LMFDB - Embedded newform 152.2.t.a.101.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [152,2,Mod(5,152)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(152, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 16]))

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

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

chi := DirichletCharacter("152.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 152 = 2^{3} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	152.t (of order $18$, 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:	$1.21372611072$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$18$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.13
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.717434 + 1.21872i) q^{2} +(-1.08818 + 2.98974i) q^{3} +(-0.970576 + 1.74871i) q^{4} +(3.40808 - 0.600936i) q^{5} +(-4.42437 + 0.818756i) q^{6} +(1.17193 - 2.02985i) q^{7} +(-2.82752 + 0.0717186i) q^{8} +(-5.45631 - 4.57839i) q^{9} +O(q^{10})$	\(q+(0.717434 + 1.21872i) q^{2} +(-1.08818 + 2.98974i) q^{3} +(-0.970576 + 1.74871i) q^{4} +(3.40808 - 0.600936i) q^{5} +(-4.42437 + 0.818756i) q^{6} +(1.17193 - 2.02985i) q^{7} +(-2.82752 + 0.0717186i) q^{8} +(-5.45631 - 4.57839i) q^{9} +(3.17745 + 3.72237i) q^{10} +(1.02572 - 0.592202i) q^{11} +(-4.17203 - 4.80468i) q^{12} +(-0.845759 - 2.32370i) q^{13} +(3.31461 - 0.0280191i) q^{14} +(-1.91195 + 10.8432i) q^{15} +(-2.11596 - 3.39451i) q^{16} +(1.96664 - 1.65021i) q^{17} +(1.66525 - 9.93442i) q^{18} +(-2.52090 + 3.55599i) q^{19} +(-2.25694 + 6.54299i) q^{20} +(4.79345 + 5.71261i) q^{21} +(1.45762 + 0.825208i) q^{22} +(0.0208965 - 0.118510i) q^{23} +(2.86242 - 8.53160i) q^{24} +(6.55540 - 2.38597i) q^{25} +(2.22518 - 2.69785i) q^{26} +(11.3595 - 6.55844i) q^{27} +(2.41216 + 4.01949i) q^{28} +(-3.07076 + 3.65959i) q^{29} +(-14.5866 + 5.44915i) q^{30} +(0.669081 - 1.15888i) q^{31} +(2.61891 - 5.01411i) q^{32} +(0.654362 + 3.71107i) q^{33} +(3.42208 + 1.21288i) q^{34} +(2.77423 - 7.62213i) q^{35} +(13.3020 - 5.09782i) q^{36} +3.90798i q^{37} +(-6.14235 - 0.521095i) q^{38} +7.86762 q^{39} +(-9.59330 + 1.94358i) q^{40} +(-1.30336 - 0.474384i) q^{41} +(-3.52311 + 9.94032i) q^{42} +(-9.95798 + 1.75586i) q^{43} +(0.0400453 + 2.36847i) q^{44} +(-21.3468 - 12.3246i) q^{45} +(0.159423 - 0.0595561i) q^{46} +(-2.76097 - 2.31673i) q^{47} +(12.4513 - 2.63236i) q^{48} +(0.753150 + 1.30449i) q^{49} +(7.61091 + 6.27744i) q^{50} +(2.79364 + 7.67546i) q^{51} +(4.88435 + 0.776346i) q^{52} +(-5.70289 - 1.00557i) q^{53} +(16.1427 + 9.13891i) q^{54} +(3.13987 - 2.63466i) q^{55} +(-3.16808 + 5.82347i) q^{56} +(-7.88831 - 11.4064i) q^{57} +(-6.66309 - 1.11689i) q^{58} +(-5.32540 - 6.34656i) q^{59} +(-17.1059 - 13.8676i) q^{60} +(11.6780 + 2.05914i) q^{61} +(1.89238 - 0.0159967i) q^{62} +(-15.6878 + 5.70991i) q^{63} +(7.98971 - 0.405571i) q^{64} +(-4.27881 - 7.41111i) q^{65} +(-4.05331 + 3.45994i) q^{66} +(7.80137 - 9.29731i) q^{67} +(0.976956 + 5.04073i) q^{68} +(0.331576 + 0.191435i) q^{69} +(11.2796 - 2.08736i) q^{70} +(0.0402554 + 0.228300i) q^{71} +(15.7562 + 12.5541i) q^{72} +(2.45049 + 0.891907i) q^{73} +(-4.76275 + 2.80372i) q^{74} +22.1953i q^{75} +(-3.77166 - 7.85968i) q^{76} -2.77608i q^{77} +(5.64450 + 9.58845i) q^{78} +(15.4218 + 5.61308i) q^{79} +(-9.25125 - 10.2972i) q^{80} +(3.53631 + 20.0554i) q^{81} +(-0.356931 - 1.92877i) q^{82} +(-6.76703 - 3.90695i) q^{83} +(-14.6421 + 2.83782i) q^{84} +(5.71078 - 6.80585i) q^{85} +(-9.28411 - 10.8763i) q^{86} +(-7.59970 - 13.1631i) q^{87} +(-2.85778 + 1.74802i) q^{88} +(-6.23789 + 2.27041i) q^{89} +(-0.294663 - 34.8580i) q^{90} +(-5.70793 - 1.00646i) q^{91} +(0.186958 + 0.151565i) q^{92} +(2.73668 + 3.26145i) q^{93} +(0.842639 - 5.02696i) q^{94} +(-6.45450 + 13.6340i) q^{95} +(12.1411 + 13.2861i) q^{96} +(-12.0408 + 10.1034i) q^{97} +(-1.04948 + 1.85377i) q^{98} +(-8.30799 - 1.46492i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/152\mathbb{Z}\right)^\times$.

$n$	$39$	$77$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{9}\right)$

Coefficient data

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

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

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

$2$	0.717434	+	1.21872i	0.507303	+	0.861768i
$2$	0.717434	+	1.21872i	0.507303	+	0.861768i
$3$	−1.08818	+	2.98974i	−0.628260	+	1.72613i	0.0575435	+	0.998343i	$0.481673\pi$
$3$	−1.08818	+	2.98974i	−0.628260	+	1.72613i	−0.685803	+	0.727787i	$0.740549\pi$
$4$	−0.970576	+	1.74871i	−0.485288	+	0.874354i
$5$	3.40808	−	0.600936i	1.52414	−	0.268747i	0.652080	−	0.758150i	$-0.273896\pi$
$5$	3.40808	−	0.600936i	1.52414	−	0.268747i	0.872058	+	0.489403i	$0.162785\pi$
$6$	−4.42437	+	0.818756i	−1.80624	+	0.334256i
$7$	1.17193	−	2.02985i	0.442949	−	0.767210i	−0.554958	−	0.831878i	$-0.687266\pi$
$7$	1.17193	−	2.02985i	0.442949	−	0.767210i	0.997907	+	0.0646686i	$0.0205990\pi$
$8$	−2.82752	+	0.0717186i	−0.999678	+	0.0253564i
$9$	−5.45631	−	4.57839i	−1.81877	−	1.52613i
$10$	3.17745	+	3.72237i	1.00480	+	1.17712i
$11$	1.02572	−	0.592202i	0.309267	−	0.178556i	−0.337331	−	0.941386i	$-0.609524\pi$
$11$	1.02572	−	0.592202i	0.309267	−	0.178556i	0.646599	+	0.762830i	$0.276191\pi$
$12$	−4.17203	−	4.80468i	−1.20436	−	1.38699i
$13$	−0.845759	−	2.32370i	−0.234571	−	0.644479i	−1.00000		0.000958068i	$-0.999695\pi$
$13$	−0.845759	−	2.32370i	−0.234571	−	0.644479i	0.765428	−	0.643521i	$-0.222527\pi$
$14$	3.31461	−	0.0280191i	0.885866	−	0.00748843i
$15$	−1.91195	+	10.8432i	−0.493663	+	2.79970i
$16$	−2.11596	−	3.39451i	−0.528991	−	0.848628i
$17$	1.96664	−	1.65021i	0.476980	−	0.400234i	−0.372353	−	0.928091i	$-0.621449\pi$
$17$	1.96664	−	1.65021i	0.476980	−	0.400234i	0.849333	+	0.527858i	$0.177005\pi$
$18$	1.66525	−	9.93442i	0.392502	−	2.34157i
$19$	−2.52090	+	3.55599i	−0.578334	+	0.815800i
$19$	−2.52090	+	3.55599i	−0.578334	+	0.815800i
$20$	−2.25694	+	6.54299i	−0.504666	+	1.46306i
$21$	4.79345	+	5.71261i	1.04602	+	1.24659i
$22$	1.45762	+	0.825208i	0.310766	+	0.175935i
$23$	0.0208965	−	0.118510i	0.00435722	−	0.0247110i	−0.982552	−	0.185990i	$-0.940451\pi$
$23$	0.0208965	−	0.118510i	0.00435722	−	0.0247110i	0.986909	+	0.161279i	$0.0515619\pi$
$24$	2.86242	−	8.53160i	0.584289	−	1.74151i
$25$	6.55540	−	2.38597i	1.31108	−	0.477194i
$26$	2.22518	−	2.69785i	0.436393	−	0.529092i
$27$	11.3595	−	6.55844i	2.18615	−	1.26217i
$28$	2.41216	+	4.01949i	0.455855	+	0.759612i
$29$	−3.07076	+	3.65959i	−0.570225	+	0.679568i	−0.971677	−	0.236312i	$-0.924061\pi$
$29$	−3.07076	+	3.65959i	−0.570225	+	0.679568i	0.401452	+	0.915880i	$0.368506\pi$
$30$	−14.5866	+	5.44915i	−2.66313	+	0.994873i
$31$	0.669081	−	1.15888i	0.120170	−	0.208141i	−0.799664	−	0.600447i	$-0.794989\pi$
$31$	0.669081	−	1.15888i	0.120170	−	0.208141i	0.919835	+	0.392306i	$0.128323\pi$
$32$	2.61891	−	5.01411i	0.462962	−	0.886378i
$33$	0.654362	+	3.71107i	0.113910	+	0.646015i
$34$	3.42208	+	1.21288i	0.586882	+	0.208006i
$35$	2.77423	−	7.62213i	0.468930	−	1.28837i
$36$	13.3020	−	5.09782i	2.21700	−	0.849637i
$37$			3.90798i			0.642469i	0.947000	+	0.321234i	$0.104098\pi$
$37$			3.90798i			0.642469i	−0.947000	+	0.321234i	$0.895902\pi$
$38$	−6.14235	−	0.521095i	−0.996421	−	0.0845328i
$39$	7.86762			1.25983
$40$	−9.59330	+	1.94358i	−1.51683	+	0.307307i
$41$	−1.30336	−	0.474384i	−0.203551	−	0.0740863i	0.238233	−	0.971208i	$-0.423432\pi$
$41$	−1.30336	−	0.474384i	−0.203551	−	0.0740863i	−0.441783	+	0.897122i	$0.645654\pi$
$42$	−3.52311	+	9.94032i	−0.543628	+	1.53382i
$43$	−9.95798	+	1.75586i	−1.51858	+	0.267766i	−0.869874	−	0.493274i	$-0.835800\pi$
$43$	−9.95798	+	1.75586i	−1.51858	+	0.267766i	−0.648704	+	0.761041i	$0.724689\pi$
$44$	0.0400453	+	2.36847i	0.00603705	+	0.357060i
$45$	−21.3468	−	12.3246i	−3.18220	−	1.83724i
$46$	0.159423	−	0.0595561i	0.0235056	−	0.00878106i
$47$	−2.76097	−	2.31673i	−0.402729	−	0.337930i	0.418818	−	0.908070i	$-0.362444\pi$
$47$	−2.76097	−	2.31673i	−0.402729	−	0.337930i	−0.821547	+	0.570140i	$0.806889\pi$
$48$	12.4513	−	2.63236i	1.79719	−	0.379948i
$49$	0.753150	+	1.30449i	0.107593	+	0.186356i
$50$	7.61091	+	6.27744i	1.07634	+	0.887765i
$51$	2.79364	+	7.67546i	0.391188	+	1.07478i
$52$	4.88435	+	0.776346i	0.677338	+	0.107660i
$53$	−5.70289	−	1.00557i	−0.783352	−	0.138126i	−0.232352	−	0.972632i	$-0.574642\pi$
$53$	−5.70289	−	1.00557i	−0.783352	−	0.138126i	−0.550999	+	0.834506i	$0.685753\pi$
$54$	16.1427	+	9.13891i	2.19674	+	1.24365i
$55$	3.13987	−	2.63466i	0.423380	−	0.355258i
$56$	−3.16808	+	5.82347i	−0.423353	+	0.778195i
$57$	−7.88831	−	11.4064i	−1.04483	−	1.51081i
$58$	−6.66309	−	1.11689i	−0.874907	−	0.146655i
$59$	−5.32540	−	6.34656i	−0.693308	−	0.826252i	0.298444	−	0.954427i	$-0.403532\pi$
$59$	−5.32540	−	6.34656i	−0.693308	−	0.826252i	−0.991752	+	0.128175i	$0.959088\pi$
$60$	−17.1059	−	13.8676i	−2.20836	−	1.79030i
$61$	11.6780	+	2.05914i	1.49521	+	0.263646i	0.860638	−	0.509218i	$-0.170065\pi$
$61$	11.6780	+	2.05914i	1.49521	+	0.263646i	0.634572	+	0.772864i	$0.281176\pi$
$62$	1.89238	−	0.0159967i	0.240332	−	0.00203158i
$63$	−15.6878	+	5.70991i	−1.97648	+	0.719381i
$64$	7.98971	−	0.405571i	0.998714	−	0.0506964i
$65$	−4.27881	−	7.41111i	−0.530721	−	0.919235i
$66$	−4.05331	+	3.45994i	−0.498928	+	0.425889i
$67$	7.80137	−	9.29731i	0.953089	−	1.13585i	−0.0375441	−	0.999295i	$-0.511953\pi$
