LMFDB - Embedded newform 798.2.be.a.607.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(493,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 1, 3]))

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

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

chi := DirichletCharacter("798.493");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.be (of order $6$, degree $2$, 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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$14$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			607.1
Character	$\chi$	$=$	798.607
Dual form			798.2.be.a.493.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 - 0.500000i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-3.04056 - 1.75547i) q^{5} +1.00000i q^{6} +(-0.775540 + 2.52953i) q^{7} -1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.866025 - 0.500000i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-3.04056 - 1.75547i) q^{5} +1.00000i q^{6} +(-0.775540 + 2.52953i) q^{7} -1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +(1.75547 + 3.04056i) q^{10} +(-3.11556 - 5.39631i) q^{11} +(0.500000 - 0.866025i) q^{12} +1.71015 q^{13} +(1.93640 - 1.80287i) q^{14} +3.51093i q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.10633 + 1.21609i) q^{17} +(0.866025 - 0.500000i) q^{18} +(1.82929 - 3.95647i) q^{19} -3.51093i q^{20} +(2.57841 - 0.593130i) q^{21} +6.23112i q^{22} +(-3.08747 + 5.34765i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(3.66333 + 6.34507i) q^{25} +(-1.48103 - 0.855075i) q^{26} +1.00000 q^{27} +(-2.57841 + 0.593130i) q^{28} +8.45121i q^{29} +(1.75547 - 3.04056i) q^{30} +(3.26545 + 5.65593i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-3.11556 + 5.39631i) q^{33} +2.43218 q^{34} +(6.79858 - 6.32976i) q^{35} -1.00000 q^{36} +(-5.63075 - 3.25091i) q^{37} +(-3.56245 + 2.51176i) q^{38} +(-0.855075 - 1.48103i) q^{39} +(-1.75547 + 3.04056i) q^{40} +10.2301 q^{41} +(-2.52953 - 0.775540i) q^{42} +3.42709 q^{43} +(3.11556 - 5.39631i) q^{44} +(3.04056 - 1.75547i) q^{45} +(5.34765 - 3.08747i) q^{46} +(9.47823 + 5.47226i) q^{47} +1.00000 q^{48} +(-5.79708 - 3.92351i) q^{49} -7.32665i q^{50} +(2.10633 + 1.21609i) q^{51} +(0.855075 + 1.48103i) q^{52} +(1.06480 - 0.614763i) q^{53} +(-0.866025 - 0.500000i) q^{54} +21.8771i q^{55} +(2.52953 + 0.775540i) q^{56} +(-4.34105 + 0.394024i) q^{57} +(4.22560 - 7.31896i) q^{58} +(-1.39655 - 2.41890i) q^{59} +(-3.04056 + 1.75547i) q^{60} +(1.47037 + 0.848919i) q^{61} -6.53090i q^{62} +(-1.80287 - 1.93640i) q^{63} -1.00000 q^{64} +(-5.19981 - 3.00211i) q^{65} +(5.39631 - 3.11556i) q^{66} +(4.02612 - 2.32448i) q^{67} +(-2.10633 - 1.21609i) q^{68} +6.17494 q^{69} +(-9.05262 + 2.08244i) q^{70} +1.52368i q^{71} +(0.866025 + 0.500000i) q^{72} +(-8.30457 + 4.79465i) q^{73} +(3.25091 + 5.63075i) q^{74} +(3.66333 - 6.34507i) q^{75} +(4.34105 - 0.394024i) q^{76} +(16.0664 - 3.69586i) q^{77} +1.71015i q^{78} +(-4.76799 - 2.75280i) q^{79} +(3.04056 - 1.75547i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-8.85952 - 5.11505i) q^{82} +10.8381i q^{83} +(1.80287 + 1.93640i) q^{84} +8.53922 q^{85} +(-2.96794 - 1.71354i) q^{86} +(7.31896 - 4.22560i) q^{87} +(-5.39631 + 3.11556i) q^{88} +(0.178584 - 0.309316i) q^{89} -3.51093 q^{90} +(-1.32629 + 4.32588i) q^{91} -6.17494 q^{92} +(3.26545 - 5.65593i) q^{93} +(-5.47226 - 9.47823i) q^{94} +(-12.5075 + 8.81863i) q^{95} +(-0.866025 - 0.500000i) q^{96} +14.3697 q^{97} +(3.05866 + 6.29639i) q^{98} +6.23112 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9}+O(q^{10}) $ 28 * q - 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9	$ 28 q - 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9} - 4 q^{10} + 6 q^{11} + 14 q^{12} + 8 q^{13} + 4 q^{14} - 14 q^{16} - 12 q^{17} + 6 q^{19} + 4 q^{21} + 6 q^{23} + 20 q^{25} + 12 q^{26} + 28 q^{27} - 4 q^{28} - 4 q^{30} + 4 q^{31} + 6 q^{33} + 8 q^{34} - 10 q^{35} - 28 q^{36} + 12 q^{37} - 24 q^{38} - 4 q^{39} + 4 q^{40} + 40 q^{41} - 8 q^{42} + 52 q^{43} - 6 q^{44} + 6 q^{45} + 36 q^{46} - 6 q^{47} + 28 q^{48} + 18 q^{49} + 12 q^{51} + 4 q^{52} + 36 q^{53} + 8 q^{56} - 12 q^{57} + 4 q^{58} + 32 q^{59} - 6 q^{60} + 6 q^{61} - 2 q^{63} - 28 q^{64} - 60 q^{65} - 12 q^{67} - 12 q^{68} - 12 q^{69} - 12 q^{70} + 30 q^{73} + 12 q^{74} + 20 q^{75} + 12 q^{76} + 28 q^{77} - 36 q^{79} + 6 q^{80} - 14 q^{81} + 2 q^{84} + 64 q^{85} - 24 q^{86} + 16 q^{89} + 8 q^{90} - 20 q^{91} + 12 q^{92} + 4 q^{93} + 14 q^{95} - 16 q^{97} - 8 q^{98} - 12 q^{99}+O(q^{100}) $ 28 * q - 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9 - 4 * q^10 + 6 * q^11 + 14 * q^12 + 8 * q^13 + 4 * q^14 - 14 * q^16 - 12 * q^17 + 6 * q^19 + 4 * q^21 + 6 * q^23 + 20 * q^25 + 12 * q^26 + 28 * q^27 - 4 * q^28 - 4 * q^30 + 4 * q^31 + 6 * q^33 + 8 * q^34 - 10 * q^35 - 28 * q^36 + 12 * q^37 - 24 * q^38 - 4 * q^39 + 4 * q^40 + 40 * q^41 - 8 * q^42 + 52 * q^43 - 6 * q^44 + 6 * q^45 + 36 * q^46 - 6 * q^47 + 28 * q^48 + 18 * q^49 + 12 * q^51 + 4 * q^52 + 36 * q^53 + 8 * q^56 - 12 * q^57 + 4 * q^58 + 32 * q^59 - 6 * q^60 + 6 * q^61 - 2 * q^63 - 28 * q^64 - 60 * q^65 - 12 * q^67 - 12 * q^68 - 12 * q^69 - 12 * q^70 + 30 * q^73 + 12 * q^74 + 20 * q^75 + 12 * q^76 + 28 * q^77 - 36 * q^79 + 6 * q^80 - 14 * q^81 + 2 * q^84 + 64 * q^85 - 24 * q^86 + 16 * q^89 + 8 * q^90 - 20 * q^91 + 12 * q^92 + 4 * q^93 + 14 * q^95 - 16 * q^97 - 8 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$1$

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 $

$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$3$	−0.500000	−	0.866025i	−0.288675	−	0.500000i
$3$	−0.500000	−	0.866025i	−0.288675	−	0.500000i
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	−3.04056	−	1.75547i	−1.35978	−	0.785069i	−0.370185	−	0.928958i	$-0.620706\pi$
$5$	−3.04056	−	1.75547i	−1.35978	−	0.785069i	−0.989594	+	0.143890i	$0.954039\pi$
$6$			1.00000i			0.408248i
$7$	−0.775540	+	2.52953i	−0.293126	+	0.956074i
$7$	−0.775540	+	2.52953i	−0.293126	+	0.956074i
$8$		−	1.00000i		−	0.353553i
$9$	−0.500000	+	0.866025i	−0.166667	+	0.288675i
$10$	1.75547	+	3.04056i	0.555127	+	0.961509i
$11$	−3.11556	−	5.39631i	−0.939377	−	1.62705i	−0.766636	−	0.642082i	$-0.778071\pi$
$11$	−3.11556	−	5.39631i	−0.939377	−	1.62705i	−0.172741	−	0.984967i	$-0.555262\pi$
$12$	0.500000	−	0.866025i	0.144338	−	0.250000i
$13$	1.71015			0.474310			0.237155	−	0.971472i	$-0.423785\pi$
$13$	1.71015			0.474310			0.237155	+	0.971472i	$0.423785\pi$
$14$	1.93640	−	1.80287i	0.517526	−	0.481837i
$15$			3.51093i			0.906519i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−2.10633	+	1.21609i	−0.510860	+	0.294945i	−0.733187	−	0.680027i	$-0.761968\pi$
$17$	−2.10633	+	1.21609i	−0.510860	+	0.294945i	0.222327	+	0.974972i	$0.428635\pi$
$18$	0.866025	−	0.500000i	0.204124	−	0.117851i
$19$	1.82929	−	3.95647i	0.419668	−	0.907678i
$19$	1.82929	−	3.95647i	0.419668	−	0.907678i
$20$		−	3.51093i		−	0.785069i
$21$	2.57841	−	0.593130i	0.562655	−	0.129432i
$22$			6.23112i			1.32848i
$23$	−3.08747	+	5.34765i	−0.643782	+	1.11506i	0.340800	+	0.940136i	$0.389302\pi$
$23$	−3.08747	+	5.34765i	−0.643782	+	1.11506i	−0.984582	+	0.174926i	$0.944031\pi$
$24$	−0.866025	+	0.500000i	−0.176777	+	0.102062i
$25$	3.66333	+	6.34507i	0.732665	+	1.26901i
$26$	−1.48103	−	0.855075i	−0.290454	−	0.167694i
$27$	1.00000			0.192450
$28$	−2.57841	+	0.593130i	−0.487274	+	0.112091i
$29$			8.45121i			1.56935i	0.619907	+	0.784675i	$0.287170\pi$
$29$			8.45121i			1.56935i	−0.619907	+	0.784675i	$0.712830\pi$
$30$	1.75547	−	3.04056i	0.320503	−	0.555127i
$31$	3.26545	+	5.65593i	0.586492	+	1.01583i	0.994688	+	0.102940i	$0.0328249\pi$
$31$	3.26545	+	5.65593i	0.586492	+	1.01583i	−0.408195	+	0.912895i	$0.633842\pi$
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$	−3.11556	+	5.39631i	−0.542350	+	0.939377i
$34$	2.43218			0.417115
$35$	6.79858	−	6.32976i	1.14917	−	1.06992i
$36$	−1.00000			−0.166667
$37$	−5.63075	−	3.25091i	−0.925689	−	0.534447i	−0.0402433	−	0.999190i	$-0.512813\pi$
$37$	−5.63075	−	3.25091i	−0.925689	−	0.534447i	−0.885446	+	0.464743i	$0.846147\pi$
$38$	−3.56245	+	2.51176i	−0.577906	+	0.407462i
$39$	−0.855075	−	1.48103i	−0.136922	−	0.237155i
$40$	−1.75547	+	3.04056i	−0.277564	+	0.480754i
$41$	10.2301			1.59767			0.798836	−	0.601549i	$-0.205450\pi$
$41$	10.2301			1.59767			0.798836	+	0.601549i	$0.205450\pi$
$42$	−2.52953	−	0.775540i	−0.390315	−	0.119668i
$43$	3.42709			0.522626			0.261313	−	0.965254i	$-0.415845\pi$
$43$	3.42709			0.522626			0.261313	+	0.965254i	$0.415845\pi$
$44$	3.11556	−	5.39631i	0.469689	−	0.813524i
$45$	3.04056	−	1.75547i	0.453260	−	0.261690i
$46$	5.34765	−	3.08747i	0.788468	−	0.455222i
$47$	9.47823	+	5.47226i	1.38254	+	0.798211i	0.992460	−	0.122570i	$-0.0391135\pi$
$47$	9.47823	+	5.47226i	1.38254	+	0.798211i	0.390081	+	0.920780i	$0.372447\pi$
$48$	1.00000			0.144338
$49$	−5.79708	−	3.92351i	−0.828154	−	0.560501i
$50$		−	7.32665i		−	1.03614i
$51$	2.10633	+	1.21609i	0.294945	+	0.170287i
$52$	0.855075	+	1.48103i	0.118578	+	0.205382i
