LMFDB - Embedded newform 690.2.m.a.271.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [690,2,Mod(31,690)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(690, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 6]))

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

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

chi := DirichletCharacter("690.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 690 = 2 \cdot 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	690.m (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:	$5.50967773947$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			271.1
Root			$0.654861 + 0.755750i$ of defining polynomial
Character	$\chi$	$=$	690.271
Dual form			690.2.m.a.331.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 - 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.142315 - 0.989821i) q^{5} +(0.841254 - 0.540641i) q^{6} +(-1.24302 - 2.72183i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(-0.959493 - 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.142315 - 0.989821i) q^{5} +(0.841254 - 0.540641i) q^{6} +(-1.24302 - 2.72183i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(-0.415415 + 0.909632i) q^{10} +(-2.90255 + 0.852267i) q^{11} +(-0.959493 + 0.281733i) q^{12} +(-2.32398 + 5.08880i) q^{13} +(0.425839 + 2.96177i) q^{14} +(0.654861 + 0.755750i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.15486 - 1.38484i) q^{17} +(-0.142315 + 0.989821i) q^{18} +(4.20574 + 2.70286i) q^{19} +(0.654861 - 0.755750i) q^{20} +(2.87102 + 0.843008i) q^{21} +3.02509 q^{22} +(-4.04911 + 2.56996i) q^{23} +1.00000 q^{24} +(-0.959493 - 0.281733i) q^{25} +(3.66352 - 4.22793i) q^{26} +(0.841254 + 0.540641i) q^{27} +(0.425839 - 2.96177i) q^{28} +(-0.575708 + 0.369985i) q^{29} +(-0.415415 - 0.909632i) q^{30} +(4.81305 + 5.55455i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(1.25667 - 2.75172i) q^{33} +(-2.45773 + 0.721655i) q^{34} +(-2.87102 + 0.843008i) q^{35} +(0.415415 - 0.909632i) q^{36} +(0.504587 + 3.50948i) q^{37} +(-3.27389 - 3.77827i) q^{38} +(-2.32398 - 5.08880i) q^{39} +(-0.841254 + 0.540641i) q^{40} +(-0.414383 + 2.88210i) q^{41} +(-2.51722 - 1.61772i) q^{42} +(-6.05965 + 6.99321i) q^{43} +(-2.90255 - 0.852267i) q^{44} -1.00000 q^{45} +(4.60914 - 1.32509i) q^{46} -7.62455 q^{47} +(-0.959493 - 0.281733i) q^{48} +(-1.27923 + 1.47631i) q^{49} +(0.841254 + 0.540641i) q^{50} +(-0.364538 + 2.53542i) q^{51} +(-4.70627 + 3.02453i) q^{52} +(-2.27541 - 4.98245i) q^{53} +(-0.654861 - 0.755750i) q^{54} +(0.430515 + 2.99430i) q^{55} +(-1.24302 + 2.72183i) q^{56} +(-4.79686 + 1.40849i) q^{57} +(0.656624 - 0.192802i) q^{58} +(-5.20719 + 11.4021i) q^{59} +(0.142315 + 0.989821i) q^{60} +(8.84419 + 10.2067i) q^{61} +(-3.05319 - 6.68555i) q^{62} +(-2.51722 + 1.61772i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(4.70627 + 3.02453i) q^{65} +(-1.98101 + 2.28621i) q^{66} +(-2.15353 - 0.632333i) q^{67} +2.56149 q^{68} +(0.709362 - 4.74308i) q^{69} +2.99223 q^{70} +(-6.54316 - 1.92124i) q^{71} +(-0.654861 + 0.755750i) q^{72} +(2.45763 + 1.57942i) q^{73} +(0.504587 - 3.50948i) q^{74} +(0.841254 - 0.540641i) q^{75} +(2.07681 + 4.54759i) q^{76} +(5.92765 + 6.84087i) q^{77} +(0.796159 + 5.53741i) q^{78} +(2.28519 - 5.00387i) q^{79} +(0.959493 - 0.281733i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(1.20958 - 2.64861i) q^{82} +(-0.408281 - 2.83966i) q^{83} +(1.95949 + 2.26138i) q^{84} +(-1.06408 - 2.33001i) q^{85} +(7.78441 - 5.00274i) q^{86} +(0.0973924 - 0.677379i) q^{87} +(2.54487 + 1.63549i) q^{88} +(1.92565 - 2.22232i) q^{89} +(0.959493 + 0.281733i) q^{90} +16.7396 q^{91} +(-4.79575 - 0.0271313i) q^{92} -7.34973 q^{93} +(7.31570 + 2.14808i) q^{94} +(3.27389 - 3.77827i) q^{95} +(0.841254 + 0.540641i) q^{96} +(1.06318 - 7.39460i) q^{97} +(1.64333 - 1.05610i) q^{98} +(1.25667 + 2.75172i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - q^{2} - q^{3} - q^{4} + q^{5} - q^{6} - q^{8} - q^{9}+O(q^{10}) $ 10 * q - q^2 - q^3 - q^4 + q^5 - q^6 - q^8 - q^9	$ 10 q - q^{2} - q^{3} - q^{4} + q^{5} - q^{6} - q^{8} - q^{9} + q^{10} - 2 q^{11} - q^{12} + q^{15} - q^{16} + 16 q^{17} - q^{18} + 18 q^{19} + q^{20} + 20 q^{22} - q^{23} + 10 q^{24} - q^{25} + 11 q^{26} - q^{27} + 22 q^{29} + q^{30} + 8 q^{31} - q^{32} - 2 q^{33} + 5 q^{34} - q^{36} - 16 q^{37} - 4 q^{38} + q^{40} - 9 q^{41} - 11 q^{42} + 2 q^{43} - 2 q^{44} - 10 q^{45} - q^{46} - 48 q^{47} - q^{48} + 7 q^{49} - q^{50} - 17 q^{51} + 2 q^{53} - q^{54} - 9 q^{55} - 15 q^{57} + 22 q^{58} - 22 q^{59} + q^{60} + 13 q^{61} + 8 q^{62} - 11 q^{63} - q^{64} - 13 q^{66} + 2 q^{67} - 6 q^{68} - q^{69} - 45 q^{71} - q^{72} + 21 q^{73} - 16 q^{74} - q^{75} - 4 q^{76} + 22 q^{77} + 11 q^{78} + 66 q^{79} + q^{80} - q^{81} + 57 q^{82} + 15 q^{83} + 11 q^{84} - 5 q^{85} + 24 q^{86} - 2 q^{88} + 29 q^{89} + q^{90} + 22 q^{91} - 12 q^{92} - 58 q^{93} + 7 q^{94} + 4 q^{95} - q^{96} - 27 q^{97} + 7 q^{98} - 2 q^{99}+O(q^{100}) $ 10 * q - q^2 - q^3 - q^4 + q^5 - q^6 - q^8 - q^9 + q^10 - 2 * q^11 - q^12 + q^15 - q^16 + 16 * q^17 - q^18 + 18 * q^19 + q^20 + 20 * q^22 - q^23 + 10 * q^24 - q^25 + 11 * q^26 - q^27 + 22 * q^29 + q^30 + 8 * q^31 - q^32 - 2 * q^33 + 5 * q^34 - q^36 - 16 * q^37 - 4 * q^38 + q^40 - 9 * q^41 - 11 * q^42 + 2 * q^43 - 2 * q^44 - 10 * q^45 - q^46 - 48 * q^47 - q^48 + 7 * q^49 - q^50 - 17 * q^51 + 2 * q^53 - q^54 - 9 * q^55 - 15 * q^57 + 22 * q^58 - 22 * q^59 + q^60 + 13 * q^61 + 8 * q^62 - 11 * q^63 - q^64 - 13 * q^66 + 2 * q^67 - 6 * q^68 - q^69 - 45 * q^71 - q^72 + 21 * q^73 - 16 * q^74 - q^75 - 4 * q^76 + 22 * q^77 + 11 * q^78 + 66 * q^79 + q^80 - q^81 + 57 * q^82 + 15 * q^83 + 11 * q^84 - 5 * q^85 + 24 * q^86 - 2 * q^88 + 29 * q^89 + q^90 + 22 * q^91 - 12 * q^92 - 58 * q^93 + 7 * q^94 + 4 * q^95 - q^96 - 27 * q^97 + 7 * q^98 - 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$1$	$1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−0.959493	−	0.281733i	−0.678464	−	0.199215i
$2$	−0.959493	−	0.281733i	−0.678464	−	0.199215i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	0.142315	−	0.989821i	0.0636451	−	0.442662i
$5$	0.142315	−	0.989821i	0.0636451	−	0.442662i
$6$	0.841254	−	0.540641i	0.343440	−	0.220716i
$7$	−1.24302	−	2.72183i	−0.469816	−	1.02875i	−0.985139	−	0.171758i	$-0.945055\pi$
$7$	−1.24302	−	2.72183i	−0.469816	−	1.02875i	0.515323	−	0.856996i	$-0.327672\pi$
$8$	−0.654861	−	0.755750i	−0.231528	−	0.267198i
$9$	−0.142315	−	0.989821i	−0.0474383	−	0.329940i
$10$	−0.415415	+	0.909632i	−0.131366	+	0.287651i
$11$	−2.90255	+	0.852267i	−0.875153	+	0.256968i	−0.688306	−	0.725421i	$-0.741645\pi$
$11$	−2.90255	+	0.852267i	−0.875153	+	0.256968i	−0.186847	+	0.982389i	$0.559827\pi$
$12$	−0.959493	+	0.281733i	−0.276982	+	0.0813292i
$13$	−2.32398	+	5.08880i	−0.644555	+	1.41138i	0.251684	+	0.967809i	$0.419016\pi$
$13$	−2.32398	+	5.08880i	−0.644555	+	1.41138i	−0.896240	+	0.443570i	$0.853712\pi$
$14$	0.425839	+	2.96177i	0.113810	+	0.791567i
$15$	0.654861	+	0.755750i	0.169084	+	0.195134i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	2.15486	−	1.38484i	0.522630	−	0.335874i	−0.252581	−	0.967576i	$-0.581280\pi$
$17$	2.15486	−	1.38484i	0.522630	−	0.335874i	0.775212	+	0.631701i	$0.217643\pi$
$18$	−0.142315	+	0.989821i	−0.0335439	+	0.233303i
$19$	4.20574	+	2.70286i	0.964862	+	0.620079i	0.925340	−	0.379139i	$-0.123780\pi$
$19$	4.20574	+	2.70286i	0.964862	+	0.620079i	0.0395228	+	0.999219i	$0.487416\pi$
$20$	0.654861	−	0.755750i	0.146431	−	0.168991i
$21$	2.87102	+	0.843008i	0.626508	+	0.183959i
$22$	3.02509			0.644952
$23$	−4.04911	+	2.56996i	−0.844299	+	0.535873i
$23$	−4.04911	+	2.56996i	−0.844299	+	0.535873i
$24$	1.00000			0.204124
$25$	−0.959493	−	0.281733i	−0.191899	−	0.0563465i
$26$	3.66352	−	4.22793i	0.718476	−	0.829165i
$27$	0.841254	+	0.540641i	0.161899	+	0.104046i
$28$	0.425839	−	2.96177i	0.0804759	−	0.559722i
$29$	−0.575708	+	0.369985i	−0.106906	+	0.0687044i	−0.593001	−	0.805201i	$-0.702057\pi$
$29$	−0.575708	+	0.369985i	−0.106906	+	0.0687044i	0.486095	+	0.873906i	$0.338421\pi$
$30$	−0.415415	−	0.909632i	−0.0758441	−	0.166075i
$31$	4.81305	+	5.55455i	0.864449	+	0.997627i	0.999977	+	0.00685356i	$0.00218157\pi$
$31$	4.81305	+	5.55455i	0.864449	+	0.997627i	−0.135528	+	0.990774i	$0.543273\pi$
$32$	−0.142315	−	0.989821i	−0.0251579	−	0.174977i
$33$	1.25667	−	2.75172i	0.218758	−	0.479013i
$34$	−2.45773	+	0.721655i	−0.421497	+	0.123763i
$35$	−2.87102	+	0.843008i	−0.485291	+	0.142494i
$36$	0.415415	−	0.909632i	0.0692358	−	0.151605i
$37$	0.504587	+	3.50948i	0.0829536	+	0.576955i	0.988328	+	0.152341i	$0.0486812\pi$
$37$	0.504587	+	3.50948i	0.0829536	+	0.576955i	−0.905374	+	0.424614i	$0.860410\pi$
$38$	−3.27389	−	3.77827i	−0.531095	−	0.612917i
$39$	−2.32398	−	5.08880i	−0.372134	−	0.814860i
$40$	−0.841254	+	0.540641i	−0.133014	+	0.0854828i
$41$	−0.414383	+	2.88210i	−0.0647158	+	0.450108i	0.931539	+	0.363642i	$0.118467\pi$
$41$	−0.414383	+	2.88210i	−0.0647158	+	0.450108i	−0.996255	+	0.0864668i	$0.972442\pi$
$42$	−2.51722	−	1.61772i	−0.388416	−	0.249620i
$43$	−6.05965	+	6.99321i	−0.924089	+	1.06646i	0.0735168	+	0.997294i	$0.476578\pi$
$43$	−6.05965	+	6.99321i	−0.924089	+	1.06646i	−0.997605	+	0.0691612i	$0.977968\pi$
$44$	−2.90255	−	0.852267i	−0.437577	−	0.128484i
$45$	−1.00000			−0.149071
$46$	4.60914	−	1.32509i	0.679580	−	0.195374i
$47$	−7.62455			−1.11216			−0.556078	−	0.831130i	$-0.687694\pi$
$47$	−7.62455			−1.11216			−0.556078	+	0.831130i	$0.687694\pi$
$48$	−0.959493	−	0.281733i	−0.138491	−	0.0406646i
$49$	−1.27923	+	1.47631i	−0.182747	+	0.210901i
$50$	0.841254	+	0.540641i	0.118971	+	0.0764582i
$51$	−0.364538	+	2.53542i	−0.0510455	+	0.355029i
$52$	−4.70627	+	3.02453i	−0.652642	+	0.419427i
