LMFDB - Embedded newform 462.2.w.b.29.8

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			29.8
Character	$\chi$	$=$	462.29
Dual form			462.2.w.b.239.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(0.794507 - 1.53908i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.43689 - 1.97771i) q^{5} +(1.54742 - 0.778140i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.73752 - 2.44562i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(0.794507 - 1.53908i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.43689 - 1.97771i) q^{5} +(1.54742 - 0.778140i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.73752 - 2.44562i) 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} +(-4.18546 + 0.640180i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.36689 + 0.993107i) q^{17} +(0.0318154 - 2.99983i) 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} +(1.21823 + 1.23122i) q^{24} +(-0.301591 + 0.928202i) q^{25} +(6.51718 - 2.11756i) q^{26} +(-5.14446 + 0.731115i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(-1.73027 - 5.32522i) q^{29} +(-3.76240 - 1.94224i) q^{30} +(-0.638022 - 0.463550i) q^{31} -1.00000 q^{32} +(-5.74450 + 0.0273184i) q^{33} -1.68957 q^{34} +(1.97771 + 1.43689i) q^{35} +(1.78900 - 2.40821i) q^{36} +(2.12167 + 6.52982i) q^{37} +(3.80100 + 5.23162i) q^{38} +(-5.33226 - 10.6038i) q^{39} +(2.32493 - 0.755417i) q^{40} +(-2.79393 + 8.59884i) q^{41} +(-1.23122 + 1.21823i) 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} +(0.261877 + 1.71214i) q^{48} +(0.809017 - 0.587785i) q^{49} +(-0.789576 + 0.573660i) q^{50} +(0.442461 + 2.89279i) 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} +(7.96187 - 7.87788i) q^{57} +(1.73027 - 5.32522i) q^{58} +(13.0119 - 4.22781i) q^{59} +(-1.90223 - 3.78278i) q^{60} +(5.87948 + 8.09241i) q^{61} +(-0.243703 - 0.750040i) q^{62} +(2.40821 + 1.78900i) q^{63} +(-0.809017 - 0.587785i) q^{64} -16.7517 q^{65} +(-4.66345 - 3.35443i) q^{66} -1.03374 q^{67} +(-1.36689 - 0.993107i) q^{68} +(8.75876 + 4.52147i) q^{69} +(0.755417 + 2.32493i) q^{70} +(4.46190 + 6.14128i) q^{71} +(2.86284 - 0.896741i) q^{72} +(0.108422 - 0.0352283i) q^{73} +(-2.12167 + 6.52982i) q^{74} +(1.18896 + 1.20163i) 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} +(-2.96207 + 8.49860i) q^{81} +(-7.31461 + 5.31438i) q^{82} +(2.09224 - 1.52010i) q^{83} +(-1.71214 + 0.261877i) 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} +(-5.97850 + 4.24750i) q^{90} +(-2.11756 + 6.51718i) q^{91} +(-5.41238 + 1.75859i) q^{92} +(-1.22035 + 0.613671i) q^{93} +(2.97687 + 4.09731i) q^{94} +(-4.88501 - 15.0345i) q^{95} +(-0.794507 + 1.53908i) q^{96} +(0.828161 + 0.601694i) q^{97} +1.00000 q^{98} +(-4.52200 + 8.86293i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * 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
$3$	0.794507	−	1.53908i	0.458709	−	0.888587i
$3$	0.794507	−	1.53908i	0.458709	−	0.888587i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−1.43689	−	1.97771i	−0.642596	−	0.884457i	0.356155	−	0.934427i	$-0.384088\pi$
$5$	−1.43689	−	1.97771i	−0.642596	−	0.884457i	−0.998751	+	0.0499697i	$0.984088\pi$
$6$	1.54742	−	0.778140i	0.631730	−	0.317674i
$7$	−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
$9$	−1.73752	−	2.44562i	−0.579172	−	0.815205i
$10$		−	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
$15$	−4.18546	+	0.640180i	−1.08068	+	0.165294i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−1.36689	+	0.993107i	−0.331521	+	0.240864i	−0.741076	−	0.671422i	$-0.765684\pi$
$17$	−1.36689	+	0.993107i	−0.331521	+	0.240864i	0.409555	+	0.912285i	$0.365684\pi$
$18$	0.0318154	−	2.99983i	0.00749897	−	0.707067i
$19$	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	$0.202183\pi$
$23$			5.69092i			1.18664i	−0.804967	+	0.593319i	$0.797817\pi$
$24$	1.21823	+	1.23122i	0.248671	+	0.251322i
$25$	−0.301591	+	0.928202i	−0.0603182	+	0.185640i
$26$	6.51718	−	2.11756i	1.27812	−	0.415288i
$27$	−5.14446	+	0.731115i	−0.990052	+	0.140703i
$28$	−0.587785	−	0.809017i	−0.111081	−	0.152890i
$29$	−1.73027	−	5.32522i	−0.321303	−	0.988868i	−0.973082	−	0.230459i	$-0.925977\pi$
$29$	−1.73027	−	5.32522i	−0.321303	−	0.988868i	0.651779	−	0.758409i	$-0.274023\pi$
$30$	−3.76240	−	1.94224i	−0.686917	−	0.354602i
$31$	−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
$33$	−5.74450	+	0.0273184i	−0.999989	+	0.00475553i
$34$	−1.68957			−0.289760
$35$	1.97771	+	1.43689i	0.334293	+	0.242878i
$36$	1.78900	−	2.40821i	0.298166	−	0.401369i
$37$	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
$39$	−5.33226	−	10.6038i	−0.853845	−	1.69796i
$40$	2.32493	−	0.755417i	0.367604	−	0.119442i
$41$	−2.79393	+	8.59884i	−0.436339	+	1.34291i	0.455369	+	0.890303i	$0.349507\pi$
$41$	−2.79393	+	8.59884i	−0.436339	+	1.34291i	−0.891708	+	0.452611i	$0.850493\pi$
$42$	−1.23122	+	1.21823i	−0.189982	+	0.187977i
$43$		−	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	0.638456	−	0.769658i	$-0.279573\pi$
$47$	4.81667	+	1.56503i	0.702584	+	0.228283i	0.0641278	+	0.997942i	$0.479573\pi$
$48$	0.261877	+	1.71214i	0.0377987	+	0.247126i
$49$	0.809017	−	0.587785i	0.115574	−	0.0839693i
$50$	−0.789576	+	0.573660i	−0.111663	+	0.0811278i
$51$	0.442461	+	2.89279i	0.0619569	+	0.405071i
$52$	6.51718	+	2.11756i	0.903771	+	0.293653i
$53$	−0.765951	+	1.05424i	−0.105212	+	0.144811i	−0.858376	−	0.513021i	$-0.828526\pi$
$53$	−0.765951	+	1.05424i	−0.105212	+	0.144811i	0.753165	+	0.657832i	$0.228526\pi$
$54$	−4.59169	−	2.43235i	−0.624850	−	0.331001i
$55$	−3.60800	+	7.26072i	−0.486502	+	0.979035i
$56$		−	1.00000i		−	0.133631i
$57$	7.96187	−	7.87788i	1.05458	−	1.04345i
$58$	1.73027	−	5.32522i	0.227195	−	0.699235i
$59$	13.0119	−	4.22781i	1.69400	−	0.550414i	0.706456	−	0.707757i	$-0.250293\pi$
$59$	13.0119	−	4.22781i	1.69400	−	0.550414i	0.987544	+	0.157343i	$0.0502930\pi$
$60$	−1.90223	−	3.78278i	−0.245576	−	0.488355i
$61$	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
$63$	2.40821	+	1.78900i	0.303406	+	0.225392i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−16.7517			−2.07779
$66$	−4.66345	−	3.35443i	−0.574031	−	0.412902i
$67$	−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
$69$	8.75876	+	4.52147i	1.05443	+	0.544321i
$70$	0.755417	+	2.32493i	0.0902896	+	0.277883i
$71$	4.46190	+	6.14128i	0.529531	+	0.728836i	0.987059	−	0.160359i	$-0.0512651\pi$
$71$	4.46190	+	6.14128i	0.529531	+	0.728836i	−0.457528	+	0.889195i	$0.651265\pi$