$53$	1.06480	−	0.614763i	0.146262	−	0.0844442i	−0.425083	−	0.905154i	$-0.639755\pi$
$53$	1.06480	−	0.614763i	0.146262	−	0.0844442i	0.571345	+	0.820710i	$0.306422\pi$
$54$	−0.866025	−	0.500000i	−0.117851	−	0.0680414i
$55$			21.8771i			2.94990i
$56$	2.52953	+	0.775540i	0.338023	+	0.103636i
$57$	−4.34105	+	0.394024i	−0.574987	+	0.0521897i
$58$	4.22560	−	7.31896i	0.554849	−	0.961027i
$59$	−1.39655	−	2.41890i	−0.181816	−	0.314914i	0.760683	−	0.649124i	$-0.224864\pi$
$59$	−1.39655	−	2.41890i	−0.181816	−	0.314914i	−0.942499	+	0.334209i	$0.891531\pi$
$60$	−3.04056	+	1.75547i	−0.392534	+	0.226630i
$61$	1.47037	+	0.848919i	0.188262	+	0.108693i	0.591168	−	0.806548i	$-0.298667\pi$
$61$	1.47037	+	0.848919i	0.188262	+	0.108693i	−0.402907	+	0.915241i	$0.632000\pi$
$62$		−	6.53090i		−	0.829425i
$63$	−1.80287	−	1.93640i	−0.227140	−	0.243964i
$64$	−1.00000			−0.125000
$65$	−5.19981	−	3.00211i	−0.644957	−	0.372366i
$66$	5.39631	−	3.11556i	0.664240	−	0.383499i
$67$	4.02612	−	2.32448i	0.491869	−	0.283981i	−0.233480	−	0.972362i	$-0.575011\pi$
$67$	4.02612	−	2.32448i	0.491869	−	0.283981i	0.725350	+	0.688381i	$0.241678\pi$
$68$	−2.10633	−	1.21609i	−0.255430	−	0.147473i
$69$	6.17494			0.743375
$70$	−9.05262	+	2.08244i	−1.08200	+	0.248899i
$71$			1.52368i			0.180828i	0.995904	+	0.0904139i	$0.0288190\pi$
$71$			1.52368i			0.180828i	−0.995904	+	0.0904139i	$0.971181\pi$
$72$	0.866025	+	0.500000i	0.102062	+	0.0589256i
$73$	−8.30457	+	4.79465i	−0.971977	+	0.561171i	−0.899838	−	0.436223i	$-0.856316\pi$
$73$	−8.30457	+	4.79465i	−0.971977	+	0.561171i	−0.0721386	+	0.997395i	$0.522982\pi$
$74$	3.25091	+	5.63075i	0.377911	+	0.654561i
$75$	3.66333	−	6.34507i	0.423004	−	0.732665i
$76$	4.34105	−	0.394024i	0.497953	−	0.0451976i
$77$	16.0664	−	3.69586i	1.83093	−	0.421183i
$78$			1.71015i			0.193636i
$79$	−4.76799	−	2.75280i	−0.536441	−	0.309714i	0.207194	−	0.978300i	$-0.433567\pi$
$79$	−4.76799	−	2.75280i	−0.536441	−	0.309714i	−0.743635	+	0.668586i	$0.766900\pi$
$80$	3.04056	−	1.75547i	0.339945	−	0.196267i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	−8.85952	−	5.11505i	−0.978370	−	0.564862i
$83$			10.8381i			1.18964i	0.803861	+	0.594818i	$0.202776\pi$
$83$			10.8381i			1.18964i	−0.803861	+	0.594818i	$0.797224\pi$
$84$	1.80287	+	1.93640i	0.196709	+	0.211279i
$85$	8.53922			0.926208
$86$	−2.96794	−	1.71354i	−0.320041	−	0.184776i
$87$	7.31896	−	4.22560i	0.784675	−	0.453032i
$88$	−5.39631	+	3.11556i	−0.575249	+	0.332120i
$89$	0.178584	−	0.309316i	0.0189299	−	0.0327875i	−0.856405	−	0.516304i	$-0.827307\pi$
$89$	0.178584	−	0.309316i	0.0189299	−	0.0327875i	0.875335	+	0.483517i	$0.160641\pi$
$90$	−3.51093			−0.370085
$91$	−1.32629	+	4.32588i	−0.139033	+	0.453476i
$92$	−6.17494			−0.643782
$93$	3.26545	−	5.65593i	0.338611	−	0.586492i
$94$	−5.47226	−	9.47823i	−0.564420	−	0.977604i
$95$	−12.5075	+	8.81863i	−1.28325	+	0.904772i
$96$	−0.866025	−	0.500000i	−0.0883883	−	0.0510310i
$97$	14.3697			1.45903			0.729513	−	0.683967i	$-0.239747\pi$
$97$	14.3697			1.45903			0.729513	+	0.683967i	$0.239747\pi$
$98$	3.05866	+	6.29639i	0.308972	+	0.636032i
$99$	6.23112			0.626251
$100$	−3.66333	+	6.34507i	−0.366333	+	0.634507i
$101$	−4.03579	+	2.33006i	−0.401576	+	0.231850i	−0.687164	−	0.726502i	$-0.741145\pi$
$101$	−4.03579	+	2.33006i	−0.401576	+	0.231850i	0.285588	+	0.958353i	$0.407811\pi$
$102$	−1.21609	−	2.10633i	−0.120411	−	0.208558i
$103$	1.38000	−	2.39024i	0.135976	−	0.235517i	−0.789994	−	0.613115i	$-0.789916\pi$
$103$	1.38000	−	2.39024i	0.135976	−	0.235517i	0.925970	+	0.377598i	$0.123250\pi$
$104$		−	1.71015i		−	0.167694i
$105$	−8.88102	−	2.72287i	−0.866699	−	0.265725i
$106$	−1.22953			−0.119422
$107$	−10.8399	−	6.25841i	−1.04793	−	0.605023i	−0.125861	−	0.992048i	$-0.540169\pi$
$107$	−10.8399	−	6.25841i	−1.04793	−	0.605023i	−0.922069	+	0.387025i	$0.873503\pi$
$108$	0.500000	+	0.866025i	0.0481125	+	0.0833333i
$109$	−14.1519	+	8.17058i	−1.35550	+	0.782599i	−0.989014	−	0.147824i	$-0.952773\pi$
$109$	−14.1519	+	8.17058i	−1.35550	+	0.782599i	−0.366488	+	0.930423i	$0.619440\pi$
$110$	10.9385	−	18.9461i	1.04295	−	1.80644i
$111$			6.50182i			0.617126i
$112$	−1.80287	−	1.93640i	−0.170355	−	0.182973i
$113$			11.2637i			1.05960i	0.848123	+	0.529799i	$0.177733\pi$
$113$			11.2637i			1.05960i	−0.848123	+	0.529799i	$0.822267\pi$
$114$	3.95647	+	1.82929i	0.370558	+	0.171329i
$115$	18.7752	−	10.8399i	1.75080	−	1.01083i
$116$	−7.31896	+	4.22560i	−0.679549	+	0.392338i
$117$	−0.855075	+	1.48103i	−0.0790517	+	0.136922i
$118$			2.79311i			0.257127i
$119$	−1.44260	−	6.27116i	−0.132243	−	0.574876i
$120$	3.51093			0.320503
$121$	−13.9134	+	24.0988i	−1.26486	+	2.19080i
$122$	−0.848919	−	1.47037i	−0.0768575	−	0.133121i
$123$	−5.11505	−	8.85952i	−0.461208	−	0.798836i
$124$	−3.26545	+	5.65593i	−0.293246	+	0.507917i
$125$		−	8.16872i		−	0.730632i
$126$	0.593130	+	2.57841i	0.0528402	+	0.229703i
$127$			11.7702i			1.04443i	0.852813	+	0.522217i	$0.174895\pi$
$127$			11.7702i			1.04443i	−0.852813	+	0.522217i	$0.825105\pi$
$128$	0.866025	+	0.500000i	0.0765466	+	0.0441942i
$129$	−1.71354	−	2.96794i	−0.150869	−	0.261313i
$130$	3.00211	+	5.19981i	0.263303	+	0.456053i
$131$	−2.21640	−	1.27964i	−0.193648	−	0.111803i	0.400041	−	0.916497i	$-0.368996\pi$
$131$	−2.21640	−	1.27964i	−0.193648	−	0.111803i	−0.593689	+	0.804694i	$0.702329\pi$
$132$	−6.23112			−0.542350
$133$	8.58935	+	7.69566i	0.744791	+	0.667298i
$134$	−4.64897			−0.401610
$135$	−3.04056	−	1.75547i	−0.261690	−	0.151087i
$136$	1.21609	+	2.10633i	0.104279	+	0.180616i
$137$	3.87558	+	6.71271i	0.331113	+	0.573505i	0.982730	−	0.185043i	$-0.0592424\pi$
$137$	3.87558	+	6.71271i	0.331113	+	0.573505i	−0.651617	+	0.758548i	$0.725909\pi$
$138$	−5.34765	−	3.08747i	−0.455222	−	0.262823i
$139$		−	9.06623i		−	0.768988i	−0.923128	−	0.384494i	$-0.874376\pi$
$139$		−	9.06623i		−	0.768988i	0.923128	−	0.384494i	$-0.125624\pi$
$140$	8.88102	+	2.72287i	0.750583	+	0.230124i
$141$		−	10.9445i		−	0.921694i
$142$	0.761841	−	1.31955i	0.0639323	−	0.110734i
$143$	−5.32808	−	9.22850i	−0.445556	−	0.771726i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	14.8358	−	25.6964i	1.23205	−	2.13397i
$146$	9.58930			0.793616
$147$	−0.499317	+	6.98217i	−0.0411830	+	0.575880i
$148$		−	6.50182i		−	0.534447i
$149$	−6.53451	+	11.3181i	−0.535328	+	0.927215i	0.463819	+	0.885930i	$0.346479\pi$
$149$	−6.53451	+	11.3181i	−0.535328	+	0.927215i	−0.999147	+	0.0412855i	$0.986855\pi$
$150$	−6.34507	+	3.66333i	−0.518072	+	0.299109i
$151$	16.7098	−	9.64739i	1.35982	−	0.785094i	0.370223	−	0.928943i	$-0.379281\pi$
$151$	16.7098	−	9.64739i	1.35982	−	0.785094i	0.989600	+	0.143849i	$0.0459480\pi$
$152$	−3.95647	−	1.82929i	−0.320912	−	0.148375i
$153$		−	2.43218i		−	0.196630i
$154$	−15.7618	−	4.83248i	−1.27012	−	0.389413i
$155$		−	22.9296i		−	1.84175i
$156$	0.855075	−	1.48103i	0.0684608	−	0.118578i
$157$	−3.74768	+	2.16372i	−0.299097	+	0.172684i	−0.642037	−	0.766673i	$-0.721911\pi$
$157$	−3.74768	+	2.16372i	−0.299097	+	0.172684i	0.342940	+	0.939357i	$0.388577\pi$
$158$	2.75280	+	4.76799i	0.219001	+	0.379321i
$159$	−1.06480	−	0.614763i	−0.0844442	−	0.0487539i
$160$	−3.51093			−0.277564
$161$	−11.1326	−	11.9572i	−0.877372	−	0.942357i
$162$			1.00000i			0.0785674i
$163$	−2.71682	+	4.70568i	−0.212798	+	0.368577i	−0.952589	−	0.304260i	$-0.901591\pi$
$163$	−2.71682	+	4.70568i	−0.212798	+	0.368577i	0.739791	+	0.672837i	$0.234924\pi$
$164$	5.11505	+	8.85952i	0.399418	+	0.691812i
$165$	18.9461	−	10.9385i	1.47495	−	0.851563i
$166$	5.41905	−	9.38607i	0.420600	−	0.728500i
$167$	3.42750			0.265228			0.132614	−	0.991168i	$-0.457663\pi$
$167$	3.42750			0.265228			0.132614	+	0.991168i	$0.457663\pi$
$168$	−0.593130	−	2.57841i	−0.0457609	−	0.198929i
$169$	−10.0754			−0.775030
$170$	−7.39518	−	4.26961i	−0.567185	−	0.327464i
$171$	2.51176	+	3.56245i	0.192079	+	0.272427i
$172$	1.71354	+	2.96794i	0.130656	+	0.226304i
$173$	−1.11605	+	1.93305i	−0.0848515	+	0.146967i	−0.905328	−	0.424713i	$-0.860375\pi$
$173$	−1.11605	+	1.93305i	−0.0848515	+	0.146967i	0.820476	+	0.571680i	$0.193708\pi$
$174$	−8.45121			−0.640685
$175$	−18.8911	+	4.34565i	−1.42803	+	0.328501i
$176$	6.23112			0.469689
$177$	−1.39655	+	2.41890i	−0.104971	+	0.181816i
$178$	−0.309316	+	0.178584i	−0.0231842	+	0.0133854i
$179$	−3.23500	+	1.86773i	−0.241795	+	0.139600i	−0.616001	−	0.787745i	$-0.711248\pi$
$179$	−3.23500	+	1.86773i	−0.241795	+	0.139600i	0.374206	+	0.927345i	$0.377915\pi$
$180$	3.04056	+	1.75547i	0.226630	+	0.130845i
$181$	−20.2972			−1.50868			−0.754339	−	0.656485i	$-0.772042\pi$
$181$	−20.2972			−1.50868			−0.754339	+	0.656485i	$0.772042\pi$
$182$	3.31154	−	3.08318i	0.245468	−	0.228540i
$183$		−	1.69784i		−	0.125508i
$184$	5.34765	+	3.08747i	0.394234	+	0.227611i
$185$	11.4137	+	19.7692i	0.839155	+	1.45346i
$186$	−5.65593	+	3.26545i	−0.414713	+	0.239434i
$187$	13.1248	+	7.57761i	0.959780	+	0.554129i
$188$			10.9445i			0.798211i
$189$	−0.775540	+	2.52953i	−0.0564122	+	0.183996i
$190$	15.2411	−	1.38339i	1.10571	−	0.100362i
