LMFDB - Embedded newform 95.2.k.a.36.2

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			36.2
Root			$0.394508 + 0.683308i$ of defining polynomial
Character	$\chi$	$=$	95.36
Dual form			95.2.k.a.66.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0366369 - 0.207778i) q^{2} +(0.0612035 + 0.0513559i) q^{3} +(1.83756 + 0.668816i) q^{4} +(-0.939693 + 0.342020i) q^{5} +(0.0129129 - 0.0108352i) q^{6} +(0.843614 + 1.46118i) q^{7} +(0.417271 - 0.722735i) q^{8} +(-0.519836 - 2.94814i) q^{9} +O(q^{10})$	\(q+(0.0366369 - 0.207778i) q^{2} +(0.0612035 + 0.0513559i) q^{3} +(1.83756 + 0.668816i) q^{4} +(-0.939693 + 0.342020i) q^{5} +(0.0129129 - 0.0108352i) q^{6} +(0.843614 + 1.46118i) q^{7} +(0.417271 - 0.722735i) q^{8} +(-0.519836 - 2.94814i) q^{9} +(0.0366369 + 0.207778i) q^{10} +(1.44339 - 2.50003i) q^{11} +(0.0781173 + 0.135303i) q^{12} +(-4.95325 + 4.15627i) q^{13} +(0.334509 - 0.121751i) q^{14} +(-0.0750772 - 0.0273259i) q^{15} +(2.86110 + 2.40075i) q^{16} +(0.518598 - 2.94112i) q^{17} -0.631604 q^{18} +(-4.34933 + 0.288668i) q^{19} -1.95549 q^{20} +(-0.0234081 + 0.132754i) q^{21} +(-0.466570 - 0.391499i) q^{22} +(-7.75955 - 2.82424i) q^{23} +(0.0626552 - 0.0228046i) q^{24} +(0.766044 - 0.642788i) q^{25} +(0.682111 + 1.18145i) q^{26} +(0.239432 - 0.414708i) q^{27} +(0.572926 + 3.24923i) q^{28} +(1.26021 + 7.14701i) q^{29} +(-0.00842832 + 0.0145983i) q^{30} +(-2.02800 - 3.51260i) q^{31} +(1.88224 - 1.57939i) q^{32} +(0.216732 - 0.0788839i) q^{33} +(-0.592100 - 0.215507i) q^{34} +(-1.29249 - 1.08453i) q^{35} +(1.01653 - 5.76504i) q^{36} +7.96989 q^{37} +(-0.0993671 + 0.914272i) q^{38} -0.516605 q^{39} +(-0.144917 + 0.821864i) q^{40} +(4.17950 + 3.50702i) q^{41} +(0.0267258 + 0.00972740i) q^{42} +(5.01011 - 1.82353i) q^{43} +(4.32437 - 3.62858i) q^{44} +(1.49681 + 2.59255i) q^{45} +(-0.871103 + 1.50879i) q^{46} +(0.286452 + 1.62455i) q^{47} +(0.0518169 + 0.293868i) q^{48} +(2.07663 - 3.59683i) q^{49} +(-0.105492 - 0.182717i) q^{50} +(0.182783 - 0.153374i) q^{51} +(-11.8817 + 4.32457i) q^{52} +(-1.79663 - 0.653921i) q^{53} +(-0.0773952 - 0.0649423i) q^{54} +(-0.501285 + 2.84293i) q^{55} +1.40806 q^{56} +(-0.281019 - 0.205696i) q^{57} +1.53116 q^{58} +(0.616931 - 3.49879i) q^{59} +(-0.119683 - 0.100426i) q^{60} +(7.42370 + 2.70201i) q^{61} +(-0.804142 + 0.292684i) q^{62} +(3.86922 - 3.24666i) q^{63} +(3.47569 + 6.02008i) q^{64} +(3.23300 - 5.59973i) q^{65} +(-0.00844998 - 0.0479222i) q^{66} +(0.393370 + 2.23091i) q^{67} +(2.92002 - 5.05762i) q^{68} +(-0.329870 - 0.571352i) q^{69} +(-0.272695 + 0.228818i) q^{70} +(-9.79389 + 3.56469i) q^{71} +(-2.34764 - 0.854469i) q^{72} +(1.08155 + 0.907529i) q^{73} +(0.291992 - 1.65597i) q^{74} +0.0798955 q^{75} +(-8.18520 - 2.37846i) q^{76} +4.87066 q^{77} +(-0.0189268 + 0.107339i) q^{78} +(-1.84675 - 1.54961i) q^{79} +(-3.50966 - 1.27741i) q^{80} +(-8.40329 + 3.05855i) q^{81} +(0.881806 - 0.739923i) q^{82} +(5.70029 + 9.87319i) q^{83} +(-0.131802 + 0.228287i) q^{84} +(0.518598 + 2.94112i) q^{85} +(-0.195335 - 1.10780i) q^{86} +(-0.289912 + 0.502142i) q^{87} +(-1.20457 - 2.08638i) q^{88} +(-7.74938 + 6.50250i) q^{89} +(0.593514 - 0.216021i) q^{90} +(-10.2517 - 3.73131i) q^{91} +(-12.3697 - 10.3794i) q^{92} +(0.0562718 - 0.319133i) q^{93} +0.348041 q^{94} +(3.98830 - 1.75882i) q^{95} +0.196310 q^{96} +(-1.71360 + 9.71828i) q^{97} +(-0.671262 - 0.563256i) q^{98} +(-8.12075 - 2.95571i) 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 $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{5}{9}\right)$	$1$

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 $

$2$	0.0366369	−	0.207778i	0.0259062	−	0.146921i	−0.969111	−	0.246625i	$-0.920678\pi$
$2$	0.0366369	−	0.207778i	0.0259062	−	0.146921i	0.995017	+	0.0997037i	$0.0317895\pi$
$3$	0.0612035	+	0.0513559i	0.0353359	+	0.0296503i	0.660285	−	0.751016i	$-0.270436\pi$
$3$	0.0612035	+	0.0513559i	0.0353359	+	0.0296503i	−0.624949	+	0.780666i	$0.714880\pi$
$4$	1.83756	+	0.668816i	0.918778	+	0.334408i
$5$	−0.939693	+	0.342020i	−0.420243	+	0.152956i
$5$	−0.939693	+	0.342020i	−0.420243	+	0.152956i
$6$	0.0129129	−	0.0108352i	0.00527169	−	0.00442347i
$7$	0.843614	+	1.46118i	0.318856	+	0.552275i	0.980250	−	0.197764i	$-0.0633680\pi$
$7$	0.843614	+	1.46118i	0.318856	+	0.552275i	−0.661394	+	0.750039i	$0.730035\pi$
$8$	0.417271	−	0.722735i	0.147528	−	0.255526i
$9$	−0.519836	−	2.94814i	−0.173279	−	0.982712i
$10$	0.0366369	+	0.207778i	0.0115856	+	0.0657053i
$11$	1.44339	−	2.50003i	0.435199	−	0.753787i	−0.562113	−	0.827061i	$-0.690011\pi$
$11$	1.44339	−	2.50003i	0.435199	−	0.753787i	0.997312	+	0.0732738i	$0.0233447\pi$
$12$	0.0781173	+	0.135303i	0.0225505	+	0.0390586i
$13$	−4.95325	+	4.15627i	−1.37378	+	1.15274i	−0.402336	+	0.915492i	$0.631802\pi$
$13$	−4.95325	+	4.15627i	−1.37378	+	1.15274i	−0.971449	+	0.237250i	$0.923754\pi$
$14$	0.334509	−	0.121751i	0.0894014	−	0.0325394i
$15$	−0.0750772	−	0.0273259i	−0.0193849	−	0.00705551i
$16$	2.86110	+	2.40075i	0.715274	+	0.600186i
$17$	0.518598	−	2.94112i	0.125778	−	0.713325i	−0.855064	−	0.518523i	$-0.826482\pi$
$17$	0.518598	−	2.94112i	0.125778	−	0.713325i	0.980842	−	0.194803i	$-0.0624067\pi$
$18$	−0.631604			−0.148871
$19$	−4.34933	+	0.288668i	−0.997805	+	0.0662249i
$19$	−4.34933	+	0.288668i	−0.997805	+	0.0662249i
$20$	−1.95549			−0.437260
$21$	−0.0234081	+	0.132754i	−0.00510807	+	0.0289693i
$22$	−0.466570	−	0.391499i	−0.0994731	−	0.0834678i
$23$	−7.75955	−	2.82424i	−1.61798	−	0.588896i	−0.634982	−	0.772527i	$-0.718992\pi$
$23$	−7.75955	−	2.82424i	−1.61798	−	0.588896i	−0.982995	+	0.183631i	$0.941215\pi$
$24$	0.0626552	−	0.0228046i	0.0127894	−	0.00465497i
$25$	0.766044	−	0.642788i	0.153209	−	0.128558i
$26$	0.682111	+	1.18145i	0.133773	+	0.231702i
$27$	0.239432	−	0.414708i	0.0460786	−	0.0798105i
$28$	0.572926	+	3.24923i	0.108273	+	0.614046i
$29$	1.26021	+	7.14701i	0.234015	+	1.32717i	0.844677	+	0.535276i	$0.179792\pi$
$29$	1.26021	+	7.14701i	0.234015	+	1.32717i	−0.610662	+	0.791891i	$0.709097\pi$
$30$	−0.00842832	+	0.0145983i	−0.00153879	+	0.00266527i
$31$	−2.02800	−	3.51260i	−0.364240	−	0.630882i	0.624414	−	0.781094i	$-0.285338\pi$
$31$	−2.02800	−	3.51260i	−0.364240	−	0.630882i	−0.988654	+	0.150212i	$0.952005\pi$
$32$	1.88224	−	1.57939i	0.332736	−	0.279199i
$33$	0.216732	−	0.0788839i	0.0377281	−	0.0137319i
$34$	−0.592100	−	0.215507i	−0.101544	−	0.0369591i
$35$	−1.29249	−	1.08453i	−0.218471	−	0.183319i
$36$	1.01653	−	5.76504i	0.169422	−	0.960840i
$37$	7.96989			1.31024			0.655121	−	0.755524i	$-0.272618\pi$
$37$	7.96989			1.31024			0.655121	+	0.755524i	$0.272618\pi$
$38$	−0.0993671	+	0.914272i	−0.0161195	+	0.148315i
$39$	−0.516605			−0.0827230
$40$	−0.144917	+	0.821864i	−0.0229134	+	0.129948i
$41$	4.17950	+	3.50702i	0.652728	+	0.547704i	0.907897	−	0.419192i	$-0.137687\pi$
$41$	4.17950	+	3.50702i	0.652728	+	0.547704i	−0.255169	+	0.966896i	$0.582131\pi$
$42$	0.0267258	+	0.00972740i	0.00412388	+	0.00150097i
$43$	5.01011	−	1.82353i	0.764034	−	0.278086i	0.0695352	−	0.997580i	$-0.477848\pi$
$43$	5.01011	−	1.82353i	0.764034	−	0.278086i	0.694499	+	0.719494i	$0.255626\pi$
$44$	4.32437	−	3.62858i	0.651923	−	0.547029i
$45$	1.49681	+	2.59255i	0.223131	+	0.386474i
$46$	−0.871103	+	1.50879i	−0.128437	+	0.222460i
$47$	0.286452	+	1.62455i	0.0417833	+	0.236965i	0.998546	−	0.0539044i	$-0.0171666\pi$
$47$	0.286452	+	1.62455i	0.0417833	+	0.236965i	−0.956763	+	0.290869i	$0.906056\pi$
$48$	0.0518169	+	0.293868i	0.00747912	+	0.0424162i
$49$	2.07663	−	3.59683i	0.296662	−	0.513833i
$50$	−0.105492	−	0.182717i	−0.0149188	−	0.0258401i
$51$	0.182783	−	0.153374i	0.0255948	−	0.0214766i
$52$	−11.8817	+	4.32457i	−1.64769	+	0.599710i
$53$	−1.79663	−	0.653921i	−0.246787	−	0.0898230i	0.215665	−	0.976467i	$-0.430808\pi$
$53$	−1.79663	−	0.653921i	−0.246787	−	0.0898230i	−0.462452	+	0.886644i	$0.653030\pi$
$54$	−0.0773952	−	0.0649423i	−0.0105322	−	0.00883753i
$55$	−0.501285	+	2.84293i	−0.0675932	+	0.383340i
$56$	1.40806			0.188160
$57$	−0.281019	−	0.205696i	−0.0372219	−	0.0272451i
$58$	1.53116			0.201052
$59$	0.616931	−	3.49879i	0.0803175	−	0.455503i	−0.917952	−	0.396692i	$-0.870158\pi$
$59$	0.616931	−	3.49879i	0.0803175	−	0.455503i	0.998269	−	0.0588110i	$-0.0187309\pi$
$60$	−0.119683	−	0.100426i	−0.0154510	−	0.0129649i
$61$	7.42370	+	2.70201i	0.950508	+	0.345956i	0.770307	−	0.637673i	$-0.220103\pi$
$61$	7.42370	+	2.70201i	0.950508	+	0.345956i	0.180201	+	0.983630i	$0.442325\pi$
$62$	−0.804142	+	0.292684i	−0.102126	+	0.0371709i
$63$	3.86922	−	3.24666i	0.487476	−	0.409041i
$64$	3.47569	+	6.02008i	0.434462	+	0.752510i
$65$	3.23300	−	5.59973i	0.401005	−	0.694561i
$66$	−0.00844998	−	0.0479222i	−0.00104012	−	0.00589882i
$67$	0.393370	+	2.23091i	0.0480578	+	0.272550i	0.999362	−	0.0357028i	$-0.0113670\pi$
$67$	0.393370	+	2.23091i	0.0480578	+	0.272550i	−0.951305	+	0.308252i	$0.900256\pi$
$68$	2.92002	−	5.05762i	0.354104	−	0.613326i
$69$	−0.329870	−	0.571352i	−0.0397117	−	0.0687827i
$70$	−0.272695	+	0.228818i	−0.0325932	+	0.0273490i
$71$	−9.79389	+	3.56469i	−1.16232	+	0.423050i	−0.849926	−	0.526902i	$-0.823354\pi$
$71$	−9.79389	+	3.56469i	−1.16232	+	0.423050i	−0.312395	+	0.949952i	$0.601131\pi$
$72$	−2.34764	−	0.854469i	−0.276671	−	0.100700i
$73$	1.08155	+	0.907529i	0.126586	+	0.106218i	0.703883	−	0.710316i	$-0.251448\pi$
$73$	1.08155	+	0.907529i	0.126586	+	0.106218i	−0.577297	+	0.816534i	$0.695892\pi$
$74$	0.291992	−	1.65597i	0.0339434	−	0.192503i
