LMFDB - Embedded newform 462.2.w.a.29.2

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			29.2
Character	$\chi$	$=$	462.29
Dual form			462.2.w.a.239.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(-1.63583 - 0.569257i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.732542 - 1.00826i) q^{5} +(0.988815 + 1.42206i) q^{6} +(0.951057 - 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.35189 + 1.86242i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(-1.63583 - 0.569257i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.732542 - 1.00826i) q^{5} +(0.988815 + 1.42206i) q^{6} +(0.951057 - 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.35189 + 1.86242i) q^{9} +1.24628i q^{10} +(3.01973 + 1.37158i) q^{11} +(0.0358961 - 1.73168i) q^{12} +(1.55712 - 2.14320i) q^{13} +(-0.951057 - 0.309017i) q^{14} +(0.624358 + 2.06635i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.0657267 - 0.0477532i) q^{17} +(-0.808018 - 2.88914i) q^{18} +(-6.03856 - 1.96205i) q^{19} +(0.732542 - 1.00826i) q^{20} +(-1.73168 - 0.0358961i) q^{21} +(-1.63682 - 2.88458i) q^{22} -4.41465i q^{23} +(-1.04690 + 1.37986i) q^{24} +(1.06512 - 3.27810i) q^{25} +(-2.51948 + 0.818629i) q^{26} +(-2.78710 - 4.38544i) q^{27} +(0.587785 + 0.809017i) q^{28} +(0.273936 + 0.843089i) q^{29} +(0.709452 - 2.03870i) q^{30} +(-0.202547 - 0.147159i) q^{31} +1.00000 q^{32} +(-4.15899 - 3.96268i) q^{33} -0.0812426 q^{34} +(-1.00826 - 0.732542i) q^{35} +(-1.04449 + 2.81230i) q^{36} +(-1.01394 - 3.12058i) q^{37} +(3.73204 + 5.13671i) q^{38} +(-3.76723 + 2.61951i) q^{39} +(-1.18528 + 0.385120i) q^{40} +(1.35843 - 4.18081i) q^{41} +(1.37986 + 1.04690i) q^{42} -4.86438i q^{43} +(-0.371303 + 3.29578i) q^{44} +(0.154938 - 3.73562i) q^{45} +(-2.59487 + 3.57153i) q^{46} +(-6.48107 - 2.10583i) q^{47} +(1.65802 - 0.500979i) q^{48} +(0.809017 - 0.587785i) q^{49} +(-2.78852 + 2.02598i) q^{50} +(-0.134702 + 0.0407008i) q^{51} +(2.51948 + 0.818629i) q^{52} +(1.70002 - 2.33987i) q^{53} +(-0.322880 + 5.18611i) q^{54} +(-0.829172 - 4.04941i) q^{55} -1.00000i q^{56} +(8.76117 + 6.64708i) q^{57} +(0.273936 - 0.843089i) q^{58} +(-0.184733 + 0.0600233i) q^{59} +(-1.77227 + 1.23234i) q^{60} +(-4.87122 - 6.70466i) q^{61} +(0.0773660 + 0.238108i) q^{62} +(2.81230 + 1.04449i) q^{63} +(-0.809017 - 0.587785i) q^{64} -3.30156 q^{65} +(1.03549 + 5.65047i) q^{66} -5.46846 q^{67} +(0.0657267 + 0.0477532i) q^{68} +(-2.51307 + 7.22163i) q^{69} +(0.385120 + 1.18528i) q^{70} +(7.04526 + 9.69696i) q^{71} +(2.49804 - 1.66126i) q^{72} +(15.7240 - 5.10905i) q^{73} +(-1.01394 + 3.12058i) q^{74} +(-3.60844 + 4.75609i) q^{75} -6.34932i q^{76} +(3.29578 + 0.371303i) q^{77} +(4.58746 + 0.0950937i) q^{78} +(-5.39097 + 7.42004i) q^{79} +(1.18528 + 0.385120i) q^{80} +(2.06279 + 8.76042i) q^{81} +(-3.55641 + 2.58388i) q^{82} +(-3.69585 + 2.68519i) q^{83} +(-0.500979 - 1.65802i) q^{84} +(-0.0962952 - 0.0312882i) q^{85} +(-2.85921 + 3.93536i) q^{86} +(0.0318210 - 1.53509i) q^{87} +(2.23760 - 2.44809i) q^{88} -12.0662i q^{89} +(-2.32109 + 2.93111i) q^{90} +(0.818629 - 2.51948i) q^{91} +(4.19858 - 1.36420i) q^{92} +(0.247561 + 0.356029i) q^{93} +(4.00552 + 5.51313i) q^{94} +(2.44525 + 7.52572i) q^{95} +(-1.63583 - 0.569257i) q^{96} +(10.4778 + 7.61258i) q^{97} -1.00000 q^{98} +(4.54762 + 8.84981i) 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
$3$	−1.63583	−	0.569257i	−0.944448	−	0.328661i
$3$	−1.63583	−	0.569257i	−0.944448	−	0.328661i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−0.732542	−	1.00826i	−0.327603	−	0.450907i	0.613167	−	0.789954i	$-0.289895\pi$
$5$	−0.732542	−	1.00826i	−0.327603	−	0.450907i	−0.940769	+	0.339047i	$0.889895\pi$
$6$	0.988815	+	1.42206i	0.403682	+	0.580552i
$7$	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
$9$	2.35189	+	1.86242i	0.783964	+	0.620806i
$10$			1.24628i			0.394107i
$11$	3.01973	+	1.37158i	0.910483	+	0.413547i
$11$	3.01973	+	1.37158i	0.910483	+	0.413547i
$12$	0.0358961	−	1.73168i	0.0103623	−	0.499893i
$13$	1.55712	−	2.14320i	0.431869	−	0.594416i	−0.536512	−	0.843893i	$-0.680258\pi$
$13$	1.55712	−	2.14320i	0.431869	−	0.594416i	0.968381	+	0.249476i	$0.0802585\pi$
$14$	−0.951057	−	0.309017i	−0.254181	−	0.0825883i
$15$	0.624358	+	2.06635i	0.161209	+	0.533528i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	0.0657267	−	0.0477532i	0.0159411	−	0.0115819i	−0.579786	−	0.814769i	$-0.696864\pi$