$191$	10.5848	−	18.3334i	0.765887	−	1.32656i	−0.173889	−	0.984765i	$-0.555634\pi$
$191$	10.5848	−	18.3334i	0.765887	−	1.32656i	0.939776	−	0.341790i	$-0.111033\pi$
$192$	0.500000	+	0.866025i	0.0360844	+	0.0625000i
$193$	−10.7390	+	6.20018i	−0.773012	+	0.446299i	−0.833948	−	0.551843i	$-0.813925\pi$
$193$	−10.7390	+	6.20018i	−0.773012	+	0.446299i	0.0609360	+	0.998142i	$0.480591\pi$
$194$	−12.4446	−	7.18487i	−0.893467	−	0.515843i
$195$			6.00422i			0.429971i
$196$	0.499317	−	6.98217i	0.0356655	−	0.498726i
$197$	−12.1819			−0.867921			−0.433960	−	0.900932i	$-0.642884\pi$
$197$	−12.1819			−0.867921			−0.433960	+	0.900932i	$0.642884\pi$
$198$	−5.39631	−	3.11556i	−0.383499	−	0.221413i
$199$	2.50544	−	1.44651i	0.177606	−	0.102541i	−0.408562	−	0.912731i	$-0.633969\pi$
$199$	2.50544	−	1.44651i	0.177606	−	0.102541i	0.586167	+	0.810190i	$0.300636\pi$
$200$	6.34507	−	3.66333i	0.448664	−	0.259036i
$201$	−4.02612	−	2.32448i	−0.283981	−	0.163956i
$202$	4.66013			0.327886
$203$	−21.3776	−	6.55425i	−1.50041	−	0.460018i
$204$			2.43218i			0.170287i
$205$	−31.1052	−	17.9586i	−2.17248	−	1.25428i
$206$	−2.39024	+	1.38000i	−0.166536	+	0.0961494i
$207$	−3.08747	−	5.34765i	−0.214594	−	0.371687i
$208$	−0.855075	+	1.48103i	−0.0592888	+	0.102691i
$209$	−27.0496	+	2.45521i	−1.87106	+	0.169830i
$210$	6.32976	+	6.79858i	0.436795	+	0.469147i
$211$		−	5.19522i		−	0.357653i	−0.983881	−	0.178827i	$-0.942770\pi$
$211$		−	5.19522i		−	0.357653i	0.983881	−	0.178827i	$-0.0572301\pi$
$212$	1.06480	+	0.614763i	0.0731308	+	0.0422221i
$213$	1.31955	−	0.761841i	0.0904139	−	0.0522005i
$214$	6.25841	+	10.8399i	0.427816	+	0.740999i
$215$	−10.4202	−	6.01613i	−0.710655	−	0.410297i
$216$		−	1.00000i		−	0.0680414i
$217$	−16.8393	+	3.87367i	−1.14313	+	0.262962i
$218$	16.3412			1.10676
$219$	8.30457	+	4.79465i	0.561171	+	0.323992i
$220$	−18.9461	+	10.9385i	−1.27734	+	0.737475i
$221$	−3.60214	+	2.07970i	−0.242306	+	0.139895i
$222$	3.25091	−	5.63075i	0.218187	−	0.377911i
$223$	−11.3398			−0.759369			−0.379685	−	0.925116i	$-0.623967\pi$
$223$	−11.3398			−0.759369			−0.379685	+	0.925116i	$0.623967\pi$
$224$	0.593130	+	2.57841i	0.0396301	+	0.172277i
$225$	−7.32665			−0.488443
$226$	5.63184	−	9.75464i	0.374625	−	0.648869i
$227$	14.9822	+	25.9500i	0.994406	+	1.72236i	0.588675	+	0.808370i	$0.299650\pi$
$227$	14.9822	+	25.9500i	0.994406	+	1.72236i	0.405731	+	0.913992i	$0.367017\pi$
$228$	−2.51176	−	3.56245i	−0.166345	−	0.235929i
$229$	−7.99142	−	4.61385i	−0.528088	−	0.304892i	0.212149	−	0.977237i	$-0.431954\pi$
$229$	−7.99142	−	4.61385i	−0.528088	−	0.304892i	−0.740238	+	0.672345i	$0.765287\pi$
$230$	−21.6798			−1.42952
$231$	−11.2339	−	12.0660i	−0.739137	−	0.793882i
$232$	8.45121			0.554849
$233$	−5.30701	+	9.19201i	−0.347674	+	0.602189i	−0.985836	−	0.167714i	$-0.946362\pi$
$233$	−5.30701	+	9.19201i	−0.347674	+	0.602189i	0.638162	+	0.769902i	$0.279695\pi$
$234$	1.48103	−	0.855075i	0.0968182	−	0.0558980i
$235$	−19.2127	−	33.2774i	−1.25330	−	2.17078i
$236$	1.39655	−	2.41890i	0.0909080	−	0.157457i
$237$			5.50560i			0.357627i
$238$	−1.88625	+	6.15228i	−0.122268	+	0.398793i
$239$	−14.5390			−0.940448			−0.470224	−	0.882547i	$-0.655827\pi$
$239$	−14.5390			−0.940448			−0.470224	+	0.882547i	$0.655827\pi$
$240$	−3.04056	−	1.75547i	−0.196267	−	0.113315i
$241$	−1.01761	−	1.76255i	−0.0655498	−	0.113536i	0.831388	−	0.555692i	$-0.187547\pi$
$241$	−1.01761	−	1.76255i	−0.0655498	−	0.113536i	−0.896938	+	0.442157i	$0.854213\pi$
$242$	24.0988	−	13.9134i	1.54913	−	0.894390i
$243$	−0.500000	+	0.866025i	−0.0320750	+	0.0555556i
$244$			1.69784i			0.108693i
$245$	10.7388	+	22.1062i	0.686074	+	1.41231i
$246$			10.2301i			0.652247i
$247$	3.12836	−	6.76616i	0.199053	−	0.430521i
$248$	5.65593	−	3.26545i	0.359152	−	0.207356i
$249$	9.38607	−	5.41905i	0.594818	−	0.343418i
$250$	−4.08436	+	7.07432i	−0.258317	+	0.447419i
$251$		−	24.8242i		−	1.56689i	−0.621461	−	0.783445i	$-0.713460\pi$
$251$		−	24.8242i		−	1.56689i	0.621461	−	0.783445i	$-0.286540\pi$
$252$	0.775540	−	2.52953i	0.0488544	−	0.159346i
$253$	38.4768			2.41901
$254$	5.88508	−	10.1933i	0.369263	−	0.639582i
$255$	−4.26961	−	7.39518i	−0.267373	−	0.463104i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	5.90598	−	10.2295i	0.368405	−	0.638096i	−0.620911	−	0.783881i	$-0.713237\pi$
$257$	5.90598	−	10.2295i	0.368405	−	0.638096i	0.989316	+	0.145785i	$0.0465707\pi$
$258$			3.42709i			0.213361i
$259$	12.5902	−	11.7219i	0.782314	−	0.728366i
$260$		−	6.00422i		−	0.372366i
$261$	−7.31896	−	4.22560i	−0.453032	−	0.261558i
$262$	1.27964	+	2.21640i	0.0790565	+	0.136930i
$263$	−1.93853	−	3.35764i	−0.119535	−	0.207041i	0.800048	−	0.599935i	$-0.204807\pi$
$263$	−1.93853	−	3.35764i	−0.119535	−	0.207041i	−0.919583	+	0.392895i	$0.871474\pi$
$264$	5.39631	+	3.11556i	0.332120	+	0.191750i
$265$	−4.31678			−0.265178
$266$	−3.59076	−	10.9593i	−0.220164	−	0.671958i
$267$	−0.357168			−0.0218583
$268$	4.02612	+	2.32448i	0.245935	+	0.141990i
$269$	13.9427	+	24.1495i	0.850102	+	1.47242i	0.881116	+	0.472901i	$0.156793\pi$
$269$	13.9427	+	24.1495i	0.850102	+	1.47242i	−0.0310138	+	0.999519i	$0.509874\pi$
$270$	1.75547	+	3.04056i	0.106834	+	0.185042i
$271$	3.70860	+	2.14116i	0.225282	+	0.130066i	0.608393	−	0.793636i	$-0.291814\pi$
$271$	3.70860	+	2.14116i	0.225282	+	0.130066i	−0.383112	+	0.923702i	$0.625148\pi$
$272$		−	2.43218i		−	0.147473i
$273$	4.40947	−	1.01434i	0.266873	−	0.0613907i
$274$		−	7.75117i		−	0.468265i
$275$	22.8266	−	39.5369i	1.37650	−	2.38416i
$276$	3.08747	+	5.34765i	0.185844	+	0.321891i
$277$	12.8811	+	22.3108i	0.773952	+	1.34052i	0.935381	+	0.353640i	$0.115056\pi$
$277$	12.8811	+	22.3108i	0.773952	+	1.34052i	−0.161429	+	0.986884i	$0.551610\pi$
$278$	−4.53312	+	7.85159i	−0.271878	+	0.470907i
$279$	−6.53090			−0.390995
$280$	−6.32976	−	6.79858i	−0.378275	−	0.406293i
$281$		−	13.6506i		−	0.814328i	−0.913355	−	0.407164i	$-0.866518\pi$
$281$		−	13.6506i		−	0.814328i	0.913355	−	0.407164i	$-0.133482\pi$
$282$	−5.47226	+	9.47823i	−0.325868	+	0.564420i
$283$	−10.5268	+	6.07762i	−0.625751	+	0.361277i	−0.779104	−	0.626894i	$-0.784326\pi$
$283$	−10.5268	+	6.07762i	−0.625751	+	0.361277i	0.153354	+	0.988171i	$0.450993\pi$
$284$	−1.31955	+	0.761841i	−0.0783007	+	0.0452069i
$285$	13.8909	+	6.42252i	0.822827	+	0.380437i
$286$			10.6562i			0.630112i
$287$	−7.93384	+	25.8774i	−0.468320	+	1.52749i
$288$			1.00000i			0.0589256i
$289$	−5.54225	+	9.59946i	−0.326015	+	0.564674i
$290$	−25.6964	+	14.8358i	−1.50894	+	0.871189i
$291$	−7.18487	−	12.4446i	−0.421184	−	0.729513i
$292$	−8.30457	−	4.79465i	−0.485988	−	0.280586i
$293$	23.7996			1.39039			0.695193	−	0.718823i	$-0.255319\pi$
$293$	23.7996			1.39039			0.695193	+	0.718823i	$0.255319\pi$
$294$	3.92351	−	5.79708i	0.228824	−	0.338092i
$295$			9.80642i			0.570952i
$296$	−3.25091	+	5.63075i	−0.188955	+	0.327280i
$297$	−3.11556	−	5.39631i	−0.180783	−	0.313126i
$298$	11.3181	−	6.53451i	0.655640	−	0.378534i
$299$	−5.28003	+	9.14528i	−0.305352	+	0.528885i
$300$	7.32665			0.423004
$301$	−2.65784	+	8.66893i	−0.153195	+	0.499669i
$302$	−19.2948			−1.11029
$303$	4.03579	+	2.33006i	0.231850	+	0.133859i
$304$	2.51176	+	3.56245i	0.144059	+	0.204321i
$305$	−2.98050	−	5.16237i	−0.170663	−	0.295597i
$306$	−1.21609	+	2.10633i	−0.0695192	+	0.120411i
$307$	10.0192			0.571827			0.285913	−	0.958255i	$-0.407703\pi$
$307$	10.0192			0.571827			0.285913	+	0.958255i	$0.407703\pi$
$308$	11.2339	+	12.0660i	0.640111	+	0.687522i
$309$	−2.76001			−0.157011
$310$	−11.4648	+	19.8576i	−0.651156	+	1.12783i
$311$	3.67671	−	2.12275i	0.208487	−	0.120370i	−0.392121	−	0.919914i	$-0.628259\pi$
$311$	3.67671	−	2.12275i	0.208487	−	0.120370i	0.600608	+	0.799544i	$0.294925\pi$
$312$	−1.48103	+	0.855075i	−0.0838470	+	0.0484091i
$313$	14.0114	+	8.08948i	0.791971	+	0.457244i	0.840656	−	0.541570i	$-0.182170\pi$
$313$	14.0114	+	8.08948i	0.791971	+	0.457244i	−0.0486852	+	0.998814i	$0.515503\pi$
$314$	4.32745			0.244212
$315$	2.08244	+	9.05262i	0.117332	+	0.510058i
$316$		−	5.50560i		−	0.309714i
$317$	3.71400	+	2.14428i	0.208599	+	0.120435i	0.600660	−	0.799504i	$-0.294904\pi$
$317$	3.71400	+	2.14428i	0.208599	+	0.120435i	−0.392061	+	0.919939i	$0.628238\pi$
$318$	0.614763	+	1.06480i	0.0344742	+	0.0597111i
$319$	45.6054	−	26.3303i	2.55341	−	1.47421i
$320$	3.04056	+	1.75547i	0.169972	+	0.0981336i
$321$			12.5168i			0.698620i
$322$	3.66254	+	15.9215i	0.204105	+	0.887271i
$323$	0.958337	+	10.5582i	0.0533233	+	0.587475i
$324$	0.500000	−	0.866025i	0.0277778	−	0.0481125i
$325$	6.26484	+	10.8510i	0.347511	+	0.601906i
$326$	4.70568	−	2.71682i	0.260623	−	0.150471i
$327$	14.1519	+	8.17058i	0.782599	+	0.451834i
$328$		−	10.2301i		−	0.564862i
$329$	−21.1930	+	19.7315i	−1.16841	+	1.08783i
$330$	−21.8771			−1.20429
$331$	4.11274	+	2.37449i	0.226057	+	0.130514i	0.608752	−	0.793361i	$-0.291671\pi$
$331$	4.11274	+	2.37449i	0.226057	+	0.130514i	−0.382695	+	0.923875i	$0.625004\pi$
$332$	−9.38607	+	5.41905i	−0.515127	+	0.297409i
$333$	5.63075	−	3.25091i	0.308563	−	0.178149i
$334$	−2.96830	−	1.71375i	−0.162418	−	0.0937723i
$335$	−16.3222			−0.891778
