LMFDB - Embedded newform 966.2.q.h.85.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			85.2
Character	$\chi$	$=$	966.85
Dual form			966.2.q.h.841.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.702155 + 1.53751i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.702155 + 1.53751i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +(1.62178 + 0.476199i) q^{10} +(-1.30111 - 1.50157i) q^{11} +(0.654861 + 0.755750i) q^{12} +(-6.62733 - 1.94596i) q^{13} +(-0.415415 + 0.909632i) q^{14} +(-1.42193 - 0.913818i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.346838 - 2.41231i) q^{17} +(-0.415415 - 0.909632i) q^{18} +(-0.435815 - 3.03116i) q^{19} +(1.42193 - 0.913818i) q^{20} +(0.654861 - 0.755750i) q^{21} -1.98686 q^{22} +(2.67155 - 3.98282i) q^{23} +1.00000 q^{24} +(1.40340 - 1.61961i) q^{25} +(-5.81064 + 3.73427i) q^{26} +(0.142315 + 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(1.18085 - 8.21299i) q^{29} +(-1.62178 + 0.476199i) q^{30} +(6.32605 + 4.06550i) q^{31} +(-0.415415 + 0.909632i) q^{32} +(1.90637 + 0.559762i) q^{33} +(-1.59597 - 1.84185i) q^{34} +(-1.10688 - 1.27741i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(1.01327 - 2.21876i) q^{37} +(-2.57619 - 1.65562i) q^{38} +(6.62733 - 1.94596i) q^{39} +(0.240548 - 1.67305i) q^{40} +(-0.350139 - 0.766698i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(0.566256 - 0.363911i) q^{43} +(-1.30111 + 1.50157i) q^{44} +1.69025 q^{45} +(-1.26052 - 4.62721i) q^{46} -11.4759 q^{47} +(0.654861 - 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(-0.304988 - 2.12124i) q^{50} +(1.01242 + 2.21688i) q^{51} +(-0.982985 + 6.83681i) q^{52} +(-9.12888 + 2.68048i) q^{53} +(0.841254 + 0.540641i) q^{54} +(1.39508 - 3.05480i) q^{55} +(0.959493 + 0.281733i) q^{56} +(2.00540 + 2.31435i) q^{57} +(-5.43367 - 6.27079i) q^{58} +(2.40899 + 0.707345i) q^{59} +(-0.702155 + 1.53751i) q^{60} +(-4.82116 - 3.09837i) q^{61} +(7.21518 - 2.11857i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-1.66149 - 11.5559i) q^{65} +(1.67145 - 1.07418i) q^{66} +(-2.44330 + 2.81972i) q^{67} -2.43712 q^{68} +(-0.0941729 + 4.79491i) q^{69} -1.69025 q^{70} +(-0.623019 + 0.719002i) q^{71} +(-0.841254 + 0.540641i) q^{72} +(-1.94184 - 13.5058i) q^{73} +(-1.01327 - 2.21876i) q^{74} +(-0.304988 + 2.12124i) q^{75} +(-2.93828 + 0.862758i) q^{76} +(1.67145 + 1.07418i) q^{77} +(2.86932 - 6.28293i) q^{78} +(-1.81065 - 0.531655i) q^{79} +(-1.10688 - 1.27741i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-0.808724 - 0.237463i) q^{82} +(-6.72219 + 14.7196i) q^{83} +(-0.841254 - 0.540641i) q^{84} +(3.95248 - 1.16055i) q^{85} +(0.0957936 - 0.666259i) q^{86} +(3.44688 + 7.54762i) q^{87} +(0.282759 + 1.96663i) q^{88} +(-3.41199 + 2.19275i) q^{89} +(1.10688 - 1.27741i) q^{90} +6.90712 q^{91} +(-4.32248 - 2.07754i) q^{92} -7.51979 q^{93} +(-7.51513 + 8.67292i) q^{94} +(4.35441 - 2.79841i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(3.62228 + 7.93168i) q^{97} +(0.142315 - 0.989821i) q^{98} +(-1.90637 + 0.559762i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9} + 12 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} + 3 q^{14} + q^{15} - 3 q^{16} + 13 q^{17} + 3 q^{18} - 18 q^{19} - q^{20} + 3 q^{21} + 24 q^{22} + 21 q^{23} + 30 q^{24} - 3 q^{25} + 34 q^{26} + 3 q^{27} - 3 q^{28} - 11 q^{29} - 12 q^{30} + 7 q^{31} + 3 q^{32} + 2 q^{33} - 13 q^{34} - q^{35} - 3 q^{36} + 3 q^{37} - 15 q^{38} + 12 q^{39} + q^{40} + 15 q^{41} - 3 q^{42} + 42 q^{43} + 9 q^{44} + 10 q^{45} + q^{46} + 12 q^{47} + 3 q^{48} - 3 q^{49} - 30 q^{50} + 9 q^{51} - q^{52} - 28 q^{53} - 3 q^{54} + 4 q^{55} + 3 q^{56} - 4 q^{57} - 11 q^{58} + 3 q^{59} - 10 q^{60} - 2 q^{61} + 26 q^{62} - 3 q^{63} - 3 q^{64} - 70 q^{65} - 2 q^{66} + 24 q^{67} + 2 q^{68} + q^{69} - 10 q^{70} - 3 q^{71} + 3 q^{72} - 7 q^{73} - 3 q^{74} - 30 q^{75} - 18 q^{76} - 2 q^{77} + 10 q^{78} - 32 q^{79} - q^{80} - 3 q^{81} - 26 q^{82} + 8 q^{83} + 3 q^{84} - 39 q^{85} + 35 q^{86} - 11 q^{87} + 13 q^{88} + 50 q^{89} + q^{90} + 32 q^{91} - 12 q^{92} + 4 q^{93} + 10 q^{94} + 73 q^{95} - 3 q^{96} + 24 q^{97} + 3 q^{98} - 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9 + 12 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 + 3 * q^14 + q^15 - 3 * q^16 + 13 * q^17 + 3 * q^18 - 18 * q^19 - q^20 + 3 * q^21 + 24 * q^22 + 21 * q^23 + 30 * q^24 - 3 * q^25 + 34 * q^26 + 3 * q^27 - 3 * q^28 - 11 * q^29 - 12 * q^30 + 7 * q^31 + 3 * q^32 + 2 * q^33 - 13 * q^34 - q^35 - 3 * q^36 + 3 * q^37 - 15 * q^38 + 12 * q^39 + q^40 + 15 * q^41 - 3 * q^42 + 42 * q^43 + 9 * q^44 + 10 * q^45 + q^46 + 12 * q^47 + 3 * q^48 - 3 * q^49 - 30 * q^50 + 9 * q^51 - q^52 - 28 * q^53 - 3 * q^54 + 4 * q^55 + 3 * q^56 - 4 * q^57 - 11 * q^58 + 3 * q^59 - 10 * q^60 - 2 * q^61 + 26 * q^62 - 3 * q^63 - 3 * q^64 - 70 * q^65 - 2 * q^66 + 24 * q^67 + 2 * q^68 + q^69 - 10 * q^70 - 3 * q^71 + 3 * q^72 - 7 * q^73 - 3 * q^74 - 30 * q^75 - 18 * q^76 - 2 * q^77 + 10 * q^78 - 32 * q^79 - q^80 - 3 * q^81 - 26 * q^82 + 8 * q^83 + 3 * q^84 - 39 * q^85 + 35 * q^86 - 11 * q^87 + 13 * q^88 + 50 * q^89 + q^90 + 32 * q^91 - 12 * q^92 + 4 * q^93 + 10 * q^94 + 73 * q^95 - 3 * q^96 + 24 * q^97 + 3 * q^98 - 2 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{4}{11}\right)$

Coefficient data

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

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

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

$2$	0.654861	−	0.755750i	0.463056	−	0.534396i
$2$	0.654861	−	0.755750i	0.463056	−	0.534396i
$3$	−0.841254	+	0.540641i	−0.485698	+	0.312139i
$3$	−0.841254	+	0.540641i	−0.485698	+	0.312139i
$4$	−0.142315	−	0.989821i	−0.0711574	−	0.494911i
$5$	0.702155	+	1.53751i	0.314013	+	0.687594i	0.999167	−	0.0408050i	$-0.0129922\pi$
$5$	0.702155	+	1.53751i	0.314013	+	0.687594i	−0.685154	+	0.728399i	$0.740265\pi$
$6$	−0.142315	+	0.989821i	−0.0580998	+	0.404093i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$8$	−0.841254	−	0.540641i	−0.297428	−	0.191145i
$9$	0.415415	−	0.909632i	0.138472	−	0.303211i
$10$	1.62178	+	0.476199i	0.512853	+	0.150587i
$11$	−1.30111	−	1.50157i	−0.392301	−	0.452739i	0.524900	−	0.851164i	$-0.324103\pi$
$11$	−1.30111	−	1.50157i	−0.392301	−	0.452739i	−0.917201	+	0.398424i	$0.869557\pi$
$12$	0.654861	+	0.755750i	0.189042	+	0.218166i
$13$	−6.62733	−	1.94596i	−1.83809	−	0.539712i	−0.838107	−	0.545506i	$-0.816338\pi$
$13$	−6.62733	−	1.94596i	−1.83809	−	0.539712i	−0.999983	+	0.00579355i	$0.998156\pi$
$14$	−0.415415	+	0.909632i	−0.111024	+	0.243109i
$15$	−1.42193	−	0.913818i	−0.367141	−	0.235947i
$16$	−0.959493	+	0.281733i	−0.239873	+	0.0704331i
$17$	0.346838	−	2.41231i	0.0841206	−	0.585072i	−0.903545	−	0.428493i	$-0.859045\pi$
$17$	0.346838	−	2.41231i	0.0841206	−	0.585072i	0.987666	−	0.156578i	$-0.0500463\pi$
$18$	−0.415415	−	0.909632i	−0.0979143	−	0.214402i
$19$	−0.435815	−	3.03116i	−0.0999828	−	0.695395i	−0.976734	−	0.214452i	$-0.931203\pi$
$19$	−0.435815	−	3.03116i	−0.0999828	−	0.695395i	0.876752	−	0.480943i	$-0.159706\pi$
$20$	1.42193	−	0.913818i	0.317953	−	0.204336i
$21$	0.654861	−	0.755750i	0.142902	−	0.164918i
$22$	−1.98686			−0.423599
$23$	2.67155	−	3.98282i	0.557056	−	0.830475i
$23$	2.67155	−	3.98282i	0.557056	−	0.830475i
$24$	1.00000			0.204124
$25$	1.40340	−	1.61961i	0.280680	−	0.323922i
$26$	−5.81064	+	3.73427i	−1.13956	+	0.732350i
$27$	0.142315	+	0.989821i	0.0273885	+	0.190491i
$28$	0.415415	+	0.909632i	0.0785061	+	0.171904i
$29$	1.18085	−	8.21299i	0.219278	−	1.52511i	−0.521435	−	0.853291i	$-0.674603\pi$
$29$	1.18085	−	8.21299i	0.219278	−	1.52511i	0.740713	−	0.671822i	$-0.234488\pi$
$30$	−1.62178	+	0.476199i	−0.296096	+	0.0869416i
$31$	6.32605	+	4.06550i	1.13619	+	0.730186i	0.966843	−	0.255370i	$-0.0821973\pi$
$31$	6.32605	+	4.06550i	1.13619	+	0.730186i	0.169348	+	0.985556i	$0.445834\pi$
$32$	−0.415415	+	0.909632i	−0.0734357	+	0.160802i
$33$	1.90637	+	0.559762i	0.331857	+	0.0974421i
$34$	−1.59597	−	1.84185i	−0.273707	−	0.315875i
$35$	−1.10688	−	1.27741i	−0.187097	−	0.215921i
$36$	−0.959493	−	0.281733i	−0.159915	−	0.0469554i
$37$	1.01327	−	2.21876i	0.166581	−	0.364762i	−0.807870	−	0.589360i	$-0.799380\pi$
$37$	1.01327	−	2.21876i	0.166581	−	0.364762i	0.974451	+	0.224598i	$0.0721070\pi$
$38$	−2.57619	−	1.65562i	−0.417914	−	0.268577i
$39$	6.62733	−	1.94596i	1.06122	−	0.311603i
$40$	0.240548	−	1.67305i	0.0380339	−	0.264532i
$41$	−0.350139	−	0.766698i	−0.0546826	−	0.119738i	0.880318	−	0.474383i	$-0.157329\pi$
$41$	−0.350139	−	0.766698i	−0.0546826	−	0.119738i	−0.935001	+	0.354645i	$0.884602\pi$
$42$	−0.142315	−	0.989821i	−0.0219597	−	0.152733i
$43$	0.566256	−	0.363911i	0.0863533	−	0.0554959i	−0.496752	−	0.867893i	$-0.665474\pi$
$43$	0.566256	−	0.363911i	0.0863533	−	0.0554959i	0.583105	+	0.812397i	$0.301838\pi$
$44$	−1.30111	+	1.50157i	−0.196150	+	0.226370i
$45$	1.69025			0.251968
$46$	−1.26052	−	4.62721i	−0.185854	−	0.682245i
$47$	−11.4759			−1.67393			−0.836967	−	0.547253i	$-0.815673\pi$
$47$	−11.4759			−1.67393			−0.836967	+	0.547253i	$0.815673\pi$
$48$	0.654861	−	0.755750i	0.0945210	−	0.109083i
$49$	0.841254	−	0.540641i	0.120179	−	0.0772344i
$50$	−0.304988	−	2.12124i	−0.0431319	−	0.299989i
$51$	1.01242	+	2.21688i	0.141767	+	0.310425i
$52$	−0.982985	+	6.83681i	−0.136316	+	0.948095i
$53$	−9.12888	+	2.68048i	−1.25395	+	0.368193i	−0.840239	−	0.542216i	$-0.817585\pi$
$53$	−9.12888	+	2.68048i	−1.25395	+	0.368193i	−0.413710	+	0.910409i	$0.635767\pi$
$54$	0.841254	+	0.540641i	0.114480	+	0.0735719i
$55$	1.39508	−	3.05480i	0.188113	−	0.411910i
$56$	0.959493	+	0.281733i	0.128218	+	0.0376481i
$57$	2.00540	+	2.31435i	0.265622	+	0.306544i