$75$	0.0798955			0.00922554
$76$	−8.18520	−	2.37846i	−0.938907	−	0.272828i
$77$	4.87066			0.555063
$78$	−0.0189268	+	0.107339i	−0.00214304	+	0.0121538i
$79$	−1.84675	−	1.54961i	−0.207776	−	0.174344i	0.532961	−	0.846140i	$-0.321079\pi$
$79$	−1.84675	−	1.54961i	−0.207776	−	0.174344i	−0.740737	+	0.671795i	$0.765524\pi$
$80$	−3.50966	−	1.27741i	−0.392391	−	0.142819i
$81$	−8.40329	+	3.05855i	−0.933699	+	0.339838i
$82$	0.881806	−	0.739923i	0.0973792	−	0.0817108i
$83$	5.70029	+	9.87319i	0.625688	+	1.08372i	0.988407	+	0.151825i	$0.0485151\pi$
$83$	5.70029	+	9.87319i	0.625688	+	1.08372i	−0.362719	+	0.931898i	$0.618152\pi$
$84$	−0.131802	+	0.228287i	−0.0143807	+	0.0249082i
$85$	0.518598	+	2.94112i	0.0562498	+	0.319009i
$86$	−0.195335	−	1.10780i	−0.0210635	−	0.119457i
$87$	−0.289912	+	0.502142i	−0.0310818	+	0.0538352i
$88$	−1.20457	−	2.08638i	−0.128408	−	0.222409i
$89$	−7.74938	+	6.50250i	−0.821433	+	0.689264i	−0.953307	−	0.302002i	$-0.902345\pi$
$89$	−7.74938	+	6.50250i	−0.821433	+	0.689264i	0.131874	+	0.991266i	$0.457901\pi$
$90$	0.593514	−	0.216021i	0.0625618	−	0.0227706i
$91$	−10.2517	−	3.73131i	−1.07467	−	0.391148i
$92$	−12.3697	−	10.3794i	−1.28963	−	1.08213i
$93$	0.0562718	−	0.319133i	0.00583512	−	0.0330926i
$94$	0.348041			0.0358977
$95$	3.98830	−	1.75882i	0.409191	−	0.180451i
$96$	0.196310			0.0200358
$97$	−1.71360	+	9.71828i	−0.173989	+	0.986742i	0.765315	+	0.643656i	$0.222583\pi$
$97$	−1.71360	+	9.71828i	−0.173989	+	0.986742i	−0.939304	+	0.343086i	$0.888528\pi$
$98$	−0.671262	−	0.563256i	−0.0678077	−	0.0568974i
$99$	−8.12075	−	2.95571i	−0.816166	−	0.297060i
$100$	1.83756	−	0.668816i	0.183756	−	0.0668816i
$101$	3.19421	−	2.68026i	0.317836	−	0.266696i	−0.469886	−	0.882727i	$-0.655705\pi$
$101$	3.19421	−	2.68026i	0.317836	−	0.266696i	0.787722	+	0.616031i	$0.211260\pi$
$102$	−0.0251711	−	0.0435976i	−0.00249231	−	0.00431680i
$103$	6.28180	−	10.8804i	0.618964	−	1.07208i	−0.370711	−	0.928748i	$-0.620886\pi$
$103$	6.28180	−	10.8804i	0.618964	−	1.07208i	0.989675	−	0.143329i	$-0.0457809\pi$
$104$	0.937034	+	5.31418i	0.0918837	+	0.521098i
$105$	−0.0234081	−	0.132754i	−0.00228440	−	0.0129555i
$106$	−0.201694	+	0.349344i	−0.0195902	+	0.0339313i
$107$	−7.47116	−	12.9404i	−0.722264	−	1.25100i	−0.960090	−	0.279690i	$-0.909768\pi$
$107$	−7.47116	−	12.9404i	−0.722264	−	1.25100i	0.237826	−	0.971308i	$-0.423565\pi$
$108$	0.717332	−	0.601913i	0.0690253	−	0.0579191i
$109$	−4.89106	+	1.78020i	−0.468479	+	0.170512i	−0.565463	−	0.824774i	$-0.691303\pi$
$109$	−4.89106	+	1.78020i	−0.468479	+	0.170512i	0.0969843	+	0.995286i	$0.469080\pi$
$110$	0.572333	+	0.208312i	0.0545698	+	0.0198618i
$111$	0.487785	+	0.409301i	0.0462985	+	0.0388491i
$112$	−1.09427	+	6.20589i	−0.103398	+	0.586401i
$113$	8.57064			0.806258			0.403129	−	0.915143i	$-0.367923\pi$
$113$	8.57064			0.806258			0.403129	+	0.915143i	$0.367923\pi$
$114$	−0.0530349	+	0.0508536i	−0.00496717	+	0.00476288i
$115$	8.25754			0.770019
$116$	−2.46433	+	13.9759i	−0.228807	+	1.29763i
$117$	14.8281	+	12.4423i	1.37086	+	1.15029i
$118$	−0.704370	−	0.256370i	−0.0648425	−	0.0236007i
$119$	4.73500	−	1.72340i	0.434057	−	0.157984i
$120$	−0.0510770	+	0.0428587i	−0.00466267	+	0.00391244i
$121$	1.33324	+	2.30924i	0.121204	+	0.209931i
$122$	0.833400	−	1.44349i	0.0754525	−	0.130688i
$123$	0.0756943	+	0.429284i	0.00682512	+	0.0387072i
$124$	−1.37728	−	7.81096i	−0.123684	−	0.701445i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	−0.532830	−	0.922889i	−0.0474683	−	0.0822175i
$127$	9.98688	−	8.37999i	0.886192	−	0.743604i	−0.0812503	−	0.996694i	$-0.525891\pi$
$127$	9.98688	−	8.37999i	0.886192	−	0.743604i	0.967443	+	0.253090i	$0.0814469\pi$
$128$	5.99600	−	2.18236i	0.529976	−	0.192896i
$129$	0.400285	+	0.145692i	0.0352431	+	0.0128274i
$130$	−1.04505	−	0.876905i	−0.0916574	−	0.0769097i
$131$	0.0324867	−	0.184241i	0.00283838	−	0.0160972i	−0.983356	−	0.181691i	$-0.941843\pi$
$131$	0.0324867	−	0.184241i	0.00283838	−	0.0160972i	0.986194	+	0.165594i	$0.0529541\pi$
$132$	0.451015			0.0392558
$133$	−4.09095	−	6.11164i	−0.354730	−	0.529946i
$134$	0.477948			0.0412884
$135$	−0.0831537	+	0.471588i	−0.00715673	+	0.0405878i
$136$	−1.90925	−	1.60205i	−0.163717	−	0.137375i
$137$	−2.02559	−	0.737254i	−0.173058	−	0.0629879i	0.254038	−	0.967194i	$-0.418241\pi$
$137$	−2.02559	−	0.737254i	−0.173058	−	0.0629879i	−0.427096	+	0.904206i	$0.640463\pi$
$138$	−0.130800	+	0.0476073i	−0.0111344	+	0.00405260i
$139$	−6.04955	+	5.07617i	−0.513116	+	0.430555i	−0.862224	−	0.506527i	$-0.830929\pi$
$139$	−6.04955	+	5.07617i	−0.513116	+	0.430555i	0.349108	+	0.937082i	$0.386485\pi$
$140$	−1.64967	−	2.85732i	−0.139423	−	0.241488i
$141$	−0.0658982	+	0.114139i	−0.00554963	+	0.00961225i
$142$	0.381846	+	2.16556i	0.0320438	+	0.181730i
$143$	3.24131	+	18.3824i	0.271052	+	1.53721i
$144$	5.59042	−	9.68290i	0.465869	−	0.806908i
$145$	−3.62863	−	6.28498i	−0.301342	−	0.521939i
$146$	0.228189	−	0.191474i	0.0188851	−	0.0158465i
$147$	0.311815	−	0.113492i	0.0257181	−	0.00936063i
$148$	14.6451	+	5.33039i	1.20382	+	0.438155i
$149$	13.7096	+	11.5037i	1.12313	+	0.942421i	0.998759	−	0.0498141i	$-0.0158629\pi$
$149$	13.7096	+	11.5037i	1.12313	+	0.942421i	0.124375	+	0.992235i	$0.460307\pi$
$150$	0.00292713	−	0.0166006i	0.000238999	−	0.00135543i
$151$	2.93984			0.239241			0.119620	−	0.992820i	$-0.461832\pi$
$151$	2.93984			0.239241			0.119620	+	0.992820i	$0.461832\pi$
$152$	−1.60622	+	3.26387i	−0.130282	+	0.264735i
$153$	−8.94040			−0.722788
$154$	0.178446	−	1.01202i	0.0143796	−	0.0815507i
$155$	3.10708	+	2.60715i	0.249567	+	0.209411i
$156$	−0.949291	−	0.345514i	−0.0760041	−	0.0276632i
$157$	−6.35878	+	2.31441i	−0.507486	+	0.184710i	−0.583058	−	0.812431i	$-0.698144\pi$
$157$	−6.35878	+	2.31441i	−0.507486	+	0.184710i	0.0755720	+	0.997140i	$0.475922\pi$
$158$	−0.389634	+	0.326942i	−0.0309976	+	0.0260101i
$159$	−0.0763776	−	0.132290i	−0.00605714	−	0.0104913i
$160$	−1.22854	+	2.12790i	−0.0971249	+	0.168225i
$161$	−2.41933	−	13.7207i	−0.190670	−	1.08134i
$162$	0.327629	+	1.85808i	0.0257410	+	0.145984i
$163$	0.453917	−	0.786207i	0.0355535	−	0.0615805i	−0.847701	−	0.530474i	$-0.822014\pi$
$163$	0.453917	−	0.786207i	0.0355535	−	0.0615805i	0.883255	+	0.468894i	$0.155347\pi$
$164$	5.33452	+	9.23965i	0.416556	+	0.721496i
$165$	−0.176681	+	0.148253i	−0.0137546	+	0.0115415i
$166$	2.26028	−	0.822673i	0.175431	−	0.0638518i
$167$	−13.4109	−	4.88117i	−1.03777	−	0.377716i	−0.233733	−	0.972301i	$-0.575094\pi$
$167$	−13.4109	−	4.88117i	−1.03777	−	0.377716i	−0.804033	+	0.594585i	$0.797317\pi$
$168$	0.0861785	+	0.0723123i	0.00664881	+	0.00557902i
$169$	5.00268	−	28.3716i	0.384822	−	2.18243i
$170$	0.630100			0.0483264
$171$	3.11197	+	12.6724i	0.237978	+	0.969080i
$172$	10.4260			0.794971
$173$	2.44452	−	13.8636i	0.185854	−	1.05403i	−0.739000	−	0.673705i	$-0.764702\pi$
$173$	2.44452	−	13.8636i	0.185854	−	1.05403i	0.924854	−	0.380323i	$-0.124187\pi$
$174$	0.0937127	+	0.0786343i	0.00710434	+	0.00596125i
$175$	1.58548	+	0.577066i	0.119851	+	0.0436221i
$176$	10.1316	−	3.68761i	0.763699	−	0.277964i
$177$	0.217442	−	0.182455i	0.0163439	−	0.0137142i
$178$	1.06717	+	1.84839i	0.0799875	+	0.138542i
$179$	−7.87488	+	13.6397i	−0.588596	+	1.01948i	0.405821	+	0.913953i	$0.366986\pi$
$179$	−7.87488	+	13.6397i	−0.588596	+	1.01948i	−0.994417	+	0.105525i	$0.966348\pi$
$180$	1.01653	+	5.76504i	0.0757678	+	0.429701i
$181$	0.791542	+	4.48906i	0.0588348	+	0.333669i	0.999991	−	0.00430380i	$-0.00136995\pi$
$181$	0.791542	+	4.48906i	0.0588348	+	0.333669i	−0.941156	+	0.337973i	$0.890259\pi$
$182$	−1.15088	+	1.99338i	−0.0853087	+	0.147759i
$183$	0.315593	+	0.546623i	0.0233293	+	0.0404075i
$184$	−5.27902	+	4.42962i	−0.389174	+	0.326556i
$185$	−7.48925	+	2.72586i	−0.550621	+	0.200409i
$186$	−0.0642474	−	0.0233841i	−0.00471085	−	0.00171461i
$187$	−6.60433	−	5.54169i	−0.482956	−	0.405249i
$188$	−0.560153	+	3.17678i	−0.0408533	+	0.231691i
$189$	0.807951			0.0587698
$190$	−0.219325	−	0.893121i	−0.0159115	−	0.0647938i
$191$	−9.95887			−0.720599			−0.360299	−	0.932837i	$-0.617325\pi$
$191$	−9.95887			−0.720599			−0.360299	+	0.932837i	$0.617325\pi$
$192$	−0.0964416	+	0.546947i	−0.00696007	+	0.0394725i
$193$	−16.3943	−	13.7564i	−1.18009	−	0.990210i	−0.999978	−	0.00656365i	$-0.997911\pi$
$193$	−16.3943	−	13.7564i	−1.18009	−	0.990210i	−0.180108	−	0.983647i	$-0.557645\pi$
$194$	1.95647	+	0.712096i	0.140466	+	0.0511255i
$195$	0.485450	−	0.176689i	0.0347638	−	0.0126530i
$196$	6.22154	−	5.22049i	0.444396	−	0.372892i
$197$	−0.683372	−	1.18364i	−0.0486883	−	0.0843305i	0.840654	−	0.541572i	$-0.182171\pi$
$197$	−0.683372	−	1.18364i	−0.0486883	−	0.0843305i	−0.889342	+	0.457242i	$0.848837\pi$
$198$	−0.911652	+	1.57903i	−0.0647883	+	0.112217i
$199$	−3.11454	−	17.6634i	−0.220784	−	1.25213i	−0.870583	−	0.492022i	$-0.836258\pi$
$199$	−3.11454	−	17.6634i	−0.220784	−	1.25213i	0.649799	−	0.760106i	$-0.274853\pi$
$200$	−0.144917	−	0.821864i	−0.0102472	−	0.0581146i
$201$	−0.0904949	+	0.156742i	−0.00638302	+	0.0110557i
$202$	−0.439874	−	0.761885i	−0.0309495	−	0.0536060i
$203$	−9.37996	+	7.87072i	−0.658344	+	0.552416i
$204$	0.438453	−	0.159584i	0.0306979	−	0.0111731i
$205$	−5.12692	−	1.86604i	−0.358079	−	0.130330i
$206$	−2.03057	−	1.70385i	−0.141476	−	0.118713i
$207$	−4.29257	+	24.3443i	−0.298354	+	1.69205i
$208$	−24.1499			−1.67449
$209$	−5.55611	+	11.2901i	−0.384324	+	0.780953i
$210$	−0.0284410			−0.00196262