$53$	−2.27541	−	4.98245i	−0.312552	−	0.684392i	0.686536	−	0.727096i	$-0.259130\pi$
$53$	−2.27541	−	4.98245i	−0.312552	−	0.684392i	−0.999088	+	0.0427031i	$0.986403\pi$
$54$	−0.654861	−	0.755750i	−0.0891153	−	0.102844i
$55$	0.430515	+	2.99430i	0.0580507	+	0.403751i
$56$	−1.24302	+	2.72183i	−0.166105	+	0.363719i
$57$	−4.79686	+	1.40849i	−0.635360	+	0.186558i
$58$	0.656624	−	0.192802i	0.0862190	−	0.0253162i
$59$	−5.20719	+	11.4021i	−0.677918	+	1.48443i	0.186916	+	0.982376i	$0.440151\pi$
$59$	−5.20719	+	11.4021i	−0.677918	+	1.48443i	−0.864834	+	0.502057i	$0.832577\pi$
$60$	0.142315	+	0.989821i	0.0183728	+	0.127785i
$61$	8.84419	+	10.2067i	1.13238	+	1.30684i	0.945928	+	0.324376i	$0.105154\pi$
$61$	8.84419	+	10.2067i	1.13238	+	1.30684i	0.186455	+	0.982464i	$0.440300\pi$
$62$	−3.05319	−	6.68555i	−0.387755	−	0.849065i
$63$	−2.51722	+	1.61772i	−0.317140	+	0.203814i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	4.70627	+	3.02453i	0.583741	+	0.375147i
$66$	−1.98101	+	2.28621i	−0.243846	+	0.281413i
$67$	−2.15353	−	0.632333i	−0.263096	−	0.0772518i	0.147524	−	0.989058i	$-0.452870\pi$
$67$	−2.15353	−	0.632333i	−0.263096	−	0.0772518i	−0.410620	+	0.911807i	$0.634688\pi$
$68$	2.56149			0.310626
$69$	0.709362	−	4.74308i	0.0853972	−	0.571000i
$70$	2.99223			0.357640
$71$	−6.54316	−	1.92124i	−0.776530	−	0.228010i	−0.130629	−	0.991431i	$-0.541700\pi$
$71$	−6.54316	−	1.92124i	−0.776530	−	0.228010i	−0.645901	+	0.763421i	$0.723518\pi$
$72$	−0.654861	+	0.755750i	−0.0771761	+	0.0890659i
$73$	2.45763	+	1.57942i	0.287644	+	0.184858i	0.676503	−	0.736440i	$-0.263494\pi$
$73$	2.45763	+	1.57942i	0.287644	+	0.184858i	−0.388859	+	0.921297i	$0.627131\pi$
$74$	0.504587	−	3.50948i	0.0586571	−	0.407969i
$75$	0.841254	−	0.540641i	0.0971396	−	0.0624278i
$76$	2.07681	+	4.54759i	0.238227	+	0.521644i
$77$	5.92765	+	6.84087i	0.675518	+	0.779589i
$78$	0.796159	+	5.53741i	0.0901473	+	0.626988i
$79$	2.28519	−	5.00387i	0.257104	−	0.562979i	−0.736430	−	0.676514i	$-0.763490\pi$
$79$	2.28519	−	5.00387i	0.257104	−	0.562979i	0.993534	+	0.113535i	$0.0362173\pi$
$80$	0.959493	−	0.281733i	0.107275	−	0.0314987i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	1.20958	−	2.64861i	0.133576	−	0.292490i
$83$	−0.408281	−	2.83966i	−0.0448147	−	0.311693i	−0.999883	−	0.0153067i	$-0.995128\pi$
$83$	−0.408281	−	2.83966i	−0.0448147	−	0.311693i	0.955068	−	0.296386i	$-0.0957815\pi$
$84$	1.95949	+	2.26138i	0.213798	+	0.246736i
$85$	−1.06408	−	2.33001i	−0.115416	−	0.252725i
$86$	7.78441	−	5.00274i	0.839415	−	0.539459i
$87$	0.0973924	−	0.677379i	0.0104416	−	0.0726227i
$88$	2.54487	+	1.63549i	0.271284	+	0.174344i
$89$	1.92565	−	2.22232i	0.204119	−	0.235565i	−0.644456	−	0.764642i	$-0.722916\pi$
$89$	1.92565	−	2.22232i	0.204119	−	0.235565i	0.848574	+	0.529076i	$0.177461\pi$
$90$	0.959493	+	0.281733i	0.101139	+	0.0296972i
$91$	16.7396			1.75478
$92$	−4.79575	−	0.0271313i	−0.499992	−	0.00282863i
$93$	−7.34973			−0.762131
$94$	7.31570	+	2.14808i	0.754557	+	0.221558i
$95$	3.27389	−	3.77827i	0.335894	−	0.387643i
$96$	0.841254	+	0.540641i	0.0858601	+	0.0551789i
$97$	1.06318	−	7.39460i	0.107950	−	0.750808i	−0.861895	−	0.507086i	$-0.830723\pi$
$97$	1.06318	−	7.39460i	0.107950	−	0.750808i	0.969845	−	0.243722i	$-0.0783683\pi$
$98$	1.64333	−	1.05610i	0.166002	−	0.106683i
$99$	1.25667	+	2.75172i	0.126300	+	0.276558i
$100$	−0.654861	−	0.755750i	−0.0654861	−	0.0755750i
$101$	0.979217	+	6.81060i	0.0974357	+	0.677680i	0.978736	+	0.205124i	$0.0657597\pi$
$101$	0.979217	+	6.81060i	0.0974357	+	0.677680i	−0.881300	+	0.472557i	$0.843331\pi$
$102$	1.06408	−	2.33001i	0.105360	−	0.230706i
$103$	−14.4145	+	4.23248i	−1.42030	+	0.417039i	−0.899606	−	0.436703i	$-0.856146\pi$
$103$	−14.4145	+	4.23248i	−1.42030	+	0.417039i	−0.520697	+	0.853741i	$0.674328\pi$
$104$	5.36774	−	1.57611i	0.526350	−	0.154550i
$105$	1.24302	−	2.72183i	0.121306	−	0.265623i
$106$	0.779521	+	5.42168i	0.0757137	+	0.526601i
$107$	−6.16589	−	7.11582i	−0.596080	−	0.687912i	0.374903	−	0.927064i	$-0.377676\pi$
$107$	−6.16589	−	7.11582i	−0.596080	−	0.687912i	−0.970982	+	0.239152i	$0.923131\pi$
$108$	0.415415	+	0.909632i	0.0399733	+	0.0875294i
$109$	−9.36325	+	6.01740i	−0.896837	+	0.576362i	−0.905851	−	0.423597i	$-0.860767\pi$
$109$	−9.36325	+	6.01740i	−0.896837	+	0.576362i	0.00901380	+	0.999959i	$0.497131\pi$
$110$	0.430515	−	2.99430i	0.0410480	−	0.285495i
$111$	−2.98272	−	1.91688i	−0.283108	−	0.181942i
$112$	1.95949	−	2.26138i	0.185155	−	0.213680i
$113$	10.3546	+	3.04037i	0.974076	+	0.286014i	0.729777	−	0.683686i	$-0.239624\pi$
$113$	10.3546	+	3.04037i	0.974076	+	0.286014i	0.244299	+	0.969700i	$0.421442\pi$
$114$	4.99937			0.468234
$115$	1.96755	+	4.37364i	0.183475	+	0.407844i
$116$	−0.684345			−0.0635398
$117$	5.36774	+	1.57611i	0.496248	+	0.145711i
$118$	8.20862	−	9.47325i	0.755664	−	0.872083i
$119$	−6.44784	−	4.14377i	−0.591072	−	0.379859i
$120$	0.142315	−	0.989821i	0.0129915	−	0.0903579i
$121$	−1.55533	+	0.999547i	−0.141393	+	0.0908679i
$122$	−5.61037	−	12.2850i	−0.507939	−	1.11223i
$123$	−1.90678	−	2.20054i	−0.171929	−	0.198416i
$124$	1.04598	+	7.27492i	0.0939313	+	0.653307i
$125$	−0.415415	+	0.909632i	−0.0371558	+	0.0813600i
$126$	2.87102	−	0.843008i	0.255771	−	0.0751011i
$127$	−9.46676	+	2.77969i	−0.840039	+	0.246658i	−0.673324	−	0.739347i	$-0.735134\pi$
$127$	−9.46676	+	2.77969i	−0.840039	+	0.246658i	−0.166715	+	0.986005i	$0.553316\pi$
$128$	0.415415	−	0.909632i	0.0367178	−	0.0804009i
$129$	−1.31689	−	9.15916i	−0.115946	−	0.806419i
$130$	−3.66352	−	4.22793i	−0.321312	−	0.370814i
$131$	−2.20012	−	4.81759i	−0.192225	−	0.420915i	0.788838	−	0.614601i	$-0.210683\pi$
$131$	−2.20012	−	4.81759i	−0.192225	−	0.420915i	−0.981064	+	0.193686i	$0.937956\pi$
$132$	2.54487	−	1.63549i	0.221502	−	0.142351i
$133$	2.12892	−	14.8070i	0.184601	−	1.28393i
$134$	1.88815	+	1.21344i	0.163111	+	0.104825i
$135$	0.654861	−	0.755750i	0.0563614	−	0.0650446i
$136$	−2.45773	−	0.721655i	−0.210749	−	0.0618814i
$137$	9.61085			0.821110			0.410555	−	0.911836i	$-0.365335\pi$
$137$	9.61085			0.821110			0.410555	+	0.911836i	$0.365335\pi$
$138$	−2.01691	+	4.35110i	−0.171691	+	0.370390i
$139$	−16.9568			−1.43825			−0.719127	−	0.694879i	$-0.755458\pi$
$139$	−16.9568			−1.43825			−0.719127	+	0.694879i	$0.755458\pi$
$140$	−2.87102	−	0.843008i	−0.242646	−	0.0712472i
$141$	4.99302	−	5.76225i	0.420488	−	0.485269i
$142$	5.73684	+	3.68684i	0.481425	+	0.309393i
$143$	2.40845	−	16.7512i	0.201405	−	1.40080i
$144$	0.841254	−	0.540641i	0.0701045	−	0.0450534i
$145$	0.284287	+	0.622502i	0.0236088	+	0.0516960i
$146$	−1.91311	−	2.20784i	−0.158330	−	0.182722i
$147$	−0.278002	−	1.93355i	−0.0229292	−	0.159476i
$148$	−1.47288	+	3.22516i	−0.121070	+	0.265107i
$149$	2.00509	−	0.588747i	0.164263	−	0.0482321i	−0.198567	−	0.980087i	$-0.563629\pi$
$149$	2.00509	−	0.588747i	0.164263	−	0.0482321i	0.362830	+	0.931855i	$0.381811\pi$
$150$	−0.959493	+	0.281733i	−0.0783423	+	0.0230034i
$151$	7.89041	−	17.2776i	0.642113	−	1.40603i	−0.256178	−	0.966630i	$-0.582463\pi$
$151$	7.89041	−	17.2776i	0.642113	−	1.40603i	0.898291	−	0.439401i	$-0.144809\pi$
$152$	−0.711485	−	4.94848i	−0.0577090	−	0.401375i
$153$	−1.67742	−	1.93584i	−0.135611	−	0.156504i
$154$	−3.76024	−	8.23378i	−0.303009	−	0.663497i
$155$	6.18298	−	3.97356i	0.496629	−	0.319164i
$156$	0.796159	−	5.53741i	0.0637437	−	0.443348i
$157$	13.1142	+	8.42801i	1.04663	+	0.672629i	0.946618	−	0.322357i	$-0.104475\pi$
$157$	13.1142	+	8.42801i	1.04663	+	0.672629i	0.100013	+	0.994986i	$0.468112\pi$
$158$	−3.60238	+	4.15736i	−0.286590	+	0.330742i
$159$	5.25556	+	1.54317i	0.416793	+	0.122382i
$160$	−1.00000			−0.0790569
$161$	12.0281	+	7.82649i	0.947946	+	0.616814i
$162$	1.00000			0.0785674
$163$	19.9612	+	5.86114i	1.56348	+	0.459080i	0.945096	−	0.326793i	$-0.105968\pi$
$163$	19.9612	+	5.86114i	1.56348	+	0.459080i	0.618387	+	0.785873i	$0.287786\pi$
$164$	−1.90678	+	2.20054i	−0.148895	+	0.171834i
$165$	−2.54487	−	1.63549i	−0.198118	−	0.127323i
$166$	−0.408281	+	2.83966i	−0.0316888	+	0.220400i
$167$	−1.05042	+	0.675063i	−0.0812838	+	0.0522379i	−0.580651	−	0.814152i	$-0.697202\pi$
$167$	−1.05042	+	0.675063i	−0.0812838	+	0.0522379i	0.499368	+	0.866390i	$0.333566\pi$
$168$	−1.24302	−	2.72183i	−0.0959008	−	0.209993i
$169$	−11.9818	−	13.8278i	−0.921679	−	1.06367i
$170$	0.364538	+	2.53542i	0.0279588	+	0.194458i
$171$	2.07681	−	4.54759i	0.158818	−	0.347763i
$172$	−8.87852	+	2.60697i	−0.676981	+	0.198780i
$173$	5.56728	−	1.63470i	0.423273	−	0.124284i	−0.0631574	−	0.998004i	$-0.520117\pi$
$173$	5.56728	−	1.63470i	0.423273	−	0.124284i	0.486430	+	0.873719i	$0.338299\pi$
$174$	−0.284287	+	0.622502i	−0.0215518	+	0.0471918i
$175$	0.425839	+	2.96177i	0.0321904	+	0.223889i
$176$	−1.98101	−	2.28621i	−0.149325	−	0.172330i
$177$	−5.20719	−	11.4021i	−0.391396	−	0.857038i
$178$	−2.47375	+	1.58978i	−0.185415	+	0.119159i
$179$	3.28155	−	22.8237i	0.245274	−	1.70592i	−0.379563	−	0.925166i	$-0.623926\pi$
$179$	3.28155	−	22.8237i	0.245274	−	1.70592i	0.624837	−	0.780755i	$-0.285165\pi$
$180$	−0.841254	−	0.540641i	−0.0627033	−	0.0402970i
$181$	4.29499	−	4.95668i	0.319244	−	0.368427i	−0.573333	−	0.819323i	$-0.694350\pi$
$181$	4.29499	−	4.95668i	0.319244	−	0.368427i	0.892577	+	0.450895i	$0.148895\pi$
$182$	−16.0615	−	4.71608i	−1.19056	−	0.349579i
$183$	−13.5055			−0.998352
$184$	4.59385	+	1.37715i	0.338663	+	0.101525i
$185$	3.54557			0.260676
$186$	7.05201	+	2.07066i	0.517079	+	0.151828i
$187$	−5.07434	+	5.85610i	−0.371073	+	0.428241i
$188$	−6.41418	−	4.12214i	−0.467802	−	0.300638i
$189$	0.425839	−	2.96177i	0.0309752	−	0.215437i
$190$	−4.20574	+	2.70286i	−0.305116	+	0.196086i
$191$	9.50026	+	20.8027i	0.687415	+	1.50523i	0.854591	+	0.519302i	$0.173808\pi$
