LMFDB - Embedded newform 370.2.o.b.181.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 3 x^{17} + 18 x^{16} - 25 x^{15} + 132 x^{14} - 135 x^{13} + 666 x^{12} - 297 x^{11} + 1845 x^{10} + \cdots + 9 $ x^18 - 3x^17 + 18x^16 - 25x^15 + 132x^14 - 135x^13 + 666x^12 - 297x^11 + 1845x^10 - 382x^9 + 3810x^8 - 63x^7 + 3325x^6 - 1329x^5 + 1332x^4 - 192x^3 + 117x^2 + 9
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 3^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			181.1
Root			$1.39238 - 2.41167i$ of defining polynomial
Character	$\chi$	$=$	370.181
Dual form			370.2.o.b.231.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.173648 + 0.984808i) q^{2} +(-0.483568 - 2.74245i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.766044 + 0.642788i) q^{5} +2.78476 q^{6} +(-2.74168 + 2.30055i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.46812 + 1.62626i) q^{9} +O(q^{10})$	\(q+(-0.173648 + 0.984808i) q^{2} +(-0.483568 - 2.74245i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.766044 + 0.642788i) q^{5} +2.78476 q^{6} +(-2.74168 + 2.30055i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.46812 + 1.62626i) q^{9} +(-0.500000 - 0.866025i) q^{10} +(-1.18256 + 2.04826i) q^{11} +(-0.483568 + 2.74245i) q^{12} +(1.42199 + 0.517562i) q^{13} +(-1.78951 - 3.09952i) q^{14} +(2.13325 + 1.79001i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-0.105859 + 0.0385295i) q^{17} +(-0.825676 - 4.68264i) q^{18} +(1.05907 + 6.00630i) q^{19} +(0.939693 - 0.342020i) q^{20} +(7.63493 + 6.40646i) q^{21} +(-1.81179 - 1.52027i) q^{22} +(0.0857174 + 0.148467i) q^{23} +(-2.61682 - 0.952443i) q^{24} +(0.173648 - 0.984808i) q^{25} +(-0.756625 + 1.31051i) q^{26} +(2.44345 + 4.23218i) q^{27} +(3.36317 - 1.22409i) q^{28} +(-3.37349 + 5.84306i) q^{29} +(-2.13325 + 1.79001i) q^{30} -9.78160 q^{31} +(-0.766044 + 0.642788i) q^{32} +(6.18910 + 2.25265i) q^{33} +(-0.0195620 - 0.110941i) q^{34} +(0.621489 - 3.52464i) q^{35} +4.75488 q^{36} +(-4.70979 - 3.84940i) q^{37} -6.09896 q^{38} +(0.731759 - 4.15001i) q^{39} +(0.173648 + 0.984808i) q^{40} +(11.4481 + 4.16679i) q^{41} +(-7.63493 + 6.40646i) q^{42} -6.91749 q^{43} +(1.81179 - 1.52027i) q^{44} +(2.37744 - 4.11784i) q^{45} +(-0.161096 + 0.0586341i) q^{46} +(-4.30903 - 7.46346i) q^{47} +(1.39238 - 2.41167i) q^{48} +(1.00878 - 5.72109i) q^{49} +(0.939693 + 0.342020i) q^{50} +(0.156855 + 0.271682i) q^{51} +(-1.15922 - 0.972698i) q^{52} +(-0.934497 - 0.784136i) q^{53} +(-4.59219 + 1.67142i) q^{54} +(-0.410700 - 2.32919i) q^{55} +(0.621489 + 3.52464i) q^{56} +(15.9598 - 5.80891i) q^{57} +(-5.16849 - 4.33688i) q^{58} +(-0.587543 - 0.493008i) q^{59} +(-1.39238 - 2.41167i) q^{60} +(-2.72064 - 0.990233i) q^{61} +(1.69856 - 9.63300i) q^{62} +(8.50888 - 14.7378i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.42199 + 0.517562i) q^{65} +(-3.29315 + 5.70390i) q^{66} +(0.0466389 - 0.0391347i) q^{67} +0.112653 q^{68} +(0.365713 - 0.306870i) q^{69} +(3.36317 + 1.22409i) q^{70} +(-1.17210 - 6.64731i) q^{71} +(-0.825676 + 4.68264i) q^{72} -1.90025 q^{73} +(4.60876 - 3.96980i) q^{74} -2.78476 q^{75} +(1.05907 - 6.00630i) q^{76} +(-1.46990 - 8.33621i) q^{77} +(3.95990 + 1.44128i) q^{78} +(-9.61938 + 8.07161i) q^{79} -1.00000 q^{80} +(-0.502359 + 0.421529i) q^{81} +(-6.09143 + 10.5507i) q^{82} +(1.48240 - 0.539550i) q^{83} +(-4.98334 - 8.63140i) q^{84} +(0.0563264 - 0.0975602i) q^{85} +(1.20121 - 6.81240i) q^{86} +(17.6556 + 6.42612i) q^{87} +(1.18256 + 2.04826i) q^{88} +(12.1158 + 10.1663i) q^{89} +(3.64245 + 3.05638i) q^{90} +(-5.08932 + 1.85236i) q^{91} +(-0.0297693 - 0.168830i) q^{92} +(4.73007 + 26.8256i) q^{93} +(8.09833 - 2.94755i) q^{94} +(-4.67207 - 3.92033i) q^{95} +(2.13325 + 1.79001i) q^{96} +(8.37898 + 14.5128i) q^{97} +(5.45900 + 1.98691i) q^{98} +(1.95283 - 11.0750i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 6 q^{6} - 9 q^{7} + 9 q^{8} - 12 q^{9}+O(q^{10}) $ 18 * q + 6 * q^6 - 9 * q^7 + 9 * q^8 - 12 * q^9	$ 18 q + 6 q^{6} - 9 q^{7} + 9 q^{8} - 12 q^{9} - 9 q^{10} + 15 q^{11} + 3 q^{13} - 6 q^{14} + 6 q^{17} - 6 q^{18} - 3 q^{19} - 12 q^{21} - 12 q^{22} + 15 q^{23} + 6 q^{26} + 12 q^{27} + 9 q^{28} - 12 q^{29} + 54 q^{31} + 9 q^{33} + 3 q^{34} - 12 q^{37} - 24 q^{38} - 30 q^{39} + 15 q^{41} + 12 q^{42} - 60 q^{43} + 12 q^{44} - 6 q^{46} + 6 q^{47} + 3 q^{48} - 27 q^{49} - 6 q^{51} - 6 q^{52} + 12 q^{53} - 9 q^{54} + 6 q^{55} + 45 q^{57} + 3 q^{58} - 27 q^{59} - 3 q^{60} - 9 q^{62} + 18 q^{63} - 9 q^{64} - 3 q^{65} - 9 q^{66} - 54 q^{67} + 12 q^{68} - 6 q^{69} + 9 q^{70} + 36 q^{71} - 6 q^{72} - 6 q^{73} + 18 q^{74} - 6 q^{75} - 3 q^{76} - 24 q^{77} + 12 q^{78} + 12 q^{79} - 18 q^{80} - 6 q^{81} + 3 q^{82} - 15 q^{83} - 6 q^{84} + 6 q^{85} + 30 q^{87} - 15 q^{88} + 84 q^{89} + 6 q^{90} + 12 q^{91} - 12 q^{92} - 18 q^{93} + 36 q^{94} - 24 q^{95} - 9 q^{97} - 30 q^{99}+O(q^{100}) $ 18 * q + 6 * q^6 - 9 * q^7 + 9 * q^8 - 12 * q^9 - 9 * q^10 + 15 * q^11 + 3 * q^13 - 6 * q^14 + 6 * q^17 - 6 * q^18 - 3 * q^19 - 12 * q^21 - 12 * q^22 + 15 * q^23 + 6 * q^26 + 12 * q^27 + 9 * q^28 - 12 * q^29 + 54 * q^31 + 9 * q^33 + 3 * q^34 - 12 * q^37 - 24 * q^38 - 30 * q^39 + 15 * q^41 + 12 * q^42 - 60 * q^43 + 12 * q^44 - 6 * q^46 + 6 * q^47 + 3 * q^48 - 27 * q^49 - 6 * q^51 - 6 * q^52 + 12 * q^53 - 9 * q^54 + 6 * q^55 + 45 * q^57 + 3 * q^58 - 27 * q^59 - 3 * q^60 - 9 * q^62 + 18 * q^63 - 9 * q^64 - 3 * q^65 - 9 * q^66 - 54 * q^67 + 12 * q^68 - 6 * q^69 + 9 * q^70 + 36 * q^71 - 6 * q^72 - 6 * q^73 + 18 * q^74 - 6 * q^75 - 3 * q^76 - 24 * q^77 + 12 * q^78 + 12 * q^79 - 18 * q^80 - 6 * q^81 + 3 * q^82 - 15 * q^83 - 6 * q^84 + 6 * q^85 + 30 * q^87 - 15 * q^88 + 84 * q^89 + 6 * q^90 + 12 * q^91 - 12 * q^92 - 18 * q^93 + 36 * q^94 - 24 * q^95 - 9 * q^97 - 30 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{5}{9}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.173648	+	0.984808i	−0.122788	+	0.696364i
$2$	−0.173648	+	0.984808i	−0.122788	+	0.696364i
$3$	−0.483568	−	2.74245i	−0.279188	−	1.58335i	−0.725336	−	0.688395i	$-0.758315\pi$
$3$	−0.483568	−	2.74245i	−0.279188	−	1.58335i	0.446147	−	0.894959i	$-0.352796\pi$
$4$	−0.939693	−	0.342020i	−0.469846	−	0.171010i
$5$	−0.766044	+	0.642788i	−0.342585	+	0.287463i
$5$	−0.766044	+	0.642788i	−0.342585	+	0.287463i
$6$	2.78476			1.13687
$7$	−2.74168	+	2.30055i	−1.03626	+	0.869525i	−0.991582	−	0.129477i	$-0.958670\pi$
$7$	−2.74168	+	2.30055i	−1.03626	+	0.869525i	−0.0446767	+	0.999001i	$0.514226\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	−4.46812	+	1.62626i	−1.48937	+	0.542088i
$10$	−0.500000	−	0.866025i	−0.158114	−	0.273861i
$11$	−1.18256	+	2.04826i	−0.356556	+	0.617573i	−0.987383	−	0.158350i	$-0.949382\pi$
$11$	−1.18256	+	2.04826i	−0.356556	+	0.617573i	0.630827	+	0.775923i	$0.282716\pi$
$12$	−0.483568	+	2.74245i	−0.139594	+	0.791677i
$13$	1.42199	+	0.517562i	0.394389	+	0.143546i	0.531599	−	0.846996i	$-0.321591\pi$
$13$	1.42199	+	0.517562i	0.394389	+	0.143546i	−0.137210	+	0.990542i	$0.543814\pi$
$14$	−1.78951	−	3.09952i	−0.478266	−	0.828381i
$15$	2.13325	+	1.79001i	0.550802	+	0.462178i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−0.105859	+	0.0385295i	−0.0256746	+	0.00934479i	−0.354826	−	0.934933i	$-0.615460\pi$
$17$	−0.105859	+	0.0385295i	−0.0256746	+	0.00934479i	0.329151	+	0.944277i	$0.393238\pi$
$18$	−0.825676	−	4.68264i	−0.194614	−	1.10371i
$19$	1.05907	+	6.00630i	0.242968	+	1.37794i	0.825165	+	0.564892i	$0.191082\pi$
$19$	1.05907	+	6.00630i	0.242968	+	1.37794i	−0.582197	+	0.813048i	$0.697807\pi$
$20$	0.939693	−	0.342020i	0.210122	−	0.0764780i
$21$	7.63493	+	6.40646i	1.66608	+	1.39800i
$22$	−1.81179	−	1.52027i	−0.386275	−	0.324123i
$23$	0.0857174	+	0.148467i	0.0178733	+	0.0309575i	0.874824	−	0.484441i	$-0.160977\pi$
$23$	0.0857174	+	0.148467i	0.0178733	+	0.0309575i	−0.856950	+	0.515399i	$0.827644\pi$
$24$	−2.61682	−	0.952443i	−0.534155	−	0.194417i
$25$	0.173648	−	0.984808i	0.0347296	−	0.196962i
$26$	−0.756625	+	1.31051i	−0.148386	+	0.257013i
$27$	2.44345	+	4.23218i	0.470243	+	0.814484i
$28$	3.36317	−	1.22409i	0.635580	−	0.231332i
$29$	−3.37349	+	5.84306i	−0.626441	+	1.08503i	0.361819	+	0.932248i	$0.382156\pi$
$29$	−3.37349	+	5.84306i	−0.626441	+	1.08503i	−0.988260	+	0.152780i	$0.951177\pi$
$30$	−2.13325	+	1.79001i	−0.389476	+	0.326809i
$31$	−9.78160			−1.75683			−0.878414	−	0.477901i	$-0.841398\pi$
$31$	−9.78160			−1.75683			−0.878414	+	0.477901i	$0.841398\pi$
$32$	−0.766044	+	0.642788i	−0.135419	+	0.113630i
$33$	6.18910	+	2.25265i	1.07738	+	0.392135i
$34$	−0.0195620	−	0.110941i	−0.00335485	−	0.0190263i
$35$	0.621489	−	3.52464i	0.105051	−	0.595773i
$36$	4.75488			0.792479
$37$	−4.70979	−	3.84940i	−0.774285	−	0.632837i
$37$	−4.70979	−	3.84940i	−0.774285	−	0.632837i
$38$	−6.09896			−0.989381
$39$	0.731759	−	4.15001i	0.117175	−	0.664534i
$40$	0.173648	+	0.984808i	0.0274562	+	0.155712i
$41$	11.4481	+	4.16679i	1.78790	+	0.650743i	0.999360	+	0.0357590i	$0.0113849\pi$
$41$	11.4481	+	4.16679i	1.78790	+	0.650743i	0.788540	+	0.614983i	$0.210837\pi$
$42$	−7.63493	+	6.40646i	−1.17809	+	0.988539i
$43$	−6.91749			−1.05491			−0.527454	−	0.849584i	$-0.676853\pi$
$43$	−6.91749			−1.05491			−0.527454	+	0.849584i	$0.676853\pi$
$44$	1.81179	−	1.52027i	0.273138	−	0.229190i
$45$	2.37744	−	4.11784i	0.354408	−	0.613852i
$46$	−0.161096	+	0.0586341i	−0.0237523	+	0.00864513i
$47$	−4.30903	−	7.46346i	−0.628537	−	1.08866i	−0.987845	−	0.155439i	$-0.950321\pi$
$47$	−4.30903	−	7.46346i	−0.628537	−	1.08866i	0.359308	−	0.933219i	$-0.383013\pi$
$48$	1.39238	−	2.41167i	0.200973	−	0.348095i
$49$	1.00878	−	5.72109i	0.144112	−	0.817298i
$50$	0.939693	+	0.342020i	0.132893	+	0.0483690i