$72$	2.86284	−	0.896741i	0.337389	−	0.105682i
$73$	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
$75$	1.18896	+	1.20163i	0.137289	+	0.138753i
$76$			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
$81$	−2.96207	+	8.49860i	−0.329119	+	0.944289i
$82$	−7.31461	+	5.31438i	−0.807764	+	0.586875i
$83$	2.09224	−	1.52010i	0.229653	−	0.166852i	−0.467008	−	0.884253i	$-0.654668\pi$
$83$	2.09224	−	1.52010i	0.229653	−	0.166852i	0.696661	+	0.717401i	$0.254668\pi$
$84$	−1.71214	+	0.261877i	−0.186810	+	0.0285732i
$85$	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	$-0.784999\pi$
$89$		−	11.7971i		−	1.25049i	0.780428	−	0.625245i	$-0.215001\pi$
$90$	−5.97850	+	4.24750i	−0.630189	+	0.447726i
$91$	−2.11756	+	6.51718i	−0.221981	+	0.683187i
$92$	−5.41238	+	1.75859i	−0.564280	+	0.183346i
$93$	−1.22035	+	0.613671i	−0.126545	+	0.0636348i
$94$	2.97687	+	4.09731i	0.307040	+	0.422605i
$95$	−4.88501	−	15.0345i	−0.501191	−	1.54251i
$96$	−0.794507	+	1.53908i	−0.0810890	+	0.157081i
$97$	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
$99$	−4.52200	+	8.86293i	−0.454478	+	0.890758i
$100$	−0.975969			−0.0975969
$101$	−10.4795	−	7.61383i	−1.04275	−	0.757605i	−0.0719321	−	0.997410i	$-0.522916\pi$
$101$	−10.4795	−	7.61383i	−1.04275	−	0.757605i	−0.970821	+	0.239805i	$0.922916\pi$
$102$	−1.34238	+	2.60039i	−0.132915	+	0.257477i
$103$	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
$105$	3.78278	−	1.90223i	0.369162	−	0.185638i
$106$	−1.23934	+	0.402684i	−0.120375	+	0.0391122i
$107$	2.43057	−	7.48053i	0.234972	−	0.723170i	−0.762153	−	0.647397i	$-0.775858\pi$
$107$	2.43057	−	7.48053i	0.234972	−	0.723170i	0.997125	−	0.0757729i	$-0.0241424\pi$
$108$	−2.28506	−	4.66675i	−0.219880	−	0.449058i
$109$		−	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	0.798135	−	0.602479i	$-0.205820\pi$
$113$	11.5838	+	3.76380i	1.08971	+	0.354068i	0.291576	+	0.956548i	$0.405820\pi$
$114$	11.0718	−	1.69347i	1.03697	−	0.158608i
$115$	11.2550	−	8.17721i	1.04953	−	0.762529i
$116$	4.52990	−	3.29117i	0.420591	−	0.305577i
$117$	−20.5566	−	0.218018i	−1.90045	−	0.0201557i
$118$	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
$123$	11.0145	+	11.1319i	0.993143	+	1.00373i
$124$	0.243703	−	0.750040i	0.0218852	−	0.0673556i
$125$	−9.35560	+	3.03982i	−0.836791	+	0.271890i
$126$	0.896741	+	2.86284i	0.0798880	+	0.255042i
$127$	−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
$129$	−9.49175	−	4.89986i	−0.835702	−	0.431409i
$130$	−13.5524	−	9.84638i	−1.18862	−	0.863585i
$131$	17.0271			1.48766			0.743830	−	0.668369i	$-0.233007\pi$
$131$	17.0271			1.48766			0.743830	+	0.668369i	$0.233007\pi$
$132$	−1.80113	−	5.45490i	−0.156768	−	0.474788i
$133$	−6.46664			−0.560729
$134$	−0.836316	−	0.607619i	−0.0722467	−	0.0524903i
$135$	8.83794	+	9.12370i	0.760649	+	0.785243i
$136$	−0.522107	−	1.60688i	−0.0447703	−	0.137789i
$137$	−0.370586	−	0.510068i	−0.0316613	−	0.0435781i	0.792893	−	0.609361i	$-0.208574\pi$
$137$	−0.370586	−	0.510068i	−0.0316613	−	0.0435781i	−0.824554	+	0.565783i	$0.808574\pi$
$138$	4.42833	+	8.80622i	0.376965	+	0.749635i
$139$	−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
$141$	6.23558	−	6.16980i	0.525131	−	0.519591i
$142$			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
$147$	−0.261877	−	1.71214i	−0.0215993	−	0.141215i
$148$	−5.55460	+	4.03565i	−0.456585	+	0.331728i
$149$	−16.0997	+	11.6971i	−1.31894	+	0.958268i	−0.318997	+	0.947756i	$0.603346\pi$
$149$	−16.0997	+	11.6971i	−1.31894	+	0.958268i	−0.999945	+	0.0105120i	$0.996654\pi$
$150$	0.255584	+	1.67100i	0.0208684	+	0.136436i
$151$	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
$156$	8.43704	−	8.34803i	0.675504	−	0.668377i
$157$	−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
$159$	1.01401	+	2.01646i	0.0804159	+	0.159916i
$160$	1.43689	+	1.97771i	0.113596	+	0.156351i
$161$	−1.75859	−	5.41238i	−0.138596	−	0.426556i
$162$	−7.39171	+	5.13445i	−0.580748	+	0.403401i
$163$	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
$165$	8.30823	+	11.3217i	0.646795	+	0.881391i
$166$	2.58614			0.200724
$167$	10.4925	+	7.62322i	0.811931	+	0.589903i	0.914390	−	0.404835i	$-0.132671\pi$
$167$	10.4925	+	7.62322i	0.811931	+	0.589903i	−0.102459	+	0.994737i	$0.532671\pi$
$168$	−1.53908	−	0.794507i	−0.118742	−	0.0612975i
$169$	−10.4935	−	32.2957i	−0.807194	−	2.48429i
$170$	2.42773	+	3.34148i	0.186198	+	0.256280i
$171$	−5.79890	−	18.5130i	−0.443453	−	1.41572i
$172$	5.86533	−	1.90576i	0.447227	−	0.145313i
$173$	5.26759	−	16.2120i	0.400488	−	1.23257i	−0.524117	−	0.851646i	$-0.675605\pi$
$173$	5.26759	−	16.2120i	0.400488	−	1.23257i	0.924605	−	0.380928i	$-0.124395\pi$
$174$	−6.82121	−	6.89394i	−0.517115	−	0.522628i
$175$		−	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	0.499453	−	0.866341i	$-0.333534\pi$
$179$	5.27534	+	1.71406i	0.394297	+	0.128115i	−0.105156	+	0.994456i	$0.533534\pi$
$180$	−7.33333	−	0.0777754i	−0.546594	−	0.00579703i
$181$	−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
$183$	17.1261	−	2.61950i	1.26600	−	0.193639i
$184$	−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
$189$	4.66675	−	2.28506i	0.339456	−	0.166213i
$190$	4.88501	−	15.0345i	0.354396	−	1.09072i
$191$	−10.5754	+	3.43614i	−0.765206	+	0.248630i	−0.665511	−	0.746388i	$-0.731787\pi$
$191$	−10.5754	+	3.43614i	−0.765206	+	0.248630i	−0.0996944	+	0.995018i	$0.531787\pi$
$192$	−1.54742	+	0.778140i	−0.111675	+	0.0561574i
$193$	−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
$195$	−13.3093	+	25.7821i	−0.953099	+	1.84629i
$196$	0.809017	+	0.587785i	0.0577869	+	0.0419847i
$197$	−15.6454			−1.11469			−0.557344	−	0.830282i	$-0.688180\pi$
$197$	−15.6454			−1.11469			−0.557344	+	0.830282i	$0.688180\pi$
$198$	−8.86787	+	4.51230i	−0.630212	+	0.320675i
$199$	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
$201$	−0.821316	+	1.59101i	−0.0579312	+	0.112221i
$202$	−4.00283	−	12.3194i	−0.281638	−	0.866793i
$203$	3.29117	+	4.52990i	0.230995	+	0.317937i
$204$	−2.61448	+	1.31473i	−0.183050	+	0.0920492i
$205$	21.0206	−	6.82999i	1.46814	−	0.477027i
$206$	−0.879825	+	2.70782i	−0.0613003	+	0.188663i
$207$	13.9178	−	9.88807i	0.967353	−	0.687268i
$208$			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
$213$	12.9969	−	1.98792i	0.890535	−	0.136210i
$214$	6.36332	−	4.62322i	0.434987	−	0.316037i
$215$	−12.1969	+	8.86153i	−0.831818	+	0.604351i
$216$	0.894394	−	5.11860i	0.0608558	−	0.348277i
