LMFDB - Embedded newform 192.2.s.a.107.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.8
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.970489 + 1.02866i) q^{2} +(1.04794 + 1.37906i) q^{3} +(-0.116302 - 1.99662i) q^{4} +(0.178911 + 0.267760i) q^{5} +(-2.43561 - 0.260381i) q^{6} +(-0.862708 + 2.08276i) q^{7} +(2.16672 + 1.81806i) q^{8} +(-0.803625 + 2.89036i) q^{9} +O(q^{10})$	\(q+(-0.970489 + 1.02866i) q^{2} +(1.04794 + 1.37906i) q^{3} +(-0.116302 - 1.99662i) q^{4} +(0.178911 + 0.267760i) q^{5} +(-2.43561 - 0.260381i) q^{6} +(-0.862708 + 2.08276i) q^{7} +(2.16672 + 1.81806i) q^{8} +(-0.803625 + 2.89036i) q^{9} +(-0.449066 - 0.0758180i) q^{10} +(-1.97179 - 0.392214i) q^{11} +(2.63158 - 2.25273i) q^{12} +(5.61756 + 3.75354i) q^{13} +(-1.30521 - 2.90873i) q^{14} +(-0.181768 + 0.527327i) q^{15} +(-3.97295 + 0.464422i) q^{16} +(-1.92631 - 1.92631i) q^{17} +(-2.19330 - 3.63172i) q^{18} +(-3.54040 - 2.36562i) q^{19} +(0.513805 - 0.388358i) q^{20} +(-3.77633 + 0.992890i) q^{21} +(2.31706 - 1.64768i) q^{22} +(2.19377 + 5.29622i) q^{23} +(-0.236614 + 4.89326i) q^{24} +(1.87373 - 4.52359i) q^{25} +(-9.31291 + 2.13582i) q^{26} +(-4.82814 + 1.92069i) q^{27} +(4.25881 + 1.48027i) q^{28} +(-1.06153 - 5.33669i) q^{29} +(-0.366039 - 0.698743i) q^{30} +4.81722 q^{31} +(3.37797 - 4.53755i) q^{32} +(-1.52544 - 3.13025i) q^{33} +(3.85098 - 0.112064i) q^{34} +(-0.712027 + 0.141631i) q^{35} +(5.86440 + 1.26837i) q^{36} +(1.42685 + 2.13544i) q^{37} +(5.86935 - 1.34608i) q^{38} +(0.710535 + 11.6805i) q^{39} +(-0.0991520 + 0.905430i) q^{40} +(7.50562 - 3.10893i) q^{41} +(2.64353 - 4.84816i) q^{42} +(0.371486 + 0.0738932i) q^{43} +(-0.553777 + 3.98253i) q^{44} +(-0.917699 + 0.301940i) q^{45} +(-7.57706 - 2.88327i) q^{46} +(4.36387 - 4.36387i) q^{47} +(-4.80390 - 4.99225i) q^{48} +(1.35612 + 1.35612i) q^{49} +(2.83482 + 6.31753i) q^{50} +(0.637834 - 4.67516i) q^{51} +(6.84103 - 11.6527i) q^{52} +(1.66580 - 8.37454i) q^{53} +(2.70991 - 6.83055i) q^{54} +(-0.247757 - 0.598138i) q^{55} +(-5.65583 + 2.94430i) q^{56} +(-0.447806 - 7.36147i) q^{57} +(6.51987 + 4.08723i) q^{58} +(2.84793 - 1.90292i) q^{59} +(1.07401 + 0.301592i) q^{60} +(-0.814645 - 4.09550i) q^{61} +(-4.67506 + 4.95531i) q^{62} +(-5.32664 - 4.16730i) q^{63} +(1.38934 + 7.87844i) q^{64} +2.17571i q^{65} +(4.70040 + 1.46870i) q^{66} +(-9.80554 + 1.95044i) q^{67} +(-3.62206 + 4.07013i) q^{68} +(-5.00487 + 8.57548i) q^{69} +(0.545324 - 0.869889i) q^{70} +(4.67113 + 1.93485i) q^{71} +(-6.99607 + 4.80156i) q^{72} +(3.32953 - 1.37914i) q^{73} +(-3.58140 - 0.604665i) q^{74} +(8.20187 - 2.15648i) q^{75} +(-4.31148 + 7.34394i) q^{76} +(2.51797 - 3.76841i) q^{77} +(-12.7049 - 10.6049i) q^{78} +(-0.888047 + 0.888047i) q^{79} +(-0.835158 - 0.980704i) q^{80} +(-7.70837 - 4.64553i) q^{81} +(-4.08608 + 10.7379i) q^{82} +(-7.24954 + 10.8497i) q^{83} +(2.42162 + 7.42440i) q^{84} +(0.171149 - 0.860425i) q^{85} +(-0.436534 + 0.310422i) q^{86} +(6.24719 - 7.05647i) q^{87} +(-3.55926 - 4.43465i) q^{88} +(6.70406 + 2.77691i) q^{89} +(0.580022 - 1.23703i) q^{90} +(-12.6640 + 8.46184i) q^{91} +(10.3194 - 4.99607i) q^{92} +(5.04818 + 6.64325i) q^{93} +(0.253872 + 8.72405i) q^{94} -1.37121i q^{95} +(9.79748 - 0.0966708i) q^{96} -17.3353i q^{97} +(-2.71109 + 0.0788931i) q^{98} +(2.71822 - 5.38401i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{16}\right)$

Coefficient data

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

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

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

$2$	−0.970489	+	1.02866i	−0.686239	+	0.727376i
$2$	−0.970489	+	1.02866i	−0.686239	+	0.727376i
$3$	1.04794	+	1.37906i	0.605031	+	0.796202i
$3$	1.04794	+	1.37906i	0.605031	+	0.796202i
$4$	−0.116302	−	1.99662i	−0.0581512	−	0.998308i
$5$	0.178911	+	0.267760i	0.0800115	+	0.119746i	0.869317	−	0.494255i	$-0.164559\pi$
$5$	0.178911	+	0.267760i	0.0800115	+	0.119746i	−0.789305	+	0.614001i	$0.789559\pi$
$6$	−2.43561	−	0.260381i	−0.994334	−	0.106300i
$7$	−0.862708	+	2.08276i	−0.326073	+	0.787210i	0.672803	+	0.739821i	$0.265090\pi$
$7$	−0.862708	+	2.08276i	−0.326073	+	0.787210i	−0.998877	+	0.0473887i	$0.984910\pi$
$8$	2.16672	+	1.81806i	0.766051	+	0.642780i
$9$	−0.803625	+	2.89036i	−0.267875	+	0.963454i
$10$	−0.449066	−	0.0758180i	−0.142007	−	0.0239758i
$11$	−1.97179	−	0.392214i	−0.594519	−	0.118257i	−0.111345	−	0.993782i	$-0.535516\pi$
$11$	−1.97179	−	0.392214i	−0.594519	−	0.118257i	−0.483173	+	0.875525i	$0.660516\pi$
$12$	2.63158	−	2.25273i	0.759671	−	0.650307i
$13$	5.61756	+	3.75354i	1.55803	+	1.04104i	0.973220	+	0.229874i	$0.0738315\pi$
$13$	5.61756	+	3.75354i	1.55803	+	1.04104i	0.584812	+	0.811169i	$0.301168\pi$
$14$	−1.30521	−	2.90873i	−0.348833	−	0.777392i
$15$	−0.181768	+	0.527327i	−0.0469323	+	0.136155i
$16$	−3.97295	+	0.464422i	−0.993237	+	0.116106i
$17$	−1.92631	−	1.92631i	−0.467198	−	0.467198i	0.433808	−	0.901006i	$-0.357170\pi$
$17$	−1.92631	−	1.92631i	−0.467198	−	0.467198i	−0.901006	+	0.433808i	$0.857170\pi$
$18$	−2.19330	−	3.63172i	−0.516967	−	0.856006i
$19$	−3.54040	−	2.36562i	−0.812223	−	0.542710i	0.0786817	−	0.996900i	$-0.474929\pi$
$19$	−3.54040	−	2.36562i	−0.812223	−	0.542710i	−0.890905	+	0.454189i	$0.849929\pi$
$20$	0.513805	−	0.388358i	0.114890	−	0.0868395i
$21$	−3.77633	+	0.992890i	−0.824062	+	0.216666i
$22$	2.31706	−	1.64768i	0.493999	−	0.351286i
$23$	2.19377	+	5.29622i	0.457432	+	1.10434i	0.969434	+	0.245354i	$0.0789041\pi$
$23$	2.19377	+	5.29622i	0.457432	+	1.10434i	−0.512002	+	0.858984i	$0.671096\pi$
$24$	−0.236614	+	4.89326i	−0.0482986	+	0.998833i
$25$	1.87373	−	4.52359i	0.374746	−	0.904717i
$26$	−9.31291	+	2.13582i	−1.82641	+	0.418870i
$27$	−4.82814	+	1.92069i	−0.929176	+	0.369637i
$28$	4.25881	+	1.48027i	0.804839	+	0.279744i
$29$	−1.06153	−	5.33669i	−0.197122	−	0.990998i	−0.944977	−	0.327136i	$-0.893916\pi$
$29$	−1.06153	−	5.33669i	−0.197122	−	0.990998i	0.747856	−	0.663862i	$-0.231084\pi$
$30$	−0.366039	−	0.698743i	−0.0668292	−	0.127572i
$31$	4.81722			0.865199			0.432599	−	0.901586i	$-0.357596\pi$
$31$	4.81722			0.865199			0.432599	+	0.901586i	$0.357596\pi$
$32$	3.37797	−	4.53755i	0.597146	−	0.802133i
$33$	−1.52544	−	3.13025i	−0.265546	−	0.544906i
$34$	3.85098	−	0.112064i	0.660438	−	0.0192189i
$35$	−0.712027	+	0.141631i	−0.120355	+	0.0239400i
$36$	5.86440	+	1.26837i	0.977401	+	0.211396i
$37$	1.42685	+	2.13544i	0.234573	+	0.351064i	0.930017	−	0.367517i	$-0.119792\pi$
$37$	1.42685	+	2.13544i	0.234573	+	0.351064i	−0.695443	+	0.718581i	$0.744792\pi$
$38$	5.86935	−	1.34608i	0.952134	−	0.218363i
$39$	0.710535	+	11.6805i	0.113777	+	1.87037i
$40$	−0.0991520	+	0.905430i	−0.0156773	+	0.143161i
$41$	7.50562	−	3.10893i	1.17218	−	0.485533i	0.290268	−	0.956945i	$-0.406256\pi$
$41$	7.50562	−	3.10893i	1.17218	−	0.485533i	0.881913	+	0.471412i	$0.156256\pi$
$42$	2.64353	−	4.84816i	0.407906	−	0.748088i
$43$	0.371486	+	0.0738932i	0.0566511	+	0.0112686i	0.223334	−	0.974742i	$-0.428306\pi$
$43$	0.371486	+	0.0738932i	0.0566511	+	0.0112686i	−0.166683	+	0.986010i	$0.553306\pi$
$44$	−0.553777	+	3.98253i	−0.0834850	+	0.600389i
$45$	−0.917699	+	0.301940i	−0.136803	+	0.0450105i
$46$	−7.57706	−	2.88327i	−1.11718	−	0.425115i
$47$	4.36387	−	4.36387i	0.636536	−	0.636536i	−0.313163	−	0.949699i	$-0.601389\pi$
$47$	4.36387	−	4.36387i	0.636536	−	0.636536i	0.949699	+	0.313163i	$0.101389\pi$
$48$	−4.80390	−	4.99225i	−0.693383	−	0.720570i
$49$	1.35612	+	1.35612i	0.193731	+	0.193731i
$50$	2.83482	+	6.31753i	0.400904	+	0.893434i
$51$	0.637834	−	4.67516i	0.0893147	−	0.654653i
$52$	6.84103	−	11.6527i	0.948681	−	1.61593i
$53$	1.66580	−	8.37454i	0.228815	−	1.15033i	−0.680025	−	0.733189i	$-0.738031\pi$
$53$	1.66580	−	8.37454i	0.228815	−	1.15033i	0.908841	−	0.417144i	$-0.136969\pi$
$54$	2.70991	−	6.83055i	0.368773	−	0.929520i
$55$	−0.247757	−	0.598138i	−0.0334076	−	0.0806530i
$56$	−5.65583	+	2.94430i	−0.755791	+	0.393449i
$57$	−0.447806	−	7.36147i	−0.0593133	−	0.975050i
$58$	6.51987	+	4.08723i	0.856100	+	0.536680i
$59$	2.84793	−	1.90292i	0.370768	−	0.247739i	−0.356201	−	0.934409i	$-0.615928\pi$
$59$	2.84793	−	1.90292i	0.370768	−	0.247739i	0.726969	+	0.686670i	$0.240928\pi$
$60$	1.07401	+	0.301592i	0.138654	+	0.0389353i
$61$	−0.814645	−	4.09550i	−0.104305	−	0.524375i	−0.997244	−	0.0741971i	$-0.976361\pi$
$61$	−0.814645	−	4.09550i	−0.104305	−	0.524375i	0.892939	−	0.450178i	$-0.148639\pi$
$62$	−4.67506	+	4.95531i	−0.593734	+	0.629325i
$63$	−5.32664	−	4.16730i	−0.671093	−	0.525030i
$64$	1.38934	+	7.87844i	0.173667	+	0.984804i
$65$			2.17571i			0.269863i
$66$	4.70040	+	1.46870i	0.578579	+	0.180784i
$67$	−9.80554	+	1.95044i	−1.19794	+	0.238285i	−0.753453	−	0.657502i	$-0.771613\pi$
$67$	−9.80554	+	1.95044i	−1.19794	+	0.238285i	−0.444485	+	0.895786i	$0.646613\pi$
$68$	−3.62206	+	4.07013i	−0.439239	+	0.493576i
$69$	−5.00487	+	8.57548i	−0.602516	+	1.03237i
$70$	0.545324	−	0.869889i	0.0651787	−	0.103972i
$71$	4.67113	+	1.93485i	0.554361	+	0.229624i	0.642235	−	0.766508i	$-0.278007\pi$
$71$	4.67113	+	1.93485i	0.554361	+	0.229624i	−0.0878740	+	0.996132i	$0.528007\pi$
$72$	−6.99607	+	4.80156i	−0.824495	+	0.565869i
$73$	3.32953	−	1.37914i	0.389692	−	0.161416i	−0.179230	−	0.983807i	$-0.557361\pi$
$73$	3.32953	−	1.37914i	0.389692	−	0.161416i	0.568922	+	0.822392i	$0.307361\pi$
$74$	−3.58140	−	0.604665i	−0.416329	−	0.0702908i
