LMFDB - Embedded newform 588.2.x.a.55.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.3
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.35491 - 0.405223i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.67159 + 1.09809i) q^{4} +(-0.997385 + 2.07109i) q^{5} +(1.04492 + 0.952969i) q^{6} +(-0.739943 - 2.54017i) q^{7} +(-1.81989 - 2.16518i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.35491 - 0.405223i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.67159 + 1.09809i) q^{4} +(-0.997385 + 2.07109i) q^{5} +(1.04492 + 0.952969i) q^{6} +(-0.739943 - 2.54017i) q^{7} +(-1.81989 - 2.16518i) q^{8} +(0.623490 + 0.781831i) q^{9} +(2.19063 - 2.40199i) q^{10} +(2.23419 + 1.78171i) q^{11} +(-1.02961 - 1.71462i) q^{12} +(-3.41338 - 2.72208i) q^{13} +(-0.0267785 + 3.74156i) q^{14} +(1.79723 - 1.43324i) q^{15} +(1.58841 + 3.67110i) q^{16} +(5.06737 + 1.15659i) q^{17} +(-0.527959 - 1.31197i) q^{18} +2.64376 q^{19} +(-3.94145 + 2.36680i) q^{20} +(-0.435475 + 2.60967i) q^{21} +(-2.30515 - 3.31941i) q^{22} +(-7.58545 + 1.73133i) q^{23} +(0.700227 + 2.74038i) q^{24} +(-0.177195 - 0.222196i) q^{25} +(3.52179 + 5.07137i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(1.55245 - 5.05865i) q^{28} +(-1.89194 + 8.28914i) q^{29} +(-3.01587 + 1.21364i) q^{30} -6.65619 q^{31} +(-0.664550 - 5.61768i) q^{32} +(-1.23988 - 2.57464i) q^{33} +(-6.39718 - 3.62050i) q^{34} +(5.99894 + 1.00104i) q^{35} +(0.183700 + 1.99155i) q^{36} +(0.180448 - 0.790596i) q^{37} +(-3.58208 - 1.07132i) q^{38} +(1.89428 + 3.93352i) q^{39} +(6.29942 - 1.60964i) q^{40} +(-4.07245 + 8.45653i) q^{41} +(1.64753 - 3.35941i) q^{42} +(4.68387 + 9.72616i) q^{43} +(1.77818 + 5.43161i) q^{44} +(-2.24110 + 0.511517i) q^{45} +(10.9792 + 0.727998i) q^{46} +(3.13542 - 3.93169i) q^{47} +(0.161718 - 3.99673i) q^{48} +(-5.90497 + 3.75917i) q^{49} +(0.150046 + 0.372860i) q^{50} +(-4.06372 - 3.24070i) q^{51} +(-2.71669 - 8.29839i) q^{52} +(2.95859 + 12.9624i) q^{53} +(-0.0935667 + 1.41111i) q^{54} +(-5.91842 + 2.85016i) q^{55} +(-4.15332 + 6.22494i) q^{56} +(-2.38195 - 1.14709i) q^{57} +(5.92237 - 10.4644i) q^{58} +(6.88312 - 3.31473i) q^{59} +(4.57804 - 0.422277i) q^{60} +(7.63500 + 1.74264i) q^{61} +(9.01858 + 2.69725i) q^{62} +(1.52464 - 2.16228i) q^{63} +(-1.37601 + 7.88077i) q^{64} +(9.04214 - 4.35446i) q^{65} +(0.636629 + 3.99085i) q^{66} +5.70383i q^{67} +(7.20052 + 7.49776i) q^{68} +(7.58545 + 1.73133i) q^{69} +(-7.72241 - 3.78724i) q^{70} +(-8.17895 + 1.86679i) q^{71} +(0.558124 - 2.77281i) q^{72} +(1.84284 - 1.46961i) q^{73} +(-0.564860 + 0.998069i) q^{74} +(0.0632403 + 0.277074i) q^{75} +(4.41929 + 2.90308i) q^{76} +(2.87267 - 6.99359i) q^{77} +(-0.972639 - 6.09720i) q^{78} +4.61143i q^{79} +(-9.18744 - 0.371748i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(8.94461 - 9.80763i) q^{82} +(-5.20337 - 6.52482i) q^{83} +(-3.59357 + 3.88410i) q^{84} +(-7.44953 + 9.34142i) q^{85} +(-2.40498 - 15.0761i) q^{86} +(5.30110 - 6.64737i) q^{87} +(-0.208261 - 8.07993i) q^{88} +(0.225711 - 0.179999i) q^{89} +(3.24378 + 0.215085i) q^{90} +(-4.38885 + 10.6848i) q^{91} +(-14.5809 - 5.43541i) q^{92} +(5.99702 + 2.88801i) q^{93} +(-5.84143 + 4.05656i) q^{94} +(-2.63685 + 5.47548i) q^{95} +(-1.83868 + 5.34970i) q^{96} +8.60689i q^{97} +(9.52403 - 2.70052i) q^{98} +2.85763i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	−1.35491	−	0.405223i	−0.958069	−	0.286536i
$2$	−1.35491	−	0.405223i	−0.958069	−	0.286536i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	1.67159	+	1.09809i	0.835794	+	0.549043i
$5$	−0.997385	+	2.07109i	−0.446044	+	0.926220i	0.549813	+	0.835288i	$0.314699\pi$
$5$	−0.997385	+	2.07109i	−0.446044	+	0.926220i	−0.995857	+	0.0909325i	$0.971015\pi$
$6$	1.04492	+	0.952969i	0.426585	+	0.389048i
$7$	−0.739943	−	2.54017i	−0.279672	−	0.960096i
$7$	−0.739943	−	2.54017i	−0.279672	−	0.960096i
$8$	−1.81989	−	2.16518i	−0.643428	−	0.765507i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	2.19063	−	2.40199i	0.692737	−	0.759576i
$11$	2.23419	+	1.78171i	0.673633	+	0.537205i	0.899482	−	0.436958i	$-0.143944\pi$
$11$	2.23419	+	1.78171i	0.673633	+	0.537205i	−0.225849	+	0.974162i	$0.572516\pi$
$12$	−1.02961	−	1.71462i	−0.297222	−	0.494967i
$13$	−3.41338	−	2.72208i	−0.946702	−	0.754970i	0.0228796	−	0.999738i	$-0.492717\pi$
$13$	−3.41338	−	2.72208i	−0.946702	−	0.754970i	−0.969582	+	0.244769i	$0.921288\pi$
$14$	−0.0267785	+	3.74156i	−0.00715685	+	0.999974i
$15$	1.79723	−	1.43324i	0.464042	−	0.370061i
$16$	1.58841	+	3.67110i	0.397103	+	0.917774i
$17$	5.06737	+	1.15659i	1.22902	+	0.280515i	0.787261	−	0.616620i	$-0.211498\pi$
$17$	5.06737	+	1.15659i	1.22902	+	0.280515i	0.441757	+	0.897135i	$0.354355\pi$
$18$	−0.527959	−	1.31197i	−0.124441	−	0.309234i
$19$	2.64376			0.606521			0.303261	−	0.952908i	$-0.401925\pi$
$19$	2.64376			0.606521			0.303261	+	0.952908i	$0.401925\pi$
$20$	−3.94145	+	2.36680i	−0.881336	+	0.529232i
$21$	−0.435475	+	2.60967i	−0.0950284	+	0.569476i
$22$	−2.30515	−	3.31941i	−0.491459	−	0.707700i
$23$	−7.58545	+	1.73133i	−1.58168	+	0.361007i	−0.920968	−	0.389637i	$-0.872600\pi$
$23$	−7.58545	+	1.73133i	−1.58168	+	0.361007i	−0.660707	+	0.750644i	$0.729743\pi$
$24$	0.700227	+	2.74038i	0.142933	+	0.559378i
$25$	−0.177195	−	0.222196i	−0.0354391	−	0.0444392i
$26$	3.52179	+	5.07137i	0.690680	+	0.994578i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	1.55245	−	5.05865i	0.293386	−	0.955994i
$29$	−1.89194	+	8.28914i	−0.351325	+	1.53925i	0.422801	+	0.906222i	$0.361047\pi$
$29$	−1.89194	+	8.28914i	−0.351325	+	1.53925i	−0.774126	+	0.633032i	$0.781810\pi$
$30$	−3.01587	+	1.21364i	−0.550620	+	0.221579i
$31$	−6.65619			−1.19549			−0.597744	−	0.801687i	$-0.703936\pi$
$31$	−6.65619			−1.19549			−0.597744	+	0.801687i	$0.703936\pi$
$32$	−0.664550	−	5.61768i	−0.117477	−	0.993076i
$33$	−1.23988	−	2.57464i	−0.215836	−	0.448187i
$34$	−6.39718	−	3.62050i	−1.09711	−	0.620911i
$35$	5.99894	+	1.00104i	1.01401	+	0.169207i
$36$	0.183700	+	1.99155i	0.0306166	+	0.331924i
$37$	0.180448	−	0.790596i	0.0296655	−	0.129973i	−0.957927	−	0.287013i	$-0.907338\pi$
$37$	0.180448	−	0.790596i	0.0296655	−	0.129973i	0.987592	+	0.157039i	$0.0501950\pi$
$38$	−3.58208	−	1.07132i	−0.581089	−	0.173790i
$39$	1.89428	+	3.93352i	0.303328	+	0.629868i
$40$	6.29942	−	1.60964i	0.996025	−	0.254506i
$41$	−4.07245	+	8.45653i	−0.636010	+	1.32069i	0.294931	+	0.955519i	$0.404703\pi$
$41$	−4.07245	+	8.45653i	−0.636010	+	1.32069i	−0.930941	+	0.365170i	$0.881011\pi$
$42$	1.64753	−	3.35941i	0.254219	−	0.518368i
$43$	4.68387	+	9.72616i	0.714284	+	1.48323i	0.868762	+	0.495229i	$0.164916\pi$
$43$	4.68387	+	9.72616i	0.714284	+	1.48323i	−0.154479	+	0.987996i	$0.549370\pi$
$44$	1.77818	+	5.43161i	0.268070	+	0.818846i
$45$	−2.24110	+	0.511517i	−0.334084	+	0.0762525i
$46$	10.9792	+	0.727998i	1.61880	+	0.107337i
$47$	3.13542	−	3.93169i	0.457347	−	0.573496i	−0.498675	−	0.866789i	$-0.666180\pi$
$47$	3.13542	−	3.93169i	0.457347	−	0.573496i	0.956022	+	0.293293i	$0.0947513\pi$
$48$	0.161718	−	3.99673i	0.0233420	−	0.576878i
$49$	−5.90497	+	3.75917i	−0.843567	+	0.537024i
$50$	0.150046	+	0.372860i	0.0212196	+	0.0527304i
$51$	−4.06372	−	3.24070i	−0.569034	−	0.453789i
$52$	−2.71669	−	8.29839i	−0.376737	−	1.15078i
$53$	2.95859	+	12.9624i	0.406393	+	1.78053i	0.600584	+	0.799561i	$0.294935\pi$
$53$	2.95859	+	12.9624i	0.406393	+	1.78053i	−0.194191	+	0.980964i	$0.562208\pi$
$54$	−0.0935667	+	1.41111i	−0.0127328	+	0.192028i
$55$	−5.91842	+	2.85016i	−0.798040	+	0.384316i
$56$	−4.15332	+	6.22494i	−0.555011	+	0.831843i
$57$	−2.38195	−	1.14709i	−0.315497	−	0.151935i
$58$	5.92237	−	10.4644i	0.777645	−	1.37405i
$59$	6.88312	−	3.31473i	0.896105	−	0.431542i	0.0716247	−	0.997432i	$-0.477182\pi$
$59$	6.88312	−	3.31473i	0.896105	−	0.431542i	0.824481	+	0.565890i	$0.191467\pi$
$60$	4.57804	−	0.422277i	0.591023	−	0.0545158i
$61$	7.63500	+	1.74264i	0.977562	+	0.223122i	0.681316	−	0.731989i	$-0.261408\pi$
$61$	7.63500	+	1.74264i	0.977562	+	0.223122i	0.296246	+	0.955112i	$0.404265\pi$
$62$	9.01858	+	2.69725i	1.14536	+	0.342551i
$63$	1.52464	−	2.16228i	0.192087	−	0.272422i
$64$	−1.37601	+	7.88077i	−0.172001	+	0.985097i
$65$	9.04214	−	4.35446i	1.12154	−	0.540105i
$66$	0.636629	+	3.99085i	0.0783636	+	0.491239i
$67$			5.70383i			0.696834i	0.937340	+	0.348417i	$0.113281\pi$
$67$			5.70383i			0.696834i	−0.937340	+	0.348417i	$0.886719\pi$
$68$	7.20052	+	7.49776i	0.873191	+	0.909237i
$69$	7.58545	+	1.73133i	0.913180	+	0.208427i
$70$	−7.72241	−	3.78724i	−0.923004	−	0.452662i
$71$	−8.17895	+	1.86679i	−0.970663	+	0.221547i	−0.678320	−	0.734766i	$-0.737292\pi$
$71$	−8.17895	+	1.86679i	−0.970663	+	0.221547i	−0.292343	+	0.956314i	$0.594435\pi$
$72$	0.558124	−	2.77281i	0.0657755	−	0.326779i
$73$	1.84284	−	1.46961i	0.215688	−	0.172005i	−0.509686	−	0.860361i	$-0.670238\pi$
$73$	1.84284	−	1.46961i	0.215688	−	0.172005i	0.725374	+	0.688355i	$0.241667\pi$
$74$	−0.564860	+	0.998069i	−0.0656637	+	0.116023i
$75$	0.0632403	+	0.277074i	0.00730236	+	0.0319937i
$76$	4.41929	+	2.90308i	0.506927	+	0.333006i
$77$	2.87267	−	6.99359i	0.327371	−	0.796993i
$78$	−0.972639	−	6.09720i	−0.110130	−	0.690371i
$79$			4.61143i			0.518826i	0.965766	+	0.259413i	$0.0835291\pi$
