LMFDB - Embedded newform 462.2.w.a.29.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.7
Character	$\chi$	$=$	462.29
Dual form			462.2.w.a.239.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(0.261877 - 1.71214i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.43689 + 1.97771i) q^{5} +(-1.21823 + 1.23122i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86284 - 0.896741i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(0.261877 - 1.71214i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.43689 + 1.97771i) q^{5} +(-1.21823 + 1.23122i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86284 - 0.896741i) q^{9} -2.44458i q^{10} +(1.53536 + 2.93984i) q^{11} +(1.70927 - 0.280020i) q^{12} +(4.02784 - 5.54385i) q^{13} +(0.951057 + 0.309017i) q^{14} +(3.76240 - 1.94224i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.36689 - 0.993107i) q^{17} +(1.78900 + 2.40821i) q^{18} +(6.15014 + 1.99830i) q^{19} +(-1.43689 + 1.97771i) q^{20} +(0.280020 + 1.70927i) q^{21} +(0.485860 - 3.28084i) q^{22} -5.69092i q^{23} +(-1.54742 - 0.778140i) q^{24} +(-0.301591 + 0.928202i) q^{25} +(-6.51718 + 2.11756i) q^{26} +(-2.28506 + 4.66675i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(1.73027 + 5.32522i) q^{29} +(-4.18546 - 0.640180i) q^{30} +(-0.638022 - 0.463550i) q^{31} +1.00000 q^{32} +(5.43549 - 1.85888i) q^{33} -1.68957 q^{34} +(-1.97771 - 1.43689i) q^{35} +(-0.0318154 - 2.99983i) q^{36} +(2.12167 + 6.52982i) q^{37} +(-3.80100 - 5.23162i) q^{38} +(-8.43704 - 8.34803i) q^{39} +(2.32493 - 0.755417i) q^{40} +(2.79393 - 8.59884i) q^{41} +(0.778140 - 1.54742i) q^{42} -6.16717i q^{43} +(-2.32150 + 2.36868i) q^{44} +(-2.34009 - 6.95037i) q^{45} +(-3.34504 + 4.60405i) q^{46} +(-4.81667 - 1.56503i) q^{47} +(0.794507 + 1.53908i) q^{48} +(0.809017 - 0.587785i) q^{49} +(0.789576 - 0.573660i) q^{50} +(-1.34238 - 2.60039i) q^{51} +(6.51718 + 2.11756i) q^{52} +(0.765951 - 1.05424i) q^{53} +(4.59169 - 2.43235i) q^{54} +(-3.60800 + 7.26072i) q^{55} +1.00000i q^{56} +(5.03195 - 10.0066i) q^{57} +(1.73027 - 5.32522i) q^{58} +(-13.0119 + 4.22781i) q^{59} +(3.00982 + 2.97807i) q^{60} +(5.87948 + 8.09241i) q^{61} +(0.243703 + 0.750040i) q^{62} +(2.99983 - 0.0318154i) q^{63} +(-0.809017 - 0.587785i) q^{64} +16.7517 q^{65} +(-5.49003 - 1.69104i) q^{66} -1.03374 q^{67} +(1.36689 + 0.993107i) q^{68} +(-9.74364 - 1.49032i) q^{69} +(0.755417 + 2.32493i) q^{70} +(-4.46190 - 6.14128i) q^{71} +(-1.73752 + 2.44562i) q^{72} +(0.108422 - 0.0352283i) q^{73} +(2.12167 - 6.52982i) q^{74} +(1.51023 + 0.759441i) q^{75} +6.46664i q^{76} +(-2.36868 - 2.32150i) q^{77} +(1.91886 + 11.7129i) q^{78} +(-6.14287 + 8.45493i) q^{79} +(-2.32493 - 0.755417i) q^{80} +(7.39171 + 5.13445i) q^{81} +(-7.31461 + 5.31438i) q^{82} +(-2.09224 + 1.52010i) q^{83} +(-1.53908 + 0.794507i) q^{84} +(3.92815 + 1.27633i) q^{85} +(-3.62497 + 4.98935i) q^{86} +(9.57063 - 1.56791i) q^{87} +(3.27041 - 0.551756i) q^{88} +11.7971i q^{89} +(-2.19215 + 6.99844i) q^{90} +(-2.11756 + 6.51718i) q^{91} +(5.41238 - 1.75859i) q^{92} +(-0.960746 + 0.970989i) q^{93} +(2.97687 + 4.09731i) q^{94} +(4.88501 + 15.0345i) q^{95} +(0.261877 - 1.71214i) q^{96} +(0.828161 + 0.601694i) q^{97} -1.00000 q^{98} +(-1.75923 - 9.79312i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$3$	0.261877	−	1.71214i	0.151195	−	0.988504i
$3$	0.261877	−	1.71214i	0.151195	−	0.988504i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	1.43689	+	1.97771i	0.642596	+	0.884457i	0.998751	−	0.0499697i	$-0.0159125\pi$
$5$	1.43689	+	1.97771i	0.642596	+	0.884457i	−0.356155	+	0.934427i	$0.615912\pi$
$6$	−1.21823	+	1.23122i	−0.497342	+	0.502644i
$7$	−0.951057	+	0.309017i	−0.359466	+	0.116797i
$7$	−0.951057	+	0.309017i	−0.359466	+	0.116797i
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	−2.86284	−	0.896741i	−0.954280	−	0.298914i
$10$		−	2.44458i		−	0.773044i
$11$	1.53536	+	2.93984i	0.462929	+	0.886395i
$11$	1.53536	+	2.93984i	0.462929	+	0.886395i
$12$	1.70927	−	0.280020i	0.493422	−	0.0808348i
$13$	4.02784	−	5.54385i	1.11712	−	1.53759i	0.306638	−	0.951826i	$-0.400796\pi$
$13$	4.02784	−	5.54385i	1.11712	−	1.53759i	0.810484	−	0.585761i	$-0.199204\pi$
$14$	0.951057	+	0.309017i	0.254181	+	0.0825883i
$15$	3.76240	−	1.94224i	0.971447	−	0.501483i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	1.36689	−	0.993107i	0.331521	−	0.240864i	−0.409555	−	0.912285i	$-0.634316\pi$
$17$	1.36689	−	0.993107i	0.331521	−	0.240864i	0.741076	+	0.671422i	$0.234316\pi$
$18$	1.78900	+	2.40821i	0.421670	+	0.567621i
$19$	6.15014	+	1.99830i	1.41094	+	0.458442i	0.912712	−	0.408605i	$-0.133984\pi$
$19$	6.15014	+	1.99830i	1.41094	+	0.458442i	0.498227	+	0.867046i	$0.333984\pi$
$20$	−1.43689	+	1.97771i	−0.321298	+	0.442229i
$21$	0.280020	+	1.70927i	0.0611054	+	0.372992i
$22$	0.485860	−	3.28084i	0.103586	−	0.699478i
$23$		−	5.69092i		−	1.18664i	−0.804967	−	0.593319i	$-0.797817\pi$
$23$		−	5.69092i		−	1.18664i	0.804967	−	0.593319i	$-0.202183\pi$
$24$	−1.54742	−	0.778140i	−0.315865	−	0.158837i
$25$	−0.301591	+	0.928202i	−0.0603182	+	0.185640i
$26$	−6.51718	+	2.11756i	−1.27812	+	0.415288i
$27$	−2.28506	+	4.66675i	−0.439760	+	0.898116i
$28$	−0.587785	−	0.809017i	−0.111081	−	0.152890i
$29$	1.73027	+	5.32522i	0.321303	+	0.988868i	0.973082	+	0.230459i	$0.0740229\pi$
$29$	1.73027	+	5.32522i	0.321303	+	0.988868i	−0.651779	+	0.758409i	$0.725977\pi$
$30$	−4.18546	−	0.640180i	−0.764157	−	0.116880i
$31$	−0.638022	−	0.463550i	−0.114592	−	0.0832561i	0.529013	−	0.848614i	$-0.322562\pi$
$31$	−0.638022	−	0.463550i	−0.114592	−	0.0832561i	−0.643605	+	0.765358i	$0.722562\pi$
$32$	1.00000			0.176777
$33$	5.43549	−	1.85888i	0.946198	−	0.323589i
$34$	−1.68957			−0.289760
$35$	−1.97771	−	1.43689i	−0.334293	−	0.242878i
$36$	−0.0318154	−	2.99983i	−0.00530257	−	0.499972i
$37$	2.12167	+	6.52982i	0.348800	+	1.07350i	0.959518	+	0.281648i	$0.0908809\pi$
$37$	2.12167	+	6.52982i	0.348800	+	1.07350i	−0.610718	+	0.791848i	$0.709119\pi$
$38$	−3.80100	−	5.23162i	−0.616603	−	0.848681i
$39$	−8.43704	−	8.34803i	−1.35101	−	1.33675i
$40$	2.32493	−	0.755417i	0.367604	−	0.119442i
$41$	2.79393	−	8.59884i	0.436339	−	1.34291i	−0.455369	−	0.890303i	$-0.650493\pi$
$41$	2.79393	−	8.59884i	0.436339	−	1.34291i	0.891708	−	0.452611i	$-0.149507\pi$
$42$	0.778140	−	1.54742i	0.120070	−	0.238772i
$43$		−	6.16717i		−	0.940485i	−0.882537	−	0.470242i	$-0.844167\pi$
$43$		−	6.16717i		−	0.940485i	0.882537	−	0.470242i	$-0.155833\pi$
$44$	−2.32150	+	2.36868i	−0.349979	+	0.357092i
$45$	−2.34009	−	6.95037i	−0.348840	−	1.03610i
$46$	−3.34504	+	4.60405i	−0.493199	+	0.678830i
$47$	−4.81667	−	1.56503i	−0.702584	−	0.228283i	−0.0641278	−	0.997942i	$-0.520427\pi$
$47$	−4.81667	−	1.56503i	−0.702584	−	0.228283i	−0.638456	+	0.769658i	$0.720427\pi$
$48$	0.794507	+	1.53908i	0.114677	+	0.222147i
$49$	0.809017	−	0.587785i	0.115574	−	0.0839693i
$50$	0.789576	−	0.573660i	0.111663	−	0.0811278i
$51$	−1.34238	−	2.60039i	−0.187971	−	0.364127i
$52$	6.51718	+	2.11756i	0.903771	+	0.293653i
$53$	0.765951	−	1.05424i	0.105212	−	0.144811i	−0.753165	−	0.657832i	$-0.771474\pi$
$53$	0.765951	−	1.05424i	0.105212	−	0.144811i	0.858376	+	0.513021i	$0.171474\pi$
$54$	4.59169	−	2.43235i	0.624850	−	0.331001i
$55$	−3.60800	+	7.26072i	−0.486502	+	0.979035i
$56$			1.00000i			0.133631i
$57$	5.03195	−	10.0066i	0.666498	−	1.32540i
$58$	1.73027	−	5.32522i	0.227195	−	0.699235i
$59$	−13.0119	+	4.22781i	−1.69400	+	0.550414i	−0.987544	−	0.157343i	$-0.949707\pi$
$59$	−13.0119	+	4.22781i	−1.69400	+	0.550414i	−0.706456	+	0.707757i	$0.749707\pi$
$60$	3.00982	+	2.97807i	0.388566	+	0.384467i
$61$	5.87948	+	8.09241i	0.752790	+	1.03613i	0.997780	+	0.0666007i	$0.0212154\pi$
$61$	5.87948	+	8.09241i	0.752790	+	1.03613i	−0.244990	+	0.969526i	$0.578785\pi$
$62$	0.243703	+	0.750040i	0.0309503	+	0.0952552i
$63$	2.99983	−	0.0318154i	0.377943	−	0.00400837i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	16.7517			2.07779
$66$	−5.49003	−	1.69104i	−0.675776	−	0.208152i
$67$	−1.03374			−0.126292			−0.0631459	−	0.998004i	$-0.520113\pi$
$67$	−1.03374			−0.126292			−0.0631459	+	0.998004i	$0.520113\pi$
$68$	1.36689	+	0.993107i	0.165760	+	0.120432i
$69$	−9.74364	−	1.49032i	−1.17300	−	0.179414i
$70$	0.755417	+	2.32493i	0.0902896	+	0.277883i
$71$	−4.46190	−	6.14128i	−0.529531	−	0.728836i	0.457528	−	0.889195i	$-0.348735\pi$
$71$	−4.46190	−	6.14128i	−0.529531	−	0.728836i	−0.987059	+	0.160359i	$0.948735\pi$
$72$	−1.73752	+	2.44562i	−0.204768	+	0.288219i
$73$	0.108422	−	0.0352283i	0.0126898	−	0.00412316i	−0.302665	−	0.953097i	$-0.597876\pi$
$73$	0.108422	−	0.0352283i	0.0126898	−	0.00412316i	0.315355	+	0.948974i	$0.397876\pi$
$74$	2.12167	−	6.52982i	0.246639	−	0.759076i
$75$	1.51023	+	0.759441i	0.174386	+	0.0876927i
$76$			6.46664i			0.741774i
$77$	−2.36868	−	2.32150i	−0.269936	−	0.264560i
$78$	1.91886	+	11.7129i	0.217268	+	1.32622i
$79$	−6.14287	+	8.45493i	−0.691127	+	0.951254i	0.308873	+	0.951103i	$0.400048\pi$
$79$	−6.14287	+	8.45493i	−0.691127	+	0.951254i	−1.00000		0.000151201i	$0.999952\pi$