$58$	−5.43367	−	6.27079i	−0.713476	−	0.823395i
$59$	2.40899	+	0.707345i	0.313624	+	0.0920884i	0.434757	−	0.900548i	$-0.356834\pi$
$59$	2.40899	+	0.707345i	0.313624	+	0.0920884i	−0.121132	+	0.992636i	$0.538653\pi$
$60$	−0.702155	+	1.53751i	−0.0906479	+	0.198491i
$61$	−4.82116	−	3.09837i	−0.617286	−	0.396705i	0.194297	−	0.980943i	$-0.437757\pi$
$61$	−4.82116	−	3.09837i	−0.617286	−	0.396705i	−0.811583	+	0.584237i	$0.801394\pi$
$62$	7.21518	−	2.11857i	0.916329	−	0.269059i
$63$	−0.142315	+	0.989821i	−0.0179300	+	0.124706i
$64$	0.415415	+	0.909632i	0.0519269	+	0.113704i
$65$	−1.66149	−	11.5559i	−0.206083	−	1.43334i
$66$	1.67145	−	1.07418i	0.205741	−	0.132222i
$67$	−2.44330	+	2.81972i	−0.298497	+	0.344483i	−0.885108	−	0.465385i	$-0.845916\pi$
$67$	−2.44330	+	2.81972i	−0.298497	+	0.344483i	0.586612	+	0.809868i	$0.300461\pi$
$68$	−2.43712			−0.295544
$69$	−0.0941729	+	4.79491i	−0.0113371	+	0.577239i
$70$	−1.69025			−0.202024
$71$	−0.623019	+	0.719002i	−0.0739388	+	0.0853299i	−0.791514	−	0.611151i	$-0.790707\pi$
$71$	−0.623019	+	0.719002i	−0.0739388	+	0.0853299i	0.717575	+	0.696481i	$0.245252\pi$
$72$	−0.841254	+	0.540641i	−0.0991427	+	0.0637151i
$73$	−1.94184	−	13.5058i	−0.227275	−	1.58073i	−0.709514	−	0.704691i	$-0.751086\pi$
$73$	−1.94184	−	13.5058i	−0.227275	−	1.58073i	0.482240	−	0.876039i	$-0.339823\pi$
$74$	−1.01327	−	2.21876i	−0.117791	−	0.257926i
$75$	−0.304988	+	2.12124i	−0.0352170	+	0.244940i
$76$	−2.93828	+	0.862758i	−0.337044	+	0.0989651i
$77$	1.67145	+	1.07418i	0.190479	+	0.122414i
$78$	2.86932	−	6.28293i	0.324886	−	0.711402i
$79$	−1.81065	−	0.531655i	−0.203714	−	0.0598159i	0.178284	−	0.983979i	$-0.442946\pi$
$79$	−1.81065	−	0.531655i	−0.203714	−	0.0598159i	−0.381998	+	0.924163i	$0.624764\pi$
$80$	−1.10688	−	1.27741i	−0.123753	−	0.142818i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−0.808724	−	0.237463i	−0.0893086	−	0.0262234i
$83$	−6.72219	+	14.7196i	−0.737857	+	1.61568i	0.0491914	+	0.998789i	$0.484336\pi$
$83$	−6.72219	+	14.7196i	−0.737857	+	1.61568i	−0.787048	+	0.616892i	$0.788392\pi$
$84$	−0.841254	−	0.540641i	−0.0917883	−	0.0589887i
$85$	3.95248	−	1.16055i	0.428706	−	0.125880i
$86$	0.0957936	−	0.666259i	0.0103297	−	0.0718445i
$87$	3.44688	+	7.54762i	0.369545	+	0.809190i
$88$	0.282759	+	1.96663i	0.0301422	+	0.209644i
$89$	−3.41199	+	2.19275i	−0.361670	+	0.232432i	−0.708838	−	0.705372i	$-0.750780\pi$
$89$	−3.41199	+	2.19275i	−0.361670	+	0.232432i	0.347167	+	0.937803i	$0.387144\pi$
$90$	1.10688	−	1.27741i	0.116675	−	0.134650i
$91$	6.90712			0.724062
$92$	−4.32248	−	2.07754i	−0.450650	−	0.216598i
$93$	−7.51979			−0.779766
$94$	−7.51513	+	8.67292i	−0.775126	+	0.894543i
$95$	4.35441	−	2.79841i	0.446753	−	0.287111i
$96$	−0.142315	−	0.989821i	−0.0145249	−	0.101023i
$97$	3.62228	+	7.93168i	0.367786	+	0.805340i	0.999545	+	0.0301745i	$0.00960629\pi$
$97$	3.62228	+	7.93168i	0.367786	+	0.805340i	−0.631758	+	0.775166i	$0.717666\pi$
$98$	0.142315	−	0.989821i	0.0143760	−	0.0999871i
$99$	−1.90637	+	0.559762i	−0.191598	+	0.0562582i
$100$	−1.80285	−	1.15862i	−0.180285	−	0.115862i
$101$	−3.49090	+	7.64400i	−0.347357	+	0.760606i	0.652638	+	0.757670i	$0.273662\pi$
$101$	−3.49090	+	7.64400i	−0.347357	+	0.760606i	−0.999996	+	0.00293691i	$0.999065\pi$
$102$	2.33840	+	0.686616i	0.231536	+	0.0679851i
$103$	8.00631	+	9.23978i	0.788885	+	0.910422i	0.997717	−	0.0675292i	$-0.0215116\pi$
$103$	8.00631	+	9.23978i	0.788885	+	0.910422i	−0.208832	+	0.977952i	$0.566966\pi$
$104$	4.52320	+	5.22005i	0.443536	+	0.511868i
$105$	1.62178	+	0.476199i	0.158270	+	0.0464722i
$106$	−3.95237	+	8.65449i	−0.383889	+	0.840599i
$107$	1.25516	+	0.806639i	0.121340	+	0.0779808i	0.599903	−	0.800073i	$-0.295206\pi$
$107$	1.25516	+	0.806639i	0.121340	+	0.0779808i	−0.478563	+	0.878053i	$0.658842\pi$
$108$	0.959493	−	0.281733i	0.0923273	−	0.0271097i
$109$	0.591704	−	4.11539i	0.0566749	−	0.394183i	−0.941663	−	0.336556i	$-0.890738\pi$
$109$	0.591704	−	4.11539i	0.0566749	−	0.394183i	0.998338	−	0.0576264i	$-0.0183532\pi$
$110$	−1.39508	−	3.05480i	−0.133016	−	0.291264i
$111$	0.347132	+	2.41436i	0.0329483	+	0.229161i
$112$	0.841254	−	0.540641i	0.0794910	−	0.0510858i
$113$	4.51178	−	5.20687i	0.424432	−	0.489821i	−0.502750	−	0.864432i	$-0.667678\pi$
$113$	4.51178	−	5.20687i	0.424432	−	0.489821i	0.927182	+	0.374611i	$0.122224\pi$
$114$	3.06233			0.286813
$115$	7.99945	+	1.31096i	0.745952	+	0.122248i
$116$	−8.29744			−0.770398
$117$	−4.52320	+	5.22005i	−0.418170	+	0.482594i
$118$	2.11213	−	1.35738i	0.194437	−	0.124957i
$119$	0.346838	+	2.41231i	0.0317946	+	0.221136i
$120$	0.702155	+	1.53751i	0.0640977	+	0.140354i
$121$	1.00366	−	6.98062i	0.0912419	−	0.634602i
$122$	−5.49878	+	1.61459i	−0.497836	+	0.146178i
$123$	0.709064	+	0.455688i	0.0639342	+	0.0410880i
$124$	3.12383	−	6.84024i	0.280528	−	0.614272i
$125$	11.5845	+	3.40151i	1.03615	+	0.304240i
$126$	0.654861	+	0.755750i	0.0583396	+	0.0673275i
$127$	−3.67179	−	4.23747i	−0.325819	−	0.376015i	0.569081	−	0.822281i	$-0.307299\pi$
$127$	−3.67179	−	4.23747i	−0.325819	−	0.376015i	−0.894900	+	0.446266i	$0.852753\pi$
$128$	0.959493	+	0.281733i	0.0848080	+	0.0249019i
$129$	−0.279620	+	0.612282i	−0.0246192	+	0.0539085i
$130$	−9.82143	−	6.31185i	−0.861396	−	0.553586i
$131$	−19.8011	+	5.81412i	−1.73003	+	0.507982i	−0.986923	−	0.161192i	$-0.948466\pi$
$131$	−19.8011	+	5.81412i	−1.73003	+	0.507982i	−0.743106	+	0.669174i	$0.766648\pi$
$132$	0.282759	−	1.96663i	0.0246110	−	0.171173i
$133$	1.27214	+	2.78559i	0.110308	+	0.241541i
$134$	0.530980	+	3.69305i	0.0458697	+	0.319031i
$135$	−1.42193	+	0.913818i	−0.122380	+	0.0786490i
$136$	−1.59597	+	1.84185i	−0.136854	+	0.157937i
$137$	10.7234			0.916162			0.458081	−	0.888910i	$-0.348537\pi$
$137$	10.7234			0.916162			0.458081	+	0.888910i	$0.348537\pi$
$138$	3.56208	+	3.21117i	0.303224	+	0.273353i
$139$	21.8683			1.85485			0.927423	−	0.374013i	$-0.122019\pi$
$139$	21.8683			1.85485			0.927423	+	0.374013i	$0.122019\pi$
$140$	−1.10688	+	1.27741i	−0.0935483	+	0.107961i
$141$	9.65415	−	6.20435i	0.813026	−	0.522500i
$142$	0.135395	+	0.941693i	0.0113621	+	0.0790251i
$143$	5.70093	+	12.4833i	0.476735	+	1.04391i
$144$	−0.142315	+	0.989821i	−0.0118596	+	0.0824851i
$145$	13.4567	−	3.95123i	1.11751	−	0.328132i
$146$	−11.4786	−	7.37685i	−0.949977	−	0.610513i
$147$	−0.415415	+	0.909632i	−0.0342629	+	0.0750252i
$148$	−2.34038	−	0.687198i	−0.192378	−	0.0564873i
$149$	−10.8827	−	12.5593i	−0.891547	−	1.02890i	−0.999397	−	0.0347327i	$-0.988942\pi$
$149$	−10.8827	−	12.5593i	−0.891547	−	1.02890i	0.107850	−	0.994167i	$-0.465603\pi$
$150$	1.40340	+	1.61961i	0.114587	+	0.132241i
$151$	−3.86126	−	1.13377i	−0.314225	−	0.0922648i	0.120817	−	0.992675i	$-0.461448\pi$
$151$	−3.86126	−	1.13377i	−0.314225	−	0.0922648i	−0.435043	+	0.900410i	$0.643267\pi$
$152$	−1.27214	+	2.78559i	−0.103184	+	0.225941i
$153$	−2.05023	−	1.31761i	−0.165752	−	0.106522i
$154$	1.90637	−	0.559762i	0.153620	−	0.0451069i
$155$	−1.80887	+	12.5810i	−0.145292	+	1.01053i
$156$	−2.86932	−	6.28293i	−0.229729	−	0.503037i
$157$	−1.89067	−	13.1499i	−0.150892	−	1.04948i	−0.914729	−	0.404068i	$-0.867596\pi$
$157$	−1.89067	−	13.1499i	−0.150892	−	1.04948i	0.763837	−	0.645409i	$-0.223313\pi$
$158$	−1.58752	+	1.02024i	−0.126296	+	0.0811658i
$159$	6.23053	−	7.19041i	0.494113	−	0.570237i
$160$	−1.69025			−0.133626
$161$	−1.44124	+	4.57415i	−0.113586	+	0.360493i
$162$	−1.00000			−0.0785674
$163$	4.18257	−	4.82694i	0.327604	−	0.378076i	−0.567923	−	0.823081i	$-0.692253\pi$
$163$	4.18257	−	4.82694i	0.327604	−	0.378076i	0.895528	+	0.445006i	$0.146798\pi$
$164$	−0.709064	+	0.455688i	−0.0553686	+	0.0355832i
$165$	0.477934	+	3.32410i	0.0372071	+	0.258781i
$166$	6.72219	+	14.7196i	0.521744	+	1.14246i
$167$	−0.101160	+	0.703583i	−0.00782799	+	0.0544449i	−0.993361	−	0.115039i	$-0.963301\pi$
$167$	−0.101160	+	0.703583i	−0.00782799	+	0.0544449i	0.985533	+	0.169483i	$0.0542099\pi$
$168$	−0.959493	+	0.281733i	−0.0740265	+	0.0217361i
$169$	29.1984	+	18.7647i	2.24603	+	1.44344i
$170$	1.71124	−	3.74708i	0.131246	−	0.287388i
$171$	−2.93828	−	0.862758i	−0.224696	−	0.0659767i
$172$	−0.440793	−	0.508703i	−0.0336102	−	0.0387882i
$173$	−12.7498	−	14.7140i	−0.969348	−	1.11869i	−0.992898	−	0.118965i	$-0.962042\pi$
$173$	−12.7498	−	14.7140i	−0.969348	−	1.11869i	0.0235503	−	0.999723i	$-0.492503\pi$
$174$	7.96134	+	2.33766i	0.603547	+	0.177218i
$175$	−0.890256	+	1.94939i	−0.0672971	+	0.147360i
$176$	1.67145	+	1.07418i	0.125990	+	0.0809690i
$177$	−2.40899	+	0.707345i	−0.181071	+	0.0531673i
$178$	−0.577207	+	4.01456i	−0.0432635	+	0.300904i
$179$	1.06918	+	2.34117i	0.0799142	+	0.174988i	0.945371	−	0.325995i	$-0.105699\pi$
$179$	1.06918	+	2.34117i	0.0799142	+	0.174988i	−0.865457	+	0.500983i	$0.832972\pi$
$180$	−0.240548	−	1.67305i	−0.0179294	−	0.124702i
$181$	18.7484	−	12.0488i	1.39355	−	0.895583i	0.393833	−	0.919182i	$-0.371149\pi$
$181$	18.7484	−	12.0488i	1.39355	−	0.895583i	0.999722	+	0.0235984i	$0.00751231\pi$
$182$	4.52320	−	5.22005i	0.335282	−	0.386936i
$183$	5.73092			0.423642
$184$	−4.40072	+	1.90621i	−0.324425	+	0.140528i
$185$	4.12283			0.303117
$186$	−4.92441	+	5.68308i	−0.361076	+	0.416703i
$187$	−4.07352	+	2.61789i	−0.297885	+	0.191439i
$188$	1.63319	+	11.3591i	0.119113	+	0.828448i
$189$	−0.415415	−	0.909632i	−0.0302170	−	0.0661660i
$190$	0.736636	−	5.12342i	0.0534412	−	0.371692i
$191$	−7.82722	+	2.29828i	−0.566358	+	0.166298i	−0.552362	−	0.833604i	$-0.686273\pi$
$191$	−7.82722	+	2.29828i	−0.566358	+	0.166298i	−0.0139959	+	0.999902i	$0.504455\pi$
$192$	−0.841254	−	0.540641i	−0.0607122	−	0.0390174i
$193$	−11.2018	+	24.5284i	−0.806320	+	1.76559i	−0.183844	+	0.982955i	$0.558854\pi$