$67$	7.80137	−	9.29731i	0.953089	−	1.13585i	0.990633	−	0.136552i	$-0.0436021\pi$
$68$	0.976956	+	5.04073i	0.118473	+	0.611278i
$69$	0.331576	+	0.191435i	0.0399170	+	0.0230461i
$70$	11.2796	−	2.08736i	1.34817	−	0.249487i
$71$	0.0402554	+	0.228300i	0.00477743	+	0.0270942i	0.987103	−	0.160085i	$-0.0511767\pi$
$71$	0.0402554	+	0.228300i	0.00477743	+	0.0270942i	−0.982326	+	0.187179i	$0.940066\pi$
$72$	15.7562	+	12.5541i	1.85688	+	1.47952i
$73$	2.45049	+	0.891907i	0.286809	+	0.104390i	0.481418	−	0.876491i	$-0.340122\pi$
$73$	2.45049	+	0.891907i	0.286809	+	0.104390i	−0.194610	+	0.980881i	$0.562344\pi$
$74$	−4.76275	+	2.80372i	−0.553659	+	0.325926i
$75$			22.1953i			2.56290i
$76$	−3.77166	−	7.85968i	−0.432639	−	0.901567i
$77$		−	2.77608i		−	0.316364i
$78$	5.64450	+	9.58845i	0.639113	+	1.08568i
$79$	15.4218	+	5.61308i	1.73509	+	0.631520i	0.998972	−	0.0453351i	$-0.0144356\pi$
$79$	15.4218	+	5.61308i	1.73509	+	0.631520i	0.736116	+	0.676855i	$0.236658\pi$
$80$	−9.25125	−	10.2972i	−1.03432	−	1.15126i
$81$	3.53631	+	20.0554i	0.392923	+	2.22838i
$82$	−0.356931	−	1.92877i	−0.0394165	−	0.212998i
$83$	−6.76703	−	3.90695i	−0.742778	−	0.428843i	0.0803003	−	0.996771i	$-0.474412\pi$
$83$	−6.76703	−	3.90695i	−0.742778	−	0.428843i	−0.823079	+	0.567927i	$0.807745\pi$
$84$	−14.6421	+	2.83782i	−1.59758	+	0.309632i
$85$	5.71078	−	6.80585i	0.619422	−	0.738198i
$86$	−9.28411	−	10.8763i	−1.00113	−	1.17282i
$87$	−7.59970	−	13.1631i	−0.814773	−	1.41123i
$88$	−2.85778	+	1.74802i	−0.304640	+	0.186340i
$89$	−6.23789	+	2.27041i	−0.661215	+	0.240663i	−0.650761	−	0.759283i	$-0.725550\pi$
$89$	−6.23789	+	2.27041i	−0.661215	+	0.240663i	−0.0104541	+	0.999945i	$0.503328\pi$
$90$	−0.294663	−	34.8580i	−0.0310602	−	3.67435i
$91$	−5.70793	−	1.00646i	−0.598354	−	0.105506i
$92$	0.186958	+	0.151565i	0.0194917	+	0.0158017i
$93$	2.73668	+	3.26145i	0.283781	+	0.338197i
$94$	0.842639	−	5.02696i	0.0869116	−	0.518492i
$95$	−6.45450	+	13.6340i	−0.662218	+	1.39882i
$96$	12.1411	+	13.2861i	1.23914	+	1.35601i
$97$	−12.0408	+	10.1034i	−1.22256	+	1.02585i	−0.223872	+	0.974618i	$0.571870\pi$
$97$	−12.0408	+	10.1034i	−1.22256	+	1.02585i	−0.998687	+	0.0512304i	$0.983686\pi$
$98$	−1.04948	+	1.85377i	−0.106014	+	0.187259i
$99$	−8.30799	−	1.46492i	−0.834985	−	0.147230i
$100$	−2.19015	+	13.7792i	−0.219015	+	1.37792i
$101$	−1.06176	−	2.91717i	−0.105649	−	0.290269i	0.875592	−	0.483051i	$-0.160471\pi$
$101$	−1.06176	−	2.91717i	−0.105649	−	0.290269i	−0.981242	+	0.192782i	$0.938249\pi$
$102$	−7.35002	+	8.91131i	−0.727760	+	0.882352i
$103$	−1.35409	−	2.34535i	−0.133422	−	0.231094i	0.791571	−	0.611077i	$-0.209263\pi$
$103$	−1.35409	−	2.34535i	−0.133422	−	0.231094i	−0.924994	+	0.379982i	$0.875930\pi$
$104$	2.55805	+	6.50966i	0.250838	+	0.638324i
$105$	19.7694	+	16.5885i	1.92929	+	1.61887i
$106$	−2.86593	−	7.67168i	−0.278364	−	0.745139i
$107$	−7.31350	−	4.22245i	−0.707022	−	0.408199i	0.102935	−	0.994688i	$-0.467177\pi$
$107$	−7.31350	−	4.22245i	−0.707022	−	0.408199i	−0.809958	+	0.586489i	$0.800510\pi$
$108$	0.443488	+	26.2300i	0.0426747	+	2.52398i
$109$	16.2370	−	2.86302i	1.55522	−	0.274228i	0.671059	−	0.741404i	$-0.265840\pi$
$109$	16.2370	−	2.86302i	1.55522	−	0.274228i	0.884164	+	0.467176i	$0.154729\pi$
$110$	5.46358	+	1.93644i	0.520932	+	0.184632i
$111$	−11.6839	−	4.25258i	−1.10898	−	0.403637i
$112$	−9.37010	+	0.316944i	−0.885391	+	0.0299484i
$113$	10.6666			1.00343			0.501713	−	0.865034i	$-0.332703\pi$
$113$	10.6666			1.00343			0.501713	+	0.865034i	$0.332703\pi$
$114$	8.24191	−	17.7970i	0.771926	−	1.66684i
$115$		−	0.416449i		−	0.0388340i
$116$	−3.41914	−	8.92177i	−0.317460	−	0.828365i
$117$	−6.02409	+	16.5511i	−0.556927	+	1.53015i
$118$	3.91408	−	11.0434i	0.360321	−	1.01663i
$119$	−1.04490	−	5.92590i	−0.0957855	−	0.543226i
$120$	4.62841	−	30.7965i	0.422514	−	2.81132i
$121$	−4.79859	+	8.31141i	−0.436236	+	0.755583i
$122$	5.86865	+	15.7095i	0.531322	+	1.42227i
$123$	2.83657	−	3.38050i	0.255765	−	0.304809i
$124$	1.37715	+	2.29481i	0.123672	+	0.206080i
$125$	5.92242	−	3.41931i	0.529717	−	0.305833i
$126$	−18.2138	−	15.0227i	−1.62261	−	1.33833i
$127$	0.954443	−	0.347389i	0.0846931	−	0.0308258i	−0.299326	−	0.954151i	$-0.596762\pi$
$127$	0.954443	−	0.347389i	0.0846931	−	0.0308258i	0.384019	+	0.923325i	$0.374540\pi$
$128$	6.22637	+	9.44628i	0.550339	+	0.834941i
$129$	5.58648	−	31.6825i	0.491862	−	2.78949i
$130$	5.96234	−	10.5317i	0.522932	−	0.923689i
$131$	6.00242	+	7.15340i	0.524434	+	0.624996i	0.961623	−	0.274374i	$-0.0884705\pi$
$131$	6.00242	+	7.15340i	0.524434	+	0.624996i	−0.437189	+	0.899369i	$0.644026\pi$
$132$	−7.12469	−	2.45759i	−0.620125	−	0.213906i
$133$	4.26378	+	9.28442i	0.369717	+	0.805061i
$134$	16.9278	+	2.83751i	1.46234	+	0.245123i
$135$	34.7730	−	29.1780i	2.99278	−	2.51124i
$136$	−5.44235	+	4.80703i	−0.466678	+	0.412199i
$137$	1.46134	−	8.28765i	0.124850	−	0.708062i	−0.856546	−	0.516070i	$-0.827394\pi$
$137$	1.46134	−	8.28765i	0.124850	−	0.708062i	0.981397	−	0.191992i	$-0.0614946\pi$
$138$	0.00457693	+	0.541441i	0.000389614	+	0.0460905i
$139$	2.44241	+	6.71045i	0.207162	+	0.569173i	0.999144	−	0.0413716i	$-0.0131727\pi$
$139$	2.44241	+	6.71045i	0.207162	+	0.569173i	−0.791982	+	0.610545i	$0.790951\pi$
$140$	10.6363	+	12.2492i	0.898930	+	1.03524i
$141$	9.93086	−	5.73359i	0.836329	−	0.482855i
$142$	−0.249354	+	0.212850i	−0.0209253	+	0.0178620i
$143$	−2.24362	−	1.88262i	−0.187621	−	0.157432i
$144$	−3.99603	+	28.2092i	−0.333003	+	2.35077i
$145$	−8.26620	+	14.3175i	−0.686470	+	1.18900i
$146$	0.671080	+	3.62636i	0.0555390	+	0.300120i
$147$	−4.71967	+	0.832204i	−0.389271	+	0.0686391i
$148$	−6.83393	−	3.79300i	−0.561745	−	0.311782i
$149$	2.34271	−	6.43654i	0.191922	−	0.527302i	−0.805987	−	0.591933i	$-0.798365\pi$
$149$	2.34271	−	6.43654i	0.191922	−	0.527302i	0.997909	+	0.0646312i	$0.0205871\pi$
$150$	−27.0500	+	15.9237i	−2.20862	+	1.30016i
$151$	−0.287736			−0.0234156			−0.0117078	−	0.999931i	$-0.503727\pi$
$151$	−0.287736			−0.0234156			−0.0117078	+	0.999931i	$0.503727\pi$
$152$	6.87286	−	10.2354i	0.557463	−	0.830202i
$153$	−18.2859			−1.47832
$154$	3.38328	−	1.99166i	0.272632	−	0.160492i
$155$	1.58386	−	4.35163i	0.127219	−	0.349532i
$156$	−7.63612	+	13.7582i	−0.611379	+	1.10153i
$157$	−23.4957	+	4.14292i	−1.87516	+	0.330641i	−0.990709	−	0.135996i	$-0.956577\pi$
$157$	−23.4957	+	4.14292i	−1.87516	+	0.330641i	−0.884449	+	0.466637i	$0.845466\pi$
$158$	4.22334	+	22.8219i	0.335991	+	1.81562i
$159$	9.21216	−	15.9559i	0.730572	−	1.26539i
$160$	5.91227	−	18.6623i	0.467406	−	1.47538i
$161$	−0.216068	−	0.181302i	−0.0170285	−	0.0142886i
$162$	−21.9049	+	18.6982i	−1.72102	+	1.46907i
$163$	−0.755554	+	0.436220i	−0.0591796	+	0.0341674i	−0.529298	−	0.848436i	$-0.677545\pi$
$163$	−0.755554	+	0.436220i	−0.0591796	+	0.0341674i	0.470118	+	0.882603i	$0.344211\pi$
$164$	2.09457	−	1.81877i	0.163558	−	0.142022i
$165$	4.46023	+	12.2544i	0.347229	+	0.954003i
$166$	−0.0934092	−	11.0501i	−0.00724996	−	0.857656i
$167$	−0.671499	+	3.80826i	−0.0519621	+	0.294692i	−0.999704	−	0.0243476i	$-0.992249\pi$
$167$	−0.671499	+	3.80826i	−0.0519621	+	0.294692i	0.947741	+	0.319039i	$0.103360\pi$
$168$	−13.9633	−	15.8087i	−1.07729	−	1.21967i
$169$	5.27429	−	4.42565i	0.405715	−	0.340435i
$170$	12.3916	+	2.07712i	0.950390	+	0.159308i
$171$	30.0355	−	7.86091i	2.29687	−	0.601139i
$172$	6.59449	−	19.1178i	0.502825	−	1.45772i
$173$	−6.35606	−	7.57485i	−0.483242	−	0.575905i	0.468243	−	0.883600i	$-0.344887\pi$
$173$	−6.35606	−	7.57485i	−0.483242	−	0.575905i	−0.951485	+	0.307694i	$0.900443\pi$
$174$	10.5899	−	18.7056i	0.802815	−	1.41807i
$175$	2.83933	−	16.1026i	0.214633	−	1.21725i
$176$	−4.18063	−	2.22875i	−0.315127	−	0.167999i
$177$	24.7696	−	9.01539i	1.86180	−	0.677638i
$178$	−7.24227	−	5.97340i	−0.542831	−	0.447725i
$179$	−11.1031	+	6.41038i	−0.829885	+	0.479135i	−0.853813	−	0.520579i	$-0.825716\pi$
$179$	−11.1031	+	6.41038i	−0.829885	+	0.479135i	0.0239280	+	0.999714i	$0.492383\pi$
$180$	42.2709	−	25.3674i	3.15068	−	1.89078i
$181$	−4.68072	+	5.57827i	−0.347915	+	0.414629i	−0.911416	−	0.411486i	$-0.865010\pi$
$181$	−4.68072	+	5.57827i	−0.347915	+	0.414629i	0.563501	+	0.826116i	$0.309454\pi$
$182$	−2.86847	−	7.67846i	−0.212625	−	0.569166i
$183$	−18.8640	+	32.6734i	−1.39447	+	2.41529i
$184$	−0.0505859	+	0.336588i	−0.00372924	+	0.0248136i
$185$	2.34845	+	13.3187i	0.172661	+	0.979211i
$186$	−2.01142	+	5.67514i	−0.147484	+	0.416121i
$187$	1.03997	−	2.85730i	0.0760503	−	0.208947i
$188$	6.73102	−	2.57957i	0.490910	−	0.188135i
$189$		−	30.7442i		−	2.23631i
$190$	−21.2467	+	1.91523i	−1.54140	+	0.138945i
$191$	−2.13801			−0.154701			−0.0773505	−	0.997004i	$-0.524646\pi$
$191$	−2.13801			−0.154701			−0.0773505	+	0.997004i	$0.524646\pi$
$192$	−7.48167	+	24.3285i	−0.539943	+	1.75576i
$193$	0.478232	+	0.174062i	0.0344239	+	0.0125293i	0.359175	−	0.933270i	$-0.383058\pi$
$193$	0.478232	+	0.174062i	0.0344239	+	0.0125293i	−0.324751	+	0.945800i	$0.605280\pi$
$194$	−20.9518	−	7.42587i	−1.50425	−	0.533147i
$195$	26.8134	−	4.72793i	1.92015	−	0.338574i
$196$	−3.01217	+	0.0509288i	−0.215155	+	0.00363777i
$197$	13.1963	+	7.61890i	0.940200	+	0.542824i	0.890023	−	0.455916i	$-0.150688\pi$
$197$	13.1963	+	7.61890i	0.940200	+	0.542824i	0.0501767	+	0.998740i	$0.484022\pi$
$198$	−4.17510	−	11.1761i	−0.296711	−	0.794253i
$199$	−6.25277	−	5.24670i	−0.443247	−	0.371929i	0.393676	−	0.919249i	$-0.371203\pi$
$199$	−6.25277	−	5.24670i	−0.443247	−	0.371929i	−0.836923	+	0.547321i	$0.815648\pi$