$80$	−2.32493	−	0.755417i	−0.259935	−	0.0844581i
$81$	7.39171	+	5.13445i	0.821301	+	0.570495i
$82$	−7.31461	+	5.31438i	−0.807764	+	0.586875i
$83$	−2.09224	+	1.52010i	−0.229653	+	0.166852i	−0.696661	−	0.717401i	$-0.745332\pi$
$83$	−2.09224	+	1.52010i	−0.229653	+	0.166852i	0.467008	+	0.884253i	$0.345332\pi$
$84$	−1.53908	+	0.794507i	−0.167927	+	0.0866878i
$85$	3.92815	+	1.27633i	0.426067	+	0.138438i
$86$	−3.62497	+	4.98935i	−0.390891	+	0.538015i
$87$	9.57063	−	1.56791i	1.02608	−	0.168097i
$88$	3.27041	−	0.551756i	0.348627	−	0.0588174i
$89$			11.7971i			1.25049i	0.780428	+	0.625245i	$0.215001\pi$
$89$			11.7971i			1.25049i	−0.780428	+	0.625245i	$0.784999\pi$
$90$	−2.19215	+	6.99844i	−0.231073	+	0.737701i
$91$	−2.11756	+	6.51718i	−0.221981	+	0.683187i
$92$	5.41238	−	1.75859i	0.564280	−	0.183346i
$93$	−0.960746	+	0.970989i	−0.0996247	+	0.100687i
$94$	2.97687	+	4.09731i	0.307040	+	0.422605i
$95$	4.88501	+	15.0345i	0.501191	+	1.54251i
$96$	0.261877	−	1.71214i	0.0267277	−	0.174744i
$97$	0.828161	+	0.601694i	0.0840870	+	0.0610928i	0.629034	−	0.777377i	$-0.283450\pi$
$97$	0.828161	+	0.601694i	0.0840870	+	0.0610928i	−0.544947	+	0.838470i	$0.683450\pi$
$98$	−1.00000			−0.101015
$99$	−1.75923	−	9.79312i	−0.176809	−	0.984245i
$100$	−0.975969			−0.0975969
$101$	10.4795	+	7.61383i	1.04275	+	0.757605i	0.970821	−	0.239805i	$-0.0770835\pi$
$101$	10.4795	+	7.61383i	1.04275	+	0.757605i	0.0719321	+	0.997410i	$0.477084\pi$
$102$	−0.442461	+	2.89279i	−0.0438102	+	0.286429i
$103$	0.879825	+	2.70782i	0.0866917	+	0.266810i	0.985000	−	0.172557i	$-0.0552029\pi$
$103$	0.879825	+	2.70782i	0.0866917	+	0.266810i	−0.898308	+	0.439367i	$0.855203\pi$
$104$	−4.02784	−	5.54385i	−0.394962	−	0.543619i
$105$	−2.97807	+	3.00982i	−0.290630	+	0.293728i
$106$	−1.23934	+	0.402684i	−0.120375	+	0.0391122i
$107$	−2.43057	+	7.48053i	−0.234972	+	0.723170i	0.762153	+	0.647397i	$0.224142\pi$
$107$	−2.43057	+	7.48053i	−0.234972	+	0.723170i	−0.997125	+	0.0757729i	$0.975858\pi$
$108$	−5.14446	−	0.731115i	−0.495026	−	0.0703516i
$109$		−	9.74860i		−	0.933747i	−0.884324	−	0.466873i	$-0.845380\pi$
$109$		−	9.74860i		−	0.933747i	0.884324	−	0.466873i	$-0.154620\pi$
$110$	7.18667	−	3.75332i	0.685222	−	0.357865i
$111$	11.7356	−	1.92258i	1.11389	−	0.182483i
$112$	0.587785	−	0.809017i	0.0555405	−	0.0764449i
$113$	−11.5838	−	3.76380i	−1.08971	−	0.354068i	−0.291576	−	0.956548i	$-0.594180\pi$
$113$	−11.5838	−	3.76380i	−1.08971	−	0.354068i	−0.798135	+	0.602479i	$0.794180\pi$
$114$	−9.95266	+	5.13779i	−0.932152	+	0.481198i
$115$	11.2550	−	8.17721i	1.04953	−	0.762529i
$116$	−4.52990	+	3.29117i	−0.420591	+	0.305577i
$117$	−16.5025	+	12.2592i	−1.52565	+	1.13337i
$118$	13.0119	+	4.22781i	1.19784	+	0.389201i
$119$	−0.993107	+	1.36689i	−0.0910380	+	0.125303i
$120$	−0.684531	−	4.17844i	−0.0624889	−	0.381437i
$121$	−6.28532	+	9.02744i	−0.571393	+	0.820677i
$122$		−	10.0028i		−	0.905608i
$123$	−13.9908	−	7.03545i	−1.26150	−	0.634365i
$124$	0.243703	−	0.750040i	0.0218852	−	0.0673556i
$125$	9.35560	−	3.03982i	0.836791	−	0.271890i
$126$	−2.44562	−	1.73752i	−0.217873	−	0.154790i
$127$	−4.60952	−	6.34446i	−0.409029	−	0.562980i	0.553953	−	0.832548i	$-0.313119\pi$
$127$	−4.60952	−	6.34446i	−0.409029	−	0.562980i	−0.962981	+	0.269569i	$0.913119\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	−10.5591	−	1.61504i	−0.929673	−	0.142196i
$130$	−13.5524	−	9.84638i	−1.18862	−	0.863585i
$131$	−17.0271			−1.48766			−0.743830	−	0.668369i	$-0.766993\pi$
$131$	−17.0271			−1.48766			−0.743830	+	0.668369i	$0.766993\pi$
$132$	3.44756	+	4.59504i	0.300071	+	0.399946i
$133$	−6.46664			−0.560729
$134$	0.836316	+	0.607619i	0.0722467	+	0.0524903i
$135$	−12.5128	+	2.18642i	−1.07693	+	0.188177i
$136$	−0.522107	−	1.60688i	−0.0447703	−	0.137789i
$137$	0.370586	+	0.510068i	0.0316613	+	0.0435781i	0.824554	−	0.565783i	$-0.191426\pi$
$137$	0.370586	+	0.510068i	0.0316613	+	0.0435781i	−0.792893	+	0.609361i	$0.791426\pi$
$138$	7.00678	+	6.93286i	0.596457	+	0.590165i
$139$	−1.18245	+	0.384201i	−0.100294	+	0.0325875i	−0.358734	−	0.933440i	$-0.616792\pi$
$139$	−1.18245	+	0.384201i	−0.100294	+	0.0325875i	0.258440	+	0.966027i	$0.416792\pi$
$140$	0.755417	−	2.32493i	0.0638444	−	0.196493i
$141$	−3.94093	+	7.83697i	−0.331886	+	0.659992i
$142$			7.59104i			0.637026i
$143$	22.4822	+	3.32939i	1.88006	+	0.278418i
$144$	2.84318	−	0.957257i	0.236931	−	0.0797714i
$145$	−8.04552	+	11.0737i	−0.668144	+	0.919621i
$146$	−0.108422	−	0.0352283i	−0.00897303	−	0.00291552i
$147$	−0.794507	−	1.53908i	−0.0655298	−	0.126941i
$148$	−5.55460	+	4.03565i	−0.456585	+	0.331728i
$149$	16.0997	−	11.6971i	1.31894	−	0.958268i	0.318997	−	0.947756i	$-0.396654\pi$
$149$	16.0997	−	11.6971i	1.31894	−	0.958268i	0.999945	−	0.0105120i	$-0.00334614\pi$
$150$	−0.775414	−	1.50209i	−0.0633123	−	0.122645i
$151$	5.95714	+	1.93559i	0.484785	+	0.157516i	0.541205	−	0.840891i	$-0.317968\pi$
$151$	5.95714	+	1.93559i	0.484785	+	0.157516i	−0.0564196	+	0.998407i	$0.517968\pi$
$152$	3.80100	−	5.23162i	0.308301	−	0.424341i
$153$	−4.80376	+	1.61736i	−0.388361	+	0.130756i
$154$	0.551756	+	3.27041i	0.0444618	+	0.263537i
$155$		−	1.92789i		−	0.154852i
$156$	5.33226	−	10.6038i	0.426923	−	0.848982i
$157$	−4.09345	+	12.5983i	−0.326693	+	1.00546i	0.643978	+	0.765044i	$0.277283\pi$
$157$	−4.09345	+	12.5983i	−0.326693	+	1.00546i	−0.970671	+	0.240413i	$0.922717\pi$
$158$	9.93937	−	3.22950i	0.790734	−	0.256925i
$159$	−1.60442	−	1.58750i	−0.127239	−	0.125897i
$160$	1.43689	+	1.97771i	0.113596	+	0.156351i
$161$	1.75859	+	5.41238i	0.138596	+	0.426556i
$162$	−2.96207	−	8.49860i	−0.232722	−	0.667713i
$163$	5.90734	+	4.29194i	0.462699	+	0.336170i	0.794589	−	0.607148i	$-0.207686\pi$
$163$	5.90734	+	4.29194i	0.462699	+	0.336170i	−0.331890	+	0.943318i	$0.607686\pi$
$164$	9.04136			0.706012
$165$	11.4865	+	8.07881i	0.894223	+	0.628934i
$166$	2.58614			0.200724
$167$	−10.4925	−	7.62322i	−0.811931	−	0.589903i	0.102459	−	0.994737i	$-0.467329\pi$
$167$	−10.4925	−	7.62322i	−0.811931	−	0.589903i	−0.914390	+	0.404835i	$0.867329\pi$
$168$	1.71214	+	0.261877i	0.132094	+	0.0202043i
$169$	−10.4935	−	32.2957i	−0.807194	−	2.48429i
$170$	−2.42773	−	3.34148i	−0.186198	−	0.256280i
$171$	−15.8149	−	11.2359i	−1.20940	−	0.859231i
$172$	5.86533	−	1.90576i	0.447227	−	0.145313i
$173$	−5.26759	+	16.2120i	−0.400488	+	1.23257i	0.524117	+	0.851646i	$0.324395\pi$
$173$	−5.26759	+	16.2120i	−0.400488	+	1.23257i	−0.924605	+	0.380928i	$0.875605\pi$
$174$	−8.66440	−	4.35701i	−0.656846	−	0.330304i
$175$		−	0.975969i		−	0.0737763i
$176$	−2.97013	−	1.47592i	−0.223882	−	0.111251i
$177$	3.83109	+	23.3853i	0.287962	+	1.75775i
$178$	6.93417	−	9.54406i	0.519738	−	0.715358i
$179$	−5.27534	−	1.71406i	−0.394297	−	0.128115i	0.105156	−	0.994456i	$-0.466466\pi$
$179$	−5.27534	−	1.71406i	−0.394297	−	0.128115i	−0.499453	+	0.866341i	$0.666466\pi$
$180$	5.88707	−	4.37334i	0.438796	−	0.325970i
$181$	−12.4538	+	9.04821i	−0.925684	+	0.672548i	−0.944932	−	0.327266i	$-0.893873\pi$
$181$	−12.4538	+	9.04821i	−0.925684	+	0.672548i	0.0192486	+	0.999815i	$0.493873\pi$
$182$	5.54385	−	4.02784i	0.410937	−	0.298563i
$183$	15.3950	−	7.94726i	1.13803	−	0.587479i
$184$	−5.41238	−	1.75859i	−0.399006	−	0.129645i
$185$	−9.86547	+	13.5787i	−0.725324	+	0.998323i
$186$	1.34799	−	0.220835i	0.0988396	−	0.0161924i
$187$	5.01825	+	2.49367i	0.366971	+	0.182355i
$188$		−	5.06455i		−	0.369370i
$189$	0.731115	−	5.14446i	0.0531808	−	0.374204i
$190$	4.88501	−	15.0345i	0.354396	−	1.09072i
$191$	10.5754	−	3.43614i	0.765206	−	0.248630i	0.0996944	−	0.995018i	$-0.468213\pi$
$191$	10.5754	−	3.43614i	0.765206	−	0.248630i	0.665511	+	0.746388i	$0.268213\pi$
$192$	−1.21823	+	1.23122i	−0.0879184	+	0.0888558i
$193$	−7.60485	−	10.4672i	−0.547409	−	0.753444i	0.442249	−	0.896892i	$-0.354181\pi$
$193$	−7.60485	−	10.4672i	−0.547409	−	0.753444i	−0.989658	+	0.143448i	$0.954181\pi$
$194$	−0.316329	−	0.973561i	−0.0227111	−	0.0698976i
$195$	4.38688	−	28.6812i	0.314151	−	2.05390i
$196$	0.809017	+	0.587785i	0.0577869	+	0.0419847i
$197$	15.6454			1.11469			0.557344	−	0.830282i	$-0.311820\pi$
$197$	15.6454			1.11469			0.557344	+	0.830282i	$0.311820\pi$
$198$	−4.33301	+	8.95684i	−0.307933	+	0.636535i
$199$	11.9147			0.844610			0.422305	−	0.906454i	$-0.361221\pi$
$199$	11.9147			0.844610			0.422305	+	0.906454i	$0.361221\pi$
$200$	0.789576	+	0.573660i	0.0558314	+	0.0405639i
$201$	−0.270714	+	1.76991i	−0.0190947	+	0.124840i
$202$	−4.00283	−	12.3194i	−0.281638	−	0.866793i
$203$	−3.29117	−	4.52990i	−0.230995	−	0.317937i
$204$	2.05830	−	2.08024i	0.144110	−	0.145646i
$205$	21.0206	−	6.82999i	1.46814	−	0.477027i
$206$	0.879825	−	2.70782i	0.0613003	−	0.188663i
$207$	−5.10328	+	16.2922i	−0.354702	+	1.13239i
$208$			6.85257i			0.475140i
$209$	3.56801	+	21.1485i	0.246804	+	1.46288i
$210$	4.17844	−	0.684531i	0.288339	−	0.0472371i
$211$	−4.81494	+	6.62720i	−0.331474	+	0.456235i	−0.941927	−	0.335817i	$-0.890987\pi$
$211$	−4.81494	+	6.62720i	−0.331474	+	0.456235i	0.610453	+	0.792053i	$0.290987\pi$
