LMFDB - Embedded newform 966.2.q.i.211.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$4$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			211.3
Character	$\chi$	$=$	966.211
Dual form			966.2.q.i.673.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(1.41748 + 0.910960i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(1.41748 + 0.910960i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.239795 + 1.66781i) q^{10} +(1.93801 - 4.24364i) q^{11} +(0.415415 - 0.909632i) q^{12} +(0.837422 - 5.82440i) q^{13} +(0.841254 - 0.540641i) q^{14} +(-1.61671 - 0.474709i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-4.05929 - 4.68467i) q^{17} +(0.841254 + 0.540641i) q^{18} +(-0.509270 + 0.587729i) q^{19} +(-1.61671 + 0.474709i) q^{20} +(0.415415 + 0.909632i) q^{21} +4.66523 q^{22} +(-4.78397 - 0.337105i) q^{23} +1.00000 q^{24} +(-0.897670 - 1.96562i) q^{25} +(5.64594 - 1.65780i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(0.841254 + 0.540641i) q^{28} +(3.83010 + 4.42017i) q^{29} +(-0.239795 - 1.66781i) q^{30} +(-4.41626 - 1.29673i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.663931 + 4.61774i) q^{33} +(2.57503 - 5.63854i) q^{34} +(0.699959 - 1.53270i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(4.57402 - 2.93955i) q^{37} +(-0.746175 - 0.219097i) q^{38} +(0.837422 + 5.82440i) q^{39} +(-1.10342 - 1.27341i) q^{40} +(10.2533 + 6.58938i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(3.57115 - 1.04859i) q^{43} +(1.93801 + 4.24364i) q^{44} +1.68496 q^{45} +(-1.68069 - 4.49169i) q^{46} +0.443836 q^{47} +(0.415415 + 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(1.41509 - 1.63310i) q^{50} +(5.21468 + 3.35127i) q^{51} +(3.85339 + 4.44705i) q^{52} +(-0.184294 - 1.28179i) q^{53} +(-0.959493 - 0.281733i) q^{54} +(6.61288 - 4.24984i) q^{55} +(-0.142315 + 0.989821i) q^{56} +(0.323059 - 0.707400i) q^{57} +(-2.42965 + 5.32019i) q^{58} +(0.938684 - 6.52869i) q^{59} +(1.41748 - 0.910960i) q^{60} +(-8.45880 - 2.48373i) q^{61} +(-0.655033 - 4.55586i) q^{62} +(-0.654861 - 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(6.49282 - 7.49312i) q^{65} +(-4.47625 + 1.31435i) q^{66} +(-0.983100 - 2.15269i) q^{67} +6.19870 q^{68} +(4.68516 - 1.02435i) q^{69} +1.68496 q^{70} +(-0.452604 - 0.991065i) q^{71} +(-0.959493 + 0.281733i) q^{72} +(-0.618773 + 0.714102i) q^{73} +(4.57402 + 2.93955i) q^{74} +(1.41509 + 1.63310i) q^{75} +(-0.110675 - 0.769761i) q^{76} +(-4.47625 - 1.31435i) q^{77} +(-4.95018 + 3.18129i) q^{78} +(-1.80305 + 12.5405i) q^{79} +(0.699959 - 1.53270i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-1.73455 + 12.0640i) q^{82} +(-5.89923 + 3.79120i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(-1.48642 - 10.3383i) q^{85} +(2.43734 + 2.81284i) q^{86} +(-4.92026 - 3.16206i) q^{87} +(-3.05508 + 3.52575i) q^{88} +(4.47248 - 1.31324i) q^{89} +(0.699959 + 1.53270i) q^{90} -5.88429 q^{91} +(3.38760 - 3.39473i) q^{92} +4.60271 q^{93} +(0.184376 + 0.403727i) q^{94} +(-1.25728 + 0.369170i) q^{95} +(-0.654861 + 0.755750i) q^{96} +(-4.42893 - 2.84630i) q^{97} +(-0.654861 - 0.755750i) q^{98} +(-0.663931 - 4.61774i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{2}{11}\right)$

Coefficient data

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

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

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

$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$3$	−0.959493	+	0.281733i	−0.553964	+	0.162658i
$3$	−0.959493	+	0.281733i	−0.553964	+	0.162658i
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	1.41748	+	0.910960i	0.633917	+	0.407394i	0.817758	−	0.575562i	$-0.195217\pi$
$5$	1.41748	+	0.910960i	0.633917	+	0.407394i	−0.183841	+	0.982956i	$0.558853\pi$
$6$	−0.654861	−	0.755750i	−0.267346	−	0.308533i
$7$	−0.142315	−	0.989821i	−0.0537900	−	0.374117i
$7$	−0.142315	−	0.989821i	−0.0537900	−	0.374117i
$8$	−0.959493	−	0.281733i	−0.339232	−	0.0996075i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	−0.239795	+	1.66781i	−0.0758299	+	0.527409i
$11$	1.93801	−	4.24364i	0.584331	−	1.27951i	−0.354477	−	0.935065i	$-0.615341\pi$
$11$	1.93801	−	4.24364i	0.584331	−	1.27951i	0.938808	−	0.344441i	$-0.111932\pi$
$12$	0.415415	−	0.909632i	0.119920	−	0.262588i
$13$	0.837422	−	5.82440i	0.232259	−	1.61540i	−0.456033	−	0.889963i	$-0.650730\pi$
$13$	0.837422	−	5.82440i	0.232259	−	1.61540i	0.688292	−	0.725434i	$-0.258361\pi$
$14$	0.841254	−	0.540641i	0.224834	−	0.144492i
$15$	−1.61671	−	0.474709i	−0.417433	−	0.122569i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	−4.05929	−	4.68467i	−0.984522	−	1.13620i	−0.990679	−	0.136217i	$-0.956505\pi$
$17$	−4.05929	−	4.68467i	−0.984522	−	1.13620i	0.00615738	−	0.999981i	$-0.498040\pi$
$18$	0.841254	+	0.540641i	0.198285	+	0.127430i
$19$	−0.509270	+	0.587729i	−0.116835	+	0.134834i	−0.811154	−	0.584833i	$-0.801160\pi$
$19$	−0.509270	+	0.587729i	−0.116835	+	0.134834i	0.694319	+	0.719667i	$0.255706\pi$
$20$	−1.61671	+	0.474709i	−0.361507	+	0.106148i
$21$	0.415415	+	0.909632i	0.0906510	+	0.198498i
$22$	4.66523			0.994630
$23$	−4.78397	−	0.337105i	−0.997527	−	0.0702913i
$23$	−4.78397	−	0.337105i	−0.997527	−	0.0702913i
$24$	1.00000			0.204124
$25$	−0.897670	−	1.96562i	−0.179534	−	0.393125i
$26$	5.64594	−	1.65780i	1.10726	−	0.325121i
$27$	−0.654861	+	0.755750i	−0.126028	+	0.145444i
$28$	0.841254	+	0.540641i	0.158982	+	0.102172i
$29$	3.83010	+	4.42017i	0.711232	+	0.820805i	0.990224	−	0.139488i	$-0.0445457\pi$
$29$	3.83010	+	4.42017i	0.711232	+	0.820805i	−0.278992	+	0.960293i	$0.590000\pi$
$30$	−0.239795	−	1.66781i	−0.0437804	−	0.304500i
$31$	−4.41626	−	1.29673i	−0.793184	−	0.232900i	−0.140052	−	0.990144i	$-0.544727\pi$
$31$	−4.41626	−	1.29673i	−0.793184	−	0.232900i	−0.653132	+	0.757244i	$0.726545\pi$
$32$	0.841254	−	0.540641i	0.148714	−	0.0955727i
$33$	−0.663931	+	4.61774i	−0.115576	+	0.803846i
$34$	2.57503	−	5.63854i	0.441615	−	0.967001i
$35$	0.699959	−	1.53270i	0.118315	−	0.259073i
$36$	−0.142315	+	0.989821i	−0.0237191	+	0.164970i
$37$	4.57402	−	2.93955i	0.751965	−	0.483259i	−0.107658	−	0.994188i	$-0.534335\pi$
$37$	4.57402	−	2.93955i	0.751965	−	0.483259i	0.859623	+	0.510929i	$0.170699\pi$
$38$	−0.746175	−	0.219097i	−0.121046	−	0.0355422i
$39$	0.837422	+	5.82440i	0.134095	+	0.932650i
$40$	−1.10342	−	1.27341i	−0.174465	−	0.201344i
$41$	10.2533	+	6.58938i	1.60129	+	1.02909i	0.966589	+	0.256333i	$0.0825143\pi$
$41$	10.2533	+	6.58938i	1.60129	+	1.02909i	0.634704	+	0.772755i	$0.281122\pi$
$42$	−0.654861	+	0.755750i	−0.101047	+	0.116615i
$43$	3.57115	−	1.04859i	0.544596	−	0.159908i	0.00214859	−	0.999998i	$-0.499316\pi$
$43$	3.57115	−	1.04859i	0.544596	−	0.159908i	0.542447	+	0.840090i	$0.317498\pi$
$44$	1.93801	+	4.24364i	0.292165	+	0.639753i
$45$	1.68496			0.251180
$46$	−1.68069	−	4.49169i	−0.247804	−	0.662264i
$47$	0.443836			0.0647401			0.0323701	−	0.999476i	$-0.489694\pi$
$47$	0.443836			0.0647401			0.0323701	+	0.999476i	$0.489694\pi$
$48$	0.415415	+	0.909632i	0.0599600	+	0.131294i
$49$	−0.959493	+	0.281733i	−0.137070	+	0.0402475i
$50$	1.41509	−	1.63310i	0.200124	−	0.230955i
$51$	5.21468	+	3.35127i	0.730201	+	0.469272i
$52$	3.85339	+	4.44705i	0.534369	+	0.616695i
$53$	−0.184294	−	1.28179i	−0.0253147	−	0.176068i	0.973242	−	0.229785i	$-0.0738022\pi$
$53$	−0.184294	−	1.28179i	−0.0253147	−	0.176068i	−0.998556	+	0.0537171i	$0.982893\pi$
$54$	−0.959493	−	0.281733i	−0.130570	−	0.0383389i
$55$	6.61288	−	4.24984i	0.891680	−	0.573048i
$56$	−0.142315	+	0.989821i	−0.0190176	+	0.132270i
$57$	0.323059	−	0.707400i	0.0427902	−	0.0936974i
$58$	−2.42965	+	5.32019i	−0.319028	+	0.698575i
$59$	0.938684	−	6.52869i	0.122206	−	0.849963i	−0.832842	−	0.553511i	$-0.813288\pi$
$59$	0.938684	−	6.52869i	0.122206	−	0.849963i	0.955048	−	0.296452i	$-0.0958033\pi$
$60$	1.41748	−	0.910960i	0.182996	−	0.117604i
$61$	−8.45880	−	2.48373i	−1.08304	−	0.318009i	−0.308945	−	0.951080i	$-0.599976\pi$
$61$	−8.45880	−	2.48373i	−1.08304	−	0.318009i	−0.774094	+	0.633071i	$0.781794\pi$
$62$	−0.655033	−	4.55586i	−0.0831893	−	0.578594i
$63$	−0.654861	−	0.755750i	−0.0825047	−	0.0952155i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	6.49282	−	7.49312i	0.805336	−	0.929407i
$66$	−4.47625	+	1.31435i	−0.550989	+	0.161785i
$67$	−0.983100	−	2.15269i	−0.120105	−	0.262993i	0.840025	−	0.542548i	$-0.182540\pi$
$67$	−0.983100	−	2.15269i	−0.120105	−	0.262993i	−0.960130	+	0.279555i	$0.909813\pi$
$68$	6.19870			0.751703
$69$	4.68516	−	1.02435i	0.564027	−	0.123317i
$70$	1.68496			0.201392
$71$	−0.452604	−	0.991065i	−0.0537142	−	0.117618i	0.880872	−	0.473355i	$-0.156957\pi$
$71$	−0.452604	−	0.991065i	−0.0537142	−	0.117618i	−0.934586	+	0.355737i	$0.884230\pi$
$72$	−0.959493	+	0.281733i	−0.113077	+	0.0332025i
$73$	−0.618773	+	0.714102i	−0.0724219	+	0.0835793i	−0.790804	−	0.612069i	$-0.790337\pi$
$73$	−0.618773	+	0.714102i	−0.0724219	+	0.0835793i	0.718382	+	0.695648i	$0.244883\pi$
$74$	4.57402	+	2.93955i	0.531720	+	0.341715i
$75$	1.41509	+	1.63310i	0.163400	+	0.188574i
$76$	−0.110675	−	0.769761i	−0.0126953	−	0.0882977i
$77$	−4.47625	−	1.31435i	−0.510117	−	0.149784i