$217$	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
$222$	8.36422	+	8.45340i	0.561370	+	0.567355i
$223$	−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
$225$	2.79404	−	0.875191i	0.186270	−	0.0583461i
$226$	7.15917	+	9.85375i	0.476221	+	0.655462i
$227$	−0.944859	−	2.90798i	−0.0627125	−	0.193009i	0.914791	−	0.403927i	$-0.132355\pi$
$227$	−0.944859	−	2.90798i	−0.0627125	−	0.193009i	−0.977504	+	0.210917i	$0.932355\pi$
$228$	9.95266	+	5.13779i	0.659131	+	0.340258i
$229$	−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
$231$	5.45490	−	1.80113i	0.358906	−	0.118506i
$232$	5.59927			0.367610
$233$	17.7401	+	12.8889i	1.16219	+	0.844381i	0.990053	−	0.140692i	$-0.0449328\pi$
$233$	17.7401	+	12.8889i	1.16219	+	0.844381i	0.172137	+	0.985073i	$0.444933\pi$
$234$	−16.5025	−	12.2592i	−1.07880	−	0.801411i
$235$	−3.82584	−	11.7747i	−0.249571	−	0.768099i
$236$	8.04177	+	11.0685i	0.523475	+	0.720501i
$237$	8.13224	+	16.1719i	0.528246	+	1.05047i
$238$	1.60688	−	0.522107i	0.104159	−	0.0338432i
$239$	−0.523908	+	1.61242i	−0.0338888	+	0.104299i	−0.966570	−	0.256403i	$-0.917463\pi$
$239$	−0.523908	+	1.61242i	−0.0338888	+	0.104299i	0.932681	+	0.360702i	$0.117463\pi$
$240$	3.00982	−	2.97807i	0.194283	−	0.192233i
$241$		−	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
$246$	2.36773	+	15.4801i	0.150961	+	0.986973i
$247$	35.8501	−	26.0466i	2.28109	−	1.65731i
$248$	0.638022	−	0.463550i	0.0405144	−	0.0294355i
$249$	−0.677252	−	4.42784i	−0.0429191	−	0.280603i
$250$	−9.35560	−	3.03982i	−0.591700	−	0.192255i
$251$	13.7703	−	18.9533i	0.869176	−	1.19632i	−0.110126	−	0.993918i	$-0.535126\pi$
$251$	13.7703	−	18.9533i	0.869176	−	1.19632i	0.979303	−	0.202401i	$-0.0648744\pi$
$252$	−0.957257	+	2.84318i	−0.0603015	+	0.179103i
$253$	16.7304	−	8.73762i	1.05183	−	0.549330i
$254$		−	7.84218i		−	0.492062i
$255$	5.08532	−	5.03167i	0.318455	−	0.315095i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	11.2161	−	3.64432i	0.699640	−	0.227327i	0.0624661	−	0.998047i	$-0.480103\pi$
$257$	11.2161	−	3.64432i	0.699640	−	0.227327i	0.637173	+	0.770720i	$0.280103\pi$
$258$	−4.79892	−	9.54318i	−0.298768	−	0.594132i
$259$	−4.03565	−	5.55460i	−0.250763	−	0.345146i
$260$	−5.17655	−	15.9318i	−0.321036	−	0.988047i
$261$	−10.0171	+	13.4842i	−0.620041	+	0.834653i
$262$	13.7752	+	10.0083i	0.851033	+	0.618312i
$263$	19.8086			1.22145			0.610726	−	0.791842i	$-0.290878\pi$
$263$	19.8086			1.22145			0.610726	+	0.791842i	$0.290878\pi$
$264$	1.74917	−	5.47178i	0.107654	−	0.336765i
$265$	3.18557			0.195688
$266$	−5.23162	−	3.80100i	−0.320771	−	0.233054i
$267$	−18.1567	−	9.37288i	−1.11117	−	0.573611i
$268$	−0.319444	−	0.983149i	−0.0195132	−	0.0600554i
$269$	14.0766	+	19.3748i	0.858268	+	1.18130i	0.981980	+	0.188986i	$0.0605200\pi$
$269$	14.0766	+	19.3748i	0.858268	+	1.18130i	−0.123712	+	0.992318i	$0.539480\pi$
$270$	1.78727	+	12.5760i	0.108770	+	0.765354i
$271$	−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
$273$	8.34803	+	8.43704i	0.505246	+	0.510633i
$274$		−	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
$279$	−0.0250909	+	2.36578i	−0.00150215	+	0.141636i
$280$	−1.97771	+	1.43689i	−0.118191	+	0.0858705i
$281$	−2.91966	+	2.12126i	−0.174172	+	0.126544i	−0.671456	−	0.741044i	$-0.734331\pi$
$281$	−2.91966	+	2.12126i	−0.174172	+	0.126544i	0.497284	+	0.867588i	$0.334331\pi$
$282$	8.67121	−	1.32629i	0.516363	−	0.0789794i
$283$	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
$288$	1.73752	+	2.44562i	0.102384	+	0.144109i
$289$	−4.37115	+	13.4530i	−0.257126	+	0.791354i
$290$	−13.0179	+	4.22978i	−0.764438	+	0.248381i
$291$	1.58403	−	0.796553i	0.0928577	−	0.0466948i
$292$	0.0670082	+	0.0922289i	0.00392136	+	0.00539729i
$293$	−4.67047	−	14.3742i	−0.272852	−	0.839751i	−0.989780	−	0.142604i	$-0.954452\pi$
$293$	−4.67047	−	14.3742i	−0.272852	−	0.839751i	0.716928	−	0.697147i	$-0.245548\pi$
$294$	0.794507	−	1.53908i	0.0463366	−	0.0897608i
$295$	−27.0579	−	19.6587i	−1.57537	−	1.14458i
$296$	−6.86586			−0.399070
$297$	10.0480	+	14.0014i	0.583043	+	0.812442i
$298$	−19.9004			−1.15280
$299$	31.5496	+	22.9221i	1.82456	+	1.32562i
$300$	−0.775414	+	1.50209i	−0.0447686	+	0.0867233i
$301$	1.90576	+	5.86533i	0.109846	+	0.338072i
$302$	3.68171	+	5.06744i	0.211859	+	0.291599i
$303$	−20.0443	+	10.0796i	−1.15152	+	0.579057i
$304$	−6.15014	+	1.99830i	−0.352735	+	0.114610i
$305$	7.55625	−	23.2558i	0.432670	−	1.33162i
$306$	2.93566	+	4.13205i	0.167821	+	0.236214i
$307$		−	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	0.354280	−	0.935139i	$-0.384726\pi$
$311$	1.60899	+	0.522792i	0.0912374	+	0.0296448i	−0.263043	+	0.964784i	$0.584726\pi$
$312$	11.7326	−	1.79453i	0.664225	−	0.101595i
$313$	−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
$315$	0.0777754	−	7.33333i	0.00438215	−	0.413186i
$316$	−9.93937	−	3.22950i	−0.559133	−	0.181673i
$317$	−6.23541	+	8.58231i	−0.350216	+	0.482031i	−0.947390	−	0.320081i	$-0.896290\pi$
$317$	−6.23541	+	8.58231i	−0.350216	+	0.482031i	0.597175	+	0.802111i	$0.296290\pi$
$318$	−0.364898	+	2.22737i	−0.0204625	+	0.124905i
$319$	−12.9987	+	13.2629i	−0.727787	+	0.742577i
$320$			2.44458i			0.136656i
$321$	−9.58201	−	9.68417i	−0.534815	−	0.540518i
$322$	1.75859	−	5.41238i	0.0980024	−	0.301620i
$323$	−10.3911	+	3.37628i	−0.578177	+	0.187861i
$324$	−8.99798	−	0.190882i	−0.499888	−	0.0106045i
$325$	3.93105	+	5.41063i	0.218055	+	0.300127i
$326$	2.25640	+	6.94450i	0.124971	+	0.384620i
$327$	−15.0039	−	7.74533i	−0.829715	−	0.428318i
$328$	−7.31461	−	5.31438i	−0.403882	−	0.293437i
$329$	−5.06455			−0.279218
$330$	0.0667821	+	14.0429i	0.00367623	+	0.773035i
$331$	−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
$333$	12.2830	−	16.5345i	0.673104	−	0.906083i
$334$	4.00776	+	12.3346i	0.219295	+	0.674921i
$335$	1.48537	+	2.04444i	0.0811546	+	0.111700i
$336$	−0.778140	−	1.54742i	−0.0424510	−	0.0844185i
$337$	−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
$339$	14.9962	−	14.8380i	0.814480	−	0.805888i
$340$			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
$345$	−3.64321	−	23.8191i	−0.196144	−	1.28238i
$346$	13.7907	−	10.0196i	0.741395	−	0.538655i
$347$	−22.6140	+	16.4300i	−1.21398	+	0.882009i	−0.995586	−	0.0938516i	$-0.970082\pi$
$347$	−22.6140	+	16.4300i	−1.21398	+	0.882009i	−0.218395	+	0.975860i	$0.570082\pi$
$348$	−1.46632	−	9.58672i	−0.0786030	−	0.513902i
$349$	−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	$-0.711479\pi$