$212$	1.23934	+	0.402684i	0.0851179	+	0.0276565i
$213$	−11.6832	+	6.03114i	−0.800520	+	0.413247i
$214$	6.36332	−	4.62322i	0.434987	−	0.316037i
$215$	12.1969	−	8.86153i	0.831818	−	0.604351i
$216$	3.73222	+	3.61532i	0.253945	+	0.245992i
$217$	0.750040	+	0.243703i	0.0509160	+	0.0165436i
$218$	−5.73009	+	7.88679i	−0.388090	+	0.534161i
$219$	−0.0319226	−	0.194858i	−0.00215713	−	0.0131673i
$220$	−8.02029	−	1.18772i	−0.540728	−	0.0800763i
$221$		−	11.5779i		−	0.778816i
$222$	−10.6243	−	5.34260i	−0.713059	−	0.358572i
$223$	−3.07683	+	9.46952i	−0.206040	+	0.634126i	0.793629	+	0.608402i	$0.208189\pi$
$223$	−3.07683	+	9.46952i	−0.206040	+	0.634126i	−0.999669	+	0.0257240i	$0.991811\pi$
$224$	−0.951057	+	0.309017i	−0.0635451	+	0.0206471i
$225$	1.69576	−	2.38685i	0.113051	−	0.159123i
$226$	7.15917	+	9.85375i	0.476221	+	0.655462i
$227$	0.944859	+	2.90798i	0.0627125	+	0.193009i	0.977504	−	0.210917i	$-0.0676451\pi$
$227$	0.944859	+	2.90798i	0.0627125	+	0.193009i	−0.914791	+	0.403927i	$0.867645\pi$
$228$	11.0718	+	1.69347i	0.733247	+	0.112153i
$229$	−12.4393	−	9.03770i	−0.822013	−	0.597228i	0.0952751	−	0.995451i	$-0.469627\pi$
$229$	−12.4393	−	9.03770i	−0.822013	−	0.597228i	−0.917289	+	0.398223i	$0.869627\pi$
$230$	−13.9119			−0.917323
$231$	−4.59504	+	3.44756i	−0.302331	+	0.226833i
$232$	5.59927			0.367610
$233$	−17.7401	−	12.8889i	−1.16219	−	0.844381i	−0.172137	−	0.985073i	$-0.555067\pi$
$233$	−17.7401	−	12.8889i	−1.16219	−	0.844381i	−0.990053	+	0.140692i	$0.955067\pi$
$234$	20.5566	−	0.218018i	1.34382	−	0.0142523i
$235$	−3.82584	−	11.7747i	−0.249571	−	0.768099i
$236$	−8.04177	−	11.0685i	−0.523475	−	0.720501i
$237$	12.8673	+	12.7316i	0.835824	+	0.827006i
$238$	1.60688	−	0.522107i	0.104159	−	0.0338432i
$239$	0.523908	−	1.61242i	0.0338888	−	0.104299i	−0.932681	−	0.360702i	$-0.882537\pi$
$239$	0.523908	−	1.61242i	0.0338888	−	0.104299i	0.966570	+	0.256403i	$0.0825373\pi$
$240$	−1.90223	+	3.78278i	−0.122788	+	0.244178i
$241$		−	27.1182i		−	1.74684i	−0.486968	−	0.873420i	$-0.661897\pi$
$241$		−	27.1182i		−	1.74684i	0.486968	−	0.873420i	$-0.338103\pi$
$242$	10.3911	−	3.60894i	0.667967	−	0.231991i
$243$	10.7266	−	11.3110i	0.688113	−	0.725604i
$244$	−5.87948	+	8.09241i	−0.376395	+	0.518063i
$245$	2.32493	+	0.755417i	0.148535	+	0.0482618i
$246$	7.18342	+	13.9154i	0.457998	+	0.887210i
$247$	35.8501	−	26.0466i	2.28109	−	1.65731i
$248$	−0.638022	+	0.463550i	−0.0405144	+	0.0294355i
$249$	2.05471	+	3.98028i	0.130212	+	0.252240i
$250$	−9.35560	−	3.03982i	−0.591700	−	0.192255i
$251$	−13.7703	+	18.9533i	−0.869176	+	1.19632i	0.110126	+	0.993918i	$0.464874\pi$
$251$	−13.7703	+	18.9533i	−0.869176	+	1.19632i	−0.979303	+	0.202401i	$0.935126\pi$
$252$	0.957257	+	2.84318i	0.0603015	+	0.179103i
$253$	16.7304	−	8.73762i	1.05183	−	0.549330i
$254$			7.84218i			0.492062i
$255$	3.21395	−	6.39129i	0.201265	−	0.400238i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−11.2161	+	3.64432i	−0.699640	+	0.227327i	−0.637173	−	0.770720i	$-0.719897\pi$
$257$	−11.2161	+	3.64432i	−0.699640	+	0.227327i	−0.0624661	+	0.998047i	$0.519897\pi$
$258$	7.59316	+	7.51305i	0.472729	+	0.467742i
$259$	−4.03565	−	5.55460i	−0.250763	−	0.345146i
$260$	5.17655	+	15.9318i	0.321036	+	0.988047i
$261$	−0.178143	−	16.7969i	−0.0110268	−	1.03970i
$262$	13.7752	+	10.0083i	0.851033	+	0.618312i
$263$	−19.8086			−1.22145			−0.610726	−	0.791842i	$-0.709122\pi$
$263$	−19.8086			−1.22145			−0.610726	+	0.791842i	$0.709122\pi$
$264$	−0.0882381	−	5.74388i	−0.00543068	−	0.353512i
$265$	3.18557			0.195688
$266$	5.23162	+	3.80100i	0.320771	+	0.233054i
$267$	20.1983	+	3.08939i	1.23612	+	0.189068i
$268$	−0.319444	−	0.983149i	−0.0195132	−	0.0600554i
$269$	−14.0766	−	19.3748i	−0.858268	−	1.18130i	−0.981980	−	0.188986i	$-0.939480\pi$
$269$	−14.0766	−	19.3748i	−0.858268	−	1.18130i	0.123712	−	0.992318i	$-0.460520\pi$
$270$	11.4082	+	5.58600i	0.694283	+	0.339953i
$271$	−21.0861	+	6.85128i	−1.28089	+	0.416186i	−0.868893	−	0.495001i	$-0.835168\pi$
$271$	−21.0861	+	6.85128i	−1.28089	+	0.416186i	−0.411995	+	0.911186i	$0.635168\pi$
$272$	−0.522107	+	1.60688i	−0.0316574	+	0.0974315i
$273$	10.6038	+	5.33226i	0.641770	+	0.322723i
$274$		−	0.630479i		−	0.0380886i
$275$	−3.19182	+	0.538497i	−0.192474	+	0.0324726i
$276$	−1.59357	−	9.72729i	−0.0959217	−	0.585514i
$277$	12.8606	−	17.7012i	0.772721	−	1.06356i	−0.223327	−	0.974744i	$-0.571692\pi$
$277$	12.8606	−	17.7012i	0.772721	−	1.06356i	0.996048	−	0.0888160i	$-0.0283083\pi$
$278$	1.18245	+	0.384201i	0.0709186	+	0.0230428i
$279$	1.41087	+	1.89921i	0.0844667	+	0.113703i
$280$	−1.97771	+	1.43689i	−0.118191	+	0.0858705i
$281$	2.91966	−	2.12126i	0.174172	−	0.126544i	−0.497284	−	0.867588i	$-0.665669\pi$
$281$	2.91966	−	2.12126i	0.174172	−	0.126544i	0.671456	+	0.741044i	$0.265669\pi$
$282$	7.79473	−	4.02382i	0.464169	−	0.239615i
$283$	6.66653	+	2.16609i	0.396284	+	0.128761i	0.500378	−	0.865807i	$-0.333194\pi$
$283$	6.66653	+	2.16609i	0.396284	+	0.128761i	−0.104094	+	0.994567i	$0.533194\pi$
$284$	4.46190	−	6.14128i	0.264765	−	0.364418i
$285$	27.0204	−	4.42662i	1.60055	−	0.262210i
$286$	−16.2315	−	15.9083i	−0.959791	−	0.940675i
$287$			9.04136i			0.533695i
$288$	−2.86284	−	0.896741i	−0.168695	−	0.0528409i
$289$	−4.37115	+	13.4530i	−0.257126	+	0.791354i
$290$	13.0179	−	4.22978i	0.764438	−	0.248381i
$291$	1.24706	−	1.26036i	0.0731040	−	0.0738834i
$292$	0.0670082	+	0.0922289i	0.00392136	+	0.00539729i
$293$	4.67047	+	14.3742i	0.272852	+	0.839751i	0.989780	+	0.142604i	$0.0455475\pi$
$293$	4.67047	+	14.3742i	0.272852	+	0.839751i	−0.716928	+	0.697147i	$0.754452\pi$
$294$	−0.261877	+	1.71214i	−0.0152730	+	0.0998540i
$295$	−27.0579	−	19.6587i	−1.57537	−	1.14458i
$296$	6.86586			0.399070
$297$	−17.2279	+	0.447444i	−0.999663	+	0.0259633i
$298$	−19.9004			−1.15280
$299$	−31.5496	−	22.9221i	−1.82456	−	1.32562i
$300$	−0.255584	+	1.67100i	−0.0147562	+	0.0964750i
$301$	1.90576	+	5.86533i	0.109846	+	0.338072i
$302$	−3.68171	−	5.06744i	−0.211859	−	0.291599i
$303$	15.7803	−	15.9485i	0.906554	−	0.916220i
$304$	−6.15014	+	1.99830i	−0.352735	+	0.114610i
$305$	−7.55625	+	23.2558i	−0.432670	+	1.33162i
$306$	4.83698	+	1.51511i	0.276512	+	0.0866131i
$307$		−	2.78519i		−	0.158959i	−0.996836	−	0.0794796i	$-0.974674\pi$
$307$		−	2.78519i		−	0.158959i	0.996836	−	0.0794796i	$-0.0253258\pi$
$308$	1.47592	−	2.97013i	0.0840982	−	0.169239i
$309$	4.86658	−	0.797266i	0.276850	−	0.0453549i
$310$	−1.13319	+	1.55970i	−0.0643606	+	0.0885848i
$311$	−1.60899	−	0.522792i	−0.0912374	−	0.0296448i	0.263043	−	0.964784i	$-0.415274\pi$
$311$	−1.60899	−	0.522792i	−0.0912374	−	0.0296448i	−0.354280	+	0.935139i	$0.615274\pi$
$312$	−10.5466	+	5.44442i	−0.597086	+	0.308229i
$313$	−2.84236	+	2.06509i	−0.160660	+	0.116726i	−0.665210	−	0.746656i	$-0.731658\pi$
$313$	−2.84236	+	2.06509i	−0.160660	+	0.116726i	0.504551	+	0.863382i	$0.331658\pi$
$314$	10.7168	−	7.78620i	0.604783	−	0.439401i
$315$	4.37334	+	5.88707i	0.246410	+	0.331699i
$316$	−9.93937	−	3.22950i	−0.559133	−	0.181673i
$317$	6.23541	−	8.58231i	0.350216	−	0.482031i	−0.597175	−	0.802111i	$-0.703710\pi$
$317$	6.23541	−	8.58231i	0.350216	−	0.482031i	0.947390	+	0.320081i	$0.103710\pi$
$318$	0.364898	+	2.22737i	0.0204625	+	0.124905i
$319$	−12.9987	+	13.2629i	−0.727787	+	0.742577i
$320$		−	2.44458i		−	0.136656i
$321$	12.1712	+	6.12046i	0.679330	+	0.341611i
$322$	1.75859	−	5.41238i	0.0980024	−	0.301620i
$323$	10.3911	−	3.37628i	0.578177	−	0.187861i
$324$	−2.59899	+	8.61657i	−0.144388	+	0.478698i
$325$	3.93105	+	5.41063i	0.218055	+	0.300127i
$326$	−2.25640	−	6.94450i	−0.124971	−	0.384620i
$327$	−16.6910	−	2.55294i	−0.923013	−	0.141178i
$328$	−7.31461	−	5.31438i	−0.403882	−	0.293437i
$329$	5.06455			0.279218
$330$	−4.54417	−	13.2875i	−0.250149	−	0.731452i
$331$	−23.1537			−1.27264			−0.636320	−	0.771425i	$-0.719544\pi$
$331$	−23.1537			−1.27264			−0.636320	+	0.771425i	$0.719544\pi$
$332$	−2.09224	−	1.52010i	−0.114826	−	0.0834262i
$333$	−0.218440	−	20.5964i	−0.0119705	−	1.12868i
$334$	4.00776	+	12.3346i	0.219295	+	0.674921i
$335$	−1.48537	−	2.04444i	−0.0811546	−	0.111700i
$336$	−1.23122	−	1.21823i	−0.0671687	−	0.0664601i
$337$	−28.9289	+	9.39956i	−1.57586	+	0.512027i	−0.960985	−	0.276601i	$-0.910792\pi$
$337$	−28.9289	+	9.39956i	−1.57586	+	0.512027i	−0.614871	+	0.788628i	$0.710792\pi$
$338$	−10.4935	+	32.2957i	−0.570772	+	1.75666i
$339$	−9.47768	+	18.8474i	−0.514757	+	1.02365i
$340$			4.13030i			0.223997i
$341$	0.383168	−	2.58740i	0.0207497	−	0.140116i
$342$	6.19024	+	18.3858i	0.334730	+	0.994191i
$343$	−0.587785	+	0.809017i	−0.0317374	+	0.0436828i
$344$	−5.86533	−	1.90576i	−0.316237	−	0.102752i
$345$	−11.0531	−	21.4115i	−0.595079	−	1.15276i
$346$	13.7907	−	10.0196i	0.741395	−	0.538655i
$347$	22.6140	−	16.4300i	1.21398	−	0.882009i	0.218395	−	0.975860i	$-0.429918\pi$
$347$	22.6140	−	16.4300i	1.21398	−	0.882009i	0.995586	+	0.0938516i	$0.0299179\pi$
$348$	4.44866	+	8.61770i	0.238473	+	0.461957i
$349$	−15.8310	−	5.14379i	−0.847412	−	0.275341i	−0.147050	−	0.989129i	$-0.546978\pi$
