LMFDB - Embedded newform 532.2.bs.a.67.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [532,2,Mod(67,532)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(532, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 12, 17]))

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

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

chi := DirichletCharacter("532.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 532 = 2^{2} \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	532.bs (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:	$4.24804138753$
Analytic rank:	$0$
Dimension:	$456$
Relative dimension:	$76$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			67.3
Character	$\chi$	$=$	532.67
Dual form			532.2.bs.a.135.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40430 + 0.167132i) q^{2} +(0.208081 + 1.18008i) q^{3} +(1.94413 - 0.469408i) q^{4} +(-0.276151 - 1.56613i) q^{5} +(-0.489438 - 1.62242i) q^{6} +(2.55554 - 0.684996i) q^{7} +(-2.65170 + 0.984118i) q^{8} +(1.46978 - 0.534955i) q^{9} +O(q^{10})$	\(q+(-1.40430 + 0.167132i) q^{2} +(0.208081 + 1.18008i) q^{3} +(1.94413 - 0.469408i) q^{4} +(-0.276151 - 1.56613i) q^{5} +(-0.489438 - 1.62242i) q^{6} +(2.55554 - 0.684996i) q^{7} +(-2.65170 + 0.984118i) q^{8} +(1.46978 - 0.534955i) q^{9} +(0.649551 + 2.15317i) q^{10} +3.13693i q^{11} +(0.958477 + 2.19657i) q^{12} +(0.659090 - 0.785472i) q^{13} +(-3.47427 + 1.38905i) q^{14} +(1.79071 - 0.651764i) q^{15} +(3.55931 - 1.82518i) q^{16} +(-5.01598 - 1.82567i) q^{17} +(-1.97461 + 0.996886i) q^{18} +(-0.271661 - 4.35043i) q^{19} +(-1.27203 - 2.91514i) q^{20} +(1.34011 + 2.87322i) q^{21} +(-0.524281 - 4.40520i) q^{22} +(5.34976 - 6.37560i) q^{23} +(-1.71311 - 2.92445i) q^{24} +(2.32195 - 0.845121i) q^{25} +(-0.794284 + 1.21320i) q^{26} +(2.73456 + 4.73639i) q^{27} +(4.64677 - 2.53131i) q^{28} +(-0.831365 - 0.146592i) q^{29} +(-2.40576 + 1.21456i) q^{30} +(0.714860 + 1.23817i) q^{31} +(-4.69331 + 3.15799i) q^{32} +(-3.70184 + 0.652734i) q^{33} +(7.34908 + 1.72546i) q^{34} +(-1.77851 - 3.81315i) q^{35} +(2.60633 - 1.72995i) q^{36} +(4.07603 - 2.35329i) q^{37} +(1.10859 + 6.06391i) q^{38} +(1.06407 + 0.614339i) q^{39} +(2.27353 + 3.88115i) q^{40} +(3.22874 + 3.84786i) q^{41} +(-2.36213 - 3.81089i) q^{42} +(-3.56447 + 9.79329i) q^{43} +(1.47250 + 6.09861i) q^{44} +(-1.24369 - 2.15414i) q^{45} +(-6.44712 + 9.84739i) q^{46} +(1.91386 + 5.25828i) q^{47} +(2.89449 + 3.82050i) q^{48} +(6.06156 - 3.50107i) q^{49} +(-3.11948 + 1.57488i) q^{50} +(1.11071 - 6.29916i) q^{51} +(0.912651 - 1.83645i) q^{52} +(-1.64296 - 0.289698i) q^{53} +(-4.63175 - 6.19430i) q^{54} +(4.91285 - 0.866267i) q^{55} +(-6.10241 + 4.33136i) q^{56} +(5.07734 - 1.22582i) q^{57} +(1.19199 + 0.0669119i) q^{58} +(6.61623 + 2.40811i) q^{59} +(3.17543 - 2.10769i) q^{60} +(-0.639972 - 0.537001i) q^{61} +(-1.21082 - 1.61930i) q^{62} +(3.38963 - 2.37389i) q^{63} +(6.06302 - 5.21917i) q^{64} +(-1.41216 - 0.815312i) q^{65} +(5.08941 - 1.53533i) q^{66} +(3.41411 + 2.86478i) q^{67} +(-10.6087 - 1.19480i) q^{68} +(8.63692 + 4.98653i) q^{69} +(3.13487 + 5.05757i) q^{70} +(9.83100 + 3.57819i) q^{71} +(-3.37095 + 2.86498i) q^{72} +(-2.92928 - 16.6128i) q^{73} +(-5.33066 + 3.98597i) q^{74} +(1.48047 + 2.56424i) q^{75} +(-2.57027 - 8.33029i) q^{76} +(2.14878 + 8.01654i) q^{77} +(-1.59695 - 0.684879i) q^{78} +(-4.12796 - 1.50246i) q^{79} +(-3.84139 - 5.07033i) q^{80} +(-1.42581 + 1.19640i) q^{81} +(-5.17723 - 4.86394i) q^{82} +(-3.17167 - 1.83117i) q^{83} +(3.95407 + 4.95686i) q^{84} +(-1.47407 + 8.35985i) q^{85} +(3.36882 - 14.3485i) q^{86} -1.01158i q^{87} +(-3.08711 - 8.31819i) q^{88} +(-11.0611 - 1.95037i) q^{89} +(2.10655 + 2.81720i) q^{90} +(1.14628 - 2.45878i) q^{91} +(7.40790 - 14.9062i) q^{92} +(-1.31240 + 1.10124i) q^{93} +(-3.56646 - 7.06435i) q^{94} +(-6.73832 + 1.62683i) q^{95} +(-4.70327 - 4.88138i) q^{96} +(-11.2618 + 1.98576i) q^{97} +(-7.92713 + 5.92964i) q^{98} +(1.67812 + 4.61059i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9}+O(q^{10}) $ 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9	$ 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9} + 15 q^{10} - 36 q^{13} + 15 q^{14} - 3 q^{16} - 6 q^{17} - 24 q^{20} - 18 q^{21} - 6 q^{22} - 12 q^{24} - 6 q^{25} - 6 q^{26} - 27 q^{28} - 24 q^{29} + 3 q^{30} + 12 q^{32} + 66 q^{33} - 12 q^{34} - 81 q^{36} - 72 q^{38} - 33 q^{40} - 36 q^{41} - 87 q^{42} + 12 q^{44} + 6 q^{45} - 45 q^{48} - 6 q^{49} - 45 q^{50} - 3 q^{52} + 6 q^{53} - 39 q^{54} - 24 q^{57} - 42 q^{58} + 66 q^{60} - 18 q^{61} + 3 q^{62} - 6 q^{64} + 18 q^{65} + 75 q^{66} - 39 q^{68} - 36 q^{69} + 9 q^{70} - 54 q^{72} + 30 q^{73} - 57 q^{74} - 84 q^{76} - 18 q^{77} - 9 q^{78} - 3 q^{80} - 24 q^{81} + 117 q^{82} - 9 q^{84} - 78 q^{86} - 9 q^{88} - 30 q^{89} - 48 q^{90} + 30 q^{92} + 42 q^{93} - 57 q^{96} - 24 q^{97} + 60 q^{98}+O(q^{100}) $ 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9 + 15 * q^10 - 36 * q^13 + 15 * q^14 - 3 * q^16 - 6 * q^17 - 24 * q^20 - 18 * q^21 - 6 * q^22 - 12 * q^24 - 6 * q^25 - 6 * q^26 - 27 * q^28 - 24 * q^29 + 3 * q^30 + 12 * q^32 + 66 * q^33 - 12 * q^34 - 81 * q^36 - 72 * q^38 - 33 * q^40 - 36 * q^41 - 87 * q^42 + 12 * q^44 + 6 * q^45 - 45 * q^48 - 6 * q^49 - 45 * q^50 - 3 * q^52 + 6 * q^53 - 39 * q^54 - 24 * q^57 - 42 * q^58 + 66 * q^60 - 18 * q^61 + 3 * q^62 - 6 * q^64 + 18 * q^65 + 75 * q^66 - 39 * q^68 - 36 * q^69 + 9 * q^70 - 54 * q^72 + 30 * q^73 - 57 * q^74 - 84 * q^76 - 18 * q^77 - 9 * q^78 - 3 * q^80 - 24 * q^81 + 117 * q^82 - 9 * q^84 - 78 * q^86 - 9 * q^88 - 30 * q^89 - 48 * q^90 + 30 * q^92 + 42 * q^93 - 57 * q^96 - 24 * q^97 + 60 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/532\mathbb{Z}\right)^\times$.

$n$	$267$	$381$	$477$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{17}{18}\right)$

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 $

$2$	−1.40430	+	0.167132i	−0.992992	+	0.118180i
$2$	−1.40430	+	0.167132i	−0.992992	+	0.118180i
$3$	0.208081	+	1.18008i	0.120135	+	0.681322i	0.984079	+	0.177733i	$0.0568763\pi$
$3$	0.208081	+	1.18008i	0.120135	+	0.681322i	−0.863943	+	0.503589i	$0.832013\pi$
$4$	1.94413	−	0.469408i	0.972067	−	0.234704i
$5$	−0.276151	−	1.56613i	−0.123499	−	0.700396i	−0.982188	−	0.187900i	$-0.939832\pi$
$5$	−0.276151	−	1.56613i	−0.123499	−	0.700396i	0.858690	−	0.512496i	$-0.171279\pi$
$6$	−0.489438	−	1.62242i	−0.199812	−	0.662349i
$7$	2.55554	−	0.684996i	0.965903	−	0.258904i
$7$	2.55554	−	0.684996i	0.965903	−	0.258904i
$8$	−2.65170	+	0.984118i	−0.937517	+	0.347938i
$9$	1.46978	−	0.534955i	0.489926	−	0.178318i
$10$	0.649551	+	2.15317i	0.205406	+	0.680892i
$11$			3.13693i			0.945820i	0.881111	+	0.472910i	$0.156796\pi$
$11$			3.13693i			0.945820i	−0.881111	+	0.472910i	$0.843204\pi$
$12$	0.958477	+	2.19657i	0.276689	+	0.634094i
$13$	0.659090	−	0.785472i	0.182799	−	0.217851i	−0.666861	−	0.745182i	$-0.732363\pi$
$13$	0.659090	−	0.785472i	0.182799	−	0.217851i	0.849660	+	0.527331i	$0.176807\pi$
$14$	−3.47427	+	1.38905i	−0.928537	+	0.371240i
$15$	1.79071	−	0.651764i	0.462358	−	0.168285i
$16$	3.55931	−	1.82518i	0.889828	−	0.456296i
$17$	−5.01598	−	1.82567i	−1.21655	−	0.442789i	−0.347582	−	0.937650i	$-0.612997\pi$
$17$	−5.01598	−	1.82567i	−1.21655	−	0.442789i	−0.868973	+	0.494860i	$0.835219\pi$
$18$	−1.97461	+	0.996886i	−0.465419	+	0.234968i
$19$	−0.271661	−	4.35043i	−0.0623233	−	0.998056i
$19$	−0.271661	−	4.35043i	−0.0623233	−	0.998056i
$20$	−1.27203	−	2.91514i	−0.284435	−	0.651846i
$21$	1.34011	+	2.87322i	0.292436	+	0.626987i
$22$	−0.524281	−	4.40520i	−0.111777	−	0.939191i
$23$	5.34976	−	6.37560i	1.11550	−	1.32940i	0.176969	−	0.984216i	$-0.443371\pi$
$23$	5.34976	−	6.37560i	1.11550	−	1.32940i	0.938534	−	0.345188i	$-0.112185\pi$
$24$	−1.71311	−	2.92445i	−0.349687	−	0.596951i
$25$	2.32195	−	0.845121i	0.464390	−	0.169024i
$26$	−0.794284	+	1.21320i	−0.155772	+	0.237927i
$27$	2.73456	+	4.73639i	0.526266	+	0.911519i
$28$	4.64677	−	2.53131i	0.878156	−	0.478373i
$29$	−0.831365	−	0.146592i	−0.154381	−	0.0272215i	0.0959237	−	0.995389i	$-0.469420\pi$
$29$	−0.831365	−	0.146592i	−0.154381	−	0.0272215i	−0.250304	+	0.968167i	$0.580531\pi$
$30$	−2.40576	+	1.21456i	−0.439230	+	0.221747i
$31$	0.714860	+	1.23817i	0.128393	+	0.222383i	0.923054	−	0.384670i	$-0.125685\pi$
$31$	0.714860	+	1.23817i	0.128393	+	0.222383i	−0.794661	+	0.607053i	$0.792352\pi$
$32$	−4.69331	+	3.15799i	−0.829667	+	0.558258i
$33$	−3.70184	+	0.652734i	−0.644407	+	0.113626i
$34$	7.34908	+	1.72546i	1.26036	+	0.295914i
$35$	−1.77851	−	3.81315i	−0.300623	−	0.644540i
$36$	2.60633	−	1.72995i	0.434389	−	0.288325i
$37$	4.07603	−	2.35329i	0.670095	−	0.386879i	−0.126018	−	0.992028i	$-0.540220\pi$
$37$	4.07603	−	2.35329i	0.670095	−	0.386879i	0.796112	+	0.605149i	$0.206886\pi$
$38$	1.10859	+	6.06391i	0.179837	+	0.983696i
$39$	1.06407	+	0.614339i	0.170387	+	0.0983730i
$40$	2.27353	+	3.88115i	0.359477	+	0.613663i
$41$	3.22874	+	3.84786i	0.504245	+	0.600935i	0.956781	−	0.290811i	$-0.0939250\pi$
$41$	3.22874	+	3.84786i	0.504245	+	0.600935i	−0.452536	+	0.891746i	$0.649481\pi$
$42$	−2.36213	−	3.81089i	−0.364484	−	0.588033i
$43$	−3.56447	+	9.79329i	−0.543576	+	1.49346i	0.298663	+	0.954359i	$0.403459\pi$
$43$	−3.56447	+	9.79329i	−0.543576	+	1.49346i	−0.842239	+	0.539104i	$0.818763\pi$
$44$	1.47250	+	6.09861i	0.221988	+	0.919400i
$45$	−1.24369	−	2.15414i	−0.185399	−	0.321120i
$46$	−6.44712	+	9.84739i	−0.950576	+	1.45192i
$47$	1.91386	+	5.25828i	0.279165	+	0.766999i	0.997458	+	0.0712581i	$0.0227014\pi$
$47$	1.91386	+	5.25828i	0.279165	+	0.766999i	−0.718293	+	0.695740i	$0.755076\pi$
$48$	2.89449	+	3.82050i	0.417784	+	0.551442i
$49$	6.06156	−	3.50107i	0.865937	−	0.500153i
$50$	−3.11948	+	1.57488i	−0.441161	+	0.222722i
$51$	1.11071	−	6.29916i	0.155531	−	0.882059i
$52$	0.912651	−	1.83645i	0.126562	−	0.254669i