$211$	3.60629	−	20.4523i	0.248267	−	1.40799i	−0.564513	−	0.825424i	$-0.690936\pi$
$211$	3.60629	−	20.4523i	0.248267	−	1.40799i	0.812781	−	0.582570i	$-0.197953\pi$
$212$	−2.86406	−	2.40323i	−0.196705	−	0.165055i
$213$	−0.782488	−	0.284802i	−0.0536152	−	0.0195143i
$214$	−2.96246	+	1.07825i	−0.202510	+	0.0737075i
$215$	−4.08428	+	3.42711i	−0.278545	+	0.233727i
$216$	−0.199816	−	0.346091i	−0.0135957	−	0.0235485i
$217$	3.42170	−	5.92656i	0.232280	−	0.402321i
$218$	0.190694	+	1.08148i	0.0129154	+	0.0732469i
$219$	0.0195878	+	0.111088i	0.00132362	+	0.00750662i
$220$	−2.82253	+	4.88877i	−0.190295	+	0.329601i
$221$	9.65533	+	16.7235i	0.649488	+	1.12495i
$222$	0.102915	−	0.0863557i	0.00690719	−	0.00579582i
$223$	−1.83236	+	0.666925i	−0.122704	+	0.0446606i	−0.402642	−	0.915357i	$-0.631908\pi$
$223$	−1.83236	+	0.666925i	−0.122704	+	0.0446606i	0.279938	+	0.960018i	$0.409686\pi$
$224$	3.89565	+	1.41790i	0.260289	+	0.0947375i
$225$	−2.29324	−	1.92426i	−0.152883	−	0.128284i
$226$	0.314002	−	1.78079i	0.0208871	−	0.118457i
$227$	12.6099			0.836950			0.418475	−	0.908228i	$-0.362565\pi$
$227$	12.6099			0.836950			0.418475	+	0.908228i	$0.362565\pi$
$228$	−0.378815	−	0.565928i	−0.0250877	−	0.0374795i
$229$	−6.12765			−0.404926			−0.202463	−	0.979290i	$-0.564895\pi$
$229$	−6.12765			−0.404926			−0.202463	+	0.979290i	$0.564895\pi$
$230$	0.302531	−	1.71574i	0.0199483	−	0.113132i
$231$	0.298102	+	0.250137i	0.0196136	+	0.0164578i
$232$	5.69125	+	2.07145i	0.373649	+	0.135997i
$233$	−6.20868	+	2.25977i	−0.406744	+	0.148043i	−0.537286	−	0.843400i	$-0.680550\pi$
$233$	−6.20868	+	2.25977i	−0.406744	+	0.148043i	0.130542	+	0.991443i	$0.458328\pi$
$234$	3.12849	−	2.62512i	0.204516	−	0.171609i
$235$	−0.824805	−	1.42860i	−0.0538044	−	0.0931919i
$236$	3.47369	−	6.01660i	0.226118	−	0.391648i
$237$	−0.0334462	−	0.189683i	−0.00217256	−	0.0123212i
$238$	−0.184609	−	1.04697i	−0.0119664	−	0.0678650i
$239$	1.10191	−	1.90856i	0.0712766	−	0.123455i	−0.828184	−	0.560456i	$-0.810626\pi$
$239$	1.10191	−	1.90856i	0.0712766	−	0.123455i	0.899461	+	0.437001i	$0.143959\pi$
$240$	−0.149201	−	0.258423i	−0.00963087	−	0.0166812i
$241$	−0.0956409	+	0.0802523i	−0.00616077	+	0.00516950i	−0.645863	−	0.763453i	$-0.723502\pi$
$241$	−0.0956409	+	0.0802523i	−0.00616077	+	0.00516950i	0.639702	+	0.768623i	$0.279058\pi$
$242$	0.528656	−	0.192415i	0.0339833	−	0.0123689i
$243$	−2.02134	−	0.735707i	−0.129669	−	0.0471956i
$244$	11.8343	+	9.93017i	0.757615	+	0.635714i
$245$	−0.721207	+	4.09017i	−0.0460762	+	0.261311i
$246$	0.0919690			0.00586373
$247$	20.3435	−	19.5068i	1.29443	−	1.24119i
$248$	−3.38491			−0.214942
$249$	−0.158168	+	0.897017i	−0.0100235	+	0.0568462i
$250$	0.161623	+	0.135618i	0.0102219	+	0.00857721i
$251$	−3.49264	−	1.27122i	−0.220453	−	0.0802385i	0.229432	−	0.973325i	$-0.426313\pi$
$251$	−3.49264	−	1.27122i	−0.220453	−	0.0802385i	−0.449886	+	0.893086i	$0.648535\pi$
$252$	9.28133	−	3.37813i	0.584669	−	0.212802i
$253$	−18.2608	+	15.3226i	−1.14804	+	0.963323i
$254$	−1.37529	−	2.38207i	−0.0862935	−	0.149465i
$255$	−0.119303	+	0.206640i	−0.00747107	+	0.0129403i
$256$	2.18042	+	12.3658i	0.136276	+	0.772861i
$257$	−4.68428	−	26.5659i	−0.292198	−	1.65713i	−0.678379	−	0.734712i	$-0.737317\pi$
$257$	−4.68428	−	26.5659i	−0.292198	−	1.65713i	0.386182	−	0.922423i	$-0.373794\pi$
$258$	0.0449368	−	0.0778328i	0.00279764	−	0.00484566i
$259$	6.72351	+	11.6455i	0.417779	+	0.723614i
$260$	9.68601	−	8.12753i	0.600701	−	0.504048i
$261$	20.4153	−	7.43055i	1.26367	−	0.459940i
$262$	−0.0370911	−	0.0135001i	−0.00229150	−	0.000834036i
$263$	15.8386	+	13.2902i	0.976652	+	0.819508i	0.983581	−	0.180468i	$-0.0577612\pi$
$263$	15.8386	+	13.2902i	0.976652	+	0.819508i	−0.00692932	+	0.999976i	$0.502206\pi$
$264$	0.0334238	−	0.189556i	0.00205709	−	0.0116663i
$265$	1.91194			0.117449
$266$	−1.41975	+	0.626099i	−0.0870502	+	0.0383886i
$267$	−0.808231			−0.0494629
$268$	−0.769230	+	4.36252i	−0.0469882	+	0.266483i
$269$	−10.5139	−	8.82218i	−0.641042	−	0.537898i	0.263296	−	0.964715i	$-0.415190\pi$
$269$	−10.5139	−	8.82218i	−0.641042	−	0.537898i	−0.904338	+	0.426817i	$0.859635\pi$
$270$	0.0949393	+	0.0345551i	0.00577782	+	0.00210295i
$271$	5.05880	−	1.84125i	0.307300	−	0.111848i	−0.183767	−	0.982970i	$-0.558829\pi$
$271$	5.05880	−	1.84125i	0.307300	−	0.111848i	0.491067	+	0.871122i	$0.336607\pi$
$272$	8.54463	−	7.16979i	0.518094	−	0.434733i
$273$	−0.435815	−	0.754854i	−0.0263767	−	0.0456859i
$274$	−0.227397	+	0.393863i	−0.0137375	+	0.0237941i
$275$	−0.501285	−	2.84293i	−0.0302286	−	0.171435i
$276$	−0.224026	−	1.27051i	−0.0134848	−	0.0764759i
$277$	−11.3993	+	19.7441i	−0.684916	+	1.18631i	0.288547	+	0.957466i	$0.406828\pi$
$277$	−11.3993	+	19.7441i	−0.684916	+	1.18631i	−0.973463	+	0.228843i	$0.926506\pi$
$278$	0.833082	+	1.44294i	0.0499649	+	0.0865418i
$279$	−9.30140	+	7.80481i	−0.556861	+	0.467261i
$280$	−1.32315	+	0.481586i	−0.0790732	+	0.0287803i
$281$	16.1900	+	5.89267i	0.965814	+	0.351528i	0.776309	−	0.630352i	$-0.217090\pi$
$281$	16.1900	+	5.89267i	0.965814	+	0.351528i	0.189505	+	0.981880i	$0.439312\pi$
$282$	0.0213013	+	0.0178739i	0.00126848	+	0.00106438i
$283$	2.83026	−	16.0512i	0.168242	−	0.954146i	−0.777417	−	0.628986i	$-0.783470\pi$
$283$	2.83026	−	16.0512i	0.168242	−	0.954146i	0.945659	−	0.325161i	$-0.105418\pi$
$284$	−20.3809			−1.20939
$285$	0.334424	+	0.0971769i	0.0198096	+	0.00575626i
$286$	3.93821			0.232871
$287$	−1.59851	+	9.06558i	−0.0943568	+	0.535124i
$288$	−5.63470	−	4.72807i	−0.332028	−	0.278604i
$289$	7.59356	+	2.76383i	0.446680	+	0.162578i
$290$	−1.43882	+	0.523689i	−0.0844907	+	0.0307521i
$291$	−0.603969	+	0.506790i	−0.0354053	+	0.0297086i
$292$	1.38044	+	2.39099i	0.0807841	+	0.139922i
$293$	−12.6441	+	21.9002i	−0.738675	+	1.27942i	0.214416	+	0.976742i	$0.431215\pi$
$293$	−12.6441	+	21.9002i	−0.738675	+	1.27942i	−0.953092	+	0.302681i	$0.902118\pi$
$294$	−0.0121571	−	0.0689465i	−0.000709018	−	0.00402104i
$295$	0.616931	+	3.49879i	0.0359191	+	0.203707i
$296$	3.32561	−	5.76012i	0.193297	−	0.334800i
$297$	−0.691187	−	1.19717i	−0.0401067	−	0.0694669i
$298$	2.89250	−	2.42710i	0.167558	−	0.140598i
$299$	50.1733	−	18.2616i	2.90160	−	1.05609i
$300$	0.146812	+	0.0534354i	0.00847622	+	0.00308509i
$301$	6.89110	+	5.78232i	0.397197	+	0.333287i
$302$	0.107707	−	0.610834i	0.00619782	−	0.0351496i
$303$	0.333144			0.0191386
$304$	−13.1369	−	9.61573i	−0.753451	−	0.551500i
$305$	−7.90014			−0.452361
$306$	−0.327549	+	1.85762i	−0.0187247	+	0.106193i
$307$	13.1982	+	11.0746i	0.753259	+	0.632059i	0.936362	−	0.351035i	$-0.114170\pi$
$307$	13.1982	+	11.0746i	0.753259	+	0.632059i	−0.183104	+	0.983094i	$0.558614\pi$
$308$	8.95011	+	3.25757i	0.509980	+	0.185617i
$309$	0.943241	−	0.343312i	0.0536591	−	0.0195303i
$310$	0.655543	−	0.550066i	0.0372323	−	0.0312416i
$311$	−12.4862	−	21.6267i	−0.708028	−	1.22634i	−0.965588	−	0.260078i	$-0.916252\pi$
$311$	−12.4862	−	21.6267i	−0.708028	−	1.22634i	0.257560	−	0.966262i	$-0.417082\pi$
$312$	−0.215565	+	0.373369i	−0.0122039	+	0.0211378i
$313$	−2.92827	−	16.6071i	−0.165516	−	0.938687i	−0.948531	−	0.316684i	$-0.897430\pi$
$313$	−2.92827	−	16.6071i	−0.165516	−	0.938687i	0.783015	−	0.622002i	$-0.213681\pi$
$314$	0.247917	+	1.40601i	0.0139908	+	0.0793457i
$315$	−2.52546	+	4.37422i	−0.142293	+	0.246459i
$316$	−2.35710	−	4.08263i	−0.132598	−	0.229666i
$317$	18.4779	−	15.5048i	1.03782	−	0.870834i	0.0460593	−	0.998939i	$-0.485334\pi$
$317$	18.4779	−	15.5048i	1.03782	−	0.870834i	0.991761	+	0.128104i	$0.0408892\pi$
$318$	−0.0302852	+	0.0110229i	−0.00169831	+	0.000618134i
$319$	19.6867	+	7.16538i	1.10224	+	0.401184i
$320$	−5.32507	−	4.46827i	−0.297681	−	0.249784i
$321$	0.207305	−	1.17569i	0.0115707	−	0.0656205i
$322$	−2.93950			−0.163812
$323$	−1.40655	+	12.9416i	−0.0782624	+	0.720089i
$324$	−17.4871			−0.971506
$325$	−1.12281	+	6.36778i	−0.0622823	+	0.353221i
$326$	−0.146727	−	0.123118i	−0.00812644	−	0.00681889i
$327$	−0.390774	−	0.142230i	−0.0216099	−	0.00786534i
$328$	4.27863	−	1.55729i	0.236248	−	0.0859872i
$329$	−2.13211	+	1.78905i	−0.117547	+	0.0986335i
$330$	0.0243307	+	0.0421421i	0.00133936	+	0.00231985i
$331$	−7.77017	+	13.4583i	−0.427087	+	0.739736i	−0.996613	−	0.0822371i	$-0.973794\pi$
$331$	−7.77017	+	13.4583i	−0.427087	+	0.739736i	0.569526	+	0.821973i	$0.307127\pi$
$332$	3.87126	+	21.9550i	0.212463	+	1.20494i
$333$	−4.14304	−	23.4963i	−0.227037	−	1.28759i
$334$	−1.50553	+	2.60766i	−0.0823792	+	0.142685i
$335$	−1.13266	−	1.96183i	−0.0618841	−	0.107186i
$336$	−0.385681	+	0.323625i	−0.0210406	+	0.0176552i
$337$	−10.3419	+	3.76416i	−0.563361	+	0.205047i	−0.607973	−	0.793958i	$-0.708017\pi$
$337$	−10.3419	+	3.76416i	−0.563361	+	0.205047i	0.0446119	+	0.999004i	$0.485795\pi$
$338$	−5.71172	−	2.07890i	−0.310677	−	0.113077i
$339$	0.524554	+	0.440153i	0.0284898	+	0.0239058i
$340$	−1.01411	+	5.75131i	−0.0549979	+	0.311909i
$341$	−11.7088			−0.634067
$342$	2.74705	−	0.182324i	0.148544	−	0.00985894i
$343$	18.8181			1.01608
$344$	0.772645	−	4.38189i	0.0416582	−	0.236255i
$345$	0.505390	+	0.424073i	0.0272093	+	0.0228313i
$346$	−2.79099	−	1.01584i	−0.150045	−	0.0546118i
$347$	−28.6321	+	10.4212i	−1.53705	+	0.559441i	−0.965336	−	0.261010i	$-0.915944\pi$
$347$	−28.6321	+	10.4212i	−1.53705	+	0.559441i	−0.571716	+	0.820451i	$0.693722\pi$
$348$	−0.868569	+	0.728816i	−0.0465602	+	0.0390686i
$349$	−2.80872	−	4.86485i	−0.150347	−	0.260409i	0.781008	−	0.624521i	$-0.214706\pi$