$349$	−15.8310	−	5.14379i	−0.847412	−	0.275341i	−0.700362	+	0.713788i	$0.746978\pi$
$350$	−0.573660	+	0.789576i	−0.0306634	+	0.0422046i
$351$	16.6679	+	31.4649i	0.889665	+	1.67947i
$352$	1.53536	+	2.93984i	0.0818351	+	0.156694i
$353$			29.5840i			1.57460i	0.616571	+	0.787299i	$0.288521\pi$
$353$			29.5840i			1.57460i	−0.616571	+	0.787299i	$0.711479\pi$
$354$	10.6461	−	21.1709i	0.565834	−	1.12522i
$355$	5.73440	−	17.6487i	0.304350	−	0.936694i
$356$	−11.2197	+	3.64551i	−0.594644	+	0.193211i
$357$	2.08024	+	2.05830i	0.110098	+	0.108937i
$358$	3.26034	+	4.48747i	0.172314	+	0.237170i
$359$	−1.43780	−	4.42509i	−0.0758842	−	0.233547i	0.905918	−	0.423453i	$-0.139182\pi$
$359$	−1.43780	−	4.42509i	−0.0758842	−	0.233547i	−0.981802	+	0.189905i	$0.939182\pi$
$360$	−7.33333	+	0.0777754i	−0.386500	+	0.00409912i
$361$	18.4597	+	13.4117i	0.971563	+	0.705882i
$362$	15.3937			0.809077
$363$	13.8103	+	13.1254i	0.724850	+	0.688906i
$364$	−6.85257			−0.359172
$365$	0.225461	+	0.163807i	0.0118012	+	0.00857405i
$366$	−17.1261	−	2.61950i	−0.895197	−	0.136923i
$367$	8.06717	+	24.8282i	0.421103	+	1.29602i	0.906677	+	0.421826i	$0.138611\pi$
$367$	8.06717	+	24.8282i	0.421103	+	1.29602i	−0.485574	+	0.874195i	$0.661389\pi$
$368$	3.34504	+	4.60405i	0.174372	+	0.240003i
$369$	−15.7095	+	22.1117i	−0.817805	+	1.15109i
$370$	15.9627	−	5.18658i	0.829859	−	0.269638i
$371$	−0.402684	+	1.23934i	−0.0209063	+	0.0643431i
$372$	−1.22035	−	0.613671i	−0.0632723	−	0.0318174i
$373$			19.1643i			0.992288i	0.868240	+	0.496144i	$0.165251\pi$
$373$			19.1643i			0.992288i	−0.868240	+	0.496144i	$0.834749\pi$
$374$	−2.59411	−	4.96708i	−0.134138	−	0.256842i
$375$	−2.75457	−	16.8142i	−0.142246	−	0.868279i
$376$	−2.97687	+	4.09731i	−0.153520	+	0.211302i
$377$	36.4914	+	11.8568i	1.87940	+	0.610656i
$378$	−3.61532	+	3.73222i	−0.185952	+	0.191965i
$379$	−2.13006	+	1.54758i	−0.109414	+	0.0794936i	−0.641147	−	0.767418i	$-0.721541\pi$
$379$	−2.13006	+	1.54758i	−0.109414	+	0.0794936i	0.531733	+	0.846912i	$0.321541\pi$
$380$	−12.7891	+	9.29184i	−0.656068	+	0.476661i
$381$	−12.0697	+	6.23067i	−0.618351	+	0.319207i
$382$	−10.5754	−	3.43614i	−0.541082	−	0.175808i
$383$	6.08296	−	8.37247i	0.310825	−	0.427813i	−0.624814	−	0.780774i	$-0.714825\pi$
$383$	6.08296	−	8.37247i	0.310825	−	0.427813i	0.935638	+	0.352961i	$0.114825\pi$
$384$	1.70927	−	0.280020i	0.0872256	−	0.0142897i
$385$	1.18772	−	8.02029i	0.0605320	−	0.408752i
$386$			12.9381i			0.658534i
$387$	−5.53035	+	17.6556i	−0.281124	+	0.897486i
$388$	−0.316329	+	0.973561i	−0.0160592	+	0.0494251i
$389$	12.7308	−	4.13649i	0.645478	−	0.209729i	0.0320590	−	0.999486i	$-0.489794\pi$
$389$	12.7308	−	4.13649i	0.645478	−	0.209729i	0.613419	+	0.789757i	$0.289794\pi$
$390$	−20.4074	+	20.6250i	−1.03337	+	1.04439i
$391$	−5.65169	−	7.77888i	−0.285818	−	0.393395i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	−4.45900	+	29.1527i	−0.224927	+	1.47056i
$394$	−12.6574	−	9.19613i	−0.637670	−	0.463295i
$395$	−25.5480			−1.28546
$396$	8.77018	−	4.69936i	0.440718	−	0.236152i
$397$	9.55818			0.479711			0.239856	−	0.970809i	$-0.422900\pi$
$397$	9.55818			0.479711			0.239856	+	0.970809i	$0.422900\pi$
$398$	−9.63919	−	7.00328i	−0.483169	−	0.351043i
$399$	−1.69347	+	11.0718i	−0.0847793	+	0.554283i
$400$	−0.301591	−	0.928202i	−0.0150796	−	0.0464101i
$401$	−11.4308	−	15.7331i	−0.570825	−	0.785674i	0.421827	−	0.906676i	$-0.361389\pi$
$401$	−11.4308	−	15.7331i	−0.570825	−	0.785674i	−0.992652	+	0.121003i	$0.961389\pi$
$402$	1.25934	−	1.27277i	0.0628102	−	0.0634799i
$403$	−5.13970	+	1.66999i	−0.256027	+	0.0831882i
$404$	−4.00283	+	12.3194i	−0.199148	+	0.612915i
$405$	0.466626	+	21.9963i	0.0231868	+	1.09300i
$406$			5.59927i			0.277887i
$407$	−15.9391	+	16.2630i	−0.790072	+	0.806127i
$408$	−2.88793	+	0.473115i	−0.142974	+	0.0234227i
$409$	−2.14037	+	2.94597i	−0.105835	+	0.145669i	−0.858649	−	0.512564i	$-0.828696\pi$
$409$	−2.14037	+	2.94597i	−0.105835	+	0.145669i	0.752814	+	0.658233i	$0.228696\pi$
$410$	−21.0206	−	6.82999i	−1.03813	−	0.337309i
$411$	0.970356	−	0.500920i	0.0478641	−	0.0247086i
$412$	−2.30341	+	1.67353i	−0.113481	+	0.0824487i
$413$	11.0685	−	8.04177i	0.544648	−	0.395710i
$414$	13.7049	−	10.1810i	0.673561	−	0.500370i
$415$	−6.01261	−	1.95362i	−0.295148	−	0.0958993i
$416$	4.02784	−	5.54385i	0.197481	−	0.271810i
$417$	0.348149	+	2.12513i	0.0170489	+	0.104068i
$418$	9.54422	−	19.2068i	0.466823	−	0.939433i
$419$		−	21.8005i		−	1.06503i	−0.846422	−	0.532513i	$-0.821248\pi$
$419$		−	21.8005i		−	1.06503i	0.846422	−	0.532513i	$-0.178752\pi$
$420$	−3.78278	−	1.90223i	−0.184581	−	0.0928191i
$421$	−4.81466	+	14.8180i	−0.234652	+	0.722184i	0.762515	+	0.646970i	$0.223964\pi$
$421$	−4.81466	+	14.8180i	−0.234652	+	0.722184i	−0.997167	+	0.0752144i	$0.976036\pi$
$422$	7.79074	−	2.53136i	0.379247	−	0.123225i
$423$	12.3859	+	8.79974i	0.602225	+	0.427858i
$424$	−0.765951	−	1.05424i	−0.0371979	−	0.0511985i
$425$	0.509561	+	1.56827i	0.0247173	+	0.0760721i
$426$	12.9969	+	1.98792i	0.629703	+	0.0963151i
$427$	−8.09241	−	5.87948i	−0.391619	−	0.284528i
$428$	−7.86549			−0.380193
$429$	11.5880	−	37.6208i	0.559472	−	1.81635i
$430$	−15.0761			−0.727036
$431$	13.4407	+	9.76525i	0.647416	+	0.470375i	0.862390	−	0.506244i	$-0.168967\pi$
$431$	13.4407	+	9.76525i	0.647416	+	0.470375i	−0.214974	+	0.976620i	$0.568967\pi$
$432$	−0.894394	−	5.11860i	−0.0430315	−	0.246269i
$433$	2.90462	+	8.93950i	0.139587	+	0.429605i	0.996275	−	0.0862296i	$-0.0274819\pi$
$433$	2.90462	+	8.93950i	0.139587	+	0.429605i	−0.856688	+	0.515835i	$0.827482\pi$
$434$	−0.463550	−	0.638022i	−0.0222511	−	0.0306260i
$435$	16.8528	+	16.6750i	0.808029	+	0.799505i
$436$	9.27147	−	3.01248i	0.444023	−	0.144272i
$437$	11.3722	−	34.9999i	0.544005	−	1.67427i
$438$	−0.0887089	+	0.176407i	−0.00423868	+	0.00842907i
$439$		−	7.73871i		−	0.369349i	−0.982800	−	0.184674i	$-0.940877\pi$
$439$		−	7.73871i		−	0.369349i	0.982800	−	0.184674i	$-0.0591230\pi$
$440$	5.79042	+	5.67509i	0.276047	+	0.270549i
$441$	−2.84318	+	0.957257i	−0.135389	+	0.0455837i
$442$	−6.80534	+	9.36674i	−0.323697	+	0.445531i
$443$	−12.3655	−	4.01780i	−0.587503	−	0.190891i	0.000156063	−	1.00000i	$-0.499950\pi$
$443$	−12.3655	−	4.01780i	−0.587503	−	0.190891i	−0.587659	+	0.809109i	$0.699950\pi$
$444$	5.45497	+	10.5671i	0.258882	+	0.501492i
$445$	−23.3312	+	16.9511i	−1.10601	+	0.803560i
$446$	8.05525	−	5.85248i	0.381427	−	0.277123i
$447$	−15.8110	−	30.6282i	−0.747834	−	1.44866i
$448$	0.951057	+	0.309017i	0.0449332	+	0.0145997i
$449$	1.34634	−	1.85308i	0.0635378	−	0.0874523i	−0.776066	−	0.630652i	$-0.782787\pi$
$449$	1.34634	−	1.85308i	0.0635378	−	0.0874523i	0.839603	+	0.543200i	$0.182787\pi$
$450$	−2.77485	+	0.934254i	−0.130808	+	0.0440411i
$451$	29.5689	−	4.98863i	1.39235	−	0.234905i
$452$		−	12.1799i		−	0.572895i
$453$	4.87404	−	9.69256i	0.229002	−	0.455396i
$454$	0.944859	−	2.90798i	0.0443444	−	0.136478i
$455$	−15.9318	+	5.17655i	−0.746893	+	0.242680i
$456$	−7.96187	−	7.87788i	−0.372849	−	0.368915i
$457$	−0.00249035	−	0.00342767i	−0.000116494	−	0.000160340i	0.808959	−	0.587865i	$-0.200032\pi$
$457$	−0.00249035	−	0.00342767i	−0.000116494	−	0.000160340i	−0.809075	+	0.587705i	$0.800032\pi$
$458$	4.75140	+	14.6233i	0.222018	+	0.683302i
$459$	1.51114	+	8.64825i	0.0705342	+	0.403666i
$460$	11.2550	+	8.17721i	0.524765	+	0.381264i
$461$	3.55278			0.165469			0.0827346	−	0.996572i	$-0.473635\pi$
$461$	3.55278			0.165469			0.0827346	+	0.996572i	$0.473635\pi$
$462$	5.74388	−	0.0882381i	0.267230	−	0.00410521i
$463$	12.9691			0.602725			0.301362	−	0.953510i	$-0.402559\pi$
$463$	12.9691			0.602725			0.301362	+	0.953510i	$0.402559\pi$
$464$	−4.52990	−	3.29117i	−0.210295	−	0.152789i
$465$	−3.30082	−	0.504871i	−0.153072	−	0.0234128i
$466$	6.77610	+	20.8547i	0.313897	+	0.966075i
$467$	−0.0877085	−	0.120720i	−0.00405866	−	0.00558627i	0.806983	−	0.590575i	$-0.201099\pi$
$467$	−0.0877085	−	0.120720i	−0.00405866	−	0.00558627i	−0.811042	+	0.584989i	$0.801099\pi$
$468$	−16.7588	−	11.9065i	−0.774674	−	0.550376i
$469$	0.983149	−	0.319444i	0.0453976	−	0.0147506i
$470$	−3.82584	+	11.7747i	−0.176473	+	0.543128i
$471$	20.4981	+	10.3078i	0.944504	+	0.474957i
$472$			13.6815i			0.629741i
$473$	18.1305	−	9.46884i	0.833641	−	0.435378i
$474$	−2.92645	−	17.8633i	−0.134416	−	0.820489i
$475$	−3.70965	+	5.10590i	−0.170211	+	0.234275i
$476$	−1.60688	−	0.522107i	−0.0736513	−	0.0239307i
$477$	−3.13818	+	2.33127i	−0.143687	+	0.106741i
$478$	−1.37161	+	0.996532i	−0.0627359	+	0.0455803i
$479$	12.0900	−	8.78393i	0.552408	−	0.401348i	−0.276265	−	0.961082i	$-0.589097\pi$
$479$	12.0900	−	8.78393i	0.552408	−	0.401348i	0.828672	+	0.559734i	$0.189097\pi$
$480$	3.76240	−	1.94224i	0.171729	−	0.0886505i
$481$	44.7461	+	14.5389i	2.04025	+	0.662916i
$482$	−15.9397	+	21.9391i	−0.726033	+	0.999299i
$483$	9.72729	−	1.59357i	0.442607	−	0.0725100i
$484$	−10.5279	−	3.18806i	−0.478540	−	0.144912i
$485$			2.50243i			0.113629i
$486$	−15.3265	+	2.84588i	−0.695223	+	0.129092i
$487$	−10.3721	+	31.9219i	−0.470003	+	1.44652i	0.382577	+	0.923924i	$0.375037\pi$