$17$	0.0657267	−	0.0477532i	0.0159411	−	0.0115819i	0.595727	+	0.803187i	$0.296864\pi$
$18$	−0.808018	−	2.88914i	−0.190452	−	0.680976i
$19$	−6.03856	−	1.96205i	−1.38534	−	0.450125i	−0.480920	−	0.876765i	$-0.659697\pi$
$19$	−6.03856	−	1.96205i	−1.38534	−	0.450125i	−0.904422	+	0.426640i	$0.859697\pi$
$20$	0.732542	−	1.00826i	0.163801	−	0.225453i
$21$	−1.73168	−	0.0358961i	−0.377883	−	0.00783317i
$22$	−1.63682	−	2.88458i	−0.348971	−	0.614996i
$23$		−	4.41465i		−	0.920519i	−0.887784	−	0.460259i	$-0.847756\pi$
$23$		−	4.41465i		−	0.920519i	0.887784	−	0.460259i	$-0.152244\pi$
$24$	−1.04690	+	1.37986i	−0.213697	+	0.281662i
$25$	1.06512	−	3.27810i	0.213024	−	0.655620i
$26$	−2.51948	+	0.818629i	−0.494111	+	0.160546i
$27$	−2.78710	−	4.38544i	−0.536378	−	0.843978i
$28$	0.587785	+	0.809017i	0.111081	+	0.152890i
$29$	0.273936	+	0.843089i	0.0508687	+	0.156558i	0.973264	−	0.229690i	$-0.0737711\pi$
$29$	0.273936	+	0.843089i	0.0508687	+	0.156558i	−0.922395	+	0.386247i	$0.873771\pi$
$30$	0.709452	−	2.03870i	0.129528	−	0.372214i
$31$	−0.202547	−	0.147159i	−0.0363785	−	0.0264305i	0.569447	−	0.822028i	$-0.307157\pi$
$31$	−0.202547	−	0.147159i	−0.0363785	−	0.0264305i	−0.605826	+	0.795597i	$0.707157\pi$
$32$	1.00000			0.176777
$33$	−4.15899	−	3.96268i	−0.723987	−	0.689814i
$34$	−0.0812426			−0.0139330
$35$	−1.00826	−	0.732542i	−0.170427	−	0.123822i
$36$	−1.04449	+	2.81230i	−0.174082	+	0.468717i
$37$	−1.01394	−	3.12058i	−0.166690	−	0.513020i	0.832467	−	0.554075i	$-0.186928\pi$
$37$	−1.01394	−	3.12058i	−0.166690	−	0.513020i	−0.999157	+	0.0410552i	$0.986928\pi$
$38$	3.73204	+	5.13671i	0.605416	+	0.833284i
$39$	−3.76723	+	2.61951i	−0.603239	+	0.419457i
$40$	−1.18528	+	0.385120i	−0.187409	+	0.0608929i
$41$	1.35843	−	4.18081i	0.212151	−	0.652932i	−0.787193	−	0.616707i	$-0.788466\pi$
$41$	1.35843	−	4.18081i	0.212151	−	0.652932i	0.999344	−	0.0362257i	$-0.0115335\pi$
$42$	1.37986	+	1.04690i	0.212917	+	0.161540i
$43$		−	4.86438i		−	0.741811i	−0.928671	−	0.370905i	$-0.879047\pi$
$43$		−	4.86438i		−	0.741811i	0.928671	−	0.370905i	$-0.120953\pi$
$44$	−0.371303	+	3.29578i	−0.0559761	+	0.496857i
$45$	0.154938	−	3.73562i	0.0230968	−	0.556873i
$46$	−2.59487	+	3.57153i	−0.382592	+	0.526593i
$47$	−6.48107	−	2.10583i	−0.945362	−	0.307167i	−0.204532	−	0.978860i	$-0.565567\pi$
$47$	−6.48107	−	2.10583i	−0.945362	−	0.307167i	−0.740830	+	0.671693i	$0.765567\pi$
$48$	1.65802	−	0.500979i	0.239314	−	0.0723101i
$49$	0.809017	−	0.587785i	0.115574	−	0.0839693i
$50$	−2.78852	+	2.02598i	−0.394356	+	0.286516i
$51$	−0.134702	+	0.0407008i	−0.0188620	+	0.00569926i
$52$	2.51948	+	0.818629i	0.349389	+	0.113523i
$53$	1.70002	−	2.33987i	0.233515	−	0.321406i	−0.676138	−	0.736775i	$-0.736348\pi$
$53$	1.70002	−	2.33987i	0.233515	−	0.321406i	0.909653	+	0.415369i	$0.136348\pi$
$54$	−0.322880	+	5.18611i	−0.0439384	+	0.705740i
$55$	−0.829172	−	4.04941i	−0.111806	−	0.546022i
$56$		−	1.00000i		−	0.133631i
$57$	8.76117	+	6.64708i	1.16044	+	0.880427i
$58$	0.273936	−	0.843089i	0.0359696	−	0.110703i
$59$	−0.184733	+	0.0600233i	−0.0240501	+	0.00781436i	−0.321017	−	0.947073i	$-0.604025\pi$
$59$	−0.184733	+	0.0600233i	−0.0240501	+	0.00781436i	0.296967	+	0.954888i	$0.404025\pi$
$60$	−1.77227	+	1.23234i	−0.228800	+	0.159094i
$61$	−4.87122	−	6.70466i	−0.623696	−	0.858444i	0.373919	−	0.927461i	$-0.378014\pi$
$61$	−4.87122	−	6.70466i	−0.623696	−	0.858444i	−0.997615	+	0.0690172i	$0.978014\pi$
$62$	0.0773660	+	0.238108i	0.00982549	+	0.0302398i
$63$	2.81230	+	1.04449i	0.354317	+	0.131593i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−3.30156			−0.409508
$66$	1.03549	+	5.65047i	0.127460	+	0.695524i
$67$	−5.46846			−0.668079			−0.334040	−	0.942559i	$-0.608412\pi$
$67$	−5.46846			−0.668079			−0.334040	+	0.942559i	$0.608412\pi$
$68$	0.0657267	+	0.0477532i	0.00797053	+	0.00579093i
$69$	−2.51307	+	7.22163i	−0.302539	+	0.869382i
$70$	0.385120	+	1.18528i	0.0460307	+	0.141668i
$71$	7.04526	+	9.69696i	0.836118	+	1.15082i	0.986753	+	0.162228i	$0.0518681\pi$
$71$	7.04526	+	9.69696i	0.836118	+	1.15082i	−0.150635	+	0.988589i	$0.548132\pi$
$72$	2.49804	−	1.66126i	0.294397	−	0.195782i
$73$	15.7240	−	5.10905i	1.84036	−	0.597969i	0.842078	−	0.539355i	$-0.181332\pi$