$336$	−0.775540	+	2.52953i	−0.0423091	+	0.137997i
$337$			19.6469i			1.07024i	0.844777	+	0.535119i	$0.179733\pi$
$337$			19.6469i			1.07024i	−0.844777	+	0.535119i	$0.820267\pi$
$338$	8.72554	+	5.03769i	0.474607	+	0.274014i
$339$	9.75464	−	5.63184i	0.529799	−	0.305880i
$340$	4.26961	+	7.39518i	0.231552	+	0.401060i
$341$	20.3474	−	35.2428i	1.10187	−	1.90850i
$342$	−0.394024	−	4.34105i	−0.0213064	−	0.234737i
$343$	14.4205	−	11.6211i	0.778634	−	0.627479i
$344$		−	3.42709i		−	0.184776i
$345$	−18.7752	−	10.8399i	−1.01083	−	0.583600i
$346$	1.93305	−	1.11605i	0.103921	−	0.0599991i
$347$	−4.09707	−	7.09634i	−0.219942	−	0.380952i	0.734848	−	0.678232i	$-0.237254\pi$
$347$	−4.09707	−	7.09634i	−0.219942	−	0.380952i	−0.954790	+	0.297281i	$0.903920\pi$
$348$	7.31896	+	4.22560i	0.392338	+	0.226516i
$349$		−	11.7748i		−	0.630290i	−0.949043	−	0.315145i	$-0.897947\pi$
$349$		−	11.7748i		−	0.630290i	0.949043	−	0.315145i	$-0.102053\pi$
$350$	18.5330	+	5.68211i	0.990631	+	0.303721i
$351$	1.71015			0.0912810
$352$	−5.39631	−	3.11556i	−0.287624	−	0.166060i
$353$	−22.8785	+	13.2089i	−1.21770	+	0.703038i	−0.964425	−	0.264357i	$-0.914840\pi$
$353$	−22.8785	+	13.2089i	−1.21770	+	0.703038i	−0.253273	+	0.967395i	$0.581507\pi$
$354$	2.41890	−	1.39655i	0.128563	−	0.0742261i
$355$	2.67477	−	4.63284i	0.141962	−	0.245886i
$356$	0.357168			0.0189299
$357$	−4.70968	+	4.38490i	−0.249263	+	0.232074i
$358$	3.73545			0.197425
$359$	12.1778	−	21.0927i	0.642722	−	1.11323i	−0.342100	−	0.939663i	$-0.611138\pi$
$359$	12.1778	−	21.0927i	0.642722	−	1.11323i	0.984823	−	0.173564i	$-0.0555284\pi$
$360$	−1.75547	−	3.04056i	−0.0925212	−	0.160251i
$361$	−12.3074	−	14.4751i	−0.647757	−	0.761847i
$362$	17.5779	+	10.1486i	0.923873	+	0.533398i
$363$	27.8269			1.46053
$364$	−4.40947	+	1.01434i	−0.231119	+	0.0531659i
$365$	33.6674			1.76223
$366$	−0.848919	+	1.47037i	−0.0443737	+	0.0768575i
$367$	21.2890	−	12.2912i	1.11128	−	0.641595i	0.172116	−	0.985077i	$-0.444940\pi$
$367$	21.2890	−	12.2912i	1.11128	−	0.641595i	0.939159	+	0.343481i	$0.111606\pi$
$368$	−3.08747	−	5.34765i	−0.160945	−	0.278766i
$369$	−5.11505	+	8.85952i	−0.266279	+	0.461208i
$370$		−	22.8275i		−	1.18674i
$371$	0.729269	+	3.17022i	0.0378617	+	0.164590i
$372$	6.53090			0.338611
$373$	21.3129	+	12.3050i	1.10354	+	0.637130i	0.937149	−	0.348930i	$-0.113455\pi$
$373$	21.3129	+	12.3050i	1.10354	+	0.637130i	0.166392	+	0.986060i	$0.446788\pi$
$374$	−7.57761	−	13.1248i	−0.391829	−	0.678667i
$375$	−7.07432	+	4.08436i	−0.365316	+	0.210915i
$376$	5.47226	−	9.47823i	0.282210	−	0.488802i
$377$			14.4528i			0.744359i
$378$	1.93640	−	1.80287i	0.0995979	−	0.0927296i
$379$			11.1357i			0.572001i	0.958229	+	0.286001i	$0.0923259\pi$
$379$			11.1357i			0.572001i	−0.958229	+	0.286001i	$0.907674\pi$
$380$	−13.8909	−	6.42252i	−0.712589	−	0.329468i
$381$	10.1933	−	5.88508i	0.522217	−	0.301502i
$382$	−18.3334	+	10.5848i	−0.938016	+	0.541564i
$383$	10.2877	−	17.8189i	0.525678	−	0.910501i	−0.473874	−	0.880592i	$-0.657145\pi$
$383$	10.2877	−	17.8189i	0.525678	−	0.910501i	0.999553	−	0.0299089i	$-0.00952172\pi$
$384$		−	1.00000i		−	0.0510310i
$385$	−55.3387	−	16.9665i	−2.82032	−	0.864694i
$386$	12.4004			0.631162
$387$	−1.71354	+	2.96794i	−0.0871043	+	0.150869i
$388$	7.18487	+	12.4446i	0.364756	+	0.631776i
$389$	1.03261	+	1.78854i	0.0523555	+	0.0906823i	0.891015	−	0.453973i	$-0.149994\pi$
$389$	1.03261	+	1.78854i	0.0523555	+	0.0906823i	−0.838660	+	0.544655i	$0.816660\pi$
$390$	3.00211	−	5.19981i	0.152018	−	0.263303i
$391$		−	15.0186i		−	0.759521i
$392$	−3.92351	+	5.79708i	−0.198167	+	0.292797i
$393$			2.55928i			0.129099i
$394$	10.5498	+	6.09093i	0.531491	+	0.306856i
$395$	9.66490	+	16.7401i	0.486294	+	0.842285i
$396$	3.11556	+	5.39631i	0.156563	+	0.271175i
$397$	−11.1977	−	6.46502i	−0.561998	−	0.324470i	0.191949	−	0.981405i	$-0.438519\pi$
$397$	−11.1977	−	6.46502i	−0.561998	−	0.324470i	−0.753947	+	0.656935i	$0.771853\pi$
$398$	−2.89303			−0.145014
$399$	2.36996	−	11.2864i	0.118647	−	0.565028i
$400$	−7.32665			−0.366333
$401$	17.8221	+	10.2896i	0.889994	+	0.513838i	0.873941	−	0.486033i	$-0.161556\pi$
$401$	17.8221	+	10.2896i	0.889994	+	0.513838i	0.0160534	+	0.999871i	$0.494890\pi$
$402$	2.32448	+	4.02612i	0.115935	+	0.200805i
$403$	5.58441	+	9.67248i	0.278179	+	0.481821i
$404$	−4.03579	−	2.33006i	−0.200788	−	0.115925i
$405$			3.51093i			0.174460i
$406$	15.2364	+	16.3650i	0.756172	+	0.812179i
$407$			40.5137i			2.00819i
$408$	1.21609	−	2.10633i	0.0602054	−	0.104279i
$409$	6.74653	+	11.6853i	0.333595	+	0.577803i	0.983214	−	0.182457i	$-0.0584050\pi$
$409$	6.74653	+	11.6853i	0.333595	+	0.577803i	−0.649619	+	0.760260i	$0.725072\pi$
$410$	17.9586	+	31.1052i	0.886911	+	1.53618i
$411$	3.87558	−	6.71271i	0.191168	−	0.331113i
$412$	2.76001			0.135976
$413$	7.20178	−	1.65668i	0.354376	−	0.0815197i
$414$			6.17494i			0.303482i
$415$	19.0259	−	32.9539i	0.933946	−	1.61764i
$416$	1.48103	−	0.855075i	0.0726136	−	0.0419235i
$417$	−7.85159	+	4.53312i	−0.384494	+	0.221988i
$418$	24.6533	+	11.3985i	1.20583	+	0.557521i
$419$			29.3713i			1.43488i	0.696620	+	0.717441i	$0.254687\pi$
$419$			29.3713i			1.43488i	−0.696620	+	0.717441i	$0.745313\pi$
$420$	−2.08244	−	9.05262i	−0.101613	−	0.441723i
$421$			3.22798i			0.157322i	0.996901	+	0.0786612i	$0.0250645\pi$
$421$			3.22798i			0.157322i	−0.996901	+	0.0786612i	$0.974935\pi$
$422$	−2.59761	+	4.49919i	−0.126450	+	0.219017i
$423$	−9.47823	+	5.47226i	−0.460847	+	0.266070i
$424$	−0.614763	−	1.06480i	−0.0298555	−	0.0517113i
$425$	−15.4323	−	8.90987i	−0.748578	−	0.432192i
$426$	−1.52368			−0.0738226
$427$	−3.28770	+	3.06098i	−0.159103	+	0.148131i
$428$		−	12.5168i		−	0.605023i
$429$	−5.32808	+	9.22850i	−0.257242	+	0.445556i
$430$	6.01613	+	10.4202i	0.290124	+	0.502509i
$431$	−29.2595	+	16.8930i	−1.40938	+	0.813705i	−0.995328	−	0.0965491i	$-0.969220\pi$
$431$	−29.2595	+	16.8930i	−1.40938	+	0.813705i	−0.414050	+	0.910254i	$0.635886\pi$
$432$	−0.500000	+	0.866025i	−0.0240563	+	0.0416667i
$433$	−8.06171			−0.387421			−0.193710	−	0.981059i	$-0.562052\pi$
$433$	−8.06171			−0.387421			−0.193710	+	0.981059i	$0.562052\pi$
$434$	16.5201	+	5.06497i	0.792992	+	0.243126i
$435$	−29.6716			−1.42265
$436$	−14.1519	−	8.17058i	−0.677751	−	0.391300i
$437$	15.5100	+	21.9979i	0.741942	+	1.05230i
$438$	−4.79465	−	8.30457i	−0.229097	−	0.396808i
$439$	−9.51178	+	16.4749i	−0.453972	+	0.786303i	−0.998628	−	0.0523564i	$-0.983327\pi$
$439$	−9.51178	+	16.4749i	−0.453972	+	0.786303i	0.544656	+	0.838659i	$0.316660\pi$
$440$	21.8771			1.04295
$441$	6.29639	−	3.05866i	0.299828	−	0.145651i
$442$	4.15939			0.197842
$443$	−18.1843	+	31.4962i	−0.863964	+	1.49643i	0.00410723	+	0.999992i	$0.498693\pi$
$443$	−18.1843	+	31.4962i	−0.863964	+	1.49643i	−0.868072	+	0.496439i	$0.834641\pi$
$444$	−5.63075	+	3.25091i	−0.267223	+	0.154281i
$445$	−1.08599	+	0.626996i	−0.0514808	+	0.0297225i
$446$	9.82055	+	5.66990i	0.465017	+	0.268478i
$447$	13.0690			0.618144
$448$	0.775540	−	2.52953i	0.0366408	−	0.119509i
$449$		−	35.6602i		−	1.68291i	−0.540328	−	0.841455i	$-0.681700\pi$
$449$		−	35.6602i		−	1.68291i	0.540328	−	0.841455i	$-0.318300\pi$
$450$	6.34507	+	3.66333i	0.299109	+	0.172691i
$451$	−31.8725	−	55.2047i	−1.50082	−	2.59949i
$452$	−9.75464	+	5.63184i	−0.458820	+	0.264900i
$453$	−16.7098	−	9.64739i	−0.785094	−	0.453274i
$454$		−	29.9645i		−	1.40630i
$455$	11.6266	−	10.8248i	0.545063	−	0.507476i
$456$	0.394024	+	4.34105i	0.0184519	+	0.203288i
$457$	0.0128765	−	0.0223027i	0.000602336	−	0.00104328i	−0.865724	−	0.500522i	$-0.833142\pi$
$457$	0.0128765	−	0.0223027i	0.000602336	−	0.00104328i	0.866326	+	0.499478i	$0.166475\pi$
$458$	4.61385	+	7.99142i	0.215591	+	0.373415i
$459$	−2.10633	+	1.21609i	−0.0983150	+	0.0567622i
$460$	18.7752	+	10.8399i	0.875400	+	0.505413i
$461$			32.4313i			1.51048i	0.655449	+	0.755239i	$0.272479\pi$
$461$			32.4313i			1.51048i	−0.655449	+	0.755239i	$0.727521\pi$
$462$	3.69586	+	16.0664i	0.171947	+	0.747476i
$463$	−14.7520			−0.685585			−0.342792	−	0.939411i	$-0.611373\pi$
$463$	−14.7520			−0.685585			−0.342792	+	0.939411i	$0.611373\pi$
$464$	−7.31896	−	4.22560i	−0.339774	−	0.196169i
$465$	−19.8576	+	11.4648i	−0.920873	+	0.531666i
$466$	9.19201	−	5.30701i	0.425812	−	0.245842i
$467$	10.3285	+	5.96318i	0.477947	+	0.275943i	0.719561	−	0.694430i	$-0.244343\pi$
$467$	10.3285	+	5.96318i	0.477947	+	0.275943i	−0.241613	+	0.970373i	$0.577677\pi$
$468$	−1.71015			−0.0790517
$469$	2.75744	+	11.9869i	0.127327	+	0.553506i
$470$			38.4255i			1.77243i
$471$	3.74768	+	2.16372i	0.172684	+	0.0996991i
$472$	−2.41890	+	1.39655i	−0.111339	+	0.0642816i
$473$	−10.6773	−	18.4936i	−0.490943	−	0.850337i
$474$	2.75280	−	4.76799i	0.126440	−	0.219001i
$475$	31.8054	−	2.88688i	1.45933	−	0.132459i
$476$	4.70968	−	4.38490i	0.215868	−	0.200982i
$477$			1.22953i			0.0562961i
$478$	12.5911	+	7.26949i	0.575905	+	0.332499i
$479$	27.1169	−	15.6559i	1.23900	−	0.715337i	0.270111	−	0.962829i	$-0.412940\pi$
$479$	27.1169	−	15.6559i	1.23900	−	0.715337i	0.968890	+	0.247492i	$0.0796063\pi$