$78$	−4.95018	+	3.18129i	−0.560498	+	0.360210i
$79$	−1.80305	+	12.5405i	−0.202859	+	1.41092i	0.592886	+	0.805286i	$0.297988\pi$
$79$	−1.80305	+	12.5405i	−0.202859	+	1.41092i	−0.795745	+	0.605631i	$0.792921\pi$
$80$	0.699959	−	1.53270i	0.0782578	−	0.171361i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	−1.73455	+	12.0640i	−0.191549	+	1.33225i
$83$	−5.89923	+	3.79120i	−0.647524	+	0.416139i	−0.822761	−	0.568388i	$-0.807567\pi$
$83$	−5.89923	+	3.79120i	−0.647524	+	0.416139i	0.175237	+	0.984526i	$0.443931\pi$
$84$	−0.959493	−	0.281733i	−0.104689	−	0.0307395i
$85$	−1.48642	−	10.3383i	−0.161225	−	1.12134i
$86$	2.43734	+	2.81284i	0.262825	+	0.303316i
$87$	−4.92026	−	3.16206i	−0.527507	−	0.339008i
$88$	−3.05508	+	3.52575i	−0.325672	+	0.375846i
$89$	4.47248	−	1.31324i	0.474082	−	0.139203i	−0.0359589	−	0.999353i	$-0.511449\pi$
$89$	4.47248	−	1.31324i	0.474082	−	0.139203i	0.510041	+	0.860150i	$0.329630\pi$
$90$	0.699959	+	1.53270i	0.0737822	+	0.161560i
$91$	−5.88429			−0.616841
$92$	3.38760	−	3.39473i	0.353182	−	0.353925i
$93$	4.60271			0.477278
$94$	0.184376	+	0.403727i	0.0190169	+	0.0416413i
$95$	−1.25728	+	0.369170i	−0.128994	+	0.0378761i
$96$	−0.654861	+	0.755750i	−0.0668364	+	0.0771334i
$97$	−4.42893	−	2.84630i	−0.449689	−	0.288998i	0.296128	−	0.955148i	$-0.404304\pi$
$97$	−4.42893	−	2.84630i	−0.449689	−	0.288998i	−0.745817	+	0.666151i	$0.767941\pi$
$98$	−0.654861	−	0.755750i	−0.0661509	−	0.0763422i
$99$	−0.663931	−	4.61774i	−0.0667276	−	0.464101i
$100$	2.07337	+	0.608795i	0.207337	+	0.0608795i
$101$	15.2243	−	9.78407i	1.51488	−	0.973552i	0.522189	−	0.852830i	$-0.325115\pi$
$101$	15.2243	−	9.78407i	1.51488	−	0.973552i	0.992686	−	0.120722i	$-0.0385210\pi$
$102$	−0.882167	+	6.13561i	−0.0873476	+	0.607516i
$103$	−3.02408	+	6.62181i	−0.297971	+	0.652466i	−0.998104	−	0.0615464i	$-0.980397\pi$
$103$	−3.02408	+	6.62181i	−0.297971	+	0.652466i	0.700133	+	0.714013i	$0.253124\pi$
$104$	−2.44442	+	5.35254i	−0.239695	+	0.524860i
$105$	−0.239795	+	1.66781i	−0.0234016	+	0.162762i
$106$	1.08940	−	0.700115i	0.105812	−	0.0680012i
$107$	6.76927	+	1.98764i	0.654410	+	0.192152i	0.592050	−	0.805901i	$-0.298319\pi$
$107$	6.76927	+	1.98764i	0.654410	+	0.192152i	0.0623607	+	0.998054i	$0.480137\pi$
$108$	−0.142315	−	0.989821i	−0.0136943	−	0.0952456i
$109$	9.67444	+	11.1649i	0.926644	+	1.06940i	0.997411	+	0.0719110i	$0.0229098\pi$
$109$	9.67444	+	11.1649i	0.926644	+	1.06940i	−0.0707673	+	0.997493i	$0.522545\pi$
$110$	6.61288	+	4.24984i	0.630513	+	0.405206i
$111$	−3.56058	+	4.10913i	−0.337955	+	0.390021i
$112$	−0.959493	+	0.281733i	−0.0906636	+	0.0266212i
$113$	4.42530	+	9.69005i	0.416297	+	0.911563i	0.995355	+	0.0962764i	$0.0306933\pi$
$113$	4.42530	+	9.69005i	0.416297	+	0.911563i	−0.579058	+	0.815286i	$0.696579\pi$
$114$	0.777677			0.0728361
$115$	−6.47410	−	4.83584i	−0.603713	−	0.450945i
$116$	−5.84873			−0.543041
$117$	−2.44442	−	5.35254i	−0.225987	−	0.494842i
$118$	6.32865	−	1.85826i	0.582599	−	0.171067i
$119$	−4.05929	+	4.68467i	−0.372114	+	0.429443i
$120$	1.41748	+	0.910960i	0.129398	+	0.0831589i
$121$	−7.04916	−	8.13517i	−0.640833	−	0.739561i
$122$	−1.25463	−	8.72618i	−0.113589	−	0.790031i
$123$	−11.6944	−	3.43378i	−1.05445	−	0.309614i
$124$	3.87204	−	2.48841i	0.347720	−	0.223466i
$125$	1.71715	−	11.9430i	0.153587	−	1.06822i
$126$	0.415415	−	0.909632i	0.0370081	−	0.0810365i
$127$	2.70485	−	5.92279i	0.240017	−	0.525563i	−0.750840	−	0.660484i	$-0.770351\pi$
$127$	2.70485	−	5.92279i	0.240017	−	0.525563i	0.990856	+	0.134921i	$0.0430782\pi$
$128$	−0.142315	+	0.989821i	−0.0125790	+	0.0874887i
$129$	−3.13108	+	2.01222i	−0.275676	+	0.177166i
$130$	9.51319	+	2.79333i	0.834362	+	0.244991i
$131$	2.34517	+	16.3110i	0.204898	+	1.42510i	0.789486	+	0.613769i	$0.210347\pi$
$131$	2.34517	+	16.3110i	0.204898	+	1.42510i	−0.584587	+	0.811331i	$0.698744\pi$
$132$	−3.05508	−	3.52575i	−0.265910	−	0.306877i
$133$	0.654223	+	0.420444i	0.0567284	+	0.0364571i
$134$	1.54976	−	1.78852i	0.133879	−	0.154504i
$135$	−1.61671	+	0.474709i	−0.139144	+	0.0408564i
$136$	2.57503	+	5.63854i	0.220807	+	0.483501i
$137$	11.4469			0.977972			0.488986	−	0.872292i	$-0.337367\pi$
$137$	11.4469			0.977972			0.488986	+	0.872292i	$0.337367\pi$
$138$	2.87807	+	3.83624i	0.244997	+	0.326562i
$139$	−21.8771			−1.85559			−0.927794	−	0.373092i	$-0.878297\pi$
$139$	−21.8771			−1.85559			−0.927794	+	0.373092i	$0.878297\pi$
$140$	0.699959	+	1.53270i	0.0591573	+	0.129537i
$141$	−0.425857	+	0.125043i	−0.0358637	+	0.0105305i
$142$	0.713486	−	0.823407i	0.0598744	−	0.0690988i
$143$	−23.0937	−	14.8414i	−1.93119	−	1.24110i
$144$	−0.654861	−	0.755750i	−0.0545717	−	0.0629791i
$145$	1.40250	+	9.75458i	0.116471	+	0.810074i
$146$	−0.906618	−	0.266207i	−0.0750322	−	0.0220314i
$147$	0.841254	−	0.540641i	0.0693854	−	0.0445913i
$148$	−0.773788	+	5.38181i	−0.0636050	+	0.442382i
$149$	0.112423	−	0.246173i	0.00921008	−	0.0201673i	−0.904971	−	0.425473i	$-0.860108\pi$
$149$	0.112423	−	0.246173i	0.00921008	−	0.0201673i	0.914181	+	0.405306i	$0.132835\pi$
$150$	−0.897670	+	1.96562i	−0.0732944	+	0.160492i
$151$	−1.35681	+	9.43680i	−0.110415	+	0.767956i	0.857101	+	0.515148i	$0.172263\pi$
$151$	−1.35681	+	9.43680i	−0.110415	+	0.767956i	−0.967517	+	0.252808i	$0.918646\pi$
$152$	0.654223	−	0.420444i	0.0530645	−	0.0341025i
$153$	−5.94761	−	1.74638i	−0.480836	−	0.141186i
$154$	−0.663931	−	4.61774i	−0.0535011	−	0.372108i
$155$	−5.07870	−	5.86113i	−0.407931	−	0.470778i
$156$	−4.95018	−	3.18129i	−0.396332	−	0.254707i
$157$	2.94174	−	3.39495i	0.234776	−	0.270946i	−0.626120	−	0.779727i	$-0.715358\pi$
$157$	2.94174	−	3.39495i	0.234776	−	0.270946i	0.860896	+	0.508780i	$0.169903\pi$
$158$	−12.1563	+	3.56940i	−0.967100	+	0.283966i
$159$	0.537951	+	1.17795i	0.0426623	+	0.0934174i
$160$	1.68496			0.133208
$161$	0.347156	+	4.78325i	0.0273597	+	0.376973i
$162$	1.00000			0.0785674
$163$	−0.0290549	−	0.0636215i	−0.00227576	−	0.00498322i	0.908491	−	0.417905i	$-0.137236\pi$
$163$	−0.0290549	−	0.0636215i	−0.00227576	−	0.00498322i	−0.910766	+	0.412922i	$0.864508\pi$
$164$	−11.6944	+	3.43378i	−0.913178	+	0.268133i
$165$	−5.14769	+	5.94075i	−0.400747	+	0.462487i
$166$	−5.89923	−	3.79120i	−0.457869	−	0.294254i
$167$	−12.1007	−	13.9649i	−0.936377	−	1.08064i	−0.996595	−	0.0824513i	$-0.973725\pi$
$167$	−12.1007	−	13.9649i	−0.936377	−	1.08064i	0.0602182	−	0.998185i	$-0.480820\pi$
$168$	−0.142315	−	0.989821i	−0.0109798	−	0.0763664i
$169$	−20.7489	−	6.09243i	−1.59607	−	0.468649i
$170$	8.78654	−	5.64677i	0.673897	−	0.433087i
$171$	−0.110675	+	0.769761i	−0.00846352	+	0.0588651i
$172$	−1.54614	+	3.38557i	−0.117892	+	0.258148i
$173$	−0.609945	+	1.33559i	−0.0463732	+	0.101543i	−0.931401	−	0.363996i	$-0.881412\pi$
$173$	−0.609945	+	1.33559i	−0.0463732	+	0.101543i	0.885027	+	0.465539i	$0.154140\pi$
$174$	0.832360	−	5.78919i	0.0631011	−	0.438878i
$175$	−1.81786	+	1.16827i	−0.137418	+	0.0883129i
$176$	−4.47625	−	1.31435i	−0.337410	−	0.0990726i
$177$	0.938684	+	6.52869i	0.0705558	+	0.490726i
$178$	3.05250	+	3.52277i	0.228794	+	0.264043i
$179$	18.9647	+	12.1879i	1.41749	+	0.910965i	0.999997	+	0.00228450i	$0.000727181\pi$
$179$	18.9647	+	12.1879i	1.41749	+	0.910965i	0.417492	+	0.908681i	$0.362909\pi$
$180$	−1.10342	+	1.27341i	−0.0822438	+	0.0949144i
$181$	−15.9743	+	4.69048i	−1.18736	+	0.348641i	−0.815008	−	0.579450i	$-0.803267\pi$
$181$	−15.9743	+	4.69048i	−1.18736	+	0.348641i	−0.372353	+	0.928091i	$0.621449\pi$
$182$	−2.44442	−	5.35254i	−0.181193	−	0.396757i
$183$	8.81591			0.651691
$184$	4.49521	+	1.67125i	0.331391	+	0.123206i
$185$	9.16140			0.673560
$186$	1.91203	+	4.18677i	0.140197	+	0.306989i
$187$	−27.7470	+	8.14725i	−2.02906	+	0.595786i
$188$	−0.290651	+	0.335429i	−0.0211979	+	0.0244637i
$189$	0.841254	+	0.540641i	0.0611922	+	0.0393258i
$190$	−0.858101	−	0.990302i	−0.0622532	−	0.0718440i
$191$	−1.03166	−	7.17532i	−0.0746480	−	0.519188i	−0.992498	−	0.122261i	$-0.960986\pi$
$191$	−1.03166	−	7.17532i	−0.0746480	−	0.519188i	0.917850	−	0.396927i	$-0.129923\pi$
$192$	−0.959493	−	0.281733i	−0.0692454	−	0.0203323i
$193$	1.56201	−	1.00384i	0.112436	−	0.0722582i	−0.483214	−	0.875502i	$-0.660531\pi$
$193$	1.56201	−	1.00384i	0.112436	−	0.0722582i	0.595650	+	0.803244i	$0.296894\pi$
$194$	0.749241	−	5.21109i	0.0537924	−	0.374134i
$195$	−4.11876	+	9.01883i	−0.294951	+	0.645852i
$196$	0.415415	−	0.909632i	0.0296725	−	0.0649737i
$197$	0.824196	−	5.73241i	0.0587215	−	0.408417i	−0.939167	−	0.343462i	$-0.888400\pi$
$197$	0.824196	−	5.73241i	0.0587215	−	0.408417i	0.997888	−	0.0649554i	$-0.0206905\pi$
$198$	3.92464	−	2.52221i	0.278912	−	0.179246i
$199$	−12.4336	−	3.65082i	−0.881392	−	0.258800i	−0.190438	−	0.981699i	$-0.560991\pi$
$199$	−12.4336	−	3.65082i	−0.881392	−	0.258800i	−0.690954	+	0.722899i	$0.742809\pi$
$200$	0.307528	+	2.13890i	0.0217455	+	0.151243i
$201$	1.54976	+	1.78852i	0.109312	+	0.126152i
$202$	15.2243	+	9.78407i	1.07118	+	0.688405i
$203$	3.83010	−	4.42017i	0.268820	−	0.310235i
$204$	−5.94761	+	1.74638i	−0.416416	+	0.122271i
$205$	8.53116	+	18.6806i	0.595842	+	1.30471i
$206$	−7.27966			−0.507198
$207$	−4.20678	+	2.30282i	−0.292392	+	0.160057i
$208$	−5.88429			−0.408002
