LMFDB - Embedded newform 266.2.f.d.239.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [266,2,Mod(197,266)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(266, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("266.197");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 266 = 2 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	266.f (of order $3$, 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:	$2.12402069377$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$4$ over $\Q(\zeta_{3})$
Coefficient field:	$\mathbb{Q}[x]/(x^{8} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + 11x^{6} - 6x^{5} + 104x^{4} - 72x^{3} + 104x^{2} + 32x + 16 $ x^8 - x^7 + 11x^6 - 6x^5 + 104x^4 - 72x^3 + 104x^2 + 32x + 16
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 3 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			239.2
Root			$-0.176135 - 0.305076i$ of defining polynomial
Character	$\chi$	$=$	266.239
Dual form			266.2.f.d.197.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(-0.176135 + 0.305076i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.16259 + 3.74571i) q^{5} +(0.176135 + 0.305076i) q^{6} +1.00000 q^{7} -1.00000 q^{8} +(1.43795 + 2.49061i) q^{9} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(-0.176135 + 0.305076i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.16259 + 3.74571i) q^{5} +(0.176135 + 0.305076i) q^{6} +1.00000 q^{7} -1.00000 q^{8} +(1.43795 + 2.49061i) q^{9} +(2.16259 + 3.74571i) q^{10} +2.35227 q^{11} +0.352271 q^{12} +(0.400772 + 0.694158i) q^{13} +(0.500000 - 0.866025i) q^{14} +(-0.761817 - 1.31951i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.11409 + 5.39376i) q^{17} +2.87591 q^{18} +(3.69100 - 2.31874i) q^{19} +4.32518 q^{20} +(-0.176135 + 0.305076i) q^{21} +(1.17614 - 2.03713i) q^{22} +(0.887226 + 1.53672i) q^{23} +(0.176135 - 0.305076i) q^{24} +(-6.85358 - 11.8708i) q^{25} +0.801544 q^{26} -2.06991 q^{27} +(-0.500000 - 0.866025i) q^{28} +(-2.91563 - 5.05002i) q^{29} -1.52363 q^{30} -5.12672 q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.414318 + 0.717620i) q^{33} +(3.11409 + 5.39376i) q^{34} +(-2.16259 + 3.74571i) q^{35} +(1.43795 - 2.49061i) q^{36} +10.6504 q^{37} +(-0.162589 - 4.35587i) q^{38} -0.282361 q^{39} +(2.16259 - 3.74571i) q^{40} +(1.82386 - 3.15903i) q^{41} +(0.176135 + 0.305076i) q^{42} +(-0.436639 + 0.756280i) q^{43} +(-1.17614 - 2.03713i) q^{44} -12.4388 q^{45} +1.77445 q^{46} +(2.91563 + 5.05002i) q^{47} +(-0.176135 - 0.305076i) q^{48} +1.00000 q^{49} -13.7072 q^{50} +(-1.09700 - 1.90006i) q^{51} +(0.400772 - 0.694158i) q^{52} +(-0.563361 - 0.975771i) q^{53} +(-1.03496 + 1.79259i) q^{54} +(-5.08700 + 8.81094i) q^{55} -1.00000 q^{56} +(0.0572755 + 1.53444i) q^{57} -5.83126 q^{58} +(7.10054 - 12.2985i) q^{59} +(-0.761817 + 1.31951i) q^{60} +(1.36105 + 2.35740i) q^{61} +(-2.56336 + 4.43987i) q^{62} +(1.43795 + 2.49061i) q^{63} +1.00000 q^{64} -3.46682 q^{65} +(0.414318 + 0.717620i) q^{66} +(-2.29022 - 3.96678i) q^{67} +6.22818 q^{68} -0.625088 q^{69} +(2.16259 + 3.74571i) q^{70} +(-7.00131 + 12.1266i) q^{71} +(-1.43795 - 2.49061i) q^{72} +(4.61540 - 7.99411i) q^{73} +(5.32518 - 9.22348i) q^{74} +4.82864 q^{75} +(-3.85358 - 2.03713i) q^{76} +2.35227 q^{77} +(-0.141180 + 0.244532i) q^{78} +(3.52363 - 6.10311i) q^{79} +(-2.16259 - 3.74571i) q^{80} +(-3.94927 + 6.84034i) q^{81} +(-1.82386 - 3.15903i) q^{82} +15.5560 q^{83} +0.352271 q^{84} +(-13.4690 - 23.3290i) q^{85} +(0.436639 + 0.756280i) q^{86} +2.05418 q^{87} -2.35227 q^{88} +(-3.64773 - 6.31805i) q^{89} +(-6.21940 + 10.7723i) q^{90} +(0.400772 + 0.694158i) q^{91} +(0.887226 - 1.53672i) q^{92} +(0.902998 - 1.56404i) q^{93} +5.83126 q^{94} +(0.703228 + 18.8399i) q^{95} -0.352271 q^{96} +(-1.52841 + 2.64728i) q^{97} +(0.500000 - 0.866025i) q^{98} +(3.38245 + 5.85858i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{2} + q^{3} - 4 q^{4} - q^{5} - q^{6} + 8 q^{7} - 8 q^{8} - 9 q^{9}+O(q^{10}) $ 8 * q + 4 * q^2 + q^3 - 4 * q^4 - q^5 - q^6 + 8 * q^7 - 8 * q^8 - 9 * q^9	\( 8 q + 4 q^{2} + q^{3} - 4 q^{4} - q^{5} - q^{6} + 8 q^{7} - 8 q^{8} - 9 q^{9} + q^{10} + 14 q^{11} - 2 q^{12} + 5 q^{13} + 4 q^{14} + 12 q^{15} - 4 q^{16} - 2 q^{17} - 18 q^{18} + 6 q^{19} + 2 q^{20} + q^{21} + 7 q^{22} - 5 q^{23} - q^{24} - 15 q^{25} + 10 q^{26} - 2 q^{27} - 4 q^{28} - 4 q^{29} + 24 q^{30} - 12 q^{31} + 4 q^{32} - 19 q^{33} + 2 q^{34} - q^{35} - 9 q^{36} + 20 q^{37} + 15 q^{38} - 12 q^{39} + q^{40} + 17 q^{41} - q^{42} - 18 q^{43} - 7 q^{44} - 38 q^{45} - 10 q^{46} + 4 q^{47} + q^{48} + 8 q^{49} - 30 q^{50} - 22 q^{51} + 5 q^{52} + 10 q^{53} - q^{54} + 10 q^{55} - 8 q^{56} - 8 q^{57} - 8 q^{58} + 20 q^{59} + 12 q^{60} - 9 q^{61} - 6 q^{62} - 9 q^{63} + 8 q^{64} - 6 q^{65} + 19 q^{66} + 7 q^{67} + 4 q^{68} + 48 q^{69} + q^{70} - 21 q^{71} + 9 q^{72} - 21 q^{73} + 10 q^{74} + 70 q^{75} + 9 q^{76} + 14 q^{77} - 6 q^{78} - 8 q^{79} - q^{80} - 40 q^{81} - 17 q^{82} - 24 q^{83} - 2 q^{84} - 10 q^{85} + 18 q^{86} + 72 q^{87} - 14 q^{88} - 34 q^{89} - 19 q^{90} + 5 q^{91} - 5 q^{92} - 6 q^{93} + 8 q^{94} + 31 q^{95} + 2 q^{96} - 5 q^{97} + 4 q^{98} - 14 q^{99}+O(q^{100}) \) 8 * q + 4 * q^2 + q^3 - 4 * q^4 - q^5 - q^6 + 8 * q^7 - 8 * q^8 - 9 * q^9 + q^10 + 14 * q^11 - 2 * q^12 + 5 * q^13 + 4 * q^14 + 12 * q^15 - 4 * q^16 - 2 * q^17 - 18 * q^18 + 6 * q^19 + 2 * q^20 + q^21 + 7 * q^22 - 5 * q^23 - q^24 - 15 * q^25 + 10 * q^26 - 2 * q^27 - 4 * q^28 - 4 * q^29 + 24 * q^30 - 12 * q^31 + 4 * q^32 - 19 * q^33 + 2 * q^34 - q^35 - 9 * q^36 + 20 * q^37 + 15 * q^38 - 12 * q^39 + q^40 + 17 * q^41 - q^42 - 18 * q^43 - 7 * q^44 - 38 * q^45 - 10 * q^46 + 4 * q^47 + q^48 + 8 * q^49 - 30 * q^50 - 22 * q^51 + 5 * q^52 + 10 * q^53 - q^54 + 10 * q^55 - 8 * q^56 - 8 * q^57 - 8 * q^58 + 20 * q^59 + 12 * q^60 - 9 * q^61 - 6 * q^62 - 9 * q^63 + 8 * q^64 - 6 * q^65 + 19 * q^66 + 7 * q^67 + 4 * q^68 + 48 * q^69 + q^70 - 21 * q^71 + 9 * q^72 - 21 * q^73 + 10 * q^74 + 70 * q^75 + 9 * q^76 + 14 * q^77 - 6 * q^78 - 8 * q^79 - q^80 - 40 * q^81 - 17 * q^82 - 24 * q^83 - 2 * q^84 - 10 * q^85 + 18 * q^86 + 72 * q^87 - 14 * q^88 - 34 * q^89 - 19 * q^90 + 5 * q^91 - 5 * q^92 - 6 * q^93 + 8 * q^94 + 31 * q^95 + 2 * q^96 - 5 * q^97 + 4 * q^98 - 14 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/266\mathbb{Z}\right)^\times$.

$n$	$115$	$211$
$\chi(n)$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$3$	−0.176135	+	0.305076i	−0.101692	+	0.176135i	−0.912382	−	0.409340i	$-0.865759\pi$
$3$	−0.176135	+	0.305076i	−0.101692	+	0.176135i	0.810690	+	0.585476i	$0.199092\pi$
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	−2.16259	+	3.74571i	−0.967139	+	1.67513i	−0.263385	+	0.964691i	$0.584839\pi$
$5$	−2.16259	+	3.74571i	−0.967139	+	1.67513i	−0.703754	+	0.710444i	$0.748494\pi$
$6$	0.176135	+	0.305076i	0.0719070	+	0.124547i
$7$	1.00000			0.377964
$7$	1.00000			0.377964
$8$	−1.00000			−0.353553
$9$	1.43795	+	2.49061i	0.479318	+	0.830202i
$10$	2.16259	+	3.74571i	0.683871	+	1.18450i
$11$	2.35227			0.709236			0.354618	−	0.935011i	$-0.384611\pi$
$11$	2.35227			0.709236			0.354618	+	0.935011i	$0.384611\pi$
$12$	0.352271			0.101692
$13$	0.400772	+	0.694158i	0.111154	+	0.192525i	0.916236	−	0.400639i	$-0.131212\pi$
$13$	0.400772	+	0.694158i	0.111154	+	0.192525i	−0.805082	+	0.593164i	$0.797879\pi$
$14$	0.500000	−	0.866025i	0.133631	−	0.231455i
$15$	−0.761817	−	1.31951i	−0.196700	−	0.340695i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−3.11409	+	5.39376i	−0.755277	+	1.30818i	0.189959	+	0.981792i	$0.439164\pi$
$17$	−3.11409	+	5.39376i	−0.755277	+	1.30818i	−0.945236	+	0.326387i	$0.894169\pi$
$18$	2.87591			0.677857
$19$	3.69100	−	2.31874i	0.846772	−	0.531955i
$19$	3.69100	−	2.31874i	0.846772	−	0.531955i
$20$	4.32518			0.967139
$21$	−0.176135	+	0.305076i	−0.0384359	+	0.0665729i
$22$	1.17614	−	2.03713i	0.250753	−	0.434317i
$23$	0.887226	+	1.53672i	0.184999	+	0.320428i	0.943576	−	0.331155i	$-0.107438\pi$
$23$	0.887226	+	1.53672i	0.184999	+	0.320428i	−0.758577	+	0.651583i	$0.774105\pi$
$24$	0.176135	−	0.305076i	0.0359535	−	0.0622733i
$25$	−6.85358	−	11.8708i	−1.37072	−	2.37415i
$26$	0.801544			0.157196
$27$	−2.06991			−0.398354
$28$	−0.500000	−	0.866025i	−0.0944911	−	0.163663i
$29$	−2.91563	−	5.05002i	−0.541419	−	0.937766i	−0.998823	−	0.0485065i	$-0.984554\pi$
$29$	−2.91563	−	5.05002i	−0.541419	−	0.937766i	0.457404	−	0.889259i	$-0.348780\pi$
$30$	−1.52363			−0.278176
$31$	−5.12672			−0.920787			−0.460393	−	0.887715i	$-0.652292\pi$
$31$	−5.12672			−0.920787			−0.460393	+	0.887715i	$0.652292\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$	−0.414318	+	0.717620i	−0.0721235	+	0.124922i
$34$	3.11409	+	5.39376i	0.534062	+	0.925022i
$35$	−2.16259	+	3.74571i	−0.365544	+	0.633141i
$36$	1.43795	−	2.49061i	0.239659	−	0.415101i
$37$	10.6504			1.75091			0.875454	−	0.483302i	$-0.160563\pi$
$37$	10.6504			1.75091			0.875454	+	0.483302i	$0.160563\pi$
$38$	−0.162589	−	4.35587i	−0.0263755	−	0.706615i
$39$	−0.282361			−0.0452139
$40$	2.16259	−	3.74571i	0.341935	−	0.592249i
$41$	1.82386	−	3.15903i	0.284840	−	0.493357i	−0.687731	−	0.725966i	$-0.741393\pi$