$480$	1.75547	+	3.04056i	0.0801257	+	0.138782i
$481$	−9.62942	−	5.55955i	−0.439064	−	0.253494i
$482$			2.03521i			0.0927014i
$483$	−4.78891	+	15.6197i	−0.217903	+	0.710721i
$484$	−27.8269			−1.26486
$485$	−43.6920	−	25.2256i	−1.98395	−	1.14543i
$486$	0.866025	−	0.500000i	0.0392837	−	0.0226805i
$487$	25.6533	−	14.8109i	1.16246	−	0.671148i	0.210569	−	0.977579i	$-0.432468\pi$
$487$	25.6533	−	14.8109i	1.16246	−	0.671148i	0.951893	+	0.306431i	$0.0991350\pi$
$488$	0.848919	−	1.47037i	0.0384287	−	0.0665605i
$489$	5.43365			0.245718
$490$	1.75307	−	24.5139i	0.0791956	−	1.10743i
$491$	−7.56319			−0.341322			−0.170661	−	0.985330i	$-0.554590\pi$
$491$	−7.56319			−0.341322			−0.170661	+	0.985330i	$0.554590\pi$
$492$	5.11505	−	8.85952i	0.230604	−	0.399418i
$493$	−10.2774	−	17.8010i	−0.462872	−	0.801718i
$494$	−6.09232	+	4.29549i	−0.274107	+	0.193263i
$495$	−18.9461	−	10.9385i	−0.851563	−	0.491650i
$496$	−6.53090			−0.293246
$497$	−3.85420	−	1.18168i	−0.172885	−	0.0530054i
$498$	−10.8381			−0.485667
$499$	3.84591	−	6.66131i	0.172166	−	0.298201i	−0.767011	−	0.641634i	$-0.778257\pi$
$499$	3.84591	−	6.66131i	0.172166	−	0.298201i	0.939177	+	0.343433i	$0.111590\pi$
$500$	7.07432	−	4.08436i	0.316373	−	0.182658i
$501$	−1.71375	−	2.96830i	−0.0765647	−	0.132614i
$502$	−12.4121	+	21.4984i	−0.553980	+	0.959521i
$503$			31.4442i			1.40203i	0.713148	+	0.701014i	$0.247269\pi$
$503$			31.4442i			1.40203i	−0.713148	+	0.701014i	$0.752731\pi$
$504$	−1.93640	+	1.80287i	−0.0862543	+	0.0803062i
$505$	16.3614			0.728073
$506$	−33.3219	−	19.2384i	−1.48134	−	0.855251i
$507$	5.03769	+	8.72554i	0.223732	+	0.387515i
$508$	−10.1933	+	5.88508i	−0.452253	+	0.261108i
$509$	−21.5889	+	37.3931i	−0.956911	+	1.65742i	−0.226978	+	0.973900i	$0.572884\pi$
$509$	−21.5889	+	37.3931i	−0.956911	+	1.65742i	−0.729933	+	0.683518i	$0.760449\pi$
$510$			8.53922i			0.378123i
$511$	−5.68770	−	24.7251i	−0.251609	−	1.09378i
$512$			1.00000i			0.0441942i
$513$	1.82929	−	3.95647i	0.0807652	−	0.174683i
$514$	−10.2295	+	5.90598i	−0.451202	+	0.260502i
$515$	−8.39196	+	4.84510i	−0.369794	+	0.213501i
$516$	1.71354	−	2.96794i	0.0754345	−	0.130656i
$517$		−	68.1966i		−	2.99928i
$518$	−16.7644	+	3.85643i	−0.736584	+	0.169442i
$519$	2.23209			0.0979781
$520$	−3.00211	+	5.19981i	−0.131651	+	0.228027i
$521$	−12.7860	−	22.1460i	−0.560165	−	0.970235i	−0.997482	−	0.0709270i	$-0.977404\pi$
$521$	−12.7860	−	22.1460i	−0.560165	−	0.970235i	0.437316	−	0.899308i	$-0.355929\pi$
$522$	4.22560	+	7.31896i	0.184950	+	0.320342i
$523$	−18.6096	+	32.2328i	−0.813741	+	1.40944i	0.0964873	+	0.995334i	$0.469239\pi$
$523$	−18.6096	+	32.2328i	−0.813741	+	1.40944i	−0.910228	+	0.414107i	$0.864094\pi$
$524$		−	2.55928i		−	0.111803i
$525$	13.2090	+	14.1874i	0.576488	+	0.619187i
$526$			3.87706i			0.169048i
$527$	−13.7562	−	7.94216i	−0.599231	−	0.345966i
$528$	−3.11556	−	5.39631i	−0.135587	−	0.234844i
$529$	−7.56491	−	13.1028i	−0.328909	−	0.569688i
$530$	3.73845	+	2.15839i	0.162388	+	0.0937546i
$531$	2.79311			0.121211
$532$	−2.36996	+	11.2864i	−0.102751	+	0.489328i
$533$	17.4950			0.757792
$534$	0.309316	+	0.178584i	0.0133854	+	0.00772808i
$535$	21.9728	+	38.0581i	0.949969	+	1.64539i
$536$	−2.32448	−	4.02612i	−0.100402	−	0.173902i
$537$	3.23500	+	1.86773i	0.139600	+	0.0805984i
$538$		−	27.8854i		−	1.20223i
$539$	−3.11131	+	43.5068i	−0.134014	+	1.87397i
$540$		−	3.51093i		−	0.151087i
$541$	−7.36828	+	12.7622i	−0.316787	+	0.548691i	−0.979816	−	0.199903i	$-0.935937\pi$
$541$	−7.36828	+	12.7622i	−0.316787	+	0.548691i	0.663029	+	0.748594i	$0.269271\pi$
$542$	−2.14116	−	3.70860i	−0.0919708	−	0.159298i
$543$	10.1486	+	17.5779i	0.435518	+	0.754339i
$544$	−1.21609	+	2.10633i	−0.0521394	+	0.0903081i
$545$	57.3727			2.45758
$546$	−4.32588	−	1.32629i	−0.185131	−	0.0567599i
$547$		−	5.01838i		−	0.214571i	−0.994228	−	0.107285i	$-0.965784\pi$
$547$		−	5.01838i		−	0.214571i	0.994228	−	0.107285i	$-0.0342158\pi$
$548$	−3.87558	+	6.71271i	−0.165557	+	0.286753i
$549$	−1.47037	+	0.848919i	−0.0627539	+	0.0362310i
$550$	−39.5369	+	22.8266i	−1.68586	+	0.973331i
$551$	33.4370	+	15.4597i	1.42446	+	0.658607i
$552$		−	6.17494i		−	0.262823i
$553$	10.6611	−	9.92588i	0.453355	−	0.422091i
$554$		−	25.7623i		−	1.09453i
$555$	11.4137	−	19.7692i	0.484486	−	0.839155i
$556$	7.85159	−	4.53312i	0.332981	−	0.192247i
$557$	−13.4896	−	23.3647i	−0.571574	−	0.989996i	−0.996405	−	0.0847228i	$-0.973000\pi$
$557$	−13.4896	−	23.3647i	−0.571574	−	0.989996i	0.424830	−	0.905273i	$-0.360334\pi$
$558$	5.65593	+	3.26545i	0.239434	+	0.138238i
$559$	5.86083			0.247887
$560$	2.08244	+	9.05262i	0.0879991	+	0.382543i
$561$		−	15.1552i		−	0.639853i
$562$	−6.82532	+	11.8218i	−0.287909	+	0.498672i
$563$	−12.7686	−	22.1158i	−0.538131	−	0.932070i	−0.999005	−	0.0446046i	$-0.985797\pi$
$563$	−12.7686	−	22.1158i	−0.538131	−	0.932070i	0.460874	−	0.887466i	$-0.347536\pi$
$564$	9.47823	−	5.47226i	0.399105	−	0.230424i
$565$	19.7730	−	34.2479i	0.831858	−	1.44082i
$566$	12.1552			0.510923
$567$	2.57841	−	0.593130i	0.108283	−	0.0249091i
$568$	1.52368			0.0639323
$569$	26.9411	+	15.5544i	1.12943	+	0.652076i	0.943791	−	0.330542i	$-0.107232\pi$
$569$	26.9411	+	15.5544i	1.12943	+	0.652076i	0.185638	+	0.982618i	$0.440565\pi$
$570$	−8.81863	−	12.5075i	−0.369372	−	0.523883i
$571$	3.33339	+	5.77361i	0.139498	+	0.241618i	0.927307	−	0.374302i	$-0.122118\pi$
$571$	3.33339	+	5.77361i	0.139498	+	0.241618i	−0.787809	+	0.615920i	$0.788784\pi$
$572$	5.32808	−	9.22850i	0.222778	−	0.385863i
$573$	−21.1695			−0.884370
$574$	19.8096	−	18.4435i	0.826836	−	0.769818i
$575$	−45.2416			−1.88671
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	−9.96202	+	5.75157i	−0.414724	+	0.239441i	−0.692818	−	0.721113i	$-0.743631\pi$
$577$	−9.96202	+	5.75157i	−0.414724	+	0.239441i	0.278093	+	0.960554i	$0.410298\pi$
$578$	9.59946	−	5.54225i	0.399285	−	0.230527i
$579$	10.7390	+	6.20018i	0.446299	+	0.257671i
$580$	29.6716			1.23205
$581$	−27.4153	−	8.40537i	−1.13738	−	0.348714i
$582$			14.3697i			0.595645i
$583$	−6.63491	−	3.83066i	−0.274790	−	0.158650i
$584$	4.79465	+	8.30457i	0.198404	+	0.343646i
$585$	5.19981	−	3.00211i	0.214986	−	0.124122i
$586$	−20.6110	−	11.8998i	−0.851434	−	0.491576i
$587$			8.31635i			0.343253i	0.985162	+	0.171626i	$0.0549022\pi$
$587$			8.31635i			0.343253i	−0.985162	+	0.171626i	$0.945098\pi$
$588$	−6.29639	+	3.05866i	−0.259659	+	0.126137i
$589$	28.3510	−	2.57333i	1.16818	−	0.106032i
$590$	4.90321	−	8.49261i	0.201862	−	0.349635i
$591$	6.09093	+	10.5498i	0.250547	+	0.433960i
$592$	5.63075	−	3.25091i	0.231422	−	0.133612i
$593$	−21.6554	−	12.5027i	−0.889280	−	0.513426i	−0.0155730	−	0.999879i	$-0.504957\pi$
$593$	−21.6554	−	12.5027i	−0.889280	−	0.513426i	−0.873707	+	0.486453i	$0.838291\pi$
$594$			6.23112i			0.255666i
$595$	−6.62250	+	21.6002i	−0.271496	+	0.885524i
$596$	−13.0690			−0.535328
$597$	−2.50544	−	1.44651i	−0.102541	−	0.0592019i
$598$	9.14528	−	5.28003i	0.373978	−	0.215917i
$599$	−40.5753	+	23.4262i	−1.65786	+	0.957168i	−0.684165	+	0.729328i	$0.739833\pi$
$599$	−40.5753	+	23.4262i	−1.65786	+	0.957168i	−0.973699	+	0.227840i	$0.926834\pi$
$600$	−6.34507	−	3.66333i	−0.259036	−	0.149555i
$601$	9.70793			0.395995			0.197997	−	0.980203i	$-0.436556\pi$
$601$	9.70793			0.395995			0.197997	+	0.980203i	$0.436556\pi$
$602$	6.63622	−	6.17859i	0.270472	−	0.251821i
$603$			4.64897i			0.189321i
$604$	16.7098	+	9.64739i	0.679911	+	0.392547i
$605$	84.6093	−	48.8492i	3.43986	−	1.98600i
$606$	−2.33006	−	4.03579i	−0.0946524	−	0.163943i
$607$	11.2009	−	19.4005i	0.454630	−	0.787443i	−0.544037	−	0.839062i	$-0.683105\pi$
$607$	11.2009	−	19.4005i	0.454630	−	0.787443i	0.998667	+	0.0516187i	$0.0164381\pi$
$608$	−0.394024	−	4.34105i	−0.0159798	−	0.176053i
$609$	5.01266	+	21.7907i	0.203123	+	0.883003i
$610$			5.96099i			0.241354i
$611$	16.2092	+	9.35838i	0.655753	+	0.378599i
$612$	2.10633	−	1.21609i	0.0851433	−	0.0491575i
$613$	3.25267	+	5.63379i	0.131374	+	0.227547i	0.924207	−	0.381893i	$-0.124728\pi$
$613$	3.25267	+	5.63379i	0.131374	+	0.227547i	−0.792832	+	0.609440i	$0.791394\pi$
$614$	−8.67689	−	5.00961i	−0.350171	−	0.202171i
$615$			35.9172i			1.44832i
$616$	−3.69586	−	16.0664i	−0.148911	−	0.647333i
$617$	−21.3726			−0.860427			−0.430214	−	0.902727i	$-0.641562\pi$
$617$	−21.3726			−0.860427			−0.430214	+	0.902727i	$0.641562\pi$
$618$	2.39024	+	1.38000i	0.0961494	+	0.0555119i
$619$	−10.6521	+	6.14998i	−0.428143	+	0.247189i	−0.698555	−	0.715556i	$-0.746173\pi$
$619$	−10.6521	+	6.14998i	−0.428143	+	0.247189i	0.270412	+	0.962745i	$0.412840\pi$
$620$	19.8576	−	11.4648i	0.797500	−	0.460437i
$621$	−3.08747	+	5.34765i	−0.123896	+	0.214594i
$622$	−4.24550			−0.170229
$623$	0.643927	+	0.691621i	0.0257984	+	0.0277092i
$624$	1.71015			0.0684608
$625$	3.97672	−	6.88788i	0.159069	−	0.275515i
$626$	−8.08948	−	14.0114i	−0.323321	−	0.560008i
$627$	15.6511	+	22.1981i	0.625044	+	0.886505i
$628$	−3.74768	−	2.16372i	−0.149549	−	0.0863420i
$629$	15.8136			0.630530
$630$	2.72287	−	8.88102i	0.108482	−	0.353828i
$631$	44.5493			1.77348			0.886740	−	0.462269i	$-0.152965\pi$