$353$		−	29.5840i		−	1.57460i	0.616571	−	0.787299i	$-0.288521\pi$
$354$	16.8449	−	16.6672i	0.895298	−	0.885853i
$355$	5.73440	−	17.6487i	0.304350	−	0.936694i
$356$	11.2197	−	3.64551i	0.594644	−	0.193211i
$357$	−1.31473	−	2.61448i	−0.0695827	−	0.138373i
$358$	3.26034	+	4.48747i	0.172314	+	0.237170i
$359$	1.43780	+	4.42509i	0.0758842	+	0.233547i	0.981802	−	0.189905i	$-0.0608180\pi$
$359$	1.43780	+	4.42509i	0.0758842	+	0.233547i	−0.905918	+	0.423453i	$0.860818\pi$
$360$	−5.88707	−	4.37334i	−0.310276	−	0.230495i
$361$	18.4597	+	13.4117i	0.971563	+	0.705882i
$362$	−15.3937			−0.809077
$363$	8.90020	+	16.8460i	0.467139	+	0.884184i
$364$	−6.85257			−0.359172
$365$	−0.225461	−	0.163807i	−0.0118012	−	0.00857405i
$366$	15.3950	+	7.94726i	0.804711	+	0.415410i
$367$	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
$369$	25.8840	−	8.10775i	1.34747	−	0.422073i
$370$	15.9627	−	5.18658i	0.829859	−	0.269638i
$371$	0.402684	−	1.23934i	0.0209063	−	0.0643431i
$372$	−0.960746	−	0.970989i	−0.0498124	−	0.0503434i
$373$			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
$378$	5.11860	+	0.894394i	0.263272	+	0.0460027i
$379$	−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
$381$	−13.4269	+	2.05369i	−0.687881	+	0.105214i
$382$	−10.5754	−	3.43614i	−0.541082	−	0.175808i
$383$	−6.08296	+	8.37247i	−0.310825	+	0.427813i	−0.935638	−	0.352961i	$-0.885175\pi$
$383$	−6.08296	+	8.37247i	−0.310825	+	0.427813i	0.624814	+	0.780774i	$0.285175\pi$
$384$	−1.70927	−	0.280020i	−0.0872256	−	0.0142897i
$385$	1.18772	−	8.02029i	0.0605320	−	0.408752i
$386$		−	12.9381i		−	0.658534i
$387$	−15.0825	+	10.7156i	−0.766688	+	0.544703i
$388$	−0.316329	+	0.973561i	−0.0160592	+	0.0494251i
$389$	−12.7308	+	4.13649i	−0.645478	+	0.209729i	−0.613419	−	0.789757i	$-0.710206\pi$
$389$	−12.7308	+	4.13649i	−0.645478	+	0.209729i	−0.0320590	+	0.999486i	$0.510206\pi$
$390$	−25.9218	+	13.0351i	−1.31260	+	0.660060i
$391$	−5.65169	−	7.77888i	−0.285818	−	0.393395i
$392$	0.309017	+	0.951057i	0.0156077	+	0.0480356i
$393$	13.5281	−	26.2059i	0.682403	−	1.32192i
$394$	−12.6574	−	9.19613i	−0.637670	−	0.463295i
$395$	25.5480			1.28546
$396$	−9.82652	−	1.56188i	−0.493801	−	0.0784874i
$397$	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
$399$	−5.13779	+	9.95266i	−0.257211	+	0.498256i
$400$	−0.301591	−	0.928202i	−0.0150796	−	0.0464101i
$401$	11.4308	+	15.7331i	0.570825	+	0.785674i	0.992652	−	0.121003i	$-0.0386110\pi$
$401$	11.4308	+	15.7331i	0.570825	+	0.785674i	−0.421827	+	0.906676i	$0.638611\pi$
$402$	−1.59963	+	0.804397i	−0.0797824	+	0.0401197i
$403$	−5.13970	+	1.66999i	−0.256027	+	0.0831882i
$404$	4.00283	−	12.3194i	0.199148	−	0.612915i
$405$	21.0639	−	6.35343i	1.04667	−	0.315705i
$406$			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
$411$	−1.07947	+	0.165108i	−0.0532462	+	0.00814419i
$412$	−2.30341	+	1.67353i	−0.113481	+	0.0824487i
$413$	−11.0685	+	8.04177i	−0.544648	+	0.395710i
$414$	17.0718	+	0.181059i	0.839033	+	0.00889856i
$415$	−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	$0.178752\pi$
$419$			21.8005i			1.06503i	−0.846422	+	0.532513i	$0.821248\pi$
$420$	2.97807	+	3.00982i	0.145315	+	0.146864i
$421$	−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
$423$	−4.54159	−	14.4990i	−0.220819	−	0.704965i
$424$	−0.765951	−	1.05424i	−0.0371979	−	0.0511985i
$425$	−0.509561	−	1.56827i	−0.0247173	−	0.0760721i
$426$	11.6832	+	6.03114i	0.566053	+	0.292210i
$427$	−8.09241	−	5.87948i	−0.391619	−	0.284528i
$428$	7.86549			0.380193
$429$	−22.9865	+	31.9567i	−1.10980	+	1.54288i
$430$	−15.0761			−0.727036
$431$	−13.4407	−	9.76525i	−0.647416	−	0.470375i	0.214974	−	0.976620i	$-0.431033\pi$
$431$	−13.4407	−	9.76525i	−0.647416	−	0.470375i	−0.862390	+	0.506244i	$0.831033\pi$
$432$	3.73222	−	3.61532i	0.179566	−	0.173942i
$433$	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
$435$	10.6511	+	21.1808i	0.510679	+	1.01554i
$436$	9.27147	−	3.01248i	0.444023	−	0.144272i
$437$	−11.3722	+	34.9999i	−0.544005	+	1.67427i
$438$	0.140361	−	0.138880i	0.00670670	−	0.00663595i
$439$		−	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	0.587659	−	0.809109i	$-0.300050\pi$
$443$	12.3655	+	4.01780i	0.587503	+	0.190891i	−0.000156063		1.00000i	$0.500050\pi$
$444$	1.79801	+	11.7553i	0.0853299	+	0.557882i
$445$	−23.3312	+	16.9511i	−1.10601	+	0.803560i
$446$	−8.05525	+	5.85248i	−0.381427	+	0.277123i
$447$	5.21146	+	34.0722i	0.246493	+	1.61156i
$448$	0.951057	+	0.309017i	0.0449332	+	0.0145997i
$449$	−1.34634	+	1.85308i	−0.0635378	+	0.0874523i	−0.839603	−	0.543200i	$-0.817213\pi$
$449$	−1.34634	+	1.85308i	−0.0635378	+	0.0874523i	0.776066	+	0.630652i	$0.217213\pi$
$450$	2.77485	+	0.934254i	0.130808	+	0.0440411i
$451$	29.5689	−	4.98863i	1.39235	−	0.234905i
$452$			12.1799i			0.572895i
$453$	7.71201	−	7.63065i	0.362342	−	0.358519i
$454$	0.944859	−	2.90798i	0.0443444	−	0.136478i
$455$	15.9318	−	5.17655i	0.746893	−	0.242680i
$456$	5.03195	+	10.0066i	0.235643	+	0.468601i
$457$	−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
$459$	6.30586	−	6.10836i	0.294332	−	0.285114i
$460$	11.2550	+	8.17721i	0.524765	+	0.381264i
$461$	−3.55278			−0.165469			−0.0827346	−	0.996572i	$-0.526365\pi$
$461$	−3.55278			−0.165469			−0.0827346	+	0.996572i	$0.526365\pi$
$462$	5.47178	+	1.74917i	0.254570	+	0.0813786i
$463$	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
$465$	2.96717	+	1.53172i	0.137599	+	0.0710319i
$466$	6.77610	+	20.8547i	0.313897	+	0.966075i
$467$	0.0877085	+	0.120720i	0.00405866	+	0.00558627i	0.811042	−	0.584989i	$-0.198901\pi$
$467$	0.0877085	+	0.120720i	0.00405866	+	0.00558627i	−0.806983	+	0.590575i	$0.798901\pi$
$468$	−6.14498	−	19.6178i	−0.284052	−	0.906834i
$469$	0.983149	−	0.319444i	0.0453976	−	0.0147506i
$470$	3.82584	−	11.7747i	0.176473	−	0.543128i
$471$	16.1375	+	16.3096i	0.743579	+	0.751507i
$472$			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
$477$	3.90912	+	0.0414591i	0.178986	+	0.00189828i
$478$	−1.37161	+	0.996532i	−0.0627359	+	0.0455803i
$479$	−12.0900	+	8.78393i	−0.552408	+	0.401348i	−0.828672	−	0.559734i	$-0.810903\pi$
$479$	−12.0900	+	8.78393i	−0.552408	+	0.401348i	0.276265	+	0.961082i	$0.410903\pi$
$480$	4.18546	−	0.640180i	0.191039	−	0.0292201i
$481$	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
$486$	2.02955	+	15.4558i	0.0920622	+	0.701088i
$487$	−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
$489$	11.2990	−	5.68189i	0.510961	−	0.256944i