$41$	1.82386	−	3.15903i	0.284840	−	0.493357i	0.972570	+	0.232609i	$0.0747263\pi$
$42$	0.176135	+	0.305076i	0.0271783	+	0.0470742i
$43$	−0.436639	+	0.756280i	−0.0665868	+	0.115332i	−0.897397	−	0.441224i	$-0.854544\pi$
$43$	−0.436639	+	0.756280i	−0.0665868	+	0.115332i	0.830810	+	0.556556i	$0.187878\pi$
$44$	−1.17614	−	2.03713i	−0.177309	−	0.307108i
$45$	−12.4388			−1.85427
$46$	1.77445			0.261629
$47$	2.91563	+	5.05002i	0.425289	+	0.736622i	0.996447	−	0.0842181i	$-0.0268392\pi$
$47$	2.91563	+	5.05002i	0.425289	+	0.736622i	−0.571159	+	0.820840i	$0.693506\pi$
$48$	−0.176135	−	0.305076i	−0.0254230	−	0.0440339i
$49$	1.00000			0.142857
$50$	−13.7072			−1.93849
$51$	−1.09700	−	1.90006i	−0.153611	−	0.266062i
$52$	0.400772	−	0.694158i	0.0555771	−	0.0962623i
$53$	−0.563361	−	0.975771i	−0.0773836	−	0.134032i	0.824737	−	0.565517i	$-0.191323\pi$
$53$	−0.563361	−	0.975771i	−0.0773836	−	0.134032i	−0.902120	+	0.431484i	$0.857990\pi$
$54$	−1.03496	+	1.79259i	−0.140840	+	0.243941i
$55$	−5.08700	+	8.81094i	−0.685930	+	1.18807i
$56$	−1.00000			−0.133631
$57$	0.0572755	+	1.53444i	0.00758632	+	0.203242i
$58$	−5.83126			−0.765683
$59$	7.10054	−	12.2985i	0.924412	−	1.60113i	0.131907	−	0.991262i	$-0.457890\pi$
$59$	7.10054	−	12.2985i	0.924412	−	1.60113i	0.792504	−	0.609866i	$-0.208777\pi$
$60$	−0.761817	+	1.31951i	−0.0983502	+	0.170348i
$61$	1.36105	+	2.35740i	0.174264	+	0.301834i	0.939906	−	0.341432i	$-0.110912\pi$
$61$	1.36105	+	2.35740i	0.174264	+	0.301834i	−0.765642	+	0.643267i	$0.777579\pi$
$62$	−2.56336	+	4.43987i	−0.325547	+	0.563864i
$63$	1.43795	+	2.49061i	0.181165	+	0.313787i
$64$	1.00000			0.125000
$65$	−3.46682			−0.430006
$66$	0.414318	+	0.717620i	0.0509990	+	0.0883329i
$67$	−2.29022	−	3.96678i	−0.279795	−	0.484620i	0.691538	−	0.722340i	$-0.256933\pi$
$67$	−2.29022	−	3.96678i	−0.279795	−	0.484620i	−0.971334	+	0.237720i	$0.923600\pi$
$68$	6.22818			0.755277
$69$	−0.625088			−0.0752517
$70$	2.16259	+	3.74571i	0.258479	+	0.447699i
$71$	−7.00131	+	12.1266i	−0.830903	+	1.43917i	0.0664198	+	0.997792i	$0.478842\pi$
$71$	−7.00131	+	12.1266i	−0.830903	+	1.43917i	−0.897323	+	0.441375i	$0.854491\pi$
$72$	−1.43795	−	2.49061i	−0.169464	−	0.293521i
$73$	4.61540	−	7.99411i	0.540192	−	0.935640i	−0.458701	−	0.888591i	$-0.651685\pi$
$73$	4.61540	−	7.99411i	0.540192	−	0.935640i	0.998893	−	0.0470490i	$-0.0149817\pi$
$74$	5.32518	−	9.22348i	0.619039	−	1.07221i
$75$	4.82864			0.557563
$76$	−3.85358	−	2.03713i	−0.442037	−	0.233674i
$77$	2.35227			0.268066
$78$	−0.141180	+	0.244532i	−0.0159855	+	0.0276877i
$79$	3.52363	−	6.10311i	0.396440	−	0.686654i	−0.596844	−	0.802357i	$-0.703579\pi$
$79$	3.52363	−	6.10311i	0.396440	−	0.686654i	0.993284	+	0.115703i	$0.0369122\pi$
$80$	−2.16259	−	3.74571i	−0.241785	−	0.418784i
$81$	−3.94927	+	6.84034i	−0.438808	+	0.760038i
$82$	−1.82386	−	3.15903i	−0.201412	−	0.348856i
$83$	15.5560			1.70749			0.853745	−	0.520691i	$-0.174325\pi$
$83$	15.5560			1.70749			0.853745	+	0.520691i	$0.174325\pi$
$84$	0.352271			0.0384359
$85$	−13.4690	−	23.3290i	−1.46092	−	2.53038i
$86$	0.436639	+	0.756280i	0.0470840	+	0.0815518i
$87$	2.05418			0.220232
$88$	−2.35227			−0.250753
$89$	−3.64773	−	6.31805i	−0.386659	−	0.669712i	0.605339	−	0.795968i	$-0.293037\pi$
$89$	−3.64773	−	6.31805i	−0.386659	−	0.669712i	−0.991998	+	0.126255i	$0.959704\pi$
$90$	−6.21940	+	10.7723i	−0.655583	+	1.13550i
$91$	0.400772	+	0.694158i	0.0420123	+	0.0727675i
$92$	0.887226	−	1.53672i	0.0924997	−	0.160214i
$93$	0.902998	−	1.56404i	0.0936365	−	0.162183i
$94$	5.83126			0.601449
$95$	0.703228	+	18.8399i	0.0721496	+	1.93293i
$96$	−0.352271			−0.0359535
$97$	−1.52841	+	2.64728i	−0.155186	+	0.268790i	−0.933127	−	0.359547i	$-0.882931\pi$
$97$	−1.52841	+	2.64728i	−0.155186	+	0.268790i	0.777941	+	0.628338i	$0.216264\pi$
$98$	0.500000	−	0.866025i	0.0505076	−	0.0874818i
$99$	3.38245	+	5.85858i	0.339949	+	0.588810i
$100$	−6.85358	+	11.8708i	−0.685358	+	1.18708i
$101$	−0.761817	−	1.31951i	−0.0758036	−	0.131296i	0.825632	−	0.564209i	$-0.190819\pi$
$101$	−0.761817	−	1.31951i	−0.0758036	−	0.131296i	−0.901435	+	0.432914i	$0.857486\pi$
$102$	−2.19400			−0.217239
$103$	−11.5236			−1.13546			−0.567729	−	0.823216i	$-0.692178\pi$
$103$	−11.5236			−1.13546			−0.567729	+	0.823216i	$0.692178\pi$
$104$	−0.400772	−	0.694158i	−0.0392989	−	0.0680678i
$105$	−0.761817	−	1.31951i	−0.0743457	−	0.128771i
$106$	−1.12672			−0.109437
$107$	16.0053			1.54729			0.773643	−	0.633621i	$-0.218432\pi$
$107$	16.0053			1.54729			0.773643	+	0.633621i	$0.218432\pi$
$108$	1.03496	+	1.79259i	0.0995886	+	0.172493i
$109$	3.62017	−	6.27033i	0.346750	−	0.600588i	−0.638920	−	0.769273i	$-0.720619\pi$
$109$	3.62017	−	6.27033i	0.346750	−	0.600588i	0.985670	+	0.168685i	$0.0539520\pi$
$110$	5.08700	+	8.81094i	0.485026	+	0.840090i
$111$	−1.87591	+	3.24916i	−0.178053	+	0.308397i
$112$	−0.500000	+	0.866025i	−0.0472456	+	0.0818317i
$113$	1.47637			0.138885			0.0694424	−	0.997586i	$-0.477878\pi$
$113$	1.47637			0.138885			0.0694424	+	0.997586i	$0.477878\pi$
$114$	1.35751	+	0.717620i	0.127142	+	0.0672113i
$115$	−7.67482			−0.715681
$116$	−2.91563	+	5.05002i	−0.270710	+	0.468883i
$117$	−1.15258	+	1.99633i	−0.106556	+	0.184561i
$118$	−7.10054	−	12.2985i	−0.653658	−	1.13217i
$119$	−3.11409	+	5.39376i	−0.285468	+	0.494445i
$120$	0.761817	+	1.31951i	0.0695441	+	0.120454i
$121$	−5.46682			−0.496984
$122$	2.72209			0.246446
$123$	0.642494	+	1.11283i	0.0579318	+	0.100341i
$124$	2.56336	+	4.43987i	0.230197	+	0.398712i
$125$	37.6601			3.36842
$126$	2.87591			0.256206
$127$	3.11540	+	5.39603i	0.276447	+	0.478821i	0.970499	−	0.241104i	$-0.0775096\pi$
$127$	3.11540	+	5.39603i	0.276447	+	0.478821i	−0.694052	+	0.719925i	$0.744176\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	−0.153815	−	0.266415i	−0.0135427	−	0.0234566i
$130$	−1.73341	+	3.00236i	−0.152030	+	0.263324i
$131$	1.83264	−	3.17422i	0.160118	−	0.277333i	−0.774793	−	0.632216i	$-0.782146\pi$
$131$	1.83264	−	3.17422i	0.160118	−	0.277333i	0.934911	+	0.354882i	$0.115479\pi$
$132$	0.828636			0.0721235
$133$	3.69100	−	2.31874i	0.320050	−	0.201060i
$134$	−4.58045			−0.395690
$135$	4.47637	−	7.75329i	0.385264	−	0.667297i
$136$	3.11409	−	5.39376i	0.267031	−	0.462511i
$137$	−1.69846	−	2.94181i	−0.145109	−	0.251336i	0.784305	−	0.620376i	$-0.213020\pi$
$137$	−1.69846	−	2.94181i	−0.145109	−	0.251336i	−0.929414	+	0.369040i	$0.879687\pi$
$138$	−0.312544	+	0.541342i	−0.0266055	+	0.0460821i
$139$	2.59832	+	4.50042i	0.220386	+	0.381720i	0.954925	−	0.296846i	$-0.0959349\pi$
$139$	2.59832	+	4.50042i	0.220386	+	0.381720i	−0.734539	+	0.678566i	$0.762602\pi$
$140$	4.32518			0.365544
$141$	−2.05418			−0.172994
$142$	7.00131	+	12.1266i	0.587537	+	1.01764i
$143$	0.942725	+	1.63285i	0.0788346	+	0.136546i
$144$	−2.87591			−0.239659
$145$	25.2213			2.09451
$146$	−4.61540	−	7.99411i	−0.381973	−	0.661597i
$147$	−0.176135	+	0.305076i	−0.0145274	+	0.0251622i
$148$	−5.32518	−	9.22348i	−0.437727	−	0.758165i
$149$	−7.32518	+	12.6876i	−0.600102	+	1.03941i	0.392703	+	0.919665i	$0.371540\pi$
$149$	−7.32518	+	12.6876i	−0.600102	+	1.03941i	−0.992805	+	0.119742i	$0.961793\pi$
$150$	2.41432	−	4.18172i	0.197128	−	0.341436i
$151$	5.46682			0.444884			0.222442	−	0.974946i	$-0.428597\pi$
$151$	5.46682			0.444884			0.222442	+	0.974946i	$0.428597\pi$
$152$	−3.69100	+	2.31874i	−0.299379	+	0.188075i
$153$	−17.9116			−1.44807
$154$	1.17614	−	2.03713i	0.0947757	−	0.164156i
$155$	11.0870	−	19.2032i	0.890529	−	1.54244i
$156$	0.141180	+	0.244532i	0.0113035	+	0.0195782i
$157$	1.72595	−	2.98943i	0.137746	−	0.238583i	−0.788897	−	0.614525i	$-0.789348\pi$
$157$	1.72595	−	2.98943i	0.137746	−	0.238583i	0.926643	+	0.375942i	$0.122681\pi$
$158$	−3.52363	−	6.10311i	−0.280325	−	0.485538i
$159$	0.396912			0.0314771
$160$	−4.32518			−0.341935
$161$	0.887226	+	1.53672i	0.0699232	+	0.121111i
$162$	3.94927	+	6.84034i	0.310284	+	0.537428i
$163$	8.65990			0.678296			0.339148	−	0.940733i	$-0.389861\pi$
$163$	8.65990			0.678296			0.339148	+	0.940733i	$0.389861\pi$
$164$	−3.64773			−0.284840
$165$	−1.79200	−	3.10384i	−0.139507	−	0.241633i
$166$	7.77799	−	13.4719i	0.603689	−	1.04562i
$167$	3.02972	+	5.24763i	0.234447	+	0.406074i	0.959112	−	0.283028i	$-0.0913388\pi$
$167$	3.02972	+	5.24763i	0.234447	+	0.406074i	−0.724665	+	0.689101i	$0.758005\pi$
$168$	0.176135	−	0.305076i	0.0135891	−	0.0235371i
$169$	6.17876	−	10.7019i	0.475289	−	0.823226i
$170$	−26.9380			−2.06605
$171$	11.0825	+	5.85858i	0.847503	+	0.448017i
$172$	0.873277			0.0665868
$173$	−7.81295	+	13.5324i	−0.594007	+	1.02885i	0.399679	+	0.916655i	$0.369122\pi$
$173$	−7.81295	+	13.5324i	−0.594007	+	1.02885i	−0.993686	+	0.112196i	$0.964212\pi$
$174$	1.02709	−	1.77898i	0.0778637	−	0.134864i
$175$	−6.85358	−	11.8708i	−0.518082	−	0.897345i
$176$	−1.17614	+	2.03713i	−0.0886545	+	0.153554i
$177$	2.50131	+	4.33240i	0.188010	+	0.325643i
$178$	−7.29546			−0.546818
$179$	11.3995			0.852042			0.426021	−	0.904713i	$-0.359915\pi$
$179$	11.3995			0.852042			0.426021	+	0.904713i	$0.359915\pi$
$180$	6.21940	+	10.7723i	0.463567	+	0.802921i
