LMFDB - Embedded newform 280.2.br.a.107.40

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			107.40
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.40

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.34618 + 0.433373i) q^{2} +(0.357022 + 0.0956638i) q^{3} +(1.62438 + 1.16679i) q^{4} +(2.11588 + 0.723237i) q^{5} +(0.439157 + 0.283504i) q^{6} +(-1.60674 + 2.10200i) q^{7} +(1.68104 + 2.27467i) q^{8} +(-2.47976 - 1.43169i) q^{9} +O(q^{10})$	\(q+(1.34618 + 0.433373i) q^{2} +(0.357022 + 0.0956638i) q^{3} +(1.62438 + 1.16679i) q^{4} +(2.11588 + 0.723237i) q^{5} +(0.439157 + 0.283504i) q^{6} +(-1.60674 + 2.10200i) q^{7} +(1.68104 + 2.27467i) q^{8} +(-2.47976 - 1.43169i) q^{9} +(2.53491 + 1.89057i) q^{10} +(-0.466681 - 0.808315i) q^{11} +(0.468319 + 0.571965i) q^{12} +(-4.27704 - 4.27704i) q^{13} +(-3.07390 + 2.13334i) q^{14} +(0.686227 + 0.460624i) q^{15} +(1.27720 + 3.79062i) q^{16} +(1.52523 - 5.69224i) q^{17} +(-2.71774 - 3.00197i) q^{18} +(4.55363 + 2.62904i) q^{19} +(2.59311 + 3.64359i) q^{20} +(-0.774726 + 0.596754i) q^{21} +(-0.277933 - 1.29038i) q^{22} +(2.48608 - 0.666144i) q^{23} +(0.382565 + 0.972921i) q^{24} +(3.95386 + 3.06056i) q^{25} +(-3.90410 - 7.61121i) q^{26} +(-1.53244 - 1.53244i) q^{27} +(-5.06254 + 1.53971i) q^{28} -5.15709 q^{29} +(0.724160 + 0.917473i) q^{30} +(1.23225 - 0.711441i) q^{31} +(0.0765810 + 5.65634i) q^{32} +(-0.0892890 - 0.333231i) q^{33} +(4.52009 - 7.00176i) q^{34} +(-4.91990 + 3.28552i) q^{35} +(-2.35758 - 5.21897i) q^{36} +(-0.432338 - 1.61351i) q^{37} +(4.99063 + 5.51257i) q^{38} +(-1.11784 - 1.93616i) q^{39} +(1.91175 + 6.02870i) q^{40} +6.12368 q^{41} +(-1.30153 + 0.467590i) q^{42} +(-7.08536 + 7.08536i) q^{43} +(0.185070 - 1.85753i) q^{44} +(-4.21142 - 4.82274i) q^{45} +(3.63539 + 0.180654i) q^{46} +(-2.45559 - 9.16440i) q^{47} +(0.0933627 + 1.47552i) q^{48} +(-1.83680 - 6.75472i) q^{49} +(3.99622 + 5.83354i) q^{50} +(1.08908 - 1.88635i) q^{51} +(-1.95711 - 11.9379i) q^{52} +(-2.06081 + 7.69103i) q^{53} +(-1.39882 - 2.72706i) q^{54} +(-0.402835 - 2.04782i) q^{55} +(-7.48233 - 0.121246i) q^{56} +(1.37424 + 1.37424i) q^{57} +(-6.94235 - 2.23494i) q^{58} +(0.873827 - 0.504505i) q^{59} +(0.577238 + 1.54891i) q^{60} +(-2.84724 - 1.64386i) q^{61} +(1.96715 - 0.423700i) q^{62} +(6.99374 - 2.91211i) q^{63} +(-2.34821 + 7.64761i) q^{64} +(-5.95638 - 12.1430i) q^{65} +(0.0242146 - 0.487283i) q^{66} +(0.526202 - 1.96381i) q^{67} +(9.11920 - 7.46671i) q^{68} +0.951312 q^{69} +(-8.04690 + 2.29073i) q^{70} +12.5416i q^{71} +(-0.911960 - 8.04736i) q^{72} +(-3.20705 - 0.859326i) q^{73} +(0.117247 - 2.35943i) q^{74} +(1.11883 + 1.47093i) q^{75} +(4.32927 + 9.58369i) q^{76} +(2.44891 + 0.317787i) q^{77} +(-0.665733 - 3.09085i) q^{78} +(-2.02447 + 3.50648i) q^{79} +(-0.0391258 + 8.94419i) q^{80} +(3.89456 + 6.74557i) q^{81} +(8.24355 + 2.65384i) q^{82} +(-9.21676 + 9.21676i) q^{83} +(-1.95473 + 0.0654091i) q^{84} +(7.34403 - 10.9410i) q^{85} +(-12.6087 + 6.46753i) q^{86} +(-1.84120 - 0.493347i) q^{87} +(1.05414 - 2.42035i) q^{88} +(10.3405 + 5.97011i) q^{89} +(-3.57926 - 8.31736i) q^{90} +(15.8624 - 2.11826i) q^{91} +(4.81558 + 1.81867i) q^{92} +(0.508001 - 0.136118i) q^{93} +(0.665941 - 13.4011i) q^{94} +(7.73350 + 8.85608i) q^{95} +(-0.513766 + 2.02676i) q^{96} +(-4.41264 - 4.41264i) q^{97} +(0.454660 - 9.88905i) q^{98} +2.67257i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	1.34618	+	0.433373i	0.951890	+	0.306441i
$2$	1.34618	+	0.433373i	0.951890	+	0.306441i
$3$	0.357022	+	0.0956638i	0.206127	+	0.0552315i	0.360405	−	0.932796i	$-0.382638\pi$
$3$	0.357022	+	0.0956638i	0.206127	+	0.0552315i	−0.154278	+	0.988027i	$0.549305\pi$
$4$	1.62438	+	1.16679i	0.812188	+	0.583396i
$5$	2.11588	+	0.723237i	0.946248	+	0.323441i
$5$	2.11588	+	0.723237i	0.946248	+	0.323441i
$6$	0.439157	+	0.283504i	0.179285	+	0.115740i
$7$	−1.60674	+	2.10200i	−0.607289	+	0.794481i
$7$	−1.60674	+	2.10200i	−0.607289	+	0.794481i
$8$	1.68104	+	2.27467i	0.594337	+	0.804216i
$9$	−2.47976	−	1.43169i	−0.826588	−	0.477231i
$10$	2.53491	+	1.89057i	0.801608	+	0.597850i
$11$	−0.466681	−	0.808315i	−0.140710	−	0.243716i	0.787054	−	0.616884i	$-0.211605\pi$
$11$	−0.466681	−	0.808315i	−0.140710	−	0.243716i	−0.927764	+	0.373167i	$0.878272\pi$
$12$	0.468319	+	0.571965i	0.135192	+	0.165112i
$13$	−4.27704	−	4.27704i	−1.18624	−	1.18624i	−0.978099	−	0.208140i	$-0.933259\pi$
$13$	−4.27704	−	4.27704i	−1.18624	−	1.18624i	−0.208140	−	0.978099i	$-0.566741\pi$
$14$	−3.07390	+	2.13334i	−0.821534	+	0.570160i
$15$	0.686227	+	0.460624i	0.177183	+	0.118933i
$16$	1.27720	+	3.79062i	0.319299	+	0.947654i
$17$	1.52523	−	5.69224i	0.369923	−	1.38057i	−0.490701	−	0.871328i	$-0.663259\pi$
$17$	1.52523	−	5.69224i	0.369923	−	1.38057i	0.860623	−	0.509242i	$-0.170074\pi$
$18$	−2.71774	−	3.00197i	−0.640577	−	0.707571i
$19$	4.55363	+	2.62904i	1.04467	+	0.603143i	0.921154	−	0.389199i	$-0.127248\pi$
$19$	4.55363	+	2.62904i	1.04467	+	0.603143i	0.123521	+	0.992342i	$0.460581\pi$
$20$	2.59311	+	3.64359i	0.579837	+	0.814732i
$21$	−0.774726	+	0.596754i	−0.169059	+	0.130222i
$22$	−0.277933	−	1.29038i	−0.0592555	−	0.275110i
$23$	2.48608	−	0.666144i	0.518384	−	0.138901i	0.00986492	−	0.999951i	$-0.496860\pi$
$23$	2.48608	−	0.666144i	0.518384	−	0.138901i	0.508519	+	0.861051i	$0.330193\pi$
$24$	0.382565	+	0.972921i	0.0780908	+	0.198597i
$25$	3.95386	+	3.06056i	0.790771	+	0.612112i
$26$	−3.90410	−	7.61121i	−0.765657	−	1.49268i
$27$	−1.53244	−	1.53244i	−0.294919	−	0.294919i
$28$	−5.06254	+	1.53971i	−0.956730	+	0.290978i
$29$	−5.15709			−0.957648			−0.478824	−	0.877911i	$-0.658937\pi$
$29$	−5.15709			−0.957648			−0.478824	+	0.877911i	$0.658937\pi$
$30$	0.724160	+	0.917473i	0.132213	+	0.167507i
$31$	1.23225	−	0.711441i	0.221319	−	0.127779i	−0.385242	−	0.922816i	$-0.625882\pi$
$31$	1.23225	−	0.711441i	0.221319	−	0.127779i	0.606561	+	0.795037i	$0.292549\pi$
$32$	0.0765810	+	5.65634i	0.0135377	+	0.999908i
$33$	−0.0892890	−	0.333231i	−0.0155432	−	0.0580081i
$34$	4.52009	−	7.00176i	0.775189	−	1.20079i
$35$	−4.91990	+	3.28552i	−0.831614	+	0.555353i
$36$	−2.35758	−	5.21897i	−0.392930	−	0.869829i
$37$	−0.432338	−	1.61351i	−0.0710760	−	0.265259i	0.921239	−	0.388997i	$-0.127178\pi$
$37$	−0.432338	−	1.61351i	−0.0710760	−	0.265259i	−0.992315	+	0.123738i	$0.960512\pi$
$38$	4.99063	+	5.51257i	0.809587	+	0.894257i
$39$	−1.11784	−	1.93616i	−0.178998	−	0.310033i
$40$	1.91175	+	6.02870i	0.302274	+	0.953221i
$41$	6.12368			0.956358			0.478179	−	0.878262i	$-0.341297\pi$
$41$	6.12368			0.956358			0.478179	+	0.878262i	$0.341297\pi$
$42$	−1.30153	+	0.467590i	−0.200831	+	0.0721507i
$43$	−7.08536	+	7.08536i	−1.08051	+	1.08051i	−0.0840448	+	0.996462i	$0.526784\pi$
$43$	−7.08536	+	7.08536i	−1.08051	+	1.08051i	−0.996462	+	0.0840448i	$0.973216\pi$
$44$	0.185070	−	1.85753i	0.0279003	−	0.280033i
$45$	−4.21142	−	4.82274i	−0.627801	−	0.718931i
$46$	3.63539	+	0.180654i	0.536009	+	0.0266359i
$47$	−2.45559	−	9.16440i	−0.358185	−	1.33677i	−0.876429	−	0.481532i	$-0.840081\pi$
$47$	−2.45559	−	9.16440i	−0.358185	−	1.33677i	0.518243	−	0.855233i	$-0.326586\pi$
$48$	0.0933627	+	1.47552i	0.0134758	+	0.212972i
$49$	−1.83680	−	6.75472i	−0.262399	−	0.964959i
$50$	3.99622	+	5.83354i	0.565151	+	0.824987i
$51$	1.08908	−	1.88635i	0.152502	−	0.264141i
$52$	−1.95711	−	11.9379i	−0.271403	−	1.65550i
$53$	−2.06081	+	7.69103i	−0.283073	+	1.05644i	0.667162	+	0.744912i	$0.267509\pi$
$53$	−2.06081	+	7.69103i	−0.283073	+	1.05644i	−0.950236	+	0.311532i	$0.899158\pi$
$54$	−1.39882	−	2.72706i	−0.190355	−	0.371106i
$55$	−0.402835	−	2.04782i	−0.0543183	−	0.276127i
$56$	−7.48233	−	0.121246i	−0.999869	−	0.0162021i
$57$	1.37424	+	1.37424i	0.182023	+	0.182023i
$58$	−6.94235	−	2.23494i	−0.911575	−	0.293462i
$59$	0.873827	−	0.504505i	0.113763	−	0.0656809i	−0.442039	−	0.896996i	$-0.645745\pi$
$59$	0.873827	−	0.504505i	0.113763	−	0.0656809i	0.555802	+	0.831315i	$0.312411\pi$
$60$	0.577238	+	1.54891i	0.0745211	+	0.199964i
$61$	−2.84724	−	1.64386i	−0.364552	−	0.210474i	0.306524	−	0.951863i	$-0.400834\pi$
$61$	−2.84724	−	1.64386i	−0.364552	−	0.210474i	−0.671076	+	0.741389i	$0.734168\pi$
$62$	1.96715	−	0.423700i	0.249828	−	0.0538100i
$63$	6.99374	−	2.91211i	0.881128	−	0.366891i
$64$	−2.34821	+	7.64761i	−0.293526	+	0.955951i
$65$	−5.95638	−	12.1430i	−0.738797	−	1.50615i
$66$	0.0242146	−	0.487283i	0.00298061	−	0.0599804i
$67$	0.526202	−	1.96381i	0.0642859	−	0.239918i	−0.926305	−	0.376774i	$-0.877033\pi$
$67$	0.526202	−	1.96381i	0.0642859	−	0.239918i	0.990591	+	0.136856i	$0.0436999\pi$
$68$	9.11920	−	7.46671i	1.10587	−	0.905472i
$69$	0.951312			0.114525
$70$	−8.04690	+	2.29073i	−0.961788	+	0.273795i
$71$			12.5416i			1.48841i	0.667950	+	0.744206i	$0.267172\pi$
$71$			12.5416i			1.48841i	−0.667950	+	0.744206i	$0.732828\pi$
$72$	−0.911960	−	8.04736i	−0.107475	−	0.948391i
$73$	−3.20705	−	0.859326i	−0.375356	−	0.100576i	0.0662084	−	0.997806i	$-0.478910\pi$
$73$	−3.20705	−	0.859326i	−0.375356	−	0.100576i	−0.441565	+	0.897229i	$0.645576\pi$
$74$	0.117247	−	2.35943i	0.0136297	−	0.274278i
$75$	1.11883	+	1.47093i	0.129191	+	0.169848i
$76$	4.32927	+	9.58369i	0.496601	+	1.09932i
$77$	2.44891	+	0.317787i	0.279079	+	0.0362152i
$78$	−0.665733	−	3.09085i	−0.0753794	−	0.349970i