$490$	−1.43689	−	1.97771i	−0.0649120	−	0.0893437i
$491$	−4.19669	−	12.9161i	−0.189394	−	0.582895i	0.810602	−	0.585597i	$-0.199140\pi$
$491$	−4.19669	−	12.9161i	−0.189394	−	0.582895i	−0.999996	+	0.00270204i	$0.999140\pi$
$492$	−7.18342	+	13.9154i	−0.323854	+	0.627353i
$493$	7.65360	+	5.56067i	0.344701	+	0.250440i
$494$	44.3131			1.99374
$495$	24.0259	−	3.79185i	1.07988	−	0.170431i
$496$	0.788639			0.0354109
$497$	−6.14128	−	4.46190i	−0.275474	−	0.200144i
$498$	2.05471	−	3.98028i	0.0920738	−	0.178360i
$499$	−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
$501$	20.0691	−	10.0920i	0.896620	−	0.450878i
$502$	22.2809	−	7.23950i	0.994444	−	0.323115i
$503$	−5.58010	+	17.1738i	−0.248805	+	0.765742i	0.746183	+	0.665741i	$0.231884\pi$
$503$	−5.58010	+	17.1738i	−0.248805	+	0.765742i	−0.994987	+	0.100001i	$0.968116\pi$
$504$	−2.44562	+	1.73752i	−0.108936	+	0.0773952i
$505$			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	0.170233	−	0.985404i	$-0.445548\pi$
$509$	−6.11971	−	1.98841i	−0.271251	−	0.0881349i	−0.441484	+	0.897269i	$0.645548\pi$
$510$	7.07165	−	1.08163i	0.313138	−	0.0478954i
$511$	−0.0922289	+	0.0670082i	−0.00407997	+	0.00296427i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	−33.1001	−	5.78372i	−1.46141	−	0.255358i
$514$	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
$519$	−20.7664	−	20.9878i	−0.911542	−	0.921261i
$520$	5.17655	−	15.9318i	0.227007	−	0.698655i
$521$	−18.2045	+	5.91501i	−0.797555	+	0.259141i	−0.679318	−	0.733844i	$-0.737724\pi$
$521$	−18.2045	+	5.91501i	−0.797555	+	0.259141i	−0.118237	+	0.992985i	$0.537724\pi$
$522$	−16.0298	+	5.02109i	−0.701605	+	0.219767i
$523$	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
$525$	−1.50209	−	0.775414i	−0.0655567	−	0.0338419i
$526$	16.0255	+	11.6432i	0.698746	+	0.507669i
$527$	1.33246			0.0580430
$528$	4.63134	−	3.39863i	0.201553	−	0.147906i
$529$	−9.38653			−0.408110
$530$	2.57718	+	1.87243i	0.111945	+	0.0813331i
$531$	−32.9479	−	24.4761i	−1.42982	−	1.06217i
$532$	−1.99830	−	6.15014i	−0.0866374	−	0.266642i
$533$	36.4172	+	50.1239i	1.57740	+	2.17111i
$534$	−9.17980	−	18.2550i	−0.397249	−	0.789973i
$535$	−18.2867	+	5.94172i	−0.790605	+	0.256883i
$536$	0.319444	−	0.983149i	0.0137979	−	0.0424655i
$537$	6.82936	−	6.75732i	0.294709	−	0.291600i
$538$			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
$543$	4.03127	+	26.3562i	0.172998	+	1.13105i
$544$	1.36689	−	0.993107i	0.0586051	−	0.0425791i
$545$	−19.2799	+	14.0077i	−0.825859	+	0.600022i
$546$	1.79453	+	11.7326i	0.0767989	+	0.502107i
$547$	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
$552$	−7.00678	+	6.93286i	−0.298228	+	0.295082i
$553$	3.22950	−	9.93937i	0.137332	−	0.422665i
$554$	20.8090	−	6.76124i	0.884088	−	0.287258i
$555$	−13.0604	−	25.9721i	−0.554384	−	1.10245i
$556$	−0.730794	−	1.00585i	−0.0309926	−	0.0426576i
$557$	13.0949	+	40.3020i	0.554849	+	1.70765i	0.696341	+	0.717711i	$0.254810\pi$
$557$	13.0949	+	40.3020i	0.554849	+	1.70765i	−0.141492	+	0.989939i	$0.545190\pi$
$558$	−1.41087	+	1.89921i	−0.0597269	+	0.0804000i
$559$	−34.1899	−	24.8404i	−1.44608	−	1.05064i
$560$	−2.44458			−0.103302
$561$	7.82499	−	5.74224i	0.330371	−	0.242438i
$562$	−3.60890			−0.152232
$563$	−21.5555	−	15.6610i	−0.908456	−	0.660032i	0.0321679	−	0.999482i	$-0.489759\pi$
$563$	−21.5555	−	15.6610i	−0.908456	−	0.660032i	−0.940624	+	0.339451i	$0.889759\pi$
$564$	7.79473	+	4.02382i	0.328217	+	0.169433i
$565$	−9.20091	−	28.3175i	−0.387085	−	1.19133i
$566$	4.12014	+	5.67089i	0.173182	+	0.238365i
$567$	0.190882	−	8.99798i	0.00801629	−	0.377879i
$568$	−7.21951	+	2.34576i	−0.302924	+	0.0984260i
$569$	−2.88942	+	8.89271i	−0.121131	+	0.372802i	−0.993176	−	0.116623i	$-0.962793\pi$
$569$	−2.88942	+	8.89271i	−0.121131	+	0.372802i	0.872046	+	0.489425i	$0.162793\pi$
$570$	−19.2581	−	19.4634i	−0.806633	−	0.815233i
$571$		−	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
$576$	−0.0318154	+	2.99983i	−0.00132564	+	0.124993i
$577$	−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
$579$	−22.1519	+	3.38821i	−0.920602	+	0.140809i
$580$	−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
$585$	29.1063	+	40.9681i	1.20340	+	1.69382i
$586$	4.67047	−	14.3742i	0.192935	−	0.593794i
$587$	10.6792	−	3.46988i	0.440778	−	0.143217i	−0.0802165	−	0.996777i	$-0.525561\pi$
$587$	10.6792	−	3.46988i	0.440778	−	0.143217i	0.520995	+	0.853560i	$0.325561\pi$
$588$	1.54742	−	0.778140i	0.0638144	−	0.0320900i
$589$	−2.99761	−	4.12586i	−0.123514	−	0.170003i
$590$	−10.3352	−	31.8085i	−0.425494	−	1.30954i
$591$	−12.4304	+	24.0795i	−0.511317	+	0.990497i
$592$	−5.55460	−	4.03565i	−0.228293	−	0.165864i
$593$	14.3949			0.591129			0.295565	−	0.955323i	$-0.404492\pi$
$593$	14.3949			0.591129			0.295565	+	0.955323i	$0.404492\pi$
$594$	−0.100813	+	17.2334i	−0.00413641	+	0.707095i
$595$	−4.13030			−0.169326
$596$	−16.0997	−	11.6971i	−0.659471	−	0.479134i
$597$	9.46630	−	18.3376i	0.387430	−	0.750509i
$598$	12.0509	+	37.0887i	0.492796	+	1.51667i
$599$	−21.9616	−	30.2276i	−0.897327	−	1.23506i	−0.971313	−	0.237805i	$-0.923572\pi$
$599$	−21.9616	−	30.2276i	−0.897327	−	1.23506i	0.0739859	−	0.997259i	$-0.476428\pi$
$600$	−1.51023	+	0.759441i	−0.0616549	+	0.0310040i
$601$	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
$603$	1.79615	+	2.52814i	0.0731448	+	0.102954i
$604$			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
$609$	9.58672	−	1.46632i	0.388474	−	0.0594183i
$610$	19.7825	−	14.3728i	0.800971	−	0.581940i
$611$	28.0771	−	20.3992i	1.13588	−	0.825263i
$612$	−0.0537546	+	5.06844i	−0.00217290	+	0.204879i
$613$	−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	$0.107771\pi$
$617$			16.5004i			0.664279i	−0.943230	+	0.332140i	$0.892229\pi$
$618$	3.46852	+	3.50550i	0.139524	+	0.141012i
$619$	−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
$621$	−4.16071	−	29.2767i	−0.166964	−	1.17483i
$622$	0.994410	+	1.36869i	0.0398722	+	0.0548794i
$623$	3.64551	+	11.2197i	0.146054	+	0.449508i
$624$	10.5466	+	5.44442i	0.422203	+	0.217951i
$625$	23.4027	+	17.0031i	0.936108	+	0.680122i
$626$	−3.51335			−0.140422
$627$	−35.3841	−	11.3112i	−1.41310	−	0.451727i
$628$	−13.2467			−0.528600
$629$	−9.38491	−	6.81853i	−0.374201	−	0.271873i
$630$	4.37334	−	5.88707i	0.174238	−	0.234546i
$631$	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
$633$	6.37427	+	12.6759i	0.253354	+	0.503823i
$634$	−10.0891	+	3.27815i	−0.400690	+	0.130192i
