LMFDB - Embedded newform 95.2.k.a.66.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(6,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 14]))

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

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

chi := DirichletCharacter("95.6");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.k (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:	$0.758578819202$
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} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} + \cdots + 1 $ x^18 - 3x^17 + 15x^16 - 14x^15 + 72x^14 - 51x^13 + 231x^12 - 93x^11 + 438x^10 - 156x^9 + 582x^8 - 138x^7 + 437x^6 - 132x^5 + 198x^4 - 16x^3 + 15x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			66.1
Root			$1.61137 - 2.79097i$ of defining polynomial
Character	$\chi$	$=$	95.66
Dual form			95.2.k.a.36.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.385975 - 2.18897i) q^{2} +(0.794389 - 0.666572i) q^{3} +(-2.76323 + 1.00573i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(-1.76572 - 1.48162i) q^{6} +(1.01254 - 1.75377i) q^{7} +(1.04532 + 1.81055i) q^{8} +(-0.334208 + 1.89539i) q^{9} +O(q^{10})$	\(q+(-0.385975 - 2.18897i) q^{2} +(0.794389 - 0.666572i) q^{3} +(-2.76323 + 1.00573i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(-1.76572 - 1.48162i) q^{6} +(1.01254 - 1.75377i) q^{7} +(1.04532 + 1.81055i) q^{8} +(-0.334208 + 1.89539i) q^{9} +(-0.385975 + 2.18897i) q^{10} +(-0.0424078 - 0.0734524i) q^{11} +(-1.52469 + 2.64084i) q^{12} +(4.38252 + 3.67737i) q^{13} +(-4.22977 - 1.53951i) q^{14} +(-0.974463 + 0.354675i) q^{15} +(-0.945441 + 0.793319i) q^{16} +(-0.439455 - 2.49227i) q^{17} +4.27795 q^{18} +(3.21565 - 2.94271i) q^{19} +2.94057 q^{20} +(-0.364663 - 2.06811i) q^{21} +(-0.144417 + 0.121180i) q^{22} +(0.290447 - 0.105714i) q^{23} +(2.03725 + 0.741500i) q^{24} +(0.766044 + 0.642788i) q^{25} +(6.35811 - 11.0126i) q^{26} +(2.55342 + 4.42266i) q^{27} +(-1.03406 + 5.86442i) q^{28} +(0.455678 - 2.58428i) q^{29} +(1.15249 + 1.99617i) q^{30} +(-4.03639 + 6.99123i) q^{31} +(5.30452 + 4.45102i) q^{32} +(-0.0826495 - 0.0300820i) q^{33} +(-5.28589 + 1.92391i) q^{34} +(-1.55130 + 1.30170i) q^{35} +(-0.982763 - 5.57352i) q^{36} -5.01303 q^{37} +(-7.68268 - 5.90316i) q^{38} +5.93265 q^{39} +(-0.363036 - 2.05888i) q^{40} +(-4.50461 + 3.77982i) q^{41} +(-4.38627 + 1.59647i) q^{42} +(-0.611288 - 0.222491i) q^{43} +(0.191056 + 0.160315i) q^{44} +(0.962314 - 1.66678i) q^{45} +(-0.343511 - 0.594978i) q^{46} +(1.19865 - 6.79791i) q^{47} +(-0.222244 + 1.26041i) q^{48} +(1.44953 + 2.51066i) q^{49} +(1.11137 - 1.92495i) q^{50} +(-2.01037 - 1.68690i) q^{51} +(-15.8084 - 5.75378i) q^{52} +(-13.6767 + 4.97790i) q^{53} +(8.69551 - 7.29640i) q^{54} +(0.0147281 + 0.0835270i) q^{55} +4.23372 q^{56} +(0.592951 - 4.48112i) q^{57} -5.83278 q^{58} +(1.29773 + 7.35981i) q^{59} +(2.33596 - 1.96010i) q^{60} +(-12.5139 + 4.55468i) q^{61} +(16.8615 + 6.13710i) q^{62} +(2.98568 + 2.50528i) q^{63} +(6.46156 - 11.1918i) q^{64} +(-2.86048 - 4.95451i) q^{65} +(-0.0339479 + 0.192528i) q^{66} +(1.54242 - 8.74750i) q^{67} +(3.72088 + 6.44475i) q^{68} +(0.160262 - 0.277582i) q^{69} +(3.44814 + 2.89333i) q^{70} +(13.4720 + 4.90340i) q^{71} +(-3.78105 + 1.37619i) q^{72} +(8.31526 - 6.97733i) q^{73} +(1.93490 + 10.9734i) q^{74} +1.03700 q^{75} +(-5.92601 + 11.3655i) q^{76} -0.171758 q^{77} +(-2.28985 - 12.9864i) q^{78} +(0.0887829 - 0.0744977i) q^{79} +(1.15976 - 0.422116i) q^{80} +(-0.449247 - 0.163512i) q^{81} +(10.0126 + 8.40155i) q^{82} +(1.48776 - 2.57688i) q^{83} +(3.08761 + 5.34790i) q^{84} +(-0.439455 + 2.49227i) q^{85} +(-0.251084 + 1.42397i) q^{86} +(-1.36062 - 2.35666i) q^{87} +(0.0886595 - 0.153563i) q^{88} +(-8.52291 - 7.15157i) q^{89} +(-4.01996 - 1.46314i) q^{90} +(10.8867 - 3.96245i) q^{91} +(-0.696253 + 0.584226i) q^{92} +(1.45369 + 8.24430i) q^{93} -15.3431 q^{94} +(-4.02819 + 1.66543i) q^{95} +7.18078 q^{96} +(-0.0392276 - 0.222471i) q^{97} +(4.93627 - 4.14202i) q^{98} +(0.153394 - 0.0558308i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9} - 3 q^{10} - 18 q^{12} - 3 q^{13} - 12 q^{14} - 3 q^{15} - 3 q^{16} + 24 q^{17} + 48 q^{18} + 12 q^{20} - 21 q^{21} + 9 q^{22} - 9 q^{23} - 15 q^{24} + 3 q^{26} - 24 q^{27} - 12 q^{28} + 15 q^{29} - 12 q^{30} - 18 q^{31} + 15 q^{32} - 33 q^{33} - 12 q^{34} + 75 q^{36} + 36 q^{37} - 33 q^{38} + 36 q^{39} - 6 q^{40} - 30 q^{41} - 9 q^{42} - 36 q^{43} + 42 q^{44} - 6 q^{45} + 9 q^{46} + 21 q^{47} + 33 q^{48} + 9 q^{49} - 6 q^{50} - 45 q^{51} - 39 q^{52} - 12 q^{53} - 66 q^{54} + 3 q^{55} + 72 q^{57} + 12 q^{58} + 18 q^{59} - 3 q^{60} - 30 q^{61} - 24 q^{62} + 54 q^{63} + 36 q^{64} - 9 q^{65} + 39 q^{66} + 51 q^{68} + 15 q^{69} + 33 q^{70} - 12 q^{71} - 66 q^{72} + 24 q^{73} - 15 q^{74} + 18 q^{75} - 33 q^{76} - 60 q^{77} - 48 q^{78} - 51 q^{79} + 15 q^{80} + 27 q^{81} - 15 q^{82} + 48 q^{84} + 24 q^{85} + 63 q^{86} - 15 q^{87} - 27 q^{88} - 54 q^{89} - 9 q^{90} + 30 q^{91} - 42 q^{92} + 72 q^{93} + 30 q^{94} + 15 q^{95} - 66 q^{96} + 27 q^{97} - 3 q^{98} - 93 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9 - 3 * q^10 - 18 * q^12 - 3 * q^13 - 12 * q^14 - 3 * q^15 - 3 * q^16 + 24 * q^17 + 48 * q^18 + 12 * q^20 - 21 * q^21 + 9 * q^22 - 9 * q^23 - 15 * q^24 + 3 * q^26 - 24 * q^27 - 12 * q^28 + 15 * q^29 - 12 * q^30 - 18 * q^31 + 15 * q^32 - 33 * q^33 - 12 * q^34 + 75 * q^36 + 36 * q^37 - 33 * q^38 + 36 * q^39 - 6 * q^40 - 30 * q^41 - 9 * q^42 - 36 * q^43 + 42 * q^44 - 6 * q^45 + 9 * q^46 + 21 * q^47 + 33 * q^48 + 9 * q^49 - 6 * q^50 - 45 * q^51 - 39 * q^52 - 12 * q^53 - 66 * q^54 + 3 * q^55 + 72 * q^57 + 12 * q^58 + 18 * q^59 - 3 * q^60 - 30 * q^61 - 24 * q^62 + 54 * q^63 + 36 * q^64 - 9 * q^65 + 39 * q^66 + 51 * q^68 + 15 * q^69 + 33 * q^70 - 12 * q^71 - 66 * q^72 + 24 * q^73 - 15 * q^74 + 18 * q^75 - 33 * q^76 - 60 * q^77 - 48 * q^78 - 51 * q^79 + 15 * q^80 + 27 * q^81 - 15 * q^82 + 48 * q^84 + 24 * q^85 + 63 * q^86 - 15 * q^87 - 27 * q^88 - 54 * q^89 - 9 * q^90 + 30 * q^91 - 42 * q^92 + 72 * q^93 + 30 * q^94 + 15 * q^95 - 66 * q^96 + 27 * q^97 - 3 * q^98 - 93 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$1$

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 $

$2$	−0.385975	−	2.18897i	−0.272925	−	1.54784i	−0.745476	−	0.666533i	$-0.767778\pi$
$2$	−0.385975	−	2.18897i	−0.272925	−	1.54784i	0.472551	−	0.881304i	$-0.343333\pi$
$3$	0.794389	−	0.666572i	0.458641	−	0.384845i	−0.383990	−	0.923337i	$-0.625450\pi$
$3$	0.794389	−	0.666572i	0.458641	−	0.384845i	0.842631	+	0.538492i	$0.181006\pi$
$4$	−2.76323	+	1.00573i	−1.38162	+	0.502867i
$5$	−0.939693	−	0.342020i	−0.420243	−	0.152956i
$5$	−0.939693	−	0.342020i	−0.420243	−	0.152956i
$6$	−1.76572	−	1.48162i	−0.720852	−	0.604867i
$7$	1.01254	−	1.75377i	0.382704	−	0.662863i	−0.608744	−	0.793367i	$-0.708326\pi$
$7$	1.01254	−	1.75377i	0.382704	−	0.662863i	0.991448	+	0.130504i	$0.0416596\pi$
$8$	1.04532	+	1.81055i	0.369577	+	0.640126i
$9$	−0.334208	+	1.89539i	−0.111403	+	0.631796i
$10$	−0.385975	+	2.18897i	−0.122056	+	0.692213i
$11$	−0.0424078	−	0.0734524i	−0.0127864	−	0.0221467i	0.859561	−	0.511032i	$-0.170737\pi$
$11$	−0.0424078	−	0.0734524i	−0.0127864	−	0.0221467i	−0.872348	+	0.488886i	$0.837403\pi$
$12$	−1.52469	+	2.64084i	−0.440139	+	0.762344i
$13$	4.38252	+	3.67737i	1.21549	+	1.01992i	0.999048	+	0.0436233i	$0.0138901\pi$
$13$	4.38252	+	3.67737i	1.21549	+	1.01992i	0.216443	+	0.976295i	$0.430554\pi$
$14$	−4.22977	−	1.53951i	−1.13045	−	0.411451i
$15$	−0.974463	+	0.354675i	−0.251605	+	0.0915768i
$16$	−0.945441	+	0.793319i	−0.236360	+	0.198330i
$17$	−0.439455	−	2.49227i	−0.106583	−	0.604464i	−0.990576	−	0.136964i	$-0.956266\pi$
$17$	−0.439455	−	2.49227i	−0.106583	−	0.604464i	0.883993	−	0.467501i	$-0.154845\pi$
$18$	4.27795			1.00832
$19$	3.21565	−	2.94271i	0.737722	−	0.675105i
$19$	3.21565	−	2.94271i	0.737722	−	0.675105i
$20$	2.94057			0.657532
$21$	−0.364663	−	2.06811i	−0.0795760	−	0.451298i
$22$	−0.144417	+	0.121180i	−0.0307898	+	0.0258357i
$23$	0.290447	−	0.105714i	0.0605624	−	0.0220429i	−0.311561	−	0.950226i	$-0.600852\pi$
$23$	0.290447	−	0.105714i	0.0605624	−	0.0220429i	0.372124	+	0.928183i	$0.378630\pi$
$24$	2.03725	+	0.741500i	0.415853	+	0.151358i
$25$	0.766044	+	0.642788i	0.153209	+	0.128558i
$26$	6.35811	−	11.0126i	1.24693	−	2.15974i
$27$	2.55342	+	4.42266i	0.491406	+	0.851141i
$28$	−1.03406	+	5.86442i	−0.195418	+	1.10827i
$29$	0.455678	−	2.58428i	0.0846172	−	0.479888i	−0.912821	−	0.408359i	$-0.866101\pi$
$29$	0.455678	−	2.58428i	0.0846172	−	0.479888i	0.997439	−	0.0715288i	$-0.0227878\pi$
$30$	1.15249	+	1.99617i	0.210415	+	0.364450i
$31$	−4.03639	+	6.99123i	−0.724957	+	1.25566i	0.234035	+	0.972228i	$0.424807\pi$
$31$	−4.03639	+	6.99123i	−0.724957	+	1.25566i	−0.958992	+	0.283434i	$0.908526\pi$
$32$	5.30452	+	4.45102i	0.937716	+	0.786837i
$33$	−0.0826495	−	0.0300820i	−0.0143874	−	0.00523660i
$34$	−5.28589	+	1.92391i	−0.906523	+	0.329947i
$35$	−1.55130	+	1.30170i	−0.262218	+	0.220027i
$36$	−0.982763	−	5.57352i	−0.163794	−	0.928921i
$37$	−5.01303			−0.824136			−0.412068	−	0.911153i	$-0.635193\pi$
$37$	−5.01303			−0.824136			−0.412068	+	0.911153i	$0.635193\pi$
$38$	−7.68268	−	5.90316i	−1.24629	−	0.957619i
$39$	5.93265			0.949985
$40$	−0.363036	−	2.05888i	−0.0574011	−	0.325538i
$41$	−4.50461	+	3.77982i	−0.703502	+	0.590309i	−0.922768	−	0.385357i	$-0.874078\pi$
$41$	−4.50461	+	3.77982i	−0.703502	+	0.590309i	0.219265	+	0.975665i	$0.429634\pi$
$42$	−4.38627	+	1.59647i	−0.676817	+	0.246341i
$43$	−0.611288	−	0.222491i	−0.0932205	−	0.0339295i	0.294989	−	0.955501i	$-0.404684\pi$
$43$	−0.611288	−	0.222491i	−0.0932205	−	0.0339295i	−0.388209	+	0.921571i	$0.626906\pi$
$44$	0.191056	+	0.160315i	0.0288028	+	0.0241684i
$45$	0.962314	−	1.66678i	0.143453	−	0.248468i
$46$	−0.343511	−	0.594978i	−0.0506479	−	0.0877247i
