LMFDB - Embedded newform 720.2.cq.a.173.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [720,2,Mod(173,720)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(720, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 9, 2, 9]))

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

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

chi := DirichletCharacter("720.173");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 720 = 2^{4} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	720.cq (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.74922894553$
Analytic rank:	$0$
Dimension:	$560$
Relative dimension:	$140$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			173.19
Character	$\chi$	$=$	720.173
Dual form			720.2.cq.a.437.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.29466 + 0.569091i) q^{2} +(-1.73119 - 0.0547502i) q^{3} +(1.35227 - 1.47356i) q^{4} +(0.776792 - 2.09681i) q^{5} +(2.27245 - 0.914320i) q^{6} +(-2.64311 + 0.708218i) q^{7} +(-0.912138 + 2.67731i) q^{8} +(2.99400 + 0.189565i) q^{9} +O(q^{10})$	\(q+(-1.29466 + 0.569091i) q^{2} +(-1.73119 - 0.0547502i) q^{3} +(1.35227 - 1.47356i) q^{4} +(0.776792 - 2.09681i) q^{5} +(2.27245 - 0.914320i) q^{6} +(-2.64311 + 0.708218i) q^{7} +(-0.912138 + 2.67731i) q^{8} +(2.99400 + 0.189565i) q^{9} +(0.187596 + 3.15671i) q^{10} +(1.24492 - 0.333576i) q^{11} +(-2.42171 + 2.47696i) q^{12} +(0.836974 - 0.483227i) q^{13} +(3.01887 - 2.42107i) q^{14} +(-1.45957 + 3.58743i) q^{15} +(-0.342731 - 3.98529i) q^{16} +(5.29320 + 5.29320i) q^{17} +(-3.98409 + 1.45844i) q^{18} +(0.144862 - 0.144862i) q^{19} +(-2.03933 - 3.98009i) q^{20} +(4.61448 - 1.08135i) q^{21} +(-1.42191 + 1.14034i) q^{22} +(0.222432 - 0.830126i) q^{23} +(1.72566 - 4.58499i) q^{24} +(-3.79319 - 3.25756i) q^{25} +(-0.808593 + 1.10193i) q^{26} +(-5.17280 - 0.492095i) q^{27} +(-2.53060 + 4.85247i) q^{28} +(1.11366 - 0.298405i) q^{29} +(-0.151933 - 5.47512i) q^{30} +(-4.43099 - 7.67470i) q^{31} +(2.71171 + 4.96454i) q^{32} +(-2.17346 + 0.509322i) q^{33} +(-9.86520 - 3.84056i) q^{34} +(-0.568147 + 6.09222i) q^{35} +(4.32804 - 4.15549i) q^{36} -3.34951i q^{37} +(-0.105107 + 0.269987i) q^{38} +(-1.47541 + 0.790731i) q^{39} +(4.90526 + 3.99229i) q^{40} +(0.212165 + 0.367480i) q^{41} +(-5.35879 + 4.02604i) q^{42} +(4.83666 - 8.37733i) q^{43} +(1.19193 - 2.28555i) q^{44} +(2.72320 - 6.13059i) q^{45} +(0.184445 + 1.20131i) q^{46} +(-6.81203 + 1.82528i) q^{47} +(0.375135 + 6.91804i) q^{48} +(0.422265 - 0.243795i) q^{49} +(6.76473 + 2.05875i) q^{50} +(-8.87371 - 9.45332i) q^{51} +(0.419753 - 1.88678i) q^{52} -13.6698i q^{53} +(6.97704 - 2.30670i) q^{54} +(0.267601 - 2.86948i) q^{55} +(0.514755 - 7.72242i) q^{56} +(-0.258715 + 0.242852i) q^{57} +(-1.27199 + 1.02011i) q^{58} +(8.08589 + 2.16661i) q^{59} +(3.31254 + 7.00193i) q^{60} +(0.972811 - 0.260664i) q^{61} +(10.1042 + 7.41446i) q^{62} +(-8.04773 + 1.61937i) q^{63} +(-6.33601 - 4.88416i) q^{64} +(-0.363079 - 2.13034i) q^{65} +(2.52403 - 1.89629i) q^{66} +(-1.10226 - 1.90918i) q^{67} +(14.9577 - 0.641987i) q^{68} +(-0.430520 + 1.42492i) q^{69} +(-2.73148 - 8.21066i) q^{70} +14.6510 q^{71} +(-3.23847 + 7.84298i) q^{72} +(5.29914 - 5.29914i) q^{73} +(1.90618 + 4.33646i) q^{74} +(6.38836 + 5.84712i) q^{75} +(-0.0175697 - 0.409356i) q^{76} +(-3.05422 + 1.76335i) q^{77} +(1.46015 - 1.86337i) q^{78} +(-4.90184 - 2.83008i) q^{79} +(-8.62261 - 2.37710i) q^{80} +(8.92813 + 1.13512i) q^{81} +(-0.483811 - 0.355020i) q^{82} +(1.90266 - 3.29551i) q^{83} +(4.64660 - 8.26197i) q^{84} +(15.2105 - 6.98711i) q^{85} +(-1.49434 + 13.5983i) q^{86} +(-1.94429 + 0.455621i) q^{87} +(-0.242453 + 3.63732i) q^{88} -11.0034i q^{89} +(-0.0367393 + 9.48676i) q^{90} +(-1.86998 + 1.86998i) q^{91} +(-0.922449 - 1.45032i) q^{92} +(7.25067 + 13.5289i) q^{93} +(7.78048 - 6.23977i) q^{94} +(-0.191220 - 0.416276i) q^{95} +(-4.42267 - 8.74300i) q^{96} +(-3.50947 - 13.0975i) q^{97} +(-0.407947 + 0.555938i) q^{98} +(3.79054 - 0.762734i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 560 q - 6 q^{2} - 6 q^{5} - 8 q^{6}+O(q^{10}) $ 560 * q - 6 * q^2 - 6 * q^5 - 8 * q^6	$ 560 q - 6 q^{2} - 6 q^{5} - 8 q^{6} - 12 q^{11} - 10 q^{12} - 8 q^{15} - 4 q^{16} + 20 q^{18} - 6 q^{20} - 8 q^{21} + 6 q^{22} - 24 q^{24} + 8 q^{28} + 28 q^{30} - 8 q^{31} + 54 q^{32} - 8 q^{33} - 12 q^{34} + 8 q^{36} - 18 q^{38} - 24 q^{39} + 8 q^{40} - 46 q^{42} - 4 q^{43} - 14 q^{45} - 40 q^{46} - 12 q^{47} - 22 q^{48} - 6 q^{50} - 8 q^{51} - 18 q^{52} + 24 q^{54} - 12 q^{56} + 24 q^{57} - 10 q^{58} - 88 q^{60} - 4 q^{61} + 20 q^{63} - 24 q^{64} - 12 q^{65} + 24 q^{66} - 4 q^{67} - 30 q^{68} + 12 q^{69} + 2 q^{70} - 22 q^{72} + 24 q^{74} - 66 q^{75} + 8 q^{76} - 12 q^{77} - 122 q^{78} - 16 q^{81} - 12 q^{84} - 12 q^{85} - 12 q^{86} + 12 q^{87} - 10 q^{88} - 94 q^{90} - 16 q^{91} - 120 q^{92} - 12 q^{95} + 48 q^{96} - 4 q^{97} + 32 q^{99}+O(q^{100}) $ 560 * q - 6 * q^2 - 6 * q^5 - 8 * q^6 - 12 * q^11 - 10 * q^12 - 8 * q^15 - 4 * q^16 + 20 * q^18 - 6 * q^20 - 8 * q^21 + 6 * q^22 - 24 * q^24 + 8 * q^28 + 28 * q^30 - 8 * q^31 + 54 * q^32 - 8 * q^33 - 12 * q^34 + 8 * q^36 - 18 * q^38 - 24 * q^39 + 8 * q^40 - 46 * q^42 - 4 * q^43 - 14 * q^45 - 40 * q^46 - 12 * q^47 - 22 * q^48 - 6 * q^50 - 8 * q^51 - 18 * q^52 + 24 * q^54 - 12 * q^56 + 24 * q^57 - 10 * q^58 - 88 * q^60 - 4 * q^61 + 20 * q^63 - 24 * q^64 - 12 * q^65 + 24 * q^66 - 4 * q^67 - 30 * q^68 + 12 * q^69 + 2 * q^70 - 22 * q^72 + 24 * q^74 - 66 * q^75 + 8 * q^76 - 12 * q^77 - 122 * q^78 - 16 * q^81 - 12 * q^84 - 12 * q^85 - 12 * q^86 + 12 * q^87 - 10 * q^88 - 94 * q^90 - 16 * q^91 - 120 * q^92 - 12 * q^95 + 48 * q^96 - 4 * q^97 + 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/720\mathbb{Z}\right)^\times$.

$n$	$181$	$271$	$577$	$641$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.29466	+	0.569091i	−0.915460	+	0.402408i
$2$	−1.29466	+	0.569091i	−0.915460	+	0.402408i
$3$	−1.73119	−	0.0547502i	−0.999500	−	0.0316100i
$3$	−1.73119	−	0.0547502i	−0.999500	−	0.0316100i
$4$	1.35227	−	1.47356i	0.676135	−	0.736778i
$5$	0.776792	−	2.09681i	0.347392	−	0.937720i
$5$	0.776792	−	2.09681i	0.347392	−	0.937720i
$6$	2.27245	−	0.914320i	0.927723	−	0.373270i
$7$	−2.64311	+	0.708218i	−0.999001	+	0.267681i	−0.721027	−	0.692907i	$-0.756330\pi$
$7$	−2.64311	+	0.708218i	−0.999001	+	0.267681i	−0.277974	+	0.960589i	$0.589663\pi$
$8$	−0.912138	+	2.67731i	−0.322489	+	0.946573i
$9$	2.99400	+	0.189565i	0.998002	+	0.0631884i
$10$	0.187596	+	3.15671i	0.0593230	+	0.998239i
$11$	1.24492	−	0.333576i	0.375358	−	0.100577i	−0.0662074	−	0.997806i	$-0.521090\pi$
$11$	1.24492	−	0.333576i	0.375358	−	0.100577i	0.441566	+	0.897229i	$0.354423\pi$
$12$	−2.42171	+	2.47696i	−0.699087	+	0.715037i
$13$	0.836974	−	0.483227i	0.232135	−	0.134023i	−0.379422	−	0.925224i	$-0.623877\pi$
$13$	0.836974	−	0.483227i	0.232135	−	0.134023i	0.611556	+	0.791201i	$0.290544\pi$
$14$	3.01887	−	2.42107i	0.806828	−	0.647058i
$15$	−1.45957	+	3.58743i	−0.376859	+	0.926270i
$16$	−0.342731	−	3.98529i	−0.0856827	−	0.996322i
$17$	5.29320	+	5.29320i	1.28379	+	1.28379i	0.938493	+	0.345297i	$0.112222\pi$
$17$	5.29320	+	5.29320i	1.28379	+	1.28379i	0.345297	+	0.938493i	$0.387778\pi$
$18$	−3.98409	+	1.45844i	−0.939058	+	0.343758i
$19$	0.144862	−	0.144862i	0.0332337	−	0.0332337i	−0.690295	−	0.723528i	$-0.742519\pi$
$19$	0.144862	−	0.144862i	0.0332337	−	0.0332337i	0.723528	+	0.690295i	$0.242519\pi$
$20$	−2.03933	−	3.98009i	−0.456008	−	0.889976i
$21$	4.61448	−	1.08135i	1.00696	−	0.235969i
$22$	−1.42191	+	1.14034i	−0.303153	+	0.243122i
$23$	0.222432	−	0.830126i	0.0463802	−	0.173093i	−0.938851	−	0.344325i	$-0.888108\pi$
$23$	0.222432	−	0.830126i	0.0463802	−	0.173093i	0.985231	+	0.171231i	$0.0547746\pi$
$24$	1.72566	−	4.58499i	0.352249	−	0.935906i
$25$	−3.79319	−	3.25756i	−0.758638	−	0.651512i
$26$	−0.808593	+	1.10193i	−0.158578	+	0.216106i
$27$	−5.17280	−	0.492095i	−0.995506	−	0.0947037i
$28$	−2.53060	+	4.85247i	−0.478238	+	0.917030i
$29$	1.11366	−	0.298405i	0.206802	−	0.0554124i	−0.153931	−	0.988082i	$-0.549193\pi$
$29$	1.11366	−	0.298405i	0.206802	−	0.0554124i	0.360733	+	0.932669i	$0.382527\pi$
$30$	−0.151933	−	5.47512i	−0.0277391	−	0.999615i
$31$	−4.43099	−	7.67470i	−0.795829	−	1.37842i	−0.922312	−	0.386447i	$-0.873702\pi$
$31$	−4.43099	−	7.67470i	−0.795829	−	1.37842i	0.126483	−	0.991969i	$-0.459631\pi$
$32$	2.71171	+	4.96454i	0.479368	+	0.877614i
$33$	−2.17346	+	0.509322i	−0.378350	+	0.0886616i
$34$	−9.86520	−	3.84056i	−1.69187	−	0.658651i
$35$	−0.568147	+	6.09222i	−0.0960343	+	1.02977i
$36$	4.32804	−	4.15549i	0.721340	−	0.692581i
$37$		−	3.34951i		−	0.550656i	−0.961350	−	0.275328i	$-0.911214\pi$
$37$		−	3.34951i		−	0.550656i	0.961350	−	0.275328i	$-0.0887864\pi$
$38$	−0.105107	+	0.269987i	−0.0170506	+	0.0437976i
$39$	−1.47541	+	0.790731i	−0.236255	+	0.126618i
$40$	4.90526	+	3.99229i	0.775590	+	0.631236i
$41$	0.212165	+	0.367480i	0.0331346	+	0.0573908i	0.882117	−	0.471030i	$-0.156118\pi$
$41$	0.212165	+	0.367480i	0.0331346	+	0.0573908i	−0.848983	+	0.528421i	$0.822784\pi$
$42$	−5.35879	+	4.02604i	−0.826879	+	0.621231i
$43$	4.83666	−	8.37733i	0.737583	−	1.27753i	−0.215998	−	0.976394i	$-0.569300\pi$
$43$	4.83666	−	8.37733i	0.737583	−	1.27753i	0.953581	−	0.301138i	$-0.0973663\pi$
$44$	1.19193	−	2.28555i	0.179690	−	0.344559i
$45$	2.72320	−	6.13059i	0.405951	−	0.913895i
$46$	0.184445	+	1.20131i	0.0271949	+	0.177124i
$47$	−6.81203	+	1.82528i	−0.993636	+	0.266244i	−0.718777	−	0.695241i	$-0.755298\pi$
$47$	−6.81203	+	1.82528i	−0.993636	+	0.266244i	−0.274859	+	0.961485i	$0.588631\pi$
$48$	0.375135	+	6.91804i	0.0541461	+	0.998533i
$49$	0.422265	−	0.243795i	0.0603236	−	0.0348279i
$50$	6.76473	+	2.05875i	0.956677	+	0.291152i
$51$	−8.87371	−	9.45332i	−1.24257	−	1.32373i
$52$	0.419753	−	1.88678i	0.0582092	−	0.261649i