$209$	1.50714	+	3.30018i	0.104251	+	0.228278i
$210$	−1.61671	+	0.474709i	−0.111564	+	0.0327580i
$211$	6.97794	−	8.05298i	0.480381	−	0.554390i	−0.462889	−	0.886417i	$-0.653187\pi$
$211$	6.97794	−	8.05298i	0.480381	−	0.554390i	0.943270	+	0.332027i	$0.107732\pi$
$212$	1.08940	+	0.700115i	0.0748203	+	0.0480841i
$213$	0.713486	+	0.823407i	0.0488873	+	0.0564189i
$214$	1.00404	+	6.98324i	0.0686347	+	0.477365i
$215$	6.01726	+	1.76683i	0.410374	+	0.120497i
$216$	0.841254	−	0.540641i	0.0572401	−	0.0367859i
$217$	−0.655033	+	4.55586i	−0.0444666	+	0.309272i
$218$	−6.13704	+	13.4383i	−0.415653	+	0.910153i
$219$	0.392522	−	0.859504i	0.0265242	−	0.0580799i
$220$	−1.11870	+	7.78073i	−0.0754227	+	0.524577i
$221$	−30.6847	+	19.7199i	−2.06408	+	1.32650i
$222$	−5.21691	−	1.53182i	−0.350136	−	0.102809i
$223$	−0.889061	−	6.18355i	−0.0595359	−	0.414081i	−0.997694	−	0.0678740i	$-0.978378\pi$
$223$	−0.889061	−	6.18355i	−0.0595359	−	0.414081i	0.938158	−	0.346207i	$-0.112531\pi$
$224$	−0.654861	−	0.755750i	−0.0437547	−	0.0504956i
$225$	−1.81786	−	1.16827i	−0.121191	−	0.0778847i
$226$	−6.97604	+	8.05078i	−0.464039	+	0.535530i
$227$	−0.713817	+	0.209596i	−0.0473777	+	0.0139114i	−0.305336	−	0.952245i	$-0.598769\pi$
$227$	−0.713817	+	0.209596i	−0.0473777	+	0.0139114i	0.257958	+	0.966156i	$0.416950\pi$
$228$	0.323059	+	0.707400i	0.0213951	+	0.0468487i
$229$	−10.8089			−0.714274			−0.357137	−	0.934052i	$-0.616247\pi$
$229$	−10.8089			−0.714274			−0.357137	+	0.934052i	$0.616247\pi$
$230$	1.70940	−	7.89793i	0.112715	−	0.520774i
$231$	4.66523			0.306950
$232$	−2.42965	−	5.32019i	−0.159514	−	0.349287i
$233$	20.2994	−	5.96045i	1.32986	−	0.390482i	0.461818	−	0.886974i	$-0.347197\pi$
$233$	20.2994	−	5.96045i	1.32986	−	0.390482i	0.868041	+	0.496493i	$0.165379\pi$
$234$	3.85339	−	4.44705i	0.251904	−	0.290713i
$235$	0.629129	+	0.404317i	0.0410399	+	0.0263747i
$236$	4.31935	+	4.98479i	0.281166	+	0.324482i
$237$	−1.80305	−	12.5405i	−0.117121	−	0.814594i
$238$	−5.94761	−	1.74638i	−0.385526	−	0.113201i
$239$	21.0473	−	13.5263i	1.36144	−	0.874944i	0.363055	−	0.931768i	$-0.381734\pi$
$239$	21.0473	−	13.5263i	1.36144	−	0.874944i	0.998384	+	0.0568235i	$0.0180972\pi$
$240$	−0.239795	+	1.66781i	−0.0154787	+	0.107657i
$241$	4.68443	−	10.2575i	0.301751	−	0.660742i	−0.696642	−	0.717419i	$-0.745323\pi$
$241$	4.68443	−	10.2575i	0.301751	−	0.660742i	0.998393	+	0.0566774i	$0.0180506\pi$
$242$	4.47168	−	9.79161i	0.287450	−	0.629429i
$243$	−0.142315	+	0.989821i	−0.00912950	+	0.0634971i
$244$	7.41641	−	4.76624i	0.474787	−	0.305127i
$245$	−1.61671	−	0.474709i	−0.103288	−	0.0303280i
$246$	−1.73455	−	12.0640i	−0.110591	−	0.769175i
$247$	2.99669	+	3.45837i	0.190675	+	0.220051i
$248$	3.87204	+	2.48841i	0.245875	+	0.158014i
$249$	4.59216	−	5.29964i	0.291016	−	0.335851i
$250$	11.5771	−	3.39934i	0.732200	−	0.214993i
$251$	−8.53445	−	18.6878i	−0.538690	−	1.17957i	−0.961867	−	0.273519i	$-0.911812\pi$
$251$	−8.53445	−	18.6878i	−0.538690	−	1.17957i	0.423177	−	0.906047i	$-0.360915\pi$
$252$	1.00000			0.0629941
$253$	−10.7019	+	19.6481i	−0.672824	+	1.23527i
$254$	6.51120			0.408549
$255$	4.33884	+	9.50073i	0.271709	+	0.594959i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	6.26062	−	7.22514i	0.390527	−	0.450692i	−0.526108	−	0.850418i	$-0.676349\pi$
$257$	6.26062	−	7.22514i	0.390527	−	0.450692i	0.916635	+	0.399726i	$0.130895\pi$
$258$	−3.13108	−	2.01222i	−0.194932	−	0.125275i
$259$	−3.56058	−	4.10913i	−0.221244	−	0.255329i
$260$	1.41103	+	9.81390i	0.0875081	+	0.608632i
$261$	5.61181	+	1.64778i	0.347362	+	0.101995i
$262$	−13.8628	+	8.90908i	−0.856447	+	0.550405i
$263$	0.500873	−	3.48365i	0.0308852	−	0.214811i	−0.968534	−	0.248880i	$-0.919937\pi$
$263$	0.500873	−	3.48365i	0.0308852	−	0.214811i	0.999419	+	0.0340689i	$0.0108466\pi$
$264$	1.93801	−	4.24364i	0.119276	−	0.261178i
$265$	0.906428	−	1.98480i	0.0556814	−	0.121925i
$266$	−0.110675	+	0.769761i	−0.00678592	+	0.0471971i
$267$	−3.92133	+	2.52008i	−0.239981	+	0.154227i
$268$	2.27069	+	0.666734i	0.138704	+	0.0407272i
$269$	2.07214	+	14.4121i	0.126341	+	0.878719i	0.950137	+	0.311833i	$0.100943\pi$
$269$	2.07214	+	14.4121i	0.126341	+	0.878719i	−0.823796	+	0.566886i	$0.808148\pi$
$270$	−1.10342	−	1.27341i	−0.0671518	−	0.0774973i
$271$	−11.8198	−	7.59611i	−0.718001	−	0.461431i	0.129940	−	0.991522i	$-0.458521\pi$
$271$	−11.8198	−	7.59611i	−0.718001	−	0.461431i	−0.847941	+	0.530091i	$0.822158\pi$
$272$	−4.05929	+	4.68467i	−0.246130	+	0.284050i
$273$	5.64594	−	1.65780i	0.341708	−	0.100334i
$274$	4.75520	+	10.4124i	0.287272	+	0.629039i
$275$	−10.0811			−0.607912
$276$	−2.29397	+	4.21161i	−0.138081	+	0.253509i
$277$	30.1706			1.81278			0.906388	−	0.422446i	$-0.138828\pi$
$277$	30.1706			1.81278			0.906388	+	0.422446i	$0.138828\pi$
$278$	−9.08806	−	19.9001i	−0.545066	−	1.19353i
$279$	−4.41626	+	1.29673i	−0.264395	+	0.0776333i
$280$	−1.10342	+	1.27341i	−0.0659417	+	0.0761008i
$281$	−6.36605	−	4.09121i	−0.379767	−	0.244061i	0.336805	−	0.941574i	$-0.390654\pi$
$281$	−6.36605	−	4.09121i	−0.379767	−	0.244061i	−0.716572	+	0.697513i	$0.754290\pi$
$282$	−0.290651	−	0.335429i	−0.0173080	−	0.0199745i
$283$	−2.57728	−	17.9254i	−0.153203	−	1.06555i	−0.910805	−	0.412836i	$-0.864538\pi$
$283$	−2.57728	−	17.9254i	−0.153203	−	1.06555i	0.757602	−	0.652717i	$-0.226371\pi$
$284$	1.04539	+	0.306954i	0.0620325	+	0.0182144i
$285$	1.10234	−	0.708432i	0.0652971	−	0.0419639i
$286$	3.90677	−	27.1722i	0.231012	−	1.60672i
$287$	5.06312	−	11.0867i	0.298866	−	0.654426i
$288$	0.415415	−	0.909632i	0.0244786	−	0.0536006i
$289$	−3.04894	+	21.2058i	−0.179349	+	1.24740i
$290$	−8.29046	+	5.32795i	−0.486833	+	0.312868i
$291$	5.05142	+	1.48323i	0.296119	+	0.0869485i
$292$	−0.134472	−	0.935275i	−0.00786939	−	0.0547328i
$293$	16.9377	+	19.5472i	0.989513	+	1.14196i	0.989873	+	0.141959i	$0.0453402\pi$
$293$	16.9377	+	19.5472i	0.989513	+	1.14196i	−0.000359370		1.00000i	$0.500114\pi$
$294$	0.841254	+	0.540641i	0.0490629	+	0.0315308i
$295$	7.27794	−	8.39919i	0.423738	−	0.489020i
$296$	−5.21691	+	1.53182i	−0.303227	+	0.0890354i
$297$	1.93801	+	4.24364i	0.112455	+	0.246241i
$298$	0.270629			0.0156771
$299$	−5.96963	+	27.5814i	−0.345233	+	1.59508i
$300$	−2.16090			−0.124760
$301$	−1.54614	−	3.38557i	−0.0891180	−	0.195141i
$302$	−9.14765	+	2.68599i	−0.526388	+	0.154562i
$303$	−11.8511	+	13.6769i	−0.680830	+	0.785719i
$304$	0.654223	+	0.420444i	0.0375223	+	0.0241141i
$305$	−9.72762	−	11.2263i	−0.557002	−	0.642814i
$306$	−0.882167	−	6.13561i	−0.0504301	−	0.350749i
$307$	−9.03138	−	2.65185i	−0.515448	−	0.151349i	0.0136550	−	0.999907i	$-0.495653\pi$
$307$	−9.03138	−	2.65185i	−0.515448	−	0.151349i	−0.529103	+	0.848558i	$0.677472\pi$
$308$	3.92464	−	2.52221i	0.223627	−	0.143716i
$309$	1.03600	−	7.20556i	0.0589362	−	0.409910i
$310$	3.22171	−	7.05455i	0.182981	−	0.400672i
$311$	0.258414	−	0.565848i	0.0146533	−	0.0320863i	−0.902164	−	0.431394i	$-0.858022\pi$
$311$	0.258414	−	0.565848i	0.0146533	−	0.0320863i	0.916817	+	0.399307i	$0.130749\pi$
$312$	0.837422	−	5.82440i	0.0474097	−	0.329742i
$313$	21.6498	−	13.9135i	1.22372	−	0.786436i	0.240817	−	0.970571i	$-0.422585\pi$
$313$	21.6498	−	13.9135i	1.22372	−	0.786436i	0.982901	+	0.184135i	$0.0589483\pi$
$314$	4.31019	+	1.26559i	0.243238	+	0.0714212i
$315$	−0.239795	−	1.66781i	−0.0135109	−	0.0939706i
$316$	−8.29674	−	9.57494i	−0.466728	−	0.538633i
$317$	−0.534795	−	0.343692i	−0.0300371	−	0.0193037i	0.525536	−	0.850771i	$-0.323865\pi$
$317$	−0.534795	−	0.343692i	−0.0300371	−	0.0193037i	−0.555573	+	0.831468i	$0.687501\pi$
$318$	−0.848026	+	0.978675i	−0.0475550	+	0.0548814i
$319$	26.1804	−	7.68725i	1.46582	−	0.430404i
$320$	0.699959	+	1.53270i	0.0391289	+	0.0856803i
$321$	−7.05505			−0.393775
$322$	−4.20678	+	2.30282i	−0.234435	+	0.128331i
$323$	4.82059			0.268225
$324$	0.415415	+	0.909632i	0.0230786	+	0.0505351i
$325$	−12.2003	+	3.58233i	−0.676751	+	0.198712i
$326$	0.0458023	−	0.0528586i	0.00253675	−	0.00292757i
$327$	−12.4281	−	7.98704i	−0.687274	−	0.441684i
$328$	−7.98150	−	9.21114i	−0.440705	−	0.508600i
$329$	−0.0631644	−	0.439318i	−0.00348237	−	0.0242204i
$330$	−7.54233	−	2.21463i	−0.415191	−	0.121911i
$331$	18.4799	−	11.8763i	1.01575	−	0.652781i	0.0768723	−	0.997041i	$-0.475507\pi$
$331$	18.4799	−	11.8763i	1.01575	−	0.652781i	0.938874	+	0.344260i	$0.111870\pi$
$332$	0.997972	−	6.94105i	0.0547708	−	0.380939i
$333$	2.25868	−	4.94581i	0.123775	−	0.271029i
$334$	7.67613	−	16.8084i	0.420019	−	0.919713i
$335$	0.567487	−	3.94696i	0.0310051	−	0.215645i
$336$	0.841254	−	0.540641i	0.0458941	−	0.0294944i
$337$	−14.5466	−	4.27126i	−0.792403	−	0.232671i	−0.139610	−	0.990207i	$-0.544585\pi$
$337$	−14.5466	−	4.27126i	−0.792403	−	0.232671i	−0.652793	+	0.757536i	$0.726403\pi$
$338$	−3.07754	−	21.4048i	−0.167396	−	1.16427i
$339$	−6.97604	−	8.05078i	−0.378887	−	0.437258i
$340$	8.78654	+	5.64677i	0.476517	+	0.306239i
$341$	−14.0616	+	16.2280i	−0.761479	+	0.878794i
$342$	−0.746175	+	0.219097i	−0.0403485	+	0.0118474i
$343$	0.415415	+	0.909632i	0.0224303	+	0.0491155i
$344$	−3.72192			−0.200672
$345$	7.57427	+	2.81599i	0.407785	+	0.151608i
$346$	−1.46828			−0.0789351
$347$	8.14942	+	17.8447i	0.437484	+	0.957956i	0.992053	+	0.125819i	$0.0401557\pi$