$349$	−2.80872	−	4.86485i	−0.150347	−	0.260409i	−0.931355	+	0.364112i	$0.881373\pi$
$350$	0.177989	−	0.308285i	0.00951390	−	0.0164786i
$351$	0.537673	+	3.04929i	0.0286988	+	0.162759i
$352$	−1.23170	−	6.98532i	−0.0656499	−	0.372319i
$353$	3.74308	−	6.48321i	0.199224	−	0.345067i	−0.749053	−	0.662510i	$-0.769491\pi$
$353$	3.74308	−	6.48321i	0.199224	−	0.345067i	0.948277	+	0.317444i	$0.102824\pi$
$354$	−0.0299438	−	0.0518642i	−0.00159150	−	0.00275655i
$355$	7.98406	−	6.69942i	0.423750	−	0.355568i
$356$	−18.5889	+	6.76581i	−0.985210	+	0.358587i
$357$	0.378305	+	0.137692i	0.0200220	+	0.00728743i
$358$	2.54552	+	2.13594i	0.134535	+	0.112888i
$359$	−4.42550	+	25.0982i	−0.233569	+	1.32463i	0.612038	+	0.790828i	$0.290350\pi$
$359$	−4.42550	+	25.0982i	−0.233569	+	1.32463i	−0.845607	+	0.533806i	$0.820761\pi$
$360$	2.49830			0.131672
$361$	18.8333	−	2.51102i	0.991229	−	0.132159i
$362$	0.961728			0.0505473
$363$	−0.0369940	+	0.209803i	−0.00194168	+	0.0110118i
$364$	−16.3425	−	13.7130i	−0.856580	−	0.718756i
$365$	−1.32672	−	0.482886i	−0.0694436	−	0.0252754i
$366$	0.125139	−	0.0455468i	0.00654111	−	0.00238077i
$367$	−25.6366	+	21.5117i	−1.33822	+	1.12290i	−0.356141	+	0.934432i	$0.615908\pi$
$367$	−25.6366	+	21.5117i	−1.33822	+	1.12290i	−0.982079	+	0.188468i	$0.939648\pi$
$368$	−15.4205	−	26.7091i	−0.803850	−	1.39231i
$369$	8.16651	−	14.1448i	0.425132	−	0.736350i
$370$	0.291992	+	1.65597i	0.0151800	+	0.0860898i
$371$	−0.560167	−	3.17686i	−0.0290824	−	0.164935i
$372$	0.316844	−	0.548790i	0.0164276	−	0.0284534i
$373$	5.23935	+	9.07481i	0.271283	+	0.469876i	0.969191	−	0.246312i	$-0.0792187\pi$
$373$	5.23935	+	9.07481i	0.271283	+	0.469876i	−0.697908	+	0.716188i	$0.745885\pi$
$374$	−1.39341	+	1.16921i	−0.0720513	+	0.0604582i
$375$	−0.0750772	+	0.0273259i	−0.00387697	+	0.00141110i
$376$	1.29365	+	0.470849i	0.0667148	+	0.0242822i
$377$	−35.9471	−	30.1632i	−1.85137	−	1.55348i
$378$	0.0296008	−	0.167875i	0.00152250	−	0.00863454i
$379$	−14.2962			−0.734344			−0.367172	−	0.930153i	$-0.619674\pi$
$379$	−14.2962			−0.734344			−0.367172	+	0.930153i	$0.619674\pi$
$380$	8.50505	−	0.564486i	0.436300	−	0.0289575i
$381$	1.04159			0.0533625
$382$	−0.364862	+	2.06924i	−0.0186680	+	0.105871i
$383$	28.3295	+	23.7712i	1.44757	+	1.21465i	0.934331	+	0.356408i	$0.115999\pi$
$383$	28.3295	+	23.7712i	1.44757	+	1.21465i	0.513238	+	0.858246i	$0.328446\pi$
$384$	0.479053	+	0.174361i	0.0244466	+	0.00889783i
$385$	−4.57692	+	1.66586i	−0.233262	+	0.0849003i
$386$	−3.45893	+	2.90238i	−0.176055	+	0.147727i
$387$	−7.98045	−	13.8225i	−0.405669	−	0.702639i
$388$	−9.64857	+	16.7118i	−0.489832	+	0.848413i
$389$	−2.88385	−	16.3551i	−0.146217	−	0.829237i	−0.966382	−	0.257110i	$-0.917230\pi$
$389$	−2.88385	−	16.3551i	−0.146217	−	0.829237i	0.820165	−	0.572127i	$-0.193881\pi$
$390$	−0.0189268	−	0.107339i	−0.000958397	−	0.00543534i
$391$	−12.3305	+	21.3571i	−0.623581	+	1.08007i
$392$	−1.73304	−	3.00171i	−0.0875316	−	0.151609i
$393$	0.0114502	−	0.00960783i	0.000577584	−	0.000484651i
$394$	−0.270970	+	0.0986252i	−0.0136513	+	0.00496866i
$395$	2.26537	+	0.824529i	0.113983	+	0.0414866i
$396$	−12.9455	−	10.8626i	−0.650536	−	0.545865i
$397$	−4.62570	+	26.2337i	−0.232157	+	1.31663i	0.616361	+	0.787464i	$0.288606\pi$
$397$	−4.62570	+	26.2337i	−0.232157	+	1.31663i	−0.848518	+	0.529166i	$0.822505\pi$
$398$	−3.78419			−0.189684
$399$	0.0634878	−	0.584148i	0.00317836	−	0.0292440i
$400$	3.73490			0.186745
$401$	0.224832	−	1.27508i	0.0112276	−	0.0636747i	−0.978679	−	0.205395i	$-0.934152\pi$
$401$	0.224832	−	1.27508i	0.0112276	−	0.0636747i	0.989907	+	0.141720i	$0.0452633\pi$
$402$	0.0292521	+	0.0245454i	0.00145896	+	0.00122421i
$403$	24.6445	+	8.96988i	1.22763	+	0.446821i
$404$	7.66215	−	2.78879i	0.381206	−	0.138748i
$405$	6.85042	−	5.74819i	0.340400	−	0.285630i
$406$	1.29171	+	2.23731i	0.0641066	+	0.111036i
$407$	11.5037	−	19.9250i	0.570216	−	0.987643i
$408$	−0.0345782	−	0.196102i	−0.00171187	−	0.00970852i
$409$	4.69402	+	26.6211i	0.232104	+	1.31633i	0.848627	+	0.528992i	$0.177430\pi$
$409$	4.69402	+	26.6211i	0.232104	+	1.31633i	−0.616522	+	0.787337i	$0.711459\pi$
$410$	−0.575558	+	0.996896i	−0.0284248	+	0.0492332i
$411$	−0.0861109	−	0.149148i	−0.00424754	−	0.00735695i
$412$	18.8201	−	15.7920i	0.927202	−	0.778015i
$413$	5.63282	−	2.05018i	0.277173	−	0.100883i
$414$	4.90096	+	1.78380i	0.240869	+	0.0876692i
$415$	−8.73335	−	7.32815i	−0.428703	−	0.359725i
$416$	−2.75884	+	15.6462i	−0.135263	+	0.767117i
$417$	−0.630945			−0.0308975
$418$	2.14228	+	1.56807i	0.104782	+	0.0766970i
$419$	−4.15498			−0.202984			−0.101492	−	0.994836i	$-0.532362\pi$
$419$	−4.15498			−0.202984			−0.101492	+	0.994836i	$0.532362\pi$
$420$	0.0457742	−	0.259599i	0.00223355	−	0.0126671i
$421$	−20.2274	−	16.9728i	−0.985822	−	0.827203i	−0.000864321	−	1.00000i	$-0.500275\pi$
$421$	−20.2274	−	16.9728i	−0.985822	−	0.827203i	−0.984957	+	0.172797i	$0.944720\pi$
$422$	−4.11742	−	1.49862i	−0.200433	−	0.0729516i
$423$	4.64049	−	1.68900i	0.225628	−	0.0821219i
$424$	−1.22230	+	1.02563i	−0.0593599	+	0.0498089i
$425$	−1.49324	−	2.58637i	−0.0724329	−	0.125458i
$426$	−0.0878437	+	0.152150i	−0.00425604	+	0.00737168i
$427$	2.31461	+	13.1268i	0.112012	+	0.635252i
$428$	−5.07391	−	28.7756i	−0.245257	−	1.39092i
$429$	−0.745664	+	1.29153i	−0.0360010	+	0.0623555i
$430$	0.562445	+	0.974183i	0.0271235	+	0.0469793i
$431$	−7.44700	+	6.24878i	−0.358710	+	0.300993i	−0.804276	−	0.594256i	$-0.797447\pi$
$431$	−7.44700	+	6.24878i	−0.358710	+	0.300993i	0.445567	+	0.895249i	$0.353002\pi$
$432$	1.68064	−	0.611705i	0.0808600	−	0.0294306i
$433$	0.620049	+	0.225679i	0.0297976	+	0.0108455i	0.356876	−	0.934152i	$-0.383842\pi$
$433$	0.620049	+	0.225679i	0.0297976	+	0.0108455i	−0.327078	+	0.944997i	$0.606064\pi$
$434$	−1.10605	−	0.928086i	−0.0530921	−	0.0445496i
$435$	0.100685	−	0.571014i	0.00482749	−	0.0273780i
$436$	−10.1782			−0.487449
$437$	34.5641	+	10.0436i	1.65342	+	0.480452i
$438$	0.0237993			0.00113717
$439$	4.72146	−	26.7767i	0.225343	−	1.27798i	−0.636686	−	0.771123i	$-0.719695\pi$
$439$	4.72146	−	26.7767i	0.225343	−	1.27798i	0.862029	−	0.506860i	$-0.169194\pi$
$440$	1.84551	+	1.54857i	0.0879813	+	0.0738251i
$441$	−11.6835	−	4.25243i	−0.556355	−	0.202497i
$442$	3.82853	−	1.39347i	0.182104	−	0.0662806i
$443$	28.9473	−	24.2897i	1.37533	−	1.15404i	0.404424	−	0.914572i	$-0.367472\pi$
$443$	28.9473	−	24.2897i	1.37533	−	1.15404i	0.970905	−	0.239466i	$-0.0769723\pi$
$444$	0.622586	+	1.07835i	0.0295466	+	0.0511763i
$445$	5.05805	−	8.76080i	0.239775	−	0.415302i
$446$	0.0714405	+	0.405159i	0.00338280	+	0.0191848i
$447$	0.248292	+	1.40814i	0.0117438	+	0.0666025i
$448$	−5.86429	+	10.1572i	−0.277062	+	0.479885i
$449$	8.27496	+	14.3327i	0.390520	+	0.676400i	0.992518	−	0.122097i	$-0.0389620\pi$
$449$	8.27496	+	14.3327i	0.390520	+	0.676400i	−0.601998	+	0.798497i	$0.705629\pi$
$450$	−0.483837	+	0.405987i	−0.0228083	+	0.0191384i
$451$	14.8003	−	5.38687i	0.696919	−	0.253658i
$452$	15.7490	+	5.73218i	0.740772	+	0.269619i
$453$	0.179928	+	0.150978i	0.00845377	+	0.00709356i
$454$	0.461989	−	2.62007i	0.0216822	−	0.122966i
$455$	10.9096			0.511451
$456$	−0.265925	+	0.117271i	−0.0124531	+	0.00549173i
$457$	11.4492			0.535571			0.267785	−	0.963479i	$-0.413708\pi$
$457$	11.4492			0.535571			0.267785	+	0.963479i	$0.413708\pi$
$458$	−0.224498	+	1.27319i	−0.0104901	+	0.0594923i
$459$	−1.09553	−	0.919262i	−0.0511352	−	0.0429075i
$460$	15.1737	+	5.52277i	0.707477	+	0.257500i
$461$	10.1108	−	3.68002i	0.470905	−	0.171396i	−0.0956571	−	0.995414i	$-0.530495\pi$
$461$	10.1108	−	3.68002i	0.470905	−	0.171396i	0.566562	+	0.824019i	$0.308273\pi$
$462$	0.0628946	−	0.0527748i	0.00292612	−	0.00245531i
$463$	−8.54409	−	14.7988i	−0.397078	−	0.687758i	0.596286	−	0.802772i	$-0.296642\pi$
$463$	−8.54409	−	14.7988i	−0.397078	−	0.687758i	−0.993364	+	0.115013i	$0.963309\pi$
$464$	−13.5526	+	23.4737i	−0.629162	+	1.08974i
$465$	0.0562718	+	0.319133i	0.00260954	+	0.0147995i
$466$	0.242065	+	1.37282i	0.0112134	+	0.0635946i
$467$	−15.9280	+	27.5880i	−0.737058	+	1.27662i	0.216756	+	0.976226i	$0.430452\pi$
$467$	−15.9280	+	27.5880i	−0.737058	+	1.27662i	−0.953815	+	0.300396i	$0.902881\pi$
$468$	18.9259	+	32.7807i	0.874851	+	1.51529i
$469$	−2.92792	+	2.45682i	−0.135199	+	0.113445i
$470$	−0.327051	+	0.119037i	−0.0150858	+	0.00549077i
$471$	−0.508038	−	0.184911i	−0.0234092	−	0.00852024i
$472$	−2.27127	−	1.90582i	−0.104544	−	0.0877225i
$473$	2.67267	−	15.1575i	0.122890	−	0.696941i
$474$	−0.0406374			−0.00186654
$475$	−3.14623	+	3.01683i	−0.144359	+	0.138422i
$476$	9.85346			0.451633
$477$	−0.993894	+	5.63665i	−0.0455073	+	0.258085i
$478$	−0.356187	−	0.298877i	−0.0162916	−	0.0136703i
$479$	3.61807	+	1.31687i	0.165314	+	0.0601693i	0.423351	−	0.905966i	$-0.360854\pi$
$479$	3.61807	+	1.31687i	0.165314	+	0.0601693i	−0.258038	+	0.966135i	$0.583076\pi$
$480$	−0.184471	+	0.0671421i	−0.00841993	+	0.00306460i
$481$	−39.4769	+	33.1250i	−1.79999	+	1.51037i
$482$	0.0131707	+	0.0228123i	0.000599909	+	0.00103907i
$483$	0.556566	−	0.964000i	0.0253246	−	0.0438635i
$484$	0.905448	+	5.13505i	0.0411567	+	0.233411i
$485$	−1.71360	−	9.71828i	−0.0778104	−	0.441284i
$486$	−0.226919	+	0.393036i	−0.0102933	+	0.0178285i
$487$	−17.7037	−	30.6638i	−0.802233	−	1.38951i	−0.918143	−	0.396249i	$-0.870312\pi$
$487$	−17.7037	−	30.6638i	−0.802233	−	1.38951i	0.115910	−	0.993260i	$-0.463022\pi$
$488$	5.05053	−	4.23790i	0.228627	−	0.191841i