$51$	0.156855	+	0.271682i	0.0219642	+	0.0380430i
$52$	−1.15922	−	0.972698i	−0.160754	−	0.134889i
$53$	−0.934497	−	0.784136i	−0.128363	−	0.107709i	0.576346	−	0.817206i	$-0.304478\pi$
$53$	−0.934497	−	0.784136i	−0.128363	−	0.107709i	−0.704709	+	0.709496i	$0.748922\pi$
$54$	−4.59219	+	1.67142i	−0.624918	+	0.227451i
$55$	−0.410700	−	2.32919i	−0.0553787	−	0.314068i
$56$	0.621489	+	3.52464i	0.0830500	+	0.471000i
$57$	15.9598	−	5.80891i	2.11393	−	0.769409i
$58$	−5.16849	−	4.33688i	−0.678656	−	0.569460i
$59$	−0.587543	−	0.493008i	−0.0764916	−	0.0641841i	0.603740	−	0.797181i	$-0.293676\pi$
$59$	−0.587543	−	0.493008i	−0.0764916	−	0.0641841i	−0.680232	+	0.732997i	$0.738121\pi$
$60$	−1.39238	−	2.41167i	−0.179755	−	0.311345i
$61$	−2.72064	−	0.990233i	−0.348343	−	0.126786i	0.161923	−	0.986803i	$-0.448231\pi$
$61$	−2.72064	−	0.990233i	−0.348343	−	0.126786i	−0.510265	+	0.860017i	$0.670453\pi$
$62$	1.69856	−	9.63300i	0.215717	−	1.22339i
$63$	8.50888	−	14.7378i	1.07202	−	1.85679i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−1.42199	+	0.517562i	−0.176376	+	0.0641957i
$66$	−3.29315	+	5.70390i	−0.405359	+	0.702102i
$67$	0.0466389	−	0.0391347i	0.00569785	−	0.00478106i	−0.639934	−	0.768430i	$-0.721038\pi$
$67$	0.0466389	−	0.0391347i	0.00569785	−	0.00478106i	0.645632	+	0.763649i	$0.276594\pi$
$68$	0.112653			0.0136612
$69$	0.365713	−	0.306870i	0.0440267	−	0.0369427i
$70$	3.36317	+	1.22409i	0.401976	+	0.146307i
$71$	−1.17210	−	6.64731i	−0.139103	−	0.788891i	−0.971914	−	0.235335i	$-0.924381\pi$
$71$	−1.17210	−	6.64731i	−0.139103	−	0.788891i	0.832812	−	0.553556i	$-0.186730\pi$
$72$	−0.825676	+	4.68264i	−0.0973068	+	0.551854i
$73$	−1.90025			−0.222407			−0.111204	−	0.993798i	$-0.535471\pi$
$73$	−1.90025			−0.222407			−0.111204	+	0.993798i	$0.535471\pi$
$74$	4.60876	−	3.96980i	0.535758	−	0.461480i
$75$	−2.78476			−0.321556
$76$	1.05907	−	6.00630i	0.121484	−	0.688970i
$77$	−1.46990	−	8.33621i	−0.167511	−	0.950000i
$78$	3.95990	+	1.44128i	0.448370	+	0.163193i
$79$	−9.61938	+	8.07161i	−1.08226	+	0.908128i	−0.996107	−	0.0881540i	$-0.971903\pi$
$79$	−9.61938	+	8.07161i	−1.08226	+	0.908128i	−0.0861574	+	0.996282i	$0.527459\pi$
$80$	−1.00000			−0.111803
$81$	−0.502359	+	0.421529i	−0.0558177	+	0.0468366i
$82$	−6.09143	+	10.5507i	−0.672686	+	1.16513i
$83$	1.48240	−	0.539550i	0.162715	−	0.0592233i	−0.259378	−	0.965776i	$-0.583518\pi$
$83$	1.48240	−	0.539550i	0.162715	−	0.0592233i	0.422093	+	0.906552i	$0.361295\pi$
$84$	−4.98334	−	8.63140i	−0.543727	−	0.941763i
$85$	0.0563264	−	0.0975602i	0.00610946	−	0.0105819i
$86$	1.20121	−	6.81240i	0.129530	−	0.734600i
$87$	17.6556	+	6.42612i	1.89288	+	0.688952i
$88$	1.18256	+	2.04826i	0.126062	+	0.218345i
$89$	12.1158	+	10.1663i	1.28427	+	1.07763i	0.992641	+	0.121098i	$0.0386416\pi$
$89$	12.1158	+	10.1663i	1.28427	+	1.07763i	0.291629	+	0.956532i	$0.405803\pi$
$90$	3.64245	+	3.05638i	0.383948	+	0.322170i
$91$	−5.08932	+	1.85236i	−0.533506	+	0.194180i
$92$	−0.0297693	−	0.168830i	−0.00310367	−	0.0176018i
$93$	4.73007	+	26.8256i	0.490485	+	2.78168i
$94$	8.09833	−	2.94755i	0.835279	−	0.304017i
$95$	−4.67207	−	3.92033i	−0.479344	−	0.402218i
$96$	2.13325	+	1.79001i	0.217724	+	0.182692i
$97$	8.37898	+	14.5128i	0.850756	+	1.47355i	0.880527	+	0.473996i	$0.157189\pi$
$97$	8.37898	+	14.5128i	0.850756	+	1.47355i	−0.0297707	+	0.999557i	$0.509478\pi$
$98$	5.45900	+	1.98691i	0.551442	+	0.200708i
$99$	1.95283	−	11.0750i	0.196266	−	1.11308i
$100$	−0.500000	+	0.866025i	−0.0500000	+	0.0866025i
$101$	−4.15881	−	7.20327i	−0.413817	−	0.716753i	0.581486	−	0.813556i	$-0.302471\pi$
$101$	−4.15881	−	7.20327i	−0.413817	−	0.716753i	−0.995303	+	0.0968037i	$0.969138\pi$
$102$	−0.294792	+	0.107295i	−0.0291887	+	0.0106238i
$103$	2.41488	−	4.18269i	0.237945	−	0.412132i	−0.722180	−	0.691706i	$-0.756860\pi$
$103$	2.41488	−	4.18269i	0.237945	−	0.412132i	0.960124	+	0.279573i	$0.0901929\pi$
$104$	1.15922	−	0.972698i	0.113671	−	0.0953809i
$105$	−9.96669			−0.972649
$106$	0.934497	−	0.784136i	0.0907664	−	0.0761620i
$107$	4.20383	+	1.53007i	0.406400	+	0.147917i	0.537128	−	0.843501i	$-0.319509\pi$
$107$	4.20383	+	1.53007i	0.406400	+	0.147917i	−0.130728	+	0.991418i	$0.541731\pi$
$108$	−0.848602	−	4.81266i	−0.0816568	−	0.463099i
$109$	1.28402	−	7.28204i	0.122987	−	0.697493i	−0.859496	−	0.511142i	$-0.829223\pi$
$109$	1.28402	−	7.28204i	0.122987	−	0.697493i	0.982483	−	0.186351i	$-0.0596661\pi$
$110$	2.36512			0.225506
$111$	−8.27928	+	14.7778i	−0.785834	+	1.40265i
$112$	−3.57901			−0.338185
$113$	2.75151	−	15.6046i	0.258840	−	1.46796i	−0.527180	−	0.849754i	$-0.676750\pi$
$113$	2.75151	−	15.6046i	0.258840	−	1.46796i	0.786020	−	0.618201i	$-0.212138\pi$
$114$	2.94926	+	16.7261i	0.276224	+	1.56654i
$115$	−0.161096	−	0.0586341i	−0.0150223	−	0.00546766i
$116$	5.16849	−	4.33688i	0.479882	−	0.402669i
$117$	−7.19532			−0.665207
$118$	0.587543	−	0.493008i	0.0540878	−	0.0453850i
$119$	0.201593	−	0.349169i	0.0184800	−	0.0320083i
$120$	2.61682	−	0.952443i	0.238882	−	0.0869458i
$121$	2.70309	+	4.68189i	0.245736	+	0.425627i
$122$	1.44762	−	2.50736i	0.131062	−	0.227005i
$123$	5.89125	−	33.4109i	0.531196	−	3.01256i
$124$	9.19170	+	3.34550i	0.825439	+	0.300435i
$125$	0.500000	+	0.866025i	0.0447214	+	0.0774597i
$126$	13.0364	+	10.9388i	1.16137	+	0.974507i
$127$	15.6972	+	13.1715i	1.39290	+	1.16878i	0.964149	+	0.265361i	$0.0854912\pi$
$127$	15.6972	+	13.1715i	1.39290	+	1.16878i	0.428752	+	0.903422i	$0.358953\pi$
$128$	0.939693	−	0.342020i	0.0830579	−	0.0302306i
$129$	3.34508	+	18.9709i	0.294518	+	1.67029i
$130$	−0.262773	−	1.49026i	−0.0230467	−	0.130704i
$131$	−9.64212	+	3.50944i	−0.842436	+	0.306622i	−0.726952	−	0.686688i	$-0.759064\pi$
$131$	−9.64212	+	3.50944i	−0.842436	+	0.306622i	−0.115483	+	0.993309i	$0.536842\pi$
$132$	−5.04540	−	4.23359i	−0.439146	−	0.368487i
$133$	−16.7214	−	14.0309i	−1.44993	−	1.21664i
$134$	0.0304414	+	0.0527260i	0.00262974	+	0.00455484i
$135$	−4.59219	−	1.67142i	−0.395233	−	0.143853i
$136$	−0.0195620	+	0.110941i	−0.00167742	+	0.00951315i
$137$	8.28859	−	14.3563i	0.708142	−	1.22654i	−0.257403	−	0.966304i	$-0.582867\pi$
$137$	8.28859	−	14.3563i	0.708142	−	1.22654i	0.965545	−	0.260234i	$-0.0837998\pi$
$138$	0.238702	+	0.413444i	0.0203197	+	0.0351947i
$139$	−4.44284	+	1.61706i	−0.376836	+	0.137157i	−0.523492	−	0.852030i	$-0.675371\pi$
$139$	−4.44284	+	1.61706i	−0.376836	+	0.137157i	0.146656	+	0.989188i	$0.453149\pi$
$140$	−1.78951	+	3.09952i	−0.151241	+	0.261957i
$141$	−18.3845	+	15.4264i	−1.54825	+	1.29914i
$142$	6.74986			0.566436
$143$	−2.74169	+	2.30055i	−0.229272	+	0.192382i
$144$	−4.46812	−	1.62626i	−0.372343	−	0.135522i
$145$	−1.17160	−	6.64448i	−0.0972962	−	0.551794i
$146$	0.329974	−	1.87138i	0.0273089	−	0.154876i
$147$	−16.1776			−1.33431
$148$	3.10919	+	5.22809i	0.255574	+	0.429747i
$149$	19.3649			1.58643			0.793216	−	0.608941i	$-0.208405\pi$
$149$	19.3649			1.58643			0.793216	+	0.608941i	$0.208405\pi$
$150$	0.483568	−	2.74245i	0.0394832	−	0.223920i
$151$	1.62800	+	9.23283i	0.132485	+	0.751357i	0.976578	+	0.215162i	$0.0690278\pi$
$151$	1.62800	+	9.23283i	0.132485	+	0.751357i	−0.844094	+	0.536195i	$0.819861\pi$
$152$	5.73114	+	2.08597i	0.464857	+	0.169194i
$153$	0.410332	−	0.344309i	0.0331734	−	0.0278358i
$154$	8.46481			0.682114
$155$	7.49314	−	6.28749i	0.601864	−	0.505024i
$156$	−2.10702	+	3.64946i	−0.168696	+	0.292191i
$157$	−22.7804	+	8.29137i	−1.81807	+	0.661724i	−0.822385	+	0.568931i	$0.807357\pi$
$157$	−22.7804	+	8.29137i	−1.81807	+	0.661724i	−0.995685	+	0.0927923i	$0.970421\pi$
$158$	−6.27860	−	10.8749i	−0.499499	−	0.865157i
$159$	−1.69856	+	2.94200i	−0.134705	+	0.233315i
$160$	0.173648	−	0.984808i	0.0137281	−	0.0778559i
$161$	−0.576565	−	0.209852i	−0.0454397	−	0.0165387i
$162$	−0.327892	−	0.567925i	−0.0257616	−	0.0446204i
$163$	−7.65190	−	6.42070i	−0.599343	−	0.502908i	0.291892	−	0.956451i	$-0.405715\pi$
$163$	−7.65190	−	6.42070i	−0.599343	−	0.502908i	−0.891234	+	0.453543i	$0.850160\pi$
$164$	−9.33262	−	7.83099i	−0.728755	−	0.611498i
$165$	−6.18910	+	2.25265i	−0.481821	+	0.175368i
$166$	0.273937	+	1.55357i	0.0212616	+	0.120581i
$167$	−0.120664	−	0.684322i	−0.00933729	−	0.0529544i	0.979783	−	0.200063i	$-0.0641146\pi$
$167$	−0.120664	−	0.684322i	−0.00933729	−	0.0529544i	−0.989120	+	0.147108i	$0.953003\pi$
$168$	9.36562	−	3.40881i	0.722573	−	0.262995i
$169$	−8.20439	−	6.88430i	−0.631107	−	0.529562i
$170$	0.0862971	+	0.0724119i	0.00661869	+	0.00555374i
$171$	−14.4999	−	25.1145i	−1.10883	−	1.92056i
$172$	6.50032	+	2.36592i	0.495645	+	0.180400i
$173$	−2.72320	+	15.4441i	−0.207041	+	1.17419i	0.687154	+	0.726512i	$0.258860\pi$
$173$	−2.72320	+	15.4441i	−0.207041	+	1.17419i	−0.894195	+	0.447678i	$0.852251\pi$
$174$	−9.39435	+	16.2715i	−0.712184	+	1.23354i
$175$	1.78951	+	3.09952i	0.135274	+	0.234301i
$176$	−2.22249	+	0.808920i	−0.167526	+	0.0609747i
$177$	−1.06793	+	1.84971i	−0.0802707	+	0.139033i
$178$	−12.1158	+	10.1663i	−0.908115	+	0.761999i
$179$	20.1110			1.50317			0.751583	−	0.659639i	$-0.229291\pi$
$179$	20.1110			1.50317			0.751583	+	0.659639i	$0.229291\pi$
$180$	−3.64245	+	3.05638i	−0.271492	+	0.227809i
$181$	−10.7325	−	3.90630i	−0.797739	−	0.290353i	−0.0891895	−	0.996015i	$-0.528428\pi$
$181$	−10.7325	−	3.90630i	−0.797739	−	0.290353i	−0.708549	+	0.705662i	$0.750650\pi$
$182$	−0.940469	−	5.33366i	−0.0697122	−	0.395357i
$183$	−1.40005	+	7.94007i	−0.103495	+	0.586947i
$184$	0.171435			0.0126383
$185$	6.08225	−	0.0785877i	0.447176	−	0.00577788i
$186$	−27.2394			−1.99729
$187$	0.0462665	−	0.262390i	0.00338334	−	0.0191879i
$188$	1.49651	+	8.48714i	0.109144	+	0.618988i
$189$	−16.4355	−	5.98203i	−1.19551	−	0.435129i
$190$	4.67207	−	3.92033i	0.338948	−	0.284411i