$75$	8.20187	−	2.15648i	0.947071	−	0.249008i
$76$	−4.31148	+	7.34394i	−0.494560	+	0.842408i
$77$	2.51797	−	3.76841i	0.286950	−	0.429450i
$78$	−12.7049	−	10.6049i	−1.43854	−	1.20076i
$79$	−0.888047	+	0.888047i	−0.0999131	+	0.0999131i	−0.755296	−	0.655383i	$-0.772507\pi$
$79$	−0.888047	+	0.888047i	−0.0999131	+	0.0999131i	0.655383	+	0.755296i	$0.272507\pi$
$80$	−0.835158	−	0.980704i	−0.0933735	−	0.109646i
$81$	−7.70837	−	4.64553i	−0.856486	−	0.516170i
$82$	−4.08608	+	10.7379i	−0.451232	+	1.18581i
$83$	−7.24954	+	10.8497i	−0.795740	+	1.19091i	0.182453	+	0.983215i	$0.441596\pi$
$83$	−7.24954	+	10.8497i	−0.795740	+	1.19091i	−0.978194	+	0.207695i	$0.933404\pi$
$84$	2.42162	+	7.42440i	0.264220	+	0.810068i
$85$	0.171149	−	0.860425i	0.0185637	−	0.0933262i
$86$	−0.436534	+	0.310422i	−0.0470727	+	0.0334737i
$87$	6.24719	−	7.05647i	0.669769	−	0.756533i
$88$	−3.55926	−	4.43465i	−0.379418	−	0.472736i
$89$	6.70406	+	2.77691i	0.710629	+	0.294352i	0.708565	−	0.705646i	$-0.249343\pi$
$89$	6.70406	+	2.77691i	0.710629	+	0.294352i	0.00206424	+	0.999998i	$0.499343\pi$
$90$	0.580022	−	1.23703i	0.0611397	−	0.130395i
$91$	−12.6640	+	8.46184i	−1.32755	+	0.887042i
$92$	10.3194	−	4.99607i	1.07587	−	0.520876i
$93$	5.04818	+	6.64325i	0.523472	+	0.688873i
$94$	0.253872	+	8.72405i	0.0261849	+	0.899817i
$95$		−	1.37121i		−	0.140683i
$96$	9.79748	−	0.0966708i	0.999951	−	0.00986642i
$97$		−	17.3353i		−	1.76014i	−0.474846	−	0.880069i	$-0.657496\pi$
$97$		−	17.3353i		−	1.76014i	0.474846	−	0.880069i	$-0.342504\pi$
$98$	−2.71109	+	0.0788931i	−0.273861	+	0.00796941i
$99$	2.71822	−	5.38401i	0.273192	−	0.541113i
$100$	−9.24978	−	3.21502i	−0.924978	−	0.321502i
$101$	−14.5595	+	9.72838i	−1.44873	+	0.968010i	−0.451605	+	0.892218i	$0.649148\pi$
$101$	−14.5595	+	9.72838i	−1.44873	+	0.968010i	−0.997124	+	0.0757916i	$0.975852\pi$
$102$	4.19016	+	5.19331i	0.414888	+	0.514214i
$103$	−5.41974	−	2.24493i	−0.534023	−	0.221199i	0.0993414	−	0.995053i	$-0.468326\pi$
$103$	−5.41974	−	2.24493i	−0.534023	−	0.221199i	−0.633364	+	0.773854i	$0.718326\pi$
$104$	5.34753	+	18.3459i	0.524369	+	1.79896i
$105$	−0.941483	−	0.833509i	−0.0918794	−	0.0813421i
$106$	6.99796	+	9.84095i	0.679702	+	0.955838i
$107$	2.08611	−	10.4876i	0.201672	−	1.01387i	−0.738780	−	0.673947i	$-0.764598\pi$
$107$	2.08611	−	10.4876i	0.201672	−	1.01387i	0.940452	−	0.339927i	$-0.110402\pi$
$108$	4.39640	+	9.41656i	0.423044	+	0.906109i
$109$	−9.25906	+	13.8572i	−0.886857	+	1.32728i	0.0574972	+	0.998346i	$0.481688\pi$
$109$	−9.25906	+	13.8572i	−0.886857	+	1.32728i	−0.944354	+	0.328930i	$0.893312\pi$
$110$	0.855729	+	0.325628i	0.0815906	+	0.0310474i
$111$	−1.44964	+	4.20554i	−0.137594	+	0.399172i
$112$	2.46021	−	8.67536i	0.232468	−	0.819745i
$113$	−0.393187	+	0.393187i	−0.0369879	+	0.0369879i	−0.725359	−	0.688371i	$-0.758326\pi$
$113$	−0.393187	+	0.393187i	−0.0369879	+	0.0369879i	0.688371	+	0.725359i	$0.258326\pi$
$114$	8.00707	+	6.68358i	0.749931	+	0.625975i
$115$	−1.02562	+	1.53495i	−0.0956399	+	0.143135i
$116$	−10.5319	+	2.74014i	−0.977858	+	0.254416i
$117$	−15.3635	+	13.2204i	−1.42036	+	1.22222i
$118$	−0.806411	+	4.77633i	−0.0742361	+	0.439696i
$119$	5.67388	−	2.35020i	0.520124	−	0.215442i
$120$	−1.35255	+	0.812104i	−0.123470	+	0.0741346i
$121$	−6.42853	−	2.66279i	−0.584412	−	0.242071i
$122$	5.00350	+	3.13664i	0.452996	+	0.283978i
$123$	12.1529	+	7.09273i	1.09579	+	0.639530i
$124$	−0.560254	−	9.61814i	−0.0503123	−	0.863735i
$125$	3.12568	−	0.621737i	0.279570	−	0.0556099i
$126$	9.45620	−	1.43501i	0.842425	−	0.127841i
$127$		−	12.6212i		−	1.11995i	−0.828510	−	0.559974i	$-0.810811\pi$
$127$		−	12.6212i		−	1.11995i	0.828510	−	0.559974i	$-0.189189\pi$
$128$	−9.45260	−	6.21677i	−0.835500	−	0.549490i
$129$	0.287393	+	0.589738i	0.0253036	+	0.0519236i
$130$	−2.23807	−	2.11150i	−0.196292	−	0.185191i
$131$	−3.14031	−	15.7874i	−0.274370	−	1.37935i	−0.834528	−	0.550966i	$-0.814259\pi$
$131$	−3.14031	−	15.7874i	−0.274370	−	1.37935i	0.560157	−	0.828386i	$-0.310741\pi$
$132$	−6.07249	+	3.40978i	−0.528542	+	0.296783i
$133$	7.98135	−	5.33297i	0.692071	−	0.462427i
$134$	7.50982	−	11.9795i	0.648750	−	1.03487i
$135$	−1.37809	−	0.949148i	−0.118607	−	0.0816897i
$136$	−0.671628	−	7.67590i	−0.0575916	−	0.658203i
$137$	8.21251	+	19.8268i	0.701642	+	1.69391i	0.719896	+	0.694081i	$0.244189\pi$
$137$	8.21251	+	19.8268i	0.701642	+	1.69391i	−0.0182540	+	0.999833i	$0.505811\pi$
$138$	−3.96412	−	13.4707i	−0.337449	−	1.14671i
$139$	2.30488	−	11.5874i	0.195497	−	0.982832i	−0.751045	−	0.660251i	$-0.770450\pi$
$139$	2.30488	−	11.5874i	0.195497	−	0.982832i	0.946542	−	0.322580i	$-0.104550\pi$
$140$	0.365593	+	1.40517i	0.0308983	+	0.118759i
$141$	10.5911	+	1.44496i	0.891936	+	0.121687i
$142$	−6.52359	+	2.92728i	−0.547447	+	0.245652i
$143$	−9.60449	−	9.60449i	−0.803168	−	0.803168i
$144$	1.85041	−	11.8565i	0.154201	−	0.988039i
$145$	1.23903	−	1.23903i	0.102896	−	0.102896i
$146$	−1.81260	+	4.76340i	−0.150012	+	0.394222i
$147$	−0.449034	+	3.29130i	−0.0370357	+	0.271462i
$148$	4.09770	−	3.09724i	0.336829	−	0.254591i
$149$	−1.69292	−	0.336742i	−0.138689	−	0.0275870i	0.125258	−	0.992124i	$-0.460024\pi$
$149$	−1.69292	−	0.336742i	−0.138689	−	0.0275870i	−0.263947	+	0.964537i	$0.585024\pi$
$150$	−5.74154	+	10.5298i	−0.468795	+	0.859756i
$151$	−5.77056	+	2.39024i	−0.469601	+	0.194515i	−0.604919	−	0.796287i	$-0.706794\pi$
$151$	−5.77056	+	2.39024i	−0.469601	+	0.194515i	0.135318	+	0.990802i	$0.456794\pi$
$152$	−3.37022	−	11.5623i	−0.273361	−	0.937825i
$153$	7.11575	−	4.01969i	0.575274	−	0.324973i
$154$	1.43277	+	6.24735i	0.115456	+	0.503426i
$155$	0.861855	+	1.28986i	0.0692259	+	0.103604i
$156$	23.2388	−	2.77713i	1.86059	−	0.222348i
$157$	2.47728	−	0.492762i	0.197709	−	0.0393267i	−0.0952425	−	0.995454i	$-0.530363\pi$
$157$	2.47728	−	0.492762i	0.197709	−	0.0393267i	0.292951	+	0.956127i	$0.405363\pi$
$158$	−0.0516628	−	1.77534i	−0.00411007	−	0.141239i
$159$	13.2947	−	6.47882i	1.05434	−	0.513803i
$160$	1.81933	+	0.0926648i	0.143830	+	0.00732580i
$161$	−12.9233			−1.01850
$162$	12.2596	−	3.42089i	0.963204	−	0.268771i
$163$	−0.386632	−	1.94373i	−0.0302833	−	0.152245i	0.962685	−	0.270624i	$-0.0872300\pi$
$163$	−0.386632	−	1.94373i	−0.0302833	−	0.152245i	−0.992968	+	0.118380i	$0.962230\pi$
$164$	−7.08026	−	14.6243i	−0.552875	−	1.14196i
$165$	0.565234	−	0.968488i	0.0440034	−	0.0753967i
$166$	−4.12511	−	17.9869i	−0.320171	−	1.39605i
$167$	−3.26287	+	7.87727i	−0.252489	+	0.609562i	−0.998404	−	0.0564794i	$-0.982012\pi$
$167$	−3.26287	+	7.87727i	−0.252489	+	0.609562i	0.745915	+	0.666041i	$0.232012\pi$
$168$	−9.98737	−	4.71427i	−0.770542	−	0.363714i
$169$	12.4931	+	30.1610i	0.961008	+	2.32008i
$170$	0.718990	+	1.01109i	0.0551440	+	0.0775469i
$171$	9.68265	−	8.33196i	0.740451	−	0.637161i
$172$	0.104332	−	0.750309i	0.00795521	−	0.0572105i
$173$	−7.61120	−	5.08564i	−0.578669	−	0.386654i	0.231514	−	0.972832i	$-0.425632\pi$
$173$	−7.61120	−	5.08564i	−0.578669	−	0.386654i	−0.810183	+	0.586177i	$0.800632\pi$
$174$	1.19591	+	13.2745i	0.0906616	+	1.00634i
$175$	7.80507	+	7.80507i	0.590008	+	0.590008i
$176$	8.01599	+	0.642502i	0.604228	+	0.0484304i
$177$	5.60872	+	1.93331i	0.421577	+	0.145316i
$178$	−9.36273	+	4.20127i	−0.701766	+	0.314898i
$179$	−2.06902	−	1.38248i	−0.154646	−	0.103331i	0.475840	−	0.879532i	$-0.342144\pi$
$179$	−2.06902	−	1.38248i	−0.154646	−	0.103331i	−0.630486	+	0.776201i	$0.717144\pi$
$180$	0.709588	+	1.79718i	0.0528896	+	0.133954i
$181$	−1.87039	−	0.372044i	−0.139025	−	0.0276538i	0.125087	−	0.992146i	$-0.460079\pi$
$181$	−1.87039	−	0.372044i	−0.139025	−	0.0276538i	−0.264112	+	0.964492i	$0.585079\pi$
$182$	3.58591	−	21.2392i	0.265806	−	1.57435i
$183$	4.79425	−	5.41530i	0.354401	−	0.400311i
$184$	−4.87556	+	15.4638i	−0.359431	+	1.14001i
$185$	−0.316504	+	0.764108i	−0.0232698	+	0.0561783i
$186$	−11.7329	−	1.25431i	−0.860297	−	0.0919708i
$187$	3.04276	+	4.55381i	0.222508	+	0.333007i
$188$	−9.22050	−	8.20545i	−0.672474	−	0.598444i
$189$	0.164940	−	11.7129i	0.0119976	−	0.851985i
$190$	1.41052	+	1.33075i	0.102330	+	0.0965425i
$191$	2.62478			0.189923			0.0949613	−	0.995481i	$-0.469727\pi$
$191$	2.62478			0.189923			0.0949613	+	0.995481i	$0.469727\pi$
$192$	−9.40891	+	10.1721i	−0.679029	+	0.734111i
$193$	4.95945			0.356989			0.178495	−	0.983941i	$-0.442877\pi$
$193$	4.95945			0.356989			0.178495	+	0.983941i	$0.442877\pi$
$194$	17.8323	+	16.8238i	1.28028	+	1.20788i
$195$	−3.00043	+	2.28002i	−0.214866	+	0.163276i
$196$	2.54992	−	2.86536i	0.182137	−	0.204669i
$197$	10.7615	+	16.1058i	0.766727	+	1.14749i	0.985160	+	0.171636i	$0.0549053\pi$
$197$	10.7615	+	16.1058i	0.766727	+	1.14749i	−0.218433	+	0.975852i	$0.570095\pi$
$198$	2.90033	+	8.02126i	0.206117	+	0.570046i
$199$	−8.04854	+	19.4309i	−0.570546	+	1.37742i	0.330546	+	0.943790i	$0.392767\pi$
$199$	−8.04854	+	19.4309i	−0.570546	+	1.37742i	−0.901091	+	0.433629i	$0.857233\pi$
$200$	12.2840	−	6.39479i	0.868609	−	0.452180i
$201$	−12.9654	−	11.4785i	−0.914512	−	0.809631i
$202$	4.12264	−	24.4182i	0.290068	−	1.71806i
$203$	12.0308	+	2.39308i	0.844399	+	0.167961i
$204$	−9.40868	−	0.729778i	−0.658739	−	0.0510947i
$205$	2.17528	+	1.45348i	0.151928	+	0.101515i
$206$	7.56908	−	3.39641i	0.527362	−	0.236639i
$207$	−17.0709	+	2.08460i	−1.18651	+	0.144890i
$208$	−24.0615	−	12.3037i	−1.66837	−	0.853107i
$209$	6.05311	+	6.05311i	0.418703	+	0.418703i