$487$	−10.3721	+	31.9219i	−0.470003	+	1.44652i	−0.852580	+	0.522597i	$0.824963\pi$
$488$	9.51319	−	3.09102i	0.430642	−	0.139924i
$489$	8.89539	−	8.99024i	0.402264	−	0.406553i
$490$	−1.43689	−	1.97771i	−0.0649120	−	0.0893437i
$491$	4.19669	+	12.9161i	0.189394	+	0.582895i	0.999996	−	0.00270204i	$-0.000860088\pi$
$491$	4.19669	+	12.9161i	0.189394	+	0.582895i	−0.810602	+	0.585597i	$0.800860\pi$
$492$	2.36773	−	15.4801i	0.106745	−	0.697895i
$493$	7.65360	+	5.56067i	0.344701	+	0.250440i
$494$	−44.3131			−1.99374
$495$	16.8401	−	17.5508i	0.756906	−	0.788852i
$496$	0.788639			0.0354109
$497$	6.14128	+	4.46190i	0.275474	+	0.200144i
$498$	0.677252	−	4.42784i	0.0303484	−	0.198416i
$499$	−10.2184	−	31.4489i	−0.457437	−	1.40785i	−0.868250	−	0.496127i	$-0.834755\pi$
$499$	−10.2184	−	31.4489i	−0.457437	−	1.40785i	0.410813	−	0.911720i	$-0.365245\pi$
$500$	5.78208	+	7.95835i	0.258583	+	0.355908i
$501$	−15.7998	+	15.9682i	−0.705881	+	0.713407i
$502$	22.2809	−	7.23950i	0.994444	−	0.323115i
$503$	5.58010	−	17.1738i	0.248805	−	0.765742i	−0.746183	−	0.665741i	$-0.768116\pi$
$503$	5.58010	−	17.1738i	0.248805	−	0.765742i	0.994987	−	0.100001i	$-0.0318845\pi$
$504$	0.896741	−	2.86284i	0.0399440	−	0.127521i
$505$			31.6657i			1.40910i
$506$	−18.6710	−	2.76499i	−0.830028	−	0.122919i
$507$	−58.0428	+	9.50885i	−2.57777	+	0.422303i
$508$	4.60952	−	6.34446i	0.204514	−	0.281490i
$509$	6.11971	+	1.98841i	0.271251	+	0.0881349i	0.441484	−	0.897269i	$-0.354452\pi$
$509$	6.11971	+	1.98841i	0.271251	+	0.0881349i	−0.170233	+	0.985404i	$0.554452\pi$
$510$	−6.35685	+	3.28155i	−0.281486	+	0.145310i
$511$	−0.0922289	+	0.0670082i	−0.00407997	+	0.00296427i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	−23.3790	+	24.1349i	−1.03221	+	1.06558i
$514$	11.2161	+	3.64432i	0.494720	+	0.160744i
$515$	−4.09107	+	5.63087i	−0.180274	+	0.248126i
$516$	−1.72693	−	10.5413i	−0.0760239	−	0.464056i
$517$	−2.79440	−	16.5631i	−0.122897	−	0.728446i
$518$			6.86586i			0.301669i
$519$	26.3777	+	13.2644i	1.15785	+	0.582243i
$520$	5.17655	−	15.9318i	0.227007	−	0.698655i
$521$	18.2045	−	5.91501i	0.797555	−	0.259141i	0.118237	−	0.992985i	$-0.462276\pi$
$521$	18.2045	−	5.91501i	0.797555	−	0.259141i	0.679318	+	0.733844i	$0.262276\pi$
$522$	−9.72882	+	13.6936i	−0.425819	+	0.599355i
$523$	17.4102	+	23.9631i	0.761294	+	1.04783i	0.997105	+	0.0760326i	$0.0242253\pi$
$523$	17.4102	+	23.9631i	0.761294	+	1.04783i	−0.235811	+	0.971799i	$0.575775\pi$
$524$	−5.26165	−	16.1937i	−0.229856	−	0.707425i
$525$	−1.67100	−	0.255584i	−0.0729282	−	0.0111546i
$526$	16.0255	+	11.6432i	0.698746	+	0.507669i
$527$	−1.33246			−0.0580430
$528$	−3.30478	+	4.69877i	−0.143822	+	0.204488i
$529$	−9.38653			−0.408110
$530$	−2.57718	−	1.87243i	−0.111945	−	0.0813331i
$531$	41.0421	−	0.435282i	1.78108	−	0.0188896i
$532$	−1.99830	−	6.15014i	−0.0866374	−	0.266642i
$533$	−36.4172	−	50.1239i	−1.57740	−	2.17111i
$534$	−14.5249	−	14.3716i	−0.628552	−	0.621921i
$535$	−18.2867	+	5.94172i	−0.790605	+	0.256883i
$536$	−0.319444	+	0.983149i	−0.0137979	+	0.0424655i
$537$	−4.31620	+	8.58324i	−0.186258	+	0.370394i
$538$			23.9486i			1.03250i
$539$	2.97013	+	1.47592i	0.127933	+	0.0635722i
$540$	−5.94608	−	11.2248i	−0.255879	−	0.483037i
$541$	1.41587	−	1.94878i	0.0608731	−	0.0837847i	−0.777495	−	0.628889i	$-0.783510\pi$
$541$	1.41587	−	1.94878i	0.0608731	−	0.0837847i	0.838368	+	0.545104i	$0.183510\pi$
$542$	21.0861	+	6.85128i	0.905724	+	0.294288i
$543$	12.2304	+	23.6922i	0.524858	+	1.01673i
$544$	1.36689	−	0.993107i	0.0586051	−	0.0425791i
$545$	19.2799	−	14.0077i	0.825859	−	0.600022i
$546$	−5.44442	−	10.5466i	−0.233000	−	0.451354i
$547$	2.93829	+	0.954710i	0.125632	+	0.0408204i	0.371158	−	0.928570i	$-0.378961\pi$
$547$	2.93829	+	0.954710i	0.125632	+	0.0408204i	−0.245526	+	0.969390i	$0.578961\pi$
$548$	−0.370586	+	0.510068i	−0.0158307	+	0.0217890i
$549$	−9.57522	−	28.4396i	−0.408660	−	1.21377i
$550$	2.89876	+	1.44045i	0.123603	+	0.0614210i
$551$			36.2084i			1.54253i
$552$	−4.42833	+	8.80622i	−0.188482	+	0.374818i
$553$	3.22950	−	9.93937i	0.137332	−	0.422665i
$554$	−20.8090	+	6.76124i	−0.884088	+	0.287258i
$555$	20.6650	+	20.4470i	0.877181	+	0.867927i
$556$	−0.730794	−	1.00585i	−0.0309926	−	0.0426576i
$557$	−13.0949	−	40.3020i	−0.554849	−	1.70765i	−0.696341	−	0.717711i	$-0.745190\pi$
$557$	−13.0949	−	40.3020i	−0.554849	−	1.70765i	0.141492	−	0.989939i	$-0.454810\pi$
$558$	−0.0250909	−	2.36578i	−0.00106218	−	0.100152i
$559$	−34.1899	−	24.8404i	−1.44608	−	1.05064i
$560$	2.44458			0.103302
$561$	5.58368	−	7.93891i	0.235743	−	0.335181i
$562$	−3.60890			−0.152232
$563$	21.5555	+	15.6610i	0.908456	+	0.660032i	0.940624	−	0.339451i	$-0.110241\pi$
$563$	21.5555	+	15.6610i	0.908456	+	0.660032i	−0.0321679	+	0.999482i	$0.510241\pi$
$564$	−8.67121	−	1.32629i	−0.365124	−	0.0558469i
$565$	−9.20091	−	28.3175i	−0.387085	−	1.19133i
$566$	−4.12014	−	5.67089i	−0.173182	−	0.238365i
$567$	−8.61657	−	2.59899i	−0.361862	−	0.109147i
$568$	−7.21951	+	2.34576i	−0.302924	+	0.0984260i
$569$	2.88942	−	8.89271i	0.121131	−	0.372802i	−0.872046	−	0.489425i	$-0.837207\pi$
$569$	2.88942	−	8.89271i	0.121131	−	0.372802i	0.993176	+	0.116623i	$0.0372069\pi$
$570$	−24.4619	−	12.3010i	−1.02460	−	0.515232i
$571$		−	11.7998i		−	0.493804i	−0.969040	−	0.246902i	$-0.920587\pi$
$571$		−	11.7998i		−	0.493804i	0.969040	−	0.246902i	$-0.0794126\pi$
$572$	3.78095	+	22.4107i	0.158089	+	0.937039i
$573$	−3.11371	−	19.0063i	−0.130077	−	0.794001i
$574$	5.31438	−	7.31461i	0.221818	−	0.305306i
$575$	5.28232	+	1.71633i	0.220288	+	0.0715759i
$576$	1.78900	+	2.40821i	0.0745415	+	0.100342i
$577$	−12.2283	+	8.88435i	−0.509069	+	0.369860i	−0.812470	−	0.583002i	$-0.801878\pi$
$577$	−12.2283	+	8.88435i	−0.509069	+	0.369860i	0.303401	+	0.952863i	$0.401878\pi$
$578$	11.4438	−	8.31442i	0.476000	−	0.345834i
$579$	−19.9128	+	10.2794i	−0.827548	+	0.427199i
$580$	−13.0179	−	4.22978i	−0.540540	−	0.175632i
$581$	1.52010	−	2.09224i	0.0630643	−	0.0868005i
$582$	−1.74971	+	0.286646i	−0.0725279	+	0.0118819i
$583$	4.27531	+	0.633131i	0.177065	+	0.0262216i
$584$		−	0.114001i		−	0.00471740i
$585$	−47.9573	−	15.0219i	−1.98279	−	0.621079i
$586$	4.67047	−	14.3742i	0.192935	−	0.593794i
$587$	−10.6792	+	3.46988i	−0.440778	+	0.143217i	−0.520995	−	0.853560i	$-0.674439\pi$
$587$	−10.6792	+	3.46988i	−0.440778	+	0.143217i	0.0802165	+	0.996777i	$0.474439\pi$
$588$	1.21823	−	1.23122i	0.0502391	−	0.0507747i
$589$	−2.99761	−	4.12586i	−0.123514	−	0.170003i
$590$	10.3352	+	31.8085i	0.425494	+	1.30954i
$591$	4.09717	−	26.7871i	0.168535	−	1.10187i
$592$	−5.55460	−	4.03565i	−0.228293	−	0.165864i
$593$	−14.3949			−0.591129			−0.295565	−	0.955323i	$-0.595508\pi$
$593$	−14.3949			−0.591129			−0.295565	+	0.955323i	$0.595508\pi$
$594$	14.2006	+	9.76430i	0.582660	+	0.400634i
$595$	−4.13030			−0.169326
$596$	16.0997	+	11.6971i	0.659471	+	0.479134i
$597$	3.12019	−	20.3996i	0.127701	−	0.834900i
$598$	12.0509	+	37.0887i	0.492796	+	1.51667i
$599$	21.9616	+	30.2276i	0.897327	+	1.23506i	0.971313	+	0.237805i	$0.0764280\pi$
$599$	21.9616	+	30.2276i	0.897327	+	1.23506i	−0.0739859	+	0.997259i	$0.523572\pi$
$600$	1.18896	−	1.20163i	0.0485390	−	0.0490565i
$601$	2.99070	−	0.971739i	0.121993	−	0.0396381i	−0.247384	−	0.968917i	$-0.579571\pi$
$601$	2.99070	−	0.971739i	0.121993	−	0.0396381i	0.369377	+	0.929279i	$0.379571\pi$
$602$	1.90576	−	5.86533i	0.0776730	−	0.239053i
$603$	2.95944	+	0.927000i	0.120518	+	0.0377503i
$604$			6.26370i			0.254867i
$605$	−26.8849	+	0.540902i	−1.09303	+	0.0219908i
$606$	−22.1408	+	3.62722i	−0.899410	+	0.147346i
$607$	26.6210	−	36.6406i	1.08051	−	1.48720i	0.221557	−	0.975147i	$-0.428886\pi$
$607$	26.6210	−	36.6406i	1.08051	−	1.48720i	0.858955	−	0.512050i	$-0.171114\pi$
$608$	6.15014	+	1.99830i	0.249421	+	0.0810418i
$609$	−8.61770	+	4.44866i	−0.349207	+	0.180269i
$610$	19.7825	−	14.3728i	0.800971	−	0.581940i
$611$	−28.0771	+	20.3992i	−1.13588	+	0.825263i
$612$	−3.02264	−	4.06886i	−0.122183	−	0.164474i
$613$	−5.29933	−	1.72186i	−0.214038	−	0.0695451i	0.200035	−	0.979789i	$-0.435894\pi$
$613$	−5.29933	−	1.72186i	−0.214038	−	0.0695451i	−0.414073	+	0.910244i	$0.635894\pi$
$614$	−1.63709	+	2.25327i	−0.0660677	+	0.0909344i
$615$	−6.18909	−	37.7787i	−0.249568	−	1.52339i
$616$	−2.93984	+	1.53536i	−0.118450	+	0.0618615i
$617$		−	16.5004i		−	0.664279i	−0.943230	−	0.332140i	$-0.892229\pi$
$617$		−	16.5004i		−	0.664279i	0.943230	−	0.332140i	$-0.107771\pi$
$618$	−4.40576	−	2.21550i	−0.177226	−	0.0891205i
$619$	−4.67155	+	14.3776i	−0.187766	+	0.577883i	−0.999985	−	0.00546885i	$-0.998259\pi$
$619$	−4.67155	+	14.3776i	−0.187766	+	0.577883i	0.812219	+	0.583352i	$0.198259\pi$
$620$	1.83353	−	0.595751i	0.0736364	−	0.0239259i
$621$	26.5581	+	13.0041i	1.06574	+	0.521835i
$622$	0.994410	+	1.36869i	0.0398722	+	0.0548794i
$623$	−3.64551	−	11.2197i	−0.146054	−	0.449508i
$624$	11.7326	+	1.79453i	0.469678	+	0.0718388i
$625$	23.4027	+	17.0031i	0.936108	+	0.680122i
$626$	3.51335			0.140422
$627$	37.1436	−	0.570604i	1.48337	−	0.0227877i