$53$		−	13.6698i		−	1.87769i	−0.344343	−	0.938844i	$-0.611898\pi$
$53$		−	13.6698i		−	1.87769i	0.344343	−	0.938844i	$-0.388102\pi$
$54$	6.97704	−	2.30670i	0.949455	−	0.313902i
$55$	0.267601	−	2.86948i	0.0360833	−	0.386921i
$56$	0.514755	−	7.72242i	0.0687870	−	1.03195i
$57$	−0.258715	+	0.242852i	−0.0342676	+	0.0321666i
$58$	−1.27199	+	1.02011i	−0.167020	+	0.133947i
$59$	8.08589	+	2.16661i	1.05269	+	0.282068i	0.743365	−	0.668887i	$-0.233229\pi$
$59$	8.08589	+	2.16661i	1.05269	+	0.282068i	0.309329	+	0.950955i	$0.399895\pi$
$60$	3.31254	+	7.00193i	0.427647	+	0.903946i
$61$	0.972811	−	0.260664i	0.124556	−	0.0333746i	−0.196003	−	0.980603i	$-0.562796\pi$
$61$	0.972811	−	0.260664i	0.124556	−	0.0333746i	0.320558	+	0.947229i	$0.396129\pi$
$62$	10.1042	+	7.41446i	1.28324	+	0.941637i
$63$	−8.04773	+	1.61937i	−1.01392	+	0.204021i
$64$	−6.33601	−	4.88416i	−0.792001	−	0.610519i
$65$	−0.363079	−	2.13034i	−0.0450344	−	0.264236i
$66$	2.52403	−	1.89629i	0.310686	−	0.233417i
$67$	−1.10226	−	1.90918i	−0.134663	−	0.233243i	0.790806	−	0.612067i	$-0.209662\pi$
$67$	−1.10226	−	1.90918i	−0.134663	−	0.233243i	−0.925469	+	0.378824i	$0.876328\pi$
$68$	14.9577	−	0.641987i	1.81388	−	0.0778524i
$69$	−0.430520	+	1.42492i	−0.0518285	+	0.171541i
$70$	−2.73148	−	8.21066i	−0.326474	−	0.981362i
$71$	14.6510			1.73876			0.869379	−	0.494146i	$-0.164519\pi$
$71$	14.6510			1.73876			0.869379	+	0.494146i	$0.164519\pi$
$72$	−3.23847	+	7.84298i	−0.381657	+	0.924304i
$73$	5.29914	−	5.29914i	0.620218	−	0.620218i	−0.325369	−	0.945587i	$-0.605489\pi$
$73$	5.29914	−	5.29914i	0.620218	−	0.620218i	0.945587	+	0.325369i	$0.105489\pi$
$74$	1.90618	+	4.33646i	0.221588	+	0.504104i
$75$	6.38836	+	5.84712i	0.737665	+	0.675167i
$76$	−0.0175697	−	0.409356i	−0.00201538	−	0.0469563i
$77$	−3.05422	+	1.76335i	−0.348061	+	0.200953i
$78$	1.46015	−	1.86337i	0.165330	−	0.210985i
$79$	−4.90184	−	2.83008i	−0.551500	−	0.318409i	0.198227	−	0.980156i	$-0.436482\pi$
$79$	−4.90184	−	2.83008i	−0.551500	−	0.318409i	−0.749727	+	0.661747i	$0.769815\pi$
$80$	−8.62261	−	2.37710i	−0.964037	−	0.265768i
$81$	8.92813	+	1.13512i	0.992014	+	0.126124i
$82$	−0.483811	−	0.355020i	−0.0534279	−	0.0392054i
$83$	1.90266	−	3.29551i	0.208844	−	0.361729i	−0.742506	−	0.669839i	$-0.766363\pi$
$83$	1.90266	−	3.29551i	0.208844	−	0.361729i	0.951351	+	0.308110i	$0.0996964\pi$
$84$	4.64660	−	8.26197i	0.506986	−	0.901455i
$85$	15.2105	−	6.98711i	1.64981	−	0.757858i
$86$	−1.49434	+	13.5983i	−0.161139	+	1.46634i
$87$	−1.94429	+	0.455621i	−0.208450	+	0.0488477i
$88$	−0.242453	+	3.63732i	−0.0258456	+	0.387739i
$89$		−	11.0034i		−	1.16635i	−0.812345	−	0.583177i	$-0.801810\pi$
$89$		−	11.0034i		−	1.16635i	0.812345	−	0.583177i	$-0.198190\pi$
$90$	−0.0367393	+	9.48676i	−0.00387266	+	0.999993i
$91$	−1.86998	+	1.86998i	−0.196027	+	0.196027i
$92$	−0.922449	−	1.45032i	−0.0961720	−	0.151206i
$93$	7.25067	+	13.5289i	0.751859	+	1.40288i
$94$	7.78048	−	6.23977i	0.802496	−	0.643583i
$95$	−0.191220	−	0.416276i	−0.0196188	−	0.0427090i
$96$	−4.42267	−	8.74300i	−0.451387	−	0.892328i
$97$	−3.50947	−	13.0975i	−0.356332	−	1.32985i	−0.878800	−	0.477191i	$-0.841655\pi$
$97$	−3.50947	−	13.0975i	−0.356332	−	1.32985i	0.522467	−	0.852659i	$-0.325012\pi$
$98$	−0.407947	+	0.555938i	−0.0412089	+	0.0561583i
$99$	3.79054	−	0.762734i	0.380964	−	0.0766577i
$100$	−9.92962	+	1.18437i	−0.992962	+	0.118437i
$101$	−4.24051	+	1.13624i	−0.421946	+	0.113060i	−0.463543	−	0.886074i	$-0.653422\pi$
$101$	−4.24051	+	1.13624i	−0.421946	+	0.113060i	0.0415969	+	0.999134i	$0.486755\pi$
$102$	16.8682	+	7.18885i	1.67020	+	0.711802i
$103$	−1.97599	−	0.529464i	−0.194700	−	0.0521696i	0.160151	−	0.987092i	$-0.448802\pi$
$103$	−1.97599	−	0.529464i	−0.194700	−	0.0521696i	−0.354851	+	0.934923i	$0.615468\pi$
$104$	0.530315	+	2.68161i	0.0520016	+	0.262953i
$105$	1.31712	−	10.5157i	0.128537	−	1.02622i
$106$	7.77935	+	17.6977i	0.755597	+	1.71895i
$107$	−0.411490			−0.0397803			−0.0198901	−	0.999802i	$-0.506332\pi$
$107$	−0.411490			−0.0397803			−0.0198901	+	0.999802i	$0.506332\pi$
$108$	−7.72015	+	6.95696i	−0.742872	+	0.669434i
$109$	−3.08612	+	3.08612i	−0.295596	+	0.295596i	−0.839286	−	0.543690i	$-0.817027\pi$
$109$	−3.08612	+	3.08612i	−0.295596	+	0.295596i	0.543690	+	0.839286i	$0.317027\pi$
$110$	1.28654	+	3.86728i	0.122667	+	0.368731i
$111$	−0.183386	+	5.79862i	−0.0174062	+	0.550381i
$112$	3.72833	+	10.2908i	0.352294	+	0.972391i
$113$	−13.3628	−	3.58055i	−1.25706	−	0.336829i	−0.432003	−	0.901872i	$-0.642193\pi$
$113$	−13.3628	−	3.58055i	−1.25706	−	0.336829i	−0.825062	+	0.565043i	$0.808860\pi$
$114$	0.196742	−	0.461643i	0.0184265	−	0.0432368i
$115$	−1.56783	−	1.11123i	−0.146201	−	0.103623i
$116$	1.06626	−	2.04457i	0.0989993	−	0.189833i
$117$	2.59751	−	1.28812i	0.240140	−	0.119087i
$118$	−11.7015	+	1.79660i	−1.07721	+	0.165390i
$119$	−17.7393	−	10.2418i	−1.62615	−	0.938861i
$120$	−8.27334	−	7.17996i	−0.755250	−	0.655437i
$121$	−8.08772	+	4.66945i	−0.735247	+	0.424495i
$122$	−1.11111	+	0.891088i	−0.100596	+	0.0806753i
$123$	−0.347177	−	0.647793i	−0.0313039	−	0.0584095i
$124$	−17.3010	−	3.84896i	−1.55367	−	0.345647i
$125$	−9.77699	+	5.42314i	−0.874481	+	0.485060i
$126$	9.49748	−	6.67642i	0.846102	−	0.594783i
$127$	−3.83969	+	3.83969i	−0.340717	+	0.340717i	−0.856637	−	0.515920i	$-0.827450\pi$
$127$	−3.83969	+	3.83969i	−0.340717	+	0.340717i	0.515920	+	0.856637i	$0.327450\pi$
$128$	10.9825	+	2.71754i	0.970724	+	0.240198i
$129$	−8.83181	+	14.2379i	−0.777597	+	1.25358i
$130$	1.68242	+	2.55143i	0.147558	+	0.223775i
$131$	17.8204	+	4.77496i	1.55697	+	0.417190i	0.931704	−	0.363218i	$-0.118322\pi$
$131$	17.8204	+	4.77496i	1.55697	+	0.417190i	0.625271	+	0.780408i	$0.284989\pi$
$132$	−2.18858	+	3.89145i	−0.190492	+	0.338707i
$133$	−0.280293	+	0.485481i	−0.0243044	+	0.0420965i
$134$	2.51355	+	1.84444i	0.217137	+	0.159335i
$135$	−5.05001	+	10.4641i	−0.434636	+	0.900606i
$136$	−18.9997	+	9.34344i	−1.62921	+	0.801193i
$137$	−2.10223	−	7.84564i	−0.179606	−	0.670298i	−0.995721	−	0.0924089i	$-0.970543\pi$
$137$	−2.10223	−	7.84564i	−0.179606	−	0.670298i	0.816115	−	0.577889i	$-0.196123\pi$
$138$	−0.253537	−	2.08979i	−0.0215825	−	0.177895i
$139$	−1.93991	+	7.23983i	−0.164541	+	0.614074i	0.833558	+	0.552432i	$0.186300\pi$
$139$	−1.93991	+	7.23983i	−0.164541	+	0.614074i	−0.998098	+	0.0616416i	$0.980366\pi$
$140$	8.20894	+	9.07552i	0.693782	+	0.767022i
$141$	11.8928	−	2.78693i	1.00156	−	0.234702i
$142$	−18.9681	+	8.33778i	−1.59176	+	0.699691i
$143$	0.880775	−	0.880775i	0.0736541	−	0.0736541i
$144$	−0.270665	−	11.9969i	−0.0225554	−	0.999746i
$145$	0.239386	−	2.56693i	0.0198799	−	0.213172i
$146$	−3.84487	+	9.87626i	−0.318204	+	0.817365i
$147$	−0.744367	+	0.398935i	−0.0613944	+	0.0329036i
$148$	−4.93569	−	4.52944i	−0.405711	−	0.372318i
$149$	−14.0828	−	3.77347i	−1.15371	−	0.309134i	−0.369256	−	0.929328i	$-0.620387\pi$
$149$	−14.0828	−	3.77347i	−1.15371	−	0.309134i	−0.784449	+	0.620193i	$0.787054\pi$
$150$	−11.5983	−	3.93445i	−0.946996	−	0.321247i
$151$	4.31195	+	2.48951i	0.350902	+	0.202593i	0.665082	−	0.746770i	$-0.268396\pi$
$151$	4.31195	+	2.48951i	0.350902	+	0.202593i	−0.314181	+	0.949363i	$0.601730\pi$
$152$	0.255707	+	0.519976i	0.0207406	+	0.0421756i
$153$	14.8445	+	16.8513i	1.20010	+	1.36235i
$154$	2.95066	−	4.02107i	0.237771	−	0.324027i
$155$	−19.5343	+	3.32928i	−1.56903	+	0.267414i
$156$	−0.829971	+	3.24338i	−0.0664509	+	0.259679i
$157$	9.67660	+	16.7604i	0.772276	+	1.33762i	0.936313	+	0.351168i	$0.114215\pi$
$157$	9.67660	+	16.7604i	0.772276	+	1.33762i	−0.164036	+	0.986454i	$0.552451\pi$
$158$	7.95678	+	0.874385i	0.633007	+	0.0695624i
$159$	−0.748422	+	23.6649i	−0.0593537	+	1.87675i
$160$	12.5161	−	1.82953i	0.989485	−	0.144637i
$161$			2.35164i			0.185335i
$162$	−12.2048	+	3.61133i	−0.958903	+	0.283733i
$163$		−	10.9594i		−	0.858405i	−0.903208	−	0.429202i	$-0.858795\pi$
$163$		−	10.9594i		−	0.858405i	0.903208	−	0.429202i	$-0.141205\pi$
$164$	0.828407	+	0.184296i	0.0646877	+	0.0143911i
$165$	−0.620372	+	4.95295i	−0.0482959	+	0.385587i
$166$	−0.587849	+	5.34934i	−0.0456260	+	0.415189i
$167$	−6.50039	−	1.74177i	−0.503015	−	0.134782i	−0.00161612	−	0.999999i	$-0.500514\pi$
$167$	−6.50039	−	1.74177i	−0.503015	−	0.134782i	−0.501399	+	0.865216i	$0.667181\pi$
$168$	−1.31394	+	13.3408i	−0.101373	+	1.02926i
$169$	−6.03298	+	10.4494i	−0.464076	+	0.803803i
$170$	−15.7161	+	17.7021i	−1.20537	+	1.35769i
$171$	0.461179	−	0.406258i	0.0352673	−	0.0310673i
$172$	−5.80400	−	18.4555i	−0.442551	−	1.40722i
$173$	9.29207	−	16.0943i	0.706463	−	1.22363i	−0.259698	−	0.965690i	$-0.583623\pi$
$173$	9.29207	−	16.0943i	0.706463	−	1.22363i	0.966161	−	0.257940i	$-0.0830437\pi$
$174$	2.25790	−	1.69635i	0.171171	−	0.128600i
$175$	12.3329	+	5.92368i	0.932278	+	0.447788i
$176$	−1.75607	−	4.84705i	−0.132369	−	0.365360i
$177$	−13.8796	−	4.19351i	−1.04325	−	0.315203i
$178$	6.26191	+	14.2456i	0.469350	+	1.06775i
$179$	8.63168	+	8.63168i	0.645162	+	0.645162i	0.951820	−	0.306658i	$-0.0992107\pi$
$179$	8.63168	+	8.63168i	0.645162	+	0.645162i	−0.306658	+	0.951820i	$0.599211\pi$
$180$	−5.35127	−	12.3030i	−0.398860	−	0.917012i
$181$	17.5734	−	17.5734i	1.30622	−	1.30622i	0.382093	−	0.924124i	$-0.375203\pi$
$181$	17.5734	−	17.5734i	1.30622	−	1.30622i	0.924124	−	0.382093i	$-0.124797\pi$
$182$	1.35679	−	3.48517i	0.100572	−	0.258338i
$183$	−1.69839	+	0.397996i	−0.125548	+	0.0294207i
$184$	2.01962	+	1.35271i	0.148888	+	0.0997230i
$185$	−7.02327	−	2.60187i	−0.516361	−	0.191293i
$186$	−17.0863	−	13.3890i	−1.25283	−	0.981730i
$187$	8.35532	+	4.82394i	0.611001	+	0.352762i
$188$	−6.52205	+	12.5062i	−0.475670	+	0.912106i
$189$	14.0208	−	2.36281i	1.01986	−	0.171869i
$190$	0.484464	+	0.430113i	0.0351467	+	0.0312036i
$191$	−7.38582	−	4.26420i	−0.534419	−	0.308547i	0.208395	−	0.978045i	$-0.433176\pi$
$191$	−7.38582	−	4.26420i	−0.534419	−	0.308547i	−0.742814	+	0.669498i	$0.766509\pi$