$79$	−2.02447	+	3.50648i	−0.227770	+	0.394510i	−0.957147	−	0.289603i	$-0.906477\pi$
$79$	−2.02447	+	3.50648i	−0.227770	+	0.394510i	0.729377	+	0.684112i	$0.239810\pi$
$80$	−0.0391258	+	8.94419i	−0.00437440	+	0.999990i
$81$	3.89456	+	6.74557i	0.432729	+	0.749508i
$82$	8.24355	+	2.65384i	0.910348	+	0.293067i
$83$	−9.21676	+	9.21676i	−1.01167	+	1.01167i	−0.0117394	+	0.999931i	$0.503737\pi$
$83$	−9.21676	+	9.21676i	−1.01167	+	1.01167i	−0.999931	+	0.0117394i	$0.996263\pi$
$84$	−1.95473	+	0.0654091i	−0.213279	+	0.00713672i
$85$	7.34403	−	10.9410i	0.796572	−	1.18671i
$86$	−12.6087	+	6.46753i	−1.35963	+	0.697412i
$87$	−1.84120	−	0.493347i	−0.197397	−	0.0528924i
$88$	1.05414	−	2.42035i	0.112371	−	0.258011i
$89$	10.3405	+	5.97011i	1.09609	+	0.632831i	0.935192	−	0.354140i	$-0.115226\pi$
$89$	10.3405	+	5.97011i	1.09609	+	0.632831i	0.160902	+	0.986970i	$0.448560\pi$
$90$	−3.57926	−	8.31736i	−0.377287	−	0.876727i
$91$	15.8624	−	2.11826i	1.66283	−	0.222054i
$92$	4.81558	+	1.81867i	0.502059	+	0.189610i
$93$	0.508001	−	0.136118i	0.0526772	−	0.0141148i
$94$	0.665941	−	13.4011i	0.0686866	−	1.38222i
$95$	7.73350	+	8.85608i	0.793440	+	0.908614i
$96$	−0.513766	+	2.02676i	−0.0524360	+	0.206856i
$97$	−4.41264	−	4.41264i	−0.448035	−	0.448035i	0.446666	−	0.894701i	$-0.352611\pi$
$97$	−4.41264	−	4.41264i	−0.448035	−	0.448035i	−0.894701	+	0.446666i	$0.852611\pi$
$98$	0.454660	−	9.88905i	0.0459276	−	0.998945i
$99$			2.67257i			0.268604i
$100$	2.85152	+	9.58482i	0.285152	+	0.958482i
$101$	1.30911	−	0.755818i	0.130262	−	0.0752067i	−0.433453	−	0.901176i	$-0.642705\pi$
$101$	1.30911	−	0.755818i	0.130262	−	0.0752067i	0.563715	+	0.825969i	$0.309372\pi$
$102$	2.28359	−	2.06737i	0.226109	−	0.204701i
$103$	−4.45140	+	1.19275i	−0.438609	+	0.117525i	−0.471365	−	0.881938i	$-0.656238\pi$
$103$	−4.45140	+	1.19275i	−0.438609	+	0.117525i	0.0327554	+	0.999463i	$0.489572\pi$
$104$	2.53896	−	16.9187i	0.248966	−	1.65902i
$105$	−2.07082	+	0.702346i	−0.202091	+	0.0685419i
$106$	−6.10729	+	9.46038i	−0.593192	+	0.918873i
$107$	−12.1549	+	3.25690i	−1.17506	+	0.314856i	−0.792965	−	0.609267i	$-0.791464\pi$
$107$	−12.1549	+	3.25690i	−1.17506	+	0.314856i	−0.382095	+	0.924123i	$0.624797\pi$
$108$	−0.701224	−	4.27731i	−0.0674753	−	0.411584i
$109$	−2.15167	−	3.72680i	−0.206092	−	0.356962i	0.744388	−	0.667747i	$-0.232741\pi$
$109$	−2.15167	−	3.72680i	−0.206092	−	0.356962i	−0.950480	+	0.310785i	$0.899408\pi$
$110$	0.345180	−	2.93130i	0.0329117	−	0.279488i
$111$		−	0.617418i		−	0.0586027i
$112$	−10.0200	−	3.40586i	−0.946800	−	0.321823i
$113$	−3.26855	+	3.26855i	−0.307479	+	0.307479i	−0.843931	−	0.536452i	$-0.819764\pi$
$113$	−3.26855	+	3.26855i	−0.307479	+	0.307479i	0.536452	+	0.843931i	$0.319764\pi$
$114$	1.25441	+	2.44553i	0.117487	+	0.229045i
$115$	5.74202	+	0.388550i	0.535446	+	0.0362325i
$116$	−8.37706	−	6.01725i	−0.777790	−	0.558687i
$117$	4.48265	+	16.7295i	0.414421	+	1.54664i
$118$	1.39496	−	0.300459i	0.128417	−	0.0276595i
$119$	9.51443	+	12.3520i	0.872186	+	1.13230i
$120$	0.105808	+	2.33527i	0.00965891	+	0.213180i
$121$	5.06442	−	8.77183i	0.460402	−	0.797439i
$122$	−3.12049	−	3.44684i	−0.282516	−	0.312062i
$123$	2.18629	+	0.585815i	0.197131	+	0.0528211i
$124$	2.83175	+	0.282133i	0.254298	+	0.0253363i
$125$	6.15236	+	9.33534i	0.550283	+	0.834978i
$126$	10.6768	−	0.889310i	0.951167	−	0.0792261i
$127$	5.01136	−	5.01136i	0.444686	−	0.444686i	−0.448897	−	0.893583i	$-0.648183\pi$
$127$	5.01136	−	5.01136i	0.444686	−	0.444686i	0.893583	+	0.448897i	$0.148183\pi$
$128$	−6.47537	+	9.27737i	−0.572347	+	0.820012i
$129$	−3.20744	+	1.85182i	−0.282400	+	0.163043i
$130$	−2.75588	−	18.9280i	−0.241706	−	1.66009i
$131$	−2.74939	+	4.76208i	−0.240215	+	0.416065i	−0.960775	−	0.277327i	$-0.910551\pi$
$131$	−2.74939	+	4.76208i	−0.240215	+	0.416065i	0.720560	+	0.693392i	$0.243885\pi$
$132$	0.243772	−	0.645474i	0.0212176	−	0.0561813i
$133$	−12.8427	+	5.34755i	−1.11361	+	0.463691i
$134$	1.55942	−	2.41560i	0.134714	−	0.208676i
$135$	−2.13414	−	4.35078i	−0.183678	−	0.374456i
$136$	15.5119	−	6.09949i	1.33014	−	0.523027i
$137$	0.307968	−	1.14935i	0.0263115	−	0.0981959i	−0.951521	−	0.307582i	$-0.900480\pi$
$137$	0.307968	−	1.14935i	0.0263115	−	0.0981959i	0.977833	+	0.209387i	$0.0671467\pi$
$138$	1.28063	+	0.412273i	0.109015	+	0.0350950i
$139$			7.23581i			0.613734i	0.951752	+	0.306867i	$0.0992806\pi$
$139$			7.23581i			0.613734i	−0.951752	+	0.306867i	$0.900719\pi$
$140$	−11.8253	−	0.403580i	−0.999418	−	0.0341088i
$141$		−	3.50681i		−	0.295326i
$142$	−5.43518	+	16.8832i	−0.456110	+	1.41680i
$143$	−1.46119	+	5.45322i	−0.122190	+	0.456021i
$144$	2.25985	−	11.2284i	0.188321	−	0.935698i
$145$	−10.9118	−	3.72980i	−0.906172	−	0.309743i
$146$	−3.94484	−	2.54665i	−0.326477	−	0.210762i
$147$	−0.00959489	−	2.58730i	−0.000791373	−	0.213397i
$148$	1.18035	−	3.12539i	0.0970240	−	0.256906i
$149$	1.62968	−	2.82269i	0.133509	−	0.231244i	−0.791518	−	0.611146i	$-0.790709\pi$
$149$	1.62968	−	2.82269i	0.133509	−	0.231244i	0.925027	+	0.379902i	$0.124042\pi$
$150$	0.868681	+	2.46500i	0.0709275	+	0.201266i
$151$	15.5929	−	9.00258i	1.26893	−	0.732620i	0.294148	−	0.955760i	$-0.404964\pi$
$151$	15.5929	−	9.00258i	1.26893	−	0.732620i	0.974786	+	0.223140i	$0.0716308\pi$
$152$	1.67465	+	14.7775i	0.135832	+	1.19861i
$153$	−11.9317	+	11.9317i	−0.964624	+	0.964624i
$154$	3.15894	+	1.48909i	0.254555	+	0.119994i
$155$	3.12183	−	0.614110i	0.250752	−	0.0493265i
$156$	0.443297	−	4.44934i	0.0354922	−	0.356232i
$157$	16.5963	+	4.44696i	1.32453	+	0.354906i	0.850672	−	0.525696i	$-0.176195\pi$
$157$	16.5963	+	4.44696i	1.32453	+	0.354906i	0.473856	+	0.880603i	$0.342862\pi$
$158$	−4.24490	+	3.84299i	−0.337706	+	0.305732i
$159$	−1.47151	+	2.54872i	−0.116698	+	0.202127i
$160$	−3.92884	+	12.0235i	−0.310602	+	0.950540i
$161$	−2.59425	+	6.29606i	−0.204455	+	0.496199i
$162$	2.31941	+	10.7685i	0.182230	+	0.846055i
$163$	−6.27040	−	23.4014i	−0.491135	−	1.83294i	−0.550680	−	0.834717i	$-0.685631\pi$
$163$	−6.27040	−	23.4014i	−0.491135	−	1.83294i	0.0595442	−	0.998226i	$-0.481035\pi$
$164$	9.94716	+	7.14506i	0.776743	+	0.557935i
$165$	0.0520807	−	0.769653i	0.00405448	−	0.0599174i
$166$	−16.4017	+	8.41308i	−1.27302	+	0.652982i
$167$	−0.324222	+	0.324222i	−0.0250891	+	0.0250891i	−0.719540	−	0.694451i	$-0.755647\pi$
$167$	−0.324222	+	0.324222i	−0.0250891	+	0.0250891i	0.694451	+	0.719540i	$0.255647\pi$
$168$	−2.65976	−	0.759076i	−0.205205	−	0.0585640i
$169$			23.5862i			1.81432i
$170$	14.6279	−	11.5457i	1.12191	−	0.885518i
$171$	−7.52795	−	13.0388i	−0.575677	−	0.997101i
$172$	−19.7764	+	3.24215i	−1.50794	+	0.247212i
$173$	11.2669	−	3.01895i	0.856605	−	0.229526i	0.196318	−	0.980540i	$-0.437102\pi$
$173$	11.2669	−	3.01895i	0.856605	−	0.229526i	0.660287	+	0.751014i	$0.270435\pi$
$174$	−2.26477	−	1.46206i	−0.171692	−	0.110838i
$175$	−12.7861	+	3.39349i	−0.966538	+	0.256524i
$176$	2.46797	−	2.80139i	0.186030	−	0.211162i
$177$	0.360239	−	0.0965257i	0.0270772	−	0.00725531i
$178$	11.3329	+	12.5181i	0.849436	+	0.938273i
$179$	8.91929	−	5.14955i	0.666659	−	0.384896i	−0.128151	−	0.991755i	$-0.540904\pi$
$179$	8.91929	−	5.14955i	0.666659	−	0.384896i	0.794810	+	0.606859i	$0.207571\pi$
$180$	−1.21380	−	12.7478i	−0.0904711	−	0.950164i
$181$			4.32971i			0.321825i	0.986969	+	0.160912i	$0.0514436\pi$
$181$			4.32971i			0.321825i	−0.986969	+	0.160912i	$0.948556\pi$
$182$	22.2716	+	4.02280i	1.65088	+	0.298189i
$183$	−0.859272	−	0.859272i	−0.0635192	−	0.0635192i
$184$	5.69446	+	4.53519i	0.419801	+	0.334339i
$185$	0.252175	−	3.72667i	0.0185403	−	0.273990i
$186$	0.742848	+	0.0369144i	0.0544683	+	0.00270670i
$187$	−5.31292	+	1.42359i	−0.388519	+	0.104103i
$188$	6.70413	−	17.7516i	0.488949	−	1.29467i
$189$	5.68343	−	0.758962i	0.413409	−	0.0552063i
$190$	6.57266	+	15.2733i	0.476831	+	1.10804i
$191$	18.9512	+	10.9415i	1.37126	+	0.791696i	0.991086	−	0.133221i	$-0.0425319\pi$
$191$	18.9512	+	10.9415i	1.37126	+	0.791696i	0.380171	+	0.924916i	$0.375865\pi$
$192$	−1.56996	+	2.50573i	−0.113302	+	0.180835i
$193$	21.2377	+	5.69064i	1.52873	+	0.409621i	0.922603	−	0.385750i	$-0.126057\pi$
$193$	21.2377	+	5.69064i	1.52873	+	0.409621i	0.606123	+	0.795371i	$0.292724\pi$
$194$	−4.02787	−	7.85250i	−0.289184	−	0.563777i
$195$	−0.964912	−	4.90513i	−0.0690988	−	0.351264i
$196$	4.89770	−	13.1154i	0.349835	−	0.936811i
$197$	0.857585	−	0.857585i	0.0611004	−	0.0611004i	−0.675896	−	0.736997i	$-0.736243\pi$
$197$	0.857585	−	0.857585i	0.0611004	−	0.0611004i	0.736997	+	0.675896i	$0.236243\pi$
$198$	−1.15822	+	3.59775i	−0.0823112	+	0.255681i
$199$	−4.95165	−	8.57652i	−0.351013	−	0.607973i	0.635414	−	0.772172i	$-0.280830\pi$
$199$	−4.95165	−	8.57652i	−0.351013	−	0.607973i	−0.986427	+	0.164199i	$0.947496\pi$
$200$	−0.315159	+	14.1386i	−0.0222851	+	0.999752i
$201$	0.375732	−	0.650787i	0.0265021	−	0.0459030i
$202$	2.08985	−	0.450129i	0.147041	−	0.0316709i
$203$	8.28609	−	10.8402i	0.581569	−	0.760833i
$204$	3.97005	−	1.79340i	0.277959	−	0.125563i
$205$	12.9569	+	4.42887i	0.904952	+	0.309326i
$206$	−6.50927	−	0.323466i	−0.453522	−	0.0225369i
$207$	−7.11861	−	1.90742i	−0.494777	−	0.132575i
$208$	10.7500	−	21.6753i	0.745379	−	1.50291i
$209$		−	4.90769i		−	0.339472i
$210$	−3.09206	+	0.0480448i	−0.213373	+	0.00331540i
$211$	18.4290			1.26871			0.634354	−	0.773043i	$-0.281266\pi$