$79$			4.61143i			0.518826i	−0.965766	+	0.259413i	$0.916471\pi$
$80$	−9.18744	−	0.371748i	−1.02719	−	0.0415627i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	8.94461	−	9.80763i	0.987767	−	1.08307i
$83$	−5.20337	−	6.52482i	−0.571144	−	0.716192i	0.409430	−	0.912342i	$-0.365728\pi$
$83$	−5.20337	−	6.52482i	−0.571144	−	0.716192i	−0.980574	+	0.196150i	$0.937156\pi$
$84$	−3.59357	+	3.88410i	−0.392091	+	0.423790i
$85$	−7.44953	+	9.34142i	−0.808015	+	1.01322i
$86$	−2.40498	−	15.0761i	−0.259336	−	1.62570i
$87$	5.30110	−	6.64737i	0.568338	−	0.712673i
$88$	−0.208261	−	8.07993i	−0.0222007	−	0.861323i
$89$	0.225711	−	0.179999i	0.0239254	−	0.0190798i	−0.611454	−	0.791280i	$-0.709415\pi$
$89$	0.225711	−	0.179999i	0.0239254	−	0.0190798i	0.635379	+	0.772200i	$0.280844\pi$
$90$	3.24378	+	0.215085i	0.341925	+	0.0226720i
$91$	−4.38885	+	10.6848i	−0.460077	+	1.12007i
$92$	−14.5809	−	5.43541i	−1.52016	−	0.566680i
$93$	5.99702	+	2.88801i	0.621862	+	0.299473i
$94$	−5.84143	+	4.05656i	−0.602498	+	0.418402i
$95$	−2.63685	+	5.47548i	−0.270535	+	0.561772i
$96$	−1.83868	+	5.34970i	−0.187660	+	0.546001i
$97$			8.60689i			0.873897i	0.899487	+	0.436948i	$0.143941\pi$
$97$			8.60689i			0.873897i	−0.899487	+	0.436948i	$0.856059\pi$
$98$	9.52403	−	2.70052i	0.962073	−	0.272794i
$99$			2.85763i			0.287203i
$100$	−0.0522073	−	0.565996i	−0.00522073	−	0.0565996i
$101$	0.788844	−	1.63805i	0.0784929	−	0.162992i	−0.858029	−	0.513601i	$-0.828311\pi$
$101$	0.788844	−	1.63805i	0.0784929	−	0.162992i	0.936522	+	0.350609i	$0.114025\pi$
$102$	4.19278	+	6.03759i	0.415147	+	0.597811i
$103$	−3.03862	−	1.46332i	−0.299404	−	0.144186i	0.278150	−	0.960538i	$-0.410279\pi$
$103$	−3.03862	−	1.46332i	−0.299404	−	0.144186i	−0.577555	+	0.816352i	$0.695993\pi$
$104$	0.318181	+	12.3445i	0.0312002	+	1.21048i
$105$	−4.97052	−	3.50475i	−0.485073	−	0.342029i
$106$	1.24404	−	18.7619i	0.120832	−	1.82231i
$107$	−15.7408	+	12.5529i	−1.52172	+	1.21353i	−0.617429	+	0.786626i	$0.711826\pi$
$107$	−15.7408	+	12.5529i	−1.52172	+	1.21353i	−0.904295	+	0.426908i	$0.859603\pi$
$108$	0.698592	−	1.87402i	0.0672220	−	0.180328i
$109$	8.22318	−	10.3115i	0.787638	−	0.987667i	−0.212307	−	0.977203i	$-0.568098\pi$
$109$	8.22318	−	10.3115i	0.787638	−	0.987667i	0.999945	−	0.0104641i	$-0.00333089\pi$
$110$	9.17391	−	1.46344i	0.874698	−	0.139534i
$111$	−0.505605	+	0.634009i	−0.0479899	+	0.0601775i
$112$	8.14989	−	6.75125i	0.770092	−	0.637933i
$113$	−6.26748	−	7.85917i	−0.589595	−	0.739329i	0.394121	−	0.919059i	$-0.371049\pi$
$113$	−6.26748	−	7.85917i	−0.589595	−	0.739329i	−0.983716	+	0.179730i	$0.942478\pi$
$114$	2.76251	+	2.51943i	0.258733	+	0.235966i
$115$	3.97987	−	17.4370i	0.371125	−	1.62600i
$116$	−12.2647	+	11.7785i	−1.13875	+	1.09361i
$117$		−	4.36588i		−	0.403626i
$118$	−10.6692	+	1.70198i	−0.982184	+	0.156680i
$119$	−0.811614	−	13.7278i	−0.0744005	−	1.25843i
$120$	−6.37397	−	1.28298i	−0.581862	−	0.117120i
$121$	−0.630608	−	2.76287i	−0.0573280	−	0.251170i
$122$	−9.63862	−	5.45501i	−0.872640	−	0.493874i
$123$	7.33830	−	5.85210i	0.661672	−	0.527666i
$124$	−11.1264	−	7.30908i	−0.999182	−	0.656374i
$125$	−10.5686	+	2.41221i	−0.945285	+	0.215755i
$126$	−2.94197	+	2.31189i	−0.262091	+	0.205959i
$127$	0.762297	+	0.173989i	0.0676429	+	0.0154391i	0.256208	−	0.966622i	$-0.417527\pi$
$127$	0.762297	+	0.173989i	0.0676429	+	0.0154391i	−0.188566	+	0.982061i	$0.560384\pi$
$128$	5.05785	−	10.1202i	0.447055	−	0.894507i
$129$		−	10.7952i		−	0.950466i
$130$	−14.0159	+	2.23584i	−1.22927	+	0.196096i
$131$	−4.89616	+	2.35787i	−0.427779	+	0.206008i	−0.635370	−	0.772208i	$-0.719152\pi$
$131$	−4.89616	+	2.35787i	−0.427779	+	0.206008i	0.207590	+	0.978216i	$0.433438\pi$
$132$	0.754606	−	5.66523i	0.0656800	−	0.493095i
$133$	−1.95623	−	6.71562i	−0.169627	−	0.582318i
$134$	2.31133	−	7.72820i	0.199668	−	0.667615i
$135$	2.24110	+	0.511517i	0.192884	+	0.0440244i
$136$	−6.71782	−	13.0766i	−0.576048	−	1.12131i
$137$	5.90198	−	2.84224i	0.504240	−	0.242829i	−0.164430	−	0.986389i	$-0.552578\pi$
$137$	5.90198	−	2.84224i	0.504240	−	0.242829i	0.668670	+	0.743560i	$0.266864\pi$
$138$	−9.57606	−	5.41960i	−0.815168	−	0.461347i
$139$	−1.87568	−	0.903279i	−0.159093	−	0.0766151i	0.352643	−	0.935758i	$-0.385283\pi$
$139$	−1.87568	−	0.903279i	−0.159093	−	0.0766151i	−0.511736	+	0.859143i	$0.670997\pi$
$140$	8.92853	+	8.26069i	0.754598	+	0.698155i
$141$	−4.53081	+	2.18192i	−0.381563	+	0.183751i
$142$	11.8383	+	0.784958i	0.993444	+	0.0658722i
$143$	−2.77619	−	12.1633i	−0.232157	−	1.01715i
$144$	−1.87982	+	3.53076i	−0.156652	+	0.294230i
$145$	−15.2806	−	12.1858i	−1.26898	−	1.01198i
$146$	−3.09241	+	1.24444i	−0.255930	+	0.102991i
$147$	6.95123	−	0.824823i	0.573328	−	0.0680302i
$148$	1.16978	−	1.12340i	0.0961552	−	0.0923432i
$149$	11.3689	−	14.2562i	0.931379	−	1.16791i	−0.0541717	−	0.998532i	$-0.517252\pi$
$149$	11.3689	−	14.2562i	0.931379	−	1.16791i	0.985551	−	0.169381i	$-0.0541767\pi$
$150$	0.0265916	−	0.401038i	0.00217119	−	0.0327446i
$151$	7.50099	−	1.71205i	0.610422	−	0.139325i	0.0938753	−	0.995584i	$-0.470074\pi$
$151$	7.50099	−	1.71205i	0.610422	−	0.139325i	0.516546	+	0.856259i	$0.327217\pi$
$152$	−4.81136	−	5.72423i	−0.390253	−	0.464296i
$153$	2.25519	+	4.68295i	0.182321	+	0.378594i
$154$	−6.72619	+	8.31164i	−0.542012	+	0.669771i
$155$	6.63879	−	13.7856i	0.533240	−	1.10729i
$156$	−1.15288	+	8.65532i	−0.0923046	+	0.692980i
$157$	−0.479567	−	0.995831i	−0.0382736	−	0.0794760i	0.880955	−	0.473199i	$-0.156901\pi$
$157$	−0.479567	−	0.995831i	−0.0382736	−	0.0794760i	−0.919229	+	0.393724i	$0.871187\pi$
$158$	1.86866	−	6.24809i	0.148663	−	0.497072i
$159$	2.95859	−	12.9624i	0.234631	−	1.02799i
$160$	12.2976	+	4.22665i	0.972207	+	0.334146i
$161$	10.0107	+	17.9873i	0.788952	+	1.41760i
$162$	0.696560	−	1.23077i	0.0547270	−	0.0966987i
$163$	7.92956	+	16.4659i	0.621091	+	1.28971i	0.939757	+	0.341842i	$0.111051\pi$
$163$	7.92956	+	16.4659i	0.621091	+	1.28971i	−0.318666	+	0.947867i	$0.603235\pi$
$164$	−16.0935	+	9.66393i	−1.25669	+	0.754626i
$165$	6.56895			0.511392
$166$	4.40611	+	10.9491i	0.341981	+	0.849815i
$167$	−2.42700	+	10.6334i	−0.187807	+	0.822836i	0.789963	+	0.613155i	$0.210100\pi$
$167$	−2.42700	+	10.6334i	−0.187807	+	0.822836i	−0.977770	+	0.209681i	$0.932757\pi$
$168$	6.44291	−	3.80642i	0.497082	−	0.293672i
$169$	1.34868	+	5.90895i	0.103745	+	0.454534i
$170$	13.8788	−	9.63810i	1.06446	−	0.739209i
$171$	1.64836	+	2.06698i	0.126053	+	0.158066i
$172$	−2.85066	+	21.4014i	−0.217361	+	1.63184i
$173$	−5.13517	+	1.17207i	−0.390420	+	0.0891108i	−0.413225	−	0.910629i	$-0.635598\pi$
$173$	−5.13517	+	1.17207i	−0.390420	+	0.0891108i	0.0228048	+	0.999740i	$0.492740\pi$
$174$	−9.87621	+	6.85849i	−0.748714	+	0.519941i
$175$	−0.433302	+	0.614519i	−0.0327545	+	0.0464533i
$176$	−2.99200	+	11.0320i	−0.225530	+	0.831569i
$177$	−7.63968			−0.574234
$178$	−0.378759	+	0.152419i	−0.0283892	+	0.0114243i
$179$	−6.36169	−	1.45201i	−0.475495	−	0.108529i	−0.0219444	−	0.999759i	$-0.506986\pi$
$179$	−6.36169	−	1.45201i	−0.475495	−	0.108529i	−0.453550	+	0.891231i	$0.649843\pi$
$180$	−4.30789	−	1.60588i	−0.321091	−	0.119695i
$181$	10.4829	−	8.35979i	0.779184	−	0.621379i	−0.150974	−	0.988538i	$-0.548241\pi$
$181$	10.4829	−	8.35979i	0.779184	−	0.621379i	0.930158	+	0.367159i	$0.119670\pi$
$182$	10.2762	−	12.6985i	0.761726	−	0.941274i
$183$	−6.12280	−	4.88277i	−0.452610	−	0.360945i
$184$	17.5533	+	13.2730i	1.29405	+	0.978501i
$185$	1.45742	+	1.16225i	0.107152	+	0.0854506i
$186$	−6.95517	−	6.34315i	−0.509977	−	0.465102i
$187$	9.26075	+	11.6126i	0.677213	+	0.849198i
$188$	9.55846	−	3.12920i	0.697122	−	0.228221i
$189$	−2.31183	+	1.28663i	−0.168161	+	0.0935888i
$190$	5.79150	−	6.35029i	0.420160	−	0.460699i
$191$	6.49434	−	13.4856i	0.469914	−	0.975787i	−0.522476	−	0.852654i	$-0.674992\pi$
$191$	6.49434	−	13.4856i	0.469914	−	0.975787i	0.992390	−	0.123133i	$-0.0392942\pi$
$192$	4.65908	−	6.50330i	0.336240	−	0.469336i
$193$	7.84978	+	3.78025i	0.565039	+	0.272109i	0.694520	−	0.719473i	$-0.255617\pi$
$193$	7.84978	+	3.78025i	0.565039	+	0.272109i	−0.129481	+	0.991582i	$0.541331\pi$
$194$	3.48771	−	11.6616i	0.250403	−	0.837254i
$195$	−10.0360			−0.718694
$196$	−13.9986	−	0.200387i	−0.999898	−	0.0143133i
$197$	6.26140			0.446107			0.223053	−	0.974806i	$-0.428398\pi$
$197$	6.26140			0.446107			0.223053	+	0.974806i	$0.428398\pi$
$198$	1.15798	−	3.87185i	0.0822941	−	0.275160i
$199$	2.20878	+	1.06369i	0.156576	+	0.0754031i	0.510531	−	0.859860i	$-0.329449\pi$
$199$	2.20878	+	1.06369i	0.156576	+	0.0754031i	−0.353955	+	0.935263i	$0.615163\pi$
$200$	−0.158618	+	0.788031i	−0.0112160	+	0.0557222i
$201$	2.47480	−	5.13897i	0.174559	−	0.362475i
$202$	−1.73259	+	1.89976i	−0.121905	+	0.133667i
$203$	22.4558	−	1.32763i	1.57609	−	0.0931812i
$204$	−3.23428	−	9.87943i	−0.226445	−	0.691699i
$205$	−13.4525	−	16.8688i	−0.939560	−	1.17817i
$206$	3.52410	+	3.21400i	0.245536	+	0.223930i
$207$	−6.08306	−	4.85108i	−0.422802	−	0.337173i
$208$	4.57116	−	16.8546i	0.316953	−	1.16866i
$209$	5.90667	+	4.71041i	0.408573	+	0.325826i
$210$	5.31443	+	6.76281i	0.366730	+	0.466678i
$211$	−13.1978	+	10.5249i	−0.908571	+	0.724561i	−0.961722	−	0.274026i	$-0.911645\pi$