$347$	8.14942	+	17.8447i	0.437484	+	0.957956i	−0.554569	+	0.832137i	$0.687117\pi$
$348$	5.61181	−	1.64778i	0.300825	−	0.0883301i
$349$	16.0003	−	18.4653i	0.856475	−	0.988425i	−0.143524	−	0.989647i	$-0.545843\pi$
$349$	16.0003	−	18.4653i	0.856475	−	0.988425i	0.999999	+	0.00122159i	$0.000388844\pi$
$350$	−1.81786	−	1.16827i	−0.0971689	−	0.0624467i
$351$	3.85339	+	4.44705i	0.205679	+	0.237366i
$352$	−0.663931	−	4.61774i	−0.0353877	−	0.246127i
$353$	3.06624	+	0.900329i	0.163199	+	0.0479197i	0.362312	−	0.932057i	$-0.381988\pi$
$353$	3.06624	+	0.900329i	0.163199	+	0.0479197i	−0.199112	+	0.979977i	$0.563806\pi$
$354$	−5.54876	+	3.56597i	−0.294913	+	0.189529i
$355$	0.261263	−	1.81712i	0.0138664	−	0.0964428i
$356$	−1.93637	+	4.24006i	−0.102627	+	0.224723i
$357$	2.57503	−	5.63854i	0.136285	−	0.298423i
$358$	−3.20826	+	22.3139i	−0.169562	+	1.17933i
$359$	−18.5080	+	11.8944i	−0.976815	+	0.627761i	−0.928602	−	0.371076i	$-0.878989\pi$
$359$	−18.5080	+	11.8944i	−0.976815	+	0.627761i	−0.0482127	+	0.998837i	$0.515353\pi$
$360$	−1.61671	−	0.474709i	−0.0852081	−	0.0250194i
$361$	2.61791	+	18.2080i	0.137785	+	0.958315i
$362$	−10.9026	−	12.5822i	−0.573027	−	0.661308i
$363$	9.05556	+	5.81966i	0.475294	+	0.305453i
$364$	3.85339	−	4.44705i	0.201973	−	0.233089i
$365$	−1.52762	+	0.448549i	−0.0799591	+	0.0234781i
$366$	3.66226	+	8.01923i	0.191429	+	0.419172i
$367$	13.5922			0.709507			0.354754	−	0.934960i	$-0.384565\pi$
$367$	13.5922			0.709507			0.354754	+	0.934960i	$0.384565\pi$
$368$	0.347156	+	4.78325i	0.0180968	+	0.249344i
$369$	12.1881			0.634487
$370$	3.80578	+	8.33351i	0.197853	+	0.433238i
$371$	−1.24252	+	0.364836i	−0.0645083	+	0.0189413i
$372$	−3.01413	+	3.47849i	−0.156275	+	0.180351i
$373$	−8.03160	−	5.16160i	−0.415861	−	0.267257i	0.315936	−	0.948781i	$-0.397682\pi$
$373$	−8.03160	−	5.16160i	−0.415861	−	0.267257i	−0.731797	+	0.681523i	$0.761318\pi$
$374$	−18.9375	−	21.8550i	−0.979235	−	1.13010i
$375$	1.71715	+	11.9430i	0.0886732	+	0.616736i
$376$	−0.425857	−	0.125043i	−0.0219619	−	0.00644860i
$377$	28.9522	−	18.6065i	1.49112	−	0.958282i
$378$	−0.142315	+	0.989821i	−0.00731989	+	0.0509109i
$379$	−15.0893	+	33.0410i	−0.775086	+	1.69720i	−0.0599656	+	0.998200i	$0.519099\pi$
$379$	−15.0893	+	33.0410i	−0.775086	+	1.69720i	−0.715120	+	0.699001i	$0.753628\pi$
$380$	0.544342	−	1.19194i	0.0279241	−	0.0611454i
$381$	−0.926640	+	6.44492i	−0.0474732	+	0.330183i
$382$	6.09834	−	3.91916i	0.312018	−	0.200522i
$383$	29.9984	+	8.80831i	1.53284	+	0.450084i	0.935920	−	0.352213i	$-0.114571\pi$
$383$	29.9984	+	8.80831i	1.53284	+	0.450084i	0.596925	+	0.802297i	$0.296389\pi$
$384$	−0.142315	−	0.989821i	−0.00726247	−	0.0505116i
$385$	−5.14769	−	5.94075i	−0.262351	−	0.302769i
$386$	1.56201	+	1.00384i	0.0795042	+	0.0510942i
$387$	2.43734	−	2.81284i	0.123897	−	0.142985i
$388$	5.05142	−	1.48323i	0.256447	−	0.0752996i
$389$	9.12133	+	19.9729i	0.462470	+	1.01267i	0.986918	+	0.161225i	$0.0515445\pi$
$389$	9.12133	+	19.9729i	0.462470	+	1.01267i	−0.524448	+	0.851443i	$0.675728\pi$
$390$	−9.91481			−0.502056
$391$	17.8403	+	23.7797i	0.902222	+	1.20259i
$392$	1.00000			0.0505076
$393$	−6.84552	−	14.9896i	−0.345311	−	0.756125i
$394$	5.55677	−	1.63161i	0.279946	−	0.0821995i
$395$	−13.9797	+	16.1334i	−0.703395	+	0.811761i
$396$	3.92464	+	2.52221i	0.197221	+	0.126746i
$397$	9.41691	+	10.8677i	0.472621	+	0.545434i	0.941139	−	0.338020i	$-0.109757\pi$
$397$	9.41691	+	10.8677i	0.472621	+	0.545434i	−0.468518	+	0.883454i	$0.655212\pi$
$398$	−1.84418	−	12.8266i	−0.0924405	−	0.642938i
$399$	−0.746175	−	0.219097i	−0.0373555	−	0.0109686i
$400$	−1.81786	+	1.16827i	−0.0908932	+	0.0584135i
$401$	4.40394	−	30.6301i	0.219922	−	1.52959i	−0.518395	−	0.855141i	$-0.673470\pi$
$401$	4.40394	−	30.6301i	0.219922	−	1.52959i	0.738318	−	0.674453i	$-0.235621\pi$
$402$	−0.983100	+	2.15269i	−0.0490326	+	0.107366i
$403$	−11.2510	+	24.6362i	−0.560450	+	1.22721i
$404$	−2.57550	+	17.9130i	−0.128136	+	0.891204i
$405$	1.41748	−	0.910960i	0.0704352	−	0.0452660i
$406$	5.61181	+	1.64778i	0.278509	+	0.0817778i
$407$	−3.60990	−	25.1074i	−0.178936	−	1.24453i
$408$	−4.05929	−	4.68467i	−0.200965	−	0.231926i
$409$	18.0351	+	11.5904i	0.891778	+	0.573111i	0.904341	−	0.426810i	$-0.140363\pi$
$409$	18.0351	+	11.5904i	0.891778	+	0.573111i	−0.0125635	+	0.999921i	$0.503999\pi$
$410$	−13.4485	+	15.5204i	−0.664176	+	0.766500i
$411$	−10.9832	+	3.22496i	−0.541761	+	0.159075i
$412$	−3.02408	−	6.62181i	−0.148986	−	0.326233i
$413$	−6.59582			−0.324559
$414$	−3.84228	−	2.87000i	−0.188838	−	0.141053i
$415$	−11.8157			−0.580009
$416$	−2.44442	−	5.35254i	−0.119848	−	0.262430i
$417$	20.9909	−	6.16348i	1.02793	−	0.301827i
$418$	−2.37586	+	2.74189i	−0.116207	+	0.134110i
$419$	20.3502	+	13.0783i	0.994174	+	0.638917i	0.933251	−	0.359226i	$-0.116959\pi$
$419$	20.3502	+	13.0783i	0.994174	+	0.638917i	0.0609232	+	0.998142i	$0.480596\pi$
$420$	−1.10342	−	1.27341i	−0.0538412	−	0.0621361i
$421$	2.18200	+	15.1762i	0.106344	+	0.739641i	0.971311	+	0.237812i	$0.0764302\pi$
$421$	2.18200	+	15.1762i	0.106344	+	0.739641i	−0.864967	+	0.501829i	$0.832661\pi$
$422$	10.2240	+	3.00203i	0.497696	+	0.146137i
$423$	0.373378	−	0.239956i	0.0181543	−	0.0116670i
$424$	−0.184294	+	1.28179i	−0.00895010	+	0.0622493i
$425$	−5.56439	+	12.1843i	−0.269912	+	0.591026i
$426$	−0.452604	+	0.991065i	−0.0219288	+	0.0480173i
$427$	−1.25463	+	8.72618i	−0.0607160	+	0.422289i
$428$	−5.93509	+	3.81425i	−0.286883	+	0.184369i
$429$	26.3396	+	7.73400i	1.27169	+	0.373401i
$430$	0.892498	+	6.20746i	0.0430401	+	0.299350i
$431$	−5.96047	−	6.87875i	−0.287106	−	0.331338i	0.593815	−	0.804602i	$-0.297621\pi$
$431$	−5.96047	−	6.87875i	−0.287106	−	0.331338i	−0.880921	+	0.473264i	$0.843076\pi$
$432$	0.841254	+	0.540641i	0.0404748	+	0.0260116i
$433$	−15.4178	+	17.7930i	−0.740930	+	0.855079i	−0.993656	−	0.112459i	$-0.964127\pi$
$433$	−15.4178	+	17.7930i	−0.740930	+	0.855079i	0.252726	+	0.967538i	$0.418673\pi$
$434$	−4.41626	+	1.29673i	−0.211987	+	0.0622451i
$435$	−4.09387	−	8.96432i	−0.196286	−	0.429806i
$436$	−14.7733			−0.707512
$437$	2.63446	−	2.64000i	0.126023	−	0.126288i
$438$	0.944892			0.0451487
$439$	7.75328	+	16.9773i	0.370044	+	0.810283i	0.999449	+	0.0332056i	$0.0105716\pi$
$439$	7.75328	+	16.9773i	0.370044	+	0.810283i	−0.629404	+	0.777078i	$0.716701\pi$
$440$	−7.54233	+	2.21463i	−0.359566	+	0.105578i
$441$	−0.654861	+	0.755750i	−0.0311838	+	0.0359881i
$442$	−30.6847	−	19.7199i	−1.45952	−	0.937978i
$443$	−7.20080	−	8.31016i	−0.342120	−	0.394828i	0.558450	−	0.829538i	$-0.311396\pi$
$443$	−7.20080	−	8.31016i	−0.342120	−	0.394828i	−0.900570	+	0.434710i	$0.856851\pi$
$444$	−0.773788	−	5.38181i	−0.0367223	−	0.255409i
$445$	7.53596	+	2.21276i	0.357239	+	0.104895i
$446$	5.25543	−	3.37746i	0.248852	−	0.159927i
$447$	−0.0385145	+	0.267874i	−0.00182167	+	0.0126700i
$448$	0.415415	−	0.909632i	0.0196265	−	0.0429761i
$449$	−15.2612	+	33.4174i	−0.720221	+	1.57707i	0.0933723	+	0.995631i	$0.470235\pi$
$449$	−15.2612	+	33.4174i	−0.720221	+	1.57707i	−0.813594	+	0.581434i	$0.802492\pi$
$450$	0.307528	−	2.13890i	0.0144970	−	0.100829i
$451$	47.8339	−	30.7410i	2.25241	−	1.44754i
$452$	−10.2212	−	3.00122i	−0.480765	−	0.141165i
$453$	−1.35681	−	9.43680i	−0.0637483	−	0.443379i
$454$	−0.487185	−	0.562242i	−0.0228647	−	0.0263873i
$455$	−8.34087	−	5.36035i	−0.391026	−	0.251297i
$456$	−0.509270	+	0.587729i	−0.0238488	+	0.0275229i
$457$	−9.48752	+	2.78579i	−0.443807	+	0.130314i	−0.495998	−	0.868324i	$-0.665198\pi$
$457$	−9.48752	+	2.78579i	−0.443807	+	0.130314i	0.0521909	+	0.998637i	$0.483380\pi$
$458$	−4.49019	−	9.83214i	−0.209813	−	0.459426i
$459$	6.19870			0.289331
$460$	7.89432	−	1.72599i	0.368075	−	0.0804748i
$461$	−38.3130			−1.78442			−0.892208	−	0.451625i	$-0.850845\pi$
$461$	−38.3130			−1.78442			−0.892208	+	0.451625i	$0.850845\pi$
$462$	1.93801	+	4.24364i	0.0901642	+	0.197432i
$463$	21.5755	−	6.33515i	1.00270	−	0.294419i	0.261136	−	0.965302i	$-0.415903\pi$
$463$	21.5755	−	6.33515i	1.00270	−	0.294419i	0.741563	+	0.670883i	$0.234085\pi$
$464$	3.83010	−	4.42017i	0.177808	−	0.205201i
$465$	6.52425	+	4.19288i	0.302555	+	0.194440i
$466$	13.8545	+	15.9889i	0.641797	+	0.740674i
$467$	3.94950	+	27.4694i	0.182761	+	1.27113i	0.850198	+	0.526464i	$0.176482\pi$
$467$	3.94950	+	27.4694i	0.182761	+	1.27113i	−0.667437	+	0.744666i	$0.732609\pi$
$468$	5.64594	+	1.65780i	0.260983	+	0.0766317i
$469$	−1.99087	+	1.27945i	−0.0919297	+	0.0590796i
$470$	−0.106430	+	0.740235i	−0.00490924	+	0.0341445i
$471$	−1.86611	+	4.08621i	−0.0859858	+	0.188283i
$472$	−2.74000	+	5.99977i	−0.126119	+	0.276162i
$473$	2.47110	−	17.1869i	0.113621	−	0.790253i
$474$	10.6582	−	6.84963i	0.489549	−	0.314614i
$475$	1.61241	+	0.473446i	0.0739824	+	0.0217232i
$476$	−0.882167	−	6.13561i	−0.0404341	−	0.281225i
$477$	−0.848026	−	0.978675i	−0.0388285	−	0.0448104i
$478$	21.0473	+	13.5263i	0.962683	+	0.618679i
$479$	7.58310	−	8.75136i	0.346481	−	0.399860i	−0.555584	−	0.831460i	$-0.687505\pi$
$479$	7.58310	−	8.75136i	0.346481	−	0.399860i	0.902065	+	0.431600i	$0.142051\pi$
$480$	−1.61671	+	0.474709i	−0.0737924	+	0.0216674i