$211$	18.4290			1.26871			0.634354	+	0.773043i	$0.281266\pi$
$212$	−12.3214	+	10.0886i	−0.846234	+	0.692888i
$213$	−1.19978	+	4.47762i	−0.0822073	+	0.306802i
$214$	−17.7741	−	0.883250i	−1.21501	−	0.0603777i
$215$	−20.1161	+	9.86734i	−1.37191	+	0.672947i
$216$	0.909699	−	6.06190i	0.0618972	−	0.412460i
$217$	−0.484457	+	3.73329i	−0.0328871	+	0.253432i
$218$	−1.28143	−	5.94939i	−0.0867893	−	0.402944i
$219$	−1.06278	−	0.613597i	−0.0718161	−	0.0414630i
$220$	1.73502	−	3.79645i	0.116975	−	0.255956i
$221$	−30.8694	+	17.8225i	−2.07650	+	1.19887i
$222$	0.267572	−	0.831153i	0.0179583	−	0.0557833i
$223$	−15.5226	−	15.5226i	−1.03947	−	1.03947i	−0.999188	−	0.0402785i	$-0.987175\pi$
$223$	−15.5226	−	15.5226i	−1.03947	−	1.03947i	−0.0402785	−	0.999188i	$-0.512825\pi$
$224$	−12.0127	−	8.92727i	−0.802629	−	0.596478i
$225$	−5.42285	−	13.2502i	−0.361523	−	0.883344i
$226$	−5.81654	+	2.98354i	−0.386910	+	0.198462i
$227$	−5.45937	+	20.3746i	−0.362351	+	1.35231i	0.508625	+	0.860988i	$0.330154\pi$
$227$	−5.45937	+	20.3746i	−0.362351	+	1.35231i	−0.870977	+	0.491325i	$0.836513\pi$
$228$	0.628833	+	3.83574i	0.0416455	+	0.254028i
$229$	5.62790	−	9.74781i	0.371902	−	0.644153i	−0.617956	−	0.786213i	$-0.712039\pi$
$229$	5.62790	−	9.74781i	0.371902	−	0.644153i	0.989858	+	0.142059i	$0.0453724\pi$
$230$	7.56138	+	3.01149i	0.498582	+	0.198572i
$231$	0.843915	+	0.347729i	0.0555255	+	0.0228789i
$232$	−8.66928	−	11.7307i	−0.569166	−	0.770155i
$233$	4.07176	+	15.1960i	0.266750	+	0.995523i	0.961171	+	0.275954i	$0.0889938\pi$
$233$	4.07176	+	15.1960i	0.266750	+	0.995523i	−0.694421	+	0.719569i	$0.744340\pi$
$234$	−1.21566	+	24.4635i	−0.0794705	+	1.59923i
$235$	1.43230	−	21.1667i	0.0934332	−	1.38076i
$236$	2.00808	+	0.200069i	0.130715	+	0.0130234i
$237$	−1.05822	+	1.05822i	−0.0687390	+	0.0687390i
$238$	7.45509	+	20.7512i	0.483242	+	1.34510i
$239$	−13.7719			−0.890831			−0.445415	−	0.895324i	$-0.646944\pi$
$239$	−13.7719			−0.890831			−0.445415	+	0.895324i	$0.646944\pi$
$240$	−0.869604	+	3.18953i	−0.0561327	+	0.205883i
$241$	−0.456648	−	0.790937i	−0.0294153	−	0.0509487i	0.850943	−	0.525258i	$-0.176031\pi$
$241$	−0.456648	−	0.790937i	−0.0294153	−	0.0509487i	−0.880358	+	0.474309i	$0.842698\pi$
$242$	10.6191	−	9.61364i	0.682619	−	0.617988i
$243$	2.42788	+	9.06096i	0.155748	+	0.581261i
$244$	−2.70696	−	5.99238i	−0.173295	−	0.383623i
$245$	0.998831	−	15.6206i	0.0638130	−	0.997962i
$246$	2.68925	+	1.73609i	0.171461	+	0.110689i
$247$	−8.23156	−	30.7206i	−0.523762	−	1.95471i
$248$	3.68976	+	1.60700i	0.234300	+	0.102045i
$249$	−4.17230	+	2.40888i	−0.264409	+	0.152656i
$250$	4.23647	+	15.2333i	0.267938	+	0.963436i
$251$	0.192874			0.0121741			0.00608705	−	0.999981i	$-0.498062\pi$
$251$	0.192874			0.0121741			0.00608705	+	0.999981i	$0.498062\pi$
$252$	14.7583	+	3.42988i	0.929685	+	0.216062i
$253$	−1.69866	−	1.69866i	−0.106794	−	0.106794i
$254$	8.91796	−	4.57438i	0.559562	−	0.287022i
$255$	3.66864	−	3.20361i	0.229739	−	0.200618i
$256$	−12.7375	+	9.68272i	−0.796096	+	0.605170i
$257$	18.6795	−	5.00515i	1.16519	−	0.312213i	0.376156	−	0.926556i	$-0.377246\pi$
$257$	18.6795	−	5.00515i	1.16519	−	0.312213i	0.789039	+	0.614343i	$0.210579\pi$
$258$	−5.12031	+	1.10285i	−0.318776	+	0.0686607i
$259$	4.08625	+	1.68371i	0.253907	+	0.104621i
$260$	4.49296	−	26.6747i	0.278642	−	1.65429i
$261$	12.7884	+	7.38336i	0.791580	+	0.457019i
$262$	−5.76491	+	5.21908i	−0.356158	+	0.322436i
$263$	5.24206	−	19.5636i	0.323239	−	1.20635i	−0.592831	−	0.805327i	$-0.701990\pi$
$263$	5.24206	−	19.5636i	0.323239	−	1.20635i	0.916070	−	0.401018i	$-0.131344\pi$
$264$	0.607891	−	0.763278i	0.0374131	−	0.0469765i
$265$	−9.92285	+	14.7828i	−0.609556	+	0.908101i
$266$	−19.6060	+	1.63306i	−1.20212	+	0.100129i
$267$	3.12068	+	3.12068i	0.190982	+	0.190982i
$268$	3.14611	−	2.57601i	0.192179	−	0.157355i
$269$	−2.29596	−	3.97672i	−0.139987	−	0.242465i	0.787504	−	0.616309i	$-0.211373\pi$
$269$	−2.29596	−	3.97672i	−0.139987	−	0.242465i	−0.927491	+	0.373844i	$0.878039\pi$
$270$	−0.987418	−	6.78180i	−0.0600923	−	0.412727i
$271$	−18.4195	−	10.6345i	−1.11890	−	0.645999i	−0.177782	−	0.984070i	$-0.556892\pi$
$271$	−18.4195	−	10.6345i	−1.11890	−	0.645999i	−0.941121	+	0.338071i	$0.890226\pi$
$272$	23.5251	−	1.48854i	1.42642	−	0.0902561i
$273$	5.86588	+	0.761195i	0.355019	+	0.0460696i
$274$	0.912678	−	1.41377i	0.0551369	−	0.0854087i
$275$	0.628707	−	4.62427i	0.0379125	−	0.278854i
$276$	1.54529	+	1.10998i	0.0930155	+	0.0668131i
$277$	−15.4644	−	4.14367i	−0.929164	−	0.248969i	−0.237666	−	0.971347i	$-0.576382\pi$
$277$	−15.4644	−	4.14367i	−0.929164	−	0.248969i	−0.691498	+	0.722378i	$0.743049\pi$
$278$	−3.13580	+	9.74067i	−0.188073	+	0.584207i
$279$	−4.07426			−0.243920
$280$	−15.7440	−	5.66804i	−0.940884	−	0.338730i
$281$	−18.0107			−1.07443			−0.537214	−	0.843446i	$-0.680523\pi$
$281$	−18.0107			−1.07443			−0.537214	+	0.843446i	$0.680523\pi$
$282$	1.51975	−	4.72078i	0.0905000	−	0.281118i
$283$	3.61970	+	0.969897i	0.215169	+	0.0576544i	0.364793	−	0.931089i	$-0.381140\pi$
$283$	3.61970	+	0.969897i	0.215169	+	0.0576544i	−0.149624	+	0.988743i	$0.547806\pi$
$284$	−14.6334	+	20.3722i	−0.868333	+	1.20887i
$285$	1.91382	+	3.90163i	0.113365	+	0.231113i
$286$	−4.33029	+	6.70775i	−0.256055	+	0.396638i
$287$	−9.83914	+	12.8720i	−0.580786	+	0.759808i
$288$	7.90823	−	14.1360i	0.465997	−	0.832973i
$289$	−15.3528	−	8.86395i	−0.903106	−	0.521409i
$290$	−13.0728	−	9.74982i	−0.767658	−	0.572529i
$291$	−1.15328	−	1.99754i	−0.0676065	−	0.117098i
$292$	−4.20680	−	5.13782i	−0.246184	−	0.300668i
$293$	−6.03311	−	6.03311i	−0.352458	−	0.352458i	0.508565	−	0.861023i	$-0.330176\pi$
$293$	−6.03311	−	6.03311i	−0.352458	−	0.352458i	−0.861023	+	0.508565i	$0.830176\pi$
$294$	1.10835	−	3.48712i	0.0646402	−	0.203373i
$295$	2.21379	−	0.435484i	0.128892	−	0.0253549i
$296$	2.94342	−	3.69580i	0.171083	−	0.214814i
$297$	−0.523536	+	1.95386i	−0.0303786	+	0.113375i
$298$	3.41711	−	3.09358i	0.197948	−	0.179206i
$299$	−13.4822	−	7.78396i	−0.779696	−	0.450158i
$300$	0.101134	+	3.69478i	0.00583897	+	0.213318i
$301$	−3.50911	−	26.2777i	−0.202262	−	1.51462i
$302$	24.8923	−	5.36150i	1.43239	−	0.308520i
$303$	0.539687	−	0.144609i	0.0310042	−	0.00830756i
$304$	−4.14980	+	20.6189i	−0.238007	+	1.18257i
$305$	−4.83551	−	5.53743i	−0.276881	−	0.317072i
$306$	−21.2331	+	10.8913i	−1.21382	+	0.622616i
$307$	−14.8970	−	14.8970i	−0.850215	−	0.850215i	0.139944	−	0.990159i	$-0.455308\pi$
$307$	−14.8970	−	14.8970i	−0.850215	−	0.850215i	−0.990159	+	0.139944i	$0.955308\pi$
$308$	3.60716	+	3.37357i	0.205537	+	0.192227i
$309$	−1.70335			−0.0969002
$310$	4.46867	+	0.526217i	0.253804	+	0.0298871i
$311$	−3.12920	+	1.80664i	−0.177441	+	0.102445i	−0.586090	−	0.810246i	$-0.699333\pi$
$311$	−3.12920	+	1.80664i	−0.177441	+	0.102445i	0.408649	+	0.912692i	$0.366000\pi$
$312$	2.52498	−	5.79748i	0.142949	−	0.328217i
$313$	0.450144	+	1.67996i	0.0254437	+	0.0949570i	0.977480	−	0.211028i	$-0.0676810\pi$
$313$	0.450144	+	1.67996i	0.0254437	+	0.0949570i	−0.952036	+	0.305985i	$0.901014\pi$
$314$	20.4143	+	13.1788i	1.15205	+	0.743721i
$315$	16.9040	−	1.10352i	0.952434	−	0.0621764i
$316$	−7.37983	+	3.33371i	−0.415148	+	0.187536i
$317$	−0.369498	−	1.37898i	−0.0207531	−	0.0774515i	0.954773	−	0.297337i	$-0.0960984\pi$
$317$	−0.369498	−	1.37898i	−0.0207531	−	0.0774515i	−0.975526	+	0.219885i	$0.929432\pi$
$318$	−3.08545	+	2.79332i	−0.173024	+	0.156642i
$319$	2.40672	+	4.16856i	0.134750	+	0.233394i
$320$	−10.4996	+	14.4831i	−0.586943	+	0.809628i
$321$	−4.65114			−0.259601
$322$	−6.22085	+	7.35132i	−0.346674	+	0.409673i
$323$	21.9105	−	21.9105i	1.21913	−	1.21913i
$324$	−1.54445	+	15.5015i	−0.0858026	+	0.861194i
$325$	−3.82067	−	30.0010i	−0.211933	−	1.66415i
$326$	1.70049	−	34.2199i	0.0941815	−	1.89526i
$327$	−0.411673	−	1.53639i	−0.0227656	−	0.0849623i
$328$	10.2942	+	13.9293i	0.568399	+	0.769119i
$329$	23.2090	+	9.56312i	1.27956	+	0.527232i
$330$	0.403656	−	1.01352i	0.0222205	−	0.0557923i
$331$	4.50741	−	7.80706i	0.247750	−	0.429115i	−0.715152	−	0.698969i	$-0.753642\pi$
$331$	4.50741	−	7.80706i	0.247750	−	0.429115i	0.962901	+	0.269855i	$0.0869757\pi$
$332$	−25.7255	+	4.21745i	−1.41187	+	0.231463i
$333$	−1.23795	+	4.62010i	−0.0678393	+	0.253180i
$334$	−0.576969	+	0.295951i	−0.0315703	+	0.0161937i
$335$	2.53368	−	3.77462i	0.138430	−	0.206229i
$336$	−3.25154	−	2.17452i	−0.177386	−	0.118630i
$337$	−14.5042	−	14.5042i	−0.790093	−	0.790093i	0.191416	−	0.981509i	$-0.438692\pi$
$337$	−14.5042	−	14.5042i	−0.790093	−	0.790093i	−0.981509	+	0.191416i	$0.938692\pi$
$338$	−10.2216	+	31.7512i	−0.555983	+	1.72704i
$339$	−1.47963	+	0.854263i	−0.0803623	+	0.0463972i
$340$	24.6953	−	9.20328i	1.33929	−	0.499118i
$341$	−1.15014	−	0.664033i	−0.0622835	−	0.0359594i
$342$	−4.48328	−	20.8149i	−0.242428	−	1.12554i
$343$	17.1496	+	6.99211i	0.925994	+	0.377538i
$344$	−28.0276	−	4.20605i	−1.51115	−	0.226775i
$345$	2.01286	+	0.688024i	0.108369	+	0.0370420i
$346$	16.4755	+	0.818719i	0.885729	+	0.0440146i
$347$	−4.33964	+	16.1957i	−0.232964	+	0.869433i	0.746092	+	0.665842i	$0.231928\pi$
$347$	−4.33964	+	16.1957i	−0.232964	+	0.869433i	−0.979056	+	0.203590i	$0.934739\pi$
$348$	−2.41516	−	2.94967i	−0.129466	−	0.158119i
$349$	−2.69468			−0.144243			−0.0721214	−	0.997396i	$-0.522977\pi$
$349$	−2.69468			−0.144243			−0.0721214	+	0.997396i	$0.522977\pi$