$47$	1.19865	−	6.79791i	0.174842	−	0.991576i	−0.763485	−	0.645826i	$-0.776513\pi$
$47$	1.19865	−	6.79791i	0.174842	−	0.991576i	0.938326	−	0.345751i	$-0.112376\pi$
$48$	−0.222244	+	1.26041i	−0.0320782	+	0.181924i
$49$	1.44953	+	2.51066i	0.207075	+	0.358665i
$50$	1.11137	−	1.92495i	0.157171	−	0.272229i
$51$	−2.01037	−	1.68690i	−0.281509	−	0.236214i
$52$	−15.8084	−	5.75378i	−2.19223	−	0.797905i
$53$	−13.6767	+	4.97790i	−1.87864	+	0.683767i	−0.929659	+	0.368422i	$0.879898\pi$
$53$	−13.6767	+	4.97790i	−1.87864	+	0.683767i	−0.948977	+	0.315345i	$0.897880\pi$
$54$	8.69551	−	7.29640i	1.18331	−	0.992915i
$55$	0.0147281	+	0.0835270i	0.00198593	+	0.0112628i
$56$	4.23372			0.565754
$57$	0.592951	−	4.48112i	0.0785382	−	0.593539i
$58$	−5.83278			−0.765882
$59$	1.29773	+	7.35981i	0.168950	+	0.958166i	0.944897	+	0.327367i	$0.106161\pi$
$59$	1.29773	+	7.35981i	0.168950	+	0.958166i	−0.775947	+	0.630799i	$0.782727\pi$
$60$	2.33596	−	1.96010i	0.301571	−	0.253048i
$61$	−12.5139	+	4.55468i	−1.60224	+	0.583167i	−0.979884	−	0.199567i	$-0.936046\pi$
$61$	−12.5139	+	4.55468i	−1.60224	+	0.583167i	−0.622355	+	0.782735i	$0.713824\pi$
$62$	16.8615	+	6.13710i	2.14142	+	0.779412i
$63$	2.98568	+	2.50528i	0.376160	+	0.315636i
$64$	6.46156	−	11.1918i	0.807695	−	1.39897i
$65$	−2.86048	−	4.95451i	−0.354799	−	0.614531i
$66$	−0.0339479	+	0.192528i	−0.00417870	+	0.0236986i
$67$	1.54242	−	8.74750i	0.188437	−	1.06868i	−0.733023	−	0.680204i	$-0.761891\pi$
$67$	1.54242	−	8.74750i	0.188437	−	1.06868i	0.921460	−	0.388474i	$-0.126998\pi$
$68$	3.72088	+	6.44475i	0.451223	+	0.781541i
$69$	0.160262	−	0.277582i	0.0192933	−	0.0334170i
$70$	3.44814	+	2.89333i	0.412131	+	0.345819i
$71$	13.4720	+	4.90340i	1.59883	+	0.581926i	0.979187	−	0.202958i	$-0.0650556\pi$
$71$	13.4720	+	4.90340i	1.59883	+	0.581926i	0.619642	+	0.784885i	$0.287278\pi$
$72$	−3.78105	+	1.37619i	−0.445601	+	0.162186i
$73$	8.31526	−	6.97733i	0.973227	−	0.816635i	−0.00982664	−	0.999952i	$-0.503128\pi$
$73$	8.31526	−	6.97733i	0.973227	−	0.816635i	0.983054	+	0.183317i	$0.0586835\pi$
$74$	1.93490	+	10.9734i	0.224928	+	1.27563i
$75$	1.03700			0.119743
$76$	−5.92601	+	11.3655i	−0.679760	+	1.30371i
$77$	−0.171758			−0.0195737
$78$	−2.28985	−	12.9864i	−0.259275	−	1.47042i
$79$	0.0887829	−	0.0744977i	0.00998886	−	0.00838165i	−0.637780	−	0.770219i	$-0.720147\pi$
$79$	0.0887829	−	0.0744977i	0.00998886	−	0.00838165i	0.647768	+	0.761837i	$0.275702\pi$
$80$	1.15976	−	0.422116i	0.129665	−	0.0471940i
$81$	−0.449247	−	0.163512i	−0.0499163	−	0.0181681i
$82$	10.0126	+	8.40155i	1.10570	+	0.927796i
$83$	1.48776	−	2.57688i	0.163303	−	0.282849i	−0.772748	−	0.634713i	$-0.781118\pi$
$83$	1.48776	−	2.57688i	0.163303	−	0.282849i	0.936051	+	0.351863i	$0.114452\pi$
$84$	3.08761	+	5.34790i	0.336886	+	0.583504i
$85$	−0.439455	+	2.49227i	−0.0476655	+	0.270325i
$86$	−0.251084	+	1.42397i	−0.0270751	+	0.153550i
$87$	−1.36062	−	2.35666i	−0.145874	−	0.252661i
$88$	0.0886595	−	0.153563i	0.00945113	−	0.0163698i
$89$	−8.52291	−	7.15157i	−0.903427	−	0.758065i	0.0674305	−	0.997724i	$-0.478520\pi$
$89$	−8.52291	−	7.15157i	−0.903427	−	0.758065i	−0.970857	+	0.239659i	$0.922964\pi$
$90$	−4.01996	−	1.46314i	−0.423740	−	0.154229i
$91$	10.8867	−	3.96245i	1.14124	−	0.415377i
$92$	−0.696253	+	0.584226i	−0.0725894	+	0.0609097i
$93$	1.45369	+	8.24430i	0.150741	+	0.854894i
$94$	−15.3431			−1.58252
$95$	−4.02819	+	1.66543i	−0.413284	+	0.170869i
$96$	7.18078			0.732885
$97$	−0.0392276	−	0.222471i	−0.00398296	−	0.0225885i	0.982752	−	0.184931i	$-0.0592062\pi$
$97$	−0.0392276	−	0.222471i	−0.00398296	−	0.0225885i	−0.986734	+	0.162343i	$0.948095\pi$
$98$	4.93627	−	4.14202i	0.498639	−	0.418408i
$99$	0.153394	−	0.0558308i	0.0154167	−	0.00561121i
$100$	−2.76323	−	1.00573i	−0.276323	−	0.100573i
$101$	−9.65322	−	8.10001i	−0.960531	−	0.805981i	0.0205084	−	0.999790i	$-0.493472\pi$
$101$	−9.65322	−	8.10001i	−0.960531	−	0.805981i	−0.981039	+	0.193808i	$0.937916\pi$
$102$	−2.91663	+	5.05175i	−0.288790	+	0.500198i
$103$	−8.86152	−	15.3486i	−0.873152	−	1.51234i	−0.858719	−	0.512447i	$-0.828739\pi$
$103$	−8.86152	−	15.3486i	−0.873152	−	1.51234i	−0.0144333	−	0.999896i	$-0.504594\pi$
$104$	−2.07692	+	11.7788i	−0.203659	+	1.15501i
$105$	−0.364663	+	2.06811i	−0.0355874	+	0.201826i
$106$	16.1753	+	28.0165i	1.57109	+	2.72120i
$107$	−2.54806	+	4.41337i	−0.246330	+	0.426657i	−0.962505	−	0.271265i	$-0.912558\pi$
$107$	−2.54806	+	4.41337i	−0.246330	+	0.426657i	0.716174	+	0.697921i	$0.245891\pi$
$108$	−11.5037	−	9.65277i	−1.10695	−	0.928838i
$109$	5.76514	+	2.09834i	0.552200	+	0.200984i	0.603024	−	0.797723i	$-0.293962\pi$
$109$	5.76514	+	2.09834i	0.552200	+	0.200984i	−0.0508237	+	0.998708i	$0.516185\pi$
$110$	0.177153	−	0.0644786i	0.0168909	−	0.00614779i
$111$	−3.98229	+	3.34154i	−0.377983	+	0.317165i
$112$	0.434003	+	2.46135i	0.0410094	+	0.232576i
$113$	11.4316			1.07539			0.537697	−	0.843138i	$-0.319294\pi$
$113$	11.4316			1.07539			0.537697	+	0.843138i	$0.319294\pi$
$114$	−10.0379	+	0.431649i	−0.940137	+	0.0404276i
$115$	−0.309088			−0.0288226
$116$	1.33995	+	7.59925i	0.124411	+	0.705572i
$117$	−8.43472	+	7.07757i	−0.779790	+	0.654321i
$118$	15.6095	−	5.68140i	1.43697	−	0.523015i
$119$	−4.81583	−	1.75282i	−0.441467	−	0.160681i
$120$	−1.66078	−	1.39356i	−0.151608	−	0.127214i
$121$	5.49640	−	9.52005i	0.499673	−	0.865459i
$122$	14.8001	+	25.6345i	1.33994	+	2.32084i
$123$	−1.05890	+	6.00529i	−0.0954774	+	0.541479i
$124$	4.12216	−	23.3779i	0.370181	−	2.09940i
$125$	−0.500000	−	0.866025i	−0.0447214	−	0.0774597i
$126$	4.33159	−	7.50253i	0.385889	−	0.668379i
$127$	−1.10293	−	0.925472i	−0.0978696	−	0.0821224i	0.592540	−	0.805541i	$-0.298125\pi$
$127$	−1.10293	−	0.925472i	−0.0978696	−	0.0821224i	−0.690410	+	0.723419i	$0.742570\pi$
$128$	−13.9785	−	5.08776i	−1.23554	−	0.449699i
$129$	−0.633906	+	0.230723i	−0.0558123	+	0.0203140i
$130$	−9.74119	+	8.17383i	−0.854359	+	0.716892i
$131$	−0.174248	−	0.988207i	−0.0152241	−	0.0863400i	0.976249	−	0.216651i	$-0.0695135\pi$
$131$	−0.174248	−	0.988207i	−0.0152241	−	0.0863400i	−0.991473	+	0.130311i	$0.958402\pi$
$132$	0.258634			0.0225112
$133$	−1.90487	−	8.61913i	−0.165173	−	0.747373i
$134$	−19.7434			−1.70557
$135$	−0.886795	−	5.02926i	−0.0763231	−	0.432850i
$136$	4.05301	−	3.40088i	0.347543	−	0.291623i
$137$	9.81678	−	3.57301i	0.838704	−	0.305263i	0.113278	−	0.993563i	$-0.463865\pi$
$137$	9.81678	−	3.57301i	0.838704	−	0.305263i	0.725426	+	0.688300i	$0.241643\pi$
$138$	−0.669476	−	0.243669i	−0.0569896	−	0.0207425i
$139$	8.18488	+	6.86793i	0.694233	+	0.582530i	0.920126	−	0.391622i	$-0.128086\pi$
$139$	8.18488	+	6.86793i	0.694233	+	0.582530i	−0.225894	+	0.974152i	$0.572530\pi$
$140$	2.97744	−	5.15708i	0.251640	−	0.435853i
$141$	−3.57909	−	6.19917i	−0.301414	−	0.522064i
$142$	5.53355	−	31.3823i	0.464366	−	2.63355i
$143$	0.0842588	−	0.477855i	0.00704607	−	0.0399603i
$144$	−1.18767	−	2.05711i	−0.0989729	−	0.171426i
$145$	−1.31207	+	2.27257i	−0.108962	+	0.188727i
$146$	−18.4826	−	15.5088i	−1.52963	−	1.28352i
$147$	2.82502	+	1.02822i	0.233004	+	0.0848064i
$148$	13.8522	−	5.04177i	1.13864	−	0.414431i
$149$	−3.86440	+	3.24262i	−0.316584	+	0.265645i	−0.787207	−	0.616689i	$-0.788474\pi$
$149$	−3.86440	+	3.24262i	−0.316584	+	0.265645i	0.470623	+	0.882334i	$0.344029\pi$
$150$	−0.400256	−	2.26997i	−0.0326808	−	0.185342i
$151$	20.8114			1.69360			0.846802	−	0.531909i	$-0.178525\pi$
$151$	20.8114			1.69360			0.846802	+	0.531909i	$0.178525\pi$
$152$	8.68933	+	2.74602i	0.704797	+	0.222732i
$153$	4.87069			0.393772
$154$	0.0662943	+	0.375974i	0.00534214	+	0.0302968i
$155$	6.18410	−	5.18908i	0.496719	−	0.416797i
$156$	−16.3933	+	5.96667i	−1.31251	+	0.477716i
$157$	−22.1916	−	8.07709i	−1.77108	−	0.644622i	−0.999969	−	0.00792593i	$-0.997477\pi$
$157$	−22.1916	−	8.07709i	−1.77108	−	0.644622i	−0.771115	−	0.636696i	$-0.780301\pi$
$158$	−0.197341	−	0.165589i	−0.0156996	−	0.0131736i
$159$	−7.54647	+	13.0709i	−0.598474	+	1.03659i
$160$	−3.46228	−	5.99684i	−0.273717	−	0.474092i
$161$	0.108691	−	0.616417i	0.00856605	−	0.0485805i
$162$	−0.184526	+	1.04650i	−0.0144977	+	0.0822208i
$163$	0.106766	+	0.184925i	0.00836258	+	0.0144844i	0.870176	−	0.492740i	$-0.164005\pi$
$163$	0.106766	+	0.184925i	0.00836258	+	0.0144844i	−0.861814	+	0.507225i	$0.830671\pi$
$164$	8.64580	−	14.9750i	0.675124	−	1.16935i
$165$	0.0673765	+	0.0565356i	0.00524525	+	0.00440129i
$166$	−6.21495	−	2.26206i	−0.482374	−	0.175570i
$167$	−18.5353	+	6.74630i	−1.43431	+	0.522045i	−0.938162	−	0.346196i	$-0.887473\pi$
$167$	−18.5353	+	6.74630i	−1.43431	+	0.522045i	−0.496144	+	0.868240i	$0.665251\pi$
$168$	3.36322	−	2.82208i	0.259478	−	0.217728i
$169$	3.42599	+	19.4298i	0.263538	+	1.49460i
$170$	5.62513			0.431428
$171$	4.50289	+	7.07839i	0.344345	+	0.541298i
$172$	1.91290			0.145857
$173$	2.18361	+	12.3839i	0.166017	+	0.941527i	0.948010	+	0.318240i	$0.103092\pi$
$173$	2.18361	+	12.3839i	0.166017	+	0.941527i	−0.781993	+	0.623287i	$0.785797\pi$
$174$	−4.63350	+	3.88797i	−0.351265	+	0.294746i
$175$	1.90295	−	0.692618i	0.143850	−	0.0523570i
$176$	0.0983652	+	0.0358020i	0.00741456	+	0.00269868i
$177$	5.93675	+	4.98152i	0.446233	+	0.374434i
$178$	−12.3650	+	21.4167i	−0.926792	+	1.60525i
$179$	5.40914	+	9.36891i	0.404298	+	0.700265i	0.994240	−	0.107181i	$-0.0341825\pi$
$179$	5.40914	+	9.36891i	0.404298	+	0.700265i	−0.589941	+	0.807446i	$0.700849\pi$
$180$	−0.982763	+	5.57352i	−0.0732508	+	0.415426i
$181$	−0.939769	+	5.32969i	−0.0698524	+	0.396153i	0.929756	+	0.368176i	$0.120018\pi$
$181$	−0.939769	+	5.32969i	−0.0698524	+	0.396153i	−0.999609	+	0.0279769i	$0.991094\pi$
$182$	−12.8757	−	22.3013i	−0.954409	−	1.65308i
$183$	−6.90488	+	11.9596i	−0.510423	+	0.884079i
$184$	0.495012	+	0.415364i	0.0364927	+	0.0306210i
$185$	4.71070	+	1.71456i	0.346338	+	0.126057i
$186$	17.4854	−	6.36418i	1.28209	−	0.466644i