$192$	10.7014	+	8.80228i	0.772307	+	0.635250i
$193$	−4.64489	+	17.3350i	−0.334346	+	1.24780i	0.570229	+	0.821485i	$0.306854\pi$
$193$	−4.64489	+	17.3350i	−0.334346	+	1.24780i	−0.904576	+	0.426313i	$0.859812\pi$
$194$	11.9972	+	14.9596i	0.861351	+	1.07403i
$195$	0.511921	+	3.70789i	0.0366594	+	0.265527i
$196$	0.211771	−	0.951908i	0.0151265	−	0.0679934i
$197$	0.161110			0.0114786			0.00573929	−	0.999984i	$-0.498173\pi$
$197$	0.161110			0.0114786			0.00573929	+	0.999984i	$0.498173\pi$
$198$	−4.47338	+	3.14464i	−0.317909	+	0.223480i
$199$	−13.7512			−0.974794			−0.487397	−	0.873181i	$-0.662053\pi$
$199$	−13.7512			−0.974794			−0.487397	+	0.873181i	$0.662053\pi$
$200$	12.1814	−	7.18421i	0.861357	−	0.508000i
$201$	1.80369	+	3.36549i	0.127223	+	0.237383i
$202$	4.84338	−	3.88428i	0.340779	−	0.273297i
$203$	−2.73219	+	1.57743i	−0.191762	+	0.110714i
$204$	−25.9297	+	0.292464i	−1.81544	+	0.0204766i
$205$	0.935343	−	0.159413i	0.0653272	−	0.0111339i
$206$	2.85954	−	0.439043i	0.199233	−	0.0305896i
$207$	0.823325	−	2.44324i	0.0572250	−	0.169817i
$208$	−2.21266	−	3.16997i	−0.153420	−	0.219798i
$209$	0.132020	−	0.228665i	0.00913200	−	0.0158171i
$210$	4.27916	+	14.3637i	0.295290	+	0.991191i
$211$	4.64839	−	17.3480i	0.320008	−	1.19429i	−0.599227	−	0.800579i	$-0.704525\pi$
$211$	4.64839	−	17.3480i	0.320008	−	1.19429i	0.919235	−	0.393709i	$-0.128808\pi$
$212$	−20.1432	−	18.4852i	−1.38344	−	1.26957i
$213$	−25.3637	−	0.802146i	−1.73789	−	0.0549622i
$214$	0.532739	−	0.234176i	0.0364173	−	0.0160079i
$215$	−13.8086	−	16.6490i	−0.941737	−	1.13545i
$216$	6.03580	−	13.4003i	0.410684	−	0.911778i
$217$	17.1469	+	17.1469i	1.16401	+	1.16401i
$218$	2.23918	−	5.75174i	0.151656	−	0.389557i
$219$	−9.46393	+	8.88367i	−0.639513	+	0.600303i
$220$	−3.86647	−	4.27464i	−0.260677	−	0.288196i
$221$	6.98809	+	1.87245i	0.470070	+	0.125955i
$222$	−3.06252	−	7.61158i	−0.205543	−	0.510856i
$223$	25.5477	−	6.84549i	1.71080	−	0.458408i	0.735180	−	0.677872i	$-0.237098\pi$
$223$	25.5477	−	6.84549i	1.71080	−	0.458408i	0.975621	+	0.219464i	$0.0704310\pi$
$224$	−10.6833	−	11.2013i	−0.713810	−	0.748419i
$225$	−10.7393	−	10.4722i	−0.715954	−	0.698148i
$226$	19.3379	−	2.96906i	1.28634	−	0.197499i
$227$	19.2444	+	11.1108i	1.27730	+	0.737447i	0.976350	−	0.216195i	$-0.0693646\pi$
$227$	19.2444	+	11.1108i	1.27730	+	0.737447i	0.300945	+	0.953641i	$0.402698\pi$
$228$	0.00800404	+	0.709632i	0.000530081	+	0.0469966i
$229$	4.65835	−	17.3852i	0.307832	−	1.14885i	−0.622647	−	0.782503i	$-0.713943\pi$
$229$	4.65835	−	17.3852i	0.307832	−	1.14885i	0.930480	−	0.366343i	$-0.119390\pi$
$230$	2.66219	+	0.546424i	0.175540	+	0.0360301i
$231$	5.38396	−	2.88547i	0.354239	−	0.189850i
$232$	−0.216890	+	3.25381i	−0.0142395	+	0.213623i
$233$	13.9366	+	13.9366i	0.913015	+	0.913015i	0.996508	−	0.0834937i	$-0.0266078\pi$
$233$	13.9366	+	13.9366i	0.913015	+	0.913015i	−0.0834937	+	0.996508i	$0.526608\pi$
$234$	−2.62982	+	3.14589i	−0.171917	+	0.205654i
$235$	−1.46427	+	15.7014i	−0.0955186	+	1.02424i
$236$	14.1269	−	8.98517i	0.919585	−	0.584885i
$237$	8.33105	+	5.16777i	0.541160	+	0.335683i
$238$	28.7947	+	3.16431i	1.86649	+	0.205112i
$239$	−8.11373	−	14.0534i	−0.524833	−	0.909038i	−0.999582	−	0.0289164i	$-0.990794\pi$
$239$	−8.11373	−	14.0534i	−0.524833	−	0.909038i	0.474749	−	0.880121i	$-0.342539\pi$
$240$	14.7972	+	4.58729i	0.955154	+	0.296108i
$241$	3.85015	−	6.66866i	0.248010	−	0.429566i	−0.714963	−	0.699162i	$-0.753557\pi$
$241$	3.85015	−	6.66866i	0.248010	−	0.429566i	0.962974	+	0.269596i	$0.0868900\pi$
$242$	7.81348	−	10.6480i	0.502269	−	0.684478i
$243$	−15.3941	−	2.45392i	−0.987532	−	0.157419i
$244$	0.931400	−	1.78598i	0.0596268	−	0.114336i
$245$	−0.183179	−	1.07479i	−0.0117029	−	0.0686656i
$246$	0.818129	+	0.641094i	0.0521620	+	0.0408746i
$247$	0.0512446	−	0.191247i	0.00326061	−	0.0121688i
$248$	24.5892	−	4.86276i	1.56142	−	0.308786i
$249$	−3.47429	+	5.60097i	−0.220174	+	0.354947i
$250$	9.57159	−	12.5851i	0.605360	−	0.795952i
$251$	3.86154	+	3.86154i	0.243738	+	0.243738i	0.818395	−	0.574656i	$-0.194864\pi$
$251$	3.86154	+	3.86154i	0.243738	+	0.243738i	−0.574656	+	0.818395i	$0.694864\pi$
$252$	−8.49648	+	14.0486i	−0.535228	+	0.884979i
$253$		−	1.10764i		−	0.0696368i
$254$	2.78594	−	7.15621i	0.174806	−	0.449020i
$255$	−26.7148	+	11.2632i	−1.67295	+	0.705329i
$256$	−15.7651	+	2.73176i	−0.985317	+	0.170735i
$257$	2.83006	−	10.5619i	0.176534	−	0.658835i	−0.819751	−	0.572720i	$-0.805888\pi$
$257$	2.83006	−	10.5619i	0.176534	−	0.658835i	0.996285	−	0.0861150i	$-0.0274453\pi$
$258$	3.33149	−	23.4593i	0.207409	−	1.46051i
$259$	2.37218	+	8.85311i	0.147400	+	0.550106i
$260$	−3.63015	−	2.34578i	−0.225132	−	0.145479i
$261$	3.39088	−	0.682314i	0.209890	−	0.0422342i
$262$	−25.7887	+	3.95950i	−1.59323	+	0.244619i
$263$	−8.30441	+	2.22516i	−0.512072	+	0.137209i	−0.505597	−	0.862770i	$-0.668728\pi$
$263$	−8.30441	+	2.22516i	−0.512072	+	0.137209i	−0.00647492	+	0.999979i	$0.502061\pi$
$264$	0.618875	−	6.28359i	0.0380891	−	0.386728i
$265$	−28.6629	−	10.6186i	−1.76075	−	0.652293i
$266$	0.0865995	−	0.788043i	0.00530976	−	0.0483180i
$267$	−0.602435	+	19.0488i	−0.0368684	+	1.16577i
$268$	−4.30383	−	0.957476i	−0.262898	−	0.0584871i
$269$	15.0084	+	15.0084i	0.915078	+	0.915078i	0.996666	−	0.0815886i	$-0.0259993\pi$
$269$	15.0084	+	15.0084i	0.915078	+	0.915078i	−0.0815886	+	0.996666i	$0.525999\pi$
$270$	0.583004	−	16.4213i	0.0354805	−	0.999370i
$271$	−0.113409			−0.00688909			−0.00344455	−	0.999994i	$-0.501096\pi$
$271$	−0.113409			−0.00688909			−0.00344455	+	0.999994i	$0.501096\pi$
$272$	19.2808	−	22.9091i	1.16907	−	1.38907i
$273$	3.33967	−	3.13490i	0.202126	−	0.189733i
$274$	7.18655	+	8.96104i	0.434155	+	0.541356i
$275$	−5.80887	−	2.79010i	−0.350288	−	0.168249i
$276$	1.51753	+	2.56128i	0.0913443	+	0.154171i
$277$	14.8735	+	8.58721i	0.893661	+	0.515955i	0.875138	−	0.483873i	$-0.160770\pi$
$277$	14.8735	+	8.58721i	0.893661	+	0.515955i	0.0185229	+	0.999828i	$0.494104\pi$
$278$	−1.60861	−	10.4771i	−0.0964781	−	0.628373i
$279$	−11.8115	−	23.8180i	−0.707139	−	1.42595i
$280$	−15.7926	−	7.07805i	−0.943786	−	0.422994i
$281$	−7.46188	+	12.9244i	−0.445138	+	0.771002i	−0.998062	−	0.0622297i	$-0.980179\pi$
$281$	−7.46188	+	12.9244i	−0.445138	+	0.771002i	0.552923	+	0.833232i	$0.313512\pi$
$282$	−13.8111	+	10.3762i	−0.822438	+	0.617895i
$283$	6.82242	+	11.8168i	0.405551	+	0.702435i	0.994385	−	0.105819i	$-0.0337464\pi$
$283$	6.82242	+	11.8168i	0.405551	+	0.702435i	−0.588835	+	0.808254i	$0.700413\pi$
$284$	19.8122	−	21.5891i	1.17564	−	1.28108i
$285$	0.308247	+	0.731120i	0.0182590	+	0.0433078i
$286$	−0.639059	+	1.64154i	−0.0377884	+	0.0970664i
$287$	−0.821031	−	0.821031i	−0.0484639	−	0.0484639i
$288$	7.17778	+	15.3779i	0.422955	+	0.906151i
$289$			39.0360i			2.29624i
$290$	1.15090	+	3.45953i	0.0675829	+	0.203150i
$291$	5.35844	+	22.8663i	0.314118	+	1.34045i
$292$	−0.642707	−	14.9745i	−0.0376116	−	0.876313i
$293$	−18.4708	+	10.6641i	−1.07908	+	0.623006i	−0.930647	−	0.365917i	$-0.880755\pi$
$293$	−18.4708	+	10.6641i	−1.07908	+	0.623006i	−0.148430	+	0.988923i	$0.547422\pi$
$294$	0.736669	−	0.940097i	0.0429634	−	0.0548276i
$295$	10.8240	−	15.2715i	0.630198	−	0.889144i
$296$	8.96768	+	3.05521i	0.521236	+	0.177581i
$297$	−6.60389	+	1.11290i	−0.383196	+	0.0645771i
$298$	20.3798	−	3.12904i	1.18057	−	0.181260i
$299$	−0.214970	−	0.802279i	−0.0124320	−	0.0463970i
$300$	17.2548	−	1.50672i	0.996209	−	0.0869904i
$301$	−6.85082	+	25.5676i	−0.394875	+	1.47369i
$302$	−6.99926	−	0.769162i	−0.402762	−	0.0442603i
$303$	7.40332	−	1.73488i	0.425309	−	0.0996660i
$304$	−0.626967	−	0.527670i	−0.0359590	−	0.0302639i
$305$	0.209110	−	2.24228i	0.0119736	−	0.128392i
$306$	−28.8084	−	13.3688i	−1.64687	−	0.764242i
$307$	−19.9416			−1.13813			−0.569064	−	0.822293i	$-0.692694\pi$
$307$	−19.9416			−1.13813			−0.569064	+	0.822293i	$0.692694\pi$
$308$	−1.53173	+	6.88509i	−0.0872784	+	0.392315i
$309$	3.39181	+	1.02479i	0.192953	+	0.0582980i
$310$	23.3955	−	15.4271i	1.32878	−	0.876199i
$311$	15.1637	+	26.2644i	0.859857	+	1.48932i	0.872065	+	0.489391i	$0.162781\pi$
$311$	15.1637	+	26.2644i	0.859857	+	1.48932i	−0.0122077	+	0.999925i	$0.503886\pi$
$312$	−0.771254	−	4.67140i	−0.0436637	−	0.264466i
$313$	−1.53727	−	5.73717i	−0.0868916	−	0.324284i	0.908774	−	0.417288i	$-0.137020\pi$
$313$	−1.53727	−	5.73717i	−0.0868916	−	0.324284i	−0.995666	+	0.0930047i	$0.970353\pi$
$314$	−22.0660	−	16.1920i	−1.24526	−	0.913769i
$315$	−2.85591	+	18.1324i	−0.160912	+	1.02165i
$316$	−10.7989	+	3.39610i	−0.607485	+	0.191046i
$317$	−9.99617	−	5.77129i	−0.561441	−	0.324148i	0.192283	−	0.981340i	$-0.438411\pi$
$317$	−9.99617	−	5.77129i	−0.561441	−	0.324148i	−0.753724	+	0.657192i	$0.771744\pi$
$318$	−12.4985	−	31.0638i	−0.700884	−	1.74197i
$319$	1.28688	−	0.742982i	0.0720516	−	0.0415990i
$320$	−15.1629	+	9.49141i	−0.847631	+	0.530586i
$321$	0.712366	+	0.0225292i	0.0397604	+	0.00125745i
$322$	−1.33830	−	3.04457i	−0.0745805	−	0.169667i
$323$	1.53357			0.0853302
$324$	13.7459	−	11.6211i	0.763661	−	0.645617i
$325$	−4.74894	−	0.893522i	−0.263424	−	0.0495637i
$326$	6.23689	+	14.1886i	0.345429	+	0.785835i
$327$	5.51161	−	5.17368i	0.304793	−	0.286105i
$328$	−1.17738	+	0.232839i	−0.0650102	+	0.0128564i
$329$	16.7122	−	9.64880i	0.921374	−	0.531956i
$330$	−2.01551	−	6.76542i	−0.110950	−	0.372424i
$331$	−2.71487	−	10.1320i	−0.149223	−	0.556906i	−0.999531	−	0.0306217i	$-0.990251\pi$
$331$	−2.71487	−	10.1320i	−0.149223	−	0.556906i	0.850308	−	0.526285i	$-0.176415\pi$
$332$	−2.28320	−	7.26010i	−0.125307	−	0.398450i
$333$	0.634951	−	10.0284i	0.0347951	−	0.549555i
$334$	9.40700	−	1.44432i	0.514728	−	0.0790294i
$335$	−4.85940	+	0.828200i	−0.265497	+	0.0452494i
$336$	−5.89101	−	18.0194i	−0.321381	−	0.983041i
$337$	−1.40218	−	0.375714i	−0.0763817	−	0.0204664i	0.220426	−	0.975404i	$-0.429255\pi$