$489$	0.0681576	−	0.0248074i	0.00308220	−	0.00112183i
$490$	0.823425	+	0.299702i	0.0371985	+	0.0135392i
$491$	15.5179	+	13.0210i	0.700311	+	0.587631i	0.921862	−	0.387518i	$-0.126667\pi$
$491$	15.5179	+	13.0210i	0.700311	+	0.587631i	−0.221551	+	0.975149i	$0.571112\pi$
$492$	−0.148019	+	0.839458i	−0.00667322	+	0.0378457i
$493$	21.6737			0.976136
$494$	−3.30777	−	4.94162i	−0.148824	−	0.222334i
$495$	8.64192			0.388426
$496$	2.63055	−	14.9186i	0.118115	−	0.669866i
$497$	−13.4709	−	11.3034i	−0.604253	−	0.507029i
$498$	0.180586	+	0.0657279i	0.00809225	+	0.00294534i
$499$	−0.553880	+	0.201596i	−0.0247951	+	0.00902467i	−0.354388	−	0.935099i	$-0.615311\pi$
$499$	−0.553880	+	0.201596i	−0.0247951	+	0.00902467i	0.329593	+	0.944123i	$0.393089\pi$
$500$	−1.49799	+	1.25696i	−0.0669921	+	0.0562131i
$501$	−0.570118	−	0.987473i	−0.0254710	−	0.0441170i
$502$	−0.392091	+	0.679121i	−0.0174999	+	0.0303107i
$503$	−1.97091	−	11.1776i	−0.0878787	−	0.498385i	−0.996698	−	0.0811953i	$-0.974126\pi$
$503$	−1.97091	−	11.1776i	−0.0878787	−	0.498385i	0.908820	−	0.417190i	$-0.136985\pi$
$504$	−0.731962	−	4.15116i	−0.0326042	−	0.184908i
$505$	−2.08487	+	3.61111i	−0.0927757	+	0.160692i
$506$	2.51468	+	4.35556i	0.111791	+	0.193628i
$507$	1.76323	−	1.47953i	0.0783078	−	0.0657080i
$508$	23.9561	−	8.71931i	1.06288	−	0.386857i
$509$	−11.1499	−	4.05822i	−0.494209	−	0.179877i	0.0828785	−	0.996560i	$-0.473589\pi$
$509$	−11.1499	−	4.05822i	−0.494209	−	0.179877i	−0.577088	+	0.816682i	$0.695811\pi$
$510$	0.0385643	+	0.0323593i	0.00170766	+	0.00143289i
$511$	−0.413654	+	2.34595i	−0.0182990	+	0.103779i
$512$	15.4108			0.681069
$513$	−0.921654	+	1.87282i	−0.0406920	+	0.0826869i
$514$	−5.69143			−0.251038
$515$	−2.18165	+	12.3727i	−0.0961349	+	0.545208i
$516$	0.638105	+	0.535434i	0.0280910	+	0.0235712i
$517$	4.47488	+	1.62872i	0.196805	+	0.0716312i
$518$	2.66600	−	0.970346i	0.117137	−	0.0426346i
$519$	0.861589	−	0.722959i	0.0378196	−	0.0317344i
$520$	−2.69808	−	4.67321i	−0.118319	−	0.204934i
$521$	12.2611	−	21.2368i	0.537166	−	0.930400i	−0.461889	−	0.886938i	$-0.652828\pi$
$521$	12.2611	−	21.2368i	0.537166	−	0.930400i	0.999055	−	0.0434617i	$-0.0138386\pi$
$522$	−0.795955	−	4.51408i	−0.0348380	−	0.197576i
$523$	3.68721	+	20.9112i	0.161230	+	0.914382i	0.952867	+	0.303390i	$0.0981184\pi$
$523$	3.68721	+	20.9112i	0.161230	+	0.914382i	−0.791636	+	0.610993i	$0.790770\pi$
$524$	0.182919	−	0.316826i	0.00799087	−	0.0138406i
$525$	0.0674010	+	0.116742i	0.00294162	+	0.00509503i
$526$	3.34169	−	2.80401i	0.145705	−	0.122261i
$527$	−11.3827	+	4.14296i	−0.495838	+	0.180470i
$528$	0.809471	+	0.294623i	0.0352277	+	0.0128218i
$529$	34.6152	+	29.0456i	1.50501	+	1.26285i
$530$	0.0700475	−	0.397259i	0.00304267	−	0.0172558i
$531$	−10.6356			−0.461546
$532$	−3.42979	−	13.9666i	−0.148700	−	0.605528i
$533$	−35.2782			−1.52807
$534$	−0.0296111	+	0.167933i	−0.00128140	+	0.00726717i
$535$	11.4465	+	9.60474i	0.494874	+	0.415249i
$536$	1.77650	+	0.646594i	0.0767332	+	0.0279286i
$537$	−1.18245	+	0.430376i	−0.0510264	+	0.0185721i
$538$	−2.21825	+	1.86134i	−0.0956357	+	0.0802479i
$539$	−5.99478	−	10.3833i	−0.258214	−	0.447239i
$540$	−0.468205	+	0.810955i	−0.0201483	+	0.0348979i
$541$	2.57449	+	14.6006i	0.110686	+	0.627730i	0.988796	+	0.149272i	$0.0476930\pi$
$541$	2.57449	+	14.6006i	0.110686	+	0.627730i	−0.878110	+	0.478458i	$0.841196\pi$
$542$	−0.197233	−	1.11857i	−0.00847190	−	0.0480465i
$543$	−0.182094	+	0.315396i	−0.00781441	+	0.0135350i
$544$	−3.66903	−	6.35495i	−0.157308	−	0.272466i
$545$	3.98723	−	3.34568i	0.170794	−	0.143313i
$546$	−0.172809	+	0.0628974i	−0.00739555	+	0.00269176i
$547$	−7.48131	−	2.72298i	−0.319878	−	0.116426i	0.177091	−	0.984195i	$-0.443331\pi$
$547$	−7.48131	−	2.72298i	−0.319878	−	0.116426i	−0.496969	+	0.867769i	$0.665554\pi$
$548$	−3.22905	−	2.70949i	−0.137938	−	0.115744i
$549$	4.10678	−	23.2907i	0.175273	−	0.994022i
$550$	−0.609064			−0.0259706
$551$	−7.54419	−	30.7209i	−0.321393	−	1.30876i
$552$	−0.550581			−0.0234343
$553$	0.706315	−	4.00571i	0.0300355	−	0.170340i
$554$	3.68476	+	3.09188i	0.156551	+	0.131362i
$555$	−0.598357	−	0.217784i	−0.0253989	−	0.00924443i
$556$	−14.5114	+	5.28172i	−0.615421	+	0.223995i
$557$	−6.20896	+	5.20994i	−0.263082	+	0.220752i	−0.764781	−	0.644290i	$-0.777153\pi$
$557$	−6.20896	+	5.20994i	−0.263082	+	0.220752i	0.501699	+	0.865042i	$0.332708\pi$
$558$	1.28089	+	2.21857i	0.0542246	+	0.0939197i
$559$	−17.2372	+	29.8558i	−0.729057	+	1.26276i
$560$	−1.09427	−	6.20589i	−0.0462411	−	0.262247i
$561$	−0.119610	−	0.678342i	−0.00504994	−	0.0286396i
$562$	1.81752	−	3.14804i	0.0766675	−	0.132792i
$563$	−4.14912	−	7.18648i	−0.174864	−	0.302874i	0.765250	−	0.643733i	$-0.222615\pi$
$563$	−4.14912	−	7.18648i	−0.174864	−	0.302874i	−0.940114	+	0.340859i	$0.889282\pi$
$564$	−0.197430	+	0.165663i	−0.00831329	+	0.00697568i
$565$	−8.05377	+	2.93133i	−0.338825	+	0.123322i
$566$	−3.23141	−	1.17614i	−0.135826	−	0.0494367i
$567$	−11.5582	−	9.69850i	−0.485400	−	0.407299i
$568$	−1.51039	+	8.56583i	−0.0633745	+	0.359414i
$569$	−7.28643			−0.305463			−0.152732	−	0.988268i	$-0.548807\pi$
$569$	−7.28643			−0.305463			−0.152732	+	0.988268i	$0.548807\pi$
$570$	0.0324435	−	0.0659257i	0.00135891	−	0.00276133i
$571$	−20.6974			−0.866159			−0.433080	−	0.901356i	$-0.642573\pi$
$571$	−20.6974			−0.866159			−0.433080	+	0.901356i	$0.642573\pi$
$572$	−6.33834	+	35.9465i	−0.265019	+	1.50300i
$573$	−0.609518	−	0.511446i	−0.0254630	−	0.0213660i
$574$	1.82507	+	0.664270i	0.0761768	+	0.0277261i
$575$	−7.75955	+	2.82424i	−0.323595	+	0.117779i
$576$	15.9412	−	13.3763i	0.664218	−	0.557345i
$577$	−7.29547	−	12.6361i	−0.303715	−	0.526049i	0.673260	−	0.739406i	$-0.264894\pi$
$577$	−7.29547	−	12.6361i	−0.303715	−	0.526049i	−0.976974	+	0.213357i	$0.931560\pi$
$578$	0.852469	−	1.47652i	0.0354580	−	0.0614151i
$579$	−0.296914	−	1.68389i	−0.0123393	−	0.0699799i
$580$	−2.46433	−	13.9759i	−0.102326	−	0.580317i
$581$	−9.61769	+	16.6583i	−0.399009	+	0.691104i
$582$	0.0831724	+	0.144059i	0.00344761	+	0.00597143i
$583$	−4.22807	+	3.54777i	−0.175109	+	0.146934i
$584$	1.10720	−	0.402989i	0.0458164	−	0.0166758i
$585$	−18.1894	−	6.62040i	−0.752039	−	0.273720i
$586$	4.08715	+	3.42952i	0.168838	+	0.141672i
$587$	−1.82464	+	10.3481i	−0.0753110	+	0.427110i	0.923719	+	0.383071i	$0.125134\pi$
$587$	−1.82464	+	10.3481i	−0.0753110	+	0.427110i	−0.999030	+	0.0440388i	$0.985977\pi$
$588$	0.648883			0.0267595
$589$	9.83443	+	14.6920i	0.405220	+	0.605375i
$590$	0.749575			0.0308595
$591$	0.0189618	−	0.107538i	0.000779985	−	0.00442352i
$592$	22.8026	+	19.1337i	0.937183	+	0.786389i
$593$	−22.8495	−	8.31653i	−0.938316	−	0.341519i	−0.172815	−	0.984954i	$-0.555286\pi$
$593$	−22.8495	−	8.31653i	−0.938316	−	0.341519i	−0.765501	+	0.643435i	$0.777509\pi$
$594$	−0.274069	+	0.0997530i	−0.0112452	+	0.00409292i
$595$	−3.86001	+	3.23893i	−0.158245	+	0.132783i
$596$	17.4983	+	30.3079i	0.716757	+	1.24146i
$597$	0.716500	−	1.24101i	0.0293244	−	0.0507913i
$598$	−1.95617	−	11.0940i	−0.0799936	−	0.453666i
$599$	−6.58292	−	37.3336i	−0.268971	−	1.52541i	−0.757484	−	0.652854i	$-0.773572\pi$
$599$	−6.58292	−	37.3336i	−0.268971	−	1.52541i	0.488513	−	0.872557i	$-0.337539\pi$
$600$	0.0333381	−	0.0577433i	0.00136102	−	0.00235736i
$601$	−12.9738	−	22.4713i	−0.529213	−	0.916623i	−0.999420	−	0.0340669i	$-0.989154\pi$
$601$	−12.9738	−	22.4713i	−0.529213	−	0.916623i	0.470207	−	0.882556i	$-0.344179\pi$
$602$	1.45391	−	1.21998i	0.0592569	−	0.0497225i
$603$	6.37255	−	2.31942i	0.259510	−	0.0944541i
$604$	5.40211	+	1.96621i	0.219809	+	0.0800039i
$605$	−2.04264	−	1.71398i	−0.0830453	−	0.0696833i
$606$	0.0122054	−	0.0692202i	0.000495810	−	0.00281188i
$607$	−11.5300			−0.467988			−0.233994	−	0.972238i	$-0.575180\pi$
$607$	−11.5300			−0.467988			−0.233994	+	0.972238i	$0.575180\pi$
$608$	−7.73056	+	7.41261i	−0.313516	+	0.300621i
$609$	−0.978294			−0.0396425
$610$	−0.289437	+	1.64148i	−0.0117190	+	0.0664615i
$611$	−8.17093	−	6.85623i	−0.330561	−	0.277373i
$612$	−16.4285	−	5.97948i	−0.664082	−	0.241706i
$613$	−21.2917	+	7.74954i	−0.859963	+	0.313001i	−0.734096	−	0.679046i	$-0.762394\pi$
$613$	−21.2917	+	7.74954i	−0.859963	+	0.313001i	−0.125868	+	0.992047i	$0.540171\pi$
$614$	2.78459	−	2.33655i	0.112377	−	0.0942956i
$615$	−0.217953	−	0.377506i	−0.00878871	−	0.0152225i
$616$	2.03239	−	3.52020i	0.0818872	−	0.141833i
$617$	1.03785	+	5.88595i	0.0417823	+	0.236959i	0.998546	−	0.0539072i	$-0.0171675\pi$
$617$	1.03785	+	5.88595i	0.0417823	+	0.236959i	−0.956764	+	0.290867i	$0.906056\pi$
$618$	−0.0367753	−	0.208563i	−0.00147932	−	0.00838963i
$619$	17.1031	−	29.6234i	0.687431	−	1.19067i	−0.285235	−	0.958458i	$-0.592072\pi$
$619$	17.1031	−	29.6234i	0.687431	−	1.19067i	0.972666	−	0.232208i	$-0.0745951\pi$
$620$	3.96573	+	6.86884i	0.159268	+	0.275859i
$621$	−3.02912	+	2.54173i	−0.121554	+	0.101996i
$622$	−4.95103	+	1.80203i	−0.198518	+	0.0722547i
$623$	−16.0388	−	5.83766i	−0.642582	−	0.233881i
$624$	−1.47806	−	1.24024i	−0.0591697	−	0.0496492i
$625$	0.173648	−	0.984808i	0.00694593	−	0.0393923i
$626$	−3.55787			−0.142201
$627$	−0.919866	+	0.405656i	−0.0367359	+	0.0162003i
$628$	−13.2325			−0.528035
$629$	4.13317	−	23.4404i	0.164800	−	0.934629i
$630$	0.816343	+	0.684993i	0.0325239	+	0.0272908i
$631$	13.3916	+	4.87414i	0.533111	+	0.194036i	0.594527	−	0.804076i	$-0.297339\pi$
$631$	13.3916	+	4.87414i	0.533111	+	0.194036i	−0.0614161	+	0.998112i	$0.519562\pi$