$628$	−13.2467			−0.528600
$629$	9.38491	+	6.81853i	0.374201	+	0.271873i
$630$	−0.0777754	−	7.33333i	−0.00309864	−	0.292167i
$631$	2.90419	+	8.93819i	0.115614	+	0.355824i	0.992075	−	0.125650i	$-0.0401016\pi$
$631$	2.90419	+	8.93819i	0.115614	+	0.355824i	−0.876460	+	0.481474i	$0.840102\pi$
$632$	6.14287	+	8.45493i	0.244350	+	0.336319i
$633$	10.0858	+	9.97936i	0.400873	+	0.396644i
$634$	−10.0891	+	3.27815i	−0.400690	+	0.130192i
$635$	5.92411	−	18.2325i	0.235091	−	0.723537i
$636$	1.01401	−	2.01646i	0.0402079	−	0.0799579i
$637$		−	6.85257i		−	0.271509i
$638$	18.3119	−	3.08943i	0.724974	−	0.122312i
$639$	7.26658	+	21.5827i	0.287462	+	0.853798i
$640$	−1.43689	+	1.97771i	−0.0567980	+	0.0781757i
$641$	−12.7697	−	4.14913i	−0.504373	−	0.163881i	0.0457687	−	0.998952i	$-0.485426\pi$
$641$	−12.7697	−	4.14913i	−0.504373	−	0.163881i	−0.550142	+	0.835071i	$0.685426\pi$
$642$	−6.24919	−	12.1056i	−0.246636	−	0.477770i
$643$	37.4732	−	27.2259i	1.47780	−	1.07368i	0.499542	−	0.866290i	$-0.333502\pi$
$643$	37.4732	−	27.2259i	1.47780	−	1.07368i	0.978257	−	0.207394i	$-0.0664983\pi$
$644$	−4.60405	+	3.34504i	−0.181425	+	0.131813i
$645$	−11.9781	−	23.2033i	−0.471637	−	0.913631i
$646$	−10.3911	−	3.37628i	−0.408833	−	0.132838i
$647$	−15.7613	+	21.6936i	−0.619640	+	0.852862i	−0.997327	−	0.0730717i	$-0.976720\pi$
$647$	−15.7613	+	21.6936i	−0.619640	+	0.852862i	0.377686	+	0.925934i	$0.376720\pi$
$648$	7.16732	−	5.44330i	0.281559	−	0.213833i
$649$	−32.4070	−	31.7616i	−1.27209	−	1.24675i
$650$		−	6.68790i		−	0.262321i
$651$	0.613671	−	1.22035i	0.0240517	−	0.0478294i
$652$	−2.25640	+	6.94450i	−0.0883676	+	0.271968i
$653$	25.7723	−	8.37394i	1.00855	−	0.327698i	0.242273	−	0.970208i	$-0.422107\pi$
$653$	25.7723	−	8.37394i	1.00855	−	0.327698i	0.766277	+	0.642511i	$0.222107\pi$
$654$	12.0027	+	11.8761i	0.469343	+	0.464391i
$655$	−24.4660	−	33.6745i	−0.955964	−	1.31577i
$656$	2.79393	+	8.59884i	0.109085	+	0.335728i
$657$	−0.341984	+	0.00362700i	−0.0133421	+	0.000141503i
$658$	−4.09731	−	2.97687i	−0.159730	−	0.116050i
$659$	35.2260			1.37221			0.686104	−	0.727503i	$-0.259319\pi$
$659$	35.2260			1.37221			0.686104	+	0.727503i	$0.259319\pi$
$660$	−4.13388	+	13.4208i	−0.160911	+	0.522404i
$661$	30.9201			1.20265			0.601327	−	0.799003i	$-0.294639\pi$
$661$	30.9201			1.20265			0.601327	+	0.799003i	$0.294639\pi$
$662$	18.7317	+	13.6094i	0.728029	+	0.528944i
$663$	−19.8230	−	3.03200i	−0.769863	−	0.117753i
$664$	0.799163	+	2.45957i	0.0310135	+	0.0954498i
$665$	−9.29184	−	12.7891i	−0.360322	−	0.495941i
$666$	−11.9296	+	16.7912i	−0.462261	+	0.650648i
$667$	30.3054	−	9.84681i	1.17343	−	0.381270i
$668$	4.00776	−	12.3346i	0.155065	−	0.477241i
$669$	15.4074	+	7.74782i	0.595684	+	0.299548i
$670$			2.52707i			0.0976292i
$671$	−14.7632	+	29.7095i	−0.569929	+	1.14692i
$672$	0.280020	+	1.70927i	0.0108020	+	0.0659364i
$673$	−7.02197	+	9.66491i	−0.270677	+	0.372555i	−0.922618	−	0.385715i	$-0.873955\pi$
$673$	−7.02197	+	9.66491i	−0.270677	+	0.372555i	0.651941	+	0.758270i	$0.273955\pi$
$674$	28.9289	+	9.39956i	1.11430	+	0.362057i
$675$	−3.64253	−	3.52844i	−0.140201	−	0.135810i
$676$	27.4724	−	19.9599i	1.05663	−	0.767687i
$677$	7.82771	−	5.68716i	0.300843	−	0.218575i	−0.427114	−	0.904198i	$-0.640470\pi$
$677$	7.82771	−	5.68716i	0.300843	−	0.218575i	0.727958	+	0.685622i	$0.240470\pi$
$678$	18.7458	−	9.67702i	0.719929	−	0.371644i
$679$	−0.973561	−	0.316329i	−0.0373619	−	0.0121396i
$680$	2.42773	−	3.34148i	0.0930992	−	0.128140i
$681$	5.22630	−	0.856197i	0.200272	−	0.0328095i
$682$	−1.83083	+	1.86803i	−0.0701059	+	0.0715306i
$683$		−	26.4240i		−	1.01109i	−0.862801	−	0.505544i	$-0.831292\pi$
$683$		−	26.4240i		−	1.01109i	0.862801	−	0.505544i	$-0.168708\pi$
$684$	5.79890	−	18.5130i	0.221726	−	0.707861i
$685$	−0.476274	+	1.46582i	−0.0181975	+	0.0560062i
$686$	0.951057	−	0.309017i	0.0363115	−	0.0117983i
$687$	−18.7314	+	18.9311i	−0.714646	+	0.722266i
$688$	3.62497	+	4.98935i	0.138201	+	0.190217i
$689$	−2.75942	−	8.49263i	−0.105126	−	0.323544i
$690$	−3.64321	+	23.8191i	−0.138695	+	0.906778i
$691$	24.4068	+	17.7326i	0.928479	+	0.674579i	0.945620	−	0.325274i	$-0.105456\pi$
$691$	24.4068	+	17.7326i	0.928479	+	0.674579i	−0.0171410	+	0.999853i	$0.505456\pi$
$692$	−17.0463			−0.648003
$693$	4.69936	+	8.77018i	0.178514	+	0.333151i
$694$	−27.9524			−1.06106
$695$	−2.45888	−	1.78648i	−0.0932708	−	0.0677652i
$696$	1.46632	−	9.58672i	0.0555807	−	0.363384i
$697$	−4.72056	−	14.5284i	−0.178804	−	0.550302i
$698$	9.78407	+	13.4666i	0.370332	+	0.509719i
$699$	−26.7133	+	26.9981i	−1.01039	+	1.02116i
$700$	0.928202	−	0.301591i	0.0350827	−	0.0113991i
$701$	2.36639	−	7.28299i	0.0893772	−	0.275075i	−0.896370	−	0.443306i	$-0.853806\pi$
$701$	2.36639	−	7.28299i	0.0893772	−	0.275075i	0.985748	+	0.168231i	$0.0538055\pi$
$702$	5.01002	−	35.2528i	0.189091	−	1.33053i
$703$			44.3990i			1.67454i
$704$	0.485860	−	3.28084i	0.0183115	−	0.123651i
$705$	−21.1619	+	3.46684i	−0.797003	+	0.130569i
$706$	17.3890	−	23.9340i	0.654445	−	0.900767i
$707$	−12.3194	−	4.00283i	−0.463320	−	0.150542i
$708$	−21.0569	+	10.8700i	−0.791365	+	0.408521i
$709$	−18.1988	+	13.2222i	−0.683469	+	0.496569i	−0.874507	−	0.485014i	$-0.838815\pi$
$709$	−18.1988	+	13.2222i	−0.683469	+	0.496569i	0.191038	+	0.981583i	$0.438815\pi$
$710$	−15.0129	+	10.9075i	−0.563422	+	0.409350i
$711$	25.1679	−	18.6966i	0.943871	−	0.701176i
$712$	11.2197	+	3.64551i	0.420477	+	0.136621i
$713$	−2.63803	+	3.63093i	−0.0987948	+	0.135979i
$714$	−0.473115	−	2.88793i	−0.0177059	−	0.108078i
$715$	25.7199	+	49.2472i	0.961869	+	1.84174i
$716$		−	5.54682i		−	0.207294i
$717$	−2.62349	−	1.31926i	−0.0979761	−	0.0492687i
$718$	−1.43780	+	4.42509i	−0.0536582	+	0.165143i
$719$	17.4737	−	5.67754i	0.651658	−	0.211737i	0.0355131	−	0.999369i	$-0.488693\pi$
$719$	17.4737	−	5.67754i	0.651658	−	0.211737i	0.616145	+	0.787633i	$0.288693\pi$
$720$	5.97850	+	4.24750i	0.222806	+	0.158295i
$721$	−1.67353	−	2.30341i	−0.0623254	−	0.0857835i
$722$	−7.05097	−	21.7007i	−0.262410	−	0.807615i
$723$	−46.4302	−	7.10165i	−1.72676	−	0.264113i
$724$	−12.4538	−	9.04821i	−0.462842	−	0.336274i
$725$	−5.46471			−0.202954
$726$	−3.45780	−	18.7362i	−0.128331	−	0.695364i
$727$	41.2564			1.53011			0.765057	−	0.643963i	$-0.222711\pi$
$727$	41.2564			1.53011			0.765057	+	0.643963i	$0.222711\pi$
$728$	5.54385	+	4.02784i	0.205469	+	0.149282i
$729$	−16.5570	−	21.3276i	−0.613223	−	0.789910i
$730$	−0.0861184	−	0.265045i	−0.00318738	−	0.00980976i
$731$	−6.12466	−	8.42987i	−0.226529	−	0.311790i
$732$	12.3156	+	12.1857i	0.455199	+	0.450396i
$733$	−29.2033	+	9.48872i	−1.07865	+	0.350474i	−0.793850	−	0.608114i	$-0.791926\pi$
$733$	−29.2033	+	9.48872i	−1.07865	+	0.350474i	−0.284797	+	0.958588i	$0.591926\pi$
$734$	8.06717	−	24.8282i	0.297765	−	0.916425i
$735$	1.90223	−	3.78278i	0.0701646	−	0.139530i
$736$		−	5.69092i		−	0.209770i
$737$	−1.58717	−	3.03904i	−0.0584642	−	0.111945i
$738$	25.7062	−	8.65491i	0.946258	−	0.318592i
$739$	−6.91915	+	9.52339i	−0.254525	+	0.350324i	−0.917090	−	0.398681i	$-0.869468\pi$
$739$	−6.91915	+	9.52339i	−0.254525	+	0.350324i	0.662565	+	0.749005i	$0.269468\pi$
$740$	−15.9627	−	5.18658i	−0.586799	−	0.190663i
$741$	−35.2071	−	68.2013i	−1.29336	−	2.50544i
$742$	1.05424	−	0.765951i	0.0387024	−	0.0281190i
$743$	−12.7090	+	9.23363i	−0.466248	+	0.338749i	−0.795977	−	0.605327i	$-0.793043\pi$
$743$	−12.7090	+	9.23363i	−0.466248	+	0.338749i	0.329729	+	0.944076i	$0.393043\pi$
$744$	0.626579	+	1.21378i	0.0229715	+	0.0444992i
$745$	46.2670	+	15.0331i	1.69509	+	0.550769i
$746$	11.2645	−	15.5042i	0.412422	−	0.567650i
$747$	7.35287	−	2.47561i	0.269027	−	0.0905777i
$748$	−0.820897	+	5.54323i	−0.0300150	+	0.202681i
$749$		−	7.86549i		−	0.287399i
$750$	−7.65461	+	15.2220i	−0.279507	+	0.555830i
$751$	−4.88687	+	15.0402i	−0.178325	+	0.548826i	−0.999770	−	0.0214610i	$-0.993168\pi$
$751$	−4.88687	+	15.0402i	−0.178325	+	0.548826i	0.821445	+	0.570288i	$0.193168\pi$
$752$	4.81667	−	1.56503i	0.175646	−	0.0570708i
$753$	28.8445	+	28.5402i	1.05115	+	1.04006i
$754$	−22.5530	−	31.0415i	−0.821330	−	1.13046i
$755$	4.73171	+	14.5627i	0.172204	+	0.529991i
$756$	5.11860	−	0.894394i	0.186162	−	0.0325288i
$757$	31.5210	+	22.9013i	1.14565	+	0.832363i	0.987896	−	0.155115i	$-0.0495749\pi$
$757$	31.5210	+	22.9013i	1.14565	+	0.832363i	0.157753	+	0.987479i	$0.449575\pi$
$758$	2.63289			0.0956310
$759$	−10.5787	−	30.9329i	−0.383983	−	1.12279i
$760$	15.8082			0.573424
$761$	30.5972	+	22.2302i	1.10915	+	0.805843i	0.982529	−	0.186109i	$-0.0595878\pi$
$761$	30.5972	+	22.2302i	1.10915	+	0.805843i	0.126618	+	0.991952i	$0.459588\pi$
$762$	13.4269	+	2.05369i	0.486405	+	0.0743973i
$763$	3.01248	+	9.27147i	0.109059	+	0.335650i
$764$	6.53593	+	8.99593i	0.236462	+	0.325462i
$765$	−10.1011	−	7.17647i	−0.365207	−	0.259466i
$766$	−9.84243	+	3.19800i	−0.355621	+	0.115548i
$767$	−28.9714	+	89.1647i	−1.04610	+	3.21955i
$768$	−1.54742	−	0.778140i	−0.0558376	−	0.0280787i
$769$			3.68574i			0.132911i	0.997789	+	0.0664557i	$0.0211691\pi$
$769$			3.68574i			0.132911i	−0.997789	+	0.0664557i	$0.978831\pi$