$210$	1.77110	−	0.159560i	0.122218	−	0.0110107i
$211$	16.7354	+	11.1822i	1.15211	+	0.769817i	0.976685	−	0.214676i	$-0.0688695\pi$
$211$	16.7354	+	11.1822i	1.15211	+	0.769817i	0.175427	+	0.984492i	$0.443869\pi$
$212$	−16.9145	−	2.35198i	−1.16169	−	0.161535i
$213$	2.22681	+	8.46939i	0.152579	+	0.580313i
$214$	8.76366	+	12.3240i	0.599072	+	0.842451i
$215$	0.0466774	+	0.112689i	0.00318337	+	0.00768534i
$216$	−13.9531	−	4.61625i	−0.949391	−	0.314096i
$217$	−4.15586	+	10.0331i	−0.282118	+	0.681093i
$218$	−5.26856	−	22.9727i	−0.356832	−	1.55591i
$219$	5.39107	+	3.14637i	0.364295	+	0.212612i
$220$	−1.16544	+	0.564240i	−0.0785738	+	0.0380411i
$221$	−3.59069	−	18.0516i	−0.241536	−	1.21428i
$222$	−2.91923	−	5.57262i	−0.195926	−	0.374010i
$223$	25.3028			1.69440			0.847201	−	0.531273i	$-0.178286\pi$
$223$	25.3028			1.69440			0.847201	+	0.531273i	$0.178286\pi$
$224$	6.53643	+	10.9501i	0.436734	+	0.731633i
$225$	11.5690	+	9.05103i	0.771268	+	0.603402i
$226$	−0.0228740	−	0.786041i	−0.00152155	−	0.0522867i
$227$	−28.7840	+	5.72550i	−1.91046	+	0.380015i	−0.999475	−	0.0324148i	$-0.989680\pi$
$227$	−28.7840	+	5.72550i	−1.91046	+	0.380015i	−0.910989	+	0.412430i	$0.864680\pi$
$228$	−14.6459	+	1.75025i	−0.969951	+	0.115913i
$229$	−1.83951	−	2.75302i	−0.121558	−	0.181924i	0.765700	−	0.643198i	$-0.222393\pi$
$229$	−1.83951	−	2.75302i	−0.121558	−	0.181924i	−0.887258	+	0.461273i	$0.847393\pi$
$230$	−0.583597	−	2.54468i	−0.0384812	−	0.167791i
$231$	7.83557	−	0.476646i	0.515543	−	0.0313610i
$232$	7.40236	−	13.4930i	0.485989	−	0.885860i
$233$	−23.0927	+	9.56529i	−1.51285	+	0.626643i	−0.976144	−	0.217126i	$-0.930332\pi$
$233$	−23.0927	+	9.56529i	−1.51285	+	0.626643i	−0.536706	+	0.843769i	$0.680332\pi$
$234$	1.31079	−	28.6341i	0.0856888	−	1.87187i
$235$	1.94921	+	0.387723i	0.127153	+	0.0252922i
$236$	−4.13063	−	5.46490i	−0.268881	−	0.355735i
$237$	−2.15530	−	0.294048i	−0.140002	−	0.0191005i
$238$	−3.08887	+	8.11736i	−0.200222	+	0.526170i
$239$	10.2155	−	10.2155i	0.660783	−	0.660783i	−0.294782	−	0.955565i	$-0.595247\pi$
$239$	10.2155	−	10.2155i	0.660783	−	0.660783i	0.955565	+	0.294782i	$0.0952469\pi$
$240$	0.477253	−	2.17946i	0.0308065	−	0.140683i
$241$	−12.7558	−	12.7558i	−0.821670	−	0.821670i	0.164677	−	0.986348i	$-0.447342\pi$
$241$	−12.7558	−	12.7558i	−0.821670	−	0.821670i	−0.986348	+	0.164677i	$0.947342\pi$
$242$	8.97793	−	4.02860i	0.577123	−	0.258968i
$243$	−1.67147	−	15.4986i	−0.107225	−	0.994235i
$244$	−8.08239	+	2.10285i	−0.517422	+	0.134621i
$245$	−0.120489	+	0.605738i	−0.00769774	+	0.0386992i
$246$	−19.0903	+	5.61782i	−1.21715	+	0.358179i
$247$	−11.0090	−	26.5780i	−0.700485	−	1.69112i
$248$	10.4376	+	8.75799i	0.662786	+	0.556133i
$249$	−22.5595	+	1.37232i	−1.42965	+	0.0869672i
$250$	−2.39388	+	3.81867i	−0.151402	+	0.241514i
$251$	−8.72325	+	5.82869i	−0.550607	+	0.367904i	−0.799536	−	0.600618i	$-0.794921\pi$
$251$	−8.72325	+	5.82869i	−0.550607	+	0.367904i	0.248929	+	0.968522i	$0.419921\pi$
$252$	−7.70099	+	11.1199i	−0.485117	+	0.700489i
$253$	−2.24840	−	11.3035i	−0.141356	−	0.710644i
$254$	12.9830	+	12.2487i	0.814624	+	0.768553i
$255$	1.36593	−	0.665652i	0.0855381	−	0.0416848i
$256$	15.5686	−	3.69025i	0.973039	−	0.230641i
$257$			12.2349i			0.763193i	0.924329	+	0.381596i	$0.124626\pi$
$257$			12.2349i			0.763193i	−0.924329	+	0.381596i	$0.875374\pi$
$258$	−0.885555	−	0.276703i	−0.0551323	−	0.0172268i
$259$	−5.67857	+	1.12954i	−0.352849	+	0.0701860i
$260$	4.34405	−	0.253040i	0.269406	−	0.0156929i
$261$	16.2780	+	1.22048i	1.00758	+	0.0755459i
$262$	19.2876	+	12.0912i	1.19159	+	0.746996i
$263$	11.1339	+	4.61180i	0.686544	+	0.284376i	0.698560	−	0.715552i	$-0.253825\pi$
$263$	11.1339	+	4.61180i	0.686544	+	0.284376i	−0.0120153	+	0.999928i	$0.503825\pi$
$264$	2.38576	−	9.55571i	0.146833	−	0.588113i
$265$	2.54039	−	1.05227i	0.156055	−	0.0646402i
$266$	−2.25998	+	13.3857i	−0.138568	+	0.820732i
$267$	3.19595	+	12.1554i	0.195589	+	0.743897i
$268$	5.03469	+	19.3511i	0.307543	+	1.18205i
$269$	1.94367	−	2.90890i	0.118507	−	0.177359i	−0.767473	−	0.641081i	$-0.778486\pi$
$269$	1.94367	−	2.90890i	0.118507	−	0.177359i	0.885981	+	0.463722i	$0.153486\pi$
$270$	2.31378	−	0.496456i	0.140812	−	0.0302134i
$271$	−13.9577	+	13.9577i	−0.847870	+	0.847870i	−0.989867	−	0.141997i	$-0.954648\pi$
$271$	−13.9577	+	13.9577i	−0.847870	+	0.847870i	0.141997	+	0.989867i	$0.454648\pi$
$272$	8.54774	+	6.75850i	0.518283	+	0.409794i
$273$	−24.9406	−	8.59696i	−1.50947	−	0.520312i
$274$	−28.3652	−	10.7937i	−1.71361	−	0.652073i
$275$	−5.46883	+	8.18468i	−0.329783	+	0.493555i
$276$	17.7040	+	8.99545i	1.06566	+	0.541463i
$277$	0.588884	−	2.96052i	0.0353826	−	0.177881i	−0.959053	−	0.283227i	$-0.908595\pi$
$277$	0.588884	−	2.96052i	0.0353826	−	0.177881i	0.994436	+	0.105346i	$0.0335951\pi$
$278$	9.68271	+	13.6164i	0.580730	+	0.816658i
$279$	−3.87124	+	13.9235i	−0.231765	+	0.833579i
$280$	−1.80026	−	0.987632i	−0.107586	−	0.0590223i
$281$	−2.05608	−	0.851655i	−0.122655	−	0.0508055i	0.320512	−	0.947245i	$-0.396145\pi$
$281$	−2.05608	−	0.851655i	−0.122655	−	0.0508055i	−0.443167	+	0.896439i	$0.646145\pi$
$282$	−11.7650	+	9.49243i	−0.700594	+	0.565266i
$283$	22.2557	−	14.8708i	1.32297	−	0.883977i	0.324875	−	0.945757i	$-0.394678\pi$
$283$	22.2557	−	14.8708i	1.32297	−	0.883977i	0.998090	+	0.0617797i	$0.0196776\pi$
$284$	3.31988	−	9.55148i	0.196999	−	0.566776i
$285$	1.89099	−	1.43695i	0.112012	−	0.0851178i
$286$	19.2009	−	0.558749i	1.13537	−	0.0330395i
$287$			18.3145i			1.08107i
$288$	10.4005	+	13.4100i	0.612857	+	0.790194i
$289$		−	9.57868i		−	0.563452i
$290$	0.0720814	+	2.47701i	0.00423277	+	0.145455i
$291$	23.9065	−	18.1665i	1.40143	−	1.06494i
$292$	−3.14084	−	6.48739i	−0.183803	−	0.379646i
$293$	5.53441	−	3.69798i	0.323324	−	0.216038i	−0.383306	−	0.923621i	$-0.625215\pi$
$293$	5.53441	−	3.69798i	0.323324	−	0.216038i	0.706630	+	0.707583i	$0.250215\pi$
$294$	−2.94987	−	3.65608i	−0.172040	−	0.213227i
$295$	1.01905	+	0.422105i	0.0593315	+	0.0245759i
$296$	−0.790758	+	7.22100i	−0.0459619	+	0.419712i
$297$	10.2734	−	1.89354i	0.596125	−	0.109874i
$298$	1.98935	−	1.41464i	0.115240	−	0.0819478i
$299$	−7.55593	+	37.9862i	−0.436971	+	2.19680i
$300$	−5.25955	−	16.1252i	−0.303660	−	0.930988i
$301$	−0.474386	+	0.709969i	−0.0273432	+	0.0409219i
$302$	3.14150	−	8.25567i	0.180773	−	0.475061i
$303$	−28.6736	−	9.88372i	−1.64726	−	0.567805i
$304$	15.1645	+	7.75424i	0.869742	+	0.444736i
$305$	0.950860	−	0.950860i	0.0544461	−	0.0544461i
$306$	−2.77084	+	11.2208i	−0.158398	+	0.641450i
$307$	−4.52136	+	6.76670i	−0.258048	+	0.386196i	−0.937761	−	0.347283i	$-0.887104\pi$
$307$	−4.52136	+	6.76670i	−0.258048	+	0.386196i	0.679713	+	0.733478i	$0.262104\pi$
$308$	−7.81692	−	4.58915i	−0.445410	−	0.261491i
$309$	−2.58369	−	9.82672i	−0.146981	−	0.559022i
$310$	−2.16325	−	0.365232i	−0.122864	−	0.0207438i
$311$	6.53824	−	2.70823i	0.370749	−	0.153569i	−0.189526	−	0.981876i	$-0.560695\pi$
$311$	6.53824	−	2.70823i	0.370749	−	0.153569i	0.560276	+	0.828306i	$0.310695\pi$
$312$	−19.6962	+	26.6001i	−1.11508	+	1.50593i
$313$	8.49472	+	3.51863i	0.480150	+	0.198885i	0.609612	−	0.792700i	$-0.291325\pi$
$313$	8.49472	+	3.51863i	0.480150	+	0.198885i	−0.129462	+	0.991584i	$0.541325\pi$
$314$	−1.89729	+	3.02651i	−0.107070	+	0.170796i
$315$	0.162838	−	2.17183i	0.00917489	−	0.122369i
$316$	1.87637	+	1.66981i	0.105554	+	0.0939340i
$317$	16.5670	−	3.29538i	0.930496	−	0.185087i	0.293504	−	0.955958i	$-0.405178\pi$
$317$	16.5670	−	3.29538i	0.930496	−	0.185087i	0.636992	+	0.770871i	$0.280178\pi$
$318$	−6.23782	+	19.9634i	−0.349799	+	1.11949i
$319$			10.9392i			0.612477i
$320$	−1.86096	+	1.78155i	−0.104031	+	0.0995916i
$321$	16.6492	−	8.11353i	0.929266	−	0.452853i
$322$	12.5420	−	13.2938i	0.698936	−	0.740834i
$323$	2.26299	+	11.3768i	0.125916	+	0.633022i
$324$	−8.37884	+	15.9309i	−0.465491	+	0.885053i
$325$	27.5053	−	18.3784i	1.52572	−	1.01945i
$326$	2.37467	+	1.48865i	0.131521	+	0.0824488i
$327$	−28.8129	+	1.75272i	−1.59336	+	0.0969255i
$328$	21.9148	+	6.90947i	1.21004	+	0.381512i
$329$	5.32416	+	12.8537i	0.293530	+	0.708645i
$330$	0.447696	+	1.52134i	0.0246448	+	0.0837472i
$331$	6.05143	−	30.4226i	0.332617	−	1.67218i	−0.346425	−	0.938078i	$-0.612604\pi$
$331$	6.05143	−	30.4226i	0.332617	−	1.67218i	0.679042	−	0.734100i	$-0.262396\pi$
$332$	22.5058	+	13.2127i	1.23517	+	0.725141i
$333$	−7.31884	+	2.40803i	−0.401070	+	0.131959i
$334$	−4.93649	−	11.0012i	−0.270113	−	0.601959i
$335$	−2.27657	−	2.27657i	−0.124382	−	0.124382i
$336$	14.5420	−	5.69851i	0.793333	−	0.310879i
$337$	−19.5173	+	19.5173i	−1.06317	+	1.06317i	−0.0653081	+	0.997865i	$0.520803\pi$
$337$	−19.5173	+	19.5173i	−1.06317	+	1.06317i	−0.997865	+	0.0653081i	$0.979197\pi$
$338$	−43.1500	−	16.4197i	−2.34705	−	0.893115i
$339$	−0.954267	−	0.130191i	−0.0518287	−	0.00707101i
$340$	−1.73784	−	0.241650i	−0.0942478	−	0.0131053i
$341$	−9.49858	−	1.88938i	−0.514377	−	0.102316i
$342$	−0.826107	+	18.0463i	−0.0446708	+	0.975831i
$343$	−18.5737	+	7.69349i	−1.00289	+	0.415410i
$344$	0.670564	+	0.835489i	0.0361544	+	0.0450465i
$345$	−3.19159	+	0.194148i	−0.171830	+	0.0104526i
$346$	12.6180	−	2.89381i	0.678348	−	0.155572i
$347$	−18.1081	−	27.1006i	−0.972092	−	1.45484i	−0.888790	−	0.458314i	$-0.848453\pi$
$347$	−18.1081	−	27.1006i	−0.972092	−	1.45484i	−0.0833020	−	0.996524i	$-0.526547\pi$
$348$	−14.8156	−	11.6526i	−0.794201	−	0.624643i