$73$	15.7240	−	5.10905i	1.84036	−	0.597969i	0.998281	−	0.0586134i	$-0.0186679\pi$
$74$	−1.01394	+	3.12058i	−0.117868	+	0.362760i
$75$	−3.60844	+	4.75609i	−0.416666	+	0.549186i
$76$		−	6.34932i		−	0.728317i
$77$	3.29578	+	0.371303i	0.375588	+	0.0423139i
$78$	4.58746	+	0.0950937i	0.519427	+	0.0107672i
$79$	−5.39097	+	7.42004i	−0.606532	+	0.834819i	−0.996287	−	0.0860993i	$-0.972560\pi$
$79$	−5.39097	+	7.42004i	−0.606532	+	0.834819i	0.389755	+	0.920919i	$0.372560\pi$
$80$	1.18528	+	0.385120i	0.132518	+	0.0430578i
$81$	2.06279	+	8.76042i	0.229199	+	0.973380i
$82$	−3.55641	+	2.58388i	−0.392739	+	0.285342i
$83$	−3.69585	+	2.68519i	−0.405673	+	0.294738i	−0.771848	−	0.635808i	$-0.780667\pi$
$83$	−3.69585	+	2.68519i	−0.405673	+	0.294738i	0.366175	+	0.930546i	$0.380667\pi$
$84$	−0.500979	−	1.65802i	−0.0546613	−	0.180904i
$85$	−0.0962952	−	0.0312882i	−0.0104447	−	0.00339368i
$86$	−2.85921	+	3.93536i	−0.308317	+	0.424361i
$87$	0.0318210	−	1.53509i	0.00341157	−	0.164579i
$88$	2.23760	−	2.44809i	0.238529	−	0.260967i
$89$		−	12.0662i		−	1.27902i	−0.768785	−	0.639508i	$-0.779138\pi$
$89$		−	12.0662i		−	1.27902i	0.768785	−	0.639508i	$-0.220862\pi$
$90$	−2.32109	+	2.93111i	−0.244664	+	0.308966i
$91$	0.818629	−	2.51948i	0.0858156	−	0.264113i
$92$	4.19858	−	1.36420i	0.437733	−	0.142228i
$93$	0.247561	+	0.356029i	0.0256709	+	0.0369184i
$94$	4.00552	+	5.51313i	0.413138	+	0.568636i
$95$	2.44525	+	7.52572i	0.250878	+	0.772122i
$96$	−1.63583	−	0.569257i	−0.166956	−	0.0580996i
$97$	10.4778	+	7.61258i	1.06386	+	0.772941i	0.974799	−	0.223085i	$-0.0716128\pi$
$97$	10.4778	+	7.61258i	1.06386	+	0.772941i	0.0890629	+	0.996026i	$0.471613\pi$
$98$	−1.00000			−0.101015
$99$	4.54762	+	8.84981i	0.457053	+	0.889439i
$100$	3.44680			0.344680
$101$	8.31626	+	6.04211i	0.827498	+	0.601213i	0.918850	−	0.394606i	$-0.129119\pi$
$101$	8.31626	+	6.04211i	0.827498	+	0.601213i	−0.0913521	+	0.995819i	$0.529119\pi$
$102$	0.132899	+	0.0462480i	0.0131590	+	0.00457923i
$103$	0.982520	+	3.02388i	0.0968106	+	0.297952i	0.987721	−	0.156226i	$-0.0499329\pi$
$103$	0.982520	+	3.02388i	0.0968106	+	0.297952i	−0.890911	+	0.454178i	$0.849933\pi$
$104$	−1.55712	−	2.14320i	−0.152689	−	0.210158i
$105$	1.23234	+	1.77227i	0.120264	+	0.172956i
$106$	−2.75068	+	0.893751i	−0.267170	+	0.0868088i
$107$	3.90609	−	12.0217i	0.377616	−	1.16218i	−0.564081	−	0.825720i	$-0.690769\pi$
$107$	3.90609	−	12.0217i	0.377616	−	1.16218i	0.941697	−	0.336463i	$-0.109231\pi$
$108$	3.30953	−	4.00587i	0.318460	−	0.385465i
$109$		−	15.7046i		−	1.50422i	−0.659035	−	0.752112i	$-0.729035\pi$
$109$		−	15.7046i		−	1.50422i	0.659035	−	0.752112i	$-0.270965\pi$
$110$	−1.70937	+	3.76342i	−0.162982	+	0.358828i
$111$	−0.117781	+	5.68194i	−0.0111793	+	0.539306i
$112$	−0.587785	+	0.809017i	−0.0555405	+	0.0764449i
$113$	16.5932	+	5.39146i	1.56096	+	0.507186i	0.957063	−	0.289879i	$-0.0936152\pi$
$113$	16.5932	+	5.39146i	1.56096	+	0.507186i	0.603894	+	0.797065i	$0.293615\pi$
$114$	−3.18088	−	10.5273i	−0.297916	−	0.985970i
$115$	−4.45111	+	3.23392i	−0.415068	+	0.301565i
$116$	−0.717174	+	0.521058i	−0.0665880	+	0.0483790i
$117$	7.65372	−	2.14055i	0.707587	−	0.197894i
$118$	0.184733	+	0.0600233i	0.0170060	+	0.00552559i
$119$	0.0477532	−	0.0657267i	0.00437753	−	0.00602515i
$120$	2.15815	+	0.0447364i	0.197011	+	0.00408386i
$121$	7.23753	+	8.28361i	0.657957	+	0.753055i
$122$			8.28742i			0.750308i
$123$	−4.60211	+	6.06580i	−0.414959	+	0.546935i
$124$	0.0773660	−	0.238108i	0.00694767	−	0.0213827i
$125$	−10.0118	+	3.25303i	−0.895483	+	0.290960i
$126$	−1.66126	−	2.49804i	−0.147997	−	0.222543i
$127$	−4.89496	−	6.73733i	−0.434357	−	0.597841i	0.534589	−	0.845112i	$-0.320466\pi$
$127$	−4.89496	−	6.73733i	−0.434357	−	0.597841i	−0.968946	+	0.247271i	$0.920466\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	−2.76908	+	7.95730i	−0.243804	+	0.700602i
$130$	2.67102	+	1.94061i	0.234264	+	0.170202i
$131$	−7.53473			−0.658313			−0.329156	−	0.944275i	$-0.606764\pi$
$131$	−7.53473			−0.658313			−0.329156	+	0.944275i	$0.606764\pi$
$132$	2.48353	−	5.17997i	0.216164	−	0.450858i
$133$	−6.34932			−0.550556
$134$	4.42408	+	3.21428i	0.382182	+	0.277672i
$135$	−2.37998	+	6.02264i	−0.204836	+	0.518346i
$136$	−0.0251054	−	0.0772663i	−0.00215277	−	0.00662553i
$137$	2.72328	+	3.74828i	0.232666	+	0.320237i	0.909346	−	0.416040i	$-0.136582\pi$