$337$	−1.40218	−	0.375714i	−0.0763817	−	0.0204664i	−0.296808	+	0.954937i	$0.595922\pi$
$338$	1.86396	−	16.9617i	0.101386	−	0.922597i
$339$	22.9374	+	6.93020i	1.24579	+	0.376397i
$340$	10.2729	−	31.8620i	0.557125	−	1.72796i
$341$	−8.07633	−	8.07633i	−0.437358	−	0.437358i
$342$	−0.365871	+	0.788417i	−0.0197840	+	0.0426327i
$343$	12.6008	−	12.6008i	0.680379	−	0.680379i
$344$	18.0170	+	20.5905i	0.971414	+	1.11017i
$345$	2.65336	+	2.00959i	0.142852	+	0.108192i
$346$	−2.87089	+	26.1247i	−0.154340	+	1.40447i
$347$	−14.0958	−	24.4146i	−0.756702	−	1.31065i	−0.944524	−	0.328443i	$-0.893476\pi$
$347$	−14.0958	−	24.4146i	−0.756702	−	1.31065i	0.187822	−	0.982203i	$-0.439857\pi$
$348$	−1.95783	+	3.48114i	−0.104950	+	0.186609i
$349$	0.450098	+	1.67979i	0.0240932	+	0.0899171i	0.976926	−	0.213580i	$-0.0685124\pi$
$349$	0.450098	+	1.67979i	0.0240932	+	0.0899171i	−0.952832	+	0.303497i	$0.901846\pi$
$350$	−19.3379	−	0.650598i	−1.03366	−	0.0347759i
$351$	−4.56729	+	2.08777i	−0.243784	+	0.111437i
$352$	5.03192	+	5.27590i	0.268202	+	0.281206i
$353$	5.61526	+	20.9564i	0.298870	+	1.11540i	0.938095	+	0.346379i	$0.112589\pi$
$353$	5.61526	+	20.9564i	0.298870	+	1.11540i	−0.639225	+	0.769020i	$0.720745\pi$
$354$	20.3557	−	2.46959i	1.08190	−	0.131257i
$355$	11.3808	−	30.7204i	0.604030	−	1.63047i
$356$	−16.2141	−	14.8795i	−0.859343	−	0.788612i
$357$	30.1492	+	18.7016i	1.59566	+	0.989795i
$358$	−16.0873	−	6.26285i	−0.850239	−	0.331002i
$359$		−	21.8587i		−	1.15366i	−0.816865	−	0.576829i	$-0.804290\pi$
$359$		−	21.8587i		−	1.15366i	0.816865	−	0.576829i	$-0.195710\pi$
$360$	13.9296	+	12.8828i	0.734154	+	0.678983i
$361$			18.9580i			0.997791i
$362$	−12.7506	+	32.7523i	−0.670157	+	1.72142i
$363$	14.2570	−	7.64087i	0.748298	−	0.401042i
$364$	0.226801	+	5.28424i	0.0118876	+	0.276969i
$365$	−6.99494	−	15.2276i	−0.366132	−	0.797049i
$366$	1.97233	−	1.48181i	0.103095	−	0.0774552i
$367$	−4.09307	−	15.2756i	−0.213657	−	0.797378i	−0.986635	−	0.162945i	$-0.947901\pi$
$367$	−4.09307	−	15.2756i	−0.213657	−	0.797378i	0.772978	−	0.634432i	$-0.218766\pi$
$368$	−3.38453	−	0.601945i	−0.176431	−	0.0313785i
$369$	0.565561	+	1.14046i	0.0294419	+	0.0593698i
$370$	10.5734	−	0.628354i	0.549686	−	0.0326666i
$371$	9.68119	+	36.1307i	0.502622	+	1.87581i
$372$	29.7405	+	7.61049i	1.54197	+	0.394585i
$373$	−7.46801	−	12.9350i	−0.386679	−	0.669747i	0.605322	−	0.795981i	$-0.293044\pi$
$373$	−7.46801	−	12.9350i	−0.386679	−	0.669747i	−0.992001	+	0.126234i	$0.959711\pi$
$374$	−13.5625	−	1.49041i	−0.701302	−	0.0770674i
$375$	17.2227	−	8.85316i	0.889377	−	0.457175i
$376$	1.32667	−	19.9028i	0.0684177	−	1.02641i
$377$	0.787908	−	0.787908i	0.0405793	−	0.0405793i
$378$	−16.8074	+	11.0381i	−0.864481	+	0.567740i
$379$	−4.07217	−	4.07217i	−0.209173	−	0.209173i	0.594743	−	0.803916i	$-0.297254\pi$
$379$	−4.07217	−	4.07217i	−0.209173	−	0.209173i	−0.803916	+	0.594743i	$0.797254\pi$
$380$	−0.871987	−	0.281144i	−0.0447320	−	0.0144224i
$381$	6.85743	−	6.43698i	0.351317	−	0.329777i
$382$	11.9888	+	1.31747i	0.613401	+	0.0674078i
$383$	30.4660	+	8.16334i	1.55674	+	0.417127i	0.931629	−	0.363410i	$-0.118387\pi$
$383$	30.4660	+	8.16334i	1.55674	+	0.417127i	0.625110	+	0.780537i	$0.285054\pi$
$384$	−18.8639	−	5.30585i	−0.962646	−	0.270763i
$385$	1.32492	+	7.77386i	0.0675242	+	0.396193i
$386$	−3.85164	−	25.0862i	−0.196043	−	1.27685i
$387$	16.0690	−	24.1649i	0.816834	−	1.22837i
$388$	−24.0456	−	12.5400i	−1.22073	−	0.636621i
$389$	2.27448	+	8.48849i	0.115321	+	0.430383i	0.999311	−	0.0371227i	$-0.0118192\pi$
$389$	2.27448	+	8.48849i	0.115321	+	0.430383i	−0.883990	+	0.467506i	$0.845153\pi$
$390$	−2.77289	−	4.50911i	−0.140411	−	0.228328i
$391$	5.57140	−	3.21665i	0.281758	−	0.162673i
$392$	0.267551	+	1.35291i	0.0135134	+	0.0683323i
$393$	−30.5890	−	9.24201i	−1.54301	−	0.466198i
$394$	−0.208582	+	0.0916861i	−0.0105082	+	0.00461908i
$395$	−9.74184	+	8.07983i	−0.490165	+	0.406540i
$396$	4.00190	−	6.61699i	0.201103	−	0.332516i
$397$	19.8636			0.996925			0.498462	−	0.866911i	$-0.333898\pi$
$397$	19.8636			0.996925			0.498462	+	0.866911i	$0.333898\pi$
$398$	17.8030	−	7.82566i	0.892385	−	0.392265i
$399$	0.511818	−	0.825111i	0.0256230	−	0.0413072i
$400$	−11.6823	+	16.2334i	−0.584114	+	0.811671i
$401$	−26.0946	+	15.0657i	−1.30310	+	0.752347i	−0.980935	−	0.194336i	$-0.937745\pi$
$401$	−26.0946	+	15.0657i	−1.30310	+	0.752347i	−0.322168	+	0.946683i	$0.604411\pi$
$402$	−4.25043	−	3.33068i	−0.211992	−	0.166119i
$403$	−7.41724	−	4.28235i	−0.369479	−	0.213319i
$404$	−4.06000	+	7.78513i	−0.201993	+	0.387325i
$405$	9.31542	−	17.8388i	0.462887	−	0.886417i
$406$	2.63955	−	3.59710i	0.130998	−	0.178521i
$407$	−1.11732	−	4.16988i	−0.0553833	−	0.206693i
$408$	33.4036	−	15.1350i	1.65372	−	0.749293i
$409$	16.8119	+	29.1190i	0.831294	+	1.43984i	0.897012	+	0.442006i	$0.145733\pi$
$409$	16.8119	+	29.1190i	0.831294	+	1.43984i	−0.0657180	+	0.997838i	$0.520934\pi$
$410$	−1.12023	+	0.738681i	−0.0553241	+	0.0364808i
$411$	3.20980	+	13.6973i	0.158328	+	0.675640i
$412$	−3.45226	+	2.19575i	−0.170081	+	0.108177i
$413$	−22.9063			−1.12715
$414$	0.324502	+	3.63170i	0.0159484	+	0.178488i
$415$	−5.43207	−	6.54944i	−0.266650	−	0.321499i
$416$	4.66863	+	2.84481i	0.228898	+	0.139478i
$417$	3.75472	−	12.4273i	0.183869	−	0.608566i
$418$	−0.0407890	+	0.371174i	−0.00199506	+	0.0181547i
$419$	−3.05020	+	11.3835i	−0.149012	+	0.556120i	0.850532	+	0.525923i	$0.176280\pi$
$419$	−3.05020	+	11.3835i	−0.149012	+	0.556120i	−0.999544	+	0.0301966i	$0.990387\pi$
$420$	−13.7143	−	16.1609i	−0.669190	−	0.788569i
$421$	−5.95166	−	22.2119i	−0.290066	−	1.08254i	−0.945057	−	0.326905i	$-0.893994\pi$
$421$	−5.95166	−	22.2119i	−0.290066	−	1.08254i	0.654991	−	0.755637i	$-0.272672\pi$
$422$	3.85455	+	25.1051i	0.187636	+	1.22210i
$423$	−20.7412	+	4.17356i	−1.00847	+	0.202926i
$424$	36.5983	+	12.4687i	1.77737	+	0.605534i
$425$	−2.83519	−	37.3211i	−0.137527	−	1.81034i
$426$	33.2937	−	13.3957i	1.61309	−	0.649025i
$427$	−2.38664	+	1.37793i	−0.115497	+	0.0666825i
$428$	−0.556446	+	0.606354i	−0.0268968	+	0.0293092i
$429$	−1.57301	+	1.47656i	−0.0759455	+	0.0712891i
$430$	27.3521	+	13.6964i	1.31904	+	0.660497i
$431$		−	26.7661i		−	1.28928i	−0.764487	−	0.644639i	$-0.777008\pi$
$431$		−	26.7661i		−	1.28928i	0.764487	−	0.644639i	$-0.222992\pi$
$432$	−0.188264	+	20.7838i	−0.00905784	+	0.999959i
$433$	−6.72091	−	6.72091i	−0.322986	−	0.322986i	0.526925	−	0.849912i	$-0.323345\pi$
$433$	−6.72091	−	6.72091i	−0.322986	−	0.322986i	−0.849912	+	0.526925i	$0.823345\pi$
$434$	−31.9576	−	12.4412i	−1.53401	−	0.597198i
$435$	−0.554962	+	4.43073i	−0.0266084	+	0.212437i
$436$	0.374300	+	8.72083i	0.0179257	+	0.417652i
$437$	−0.0880320	−	0.152476i	−0.00421114	−	0.00729392i
$438$	7.19691	−	16.8871i	0.343882	−	0.806899i
$439$	1.08534	−	1.87986i	0.0518003	−	0.0897207i	−0.838963	−	0.544189i	$-0.816837\pi$
$439$	1.08534	−	1.87986i	0.0518003	−	0.0897207i	0.890763	+	0.454468i	$0.150171\pi$
$440$	7.43841	+	3.33381i	0.354612	+	0.158933i
$441$	1.31048	−	0.649877i	0.0624038	−	0.0309465i
$442$	−10.1128	+	1.55268i	−0.481016	+	0.0738534i
$443$	6.84740	+	3.95335i	0.325330	+	0.187829i	0.653766	−	0.756697i	$-0.273188\pi$
$443$	6.84740	+	3.95335i	0.325330	+	0.187829i	−0.328436	+	0.944526i	$0.606522\pi$
$444$	8.29660	+	8.11153i	0.393739	+	0.384956i
$445$	−23.0719	−	8.54731i	−1.09371	−	0.405181i
$446$	−29.1798	+	23.4015i	−1.38170	+	1.10809i
$447$	24.1733	+	7.30360i	1.14336	+	0.345448i
$448$	20.2058	+	8.42207i	0.954635	+	0.397905i
$449$	23.5821			1.11291			0.556454	−	0.830878i	$-0.312162\pi$
$449$	23.5821			1.11291			0.556454	+	0.830878i	$0.312162\pi$
$450$	19.8634	+	7.44627i	0.936368	+	0.351021i
$451$	0.386712	+	0.386712i	0.0182095	+	0.0182095i
$452$	−23.3462	+	14.8489i	−1.09811	+	0.698435i
$453$	−7.32849	−	4.54588i	−0.344322	−	0.213584i
$454$	−31.2379	−	3.43279i	−1.46607	−	0.161109i
$455$	2.46840	+	5.37357i	0.115720	+	0.251917i
$456$	−0.414208	−	0.914175i	−0.0193971	−	0.0428102i
$457$	24.8323	−	6.65380i	1.16161	−	0.311252i	0.373999	−	0.927429i	$-0.377986\pi$
$457$	24.8323	−	6.65380i	1.16161	−	0.311252i	0.787607	+	0.616177i	$0.211320\pi$
$458$	3.86280	+	25.1589i	0.180497	+	1.17560i
$459$	−24.7759	−	29.9854i	−1.15644	−	1.39960i
$460$	−3.75759	+	0.807600i	−0.175199	+	0.0376546i
$461$	−8.32027	−	31.0517i	−0.387513	−	1.44622i	−0.834167	−	0.551513i	$-0.814051\pi$
$461$	−8.32027	−	31.0517i	−0.387513	−	1.44622i	0.446653	−	0.894707i	$-0.352616\pi$
$462$	−5.32828	+	6.79966i	−0.247894	+	0.316349i
$463$	−2.67640	+	9.98845i	−0.124383	+	0.464203i	−0.999817	−	0.0191348i	$-0.993909\pi$
$463$	−2.67640	+	9.98845i	−0.124383	+	0.464203i	0.875434	+	0.483337i	$0.160576\pi$
$464$	−1.57092	−	4.33599i	−0.0729279	−	0.201293i
$465$	33.9998	−	4.69410i	1.57670	−	0.217684i
$466$	−25.9742	−	10.1119i	−1.20323	−	0.468424i
$467$			37.8480i			1.75140i	0.482857	+	0.875699i	$0.339599\pi$
$467$			37.8480i			1.75140i	−0.482857	+	0.875699i	$0.660401\pi$
$468$	1.61441	−	5.56946i	0.0746261	−	0.257448i
$469$	4.26551	+	4.26551i	0.196963	+	0.196963i
$470$	−7.03977	−	21.1612i	−0.324721	−	0.976092i
$471$	−15.8343	−	29.5451i	−0.729608	−	1.36137i
$472$	−13.1761	+	19.6722i	−0.606481	+	0.905488i
$473$	3.22678	−	12.0425i	0.148368	−	0.553716i
$474$	−13.7268	−	1.94936i	−0.630492	−	0.0895370i
$475$	−1.02139	+	0.0775923i	−0.0468645	+	0.00356018i
$476$	−39.0801	+	12.2901i	−1.79123	+	0.563318i
$477$	2.59132	−	40.9274i	0.118648	−	1.87394i
$478$	18.5021	+	13.5769i	0.846268	+	0.620991i
$479$	−14.9022	+	25.8113i	−0.680897	+	1.17935i	0.293810	+	0.955864i	$0.405077\pi$
$479$	−14.9022	+	25.8113i	−0.680897	+	1.17935i	−0.974707	+	0.223485i	$0.928257\pi$
$480$	−21.7679	+	2.48199i	−0.993562	+	0.113287i
$481$	−1.61857	−	2.80345i	−0.0738006	−	0.127826i
$482$	−1.18955	+	10.8247i	−0.0541824	+	0.493052i
$483$	0.128753	−	4.07113i	0.00585846	−	0.185243i