$53$	−1.64296	−	0.289698i	−0.225678	−	0.0397931i	0.0596656	−	0.998218i	$-0.480997\pi$
$53$	−1.64296	−	0.289698i	−0.225678	−	0.0397931i	−0.285344	+	0.958425i	$0.592108\pi$
$54$	−4.63175	−	6.19430i	−0.630301	−	0.842937i
$55$	4.91285	−	0.866267i	0.662448	−	0.116807i
$56$	−6.10241	+	4.33136i	−0.815468	+	0.578802i
$57$	5.07734	−	1.22582i	0.672510	−	0.162364i
$58$	1.19199	+	0.0669119i	0.156516	+	0.00878597i
$59$	6.61623	+	2.40811i	0.861359	+	0.313509i	0.734663	−	0.678432i	$-0.237340\pi$
$59$	6.61623	+	2.40811i	0.861359	+	0.313509i	0.126696	+	0.991942i	$0.459563\pi$
$60$	3.17543	−	2.10769i	0.409946	−	0.272101i
$61$	−0.639972	−	0.537001i	−0.0819401	−	0.0687559i	0.600898	−	0.799326i	$-0.294810\pi$
$61$	−0.639972	−	0.537001i	−0.0819401	−	0.0687559i	−0.682838	+	0.730570i	$0.739254\pi$
$62$	−1.21082	−	1.61930i	−0.153774	−	0.205651i
$63$	3.38963	−	2.37389i	0.427054	−	0.299082i
$64$	6.06302	−	5.21917i	0.757878	−	0.652396i
$65$	−1.41216	−	0.815312i	−0.175157	−	0.101127i
$66$	5.08941	−	1.53533i	0.626463	−	0.188986i
$67$	3.41411	+	2.86478i	0.417100	+	0.349988i	0.827059	−	0.562116i	$-0.190012\pi$
$67$	3.41411	+	2.86478i	0.417100	+	0.349988i	−0.409959	+	0.912104i	$0.634457\pi$
$68$	−10.6087	−	1.19480i	−1.28650	−	0.144891i
$69$	8.63692	+	4.98653i	1.03976	+	0.600308i
$70$	3.13487	+	5.05757i	0.374688	+	0.604495i
$71$	9.83100	+	3.57819i	1.16672	+	0.424653i	0.851495	−	0.524362i	$-0.175696\pi$
$71$	9.83100	+	3.57819i	1.16672	+	0.424653i	0.315230	+	0.949015i	$0.397918\pi$
$72$	−3.37095	+	2.86498i	−0.397270	+	0.337641i
$73$	−2.92928	−	16.6128i	−0.342846	−	1.94438i	−0.328574	−	0.944478i	$-0.606568\pi$
$73$	−2.92928	−	16.6128i	−0.342846	−	1.94438i	−0.0142717	−	0.999898i	$-0.504543\pi$
$74$	−5.33066	+	3.98597i	−0.619677	+	0.463360i
$75$	1.48047	+	2.56424i	0.170950	+	0.296093i
$76$	−2.57027	−	8.33029i	−0.294830	−	0.955550i
$77$	2.14878	+	8.01654i	0.244877	+	0.913570i
$78$	−1.59695	−	0.684879i	−0.180819	−	0.0775473i
$79$	−4.12796	−	1.50246i	−0.464432	−	0.169040i	0.0991963	−	0.995068i	$-0.468373\pi$
$79$	−4.12796	−	1.50246i	−0.464432	−	0.169040i	−0.563629	+	0.826028i	$0.690595\pi$
$80$	−3.84139	−	5.07033i	−0.429480	−	0.566880i
$81$	−1.42581	+	1.19640i	−0.158423	+	0.132933i
$82$	−5.17723	−	4.86394i	−0.571730	−	0.537132i
$83$	−3.17167	−	1.83117i	−0.348136	−	0.200997i	0.315728	−	0.948850i	$-0.397751\pi$
$83$	−3.17167	−	1.83117i	−0.348136	−	0.200997i	−0.663864	+	0.747853i	$0.731085\pi$
$84$	3.95407	+	4.95686i	0.431424	+	0.540837i
$85$	−1.47407	+	8.35985i	−0.159885	+	0.906753i
$86$	3.36882	−	14.3485i	0.363269	−	1.54724i
$87$		−	1.01158i		−	0.108453i
$88$	−3.08711	−	8.31819i	−0.329087	−	0.886722i
$89$	−11.0611	−	1.95037i	−1.17247	−	0.206739i	−0.446708	−	0.894680i	$-0.647404\pi$
$89$	−11.0611	−	1.95037i	−1.17247	−	0.206739i	−0.725767	+	0.687941i	$0.758515\pi$
$90$	2.10655	+	2.81720i	0.222049	+	0.296959i
$91$	1.14628	−	2.45878i	0.120163	−	0.257750i
$92$	7.40790	−	14.9062i	0.772327	−	1.55408i
$93$	−1.31240	+	1.10124i	−0.136090	+	0.114193i
$94$	−3.56646	−	7.06435i	−0.367852	−	0.728632i
$95$	−6.73832	+	1.62683i	−0.691337	+	0.166910i
$96$	−4.70327	−	4.88138i	−0.480026	−	0.498204i
$97$	−11.2618	+	1.98576i	−1.14346	+	0.201623i	−0.713120	−	0.701042i	$-0.752718\pi$
$97$	−11.2618	+	1.98576i	−1.14346	+	0.201623i	−0.430343	+	0.902665i	$0.641607\pi$
$98$	−7.92713	+	5.92964i	−0.800761	+	0.598984i
$99$	1.67812	+	4.61059i	0.168657	+	0.463382i
$100$	4.11748	−	2.73297i	0.411748	−	0.273297i
$101$	7.33511	−	2.66976i	0.729871	−	0.265651i	0.0497606	−	0.998761i	$-0.484154\pi$
$101$	7.33511	−	2.66976i	0.729871	−	0.265651i	0.680110	+	0.733110i	$0.261932\pi$
$102$	−0.506985	+	9.03157i	−0.0501990	+	0.894259i
$103$	−2.56039	+	4.43473i	−0.252283	+	0.436967i	−0.964154	−	0.265343i	$-0.914515\pi$
$103$	−2.56039	+	4.43473i	−0.252283	+	0.436967i	0.711871	+	0.702310i	$0.247848\pi$
$104$	−0.974710	+	2.73146i	−0.0955782	+	0.267842i
$105$	4.12976	−	2.89223i	0.403024	−	0.282253i
$106$	2.35563	+	0.132233i	0.228799	+	0.0128436i
$107$	−15.6006			−1.50816			−0.754082	−	0.656780i	$-0.771918\pi$
$107$	−15.6006			−1.50816			−0.754082	+	0.656780i	$0.771918\pi$
$108$	7.53964	+	7.92456i	0.725503	+	0.762541i
$109$	12.3707	+	14.7428i	1.18489	+	1.41210i	0.889627	+	0.456688i	$0.150965\pi$
$109$	12.3707	+	14.7428i	1.18489	+	1.41210i	0.295268	+	0.955414i	$0.404591\pi$
$110$	−6.75434	+	2.03760i	−0.644001	+	0.194277i
$111$	3.62523	+	4.32038i	0.344091	+	0.410072i
$112$	7.84572	−	7.10244i	0.741351	−	0.671118i
$113$		−	9.87870i		−	0.929310i	−0.885492	−	0.464655i	$-0.846178\pi$
$113$		−	9.87870i		−	0.929310i	0.885492	−	0.464655i	$-0.153822\pi$
$114$	−6.92525	+	2.57001i	−0.648609	+	0.240704i
$115$	−11.4624	−	6.61781i	−1.06887	−	0.617114i
$116$	−1.68510	+	0.105255i	−0.156457	+	0.00977266i
$117$	0.548523	−	1.50705i	0.0507109	−	0.139327i
$118$	−9.69366	−	2.27593i	−0.892374	−	0.209517i
$119$	−14.0691	−	1.22964i	−1.28971	−	0.112721i
$120$	−4.10700	+	3.49055i	−0.374916	+	0.318642i
$121$	1.15968			0.105425
$122$	0.988465	+	0.647152i	0.0894914	+	0.0585904i
$123$	−3.86896	+	4.61085i	−0.348853	+	0.415746i
$124$	1.97099	+	2.07162i	0.177000	+	0.186037i
$125$	−5.94051	−	10.2893i	−0.531336	−	0.920300i
$126$	−4.36332	+	3.90018i	−0.388715	+	0.347456i
$127$	−4.12023	−	3.45728i	−0.365611	−	0.306784i	0.441411	−	0.897305i	$-0.354478\pi$
$127$	−4.12023	−	3.45728i	−0.365611	−	0.306784i	−0.807023	+	0.590521i	$0.798922\pi$
$128$	−7.64203	+	8.34262i	−0.675466	+	0.737391i
$129$	−12.2986	−	2.16857i	−1.08283	−	0.190932i
$130$	2.11937	+	0.908928i	0.185881	+	0.0797183i
$131$	4.03957	+	4.81417i	0.352939	+	0.420616i	0.913080	−	0.407781i	$-0.133697\pi$
$131$	4.03957	+	4.81417i	0.352939	+	0.420616i	−0.560141	+	0.828398i	$0.689253\pi$
$132$	−6.89047	+	3.00667i	−0.599738	+	0.261697i
$133$	−3.67426	−	10.9316i	−0.318599	−	0.947890i
$134$	−5.27324	−	3.45241i	−0.455538	−	0.298243i
$135$	6.66266	−	5.59064i	0.573431	−	0.481166i
$136$	15.0975	−	0.0951952i	1.29460	−	0.00816292i
$137$	−0.448582	+	2.54403i	−0.0383249	+	0.217351i	−0.997956	−	0.0639119i	$-0.979642\pi$
$137$	−0.448582	+	2.54403i	−0.0383249	+	0.217351i	0.959631	+	0.281263i	$0.0907535\pi$
$138$	−12.9623	−	5.55909i	−1.10342	−	0.473221i
$139$	1.36193	−	1.62308i	0.115517	−	0.137668i	−0.705187	−	0.709021i	$-0.749137\pi$
$139$	1.36193	−	1.62308i	0.115517	−	0.137668i	0.820704	+	0.571353i	$0.193581\pi$
$140$	−5.24758	−	6.57843i	−0.443502	−	0.555979i
$141$	−5.80697	+	3.35266i	−0.489035	+	0.282345i
$142$	−14.4037	−	3.38179i	−1.20873	−	0.283793i
$143$	2.46397	+	2.06752i	0.206048	+	0.172894i
$144$	4.25501	−	4.58669i	0.354584	−	0.382224i
$145$			1.34251i			0.111489i
$146$	6.89012	+	22.8398i	0.570230	+	1.89023i
$147$	5.39285	+	6.42464i	0.444794	+	0.529896i
$148$	6.81968	−	6.48844i	0.560575	−	0.533346i
$149$	−3.22278	−	1.17300i	−0.264020	−	0.0960956i	0.206618	−	0.978422i	$-0.433754\pi$
$149$	−3.22278	−	1.17300i	−0.264020	−	0.0960956i	−0.470639	+	0.882326i	$0.655976\pi$
$150$	−2.50759	−	3.35354i	−0.204744	−	0.273816i
$151$	−9.10822	+	15.7759i	−0.741216	+	1.28382i	0.210726	+	0.977545i	$0.432417\pi$
$151$	−9.10822	+	15.7759i	−0.741216	+	1.28382i	−0.951942	+	0.306279i	$0.900916\pi$
$152$	5.00170	+	11.2687i	0.405691	+	0.914010i
$153$	−8.34903			−0.674979
$154$	−4.35736	−	10.8985i	−0.351126	−	0.878228i
$155$	1.74174	−	1.46149i	0.139900	−	0.117390i
$156$	2.35706	+	0.694876i	0.188716	+	0.0556346i
$157$	−14.4299	+	12.1081i	−1.15163	+	0.966330i	−0.999756	−	0.0220701i	$-0.992974\pi$
$157$	−14.4299	+	12.1081i	−1.15163	+	0.966330i	−0.151871	+	0.988400i	$0.548530\pi$
$158$	6.04802	+	1.41999i	0.481155	+	0.112968i
$159$		−	1.99911i		−	0.158540i
$160$	6.24189	+	6.47826i	0.493465	+	0.512151i
$161$	9.30427	−	19.9577i	0.733279	−	1.57288i
$162$	1.80231	−	1.91840i	0.141603	−	0.150724i
$163$	−11.5770	−	6.68398i	−0.906780	−	0.523530i	−0.0273865	−	0.999625i	$-0.508718\pi$
$163$	−11.5770	−	6.68398i	−0.906780	−	0.523530i	−0.879394	+	0.476095i	$0.842052\pi$
$164$	8.08332	+	5.96516i	0.631201	+	0.465801i
$165$	2.04454	+	5.61732i	0.159167	+	0.437307i
$166$	4.76004	+	2.04142i	0.369450	+	0.158445i
$167$	−5.63784	+	2.05201i	−0.436269	+	0.158789i	−0.550812	−	0.834629i	$-0.685682\pi$
$167$	−5.63784	+	2.05201i	−0.436269	+	0.158789i	0.114543	+	0.993418i	$0.463460\pi$
$168$	−6.38115	−	6.30008i	−0.492317	−	0.486062i
$169$	2.07486	+	11.7671i	0.159604	+	0.905162i
$170$	0.672838	−	11.9861i	0.0516043	−	0.919294i
$171$	−2.72656	−	6.24883i	−0.208506	−	0.477860i
$172$	−2.33275	+	20.7127i	−0.177871	+	1.57933i
$173$	−10.4763	−	12.4852i	−0.796502	−	0.949234i	0.203050	−	0.979168i	$-0.434914\pi$
$173$	−10.4763	−	12.4852i	−0.796502	−	0.949234i	−0.999552	+	0.0299347i	$0.990470\pi$
$174$	0.169068	+	1.42057i	0.0128170	+	0.107693i
$175$	5.35493	−	3.75027i	0.404795	−	0.283494i
$176$	5.72547	+	11.1653i	0.431574	+	0.841617i
$177$	−1.46506	+	8.30878i	−0.110121	+	0.624526i
$178$	15.8591	+	0.890247i	1.18869	+	0.0667268i
$179$	−26.6687			−1.99331			−0.996656	−	0.0817101i	$-0.973962\pi$
$179$	−26.6687			−1.99331			−0.996656	+	0.0817101i	$0.973962\pi$
$180$	−3.42907	−	3.60413i	−0.255588	−	0.268636i
$181$	5.09158	+	0.897782i	0.378454	+	0.0667316i	0.359639	−	0.933091i	$-0.382900\pi$
$181$	5.09158	+	0.897782i	0.378454	+	0.0667316i	0.0188145	+	0.999823i	$0.494011\pi$
$182$	−1.19879	+	3.64445i	−0.0888602	+	0.270145i
$183$	0.500540	−	0.866960i	0.0370010	−	0.0640875i
$184$	−7.91162	+	22.1710i	−0.583252	+	1.63447i
$185$	−4.81117	−	5.73373i	−0.353724	−	0.421552i
$186$	1.65896	−	1.76581i	0.121641	−	0.129476i
$187$	5.72699	−	15.7348i	0.418799	−	1.15064i
$188$	6.18907	+	9.32441i	0.451384	+	0.680053i
$189$	10.2327	+	10.2309i	0.744318	+	0.744187i
$190$	9.19075	−	3.41076i	0.666767	−	0.247442i
$191$	−6.35322	+	3.66803i	−0.459703	+	0.265409i	−0.711919	−	0.702261i	$-0.752174\pi$
$191$	−6.35322	+	3.66803i	−0.459703	+	0.265409i	0.252217	+	0.967671i	$0.418840\pi$