$137$	2.72328	+	3.74828i	0.232666	+	0.320237i	−0.676681	+	0.736276i	$0.736582\pi$
$138$	6.27789	−	4.36527i	0.534409	−	0.371597i
$139$	1.45288	−	0.472070i	0.123232	−	0.0400405i	−0.246752	−	0.969079i	$-0.579363\pi$
$139$	1.45288	−	0.472070i	0.123232	−	0.0400405i	0.369984	+	0.929038i	$0.379363\pi$
$140$	0.385120	−	1.18528i	0.0325486	−	0.100174i
$141$	9.40319	+	7.13418i	0.791891	+	0.600806i
$142$		−	11.9861i		−	1.00585i
$143$	7.64167	−	4.33616i	0.639028	−	0.362608i
$144$	−2.99742	−	0.124321i	−0.249785	−	0.0103601i
$145$	0.649382	−	0.893797i	0.0539282	−	0.0742258i
$146$	−15.7240	−	5.10905i	−1.30133	−	0.422828i
$147$	−1.65802	+	0.500979i	−0.136751	+	0.0413200i
$148$	2.65452	−	1.92862i	0.218201	−	0.158532i
$149$	−14.7036	+	10.6828i	−1.20456	+	0.875167i	−0.994726	−	0.102569i	$-0.967294\pi$
$149$	−14.7036	+	10.6828i	−1.20456	+	0.875167i	−0.209838	+	0.977736i	$0.567294\pi$
$150$	5.71485	−	1.72677i	0.466615	−	0.140990i
$151$	−19.2860	−	6.26640i	−1.56947	−	0.509953i	−0.610155	−	0.792282i	$-0.708893\pi$
$151$	−19.2860	−	6.26640i	−1.56947	−	0.509953i	−0.959317	+	0.282330i	$0.908893\pi$
$152$	−3.73204	+	5.13671i	−0.302708	+	0.416642i
$153$	0.243519	+	0.0101002i	0.0196873	+	0.000816550i
$154$	−2.44809	−	2.23760i	−0.197273	−	0.180311i
$155$			0.312020i			0.0250620i
$156$	−3.65544	−	2.77337i	−0.292669	−	0.222048i
$157$	−0.789110	+	2.42863i	−0.0629778	+	0.193826i	−0.977595	−	0.210496i	$-0.932492\pi$
$157$	−0.789110	+	2.42863i	−0.0629778	+	0.193826i	0.914617	+	0.404321i	$0.132492\pi$
$158$	8.72278	−	2.83420i	0.693947	−	0.225477i
$159$	−4.11293	+	2.85989i	−0.326176	+	0.226804i
$160$	−0.732542	−	1.00826i	−0.0579126	−	0.0797098i
$161$	−1.36420	−	4.19858i	−0.107514	−	0.330895i
$162$	3.48041	−	8.29980i	0.273447	−	0.652094i
$163$	13.3127	+	9.67227i	1.04273	+	0.757591i	0.970817	−	0.239820i	$-0.0770885\pi$
$163$	13.3127	+	9.67227i	1.04273	+	0.757591i	0.0719166	+	0.997411i	$0.477088\pi$
$164$	4.39596			0.343267
$165$	−0.948769	+	7.09616i	−0.0738616	+	0.552436i
$166$	4.56833			0.354571
$167$	−5.84533	−	4.24688i	−0.452325	−	0.328633i	0.338188	−	0.941079i	$-0.390186\pi$
$167$	−5.84533	−	4.24688i	−0.452325	−	0.328633i	−0.790513	+	0.612445i	$0.790186\pi$
$168$	−0.569257	+	1.63583i	−0.0439192	+	0.126207i
$169$	1.84856	+	5.68928i	0.142197	+	0.437637i
$170$	0.0595137	+	0.0819136i	0.00456449	+	0.00628248i
$171$	−10.5479	−	15.8609i	−0.806618	−	1.21291i
$172$	4.62630	−	1.50318i	0.352752	−	0.114616i
$173$	7.01671	−	21.5952i	0.533470	−	1.64185i	−0.213461	−	0.976952i	$-0.568474\pi$
$173$	7.01671	−	21.5952i	0.533470	−	1.64185i	0.746932	−	0.664901i	$-0.231526\pi$
$174$	−0.928048	+	1.22321i	−0.0703552	+	0.0927314i
$175$		−	3.44680i		−	0.260553i
$176$	−3.24921	+	0.665320i	−0.244918	+	0.0501504i
$177$	0.336360	+	0.00697244i	0.0252824	+	0.000524080i
$178$	−7.09234	+	9.76176i	−0.531593	+	0.731675i
$179$	2.68562	+	0.872610i	0.200732	+	0.0652219i	0.407658	−	0.913135i	$-0.366346\pi$
$179$	2.68562	+	0.872610i	0.200732	+	0.0652219i	−0.206925	+	0.978357i	$0.566346\pi$
$180$	3.60066	−	1.00701i	0.268377	−	0.0750584i
$181$	−1.86523	+	1.35517i	−0.138642	+	0.100729i	−0.654944	−	0.755677i	$-0.727308\pi$
$181$	−1.86523	+	1.35517i	−0.138642	+	0.100729i	0.516303	+	0.856406i	$0.327308\pi$
$182$	−2.14320	+	1.55712i	−0.158864	+	0.115422i
$183$	4.15182	+	13.7407i	0.306912	+	1.01574i
$184$	−4.19858	−	1.36420i	−0.309524	−	0.100570i
$185$	−2.40360	+	3.30827i	−0.176716	+	0.243229i
$186$	0.00898701	−	0.433546i	0.000658959	−	0.0317891i
$187$	0.263974	−	0.0540524i	0.0193037	−	0.00395270i
$188$		−	6.81461i		−	0.497006i
$189$	−4.00587	−	3.30953i	−0.291384	−	0.240733i
$190$	2.44525	−	7.52572i	0.177397	−	0.545973i
$191$	16.3970	−	5.32771i	1.18645	−	0.385499i	0.351688	−	0.936117i	$-0.385608\pi$
$191$	16.3970	−	5.32771i	1.18645	−	0.385499i	0.834757	+	0.550618i	$0.185608\pi$
$192$	0.988815	+	1.42206i	0.0713616	+	0.102628i
$193$	−1.38496	−	1.90623i	−0.0996916	−	0.137214i	0.756257	−	0.654275i	$-0.227026\pi$
$193$	−1.38496	−	1.90623i	−0.0996916	−	0.137214i	−0.855949	+	0.517061i	$0.827026\pi$
$194$	−4.00217	−	12.3174i	−0.287339	−	0.884339i
$195$	5.40079	+	1.87944i	0.386759	+	0.134589i
$196$	0.809017	+	0.587785i	0.0577869	+	0.0419847i
$197$	−12.5734			−0.895817			−0.447909	−	0.894079i	$-0.647831\pi$
$197$	−12.5734			−0.895817			−0.447909	+	0.894079i	$0.647831\pi$
$198$	1.52269	−	9.83267i	0.108213	−	0.698778i