$350$	−18.6830	−	0.972915i	−0.998647	−	0.0520045i
$351$			13.1087i			0.699689i
$352$	4.53636	−	2.70161i	0.241789	−	0.143996i
$353$	−8.71218	−	2.33442i	−0.463703	−	0.124249i	0.0194013	−	0.999812i	$-0.493824\pi$
$353$	−8.71218	−	2.33442i	−0.463703	−	0.124249i	−0.483104	+	0.875563i	$0.660491\pi$
$354$	0.526776	+	0.0261771i	0.0279978	+	0.00139130i
$355$	−9.07054	+	26.5364i	−0.481414	+	1.40841i
$356$	9.83105	+	21.7630i	0.521045	+	1.15343i
$357$	2.21523	+	5.32011i	0.117242	+	0.281570i
$358$	14.2386	−	3.06683i	0.752534	−	0.162087i
$359$	−7.69847	+	13.3341i	−0.406310	+	0.703749i	−0.994473	−	0.104993i	$-0.966518\pi$
$359$	−7.69847	+	13.3341i	−0.406310	+	0.703749i	0.588163	+	0.808742i	$0.299851\pi$
$360$	3.89056	−	17.6868i	0.205050	−	0.932175i
$361$	4.32370	+	7.48887i	0.227563	+	0.394151i
$362$	−1.87638	+	5.82855i	−0.0986202	+	0.306342i
$363$	2.64726	−	2.64726i	0.138945	−	0.138945i
$364$	28.2381	+	15.0673i	1.48008	+	0.789741i
$365$	−6.16421	−	4.13768i	−0.322650	−	0.216576i
$366$	−0.784346	−	1.52912i	−0.0409984	−	0.0799281i
$367$	−6.35657	−	1.70324i	−0.331810	−	0.0889083i	0.0890677	−	0.996026i	$-0.471611\pi$
$367$	−6.35657	−	1.70324i	−0.331810	−	0.0889083i	−0.420878	+	0.907117i	$0.638278\pi$
$368$	5.70031	+	8.57298i	0.297149	+	0.446898i
$369$	−15.1853	−	8.76722i	−0.790514	−	0.456403i
$370$	1.95451	−	4.90746i	0.101610	−	0.255127i
$371$	−12.8554	−	16.6893i	−0.667417	−	0.866464i
$372$	0.984006	+	0.371623i	0.0510183	+	0.0192678i
$373$	−1.83269	+	0.491068i	−0.0948931	+	0.0254265i	−0.305953	−	0.952047i	$-0.598975\pi$
$373$	−1.83269	+	0.491068i	−0.0948931	+	0.0254265i	0.211060	+	0.977473i	$0.432308\pi$
$374$	−7.76907	−	0.386069i	−0.401729	−	0.0199632i
$375$	1.30347	+	3.92148i	0.0673111	+	0.202504i
$376$	16.7180	−	20.9914i	0.862165	−	1.08255i
$377$	22.0571	+	22.0571i	1.13600	+	1.13600i
$378$	7.97981	+	1.44135i	0.410437	+	0.0741350i
$379$		−	8.18575i		−	0.420473i	−0.977651	−	0.210237i	$-0.932577\pi$
$379$		−	8.18575i		−	0.420473i	0.977651	−	0.210237i	$-0.0674235\pi$
$380$	2.22892	+	23.4090i	0.114341	+	1.20086i
$381$	2.26857	−	1.30976i	0.116223	−	0.0671011i
$382$	20.7698	+	22.9420i	1.06268	+	1.17382i
$383$	34.8240	−	9.33107i	1.77943	−	0.476796i	0.788947	−	0.614462i	$-0.210627\pi$
$383$	34.8240	−	9.33107i	1.77943	−	0.476796i	0.990479	+	0.137666i	$0.0439600\pi$
$384$	−3.19936	+	2.69277i	−0.163267	+	0.137415i
$385$	4.95176	+	2.44354i	0.252365	+	0.124534i
$386$	26.1236	+	16.8645i	1.32965	+	0.858378i
$387$	27.7141	−	7.42596i	1.40878	−	0.377483i
$388$	−2.01916	−	12.3164i	−0.102507	−	0.625271i
$389$	4.99176	+	8.64599i	0.253092	+	0.438369i	0.964376	−	0.264537i	$-0.0852190\pi$
$389$	4.99176	+	8.64599i	0.253092	+	0.438369i	−0.711283	+	0.702906i	$0.751886\pi$
$390$	0.826811	−	7.02134i	0.0418672	−	0.355539i
$391$		−	15.1674i		−	0.767048i
$392$	12.2770	−	15.5330i	0.620082	−	0.784537i
$393$	−1.43715	+	1.43715i	−0.0724947	+	0.0724947i
$394$	1.52611	−	0.782806i	0.0768845	−	0.0394372i
$395$	−6.81954	+	5.95510i	−0.343128	+	0.299634i
$396$	−3.11834	+	4.34127i	−0.156702	+	0.218157i
$397$	6.36274	+	23.7461i	0.319337	+	1.19178i	0.919884	+	0.392191i	$0.128283\pi$
$397$	6.36274	+	23.7461i	0.319337	+	1.19178i	−0.600547	+	0.799589i	$0.705051\pi$
$398$	−2.94897	−	13.6914i	−0.147818	−	0.686288i
$399$	−5.09671	+	0.680611i	−0.255154	+	0.0340731i
$400$	−6.55155	+	18.8965i	−0.327578	+	0.944824i
$401$	−0.336778	+	0.583317i	−0.0168179	+	0.0291295i	−0.874312	−	0.485365i	$-0.838687\pi$
$401$	−0.336778	+	0.583317i	−0.0168179	+	0.0291295i	0.857494	+	0.514494i	$0.172020\pi$
$402$	0.787834	−	0.713241i	0.0392936	−	0.0355732i
$403$	−8.31327	−	2.22753i	−0.414113	−	0.110961i
$404$	3.00838	+	0.299731i	0.149672	+	0.0149122i
$405$	3.36175	+	17.0895i	0.167047	+	0.849183i
$406$	15.8524	−	11.0018i	0.786740	−	0.546012i
$407$	−1.10246	+	1.10246i	−0.0546469	+	0.0546469i
$408$	6.12160	−	0.693724i	0.303064	−	0.0343445i
$409$	−16.9971	+	9.81326i	−0.840450	+	0.485234i	−0.857417	−	0.514622i	$-0.827932\pi$
$409$	−16.9971	+	9.81326i	−0.840450	+	0.485234i	0.0169669	+	0.999856i	$0.494599\pi$
$410$	15.5230	+	11.5772i	0.766625	+	0.571758i
$411$	0.219903	−	0.380883i	0.0108470	−	0.0187876i
$412$	−8.62243	−	3.25638i	−0.424797	−	0.160430i
$413$	−0.343543	+	2.64739i	−0.0169046	+	0.130270i
$414$	−8.75627	−	5.65274i	−0.430347	−	0.277817i
$415$	−26.1674	+	12.8356i	−1.28451	+	0.630075i
$416$	23.8649	−	24.5199i	1.17007	−	1.20219i
$417$	−0.692206	+	2.58335i	−0.0338975	+	0.126507i
$418$	2.12686	−	6.60662i	0.104028	−	0.323140i
$419$			18.0799i			0.883263i	0.897197	+	0.441631i	$0.145600\pi$
$419$			18.0799i			0.883263i	−0.897197	+	0.441631i	$0.854400\pi$
$420$	−4.18328	−	1.27534i	−0.204123	−	0.0622301i
$421$			16.5073i			0.804518i	0.915526	+	0.402259i	$0.131775\pi$
$421$			16.5073i			0.804518i	−0.915526	+	0.402259i	$0.868225\pi$
$422$	24.8087	+	7.98664i	1.20767	+	0.388784i
$423$	−7.03131	+	26.2412i	−0.341874	+	1.27589i
$424$	−20.9588	+	8.24129i	−1.01785	+	0.400232i
$425$	23.4520	−	17.8382i	1.13759	−	0.865281i
$426$	−3.55559	+	5.50772i	−0.172269	+	0.266850i
$427$	8.03016	−	3.34366i	0.388606	−	0.161811i
$428$	−23.5443	−	8.89182i	−1.13806	−	0.429802i
$429$	−1.04335	+	1.80714i	−0.0503735	+	0.0872494i
$430$	−31.3561	+	4.56539i	−1.51212	+	0.220163i
$431$	14.3957	−	8.31135i	0.693416	−	0.400344i	−0.111475	−	0.993767i	$-0.535557\pi$
$431$	14.3957	−	8.31135i	0.693416	−	0.400344i	0.804890	+	0.593423i	$0.202224\pi$
$432$	3.85168	−	7.76614i	0.185314	−	0.373649i
$433$	18.2234	−	18.2234i	0.875760	−	0.875760i	−0.117332	−	0.993093i	$-0.537434\pi$
$433$	18.2234	−	18.2234i	0.875760	−	0.875760i	0.993093	+	0.117332i	$0.0374343\pi$
$434$	−2.27007	+	4.81572i	−0.108967	+	0.231162i
$435$	−3.53893	−	2.37548i	−0.169679	−	0.113896i
$436$	0.853277	−	8.56426i	0.0408645	−	0.410154i
$437$	13.0720	+	3.50264i	0.625319	+	0.167554i
$438$	−1.16477	−	1.28659i	−0.0556550	−	0.0614756i
$439$	0.223132	−	0.386476i	0.0106495	−	0.0184455i	−0.860652	−	0.509194i	$-0.829943\pi$
$439$	0.223132	−	0.386476i	0.0106495	−	0.0184455i	0.871301	+	0.490749i	$0.163277\pi$
$440$	3.98091	−	4.35878i	0.189783	−	0.207796i
$441$	−5.11585	+	19.3798i	−0.243612	+	0.922848i
$442$	−49.2794	+	10.6142i	−2.34398	+	0.504866i
$443$	10.0048	+	37.3383i	0.475341	+	1.77400i	0.620094	+	0.784528i	$0.287095\pi$
$443$	10.0048	+	37.3383i	0.475341	+	1.77400i	−0.144753	+	0.989468i	$0.546239\pi$
$444$	0.720398	−	1.00292i	0.0341886	−	0.0475964i
$445$	17.5615	+	20.1107i	0.832494	+	0.953337i
$446$	−14.1690	−	27.6231i	−0.670923	−	1.30799i
$447$	0.851862	−	0.851862i	0.0402917	−	0.0402917i
$448$	−12.3023	−	17.2236i	−0.581229	−	0.813740i
$449$		−	31.7000i		−	1.49602i	−0.663689	−	0.748008i	$-0.731010\pi$
$449$		−	31.7000i		−	1.49602i	0.663689	−	0.748008i	$-0.268990\pi$
$450$	−1.55785	−	20.1872i	−0.0734376	−	0.951632i
$451$	−2.85781	−	4.94987i	−0.134569	−	0.233080i
$452$	−9.12307	+	1.49564i	−0.429113	+	0.0703489i
$453$	6.42824	−	1.72244i	0.302025	−	0.0809274i
$454$	−16.1791	+	25.0619i	−0.759322	+	1.17621i
$455$	35.0949	+	6.99033i	1.64527	+	0.327712i
$456$	−0.815787	+	5.43610i	−0.0382027	+	0.254569i
$457$	27.1592	−	7.27728i	1.27045	−	0.340417i	0.440249	−	0.897876i	$-0.354890\pi$
$457$	27.1592	−	7.27728i	1.27045	−	0.340417i	0.830205	+	0.557459i	$0.188224\pi$
$458$	11.8006	−	10.6833i	0.551405	−	0.499197i
$459$	−11.0604	+	6.38571i	−0.516254	+	0.298059i
$460$	8.87384	+	7.33089i	0.413745	+	0.341804i
$461$		−	3.03886i		−	0.141534i	−0.997493	−	0.0707669i	$-0.977455\pi$
$461$		−	3.03886i		−	0.141534i	0.997493	−	0.0707669i	$-0.0225447\pi$
$462$	0.985362	+	0.833834i	0.0458432	+	0.0387935i
$463$	4.72295	+	4.72295i	0.219494	+	0.219494i	0.808285	−	0.588791i	$-0.200396\pi$
$463$	4.72295	+	4.72295i	0.219494	+	0.219494i	−0.588791	+	0.808285i	$0.700396\pi$
$464$	−6.58662	−	19.5486i	−0.305776	−	0.907519i
$465$	1.17331	+	0.0793955i	0.0544111	+	0.00368188i
$466$	−1.10423	+	22.2211i	−0.0511526	+	1.02937i
$467$	−10.6525	+	2.85433i	−0.492939	+	0.132082i	−0.496721	−	0.867910i	$-0.665463\pi$
$467$	−10.6525	+	2.85433i	−0.492939	+	0.132082i	0.00378232	+	0.999993i	$0.498796\pi$
$468$	−12.2383	+	32.4053i	−0.565715	+	1.49793i
$469$	3.28247	+	4.26141i	0.151570	+	0.196774i
$470$	11.1012	−	27.8734i	0.512060	−	1.28570i
$471$	5.49983	+	3.17533i	0.253419	+	0.146311i
$472$	2.61652	+	1.13957i	0.120435	+	0.0524531i
$473$	9.03381	+	2.42060i	0.415375	+	0.111299i
$474$	−1.88316	+	0.965949i	−0.0864964	+	0.0443675i
$475$	9.95807	+	24.3315i	0.456908	+	1.11641i
$476$	1.04286	+	31.1656i	0.0477994	+	1.42847i
$477$	16.1215	−	16.1215i	0.738153	−	0.738153i
$478$	−18.5394	−	5.96837i	−0.847972	−	0.272987i
$479$	4.81272	+	8.33587i	0.219899	+	0.380876i	0.954777	−	0.297323i	$-0.0960940\pi$
$479$	4.81272	+	8.33587i	0.219899	+	0.380876i	−0.734878	+	0.678199i	$0.762761\pi$
$480$	−2.55289	+	3.91681i	−0.116523	+	0.178777i
$481$	−5.05192	+	8.75018i	−0.230348	+	0.398974i
$482$	−0.271957	−	1.26264i	−0.0123873	−	0.0575116i
$483$	−1.52851	+	1.99966i	−0.0695495	+	0.0909876i
$484$	18.4614	−	8.33963i	0.839155	−	0.379074i
$485$	−6.14521	−	12.5280i	−0.279039	−	0.568866i
$486$	−0.658425	+	13.2498i	−0.0298667	+	0.601024i
$487$	31.8333	+	8.52972i	1.44251	+	0.386518i	0.893410	−	0.449241i	$-0.148306\pi$
$487$	31.8333	+	8.52972i	1.44251	+	0.386518i	0.549096	+	0.835760i	$0.314972\pi$