$211$	−13.1978	+	10.5249i	−0.908571	+	0.724561i	0.0531517	+	0.998586i	$0.483073\pi$
$212$	−9.28831	+	24.9166i	−0.637924	+	1.71128i
$213$	8.17895	+	1.86679i	0.560413	+	0.127911i
$214$	26.4142	−	10.6296i	1.80564	−	0.726621i
$215$	−24.8154			−1.69240
$216$	−1.70593	+	2.25606i	−0.116074	+	0.153505i
$217$	4.92520	+	16.9079i	0.334345	+	1.14778i
$218$	−15.3202	+	10.6390i	−1.03761	+	0.720567i
$219$	−2.29798	+	0.524499i	−0.155283	+	0.0354424i
$220$	−13.0229	−	1.73464i	−0.878003	−	0.116950i
$221$	−14.1485	−	17.7417i	−0.951733	−	1.19344i
$222$	0.941967	−	0.654145i	0.0632207	−	0.0439033i
$223$	−4.19263	−	18.3691i	−0.280759	−	1.23009i	−0.896823	−	0.442390i	$-0.854131\pi$
$223$	−4.19263	−	18.3691i	−0.280759	−	1.23009i	0.616064	−	0.787696i	$-0.288726\pi$
$224$	−13.7782	+	5.84484i	−0.920592	+	0.390525i
$225$	0.0632403	−	0.277074i	0.00421602	−	0.0184716i
$226$	5.30718	+	13.1882i	0.353028	+	0.877268i
$227$	−7.47985			−0.496455			−0.248227	−	0.968702i	$-0.579848\pi$
$227$	−7.47985			−0.496455			−0.248227	+	0.968702i	$0.579848\pi$
$228$	−2.72204	−	4.53304i	−0.180271	−	0.300208i
$229$	8.73522	+	18.1389i	0.577239	+	1.19865i	0.961341	+	0.275359i	$0.0887968\pi$
$229$	8.73522	+	18.1389i	0.577239	+	1.19865i	−0.384102	+	0.923291i	$0.625489\pi$
$230$	−12.4583	+	22.0129i	−0.821473	+	1.45148i
$231$	−5.62259	+	5.05460i	−0.369939	+	0.332568i
$232$	21.3906	−	10.9889i	1.40436	−	0.721458i
$233$	3.44906	−	15.1113i	0.225956	−	0.989977i	−0.726945	−	0.686695i	$-0.759061\pi$
$233$	3.44906	−	15.1113i	0.225956	−	0.989977i	0.952901	−	0.303281i	$-0.0980822\pi$
$234$	−1.76916	+	5.91540i	−0.115653	+	0.386701i
$235$	5.01567	+	10.4151i	0.327186	+	0.679409i
$236$	15.1456	+	2.01739i	0.985895	+	0.131321i
$237$	2.00082	−	4.15475i	0.129967	−	0.269880i
$238$	−4.46316	+	18.9289i	−0.289304	+	1.22698i
$239$	0.768059	+	1.59489i	0.0496816	+	0.103165i	0.924332	−	0.381590i	$-0.124623\pi$
$239$	0.768059	+	1.59489i	0.0496816	+	0.103165i	−0.874650	+	0.484755i	$0.838909\pi$
$240$	8.11630	+	4.32121i	0.523905	+	0.278933i
$241$	−25.8899	+	5.90920i	−1.66771	+	0.380645i	−0.949152	−	0.314817i	$-0.898057\pi$
$241$	−25.8899	+	5.90920i	−1.66771	+	0.380645i	−0.718563	+	0.695462i	$0.755200\pi$
$242$	−0.265161	+	3.99899i	−0.0170452	+	0.257065i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	10.8490	+	11.2969i	0.694537	+	0.723208i
$245$	−1.89605	−	15.9791i	−0.121134	−	1.02087i
$246$	−12.3142	+	4.95545i	−0.785124	+	0.315948i
$247$	−9.02418	−	7.19654i	−0.574195	−	0.457905i
$248$	12.1135	+	14.4119i	0.769210	+	0.915154i
$249$	1.85706	+	8.13631i	0.117686	+	0.515618i
$250$	15.2970	+	1.01430i	0.967470	+	0.0641500i
$251$	14.7896	−	7.12228i	0.933509	−	0.449554i	0.0956342	−	0.995417i	$-0.469512\pi$
$251$	14.7896	−	7.12228i	0.933509	−	0.449554i	0.837875	+	0.545862i	$0.183798\pi$
$252$	4.92295	−	1.94026i	0.310116	−	0.122225i
$253$	−20.0320	−	9.64692i	−1.25940	−	0.606497i
$254$	−0.962343	−	0.544641i	−0.0603828	−	0.0341738i
$255$	10.7649	−	5.18410i	0.674123	−	0.324641i
$256$	−10.9539	+	11.6624i	−0.684618	+	0.728902i
$257$	−26.5300	−	6.05531i	−1.65490	−	0.377720i	−0.709774	−	0.704429i	$-0.751203\pi$
$257$	−26.5300	−	6.05531i	−1.65490	−	0.377720i	−0.945125	+	0.326710i	$0.894060\pi$
$258$	−4.37448	+	14.6266i	−0.272343	+	0.910613i
$259$	−2.14177	+	0.126626i	−0.133083	+	0.00786813i
$260$	19.8963	+	2.65018i	1.23392	+	0.164357i
$261$	−7.66031	+	3.68901i	−0.474162	+	0.228344i
$262$	7.58934	−	1.21067i	0.468871	−	0.0747954i
$263$			12.8744i			0.793869i	0.917847	+	0.396934i	$0.129926\pi$
$263$			12.8744i			0.793869i	−0.917847	+	0.396934i	$0.870074\pi$
$264$	−3.31811	+	7.37012i	−0.204216	+	0.453600i
$265$	−29.7972	−	6.80102i	−1.83043	−	0.417783i
$266$	−0.0707960	+	9.89181i	−0.00434078	+	0.606506i
$267$	−0.281457	+	0.0642408i	−0.0172249	+	0.00393147i
$268$	−6.26330	+	9.53445i	−0.382592	+	0.582409i
$269$	13.1095	−	10.4544i	0.799297	−	0.637418i	−0.136228	−	0.990677i	$-0.543498\pi$
$269$	13.1095	−	10.4544i	0.799297	−	0.637418i	0.935526	+	0.353259i	$0.114927\pi$
$270$	−2.82923	−	1.60121i	−0.172181	−	0.0974466i
$271$	6.52779	+	28.6001i	0.396535	+	1.73733i	0.640875	+	0.767645i	$0.278571\pi$
$271$	6.52779	+	28.6001i	0.396535	+	1.73733i	−0.244340	+	0.969690i	$0.578571\pi$
$272$	3.80311	+	20.4400i	0.230597	+	1.23935i
$273$	8.59017	−	7.72239i	0.519901	−	0.467381i
$274$	−9.14842	+	1.45938i	−0.552676	+	0.0881642i
$275$		−	0.812137i		−	0.0489737i
$276$	10.7786	+	11.2235i	0.648795	+	0.675578i
$277$	−3.44803	+	15.1068i	−0.207172	+	0.907679i	0.759266	+	0.650780i	$0.225558\pi$
$277$	−3.44803	+	15.1068i	−0.207172	+	0.907679i	−0.966438	+	0.256899i	$0.917299\pi$
$278$	2.17535	+	1.98393i	0.130469	+	0.118988i
$279$	−4.15007	−	5.20402i	−0.248458	−	0.311557i
$280$	−8.74997	−	14.8106i	−0.522911	−	0.885101i
$281$	7.77781	−	9.75306i	0.463985	−	0.581819i	−0.493702	−	0.869631i	$-0.664357\pi$
$281$	7.77781	−	9.75306i	0.463985	−	0.581819i	0.957687	+	0.287812i	$0.0929280\pi$
$282$	7.02302	−	1.12033i	0.418215	−	0.0667146i
$283$	10.7094	−	13.4291i	0.636605	−	0.798278i	−0.353969	−	0.935257i	$-0.615168\pi$
$283$	10.7094	−	13.4291i	0.636605	−	0.798278i	0.990574	+	0.136980i	$0.0437395\pi$
$284$	−15.7217	−	5.86069i	−0.932913	−	0.347768i
$285$	4.75144	−	3.78915i	0.281451	−	0.224450i
$286$	−1.16735	+	17.6052i	−0.0690266	+	1.04102i
$287$	24.4944	+	4.08738i	1.44586	+	0.241271i
$288$	3.97774	−	4.02213i	0.234391	−	0.237007i
$289$	9.02406	+	4.34576i	0.530827	+	0.255633i
$290$	15.7659	+	22.7028i	0.925804	+	1.33316i
$291$	3.73439	−	7.75454i	0.218914	−	0.454579i
$292$	4.69423	−	0.432994i	0.274709	−	0.0253391i
$293$			11.6763i			0.682139i	0.940038	+	0.341070i	$0.110789\pi$
$293$			11.6763i			0.682139i	−0.940038	+	0.341070i	$0.889211\pi$
$294$	−9.75257	−	1.69924i	−0.568781	−	0.0991016i
$295$			17.5616i			1.02248i
$296$	−2.04018	+	1.04809i	−0.118583	+	0.0609192i
$297$	1.23988	−	2.57464i	0.0719452	−	0.149396i
$298$	−21.1809	+	14.7090i	−1.22697	+	0.852067i
$299$	30.6048	+	14.7385i	1.76992	+	0.852351i
$300$	−0.198539	+	0.532596i	−0.0114627	+	0.0307495i
$301$	21.2403	−	19.0946i	1.22427	−	1.10060i
$302$	−10.8570	−	0.719892i	−0.624748	−	0.0414251i
$303$	−1.42145	+	1.13357i	−0.0816600	+	0.0651217i
$304$	4.19939	+	9.70551i	0.240852	+	0.556649i
$305$	−11.2242	+	14.0747i	−0.642696	+	0.805916i
$306$	−1.15795	−	7.25886i	−0.0661956	−	0.414961i
$307$	10.2205	−	12.8161i	0.583314	−	0.731453i	−0.399360	−	0.916794i	$-0.630768\pi$
$307$	10.2205	−	12.8161i	0.583314	−	0.731453i	0.982674	+	0.185342i	$0.0593391\pi$
$308$	12.4815	−	8.53596i	0.711199	−	0.486381i
$309$	2.10279	+	2.63682i	0.119624	+	0.150003i
$310$	−14.5812	+	15.9881i	−0.828159	+	0.908063i
$311$	−3.53949	+	15.5075i	−0.200706	+	0.879350i	0.769802	+	0.638282i	$0.220355\pi$
$311$	−3.53949	+	15.5075i	−0.200706	+	0.879350i	−0.970508	+	0.241068i	$0.922502\pi$
$312$	5.06940	−	11.2600i	0.286998	−	0.637474i
$313$		−	28.5258i		−	1.61238i	−0.591660	−	0.806188i	$-0.701527\pi$
$313$		−	28.5258i		−	1.61238i	0.591660	−	0.806188i	$-0.298473\pi$
$314$	0.246238	+	1.54360i	0.0138960	+	0.0871103i
$315$	2.95763	+	5.31430i	0.166644	+	0.299427i
$316$	−5.06375	+	7.70841i	−0.284858	+	0.433632i
$317$	4.60194	+	20.1624i	0.258471	+	1.13243i	0.922887	+	0.385071i	$0.125823\pi$
$317$	4.60194	+	20.1624i	0.258471	+	1.13243i	−0.664416	+	0.747363i	$0.731320\pi$
$318$	−9.26131	+	16.3641i	−0.519348	+	0.917652i
$319$	−18.9958	+	15.1486i	−1.06356	+	0.848159i
$320$	−14.9494	−	10.7100i	−0.835697	−	0.598708i
$321$	19.6285	−	4.48008i	1.09556	−	0.250054i
$322$	−6.27475	−	28.4278i	−0.349678	−	1.58422i
$323$	13.3969	+	3.05776i	0.745425	+	0.170138i
$324$	−1.44252	+	1.38533i	−0.0801399	+	0.0769628i
$325$			1.24078i			0.0688260i
$326$	−4.07151	−	25.5231i	−0.225500	−	1.41360i
$327$	−11.8828	+	5.72248i	−0.657123	+	0.316454i
$328$	25.7213	−	6.57236i	1.42022	−	0.362898i
$329$	−12.3072	−	5.05528i	−0.678518	−	0.278707i
$330$	−8.90037	−	2.66189i	−0.489949	−	0.146532i
$331$	5.01372	+	1.14435i	0.275579	+	0.0628991i	0.358077	−	0.933692i	$-0.383433\pi$
$331$	5.01372	+	1.14435i	0.275579	+	0.0628991i	−0.0824979	+	0.996591i	$0.526290\pi$
$332$	−1.53308	−	16.6206i	−0.0841384	−	0.912171i
$333$	0.730621	−	0.351848i	0.0400378	−	0.0192812i
$334$	7.59727	−	13.4239i	0.415704	−	0.734520i
$335$	−11.8132	−	5.68892i	−0.645422	−	0.310819i
$336$	−10.2721	+	2.54656i	−0.560386	+	0.138926i
$337$	−13.0106	+	6.26555i	−0.708730	+	0.341306i	−0.753279	−	0.657701i	$-0.771529\pi$
$337$	−13.0106	+	6.26555i	−0.708730	+	0.341306i	0.0445492	+	0.999007i	$0.485815\pi$
$338$	0.567099	−	8.55264i	0.0308461	−	0.465202i
$339$	2.23684	+	9.80023i	0.121488	+	0.532275i
$340$	−22.7102	+	7.43477i	−1.23164	+	0.403207i
$341$	−14.8712	−	11.8594i	−0.805320	−	0.642222i
$342$	−1.39580	−	3.46853i	−0.0754762	−	0.187557i
$343$	13.9183	+	12.2181i	0.751516	+	0.659714i
$344$	12.5348	−	27.8420i	0.675829	−	1.50114i
$345$	−11.1514	+	13.9834i	−0.600369	+	0.752839i
$346$	7.43267	+	0.492837i	0.399583	+	0.0264951i
$347$	25.9773	−	5.92916i	1.39454	−	0.318294i	0.541744	−	0.840543i	$-0.317764\pi$
$347$	25.9773	−	5.92916i	1.39454	−	0.318294i	0.852793	+	0.522250i	$0.174907\pi$
$348$	16.1606	−	5.29060i	0.866302	−	0.283606i
$349$	−0.599395	−	1.24466i	−0.0320849	−	0.0666249i	0.884310	−	0.466900i	$-0.154629\pi$