$199$	−0.936810			−0.0664087			−0.0332044	−	0.999449i	$-0.510571\pi$
$199$	−0.936810			−0.0664087			−0.0332044	+	0.999449i	$0.510571\pi$
$200$	−2.78852	−	2.02598i	−0.197178	−	0.143258i
$201$	8.94549	+	3.11296i	0.630966	+	0.219571i
$202$	−3.17653	−	9.77635i	−0.223500	−	0.687861i
$203$	0.521058	+	0.717174i	0.0365711	+	0.0503358i
$204$	−0.0803339	−	0.115532i	−0.00562450	−	0.00808883i
$205$	−5.21044	+	1.69297i	−0.363913	+	0.118242i
$206$	0.982520	−	3.02388i	0.0684554	−	0.210684i
$207$	8.22193	−	10.3828i	0.571464	−	0.721654i
$208$			2.64914i			0.183685i
$209$	−15.5437	−	14.2072i	−1.07518	−	0.982735i
$210$	0.0447364	−	2.15815i	0.00308711	−	0.148926i
$211$	−16.2536	+	22.3711i	−1.11894	+	1.54009i	−0.311401	+	0.950279i	$0.600798\pi$
$211$	−16.2536	+	22.3711i	−1.11894	+	1.54009i	−0.807540	+	0.589812i	$0.799202\pi$
$212$	2.75068	+	0.893751i	0.188918	+	0.0613831i
$213$	−6.00479	−	19.8732i	−0.411441	−	1.36169i
$214$	−10.2263	+	7.42982i	−0.699054	+	0.507892i
$215$	−4.90455	+	3.56336i	−0.334487	+	0.243019i
$216$	−5.03206	+	1.29552i	−0.342388	+	0.0881489i
$217$	−0.238108	−	0.0773660i	−0.0161638	−	0.00525195i
$218$	−9.23091	+	12.7053i	−0.625196	+	0.860508i
$219$	−28.6302	−	0.593478i	−1.93465	−	0.0401035i
$220$	3.59499	−	2.03993i	0.242374	−	0.137532i
$221$		−	0.215223i		−	0.0144775i
$222$	3.43505	−	4.52755i	0.230545	−	0.303869i
$223$	−5.97238	+	18.3811i	−0.399940	+	1.23089i	0.525107	+	0.851036i	$0.324025\pi$
$223$	−5.97238	+	18.3811i	−0.399940	+	1.23089i	−0.925047	+	0.379853i	$0.875975\pi$
$224$	0.951057	−	0.309017i	0.0635451	−	0.0206471i
$225$	8.61024	−	5.72604i	0.574016	−	0.381736i
$226$	−10.2552	−	14.1150i	−0.682163	−	0.938917i
$227$	−2.64647	−	8.14500i	−0.175652	−	0.540602i	0.824010	−	0.566575i	$-0.191732\pi$
$227$	−2.64647	−	8.14500i	−0.175652	−	0.540602i	−0.999663	+	0.0259724i	$0.991732\pi$
$228$	−3.61440	+	10.3864i	−0.239369	+	0.687858i
$229$	22.1233	+	16.0735i	1.46195	+	1.06217i	0.982850	+	0.184407i	$0.0590365\pi$
$229$	22.1233	+	16.0735i	1.46195	+	1.06217i	0.479099	+	0.877761i	$0.340963\pi$
$230$	5.50187			0.362783
$231$	−5.17997	−	2.48353i	−0.340817	−	0.163405i
$232$	0.886476			0.0582000
$233$	−13.4251	−	9.75390i	−0.879507	−	0.638999i	0.0536141	−	0.998562i	$-0.482926\pi$
$233$	−13.4251	−	9.75390i	−0.879507	−	0.638999i	−0.933121	+	0.359563i	$0.882926\pi$
$234$	−7.45018	−	2.76700i	−0.487033	−	0.180885i
$235$	2.62444	+	8.07721i	0.171200	+	0.526899i
$236$	−0.114171	−	0.157143i	−0.00743190	−	0.0102291i
$237$	13.0426	−	9.06908i	0.847210	−	0.589100i
$238$	−0.0772663	+	0.0251054i	−0.00500843	+	0.00162734i
$239$	−1.24501	+	3.83176i	−0.0805333	+	0.247856i	−0.983214	−	0.182454i	$-0.941596\pi$
$239$	−1.24501	+	3.83176i	−0.0805333	+	0.247856i	0.902681	+	0.430310i	$0.141596\pi$
$240$	−1.71968	−	1.30472i	−0.111005	−	0.0842194i
$241$			26.4291i			1.70245i	0.524803	+	0.851223i	$0.324139\pi$
$241$			26.4291i			1.70245i	−0.524803	+	0.851223i	$0.675861\pi$
$242$	−0.986304	−	10.9557i	−0.0634020	−	0.704259i
$243$	1.61255	−	15.5048i	0.103445	−	0.994635i
$244$	4.87122	−	6.70466i	0.311848	−	0.429222i
$245$	−1.18528	−	0.385120i	−0.0757247	−	0.0246044i
$246$	7.28858	−	2.20228i	0.464703	−	0.140412i
$247$	−13.6079	+	9.88669i	−0.865847	+	0.629075i
$248$	−0.202547	+	0.147159i	−0.0128617	+	0.00934460i
$249$	7.57436	−	2.28863i	0.480006	−	0.145036i
$250$	10.0118	+	3.25303i	0.633202	+	0.205740i
$251$	9.67246	−	13.3130i	0.610520	−	0.840309i	−0.386100	−	0.922457i	$-0.626178\pi$
$251$	9.67246	−	13.3130i	0.610520	−	0.840309i	0.996620	+	0.0821481i	$0.0261780\pi$
$252$	−0.124321	+	2.99742i	−0.00783149	+	0.188820i
$253$	6.05505	−	13.3311i	0.380678	−	0.838116i
$254$			8.32780i			0.522533i
$255$	0.139712	+	0.105999i	0.00874908	+	0.00663791i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−23.0802	+	7.49921i	−1.43970	+	0.467788i	−0.921805	−	0.387654i	$-0.873285\pi$
$257$	−23.0802	+	7.49921i	−1.43970	+	0.467788i	−0.517898	+	0.855442i	$0.673285\pi$
$258$	6.91742	−	4.80997i	0.430660	−	0.299456i
$259$	−1.92862	−	2.65452i	−0.119839	−	0.164944i
$260$	−1.02024	−	3.13997i	−0.0632724	−	0.194733i
$261$	−0.925917	+	2.49304i	−0.0573128	+	0.154315i
$262$	6.09573	+	4.42881i	0.376595	+	0.273613i
$263$	22.5783			1.39224			0.696119	−	0.717927i	$-0.254909\pi$
$263$	22.5783			1.39224			0.696119	+	0.717927i	$0.254909\pi$