$488$	−1.04710	−	9.23992i	−0.0474002	−	0.418271i
$489$		−	8.95469i		−	0.404945i
$490$	8.11413	−	20.5952i	0.366559	−	0.930395i
$491$	−29.0829			−1.31250			−0.656248	−	0.754546i	$-0.727857\pi$
$491$	−29.0829			−1.31250			−0.656248	+	0.754546i	$0.727857\pi$
$492$	2.86783	+	3.50253i	0.129292	+	0.157906i
$493$	−7.86575	+	29.3554i	−0.354256	+	1.32210i
$494$	2.23235	−	44.9227i	0.100438	−	2.02117i
$495$	−1.93290	+	5.65483i	−0.0868776	+	0.254166i
$496$	4.27063	+	3.76235i	0.191757	+	0.168934i
$497$	−26.3624	−	20.1510i	−1.18251	−	0.903897i
$498$	−6.66059	+	1.43461i	−0.298468	+	0.0642865i
$499$	−2.03353	−	1.17406i	−0.0910334	−	0.0525581i	0.453792	−	0.891108i	$-0.350071\pi$
$499$	−2.03353	−	1.17406i	−0.0910334	−	0.0525581i	−0.544826	+	0.838549i	$0.683404\pi$
$500$	−0.898647	+	22.3426i	−0.0401887	+	0.999192i
$501$	−0.146771	+	0.0847382i	−0.00655724	+	0.00378583i
$502$	0.259642	+	0.0835863i	0.0115884	+	0.00373064i
$503$	−3.87893	−	3.87893i	−0.172953	−	0.172953i	0.615322	−	0.788276i	$-0.289026\pi$
$503$	−3.87893	−	3.87893i	−0.172953	−	0.172953i	−0.788276	+	0.615322i	$0.789026\pi$
$504$	18.3808	+	11.0131i	0.818747	+	0.490560i
$505$	3.31656	−	0.652416i	0.147585	−	0.0290321i
$506$	−1.55054	−	3.02285i	−0.0689300	−	0.134382i
$507$	−2.25635	+	8.42080i	−0.100208	+	0.373981i
$508$	13.9875	−	2.29312i	0.620597	−	0.101741i
$509$	6.06913	−	10.5120i	0.269009	−	0.465938i	−0.699597	−	0.714538i	$-0.746637\pi$
$509$	6.06913	−	10.5120i	0.269009	−	0.465938i	0.968606	+	0.248600i	$0.0799704\pi$
$510$	6.32699	−	2.72273i	0.280164	−	0.120565i
$511$	6.95918	−	5.36050i	0.307856	−	0.237134i
$512$	−21.3432	+	7.51454i	−0.943245	+	0.332099i
$513$	−2.94933	−	11.0070i	−0.130216	−	0.485973i
$514$	27.3150	+	1.35737i	1.20481	+	0.0598708i
$515$	−10.2812	−	0.695709i	−0.453046	−	0.0306566i
$516$	−7.37078	−	0.734367i	−0.324480	−	0.0323287i
$517$	−6.26175	+	6.26175i	−0.275391	+	0.275391i
$518$	4.77113	+	4.03744i	0.209632	+	0.177395i
$519$	4.31133			0.189246
$520$	17.6084	−	33.9616i	0.772179	−	1.48932i
$521$	−2.07706	−	3.59757i	−0.0909976	−	0.157612i	0.816934	−	0.576732i	$-0.195672\pi$
$521$	−2.07706	−	3.59757i	−0.0909976	−	0.157612i	−0.907931	+	0.419119i	$0.862339\pi$
$522$	14.0156	+	15.4814i	0.613447	+	0.677604i
$523$	−1.35236	−	5.04706i	−0.0591344	−	0.220693i	0.930035	−	0.367471i	$-0.119776\pi$
$523$	−1.35236	−	5.04706i	−0.0591344	−	0.220693i	−0.989169	+	0.146778i	$0.953110\pi$
$524$	−10.0224	+	4.52745i	−0.437830	+	0.197782i
$525$	−4.88956	−	0.0116162i	−0.213398	−	0.000506973i
$526$	15.5351	−	24.0643i	0.677362	−	1.04925i
$527$	−2.17022	−	8.09939i	−0.0945364	−	0.352815i
$528$	1.14911	−	0.764062i	0.0500087	−	0.0332515i
$529$	−14.1817	+	8.18783i	−0.616597	+	0.355992i
$530$	−19.7644	+	15.6000i	−0.858509	+	0.677619i
$531$	−2.88918			−0.125380
$532$	−27.1009	−	6.29834i	−1.17497	−	0.273068i
$533$	−26.1913	−	26.1913i	−1.13447	−	1.13447i
$534$	2.84856	+	5.55340i	0.123269	+	0.240319i
$535$	−28.0738	−	1.89969i	−1.21374	−	0.0821309i
$536$	5.35159	−	2.10432i	0.231153	−	0.0908926i
$537$	3.67701	−	0.985252i	0.158675	−	0.0425168i
$538$	−1.36736	−	6.34836i	−0.0589512	−	0.273697i
$539$	−4.60274	+	4.63701i	−0.198254	+	0.199730i
$540$	1.60981	−	9.55741i	0.0692751	−	0.411285i
$541$	−17.3067	−	9.99202i	−0.744073	−	0.429591i	0.0794756	−	0.996837i	$-0.474675\pi$
$541$	−17.3067	−	9.99202i	−0.744073	−	0.429591i	−0.823548	+	0.567246i	$0.808009\pi$
$542$	−20.1871	−	22.2984i	−0.867112	−	0.957797i
$543$	−0.414196	+	1.54580i	−0.0177749	+	0.0663367i
$544$	32.3140	+	8.19130i	1.38545	+	0.351199i
$545$	−1.85730	−	9.44160i	−0.0795580	−	0.404434i
$546$	7.56662	+	3.56681i	0.323821	+	0.152646i
$547$	11.1516	+	11.1516i	0.476807	+	0.476807i	0.904109	−	0.427302i	$-0.140536\pi$
$547$	11.1516	+	11.1516i	0.476807	+	0.476807i	−0.427302	+	0.904109i	$0.640536\pi$
$548$	1.84131	−	1.50765i	0.0786569	−	0.0644035i
$549$	4.70699	+	8.15275i	0.200890	+	0.347951i
$550$	2.85038	−	5.95261i	0.121541	−	0.253820i
$551$	−23.4835	−	13.5582i	−1.00043	−	0.577599i
$552$	1.59919	+	2.16392i	0.0680662	+	0.0921025i
$553$	−4.11783	−	9.88942i	−0.175108	−	0.420541i
$554$	−19.0220	−	12.2799i	−0.808168	−	0.521725i
$555$	0.446539	−	1.30638i	0.0189545	−	0.0554527i
$556$	−8.44268	+	11.7537i	−0.358050	+	0.498467i
$557$	−8.94229	−	2.39608i	−0.378897	−	0.101525i	0.0643436	−	0.997928i	$-0.479505\pi$
$557$	−8.94229	−	2.39608i	−0.378897	−	0.101525i	−0.443241	+	0.896403i	$0.646171\pi$
$558$	−5.48467	−	1.76567i	−0.232184	−	0.0747469i
$559$	60.6088			2.56348
$560$	−18.7378	−	14.4532i	−0.791817	−	0.610759i
$561$	−2.03302			−0.0858340
$562$	−24.2456	−	7.80535i	−1.02274	−	0.329249i
$563$	−26.2394	−	7.03083i	−1.10586	−	0.296314i	−0.340711	−	0.940168i	$-0.610668\pi$
$563$	−26.2394	−	7.03083i	−1.10586	−	0.296314i	−0.765149	+	0.643854i	$0.777334\pi$
$564$	4.09171	−	5.69637i	0.172292	−	0.239861i
$565$	−9.27978	+	4.55191i	−0.390403	+	0.191500i
$566$	4.45243	+	2.87433i	0.187150	+	0.120817i
$567$	−20.4367	−	2.65200i	−0.858261	−	0.111374i
$568$	−28.5279	+	21.0829i	−1.19700	+	0.884619i
$569$	3.24556	+	1.87383i	0.136061	+	0.0785549i	0.566485	−	0.824072i	$-0.308303\pi$
$569$	3.24556	+	1.87383i	0.136061	+	0.0785549i	−0.430424	+	0.902627i	$0.641636\pi$
$570$	0.885482	+	6.08168i	0.0370888	+	0.254734i
$571$	0.0783914	+	0.135778i	0.00328058	+	0.00568213i	0.867661	−	0.497156i	$-0.165622\pi$
$571$	0.0783914	+	0.135778i	0.00328058	+	0.00568213i	−0.864380	+	0.502838i	$0.832289\pi$
$572$	−8.73628	+	7.15318i	−0.365282	+	0.299089i
$573$	5.71928	+	5.71928i	0.238926	+	0.238926i
$574$	−18.8236	+	13.0639i	−0.785681	+	0.545277i
$575$	11.8684	+	4.97496i	0.494946	+	0.207470i
$576$	16.7720	−	15.6023i	0.698834	−	0.650098i
$577$	−6.79286	+	25.3513i	−0.282791	+	1.05539i	0.667648	+	0.744477i	$0.267301\pi$
$577$	−6.79286	+	25.3513i	−0.282791	+	1.05539i	−0.950439	+	0.310912i	$0.899366\pi$
$578$	−16.8262	−	18.5859i	−0.699877	−	0.773072i
$579$	7.03796	+	4.06337i	0.292488	+	0.168868i
$580$	−13.3729	−	18.7903i	−0.555280	−	0.780227i
$581$	−4.56471	−	34.1825i	−0.189376	−	1.41813i
$582$	−0.686838	−	3.18884i	−0.0284704	−	0.132182i
$583$	7.17852	−	1.92348i	0.297304	−	0.0796623i
$584$	−3.43649	−	8.73952i	−0.142203	−	0.361644i
$585$	−2.61465	+	38.6395i	−0.108102	+	1.59755i
$586$	−5.50704	−	10.7362i	−0.227494	−	0.443509i
$587$	−16.2301	−	16.2301i	−0.669886	−	0.669886i	0.287803	−	0.957689i	$-0.407075\pi$
$587$	−16.2301	−	16.2301i	−0.669886	−	0.669886i	−0.957689	+	0.287803i	$0.907075\pi$
$588$	3.00325	−	4.21394i	0.123852	−	0.173780i
$589$	7.48163			0.308275
$590$	3.16887	+	0.373156i	0.130460	+	0.0153626i
$591$	0.388217	−	0.224137i	0.0159691	−	0.00921977i
$592$	5.56401	−	3.69960i	0.228679	−	0.152052i
$593$	−11.9395	−	44.5589i	−0.490297	−	1.82981i	−0.554919	−	0.831904i	$-0.687251\pi$
$593$	−11.9395	−	44.5589i	−0.490297	−	1.82981i	0.0646222	−	0.997910i	$-0.479416\pi$
$594$	−1.55152	+	2.40335i	−0.0636597	+	0.0986108i
$595$	11.1980	+	33.0164i	0.459071	+	1.35354i
$596$	5.94071	−	2.68361i	0.243341	−	0.109925i
$597$	−0.947388	−	3.53570i	−0.0387740	−	0.144707i
$598$	−14.7761	−	16.3214i	−0.604238	−	0.667431i
$599$	−12.3081	−	21.3182i	−0.502894	−	0.871038i	−0.999994	−	0.00334470i	$-0.998935\pi$
$599$	−12.3081	−	21.3182i	−0.502894	−	0.871038i	0.497101	−	0.867693i	$-0.334398\pi$
$600$	−1.46507	+	5.01765i	−0.0598114	+	0.204845i
$601$	12.8434			0.523893			0.261947	−	0.965082i	$-0.415636\pi$
$601$	12.8434			0.523893			0.261947	+	0.965082i	$0.415636\pi$
$602$	6.66417	−	36.8952i	0.271611	−	1.50373i
$603$	−4.11643	+	4.11643i	−0.167634	+	0.167634i
$604$	35.8329	+	3.57011i	1.45802	+	0.145266i
$605$	17.0598	−	14.8973i	0.693579	−	0.605662i
$606$	0.789184	+	0.0392170i	0.0320584	+	0.00159308i
$607$	−1.58993	−	5.93369i	−0.0645332	−	0.240841i	0.926124	−	0.377220i	$-0.123120\pi$
$607$	−1.58993	−	5.93369i	−0.0645332	−	0.240841i	−0.990657	+	0.136379i	$0.956453\pi$
$608$	−14.5220	+	25.9582i	−0.588945	+	1.05274i
$609$	3.99533	−	3.07751i	0.161899	−	0.124707i
$610$	−4.10968	−	9.54993i	−0.166396	−	0.386665i
$611$	−28.6939	+	49.6992i	−1.16083	+	2.01062i
$612$	−33.3035	+	5.45978i	−1.34621	+	0.220699i
$613$	−0.885426	+	3.30445i	−0.0357620	+	0.133466i	−0.981499	−	0.191468i	$-0.938675\pi$
$613$	−0.885426	+	3.30445i	−0.0357620	+	0.133466i	0.945737	+	0.324933i	$0.105342\pi$
$614$	−13.5980	−	26.5099i	−0.548771	−	1.06985i
$615$	4.20224	+	2.82072i	0.169450	+	0.113742i
$616$	3.39386	+	6.10467i	0.136742	+	0.245964i
$617$	14.8719	+	14.8719i	0.598718	+	0.598718i	0.939971	−	0.341253i	$-0.110851\pi$
$617$	14.8719	+	14.8719i	0.598718	+	0.598718i	−0.341253	+	0.939971i	$0.610851\pi$
$618$	−2.29301	−	0.738186i	−0.0922383	−	0.0296942i
$619$	35.1024	−	20.2664i	1.41088	−	0.814574i	0.415412	−	0.909633i	$-0.363637\pi$
$619$	35.1024	−	20.2664i	1.41088	−	0.814574i	0.995472	+	0.0950590i	$0.0303040\pi$
$620$	5.78757	+	2.64498i	0.232434	+	0.106225i
$621$	−4.83061	−	2.78895i	−0.193846	−	0.111917i
$622$	−4.99540	+	1.07595i	−0.200297	+	0.0431417i
$623$	−29.1637	+	12.1434i	−1.16842	+	0.486515i
$624$	5.91153	−	6.71016i	0.236651	−	0.268622i
$625$	6.26596	+	24.2020i	0.250638	+	0.968081i
$626$	−0.122076	+	2.45660i	−0.00487915	+	0.0981856i
$627$	0.469489	−	1.75216i	0.0187496	−	0.0699744i
$628$	21.7699	+	26.5879i	0.868715	+	1.06097i
$629$	−9.84389			−0.392502
$630$	23.2340	+	5.84021i	0.925665	+	0.232679i
$631$			40.4404i			1.60991i	0.593339	+	0.804953i	$0.297809\pi$