$192$	7.42066	+	6.06887i	0.535540	+	0.437983i
$193$	19.9221	−	3.51280i	1.43402	−	0.252857i	0.597976	−	0.801514i	$-0.295972\pi$
$193$	19.9221	−	3.51280i	1.43402	−	0.252857i	0.836048	+	0.548657i	$0.184861\pi$
$194$	15.4831	−	4.67082i	1.11162	−	0.335345i
$195$	0.668293	−	1.83612i	0.0478575	−	0.131487i
$196$	10.1411	−	9.65189i	0.724361	−	0.689421i
$197$	−4.82608	+	8.35902i	−0.343844	+	0.595555i	−0.985143	−	0.171736i	$-0.945062\pi$
$197$	−4.82608	+	8.35902i	−0.343844	+	0.595555i	0.641299	+	0.767291i	$0.278396\pi$
$198$	−3.12716	−	6.19420i	−0.222238	−	0.440202i
$199$	4.92766	−	5.87255i	0.349312	−	0.416294i	−0.562568	−	0.826751i	$-0.690186\pi$
$199$	4.92766	−	5.87255i	0.349312	−	0.416294i	0.911880	+	0.410457i	$0.134631\pi$
$200$	−5.32542	+	4.52608i	−0.376564	+	0.320042i
$201$	−2.67027	+	4.62504i	−0.188346	+	0.326225i
$202$	−9.85452	+	4.97509i	−0.693361	+	0.350046i
$203$	−2.22500	+	0.194860i	−0.156164	+	0.0136765i
$204$	−0.797504	−	12.7678i	−0.0558365	−	0.893924i
$205$	5.13464	−	6.11923i	0.358619	−	0.427385i
$206$	2.85438	−	6.65563i	0.198874	−	0.463719i
$207$	4.45230	−	12.2326i	0.309456	−	0.850224i
$208$	0.912274	−	3.99870i	0.0632548	−	0.277260i
$209$	13.6470	−	0.852181i	0.943981	−	0.0589466i
$210$	−5.31605	+	4.75179i	−0.366843	+	0.327904i
$211$	0.235902	+	1.33787i	0.0162402	+	0.0921026i	0.991851	−	0.127407i	$-0.0406654\pi$
$211$	0.235902	+	1.33787i	0.0162402	+	0.0921026i	−0.975610	+	0.219510i	$0.929554\pi$
$212$	−3.33012	+	0.208007i	−0.228714	+	0.0142860i
$213$	−2.17692	+	12.3460i	−0.149160	+	0.845931i
$214$	21.9079	−	2.60735i	1.49759	−	0.178235i
$215$	16.3219	+	2.87800i	1.11315	+	0.196278i
$216$	−11.9124	−	9.86836i	−0.810536	−	0.671457i
$217$	2.67500	+	2.67453i	0.181591	+	0.181559i
$218$	−19.8362	−	18.6358i	−1.34347	−	1.26218i
$219$	18.9949	−	6.91359i	1.28356	−	0.467177i
$220$	9.14460	−	3.99027i	0.616529	−	0.269024i
$221$	−4.73999	+	2.73664i	−0.318846	+	0.184086i
$222$	−5.81299	−	5.46123i	−0.390142	−	0.366534i
$223$	−20.6585	−	7.51907i	−1.38339	−	0.503514i	−0.460188	−	0.887821i	$-0.652218\pi$
$223$	−20.6585	−	7.51907i	−1.38339	−	0.503514i	−0.923205	+	0.384307i	$0.874440\pi$
$224$	−9.83072	+	11.2853i	−0.656843	+	0.754028i
$225$	2.96065	−	2.48428i	0.197377	−	0.165619i
$226$	1.65105	+	13.8727i	0.109826	+	0.922797i
$227$	−4.25466	+	7.36929i	−0.282392	+	0.489117i	−0.971973	−	0.235091i	$-0.924461\pi$
$227$	−4.25466	+	7.36929i	−0.282392	+	0.489117i	0.689581	+	0.724208i	$0.257795\pi$
$228$	9.29561	−	4.76650i	0.615617	−	0.315669i
$229$	10.0710	+	17.4435i	0.665510	+	1.15270i	0.979147	+	0.203154i	$0.0651193\pi$
$229$	10.0710	+	17.4435i	0.665510	+	1.15270i	−0.313637	+	0.949543i	$0.601547\pi$
$230$	17.2027	+	7.37767i	1.13431	+	0.486469i
$231$	−9.01307	+	4.20383i	−0.593017	+	0.276592i
$232$	2.34879	−	0.429443i	0.154206	−	0.0281943i
$233$	0.875203	+	4.96352i	0.0573364	+	0.325171i	0.999962	−	0.00867984i	$-0.00276291\pi$
$233$	0.875203	+	4.96352i	0.0573364	+	0.325171i	−0.942626	+	0.333851i	$0.891652\pi$
$234$	−0.518415	+	2.20804i	−0.0338899	+	0.144344i
$235$	7.70664	−	4.44943i	0.502726	−	0.290249i
$236$	13.9932	+	1.57598i	0.910881	+	0.102587i
$237$	0.914075	−	5.18398i	0.0593755	−	0.336735i
$238$	19.9628	−	0.624614i	1.29400	−	0.0404877i
$239$	18.3297	−	10.5826i	1.18565	−	0.684533i	0.228333	−	0.973583i	$-0.426673\pi$
$239$	18.3297	−	10.5826i	1.18565	−	0.684533i	0.957314	+	0.289050i	$0.0933393\pi$
$240$	5.18409	−	5.58820i	0.334632	−	0.360717i
$241$	−2.99696	−	8.23407i	−0.193051	−	0.530403i	0.804968	−	0.593318i	$-0.202182\pi$
$241$	−2.99696	−	8.23407i	−0.193051	−	0.530403i	−0.998019	+	0.0629153i	$0.979960\pi$
$242$	−1.62854	+	0.193819i	−0.104687	+	0.0124592i
$243$	10.8602	+	9.11281i	0.696684	+	0.584587i
$244$	−1.49626	−	0.743593i	−0.0957885	−	0.0476036i
$245$	−7.15704	−	8.52638i	−0.457247	−	0.544731i
$246$	4.66257	−	7.12166i	0.297275	−	0.454060i
$247$	−3.59619	−	2.65394i	−0.228820	−	0.168866i
$248$	−3.11410	−	2.57976i	−0.197746	−	0.163815i
$249$	1.50097	−	4.12387i	0.0951198	−	0.261340i
$250$	10.0619	+	13.4564i	0.636373	+	0.851058i
$251$	−6.15902	−	16.9218i	−0.388754	−	1.06809i	−0.967563	−	0.252630i	$-0.918704\pi$
$251$	−6.15902	−	16.9218i	−0.388754	−	1.06809i	0.578809	−	0.815463i	$-0.303518\pi$
$252$	5.47558	−	6.20628i	0.344929	−	0.390959i
$253$	19.9998	+	16.7818i	1.25738	+	1.05506i
$254$	6.36387	+	4.16645i	0.399305	+	0.261426i
$255$	−10.1720			−0.636998
$256$	9.33741	−	12.9928i	0.583588	−	0.812050i
$257$	2.18472	+	6.00248i	0.136279	+	0.374424i	0.988995	−	0.147952i	$-0.0472680\pi$
$257$	2.18472	+	6.00248i	0.136279	+	0.374424i	−0.852715	+	0.522376i	$0.825046\pi$
$258$	17.6334	+	0.989846i	1.09781	+	0.0616251i
$259$	8.80445	−	8.80600i	0.547082	−	0.547178i
$260$	−3.12815	−	0.922196i	−0.193999	−	0.0571922i
$261$	−1.30034	+	0.229285i	−0.0804891	+	0.0141924i
$262$	−6.47739	−	6.08542i	−0.400174	−	0.375958i
$263$	12.6910	−	2.23776i	0.782558	−	0.137986i	0.231925	−	0.972734i	$-0.425498\pi$
$263$	12.6910	−	2.23776i	0.782558	−	0.137986i	0.550633	+	0.834748i	$0.314386\pi$
$264$	9.17380	−	5.37390i	0.564608	−	0.330741i
$265$			2.65309i			0.162978i
$266$	6.98680	+	14.7372i	0.428388	+	0.903595i
$267$		−	13.4589i		−	0.823669i
$268$	7.98223	+	3.96690i	0.487592	+	0.242317i
$269$	6.41784	−	1.13164i	0.391303	−	0.0689972i	0.0254646	−	0.999676i	$-0.491893\pi$
$269$	6.41784	−	1.13164i	0.391303	−	0.0689972i	0.365838	+	0.930678i	$0.380782\pi$
$270$	−8.42202	+	8.96450i	−0.512548	+	0.545562i
$271$	−28.7359	+	5.06692i	−1.74558	+	0.307793i	−0.953225	−	0.302263i	$-0.902258\pi$
$271$	−28.7359	+	5.06692i	−1.74558	+	0.307793i	−0.792358	+	0.610056i	$0.791147\pi$
$272$	−21.1856	+	2.65697i	−1.28457	+	0.161102i
$273$	3.14008	+	0.841087i	0.190047	+	0.0509049i
$274$	0.204755	−	3.64757i	0.0123697	−	0.220358i
$275$	2.65109	+	7.28380i	0.159866	+	0.439230i
$276$	19.1320	+	5.64024i	1.15161	+	0.339502i
$277$	−21.9557			−1.31919			−0.659594	−	0.751622i	$-0.729272\pi$
$277$	−21.9557			−1.31919			−0.659594	+	0.751622i	$0.729272\pi$
$278$	−1.64129	+	2.50693i	−0.0984382	+	0.150355i
$279$	1.71305	+	1.43742i	0.102558	+	0.0860563i
$280$	8.46867	+	8.36106i	0.506100	+	0.499669i
$281$	−3.99663	−	10.9806i	−0.238419	−	0.655050i	−0.999976	−	0.00695239i	$-0.997787\pi$
$281$	−3.99663	−	10.9806i	−0.238419	−	0.655050i	0.761557	−	0.648098i	$-0.224435\pi$
$282$	7.59441	−	5.67868i	0.452241	−	0.338160i
$283$	−2.98516	+	8.20167i	−0.177450	+	0.487539i	−0.996248	−	0.0865421i	$-0.972418\pi$
$283$	−2.98516	+	8.20167i	−0.177450	+	0.487539i	0.818799	+	0.574081i	$0.194641\pi$
$284$	20.7924	+	2.34173i	1.23380	+	0.138956i
$285$	−3.32191	−	7.61327i	−0.196773	−	0.450971i
$286$	−3.80571	−	2.49161i	−0.225036	−	0.147332i
$287$	10.8869	+	7.62169i	0.642636	+	0.449894i
$288$	−5.20874	+	7.15225i	−0.306928	+	0.421450i
$289$	8.80425	+	7.38764i	0.517897	+	0.434567i
$290$	−0.224376	−	1.88529i	−0.0131758	−	0.110708i
$291$	−4.68672	−	12.8767i	−0.274741	−	0.754844i
$292$	−13.4931	−	30.9224i	−0.789622	−	1.80960i
$293$	−15.2881	+	8.82656i	−0.893138	+	0.515653i	−0.874968	−	0.484182i	$-0.839117\pi$
$293$	−15.2881	+	8.82656i	−0.893138	+	0.515653i	−0.0181703	+	0.999835i	$0.505784\pi$
$294$	−8.64695	−	8.12083i	−0.504301	−	0.473616i
$295$	1.94434	−	11.0269i	0.113204	−	0.642010i
$296$	−8.49248	+	10.2515i	−0.493615	+	0.595858i
$297$	−14.8577	+	8.57811i	−0.862132	+	0.497752i
$298$	4.72181	+	1.10861i	0.273527	+	0.0642202i
$299$	−1.48188	−	8.40418i	−0.0856996	−	0.486026i
$300$	4.08190	+	4.29029i	0.235669	+	0.247700i
$301$	−2.40077	+	27.4688i	−0.138378	+	1.58327i
$302$	10.1540	−	23.6764i	0.584299	−	1.36242i
$303$	4.67684	+	8.10052i	0.268677	+	0.465363i
$304$	−8.90725	−	14.9887i	−0.510866	−	0.859660i
$305$	−0.664285	+	1.15057i	−0.0380368	+	0.0658817i
$306$	11.7246	−	1.39539i	0.670249	−	0.0797691i
$307$	−6.92266	+	5.80880i	−0.395097	+	0.331526i	−0.818595	−	0.574371i	$-0.805247\pi$
$307$	−6.92266	+	5.80880i	−0.395097	+	0.331526i	0.423498	+	0.905897i	$0.360802\pi$
$308$	7.94055	+	14.5766i	0.452455	+	0.830578i
$309$	−5.76612	−	2.09870i	−0.328023	−	0.119391i
$310$	−2.20166	+	2.34347i	−0.125046	+	0.133100i
$311$	−16.5492	+	9.55468i	−0.938419	+	0.541796i	−0.889464	−	0.457005i	$-0.848922\pi$
$311$	−16.5492	+	9.55468i	−0.938419	+	0.541796i	−0.0489546	+	0.998801i	$0.515589\pi$
$312$	−3.42617	−	0.581876i	−0.193969	−	0.0329422i
$313$	−20.8404	+	7.58527i	−1.17797	+	0.428745i	−0.855484	−	0.517830i	$-0.826740\pi$
$313$	−20.8404	+	7.58527i	−1.17797	+	0.428745i	−0.322484	+	0.946575i	$0.604518\pi$
$314$	18.2402	−	19.4151i	1.02936	−	1.09566i
$315$	−4.65388	−	4.65306i	−0.262216	−	0.262170i
$316$	−8.73058	−	0.983276i	−0.491134	−	0.0553136i
$317$	25.0862	+	4.42338i	1.40898	+	0.248442i	0.825829	−	0.563920i	$-0.190708\pi$
$317$	25.0862	+	4.42338i	1.40898	+	0.248442i	0.583153	+	0.812362i	$0.301819\pi$
$318$	0.334115	+	2.80736i	0.0187363	+	0.157429i
$319$	0.459849	−	2.60793i	0.0257466	−	0.146016i
$320$	−9.84823	−	8.05421i	−0.550533	−	0.450244i
$321$	−3.24618	−	18.4100i	−0.181184	−	1.02754i
$322$	−9.73045	+	29.5816i	−0.542257	+	1.64852i
$323$	−6.57979	+	22.3176i	−0.366109	+	1.24179i
$324$	−2.21036	+	2.99524i	−0.122798	+	0.166402i
$325$	0.866555	−	2.38084i	0.0480678	−	0.132065i
$326$	17.3747	+	7.45145i	0.962297	+	0.412698i
$327$	−14.8236	+	17.6661i	−0.819748	+	0.976938i
$328$	−12.3484	−	7.02592i	−0.681827	−	0.387941i
$329$	8.49283	+	12.1267i	0.468225	+	0.668569i
$330$	−3.80998	−	7.54671i	−0.209733	−	0.415432i
$331$	−0.822800	+	1.42513i	−0.0452252	+	0.0783323i	−0.887752	−	0.460322i	$-0.847734\pi$
$331$	−0.822800	+	1.42513i	−0.0452252	+	0.0783323i	0.842527	+	0.538655i	$0.181067\pi$
$332$	−7.02572	−	2.07122i	−0.385586	−	0.113673i
$333$	4.73195	−	5.63931i	0.259309	−	0.309032i
$334$	7.57428	−	3.82390i	0.414446	−	0.209235i
$335$	3.54381	−	6.13806i	0.193619	−	0.335358i
$336$	10.0140	+	7.78072i	0.546310	+	0.424473i