$264$	−5.05393	+	2.73090i	−0.311048	+	0.168075i
$265$	−3.60453			−0.221424
$266$	5.13671	+	3.73204i	0.314952	+	0.228826i
$267$	−6.86878	+	19.7383i	−0.420362	+	1.20796i
$268$	−1.68985	−	5.20082i	−0.103224	−	0.317690i
$269$	−8.09783	−	11.1457i	−0.493734	−	0.679566i	0.487338	−	0.873214i	$-0.337968\pi$
$269$	−8.09783	−	11.1457i	−0.493734	−	0.679566i	−0.981071	+	0.193648i	$0.937968\pi$
$270$	5.46546	−	3.47350i	0.332617	−	0.211391i
$271$	22.3162	−	7.25099i	1.35562	−	0.440466i	0.461038	−	0.887380i	$-0.347477\pi$
$271$	22.3162	−	7.25099i	1.35562	−	0.440466i	0.894577	+	0.446914i	$0.147477\pi$
$272$	−0.0251054	+	0.0772663i	−0.00152224	+	0.00468496i
$273$	−2.77337	+	3.65544i	−0.167852	+	0.221237i
$274$		−	4.63312i		−	0.279897i
$275$	7.71255	−	8.43807i	0.465084	−	0.508835i
$276$	−7.64476	−	0.158469i	−0.460161	−	0.00953870i
$277$	11.5788	−	15.9368i	0.695702	−	0.957551i	−0.304286	−	0.952581i	$-0.598418\pi$
$277$	11.5788	−	15.9368i	0.695702	−	0.957551i	0.999988	−	0.00497041i	$-0.00158214\pi$
$278$	−1.45288	−	0.472070i	−0.0871381	−	0.0283129i
$279$	−0.202297	−	0.723329i	−0.0121112	−	0.0433046i
$280$	−1.00826	+	0.732542i	−0.0602550	+	0.0437778i
$281$	19.2659	−	13.9975i	1.14931	−	0.835020i	0.160918	−	0.986968i	$-0.448555\pi$
$281$	19.2659	−	13.9975i	1.14931	−	0.835020i	0.988389	+	0.151948i	$0.0485545\pi$
$282$	−3.41397	−	11.2987i	−0.203299	−	0.672830i
$283$	2.21817	+	0.720728i	0.131857	+	0.0428428i	0.374202	−	0.927347i	$-0.377917\pi$
$283$	2.21817	+	0.720728i	0.131857	+	0.0428428i	−0.242345	+	0.970190i	$0.577917\pi$
$284$	−7.04526	+	9.69696i	−0.418059	+	0.575409i
$285$	0.284046	−	13.7028i	0.0168254	−	0.811683i
$286$	−8.73097	−	0.983634i	−0.516273	−	0.0581635i
$287$		−	4.39596i		−	0.259485i
$288$	2.35189	+	1.86242i	0.138587	+	0.109744i
$289$	−5.25125	+	16.1617i	−0.308897	+	0.950687i
$290$	−1.05072	+	0.341400i	−0.0617005	+	0.0200477i
$291$	−12.8064	−	18.4175i	−0.750727	−	1.07965i
$292$	9.71799	+	13.3757i	0.568702	+	0.782751i
$293$	6.29622	+	19.3778i	0.367829	+	1.13206i	0.948190	+	0.317703i	$0.102911\pi$
$293$	6.29622	+	19.3778i	0.367829	+	1.13206i	−0.580361	+	0.814359i	$0.697089\pi$
$294$	1.63583	+	0.569257i	0.0954037	+	0.0331998i
$295$	0.195843	+	0.142289i	0.0114024	+	0.00828436i
$296$	−3.28117			−0.190714
$297$	−2.40132	−	17.0656i	−0.139339	−	0.990245i
$298$	18.1746			1.05283
$299$	−9.46148	−	6.87417i	−0.547171	−	0.397543i
$300$	−5.63838	−	1.96211i	−0.325532	−	0.113283i
$301$	−1.50318	−	4.62630i	−0.0866416	−	0.266655i
$302$	11.9194	+	16.4057i	0.685885	+	0.944039i
$303$	−10.1645	−	14.6180i	−0.583934	−	0.839781i
$304$	6.03856	−	1.96205i	0.346335	−	0.112531i
$305$	−3.19165	+	9.82290i	−0.182754	+	0.562458i
$306$	−0.191074	−	0.151308i	−0.0109230	−	0.00864969i
$307$		−	10.8411i		−	0.618734i	−0.950943	−	0.309367i	$-0.899883\pi$
$307$		−	10.8411i		−	0.618734i	0.950943	−	0.309367i	$-0.100117\pi$
$308$	0.665320	+	3.24921i	0.0379101	+	0.185141i
$309$	0.114132	−	5.50587i	0.00649272	−	0.313218i
$310$	0.183401	−	0.252429i	0.0104165	−	0.0143370i
$311$	26.6151	+	8.64778i	1.50921	+	0.490371i	0.942687	−	0.333678i	$-0.108290\pi$
$311$	26.6151	+	8.64778i	1.50921	+	0.490371i	0.566519	+	0.824049i	$0.308290\pi$
$312$	1.32716	+	4.39232i	0.0751358	+	0.248666i
$313$	−18.9870	+	13.7948i	−1.07321	+	0.779730i	−0.976486	−	0.215581i	$-0.930835\pi$
$313$	−18.9870	+	13.7948i	−1.07321	+	0.779730i	−0.0967210	+	0.995312i	$0.530835\pi$
$314$	2.06592	−	1.50098i	0.116586	−	0.0847050i
$315$	−1.00701	−	3.60066i	−0.0567388	−	0.202874i
$316$	−8.72278	−	2.83420i	−0.490695	−	0.159436i
$317$	−2.62415	+	3.61183i	−0.147387	+	0.202861i	−0.876327	−	0.481717i	$-0.840013\pi$
$317$	−2.62415	+	3.61183i	−0.147387	+	0.202861i	0.728940	+	0.684578i	$0.240013\pi$
$318$	5.00843	+	0.103820i	0.280859	+	0.00582194i
$319$	−0.329152	+	2.92163i	−0.0184290	+	0.163580i
$320$			1.24628i			0.0696689i
$321$	−13.2332	+	17.4419i	−0.738603	+	0.973513i
$322$	−1.36420	+	4.19858i	−0.0760241	+	0.233978i
$323$	−0.490589	+	0.159402i	−0.0272971	+	0.00886936i
$324$	−7.69421	+	4.66895i	−0.427456	+	0.259386i
$325$	−5.36709	−	7.38717i	−0.297713	−	0.409766i
$326$	−5.08501	−	15.6501i	−0.281633	−	0.866777i
$327$	−8.93994	+	25.6900i	−0.494380	+	1.42066i
$328$	−3.55641	−	2.58388i	−0.196370	−	0.142671i
$329$	−6.81461			−0.375701
$330$	4.93859	−	5.18324i	0.271860	−	0.285328i