$631$			40.4404i			1.60991i	−0.593339	+	0.804953i	$0.702191\pi$
$632$	−11.3793	+	1.28955i	−0.452644	+	0.0512954i
$633$	6.57958	+	1.76299i	0.261515	+	0.0700727i
$634$	0.100205	−	2.01648i	0.00397966	−	0.0800848i
$635$	14.2278	−	6.97901i	0.564614	−	0.276954i
$636$	−5.36411	+	2.42315i	−0.212701	+	0.0960840i
$637$	−21.0342	+	36.7463i	−0.833404	+	1.45594i
$638$	1.43332	+	6.65461i	0.0567459	+	0.263459i
$639$	17.9557	−	31.1002i	0.710316	−	1.23030i
$640$	−20.4108	+	14.9465i	−0.806808	+	0.590814i
$641$	−7.27169	−	12.5949i	−0.287214	−	0.497470i	0.685929	−	0.727668i	$-0.259396\pi$
$641$	−7.27169	−	12.5949i	−0.287214	−	0.497470i	−0.973144	+	0.230198i	$0.926063\pi$
$642$	−6.26125	−	2.01568i	−0.247112	−	0.0795525i
$643$	8.71355	−	8.71355i	0.343629	−	0.343629i	−0.514101	−	0.857730i	$-0.671874\pi$
$643$	8.71355	−	8.71355i	0.343629	−	0.343629i	0.857730	+	0.514101i	$0.171874\pi$
$644$	−11.5602	+	7.20022i	−0.455536	+	0.283729i
$645$	−8.12585	+	1.59847i	−0.319955	+	0.0629399i
$646$	38.9907	−	19.9999i	1.53407	−	0.786886i
$647$	30.9101	+	8.28233i	1.21520	+	0.325612i	0.808800	−	0.588083i	$-0.200117\pi$
$647$	30.9101	+	8.28233i	1.21520	+	0.325612i	0.406400	+	0.913695i	$0.366784\pi$
$648$	−8.79702	+	20.1984i	−0.345579	+	0.793468i
$649$	−0.815598	−	0.470886i	−0.0320150	−	0.0184839i
$650$	7.85830	−	42.0423i	0.308228	−	1.64904i
$651$	−0.530103	+	1.28652i	−0.0207764	+	0.0504228i
$652$	17.1191	−	45.3290i	0.670436	−	1.77522i
$653$	28.5721	−	7.65587i	1.11811	−	0.299597i	0.347993	−	0.937497i	$-0.386863\pi$
$653$	28.5721	−	7.65587i	1.11811	−	0.299597i	0.770119	+	0.637900i	$0.220197\pi$
$654$	0.111643	−	2.24665i	0.00436559	−	0.0878511i
$655$	−9.26147	+	8.08751i	−0.361876	+	0.316005i
$656$	7.82114	+	23.2125i	0.305364	+	0.906297i
$657$	6.72243	+	6.72243i	0.262267	+	0.262267i
$658$	27.0991	+	22.9318i	1.05643	+	0.893975i
$659$		−	19.7431i		−	0.769080i	−0.923108	−	0.384540i	$-0.874360\pi$
$659$		−	19.7431i		−	0.769080i	0.923108	−	0.384540i	$-0.125640\pi$
$660$	0.982623	−	1.18944i	0.0382485	−	0.0462988i
$661$	7.75340	−	4.47643i	0.301572	−	0.174113i	−0.341577	−	0.939854i	$-0.610961\pi$
$661$	7.75340	−	4.47643i	0.301572	−	0.174113i	0.643149	+	0.765741i	$0.277628\pi$
$662$	9.45113	−	8.55628i	0.367329	−	0.332549i
$663$	−12.7260	+	3.40993i	−0.494238	+	0.132431i
$664$	−36.4588	−	5.47131i	−1.41487	−	0.212328i
$665$	−31.0411	+	2.02642i	−1.20372	+	0.0785810i
$666$	−3.66872	+	5.68296i	−0.142160	+	0.220210i
$667$	−12.8209	+	3.43536i	−0.496429	+	0.133018i
$668$	−0.904959	+	0.148359i	−0.0350139	+	0.00574019i
$669$	−4.05695	−	7.02684i	−0.156851	−	0.271673i
$670$	5.04660	−	3.98327i	0.194967	−	0.153887i
$671$			3.06863i			0.118463i
$672$	−3.43477	−	4.33641i	−0.132499	−	0.167281i
$673$	4.21226	−	4.21226i	0.162371	−	0.162371i	−0.621245	−	0.783616i	$-0.713373\pi$
$673$	4.21226	−	4.21226i	0.162371	−	0.162371i	0.783616	+	0.621245i	$0.213373\pi$
$674$	−13.2395	−	25.8109i	−0.509965	−	0.994198i
$675$	−1.36893	−	10.7492i	−0.0526901	−	0.413737i
$676$	−27.5202	+	38.3129i	−1.05847	+	1.47357i
$677$	−5.40838	−	20.1844i	−0.207861	−	0.775748i	−0.988558	−	0.150839i	$-0.951803\pi$
$677$	−5.40838	−	20.1844i	−0.207861	−	0.775748i	0.780697	−	0.624909i	$-0.214864\pi$
$678$	−2.36205	+	0.508758i	−0.0907140	+	0.0195387i
$679$	16.3653	−	2.18541i	0.628043	−	0.0838684i
$680$	37.2326	−	1.68697i	1.42781	−	0.0646922i
$681$	−3.89823	+	6.75194i	−0.149381	+	0.258735i
$682$	−1.26051	−	1.39234i	−0.0482676	−	0.0533156i
$683$	−43.0488	−	11.5349i	−1.64722	−	0.441370i	−0.688384	−	0.725347i	$-0.741680\pi$
$683$	−43.0488	−	11.5349i	−1.64722	−	0.441370i	−0.958831	+	0.283977i	$0.908346\pi$
$684$	2.98532	−	29.9634i	0.114147	−	1.14568i
$685$	1.48288	−	2.20915i	0.0566578	−	0.0844074i
$686$	20.0562	+	16.8448i	0.765751	+	0.643137i
$687$	2.94180	−	2.94180i	0.112237	−	0.112237i
$688$	−35.9073	−	17.8085i	−1.36895	−	0.678942i
$689$	41.7090	−	24.0807i	1.58899	−	0.917403i
$690$	2.41149	+	1.79852i	0.0918038	+	0.0684685i
$691$	−0.909913	+	1.57602i	−0.0346147	+	0.0599544i	−0.882814	−	0.469723i	$-0.844354\pi$
$691$	−0.909913	+	1.57602i	−0.0346147	+	0.0599544i	0.848199	+	0.529678i	$0.177687\pi$
$692$	21.8241	+	8.24218i	0.829629	+	0.313321i
$693$	−5.61775	−	4.29412i	−0.213401	−	0.163120i
$694$	−12.8607	+	19.9216i	−0.488186	+	0.756215i
$695$	−5.23321	+	15.3101i	−0.198507	+	0.580744i
$696$	−1.97292	−	5.01744i	−0.0747835	−	0.190186i
$697$	9.34002	−	34.8574i	0.353779	−	1.32032i
$698$	−3.62751	−	1.16780i	−0.137303	−	0.0442019i
$699$			5.81483i			0.219937i
$700$	−24.7289	−	9.40640i	−0.934665	−	0.355529i
$701$			5.61667i			0.212139i	0.994359	+	0.106069i	$0.0338266\pi$
$701$			5.61667i			0.212139i	−0.994359	+	0.106069i	$0.966173\pi$
$702$	−5.68094	+	17.6466i	−0.214413	+	0.666027i
$703$	2.27327	−	8.48396i	0.0857380	−	0.319979i
$704$	7.27755	−	1.67090i	0.274283	−	0.0629744i
$705$	2.53625	−	7.41996i	0.0955208	−	0.279452i
$706$	−10.7164	−	6.91816i	−0.403319	−	0.260368i
$707$	−0.514675	+	3.96616i	−0.0193563	+	0.149163i
$708$	0.697788	+	0.263529i	0.0262245	+	0.00990404i
$709$	−23.2036	+	40.1899i	−0.871431	+	1.50936i	−0.0109136	+	0.999940i	$0.503474\pi$
$709$	−23.2036	+	40.1899i	−0.871431	+	1.50936i	−0.860517	+	0.509422i	$0.829859\pi$
$710$	−23.7107	+	31.7918i	−0.889847	+	1.19312i
$711$	10.0404	−	5.79683i	0.376544	−	0.217398i
$712$	3.80285	+	33.5573i	0.142518	+	1.25761i
$713$	2.58956	−	2.58956i	0.0969797	−	0.0969797i
$714$	0.676495	+	8.12182i	0.0253172	+	0.303952i
$715$	−7.03565	+	10.4815i	−0.263119	+	0.391988i
$716$	20.4967	+	2.04214i	0.765999	+	0.0763182i
$717$	−4.91688	−	1.31747i	−0.183624	−	0.0492019i
$718$	−16.1421	+	14.6138i	−0.602419	+	0.545382i
$719$	−4.65550	+	8.06357i	−0.173621	+	0.300720i	−0.939683	−	0.342046i	$-0.888880\pi$
$719$	−4.65550	+	8.06357i	−0.173621	+	0.300720i	0.766062	+	0.642766i	$0.222213\pi$
$720$	12.9023	−	22.1234i	0.480842	−	0.824492i
$721$	4.64507	−	11.2733i	0.172991	−	0.419838i
$722$	2.57499	+	11.9551i	0.0958312	+	0.444923i
$723$	−0.0873694	−	0.326067i	−0.00324930	−	0.0121266i
$724$	−5.05186	+	7.03307i	−0.187751	+	0.261382i
$725$	−20.3904	−	15.7836i	−0.757280	−	0.586187i
$726$	4.71092	−	2.41642i	0.174839	−	0.0896819i
$727$	−25.4562	+	25.4562i	−0.944119	+	0.944119i	−0.998519	−	0.0543998i	$-0.982675\pi$
$727$	−25.4562	+	25.4562i	−0.944119	+	0.944119i	0.0543998	+	0.998519i	$0.482675\pi$
$728$	31.4837	+	32.5208i	1.16686	+	1.20530i
$729$		−	19.9001i		−	0.737042i
$730$	−6.50496	−	8.24145i	−0.240759	−	0.305030i
$731$	29.5247	+	51.1383i	1.09201	+	1.89142i
$732$	−0.393190	−	2.39837i	−0.0145327	−	0.0886464i
$733$	21.3118	−	5.71047i	0.787168	−	0.210921i	0.157225	−	0.987563i	$-0.449745\pi$
$733$	21.3118	−	5.71047i	0.787168	−	0.210921i	0.629943	+	0.776642i	$0.283078\pi$
$734$	−7.81892	−	5.04762i	−0.288602	−	0.186311i
$735$	1.85093	−	5.48134i	0.0682725	−	0.202182i
$736$	3.95832	+	14.0111i	0.145906	+	0.516456i
$737$	−1.83295	+	0.491138i	−0.0675176	+	0.0180913i
$738$	−16.6426	−	18.3831i	−0.612621	−	0.676691i
$739$	18.0851	−	10.4414i	0.665270	−	0.384094i	−0.129012	−	0.991643i	$-0.541181\pi$
$739$	18.0851	−	10.4414i	0.665270	−	0.384094i	0.794282	+	0.607549i	$0.207847\pi$
$740$	4.75787	−	5.75927i	0.174903	−	0.211715i
$741$		−	11.7554i		−	0.431845i
$742$	−10.0729	−	28.0379i	−0.369788	−	1.02930i
$743$	19.7220	+	19.7220i	0.723531	+	0.723531i	0.969323	−	0.245792i	$-0.0790480\pi$
$743$	19.7220	+	19.7220i	0.723531	+	0.723531i	−0.245792	+	0.969323i	$0.579048\pi$
$744$	1.16359	+	0.926712i	0.0426594	+	0.0339749i
$745$	5.48968	−	4.79382i	0.201126	−	0.175632i
$746$	−2.67994	−	0.133174i	−0.0981195	−	0.00487586i
$747$	36.0509	−	9.65982i	1.31903	−	0.353434i
$748$	−10.2912	−	3.88662i	−0.376284	−	0.142109i
$749$	12.6837	−	30.7826i	0.463454	−	1.12477i
$750$	0.0552422	+	5.84389i	0.00201716	+	0.213389i
$751$	11.7027	+	6.75653i	0.427036	+	0.246549i	0.698083	−	0.716017i	$-0.254037\pi$
$751$	11.7027	+	6.75653i	0.427036	+	0.246549i	−0.271047	+	0.962566i	$0.587370\pi$
$752$	31.6024	−	21.0130i	1.15242	−	0.766263i
$753$	0.0688603	+	0.0184511i	0.00250941	+	0.000672394i
$754$	20.1338	+	39.2517i	0.733229	+	1.42946i
$755$	39.5037	−	7.77095i	1.43769	−	0.282814i
$756$	10.1176	+	5.39854i	0.367973	+	0.196343i
$757$	17.4013	−	17.4013i	0.632459	−	0.632459i	−0.316225	−	0.948684i	$-0.602415\pi$
$757$	17.4013	−	17.4013i	0.632459	−	0.632459i	0.948684	+	0.316225i	$0.102415\pi$
$758$	3.54748	−	11.0194i	0.128850	−	0.400244i
$759$	−0.443960	−	0.768961i	−0.0161147	−	0.0279115i
$760$	−7.14430	+	32.4785i	−0.259151	+	1.17812i
$761$	−8.67408	+	15.0240i	−0.314435	+	0.544618i	−0.979317	−	0.202330i	$-0.935148\pi$
$761$	−8.67408	+	15.0240i	−0.314435	+	0.544618i	0.664882	+	0.746948i	$0.268482\pi$
$762$	3.62151	−	0.780031i	0.131194	−	0.0282575i
$763$	11.2909	+	1.46518i	0.408757	+	0.0530430i
$764$	18.0174	+	39.8851i	0.651847	+	1.44299i
$765$	−33.8755	+	16.6166i	−1.22477	+	0.600774i
$766$	50.9231	+	2.53053i	1.83993	+	0.0914316i
$767$	−5.89519	−	1.57961i	−0.212863	−	0.0570364i
$768$	−5.47387	+	2.23843i	−0.197521	+	0.0807722i
$769$		−	33.6019i		−	1.21171i	−0.795573	−	0.605857i	$-0.792830\pi$
$769$		−	33.6019i		−	1.21171i	0.795573	−	0.605857i	$-0.207170\pi$
$770$	5.60697	+	5.43539i	0.202061	+	0.195878i
$771$	7.14781			0.257422
$772$	27.8583	+	34.0238i	1.00264	+	1.22454i
$773$	−5.43743	+	20.2928i	−0.195571	+	0.729880i	0.796548	+	0.604576i	$0.206657\pi$
