0.0219910	−	0.999758i	$-0.492999\pi$
$983$	31.8138	−	27.5668i	1.01470	−	0.879245i	0.992712	+	0.120513i	$0.0384540\pi$
$984$	−0.172581	−	0.110911i	−0.00550167	−	0.00353571i
$985$	10.3412	+	10.4546i	0.329498	+	0.333110i
$986$	17.2765	−	5.07283i	0.550195	−	0.161552i
$987$	−0.195298	+	0.0891896i	−0.00621640	+	0.00283894i
$988$			15.5954i			0.496157i
$989$	38.7514	−	3.60519i	1.23222	−	0.114638i
$990$	−2.55324	+	33.1582i	−0.0811473	+	1.05384i
$991$	8.62386	+	18.8836i	0.273946	+	0.599858i	0.995735	−	0.0922549i	$-0.0294075\pi$
$991$	8.62386	+	18.8836i	0.273946	+	0.599858i	−0.721790	+	0.692113i	$0.756680\pi$
$992$	−0.936376	−	3.18900i	−0.0297300	−	0.101251i
$993$	0.209433	+	0.181475i	0.00664616	+	0.00575893i
$994$	−0.893837	−	0.574434i	−0.0283508	−	0.0182200i
$995$	−11.8655	−	16.0318i	−0.376161	−	0.508243i
$996$	0.229861	+	1.59872i	0.00728341	+	0.0506572i
$997$	−1.16846	+	3.97941i	−0.0370055	+	0.126029i	−0.975924	−	0.218110i	$-0.930011\pi$
$997$	−1.16846	+	3.97941i	−0.0370055	+	0.126029i	0.938919	+	0.344139i	$0.111829\pi$
$998$	1.89964	+	2.95589i	0.0601319	+	0.0935671i
$999$	0.917377	−	6.38050i	0.0290245	−	0.201870i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.119.10	yes	120
5.4	even	2	inner	230.2.j.a.119.3	yes	120
23.6	even	11	inner	230.2.j.a.29.3	✓	120
115.29	even	22	inner	230.2.j.a.29.10	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.29.3	✓	120	23.6	even	11	inner
230.2.j.a.29.10	yes	120	115.29	even	22	inner
230.2.j.a.119.3	yes	120	5.4	even	2	inner
230.2.j.a.119.10	yes	120	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.909632 - 0.415415i) q^{2} +(-0.0359844 - 0.122552i) q^{3} +(0.654861 - 0.755750i) q^{4} +(-1.78273 - 1.34976i) q^{5} +(-0.0836423 - 0.0965284i) q^{6} +(0.277941 - 0.0399619i) q^{7} +(0.281733 - 0.959493i) q^{8} +(2.51004 - 1.61310i) q^{9} +O(q^{10})\)	\(q+(0.909632 - 0.415415i) q^{2} +(-0.0359844 - 0.122552i) q^{3} +(0.654861 - 0.755750i) q^{4} +(-1.78273 - 1.34976i) q^{5} +(-0.0836423 - 0.0965284i) q^{6} +(0.277941 - 0.0399619i) q^{7} +(0.281733 - 0.959493i) q^{8} +(2.51004 - 1.61310i) q^{9} +(-2.18234 - 0.487212i) q^{10} +(2.07071 - 4.53422i) q^{11} +(-0.116183 - 0.0530590i) q^{12} +(3.69726 + 0.531586i) q^{13} +(0.236223 - 0.151811i) q^{14} +(-0.101265 + 0.267047i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-5.80355 + 5.02880i) q^{17} +(1.61310 - 2.51004i) q^{18} +(-2.73415 + 3.15538i) q^{19} +(-2.18752 + 0.463395i) q^{20} +(-0.0148989 - 0.0326241i) q^{21} -4.98467i q^{22} +(-0.919072 + 4.70694i) q^{23} -0.127725 q^{24} +(1.35629 + 4.81253i) q^{25} +(3.58398 - 1.05235i) q^{26} +(-0.577595 - 0.500489i) q^{27} +(0.151811 - 0.236223i) q^{28} +(-1.53549 - 1.77205i) q^{29} +(0.0188217 + 0.284982i) q^{30} +(3.18900 + 0.936376i) q^{31} +(-0.540641 - 0.841254i) q^{32} +(-0.630188 - 0.0906074i) q^{33} +(-3.19005 + 6.98524i) q^{34} +(-0.549434 - 0.303913i) q^{35} +(0.424623 - 2.95332i) q^{36} +(4.55996 + 7.09543i) q^{37} +(-1.17628 + 4.00604i) q^{38} +(-0.0678970 - 0.472234i) q^{39} +(-1.79734 + 1.33025i) q^{40} +(1.35119 + 0.868354i) q^{41} +(-0.0271051 - 0.0234867i) q^{42} +(-2.28629 - 7.78640i) q^{43} +(-2.07071 - 4.53422i) q^{44} +(-6.65203 - 0.512218i) q^{45} +(1.11932 + 4.66338i) q^{46} -5.98632i q^{47} +(-0.116183 + 0.0530590i) q^{48} +(-6.64080 + 1.94991i) q^{49} +(3.23292 + 3.81421i) q^{50} +(0.825125 + 0.530276i) q^{51} +(2.82294 - 2.44609i) q^{52} +(10.5552 - 1.51760i) q^{53} +(-0.733310 - 0.215319i) q^{54} +(-9.81163 + 5.28834i) q^{55} +(0.0399619 - 0.277941i) q^{56} +(0.485083 + 0.221530i) q^{57} +(-2.13286 - 0.974046i) q^{58} +(-1.46074 + 10.1597i) q^{59} +(0.135506 + 0.251410i) q^{60} +(10.4089 + 3.05634i) q^{61} +(3.28980 - 0.473003i) q^{62} +(0.633179 - 0.548653i) q^{63} +(-0.841254 - 0.540641i) q^{64} +(-5.87372 - 5.93810i) q^{65} +(-0.610879 + 0.179370i) q^{66} +(-8.30299 + 3.79185i) q^{67} +7.67920i q^{68} +(0.609915 - 0.0567427i) q^{69} +(-0.626032 - 0.0482056i) q^{70} +(-1.57188 - 3.44193i) q^{71} +(-0.840602 - 2.86283i) q^{72} +(7.70105 + 6.67300i) q^{73} +(7.09543 + 4.55996i) q^{74} +(0.540978 - 0.339391i) q^{75} +(0.594188 + 4.13267i) q^{76} +(0.394338 - 1.34299i) q^{77} +(-0.257934 - 0.401354i) q^{78} +(0.687186 - 4.77948i) q^{79} +(-1.08231 + 1.95668i) q^{80} +(3.67785 - 8.05337i) q^{81} +(1.58981 + 0.228580i) q^{82} +(-6.83669 - 10.6381i) q^{83} +(-0.0344123 - 0.0101044i) q^{84} +(17.1339 - 1.13161i) q^{85} +(-5.31428 - 6.13300i) q^{86} +(-0.161914 + 0.251942i) q^{87} +(-3.76716 - 3.26427i) q^{88} +(-5.36601 + 1.57560i) q^{89} +(-6.26369 + 2.29742i) q^{90} +1.04886 q^{91} +(2.95541 + 3.77698i) q^{92} -0.424512i q^{93} +(-2.48681 - 5.44534i) q^{94} +(9.13328 - 1.93475i) q^{95} +(-0.0836423 + 0.0965284i) q^{96} +(-2.46614 + 3.83739i) q^{97} +(-5.23066 + 4.53239i) q^{98} +(-2.11660 - 14.7213i) 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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