$193$	−11.2018	+	24.5284i	−0.806320	+	1.76559i	−0.622476	+	0.782639i	$0.713873\pi$
$194$	8.36645	+	2.45661i	0.600676	+	0.176374i
$195$	7.64534	+	8.82319i	0.547494	+	0.631842i
$196$	−0.654861	−	0.755750i	−0.0467758	−	0.0539821i
$197$	−7.58439	−	2.22698i	−0.540365	−	0.158666i	0.000149585	−	1.00000i	$-0.499952\pi$
$197$	−7.58439	−	2.22698i	−0.540365	−	0.158666i	−0.540515	+	0.841334i	$0.681771\pi$
$198$	−0.825370	+	1.80731i	−0.0586565	+	0.128440i
$199$	21.4621	+	13.7929i	1.52141	+	0.977751i	0.991558	+	0.129661i	$0.0413891\pi$
$199$	21.4621	+	13.7929i	1.52141	+	0.977751i	0.529852	+	0.848090i	$0.322247\pi$
$200$	−2.05624	+	0.603768i	−0.145398	+	0.0426928i
$201$	0.530980	−	3.69305i	0.0374524	−	0.260487i
$202$	3.49090	+	7.64400i	0.245619	+	0.537830i
$203$	1.18085	+	8.21299i	0.0828794	+	0.576439i
$204$	2.05023	−	1.31761i	0.143545	−	0.0922508i
$205$	0.932951	−	1.07668i	0.0651601	−	0.0751988i
$206$	12.2260			0.851824
$207$	−2.51310	−	4.08465i	−0.174672	−	0.283903i
$208$	6.90712			0.478922
$209$	−3.98444	+	4.59829i	−0.275609	+	0.318070i
$210$	1.42193	−	0.913818i	0.0981224	−	0.0630595i
$211$	−1.17065	−	8.14208i	−0.0805911	−	0.560524i	−0.989611	−	0.143771i	$-0.954077\pi$
$211$	−1.17065	−	8.14208i	−0.0805911	−	0.560524i	0.909020	−	0.416753i	$-0.136832\pi$
$212$	3.95237	+	8.65449i	0.271450	+	0.594393i
$213$	0.135395	−	0.941693i	0.00927711	−	0.0645237i
$214$	1.43157	−	0.420347i	0.0978601	−	0.0287343i
$215$	0.957115	+	0.615100i	0.0652747	+	0.0419495i
$216$	0.415415	−	0.909632i	0.0282654	−	0.0618926i
$217$	−7.21518	−	2.11857i	−0.489799	−	0.143818i
$218$	−2.72272	−	3.14219i	−0.184406	−	0.212816i
$219$	8.93535	+	10.3119i	0.603795	+	0.696816i
$220$	−3.22225	−	0.946138i	−0.217244	−	0.0637886i
$221$	−6.99287	+	15.3123i	−0.470391	+	1.03001i
$222$	2.05197	+	1.31872i	0.137719	+	0.0885069i
$223$	−5.42858	+	1.59397i	−0.363524	+	0.106740i	−0.458393	−	0.888749i	$-0.651575\pi$
$223$	−5.42858	+	1.59397i	−0.363524	+	0.106740i	0.0948691	+	0.995490i	$0.469757\pi$
$224$	0.142315	−	0.989821i	0.00950881	−	0.0661352i
$225$	−0.890256	−	1.94939i	−0.0593504	−	0.129959i
$226$	−0.980503	−	6.81955i	−0.0652221	−	0.453630i
$227$	19.4963	−	12.5295i	1.29401	−	0.831612i	0.301467	−	0.953477i	$-0.402524\pi$
$227$	19.4963	−	12.5295i	1.29401	−	0.831612i	0.992547	+	0.121865i	$0.0388874\pi$
$228$	2.00540	−	2.31435i	0.132811	−	0.153272i
$229$	−9.05601			−0.598438			−0.299219	−	0.954184i	$-0.596726\pi$
$229$	−9.05601			−0.598438			−0.299219	+	0.954184i	$0.596726\pi$
$230$	6.22928	−	5.18708i	0.410747	−	0.342026i
$231$	−1.98686			−0.130726
$232$	−5.43367	+	6.27079i	−0.356738	+	0.411697i
$233$	0.852490	−	0.547862i	0.0558485	−	0.0358916i	−0.512419	−	0.858736i	$-0.671250\pi$
$233$	0.852490	−	0.547862i	0.0558485	−	0.0358916i	0.568267	+	0.822844i	$0.307614\pi$
$234$	0.982985	+	6.83681i	0.0642597	+	0.446936i
$235$	−8.05788	−	17.6443i	−0.525638	−	1.15099i
$236$	0.357309	−	2.48514i	0.0232589	−	0.161769i
$237$	1.81065	−	0.531655i	0.117614	−	0.0345347i
$238$	2.05023	+	1.31761i	0.132897	+	0.0854077i
$239$	−1.35617	+	2.96960i	−0.0877235	+	0.192088i	−0.948409	−	0.317049i	$-0.897308\pi$
$239$	−1.35617	+	2.96960i	−0.0877235	+	0.192088i	0.860686	+	0.509137i	$0.170035\pi$
$240$	1.62178	+	0.476199i	0.104686	+	0.0307385i
$241$	11.1115	+	12.8234i	0.715756	+	0.826026i	0.990790	−	0.135408i	$-0.0432347\pi$
$241$	11.1115	+	12.8234i	0.715756	+	0.826026i	−0.275034	+	0.961434i	$0.588689\pi$
$242$	−4.61834	−	5.32985i	−0.296878	−	0.342616i
$243$	0.959493	+	0.281733i	0.0615515	+	0.0180732i
$244$	−2.38071	+	5.21303i	−0.152409	+	0.333730i
$245$	1.42193	+	0.913818i	0.0908437	+	0.0583817i
$246$	0.808724	−	0.237463i	0.0515624	−	0.0151401i
$247$	−3.01022	+	20.9366i	−0.191536	+	1.33216i
$248$	−3.12383	−	6.84024i	−0.198364	−	0.434356i
$249$	−2.30292	−	16.0172i	−0.145942	−	1.01505i
$250$	10.1569	−	6.52745i	0.642380	−	0.412832i
$251$	2.45610	−	2.83449i	0.155027	−	0.178911i	−0.672923	−	0.739713i	$-0.734961\pi$
$251$	2.45610	−	2.83449i	0.155027	−	0.178911i	0.827950	+	0.560801i	$0.189507\pi$
$252$	1.00000			0.0629941
$253$	−9.45645	+	1.17060i	−0.594522	+	0.0735950i
$254$	−5.60698			−0.351813
$255$	−2.69759	+	3.11319i	−0.168930	+	0.194955i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	−0.906490	−	6.30478i	−0.0565453	−	0.393281i	−0.998365	−	0.0571624i	$-0.981795\pi$
$257$	−0.906490	−	6.30478i	−0.0565453	−	0.393281i	0.941820	−	0.336119i	$-0.109114\pi$
$258$	0.279620	+	0.612282i	0.0174084	+	0.0381190i
$259$	−0.347132	+	2.41436i	−0.0215697	+	0.150021i
$260$	−11.2018	+	3.28916i	−0.694709	+	0.203985i
$261$	−6.98025	−	4.48594i	−0.432067	−	0.277672i
$262$	−8.57293	+	18.7721i	−0.529637	+	1.15974i
$263$	−13.5726	−	3.98526i	−0.836920	−	0.245742i	−0.164933	−	0.986305i	$-0.552741\pi$
$263$	−13.5726	−	3.98526i	−0.836920	−	0.245742i	−0.671987	+	0.740563i	$0.734559\pi$
$264$	−1.30111	−	1.50157i	−0.0800781	−	0.0924150i
$265$	−10.5312	−	12.1536i	−0.646924	−	0.746590i
$266$	2.93828	+	0.862758i	0.180158	+	0.0528991i
$267$	1.68486	−	3.68932i	0.103112	−	0.225783i
$268$	3.13874	+	2.01714i	0.191729	+	0.123217i
$269$	11.3928	−	3.34524i	0.694634	−	0.203963i	0.0846896	−	0.996407i	$-0.473010\pi$
$269$	11.3928	−	3.34524i	0.694634	−	0.203963i	0.609944	+	0.792445i	$0.291192\pi$
$270$	−0.240548	+	1.67305i	−0.0146393	+	0.101818i
$271$	−2.82634	−	6.18883i	−0.171688	−	0.375945i	0.804154	−	0.594421i	$-0.202619\pi$
$271$	−2.82634	−	6.18883i	−0.171688	−	0.375945i	−0.975842	+	0.218476i	$0.929891\pi$
$272$	0.346838	+	2.41231i	0.0210301	+	0.146268i
$273$	−5.81064	+	3.73427i	−0.351676	+	0.226008i
$274$	7.02234	−	8.10421i	0.424235	−	0.489593i
$275$	−4.25794			−0.256763
$276$	4.75950	−	0.589172i	0.286488	−	0.0354640i
$277$	−4.64657			−0.279185			−0.139593	−	0.990209i	$-0.544579\pi$
$277$	−4.64657			−0.279185			−0.139593	+	0.990209i	$0.544579\pi$
$278$	14.3207	−	16.5270i	0.858899	−	0.991222i
$279$	6.32605	−	4.06550i	0.378731	−	0.243395i
$280$	0.240548	+	1.67305i	0.0143755	+	0.0999836i
$281$	2.84549	+	6.23075i	0.169748	+	0.371696i	0.975318	−	0.220804i	$-0.0708683\pi$
$281$	2.84549	+	6.23075i	0.169748	+	0.371696i	−0.805570	+	0.592500i	$0.798141\pi$
$282$	1.63319	−	11.3591i	0.0972552	−	0.676425i
$283$	8.96670	−	2.63286i	0.533015	−	0.156507i	−0.00413919	−	0.999991i	$-0.501318\pi$
$283$	8.96670	−	2.63286i	0.533015	−	0.156507i	0.537154	+	0.843484i	$0.319499\pi$
$284$	0.800349	+	0.514353i	0.0474920	+	0.0305212i
$285$	−2.15023	+	4.70835i	−0.127369	+	0.278898i
$286$	13.1676	+	3.86634i	0.778614	+	0.228622i
$287$	0.551960	+	0.636996i	0.0325812	+	0.0376007i
$288$	0.654861	+	0.755750i	0.0385880	+	0.0445330i
$289$	10.6124	+	3.11609i	0.624261	+	0.183299i
$290$	5.82609	−	12.7574i	0.342120	−	0.749138i
$291$	−7.33544	−	4.71420i	−0.430011	−	0.276351i
$292$	−13.0919	+	3.84414i	−0.766148	+	0.224961i
$293$	2.50469	−	17.4205i	0.146326	−	1.01772i	−0.775842	−	0.630928i	$-0.782674\pi$
$293$	2.50469	−	17.4205i	0.146326	−	1.01772i	0.922167	−	0.386791i	$-0.126416\pi$
$294$	0.415415	+	0.909632i	0.0242275	+	0.0530508i
$295$	0.603942	+	4.20051i	0.0351629	+	0.244563i
$296$	−2.05197	+	1.31872i	−0.119269	+	0.0766492i
$297$	1.30111	−	1.50157i	0.0754983	−	0.0871297i
$298$	−16.6184			−0.962676
$299$	−25.4556	+	21.1967i	−1.47214	+	1.22584i
$300$	2.14305			0.123729
$301$	−0.440793	+	0.508703i	−0.0254069	+	0.0293211i
$302$	−3.38544	+	2.17569i	−0.194810	+	0.125197i
$303$	−1.19593	−	8.31786i	−0.0687043	−	0.477849i
$304$	1.27214	+	2.78559i	0.0729621	+	0.159765i
$305$	1.37856	−	9.58809i	0.0789361	−	0.549013i
$306$	−2.33840	+	0.686616i	−0.133677	+	0.0392512i
$307$	−17.0246	−	10.9411i	−0.971646	−	0.624439i	−0.0444485	−	0.999012i	$-0.514153\pi$
$307$	−17.0246	−	10.9411i	−0.971646	−	0.624439i	−0.927198	+	0.374573i	$0.877789\pi$
$308$	0.825370	−	1.80731i	0.0470298	−	0.102981i
$309$	−11.7307	−	3.44446i	−0.667338	−	0.195948i
$310$	8.32349	+	9.60582i	0.472743	+	0.545574i
$311$	7.27305	+	8.39355i	0.412417	+	0.475954i	0.923512	−	0.383570i	$-0.125305\pi$
$311$	7.27305	+	8.39355i	0.412417	+	0.475954i	−0.511095	+	0.859524i	$0.670760\pi$
$312$	−6.62733	−	1.94596i	−0.375199	−	0.110168i
$313$	10.0323	−	21.9677i	0.567061	−	1.24169i	−0.381287	−	0.924457i	$-0.624519\pi$
$313$	10.0323	−	21.9677i	0.567061	−	1.24169i	0.948348	−	0.317233i	$-0.102754\pi$
$314$	−11.1762	−	7.18249i	−0.630707	−	0.405331i
$315$	−1.62178	+	0.476199i	−0.0913771	+	0.0268308i
$316$	−0.268561	+	1.86788i	−0.0151077	+	0.105077i
$317$	−2.78654	−	6.10167i	−0.156508	−	0.342704i	0.815093	−	0.579330i	$-0.196686\pi$
$317$	−2.78654	−	6.10167i	−0.156508	−	0.342704i	−0.971601	+	0.236626i	$0.923958\pi$
$318$	−1.35402	−	9.41744i	−0.0759298	−	0.528104i
$319$	−13.8688	+	8.91291i	−0.776502	+	0.499027i
$320$	−1.10688	+	1.27741i	−0.0618764	+	0.0714092i
$321$	−1.49201			−0.0832756
$322$	2.51310	+	4.08465i	0.140050	+	0.227628i
$323$	−7.46326			−0.415267
$324$	−0.654861	+	0.755750i	−0.0363812	+	0.0419861i
$325$	−12.4525	+	8.00274i	−0.690740	+	0.443912i
$326$	−0.908960	−	6.32195i	−0.0503426	−	0.350141i
$327$	1.72717	+	3.78199i	0.0955130	+	0.209144i
$328$	−0.119952	+	0.834287i	−0.00662326	+	0.0460658i
$329$	11.0111	−	3.23314i	0.607059	−	0.178249i
$330$	2.82517	+	1.81563i	0.155520	+	0.0999469i
$331$	8.89289	−	19.4727i	0.488797	−	1.07032i	−0.491153	−	0.871073i	$-0.663424\pi$
$331$	8.89289	−	19.4727i	0.488797	−	1.07032i	0.979950	−	0.199243i	$-0.0638484\pi$
$332$	15.5264	+	4.55896i	0.852122	+	0.250206i
$333$	−1.59733	−	1.84341i	−0.0875330	−	0.101018i
$334$	0.465487	+	0.537201i	0.0254703	+	0.0293943i
$335$	−6.05091	−	1.77671i	−0.330597	−	0.0970719i
$336$	−0.415415	+	0.909632i	−0.0226627	+	0.0496245i
$337$	16.5703	+	10.6491i	0.902643	+	0.580093i	0.907573	−	0.419894i	$-0.137933\pi$