$770$	−5.67509	+	5.79042i	−0.204516	+	0.208672i
$771$	3.30235	+	20.1578i	0.118931	+	0.725967i
$772$	7.60485	−	10.4672i	0.273705	−	0.376722i
$773$	−9.39362	−	3.05217i	−0.337865	−	0.109779i	0.135170	−	0.990822i	$-0.456842\pi$
$773$	−9.39362	−	3.05217i	−0.337865	−	0.109779i	−0.473036	+	0.881043i	$0.656842\pi$
$774$	14.8519	−	11.0330i	0.533839	−	0.396574i
$775$	0.622690	−	0.452411i	0.0223677	−	0.0162511i
$776$	0.828161	−	0.601694i	0.0297292	−	0.0215996i
$777$	−10.5671	+	5.45497i	−0.379092	+	0.195696i
$778$	−12.7308	−	4.13649i	−0.456422	−	0.148301i
$779$	34.3662	−	47.3010i	1.23130	−	1.69473i
$780$	28.6330	−	4.69080i	1.02523	−	0.167958i
$781$	11.2038	−	22.5464i	0.400902	−	0.806773i
$782$			9.61523i			0.343840i
$783$	−28.8052	−	4.09371i	−1.02941	−	0.146297i
$784$	−0.309017	+	0.951057i	−0.0110363	+	0.0339663i
$785$	−30.7976	+	10.0068i	−1.09921	+	0.357157i
$786$	20.7429	−	20.9641i	0.739876	−	0.747764i
$787$	−14.0841	−	19.3852i	−0.502046	−	0.691007i	0.480507	−	0.876991i	$-0.340453\pi$
$787$	−14.0841	−	19.3852i	−0.502046	−	0.691007i	−0.982553	+	0.185984i	$0.940453\pi$
$788$	4.83469	+	14.8797i	0.172229	+	0.530066i
$789$	−5.18743	+	33.9151i	−0.184677	+	1.20741i
$790$	20.6688	+	15.0167i	0.735361	+	0.534271i
$791$	12.1799			0.433068
$792$	−9.85744	−	1.35312i	−0.350269	−	0.0480809i
$793$	68.5447			2.43409
$794$	−7.73273	−	5.61816i	−0.274424	−	0.199381i
$795$	0.834227	−	5.45413i	0.0295870	−	0.193438i
$796$	3.68184	+	11.3315i	0.130499	+	0.401636i
$797$	−3.78402	−	5.20826i	−0.134037	−	0.184486i	0.736723	−	0.676195i	$-0.236372\pi$
$797$	−3.78402	−	5.20826i	−0.134037	−	0.184486i	−0.870760	+	0.491709i	$0.836372\pi$
$798$	7.87788	−	7.96187i	0.278874	−	0.281847i
$799$	−8.13813	+	2.64424i	−0.287906	+	0.0935464i
$800$	−0.301591	+	0.928202i	−0.0106629	+	0.0328169i
$801$	10.5789	−	33.7732i	0.373789	−	1.19332i
$802$			19.4472i			0.686704i
$803$	0.270032	+	0.264654i	0.00952922	+	0.00933943i
$804$	−1.76694	+	0.289469i	−0.0623152	+	0.0102088i
$805$	−8.17721	+	11.2550i	−0.288209	+	0.396685i
$806$	5.13970	+	1.66999i	0.181038	+	0.0588229i
$807$	−36.8587	+	19.0273i	−1.29749	+	0.669794i
$808$	10.4795	−	7.61383i	0.368669	−	0.267854i
$809$	−25.9234	+	18.8345i	−0.911419	+	0.662184i	−0.941373	−	0.337367i	$-0.890464\pi$
$809$	−25.9234	+	18.8345i	−0.911419	+	0.662184i	0.0299547	+	0.999551i	$0.490464\pi$
$810$	12.5516	−	18.0696i	0.441017	−	0.634902i
$811$	−0.324068	−	0.105296i	−0.0113796	−	0.00369744i	0.303322	−	0.952888i	$-0.401904\pi$
$811$	−0.324068	−	0.105296i	−0.0113796	−	0.00369744i	−0.314701	+	0.949191i	$0.601904\pi$
$812$	3.29117	−	4.52990i	0.115497	−	0.158968i
$813$	6.20838	+	37.8965i	0.217737	+	1.32909i
$814$	22.4542	−	3.78828i	0.787018	−	0.132779i
$815$			17.8500i			0.625259i
$816$	2.61448	+	1.31473i	0.0915249	+	0.0460246i
$817$	12.3239	−	37.9290i	0.431157	−	1.32697i
$818$	3.46320	−	1.12526i	0.121088	−	0.0393438i
$819$	11.9065	−	16.7588i	0.416046	−	0.585598i
$820$	12.9914	+	17.8812i	0.453680	+	0.624437i
$821$	14.3461	+	44.1526i	0.500681	+	1.54094i	0.807912	+	0.589303i	$0.200597\pi$
$821$	14.3461	+	44.1526i	0.500681	+	1.54094i	−0.307231	+	0.951635i	$0.599403\pi$
$822$	−1.07947	−	0.165108i	−0.0376508	−	0.00575881i
$823$	−1.73949	−	1.26382i	−0.0606350	−	0.0440539i	0.557055	−	0.830476i	$-0.311931\pi$
$823$	−1.73949	−	1.26382i	−0.0606350	−	0.0440539i	−0.617690	+	0.786422i	$0.711931\pi$
$824$	2.84717			0.0991860
$825$	0.0861177	+	5.60586i	0.00299823	+	0.195171i
$826$	−13.6815			−0.476039
$827$	4.99138	+	3.62645i	0.173567	+	0.126104i	0.671177	−	0.741297i	$-0.265789\pi$
$827$	4.99138	+	3.62645i	0.173567	+	0.126104i	−0.497610	+	0.867401i	$0.665789\pi$
$828$	−17.0718	+	0.181059i	−0.593286	+	0.00629223i
$829$	−4.42631	−	13.6228i	−0.153732	−	0.473139i	0.844298	−	0.535874i	$-0.180018\pi$
$829$	−4.42631	−	13.6228i	−0.153732	−	0.473139i	−0.998030	+	0.0627351i	$0.980018\pi$
$830$	3.71600	+	5.11464i	0.128984	+	0.177532i
$831$	−26.9389	−	26.6547i	−0.934501	−	0.924643i
$832$	−6.51718	+	2.11756i	−0.225943	+	0.0734132i
$833$	0.522107	−	1.60688i	0.0180899	−	0.0556751i
$834$	0.967462	−	1.92390i	0.0335005	−	0.0666193i
$835$		−	31.7047i		−	1.09719i
$836$	−19.0109	+	9.92864i	−0.657505	+	0.343389i
$837$	3.62119	−	1.91825i	0.125167	−	0.0663043i
$838$	−12.8140	+	17.6370i	−0.442653	+	0.609260i
$839$	29.8415	+	9.69608i	1.03024	+	0.334746i	0.774886	−	0.632101i	$-0.217807\pi$
$839$	29.8415	+	9.69608i	1.03024	+	0.334746i	0.255356	+	0.966847i	$0.417807\pi$
$840$	1.94224	+	3.76240i	0.0670135	+	0.129815i
$841$	−1.90262	+	1.38234i	−0.0656076	+	0.0476667i
$842$	12.6049	−	9.15802i	0.434395	−	0.315606i
$843$	−2.86730	−	5.55438i	−0.0987550	−	0.191303i
$844$	−7.79074	−	2.53136i	−0.268168	−	0.0871332i
$845$	48.7935	−	67.1585i	1.67855	−	2.31032i
$846$	−4.84807	−	14.3994i	−0.166680	−	0.495062i
$847$	3.18806	−	10.5279i	0.109543	−	0.361742i
$848$			1.30311i			0.0447491i
$849$	5.45445	−	10.8468i	0.187196	−	0.372260i
$850$	0.509561	−	1.56827i	0.0174778	−	0.0537911i
$851$	37.1607	−	12.0742i	1.27385	−	0.413899i
$852$	−9.34626	−	9.24766i	−0.320198	−	0.316820i
$853$	13.5038	+	18.5863i	0.462360	+	0.636384i	0.974996	−	0.222222i	$-0.0713311\pi$
$853$	13.5038	+	18.5863i	0.462360	+	0.636384i	−0.512636	+	0.858606i	$0.671331\pi$
$854$	3.09102	+	9.51319i	0.105773	+	0.325535i
$855$	−0.502945	−	47.4220i	−0.0172004	−	1.62180i
$856$	6.36332	+	4.62322i	0.217494	+	0.158018i
$857$	−26.1192			−0.892216			−0.446108	−	0.894979i	$-0.647190\pi$
$857$	−26.1192			−0.892216			−0.446108	+	0.894979i	$0.647190\pi$
$858$	−31.4878	+	23.6246i	−1.07498	+	0.806532i
$859$	−11.6855			−0.398704			−0.199352	−	0.979928i	$-0.563884\pi$
$859$	−11.6855			−0.398704			−0.199352	+	0.979928i	$0.563884\pi$
$860$	12.1969	+	8.86153i	0.415909	+	0.302176i
$861$	15.4801	+	2.36773i	0.527559	+	0.0806919i
$862$	−5.13390	−	15.8005i	−0.174861	−	0.538167i
$863$	−7.14496	−	9.83420i	−0.243217	−	0.334760i	0.669904	−	0.742448i	$-0.266335\pi$
$863$	−7.14496	−	9.83420i	−0.243217	−	0.334760i	−0.913121	+	0.407688i	$0.866335\pi$
$864$	−2.28506	+	4.66675i	−0.0777392	+	0.158766i
$865$	−39.6315	+	12.8770i	−1.34751	+	0.437833i
$866$	2.90462	−	8.93950i	0.0987030	−	0.303777i
$867$	21.8887	+	11.0071i	0.743380	+	0.373819i
$868$			0.788639i			0.0267681i
$869$	−34.2877	−	5.07766i	−1.16313	−	0.172248i
$870$	−3.83287	−	23.3962i	−0.129947	−	0.793204i
$871$	−4.16375	+	5.73092i	−0.141083	+	0.194185i
$872$	−9.27147	−	3.01248i	−0.313972	−	0.102016i
$873$	−1.83133	−	2.46520i	−0.0619811	−	0.0834344i
$874$	−29.7727	+	21.6311i	−1.00708	+	0.731684i
$875$	−7.95835	+	5.78208i	−0.269041	+	0.195470i
$876$	0.175457	−	0.0905747i	0.00592813	−	0.00306024i
$877$	−35.9116	−	11.6684i	−1.21265	−	0.394013i	−0.368248	−	0.929728i	$-0.620042\pi$
$877$	−35.9116	−	11.6684i	−1.21265	−	0.394013i	−0.844399	+	0.535715i	$0.820042\pi$
$878$	−4.54870	+	6.26075i	−0.153511	+	0.211290i
$879$	25.8338	−	4.23221i	0.871351	−	0.142749i
$880$	−1.34881	−	7.99477i	−0.0454684	−	0.269504i
$881$			3.27777i			0.110431i	0.998474	+	0.0552154i	$0.0175846\pi$
$881$			3.27777i			0.110431i	−0.998474	+	0.0552154i	$0.982415\pi$
$882$	2.86284	+	0.896741i	0.0963969	+	0.0301948i
$883$	−14.5064	+	44.6461i	−0.488180	+	1.50246i	0.339143	+	0.940735i	$0.389863\pi$
$883$	−14.5064	+	44.6461i	−0.488180	+	1.50246i	−0.827322	+	0.561727i	$0.810137\pi$
$884$	11.0113	−	3.57778i	0.370349	−	0.120334i
$885$	−40.7444	+	41.1788i	−1.36961	+	1.38421i
$886$	7.64230	+	10.5187i	0.256748	+	0.353384i
$887$	−6.27720	−	19.3192i	−0.210768	−	0.648676i	−0.999427	−	0.0338460i	$-0.989224\pi$
$887$	−6.27720	−	19.3192i	−0.210768	−	0.648676i	0.788659	−	0.614830i	$-0.210776\pi$
$888$	1.79801	−	11.7553i	0.0603373	−	0.394482i
$889$	6.34446	+	4.60952i	0.212786	+	0.154598i
$890$	28.8390			0.966684
$891$	−3.74550	+	29.6137i	−0.125479	+	0.992096i
$892$	−9.95684			−0.333380
$893$	−26.4958	−	19.2503i	−0.886648	−	0.644188i
$894$	−5.21146	+	34.0722i	−0.174297	+	1.13955i
$895$	−4.19016	−	12.8960i	−0.140062	−	0.431065i
$896$	−0.587785	−	0.809017i	−0.0196365	−	0.0270274i
$897$	−47.5079	+	48.0145i	−1.58624	+	1.60316i
$898$	−2.17843	+	0.707814i	−0.0726951	+	0.0236201i
$899$	1.36456	−	4.19967i	0.0455105	−	0.140067i
$900$	2.79404	+	0.875191i	0.0931348	+	0.0291730i
$901$		−	2.20171i		−	0.0733495i
$902$	−26.8540	−	13.3443i	−0.894141	−	0.444317i
$903$	10.5413	−	1.72693i	0.350794	−	0.0574687i
$904$	−7.15917	+	9.85375i	−0.238111	+	0.327731i
$905$	−35.7894	−	11.6287i	−1.18968	−	0.386551i
$906$	−9.64032	+	4.97656i	−0.320278	+	0.165335i
$907$	−26.2280	+	19.0557i	−0.870885	+	0.632735i	−0.930824	−	0.365467i	$-0.880909\pi$
$907$	−26.2280	+	19.0557i	−0.870885	+	0.632735i	0.0599389	+	0.998202i	$0.480909\pi$
$908$	−2.47367	+	1.79723i	−0.0820917	+	0.0596431i
$909$	−23.1736	−	31.1946i	−0.768620	−	1.03466i
$910$	15.9318	+	5.17655i	0.528133	+	0.171601i
$911$	21.0081	−	28.9151i	0.696028	−	0.958001i	−0.303957	−	0.952686i	$-0.598308\pi$
$911$	21.0081	−	28.9151i	0.696028	−	0.958001i	0.999986	−	0.00531529i	$-0.00169192\pi$
$912$	1.81079	+	11.0532i	0.0599612	+	0.366008i