$337$	−4.57729	+	12.5760i	−0.249341	+	0.685059i	0.750370	+	0.661018i	$0.229875\pi$
$337$	−4.57729	+	12.5760i	−0.249341	+	0.685059i	−0.999711	+	0.0240408i	$0.992347\pi$
$338$	−4.88039	−	16.1778i	−0.265458	−	0.879957i
$339$	11.6577	−	2.05557i	0.633159	−	0.111643i
$340$	1.05840	+	16.9446i	0.0573997	+	0.918950i
$341$	−3.88406	+	2.24247i	−0.210334	+	0.121436i
$342$	4.87330	+	8.31956i	0.263518	+	0.449870i
$343$	13.0923	−	13.0993i	0.706920	−	0.707294i
$344$	−0.185861	−	29.4767i	−0.0100209	−	1.58928i
$345$	5.42447	−	14.9036i	0.292043	−	0.802383i
$346$	16.7986	+	15.7821i	0.903100	+	0.848451i
$347$	10.3864	+	12.3780i	0.557569	+	0.664484i	0.969030	−	0.246943i	$-0.0794260\pi$
$347$	10.3864	+	12.3780i	0.557569	+	0.664484i	−0.411461	+	0.911427i	$0.634982\pi$
$348$	−0.474845	−	1.96665i	−0.0254544	−	0.105424i
$349$	−6.95832	+	12.0522i	−0.372470	+	0.645137i	−0.989945	−	0.141453i	$-0.954822\pi$
$349$	−6.95832	+	12.0522i	−0.372470	+	0.645137i	0.617475	+	0.786591i	$0.288156\pi$
$350$	−6.89316	+	6.16149i	−0.368455	+	0.329346i
$351$	5.52262	+	0.973788i	0.294776	+	0.0519769i
$352$	−9.90638	−	14.7226i	−0.528012	−	0.784715i
$353$	17.7049			0.942335			0.471168	−	0.882044i	$-0.343833\pi$
$353$	17.7049			0.942335			0.471168	+	0.882044i	$0.343833\pi$
$354$	0.668728	−	11.9129i	0.0355425	−	0.633164i
$355$	2.88908	−	16.3848i	0.153336	−	0.869613i
$356$	−22.4198	+	1.40039i	−1.18825	+	0.0742204i
$357$	−1.47643	−	16.8586i	−0.0781411	−	0.892251i
$358$	37.4509	−	4.45719i	1.97934	−	0.235570i
$359$	5.47325	+	6.52276i	0.288867	+	0.344258i	0.890889	−	0.454221i	$-0.150082\pi$
$359$	5.47325	+	6.52276i	0.288867	+	0.344258i	−0.602022	+	0.798480i	$0.705638\pi$
$360$	5.41782	+	4.48819i	0.285544	+	0.236548i
$361$	−18.8524	+	2.36368i	−0.992232	+	0.124404i
$362$	−7.30016	−	0.409793i	−0.383688	−	0.0215382i
$363$	0.241307	+	1.36852i	0.0126653	+	0.0718286i
$364$	1.07436	−	5.31827i	0.0563117	−	0.278753i
$365$	−25.2089	+	9.17527i	−1.31949	+	0.480256i
$366$	−0.558013	+	1.30113i	−0.0291678	+	0.0680112i
$367$	−3.02701	−	8.31663i	−0.158008	−	0.434125i	0.835275	−	0.549833i	$-0.185309\pi$
$367$	−3.02701	−	8.31663i	−0.158008	−	0.434125i	−0.993283	+	0.115708i	$0.963086\pi$
$368$	7.40483	−	32.4570i	0.386004	−	1.69194i
$369$	6.80397	+	3.92827i	0.354200	+	0.204498i
$370$	7.71463	+	7.24779i	0.401065	+	0.376795i
$371$	−4.39709	+	0.385086i	−0.228286	+	0.0199927i
$372$	−2.03455	+	2.75700i	−0.105487	+	0.142944i
$373$		−	23.6791i		−	1.22606i	−0.790061	−	0.613028i	$-0.789951\pi$
$373$		−	23.6791i		−	1.22606i	0.790061	−	0.613028i	$-0.210049\pi$
$374$	−5.41264	+	23.0536i	−0.279881	+	1.19207i
$375$	10.9061	−	9.15130i	0.563188	−	0.472571i
$376$	−10.2497	−	12.0599i	−0.528590	−	0.621942i
$377$	−0.663088	+	0.556397i	−0.0341508	+	0.0286559i
$378$	−16.0797	−	12.6570i	−0.827050	−	0.651008i
$379$	16.7582			0.860811			0.430406	−	0.902636i	$-0.358371\pi$
$379$	16.7582			0.860811			0.430406	+	0.902636i	$0.358371\pi$
$380$	−12.3366	+	6.32580i	−0.632852	+	0.324507i
$381$	3.22254	−	5.58161i	0.165096	−	0.285955i
$382$	8.30879	−	6.21285i	0.425115	−	0.317877i
$383$	26.0532	+	9.48260i	1.33126	+	0.484538i	0.907048	−	0.421026i	$-0.138330\pi$
$383$	26.0532	+	9.48260i	1.33126	+	0.484538i	0.424209	+	0.905564i	$0.360552\pi$
$384$	−11.4352	−	7.28230i	−0.583548	−	0.371623i
$385$	11.9616	−	5.57906i	0.609619	−	0.284335i
$386$	−27.3896	+	8.26266i	−1.39409	+	0.420558i
$387$			16.3008i			0.828616i
$388$	−20.9623	+	9.14696i	−1.06420	+	0.464367i
$389$	14.4699	+	12.1417i	0.733654	+	0.615609i	0.931125	−	0.364700i	$-0.118828\pi$
$389$	14.4699	+	12.1417i	0.733654	+	0.615609i	−0.197471	+	0.980309i	$0.563273\pi$
$390$	−0.631612	+	2.69016i	−0.0319829	+	0.136222i
$391$	−38.4740	+	22.2130i	−1.94572	+	1.12336i
$392$	−12.6280	+	15.2491i	−0.637809	+	0.770195i
$393$	−4.84057	+	5.76877i	−0.244175	+	0.290996i
$394$	5.38022	−	12.5452i	0.271052	−	0.632017i
$395$	−1.21310	+	6.87984i	−0.0610378	+	0.346163i
$396$	5.42673	+	8.17588i	0.272704	+	0.410853i
$397$	−22.3405	+	18.7459i	−1.12124	+	0.940830i	−0.998666	−	0.0516294i	$-0.983559\pi$
$397$	−22.3405	+	18.7459i	−1.12124	+	0.940830i	−0.122572	+	0.992460i	$0.539114\pi$
$398$	−5.93843	+	9.07041i	−0.297667	+	0.454659i
$399$	12.1357	−	6.61059i	0.607543	−	0.330944i
$400$	6.72205	−	7.24604i	0.336103	−	0.362302i
$401$	−10.8763	−	12.9619i	−0.543138	−	0.647287i	0.422750	−	0.906246i	$-0.361065\pi$
$401$	−10.8763	−	12.9619i	−0.543138	−	0.647287i	−0.965888	+	0.258959i	$0.916620\pi$
$402$	2.97687	−	6.94124i	0.148473	−	0.346198i
$403$	1.44371	+	0.254565i	0.0719163	+	0.0126808i
$404$	13.0072	−	8.63353i	0.647134	−	0.429534i
$405$	2.26745	+	1.90262i	0.112671	+	0.0945419i
$406$	3.09201	−	0.645511i	0.153454	−	0.0320362i
$407$	7.38212	+	12.7862i	0.365918	+	0.633789i
$408$	3.25384	+	17.7966i	0.161089	+	0.881061i
$409$	23.7779	−	28.3374i	1.17574	−	1.40120i	0.278054	−	0.960565i	$-0.410311\pi$
$409$	23.7779	−	28.3374i	1.17574	−	1.40120i	0.897689	−	0.440630i	$-0.145245\pi$
$410$	−6.18787	+	9.45141i	−0.305597	+	0.466772i
$411$	−3.09551			−0.152690
$412$	−2.89605	+	9.82357i	−0.142678	+	0.483973i
$413$	18.5576	+	1.62193i	0.913158	+	0.0798099i
$414$	−4.20792	+	17.9224i	−0.206808	+	0.880838i
$415$	−1.99199	+	5.47294i	−0.0977828	+	0.268656i
$416$	−0.612798	+	5.76786i	−0.0300449	+	0.282793i
$417$	2.19877	+	1.26946i	0.107674	+	0.0621657i
$418$	−19.0221	+	3.47757i	−0.930399	+	0.170093i
$419$		−	7.10344i		−	0.347026i	−0.984832	−	0.173513i	$-0.944488\pi$
$419$		−	7.10344i		−	0.347026i	0.984832	−	0.173513i	$-0.0555118\pi$
$420$	6.67117	−	7.56143i	0.325520	−	0.368960i
$421$	15.3529	+	18.2969i	0.748256	+	0.891736i	0.997045	−	0.0768212i	$-0.0244771\pi$
$421$	15.3529	+	18.2969i	0.748256	+	0.891736i	−0.248789	+	0.968558i	$0.580033\pi$
$422$	−0.554879	−	1.83935i	−0.0270111	−	0.0895379i
$423$	5.62589	+	6.70467i	0.273540	+	0.325992i
$424$	4.64173	−	0.848674i	0.225423	−	0.0412153i
$425$	−13.1898			−0.639798
$426$	0.993657	−	17.7013i	0.0481429	−	0.857630i
$427$	−2.00332	−	0.933947i	−0.0969473	−	0.0451969i
$428$	−30.3296	+	7.32303i	−1.46604	+	0.353972i
$429$	−1.92714	+	3.33790i	−0.0930431	+	0.161155i
$430$	−23.4019	−	1.31366i	−1.12854	−	0.0633504i
$431$	−18.1451	+	6.60427i	−0.874018	+	0.318117i	−0.739793	−	0.672834i	$-0.765077\pi$
$431$	−18.1451	+	6.60427i	−0.874018	+	0.318117i	−0.134225	+	0.990951i	$0.542854\pi$
$432$	18.3779	+	11.8672i	0.884208	+	0.570962i
$433$	−11.2881	−	31.0138i	−0.542471	−	1.49043i	−0.843668	−	0.536865i	$-0.819608\pi$
$433$	−11.2881	−	31.0138i	−0.542471	−	1.49043i	0.301197	−	0.953562i	$-0.402614\pi$
$434$	−4.20351	−	3.30877i	−0.201775	−	0.158826i
$435$	−1.58427	+	0.279350i	−0.0759601	+	0.0133938i
$436$	30.9706	+	22.8551i	1.48322	+	1.09456i
$437$	−29.1899	−	21.5417i	−1.39634	−	1.03048i
$438$	−25.5191	+	12.8834i	−1.21935	+	0.615594i
$439$	12.0753	−	10.1324i	0.576324	−	0.483593i	−0.307414	−	0.951576i	$-0.599464\pi$
$439$	12.0753	−	10.1324i	0.576324	−	0.483593i	0.883738	+	0.467983i	$0.155019\pi$
$440$	−12.1749	+	7.13190i	−0.580415	+	0.340000i
$441$	7.03623	−	8.38846i	0.335059	−	0.399450i
$442$	6.19901	−	4.63527i	0.294857	−	0.220477i
$443$	3.55080	+	0.626102i	0.168704	+	0.0297470i	0.257362	−	0.966315i	$-0.417147\pi$
$443$	3.55080	+	0.626102i	0.168704	+	0.0297470i	−0.0886582	+	0.996062i	$0.528258\pi$
$444$	9.07595	+	6.69768i	0.430725	+	0.317858i
$445$			17.8617i			0.846728i
$446$	30.2674	+	7.10636i	1.43320	+	0.336496i
$447$	0.713636	−	4.04723i	0.0337538	−	0.191427i
$448$	11.9192	−	17.4909i	0.563128	−	0.826369i
$449$	−12.8471	−	7.41725i	−0.606290	−	0.350042i	0.165222	−	0.986256i	$-0.447166\pi$
$449$	−12.8471	−	7.41725i	−0.606290	−	0.350042i	−0.771512	+	0.636215i	$0.780499\pi$
$450$	−3.74245	+	3.98350i	−0.176421	+	0.187784i
$451$	−12.0705	+	10.1283i	−0.568376	+	0.476924i
$452$	−4.63714	−	19.2055i	−0.218113	−	0.903351i
$453$	−20.5121	−	7.46580i	−0.963743	−	0.350774i
$454$	4.74319	−	11.0598i	0.222609	−	0.519063i
$455$	−4.16732	−	1.11624i	−0.195367	−	0.0523300i
$456$	−12.2572	+	8.24721i	−0.573997	+	0.386211i
$457$	4.03682	+	6.99198i	0.188835	+	0.327071i	0.944862	−	0.327469i	$-0.106196\pi$
$457$	4.03682	+	6.99198i	0.188835	+	0.327071i	−0.756027	+	0.654540i	$0.772862\pi$
$458$	−17.0581	−	22.8127i	−0.797072	−	1.06597i
$459$	−5.06941	−	28.7500i	−0.236620	−	1.34194i
$460$	−25.3908	−	7.48537i	−1.18385	−	0.349007i
$461$	37.1397	+	13.5178i	1.72977	+	0.629584i	0.998614	−	0.0526272i	$-0.0167595\pi$
$461$	37.1397	+	13.5178i	1.72977	+	0.629584i	0.731155	+	0.682212i	$0.238982\pi$
$462$	11.9545	−	7.40983i	0.556173	−	0.344736i
$463$	18.4297	+	10.6404i	0.856501	+	0.494501i	0.862839	−	0.505479i	$-0.168684\pi$
$463$	18.4297	+	10.6404i	0.856501	+	0.494501i	−0.00633777	+	0.999980i	$0.502017\pi$
$464$	−3.22664	+	0.995627i	−0.149793	+	0.0462208i
$465$	2.08710	+	1.75129i	0.0967870	+	0.0812139i
$466$	−2.05861	−	6.82401i	−0.0953634	−	0.316116i
$467$	−30.3740	−	17.5364i	−1.40554	−	0.811488i	−0.410585	−	0.911822i	$-0.634676\pi$
$467$	−30.3740	−	17.5364i	−1.40554	−	0.811488i	−0.994954	+	0.100334i	$0.968009\pi$
$468$	0.358978	−	3.18739i	0.0165938	−	0.147337i
$469$	10.6872	+	4.98240i	0.493491	+	0.230066i
$470$	−10.0788	+	7.53638i	−0.464901	+	0.347627i
$471$	−17.2911	−	14.5090i	−0.796733	−	0.668538i
$472$	−19.9141	+	0.125565i	−0.916621	+	0.00577961i
$473$	−30.7209	−	11.1815i	−1.41255	−	0.514125i
$474$	−0.417230	+	7.43264i	−0.0191640	+	0.341393i
$475$	−4.30742	−	9.87189i	−0.197638	−	0.452953i
$476$	−27.9294	+	4.21357i	−1.28014	+	0.193129i
$477$	−2.56976	+	0.453118i	−0.117661	+	0.0207469i
$478$	−23.9717	+	17.9247i	−1.09644	+	0.819856i
$479$	0.826660	+	0.145762i	0.0377710	+	0.00666005i	0.192502	−	0.981297i	$-0.438340\pi$
$479$	0.826660	+	0.145762i	0.0377710	+	0.00666005i	−0.154731	+	0.987957i	$0.549451\pi$
$480$	−6.34607	+	8.71395i	−0.289657	+	0.397736i
$481$	0.838018	−	4.75264i	0.0382104	−	0.216702i
$482$	5.58481	+	11.0622i	0.254381	+	0.503871i