$191$	9.50026	+	20.8027i	0.687415	+	1.50523i	−0.167176	+	0.985927i	$0.553465\pi$
$192$	−0.654861	−	0.755750i	−0.0472605	−	0.0545415i
$193$	−3.08416	−	21.4508i	−0.222003	−	1.54406i	−0.730447	−	0.682969i	$-0.760688\pi$
$193$	−3.08416	−	21.4508i	−0.222003	−	1.54406i	0.508444	−	0.861095i	$-0.330221\pi$
$194$	−3.10342	+	6.79553i	−0.222812	+	0.487891i
$195$	−5.36774	+	1.57611i	−0.384392	+	0.112868i
$196$	−1.87430	+	0.550345i	−0.133879	+	0.0393104i
$197$	−8.16696	+	17.8832i	−0.581872	+	1.27412i	0.358359	+	0.933584i	$0.383337\pi$
$197$	−8.16696	+	17.8832i	−0.581872	+	1.27412i	−0.940231	+	0.340538i	$0.889391\pi$
$198$	−0.430515	−	2.99430i	−0.0305954	−	0.212796i
$199$	−4.70330	−	5.42790i	−0.333408	−	0.384774i	0.564148	−	0.825674i	$-0.309205\pi$
$199$	−4.70330	−	5.42790i	−0.333408	−	0.384774i	−0.897556	+	0.440900i	$0.854659\pi$
$200$	0.415415	+	0.909632i	0.0293743	+	0.0643207i
$201$	1.88815	−	1.21344i	0.133180	−	0.0855894i
$202$	0.979217	−	6.81060i	0.0688975	−	0.479192i
$203$	1.72265	+	1.10708i	0.120906	+	0.0777017i
$204$	−1.67742	+	1.93584i	−0.117443	+	0.135536i
$205$	2.79379	+	0.820331i	0.195127	+	0.0572944i
$206$	15.0230			1.04670
$207$	3.12005	+	3.64216i	0.216858	+	0.253147i
$208$	−5.59435			−0.387898
$209$	−14.5109	−	4.26080i	−1.00374	−	0.294726i
$210$	−1.95949	+	2.26138i	−0.135218	+	0.156050i
$211$	−15.8142	−	10.1632i	−1.08870	−	0.699662i	−0.132146	−	0.991230i	$-0.542187\pi$
$211$	−15.8142	−	10.1632i	−1.08870	−	0.699662i	−0.956550	+	0.291568i	$0.905823\pi$
$212$	0.779521	−	5.42168i	0.0535377	−	0.372363i
$213$	5.73684	−	3.68684i	0.393082	−	0.252618i
$214$	3.91137	+	8.56471i	0.267376	+	0.585472i
$215$	6.05965	+	6.99321i	0.413265	+	0.476933i
$216$	−0.142315	−	0.989821i	−0.00968330	−	0.0673488i
$217$	9.13583	−	20.0047i	0.620181	−	1.35801i
$218$	10.6793	−	3.13572i	0.723291	−	0.212378i
$219$	−2.80306	+	0.823052i	−0.189413	+	0.0556167i
$220$	−1.25667	+	2.75172i	−0.0847246	+	0.185521i
$221$	2.03935	+	14.1840i	0.137182	+	0.954119i
$222$	2.32186	+	2.67956i	0.155833	+	0.179841i
$223$	6.74620	+	14.7721i	0.451759	+	0.989214i	0.989289	+	0.145969i	$0.0466301\pi$
$223$	6.74620	+	14.7721i	0.451759	+	0.989214i	−0.537530	+	0.843244i	$0.680643\pi$
$224$	−2.51722	+	1.61772i	−0.168189	+	0.108089i
$225$	−0.142315	+	0.989821i	−0.00948766	+	0.0659881i
$226$	−9.07856	−	5.83444i	−0.603897	−	0.388101i
$227$	3.90748	−	4.50948i	0.259349	−	0.299304i	−0.611110	−	0.791546i	$-0.709277\pi$
$227$	3.90748	−	4.50948i	0.259349	−	0.299304i	0.870459	+	0.492241i	$0.163822\pi$
$228$	−4.79686	−	1.40849i	−0.317680	−	0.0932792i
$229$	1.08309			0.0715724			0.0357862	−	0.999359i	$-0.488606\pi$
$229$	1.08309			0.0715724			0.0357862	+	0.999359i	$0.488606\pi$
$230$	−0.655652	−	4.75080i	−0.0432324	−	0.313259i
$231$	−9.05177			−0.595562
$232$	0.656624	+	0.192802i	0.0431095	+	0.0126581i
$233$	−2.44828	+	2.82547i	−0.160392	+	0.185103i	−0.830257	−	0.557380i	$-0.811807\pi$
$233$	−2.44828	+	2.82547i	−0.160392	+	0.185103i	0.669865	+	0.742483i	$0.266352\pi$
$234$	−4.70627	−	3.02453i	−0.307658	−	0.197720i
$235$	−1.08509	+	7.54695i	−0.0707833	+	0.492308i
$236$	−10.5450	+	6.77688i	−0.686423	+	0.441137i
$237$	2.28519	+	5.00387i	0.148439	+	0.325036i
$238$	5.01922	+	5.79249i	0.325348	+	0.375471i
$239$	1.45467	+	10.1174i	0.0940948	+	0.654443i	0.981217	+	0.192908i	$0.0617920\pi$
$239$	1.45467	+	10.1174i	0.0940948	+	0.654443i	−0.887122	+	0.461535i	$0.847299\pi$
$240$	−0.415415	+	0.909632i	−0.0268149	+	0.0587165i
$241$	24.6317	−	7.23253i	1.58667	−	0.465888i	0.634872	−	0.772617i	$-0.281053\pi$
$241$	24.6317	−	7.23253i	1.58667	−	0.465888i	0.951797	+	0.306729i	$0.0992346\pi$
$242$	1.77393	−	0.520873i	0.114033	−	0.0334830i
$243$	0.415415	−	0.909632i	0.0266489	−	0.0583529i
$244$	1.92203	+	13.3680i	0.123045	+	0.855798i
$245$	1.27923	+	1.47631i	0.0817267	+	0.0943177i
$246$	1.20958	+	2.64861i	0.0771200	+	0.168869i
$247$	−23.5284	+	15.1208i	−1.49707	+	0.962111i
$248$	1.04598	−	7.27492i	0.0664195	−	0.461958i
$249$	2.41344	+	1.55102i	0.152945	+	0.0982920i
$250$	0.654861	−	0.755750i	0.0414170	−	0.0477978i
$251$	13.8275	+	4.06013i	0.872786	+	0.256273i	0.687300	−	0.726374i	$-0.258796\pi$
$251$	13.8275	+	4.06013i	0.872786	+	0.256273i	0.185486	+	0.982647i	$0.440614\pi$
$252$	−2.99223			−0.188493
$253$	9.56248	−	10.9104i	0.601188	−	0.685929i
$254$	9.86642			0.619074
$255$	2.45773	+	0.721655i	0.153909	+	0.0451918i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−18.1036	−	11.6345i	−1.12927	−	0.725738i	−0.163863	−	0.986483i	$-0.552395\pi$
$257$	−18.1036	−	11.6345i	−1.12927	−	0.725738i	−0.965408	+	0.260745i	$0.916032\pi$
$258$	−1.31689	+	9.15916i	−0.0819859	+	0.570225i
$259$	8.92499	−	5.73574i	0.554572	−	0.356402i
$260$	2.32398	+	5.08880i	0.144127	+	0.315594i
$261$	0.448151	+	0.517193i	0.0277398	+	0.0320135i
$262$	0.753727	+	5.24229i	0.0465654	+	0.323870i
$263$	−10.3508	+	22.6651i	−0.638258	+	1.39759i	0.263207	+	0.964739i	$0.415220\pi$
$263$	−10.3508	+	22.6651i	−0.638258	+	1.39759i	−0.901465	+	0.432851i	$0.857508\pi$
$264$	−2.90255	+	0.852267i	−0.178640	+	0.0524534i
$265$	−5.25556	+	1.54317i	−0.322847	+	0.0947963i
$266$	−6.21430	+	13.6074i	−0.381023	+	0.834324i
$267$	0.418484	+	2.91062i	0.0256108	+	0.178127i
$268$	−1.46980	−	1.69624i	−0.0897823	−	0.103614i
$269$	−4.56203	−	9.98946i	−0.278152	−	0.609068i	0.718064	−	0.695977i	$-0.245028\pi$
$269$	−4.56203	−	9.98946i	−0.278152	−	0.609068i	−0.996216	+	0.0869087i	$0.972301\pi$
$270$	−0.841254	+	0.540641i	−0.0511971	+	0.0329024i
$271$	4.26414	−	29.6577i	0.259028	−	1.80158i	−0.280759	−	0.959778i	$-0.590586\pi$
$271$	4.26414	−	29.6577i	0.259028	−	1.80158i	0.539787	−	0.841802i	$-0.318505\pi$
$272$	2.15486	+	1.38484i	0.130658	+	0.0839686i
$273$	−10.9621	+	12.6509i	−0.663456	+	0.765669i
$274$	−9.22154	−	2.70769i	−0.557094	−	0.163577i
$275$	3.02509			0.182420
$276$	3.16106	−	3.60662i	0.190273	−	0.217093i
$277$	1.58644			0.0953200			0.0476600	−	0.998864i	$-0.484824\pi$
$277$	1.58644			0.0953200			0.0476600	+	0.998864i	$0.484824\pi$
$278$	16.2699	+	4.77727i	0.975803	+	0.286522i
$279$	4.81305	−	5.55455i	0.288150	−	0.332542i
$280$	2.51722	+	1.61772i	0.150433	+	0.0966773i
$281$	1.25589	−	8.73492i	0.0749203	−	0.521082i	−0.917456	−	0.397837i	$-0.869761\pi$
$281$	1.25589	−	8.73492i	0.0749203	−	0.521082i	0.992376	−	0.123245i	$-0.0393300\pi$
$282$	−6.41418	+	4.12214i	−0.381959	+	0.245470i
$283$	−3.40447	−	7.45474i	−0.202375	−	0.443138i	0.781047	−	0.624472i	$-0.214686\pi$
$283$	−3.40447	−	7.45474i	−0.202375	−	0.443138i	−0.983422	+	0.181334i	$0.941959\pi$
$284$	−4.46575	−	5.15375i	−0.264994	−	0.305819i
$285$	0.711485	+	4.94848i	0.0421447	+	0.293123i
$286$	−7.03025	+	15.3941i	−0.415707	+	0.910272i
$287$	8.35966	−	2.45462i	0.493455	−	0.144892i
$288$	−0.959493	+	0.281733i	−0.0565387	+	0.0166013i
$289$	−4.33643	+	9.49545i	−0.255084	+	0.558556i
$290$	−0.0973924	−	0.677379i	−0.00571908	−	0.0397771i
$291$	4.89223	+	5.64593i	0.286788	+	0.330970i
$292$	1.21359	+	2.65739i	0.0710200	+	0.155512i
$293$	−4.20023	+	2.69933i	−0.245380	+	0.157696i	−0.657550	−	0.753411i	$-0.728407\pi$
$293$	−4.20023	+	2.69933i	−0.245380	+	0.157696i	0.412170	+	0.911107i	$0.364771\pi$
$294$	−0.278002	+	1.93355i	−0.0162134	+	0.112767i
$295$	10.5450	+	6.77688i	0.613955	+	0.394565i
$296$	2.32186	−	2.67956i	0.134955	−	0.155746i
$297$	−2.90255	−	0.852267i	−0.168423	−	0.0494535i
$298$	−2.08974			−0.121055
$299$	−3.66795	−	26.5777i	−0.212123	−	1.53703i
$300$	1.00000			0.0577350
$301$	26.5666	+	7.80065i	1.53127	+	0.449622i
$302$	−12.4385	+	14.3547i	−0.715753	+	0.826023i
$303$	−5.78836	−	3.71995i	−0.332533	−	0.213706i
$304$	−0.711485	+	4.94848i	−0.0408064	+	0.283815i
$305$	11.3615	−	7.30160i	0.650558	−	0.418089i
$306$	1.06408	+	2.33001i	0.0608294	+	0.133198i
$307$	6.49010	+	7.48998i	0.370410	+	0.427476i	0.910100	−	0.414388i	$-0.136004\pi$
$307$	6.49010	+	7.48998i	0.370410	+	0.427476i	−0.539691	+	0.841863i	$0.681459\pi$
$308$	1.28820	+	8.95963i	0.0734020	+	0.510522i
$309$	6.24080	−	13.6654i	0.355027	−	0.777400i
$310$	−7.05201	+	2.07066i	−0.400527	+	0.117605i
$311$	−33.2888	+	9.77446i	−1.88763	+	0.554259i	−0.893097	+	0.449864i	$0.851472\pi$
$311$	−33.2888	+	9.77446i	−1.88763	+	0.554259i	−0.994536	+	0.104395i	$0.966710\pi$
$312$	−2.32398	+	5.08880i	−0.131569	+	0.288097i
$313$	0.582230	+	4.04950i	0.0329096	+	0.228891i	0.999638	−	0.0269147i	$-0.00856826\pi$
$313$	0.582230	+	4.04950i	0.0329096	+	0.228891i	−0.966728	+	0.255806i	$0.917659\pi$
$314$	−10.2086	−	11.7813i	−0.576104	−	0.664859i
$315$	1.24302	+	2.72183i	0.0700361	+	0.153358i
$316$	4.62772	−	2.97405i	0.260330	−	0.167304i
$317$	−4.78735	+	33.2968i	−0.268885	+	1.87013i	0.190207	+	0.981744i	$0.439084\pi$
$317$	−4.78735	+	33.2968i	−0.268885	+	1.87013i	−0.459091	+	0.888389i	$0.651825\pi$
$318$	−4.60791	−	2.96133i	−0.258399	−	0.166063i
$319$	1.35570	−	1.56456i	0.0759044	−	0.0875984i
$320$	0.959493	+	0.281733i	0.0536373	+	0.0157493i
$321$	9.41558			0.525527
$322$	−9.33589	−	10.8982i	−0.520269	−	0.607331i
$323$	12.8058			0.712535
$324$	−0.959493	−	0.281733i	−0.0533052	−	0.0156518i
$325$	3.66352	−	4.22793i	0.203216	−	0.234523i
$326$	−17.5014	−	11.2474i	−0.969311	−	0.622939i
$327$	1.58398	−	11.0168i	0.0875943	−	0.609232i
$328$	2.44951	−	1.57420i	0.135252	−	0.0869209i
$329$	9.47745	+	20.7527i	0.522508	+	1.14413i
$330$	1.98101	+	2.28621i	0.109051	+	0.125852i
$331$	3.97455	+	27.6436i	0.218461	+	1.51943i	0.743723	+	0.668488i	$0.233058\pi$
$331$	3.97455	+	27.6436i	0.218461	+	1.51943i	−0.525262	+	0.850941i	$0.676033\pi$
$332$	1.19177	−	2.60960i	0.0654067	−	0.143221i
$333$	3.40195	−	0.998903i	0.186426	−	0.0547395i
$334$	1.19806	−	0.351781i	0.0655547	−	0.0192486i
$335$	−0.932376	+	2.04162i	−0.0509412	+	0.111546i
$336$	0.425839	+	2.96177i	0.0232314	+	0.161578i