$187$	−0.164427	+	0.137971i	−0.0120241	+	0.0100894i
$188$	3.52473	+	19.9897i	0.257067	+	1.45790i
$189$	10.3418			0.752253
$190$	5.20036	+	8.17479i	0.377273	+	0.593061i
$191$	4.87144			0.352485			0.176243	−	0.984347i	$-0.443606\pi$
$191$	4.87144			0.352485			0.176243	+	0.984347i	$0.443606\pi$
$192$	−2.32711	−	13.1977i	−0.167945	−	0.952462i
$193$	−1.06031	+	0.889706i	−0.0763228	+	0.0640424i	−0.680151	−	0.733072i	$-0.738086\pi$
$193$	−1.06031	+	0.889706i	−0.0763228	+	0.0640424i	0.603828	+	0.797115i	$0.293641\pi$
$194$	−0.471841	+	0.171736i	−0.0338762	+	0.0123299i
$195$	−5.57487	−	2.02909i	−0.399225	−	0.145306i
$196$	−6.53044	−	5.47969i	−0.466460	−	0.391406i
$197$	−3.20375	+	5.54906i	−0.228258	+	0.395354i	−0.957292	−	0.289123i	$-0.906636\pi$
$197$	−3.20375	+	5.54906i	−0.228258	+	0.395354i	0.729034	+	0.684477i	$0.239970\pi$
$198$	−0.181418	−	0.314225i	−0.0128928	−	0.0223310i
$199$	2.71594	−	15.4029i	0.192528	−	1.09188i	−0.723367	−	0.690464i	$-0.757406\pi$
$199$	2.71594	−	15.4029i	0.192528	−	1.09188i	0.915895	−	0.401418i	$-0.131482\pi$
$200$	−0.363036	+	2.05888i	−0.0256706	+	0.145585i
$201$	−4.60555	−	7.97705i	−0.324851	−	0.562658i
$202$	−14.0048	+	24.2570i	−0.985374	+	1.70672i
$203$	−4.07083	−	3.41583i	−0.285716	−	0.239745i
$204$	7.25171	+	2.63941i	0.507721	+	0.184795i
$205$	5.52573	−	2.01120i	0.385933	−	0.140468i
$206$	−30.1773	+	25.3218i	−2.10255	+	1.76425i
$207$	0.103300	+	0.585841i	0.00717982	+	0.0407188i
$208$	−7.06074			−0.489574
$209$	−0.352518	−	0.111404i	−0.0243842	−	0.00770594i
$210$	4.66777			0.322107
$211$	1.33429	+	7.56711i	0.0918560	+	0.520941i	0.995666	+	0.0930062i	$0.0296477\pi$
$211$	1.33429	+	7.56711i	0.0918560	+	0.520941i	−0.903810	+	0.427935i	$0.859241\pi$
$212$	32.7854	−	27.5102i	2.25171	−	1.88941i
$213$	13.9705	−	5.08483i	0.957240	−	0.348407i
$214$	10.6442	+	3.87418i	0.727625	+	0.264834i
$215$	0.498326	+	0.418145i	0.0339856	+	0.0285173i
$216$	−5.33830	+	9.24620i	−0.363225	+	0.629124i
$217$	8.17400	+	14.1578i	0.554887	+	0.961093i
$218$	2.36800	−	13.4296i	0.160382	−	0.909569i
$219$	1.95466	−	11.0854i	0.132084	−	0.749084i
$220$	−0.124703	−	0.215992i	−0.00840747	−	0.0145622i
$221$	7.23908	−	12.5385i	0.486953	−	0.843428i
$222$	8.85160	+	7.42737i	0.594080	+	0.498493i
$223$	−2.33040	−	0.848195i	−0.156055	−	0.0567993i	0.262812	−	0.964847i	$-0.415350\pi$
$223$	−2.33040	−	0.848195i	−0.156055	−	0.0567993i	−0.418866	+	0.908048i	$0.637572\pi$
$224$	13.1771	−	4.79607i	0.880432	−	0.320451i
$225$	−1.47435	+	1.23713i	−0.0982901	+	0.0824751i
$226$	−4.41231	−	25.0234i	−0.293502	−	1.66453i
$227$	−0.453554			−0.0301034			−0.0150517	−	0.999887i	$-0.504791\pi$
$227$	−0.453554			−0.0301034			−0.0150517	+	0.999887i	$0.504791\pi$
$228$	2.86836	+	12.9787i	0.189962	+	0.859538i
$229$	0.993282			0.0656379			0.0328190	−	0.999461i	$-0.489552\pi$
$229$	0.993282			0.0656379			0.0328190	+	0.999461i	$0.489552\pi$
$230$	0.119300	+	0.676584i	0.00786641	+	0.0446126i
$231$	−0.136443	+	0.114489i	−0.00897727	+	0.00753283i
$232$	5.15529	−	1.87637i	0.338461	−	0.123190i
$233$	4.00611	+	1.45810i	0.262449	+	0.0955236i	0.469893	−	0.882723i	$-0.344292\pi$
$233$	4.00611	+	1.45810i	0.262449	+	0.0955236i	−0.207444	+	0.978247i	$0.566515\pi$
$234$	18.7482	+	15.7316i	1.22561	+	1.02841i
$235$	−3.45139	+	5.97798i	−0.225144	+	0.389960i
$236$	−10.9880	−	19.0317i	−0.715255	−	1.23886i
$237$	0.0208701	−	0.118360i	0.00135566	−	0.00768833i
$238$	−1.97808	+	11.2183i	−0.128220	+	0.727172i
$239$	−12.2291	−	21.1815i	−0.791037	−	1.37012i	−0.925325	−	0.379175i	$-0.876208\pi$
$239$	−12.2291	−	21.1815i	−0.791037	−	1.37012i	0.134288	−	0.990942i	$-0.457125\pi$
$240$	0.639926	−	1.10838i	0.0413071	−	0.0715459i
$241$	3.36665	+	2.82495i	0.216865	+	0.181971i	0.744748	−	0.667346i	$-0.232570\pi$
$241$	3.36665	+	2.82495i	0.216865	+	0.181971i	−0.527883	+	0.849317i	$0.677014\pi$
$242$	−22.9606	−	8.35697i	−1.47596	−	0.537206i
$243$	−14.8625	+	5.40950i	−0.953428	+	0.347019i
$244$	29.9980	−	25.1713i	1.92042	−	1.61143i
$245$	−0.503416	−	2.85501i	−0.0321621	−	0.182400i
$246$	13.5541			0.864179
$247$	24.9141	−	1.07135i	1.58525	−	0.0681685i
$248$	−16.8773			−1.07171
$249$	−0.535813	−	3.03875i	−0.0339558	−	0.192573i
$250$	−1.70272	+	1.42875i	−0.107689	+	0.0903620i
$251$	0.364101	−	0.132522i	0.0229818	−	0.00836471i	−0.330504	−	0.943805i	$-0.607219\pi$
$251$	0.364101	−	0.132522i	0.0229818	−	0.00836471i	0.353485	+	0.935440i	$0.384996\pi$
$252$	−10.7698	−	3.91987i	−0.678431	−	0.246929i
$253$	−0.0200822	−	0.0168509i	−0.00126256	−	0.00105941i
$254$	−1.60013	+	2.77150i	−0.100401	+	0.173899i
$255$	1.31218	+	2.27276i	0.0821718	+	0.142326i
$256$	−1.25346	+	7.10870i	−0.0783410	+	0.444294i
$257$	−0.495411	+	2.80962i	−0.0309029	+	0.175259i	−0.996353	−	0.0853298i	$-0.972806\pi$
$257$	−0.495411	+	2.80962i	−0.0309029	+	0.175259i	0.965450	+	0.260589i	$0.0839167\pi$
$258$	0.749718	+	1.29855i	0.0466754	+	0.0808441i
$259$	−5.07589	+	8.79169i	−0.315400	+	0.546289i
$260$	12.8871	+	10.8136i	0.799224	+	0.670629i
$261$	4.74592	+	1.72737i	0.293765	+	0.106922i
$262$	−2.09590	+	0.762846i	−0.129485	+	0.0471288i
$263$	−8.27900	+	6.94691i	−0.510505	+	0.428365i	−0.861307	−	0.508085i	$-0.830354\pi$
$263$	−8.27900	+	6.94691i	−0.510505	+	0.428365i	0.350802	+	0.936450i	$0.385909\pi$
$264$	−0.0319304	−	0.181086i	−0.00196518	−	0.0111451i
$265$	14.5544			0.894070
$266$	−18.1318	+	7.49647i	−1.11173	+	0.459638i
$267$	−11.5375			−0.706086
$268$	4.53560	+	25.7226i	0.277056	+	1.57126i
$269$	2.12780	−	1.78544i	0.129734	−	0.108860i	−0.575612	−	0.817723i	$-0.695236\pi$
$269$	2.12780	−	1.78544i	0.129734	−	0.108860i	0.705346	+	0.708863i	$0.250792\pi$
$270$	−10.6666	+	3.88233i	−0.649150	+	0.236271i
$271$	−13.9661	−	5.08325i	−0.848381	−	0.308785i	−0.119001	−	0.992894i	$-0.537969\pi$
$271$	−13.9661	−	5.08325i	−0.848381	−	0.308785i	−0.729380	+	0.684109i	$0.760191\pi$
$272$	2.39264	+	2.00767i	0.145075	+	0.121733i
$273$	6.00705	−	10.4045i	0.363563	−	0.629709i
$274$	−11.6103	−	20.1095i	−0.701401	−	1.21486i
$275$	0.0147281	−	0.0835270i	0.000888135	−	0.00503687i
$276$	−0.163668	+	0.928205i	−0.00985163	+	0.0558714i
$277$	−9.04379	−	15.6643i	−0.543389	−	0.941177i	−0.998706	−	0.0508480i	$-0.983808\pi$
$277$	−9.04379	−	15.6643i	−0.543389	−	0.941177i	0.455318	−	0.890329i	$-0.349526\pi$
$278$	11.8745	−	20.5673i	0.712188	−	1.23355i
$279$	−11.9021	−	9.98705i	−0.712560	−	0.597909i
$280$	−3.97839	−	1.44802i	−0.237754	−	0.0865356i
$281$	3.65001	−	1.32850i	0.217741	−	0.0792514i	−0.230846	−	0.972990i	$-0.574149\pi$
$281$	3.65001	−	1.32850i	0.217741	−	0.0792514i	0.448588	+	0.893739i	$0.351927\pi$
$282$	−12.1884	+	10.2273i	−0.725807	+	0.609024i
$283$	−3.86993	−	21.9474i	−0.230043	−	1.30464i	−0.852805	−	0.522229i	$-0.825101\pi$
$283$	−3.86993	−	21.9474i	−0.230043	−	1.30464i	0.622762	−	0.782411i	$-0.286010\pi$
$284$	−42.1577			−2.50160
$285$	−2.08983	+	4.00808i	−0.123791	+	0.237418i
$286$	−1.07853			−0.0637750
$287$	2.06783	+	11.7273i	0.122060	+	0.692239i
$288$	−10.2092	+	8.56656i	−0.601585	+	0.504789i
$289$	9.95648	−	3.62386i	0.585675	−	0.213168i
$290$	5.48102	+	1.99493i	0.321857	+	0.117146i
$291$	−0.179455	−	0.150580i	−0.0105198	−	0.00882718i
$292$	−15.9596	+	27.6429i	−0.933968	+	1.61768i
$293$	12.2257	+	21.1755i	0.714232	+	1.23709i	0.963255	+	0.268589i	$0.0865572\pi$
$293$	12.2257	+	21.1755i	0.714232	+	1.23709i	−0.249023	+	0.968498i	$0.580109\pi$
$294$	1.16037	−	6.58076i	0.0676739	−	0.383798i
$295$	1.29773	−	7.35981i	0.0755570	−	0.428505i
$296$	−5.24022	−	9.07633i	−0.304582	−	0.527551i
$297$	0.216570	−	0.375110i	0.0125667	−	0.0217661i
$298$	8.58955	+	7.20749i	0.497580	+	0.417519i
$299$	1.66164	+	0.604788i	0.0960951	+	0.0349758i
$300$	−2.86548	+	1.04295i	−0.165438	+	0.0602146i
$301$	−1.00915	+	0.846777i	−0.0581664	+	0.0488074i
$302$	−8.03265	−	45.5554i	−0.462227	−	2.62142i
$303$	−13.0676			−0.750717
$304$	−0.705699	+	5.33320i	−0.0404746	+	0.305880i
$305$	13.3170			0.762529
$306$	−1.87996	−	10.6618i	−0.107470	−	0.609495i
$307$	4.92198	−	4.13004i	0.280913	−	0.235714i	−0.491434	−	0.870915i	$-0.663527\pi$
$307$	4.92198	−	4.13004i	0.280913	−	0.235714i	0.772347	+	0.635201i	$0.219083\pi$
$308$	0.474608	−	0.172743i	0.0270433	−	0.00984295i
$309$	−17.2704	−	6.28593i	−0.982481	−	0.357594i
$310$	−13.7457	−	11.5340i	−0.780701	−	0.655086i
$311$	8.78200	−	15.2109i	0.497982	−	0.862529i	−0.502016	−	0.864858i	$-0.667408\pi$
$311$	8.78200	−	15.2109i	0.497982	−	0.862529i	0.999997	+	0.00232912i	$0.000741383\pi$
$312$	6.20153	+	10.7414i	0.351093	+	0.608110i
$313$	−0.632703	+	3.58824i	−0.0357625	+	0.202819i	−0.997454	−	0.0713155i	$-0.977280\pi$
$313$	−0.632703	+	3.58824i	−0.0357625	+	0.202819i	0.961691	+	0.274135i	$0.0883914\pi$
$314$	−9.11511	+	51.6944i	−0.514395	+	2.91728i
$315$	−1.94876	−	3.37535i	−0.109800	−	0.190180i
$316$	−0.170403	+	0.295146i	−0.00958591	+	0.0166033i
$317$	3.44644	+	2.89191i	0.193571	+	0.162426i	0.734422	−	0.678693i	$-0.237453\pi$
$317$	3.44644	+	2.89191i	0.193571	+	0.162426i	−0.540851	+	0.841118i	$0.681898\pi$
$318$	31.5245	+	11.4740i	1.76781	+	0.643429i
$319$	−0.209145	+	0.0761227i	−0.0117099	+	0.00426205i
$320$	−9.89969	+	8.30682i	−0.553409	+	0.464365i
$321$	0.917676	+	5.20440i	0.0512197	+	0.290481i
$322$	−1.39127			−0.0775325
$323$	−8.74717	−	6.72109i	−0.486706	−	0.373972i
$324$	1.40582			0.0781013
$325$	0.993436	+	5.63406i	0.0551059	+	0.312521i
$326$	0.363586	−	0.305085i	0.0201371	−	0.0168971i
$327$	5.97845	−	2.17598i	0.330609	−	0.120332i
$328$	−11.5523	−	4.20470i	−0.637870	−	0.232166i
$329$	−10.7083	−	8.98531i	−0.590366	−	0.495376i
$330$	0.0977492	−	0.169307i	0.00538092	−	0.00932002i
$331$	−17.0501	−	29.5317i	−0.937161	−	1.62321i	−0.770735	−	0.637156i	$-0.780111\pi$
$331$	−17.0501	−	29.5317i	−0.937161	−	1.62321i	−0.166426	−	0.986054i	$-0.553223\pi$
$332$	−1.51938	+	8.61681i	−0.0833866	+	0.472909i
$333$	1.67539	−	9.50163i	0.0918110	−	0.520686i
$334$	21.9216	+	37.9694i	1.19950	+	2.07759i