$181$	−1.63895	−	2.83875i	−0.121823	−	0.211003i	0.798664	−	0.601777i	$-0.205541\pi$
$181$	−1.63895	−	2.83875i	−0.121823	−	0.211003i	−0.920486	+	0.390775i	$0.872207\pi$
$182$	0.801544			0.0594144
$183$	−0.958913			−0.0708849
$184$	−0.887226	−	1.53672i	−0.0654072	−	0.113289i
$185$	−23.0323	+	39.8932i	−1.69337	+	2.93301i
$186$	−0.902998	−	1.56404i	−0.0662110	−	0.114681i
$187$	−7.32518	+	12.6876i	−0.535670	+	0.927808i
$188$	2.91563	−	5.05002i	0.212644	−	0.368311i
$189$	−2.06991			−0.150564
$190$	16.6674	+	8.81094i	1.20918	+	0.639212i
$191$	−3.23865			−0.234340			−0.117170	−	0.993112i	$-0.537382\pi$
$191$	−3.23865			−0.234340			−0.117170	+	0.993112i	$0.537382\pi$
$192$	−0.176135	+	0.305076i	−0.0127115	+	0.0220169i
$193$	−6.02841	+	10.4415i	−0.433934	+	0.751596i	−0.997208	−	0.0746743i	$-0.976208\pi$
$193$	−6.02841	+	10.4415i	−0.433934	+	0.751596i	0.563274	+	0.826270i	$0.309542\pi$
$194$	1.52841	+	2.64728i	0.109733	+	0.190063i
$195$	0.610630	−	1.05764i	0.0437281	−	0.0757393i
$196$	−0.500000	−	0.866025i	−0.0357143	−	0.0618590i
$197$	−20.9380			−1.49177			−0.745884	−	0.666075i	$-0.767973\pi$
$197$	−20.9380			−1.49177			−0.745884	+	0.666075i	$0.767973\pi$
$198$	6.76491			0.480761
$199$	−4.56336	−	7.90397i	−0.323488	−	0.560298i	0.657717	−	0.753265i	$-0.271522\pi$
$199$	−4.56336	−	7.90397i	−0.323488	−	0.560298i	−0.981205	+	0.192967i	$0.938189\pi$
$200$	6.85358	+	11.8708i	0.484622	+	0.839389i
$201$	1.61356			0.113812
$202$	−1.52363			−0.107203
$203$	−2.91563	−	5.05002i	−0.204637	−	0.354442i
$204$	−1.09700	+	1.90006i	−0.0768055	+	0.133031i
$205$	7.88854	+	13.6634i	0.550960	+	0.954290i
$206$	−5.76182	+	9.97976i	−0.401445	+	0.695323i
$207$	−2.55158	+	4.41946i	−0.177347	+	0.307174i
$208$	−0.801544			−0.0555771
$209$	8.68222	−	5.45430i	0.600562	−	0.377282i
$210$	−1.52363			−0.105141
$211$	2.00000	−	3.46410i	0.137686	−	0.238479i	−0.788935	−	0.614477i	$-0.789367\pi$
$211$	2.00000	−	3.46410i	0.137686	−	0.238479i	0.926620	+	0.375999i	$0.122700\pi$
$212$	−0.563361	+	0.975771i	−0.0386918	+	0.0670162i
$213$	−2.46636	−	4.27186i	−0.168992	−	0.292703i
$214$	8.00263	−	13.8610i	0.547048	−	0.947516i
$215$	−1.88854	−	3.27105i	−0.128797	−	0.223084i
$216$	2.06991			0.140840
$217$	−5.12672			−0.348025
$218$	−3.62017	−	6.27033i	−0.245189	−	0.424680i
$219$	1.62587	+	2.81609i	0.109866	+	0.190294i
$220$	10.1740			0.685930
$221$	−4.99216			−0.335809
$222$	1.87591	+	3.24916i	0.125903	+	0.218070i
$223$	6.12672	−	10.6118i	0.410276	−	0.710618i	−0.584644	−	0.811290i	$-0.698766\pi$
$223$	6.12672	−	10.6118i	0.410276	−	0.710618i	0.994920	+	0.100672i	$0.0320991\pi$
$224$	0.500000	+	0.866025i	0.0334077	+	0.0578638i
$225$	19.7103	−	34.1392i	1.31402	−	2.27594i
$226$	0.738183	−	1.27857i	0.0491032	−	0.0850492i
$227$	−23.3531			−1.55000			−0.774999	−	0.631962i	$-0.782250\pi$
$227$	−23.3531			−1.55000			−0.774999	+	0.631962i	$0.782250\pi$
$228$	1.30023	−	0.816824i	0.0861098	−	0.0540955i
$229$	−25.8830			−1.71040			−0.855198	−	0.518302i	$-0.826564\pi$
$229$	−25.8830			−1.71040			−0.855198	+	0.518302i	$0.826564\pi$
$230$	−3.83741	+	6.64659i	−0.253031	+	0.438263i
$231$	−0.414318	+	0.717620i	−0.0272601	+	0.0472159i
$232$	2.91563	+	5.05002i	0.191421	+	0.331550i
$233$	1.30154	−	2.25434i	0.0852670	−	0.147687i	−0.820238	−	0.572022i	$-0.806159\pi$
$233$	1.30154	−	2.25434i	0.0852670	−	0.147687i	0.905505	+	0.424336i	$0.139492\pi$
$234$	1.15258	+	1.99633i	0.0753467	+	0.130504i
$235$	−25.2213			−1.64525
$236$	−14.2011			−0.924412
$237$	1.24127	+	2.14995i	0.0806294	+	0.139654i
$238$	3.11409	+	5.39376i	0.201856	+	0.349625i
$239$	−23.2781			−1.50573			−0.752867	−	0.658173i	$-0.771330\pi$
$239$	−23.2781			−1.50573			−0.752867	+	0.658173i	$0.771330\pi$
$240$	1.52363			0.0983502
$241$	4.47159	+	7.74503i	0.288041	+	0.498901i	0.973342	−	0.229359i	$-0.0736628\pi$
$241$	4.47159	+	7.74503i	0.288041	+	0.498901i	−0.685301	+	0.728260i	$0.740329\pi$
$242$	−2.73341	+	4.73441i	−0.175710	+	0.304339i
$243$	−4.49608	−	7.78744i	−0.288424	−	0.499564i
$244$	1.36105	−	2.35740i	0.0871320	−	0.150917i
$245$	−2.16259	+	3.74571i	−0.138163	+	0.239305i
$246$	1.28499			0.0819279
$247$	3.08882	+	1.63285i	0.196537	+	0.103896i
$248$	5.12672			0.325547
$249$	−2.73996	+	4.74575i	−0.173638	+	0.300750i
$250$	18.8300	−	32.6146i	1.19092	−	2.06273i
$251$	−13.6936	−	23.7181i	−0.864334	−	1.49707i	−0.867707	−	0.497076i	$-0.834407\pi$
$251$	−13.6936	−	23.7181i	−0.864334	−	1.49707i	0.00337324	−	0.999994i	$-0.498926\pi$
$252$	1.43795	−	2.49061i	0.0905825	−	0.156893i
$253$	2.08700	+	3.61478i	0.131208	+	0.227259i
$254$	6.23080			0.390955
$255$	9.48946			0.594253
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−4.24605	−	7.35437i	−0.264861	−	0.458753i	0.702666	−	0.711520i	$-0.251993\pi$
$257$	−4.24605	−	7.35437i	−0.264861	−	0.458753i	−0.967527	+	0.252767i	$0.918659\pi$
$258$	−0.307630			−0.0191522
$259$	10.6504			0.661781
$260$	1.73341	+	3.00236i	0.107502	+	0.186198i
$261$	8.38508	−	14.5234i	0.519024	−	0.898975i
$262$	−1.83264	−	3.17422i	−0.113221	−	0.196104i
$263$	2.87459	−	4.97894i	0.177255	−	0.307014i	−0.763684	−	0.645590i	$-0.776612\pi$
$263$	2.87459	−	4.97894i	0.177255	−	0.307014i	0.940939	+	0.338575i	$0.109945\pi$
$264$	0.414318	−	0.717620i	0.0254995	−	0.0441665i
$265$	4.87328			0.299363
$266$	−0.162589	−	4.35587i	−0.00996899	−	0.267075i
$267$	2.56998			0.157280
$268$	−2.29022	+	3.96678i	−0.139898	+	0.242310i
$269$	4.21109	−	7.29382i	0.256755	−	0.444712i	−0.708616	−	0.705594i	$-0.750680\pi$
$269$	4.21109	−	7.29382i	0.256755	−	0.444712i	0.965371	+	0.260882i	$0.0840134\pi$
$270$	−4.47637	−	7.75329i	−0.272423	−	0.471850i
$271$	−10.3649	+	17.9525i	−0.629623	+	1.09054i	0.358004	+	0.933720i	$0.383457\pi$
$271$	−10.3649	+	17.9525i	−0.629623	+	1.09054i	−0.987627	+	0.156819i	$0.949876\pi$
$272$	−3.11409	−	5.39376i	−0.188819	−	0.327045i
$273$	−0.282361			−0.0170892
$274$	−3.39691			−0.205215
$275$	−16.1215	−	27.9232i	−0.972162	−	1.68383i
$276$	0.312544	+	0.541342i	0.0188129	+	0.0325849i
$277$	17.4442			1.04812			0.524060	−	0.851682i	$-0.324417\pi$
$277$	17.4442			1.04812			0.524060	+	0.851682i	$0.324417\pi$
$278$	5.19663			0.311673
$279$	−7.37198	−	12.7687i	−0.441349	−	0.764439i
$280$	2.16259	−	3.74571i	0.129239	−	0.223849i
$281$	−1.06205	−	1.83952i	−0.0633564	−	0.109737i	0.832607	−	0.553864i	$-0.186847\pi$
$281$	−1.06205	−	1.83952i	−0.0633564	−	0.109737i	−0.895964	+	0.444127i	$0.853514\pi$
$282$	−1.02709	+	1.77898i	−0.0611625	+	0.105936i
$283$	13.8348	−	23.9626i	0.822394	−	1.42443i	−0.0815012	−	0.996673i	$-0.525971\pi$
$283$	13.8348	−	23.9626i	0.822394	−	1.42443i	0.903895	−	0.427754i	$-0.140695\pi$
$284$	14.0026			0.830903
$285$	−5.87145	−	3.10384i	−0.347795	−	0.183855i
$286$	1.88545			0.111489
$287$	1.82386	−	3.15903i	0.107659	−	0.186471i
$288$	−1.43795	+	2.49061i	−0.0847322	+	0.146760i
$289$	−10.8951	−	18.8708i	−0.640888	−	1.11005i
$290$	12.6106	−	21.8423i	0.740522	−	1.28262i
$291$	−0.538413	−	0.932559i	−0.0315623	−	0.0546676i
$292$	−9.23080			−0.540192
$293$	−13.2326			−0.773058			−0.386529	−	0.922277i	$-0.626326\pi$
$293$	−13.2326			−0.773058			−0.386529	+	0.922277i	$0.626326\pi$
$294$	0.176135	+	0.305076i	0.0102724	+	0.0177924i
$295$	30.7111	+	53.1932i	1.78807	+	3.09703i
$296$	−10.6504			−0.619039
$297$	−4.86899			−0.282527
$298$	7.32518	+	12.6876i	0.424336	+	0.734972i
$299$	−0.711151	+	1.23175i	−0.0411269	+	0.0712339i
$300$	−2.41432	−	4.18172i	−0.139391	−	0.241432i
$301$	−0.436639	+	0.756280i	−0.0251674	+	0.0435913i
$302$	2.73341	−	4.73441i	0.157290	−	0.272434i
$303$	0.536732			0.0308344
$304$	0.162589	+	4.35587i	0.00932514	+	0.249826i
$305$	−11.7735			−0.674150
$306$	−8.95582	+	15.5119i	−0.511970	+	0.886759i
$307$	−12.4699	+	21.5985i	−0.711695	+	1.23269i	0.252526	+	0.967590i	$0.418739\pi$
$307$	−12.4699	+	21.5985i	−0.711695	+	1.23269i	−0.964221	+	0.265101i	$0.914595\pi$
$308$	−1.17614	−	2.03713i	−0.0670165	−	0.116076i
$309$	2.02972	−	3.51558i	0.115467	−	0.199994i
$310$	−11.0870	−	19.2032i	−0.629699	−	1.09067i
$311$	15.9458			0.904204			0.452102	−	0.891966i	$-0.350674\pi$
$311$	15.9458			0.904204			0.452102	+	0.891966i	$0.350674\pi$
$312$	0.282361			0.0159855
$313$	6.36013	+	11.0161i	0.359496	+	0.622665i	0.987877	−	0.155241i	$-0.0496153\pi$
$313$	6.36013	+	11.0161i	0.359496	+	0.622665i	−0.628381	+	0.777906i	$0.716282\pi$
$314$	−1.72595	−	2.98943i	−0.0974010	−	0.168704i
$315$	−12.4388			−0.700847
$316$	−7.04727			−0.396440
$317$	16.4545	+	28.5001i	0.924178	+	1.60072i	0.792877	+	0.609382i	$0.208582\pi$
$317$	16.4545	+	28.5001i	0.924178	+	1.60072i	0.131301	+	0.991343i	$0.458084\pi$
$318$	0.198456	−	0.343736i	0.0111288	−	0.0192757i
$319$	−6.85836	−	11.8790i	−0.383994	−	0.665098i
$320$	−2.16259	+	3.74571i	−0.120892	+	0.209392i
$321$	−2.81909	+	4.88281i	−0.157346	+	0.272532i
$322$	1.77445			0.0988863
$323$	1.01263	+	27.1291i	0.0563445	+	1.50950i
$324$	7.89855			0.438808
$325$	5.49345	−	9.51494i	0.304722	−	0.527794i
$326$	4.32995	−	7.49969i	0.239814	−	0.415370i
$327$	1.27528	+	2.20885i	0.0705232	+	0.122150i
$328$	−1.82386	+	3.15903i	−0.100706	+	0.174428i
$329$	2.91563	+	5.05002i	0.160744	+	0.278417i
$330$	−3.58400			−0.197293