$631$	44.5493			1.77348			0.886740	+	0.462269i	$0.152965\pi$
$632$	−2.75280	+	4.76799i	−0.109501	+	0.189660i
$633$	−4.49919	+	2.59761i	−0.178827	+	0.103246i
$634$	−2.14428	−	3.71400i	−0.0851602	−	0.147502i
$635$	20.6621	−	35.7879i	0.819952	−	1.42020i
$636$		−	1.22953i		−	0.0487539i
$637$	−9.91387	−	6.70978i	−0.392802	−	0.265851i
$638$	−52.6605			−2.08485
$639$	−1.31955	−	0.761841i	−0.0522005	−	0.0301380i
$640$	−1.75547	−	3.04056i	−0.0693909	−	0.120189i
$641$	29.0859	−	16.7928i	1.14882	−	0.663274i	0.200224	−	0.979750i	$-0.435833\pi$
$641$	29.0859	−	16.7928i	1.14882	−	0.663274i	0.948600	+	0.316476i	$0.102500\pi$
$642$	6.25841	−	10.8399i	0.247000	−	0.427816i
$643$		−	8.26868i		−	0.326085i	−0.986619	−	0.163042i	$-0.947869\pi$
$643$		−	8.26868i		−	0.326085i	0.986619	−	0.163042i	$-0.0521307\pi$
$644$	4.78891	−	15.6197i	0.188709	−	0.615503i
$645$			12.0323i			0.473770i
$646$	4.44917	−	9.62286i	0.175050	−	0.378606i
$647$	10.7347	−	6.19766i	0.422023	−	0.243655i	−0.273920	−	0.961753i	$-0.588320\pi$
$647$	10.7347	−	6.19766i	0.422023	−	0.243655i	0.695942	+	0.718098i	$0.254987\pi$
$648$	−0.866025	+	0.500000i	−0.0340207	+	0.0196419i
$649$	−8.70210	+	15.0725i	−0.341587	+	0.591647i
$650$		−	12.5297i		−	0.491454i
$651$	11.7744	+	12.6465i	0.461474	+	0.495654i
$652$	−5.43365			−0.212798
$653$	−7.48146	+	12.9583i	−0.292772	+	0.507096i	−0.974464	−	0.224543i	$-0.927911\pi$
$653$	−7.48146	+	12.9583i	−0.292772	+	0.507096i	0.681692	+	0.731639i	$0.261244\pi$
$654$	−8.17058	−	14.1519i	−0.319495	−	0.553381i
$655$	4.49273	+	7.78164i	0.175546	+	0.304054i
$656$	−5.11505	+	8.85952i	−0.199709	+	0.345906i
$657$		−	9.58930i		−	0.374114i
$658$	28.2194	−	6.49152i	1.10011	−	0.253066i
$659$		−	14.7637i		−	0.575113i	−0.957764	−	0.287557i	$-0.907157\pi$
$659$		−	14.7637i		−	0.575113i	0.957764	−	0.287557i	$-0.0928430\pi$
$660$	18.9461	+	10.9385i	0.737475	+	0.425782i
$661$	−20.2984	−	35.1578i	−0.789515	−	1.36748i	−0.926264	−	0.376875i	$-0.876999\pi$
$661$	−20.2984	−	35.1578i	−0.789515	−	1.36748i	0.136749	−	0.990606i	$-0.456335\pi$
$662$	−2.37449	−	4.11274i	−0.0922872	−	0.159846i
$663$	3.60214	+	2.07970i	0.139895	+	0.0807687i
$664$	10.8381			0.420600
$665$	−12.6069	−	38.4774i	−0.488876	−	1.49209i
$666$	−6.50182			−0.251941
$667$	−45.1941	−	26.0928i	−1.74992	−	1.01032i
$668$	1.71375	+	2.96830i	0.0663070	+	0.114847i
$669$	5.66990	+	9.82055i	0.219211	+	0.379685i
$670$	14.1355	+	8.16111i	0.546100	+	0.315291i
$671$		−	10.5794i		−	0.408414i
$672$	1.93640	−	1.80287i	0.0746984	−	0.0695472i
$673$			5.31055i			0.204707i	0.994748	+	0.102353i	$0.0326373\pi$
$673$			5.31055i			0.204707i	−0.994748	+	0.102353i	$0.967363\pi$
$674$	9.82347	−	17.0147i	0.378386	−	0.655384i
$675$	3.66333	+	6.34507i	0.141001	+	0.244222i
$676$	−5.03769	−	8.72554i	−0.193757	−	0.335598i
$677$	−2.37602	+	4.11539i	−0.0913179	+	0.158167i	−0.908066	−	0.418827i	$-0.862441\pi$
$677$	−2.37602	+	4.11539i	−0.0913179	+	0.158167i	0.816748	+	0.576995i	$0.195775\pi$
$678$	−11.2637			−0.432579
$679$	−11.1443	+	36.3487i	−0.427679	+	1.39494i
$680$		−	8.53922i		−	0.327464i
$681$	14.9822	−	25.9500i	0.574121	−	0.994406i
$682$	−35.2428	+	20.3474i	−1.34952	+	0.779143i
$683$	32.1337	−	18.5524i	1.22956	−	0.709888i	0.262624	−	0.964898i	$-0.415412\pi$
$683$	32.1337	−	18.5524i	1.22956	−	0.709888i	0.966938	+	0.255011i	$0.0820790\pi$
$684$	−1.82929	+	3.95647i	−0.0699447	+	0.151280i
$685$		−	27.2138i		−	1.03979i
$686$	−18.2991	+	2.85389i	−0.698661	+	0.108962i
$687$			9.22770i			0.352059i
$688$	−1.71354	+	2.96794i	−0.0653282	+	0.113152i
$689$	1.82097	−	1.05134i	0.0693734	−	0.0400528i
$690$	10.8399	+	18.7752i	0.412668	+	0.714761i
$691$	−23.1830	−	13.3847i	−0.881924	−	0.509179i	−0.0106319	−	0.999943i	$-0.503384\pi$
$691$	−23.1830	−	13.3847i	−0.881924	−	0.509179i	−0.871292	+	0.490764i	$0.836718\pi$
$692$	−2.23209			−0.0848515
$693$	−4.83248	+	15.7618i	−0.183571	+	0.598743i
$694$			8.19415i			0.311046i
$695$	−15.9155	+	27.5664i	−0.603708	+	1.04565i
$696$	−4.22560	−	7.31896i	−0.160171	−	0.277425i
$697$	−21.5479	+	12.4407i	−0.816186	+	0.471225i
$698$	−5.88740	+	10.1973i	−0.222841	+	0.385972i
$699$	10.6140			0.401459
$700$	−13.2090	−	14.1874i	−0.499253	−	0.536232i
$701$	−7.16577			−0.270647			−0.135324	−	0.990801i	$-0.543207\pi$
$701$	−7.16577			−0.270647			−0.135324	+	0.990801i	$0.543207\pi$
$702$	−1.48103	−	0.855075i	−0.0558980	−	0.0322727i
$703$	−23.1624	+	16.3310i	−0.873588	+	0.615937i
$704$	3.11556	+	5.39631i	0.117422	+	0.203381i
$705$	−19.2127	+	33.2774i	−0.723593	+	1.25330i
$706$	26.4178			0.994246
$707$	−2.76406	−	12.0157i	−0.103953	−	0.451898i
$708$	−2.79311			−0.104971
$709$	−24.6059	+	42.6187i	−0.924095	+	1.60058i	−0.131086	+	0.991371i	$0.541846\pi$
$709$	−24.6059	+	42.6187i	−0.924095	+	1.60058i	−0.793010	+	0.609209i	$0.791487\pi$
$710$	−4.63284	+	2.67477i	−0.173867	+	0.100382i
$711$	4.76799	−	2.75280i	0.178814	−	0.103238i
$712$	−0.309316	−	0.178584i	−0.0115921	−	0.00669271i
$713$	−40.3279			−1.51029
$714$	6.27116	−	1.44260i	0.234692	−	0.0539879i
$715$			37.4130i			1.39917i
$716$	−3.23500	−	1.86773i	−0.120898	−	0.0698002i
$717$	7.26949	+	12.5911i	0.271484	+	0.470224i
$718$	−21.0927	+	12.1778i	−0.787171	+	0.454473i
$719$	−29.4877	−	17.0247i	−1.09971	−	0.634916i	−0.163563	−	0.986533i	$-0.552299\pi$
$719$	−29.4877	−	17.0247i	−1.09971	−	0.634916i	−0.936144	+	0.351617i	$0.885632\pi$
$720$			3.51093i			0.130845i
$721$	4.97594	+	5.34449i	0.185314	+	0.199039i
$722$	3.42096	+	18.6895i	0.127315	+	0.695551i
$723$	−1.01761	+	1.76255i	−0.0378452	+	0.0655498i
$724$	−10.1486	−	17.5779i	−0.377169	−	0.653277i
$725$	−53.6235	+	30.9595i	−1.99153	+	1.14981i
$726$	−24.0988	−	13.9134i	−0.894390	−	0.516376i
$727$			10.4619i			0.388010i	0.981001	+	0.194005i	$0.0621477\pi$
$727$			10.4619i			0.388010i	−0.981001	+	0.194005i	$0.937852\pi$
$728$	4.32588	+	1.32629i	0.160328	+	0.0491555i
$729$	1.00000			0.0370370
$730$	−29.1568	−	16.8337i	−1.07914	−	0.623043i
$731$	−7.21857	+	4.16764i	−0.266988	+	0.154146i
$732$	1.47037	−	0.848919i	0.0543464	−	0.0313769i
$733$	25.5017	+	14.7234i	0.941928	+	0.543822i	0.890564	−	0.454858i	$-0.150310\pi$
$733$	25.5017	+	14.7234i	0.941928	+	0.543822i	0.0513637	+	0.998680i	$0.483643\pi$
$734$	−24.5824			−0.907353
$735$	13.7752	−	20.3531i	0.508105	−	0.750737i
$736$			6.17494i			0.227611i
$737$	−25.0873	−	14.4841i	−0.924102	−	0.533530i
$738$	8.85952	−	5.11505i	0.326123	−	0.188287i
$739$	4.28680	+	7.42495i	0.157692	+	0.273131i	0.934036	−	0.357179i	$-0.116261\pi$
$739$	4.28680	+	7.42495i	0.157692	+	0.273131i	−0.776344	+	0.630310i	$0.782928\pi$
$740$	−11.4137	+	19.7692i	−0.419577	+	0.726729i
$741$	−7.42385	+	0.673840i	−0.272722	+	0.0247541i
$742$	0.953546	−	3.11013i	0.0350058	−	0.114176i
$743$		−	42.3930i		−	1.55525i	−0.628729	−	0.777624i	$-0.716425\pi$
$743$		−	42.3930i		−	1.55525i	0.628729	−	0.777624i	$-0.283575\pi$
$744$	−5.65593	−	3.26545i	−0.207356	−	0.119717i
$745$	39.7371	−	22.9422i	1.45586	−	0.840538i
$746$	−12.3050	−	21.3129i	−0.450519	−	0.780321i
$747$	−9.38607	−	5.41905i	−0.343418	−	0.198273i
$748$			15.1552i			0.554129i
$749$	24.2376	−	22.5662i	0.885623	−	0.824551i
$750$	8.16872			0.298279
$751$	7.21726	+	4.16689i	0.263361	+	0.152052i	0.625867	−	0.779930i	$-0.284745\pi$
$751$	7.21726	+	4.16689i	0.263361	+	0.152052i	−0.362506	+	0.931982i	$0.618079\pi$
$752$	−9.47823	+	5.47226i	−0.345635	+	0.199553i
$753$	−21.4984	+	12.4121i	−0.783445	+	0.452322i
$754$	7.22642	−	12.5165i	0.263171	−	0.455825i
$755$	−67.7427			−2.46541
$756$	−2.57841	+	0.593130i	−0.0937759	+	0.0215719i
$757$	−1.73342			−0.0630023			−0.0315011	−	0.999504i	$-0.510029\pi$
$757$	−1.73342			−0.0630023			−0.0315011	+	0.999504i	$0.510029\pi$
$758$	5.56784	−	9.64378i	0.202233	−	0.350278i
$759$	−19.2384	−	33.3219i	−0.698309	−	1.20951i
$760$	8.81863	+	12.5075i	0.319885	+	0.453696i
$761$	22.0660	+	12.7398i	0.799893	+	0.461819i	0.843434	−	0.537233i	$-0.180530\pi$
$761$	22.0660	+	12.7398i	0.799893	+	0.461819i	−0.0435406	+	0.999052i	$0.513864\pi$
$762$	−11.7702			−0.426388
$763$	−9.69242	−	42.1342i	−0.350889	−	1.52536i
$764$	21.1695			0.765887
$765$	−4.26961	+	7.39518i	−0.154368	+	0.267373i
$766$	−17.8189	+	10.2877i	−0.643822	+	0.371711i
$767$	−2.38832	−	4.13669i	−0.0862372	−	0.149367i
$768$	−0.500000	+	0.866025i	−0.0180422	+	0.0312500i
$769$			19.2892i			0.695585i	0.937571	+	0.347793i	$0.113069\pi$
$769$			19.2892i			0.695585i	−0.937571	+	0.347793i	$0.886931\pi$
$770$	39.4415	+	42.3628i	1.42137	+	1.52665i
$771$	−11.8120			−0.425397
$772$	−10.7390	−	6.20018i	−0.386506	−	0.223149i
$773$	−9.58994	−	16.6103i	−0.344926	−	0.597430i	0.640414	−	0.768030i	$-0.278763\pi$
$773$	−9.58994	−	16.6103i	−0.344926	−	0.597430i	−0.985340	+	0.170600i	$0.945429\pi$
$774$	2.96794	−	1.71354i	0.106680	−	0.0615920i
$775$	−23.9248	+	41.4390i	−0.859405	+	1.48853i
$776$		−	14.3697i		−	0.515843i
$777$	−16.4466	−	5.04242i	−0.590018	−	0.180896i
$778$		−	2.06522i		−	0.0740418i
$779$	18.7138	−	40.4751i	0.670492	−	1.45017i
$780$	−5.19981	+	3.00211i	−0.186183	+	0.107493i
$781$	8.22226	−	4.74713i	0.294216	−	0.169865i