$200$	−18.3644	+	7.21652i	−1.29856	+	0.510285i
$201$	19.3073	+	33.4412i	1.36183	+	2.35876i
$202$	2.79348	−	3.38687i	0.196549	−	0.238300i
$203$	3.82968	+	10.5220i	0.268791	+	0.738496i
$204$	−16.1336	−	2.56436i	−1.12958	−	0.179541i
$205$	−4.72702	−	0.833502i	−0.330150	−	0.0582143i
$206$	1.88687	−	3.33290i	0.131464	−	0.232214i
$207$	−0.656602	+	0.550955i	−0.0456370	+	0.0382940i
$208$	−6.09824	+	7.78781i	−0.422837	+	0.539987i
$209$	−0.479885	+	5.14034i	−0.0331943	+	0.355565i
$210$	−6.03354	+	35.9945i	−0.416354	+	2.48386i
$211$	7.85780	+	9.36456i	0.540953	+	0.644683i	0.965401	−	0.260769i	$-0.0839762\pi$
$211$	7.85780	+	9.36456i	0.540953	+	0.644683i	−0.424448	+	0.905452i	$0.639532\pi$
$212$	7.29354	−	8.99670i	0.500923	−	0.617896i
$213$	−0.726362	−	0.128077i	−0.0497695	−	0.00877571i
$214$	−0.100952	−	11.9425i	−0.00690096	−	0.816370i
$215$	−32.8824	+	11.9682i	−2.24256	+	0.816225i
$216$	−31.6490	+	19.3588i	−2.15344	+	1.31720i
$217$	−1.56823	−	2.71626i	−0.106459	−	0.184392i
$218$	15.1382	+	17.7344i	1.02529	+	1.20112i
$219$	−5.33315	+	6.35580i	−0.360381	+	0.429485i
$220$	1.55978	+	8.04786i	0.105160	+	0.542586i
$221$	−5.49789	−	3.17421i	−0.369828	−	0.213520i
$222$	−3.19969	−	17.2904i	−0.214749	−	1.16045i
$223$	−2.61851	−	14.8503i	−0.175348	−	0.994449i	−0.937741	−	0.347334i	$-0.887087\pi$
$223$	−2.61851	−	14.8503i	−0.175348	−	0.994449i	0.762393	−	0.647114i	$-0.224024\pi$
$224$	−7.10870	−	11.1922i	−0.474970	−	0.747809i
$225$	−46.6922	−	16.9946i	−3.11281	−	1.13297i
$226$	7.65256	+	12.9996i	0.509041	+	0.864720i
$227$		−	1.30177i		−	0.0864018i	−0.999066	−	0.0432009i	$-0.986244\pi$
$227$		−	1.30177i		−	0.0864018i	0.999066	−	0.0432009i	$-0.0137555\pi$
$228$	27.6027	−	2.72357i	1.82803	−	0.180373i
$229$			22.1406i			1.46309i	0.681791	+	0.731547i	$0.261201\pi$
$229$			22.1406i			1.46309i	−0.681791	+	0.731547i	$0.738799\pi$
$230$	0.507536	−	0.298774i	0.0334659	−	0.0197006i
$231$	8.29977	+	3.02087i	0.546085	+	0.198759i
$232$	8.42016	−	10.5678i	0.552811	−	0.693808i
$233$	1.94319	+	11.0204i	0.127303	+	0.721969i	0.979914	+	0.199423i	$0.0639066\pi$
$233$	1.94319	+	11.0204i	0.127303	+	0.721969i	−0.852611	+	0.522546i	$0.824982\pi$
$234$	−24.4931	+	4.53259i	−1.60116	+	0.296304i
$235$	−10.8018	−	6.23643i	−0.704632	−	0.406820i
$236$	16.2670	−	3.15275i	1.05889	−	0.205226i
$237$	−33.5633	+	39.9992i	−2.18017	+	2.59823i
$238$	6.47239	−	5.52488i	0.419543	−	0.358125i
$239$	8.24981	+	14.2891i	0.533636	+	0.924284i	0.999228	+	0.0392847i	$0.0125079\pi$
$239$	8.24981	+	14.2891i	0.533636	+	0.924284i	−0.465592	+	0.884999i	$0.654159\pi$
$240$	40.8530	−	16.4537i	2.63705	−	1.06208i
$241$	−10.5909	+	3.85477i	−0.682219	+	0.248308i	−0.659800	−	0.751441i	$-0.729359\pi$
$241$	−10.5909	+	3.85477i	−0.682219	+	0.248308i	−0.0224191	+	0.999749i	$0.507137\pi$
$242$	−13.5720	+	0.114727i	−0.872440	+	0.00737494i
$243$	−25.0559	−	4.41803i	−1.60734	−	0.283417i
$244$	−14.9352	+	18.4228i	−0.956127	+	1.17940i
$245$	3.35071	+	3.99322i	0.214069	+	0.255118i
$246$	6.15495	+	1.03172i	0.392425	+	0.0657799i
$247$	10.3951	+	2.85032i	0.661427	+	0.181361i
$248$	−1.80872	+	3.32474i	−0.114854	+	0.211121i
$249$	19.0445	−	15.9802i	1.20690	−	1.01271i
$250$	8.41614	+	4.76467i	0.532284	+	0.301344i
$251$	−13.4927	−	2.37913i	−0.851652	−	0.150169i	−0.269250	−	0.963070i	$-0.586776\pi$
$251$	−13.4927	−	2.37913i	−0.851652	−	0.150169i	−0.582402	+	0.812901i	$0.697887\pi$
$252$	5.24128	−	32.9754i	0.330170	−	2.07725i
$253$	−0.0487478	−	0.133933i	−0.00306475	−	0.00842032i
$254$	1.10812	+	0.913974i	0.0695297	+	0.0573478i
$255$	14.1334	+	24.4798i	0.885068	+	1.53298i
$256$	−7.04540	+	14.3653i	−0.440337	+	0.897832i
$257$	−20.5932	−	17.2798i	−1.28457	−	1.07788i	−0.992597	−	0.121456i	$-0.961244\pi$
$257$	−20.5932	−	17.2798i	−1.28457	−	1.07788i	−0.291973	−	0.956427i	$-0.594312\pi$
$258$	42.6202	−	15.9217i	2.65342	−	0.991244i
$259$	7.93261	+	4.57989i	0.492908	+	0.284581i
$260$	17.1128	−	0.289337i	1.06129	−	0.0179439i
$261$	33.5100	−	5.90872i	2.07422	−	0.365740i
$262$	−4.41168	+	12.4474i	−0.272555	+	0.769002i
$263$	20.0379	+	7.29320i	1.23559	+	0.449718i	0.875509	−	0.483203i	$-0.160527\pi$
$263$	20.0379	+	7.29320i	1.23559	+	0.449718i	0.360082	+	0.932921i	$0.382749\pi$
$264$	−2.11637	−	10.4462i	−0.130254	−	0.642919i
$265$	−20.0402			−1.23106
$266$	−8.25616	+	11.8573i	−0.506218	+	0.727020i
$267$		−	21.1203i		−	1.29254i
$268$	8.68646	+	22.6661i	0.530610	+	1.38455i
$269$	7.83667	−	21.5311i	0.477810	−	1.31277i	−0.433538	−	0.901135i	$-0.642735\pi$
$269$	7.83667	−	21.5311i	0.477810	−	1.31277i	0.911348	−	0.411637i	$-0.135043\pi$
$270$	60.5073	+	21.4454i	3.68236	+	1.30513i
$271$	−0.102669	−	0.582266i	−0.00623671	−	0.0353702i	0.981531	−	0.191305i	$-0.0612720\pi$
$271$	−0.102669	−	0.582266i	−0.00623671	−	0.0353702i	−0.987767	+	0.155935i	$0.950161\pi$
$272$	−9.76297	−	3.18400i	−0.591967	−	0.193058i
$273$	9.22031	−	15.9700i	0.558039	−	0.966551i
$274$	11.1488	−	4.16488i	0.673522	−	0.251610i
$275$	5.31105	−	6.32946i	0.320268	−	0.381681i
$276$	−0.656584	+	0.394026i	−0.0395217	+	0.0237176i
$277$	13.5018	−	7.79524i	0.811242	−	0.468371i	−0.0361451	−	0.999347i	$-0.511508\pi$
$277$	13.5018	−	7.79524i	0.811242	−	0.468371i	0.847387	+	0.530976i	$0.178175\pi$
$278$	−6.42593	+	7.79093i	−0.385401	+	0.467269i
$279$	−8.95652	+	3.25991i	−0.536213	+	0.195165i
$280$	−7.29753	+	21.7507i	−0.436111	+	1.29985i
$281$	2.47035	−	14.0101i	0.147369	−	0.835770i	−0.818066	−	0.575125i	$-0.804954\pi$
$281$	2.47035	−	14.0101i	0.147369	−	0.835770i	0.965435	−	0.260646i	$-0.0839354\pi$
$282$	14.1124	+	7.98951i	0.840381	+	0.475768i
$283$	12.1407	+	14.4687i	0.721688	+	0.860074i	0.994794	−	0.101910i	$-0.0324954\pi$
$283$	12.1407	+	14.4687i	0.721688	+	0.860074i	−0.273106	+	0.961984i	$0.588051\pi$
$284$	−0.438300	−	0.151187i	−0.0260083	−	0.00897131i
$285$	−33.7385	−	34.1335i	−1.99849	−	2.02189i
$286$	0.684744	−	4.08500i	0.0404898	−	0.241551i
$287$	−2.49038	+	2.08967i	−0.147002	+	0.123350i
$288$	−37.2461	+	15.3682i	−2.19475	+	0.905579i
$289$	−1.80753	+	10.2510i	−0.106325	+	0.603001i
$290$	−23.3795	+	0.197632i	−1.37289	+	0.0116054i
$291$	−17.1042	−	46.9933i	−1.00266	−	2.75480i
$292$	−3.93808	+	3.41954i	−0.230458	+	0.200113i
$293$	0.612296	−	0.353509i	0.0357707	−	0.0206522i	−0.482008	−	0.876167i	$-0.660092\pi$
$293$	0.612296	−	0.353509i	0.0357707	−	0.0206522i	0.517779	+	0.855515i	$0.326759\pi$
$294$	−4.40028	−	5.15492i	−0.256629	−	0.300641i
$295$	−21.9632	−	18.4293i	−1.27875	−	1.07300i
$296$	−0.280275	−	11.0499i	−0.0162907	−	0.642262i
$297$	7.76784	−	13.4543i	0.450736	−	0.780697i
$298$	9.52511	−	1.76268i	0.551775	−	0.102109i
$299$	−0.293055	+	0.0516736i	−0.0169478	+	0.00298836i
$300$	−38.8132	−	21.5423i	−2.24088	−	1.24374i
$301$	−8.10595	+	22.2709i	−0.467219	+	1.28367i
$302$	−0.206432	−	0.350671i	−0.0118788	−	0.0201788i
$303$	9.87698			0.567418
$304$	17.4050	+	1.03288i	0.998244	+	0.0592400i
$305$	41.0368			2.34976
$306$	−13.1189	−	22.2854i	−0.749958	−	1.27397i
$307$	3.55256	−	9.76058i	0.202755	−	0.557066i	−0.796086	−	0.605183i	$-0.793100\pi$
$307$	3.55256	−	9.76058i	0.202755	−	0.557066i	0.998842	+	0.0481172i	$0.0153221\pi$
$308$	4.85456	+	2.69440i	0.276614	+	0.153528i
$309$	8.48549	−	1.49622i	0.482723	−	0.0851171i
$310$	6.43976	−	1.19172i	0.365754	−	0.0676849i
$311$	−5.15027	+	8.92053i	−0.292045	+	0.505837i	−0.974293	−	0.225284i	$-0.927669\pi$
$311$	−5.15027	+	8.92053i	−0.292045	+	0.505837i	0.682248	+	0.731121i	$0.261002\pi$
$312$	−22.2458	+	0.564255i	−1.25942	+	0.0319446i
$313$	−14.9966	−	12.5836i	−0.847657	−	0.711268i	0.111616	−	0.993751i	$-0.464397\pi$
$313$	−14.9966	−	12.5836i	−0.847657	−	0.711268i	−0.959272	+	0.282483i	$0.908842\pi$
$314$	−21.9057	−	25.6625i	−1.23621	−	1.44822i
$315$	−50.0341	+	28.8872i	−2.81910	+	1.62761i
$316$	−24.7837	+	21.5203i	−1.39419	+	1.21061i
$317$	−7.03006	−	19.3149i	−0.394848	−	1.08483i	−0.964760	−	0.263130i	$-0.915245\pi$
$317$	−7.03006	−	19.3149i	−0.394848	−	1.08483i	0.569913	−	0.821705i	$-0.306977\pi$
$318$	26.0550	−	0.220249i	1.46109	−	0.0123509i
$319$	−0.982535	+	5.57223i	−0.0550114	+	0.311985i
$320$	26.9858	−	6.18352i	1.50855	−	0.345669i
$321$	20.5824	−	17.2707i	1.14880	−	0.963957i
$322$	0.0659432	−	0.393400i	0.00367487	−	0.0219233i
$323$	0.910411	+	11.1533i	0.0506566	+	0.620589i
$324$	−38.5033	−	13.2813i	−2.13907	−	0.737852i
$325$	−11.0886	−	13.2148i	−0.615083	−	0.733028i
$326$	−1.07369	−	0.607853i	−0.0594663	−	0.0336659i
$327$	−9.10905	+	51.6600i	−0.503731	+	2.85680i
$328$	3.71929	+	1.24785i	0.205364	+	0.0689012i
$329$	−7.93828	+	2.88930i	−0.437651	+	0.159292i
$330$	−11.7348	+	14.2275i	−0.645979	+	0.783199i
$331$	−14.0886	+	8.13408i	−0.774381	+	0.447089i	−0.834435	−	0.551106i	$-0.814206\pi$
$331$	−14.0886	+	8.13408i	−0.774381	+	0.447089i	0.0600539	+	0.998195i	$0.480873\pi$
$332$	13.4000	−	8.04158i	0.735423	−	0.441339i
$333$	17.8923	−	21.3232i	0.980490	−	1.16850i
$334$	−5.12297	+	1.91380i	−0.280317	+	0.104719i
$335$	21.0006	−	36.3741i	1.14738	−	1.98733i
$336$	9.24875	−	28.3591i	0.504561	−	1.54712i
$337$	4.18998	+	23.7625i	0.228243	+	1.29443i	0.856388	+	0.516332i	$0.172703\pi$
$337$	4.18998	+	23.7625i	0.228243	+	1.29443i	−0.628146	+	0.778096i	$0.716186\pi$
$338$	9.17761	+	3.25279i	0.499196	+	0.176928i
$339$	−11.6071	+	31.8903i	−0.630412	+	1.73204i
$340$	6.35869	+	16.5921i	0.344849	+	0.899833i
$341$		−	1.58492i		−	0.0858284i