$191$	−6.50559			−0.470728			−0.235364	−	0.971907i	$-0.575628\pi$
$191$	−6.50559			−0.470728			−0.235364	+	0.971907i	$0.575628\pi$
$192$	−2.13325	+	1.79001i	−0.153954	+	0.129183i
$193$	−8.30280	+	14.3809i	−0.597649	+	1.03516i	0.395518	+	0.918458i	$0.370565\pi$
$193$	−8.30280	+	14.3809i	−0.597649	+	1.03516i	−0.993167	+	0.116700i	$0.962768\pi$
$194$	−15.7473	+	5.73156i	−1.13059	+	0.411502i
$195$	2.10702	+	3.64946i	0.150887	+	0.261343i
$196$	−2.90467	+	5.03104i	−0.207477	+	0.359360i
$197$	−1.59464	+	9.04363i	−0.113613	+	0.644332i	0.873814	+	0.486259i	$0.161639\pi$
$197$	−1.59464	+	9.04363i	−0.113613	+	0.644332i	−0.987428	+	0.158072i	$0.949472\pi$
$198$	10.5677	+	3.84632i	0.751011	+	0.273346i
$199$	−1.18870	−	2.05890i	−0.0842650	−	0.145951i	0.820813	−	0.571197i	$-0.193521\pi$
$199$	−1.18870	−	2.05890i	−0.0842650	−	0.145951i	−0.905078	+	0.425246i	$0.860188\pi$
$200$	−0.766044	−	0.642788i	−0.0541675	−	0.0454519i
$201$	−0.129878	−	0.108981i	−0.00916089	−	0.00768690i
$202$	7.81601	−	2.84480i	0.549933	−	0.200159i
$203$	−4.19318	−	23.7807i	−0.294303	−	1.66908i
$204$	−0.0544753	−	0.308945i	−0.00381404	−	0.0216305i
$205$	−11.4481	+	4.16679i	−0.799573	+	0.291021i
$206$	3.69980	+	3.10450i	0.257778	+	0.216301i
$207$	−0.624442	−	0.523969i	−0.0434017	−	0.0364184i
$208$	0.756625	+	1.31051i	0.0524625	+	0.0908677i
$209$	−13.5549	−	4.93357i	−0.937610	−	0.341262i
$210$	1.73070	−	9.81527i	0.119429	−	0.677318i
$211$	9.19843	−	15.9321i	0.633246	−	1.09681i	−0.353638	−	0.935382i	$-0.615055\pi$
$211$	9.19843	−	15.9321i	0.633246	−	1.09681i	0.986884	−	0.161432i	$-0.0516112\pi$
$212$	0.609950	+	1.05646i	0.0418915	+	0.0725582i
$213$	−17.6631	+	6.42886i	−1.21026	+	0.440498i
$214$	−2.23681	+	3.87427i	−0.152905	+	0.264840i
$215$	5.29911	−	4.44648i	0.361396	−	0.303247i
$216$	4.88690			0.332512
$217$	26.8181	−	22.5030i	1.82053	−	1.52760i
$218$	6.94844	+	2.52902i	0.470608	+	0.171287i
$219$	0.918899	+	5.21134i	0.0620934	+	0.352149i
$220$	−0.410700	+	2.32919i	−0.0276894	+	0.157034i
$221$	−0.170472			−0.0114672
$222$	−13.1156	−	10.7196i	−0.880264	−	0.719455i
$223$	−5.26544			−0.352600			−0.176300	−	0.984337i	$-0.556413\pi$
$223$	−5.26544			−0.352600			−0.176300	+	0.984337i	$0.556413\pi$
$224$	0.621489	−	3.52464i	0.0415250	−	0.235500i
$225$	0.825676	+	4.68264i	0.0550450	+	0.312176i
$226$	14.8897	+	5.41941i	0.990449	+	0.360494i
$227$	−8.24715	+	6.92018i	−0.547383	+	0.459309i	−0.874054	−	0.485829i	$-0.838518\pi$
$227$	−8.24715	+	6.92018i	−0.547383	+	0.459309i	0.326671	+	0.945138i	$0.394073\pi$
$228$	−16.9841			−1.12480
$229$	16.7915	−	14.0898i	1.10962	−	0.931079i	0.111583	−	0.993755i	$-0.464408\pi$
$229$	16.7915	−	14.0898i	1.10962	−	0.931079i	0.998034	+	0.0626764i	$0.0199636\pi$
$230$	0.0857174	−	0.148467i	0.00565204	−	0.00978961i
$231$	−22.1509	+	8.06226i	−1.45742	+	0.530457i
$232$	3.37349	+	5.84306i	0.221480	+	0.383615i
$233$	−2.26640	+	3.92552i	−0.148477	+	0.257169i	−0.930665	−	0.365873i	$-0.880770\pi$
$233$	−2.26640	+	3.92552i	−0.148477	+	0.257169i	0.782188	+	0.623043i	$0.214104\pi$
$234$	1.24945	−	7.08600i	0.0816793	−	0.463226i
$235$	8.09833	+	2.94755i	0.528277	+	0.192277i
$236$	0.383492	+	0.664227i	0.0249632	+	0.0432375i
$237$	26.7876	+	22.4775i	1.74004	+	1.46007i
$238$	0.308859	+	0.259163i	0.0200203	+	0.0167990i
$239$	17.7116	−	6.44651i	1.14567	−	0.416990i	0.301712	−	0.953399i	$-0.402442\pi$
$239$	17.7116	−	6.44651i	1.14567	−	0.416990i	0.843958	+	0.536409i	$0.180220\pi$
$240$	0.483568	+	2.74245i	0.0312142	+	0.177024i
$241$	4.40202	+	24.9651i	0.283559	+	1.60814i	0.710388	+	0.703810i	$0.248519\pi$
$241$	4.40202	+	24.9651i	0.283559	+	1.60814i	−0.426829	+	0.904332i	$0.640369\pi$
$242$	−5.08015	+	1.84902i	−0.326565	+	0.118860i
$243$	12.6297	+	10.5976i	0.810196	+	0.679835i
$244$	2.21789	+	1.86103i	0.141986	+	0.119140i
$245$	2.90467	+	5.03104i	0.185573	+	0.321421i
$246$	31.8803	+	11.6035i	2.03261	+	0.739811i
$247$	−1.60264	+	9.08903i	−0.101974	+	0.578321i
$248$	−4.89080	+	8.47112i	−0.310566	+	0.537916i
$249$	−2.19653	−	3.80451i	−0.139200	−	0.241101i
$250$	−0.939693	+	0.342020i	−0.0594314	+	0.0216313i
$251$	−5.62896	+	9.74965i	−0.355297	+	0.615393i	−0.987169	−	0.159680i	$-0.948954\pi$
$251$	−5.62896	+	9.74965i	−0.355297	+	0.615393i	0.631872	+	0.775073i	$0.282287\pi$
$252$	−13.0364	+	10.9388i	−0.821214	+	0.689080i
$253$	−0.405465			−0.0254913
$254$	−15.6972	+	13.1715i	−0.984930	+	0.826455i
$255$	−0.294792	−	0.107295i	−0.0184606	−	0.00671910i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	−1.48951	+	8.44742i	−0.0929129	+	0.526935i	0.902454	+	0.430786i	$0.141764\pi$
$257$	−1.48951	+	8.44742i	−0.0929129	+	0.526935i	−0.995367	+	0.0961491i	$0.969347\pi$
$258$	−19.2635			−1.19930
$259$	21.7685	−	0.281266i	1.35263	−	0.0174770i
$260$	1.51325			0.0938478
$261$	5.57082	−	31.5937i	0.344825	−	1.95560i
$262$	−1.78179	−	10.1050i	−0.110079	−	0.624291i
$263$	14.3053	+	5.20669i	0.882100	+	0.321058i	0.743057	−	0.669228i	$-0.233375\pi$
$263$	14.3053	+	5.20669i	0.882100	+	0.321058i	0.139043	+	0.990286i	$0.455597\pi$
$264$	5.04540	−	4.23359i	0.310523	−	0.260560i
$265$	1.21990			0.0749378
$266$	16.7214	−	14.0309i	1.02526	−	0.860291i
$267$	22.0219	−	38.1430i	1.34772	−	2.33432i
$268$	−0.0572111	+	0.0208231i	−0.00349472	+	0.00127198i
$269$	−6.14319	−	10.6403i	−0.374557	−	0.648752i	0.615703	−	0.787978i	$-0.288872\pi$
$269$	−6.14319	−	10.6403i	−0.374557	−	0.648752i	−0.990261	+	0.139226i	$0.955539\pi$
$270$	2.44345	−	4.23218i	0.148704	−	0.257562i
$271$	0.186840	−	1.05962i	0.0113497	−	0.0643674i	−0.978607	−	0.205739i	$-0.934040\pi$
$271$	0.186840	−	1.05962i	0.0113497	−	0.0643674i	0.989957	+	0.141372i	$0.0451513\pi$
$272$	−0.105859	−	0.0385295i	−0.00641865	−	0.00233620i
$273$	7.54104	+	13.0615i	0.456405	+	0.790516i
$274$	12.6989	+	10.6556i	0.767166	+	0.643729i
$275$	1.81179	+	1.52027i	0.109255	+	0.0916759i
$276$	−0.448613	+	0.163282i	−0.0270033	+	0.00982841i
$277$	1.76076	+	9.98575i	0.105794	+	0.599985i	0.990900	+	0.134597i	$0.0429741\pi$
$277$	1.76076	+	9.98575i	0.105794	+	0.599985i	−0.885107	+	0.465388i	$0.845915\pi$
$278$	−0.821003	−	4.65614i	−0.0492405	−	0.279257i
$279$	43.7054	−	15.9075i	2.61657	−	0.952355i
$280$	−2.74168	−	2.30055i	−0.163847	−	0.137484i
$281$	−12.4010	−	10.4056i	−0.739780	−	0.620749i	0.192999	−	0.981199i	$-0.438179\pi$
$281$	−12.4010	−	10.4056i	−0.739780	−	0.620749i	−0.932779	+	0.360450i	$0.882623\pi$
$282$	−11.9996	−	20.7839i	−0.714567	−	1.23767i
$283$	3.48054	+	1.26681i	0.206897	+	0.0753043i	0.443390	−	0.896329i	$-0.353776\pi$
$283$	3.48054	+	1.26681i	0.206897	+	0.0753043i	−0.236493	+	0.971633i	$0.575998\pi$
$284$	−1.17210	+	6.64731i	−0.0695514	+	0.394446i
$285$	−8.49206	+	14.7087i	−0.503026	+	0.871267i
$286$	−1.78951	−	3.09953i	−0.105816	−	0.183279i
$287$	−40.9731	+	14.9130i	−2.41856	+	0.880286i
$288$	2.37744	−	4.11784i	0.140092	−	0.242646i
$289$	−13.0130	+	10.9192i	−0.765473	+	0.642308i
$290$	6.74698			0.396196
$291$	35.7489	−	29.9969i	2.09564	−	1.75845i
$292$	1.78565	+	0.649923i	0.104497	+	0.0380339i
$293$	5.10322	+	28.9418i	0.298133	+	1.69080i	0.654188	+	0.756332i	$0.273011\pi$
$293$	5.10322	+	28.9418i	0.298133	+	1.69080i	−0.356055	+	0.934465i	$0.615878\pi$
$294$	2.80921	−	15.9318i	0.163837	−	0.929164i
$295$	0.766984			0.0446555
$296$	−5.68857	+	2.15410i	−0.330641	+	0.125205i
$297$	−11.5581			−0.670671
$298$	−3.36267	+	19.0707i	−0.194794	+	1.10473i
$299$	0.0450484	+	0.255482i	0.00260522	+	0.0147749i
$300$	2.61682	+	0.952443i	0.151082	+	0.0549893i
$301$	18.9656	−	15.9140i	1.09316	−	0.917269i
$302$	−9.37526			−0.539486
$303$	−17.7436	+	14.8886i	−1.01934	+	0.855328i
$304$	−3.04948	+	5.28185i	−0.174900	+	0.302935i
$305$	2.72064	−	0.990233i	0.155784	−	0.0567006i
$306$	0.267825	+	0.463887i	0.0153105	+	0.0265186i
$307$	−11.5004	+	19.9193i	−0.656362	+	1.13685i	0.325189	+	0.945649i	$0.394572\pi$
$307$	−11.5004	+	19.9193i	−0.656362	+	1.13685i	−0.981551	+	0.191203i	$0.938761\pi$
$308$	−1.46990	+	8.33621i	−0.0837553	+	0.475000i
$309$	−12.6386	−	4.60006i	−0.718983	−	0.261689i
$310$	4.89080	+	8.47112i	0.277779	+	0.481127i
$311$	19.0538	+	15.9880i	1.08044	+	0.906598i	0.995957	−	0.0898265i	$-0.0286313\pi$
$311$	19.0538	+	15.9880i	1.08044	+	0.906598i	0.0844844	+	0.996425i	$0.473076\pi$
$312$	−3.22814	−	2.70873i	−0.182757	−	0.153352i
$313$	18.3524	−	6.67973i	1.03734	−	0.377561i	0.233469	−	0.972364i	$-0.424992\pi$
$313$	18.3524	−	6.67973i	1.03734	−	0.377561i	0.803871	+	0.594804i	$0.202770\pi$
$314$	−4.20964	−	23.8741i	−0.237564	−	1.34729i
$315$	2.95510	+	16.7592i	0.166501	+	0.944276i
$316$	11.7999	−	4.29482i	0.663797	−	0.241602i
$317$	−17.6130	−	14.7790i	−0.989243	−	0.830073i	−0.00378498	−	0.999993i	$-0.501205\pi$
$317$	−17.6130	−	14.7790i	−0.989243	−	0.830073i	−0.985458	+	0.169919i	$0.945649\pi$
$318$	−2.60235	−	2.18363i	−0.145932	−	0.122452i
$319$	−7.97872	−	13.8196i	−0.446723	−	0.773747i
$320$	0.939693	+	0.342020i	0.0525304	+	0.0191195i
$321$	2.16330	−	12.2687i	0.120744	−	0.684772i
$322$	0.306784	−	0.531365i	0.0170964	−	0.0296118i
$323$	−0.343532	−	0.595016i	−0.0191147	−	0.0331076i
$324$	0.616235	−	0.224291i	0.0342353	−	0.0124606i
$325$	0.756625	−	1.31051i	0.0419700	−	0.0726942i
$326$	7.65190	−	6.42070i	0.423799	−	0.355610i
$327$	−20.5915			−1.13871
$328$	9.33262	−	7.83099i	0.515308	−	0.432394i
$329$	28.9840	+	10.5493i	1.59794	+	0.581603i
$330$	−1.14370	−	6.48624i	−0.0629585	−	0.357056i
$331$	−3.34043	+	18.9445i	−0.183606	+	1.04128i	0.744126	+	0.668039i	$0.232866\pi$
$331$	−3.34043	+	18.9445i	−0.183606	+	1.04128i	−0.927733	+	0.373245i	$0.878245\pi$
$332$	−1.57754			−0.0865787
$333$	27.3041	+	9.54021i	1.49625	+	0.522800i
$334$	0.694879			0.0380221
$335$	−0.0105722	+	0.0599578i	−0.000577620	+	0.00327585i