$782$	−7.50928	+	13.0064i	−0.268531	+	0.465110i
$783$			8.45121i			0.302022i
$784$	6.29639	−	3.05866i	0.224871	−	0.109238i
$785$	15.1934			0.542275
$786$	1.27964	−	2.21640i	0.0456433	−	0.0790565i
$787$	12.1845	+	21.1041i	0.434329	+	0.752280i	0.997241	−	0.0742373i	$-0.0236522\pi$
$787$	12.1845	+	21.1041i	0.434329	+	0.752280i	−0.562912	+	0.826517i	$0.690319\pi$
$788$	−6.09093	−	10.5498i	−0.216980	−	0.375821i
$789$	−1.93853	+	3.35764i	−0.0690136	+	0.119535i
$790$		−	19.3298i		−	0.687723i
$791$	−28.4919	−	8.73544i	−1.01305	−	0.310596i
$792$		−	6.23112i		−	0.221413i
$793$	2.51455	+	1.45178i	0.0892944	+	0.0515541i
$794$	6.46502	+	11.1977i	0.229435	+	0.397393i
$795$	2.15839	+	3.73845i	0.0765503	+	0.132589i
$796$	2.50544	+	1.44651i	0.0888028	+	0.0512703i
$797$	−44.1045			−1.56226			−0.781131	−	0.624367i	$-0.785357\pi$
$797$	−44.1045			−1.56226			−0.781131	+	0.624367i	$0.785357\pi$
$798$	−7.69566	+	8.58935i	−0.272423	+	0.304060i
$799$	−26.6190			−0.941713
$800$	6.34507	+	3.66333i	0.224332	+	0.129518i
$801$	0.178584	+	0.309316i	0.00630995	+	0.0109292i
$802$	−10.2896	−	17.8221i	−0.363339	−	0.629321i
$803$	51.7468	+	29.8760i	1.82611	+	1.05430i
$804$		−	4.64897i		−	0.163956i
$805$	12.8589	+	55.8994i	0.453218	+	1.97019i
$806$		−	11.1688i		−	0.393405i
$807$	13.9427	−	24.1495i	0.490807	−	0.850102i
$808$	2.33006	+	4.03579i	0.0819714	+	0.141979i
$809$	−12.4097	−	21.4942i	−0.436301	−	0.755696i	0.561099	−	0.827748i	$-0.310379\pi$
$809$	−12.4097	−	21.4942i	−0.436301	−	0.755696i	−0.997401	+	0.0720521i	$0.977045\pi$
$810$	1.75547	−	3.04056i	0.0616808	−	0.106834i
$811$	−32.2539			−1.13259			−0.566294	−	0.824203i	$-0.691623\pi$
$811$	−32.2539			−1.13259			−0.566294	+	0.824203i	$0.691623\pi$
$812$	−5.01266	−	21.7907i	−0.175910	−	0.764703i
$813$		−	4.28233i		−	0.150188i
$814$	20.2568	−	35.0859i	0.710002	−	1.22976i
$815$	16.5213	−	9.53859i	0.578716	−	0.334122i
$816$	−2.10633	+	1.21609i	−0.0737363	+	0.0425717i
$817$	6.26914	−	13.5592i	0.219329	−	0.474375i
$818$		−	13.4931i		−	0.471774i
$819$	−3.08318	−	3.31154i	−0.107735	−	0.115715i
$820$		−	35.9172i		−	1.25428i
$821$	−25.9363	+	44.9230i	−0.905184	+	1.56782i	−0.0845143	+	0.996422i	$0.526934\pi$
$821$	−25.9363	+	44.9230i	−0.905184	+	1.56782i	−0.820670	+	0.571403i	$0.806399\pi$
$822$	−6.71271	+	3.87558i	−0.234133	+	0.135177i
$823$	24.4400	+	42.3314i	0.851926	+	1.47558i	0.879468	+	0.475958i	$0.157899\pi$
$823$	24.4400	+	42.3314i	0.851926	+	1.47558i	−0.0275421	+	0.999621i	$0.508768\pi$
$824$	−2.39024	−	1.38000i	−0.0832679	−	0.0480747i
$825$	−45.6533			−1.58944
$826$	−7.06526	−	2.16617i	−0.245832	−	0.0753706i
$827$			12.0332i			0.418436i	0.977869	+	0.209218i	$0.0670919\pi$
$827$			12.0332i			0.418436i	−0.977869	+	0.209218i	$0.932908\pi$
$828$	3.08747	−	5.34765i	0.107297	−	0.185844i
$829$	−5.71544	−	9.89943i	−0.198505	−	0.343821i	0.749539	−	0.661961i	$-0.230275\pi$
$829$	−5.71544	−	9.89943i	−0.198505	−	0.343821i	−0.948044	+	0.318139i	$0.896942\pi$
$830$	−32.9539	+	19.0259i	−1.14384	+	0.660399i
$831$	12.8811	−	22.3108i	0.446842	−	0.773952i
$832$	−1.71015			−0.0592888
$833$	16.9819	+	1.21443i	0.588388	+	0.0420775i
$834$	9.06623			0.313938
$835$	−10.4215	−	6.01686i	−0.360651	−	0.208222i
$836$	−15.6511	−	22.1981i	−0.541304	−	0.767736i
$837$	3.26545	+	5.65593i	0.112870	+	0.195497i
$838$	14.6856	−	25.4363i	0.507307	−	0.878682i
$839$	−21.8667			−0.754922			−0.377461	−	0.926026i	$-0.623203\pi$
$839$	−21.8667			−0.754922			−0.377461	+	0.926026i	$0.623203\pi$
$840$	−2.72287	+	8.88102i	−0.0939479	+	0.306424i
$841$	−42.4229			−1.46286
$842$	1.61399	−	2.79552i	0.0556218	−	0.0963399i
$843$	−11.8218	+	6.82532i	−0.407164	+	0.235076i
$844$	4.49919	−	2.59761i	0.154868	−	0.0894134i
$845$	30.6348	+	17.6870i	1.05387	+	0.608452i
$846$	10.9445			0.376280
$847$	−50.1683	−	53.8841i	−1.72380	−	1.85148i
$848$			1.22953i			0.0422221i
$849$	10.5268	+	6.07762i	0.361277	+	0.208584i
$850$	8.90987	+	15.4323i	0.305606	+	0.529325i
$851$	34.7695	−	20.0742i	1.19188	−	0.688134i
$852$	1.31955	+	0.761841i	0.0452069	+	0.0261002i
$853$		−	15.3672i		−	0.526161i	−0.964774	−	0.263081i	$-0.915261\pi$
$853$		−	15.3672i		−	0.526161i	0.964774	−	0.263081i	$-0.0847386\pi$
$854$	4.37772	−	1.00704i	0.149802	−	0.0344601i
$855$	−1.38339	−	15.2411i	−0.0473110	−	0.521236i
$856$	−6.25841	+	10.8399i	−0.213908	+	0.370499i
$857$	−4.78790	−	8.29289i	−0.163552	−	0.283280i	0.772588	−	0.634907i	$-0.218962\pi$
$857$	−4.78790	−	8.29289i	−0.163552	−	0.283280i	−0.936140	+	0.351628i	$0.885628\pi$
$858$	9.22850	−	5.32808i	0.315056	−	0.181898i
$859$	34.2830	+	19.7933i	1.16972	+	0.675339i	0.953614	−	0.301031i	$-0.0973308\pi$
$859$	34.2830	+	19.7933i	1.16972	+	0.675339i	0.216107	+	0.976370i	$0.430664\pi$
$860$		−	12.0323i		−	0.410297i
$861$	26.3774	−	6.06777i	0.898938	−	0.206789i
$862$	33.7859			1.15075
$863$	42.2549	+	24.3959i	1.43837	+	0.830445i	0.997737	−	0.0672407i	$-0.0214195\pi$
$863$	42.2549	+	24.3959i	1.43837	+	0.830445i	0.440636	+	0.897686i	$0.354753\pi$
$864$	0.866025	−	0.500000i	0.0294628	−	0.0170103i
$865$	6.78681	−	3.91837i	0.230759	−	0.133229i
$866$	6.98164	+	4.03085i	0.237246	+	0.136974i
$867$	11.0845			0.376449
$868$	−11.7744	−	12.6465i	−0.399648	−	0.429249i
$869$			34.3061i			1.16375i
$870$	25.6964	+	14.8358i	0.871189	+	0.502981i
$871$	6.88527	−	3.97521i	0.233299	−	0.134695i
$872$	8.17058	+	14.1519i	0.276691	+	0.479242i
$873$	−7.18487	+	12.4446i	−0.243171	+	0.421184i
$874$	−2.43307	−	26.8057i	−0.0822999	−	0.906717i
$875$	20.6630	+	6.33516i	0.698538	+	0.214168i
$876$			9.58930i			0.323992i
$877$	34.9780	+	20.1946i	1.18112	+	0.681923i	0.956274	−	0.292471i	$-0.0944774\pi$
$877$	34.9780	+	20.1946i	1.18112	+	0.681923i	0.224850	+	0.974393i	$0.427811\pi$
$878$	16.4749	−	9.51178i	0.556000	−	0.321007i
$879$	−11.8998	−	20.6110i	−0.401370	−	0.695193i
$880$	−18.9461	−	10.9385i	−0.638672	−	0.368738i
$881$			13.1455i			0.442882i	0.975174	+	0.221441i	$0.0710760\pi$
$881$			13.1455i			0.442882i	−0.975174	+	0.221441i	$0.928924\pi$
$882$	−6.98217	−	0.499317i	−0.235102	−	0.0168129i
$883$	39.2866			1.32210			0.661049	−	0.750343i	$-0.270111\pi$
$883$	39.2866			1.32210			0.661049	+	0.750343i	$0.270111\pi$
$884$	−3.60214	−	2.07970i	−0.121153	−	0.0699477i
$885$	8.49261	−	4.90321i	0.285476	−	0.164820i
$886$	31.4962	−	18.1843i	1.05814	−	0.610915i
$887$	5.67264	−	9.82530i	0.190469	−	0.329901i	−0.754937	−	0.655797i	$-0.772333\pi$
$887$	5.67264	−	9.82530i	0.190469	−	0.329901i	0.945406	+	0.325896i	$0.105666\pi$
$888$	6.50182			0.218187
$889$	−29.7730	−	9.12823i	−0.998556	−	0.306151i
$890$	1.25399			0.0420339
$891$	−3.11556	+	5.39631i	−0.104375	+	0.180783i
$892$	−5.66990	−	9.82055i	−0.189842	−	0.328816i
$893$	38.9893	−	27.4900i	1.30473	−	0.919918i
$894$	−11.3181	−	6.53451i	−0.378534	−	0.218547i
$895$	13.1149			0.438384
$896$	−1.93640	+	1.80287i	−0.0646907	+	0.0602297i
$897$	10.5601			0.352590
$898$	−17.8301	+	30.8826i	−0.594998	+	1.03057i
$899$	−47.7994	+	27.5970i	−1.59420	+	0.920412i
$900$	−3.66333	−	6.34507i	−0.122111	−	0.211502i
$901$	−1.49521	+	2.58979i	−0.0498128	+	0.0862783i
$902$			63.7450i			2.12247i
$903$	8.83643	−	2.03271i	0.294058	−	0.0676442i
$904$	11.2637			0.374625
$905$	61.7148	+	35.6310i	2.05147	+	1.18442i
$906$	9.64739	+	16.7098i	0.320513	+	0.555145i
$907$	−28.0690	+	16.2057i	−0.932017	+	0.538100i	−0.887449	−	0.460906i	$-0.847525\pi$
$907$	−28.0690	+	16.2057i	−0.932017	+	0.538100i	−0.0445682	+	0.999006i	$0.514191\pi$
$908$	−14.9822	+	25.9500i	−0.497203	+	0.861181i
$909$		−	4.66013i		−	0.154567i
$910$	−15.4813	+	3.56128i	−0.513202	+	0.118055i
$911$		−	57.7560i		−	1.91354i	−0.290844	−	0.956770i	$-0.593936\pi$
$911$		−	57.7560i		−	1.91354i	0.290844	−	0.956770i	$-0.406064\pi$
$912$	1.82929	−	3.95647i	0.0605739	−	0.131012i
$913$	58.4857	−	33.7668i	1.93560	−	1.11752i
$914$	−0.0223027	+	0.0128765i	−0.000737707	+	0.000425916i
$915$	−2.98050	+	5.16237i	−0.0985322	+	0.170663i
$916$		−	9.22770i		−	0.304892i
$917$	4.95580	−	4.61405i	0.163655	−	0.152369i
$918$	2.43218			0.0802739
$919$	−21.5500	+	37.3257i	−0.710869	+	1.23126i	0.253662	+	0.967293i	$0.418365\pi$
$919$	−21.5500	+	37.3257i	−0.710869	+	1.23126i	−0.964531	+	0.263968i	$0.914969\pi$
$920$	−10.8399	−	18.7752i	−0.357381	−	0.619001i
$921$	−5.00961	−	8.67689i	−0.165072	−	0.285913i
$922$	16.2157	−	28.0864i	0.534035	−	0.924975i
$923$			2.60572i			0.0857685i
$924$	4.83248	−	15.7618i	0.158977	−	0.518526i
$925$		−	47.6366i		−	1.56628i
$926$	12.7756	+	7.37601i	0.419833	+	0.242391i
$927$	1.38000	+	2.39024i	0.0453253	+	0.0785057i
$928$	4.22560	+	7.31896i	0.138712	+	0.240257i
$929$	44.0737	+	25.4460i	1.44601	+	0.834855i	0.998241	−	0.0592937i	$-0.0188849\pi$
$929$	44.0737	+	25.4460i	1.44601	+	0.834855i	0.447770	+	0.894149i	$0.352218\pi$
$930$	22.9296			0.751890
$931$	−26.1278	+	15.7587i	−0.856304	+	0.516472i
$932$	−10.6140			−0.347674
$933$	−3.67671	−	2.12275i	−0.120370	−	0.0694958i
$934$	−5.96318	−	10.3285i	−0.195121	−	0.337960i
$935$	−26.6045	−	46.0803i	−0.870059	−	1.50699i
$936$	1.48103	+	0.855075i	0.0484091	+	0.0279490i