$337$	16.5703	+	10.6491i	0.902643	+	0.580093i	−0.00492998	+	0.999988i	$0.501569\pi$
$338$	33.3023	−	9.77844i	1.81141	−	0.531877i
$339$	−0.980503	+	6.81955i	−0.0532536	+	0.370387i
$340$	−1.71124	−	3.74708i	−0.0928048	−	0.203214i
$341$	−2.12629	−	14.7887i	−0.115145	−	0.800851i
$342$	−2.57619	+	1.65562i	−0.139305	+	0.0895257i
$343$	−0.654861	+	0.755750i	−0.0353592	+	0.0408066i
$344$	−0.673110			−0.0362917
$345$	−7.43832	+	3.22198i	−0.400466	+	0.173465i
$346$	−19.4695			−1.04668
$347$	4.18105	−	4.82518i	0.224450	−	0.259029i	−0.632344	−	0.774688i	$-0.717907\pi$
$347$	4.18105	−	4.82518i	0.224450	−	0.259029i	0.856794	+	0.515658i	$0.172453\pi$
$348$	6.98025	−	4.48594i	0.374181	−	0.240471i
$349$	1.80456	+	12.5510i	0.0965958	+	0.671838i	0.979375	+	0.202051i	$0.0647605\pi$
$349$	1.80456	+	12.5510i	0.0965958	+	0.671838i	−0.882779	+	0.469788i	$0.844330\pi$
$350$	0.890256	+	1.94939i	0.0475862	+	0.104199i
$351$	0.982985	−	6.83681i	0.0524679	−	0.364922i
$352$	1.90637	−	0.559762i	0.101610	−	0.0298354i
$353$	8.40185	+	5.39954i	0.447185	+	0.287389i	0.744788	−	0.667301i	$-0.232551\pi$
$353$	8.40185	+	5.39954i	0.447185	+	0.287389i	−0.297602	+	0.954690i	$0.596187\pi$
$354$	−1.04298	+	2.28381i	−0.0554338	+	0.121383i
$355$	−1.54293	−	0.453044i	−0.0818900	−	0.0240451i
$356$	2.65601	+	3.06520i	0.140768	+	0.162455i
$357$	−1.59597	−	1.84185i	−0.0844678	−	0.0974811i
$358$	2.46950	+	0.725112i	0.130517	+	0.0383234i
$359$	9.56377	−	20.9417i	0.504757	−	1.10526i	−0.470137	−	0.882593i	$-0.655796\pi$
$359$	9.56377	−	20.9417i	0.504757	−	1.10526i	0.974894	−	0.222670i	$-0.0714771\pi$
$360$	−1.42193	−	0.913818i	−0.0749423	−	0.0481625i
$361$	9.23238	−	2.71087i	0.485915	−	0.142677i
$362$	3.17166	−	22.0594i	0.166699	−	1.15942i
$363$	2.92967	+	6.41509i	0.153768	+	0.336705i
$364$	−0.982985	−	6.83681i	−0.0515224	−	0.358346i
$365$	19.4017	−	12.4687i	1.01553	−	0.652643i
$366$	3.75295	−	4.33114i	0.196170	−	0.226392i
$367$	−21.9772			−1.14720			−0.573600	−	0.819135i	$-0.694454\pi$
$367$	−21.9772			−1.14720			−0.573600	+	0.819135i	$0.694454\pi$
$368$	−1.44124	+	4.57415i	−0.0751298	+	0.238444i
$369$	−0.842866			−0.0438779
$370$	2.69988	−	3.11583i	0.140360	−	0.161984i
$371$	8.00392	−	5.14381i	0.415543	−	0.267053i
$372$	1.07018	+	7.44325i	0.0554861	+	0.385914i
$373$	9.33563	+	20.4422i	0.483380	+	1.05846i	0.981520	+	0.191359i	$0.0612894\pi$
$373$	9.33563	+	20.4422i	0.483380	+	1.05846i	−0.498140	+	0.867097i	$0.665983\pi$
$374$	−0.689118	+	4.79292i	−0.0356334	+	0.247836i
$375$	−11.5845	+	3.40151i	−0.598220	+	0.175653i
$376$	9.65415	+	6.20435i	0.497875	+	0.319965i
$377$	−23.8080	+	52.1323i	−1.22618	+	2.68495i
$378$	−0.959493	−	0.281733i	−0.0493510	−	0.0144908i
$379$	23.9052	+	27.5881i	1.22793	+	1.41710i	0.876854	+	0.480756i	$0.159638\pi$
$379$	23.9052	+	27.5881i	1.22793	+	1.41710i	0.351074	+	0.936348i	$0.385817\pi$
$380$	−3.38963	−	3.91184i	−0.173884	−	0.200673i
$381$	5.37986	+	1.57967i	0.275619	+	0.0809289i
$382$	−3.38882	+	7.42047i	−0.173387	+	0.379664i
$383$	10.0646	+	6.46816i	0.514280	+	0.330507i	0.771905	−	0.635737i	$-0.219304\pi$
$383$	10.0646	+	6.46816i	0.514280	+	0.330507i	−0.257626	+	0.966245i	$0.582940\pi$
$384$	−0.959493	+	0.281733i	−0.0489639	+	0.0143771i
$385$	−0.477934	+	3.32410i	−0.0243578	+	0.169412i
$386$	11.2018	+	24.5284i	0.570154	+	1.24846i
$387$	−0.0957936	−	0.666259i	−0.00486946	−	0.0338678i
$388$	7.33544	−	4.71420i	0.372401	−	0.239327i
$389$	17.5154	−	20.2139i	0.888068	−	1.02489i	−0.111448	−	0.993770i	$-0.535549\pi$
$389$	17.5154	−	20.2139i	0.888068	−	1.02489i	0.999516	−	0.0311149i	$-0.00990579\pi$
$390$	11.6748			0.591174
$391$	−8.68121	−	7.82599i	−0.439027	−	0.395778i
$392$	−1.00000			−0.0505076
$393$	13.5144	−	15.5964i	0.681710	−	0.786736i
$394$	−6.64976	+	4.27354i	−0.335010	+	0.215298i
$395$	−0.453936	−	3.15719i	−0.0228400	−	0.158856i
$396$	0.825370	+	1.80731i	0.0414764	+	0.0908207i
$397$	−2.96837	+	20.6455i	−0.148978	+	1.03617i	0.768918	+	0.639347i	$0.220795\pi$
$397$	−2.96837	+	20.6455i	−0.148978	+	1.03617i	−0.917897	+	0.396820i	$0.870114\pi$
$398$	24.4787	−	7.18759i	1.22701	−	0.360281i
$399$	−2.57619	−	1.65562i	−0.128971	−	0.0828847i
$400$	−0.890256	+	1.94939i	−0.0445128	+	0.0974695i
$401$	−33.9881	−	9.97981i	−1.69729	−	0.498368i	−0.717187	−	0.696881i	$-0.754571\pi$
$401$	−33.9881	−	9.97981i	−1.69729	−	0.498368i	−0.980098	+	0.198513i	$0.936389\pi$
$402$	−2.44330	−	2.81972i	−0.121861	−	0.140635i
$403$	−34.0135	−	39.2537i	−1.69433	−	1.95536i
$404$	8.06300	+	2.36751i	0.401149	+	0.117788i
$405$	0.702155	−	1.53751i	0.0348904	−	0.0763993i
$406$	6.98025	+	4.48594i	0.346424	+	0.222633i
$407$	−4.65000	+	1.36536i	−0.230492	+	0.0676786i
$408$	0.346838	−	2.41231i	0.0171710	−	0.119427i
$409$	4.87133	+	10.6667i	0.240872	+	0.527436i	0.991001	−	0.133856i	$-0.0427359\pi$
$409$	4.87133	+	10.6667i	0.240872	+	0.527436i	−0.750129	+	0.661292i	$0.770009\pi$
$410$	−0.202750	−	1.41015i	−0.0100131	−	0.0696425i
$411$	−9.02110	+	5.79751i	−0.444978	+	0.285970i
$412$	8.00631	−	9.23978i	0.394443	−	0.455211i
$413$	−2.51070			−0.123543
$414$	−4.73270	−	0.775601i	−0.232599	−	0.0381187i
$415$	−27.3514			−1.34263
$416$	4.52320	−	5.22005i	0.221768	−	0.255934i
$417$	−18.3968	+	11.8229i	−0.900895	+	0.578970i
$418$	0.865901	+	6.02248i	0.0423526	+	0.294569i
$419$	2.15786	+	4.72505i	0.105418	+	0.230834i	0.954989	−	0.296641i	$-0.0958663\pi$
$419$	2.15786	+	4.72505i	0.105418	+	0.230834i	−0.849571	+	0.527474i	$0.823139\pi$
$420$	0.240548	−	1.67305i	0.0117375	−	0.0816363i
$421$	5.86615	−	1.72246i	0.285899	−	0.0839475i	−0.135639	−	0.990758i	$-0.543309\pi$
$421$	5.86615	−	1.72246i	0.285899	−	0.0839475i	0.421538	+	0.906811i	$0.361491\pi$
$422$	−6.91998	−	4.44720i	−0.336860	−	0.216487i
$423$	−4.76727	+	10.4389i	−0.231792	+	0.507555i
$424$	9.12888	+	2.68048i	0.443338	+	0.130176i
$425$	−3.42025	−	3.94718i	−0.165907	−	0.191467i
$426$	−0.623019	−	0.719002i	−0.0301854	−	0.0348358i
$427$	5.49878	+	1.61459i	0.266104	+	0.0781353i
$428$	0.619802	−	1.35718i	0.0299592	−	0.0656016i
$429$	−11.5449	−	7.41946i	−0.557393	−	0.358215i
$430$	1.09164	−	0.320534i	0.0526435	−	0.0154575i
$431$	1.83473	−	12.7608i	0.0883756	−	0.614666i	−0.896712	−	0.442614i	$-0.854051\pi$
$431$	1.83473	−	12.7608i	0.0883756	−	0.614666i	0.985088	−	0.172052i	$-0.0550397\pi$
$432$	−0.415415	−	0.909632i	−0.0199867	−	0.0437647i
$433$	−5.37111	−	37.3569i	−0.258119	−	1.79526i	−0.546205	−	0.837651i	$-0.683928\pi$
$433$	−5.37111	−	37.3569i	−0.258119	−	1.79526i	0.288086	−	0.957604i	$-0.406981\pi$
$434$	−6.32605	+	4.06550i	−0.303660	+	0.195150i
$435$	−9.18426	+	10.5992i	−0.440352	+	0.508193i
$436$	−4.15771			−0.199118
$437$	−13.2369	−	6.36211i	−0.633204	−	0.304341i
$438$	13.6446			0.651967
$439$	2.43976	−	2.81563i	0.116443	−	0.134383i	−0.694535	−	0.719459i	$-0.744390\pi$
$439$	2.43976	−	2.81563i	0.116443	−	0.134383i	0.810978	+	0.585076i	$0.198935\pi$
$440$	−2.82517	+	1.81563i	−0.134685	+	0.0865566i
$441$	−0.142315	−	0.989821i	−0.00677690	−	0.0471344i
$442$	6.99287	+	15.3123i	0.332617	+	0.728330i
$443$	−4.78444	+	33.2765i	−0.227316	+	1.58102i	0.482030	+	0.876155i	$0.339900\pi$
$443$	−4.78444	+	33.2765i	−0.227316	+	1.58102i	−0.709345	+	0.704861i	$0.751009\pi$
$444$	2.34038	−	0.687198i	0.111070	−	0.0326130i
$445$	−5.76712	−	3.70630i	−0.273388	−	0.175696i
$446$	−2.35032	+	5.14647i	−0.111291	+	0.243693i
$447$	15.9452	+	4.68194i	0.754182	+	0.221448i
$448$	−0.654861	−	0.755750i	−0.0309393	−	0.0357058i
$449$	−20.0432	−	23.1310i	−0.945895	−	1.09162i	−0.995679	−	0.0928613i	$-0.970399\pi$
$449$	−20.0432	−	23.1310i	−0.945895	−	1.09162i	0.0497838	−	0.998760i	$-0.484147\pi$
$450$	−2.05624	−	0.603768i	−0.0969323	−	0.0284619i
$451$	−0.695677	+	1.52332i	−0.0327581	+	0.0717303i
$452$	−5.79596	−	3.72484i	−0.272619	−	0.175202i
$453$	3.86126	−	1.13377i	0.181418	−	0.0532691i
$454$	3.29819	−	22.9394i	0.154791	−	1.07660i
$455$	4.84987	+	10.6197i	0.227365	+	0.497861i
$456$	−0.435815	−	3.03116i	−0.0204089	−	0.141947i
$457$	18.7497	−	12.0497i	0.877073	−	0.563661i	−0.0228353	−	0.999739i	$-0.507269\pi$
$457$	18.7497	−	12.0497i	0.877073	−	0.563661i	0.899909	+	0.436078i	$0.143633\pi$
$458$	−5.93042	+	6.84407i	−0.277111	+	0.319803i
$459$	2.43712			0.113755
$460$	0.159176	−	8.10459i	0.00742161	−	0.377879i
$461$	−18.6682			−0.869466			−0.434733	−	0.900559i	$-0.643157\pi$
$461$	−18.6682			−0.869466			−0.434733	+	0.900559i	$0.643157\pi$
$462$	−1.30111	+	1.50157i	−0.0605333	+	0.0698592i
$463$	17.3297	−	11.1371i	0.805380	−	0.517586i	−0.0719876	−	0.997406i	$-0.522934\pi$
$463$	17.3297	−	11.1371i	0.805380	−	0.517586i	0.877367	+	0.479819i	$0.159298\pi$
$464$	1.18085	+	8.21299i	0.0548195	+	0.381278i
$465$	−5.28006	−	11.5617i	−0.244857	−	0.536162i
$466$	0.144216	−	1.00304i	0.00668066	−	0.0464650i
$467$	−30.2992	+	8.89665i	−1.40208	+	0.411688i	−0.893398	−	0.449266i	$-0.851685\pi$
$467$	−30.2992	+	8.89665i	−1.40208	+	0.411688i	−0.508682	+	0.860954i	$0.669867\pi$
$468$	5.81064	+	3.73427i	0.268597	+	0.172617i
$469$	1.54992	−	3.39386i	0.0715688	−	0.156714i
$470$	−18.6114	−	5.46481i	−0.858482	−	0.252073i
$471$	8.69991	+	10.0402i	0.400871	+	0.462630i
$472$	−1.64416	−	1.89746i	−0.0756784	−	0.0873375i
$473$	−1.28320	−	0.376782i	−0.0590016	−	0.0173244i
$474$	0.783926	−	1.71656i	0.0360069	−	0.0788442i
$475$	−5.52092	−	3.54808i	−0.253317	−	0.162797i
$476$	2.33840	−	0.686616i	0.107180	−	0.0314710i
$477$	−1.35402	+	9.41744i	−0.0619965	+	0.431195i
$478$	1.35617	+	2.96960i	0.0620299	+	0.135826i
$479$	0.988796	+	6.87723i	0.0451792	+	0.314228i	0.999862	+	0.0166037i	$0.00528535\pi$
$479$	0.988796	+	6.87723i	0.0451792	+	0.314228i	−0.954683	+	0.297625i	$0.903806\pi$
$480$	1.42193	−	0.913818i	0.0649019	−	0.0417099i
$481$	−11.0329	+	12.7327i	−0.503058	+	0.580560i