$481$	−13.2907	−	29.1026i	−0.606004	−	1.32696i
$482$	11.2765			0.513631
$483$	−1.68069	−	4.49169i	−0.0764741	−	0.204379i
$484$	10.7644			0.489289
$485$	−3.68506	−	8.06915i	−0.167330	−	0.366401i
$486$	−0.959493	+	0.281733i	−0.0435235	+	0.0127796i
$487$	−23.7843	+	27.4486i	−1.07777	+	1.24381i	−0.109481	+	0.993989i	$0.534919\pi$
$487$	−23.7843	+	27.4486i	−1.07777	+	1.24381i	−0.968291	+	0.249826i	$0.919627\pi$
$488$	7.41641	+	4.76624i	0.335725	+	0.215758i
$489$	0.0458023	+	0.0528586i	0.00207125	+	0.00239035i
$490$	−0.239795	−	1.66781i	−0.0108328	−	0.0753441i
$491$	−11.0986	−	3.25885i	−0.500873	−	0.147070i	0.0215300	−	0.999768i	$-0.493146\pi$
$491$	−11.0986	−	3.25885i	−0.500873	−	0.147070i	−0.522403	+	0.852699i	$0.674964\pi$
$492$	10.2533	−	6.58938i	0.462253	−	0.297072i
$493$	5.15955	−	35.8855i	0.232375	−	1.61620i
$494$	−1.90097	+	4.16255i	−0.0855287	+	0.187282i
$495$	3.26547	−	7.15038i	0.146772	−	0.321386i
$496$	−0.655033	+	4.55586i	−0.0294119	+	0.204564i
$497$	−0.916565	+	0.589041i	−0.0411136	+	0.0264221i
$498$	6.72837	+	1.97563i	0.301506	+	0.0885300i
$499$	−4.35956	−	30.3214i	−0.195161	−	1.35737i	−0.818089	−	0.575092i	$-0.804966\pi$
$499$	−4.35956	−	30.3214i	−0.195161	−	1.35737i	0.622928	−	0.782279i	$-0.285943\pi$
$500$	7.90145	+	9.11876i	0.353364	+	0.407803i
$501$	15.5449	+	9.99008i	0.694493	+	0.446324i
$502$	13.4537	−	15.5264i	0.600469	−	0.692978i
$503$	−8.59015	+	2.52230i	−0.383016	+	0.112464i	−0.467572	−	0.883955i	$-0.654871\pi$
$503$	−8.59015	+	2.52230i	−0.383016	+	0.112464i	0.0845558	+	0.996419i	$0.473053\pi$
$504$	0.415415	+	0.909632i	0.0185041	+	0.0405182i
$505$	30.4931			1.35692
$506$	−22.3183	−	1.57267i	−0.992170	−	0.0699138i
$507$	21.6249			0.960395
$508$	2.70485	+	5.92279i	0.120008	+	0.262781i
$509$	16.3722	−	4.80732i	0.725686	−	0.213081i	0.102032	−	0.994781i	$-0.467466\pi$
$509$	16.3722	−	4.80732i	0.725686	−	0.213081i	0.623654	+	0.781701i	$0.285647\pi$
$510$	−6.83975	+	7.89349i	−0.302869	+	0.349530i
$511$	0.794894	+	0.510847i	0.0351640	+	0.0225986i
$512$	−0.654861	−	0.755750i	−0.0289410	−	0.0333997i
$513$	−0.110675	−	0.769761i	−0.00488642	−	0.0339858i
$514$	9.17297	+	2.69343i	0.404602	+	0.118802i
$515$	−10.3188	+	6.63147i	−0.454700	+	0.292218i
$516$	0.529684	−	3.68403i	0.0233180	−	0.162180i
$517$	0.860157	−	1.88348i	0.0378296	−	0.0828354i
$518$	2.25868	−	4.94581i	0.0992405	−	0.217306i
$519$	0.208958	−	1.45333i	0.00917222	−	0.0637942i
$520$	−8.34087	+	5.36035i	−0.365771	+	0.235067i
$521$	−18.9905	−	5.57612i	−0.831990	−	0.244294i	−0.162118	−	0.986771i	$-0.551833\pi$
$521$	−18.9905	−	5.57612i	−0.831990	−	0.244294i	−0.669871	+	0.742477i	$0.733651\pi$
$522$	0.832360	+	5.78919i	0.0364314	+	0.253386i
$523$	−6.64258	−	7.66594i	−0.290460	−	0.335208i	0.591701	−	0.806158i	$-0.298457\pi$
$523$	−6.64258	−	7.66594i	−0.290460	−	0.335208i	−0.882160	+	0.470950i	$0.843911\pi$
$524$	−13.8628	−	8.90908i	−0.605599	−	0.389195i
$525$	1.41509	−	1.63310i	0.0617595	−	0.0712742i
$526$	3.37691	−	0.991551i	0.147240	−	0.0432337i
$527$	11.8521	+	25.9525i	0.516287	+	1.13051i
$528$	4.66523			0.203028
$529$	22.7727	+	3.22540i	0.990118	+	0.140235i
$530$	2.18198			0.0947792
$531$	−2.74000	−	5.99977i	−0.118906	−	0.260368i
$532$	−0.746175	+	0.219097i	−0.0323508	+	0.00949905i
$533$	46.9655	−	54.2011i	2.03430	−	2.34771i
$534$	−3.92133	−	2.52008i	−0.169692	−	0.109055i
$535$	7.78466	+	8.98398i	0.336560	+	0.388411i
$536$	0.336795	+	2.34246i	0.0145473	+	0.101179i
$537$	−21.6302	−	6.35121i	−0.933414	−	0.274075i
$538$	−12.2489	+	7.87187i	−0.528086	+	0.339381i
$539$	−0.663931	+	4.61774i	−0.0285975	+	0.198900i
$540$	0.699959	−	1.53270i	0.0301214	−	0.0659568i
$541$	−16.2861	+	35.6615i	−0.700193	+	1.53321i	0.139545	+	0.990216i	$0.455436\pi$
$541$	−16.2861	+	35.6615i	−0.700193	+	1.53321i	−0.839738	+	0.542992i	$0.817291\pi$
$542$	1.99955	−	13.9072i	0.0858881	−	0.597365i
$543$	14.0058	−	9.00097i	0.601045	−	0.386268i
$544$	−5.94761	−	1.74638i	−0.255002	−	0.0748753i
$545$	3.54256	+	24.6391i	0.151747	+	1.05542i
$546$	3.85339	+	4.44705i	0.164910	+	0.190316i
$547$	−28.3298	−	18.2065i	−1.21130	−	0.778453i	−0.230421	−	0.973091i	$-0.574010\pi$
$547$	−28.3298	−	18.2065i	−1.21130	−	0.778453i	−0.980875	+	0.194638i	$0.937647\pi$
$548$	−7.49611	+	8.65097i	−0.320218	+	0.369551i
$549$	−8.45880	+	2.48373i	−0.361013	+	0.106003i
$550$	−4.18784	−	9.17008i	−0.178570	−	0.391014i
$551$	−4.54842			−0.193769
$552$	−4.78397	−	0.337105i	−0.203619	−	0.0143481i
$553$	12.6695			0.538761
$554$	12.5333	+	27.4442i	0.532490	+	1.16599i
$555$	−8.79030	+	2.58107i	−0.373128	+	0.109560i
$556$	14.3264	−	16.5336i	0.607576	−	0.701180i
$557$	−16.5259	−	10.6206i	−0.700225	−	0.450007i	0.141483	−	0.989941i	$-0.454813\pi$
$557$	−16.5259	−	10.6206i	−0.700225	−	0.450007i	−0.841708	+	0.539933i	$0.818449\pi$
$558$	−3.01413	−	3.47849i	−0.127598	−	0.147256i
$559$	−3.11681	−	21.6779i	−0.131827	−	0.916878i
$560$	−1.61671	−	0.474709i	−0.0683185	−	0.0200601i
$561$	24.3277	−	15.6344i	1.02712	−	0.660087i
$562$	1.07694	−	7.49032i	0.0454282	−	0.315960i
$563$	−8.81552	+	19.3033i	−0.371530	+	0.813537i	0.627850	+	0.778334i	$0.283935\pi$
$563$	−8.81552	+	19.3033i	−0.371530	+	0.813537i	−0.999380	+	0.0352030i	$0.988792\pi$
$564$	0.184376	−	0.403727i	0.00776363	−	0.0170000i
$565$	−2.55447	+	17.7667i	−0.107467	+	0.747452i
$566$	15.2349	−	9.79085i	0.640369	−	0.411540i
$567$	−0.959493	−	0.281733i	−0.0402949	−	0.0118317i
$568$	0.155055	+	1.07843i	0.00650598	+	0.0452501i
$569$	8.85644	+	10.2209i	0.371281	+	0.428482i	0.910388	−	0.413756i	$-0.135783\pi$
$569$	8.85644	+	10.2209i	0.371281	+	0.428482i	−0.539106	+	0.842238i	$0.681238\pi$
$570$	1.10234	+	0.708432i	0.0461720	+	0.0296730i
$571$	11.0772	−	12.7838i	0.463568	−	0.534986i	−0.475044	−	0.879962i	$-0.657568\pi$
$571$	11.0772	−	12.7838i	0.463568	−	0.534986i	0.938611	+	0.344977i	$0.112113\pi$
$572$	26.3396	−	7.73400i	1.10131	−	0.323375i
$573$	3.01139	+	6.59402i	0.125803	+	0.275469i
$574$	12.1881			0.508721
$575$	3.63180	+	9.70609i	0.151457	+	0.404772i
$576$	1.00000			0.0416667
$577$	4.36365	+	9.55506i	0.181661	+	0.397782i	0.978452	−	0.206472i	$-0.0661983\pi$
$577$	4.36365	+	9.55506i	0.181661	+	0.397782i	−0.796791	+	0.604254i	$0.793471\pi$
$578$	−20.5561	+	6.03581i	−0.855020	+	0.251057i
$579$	−1.21592	+	1.40325i	−0.0505320	+	0.0583170i
$580$	−8.29046	−	5.32795i	−0.344243	−	0.221231i
$581$	4.59216	+	5.29964i	0.190515	+	0.219866i
$582$	0.749241	+	5.21109i	0.0310570	+	0.216007i
$583$	−5.79663	−	1.70204i	−0.240072	−	0.0704914i
$584$	0.794894	−	0.510847i	0.0328929	−	0.0211390i
$585$	1.41103	−	9.81390i	0.0583387	−	0.405755i
$586$	−10.7446	+	23.5273i	−0.443854	+	0.971904i
$587$	−18.7109	+	40.9712i	−0.772282	+	1.69106i	−0.0507174	+	0.998713i	$0.516151\pi$
$587$	−18.7109	+	40.9712i	−0.772282	+	1.69106i	−0.721564	+	0.692348i	$0.756577\pi$
$588$	−0.142315	+	0.989821i	−0.00586897	+	0.0408195i
$589$	3.01120	−	1.93518i	0.124074	−	0.0797377i
$590$	10.6635	+	3.13110i	0.439011	+	0.128905i
$591$	0.824196	+	5.73241i	0.0339029	+	0.235800i
$592$	−3.56058	−	4.10913i	−0.146339	−	0.168884i
$593$	36.0102	+	23.1423i	1.47876	+	0.950342i	0.997266	+	0.0738931i	$0.0235424\pi$
$593$	36.0102	+	23.1423i	1.47876	+	0.950342i	0.481495	+	0.876449i	$0.340094\pi$
$594$	−3.05508	+	3.52575i	−0.125351	+	0.144663i
$595$	−10.0215	+	2.94258i	−0.410842	+	0.120634i
$596$	0.112423	+	0.246173i	0.00460504	+	0.0100836i
$597$	12.9585			0.530355
$598$	−27.5688	+	6.02757i	−1.12737	+	0.246486i
$599$	40.3971			1.65058			0.825290	−	0.564709i	$-0.191012\pi$
$599$	40.3971			1.65058			0.825290	+	0.564709i	$0.191012\pi$
$600$	−0.897670	−	1.96562i	−0.0366472	−	0.0802462i
$601$	8.18574	−	2.40355i	0.333903	−	0.0980429i	−0.110483	−	0.993878i	$-0.535240\pi$
$601$	8.18574	−	2.40355i	0.333903	−	0.0980429i	0.444387	+	0.895835i	$0.353422\pi$
$602$	2.43734	−	2.81284i	0.0993384	−	0.114643i
$603$	−1.99087	−	1.27945i	−0.0810744	−	0.0521033i
$604$	−6.24334	−	7.20519i	−0.254038	−	0.293175i
$605$	−2.58124	−	17.9529i	−0.104943	−	0.729891i
$606$	−17.3641	−	5.09856i	−0.705369	−	0.207115i
$607$	30.9684	−	19.9022i	1.25697	−	0.807806i	0.269104	−	0.963111i	$-0.413272\pi$
$607$	30.9684	−	19.9022i	1.25697	−	0.807806i	0.987867	+	0.155305i	$0.0496361\pi$
$608$	−0.110675	+	0.769761i	−0.00448846	+	0.0312179i
$609$	−2.42965	+	5.32019i	−0.0984543	+	0.215585i
$610$	6.17078	−	13.5121i	0.249847	−	0.547089i
$611$	0.371678	−	2.58508i	0.0150365	−	0.104581i
$612$	5.21468	−	3.35127i	0.210791	−	0.135467i
$613$	−25.0864	−	7.36605i	−1.01323	−	0.297512i	−0.267357	−	0.963598i	$-0.586150\pi$
$613$	−25.0864	−	7.36605i	−1.01323	−	0.297512i	−0.745875	+	0.666086i	$0.767968\pi$
$614$	−1.33956	−	9.31685i	−0.0540603	−	0.375998i
$615$	−13.4485	−	15.5204i	−0.542297	−	0.625845i
$616$	3.92464	+	2.52221i	0.158128	+	0.101623i
$617$	26.9907	−	31.1490i	1.08661	−	1.25401i	0.121376	−	0.992607i	$-0.461269\pi$
$617$	26.9907	−	31.1490i	1.08661	−	1.25401i	0.965230	−	0.261403i	$-0.0841851\pi$
$618$	6.98478	−	2.05092i	0.280969	−	0.0824999i
$619$	0.386078	+	0.845393i	0.0155178	+	0.0339792i	0.917232	−	0.398353i	$-0.130418\pi$
$619$	0.386078	+	0.845393i	0.0155178	+	0.0339792i	−0.901714	+	0.432332i	$0.857691\pi$
$620$	7.75539			0.311464