$331$	−19.0079			−1.04477			−0.522384	−	0.852710i	$-0.674957\pi$
$331$	−19.0079			−1.04477			−0.522384	+	0.852710i	$0.674957\pi$
$332$	−7.77799	−	13.4719i	−0.426873	−	0.739365i
$333$	15.3147	+	26.5259i	0.839241	+	1.45361i
$334$	6.05944			0.331558
$335$	19.8113			1.08240
$336$	−0.176135	−	0.305076i	−0.00960898	−	0.0166432i
$337$	−14.0957	+	24.4145i	−0.767842	+	1.32994i	0.170889	+	0.985290i	$0.445336\pi$
$337$	−14.0957	+	24.4145i	−0.767842	+	1.32994i	−0.938731	+	0.344651i	$0.887997\pi$
$338$	−6.17876	−	10.7019i	−0.336080	−	0.582108i
$339$	−0.260040	+	0.450403i	−0.0141235	+	0.0244625i
$340$	−13.4690	+	23.3290i	−0.730458	+	1.26519i
$341$	−12.0594			−0.653055
$342$	10.6150	−	6.66847i	0.573991	−	0.360590i
$343$	1.00000			0.0539949
$344$	0.436639	−	0.756280i	0.0235420	−	0.0407759i
$345$	1.35181	−	2.34140i	0.0727789	−	0.126057i
$346$	7.81295	+	13.5324i	0.420027	+	0.727507i
$347$	−11.3646	+	19.6840i	−0.610083	+	1.05669i	0.381143	+	0.924516i	$0.375531\pi$
$347$	−11.3646	+	19.6840i	−0.610083	+	1.05669i	−0.991226	+	0.132178i	$0.957803\pi$
$348$	−1.02709	−	1.77898i	−0.0550579	−	0.0953631i
$349$	−4.72981			−0.253181			−0.126590	−	0.991955i	$-0.540403\pi$
$349$	−4.72981			−0.253181			−0.126590	+	0.991955i	$0.540403\pi$
$350$	−13.7072			−0.732679
$351$	−0.829562	−	1.43684i	−0.0442788	−	0.0766931i
$352$	1.17614	+	2.03713i	0.0626882	+	0.108579i
$353$	−5.76135			−0.306646			−0.153323	−	0.988176i	$-0.548997\pi$
$353$	−5.76135			−0.306646			−0.153323	+	0.988176i	$0.548997\pi$
$354$	5.00263			0.265887
$355$	−30.2819	−	52.4498i	−1.60720	−	2.78375i
$356$	−3.64773	+	6.31805i	−0.193329	+	0.334856i
$357$	−1.09700	−	1.90006i	−0.0580595	−	0.100562i
$358$	5.69977	−	9.87229i	0.301242	−	0.521767i
$359$	9.97554	−	17.2781i	0.526489	−	0.911905i	−0.473035	−	0.881044i	$-0.656842\pi$
$359$	9.97554	−	17.2781i	0.526489	−	0.911905i	0.999524	−	0.0308615i	$-0.00982507\pi$
$360$	12.4388			0.655583
$361$	8.24690	−	17.1169i	0.434047	−	0.900890i
$362$	−3.27791			−0.172283
$363$	0.962901	−	1.66779i	0.0505392	−	0.0875365i
$364$	0.400772	−	0.694158i	0.0210062	−	0.0363837i
$365$	19.9624	+	34.5760i	1.04488	+	1.80979i
$366$	−0.479457	+	0.830443i	−0.0250616	+	0.0434080i
$367$	0.620174	+	1.07417i	0.0323728	+	0.0560714i	0.881758	−	0.471702i	$-0.156360\pi$
$367$	0.620174	+	1.07417i	0.0323728	+	0.0560714i	−0.849385	+	0.527774i	$0.823027\pi$
$368$	−1.77445			−0.0924997
$369$	10.4905			0.546115
$370$	23.0323	+	39.8932i	1.19739	+	2.07395i
$371$	−0.563361	−	0.975771i	−0.0292483	−	0.0506595i
$372$	−1.80600			−0.0936365
$373$	24.8733			1.28789			0.643945	−	0.765072i	$-0.277297\pi$
$373$	24.8733			1.28789			0.643945	+	0.765072i	$0.277297\pi$
$374$	7.32518	+	12.6876i	0.378776	+	0.656059i
$375$	−6.63327	+	11.4892i	−0.342541	+	0.593298i
$376$	−2.91563	−	5.05002i	−0.150362	−	0.260435i
$377$	2.33701	−	4.04782i	0.120362	−	0.208473i
$378$	−1.03496	+	1.79259i	−0.0532323	+	0.0922011i
$379$	32.4274			1.66569			0.832843	−	0.553510i	$-0.186712\pi$
$379$	32.4274			1.66569			0.832843	+	0.553510i	$0.186712\pi$
$380$	15.9642	−	10.0290i	0.818947	−	0.514475i
$381$	−2.19493			−0.112450
$382$	−1.61932	+	2.80475i	−0.0828518	+	0.143503i
$383$	7.25527	−	12.5665i	0.370727	−	0.642118i	−0.618951	−	0.785430i	$-0.712442\pi$
$383$	7.25527	−	12.5665i	0.370727	−	0.642118i	0.989678	+	0.143312i	$0.0457753\pi$
$384$	0.176135	+	0.305076i	0.00898837	+	0.0155683i
$385$	−5.08700	+	8.81094i	−0.259257	+	0.449047i
$386$	6.02841	+	10.4415i	0.306838	+	0.531459i
$387$	−2.51146			−0.127665
$388$	3.05681			0.155186
$389$	−12.7618	−	22.1041i	−0.647050	−	1.12072i	−0.983824	−	0.179138i	$-0.942669\pi$
$389$	−12.7618	−	22.1041i	−0.647050	−	1.12072i	0.336774	−	0.941585i	$-0.390664\pi$
$390$	−0.610630	−	1.05764i	−0.0309205	−	0.0535558i
$391$	−11.0516			−0.558903
$392$	−1.00000			−0.0505076
$393$	0.645585	+	1.11819i	0.0325655	+	0.0564050i
$394$	−10.4690	+	18.1328i	−0.527420	+	0.913518i
$395$	15.2403	+	26.3971i	0.766825	+	1.32818i
$396$	3.38245	−	5.85858i	0.169975	−	0.294405i
$397$	−5.81863	+	10.0782i	−0.292029	+	0.505808i	−0.974289	−	0.225301i	$-0.927664\pi$
$397$	−5.81863	+	10.0782i	−0.292029	+	0.505808i	0.682261	+	0.731109i	$0.260997\pi$
$398$	−9.12672			−0.457481
$399$	0.0572755	+	1.53444i	0.00286736	+	0.0768183i
$400$	13.7072			0.685358
$401$	12.5870	−	21.8013i	0.628565	−	1.08871i	−0.359275	−	0.933232i	$-0.616976\pi$
$401$	12.5870	−	21.8013i	0.628565	−	1.08871i	0.987840	−	0.155474i	$-0.0496905\pi$
$402$	0.806779	−	1.39738i	0.0402385	−	0.0696951i
$403$	−2.05465	−	3.55875i	−0.102349	−	0.177274i
$404$	−0.761817	+	1.31951i	−0.0379018	+	0.0656479i
$405$	−17.0813	−	29.5857i	−0.848777	−	1.47013i
$406$	−5.83126			−0.289401
$407$	25.0525			1.24181
$408$	1.09700	+	1.90006i	0.0543097	+	0.0940672i
$409$	−15.8139	−	27.3904i	−0.781945	−	1.35437i	−0.930807	−	0.365510i	$-0.880894\pi$
$409$	−15.8139	−	27.3904i	−0.781945	−	1.35437i	0.148862	−	0.988858i	$-0.452439\pi$
$410$	15.7771			0.779174
$411$	1.19663			0.0590256
$412$	5.76182	+	9.97976i	0.283864	+	0.491667i
$413$	7.10054	−	12.2985i	0.349395	−	0.605170i
$414$	2.55158	+	4.41946i	0.125403	+	0.217205i
$415$	−33.6412	+	58.2683i	−1.65138	+	2.86028i
$416$	−0.400772	+	0.694158i	−0.0196495	+	0.0340339i
$417$	−1.83062			−0.0896460
$418$	−0.382454	−	10.2462i	−0.0187064	−	0.501157i
$419$	−19.9205			−0.973182			−0.486591	−	0.873630i	$-0.661760\pi$
$419$	−19.9205			−0.973182			−0.486591	+	0.873630i	$0.661760\pi$
$420$	−0.761817	+	1.31951i	−0.0371729	+	0.0643853i
$421$	−7.21372	+	12.4945i	−0.351575	+	0.608946i	−0.986526	−	0.163607i	$-0.947687\pi$
$421$	−7.21372	+	12.4945i	−0.351575	+	0.608946i	0.634950	+	0.772553i	$0.281020\pi$
$422$	−2.00000	−	3.46410i	−0.0973585	−	0.168630i
$423$	−8.38508	+	14.5234i	−0.407697	+	0.706151i
$424$	0.563361	+	0.975771i	0.0273592	+	0.0473876i
$425$	85.3707			4.14109
$426$	−4.93272			−0.238991
$427$	1.36105	+	2.35740i	0.0658656	+	0.114083i
$428$	−8.00263	−	13.8610i	−0.386822	−	0.669995i
$429$	−0.664189			−0.0320673
$430$	−3.77708			−0.182147
$431$	7.32518	+	12.6876i	0.352841	+	0.611139i	0.986746	−	0.162272i	$-0.0518822\pi$
$431$	7.32518	+	12.6876i	0.352841	+	0.611139i	−0.633905	+	0.773411i	$0.718549\pi$
$432$	1.03496	−	1.79259i	0.0497943	−	0.0862463i
$433$	9.00217	+	15.5922i	0.432616	+	0.749314i	0.997098	−	0.0761322i	$-0.0242571\pi$
$433$	9.00217	+	15.5922i	0.432616	+	0.749314i	−0.564481	+	0.825446i	$0.690924\pi$
$434$	−2.56336	+	4.43987i	−0.123045	+	0.213121i
$435$	−4.44236	+	7.69439i	−0.212995	+	0.368918i
$436$	−7.24035			−0.346750
$437$	6.83800	+	3.61478i	0.327106	+	0.172919i
$438$	3.25174			0.155374
$439$	10.8168	−	18.7353i	0.516258	−	0.894185i	−0.483564	−	0.875309i	$-0.660658\pi$
$439$	10.8168	−	18.7353i	0.516258	−	0.894185i	0.999822	−	0.0188760i	$-0.00600878\pi$
$440$	5.08700	−	8.81094i	0.242513	−	0.420045i
$441$	1.43795	+	2.49061i	0.0684739	+	0.118600i
$442$	−2.49608	+	4.32334i	−0.118726	+	0.205640i
$443$	1.72732	+	2.99181i	0.0820677	+	0.142145i	0.904138	−	0.427241i	$-0.140514\pi$
$443$	1.72732	+	2.99181i	0.0820677	+	0.142145i	−0.822070	+	0.569386i	$0.807181\pi$
$444$	3.75181			0.178053
$445$	31.5542			1.49581
$446$	−6.12672	−	10.6118i	−0.290109	−	0.502483i
$447$	−2.58045	−	4.46947i	−0.122051	−	0.211398i
$448$	1.00000			0.0472456
$449$	−19.5069			−0.920587			−0.460294	−	0.887767i	$-0.652256\pi$
$449$	−19.5069			−0.920587			−0.460294	+	0.887767i	$0.652256\pi$
$450$	−19.7103	−	34.1392i	−0.929151	−	1.60934i
$451$	4.29022	−	7.43089i	0.202019	−	0.349907i
$452$	−0.738183	−	1.27857i	−0.0347212	−	0.0601389i
$453$	−0.962901	+	1.66779i	−0.0452410	+	0.0783598i
$454$	−11.6765	+	20.2244i	−0.548007	+	0.949176i
$455$	−3.46682			−0.162527
$456$	−0.0572755	−	1.53444i	−0.00268217	−	0.0718569i
$457$	−13.2876			−0.621568			−0.310784	−	0.950480i	$-0.600592\pi$
$457$	−13.2876			−0.621568			−0.310784	+	0.950480i	$0.600592\pi$
$458$	−12.9415	+	22.4153i	−0.604716	+	1.04740i
$459$	6.44588	−	11.1646i	0.300868	−	0.521119i
$460$	3.83741	+	6.64659i	0.178920	+	0.309899i
$461$	−8.09577	+	14.0223i	−0.377058	+	0.653083i	−0.990633	−	0.136553i	$-0.956397\pi$
$461$	−8.09577	+	14.0223i	−0.377058	+	0.653083i	0.613575	+	0.789636i	$0.289731\pi$
$462$	0.414318	+	0.717620i	0.0192758	+	0.0333867i
$463$	21.5010			0.999236			0.499618	−	0.866246i	$-0.333474\pi$
$463$	21.5010			0.999236			0.499618	+	0.866246i	$0.333474\pi$
$464$	5.83126			0.270710
$465$	3.90563	+	6.76474i	0.181119	+	0.313707i
$466$	−1.30154	−	2.25434i	−0.0602929	−	0.104430i
$467$	−7.95536			−0.368130			−0.184065	−	0.982914i	$-0.558926\pi$
$467$	−7.95536			−0.368130			−0.184065	+	0.982914i	$0.558926\pi$
$468$	2.30517			0.106556
$469$	−2.29022	−	3.96678i	−0.105753	−	0.183169i
$470$	−12.6106	+	21.8423i	−0.581685	+	1.00751i
$471$	0.608002	+	1.05309i	0.0280153	+	0.0485239i
$472$	−7.10054	+	12.2985i	−0.326829	+	0.566084i
$473$	−1.02709	+	1.77898i	−0.0472258	+	0.0817974i
$474$	2.48255			0.114027
$475$	−52.8217	−	27.9232i	−2.42363	−	1.28121i
$476$	6.22818			0.285468
$477$	1.62017	−	2.80622i	0.0741827	−	0.128488i
$478$	−11.6390	+	20.1594i	−0.532357	+	0.922070i
$479$	13.3178	+	23.0671i	0.608506	+	1.05396i	0.991487	+	0.130207i	$0.0415641\pi$