$349$	−0.599395	−	1.24466i	−0.0320849	−	0.0666249i	−0.916395	+	0.400275i	$0.868915\pi$
$350$	0.836104	−	0.657037i	0.0446917	−	0.0351201i
$351$	−1.89428	+	3.93352i	−0.101109	+	0.209956i
$352$	8.52433	−	13.7350i	0.454348	−	0.732078i
$353$	0.0109126	+	0.0226603i	0.000580821	+	0.00120609i	0.901259	−	0.433281i	$-0.142644\pi$
$353$	0.0109126	+	0.0226603i	0.000580821	+	0.00120609i	−0.900678	+	0.434487i	$0.856930\pi$
$354$	10.3511	+	3.09578i	0.550156	+	0.164539i
$355$	4.29127	−	18.8013i	0.227757	−	0.997868i
$356$	0.574951	−	0.0530333i	0.0304723	−	0.00281076i
$357$	−5.22504	+	12.7205i	−0.276538	+	0.673239i
$358$	8.03115	+	4.54526i	0.424460	+	0.240224i
$359$	−1.51042	−	3.13642i	−0.0797169	−	0.165534i	0.857301	−	0.514816i	$-0.172140\pi$
$359$	−1.51042	−	3.13642i	−0.0797169	−	0.165534i	−0.937018	+	0.349282i	$0.886425\pi$
$360$	5.18609	+	3.92149i	0.273331	+	0.206681i
$361$	−12.0105			−0.632132
$362$	−17.5910	+	7.07891i	−0.924560	+	0.372059i
$363$	−0.630608	+	2.76287i	−0.0330983	+	0.145013i
$364$	−19.0692	+	13.0412i	−0.999495	+	0.683544i
$365$	1.20569	+	5.28245i	0.0631085	+	0.276496i
$366$	6.31726	+	9.09684i	0.330208	+	0.475499i
$367$	−4.63394	−	5.81078i	−0.241890	−	0.303320i	0.646036	−	0.763307i	$-0.276426\pi$
$367$	−4.63394	−	5.81078i	−0.241890	−	0.303320i	−0.887926	+	0.459987i	$0.847854\pi$
$368$	−18.4047	−	25.0968i	−0.959411	−	1.30826i
$369$	−9.15071	+	2.08859i	−0.476367	+	0.108728i
$370$	−1.50371	−	2.16534i	−0.0781741	−	0.112570i
$371$	30.7376	−	17.1068i	1.59582	−	0.888140i
$372$	6.85326	+	11.4128i	0.355325	+	0.591727i
$373$	29.9926			1.55296			0.776478	−	0.630144i	$-0.217004\pi$
$373$	29.9926			1.55296			0.776478	+	0.630144i	$0.217004\pi$
$374$	−7.84182	−	19.4868i	−0.405491	−	1.00764i
$375$	10.5686	+	2.41221i	0.545760	+	0.124566i
$376$	−14.2189	+	0.366495i	−0.733285	+	0.0189005i
$377$	29.0216	−	23.1440i	1.49469	−	1.19198i
$378$	3.65371	−	0.806469i	0.187927	−	0.0414803i
$379$	−16.2820	−	12.9845i	−0.836350	−	0.666967i	0.108634	−	0.994082i	$-0.465352\pi$
$379$	−16.2820	−	12.9845i	−0.836350	−	0.666967i	−0.944985	+	0.327115i	$0.893924\pi$
$380$	−10.4203	+	6.25725i	−0.534549	+	0.320990i
$381$	−0.611315	−	0.487507i	−0.0313186	−	0.0249758i
$382$	−14.2640	+	15.6402i	−0.729809	+	0.800224i
$383$	1.35079	+	1.69383i	0.0690220	+	0.0865509i	0.815144	−	0.579259i	$-0.196658\pi$
$383$	1.35079	+	1.69383i	0.0690220	+	0.0865509i	−0.746122	+	0.665809i	$0.768086\pi$
$384$	−8.94795	+	6.92346i	−0.456623	+	0.353311i
$385$	11.6192	+	12.9249i	0.592170	+	0.658712i
$386$	−9.10393	−	8.30284i	−0.463378	−	0.422603i
$387$	−4.68387	+	9.72616i	−0.238095	+	0.494408i
$388$	−9.45111	+	14.3872i	−0.479807	+	0.730398i
$389$	−1.75878	−	0.846986i	−0.0891739	−	0.0429439i	0.388765	−	0.921337i	$-0.372902\pi$
$389$	−1.75878	−	0.846986i	−0.0891739	−	0.0429439i	−0.477939	+	0.878393i	$0.658616\pi$
$390$	13.5979	+	4.06683i	0.688559	+	0.205932i
$391$	−40.4407			−2.04517
$392$	18.8857	+	5.94405i	0.953870	+	0.300220i
$393$	5.43433			0.274126
$394$	−8.48367	−	2.53727i	−0.427401	−	0.127826i
$395$	−9.55069	−	4.59937i	−0.480548	−	0.231419i
$396$	−3.13793	+	4.77679i	−0.157687	+	0.240043i
$397$	3.14458	−	6.52980i	0.157822	−	0.327721i	−0.807032	−	0.590508i	$-0.798927\pi$
$397$	3.14458	−	6.52980i	0.157822	−	0.327721i	0.964854	+	0.262787i	$0.0846417\pi$
$398$	−2.56167	−	2.33626i	−0.128405	−	0.117106i
$399$	−1.15129	+	6.89935i	−0.0576367	+	0.345399i
$400$	0.534243	−	1.00344i	0.0267121	−	0.0501720i
$401$	8.41839	+	10.5563i	0.420394	+	0.527158i	0.946259	−	0.323410i	$-0.104829\pi$
$401$	8.41839	+	10.5563i	0.420394	+	0.527158i	−0.525864	+	0.850568i	$0.676258\pi$
$402$	−5.43557	+	5.96002i	−0.271102	+	0.297259i
$403$	22.7201	+	18.1187i	1.13177	+	0.902557i
$404$	3.11734	−	1.87193i	0.155094	−	0.0931319i
$405$	−1.79723	−	1.43324i	−0.0893049	−	0.0712183i
$406$	−30.9637	−	7.30079i	−1.53670	−	0.362332i
$407$	1.81177	−	1.44484i	0.0898059	−	0.0716178i
$408$	0.378802	+	14.6964i	0.0187535	+	0.727580i
$409$	17.5444	+	4.00439i	0.867514	+	0.198004i	0.633041	−	0.774118i	$-0.281806\pi$
$409$	17.5444	+	4.00439i	0.867514	+	0.198004i	0.234473	+	0.972123i	$0.424664\pi$
$410$	11.3913	+	28.3071i	0.562575	+	1.39799i
$411$	−6.55070			−0.323122
$412$	−3.47247	−	5.78274i	−0.171076	−	0.284895i
$413$	−13.5131	−	15.0316i	−0.664937	−	0.739657i
$414$	6.27625	+	9.03779i	0.308461	+	0.444183i
$415$	18.7033	−	4.26890i	0.918107	−	0.209552i
$416$	−13.0234	+	20.9843i	−0.638526	+	1.02884i
$417$	1.29801	+	1.62765i	0.0635638	+	0.0797065i
$418$	−6.09426	−	8.77573i	−0.298080	−	0.429235i
$419$	−5.57315	−	24.4176i	−0.272266	−	1.19288i	−0.907331	−	0.420417i	$-0.861884\pi$
$419$	−5.57315	−	24.4176i	−0.272266	−	1.19288i	0.635065	−	0.772459i	$-0.280973\pi$
$420$	−4.46015	−	11.3166i	−0.217633	−	0.552192i
$421$	−3.28306	+	14.3840i	−0.160006	+	0.701034i	0.829734	+	0.558159i	$0.188492\pi$
$421$	−3.28306	+	14.3840i	−0.160006	+	0.701034i	−0.989741	+	0.142875i	$0.954365\pi$
$422$	22.1467	−	8.91224i	1.07809	−	0.433841i
$423$	5.02882			0.244509
$424$	22.6817	−	29.9960i	1.10152	−	1.45674i
$425$	−0.640924	−	1.33089i	−0.0310894	−	0.0645577i
$426$	−10.3253	−	5.84365i	−0.500263	−	0.283126i
$427$	−1.22286	−	20.6837i	−0.0591783	−	1.00095i
$428$	−40.0964	+	3.69848i	−1.93813	+	0.178773i
$429$	−2.77619	+	12.1633i	−0.134036	+	0.587249i
$430$	33.6227	+	10.0558i	1.62143	+	0.484933i
$431$	0.829980	+	1.72347i	0.0399787	+	0.0830167i	0.920002	−	0.391915i	$-0.128187\pi$
$431$	0.829980	+	1.72347i	0.0399787	+	0.0830167i	−0.880023	+	0.474931i	$0.842473\pi$
$432$	3.22560	−	2.36548i	0.155192	−	0.113809i
$433$	8.77242	−	18.2161i	0.421575	−	0.875410i	−0.576714	−	0.816946i	$-0.695665\pi$
$433$	8.77242	−	18.2161i	0.421575	−	0.875410i	0.998290	−	0.0584643i	$-0.0186204\pi$
$434$	0.178243	−	24.9046i	0.00855592	−	1.19546i
$435$	8.48008	+	17.6091i	0.406589	+	0.844290i
$436$	25.0687	−	8.20689i	1.20058	−	0.393039i
$437$	−20.0541	+	4.57723i	−0.959319	+	0.218958i
$438$	3.32611	+	0.220544i	0.158927	+	0.0105380i
$439$	−16.6400	+	20.8659i	−0.794183	+	0.995874i	0.205668	+	0.978622i	$0.434063\pi$
$439$	−16.6400	+	20.8659i	−0.794183	+	0.995874i	−0.999851	+	0.0172525i	$0.994508\pi$
$440$	16.9420	+	7.62747i	0.807678	+	0.363625i
$441$	−6.62072	−	2.27289i	−0.315273	−	0.108233i
$442$	11.9807	+	29.7718i	0.569864	+	1.41610i
$443$	−3.86711	−	3.08392i	−0.183732	−	0.146521i	0.527305	−	0.849676i	$-0.323203\pi$
$443$	−3.86711	−	3.08392i	−0.183732	−	0.146521i	−0.711037	+	0.703155i	$0.751774\pi$
$444$	−1.54136	+	0.504604i	−0.0731497	+	0.0239474i
$445$	0.147673	+	0.646997i	0.00700036	+	0.0306706i
$446$	−1.76294	+	26.5875i	−0.0834775	+	1.25896i
$447$	−16.4286	+	7.91159i	−0.777045	+	0.374205i
$448$	21.0367	−	2.33602i	0.993891	−	0.110367i
$449$	2.53540	+	1.22099i	0.119653	+	0.0576219i	0.492753	−	0.870169i	$-0.335991\pi$
$449$	2.53540	+	1.22099i	0.119653	+	0.0576219i	−0.373100	+	0.927791i	$0.621705\pi$
$450$	−0.197962	+	0.349785i	−0.00933201	+	0.0164890i
$451$	−24.1657	+	11.6376i	−1.13792	+	0.547992i
$452$	−1.84660	−	20.0195i	−0.0868566	−	0.941640i
$453$	−7.50099	−	1.71205i	−0.352427	−	0.0804392i
$454$	10.1346	+	3.03101i	0.475638	+	0.142252i
$455$	−17.7518	−	19.7466i	−0.832216	−	0.925733i
$456$	1.85124	+	7.24492i	0.0866920	+	0.339274i
$457$	−8.21721	+	3.95720i	−0.384385	+	0.185110i	−0.616089	−	0.787676i	$-0.711284\pi$
$457$	−8.21721	+	3.95720i	−0.384385	+	0.185110i	0.231705	+	0.972786i	$0.425570\pi$
$458$	−4.48518	−	28.1163i	−0.209579	−	1.31379i
$459$		−	5.19769i		−	0.242607i
$460$	25.8000	−	24.7772i	1.20293	−	1.15524i
$461$	−13.3828	−	3.05454i	−0.623299	−	0.142264i	−0.100804	−	0.994906i	$-0.532142\pi$
$461$	−13.3828	−	3.05454i	−0.623299	−	0.142264i	−0.522495	+	0.852642i	$0.674999\pi$
$462$	9.66638	−	4.57015i	0.449720	−	0.212622i
$463$	3.11934	−	0.711970i	0.144968	−	0.0330880i	−0.149421	−	0.988774i	$-0.547741\pi$
$463$	3.11934	−	0.711970i	0.144968	−	0.0330880i	0.294389	+	0.955686i	$0.404884\pi$
$464$	−33.4354	+	6.22107i	−1.55220	+	0.288806i
$465$	−11.9627	+	9.53992i	−0.554756	+	0.442403i
$466$	−10.7967	+	19.0769i	−0.500146	+	0.883722i
$467$	2.01855	+	8.84386i	0.0934076	+	0.409245i	0.999916	−	0.0129419i	$-0.00411965\pi$
$467$	2.01855	+	8.84386i	0.0934076	+	0.409245i	−0.906509	+	0.422187i	$0.861263\pi$
$468$	4.79411	−	7.29795i	0.221608	−	0.337348i
$469$	14.4887	−	4.22051i	0.669027	−	0.194885i
$470$	−2.57534	−	16.1441i	−0.118792	−	0.744672i
$471$			1.10529i			0.0509290i
$472$	−19.7035	−	8.87074i	−0.906927	−	0.408309i
$473$	−6.86450	+	30.0754i	−0.315630	+	1.38287i
$474$	−4.39455	+	4.81856i	−0.201848	+	0.221324i
$475$	−0.468463	−	0.587433i	−0.0214945	−	0.0269533i
$476$	13.7176	−	23.8385i	0.628747	−	1.09263i
$477$	−8.28978	+	10.3951i	−0.379563	+	0.475957i
$478$	−0.394367	−	2.47218i	−0.0180379	−	0.113075i
$479$	13.7135	−	17.1962i	0.626586	−	0.785713i	−0.362669	−	0.931918i	$-0.618134\pi$
$479$	13.7135	−	17.1962i	0.626586	−	0.785713i	0.989254	+	0.146205i	$0.0467058\pi$
$480$	−9.24584	−	9.14379i	−0.422013	−	0.417355i
$481$	−2.76801	+	2.20741i	−0.126210	+	0.100649i
$482$	37.4732	+	2.48473i	1.70686	+	0.113176i
$483$	−1.21492	−	20.5494i	−0.0552808	−	0.935032i
$484$	1.97976	−	5.31085i	0.0899889	−	0.241402i
$485$	−17.8257	−	8.58438i	−0.809421	−	0.389797i
$486$	−1.16159	+	0.806662i	−0.0526909	+	0.0365909i