$483$	25.4877	+	6.82701i	1.15973	+	0.310640i
$484$	2.25457	−	0.544362i	0.102480	−	0.0247437i
$485$	6.21992	+	17.0891i	0.282432	+	0.775976i
$486$	−16.7741	−	10.9821i	−0.760888	−	0.498156i
$487$	9.27494	+	16.0647i	0.420288	+	0.727959i	0.995967	−	0.0897158i	$-0.0285959\pi$
$487$	9.27494	+	16.0647i	0.420288	+	0.727959i	−0.575680	+	0.817675i	$0.695263\pi$
$488$	2.22549	+	0.794156i	0.100743	+	0.0359497i
$489$	5.47871	−	15.0526i	0.247756	−	0.680704i
$490$	11.4757	+	10.7775i	0.518419	+	0.486876i
$491$	13.7567	+	16.3946i	0.620832	+	0.739879i	0.981213	−	0.192926i	$-0.0617977\pi$
$491$	13.7567	+	16.3946i	0.620832	+	0.739879i	−0.360381	+	0.932805i	$0.617353\pi$
$492$	−5.35741	+	10.7802i	−0.241531	+	0.486010i
$493$	3.90248	+	2.25310i	0.175759	+	0.101474i
$494$	5.49370	+	3.12590i	0.247173	+	0.140641i
$495$	6.75738	−	3.90137i	0.303722	−	0.175354i
$496$	4.80431	+	3.10230i	0.215720	+	0.139297i
$497$	27.5745	+	2.41001i	1.23689	+	0.108104i
$498$	−1.41858	+	6.04202i	−0.0635681	+	0.270749i
$499$	−5.01926	+	0.885031i	−0.224693	+	0.0396194i	−0.284861	−	0.958569i	$-0.591947\pi$
$499$	−5.01926	+	0.885031i	−0.224693	+	0.0396194i	0.0601681	+	0.998188i	$0.480836\pi$
$500$	−16.3790	−	17.2152i	−0.732492	−	0.769887i
$501$	−3.59466	−	6.22614i	−0.160598	−	0.278163i
$502$	11.4773	+	22.7339i	0.512257	+	1.01467i
$503$	−6.89908	−	1.21649i	−0.307615	−	0.0542407i	0.0177100	−	0.999843i	$-0.494362\pi$
$503$	−6.89908	−	1.21649i	−0.307615	−	0.0542407i	−0.325325	+	0.945602i	$0.605474\pi$
$504$	−6.65210	+	9.63065i	−0.296308	+	0.428983i
$505$	−6.20680	−	10.7505i	−0.276199	−	0.478391i
$506$	−30.8906	−	20.2242i	−1.37325	−	0.899073i
$507$	−13.4544	+	4.89701i	−0.597532	+	0.217484i
$508$	−9.63315	−	4.78735i	−0.427402	−	0.212404i
$509$	12.6233	−	15.0439i	0.559519	−	0.666809i	−0.409926	−	0.912119i	$-0.634445\pi$
$509$	12.6233	−	15.0439i	0.559519	−	0.666809i	0.969445	+	0.245310i	$0.0788898\pi$
$510$	14.2846	−	1.70008i	0.632534	−	0.0752806i
$511$	−18.8656	−	40.4480i	−0.834563	−	1.78931i
$512$	−10.9410	+	19.8064i	−0.483530	+	0.875328i
$513$	19.8624	−	13.1832i	0.876948	−	0.582052i
$514$	−4.07122	−	8.06416i	−0.179574	−	0.355695i
$515$	7.65243	+	2.78526i	0.337206	+	0.122733i
$516$	−24.9281	+	1.55706i	−1.09740	+	0.0685458i
$517$	−16.4948	+	6.00363i	−0.725442	+	0.264039i
$518$	−10.8923	+	13.8378i	−0.478582	+	0.607998i
$519$	12.5537	−	14.9609i	0.551045	−	0.656710i
$520$	4.54699	+	0.772229i	0.199399	+	0.0338645i
$521$		−	12.7214i		−	0.557335i	−0.960388	−	0.278668i	$-0.910107\pi$
$521$		−	12.7214i		−	0.557335i	0.960388	−	0.278668i	$-0.0898928\pi$
$522$	1.78775	−	0.539315i	0.0782478	−	0.0236052i
$523$	−30.5951	+	11.1357i	−1.33783	+	0.486931i	−0.909129	−	0.416515i	$-0.863251\pi$
$523$	−30.5951	+	11.1357i	−1.33783	+	0.486931i	−0.428702	+	0.903446i	$0.641029\pi$
$524$	10.1133	+	7.46319i	0.441801	+	0.326031i
$525$	5.53989	+	5.53891i	0.241781	+	0.241738i
$526$	−17.4480	+	5.26356i	−0.760767	+	0.229502i
$527$	−1.32523	−	7.51576i	−0.0577280	−	0.327392i
$528$	−11.9846	+	9.07982i	−0.521564	+	0.395148i
$529$	−8.03439	−	45.5653i	−0.349321	−	1.98110i
$530$	−0.443417	−	3.72575i	−0.0192608	−	0.161836i
$531$	11.0126			0.477907
$532$	−12.2746	−	19.5278i	−0.532173	−	0.846636i
$533$	5.15042			0.223089
$534$	2.24941	+	18.9003i	0.0973413	+	0.817897i
$535$	4.30812	+	24.4326i	0.186256	+	1.05631i
$536$	−11.8725	−	4.23664i	−0.512813	−	0.182995i
$537$	−5.54924	−	31.4713i	−0.239467	−	1.35809i
$538$	−8.82346	+	2.66179i	−0.380407	+	0.114758i
$539$	10.9826	+	19.0147i	0.473054	+	0.819020i
$540$	10.3288	−	13.9965i	0.444482	−	0.602312i
$541$	−30.0821	+	10.9490i	−1.29333	+	0.470734i	−0.894819	−	0.446430i	$-0.852695\pi$
$541$	−30.0821	+	10.9490i	−1.29333	+	0.470734i	−0.398511	+	0.917163i	$0.630473\pi$
$542$	39.5071	−	11.9182i	1.69698	−	0.511930i
$543$			6.19530i			0.265866i
$544$	29.3070	−	7.27198i	1.25653	−	0.311784i
$545$	19.6730	−	23.4453i	0.842698	−	1.00429i
$546$	−4.55020	−	0.656332i	−0.194731	−	0.0280884i
$547$	−10.9663	+	3.99139i	−0.468884	+	0.170660i	−0.565647	−	0.824648i	$-0.691373\pi$
$547$	−10.9663	+	3.99139i	−0.468884	+	0.170660i	0.0967630	+	0.995307i	$0.469151\pi$
$548$	0.322087	+	5.15651i	0.0137589	+	0.220275i
$549$	−1.22789	−	0.446915i	−0.0524050	−	0.0190739i
$550$	−4.94028	−	9.78558i	−0.210654	−	0.417258i
$551$	−0.411888	+	3.65661i	−0.0175470	+	0.155777i
$552$	−27.8099	−	4.72303i	−1.18367	−	0.201025i
$553$	−11.5784	−	1.01195i	−0.492362	−	0.0430323i
$554$	30.8324	−	3.66949i	1.30994	−	0.155902i
$555$	5.76517	−	6.87066i	0.244718	−	0.291643i
$556$	1.88588	−	3.79480i	0.0799793	−	0.160935i
$557$	5.47009	−	1.99095i	0.231775	−	0.0843593i	−0.223522	−	0.974699i	$-0.571755\pi$
$557$	5.47009	−	1.99095i	0.231775	−	0.0843593i	0.455297	+	0.890340i	$0.349533\pi$
$558$	−2.64589	−	1.73227i	−0.112009	−	0.0733329i
$559$	5.34306	+	9.25445i	0.225987	+	0.391421i
$560$	−13.2900	−	10.3261i	−0.561604	−	0.436357i
$561$	19.7600	+	3.48423i	0.834269	+	0.147104i
$562$	7.44769	+	14.7522i	0.314162	+	0.622283i
$563$	7.49757	+	12.9862i	0.315985	+	0.547302i	0.979646	−	0.200731i	$-0.0643318\pi$
$563$	7.49757	+	12.9862i	0.315985	+	0.547302i	−0.663661	+	0.748033i	$0.730998\pi$
$564$	−9.71576	+	9.24385i	−0.409107	+	0.389236i
$565$	−15.4713	+	2.72802i	−0.650885	+	0.114769i
$566$	2.82131	−	12.0166i	0.118589	−	0.505093i
$567$	−2.82418	+	4.03411i	−0.118605	+	0.169417i
$568$	−29.5902	+	0.186576i	−1.24158	+	0.00782857i
$569$	15.3965	−	8.88918i	0.645455	−	0.372654i	−0.141258	−	0.989973i	$-0.545115\pi$
$569$	15.3965	−	8.88918i	0.645455	−	0.372654i	0.786713	+	0.617319i	$0.211781\pi$
$570$	5.93739	+	10.1361i	0.248690	+	0.424556i
$571$	6.84558	+	3.95230i	0.286479	+	0.165399i	0.636353	−	0.771398i	$-0.280442\pi$
$571$	6.84558	+	3.95230i	0.286479	+	0.165399i	−0.349874	+	0.936797i	$0.613776\pi$
$572$	5.76080	+	2.86292i	0.240871	+	0.119705i
$573$	−5.65056	−	6.73408i	−0.236056	−	0.281320i
$574$	−16.5624	−	8.88361i	−0.691301	−	0.370795i
$575$	7.03374	−	19.3250i	0.293327	−	0.805910i
$576$	6.11927	−	10.9145i	0.254970	−	0.454770i
$577$	0.799110	+	1.38410i	0.0332674	+	0.0576208i	0.882180	−	0.470913i	$-0.156075\pi$
$577$	0.799110	+	1.38410i	0.0332674	+	0.0576208i	−0.848912	+	0.528534i	$0.822742\pi$
$578$	−13.5985	−	8.90301i	−0.565625	−	0.370316i
$579$	8.29080	+	22.7788i	0.344554	+	0.946654i
$580$	0.630184	+	2.61002i	0.0261670	+	0.108375i
$581$	−9.35967	−	2.50703i	−0.388305	−	0.104009i
$582$	8.73369	+	17.2994i	0.362023	+	0.717085i
$583$	0.908763	−	5.15385i	0.0376371	−	0.213451i
$584$	24.1165	+	41.1693i	0.997947	+	1.70360i
$585$	−2.51172	−	0.442884i	−0.103847	−	0.0183110i
$586$	19.9939	−	14.9503i	0.825939	−	0.617591i
$587$	30.0411	−	5.29705i	1.23993	−	0.218633i	0.485043	−	0.874491i	$-0.338804\pi$
$587$	30.0411	−	5.29705i	1.23993	−	0.218633i	0.754884	+	0.655858i	$0.227693\pi$
$588$	13.5002	+	9.95892i	0.556739	+	0.410699i
$589$	5.19239	−	3.44631i	0.213949	−	0.142003i
$590$	−0.887493	+	15.8101i	−0.0365375	+	0.650890i
$591$	−10.8686	−	3.95583i	−0.447073	−	0.162721i
$592$	10.2127	−	15.8156i	0.419737	−	0.650018i
$593$	29.9906	+	25.1651i	1.23157	+	1.03341i	0.998136	+	0.0610347i	$0.0194400\pi$
$593$	29.9906	+	25.1651i	1.23157	+	1.03341i	0.233432	+	0.972373i	$0.425004\pi$
$594$	19.4311	−	14.5295i	0.797266	−	0.596151i
$595$	1.95943	+	22.3737i	0.0803287	+	0.917230i
$596$	−6.81613	−	0.767662i	−0.279200	−	0.0314447i
$597$	7.95545	+	4.59308i	0.325595	+	0.187982i
$598$	3.48562	+	11.5543i	0.142538	+	0.472492i
$599$	22.0508	+	18.5028i	0.900972	+	0.756006i	0.970380	−	0.241583i	$-0.0776666\pi$
$599$	22.0508	+	18.5028i	0.900972	+	0.756006i	−0.0694079	+	0.997588i	$0.522111\pi$
$600$	−6.44927	−	5.34265i	−0.263291	−	0.218113i
$601$	34.1678	+	19.7268i	1.39373	+	0.804673i	0.993726	−	0.111839i	$-0.0356740\pi$
$601$	34.1678	+	19.7268i	1.39373	+	0.804673i	0.400008	+	0.916512i	$0.369007\pi$
$602$	−1.21951	−	38.9757i	−0.0497034	−	1.58853i
$603$	6.55051	+	2.38419i	0.266757	+	0.0970917i
$604$	−10.3023	+	34.9459i	−0.419193	+	1.42193i
$605$	−0.320247	−	1.81621i	−0.0130199	−	0.0738394i
$606$	−7.92155	−	10.5939i	−0.321791	−	0.430349i
$607$	−8.44111	−	14.6204i	−0.342614	−	0.593425i	0.642303	−	0.766451i	$-0.277979\pi$
$607$	−8.44111	−	14.6204i	−0.342614	−	0.593425i	−0.984917	+	0.173026i	$0.944646\pi$
$608$	15.0136	+	19.5600i	0.608881	+	0.793262i
$609$	−0.692930	−	2.58514i	−0.0280789	−	0.104755i
$610$	0.740559	−	1.72678i	0.0299844	−	0.0699152i
$611$	5.39163	+	1.96239i	0.218122	+	0.0793900i
$612$	−16.2316	+	3.91910i	−0.656125	+	0.158420i
$613$	16.6075	−	13.9354i	0.670771	−	0.562844i	−0.242522	−	0.970146i	$-0.577975\pi$
$613$	16.6075	−	13.9354i	0.670771	−	0.562844i	0.913294	+	0.407302i	$0.133530\pi$
$614$	8.75067	−	9.31431i	0.353148	−	0.375895i
$615$	8.28962	+	4.78601i	0.334270	+	0.192991i
$616$	−13.5872	−	19.1428i	−0.547442	−	0.771286i
$617$	−5.41781	+	30.7259i	−0.218113	+	1.23698i	0.657310	+	0.753621i	$0.271694\pi$
$617$	−5.41781	+	30.7259i	−0.218113	+	1.23698i	−0.875423	+	0.483358i	$0.839417\pi$
$618$	8.44814	+	1.98350i	0.339834	+	0.0797881i
$619$			10.0338i			0.403291i	0.979459	+	0.201646i	$0.0646289\pi$
$619$			10.0338i			0.403291i	−0.979459	+	0.201646i	$0.935371\pi$
$620$	2.70013	−	3.65892i	0.108440	−	0.146946i
$621$	44.8266	+	7.90413i	1.79883	+	0.317182i
$622$	21.6432	−	16.1836i	0.867813	−	0.648902i
$623$	−29.6031	+	2.59256i	−1.18602	+	0.103869i
$624$	4.90863	+	0.244507i	0.196502	+	0.00978813i
$625$	−5.00952	+	4.20348i	−0.200381	+	0.168139i
$626$	27.9985	−	14.1351i	1.11904	−	0.564953i
$627$	3.84532	+	15.9272i	0.153567	+	0.636073i
$628$	−22.3699	+	30.3132i	−0.892657	+	1.20963i
$629$	−24.7416	+	4.36261i	−0.986512	+	0.173949i
$630$	7.31313	+	5.75649i	0.291362	+	0.229344i
$631$	1.29308	+	3.55271i	0.0514767	+	0.141431i	0.962766	−	0.270335i	$-0.0871344\pi$
$631$	1.29308	+	3.55271i	0.0514767	+	0.141431i	−0.911290	+	0.411766i	$0.864912\pi$
$632$	12.4247	−	0.0783421i	0.494229	−	0.00311628i