$479$	13.3178	+	23.0671i	0.608506	+	1.05396i	−0.382981	+	0.923756i	$0.625103\pi$
$480$	0.761817	−	1.31951i	0.0347720	−	0.0602269i
$481$	4.26837	+	7.39303i	0.194621	+	0.337093i
$482$	8.94319			0.407351
$483$	−0.625088			−0.0284425
$484$	2.73341	+	4.73441i	0.124246	+	0.215200i
$485$	−6.61063	−	11.4499i	−0.300173	−	0.519915i
$486$	−8.99216			−0.407893
$487$	5.34964			0.242415			0.121208	−	0.992627i	$-0.461323\pi$
$487$	5.34964			0.242415			0.121208	+	0.992627i	$0.461323\pi$
$488$	−1.36105	−	2.35740i	−0.0616116	−	0.106714i
$489$	−1.52532	+	2.64192i	−0.0689771	+	0.119472i
$490$	2.16259	+	3.74571i	0.0976958	+	0.169214i
$491$	−0.228176	+	0.395213i	−0.0102974	+	0.0178357i	−0.871128	−	0.491056i	$-0.836611\pi$
$491$	−0.228176	+	0.395213i	−0.0102974	+	0.0178357i	0.860831	+	0.508891i	$0.169945\pi$
$492$	0.642494	−	1.11283i	0.0289659	−	0.0501704i
$493$	36.3181			1.63569
$494$	2.95850	−	1.85857i	0.133109	−	0.0836211i
$495$	−29.2594			−1.31511
$496$	2.56336	−	4.43987i	0.115098	−	0.199356i
$497$	−7.00131	+	12.1266i	−0.314052	+	0.543954i
$498$	2.73996	+	4.74575i	0.122781	+	0.212662i
$499$	2.99523	−	5.18789i	0.134085	−	0.232242i	−0.791163	−	0.611606i	$-0.790524\pi$
$499$	2.99523	−	5.18789i	0.134085	−	0.232242i	0.925247	+	0.379364i	$0.123857\pi$
$500$	−18.8300	−	32.6146i	−0.842105	−	1.45857i
$501$	−2.13456			−0.0953653
$502$	−27.3872			−1.22235
$503$	−14.1464	−	24.5023i	−0.630758	−	1.09251i	−0.987397	−	0.158263i	$-0.949411\pi$
$503$	−14.1464	−	24.5023i	−0.630758	−	1.09251i	0.356639	−	0.934242i	$-0.383923\pi$
$504$	−1.43795	−	2.49061i	−0.0640515	−	0.110940i
$505$	6.58999			0.293251
$506$	4.17399			0.185557
$507$	2.17660	+	3.76998i	0.0966661	+	0.167431i
$508$	3.11540	−	5.39603i	0.138224	−	0.239410i
$509$	−9.54949	−	16.5402i	−0.423274	−	0.733132i	0.572984	−	0.819567i	$-0.305786\pi$
$509$	−9.54949	−	16.5402i	−0.423274	−	0.733132i	−0.996257	+	0.0864349i	$0.972453\pi$
$510$	4.74473	−	8.21812i	0.210100	−	0.363904i
$511$	4.61540	−	7.99411i	0.204173	−	0.353639i
$512$	−1.00000			−0.0441942
$513$	−7.64003	+	4.79958i	−0.337316	+	0.211907i
$514$	−8.49209			−0.374570
$515$	24.9209	−	43.1642i	1.09815	−	1.90204i
$516$	−0.153815	+	0.266415i	−0.00677133	+	0.0117283i
$517$	6.85836	+	11.8790i	0.301630	+	0.522439i
$518$	5.32518	−	9.22348i	0.233975	−	0.405256i
$519$	−2.75227	−	4.76708i	−0.120811	−	0.209251i
$520$	3.46682			0.152030
$521$	24.1294			1.05713			0.528563	−	0.848894i	$-0.322731\pi$
$521$	24.1294			1.05713			0.528563	+	0.848894i	$0.322731\pi$
$522$	−8.38508	−	14.5234i	−0.367005	−	0.635671i
$523$	5.96027	+	10.3235i	0.260625	+	0.451415i	0.966408	−	0.257013i	$-0.0827382\pi$
$523$	5.96027	+	10.3235i	0.260625	+	0.451415i	−0.705783	+	0.708428i	$0.749405\pi$
$524$	−3.66528			−0.160118
$525$	4.82864			0.210739
$526$	−2.87459	−	4.97894i	−0.125338	−	0.217092i
$527$	15.9651	−	27.6523i	0.695449	−	1.20455i
$528$	−0.414318	−	0.717620i	−0.0180309	−	0.0312304i
$529$	9.92566	−	17.1917i	0.431550	−	0.747467i
$530$	2.43664	−	4.22038i	0.105841	−	0.183322i
$531$	40.8410			1.77235
$532$	−3.85358	−	2.03713i	−0.167074	−	0.0883206i
$533$	2.92382			0.126645
$534$	1.28499	−	2.22567i	0.0556069	−	0.0963140i
$535$	−34.6128	+	59.9511i	−1.49644	+	2.59191i
$536$	2.29022	+	3.96678i	0.0989226	+	0.171339i
$537$	−2.00786	+	3.47772i	−0.0866457	+	0.150075i
$538$	−4.21109	−	7.29382i	−0.181553	−	0.314459i
$539$	2.35227			0.101319
$540$	−8.95273			−0.385264
$541$	−5.92055	−	10.2547i	−0.254544	−	0.440883i	0.710227	−	0.703972i	$-0.248592\pi$
$541$	−5.92055	−	10.2547i	−0.254544	−	0.440883i	−0.964772	+	0.263089i	$0.915259\pi$
$542$	10.3649	+	17.9525i	0.445211	+	0.771128i
$543$	1.15471			0.0495534
$544$	−6.22818			−0.267031
$545$	15.6579	+	27.1203i	0.670711	+	1.16171i
$546$	−0.141180	+	0.244532i	−0.00604196	+	0.0104650i
$547$	−17.7374	−	30.7220i	−0.758394	−	1.31358i	−0.943669	−	0.330891i	$-0.892651\pi$
$547$	−17.7374	−	30.7220i	−0.758394	−	1.31358i	0.185275	−	0.982687i	$-0.440683\pi$
$548$	−1.69846	+	2.94181i	−0.0725544	+	0.125668i
$549$	−3.91424	+	6.77966i	−0.167056	+	0.289349i
$550$	−32.2430			−1.37485
$551$	−22.4713	−	11.8790i	−0.957308	−	0.506063i
$552$	0.625088			0.0266055
$553$	3.52363	−	6.10311i	0.149840	−	0.259531i
$554$	8.72209	−	15.1071i	0.370566	−	0.641839i
$555$	−8.11363	−	14.0532i	−0.344404	−	0.596526i
$556$	2.59832	−	4.50042i	0.110193	−	0.190860i
$557$	−5.84881	−	10.1304i	−0.247822	−	0.429241i	0.715099	−	0.699023i	$-0.246382\pi$
$557$	−5.84881	−	10.1304i	−0.247822	−	0.429241i	−0.962921	+	0.269782i	$0.913048\pi$
$558$	−14.7440			−0.624162
$559$	−0.699970			−0.0296056
$560$	−2.16259	−	3.74571i	−0.0913861	−	0.158285i
$561$	−2.58045	−	4.46947i	−0.108947	−	0.188701i
$562$	−2.12409			−0.0895995
$563$	−12.2562			−0.516537			−0.258268	−	0.966073i	$-0.583152\pi$
$563$	−12.2562			−0.516537			−0.258268	+	0.966073i	$0.583152\pi$
$564$	1.02709	+	1.77898i	0.0432484	+	0.0749084i
$565$	−3.19277	+	5.53004i	−0.134321	+	0.232651i
$566$	−13.8348	−	23.9626i	−0.581520	−	1.00722i
$567$	−3.94927	+	6.84034i	−0.165854	+	0.287267i
$568$	7.00131	−	12.1266i	0.293769	−	0.508822i
$569$	5.80862			0.243510			0.121755	−	0.992560i	$-0.461148\pi$
$569$	5.80862			0.243510			0.121755	+	0.992560i	$0.461148\pi$
$570$	−5.62373	+	3.53291i	−0.235552	+	0.147977i
$571$	37.2308			1.55806			0.779030	−	0.626986i	$-0.215712\pi$
$571$	37.2308			1.55806			0.779030	+	0.626986i	$0.215712\pi$
$572$	0.942725	−	1.63285i	0.0394173	−	0.0682728i
$573$	0.570440	−	0.988032i	0.0238305	−	0.0412756i
$574$	−1.82386	−	3.15903i	−0.0761266	−	0.131855i
$575$	12.1614	−	21.0641i	0.507164	−	0.878433i
$576$	1.43795	+	2.49061i	0.0599147	+	0.103775i
$577$	−17.3444			−0.722058			−0.361029	−	0.932555i	$-0.617574\pi$
$577$	−17.3444			−0.722058			−0.361029	+	0.932555i	$0.617574\pi$
$578$	−21.7902			−0.906352
$579$	−2.12363	−	3.67824i	−0.0882551	−	0.152862i
$580$	−12.6106	−	21.8423i	−0.523628	−	0.906950i
$581$	15.5560			0.645371
$582$	−1.07683			−0.0446359
$583$	−1.32518	−	2.29528i	−0.0548833	−	0.0950606i
$584$	−4.61540	+	7.99411i	−0.190987	+	0.330799i
$585$	−4.98513	−	8.63449i	−0.206110	−	0.356992i
$586$	−6.61631	+	11.4598i	−0.273317	+	0.473400i
$587$	16.8781	−	29.2337i	0.696633	−	1.20660i	−0.272995	−	0.962016i	$-0.588014\pi$
$587$	16.8781	−	29.2337i	0.696633	−	1.20660i	0.969627	−	0.244587i	$-0.0786525\pi$
$588$	0.352271			0.0145274
$589$	−18.9227	+	11.8875i	−0.779697	+	0.489817i
$590$	61.4222			2.52871
$591$	3.68792	−	6.38766i	0.151701	−	0.262753i
$592$	−5.32518	+	9.22348i	−0.218863	+	0.379083i
$593$	7.75395	+	13.4302i	0.318417	+	0.551514i	0.980158	−	0.198218i	$-0.0635155\pi$
$593$	7.75395	+	13.4302i	0.318417	+	0.551514i	−0.661741	+	0.749732i	$0.730182\pi$
$594$	−2.43449	+	4.21667i	−0.0998885	+	0.173012i
$595$	−13.4690	−	23.3290i	−0.552175	−	0.956395i
$596$	14.6504			0.600102
$597$	3.21508			0.131584
$598$	0.711151	+	1.23175i	0.0290811	+	0.0503700i
$599$	−19.0608	−	33.0142i	−0.778801	−	1.34892i	−0.932633	−	0.360826i	$-0.882495\pi$
$599$	−19.0608	−	33.0142i	−0.778801	−	1.34892i	0.153832	−	0.988097i	$-0.450839\pi$
$600$	−4.82864			−0.197128
$601$	13.4799			0.549857			0.274929	−	0.961465i	$-0.411346\pi$
$601$	13.4799			0.549857			0.274929	+	0.961465i	$0.411346\pi$
$602$	0.436639	+	0.756280i	0.0177961	+	0.0308237i
$603$	6.58647	−	11.4081i	0.268222	−	0.464573i
$604$	−2.73341	−	4.73441i	−0.111221	−	0.192640i
$605$	11.8225	−	20.4772i	0.480653	−	0.832515i
$606$	0.268366	−	0.464824i	0.0109016	−	0.0188822i
$607$	−6.25345			−0.253820			−0.126910	−	0.991914i	$-0.540506\pi$
$607$	−6.25345			−0.253820			−0.126910	+	0.991914i	$0.540506\pi$
$608$	3.85358	+	2.03713i	0.156284	+	0.0826164i
$609$	2.05418			0.0832398
$610$	−5.88676	+	10.1962i	−0.238348	+	0.412831i
$611$	−2.33701	+	4.04782i	−0.0945452	+	0.163757i
$612$	8.95582	+	15.5119i	0.362018	+	0.627033i
$613$	−2.75999	+	4.78045i	−0.111475	+	0.193081i	−0.916365	−	0.400343i	$-0.868891\pi$
$613$	−2.75999	+	4.78045i	−0.111475	+	0.193081i	0.804890	+	0.593424i	$0.202224\pi$
$614$	12.4699	+	21.5985i	0.503244	+	0.871644i
$615$	−5.55781			−0.224112
$616$	−2.35227			−0.0947757
$617$	−11.3912	−	19.7301i	−0.458591	−	0.794303i	0.540296	−	0.841475i	$-0.318312\pi$
$617$	−11.3912	−	19.7301i	−0.458591	−	0.794303i	−0.998887	+	0.0471721i	$0.984979\pi$
$618$	−2.02972	−	3.51558i	−0.0816473	−	0.141417i
$619$	−10.6879			−0.429584			−0.214792	−	0.976660i	$-0.568907\pi$
$619$	−10.6879			−0.429584			−0.214792	+	0.976660i	$0.568907\pi$
$620$	−22.1740			−0.890529
$621$	−1.83648	−	3.18087i	−0.0736953	−	0.127644i
$622$	7.97291	−	13.8095i	0.319684	−	0.553710i
$623$	−3.64773	−	6.31805i	−0.146143	−	0.253127i
$624$	0.141180	−	0.244532i	0.00565174	−	0.00978909i
$625$	−47.1753	+	81.7101i	−1.88701	+	3.26840i
$626$	12.7203			0.508404
$627$	0.134727	+	3.60943i	0.00538049	+	0.144147i
$628$	−3.45190			−0.137746
$629$	−33.1661	+	57.4455i	−1.32242	+	2.29050i
$630$	−6.21940	+	10.7723i	−0.247787	+	0.429180i
$631$	10.2534	+	17.7595i	0.408183	+	0.706994i	0.994686	−	0.102953i	$-0.0328291\pi$
$631$	10.2534	+	17.7595i	0.408183	+	0.706994i	−0.586503	+	0.809947i	$0.699496\pi$
$632$	−3.52363	+	6.10311i	−0.140163	+	0.242769i