$773$	−5.43743	+	20.2928i	−0.195571	+	0.729880i	−0.992118	+	0.125304i	$0.960009\pi$
$774$	40.5262	+	2.01387i	1.45668	+	0.0723871i
$775$	7.04956	+	0.958445i	0.253228	+	0.0344284i
$776$	2.61946	−	17.4551i	0.0940330	−	0.626601i
$777$	1.29781	+	0.992028i	0.0465587	+	0.0355888i
$778$	2.97285	+	13.8023i	0.106582	+	0.494837i
$779$	27.8850	+	16.0994i	0.999083	+	0.576821i
$780$	4.15589	−	9.09363i	0.148805	−	0.325604i
$781$	10.1376	−	5.85292i	0.362750	−	0.209434i
$782$	6.57313	−	20.4180i	0.235055	−	0.730145i
$783$	7.90296	+	7.90296i	0.282429	+	0.282429i
$784$	23.2586	−	15.5897i	0.830664	−	0.556774i
$785$	31.8995	+	21.4123i	1.13854	+	0.764236i
$786$	−2.55748	+	1.31184i	−0.0912223	+	0.0467916i
$787$	4.00750	−	14.9562i	0.142852	−	0.533130i	−0.856990	−	0.515333i	$-0.827668\pi$
$787$	4.00750	−	14.9562i	0.142852	−	0.533130i	0.999842	−	0.0177970i	$-0.00566526\pi$
$788$	2.39366	−	0.392418i	0.0852707	−	0.0139793i
$789$	3.74306	−	6.48318i	0.133257	−	0.230807i
$790$	−11.7611	+	5.06121i	−0.418440	+	0.180070i
$791$	−1.61879	−	12.1222i	−0.0575575	−	0.431015i
$792$	−6.07921	+	4.49270i	−0.216015	+	0.159641i
$793$	5.14694	+	19.2086i	0.182773	+	0.682119i
$794$	−1.72553	+	34.7238i	−0.0612369	+	1.23230i
$795$	−4.95686	+	4.32854i	−0.175802	+	0.153517i
$796$	1.96366	−	19.7090i	0.0695999	−	0.698568i
$797$	−2.17089	+	2.17089i	−0.0768969	+	0.0768969i	−0.744509	−	0.667612i	$-0.767316\pi$
$797$	−2.17089	+	2.17089i	−0.0768969	+	0.0768969i	0.667612	+	0.744509i	$0.267316\pi$
$798$	−7.15602	−	1.29255i	−0.253320	−	0.0457558i
$799$	−55.9113			−1.97800
$800$	−17.0088	+	22.5987i	−0.601350	+	0.798985i
$801$	−17.0947	−	29.6089i	−0.604012	−	1.04618i
$802$	−0.706156	+	0.639297i	−0.0249352	+	0.0225743i
$803$	0.802062	+	2.99334i	0.0283042	+	0.105633i
$804$	1.36966	−	0.618722i	0.0483043	−	0.0218206i
$805$	−10.0426	+	11.4454i	−0.353957	+	0.403398i
$806$	−10.2258	−	6.60139i	−0.360187	−	0.232524i
$807$	−0.439280	−	1.63942i	−0.0154634	−	0.0577102i
$808$	3.91991	+	1.70724i	0.137902	+	0.0600604i
$809$	−18.0260	+	10.4073i	−0.633762	+	0.365902i	−0.782207	−	0.623018i	$-0.785906\pi$
$809$	−18.0260	+	10.4073i	−0.633762	+	0.365902i	0.148446	+	0.988921i	$0.452573\pi$
$810$	−2.88061	+	24.4623i	−0.101214	+	0.859518i
$811$	−55.0469			−1.93296			−0.966480	−	0.256743i	$-0.917351\pi$
$811$	−55.0469			−1.93296			−0.966480	+	0.256743i	$0.917351\pi$
$812$	26.1080	−	7.94043i	0.916210	−	0.278654i
$813$	−5.55882	−	5.55882i	−0.194956	−	0.194956i
$814$	−1.96188	+	1.00633i	−0.0687639	+	0.0352718i
$815$	3.65741	−	54.0495i	0.128114	−	1.89327i
$816$	8.54139	+	1.71906i	0.299008	+	0.0601791i
$817$	−50.8918	+	13.6364i	−1.78048	+	0.477078i
$818$	−27.1338	+	5.84430i	−0.948712	+	0.204341i
$819$	−42.3677	−	17.4573i	−1.48045	−	0.610008i
$820$	15.8794	+	22.3122i	0.554532	+	0.779176i
$821$	29.5682	+	17.0712i	1.03194	+	0.595790i	0.917539	−	0.397645i	$-0.130173\pi$
$821$	29.5682	+	17.0712i	1.03194	+	0.595790i	0.114399	+	0.993435i	$0.463506\pi$
$822$	0.461093	−	0.417436i	0.0160824	−	0.0145597i
$823$	8.20422	−	30.6186i	0.285981	−	1.06730i	−0.662138	−	0.749382i	$-0.730351\pi$
$823$	8.20422	−	30.6186i	0.285981	−	1.06730i	0.948119	−	0.317914i	$-0.102982\pi$
$824$	−10.1961	−	8.12038i	−0.355197	−	0.282887i
$825$	0.666838	−	1.59082i	0.0232163	−	0.0553853i
$826$	−1.60978	+	3.41497i	−0.0560112	+	0.118822i
$827$	13.8807	+	13.8807i	0.482680	+	0.482680i	0.905987	−	0.423306i	$-0.139131\pi$
$827$	13.8807	+	13.8807i	0.482680	+	0.482680i	−0.423306	+	0.905987i	$0.639131\pi$
$828$	−9.33773	−	11.4043i	−0.324508	−	0.396327i
$829$	−18.0996	−	31.3494i	−0.628625	−	1.08881i	−0.987828	−	0.155551i	$-0.950285\pi$
$829$	−18.0996	−	31.3494i	−0.628625	−	1.08881i	0.359203	−	0.933260i	$-0.383049\pi$
$830$	−40.7885	+	5.93874i	−1.41579	+	0.206137i
$831$	−5.12473	−	2.95876i	−0.177775	−	0.102638i
$832$	42.7526	−	22.6658i	1.48218	−	0.785794i
$833$	−41.2510	+	0.152977i	−1.42926	+	0.00530036i
$834$	−2.05138	+	3.17765i	−0.0710335	+	0.110033i
$835$	−0.920503	+	0.451524i	−0.0318553	+	0.0156256i
$836$	5.72625	−	7.97194i	0.198047	−	0.275715i
$837$	−2.97860	−	0.798114i	−0.102956	−	0.0275869i
$838$	−7.83535	+	24.3388i	−0.270668	+	0.840769i
$839$	−36.3979			−1.25660			−0.628298	−	0.777973i	$-0.716248\pi$
$839$	−36.3979			−1.25660			−0.628298	+	0.777973i	$0.716248\pi$
$840$	−5.07873	−	3.52975i	−0.175233	−	0.121788i
$841$	−2.40441			−0.0829108
$842$	−7.15382	+	22.2218i	−0.246537	+	0.765812i
$843$	−6.43022	−	1.72297i	−0.221469	−	0.0593424i
$844$	29.9357	+	21.5028i	1.03043	+	0.740158i
$845$	−17.0584	+	49.9055i	−0.586828	+	1.71680i
$846$	−20.8376	+	32.2781i	−0.716411	+	1.10974i
$847$	10.3012	+	24.7394i	0.353953	+	0.850056i
$848$	−31.7858	+	2.01124i	−1.09153	+	0.0690661i
$849$	1.19953	+	0.692550i	0.0411678	+	0.0237682i
$850$	39.3011	−	13.8499i	1.34802	−	0.475049i
$851$	−2.14966	−	3.72332i	−0.0736893	−	0.127634i
$852$	−7.17334	+	5.87346i	−0.245755	+	0.201221i
$853$	26.4581	+	26.4581i	0.905908	+	0.905908i	0.995939	−	0.0900314i	$-0.0286967\pi$
$853$	26.4581	+	26.4581i	0.905908	+	0.905908i	−0.0900314	+	0.995939i	$0.528697\pi$
$854$	12.2590	−	1.02110i	0.419496	−	0.0349413i
$855$	−6.49806	−	33.0329i	−0.222229	−	1.12970i
$856$	−27.8413	−	22.1734i	−0.951594	−	0.757871i
$857$	1.36367	−	5.08927i	0.0465820	−	0.173846i	−0.938716	−	0.344692i	$-0.887983\pi$
$857$	1.36367	−	5.08927i	0.0465820	−	0.173846i	0.985298	+	0.170846i	$0.0546500\pi$
$858$	−2.18770	+	1.98056i	−0.0746868	+	0.0676153i
$859$	−44.5451	−	25.7181i	−1.51986	−	0.877492i	−0.999726	−	0.0234068i	$-0.992549\pi$
$859$	−44.5451	−	25.7181i	−1.51986	−	0.877492i	−0.520134	−	0.854085i	$-0.674118\pi$
$860$	−44.1893	−	7.44305i	−1.50684	−	0.253806i
$861$	−4.74417	+	3.65433i	−0.161681	+	0.124539i
$862$	22.9810	−	4.94984i	0.782737	−	0.168592i
$863$	−21.7264	+	5.82157i	−0.739575	+	0.198169i	−0.608889	−	0.793255i	$-0.708385\pi$
$863$	−21.7264	+	5.82157i	−0.739575	+	0.198169i	−0.130686	+	0.991424i	$0.541718\pi$
$864$	8.55067	−	8.78538i	0.290900	−	0.298885i
$865$	26.0227	+	1.76090i	0.884799	+	0.0598724i
$866$	32.4294	−	16.6344i	1.10200	−	0.565259i
$867$	−4.63333	−	4.63333i	−0.157356	−	0.157356i
$868$	−5.14291	+	5.49901i	−0.174562	+	0.186649i
$869$	3.77912			0.128198
$870$	−3.73456	−	4.73149i	−0.126613	−	0.160413i
$871$	−10.6499	+	6.14873i	−0.360859	+	0.208342i
$872$	4.86018	−	11.1592i	0.164586	−	0.377899i
$873$	4.62476	+	17.2598i	0.156524	+	0.584157i
$874$	16.0793	+	10.3802i	0.543890	+	0.351116i
$875$	−29.5081	−	2.06718i	−0.997555	−	0.0698835i
$876$	−1.01042	−	2.23676i	−0.0341388	−	0.0755730i
$877$	−6.75014	−	25.1919i	−0.227936	−	0.850668i	−0.981207	−	0.192958i	$-0.938192\pi$
$877$	−6.75014	−	25.1919i	−0.227936	−	0.850668i	0.753271	−	0.657710i	$-0.228475\pi$
$878$	0.467863	−	0.423565i	0.0157896	−	0.0142946i
$879$	−1.57680	−	2.73111i	−0.0531843	−	0.0921179i
$880$	7.24798	−	4.14246i	0.244329	−	0.139642i
$881$	42.2555			1.42362			0.711812	−	0.702370i	$-0.247875\pi$
$881$	42.2555			1.42362			0.711812	+	0.702370i	$0.247875\pi$
$882$	−15.2855	+	23.8716i	−0.514690	+	0.803797i
$883$	−23.2185	+	23.2185i	−0.781366	+	0.781366i	−0.980061	−	0.198695i	$-0.936330\pi$
$883$	−23.2185	+	23.2185i	−0.781366	+	0.781366i	0.198695	+	0.980061i	$0.436330\pi$
$884$	−70.9387	−	7.06778i	−2.38593	−	0.237715i
$885$	0.832031	+	0.0563017i	0.0279684	+	0.00189256i
$886$	−2.71323	+	54.5997i	−0.0911526	+	1.83431i
$887$	−1.36155	−	5.08138i	−0.0457164	−	0.170616i	0.939293	−	0.343116i	$-0.111482\pi$
$887$	−1.36155	−	5.08138i	−0.0457164	−	0.170616i	−0.985010	+	0.172500i	$0.944816\pi$
$888$	1.40442	−	1.03790i	0.0471292	−	0.0348298i
$889$	2.48194	+	18.5858i	0.0832415	+	0.623348i
$890$	14.9254	+	34.6832i	0.500301	+	1.16258i
$891$	3.63503	−	6.29606i	0.121778	−	0.210926i
$892$	−7.10289	−	43.3260i	−0.237822	−	1.45066i
$893$	12.9117	−	48.1871i	0.432074	−	1.61252i
$894$	1.51593	−	0.777582i	0.0507003	−	0.0260062i
$895$	22.5965	−	4.44505i	0.755316	−	0.148582i
$896$	−9.09681	−	28.5175i	−0.303903	−	0.952703i
$897$	−4.06881	−	4.06881i	−0.135853	−	0.135853i
$898$	13.7379	−	42.6738i	0.458441	−	1.42404i
$899$	−6.35484	+	3.66897i	−0.211946	+	0.122367i
$900$	6.65143	−	27.8506i	0.221714	−	0.928353i
$901$	40.6360	+	23.4612i	1.35378	+	0.781606i
$902$	−1.70197	−	7.90188i	−0.0566695	−	0.263104i
$903$	1.26100	−	9.71742i	0.0419633	−	0.323376i
$904$	−12.9294	−	1.94030i	−0.430026	−	0.0645333i
$905$	−3.13141	+	9.16112i	−0.104091	+	0.304526i
$906$	9.40000	+	0.467115i	0.312294	+	0.0155189i
$907$	10.7351	−	40.0638i	0.356452	−	1.33030i	−0.522196	−	0.852825i	$-0.674887\pi$
$907$	10.7351	−	40.0638i	0.356452	−	1.33030i	0.878648	−	0.477470i	$-0.158446\pi$
$908$	−32.6410	+	26.7261i	−1.08323	+	0.886938i
$909$	−4.32839			−0.143564
$910$	44.2145	+	24.6194i	1.46570	+	0.816125i
$911$		−	56.2856i		−	1.86483i	−0.361394	−	0.932413i	$-0.617699\pi$
$911$		−	56.2856i		−	1.86483i	0.361394	−	0.932413i	$-0.382301\pi$
$912$	−3.45405	+	6.96441i	−0.114375	+	0.230615i
$913$	11.7513	+	3.14876i	0.388912	+	0.104209i
$914$	39.7148	+	1.97355i	1.31365	+	0.0652793i
$915$	−1.19665	−	2.43957i	−0.0395602	−	0.0806497i
$916$	20.5155	−	9.26752i	0.677851	−	0.306208i
$917$	−5.59234	−	13.4306i	−0.184675	−	0.443518i
$918$	−17.6566	+	3.80302i	−0.582754	+	0.125518i
$919$	−10.6286	+	18.4093i	−0.350606	+	0.607267i	−0.986356	−	0.164628i	$-0.947358\pi$