$482$	16.9678			0.772860
$483$	−1.26052	−	4.62721i	−0.0573558	−	0.210545i
$484$	−7.05240			−0.320564
$485$	−9.65160	+	11.1385i	−0.438257	+	0.505775i
$486$	0.841254	−	0.540641i	0.0381600	−	0.0245240i
$487$	2.72116	+	18.9260i	0.123307	+	0.857621i	0.953768	+	0.300544i	$0.0971682\pi$
$487$	2.72116	+	18.9260i	0.123307	+	0.857621i	−0.830461	+	0.557077i	$0.811923\pi$
$488$	2.38071	+	5.21303i	0.107770	+	0.235983i
$489$	−0.908960	+	6.32195i	−0.0411046	+	0.285889i
$490$	1.62178	−	0.476199i	0.0732647	−	0.0215125i
$491$	11.1392	+	7.15874i	0.502706	+	0.323070i	0.767298	−	0.641291i	$-0.221601\pi$
$491$	11.1392	+	7.15874i	0.502706	+	0.323070i	−0.264592	+	0.964361i	$0.585237\pi$
$492$	0.350139	−	0.766698i	0.0157855	−	0.0345654i
$493$	−19.4027	−	5.69715i	−0.873855	−	0.256587i
$494$	13.8515	+	15.9855i	0.623209	+	0.719222i
$495$	−2.19921	−	2.53802i	−0.0988471	−	0.114076i
$496$	−7.21518	−	2.11857i	−0.323971	−	0.0951266i
$497$	0.395216	−	0.865402i	0.0177279	−	0.0388186i
$498$	−13.6131	−	8.74858i	−0.610016	−	0.392033i
$499$	−32.9336	+	9.67019i	−1.47431	+	0.432897i	−0.917498	−	0.397740i	$-0.869795\pi$
$499$	−32.9336	+	9.67019i	−1.47431	+	0.432897i	−0.556814	+	0.830637i	$0.687977\pi$
$500$	1.71825	−	11.9507i	0.0768423	−	0.534450i
$501$	−0.295285	−	0.646583i	−0.0131923	−	0.0288872i
$502$	−0.533761	−	3.71239i	−0.0238229	−	0.165692i
$503$	26.3531	−	16.9361i	1.17503	−	0.755145i	0.200563	−	0.979681i	$-0.435723\pi$
$503$	26.3531	−	16.9361i	1.17503	−	0.755145i	0.974466	+	0.224536i	$0.0720866\pi$
$504$	0.654861	−	0.755750i	0.0291698	−	0.0336638i
$505$	−14.2038			−0.632063
$506$	−5.30798	+	7.91329i	−0.235968	+	0.351789i
$507$	−34.7083			−1.54145
$508$	−3.67179	+	4.23747i	−0.162909	+	0.188008i
$509$	4.21518	−	2.70893i	0.186835	−	0.120071i	−0.443880	−	0.896086i	$-0.646398\pi$
$509$	4.21518	−	2.70893i	0.186835	−	0.120071i	0.630714	+	0.776015i	$0.282762\pi$
$510$	0.586243	+	4.07741i	0.0259593	+	0.180551i
$511$	5.66819	+	12.4116i	0.250746	+	0.549057i
$512$	0.142315	−	0.989821i	0.00628949	−	0.0437443i
$513$	2.93828	−	0.862758i	0.129728	−	0.0380917i
$514$	−5.35846	−	3.44367i	−0.236351	−	0.151894i
$515$	−8.58454	+	18.7975i	−0.378280	+	0.828317i
$516$	0.645844	+	0.189637i	0.0284317	+	0.00834830i
$517$	14.9315	+	17.2318i	0.656686	+	0.757856i
$518$	1.59733	+	1.84341i	0.0701825	+	0.0809949i
$519$	18.6808	+	5.48518i	0.819997	+	0.240773i
$520$	−4.84987	+	10.6197i	−0.212681	+	0.465706i
$521$	−32.7015	−	21.0160i	−1.43268	−	0.920726i	−0.999814	−	0.0192665i	$-0.993867\pi$
$521$	−32.7015	−	21.0160i	−1.43268	−	0.920726i	−0.432863	−	0.901460i	$-0.642497\pi$
$522$	−7.96134	+	2.33766i	−0.348458	+	0.102317i
$523$	1.52804	−	10.6277i	0.0668163	−	0.464718i	−0.928754	−	0.370697i	$-0.879119\pi$
$523$	1.52804	−	10.6277i	0.0668163	−	0.464718i	0.995570	−	0.0940208i	$-0.0299720\pi$
$524$	8.57293	+	18.7721i	0.374510	+	0.820063i
$525$	−0.304988	−	2.12124i	−0.0133108	−	0.0925785i
$526$	−11.9000	+	7.64766i	−0.518864	+	0.333454i
$527$	12.0014	−	13.8503i	0.522788	−	0.603330i
$528$	−1.98686			−0.0864668
$529$	−8.72569	−	21.2806i	−0.379378	−	0.925242i
$530$	−16.0815			−0.698536
$531$	1.64416	−	1.89746i	0.0713503	−	0.0823426i
$532$	2.57619	−	1.65562i	0.111692	−	0.0717802i
$533$	0.828525	+	5.76252i	0.0358874	+	0.249602i
$534$	−1.68486	−	3.68932i	−0.0729109	−	0.159653i
$535$	−0.358899	+	2.49619i	−0.0155165	+	0.107920i
$536$	3.57989	−	1.05115i	0.154628	−	0.0454028i
$537$	−2.16518	−	1.39148i	−0.0934346	−	0.0600468i
$538$	4.93256	−	10.8008i	0.212658	−	0.465655i
$539$	−1.90637	−	0.559762i	−0.0821134	−	0.0241107i
$540$	1.10688	+	1.27741i	0.0476325	+	0.0549708i
$541$	−3.08372	−	3.55880i	−0.132579	−	0.153005i	0.685578	−	0.727999i	$-0.259550\pi$
$541$	−3.08372	−	3.55880i	−0.132579	−	0.153005i	−0.818157	+	0.574994i	$0.805004\pi$
$542$	−6.52807	−	1.91681i	−0.280405	−	0.0823342i
$543$	−9.25803	+	20.2723i	−0.397300	+	0.869966i
$544$	2.05023	+	1.31761i	0.0879031	+	0.0564919i
$545$	6.74290	−	1.97990i	0.288834	−	0.0848094i
$546$	−0.982985	+	6.83681i	−0.0420679	+	0.292589i
$547$	−1.56002	−	3.41597i	−0.0667017	−	0.146056i	0.873345	−	0.487102i	$-0.161946\pi$
$547$	−1.56002	−	3.41597i	−0.0667017	−	0.146056i	−0.940047	+	0.341046i	$0.889219\pi$
$548$	−1.52610	−	10.6143i	−0.0651917	−	0.453419i
$549$	−4.82116	+	3.09837i	−0.205762	+	0.132235i
$550$	−2.78836	+	3.21794i	−0.118896	+	0.137213i
$551$	−25.4095			−1.08248
$552$	2.67155	−	3.98282i	0.113709	−	0.169520i
$553$	1.88709			0.0802473
$554$	−3.04286	+	3.51164i	−0.129279	+	0.149195i
$555$	−3.46835	+	2.22897i	−0.147223	+	0.0946146i
$556$	−3.11219	−	21.6457i	−0.131986	−	0.917984i
$557$	9.32674	+	20.4227i	0.395187	+	0.865339i	0.997736	+	0.0672565i	$0.0214246\pi$
$557$	9.32674	+	20.4227i	0.395187	+	0.865339i	−0.602549	+	0.798082i	$0.705848\pi$
$558$	1.07018	−	7.44325i	0.0453042	−	0.315098i
$559$	−4.46092	+	1.30984i	−0.188677	+	0.0554005i
$560$	1.42193	+	0.913818i	0.0600875	+	0.0386159i
$561$	2.01152	−	4.40462i	0.0849266	−	0.185963i
$562$	6.57229	+	1.92980i	0.277235	+	0.0814036i
$563$	21.8781	+	25.2487i	0.922052	+	1.06410i	0.997755	+	0.0669741i	$0.0213345\pi$
$563$	21.8781	+	25.2487i	0.922052	+	1.06410i	−0.0757029	+	0.997130i	$0.524120\pi$
$564$	−7.51513	−	8.67292i	−0.316444	−	0.365196i
$565$	11.1736	+	3.28085i	0.470075	+	0.138027i
$566$	3.88216	−	8.50074i	0.163179	−	0.357313i
$567$	0.841254	+	0.540641i	0.0353293	+	0.0227048i
$568$	0.912839	−	0.268034i	0.0383019	−	0.0112464i
$569$	−1.53920	+	10.7053i	−0.0645265	+	0.448791i	0.931787	+	0.363005i	$0.118249\pi$
$569$	−1.53920	+	10.7053i	−0.0645265	+	0.448791i	−0.996314	+	0.0857862i	$0.972660\pi$
$570$	2.15023	+	4.70835i	0.0900632	+	0.197211i
$571$	−3.52172	−	24.4941i	−0.147379	−	1.02505i	−0.920487	−	0.390772i	$-0.872208\pi$
$571$	−3.52172	−	24.4941i	−0.147379	−	1.02505i	0.773108	−	0.634274i	$-0.218701\pi$
$572$	11.5449	−	7.41946i	0.482717	−	0.310223i
$573$	5.34213	−	6.16515i	0.223171	−	0.257553i
$574$	0.842866			0.0351806
$575$	−2.70137	−	9.91636i	−0.112655	−	0.413541i
$576$	1.00000			0.0416667
$577$	19.6230	−	22.6462i	0.816917	−	0.942772i	−0.182264	−	0.983250i	$-0.558342\pi$
$577$	19.6230	−	22.6462i	0.816917	−	0.942772i	0.999180	+	0.0404775i	$0.0128879\pi$
$578$	9.30465	−	5.97973i	0.387022	−	0.248724i
$579$	−3.83755	−	26.6907i	−0.159483	−	1.10923i
$580$	−5.82609	−	12.7574i	−0.241915	−	0.529721i
$581$	2.30292	−	16.0172i	0.0955413	−	0.664504i
$582$	−8.36645	+	2.45661i	−0.346801	+	0.101830i
$583$	15.9026	+	10.2200i	0.658620	+	0.423269i
$584$	−5.66819	+	12.4116i	−0.234551	+	0.513596i
$585$	−11.2018	−	3.28916i	−0.463139	−	0.135990i
$586$	−11.5253	−	13.3009i	−0.476107	−	0.549457i
$587$	−9.47255	−	10.9319i	−0.390974	−	0.451208i	0.525804	−	0.850606i	$-0.323765\pi$
$587$	−9.47255	−	10.9319i	−0.390974	−	0.451208i	−0.916778	+	0.399398i	$0.869219\pi$
$588$	0.959493	+	0.281733i	0.0395688	+	0.0116185i
$589$	9.56620	−	20.9471i	0.394168	−	0.863108i
$590$	3.57003	+	2.29432i	0.146976	+	0.0944557i
$591$	7.58439	−	2.22698i	0.311980	−	0.0916056i
$592$	−0.347132	+	2.41436i	−0.0142670	+	0.0992295i
$593$	−10.3395	−	22.6404i	−0.424594	−	0.929732i	−0.994173	−	0.107795i	$-0.965621\pi$
$593$	−10.3395	−	22.6404i	−0.424594	−	0.929732i	0.569579	−	0.821937i	$-0.307106\pi$
$594$	−0.282759	−	1.96663i	−0.0116017	−	0.0806919i
$595$	−3.46541	+	2.22708i	−0.142068	+	0.0913015i
$596$	−10.8827	+	12.5593i	−0.445773	+	0.514450i
$597$	−25.5121			−1.04414
$598$	−0.650463	+	33.1190i	−0.0265994	+	1.35434i
$599$	38.6373			1.57868			0.789338	−	0.613959i	$-0.210424\pi$
$599$	38.6373			1.57868			0.789338	+	0.613959i	$0.210424\pi$
$600$	1.40340	−	1.61961i	0.0572936	−	0.0661204i
$601$	−32.7445	+	21.0436i	−1.33567	+	0.858386i	−0.996601	−	0.0823739i	$-0.973750\pi$
$601$	−32.7445	+	21.0436i	−1.33567	+	0.858386i	−0.339073	+	0.940760i	$0.610113\pi$
$602$	0.0957936	+	0.666259i	0.00390425	+	0.0271547i
$603$	1.54992	+	3.39386i	0.0631177	+	0.138209i
$604$	−0.572714	+	3.98331i	−0.0233034	+	0.162079i
$605$	11.4375	−	3.35834i	0.464999	−	0.136536i
$606$	−7.06939	−	4.54322i	−0.287174	−	0.184556i
$607$	3.25654	−	7.13084i	0.132179	−	0.289432i	−0.831957	−	0.554840i	$-0.812779\pi$
$607$	3.25654	−	7.13084i	0.132179	−	0.289432i	0.964136	+	0.265408i	$0.0855068\pi$
$608$	2.93828	+	0.862758i	0.119163	+	0.0349894i
$609$	−5.43367	−	6.27079i	−0.220183	−	0.254105i
$610$	−6.34343	−	7.32071i	−0.256838	−	0.296407i
$611$	76.0547	+	22.3317i	3.07684	+	0.903442i
$612$	−1.01242	+	2.21688i	−0.0409245	+	0.0896121i
$613$	−27.6250	−	17.7535i	−1.11576	−	0.717058i	−0.153223	−	0.988192i	$-0.548965\pi$
$613$	−27.6250	−	17.7535i	−1.11576	−	0.717058i	−0.962542	+	0.271134i	$0.912602\pi$
$614$	−19.4174	+	5.70148i	−0.783624	+	0.230093i
$615$	−0.202750	+	1.41015i	−0.00817565	+	0.0568629i
$616$	−0.825370	−	1.80731i	−0.0332551	−	0.0728185i
$617$	3.87501	+	26.9513i	0.156002	+	1.08502i	0.905908	+	0.423475i	$0.139190\pi$
$617$	3.87501	+	26.9513i	0.156002	+	1.08502i	−0.749906	+	0.661545i	$0.769901\pi$
$618$	−10.2851	+	6.60986i	−0.413729	+	0.265888i
$619$	8.38978	−	9.68232i	0.337214	−	0.389165i	−0.561664	−	0.827366i	$-0.689839\pi$
$619$	8.38978	−	9.68232i	0.337214	−	0.389165i	0.898877	+	0.438200i	$0.144384\pi$
$620$	12.7103			0.510459
$621$	4.32248	+	2.07754i	0.173455	+	0.0833688i
$622$	11.1063			0.445320
$623$	2.65601	−	3.06520i	0.106411	−	0.122805i
$624$	−5.81064	+	3.73427i	−0.232612	+	0.149490i
$625$	1.37932	+	9.59341i	0.0551729	+	0.383736i
$626$	−10.0323	−	21.9677i	−0.400972	−	0.878007i
$627$	0.865901	−	6.02248i	0.0345808	−	0.240515i
$628$	−12.7470	+	3.74285i	−0.508660	+	0.149356i
$629$	−5.00090	−	3.21388i	−0.199399	−	0.128146i
$630$	−0.702155	+	1.53751i	−0.0279745	+	0.0612557i
$631$	22.2892	+	6.54469i	0.887318	+	0.260540i	0.693465	−	0.720490i	$-0.256083\pi$