$335$	−4.44122	+	7.69242i	−0.242650	+	0.420282i
$336$	1.98544	+	1.66598i	0.108314	+	0.0908866i
$337$	0.910498	+	0.331394i	0.0495980	+	0.0180522i	0.366700	−	0.930339i	$-0.380488\pi$
$337$	0.910498	+	0.331394i	0.0495980	+	0.0180522i	−0.317102	+	0.948391i	$0.602710\pi$
$338$	41.2088	−	14.9988i	2.24146	−	0.815827i
$339$	9.08113	−	7.61998i	0.493220	−	0.413860i
$340$	−1.29225	−	7.32870i	−0.0700819	−	0.397454i
$341$	0.684697			0.0370784
$342$	13.7564	−	12.5888i	0.743861	−	0.680723i
$343$	20.0464			1.08240
$344$	−0.236162	−	1.33934i	−0.0127330	−	0.0722124i
$345$	−0.245536	+	0.206029i	−0.0132192	+	0.0110922i
$346$	26.2651	−	9.55971i	1.41202	−	0.513933i
$347$	22.0888	+	8.03967i	1.18579	+	0.431592i	0.858243	−	0.513243i	$-0.171556\pi$
$347$	22.0888	+	8.03967i	1.18579	+	0.431592i	0.327546	+	0.944835i	$0.393778\pi$
$348$	6.12988	+	5.14358i	0.328596	+	0.275725i
$349$	−9.71877	+	16.8334i	−0.520234	+	0.901071i	0.479490	+	0.877548i	$0.340822\pi$
$349$	−9.71877	+	16.8334i	−0.520234	+	0.901071i	−0.999723	+	0.0235237i	$0.992511\pi$
$350$	−2.25061	−	3.89817i	−0.120300	−	0.208366i
$351$	−5.07332	+	28.7723i	−0.270794	+	1.53575i
$352$	0.101985	−	0.578388i	0.00543584	−	0.0308282i
$353$	5.98232	+	10.3617i	0.318407	+	0.551497i	0.980156	−	0.198229i	$-0.0635188\pi$
$353$	5.98232	+	10.3617i	0.318407	+	0.551497i	−0.661749	+	0.749726i	$0.730185\pi$
$354$	8.61297	−	14.9181i	0.457774	−	0.792888i
$355$	−10.9825	−	9.21537i	−0.582888	−	0.489101i
$356$	30.7434	+	11.1897i	1.62939	+	0.593051i
$357$	−4.99403	+	1.81768i	−0.264312	+	0.0962017i
$358$	18.4205	−	15.4566i	0.973552	−	0.816907i
$359$	2.98502	+	16.9289i	0.157543	+	0.893473i	0.956424	+	0.291983i	$0.0943150\pi$
$359$	2.98502	+	16.9289i	0.157543	+	0.893473i	−0.798880	+	0.601490i	$0.794574\pi$
$360$	4.02371			0.212068
$361$	1.68086	−	18.9255i	0.0884664	−	0.996079i
$362$	12.0293			0.632244
$363$	−1.97951	−	11.2264i	−0.103897	−	0.589232i
$364$	−26.0974	+	21.8983i	−1.36788	+	1.14778i
$365$	−10.2002	+	3.71256i	−0.533901	+	0.194324i
$366$	28.8443	+	10.4985i	1.50772	+	0.548764i
$367$	−13.5002	−	11.3280i	−0.704703	−	0.591316i	0.218404	−	0.975858i	$-0.429915\pi$
$367$	−13.5002	−	11.3280i	−0.704703	−	0.591316i	−0.923107	+	0.384542i	$0.874359\pi$
$368$	−0.190736	+	0.330364i	−0.00994279	+	0.0172214i
$369$	−5.65875	−	9.80124i	−0.294583	−	0.510232i
$370$	1.93490	−	10.9734i	0.100591	−	0.570478i
$371$	−5.11808	+	29.0261i	−0.265717	+	1.50696i
$372$	−12.3085	−	21.3189i	−0.638164	−	1.10533i
$373$	1.32738	−	2.29909i	0.0687292	−	0.119042i	−0.829613	−	0.558339i	$-0.811439\pi$
$373$	1.32738	−	2.29909i	0.0687292	−	0.119042i	0.898342	+	0.439296i	$0.144772\pi$
$374$	0.365478	+	0.306673i	0.0188984	+	0.0158577i
$375$	−0.974463	−	0.354675i	−0.0503210	−	0.0183154i
$376$	13.5609	−	4.93577i	0.699352	−	0.254543i
$377$	11.5003	−	9.64994i	0.592298	−	0.496997i
$378$	−3.99166	−	22.6378i	−0.205309	−	1.16436i
$379$	−18.9795			−0.974909			−0.487455	−	0.873148i	$-0.662075\pi$
$379$	−18.9795			−0.974909			−0.487455	+	0.873148i	$0.662075\pi$
$380$	9.45586	−	8.65326i	0.485075	−	0.443903i
$381$	−1.49305			−0.0764914
$382$	−1.88025	−	10.6634i	−0.0962021	−	0.545589i
$383$	−9.13777	+	7.66750i	−0.466918	+	0.391791i	−0.845669	−	0.533708i	$-0.820798\pi$
$383$	−9.13777	+	7.66750i	−0.466918	+	0.391791i	0.378751	+	0.925499i	$0.376354\pi$
$384$	−14.4957	+	5.27601i	−0.739732	+	0.269240i
$385$	0.161400	+	0.0587447i	0.00822570	+	0.00299391i
$386$	2.35679	+	1.97758i	0.119958	+	0.100656i
$387$	0.626003	−	1.08427i	0.0318215	−	0.0551165i
$388$	0.332142	+	0.575286i	0.0168619	+	0.0292057i
$389$	−1.69579	+	9.61728i	−0.0859798	+	0.487616i	0.911161	+	0.412050i	$0.135187\pi$
$389$	−1.69579	+	9.61728i	−0.0859798	+	0.487616i	−0.997141	+	0.0755652i	$0.975924\pi$
$390$	−2.28985	+	12.9864i	−0.115951	+	0.657592i
$391$	−0.391107	−	0.677417i	−0.0197791	−	0.0342584i
$392$	−3.03045	+	5.24889i	−0.153061	+	0.265109i
$393$	−0.797131	−	0.668872i	−0.0402099	−	0.0337401i
$394$	13.3833	+	4.87112i	0.674240	+	0.245403i
$395$	−0.108908	+	0.0396394i	−0.00547977	+	0.00199447i
$396$	−0.367712	+	0.308547i	−0.0184782	+	0.0155051i
$397$	5.00846	+	28.4044i	0.251368	+	1.42558i	0.805227	+	0.592966i	$0.202043\pi$
$397$	5.00846	+	28.4044i	0.251368	+	1.42558i	−0.553860	+	0.832610i	$0.686846\pi$
$398$	−34.7648			−1.74260
$399$	−7.25847	−	5.57721i	−0.363378	−	0.279210i
$400$	−1.23419			−0.0617093
$401$	1.08900	+	6.17602i	0.0543820	+	0.308416i	0.999850	−	0.0172981i	$-0.00550645\pi$
$401$	1.08900	+	6.17602i	0.0543820	+	0.308416i	−0.945468	+	0.325714i	$0.894395\pi$
$402$	−15.6839	+	13.1604i	−0.782242	+	0.656379i
$403$	−43.3989	+	15.7959i	−2.16185	+	0.786849i
$404$	34.8205	+	12.6736i	1.73239	+	0.630537i
$405$	0.366229	+	0.307303i	0.0181981	+	0.0152700i
$406$	−5.90592	+	10.2294i	−0.293106	+	0.507675i
$407$	0.212591	+	0.368219i	0.0105378	+	0.0182519i
$408$	0.952737	−	5.40324i	0.0471675	−	0.267500i
$409$	1.94902	−	11.0534i	0.0963726	−	0.546556i	−0.897946	−	0.440107i	$-0.854941\pi$
$409$	1.94902	−	11.0534i	0.0963726	−	0.546556i	0.994318	−	0.106450i	$-0.0339483\pi$
$410$	−6.53525	−	11.3194i	−0.322753	−	0.559024i
$411$	5.41667	−	9.38195i	0.267185	−	0.462777i
$412$	39.9231	+	33.4994i	1.96687	+	1.65040i
$413$	14.2214	+	5.17617i	0.699790	+	0.254703i
$414$	1.24252	−	0.452240i	0.0610664	−	0.0222264i
$415$	−2.27938	+	1.91263i	−0.111891	+	0.0938873i
$416$	6.87911	+	39.0134i	0.337276	+	1.91279i
$417$	11.0800			0.542588
$418$	−0.107796	+	0.814651i	−0.00527248	+	0.0398459i
$419$	−26.0754			−1.27387			−0.636934	−	0.770918i	$-0.719798\pi$
$419$	−26.0754			−1.27387			−0.636934	+	0.770918i	$0.719798\pi$
$420$	−1.07232	−	6.08141i	−0.0523237	−	0.296742i
$421$	−19.3507	+	16.2372i	−0.943096	+	0.791351i	−0.978121	−	0.208035i	$-0.933293\pi$
$421$	−19.3507	+	16.2372i	−0.943096	+	0.791351i	0.0350258	+	0.999386i	$0.488849\pi$
$422$	16.0492	−	5.84142i	0.781262	−	0.284356i
$423$	12.4841	+	4.54383i	0.606996	+	0.220929i
$424$	−23.3093	−	19.5588i	−1.13200	−	0.949859i
$425$	1.26536	−	2.19167i	0.0613789	−	0.106311i
$426$	−16.5228	−	28.6183i	−0.800532	−	1.38656i
$427$	−4.68294	+	26.5583i	−0.226623	+	1.28525i
$428$	2.60221	−	14.7578i	0.125782	−	0.713347i
$429$	−0.251591	−	0.435768i	−0.0121469	−	0.0210391i
$430$	0.722967	−	1.25222i	0.0348646	−	0.0603872i
$431$	29.2544	+	24.5474i	1.40914	+	1.18241i	0.956867	+	0.290525i	$0.0938299\pi$
$431$	29.2544	+	24.5474i	1.40914	+	1.18241i	0.452269	+	0.891881i	$0.350615\pi$
$432$	−5.92269	−	2.15568i	−0.284956	−	0.103715i
$433$	−2.46296	+	0.896443i	−0.118362	+	0.0430803i	−0.400522	−	0.916287i	$-0.631171\pi$
$433$	−2.46296	+	0.896443i	−0.118362	+	0.0430803i	0.282160	+	0.959367i	$0.408949\pi$
$434$	27.8360	−	23.3572i	1.33617	−	1.12118i
$435$	0.472538	+	2.67990i	0.0226565	+	0.128491i
$436$	−18.0408			−0.863997
$437$	0.622891	−	1.19464i	0.0297969	−	0.0571476i
$438$	−25.0201			−1.19551
$439$	1.16634	+	6.61462i	0.0556662	+	0.315699i	0.999908	−	0.0135537i	$-0.00431442\pi$
$439$	1.16634	+	6.61462i	0.0556662	+	0.315699i	−0.944242	+	0.329252i	$0.893203\pi$
$440$	−0.135834	+	0.113978i	−0.00647564	+	0.00543371i
$441$	−5.24311	+	1.90834i	−0.249672	+	0.0908732i
$442$	−30.2404	−	11.0066i	−1.43839	−	0.523531i
$443$	−19.9218	−	16.7163i	−0.946511	−	0.794217i	0.0321953	−	0.999482i	$-0.489750\pi$
$443$	−19.9218	−	16.7163i	−0.946511	−	0.794217i	−0.978707	+	0.205264i	$0.934195\pi$
$444$	7.64330	−	13.2386i	0.362735	−	0.628275i
$445$	5.56293	+	9.63528i	0.263708	+	0.456756i
$446$	−0.957200	+	5.42855i	−0.0453247	+	0.257049i
$447$	−0.908401	+	5.15180i	−0.0429659	+	0.243672i
$448$	−13.0852	−	22.6642i	−0.618216	−	1.07078i
$449$	13.7860	−	23.8781i	0.650602	−	1.12688i	−0.332376	−	0.943147i	$-0.607850\pi$
$449$	13.7860	−	23.8781i	0.650602	−	1.12688i	0.982977	−	0.183728i	$-0.0588165\pi$
$450$	3.27710	+	2.74981i	0.154484	+	0.129627i
$451$	0.468667	+	0.170581i	0.0220687	+	0.00803234i
$452$	−31.5882	+	11.4971i	−1.48578	+	0.540780i
$453$	16.5323	−	13.8723i	0.776756	−	0.651775i
$454$	0.175060	+	0.992816i	0.00821598	+	0.0465951i
$455$	−11.5854			−0.543133
$456$	8.73312	−	3.61065i	0.408966	−	0.169084i
$457$	2.22524			0.104092			0.0520462	−	0.998645i	$-0.483426\pi$
$457$	2.22524			0.104092			0.0520462	+	0.998645i	$0.483426\pi$
$458$	−0.383382	−	2.17427i	−0.0179143	−	0.101597i
$459$	9.90035	−	8.30738i	0.462109	−	0.387755i
$460$	0.854081	−	0.310860i	0.0398217	−	0.0144939i
$461$	−19.2217	−	6.99612i	−0.895243	−	0.325842i	−0.146898	−	0.989152i	$-0.546929\pi$
$461$	−19.2217	−	6.99612i	−0.895243	−	0.325842i	−0.748345	+	0.663310i	$0.769151\pi$
$462$	0.303277	+	0.254479i	0.0141097	+	0.0118395i
$463$	16.2150	−	28.0852i	0.753575	−	1.30523i	−0.192505	−	0.981296i	$-0.561661\pi$
$463$	16.2150	−	28.0852i	0.753575	−	1.30523i	0.946080	−	0.323934i	$-0.105006\pi$
$464$	1.61934	+	2.80478i	0.0751760	+	0.130209i
$465$	1.45369	−	8.24430i	0.0674134	−	0.382320i
$466$	1.64549	−	9.33205i	0.0762259	−	0.432299i
$467$	3.46049	+	5.99375i	0.160132	+	0.277357i	0.934916	−	0.354869i	$-0.115475\pi$
$467$	3.46049	+	5.99375i	0.160132	+	0.277357i	−0.774784	+	0.632227i	$0.782141\pi$
$468$	16.1889	−	28.0400i	0.748333	−	1.29615i
$469$	−13.7793	−	11.5622i	−0.636271	−	0.533895i
$470$	14.4178	+	5.24764i	0.665042	+	0.242056i
$471$	−23.0127	+	8.37595i	−1.06037	+	0.385943i
$472$	−11.9688	+	10.0430i	−0.550907	+	0.462266i
$473$	0.00958088	+	0.0543359i	0.000440529	+	0.00249837i
$474$	−0.267143			−0.0122703
$475$	4.35487	−	0.187267i	0.199815	−	0.00859242i
$476$	15.0701			0.690739
$477$	−4.86420	−	27.5863i	−0.222717	−	1.26309i
$478$	−41.6455	+	34.9448i	−1.90482	+	1.59834i
$479$	18.8350	−	6.85539i	0.860594	−	0.313231i	0.126242	−	0.991999i	$-0.459708\pi$
$479$	18.8350	−	6.85539i	0.860594	−	0.313231i	0.734352	+	0.678769i	$0.237486\pi$
$480$	−6.74772	−	2.45597i	−0.307990	−	0.112099i
$481$	−21.9697	−	18.4347i	−1.00173	−	0.840552i
$482$	4.88430	−	8.45985i	0.222474	−	0.385336i