$484$	−4.05609	+	18.2321i	−0.184368	+	0.828730i
$485$	−30.1890	−	2.81536i	−1.37081	−	0.127839i
$486$	21.3266	−	5.58367i	0.967393	−	0.253280i
$487$	1.86056	+	1.86056i	0.0843100	+	0.0843100i	0.748004	−	0.663694i	$-0.231012\pi$
$487$	1.86056	+	1.86056i	0.0843100	+	0.0843100i	−0.663694	+	0.748004i	$0.731012\pi$
$488$	−0.189459	+	2.84228i	−0.00857639	+	0.128664i
$489$	−0.600028	+	18.9727i	−0.0271342	+	0.857976i
$490$	0.848805	+	1.28723i	0.0383451	+	0.0581513i
$491$	−7.57502	+	28.2703i	−0.341856	+	1.27582i	0.554387	+	0.832259i	$0.312953\pi$
$491$	−7.57502	+	28.2703i	−0.341856	+	1.27582i	−0.896243	+	0.443564i	$0.853714\pi$
$492$	−1.42404	−	0.364406i	−0.0642005	−	0.0164287i
$493$	7.47436	+	4.31532i	0.336628	+	0.194352i
$494$	0.0424931	+	0.276762i	0.00191185	+	0.0124521i
$495$	1.34515	−	8.54051i	0.0604601	−	0.383867i
$496$	−29.0673	+	20.2891i	−1.30516	+	0.911009i
$497$	−38.7243	+	10.3761i	−1.73702	+	0.465433i
$498$	1.31055	−	9.22852i	0.0587273	−	0.413540i
$499$	24.2399	+	6.49507i	1.08513	+	0.290759i	0.756695	−	0.653768i	$-0.226813\pi$
$499$	24.2399	+	6.49507i	1.08513	+	0.290759i	0.328433	+	0.944527i	$0.393479\pi$
$500$	−5.22984	+	21.7405i	−0.233886	+	0.972264i
$501$	11.1580	+	3.37123i	0.498503	+	0.150615i
$502$	−7.19694	−	2.80180i	−0.321215	−	0.125050i
$503$	23.7307	+	23.7307i	1.05810	+	1.05810i	0.998205	+	0.0598958i	$0.0190768\pi$
$503$	23.7307	+	23.7307i	1.05810	+	1.05810i	0.0598958	+	0.998205i	$0.480923\pi$
$504$	3.00508	−	23.0234i	0.133857	−	1.02554i
$505$	−0.911515	+	9.77415i	−0.0405619	+	0.434944i
$506$	0.630349	+	1.43401i	0.0280224	+	0.0637497i
$507$	11.0163	−	17.7596i	0.489252	−	0.788731i
$508$	0.465697	+	10.8503i	0.0206620	+	0.481403i
$509$	2.38820	−	8.91288i	0.105855	−	0.395056i	−0.892586	−	0.450878i	$-0.851111\pi$
$509$	2.38820	−	8.91288i	0.105855	−	0.395056i	0.998441	+	0.0558214i	$0.0177777\pi$
$510$	28.1767	−	29.7851i	1.24769	−	1.31891i
$511$	−10.2533	+	17.7592i	−0.453577	+	0.785619i
$512$	18.8557	−	12.5085i	0.833313	−	0.552801i
$513$	−0.820630	+	0.678058i	−0.0362317	+	0.0299370i
$514$	2.34675	+	15.2846i	0.103511	+	0.674177i
$515$	−2.64511	+	3.73198i	−0.116558	+	0.164451i
$516$	9.03736	+	32.2677i	0.397847	+	1.42050i
$517$	−7.87158	+	4.54466i	−0.346192	+	0.199874i
$518$	−8.10939	−	10.1117i	−0.356306	−	0.444285i
$519$	−16.9675	+	27.3535i	−0.744789	+	1.20069i
$520$	6.03476	+	0.971085i	0.264642	+	0.0425849i
$521$	35.8975			1.57270			0.786350	−	0.617781i	$-0.211968\pi$
$521$	35.8975			1.57270			0.786350	+	0.617781i	$0.211968\pi$
$522$	−4.00172	+	2.81308i	−0.175151	+	0.123125i
$523$	8.42455			0.368380			0.184190	−	0.982891i	$-0.441034\pi$
$523$	8.42455			0.368380			0.184190	+	0.982891i	$0.441034\pi$
$524$	31.1342	−	19.8023i	1.36010	−	0.865067i
$525$	−21.0262	−	10.9302i	−0.917657	−	0.477034i
$526$	9.48504	−	7.60679i	0.413567	−	0.331672i
$527$	17.1696	−	64.0779i	0.747920	−	2.79128i
$528$	2.77471	+	8.48729i	0.120754	+	0.369362i
$529$	19.2790	+	11.1307i	0.838215	+	0.483944i
$530$	43.1515	−	2.56439i	1.87438	−	0.111390i
$531$	23.7985	+	8.01964i	1.03277	+	0.348023i
$532$	0.336352	+	1.06953i	0.0145827	+	0.0463699i
$533$	0.355153	+	0.205048i	0.0153834	+	0.00888160i
$534$	−10.0606	−	25.0045i	−0.435364	−	1.08205i
$535$	−0.319642	+	0.862815i	−0.0138193	+	0.0373028i
$536$	6.11688	−	1.20967i	0.264209	−	0.0522499i
$537$	−14.4705	−	15.4156i	−0.624446	−	0.665233i
$538$	−27.9718	−	10.8896i	−1.20595	−	0.469482i
$539$	0.444364	−	0.444364i	0.0191401	−	0.0191401i
$540$	8.59045	+	21.5918i	0.369674	+	0.929162i
$541$	−19.6873	−	19.6873i	−0.846424	−	0.846424i	0.143261	−	0.989685i	$-0.454241\pi$
$541$	−19.6873	−	19.6873i	−0.846424	−	0.846424i	−0.989685	+	0.143261i	$0.954241\pi$
$542$	0.146825	−	0.0645400i	0.00630669	−	0.00277223i
$543$	−31.3849	+	29.4606i	−1.34685	+	1.26427i
$544$	−11.9247	+	40.6320i	−0.511265	+	1.74208i
$545$	4.07372	+	8.86826i	0.174499	+	0.379874i
$546$	−2.53967	+	5.95920i	−0.108688	+	0.255030i
$547$	15.6467	−	27.1009i	0.669006	−	1.15875i	−0.309177	−	0.951005i	$-0.600053\pi$
$547$	15.6467	−	27.1009i	0.669006	−	1.15875i	0.978183	−	0.207747i	$-0.0666132\pi$
$548$	−14.4038	−	7.51167i	−0.615298	−	0.320882i
$549$	2.96201	−	0.596018i	0.126416	−	0.0254374i
$550$	9.10831	+	0.306436i	0.388380	+	0.0130665i
$551$	0.118100	−	0.204555i	0.00503123	−	0.00871435i
$552$	−3.42227	−	2.45236i	−0.145662	−	0.104380i
$553$	14.9604	+	4.00863i	0.636181	+	0.170464i
$554$	−24.1430	−	2.65312i	−1.02574	−	0.112720i
$555$	12.0161	+	4.88884i	0.510056	+	0.207520i
$556$	8.04501	+	12.6488i	0.341184	+	0.536427i
$557$			2.51860i			0.106717i	0.998575	+	0.0533583i	$0.0169926\pi$
$557$			2.51860i			0.106717i	−0.998575	+	0.0533583i	$0.983007\pi$
$558$	28.8465	+	24.1143i	1.22117	+	1.02084i
$559$		−	9.34881i		−	0.395413i
$560$	24.4740	+	0.176238i	1.03421	+	0.00744740i
$561$	−14.2005	−	8.80860i	−0.599545	−	0.371899i
$562$	2.30543	−	20.9791i	0.0972488	−	0.884949i
$563$	−15.0626	−	26.0891i	−0.634811	−	1.09953i	−0.986555	−	0.163429i	$-0.947744\pi$
$563$	−15.0626	−	26.0891i	−0.634811	−	1.09953i	0.351744	−	0.936096i	$-0.385589\pi$
$564$	11.9756	−	21.2934i	0.504264	−	0.896614i
$565$	−17.8878	+	25.2378i	−0.752546	+	1.06176i
$566$	−15.5575	−	11.4161i	−0.653931	−	0.479854i
$567$	−24.4019	+	3.32283i	−1.02478	+	0.139546i
$568$	−13.3638	+	39.2254i	−0.560731	+	1.64586i
$569$	1.12901	+	0.651836i	0.0473307	+	0.0273264i	0.523479	−	0.852039i	$-0.324634\pi$
$569$	1.12901	+	0.651836i	0.0473307	+	0.0273264i	−0.476148	+	0.879365i	$0.657967\pi$
$570$	−0.815148	−	0.771129i	−0.0341428	−	0.0322990i
$571$	−21.6269	−	5.79491i	−0.905058	−	0.242510i	−0.223871	−	0.974619i	$-0.571869\pi$
$571$	−21.6269	−	5.79491i	−0.905058	−	0.242510i	−0.681187	+	0.732109i	$0.738536\pi$
$572$	−0.106825	−	2.48892i	−0.00446657	−	0.104067i
$573$	12.5528	+	7.78650i	0.524399	+	0.325286i
$574$	1.53020	+	0.595712i	0.0638691	+	0.0248645i
$575$	−3.54791	+	2.42424i	−0.147958	+	0.101098i
$576$	−18.0442	−	15.8243i	−0.751841	−	0.659345i
$577$	−21.1879	+	21.1879i	−0.882063	+	0.882063i	−0.993744	−	0.111681i	$-0.964376\pi$
$577$	−21.1879	+	21.1879i	−0.882063	+	0.882063i	0.111681	+	0.993744i	$0.464376\pi$
$578$	−22.2151	−	50.5383i	−0.924025	−	2.10211i
$579$	8.99026	−	29.7557i	0.373622	−	1.23661i
$580$	−3.45880	−	3.82393i	−0.143619	−	0.158780i
$581$	−2.69500	+	10.0579i	−0.111808	+	0.417271i
$582$	−19.9504	−	26.5546i	−0.826970	−	1.10072i
$583$	−4.55991	−	17.0178i	−0.188852	−	0.704806i
$584$	9.35392	+	19.0210i	0.387068	+	0.787095i
$585$	−0.683222	−	6.44707i	−0.0282478	−	0.266554i
$586$	17.8445	−	24.3180i	0.737150	−	1.00457i
$587$	2.63417	−	4.56252i	0.108724	−	0.188315i	−0.806530	−	0.591194i	$-0.798657\pi$
$587$	2.63417	−	4.56252i	0.108724	−	0.188315i	0.915254	+	0.402878i	$0.131990\pi$
$588$	−0.418733	+	1.63633i	−0.0172682	+	0.0674813i
$589$	−1.75366	−	0.469891i	−0.0722582	−	0.0193615i
$590$	−5.32247	+	25.9313i	−0.219123	+	1.06757i
$591$	−0.278911	−	0.00882077i	−0.0114728	−	0.000362838i
$592$	−13.3488	+	1.14798i	−0.548631	+	0.0471817i
$593$	−1.45703	+	1.45703i	−0.0598331	+	0.0598331i	−0.736390	−	0.676557i	$-0.763471\pi$
$593$	−1.45703	+	1.45703i	−0.0598331	+	0.0598331i	0.676557	+	0.736390i	$0.263471\pi$
$594$	7.91642	−	5.19904i	0.324815	−	0.213319i
$595$	−35.2547	+	29.2401i	−1.44530	+	1.19873i
$596$	−24.6041	+	15.6490i	−1.00782	+	0.641008i
$597$	23.8058	+	0.752878i	0.974307	+	0.0308132i
$598$	0.734882	+	0.916338i	0.0300516	+	0.0374718i
$599$	−2.52047	+	1.45519i	−0.102984	+	0.0594576i	−0.550607	−	0.834764i	$-0.685604\pi$
$599$	−2.52047	+	1.45519i	−0.102984	+	0.0594576i	0.447624	+	0.894222i	$0.352270\pi$
$600$	−21.4816	+	11.7703i	−0.876984	+	0.480519i
$601$	−4.87059	−	2.81204i	−0.198676	−	0.114705i	0.397362	−	0.917662i	$-0.369926\pi$
$601$	−4.87059	−	2.81204i	−0.198676	−	0.114705i	−0.596038	+	0.802957i	$0.703259\pi$
$602$	−5.68084	−	37.0000i	−0.231534	−	1.50801i
$603$	−2.93827	−	5.92503i	−0.119656	−	0.241286i
$604$	9.49935	−	2.98742i	0.386523	−	0.121556i
$605$	3.50845	+	20.5856i	0.142639	+	0.836922i
$606$	−8.59745	+	6.45923i	−0.349247	+	0.262388i
$607$	35.7054	+	9.56723i	1.44924	+	0.388322i	0.895758	−	0.444541i	$-0.146633\pi$
$607$	35.7054	+	9.56723i	1.44924	+	0.388322i	0.553479	+	0.832863i	$0.313300\pi$
$608$	1.11200	+	0.326349i	0.0450975	+	0.0132352i
$609$	4.81629	−	2.58124i	0.195166	−	0.104597i
$610$	1.00534	+	3.02198i	0.0407048	+	0.122356i
$611$	−4.81946	+	4.81946i	−0.194975	+	0.194975i
$612$	44.9050	+	0.913343i	1.81518	+	0.0369197i
$613$	−3.99857			−0.161501			−0.0807503	−	0.996734i	$-0.525732\pi$
$613$	−3.99857			−0.161501			−0.0807503	+	0.996734i	$0.525732\pi$
$614$	25.8175	−	11.3486i	1.04191	−	0.457992i
$615$	−1.62798	+	0.224763i	−0.0656465	+	0.00906333i
$616$	−1.93518	−	9.78552i	−0.0779708	−	0.394270i
$617$	−11.9113	−	3.19163i	−0.479532	−	0.128490i	0.0109527	−	0.999940i	$-0.496514\pi$
$617$	−11.9113	−	3.19163i	−0.479532	−	0.128490i	−0.490485	+	0.871450i	$0.663180\pi$
$618$	−4.97443	+	0.603504i	−0.200101	+	0.0242765i
$619$	−25.1360	+	6.73516i	−1.01030	+	0.270709i	−0.725754	−	0.687954i	$-0.758509\pi$
$619$	−25.1360	+	6.73516i	−1.01030	+	0.270709i	−0.284545	+	0.958663i	$0.591842\pi$
$620$	−21.5098	+	33.2870i	−0.863853	+	1.33684i
$621$	−1.55909	+	4.18462i	−0.0625643	+	0.167923i
$622$	−34.5787	−	25.3738i	−1.38648	−	1.01740i
$623$	7.79278	+	29.0830i	0.312211	+	1.16519i
$624$	3.65696	+	5.60894i	0.146396	+	0.224537i
$625$	3.77658	+	24.7131i	0.151063	+	0.988524i
$626$	5.25521	+	6.55281i	0.210040	+	0.261903i
$627$	−0.241070	+	0.388633i	−0.00962742	+	0.0155205i
$628$	37.7827	+	8.40553i	1.50769	+	0.335417i
$629$	17.7296	−	17.7296i	0.706927	−	0.706927i
$630$	−6.62159	−	25.1005i	−0.263811	−	1.00003i
$631$			3.95584i			0.157479i	0.996895	+	0.0787397i	$0.0250896\pi$
$631$			3.95584i			0.157479i	−0.996895	+	0.0787397i	$0.974910\pi$
$632$	12.0482	−	10.5423i	0.479250	−	0.419352i
$633$	−8.99703	+	29.7782i	−0.357600	+	1.18358i