$349$	−5.16303	+	1.02699i	−0.276371	+	0.0549735i	−0.331330	−	0.943515i	$-0.607497\pi$
$349$	−5.16303	+	1.02699i	−0.276371	+	0.0549735i	0.0549589	+	0.998489i	$0.482497\pi$
$350$	−15.6035	+	0.454066i	−0.834044	+	0.0242709i
$351$	−34.3318	−	7.33301i	−1.83249	−	0.391407i
$352$	−8.44035	+	7.62223i	−0.449872	+	0.406266i
$353$	2.47590			0.131779			0.0658896	−	0.997827i	$-0.479011\pi$
$353$	2.47590			0.131779			0.0658896	+	0.997827i	$0.479011\pi$
$354$	−7.43192	+	3.89323i	−0.395002	+	0.206923i
$355$	0.317644	+	1.59691i	0.0168588	+	0.0847549i
$356$	4.76473	−	13.7084i	0.252530	−	0.726544i
$357$	9.18698	+	5.36176i	0.486226	+	0.283774i
$358$	3.43007	−	0.786653i	0.181285	−	0.0415759i
$359$	10.8412	−	26.1730i	0.572178	−	1.38136i	−0.327519	−	0.944844i	$-0.606213\pi$
$359$	10.8412	−	26.1730i	0.572178	−	1.38136i	0.899697	−	0.436515i	$-0.143787\pi$
$360$	−2.53734	−	1.01421i	−0.133730	−	0.0534536i
$361$	−0.332709	−	0.803232i	−0.0175110	−	0.0422753i
$362$	2.19791	−	1.56294i	0.115519	−	0.0821465i
$363$	−3.06460	−	11.6558i	−0.160850	−	0.611771i
$364$	18.3679	+	24.3011i	0.962740	+	1.27372i
$365$	0.964967	+	0.644770i	0.0505087	+	0.0337488i
$366$	0.917769	+	10.1872i	0.0479725	+	0.532491i
$367$	−10.4204	−	10.4204i	−0.543941	−	0.543941i	0.380741	−	0.924682i	$-0.375669\pi$
$367$	−10.4204	−	10.4204i	−0.543941	−	0.543941i	−0.924682	+	0.380741i	$0.875669\pi$
$368$	−11.1754	−	20.0228i	−0.582558	−	1.04376i
$369$	2.95422	+	24.1924i	0.153791	+	1.25940i
$370$	−0.478847	−	1.06713i	−0.0248941	−	0.0554777i
$371$	16.0051	+	10.6943i	0.830942	+	0.555218i
$372$	12.6769	−	10.8519i	0.657267	−	0.562645i
$373$	−23.9578	−	4.76550i	−1.24049	−	0.246748i	−0.469117	−	0.883136i	$-0.655428\pi$
$373$	−23.9578	−	4.76550i	−1.24049	−	0.246748i	−0.771369	+	0.636388i	$0.780428\pi$
$374$	−7.63730	−	1.28944i	−0.394916	−	0.0666755i
$375$	4.13296	+	3.65897i	0.213425	+	0.188948i
$376$	17.3891	−	1.52151i	0.896772	−	0.0784660i
$377$	14.0682	−	33.9637i	0.724550	−	1.74922i
$378$	11.8885	+	11.5369i	0.611480	+	0.593393i
$379$	0.639117	+	0.956506i	0.0328292	+	0.0491324i	0.847521	−	0.530761i	$-0.178094\pi$
$379$	0.639117	+	0.956506i	0.0328292	+	0.0491324i	−0.814692	+	0.579894i	$0.803094\pi$
$380$	−2.73778	+	0.159475i	−0.140445	+	0.00818090i
$381$	17.4054	−	13.2263i	0.891705	−	0.677604i
$382$	−2.54732	+	2.70002i	−0.130332	+	0.138145i
$383$	7.23511			0.369697			0.184848	−	0.982767i	$-0.440821\pi$
$383$	7.23511			0.369697			0.184848	+	0.982767i	$0.440821\pi$
$384$	−1.33248	−	19.5506i	−0.0679981	−	0.997685i
$385$	1.45952			0.0743841
$386$	−4.81309	+	5.10162i	−0.244980	+	0.259665i
$387$	−0.512113	+	1.01435i	−0.0260322	+	0.0515621i
$388$	−34.6120	+	2.01614i	−1.75716	+	0.102354i
$389$	−12.1387	−	18.1669i	−0.615458	−	0.921098i	0.384540	−	0.923108i	$-0.374360\pi$
$389$	−12.1387	−	18.1669i	−0.615458	−	0.921098i	−0.999998	+	0.00201037i	$0.999360\pi$
$390$	0.566513	−	5.29917i	0.0286865	−	0.268334i
$391$	5.97628	−	14.4280i	0.302233	−	0.729656i
$392$	0.472825	+	5.40382i	0.0238813	+	0.272934i
$393$	18.4809	−	20.8750i	0.932240	−	1.05300i
$394$	−27.0114	−	4.56046i	−1.36081	−	0.229753i
$395$	−0.396665	−	0.0789015i	−0.0199584	−	0.00396996i
$396$	−11.0659	−	4.80108i	−0.556084	−	0.241263i
$397$	−2.88521	−	1.92783i	−0.144804	−	0.0967553i	0.481058	−	0.876689i	$-0.340253\pi$
$397$	−2.88521	−	1.92783i	−0.144804	−	0.0967553i	−0.625862	+	0.779934i	$0.715253\pi$
$398$	−12.1769	−	27.1367i	−0.610370	−	1.36024i
$399$	15.7185	+	5.41813i	0.786910	+	0.271246i
$400$	−5.34338	+	18.8422i	−0.267169	+	0.942109i
$401$	−3.52904	−	3.52904i	−0.176232	−	0.176232i	0.613479	−	0.789711i	$-0.289769\pi$
$401$	−3.52904	−	3.52904i	−0.176232	−	0.176232i	−0.789711	+	0.613479i	$0.789769\pi$
$402$	24.3904	−	2.19734i	1.21648	−	0.109594i
$403$	27.0611	+	18.0816i	1.34801	+	0.900710i
$404$	21.1171	+	27.9384i	1.05062	+	1.38999i
$405$	−0.135229	−	2.89513i	−0.00671957	−	0.143860i
$406$	−14.1375	+	10.0532i	−0.701631	+	0.498934i
$407$	−1.97591	−	4.77028i	−0.0979424	−	0.236454i
$408$	9.88172	−	8.97013i	0.489218	−	0.444088i
$409$	−5.58509	+	13.4836i	−0.276165	+	0.666721i	−0.999723	−	0.0235426i	$-0.992505\pi$
$409$	−5.58509	+	13.4836i	−0.276165	+	0.666721i	0.723558	+	0.690264i	$0.242505\pi$
$410$	−3.60623	+	0.827054i	−0.178099	+	0.0408453i
$411$	−18.7361	+	32.1029i	−0.924183	+	1.58352i
$412$	−3.85193	+	11.0822i	−0.189771	+	0.545982i
$413$	1.50641	+	7.57322i	0.0741254	+	0.372654i
$414$	14.4228	−	19.5834i	0.708843	−	0.962470i
$415$	−4.20214			−0.206275
$416$	36.0078	−	12.8106i	1.76543	−	0.628093i
$417$	18.3952	−	8.96440i	0.900815	−	0.438988i
$418$	−12.1011	+	0.352145i	−0.591884	+	0.0172240i
$419$	0.203629	−	0.0405044i	0.00994795	−	0.00197877i	−0.190114	−	0.981762i	$-0.560886\pi$
$419$	0.203629	−	0.0405044i	0.00994795	−	0.00197877i	0.200062	+	0.979783i	$0.435886\pi$
$420$	−1.55470	+	1.97672i	−0.0758616	+	0.0964540i
$421$	3.14722	+	4.71015i	0.153386	+	0.229559i	0.900202	−	0.435472i	$-0.143418\pi$
$421$	3.14722	+	4.71015i	0.153386	+	0.229559i	−0.746816	+	0.665031i	$0.768418\pi$
$422$	−27.7443	+	6.36288i	−1.35057	+	0.309740i
$423$	9.10625	+	16.1201i	0.442761	+	0.783785i
$424$	18.8347	−	15.1168i	0.914695	−	0.734135i
$425$	−12.3232	+	5.10444i	−0.597763	+	0.247602i
$426$	−10.8733	−	5.92881i	−0.526811	−	0.287252i
$427$	9.23275	+	1.83651i	0.446804	+	0.0888749i
$428$	−21.1823	−	2.94543i	−1.02389	−	0.142373i
$429$	3.18022	−	23.3102i	0.153542	−	1.12543i
$430$	−0.161219	−	0.0613483i	−0.00777469	−	0.00295848i
$431$	1.66766	−	1.66766i	0.0803285	−	0.0803285i	−0.665801	−	0.746129i	$-0.731910\pi$
$431$	1.66766	−	1.66766i	0.0803285	−	0.0803285i	0.746129	+	0.665801i	$0.231910\pi$
$432$	18.2899	−	9.87309i	0.879975	−	0.475019i
$433$	2.29406	+	2.29406i	0.110246	+	0.110246i	0.760078	−	0.649832i	$-0.225161\pi$
$433$	2.29406	+	2.29406i	0.110246	+	0.110246i	−0.649832	+	0.760078i	$0.725161\pi$
$434$	−6.28751	−	14.0120i	−0.301810	−	0.672599i
$435$	3.00713	+	0.410264i	0.144181	+	0.0196707i
$436$	28.7443	+	16.8752i	1.37660	+	0.808174i
$437$	4.76203	−	23.9403i	0.227799	−	1.14522i
$438$	−8.46854	+	2.49209i	−0.404642	+	0.119077i
$439$	−7.36936	−	17.7912i	−0.351721	−	0.849129i	−0.996408	−	0.0846823i	$-0.973012\pi$
$439$	−7.36936	−	17.7912i	−0.351721	−	0.849129i	0.644687	−	0.764446i	$-0.276988\pi$
$440$	0.550630	−	1.74643i	0.0262503	−	0.0832580i
$441$	−5.00948	+	2.82986i	−0.238546	+	0.134755i
$442$	22.0538	+	13.8253i	1.04899	+	0.657601i
$443$	14.2497	−	9.52137i	0.677026	−	0.452374i	−0.168929	−	0.985628i	$-0.554031\pi$
$443$	14.2497	−	9.52137i	0.677026	−	0.452374i	0.845955	+	0.533254i	$0.179031\pi$
$444$	8.56545	+	2.40526i	0.406498	+	0.114148i
$445$	0.455887	+	2.29190i	0.0216111	+	0.108646i
$446$	−24.5561	+	26.0281i	−1.16277	+	1.23247i
$447$	−1.30969	−	2.68752i	−0.0619464	−	0.127115i
$448$	−17.6075	−	3.90314i	−0.831876	−	0.184406i
$449$		−	20.5109i		−	0.967969i	−0.875076	−	0.483985i	$-0.839189\pi$
$449$		−	20.5109i		−	0.967969i	0.875076	−	0.483985i	$-0.160811\pi$
$450$	−20.5381	+	3.11672i	−0.968174	+	0.146924i
$451$	−16.0189	+	3.18636i	−0.754301	+	0.150040i
$452$	0.830772	+	0.739315i	0.0390762	+	0.0347744i
$453$	−9.34351	−	5.45311i	−0.438997	−	0.256210i
$454$	22.0450	−	35.1657i	1.03462	−	1.65041i
$455$	−4.53148	−	1.87700i	−0.212439	−	0.0879951i
$456$	12.4133	−	16.7644i	0.581306	−	0.785063i
$457$	12.1851	−	5.04723i	0.569994	−	0.236099i	−0.0790232	−	0.996873i	$-0.525180\pi$
$457$	12.1851	−	5.04723i	0.569994	−	0.236099i	0.649018	+	0.760773i	$0.275180\pi$
$458$	4.61715	+	0.779536i	0.215745	+	0.0364253i
$459$	13.0003	+	5.60065i	0.606803	+	0.261416i
$460$	3.18400	+	1.86926i	0.148455	+	0.0871546i
$461$	−13.4220	+	20.0875i	−0.625125	+	0.935566i	0.374839	+	0.927090i	$0.377698\pi$
$461$	−13.4220	+	20.0875i	−0.625125	+	0.935566i	−0.999964	+	0.00847605i	$0.997302\pi$
$462$	−7.11403	+	8.52275i	−0.330974	+	0.396514i
$463$	13.1623	−	13.1623i	0.611703	−	0.611703i	−0.331686	−	0.943390i	$-0.607618\pi$
$463$	13.1623	−	13.1623i	0.611703	−	0.611703i	0.943390	+	0.331686i	$0.107618\pi$
$464$	6.69589	+	20.7094i	0.310849	+	0.961408i
$465$	−0.875617	+	2.54025i	−0.0406058	+	0.117801i
$466$	12.5717	−	33.0376i	0.582372	−	1.53044i
$467$	9.33427	−	13.9697i	0.431938	−	0.646441i	−0.550105	−	0.835095i	$-0.685412\pi$
$467$	9.33427	−	13.9697i	0.431938	−	0.646441i	0.982044	+	0.188654i	$0.0604124\pi$
$468$	28.1828	+	29.1374i	1.30275	+	1.34688i
$469$	4.39701	−	22.1053i	0.203035	−	1.02073i
$470$	−2.29053	+	1.62881i	−0.105654	+	0.0751313i
$471$	3.27560	+	2.89994i	0.150932	+	0.133622i
$472$	9.63028	+	1.05459i	0.443269	+	0.0485416i
$473$	−0.703512	−	0.291404i	−0.0323475	−	0.0133988i
$474$	2.39417	−	1.93171i	0.109968	−	0.0887262i
$475$	−17.3348	+	11.5828i	−0.795377	+	0.531454i
$476$	−5.35233	−	11.0552i	−0.245323	−	0.506715i
$477$	22.8668	+	11.5448i	1.04700	+	0.528598i
$478$	0.594292	+	20.4223i	0.0271823	+	0.934093i
$479$			15.8581i			0.724575i	0.932066	+	0.362288i	$0.118004\pi$
$479$			15.8581i			0.724575i	−0.932066	+	0.362288i	$0.881996\pi$
$480$	1.77876	+	2.60607i	0.0811891	+	0.118950i
$481$			17.3517i			0.791170i
$482$	25.5007	−	0.742076i	1.16153	−	0.0338006i
$483$	−13.5429	−	17.8221i	−0.616225	−	0.810933i
$484$	−4.56891	+	13.1450i	−0.207678	+	0.597500i
$485$	4.64170	−	3.10149i	0.210769	−	0.140831i
$486$	17.5650	+	13.3218i	0.796764	+	0.604290i
$487$	10.8169	+	4.48050i	0.490160	+	0.203031i	0.614053	−	0.789265i	$-0.289538\pi$