$337$	−2.30353	−	2.65841i	−0.125481	−	0.144813i	0.689533	−	0.724255i	$-0.257816\pi$
$337$	−2.30353	−	2.65841i	−0.125481	−	0.144813i	−0.815014	+	0.579442i	$0.803271\pi$
$338$	7.60075	+	16.6433i	0.413426	+	0.905277i
$339$	−9.07856	+	5.83444i	−0.493080	+	0.316883i
$340$	0.364538	−	2.53542i	0.0197698	−	0.137502i
$341$	−18.7041	−	12.0204i	−1.01288	−	0.650941i
$342$	−3.27389	+	3.77827i	−0.177032	+	0.204306i
$343$	−14.4888	−	4.25430i	−0.782322	−	0.229711i
$344$	9.25335			0.498907
$345$	−4.59385	−	1.37715i	−0.247325	−	0.0741434i
$346$	−5.80232			−0.311935
$347$	29.5920	+	8.68900i	1.58858	+	0.466450i	0.952340	−	0.305039i	$-0.0986694\pi$
$347$	29.5920	+	8.68900i	1.58858	+	0.466450i	0.636243	+	0.771489i	$0.280488\pi$
$348$	0.448151	−	0.517193i	0.0240234	−	0.0277245i
$349$	−17.3378	−	11.1423i	−0.928071	−	0.596435i	−0.0130820	−	0.999914i	$-0.504164\pi$
$349$	−17.3378	−	11.1423i	−0.928071	−	0.596435i	−0.914989	+	0.403480i	$0.867801\pi$
$350$	0.425839	−	2.96177i	0.0227620	−	0.158313i
$351$	−4.70627	+	3.02453i	−0.251202	+	0.161438i
$352$	1.25667	+	2.75172i	0.0669807	+	0.146667i
$353$	9.73896	+	11.2394i	0.518352	+	0.598210i	0.953218	−	0.302285i	$-0.0977495\pi$
$353$	9.73896	+	11.2394i	0.518352	+	0.598210i	−0.434865	+	0.900496i	$0.643204\pi$
$354$	1.78390	+	12.4073i	0.0948134	+	0.659441i
$355$	−2.83288	+	6.20314i	−0.150354	+	0.329228i
$356$	2.82144	−	0.828449i	0.149536	−	0.0439077i
$357$	7.35409	−	2.15936i	0.389220	−	0.114285i
$358$	−9.57879	+	20.9746i	−0.506255	+	1.10854i
$359$	3.58406	+	24.9277i	0.189160	+	1.31563i	0.834190	+	0.551477i	$0.185936\pi$
$359$	3.58406	+	24.9277i	0.189160	+	1.31563i	−0.645031	+	0.764157i	$0.723155\pi$
$360$	0.654861	+	0.755750i	0.0345142	+	0.0398315i
$361$	2.48987	+	5.45207i	0.131046	+	0.286951i
$362$	−5.51747	+	3.54586i	−0.289992	+	0.186366i
$363$	0.263114	−	1.83000i	0.0138099	−	0.0960502i
$364$	14.0822	+	9.05010i	0.738109	+	0.474354i
$365$	1.91311	−	2.20784i	0.100137	−	0.115564i
$366$	12.9584	+	3.80493i	0.677346	+	0.198887i
$367$	−0.444300			−0.0231922			−0.0115961	−	0.999933i	$-0.503691\pi$
$367$	−0.444300			−0.0231922			−0.0115961	+	0.999933i	$0.503691\pi$
$368$	−4.01978	−	2.61561i	−0.209545	−	0.136348i
$369$	2.91174			0.151579
$370$	−3.40195	−	0.998903i	−0.176859	−	0.0519305i
$371$	−10.7330	+	12.3865i	−0.557230	+	0.643077i
$372$	−6.18298	−	3.97356i	−0.320573	−	0.206020i
$373$	1.84551	−	12.8358i	0.0955569	−	0.664613i	−0.884594	−	0.466361i	$-0.845565\pi$
$373$	1.84551	−	12.8358i	0.0955569	−	0.664613i	0.980151	−	0.198252i	$-0.0635263\pi$
$374$	6.51865	−	4.18928i	0.337071	−	0.216623i
$375$	−0.415415	−	0.909632i	−0.0214519	−	0.0469732i
$376$	4.99302	+	5.76225i	0.257495	+	0.297165i
$377$	−0.544847	−	3.78950i	−0.0280611	−	0.195169i
$378$	−1.24302	+	2.72183i	−0.0639339	+	0.139996i
$379$	−26.7936	+	7.86731i	−1.37630	+	0.404117i	−0.884478	−	0.466582i	$-0.845485\pi$
$379$	−26.7936	+	7.86731i	−1.37630	+	0.404117i	−0.491817	+	0.870698i	$0.663667\pi$
$380$	4.79686	−	1.40849i	0.246074	−	0.0722538i
$381$	4.09866	−	8.97481i	0.209981	−	0.459794i
$382$	−3.25464	−	22.6366i	−0.166522	−	1.15819i
$383$	6.75360	+	7.79406i	0.345093	+	0.398258i	0.901590	−	0.432591i	$-0.142401\pi$
$383$	6.75360	+	7.79406i	0.345093	+	0.398258i	−0.556498	+	0.830849i	$0.687855\pi$
$384$	0.415415	+	0.909632i	0.0211991	+	0.0464195i
$385$	7.61483	−	4.89375i	0.388088	−	0.249409i
$386$	−3.08416	+	21.4508i	−0.156980	+	1.09182i
$387$	7.78441	+	5.00274i	0.395704	+	0.254303i
$388$	4.89223	−	5.64593i	0.248365	−	0.286629i
$389$	6.02499	+	1.76910i	0.305479	+	0.0896968i	0.430880	−	0.902409i	$-0.358203\pi$
$389$	6.02499	+	1.76910i	0.305479	+	0.0896968i	−0.125400	+	0.992106i	$0.540022\pi$
$390$	5.59435			0.283281
$391$	−5.16629	+	11.1453i	−0.261270	+	0.563642i
$392$	1.95343			0.0986632
$393$	5.08166	+	1.49211i	0.256336	+	0.0752670i
$394$	12.8744	−	14.8579i	0.648604	−	0.748528i
$395$	−4.62772	−	2.97405i	−0.232846	−	0.149641i
$396$	−0.430515	+	2.99430i	−0.0216342	+	0.150469i
$397$	−5.77910	+	3.71400i	−0.290045	+	0.186400i	−0.677569	−	0.735459i	$-0.736967\pi$
$397$	−5.77910	+	3.71400i	−0.290045	+	0.186400i	0.387525	+	0.921859i	$0.373330\pi$
$398$	2.98357	+	6.53310i	0.149553	+	0.327475i
$399$	9.79623	+	11.3055i	0.490425	+	0.565981i
$400$	−0.142315	−	0.989821i	−0.00711574	−	0.0494911i
$401$	1.50679	−	3.29940i	0.0752453	−	0.164764i	−0.868271	−	0.496090i	$-0.834769\pi$
$401$	1.50679	−	3.29940i	0.0752453	−	0.164764i	0.943516	+	0.331326i	$0.107496\pi$
$402$	−2.15353	+	0.632333i	−0.107408	+	0.0315379i
$403$	−39.4514	+	11.5840i	−1.96522	+	0.577039i
$404$	−2.85832	+	6.25885i	−0.142207	+	0.311389i
$405$	0.142315	+	0.989821i	0.00707168	+	0.0491846i
$406$	−1.34097	−	1.54756i	−0.0665512	−	0.0768041i
$407$	−4.45561	−	9.75642i	−0.220856	−	0.483608i
$408$	2.15486	−	1.38484i	0.106682	−	0.0685600i
$409$	−2.10761	+	14.6587i	−0.104215	+	0.724828i	0.868980	+	0.494846i	$0.164776\pi$
$409$	−2.10761	+	14.6587i	−0.104215	+	0.724828i	−0.973195	+	0.229982i	$0.926133\pi$
$410$	−2.44951	−	1.57420i	−0.120973	−	0.0777444i
$411$	−6.29377	+	7.26339i	−0.310449	+	0.358277i
$412$	−14.4145	−	4.23248i	−0.710152	−	0.208519i
$413$	37.5073			1.84561
$414$	−1.96755	−	4.37364i	−0.0966998	−	0.214953i
$415$	−2.86886			−0.140827
$416$	5.36774	+	1.57611i	0.263175	+	0.0772752i
$417$	11.1043	−	12.8151i	0.543781	−	0.627556i
$418$	12.7227	+	8.17641i	0.622290	+	0.399921i
$419$	3.36041	−	23.3722i	0.164167	−	1.14181i	−0.726505	−	0.687161i	$-0.758857\pi$
$419$	3.36041	−	23.3722i	0.164167	−	1.14181i	0.890672	−	0.454646i	$-0.150234\pi$
$420$	2.51722	−	1.61772i	0.122828	−	0.0789367i
$421$	−14.8684	−	32.5572i	−0.724641	−	1.58674i	−0.807284	−	0.590163i	$-0.799063\pi$
$421$	−14.8684	−	32.5572i	−0.724641	−	1.58674i	0.0826429	−	0.996579i	$-0.473664\pi$
$422$	12.3103	+	14.2069i	0.599258	+	0.691580i
$423$	1.08509	+	7.54695i	0.0527587	+	0.366945i
$424$	−2.27541	+	4.98245i	−0.110504	+	0.241969i
$425$	−2.45773	+	0.721655i	−0.119217	+	0.0350054i
$426$	−6.54316	+	1.92124i	−0.317017	+	0.0930846i
$427$	16.7875	−	36.7595i	0.812405	−	1.77892i
$428$	−1.33998	−	9.31974i	−0.0647702	−	0.450487i
$429$	11.0825	+	12.7899i	0.535068	+	0.617501i
$430$	−3.84398	−	8.41714i	−0.185373	−	0.405911i
$431$	−28.1022	+	18.0602i	−1.35364	+	0.869928i	−0.997907	−	0.0646612i	$-0.979403\pi$
$431$	−28.1022	+	18.0602i	−1.35364	+	0.869928i	−0.355728	+	0.934590i	$0.615767\pi$
$432$	−0.142315	+	0.989821i	−0.00684713	+	0.0476228i
$433$	−23.8520	−	15.3287i	−1.14625	−	0.736652i	−0.177363	−	0.984146i	$-0.556757\pi$
$433$	−23.8520	−	15.3287i	−1.14625	−	0.736652i	−0.968889	+	0.247494i	$0.920393\pi$
$434$	−14.4017	+	16.6205i	−0.691306	+	0.797809i
$435$	−0.656624	−	0.192802i	−0.0314827	−	0.00924416i
$436$	−11.1301			−0.533036
$437$	−23.9758	−	0.135639i	−1.14692	−	0.00648851i
$438$	2.92139			0.139590
$439$	−6.94871	−	2.04032i	−0.331644	−	0.0973794i	0.111671	−	0.993745i	$-0.464380\pi$
$439$	−6.94871	−	2.04032i	−0.331644	−	0.0973794i	−0.443315	+	0.896366i	$0.646198\pi$
$440$	1.98101	−	2.28621i	0.0944411	−	0.108991i
$441$	1.64333	+	1.05610i	0.0782539	+	0.0502907i
$442$	2.03935	−	14.1840i	0.0970021	−	0.674664i
$443$	27.5606	−	17.7121i	1.30944	−	0.841529i	0.315237	−	0.949013i	$-0.397916\pi$
$443$	27.5606	−	17.7121i	1.30944	−	0.841529i	0.994207	+	0.107484i	$0.0342795\pi$
$444$	−1.47288	−	3.22516i	−0.0698999	−	0.153060i
$445$	−1.92565	−	2.22232i	−0.0912846	−	0.105348i
$446$	−2.31114	−	16.0744i	−0.109436	−	0.761143i
$447$	−0.868109	+	1.90089i	−0.0410601	+	0.0899091i
$448$	2.87102	−	0.843008i	0.135643	−	0.0398284i
$449$	13.0897	−	3.84347i	0.617740	−	0.181385i	0.0421339	−	0.999112i	$-0.486584\pi$
$449$	13.0897	−	3.84347i	0.617740	−	0.181385i	0.575606	+	0.817727i	$0.304766\pi$
$450$	0.415415	−	0.909632i	0.0195829	−	0.0428805i
$451$	−1.25355	−	8.71862i	−0.0590273	−	0.410544i
$452$	7.06706	+	8.15583i	0.332407	+	0.383618i
$453$	7.89041	+	17.2776i	0.370724	+	0.811772i
$454$	−5.01967	+	3.22594i	−0.235585	+	0.151401i
$455$	2.38229	−	16.5692i	0.111683	−	0.776776i
$456$	4.20574	+	2.70286i	0.196952	+	0.126573i
$457$	−24.0212	+	27.7219i	−1.12366	+	1.29678i	−0.173567	+	0.984822i	$0.555529\pi$
$457$	−24.0212	+	27.7219i	−1.12366	+	1.29678i	−0.950097	+	0.311955i	$0.899016\pi$
$458$	−1.03921	−	0.305141i	−0.0485593	−	0.0142583i
$459$	2.56149			0.119560
$460$	−0.709362	+	4.74308i	−0.0330742	+	0.221147i
$461$	−41.5325			−1.93436			−0.967181	−	0.254087i	$-0.918225\pi$
$461$	−41.5325			−1.93436			−0.967181	+	0.254087i	$0.918225\pi$
$462$	8.68511	+	2.55018i	0.404068	+	0.118645i
$463$	−1.75165	+	2.02151i	−0.0814059	+	0.0939475i	−0.794991	−	0.606621i	$-0.792525\pi$
$463$	−1.75165	+	2.02151i	−0.0814059	+	0.0939475i	0.713585	+	0.700568i	$0.247070\pi$
$464$	−0.575708	−	0.369985i	−0.0267266	−	0.0171761i
$465$	−1.04598	+	7.27492i	−0.0485059	+	0.337366i
$466$	3.14514	−	2.02126i	0.145696	−	0.0936330i
$467$	7.26675	+	15.9120i	0.336265	+	0.736318i	0.999931	−	0.0117108i	$-0.00372776\pi$
$467$	7.26675	+	15.9120i	0.336265	+	0.736318i	−0.663666	+	0.748029i	$0.731000\pi$
$468$	3.66352	+	4.22793i	0.169346	+	0.195436i
$469$	0.955771	+	6.64754i	0.0441334	+	0.306955i
$470$	3.16735	−	6.93554i	0.146099	−	0.319912i
$471$	−14.9575	+	4.39191i	−0.689204	+	0.202369i
$472$	12.0272	−	3.53149i	0.553594	−	0.162550i
$473$	11.6284	−	25.4626i	0.534674	−	1.17077i
$474$	−0.782871	−	5.44499i	−0.0359585	−	0.250097i
$475$	−3.27389	−	3.77827i	−0.150216	−	0.173359i
$476$	−3.18397	−	6.97193i	−0.145937	−	0.319558i
$477$	−4.60791	+	2.96133i	−0.210982	+	0.135590i
$478$	1.45467	−	10.1174i	0.0665350	−	0.462761i
$479$	5.69958	+	3.66290i	0.260420	+	0.167362i	0.664336	−	0.747434i	$-0.268715\pi$
$479$	5.69958	+	3.66290i	0.260420	+	0.167362i	−0.403915	+	0.914796i	$0.632351\pi$
$480$	0.654861	−	0.755750i	0.0298902	−	0.0344951i