$336$	1.73070	+	9.81527i	0.0944173	+	0.535467i
$337$	−0.667007	−	0.242771i	−0.0363342	−	0.0132246i	0.323789	−	0.946129i	$-0.395043\pi$
$337$	−0.667007	−	0.242771i	−0.0363342	−	0.0132246i	−0.360123	+	0.932905i	$0.617265\pi$
$338$	8.20439	−	6.88430i	0.446260	−	0.374457i
$339$	−44.1253			−2.39656
$340$	−0.0862971	+	0.0724119i	−0.00468012	+	0.00392708i
$341$	11.5674	−	20.0352i	0.626407	−	1.08497i
$342$	27.2509	−	9.91851i	1.47356	−	0.536332i
$343$	−2.13069	−	3.69046i	−0.115046	−	0.199266i
$344$	−3.45875	+	5.99073i	−0.186483	+	0.322998i
$345$	−0.0829004	+	0.470151i	−0.00446321	+	0.0253121i
$346$	−14.7365	−	5.36366i	−0.792242	−	0.288352i
$347$	−8.06873	−	13.9755i	−0.433152	−	0.750242i	0.563991	−	0.825781i	$-0.309265\pi$
$347$	−8.06873	−	13.9755i	−0.433152	−	0.750242i	−0.997143	+	0.0755395i	$0.975932\pi$
$348$	−14.3930	−	12.0771i	−0.771545	−	0.647403i
$349$	−12.2171	−	10.2514i	−0.653968	−	0.548744i	0.254304	−	0.967124i	$-0.418154\pi$
$349$	−12.2171	−	10.2514i	−0.653968	−	0.548744i	−0.908272	+	0.418380i	$0.862598\pi$
$350$	−3.36317	+	1.22409i	−0.179769	+	0.0654306i
$351$	1.28415	+	7.28276i	0.0685427	+	0.388725i
$352$	−0.410700	−	2.32919i	−0.0218904	−	0.124146i
$353$	−4.63616	+	1.68742i	−0.246758	+	0.0898125i	−0.462438	−	0.886652i	$-0.653025\pi$
$353$	−4.63616	+	1.68742i	−0.246758	+	0.0898125i	0.215680	+	0.976464i	$0.430803\pi$
$354$	−1.63617	−	1.37291i	−0.0869613	−	0.0729692i
$355$	5.17069	+	4.33873i	0.274432	+	0.230276i
$356$	−7.90801	−	13.6971i	−0.419124	−	0.725943i
$357$	−1.05506	−	0.384012i	−0.0558399	−	0.0203241i
$358$	−3.49223	+	19.8054i	−0.184570	+	1.04675i
$359$	13.2500	−	22.9496i	0.699306	−	1.21123i	−0.269401	−	0.963028i	$-0.586826\pi$
$359$	13.2500	−	22.9496i	0.699306	−	1.21123i	0.968707	−	0.248206i	$-0.0798408\pi$
$360$	−2.37744	−	4.11784i	−0.125302	−	0.217029i
$361$	−17.0998	+	6.22383i	−0.899992	+	0.327570i
$362$	5.71063	−	9.89110i	0.300144	−	0.519865i
$363$	11.5327	−	9.67711i	0.605312	−	0.507917i
$364$	5.41594			0.283873
$365$	1.45567	−	1.22146i	0.0761935	−	0.0639339i
$366$	−7.57633	−	2.75756i	−0.396021	−	0.144140i
$367$	1.33798	+	7.58806i	0.0698420	+	0.396094i	0.999609	+	0.0279461i	$0.00889669\pi$
$367$	1.33798	+	7.58806i	0.0698420	+	0.396094i	−0.929767	+	0.368147i	$0.879992\pi$
$368$	−0.0297693	+	0.168830i	−0.00155183	+	0.00880089i
$369$	−57.9280			−3.01561
$370$	−0.978779	+	6.00350i	−0.0508843	+	0.312107i
$371$	4.36604			0.226673
$372$	4.73007	−	26.8256i	0.245243	−	1.39084i
$373$	−3.91552	−	22.2060i	−0.202738	−	1.14978i	−0.900960	−	0.433902i	$-0.857136\pi$
$373$	−3.91552	−	22.2060i	−0.202738	−	1.14978i	0.698222	−	0.715881i	$-0.253975\pi$
$374$	0.250370	+	0.0911272i	0.0129463	+	0.00471207i
$375$	2.13325	−	1.79001i	0.110160	−	0.0924356i
$376$	−8.61807			−0.444443
$377$	−7.82121	+	6.56278i	−0.402813	+	0.338000i
$378$	8.74515	−	15.1470i	0.449802	−	0.779080i
$379$	16.4822	−	5.99903i	0.846634	−	0.308150i	0.117967	−	0.993018i	$-0.462362\pi$
$379$	16.4822	−	5.99903i	0.846634	−	0.308150i	0.728667	+	0.684868i	$0.240140\pi$
$380$	3.04948	+	5.28185i	0.156435	+	0.270953i
$381$	28.5316	−	49.4181i	1.46172	−	2.53177i
$382$	1.12968	−	6.40675i	0.0577996	−	0.327798i
$383$	−17.7633	−	6.46531i	−0.907661	−	0.330362i	−0.154343	−	0.988017i	$-0.549326\pi$
$383$	−17.7633	−	6.46531i	−0.907661	−	0.330362i	−0.753319	+	0.657656i	$0.771548\pi$
$384$	−1.39238	−	2.41167i	−0.0710545	−	0.123070i
$385$	6.48442	+	5.44108i	0.330477	+	0.277303i
$386$	−12.7206	−	10.6739i	−0.647463	−	0.543286i
$387$	30.9082	−	11.2497i	1.57115	−	0.571853i
$388$	−2.90999	−	16.5034i	−0.147732	−	0.837831i
$389$	3.01568	+	17.1028i	0.152901	+	0.867145i	0.960680	+	0.277659i	$0.0895585\pi$
$389$	3.01568	+	17.1028i	0.152901	+	0.867145i	−0.807779	+	0.589486i	$0.799330\pi$
$390$	−3.95990	+	1.44128i	−0.200517	+	0.0729823i
$391$	−0.0147943	−	0.0124139i	−0.000748181	−	0.000627798i
$392$	−4.45021	−	3.73417i	−0.224770	−	0.188604i
$393$	14.2871	+	24.7460i	0.720689	+	1.24827i
$394$	−8.62933	−	3.14082i	−0.434739	−	0.158232i
$395$	2.18054	−	12.3664i	0.109715	−	0.622223i
$396$	−5.62294	+	9.73921i	−0.282563	+	0.489414i
$397$	−1.06828	−	1.85032i	−0.0536157	−	0.0928650i	0.837972	−	0.545713i	$-0.183741\pi$
$397$	−1.06828	−	1.85032i	−0.0536157	−	0.0928650i	−0.891588	+	0.452848i	$0.850408\pi$
$398$	2.23403	−	0.813122i	0.111982	−	0.0407581i
$399$	−30.3932	+	52.6426i	−1.52156	+	2.63542i
$400$	0.766044	−	0.642788i	0.0383022	−	0.0321394i
$401$	37.3981			1.86757			0.933785	−	0.357835i	$-0.116485\pi$
$401$	37.3981			1.86757			0.933785	+	0.357835i	$0.116485\pi$
$402$	0.129878	−	0.108981i	0.00647773	−	0.00543546i
$403$	−13.9093	−	5.06258i	−0.692873	−	0.252185i
$404$	1.44434	+	8.19126i	0.0718586	+	0.407530i
$405$	0.113876	−	0.645821i	0.00565852	−	0.0320911i
$406$	24.1475			1.19842
$407$	13.4542	−	5.09472i	0.666899	−	0.252536i
$408$	0.313711			0.0155310
$409$	6.64741	−	37.6993i	0.328693	−	1.86411i	−0.153645	−	0.988126i	$-0.549101\pi$
$409$	6.64741	−	37.6993i	0.328693	−	1.86411i	0.482338	−	0.875985i	$-0.339788\pi$
$410$	−2.11553	−	11.9978i	−0.104479	−	0.592528i
$411$	−43.3794	−	15.7888i	−2.13975	−	0.778805i
$412$	−3.69980	+	3.10450i	−0.182276	+	0.152948i
$413$	2.74504			0.135075
$414$	0.624442	−	0.523969i	0.0306896	−	0.0257517i
$415$	−0.788770	+	1.36619i	−0.0387192	+	0.0670636i
$416$	−1.42199	+	0.517562i	−0.0697188	+	0.0253756i
$417$	6.58312	+	11.4023i	0.322377	+	0.558373i
$418$	7.21240	−	12.4922i	0.352770	−	0.611015i
$419$	−5.33161	+	30.2371i	−0.260466	+	1.47718i	0.521175	+	0.853450i	$0.325494\pi$
$419$	−5.33161	+	30.2371i	−0.260466	+	1.47718i	−0.781642	+	0.623728i	$0.785617\pi$
$420$	9.36562	+	3.40881i	0.456996	+	0.166333i
$421$	−8.75076	−	15.1568i	−0.426486	−	0.738695i	0.570072	−	0.821595i	$-0.306915\pi$
$421$	−8.75076	−	15.1568i	−0.426486	−	0.738695i	−0.996558	+	0.0828994i	$0.973582\pi$
$422$	14.0928	+	11.8253i	0.686027	+	0.575645i
$423$	31.3908	+	26.3400i	1.52627	+	1.28070i
$424$	−1.14633	+	0.417230i	−0.0556707	+	0.0202625i
$425$	0.0195620	+	0.110941i	0.000948895	+	0.00538145i
$426$	−3.26402	−	18.5112i	−0.158142	−	0.896869i
$427$	9.73722	−	3.54406i	0.471217	−	0.171509i
$428$	−3.42699	−	2.87559i	−0.165650	−	0.138997i
$429$	7.63495	+	6.40648i	0.368619	+	0.309308i
$430$	3.45875	+	5.99073i	0.166796	+	0.288898i
$431$	15.1315	+	5.50743i	0.728861	+	0.265284i	0.679683	−	0.733506i	$-0.262118\pi$
$431$	15.1315	+	5.50743i	0.728861	+	0.265284i	0.0491783	+	0.998790i	$0.484340\pi$
$432$	−0.848602	+	4.81266i	−0.0408284	+	0.231549i
$433$	−0.776035	+	1.34413i	−0.0372938	+	0.0645948i	−0.884070	−	0.467355i	$-0.845207\pi$
$433$	−0.776035	+	1.34413i	−0.0372938	+	0.0645948i	0.846776	+	0.531950i	$0.178540\pi$
$434$	17.5042	+	30.3182i	0.840231	+	1.45532i
$435$	−17.6556	+	6.42612i	−0.846522	+	0.308109i
$436$	−3.69719	+	6.40372i	−0.177063	+	0.306682i
$437$	−0.800955	+	0.672081i	−0.0383149	+	0.0321500i
$438$	−5.29173			−0.252849
$439$	−17.8809	+	15.0039i	−0.853409	+	0.716095i	−0.960538	−	0.278150i	$-0.910279\pi$
$439$	−17.8809	+	15.0039i	−0.853409	+	0.716095i	0.107128	+	0.994245i	$0.465834\pi$
$440$	−2.22249	−	0.808920i	−0.105953	−	0.0385638i
$441$	4.79663	+	27.2031i	0.228411	+	1.29538i
$442$	0.0296021	−	0.167882i	0.00140803	−	0.00798534i
$443$	−37.4466			−1.77914			−0.889571	−	0.456797i	$-0.848996\pi$
$443$	−37.4466			−1.77914			−0.889571	+	0.456797i	$0.848996\pi$
$444$	12.8343	−	11.0549i	0.609088	−	0.524644i
$445$	−15.8160			−0.749751
$446$	0.914334	−	5.18544i	0.0432949	−	0.245538i
$447$	−9.36423	−	53.1072i	−0.442913	−	2.51188i
$448$	3.36317	+	1.22409i	0.158895	+	0.0578331i
$449$	8.65329	−	7.26097i	0.408374	−	0.342666i	−0.415346	−	0.909664i	$-0.636339\pi$
$449$	8.65329	−	7.26097i	0.408374	−	0.342666i	0.823720	+	0.566997i	$0.191895\pi$
$450$	−4.75488			−0.224147
$451$	−22.0728	+	18.5213i	−1.03937	+	0.872133i
$452$	−7.92265	+	13.7224i	−0.372650	+	0.645449i
$453$	24.5333	−	8.92940i	1.15268	−	0.419540i
$454$	−5.38295	−	9.32354i	−0.252634	−	0.437575i
$455$	2.70797	−	4.69034i	0.126952	−	0.219887i
$456$	2.94926	−	16.7261i	0.138112	−	0.783271i
$457$	12.8158	+	4.66457i	0.599498	+	0.218200i	0.623902	−	0.781503i	$-0.285546\pi$
$457$	12.8158	+	4.66457i	0.599498	+	0.218200i	−0.0244036	+	0.999702i	$0.507769\pi$
$458$	10.9599	+	18.9831i	0.512123	+	0.887022i
$459$	−0.421726	−	0.353870i	−0.0196845	−	0.0165172i
$460$	0.131327	+	0.110196i	0.00612314	+	0.00513792i
$461$	0.651867	−	0.237260i	0.0303605	−	0.0110503i	−0.326795	−	0.945095i	$-0.605969\pi$
$461$	0.651867	−	0.237260i	0.0303605	−	0.0110503i	0.357156	+	0.934045i	$0.383747\pi$
$462$	−4.09331	−	23.2143i	−0.190438	−	1.08003i
$463$	5.15338	+	29.2263i	0.239498	+	1.35826i	0.832931	+	0.553377i	$0.186661\pi$
$463$	5.15338	+	29.2263i	0.239498	+	1.35826i	−0.593433	+	0.804884i	$0.702228\pi$
$464$	−6.34009	+	2.30760i	−0.294331	+	0.107128i
$465$	−20.8666	−	17.5091i	−0.967665	−	0.811967i
$466$	−3.47233	−	2.91363i	−0.160852	−	0.134971i
$467$	−10.9107	−	18.8979i	−0.504887	−	0.874489i	−0.999984	−	0.00565181i	$-0.998201\pi$
$467$	−10.9107	−	18.8979i	−0.504887	−	0.874489i	0.495097	−	0.868837i	$-0.335132\pi$
$468$	6.76138	+	2.46094i	0.312545	+	0.113757i
$469$	−0.0378380	+	0.214590i	−0.00174720	+	0.00990884i
$470$	−4.30903	+	7.46346i	−0.198761	+	0.344264i
$471$	33.7545	+	58.4646i	1.55533	+	2.69391i
$472$	−0.720729	+	0.262324i	−0.0331742	+	0.0120744i
$473$	8.18037	−	14.1688i	0.376134	−	0.651483i
$474$	−26.7876	+	22.4775i	−1.23040	+	1.03243i
$475$	6.09896			0.279839
$476$	−0.308859	+	0.259163i	−0.0141565	+	0.0118787i
$477$	5.45066	+	1.98388i	0.249568	+	0.0908355i
$478$	3.27298	+	18.5620i	0.149702	+	0.849005i
$479$	−1.18395	+	6.71451i	−0.0540960	+	0.306794i	−0.999836	−	0.0181318i	$-0.994228\pi$
$479$	−1.18395	+	6.71451i	−0.0540960	+	0.306794i	0.945740	+	0.324926i	$0.105339\pi$