$342$	31.1288	+	30.9653i	1.68325	+	1.67441i
$343$	19.9376			1.07653
$344$	28.0304	−	5.67890i	1.51130	−	0.306186i
$345$	1.24507	+	0.453170i	0.0670326	+	0.0243979i
$346$	4.67160	−	13.1807i	0.251147	−	0.708601i
$347$	17.6057	−	3.10436i	0.945125	−	0.166651i	0.320212	−	0.947346i	$-0.396246\pi$
$347$	17.6057	−	3.10436i	0.945125	−	0.166651i	0.624912	+	0.780695i	$0.285135\pi$
$348$	30.3944	−	0.513899i	1.62931	−	0.0275479i
$349$	6.70607	+	3.87175i	0.358968	+	0.207250i	0.668628	−	0.743597i	$-0.266882\pi$
$349$	6.70607	+	3.87175i	0.358968	+	0.207250i	−0.309660	+	0.950847i	$0.600215\pi$
$350$	21.6617	−	8.09223i	1.15787	−	0.432548i
$351$	−24.8473	−	20.8494i	−1.32625	−	1.11286i
$352$	−0.283092	−	6.69401i	−0.0150889	−	0.356792i
$353$	−11.6236	−	20.1327i	−0.618663	−	1.07156i	−0.989730	−	0.142949i	$-0.954341\pi$
$353$	−11.6236	−	20.1327i	−0.618663	−	1.07156i	0.371067	−	0.928606i	$-0.378992\pi$
$354$	28.7578	+	23.7193i	1.52846	+	1.26067i
$355$	0.274387	+	0.753871i	0.0145629	+	0.0400113i
$356$	2.08407	−	13.1119i	0.110455	−	0.694927i
$357$	18.8540	+	3.32446i	0.997858	+	0.175949i
$358$	−15.7782	−	8.93260i	−0.833906	−	0.472102i
$359$	−18.7231	+	15.7105i	−0.988166	+	0.829170i	−0.985301	−	0.170826i	$-0.945356\pi$
$359$	−18.7231	+	15.7105i	−0.988166	+	0.829170i	−0.00286502	+	0.999996i	$0.500912\pi$
$360$	61.2424	+	33.3171i	3.22776	+	1.75596i
$361$	−6.29011	−	17.9286i	−0.331059	−	0.943610i
$362$	−10.1565	−	1.70247i	−0.533812	−	0.0894797i
$363$	−19.6273	−	23.3909i	−1.03016	−	1.22770i
$364$	7.29999	−	9.00466i	0.382624	−	0.471972i
$365$	8.88745	+	1.56710i	0.465190	+	0.0820256i
$366$	−53.3536	+	0.451010i	−2.78883	+	0.0235747i
$367$	26.9633	−	9.81385i	1.40748	−	0.512279i	0.477087	−	0.878856i	$-0.341693\pi$
$367$	26.9633	−	9.81385i	1.40748	−	0.512279i	0.930388	+	0.366577i	$0.119470\pi$
$368$	−0.446500	+	0.179829i	−0.0232754	+	0.00937425i
$369$	4.93962	+	8.55567i	0.257146	+	0.445390i
$370$	−14.5470	+	12.4174i	−0.756261	+	0.645550i
$371$	−8.72456	+	10.3975i	−0.452956	+	0.539812i
$372$	−8.35948	+	1.62017i	−0.433419	+	0.0840020i
$373$	−22.3795	−	12.9208i	−1.15877	−	0.669015i	−0.207760	−	0.978180i	$-0.566617\pi$
$373$	−22.3795	−	12.9208i	−1.15877	−	0.669015i	−0.951008	+	0.309165i	$0.899951\pi$
$374$	4.22837	−	0.782486i	0.218644	−	0.0404614i
$375$	3.77822	+	21.4273i	0.195106	+	1.10650i
$376$	7.97285	+	6.35258i	0.411168	+	0.327609i
$377$	11.1009	+	4.04040i	0.571726	+	0.208091i
$378$	37.4687	−	22.0569i	1.92718	−	1.13449i
$379$		−	20.9251i		−	1.07485i	−0.843312	−	0.537424i	$-0.819397\pi$
$379$		−	20.9251i		−	1.07485i	0.843312	−	0.537424i	$-0.180603\pi$
$380$	−17.5773	−	24.5199i	−0.901695	−	1.25784i
$381$			3.23156i			0.165558i
$382$	−1.53388	−	2.60564i	−0.0784802	−	0.133316i
$383$	34.1651	+	12.4351i	1.74576	+	0.635403i	0.999541	−	0.0303009i	$-0.00964656\pi$
$383$	34.1651	+	12.4351i	1.74576	+	0.635403i	0.746216	+	0.665704i	$0.231869\pi$
$384$	−35.0174	+	8.33603i	−1.78697	+	0.425396i
$385$	−1.66825	−	9.46110i	−0.0850217	−	0.482182i
$386$	0.130966	+	0.707711i	0.00666600	+	0.0360215i
$387$	62.3728	+	36.0110i	3.17059	+	1.83054i
$388$	−5.98145	−	30.8620i	−0.303662	−	1.56678i
$389$	−19.9960	+	23.8304i	−1.01384	+	1.20825i	−0.0359009	+	0.999355i	$0.511430\pi$
$389$	−19.9960	+	23.8304i	−1.01384	+	1.20825i	−0.977939	+	0.208892i	$0.933014\pi$
$390$	24.9989	+	29.2862i	1.26587	+	1.48296i
$391$	−0.154470	−	0.267550i	−0.00781188	−	0.0135306i
$392$	−2.22310	−	3.63447i	−0.112284	−	0.183568i
$393$	−27.9186	+	10.1615i	−1.40830	+	0.512581i
$394$	0.182157	+	21.5487i	0.00917691	+	1.08561i
$395$	55.9318	+	9.86228i	2.81423	+	0.496225i
$396$	10.6253	−	13.1064i	0.533940	−	0.658623i
$397$	−6.91611	−	8.24230i	−0.347110	−	0.413669i	0.564038	−	0.825749i	$-0.309247\pi$
$397$	−6.91611	−	8.24230i	−0.347110	−	0.413669i	−0.911148	+	0.412080i	$0.864803\pi$
$398$	1.90833	−	11.3846i	0.0956557	−	0.570657i
$399$	−32.3978	+	2.64453i	−1.62192	+	0.132392i
$400$	−21.9702	−	17.2037i	−1.09851	−	0.860187i
$401$	−11.3894	+	9.55687i	−0.568761	+	0.477247i	−0.881234	−	0.472679i	$-0.843287\pi$
$401$	−11.3894	+	9.55687i	−0.568761	+	0.477247i	0.312474	+	0.949926i	$0.398842\pi$
$402$	−26.9039	+	47.5221i	−1.34184	+	2.37019i
$403$	−3.25878	−	0.574611i	−0.162331	−	0.0286234i
$404$	6.13180	+	0.974622i	0.305069	+	0.0484893i
$405$	24.1040	+	66.2253i	1.19774	+	3.29076i
$406$	−10.0758	+	12.2161i	−0.500054	+	0.606276i
$407$	2.31432	+	4.00851i	0.114716	+	0.198695i
$408$	−8.44954	−	21.5021i	−0.418315	−	1.06452i
$409$	16.4247	+	13.7819i	0.812147	+	0.681473i	0.951119	−	0.308824i	$-0.0999353\pi$
$409$	16.4247	+	13.7819i	0.812147	+	0.681473i	−0.138972	+	0.990296i	$0.544380\pi$
$410$	−2.37552	−	6.35892i	−0.117319	−	0.314045i
$411$	23.1878	+	13.3875i	1.14377	+	0.660355i
$412$	5.41558	−	0.0915649i	0.266807	−	0.00451108i
$413$	−19.1235	+	3.37200i	−0.941008	+	0.165925i
$414$	−1.14253	−	0.404943i	−0.0561523	−	0.0199019i
$415$	−25.4104	−	9.24863i	−1.24735	−	0.453997i
$416$	−13.8663	−	1.84483i	−0.679850	−	0.0904503i
$417$	−22.7203			−1.11262
$418$	−6.60895	+	3.10301i	−0.323254	+	0.151773i
$419$			9.73679i			0.475673i	0.971305	+	0.237837i	$0.0764383\pi$
$419$			9.73679i			0.475673i	−0.971305	+	0.237837i	$0.923562\pi$
$420$	−48.1961	+	18.4705i	−2.35173	+	0.901267i
$421$	6.14630	−	16.8868i	0.299552	−	0.823014i	−0.695022	−	0.718988i	$-0.744605\pi$
$421$	6.14630	−	16.8868i	0.299552	−	0.823014i	0.994575	−	0.104025i	$-0.0331723\pi$
$422$	−5.77536	+	16.2949i	−0.281140	+	0.793226i
$423$	4.45783	+	25.2816i	0.216747	+	1.22923i
$424$	16.1971	+	2.43427i	0.786602	+	0.118219i
$425$	8.95475	−	15.5101i	0.434369	−	0.752350i
$426$	−0.365026	−	0.977122i	−0.0176856	−	0.0473417i
$427$	17.8655	−	21.2913i	0.864573	−	1.03036i
$428$	14.4821	−	8.69096i	0.700020	−	0.420094i
$429$	8.07000	−	4.65922i	0.389623	−	0.224949i
$430$	−38.1769	−	31.4882i	−1.84105	−	1.51849i
$431$	16.7993	−	6.11445i	0.809195	−	0.294523i	0.0959038	−	0.995391i	$-0.469426\pi$
$431$	16.7993	−	6.11445i	0.809195	−	0.294523i	0.713291	+	0.700868i	$0.247204\pi$
$432$	−46.2991	−	24.6827i	−2.22757	−	1.18755i
$433$	−3.99769	+	22.6720i	−0.192117	+	1.08955i	0.724348	+	0.689434i	$0.242141\pi$
$433$	−3.99769	+	22.6720i	−0.192117	+	1.08955i	−0.916465	+	0.400115i	$0.868970\pi$
$434$	2.18527	−	3.85998i	0.104896	−	0.185285i
$435$	−33.8105	−	40.2938i	−1.62109	−	1.93194i
$436$	−10.7527	+	31.1726i	−0.514959	+	1.49290i
$437$	0.368742	+	0.373060i	0.0176393	+	0.0178459i
$438$	−11.5721	−	1.93977i	−0.552938	−	0.0926857i
$439$	−14.2333	+	11.9431i	−0.679316	+	0.570014i	−0.915806	−	0.401620i	$-0.868447\pi$
$439$	−14.2333	+	11.9431i	−0.679316	+	0.570014i	0.236490	+	0.971634i	$0.424003\pi$
$440$	−8.68908	+	7.67474i	−0.414236	+	0.365879i
$441$	1.86306	−	10.5659i	0.0887171	−	0.503140i
$442$	−0.0758905	−	8.97769i	−0.00360974	−	0.427025i
$443$	−1.20190	−	3.30220i	−0.0571041	−	0.156892i	0.907860	−	0.419272i	$-0.137715\pi$
$443$	−1.20190	−	3.30220i	−0.0571041	−	0.156892i	−0.964965	+	0.262380i	$0.915493\pi$
$444$	18.7766	−	16.3042i	0.891099	−	0.773765i
$445$	−19.8948	+	11.4863i	−0.943106	+	0.544502i
$446$	16.2198	−	13.8453i	0.768029	−	0.655596i
$447$	16.6943	+	14.0082i	0.789615	+	0.662565i
$448$	8.54015	−	16.6932i	0.403484	−	0.788679i
$449$	−3.46809	+	6.00690i	−0.163669	+	0.283483i	−0.936182	−	0.351516i	$-0.885666\pi$
$449$	−3.46809	+	6.00690i	−0.163669	+	0.283483i	0.772513	+	0.634999i	$0.219000\pi$
$450$	−12.7869	−	69.0973i	−0.602779	−	3.25728i
$451$	−1.61782	+	0.285265i	−0.0761801	+	0.0134326i
$452$	−10.3527	+	18.6527i	−0.486951	+	0.877350i
$453$	0.313108	−	0.860257i	0.0147111	−	0.0404184i
$454$	1.58650	−	0.933937i	0.0744583	−	0.0438318i
$455$	−20.0579			−0.940328
$456$	23.1224	+	31.6861i	1.08280	+	1.48384i
$457$	7.39532			0.345938			0.172969	−	0.984927i	$-0.444664\pi$
$457$	7.39532			0.345938			0.172969	+	0.984927i	$0.444664\pi$
$458$	−26.9833	+	15.8844i	−1.26085	+	0.742231i
$459$	11.5174	−	31.6437i	0.537584	−	1.47700i
$460$	0.728247	+	0.404195i	0.0339547	+	0.0188457i
$461$	4.85592	−	0.856230i	0.226163	−	0.0398786i	−0.0594181	−	0.998233i	$-0.518925\pi$
$461$	4.85592	−	0.856230i	0.226163	−	0.0398786i	0.285581	+	0.958355i	$0.407813\pi$
$462$	2.27293	+	12.2824i	0.105746	+	0.571429i
$463$	11.7478	−	20.3477i	0.545965	−	0.945639i	−0.452581	−	0.891724i	$-0.649497\pi$
$463$	11.7478	−	20.3477i	0.545965	−	0.945639i	0.998546	−	0.0539155i	$-0.0171702\pi$
$464$	18.9201	+	2.68017i	0.878344	+	0.124424i
$465$	11.2867	+	9.47070i	0.523410	+	0.439193i
$466$	−12.0367	+	10.2746i	−0.557589	+	0.475962i
$467$	5.87837	−	3.39388i	0.272018	−	0.157050i	−0.357786	−	0.933804i	$-0.616468\pi$
$467$	5.87837	−	3.39388i	0.272018	−	0.157050i	0.629804	+	0.776754i	$0.283135\pi$
$468$	−23.0961	−	26.5984i	−1.06762	−	1.22951i
$469$	−9.72943	−	26.7314i	−0.449263	−	1.23434i
$470$	−0.149104	−	17.6387i	−0.00687764	−	0.813610i
$471$	13.1812	−	74.7543i	0.607357	−	3.44450i
$472$	15.5128	+	17.5631i	0.714035	+	0.808406i
$473$	−9.17431	+	7.69816i	−0.421835	+	0.353962i
$474$	−72.8275	−	12.2076i	−3.34508	−	0.560715i
$475$	−8.04103	+	29.3257i	−0.368948	+	1.34556i
$476$	11.3768	+	3.92432i	0.521456	+	0.179871i
$477$	26.5128	+	31.5967i	1.21394	+	1.44672i
$478$	−11.4958	+	20.3057i	−0.525804	+	0.928762i
$479$	5.59818	−	31.7488i	0.255787	−	1.45064i	−0.538257	−	0.842781i	$-0.680917\pi$
$479$	5.59818	−	31.7488i	0.255787	−	1.45064i	0.794044	−	0.607860i	$-0.207972\pi$
$480$	49.3618	+	37.9841i	2.25305	+	1.73373i
$481$	9.08100	−	3.30521i	0.414058	−	0.150705i