$331$	16.9362			0.930899			0.465450	−	0.885074i	$-0.345893\pi$
$331$	16.9362			0.930899			0.465450	+	0.885074i	$0.345893\pi$
$332$	−3.69585	−	2.68519i	−0.202836	−	0.147369i
$333$	3.42715	−	9.22764i	0.187807	−	0.505672i
$334$	2.23272	+	6.87160i	0.122169	+	0.375997i
$335$	4.00588	+	5.51362i	0.218865	+	0.301241i
$336$	1.42206	−	0.988815i	0.0775796	−	0.0539443i
$337$	11.3200	−	3.67810i	0.616642	−	0.200359i	0.0159930	−	0.999872i	$-0.494909\pi$
$337$	11.3200	−	3.67810i	0.616642	−	0.200359i	0.600649	+	0.799513i	$0.294909\pi$
$338$	1.84856	−	5.68928i	0.100548	−	0.309456i
$339$	−24.0746	−	18.2653i	−1.30755	−	0.992036i
$340$		−	0.101251i		−	0.00549109i
$341$	−0.409796	−	0.722189i	−0.0221917	−	0.0391088i
$342$	−0.789354	+	19.0316i	−0.0426834	+	1.02911i
$343$	0.587785	−	0.809017i	0.0317374	−	0.0436828i
$344$	−4.62630	−	1.50318i	−0.249433	−	0.0810458i
$345$	9.12220	−	2.75632i	0.491123	−	0.148395i
$346$	−18.3700	+	13.3466i	−0.987576	+	0.717516i
$347$	−7.42315	+	5.39324i	−0.398496	+	0.289524i	−0.768928	−	0.639335i	$-0.779210\pi$
$347$	−7.42315	+	5.39324i	−0.398496	+	0.289524i	0.370432	+	0.928859i	$0.379210\pi$
$348$	1.46979	−	0.444106i	0.0787892	−	0.0238066i
$349$	0.482339	+	0.156722i	0.0258190	+	0.00838911i	0.321898	−	0.946774i	$-0.395679\pi$
$349$	0.482339	+	0.156722i	0.0258190	+	0.00838911i	−0.296079	+	0.955163i	$0.595679\pi$
$350$	−2.02598	+	2.78852i	−0.108293	+	0.149053i
$351$	−13.7387	−	0.855354i	−0.733319	−	0.0456554i
$352$	3.01973	+	1.37158i	0.160952	+	0.0731055i
$353$			18.5742i			0.988604i	0.869290	+	0.494302i	$0.164576\pi$
$353$			18.5742i			0.988604i	−0.869290	+	0.494302i	$0.835424\pi$
$354$	−0.268023	−	0.203348i	−0.0142453	−	0.0108078i
$355$	4.61609	−	14.2069i	0.244997	−	0.754023i
$356$	11.4756	−	3.72866i	0.608208	−	0.197619i
$357$	−0.115532	+	0.0803339i	−0.00611458	+	0.00425172i
$358$	−1.65980	−	2.28452i	−0.0877233	−	0.120741i
$359$	1.23451	+	3.79942i	0.0651548	+	0.200526i	0.978334	−	0.207032i	$-0.0663804\pi$
$359$	1.23451	+	3.79942i	0.0651548	+	0.200526i	−0.913179	+	0.407558i	$0.866380\pi$
$360$	−3.50490	−	1.30172i	−0.184725	−	0.0686069i
$361$	17.2433	+	12.5280i	0.907542	+	0.659368i
$362$	2.30555			0.121177
$363$	−7.12388	−	17.6706i	−0.373907	−	0.927466i
$364$	2.64914			0.138853
$365$	−16.6698	−	12.1113i	−0.872535	−	0.633934i
$366$	4.71767	−	13.5568i	0.246597	−	0.708626i
$367$	5.66403	+	17.4321i	0.295660	+	0.909948i	0.982999	+	0.183611i	$0.0587787\pi$
$367$	5.66403	+	17.4321i	0.295660	+	0.909948i	−0.687339	+	0.726337i	$0.741221\pi$
$368$	2.59487	+	3.57153i	0.135267	+	0.186179i
$369$	10.9813	−	7.30285i	0.571663	−	0.380171i
$370$	3.88910	−	1.26365i	0.202185	−	0.0656938i
$371$	0.893751	−	2.75068i	0.0464012	−	0.142808i
$372$	−0.262103	+	0.345464i	−0.0135894	+	0.0179115i
$373$			16.0989i			0.833569i	0.909005	+	0.416785i	$0.136843\pi$
$373$			16.0989i			0.833569i	−0.909005	+	0.416785i	$0.863157\pi$
$374$	−0.245331	−	0.111431i	−0.0126858	−	0.00576195i
$375$	18.2294	+	0.377880i	0.941365	+	0.0195136i
$376$	−4.00552	+	5.51313i	−0.206569	+	0.284318i
$377$	2.23346	+	0.725695i	0.115029	+	0.0373752i
$378$	1.29552	+	5.03206i	0.0666343	+	0.258821i
$379$	1.29141	−	0.938264i	0.0663353	−	0.0481954i	−0.554123	−	0.832435i	$-0.686946\pi$
$379$	1.29141	−	0.938264i	0.0663353	−	0.0481954i	0.620459	+	0.784239i	$0.286946\pi$
$380$	−6.40176	+	4.65115i	−0.328403	+	0.238599i
$381$	4.17205	+	13.8076i	0.213741	+	0.707386i
$382$	−16.3970	−	5.32771i	−0.838944	−	0.272589i
$383$	1.11034	−	1.52825i	0.0567355	−	0.0780897i	−0.779707	−	0.626145i	$-0.784632\pi$
$383$	1.11034	−	1.52825i	0.0567355	−	0.0780897i	0.836442	+	0.548055i	$0.184632\pi$
$384$	0.0358961	−	1.73168i	0.00183181	−	0.0883694i
$385$	−2.03993	−	3.59499i	−0.103964	−	0.183218i
$386$			2.35624i			0.119929i
$387$	9.05951	−	11.4405i	0.460521	−	0.581553i
$388$	−4.00217	+	12.3174i	−0.203180	+	0.625322i
$389$	−25.4631	+	8.27348i	−1.29103	+	0.419482i	−0.872453	−	0.488698i	$-0.837472\pi$
$389$	−25.4631	+	8.27348i	−1.29103	+	0.419482i	−0.418580	+	0.908180i	$0.637472\pi$
$390$	−3.26463	−	4.69500i	−0.165311	−	0.237741i
$391$	−0.210814	−	0.290160i	−0.0106613	−	0.0146740i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	12.3256	+	4.28920i	0.621742	+	0.216362i
$394$	10.1721	+	7.39046i	0.512463	+	0.372326i
$395$	11.4304			0.575127
$396$	−7.01138	+	7.05978i	−0.352335	+	0.354768i