$480$	−2.78476			−0.127106
$481$	−4.70498	−	7.91141i	−0.214528	−	0.360729i
$482$	−25.3502			−1.15467
$483$	−0.296702	+	1.68268i	−0.0135004	+	0.0765645i
$484$	−0.938774	−	5.32405i	−0.0426716	−	0.242002i
$485$	−15.7473	−	5.73156i	−0.715049	−	0.260257i
$486$	−12.6297	+	10.5976i	−0.572895	+	0.480716i
$487$	1.23013			0.0557427			0.0278714	−	0.999612i	$-0.491127\pi$
$487$	1.23013			0.0557427			0.0278714	+	0.999612i	$0.491127\pi$
$488$	−2.21789	+	1.86103i	−0.100399	+	0.0842448i
$489$	−13.9083	+	24.0898i	−0.628953	+	1.08938i
$490$	−5.45900	+	1.98691i	−0.246612	+	0.0897595i
$491$	1.97722	+	3.42464i	0.0892307	+	0.154552i	0.907186	−	0.420729i	$-0.138226\pi$
$491$	1.97722	+	3.42464i	0.0892307	+	0.154552i	−0.817955	+	0.575282i	$0.804893\pi$
$492$	−16.9632	+	29.3811i	−0.764759	+	1.32460i
$493$	0.131984	−	0.748520i	0.00594427	−	0.0337116i
$494$	−8.67265	−	3.15659i	−0.390201	−	0.142022i
$495$	5.62294	+	9.73921i	0.252732	+	0.437745i
$496$	−7.49314	−	6.28749i	−0.336452	−	0.282317i
$497$	18.5060	+	15.5284i	0.830107	+	0.696542i
$498$	4.12813	−	1.50252i	0.184986	−	0.0673294i
$499$	1.33803	+	7.58834i	0.0598984	+	0.339701i	0.999999	−	0.00119565i	$-0.000380587\pi$
$499$	1.33803	+	7.58834i	0.0598984	+	0.339701i	−0.940101	+	0.340896i	$0.889269\pi$
$500$	−0.173648	−	0.984808i	−0.00776578	−	0.0440419i
$501$	−1.81837	+	0.661832i	−0.0812388	+	0.0295685i
$502$	−8.62407	−	7.23646i	−0.384911	−	0.322979i
$503$	10.3600	+	8.69311i	0.461932	+	0.387607i	0.843841	−	0.536593i	$-0.180289\pi$
$503$	10.3600	+	8.69311i	0.461932	+	0.387607i	−0.381909	+	0.924200i	$0.624733\pi$
$504$	−8.50888	−	14.7378i	−0.379016	−	0.656475i
$505$	7.81601	+	2.84480i	0.347808	+	0.126592i
$506$	0.0704082	−	0.399305i	0.00313003	−	0.0177513i
$507$	−14.9125	+	25.8292i	−0.662287	+	1.14711i
$508$	−10.2456	−	17.7459i	−0.454576	−	0.787349i
$509$	−3.16579	+	1.15225i	−0.140321	+	0.0510728i	−0.411226	−	0.911533i	$-0.634899\pi$
$509$	−3.16579	+	1.15225i	−0.140321	+	0.0510728i	0.270905	+	0.962606i	$0.412677\pi$
$510$	0.156855	−	0.271682i	0.00694568	−	0.0120303i
$511$	5.20988	−	4.37161i	0.230471	−	0.193388i
$512$	−1.00000			−0.0441942
$513$	−22.8320	+	19.1583i	−1.00806	+	0.845859i
$514$	−8.06043	−	2.93376i	−0.355530	−	0.129402i
$515$	0.838678	+	4.75638i	0.0369565	+	0.209591i
$516$	3.34508	−	18.9709i	0.147259	−	0.835147i
$517$	20.3828			0.896435
$518$	−3.50306	+	21.4866i	−0.153916	+	0.944067i
$519$	43.6714			1.91696
$520$	−0.262773	+	1.49026i	−0.0115234	+	0.0653522i
$521$	−0.0935854	−	0.530749i	−0.00410005	−	0.0232525i	0.982689	−	0.185262i	$-0.0593135\pi$
$521$	−0.0935854	−	0.530749i	−0.00410005	−	0.0232525i	−0.986789	+	0.162010i	$0.948202\pi$
$522$	30.1463	+	10.9724i	1.31947	+	0.480247i
$523$	15.0930	−	12.6645i	0.659971	−	0.553782i	−0.250107	−	0.968218i	$-0.580466\pi$
$523$	15.0930	−	12.6645i	0.659971	−	0.553782i	0.910078	+	0.414436i	$0.136021\pi$
$524$	10.2609			0.448251
$525$	7.63493	−	6.40646i	0.333215	−	0.279601i
$526$	−7.61167	+	13.1838i	−0.331885	+	0.574841i
$527$	1.03547	−	0.376881i	0.0451058	−	0.0164172i
$528$	3.29315	+	5.70390i	0.143316	+	0.248230i
$529$	11.4853	−	19.8931i	0.499361	−	0.864919i
$530$	−0.211833	+	1.20137i	−0.00920145	+	0.0521840i
$531$	3.42698	+	1.24732i	0.148718	+	0.0541290i
$532$	10.9141	+	18.9038i	0.473187	+	0.819585i
$533$	14.1226	+	11.8503i	0.611717	+	0.513291i
$534$	33.7395	+	28.3108i	1.46005	+	1.22513i
$535$	−4.20383	+	1.53007i	−0.181747	+	0.0661507i
$536$	−0.0105722	−	0.0599578i	−0.000456649	−	0.00258978i
$537$	−9.72503	−	55.1534i	−0.419666	−	2.38004i
$538$	11.5454	−	4.20219i	0.497759	−	0.181169i
$539$	10.5253	+	8.83179i	0.453357	+	0.380412i
$540$	3.74359	+	3.14124i	0.161098	+	0.135178i
$541$	0.709468	+	1.22883i	0.0305024	+	0.0528317i	0.880874	−	0.473352i	$-0.156956\pi$
$541$	0.709468	+	1.22883i	0.0305024	+	0.0528317i	−0.850371	+	0.526183i	$0.823623\pi$
$542$	1.01108	+	0.368002i	0.0434295	+	0.0158071i
$543$	−5.52296	+	31.3223i	−0.237013	+	1.34417i
$544$	0.0563264	−	0.0975602i	0.00241498	−	0.00418286i
$545$	3.69719	+	6.40372i	0.158370	+	0.274305i
$546$	−14.1725	+	5.15838i	−0.606528	+	0.220758i
$547$	0.259706	−	0.449824i	0.0111042	−	0.0192331i	−0.860420	−	0.509586i	$-0.829799\pi$
$547$	0.259706	−	0.449824i	0.0111042	−	0.0192331i	0.871524	+	0.490353i	$0.163132\pi$
$548$	−12.6989	+	10.6556i	−0.542468	+	0.455185i
$549$	13.7665			0.587542
$550$	−1.81179	+	1.52027i	−0.0772550	+	0.0648246i
$551$	−38.6679	−	14.0740i	−1.64731	−	0.599571i
$552$	−0.0829004	−	0.470151i	−0.00352847	−	0.0200110i
$553$	7.80417	−	44.2596i	0.331867	−	1.88211i
$554$	−10.1398			−0.430799
$555$	−3.15671	−	16.6423i	−0.133995	−	0.706426i
$556$	4.72797			0.200510
$557$	−1.16369	+	6.59960i	−0.0493070	+	0.279634i	−0.999486	−	0.0320722i	$-0.989789\pi$
$557$	−1.16369	+	6.59960i	−0.0493070	+	0.279634i	0.950179	+	0.311706i	$0.100900\pi$
$558$	8.07643	+	45.8037i	0.341902	+	1.93903i
$559$	−9.83661	−	3.58023i	−0.416044	−	0.151428i
$560$	2.74168	−	2.30055i	0.115857	−	0.0972158i
$561$	−0.741965			−0.0313258
$562$	12.4010	−	10.4056i	0.523103	−	0.438936i
$563$	−3.56004	+	6.16618i	−0.150038	+	0.259873i	−0.931241	−	0.364403i	$-0.881273\pi$
$563$	−3.56004	+	6.16618i	−0.150038	+	0.259873i	0.781203	+	0.624277i	$0.214606\pi$
$564$	22.5519	−	8.20822i	0.949606	−	0.345628i
$565$	7.92265	+	13.7224i	0.333308	+	0.577307i
$566$	−1.85196	+	3.20768i	−0.0778436	+	0.134829i
$567$	0.407562	−	2.31140i	0.0171160	−	0.0970697i
$568$	−6.34279	−	2.30859i	−0.266138	−	0.0968662i
$569$	−14.4706	−	25.0638i	−0.606638	−	1.05073i	−0.991790	−	0.127875i	$-0.959184\pi$
$569$	−14.4706	−	25.0638i	−0.606638	−	1.05073i	0.385152	−	0.922853i	$-0.374149\pi$
$570$	−13.0106	−	10.9172i	−0.544954	−	0.457270i
$571$	−14.5114	−	12.1765i	−0.607284	−	0.509572i	0.286494	−	0.958082i	$-0.407510\pi$
$571$	−14.5114	−	12.1765i	−0.607284	−	0.509572i	−0.893778	+	0.448510i	$0.851955\pi$
$572$	3.36318	−	1.22410i	0.140622	−	0.0511821i
$573$	3.14590	+	17.8413i	0.131422	+	0.745329i
$574$	−7.57152	−	42.9402i	−0.316029	−	1.79229i
$575$	0.161096	−	0.0586341i	0.00671817	−	0.00244521i
$576$	3.64245	+	3.05638i	0.151769	+	0.127349i
$577$	26.8925	+	22.5655i	1.11955	+	0.939414i	0.998582	−	0.0532425i	$-0.0169556\pi$
$577$	26.8925	+	22.5655i	1.11955	+	0.939414i	0.120968	+	0.992656i	$0.461400\pi$
$578$	−8.49365	−	14.7114i	−0.353289	−	0.611915i
$579$	43.4538	+	15.8159i	1.80588	+	0.657286i
$580$	−1.17160	+	6.64448i	−0.0486481	+	0.275897i
$581$	−2.82302	+	4.88961i	−0.117119	+	0.202855i
$582$	23.3334	+	40.4147i	0.967201	+	1.67524i
$583$	2.71121	−	0.986801i	0.112287	−	0.0408691i
$584$	−0.950124	+	1.64566i	−0.0393164	+	0.0680980i
$585$	5.51193	−	4.62506i	0.227890	−	0.191223i
$586$	−29.3883			−1.21402
$587$	15.5618	−	13.0579i	0.642305	−	0.538958i	−0.262420	−	0.964954i	$-0.584521\pi$
$587$	15.5618	−	13.0579i	0.642305	−	0.538958i	0.904725	+	0.425996i	$0.140076\pi$
$588$	15.2020	+	5.53307i	0.626919	+	0.228180i
$589$	−10.3594	−	58.7512i	−0.426853	−	2.42080i
$590$	−0.133185	+	0.755331i	−0.00548315	+	0.0310965i
$591$	25.5728			1.05193
$592$	−1.13357	−	5.97621i	−0.0465893	−	0.245621i
$593$	−13.7816			−0.565944			−0.282972	−	0.959128i	$-0.591320\pi$
$593$	−13.7816			−0.565944			−0.282972	+	0.959128i	$0.591320\pi$
$594$	2.00705	−	11.3825i	0.0823502	−	0.467031i
$595$	0.0700126	+	0.397061i	0.00287023	+	0.0162779i
$596$	−18.1970	−	6.62317i	−0.745379	−	0.271296i
$597$	−5.07160	+	4.25558i	−0.207567	+	0.174169i
$598$	−0.259424			−0.0106086
$599$	−16.9414	+	14.2155i	−0.692205	+	0.580829i	−0.919544	−	0.392986i	$-0.871442\pi$
$599$	−16.9414	+	14.2155i	−0.692205	+	0.580829i	0.227339	+	0.973816i	$0.426997\pi$
$600$	−1.39238	+	2.41167i	−0.0568436	+	0.0984561i
$601$	−36.3996	+	13.2484i	−1.48477	+	0.540412i	−0.952067	−	0.305890i	$-0.901046\pi$
$601$	−36.3996	+	13.2484i	−1.48477	+	0.540412i	−0.532703	+	0.846302i	$0.678824\pi$
$602$	12.3789	+	21.4409i	0.504527	+	0.873866i
$603$	−0.144745	+	0.250706i	−0.00589447	+	0.0102095i
$604$	1.62800	−	9.23283i	0.0662423	−	0.375678i
$605$	−5.08015	−	1.84902i	−0.206538	−	0.0751735i
$606$	−11.5813	−	20.0594i	−0.470458	−	0.814856i
$607$	−17.6124	−	14.7785i	−0.714864	−	0.599842i	0.211095	−	0.977465i	$-0.432297\pi$
$607$	−17.6124	−	14.7785i	−0.714864	−	0.599842i	−0.925959	+	0.377624i	$0.876741\pi$
$608$	−4.67207	−	3.92033i	−0.189478	−	0.158991i
$609$	−63.1897	+	22.9992i	−2.56057	+	0.931973i
$610$	0.502754	+	2.85126i	0.0203559	+	0.115444i
$611$	−2.26460	−	12.8432i	−0.0916157	−	0.519579i
$612$	−0.503347	+	0.183203i	−0.0203466	+	0.00740555i
$613$	−6.91039	−	5.79850i	−0.279108	−	0.234199i	0.492477	−	0.870325i	$-0.336091\pi$
$613$	−6.91039	−	5.79850i	−0.279108	−	0.234199i	−0.771585	+	0.636126i	$0.780536\pi$
$614$	−17.6196	−	14.7846i	−0.711070	−	0.596658i
$615$	16.9632	+	29.3811i	0.684021	+	1.18476i
$616$	−7.95432	−	2.89514i	−0.320489	−	0.116648i
$617$	1.32696	−	7.52554i	0.0534212	−	0.302967i	−0.946377	−	0.323065i	$-0.895287\pi$
$617$	1.32696	−	7.52554i	0.0534212	−	0.302967i	0.999798	+	0.0200982i	$0.00639788\pi$
$618$	6.72484	−	11.6478i	0.270513	−	0.468542i
$619$	14.3727	+	24.8943i	0.577688	+	1.00059i	0.995744	+	0.0921637i	$0.0293783\pi$
$619$	14.3727	+	24.8943i	0.577688	+	1.00059i	−0.418056	+	0.908421i	$0.637288\pi$
$620$	−9.19170	+	3.34550i	−0.369147	+	0.134359i
$621$	−0.418893	+	0.725543i	−0.0168096	+	0.0291150i
$622$	−19.0538	+	15.9880i	−0.763988	+	0.641062i
$623$	−56.6057			−2.26786
$624$	3.22814	−	2.70873i	0.129229	−	0.108436i
$625$	−0.939693	−	0.342020i	−0.0375877	−	0.0136808i
$626$	3.39139	+	19.2335i	0.135547	+	0.768726i
$627$	−6.97537	+	39.5593i	−0.278569	+	1.57985i
$628$	24.2424			0.967375
$629$	0.646890	+	0.226027i	0.0257932	+	0.00901230i
$630$	−17.0178			−0.678004