$482$	−12.2962	−	10.1418i	−0.560075	−	0.461948i
$483$	0.777168	−	0.448698i	0.0353624	−	0.0204165i
$484$	−9.87683	−	16.4582i	−0.448947	−	0.748100i
$485$	−34.9645	+	41.6690i	−1.58766	+	1.89209i
$486$	−12.5916	−	33.7059i	−0.571167	−	1.52893i
$487$	−9.72386	+	16.8422i	−0.440630	+	0.763194i	−0.997736	−	0.0672474i	$-0.978578\pi$
$487$	−9.72386	+	16.8422i	−0.440630	+	0.763194i	0.557106	+	0.830441i	$0.311912\pi$
$488$	−33.1673	−	4.98473i	−1.50141	−	0.225648i
$489$	−0.482007	−	2.73360i	−0.0217971	−	0.123618i
$490$	−2.46272	+	6.94846i	−0.111254	+	0.313900i
$491$	7.37036	−	20.2499i	0.332620	−	0.913865i	−0.654808	−	0.755795i	$-0.727251\pi$
$491$	7.37036	−	20.2499i	0.332620	−	0.913865i	0.987428	−	0.158070i	$-0.0505271\pi$
$492$	3.15839	+	8.24137i	0.142391	+	0.371550i
$493$			12.2645i			0.552363i
$494$	3.98408	+	14.7137i	0.179252	+	0.662001i
$495$	−29.1946			−1.31220
$496$	−5.34959	+	0.180950i	−0.240204	+	0.00812489i
$497$	0.510590	+	0.185839i	0.0229031	+	0.00833604i
$498$	33.1387	+	11.7452i	1.48498	+	0.526316i
$499$	6.14840	−	1.08413i	0.275240	−	0.0485323i	−0.0343241	−	0.999411i	$-0.510928\pi$
$499$	6.14840	−	1.08413i	0.275240	−	0.0485323i	0.309564	+	0.950878i	$0.399817\pi$
$500$	0.231217	+	13.6753i	0.0103404	+	0.611578i
$501$	−10.6550	−	6.15167i	−0.476031	−	0.274836i
$502$	−6.78062	−	18.1507i	−0.302634	−	0.810107i
$503$	−25.2239	−	21.1653i	−1.12468	−	0.943715i	−0.125845	−	0.992050i	$-0.540164\pi$
$503$	−25.2239	−	21.1653i	−1.12468	−	0.943715i	−0.998831	+	0.0483346i	$0.984609\pi$
$504$	43.9481	−	17.2700i	1.95761	−	0.769266i
$505$	−5.37160	−	9.30389i	−0.239033	−	0.414018i
$506$	0.128255	−	0.155499i	0.00570161	−	0.00691275i
$507$	7.49221	+	20.5847i	0.332741	+	0.914198i
$508$	−0.318878	+	2.00621i	−0.0141479	+	0.0890112i
$509$	35.0146	+	6.17403i	1.55200	+	0.273659i	0.882916	−	0.469531i	$-0.155577\pi$
$509$	35.0146	+	6.17403i	1.55200	+	0.273659i	0.669081	+	0.743190i	$0.266688\pi$
$510$	−19.6943	+	34.7873i	−0.872078	+	1.54041i
$511$	4.68225	−	3.92887i	0.207130	−	0.173803i
$512$	−22.5620	+	1.71977i	−0.997108	+	0.0760039i
$513$	−5.31457	+	56.9276i	−0.234644	+	2.51342i
$514$	6.28498	−	37.4946i	0.277219	−	1.65381i
$515$	−6.02425	−	7.17942i	−0.265460	−	0.316363i
$516$	49.9814	+	40.5194i	2.20031	+	1.78377i
$517$	−4.20397	−	0.741273i	−0.184890	−	0.0326011i
$518$	0.109498	+	12.9534i	0.00481108	+	0.569141i
$519$	29.5634	−	10.7602i	1.29769	−	0.472320i
$520$	12.6299	+	20.6482i	0.553859	+	0.905483i
$521$	−4.81305	−	8.33645i	−0.210864	−	0.365226i	0.741121	−	0.671371i	$-0.234294\pi$
$521$	−4.81305	−	8.33645i	−0.210864	−	0.365226i	−0.951985	+	0.306145i	$0.900961\pi$
$522$	31.2423	+	36.6003i	1.36744	+	1.60195i
$523$	17.7944	−	21.2065i	0.778094	−	0.927296i	−0.220752	−	0.975330i	$-0.570851\pi$
$523$	17.7944	−	21.2065i	0.778094	−	0.927296i	0.998846	+	0.0480341i	$0.0152956\pi$
$524$	−18.3350	+	3.55356i	−0.800969	+	0.155238i
$525$	45.0531	+	26.0114i	1.96628	+	1.13523i
$526$	5.48748	+	29.6531i	0.239266	+	1.29294i
$527$	−0.596553	−	3.38322i	−0.0259863	−	0.147375i
$528$	11.2127	−	10.0737i	0.487969	−	0.438403i
$529$	21.5993	+	7.86151i	0.939101	+	0.341805i
$530$	−14.3775	−	24.4234i	−0.624519	−	1.06089i
$531$			59.0105i			2.56084i
$532$	−20.3741	−	1.55512i	−0.883328	−	0.0674231i
$533$			3.42984i			0.148563i
$534$	25.7398	−	15.1524i	1.11387	−	0.655710i
$535$	−27.4624	−	9.99549i	−1.18730	−	0.432143i
$536$	−21.3917	+	26.8478i	−0.923981	+	1.15965i
$537$	−7.08325	−	40.1711i	−0.305665	−	1.73351i
$538$	31.8627	−	5.89639i	1.37370	−	0.254211i
$539$	1.54505	+	0.892034i	0.0665499	+	0.0384226i
$540$	17.2740	+	89.1274i	0.743354	+	3.83543i
$541$	23.7107	−	28.2573i	1.01940	−	1.21487i	0.0429629	−	0.999077i	$-0.486320\pi$
$541$	23.7107	−	28.2573i	1.01940	−	1.21487i	0.976438	−	0.215798i	$-0.0692353\pi$
$542$	0.635964	−	0.542863i	0.0273170	−	0.0233180i
$543$	−11.5841	−	20.0643i	−0.497123	−	0.861042i
$544$	−3.12387	−	14.1827i	−0.133935	−	0.608077i
$545$	53.6165	−	19.5148i	2.29668	−	0.835922i
$546$	26.0780	−	0.220444i	1.11604	−	0.00943412i
$547$	−26.1949	−	4.61886i	−1.12001	−	0.197488i	−0.417166	−	0.908830i	$-0.636977\pi$
$547$	−26.1949	−	4.61886i	−1.12001	−	0.197488i	−0.702846	+	0.711342i	$0.748088\pi$
$548$	13.0744	+	10.5993i	0.558509	+	0.452778i
$549$	−54.2910	−	64.7015i	−2.31708	−	2.76139i
$550$	11.5242	+	1.93173i	0.491393	+	0.0823693i
$551$	−5.27237	−	20.1450i	−0.224611	−	0.858207i
$552$	−0.951265	−	0.517506i	−0.0404885	−	0.0220265i
$553$	29.4670	−	24.7257i	1.25306	−	1.05145i
$554$	19.1869	+	10.8623i	0.815172	+	0.461497i
$555$	−42.3751	−	7.47187i	−1.79872	−	0.317163i
$556$	−14.1052	−	2.24195i	−0.598192	−	0.0950800i
$557$	−10.5356	−	28.9464i	−0.446408	−	1.22650i	−0.935208	−	0.354100i	$-0.884787\pi$
$557$	−10.5356	−	28.9464i	−0.446408	−	1.22650i	0.488799	−	0.872396i	$-0.337435\pi$
$558$	−10.3986	−	8.57676i	−0.440209	−	0.363083i
$559$	12.5021	+	21.6544i	0.528785	+	0.915882i
$560$	−31.7435	+	6.71100i	−1.34141	+	0.283591i
$561$	7.41092	+	6.21850i	0.312889	+	0.262545i
$562$	18.8467	−	7.04062i	0.795001	−	0.296991i
$563$	−1.12693	−	0.650635i	−0.0474945	−	0.0274210i	0.476065	−	0.879410i	$-0.342063\pi$
$563$	−1.12693	−	0.650635i	−0.0474945	−	0.0274210i	−0.523559	+	0.851989i	$0.675396\pi$
$564$	0.387711	+	22.9311i	0.0163256	+	0.965572i
$565$	36.3525	−	6.40992i	1.52936	−	0.269667i
$566$	−8.92320	+	25.1765i	−0.375070	+	1.05825i
$567$	44.8537	+	16.3254i	1.88368	+	0.685603i
$568$	−0.130196	−	0.642634i	−0.00546291	−	0.0269643i
$569$	−26.1664			−1.09695			−0.548476	−	0.836166i	$-0.684792\pi$
$569$	−26.1664			−1.09695			−0.548476	+	0.836166i	$0.684792\pi$
$570$	17.3942	−	65.6064i	0.728563	−	2.74795i
$571$			37.6888i			1.57723i	0.614888	+	0.788614i	$0.289201\pi$
$571$			37.6888i			1.57723i	−0.614888	+	0.788614i	$0.710799\pi$
$572$	5.46975	−	2.09621i	0.228702	−	0.0876468i
$573$	2.32654	−	6.39210i	0.0971924	−	0.267034i
$574$	−4.33342	−	1.53588i	−0.180873	−	0.0641063i
$575$	−0.145776	−	0.826739i	−0.00607929	−	0.0344774i
$576$	−45.4512	−	34.3671i	−1.89380	−	1.43196i
$577$	−11.8414	+	20.5099i	−0.492965	+	0.853840i	−0.999967	−	0.00810485i	$-0.997420\pi$
$577$	−11.8414	+	20.5099i	−0.492965	+	0.853840i	0.507003	+	0.861945i	$0.330753\pi$
$578$	−13.7899	+	5.15155i	−0.573586	+	0.214276i
$579$	−1.04080	+	1.24038i	−0.0432543	+	0.0515485i
$580$	−17.0141	−	28.3514i	−0.706473	−	1.17723i
$581$	−15.8610	+	9.15736i	−0.658025	+	0.379911i
$582$	45.0007	−	54.5598i	1.86534	−	2.26158i
$583$	−6.44509	+	2.34582i	−0.266928	+	0.0971539i
$584$	−6.99278	−	2.34614i	−0.289363	−	0.0970838i
$585$	−10.5844	+	60.0273i	−0.437613	+	2.48182i
$586$	0.870112	+	0.492600i	0.0359440	+	0.0203491i
$587$	1.22744	+	1.46281i	0.0506620	+	0.0603766i	0.790780	−	0.612100i	$-0.209675\pi$
$587$	1.22744	+	1.46281i	0.0506620	+	0.0603766i	−0.740118	+	0.672477i	$0.765231\pi$
$588$	3.12551	−	9.06104i	0.128894	−	0.373671i
$589$	2.43428	+	5.30067i	0.100303	+	0.218410i
$590$	6.70311	−	39.9890i	0.275962	−	1.64632i
$591$	−37.1385	+	31.1629i	−1.52768	+	1.28187i
$592$	13.2657	−	8.26915i	0.545217	−	0.339860i
$593$	0.372239	−	2.11107i	0.0152860	−	0.0866913i	−0.976210	−	0.216826i	$-0.930430\pi$
$593$	0.372239	−	2.11107i	0.0152860	−	0.0866913i	0.991496	+	0.130134i	$0.0415408\pi$
$594$	21.9700	−	0.185717i	0.901439	−	0.00762007i
$595$	−7.12217	−	19.5680i	−0.291981	−	0.802210i
$596$	8.98186	+	10.3439i	0.367911	+	0.423701i
$597$	22.4904	−	12.9849i	0.920472	−	0.531435i
$598$	−0.273224	−	0.320081i	−0.0111730	−	0.0130891i
$599$	30.9796	+	25.9949i	1.26579	+	1.06212i	0.995040	+	0.0994750i	$0.0317163\pi$
$599$	30.9796	+	25.9949i	1.26579	+	1.06212i	0.270751	+	0.962650i	$0.412728\pi$
$600$	−1.59182	−	62.7577i	−0.0649857	−	2.56207i
$601$	−7.00751	+	12.1374i	−0.285842	+	0.495093i	−0.972813	−	0.231592i	$-0.925607\pi$
$601$	−7.00751	+	12.1374i	−0.285842	+	0.495093i	0.686971	+	0.726685i	$0.258940\pi$
$602$	−32.9576	+	6.09900i	−1.34325	+	0.248577i
$603$	−85.1333	+	15.0113i	−3.46690	+	0.611308i
$604$	0.279270	−	0.503167i	0.0113633	−	0.0204736i
$605$	−11.3594	+	31.2096i	−0.461823	+	1.26885i
$606$	7.08608	+	12.0373i	0.287852	+	0.488982i
$607$	44.1295			1.79116			0.895581	−	0.444898i	$-0.146760\pi$
$607$	44.1295			1.79116			0.895581	+	0.444898i	$0.146760\pi$
$608$	11.2281	+	21.9529i	0.455361	+	0.890307i
$609$	−35.6253			−1.44361
$610$	29.4412	+	50.0125i	1.19204	+	2.02495i
$611$	−3.04828	+	8.37507i	−0.123320	+	0.338819i
$612$	17.7478	−	31.9766i	0.717413	−	1.29258i
$613$	11.2860	−	1.99003i	0.455839	−	0.0803767i	0.0589859	−	0.998259i	$-0.481213\pi$
$613$	11.2860	−	1.99003i	0.455839	−	0.0803767i	0.396853	+	0.917882i	$0.370102\pi$
$614$	14.4442	−	2.67298i	0.582920	−	0.107873i
$615$	7.63580	−	13.2256i	0.307905	−	0.533307i
$616$	0.199097	+	7.84942i	0.00802184	+	0.316262i
$617$	20.4568	+	17.1653i	0.823560	+	0.691049i	0.953803	−	0.300433i	$-0.0971313\pi$
$617$	20.4568	+	17.1653i	0.823560	+	0.691049i	−0.130243	+	0.991482i	$0.541576\pi$
$618$	7.91126	+	9.26803i	0.318238	+	0.372815i
$619$	7.42615	−	4.28749i	0.298482	−	0.172329i	−0.343279	−	0.939234i	$-0.611538\pi$
$619$	7.42615	−	4.28749i	0.298482	−	0.172329i	0.641761	+	0.766905i	$0.278204\pi$
$620$	6.07247	+	6.99331i	0.243876	+	0.280858i
$621$	−0.539866	−	1.48327i	−0.0216641	−	0.0595215i
$622$	−14.5666	+	0.123135i	−0.584069	+	0.00493727i
$623$	−2.70181	+	15.3227i	−0.108246	+	0.613892i
$624$	−16.6476	−	26.7067i	−0.666437	−	1.06912i
$625$	−8.59077	+	7.20851i	−0.343631	+	0.288340i