$633$	−1.52971	+	0.556769i	−0.0608005	+	0.0221296i
$634$	−35.9679	−	2.01905i	−1.42847	−	0.0801868i
$635$	−4.27676	+	7.40756i	−0.169718	+	0.293960i
$636$	−0.938399	−	3.88654i	−0.0372099	−	0.154111i
$637$	1.24512	−	7.06871i	0.0493334	−	0.280072i
$638$	−0.209898	+	3.73918i	−0.00830994	+	0.148036i
$639$	16.3636			0.647332
$640$	15.1760	+	9.66460i	0.599884	+	0.382027i
$641$	−5.50257	−	6.55771i	−0.217339	−	0.259014i	0.646349	−	0.763042i	$-0.276295\pi$
$641$	−5.50257	−	6.55771i	−0.217339	−	0.259014i	−0.863687	+	0.504028i	$0.831851\pi$
$642$	7.63551	+	25.3106i	0.301350	+	0.998931i
$643$	13.2750	+	15.8205i	0.523516	+	0.623902i	0.961408	−	0.275126i	$-0.0887195\pi$
$643$	13.2750	+	15.8205i	0.523516	+	0.623902i	−0.437893	+	0.899027i	$0.644275\pi$
$644$	8.72046	−	43.1679i	0.343634	−	1.70105i
$645$			19.8601i			0.781990i
$646$	5.51002	−	32.4404i	0.216789	−	1.27635i
$647$	−6.24537	−	3.60577i	−0.245531	−	0.141757i	0.372185	−	0.928158i	$-0.378609\pi$
$647$	−6.24537	−	3.60577i	−0.245531	−	0.141757i	−0.617716	+	0.786401i	$0.711942\pi$
$648$	2.60342	−	4.57564i	0.102272	−	0.179748i
$649$	−7.55407	+	20.7546i	−0.296523	+	0.814690i
$650$	−0.818991	+	3.48825i	−0.0321235	+	0.136820i
$651$	−2.59955	+	3.71324i	−0.101884	+	0.145533i
$652$	−25.6447	−	7.56022i	−1.00433	−	0.296081i
$653$	42.7881			1.67443			0.837213	−	0.546877i	$-0.184183\pi$
$653$	42.7881			1.67443			0.837213	+	0.546877i	$0.184183\pi$
$654$	17.8643	−	27.2861i	0.698549	−	1.06697i
$655$	6.42410	−	7.65595i	0.251010	−	0.299143i
$656$	18.5152	+	7.80270i	0.722895	+	0.304644i
$657$	−13.1925	−	22.8500i	−0.514687	−	0.891465i
$658$	−13.9533	−	15.6102i	−0.543955	−	0.608549i
$659$	−32.3000	−	27.1029i	−1.25823	−	1.05578i	−0.995868	−	0.0908094i	$-0.971055\pi$
$659$	−32.3000	−	27.1029i	−1.25823	−	1.05578i	−0.262361	−	0.964970i	$-0.584501\pi$
$660$	6.61166	+	9.96109i	0.257359	+	0.387735i
$661$	−21.0581	−	3.71311i	−0.819064	−	0.144423i	−0.251611	−	0.967829i	$-0.580960\pi$
$661$	−21.0581	−	3.71311i	−0.819064	−	0.144423i	−0.567454	+	0.823405i	$0.692071\pi$
$662$	0.917276	−	2.13883i	0.0356509	−	0.0831281i
$663$	−4.21576	−	5.02415i	−0.163727	−	0.195122i
$664$	10.2124	+	1.73440i	0.396318	+	0.0673078i
$665$	−16.1057	+	8.77316i	−0.624551	+	0.340209i
$666$	−5.70258	+	8.71016i	−0.220970	+	0.337512i
$667$	−5.38222	+	4.51621i	−0.208400	+	0.174869i
$668$	−9.99749	+	6.63582i	−0.386814	+	0.256748i
$669$	4.57450	−	25.9433i	0.176860	−	1.00303i
$670$	−3.95072	+	9.21198i	−0.152629	+	0.355890i
$671$	1.68453	−	2.00755i	0.0650307	−	0.0775005i
$672$	−15.3631	−	9.25283i	−0.592645	−	0.356936i
$673$	−26.4811	+	15.2888i	−1.02077	+	0.589342i	−0.914327	−	0.404977i	$-0.867280\pi$
$673$	−26.4811	+	15.2888i	−1.02077	+	0.589342i	−0.106443	+	0.994319i	$0.533946\pi$
$674$	4.32605	−	18.4255i	0.166633	−	0.709725i
$675$	10.3523	+	8.68664i	0.398462	+	0.334349i
$676$	9.55738	+	21.9029i	0.367591	+	0.842418i
$677$		−	18.8635i		−	0.724985i	−0.931987	−	0.362492i	$-0.881926\pi$
$677$		−	18.8635i		−	0.724985i	0.931987	−	0.362492i	$-0.118074\pi$
$678$	−16.0274	+	4.83501i	−0.615528	+	0.185687i
$679$	−27.4197	+	12.7890i	−1.05227	+	0.490796i
$680$	−4.31830	−	23.6185i	−0.165599	−	0.905727i
$681$	−9.58169	−	3.48745i	−0.367171	−	0.133639i
$682$	5.07962	−	3.79825i	0.194509	−	0.145443i
$683$	18.7357	−	32.4512i	0.716903	−	1.24171i	−0.245318	−	0.969443i	$-0.578892\pi$
$683$	18.7357	−	32.4512i	0.716903	−	1.24171i	0.962221	−	0.272270i	$-0.0877743\pi$
$684$	−8.23406	−	10.8687i	−0.314837	−	0.415575i
$685$	4.10817			0.156965
$686$	−16.1963	+	20.5835i	−0.618378	+	0.785881i
$687$	−18.4892	+	15.5143i	−0.705406	+	0.591906i
$688$	5.18751	+	41.3632i	0.197772	+	1.57696i
$689$	−1.31041	+	1.09956i	−0.0499226	+	0.0418900i
$690$	−5.12673	+	21.8358i	−0.195171	+	0.831274i
$691$			13.8847i			0.528200i	0.964495	+	0.264100i	$0.0850749\pi$
$691$			13.8847i			0.528200i	−0.964495	+	0.264100i	$0.914925\pi$
$692$	−26.2281	−	19.3553i	−0.997042	−	0.735776i
$693$	7.44673	+	10.6330i	0.282878	+	0.403916i
$694$	−16.6543	−	15.6465i	−0.632190	−	0.593934i
$695$	−2.91806	−	1.68475i	−0.110689	−	0.0639060i
$696$	0.995517	+	2.68241i	0.0377350	+	0.101677i
$697$	−9.17038	−	25.1954i	−0.347353	−	0.954344i
$698$	7.75729	−	18.0878i	0.293618	−	0.684635i
$699$	−5.67526	+	2.06562i	−0.214658	+	0.0781291i
$700$	8.65030	−	9.80467i	0.326951	−	0.370582i
$701$	−2.73756	−	15.5255i	−0.103396	−	0.586390i	−0.991849	−	0.127421i	$-0.959330\pi$
$701$	−2.73756	−	15.5255i	−0.103396	−	0.586390i	0.888452	−	0.458969i	$-0.151781\pi$
$702$	−7.91819	−	0.444485i	−0.298853	−	0.0167760i
$703$	−11.3451	−	17.0931i	−0.427890	−	0.644680i
$704$	16.3722	+	19.0193i	0.617049	+	0.716816i
$705$	6.85431	+	8.16864i	0.258148	+	0.307649i
$706$	−24.8630	+	2.95905i	−0.935731	+	0.111365i
$707$	16.9164	−	11.8472i	0.636206	−	0.445560i
$708$	1.05193	+	16.8411i	0.0395340	+	0.632927i
$709$	−1.19220	+	6.76131i	−0.0447741	+	0.253926i	−0.998976	−	0.0452359i	$-0.985596\pi$
$709$	−1.19220	+	6.76131i	−0.0447741	+	0.253926i	0.954202	+	0.299162i	$0.0967072\pi$
$710$	−1.31872	+	23.4920i	−0.0494907	+	0.881640i
$711$	−6.87094			−0.257680
$712$	31.2501	−	5.71363i	1.17115	−	0.214127i
$713$	11.7184	+	2.06628i	0.438859	+	0.0773827i
$714$	4.89097	+	23.4278i	0.183040	+	0.876764i
$715$	2.55758	−	4.42985i	0.0956479	−	0.165667i
$716$	−51.8475	+	12.5185i	−1.93763	+	0.467838i
$717$	16.3024	+	19.4285i	0.608826	+	0.725570i
$718$	−8.77626	−	8.24518i	−0.327527	−	0.307707i
$719$	−1.66016	+	4.56126i	−0.0619137	+	0.170106i	−0.966792	−	0.255563i	$-0.917739\pi$
$719$	−1.66016	+	4.56126i	−0.0619137	+	0.170106i	0.904879	+	0.425669i	$0.139961\pi$
$720$	−8.35839	−	5.39728i	−0.311499	−	0.201145i
$721$	−3.50541	+	13.0870i	−0.130548	+	0.487385i
$722$	26.0794	−	6.47016i	0.970576	−	0.240795i
$723$	9.09328	−	5.25001i	0.338183	−	0.195250i
$724$	10.3201	−	0.644618i	0.383545	−	0.0239570i
$725$	−2.05428	+	0.362224i	−0.0762939	+	0.0134527i
$726$	−0.567591	−	1.88148i	−0.0210653	−	0.0698284i
$727$	17.9793	−	49.3978i	0.666817	−	1.83206i	0.123866	−	0.992299i	$-0.460471\pi$
$727$	17.9793	−	49.3978i	0.666817	−	1.83206i	0.542951	−	0.839764i	$-0.317307\pi$
$728$	−0.619871	+	7.64802i	−0.0229740	+	0.283455i
$729$	−11.2860	+	19.5479i	−0.417999	+	0.723995i
$730$	33.8674	−	17.0981i	1.25349	−	0.632828i
$731$	35.7586	−	42.6154i	1.32258	−	1.57619i
$732$	0.566158	−	1.92044i	0.0209258	−	0.0709817i
$733$	16.2538	−	28.1523i	0.600346	−	1.03983i	−0.392422	−	0.919785i	$-0.628363\pi$
$733$	16.2538	−	28.1523i	0.600346	−	1.03983i	0.992768	−	0.120045i	$-0.0383039\pi$
$734$	5.64081	+	11.1732i	0.208206	+	0.412409i
$735$	8.57260	−	10.2201i	0.316205	−	0.376974i
$736$	−4.97402	+	46.8171i	−0.183345	+	1.72570i
$737$	−8.98660	+	10.7098i	−0.331026	+	0.394501i
$738$	−10.2114	−	4.37932i	−0.375886	−	0.161205i
$739$	−1.57450	+	4.32591i	−0.0579190	+	0.159131i	−0.965278	−	0.261226i	$-0.915873\pi$
$739$	−1.57450	+	4.32591i	−0.0579190	+	0.159131i	0.907359	+	0.420357i	$0.138095\pi$
$740$	−12.0450	−	8.88874i	−0.442784	−	0.326756i
$741$	2.38357	−	4.79604i	0.0875627	−	0.176187i
$742$	6.11049	−	1.27567i	0.224323	−	0.0468314i
$743$	5.36515	+	30.4273i	0.196828	+	1.11627i	0.909791	+	0.415066i	$0.136242\pi$
$743$	5.36515	+	30.4273i	0.196828	+	1.11627i	−0.712963	+	0.701202i	$0.752647\pi$
$744$	2.39635	−	4.21170i	0.0878544	−	0.154408i
$745$	−0.947092	+	5.37123i	−0.0346988	+	0.196786i
$746$	3.95753	+	33.2526i	0.144896	+	1.21746i
$747$	−5.64125	−	0.994704i	−0.206402	−	0.0363943i
$748$	3.74800	−	33.2788i	0.137041	−	1.21679i
$749$	−39.8679	+	10.6863i	−1.45674	+	0.390470i
$750$	−13.7860	+	14.6740i	−0.503393	+	0.535817i
$751$	−23.5110	+	8.55731i	−0.857930	+	0.312261i	−0.733269	−	0.679939i	$-0.762006\pi$
$751$	−23.5110	+	8.55731i	−0.857930	+	0.312261i	−0.124661	+	0.992199i	$0.539784\pi$
$752$	16.4093	+	15.2227i	0.598387	+	0.555115i
$753$	18.6875	−	10.7893i	0.681012	−	0.393182i
$754$	0.838185	−	0.892173i	0.0305249	−	0.0324910i
$755$	27.2224	+	9.90814i	0.990724	+	0.360594i
$756$	24.6961	+	15.0869i	0.898190	+	0.548705i
$757$	−1.61032	+	1.35122i	−0.0585281	+	0.0491109i	−0.671582	−	0.740930i	$-0.734385\pi$
$757$	−1.61032	+	1.35122i	−0.0585281	+	0.0491109i	0.613054	+	0.790041i	$0.289941\pi$
$758$	−23.5336	+	2.80083i	−0.854779	+	0.101731i
$759$	−15.6424	+	27.0934i	−0.567783	+	0.983428i
$760$	16.2670	−	10.9452i	0.590067	−	0.397023i
$761$	−2.33768	−	4.04898i	−0.0847408	−	0.146775i	0.820540	−	0.571589i	$-0.193673\pi$
$761$	−2.33768	−	4.04898i	−0.0847408	−	0.146775i	−0.905281	+	0.424814i	$0.860340\pi$
$762$	−3.59256	+	8.37686i	−0.130145	+	0.303462i
$763$	41.7125	+	29.2019i	1.51009	+	1.05718i
$764$	−10.6297	+	10.1134i	−0.384569	+	0.365890i
$765$	2.30560	+	13.0757i	0.0833590	+	0.472752i
$766$	−38.1715	−	8.96211i	−1.37919	−	0.323814i
$767$	6.25219	−	3.60970i	0.225753	−	0.130339i
$768$	17.2755	+	8.31537i	0.623377	+	0.300055i
$769$	−0.982050	+	5.56948i	−0.0354136	+	0.200841i	−0.997381	−	0.0723227i	$-0.976959\pi$
$769$	−0.982050	+	5.56948i	−0.0354136	+	0.200841i	0.961968	+	0.273163i	$0.0880700\pi$
$770$	−15.8652	+	9.83385i	−0.571744	+	0.354387i
$771$	−6.62882	+	3.82715i	−0.238731	+	0.137832i
$772$	37.0823	−	16.1809i	1.33462	−	0.582365i
$773$	10.5884	+	29.0914i	0.380839	+	1.04635i	0.971004	+	0.239064i	$0.0768405\pi$
$773$	10.5884	+	29.0914i	0.380839	+	1.04635i	−0.590165	+	0.807283i	$0.700937\pi$
$774$	−2.72438	−	22.8913i	−0.0979260	−	0.822809i
$775$	2.70628	+	2.27084i	0.0972124	+	0.0815709i
$776$	27.9087	−	16.3486i	1.00186	−	0.586880i
$777$	12.2238	+	8.55763i	0.438528	+	0.307003i
$778$	−22.3494	−	14.6322i	−0.801265	−	0.524591i
$779$	15.8627	−	15.0917i	0.568341	−	0.540717i
$780$	0.437362	−	3.88337i	0.0156601	−	0.139047i
$781$	−11.2245	+	30.8391i	−0.401645	+	1.10351i
$782$	50.3167	−	37.6240i	1.79932	−	1.34543i
$783$	−1.57910	−	4.33853i	−0.0564323	−	0.155047i
$784$	15.1849	−	23.5249i	0.542318	−	0.840174i