$634$	16.2260	+	1.78310i	0.644416	+	0.0708161i
$635$	5.06844	+	11.0337i	0.201135	+	0.437859i
$636$	33.8595	+	33.1042i	1.34262	+	1.31267i
$637$	0.235617	−	0.408100i	0.00933547	−	0.0161695i
$638$	−1.24325	+	1.69426i	−0.0492206	+	0.0670764i
$639$	43.8653	+	2.77733i	1.73528	+	0.109869i
$640$	14.2292	−	20.9172i	0.562460	−	0.826824i
$641$	−16.5454	−	9.55252i	−0.653506	−	0.377302i	0.136292	−	0.990669i	$-0.456481\pi$
$641$	−16.5454	−	9.55252i	−0.653506	−	0.377302i	−0.789798	+	0.613367i	$0.789815\pi$
$642$	−0.935090	+	0.376234i	−0.0369051	+	0.0148488i
$643$	31.9515	−	18.4472i	1.26004	−	0.727487i	0.286961	−	0.957942i	$-0.407355\pi$
$643$	31.9515	−	18.4472i	1.26004	−	0.727487i	0.973083	+	0.230455i	$0.0740216\pi$
$644$	3.46528	+	3.18006i	0.136551	+	0.125312i
$645$	22.9937	+	29.5785i	0.905374	+	1.16465i
$646$	−1.98545	+	0.872743i	−0.0781164	+	0.0343376i
$647$	−20.8910	+	20.8910i	−0.821311	+	0.821311i	−0.986296	−	0.164985i	$-0.947242\pi$
$647$	−20.8910	+	20.8910i	−0.821311	+	0.821311i	0.164985	+	0.986296i	$0.447242\pi$
$648$	−11.1828	+	22.8680i	−0.439300	+	0.898340i
$649$	10.7890			0.423507
$650$	6.65674	−	1.54578i	0.261099	−	0.0606304i
$651$	−28.7457	−	30.6233i	−1.12663	−	1.20022i
$652$	−16.1492	−	14.8200i	−0.632453	−	0.580398i
$653$	−0.855481	−	1.48174i	−0.0334776	−	0.0579849i	0.848801	−	0.528712i	$-0.177325\pi$
$653$	−0.855481	−	1.48174i	−0.0334776	−	0.0579849i	−0.882279	+	0.470727i	$0.843992\pi$
$654$	−4.19134	+	9.83474i	−0.163894	+	0.384569i
$655$	23.8549	−	33.6568i	0.932088	−	1.31508i
$656$	1.39180	−	0.971486i	0.0543407	−	0.0379301i
$657$	16.8702	−	14.8611i	0.658169	−	0.579788i
$658$	−16.1455	+	22.0027i	−0.629418	+	0.857753i
$659$	−9.51968	+	2.55079i	−0.370834	+	0.0993647i	−0.439423	−	0.898280i	$-0.644817\pi$
$659$	−9.51968	+	2.55079i	−0.370834	+	0.0993647i	0.0685889	+	0.997645i	$0.478150\pi$
$660$	6.45954	+	7.61188i	0.251437	+	0.296292i
$661$	−11.5745	−	3.10137i	−0.450194	−	0.120629i	0.0265960	−	0.999646i	$-0.491533\pi$
$661$	−11.5745	−	3.10137i	−0.450194	−	0.120629i	−0.476790	+	0.879017i	$0.658200\pi$
$662$	9.28087	+	11.5725i	0.360711	+	0.449777i
$663$	−11.9952	−	3.62416i	−0.465854	−	0.140751i
$664$	7.08762	+	8.09998i	0.275053	+	0.314340i
$665$	0.800230	+	0.964836i	0.0310316	+	0.0374148i
$666$	4.88506	+	13.3447i	0.189292	+	0.517098i
$667$		−	0.990854i		−	0.0383660i
$668$	−11.3569	+	7.22333i	−0.439411	+	0.279479i
$669$	−44.6026	+	10.4521i	−1.72444	+	0.404100i
$670$	5.81993	−	3.83768i	0.224844	−	0.148262i
$671$	1.12412	−	0.649013i	0.0433963	−	0.0250549i
$672$	17.8815	+	19.9765i	0.689795	+	0.770609i
$673$	−23.1771	+	6.21030i	−0.893413	+	0.239389i	−0.676185	−	0.736732i	$-0.736368\pi$
$673$	−23.1771	+	6.21030i	−0.893413	+	0.239389i	−0.217228	+	0.976121i	$0.569701\pi$
$674$	2.02916	−	0.311550i	0.0781603	−	0.0120004i
$675$	18.0184	+	18.7173i	0.693528	+	0.720430i
$676$	7.23960	+	23.0204i	0.278446	+	0.885400i
$677$	−20.9919	+	36.3590i	−0.806784	+	1.39739i	0.108296	+	0.994119i	$0.465461\pi$
$677$	−20.9919	+	36.3590i	−0.806784	+	1.39739i	−0.915080	+	0.403273i	$0.867873\pi$
$678$	−33.6400	+	4.08125i	−1.29194	+	0.156739i
$679$	18.5518	+	32.1326i	0.711952	+	1.23314i
$680$	4.83257	+	47.0966i	0.185320	+	1.80607i
$681$	−32.7073	−	20.2884i	−1.25335	−	0.777454i
$682$	15.0522	+	5.85990i	0.576380	+	0.224387i
$683$		−	11.7783i		−	0.450686i	−0.974280	−	0.225343i	$-0.927650\pi$
$683$		−	11.7783i		−	0.450686i	0.974280	−	0.225343i	$-0.0723503\pi$
$684$	0.0249960	−	1.22894i	0.000955746	−	0.0469898i
$685$	−18.0838	−	1.68645i	−0.690945	−	0.0644360i
$686$	−9.14269	+	23.4847i	−0.349070	+	0.896650i
$687$	−9.01631	+	29.8419i	−0.343994	+	1.13854i
$688$	−35.0438	−	16.4043i	−1.33603	−	0.625408i
$689$	−6.60560	−	11.4412i	−0.251653	−	0.435877i
$690$	−4.57883	−	1.09172i	−0.174313	−	0.0415609i
$691$	−45.2457	+	12.1236i	−1.72123	+	0.461202i	−0.978132	−	0.207983i	$-0.933310\pi$
$691$	−45.2457	+	12.1236i	−1.72123	+	0.461202i	−0.743096	+	0.669185i	$0.766643\pi$
$692$	−11.1505	−	35.4563i	−0.423879	−	1.34785i
$693$	−9.47862	+	4.70052i	−0.360063	+	0.178558i
$694$	32.1434	+	23.5868i	1.22015	+	0.895341i
$695$	13.6736	+	9.69144i	0.518670	+	0.367617i
$696$	0.553623	−	5.62107i	0.0209850	−	0.213066i
$697$	−0.822117	+	3.06818i	−0.0311399	+	0.116216i
$698$	−1.53868	−	1.91860i	−0.0582398	−	0.0726202i
$699$	−23.3637	−	24.8898i	−0.883698	−	0.941419i
$700$	25.4062	−	10.1628i	0.960266	−	0.384116i
$701$	−11.4145	+	11.4145i	−0.431121	+	0.431121i	−0.889010	−	0.457888i	$-0.848606\pi$
$701$	−11.4145	+	11.4145i	−0.431121	+	0.431121i	0.457888	+	0.889010i	$0.348606\pi$
$702$	4.72494	−	5.30214i	0.178331	−	0.200117i
$703$	−0.485218	−	0.485218i	−0.0183003	−	0.0183003i
$704$	−9.51708	−	3.96686i	−0.358688	−	0.149506i
$705$	3.39458	−	27.1018i	0.127847	−	1.02071i
$706$	−19.1960	−	23.9358i	−0.722449	−	0.900835i
$707$	10.4034	−	6.00641i	0.391261	−	0.225894i
$708$	−24.9483	+	14.7815i	−0.937614	+	0.555525i
$709$	−19.5527	+	5.23913i	−0.734318	+	0.196760i	−0.606551	−	0.795044i	$-0.707447\pi$
$709$	−19.5527	+	5.23913i	−0.734318	+	0.196760i	−0.127767	+	0.991804i	$0.540781\pi$
$710$	2.74847	+	46.2490i	0.103148	+	1.73570i
$711$	−14.1397	−	9.40249i	−0.530279	−	0.352621i
$712$	29.4594	+	10.0366i	1.10404	+	0.376137i
$713$	−7.35656	+	1.97118i	−0.275505	+	0.0738214i
$714$	−49.6758	−	7.05452i	−1.85907	−	0.264009i
$715$	−1.16264	−	2.53099i	−0.0434801	−	0.0946537i
$716$	24.3916	−	1.04690i	0.911558	−	0.0391243i
$717$	13.2769	+	24.7732i	0.495836	+	0.925174i
$718$	12.4396	+	28.2995i	0.464241	+	1.05613i
$719$	12.2983			0.458649			0.229324	−	0.973350i	$-0.426348\pi$
$719$	12.2983			0.458649			0.229324	+	0.973350i	$0.426348\pi$
$720$	−25.3655	−	8.75160i	−0.945317	−	0.326153i
$721$	5.59772			0.208470
$722$	−10.7888	−	24.5441i	−0.401519	−	0.913438i
$723$	−7.03044	+	11.3339i	−0.261465	+	0.421512i
$724$	−2.13139	−	49.6592i	−0.0792124	−	1.84557i
$725$	−5.19640	−	2.49592i	−0.192990	−	0.0926960i
$726$	−14.1096	+	18.0058i	−0.523655	+	0.668259i
$727$	20.8625	−	5.59010i	0.773749	−	0.207325i	0.149722	−	0.988728i	$-0.452162\pi$
$727$	20.8625	−	5.59010i	0.773749	−	0.207325i	0.624027	+	0.781403i	$0.285496\pi$
$728$	−3.30084	−	6.71220i	−0.122337	−	0.248771i
$729$	26.5157	+	5.09102i	0.982062	+	0.188556i
$730$	17.7219	+	15.7337i	0.655919	+	0.582332i
$731$	69.9444	−	18.7415i	2.58699	−	0.693181i
$732$	−1.71021	+	3.04087i	−0.0632111	+	0.112394i
$733$	−31.8252	+	18.3743i	−1.17549	+	0.678671i	−0.954967	−	0.296711i	$-0.904110\pi$
$733$	−31.8252	+	18.3743i	−1.17549	+	0.678671i	−0.220525	+	0.975381i	$0.570777\pi$
$734$	13.9923	+	17.4473i	0.516466	+	0.643990i
$735$	0.258272	+	1.87068i	0.00952649	+	0.0690012i
$736$	4.72436	−	1.14679i	0.174142	−	0.0422714i
$737$	−2.00909	−	2.00909i	−0.0740057	−	0.0740057i
$738$	−1.38123	−	1.15464i	−0.0508439	−	0.0425031i
$739$	−9.49667	+	9.49667i	−0.349341	+	0.349341i	−0.859864	−	0.510523i	$-0.829452\pi$
$739$	−9.49667	+	9.49667i	−0.349341	+	0.349341i	0.510523	+	0.859864i	$0.329452\pi$
$740$	−13.3314	+	6.83075i	−0.490070	+	0.251103i
$741$	−0.0991847	+	0.328279i	−0.00364364	+	0.0120596i
$742$	−33.0955	−	41.2673i	−1.21497	−	1.51497i
$743$	7.30761	−	27.2724i	0.268090	−	1.00053i	−0.692241	−	0.721666i	$-0.743377\pi$
$743$	7.30761	−	27.2724i	0.268090	−	1.00053i	0.960332	−	0.278861i	$-0.0899567\pi$
$744$	−42.8348	+	7.07208i	−1.57040	+	0.259275i
$745$	−18.8516	+	26.5976i	−0.690669	+	0.974462i
$746$	17.0297	+	12.4964i	0.623501	+	0.457524i
$747$	6.32130	−	9.50609i	0.231284	−	0.347810i
$748$	18.4070	−	5.78875i	0.673026	−	0.211658i
$749$	1.08761	−	0.291425i	0.0397405	−	0.0106484i
$750$	−17.2592	+	21.2631i	−0.630218	+	0.776418i
$751$	8.33409	+	14.4351i	0.304115	+	0.526743i	0.977064	−	0.212946i	$-0.0683059\pi$
$751$	8.33409	+	14.4351i	0.304115	+	0.526743i	−0.672949	+	0.739689i	$0.734973\pi$
$752$	9.60895	+	26.5223i	0.350402	+	0.967169i
$753$	−6.47362	−	6.89646i	−0.235912	−	0.251321i
$754$	−0.571679	+	1.46846i	−0.0208193	+	0.0534782i
$755$	8.56950	−	7.10750i	0.311876	−	0.258668i
$756$	15.4781	−	23.8555i	0.562934	−	0.867618i
$757$		−	20.9128i		−	0.760087i	−0.924969	−	0.380044i	$-0.875909\pi$
$757$		−	20.9128i		−	0.760087i	0.924969	−	0.380044i	$-0.124091\pi$
$758$	7.58949	+	2.95462i	0.275663	+	0.107317i
$759$	−0.0606435	+	1.91753i	−0.00220122	+	0.0696020i
$760$	1.28892	−	0.132256i	0.0467541	−	0.00479742i
$761$	−8.18936	−	14.1844i	−0.296864	−	0.514184i	0.678553	−	0.734552i	$-0.262608\pi$
$761$	−8.18936	−	14.1844i	−0.296864	−	0.514184i	−0.975417	+	0.220368i	$0.929274\pi$
$762$	−5.21478	+	12.2362i	−0.188912	+	0.443270i
$763$	5.97129	−	10.3426i	0.216175	−	0.374427i
$764$	−16.2712	+	5.11705i	−0.588670	+	0.185129i
$765$	46.8649	−	18.0360i	1.69441	−	0.652094i
$766$	−44.0887	+	6.76921i	−1.59299	+	0.244582i
$767$	7.81464	−	2.09393i	0.282170	−	0.0756073i
$768$	27.4418	−	3.86605i	0.990222	−	0.139504i
$769$	−2.02958	+	1.17178i	−0.0731886	+	0.0422554i	−0.536148	−	0.844124i	$-0.680121\pi$
$769$	−2.02958	+	1.17178i	−0.0731886	+	0.0422554i	0.462959	+	0.886380i	$0.346788\pi$
$770$	−6.13936	−	9.31048i	−0.221247	−	0.335527i
$771$	−5.47763	+	18.1297i	−0.197272	+	0.652926i
$772$	19.2629	+	30.2861i	0.693286	+	1.09002i
$773$			13.0795i			0.470439i	0.971942	+	0.235219i	$0.0755808\pi$
$773$			13.0795i			0.470439i	−0.971942	+	0.235219i	$0.924419\pi$
$774$	−7.05182	+	40.4300i	−0.253472	+	1.45323i
$775$	−8.19322	+	43.5458i	−0.294309	+	1.56421i
$776$	38.2672	+	2.55079i	1.37371	+	0.0915680i
$777$	−3.62198	−	15.4563i	−0.129938	−	0.554490i
$778$	−7.77540	−	9.69529i	−0.278762	−	0.347593i
$779$	0.0839688	+	0.0224994i	0.00300849	+	0.000806124i
$780$	6.15603	+	4.25972i	0.220421	+	0.152523i
$781$	18.2394	−	4.88723i	0.652657	−	0.174879i
$782$	−5.38249	+	7.33510i	−0.192477	+	0.262303i
$783$	−5.90759	+	0.995560i	−0.211120	+	0.0355784i
$784$	−1.11632	−	1.59929i	−0.0398685	−	0.0571176i
$785$	42.6599	−	7.27064i	1.52260	−	0.259500i