$626$	4.57691	−	27.3046i	0.182930	−	1.09131i
$627$	−14.8461	−	7.02834i	−0.592897	−	0.280685i
$628$	15.5596	−	45.1081i	0.620895	−	1.80001i
$629$	6.44898	+	7.68559i	0.257138	+	0.306445i
$630$	−71.1017	−	40.2531i	−2.83276	−	1.60372i
$631$	4.75885	−	26.9888i	0.189447	−	1.07441i	−0.730660	−	0.682741i	$-0.760788\pi$
$631$	4.75885	−	26.9888i	0.189447	−	1.07441i	0.920107	−	0.391666i	$-0.128101\pi$
$632$	−44.0080	−	14.7650i	−1.75054	−	0.587322i
$633$	−36.5483	+	13.3025i	−1.45267	+	0.528727i
$634$	18.4960	−	22.4249i	0.734569	−	0.890607i
$635$	3.04406	−	1.75749i	0.120800	−	0.0697437i
$636$	18.9612	+	31.5958i	0.751859	+	1.25286i
$637$	2.39427	−	2.85338i	0.0948646	−	0.113055i
$638$	−7.49592	+	2.80027i	−0.296766	+	0.110864i
$639$	0.825598	−	1.42998i	0.0326601	−	0.0565690i
$640$	26.8966	+	28.4520i	1.06318	+	1.12466i
$641$	0.317967	+	1.80328i	0.0125589	+	0.0712252i	0.990443	−	0.137922i	$-0.0440423\pi$
$641$	0.317967	+	1.80328i	0.0125589	+	0.0712252i	−0.977884	+	0.209147i	$0.932931\pi$
$642$	35.8148	+	12.6937i	1.41350	+	0.500980i
$643$	−0.506163	+	1.39067i	−0.0199611	+	0.0548427i	−0.949273	−	0.314453i	$-0.898179\pi$
$643$	−0.506163	+	1.39067i	−0.0199611	+	0.0548427i	0.929312	+	0.369296i	$0.120401\pi$
$644$	0.526755	−	0.201872i	0.0207571	−	0.00795486i
$645$		−	111.334i		−	4.38375i
$646$	−12.9397	+	9.11133i	−0.509105	+	0.358481i
$647$	−28.2365			−1.11009			−0.555045	−	0.831820i	$-0.687299\pi$
$647$	−28.2365			−1.11009			−0.555045	+	0.831820i	$0.687299\pi$
$648$	−11.4373	−	56.4534i	−0.449301	−	2.21770i
$649$	−9.22083	−	3.35611i	−0.361949	−	0.131739i
$650$	8.14993	−	22.9947i	0.319666	−	0.901926i
$651$	9.82745	−	1.73284i	0.385168	−	0.0679155i
$652$	−0.0294976	−	1.74463i	−0.00115522	−	0.0683249i
$653$	−32.8846	−	18.9859i	−1.28687	−	0.742977i	−0.308779	−	0.951134i	$-0.599920\pi$
$653$	−32.8846	−	18.9859i	−1.28687	−	0.742977i	−0.978096	+	0.208156i	$0.933254\pi$
$654$	−69.4944	+	25.9612i	−2.71745	+	1.01516i
$655$	24.7554	+	20.7723i	0.967275	+	0.811640i
$656$	1.14756	+	5.42805i	0.0448047	+	0.211930i
$657$	−9.28715	−	16.0858i	−0.362326	−	0.627568i
$658$	−9.21645	−	7.60169i	−0.359295	−	0.296345i
$659$	−0.870840	−	2.39261i	−0.0339231	−	0.0932030i	0.921575	−	0.388201i	$-0.126903\pi$
$659$	−0.870840	−	2.39261i	−0.0339231	−	0.0932030i	−0.955498	+	0.294998i	$0.904681\pi$
$660$	−25.7584	−	4.09417i	−1.00264	−	0.159365i
$661$	−16.7067	−	2.94584i	−0.649814	−	0.114580i	−0.160982	−	0.986957i	$-0.551466\pi$
$661$	−16.7067	−	2.94584i	−0.649814	−	0.114580i	−0.488833	+	0.872378i	$0.662577\pi$
$662$	−20.0209	−	11.3345i	−0.778133	−	0.440528i
$663$	15.4728	−	12.9832i	0.600912	−	0.504225i
$664$	19.4141	+	10.5616i	0.753413	+	0.409871i
$665$	20.1106	+	29.0797i	0.779857	+	1.12766i
$666$	38.8236	+	6.50776i	1.50438	+	0.252171i
$667$	0.369529	+	0.440388i	0.0143082	+	0.0170519i
$668$	−6.00779	−	4.87046i	−0.232448	−	0.188444i
$669$	47.2480	+	8.33109i	1.82671	+	0.322099i
$670$	59.3965	−	0.502092i	2.29469	−	0.0193975i
$671$	13.1978	−	4.80360i	0.509495	−	0.185441i
$672$	41.1973	−	9.07410i	1.58922	−	0.350041i
$673$	12.8993	+	22.3423i	0.497232	+	0.861232i	0.999995	−	0.00319292i	$-0.00101634\pi$
$673$	12.8993	+	22.3423i	0.497232	+	0.861232i	−0.502763	+	0.864425i	$0.667683\pi$
$674$	−25.9539	+	22.1545i	−0.999708	+	0.853359i
$675$	58.8181	−	70.0967i	2.26391	−	2.69802i
$676$	2.62008	+	13.5186i	0.100772	+	0.519947i
$677$	30.5111	+	17.6156i	1.17264	+	0.677022i	0.954300	−	0.298851i	$-0.0966035\pi$
$677$	30.5111	+	17.6156i	1.17264	+	0.677022i	0.218337	+	0.975873i	$0.429937\pi$
$678$	−47.1928	+	8.73332i	−1.81243	+	0.335401i
$679$	6.39741	+	36.2815i	0.245510	+	1.39236i
$680$	−15.6592	+	19.6532i	−0.600504	+	0.753667i
$681$	3.89197	+	1.41656i	0.149141	+	0.0542828i
$682$	1.93158	−	1.13708i	0.0739642	−	0.0435410i
$683$			42.6875i			1.63339i	0.577068	+	0.816696i	$0.304197\pi$
$683$			42.6875i			1.63339i	−0.577068	+	0.816696i	$0.695803\pi$
$684$	−15.4053	+	60.1530i	−0.589037	+	2.30001i
$685$		−	29.1231i		−	1.11274i
$686$	14.3039	+	24.2984i	0.546126	+	0.927719i
$687$	−66.1948	−	24.0929i	−2.52549	−	0.919203i
$688$	27.0310	+	30.0871i	1.03055	+	1.14706i
$689$	2.48661	+	14.1023i	0.0947325	+	0.537254i
$690$	0.340970	+	1.84252i	0.0129805	+	0.0701436i
$691$	−10.0540	−	5.80466i	−0.382471	−	0.220820i	0.296422	−	0.955057i	$-0.404207\pi$
$691$	−10.0540	−	5.80466i	−0.382471	−	0.220820i	−0.678893	+	0.734237i	$0.737540\pi$
$692$	19.4152	−	3.76292i	0.738057	−	0.143045i
$693$	−12.7100	+	15.1472i	−0.482812	+	0.575393i
$694$	16.4143	+	19.2293i	0.623079	+	0.729936i
$695$	12.3565	+	21.4020i	0.468707	+	0.811824i
$696$	22.4323	+	36.6737i	0.850295	+	1.39011i
$697$	−3.34607	+	1.21787i	−0.126741	+	0.0461301i
$698$	0.0925677	+	10.9506i	0.00350374	+	0.414485i
$699$	−35.0626	−	6.18249i	−1.32619	−	0.233843i
$700$	25.4030	+	20.5940i	0.960145	+	0.778380i
$701$	27.4824	+	32.7523i	1.03800	+	1.23704i	0.970949	+	0.239287i	$0.0769138\pi$
$701$	27.4824	+	32.7523i	1.03800	+	1.23704i	0.0670485	+	0.997750i	$0.478642\pi$
$702$	7.58331	−	45.2401i	0.286214	−	1.70748i
$703$	−13.8968	−	9.85164i	−0.524126	−	0.371562i
$704$	7.95506	−	5.14753i	0.299817	−	0.194005i
$705$	30.3996	−	25.5083i	1.14492	−	0.960698i
$706$	16.1970	−	28.6099i	0.609583	−	1.07675i
$707$	−7.16572	−	1.26351i	−0.269495	−	0.0475192i
$708$	−8.27548	+	52.0649i	−0.311011	+	1.95672i
$709$	10.4873	+	28.8137i	0.393860	+	1.08212i	0.965224	+	0.261424i	$0.0841920\pi$
$709$	10.4873	+	28.8137i	0.393860	+	1.08212i	−0.571365	+	0.820696i	$0.693586\pi$
$710$	−0.721907	+	0.875255i	−0.0270927	+	0.0328477i
$711$	−58.4473	−	101.234i	−2.19194	−	3.79656i
$712$	17.4749	−	6.86699i	0.654900	−	0.257351i
$713$	−0.123358	−	0.103509i	−0.00461978	−	0.00387646i
$714$	9.47488	+	25.3629i	0.354588	+	0.949181i
$715$	−8.77775	−	5.06783i	−0.328269	−	0.189526i
$716$	−0.433477	−	25.6379i	−0.0161998	−	0.958132i
$717$	−51.6980	+	9.11575i	−1.93070	+	0.340434i
$718$	−32.5794	−	11.5470i	−1.21585	−	0.430930i
$719$	−26.7557	−	9.73828i	−0.997820	−	0.363177i	−0.209076	−	0.977899i	$-0.567046\pi$
$719$	−26.7557	−	9.73828i	−0.997820	−	0.363177i	−0.788743	+	0.614723i	$0.789268\pi$
$720$	3.33313	+	98.5404i	0.124218	+	3.67239i
$721$	−6.34760			−0.236397
$722$	17.3373	−	20.5285i	0.645226	−	0.763992i
$723$		−	35.8587i		−	1.33360i
$724$	−5.21176	−	13.5993i	−0.193694	−	0.505416i
$725$	−11.3984	+	31.3168i	−0.423325	+	1.16308i
$726$	14.4257	−	40.7016i	0.535389	−	1.51058i
$727$	1.17128	+	6.64264i	0.0434402	+	0.246362i	0.998794	−	0.0491035i	$-0.0156364\pi$
$727$	1.17128	+	6.64264i	0.0434402	+	0.246362i	−0.955353	+	0.295465i	$0.904525\pi$
$728$	16.2115	+	2.43642i	0.600837	+	0.0902999i
$729$	9.92686	−	17.1938i	0.367662	−	0.636808i
$730$	4.46630	+	11.9556i	0.165305	+	0.442498i
$731$	−16.6862	+	19.8859i	−0.617162	+	0.735505i
$732$	−38.8273	−	64.6997i	−1.43510	−	2.39137i
$733$	−25.9665	+	14.9918i	−0.959096	+	0.553734i	−0.895895	−	0.444266i	$-0.853464\pi$
$733$	−25.9665	+	14.9918i	−0.959096	+	0.553734i	−0.0632015	+	0.998001i	$0.520131\pi$
$734$	31.3048	+	25.8201i	1.15548	+	0.953036i
$735$	−15.5849	+	5.67243i	−0.574857	+	0.209231i
$736$	−0.539497	−	0.415144i	−0.0198861	−	0.0153024i
$737$	2.49616	−	14.1565i	0.0919474	−	0.521460i
$738$	−6.88315	+	12.1582i	−0.253372	+	0.447548i
$739$	10.3078	+	12.2843i	0.379177	+	0.451886i	0.921554	−	0.388249i	$-0.126920\pi$
$739$	10.3078	+	12.2843i	0.379177	+	0.451886i	−0.542377	+	0.840135i	$0.682476\pi$
$740$	−25.5699	−	8.82007i	−0.939968	−	0.324232i
$741$	−19.8335	+	27.9772i	−0.728601	+	1.02777i
$742$	−18.9310	−	3.17329i	−0.694979	−	0.116495i
$743$	12.6275	−	10.5957i	0.463259	−	0.388720i	−0.381070	−	0.924546i	$-0.624444\pi$
$743$	12.6275	−	10.5957i	0.463259	−	0.388720i	0.844328	+	0.535826i	$0.180000\pi$
$744$	−7.97192	−	9.02554i	−0.292265	−	0.330892i
$745$	4.11618	−	23.3440i	0.150805	−	0.855260i
$746$	−0.308918	−	36.5443i	−0.0113103	−	1.33798i
$747$	19.0355	+	52.2996i	0.696472	+	1.91354i
$748$	3.98721	+	4.59184i	0.145787	+	0.167894i
$749$	−17.1418	+	9.89685i	−0.626349	+	0.361623i
$750$	−23.4034	+	19.9773i	−0.854571	+	0.729469i
$751$	9.53052	+	7.99705i	0.347774	+	0.291817i	0.799895	−	0.600140i	$-0.204888\pi$
$751$	9.53052	+	7.99705i	0.347774	+	0.291817i	−0.452122	+	0.891956i	$0.649333\pi$
$752$	−2.02205	+	14.2743i	−0.0737366	+	0.520529i
$753$	21.7954	−	37.7508i	0.794270	−	1.37572i
$754$	3.04004	+	16.4277i	0.110712	+	0.598260i
$755$	−0.980626	+	0.172911i	−0.0356887	+	0.00629287i
$756$	53.7626	+	29.8396i	1.95533	+	1.08525i
$757$	9.00866	−	24.7511i	0.327425	−	0.899594i	−0.661336	−	0.750090i	$-0.730010\pi$
$757$	9.00866	−	24.7511i	0.327425	−	0.899594i	0.988761	−	0.149504i	$-0.0477676\pi$
$758$	25.5019	−	15.0124i	0.926270	−	0.545274i
$759$	0.453473			0.0164600
$760$	17.2724	−	39.0132i	0.626536	−	1.41516i
$761$	20.1489			0.730396			0.365198	−	0.930930i	$-0.381001\pi$
$761$	20.1489			0.730396			0.365198	+	0.930930i	$0.381001\pi$
$762$	−3.93838	+	2.31843i	−0.142673	+	0.0839880i
$763$	13.2172	−	36.3139i	0.478494	−	1.31465i
$764$	2.07510	−	3.73876i	0.0750745	−	0.135263i
$765$	−62.3196	+	10.9886i	−2.25317	+	0.397295i
$766$	9.35629	+	50.5592i	0.338056	+	1.82678i
$767$	−10.2435	+	17.7423i	−0.369872	+	0.640637i
$768$	−35.2820	−	36.6960i	−1.27313	−	1.32415i
$769$	−19.7801	−	16.5975i	−0.713289	−	0.598521i	0.212231	−	0.977220i	$-0.431927\pi$
$769$	−19.7801	−	16.5975i	−0.713289	−	0.598521i	−0.925520	+	0.378699i	$0.876372\pi$
$770$	10.3336	−	8.82085i	0.372397	−	0.317881i