$481$	−19.0317	−	5.58821i	−0.867771	−	0.254801i
$482$	−25.6716			−1.16931
$483$	−13.7916	+	3.96497i	−0.627539	+	0.180412i
$484$	−1.84882			−0.0840373
$485$	−7.16803	−	2.10472i	−0.325483	−	0.0955705i
$486$	−0.654861	+	0.755750i	−0.0297051	+	0.0342815i
$487$	7.19378	+	4.62316i	0.325981	+	0.209496i	0.693387	−	0.720565i	$-0.256118\pi$
$487$	7.19378	+	4.62316i	0.325981	+	0.209496i	−0.367406	+	0.930061i	$0.619754\pi$
$488$	1.92203	−	13.3680i	0.0870061	−	0.605141i
$489$	−17.5014	+	11.2474i	−0.791439	+	0.508627i
$490$	−0.811485	−	1.77690i	−0.0366591	−	0.0802723i
$491$	−16.0551	−	18.5286i	−0.724556	−	0.836182i	0.267291	−	0.963616i	$-0.413871\pi$
$491$	−16.0551	−	18.5286i	−0.724556	−	0.836182i	−0.991847	+	0.127434i	$0.959326\pi$
$492$	−0.414383	−	2.88210i	−0.0186818	−	0.129935i
$493$	−0.728198	+	1.59453i	−0.0327964	+	0.0718141i
$494$	26.8353	−	7.87956i	1.20738	−	0.354518i
$495$	2.90255	−	0.852267i	0.130460	−	0.0383065i
$496$	−3.05319	+	6.68555i	−0.137092	+	0.300190i
$497$	2.90396	+	20.1975i	0.130260	+	0.905981i
$498$	−1.87870	−	2.16814i	−0.0841867	−	0.0971566i
$499$	10.8583	+	23.7764i	0.486086	+	1.06438i	0.980745	+	0.195292i	$0.0625656\pi$
$499$	10.8583	+	23.7764i	0.486086	+	1.06438i	−0.494659	+	0.869087i	$0.664707\pi$
$500$	−0.841254	+	0.540641i	−0.0376220	+	0.0241782i
$501$	0.177699	−	1.23593i	0.00793902	−	0.0552171i
$502$	−12.1236	−	7.79133i	−0.541101	−	0.347744i
$503$	14.9392	−	17.2408i	0.666108	−	0.768729i	−0.317655	−	0.948207i	$-0.602895\pi$
$503$	14.9392	−	17.2408i	0.666108	−	0.768729i	0.983762	+	0.179477i	$0.0574407\pi$
$504$	2.87102	+	0.843008i	0.127885	+	0.0375506i
$505$	6.88064			0.306184
$506$	−12.2489	+	7.77435i	−0.544532	+	0.345612i
$507$	18.2968			0.812588
$508$	−9.46676	−	2.77969i	−0.420020	−	0.123329i
$509$	5.32536	−	6.14579i	0.236042	−	0.272407i	−0.625354	−	0.780342i	$-0.715045\pi$
$509$	5.32536	−	6.14579i	0.236042	−	0.272407i	0.861396	+	0.507934i	$0.169591\pi$
$510$	−2.15486	−	1.38484i	−0.0954188	−	0.0613220i
$511$	1.24404	−	8.65250i	0.0550332	−	0.382764i
$512$	0.841254	−	0.540641i	0.0371785	−	0.0238932i
$513$	2.07681	+	4.54759i	0.0916936	+	0.200781i
$514$	14.0925	+	16.2636i	0.621592	+	0.717355i
$515$	2.13800	+	14.8701i	0.0942116	+	0.655256i
$516$	3.84398	−	8.41714i	0.169222	−	0.370544i
$517$	22.1307	−	6.49815i	0.973306	−	0.285788i
$518$	−10.1794	+	2.98895i	−0.447258	+	0.131327i
$519$	−2.41037	+	5.27797i	−0.105804	+	0.231677i
$520$	−0.796159	−	5.53741i	−0.0349139	−	0.242831i
$521$	0.865679	+	0.999047i	0.0379261	+	0.0437690i	0.774396	−	0.632702i	$-0.218054\pi$
$521$	0.865679	+	0.999047i	0.0379261	+	0.0437690i	−0.736470	+	0.676471i	$0.763509\pi$
$522$	−0.284287	−	0.622502i	−0.0124429	−	0.0272462i
$523$	19.4393	−	12.4929i	0.850021	−	0.546275i	−0.0415602	−	0.999136i	$-0.513233\pi$
$523$	19.4393	−	12.4929i	0.850021	−	0.546275i	0.891581	+	0.452861i	$0.149596\pi$
$524$	0.753727	−	5.24229i	0.0329267	−	0.229010i
$525$	−2.51722	−	1.61772i	−0.109861	−	0.0706031i
$526$	16.3170	−	18.8309i	0.711456	−	0.821064i
$527$	18.0636	+	5.30396i	0.786865	+	0.231044i
$528$	3.02509			0.131650
$529$	9.79065	−	20.8121i	0.425680	−	0.904874i
$530$	5.47744			0.237925
$531$	12.0272	+	3.53149i	0.521934	+	0.153254i
$532$	9.79623	−	11.3055i	0.424720	−	0.490154i
$533$	−13.7034	−	8.80665i	−0.593561	−	0.381458i
$534$	0.418484	−	2.91062i	0.0181096	−	0.125955i
$535$	−7.92089	+	5.09045i	−0.342450	+	0.220079i
$536$	0.932376	+	2.04162i	0.0402725	+	0.0881845i
$537$	15.1000	+	17.4264i	0.651614	+	0.752003i
$538$	1.56288	+	10.8701i	0.0673807	+	0.468643i
$539$	2.45482	−	5.37530i	0.105736	−	0.231530i
$540$	0.959493	−	0.281733i	0.0412900	−	0.0121238i
$541$	4.90140	−	1.43918i	0.210728	−	0.0618753i	−0.174665	−	0.984628i	$-0.555884\pi$
$541$	4.90140	−	1.43918i	0.210728	−	0.0618753i	0.385393	+	0.922753i	$0.374066\pi$
$542$	−12.4470	+	27.2551i	−0.534643	+	1.17070i
$543$	0.933390	+	6.49187i	0.0400556	+	0.278593i
$544$	−1.67742	−	1.93584i	−0.0719187	−	0.0829986i
$545$	4.62362	+	10.1243i	0.198054	+	0.433678i
$546$	14.0822	−	9.05010i	0.602664	−	0.387308i
$547$	1.20240	−	8.36291i	0.0514111	−	0.357572i	−0.947835	−	0.318760i	$-0.896734\pi$
$547$	1.20240	−	8.36291i	0.0514111	−	0.357572i	0.999247	−	0.0388120i	$-0.0123574\pi$
$548$	8.08516	+	5.19602i	0.345381	+	0.221963i
$549$	8.84419	−	10.2067i	0.377461	−	0.435613i
$550$	−2.90255	−	0.852267i	−0.123765	−	0.0363408i
$551$	−3.42129			−0.145752
$552$	−4.04911	+	2.56996i	−0.172342	+	0.109385i
$553$	−16.4602			−0.699958
$554$	−1.52218	−	0.446952i	−0.0646712	−	0.0189892i
$555$	−2.32186	+	2.67956i	−0.0985573	+	0.113741i
$556$	−14.2649	−	9.16752i	−0.604968	−	0.388789i
$557$	2.26367	−	15.7442i	0.0959147	−	0.667101i	−0.883971	−	0.467542i	$-0.845140\pi$
$557$	2.26367	−	15.7442i	0.0959147	−	0.667101i	0.979886	−	0.199560i	$-0.0639512\pi$
$558$	−6.18298	+	3.97356i	−0.261747	+	0.168214i
$559$	−21.5046	−	47.0884i	−0.909547	−	1.99163i
$560$	−1.95949	−	2.26138i	−0.0828037	−	0.0955606i
$561$	−1.10276	−	7.66987i	−0.0465586	−	0.323822i
$562$	−3.66593	+	8.02727i	−0.154638	+	0.338610i
$563$	16.2823	−	4.78090i	0.686216	−	0.201491i	0.0800041	−	0.996795i	$-0.474507\pi$
$563$	16.2823	−	4.78090i	0.686216	−	0.201491i	0.606212	+	0.795303i	$0.292688\pi$
$564$	7.31570	−	2.14808i	0.308047	−	0.0904507i
$565$	4.48304	−	9.81648i	0.188603	−	0.412982i
$566$	1.16632	+	8.11192i	0.0490240	+	0.340969i
$567$	1.95949	+	2.26138i	0.0822910	+	0.0949688i
$568$	2.83288	+	6.20314i	0.118865	+	0.260278i
$569$	−37.1530	+	23.8768i	−1.55753	+	1.00097i	−0.574293	+	0.818650i	$0.694723\pi$
$569$	−37.1530	+	23.8768i	−1.55753	+	1.00097i	−0.983240	+	0.182316i	$0.941641\pi$
$570$	0.711485	−	4.94848i	0.0298008	−	0.207269i
$571$	−20.4932	−	13.1702i	−0.857612	−	0.551154i	0.0363280	−	0.999340i	$-0.488434\pi$
$571$	−20.4932	−	13.1702i	−0.857612	−	0.551154i	−0.893940	+	0.448186i	$0.852070\pi$
$572$	11.0825	−	12.7899i	0.463382	−	0.534771i
$573$	−21.9430	−	6.44303i	−0.916680	−	0.269162i
$574$	−8.71258			−0.363656
$575$	4.60914	−	1.32509i	0.192214	−	0.0552600i
$576$	1.00000			0.0416667
$577$	17.0571	+	5.00841i	0.710096	+	0.208503i	0.616782	−	0.787134i	$-0.288436\pi$
$577$	17.0571	+	5.00841i	0.710096	+	0.208503i	0.0933135	+	0.995637i	$0.470254\pi$
$578$	6.83595	−	7.88910i	0.284338	−	0.328143i
$579$	18.2312	+	11.7165i	0.757661	+	0.486919i
$580$	−0.0973924	+	0.677379i	−0.00404400	+	0.0281266i
$581$	−7.22155	+	4.64101i	−0.299601	+	0.192542i
$582$	−3.10342	−	6.79553i	−0.128641	−	0.281684i
$583$	10.8509	+	12.5226i	0.449397	+	0.518632i
$584$	−0.415758	−	2.89166i	−0.0172042	−	0.119658i
$585$	2.32398	−	5.08880i	0.0960846	−	0.210396i
$586$	4.79058	−	1.40664i	0.197897	−	0.0581078i
$587$	−45.5421	+	13.3724i	−1.87972	+	0.551937i	−0.883164	+	0.469064i	$0.844591\pi$
$587$	−45.5421	+	13.3724i	−1.87972	+	0.551937i	−0.996560	+	0.0828729i	$0.973590\pi$
$588$	0.811485	−	1.77690i	0.0334651	−	0.0732783i
$589$	5.22922	+	36.3700i	0.215466	+	1.49860i
$590$	−8.20862	−	9.47325i	−0.337943	−	0.390007i
$591$	−8.16696	−	17.8832i	−0.335944	−	0.735615i
$592$	−2.98272	+	1.91688i	−0.122589	+	0.0787833i
$593$	−0.692955	+	4.81961i	−0.0284563	+	0.197918i	−0.999090	−	0.0426430i	$-0.986422\pi$
$593$	−0.692955	+	4.81961i	−0.0284563	+	0.197918i	0.970634	+	0.240561i	$0.0773313\pi$
$594$	2.54487	+	1.63549i	0.104417	+	0.0671049i
$595$	−5.01922	+	5.79249i	−0.205768	+	0.237469i
$596$	2.00509	+	0.588747i	0.0821317	+	0.0241160i
$597$	7.18214			0.293945
$598$	−3.96842	+	26.5345i	−0.162281	+	1.08507i
$599$	7.70280			0.314728			0.157364	−	0.987541i	$-0.449700\pi$
$599$	7.70280			0.314728			0.157364	+	0.987541i	$0.449700\pi$
$600$	−0.959493	−	0.281733i	−0.0391711	−	0.0115017i
$601$	9.14193	−	10.5504i	0.372907	−	0.430358i	−0.538015	−	0.842935i	$-0.680826\pi$
$601$	9.14193	−	10.5504i	0.372907	−	0.430358i	0.910923	+	0.412577i	$0.135371\pi$
$602$	−23.2927	−	14.9693i	−0.949341	−	0.610105i
$603$	−0.319418	+	2.22160i	−0.0130077	+	0.0904706i
$604$	15.9788	−	10.2690i	0.650168	−	0.417838i
$605$	0.768027	+	1.68175i	0.0312248	+	0.0683727i
$606$	4.50586	+	5.20004i	0.183038	+	0.211237i
$607$	0.414509	+	2.88297i	0.0168244	+	0.117016i	0.996503	−	0.0835578i	$-0.0266283\pi$
$607$	0.414509	+	2.88297i	0.0168244	+	0.117016i	−0.979679	+	0.200574i	$0.935719\pi$
$608$	2.07681	−	4.54759i	0.0842259	−	0.184429i
$609$	−1.96477	+	0.576908i	−0.0796165	+	0.0233775i
$610$	−12.9584	+	3.80493i	−0.524670	+	0.154057i
$611$	17.7193	−	38.7998i	0.716846	−	1.56967i
$612$	−0.364538	−	2.53542i	−0.0147356	−	0.102488i
$613$	−20.2488	−	23.3684i	−0.817843	−	0.943841i	0.181374	−	0.983414i	$-0.441946\pi$
$613$	−20.2488	−	23.3684i	−0.817843	−	0.943841i	−0.999217	+	0.0395736i	$0.987400\pi$
$614$	−4.11704	−	9.01505i	−0.166150	−	0.363818i
$615$	−2.44951	+	1.57420i	−0.0987738	+	0.0634780i
$616$	1.28820	−	8.95963i	0.0519031	−	0.360994i
$617$	15.2795	+	9.81957i	0.615131	+	0.395321i	0.810778	−	0.585354i	$-0.199044\pi$
$617$	15.2795	+	9.81957i	0.615131	+	0.395321i	−0.195647	+	0.980674i	$0.562681\pi$
$618$	−9.83800	+	11.3537i	−0.395742	+	0.456711i
$619$	15.5697	+	4.57167i	0.625799	+	0.183751i	0.579230	−	0.815164i	$-0.303353\pi$
$619$	15.5697	+	4.57167i	0.625799	+	0.183751i	0.0465684	+	0.998915i	$0.485171\pi$
$620$	7.34973			0.295172
$621$	−4.79575	−	0.0271313i	−0.192447	−	0.00108874i
$622$	34.6941			1.39111
$623$	−8.44239	−	2.47891i	−0.338237	−	0.0993154i
$624$	3.66352	−	4.22793i	0.146658	−	0.169253i
$625$	0.841254	+	0.540641i	0.0336501	+	0.0216256i
$626$	0.582230	−	4.04950i	0.0232706	−	0.161851i
$627$	12.7227	−	8.17641i	0.508097	−	0.326534i
$628$	6.47588	+	14.1802i	0.258416	+	0.565851i
$629$	5.94740	+	6.86367i	0.237139	+	0.273672i
$630$	−0.425839	−	2.96177i	−0.0169658	−	0.118000i
$631$	−3.18154	+	6.96659i	−0.126655	+	0.277336i	−0.962328	−	0.271892i	$-0.912351\pi$