$483$	−0.324543	−	0.562126i	−0.0147672	−	0.0255776i
$484$	−5.61320	+	31.8340i	−0.255145	+	1.44700i
$485$	−0.0392276	+	0.222471i	−0.00178123	+	0.0101019i
$486$	17.5778	+	30.4456i	0.797344	+	1.38104i
$487$	−3.56464	+	6.17413i	−0.161529	+	0.279777i	−0.935417	−	0.353546i	$-0.884976\pi$
$487$	−3.56464	+	6.17413i	−0.161529	+	0.279777i	0.773888	+	0.633322i	$0.218309\pi$
$488$	−21.3275	−	17.8959i	−0.965452	−	0.810110i
$489$	0.208080	+	0.0757348i	0.00940968	+	0.00342484i
$490$	−6.05523	+	2.20392i	−0.273548	+	0.0995632i
$491$	12.6437	−	10.6093i	0.570600	−	0.478790i	−0.311245	−	0.950330i	$-0.600746\pi$
$491$	12.6437	−	10.6093i	0.570600	−	0.478790i	0.881845	+	0.471539i	$0.156302\pi$
$492$	−3.11376	−	17.6590i	−0.140379	−	0.796129i
$493$	−6.64096			−0.299094
$494$	−11.9614	−	54.1227i	−0.538167	−	2.43510i
$495$	−0.163238			−0.00733702
$496$	−1.73011	−	9.81194i	−0.0776842	−	0.440569i
$497$	22.2403	−	18.6619i	0.997615	−	0.837099i
$498$	−6.44491	+	2.34576i	−0.288804	+	0.105116i
$499$	28.5296	+	10.3839i	1.27716	+	0.464848i	0.889491	−	0.456952i	$-0.151059\pi$
$499$	28.5296	+	10.3839i	1.27716	+	0.464848i	0.387667	+	0.921800i	$0.373281\pi$
$500$	2.25261	+	1.89016i	0.100740	+	0.0845306i
$501$	−10.2274	+	17.7143i	−0.456925	+	0.791417i
$502$	−0.430620	−	0.745856i	−0.0192195	−	0.0332892i
$503$	−1.00185	+	5.68175i	−0.0446701	+	0.253337i	−0.998963	−	0.0455375i	$-0.985500\pi$
$503$	−1.00185	+	5.68175i	−0.0446701	+	0.253337i	0.954293	+	0.298874i	$0.0966111\pi$
$504$	−1.41494	+	8.02454i	−0.0630266	+	0.357441i
$505$	6.30069	+	10.9131i	0.280377	+	0.485627i
$506$	−0.0291350	+	0.0504633i	−0.00129521	+	0.00224337i
$507$	15.6729	+	13.1511i	0.696058	+	0.584062i
$508$	3.97844	+	1.44803i	0.176515	+	0.0642462i
$509$	36.5216	−	13.2928i	1.61879	−	0.589191i	0.635638	−	0.771987i	$-0.280737\pi$
$509$	36.5216	−	13.2928i	1.61879	−	0.589191i	0.983151	+	0.182796i	$0.0585147\pi$
$510$	4.46854	−	3.74955i	0.197870	−	0.166033i
$511$	−3.81710	−	21.6479i	−0.168859	−	0.957645i
$512$	−13.7067			−0.605755
$513$	21.2255	+	6.70774i	0.937131	+	0.296154i
$514$	6.34139			0.279707
$515$	3.07757	+	17.4538i	0.135614	+	0.769106i
$516$	1.51958	−	1.27508i	0.0668960	−	0.0561324i
$517$	−0.550155	+	0.200240i	−0.0241958	+	0.00880654i
$518$	21.2039	+	7.71760i	0.931647	+	0.339092i
$519$	9.98936	+	8.38207i	0.438484	+	0.367932i
$520$	5.98025	−	10.3581i	0.262251	−	0.454233i
$521$	18.2553	+	31.6191i	0.799778	+	1.38526i	0.919761	+	0.392480i	$0.128383\pi$
$521$	18.2553	+	31.6191i	0.799778	+	1.38526i	−0.119983	+	0.992776i	$0.538284\pi$
$522$	1.94936	−	11.0554i	0.0853214	−	0.483881i
$523$	4.82917	−	27.3876i	0.211165	−	1.19758i	−0.676274	−	0.736650i	$-0.736407\pi$
$523$	4.82917	−	27.3876i	0.211165	−	1.19758i	0.887439	−	0.460925i	$-0.152482\pi$
$524$	1.47536	+	2.55540i	0.0644514	+	0.111633i
$525$	1.05000	−	1.81866i	0.0458260	−	0.0793729i
$526$	18.4021	+	15.4412i	0.802368	+	0.673267i
$527$	19.1978	+	6.98744i	0.836271	+	0.304378i
$528$	0.102005	−	0.0371267i	0.00443919	−	0.00161573i
$529$	−17.5458	+	14.7227i	−0.762863	+	0.640118i
$530$	−5.61763	−	31.8592i	−0.244014	−	1.38387i
$531$	−14.3834			−0.624187
$532$	13.9321	+	21.9009i	0.604035	+	0.949523i
$533$	−33.6413			−1.45717
$534$	4.45320	+	25.2553i	0.192709	+	1.09291i
$535$	3.90386	−	3.27572i	0.168778	−	0.141622i
$536$	17.4501	−	6.35132i	0.753730	−	0.274335i
$537$	10.5420	+	3.83698i	0.454921	+	0.165578i
$538$	−4.72954	−	3.96856i	−0.203905	−	0.171097i
$539$	0.122942	−	0.212943i	0.00529551	−	0.00917209i
$540$	7.50852	+	13.0051i	0.323115	+	0.559652i
$541$	−4.21069	+	23.8800i	−0.181032	+	1.02668i	0.749917	+	0.661532i	$0.230094\pi$
$541$	−4.21069	+	23.8800i	−0.181032	+	1.02668i	−0.930949	+	0.365150i	$0.881018\pi$
$542$	−5.73652	+	32.5334i	−0.246405	+	1.39743i
$543$	2.80608	+	4.86027i	0.120420	+	0.208574i
$544$	8.76205	−	15.1763i	0.375670	−	0.650679i
$545$	−4.69978	−	3.94359i	−0.201317	−	0.168925i
$546$	−25.0937	−	9.13337i	−1.07391	−	0.390872i
$547$	0.556008	−	0.202370i	0.0237732	−	0.00865274i	−0.330106	−	0.943944i	$-0.607085\pi$
$547$	0.556008	−	0.202370i	0.0237732	−	0.00865274i	0.353879	+	0.935291i	$0.384862\pi$
$548$	−23.5325	+	19.7461i	−1.00526	+	0.843513i
$549$	−4.45065	−	25.2409i	−0.189949	−	1.07726i
$550$	−0.188523			−0.00803864
$551$	−6.13948	−	9.65107i	−0.261551	−	0.411149i
$552$	0.670102			0.0285214
$553$	−0.0407556	−	0.231137i	−0.00173311	−	0.00982893i
$554$	−30.7980	+	25.8426i	−1.30848	+	1.09795i
$555$	4.88501	−	1.77800i	0.207357	−	0.0754717i
$556$	−29.5241	−	10.7459i	−1.25210	−	0.455727i
$557$	−18.9312	−	15.8852i	−0.802142	−	0.673077i	0.146576	−	0.989199i	$-0.453175\pi$
$557$	−18.9312	−	15.8852i	−0.802142	−	0.673077i	−0.948719	+	0.316122i	$0.897619\pi$
$558$	−17.2675	+	29.9081i	−0.730990	+	1.26611i
$559$	−1.86080	−	3.22300i	−0.0787034	−	0.136318i
$560$	0.434003	−	2.46135i	0.0183400	−	0.104011i
$561$	−0.0386517	+	0.219205i	−0.00163188	+	0.00925483i
$562$	−4.31685	−	7.47700i	−0.182095	−	0.315398i
$563$	−5.99775	+	10.3884i	−0.252775	+	0.437819i	−0.964289	−	0.264853i	$-0.914677\pi$
$563$	−5.99775	+	10.3884i	−0.252775	+	0.437819i	0.711514	+	0.702672i	$0.248010\pi$
$564$	16.1246	+	13.5301i	0.678968	+	0.569721i
$565$	−10.7422	−	3.90984i	−0.451927	−	0.164488i
$566$	−46.5486	+	16.9423i	−1.95658	+	0.712138i
$567$	−0.741643	+	0.622313i	−0.0311461	+	0.0261347i
$568$	5.20470	+	29.5173i	0.218384	+	1.23852i
$569$	33.9446			1.42303			0.711517	−	0.702669i	$-0.248009\pi$
$569$	33.9446			1.42303			0.711517	+	0.702669i	$0.248009\pi$
$570$	9.58019	+	3.02755i	0.401270	+	0.126810i
$571$	−3.81177			−0.159518			−0.0797588	−	0.996814i	$-0.525415\pi$
$571$	−3.81177			−0.159518			−0.0797588	+	0.996814i	$0.525415\pi$
$572$	0.247769	+	1.40517i	0.0103597	+	0.0587530i
$573$	3.86982	−	3.24717i	0.161664	−	0.135652i
$574$	24.8725	−	9.05286i	1.03816	−	0.377859i
$575$	0.290447	+	0.105714i	0.0121125	+	0.00440859i
$576$	19.0532	+	15.9875i	0.793884	+	0.666148i
$577$	−0.827198	+	1.43275i	−0.0344367	+	0.0596461i	−0.882730	−	0.469880i	$-0.844297\pi$
$577$	−0.827198	+	1.43275i	−0.0344367	+	0.0596461i	0.848293	+	0.529527i	$0.177630\pi$
$578$	−11.7755	−	20.3957i	−0.489795	−	0.848351i
$579$	−0.249246	+	1.41354i	−0.0103583	+	0.0587449i
$580$	1.33995	−	7.59925i	0.0556385	−	0.315541i
$581$	−3.01284	−	5.21838i	−0.124993	−	0.216495i
$582$	−0.260351	+	0.450941i	−0.0107919	+	0.0186921i
$583$	0.945636	+	0.793483i	0.0391642	+	0.0328627i
$584$	21.3249	+	7.76164i	0.882432	+	0.321179i
$585$	10.3467	−	3.76589i	0.427784	−	0.155701i
$586$	41.6338	−	34.9349i	1.71987	−	1.44315i
$587$	−5.10789	−	28.9683i	−0.210825	−	1.19565i	−0.888006	−	0.459832i	$-0.847909\pi$
$587$	−5.10789	−	28.9683i	−0.210825	−	1.19565i	0.677180	−	0.735817i	$-0.263202\pi$
$588$	−8.84031			−0.364568
$589$	7.59356	+	34.3593i	0.312887	+	1.41575i
$590$	−16.6113			−0.683877
$591$	1.15382	+	6.54364i	0.0474618	+	0.269169i
$592$	4.73952	−	3.97693i	0.194793	−	0.163451i
$593$	−44.0015	+	16.0152i	−1.80693	+	0.657667i	−0.809408	+	0.587247i	$0.800212\pi$
$593$	−44.0015	+	16.0152i	−1.80693	+	0.657667i	−0.997517	+	0.0704204i	$0.977566\pi$
$594$	−0.904695	−	0.329282i	−0.0371201	−	0.0135106i
$595$	3.92590	+	3.29422i	0.160946	+	0.135050i
$596$	7.41702	−	12.8467i	0.303813	−	0.526220i
$597$	−8.10961	−	14.0463i	−0.331904	−	0.574875i
$598$	0.682511	−	3.87071i	0.0279100	−	0.158285i
$599$	2.11359	−	11.9868i	0.0863589	−	0.489765i	−0.910696	−	0.413077i	$-0.864454\pi$
$599$	2.11359	−	11.9868i	0.0863589	−	0.489765i	0.997055	−	0.0766887i	$-0.0244348\pi$
$600$	1.08400	+	1.87754i	0.0442541	+	0.0766504i
$601$	−5.01956	+	8.69414i	−0.204752	+	0.354641i	−0.950054	−	0.312086i	$-0.898972\pi$
$601$	−5.01956	+	8.69414i	−0.204752	+	0.354641i	0.745302	+	0.666728i	$0.232306\pi$
$602$	2.24308	+	1.88217i	0.0914210	+	0.0767113i
$603$	16.0644	+	5.84697i	0.654194	+	0.238107i
$604$	−57.5066	+	20.9307i	−2.33991	+	0.851658i
$605$	−8.42098	+	7.06604i	−0.342361	+	0.287275i
$606$	5.04378	+	28.6047i	0.204890	+	1.16199i
$607$	20.5318			0.833358			0.416679	−	0.909054i	$-0.363194\pi$
$607$	20.5318			0.833358			0.416679	+	0.909054i	$0.363194\pi$
$608$	30.1556	−	1.29675i	1.22297	−	0.0525900i
$609$	−5.51072			−0.223306
$610$	−5.14003	−	29.1505i	−0.208114	−	1.18027i
$611$	30.2515	−	25.3840i	1.22385	−	1.02693i
$612$	−13.4589	+	4.89862i	−0.544042	+	0.198015i
$613$	34.2734	+	12.4745i	1.38429	+	0.503840i	0.923476	−	0.383657i	$-0.125336\pi$
$613$	34.2734	+	12.4745i	1.38429	+	0.503840i	0.460813	+	0.887497i	$0.347558\pi$
$614$	−10.9403	−	9.17999i	−0.441514	−	0.370474i
$615$	3.04897	−	5.28097i	0.122946	−	0.212949i
$616$	−0.179542	−	0.310977i	−0.00723397	−	0.0125296i
$617$	3.71725	−	21.0816i	0.149651	−	0.848712i	−0.813864	−	0.581056i	$-0.802640\pi$
$617$	3.71725	−	21.0816i	0.149651	−	0.848712i	0.963514	−	0.267656i	$-0.0862492\pi$
$618$	−7.09376	+	40.2307i	−0.285353	+	1.61832i
$619$	7.68760	+	13.3153i	0.308991	+	0.535187i	0.978142	−	0.207939i	$-0.0666755\pi$
$619$	7.68760	+	13.3153i	0.308991	+	0.535187i	−0.669151	+	0.743126i	$0.733342\pi$
$620$	−11.8693	+	20.5582i	−0.476682	+	0.825637i
$621$	1.20917	+	1.01462i	0.0485224	+	0.0407151i
$622$	−36.6858	−	13.3525i	−1.47097	−	0.535388i
$623$	−21.1720	+	7.70597i	−0.848238	+	0.308733i
$624$	−5.60897	+	4.70649i	−0.224539	+	0.188410i
$625$	0.173648	+	0.984808i	0.00694593	+	0.0393923i
$626$	8.09876			0.323691
$627$	−0.354295	+	0.146481i	−0.0141492	+	0.00584988i
$628$	69.4440			2.77112
$629$	2.20300	+	12.4938i	0.0878392	+	0.498161i
$630$	−6.63638	+	5.56858i	−0.264400	+	0.221858i
$631$	27.9210	−	10.1624i	1.11152	−	0.404559i	0.279968	−	0.960009i	$-0.409676\pi$
$631$	27.9210	−	10.1624i	1.11152	−	0.404559i	0.831550	+	0.555450i	$0.187454\pi$
$632$	0.227689	+	0.0828718i	0.00905696	+	0.00329647i
$633$	6.10396	+	5.12183i	0.242611	+	0.203575i
$634$	5.00006	−	8.66036i	0.198578	−	0.343947i
$635$	0.719889	+	1.24688i	0.0285679	+	0.0494811i
$636$	7.70683	−	43.7076i	0.305596	−	1.73312i