$919$	−10.6286	+	18.4093i	−0.350606	+	0.607267i	0.635750	+	0.771895i	$0.280691\pi$
$920$	8.76874	+	13.7143i	0.289097	+	0.452148i
$921$	−3.89345	−	6.74365i	−0.128294	−	0.222211i
$922$	1.31696	−	4.09084i	0.0433717	−	0.134725i
$923$	53.6409	−	53.6409i	1.76561	−	1.76561i
$924$	0.965108	+	1.54952i	0.0317497	+	0.0509753i
$925$	3.22884	−	7.70278i	0.106163	−	0.253266i
$926$	4.31112	+	8.40472i	0.141672	+	0.276196i
$927$	12.7461	+	3.41530i	0.418635	+	0.112173i
$928$	−0.394935	−	29.1702i	−0.0129644	−	0.957560i
$929$	44.9633	+	25.9596i	1.47520	+	0.851706i	0.999609	−	0.0279615i	$-0.00890157\pi$
$929$	44.9633	+	25.9596i	1.47520	+	0.851706i	0.475589	+	0.879668i	$0.342235\pi$
$930$	1.54508	+	0.615362i	0.0506650	+	0.0201785i
$931$	9.39433	−	35.5875i	0.307887	−	1.16633i
$932$	−11.1165	+	29.4349i	−0.364133	+	0.964172i
$933$	−1.29002	+	0.345661i	−0.0422335	+	0.0113164i
$934$	−15.5771	−	0.774075i	−0.509699	−	0.0253285i
$935$	−12.2711	−	0.830356i	−0.401307	−	0.0271556i
$936$	−30.5184	+	38.3194i	−0.997526	+	1.25251i
$937$	−18.6851	−	18.6851i	−0.610416	−	0.610416i	0.332638	−	0.943055i	$-0.392061\pi$
$937$	−18.6851	−	18.6851i	−0.610416	−	0.610416i	−0.943055	+	0.332638i	$0.892061\pi$
$938$	2.57200	+	7.15914i	0.0839787	+	0.233754i
$939$			0.642846i			0.0209785i
$940$	27.0237	−	32.7115i	0.881417	−	1.06693i
$941$	−47.6790	+	27.5275i	−1.55429	+	0.897370i	−0.556506	+	0.830844i	$0.687858\pi$
$941$	−47.6790	+	27.5275i	−1.55429	+	0.897370i	−0.997785	+	0.0665261i	$0.978808\pi$
$942$	6.02764	+	6.65803i	0.196391	+	0.216930i
$943$	15.2240	−	4.07925i	0.495761	−	0.132839i
$944$	3.02843	+	2.66799i	0.0985671	+	0.0868358i
$945$	12.5743	+	2.50460i	0.409043	+	0.0814747i
$946$	11.1121	+	7.17356i	0.361284	+	0.233232i
$947$	−3.47532	+	0.931210i	−0.112933	+	0.0302603i	−0.314843	−	0.949144i	$-0.601952\pi$
$947$	−3.47532	+	0.931210i	−0.112933	+	0.0302603i	0.201910	+	0.979404i	$0.435285\pi$
$948$	−2.95368	+	0.484227i	−0.0959310	+	0.0157270i
$949$	10.0413	+	17.3921i	0.325955	+	0.564570i
$950$	2.86070	+	37.0700i	0.0928134	+	1.20271i
$951$		−	0.527676i		−	0.0171111i
$952$	−12.1024	+	42.4063i	−0.392242	+	1.37440i
$953$	−9.00314	+	9.00314i	−0.291640	+	0.291640i	−0.837728	−	0.546088i	$-0.816117\pi$
$953$	−9.00314	+	9.00314i	−0.291640	+	0.291640i	0.546088	+	0.837728i	$0.316117\pi$
$954$	28.6890	−	14.7157i	0.928840	−	0.476440i
$955$	32.1850	+	36.8569i	1.04148	+	1.19266i
$956$	−22.3708	−	16.0689i	−0.723522	−	0.519707i
$957$	0.460472	+	1.71850i	0.0148849	+	0.0555513i
$958$	2.86622	+	13.3072i	0.0926035	+	0.429938i
$959$	1.92112	+	2.49406i	0.0620360	+	0.0805373i
$960$	−5.13408	+	4.16635i	−0.165702	+	0.134468i
$961$	−14.4877	+	25.0934i	−0.467345	+	0.809466i
$962$	−10.5929	+	9.58991i	−0.341527	+	0.309191i
$963$	34.8042	+	9.32575i	1.12155	+	0.300518i
$964$	0.181091	−	1.81759i	0.00583254	−	0.0585407i
$965$	40.8207	+	27.4006i	1.31407	+	0.882057i
$966$	−2.92424	+	2.02948i	−0.0940858	+	0.0652973i
$967$	−4.36956	+	4.36956i	−0.140516	+	0.140516i	−0.773866	−	0.633350i	$-0.781679\pi$
$967$	−4.36956	+	4.36956i	−0.140516	+	0.140516i	0.633350	+	0.773866i	$0.281679\pi$
$968$	28.4665	−	3.22594i	0.914947	−	0.103685i
$969$	9.91856	−	5.72648i	0.318630	−	0.183961i
$970$	−2.84324	−	19.5280i	−0.0912911	−	0.627007i
$971$	9.24578	−	16.0142i	0.296711	−	0.513919i	−0.678670	−	0.734443i	$-0.737443\pi$
$971$	9.24578	−	16.0142i	0.296711	−	0.513919i	0.975382	+	0.220524i	$0.0707768\pi$
$972$	−6.62847	+	17.5512i	−0.212608	+	0.562956i
$973$	−15.2097	−	11.6260i	−0.487600	−	0.372714i
$974$	39.1567	+	25.2782i	1.25466	+	0.809965i
$975$	1.50594	−	11.0765i	0.0482288	−	0.354732i
$976$	2.59474	−	12.8923i	0.0830556	−	0.412674i
$977$	1.57145	−	5.86472i	0.0502750	−	0.187629i	−0.936222	−	0.351410i	$-0.885702\pi$
$977$	1.57145	−	5.86472i	0.0502750	−	0.187629i	0.986497	+	0.163781i	$0.0523690\pi$
$978$	3.88072	−	12.0546i	0.124092	−	0.385463i
$979$		−	11.1446i		−	0.356182i
$980$	19.8484	−	24.2083i	0.634035	−	0.773305i
$981$			12.3221i			0.393414i
$982$	−39.1507	−	12.6038i	−1.24935	−	0.402202i
$983$	−7.68312	+	28.6738i	−0.245054	+	0.914552i	0.728303	+	0.685255i	$0.240309\pi$
$983$	−7.68312	+	28.6738i	−0.245054	+	0.914552i	−0.973357	+	0.229297i	$0.926357\pi$
$984$	2.34271	+	5.95786i	0.0746828	+	0.189930i
$985$	2.43478	−	1.19431i	0.0775785	−	0.0380537i
$986$	−23.3105	+	36.1087i	−0.742358	+	1.14994i
$987$	7.37130	+	5.63451i	0.234631	+	0.179349i
$988$	22.4734	−	59.5063i	0.714973	−	1.89315i
$989$	−12.8949	+	22.3346i	−0.410034	+	0.710200i
$990$	−5.05268	+	6.77473i	−0.160585	+	0.215315i
$991$	−44.4018	+	25.6354i	−1.41047	+	0.814336i	−0.995432	−	0.0954681i	$-0.969565\pi$
$991$	−44.4018	+	25.6354i	−1.41047	+	0.814336i	−0.415038	+	0.909804i	$0.636232\pi$
$992$	4.11852	+	6.91555i	0.130763	+	0.219569i
$993$	2.35610	−	2.35610i	0.0747685	−	0.0747685i
$994$	−26.7555	−	38.5515i	−0.848633	−	1.22278i
$995$	−4.27423	−	21.7281i	−0.135502	−	0.688826i
$996$	−9.58804	−	0.955277i	−0.303809	−	0.0302691i
$997$	−4.03325	−	1.08071i	−0.127734	−	0.0342263i	0.194385	−	0.980925i	$-0.437729\pi$
$997$	−4.03325	−	1.08071i	−0.127734	−	0.0342263i	−0.322120	+	0.946699i	$0.604395\pi$
$998$	−2.22868	−	2.46177i	−0.0705478	−	0.0779259i
$999$	−1.81008	+	3.13515i	−0.0572684	+	0.0991917i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.40	yes	176
5.3	odd	4	inner	280.2.br.a.163.26	yes	176
7.4	even	3	inner	280.2.br.a.67.11	✓	176
8.3	odd	2	inner	280.2.br.a.107.34	yes	176
35.18	odd	12	inner	280.2.br.a.123.34	yes	176
40.3	even	4	inner	280.2.br.a.163.11	yes	176
56.11	odd	6	inner	280.2.br.a.67.26	yes	176
280.123	even	12	inner	280.2.br.a.123.40	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.11	✓	176	7.4	even	3	inner
280.2.br.a.67.26	yes	176	56.11	odd	6	inner
280.2.br.a.107.34	yes	176	8.3	odd	2	inner
280.2.br.a.107.40	yes	176	1.1	even	1	trivial
280.2.br.a.123.34	yes	176	35.18	odd	12	inner
280.2.br.a.123.40	yes	176	280.123	even	12	inner
280.2.br.a.163.11	yes	176	40.3	even	4	inner
280.2.br.a.163.26	yes	176	5.3	odd	4	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.34618 + 0.433373i) q^{2} +(0.357022 + 0.0956638i) q^{3} +(1.62438 + 1.16679i) q^{4} +(2.11588 + 0.723237i) q^{5} +(0.439157 + 0.283504i) q^{6} +(-1.60674 + 2.10200i) q^{7} +(1.68104 + 2.27467i) q^{8} +(-2.47976 - 1.43169i) q^{9} +O(q^{10})\)	\(q+(1.34618 + 0.433373i) q^{2} +(0.357022 + 0.0956638i) q^{3} +(1.62438 + 1.16679i) q^{4} +(2.11588 + 0.723237i) q^{5} +(0.439157 + 0.283504i) q^{6} +(-1.60674 + 2.10200i) q^{7} +(1.68104 + 2.27467i) q^{8} +(-2.47976 - 1.43169i) q^{9} +(2.53491 + 1.89057i) q^{10} +(-0.466681 - 0.808315i) q^{11} +(0.468319 + 0.571965i) q^{12} +(-4.27704 - 4.27704i) q^{13} +(-3.07390 + 2.13334i) q^{14} +(0.686227 + 0.460624i) q^{15} +(1.27720 + 3.79062i) q^{16} +(1.52523 - 5.69224i) q^{17} +(-2.71774 - 3.00197i) q^{18} +(4.55363 + 2.62904i) q^{19} +(2.59311 + 3.64359i) q^{20} +(-0.774726 + 0.596754i) q^{21} +(-0.277933 - 1.29038i) q^{22} +(2.48608 - 0.666144i) q^{23} +(0.382565 + 0.972921i) q^{24} +(3.95386 + 3.06056i) q^{25} +(-3.90410 - 7.61121i) q^{26} +(-1.53244 - 1.53244i) q^{27} +(-5.06254 + 1.53971i) q^{28} -5.15709 q^{29} +(0.724160 + 0.917473i) q^{30} +(1.23225 - 0.711441i) q^{31} +(0.0765810 + 5.65634i) q^{32} +(-0.0892890 - 0.333231i) q^{33} +(4.52009 - 7.00176i) q^{34} +(-4.91990 + 3.28552i) q^{35} +(-2.35758 - 5.21897i) q^{36} +(-0.432338 - 1.61351i) q^{37} +(4.99063 + 5.51257i) q^{38} +(-1.11784 - 1.93616i) q^{39} +(1.91175 + 6.02870i) q^{40} +6.12368 q^{41} +(-1.30153 + 0.467590i) q^{42} +(-7.08536 + 7.08536i) q^{43} +(0.185070 - 1.85753i) q^{44} +(-4.21142 - 4.82274i) q^{45} +(3.63539 + 0.180654i) q^{46} +(-2.45559 - 9.16440i) q^{47} +(0.0933627 + 1.47552i) q^{48} +(-1.83680 - 6.75472i) q^{49} +(3.99622 + 5.83354i) q^{50} +(1.08908 - 1.88635i) q^{51} +(-1.95711 - 11.9379i) q^{52} +(-2.06081 + 7.69103i) q^{53} +(-1.39882 - 2.72706i) q^{54} +(-0.402835 - 2.04782i) q^{55} +(-7.48233 - 0.121246i) q^{56} +(1.37424 + 1.37424i) q^{57} +(-6.94235 - 2.23494i) q^{58} +(0.873827 - 0.504505i) q^{59} +(0.577238 + 1.54891i) q^{60} +(-2.84724 - 1.64386i) q^{61} +(1.96715 - 0.423700i) q^{62} +(6.99374 - 2.91211i) q^{63} +(-2.34821 + 7.64761i) q^{64} +(-5.95638 - 12.1430i) q^{65} +(0.0242146 - 0.487283i) q^{66} +(0.526202 - 1.96381i) q^{67} +(9.11920 - 7.46671i) q^{68} +0.951312 q^{69} +(-8.04690 + 2.29073i) q^{70} +12.5416i q^{71} +(-0.911960 - 8.04736i) q^{72} +(-3.20705 - 0.859326i) q^{73} +(0.117247 - 2.35943i) q^{74} +(1.11883 + 1.47093i) q^{75} +(4.32927 + 9.58369i) q^{76} +(2.44891 + 0.317787i) q^{77} +(-0.665733 - 3.09085i) q^{78} +(-2.02447 + 3.50648i) q^{79} +(-0.0391258 + 8.94419i) q^{80} +(3.89456 + 6.74557i) q^{81} +(8.24355 + 2.65384i) q^{82} +(-9.21676 + 9.21676i) q^{83} +(-1.95473 + 0.0654091i) q^{84} +(7.34403 - 10.9410i) q^{85} +(-12.6087 + 6.46753i) q^{86} +(-1.84120 - 0.493347i) q^{87} +(1.05414 - 2.42035i) q^{88} +(10.3405 + 5.97011i) q^{89} +(-3.57926 - 8.31736i) q^{90} +(15.8624 - 2.11826i) q^{91} +(4.81558 + 1.81867i) q^{92} +(0.508001 - 0.136118i) q^{93} +(0.665941 - 13.4011i) q^{94} +(7.73350 + 8.85608i) q^{95} +(-0.513766 + 2.02676i) q^{96} +(-4.41264 - 4.41264i) q^{97} +(0.454660 - 9.88905i) q^{98} +2.67257i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

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