$785$	22.9477	+	19.2554i	0.819038	+	0.687254i
$786$	5.83348	−	8.91011i	0.208073	−	0.317813i
$787$	18.4427			0.657410			0.328705	−	0.944433i	$-0.393388\pi$
$787$	18.4427			0.657410			0.328705	+	0.944433i	$0.393388\pi$
$788$	−5.45876	+	18.5164i	−0.194460	+	0.659621i
$789$	5.28148	+	14.5108i	0.188026	+	0.516597i
$790$	0.553721	−	9.86413i	0.0197005	−	0.350950i
$791$	−6.76687	−	25.2454i	−0.240602	−	0.897623i
$792$	−8.98723	−	10.5744i	−0.319347	−	0.375746i
$793$	−0.843598	+	0.148749i	−0.0299571	+	0.00528224i
$794$	28.2398	−	30.0588i	1.00219	−	1.06675i
$795$	−3.13087	+	0.552057i	−0.111041	+	0.0195795i
$796$	6.82340	−	13.7301i	0.241849	−	0.486651i
$797$		−	4.78541i		−	0.169508i	−0.996402	−	0.0847539i	$-0.972990\pi$
$797$		−	4.78541i		−	0.169508i	0.996402	−	0.0847539i	$-0.0270104\pi$
$798$	−15.9373	+	11.3115i	−0.564174	+	0.400424i
$799$		−	29.8695i		−	1.05671i
$800$	−8.22875	+	11.2991i	−0.290930	+	0.399484i
$801$	−17.3007	+	3.05058i	−0.611291	+	0.107787i
$802$	17.4400	+	16.3847i	0.615829	+	0.578563i
$803$	52.1130	−	9.18893i	1.83903	−	0.324270i
$804$	−3.02033	+	10.2451i	−0.106519	+	0.361318i
$805$	−33.8257	−	9.06038i	−1.19220	−	0.319336i
$806$	−2.06995	−	0.116196i	−0.0729109	−	0.00409283i
$807$	2.67086	+	7.33812i	0.0940186	+	0.258314i
$808$	−16.8231	+	14.2980i	−0.591836	+	0.503003i
$809$	−23.6055			−0.829925			−0.414962	−	0.909839i	$-0.636205\pi$
$809$	−23.6055			−0.829925			−0.414962	+	0.909839i	$0.636205\pi$
$810$	−3.50218	−	2.29289i	−0.123054	−	0.0805639i
$811$	−0.711228	−	0.596791i	−0.0249746	−	0.0209562i	0.630215	−	0.776421i	$-0.282967\pi$
$811$	−0.711228	−	0.596791i	−0.0249746	−	0.0209562i	−0.655189	+	0.755465i	$0.727411\pi$
$812$	−4.23423	+	1.42327i	−0.148592	+	0.0499469i
$813$	−11.9588	−	32.8565i	−0.419413	−	1.15233i
$814$	−12.5037	−	16.7219i	−0.438255	−	0.586103i
$815$	−7.27100	+	19.9769i	−0.254692	+	0.699760i
$816$	−7.54376	−	24.4479i	−0.264084	−	0.855849i
$817$	43.5733	+	12.8465i	1.52444	+	0.449442i
$818$	−28.6553	+	43.7684i	−1.00191	+	1.53033i
$819$	0.369445	−	4.22707i	0.0129095	−	0.147706i
$820$	7.11002	−	14.3068i	0.248293	−	0.499617i
$821$	−27.9662	−	23.4664i	−0.976027	−	0.818984i	0.00745844	−	0.999972i	$-0.497626\pi$
$821$	−27.9662	−	23.4664i	−0.976027	−	0.818984i	−0.983485	+	0.180988i	$0.942070\pi$
$822$	4.34704	−	0.517360i	0.151620	−	0.0180450i
$823$	5.62778	+	15.4622i	0.196172	+	0.538979i	0.998307	−	0.0581643i	$-0.0185247\pi$
$823$	5.62778	+	15.4622i	0.196172	+	0.538979i	−0.802135	+	0.597143i	$0.796303\pi$
$824$	2.42509	−	14.2793i	0.0844821	−	0.497443i
$825$	−8.04385	+	4.64412i	−0.280051	+	0.161688i
$826$	−26.3315	+	0.823884i	−0.916191	+	0.0286666i
$827$	−0.103141	+	0.584944i	−0.00358658	+	0.0203405i	−0.986549	−	0.163469i	$-0.947732\pi$
$827$	−0.103141	+	0.584944i	−0.00358658	+	0.0203405i	0.982962	+	0.183809i	$0.0588428\pi$
$828$	2.91379	−	25.8718i	0.101261	−	0.899106i
$829$	−29.4291	+	16.9909i	−1.02211	+	0.590118i	−0.914716	−	0.404098i	$-0.867585\pi$
$829$	−29.4291	+	16.9909i	−1.02211	+	0.590118i	−0.107398	+	0.994216i	$0.534252\pi$
$830$	1.88265	−	8.01859i	0.0653477	−	0.278329i
$831$	−4.56855	−	25.9095i	−0.158481	−	0.898791i
$832$	−0.103440	−	8.20224i	−0.00358614	−	0.284361i
$833$	−36.7965	+	6.49490i	−1.27492	+	0.225035i
$834$	−3.29990	−	1.41522i	−0.114266	−	0.0490051i
$835$	4.77061	+	8.26294i	0.165094	+	0.285951i
$836$	26.1315	−	8.06275i	0.903778	−	0.278856i
$837$	−3.90965	+	6.77172i	−0.135137	+	0.234065i
$838$	1.18721	+	9.97538i	0.0410116	+	0.344594i
$839$	1.16149	−	0.974606i	0.0400991	−	0.0336471i	−0.622518	−	0.782606i	$-0.713890\pi$
$839$	1.16149	−	0.974606i	0.0400991	−	0.0336471i	0.662617	+	0.748958i	$0.269446\pi$
$840$	−8.10459	+	11.7335i	−0.279635	+	0.404845i
$841$	−26.5814	−	9.67484i	−0.916600	−	0.333615i
$842$	−24.6182	−	23.1284i	−0.848398	−	0.797058i
$843$	12.1265	−	7.00121i	0.417657	−	0.241135i
$844$	1.08663	+	2.49026i	0.0374034	+	0.0857183i
$845$	17.8559	−	6.49901i	0.614261	−	0.223573i
$846$	−9.02102	−	8.47512i	−0.310149	−	0.291381i
$847$	2.96360	−	0.794375i	0.101831	−	0.0272951i
$848$	−6.37656	+	1.96758i	−0.218972	+	0.0675669i
$849$	−10.2998	−	1.81614i	−0.353489	−	0.0623296i
$850$	18.5224	−	2.20443i	0.635315	−	0.0756115i
$851$	6.80211	−	38.5767i	0.233173	−	1.32239i
$852$	1.56306	+	25.0241i	0.0535495	+	0.857310i
$853$	4.74267	+	26.8970i	0.162386	+	0.920937i	0.951719	+	0.306971i	$0.0993155\pi$
$853$	4.74267	+	26.8970i	0.162386	+	0.920937i	−0.789333	+	0.613966i	$0.789573\pi$
$854$	2.96936	+	0.976727i	0.101609	+	0.0334229i
$855$	−9.03355	+	5.99579i	−0.308941	+	0.205052i
$856$	41.3680	−	15.3528i	1.41393	−	0.524748i
$857$	4.98264	−	13.6897i	0.170204	−	0.467631i	−0.825037	−	0.565079i	$-0.808846\pi$
$857$	4.98264	−	13.6897i	0.170204	−	0.467631i	0.995241	+	0.0974478i	$0.0310679\pi$
$858$	2.14842	−	5.00951i	0.0733457	−	0.171022i
$859$	−19.1748	+	22.8517i	−0.654237	+	0.779689i	−0.986546	−	0.163481i	$-0.947728\pi$
$859$	−19.1748	+	22.8517i	−0.654237	+	0.779689i	0.332310	+	0.943170i	$0.392172\pi$
$860$	33.0830	−	2.06643i	1.12812	−	0.0704648i
$861$	−6.72887	+	14.4334i	−0.229319	+	0.491890i
$862$	24.3774	−	12.3070i	0.830298	−	0.419179i
$863$	11.4618	−	19.8523i	0.390163	−	0.675782i	−0.602308	−	0.798264i	$-0.705752\pi$
$863$	11.4618	−	19.8523i	0.390163	−	0.675782i	0.992471	+	0.122482i	$0.0390854\pi$
$864$	−27.7916	−	13.5936i	−0.945489	−	0.462465i
$865$	−16.6604	+	19.8551i	−0.566472	+	0.675095i
$866$	21.0353	+	41.6661i	0.714808	+	1.41587i
$867$	−6.88604	+	11.9270i	−0.233862	+	0.405061i
$868$	6.45600	+	3.94397i	0.219131	+	0.133867i
$869$	4.71310	−	12.9491i	0.159881	−	0.439269i
$870$	2.17811	−	0.657075i	0.0738449	−	0.0222769i
$871$	4.50041	−	0.793543i	0.152490	−	0.0268882i
$872$	−47.3119	−	26.9192i	−1.60218	−	0.911601i
$873$	−15.4901	+	8.94319i	−0.524259	+	0.302681i
$874$	44.5918	+	25.3726i	1.50834	+	0.858240i
$875$	−22.2293	−	22.2254i	−0.751488	−	0.751356i
$876$	33.6834	−	22.3573i	1.13806	−	0.755383i
$877$	6.56654	−	18.0414i	0.221736	−	0.609216i	−0.778084	−	0.628160i	$-0.783808\pi$
$877$	6.56654	−	18.0414i	0.221736	−	0.609216i	0.999821	+	0.0189443i	$0.00603052\pi$
$878$	−15.2640	+	16.2471i	−0.515134	+	0.548314i
$879$	−13.5972	−	16.2046i	−0.458623	−	0.546566i
$880$	15.9053	−	12.0502i	0.536166	−	0.406211i
$881$	−18.1625	+	31.4584i	−0.611911	+	1.05986i	0.379007	+	0.925394i	$0.376266\pi$
$881$	−18.1625	+	31.4584i	−0.611911	+	1.05986i	−0.990918	+	0.134468i	$0.957068\pi$
$882$	−8.47902	+	12.9559i	−0.285504	+	0.436248i
$883$	−42.0587	−	7.41609i	−1.41539	−	0.249571i	−0.586938	−	0.809632i	$-0.699667\pi$
$883$	−42.0587	−	7.41609i	−1.41539	−	0.249571i	−0.828451	+	0.560061i	$0.810778\pi$
$884$	−7.93058	+	7.54538i	−0.266734	+	0.253779i
$885$	13.4172			0.451015
$886$	−5.09104	−	0.285784i	−0.171037	−	0.00960111i
$887$	1.93533	−	10.9758i	0.0649819	−	0.368531i	−0.934924	−	0.354847i	$-0.884533\pi$
$887$	1.93533	−	10.9758i	0.0649819	−	0.368531i	0.999906	−	0.0136840i	$-0.00435588\pi$
$888$	−13.8648	−	7.88869i	−0.465271	−	0.264727i
$889$	−12.8976	−	6.01288i	−0.432573	−	0.201666i
$890$	−2.98527	−	25.0833i	−0.100066	−	0.840794i
$891$	−3.75301	−	4.47266i	−0.125730	−	0.149840i
$892$	−43.6923	−	4.92082i	−1.46293	−	0.164761i
$893$	22.3558	−	9.75456i	0.748109	−	0.326424i
$894$	−0.325739	+	5.80281i	−0.0108943	+	0.194075i
$895$	7.36460	+	41.7667i	0.246171	+	1.39611i
$896$	−13.8148	+	26.5547i	−0.461522	+	0.887129i
$897$	9.60929	−	3.49749i	0.320845	−	0.116778i
$898$	19.2808	+	8.26891i	0.643409	+	0.275937i
$899$	−0.412803	−	1.13417i	−0.0137678	−	0.0378266i
$900$	4.58976	−	6.21953i	0.152992	−	0.207318i
$901$	7.71216	+	4.45262i	0.256929	+	0.148338i
$902$	15.2578	−	16.2406i	0.508030	−	0.540753i
$903$	−32.9150	+	2.88261i	−1.09534	+	0.0959274i
$904$	9.72181	+	26.1953i	0.323342	+	0.871244i
$905$		−	8.22201i		−	0.273309i
$906$	30.0530	+	7.05601i	0.998444	+	0.234420i
$907$	−34.9183	+	29.2999i	−1.15944	+	0.972888i	−0.999898	−	0.0143032i	$-0.995447\pi$
$907$	−34.9183	+	29.2999i	−1.15944	+	0.972888i	−0.159544	+	0.987191i	$0.551003\pi$
$908$	−4.81243	+	16.3241i	−0.159706	+	0.541733i
$909$	9.35278	−	7.84791i	0.310212	−	0.260299i
$910$	6.03874	+	0.871042i	0.200182	+	0.0288748i
$911$	17.4815			0.579187			0.289593	−	0.957150i	$-0.406480\pi$
$911$	17.4815			0.579187			0.289593	+	0.957150i	$0.406480\pi$
$912$	15.8345	−	13.6302i	0.524332	−	0.451340i
$913$	5.74424	−	9.94931i	0.190106	−	0.329274i
$914$	−6.83751	−	9.14418i	−0.226165	−	0.302463i
$915$	−1.49600	−	0.544499i	−0.0494562	−	0.0180006i
$916$	27.7675	+	29.1850i	0.917463	+	0.964301i
$917$	13.6210	+	9.53572i	0.449804	+	0.314897i
$918$	11.9240	+	39.5265i	0.393552	+	1.30457i
$919$		−	29.5380i		−	0.974370i	−0.873299	−	0.487185i	$-0.838024\pi$
$919$		−	29.5380i		−	0.974370i	0.873299	−	0.487185i	$-0.161976\pi$
$920$	36.9075	+	6.26810i	1.21680	+	0.206653i
$921$	−8.29534	−	6.96062i	−0.273341	−	0.229360i
$922$	−54.4147	−	12.7758i	−1.79205	−	0.420748i
$923$	9.29008	−	5.36363i	0.305787	−	0.176546i
$924$	−15.5493	+	12.4036i	−0.511535	+	0.408049i
$925$	7.47552	−	8.90897i	0.245794	−	0.292925i
$926$	−27.6593	−	11.8621i	−0.908939	−	0.389814i
$927$	−1.39083	+	7.88776i	−0.0456807	+	0.259068i
$928$	4.36478	−	1.93744i	0.143281	−	0.0635995i
$929$	11.9365	−	10.0159i	0.391622	−	0.328610i	−0.425622	−	0.904901i	$-0.639945\pi$
$929$	11.9365	−	10.0159i	0.391622	−	0.328610i	0.817245	+	0.576291i	$0.195500\pi$
$930$	−3.22362	−	2.11051i	−0.105707	−	0.0692065i
$931$	−16.8778	−	25.4193i	−0.553148	−	0.833083i
$932$	4.03143	+	9.23892i	0.132054	+	0.302631i
$933$	−14.7189	−	17.5413i	−0.481875	−	0.574276i
$934$	45.5851	+	19.5500i	1.49159	+	0.639695i
$935$	−26.2243	−	4.62404i	−0.857625	−	0.151222i
$936$	0.0286014	+	4.53606i	0.000934867	+	0.148266i
$937$	16.9901	+	14.2564i	0.555042	+	0.465736i	0.876644	−	0.481139i	$-0.159777\pi$
$937$	16.9901	+	14.2564i	0.555042	+	0.465736i	−0.321602	+	0.946875i	$0.604221\pi$
$938$	−15.8409	−	5.21062i	−0.517222	−	0.170133i