$487$	16.4198	−	34.0961i	0.744052	−	1.54504i	−0.0916086	−	0.995795i	$-0.529201\pi$
$487$	16.4198	−	34.0961i	0.744052	−	1.54504i	0.835661	−	0.549246i	$-0.185085\pi$
$488$	−10.1217	−	19.7026i	−0.458189	−	0.891893i
$489$		−	18.2758i		−	0.826459i
$490$	−3.90611	+	22.4186i	−0.176460	+	1.01277i
$491$			20.9308i			0.944594i	0.881440	+	0.472297i	$0.156575\pi$
$491$			20.9308i			0.944594i	−0.881440	+	0.472297i	$0.843425\pi$
$492$	18.6927	−	1.72421i	0.842733	−	0.0777335i
$493$	−19.1743	+	39.8159i	−0.863569	+	1.79322i
$494$	9.31079	+	13.4075i	0.418912	+	0.603232i
$495$	−5.91842	−	2.85016i	−0.266013	−	0.128105i
$496$	−10.5728	−	24.4355i	−0.474732	−	1.09719i
$497$	10.7939	+	19.3946i	0.484174	+	0.869969i
$498$	0.780866	−	11.7765i	0.0349914	−	0.527719i
$499$	−7.50542	+	5.98537i	−0.335989	+	0.267942i	−0.776921	−	0.629598i	$-0.783219\pi$
$499$	−7.50542	+	5.98537i	−0.335989	+	0.267942i	0.440932	+	0.897541i	$0.354648\pi$
$500$	−20.3152	−	7.57301i	−0.908522	−	0.338675i
$501$	6.80030	−	8.52731i	0.303815	−	0.380972i
$502$	−22.9247	+	3.65700i	−1.02318	+	0.163220i
$503$	−8.19604	+	10.2775i	−0.365443	+	0.458252i	−0.930225	−	0.366989i	$-0.880389\pi$
$503$	−8.19604	+	10.2775i	−0.365443	+	0.458252i	0.564782	+	0.825240i	$0.308960\pi$
$504$	−7.45641	+	0.633993i	−0.332135	+	0.0282403i
$505$	2.60577	+	3.26754i	0.115955	+	0.145403i
$506$	23.2325	+	21.1882i	1.03281	+	0.941931i
$507$	1.34868	−	5.90895i	0.0598969	−	0.262426i
$508$	1.08319	+	1.12791i	0.0480589	+	0.0500428i
$509$			5.39484i			0.239122i	0.992827	+	0.119561i	$0.0381487\pi$
$509$			5.39484i			0.239122i	−0.992827	+	0.119561i	$0.961851\pi$
$510$	−16.6862	+	2.66182i	−0.738878	+	0.117868i
$511$	−5.09667	−	3.59370i	−0.225463	−	0.158976i
$512$	19.5675	−	11.3628i	0.864768	−	0.502171i
$513$	−0.588293	−	2.57748i	−0.0259738	−	0.113799i
$514$	33.4922	+	18.9550i	1.47728	+	0.836070i
$515$	6.06136	−	4.83377i	0.267095	−	0.213001i
$516$	11.8541	−	18.0452i	0.521847	−	0.794394i
$517$	14.0102	−	3.19774i	0.616169	−	0.140637i
$518$	2.95323	+	0.696330i	0.129758	+	0.0305950i
$519$	5.13517	+	1.17207i	0.225409	+	0.0514481i
$520$	−25.8839	−	11.6532i	−1.13508	−	0.511027i
$521$		−	20.1568i		−	0.883085i	−0.897240	−	0.441542i	$-0.854432\pi$
$521$		−	20.1568i		−	0.883085i	0.897240	−	0.441542i	$-0.145568\pi$
$522$	11.8739	−	1.89416i	0.519709	−	0.0829051i
$523$	−23.9666	+	11.5417i	−1.04799	+	0.504684i	−0.876951	−	0.480580i	$-0.840426\pi$
$523$	−23.9666	+	11.5417i	−1.04799	+	0.504684i	−0.171037	+	0.985265i	$0.554712\pi$
$524$	−10.7735	−	1.43502i	−0.470643	−	0.0626894i
$525$	0.657021	−	0.365660i	0.0286748	−	0.0159587i
$526$	5.21700	−	17.4437i	0.227472	−	0.760581i
$527$	−33.7294	−	7.69852i	−1.46928	−	0.335353i
$528$	7.48231	−	8.64131i	0.325626	−	0.376065i
$529$	33.8192	−	16.2865i	1.47040	−	0.708108i
$530$	37.6167	+	21.2893i	1.63397	+	0.924749i
$531$	6.88312	+	3.31473i	0.298702	+	0.143847i
$532$	4.10431	−	13.3739i	0.177945	−	0.579831i
$533$	36.9202	−	17.7798i	1.59919	−	0.770130i
$534$	0.407383	+	0.0270123i	0.0176292	+	0.00116894i
$535$	−10.2985	−	45.1208i	−0.445244	−	1.95074i
$536$	12.3498	−	10.3803i	0.533431	−	0.448362i
$537$	5.10168	+	4.06845i	0.220154	+	0.175567i
$538$	−21.9986	+	8.85262i	−0.948426	+	0.381663i
$539$	−19.8905	−	2.12223i	−0.856746	−	0.0914109i
$540$	3.18451	+	3.31597i	0.137040	+	0.142697i
$541$	0.446562	−	0.559971i	0.0191992	−	0.0240750i	−0.772139	−	0.635453i	$-0.780813\pi$
$541$	0.446562	−	0.559971i	0.0191992	−	0.0240750i	0.791338	+	0.611378i	$0.209385\pi$
$542$	2.74484	−	41.3960i	0.117901	−	1.77811i
$543$	−13.0719	+	2.98358i	−0.560969	+	0.128038i
$544$	3.12986	−	29.2355i	0.134192	−	1.25346i
$545$	13.1545	+	27.3156i	0.563476	+	1.17007i
$546$	−14.7682	+	6.98225i	−0.632022	+	0.298813i
$547$	−1.96892	+	4.08850i	−0.0841849	+	0.174812i	−0.938812	−	0.344431i	$-0.888072\pi$
$547$	−1.96892	+	4.08850i	−0.0841849	+	0.174812i	0.854627	+	0.519243i	$0.173786\pi$
$548$	12.9867	+	1.72982i	0.554765	+	0.0738944i
$549$	3.39790	+	7.05581i	0.145019	+	0.301134i
$550$	−0.329097	+	1.10038i	−0.0140327	+	0.0469202i
$551$	−5.00185	+	21.9145i	−0.213086	+	0.933590i
$552$	−10.0560	−	19.5747i	−0.428013	−	0.833154i
$553$	11.7138	−	3.41219i	0.498123	−	0.145101i
$554$	10.7934	−	19.0712i	0.458568	−	0.810258i
$555$	−0.808808	−	1.67951i	−0.0343320	−	0.0712911i
$556$	−2.14348	−	3.56957i	−0.0909039	−	0.151383i
$557$	−11.7580			−0.498204			−0.249102	−	0.968477i	$-0.580135\pi$
$557$	−11.7580			−0.498204			−0.249102	+	0.968477i	$0.580135\pi$
$558$	3.51420	+	8.73271i	0.148768	+	0.369685i
$559$	10.4876	−	45.9490i	0.443576	−	1.94343i
$560$	5.85387	+	23.6128i	0.247371	+	0.997821i
$561$	−3.30512	−	14.4807i	−0.139542	−	0.611375i
$562$	−14.4904	+	10.0628i	−0.611242	+	0.424474i
$563$	−8.07759	−	10.1290i	−0.340430	−	0.426886i	0.581917	−	0.813248i	$-0.302303\pi$
$563$	−8.07759	−	10.1290i	−0.340430	−	0.426886i	−0.922347	+	0.386362i	$0.873731\pi$
$564$	−9.96958	−	1.32794i	−0.419795	−	0.0559165i
$565$	22.5282	−	5.14191i	0.947767	−	0.216322i
$566$	−19.9521	+	13.8556i	−0.838647	+	0.582395i
$567$	2.64114	−	0.156149i	0.110917	−	0.00655764i
$568$	18.9267	+	14.3115i	0.794148	+	0.600499i
$569$	−16.0688			−0.673639			−0.336820	−	0.941569i	$-0.609351\pi$
$569$	−16.0688			−0.673639			−0.336820	+	0.941569i	$0.609351\pi$
$570$	−7.97325	+	3.20858i	−0.333963	+	0.134393i
$571$	−4.13370	−	0.943490i	−0.172990	−	0.0394838i	0.135149	−	0.990825i	$-0.456849\pi$
$571$	−4.13370	−	0.943490i	−0.172990	−	0.0394838i	−0.308138	+	0.951342i	$0.599706\pi$
$572$	8.71569	−	23.3805i	0.364421	−	0.977588i
$573$	−11.7024	+	9.33236i	−0.488875	+	0.389865i
$574$	−31.5316	−	15.4638i	−1.31610	−	0.645446i
$575$	1.72880	+	1.37867i	0.0720959	+	0.0574946i
$576$	−7.01936	+	3.83778i	−0.292474	+	0.159907i
$577$	24.2622	+	19.3485i	1.01005	+	0.805488i	0.980984	−	0.194090i	$-0.0621754\pi$
$577$	24.2622	+	19.3485i	1.01005	+	0.805488i	0.0290657	+	0.999578i	$0.490747\pi$
$578$	−10.4658	−	9.54489i	−0.435321	−	0.397015i
$579$	−5.43222	−	6.81178i	−0.225755	−	0.283088i
$580$	−12.1617	−	37.1491i	−0.504987	−	1.54253i
$581$	−12.7240	+	18.0455i	−0.527880	+	0.748652i
$582$	−8.20210	+	8.99348i	−0.339988	+	0.372792i
$583$	−16.4852	+	34.2318i	−0.682746	+	1.41774i
$584$	−6.53574	−	1.31554i	−0.270451	−	0.0544374i
$585$	9.04214	+	4.35446i	0.373846	+	0.180035i
$586$	4.73153	−	15.8205i	0.195458	−	0.653537i
$587$	−8.45875			−0.349130			−0.174565	−	0.984646i	$-0.555852\pi$
$587$	−8.45875			−0.349130			−0.174565	+	0.984646i	$0.555852\pi$
$588$	12.5253	+	6.25429i	0.516536	+	0.257923i
$589$	−17.5974			−0.725089
$590$	7.11639	−	23.7945i	0.292977	−	0.979605i
$591$	−5.64133	−	2.71672i	−0.232053	−	0.111751i
$592$	3.18898	−	0.593350i	0.131066	−	0.0243865i
$593$	−10.7228	+	22.2662i	−0.440335	+	0.914364i	0.556189	+	0.831056i	$0.312263\pi$
$593$	−10.7228	+	22.2662i	−0.440335	+	0.914364i	−0.996524	+	0.0833085i	$0.973451\pi$
$594$	−2.72324	+	2.98599i	−0.111736	+	0.122517i
$595$	29.2411	+	12.0110i	1.19877	+	0.492403i
$596$	34.6587	−	11.3464i	1.41968	−	0.464767i
$597$	−1.52852	−	1.91671i	−0.0625582	−	0.0784456i
$598$	−35.4946	−	32.3712i	−1.45148	−	1.32376i
$599$	18.7705	+	14.9690i	0.766943	+	0.611617i	0.926814	−	0.375521i	$-0.122536\pi$
$599$	18.7705	+	14.9690i	0.766943	+	0.611617i	−0.159871	+	0.987138i	$0.551108\pi$
$600$	0.484824	−	0.641170i	0.0197929	−	0.0261756i
$601$	−8.57982	−	6.84217i	−0.349978	−	0.279098i	0.432683	−	0.901546i	$-0.357567\pi$
$601$	−8.57982	−	6.84217i	−0.349978	−	0.279098i	−0.782661	+	0.622448i	$0.786138\pi$
$602$	−36.5164	+	17.2645i	−1.48830	+	0.703650i
$603$	−4.45943	+	3.55628i	−0.181602	+	0.144823i
$604$	14.4185	+	5.37489i	0.586682	+	0.218701i
$605$	6.35112	+	1.44960i	0.258210	+	0.0589347i
$606$	2.38529	−	0.959882i	0.0968957	−	0.0389926i
$607$	−33.9924			−1.37971			−0.689854	−	0.723949i	$-0.742325\pi$
$607$	−33.9924			−1.37971			−0.689854	+	0.723949i	$0.742325\pi$
$608$	−1.75691	−	14.8518i	−0.0712523	−	0.602321i
$609$	−20.8080	−	8.54705i	−0.843182	−	0.346344i
$610$	20.9112	−	14.5217i	0.846672	−	0.587967i
$611$	−21.4047	+	4.88549i	−0.865943	+	0.197646i
$612$	−1.37254	+	10.3044i	−0.0554815	+	0.416529i
$613$	−27.8146	−	34.8784i	−1.12342	−	1.40872i	−0.901025	−	0.433767i	$-0.857184\pi$
$613$	−27.8146	−	34.8784i	−1.12342	−	1.40872i	−0.222395	−	0.974957i	$-0.571387\pi$
$614$	−19.0413	+	13.2231i	−0.768443	+	0.533642i
$615$	4.80112	+	21.0351i	0.193600	+	0.848217i
$616$	−20.3703	+	6.50770i	−0.820744	+	0.262203i
$617$	4.10213	−	17.9726i	0.165146	−	0.723550i	−0.822747	−	0.568408i	$-0.807559\pi$
$617$	4.10213	−	17.9726i	0.165146	−	0.723550i	0.987892	−	0.155142i	$-0.0495834\pi$
$618$	−1.78060	−	4.42476i	−0.0716264	−	0.177990i
$619$	24.7149			0.993375			0.496688	−	0.867929i	$-0.334549\pi$
$619$	24.7149			0.993375			0.496688	+	0.867929i	$0.334549\pi$
$620$	26.2351	−	15.7539i	1.05363	−	0.632690i
$621$	3.37584	+	7.01001i	0.135468	+	0.281302i
$622$	11.0797	−	19.5771i	0.444256	−	0.784969i
$623$	−0.624242	−	0.440157i	−0.0250097	−	0.0176345i
$624$	−11.4314	+	13.2022i	−0.457623	+	0.528509i
$625$	5.86125	−	25.6798i	0.234450	−	1.02719i
$626$	−11.5593	+	38.6501i	−0.462004	+	1.54477i
$627$	−3.27795	−	6.80674i	−0.130909	−	0.271835i
$628$	0.291870	−	2.19123i	0.0116469	−	0.0874394i