$632$	−1.89055	+	0.688105i	−0.0752021	+	0.0273713i
$633$	1.27106	−	1.06655i	0.0505202	−	0.0423915i
$634$	−2.54458	−	4.40735i	−0.101058	−	0.175038i
$635$	−6.51847	+	11.2903i	−0.258678	+	0.448043i
$636$	−0.0518706	−	0.294173i	−0.00205680	−	0.0116647i
$637$	4.66333	+	26.4471i	0.184768	+	1.04787i
$638$	2.21007	−	3.82795i	0.0874975	−	0.151550i
$639$	15.6004	+	27.0207i	0.617142	+	1.06892i
$640$	−4.88798	+	4.10150i	−0.193214	+	0.162126i
$641$	37.3475	−	13.5934i	1.47514	−	0.536906i	0.525647	−	0.850703i	$-0.323823\pi$
$641$	37.3475	−	13.5934i	1.47514	−	0.536906i	0.949490	+	0.313797i	$0.101601\pi$
$642$	−0.236687	−	0.0861471i	−0.00934130	−	0.00339996i
$643$	12.1851	+	10.2245i	0.480532	+	0.403214i	0.850619	−	0.525783i	$-0.176228\pi$
$643$	12.1851	+	10.2245i	0.480532	+	0.403214i	−0.370087	+	0.928997i	$0.620672\pi$
$644$	4.73096	−	26.8306i	0.186426	−	1.05727i
$645$	−0.425974			−0.0167727
$646$	2.63745	+	0.766390i	0.103769	+	0.0301532i
$647$	18.8549			0.741262			0.370631	−	0.928780i	$-0.379142\pi$
$647$	18.8549			0.741262			0.370631	+	0.928780i	$0.379142\pi$
$648$	−1.29593	+	7.34960i	−0.0509090	+	0.288719i
$649$	−7.85659	−	6.59246i	−0.308398	−	0.258777i
$650$	1.28195	+	0.466592i	0.0502822	+	0.0183012i
$651$	0.513784	−	0.187002i	0.0201368	−	0.00732919i
$652$	1.35993	−	1.14111i	0.0532588	−	0.0446894i
$653$	21.2626	+	36.8279i	0.832070	+	1.44119i	0.896394	+	0.443259i	$0.146178\pi$
$653$	21.2626	+	36.8279i	0.832070	+	1.44119i	−0.0643232	+	0.997929i	$0.520489\pi$
$654$	−0.0438691	+	0.0759835i	−0.00171542	+	0.00297119i
$655$	0.0324867	+	0.184241i	0.00126936	+	0.00719890i
$656$	3.53850	+	20.0678i	0.138155	+	0.783517i
$657$	2.11329	−	3.66032i	0.0824473	−	0.142803i
$658$	0.293612	+	0.508551i	0.0114462	+	0.0198254i
$659$	−35.1057	+	29.4572i	−1.36752	+	1.14749i	−0.393945	+	0.919134i	$0.628890\pi$
$659$	−35.1057	+	29.4572i	−1.36752	+	1.14749i	−0.973578	+	0.228354i	$0.926666\pi$
$660$	−0.423816	+	0.154256i	−0.0164970	+	0.00600442i
$661$	43.3834	+	15.7903i	1.68742	+	0.614170i	0.994296	−	0.106652i	$-0.0340131\pi$
$661$	43.3834	+	15.7903i	1.68742	+	0.614170i	0.693121	+	0.720822i	$0.256235\pi$
$662$	2.51167	+	2.10754i	0.0976189	+	0.0819120i
$663$	−0.267910	+	1.51940i	−0.0104048	+	0.0590084i
$664$	9.51427			0.369225
$665$	5.93454	+	4.34387i	0.230132	+	0.168448i
$666$	−5.03382			−0.195056
$667$	10.4062	−	59.0167i	0.402931	−	2.28514i
$668$	−21.3787	−	17.9388i	−0.827166	−	0.694074i
$669$	−0.146397	−	0.0532843i	−0.00566005	−	0.00206009i
$670$	−0.449124	+	0.163468i	−0.0173512	+	0.00631531i
$671$	17.4704	−	14.6594i	0.674437	−	0.565920i
$672$	0.165610	+	0.286845i	0.00638855	+	0.0110653i
$673$	−2.74410	+	4.75292i	−0.105777	+	0.183212i	−0.914056	−	0.405589i	$-0.867066\pi$
$673$	−2.74410	+	4.75292i	−0.105777	+	0.183212i	0.808278	+	0.588801i	$0.200400\pi$
$674$	0.403213	+	2.28674i	0.0155312	+	0.0880818i
$675$	−0.0831537	−	0.471588i	−0.00320059	−	0.0181514i
$676$	28.1681	−	48.7885i	1.08339	−	1.87648i
$677$	14.7154	+	25.4878i	0.565557	+	0.979574i	0.996998	+	0.0774324i	$0.0246722\pi$
$677$	14.7154	+	25.4878i	0.565557	+	0.979574i	−0.431440	+	0.902141i	$0.641994\pi$
$678$	0.110672	−	0.0928650i	0.00425034	−	0.00356646i
$679$	−15.6458	+	5.69460i	−0.600430	+	0.218539i
$680$	2.34204	+	0.852434i	0.0898133	+	0.0326894i
$681$	0.771771	+	0.647593i	0.0295743	+	0.0248158i
$682$	−0.428975	+	2.43284i	−0.0164263	+	0.0931581i
$683$	−27.4543			−1.05051			−0.525254	−	0.850945i	$-0.676030\pi$
$683$	−27.4543			−1.05051			−0.525254	+	0.850945i	$0.676030\pi$
$684$	−2.75705	+	25.3675i	−0.105419	+	0.969951i
$685$	2.15559			0.0823608
$686$	0.689437	−	3.90999i	0.0263228	−	0.149284i
$687$	−0.375033	−	0.314690i	−0.0143084	−	0.0120062i
$688$	18.7122	+	6.81069i	0.713397	+	0.259655i
$689$	11.6170	−	4.22826i	0.442574	−	0.161084i
$690$	0.106629	−	0.0894724i	0.00405930	−	0.00340616i
$691$	−1.71390	−	2.96856i	−0.0651997	−	0.112929i	0.831583	−	0.555401i	$-0.187435\pi$
$691$	−1.71390	−	2.96856i	−0.0651997	−	0.112929i	−0.896783	+	0.442471i	$0.854102\pi$
$692$	13.7641	−	23.8402i	0.523233	−	0.906267i
$693$	−2.53195	−	14.3594i	−0.0961806	−	0.545468i
$694$	1.11631	+	6.33094i	0.0423747	+	0.240319i
$695$	3.94856	−	6.83911i	0.149777	−	0.259422i
$696$	0.241944	+	0.419059i	0.00917085	+	0.0158844i
$697$	12.4820	−	10.4737i	0.472790	−	0.396718i
$698$	−1.11371	+	0.405358i	−0.0421546	+	0.0153430i
$699$	−0.496045	−	0.180546i	−0.0187622	−	0.00682887i
$700$	2.52745	+	2.12078i	0.0955286	+	0.0801580i
$701$	−0.566267	+	3.21146i	−0.0213876	+	0.121295i	−0.993632	−	0.112671i	$-0.964059\pi$
$701$	−0.566267	+	3.21146i	−0.0213876	+	0.121295i	0.972245	+	0.233966i	$0.0751705\pi$
$702$	0.653276			0.0246563
$703$	−34.6637	+	2.30065i	−1.30737	+	0.0867707i
$704$	20.0672			0.756309
$705$	0.0228862	−	0.129794i	0.000861945	−	0.00488833i
$706$	−1.20994	−	1.01526i	−0.0455365	−	0.0382097i
$707$	6.61103	+	2.40622i	0.248634	+	0.0904952i
$708$	0.521590	−	0.189843i	0.0196025	−	0.00713474i
$709$	−13.1285	+	11.0161i	−0.493052	+	0.413720i	−0.855118	−	0.518433i	$-0.826516\pi$
$709$	−13.1285	+	11.0161i	−0.493052	+	0.413720i	0.362067	+	0.932152i	$0.382071\pi$
$710$	−1.09948	−	1.90436i	−0.0412628	−	0.0714693i
$711$	−3.60845	+	6.25001i	−0.135327	+	0.234394i
$712$	1.46599	+	8.31406i	0.0549404	+	0.311583i
$713$	5.81593	+	32.9838i	0.217808	+	1.23525i
$714$	0.0424693	−	0.0735590i	0.00158937	−	0.00275288i
$715$	−9.33298	−	16.1652i	−0.349034	−	0.604544i
$716$	−23.5930	+	19.7968i	−0.881710	+	0.739843i
$717$	0.165457	−	0.0602213i	0.00617909	−	0.00224900i
$718$	5.05273	+	1.83904i	0.188566	+	0.0686325i
$719$	4.76900	+	4.00167i	0.177854	+	0.149237i	0.727369	−	0.686247i	$-0.240743\pi$
$719$	4.76900	+	4.00167i	0.177854	+	0.149237i	−0.549515	+	0.835484i	$0.685187\pi$
$720$	−1.94153	+	11.0110i	−0.0723567	+	0.410355i
$721$	21.1977			0.789442
$722$	0.168259	−	4.00516i	0.00626197	−	0.149056i
$723$	−0.00997498			−0.000370974
$724$	−1.54785	+	8.77829i	−0.0575253	+	0.326242i
$725$	5.55939	+	4.66488i	0.206471	+	0.173249i
$726$	0.0422373	+	0.0153731i	0.00156757	+	0.000570549i
$727$	39.7667	−	14.4739i	1.47487	−	0.536807i	0.525449	−	0.850825i	$-0.323897\pi$
$727$	39.7667	−	14.4739i	1.47487	−	0.536807i	0.949417	+	0.314017i	$0.101675\pi$
$728$	−6.97449	+	5.85229i	−0.258492	+	0.216900i
$729$	13.3280	+	23.0847i	0.493628	+	0.854989i
$730$	−0.148940	+	0.257972i	−0.00551252	+	0.00954796i
$731$	−2.76498	−	15.6810i	−0.102266	−	0.579982i
$732$	0.214330	+	1.21552i	0.00792185	+	0.0449270i
$733$	11.3815	−	19.7134i	0.420386	−	0.728129i	−0.575591	−	0.817737i	$-0.695228\pi$
$733$	11.3815	−	19.7134i	0.420386	−	0.728129i	0.995977	+	0.0896082i	$0.0285615\pi$
$734$	3.53041	+	6.11485i	0.130310	+	0.225703i
$735$	−0.254194	+	0.213294i	−0.00937610	+	0.00786748i
$736$	−19.0659	+	6.93941i	−0.702778	+	0.255790i
$737$	6.14514	+	2.23665i	0.226359	+	0.0823879i
$738$	−2.63979	−	2.21505i	−0.0971720	−	0.0815370i
$739$	3.11567	−	17.6698i	0.114612	−	0.649996i	−0.872330	−	0.488918i	$-0.837392\pi$
$739$	3.11567	−	17.6698i	0.114612	−	0.649996i	0.986942	−	0.161078i	$-0.0514971\pi$
$740$	−15.5850			−0.572916
$741$	2.24689	−	0.149127i	0.0825414	−	0.00547833i
$742$	−0.680606			−0.0249858
$743$	−3.00948	+	17.0676i	−0.110407	+	0.626150i	0.878515	+	0.477715i	$0.158535\pi$
$743$	−3.00948	+	17.0676i	−0.110407	+	0.626150i	−0.988922	+	0.148435i	$0.952576\pi$
$744$	−0.207168	−	0.173835i	−0.00759516	−	0.00637310i
$745$	−16.8173	−	6.12100i	−0.616138	−	0.224256i
$746$	2.07750	−	0.756149i	0.0760628	−	0.0276846i
$747$	26.1443	−	21.9377i	0.956570	−	0.802658i
$748$	−8.42945	−	14.6002i	−0.308211	−	0.533838i
$749$	12.6055	−	21.8334i	0.460597	−	0.797777i
$750$	0.00292713	+	0.0166006i	0.000106884	+	0.000606167i
$751$	−0.379642	−	2.15305i	−0.0138533	−	0.0785661i	0.977097	−	0.212793i	$-0.0682560\pi$
$751$	−0.379642	−	2.15305i	−0.0138533	−	0.0785661i	−0.990951	+	0.134227i	$0.957145\pi$
$752$	−3.08056	+	5.33569i	−0.112337	+	0.194573i
$753$	−0.148477	−	0.257170i	−0.00541081	−	0.00937181i
$754$	−7.58424	+	6.36394i	−0.276202	+	0.231761i
$755$	−2.76254	+	1.00548i	−0.100539	+	0.0365933i
$756$	1.48466	+	0.540370i	0.0539964	+	0.0196531i
$757$	−11.9799	−	10.0523i	−0.435417	−	0.365358i	0.398574	−	0.917136i	$-0.369505\pi$
$757$	−11.9799	−	10.0523i	−0.435417	−	0.365358i	−0.833991	+	0.551778i	$0.813950\pi$
$758$	−0.523767	+	2.97043i	−0.0190241	+	0.107891i
$759$	−1.90453			−0.0691299
$760$	0.393045	−	3.61639i	0.0142573	−	0.131180i
$761$	26.2993			0.953349			0.476675	−	0.879080i	$-0.341842\pi$
$761$	26.2993			0.953349			0.476675	+	0.879080i	$0.341842\pi$
$762$	0.0381608	−	0.216421i	0.00138242	−	0.00784009i
$763$	−6.72737	−	5.64493i	−0.243547	−	0.204360i
$764$	−18.3000	−	6.66065i	−0.662070	−	0.240974i
$765$	8.40122	−	3.05780i	0.303747	−	0.110555i
$766$	5.97705	−	5.01534i	0.215960	−	0.181212i
$767$	11.4861	+	19.8945i	0.414739	+	0.718349i
$768$	−0.501605	+	0.868806i	−0.0181001	+	0.0313503i
$769$	0.0147166	+	0.0834622i	0.000530695	+	0.00300972i	0.985072	−	0.172143i	$-0.0550692\pi$
$769$	0.0147166	+	0.0834622i	0.000530695	+	0.00300972i	−0.984541	+	0.175153i	$0.943958\pi$
$770$	0.178446	+	1.01202i	0.00643075	+	0.0364706i
$771$	1.07762	−	1.86649i	0.0388095	−	0.0672200i
$772$	−20.9249	−	36.2430i	−0.753104	−	1.30441i
$773$	−0.00879051	+	0.00737611i	−0.000316173	+	0.000265300i	−0.642946	−	0.765912i	$-0.722288\pi$
$773$	−0.00879051	+	0.00737611i	−0.000316173	+	0.000265300i	0.642630	+	0.766177i	$0.277843\pi$