$637$	−2.88003	+	16.3334i	−0.114111	+	0.647154i
$638$	0.247355	+	0.428432i	0.00979289	+	0.0169618i
$639$	−13.7963	+	23.8959i	−0.545773	+	0.945306i
$640$	11.3954	+	9.56186i	0.450442	+	0.377966i
$641$	−17.9574	−	6.53597i	−0.709275	−	0.258155i	−0.0379095	−	0.999281i	$-0.512070\pi$
$641$	−17.9574	−	6.53597i	−0.709275	−	0.258155i	−0.671366	+	0.741126i	$0.734292\pi$
$642$	11.0381	−	4.01753i	0.435638	−	0.158559i
$643$	12.4316	−	10.4314i	0.490256	−	0.411374i	−0.363862	−	0.931453i	$-0.618542\pi$
$643$	12.4316	−	10.4314i	0.490256	−	0.411374i	0.854118	+	0.520079i	$0.174098\pi$
$644$	0.319614	+	1.81262i	0.0125945	+	0.0714272i
$645$	0.674589			0.0265619
$646$	−11.3361	+	21.7415i	−0.446012	+	0.855407i
$647$	26.6353			1.04714			0.523571	−	0.851982i	$-0.324600\pi$
$647$	26.6353			1.04714			0.523571	+	0.851982i	$0.324600\pi$
$648$	−0.173560	−	0.984307i	−0.00681808	−	0.0386672i
$649$	0.485562	−	0.407435i	0.0190600	−	0.0159932i
$650$	11.9493	−	4.34921i	0.468692	−	0.170590i
$651$	15.9305	+	5.79823i	0.624366	+	0.227251i
$652$	−0.481005	−	0.403611i	−0.0188376	−	0.0158066i
$653$	20.4238	−	35.3751i	0.799245	−	1.38433i	−0.120863	−	0.992669i	$-0.538566\pi$
$653$	20.4238	−	35.3751i	0.799245	−	1.38433i	0.920108	−	0.391664i	$-0.128101\pi$
$654$	−7.07069	−	12.2468i	−0.276486	−	0.478887i
$655$	−0.174248	+	0.988207i	−0.00680841	+	0.0386124i
$656$	1.26024	−	7.14719i	0.0492042	−	0.279051i
$657$	10.4457	+	18.0925i	0.407527	+	0.705857i
$658$	−15.5355	+	26.9082i	−0.605635	+	1.04899i
$659$	−14.0538	−	11.7926i	−0.547460	−	0.459373i	0.326620	−	0.945156i	$-0.394090\pi$
$659$	−14.0538	−	11.7926i	−0.547460	−	0.459373i	−0.874080	+	0.485782i	$0.838535\pi$
$660$	−0.243037	−	0.0884582i	−0.00946019	−	0.00344323i
$661$	22.8442	−	8.31460i	0.888536	−	0.323400i	0.142886	−	0.989739i	$-0.454362\pi$
$661$	22.8442	−	8.31460i	0.888536	−	0.323400i	0.745649	+	0.666339i	$0.232139\pi$
$662$	−58.0632	+	48.7208i	−2.25669	+	1.89359i
$663$	−2.60713	−	14.7858i	−0.101253	−	0.574232i
$664$	6.22076			0.241412
$665$	−1.15793	+	8.75084i	−0.0449025	+	0.339343i
$666$	−21.4455			−0.830995
$667$	−0.140844	−	0.798767i	−0.00545351	−	0.0309284i
$668$	44.4324	−	37.2832i	1.71914	−	1.44253i
$669$	−2.41662	+	0.879579i	−0.0934321	+	0.0340065i
$670$	18.5527	+	6.75263i	0.716753	+	0.260877i
$671$	0.865238	+	0.726021i	0.0334022	+	0.0280277i
$672$	7.27082	−	12.5934i	0.280478	−	0.485802i
$673$	15.7847	+	27.3400i	0.608457	+	1.05388i	0.991495	+	0.130146i	$0.0415446\pi$
$673$	15.7847	+	27.3400i	0.608457	+	1.05388i	−0.383038	+	0.923733i	$0.625122\pi$
$674$	0.373983	−	2.12096i	0.0144053	−	0.0816965i
$675$	−0.886795	+	5.02926i	−0.0341327	+	0.193576i
$676$	−29.0080	−	50.2433i	−1.11569	−	1.93243i
$677$	6.21268	−	10.7607i	0.238773	−	0.413566i	−0.721590	−	0.692321i	$-0.756588\pi$
$677$	6.21268	−	10.7607i	0.238773	−	0.413566i	0.960362	+	0.278755i	$0.0899216\pi$
$678$	−20.1850	−	16.9372i	−0.775200	−	0.650470i
$679$	−0.429882	−	0.156464i	−0.0164974	−	0.00600455i
$680$	−4.97175	+	1.80957i	−0.190658	+	0.0693938i
$681$	−0.360298	+	0.302326i	−0.0138066	+	0.0115852i
$682$	−0.264276	−	1.49878i	−0.0101196	−	0.0573913i
$683$	9.71494			0.371732			0.185866	−	0.982575i	$-0.440491\pi$
$683$	9.71494			0.371732			0.185866	+	0.982575i	$0.440491\pi$
$684$	−19.5615	−	15.0305i	−0.747953	−	0.574707i
$685$	−10.4468			−0.399152
$686$	−7.73739	−	43.8809i	−0.295415	−	1.67538i
$687$	0.789053	−	0.662094i	0.0301042	−	0.0252605i
$688$	0.754443	−	0.274595i	0.0287629	−	0.0104688i
$689$	−78.2438	−	28.4784i	−2.98085	−	1.08494i
$690$	0.545762	+	0.457949i	0.0207768	+	0.0174338i
$691$	−19.2944	+	33.4189i	−0.733994	+	1.27132i	0.221169	+	0.975235i	$0.429013\pi$
$691$	−19.2944	+	33.4189i	−0.733994	+	1.27132i	−0.955163	+	0.296080i	$0.904321\pi$
$692$	−18.4887	−	32.0233i	−0.702834	−	1.21734i
$693$	0.0574030	−	0.325548i	0.00218056	−	0.0123666i
$694$	9.07288	−	51.4549i	0.344402	−	1.95320i
$695$	−5.34230	−	9.25314i	−0.202645	−	0.350992i
$696$	2.84457	−	4.92694i	0.107823	−	0.186755i
$697$	11.3999	+	9.56566i	0.431802	+	0.362325i
$698$	40.5990	+	14.7768i	1.53670	+	0.559312i
$699$	4.15434	−	1.51206i	0.157132	−	0.0571912i
$700$	−4.56171	+	3.82773i	−0.172416	+	0.144675i
$701$	−3.17615	−	18.0129i	−0.119962	−	0.680336i	−0.984173	−	0.177208i	$-0.943293\pi$
$701$	−3.17615	−	18.0129i	−0.119962	−	0.680336i	0.864212	−	0.503128i	$-0.167818\pi$
$702$	64.9398			2.45099
$703$	−16.1202	+	14.7519i	−0.607983	+	0.556379i
$704$	−1.09608			−0.0413101
$705$	1.24301	+	7.04944i	0.0468143	+	0.265497i
$706$	20.3724	−	17.0945i	0.766726	−	0.643359i
$707$	−23.9798	+	8.72794i	−0.901854	+	0.328248i
$708$	−21.4147	−	7.79431i	−0.804814	−	0.292928i
$709$	−8.38460	−	7.03551i	−0.314890	−	0.264224i	0.471620	−	0.881802i	$-0.343670\pi$
$709$	−8.38460	−	7.03551i	−0.314890	−	0.264224i	−0.786510	+	0.617578i	$0.788114\pi$
$710$	−15.9332	+	27.5972i	−0.597964	+	1.03570i
$711$	0.111530	+	0.193176i	0.00418271	+	0.00724466i
$712$	4.03910	−	22.9068i	0.151371	−	0.858470i
$713$	−0.433286	+	2.45729i	−0.0162267	+	0.0920261i
$714$	5.90641	+	10.2302i	0.221042	+	0.382856i
$715$	−0.242613	+	0.420219i	−0.00907323	+	0.0157153i
$716$	−24.3693	−	20.4483i	−0.910725	−	0.764189i
$717$	−23.8337	−	8.67475i	−0.890085	−	0.323965i
$718$	35.9047	−	13.0683i	1.33995	−	0.487703i
$719$	−6.11975	+	5.13508i	−0.228228	+	0.191506i	−0.749730	−	0.661744i	$-0.769817\pi$
$719$	−6.11975	+	5.13508i	−0.228228	+	0.191506i	0.521502	+	0.853250i	$0.325372\pi$
$720$	0.412475	+	2.33926i	0.0153720	+	0.0871791i
$721$	−35.8906			−1.33663
$722$	−42.0762	+	3.62541i	−1.56591	+	0.134924i
$723$	4.55746			0.169494
$724$	−2.76346	−	15.6723i	−0.102703	−	0.582458i
$725$	2.01021	−	1.68677i	0.0746573	−	0.0626449i
$726$	−23.8102	+	8.66619i	−0.883678	+	0.321632i
$727$	12.7269	+	4.63222i	0.472016	+	0.171800i	0.567065	−	0.823673i	$-0.308079\pi$
$727$	12.7269	+	4.63222i	0.472016	+	0.171800i	−0.0950496	+	0.995473i	$0.530301\pi$
$728$	18.5543	+	15.5689i	0.687670	+	0.577023i
$729$	−7.48365	+	12.9621i	−0.277172	+	0.480076i
$730$	12.0637	+	20.8949i	0.446497	+	0.773356i
$731$	−0.285873	+	1.62127i	−0.0105734	+	0.0599648i
$732$	7.05160	−	39.9916i	0.260635	−	1.47813i
$733$	−6.11770	−	10.5962i	−0.225962	−	0.391378i	0.730645	−	0.682757i	$-0.239219\pi$
$733$	−6.11770	−	10.5962i	−0.225962	−	0.391378i	−0.956608	+	0.291379i	$0.905886\pi$
$734$	−19.5859	+	33.9238i	−0.722929	+	1.25215i
$735$	−2.30298	−	1.93243i	−0.0849466	−	0.0712787i
$736$	2.01122	+	0.732024i	0.0741345	+	0.0269828i
$737$	−0.707935	+	0.257667i	−0.0260771	+	0.00949130i
$738$	−19.2705	+	16.1699i	−0.709357	+	0.595221i
$739$	−0.942774	−	5.34674i	−0.0346805	−	0.196683i	0.962545	−	0.271122i	$-0.0873946\pi$
$739$	−0.942774	−	5.34674i	−0.0346805	−	0.196683i	−0.997226	+	0.0744387i	$0.976283\pi$
$740$	−14.7412			−0.541896
$741$	19.0774	−	17.4581i	0.700824	−	0.641339i
$742$	65.5126			2.40505
$743$	−0.655059	−	3.71503i	−0.0240318	−	0.136291i	0.970431	−	0.241377i	$-0.0775992\pi$
$743$	−0.655059	−	3.71503i	−0.0240318	−	0.136291i	−0.994463	+	0.105086i	$0.966488\pi$
$744$	−13.4071	+	11.2499i	−0.491530	+	0.412442i
$745$	4.74039	−	1.72536i	0.173674	−	0.0632123i
$746$	−5.54498	−	2.01821i	−0.203016	−	0.0738918i
$747$	4.38697	+	3.68110i	0.160511	+	0.134684i
$748$	0.315588	−	0.546615i	0.0115390	−	0.0199862i
$749$	5.16003	+	8.93743i	0.188543	+	0.326566i
$750$	−0.400256	+	2.26997i	−0.0146153	+	0.0828874i
$751$	−1.09106	+	6.18771i	−0.0398133	+	0.225793i	−0.998222	−	0.0596070i	$-0.981015\pi$
$751$	−1.09106	+	6.18771i	−0.0398133	+	0.225793i	0.958409	+	0.285400i	$0.0921264\pi$
$752$	4.25965	+	7.37794i	0.155334	+	0.269046i
$753$	0.200902	−	0.347973i	0.00732129	−	0.0126809i
$754$	−25.5623	−	21.4493i	−0.930923	−	0.781137i
$755$	−19.5563	−	7.11790i	−0.711726	−	0.259047i
$756$	−28.5767	+	10.4011i	−1.03932	+	0.378283i
$757$	−38.9320	+	32.6678i	−1.41501	+	1.18733i	−0.461055	+	0.887372i	$0.652529\pi$
$757$	−38.9320	+	32.6678i	−1.41501	+	1.18733i	−0.953952	+	0.299960i	$0.903027\pi$
$758$	7.32559	+	41.5455i	0.266077	+	1.50900i
$759$	−0.0271854			−0.000986768
$760$	−7.22610	−	5.55234i	−0.262118	−	0.201405i
$761$	−10.2538			−0.371701			−0.185850	−	0.982578i	$-0.559504\pi$
$761$	−10.2538			−0.371701			−0.185850	+	0.982578i	$0.559504\pi$
$762$	0.576280	+	3.26825i	0.0208764	+	0.118396i
$763$	9.51743	−	7.98607i	0.344554	−	0.289115i
$764$	−13.4609	+	4.89938i	−0.486999	+	0.177253i
$765$	−4.57695	−	1.66587i	−0.165480	−	0.0602298i
$766$	20.3109	+	17.0429i	0.733862	+	0.615783i
$767$	−21.3774	+	37.0267i	−0.771893	+	1.33696i
$768$	3.74273	+	6.48259i	0.135054	+	0.233920i
$769$	−0.261207	+	1.48138i	−0.00941937	+	0.0534199i	−0.989155	−	0.146874i	$-0.953079\pi$
$769$	−0.261207	+	1.48138i	−0.00941937	+	0.0534199i	0.979736	+	0.200294i	$0.0641898\pi$
$770$	0.0662943	−	0.375974i	0.00238908	−	0.0135491i
$771$	1.47926	+	2.56216i	0.0532743	+	0.0922738i
$772$	2.03508	−	3.52485i	0.0732440	−	0.126862i
$773$	28.5905	+	23.9903i	1.02833	+	0.862872i	0.990651	−	0.136418i	$-0.0435591\pi$
$773$	28.5905	+	23.9903i	1.02833	+	0.862872i	0.0376792	+	0.999290i	$0.488003\pi$
$774$	−2.61506	−	0.951803i	−0.0939963	−	0.0342118i
$775$	−7.58593	+	2.76105i	−0.272495	+	0.0991799i
$776$	0.361789	−	0.303577i	0.0129875	−	0.0108978i
$777$	1.82806	+	10.3675i	0.0655814	+	0.371931i
$778$	21.7065			0.778215
$779$	−3.36235	+	25.4104i	−0.120469	+	0.910421i
$780$	17.4454			0.624645
$781$	−0.211150	−	1.19749i	−0.00755554	−	0.0428496i
$782$	−1.33189	+	1.11759i	−0.0476282	+	0.0399648i
$783$	12.5929	−	4.58344i	0.450034	−	0.163799i
$784$	−3.36220	−	1.22374i	−0.120078	−	0.0437050i
$785$	18.0908	+	15.1800i	0.645687	+	0.541796i
$786$	−1.15647	+	2.00306i	−0.0412499	+	0.0714469i
$787$	−16.4647	−	28.5177i	−0.586903	−	1.01655i	−0.994635	−	0.103444i	$-0.967014\pi$
$787$	−16.4647	−	28.5177i	−0.586903	−	1.01655i	0.407732	−	0.913101i	$-0.366320\pi$
$788$	3.27183	−	18.5555i	0.116554	−	0.661011i
$789$	−1.94614	+	11.0371i	−0.0692844	+	0.392931i