$629$	1.82880	−	3.79754i	0.0729190	−	0.151418i
$630$	−1.85386	−	8.39893i	−0.0738596	−	0.334621i
$631$	9.11944	+	18.9367i	0.363039	+	0.753859i	0.999853	−	0.0171590i	$-0.00546214\pi$
$631$	9.11944	+	18.9367i	0.363039	+	0.753859i	−0.636813	+	0.771018i	$0.719748\pi$
$632$	9.98457	−	8.39229i	0.397165	−	0.333827i
$633$	16.4573	−	3.75628i	0.654120	−	0.149299i
$634$	1.93505	−	29.1832i	0.0768505	−	1.15901i
$635$	−1.12065	+	1.40525i	−0.0444717	+	0.0557658i
$636$	19.1794	−	18.4190i	0.760512	−	0.730362i
$637$	30.3887	+	3.24233i	1.20404	+	0.128466i
$638$	31.8762	−	12.8276i	1.26199	−	0.507848i
$639$	−6.55901	−	5.23064i	−0.259470	−	0.206921i
$640$	15.9152	+	20.5690i	0.629104	+	0.813061i
$641$	2.68532	+	11.7652i	0.106064	+	0.464696i	0.999868	+	0.0162387i	$0.00516916\pi$
$641$	2.68532	+	11.7652i	0.106064	+	0.464696i	−0.893804	+	0.448457i	$0.851974\pi$
$642$	−28.4104	−	1.88381i	−1.12127	−	0.0743479i
$643$	14.7047	−	7.08140i	0.579896	−	0.279263i	−0.120854	−	0.992670i	$-0.538563\pi$
$643$	14.7047	−	7.08140i	0.579896	−	0.279263i	0.700750	+	0.713407i	$0.252849\pi$
$644$	−3.01785	+	41.0599i	−0.118920	+	1.61799i
$645$	22.3579	+	10.7670i	0.880341	+	0.423950i
$646$	−16.9126	−	9.57176i	−0.665418	−	0.376596i
$647$	−9.67581	+	4.65962i	−0.380395	+	0.183189i	−0.614303	−	0.789070i	$-0.710563\pi$
$647$	−9.67581	+	4.65962i	−0.380395	+	0.183189i	0.233908	+	0.972259i	$0.424849\pi$
$648$	2.51586	−	1.29246i	0.0988322	−	0.0507727i
$649$	21.2841	+	4.85795i	0.835473	+	0.190691i
$650$	0.502793	−	1.68115i	0.0197212	−	0.0659401i
$651$	2.89860	−	17.3705i	0.113605	−	0.680802i
$652$	−4.82602	+	36.2315i	−0.189002	+	1.41894i
$653$	−8.14842	+	3.92407i	−0.318872	+	0.153561i	−0.586472	−	0.809969i	$-0.699484\pi$
$653$	−8.14842	+	3.92407i	−0.318872	+	0.153561i	0.267600	+	0.963530i	$0.413769\pi$
$654$	18.4191	−	2.93826i	0.720245	−	0.114895i
$655$		−	12.4921i		−	0.488107i
$656$	−37.5135	−	1.51789i	−1.46465	−	0.0592638i
$657$	2.29798	+	0.524499i	0.0896527	+	0.0204627i
$658$	14.6267	+	11.8366i	0.570208	+	0.461440i
$659$	−5.69856	+	1.30066i	−0.221984	+	0.0506665i	−0.332066	−	0.943256i	$-0.607746\pi$
$659$	−5.69856	+	1.30066i	−0.221984	+	0.0506665i	0.110082	+	0.993923i	$0.464889\pi$
$660$	10.9806	+	7.21328i	0.427419	+	0.280777i
$661$	−32.6167	+	26.0109i	−1.26864	+	1.01171i	−0.269833	+	0.962907i	$0.586969\pi$
$661$	−32.6167	+	26.0109i	−1.26864	+	1.01171i	−0.998809	+	0.0488012i	$0.984460\pi$
$662$	−6.32944	−	3.58217i	−0.246001	−	0.139225i
$663$	5.04955	+	22.1235i	0.196108	+	0.859207i
$664$	−4.65785	+	23.1407i	−0.180760	+	0.898032i
$665$	15.8598	+	2.64652i	0.615016	+	0.102628i
$666$	−1.13251	+	0.180660i	−0.0438837	+	0.00700043i
$667$		−	66.1524i		−	2.56143i
$668$	−15.7333	+	15.1096i	−0.608740	+	0.584607i
$669$	−4.19263	+	18.3691i	−0.162096	+	0.710191i
$670$	13.7005	+	12.4950i	0.529298	+	0.482723i
$671$	13.9532	+	17.4967i	0.538656	+	0.675453i
$672$	14.9497	+	0.712105i	0.576696	+	0.0274700i
$673$	−6.02264	+	7.55216i	−0.232156	+	0.291114i	−0.884240	−	0.467032i	$-0.845323\pi$
$673$	−6.02264	+	7.55216i	−0.232156	+	0.291114i	0.652085	+	0.758146i	$0.273895\pi$
$674$	20.1671	−	3.21711i	0.776809	−	0.123918i
$675$	−0.177195	+	0.222196i	−0.00682025	+	0.00855232i
$676$	−4.23410	+	11.3583i	−0.162850	+	0.436857i
$677$	−16.4108	+	13.0872i	−0.630718	+	0.502981i	−0.885878	−	0.463918i	$-0.846443\pi$
$677$	−16.4108	+	13.0872i	−0.630718	+	0.502981i	0.255160	+	0.966899i	$0.417872\pi$
$678$	0.940557	−	14.1849i	0.0361219	−	0.544767i
$679$	21.8630	−	6.36860i	0.839025	−	0.244405i
$680$	33.7832	−	0.870766i	1.29553	−	0.0333924i
$681$	6.73911	+	3.24538i	0.258243	+	0.124363i
$682$	15.3435	+	22.0946i	0.587533	+	0.846046i
$683$	−20.5851	+	42.7455i	−0.787669	+	1.63561i	−0.0157610	+	0.999876i	$0.505017\pi$
$683$	−20.5851	+	42.7455i	−0.787669	+	1.63561i	−0.771908	+	0.635735i	$0.780697\pi$
$684$	0.485659	+	5.26518i	0.0185696	+	0.201319i
$685$			15.0584i			0.575350i
$686$	−13.9070	−	22.1945i	−0.530973	−	0.847389i
$687$		−	20.1326i		−	0.768107i
$688$	−28.2657	+	32.6441i	−1.07762	+	1.24454i
$689$	25.1860	−	52.2992i	0.959509	−	1.99244i
$690$	20.7755	−	14.4275i	0.790910	−	0.549244i
$691$	−17.9359	−	8.63745i	−0.682312	−	0.328584i	0.0604198	−	0.998173i	$-0.480756\pi$
$691$	−17.9359	−	8.63745i	−0.682312	−	0.328584i	−0.742732	+	0.669589i	$0.766470\pi$
$692$	−9.87092	−	3.67964i	−0.375236	−	0.139879i
$693$	7.25889	−	2.11449i	0.275742	−	0.0803227i
$694$	−37.5997	−	2.49312i	−1.42727	−	0.0946376i
$695$	3.74155	−	2.98378i	0.141925	−	0.113181i
$696$	−24.0402	+	0.619639i	−0.911240	+	0.0234874i
$697$	−30.4174	+	38.1422i	−1.15214	+	1.44474i
$698$	0.307765	+	1.92929i	0.0116491	+	0.0730248i
$699$	−9.66407	+	12.1184i	−0.365529	+	0.458358i
$700$	−1.39910	+	0.551420i	−0.0528809	+	0.0208417i
$701$	−1.46313	−	1.83471i	−0.0552616	−	0.0692959i	0.753433	−	0.657525i	$-0.228397\pi$
$701$	−1.46313	−	1.83471i	−0.0552616	−	0.0692959i	−0.808694	+	0.588229i	$0.799825\pi$
$702$	4.16055	−	4.56198i	0.157030	−	0.172181i
$703$	0.477063	−	2.09015i	0.0179928	−	0.0788315i
$704$	−17.1155	+	15.1555i	−0.645064	+	0.571194i
$705$		−	11.5599i		−	0.435372i
$706$	−0.00560320	−	0.0351248i	−0.000210879	−	0.00132194i
$707$	−4.74463	−	0.791737i	−0.178440	−	0.0297763i
$708$	−12.7704	−	8.38903i	−0.479941	−	0.315279i
$709$	−4.51388	−	19.7766i	−0.169523	−	0.742727i	−0.986190	−	0.165618i	$-0.947038\pi$
$709$	−4.51388	−	19.7766i	−0.169523	−	0.742727i	0.816667	−	0.577109i	$-0.195819\pi$
$710$	−13.4330	+	23.7352i	−0.504132	+	0.890766i
$711$	−3.60536	+	2.87518i	−0.135212	+	0.107828i
$712$	−0.800499	−	0.161128i	−0.0300000	−	0.00603852i
$713$	50.4902	−	11.5241i	1.89087	−	0.431579i
$714$	12.2341	−	15.1179i	0.457850	−	0.565772i
$715$	27.9602	+	6.38174i	1.04565	+	0.238663i
$716$	−9.03968	−	9.41285i	−0.337829	−	0.351775i
$717$		−	1.77019i		−	0.0661091i
$718$	0.775539	+	4.86163i	0.0289429	+	0.181435i
$719$	−12.8284	+	6.17783i	−0.478418	+	0.230394i	−0.657521	−	0.753436i	$-0.728395\pi$
$719$	−12.8284	+	6.17783i	−0.478418	+	0.230394i	0.179103	+	0.983830i	$0.442681\pi$
$720$	−5.43763	−	7.41481i	−0.202648	−	0.276334i
$721$	−1.46869	+	8.80141i	−0.0546969	+	0.327782i
$722$	16.2732	+	4.86694i	0.605626	+	0.181129i
$723$	25.8899	+	5.90920i	0.962856	+	0.219766i
$724$	26.7028	−	2.46306i	0.992401	−	0.0915388i
$725$	2.17705	−	1.04841i	0.0808538	−	0.0389371i
$726$	1.97400	−	3.48792i	0.0732620	−	0.129449i
$727$	−13.4280	−	6.46657i	−0.498016	−	0.239832i	0.167976	−	0.985791i	$-0.446277\pi$
$727$	−13.4280	−	6.46657i	−0.498016	−	0.239832i	−0.665991	+	0.745959i	$0.731991\pi$
$728$	31.1217	−	9.94244i	1.15345	−	0.368491i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	0.506973	−	7.64585i	0.0187639	−	0.282986i
$731$	12.4857	+	54.7034i	0.461800	+	2.02328i
$732$	−4.87309	−	14.8853i	−0.180115	−	0.550178i
$733$	38.3883	+	30.6137i	1.41791	+	1.13074i	0.971812	+	0.235756i	$0.0757566\pi$
$733$	38.3883	+	30.6137i	1.41791	+	1.13074i	0.446094	+	0.894986i	$0.352815\pi$
$734$	3.92393	+	9.75090i	0.144835	+	0.359912i
$735$	−5.22478	+	15.2193i	−0.192719	+	0.561373i
$736$	14.7670	+	41.4621i	0.544318	+	1.52831i
$737$	−10.1625	+	12.7434i	−0.374342	+	0.469410i
$738$	13.2448	+	0.878221i	0.487547	+	0.0323278i
$739$	38.4693	−	8.78037i	1.41512	−	0.322991i	0.554474	−	0.832201i	$-0.312919\pi$
$739$	38.4693	−	8.78037i	1.41512	−	0.322991i	0.860643	+	0.509210i	$0.170062\pi$
$740$	1.15995	+	3.54318i	0.0426407	+	0.130250i
$741$	5.00804	+	10.3993i	0.183975	+	0.382028i
$742$	−48.5789	+	10.7226i	−1.78339	+	0.393640i
$743$	9.80751	−	20.3655i	0.359803	−	0.747138i	−0.639971	−	0.768399i	$-0.721054\pi$
$743$	9.80751	−	20.3655i	0.359803	−	0.747138i	0.999774	+	0.0212608i	$0.00676802\pi$
$744$	−4.66085	−	18.2405i	−0.170875	−	0.668729i
$745$	18.1867	+	37.7650i	0.666308	+	1.38360i
$746$	−40.6374	−	12.1537i	−1.48784	−	0.444978i
$747$	1.85706	−	8.13631i	0.0679463	−	0.297692i
$748$	2.72851	+	29.5806i	0.0997641	+	1.08157i
$749$	43.5339	+	30.6960i	1.59069	+	1.12161i
$750$	−13.3421	−	7.55099i	−0.487183	−	0.275723i
$751$	4.34576	+	9.02406i	0.158579	+	0.329293i	0.965087	−	0.261931i	$-0.0843593\pi$
$751$	4.34576	+	9.02406i	0.158579	+	0.329293i	−0.806508	+	0.591224i	$0.798645\pi$
$752$	19.4139	+	5.26527i	0.707953	+	0.192005i
$753$	−16.4152			−0.598202
$754$	−48.7003	+	19.5979i	−1.77356	+	0.713712i
$755$	−3.93556	+	17.2428i	−0.143230	+	0.627530i
$756$	−5.27727	−	0.387873i	−0.191932	−	0.0141068i
$757$	5.56982	+	24.4030i	0.202438	+	0.886940i	0.969446	+	0.245303i	$0.0788875\pi$
$757$	5.56982	+	24.4030i	0.202438	+	0.886940i	−0.767008	+	0.641637i	$0.778255\pi$
$758$	16.7991	+	24.1907i	0.610172	+	0.878646i
$759$	13.8626	+	17.3832i	0.503181	+	0.630968i
$760$	16.6542	−	4.25551i	0.604110	−	0.154363i
$761$	26.8653	−	6.13184i	0.973868	−	0.222279i	0.294155	−	0.955758i	$-0.404962\pi$
$761$	26.8653	−	6.13184i	0.973868	−	0.222279i	0.679713	+	0.733479i	$0.262105\pi$
$762$	0.630730	+	0.908250i	0.0228489	+	0.0329024i
$763$	−32.2778	−	13.2584i	−1.16854	−	0.479985i
$764$	25.6643	−	15.4111i	0.928501	−	0.557554i
$765$	−11.9481			−0.431985
$766$	−1.14382	−	2.84237i	−0.0413279	−	0.102699i
$767$	−32.5177	−	7.42195i	−1.17415	−	0.267991i
$768$	14.9293	−	5.75477i	0.538713	−	0.207658i
$769$	5.26541	−	4.19902i	0.189875	−	0.151421i	−0.523938	−	0.851756i	$-0.675538\pi$