$631$	−3.18154	+	6.96659i	−0.126655	+	0.277336i	0.835673	+	0.549228i	$0.185078\pi$
$632$	−5.27815	+	1.54981i	−0.209954	+	0.0616479i
$633$	18.0369	−	5.29612i	0.716904	−	0.210502i
$634$	13.9742	−	30.5993i	0.554987	−	1.21525i
$635$	1.40414	+	9.76600i	0.0557215	+	0.387552i
$636$	3.58696	+	4.13957i	0.142232	+	0.164145i
$637$	−4.53973	−	9.94062i	−0.179871	−	0.393862i
$638$	−1.74157	+	1.11924i	−0.0689493	+	0.0443111i
$639$	−0.970501	+	6.74998i	−0.0383924	+	0.267025i
$640$	−0.841254	−	0.540641i	−0.0332535	−	0.0213707i
$641$	5.00671	−	5.77805i	0.197753	−	0.228219i	−0.648209	−	0.761463i	$-0.724482\pi$
$641$	5.00671	−	5.77805i	0.197753	−	0.228219i	0.845962	+	0.533244i	$0.179027\pi$
$642$	−9.03418	−	2.65268i	−0.356551	−	0.104693i
$643$	41.8718			1.65126			0.825631	−	0.564210i	$-0.190819\pi$
$643$	41.8718			1.65126			0.825631	+	0.564210i	$0.190819\pi$
$644$	5.88736	+	13.0869i	0.231994	+	0.515698i
$645$	−9.25335			−0.364350
$646$	−12.2871	−	3.60782i	−0.483430	−	0.141948i
$647$	23.4875	−	27.1061i	0.923390	−	1.06565i	−0.0742669	−	0.997238i	$-0.523662\pi$
$647$	23.4875	−	27.1061i	0.923390	−	1.06565i	0.997657	−	0.0684108i	$-0.0217929\pi$
$648$	0.841254	+	0.540641i	0.0330476	+	0.0212384i
$649$	5.39647	−	37.5333i	0.211830	−	1.47331i
$650$	−4.70627	+	3.02453i	−0.184595	+	0.118632i
$651$	9.13583	+	20.0047i	0.358062	+	0.784045i
$652$	13.6237	+	15.7226i	0.533544	+	0.615743i
$653$	−6.52408	−	45.3760i	−0.255307	−	1.77570i	−0.565227	−	0.824936i	$-0.691211\pi$
$653$	−6.52408	−	45.3760i	−0.255307	−	1.77570i	0.309920	−	0.950763i	$-0.399698\pi$
$654$	−4.62362	+	10.1243i	−0.180798	+	0.395892i
$655$	−5.08166	+	1.49211i	−0.198557	+	0.0583016i
$656$	−2.79379	+	0.820331i	−0.109079	+	0.0320286i
$657$	1.21359	−	2.65739i	0.0473467	−	0.103675i
$658$	−3.24683	−	22.5822i	−0.126575	−	0.880345i
$659$	−5.06819	−	5.84900i	−0.197429	−	0.227845i	0.648400	−	0.761300i	$-0.275439\pi$
$659$	−5.06819	−	5.84900i	−0.197429	−	0.227845i	−0.845828	+	0.533455i	$0.820893\pi$
$660$	−1.25667	−	2.75172i	−0.0489158	−	0.107111i
$661$	−18.3954	+	11.8220i	−0.715497	+	0.459822i	−0.847068	−	0.531485i	$-0.821634\pi$
$661$	−18.3954	+	11.8220i	−0.715497	+	0.459822i	0.131571	+	0.991307i	$0.457998\pi$
$662$	3.97455	−	27.6436i	0.154475	−	1.07440i
$663$	−12.0550	−	7.74731i	−0.468179	−	0.300881i
$664$	−1.87870	+	2.16814i	−0.0729078	+	0.0841401i
$665$	−14.3533	−	4.21451i	−0.556597	−	0.163432i
$666$	−3.54557			−0.137388
$667$	1.38026	−	2.97765i	0.0534439	−	0.115295i
$668$	−1.24863			−0.0483111
$669$	−15.5818	−	4.57524i	−0.602429	−	0.176889i
$670$	1.46980	−	1.69624i	0.0567833	−	0.0655314i
$671$	−34.3696	−	22.0880i	−1.32682	−	0.852698i
$672$	0.425839	−	2.96177i	0.0164271	−	0.114253i
$673$	26.1688	−	16.8177i	1.00873	−	0.648273i	0.0716679	−	0.997429i	$-0.477168\pi$
$673$	26.1688	−	16.8177i	1.00873	−	0.648273i	0.937065	+	0.349155i	$0.113531\pi$
$674$	1.46126	+	3.19971i	0.0562855	+	0.123248i
$675$	−0.654861	−	0.755750i	−0.0252056	−	0.0290888i
$676$	−2.60390	−	18.1105i	−0.100150	−	0.696559i
$677$	−4.20693	+	9.21190i	−0.161686	+	0.354042i	−0.973084	−	0.230452i	$-0.925980\pi$
$677$	−4.20693	+	9.21190i	−0.161686	+	0.354042i	0.811398	+	0.584494i	$0.198707\pi$
$678$	10.3546	−	3.04037i	0.397665	−	0.116765i
$679$	−21.4484	+	6.29781i	−0.823113	+	0.241688i
$680$	−1.06408	+	2.33001i	−0.0408056	+	0.0893519i
$681$	0.849177	+	5.90616i	0.0325405	+	0.226324i
$682$	14.5599	+	16.8030i	0.557528	+	0.643421i
$683$	14.5672	+	31.8977i	0.557399	+	1.22053i	0.953240	+	0.302214i	$0.0977258\pi$
$683$	14.5672	+	31.8977i	0.557399	+	1.22053i	−0.395841	+	0.918319i	$0.629547\pi$
$684$	4.20574	−	2.70286i	0.160810	−	0.103347i
$685$	1.36777	−	9.51302i	0.0522597	−	0.363474i
$686$	12.7033	+	8.16394i	0.485016	+	0.311701i
$687$	−0.709271	+	0.818542i	−0.0270604	+	0.0312293i
$688$	−8.87852	−	2.60697i	−0.338491	−	0.0993898i
$689$	30.6427			1.16739
$690$	4.01978	+	2.61561i	0.153030	+	0.0995744i
$691$	3.48516			0.132582			0.0662908	−	0.997800i	$-0.478884\pi$
$691$	3.48516			0.132582			0.0662908	+	0.997800i	$0.478884\pi$
$692$	5.56728	+	1.63470i	0.211636	+	0.0621420i
$693$	5.92765	−	6.84087i	0.225173	−	0.259863i
$694$	−25.9454	−	16.6741i	−0.984872	−	0.632939i
$695$	−2.41320	+	16.7842i	−0.0915378	+	0.636660i
$696$	−0.575708	+	0.369985i	−0.0218221	+	0.0140242i
$697$	3.09832	+	6.78438i	0.117357	+	0.256977i
$698$	13.4963	+	15.5756i	0.510844	+	0.589545i
$699$	−0.532063	−	3.70058i	−0.0201245	−	0.139969i
$700$	−1.24302	+	2.72183i	−0.0469816	+	0.102875i
$701$	5.89225	−	1.73012i	0.222547	−	0.0653457i	−0.168558	−	0.985692i	$-0.553911\pi$
$701$	5.89225	−	1.73012i	0.222547	−	0.0653457i	0.391105	+	0.920346i	$0.372093\pi$
$702$	5.36774	−	1.57611i	0.202592	−	0.0594865i
$703$	−7.36349	+	16.1238i	−0.277719	+	0.608120i
$704$	−0.430515	−	2.99430i	−0.0162257	−	0.112852i
$705$	−4.99302	−	5.76225i	−0.188048	−	0.217019i
$706$	−6.17797	−	13.5279i	−0.232511	−	0.509128i
$707$	17.3201	−	11.1310i	0.651389	−	0.418623i
$708$	1.78390	−	12.4073i	0.0670432	−	0.466295i
$709$	37.8866	+	24.3482i	1.42286	+	0.914417i	0.999966	+	0.00823831i	$0.00262236\pi$
$709$	37.8866	+	24.3482i	1.42286	+	0.914417i	0.422895	+	0.906179i	$0.361014\pi$
$710$	4.46575	−	5.15375i	0.167597	−	0.193417i
$711$	−5.27815	−	1.54981i	−0.197946	−	0.0581222i
$712$	−2.94055			−0.110202
$713$	−33.7635	−	10.1217i	−1.26445	−	0.379060i
$714$	−7.66456			−0.286839
$715$	−16.2379	−	4.76788i	−0.607263	−	0.178309i
$716$	15.1000	−	17.4264i	0.564314	−	0.651253i
$717$	−8.59886	−	5.52615i	−0.321130	−	0.206378i
$718$	3.58406	−	24.9277i	0.133756	−	0.930293i
$719$	8.35028	−	5.36640i	0.311413	−	0.200133i	−0.375593	−	0.926785i	$-0.622561\pi$
$719$	8.35028	−	5.36640i	0.311413	−	0.200133i	0.687006	+	0.726652i	$0.258925\pi$
$720$	−0.415415	−	0.909632i	−0.0154816	−	0.0339000i
$721$	29.4375	+	33.9727i	1.09631	+	1.26521i
$722$	−0.852993	−	5.93270i	−0.0317451	−	0.220792i
$723$	−10.6644	+	23.3517i	−0.396612	+	0.868460i
$724$	6.29296	−	1.84778i	0.233876	−	0.0686722i
$725$	0.656624	−	0.192802i	0.0243864	−	0.00716049i
$726$	−0.768027	+	1.68175i	−0.0285042	+	0.0624154i
$727$	−3.35741	−	23.3513i	−0.124519	−	0.866050i	−0.952336	−	0.305052i	$-0.901326\pi$
$727$	−3.35741	−	23.3513i	−0.124519	−	0.866050i	0.827817	−	0.560999i	$-0.189583\pi$
$728$	−10.9621	−	12.6509i	−0.406282	−	0.468875i
$729$	0.415415	+	0.909632i	0.0153857	+	0.0336901i
$730$	−2.45763	+	1.57942i	−0.0909610	+	0.0584571i
$731$	−3.37319	+	23.4611i	−0.124762	+	0.867740i
$732$	−11.3615	−	7.30160i	−0.419934	−	0.269875i
$733$	−32.4679	+	37.4699i	−1.19923	+	1.38398i	−0.295798	+	0.955251i	$0.595585\pi$
$733$	−32.4679	+	37.4699i	−1.19923	+	1.38398i	−0.903431	+	0.428733i	$0.858960\pi$
$734$	0.426302	+	0.125174i	0.0157351	+	0.00462024i
$735$	−1.95343			−0.0720534
$736$	3.12005	+	3.64216i	0.115006	+	0.134252i
$737$	6.78965			0.250100
$738$	−2.79379	−	0.820331i	−0.102841	−	0.0301968i
$739$	16.5869	−	19.1423i	0.610160	−	0.704162i	−0.363647	−	0.931537i	$-0.618469\pi$
$739$	16.5869	−	19.1423i	0.610160	−	0.704162i	0.973807	+	0.227375i	$0.0730142\pi$
$740$	2.98272	+	1.91688i	0.109647	+	0.0704659i
$741$	3.98029	−	27.6836i	0.146220	−	1.01698i
$742$	13.7879	−	8.86096i	0.506171	−	0.325296i
$743$	1.97835	+	4.33197i	0.0725785	+	0.158925i	0.942444	−	0.334365i	$-0.108522\pi$
$743$	1.97835	+	4.33197i	0.0725785	+	0.158925i	−0.869865	+	0.493289i	$0.835794\pi$
$744$	4.81305	+	5.55455i	0.176455	+	0.203640i
$745$	−0.297401	−	2.06847i	−0.0108959	−	0.0757828i
$746$	−5.38702	+	11.7959i	−0.197233	+	0.431880i
$747$	−2.75265	+	0.808251i	−0.100714	+	0.0295723i
$748$	−7.43486	+	2.18307i	−0.271845	+	0.0798210i
$749$	−11.7037	+	25.6276i	−0.427645	+	0.936411i
$750$	0.142315	+	0.989821i	0.00519660	+	0.0361432i
$751$	18.9796	+	21.9037i	0.692577	+	0.799276i	0.987730	−	0.156174i	$-0.0499160\pi$
$751$	18.9796	+	21.9037i	0.692577	+	0.799276i	−0.295153	+	0.955450i	$0.595371\pi$
$752$	−3.16735	−	6.93554i	−0.115501	−	0.252913i
$753$	−12.1236	+	7.79133i	−0.441807	+	0.283932i
$754$	−0.544847	+	3.78950i	−0.0198422	+	0.138005i
$755$	−15.9788	−	10.2690i	−0.581528	−	0.373726i
$756$	1.95949	−	2.26138i	0.0712661	−	0.0822454i
$757$	43.9334	+	12.9000i	1.59679	+	0.468858i	0.954649	−	0.297733i	$-0.0962304\pi$
$757$	43.9334	+	12.9000i	1.59679	+	0.468858i	0.642136	+	0.766591i	$0.278049\pi$
$758$	27.9248			1.01427
$759$	1.98341	+	14.3716i	0.0719931	+	0.521656i
$760$	−4.99937			−0.181346
$761$	−22.6355	−	6.64640i	−0.820538	−	0.240932i	−0.155590	−	0.987822i	$-0.549728\pi$
$761$	−22.6355	−	6.64640i	−0.820538	−	0.240932i	−0.664948	+	0.746890i	$0.731546\pi$
$762$	−6.46113	+	7.45655i	−0.234062	+	0.270122i
$763$	28.0170	+	18.0054i	1.01428	+	0.651840i
$764$	−3.25464	+	22.6366i	−0.117749	+	0.818962i
$765$	−2.15486	+	1.38484i	−0.0779092	+	0.0500692i
$766$	−4.28419	−	9.38106i	−0.154794	−	0.338951i
$767$	−45.9219	−	52.9967i	−1.65814	−	1.91360i
$768$	−0.142315	−	0.989821i	−0.00513534	−	0.0357171i
$769$	2.65197	−	5.80701i	0.0956325	−	0.209406i	−0.855770	−	0.517357i	$-0.826916\pi$
$769$	2.65197	−	5.80701i	0.0956325	−	0.209406i	0.951402	+	0.307951i	$0.0996433\pi$
$770$	−8.68511	+	2.55018i	−0.312989	+	0.0919020i
$771$	20.6481	−	6.06282i	0.743622	−	0.218347i
$772$	9.00263	−	19.7130i	0.324012	−	0.709487i
$773$	4.35212	+	30.2696i	0.156535	+	1.08872i	0.904958	+	0.425501i	$0.139902\pi$
$773$	4.35212	+	30.2696i	0.156535	+	1.08872i	−0.748423	+	0.663222i	$0.769189\pi$
$774$	−6.05965	−	6.99321i	−0.217810	−	0.251366i
$775$	−3.05319	−	6.68555i	−0.109674	−	0.240152i
$776$	−6.28470	+	4.03893i	−0.225608	+	0.144989i
$777$	−1.50984	+	10.5012i	−0.0541652	+	0.376727i
$778$	−5.28252	−	3.39487i	−0.189388	−	0.121712i
$779$	−9.53271	+	11.0013i	−0.341545	+	0.394164i
$780$	−5.36774	−	1.57611i	−0.192196	−	0.0564338i
$781$	20.6293			0.738174