$790$	0.128805	+	0.223097i	0.00458269	+	0.00793745i
$791$	11.5749	−	20.0484i	0.411558	−	0.712839i
$792$	0.261430	+	0.219366i	0.00928952	+	0.00779484i
$793$	−71.5916	−	26.0572i	−2.54229	−	0.925318i
$794$	60.2433	−	21.9268i	2.13795	−	0.778152i
$795$	11.5619	−	9.70156i	0.410057	−	0.344079i
$796$	7.98643	+	45.2933i	0.283071	+	1.60538i
$797$	−18.1078			−0.641410			−0.320705	−	0.947179i	$-0.603920\pi$
$797$	−18.1078			−0.641410			−0.320705	+	0.947179i	$0.603920\pi$
$798$	−9.40677	+	18.0413i	−0.332996	+	0.638653i
$799$	−17.4690			−0.618008
$800$	1.20244	+	6.81936i	0.0425126	+	0.241101i
$801$	16.4034	−	13.7641i	0.579587	−	0.486331i
$802$	13.0988	−	4.76758i	0.462535	−	0.168349i
$803$	−0.865133	−	0.314883i	−0.0305299	−	0.0111120i
$804$	20.7490	+	17.4105i	0.731761	+	0.614021i
$805$	−0.312963	+	0.542068i	−0.0110305	+	0.0191054i
$806$	51.3276	+	88.9020i	1.80794	+	3.13144i
$807$	0.500180	−	2.83666i	0.0176072	−	0.0998552i
$808$	4.57476	−	25.9448i	0.160939	−	0.912733i
$809$	3.92768	+	6.80294i	0.138090	+	0.239179i	0.926774	−	0.375620i	$-0.122570\pi$
$809$	3.92768	+	6.80294i	0.138090	+	0.239179i	−0.788684	+	0.614799i	$0.789237\pi$
$810$	0.531322	−	0.920277i	0.0186688	−	0.0323352i
$811$	−14.9626	−	12.5551i	−0.525409	−	0.440870i	0.341104	−	0.940026i	$-0.389199\pi$
$811$	−14.9626	−	12.5551i	−0.525409	−	0.440870i	−0.866513	+	0.499155i	$0.833644\pi$
$812$	14.6841	+	5.34457i	0.515310	+	0.187558i
$813$	−14.4829	+	5.27134i	−0.507937	+	0.184874i
$814$	0.723965	−	0.607479i	0.0253750	−	0.0212921i
$815$	−0.0370795	−	0.210289i	−0.00129884	−	0.00736609i
$816$	3.23895			0.113386
$817$	−2.62042	+	1.08339i	−0.0916767	+	0.0379031i
$818$	−24.9479			−0.872282
$819$	3.87194	+	21.9589i	0.135297	+	0.767305i
$820$	−13.2461	+	11.1148i	−0.462575	+	0.388147i
$821$	17.1492	−	6.24180i	0.598511	−	0.217840i	−0.0249577	−	0.999689i	$-0.507945\pi$
$821$	17.1492	−	6.24180i	0.598511	−	0.217840i	0.623469	+	0.781848i	$0.285723\pi$
$822$	−22.6275	−	8.23574i	−0.789225	−	0.287254i
$823$	12.6885	+	10.6469i	0.442294	+	0.371128i	0.836567	−	0.547865i	$-0.184559\pi$
$823$	12.6885	+	10.6469i	0.442294	+	0.371128i	−0.394273	+	0.918993i	$0.629004\pi$
$824$	18.5263	−	32.0885i	0.645394	−	1.11785i
$825$	−0.0439769	−	0.0761702i	−0.00153108	−	0.00265191i
$826$	5.84139	−	33.1282i	0.203248	−	1.15268i
$827$	2.91020	−	16.5046i	0.101198	−	0.573921i	−0.891473	−	0.453073i	$-0.850328\pi$
$827$	2.91020	−	16.5046i	0.101198	−	0.573921i	0.992671	−	0.120848i	$-0.0385612\pi$
$828$	−0.874641	−	1.51492i	−0.0303959	−	0.0526472i
$829$	4.99915	−	8.65878i	0.173628	−	0.300732i	−0.766058	−	0.642772i	$-0.777784\pi$
$829$	4.99915	−	8.65878i	0.173628	−	0.300732i	0.939685	+	0.342040i	$0.111118\pi$
$830$	5.06648	+	4.25128i	0.175860	+	0.147564i
$831$	−17.6257	−	6.41522i	−0.611428	−	0.222542i
$832$	69.4741	−	25.2865i	2.40858	−	0.876652i
$833$	5.62023	−	4.71593i	0.194730	−	0.163397i
$834$	−4.27658	−	24.2537i	−0.148086	−	0.839837i
$835$	19.7249			0.682607
$836$	1.08613	−	0.0467056i	0.0375647	−	0.00161535i
$837$	−41.2264			−1.42499
$838$	10.0645	+	57.0784i	0.347671	+	1.97174i
$839$	34.8926	−	29.2783i	1.20463	−	1.01080i	0.205139	−	0.978733i	$-0.434235\pi$
$839$	34.8926	−	29.2783i	1.20463	−	1.01080i	0.999486	−	0.0320678i	$-0.0102092\pi$
$840$	−4.12560	+	1.50160i	−0.142347	+	0.0518100i
$841$	20.7802	+	7.56339i	0.716560	+	0.260807i
$842$	43.0116	+	36.0910i	1.48228	+	1.24378i
$843$	2.01399	−	3.48834i	0.0693656	−	0.120145i
$844$	−11.2974	−	19.5677i	−0.388874	−	0.673549i
$845$	3.42599	−	19.4298i	0.117858	−	0.668404i
$846$	5.12778	−	29.0811i	0.176297	−	0.999828i
$847$	−11.1306	−	19.2789i	−0.382454	−	0.662429i
$848$	8.98142	−	15.5563i	0.308423	−	0.534205i
$849$	−17.7038	−	14.8552i	−0.607592	−	0.509830i
$850$	−5.28589	−	1.92391i	−0.181305	−	0.0659895i
$851$	−1.45602	+	0.529948i	−0.0499117	+	0.0181664i
$852$	−33.4896	+	28.1011i	−1.14734	+	0.962729i
$853$	4.42816	+	25.1133i	0.151617	+	0.859864i	0.961814	+	0.273706i	$0.0882494\pi$
$853$	4.42816	+	25.1133i	0.151617	+	0.859864i	−0.810196	+	0.586159i	$0.800640\pi$
$854$	59.9428			2.05120
$855$	−1.81038	−	8.19159i	−0.0619137	−	0.280147i
$856$	−10.6542			−0.364152
$857$	−1.25811	−	7.13511i	−0.0429763	−	0.243731i	0.955750	−	0.294179i	$-0.0950462\pi$
$857$	−1.25811	−	7.13511i	−0.0429763	−	0.243731i	−0.998727	+	0.0504481i	$0.983935\pi$
$858$	−0.856775	+	0.718920i	−0.0292498	+	0.0245435i
$859$	28.2917	−	10.2973i	0.965300	−	0.351340i	0.189192	−	0.981940i	$-0.439413\pi$
$859$	28.2917	−	10.2973i	0.965300	−	0.351340i	0.776108	+	0.630600i	$0.217191\pi$
$860$	−1.79753	−	0.654249i	−0.0612954	−	0.0223097i
$861$	9.45973	+	7.93766i	0.322387	+	0.270515i
$862$	42.4421	−	73.5118i	1.44558	−	2.50382i
$863$	−3.73981	−	6.47754i	−0.127305	−	0.220498i	0.795327	−	0.606181i	$-0.207299\pi$
$863$	−3.73981	−	6.47754i	−0.127305	−	0.220498i	−0.922631	+	0.385683i	$0.873966\pi$
$864$	−6.14066	+	34.8254i	−0.208910	+	1.18478i
$865$	2.18361	−	12.3839i	0.0742449	−	0.421064i
$866$	2.91293	+	5.04534i	0.0989853	+	0.171448i
$867$	5.49376	−	9.51547i	0.186578	−	0.323162i
$868$	−36.8256	−	30.9004i	−1.24994	−	1.04883i
$869$	−0.00923712	−	0.00336204i	−0.000313348	−	0.000114049i
$870$	5.68383	−	2.06874i	0.192700	−	0.0701370i
$871$	38.9275	−	32.6640i	1.31901	−	1.10678i
$872$	2.22728	+	12.6315i	0.0754251	+	0.427757i
$873$	0.434779			0.0147150
$874$	−2.85546	−	0.902389i	−0.0965874	−	0.0305238i
$875$	−2.02508			−0.0684602
$876$	5.74782	+	32.5975i	0.194201	+	1.10137i
$877$	−18.9058	+	15.8639i	−0.638404	+	0.535684i	−0.903528	−	0.428530i	$-0.859032\pi$
$877$	−18.9058	+	15.8639i	−0.638404	+	0.535684i	0.265124	+	0.964214i	$0.414587\pi$
$878$	14.0290	−	5.10615i	0.473457	−	0.172324i
$879$	23.8269	+	8.67230i	0.803663	+	0.292509i
$880$	−0.0801881	−	0.0672858i	−0.00270314	−	0.00226820i
$881$	−3.65124	+	6.32413i	−0.123013	+	0.213065i	−0.920955	−	0.389670i	$-0.872589\pi$
$881$	−3.65124	+	6.32413i	−0.123013	+	0.213065i	0.797941	+	0.602735i	$0.205922\pi$
$882$	6.20100	+	10.7405i	0.208799	+	0.361650i
$883$	−7.60832	+	43.1489i	−0.256040	+	1.45208i	0.537347	+	0.843361i	$0.319426\pi$
$883$	−7.60832	+	43.1489i	−0.256040	+	1.45208i	−0.793388	+	0.608717i	$0.791685\pi$
$884$	−7.39291	+	41.9273i	−0.248650	+	1.41017i
$885$	−3.87494	−	6.71159i	−0.130255	−	0.225608i
$886$	−28.9023	+	50.0602i	−0.970991	+	1.68181i
$887$	−37.8365	−	31.7486i	−1.27042	−	1.06601i	−0.994489	−	0.104836i	$-0.966568\pi$
$887$	−37.8365	−	31.7486i	−1.27042	−	1.06601i	−0.275935	−	0.961176i	$-0.588987\pi$
$888$	−10.2128	−	3.71716i	−0.342719	−	0.124740i
$889$	−2.73983	+	0.997216i	−0.0918909	+	0.0334456i
$890$	18.9442	−	15.8961i	0.635011	−	0.532838i
$891$	0.00704117	+	0.0399325i	0.000235888	+	0.00133779i
$892$	7.29249			0.244170
$893$	−16.1498	−	25.3870i	−0.540434	−	0.849544i
$894$	11.6278			0.388890
$895$	−1.87858	−	10.6539i	−0.0627938	−	0.356122i
$896$	−23.0765	+	19.3635i	−0.770933	+	0.646890i
$897$	1.72312	−	0.627165i	0.0575334	−	0.0209404i
$898$	−57.5894	−	20.9608i	−1.92178	−	0.699472i
$899$	16.2280	+	13.6169i	0.541233	+	0.454149i
$900$	2.82975	−	4.90128i	0.0943251	−	0.163376i
$901$	18.4166	+	31.8984i	0.613544	+	1.06269i
$902$	0.192503	−	1.09174i	0.00640965	−	0.0363509i
$903$	−0.237220	+	1.34534i	−0.00789419	+	0.0447702i
$904$	11.9497	+	20.6975i	0.397441	+	0.688388i
$905$	2.70596	−	4.68685i	0.0899490	−	0.155796i
$906$	−36.7470	−	30.8344i	−1.22084	−	1.02440i
$907$	9.99581	+	3.63818i	0.331905	+	0.120804i	0.502597	−	0.864521i	$-0.332378\pi$
$907$	9.99581	+	3.63818i	0.331905	+	0.120804i	−0.170692	+	0.985325i	$0.554600\pi$
$908$	1.25327	−	0.456154i	0.0415914	−	0.0151380i
$909$	18.5789	−	15.5895i	0.616222	−	0.517071i
$910$	4.47168	+	25.3601i	0.148235	+	0.840680i
$911$	−40.5583			−1.34376			−0.671878	−	0.740662i	$-0.734512\pi$
$911$	−40.5583			−1.34376			−0.671878	+	0.740662i	$0.734512\pi$
$912$	2.99436	+	4.70704i	0.0991532	+	0.155866i
$913$	−0.252371			−0.00835225
$914$	−0.858886	−	4.87099i	−0.0284094	−	0.161118i
$915$	10.5789	−	8.87674i	0.349727	−	0.293456i
$916$	−2.74467	+	0.998978i	−0.0906864	+	0.0330072i
$917$	−1.90952	−	0.695008i	−0.0630579	−	0.0229512i
$918$	−22.0059	−	18.4651i	−0.726303	−	0.609440i
$919$	−19.1728	+	33.2083i	−0.632453	+	1.09544i	0.354596	+	0.935020i	$0.384618\pi$
$919$	−19.1728	+	33.2083i	−0.632453	+	1.09544i	−0.987049	+	0.160421i	$0.948715\pi$
$920$	−0.323096	−	0.559619i	−0.0106522	−	0.0184501i
$921$	1.15701	−	6.56171i	0.0381247	−	0.216216i
$922$	−7.89522	+	44.7760i	−0.260015	+	1.47462i
$923$	41.0096	+	71.0306i	1.34985	+	2.33800i
$924$	0.261877	−	0.453585i	0.00861514	−	0.0149219i
$925$	−3.84020	−	3.22231i	−0.126265	−	0.105949i
$926$	−67.7363	−	24.6540i	−2.22595	−	0.810180i
$927$	32.0532	−	11.6664i	1.05276	−	0.383175i
$928$	13.9198	−	11.6801i	0.456940	−	0.383419i
$929$	7.57843	+	42.9794i	0.248640	+	1.41011i	0.811884	+	0.583818i	$0.198442\pi$
$929$	7.57843	+	42.9794i	0.248640	+	1.41011i	−0.563244	+	0.826290i	$0.690447\pi$
$930$	−18.6076			−0.610168
$931$	12.0493	+	3.80785i	0.394901	+	0.124797i
$932$	−12.5363			−0.410639
$933$	−3.16281	−	17.9372i	−0.103546	−	0.587237i
$934$	11.7845	−	9.88835i	0.385600	−	0.323557i
$935$	0.201700	−	0.0734126i	0.00659628	−	0.00240085i
$936$	−21.6313	−	7.87314i	−0.707041	−	0.257342i
$937$	−27.5115	−	23.0849i	−0.898760	−	0.754150i	0.0711873	−	0.997463i	$-0.477321\pi$
$937$	−27.5115	−	23.0849i	−0.898760	−	0.754150i	−0.969948	+	0.243313i	$0.921766\pi$
$938$	−19.9909	+	34.6253i	−0.652727	+	1.13056i
$939$	1.88921	+	3.27220i	0.0616519	+	0.106784i
$940$	3.52473	−	19.9897i	0.114964	−	0.651993i
$941$	5.36936	−	30.4512i	0.175036	−	0.992680i	−0.763066	−	0.646321i	$-0.776307\pi$
$941$	5.36936	−	30.4512i	0.175036	−	0.992680i	0.938102	−	0.346359i	$-0.112582\pi$
$942$	27.2170	+	47.1413i	0.886779	+	1.53595i
$943$	−0.908772	+	1.57404i	−0.0295937	+	0.0512578i
$944$	−7.06561	−	5.92875i	−0.229966	−	0.192964i
$945$	−9.71808	−	3.53709i	−0.316129	−	0.115062i