$769$	5.26541	−	4.19902i	0.189875	−	0.151421i	0.713814	+	0.700336i	$0.246966\pi$
$770$	−10.5056	−	22.2205i	−0.378595	−	0.800770i
$771$	21.2754	+	16.9666i	0.766216	+	0.611037i
$772$	8.97055	+	14.9388i	0.322857	+	0.537658i
$773$	−30.0205	−	23.9405i	−1.07976	−	0.861080i	−0.0889096	−	0.996040i	$-0.528338\pi$
$773$	−30.0205	−	23.9405i	−1.07976	−	0.861080i	−0.990851	+	0.134959i	$0.956910\pi$
$774$	10.2875	−	11.2801i	0.369777	−	0.405455i
$775$	1.17945	+	1.47898i	0.0423670	+	0.0531265i
$776$	18.6355	−	15.6636i	0.668974	−	0.562290i
$777$	1.98461	+	0.815195i	0.0711976	+	0.0292450i
$778$	2.03978	+	1.86029i	0.0731298	+	0.0666948i
$779$	−10.7666	+	22.3571i	−0.385754	+	0.801025i
$780$	−16.7761	−	11.0204i	−0.600680	−	0.394594i
$781$	−21.5994	−	10.4017i	−0.772887	−	0.372203i
$782$	54.7937	+	16.3875i	1.95942	+	0.586017i
$783$	8.50231			0.303848
$784$	−23.1798	−	15.7066i	−0.827850	−	0.560950i
$785$	2.54077			0.0906840
$786$	−7.36305	−	2.20212i	−0.262631	−	0.0785469i
$787$	15.7186	+	7.56968i	0.560308	+	0.269830i	0.692529	−	0.721390i	$-0.256497\pi$
$787$	15.7186	+	7.56968i	0.560308	+	0.269830i	−0.132221	+	0.991220i	$0.542211\pi$
$788$	10.4665	+	6.87556i	0.372853	+	0.244932i
$789$	5.58599	−	11.5994i	0.198866	−	0.412950i
$790$	11.0766	+	10.1019i	0.394088	+	0.359410i
$791$	−15.3261	+	21.7358i	−0.544933	+	0.772837i
$792$	6.18729	−	5.20058i	0.219856	−	0.184794i
$793$	−21.3176	−	26.7314i	−0.757010	−	0.949260i
$794$	−6.90667	+	7.57306i	−0.245108	+	0.268758i
$795$	23.8955	+	19.0560i	0.847486	+	0.675848i
$796$	2.52414	+	4.20348i	0.0894658	+	0.148989i
$797$	−22.7279	−	18.1249i	−0.805063	−	0.642016i	0.131971	−	0.991254i	$-0.457869\pi$
$797$	−22.7279	−	18.1249i	−0.805063	−	0.642016i	−0.937034	+	0.349237i	$0.886441\pi$
$798$	4.35568	−	8.88149i	0.154189	−	0.314401i
$799$	20.4357	−	16.2969i	0.722962	−	0.576543i
$800$	−1.13047	+	1.14309i	−0.0399682	+	0.0404142i
$801$	0.281457	+	0.0642408i	0.00994481	+	0.00226984i
$802$	−7.12853	−	17.7143i	−0.251717	−	0.625512i
$803$	6.73566			0.237696
$804$	9.77988	−	5.87270i	0.344910	−	0.207114i
$805$	−47.2378	+	2.79279i	−1.66491	+	0.0984327i
$806$	−23.4417	−	33.7560i	−0.825700	−	1.18901i
$807$	−16.3472	+	3.73115i	−0.575449	+	0.131343i
$808$	−4.98228	+	1.27308i	−0.175276	+	0.0447869i
$809$	3.82021	+	4.79039i	0.134311	+	0.168421i	0.844439	−	0.535652i	$-0.179934\pi$
$809$	3.82021	+	4.79039i	0.134311	+	0.168421i	−0.710127	+	0.704073i	$0.751363\pi$
$810$	1.85431	+	2.67020i	0.0651537	+	0.0938211i
$811$	6.40665	+	28.0693i	0.224968	+	0.985648i	0.953679	+	0.300827i	$0.0972626\pi$
$811$	6.40665	+	28.0693i	0.224968	+	0.985648i	−0.728711	+	0.684821i	$0.759880\pi$
$812$	38.9947	+	22.4391i	1.36844	+	0.787459i
$813$	6.52779	−	28.6001i	0.228940	−	1.00305i
$814$	−3.04027	+	1.22346i	−0.106561	+	0.0428822i
$815$	−42.0112			−1.47159
$816$	5.44208	−	20.0659i	0.190511	−	0.702446i
$817$	12.3831	+	25.7137i	0.433228	+	0.899608i
$818$	−22.1485	−	12.5350i	−0.774403	−	0.438276i
$819$	−11.0901	+	3.23050i	−0.387519	+	0.112883i
$820$	−3.96351	−	42.9697i	−0.138412	−	1.50057i
$821$	−3.78730	+	16.5933i	−0.132178	+	0.579109i	0.864848	+	0.502035i	$0.167415\pi$
$821$	−3.78730	+	16.5933i	−0.132178	+	0.579109i	−0.997025	+	0.0770742i	$0.975442\pi$
$822$	8.87564	+	2.65450i	0.309574	+	0.0925862i
$823$	−8.75203	−	18.1738i	−0.305076	−	0.633498i	0.690916	−	0.722935i	$-0.257207\pi$
$823$	−8.75203	−	18.1738i	−0.305076	−	0.633498i	−0.995992	+	0.0894372i	$0.971493\pi$
$824$	2.36160	+	9.24225i	0.0822701	+	0.321969i
$825$	−0.352373	+	0.731710i	−0.0122681	+	0.0254749i
$826$	12.2180	+	25.8424i	0.425117	+	0.899171i
$827$	−5.80219	−	12.0484i	−0.201762	−	0.418963i	0.775397	−	0.631474i	$-0.217550\pi$
$827$	−5.80219	−	12.0484i	−0.201762	−	0.418963i	−0.977159	+	0.212512i	$0.931836\pi$
$828$	−4.84146	−	14.7887i	−0.168253	−	0.513944i
$829$	54.4462	−	12.4270i	1.89099	−	0.431607i	0.891235	−	0.453542i	$-0.149840\pi$
$829$	54.4462	−	12.4270i	1.89099	−	0.431607i	0.999759	+	0.0219350i	$0.00698268\pi$
$830$	−27.0712	−	1.79501i	−0.939654	−	0.0623056i
$831$	9.66116	−	12.1147i	0.335142	−	0.420255i
$832$	26.1490	−	23.1545i	0.906552	−	0.802737i
$833$	−34.2705	+	12.2194i	−1.18740	+	0.423379i
$834$	−1.09913	−	2.73131i	−0.0380597	−	0.0945777i
$835$	−19.6021	−	15.6321i	−0.678357	−	0.540972i
$836$	4.70108	+	14.3599i	0.162590	+	0.496648i
$837$	1.48114	+	6.48931i	0.0511958	+	0.224303i
$838$	−2.34342	+	35.3421i	−0.0809523	+	1.22087i
$839$	25.2305	−	12.1504i	0.871053	−	0.419477i	0.0557042	−	0.998447i	$-0.482260\pi$
$839$	25.2305	−	12.1504i	0.871053	−	0.419477i	0.815349	+	0.578970i	$0.196545\pi$
$840$	1.45738	+	17.1403i	0.0502845	+	0.591398i
$841$	−39.0023	−	18.7825i	−1.34491	−	0.647672i
$842$	10.2770	−	18.1587i	0.354169	−	0.625792i
$843$	−11.2393	+	5.41254i	−0.387101	+	0.186418i
$844$	−33.6184	+	3.10095i	−1.15719	+	0.106739i
$845$	−13.5831	−	3.10026i	−0.467274	−	0.106652i
$846$	−6.81362	−	2.03779i	−0.234257	−	0.0700608i
$847$	−6.55156	+	3.64622i	−0.225114	+	0.125286i
$848$	−42.8868	+	31.4509i	−1.47274	+	1.08003i
$849$	−15.4755	+	7.45259i	−0.531117	+	0.255772i
$850$	0.329088	+	2.06296i	0.0112876	+	0.0707590i
$851$			6.30944i			0.216285i
$852$	11.6219	+	12.1017i	0.398161	+	0.414598i
$853$	−48.3203	−	11.0288i	−1.65445	−	0.377619i	−0.709471	−	0.704735i	$-0.751066\pi$
$853$	−48.3203	−	11.0288i	−1.65445	−	0.377619i	−0.944984	+	0.327116i	$0.893923\pi$
$854$	−6.72465	+	28.5202i	−0.230113	+	0.975940i
$855$	−5.92495	+	1.35233i	−0.202629	+	0.0462488i
$856$	55.8259	+	11.2369i	1.90809	+	0.384068i
$857$	−23.7004	+	18.9005i	−0.809591	+	0.645627i	−0.938210	−	0.346067i	$-0.887517\pi$
$857$	−23.7004	+	18.9005i	−0.809591	+	0.645627i	0.128619	+	0.991694i	$0.458946\pi$
$858$	8.69035	−	15.3552i	0.296684	−	0.524219i
$859$	−0.422836	−	1.85256i	−0.0144270	−	0.0632087i	0.967202	−	0.254008i	$-0.0817491\pi$
$859$	−0.422836	−	1.85256i	−0.0144270	−	0.0632087i	−0.981629	+	0.190800i	$0.938892\pi$
$860$	−41.4811	−	27.2494i	−1.41449	−	0.929198i
$861$	−20.2953	−	14.3103i	−0.691661	−	0.487695i
$862$	−0.426161	−	2.67148i	−0.0145151	−	0.0909911i
$863$		−	49.7692i		−	1.69416i	−0.531463	−	0.847082i	$-0.678357\pi$
$863$		−	49.7692i		−	1.69416i	0.531463	−	0.847082i	$-0.321643\pi$
$864$	−5.32896	+	1.89794i	−0.181295	+	0.0645693i
$865$	2.69428	−	11.8044i	0.0916083	−	0.401362i
$866$	−19.2675	+	21.1265i	−0.654735	+	0.717907i
$867$	−6.24484	−	7.83079i	−0.212086	−	0.265947i
$868$	−10.3334	+	33.6713i	−0.350739	+	1.14288i
$869$	−8.21621	+	10.3028i	−0.278716	+	0.349499i
$870$	−4.35418	−	27.2951i	−0.147620	−	0.925391i
$871$	15.5263	−	19.4694i	0.526088	−	0.659694i
$872$	−37.2916	+	0.961197i	−1.26285	+	0.0325503i
$873$	−6.72914	+	5.36631i	−0.227747	+	0.181622i
$874$	29.0264	+	1.92465i	0.981834	+	0.0651024i
$875$	13.9476	+	25.0612i	0.471515	+	0.847223i
$876$	−4.41722	−	1.64663i	−0.149244	−	0.0556346i
$877$	14.6153	+	7.03835i	0.493523	+	0.237668i	0.664055	−	0.747684i	$-0.268834\pi$
$877$	14.6153	+	7.03835i	0.493523	+	0.237668i	−0.170532	+	0.985352i	$0.554548\pi$
$878$	31.0011	−	21.5286i	1.04624	−	0.726554i
$879$	5.06618	−	10.5200i	0.170878	−	0.354832i
$880$	−19.8641	−	17.1999i	−0.669619	−	0.579807i
$881$			25.2049i			0.849176i	0.905387	+	0.424588i	$0.139581\pi$
$881$			25.2049i			0.849176i	−0.905387	+	0.424588i	$0.860419\pi$
$882$	8.04949	+	5.76244i	0.271040	+	0.194032i
$883$			6.76390i			0.227623i	0.993502	+	0.113812i	$0.0363060\pi$
$883$			6.76390i			0.227623i	−0.993502	+	0.113812i	$0.963694\pi$
$884$	−4.16860	−	45.1931i	−0.140205	−	1.52001i
$885$	7.61971	−	15.8225i	0.256134	−	0.531867i
$886$	3.98993	+	5.74549i	0.134044	+	0.193023i
$887$	21.4404	+	10.3252i	0.719899	+	0.346685i	0.757702	−	0.652600i	$-0.226322\pi$
$887$	21.4404	+	10.3252i	0.719899	+	0.346685i	−0.0378036	+	0.999285i	$0.512036\pi$
$888$	2.29289	−	0.0590995i	0.0769443	−	0.00198325i
$889$	−0.122093	−	2.06511i	−0.00409487	−	0.0692616i
$890$	0.0620942	−	0.936466i	0.00208140	−	0.0313904i
$891$	−2.23419	+	1.78171i	−0.0748481	+	0.0596894i
$892$	13.1625	−	35.3094i	0.440714	−	1.18225i
$893$	8.28930	−	10.3945i	0.277391	−	0.347837i
$894$	25.4653	−	4.06228i	0.851686	−	0.135863i
$895$	9.35231	−	11.7274i	0.312613	−	0.392005i
$896$	−29.4496	−	5.35945i	−0.983841	−	0.179047i
$897$	−21.1792	−	26.5579i	−0.707153	−	0.886742i
$898$	−2.94048	−	2.68174i	−0.0981253	−	0.0894908i
$899$	12.5931	−	55.1741i	0.420004	−	1.84016i
$900$	0.409962	−	0.393710i	0.0136654	−	0.0131237i
$901$			69.1073i			2.30230i
$902$	37.4582	−	5.97543i	1.24722	−	0.198960i
$903$	−27.4217	+	7.98785i	−0.912538	+	0.265819i
$904$	−5.61040	+	27.8730i	−0.186599	+	0.927044i
$905$	6.85846	+	30.0489i	0.227983	+	0.998859i
$906$	9.46944	+	5.35926i	0.314601	+	0.178049i
$907$	18.7784	−	14.9753i	0.623527	−	0.497246i	−0.260011	−	0.965606i	$-0.583726\pi$
$907$	18.7784	−	14.9753i	0.623527	−	0.497246i	0.883538	+	0.468359i	$0.155155\pi$
$908$	−12.5032	−	8.21352i	−0.414934	−	0.272575i
$909$	1.77252	−	0.404565i	0.0587906	−	0.0134186i
$910$	16.0504	+	33.9483i	0.532064	+	1.12538i
$911$	40.4170	+	9.22492i	1.33908	+	0.305635i	0.831286	−	0.555845i	$-0.187605\pi$
$911$	40.4170	+	9.22492i	1.33908	+	0.305635i	0.507790	+	0.861481i	$0.330463\pi$
$912$	0.427545	−	10.5664i	0.0141574	−	0.349889i
$913$		−	23.8485i		−	0.789272i