$782$	8.09701	−	9.23832i	0.289548	−	0.330362i
$783$	−0.684345			−0.0244565
$784$	−1.87430	−	0.550345i	−0.0669394	−	0.0196552i
$785$	10.2086	−	11.7813i	0.364360	−	0.420494i
$786$	−4.45544	−	2.86334i	−0.158920	−	0.102132i
$787$	−3.72641	+	25.9177i	−0.132832	+	0.923867i	0.809006	+	0.587800i	$0.200006\pi$
$787$	−3.72641	+	25.9177i	−0.132832	+	0.923867i	−0.941838	+	0.336067i	$0.890903\pi$
$788$	−16.5389	+	10.6289i	−0.589172	+	0.378638i
$789$	−10.3508	−	22.6651i	−0.368498	−	0.806899i
$790$	3.60238	+	4.15736i	0.128167	+	0.147912i
$791$	−4.59552	−	31.9626i	−0.163398	−	1.13646i
$792$	1.25667	−	2.75172i	0.0446538	−	0.0977781i
$793$	−72.4938	+	21.2861i	−2.57433	+	0.755892i
$794$	6.59136	−	1.93540i	0.233919	−	0.0686847i
$795$	2.27541	−	4.98245i	0.0807005	−	0.176709i
$796$	−1.02212	−	7.10904i	−0.0362283	−	0.251973i
$797$	28.1714	+	32.5115i	0.997882	+	1.15162i	0.988433	+	0.151661i	$0.0484623\pi$
$797$	28.1714	+	32.5115i	0.997882	+	1.15162i	0.00944907	+	0.999955i	$0.496992\pi$
$798$	−6.21430	−	13.6074i	−0.219984	−	0.481697i
$799$	−16.4298	+	10.5588i	−0.581246	+	0.373544i
$800$	−0.142315	+	0.989821i	−0.00503159	+	0.0349955i
$801$	−2.47375	−	1.58978i	−0.0874056	−	0.0561722i
$802$	−2.37530	+	2.74124i	−0.0838747	+	0.0967966i
$803$	−8.47950	−	2.48981i	−0.299235	−	0.0878634i
$804$	2.24445			0.0791555
$805$	9.45860	−	10.7918i	0.333372	−	0.380362i
$806$	41.1170			1.44828
$807$	10.5370	+	3.09395i	0.370921	+	0.108912i
$808$	4.50586	−	5.20004i	0.158516	−	0.182937i
$809$	−9.90979	−	6.36863i	−0.348410	−	0.223909i	0.354717	−	0.934974i	$-0.384577\pi$
$809$	−9.90979	−	6.36863i	−0.348410	−	0.223909i	−0.703127	+	0.711064i	$0.748213\pi$
$810$	0.142315	−	0.989821i	0.00500043	−	0.0347788i
$811$	9.87948	−	6.34916i	0.346915	−	0.222949i	−0.355566	−	0.934651i	$-0.615712\pi$
$811$	9.87948	−	6.34916i	0.346915	−	0.222949i	0.702481	+	0.711702i	$0.252075\pi$
$812$	0.850652	+	1.86267i	0.0298520	+	0.0653668i
$813$	19.6214	+	22.6443i	0.688153	+	0.794171i
$814$	1.52642	+	10.6165i	0.0535011	+	0.372108i
$815$	8.64226	−	18.9239i	0.302725	−	0.662876i
$816$	−2.45773	+	0.721655i	−0.0860377	+	0.0252630i
$817$	−44.3870	+	13.0332i	−1.55291	+	0.455974i
$818$	6.15208	−	13.4712i	0.215102	−	0.471009i
$819$	−2.38229	−	16.5692i	−0.0832440	−	0.578974i
$820$	1.90678	+	2.20054i	0.0665877	+	0.0768463i
$821$	17.1029	+	37.4500i	0.596894	+	1.30701i	0.931186	+	0.364545i	$0.118776\pi$
$821$	17.1029	+	37.4500i	0.596894	+	1.30701i	−0.334292	+	0.942470i	$0.608497\pi$
$822$	8.08516	−	5.19602i	0.282002	−	0.181232i
$823$	−2.14039	+	14.8867i	−0.0746093	+	0.518919i	0.917906	+	0.396798i	$0.129879\pi$
$823$	−2.14039	+	14.8867i	−0.0746093	+	0.518919i	−0.992515	+	0.122121i	$0.961030\pi$
$824$	12.6382	+	8.12207i	0.440272	+	0.282946i
$825$	−1.98101	+	2.28621i	−0.0689700	+	0.0795957i
$826$	−35.9880	−	10.5670i	−1.25218	−	0.367674i
$827$	25.4266			0.884171			0.442085	−	0.896973i	$-0.354239\pi$
$827$	25.4266			0.884171			0.442085	+	0.896973i	$0.354239\pi$
$828$	0.655652	+	4.75080i	0.0227855	+	0.165102i
$829$	25.9739			0.902110			0.451055	−	0.892496i	$-0.351048\pi$
$829$	25.9739			0.902110			0.451055	+	0.892496i	$0.351048\pi$
$830$	2.75265	+	0.808251i	0.0955458	+	0.0280548i
$831$	−1.03890	+	1.19895i	−0.0360390	+	0.0415912i
$832$	−4.70627	−	3.02453i	−0.163160	−	0.104857i
$833$	−0.712100	+	4.95276i	−0.0246728	+	0.171603i
$834$	−14.2649	+	9.16752i	−0.493954	+	0.317445i
$835$	0.518702	+	1.13580i	0.0179504	+	0.0393059i
$836$	−9.90382	−	11.4296i	−0.342531	−	0.395302i
$837$	1.04598	+	7.27492i	0.0361542	+	0.251458i
$838$	−9.80900	+	21.4787i	−0.338846	+	0.741970i
$839$	−26.7807	+	7.86352i	−0.924573	+	0.271479i	−0.709163	−	0.705045i	$-0.750927\pi$
$839$	−26.7807	+	7.86352i	−0.924573	+	0.271479i	−0.215410	+	0.976524i	$0.569109\pi$
$840$	−2.87102	+	0.843008i	−0.0990597	+	0.0290865i
$841$	−11.8525	+	25.9533i	−0.408706	+	0.894942i
$842$	5.09368	+	35.4273i	0.175540	+	1.22091i
$843$	5.77898	+	6.66930i	0.199039	+	0.229703i
$844$	−7.80914	−	17.0996i	−0.268802	−	0.588593i
$845$	−15.3922	+	9.89198i	−0.529508	+	0.340294i
$846$	1.08509	−	7.54695i	0.0373061	−	0.259469i
$847$	4.65389	+	2.99087i	0.159910	+	0.102768i
$848$	3.58696	−	4.13957i	0.123177	−	0.142153i
$849$	7.86337	+	2.30889i	0.269870	+	0.0792410i
$850$	2.56149			0.0878583
$851$	−11.0623	−	12.9135i	−0.379212	−	0.442670i
$852$	6.81939			0.233629
$853$	−3.11657	−	0.915108i	−0.106709	−	0.0313327i	0.227942	−	0.973675i	$-0.426800\pi$
$853$	−3.11657	−	0.915108i	−0.106709	−	0.0313327i	−0.334651	+	0.942342i	$0.608619\pi$
$854$	−26.4639	+	30.5409i	−0.905574	+	1.04509i
$855$	−4.20574	−	2.70286i	−0.143833	−	0.0924360i
$856$	−1.33998	+	9.31974i	−0.0457995	+	0.318542i
$857$	3.12867	−	2.01068i	0.106873	−	0.0686834i	−0.486112	−	0.873896i	$-0.661585\pi$
$857$	3.12867	−	2.01068i	0.106873	−	0.0686834i	0.592986	+	0.805213i	$0.297949\pi$
$858$	−7.03025	−	15.3941i	−0.240009	−	0.525546i
$859$	25.5930	+	29.5359i	0.873221	+	1.00775i	0.999875	+	0.0158040i	$0.00503078\pi$
$859$	25.5930	+	29.5359i	0.873221	+	1.00775i	−0.126654	+	0.991947i	$0.540424\pi$
$860$	1.31689	+	9.15916i	0.0449055	+	0.312325i
$861$	−3.61934	+	7.92525i	−0.123347	+	0.270092i
$862$	32.0520	−	9.41132i	1.09170	−	0.320551i
$863$	−11.9023	+	3.49484i	−0.405160	+	0.118966i	−0.477962	−	0.878381i	$-0.658624\pi$
$863$	−11.9023	+	3.49484i	−0.405160	+	0.118966i	0.0728017	+	0.997346i	$0.476806\pi$
$864$	0.415415	−	0.909632i	0.0141327	−	0.0309463i
$865$	−0.825756	−	5.74326i	−0.0280765	−	0.195277i
$866$	18.5672	+	21.4277i	0.630939	+	0.728142i
$867$	−4.33643	−	9.49545i	−0.147273	−	0.322482i
$868$	18.5009	−	11.8898i	0.627961	−	0.403566i
$869$	−2.36826	+	16.4716i	−0.0803376	+	0.558760i
$870$	0.575708	+	0.369985i	0.0195183	+	0.0125437i
$871$	8.22257	−	9.48935i	0.278611	−	0.321535i
$872$	10.6793	+	3.13572i	0.361646	+	0.106189i
$873$	−7.47064			−0.252843
$874$	22.9664	+	6.88490i	0.776849	+	0.232885i
$875$	2.99223			0.101156
$876$	−2.80306	−	0.823052i	−0.0947065	−	0.0278083i
$877$	11.4072	−	13.1647i	0.385195	−	0.444539i	−0.529728	−	0.848168i	$-0.677706\pi$
$877$	11.4072	−	13.1647i	0.385195	−	0.444539i	0.914923	+	0.403629i	$0.132251\pi$
$878$	6.09241	+	3.91535i	0.205609	+	0.132137i
$879$	0.710553	−	4.94201i	0.0239664	−	0.166690i
$880$	−2.54487	+	1.63549i	−0.0857875	+	0.0551323i
$881$	20.5825	+	45.0693i	0.693441	+	1.51842i	0.847747	+	0.530401i	$0.177959\pi$
$881$	20.5825	+	45.0693i	0.693441	+	1.51842i	−0.154306	+	0.988023i	$0.549314\pi$
$882$	−1.27923	−	1.47631i	−0.0430738	−	0.0497098i
$883$	−1.79983	−	12.5181i	−0.0605690	−	0.421266i	−0.997435	−	0.0715780i	$-0.977197\pi$
$883$	−1.79983	−	12.5181i	−0.0605690	−	0.421266i	0.936866	−	0.349688i	$-0.113713\pi$
$884$	−5.95284	+	13.0349i	−0.200216	+	0.438411i
$885$	−12.0272	+	3.53149i	−0.404288	+	0.118710i
$886$	−31.4343	+	9.22994i	−1.05606	+	0.310086i
$887$	3.76464	−	8.24341i	0.126404	−	0.276787i	−0.835840	−	0.548972i	$-0.815019\pi$
$887$	3.76464	−	8.24341i	0.126404	−	0.276787i	0.962245	+	0.272186i	$0.0877465\pi$
$888$	0.504587	+	3.50948i	0.0169328	+	0.117771i
$889$	19.3332	+	22.3117i	0.648414	+	0.748310i
$890$	1.22155	+	2.67482i	0.0409464	+	0.0896601i
$891$	2.54487	−	1.63549i	0.0852563	−	0.0547909i
$892$	−2.31114	+	16.0744i	−0.0773828	+	0.538209i
$893$	−32.0669	−	20.6081i	−1.07308	−	0.689625i
$894$	1.36849	−	1.57932i	0.0457691	−	0.0528203i
$895$	−22.1243	−	6.49629i	−0.739535	−	0.217147i
$896$	−2.99223			−0.0999633
$897$	22.4880	+	14.6326i	0.750854	+	0.488569i
$898$	−13.6423			−0.455249
$899$	−4.82601	−	1.41704i	−0.160956	−	0.0472611i
$900$	−0.654861	+	0.755750i	−0.0218287	+	0.0251917i
$901$	−11.8031	−	7.58540i	−0.393219	−	0.252706i
$902$	−1.25355	+	8.71862i	−0.0417386	+	0.290298i
$903$	−23.2927	+	14.9693i	−0.775134	+	0.498148i
$904$	−4.48304	−	9.81648i	−0.149104	−	0.326491i
$905$	−4.29499	−	4.95668i	−0.142770	−	0.164766i
$906$	−2.70313	−	18.8007i	−0.0898056	−	0.624612i
$907$	−19.5359	+	42.7777i	−0.648679	+	1.42041i	0.244027	+	0.969769i	$0.421532\pi$
$907$	−19.5359	+	42.7777i	−0.648679	+	1.42041i	−0.892706	+	0.450640i	$0.851196\pi$
$908$	5.72519	−	1.68107i	0.189997	−	0.0557882i
$909$	6.60193	−	1.93850i	0.218972	−	0.0642960i
$910$	−6.95387	+	15.2269i	−0.230519	+	0.504765i
$911$	−6.98244	−	48.5640i	−0.231339	−	1.60900i	−0.692323	−	0.721587i	$-0.743413\pi$
$911$	−6.98244	−	48.5640i	−0.231339	−	1.60900i	0.460985	−	0.887408i	$-0.347496\pi$
$912$	−3.27389	−	3.77827i	−0.108409	−	0.125111i
$913$	3.60520	+	7.89429i	0.119315	+	0.261263i
$914$	30.8583	−	19.8314i	1.02070	−	0.655966i
$915$	−1.92203	+	13.3680i	−0.0635403	+	0.441932i
$916$	0.911150	+	0.585561i	0.0301053	+	0.0193475i
$917$	−10.3779	+	11.9767i	−0.342707	+	0.395505i
$918$	−2.45773	−	0.721655i	−0.0811172	−	0.0238181i
$919$	−2.27457			−0.0750312			−0.0375156	−	0.999296i	$-0.511944\pi$
$919$	−2.27457			−0.0750312			−0.0375156	+	0.999296i	$0.511944\pi$
$920$	2.01691	−	4.35110i	0.0664955	−	0.143452i
$921$	−9.91066			−0.326567
$922$	39.8502	+	11.7011i	1.31240	+	0.385354i
$923$	24.9830	−	28.8319i	0.822325	−	0.949014i
$924$	−7.61483	−	4.89375i	−0.250510	−	0.160993i
$925$	0.504587	−	3.50948i	0.0165907	−	0.115391i
$926$	2.25022	−	1.44613i	0.0739467	−	0.0475227i
$927$	6.24080	+	13.6654i	0.204975	+	0.448832i
$928$	0.448151	+	0.517193i	0.0147113	+	0.0169777i
$929$	−1.03356	−	7.18860i	−0.0339102	−	0.235850i	0.965817	−	0.259226i	$-0.0834676\pi$
$929$	−1.03356	−	7.18860i	−0.0339102	−	0.235850i	−0.999727	+	0.0233761i	$0.992558\pi$
$930$	3.05319	−	6.68555i	0.100118	−	0.219228i
$931$	−9.37034	+	2.75138i	−0.307100	+	0.0901728i
$932$	−3.58719	+	1.05329i	−0.117502	+	0.0345018i
$933$	14.4125	−	31.5589i	0.471843	−	1.03319i
$934$	−2.48948	−	17.3147i	−0.0814582	−	0.566554i
$935$	5.07434	+	5.85610i	0.165949	+	0.191515i