$913$	−7.68118	−	3.81694i	−0.254210	−	0.126322i
$914$			0.00423683i			0.000140142i
$915$	37.8383	+	19.0275i	1.25089	+	0.629030i
$916$	4.75140	−	14.6233i	0.156991	−	0.483167i
$917$	16.1937	−	5.26165i	0.534763	−	0.173755i
$918$	3.86077	−	7.88481i	0.127425	−	0.260238i
$919$	9.13863	+	12.5782i	0.301455	+	0.414918i	0.932693	−	0.360672i	$-0.117453\pi$
$919$	9.13863	+	12.5782i	0.301455	+	0.414918i	−0.631237	+	0.775590i	$0.717453\pi$
$920$	−4.29901	−	13.2310i	−0.141734	−	0.436213i
$921$	−4.76863	−	0.729378i	−0.157132	−	0.0240338i
$922$	−2.87426	−	2.08827i	−0.0946586	−	0.0687735i
$923$	−52.0182			−1.71220
$924$	−4.69877	−	3.30478i	−0.154578	−	0.108719i
$925$	−6.70087			−0.220323
$926$	−10.4922	−	7.62304i	−0.344795	−	0.250509i
$927$	−0.0905841	−	8.54104i	−0.00297517	−	0.280525i
$928$	1.73027	+	5.32522i	0.0567988	+	0.174809i
$929$	14.7725	+	20.3326i	0.484671	+	0.667092i	0.979394	−	0.201958i	$-0.0647305\pi$
$929$	14.7725	+	20.3326i	0.484671	+	0.667092i	−0.494723	+	0.869051i	$0.664731\pi$
$930$	2.37366	+	2.34862i	0.0778354	+	0.0770143i
$931$	6.15014	−	1.99830i	0.201563	−	0.0654917i
$932$	6.77610	−	20.8547i	0.221959	−	0.683118i
$933$	−1.31645	+	2.61791i	−0.0430987	+	0.0857064i
$934$			0.149219i			0.00488258i
$935$	2.27892	+	13.5078i	0.0745286	+	0.441751i
$936$	6.55967	+	19.4831i	0.214410	+	0.636824i
$937$	−11.0094	+	15.1532i	−0.359662	+	0.495033i	−0.950055	−	0.312084i	$-0.898973\pi$
$937$	−11.0094	+	15.1532i	−0.359662	+	0.495033i	0.590392	+	0.807116i	$0.298973\pi$
$938$	−0.983149	−	0.319444i	−0.0321009	−	0.0104302i
$939$	2.79138	+	5.40731i	0.0910932	+	0.176461i
$940$	10.0162	−	7.27719i	0.326692	−	0.237356i
$941$	−15.7918	+	11.4734i	−0.514798	+	0.374022i	−0.814641	−	0.579966i	$-0.803066\pi$
$941$	−15.7918	+	11.4734i	−0.514798	+	0.374022i	0.299843	+	0.953989i	$0.403066\pi$
$942$	−10.5246	−	20.3877i	−0.342909	−	0.664266i
$943$	−48.9353	−	15.9000i	−1.59355	−	0.517777i
$944$	8.04177	−	11.0685i	0.261737	−	0.360251i
$945$	11.2248	−	5.94608i	0.365142	−	0.193426i
$946$	−20.2335	−	2.99638i	−0.657849	−	0.0974208i
$947$		−	26.6868i		−	0.867205i	−0.901104	−	0.433602i	$-0.857242\pi$
$947$		−	26.6868i		−	0.867205i	0.901104	−	0.433602i	$-0.142758\pi$
$948$	−8.13224	+	16.1719i	−0.264123	+	0.525237i
$949$	0.241405	−	0.742967i	0.00783632	−	0.0241177i
$950$	6.00235	−	1.95028i	0.194742	−	0.0632755i
$951$	−13.0612	−	12.9234i	−0.423538	−	0.419070i
$952$	0.993107	+	1.36689i	0.0321868	+	0.0443013i
$953$	0.522708	+	1.60873i	0.0169322	+	0.0521119i	0.959166	−	0.282845i	$-0.0912782\pi$
$953$	0.522708	+	1.60873i	0.0169322	+	0.0521119i	−0.942233	+	0.334957i	$0.891278\pi$
$954$	3.90912	−	0.0414591i	0.126563	−	0.00134229i
$955$	21.9913	+	15.9776i	0.711621	+	0.517023i
$956$	1.69540			0.0548332
$957$	19.3038	+	25.7288i	0.624003	+	0.831695i
$958$	−14.9441			−0.482822
$959$	−0.510068	−	0.370586i	−0.0164710	−	0.0119669i
$960$	−4.18546	−	0.640180i	−0.135085	−	0.0206617i
$961$	−9.38733	−	28.8912i	−0.302817	−	0.931976i
$962$	−27.6546	−	38.0633i	−0.891620	−	1.22721i
$963$	13.6664	−	19.2360i	0.440395	−	0.619870i
$964$	25.7910	−	8.38000i	0.830671	−	0.269901i
$965$	9.77369	−	30.0803i	0.314626	−	0.968320i
$966$	−8.80622	−	4.42833i	−0.283335	−	0.142479i
$967$		−	40.5364i		−	1.30356i	−0.758406	−	0.651782i	$-0.774022\pi$
$967$		−	40.5364i		−	1.30356i	0.758406	−	0.651782i	$-0.225978\pi$
$968$	6.64334	+	8.76733i	0.213525	+	0.281793i
$969$	−3.05946	−	18.6752i	−0.0982841	−	0.599934i
$970$	1.47089	−	2.02450i	0.0472274	−	0.0650029i
$971$	−51.2857	−	16.6637i	−1.64584	−	0.534764i	−0.668004	−	0.744158i	$-0.732851\pi$
$971$	−51.2857	−	16.6637i	−1.64584	−	0.534764i	−0.977832	+	0.209393i	$0.932851\pi$
$972$	14.0721	+	6.70631i	0.451364	+	0.215105i
$973$	1.00585	−	0.730794i	0.0322461	−	0.0234282i
$974$	27.1544	−	19.7288i	0.870084	−	0.632153i
$975$	10.2932	−	5.31358i	0.329646	−	0.170171i
$976$	−9.51319	−	3.09102i	−0.304510	−	0.0989413i
$977$	3.31542	−	4.56329i	0.106070	−	0.145992i	−0.752682	−	0.658384i	$-0.771240\pi$
$977$	3.31542	−	4.56329i	0.106070	−	0.145992i	0.858752	+	0.512391i	$0.171240\pi$
$978$	−12.4809	+	2.04467i	−0.399094	+	0.0653814i
$979$	−34.6816	+	18.1128i	−1.10843	+	0.578889i
$980$			2.44458i			0.0780892i
$981$	−8.74197	+	27.9087i	−0.279110	+	0.891056i
$982$	4.19669	−	12.9161i	0.133922	−	0.412169i
$983$	23.8404	−	7.74622i	0.760391	−	0.247066i	0.0969448	−	0.995290i	$-0.469093\pi$
$983$	23.8404	−	7.74622i	0.760391	−	0.247066i	0.663447	+	0.748224i	$0.269093\pi$
$984$	−11.0145	+	11.1319i	−0.351129	+	0.354873i
$985$	22.4807	+	30.9420i	0.716294	+	0.985894i
$986$	−2.92342	−	8.99735i	−0.0931006	−	0.286534i
$987$	1.32629	−	8.67121i	0.0422163	−	0.276008i
$988$	35.8501	+	26.0466i	1.14054	+	0.828653i
$989$	−35.0968			−1.11601
$990$	−23.9401	+	4.30057i	−0.760865	+	0.136681i
$991$	57.1725			1.81615			0.908073	−	0.418812i	$-0.137553\pi$
$991$	57.1725			1.81615			0.908073	+	0.418812i	$0.137553\pi$
$992$	−0.638022	−	0.463550i	−0.0202572	−	0.0147177i
$993$	−6.06342	+	39.6423i	−0.192417	+	1.25801i
$994$	−2.34576	−	7.21951i	−0.0744030	−	0.228989i
$995$	17.1201	+	23.5638i	0.542743	+	0.747021i
$996$	−3.15053	+	3.18412i	−0.0998283	+	0.100893i
$997$	48.2832	−	15.6882i	1.52914	−	0.496849i	0.580788	−	0.814055i	$-0.302745\pi$
$997$	48.2832	−	15.6882i	1.52914	−	0.496849i	0.948357	+	0.317206i	$0.102745\pi$
$998$	−10.2184	+	31.4489i	−0.323457	+	0.995498i
$999$	−35.3211	−	5.01973i	−1.11751	−	0.158817i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.29.7	✓	48
3.2	odd	2		462.2.w.b.29.8	yes	48
11.8	odd	10		462.2.w.b.239.8	yes	48
33.8	even	10	inner	462.2.w.a.239.7	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.7	✓	48	1.1	even	1	trivial
462.2.w.a.239.7	yes	48	33.8	even	10	inner
462.2.w.b.29.8	yes	48	3.2	odd	2
462.2.w.b.239.8	yes	48	11.8	odd	10

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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(0.261877 - 1.71214i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.43689 + 1.97771i) q^{5} +(-1.21823 + 1.23122i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86284 - 0.896741i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(0.261877 - 1.71214i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.43689 + 1.97771i) q^{5} +(-1.21823 + 1.23122i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86284 - 0.896741i) q^{9} -2.44458i q^{10} +(1.53536 + 2.93984i) q^{11} +(1.70927 - 0.280020i) q^{12} +(4.02784 - 5.54385i) q^{13} +(0.951057 + 0.309017i) q^{14} +(3.76240 - 1.94224i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.36689 - 0.993107i) q^{17} +(1.78900 + 2.40821i) q^{18} +(6.15014 + 1.99830i) q^{19} +(-1.43689 + 1.97771i) q^{20} +(0.280020 + 1.70927i) q^{21} +(0.485860 - 3.28084i) q^{22} -5.69092i q^{23} +(-1.54742 - 0.778140i) q^{24} +(-0.301591 + 0.928202i) q^{25} +(-6.51718 + 2.11756i) q^{26} +(-2.28506 + 4.66675i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(1.73027 + 5.32522i) q^{29} +(-4.18546 - 0.640180i) q^{30} +(-0.638022 - 0.463550i) q^{31} +1.00000 q^{32} +(5.43549 - 1.85888i) q^{33} -1.68957 q^{34} +(-1.97771 - 1.43689i) q^{35} +(-0.0318154 - 2.99983i) q^{36} +(2.12167 + 6.52982i) q^{37} +(-3.80100 - 5.23162i) q^{38} +(-8.43704 - 8.34803i) q^{39} +(2.32493 - 0.755417i) q^{40} +(2.79393 - 8.59884i) q^{41} +(0.778140 - 1.54742i) q^{42} -6.16717i q^{43} +(-2.32150 + 2.36868i) q^{44} +(-2.34009 - 6.95037i) q^{45} +(-3.34504 + 4.60405i) q^{46} +(-4.81667 - 1.56503i) q^{47} +(0.794507 + 1.53908i) q^{48} +(0.809017 - 0.587785i) q^{49} +(0.789576 - 0.573660i) q^{50} +(-1.34238 - 2.60039i) q^{51} +(6.51718 + 2.11756i) q^{52} +(0.765951 - 1.05424i) q^{53} +(4.59169 - 2.43235i) q^{54} +(-3.60800 + 7.26072i) q^{55} +1.00000i q^{56} +(5.03195 - 10.0066i) q^{57} +(1.73027 - 5.32522i) q^{58} +(-13.0119 + 4.22781i) q^{59} +(3.00982 + 2.97807i) q^{60} +(5.87948 + 8.09241i) q^{61} +(0.243703 + 0.750040i) q^{62} +(2.99983 - 0.0318154i) q^{63} +(-0.809017 - 0.587785i) q^{64} +16.7517 q^{65} +(-5.49003 - 1.69104i) q^{66} -1.03374 q^{67} +(1.36689 + 0.993107i) q^{68} +(-9.74364 - 1.49032i) q^{69} +(0.755417 + 2.32493i) q^{70} +(-4.46190 - 6.14128i) q^{71} +(-1.73752 + 2.44562i) q^{72} +(0.108422 - 0.0352283i) q^{73} +(2.12167 - 6.52982i) q^{74} +(1.51023 + 0.759441i) q^{75} +6.46664i q^{76} +(-2.36868 - 2.32150i) q^{77} +(1.91886 + 11.7129i) q^{78} +(-6.14287 + 8.45493i) q^{79} +(-2.32493 - 0.755417i) q^{80} +(7.39171 + 5.13445i) q^{81} +(-7.31461 + 5.31438i) q^{82} +(-2.09224 + 1.52010i) q^{83} +(-1.53908 + 0.794507i) q^{84} +(3.92815 + 1.27633i) q^{85} +(-3.62497 + 4.98935i) q^{86} +(9.57063 - 1.56791i) q^{87} +(3.27041 - 0.551756i) q^{88} +11.7971i q^{89} +(-2.19215 + 6.99844i) q^{90} +(-2.11756 + 6.51718i) q^{91} +(5.41238 - 1.75859i) q^{92} +(-0.960746 + 0.970989i) q^{93} +(2.97687 + 4.09731i) q^{94} +(4.88501 + 15.0345i) q^{95} +(0.261877 - 1.71214i) q^{96} +(0.828161 + 0.601694i) q^{97} -1.00000 q^{98} +(-1.75923 - 9.79312i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

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