$786$	44.8617	−	5.44269i	1.60017	−	0.194134i
$787$	−18.2598	−	31.6268i	−0.650890	−	1.12737i	−0.982907	−	0.184101i	$-0.941063\pi$
$787$	−18.2598	−	31.6268i	−0.650890	−	1.12737i	0.332018	−	0.943273i	$-0.392271\pi$
$788$	0.217864	−	0.237404i	0.00776107	−	0.00845716i
$789$	14.4983	−	3.39750i	0.516153	−	0.120954i
$790$	8.01417	−	16.0046i	0.285131	−	0.569418i
$791$	37.8551			1.34597
$792$	−1.41542	+	10.8442i	−0.0502946	+	0.385331i
$793$	0.688257	−	0.688257i	0.0244407	−	0.0244407i
$794$	−25.7165	+	11.3042i	−0.912645	+	0.401171i
$795$	49.0394	+	19.9520i	1.73925	+	0.707624i
$796$	−18.5953	+	20.2631i	−0.659092	+	0.718206i
$797$	−44.4521	+	25.6645i	−1.57458	+	0.909082i	−0.578979	+	0.815343i	$0.696549\pi$
$797$	−44.4521	+	25.6645i	−1.57458	+	0.909082i	−0.995597	+	0.0937387i	$0.970118\pi$
$798$	−0.193065	+	1.35951i	−0.00683444	+	0.0481260i
$799$	−45.7190	−	26.3959i	−1.61742	−	0.933819i
$800$	5.88624	−	27.6650i	0.208110	−	0.978105i
$801$	2.08585	−	32.9441i	0.0737000	−	1.16402i
$802$	25.2098	−	34.3552i	0.890188	−	1.21312i
$803$	4.82936	−	8.36469i	0.170424	−	0.295183i
$804$	7.39831	+	1.89320i	0.260918	+	0.0667681i
$805$	4.93094	+	1.82674i	0.173793	+	0.0643840i
$806$	12.0398	+	1.32308i	0.424085	+	0.0466035i
$807$	−25.1606	−	26.8040i	−0.885695	−	0.943546i
$808$	0.825855	−	12.3896i	0.0290535	−	0.435864i
$809$		−	28.6928i		−	1.00878i	−0.863475	−	0.504392i	$-0.831717\pi$
$809$		−	28.6928i		−	1.00878i	0.863475	−	0.504392i	$-0.168283\pi$
$810$	−1.90836	+	28.3964i	−0.0670529	+	0.997749i
$811$	6.25818	−	6.25818i	0.219754	−	0.219754i	−0.588641	−	0.808395i	$-0.700337\pi$
$811$	6.25818	−	6.25818i	0.219754	−	0.219754i	0.808395	+	0.588641i	$0.200337\pi$
$812$	−1.37023	+	6.15915i	−0.0480856	+	0.216144i
$813$	0.196332	+	0.00620915i	0.00688565	+	0.000217764i
$814$	3.81958	+	4.76271i	0.133876	+	0.166933i
$815$	−22.9797	−	8.51315i	−0.804943	−	0.298203i
$816$	−34.6329	+	38.6043i	−1.21240	+	1.35142i
$817$	−0.512911	−	1.91421i	−0.0179445	−	0.0669697i
$818$	−38.3370	−	28.1317i	−1.34042	−	0.983600i
$819$	−5.95322	+	5.24425i	−0.208022	+	0.183249i
$820$	1.02993	−	1.59385i	0.0359668	−	0.0556596i
$821$	19.3915	−	5.19594i	0.676768	−	0.181339i	0.0959665	−	0.995385i	$-0.469406\pi$
$821$	19.3915	−	5.19594i	0.676768	−	0.181339i	0.580802	+	0.814045i	$0.302739\pi$
$822$	−11.9506	−	15.9067i	−0.416826	−	0.554809i
$823$	22.9952	+	6.16154i	0.801561	+	0.214778i	0.636269	−	0.771467i	$-0.280477\pi$
$823$	22.9952	+	6.16154i	0.801561	+	0.214778i	0.165292	+	0.986245i	$0.447143\pi$
$824$	3.21991	−	4.80739i	0.112171	−	0.167473i
$825$	9.90348	+	5.14821i	0.344795	+	0.179238i
$826$	29.6558	−	13.0358i	1.03186	−	0.453573i
$827$	44.6425			1.55237			0.776185	−	0.630505i	$-0.217152\pi$
$827$	44.6425			1.55237			0.776185	+	0.630505i	$0.217152\pi$
$828$	−2.48689	−	4.51713i	−0.0864253	−	0.156981i
$829$	−1.54749	+	1.54749i	−0.0537466	+	0.0537466i	−0.733469	−	0.679723i	$-0.762100\pi$
$829$	−1.54749	+	1.54749i	−0.0537466	+	0.0537466i	0.679723	+	0.733469i	$0.262100\pi$
$830$	10.7599	+	5.38793i	0.373481	+	0.187018i
$831$	−25.2786	−	15.6804i	−0.876905	−	0.543946i
$832$	−7.66323	−	1.02618i	−0.265675	−	0.0355764i
$833$	3.52559	+	0.944680i	0.122155	+	0.0327312i
$834$	2.21118	+	18.2258i	0.0765670	+	0.631109i
$835$	−8.70161	+	12.2771i	−0.301132	+	0.424865i
$836$	−0.158424	−	0.503755i	−0.00547921	−	0.0174227i
$837$	19.1439	+	41.8801i	0.661711	+	1.44759i
$838$	−2.52929	−	16.4735i	−0.0873728	−	0.569069i
$839$	24.0595	+	13.8908i	0.830627	+	0.479563i	0.854067	−	0.520162i	$-0.174129\pi$
$839$	24.0595	+	13.8908i	0.830627	+	0.479563i	−0.0234400	+	0.999725i	$0.507462\pi$
$840$	26.9523	+	13.1181i	0.929943	+	0.452616i
$841$	−23.9635	+	13.8354i	−0.826329	+	0.477081i
$842$	20.3459	+	25.3697i	0.701168	+	0.874299i
$843$	13.6255	−	21.9659i	0.469287	−	0.756546i
$844$	−19.2774	−	30.3089i	−0.663556	−	1.04328i
$845$	17.2241	+	20.7670i	0.592526	+	0.714407i
$846$	24.4776	−	17.2070i	0.841559	−	0.591589i
$847$	18.0697	−	18.0697i	0.620883	−	0.620883i
$848$	−54.4780	+	4.68505i	−1.87078	+	0.160885i
$849$	−11.1639	−	20.8306i	−0.383144	−	0.714903i
$850$	24.9097	+	46.7045i	0.854395	+	1.60195i
$851$	−2.78051	−	0.745037i	−0.0953148	−	0.0255395i
$852$	−35.4805	+	36.2900i	−1.21554	+	1.24328i
$853$	−15.0416	+	26.0529i	−0.515016	+	0.892034i	0.484832	+	0.874607i	$0.338881\pi$
$853$	−15.0416	+	26.0529i	−0.515016	+	0.892034i	−0.999848	+	0.0174266i	$0.994453\pi$
$854$	2.30571	−	3.14215i	0.0788997	−	0.107522i
$855$	−0.493603	−	1.28258i	−0.0168809	−	0.0438634i
$856$	0.375336	−	1.10169i	0.0128287	−	0.0376549i
$857$	10.0664	+	37.5682i	0.343860	+	1.28330i	0.893938	+	0.448191i	$0.147931\pi$
$857$	10.0664	+	37.5682i	0.343860	+	1.28330i	−0.550078	+	0.835113i	$0.685402\pi$
$858$	1.19620	−	2.80682i	0.0408378	−	0.0958234i
$859$	13.0871	−	48.8418i	0.446526	−	1.66646i	−0.265348	−	0.964153i	$-0.585487\pi$
$859$	13.0871	−	48.8418i	0.446526	−	1.66646i	0.711874	−	0.702307i	$-0.247846\pi$
$860$	−43.2061	−	2.16621i	−1.47332	−	0.0738673i
$861$	1.37641	+	1.46631i	0.0469078	+	0.0499717i
$862$	15.2324	+	34.6529i	0.518816	+	1.18028i
$863$	−9.15731	+	9.15731i	−0.311718	+	0.311718i	−0.845575	−	0.533857i	$-0.820742\pi$
$863$	−9.15731	+	9.15731i	−0.311718	+	0.311718i	0.533857	+	0.845575i	$0.320742\pi$
$864$	−11.5841	−	27.0150i	−0.394100	−	0.919068i
$865$	−26.5287	−	31.9856i	−0.902003	−	1.08754i
$866$	12.5261	+	4.87646i	0.425653	+	0.165709i
$867$	2.13723	−	67.5786i	0.0725841	−	2.29509i
$868$	48.4543	−	2.07967i	1.64464	−	0.0705886i
$869$	−7.04646	−	1.88809i	−0.239035	−	0.0640492i
$870$	−1.80300	−	6.05209i	−0.0611275	−	0.205185i
$871$	−1.84513	−	1.06529i	−0.0625199	−	0.0360959i
$872$	−5.44754	−	11.0775i	−0.184477	−	0.375130i
$873$	−8.02452	−	39.8793i	−0.271589	−	1.34971i
$874$	0.200744	+	0.147306i	0.00679027	+	0.00498269i
$875$	22.0009	−	21.2582i	0.743765	−	0.718658i
$876$	0.292792	+	25.9587i	0.00989253	+	0.877064i
$877$	−14.6058	−	25.2979i	−0.493202	−	0.854250i	0.506768	−	0.862083i	$-0.330840\pi$
$877$	−14.6058	−	25.2979i	−0.493202	−	0.854250i	−0.999969	+	0.00783249i	$0.997507\pi$
$878$	−0.335327	+	3.05143i	−0.0113167	+	0.102981i
$879$	32.5603	−	17.4503i	1.09823	−	0.588585i
$880$	−11.5274	−	0.0830092i	−0.388589	−	0.00279824i
$881$			10.4195i			0.351041i	0.984476	+	0.175520i	$0.0561608\pi$
$881$			10.4195i			0.351041i	−0.984476	+	0.175520i	$0.943839\pi$
$882$	−1.32678	+	1.58715i	−0.0446751	+	0.0534421i
$883$			4.34131i			0.146097i	0.997328	+	0.0730484i	$0.0232728\pi$
$883$			4.34131i			0.146097i	−0.997328	+	0.0730484i	$0.976727\pi$
$884$	12.2090	−	7.76528i	0.410632	−	0.261175i
$885$	−19.5745	+	25.8453i	−0.657989	+	0.868779i
$886$	−11.1148	−	1.22143i	−0.373410	−	0.0410348i
$887$	−1.52890	−	0.409667i	−0.0513354	−	0.0137553i	0.233060	−	0.972462i	$-0.425126\pi$
$887$	−1.52890	−	0.409667i	−0.0513354	−	0.0137553i	−0.284395	+	0.958707i	$0.591793\pi$
$888$	−15.3574	−	5.78012i	−0.515362	−	0.193968i
$889$	7.42937	−	12.8680i	0.249173	−	0.431580i
$890$	34.7344	−	2.06418i	1.16430	−	0.0691916i
$891$	11.4935	−	1.56507i	0.385046	−	0.0524320i
$892$	24.4602	−	46.9029i	0.818988	−	1.57043i
$893$	−0.722392	+	1.25122i	−0.0241739	+	0.0418705i
$894$	−35.4525	+	4.30115i	−1.18571	+	0.143852i
$895$	24.8040	−	11.3939i	0.829106	−	0.380858i
$896$	−30.9525	+	0.595262i	−1.03405	+	0.0198863i
$897$	0.328228	+	1.40066i	0.0109592	+	0.0467668i
$898$	−30.5307	+	13.4204i	−1.01882	+	0.447843i
$899$	−7.22479	−	7.22479i	−0.240960	−	0.240960i
$900$	−29.9538	+	1.66370i	−0.998461	+	0.0554568i
$901$	72.3569	−	72.3569i	2.41056	−	2.41056i
$902$	−0.720733	−	0.280584i	−0.0239978	−	0.00934244i
$903$	13.2599	−	43.8872i	0.441261	−	1.46047i
$904$	21.7749	−	32.5104i	0.724224	−	1.08128i
$905$	−23.1971	−	50.4987i	−0.771097	−	1.67863i
$906$	12.0749	+	1.71477i	0.401162	+	0.0569695i
$907$	19.6404	+	11.3394i	0.652147	+	0.376517i	0.789278	−	0.614036i	$-0.210455\pi$
$907$	19.6404	+	11.3394i	0.652147	+	0.376517i	−0.137131	+	0.990553i	$0.543788\pi$
$908$	42.3959	−	13.3329i	1.40696	−	0.442469i
$909$	−12.9115	+	2.59806i	−0.428247	+	0.0861721i
$910$	−6.25379	−	5.55218i	−0.207311	−	0.184053i
$911$	−18.8287	−	10.8708i	−0.623822	−	0.360164i	0.154533	−	0.987988i	$-0.450613\pi$
$911$	−18.8287	−	10.8708i	−0.623822	−	0.360164i	−0.778356	+	0.627824i	$0.783946\pi$
$912$	1.05651	+	0.947820i	0.0349844	+	0.0313855i
$913$	1.26937	−	4.73734i	0.0420099	−	0.156783i
$914$	−28.3627	+	22.7462i	−0.938155	+	0.752379i
$915$	−0.484772	+	3.87035i	−0.0160261	+	0.127950i
$916$	−19.3187	−	30.3738i	−0.638308	−	1.00358i
$917$	−50.4829			−1.66709
$918$	49.1408	+	24.7211i	1.62189	+	0.815917i
$919$	−36.9678			−1.21946			−0.609728	−	0.792611i	$-0.708721\pi$
$919$	−36.9678			−1.21946			−0.609728	+	0.792611i	$0.708721\pi$
$920$	4.40519	−	3.18398i	0.145235	−	0.104973i
$921$	34.5226	+	1.09181i	1.13756	+	0.0359762i
$922$	28.4431	+	35.4662i	0.936724	+	1.16802i
$923$	12.2625	−	7.07978i	0.403626	−	0.233034i
$924$	3.02867	−	11.8355i	0.0996359	−	0.389360i
$925$	−10.9112	+	12.7053i	−0.358759	+	0.417748i
$926$	−2.21932	−	14.4547i	−0.0729315	−	0.475012i
$927$	−5.81575	−	1.95980i	−0.191014	−	0.0643682i
$928$	4.50137	+	4.71963i	0.147765	+	0.154929i
$929$	−12.5199	+	21.6851i	−0.410764	+	0.711464i	−0.994973	−	0.100139i	$-0.968071\pi$
$929$	−12.5199	+	21.6851i	−0.410764	+	0.711464i	0.584209	+	0.811603i	$0.301405\pi$
$930$	−41.3467	+	25.4262i	−1.35581	+	0.833759i
$931$	0.0258536	−	0.0964871i	0.000847319	−	0.00316224i
$932$	39.3823	−	1.69030i	1.29001	−	0.0553676i
$933$	−24.8133	−	46.2987i	−0.812350	−	1.51575i
$934$	−21.5390	−	49.0002i	−0.704777	−	1.60334i
$935$	16.6052	−	13.7723i	0.543049	−	0.450402i
$936$	1.07942	+	8.12928i	0.0352821	+	0.265714i
$937$	16.1861	+	16.1861i	0.528778	+	0.528778i	0.920208	−	0.391430i	$-0.128020\pi$
$937$	16.1861	+	16.1861i	0.528778	+	0.528778i	−0.391430	+	0.920208i	$0.628020\pi$
$938$	−7.94984	−	3.09491i	−0.259571	−	0.101052i
$939$	2.34719	+	10.0163i	0.0765975	+	0.326868i