$621$	3.38760	−	3.39473i	0.135940	−	0.136226i
$622$	0.622062			0.0249424
$623$	−1.93637	−	4.24006i	−0.0775791	−	0.169874i
$624$	5.64594	−	1.65780i	0.226018	−	0.0663650i
$625$	6.23822	−	7.19929i	0.249529	−	0.287972i
$626$	21.6498	+	13.9135i	0.865299	+	0.556094i
$627$	−2.37586	−	2.74189i	−0.0948828	−	0.109501i
$628$	0.639301	+	4.44643i	0.0255109	+	0.177432i
$629$	−32.3381	−	9.49532i	−1.28940	−	0.378603i
$630$	1.41748	−	0.910960i	0.0564738	−	0.0362935i
$631$	3.87972	−	26.9841i	0.154449	−	1.07422i	−0.754196	−	0.656650i	$-0.771973\pi$
$631$	3.87972	−	26.9841i	0.154449	−	1.07422i	0.908645	−	0.417569i	$-0.137118\pi$
$632$	5.26309	−	11.5246i	0.209354	−	0.458422i
$633$	−4.42650	+	9.69269i	−0.175938	+	0.385250i
$634$	0.0904713	−	0.629242i	0.00359308	−	0.0249904i
$635$	9.22950	−	5.93144i	0.366262	−	0.235382i
$636$	−1.24252	−	0.364836i	−0.0492690	−	0.0144667i
$637$	0.837422	+	5.82440i	0.0331799	+	0.230771i
$638$	17.8683	+	20.6211i	0.707413	+	0.816398i
$639$	−0.916565	−	0.589041i	−0.0362588	−	0.0233021i
$640$	−1.10342	+	1.27341i	−0.0436164	+	0.0503360i
$641$	2.34603	−	0.688858i	0.0926628	−	0.0272082i	−0.235073	−	0.971978i	$-0.575533\pi$
$641$	2.34603	−	0.688858i	0.0926628	−	0.0272082i	0.327735	+	0.944770i	$0.393715\pi$
$642$	−2.93078	−	6.41750i	−0.115668	−	0.253279i
$643$	42.8835			1.69116			0.845580	−	0.533849i	$-0.179255\pi$
$643$	42.8835			1.69116			0.845580	+	0.533849i	$0.179255\pi$
$644$	−3.84228	−	2.87000i	−0.151407	−	0.113094i
$645$	−6.27129			−0.246932
$646$	2.00254	+	4.38496i	0.0787890	+	0.172524i
$647$	−32.2621	+	9.47301i	−1.26835	+	0.372423i	−0.845598	−	0.533820i	$-0.820756\pi$
$647$	−32.2621	+	9.47301i	−1.26835	+	0.372423i	−0.422757	+	0.906243i	$0.638938\pi$
$648$	−0.654861	+	0.755750i	−0.0257254	+	0.0296886i
$649$	−25.8862	−	16.6361i	−1.01612	−	0.653023i
$650$	−8.32679	−	9.60963i	−0.326603	−	0.376921i
$651$	−0.655033	−	4.55586i	−0.0256728	−	0.178558i
$652$	0.0671088	+	0.0197049i	0.00262819	+	0.000771705i
$653$	−38.5299	+	24.7616i	−1.50779	+	0.968998i	−0.513992	+	0.857795i	$0.671834\pi$
$653$	−38.5299	+	24.7616i	−1.50779	+	0.968998i	−0.993798	+	0.111203i	$0.964530\pi$
$654$	2.10246	−	14.6229i	0.0822126	−	0.571801i
$655$	−11.5344	+	25.2569i	−0.450688	+	0.986869i
$656$	5.06312	−	11.0867i	0.197681	−	0.432862i
$657$	−0.134472	+	0.935275i	−0.00524626	+	0.0364885i
$658$	0.373378	−	0.239956i	0.0145558	−	0.00935445i
$659$	30.6451	+	8.99822i	1.19376	+	0.350521i	0.817466	−	0.575977i	$-0.195378\pi$
$659$	30.6451	+	8.99822i	1.19376	+	0.350521i	0.376299	+	0.926498i	$0.377196\pi$
$660$	−1.11870	−	7.78073i	−0.0435453	−	0.302864i
$661$	−22.7704	−	26.2785i	−0.885666	−	1.02211i	−0.999590	−	0.0286238i	$-0.990888\pi$
$661$	−22.7704	−	26.2785i	−0.885666	−	1.02211i	0.113924	−	0.993489i	$-0.463658\pi$
$662$	18.4799	+	11.8763i	0.718241	+	0.461586i
$663$	23.8860	−	27.5659i	0.927656	−	1.07057i
$664$	6.72837	−	1.97563i	0.261111	−	0.0766692i
$665$	0.544342	+	1.19194i	0.0211087	+	0.0462215i
$666$	5.43715			0.210685
$667$	−16.8330	−	22.4371i	−0.651777	−	0.868768i
$668$	18.4782			0.714944
$669$	2.59516	+	5.68260i	0.100335	+	0.219702i
$670$	3.82602	−	1.12342i	0.147812	−	0.0434016i
$671$	−26.9333	+	31.0826i	−1.03975	+	1.19993i
$672$	0.841254	+	0.540641i	0.0324521	+	0.0208557i
$673$	12.8238	+	14.7994i	0.494320	+	0.570476i	0.947015	−	0.321190i	$-0.104083\pi$
$673$	12.8238	+	14.7994i	0.494320	+	0.570476i	−0.452695	+	0.891666i	$0.649537\pi$
$674$	−2.15759	−	15.0064i	−0.0831074	−	0.578024i
$675$	2.07337	+	0.608795i	0.0798039	+	0.0234325i
$676$	18.1920	−	11.6913i	0.699693	−	0.449665i
$677$	−3.61380	+	25.1345i	−0.138889	+	0.965997i	0.794534	+	0.607220i	$0.207715\pi$
$677$	−3.61380	+	25.1345i	−0.138889	+	0.965997i	−0.933423	+	0.358777i	$0.883194\pi$
$678$	4.42530	−	9.69005i	0.169952	−	0.372144i
$679$	−2.18702	+	4.78892i	−0.0839303	+	0.183782i
$680$	−1.48642	+	10.3383i	−0.0570016	+	0.396455i
$681$	0.625853	−	0.402211i	0.0239827	−	0.0154128i
$682$	−20.6029	−	6.04955i	−0.788925	−	0.231649i
$683$	−2.01889	−	14.0417i	−0.0772507	−	0.537291i	−0.991293	−	0.131672i	$-0.957965\pi$
$683$	−2.01889	−	14.0417i	−0.0772507	−	0.537291i	0.914043	−	0.405618i	$-0.132944\pi$
$684$	−0.509270	−	0.587729i	−0.0194724	−	0.0224724i
$685$	16.2257	+	10.4276i	0.619953	+	0.398420i
$686$	−0.654861	+	0.755750i	−0.0250027	+	0.0288547i
$687$	10.3711	−	3.04522i	0.395682	−	0.116183i
$688$	−1.54614	−	3.38557i	−0.0589460	−	0.129074i
$689$	−7.61999			−0.290299
$690$	0.584945	+	8.05960i	0.0222685	+	0.306824i
$691$	−34.8454			−1.32558			−0.662790	−	0.748805i	$-0.730628\pi$
$691$	−34.8454			−1.32558			−0.662790	+	0.748805i	$0.730628\pi$
$692$	−0.609945	−	1.33559i	−0.0231866	−	0.0507716i
$693$	−4.47625	+	1.31435i	−0.170039	+	0.0499279i
$694$	−12.8468	+	14.8259i	−0.487656	+	0.562785i
$695$	−31.0103	−	19.9291i	−1.17629	−	0.755955i
$696$	3.83010	+	4.42017i	0.145180	+	0.167546i
$697$	−10.7519	−	74.7813i	−0.407259	−	2.83255i
$698$	23.4434	+	6.88360i	0.887345	+	0.260548i
$699$	−17.7979	+	11.4380i	−0.673178	+	0.432626i
$700$	0.307528	−	2.13890i	0.0116235	−	0.0808430i
$701$	−13.5899	+	29.7578i	−0.513284	+	1.12394i	0.458636	+	0.888624i	$0.348338\pi$
$701$	−13.5899	+	29.7578i	−0.513284	+	1.12394i	−0.971920	+	0.235311i	$0.924389\pi$
$702$	−2.44442	+	5.35254i	−0.0922588	+	0.202019i
$703$	−0.601757	+	4.18531i	−0.0226957	+	0.157852i
$704$	3.92464	−	2.52221i	0.147915	−	0.0950595i
$705$	−0.717554	−	0.210693i	−0.0270246	−	0.00793515i
$706$	0.454794	+	3.16316i	0.0171164	+	0.119047i
$707$	−11.8511	−	13.6769i	−0.445708	−	0.514374i
$708$	−5.54876	−	3.56597i	−0.208535	−	0.134017i
$709$	11.9087	−	13.7433i	0.447239	−	0.516141i	−0.486702	−	0.873568i	$-0.661800\pi$
$709$	11.9087	−	13.7433i	0.447239	−	0.516141i	0.933941	+	0.357427i	$0.116346\pi$
$710$	1.76144	−	0.517207i	0.0661058	−	0.0194104i
$711$	5.26309	+	11.5246i	0.197381	+	0.432204i
$712$	−4.66129			−0.174689
$713$	20.6901	+	7.69227i	0.774852	+	0.288078i
$714$	6.19870			0.231981
$715$	−19.2150	−	42.0749i	−0.718599	−	1.57351i
$716$	−21.6302	+	6.35121i	−0.808360	+	0.237356i
$717$	−16.3840	+	18.9081i	−0.611871	+	0.706137i
$718$	−18.5080	−	11.8944i	−0.690713	−	0.443894i
$719$	34.7052	+	40.0520i	1.29429	+	1.49369i	0.762826	+	0.646604i	$0.223811\pi$
$719$	34.7052	+	40.0520i	1.29429	+	1.49369i	0.531461	+	0.847083i	$0.321643\pi$
$720$	−0.239795	−	1.66781i	−0.00893664	−	0.0621557i
$721$	6.98478	+	2.05092i	0.260127	+	0.0763801i
$722$	−15.4750	+	9.94521i	−0.575921	+	0.370122i
$723$	−1.60481	+	11.1617i	−0.0596837	+	0.415109i
$724$	6.91612	−	15.1442i	0.257036	−	0.562829i
$725$	5.25022	−	11.4964i	0.194988	−	0.426965i
$726$	−1.53193	+	10.6548i	−0.0568552	+	0.395437i
$727$	29.8942	−	19.2118i	1.10871	−	0.712527i	0.147701	−	0.989032i	$-0.452813\pi$
$727$	29.8942	−	19.2118i	1.10871	−	0.712527i	0.961012	+	0.276506i	$0.0891764\pi$
$728$	5.64594	+	1.65780i	0.209252	+	0.0614420i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	−1.04261	−	1.20324i	−0.0385887	−	0.0445337i
$731$	−19.4086	−	12.4732i	−0.717853	−	0.461336i
$732$	−5.77319	+	6.66262i	−0.213383	+	0.246257i
$733$	−10.8636	+	3.18984i	−0.401256	+	0.117819i	−0.476133	−	0.879373i	$-0.657962\pi$
$733$	−10.8636	+	3.18984i	−0.401256	+	0.117819i	0.0748769	+	0.997193i	$0.476144\pi$
$734$	5.64641	+	12.3639i	0.208413	+	0.456360i
$735$	1.68496			0.0621508
$736$	−4.20678	+	2.30282i	−0.155064	+	0.0848830i
$737$	−11.0405			−0.406682
$738$	5.06312	+	11.0867i	0.186376	+	0.408106i
$739$	−0.499965	+	0.146803i	−0.0183915	+	0.00540023i	−0.290915	−	0.956749i	$-0.593960\pi$
$739$	−0.499965	+	0.146803i	−0.0183915	+	0.00540023i	0.272524	+	0.962149i	$0.412142\pi$
$740$	−5.99944	+	6.92373i	−0.220544	+	0.254521i
$741$	−3.84964	−	2.47401i	−0.141420	−	0.0908852i
$742$	−0.848026	−	0.978675i	−0.0311320	−	0.0359283i
$743$	−3.83266	−	26.6568i	−0.140607	−	0.977942i	−0.930916	−	0.365234i	$-0.880989\pi$
$743$	−3.83266	−	26.6568i	−0.140607	−	0.977942i	0.790309	−	0.612708i	$-0.209920\pi$
$744$	−4.41626	−	1.29673i	−0.161908	−	0.0475405i
$745$	0.383611	−	0.246532i	0.0140544	−	0.00903224i
$746$	1.35871	−	9.45001i	0.0497458	−	0.345989i
$747$	−2.91307	+	6.37872i	−0.106584	+	0.233385i
$748$	12.0131	−	26.3051i	0.439243	−	0.961809i
$749$	1.00404	−	6.98324i	0.0366868	−	0.255162i
$750$	−10.1504	+	6.52329i	−0.370642	+	0.238197i
$751$	43.6176	+	12.8073i	1.59163	+	0.467344i	0.953201	−	0.302338i	$-0.0977672\pi$
$751$	43.6176	+	12.8073i	1.59163	+	0.467344i	0.638427	+	0.769682i	$0.279585\pi$
$752$	−0.0631644	−	0.439318i	−0.00230337	−	0.0160203i
$753$	13.4537	+	15.5264i	0.490281	+	0.565814i
$754$	28.9522	+	18.6065i	1.05438	+	0.677608i
$755$	−10.5198	+	12.1405i	−0.382854	+	0.441838i
$756$	−0.959493	+	0.281733i	−0.0348964	+	0.0102465i
$757$	−18.9062	−	41.3987i	−0.687156	−	1.50466i	−0.854878	−	0.518828i	$-0.826368\pi$
$757$	−18.9062	−	41.3987i	−0.687156	−	1.50466i	0.167722	−	0.985834i	$-0.446359\pi$
$758$	−36.3235			−1.31933
$759$	4.73289	−	21.8673i	0.171793	−	0.793734i
$760$	1.31036			0.0475316
$761$	−1.15274	−	2.52415i	−0.0417868	−	0.0915003i	0.887587	−	0.460639i	$-0.152380\pi$
$761$	−1.15274	−	2.52415i	−0.0417868	−	0.0915003i	−0.929374	+	0.369139i	$0.879653\pi$
$762$	−6.24745	+	1.83442i	−0.226321	+	0.0664539i