$487$	10.8169	+	4.48050i	0.490160	+	0.203031i	−0.123893	+	0.992296i	$0.539538\pi$
$488$	5.68075	−	10.3549i	0.257155	−	0.468743i
$489$	2.27535	−	2.57011i	0.102895	−	0.116224i
$490$	−0.506168	−	0.711804i	−0.0228663	−	0.0321560i
$491$	−3.80658	+	19.1370i	−0.171789	+	0.863639i	0.794714	+	0.606984i	$0.207621\pi$
$491$	−3.80658	+	19.1370i	−0.171789	+	0.863639i	−0.966503	+	0.256656i	$0.917379\pi$
$492$	12.7480	−	25.0895i	0.574726	−	1.13112i
$493$	−8.23526	+	12.3249i	−0.370897	+	0.555087i
$494$	38.0240	+	14.4691i	1.71078	+	0.650997i
$495$	1.92794	−	0.235428i	0.0866544	−	0.0105817i
$496$	−19.1386	+	2.23723i	−0.859348	+	0.100454i
$497$	−8.05964	+	8.05964i	−0.361524	+	0.361524i
$498$	20.4821	−	24.5380i	0.917826	−	1.09957i
$499$	8.85369	−	13.2505i	0.396346	−	0.593173i	−0.578601	−	0.815610i	$-0.696401\pi$
$499$	8.85369	−	13.2505i	0.396346	−	0.593173i	0.974947	+	0.222437i	$0.0714013\pi$
$500$	−1.60489	−	6.16848i	−0.0717731	−	0.275863i
$501$	−14.2826	+	3.75524i	−0.638098	+	0.167772i
$502$	2.47005	−	14.6300i	0.110244	−	0.652968i
$503$	−36.1445	+	14.9715i	−1.61160	+	0.667547i	−0.992995	−	0.118153i	$-0.962303\pi$
$503$	−36.1445	+	14.9715i	−1.61160	+	0.667547i	−0.618607	+	0.785701i	$0.712303\pi$
$504$	−3.96494	−	18.7135i	−0.176613	−	0.833565i
$505$	−5.20973	−	2.15794i	−0.231830	−	0.0960271i
$506$	13.8095	+	8.65705i	0.613909	+	0.384853i
$507$	−28.5018	+	48.8358i	−1.26581	+	2.16888i
$508$	−25.1996	+	1.46787i	−1.11805	+	0.0651263i
$509$	−18.7355	+	3.72672i	−0.830436	+	0.165184i	−0.591963	−	0.805965i	$-0.701647\pi$
$509$	−18.7355	+	3.72672i	−0.830436	+	0.165184i	−0.238473	+	0.971149i	$0.576647\pi$
$510$	−0.640891	+	2.05110i	−0.0283791	+	0.0908241i
$511$			8.12440i			0.359402i
$512$	−11.3131	+	19.5962i	−0.499975	+	0.866040i
$513$	21.6372	+	4.62154i	0.955305	+	0.204046i
$514$	−12.5856	−	11.8738i	−0.555128	−	0.523733i
$515$	−0.368551	−	1.85283i	−0.0162403	−	0.0816454i
$516$	1.14406	−	0.642402i	0.0503643	−	0.0282802i
$517$	−10.3162	+	6.89309i	−0.453708	+	0.303158i
$518$	4.34907	−	6.93755i	0.191087	−	0.304818i
$519$	−0.962699	−	15.8258i	−0.0422578	−	0.694675i
$520$	−3.95556	+	4.71414i	−0.173463	+	0.206729i
$521$	−12.4390	−	30.0303i	−0.544961	−	1.31565i	−0.921185	−	0.389124i	$-0.872778\pi$
$521$	−12.4390	−	30.0303i	−0.544961	−	1.31565i	0.376224	−	0.926529i	$-0.377222\pi$
$522$	−17.0531	+	15.5602i	−0.746394	+	0.681050i
$523$	−1.09535	+	5.50671i	−0.0478965	+	0.240792i	−0.997316	−	0.0732190i	$-0.976673\pi$
$523$	−1.09535	+	5.50671i	−0.0478965	+	0.240792i	0.949419	+	0.314011i	$0.101673\pi$
$524$	−31.1562	+	8.10611i	−1.36106	+	0.354117i
$525$	−2.58440	+	18.9430i	−0.112792	+	0.826739i
$526$	−15.5493	+	6.97732i	−0.677982	+	0.304226i
$527$	−9.27945	−	9.27945i	−0.404219	−	0.404219i
$528$	7.51426	+	11.7279i	0.327016	+	0.510389i
$529$	−6.97387	+	6.97387i	−0.303212	+	0.303212i
$530$	−1.38300	+	3.63443i	−0.0600735	+	0.157869i
$531$	3.21147	+	9.76077i	0.139366	+	0.423581i
$532$	−11.5761	−	15.3155i	−0.501889	−	0.664009i
$533$	53.8328	+	10.7080i	2.33176	+	0.463815i
$534$	−15.6054	−	8.50909i	−0.675313	−	0.368224i
$535$	3.18138	−	1.31777i	0.137543	−	0.0569722i
$536$	−24.7919	−	13.6010i	−1.07085	−	0.587473i
$537$	−0.261699	−	4.30207i	−0.0112932	−	0.185648i
$538$	1.10598	+	4.82244i	0.0476821	+	0.207910i
$539$	−2.14210	−	3.20587i	−0.0922666	−	0.138087i
$540$	−1.73481	+	2.86191i	−0.0746543	+	0.123157i
$541$	−25.0153	+	4.97586i	−1.07549	+	0.213929i	−0.700900	−	0.713260i	$-0.747218\pi$
$541$	−25.0153	+	4.97586i	−1.07549	+	0.213929i	−0.374594	+	0.927189i	$0.622218\pi$
$542$	−0.812001	−	27.9036i	−0.0348784	−	1.19856i
$543$	−1.44700	−	2.96927i	−0.0620966	−	0.127424i
$544$	−15.2477	+	2.23371i	−0.653740	+	0.0957694i
$545$	−5.36694			−0.229894
$546$	33.0480	−	17.3123i	1.41432	−	0.740897i
$547$	2.01752	+	10.1427i	0.0862628	+	0.433673i	0.999647	+	0.0265735i	$0.00845961\pi$
$547$	2.01752	+	10.1427i	0.0862628	+	0.433673i	−0.913384	+	0.407099i	$0.866540\pi$
$548$	38.6313	−	18.7031i	1.65025	−	0.798958i
$549$	12.4921	+	0.936626i	0.533152	+	0.0399742i
$550$	−3.11185	−	13.5687i	−0.132690	−	0.578573i
$551$	−8.86632	+	21.4052i	−0.377718	+	0.911892i
$552$	−26.4349	+	9.48151i	−1.12514	+	0.403560i
$553$	−1.08346	−	2.61572i	−0.0460736	−	0.111232i
$554$	2.47388	+	3.47892i	0.105105	+	0.147805i
$555$	−1.38543	+	0.364264i	−0.0588082	+	0.0154621i
$556$	−23.4037	−	3.25432i	−0.992537	−	0.138014i
$557$	26.6333	+	17.7958i	1.12849	+	0.754032i	0.972310	−	0.233697i	$-0.0750823\pi$
$557$	26.6333	+	17.7958i	1.12849	+	0.754032i	0.156179	+	0.987729i	$0.450082\pi$
$558$	−10.5656	−	17.4948i	−0.447279	−	0.740615i
$559$	1.80949	+	1.80949i	0.0765331	+	0.0765331i
$560$	2.76307	−	0.893374i	0.116761	−	0.0377519i
$561$	−3.09134	+	8.96829i	−0.130517	+	0.378641i
$562$	2.87147	−	1.28849i	0.121126	−	0.0543517i
$563$	20.2258	+	13.5144i	0.852415	+	0.569565i	0.903237	−	0.429142i	$-0.141184\pi$
$563$	20.2258	+	13.5144i	0.852415	+	0.569565i	−0.0508221	+	0.998708i	$0.516184\pi$
$564$	1.65325	−	21.3145i	0.0696142	−	0.897502i
$565$	−0.175625	−	0.0349340i	−0.00738860	−	0.00146968i
$566$	−6.30187	+	37.3256i	−0.264887	+	1.56891i
$567$	16.3256	−	12.0470i	0.685611	−	0.505925i
$568$	6.60336	+	12.6846i	0.277071	+	0.532236i
$569$	0.691524	−	1.66949i	0.0289902	−	0.0699885i	−0.908721	−	0.417403i	$-0.862940\pi$
$569$	0.691524	−	1.66949i	0.0289902	−	0.0699885i	0.937712	+	0.347415i	$0.112940\pi$
$570$	−0.357038	+	3.33974i	−0.0149547	+	0.139886i
$571$	−0.641074	−	0.959434i	−0.0268281	−	0.0401511i	0.817813	−	0.575484i	$-0.195186\pi$
$571$	−0.641074	−	0.959434i	−0.0268281	−	0.0401511i	−0.844641	+	0.535333i	$0.820186\pi$
$572$	−18.0595	+	20.2935i	−0.755104	+	0.848514i
$573$	2.75063	+	3.61974i	0.114909	+	0.151217i
$574$	−18.8395	−	17.7740i	−0.786345	−	0.741874i
$575$	28.0684			1.17053
$576$	−23.8880	−	2.31563i	−0.995334	−	0.0964845i
$577$	0.766924			0.0319275			0.0159637	−	0.999873i	$-0.494918\pi$
$577$	0.766924			0.0319275			0.0159637	+	0.999873i	$0.494918\pi$
$578$	9.85325	+	9.29601i	0.409841	+	0.386663i
$579$	5.19723	+	6.83939i	0.215990	+	0.284236i
$580$	−2.61797	−	2.32976i	−0.108705	−	0.0967381i
$581$	−16.3431	−	24.4592i	−0.678026	−	1.01474i
$582$	−4.51380	+	42.2222i	−0.187103	+	1.75017i
$583$	−6.56923	+	15.8595i	−0.272070	+	0.656835i
$584$	9.72150	+	3.06507i	0.402278	+	0.126834i
$585$	−6.28858	−	1.74845i	−0.260001	−	0.0722896i
$586$	−1.56711	+	9.28190i	−0.0647367	+	0.383432i
$587$	−23.1849	−	4.61175i	−0.956941	−	0.190347i	−0.308170	−	0.951331i	$-0.599717\pi$
$587$	−23.1849	−	4.61175i	−0.956941	−	0.190347i	−0.648771	+	0.760984i	$0.724717\pi$
$588$	6.62369	+	0.513763i	0.273156	+	0.0211872i
$589$	−17.0549	−	11.3957i	−0.702735	−	0.469552i
$590$	−1.42318	+	0.638614i	−0.0585915	+	0.0262913i
$591$	−10.9334	+	31.7188i	−0.449739	+	1.30474i
$592$	−6.66056	−	7.82132i	−0.273747	−	0.321454i
$593$	20.6292	+	20.6292i	0.847139	+	0.847139i	0.989775	−	0.142636i	$-0.0455580\pi$
$593$	20.6292	+	20.6292i	0.847139	+	0.847139i	−0.142636	+	0.989775i	$0.545558\pi$
$594$	−8.02243	+	12.4056i	−0.329164	+	0.509007i
$595$	1.64441	+	1.09876i	0.0674142	+	0.0450447i
$596$	−0.475454	+	3.41927i	−0.0194754	+	0.140059i
$597$	−35.2308	+	9.26306i	−1.44190	+	0.379112i
$598$	−31.7421	−	44.6377i	−1.29803	−	1.82537i
$599$	−8.89924	−	21.4847i	−0.363613	−	0.877840i	−0.994766	−	0.102181i	$-0.967418\pi$
$599$	−8.89924	−	21.4847i	−0.363613	−	0.877840i	0.631153	−	0.775659i	$-0.282582\pi$
$600$	21.6917	+	10.2390i	0.885562	+	0.418005i
$601$	4.20520	−	10.1522i	0.171534	−	0.414119i	−0.814611	−	0.580008i	$-0.803049\pi$
$601$	4.20520	−	10.1522i	0.171534	−	0.414119i	0.986144	+	0.165889i	$0.0530494\pi$
$602$	−0.269934	−	1.17700i	−0.0110017	−	0.0479710i
$603$	2.24249	−	29.9090i	0.0913214	−	1.21799i
$604$	5.44352	+	11.2436i	0.221494	+	0.457495i
$605$	−0.437150	−	2.19770i	−0.0177727	−	0.0893493i
$606$	37.9945	−	19.9035i	1.54342	−	0.808525i
$607$	26.3541			1.06968			0.534839	−	0.844954i	$-0.320372\pi$
$607$	26.3541			1.06968			0.534839	+	0.844954i	$0.320372\pi$
$608$	−22.6935	+	8.07375i	−0.920342	+	0.327434i
$609$	9.30744	+	19.0991i	0.377156	+	0.773934i
$610$	0.0553170	+	1.90091i	0.00223972	+	0.0769658i
$611$	40.8943	−	8.13438i	1.65441	−	0.329082i
$612$	−8.85336	−	13.7399i	−0.357876	−	0.555403i
$613$	10.0384	+	15.0235i	0.405447	+	0.606794i	0.976863	−	0.213866i	$-0.0686057\pi$
$613$	10.0384	+	15.0235i	0.405447	+	0.606794i	−0.571416	+	0.820661i	$0.693606\pi$
$614$	−2.57273	−	11.2180i	−0.103827	−	0.452720i
$615$	0.275140	+	4.52302i	0.0110947	+	0.182386i
$616$	12.3069	−	3.58727i	0.495860	−	0.144535i
$617$	5.87613	−	2.43397i	0.236564	−	0.0979880i	−0.261252	−	0.965271i	$-0.584135\pi$
$617$	5.87613	−	2.43397i	0.236564	−	0.0979880i	0.497816	+	0.867283i	$0.334135\pi$
$618$	12.6158	+	6.87897i	0.507483	+	0.276713i
$619$	−20.4512	−	4.06799i	−0.822002	−	0.163506i	−0.233867	−	0.972269i	$-0.575138\pi$
$619$	−20.4512	−	4.06799i	−0.822002	−	0.163506i	−0.588136	+	0.808762i	$0.700138\pi$
$620$	2.47511	−	1.87081i	0.0994030	−	0.0751334i
$621$	−20.7642	−	21.3574i	−0.833239	−	0.857041i
$622$	−3.55943	+	9.35396i	−0.142720	+	0.375060i
$623$	−11.5673	+	11.5673i	−0.463434	+	0.463434i
$624$	−8.24758	−	46.0759i	−0.330168	−	1.84451i
$625$	−16.5853	−	16.5853i	−0.663413	−	0.663413i
$626$	−11.8635	+	5.32343i	−0.474162	+	0.212767i
$627$	−2.00429	+	14.6909i	−0.0800438	+	0.586700i
$628$	−1.27197	−	4.88887i	−0.0507571	−	0.195087i