$774$	−3.16440	+	1.15175i	−0.113742	+	0.0413987i
$775$	−3.81140	−	1.38724i	−0.136909	−	0.0498310i
$776$	6.30871	+	5.29364i	0.226470	+	0.190030i
$777$	−0.186560	+	1.05803i	−0.00669281	+	0.0379568i
$778$	−3.50389			−0.125621
$779$	−19.1904	−	14.0467i	−0.687567	−	0.503275i
$780$	1.01021			0.0361715
$781$	−5.22461	+	29.6302i	−0.186951	+	1.06025i
$782$	3.98578	+	3.34447i	0.142531	+	0.119598i
$783$	3.26566	+	1.18860i	0.116705	+	0.0424771i
$784$	14.5765	−	5.30542i	0.520590	−	0.189479i
$785$	5.18373	−	4.34966i	0.185015	−	0.155246i
$786$	−0.00157680	−	0.00273110i	−5.62426e−5	−	9.74150e-5i
$787$	−15.0534	+	26.0733i	−0.536596	+	0.929411i	0.462488	+	0.886625i	$0.346957\pi$
$787$	−15.0534	+	26.0733i	−0.536596	+	0.929411i	−0.999084	+	0.0427861i	$0.986377\pi$
$788$	−0.464101	−	2.63205i	−0.0165329	−	0.0937628i
$789$	0.286851	+	1.62681i	0.0102122	+	0.0579161i
$790$	0.254316	−	0.440488i	0.00904814	−	0.0156718i
$791$	7.23031	+	12.5233i	0.257080	+	0.445276i
$792$	−5.52475	+	4.63582i	−0.196314	+	0.164727i
$793$	−48.0017	+	17.4712i	−1.70459	+	0.620421i
$794$	5.28131	+	1.92224i	0.187427	+	0.0682178i
$795$	0.117017	+	0.0981892i	0.00415018	+	0.00348241i
$796$	6.09044	−	34.5406i	0.215870	−	1.22426i
$797$	38.2339			1.35432			0.677158	−	0.735838i	$-0.263211\pi$
$797$	38.2339			1.35432			0.677158	+	0.735838i	$0.263211\pi$
$798$	−0.119047	−	0.0345928i	−0.00421423	−	0.00122457i
$799$	4.92654			0.174288
$800$	0.426669	−	2.41976i	0.0150850	−	0.0855514i
$801$	23.1987	+	19.4660i	0.819685	+	0.687798i
$802$	−0.256698	−	0.0934304i	−0.00906431	−	0.00329914i
$803$	3.82995	−	1.39399i	0.135156	−	0.0491927i
$804$	−0.271121	+	0.227497i	−0.00956169	+	0.00802321i
$805$	6.96617	+	12.0658i	0.245525	+	0.425262i
$806$	2.76665	−	4.79197i	0.0974509	−	0.168790i
$807$	−0.190415	−	1.07990i	−0.00670292	−	0.0380142i
$808$	−0.604267	−	3.42697i	−0.0212580	−	0.120560i
$809$	−1.85001	+	3.20432i	−0.0650431	+	0.112658i	−0.896713	−	0.442612i	$-0.854052\pi$
$809$	−1.85001	+	3.20432i	−0.0650431	+	0.112658i	0.831670	+	0.555270i	$0.187385\pi$
$810$	−0.943370	−	1.63397i	−0.0331466	−	0.0574117i
$811$	31.3508	−	26.3064i	1.10088	−	0.923744i	0.103392	−	0.994641i	$-0.467030\pi$
$811$	31.3508	−	26.3064i	1.10088	−	0.923744i	0.997484	+	0.0708964i	$0.0225860\pi$
$812$	−22.5002	+	8.18942i	−0.789604	+	0.287392i
$813$	0.404175	+	0.147108i	0.0141750	+	0.00515929i
$814$	−3.71851	−	3.12020i	−0.130334	−	0.109363i
$815$	−0.157644	+	0.894042i	−0.00552202	+	0.0313169i
$816$	0.891172			0.0311973
$817$	−21.2642	+	9.37739i	−0.743940	+	0.328073i
$818$	5.70327			0.199410
$819$	−5.67122	+	32.1631i	−0.198168	+	1.12387i
$820$	−8.17295	−	6.85792i	−0.285412	−	0.239489i
$821$	−16.3884	−	5.96489i	−0.571959	−	0.208176i	0.0398170	−	0.999207i	$-0.487323\pi$
$821$	−16.3884	−	5.96489i	−0.571959	−	0.208176i	−0.611776	+	0.791031i	$0.709545\pi$
$822$	−0.0341447	+	0.0124276i	−0.00119093	+	0.000433464i
$823$	−4.98291	+	4.18116i	−0.173693	+	0.145746i	−0.725490	−	0.688233i	$-0.758387\pi$
$823$	−4.98291	+	4.18116i	−0.173693	+	0.145746i	0.551797	+	0.833979i	$0.313942\pi$
$824$	−5.24243	−	9.08016i	−0.182629	−	0.316322i
$825$	0.115321	−	0.199741i	0.00401495	−	0.00695409i
$826$	−0.219613	−	1.24549i	−0.00764133	−	0.0433361i
$827$	0.281701	+	1.59761i	0.00979571	+	0.0555542i	0.989314	−	0.145802i	$-0.0465762\pi$
$827$	0.281701	+	1.59761i	0.00979571	+	0.0555542i	−0.979518	+	0.201356i	$0.935465\pi$
$828$	−24.1697	+	41.8632i	−0.839955	+	1.45485i
$829$	−16.3252	−	28.2760i	−0.566996	−	0.982066i	−0.996861	−	0.0791727i	$-0.974772\pi$
$829$	−16.3252	−	28.2760i	−0.566996	−	0.982066i	0.429865	−	0.902893i	$-0.358561\pi$
$830$	−1.84259	+	1.54612i	−0.0639574	+	0.0536666i
$831$	−1.71165	+	0.622990i	−0.0593765	+	0.0216113i
$832$	−42.2371	−	15.3730i	−1.46431	−	0.532964i
$833$	−9.50176	−	7.97292i	−0.329216	−	0.276245i
$834$	−0.0231159	+	0.131097i	−0.000800437	+	0.00453951i
$835$	14.2716			0.493888
$836$	−17.7607	+	17.0302i	−0.614265	+	0.589001i
$837$	−1.94227			−0.0671347
$838$	−0.152226	+	0.863314i	−0.00525854	+	0.0298227i
$839$	−8.85542	−	7.43058i	−0.305723	−	0.256532i	0.476999	−	0.878904i	$-0.341725\pi$
$839$	−8.85542	−	7.43058i	−0.305723	−	0.256532i	−0.782722	+	0.622372i	$0.786169\pi$
$840$	−0.105714	−	0.0384766i	−0.00364746	−	0.00132757i
$841$	−22.2406	+	8.09491i	−0.766916	+	0.279135i
$842$	−4.26764	+	3.58098i	−0.147073	+	0.123409i
$843$	0.688261	+	1.19210i	0.0237050	+	0.0410582i
$844$	20.3056	−	35.1703i	0.698947	−	1.21061i
$845$	5.00268	+	28.3716i	0.172097	+	0.976013i
$846$	−0.180924	−	1.02607i	−0.00622030	−	0.0352771i
$847$	−2.24948	+	3.89622i	−0.0772931	+	0.133876i
$848$	−3.57044	−	6.18419i	−0.122610	−	0.212366i
$849$	0.997547	−	0.837041i	0.0342357	−	0.0287272i
$850$	−0.592100	+	0.215507i	−0.0203089	+	0.00739182i
$851$	−61.8427	−	22.5089i	−2.11994	−	0.771596i
$852$	−1.24739	−	1.04668i	−0.0427347	−	0.0358587i
$853$	8.28547	−	46.9892i	0.283689	−	1.60888i	−0.426242	−	0.904609i	$-0.640163\pi$
$853$	8.28547	−	46.9892i	0.283689	−	1.60888i	0.709931	−	0.704271i	$-0.248726\pi$
$854$	2.81227			0.0962339
$855$	−7.25850	−	10.8438i	−0.248235	−	0.370849i
$856$	−12.4700			−0.426216
$857$	−6.69167	+	37.9503i	−0.228583	+	1.29636i	0.627132	+	0.778913i	$0.284228\pi$
$857$	−6.69167	+	37.9503i	−0.228583	+	1.29636i	−0.855716	+	0.517447i	$0.826883\pi$
$858$	0.241033	+	0.202250i	0.00822872	+	0.00690471i
$859$	−18.0347	−	6.56408i	−0.615335	−	0.223964i	0.0155009	−	0.999880i	$-0.495066\pi$
$859$	−18.0347	−	6.56408i	−0.615335	−	0.223964i	−0.630836	+	0.775916i	$0.717288\pi$
$860$	−9.79719	+	3.56589i	−0.334081	+	0.121596i
$861$	−0.563405	+	0.472753i	−0.0192008	+	0.0161114i
$862$	1.02553	+	1.77626i	0.0349295	+	0.0604997i
$863$	4.58397	−	7.93967i	0.156040	−	0.270269i	−0.777397	−	0.629010i	$-0.783460\pi$
$863$	4.58397	−	7.93967i	0.156040	−	0.270269i	0.933437	+	0.358741i	$0.116794\pi$
$864$	−0.204316	−	1.15873i	−0.00695097	−	0.0394209i
$865$	2.44452	+	13.8636i	0.0831163	+	0.471376i
$866$	0.0696079	−	0.120564i	0.00236537	−	0.00409695i
$867$	0.322814	+	0.559130i	0.0109633	+	0.0189890i
$868$	10.2513	−	8.60190i	0.347953	−	0.291967i
$869$	−6.53965	+	2.38024i	−0.221842	+	0.0807440i
$870$	−0.114956	−	0.0418404i	−0.00389736	−	0.00141852i
$871$	−11.2207	−	9.41533i	−0.380201	−	0.319026i
$872$	−0.754286	+	4.27777i	−0.0255434	+	0.144864i
$873$	29.5416			0.999832
$874$	3.35317	−	6.81370i	0.113423	−	0.230477i
$875$	−1.68723			−0.0570387
$876$	−0.0383037	+	0.217231i	−0.00129416	+	0.00733955i
$877$	−2.78066	−	2.33325i	−0.0938961	−	0.0787882i	0.594631	−	0.803999i	$-0.297298\pi$
$877$	−2.78066	−	2.33325i	−0.0938961	−	0.0787882i	−0.688527	+	0.725210i	$0.741743\pi$
$878$	−5.39064	−	1.96203i	−0.181925	−	0.0662154i
$879$	−1.89857	+	0.691022i	−0.0640370	+	0.0233076i
$880$	−8.25937	+	6.93043i	−0.278423	+	0.233625i
$881$	4.17191	+	7.22596i	0.140555	+	0.243449i	0.927706	−	0.373312i	$-0.121778\pi$
$881$	4.17191	+	7.22596i	0.140555	+	0.243449i	−0.787151	+	0.616761i	$0.788445\pi$
$882$	−1.31161	+	2.27177i	−0.0441642	+	0.0764946i
$883$	4.89899	+	27.7836i	0.164864	+	0.934991i	0.949204	+	0.314660i	$0.101891\pi$
$883$	4.89899	+	27.7836i	0.164864	+	0.934991i	−0.784340	+	0.620331i	$0.786998\pi$
$884$	6.55725	+	37.1880i	0.220544	+	1.25077i
$885$	−0.141925	+	0.245821i	−0.00477075	+	0.00826319i
$886$	−3.98633	−	6.90452i	−0.133923	−	0.231962i
$887$	−6.77332	+	5.68349i	−0.227426	+	0.190833i	−0.749379	−	0.662141i	$-0.769648\pi$
$887$	−6.77332	+	5.68349i	−0.227426	+	0.190833i	0.521953	+	0.852974i	$0.325204\pi$
$888$	0.499355	−	0.181750i	0.0167573	−	0.00609914i
$889$	20.6698	+	7.52318i	0.693242	+	0.252319i
$890$	−1.63499	−	1.37192i	−0.0548051	−	0.0459869i
$891$	−4.48278	+	25.4231i	−0.150179	+	0.851707i
$892$	−3.81312			−0.127673
$893$	−1.71483	−	6.98301i	−0.0573846	−	0.233678i
$894$	0.301677			0.0100896
$895$	2.73492	−	15.5105i	0.0914182	−	0.518458i
$896$	8.24714	+	6.92017i	0.275517	+	0.231187i
$897$	4.00862	+	1.45902i	0.133844	+	0.0487152i
$898$	3.28118	−	1.19425i	0.109495	−	0.0398528i
$899$	22.5489	−	18.9208i	0.752048	−	0.631043i
$900$	−2.92699	−	5.06969i	−0.0975663	−	0.168990i
$901$	−2.85499	+	4.94498i	−0.0951134	+	0.164741i
$902$	−0.577037	−	3.27254i	−0.0192132	−	0.108964i
$903$	0.124804	+	0.707797i	0.00415321	+	0.0235540i
$904$	3.57628	−	6.19431i	0.118945	−	0.206020i
$905$	−2.27915	−	3.94761i	−0.0757616	−	0.131223i
$906$	0.0379619	−	0.0318539i	0.00126120	−	0.00105827i
$907$	−3.97425	+	1.44651i	−0.131963	+	0.0480305i	−0.407157	−	0.913358i	$-0.633480\pi$
$907$	−3.97425	+	1.44651i	−0.131963	+	0.0480305i	0.275195	+	0.961389i	$0.411258\pi$
$908$	23.1714	+	8.43371i	0.768971	+	0.279882i
$909$	−9.56225	−	8.02368i	−0.317160	−	0.266129i
$910$	0.399695	−	2.26678i	0.0132498	−	0.0751432i
$911$	10.1182			0.335231			0.167616	−	0.985852i	$-0.446393\pi$
$911$	10.1182			0.335231			0.167616	+	0.985852i	$0.446393\pi$
$912$	−0.310199	−	1.26317i	−0.0102717	−	0.0418278i
$913$	32.9110			1.08920
$914$	0.419463	−	2.37890i	0.0138746	−	0.0786869i
$915$	−0.483516	−	0.405718i	−0.0159846	−	0.0134126i
$916$	−11.2599	−	4.09826i	−0.372037	−	0.135410i
$917$	0.296616	−	0.107959i	0.00979513	−	0.00356513i
$918$	−0.231140	+	0.193949i	−0.00762875	+	0.00640128i
$919$	23.9378	+	41.4616i	0.789637	+	1.36769i	0.926190	+	0.377058i	$0.123064\pi$
$919$	23.9378	+	41.4616i	0.789637	+	1.36769i	−0.136553	+	0.990633i	$0.543602\pi$
$920$	3.44563	−	5.96801i	0.113599	−	0.196760i
$921$	0.239030	+	1.35561i	0.00787630	+	0.0446687i