$631$	−2.61420	+	14.8259i	−0.104070	+	0.590209i	0.887518	+	0.460773i	$0.152428\pi$
$631$	−2.61420	+	14.8259i	−0.104070	+	0.590209i	−0.991588	+	0.129436i	$0.958683\pi$
$632$	2.18054	+	12.3664i	0.0867370	+	0.491910i
$633$	−48.1412	−	17.5220i	−1.91344	−	0.696436i
$634$	17.6130	−	14.7790i	0.699500	−	0.586951i
$635$	−20.4912			−0.813170
$636$	2.60235	−	2.18363i	0.103190	−	0.0865865i
$637$	4.39549	−	7.61322i	0.174156	−	0.301647i
$638$	14.9951	−	5.45777i	0.593662	−	0.216075i
$639$	16.0474	+	27.7949i	0.634824	+	1.09955i
$640$	−0.500000	+	0.866025i	−0.0197642	+	0.0342327i
$641$	2.48336	−	14.0838i	0.0980868	−	0.556278i	−0.895671	−	0.444718i	$-0.853304\pi$
$641$	2.48336	−	14.0838i	0.0980868	−	0.556278i	0.993758	−	0.111560i	$-0.0355849\pi$
$642$	11.7067	+	4.26087i	0.462025	+	0.168163i
$643$	−19.6501	−	34.0350i	−0.774926	−	1.34221i	−0.934836	−	0.355079i	$-0.884454\pi$
$643$	−19.6501	−	34.0350i	−0.774926	−	1.34221i	0.159911	−	0.987131i	$-0.448879\pi$
$644$	0.470020	+	0.394394i	0.0185214	+	0.0155413i
$645$	−14.7567	−	12.3824i	−0.581046	−	0.487555i
$646$	0.645630	−	0.234990i	0.0254020	−	0.00924556i
$647$	2.73037	+	15.4847i	0.107342	+	0.608767i	0.990259	+	0.139238i	$0.0444652\pi$
$647$	2.73037	+	15.4847i	0.107342	+	0.608767i	−0.882917	+	0.469529i	$0.844424\pi$
$648$	0.113876	+	0.645821i	0.00447346	+	0.0253702i
$649$	1.70461	−	0.620428i	0.0669119	−	0.0243539i
$650$	1.15922	+	0.972698i	0.0454682	+	0.0381524i
$651$	−74.6818	−	62.6655i	−2.92701	−	2.45605i
$652$	4.99442	+	8.65059i	0.195597	+	0.338783i
$653$	20.4006	+	7.42521i	0.798337	+	0.290571i	0.708797	−	0.705412i	$-0.249238\pi$
$653$	20.4006	+	7.42521i	0.798337	+	0.290571i	0.0895401	+	0.995983i	$0.471460\pi$
$654$	3.57568	−	20.2787i	0.139820	−	0.792960i
$655$	5.13046	−	8.88622i	0.200464	−	0.347213i
$656$	6.09143	+	10.5507i	0.237830	+	0.411934i
$657$	8.49054	−	3.09030i	0.331247	−	0.120564i
$658$	−15.4221	+	26.7118i	−0.601216	+	1.04134i
$659$	12.8355	−	10.7703i	0.500000	−	0.419550i	−0.357594	−	0.933877i	$-0.616403\pi$
$659$	12.8355	−	10.7703i	0.500000	−	0.419550i	0.857594	+	0.514327i	$0.171958\pi$
$660$	6.58630			0.256371
$661$	−1.45199	+	1.21837i	−0.0564760	+	0.0473890i	−0.670589	−	0.741829i	$-0.733958\pi$
$661$	−1.45199	+	1.21837i	−0.0564760	+	0.0473890i	0.614113	+	0.789218i	$0.289514\pi$
$662$	−18.0766	−	6.57936i	−0.702568	−	0.255714i
$663$	0.0824348	+	0.467511i	0.00320150	+	0.0181566i
$664$	0.273937	−	1.55357i	0.0106308	−	0.0602903i
$665$	21.8283			0.846463
$666$	−14.1366	+	25.2326i	−0.547781	+	0.977744i
$667$	−1.15667			−0.0447863
$668$	−0.120664	+	0.684322i	−0.00466865	+	0.0264772i
$669$	2.54620	+	14.4402i	0.0984417	+	0.558291i
$670$	−0.0572111	−	0.0208231i	−0.00221026	−	0.000804468i
$671$	5.24558	−	4.40157i	0.202503	−	0.169921i
$672$	−9.96669			−0.384473
$673$	−18.9210	+	15.8766i	−0.729349	+	0.611997i	−0.929954	−	0.367675i	$-0.880154\pi$
$673$	−18.9210	+	15.8766i	−0.729349	+	0.611997i	0.200605	+	0.979672i	$0.435709\pi$
$674$	0.354907	−	0.614717i	0.0136705	−	0.0236780i
$675$	4.59219	−	1.67142i	0.176753	−	0.0643330i
$676$	5.35504	+	9.27520i	0.205963	+	0.356738i
$677$	−18.3333	+	31.7542i	−0.704606	+	1.22041i	0.262228	+	0.965006i	$0.415543\pi$
$677$	−18.3333	+	31.7542i	−0.704606	+	1.22041i	−0.966834	+	0.255407i	$0.917790\pi$
$678$	7.66228	−	43.4550i	0.294268	−	1.66888i
$679$	−56.3599	−	20.5133i	−2.16289	−	0.787229i
$680$	−0.0563264	−	0.0975602i	−0.00216002	−	0.00374126i
$681$	22.9663	+	19.2710i	0.880071	+	0.738468i
$682$	17.7222	+	14.8707i	0.678619	+	0.569429i
$683$	−38.3627	+	13.9629i	−1.46791	+	0.534274i	−0.947531	−	0.319664i	$-0.896430\pi$
$683$	−38.3627	+	13.9629i	−1.46791	+	0.534274i	−0.520375	+	0.853938i	$0.674208\pi$
$684$	5.03576	+	28.5592i	0.192547	+	1.09199i
$685$	2.87860	+	16.3253i	0.109986	+	0.623759i
$686$	4.00439	−	1.45748i	0.152888	−	0.0556468i
$687$	−46.7604	−	39.2366i	−1.78402	−	1.49697i
$688$	−5.29911	−	4.44648i	−0.202027	−	0.169520i
$689$	−0.923006	−	1.59869i	−0.0351637	−	0.0609054i
$690$	−0.448613	−	0.163282i	−0.0170784	−	0.00621603i
$691$	1.51246	−	8.57760i	0.0575368	−	0.326307i	−0.942430	−	0.334402i	$-0.891466\pi$
$691$	1.51246	−	8.57760i	0.0575368	−	0.326307i	0.999967	+	0.00809500i	$0.00257675\pi$
$692$	7.84115	−	13.5813i	0.298076	−	0.516283i
$693$	20.1246	+	34.8568i	0.764469	+	1.32410i
$694$	15.1643	−	5.51934i	0.575627	−	0.209511i
$695$	2.36398	−	4.09454i	0.0896710	−	0.155315i
$696$	14.3930	−	12.0771i	0.545565	−	0.457783i
$697$	−1.37243			−0.0519847
$698$	12.2171	−	10.2514i	0.462425	−	0.388021i
$699$	11.8615	+	4.31723i	0.448643	+	0.163293i
$700$	−0.621489	−	3.52464i	−0.0234901	−	0.133219i
$701$	−7.92179	+	44.9267i	−0.299202	+	1.69686i	0.350414	+	0.936595i	$0.386041\pi$
$701$	−7.92179	+	44.9267i	−0.299202	+	1.69686i	−0.649615	+	0.760263i	$0.725070\pi$
$702$	−7.39511			−0.279110
$703$	18.1326	−	32.3652i	0.683885	−	1.22068i
$704$	2.36512			0.0891390
$705$	4.16742	−	23.6346i	0.156954	−	0.890131i
$706$	−0.856728	−	4.85874i	−0.0322434	−	0.182861i
$707$	27.9736	+	10.1816i	1.05206	+	0.382917i
$708$	1.63617	−	1.37291i	0.0614909	−	0.0515970i
$709$	34.6625			1.30178			0.650889	−	0.759173i	$-0.274396\pi$
$709$	34.6625			1.30178			0.650889	+	0.759173i	$0.274396\pi$
$710$	−5.17069	+	4.33873i	−0.194053	+	0.162829i
$711$	29.8540	−	51.7086i	1.11961	−	1.93922i
$712$	14.8622	−	5.40940i	0.556984	−	0.202726i
$713$	−0.838453	−	1.45224i	−0.0314003	−	0.0543869i
$714$	0.561388	−	0.972352i	0.0210094	−	0.0363894i
$715$	0.621491	−	3.52465i	0.0232424	−	0.131814i
$716$	−18.8981	−	6.87836i	−0.706257	−	0.257056i
$717$	−26.2440	−	45.4560i	−0.980100	−	1.69758i
$718$	20.3001	+	17.0338i	0.757593	+	0.635696i
$719$	−31.1290	−	26.1203i	−1.16091	−	0.974123i	−0.160997	−	0.986955i	$-0.551471\pi$
$719$	−31.1290	−	26.1203i	−1.16091	−	0.974123i	−0.999918	+	0.0128319i	$0.995915\pi$
$720$	4.46812	−	1.62626i	0.166517	−	0.0606073i
$721$	3.00164	+	17.0231i	0.111787	+	0.633975i
$722$	−3.15992	−	17.9208i	−0.117600	−	0.666944i
$723$	66.3368	−	24.1446i	2.46709	−	0.897949i
$724$	8.74919	+	7.34145i	0.325161	+	0.272843i
$725$	5.16849	+	4.33688i	0.191953	+	0.161068i
$726$	7.52746	+	13.0379i	0.279370	+	0.483883i
$727$	49.8550	+	18.1457i	1.84902	+	0.672988i	0.985744	+	0.168254i	$0.0538128\pi$
$727$	49.8550	+	18.1457i	1.84902	+	0.672988i	0.863275	+	0.504734i	$0.168409\pi$
$728$	−0.940469	+	5.33366i	−0.0348561	+	0.197679i
$729$	21.9724	−	38.0572i	0.813791	−	1.40953i
$730$	0.950124	+	1.64566i	0.0351657	+	0.0609087i
$731$	0.732280	−	0.266528i	0.0270843	−	0.00985789i
$732$	4.03128	−	6.98238i	0.149000	−	0.258076i
$733$	11.9522	−	10.0291i	0.441465	−	0.370433i	−0.394792	−	0.918770i	$-0.629183\pi$
$733$	11.9522	−	10.0291i	0.441465	−	0.370433i	0.836257	+	0.548337i	$0.184739\pi$
$734$	−7.70512			−0.284401
$735$	12.3928	−	10.3988i	0.457114	−	0.383564i
$736$	−0.161096	−	0.0586341i	−0.00593808	−	0.00216128i
$737$	0.0250045	+	0.141808i	0.000921054	+	0.00522356i
$738$	10.0591	−	57.0480i	0.370280	−	2.09996i
$739$	0.592341			0.0217896			0.0108948	−	0.999941i	$-0.496532\pi$
$739$	0.592341			0.0217896			0.0108948	+	0.999941i	$0.496532\pi$
$740$	−5.74233	−	2.00641i	−0.211092	−	0.0737569i
$741$	25.7012			0.944158
$742$	−0.758154	+	4.29971i	−0.0278327	+	0.157847i
$743$	0.583953	+	3.31176i	0.0214232	+	0.121497i	0.993644	−	0.112569i	$-0.0359080\pi$
$743$	0.583953	+	3.31176i	0.0214232	+	0.121497i	−0.972221	+	0.234066i	$0.924797\pi$
$744$	25.5967	+	9.31642i	0.938419	+	0.341557i
$745$	−14.8343	+	12.4475i	−0.543488	+	0.456041i
$746$	22.5486			0.825562
$747$	−5.74610	+	4.82155i	−0.210239	+	0.176411i
$748$	−0.133219	+	0.230742i	−0.00487097	+	0.00843677i
$749$	−15.0456	+	5.47614i	−0.549753	+	0.200094i
$750$	1.39238	+	2.41167i	0.0508425	+	0.0880618i
$751$	26.3808	−	45.6928i	0.962648	−	1.66736i	0.246843	−	0.969056i	$-0.420607\pi$
$751$	26.3808	−	45.6928i	0.962648	−	1.66736i	0.715805	−	0.698300i	$-0.246060\pi$
$752$	1.49651	−	8.48714i	0.0545722	−	0.309494i
$753$	29.4599	+	10.7225i	1.07358	+	0.390751i
$754$	−5.10493	−	8.84200i	−0.185911	−	0.322007i
$755$	−7.18187	−	6.02630i	−0.261375	−	0.219320i
$756$	13.3983	+	11.2425i	0.487293	+	0.408887i
$757$	−8.79181	+	3.19996i	−0.319544	+	0.116304i	−0.496812	−	0.867858i	$-0.665496\pi$
$757$	−8.79181	+	3.19996i	−0.319544	+	0.116304i	0.177268	+	0.984163i	$0.443274\pi$
$758$	3.04579	+	17.2735i	0.110628	+	0.627403i
$759$	0.196070	+	1.11197i	0.00711688	+	0.0403618i
$760$	−5.73114	+	2.08597i	−0.207890	+	0.0756659i
$761$	3.67825	+	3.08642i	0.133336	+	0.111883i	0.707017	−	0.707197i	$-0.250040\pi$
$761$	3.67825	+	3.08642i	0.133336	+	0.111883i	−0.573680	+	0.819079i	$0.694485\pi$
$762$	43.7129	+	36.6795i	1.58355	+	1.32876i
$763$	13.2323	+	22.9190i	0.479041	+	0.829723i
$764$	6.11325	+	2.22504i	0.221170	+	0.0804992i
$765$	−0.0930147	+	0.527513i	−0.00336295	+	0.0190723i
$766$	9.45164	−	16.3707i	0.341502	−	0.591498i
$767$	−0.580319	−	1.00514i	−0.0209541	−	0.0362936i
$768$	2.61682	−	0.952443i	0.0944262	−	0.0343683i
$769$	−20.8542	+	36.1205i	−0.752021	+	1.30254i	0.194821	+	0.980839i	$0.437587\pi$
$769$	−20.8542	+	36.1205i	−0.752021	+	1.30254i	−0.946842	+	0.321699i	$0.895746\pi$
$770$	−6.48442	+	5.44108i	−0.233682	+	0.196083i
$771$	23.8869			0.860266
$772$	12.7206	−	10.6739i	0.457826	−	0.384161i
$773$	6.27299	+	2.28318i	0.225624	+	0.0821204i	0.452358	−	0.891836i	$-0.350583\pi$
$773$	6.27299	+	2.28318i	0.225624	+	0.0821204i	−0.226735	+	0.973957i	$0.572805\pi$
$774$	5.71161	+	32.3921i	0.205299	+	1.16431i
$775$	−1.69856	+	9.63300i	−0.0610140	+	0.346027i
$776$	16.7580			0.601575
$777$	−11.2979	−	59.5630i	−0.405310	−	2.13681i
$778$	−17.3666			−0.622623
$779$	−12.9025	+	73.1739i	−0.462281	+	2.62173i
$780$	−0.731759	−	4.15001i	−0.0262012	−	0.148594i