$633$	0.704542	+	1.22030i	0.0280030	+	0.0485027i
$634$	32.9091			1.30699
$635$	−26.9493			−1.06945
$636$	−0.198456	−	0.343736i	−0.00786928	−	0.0136300i
$637$	0.400772	+	0.694158i	0.0158792	+	0.0275035i
$638$	−13.7167			−0.543050
$639$	−40.2702			−1.59307
$640$	2.16259	+	3.74571i	0.0854838	+	0.148062i
$641$	−11.1508	+	19.3138i	−0.440431	+	0.762849i	−0.997721	−	0.0674689i	$-0.978508\pi$
$641$	−11.1508	+	19.3138i	−0.440431	+	0.762849i	0.557290	+	0.830318i	$0.311841\pi$
$642$	2.81909	+	4.88281i	0.111261	+	0.192709i
$643$	1.39600	−	2.41794i	0.0550529	−	0.0953544i	−0.837186	−	0.546919i	$-0.815801\pi$
$643$	1.39600	−	2.41794i	0.0550529	−	0.0953544i	0.892238	+	0.451565i	$0.149134\pi$
$644$	0.887226	−	1.53672i	0.0349616	−	0.0605553i
$645$	1.33056			0.0523906
$646$	24.0008	+	12.6876i	0.944299	+	0.499186i
$647$	−5.69144			−0.223754			−0.111877	−	0.993722i	$-0.535686\pi$
$647$	−5.69144			−0.223754			−0.111877	+	0.993722i	$0.535686\pi$
$648$	3.94927	−	6.84034i	0.155142	−	0.268714i
$649$	16.7024	−	28.9294i	0.655626	−	1.13558i
$650$	−5.49345	−	9.51494i	−0.215471	−	0.373207i
$651$	0.902998	−	1.56404i	0.0353913	−	0.0612995i
$652$	−4.32995	−	7.49969i	−0.169574	−	0.293711i
$653$	0.485267			0.0189900			0.00949499	−	0.999955i	$-0.496978\pi$
$653$	0.485267			0.0189900			0.00949499	+	0.999955i	$0.496978\pi$
$654$	2.55056			0.0997349
$655$	7.92649	+	13.7291i	0.309714	+	0.536440i
$656$	1.82386	+	3.15903i	0.0712099	+	0.123339i
$657$	26.5469			1.03569
$658$	5.83126			0.227326
$659$	8.90117	+	15.4173i	0.346741	+	0.600572i	0.985668	−	0.168694i	$-0.0539551\pi$
$659$	8.90117	+	15.4173i	0.346741	+	0.600572i	−0.638928	+	0.769267i	$0.720622\pi$
$660$	−1.79200	+	3.10384i	−0.0697535	+	0.120817i
$661$	−9.93967	−	17.2160i	−0.386608	−	0.669625i	0.605383	−	0.795935i	$-0.293020\pi$
$661$	−9.93967	−	17.2160i	−0.386608	−	0.669625i	−0.991991	+	0.126309i	$0.959687\pi$
$662$	−9.50394	+	16.4613i	−0.369381	+	0.639787i
$663$	0.879296	−	1.52299i	0.0341490	−	0.0591478i
$664$	−15.5560			−0.603689
$665$	0.703228	+	18.8399i	0.0272700	+	0.730580i
$666$	30.6294			1.18687
$667$	5.17365	−	8.96102i	0.200324	−	0.346972i
$668$	3.02972	−	5.24763i	0.117223	−	0.203037i
$669$	2.15827	+	3.73823i	0.0834434	+	0.144528i
$670$	9.90563	−	17.1570i	0.382688	−	0.662835i
$671$	3.20155	+	5.54524i	0.123594	+	0.214072i
$672$	−0.352271			−0.0135891
$673$	−23.8339			−0.918729			−0.459365	−	0.888248i	$-0.651923\pi$
$673$	−23.8339			−0.918729			−0.459365	+	0.888248i	$0.651923\pi$
$674$	14.0957	+	24.4145i	0.542946	+	0.940411i
$675$	14.1863	+	24.5714i	0.546031	+	0.945754i
$676$	−12.3575			−0.475289
$677$	−24.7893			−0.952728			−0.476364	−	0.879248i	$-0.658046\pi$
$677$	−24.7893			−0.952728			−0.476364	+	0.879248i	$0.658046\pi$
$678$	0.260040	+	0.450403i	0.00998679	+	0.0172976i
$679$	−1.52841	+	2.64728i	−0.0586549	+	0.101593i
$680$	13.4690	+	23.3290i	0.516512	+	0.894625i
$681$	4.11330	−	7.12445i	0.157622	−	0.273010i
$682$	−6.02972	+	10.4438i	−0.230890	+	0.399913i
$683$	−39.3592			−1.50604			−0.753020	−	0.657998i	$-0.771403\pi$
$683$	−39.3592			−1.50604			−0.753020	+	0.657998i	$0.771403\pi$
$684$	−0.467591	−	12.5271i	−0.0178788	−	0.478984i
$685$	14.6922			0.561362
$686$	0.500000	−	0.866025i	0.0190901	−	0.0330650i
$687$	4.55891	−	7.89626i	0.173933	−	0.301261i
$688$	−0.436639	−	0.756280i	−0.0166467	−	0.0288329i
$689$	0.451559	−	0.782123i	0.0172030	−	0.0297965i
$690$	−1.35181	−	2.34140i	−0.0514625	−	0.0891356i
$691$	27.8226			1.05842			0.529211	−	0.848490i	$-0.322488\pi$
$691$	27.8226			1.05842			0.529211	+	0.848490i	$0.322488\pi$
$692$	15.6259			0.594007
$693$	3.38245	+	5.85858i	0.128489	+	0.222549i
$694$	11.3646	+	19.6840i	0.431394	+	0.747196i
$695$	−22.4764			−0.852577
$696$	−2.05418			−0.0778637
$697$	11.3593	+	19.6750i	0.430266	+	0.745243i
$698$	−2.36491	+	4.09614i	−0.0895130	+	0.155041i
$699$	0.458496	+	0.794139i	0.0173419	+	0.0300371i
$700$	−6.85358	+	11.8708i	−0.259041	+	0.448672i
$701$	18.7666	−	32.5047i	0.708805	−	1.22769i	−0.256496	−	0.966545i	$-0.582568\pi$
$701$	18.7666	−	32.5047i	0.708805	−	1.22769i	0.965301	−	0.261141i	$-0.0840988\pi$
$702$	−1.65912			−0.0626196
$703$	39.3104	−	24.6954i	1.48262	−	0.931405i
$704$	2.35227			0.0886545
$705$	4.44236	−	7.69439i	0.167309	−	0.289787i
$706$	−2.88068	+	4.98948i	−0.108416	+	0.187782i
$707$	−0.761817	−	1.31951i	−0.0286511	−	0.0496251i
$708$	2.50131	−	4.33240i	0.0940051	−	0.162822i
$709$	−5.69008	−	9.85551i	−0.213696	−	0.370132i	0.739173	−	0.673516i	$-0.235217\pi$
$709$	−5.69008	−	9.85551i	−0.213696	−	0.370132i	−0.952868	+	0.303384i	$0.901883\pi$
$710$	−60.5639			−2.27292
$711$	20.2673			0.760082
$712$	3.64773	+	6.31805i	0.136704	+	0.236779i
$713$	−4.54856	−	7.87834i	−0.170345	−	0.295046i
$714$	−2.19400			−0.0821086
$715$	−8.15490			−0.304976
$716$	−5.69977	−	9.87229i	−0.213010	−	0.368945i
$717$	4.10009	−	7.10157i	0.153121	−	0.265213i
$718$	−9.97554	−	17.2781i	−0.372284	−	0.644814i
$719$	20.1609	−	34.9197i	0.751874	−	1.30228i	−0.195039	−	0.980796i	$-0.562483\pi$
$719$	20.1609	−	34.9197i	0.751874	−	1.30228i	0.946913	−	0.321489i	$-0.104183\pi$
$720$	6.21940	−	10.7723i	0.231783	−	0.401461i
$721$	−11.5236			−0.429163
$722$	−10.7002	−	15.7005i	−0.398221	−	0.584311i
$723$	−3.15042			−0.117166
$724$	−1.63895	+	2.83875i	−0.0609113	+	0.105501i
$725$	−39.9651	+	69.2215i	−1.48427	+	2.57082i
$726$	−0.962901	−	1.66779i	−0.0357366	−	0.0618976i
$727$	−0.778903	+	1.34910i	−0.0288879	+	0.0500353i	−0.880108	−	0.474774i	$-0.842530\pi$
$727$	−0.778903	+	1.34910i	−0.0288879	+	0.0500353i	0.851220	+	0.524809i	$0.175863\pi$
$728$	−0.400772	−	0.694158i	−0.0148536	−	0.0257272i
$729$	−20.5280			−0.760295
$730$	39.9249			1.47769
$731$	−2.71946	−	4.71025i	−0.100583	−	0.174215i
$732$	0.479457	+	0.830443i	0.0177212	+	0.0306941i
$733$	−22.7825			−0.841489			−0.420745	−	0.907179i	$-0.638231\pi$
$733$	−22.7825			−0.841489			−0.420745	+	0.907179i	$0.638231\pi$
$734$	1.24035			0.0457821
$735$	−0.761817	−	1.31951i	−0.0281001	−	0.0486707i
$736$	−0.887226	+	1.53672i	−0.0327036	+	0.0566443i
$737$	−5.38723	−	9.33095i	−0.198441	−	0.343710i
$738$	5.24526	−	9.08506i	0.193081	−	0.334426i
$739$	1.32041	−	2.28701i	0.0485719	−	0.0841291i	−0.840717	−	0.541474i	$-0.817866\pi$
$739$	1.32041	−	2.28701i	0.0485719	−	0.0841291i	0.889289	+	0.457345i	$0.151200\pi$
$740$	46.0647			1.69337
$741$	−1.04219	+	0.654721i	−0.0382859	+	0.0240518i
$742$	−1.12672			−0.0413633
$743$	9.39776	−	16.2774i	0.344770	−	0.597160i	−0.640542	−	0.767924i	$-0.721290\pi$
$743$	9.39776	−	16.2774i	0.344770	−	0.597160i	0.985312	+	0.170764i	$0.0546234\pi$
$744$	−0.902998	+	1.56404i	−0.0331055	+	0.0573404i
$745$	−31.6827	−	54.8761i	−1.16076	−	2.01050i
$746$	12.4366	−	21.5409i	0.455338	−	0.788668i
$747$	22.3688	+	38.7438i	0.818430	+	1.41756i
$748$	14.6504			0.535670
$749$	16.0053			0.584819
$750$	6.63327	+	11.4892i	0.242213	+	0.419525i
$751$	21.3444	+	36.9696i	0.778869	+	1.34904i	0.932594	+	0.360927i	$0.117540\pi$
$751$	21.3444	+	36.9696i	0.778869	+	1.34904i	−0.153725	+	0.988114i	$0.549127\pi$
$752$	−5.83126			−0.212644
$753$	9.64773			0.351583
$754$	−2.33701	−	4.04782i	−0.0851088	−	0.147413i
$755$	−11.8225	+	20.4772i	−0.430264	+	0.745240i
$756$	1.03496	+	1.79259i	0.0376410	+	0.0651960i
$757$	−21.9187	+	37.9643i	−0.796650	+	1.37984i	0.125137	+	0.992139i	$0.460063\pi$
$757$	−21.9187	+	37.9643i	−0.796650	+	1.37984i	−0.921786	+	0.387698i	$0.873270\pi$
$758$	16.2137	−	28.0830i	0.588909	−	1.02002i
$759$	−1.47038			−0.0533713
$760$	−0.703228	−	18.8399i	−0.0255088	−	0.683395i
$761$	5.22462			0.189392			0.0946962	−	0.995506i	$-0.469812\pi$
$761$	5.22462			0.189392			0.0946962	+	0.995506i	$0.469812\pi$
$762$	−1.09747	+	1.90087i	−0.0397570	+	0.0688611i
$763$	3.62017	−	6.27033i	0.131059	−	0.227001i
$764$	1.61932	+	2.80475i	0.0585850	+	0.101472i
$765$	38.7355	−	67.0919i	1.40049	−	2.42571i
$766$	−7.25527	−	12.5665i	−0.262144	−	0.454046i
$767$	11.3828			0.411009
$768$	0.352271			0.0127115
$769$	16.4839	+	28.5510i	0.594425	+	1.02957i	0.993628	+	0.112712i	$0.0359536\pi$
$769$	16.4839	+	28.5510i	0.594425	+	1.02957i	−0.399203	+	0.916863i	$0.630713\pi$
$770$	5.08700	+	8.81094i	0.183323	+	0.317524i
$771$	2.99152			0.107737
$772$	12.0568			0.433934
$773$	−21.8453	−	37.8372i	−0.785721	−	1.36091i	−0.928568	−	0.371163i	$-0.878959\pi$
$773$	−21.8453	−	37.8372i	−0.785721	−	1.36091i	0.142847	−	0.989745i	$-0.454374\pi$
$774$	−1.25573	+	2.17499i	−0.0451363	+	0.0781784i
$775$	35.1364	+	60.8581i	1.26214	+	2.18609i
$776$	1.52841	−	2.64728i	0.0548666	−	0.0950317i
$777$	−1.87591	+	3.24916i	−0.0672977	+	0.116563i
$778$	−25.5236			−0.915067
$779$	−0.593082	−	15.8890i	−0.0212494	−	0.569283i
$780$	−1.22126			−0.0437281
$781$	−16.4690	+	28.5251i	−0.589307	+	1.02071i
$782$	−5.52580	+	9.57097i	−0.197602	+	0.342257i
$783$	6.03510	+	10.4531i	0.215677	+	0.373563i
$784$	−0.500000	+	0.866025i	−0.0178571	+	0.0309295i
$785$	7.46504	+	12.9298i	0.266439	+	0.461486i
$786$	1.29117			0.0460545
$787$	26.7431			0.953288			0.476644	−	0.879097i	$-0.341853\pi$
$787$	26.7431			0.953288			0.476644	+	0.879097i	$0.341853\pi$
$788$	10.4690	+	18.1328i	0.372942	+	0.645955i