$922$	−0.394201	−	2.23562i	−0.0129823	−	0.0736263i
$923$	33.6958	−	58.3629i	1.10911	−	1.92104i
$924$	0.380483	+	0.659016i	0.0125170	+	0.0216800i
$925$	6.10529	−	5.12295i	0.200741	−	0.168441i
$926$	−3.38790	+	1.23309i	−0.111333	+	0.0405220i
$927$	−35.3424	−	12.8636i	−1.16080	−	0.422496i
$928$	13.6599	+	11.4620i	0.448408	+	0.376259i
$929$	−3.75604	+	21.3015i	−0.123232	+	0.698881i	0.859111	+	0.511789i	$0.171017\pi$
$929$	−3.75604	+	21.3015i	−0.123232	+	0.698881i	−0.982342	+	0.187092i	$0.940094\pi$
$930$	0.0683706			0.00224196
$931$	−7.99367	+	16.2433i	−0.261982	+	0.532351i
$932$	−12.9202			−0.423214
$933$	0.346460	−	1.96487i	0.0113426	−	0.0643271i
$934$	5.14864	+	4.32023i	0.168469	+	0.141362i
$935$	8.10141	+	2.94867i	0.264944	+	0.0964319i
$936$	15.1798	−	5.52501i	0.496168	−	0.180591i
$937$	27.6414	−	23.1939i	0.903006	−	0.757712i	−0.0677696	−	0.997701i	$-0.521588\pi$
$937$	27.6414	−	23.1939i	0.903006	−	0.757712i	0.970776	+	0.239989i	$0.0771438\pi$
$938$	0.403203	+	0.698368i	0.0131651	+	0.0228025i
$939$	0.673649	−	1.16679i	0.0219837	−	0.0380769i
$940$	−0.560153	−	3.17678i	−0.0182702	−	0.103615i
$941$	−8.41858	−	47.7441i	−0.274438	−	1.55641i	−0.740742	−	0.671789i	$-0.765526\pi$
$941$	−8.41858	−	47.7441i	−0.274438	−	1.55641i	0.466305	−	0.884624i	$-0.345585\pi$
$942$	−0.0570334	+	0.0987847i	−0.00185825	+	0.00321858i
$943$	−22.5264	−	39.0168i	−0.733559	−	1.27056i
$944$	10.1648	−	8.52928i	0.330836	−	0.277604i
$945$	−0.759226	+	0.276336i	−0.0246976	+	0.00898920i
$946$	−3.05148	−	1.11065i	−0.0992120	−	0.0361102i
$947$	26.9727	+	22.6328i	0.876495	+	0.735466i	0.965455	−	0.260569i	$-0.0839101\pi$
$947$	26.9727	+	22.6328i	0.876495	+	0.735466i	−0.0889606	+	0.996035i	$0.528355\pi$
$948$	0.0654036	−	0.370922i	0.00212421	−	0.0120470i
$949$	−9.12913			−0.296344
$950$	0.511563	+	0.764245i	0.0165973	+	0.0247954i
$951$	1.92717			0.0624928
$952$	0.730219	−	4.14128i	0.0236665	−	0.134220i
$953$	34.1607	+	28.6643i	1.10657	+	0.928527i	0.997850	−	0.0655452i	$-0.0208787\pi$
$953$	34.1607	+	28.6643i	1.10657	+	0.928527i	0.108725	+	0.994072i	$0.465323\pi$
$954$	1.13476	+	0.413019i	0.0367392	+	0.0133720i
$955$	9.35828	−	3.40613i	0.302827	−	0.110220i
$956$	3.30130	−	2.77012i	0.106772	−	0.0895920i
$957$	0.836912	+	1.44957i	0.0270535	+	0.0468581i
$958$	0.406172	−	0.703510i	0.0131228	−	0.0227294i
$959$	−0.631553	−	3.58171i	−0.0203939	−	0.115660i
$960$	−0.0964416	−	0.546947i	−0.00311264	−	0.0176526i
$961$	7.27442	−	12.5997i	0.234659	−	0.406441i
$962$	5.43635	+	9.41604i	0.175275	+	0.303585i
$963$	−34.2664	+	28.7529i	−1.10422	+	0.926549i
$964$	−0.229419	+	0.0835019i	−0.00738910	+	0.00268941i
$965$	20.1106	+	7.31965i	0.647382	+	0.235628i
$966$	−0.179908	−	0.150960i	−0.00578843	−	0.00485707i
$967$	0.469769	−	2.66419i	0.0151067	−	0.0856746i	−0.976322	−	0.216321i	$-0.930594\pi$
$967$	0.469769	−	2.66419i	0.0151067	−	0.0856746i	0.991429	+	0.130647i	$0.0417053\pi$
$968$	2.22529			0.0715236
$969$	−0.750712	+	0.719836i	−0.0241163	+	0.0231245i
$970$	−2.08203			−0.0668499
$971$	−1.24026	+	7.03387i	−0.0398019	+	0.225728i	−0.998220	−	0.0596403i	$-0.981005\pi$
$971$	−1.24026	+	7.03387i	−0.0398019	+	0.225728i	0.958418	+	0.285368i	$0.0921158\pi$
$972$	−3.22227	−	2.70380i	−0.103354	−	0.0867246i
$973$	−12.5207	−	4.55716i	−0.401395	−	0.146096i
$974$	−7.01988	+	2.55503i	−0.224932	+	0.0818684i
$975$	−0.395743	+	0.332067i	−0.0126739	+	0.0106347i
$976$	14.7531	+	25.5531i	0.472235	+	0.817935i
$977$	14.4495	−	25.0272i	0.462280	−	0.800692i	−0.536794	−	0.843713i	$-0.680365\pi$
$977$	14.4495	−	25.0272i	0.462280	−	0.800692i	0.999074	+	0.0430210i	$0.0136982\pi$
$978$	−0.00265734	−	0.0150705i	−8.49725e−5	−	0.000481903i
$979$	5.07105	+	28.7593i	0.162071	+	0.919152i
$980$	−4.06082	+	7.03355i	−0.129718	+	0.224679i
$981$	7.79083	+	13.4941i	0.248742	+	0.430834i
$982$	3.27402	−	2.74722i	0.104478	−	0.0876675i
$983$	−9.71738	+	3.53684i	−0.309936	+	0.112808i	−0.492305	−	0.870423i	$-0.663846\pi$
$983$	−9.71738	+	3.53684i	−0.309936	+	0.112808i	0.182369	+	0.983230i	$0.441623\pi$
$984$	0.341843	+	0.124421i	0.0108976	+	0.00396639i
$985$	1.04699	+	0.878526i	0.0333598	+	0.0279922i
$986$	0.794059	−	4.50333i	0.0252880	−	0.143415i
$987$	−0.222371			−0.00707814
$988$	50.4289	−	22.2388i	1.60436	−	0.707511i
$989$	−44.0262			−1.39995
$990$	0.316613	−	1.79560i	0.0100626	−	0.0570680i
$991$	24.2226	+	20.3251i	0.769455	+	0.645650i	0.940569	−	0.339602i	$-0.110292\pi$
$991$	24.2226	+	20.3251i	0.769455	+	0.645650i	−0.171114	+	0.985251i	$0.554737\pi$
$992$	−9.36494	−	3.40856i	−0.297337	−	0.108222i
$993$	−1.16673	+	0.424653i	−0.0370249	+	0.0134760i
$994$	−2.84214	+	2.38484i	−0.0901473	+	0.0756426i
$995$	8.96796	+	15.5330i	0.284304	+	0.492428i
$996$	−0.890582	+	1.54253i	−0.0282192	+	0.0488771i
$997$	1.36787	+	7.75758i	0.0433209	+	0.245685i	0.998777	−	0.0494495i	$-0.0157467\pi$
$997$	1.36787	+	7.75758i	0.0433209	+	0.245685i	−0.955456	+	0.295134i	$0.904636\pi$
$998$	0.0215948	+	0.122470i	0.000683571	+	0.00387672i
$999$	1.90824	−	3.30518i	0.0603742	−	0.104571i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.k.a.36.2	✓	18
3.2	odd	2		855.2.bs.c.226.2		18
5.2	odd	4		475.2.u.b.74.4		36
5.3	odd	4		475.2.u.b.74.3		36
5.4	even	2		475.2.l.c.226.2		18
19.3	odd	18		1805.2.a.s.1.6		9
19.9	even	9	inner	95.2.k.a.66.2	yes	18
19.16	even	9		1805.2.a.v.1.4		9
57.47	odd	18		855.2.bs.c.541.2		18
95.9	even	18		475.2.l.c.351.2		18
95.28	odd	36		475.2.u.b.199.4		36
95.47	odd	36		475.2.u.b.199.3		36
95.54	even	18		9025.2.a.cc.1.6		9
95.79	odd	18		9025.2.a.cf.1.4		9

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.k.a.36.2	✓	18	1.1	even	1	trivial
95.2.k.a.66.2	yes	18	19.9	even	9	inner
475.2.l.c.226.2		18	5.4	even	2
475.2.l.c.351.2		18	95.9	even	18
475.2.u.b.74.3		36	5.3	odd	4
475.2.u.b.74.4		36	5.2	odd	4
475.2.u.b.199.3		36	95.47	odd	36
475.2.u.b.199.4		36	95.28	odd	36
855.2.bs.c.226.2		18	3.2	odd	2
855.2.bs.c.541.2		18	57.47	odd	18
1805.2.a.s.1.6		9	19.3	odd	18
1805.2.a.v.1.4		9	19.16	even	9
9025.2.a.cc.1.6		9	95.54	even	18
9025.2.a.cf.1.4		9	95.79	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)

\(f(q)\)	\(=\)	\(q+(0.0366369 - 0.207778i) q^{2} +(0.0612035 + 0.0513559i) q^{3} +(1.83756 + 0.668816i) q^{4} +(-0.939693 + 0.342020i) q^{5} +(0.0129129 - 0.0108352i) q^{6} +(0.843614 + 1.46118i) q^{7} +(0.417271 - 0.722735i) q^{8} +(-0.519836 - 2.94814i) q^{9} +O(q^{10})\)	\(q+(0.0366369 - 0.207778i) q^{2} +(0.0612035 + 0.0513559i) q^{3} +(1.83756 + 0.668816i) q^{4} +(-0.939693 + 0.342020i) q^{5} +(0.0129129 - 0.0108352i) q^{6} +(0.843614 + 1.46118i) q^{7} +(0.417271 - 0.722735i) q^{8} +(-0.519836 - 2.94814i) q^{9} +(0.0366369 + 0.207778i) q^{10} +(1.44339 - 2.50003i) q^{11} +(0.0781173 + 0.135303i) q^{12} +(-4.95325 + 4.15627i) q^{13} +(0.334509 - 0.121751i) q^{14} +(-0.0750772 - 0.0273259i) q^{15} +(2.86110 + 2.40075i) q^{16} +(0.518598 - 2.94112i) q^{17} -0.631604 q^{18} +(-4.34933 + 0.288668i) q^{19} -1.95549 q^{20} +(-0.0234081 + 0.132754i) q^{21} +(-0.466570 - 0.391499i) q^{22} +(-7.75955 - 2.82424i) q^{23} +(0.0626552 - 0.0228046i) q^{24} +(0.766044 - 0.642788i) q^{25} +(0.682111 + 1.18145i) q^{26} +(0.239432 - 0.414708i) q^{27} +(0.572926 + 3.24923i) q^{28} +(1.26021 + 7.14701i) q^{29} +(-0.00842832 + 0.0145983i) q^{30} +(-2.02800 - 3.51260i) q^{31} +(1.88224 - 1.57939i) q^{32} +(0.216732 - 0.0788839i) q^{33} +(-0.592100 - 0.215507i) q^{34} +(-1.29249 - 1.08453i) q^{35} +(1.01653 - 5.76504i) q^{36} +7.96989 q^{37} +(-0.0993671 + 0.914272i) q^{38} -0.516605 q^{39} +(-0.144917 + 0.821864i) q^{40} +(4.17950 + 3.50702i) q^{41} +(0.0267258 + 0.00972740i) q^{42} +(5.01011 - 1.82353i) q^{43} +(4.32437 - 3.62858i) q^{44} +(1.49681 + 2.59255i) q^{45} +(-0.871103 + 1.50879i) q^{46} +(0.286452 + 1.62455i) q^{47} +(0.0518169 + 0.293868i) q^{48} +(2.07663 - 3.59683i) q^{49} +(-0.105492 - 0.182717i) q^{50} +(0.182783 - 0.153374i) q^{51} +(-11.8817 + 4.32457i) q^{52} +(-1.79663 - 0.653921i) q^{53} +(-0.0773952 - 0.0649423i) q^{54} +(-0.501285 + 2.84293i) q^{55} +1.40806 q^{56} +(-0.281019 - 0.205696i) q^{57} +1.53116 q^{58} +(0.616931 - 3.49879i) q^{59} +(-0.119683 - 0.100426i) q^{60} +(7.42370 + 2.70201i) q^{61} +(-0.804142 + 0.292684i) q^{62} +(3.86922 - 3.24666i) q^{63} +(3.47569 + 6.02008i) q^{64} +(3.23300 - 5.59973i) q^{65} +(-0.00844998 - 0.0479222i) q^{66} +(0.393370 + 2.23091i) q^{67} +(2.92002 - 5.05762i) q^{68} +(-0.329870 - 0.571352i) q^{69} +(-0.272695 + 0.228818i) q^{70} +(-9.79389 + 3.56469i) q^{71} +(-2.34764 - 0.854469i) q^{72} +(1.08155 + 0.907529i) q^{73} +(0.291992 - 1.65597i) q^{74} +0.0798955 q^{75} +(-8.18520 - 2.37846i) q^{76} +4.87066 q^{77} +(-0.0189268 + 0.107339i) q^{78} +(-1.84675 - 1.54961i) q^{79} +(-3.50966 - 1.27741i) q^{80} +(-8.40329 + 3.05855i) q^{81} +(0.881806 - 0.739923i) q^{82} +(5.70029 + 9.87319i) q^{83} +(-0.131802 + 0.228287i) q^{84} +(0.518598 + 2.94112i) q^{85} +(-0.195335 - 1.10780i) q^{86} +(-0.289912 + 0.502142i) q^{87} +(-1.20457 - 2.08638i) q^{88} +(-7.74938 + 6.50250i) q^{89} +(0.593514 - 0.216021i) q^{90} +(-10.2517 - 3.73131i) q^{91} +(-12.3697 - 10.3794i) q^{92} +(0.0562718 - 0.319133i) q^{93} +0.348041 q^{94} +(3.98830 - 1.75882i) q^{95} +0.196310 q^{96} +(-1.71360 + 9.71828i) q^{97} +(-0.671262 - 0.563256i) q^{98} +(-8.12075 - 2.95571i) 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

L-functions

Modular forms

Varieties

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