$629$	1.36495	−	6.86207i	0.0544241	−	0.273609i
$630$	2.07606	+	2.27525i	0.0827121	+	0.0906480i
$631$	6.73460	+	16.2588i	0.268100	+	0.647251i	0.999394	−	0.0348118i	$-0.0110832\pi$
$631$	6.73460	+	16.2588i	0.268100	+	0.647251i	−0.731294	+	0.682063i	$0.761083\pi$
$632$	−3.53867	+	0.309627i	−0.140761	+	0.0123163i
$633$	2.11677	+	34.7975i	0.0841340	+	1.38308i
$634$	−12.6883	+	20.2400i	−0.503915	+	0.803835i
$635$	3.37944	−	2.25807i	0.134109	−	0.0896088i
$636$	−14.4819	−	25.7909i	−0.574245	−	1.02267i
$637$	2.52784	+	12.7083i	0.100157	+	0.503521i
$638$	−11.2528	−	10.6164i	−0.445501	−	0.420306i
$639$	−9.34624	+	11.9464i	−0.369732	+	0.472591i
$640$	−0.0265760	−	3.64328i	−0.00105051	−	0.144013i
$641$			28.1848i			1.11323i	0.830769	+	0.556617i	$0.187901\pi$
$641$			28.1848i			1.11323i	−0.830769	+	0.556617i	$0.812099\pi$
$642$	−7.81172	+	25.0005i	−0.308304	+	0.986691i
$643$	19.4913	−	3.87706i	0.768661	−	0.152896i	0.204843	−	0.978795i	$-0.434332\pi$
$643$	19.4913	−	3.87706i	0.768661	−	0.152896i	0.563819	+	0.825899i	$0.309332\pi$
$644$	1.50301	+	25.8029i	0.0592271	+	1.01678i
$645$	−0.106490	+	0.182463i	−0.00419305	+	0.00718448i
$646$	−13.8991	−	8.71321i	−0.546854	−	0.342817i
$647$	6.99175	+	2.89608i	0.274874	+	0.113856i	0.515862	−	0.856671i	$-0.327472\pi$
$647$	6.99175	+	2.89608i	0.274874	+	0.113856i	−0.240988	+	0.970528i	$0.577472\pi$
$648$	−8.25603	−	24.0798i	−0.324327	−	0.945945i
$649$	−6.36188	+	2.63518i	−0.249726	+	0.103440i
$650$	−7.78831	+	46.1297i	−0.305483	+	1.80936i
$651$	−18.1914	+	4.78297i	−0.712978	+	0.187460i
$652$	−3.83591	+	0.998015i	−0.150226	+	0.0390853i
$653$	−8.08356	+	12.0979i	−0.316334	+	0.473428i	−0.955229	−	0.295866i	$-0.904392\pi$
$653$	−8.08356	+	12.0979i	−0.316334	+	0.473428i	0.638895	+	0.769294i	$0.279392\pi$
$654$	26.1596	−	31.3398i	1.02292	−	1.22548i
$655$	3.66539	−	3.66539i	0.143219	−	0.143219i
$656$	−28.3756	+	15.8374i	−1.10788	+	0.618346i
$657$	1.31051	+	10.7318i	0.0511278	+	0.418689i
$658$	−18.3891	−	6.99756i	−0.716883	−	0.272793i
$659$	17.4476	−	26.1122i	0.679662	−	1.01719i	−0.317949	−	0.948108i	$-0.602994\pi$
$659$	17.4476	−	26.1122i	0.679662	−	1.01719i	0.997611	−	0.0690788i	$-0.0220060\pi$
$660$	−1.99944	−	1.01592i	−0.0778280	−	0.0395446i
$661$	−9.56822	+	48.1027i	−0.372161	+	1.87098i	0.108537	+	0.994092i	$0.465383\pi$
$661$	−9.56822	+	48.1027i	−0.372161	+	1.87098i	−0.480698	+	0.876886i	$0.659617\pi$
$662$	25.4218	+	35.7497i	0.988047	+	1.38945i
$663$	21.1315	−	23.8689i	0.820678	−	0.926990i
$664$	−35.4331	+	10.3282i	−1.37507	+	0.400811i
$665$	2.85591	+	1.18296i	0.110747	+	0.0458730i
$666$	4.62580	−	9.86560i	0.179246	−	0.382284i
$667$	25.9355	−	17.3295i	1.00423	−	0.671003i
$668$	16.1074	+	5.59856i	0.623213	+	0.216615i
$669$	26.5159	+	34.8942i	1.02517	+	1.34909i
$670$	4.55122	−	0.132441i	0.175829	−	0.00511665i
$671$			8.39500i			0.324085i
$672$	−8.25103	+	20.4892i	−0.318290	+	0.790389i
$673$		−	15.6745i		−	0.604209i	−0.953275	−	0.302104i	$-0.902311\pi$
$673$		−	15.6745i		−	0.604209i	0.953275	−	0.302104i	$-0.0976891\pi$
$674$	−1.13543	−	39.0180i	−0.0437352	−	1.50292i
$675$	−0.358237	+	25.4394i	−0.0137885	+	0.979162i
$676$	58.7670	−	28.4517i	2.26027	−	1.09430i
$677$	−30.4472	+	20.3442i	−1.17018	+	0.781889i	−0.979831	−	0.199827i	$-0.935962\pi$
$677$	−30.4472	+	20.3442i	−1.17018	+	0.781889i	−0.190349	+	0.981716i	$0.560962\pi$
$678$	1.06003	−	0.855272i	0.0407102	−	0.0328465i
$679$	36.1054	+	14.9553i	1.38560	+	0.573933i
$680$	1.93513	−	1.55314i	0.0742090	−	0.0595602i
$681$	−38.0599	−	33.6950i	−1.45846	−	1.29119i
$682$	11.1618	−	7.93722i	0.427408	−	0.303932i
$683$	3.40112	−	17.0986i	0.130140	−	0.654259i	−0.859552	−	0.511048i	$-0.829257\pi$
$683$	3.40112	−	17.0986i	0.130140	−	0.654259i	0.989692	−	0.143211i	$-0.0457427\pi$
$684$	−17.7618	−	18.3635i	−0.679141	−	0.702146i
$685$	−3.83949	+	5.74621i	−0.146700	+	0.219551i
$686$	10.1116	−	26.5726i	0.386062	−	1.01455i
$687$	1.86888	−	5.42180i	0.0713022	−	0.206855i
$688$	−1.51021	−	0.121047i	−0.0575763	−	0.00461489i
$689$	40.7919	−	40.7919i	1.55405	−	1.55405i
$690$	2.89769	−	3.47150i	0.110313	−	0.132158i
$691$	−12.1543	+	18.1901i	−0.462370	+	0.691985i	−0.987248	−	0.159193i	$-0.949111\pi$
$691$	−12.1543	+	18.1901i	−0.462370	+	0.691985i	0.524878	+	0.851177i	$0.324111\pi$
$692$	−9.26887	+	15.7881i	−0.352350	+	0.600174i
$693$	8.86857	+	10.3062i	0.336889	+	0.391502i
$694$	45.4512	+	7.67374i	1.72530	+	0.291291i
$695$	3.51501	−	1.45597i	0.133332	−	0.0552279i
$696$	26.3650	−	3.93162i	0.999362	−	0.149028i
$697$	−20.4469	−	8.46937i	−0.774481	−	0.320800i
$698$	3.95423	−	6.30771i	0.149670	−	0.238750i
$699$	−37.3909	−	21.8223i	−1.41426	−	0.825396i
$700$	14.6760	−	16.4915i	0.554700	−	0.623319i
$701$	−24.9143	+	4.95577i	−0.941001	+	0.187177i	−0.641677	−	0.766975i	$-0.721761\pi$
$701$	−24.9143	+	4.95577i	−0.941001	+	0.187177i	−0.299324	+	0.954152i	$0.596761\pi$
$702$	40.8618	−	28.1993i	1.54223	−	1.06431i
$703$		−	10.9357i		−	0.412448i
$704$	0.350551	−	16.0796i	0.0132119	−	0.606022i
$705$	1.50797	+	3.09440i	0.0567936	+	0.116542i
$706$	−2.40284	+	2.54688i	−0.0904320	+	0.0958529i
$707$	−7.70125	−	38.7168i	−0.289635	−	1.45610i
$708$	3.20777	−	11.4233i	0.120555	−	0.429314i
$709$	20.7869	−	13.8894i	0.780669	−	0.521626i	−0.100211	−	0.994966i	$-0.531952\pi$
$709$	20.7869	−	13.8894i	0.780669	−	0.521626i	0.880880	+	0.473340i	$0.156952\pi$
$710$	−1.95095	−	1.22303i	−0.0732179	−	0.0458995i
$711$	−1.85312	−	3.28043i	−0.0694974	−	0.123026i
$712$	9.47723	+	18.2052i	0.355174	+	0.682267i
$713$	10.5679	+	25.5131i	0.395769	+	0.955472i
$714$	−14.4313	+	4.24680i	−0.540078	+	0.158932i
$715$	0.853343	−	4.29005i	0.0319132	−	0.160439i
$716$	−2.51964	+	4.29183i	−0.0941635	+	0.160393i
$717$	24.7930	+	3.38252i	0.925911	+	0.126322i
$718$	16.4020	+	36.5526i	0.612116	+	1.36413i
$719$	−13.1645	−	13.1645i	−0.490955	−	0.490955i	0.417652	−	0.908607i	$-0.362853\pi$
$719$	−13.1645	−	13.1645i	−0.490955	−	0.490955i	−0.908607	+	0.417652i	$0.862853\pi$
$720$	3.50574	−	1.62579i	0.130651	−	0.0605896i
$721$	9.35130	−	9.35130i	0.348261	−	0.348261i
$722$	1.14915	+	0.437281i	0.0427668	+	0.0162739i
$723$	4.22366	−	30.9583i	0.157080	−	1.15135i
$724$	−0.525299	+	3.77773i	−0.0195226	+	0.140398i
$725$	−26.1300	−	5.19758i	−0.970443	−	0.193033i
$726$	14.9641	+	8.15938i	0.555369	+	0.302823i
$727$	11.5882	−	4.80000i	0.429783	−	0.178022i	−0.157296	−	0.987552i	$-0.550278\pi$
$727$	11.5882	−	4.80000i	0.429783	−	0.178022i	0.587079	+	0.809529i	$0.300278\pi$
$728$	−42.8235	−	4.68953i	−1.58715	−	0.173805i
$729$	19.6219	−	18.5467i	0.726737	−	0.686915i
$730$	−1.59974	+	0.366885i	−0.0592091	+	0.0135790i
$731$	−0.573255	−	0.857937i	−0.0212026	−	0.0317320i
$732$	−11.3699	−	8.94245i	−0.420242	−	0.330523i
$733$	−21.4455	+	4.26578i	−0.792109	+	0.157560i	−0.574531	−	0.818483i	$-0.694816\pi$
$733$	−21.4455	+	4.26578i	−0.792109	+	0.157560i	−0.217578	+	0.976043i	$0.569816\pi$
$734$	20.8320	−	0.606215i	0.768923	−	0.0223758i
$735$	−0.961615	+	0.468618i	−0.0354697	+	0.0172852i
$736$	31.4423	+	7.93614i	1.15898	+	0.292530i
$737$	20.0995			0.740375
$738$	−27.7529	−	20.4395i	−1.02160	−	0.752389i
$739$	0.815466	+	4.09963i	0.0299974	+	0.150807i	0.992881	−	0.119109i	$-0.0380039\pi$
$739$	0.815466	+	4.09963i	0.0299974	+	0.150807i	−0.962884	+	0.269916i	$0.913004\pi$
$740$	1.56244	+	0.543069i	0.0574364	+	0.0199636i
$741$	25.1160	−	43.0344i	0.922658	−	1.58091i
$742$	−26.5336	+	6.08521i	−0.974078	+	0.223395i
$743$	18.9980	−	45.8653i	0.696971	−	1.68264i	−0.0332705	−	0.999446i	$-0.510592\pi$
$743$	18.9980	−	45.8653i	0.696971	−	1.68264i	0.730241	−	0.683190i	$-0.239408\pi$
$744$	−1.13982	+	23.5719i	−0.0417879	+	0.864189i
$745$	−0.212716	−	0.513541i	−0.00779330	−	0.0188147i
$746$	28.1528	−	20.0196i	1.03075	−	0.732971i
$747$	−25.5336	−	29.6729i	−0.934227	−	1.08567i
$748$	8.73832	−	6.60483i	0.319505	−	0.241497i
$749$	20.0434	+	13.3926i	0.732371	+	0.489355i
$750$	−7.77484	+	0.700441i	−0.283897	+	0.0255765i
$751$	5.25394	+	5.25394i	0.191719	+	0.191719i	0.796439	−	0.604719i	$-0.206715\pi$
$751$	5.25394	+	5.25394i	0.191719	+	0.191719i	−0.604719	+	0.796439i	$0.706715\pi$
$752$	−15.3108	+	19.3641i	−0.558326	+	0.706137i
$753$	−17.1796	−	5.92176i	−0.626060	−	0.215801i
$754$	21.2842	+	47.4328i	0.775124	+	1.72740i
$755$	−1.67243	−	1.11748i	−0.0608659	−	0.0406693i
$756$	−23.4053	+	1.03291i	−0.851241	+	0.0375666i
$757$	44.0623	+	8.76455i	1.60147	+	0.318553i	0.913392	−	0.407081i	$-0.133453\pi$
$757$	44.0623	+	8.76455i	1.60147	+	0.318553i	0.688081	+	0.725634i	$0.258453\pi$
$758$	−1.60418	−	0.270841i	−0.0582664	−	0.00983741i
$759$	13.2320	−	14.9461i	0.480291	−	0.542509i
$760$	2.49294	−	2.97103i	0.0904285	−	0.107771i
$761$	−1.54727	+	3.73543i	−0.0560884	+	0.135409i	−0.949440	−	0.313950i	$-0.898348\pi$
$761$	−1.54727	+	3.73543i	−0.0560884	+	0.135409i	0.893351	+	0.449359i	$0.148348\pi$
$762$	−3.28632	+	30.7403i	−0.119051	+	1.11360i
$763$	−20.8733	−	31.2391i	−0.755664	−	1.13093i
$764$	−0.305268	−	5.24068i	−0.0110442	−	0.189601i
$765$	2.34940	+	1.18614i	0.0849427	+	0.0428850i
$766$	−7.02159	+	7.44250i	−0.253700	+	0.268908i
$767$	23.1411			0.835576
$768$	21.4041	+	17.6029i	0.772355	+	0.635191i
$769$	−29.6799			−1.07029			−0.535143	−	0.844762i	$-0.679742\pi$
$769$	−29.6799			−1.07029			−0.535143	+	0.844762i	$0.679742\pi$
$770$	−1.41645	+	1.50136i	−0.0510453	+	0.0541052i
$771$	−16.8727	+	12.8215i	−0.607655	+	0.461755i