$936$	−2.32398	−	5.08880i	−0.0759616	−	0.166333i
$937$	−18.7454	+	12.0469i	−0.612384	+	0.393556i	−0.809751	−	0.586774i	$-0.800398\pi$
$937$	−18.7454	+	12.0469i	−0.612384	+	0.393556i	0.197366	+	0.980330i	$0.436761\pi$
$938$	0.955771	−	6.64754i	0.0312070	−	0.217050i
$939$	−3.44169	−	2.21184i	−0.112315	−	0.0721806i
$940$	−4.99302	+	5.76225i	−0.162854	+	0.187944i
$941$	−13.5624	−	3.98229i	−0.442123	−	0.129819i	0.0530916	−	0.998590i	$-0.483092\pi$
$941$	−13.5624	−	3.98229i	−0.442123	−	0.129819i	−0.495215	+	0.868771i	$0.664911\pi$
$942$	15.5889			0.507915
$943$	−5.72899	−	12.7349i	−0.186561	−	0.414705i
$944$	−12.5349			−0.407976
$945$	−2.87102	−	0.843008i	−0.0933944	−	0.0274231i
$946$	−18.3310	+	21.1551i	−0.595993	+	0.687812i
$947$	29.7345	+	19.1092i	0.966240	+	0.620965i	0.925718	−	0.378214i	$-0.123462\pi$
$947$	29.7345	+	19.1092i	0.966240	+	0.620965i	0.0405220	+	0.999179i	$0.487098\pi$
$948$	−0.782871	+	5.44499i	−0.0254265	+	0.176845i
$949$	−13.7489	+	8.83585i	−0.446307	+	0.286824i
$950$	2.07681	+	4.54759i	0.0673807	+	0.147543i
$951$	−22.0290	−	25.4228i	−0.714338	−	0.824391i
$952$	1.09078	+	7.58654i	0.0353524	+	0.245881i
$953$	10.7804	−	23.6059i	0.349213	−	0.764669i	−0.650773	−	0.759273i	$-0.725555\pi$
$953$	10.7804	−	23.6059i	0.349213	−	0.764669i	0.999985	−	0.00539667i	$-0.00171782\pi$
$954$	5.25556	−	1.54317i	0.170155	−	0.0499621i
$955$	21.9430	−	6.44303i	0.710058	−	0.208492i
$956$	−4.24616	+	9.29779i	−0.137331	+	0.300712i
$957$	0.294621	+	2.04913i	0.00952375	+	0.0662391i
$958$	−4.43675	−	5.12028i	−0.143345	−	0.165429i
$959$	−11.9464	−	26.1591i	−0.385771	−	0.844720i
$960$	−0.841254	+	0.540641i	−0.0271513	+	0.0174491i
$961$	−3.27587	+	22.7842i	−0.105673	+	0.734974i
$962$	16.6864	+	10.7237i	0.537991	+	0.345746i
$963$	−6.16589	+	7.11582i	−0.198693	+	0.229304i
$964$	24.6317	+	7.23253i	0.793335	+	0.232944i
$965$	−21.6714			−0.697627
$966$	14.3500	+	0.0811830i	0.461703	+	0.00261202i
$967$	−27.7972			−0.893898			−0.446949	−	0.894560i	$-0.647489\pi$
$967$	−27.7972			−0.893898			−0.446949	+	0.894560i	$0.647489\pi$
$968$	1.77393	+	0.520873i	0.0570163	+	0.0167415i
$969$	−8.38603	+	9.67800i	−0.269398	+	0.310902i
$970$	6.28470	+	4.03893i	0.201790	+	0.129682i
$971$	4.01238	−	27.9067i	0.128763	−	0.895569i	−0.818361	−	0.574704i	$-0.805117\pi$
$971$	4.01238	−	27.9067i	0.128763	−	0.895569i	0.947125	−	0.320865i	$-0.103974\pi$
$972$	0.841254	−	0.540641i	0.0269832	−	0.0173411i
$973$	21.0775	+	46.1534i	0.675715	+	1.47961i
$974$	−5.59989	−	6.46262i	−0.179432	−	0.207076i
$975$	0.796159	+	5.53741i	0.0254975	+	0.177339i
$976$	−5.61037	+	12.2850i	−0.179584	+	0.393233i
$977$	−8.42671	+	2.47431i	−0.269594	+	0.0791601i	−0.413736	−	0.910397i	$-0.635776\pi$
$977$	−8.42671	+	2.47431i	−0.269594	+	0.0791601i	0.144141	+	0.989557i	$0.453958\pi$
$978$	19.9612	−	5.86114i	0.638289	−	0.187419i
$979$	−3.69530	+	8.09157i	−0.118102	+	0.258608i
$980$	0.278002	+	1.93355i	0.00888046	+	0.0617649i
$981$	7.28868	+	8.41158i	0.232710	+	0.268561i
$982$	10.1846	+	22.3013i	0.325005	+	0.711662i
$983$	13.6991	−	8.80389i	0.436934	−	0.280801i	−0.303625	−	0.952792i	$-0.598197\pi$
$983$	13.6991	−	8.80389i	0.436934	−	0.280801i	0.740559	+	0.671991i	$0.234561\pi$
$984$	−0.414383	+	2.88210i	−0.0132101	+	0.0918780i
$985$	16.5389	+	10.6289i	0.526972	+	0.338664i
$986$	1.14793	−	1.32478i	0.0365576	−	0.0421897i
$987$	−21.8903	−	6.42756i	−0.696775	−	0.204591i
$988$	−27.9682			−0.889788
$989$	6.56398	−	43.8894i	0.208722	−	1.39560i
$990$	−3.02509			−0.0961437
$991$	11.2555	+	3.30491i	0.357542	+	0.104984i	0.455570	−	0.890200i	$-0.349435\pi$
$991$	11.2555	+	3.30491i	0.357542	+	0.104984i	−0.0980281	+	0.995184i	$0.531254\pi$
$992$	4.81305	−	5.55455i	0.152814	−	0.176357i
$993$	−23.4944	−	15.0989i	−0.745572	−	0.479150i
$994$	2.90396	−	20.1975i	0.0921080	−	0.640625i
$995$	−6.04200	+	3.88296i	−0.191544	+	0.123098i
$996$	1.19177	+	2.60960i	0.0377626	+	0.0826885i
$997$	−9.68143	−	11.1730i	−0.306614	−	0.353852i	0.581441	−	0.813589i	$-0.302489\pi$
$997$	−9.68143	−	11.1730i	−0.306614	−	0.353852i	−0.888055	+	0.459737i	$0.847944\pi$
$998$	−3.71990	−	25.8725i	−0.117751	−	0.818979i
$999$	−1.47288	+	3.22516i	−0.0466000	+	0.102040i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	690.2.m.a.271.1	✓	10
23.9	even	11	inner	690.2.m.a.331.1	yes	10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.m.a.271.1	✓	10	1.1	even	1	trivial
690.2.m.a.331.1	yes	10	23.9	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:	\( N \)	\(=\)	\( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	690.m (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.959493 - 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.142315 - 0.989821i) q^{5} +(0.841254 - 0.540641i) q^{6} +(-1.24302 - 2.72183i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(-0.959493 - 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.142315 - 0.989821i) q^{5} +(0.841254 - 0.540641i) q^{6} +(-1.24302 - 2.72183i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(-0.415415 + 0.909632i) q^{10} +(-2.90255 + 0.852267i) q^{11} +(-0.959493 + 0.281733i) q^{12} +(-2.32398 + 5.08880i) q^{13} +(0.425839 + 2.96177i) q^{14} +(0.654861 + 0.755750i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.15486 - 1.38484i) q^{17} +(-0.142315 + 0.989821i) q^{18} +(4.20574 + 2.70286i) q^{19} +(0.654861 - 0.755750i) q^{20} +(2.87102 + 0.843008i) q^{21} +3.02509 q^{22} +(-4.04911 + 2.56996i) q^{23} +1.00000 q^{24} +(-0.959493 - 0.281733i) q^{25} +(3.66352 - 4.22793i) q^{26} +(0.841254 + 0.540641i) q^{27} +(0.425839 - 2.96177i) q^{28} +(-0.575708 + 0.369985i) q^{29} +(-0.415415 - 0.909632i) q^{30} +(4.81305 + 5.55455i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(1.25667 - 2.75172i) q^{33} +(-2.45773 + 0.721655i) q^{34} +(-2.87102 + 0.843008i) q^{35} +(0.415415 - 0.909632i) q^{36} +(0.504587 + 3.50948i) q^{37} +(-3.27389 - 3.77827i) q^{38} +(-2.32398 - 5.08880i) q^{39} +(-0.841254 + 0.540641i) q^{40} +(-0.414383 + 2.88210i) q^{41} +(-2.51722 - 1.61772i) q^{42} +(-6.05965 + 6.99321i) q^{43} +(-2.90255 - 0.852267i) q^{44} -1.00000 q^{45} +(4.60914 - 1.32509i) q^{46} -7.62455 q^{47} +(-0.959493 - 0.281733i) q^{48} +(-1.27923 + 1.47631i) q^{49} +(0.841254 + 0.540641i) q^{50} +(-0.364538 + 2.53542i) q^{51} +(-4.70627 + 3.02453i) q^{52} +(-2.27541 - 4.98245i) q^{53} +(-0.654861 - 0.755750i) q^{54} +(0.430515 + 2.99430i) q^{55} +(-1.24302 + 2.72183i) q^{56} +(-4.79686 + 1.40849i) q^{57} +(0.656624 - 0.192802i) q^{58} +(-5.20719 + 11.4021i) q^{59} +(0.142315 + 0.989821i) q^{60} +(8.84419 + 10.2067i) q^{61} +(-3.05319 - 6.68555i) q^{62} +(-2.51722 + 1.61772i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(4.70627 + 3.02453i) q^{65} +(-1.98101 + 2.28621i) q^{66} +(-2.15353 - 0.632333i) q^{67} +2.56149 q^{68} +(0.709362 - 4.74308i) q^{69} +2.99223 q^{70} +(-6.54316 - 1.92124i) q^{71} +(-0.654861 + 0.755750i) q^{72} +(2.45763 + 1.57942i) q^{73} +(0.504587 - 3.50948i) q^{74} +(0.841254 - 0.540641i) q^{75} +(2.07681 + 4.54759i) q^{76} +(5.92765 + 6.84087i) q^{77} +(0.796159 + 5.53741i) q^{78} +(2.28519 - 5.00387i) q^{79} +(0.959493 - 0.281733i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(1.20958 - 2.64861i) q^{82} +(-0.408281 - 2.83966i) q^{83} +(1.95949 + 2.26138i) q^{84} +(-1.06408 - 2.33001i) q^{85} +(7.78441 - 5.00274i) q^{86} +(0.0973924 - 0.677379i) q^{87} +(2.54487 + 1.63549i) q^{88} +(1.92565 - 2.22232i) q^{89} +(0.959493 + 0.281733i) q^{90} +16.7396 q^{91} +(-4.79575 - 0.0271313i) q^{92} -7.34973 q^{93} +(7.31570 + 2.14808i) q^{94} +(3.27389 - 3.77827i) q^{95} +(0.841254 + 0.540641i) q^{96} +(1.06318 - 7.39460i) q^{97} +(1.64333 - 1.05610i) q^{98} +(1.25667 + 2.75172i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - q^{2} - q^{3} - q^{4} + q^{5} - q^{6} - q^{8} - q^{9}+O(q^{10}) \) 10 * q - q^2 - q^3 - q^4 + q^5 - q^6 - q^8 - q^9	\( 10 q - q^{2} - q^{3} - q^{4} + q^{5} - q^{6} - q^{8} - q^{9} + q^{10} - 2 q^{11} - q^{12} + q^{15} - q^{16} + 16 q^{17} - q^{18} + 18 q^{19} + q^{20} + 20 q^{22} - q^{23} + 10 q^{24} - q^{25} + 11 q^{26} - q^{27} + 22 q^{29} + q^{30} + 8 q^{31} - q^{32} - 2 q^{33} + 5 q^{34} - q^{36} - 16 q^{37} - 4 q^{38} + q^{40} - 9 q^{41} - 11 q^{42} + 2 q^{43} - 2 q^{44} - 10 q^{45} - q^{46} - 48 q^{47} - q^{48} + 7 q^{49} - q^{50} - 17 q^{51} + 2 q^{53} - q^{54} - 9 q^{55} - 15 q^{57} + 22 q^{58} - 22 q^{59} + q^{60} + 13 q^{61} + 8 q^{62} - 11 q^{63} - q^{64} - 13 q^{66} + 2 q^{67} - 6 q^{68} - q^{69} - 45 q^{71} - q^{72} + 21 q^{73} - 16 q^{74} - q^{75} - 4 q^{76} + 22 q^{77} + 11 q^{78} + 66 q^{79} + q^{80} - q^{81} + 57 q^{82} + 15 q^{83} + 11 q^{84} - 5 q^{85} + 24 q^{86} - 2 q^{88} + 29 q^{89} + q^{90} + 22 q^{91} - 12 q^{92} - 58 q^{93} + 7 q^{94} + 4 q^{95} - q^{96} - 27 q^{97} + 7 q^{98} - 2 q^{99}+O(q^{100}) \) 10 * q - q^2 - q^3 - q^4 + q^5 - q^6 - q^8 - q^9 + q^10 - 2 * q^11 - q^12 + q^15 - q^16 + 16 * q^17 - q^18 + 18 * q^19 + q^20 + 20 * q^22 - q^23 + 10 * q^24 - q^25 + 11 * q^26 - q^27 + 22 * q^29 + q^30 + 8 * q^31 - q^32 - 2 * q^33 + 5 * q^34 - q^36 - 16 * q^37 - 4 * q^38 + q^40 - 9 * q^41 - 11 * q^42 + 2 * q^43 - 2 * q^44 - 10 * q^45 - q^46 - 48 * q^47 - q^48 + 7 * q^49 - q^50 - 17 * q^51 + 2 * q^53 - q^54 - 9 * q^55 - 15 * q^57 + 22 * q^58 - 22 * q^59 + q^60 + 13 * q^61 + 8 * q^62 - 11 * q^63 - q^64 - 13 * q^66 + 2 * q^67 - 6 * q^68 - q^69 - 45 * q^71 - q^72 + 21 * q^73 - 16 * q^74 - q^75 - 4 * q^76 + 22 * q^77 + 11 * q^78 + 66 * q^79 + q^80 - q^81 + 57 * q^82 + 15 * q^83 + 11 * q^84 - 5 * q^85 + 24 * q^86 - 2 * q^88 + 29 * q^89 + q^90 + 22 * q^91 - 12 * q^92 - 58 * q^93 + 7 * q^94 + 4 * q^95 - q^96 - 27 * q^97 + 7 * q^98 - 2 * q^99

Introduction

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