$763$	9.67444	−	11.1649i	0.350238	−	0.404197i
$764$	6.09834	+	3.91916i	0.220630	+	0.141790i
$765$	−6.83975	−	7.89349i	−0.247292	−	0.285390i
$766$	4.44945	+	30.9466i	0.160765	+	1.11815i
$767$	−37.2396	−	10.9345i	−1.34464	−	0.394823i
$768$	0.841254	−	0.540641i	0.0303561	−	0.0195087i
$769$	−0.488967	+	3.40084i	−0.0176326	+	0.122637i	−0.996737	−	0.0807228i	$-0.974277\pi$
$769$	−0.488967	+	3.40084i	−0.0176326	+	0.122637i	0.979104	+	0.203360i	$0.0651862\pi$
$770$	3.26547	−	7.15038i	0.117679	−	0.257682i
$771$	−3.97146	+	8.69629i	−0.143029	+	0.313189i
$772$	−0.264245	+	1.83787i	−0.00951039	+	0.0661462i
$773$	22.7372	−	14.6123i	0.817800	−	0.525568i	−0.0635796	−	0.997977i	$-0.520252\pi$
$773$	22.7372	−	14.6123i	0.817800	−	0.525568i	0.881380	+	0.472409i	$0.156615\pi$
$774$	3.57115	+	1.04859i	0.128362	+	0.0376906i
$775$	1.41546	+	9.84475i	0.0508448	+	0.353634i
$776$	3.44763	+	3.97877i	0.123763	+	0.142830i
$777$	4.57402	+	2.93955i	0.164092	+	0.105456i
$778$	−14.3789	+	16.5941i	−0.515508	+	0.594928i
$779$	−9.09445	+	2.67037i	−0.325843	+	0.0956760i
$780$	−4.11876	−	9.01883i	−0.147475	−	0.322926i
$781$	−5.08288			−0.181880
$782$	−14.2197	+	26.1065i	−0.508494	+	0.933568i
$783$	−5.84873			−0.209016
$784$	0.415415	+	0.909632i	0.0148363	+	0.0324869i
$785$	7.26252	−	2.13247i	0.259210	−	0.0761111i
$786$	10.7913	−	12.4538i	0.384912	−	0.444212i
$787$	25.8601	+	16.6193i	0.921813	+	0.592413i	0.913183	−	0.407549i	$-0.133617\pi$
$787$	25.8601	+	16.6193i	0.921813	+	0.592413i	0.00862995	+	0.999963i	$0.497253\pi$
$788$	3.79253	+	4.37682i	0.135103	+	0.155918i
$789$	0.500873	+	3.48365i	0.0178316	+	0.124021i
$790$	−20.4829	−	6.01431i	−0.728747	−	0.213980i
$791$	8.96163	−	5.75929i	0.318639	−	0.204777i
$792$	−0.663931	+	4.61774i	−0.0235918	+	0.164084i
$793$	−21.5498	+	47.1875i	−0.765256	+	1.67568i
$794$	−5.97368	+	13.0805i	−0.211998	+	0.464210i
$795$	−0.310528	+	2.15977i	−0.0110133	+	0.0765992i
$796$	10.9014	−	7.00588i	0.386389	−	0.248317i
$797$	−45.9030	−	13.4783i	−1.62597	−	0.477427i	−0.663355	−	0.748305i	$-0.730868\pi$
$797$	−45.9030	−	13.4783i	−1.62597	−	0.477427i	−0.962614	+	0.270878i	$0.912686\pi$
$798$	−0.110675	−	0.769761i	−0.00391785	−	0.0272492i
$799$	−1.80166	−	2.07922i	−0.0637380	−	0.0735576i
$800$	−1.81786	−	1.16827i	−0.0642712	−	0.0413046i
$801$	3.05250	−	3.52277i	0.107855	−	0.124471i
$802$	29.6916	−	8.71824i	1.04845	−	0.307852i
$803$	1.83121	+	4.00978i	0.0646219	+	0.141502i
$804$	−2.36655			−0.0834617
$805$	−3.86526	+	7.09641i	−0.136233	+	0.250116i
$806$	−27.0837			−0.953981
$807$	−6.04855	−	13.2445i	−0.212919	−	0.466228i
$808$	−17.3641	+	5.09856i	−0.610867	+	0.179367i
$809$	3.00910	−	3.47269i	0.105794	−	0.122093i	−0.700383	−	0.713767i	$-0.746987\pi$
$809$	3.00910	−	3.47269i	0.105794	−	0.122093i	0.806177	+	0.591674i	$0.201533\pi$
$810$	1.41748	+	0.910960i	0.0498052	+	0.0320079i
$811$	14.4709	+	16.7004i	0.508144	+	0.586429i	0.950622	−	0.310350i	$-0.100446\pi$
$811$	14.4709	+	16.7004i	0.508144	+	0.586429i	−0.442479	+	0.896779i	$0.645901\pi$
$812$	0.832360	+	5.78919i	0.0292101	+	0.203161i
$813$	13.4811	+	3.95840i	0.472802	+	0.138827i
$814$	21.3389	−	13.7137i	0.747927	−	0.480664i
$815$	0.0167718	−	0.116650i	0.000587489	−	0.00408608i
$816$	2.57503	−	5.63854i	0.0901442	−	0.197388i
$817$	−1.20240	+	2.63288i	−0.0420665	+	0.0921129i
$818$	−3.05100	+	21.2201i	−0.106676	+	0.741945i
$819$	−4.95018	+	3.18129i	−0.172973	+	0.111163i
$820$	−19.7046	−	5.78580i	−0.688115	−	0.202049i
$821$	0.333250	+	2.31781i	0.0116305	+	0.0808920i	0.994810	−	0.101750i	$-0.0324442\pi$
$821$	0.333250	+	2.31781i	0.0116305	+	0.0808920i	−0.983179	+	0.182642i	$0.941535\pi$
$822$	−7.49611	−	8.65097i	−0.261457	−	0.301737i
$823$	19.9348	+	12.8113i	0.694884	+	0.446575i	0.839819	−	0.542866i	$-0.182661\pi$
$823$	19.9348	+	12.8113i	0.694884	+	0.446575i	−0.144935	+	0.989441i	$0.546297\pi$
$824$	4.76716	−	5.50160i	0.166072	−	0.191657i
$825$	9.67273	−	2.84017i	0.336761	−	0.0988821i
$826$	−2.74000	−	5.99977i	−0.0953370	−	0.208759i
$827$	−48.1701			−1.67504			−0.837519	−	0.546408i	$-0.815995\pi$
$827$	−48.1701			−1.67504			−0.837519	+	0.546408i	$0.815995\pi$
$828$	1.01450	−	4.68730i	0.0352564	−	0.162895i
$829$	12.5146			0.434651			0.217326	−	0.976099i	$-0.430267\pi$
$829$	12.5146			0.434651			0.217326	+	0.976099i	$0.430267\pi$
$830$	−4.90841	−	10.7479i	−0.170373	−	0.373066i
$831$	−28.9485	+	8.50004i	−1.00421	+	0.294863i
$832$	3.85339	−	4.44705i	0.133592	−	0.154174i
$833$	5.21468	+	3.35127i	0.180678	+	0.116115i
$834$	14.3264	+	16.5336i	0.496084	+	0.572511i
$835$	−4.43099	−	30.8182i	−0.153341	−	1.06651i
$836$	−3.48108	−	1.02214i	−0.120396	−	0.0353514i
$837$	3.87204	−	2.48841i	0.133837	−	0.0860121i
$838$	−3.44265	+	23.9441i	−0.118924	+	0.827137i
$839$	0.695268	−	1.52242i	0.0240033	−	0.0525599i	−0.897251	−	0.441522i	$-0.854439\pi$
$839$	0.695268	−	1.52242i	0.0240033	−	0.0525599i	0.921254	+	0.388962i	$0.127166\pi$
$840$	0.699959	−	1.53270i	0.0241509	−	0.0528831i
$841$	−0.741117	+	5.15458i	−0.0255558	+	0.177744i
$842$	−12.8983	+	8.28922i	−0.444504	+	0.285666i
$843$	7.26081	+	2.13197i	0.250076	+	0.0734288i
$844$	1.51645	+	10.5472i	0.0521984	+	0.363048i
$845$	−23.8612	−	27.5373i	−0.820852	−	0.947314i
$846$	0.373378	+	0.239956i	0.0128370	+	0.00824985i
$847$	−7.04916	+	8.13517i	−0.242212	+	0.279528i
$848$	−1.24252	+	0.364836i	−0.0426682	+	0.0125285i
$849$	7.52305	+	16.4732i	0.258190	+	0.565358i
$850$	−13.3948			−0.459437
$851$	−22.8729	+	12.5208i	−0.784074	+	0.429207i
$852$	−1.08952			−0.0373265
$853$	5.25419	+	11.5051i	0.179900	+	0.393926i	0.978002	−	0.208597i	$-0.0668896\pi$
$853$	5.25419	+	11.5051i	0.179900	+	0.393926i	−0.798102	+	0.602523i	$0.794162\pi$
$854$	−8.45880	+	2.48373i	−0.289454	+	0.0849914i
$855$	−0.858101	+	0.990302i	−0.0293464	+	0.0338676i
$856$	−5.93509	−	3.81425i	−0.202857	−	0.130368i
$857$	21.8972	+	25.2707i	0.747994	+	0.863232i	0.994372	−	0.105942i	$-0.0337859\pi$
$857$	21.8972	+	25.2707i	0.747994	+	0.863232i	−0.246378	+	0.969174i	$0.579240\pi$
$858$	3.90677	+	27.1722i	0.133375	+	0.927642i
$859$	28.2204	+	8.28626i	0.962868	+	0.282723i	0.725135	−	0.688607i	$-0.241777\pi$
$859$	28.2204	+	8.28626i	0.962868	+	0.282723i	0.237733	+	0.971331i	$0.423596\pi$
$860$	−5.27575	+	3.39052i	−0.179901	+	0.115616i
$861$	−1.73455	+	12.0640i	−0.0591132	+	0.411141i
$862$	3.78106	−	8.27937i	0.128783	−	0.281996i
$863$	−3.52385	+	7.71615i	−0.119953	+	0.262661i	−0.960078	−	0.279732i	$-0.909754\pi$
$863$	−3.52385	+	7.71615i	−0.119953	+	0.262661i	0.840125	+	0.542393i	$0.182482\pi$
$864$	−0.142315	+	0.989821i	−0.00484165	+	0.0336744i
$865$	−2.08126	+	1.33754i	−0.0707648	+	0.0454778i
$866$	−22.5899	−	6.63299i	−0.767636	−	0.225398i
$867$	−3.04894	−	21.2058i	−0.103547	−	0.720188i
$868$	−3.01413	−	3.47849i	−0.102306	−	0.118068i
$869$	49.7231	+	31.9551i	1.68674	+	1.08400i
$870$	6.45358	−	7.44783i	0.218797	−	0.252505i
$871$	−13.3614	+	3.92326i	−0.452733	+	0.132934i
$872$	−6.13704	−	13.4383i	−0.207827	−	0.455077i
$873$	−5.26467			−0.178182
$874$	3.49582	+	1.29969i	0.118248	+	0.0439627i
$875$	−12.0659			−0.407900
$876$	0.392522	+	0.859504i	0.0132621	+	0.0290400i
$877$	−34.2837	+	10.0666i	−1.15768	+	0.339925i	−0.803530	−	0.595265i	$-0.797047\pi$
$877$	−34.2837	+	10.0666i	−1.15768	+	0.339925i	−0.354148	+	0.935189i	$0.615229\pi$
$878$	−12.2223	+	14.1053i	−0.412482	+	0.476030i
$879$	−21.7587	−	13.9835i	−0.733903	−	0.471651i
$880$	−5.14769	−	5.94075i	−0.173529	−	0.200263i
$881$	−5.81417	−	40.4384i	−0.195884	−	1.36241i	−0.816071	−	0.577951i	$-0.803852\pi$
$881$	−5.81417	−	40.4384i	−0.195884	−	1.36241i	0.620187	−	0.784454i	$-0.287057\pi$
$882$	−0.959493	−	0.281733i	−0.0323078	−	0.00948643i
$883$	8.49392	−	5.45871i	0.285843	−	0.183700i	−0.389860	−	0.920874i	$-0.627477\pi$
$883$	8.49392	−	5.45871i	0.285843	−	0.183700i	0.675703	+	0.737174i	$0.263840\pi$
$884$	5.19093	−	36.1037i	0.174590	−	1.21430i
$885$	−4.61681	+	10.1094i	−0.155192	+	0.339824i
$886$	4.56787	−	10.0022i	0.153461	−	0.336032i
$887$	2.26734	−	15.7697i	0.0761299	−	0.529495i	−0.915694	−	0.401877i	$-0.868358\pi$
$887$	2.26734	−	15.7697i	0.0761299	−	0.529495i	0.991823	−	0.127618i	$-0.0407331\pi$
$888$	4.57402	−	2.93955i	0.153494	−	0.0986447i
$889$	−6.24745	−	1.83442i	−0.209533	−	0.0615243i
$890$	1.11776	+	7.77416i	0.0374673	+	0.260591i
$891$	−3.05508	−	3.52575i	−0.102349	−	0.118117i
$892$	5.25543	+	3.37746i	0.175965	+	0.113086i
$893$	−0.226032	+	0.260855i	−0.00756388	+	0.00872918i
$894$	−0.259667	+	0.0762450i	−0.00868455	+	0.00255001i
$895$	15.7795	+	34.5522i	0.527449	+	1.15495i
$896$	1.00000			0.0334077
$897$	−2.04277	−	28.1460i	−0.0682060	−	0.939769i
$898$	−36.7373			−1.22594
$899$	−11.1830	−	24.4873i	−0.372972	−	0.816696i
$900$	2.07337	−	0.608795i	0.0691122	−	0.0202932i
$901$	−5.25666	+	6.06651i	−0.175125	+	0.202105i
$902$	47.8339	+	30.7410i	1.59269	+	1.02356i
$903$	2.43734	+	2.81284i	0.0811095	+	0.0936053i
$904$	−1.51604	−	10.5443i	−0.0504227	−	0.350698i
$905$	−26.9161	−	7.90329i	−0.894722	−	0.262714i
$906$	8.02038	−	5.15438i	0.266459	−	0.171243i
$907$	−2.07068	+	14.4019i	−0.0687556	+	0.478206i	0.926131	+	0.377203i	$0.123114\pi$
$907$	−2.07068	+	14.4019i	−0.0687556	+	0.478206i	−0.994886	+	0.101003i	$0.967795\pi$