$772$	−0.576796	−	9.90212i	−0.0207593	−	0.356385i
$773$	18.6735	+	27.9468i	0.671638	+	1.00518i	0.998198	+	0.0600013i	$0.0191105\pi$
$773$	18.6735	+	27.9468i	0.671638	+	1.00518i	−0.326560	+	0.945176i	$0.605890\pi$
$774$	−0.546422	−	1.51121i	−0.0196407	−	0.0543192i
$775$	9.02618	−	21.7911i	0.324230	−	0.782761i
$776$	31.5167	−	37.5608i	1.13138	−	1.34835i
$777$	−7.50853	−	6.64741i	−0.269367	−	0.238474i
$778$	30.4681	+	5.14409i	1.09234	+	0.184424i
$779$	−33.9274	−	6.74859i	−1.21558	−	0.241793i
$780$	4.90128	+	5.72554i	0.175494	+	0.205007i
$781$	−8.45164	−	5.64720i	−0.302423	−	0.202073i
$782$	9.04167	+	20.1498i	0.323330	+	0.720556i
$783$	15.3753	+	23.7274i	0.549470	+	0.847948i
$784$	−6.01759	−	4.75797i	−0.214914	−	0.169927i
$785$	0.575155	+	0.575155i	0.0205282	+	0.0205282i
$786$	3.53783	+	39.2697i	0.126190	+	1.40070i
$787$	−24.4667	−	16.3481i	−0.872142	−	0.582747i	0.0369617	−	0.999317i	$-0.488232\pi$
$787$	−24.4667	−	16.3481i	−0.872142	−	0.582747i	−0.909104	+	0.416570i	$0.863232\pi$
$788$	30.9054	−	23.3598i	1.10096	−	0.832157i
$789$	5.30772	+	20.1872i	0.188960	+	0.718684i
$790$	0.466122	−	0.331462i	0.0165839	−	0.0117929i
$791$	−0.479709	−	1.15812i	−0.0170565	−	0.0411780i
$792$	15.6781	−	6.72373i	0.557096	−	0.238917i
$793$	10.7963	−	26.0645i	0.383387	−	0.925579i
$794$	4.78316	−	1.09697i	0.169748	−	0.0389300i
$795$	4.11333	+	2.40065i	0.145885	+	0.0851421i
$796$	39.7321	+	13.8100i	1.40827	+	0.489482i
$797$	−2.54838	−	12.8116i	−0.0902682	−	0.453809i	−0.999311	−	0.0371067i	$-0.988186\pi$
$797$	−2.54838	−	12.8116i	−0.0902682	−	0.453809i	0.909043	−	0.416702i	$-0.136814\pi$
$798$	−20.8281	+	10.9108i	−0.737306	+	0.386240i
$799$	−16.8123			−0.594777
$800$	−14.1966	−	23.7827i	−0.501925	−	0.840844i
$801$	−13.4138	+	17.1456i	−0.473955	+	0.605809i
$802$	7.05509	−	0.205304i	0.249124	−	0.00724955i
$803$	−7.10606	+	1.41348i	−0.250768	+	0.0498808i
$804$	−21.4102	+	27.2220i	−0.755081	+	0.960046i
$805$	−2.31213	−	3.46035i	−0.0814919	−	0.121961i
$806$	−44.8624	+	10.2887i	−1.58021	+	0.362406i
$807$	6.04841	−	0.367931i	0.212914	−	0.0129518i
$808$	−49.2332	−	5.39144i	−1.73202	−	0.189670i
$809$	−31.1624	+	12.9079i	−1.09561	+	0.453817i	−0.855960	−	0.517042i	$-0.827033\pi$
$809$	−31.1624	+	12.9079i	−1.09561	+	0.453817i	−0.239652	+	0.970859i	$0.577033\pi$
$810$	3.10935	+	2.67059i	0.109252	+	0.0938348i
$811$	7.73289	+	1.53817i	0.271539	+	0.0540124i	0.328981	−	0.944336i	$-0.393295\pi$
$811$	7.73289	+	1.53817i	0.271539	+	0.0540124i	−0.0574428	+	0.998349i	$0.518295\pi$
$812$	3.37885	−	24.2993i	0.118574	−	0.852737i
$813$	−33.8755	−	4.62165i	−1.18806	−	0.162088i
$814$	6.82462	+	2.59695i	0.239203	+	0.0910230i
$815$	0.451279	−	0.451279i	0.0158076	−	0.0158076i
$816$	−0.362836	+	18.8704i	−0.0127018	+	0.660596i
$817$	−1.14041	−	1.14041i	−0.0398978	−	0.0398978i
$818$	−8.44984	−	18.8309i	−0.295442	−	0.658406i
$819$	−14.2806	−	43.4038i	−0.499006	−	1.51665i
$820$	2.64905	−	4.51225i	0.0925088	−	0.157575i
$821$	5.50701	−	27.6856i	0.192196	−	0.966235i	−0.757446	−	0.652898i	$-0.773553\pi$
$821$	5.50701	−	27.6856i	0.192196	−	0.966235i	0.949642	−	0.313337i	$-0.101447\pi$
$822$	−14.8400	−	50.4287i	−0.517604	−	1.75890i
$823$	13.7474	+	33.1891i	0.479203	+	1.15690i	0.959983	+	0.280057i	$0.0903533\pi$
$823$	13.7474	+	33.1891i	0.479203	+	1.15690i	−0.480781	+	0.876841i	$0.659647\pi$
$824$	−7.66164	−	14.7175i	−0.266906	−	0.512709i
$825$	−17.0182	+	1.03524i	−0.592498	+	0.0360423i
$826$	−9.25225	−	5.80014i	−0.321927	−	0.201813i
$827$	22.5047	−	15.0372i	0.782566	−	0.522894i	−0.0989248	−	0.995095i	$-0.531540\pi$
$827$	22.5047	−	15.0372i	0.782566	−	0.522894i	0.881491	+	0.472201i	$0.156540\pi$
$828$	6.14754	+	33.8417i	0.213642	+	1.17608i
$829$	0.0634410	+	0.318939i	0.00220340	+	0.0110772i	0.981871	−	0.189549i	$-0.0607025\pi$
$829$	0.0634410	+	0.318939i	0.00220340	+	0.0110772i	−0.979668	+	0.200626i	$0.935702\pi$
$830$	4.07813	−	4.32259i	0.141554	−	0.150039i
$831$	4.69986	−	2.29035i	0.163036	−	0.0794515i
$832$	−21.7673	+	49.4725i	−0.754646	+	1.71515i
$833$		−	5.22459i		−	0.181021i
$834$	−8.63094	+	27.6223i	−0.298865	+	0.956482i
$835$	−2.69298	+	0.535667i	−0.0931944	+	0.0185375i
$836$	11.3817	−	12.7897i	0.393646	−	0.442342i
$837$	−23.2582	+	9.25239i	−0.803922	+	0.319809i
$838$	−0.155955	+	0.248775i	−0.00538736	+	0.00859380i
$839$	−29.1039	−	12.0552i	−1.00478	−	0.416192i	−0.181231	−	0.983441i	$-0.558008\pi$
$839$	−29.1039	−	12.0552i	−1.00478	−	0.416192i	−0.823547	+	0.567248i	$0.808008\pi$
$840$	−0.524562	−	3.51765i	−0.0180991	−	0.121370i
$841$	−0.560855	+	0.232314i	−0.0193398	+	0.00801082i
$842$	−7.89951	−	1.33371i	−0.272235	−	0.0459628i
$843$	−0.980169	−	3.72794i	−0.0337588	−	0.128397i
$844$	20.3803	−	34.7147i	0.701517	−	1.19493i
$845$	−5.84074	+	8.74129i	−0.200928	+	0.300710i
$846$	−25.4197	−	6.27709i	−0.873947	−	0.215811i
$847$	11.0919	−	11.0919i	0.381122	−	0.381122i
$848$	−2.72881	+	34.0453i	−0.0937079	+	1.16912i
$849$	43.8305	+	15.1083i	1.50426	+	0.518514i
$850$	6.70877	−	17.6302i	0.230109	−	0.604712i
$851$	−8.17956	+	12.2416i	−0.280392	+	0.419636i
$852$	16.6511	−	5.43110i	0.570458	−	0.186066i
$853$	7.74261	−	38.9247i	0.265102	−	1.33276i	−0.587088	−	0.809523i	$-0.699726\pi$
$853$	7.74261	−	38.9247i	0.265102	−	1.33276i	0.852189	−	0.523233i	$-0.175274\pi$
$854$	−10.8494	+	7.71509i	−0.371260	+	0.264005i
$855$	3.96330	+	1.10194i	0.135542	+	0.0376856i
$856$	23.5870	−	18.9310i	0.806189	−	0.647047i
$857$	−39.6850	−	16.4381i	−1.35561	−	0.561513i	−0.417764	−	0.908556i	$-0.637186\pi$
$857$	−39.6850	−	16.4381i	−1.35561	−	0.561513i	−0.937850	+	0.347042i	$0.887186\pi$
$858$	20.8920	+	25.8936i	0.713240	+	0.883994i
$859$	−7.54133	+	5.03896i	−0.257307	+	0.171927i	−0.677533	−	0.735493i	$-0.736951\pi$
$859$	−7.54133	+	5.03896i	−0.257307	+	0.171927i	0.420226	+	0.907420i	$0.361951\pi$
$860$	0.219568	−	0.106303i	0.00748722	−	0.00362490i
$861$	−25.2569	+	19.1926i	−0.860751	+	0.654082i
$862$	0.0970176	+	3.33391i	0.00330443	+	0.113554i
$863$			34.8061i			1.18481i	0.805639	+	0.592407i	$0.201822\pi$
$863$			34.8061i			1.18481i	−0.805639	+	0.592407i	$0.798178\pi$
$864$	−7.59409	+	28.3959i	−0.258356	+	0.966050i
$865$		−	2.94785i		−	0.100230i
$866$	−4.58618	+	0.133459i	−0.155845	+	0.00453512i
$867$	13.2096	−	10.0379i	0.448622	−	0.340906i
$868$	20.5156	+	7.13078i	0.696346	+	0.242034i
$869$	2.09935	−	1.40274i	0.0712156	−	0.0475848i
$870$	−3.34041	+	2.69517i	−0.113251	+	0.0913749i
$871$	−62.4043	−	25.8487i	−2.11449	−	0.875850i
$872$	−45.2549	+	13.1911i	−1.53252	+	0.446706i
$873$	50.1054	+	13.9311i	1.69581	+	0.471497i
$874$	20.0051	+	28.1324i	0.676682	+	0.951592i
$875$	−1.40162	+	7.04643i	−0.0473835	+	0.238213i
$876$	5.65509	−	11.1298i	0.191068	−	0.376042i
$877$	−0.695873	+	1.04145i	−0.0234980	+	0.0351672i	−0.843033	−	0.537862i	$-0.819232\pi$
$877$	−0.695873	+	1.04145i	−0.0234980	+	0.0351672i	0.819535	+	0.573030i	$0.194232\pi$
$878$	25.4531	+	9.68558i	0.859000	+	0.326872i
$879$	10.8995	+	3.75703i	0.367631	+	0.126721i
$880$	1.26211	+	2.26131i	0.0425459	+	0.0762287i
$881$	−4.58573	+	4.58573i	−0.154497	+	0.154497i	−0.780123	−	0.625626i	$-0.784844\pi$
$881$	−4.58573	+	4.58573i	−0.154497	+	0.154497i	0.625626	+	0.780123i	$0.284844\pi$
$882$	1.95067	−	7.89942i	0.0656824	−	0.265987i
$883$	−16.7300	+	25.0382i	−0.563009	+	0.842603i	−0.998336	−	0.0576696i	$-0.981633\pi$
$883$	−16.7300	+	25.0382i	−0.563009	+	0.842603i	0.435326	+	0.900273i	$0.356633\pi$
$884$	−35.6245	+	9.26867i	−1.19818	+	0.311739i
$885$	0.485800	+	1.84768i	0.0163300	+	0.0621090i
$886$	−4.03492	+	23.8986i	−0.135556	+	0.802889i
$887$	−10.8060	+	4.47599i	−0.362830	+	0.150289i	−0.556648	−	0.830748i	$-0.687913\pi$
$887$	−10.8060	+	4.47599i	−0.362830	+	0.150289i	0.193818	+	0.981037i	$0.437913\pi$
$888$	−10.7869	+	6.47670i	−0.361984	+	0.217344i
$889$	26.2869	+	10.8884i	0.881635	+	0.365185i
$890$	−2.80003	−	1.75531i	−0.0938571	−	0.0588380i
$891$	13.3773	+	12.1834i	0.448156	+	0.408158i
$892$	−2.94278	−	50.5200i	−0.0985314	−	1.69153i
$893$	−25.7731	+	5.12659i	−0.862465	+	0.171555i
$894$	4.03560	+	1.26098i	0.134971	+	0.0421733i
$895$		−	0.801342i		−	0.0267859i
$896$	21.1029	−	14.3243i	0.704998	−	0.478540i
$897$	−60.3036	+	29.3874i	−2.01348	+	0.981215i
$898$	21.0988	+	19.9056i	0.704078	+	0.664259i
$899$	−5.11364	−	25.7080i	−0.170549	−	0.857410i
$900$	16.7259	−	24.1515i	0.557531	−	0.805052i
$901$	−19.3408	+	12.9231i	−0.644335	+	0.430531i
$902$	12.2685	−	19.5704i	0.408496	−	0.651623i
$903$	−1.47622	+	0.0898001i	−0.0491256	+	0.00298836i
$904$	−1.56676	+	0.137089i	−0.0521097	+	0.00455951i
$905$	−0.235016	−	0.567379i	−0.00781219	−	0.0188603i
$906$	14.6772	−	4.31916i	0.487617	−	0.143494i
$907$	−1.51347	+	7.60872i	−0.0502539	+	0.252643i	−0.997743	−	0.0671438i	$-0.978611\pi$
$907$	−1.51347	+	7.60872i	−0.0502539	+	0.252643i	0.947489	+	0.319787i	$0.103611\pi$
$908$	14.7793	+	56.8048i	0.490468	+	1.88513i
$909$	−16.4181	−	49.9003i	−0.544554	−	1.65509i
$910$	6.32855	−	2.83976i	0.209789	−	0.0941372i
$911$	6.52277	+	6.52277i	0.216109	+	0.216109i	0.806856	−	0.590748i	$-0.201167\pi$
$911$	6.52277	+	6.52277i	0.216109	+	0.216109i	−0.590748	+	0.806856i	$0.701167\pi$
$912$	5.19794	+	29.0388i	0.172121	+	0.961569i
$913$	18.5500	−	18.5500i	0.613916	−	0.613916i
$914$	−6.63359	+	17.4327i	−0.219420	+	0.576621i
$915$	2.30774	+	0.314847i	0.0762916	+	0.0104085i
$916$	−5.28278	+	3.99297i	−0.174548	+	0.131931i