$781$	15.0015	+	5.46010i	0.536796	+	0.195378i
$782$	0.0147943	−	0.0124139i	0.000529044	−	0.000443921i
$783$	−32.9718			−1.17832
$784$	4.45021	−	3.73417i	0.158936	−	0.133363i
$785$	12.1212	−	20.9945i	0.432623	−	0.749326i
$786$	−26.8510	+	9.77295i	−0.957742	+	0.348590i
$787$	−6.03064	−	10.4454i	−0.214969	−	0.372338i	0.738294	−	0.674479i	$-0.235632\pi$
$787$	−6.03064	−	10.4454i	−0.214969	−	0.372338i	−0.953263	+	0.302142i	$0.902298\pi$
$788$	4.59157	−	7.95283i	0.163568	−	0.283308i
$789$	7.36152	−	41.7493i	0.262077	−	1.48631i
$790$	11.7999	+	4.29482i	0.419822	+	0.152803i
$791$	28.3553	+	49.1128i	1.00820	+	1.74625i
$792$	−8.61484	−	7.22871i	−0.306115	−	0.256861i
$793$	−3.35622	−	2.81620i	−0.119183	−	0.100006i
$794$	2.00772	−	0.730750i	0.0712512	−	0.0259333i
$795$	−0.589904	−	3.34551i	−0.0209217	−	0.118653i
$796$	0.412833	+	2.34129i	0.0146325	+	0.0829848i
$797$	−40.8788	+	14.8787i	−1.44800	+	0.527029i	−0.942032	−	0.335523i	$-0.891087\pi$
$797$	−40.8788	+	14.8787i	−1.44800	+	0.527029i	−0.505969	+	0.862552i	$0.668865\pi$
$798$	−46.5651	−	39.0727i	−1.64839	−	1.38316i
$799$	0.743714	+	0.624050i	0.0263107	+	0.0220773i
$800$	0.500000	+	0.866025i	0.0176777	+	0.0306186i
$801$	−70.6679	−	25.7210i	−2.49693	−	0.908807i
$802$	−6.49411	+	36.8299i	−0.229315	+	1.30051i
$803$	2.24716	−	3.89220i	0.0793006	−	0.137353i
$804$	0.0847719	+	0.146829i	0.00298967	+	0.00517827i
$805$	0.576565	−	0.209852i	0.0203212	−	0.00739633i
$806$	7.40100	−	12.8189i	0.260689	−	0.451527i
$807$	−26.2099	+	21.9927i	−0.922633	+	0.774181i
$808$	−8.31762			−0.292613
$809$	−34.5169	+	28.9631i	−1.21355	+	1.01829i	−0.214413	+	0.976743i	$0.568784\pi$
$809$	−34.5169	+	28.9631i	−1.21355	+	1.01829i	−0.999137	+	0.0415460i	$0.986772\pi$
$810$	0.616235	+	0.224291i	0.0216523	+	0.00788079i
$811$	2.18904	+	12.4147i	0.0768677	+	0.435938i	0.998817	+	0.0486277i	$0.0154848\pi$
$811$	2.18904	+	12.4147i	0.0768677	+	0.435938i	−0.921949	+	0.387311i	$0.873404\pi$
$812$	−4.19318	+	23.7807i	−0.147152	+	0.834538i
$813$	−2.99631			−0.105085
$814$	2.68103	+	14.1345i	0.0939699	+	0.495413i
$815$	9.98884			0.349894
$816$	−0.0544753	+	0.308945i	−0.00190702	+	0.0108152i
$817$	−7.32613	−	41.5485i	−0.256309	−	1.45360i
$818$	35.9723	+	13.0928i	1.25774	+	0.457780i
$819$	19.7273	−	16.5532i	0.689327	−	0.578414i
$820$	12.1829			0.425444
$821$	−6.96733	+	5.84628i	−0.243161	+	0.204037i	−0.756221	−	0.654316i	$-0.772956\pi$
$821$	−6.96733	+	5.84628i	−0.243161	+	0.204037i	0.513059	+	0.858353i	$0.328512\pi$
$822$	23.0817	−	39.9787i	0.805068	−	1.39442i
$823$	29.8964	−	10.8814i	1.04212	−	0.379302i	0.236439	−	0.971646i	$-0.424020\pi$
$823$	29.8964	−	10.8814i	1.04212	−	0.379302i	0.805685	+	0.592344i	$0.201797\pi$
$824$	−2.41488	−	4.18269i	−0.0841262	−	0.145711i
$825$	3.29315	−	5.70390i	0.114653	−	0.198584i
$826$	−0.476672	+	2.70334i	−0.0165855	+	0.0940613i
$827$	11.8049	+	4.29663i	0.410496	+	0.149408i	0.539010	−	0.842299i	$-0.318799\pi$
$827$	11.8049	+	4.29663i	0.410496	+	0.149408i	−0.128514	+	0.991708i	$0.541021\pi$
$828$	0.407575	+	0.705941i	0.0141642	+	0.0245332i
$829$	−26.4097	−	22.1604i	−0.917246	−	0.769661i	0.0562373	−	0.998417i	$-0.482090\pi$
$829$	−26.4097	−	22.1604i	−0.917246	−	0.769661i	−0.973484	+	0.228756i	$0.926534\pi$
$830$	−1.20847	−	1.01402i	−0.0419464	−	0.0351972i
$831$	26.5340	−	9.65758i	0.920454	−	0.335018i
$832$	−0.262773	−	1.49026i	−0.00911002	−	0.0516655i
$833$	0.113642	+	0.644497i	0.00393747	+	0.0223305i
$834$	−12.3722	+	4.50312i	−0.428415	+	0.155930i
$835$	0.532308	+	0.446659i	0.0184213	+	0.0154573i
$836$	11.0500	+	9.27208i	0.382173	+	0.320681i
$837$	−23.9009	−	41.3975i	−0.826135	−	1.43091i
$838$	−28.8519	−	10.5012i	−0.996672	−	0.362759i
$839$	−7.57665	+	42.9693i	−0.261575	+	1.48346i	0.517039	+	0.855962i	$0.327034\pi$
$839$	−7.57665	+	42.9693i	−0.261575	+	1.48346i	−0.778614	+	0.627503i	$0.784077\pi$
$840$	−4.98334	+	8.63140i	−0.171942	+	0.297812i
$841$	−8.26087	−	14.3083i	−0.284858	−	0.493388i
$842$	16.4460	−	5.98587i	0.566768	−	0.206287i
$843$	−22.5403	+	39.0409i	−0.776328	+	1.34464i
$844$	−14.0928	+	11.8253i	−0.485095	+	0.407043i
$845$	10.7101			0.368438
$846$	−31.3908	+	26.3400i	−1.07924	+	0.905589i
$847$	−18.1819	−	6.61768i	−0.624739	−	0.227386i
$848$	−0.211833	−	1.20137i	−0.00727438	−	0.0412551i
$849$	1.79110	−	10.1578i	0.0614702	−	0.348615i
$850$	−0.112653			−0.00386396
$851$	0.167797	−	1.02921i	0.00575200	−	0.0352808i
$852$	18.7967			0.643965
$853$	8.49326	−	48.1677i	0.290804	−	1.64923i	−0.392981	−	0.919547i	$-0.628556\pi$
$853$	8.49326	−	48.1677i	0.290804	−	1.64923i	0.683785	−	0.729684i	$-0.260333\pi$
$854$	1.79937	+	10.2047i	0.0615730	+	0.349198i
$855$	27.2509	+	9.91851i	0.931960	+	0.339206i
$856$	3.42699	−	2.87559i	0.117132	−	0.0982856i
$857$	−12.5847			−0.429886			−0.214943	−	0.976627i	$-0.568957\pi$
$857$	−12.5847			−0.429886			−0.214943	+	0.976627i	$0.568957\pi$
$858$	−7.63495	+	6.40648i	−0.260653	+	0.218714i
$859$	−7.03150	+	12.1789i	−0.239912	+	0.415539i	−0.960689	−	0.277628i	$-0.910452\pi$
$859$	−7.03150	+	12.1789i	−0.239912	+	0.415539i	0.720777	+	0.693167i	$0.243785\pi$
$860$	−6.50032	+	2.36592i	−0.221659	+	0.0806773i
$861$	60.7114	+	105.155i	2.06904	+	3.58368i
$862$	−8.05133	+	13.9453i	−0.274229	+	0.474979i
$863$	6.93857	−	39.3506i	0.236192	−	1.33951i	−0.603898	−	0.797062i	$-0.706386\pi$
$863$	6.93857	−	39.3506i	0.236192	−	1.33951i	0.840089	−	0.542448i	$-0.182502\pi$
$864$	−4.59219	−	1.67142i	−0.156229	−	0.0568629i
$865$	−7.84115	−	13.5813i	−0.266607	−	0.461777i
$866$	−1.18895	−	0.997651i	−0.0404023	−	0.0339016i
$867$	36.2381	+	30.4074i	1.23071	+	1.03269i
$868$	−32.8972	+	11.9736i	−1.11660	+	0.406411i
$869$	−5.15724	−	29.2481i	−0.174947	−	0.992175i
$870$	−3.26262	−	18.5033i	−0.110613	−	0.627319i
$871$	0.0865747	−	0.0315106i	0.00293347	−	0.00106770i
$872$	−5.66442	−	4.75301i	−0.191821	−	0.160957i
$873$	−61.0399	−	51.2186i	−2.06589	−	1.73349i
$874$	−0.522787	−	0.905493i	−0.0176835	−	0.0306288i
$875$	−3.36317	−	1.22409i	−0.113696	−	0.0413820i
$876$	0.918899	−	5.21134i	0.0310467	−	0.176075i
$877$	−10.2970	+	17.8350i	−0.347706	+	0.602244i	−0.985842	−	0.167680i	$-0.946373\pi$
$877$	−10.2970	+	17.8350i	−0.347706	+	0.602244i	0.638136	+	0.769924i	$0.279706\pi$
$878$	−11.6709	−	20.2147i	−0.393875	−	0.682212i
$879$	76.9037	−	27.9906i	2.59390	−	0.944101i
$880$	1.18256	−	2.04826i	0.0398642	−	0.0690468i
$881$	−16.4653	+	13.8160i	−0.554728	+	0.465472i	−0.876538	−	0.481332i	$-0.840153\pi$
$881$	−16.4653	+	13.8160i	−0.554728	+	0.465472i	0.321810	+	0.946804i	$0.395709\pi$
$882$	−27.6227			−0.930105
$883$	−33.8702	+	28.4204i	−1.13982	+	0.956424i	−0.999433	−	0.0336724i	$-0.989280\pi$
$883$	−33.8702	+	28.4204i	−1.13982	+	0.956424i	−0.140389	+	0.990096i	$0.544835\pi$
$884$	0.160191	+	0.0583048i	0.00538781	+	0.00196100i
$885$	−0.370889	−	2.10341i	−0.0124673	−	0.0707055i
$886$	6.50253	−	36.8777i	0.218457	−	1.23893i
$887$	9.65217			0.324088			0.162044	−	0.986784i	$-0.448191\pi$
$887$	9.65217			0.324088			0.162044	+	0.986784i	$0.448191\pi$
$888$	8.65833	+	14.5590i	0.290555	+	0.488567i
$889$	−73.3385			−2.45969
$890$	2.74642	−	15.5757i	0.0920603	−	0.522100i
$891$	−0.269330	−	1.52745i	−0.00902289	−	0.0511714i
$892$	4.94789	+	1.80089i	0.165668	+	0.0602981i
$893$	40.2642	−	33.7857i	1.34739	−	1.13060i
$894$	53.9264			1.80357
$895$	−15.4059	+	12.9271i	−0.514963	+	0.432105i
$896$	−1.78951	+	3.09952i	−0.0597832	+	0.103548i
$897$	0.678864	−	0.247086i	0.0226666	−	0.00824997i
$898$	5.64803	+	9.78268i	0.188477	+	0.326452i
$899$	32.9981	−	57.1544i	1.10055	−	1.90621i
$900$	0.825676	−	4.68264i	0.0275225	−	0.156088i
$901$	0.129137	+	0.0470022i	0.00430219	+	0.00156587i
$902$	−14.4070	−	24.9537i	−0.479701	−	0.830866i
$903$	−52.8146	−	44.3167i	−1.75756	−	1.47477i
$904$	−12.1382	−	10.1852i	−0.403711	−	0.338754i
$905$	10.7325	−	3.90630i	0.356760	−	0.129850i
$906$	4.53358	+	25.7112i	0.150618	+	0.854197i
$907$	−1.12417	−	6.37547i	−0.0373274	−	0.211694i	0.960439	−	0.278489i	$-0.0898337\pi$
$907$	−1.12417	−	6.37547i	−0.0373274	−	0.211694i	−0.997767	+	0.0667953i	$0.978723\pi$
$908$	10.1166	−	3.68215i	0.335732	−	0.122197i
$909$	30.2965	+	25.4218i	1.00487	+	0.843187i
$910$	4.14885	+	3.48130i	0.137533	+	0.115404i
$911$	21.7945	+	37.7492i	0.722084	+	1.25069i	0.960163	+	0.279441i	$0.0901491\pi$
$911$	21.7945	+	37.7492i	0.722084	+	1.25069i	−0.238078	+	0.971246i	$0.576518\pi$
$912$	15.9598	+	5.80891i	0.528483	+	0.192352i
$913$	−0.647895	+	3.67439i	−0.0214422	+	0.121605i
$914$	−6.81915	+	11.8111i	−0.225557	+	0.390677i
$915$	−4.03128	−	6.98238i	−0.133270	−	0.230830i
$916$	−20.5979	+	7.49701i	−0.680573	+	0.247708i
$917$	18.3620	−	31.8039i	0.606367	−	1.05026i
$918$	0.421726	−	0.353870i	0.0139190	−	0.0116794i
$919$	43.2370			1.42626			0.713128	−	0.701034i	$-0.247278\pi$
$919$	43.2370			1.42626			0.713128	+	0.701034i	$0.247278\pi$
$920$	−0.131327	+	0.110196i	−0.00432971	+	0.00363306i
$921$	60.1888	+	21.9069i	1.98329	+	0.721858i
$922$	0.120460	+	0.683163i	0.00396714	+	0.0224988i
$923$	1.77368	−	10.0590i	0.0583814	−	0.331098i
$924$	23.5725			0.775477
$925$	−4.60876	+	3.96980i	−0.151535	+	0.130526i
$926$	−29.6771			−0.975252
$927$	−3.98781	+	22.6160i	−0.130977	+	0.742806i
$928$	−1.17160	−	6.64448i	−0.0384597	−	0.218116i
$929$	24.5306	+	8.92839i	0.804822	+	0.292931i	0.711483	−	0.702703i	$-0.248024\pi$
$929$	24.5306	+	8.92839i	0.804822	+	0.292931i	0.0933386	+	0.995634i	$0.470246\pi$
$930$	20.8666	−	17.5091i	0.684242	−	0.574147i
$931$	35.4309			1.16120
$932$	3.47233	−	2.91363i	0.113740	−	0.0954390i
$933$	34.6326	−	59.9854i	1.13382	−	1.96383i
$934$	20.5054	−	7.46335i	0.670957	−	0.244208i
$935$	0.133219	+	0.230742i	0.00435673	+	0.00754607i
$936$	−3.59766	+	6.23133i	−0.117593	+	0.203677i