$789$	1.01263	+	1.75393i	0.0360508	+	0.0624417i
$790$	30.4807			1.08445
$791$	1.47637			0.0524935
$792$	−3.38245	−	5.85858i	−0.120190	−	0.208176i
$793$	−1.09094	+	1.88956i	−0.0387403	+	0.0671002i
$794$	5.81863	+	10.0782i	0.206495	+	0.357661i
$795$	−0.858357	+	1.48672i	−0.0304428	+	0.0527284i
$796$	−4.56336	+	7.90397i	−0.161744	+	0.280149i
$797$	7.16861			0.253925			0.126963	−	0.991907i	$-0.459477\pi$
$797$	7.16861			0.253925			0.126963	+	0.991907i	$0.459477\pi$
$798$	1.35751	+	0.717620i	0.0480552	+	0.0254035i
$799$	−36.3181			−1.28484
$800$	6.85358	−	11.8708i	0.242311	−	0.419695i
$801$	10.4905	−	18.1701i	0.370664	−	0.642010i
$802$	−12.5870	−	21.8013i	−0.444462	−	0.769831i
$803$	10.8567	−	18.8043i	0.383124	−	0.663590i
$804$	−0.806779	−	1.39738i	−0.0284529	−	0.0492819i
$805$	−7.67482			−0.270502
$806$	−4.10929			−0.144744
$807$	1.48344	+	2.56940i	0.0522197	+	0.0904472i
$808$	0.761817	+	1.31951i	0.0268006	+	0.0464201i
$809$	1.58109			0.0555881			0.0277941	−	0.999614i	$-0.491152\pi$
$809$	1.58109			0.0555881			0.0277941	+	0.999614i	$0.491152\pi$
$810$	−34.1626			−1.20035
$811$	−0.705005	−	1.22110i	−0.0247561	−	0.0428788i	0.853382	−	0.521286i	$-0.174548\pi$
$811$	−0.705005	−	1.22110i	−0.0247561	−	0.0428788i	−0.878138	+	0.478407i	$0.841214\pi$
$812$	−2.91563	+	5.05002i	−0.102319	+	0.177221i
$813$	−3.65125	−	6.32416i	−0.128055	−	0.221798i
$814$	12.5263	−	21.6961i	0.439045	−	0.760449i
$815$	−18.7278	+	32.4375i	−0.656007	+	1.13624i
$816$	2.19400			0.0768055
$817$	0.141986	+	3.80388i	0.00496744	+	0.133081i
$818$	−31.6277			−1.10584
$819$	−1.15258	+	1.99633i	−0.0402745	+	0.0697575i
$820$	7.88854	−	13.6634i	0.275480	−	0.477145i
$821$	16.6057	+	28.7619i	0.579543	+	1.00380i	0.995532	+	0.0944287i	$0.0301025\pi$
$821$	16.6057	+	28.7619i	0.579543	+	1.00380i	−0.415988	+	0.909370i	$0.636564\pi$
$822$	0.598316	−	1.03631i	0.0208687	−	0.0361456i
$823$	23.5599	+	40.8070i	0.821247	+	1.42244i	0.904754	+	0.425935i	$0.140055\pi$
$823$	23.5599	+	40.8070i	0.821247	+	1.42244i	−0.0835065	+	0.996507i	$0.526612\pi$
$824$	11.5236			0.401445
$825$	11.3583			0.395444
$826$	−7.10054	−	12.2985i	−0.247059	−	0.427920i
$827$	−8.06421	−	13.9676i	−0.280420	−	0.485702i	0.691068	−	0.722790i	$-0.257140\pi$
$827$	−8.06421	−	13.9676i	−0.280420	−	0.485702i	−0.971488	+	0.237088i	$0.923807\pi$
$828$	5.10316			0.177347
$829$	46.9266			1.62983			0.814914	−	0.579582i	$-0.196784\pi$
$829$	46.9266			1.62983			0.814914	+	0.579582i	$0.196784\pi$
$830$	33.6412	+	58.2683i	1.16770	+	2.02252i
$831$	−3.07254	+	5.32179i	−0.106585	+	0.184611i
$832$	0.400772	+	0.694158i	0.0138943	+	0.0240656i
$833$	−3.11409	+	5.39376i	−0.107897	+	0.186883i
$834$	−0.915311	+	1.58537i	−0.0316946	+	0.0548967i
$835$	−26.2082			−0.906971
$836$	−9.06468	−	4.79187i	−0.313508	−	0.165730i
$837$	10.6119			0.366799
$838$	−9.96027	+	17.2517i	−0.344072	+	0.595950i
$839$	4.09700	−	7.09622i	0.141444	−	0.244989i	−0.786596	−	0.617467i	$-0.788159\pi$
$839$	4.09700	−	7.09622i	0.141444	−	0.244989i	0.928041	+	0.372479i	$0.121492\pi$
$840$	0.761817	+	1.31951i	0.0262852	+	0.0455273i
$841$	−2.50182	+	4.33328i	−0.0862698	+	0.149424i
$842$	7.21372	+	12.4945i	0.248601	+	0.430590i
$843$	0.748257			0.0257713
$844$	−4.00000			−0.137686
$845$	26.7243	+	46.2878i	0.919342	+	1.59235i
$846$	8.38508	+	14.5234i	0.288285	+	0.499324i
$847$	−5.46682			−0.187842
$848$	1.12672			0.0386918
$849$	4.87360	+	8.44132i	0.167261	+	0.289705i
$850$	42.6853	−	73.9332i	1.46409	−	2.53589i
$851$	9.44927	+	16.3666i	0.323917	+	0.561041i
$852$	−2.46636	+	4.27186i	−0.0844961	+	0.146351i
$853$	8.38953	−	14.5311i	0.287252	−	0.497535i	−0.685901	−	0.727695i	$-0.740592\pi$
$853$	8.38953	−	14.5311i	0.287252	−	0.497535i	0.973153	+	0.230160i	$0.0739249\pi$
$854$	2.72209			0.0931480
$855$	−45.9116	+	28.8423i	−1.57014	+	0.986387i
$856$	−16.0053			−0.547048
$857$	4.73950	−	8.20905i	0.161898	−	0.280416i	−0.773651	−	0.633612i	$-0.781572\pi$
$857$	4.73950	−	8.20905i	0.161898	−	0.280416i	0.935549	+	0.353196i	$0.114905\pi$
$858$	−0.332094	+	0.575204i	−0.0113375	+	0.0196372i
$859$	2.79677	+	4.84415i	0.0954246	+	0.165280i	0.909786	−	0.415078i	$-0.136246\pi$
$859$	2.79677	+	4.84415i	0.0954246	+	0.165280i	−0.814361	+	0.580358i	$0.802912\pi$
$860$	−1.88854	+	3.27105i	−0.0643987	+	0.111542i
$861$	0.642494	+	1.11283i	0.0218961	+	0.0379252i
$862$	14.6504			0.498993
$863$	−46.1241			−1.57008			−0.785042	−	0.619443i	$-0.787359\pi$
$863$	−46.1241			−1.57008			−0.785042	+	0.619443i	$0.787359\pi$
$864$	−1.03496	−	1.79259i	−0.0352099	−	0.0609853i
$865$	−33.7924	−	58.5301i	−1.14898	−	1.99008i
$866$	18.0043			0.611812
$867$	7.67604			0.260692
$868$	2.56336	+	4.43987i	0.0870062	+	0.150699i
$869$	8.28854	−	14.3562i	0.281170	−	0.487000i
$870$	4.44236	+	7.69439i	0.150610	+	0.260864i
$871$	1.83572	−	3.17955i	0.0622008	−	0.107735i
$872$	−3.62017	+	6.27033i	−0.122595	+	0.212340i
$873$	−8.79110			−0.297534
$874$	6.54949	−	4.11449i	0.221540	−	0.139175i
$875$	37.6601			1.27314
$876$	1.62587	−	2.81609i	0.0549331	−	0.0951469i
$877$	−8.39908	+	14.5476i	−0.283617	+	0.491238i	−0.972273	−	0.233850i	$-0.924868\pi$
$877$	−8.39908	+	14.5476i	−0.283617	+	0.491238i	0.688656	+	0.725088i	$0.258201\pi$
$878$	−10.8168	−	18.7353i	−0.365050	−	0.632284i
$879$	2.33073	−	4.03695i	0.0786137	−	0.136163i
$880$	−5.08700	−	8.81094i	−0.171483	−	0.297017i
$881$	−29.9153			−1.00787			−0.503937	−	0.863741i	$-0.668115\pi$
$881$	−29.9153			−1.00787			−0.503937	+	0.863741i	$0.668115\pi$
$882$	2.87591			0.0968368
$883$	13.4642	+	23.3207i	0.453107	+	0.784804i	0.998577	−	0.0533260i	$-0.0169822\pi$
$883$	13.4642	+	23.3207i	0.453107	+	0.784804i	−0.545470	+	0.838130i	$0.683649\pi$
$884$	2.49608	+	4.32334i	0.0839522	+	0.145410i
$885$	−21.6373			−0.727329
$886$	3.45465			0.116061
$887$	−12.3454	−	21.3828i	−0.414516	−	0.717964i	0.580861	−	0.814003i	$-0.302716\pi$
$887$	−12.3454	−	21.3828i	−0.414516	−	0.717964i	−0.995378	+	0.0960391i	$0.969383\pi$
$888$	1.87591	−	3.24916i	0.0629513	−	0.109035i
$889$	3.11540	+	5.39603i	0.104487	+	0.180977i
$890$	15.7771	−	27.3267i	0.528849	−	0.915993i
$891$	−9.28976	+	16.0903i	−0.311219	+	0.539047i
$892$	−12.2534			−0.410276
$893$	22.4713	+	11.8790i	0.751972	+	0.397516i
$894$	−5.16089			−0.172606
$895$	−24.6525	+	42.6994i	−0.824043	+	1.42728i
$896$	0.500000	−	0.866025i	0.0167038	−	0.0289319i
$897$	−0.250518	−	0.433909i	−0.00836454	−	0.0144878i
$898$	−9.75345	+	16.8935i	−0.325477	+	0.563742i
$899$	14.9476	+	25.8901i	0.498532	+	0.863482i
$900$	−39.4205			−1.31402
$901$	7.01743			0.233784
$902$	−4.29022	−	7.43089i	−0.142849	−	0.247421i
$903$	−0.153815	−	0.266415i	−0.00511864	−	0.00886575i
$904$	−1.47637			−0.0491032
$905$	14.1775			0.471278
$906$	0.962901	+	1.66779i	0.0319902	+	0.0554087i
$907$	18.0691	−	31.2966i	0.599975	−	1.03919i	−0.392848	−	0.919603i	$-0.628510\pi$
$907$	18.0691	−	31.2966i	0.599975	−	1.03919i	0.992824	−	0.119585i	$-0.0381563\pi$
$908$	11.6765	+	20.2244i	0.387500	+	0.671169i
$909$	2.19091	−	3.79477i	0.0726680	−	0.125865i
$910$	−1.73341	+	3.00236i	−0.0574620	+	0.0995271i
$911$	−41.0210			−1.35909			−0.679543	−	0.733636i	$-0.737822\pi$
$911$	−41.0210			−1.35909			−0.679543	+	0.733636i	$0.737822\pi$
$912$	−1.35751	−	0.717620i	−0.0449515	−	0.0237628i
$913$	36.5919			1.21101
$914$	−6.64381	+	11.5074i	−0.219758	+	0.380631i
$915$	2.07374	−	3.59181i	0.0685556	−	0.118742i
$916$	12.9415	+	22.4153i	0.427599	+	0.740623i
$917$	1.83264	−	3.17422i	0.0605191	−	0.104822i
$918$	−6.44588	−	11.1646i	−0.212746	−	0.368487i
$919$	−19.4521			−0.641664			−0.320832	−	0.947136i	$-0.603963\pi$
$919$	−19.4521			−0.641664			−0.320832	+	0.947136i	$0.603963\pi$
$920$	7.67482			0.253031
$921$	−4.39278	−	7.60852i	−0.144747	−	0.250709i
$922$	8.09577	+	14.0223i	0.266620	+	0.461799i
$923$	−11.2237			−0.369433
$924$	0.828636			0.0272601
$925$	−72.9931	−	126.428i	−2.40000	−	4.15692i
$926$	10.7505	−	18.6204i	0.353283	−	0.611905i
$927$	−16.5704	−	28.7008i	−0.544245	−	0.942659i
$928$	2.91563	−	5.05002i	0.0957103	−	0.165775i
$929$	−4.43004	+	7.67306i	−0.145345	+	0.251745i	−0.929502	−	0.368818i	$-0.879763\pi$
$929$	−4.43004	+	7.67306i	−0.145345	+	0.251745i	0.784157	+	0.620563i	$0.213096\pi$
$930$	7.81125			0.256141
$931$	3.69100	−	2.31874i	0.120967	−	0.0759936i
$932$	−2.60309			−0.0852670
$933$	−2.80862	+	4.86468i	−0.0919502	+	0.159262i
$934$	−3.97768	+	6.88954i	−0.130154	+	0.225433i
$935$	−31.6827	−	54.8761i	−1.03614	−	1.79464i
$936$	1.15258	−	1.99633i	0.0376733	−	0.0652521i
$937$	17.8707	+	30.9529i	0.583809	+	1.01119i	0.995023	+	0.0996483i	$0.0317718\pi$
$937$	17.8707	+	30.9529i	0.583809	+	1.01119i	−0.411213	+	0.911539i	$0.634895\pi$
$938$	−4.58045			−0.149557
$939$	−4.48098			−0.146231
$940$	12.6106	+	21.8423i	0.411313	+	0.712416i
$941$	−20.3064	−	35.1717i	−0.661970	−	1.14657i	−0.980097	−	0.198517i	$-0.936387\pi$
$941$	−20.3064	−	35.1717i	−0.661970	−	1.14657i	0.318128	−	0.948048i	$-0.396946\pi$
$942$	1.21600			0.0396196
$943$	6.47272			0.210781
$944$	7.10054	+	12.2985i	0.231103	+	0.400282i
$945$	4.47637	−	7.75329i	0.145616	−	0.252215i
$946$	1.02709	+	1.77898i	0.0333937	+	0.0578395i