$635$	−5.92411	+	18.2325i	−0.235091	+	0.723537i
$636$	−1.60442	+	1.58750i	−0.0636195	+	0.0629484i
$637$		−	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	0.550142	−	0.835071i	$-0.314574\pi$
$641$	12.7697	+	4.14913i	0.504373	+	0.163881i	−0.0457687	+	0.998952i	$0.514574\pi$
$642$	−2.05979	−	13.4668i	−0.0812936	−	0.531493i
$643$	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
$645$	3.94810	+	25.8124i	0.155456	+	1.01636i
$646$	−10.3911	−	3.37628i	−0.408833	−	0.132838i
$647$	15.7613	−	21.6936i	0.619640	−	0.852862i	−0.377686	−	0.925934i	$-0.623280\pi$
$647$	15.7613	−	21.6936i	0.619640	−	0.852862i	0.997327	+	0.0730717i	$0.0232802\pi$
$648$	−7.16732	−	5.44330i	−0.281559	−	0.213833i
$649$	−32.4070	−	31.7616i	−1.27209	−	1.24675i
$650$			6.68790i			0.262321i
$651$	0.970989	−	0.960746i	0.0380561	−	0.0376546i
$652$	−2.25640	+	6.94450i	−0.0883676	+	0.271968i
$653$	−25.7723	+	8.37394i	−1.00855	+	0.327698i	−0.766277	−	0.642511i	$-0.777893\pi$
$653$	−25.7723	+	8.37394i	−1.00855	+	0.327698i	−0.242273	+	0.970208i	$0.577893\pi$
$654$	−7.58578	−	15.0852i	−0.296627	−	0.589876i
$655$	−24.4660	−	33.6745i	−0.955964	−	1.31577i
$656$	−2.79393	−	8.59884i	−0.109085	−	0.335728i
$657$	−0.274539	−	0.203948i	−0.0107108	−	0.00795676i
$658$	−4.09731	−	2.97687i	−0.159730	−	0.116050i
$659$	−35.2260			−1.37221			−0.686104	−	0.727503i	$-0.740681\pi$
$659$	−35.2260			−1.37221			−0.686104	+	0.727503i	$0.740681\pi$
$660$	−8.20017	+	11.4002i	−0.319191	+	0.443752i
$661$	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
$663$	17.8193	+	9.19875i	0.692045	+	0.357250i
$664$	0.799163	+	2.45957i	0.0310135	+	0.0954498i
$665$	9.29184	+	12.7891i	0.360322	+	0.495941i
$666$	19.6559	−	6.15689i	0.761649	−	0.238575i
$667$	30.3054	−	9.84681i	1.17343	−	0.381270i
$668$	−4.00776	+	12.3346i	−0.155065	+	0.477241i
$669$	12.1298	+	12.2591i	0.468963	+	0.473964i
$670$			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
$675$	0.872901	−	4.99560i	0.0335980	−	0.192281i
$676$	27.4724	−	19.9599i	1.05663	−	0.767687i
$677$	−7.82771	+	5.68716i	−0.300843	+	0.218575i	−0.727958	−	0.685622i	$-0.759530\pi$
$677$	−7.82771	+	5.68716i	−0.300843	+	0.218575i	0.427114	+	0.904198i	$0.359530\pi$
$678$	20.8537	−	3.18964i	0.800882	−	0.122497i
$679$	−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	$0.168708\pi$
$683$			26.4240i			1.01109i	−0.862801	+	0.505544i	$0.831292\pi$
$684$	15.8149	−	11.2359i	0.604698	−	0.429615i
$685$	−0.476274	+	1.46582i	−0.0181975	+	0.0560062i
$686$	−0.951057	+	0.309017i	−0.0363115	+	0.0117983i
$687$	−23.7928	+	11.9646i	−0.907753	+	0.456477i
$688$	3.62497	+	4.98935i	0.138201	+	0.190217i
$689$	2.75942	+	8.49263i	0.105126	+	0.323544i
$690$	11.0531	−	21.4115i	0.420784	−	0.815121i
$691$	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
$693$	1.56188	−	9.82652i	0.0593309	−	0.373279i
$694$	−27.9524			−1.06106
$695$	2.45888	+	1.78648i	0.0932708	+	0.0677652i
$696$	4.44866	−	8.61770i	0.168626	−	0.326653i
$697$	−4.72056	−	14.5284i	−0.178804	−	0.550302i
$698$	−9.78407	−	13.4666i	−0.370332	−	0.509719i
$699$	33.9316	−	17.0630i	1.28341	−	0.645382i
$700$	0.928202	−	0.301591i	0.0350827	−	0.0113991i
$701$	−2.36639	+	7.28299i	−0.0893772	+	0.275075i	−0.985748	−	0.168231i	$-0.946194\pi$
$701$	−2.36639	+	7.28299i	−0.0893772	+	0.275075i	0.896370	+	0.443306i	$0.146194\pi$
$702$	−31.9792	+	15.6585i	−1.20698	+	0.590993i
$703$			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
$708$	23.4246	−	3.58287i	0.880350	−	0.134652i
$709$	−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
$711$	31.3509	+	0.332499i	1.17575	+	0.0124697i
$712$	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
$717$	2.06539	+	2.08742i	0.0771336	+	0.0779559i
$718$	−1.43780	+	4.42509i	−0.0536582	+	0.165143i
$719$	−17.4737	+	5.67754i	−0.651658	+	0.211737i	−0.616145	−	0.787633i	$-0.711307\pi$
$719$	−17.4737	+	5.67754i	−0.651658	+	0.211737i	−0.0355131	+	0.999369i	$0.511307\pi$
$720$	−2.19215	−	6.99844i	−0.0816967	−	0.260817i
$721$	−1.67353	−	2.30341i	−0.0623254	−	0.0857835i
$722$	7.05097	+	21.7007i	0.262410	+	0.807615i
$723$	−41.7371	−	21.5456i	−1.55222	−	0.801290i
$724$	−12.4538	−	9.04821i	−0.462842	−	0.336274i
$725$	5.46471			0.202954
$726$	−2.70139	+	18.8601i	−0.100258	+	0.699963i
$727$	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
$729$	25.9309	−	7.52239i	0.960405	−	0.278607i
$730$	−0.0861184	−	0.265045i	−0.00318738	−	0.00980976i
$731$	6.12466	+	8.42987i	0.226529	+	0.311790i
$732$	7.78355	+	15.4784i	0.287688	+	0.572100i
$733$	−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
$735$	−3.00982	+	2.97807i	−0.111019	+	0.109848i
$736$		−	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
$741$	−11.6046	−	75.8702i	−0.426306	−	2.78716i
$742$	1.05424	−	0.765951i	0.0387024	−	0.0281190i
$743$	12.7090	−	9.23363i	0.466248	−	0.338749i	−0.329729	−	0.944076i	$-0.606957\pi$
$743$	12.7090	−	9.23363i	0.466248	−	0.338749i	0.795977	+	0.605327i	$0.206957\pi$
$744$	−0.206527	−	1.35026i	−0.00757163	−	0.0495029i
$745$	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
$750$	−12.1116	+	11.9838i	−0.442253	+	0.437588i
$751$	−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
$753$	−18.2299	−	36.2521i	−0.664334	−	1.32110i
$754$	−22.5530	−	31.0415i	−0.821330	−	1.13046i
$755$	−4.73171	−	14.5627i	−0.172204	−	0.529991i
$756$	3.61532	+	3.73222i	0.131488	+	0.135739i
$757$	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
$759$	−0.155467	−	32.6915i	−0.00564309	−	1.18662i
$760$	15.8082			0.573424
$761$	−30.5972	−	22.2302i	−1.10915	−	0.805843i	−0.126618	−	0.991952i	$-0.540412\pi$
$761$	−30.5972	−	22.2302i	−1.10915	−	0.805843i	−0.982529	+	0.186109i	$0.940412\pi$
$762$	−12.0697	−	6.23067i	−0.437240	−	0.225713i
$763$	3.01248	+	9.27147i	0.109059	+	0.335650i
$764$	−6.53593	−	8.99593i	−0.236462	−	0.325462i
$765$	−3.70381	−	11.8244i	−0.133911	−	0.427512i
$766$	−9.84243	+	3.19800i	−0.355621	+	0.115548i
$767$	28.9714	−	89.1647i	1.04610	−	3.21955i
$768$	−1.21823	−	1.23122i	−0.0439592	−	0.0444279i
$769$			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	0.473036	−	0.881043i	$-0.343158\pi$
$773$	9.39362	+	3.05217i	0.337865	+	0.109779i	−0.135170	+	0.990822i	$0.543158\pi$
$774$	−18.5005	−	0.196211i	−0.664986	−	0.00705267i
$775$	0.622690	−	0.452411i	0.0223677	−	0.0162511i
$776$	−0.828161	+	0.601694i	−0.0297292	+	0.0215996i
$777$	−11.7553	+	1.79801i	−0.421719	+	0.0645033i
$778$	−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