$771$	74.0712	−	42.7650i	2.66761	−	1.54014i
$772$	−0.768544	+	0.667347i	−0.0276605	+	0.0240184i
$773$	−4.59228	−	12.6172i	−0.165173	−	0.453808i	0.829300	−	0.558804i	$-0.188739\pi$
$773$	−4.59228	−	12.6172i	−0.165173	−	0.453808i	−0.994473	+	0.104995i	$0.966517\pi$
$774$	0.860968	+	101.851i	0.0309469	+	3.66095i
$775$	1.62103	−	9.19334i	0.0582292	−	0.330234i
$776$	33.3210	−	29.4312i	1.19615	−	1.05652i
$777$	−22.3248	+	18.7327i	−0.800898	+	0.672033i
$778$	−43.3885	−	7.27295i	−1.55555	−	0.260748i
$779$	4.97255	−	3.43886i	0.178160	−	0.123210i
$780$	−17.7567	+	51.4777i	−0.635792	+	1.84320i
$781$	0.176490	+	0.210333i	0.00631532	+	0.00752630i
$782$	0.215247	−	0.380206i	0.00769723	−	0.0135961i
$783$	−10.8812	+	61.7106i	−0.388864	+	2.20536i
$784$	2.83448	−	5.31684i	0.101231	−	0.189887i
$785$	−77.5854	+	28.2388i	−2.76914	+	1.00789i
$786$	−32.4138	−	26.7348i	−1.15616	−	0.953598i
$787$	−37.2599	+	21.5120i	−1.32817	+	0.766820i	−0.985017	−	0.172459i	$-0.944829\pi$
$787$	−37.2599	+	21.5120i	−1.32817	+	0.766820i	−0.343154	+	0.939279i	$0.611495\pi$
$788$	−26.1313	+	15.6818i	−0.930889	+	0.558641i
$789$	−43.6096	+	51.9719i	−1.55254	+	1.85025i
$790$	28.1080	+	75.2409i	1.00004	+	2.67695i
$791$	12.5005	−	21.6515i	0.444466	−	0.769838i
$792$	23.5961	+	3.54626i	0.838449	+	0.126011i
$793$	−5.09191	−	28.8777i	−0.180819	−	1.02548i
$794$	5.08323	−	14.3421i	0.180397	−	0.508983i
$795$	21.8073	−	59.9150i	0.773424	−	2.12496i
$796$	15.2437	−	5.84195i	0.540300	−	0.207063i
$797$			5.38018i			0.190576i	0.995450	+	0.0952879i	$0.0303772\pi$
$797$			5.38018i			0.190576i	−0.995450	+	0.0952879i	$0.969623\pi$
$798$	−26.4662	−	37.5867i	−0.936895	−	1.33055i
$799$	−9.25291			−0.327345
$800$	5.20445	−	39.1181i	0.184005	−	1.38303i
$801$	44.4306	+	16.1714i	1.56988	+	0.571389i
$802$	−19.8183	−	7.02415i	−0.699810	−	0.248031i
$803$	3.04172	−	0.536337i	0.107340	−	0.0189269i
$804$	−77.2182	+	1.30558i	−2.72327	+	0.0460442i
$805$	−0.845327	−	0.488050i	−0.0297938	−	0.0172015i
$806$	−1.63767	−	4.38380i	−0.0576844	−	0.154413i
$807$	55.8447	+	46.8593i	1.96583	+	1.64952i
$808$	3.21137	+	8.17220i	0.112976	+	0.287497i
$809$	−25.4413	−	44.0656i	−0.894469	−	1.54926i	−0.834461	−	0.551067i	$-0.814221\pi$
$809$	−25.4413	−	44.0656i	−0.894469	−	1.54926i	−0.0600076	−	0.998198i	$-0.519112\pi$
$810$	−63.4173	+	76.8885i	−2.22826	+	2.70159i
$811$	−6.36875	−	17.4980i	−0.223637	−	0.614438i	0.776235	−	0.630444i	$-0.217127\pi$
$811$	−6.36875	−	17.4980i	−0.223637	−	0.614438i	−0.999872	+	0.0160060i	$0.994905\pi$
$812$	−22.1168	−	3.51537i	−0.776148	−	0.123365i
$813$	1.85255	+	0.326655i	0.0649718	+	0.0114563i
$814$	−3.22490	+	5.69636i	−0.113033	+	0.199657i
$815$	−2.31285	+	1.94071i	−0.0810155	+	0.0679801i
$816$	20.1432	−	25.7240i	0.705153	−	0.900521i
$817$	18.8593	−	39.8368i	0.659802	−	1.39371i
$818$	−5.01275	+	29.9048i	−0.175267	+	1.04560i
$819$	26.5363	+	31.6247i	0.927252	+	1.10506i
$820$	6.04549	−	7.45721i	0.211118	−	0.260417i
$821$	32.2022	+	5.67811i	1.12386	+	0.198168i	0.704537	−	0.709668i	$-0.251155\pi$
$821$	32.2022	+	5.67811i	1.12386	+	0.198168i	0.419327	+	0.907835i	$0.362266\pi$
$822$	0.320074	+	37.8641i	0.0111639	+	1.32066i
$823$	1.34982	−	0.491293i	0.0470516	−	0.0171254i	−0.318387	−	0.947961i	$-0.603141\pi$
$823$	1.34982	−	0.491293i	0.0470516	−	0.0171254i	0.365439	+	0.930835i	$0.380919\pi$
$824$	3.99692	+	6.53441i	0.139239	+	0.227637i
$825$	13.1441	+	22.7663i	0.457619	+	0.792620i
$826$	−17.8294	−	20.8871i	−0.620365	−	0.726756i
$827$	−18.2093	+	21.7010i	−0.633200	+	0.754618i	−0.983280	−	0.182102i	$-0.941710\pi$
$827$	−18.2093	+	21.7010i	−0.633200	+	0.754618i	0.350080	+	0.936720i	$0.386154\pi$
$828$	−0.326177	−	1.68295i	−0.0113354	−	0.0584865i
$829$	20.8885	+	12.0600i	0.725489	+	0.418861i	0.816770	−	0.576964i	$-0.195763\pi$
$829$	20.8885	+	12.0600i	0.725489	+	0.418861i	−0.0912804	+	0.995825i	$0.529096\pi$
$830$	−6.95876	−	37.6035i	−0.241542	−	1.30524i
$831$	8.61347	+	48.8494i	0.298798	+	1.69457i
$832$	−7.69980	−	18.2227i	−0.266942	−	0.631759i
$833$	3.63386	+	1.32262i	0.125906	+	0.0458259i
$834$	−16.3003	−	27.6898i	−0.564434	−	0.958819i
$835$			13.3824i			0.463116i
$836$	−8.52320	−	5.82827i	−0.294781	−	0.201575i
$837$		−	17.5525i		−	0.606703i
$838$	−11.8665	+	6.98550i	−0.409920	+	0.241310i
$839$	12.1573	+	4.42491i	0.419718	+	0.152765i	0.543241	−	0.839577i	$-0.317197\pi$
$839$	12.1573	+	4.42491i	0.419718	+	0.152765i	−0.123523	+	0.992342i	$0.539419\pi$
$840$	−57.0879	−	45.4863i	−1.96972	−	1.56943i
$841$	1.07278	+	6.08403i	0.0369923	+	0.209794i
$842$	24.9899	−	4.62454i	0.861211	−	0.159372i
$843$	39.1983	+	22.6312i	1.35006	+	0.779459i
$844$	−24.0025	+	4.65198i	−0.826199	+	0.160128i
$845$	15.3156	−	18.2525i	0.526874	−	0.627904i
$846$	−27.6131	+	23.5707i	−0.949357	+	0.810379i
$847$	11.2473	+	19.4808i	0.386460	+	0.669369i
$848$	8.65367	+	21.4863i	0.297168	+	0.737841i
$849$	−56.4689	+	20.5530i	−1.93801	+	0.705377i
$850$	25.3270	−	0.214095i	0.868708	−	0.00734339i
$851$	0.463135	+	0.0816633i	0.0158761	+	0.00279938i
$852$	0.928960	−	1.14589i	0.0318256	−	0.0392575i
$853$	−11.4863	−	13.6889i	−0.393284	−	0.468698i	0.532676	−	0.846319i	$-0.321187\pi$
$853$	−11.4863	−	13.6889i	−0.393284	−	0.468698i	−0.925960	+	0.377621i	$0.876742\pi$
$854$	38.7655	+	6.49803i	1.32653	+	0.222358i
$855$	97.6394	−	44.8400i	3.33920	−	1.53350i
$856$	20.9819	+	11.4145i	0.717145	+	0.390141i
$857$	−19.7227	+	16.5493i	−0.673715	+	0.565314i	−0.914163	−	0.405348i	$-0.867150\pi$
$857$	−19.7227	+	16.5493i	−0.673715	+	0.565314i	0.240447	+	0.970662i	$0.422706\pi$
$858$	11.4680	+	6.49242i	0.391511	+	0.221648i
$859$	44.6049	+	7.86505i	1.52190	+	0.268352i	0.871179	−	0.490965i	$-0.163356\pi$
$859$	44.6049	+	7.86505i	1.52190	+	0.268352i	0.650721	+	0.759317i	$0.274467\pi$
$860$	10.9860	−	69.1178i	0.374618	−	2.35690i
$861$	−3.53762	−	9.71952i	−0.120562	−	0.331240i
$862$	19.5042	+	16.0870i	0.664317	+	0.547926i
$863$	19.9734	+	34.5949i	0.679902	+	1.17762i	0.975010	+	0.222161i	$0.0713110\pi$
$863$	19.9734	+	34.5949i	0.679902	+	1.17762i	−0.295108	+	0.955464i	$0.595356\pi$
$864$	−3.13515	−	74.1340i	−0.106660	−	2.52209i
$865$	−26.2139	−	21.9961i	−0.891300	−	0.747890i
$866$	−30.4990	+	11.3936i	−1.03640	+	0.387171i
$867$	−28.6810	−	16.5590i	−0.974058	−	0.562373i
$868$	6.27204	−	0.106046i	0.212887	−	0.00359942i
$869$	19.1426	−	3.37535i	0.649367	−	0.114501i
$870$	24.8502	−	70.1138i	0.842500	−	2.37708i
$871$	−28.2023	−	10.2648i	−0.955597	−	0.347809i
$872$	−45.7051	+	9.25974i	−1.54777	+	0.313574i
$873$	111.956			3.78913
$874$	−0.190109	+	0.717041i	−0.00643052	+	0.0242543i
$875$		−	16.0288i		−	0.541872i
$876$	−5.93821	−	15.4949i	−0.200634	−	0.523524i
$877$	−7.15883	+	19.6687i	−0.241736	+	0.664166i	0.758190	+	0.652034i	$0.226084\pi$
$877$	−7.15883	+	19.6687i	−0.241736	+	0.664166i	−0.999926	+	0.0121318i	$0.996138\pi$
$878$	−24.7668	−	8.77801i	−0.835839	−	0.296243i
$879$	0.390615	+	2.21529i	0.0131751	+	0.0747198i
$880$	−15.5872	−	5.08347i	−0.525446	−	0.171364i
$881$	18.6701	−	32.3375i	0.629010	−	1.08948i	−0.358740	−	0.933437i	$-0.616794\pi$
$881$	18.6701	−	32.3375i	0.629010	−	1.08948i	0.987751	−	0.156040i	$-0.0498730\pi$
$882$	14.2136	−	5.30981i	0.478596	−	0.178791i
$883$	31.1028	−	37.0669i	1.04669	−	1.24740i	0.0785733	−	0.996908i	$-0.474964\pi$
$883$	31.1028	−	37.0669i	1.04669	−	1.24740i	0.968119	−	0.250491i	$-0.0805920\pi$
$884$	10.8869	−	6.53339i	0.366166	−	0.219742i
$885$	78.9989	−	45.6101i	2.65552	−	1.53317i
$886$	3.16219	−	3.83390i	0.106236	−	0.128802i
$887$	−23.8454	+	8.67903i	−0.800652	+	0.291413i	−0.709757	−	0.704447i	$-0.751195\pi$
$887$	−23.8454	+	8.67903i	−0.800652	+	0.291413i	−0.0908953	+	0.995860i	$0.528973\pi$
$888$	33.3414	+	11.1863i	1.11886	+	0.375388i
$889$	0.413397	−	2.34449i	0.0138649	−	0.0786316i
$890$	−28.2718	−	16.0057i	−0.947674	−	0.536511i
$891$	15.5041	+	18.4771i	0.519408	+	0.619006i
$892$	28.5103	+	9.83433i	0.954595	+	0.329278i
$893$	15.1984	−	3.97774i	0.508595	−	0.133110i
$894$	−5.09505	+	30.3957i	−0.170404	+	1.01659i
$895$	−33.9880	+	28.5193i	−1.13609	+	0.953296i
$896$	26.4714	−	1.56817i	0.884347	−	0.0523890i
$897$	0.164406	−	0.932391i	0.00548935	−	0.0311316i
$898$	−9.80888	+	0.0829167i	−0.327327	+	0.00276697i
$899$	2.18644	+	6.00720i	0.0729220	+	0.200351i
$900$	75.0368	−	65.1565i	2.50123	−	2.17188i
$901$	−12.8749	+	7.43334i	−0.428926	+	0.247640i
$902$	−1.50834	−	1.76701i	−0.0502221	−	0.0588351i
$903$	−57.7636	−	48.4694i	−1.92225	−	1.61296i
$904$	−30.1599	+	0.764992i	−1.00310	+	0.0254432i
$905$	−12.6001	+	21.8240i	−0.418841	+	0.725453i
$906$	1.27305	−	0.235586i	0.0422943	−	0.00782681i
$907$	−13.0629	+	2.30334i	−0.433746	+	0.0764812i	−0.386258	−	0.922391i	$-0.626233\pi$
$907$	−13.0629	+	2.30334i	−0.433746	+	0.0764812i	−0.0474880	+	0.998872i	$0.515122\pi$
$908$	2.27642	+	1.26347i	0.0755458	+	0.0419298i
$909$	−7.56262	+	20.7781i	−0.250836	+	0.689167i
$910$	−14.3902	−	24.4450i	−0.477031	−	0.810345i
$911$	−4.32705			−0.143362			−0.0716808	−	0.997428i	$-0.522836\pi$
$911$	−4.32705			−0.143362			−0.0716808	+	0.997428i	$0.522836\pi$
$912$	−22.0278	+	50.9125i	−0.729412	+	1.68588i
$913$	−9.25481			−0.306289
$914$	5.30565	+	9.01285i	0.175495	+	0.298119i
$915$	−44.6553	+	122.690i	−1.47626	+	4.05599i
$916$	−38.7175	−	21.4892i	−1.27926	−	0.710022i
$917$	21.5547	−	3.80068i	0.711800	−	0.125510i
$918$	46.8278	−	8.66577i	1.54555	−	0.286013i
$919$	−20.2836	+	35.1322i	−0.669094	+	1.15891i	0.309063	+	0.951041i	$0.399985\pi$