$917$	35.5906	+	7.07941i	1.17530	+	0.233783i
$918$	−18.3779	+	7.93760i	−0.606560	+	0.261980i
$919$	10.9780	−	4.54724i	0.362131	−	0.150000i	−0.194197	−	0.980963i	$-0.562210\pi$
$919$	10.9780	−	4.54724i	0.362131	−	0.150000i	0.556328	+	0.830963i	$0.312210\pi$
$920$	−5.01287	+	1.46117i	−0.165270	+	0.0481734i
$921$	−14.0698	+	0.855882i	−0.463617	+	0.0282023i
$922$	−7.63735	−	33.3014i	−0.251523	−	1.09672i
$923$	18.9779	+	28.4024i	0.624664	+	0.934876i
$924$	−1.86297	−	15.5892i	−0.0612873	−	0.512847i
$925$	12.3334	−	2.45326i	0.405519	−	0.0806628i
$926$	0.765726	+	26.3134i	0.0251633	+	0.864713i
$927$	10.8441	−	13.8609i	0.356167	−	0.455252i
$928$	−27.8013	−	13.2104i	−0.912622	−	0.433652i
$929$	−15.8633			−0.520459			−0.260229	−	0.965547i	$-0.583798\pi$
$929$	−15.8633			−0.520459			−0.260229	+	0.965547i	$0.583798\pi$
$930$	−1.76329	−	3.36600i	−0.0578206	−	0.110376i
$931$	−1.59314	−	8.00925i	−0.0522130	−	0.262493i
$932$	21.7839	+	44.9947i	0.713557	+	1.47385i
$933$	10.5865	+	6.17856i	0.346587	+	0.202277i
$934$	5.31135	+	23.1593i	0.173793	+	0.757795i
$935$	−0.674942	+	1.62945i	−0.0220730	+	0.0532889i
$936$	−57.3237	+	0.713073i	−1.87368	+	0.0233075i
$937$	−8.26154	−	19.9451i	−0.269893	−	0.651578i	0.729585	−	0.683890i	$-0.239713\pi$
$937$	−8.26154	−	19.9451i	−0.269893	−	0.651578i	−0.999478	+	0.0323115i	$0.989713\pi$
$938$	18.4717	+	25.9760i	0.603121	+	0.848146i
$939$	4.04959	+	15.4021i	0.132153	+	0.502628i
$940$	0.547435	−	3.93692i	0.0178554	−	0.128408i
$941$	25.0573	+	16.7427i	0.816844	+	0.545798i	0.892348	−	0.451348i	$-0.149057\pi$
$941$	25.0573	+	16.7427i	0.816844	+	0.545798i	−0.0755042	+	0.997145i	$0.524057\pi$
$942$	−6.16200	+	0.555139i	−0.200769	+	0.0180874i
$943$	32.9311	+	32.9311i	1.07239	+	1.07239i
$944$	−10.4309	+	8.88285i	−0.339497	+	0.289112i
$945$	3.16574	−	2.05140i	0.102982	−	0.0667320i
$946$	0.982508	−	0.440874i	0.0319441	−	0.0143340i
$947$	4.57301	+	3.05559i	0.148603	+	0.0992932i	0.627649	−	0.778497i	$-0.284017\pi$
$947$	4.57301	+	3.05559i	0.148603	+	0.0992932i	−0.479046	+	0.877790i	$0.659017\pi$
$948$	−0.336435	+	4.33750i	−0.0109269	+	0.140875i
$949$	23.8805	+	4.75012i	0.775193	+	0.154195i
$950$	4.90849	−	29.0727i	0.159252	−	0.943243i
$951$	21.9059	+	19.3936i	0.710346	+	0.628879i
$952$	16.5665	+	5.22322i	0.536923	+	0.169286i
$953$	13.6825	−	33.0324i	0.443219	−	1.07002i	−0.531594	−	0.846999i	$-0.678407\pi$
$953$	13.6825	−	33.0324i	0.443219	−	1.07002i	0.974813	−	0.223025i	$-0.0715932\pi$
$954$	−34.0676	+	12.3182i	−1.10298	+	0.398816i
$955$	0.469603	+	0.702811i	0.0151960	+	0.0227424i
$956$	−21.5844	−	19.2083i	−0.698090	−	0.621239i
$957$	−15.0858	+	11.4637i	−0.487656	+	0.370568i
$958$	−16.3127	−	15.3901i	−0.527038	−	0.497232i
$959$	−48.3794			−1.56225
$960$	−4.40705	−	0.699414i	−0.142237	−	0.0225735i
$961$	−7.79435			−0.251431
$962$	−17.8491	−	16.8396i	−0.575478	−	0.542932i
$963$	28.6365	+	14.4577i	0.922797	+	0.465893i
$964$	−23.9848	+	26.9519i	−0.772499	+	0.868061i
$965$	0.887302	+	1.32794i	0.0285633	+	0.0427479i
$966$	31.4762	+	3.36499i	1.01273	+	0.108267i
$967$	10.5593	−	25.4923i	0.339563	−	0.819778i	−0.658194	−	0.752848i	$-0.728679\pi$
$967$	10.5593	−	25.4923i	0.339563	−	0.819778i	0.997758	−	0.0669303i	$-0.0213205\pi$
$968$	−9.08772	−	17.4569i	−0.292090	−	0.561087i
$969$	−13.3178	+	15.0431i	−0.427831	+	0.483253i
$970$	−1.31433	+	7.78472i	−0.0422007	+	0.249952i
$971$	47.0785	+	9.36449i	1.51082	+	0.300521i	0.879837	−	0.475276i	$-0.157652\pi$
$971$	47.0785	+	9.36449i	1.51082	+	0.300521i	0.630983	+	0.775797i	$0.282652\pi$
$972$	−30.7503	+	5.13980i	−0.986317	+	0.164859i
$973$	22.1454	+	14.7971i	0.709949	+	0.474373i
$974$	−15.1066	+	6.77867i	−0.484047	+	0.217203i
$975$	54.1690	+	18.6719i	1.73480	+	0.597979i
$976$	5.13858	+	15.8929i	0.164482	+	0.508718i
$977$	8.67683	+	8.67683i	0.277596	+	0.277596i	0.832149	−	0.554552i	$-0.187111\pi$
$977$	8.67683	+	8.67683i	0.277596	+	0.277596i	−0.554552	+	0.832149i	$0.687111\pi$
$978$	0.435574	+	4.83484i	0.0139281	+	0.154601i
$979$	−12.1299	−	8.10493i	−0.387673	−	0.259035i
$980$	1.22344	+	0.170121i	0.0390813	+	0.00543431i
$981$	−32.6114	−	37.8980i	−1.04120	−	1.20999i
$982$	−15.9913	−	22.4879i	−0.510302	−	0.717618i
$983$	4.80123	+	11.5912i	0.153135	+	0.369701i	0.981766	−	0.190095i	$-0.0608795\pi$
$983$	4.80123	+	11.5912i	0.153135	+	0.369701i	−0.828630	+	0.559796i	$0.810879\pi$
$984$	13.4369	+	37.4626i	0.428352	+	1.19426i
$985$	−2.38711	+	5.76300i	−0.0760598	+	0.183625i
$986$	−4.68600	−	20.4325i	−0.149233	−	0.650704i
$987$	−12.1466	+	20.8123i	−0.386630	+	0.662462i
$988$	−51.7858	+	25.0718i	−1.64752	+	0.797640i
$989$	0.423599	+	2.12958i	0.0134697	+	0.0677166i
$990$	−1.62887	+	2.21168i	−0.0517688	+	0.0702919i
$991$	2.37327			0.0753895			0.0376947	−	0.999289i	$-0.487999\pi$
$991$	2.37327			0.0753895			0.0376947	+	0.999289i	$0.487999\pi$
$992$	16.2724	−	21.8584i	0.516650	−	0.694004i
$993$	48.2962	−	23.5359i	1.53263	−	0.746889i
$994$	−0.468876	−	16.1125i	−0.0148718	−	0.511056i
$995$	−6.64278	+	1.32133i	−0.210590	+	0.0418890i
$996$	5.36372	+	44.8831i	0.169956	+	1.42218i
$997$	−1.12832	−	1.68864i	−0.0357341	−	0.0534799i	0.813172	−	0.582023i	$-0.197739\pi$
$997$	−1.12832	−	1.68864i	−0.0357341	−	0.0534799i	−0.848907	+	0.528543i	$0.822739\pi$
$998$	5.03790	+	21.9669i	0.159472	+	0.695351i
$999$	−10.9906	−	7.56966i	−0.347726	−	0.239493i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.8	✓	240
3.2	odd	2	inner	192.2.s.a.107.23	yes	240
4.3	odd	2		768.2.s.a.335.9		240
12.11	even	2		768.2.s.a.335.12		240
64.3	odd	16	inner	192.2.s.a.131.23	yes	240
64.61	even	16		768.2.s.a.431.12		240
192.125	odd	16		768.2.s.a.431.9		240
192.131	even	16	inner	192.2.s.a.131.8	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.8	✓	240	1.1	even	1	trivial
192.2.s.a.107.23	yes	240	3.2	odd	2	inner
192.2.s.a.131.8	yes	240	192.131	even	16	inner
192.2.s.a.131.23	yes	240	64.3	odd	16	inner
768.2.s.a.335.9		240	4.3	odd	2
768.2.s.a.335.12		240	12.11	even	2
768.2.s.a.431.9		240	192.125	odd	16
768.2.s.a.431.12		240	64.61	even	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.970489 + 1.02866i) q^{2} +(1.04794 + 1.37906i) q^{3} +(-0.116302 - 1.99662i) q^{4} +(0.178911 + 0.267760i) q^{5} +(-2.43561 - 0.260381i) q^{6} +(-0.862708 + 2.08276i) q^{7} +(2.16672 + 1.81806i) q^{8} +(-0.803625 + 2.89036i) q^{9} +O(q^{10})\)	\(q+(-0.970489 + 1.02866i) q^{2} +(1.04794 + 1.37906i) q^{3} +(-0.116302 - 1.99662i) q^{4} +(0.178911 + 0.267760i) q^{5} +(-2.43561 - 0.260381i) q^{6} +(-0.862708 + 2.08276i) q^{7} +(2.16672 + 1.81806i) q^{8} +(-0.803625 + 2.89036i) q^{9} +(-0.449066 - 0.0758180i) q^{10} +(-1.97179 - 0.392214i) q^{11} +(2.63158 - 2.25273i) q^{12} +(5.61756 + 3.75354i) q^{13} +(-1.30521 - 2.90873i) q^{14} +(-0.181768 + 0.527327i) q^{15} +(-3.97295 + 0.464422i) q^{16} +(-1.92631 - 1.92631i) q^{17} +(-2.19330 - 3.63172i) q^{18} +(-3.54040 - 2.36562i) q^{19} +(0.513805 - 0.388358i) q^{20} +(-3.77633 + 0.992890i) q^{21} +(2.31706 - 1.64768i) q^{22} +(2.19377 + 5.29622i) q^{23} +(-0.236614 + 4.89326i) q^{24} +(1.87373 - 4.52359i) q^{25} +(-9.31291 + 2.13582i) q^{26} +(-4.82814 + 1.92069i) q^{27} +(4.25881 + 1.48027i) q^{28} +(-1.06153 - 5.33669i) q^{29} +(-0.366039 - 0.698743i) q^{30} +4.81722 q^{31} +(3.37797 - 4.53755i) q^{32} +(-1.52544 - 3.13025i) q^{33} +(3.85098 - 0.112064i) q^{34} +(-0.712027 + 0.141631i) q^{35} +(5.86440 + 1.26837i) q^{36} +(1.42685 + 2.13544i) q^{37} +(5.86935 - 1.34608i) q^{38} +(0.710535 + 11.6805i) q^{39} +(-0.0991520 + 0.905430i) q^{40} +(7.50562 - 3.10893i) q^{41} +(2.64353 - 4.84816i) q^{42} +(0.371486 + 0.0738932i) q^{43} +(-0.553777 + 3.98253i) q^{44} +(-0.917699 + 0.301940i) q^{45} +(-7.57706 - 2.88327i) q^{46} +(4.36387 - 4.36387i) q^{47} +(-4.80390 - 4.99225i) q^{48} +(1.35612 + 1.35612i) q^{49} +(2.83482 + 6.31753i) q^{50} +(0.637834 - 4.67516i) q^{51} +(6.84103 - 11.6527i) q^{52} +(1.66580 - 8.37454i) q^{53} +(2.70991 - 6.83055i) q^{54} +(-0.247757 - 0.598138i) q^{55} +(-5.65583 + 2.94430i) q^{56} +(-0.447806 - 7.36147i) q^{57} +(6.51987 + 4.08723i) q^{58} +(2.84793 - 1.90292i) q^{59} +(1.07401 + 0.301592i) q^{60} +(-0.814645 - 4.09550i) q^{61} +(-4.67506 + 4.95531i) q^{62} +(-5.32664 - 4.16730i) q^{63} +(1.38934 + 7.87844i) q^{64} +2.17571i q^{65} +(4.70040 + 1.46870i) q^{66} +(-9.80554 + 1.95044i) q^{67} +(-3.62206 + 4.07013i) q^{68} +(-5.00487 + 8.57548i) q^{69} +(0.545324 - 0.869889i) q^{70} +(4.67113 + 1.93485i) q^{71} +(-6.99607 + 4.80156i) q^{72} +(3.32953 - 1.37914i) q^{73} +(-3.58140 - 0.604665i) q^{74} +(8.20187 - 2.15648i) q^{75} +(-4.31148 + 7.34394i) q^{76} +(2.51797 - 3.76841i) q^{77} +(-12.7049 - 10.6049i) q^{78} +(-0.888047 + 0.888047i) q^{79} +(-0.835158 - 0.980704i) q^{80} +(-7.70837 - 4.64553i) q^{81} +(-4.08608 + 10.7379i) q^{82} +(-7.24954 + 10.8497i) q^{83} +(2.42162 + 7.42440i) q^{84} +(0.171149 - 0.860425i) q^{85} +(-0.436534 + 0.310422i) q^{86} +(6.24719 - 7.05647i) q^{87} +(-3.55926 - 4.43465i) q^{88} +(6.70406 + 2.77691i) q^{89} +(0.580022 - 1.23703i) q^{90} +(-12.6640 + 8.46184i) q^{91} +(10.3194 - 4.99607i) q^{92} +(5.04818 + 6.64325i) q^{93} +(0.253872 + 8.72405i) q^{94} -1.37121i q^{95} +(9.79748 - 0.0966708i) q^{96} -17.3353i q^{97} +(-2.71109 + 0.0788931i) q^{98} +(2.71822 - 5.38401i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

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