$940$	21.1567	+	23.3902i	0.690056	+	0.762903i
$941$	34.2412	+	9.17491i	1.11623	+	0.299093i	0.769358	−	0.638818i	$-0.220576\pi$
$941$	34.2412	+	9.17491i	1.11623	+	0.299093i	0.346874	+	0.937912i	$0.387243\pi$
$942$	37.3139	+	29.2395i	1.21575	+	0.952675i
$943$	0.352247	−	0.0943844i	0.0114708	−	0.00307358i
$944$	5.86328	−	32.9672i	0.190833	−	1.07299i
$945$	5.93686	−	31.2342i	0.193126	−	1.01605i
$946$	2.67572	+	17.4273i	0.0869951	+	0.566609i
$947$	−35.0599	−	20.2419i	−1.13930	−	0.657772i	−0.193039	−	0.981191i	$-0.561834\pi$
$947$	−35.0599	−	20.2419i	−1.13930	−	0.657772i	−0.946256	+	0.323419i	$0.895168\pi$
$948$	18.8808	−	5.28804i	0.613221	−	0.171748i
$949$	1.87455	−	6.99593i	0.0608506	−	0.227098i
$950$	1.27819	−	0.681719i	0.0414700	−	0.0221179i
$951$	16.9892	+	10.5385i	0.550914	+	0.341733i
$952$	43.6010	−	38.1516i	1.41312	−	1.23650i
$953$	6.63130	+	6.63130i	0.214809	+	0.214809i	0.806307	−	0.591498i	$-0.201463\pi$
$953$	6.63130	+	6.63130i	0.214809	+	0.214809i	−0.591498	+	0.806307i	$0.701463\pi$
$954$	19.9365	+	54.4616i	0.645470	+	1.76326i
$955$	−14.6784	+	12.1742i	−0.474983	+	0.393949i
$956$	−31.6804	−	7.04795i	−1.02462	−	0.227947i
$957$	−2.26851	+	1.21578i	−0.0733305	+	0.0393006i
$958$	4.60419	−	41.8975i	0.148755	−	1.35365i
$959$	11.1128	+	19.2480i	0.358853	+	0.621551i
$960$	26.7694	−	15.6012i	0.863979	−	0.503527i
$961$	−23.7673	+	41.1662i	−0.766687	+	1.32794i
$962$	3.69092	+	2.70839i	0.119000	+	0.0873220i
$963$	−1.23200	−	0.0780043i	−0.0397008	−	0.00251365i
$964$	−4.62019	−	14.6912i	−0.148806	−	0.473173i
$965$	32.7399	+	23.2051i	1.05394	+	0.746998i
$966$	2.15015	+	5.34399i	0.0691801	+	0.171940i
$967$	−1.45746	+	5.43932i	−0.0468688	+	0.174917i	−0.985393	−	0.170298i	$-0.945527\pi$
$967$	−1.45746	+	5.43932i	−0.0468688	+	0.174917i	0.938524	+	0.345214i	$0.112194\pi$
$968$	−5.12446	−	25.9125i	−0.164706	−	0.832860i
$969$	−2.65490	−	0.0839633i	−0.0852876	−	0.00269729i
$970$	40.6866	−	13.5354i	1.30637	−	0.434595i
$971$	−26.3041	−	26.3041i	−0.844139	−	0.844139i	0.145256	−	0.989394i	$-0.453600\pi$
$971$	−26.3041	−	26.3041i	−0.844139	−	0.844139i	−0.989394	+	0.145256i	$0.953600\pi$
$972$	−24.4330	+	19.3657i	−0.783688	+	0.621155i
$973$		−	20.5095i		−	0.657505i
$974$	−3.46761	−	1.34996i	−0.111110	−	0.0432554i
$975$	8.17238	+	1.80686i	0.261726	+	0.0578657i
$976$	−1.37223	−	3.78760i	−0.0439241	−	0.121238i
$977$	−3.01567	+	11.2546i	−0.0964798	+	0.360067i	−0.997240	−	0.0742500i	$-0.976344\pi$
$977$	−3.01567	+	11.2546i	−0.0964798	+	0.360067i	0.900760	+	0.434317i	$0.143010\pi$
$978$	−10.0204	−	24.9046i	−0.320416	−	0.796362i
$979$	−3.67046	−	13.6983i	−0.117308	−	0.437800i
$980$	−1.83146	−	1.18348i	−0.0585040	−	0.0378048i
$981$	−9.82487	+	8.65483i	−0.313684	+	0.276327i
$982$	−6.28137	−	40.9113i	−0.200446	−	1.30553i
$983$	−12.9453	+	3.46868i	−0.412891	+	0.110634i	−0.459284	−	0.888289i	$-0.651894\pi$
$983$	−12.9453	+	3.46868i	−0.412891	+	0.110634i	0.0463931	+	0.998923i	$0.485227\pi$
$984$	2.05102	−	0.338626i	0.0653841	−	0.0107950i
$985$	0.125149	−	0.337816i	0.00398756	−	0.0107637i
$986$	−12.1325	−	1.33327i	−0.386379	−	0.0424599i
$987$	−29.4602	+	15.7889i	−0.937729	+	0.502565i
$988$	−0.212517	−	0.334130i	−0.00676107	−	0.0106301i
$989$	−5.87842	−	5.87842i	−0.186923	−	0.186923i
$990$	3.11882	+	11.8225i	0.0991226	+	0.375745i
$991$	−0.867126			−0.0275452			−0.0137726	−	0.999905i	$-0.504384\pi$
$991$	−0.867126			−0.0275452			−0.0137726	+	0.999905i	$0.504384\pi$
$992$	26.0857	−	42.8094i	0.828223	−	1.35920i
$993$	4.14521	+	17.6890i	0.131544	+	0.561345i
$994$	44.2296	−	35.4712i	1.40288	−	1.12508i
$995$	−10.6818	+	28.8335i	−0.338635	+	0.914084i
$996$	3.55515	+	12.6936i	0.112649	+	0.402211i
$997$	−8.89049	−	5.13292i	−0.281565	−	0.162561i	0.352567	−	0.935787i	$-0.385309\pi$
$997$	−8.89049	−	5.13292i	−0.281565	−	0.162561i	−0.634131	+	0.773225i	$0.718642\pi$
$998$	−35.0787	+	5.38585i	−1.11040	+	0.170486i
$999$	−1.64828	+	17.3263i	−0.0521491	+	0.548181i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	720.2.cq.a.173.19	yes	560
5.2	odd	4		720.2.cm.a.317.51	yes	560
9.5	odd	6	inner	720.2.cq.a.653.66	yes	560
16.5	even	4		720.2.cm.a.533.4	yes	560
45.32	even	12		720.2.cm.a.77.4	✓	560
80.37	odd	4	inner	720.2.cq.a.677.66	yes	560
144.5	odd	12		720.2.cm.a.293.51	yes	560
720.437	even	12	inner	720.2.cq.a.437.19	yes	560

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
720.2.cm.a.77.4	✓	560	45.32	even	12
720.2.cm.a.293.51	yes	560	144.5	odd	12
720.2.cm.a.317.51	yes	560	5.2	odd	4
720.2.cm.a.533.4	yes	560	16.5	even	4
720.2.cq.a.173.19	yes	560	1.1	even	1	trivial
720.2.cq.a.437.19	yes	560	720.437	even	12	inner
720.2.cq.a.653.66	yes	560	9.5	odd	6	inner
720.2.cq.a.677.66	yes	560	80.37	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 720 = 2^{4} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	720.cq (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.29466 + 0.569091i) q^{2} +(-1.73119 - 0.0547502i) q^{3} +(1.35227 - 1.47356i) q^{4} +(0.776792 - 2.09681i) q^{5} +(2.27245 - 0.914320i) q^{6} +(-2.64311 + 0.708218i) q^{7} +(-0.912138 + 2.67731i) q^{8} +(2.99400 + 0.189565i) q^{9} +O(q^{10})\)	\(q+(-1.29466 + 0.569091i) q^{2} +(-1.73119 - 0.0547502i) q^{3} +(1.35227 - 1.47356i) q^{4} +(0.776792 - 2.09681i) q^{5} +(2.27245 - 0.914320i) q^{6} +(-2.64311 + 0.708218i) q^{7} +(-0.912138 + 2.67731i) q^{8} +(2.99400 + 0.189565i) q^{9} +(0.187596 + 3.15671i) q^{10} +(1.24492 - 0.333576i) q^{11} +(-2.42171 + 2.47696i) q^{12} +(0.836974 - 0.483227i) q^{13} +(3.01887 - 2.42107i) q^{14} +(-1.45957 + 3.58743i) q^{15} +(-0.342731 - 3.98529i) q^{16} +(5.29320 + 5.29320i) q^{17} +(-3.98409 + 1.45844i) q^{18} +(0.144862 - 0.144862i) q^{19} +(-2.03933 - 3.98009i) q^{20} +(4.61448 - 1.08135i) q^{21} +(-1.42191 + 1.14034i) q^{22} +(0.222432 - 0.830126i) q^{23} +(1.72566 - 4.58499i) q^{24} +(-3.79319 - 3.25756i) q^{25} +(-0.808593 + 1.10193i) q^{26} +(-5.17280 - 0.492095i) q^{27} +(-2.53060 + 4.85247i) q^{28} +(1.11366 - 0.298405i) q^{29} +(-0.151933 - 5.47512i) q^{30} +(-4.43099 - 7.67470i) q^{31} +(2.71171 + 4.96454i) q^{32} +(-2.17346 + 0.509322i) q^{33} +(-9.86520 - 3.84056i) q^{34} +(-0.568147 + 6.09222i) q^{35} +(4.32804 - 4.15549i) q^{36} -3.34951i q^{37} +(-0.105107 + 0.269987i) q^{38} +(-1.47541 + 0.790731i) q^{39} +(4.90526 + 3.99229i) q^{40} +(0.212165 + 0.367480i) q^{41} +(-5.35879 + 4.02604i) q^{42} +(4.83666 - 8.37733i) q^{43} +(1.19193 - 2.28555i) q^{44} +(2.72320 - 6.13059i) q^{45} +(0.184445 + 1.20131i) q^{46} +(-6.81203 + 1.82528i) q^{47} +(0.375135 + 6.91804i) q^{48} +(0.422265 - 0.243795i) q^{49} +(6.76473 + 2.05875i) q^{50} +(-8.87371 - 9.45332i) q^{51} +(0.419753 - 1.88678i) q^{52} -13.6698i q^{53} +(6.97704 - 2.30670i) q^{54} +(0.267601 - 2.86948i) q^{55} +(0.514755 - 7.72242i) q^{56} +(-0.258715 + 0.242852i) q^{57} +(-1.27199 + 1.02011i) q^{58} +(8.08589 + 2.16661i) q^{59} +(3.31254 + 7.00193i) q^{60} +(0.972811 - 0.260664i) q^{61} +(10.1042 + 7.41446i) q^{62} +(-8.04773 + 1.61937i) q^{63} +(-6.33601 - 4.88416i) q^{64} +(-0.363079 - 2.13034i) q^{65} +(2.52403 - 1.89629i) q^{66} +(-1.10226 - 1.90918i) q^{67} +(14.9577 - 0.641987i) q^{68} +(-0.430520 + 1.42492i) q^{69} +(-2.73148 - 8.21066i) q^{70} +14.6510 q^{71} +(-3.23847 + 7.84298i) q^{72} +(5.29914 - 5.29914i) q^{73} +(1.90618 + 4.33646i) q^{74} +(6.38836 + 5.84712i) q^{75} +(-0.0175697 - 0.409356i) q^{76} +(-3.05422 + 1.76335i) q^{77} +(1.46015 - 1.86337i) q^{78} +(-4.90184 - 2.83008i) q^{79} +(-8.62261 - 2.37710i) q^{80} +(8.92813 + 1.13512i) q^{81} +(-0.483811 - 0.355020i) q^{82} +(1.90266 - 3.29551i) q^{83} +(4.64660 - 8.26197i) q^{84} +(15.2105 - 6.98711i) q^{85} +(-1.49434 + 13.5983i) q^{86} +(-1.94429 + 0.455621i) q^{87} +(-0.242453 + 3.63732i) q^{88} -11.0034i q^{89} +(-0.0367393 + 9.48676i) q^{90} +(-1.86998 + 1.86998i) q^{91} +(-0.922449 - 1.45032i) q^{92} +(7.25067 + 13.5289i) q^{93} +(7.78048 - 6.23977i) q^{94} +(-0.191220 - 0.416276i) q^{95} +(-4.42267 - 8.74300i) q^{96} +(-3.50947 - 13.0975i) q^{97} +(-0.407947 + 0.555938i) q^{98} +(3.79054 - 0.762734i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 560 q - 6 q^{2} - 6 q^{5} - 8 q^{6}+O(q^{10}) \) 560 * q - 6 * q^2 - 6 * q^5 - 8 * q^6	\( 560 q - 6 q^{2} - 6 q^{5} - 8 q^{6} - 12 q^{11} - 10 q^{12} - 8 q^{15} - 4 q^{16} + 20 q^{18} - 6 q^{20} - 8 q^{21} + 6 q^{22} - 24 q^{24} + 8 q^{28} + 28 q^{30} - 8 q^{31} + 54 q^{32} - 8 q^{33} - 12 q^{34} + 8 q^{36} - 18 q^{38} - 24 q^{39} + 8 q^{40} - 46 q^{42} - 4 q^{43} - 14 q^{45} - 40 q^{46} - 12 q^{47} - 22 q^{48} - 6 q^{50} - 8 q^{51} - 18 q^{52} + 24 q^{54} - 12 q^{56} + 24 q^{57} - 10 q^{58} - 88 q^{60} - 4 q^{61} + 20 q^{63} - 24 q^{64} - 12 q^{65} + 24 q^{66} - 4 q^{67} - 30 q^{68} + 12 q^{69} + 2 q^{70} - 22 q^{72} + 24 q^{74} - 66 q^{75} + 8 q^{76} - 12 q^{77} - 122 q^{78} - 16 q^{81} - 12 q^{84} - 12 q^{85} - 12 q^{86} + 12 q^{87} - 10 q^{88} - 94 q^{90} - 16 q^{91} - 120 q^{92} - 12 q^{95} + 48 q^{96} - 4 q^{97} + 32 q^{99}+O(q^{100}) \) 560 * q - 6 * q^2 - 6 * q^5 - 8 * q^6 - 12 * q^11 - 10 * q^12 - 8 * q^15 - 4 * q^16 + 20 * q^18 - 6 * q^20 - 8 * q^21 + 6 * q^22 - 24 * q^24 + 8 * q^28 + 28 * q^30 - 8 * q^31 + 54 * q^32 - 8 * q^33 - 12 * q^34 + 8 * q^36 - 18 * q^38 - 24 * q^39 + 8 * q^40 - 46 * q^42 - 4 * q^43 - 14 * q^45 - 40 * q^46 - 12 * q^47 - 22 * q^48 - 6 * q^50 - 8 * q^51 - 18 * q^52 + 24 * q^54 - 12 * q^56 + 24 * q^57 - 10 * q^58 - 88 * q^60 - 4 * q^61 + 20 * q^63 - 24 * q^64 - 12 * q^65 + 24 * q^66 - 4 * q^67 - 30 * q^68 + 12 * q^69 + 2 * q^70 - 22 * q^72 + 24 * q^74 - 66 * q^75 + 8 * q^76 - 12 * q^77 - 122 * q^78 - 16 * q^81 - 12 * q^84 - 12 * q^85 - 12 * q^86 + 12 * q^87 - 10 * q^88 - 94 * q^90 - 16 * q^91 - 120 * q^92 - 12 * q^95 + 48 * q^96 - 4 * q^97 + 32 * q^99

Introduction

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