$631$	22.2892	+	6.54469i	0.887318	+	0.260540i	0.193853	+	0.981031i	$0.437901\pi$
$632$	1.23578	+	1.42617i	0.0491568	+	0.0567299i
$633$	5.38675	+	6.21665i	0.214104	+	0.247090i
$634$	−6.43613	−	1.88982i	−0.255611	−	0.0750542i
$635$	3.93697	−	8.62077i	0.156234	−	0.342105i
$636$	−8.00392	−	5.14381i	−0.317376	−	0.203965i
$637$	−6.62733	+	1.94596i	−0.262584	+	0.0771017i
$638$	−2.34618	+	16.3180i	−0.0928861	+	0.646037i
$639$	0.395216	+	0.865402i	0.0156345	+	0.0342348i
$640$	0.240548	+	1.67305i	0.00950848	+	0.0661330i
$641$	26.8935	−	17.2834i	1.06223	−	0.682653i	0.111843	−	0.993726i	$-0.464325\pi$
$641$	26.8935	−	17.2834i	1.06223	−	0.682653i	0.950386	+	0.311072i	$0.100688\pi$
$642$	−0.977056	+	1.12758i	−0.0385613	+	0.0445021i
$643$	−34.7079			−1.36875			−0.684373	−	0.729132i	$-0.739924\pi$
$643$	−34.7079			−1.36875			−0.684373	+	0.729132i	$0.739924\pi$
$644$	4.73270	+	0.775601i	0.186494	+	0.0305630i
$645$	−1.13772			−0.0447979
$646$	−4.88739	+	5.64035i	−0.192292	+	0.221917i
$647$	−0.784807	+	0.504365i	−0.0308540	+	0.0198286i	−0.555977	−	0.831198i	$-0.687656\pi$
$647$	−0.784807	+	0.504365i	−0.0308540	+	0.0198286i	0.525123	+	0.851026i	$0.324019\pi$
$648$	0.142315	+	0.989821i	0.00559065	+	0.0388839i
$649$	−2.07225	−	4.53760i	−0.0813430	−	0.178116i
$650$	−2.10659	+	14.6516i	−0.0826272	+	0.574685i
$651$	7.21518	−	2.11857i	0.282785	−	0.0830333i
$652$	−5.37306	−	3.45305i	−0.210425	−	0.135232i
$653$	−2.51286	+	5.50239i	−0.0983357	+	0.215325i	−0.952406	−	0.304833i	$-0.901400\pi$
$653$	−2.51286	+	5.50239i	−0.0983357	+	0.215325i	0.854070	+	0.520158i	$0.174127\pi$
$654$	3.98929	+	1.17136i	0.155994	+	0.0458039i
$655$	−22.8427	−	26.3619i	−0.892538	−	1.03004i
$656$	0.551960	+	0.636996i	0.0215504	+	0.0248705i
$657$	−13.0919	−	3.84414i	−0.510765	−	0.149974i
$658$	4.76727	−	10.4389i	0.185847	−	0.406949i
$659$	5.56921	+	3.57911i	0.216946	+	0.139422i	0.644600	−	0.764520i	$-0.277024\pi$
$659$	5.56921	+	3.57911i	0.216946	+	0.139422i	−0.427655	+	0.903942i	$0.640660\pi$
$660$	3.22225	−	0.946138i	0.125426	−	0.0368284i
$661$	3.17709	−	22.0971i	0.123574	−	0.859479i	−0.829880	−	0.557942i	$-0.811591\pi$
$661$	3.17709	−	22.0971i	0.123574	−	0.859479i	0.953454	−	0.301537i	$-0.0974998\pi$
$662$	−8.89289	−	19.4727i	−0.345632	−	0.756828i
$663$	−2.39565	−	16.6621i	−0.0930394	−	0.647103i
$664$	13.6131	−	8.74858i	0.528289	−	0.339511i
$665$	−3.38963	+	3.91184i	−0.131444	+	0.151695i
$666$	−2.43919			−0.0945165
$667$	−29.5561	−	26.6445i	−1.14442	−	1.03168i
$668$	0.710818			0.0275024
$669$	3.70504	−	4.27585i	0.143245	−	0.165314i
$670$	−5.30525	+	3.40948i	−0.204960	+	0.131720i
$671$	1.62047	+	11.2706i	0.0625575	+	0.435097i
$672$	0.415415	+	0.909632i	0.0160250	+	0.0350898i
$673$	−2.15092	+	14.9600i	−0.0829119	+	0.576665i	0.905439	+	0.424475i	$0.139541\pi$
$673$	−2.15092	+	14.9600i	−0.0829119	+	0.576665i	−0.988351	+	0.152189i	$0.951368\pi$
$674$	18.8993	−	5.54934i	0.727974	−	0.213752i
$675$	1.80285	+	1.15862i	0.0693918	+	0.0445954i
$676$	14.4183	−	31.5717i	0.554551	−	1.21430i
$677$	2.47023	+	0.725324i	0.0949386	+	0.0278765i	0.328857	−	0.944380i	$-0.393337\pi$
$677$	2.47023	+	0.725324i	0.0949386	+	0.0278765i	−0.233918	+	0.972256i	$0.575155\pi$
$678$	4.51178	+	5.20687i	0.173274	+	0.199969i
$679$	−5.71016	−	6.58988i	−0.219136	−	0.252896i
$680$	−3.95248	−	1.16055i	−0.151571	−	0.0445051i
$681$	−9.62736	+	21.0810i	−0.368921	+	0.807824i
$682$	−12.5689	−	8.07757i	−0.481290	−	0.309306i
$683$	13.2507	−	3.89076i	0.507024	−	0.148876i	−0.0182087	−	0.999834i	$-0.505796\pi$
$683$	13.2507	−	3.89076i	0.507024	−	0.148876i	0.525233	+	0.850958i	$0.323978\pi$
$684$	−0.435815	+	3.03116i	−0.0166638	+	0.115899i
$685$	7.52950	+	16.4873i	0.287687	+	0.629947i
$686$	0.142315	+	0.989821i	0.00543361	+	0.0377916i
$687$	7.61840	−	4.89605i	0.290660	−	0.186796i
$688$	−0.440793	+	0.508703i	−0.0168051	+	0.0193941i
$689$	65.7162			2.50359
$690$	−2.43606	+	7.73146i	−0.0927391	+	0.294331i
$691$	−18.6626			−0.709958			−0.354979	−	0.934874i	$-0.615512\pi$
$691$	−18.6626			−0.709958			−0.354979	+	0.934874i	$0.615512\pi$
$692$	−12.7498	+	14.7140i	−0.484674	+	0.559344i
$693$	1.67145	−	1.07418i	0.0634931	−	0.0408046i
$694$	−0.908628	−	6.31965i	−0.0344911	−	0.239891i
$695$	15.3550	+	33.6227i	0.582447	+	1.27538i
$696$	1.18085	−	8.21299i	0.0447600	−	0.311312i
$697$	−1.97096	+	0.578725i	−0.0746553	+	0.0219208i
$698$	10.6671	+	6.85535i	0.403757	+	0.259479i
$699$	−0.420964	+	0.921782i	−0.0159223	+	0.0348650i
$700$	2.05624	+	0.603768i	0.0777187	+	0.0228203i
$701$	−27.7813	−	32.0613i	−1.04928	−	1.21094i	−0.976930	−	0.213560i	$-0.931494\pi$
$701$	−27.7813	−	32.0613i	−1.04928	−	1.21094i	−0.0723544	−	0.997379i	$-0.523051\pi$
$702$	−4.52320	−	5.22005i	−0.170717	−	0.197018i
$703$	−7.16701	−	2.10443i	−0.270309	−	0.0793699i
$704$	0.825370	−	1.80731i	0.0311073	−	0.0681155i
$705$	16.3179	+	10.4869i	0.614569	+	0.394960i
$706$	9.58275	−	2.81375i	0.360651	−	0.105897i
$707$	1.19593	−	8.31786i	0.0449775	−	0.312825i
$708$	1.04298	+	2.28381i	0.0391976	+	0.0858308i
$709$	2.73004	+	18.9878i	0.102529	+	0.713102i	0.974637	+	0.223790i	$0.0718430\pi$
$709$	2.73004	+	18.9878i	0.102529	+	0.713102i	−0.872109	+	0.489312i	$0.837248\pi$
$710$	−1.35279	+	0.869385i	−0.0507693	+	0.0326274i
$711$	−1.23578	+	1.42617i	−0.0463454	+	0.0534855i
$712$	4.05584			0.151999
$713$	33.0925	−	14.3343i	1.23932	−	0.536825i
$714$	−2.43712			−0.0912069
$715$	−15.1902	+	17.5304i	−0.568081	+	0.655600i
$716$	2.16518	−	1.39148i	0.0809168	−	0.0520020i
$717$	−0.464604	−	3.23139i	−0.0173509	−	0.120678i
$718$	−9.56377	−	20.9417i	−0.356917	−	0.781539i
$719$	2.76716	−	19.2460i	0.103198	−	0.717755i	−0.870873	−	0.491509i	$-0.836445\pi$
$719$	2.76716	−	19.2460i	0.103198	−	0.717755i	0.974070	−	0.226246i	$-0.0726454\pi$
$720$	−1.62178	+	0.476199i	−0.0604403	+	0.0177469i
$721$	−10.2851	−	6.60986i	−0.383039	−	0.246164i
$722$	3.99718	−	8.75261i	0.148760	−	0.325738i
$723$	−16.2804	−	4.78037i	−0.605476	−	0.177784i
$724$	−14.5944	−	16.8428i	−0.542396	−	0.625958i
$725$	−11.6446	−	13.4386i	−0.432471	−	0.499098i
$726$	6.76673	+	1.98689i	0.251137	+	0.0737404i
$727$	−14.2496	+	31.2024i	−0.528490	+	1.15723i	0.437634	+	0.899153i	$0.355817\pi$
$727$	−14.2496	+	31.2024i	−0.528490	+	1.15723i	−0.966124	+	0.258078i	$0.916911\pi$
$728$	−5.81064	−	3.73427i	−0.215356	−	0.138401i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	3.28219	−	22.8281i	0.121479	−	0.844907i
$731$	−0.681467	−	1.49220i	−0.0252050	−	0.0551912i
$732$	−0.815595	−	5.67259i	−0.0301452	−	0.209665i
$733$	0.953132	−	0.612541i	0.0352047	−	0.0226247i	−0.522920	−	0.852382i	$-0.675157\pi$
$733$	0.953132	−	0.612541i	0.0352047	−	0.0226247i	0.558125	+	0.829757i	$0.311521\pi$
$734$	−14.3920	+	16.6093i	−0.531219	+	0.613059i
$735$	−1.69025			−0.0623458
$736$	2.51310	+	4.08465i	0.0926341	+	0.150562i
$737$	7.41301			0.273062
$738$	−0.551960	+	0.636996i	−0.0203179	+	0.0234481i
$739$	43.5011	−	27.9564i	1.60021	−	1.02839i	0.633092	−	0.774077i	$-0.281786\pi$
$739$	43.5011	−	27.9564i	1.60021	−	1.02839i	0.967121	−	0.254317i	$-0.0818507\pi$
$740$	−0.586740	−	4.08087i	−0.0215690	−	0.150016i
$741$	−8.78680	−	19.2404i	−0.322791	−	0.706814i
$742$	1.35402	−	9.41744i	0.0497078	−	0.345725i
$743$	24.7488	−	7.26690i	0.907945	−	0.266597i	0.205769	−	0.978601i	$-0.434030\pi$
$743$	24.7488	−	7.26690i	0.907945	−	0.266597i	0.702176	+	0.712004i	$0.252212\pi$
$744$	6.32605	+	4.06550i	0.231924	+	0.149049i
$745$	11.6687	−	25.5508i	0.427507	−	0.936110i
$746$	21.5627	+	6.33138i	0.789466	+	0.231808i
$747$	10.5969	+	12.2294i	0.387719	+	0.447452i
$748$	3.17097	+	3.65949i	0.115942	+	0.133804i
$749$	−1.43157	−	0.420347i	−0.0523084	−	0.0153591i
$750$	−5.01553	+	10.9825i	−0.183141	+	0.401024i
$751$	−24.6195	−	15.8220i	−0.898379	−	0.577353i	0.00793008	−	0.999969i	$-0.497476\pi$
$751$	−24.6195	−	15.8220i	−0.898379	−	0.577353i	−0.906309	+	0.422615i	$0.861112\pi$
$752$	11.0111	−	3.23314i	0.401532	−	0.117900i
$753$	−0.533761	+	3.71239i	−0.0194513	+	0.135287i
$754$	23.8080	+	52.1323i	0.867037	+	1.89855i
$755$	−0.968030	−	6.73280i	−0.0352302	−	0.245032i
$756$	−0.841254	+	0.540641i	−0.0305961	+	0.0196629i
$757$	27.1307	−	31.3104i	0.986080	−	1.13800i	−0.00435102	−	0.999991i	$-0.501385\pi$
$757$	27.1307	−	31.3104i	0.986080	−	1.13800i	0.990431	−	0.138007i	$-0.0440696\pi$
$758$	36.5043			1.32589
$759$	7.32240	−	6.09732i	0.265786	−	0.221319i
$760$	−5.17610			−0.187757
$761$	−29.8625	+	34.4631i	−1.08251	+	1.24929i	−0.115842	+	0.993268i	$0.536957\pi$
$761$	−29.8625	+	34.4631i	−1.08251	+	1.24929i	−0.966671	+	0.256020i	$0.917589\pi$
$762$	4.71689	−	3.03136i	0.170875	−	0.109815i
$763$	0.591704	+	4.11539i	0.0214211	+	0.148987i
$764$	3.38882	+	7.42047i	0.122603	+	0.268463i
$765$	0.586243	−	4.07741i	0.0211957	−	0.147419i
$766$	11.4793	−	3.37061i	0.414762	−	0.121785i
$767$	−14.5887	−	9.37561i	−0.526769	−	0.338534i
$768$	−0.415415	+	0.909632i	−0.0149900	+	0.0328235i
$769$	24.7496	+	7.26713i	0.892493	+	0.262059i	0.695655	−	0.718377i	$-0.255114\pi$
$769$	24.7496	+	7.26713i	0.892493	+	0.262059i	0.196838	+	0.980436i	$0.436933\pi$
$770$	2.19921	+	2.53802i	0.0792540	+	0.0914640i
$771$	4.17121	+	4.81383i	0.150222	+	0.173366i
$772$	25.8729	+	7.59698i	0.931187	+	0.273421i
$773$	−19.6495	+	43.0263i	−0.706742	+	1.54755i	0.124857	+	0.992175i	$0.460153\pi$
$773$	−19.6495	+	43.0263i	−0.706742	+	1.54755i	−0.831600	+	0.555375i	$0.812575\pi$
$774$	−0.566256	−	0.363911i	−0.0203537	−	0.0130805i
$775$	15.4625	−	4.54021i	0.555430	−	0.163089i
$776$	1.24094	−	8.63090i	0.0445470	−	0.309831i
$777$	−1.01327	−	2.21876i	−0.0363510	−	0.0795976i
$778$	−3.80647	−	26.4746i	−0.136469	−	0.949159i