$937$	−5.24594	+	29.7512i	−0.171377	+	0.971929i	0.770865	+	0.636998i	$0.219824\pi$
$937$	−5.24594	+	29.7512i	−0.171377	+	0.971929i	−0.942243	+	0.334931i	$0.891287\pi$
$938$	−0.204759	−	0.0745263i	−0.00668563	−	0.00243337i
$939$	−27.1935	−	47.1005i	−0.887426	−	1.53707i
$940$	−6.60182	−	5.53959i	−0.215328	−	0.180681i
$941$	−40.3210	−	33.8334i	−1.31443	−	1.10294i	−0.987455	−	0.157903i	$-0.949527\pi$
$941$	−40.3210	−	33.8334i	−1.31443	−	1.10294i	−0.326973	−	0.945034i	$-0.606029\pi$
$942$	−63.4378	+	23.0895i	−2.06691	+	0.752295i
$943$	0.362676	+	2.05684i	0.0118103	+	0.0669798i
$944$	−0.133185	−	0.755331i	−0.00433481	−	0.0245839i
$945$	16.4355	−	5.98203i	0.534647	−	0.194596i
$946$	12.5331	+	10.5165i	0.407485	+	0.341920i
$947$	26.4496	+	22.1938i	0.859496	+	0.721202i	0.961859	−	0.273545i	$-0.0881961\pi$
$947$	26.4496	+	22.1938i	0.859496	+	0.721202i	−0.102364	+	0.994747i	$0.532641\pi$
$948$	−17.4844	−	30.2838i	−0.567866	−	0.983573i
$949$	−2.70213	−	0.983496i	−0.0877149	−	0.0319256i
$950$	−1.05907	+	6.00630i	−0.0343609	+	0.194870i
$951$	−32.0137	+	55.4494i	−1.03812	+	1.79807i
$952$	−0.201593	−	0.349169i	−0.00653367	−	0.0113166i
$953$	−5.26828	+	1.91750i	−0.170656	+	0.0621138i	−0.425935	−	0.904754i	$-0.640055\pi$
$953$	−5.26828	+	1.91750i	−0.170656	+	0.0621138i	0.255279	+	0.966867i	$0.417833\pi$
$954$	−2.90023	+	5.02335i	−0.0938986	+	0.162637i
$955$	4.98357	−	4.18171i	0.161265	−	0.135317i
$956$	−18.8483			−0.609598
$957$	−34.0412	+	28.5640i	−1.10040	+	0.923342i
$958$	−6.40691	−	2.33193i	−0.206998	−	0.0753411i
$959$	10.3025	+	58.4286i	0.332686	+	1.88676i
$960$	0.483568	−	2.74245i	0.0156071	−	0.0885122i
$961$	64.6797			2.08644
$962$	8.60823	−	3.25969i	0.277540	−	0.105097i
$963$	−21.2715			−0.685465
$964$	4.40202	−	24.9651i	0.141779	−	0.804071i
$965$	−2.88353	−	16.3533i	−0.0928242	−	0.526432i
$966$	−1.60559	−	0.584388i	−0.0516591	−	0.0188024i
$967$	−26.3603	+	22.1189i	−0.847691	+	0.711297i	−0.959280	−	0.282457i	$-0.908850\pi$
$967$	−26.3603	+	22.1189i	−0.847691	+	0.711297i	0.111589	+	0.993754i	$0.464406\pi$
$968$	5.40619			0.173761
$969$	−1.46568	+	1.22985i	−0.0470844	+	0.0395085i
$970$	8.37898	−	14.5128i	0.269033	−	0.465978i
$971$	39.4365	−	14.3537i	1.26558	−	0.460632i	0.379940	−	0.925011i	$-0.375945\pi$
$971$	39.4365	−	14.3537i	1.26558	−	0.460632i	0.885637	+	0.464379i	$0.153722\pi$
$972$	−8.24346	−	14.2781i	−0.264409	−	0.457970i
$973$	8.46073	−	14.6544i	0.271239	−	0.469799i
$974$	−0.213611	+	1.21145i	−0.00684453	+	0.0388172i
$975$	−3.95990	−	1.44128i	−0.126818	−	0.0461580i
$976$	−1.44762	−	2.50736i	−0.0463373	−	0.0802586i
$977$	−1.33958	−	1.12404i	−0.0428569	−	0.0359612i	0.621108	−	0.783725i	$-0.286683\pi$
$977$	−1.33958	−	1.12404i	−0.0428569	−	0.0359612i	−0.663965	+	0.747764i	$0.731127\pi$
$978$	−21.3087	−	17.8801i	−0.681376	−	0.571743i
$979$	−35.1509	+	12.7939i	−1.12343	+	0.408895i
$980$	−1.00878	−	5.72109i	−0.0322244	−	0.182753i
$981$	6.10535	+	34.6252i	0.194929	+	1.10550i
$982$	−3.71596	+	1.35250i	−0.118581	+	0.0431599i
$983$	42.1925	+	35.4037i	1.34573	+	1.12920i	0.980113	+	0.198438i	$0.0635870\pi$
$983$	42.1925	+	35.4037i	1.34573	+	1.12920i	0.365619	+	0.930765i	$0.380857\pi$
$984$	−25.9891	−	21.8074i	−0.828501	−	0.695195i
$985$	−4.59157	−	7.95283i	−0.146300	−	0.253398i
$986$	0.714229	+	0.259958i	0.0227457	+	0.00827875i
$987$	14.9153	−	84.5887i	0.474758	−	2.69249i
$988$	4.61462	−	7.99276i	0.146811	−	0.254284i
$989$	−0.592949	−	1.02702i	−0.0188547	−	0.0326573i
$990$	−10.5677	+	3.84632i	−0.335862	+	0.122244i
$991$	−2.53966	+	4.39883i	−0.0806751	+	0.139733i	−0.903540	−	0.428504i	$-0.859041\pi$
$991$	−2.53966	+	4.39883i	−0.0806751	+	0.139733i	0.822865	+	0.568237i	$0.192374\pi$
$992$	7.49314	−	6.28749i	0.237907	−	0.199628i
$993$	53.5697			1.69998
$994$	−18.5060	+	15.5284i	−0.586974	+	0.492530i
$995$	2.23403	+	0.813122i	0.0708236	+	0.0257777i
$996$	0.762848	+	4.32632i	0.0241718	+	0.137085i
$997$	−9.79167	+	55.5313i	−0.310105	+	1.75869i	0.288338	+	0.957529i	$0.406897\pi$
$997$	−9.79167	+	55.5313i	−0.310105	+	1.75869i	−0.598443	+	0.801165i	$0.704214\pi$
$998$	−7.70540			−0.243910
$999$	4.78320	−	29.3385i	0.151334	−	0.928230i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.b.181.1	✓	18
37.9	even	9	inner	370.2.o.b.231.1	yes	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.b.181.1	✓	18	1.1	even	1	trivial
370.2.o.b.231.1	yes	18	37.9	even	9	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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 + 0.984808i) q^{2} +(-0.483568 - 2.74245i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.766044 + 0.642788i) q^{5} +2.78476 q^{6} +(-2.74168 + 2.30055i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.46812 + 1.62626i) q^{9} +O(q^{10})\)	\(q+(-0.173648 + 0.984808i) q^{2} +(-0.483568 - 2.74245i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.766044 + 0.642788i) q^{5} +2.78476 q^{6} +(-2.74168 + 2.30055i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.46812 + 1.62626i) q^{9} +(-0.500000 - 0.866025i) q^{10} +(-1.18256 + 2.04826i) q^{11} +(-0.483568 + 2.74245i) q^{12} +(1.42199 + 0.517562i) q^{13} +(-1.78951 - 3.09952i) q^{14} +(2.13325 + 1.79001i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-0.105859 + 0.0385295i) q^{17} +(-0.825676 - 4.68264i) q^{18} +(1.05907 + 6.00630i) q^{19} +(0.939693 - 0.342020i) q^{20} +(7.63493 + 6.40646i) q^{21} +(-1.81179 - 1.52027i) q^{22} +(0.0857174 + 0.148467i) q^{23} +(-2.61682 - 0.952443i) q^{24} +(0.173648 - 0.984808i) q^{25} +(-0.756625 + 1.31051i) q^{26} +(2.44345 + 4.23218i) q^{27} +(3.36317 - 1.22409i) q^{28} +(-3.37349 + 5.84306i) q^{29} +(-2.13325 + 1.79001i) q^{30} -9.78160 q^{31} +(-0.766044 + 0.642788i) q^{32} +(6.18910 + 2.25265i) q^{33} +(-0.0195620 - 0.110941i) q^{34} +(0.621489 - 3.52464i) q^{35} +4.75488 q^{36} +(-4.70979 - 3.84940i) q^{37} -6.09896 q^{38} +(0.731759 - 4.15001i) q^{39} +(0.173648 + 0.984808i) q^{40} +(11.4481 + 4.16679i) q^{41} +(-7.63493 + 6.40646i) q^{42} -6.91749 q^{43} +(1.81179 - 1.52027i) q^{44} +(2.37744 - 4.11784i) q^{45} +(-0.161096 + 0.0586341i) q^{46} +(-4.30903 - 7.46346i) q^{47} +(1.39238 - 2.41167i) q^{48} +(1.00878 - 5.72109i) q^{49} +(0.939693 + 0.342020i) q^{50} +(0.156855 + 0.271682i) q^{51} +(-1.15922 - 0.972698i) q^{52} +(-0.934497 - 0.784136i) q^{53} +(-4.59219 + 1.67142i) q^{54} +(-0.410700 - 2.32919i) q^{55} +(0.621489 + 3.52464i) q^{56} +(15.9598 - 5.80891i) q^{57} +(-5.16849 - 4.33688i) q^{58} +(-0.587543 - 0.493008i) q^{59} +(-1.39238 - 2.41167i) q^{60} +(-2.72064 - 0.990233i) q^{61} +(1.69856 - 9.63300i) q^{62} +(8.50888 - 14.7378i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.42199 + 0.517562i) q^{65} +(-3.29315 + 5.70390i) q^{66} +(0.0466389 - 0.0391347i) q^{67} +0.112653 q^{68} +(0.365713 - 0.306870i) q^{69} +(3.36317 + 1.22409i) q^{70} +(-1.17210 - 6.64731i) q^{71} +(-0.825676 + 4.68264i) q^{72} -1.90025 q^{73} +(4.60876 - 3.96980i) q^{74} -2.78476 q^{75} +(1.05907 - 6.00630i) q^{76} +(-1.46990 - 8.33621i) q^{77} +(3.95990 + 1.44128i) q^{78} +(-9.61938 + 8.07161i) q^{79} -1.00000 q^{80} +(-0.502359 + 0.421529i) q^{81} +(-6.09143 + 10.5507i) q^{82} +(1.48240 - 0.539550i) q^{83} +(-4.98334 - 8.63140i) q^{84} +(0.0563264 - 0.0975602i) q^{85} +(1.20121 - 6.81240i) q^{86} +(17.6556 + 6.42612i) q^{87} +(1.18256 + 2.04826i) q^{88} +(12.1158 + 10.1663i) q^{89} +(3.64245 + 3.05638i) q^{90} +(-5.08932 + 1.85236i) q^{91} +(-0.0297693 - 0.168830i) q^{92} +(4.73007 + 26.8256i) q^{93} +(8.09833 - 2.94755i) q^{94} +(-4.67207 - 3.92033i) q^{95} +(2.13325 + 1.79001i) q^{96} +(8.37898 + 14.5128i) q^{97} +(5.45900 + 1.98691i) q^{98} +(1.95283 - 11.0750i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 6 q^{6} - 9 q^{7} + 9 q^{8} - 12 q^{9}+O(q^{10}) \) 18 * q + 6 * q^6 - 9 * q^7 + 9 * q^8 - 12 * q^9	\( 18 q + 6 q^{6} - 9 q^{7} + 9 q^{8} - 12 q^{9} - 9 q^{10} + 15 q^{11} + 3 q^{13} - 6 q^{14} + 6 q^{17} - 6 q^{18} - 3 q^{19} - 12 q^{21} - 12 q^{22} + 15 q^{23} + 6 q^{26} + 12 q^{27} + 9 q^{28} - 12 q^{29} + 54 q^{31} + 9 q^{33} + 3 q^{34} - 12 q^{37} - 24 q^{38} - 30 q^{39} + 15 q^{41} + 12 q^{42} - 60 q^{43} + 12 q^{44} - 6 q^{46} + 6 q^{47} + 3 q^{48} - 27 q^{49} - 6 q^{51} - 6 q^{52} + 12 q^{53} - 9 q^{54} + 6 q^{55} + 45 q^{57} + 3 q^{58} - 27 q^{59} - 3 q^{60} - 9 q^{62} + 18 q^{63} - 9 q^{64} - 3 q^{65} - 9 q^{66} - 54 q^{67} + 12 q^{68} - 6 q^{69} + 9 q^{70} + 36 q^{71} - 6 q^{72} - 6 q^{73} + 18 q^{74} - 6 q^{75} - 3 q^{76} - 24 q^{77} + 12 q^{78} + 12 q^{79} - 18 q^{80} - 6 q^{81} + 3 q^{82} - 15 q^{83} - 6 q^{84} + 6 q^{85} + 30 q^{87} - 15 q^{88} + 84 q^{89} + 6 q^{90} + 12 q^{91} - 12 q^{92} - 18 q^{93} + 36 q^{94} - 24 q^{95} - 9 q^{97} - 30 q^{99}+O(q^{100}) \) 18 * q + 6 * q^6 - 9 * q^7 + 9 * q^8 - 12 * q^9 - 9 * q^10 + 15 * q^11 + 3 * q^13 - 6 * q^14 + 6 * q^17 - 6 * q^18 - 3 * q^19 - 12 * q^21 - 12 * q^22 + 15 * q^23 + 6 * q^26 + 12 * q^27 + 9 * q^28 - 12 * q^29 + 54 * q^31 + 9 * q^33 + 3 * q^34 - 12 * q^37 - 24 * q^38 - 30 * q^39 + 15 * q^41 + 12 * q^42 - 60 * q^43 + 12 * q^44 - 6 * q^46 + 6 * q^47 + 3 * q^48 - 27 * q^49 - 6 * q^51 - 6 * q^52 + 12 * q^53 - 9 * q^54 + 6 * q^55 + 45 * q^57 + 3 * q^58 - 27 * q^59 - 3 * q^60 - 9 * q^62 + 18 * q^63 - 9 * q^64 - 3 * q^65 - 9 * q^66 - 54 * q^67 + 12 * q^68 - 6 * q^69 + 9 * q^70 + 36 * q^71 - 6 * q^72 - 6 * q^73 + 18 * q^74 - 6 * q^75 - 3 * q^76 - 24 * q^77 + 12 * q^78 + 12 * q^79 - 18 * q^80 - 6 * q^81 + 3 * q^82 - 15 * q^83 - 6 * q^84 + 6 * q^85 + 30 * q^87 - 15 * q^88 + 84 * q^89 + 6 * q^90 + 12 * q^91 - 12 * q^92 - 18 * q^93 + 36 * q^94 - 24 * q^95 - 9 * q^97 - 30 * q^99

Introduction

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