$939$	−13.2877	−	23.0150i	−0.433629	−	0.751067i
$940$	12.8941	−	12.2679i	0.420561	−	0.400133i
$941$	0.0711721	−	0.0848196i	0.00232014	−	0.00276504i	−0.764883	−	0.644169i	$-0.777203\pi$
$941$	0.0711721	−	0.0848196i	0.00232014	−	0.00276504i	0.767203	+	0.641404i	$0.221648\pi$
$942$	26.7069	+	17.4851i	0.870157	+	0.569695i
$943$	41.8054			1.36137
$944$	27.9445	−	3.50462i	0.909515	−	0.114066i
$945$	13.1971	−	18.8510i	0.429303	−	0.613223i
$946$	45.0102	+	10.5677i	1.46341	+	0.343587i
$947$	−2.70578	+	7.43406i	−0.0879260	+	0.241575i	−0.975860	−	0.218396i	$-0.929918\pi$
$947$	−2.70578	+	7.43406i	−0.0879260	+	0.241575i	0.887934	+	0.459970i	$0.152140\pi$
$948$	−0.656316	−	10.5074i	−0.0213162	−	0.341265i
$949$	−14.9795	−	8.64843i	−0.486256	−	0.280740i
$950$	7.69883	+	13.1432i	0.249783	+	0.426422i
$951$			30.5243i			0.989817i
$952$	38.5172	−	10.5850i	1.24835	−	0.343063i
$953$	−33.8239	−	40.3097i	−1.09566	−	1.30576i	−0.948545	−	0.316642i	$-0.897445\pi$
$953$	−33.8239	−	40.3097i	−1.09566	−	1.30576i	−0.147118	−	0.989119i	$-0.547000\pi$
$954$	3.53299	−	1.06581i	0.114385	−	0.0345067i
$955$	7.49907	+	8.93705i	0.242664	+	0.289196i
$956$	30.6677	−	29.1781i	0.991865	−	0.943688i
$957$	3.17326			0.102577
$958$	−1.18524	−	0.0665333i	−0.0382934	−	0.00214959i
$959$	0.596285	+	6.80866i	0.0192550	+	0.219863i
$960$	7.45542	−	13.2977i	0.240623	−	0.429180i
$961$	14.4779	−	25.0765i	0.467031	−	0.808921i
$962$	−0.382514	+	6.81420i	−0.0123327	+	0.219699i
$963$	−22.9294	+	8.34561i	−0.738889	+	0.268933i
$964$	−9.69162	−	14.6013i	−0.312146	−	0.470277i
$965$	−11.0030	−	30.2306i	−0.354200	−	0.973156i
$966$	−36.9335	−	5.32738i	−1.18832	−	0.171406i
$967$	14.4353	−	2.54533i	0.464207	−	0.0818522i	0.0633471	−	0.997992i	$-0.479822\pi$
$967$	14.4353	−	2.54533i	0.464207	−	0.0818522i	0.400860	+	0.916139i	$0.368711\pi$
$968$	−3.07512	+	1.14126i	−0.0988381	+	0.0366815i
$969$	−27.7058	−	3.12084i	−0.890038	−	0.100256i
$970$	−11.5908	−	22.9587i	−0.372158	−	0.737160i
$971$	−40.4849	+	33.9708i	−1.29922	+	1.09018i	−0.308943	+	0.951081i	$0.599975\pi$
$971$	−40.4849	+	33.9708i	−1.29922	+	1.09018i	−0.990279	+	0.139096i	$0.955580\pi$
$972$	25.3914	+	12.6186i	0.814428	+	0.404743i
$973$	2.36866	−	5.08077i	0.0759357	−	0.162882i
$974$	−15.7097	−	21.0095i	−0.503373	−	0.673188i
$975$	2.98990	+	0.527201i	0.0957536	+	0.0168839i
$976$	−3.25799	−	0.743285i	−0.104286	−	0.0237920i
$977$			48.5653i			1.55374i	0.629661	+	0.776870i	$0.283194\pi$
$977$			48.5653i			1.55374i	−0.629661	+	0.776870i	$0.716806\pi$
$978$	−5.17799	+	22.0541i	−0.165574	+	0.705213i
$979$	6.11817	−	34.6979i	0.195538	−	1.10895i
$980$	−17.9166	−	13.2169i	−0.572325	−	0.422197i
$981$	26.0689	+	15.0509i	0.832315	+	0.480537i
$982$	−22.0587	−	20.7238i	−0.703921	−	0.661324i
$983$	6.56310	−	5.50709i	0.209330	−	0.175649i	−0.532094	−	0.846685i	$-0.678595\pi$
$983$	6.56310	−	5.50709i	0.209330	−	0.175649i	0.741425	+	0.671036i	$0.234150\pi$
$984$	5.72171	−	16.0341i	0.182401	−	0.511149i
$985$	14.4241	+	5.24993i	0.459589	+	0.167277i
$986$	−5.85683	−	2.51180i	−0.186519	−	0.0799921i
$987$	−12.5434	+	12.5456i	−0.399260	+	0.399331i
$988$	−8.23725	−	3.47153i	−0.262062	−	0.110444i
$989$	43.3690	+	75.1174i	1.37906	+	2.38859i
$990$	−8.83736	+	6.60809i	−0.280870	+	0.210019i
$991$	1.54938	+	8.78697i	0.0492177	+	0.279127i	0.999477	−	0.0323319i	$-0.0102934\pi$
$991$	1.54938	+	8.78697i	0.0492177	+	0.279127i	−0.950260	+	0.311459i	$0.899182\pi$
$992$	−7.26520	−	3.55361i	−0.230670	−	0.112827i
$993$	−1.85298	−	0.674431i	−0.0588027	−	0.0214024i
$994$	−39.1258	+	1.22420i	−1.24100	+	0.0388294i
$995$	−10.5580	−	6.09565i	−0.334710	−	0.193245i
$996$	0.982300	−	8.72192i	0.0311254	−	0.276365i
$997$	9.46409	+	7.94132i	0.299731	+	0.251504i	0.780232	−	0.625490i	$-0.215101\pi$
$997$	9.46409	+	7.94132i	0.299731	+	0.251504i	−0.480501	+	0.876994i	$0.659545\pi$
$998$	6.90064	−	2.08173i	0.218436	−	0.0658960i
$999$	22.2923	+	12.8704i	0.705296	+	0.407203i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	532.2.bs.a.67.3	✓	456
4.3	odd	2	inner	532.2.bs.a.67.46	yes	456
7.2	even	3		532.2.ce.a.219.55	yes	456
19.2	odd	18		532.2.ce.a.515.6	yes	456
28.23	odd	6		532.2.ce.a.219.6	yes	456
76.59	even	18		532.2.ce.a.515.55	yes	456
133.2	odd	18	inner	532.2.bs.a.135.46	yes	456
532.135	even	18	inner	532.2.bs.a.135.3	yes	456

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
532.2.bs.a.67.3	✓	456	1.1	even	1	trivial
532.2.bs.a.67.46	yes	456	4.3	odd	2	inner
532.2.bs.a.135.3	yes	456	532.135	even	18	inner
532.2.bs.a.135.46	yes	456	133.2	odd	18	inner
532.2.ce.a.219.6	yes	456	28.23	odd	6
532.2.ce.a.219.55	yes	456	7.2	even	3
532.2.ce.a.515.6	yes	456	19.2	odd	18
532.2.ce.a.515.55	yes	456	76.59	even	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:	\( N \)	\(=\)	\( 532 = 2^{2} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	532.bs (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40430 + 0.167132i) q^{2} +(0.208081 + 1.18008i) q^{3} +(1.94413 - 0.469408i) q^{4} +(-0.276151 - 1.56613i) q^{5} +(-0.489438 - 1.62242i) q^{6} +(2.55554 - 0.684996i) q^{7} +(-2.65170 + 0.984118i) q^{8} +(1.46978 - 0.534955i) q^{9} +O(q^{10})\)	\(q+(-1.40430 + 0.167132i) q^{2} +(0.208081 + 1.18008i) q^{3} +(1.94413 - 0.469408i) q^{4} +(-0.276151 - 1.56613i) q^{5} +(-0.489438 - 1.62242i) q^{6} +(2.55554 - 0.684996i) q^{7} +(-2.65170 + 0.984118i) q^{8} +(1.46978 - 0.534955i) q^{9} +(0.649551 + 2.15317i) q^{10} +3.13693i q^{11} +(0.958477 + 2.19657i) q^{12} +(0.659090 - 0.785472i) q^{13} +(-3.47427 + 1.38905i) q^{14} +(1.79071 - 0.651764i) q^{15} +(3.55931 - 1.82518i) q^{16} +(-5.01598 - 1.82567i) q^{17} +(-1.97461 + 0.996886i) q^{18} +(-0.271661 - 4.35043i) q^{19} +(-1.27203 - 2.91514i) q^{20} +(1.34011 + 2.87322i) q^{21} +(-0.524281 - 4.40520i) q^{22} +(5.34976 - 6.37560i) q^{23} +(-1.71311 - 2.92445i) q^{24} +(2.32195 - 0.845121i) q^{25} +(-0.794284 + 1.21320i) q^{26} +(2.73456 + 4.73639i) q^{27} +(4.64677 - 2.53131i) q^{28} +(-0.831365 - 0.146592i) q^{29} +(-2.40576 + 1.21456i) q^{30} +(0.714860 + 1.23817i) q^{31} +(-4.69331 + 3.15799i) q^{32} +(-3.70184 + 0.652734i) q^{33} +(7.34908 + 1.72546i) q^{34} +(-1.77851 - 3.81315i) q^{35} +(2.60633 - 1.72995i) q^{36} +(4.07603 - 2.35329i) q^{37} +(1.10859 + 6.06391i) q^{38} +(1.06407 + 0.614339i) q^{39} +(2.27353 + 3.88115i) q^{40} +(3.22874 + 3.84786i) q^{41} +(-2.36213 - 3.81089i) q^{42} +(-3.56447 + 9.79329i) q^{43} +(1.47250 + 6.09861i) q^{44} +(-1.24369 - 2.15414i) q^{45} +(-6.44712 + 9.84739i) q^{46} +(1.91386 + 5.25828i) q^{47} +(2.89449 + 3.82050i) q^{48} +(6.06156 - 3.50107i) q^{49} +(-3.11948 + 1.57488i) q^{50} +(1.11071 - 6.29916i) q^{51} +(0.912651 - 1.83645i) q^{52} +(-1.64296 - 0.289698i) q^{53} +(-4.63175 - 6.19430i) q^{54} +(4.91285 - 0.866267i) q^{55} +(-6.10241 + 4.33136i) q^{56} +(5.07734 - 1.22582i) q^{57} +(1.19199 + 0.0669119i) q^{58} +(6.61623 + 2.40811i) q^{59} +(3.17543 - 2.10769i) q^{60} +(-0.639972 - 0.537001i) q^{61} +(-1.21082 - 1.61930i) q^{62} +(3.38963 - 2.37389i) q^{63} +(6.06302 - 5.21917i) q^{64} +(-1.41216 - 0.815312i) q^{65} +(5.08941 - 1.53533i) q^{66} +(3.41411 + 2.86478i) q^{67} +(-10.6087 - 1.19480i) q^{68} +(8.63692 + 4.98653i) q^{69} +(3.13487 + 5.05757i) q^{70} +(9.83100 + 3.57819i) q^{71} +(-3.37095 + 2.86498i) q^{72} +(-2.92928 - 16.6128i) q^{73} +(-5.33066 + 3.98597i) q^{74} +(1.48047 + 2.56424i) q^{75} +(-2.57027 - 8.33029i) q^{76} +(2.14878 + 8.01654i) q^{77} +(-1.59695 - 0.684879i) q^{78} +(-4.12796 - 1.50246i) q^{79} +(-3.84139 - 5.07033i) q^{80} +(-1.42581 + 1.19640i) q^{81} +(-5.17723 - 4.86394i) q^{82} +(-3.17167 - 1.83117i) q^{83} +(3.95407 + 4.95686i) q^{84} +(-1.47407 + 8.35985i) q^{85} +(3.36882 - 14.3485i) q^{86} -1.01158i q^{87} +(-3.08711 - 8.31819i) q^{88} +(-11.0611 - 1.95037i) q^{89} +(2.10655 + 2.81720i) q^{90} +(1.14628 - 2.45878i) q^{91} +(7.40790 - 14.9062i) q^{92} +(-1.31240 + 1.10124i) q^{93} +(-3.56646 - 7.06435i) q^{94} +(-6.73832 + 1.62683i) q^{95} +(-4.70327 - 4.88138i) q^{96} +(-11.2618 + 1.98576i) q^{97} +(-7.92713 + 5.92964i) q^{98} +(1.67812 + 4.61059i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9}+O(q^{10}) \) 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9	\( 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9} + 15 q^{10} - 36 q^{13} + 15 q^{14} - 3 q^{16} - 6 q^{17} - 24 q^{20} - 18 q^{21} - 6 q^{22} - 12 q^{24} - 6 q^{25} - 6 q^{26} - 27 q^{28} - 24 q^{29} + 3 q^{30} + 12 q^{32} + 66 q^{33} - 12 q^{34} - 81 q^{36} - 72 q^{38} - 33 q^{40} - 36 q^{41} - 87 q^{42} + 12 q^{44} + 6 q^{45} - 45 q^{48} - 6 q^{49} - 45 q^{50} - 3 q^{52} + 6 q^{53} - 39 q^{54} - 24 q^{57} - 42 q^{58} + 66 q^{60} - 18 q^{61} + 3 q^{62} - 6 q^{64} + 18 q^{65} + 75 q^{66} - 39 q^{68} - 36 q^{69} + 9 q^{70} - 54 q^{72} + 30 q^{73} - 57 q^{74} - 84 q^{76} - 18 q^{77} - 9 q^{78} - 3 q^{80} - 24 q^{81} + 117 q^{82} - 9 q^{84} - 78 q^{86} - 9 q^{88} - 30 q^{89} - 48 q^{90} + 30 q^{92} + 42 q^{93} - 57 q^{96} - 24 q^{97} + 60 q^{98}+O(q^{100}) \) 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9 + 15 * q^10 - 36 * q^13 + 15 * q^14 - 3 * q^16 - 6 * q^17 - 24 * q^20 - 18 * q^21 - 6 * q^22 - 12 * q^24 - 6 * q^25 - 6 * q^26 - 27 * q^28 - 24 * q^29 + 3 * q^30 + 12 * q^32 + 66 * q^33 - 12 * q^34 - 81 * q^36 - 72 * q^38 - 33 * q^40 - 36 * q^41 - 87 * q^42 + 12 * q^44 + 6 * q^45 - 45 * q^48 - 6 * q^49 - 45 * q^50 - 3 * q^52 + 6 * q^53 - 39 * q^54 - 24 * q^57 - 42 * q^58 + 66 * q^60 - 18 * q^61 + 3 * q^62 - 6 * q^64 + 18 * q^65 + 75 * q^66 - 39 * q^68 - 36 * q^69 + 9 * q^70 - 54 * q^72 + 30 * q^73 - 57 * q^74 - 84 * q^76 - 18 * q^77 - 9 * q^78 - 3 * q^80 - 24 * q^81 + 117 * q^82 - 9 * q^84 - 78 * q^86 - 9 * q^88 - 30 * q^89 - 48 * q^90 + 30 * q^92 + 42 * q^93 - 57 * q^96 - 24 * q^97 + 60 * q^98

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