$779$	−2.17139	+	1.39547i	−0.0777980	+	0.0499977i
$780$	7.64534	−	8.82319i	0.273747	−	0.315921i
$781$	1.89025			0.0676384
$782$	−11.5995	+	1.43588i	−0.414796	+	0.0513470i
$783$	8.29744			0.296526
$784$	−0.654861	+	0.755750i	−0.0233879	+	0.0269911i
$785$	18.8905	−	12.1402i	0.674232	−	0.433302i
$786$	−2.93696	−	20.4270i	−0.104758	−	0.728606i
$787$	−9.45672	−	20.7073i	−0.337096	−	0.738137i	0.662848	−	0.748754i	$-0.269348\pi$
$787$	−9.45672	−	20.7073i	−0.337096	−	0.738137i	−0.999944	+	0.0106173i	$0.996620\pi$
$788$	−1.12494	+	7.82412i	−0.0400743	+	0.278723i
$789$	13.5726	−	3.98526i	0.483196	−	0.141879i
$790$	−2.68331	−	1.72446i	−0.0954679	−	0.0613535i
$791$	−2.86207	+	6.26707i	−0.101764	+	0.222831i
$792$	1.90637	+	0.559762i	0.0677401	+	0.0198903i
$793$	25.9221	+	29.9157i	0.920520	+	1.06234i
$794$	13.6589	+	15.7633i	0.484738	+	0.559417i
$795$	15.4301	+	4.53069i	0.547249	+	0.160687i
$796$	10.5981	−	23.2066i	0.375640	−	0.822537i
$797$	−23.9671	−	15.4027i	−0.848958	−	0.545592i	0.0422916	−	0.999105i	$-0.486534\pi$
$797$	−23.9671	−	15.4027i	−0.848958	−	0.545592i	−0.891250	+	0.453513i	$0.850171\pi$
$798$	−2.93828	+	0.862758i	−0.104014	+	0.0305413i
$799$	−3.98028	+	27.6835i	−0.140812	+	0.979371i
$800$	0.890256	+	1.94939i	0.0314753	+	0.0689213i
$801$	0.577207	+	4.01456i	0.0203946	+	0.141848i
$802$	−29.7997	+	19.1511i	−1.05226	+	0.676249i
$803$	−17.7533	+	20.4883i	−0.626499	+	0.723018i
$804$	−3.73102			−0.131583
$805$	−8.04475	+	0.995848i	−0.283540	+	0.0350990i
$806$	−51.9400			−1.82951
$807$	−7.77569	+	8.97363i	−0.273717	+	0.315887i
$808$	7.06939	−	4.54322i	0.248700	−	0.159830i
$809$	−2.29951	−	15.9935i	−0.0808466	−	0.562300i	−0.989476	−	0.144697i	$-0.953779\pi$
$809$	−2.29951	−	15.9935i	−0.0808466	−	0.562300i	0.908629	−	0.417603i	$-0.137130\pi$
$810$	−0.702155	−	1.53751i	−0.0246712	−	0.0540225i
$811$	−2.76437	+	19.2266i	−0.0970703	+	0.675138i	0.881945	+	0.471352i	$0.156234\pi$
$811$	−2.76437	+	19.2266i	−0.0970703	+	0.675138i	−0.979015	+	0.203786i	$0.934675\pi$
$812$	7.96134	−	2.33766i	0.279388	−	0.0820358i
$813$	5.72361	+	3.67834i	0.200736	+	0.129005i
$814$	−2.01323	+	4.40836i	−0.0705637	+	0.154513i
$815$	10.3583	+	3.04146i	0.362834	+	0.106538i
$816$	−1.59597	−	1.84185i	−0.0558702	−	0.0644777i
$817$	−1.34985	−	1.55781i	−0.0472254	−	0.0545010i
$818$	11.2514	+	3.30371i	0.393397	+	0.115512i
$819$	2.86932	−	6.28293i	0.100262	−	0.219543i
$820$	−1.19850	−	0.770227i	−0.0418533	−	0.0268975i
$821$	43.4859	−	12.7686i	1.51767	−	0.445628i	0.586418	−	0.810008i	$-0.300537\pi$
$821$	43.4859	−	12.7686i	1.51767	−	0.445628i	0.931250	+	0.364381i	$0.118719\pi$
$822$	−1.52610	+	10.6143i	−0.0532288	+	0.370215i
$823$	16.0903	+	35.2329i	0.560873	+	1.22814i	0.951516	+	0.307599i	$0.0995254\pi$
$823$	16.0903	+	35.2329i	0.560873	+	1.22814i	−0.390643	+	0.920542i	$0.627747\pi$
$824$	−1.73994	−	12.1015i	−0.0606136	−	0.421577i
$825$	3.58201	−	2.30202i	0.124709	−	0.0801459i
$826$	−1.64416	+	1.89746i	−0.0572075	+	0.0660210i
$827$	14.1864			0.493310			0.246655	−	0.969103i	$-0.420669\pi$
$827$	14.1864			0.493310			0.246655	+	0.969103i	$0.420669\pi$
$828$	−3.68542	+	3.06883i	−0.128077	+	0.106649i
$829$	8.74696			0.303794			0.151897	−	0.988396i	$-0.451462\pi$
$829$	8.74696			0.303794			0.151897	+	0.988396i	$0.451462\pi$
$830$	−17.9114	+	20.6708i	−0.621713	+	0.717495i
$831$	3.90894	−	2.51212i	0.135600	−	0.0871446i
$832$	−0.982985	−	6.83681i	−0.0340789	−	0.237024i
$833$	−1.01242	−	2.21688i	−0.0350781	−	0.0768104i
$834$	−3.11219	+	21.6457i	−0.107766	+	0.749530i
$835$	−1.15279	+	0.338491i	−0.0398941	+	0.0117140i
$836$	5.11853	+	3.28948i	0.177028	+	0.113769i
$837$	−3.12383	+	6.84024i	−0.107975	+	0.236433i
$838$	4.98405	+	1.46345i	0.172171	+	0.0505540i
$839$	11.4095	+	13.1673i	0.393901	+	0.454585i	0.917711	−	0.397250i	$-0.130035\pi$
$839$	11.4095	+	13.1673i	0.393901	+	0.454585i	−0.523810	+	0.851835i	$0.675490\pi$
$840$	−1.10688	−	1.27741i	−0.0381909	−	0.0440747i
$841$	−38.2334	−	11.2264i	−1.31839	−	0.387116i
$842$	2.53977	−	5.56131i	0.0875261	−	0.191656i
$843$	−5.76238	−	3.70326i	−0.198467	−	0.127547i
$844$	−7.89260	+	2.31748i	−0.271674	+	0.0797708i
$845$	−8.34899	+	58.0685i	−0.287214	+	1.99762i
$846$	4.76727	+	10.4389i	0.163902	+	0.358895i
$847$	1.00366	+	6.98062i	0.0344862	+	0.239857i
$848$	8.00392	−	5.14381i	0.274856	−	0.176639i
$849$	−6.11983	+	7.06267i	−0.210032	+	0.242390i
$850$	−5.22287			−0.179143
$851$	−6.12991	−	9.96321i	−0.210131	−	0.341534i
$852$	−0.951376			−0.0325936
$853$	−29.5474	+	34.0995i	−1.01168	+	1.16755i	−0.0258773	+	0.999665i	$0.508238\pi$
$853$	−29.5474	+	34.0995i	−1.01168	+	1.16755i	−0.985807	+	0.167881i	$0.946308\pi$
$854$	4.82116	−	3.09837i	0.164977	−	0.106024i
$855$	−0.736636	−	5.12342i	−0.0251924	−	0.175217i
$856$	−0.619802	−	1.35718i	−0.0211844	−	0.0463873i
$857$	−2.76308	+	19.2177i	−0.0943852	+	0.656463i	0.886622	+	0.462494i	$0.153045\pi$
$857$	−2.76308	+	19.2177i	−0.0943852	+	0.656463i	−0.981008	+	0.193969i	$0.937864\pi$
$858$	−13.1676	+	3.86634i	−0.449533	+	0.131995i
$859$	28.7325	+	18.4652i	0.980339	+	0.630026i	0.929555	−	0.368684i	$-0.120191\pi$
$859$	28.7325	+	18.4652i	0.980339	+	0.630026i	0.0507845	+	0.998710i	$0.483828\pi$
$860$	0.472628	−	1.03491i	0.0161165	−	0.0352902i
$861$	−0.808724	−	0.237463i	−0.0275612	−	0.00809271i
$862$	−8.44247	−	9.74314i	−0.287552	−	0.331853i
$863$	−22.4038	−	25.8554i	−0.762635	−	0.880128i	0.233094	−	0.972454i	$-0.425115\pi$
$863$	−22.4038	−	25.8554i	−0.762635	−	0.880128i	−0.995729	+	0.0923267i	$0.970570\pi$
$864$	−0.959493	−	0.281733i	−0.0326426	−	0.00958474i
$865$	13.6706	−	29.9344i	0.464814	−	1.01780i
$866$	−31.7498	−	20.4043i	−1.07890	−	0.693367i
$867$	−10.6124	+	3.11609i	−0.360417	+	0.105828i
$868$	−1.07018	+	7.44325i	−0.0363242	+	0.252640i
$869$	1.55755	+	3.41056i	0.0528362	+	0.115695i
$870$	1.99593	+	13.8820i	0.0676684	+	0.470644i
$871$	21.6796	−	13.9326i	0.734586	−	0.472090i
$872$	−2.72272	+	3.14219i	−0.0922030	+	0.106408i
$873$	8.71966			0.295116
$874$	−13.4765	+	5.83745i	−0.455848	+	0.197455i
$875$	−12.0735			−0.408160
$876$	8.93535	−	10.3119i	0.301897	−	0.348408i
$877$	−21.7017	+	13.9468i	−0.732813	+	0.470950i	−0.853073	−	0.521792i	$-0.825264\pi$
$877$	−21.7017	+	13.9468i	−0.732813	+	0.470950i	0.120260	+	0.992742i	$0.461627\pi$
$878$	−0.530210	−	3.68769i	−0.0178937	−	0.124453i
$879$	7.31117	+	16.0092i	0.246600	+	0.539978i
$880$	−0.477934	+	3.32410i	−0.0161111	+	0.112055i
$881$	34.2296	−	10.0507i	1.15322	−	0.338617i	0.351427	−	0.936215i	$-0.385696\pi$
$881$	34.2296	−	10.0507i	1.15322	−	0.338617i	0.801796	+	0.597598i	$0.203878\pi$
$882$	−0.841254	−	0.540641i	−0.0283265	−	0.0182043i
$883$	10.8359	−	23.7272i	0.364656	−	0.798485i	−0.635006	−	0.772507i	$-0.719003\pi$
$883$	10.8359	−	23.7272i	0.364656	−	0.798485i	0.999663	−	0.0259785i	$-0.00827015\pi$
$884$	16.1516	+	4.74253i	0.543237	+	0.159509i
$885$	−2.77904	−	3.20718i	−0.0934163	−	0.107808i
$886$	22.0156	+	25.4073i	0.739628	+	0.853576i
$887$	−40.2379	−	11.8149i	−1.35106	−	0.396706i	−0.475456	−	0.879740i	$-0.657717\pi$
$887$	−40.2379	−	11.8149i	−1.35106	−	0.396706i	−0.875602	+	0.483033i	$0.839535\pi$
$888$	1.01327	−	2.21876i	0.0340033	−	0.0744567i
$889$	4.71689	+	3.03136i	0.158200	+	0.101669i
$890$	−6.57770	+	1.93139i	−0.220485	+	0.0647402i
$891$	−0.282759	+	1.96663i	−0.00947279	+	0.0658847i
$892$	2.35032	+	5.14647i	0.0786944	+	0.172317i
$893$	5.00137	+	34.7853i	0.167365	+	1.16405i
$894$	13.9803	−	8.98457i	0.467570	−	0.300489i
$895$	−2.84884	+	3.28774i	−0.0952262	+	0.109897i
$896$	−1.00000			−0.0334077
$897$	9.95481	−	31.5942i	0.332381	−	1.05490i
$898$	−30.6068			−1.02136
$899$	40.8600	−	47.1550i	1.36276	−	1.57271i
$900$	−1.80285	+	1.15862i	−0.0600950	+	0.0386207i
$901$	3.29991	+	22.9514i	0.109936	+	0.764622i
$902$	0.695677	+	1.52332i	0.0231635	+	0.0507210i
$903$	0.0957936	−	0.666259i	0.00318781	−	0.0221717i
$904$	−6.61059	+	1.94105i	−0.219865	+	0.0645582i
$905$	31.6894	+	20.3656i	1.05339	+	0.676974i
$906$	1.67174	−	3.66061i	0.0555400	−	0.121616i
$907$	21.3307	+	6.26327i	0.708275	+	0.207968i	0.615978	−	0.787763i	$-0.288761\pi$
$907$	21.3307	+	6.26327i	0.708275	+	0.207968i	0.0922969	+	0.995732i	$0.470579\pi$
$908$	−15.1766	−	17.5147i	−0.503652	−	0.581246i
$909$	5.50306	+	6.35087i	0.182525	+	0.210645i
$910$	11.2018	+	3.28916i	0.371338	+	0.109035i
$911$	−2.65748	+	5.81906i	−0.0880461	+	0.192794i	−0.948533	−	0.316679i	$-0.897432\pi$
$911$	−2.65748	+	5.81906i	−0.0880461	+	0.192794i	0.860487	+	0.509473i	$0.170160\pi$
$912$	−2.57619	−	1.65562i	−0.0853063	−	0.0548230i
$913$	30.8487	−	9.05800i	1.02094	−	0.299776i
$914$	3.17188	−	22.0609i	0.104917	−	0.729711i
$915$	4.02400	+	8.81132i	0.133029	+	0.291293i
$916$	1.28880	+	8.96383i	0.0425833	+	0.296173i
$917$	17.3610	−	11.1572i	0.573310	−	0.368444i
$918$	1.59597	−	1.84185i	0.0526750	−	0.0607901i
$919$	7.20185			0.237567			0.118784	−	0.992920i	$-0.462101\pi$
$919$	7.20185			0.237567			0.118784	+	0.992920i	$0.462101\pi$
$920$	−6.02081	−	5.42768i	−0.198500	−	0.178945i
$921$	20.2372			0.666838
$922$	−12.2251	+	14.1085i	−0.402612	+	0.464639i
$923$	5.52810	−	3.55270i	0.181960	−	0.116938i
$924$	0.282759	+	1.96663i	0.00930209	+	0.0646975i
$925$	−2.17150	−	4.75492i	−0.0713985	−	0.156341i
$926$	2.93167	−	20.3902i	0.0963405	−	0.670063i
$927$	11.7307	−	3.44446i	0.385288	−	0.113131i
$928$	6.98025	+	4.48594i	0.229138	+	0.147258i
$929$	−15.1305	+	33.1312i	−0.496416	+	1.08700i	0.481202	+	0.876610i	$0.340200\pi$
$929$	−15.1305	+	33.1312i	−0.496416	+	1.08700i	−0.977618	+	0.210389i	$0.932527\pi$
$930$	−12.1955	−	3.58091i	−0.399905	−	0.117423i
$931$	−2.00540	−	2.31435i	−0.0657243	−	0.0758499i
$932$	−0.663607	−	0.765844i	−0.0217372	−	0.0250860i