$919$	−20.2836	+	35.1322i	−0.669094	+	1.15891i	−0.978158	+	0.207864i	$0.933349\pi$
$920$	0.0298671	+	1.17752i	0.000984690	+	0.0388215i
$921$	25.3158	+	21.2425i	0.834185	+	0.699964i
$922$	4.52731	+	5.30374i	0.149099	+	0.174669i
$923$	0.496454	−	0.286628i	0.0163410	−	0.00943447i
$924$	−13.3382	+	11.5819i	−0.438794	+	0.381017i
$925$	9.32433	+	25.6184i	0.306582	+	0.842328i
$926$	33.2265	−	0.280871i	1.09189	−	0.00923001i
$927$	−3.34960	+	18.9965i	−0.110015	+	0.623927i
$928$	10.3075	+	24.9812i	0.338362	+	0.820049i
$929$	−26.7733	+	22.4655i	−0.878403	+	0.737068i	−0.965850	−	0.259101i	$-0.916574\pi$
$929$	−26.7733	+	22.4655i	−0.878403	+	0.737068i	0.0874468	+	0.996169i	$0.472129\pi$
$930$	−3.44468	+	20.5500i	−0.112955	+	0.673862i
$931$	−6.53738	−	0.610308i	−0.214254	−	0.0200020i
$932$	−21.1574	−	7.29804i	−0.693035	−	0.239055i
$933$	−21.0657	−	25.1051i	−0.689660	−	0.821905i
$934$	8.35354	+	4.72922i	0.273336	+	0.154745i
$935$	1.82725	−	10.3629i	0.0597575	−	0.338902i
$936$	15.8462	−	47.2304i	0.517949	−	1.54377i
$937$	1.94618	−	0.708351i	0.0635788	−	0.0231408i	−0.310035	−	0.950725i	$-0.600341\pi$
$937$	1.94618	−	0.708351i	0.0635788	−	0.0231408i	0.373614	+	0.927584i	$0.378119\pi$
$938$	25.5980	−	31.0355i	0.835803	−	1.01335i
$939$	53.9408	−	31.1427i	1.76029	−	1.01630i
$940$	21.3897	−	12.8363i	0.697654	−	0.418674i
$941$	33.8771	−	40.3732i	1.10436	−	1.31613i	0.160039	−	0.987111i	$-0.448838\pi$
$941$	33.8771	−	40.3732i	1.10436	−	1.31613i	0.944324	−	0.329018i	$-0.106718\pi$
$942$	100.561	−	37.5670i	3.27647	−	1.22400i
$943$	−0.0834549	+	0.144548i	−0.00271767	+	0.00470714i
$944$	−10.2751	+	31.5062i	−0.334427	+	1.02544i
$945$	−18.4753	−	104.779i	−0.601001	−	3.40845i
$946$	−15.9639	−	5.65803i	−0.519031	−	0.183958i
$947$	−14.6569	+	40.2696i	−0.476287	+	1.30859i	0.436336	+	0.899784i	$0.356276\pi$
$947$	−14.6569	+	40.2696i	−0.476287	+	1.30859i	−0.912623	+	0.408803i	$0.865946\pi$
$948$	−37.3712	−	97.5148i	−1.21376	−	3.16713i
$949$		−	6.44856i		−	0.209329i
$950$	−41.5089	+	11.2395i	−1.34673	+	0.364657i
$951$	65.3967			2.12063
$952$	3.37946	+	16.6807i	0.109529	+	0.540623i
$953$	34.3616	+	12.5066i	1.11308	+	0.405128i	0.832122	−	0.554592i	$-0.187126\pi$
$953$	34.3616	+	12.5066i	1.11308	+	0.405128i	0.280958	+	0.959720i	$0.409348\pi$
$954$	−19.4865	+	54.9804i	−0.630899	+	1.78006i
$955$	−7.28650	+	1.28481i	−0.235786	+	0.0415754i
$956$	−32.9945	+	0.557860i	−1.06712	+	0.0180425i
$957$	−15.5904	−	9.00111i	−0.503965	−	0.290964i
$958$	42.7094	−	15.9551i	1.37988	−	0.515485i
$959$	−15.1101	−	12.6789i	−0.487930	−	0.409422i
$960$	−10.8782	+	87.4095i	−0.351093	+	2.82113i
$961$	14.6047	+	25.2960i	0.471118	+	0.816001i
$962$	10.5432	+	8.69596i	0.339925	+	0.280369i
$963$	20.5727	+	56.5230i	0.662945	+	1.82143i
$964$	3.53840	−	22.2617i	0.113964	−	0.717002i
$965$	1.73445	+	0.305830i	0.0558339	+	0.00984503i
$966$	1.10441	+	0.625242i	0.0355337	+	0.0201168i
$967$	−7.24814	+	6.08191i	−0.233084	+	0.195581i	−0.751848	−	0.659337i	$-0.770837\pi$
$967$	−7.24814	+	6.08191i	−0.233084	+	0.195581i	0.518763	+	0.854918i	$0.326393\pi$
$968$	12.9720	−	23.8448i	0.416937	−	0.766401i
$969$	−34.3363	−	9.41493i	−1.10304	−	0.302451i
$970$	−75.8678	−	12.7173i	−2.43597	−	0.408326i
$971$	−25.9759	−	30.9569i	−0.833606	−	0.993453i	−0.999973	−	0.00738879i	$-0.997648\pi$
$971$	−25.9759	−	30.9569i	−0.833606	−	0.993453i	0.166367	−	0.986064i	$-0.446796\pi$
$972$	32.0445	−	39.5274i	1.02783	−	1.26784i
$973$	16.4835	+	2.90649i	0.528437	+	0.0931778i
$974$	−27.5022	+	0.232483i	−0.881229	+	0.00744923i
$975$	51.5753	−	18.7719i	1.65173	−	0.601182i
$976$	−17.7204	−	43.9980i	−0.567215	−	1.40834i
$977$	−12.4336	−	21.5357i	−0.397787	−	0.688988i	0.595665	−	0.803233i	$-0.296888\pi$
$977$	−12.4336	−	21.5357i	−0.397787	−	0.688988i	−0.993453	+	0.114245i	$0.963555\pi$
$978$	2.98569	−	2.54861i	0.0954720	−	0.0814956i
$979$	−5.05381	+	6.02290i	−0.161520	+	0.192493i
$980$	−10.2351	+	1.98369i	−0.326948	+	0.0633666i
$981$	−101.702	−	58.7177i	−3.24710	−	1.87471i
$982$	29.9668	−	5.54553i	0.956278	−	0.176965i
$983$	−7.21960	−	40.9444i	−0.230269	−	1.30592i	−0.852351	−	0.522970i	$-0.824824\pi$
$983$	−7.21960	−	40.9444i	−0.230269	−	1.30592i	0.622081	−	0.782953i	$-0.286287\pi$
$984$	−7.77802	+	9.76185i	−0.247954	+	0.311197i
$985$	49.5526	+	18.0357i	1.57888	+	0.574664i
$986$	−14.9470	+	8.79894i	−0.476009	+	0.280215i
$987$		−	26.8775i		−	0.855520i
$988$	−15.0736	+	15.4116i	−0.479557	+	0.490309i
$989$			1.21681i			0.0386924i
$990$	−20.9452	−	35.5802i	−0.665682	−	1.13081i
$991$	−43.4540	−	15.8160i	−1.38036	−	0.502411i	−0.458074	−	0.888914i	$-0.651460\pi$
$991$	−43.4540	−	15.8160i	−1.38036	−	0.502411i	−0.922288	+	0.386504i	$0.873683\pi$
$992$	−4.05850	−	6.38985i	−0.128858	−	0.202878i
$993$	−8.98787	−	50.9727i	−0.285221	−	1.61757i
$994$	0.139827	+	0.755595i	0.00443506	+	0.0239660i
$995$	−24.4629	−	14.1236i	−0.775525	−	0.447749i
$996$	9.46064	+	48.8134i	0.299772	+	1.54671i
$997$	22.8898	−	27.2790i	0.724927	−	0.863934i	−0.270173	−	0.962812i	$-0.587081\pi$
$997$	22.8898	−	27.2790i	0.724927	−	0.863934i	0.995100	+	0.0988778i	$0.0315253\pi$
$998$	5.73233	+	6.71542i	0.181454	+	0.212573i
$999$	25.6303	+	44.3929i	0.810906	+	1.40453i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	152.2.t.a.101.13	yes	108
4.3	odd	2		608.2.bf.a.177.18		108
8.3	odd	2		608.2.bf.a.177.1		108
8.5	even	2	inner	152.2.t.a.101.5	✓	108
19.16	even	9	inner	152.2.t.a.149.5	yes	108
76.35	odd	18		608.2.bf.a.529.1		108
152.35	odd	18		608.2.bf.a.529.18		108
152.149	even	18	inner	152.2.t.a.149.13	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
152.2.t.a.101.5	✓	108	8.5	even	2	inner
152.2.t.a.101.13	yes	108	1.1	even	1	trivial
152.2.t.a.149.5	yes	108	19.16	even	9	inner
152.2.t.a.149.13	yes	108	152.149	even	18	inner
608.2.bf.a.177.1		108	8.3	odd	2
608.2.bf.a.177.18		108	4.3	odd	2
608.2.bf.a.529.1		108	76.35	odd	18
608.2.bf.a.529.18		108	152.35	odd	18

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:	\( N \)	\(=\)	\( 152 = 2^{3} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	152.t (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.717434 + 1.21872i) q^{2} +(-1.08818 + 2.98974i) q^{3} +(-0.970576 + 1.74871i) q^{4} +(3.40808 - 0.600936i) q^{5} +(-4.42437 + 0.818756i) q^{6} +(1.17193 - 2.02985i) q^{7} +(-2.82752 + 0.0717186i) q^{8} +(-5.45631 - 4.57839i) q^{9} +O(q^{10})\)	\(q+(0.717434 + 1.21872i) q^{2} +(-1.08818 + 2.98974i) q^{3} +(-0.970576 + 1.74871i) q^{4} +(3.40808 - 0.600936i) q^{5} +(-4.42437 + 0.818756i) q^{6} +(1.17193 - 2.02985i) q^{7} +(-2.82752 + 0.0717186i) q^{8} +(-5.45631 - 4.57839i) q^{9} +(3.17745 + 3.72237i) q^{10} +(1.02572 - 0.592202i) q^{11} +(-4.17203 - 4.80468i) q^{12} +(-0.845759 - 2.32370i) q^{13} +(3.31461 - 0.0280191i) q^{14} +(-1.91195 + 10.8432i) q^{15} +(-2.11596 - 3.39451i) q^{16} +(1.96664 - 1.65021i) q^{17} +(1.66525 - 9.93442i) q^{18} +(-2.52090 + 3.55599i) q^{19} +(-2.25694 + 6.54299i) q^{20} +(4.79345 + 5.71261i) q^{21} +(1.45762 + 0.825208i) q^{22} +(0.0208965 - 0.118510i) q^{23} +(2.86242 - 8.53160i) q^{24} +(6.55540 - 2.38597i) q^{25} +(2.22518 - 2.69785i) q^{26} +(11.3595 - 6.55844i) q^{27} +(2.41216 + 4.01949i) q^{28} +(-3.07076 + 3.65959i) q^{29} +(-14.5866 + 5.44915i) q^{30} +(0.669081 - 1.15888i) q^{31} +(2.61891 - 5.01411i) q^{32} +(0.654362 + 3.71107i) q^{33} +(3.42208 + 1.21288i) q^{34} +(2.77423 - 7.62213i) q^{35} +(13.3020 - 5.09782i) q^{36} +3.90798i q^{37} +(-6.14235 - 0.521095i) q^{38} +7.86762 q^{39} +(-9.59330 + 1.94358i) q^{40} +(-1.30336 - 0.474384i) q^{41} +(-3.52311 + 9.94032i) q^{42} +(-9.95798 + 1.75586i) q^{43} +(0.0400453 + 2.36847i) q^{44} +(-21.3468 - 12.3246i) q^{45} +(0.159423 - 0.0595561i) q^{46} +(-2.76097 - 2.31673i) q^{47} +(12.4513 - 2.63236i) q^{48} +(0.753150 + 1.30449i) q^{49} +(7.61091 + 6.27744i) q^{50} +(2.79364 + 7.67546i) q^{51} +(4.88435 + 0.776346i) q^{52} +(-5.70289 - 1.00557i) q^{53} +(16.1427 + 9.13891i) q^{54} +(3.13987 - 2.63466i) q^{55} +(-3.16808 + 5.82347i) q^{56} +(-7.88831 - 11.4064i) q^{57} +(-6.66309 - 1.11689i) q^{58} +(-5.32540 - 6.34656i) q^{59} +(-17.1059 - 13.8676i) q^{60} +(11.6780 + 2.05914i) q^{61} +(1.89238 - 0.0159967i) q^{62} +(-15.6878 + 5.70991i) q^{63} +(7.98971 - 0.405571i) q^{64} +(-4.27881 - 7.41111i) q^{65} +(-4.05331 + 3.45994i) q^{66} +(7.80137 - 9.29731i) q^{67} +(0.976956 + 5.04073i) q^{68} +(0.331576 + 0.191435i) q^{69} +(11.2796 - 2.08736i) q^{70} +(0.0402554 + 0.228300i) q^{71} +(15.7562 + 12.5541i) q^{72} +(2.45049 + 0.891907i) q^{73} +(-4.76275 + 2.80372i) q^{74} +22.1953i q^{75} +(-3.77166 - 7.85968i) q^{76} -2.77608i q^{77} +(5.64450 + 9.58845i) q^{78} +(15.4218 + 5.61308i) q^{79} +(-9.25125 - 10.2972i) q^{80} +(3.53631 + 20.0554i) q^{81} +(-0.356931 - 1.92877i) q^{82} +(-6.76703 - 3.90695i) q^{83} +(-14.6421 + 2.83782i) q^{84} +(5.71078 - 6.80585i) q^{85} +(-9.28411 - 10.8763i) q^{86} +(-7.59970 - 13.1631i) q^{87} +(-2.85778 + 1.74802i) q^{88} +(-6.23789 + 2.27041i) q^{89} +(-0.294663 - 34.8580i) q^{90} +(-5.70793 - 1.00646i) q^{91} +(0.186958 + 0.151565i) q^{92} +(2.73668 + 3.26145i) q^{93} +(0.842639 - 5.02696i) q^{94} +(-6.45450 + 13.6340i) q^{95} +(12.1411 + 13.2861i) q^{96} +(-12.0408 + 10.1034i) q^{97} +(-1.04948 + 1.85377i) q^{98} +(-8.30799 - 1.46492i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

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