$914$	12.7372	−	2.03186i	0.421308	−	0.0672081i
$915$	16.2195	−	7.81088i	0.536199	−	0.258220i
$916$	−5.31635	+	39.9127i	−0.175657	+	1.31875i
$917$	9.61227	+	10.6924i	0.317425	+	0.353095i
$918$	−2.10622	+	7.04242i	−0.0695158	+	0.232435i
$919$	29.4587	+	6.72375i	0.971752	+	0.221796i	0.678793	−	0.734329i	$-0.262503\pi$
$919$	29.4587	+	6.72375i	0.971752	+	0.221796i	0.292958	+	0.956125i	$0.405360\pi$
$920$	−44.9971	+	23.1162i	−1.48351	+	0.762118i
$921$	−14.7690	+	7.11239i	−0.486656	+	0.234361i
$922$	16.8948	+	9.56166i	0.556400	+	0.314897i
$923$	32.9995	+	15.8917i	1.08619	+	0.523082i
$924$	−14.9490	+	2.27512i	−0.491787	+	0.0748459i
$925$	−0.207642	+	0.0999950i	−0.00682722	+	0.00328782i
$926$	−4.51495	−	0.299373i	−0.148371	−	0.00983799i
$927$	−0.750478	−	3.28806i	−0.0246489	−	0.107994i
$928$	47.8230	+	5.11978i	1.56987	+	0.168065i
$929$	−27.0434	−	21.5664i	−0.887265	−	0.707571i	0.0697633	−	0.997564i	$-0.477776\pi$
$929$	−27.0434	−	21.5664i	−0.887265	−	0.707571i	−0.957029	+	0.289993i	$0.906347\pi$
$930$	20.0742	−	8.07822i	0.658260	−	0.264895i
$931$	−15.6113	+	9.93835i	−0.511641	+	0.325716i
$932$	22.3590	−	21.4726i	0.732392	−	0.703357i
$933$	9.91742	−	12.4361i	0.324682	−	0.407138i
$934$	0.848772	−	12.8006i	0.0277727	−	0.418850i
$935$	−33.2873	+	7.59762i	−1.08861	+	0.248469i
$936$	−9.45292	+	7.94542i	−0.308978	+	0.259704i
$937$	−26.0310	−	54.0540i	−0.850397	−	1.76587i	−0.604565	−	0.796556i	$-0.706653\pi$
$937$	−26.0310	−	54.0540i	−0.850397	−	1.76587i	−0.245832	−	0.969312i	$-0.579061\pi$
$938$	−21.3412	−	0.152740i	−0.696816	−	0.00498713i
$939$	−12.3769	+	25.7009i	−0.403905	+	0.838717i
$940$	−3.05259	+	22.9175i	−0.0995647	+	0.747485i
$941$	−10.3224	−	21.4346i	−0.336500	−	0.698749i	0.662221	−	0.749308i	$-0.269614\pi$
$941$	−10.3224	−	21.4346i	−0.336500	−	0.698749i	−0.998721	+	0.0505593i	$0.983900\pi$
$942$	0.447889	−	1.49757i	0.0145930	−	0.0487935i
$943$	16.2503	−	71.1973i	0.529183	−	2.31850i
$944$	23.1019	+	20.0034i	0.751904	+	0.651056i
$945$	−0.358946	−	6.07129i	−0.0116765	−	0.197499i
$946$	21.4881	−	37.9679i	0.698637	−	1.23444i
$947$	−5.94695	−	12.3490i	−0.193250	−	0.401287i	0.781718	−	0.623632i	$-0.214343\pi$
$947$	−5.94695	−	12.3490i	−0.193250	−	0.401287i	−0.974968	+	0.222344i	$0.928629\pi$
$948$	7.90683	−	4.74796i	0.256802	−	0.154207i
$949$	−10.2907			−0.334051
$950$	0.396685	+	0.985754i	0.0128702	+	0.0319821i
$951$	4.60194	−	20.1624i	0.149228	−	0.653811i
$952$	−28.2461	+	26.7404i	−0.915463	+	0.866661i
$953$	9.28741	+	40.6908i	0.300849	+	1.31810i	0.868849	+	0.495077i	$0.164860\pi$
$953$	9.28741	+	40.6908i	0.300849	+	1.31810i	−0.568001	+	0.823028i	$0.692283\pi$
$954$	15.4443	−	10.7252i	0.500026	−	0.347241i
$955$	21.4526	+	26.9008i	0.694191	+	0.870488i
$956$	−0.467450	+	3.50939i	−0.0151184	+	0.113502i
$957$	23.6873	−	5.40648i	0.765702	−	0.174767i
$958$	−25.5489	+	17.7423i	−0.825448	+	0.573229i
$959$	−11.5869	−	12.8890i	−0.374161	−	0.416206i
$960$	8.82204	+	16.1357i	0.284730	+	0.520777i
$961$	13.3049			0.429191
$962$	4.64491	−	1.86919i	0.149758	−	0.0602652i
$963$	−19.6285	−	4.48008i	−0.632520	−	0.144368i
$964$	−49.7661	−	18.5516i	−1.60286	−	0.597507i
$965$	−15.6585	+	12.4872i	−0.504065	+	0.401979i
$966$	−6.68100	+	28.3351i	−0.214958	+	0.911665i
$967$	12.0553	+	9.61374i	0.387671	+	0.309157i	0.797859	−	0.602844i	$-0.205966\pi$
$967$	12.0553	+	9.61374i	0.387671	+	0.309157i	−0.410189	+	0.912001i	$0.634537\pi$
$968$	−4.83448	+	6.39350i	−0.155386	+	0.205495i
$969$	−10.7435	−	8.56766i	−0.345131	−	0.275233i
$970$	20.6736	+	18.8545i	0.663791	+	0.605381i
$971$	−4.32619	−	5.42487i	−0.138834	−	0.174092i	0.707554	−	0.706660i	$-0.249799\pi$
$971$	−4.32619	−	5.42487i	−0.138834	−	0.174092i	−0.846388	+	0.532567i	$0.821227\pi$
$972$	1.90074	−	0.622255i	0.0609662	−	0.0199588i
$973$	−0.906591	+	5.43292i	−0.0290640	+	0.174172i
$974$	−36.0640	+	39.5436i	−1.15556	+	1.26706i
$975$	0.538354	−	1.11790i	0.0172411	−	0.0358016i
$976$	5.73014	+	30.7969i	0.183417	+	0.985784i
$977$	22.5244	+	10.8472i	0.720620	+	0.347032i	0.757987	−	0.652269i	$-0.226183\pi$
$977$	22.5244	+	10.8472i	0.720620	+	0.347032i	−0.0373675	+	0.999302i	$0.511897\pi$
$978$	−7.40577	+	24.7621i	−0.236810	+	0.791805i
$979$	0.824987			0.0263667
$980$	14.3770	−	28.7925i	0.459256	−	0.919741i
$981$	13.1890			0.421091
$982$	8.48165	−	28.3594i	0.270660	−	0.904986i
$983$	15.3345	+	7.38470i	0.489094	+	0.235535i	0.662142	−	0.749378i	$-0.269647\pi$
$983$	15.3345	+	7.38470i	0.489094	+	0.235535i	−0.173048	+	0.984913i	$0.555362\pi$
$984$	−26.0257	−	5.23857i	−0.829671	−	0.167000i
$985$	−6.24503	+	12.9679i	−0.198983	+	0.413193i
$986$	42.1139	−	46.1773i	1.34118	−	1.47058i
$987$	8.89500	+	9.89454i	0.283131	+	0.314947i
$988$	−7.18228	−	21.9390i	−0.228499	−	0.697972i
$989$	−52.3684	−	65.6679i	−1.66522	−	2.08812i
$990$	6.86401	+	6.26001i	0.218152	+	0.198956i
$991$	−18.7346	−	14.9403i	−0.595123	−	0.474595i	0.279005	−	0.960290i	$-0.409995\pi$
$991$	−18.7346	−	14.9403i	−0.595123	−	0.474595i	−0.874129	+	0.485695i	$0.838567\pi$
$992$	4.42338	+	37.3924i	0.140442	+	1.18721i
$993$	−4.02069	−	3.20639i	−0.127593	−	0.101752i
$994$	−6.76570	−	30.6520i	−0.214595	−	0.972224i
$995$	−4.40601	+	3.51367i	−0.139680	+	0.111391i
$996$	−5.83014	+	15.6398i	−0.184735	+	0.495565i
$997$	24.8013	+	5.66072i	0.785464	+	0.179277i	0.596399	−	0.802688i	$-0.296597\pi$
$997$	24.8013	+	5.66072i	0.785464	+	0.179277i	0.189064	+	0.981965i	$0.439455\pi$
$998$	12.5946	−	5.06830i	0.398676	−	0.160434i
$999$	−0.810928			−0.0256566

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.3	✓	168
4.3	odd	2		588.2.x.b.55.19	yes	168
49.41	odd	14		588.2.x.b.139.19	yes	168
196.139	even	14	inner	588.2.x.a.139.3	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.3	✓	168	1.1	even	1	trivial
588.2.x.a.139.3	yes	168	196.139	even	14	inner
588.2.x.b.55.19	yes	168	4.3	odd	2
588.2.x.b.139.19	yes	168	49.41	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.35491 - 0.405223i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.67159 + 1.09809i) q^{4} +(-0.997385 + 2.07109i) q^{5} +(1.04492 + 0.952969i) q^{6} +(-0.739943 - 2.54017i) q^{7} +(-1.81989 - 2.16518i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.35491 - 0.405223i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.67159 + 1.09809i) q^{4} +(-0.997385 + 2.07109i) q^{5} +(1.04492 + 0.952969i) q^{6} +(-0.739943 - 2.54017i) q^{7} +(-1.81989 - 2.16518i) q^{8} +(0.623490 + 0.781831i) q^{9} +(2.19063 - 2.40199i) q^{10} +(2.23419 + 1.78171i) q^{11} +(-1.02961 - 1.71462i) q^{12} +(-3.41338 - 2.72208i) q^{13} +(-0.0267785 + 3.74156i) q^{14} +(1.79723 - 1.43324i) q^{15} +(1.58841 + 3.67110i) q^{16} +(5.06737 + 1.15659i) q^{17} +(-0.527959 - 1.31197i) q^{18} +2.64376 q^{19} +(-3.94145 + 2.36680i) q^{20} +(-0.435475 + 2.60967i) q^{21} +(-2.30515 - 3.31941i) q^{22} +(-7.58545 + 1.73133i) q^{23} +(0.700227 + 2.74038i) q^{24} +(-0.177195 - 0.222196i) q^{25} +(3.52179 + 5.07137i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(1.55245 - 5.05865i) q^{28} +(-1.89194 + 8.28914i) q^{29} +(-3.01587 + 1.21364i) q^{30} -6.65619 q^{31} +(-0.664550 - 5.61768i) q^{32} +(-1.23988 - 2.57464i) q^{33} +(-6.39718 - 3.62050i) q^{34} +(5.99894 + 1.00104i) q^{35} +(0.183700 + 1.99155i) q^{36} +(0.180448 - 0.790596i) q^{37} +(-3.58208 - 1.07132i) q^{38} +(1.89428 + 3.93352i) q^{39} +(6.29942 - 1.60964i) q^{40} +(-4.07245 + 8.45653i) q^{41} +(1.64753 - 3.35941i) q^{42} +(4.68387 + 9.72616i) q^{43} +(1.77818 + 5.43161i) q^{44} +(-2.24110 + 0.511517i) q^{45} +(10.9792 + 0.727998i) q^{46} +(3.13542 - 3.93169i) q^{47} +(0.161718 - 3.99673i) q^{48} +(-5.90497 + 3.75917i) q^{49} +(0.150046 + 0.372860i) q^{50} +(-4.06372 - 3.24070i) q^{51} +(-2.71669 - 8.29839i) q^{52} +(2.95859 + 12.9624i) q^{53} +(-0.0935667 + 1.41111i) q^{54} +(-5.91842 + 2.85016i) q^{55} +(-4.15332 + 6.22494i) q^{56} +(-2.38195 - 1.14709i) q^{57} +(5.92237 - 10.4644i) q^{58} +(6.88312 - 3.31473i) q^{59} +(4.57804 - 0.422277i) q^{60} +(7.63500 + 1.74264i) q^{61} +(9.01858 + 2.69725i) q^{62} +(1.52464 - 2.16228i) q^{63} +(-1.37601 + 7.88077i) q^{64} +(9.04214 - 4.35446i) q^{65} +(0.636629 + 3.99085i) q^{66} +5.70383i q^{67} +(7.20052 + 7.49776i) q^{68} +(7.58545 + 1.73133i) q^{69} +(-7.72241 - 3.78724i) q^{70} +(-8.17895 + 1.86679i) q^{71} +(0.558124 - 2.77281i) q^{72} +(1.84284 - 1.46961i) q^{73} +(-0.564860 + 0.998069i) q^{74} +(0.0632403 + 0.277074i) q^{75} +(4.41929 + 2.90308i) q^{76} +(2.87267 - 6.99359i) q^{77} +(-0.972639 - 6.09720i) q^{78} +4.61143i q^{79} +(-9.18744 - 0.371748i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(8.94461 - 9.80763i) q^{82} +(-5.20337 - 6.52482i) q^{83} +(-3.59357 + 3.88410i) q^{84} +(-7.44953 + 9.34142i) q^{85} +(-2.40498 - 15.0761i) q^{86} +(5.30110 - 6.64737i) q^{87} +(-0.208261 - 8.07993i) q^{88} +(0.225711 - 0.179999i) q^{89} +(3.24378 + 0.215085i) q^{90} +(-4.38885 + 10.6848i) q^{91} +(-14.5809 - 5.43541i) q^{92} +(5.99702 + 2.88801i) q^{93} +(-5.84143 + 4.05656i) q^{94} +(-2.63685 + 5.47548i) q^{95} +(-1.83868 + 5.34970i) q^{96} +8.60689i q^{97} +(9.52403 - 2.70052i) q^{98} +2.85763i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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