$933$	−10.6564	−	3.12899i	−0.348874	−	0.102439i
$934$	−13.1181	+	28.7247i	−0.429238	+	0.939900i
$935$	−6.88527	−	4.42490i	−0.225172	−	0.144710i
$936$	6.62733	−	1.94596i	0.216621	−	0.0636057i
$937$	5.65256	−	39.3144i	0.184661	−	1.28435i	−0.660903	−	0.750472i	$-0.729826\pi$
$937$	5.65256	−	39.3144i	0.184661	−	1.28435i	0.845564	−	0.533874i	$-0.179265\pi$
$938$	−1.54992	−	3.39386i	−0.0506068	−	0.110813i
$939$	3.43692	+	23.9043i	0.112160	+	0.780088i
$940$	−16.3179	+	10.4869i	−0.532232	+	0.342045i
$941$	−30.7743	+	35.5155i	−1.00321	+	1.15777i	−0.0157584	+	0.999876i	$0.505016\pi$
$941$	−30.7743	+	35.5155i	−1.00321	+	1.15777i	−0.987456	+	0.157895i	$0.949529\pi$
$942$	13.2851			0.432853
$943$	−3.98903	−	0.653728i	−0.129901	−	0.0212883i
$944$	−2.51070			−0.0817162
$945$	1.10688	−	1.27741i	0.0360068	−	0.0415540i
$946$	−1.12507	+	0.723039i	−0.0365792	+	0.0235080i
$947$	1.94195	+	13.5065i	0.0631047	+	0.438903i	0.996740	+	0.0806785i	$0.0257087\pi$
$947$	1.94195	+	13.5065i	0.0631047	+	0.438903i	−0.933635	+	0.358225i	$0.883382\pi$
$948$	−0.783926	−	1.71656i	−0.0254607	−	0.0557512i
$949$	−13.4125	+	93.2859i	−0.435388	+	3.02819i
$950$	−6.29690	+	1.84894i	−0.204298	+	0.0599874i
$951$	5.64300	+	3.62653i	0.182987	+	0.117598i
$952$	1.01242	−	2.21688i	0.0328126	−	0.0718495i
$953$	20.9695	+	6.15721i	0.679270	+	0.199452i	0.603127	−	0.797645i	$-0.293921\pi$
$953$	20.9695	+	6.15721i	0.679270	+	0.199452i	0.0761429	+	0.997097i	$0.475739\pi$
$954$	6.23053	+	7.19041i	0.201721	+	0.232798i
$955$	−9.02954	−	10.4206i	−0.292189	−	0.337204i
$956$	3.13238	+	0.919749i	0.101308	+	0.0297468i
$957$	6.84846	−	14.9960i	0.221379	−	0.484753i
$958$	5.84498	+	3.75634i	0.188843	+	0.121362i
$959$	−10.2890	+	3.02113i	−0.332250	+	0.0975575i
$960$	0.240548	−	1.67305i	0.00776364	−	0.0539973i
$961$	10.6127	+	23.2386i	0.342345	+	0.749631i
$962$	2.39768	+	16.6762i	0.0773044	+	0.537664i
$963$	1.25516	−	0.806639i	0.0404468	−	0.0259936i
$964$	11.1115	−	12.8234i	0.357878	−	0.413013i
$965$	−45.5780			−1.46721
$966$	−4.32248	−	2.07754i	−0.139074	−	0.0668437i
$967$	−43.9932			−1.41473			−0.707363	−	0.706850i	$-0.750115\pi$
$967$	−43.9932			−1.41473			−0.707363	+	0.706850i	$0.750115\pi$
$968$	−4.61834	+	5.32985i	−0.148439	+	0.171308i
$969$	6.27849	−	4.03494i	0.201694	−	0.129621i
$970$	2.09749	+	14.5884i	0.0673465	+	0.468405i
$971$	−1.06899	−	2.34077i	−0.0343057	−	0.0751189i	0.891703	−	0.452620i	$-0.149511\pi$
$971$	−1.06899	−	2.34077i	−0.0343057	−	0.0751189i	−0.926009	+	0.377501i	$0.876783\pi$
$972$	0.142315	−	0.989821i	0.00456475	−	0.0317485i
$973$	−20.9825	+	6.16102i	−0.672668	+	0.197513i
$974$	16.0853	+	10.3374i	0.515407	+	0.331232i
$975$	6.14910	−	13.4647i	0.196929	−	0.431214i
$976$	5.49878	+	1.61459i	0.176012	+	0.0516816i
$977$	38.0412	+	43.9019i	1.21705	+	1.40454i	0.887755	+	0.460316i	$0.152264\pi$
$977$	38.0412	+	43.9019i	1.21705	+	1.40454i	0.329290	+	0.944229i	$0.393191\pi$
$978$	4.18257	+	4.82694i	0.133744	+	0.154349i
$979$	7.73196	+	2.27031i	0.247114	+	0.0725594i
$980$	0.702155	−	1.53751i	0.0224295	−	0.0491138i
$981$	−3.49769	−	2.24783i	−0.111673	−	0.0717676i
$982$	12.7049	−	3.73048i	0.405428	−	0.119044i
$983$	−3.26709	+	22.7231i	−0.104204	+	0.724754i	0.869000	+	0.494812i	$0.164763\pi$
$983$	−3.26709	+	22.7231i	−0.104204	+	0.724754i	−0.973204	+	0.229943i	$0.926146\pi$
$984$	−0.350139	−	0.766698i	−0.0111620	−	0.0244414i
$985$	−1.90143	−	13.2247i	−0.0605846	−	0.421375i
$986$	−17.0117	+	10.9328i	−0.541763	+	0.348170i
$987$	−7.51513	+	8.67292i	−0.239209	+	0.276062i
$988$	21.1519			0.672930
$989$	0.0633887	−	3.22750i	0.00201564	−	0.102629i
$990$	−3.35829			−0.106733
$991$	16.3565	−	18.8764i	0.519580	−	0.599628i	−0.433945	−	0.900939i	$-0.642879\pi$
$991$	16.3565	−	18.8764i	0.519580	−	0.599628i	0.953526	+	0.301311i	$0.0974244\pi$
$992$	−6.32605	+	4.06550i	−0.200852	+	0.129080i
$993$	3.04657	+	21.1893i	0.0966799	+	0.672423i
$994$	−0.395216	−	0.865402i	−0.0125355	−	0.0274489i
$995$	−6.13688	+	42.6829i	−0.194552	+	1.35314i
$996$	−15.5264	+	4.55896i	−0.491973	+	0.144456i
$997$	−12.7236	−	8.17693i	−0.402959	−	0.258966i	0.323427	−	0.946253i	$-0.395165\pi$
$997$	−12.7236	−	8.17693i	−0.402959	−	0.258966i	−0.726386	+	0.687287i	$0.758801\pi$
$998$	−14.2587	+	31.2222i	−0.451352	+	0.988322i
$999$	2.34038	+	0.687198i	0.0740464	+	0.0217420i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.h.85.2	✓	30
23.13	even	11	inner	966.2.q.h.841.2	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.h.85.2	✓	30	1.1	even	1	trivial
966.2.q.h.841.2	yes	30	23.13	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.702155 + 1.53751i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.702155 + 1.53751i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +(1.62178 + 0.476199i) q^{10} +(-1.30111 - 1.50157i) q^{11} +(0.654861 + 0.755750i) q^{12} +(-6.62733 - 1.94596i) q^{13} +(-0.415415 + 0.909632i) q^{14} +(-1.42193 - 0.913818i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.346838 - 2.41231i) q^{17} +(-0.415415 - 0.909632i) q^{18} +(-0.435815 - 3.03116i) q^{19} +(1.42193 - 0.913818i) q^{20} +(0.654861 - 0.755750i) q^{21} -1.98686 q^{22} +(2.67155 - 3.98282i) q^{23} +1.00000 q^{24} +(1.40340 - 1.61961i) q^{25} +(-5.81064 + 3.73427i) q^{26} +(0.142315 + 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(1.18085 - 8.21299i) q^{29} +(-1.62178 + 0.476199i) q^{30} +(6.32605 + 4.06550i) q^{31} +(-0.415415 + 0.909632i) q^{32} +(1.90637 + 0.559762i) q^{33} +(-1.59597 - 1.84185i) q^{34} +(-1.10688 - 1.27741i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(1.01327 - 2.21876i) q^{37} +(-2.57619 - 1.65562i) q^{38} +(6.62733 - 1.94596i) q^{39} +(0.240548 - 1.67305i) q^{40} +(-0.350139 - 0.766698i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(0.566256 - 0.363911i) q^{43} +(-1.30111 + 1.50157i) q^{44} +1.69025 q^{45} +(-1.26052 - 4.62721i) q^{46} -11.4759 q^{47} +(0.654861 - 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(-0.304988 - 2.12124i) q^{50} +(1.01242 + 2.21688i) q^{51} +(-0.982985 + 6.83681i) q^{52} +(-9.12888 + 2.68048i) q^{53} +(0.841254 + 0.540641i) q^{54} +(1.39508 - 3.05480i) q^{55} +(0.959493 + 0.281733i) q^{56} +(2.00540 + 2.31435i) q^{57} +(-5.43367 - 6.27079i) q^{58} +(2.40899 + 0.707345i) q^{59} +(-0.702155 + 1.53751i) q^{60} +(-4.82116 - 3.09837i) q^{61} +(7.21518 - 2.11857i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-1.66149 - 11.5559i) q^{65} +(1.67145 - 1.07418i) q^{66} +(-2.44330 + 2.81972i) q^{67} -2.43712 q^{68} +(-0.0941729 + 4.79491i) q^{69} -1.69025 q^{70} +(-0.623019 + 0.719002i) q^{71} +(-0.841254 + 0.540641i) q^{72} +(-1.94184 - 13.5058i) q^{73} +(-1.01327 - 2.21876i) q^{74} +(-0.304988 + 2.12124i) q^{75} +(-2.93828 + 0.862758i) q^{76} +(1.67145 + 1.07418i) q^{77} +(2.86932 - 6.28293i) q^{78} +(-1.81065 - 0.531655i) q^{79} +(-1.10688 - 1.27741i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-0.808724 - 0.237463i) q^{82} +(-6.72219 + 14.7196i) q^{83} +(-0.841254 - 0.540641i) q^{84} +(3.95248 - 1.16055i) q^{85} +(0.0957936 - 0.666259i) q^{86} +(3.44688 + 7.54762i) q^{87} +(0.282759 + 1.96663i) q^{88} +(-3.41199 + 2.19275i) q^{89} +(1.10688 - 1.27741i) q^{90} +6.90712 q^{91} +(-4.32248 - 2.07754i) q^{92} -7.51979 q^{93} +(-7.51513 + 8.67292i) q^{94} +(4.35441 - 2.79841i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(3.62228 + 7.93168i) q^{97} +(0.142315 - 0.989821i) q^{98} +(-1.90637 + 0.559762i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9} + 12 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} + 3 q^{14} + q^{15} - 3 q^{16} + 13 q^{17} + 3 q^{18} - 18 q^{19} - q^{20} + 3 q^{21} + 24 q^{22} + 21 q^{23} + 30 q^{24} - 3 q^{25} + 34 q^{26} + 3 q^{27} - 3 q^{28} - 11 q^{29} - 12 q^{30} + 7 q^{31} + 3 q^{32} + 2 q^{33} - 13 q^{34} - q^{35} - 3 q^{36} + 3 q^{37} - 15 q^{38} + 12 q^{39} + q^{40} + 15 q^{41} - 3 q^{42} + 42 q^{43} + 9 q^{44} + 10 q^{45} + q^{46} + 12 q^{47} + 3 q^{48} - 3 q^{49} - 30 q^{50} + 9 q^{51} - q^{52} - 28 q^{53} - 3 q^{54} + 4 q^{55} + 3 q^{56} - 4 q^{57} - 11 q^{58} + 3 q^{59} - 10 q^{60} - 2 q^{61} + 26 q^{62} - 3 q^{63} - 3 q^{64} - 70 q^{65} - 2 q^{66} + 24 q^{67} + 2 q^{68} + q^{69} - 10 q^{70} - 3 q^{71} + 3 q^{72} - 7 q^{73} - 3 q^{74} - 30 q^{75} - 18 q^{76} - 2 q^{77} + 10 q^{78} - 32 q^{79} - q^{80} - 3 q^{81} - 26 q^{82} + 8 q^{83} + 3 q^{84} - 39 q^{85} + 35 q^{86} - 11 q^{87} + 13 q^{88} + 50 q^{89} + q^{90} + 32 q^{91} - 12 q^{92} + 4 q^{93} + 10 q^{94} + 73 q^{95} - 3 q^{96} + 24 q^{97} + 3 q^{98} - 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9 + 12 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 + 3 * q^14 + q^15 - 3 * q^16 + 13 * q^17 + 3 * q^18 - 18 * q^19 - q^20 + 3 * q^21 + 24 * q^22 + 21 * q^23 + 30 * q^24 - 3 * q^25 + 34 * q^26 + 3 * q^27 - 3 * q^28 - 11 * q^29 - 12 * q^30 + 7 * q^31 + 3 * q^32 + 2 * q^33 - 13 * q^34 - q^35 - 3 * q^36 + 3 * q^37 - 15 * q^38 + 12 * q^39 + q^40 + 15 * q^41 - 3 * q^42 + 42 * q^43 + 9 * q^44 + 10 * q^45 + q^46 + 12 * q^47 + 3 * q^48 - 3 * q^49 - 30 * q^50 + 9 * q^51 - q^52 - 28 * q^53 - 3 * q^54 + 4 * q^55 + 3 * q^56 - 4 * q^57 - 11 * q^58 + 3 * q^59 - 10 * q^60 - 2 * q^61 + 26 * q^62 - 3 * q^63 - 3 * q^64 - 70 * q^65 - 2 * q^66 + 24 * q^67 + 2 * q^68 + q^69 - 10 * q^70 - 3 * q^71 + 3 * q^72 - 7 * q^73 - 3 * q^74 - 30 * q^75 - 18 * q^76 - 2 * q^77 + 10 * q^78 - 32 * q^79 - q^80 - 3 * q^81 - 26 * q^82 + 8 * q^83 + 3 * q^84 - 39 * q^85 + 35 * q^86 - 11 * q^87 + 13 * q^88 + 50 * q^89 + q^90 + 32 * q^91 - 12 * q^92 + 4 * q^93 + 10 * q^94 + 73 * q^95 - 3 * q^96 + 24 * q^97 + 3 * q^98 - 2 * q^99

Introduction

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