$947$	20.6922	−	35.8400i	0.672408	−	1.16464i	−0.304812	−	0.952413i	$-0.598594\pi$
$947$	20.6922	−	35.8400i	0.672408	−	1.16464i	0.977219	−	0.212232i	$-0.0680732\pi$
$948$	1.24127	−	2.14995i	0.0403147	−	0.0698271i
$949$	7.39890			0.240178
$950$	−50.5931	+	31.7834i	−1.64146	+	1.03119i
$951$	−11.5929			−0.375926
$952$	3.11409	−	5.39376i	0.100928	−	0.174813i
$953$	2.72550	−	4.72071i	0.0882877	−	0.152919i	−0.818500	−	0.574507i	$-0.805194\pi$
$953$	2.72550	−	4.72071i	0.0882877	−	0.152919i	0.906787	+	0.421588i	$0.138527\pi$
$954$	−1.62017	−	2.80622i	−0.0524551	−	0.0908548i
$955$	7.00386	−	12.1310i	0.226640	−	0.392551i
$956$	11.6390	+	20.1594i	0.376433	+	0.652002i
$957$	4.83200			0.156196
$958$	26.6356			0.860557
$959$	−1.69846	−	2.94181i	−0.0548460	−	0.0949961i
$960$	−0.761817	−	1.31951i	−0.0245875	−	0.0425869i
$961$	−4.71671			−0.152152
$962$	8.53673			0.275235
$963$	23.0148	+	39.8628i	0.741642	+	1.28456i
$964$	4.47159	−	7.74503i	0.144020	−	0.249451i
$965$	−26.0739	−	45.1614i	−0.839350	−	1.45380i
$966$	−0.312544	+	0.541342i	−0.0100559	+	0.0174174i
$967$	−0.812865	+	1.40792i	−0.0261400	+	0.0452758i	−0.878799	−	0.477191i	$-0.841655\pi$
$967$	−0.812865	+	1.40792i	−0.0261400	+	0.0452758i	0.852659	+	0.522467i	$0.174988\pi$
$968$	5.46682			0.175710
$969$	−8.45478	−	4.46947i	−0.271607	−	0.143580i
$970$	−13.2213			−0.424509
$971$	−17.5817	+	30.4524i	−0.564224	+	0.977264i	0.432898	+	0.901443i	$0.357491\pi$
$971$	−17.5817	+	30.4524i	−0.564224	+	0.977264i	−0.997121	+	0.0758210i	$0.975842\pi$
$972$	−4.49608	+	7.78744i	−0.144212	+	0.249782i
$973$	2.59832	+	4.50042i	0.0832982	+	0.144277i
$974$	2.67482	−	4.63293i	0.0857068	−	0.148449i
$975$	1.93518	+	3.35183i	0.0619754	+	0.107345i
$976$	−2.72209			−0.0871320
$977$	−37.2289			−1.19106			−0.595528	−	0.803334i	$-0.703057\pi$
$977$	−37.2289			−1.19106			−0.595528	+	0.803334i	$0.703057\pi$
$978$	1.52532	+	2.64192i	0.0487742	+	0.0844794i
$979$	−8.58045	−	14.8618i	−0.274232	−	0.474984i
$980$	4.32518			0.138163
$981$	20.8226			0.664813
$982$	0.228176	+	0.395213i	0.00728139	+	0.0126117i
$983$	0.647729	−	1.12190i	0.0206594	−	0.0357830i	−0.855511	−	0.517785i	$-0.826757\pi$
$983$	0.647729	−	1.12190i	0.0206594	−	0.0357830i	0.876170	+	0.482002i	$0.160090\pi$
$984$	−0.642494	−	1.11283i	−0.0204820	−	0.0354758i
$985$	45.2802	−	78.4277i	1.44275	−	2.49891i
$986$	18.1591	−	31.4524i	0.578303	−	1.00165i
$987$	−2.05418			−0.0653854
$988$	−0.130323	−	3.49142i	−0.00414611	−	0.111077i
$989$	−1.54959			−0.0492740
$990$	−14.6297	+	25.3394i	−0.464963	+	0.805339i
$991$	−6.89214	+	11.9375i	−0.218936	+	0.379208i	−0.954483	−	0.298265i	$-0.903592\pi$
$991$	−6.89214	+	11.9375i	−0.218936	+	0.379208i	0.735547	+	0.677474i	$0.236925\pi$
$992$	−2.56336	−	4.43987i	−0.0813868	−	0.140966i
$993$	3.34796	−	5.79884i	0.106244	−	0.184021i
$994$	7.00131	+	12.1266i	0.222068	+	0.384633i
$995$	39.4747			1.25143
$996$	5.47992			0.173638
$997$	0.428790	+	0.742686i	0.0135799	+	0.0235211i	0.872736	−	0.488193i	$-0.162344\pi$
$997$	0.428790	+	0.742686i	0.0135799	+	0.0235211i	−0.859156	+	0.511714i	$0.829011\pi$
$998$	−2.99523	−	5.18789i	−0.0948123	−	0.164220i
$999$	−22.0453			−0.697482

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	266.2.f.d.239.2	yes	8
3.2	odd	2		2394.2.o.v.505.4		8
19.7	even	3	inner	266.2.f.d.197.2	✓	8
19.8	odd	6		5054.2.a.x.1.2		4
19.11	even	3		5054.2.a.w.1.3		4
57.26	odd	6		2394.2.o.v.1261.4		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
266.2.f.d.197.2	✓	8	19.7	even	3	inner
266.2.f.d.239.2	yes	8	1.1	even	1	trivial
2394.2.o.v.505.4		8	3.2	odd	2
2394.2.o.v.1261.4		8	57.26	odd	6
5054.2.a.w.1.3		4	19.11	even	3
5054.2.a.x.1.2		4	19.8	odd	6

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:	\( N \)	\(=\)	\( 266 = 2 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	266.f (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.176135 + 0.305076i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.16259 + 3.74571i) q^{5} +(0.176135 + 0.305076i) q^{6} +1.00000 q^{7} -1.00000 q^{8} +(1.43795 + 2.49061i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.176135 + 0.305076i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.16259 + 3.74571i) q^{5} +(0.176135 + 0.305076i) q^{6} +1.00000 q^{7} -1.00000 q^{8} +(1.43795 + 2.49061i) q^{9} +(2.16259 + 3.74571i) q^{10} +2.35227 q^{11} +0.352271 q^{12} +(0.400772 + 0.694158i) q^{13} +(0.500000 - 0.866025i) q^{14} +(-0.761817 - 1.31951i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.11409 + 5.39376i) q^{17} +2.87591 q^{18} +(3.69100 - 2.31874i) q^{19} +4.32518 q^{20} +(-0.176135 + 0.305076i) q^{21} +(1.17614 - 2.03713i) q^{22} +(0.887226 + 1.53672i) q^{23} +(0.176135 - 0.305076i) q^{24} +(-6.85358 - 11.8708i) q^{25} +0.801544 q^{26} -2.06991 q^{27} +(-0.500000 - 0.866025i) q^{28} +(-2.91563 - 5.05002i) q^{29} -1.52363 q^{30} -5.12672 q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.414318 + 0.717620i) q^{33} +(3.11409 + 5.39376i) q^{34} +(-2.16259 + 3.74571i) q^{35} +(1.43795 - 2.49061i) q^{36} +10.6504 q^{37} +(-0.162589 - 4.35587i) q^{38} -0.282361 q^{39} +(2.16259 - 3.74571i) q^{40} +(1.82386 - 3.15903i) q^{41} +(0.176135 + 0.305076i) q^{42} +(-0.436639 + 0.756280i) q^{43} +(-1.17614 - 2.03713i) q^{44} -12.4388 q^{45} +1.77445 q^{46} +(2.91563 + 5.05002i) q^{47} +(-0.176135 - 0.305076i) q^{48} +1.00000 q^{49} -13.7072 q^{50} +(-1.09700 - 1.90006i) q^{51} +(0.400772 - 0.694158i) q^{52} +(-0.563361 - 0.975771i) q^{53} +(-1.03496 + 1.79259i) q^{54} +(-5.08700 + 8.81094i) q^{55} -1.00000 q^{56} +(0.0572755 + 1.53444i) q^{57} -5.83126 q^{58} +(7.10054 - 12.2985i) q^{59} +(-0.761817 + 1.31951i) q^{60} +(1.36105 + 2.35740i) q^{61} +(-2.56336 + 4.43987i) q^{62} +(1.43795 + 2.49061i) q^{63} +1.00000 q^{64} -3.46682 q^{65} +(0.414318 + 0.717620i) q^{66} +(-2.29022 - 3.96678i) q^{67} +6.22818 q^{68} -0.625088 q^{69} +(2.16259 + 3.74571i) q^{70} +(-7.00131 + 12.1266i) q^{71} +(-1.43795 - 2.49061i) q^{72} +(4.61540 - 7.99411i) q^{73} +(5.32518 - 9.22348i) q^{74} +4.82864 q^{75} +(-3.85358 - 2.03713i) q^{76} +2.35227 q^{77} +(-0.141180 + 0.244532i) q^{78} +(3.52363 - 6.10311i) q^{79} +(-2.16259 - 3.74571i) q^{80} +(-3.94927 + 6.84034i) q^{81} +(-1.82386 - 3.15903i) q^{82} +15.5560 q^{83} +0.352271 q^{84} +(-13.4690 - 23.3290i) q^{85} +(0.436639 + 0.756280i) q^{86} +2.05418 q^{87} -2.35227 q^{88} +(-3.64773 - 6.31805i) q^{89} +(-6.21940 + 10.7723i) q^{90} +(0.400772 + 0.694158i) q^{91} +(0.887226 - 1.53672i) q^{92} +(0.902998 - 1.56404i) q^{93} +5.83126 q^{94} +(0.703228 + 18.8399i) q^{95} -0.352271 q^{96} +(-1.52841 + 2.64728i) q^{97} +(0.500000 - 0.866025i) q^{98} +(3.38245 + 5.85858i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{2} + q^{3} - 4 q^{4} - q^{5} - q^{6} + 8 q^{7} - 8 q^{8} - 9 q^{9}+O(q^{10}) \) 8 * q + 4 * q^2 + q^3 - 4 * q^4 - q^5 - q^6 + 8 * q^7 - 8 * q^8 - 9 * q^9	\( 8 q + 4 q^{2} + q^{3} - 4 q^{4} - q^{5} - q^{6} + 8 q^{7} - 8 q^{8} - 9 q^{9} + q^{10} + 14 q^{11} - 2 q^{12} + 5 q^{13} + 4 q^{14} + 12 q^{15} - 4 q^{16} - 2 q^{17} - 18 q^{18} + 6 q^{19} + 2 q^{20} + q^{21} + 7 q^{22} - 5 q^{23} - q^{24} - 15 q^{25} + 10 q^{26} - 2 q^{27} - 4 q^{28} - 4 q^{29} + 24 q^{30} - 12 q^{31} + 4 q^{32} - 19 q^{33} + 2 q^{34} - q^{35} - 9 q^{36} + 20 q^{37} + 15 q^{38} - 12 q^{39} + q^{40} + 17 q^{41} - q^{42} - 18 q^{43} - 7 q^{44} - 38 q^{45} - 10 q^{46} + 4 q^{47} + q^{48} + 8 q^{49} - 30 q^{50} - 22 q^{51} + 5 q^{52} + 10 q^{53} - q^{54} + 10 q^{55} - 8 q^{56} - 8 q^{57} - 8 q^{58} + 20 q^{59} + 12 q^{60} - 9 q^{61} - 6 q^{62} - 9 q^{63} + 8 q^{64} - 6 q^{65} + 19 q^{66} + 7 q^{67} + 4 q^{68} + 48 q^{69} + q^{70} - 21 q^{71} + 9 q^{72} - 21 q^{73} + 10 q^{74} + 70 q^{75} + 9 q^{76} + 14 q^{77} - 6 q^{78} - 8 q^{79} - q^{80} - 40 q^{81} - 17 q^{82} - 24 q^{83} - 2 q^{84} - 10 q^{85} + 18 q^{86} + 72 q^{87} - 14 q^{88} - 34 q^{89} - 19 q^{90} + 5 q^{91} - 5 q^{92} - 6 q^{93} + 8 q^{94} + 31 q^{95} + 2 q^{96} - 5 q^{97} + 4 q^{98} - 14 q^{99}+O(q^{100}) \) 8 * q + 4 * q^2 + q^3 - 4 * q^4 - q^5 - q^6 + 8 * q^7 - 8 * q^8 - 9 * q^9 + q^10 + 14 * q^11 - 2 * q^12 + 5 * q^13 + 4 * q^14 + 12 * q^15 - 4 * q^16 - 2 * q^17 - 18 * q^18 + 6 * q^19 + 2 * q^20 + q^21 + 7 * q^22 - 5 * q^23 - q^24 - 15 * q^25 + 10 * q^26 - 2 * q^27 - 4 * q^28 - 4 * q^29 + 24 * q^30 - 12 * q^31 + 4 * q^32 - 19 * q^33 + 2 * q^34 - q^35 - 9 * q^36 + 20 * q^37 + 15 * q^38 - 12 * q^39 + q^40 + 17 * q^41 - q^42 - 18 * q^43 - 7 * q^44 - 38 * q^45 - 10 * q^46 + 4 * q^47 + q^48 + 8 * q^49 - 30 * q^50 - 22 * q^51 + 5 * q^52 + 10 * q^53 - q^54 + 10 * q^55 - 8 * q^56 - 8 * q^57 - 8 * q^58 + 20 * q^59 + 12 * q^60 - 9 * q^61 - 6 * q^62 - 9 * q^63 + 8 * q^64 - 6 * q^65 + 19 * q^66 + 7 * q^67 + 4 * q^68 + 48 * q^69 + q^70 - 21 * q^71 + 9 * q^72 - 21 * q^73 + 10 * q^74 + 70 * q^75 + 9 * q^76 + 14 * q^77 - 6 * q^78 - 8 * q^79 - q^80 - 40 * q^81 - 17 * q^82 - 24 * q^83 - 2 * q^84 - 10 * q^85 + 18 * q^86 + 72 * q^87 - 14 * q^88 - 34 * q^89 - 19 * q^90 + 5 * q^91 - 5 * q^92 - 6 * q^93 + 8 * q^94 + 31 * q^95 + 2 * q^96 - 5 * q^97 + 4 * q^98 - 14 * q^99

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