$937$		−	26.7518i		−	0.873942i	−0.899476	−	0.436971i	$-0.856051\pi$
$937$		−	26.7518i		−	0.873942i	0.899476	−	0.436971i	$-0.143949\pi$
$938$	3.60546	−	11.7597i	0.117722	−	0.383968i
$939$		−	16.1790i		−	0.527980i
$940$	19.2127	−	33.2774i	0.626650	−	1.08539i
$941$	9.33156	+	16.1627i	0.304200	+	0.526890i	0.977083	−	0.212859i	$-0.0682775\pi$
$941$	9.33156	+	16.1627i	0.304200	+	0.526890i	−0.672883	+	0.739749i	$0.734944\pi$
$942$	−2.16372	−	3.74768i	−0.0704979	−	0.122106i
$943$	−31.5851	+	54.7070i	−1.02855	+	1.78150i
$944$	2.79311			0.0909080
$945$	6.79858	−	6.32976i	0.221158	−	0.205907i
$946$			21.3546i			0.694298i
$947$	7.42271	−	12.8565i	0.241206	−	0.417781i	−0.719852	−	0.694127i	$-0.755790\pi$
$947$	7.42271	−	12.8565i	0.241206	−	0.417781i	0.961058	+	0.276347i	$0.0891238\pi$
$948$	−4.76799	+	2.75280i	−0.154857	+	0.0894068i
$949$	−14.2021	+	8.19957i	−0.461019	+	0.266169i
$950$	−28.9877	−	13.4026i	−0.940485	−	0.434837i
$951$		−	4.28856i		−	0.139066i
$952$	−6.27116	+	1.44260i	−0.203249	+	0.0467549i
$953$			2.21819i			0.0718541i	0.999354	+	0.0359270i	$0.0114384\pi$
$953$			2.21819i			0.0718541i	−0.999354	+	0.0359270i	$0.988562\pi$
$954$	0.614763	−	1.06480i	0.0199037	−	0.0344742i
$955$	−64.3672	+	37.1624i	−2.08287	+	1.20255i
$956$	−7.26949	−	12.5911i	−0.235112	−	0.407226i
$957$	−45.6054	−	26.3303i	−1.47421	−	0.851137i
$958$	−31.3118			−1.01164
$959$	−19.9857	+	4.59745i	−0.645371	+	0.148459i
$960$		−	3.51093i		−	0.113315i
$961$	−5.82634	+	10.0915i	−0.187946	+	0.325533i
$962$	5.55955	+	9.62942i	0.179247	+	0.310465i
$963$	10.8399	−	6.25841i	0.349310	−	0.201674i
$964$	1.01761	−	1.76255i	0.0327749	−	0.0567678i
$965$	43.5368			1.40150
$966$	11.9572	−	11.1326i	0.384716	−	0.358186i
$967$	23.9251			0.769378			0.384689	−	0.923046i	$-0.374309\pi$
$967$	23.9251			0.769378			0.384689	+	0.923046i	$0.374309\pi$
$968$	24.0988	+	13.9134i	0.774565	+	0.447195i
$969$	8.66452	−	6.10905i	0.278344	−	0.196251i
$970$	25.2256	+	43.6920i	0.809945	+	1.40287i
$971$	20.2600	−	35.0914i	0.650176	−	1.12614i	−0.332904	−	0.942961i	$-0.608029\pi$
$971$	20.2600	−	35.0914i	0.650176	−	1.12614i	0.983080	−	0.183177i	$-0.0586380\pi$
$972$	−1.00000			−0.0320750
$973$	22.9333	+	7.03122i	0.735209	+	0.225411i
$974$	−29.6219			−0.949146
$975$	6.26484	−	10.8510i	0.200635	−	0.347511i
$976$	−1.47037	+	0.848919i	−0.0470654	+	0.0271732i
$977$	−13.2573	+	7.65411i	−0.424139	+	0.244877i	−0.696847	−	0.717220i	$-0.745414\pi$
$977$	−13.2573	+	7.65411i	−0.424139	+	0.244877i	0.272708	+	0.962097i	$0.412081\pi$
$978$	−4.70568	−	2.71682i	−0.150471	−	0.0868744i
$979$	−2.22556			−0.0711291
$980$	−13.7752	+	20.3531i	−0.440032	+	0.650157i
$981$		−	16.3412i		−	0.521733i
$982$	6.54992	+	3.78160i	0.209016	+	0.120676i
$983$	−5.55846	−	9.62754i	−0.177287	−	0.307071i	0.763663	−	0.645615i	$-0.223399\pi$
$983$	−5.55846	−	9.62754i	−0.177287	−	0.307071i	−0.940951	+	0.338544i	$0.890066\pi$
$984$	−8.85952	+	5.11505i	−0.282431	+	0.163062i
$985$	37.0396	+	21.3848i	1.18018	+	0.681377i
$986$			20.5549i			0.654600i
$987$	27.6845	+	8.48790i	0.881208	+	0.270173i
$988$	7.42385	−	0.673840i	0.236184	−	0.0214377i
$989$	−10.5810	+	18.3269i	−0.336457	+	0.582760i
$990$	10.9385	+	18.9461i	0.347649	+	0.602146i
$991$	0.413154	−	0.238534i	0.0131243	−	0.00757730i	−0.493424	−	0.869789i	$-0.664255\pi$
$991$	0.413154	−	0.238534i	0.0131243	−	0.00757730i	0.506548	+	0.862212i	$0.330921\pi$
$992$	5.65593	+	3.26545i	0.179576	+	0.103678i
$993$		−	4.74898i		−	0.150704i
$994$	2.74700	+	2.95046i	0.0871296	+	0.0935830i
$995$	−10.1572			−0.322006
$996$	9.38607	+	5.41905i	0.297409	+	0.171709i
$997$	13.0285	−	7.52199i	0.412616	−	0.238224i	−0.279297	−	0.960205i	$-0.590101\pi$
$997$	13.0285	−	7.52199i	0.412616	−	0.238224i	0.691913	+	0.721981i	$0.256768\pi$
$998$	−6.66131	+	3.84591i	−0.210860	+	0.121740i
$999$	−5.63075	−	3.25091i	−0.178149	−	0.102854i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.be.a.607.1	yes	28
7.3	odd	6		798.2.be.b.493.8	yes	28
19.18	odd	2		798.2.be.b.607.8	yes	28
133.94	even	6	inner	798.2.be.a.493.1	✓	28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.be.a.493.1	✓	28	133.94	even	6	inner
798.2.be.a.607.1	yes	28	1.1	even	1	trivial
798.2.be.b.493.8	yes	28	7.3	odd	6
798.2.be.b.607.8	yes	28	19.18	odd	2

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.be (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-3.04056 - 1.75547i) q^{5} +1.00000i q^{6} +(-0.775540 + 2.52953i) q^{7} -1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-3.04056 - 1.75547i) q^{5} +1.00000i q^{6} +(-0.775540 + 2.52953i) q^{7} -1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +(1.75547 + 3.04056i) q^{10} +(-3.11556 - 5.39631i) q^{11} +(0.500000 - 0.866025i) q^{12} +1.71015 q^{13} +(1.93640 - 1.80287i) q^{14} +3.51093i q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.10633 + 1.21609i) q^{17} +(0.866025 - 0.500000i) q^{18} +(1.82929 - 3.95647i) q^{19} -3.51093i q^{20} +(2.57841 - 0.593130i) q^{21} +6.23112i q^{22} +(-3.08747 + 5.34765i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(3.66333 + 6.34507i) q^{25} +(-1.48103 - 0.855075i) q^{26} +1.00000 q^{27} +(-2.57841 + 0.593130i) q^{28} +8.45121i q^{29} +(1.75547 - 3.04056i) q^{30} +(3.26545 + 5.65593i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-3.11556 + 5.39631i) q^{33} +2.43218 q^{34} +(6.79858 - 6.32976i) q^{35} -1.00000 q^{36} +(-5.63075 - 3.25091i) q^{37} +(-3.56245 + 2.51176i) q^{38} +(-0.855075 - 1.48103i) q^{39} +(-1.75547 + 3.04056i) q^{40} +10.2301 q^{41} +(-2.52953 - 0.775540i) q^{42} +3.42709 q^{43} +(3.11556 - 5.39631i) q^{44} +(3.04056 - 1.75547i) q^{45} +(5.34765 - 3.08747i) q^{46} +(9.47823 + 5.47226i) q^{47} +1.00000 q^{48} +(-5.79708 - 3.92351i) q^{49} -7.32665i q^{50} +(2.10633 + 1.21609i) q^{51} +(0.855075 + 1.48103i) q^{52} +(1.06480 - 0.614763i) q^{53} +(-0.866025 - 0.500000i) q^{54} +21.8771i q^{55} +(2.52953 + 0.775540i) q^{56} +(-4.34105 + 0.394024i) q^{57} +(4.22560 - 7.31896i) q^{58} +(-1.39655 - 2.41890i) q^{59} +(-3.04056 + 1.75547i) q^{60} +(1.47037 + 0.848919i) q^{61} -6.53090i q^{62} +(-1.80287 - 1.93640i) q^{63} -1.00000 q^{64} +(-5.19981 - 3.00211i) q^{65} +(5.39631 - 3.11556i) q^{66} +(4.02612 - 2.32448i) q^{67} +(-2.10633 - 1.21609i) q^{68} +6.17494 q^{69} +(-9.05262 + 2.08244i) q^{70} +1.52368i q^{71} +(0.866025 + 0.500000i) q^{72} +(-8.30457 + 4.79465i) q^{73} +(3.25091 + 5.63075i) q^{74} +(3.66333 - 6.34507i) q^{75} +(4.34105 - 0.394024i) q^{76} +(16.0664 - 3.69586i) q^{77} +1.71015i q^{78} +(-4.76799 - 2.75280i) q^{79} +(3.04056 - 1.75547i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-8.85952 - 5.11505i) q^{82} +10.8381i q^{83} +(1.80287 + 1.93640i) q^{84} +8.53922 q^{85} +(-2.96794 - 1.71354i) q^{86} +(7.31896 - 4.22560i) q^{87} +(-5.39631 + 3.11556i) q^{88} +(0.178584 - 0.309316i) q^{89} -3.51093 q^{90} +(-1.32629 + 4.32588i) q^{91} -6.17494 q^{92} +(3.26545 - 5.65593i) q^{93} +(-5.47226 - 9.47823i) q^{94} +(-12.5075 + 8.81863i) q^{95} +(-0.866025 - 0.500000i) q^{96} +14.3697 q^{97} +(3.05866 + 6.29639i) q^{98} +6.23112 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9}+O(q^{10}) \) 28 * q - 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9	\( 28 q - 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9} - 4 q^{10} + 6 q^{11} + 14 q^{12} + 8 q^{13} + 4 q^{14} - 14 q^{16} - 12 q^{17} + 6 q^{19} + 4 q^{21} + 6 q^{23} + 20 q^{25} + 12 q^{26} + 28 q^{27} - 4 q^{28} - 4 q^{30} + 4 q^{31} + 6 q^{33} + 8 q^{34} - 10 q^{35} - 28 q^{36} + 12 q^{37} - 24 q^{38} - 4 q^{39} + 4 q^{40} + 40 q^{41} - 8 q^{42} + 52 q^{43} - 6 q^{44} + 6 q^{45} + 36 q^{46} - 6 q^{47} + 28 q^{48} + 18 q^{49} + 12 q^{51} + 4 q^{52} + 36 q^{53} + 8 q^{56} - 12 q^{57} + 4 q^{58} + 32 q^{59} - 6 q^{60} + 6 q^{61} - 2 q^{63} - 28 q^{64} - 60 q^{65} - 12 q^{67} - 12 q^{68} - 12 q^{69} - 12 q^{70} + 30 q^{73} + 12 q^{74} + 20 q^{75} + 12 q^{76} + 28 q^{77} - 36 q^{79} + 6 q^{80} - 14 q^{81} + 2 q^{84} + 64 q^{85} - 24 q^{86} + 16 q^{89} + 8 q^{90} - 20 q^{91} + 12 q^{92} + 4 q^{93} + 14 q^{95} - 16 q^{97} - 8 q^{98} - 12 q^{99}+O(q^{100}) \) 28 * q - 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9 - 4 * q^10 + 6 * q^11 + 14 * q^12 + 8 * q^13 + 4 * q^14 - 14 * q^16 - 12 * q^17 + 6 * q^19 + 4 * q^21 + 6 * q^23 + 20 * q^25 + 12 * q^26 + 28 * q^27 - 4 * q^28 - 4 * q^30 + 4 * q^31 + 6 * q^33 + 8 * q^34 - 10 * q^35 - 28 * q^36 + 12 * q^37 - 24 * q^38 - 4 * q^39 + 4 * q^40 + 40 * q^41 - 8 * q^42 + 52 * q^43 - 6 * q^44 + 6 * q^45 + 36 * q^46 - 6 * q^47 + 28 * q^48 + 18 * q^49 + 12 * q^51 + 4 * q^52 + 36 * q^53 + 8 * q^56 - 12 * q^57 + 4 * q^58 + 32 * q^59 - 6 * q^60 + 6 * q^61 - 2 * q^63 - 28 * q^64 - 60 * q^65 - 12 * q^67 - 12 * q^68 - 12 * q^69 - 12 * q^70 + 30 * q^73 + 12 * q^74 + 20 * q^75 + 12 * q^76 + 28 * q^77 - 36 * q^79 + 6 * q^80 - 14 * q^81 + 2 * q^84 + 64 * q^85 - 24 * q^86 + 16 * q^89 + 8 * q^90 - 20 * q^91 + 12 * q^92 + 4 * q^93 + 14 * q^95 - 16 * q^97 - 8 * q^98 - 12 * q^99

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