$908$	0.309049	−	0.676723i	0.0102562	−	0.0224578i
$909$	7.51784	−	16.4618i	0.249351	−	0.546002i
$910$	1.41103	−	9.81390i	0.0467750	−	0.325327i
$911$	−14.1001	+	9.06160i	−0.467158	+	0.300224i	−0.752962	−	0.658064i	$-0.771376\pi$
$911$	−14.1001	+	9.06160i	−0.467158	+	0.300224i	0.285804	+	0.958288i	$0.407739\pi$
$912$	−0.746175	−	0.219097i	−0.0247083	−	0.00725502i
$913$	4.65577	+	32.3816i	0.154083	+	1.07167i
$914$	−6.47530	−	7.47289i	−0.214184	−	0.247181i
$915$	12.4964	+	8.03094i	0.413118	+	0.265495i
$916$	7.07834	−	8.16884i	0.233875	−	0.269906i
$917$	15.8112	−	4.64260i	0.522133	−	0.153312i
$918$	2.57503	+	5.63854i	0.0849888	+	0.186099i
$919$	16.7473			0.552441			0.276221	−	0.961094i	$-0.410918\pi$
$919$	16.7473			0.552441			0.276221	+	0.961094i	$0.410918\pi$
$920$	4.84944	+	6.46392i	0.159881	+	0.213109i
$921$	9.41266			0.310158
$922$	−15.9158	−	34.8508i	−0.524159	−	1.14775i
$923$	−6.15138	+	1.80621i	−0.202475	+	0.0594520i
$924$	−3.05508	+	3.52575i	−0.100505	+	0.115989i
$925$	−9.88400	−	6.35206i	−0.324984	−	0.208855i
$926$	14.7254	+	16.9941i	0.483908	+	0.558460i
$927$	1.03600	+	7.20556i	0.0340268	+	0.236662i
$928$	5.61181	+	1.64778i	0.184217	+	0.0540909i
$929$	11.7506	−	7.55163i	0.385523	−	0.247761i	−0.333495	−	0.942752i	$-0.608228\pi$
$929$	11.7506	−	7.55163i	0.385523	−	0.247761i	0.719018	+	0.694991i	$0.244592\pi$
$930$	−1.10371	+	7.67645i	−0.0361920	+	0.251721i
$931$	0.323059	−	0.707400i	0.0105878	−	0.0231841i
$932$	−8.78869	+	19.2445i	−0.287883	+	0.630376i
$933$	−0.0885287	+	0.615731i	−0.00289830	+	0.0201581i
$934$	−23.3463	+	15.0038i	−0.763915	+	0.490938i
$935$	−46.7526	−	13.7278i	−1.52897	−	0.448947i
$936$	0.837422	+	5.82440i	0.0273720	+	0.190376i
$937$	−23.6515	−	27.2953i	−0.772661	−	0.891699i	0.223895	−	0.974613i	$-0.428123\pi$
$937$	−23.6515	−	27.2953i	−0.772661	−	0.891699i	−0.996557	+	0.0829144i	$0.973577\pi$
$938$	−1.99087	−	1.27945i	−0.0650041	−	0.0417756i
$939$	−16.8529	+	19.4493i	−0.549975	+	0.634705i
$940$	−0.717554	+	0.210693i	−0.0234040	+	0.00687204i
$941$	11.2356	+	24.6026i	0.366272	+	0.802023i	0.999604	+	0.0281430i	$0.00895939\pi$
$941$	11.2356	+	24.6026i	0.366272	+	0.802023i	−0.633332	+	0.773880i	$0.718313\pi$
$942$	−4.49216			−0.146362
$943$	−46.8300	−	34.9798i	−1.52500	−	1.13910i
$944$	−6.59582			−0.214676
$945$	0.699959	+	1.53270i	0.0227697	+	0.0498586i
$946$	16.6602	−	4.89189i	0.541671	−	0.159049i
$947$	−24.5012	+	28.2759i	−0.796181	+	0.918842i	−0.998165	−	0.0605469i	$-0.980716\pi$
$947$	−24.5012	+	28.2759i	−0.796181	+	0.918842i	0.201984	+	0.979389i	$0.435261\pi$
$948$	10.6582	+	6.84963i	0.346163	+	0.222466i
$949$	3.64104	+	4.20198i	0.118193	+	0.136402i
$950$	0.239157	+	1.66338i	0.00775929	+	0.0539670i
$951$	0.609962	+	0.179101i	0.0197794	+	0.00580775i
$952$	5.21468	−	3.35127i	0.169009	−	0.108615i
$953$	2.39946	−	16.6886i	0.0777262	−	0.540598i	−0.913337	−	0.407205i	$-0.866504\pi$
$953$	2.39946	−	16.6886i	0.0777262	−	0.540598i	0.991063	−	0.133393i	$-0.0425873\pi$
$954$	0.537951	−	1.17795i	0.0174168	−	0.0381375i
$955$	5.07408	−	11.1107i	0.164193	−	0.359533i
$956$	−3.56058	+	24.7644i	−0.115157	+	0.800937i
$957$	−22.9541	+	14.7517i	−0.742002	+	0.476856i
$958$	11.1107	+	3.26238i	0.358969	+	0.105403i
$959$	−1.62906	−	11.3304i	−0.0526051	−	0.365876i
$960$	−1.10342	−	1.27341i	−0.0356126	−	0.0410991i
$961$	−8.25699	−	5.30644i	−0.266354	−	0.171176i
$962$	20.9515	−	24.1793i	0.675503	−	0.779572i
$963$	6.76927	−	1.98764i	0.218137	−	0.0640507i
$964$	4.68443	+	10.2575i	0.150875	+	0.330371i
$965$	3.12858			0.100713
$966$	3.38760	−	3.39473i	0.108994	−	0.109224i
$967$	−18.1554			−0.583839			−0.291919	−	0.956443i	$-0.594294\pi$
$967$	−18.1554			−0.583839			−0.291919	+	0.956443i	$0.594294\pi$
$968$	4.47168	+	9.79161i	0.143725	+	0.314714i
$969$	−4.62532	+	1.35812i	−0.148587	+	0.0436290i
$970$	5.80913	−	6.70409i	0.186520	−	0.215255i
$971$	31.0619	+	19.9623i	0.996824	+	0.640620i	0.933951	−	0.357402i	$-0.116337\pi$
$971$	31.0619	+	19.9623i	0.996824	+	0.640620i	0.0628730	+	0.998022i	$0.479974\pi$
$972$	−0.654861	−	0.755750i	−0.0210047	−	0.0242407i
$973$	3.11343	+	21.6544i	0.0998120	+	0.694208i
$974$	−34.8485	−	10.2324i	−1.11662	−	0.327869i
$975$	10.6968	−	6.87444i	0.342573	−	0.220158i
$976$	−1.25463	+	8.72618i	−0.0401599	+	0.279318i
$977$	13.6725	−	29.9386i	0.437422	−	0.957821i	−0.554642	−	0.832089i	$-0.687145\pi$
$977$	13.6725	−	29.9386i	0.437422	−	0.957821i	0.992064	−	0.125732i	$-0.0401279\pi$
$978$	−0.0290549	+	0.0636215i	−0.000929075	+	0.00203439i
$979$	3.09478	−	21.5247i	0.0989095	−	0.687931i
$980$	1.41748	−	0.910960i	0.0452798	−	0.0290995i
$981$	14.1749	+	4.16212i	0.452569	+	0.132886i
$982$	−1.64618	−	11.4494i	−0.0525317	−	0.365366i
$983$	−5.99147	−	6.91452i	−0.191098	−	0.220539i	0.652113	−	0.758122i	$-0.273883\pi$
$983$	−5.99147	−	6.91452i	−0.191098	−	0.220539i	−0.843211	+	0.537583i	$0.819337\pi$
$984$	10.2533	+	6.58938i	0.326862	+	0.210062i
$985$	6.39028	−	7.37477i	0.203611	−	0.234980i
$986$	34.7859	−	10.2141i	1.10781	−	0.325282i
$987$	0.184376	+	0.403727i	0.00586875	+	0.0128508i
$988$	−4.57608			−0.145584
$989$	−17.4378	+	3.81254i	−0.554489	+	0.121232i
$990$	7.86074			0.249831
$991$	21.7584	+	47.6443i	0.691180	+	1.51347i	0.850348	+	0.526221i	$0.176391\pi$
$991$	21.7584	+	47.6443i	0.691180	+	1.51347i	−0.159169	+	0.987251i	$0.550881\pi$
$992$	−4.41626	+	1.29673i	−0.140217	+	0.0411713i
$993$	−14.3854	+	16.6016i	−0.456506	+	0.526836i
$994$	−0.916565	−	0.589041i	−0.0290717	−	0.0186832i
$995$	−14.2986	−	16.5015i	−0.453296	−	0.523131i
$996$	0.997972	+	6.94105i	0.0316219	+	0.219935i
$997$	−48.3273	−	14.1902i	−1.53054	−	0.449407i	−0.595324	−	0.803486i	$-0.702976\pi$
$997$	−48.3273	−	14.1902i	−1.53054	−	0.449407i	−0.935216	+	0.354079i	$0.884795\pi$
$998$	25.7703	−	16.5615i	0.815744	−	0.524247i
$999$	−0.773788	+	5.38181i	−0.0244816	+	0.170273i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.i.211.3	✓	40
23.6	even	11	inner	966.2.q.i.673.3	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.i.211.3	✓	40	1.1	even	1	trivial
966.2.q.i.673.3	yes	40	23.6	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(1.41748 + 0.910960i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(1.41748 + 0.910960i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.239795 + 1.66781i) q^{10} +(1.93801 - 4.24364i) q^{11} +(0.415415 - 0.909632i) q^{12} +(0.837422 - 5.82440i) q^{13} +(0.841254 - 0.540641i) q^{14} +(-1.61671 - 0.474709i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-4.05929 - 4.68467i) q^{17} +(0.841254 + 0.540641i) q^{18} +(-0.509270 + 0.587729i) q^{19} +(-1.61671 + 0.474709i) q^{20} +(0.415415 + 0.909632i) q^{21} +4.66523 q^{22} +(-4.78397 - 0.337105i) q^{23} +1.00000 q^{24} +(-0.897670 - 1.96562i) q^{25} +(5.64594 - 1.65780i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(0.841254 + 0.540641i) q^{28} +(3.83010 + 4.42017i) q^{29} +(-0.239795 - 1.66781i) q^{30} +(-4.41626 - 1.29673i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.663931 + 4.61774i) q^{33} +(2.57503 - 5.63854i) q^{34} +(0.699959 - 1.53270i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(4.57402 - 2.93955i) q^{37} +(-0.746175 - 0.219097i) q^{38} +(0.837422 + 5.82440i) q^{39} +(-1.10342 - 1.27341i) q^{40} +(10.2533 + 6.58938i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(3.57115 - 1.04859i) q^{43} +(1.93801 + 4.24364i) q^{44} +1.68496 q^{45} +(-1.68069 - 4.49169i) q^{46} +0.443836 q^{47} +(0.415415 + 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(1.41509 - 1.63310i) q^{50} +(5.21468 + 3.35127i) q^{51} +(3.85339 + 4.44705i) q^{52} +(-0.184294 - 1.28179i) q^{53} +(-0.959493 - 0.281733i) q^{54} +(6.61288 - 4.24984i) q^{55} +(-0.142315 + 0.989821i) q^{56} +(0.323059 - 0.707400i) q^{57} +(-2.42965 + 5.32019i) q^{58} +(0.938684 - 6.52869i) q^{59} +(1.41748 - 0.910960i) q^{60} +(-8.45880 - 2.48373i) q^{61} +(-0.655033 - 4.55586i) q^{62} +(-0.654861 - 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(6.49282 - 7.49312i) q^{65} +(-4.47625 + 1.31435i) q^{66} +(-0.983100 - 2.15269i) q^{67} +6.19870 q^{68} +(4.68516 - 1.02435i) q^{69} +1.68496 q^{70} +(-0.452604 - 0.991065i) q^{71} +(-0.959493 + 0.281733i) q^{72} +(-0.618773 + 0.714102i) q^{73} +(4.57402 + 2.93955i) q^{74} +(1.41509 + 1.63310i) q^{75} +(-0.110675 - 0.769761i) q^{76} +(-4.47625 - 1.31435i) q^{77} +(-4.95018 + 3.18129i) q^{78} +(-1.80305 + 12.5405i) q^{79} +(0.699959 - 1.53270i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-1.73455 + 12.0640i) q^{82} +(-5.89923 + 3.79120i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(-1.48642 - 10.3383i) q^{85} +(2.43734 + 2.81284i) q^{86} +(-4.92026 - 3.16206i) q^{87} +(-3.05508 + 3.52575i) q^{88} +(4.47248 - 1.31324i) q^{89} +(0.699959 + 1.53270i) q^{90} -5.88429 q^{91} +(3.38760 - 3.39473i) q^{92} +4.60271 q^{93} +(0.184376 + 0.403727i) q^{94} +(-1.25728 + 0.369170i) q^{95} +(-0.654861 + 0.755750i) q^{96} +(-4.42893 - 2.84630i) q^{97} +(-0.654861 - 0.755750i) q^{98} +(-0.663931 - 4.61774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

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