$783$	12.7946	+	26.1303i	0.457243	+	0.933822i
$784$	−0.309017	+	0.951057i	−0.0110363	+	0.0339663i
$785$	30.7976	−	10.0068i	1.09921	−	0.357157i
$786$	26.3479	−	13.2494i	0.939800	−	0.472592i
$787$	−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
$789$	15.7381	−	30.4870i	0.560291	−	1.08537i
$790$	20.6688	+	15.0167i	0.735361	+	0.534271i
$791$	−12.1799			−0.433068
$792$	−7.03177	−	7.03947i	−0.249863	−	0.250137i
$793$	68.5447			2.43409
$794$	7.73273	+	5.61816i	0.274424	+	0.199381i
$795$	2.53095	−	4.90283i	0.0897637	−	0.173886i
$796$	3.68184	+	11.3315i	0.130499	+	0.401636i
$797$	3.78402	+	5.20826i	0.134037	+	0.184486i	0.870760	−	0.491709i	$-0.163628\pi$
$797$	3.78402	+	5.20826i	0.134037	+	0.184486i	−0.736723	+	0.676195i	$0.763628\pi$
$798$	−10.0066	+	5.03195i	−0.354229	+	0.178129i
$799$	−8.13813	+	2.64424i	−0.287906	+	0.0935464i
$800$	0.301591	−	0.928202i	0.0106629	−	0.0328169i
$801$	−28.8512	+	20.4977i	−1.01941	+	0.724250i
$802$			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
$807$	41.0033	−	6.27159i	1.44339	−	0.220771i
$808$	10.4795	−	7.61383i	0.368669	−	0.267854i
$809$	25.9234	−	18.8345i	0.911419	−	0.662184i	−0.0299547	−	0.999551i	$-0.509536\pi$
$809$	25.9234	−	18.8345i	0.911419	−	0.662184i	0.941373	+	0.337367i	$0.109536\pi$
$810$	20.7755	+	7.24101i	0.729977	+	0.254423i
$811$	−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
$816$	−2.05830	−	2.08024i	−0.0720548	−	0.0728230i
$817$	12.3239	−	37.9290i	0.431157	−	1.32697i
$818$	−3.46320	+	1.12526i	−0.121088	+	0.0393438i
$819$	19.6178	−	6.14498i	0.685502	−	0.214723i
$820$	12.9914	+	17.8812i	0.453680	+	0.624437i
$821$	−14.3461	−	44.1526i	−0.500681	−	1.54094i	−0.807912	−	0.589303i	$-0.799403\pi$
$821$	−14.3461	−	44.1526i	−0.500681	−	1.54094i	0.307231	−	0.951635i	$-0.400597\pi$
$822$	−0.970356	−	0.500920i	−0.0338451	−	0.0174716i
$823$	−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
$825$	1.70713	−	5.34029i	0.0594347	−	0.185925i
$826$	−13.6815			−0.476039
$827$	−4.99138	−	3.62645i	−0.173567	−	0.126104i	0.497610	−	0.867401i	$-0.334211\pi$
$827$	−4.99138	−	3.62645i	−0.173567	−	0.126104i	−0.671177	+	0.741297i	$0.734211\pi$
$828$	13.7049	+	10.1810i	0.476280	+	0.353815i
$829$	−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
$831$	−17.0256	−	33.8572i	−0.590611	−	1.17449i
$832$	−6.51718	+	2.11756i	−0.225943	+	0.0734132i
$833$	−0.522107	+	1.60688i	−0.0180899	+	0.0556751i
$834$	−1.53078	+	1.51463i	−0.0530065	+	0.0524473i
$835$		−	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	−0.255356	−	0.966847i	$-0.582193\pi$
$839$	−29.8415	−	9.69608i	−1.03024	−	0.334746i	−0.774886	+	0.632101i	$0.782193\pi$
$840$	0.640180	+	4.18546i	0.0220883	+	0.144412i
$841$	−1.90262	+	1.38234i	−0.0656076	+	0.0476667i
$842$	−12.6049	+	9.15802i	−0.434395	+	0.315606i
$843$	0.945089	+	6.17894i	0.0325506	+	0.212814i
$844$	−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
$849$	8.63038	−	8.53933i	0.296194	−	0.293069i
$850$	0.509561	−	1.56827i	0.0174778	−	0.0537911i
$851$	−37.1607	+	12.0742i	−1.27385	+	0.413899i
$852$	5.90690	+	11.7465i	0.202367	+	0.402429i
$853$	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
$855$	−28.2808	+	38.0696i	−0.967184	+	1.30195i
$856$	6.36332	+	4.62322i	0.217494	+	0.158018i
$857$	26.1192			0.892216			0.446108	−	0.894979i	$-0.352810\pi$
$857$	26.1192			0.892216			0.446108	+	0.894979i	$0.352810\pi$
$858$	−37.3801	+	12.3424i	−1.27614	+	0.421361i
$859$	−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
$861$	−13.9154	−	7.18342i	−0.474234	−	0.244810i
$862$	−5.13390	−	15.8005i	−0.174861	−	0.538167i
$863$	7.14496	+	9.83420i	0.243217	+	0.334760i	0.913121	−	0.407688i	$-0.133665\pi$
$863$	7.14496	+	9.83420i	0.243217	+	0.334760i	−0.669904	+	0.742448i	$0.733665\pi$
$864$	5.14446	−	0.731115i	0.175018	−	0.0248730i
$865$	−39.6315	+	12.8770i	−1.34751	+	0.437833i
$866$	−2.90462	+	8.93950i	−0.0987030	+	0.303777i
$867$	17.2323	+	17.4161i	0.585240	+	0.591480i
$868$			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
$873$	0.0325683	−	3.07082i	0.00110227	−	0.103931i
$874$	−29.7727	+	21.6311i	−1.00708	+	0.731684i
$875$	7.95835	−	5.78208i	0.269041	−	0.195470i
$876$	0.195186	−	0.0298543i	0.00659472	−	0.00100868i
$877$	−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	$-0.982415\pi$
$881$		−	3.27777i		−	0.110431i	0.998474	−	0.0552154i	$-0.0175846\pi$
$882$	−1.73752	−	2.44562i	−0.0585053	−	0.0823481i
$883$	−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
$885$	−51.7541	+	26.0253i	−1.73969	+	0.874829i
$886$	7.64230	+	10.5187i	0.256748	+	0.353384i
$887$	6.27720	+	19.3192i	0.210768	+	0.648676i	0.999427	+	0.0338460i	$0.0107756\pi$
$887$	6.27720	+	19.3192i	0.210768	+	0.648676i	−0.788659	+	0.614830i	$0.789224\pi$
$888$	−5.45497	+	10.5671i	−0.183057	+	0.354608i
$889$	6.34446	+	4.60952i	0.212786	+	0.154598i
$890$	−28.8390			−0.966684
$891$	29.5324	−	4.34043i	0.989372	−	0.145410i
$892$	−9.95684			−0.333380
$893$	26.4958	+	19.2503i	0.886648	+	0.644188i
$894$	−15.8110	+	30.6282i	−0.528798	+	1.02436i
$895$	−4.19016	−	12.8960i	−0.140062	−	0.431065i
$896$	0.587785	+	0.809017i	0.0196365	+	0.0270274i
$897$	60.3452	−	30.3455i	2.01487	−	1.01321i
$898$	−2.17843	+	0.707814i	−0.0726951	+	0.0236201i
$899$	−1.36456	+	4.19967i	−0.0455105	+	0.140067i
$900$	1.69576	+	2.38685i	0.0565255	+	0.0795615i
$901$		−	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
$906$	10.7243	−	1.64032i	0.356292	−	0.0544960i
$907$	−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
$909$	−0.412119	+	38.8581i	−0.0136691	+	1.28884i
$910$	15.9318	+	5.17655i	0.528133	+	0.171601i
$911$	−21.0081	+	28.9151i	−0.696028	+	0.958001i	0.303957	+	0.952686i	$0.401692\pi$
$911$	−21.0081	+	28.9151i	−0.696028	+	0.958001i	−0.999986	+	0.00531529i	$0.998308\pi$
$912$	−1.81079	+	11.0532i	−0.0599612	+	0.366008i
$913$	−7.68118	−	3.81694i	−0.254210	−	0.126322i
$914$		−	0.00423683i		−	0.000140142i
$915$	−29.7889	−	30.1065i	−0.984791	−	0.995291i
$916$	4.75140	−	14.6233i	0.156991	−	0.483167i
$917$	−16.1937	+	5.26165i	−0.534763	+	0.173755i
$918$	8.69195	−	1.23527i	0.286877	−	0.0407701i
$919$	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
$921$	−4.28662	−	2.21285i	−0.141249	−	0.0729160i
$922$	−2.87426	−	2.08827i	−0.0946586	−	0.0687735i
$923$	52.0182			1.71220
$924$	3.39863	+	4.63134i	0.111807	+	0.152360i
$925$	−6.70087			−0.220323
$926$	10.4922	+	7.62304i	0.344795	+	0.250509i