$946$	0.115242	−	0.0419445i	0.00374683	−	0.00136373i
$947$	8.55388	−	7.17756i	0.277964	−	0.233239i	−0.493138	−	0.869951i	$-0.664150\pi$
$947$	8.55388	−	7.17756i	0.277964	−	0.233239i	0.771102	+	0.636712i	$0.219706\pi$
$948$	0.0613701	+	0.348047i	0.00199321	+	0.0113040i
$949$	62.1000			2.01585
$950$	−2.09079	−	9.46041i	−0.0678343	−	0.306936i
$951$	4.66548			0.151288
$952$	−1.86053	−	10.5516i	−0.0603000	−	0.341978i
$953$	−5.67166	+	4.75909i	−0.183723	+	0.154162i	−0.730011	−	0.683436i	$-0.760485\pi$
$953$	−5.67166	+	4.75909i	−0.183723	+	0.154162i	0.546288	+	0.837598i	$0.316041\pi$
$954$	−58.5081	+	21.2952i	−1.89427	+	0.689458i
$955$	−4.57766	−	1.66613i	−0.148130	−	0.0539148i
$956$	55.0949	+	46.2301i	1.78190	+	1.49519i
$957$	−0.115402	+	0.199882i	−0.00373041	+	0.00646125i
$958$	−22.2761	−	38.5833i	−0.719708	−	1.24657i
$959$	3.67363	−	20.8342i	0.118628	−	0.672771i
$960$	−2.32711	+	13.1977i	−0.0751072	+	0.425954i
$961$	−17.0849	−	29.5918i	−0.551124	−	0.954575i
$962$	−31.8734	+	55.2063i	−1.02764	+	1.77992i
$963$	−7.51347	−	6.30455i	−0.242118	−	0.203161i
$964$	−12.1440	−	4.42005i	−0.391131	−	0.142360i
$965$	1.30066	−	0.473402i	0.0418698	−	0.0152394i
$966$	−1.10521	+	0.927382i	−0.0355596	+	0.0298380i
$967$	−3.05244	−	17.3112i	−0.0981598	−	0.556692i	−0.993733	−	0.111778i	$-0.964345\pi$
$967$	−3.05244	−	17.3112i	−0.0981598	−	0.556692i	0.895573	−	0.444914i	$-0.146766\pi$
$968$	22.9820			0.738671
$969$	−11.4287	+	0.491457i	−0.367144	+	0.0157879i
$970$	0.502123			0.0161222
$971$	−0.922819	−	5.23357i	−0.0296147	−	0.167953i	0.966413	−	0.256992i	$-0.0827315\pi$
$971$	−0.922819	−	5.23357i	−0.0296147	−	0.167953i	−0.996028	+	0.0890391i	$0.971620\pi$
$972$	35.6279	−	29.8954i	1.14277	−	0.958895i
$973$	20.3323	−	7.40035i	0.651823	−	0.237244i
$974$	14.8909	+	5.41983i	0.477134	+	0.173662i
$975$	4.54468	+	3.81344i	0.145546	+	0.122128i
$976$	8.21783	−	14.2337i	0.263046	−	0.455609i
$977$	−6.82533	−	11.8218i	−0.218362	−	0.378214i	0.735946	−	0.677041i	$-0.236738\pi$
$977$	−6.82533	−	11.8218i	−0.218362	−	0.378214i	−0.954307	+	0.298827i	$0.903405\pi$
$978$	0.0854678	−	0.484712i	0.00273296	−	0.0154994i
$979$	−0.163862	+	0.929310i	−0.00523707	+	0.0297009i
$980$	4.26244	+	7.38276i	0.136159	+	0.235834i
$981$	−5.90392	+	10.2259i	−0.188498	+	0.326488i
$982$	−28.1035	−	23.5817i	−0.896820	−	0.752521i
$983$	−27.0252	−	9.83639i	−0.861972	−	0.313732i	−0.127060	−	0.991895i	$-0.540554\pi$
$983$	−27.0252	−	9.83639i	−0.861972	−	0.313732i	−0.734912	+	0.678163i	$0.762776\pi$
$984$	−11.9798	+	4.36028i	−0.381901	+	0.139001i
$985$	4.90843	−	4.11866i	0.156396	−	0.131231i
$986$	2.56324	+	14.5369i	0.0816303	+	0.462949i
$987$	−14.4959			−0.461409
$988$	−67.7660	+	28.0174i	−2.15592	+	0.891351i
$989$	−0.201067			−0.00639357
$990$	0.0630059	+	0.357324i	0.00200246	+	0.0113565i
$991$	−43.2774	+	36.3141i	−1.37475	+	1.15355i	−0.403643	+	0.914916i	$0.632256\pi$
$991$	−43.2774	+	36.3141i	−1.37475	+	1.15355i	−0.971109	+	0.238638i	$0.923299\pi$
$992$	−52.5292	+	19.1191i	−1.66780	+	0.607031i
$993$	−33.2295	−	12.0945i	−1.05451	−	0.383808i
$994$	−49.4345	−	41.4804i	−1.56797	−	1.31568i
$995$	−7.82025	+	13.5451i	−0.247919	+	0.429408i
$996$	4.53675	+	7.85787i	0.143752	+	0.248986i
$997$	−2.45126	+	13.9018i	−0.0776323	+	0.440274i	0.921072	+	0.389391i	$0.127315\pi$
$997$	−2.45126	+	13.9018i	−0.0776323	+	0.440274i	−0.998705	+	0.0508830i	$0.983796\pi$
$998$	11.7184	−	66.4583i	0.370939	−	2.10370i
$999$	−12.8004	−	22.1709i	−0.404986	−	0.701456i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.k.a.66.1	yes	18
3.2	odd	2		855.2.bs.c.541.3		18
5.2	odd	4		475.2.u.b.199.6		36
5.3	odd	4		475.2.u.b.199.1		36
5.4	even	2		475.2.l.c.351.3		18
19.6	even	9		1805.2.a.v.1.1		9
19.13	odd	18		1805.2.a.s.1.9		9
19.17	even	9	inner	95.2.k.a.36.1	✓	18
57.17	odd	18		855.2.bs.c.226.3		18
95.17	odd	36		475.2.u.b.74.1		36
95.44	even	18		9025.2.a.cc.1.9		9
95.74	even	18		475.2.l.c.226.3		18
95.89	odd	18		9025.2.a.cf.1.1		9
95.93	odd	36		475.2.u.b.74.6		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.k.a.36.1	✓	18	19.17	even	9	inner
95.2.k.a.66.1	yes	18	1.1	even	1	trivial
475.2.l.c.226.3		18	95.74	even	18
475.2.l.c.351.3		18	5.4	even	2
475.2.u.b.74.1		36	95.17	odd	36
475.2.u.b.74.6		36	95.93	odd	36
475.2.u.b.199.1		36	5.3	odd	4
475.2.u.b.199.6		36	5.2	odd	4
855.2.bs.c.226.3		18	57.17	odd	18
855.2.bs.c.541.3		18	3.2	odd	2
1805.2.a.s.1.9		9	19.13	odd	18
1805.2.a.v.1.1		9	19.6	even	9
9025.2.a.cc.1.9		9	95.44	even	18
9025.2.a.cf.1.1		9	95.89	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.385975 - 2.18897i) q^{2} +(0.794389 - 0.666572i) q^{3} +(-2.76323 + 1.00573i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(-1.76572 - 1.48162i) q^{6} +(1.01254 - 1.75377i) q^{7} +(1.04532 + 1.81055i) q^{8} +(-0.334208 + 1.89539i) q^{9} +O(q^{10})\)	\(q+(-0.385975 - 2.18897i) q^{2} +(0.794389 - 0.666572i) q^{3} +(-2.76323 + 1.00573i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(-1.76572 - 1.48162i) q^{6} +(1.01254 - 1.75377i) q^{7} +(1.04532 + 1.81055i) q^{8} +(-0.334208 + 1.89539i) q^{9} +(-0.385975 + 2.18897i) q^{10} +(-0.0424078 - 0.0734524i) q^{11} +(-1.52469 + 2.64084i) q^{12} +(4.38252 + 3.67737i) q^{13} +(-4.22977 - 1.53951i) q^{14} +(-0.974463 + 0.354675i) q^{15} +(-0.945441 + 0.793319i) q^{16} +(-0.439455 - 2.49227i) q^{17} +4.27795 q^{18} +(3.21565 - 2.94271i) q^{19} +2.94057 q^{20} +(-0.364663 - 2.06811i) q^{21} +(-0.144417 + 0.121180i) q^{22} +(0.290447 - 0.105714i) q^{23} +(2.03725 + 0.741500i) q^{24} +(0.766044 + 0.642788i) q^{25} +(6.35811 - 11.0126i) q^{26} +(2.55342 + 4.42266i) q^{27} +(-1.03406 + 5.86442i) q^{28} +(0.455678 - 2.58428i) q^{29} +(1.15249 + 1.99617i) q^{30} +(-4.03639 + 6.99123i) q^{31} +(5.30452 + 4.45102i) q^{32} +(-0.0826495 - 0.0300820i) q^{33} +(-5.28589 + 1.92391i) q^{34} +(-1.55130 + 1.30170i) q^{35} +(-0.982763 - 5.57352i) q^{36} -5.01303 q^{37} +(-7.68268 - 5.90316i) q^{38} +5.93265 q^{39} +(-0.363036 - 2.05888i) q^{40} +(-4.50461 + 3.77982i) q^{41} +(-4.38627 + 1.59647i) q^{42} +(-0.611288 - 0.222491i) q^{43} +(0.191056 + 0.160315i) q^{44} +(0.962314 - 1.66678i) q^{45} +(-0.343511 - 0.594978i) q^{46} +(1.19865 - 6.79791i) q^{47} +(-0.222244 + 1.26041i) q^{48} +(1.44953 + 2.51066i) q^{49} +(1.11137 - 1.92495i) q^{50} +(-2.01037 - 1.68690i) q^{51} +(-15.8084 - 5.75378i) q^{52} +(-13.6767 + 4.97790i) q^{53} +(8.69551 - 7.29640i) q^{54} +(0.0147281 + 0.0835270i) q^{55} +4.23372 q^{56} +(0.592951 - 4.48112i) q^{57} -5.83278 q^{58} +(1.29773 + 7.35981i) q^{59} +(2.33596 - 1.96010i) q^{60} +(-12.5139 + 4.55468i) q^{61} +(16.8615 + 6.13710i) q^{62} +(2.98568 + 2.50528i) q^{63} +(6.46156 - 11.1918i) q^{64} +(-2.86048 - 4.95451i) q^{65} +(-0.0339479 + 0.192528i) q^{66} +(1.54242 - 8.74750i) q^{67} +(3.72088 + 6.44475i) q^{68} +(0.160262 - 0.277582i) q^{69} +(3.44814 + 2.89333i) q^{70} +(13.4720 + 4.90340i) q^{71} +(-3.78105 + 1.37619i) q^{72} +(8.31526 - 6.97733i) q^{73} +(1.93490 + 10.9734i) q^{74} +1.03700 q^{75} +(-5.92601 + 11.3655i) q^{76} -0.171758 q^{77} +(-2.28985 - 12.9864i) q^{78} +(0.0887829 - 0.0744977i) q^{79} +(1.15976 - 0.422116i) q^{80} +(-0.449247 - 0.163512i) q^{81} +(10.0126 + 8.40155i) q^{82} +(1.48776 - 2.57688i) q^{83} +(3.08761 + 5.34790i) q^{84} +(-0.439455 + 2.49227i) q^{85} +(-0.251084 + 1.42397i) q^{86} +(-1.36062 - 2.35666i) q^{87} +(0.0886595 - 0.153563i) q^{88} +(-8.52291 - 7.15157i) q^{89} +(-4.01996 - 1.46314i) q^{90} +(10.8867 - 3.96245i) q^{91} +(-0.696253 + 0.584226i) q^{92} +(1.45369 + 8.24430i) q^{93} -15.3431 q^{94} +(-4.02819 + 1.66543i) q^{95} +7.18078 q^{96} +(-0.0392276 - 0.222471i) q^{97} +(4.93627 - 4.14202i) q^{98} +(0.153394 - 0.0558308i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9} - 3 q^{10} - 18 q^{12} - 3 q^{13} - 12 q^{14} - 3 q^{15} - 3 q^{16} + 24 q^{17} + 48 q^{18} + 12 q^{20} - 21 q^{21} + 9 q^{22} - 9 q^{23} - 15 q^{24} + 3 q^{26} - 24 q^{27} - 12 q^{28} + 15 q^{29} - 12 q^{30} - 18 q^{31} + 15 q^{32} - 33 q^{33} - 12 q^{34} + 75 q^{36} + 36 q^{37} - 33 q^{38} + 36 q^{39} - 6 q^{40} - 30 q^{41} - 9 q^{42} - 36 q^{43} + 42 q^{44} - 6 q^{45} + 9 q^{46} + 21 q^{47} + 33 q^{48} + 9 q^{49} - 6 q^{50} - 45 q^{51} - 39 q^{52} - 12 q^{53} - 66 q^{54} + 3 q^{55} + 72 q^{57} + 12 q^{58} + 18 q^{59} - 3 q^{60} - 30 q^{61} - 24 q^{62} + 54 q^{63} + 36 q^{64} - 9 q^{65} + 39 q^{66} + 51 q^{68} + 15 q^{69} + 33 q^{70} - 12 q^{71} - 66 q^{72} + 24 q^{73} - 15 q^{74} + 18 q^{75} - 33 q^{76} - 60 q^{77} - 48 q^{78} - 51 q^{79} + 15 q^{80} + 27 q^{81} - 15 q^{82} + 48 q^{84} + 24 q^{85} + 63 q^{86} - 15 q^{87} - 27 q^{88} - 54 q^{89} - 9 q^{90} + 30 q^{91} - 42 q^{92} + 72 q^{93} + 30 q^{94} + 15 q^{95} - 66 q^{96} + 27 q^{97} - 3 q^{98} - 93 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9 - 3 * q^10 - 18 * q^12 - 3 * q^13 - 12 * q^14 - 3 * q^15 - 3 * q^16 + 24 * q^17 + 48 * q^18 + 12 * q^20 - 21 * q^21 + 9 * q^22 - 9 * q^23 - 15 * q^24 + 3 * q^26 - 24 * q^27 - 12 * q^28 + 15 * q^29 - 12 * q^30 - 18 * q^31 + 15 * q^32 - 33 * q^33 - 12 * q^34 + 75 * q^36 + 36 * q^37 - 33 * q^38 + 36 * q^39 - 6 * q^40 - 30 * q^41 - 9 * q^42 - 36 * q^43 + 42 * q^44 - 6 * q^45 + 9 * q^46 + 21 * q^47 + 33 * q^48 + 9 * q^49 - 6 * q^50 - 45 * q^51 - 39 * q^52 - 12 * q^53 - 66 * q^54 + 3 * q^55 + 72 * q^57 + 12 * q^58 + 18 * q^59 - 3 * q^60 - 30 * q^61 - 24 * q^62 + 54 * q^63 + 36 * q^64 - 9 * q^65 + 39 * q^66 + 51 * q^68 + 15 * q^69 + 33 * q^70 - 12 * q^71 - 66 * q^72 + 24 * q^73 - 15 * q^74 + 18 * q^75 - 33 * q^76 - 60 * q^77 - 48 * q^78 - 51 * q^79 + 15 * q^80 + 27 * q^81 - 15 * q^82 + 48 * q^84 + 24 * q^85 + 63 * q^86 - 15 * q^87 - 27 * q^88 - 54 * q^89 - 9 * q^90 + 30 * q^91 - 42 * q^92 + 72 * q^93 + 30 * q^94 + 15 * q^95 - 66 * q^96 + 27 * q^97 - 3 * q^98 - 93 * q^99

Introduction

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