$927$	5.09358	−	6.85660i	0.167295	−	0.225200i
$928$	1.73027	+	5.32522i	0.0567988	+	0.174809i
$929$	−14.7725	−	20.3326i	−0.484671	−	0.667092i	0.494723	−	0.869051i	$-0.335269\pi$
$929$	−14.7725	−	20.3326i	−0.484671	−	0.667092i	−0.979394	+	0.201958i	$0.935269\pi$
$930$	1.50017	+	2.98325i	0.0491925	+	0.0978246i
$931$	6.15014	−	1.99830i	0.201563	−	0.0654917i
$932$	−6.77610	+	20.8547i	−0.221959	+	0.683118i
$933$	2.08297	−	2.06100i	0.0681934	−	0.0674740i
$934$			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
$939$	0.920065	+	6.01534i	0.0300252	+	0.196303i
$940$	10.0162	−	7.27719i	0.326692	−	0.237356i
$941$	15.7918	−	11.4734i	0.514798	−	0.374022i	−0.299843	−	0.953989i	$-0.596934\pi$
$941$	15.7918	−	11.4734i	0.514798	−	0.374022i	0.814641	+	0.579966i	$0.196934\pi$
$942$	3.46900	+	22.6802i	0.113026	+	0.738959i
$943$	−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	$0.142758\pi$
$947$			26.6868i			0.867205i	−0.901104	+	0.433602i	$0.857242\pi$
$948$	−12.8673	+	12.7316i	−0.417912	+	0.413503i
$949$	0.241405	−	0.742967i	0.00783632	−	0.0241177i
$950$	−6.00235	+	1.95028i	−0.194742	+	0.0632755i
$951$	8.25476	+	16.4155i	0.267679	+	0.532309i
$952$	0.993107	+	1.36689i	0.0321868	+	0.0443013i
$953$	−0.522708	−	1.60873i	−0.0169322	−	0.0521119i	0.942233	−	0.334957i	$-0.108722\pi$
$953$	−0.522708	−	1.60873i	−0.0169322	−	0.0521119i	−0.959166	+	0.282845i	$0.908722\pi$
$954$	3.13818	+	2.33127i	0.101602	+	0.0754775i
$955$	21.9913	+	15.9776i	0.711621	+	0.517023i
$956$	−1.69540			−0.0548332
$957$	10.0850	+	30.5434i	0.326002	+	0.987329i
$958$	−14.9441			−0.482822
$959$	0.510068	+	0.370586i	0.0164710	+	0.0119669i
$960$	3.76240	+	1.94224i	0.121431	+	0.0626854i
$961$	−9.38733	−	28.8912i	−0.302817	−	0.931976i
$962$	27.6546	+	38.0633i	0.891620	+	1.22721i
$963$	−22.5177	+	7.05331i	−0.725621	+	0.227290i
$964$	25.7910	−	8.38000i	0.830671	−	0.269901i
$965$	−9.77369	+	30.0803i	−0.314626	+	0.968320i
$966$	−6.93286	−	7.00678i	−0.223061	−	0.225439i
$967$		−	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	0.977832	−	0.209393i	$-0.0671488\pi$
$971$	51.2857	+	16.6637i	1.64584	+	0.534764i	0.668004	+	0.744158i	$0.267149\pi$
$972$	−7.44274	+	13.6969i	−0.238726	+	0.439329i
$973$	1.00585	−	0.730794i	0.0322461	−	0.0234282i
$974$	−27.1544	+	19.7288i	−0.870084	+	0.632153i
$975$	11.4506	−	1.75141i	0.366713	−	0.0560900i
$976$	−9.51319	−	3.09102i	−0.304510	−	0.0989413i
$977$	−3.31542	+	4.56329i	−0.106070	+	0.145992i	−0.858752	−	0.512391i	$-0.828760\pi$
$977$	−3.31542	+	4.56329i	−0.106070	+	0.145992i	0.752682	+	0.658384i	$0.228760\pi$
$978$	12.4809	+	2.04467i	0.399094	+	0.0653814i
$979$	−34.6816	+	18.1128i	−1.10843	+	0.578889i
$980$		−	2.44458i		−	0.0780892i
$981$	−23.8413	+	16.9384i	−0.761195	+	0.540801i
$982$	4.19669	−	12.9161i	0.133922	−	0.412169i
$983$	−23.8404	+	7.74622i	−0.760391	+	0.247066i	−0.663447	−	0.748224i	$-0.730907\pi$
$983$	−23.8404	+	7.74622i	−0.760391	+	0.247066i	−0.0969448	+	0.995290i	$0.530907\pi$
$984$	−13.9908	+	7.03545i	−0.446009	+	0.224282i
$985$	22.4807	+	30.9420i	0.716294	+	0.985894i
$986$	2.92342	+	8.99735i	0.0931006	+	0.286534i
$987$	−4.02382	+	7.79473i	−0.128080	+	0.248109i
$988$	35.8501	+	26.0466i	1.14054	+	0.828653i
$989$	35.0968			1.11601
$990$	21.6661	+	11.0544i	0.688595	+	0.351331i
$991$	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
$993$	−18.3957	+	35.6353i	−0.583771	+	1.13085i
$994$	−2.34576	−	7.21951i	−0.0744030	−	0.228989i
$995$	−17.1201	−	23.5638i	−0.542743	−	0.747021i
$996$	4.00184	−	2.01238i	0.126803	−	0.0637648i
$997$	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
$999$	−15.6889	−	32.0412i	−0.496374	−	1.01374i

Twists

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

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

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.794507 - 1.53908i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.43689 - 1.97771i) q^{5} +(1.54742 - 0.778140i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.73752 - 2.44562i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.794507 - 1.53908i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.43689 - 1.97771i) q^{5} +(1.54742 - 0.778140i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.73752 - 2.44562i) 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} +(-4.18546 + 0.640180i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.36689 + 0.993107i) q^{17} +(0.0318154 - 2.99983i) 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} +(1.21823 + 1.23122i) q^{24} +(-0.301591 + 0.928202i) q^{25} +(6.51718 - 2.11756i) q^{26} +(-5.14446 + 0.731115i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(-1.73027 - 5.32522i) q^{29} +(-3.76240 - 1.94224i) q^{30} +(-0.638022 - 0.463550i) q^{31} -1.00000 q^{32} +(-5.74450 + 0.0273184i) q^{33} -1.68957 q^{34} +(1.97771 + 1.43689i) q^{35} +(1.78900 - 2.40821i) q^{36} +(2.12167 + 6.52982i) q^{37} +(3.80100 + 5.23162i) q^{38} +(-5.33226 - 10.6038i) q^{39} +(2.32493 - 0.755417i) q^{40} +(-2.79393 + 8.59884i) q^{41} +(-1.23122 + 1.21823i) 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} +(0.261877 + 1.71214i) q^{48} +(0.809017 - 0.587785i) q^{49} +(-0.789576 + 0.573660i) q^{50} +(0.442461 + 2.89279i) 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} +(7.96187 - 7.87788i) q^{57} +(1.73027 - 5.32522i) q^{58} +(13.0119 - 4.22781i) q^{59} +(-1.90223 - 3.78278i) q^{60} +(5.87948 + 8.09241i) q^{61} +(-0.243703 - 0.750040i) q^{62} +(2.40821 + 1.78900i) q^{63} +(-0.809017 - 0.587785i) q^{64} -16.7517 q^{65} +(-4.66345 - 3.35443i) q^{66} -1.03374 q^{67} +(-1.36689 - 0.993107i) q^{68} +(8.75876 + 4.52147i) q^{69} +(0.755417 + 2.32493i) q^{70} +(4.46190 + 6.14128i) q^{71} +(2.86284 - 0.896741i) q^{72} +(0.108422 - 0.0352283i) q^{73} +(-2.12167 + 6.52982i) q^{74} +(1.18896 + 1.20163i) 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} +(-2.96207 + 8.49860i) q^{81} +(-7.31461 + 5.31438i) q^{82} +(2.09224 - 1.52010i) q^{83} +(-1.71214 + 0.261877i) 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} +(-5.97850 + 4.24750i) q^{90} +(-2.11756 + 6.51718i) q^{91} +(-5.41238 + 1.75859i) q^{92} +(-1.22035 + 0.613671i) q^{93} +(2.97687 + 4.09731i) q^{94} +(-4.88501 - 15.0345i) q^{95} +(-0.794507 + 1.53908i) q^{96} +(0.828161 + 0.601694i) q^{97} +1.00000 q^{98} +(-4.52200 + 8.86293i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

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