$397$	−13.4730			−0.676191			−0.338095	−	0.941112i	$-0.609783\pi$
$397$	−13.4730			−0.676191			−0.338095	+	0.941112i	$0.609783\pi$
$398$	0.757895	+	0.550643i	0.0379899	+	0.0276013i
$399$	10.3864	+	3.61440i	0.519972	+	0.180946i
$400$	1.06512	+	3.27810i	0.0532559	+	0.163905i
$401$	16.5880	+	22.8315i	0.828367	+	1.14015i	0.988225	+	0.153009i	$0.0488965\pi$
$401$	16.5880	+	22.8315i	0.828367	+	1.14015i	−0.159858	+	0.987140i	$0.551104\pi$
$402$	−5.40730	−	7.77646i	−0.269691	−	0.387855i
$403$	−0.630781	+	0.204953i	−0.0314215	+	0.0102095i
$404$	−3.17653	+	9.77635i	−0.158038	+	0.486391i
$405$	7.32168	−	8.49720i	0.363817	−	0.422229i
$406$		−	0.886476i		−	0.0439951i
$407$	1.21831	−	10.8140i	0.0603894	−	0.536030i
$408$	−0.00291629	+	0.140686i	−0.000144378	+	0.00696500i
$409$	−1.77808	+	2.44732i	−0.0879203	+	0.121012i	−0.850711	−	0.525633i	$-0.823828\pi$
$409$	−1.77808	+	2.44732i	−0.0879203	+	0.121012i	0.762791	+	0.646645i	$0.223828\pi$
$410$	5.21044	+	1.69297i	0.257325	+	0.0836100i
$411$	−2.32110	−	7.68180i	−0.114491	−	0.378915i
$412$	−2.57227	+	1.86886i	−0.126727	+	0.0920723i
$413$	−0.157143	+	0.114171i	−0.00773250	+	0.00561799i
$414$	−12.7545	+	3.56712i	−0.626851	+	0.175314i
$415$	5.41474	+	1.75936i	0.265799	+	0.0863634i
$416$	1.55712	−	2.14320i	0.0763443	−	0.105079i
$417$	−2.64540	−	0.0548367i	−0.129546	−	0.00268537i
$418$	4.22433	+	20.6303i	0.206619	+	1.00906i
$419$			40.6807i			1.98738i	0.112148	+	0.993692i	$0.464227\pi$
$419$			40.6807i			1.98738i	−0.112148	+	0.993692i	$0.535773\pi$
$420$	−1.30472	+	1.71968i	−0.0636639	+	0.0839120i
$421$	7.09004	−	21.8209i	0.345548	−	1.06349i	−0.615742	−	0.787947i	$-0.711144\pi$
$421$	7.09004	−	21.8209i	0.345548	−	1.06349i	0.961290	−	0.275539i	$-0.0888562\pi$
$422$	26.2988	−	8.54500i	1.28021	−	0.415964i
$423$	−11.3209	−	17.0232i	−0.550439	−	0.827694i
$424$	−1.70002	−	2.33987i	−0.0825601	−	0.113634i
$425$	−0.0865330	−	0.266321i	−0.00419747	−	0.0129185i
$426$	−6.82318	+	19.6073i	−0.330584	+	0.949974i
$427$	−6.70466	−	4.87122i	−0.324461	−	0.235735i
$428$	12.6404			0.610995
$429$	−14.9689	+	2.74315i	−0.722704	+	0.132440i
$430$	6.06236			0.292353
$431$	9.04485	+	6.57147i	0.435675	+	0.316537i	0.783914	−	0.620869i	$-0.213220\pi$
$431$	9.04485	+	6.57147i	0.435675	+	0.316537i	−0.348239	+	0.937406i	$0.613220\pi$
$432$	4.83251	+	1.90967i	0.232504	+	0.0918792i
$433$	−5.69005	−	17.5122i	−0.273446	−	0.841581i	−0.989626	−	0.143665i	$-0.954111\pi$
$433$	−5.69005	−	17.5122i	−0.273446	−	0.841581i	0.716180	−	0.697915i	$-0.245889\pi$
$434$	0.147159	+	0.202547i	0.00706385	+	0.00972256i
$435$	−1.57108	+	1.09244i	−0.0753275	+	0.0523783i
$436$	14.9359	−	4.85298i	0.715301	−	0.232415i
$437$	−8.66176	+	26.6582i	−0.414348	+	1.27523i
$438$	22.8135	+	17.3086i	1.09007	+	0.827035i
$439$		−	16.1117i		−	0.768968i	−0.923132	−	0.384484i	$-0.874379\pi$
$439$		−	16.1117i		−	0.768968i	0.923132	−	0.384484i	$-0.125621\pi$
$440$	−4.10744	−	0.462746i	−0.195815	−	0.0220606i
$441$	2.99742	+	0.124321i	0.142734	+	0.00592005i
$442$	−0.126505	+	0.174119i	−0.00601723	+	0.00828200i
$443$	28.4566	+	9.24612i	1.35202	+	0.439296i	0.893370	−	0.449323i	$-0.148335\pi$
$443$	28.4566	+	9.24612i	1.35202	+	0.439296i	0.458646	+	0.888619i	$0.348335\pi$
$444$	−5.44024	+	1.64380i	−0.258182	+	0.0780112i
$445$	−12.1659	+	8.83901i	−0.576717	+	0.419009i
$446$	15.6359	−	11.3601i	0.740381	−	0.537918i
$447$	30.1338	−	9.10510i	1.42528	−	0.430657i
$448$	−0.951057	−	0.309017i	−0.0449332	−	0.0145997i
$449$	−8.80703	+	12.1218i	−0.415629	+	0.572065i	−0.964580	−	0.263790i	$-0.915027\pi$
$449$	−8.80703	+	12.1218i	−0.415629	+	0.572065i	0.548951	+	0.835855i	$0.315027\pi$
$450$	−10.3315	−	0.428509i	−0.487032	−	0.0202001i
$451$	9.83640	−	10.7617i	0.463178	−	0.506749i
$452$			17.4471i			0.820644i
$453$	27.9815	+	21.2295i	1.31468	+	0.997448i
$454$	−2.64647	+	8.14500i	−0.124205	+	0.382264i
$455$	−3.13997	+	1.02024i	−0.147204	+	0.0478295i
$456$	9.02910	−	6.27830i	0.422826	−	0.294008i
$457$	18.4019	+	25.3280i	0.860802	+	1.18479i	0.981378	+	0.192089i	$0.0615261\pi$
$457$	18.4019	+	25.3280i	0.860802	+	1.18479i	−0.120575	+	0.992704i	$0.538474\pi$
$458$	−8.45035	−	26.0075i	−0.394859	−	1.21525i
$459$	−0.392606	−	0.155147i	−0.0183253	−	0.00724164i
$460$	−4.45111	−	3.23392i	−0.207534	−	0.150782i
$461$	35.7945			1.66711			0.833557	−	0.552433i	$-0.186301\pi$
$461$	35.7945			1.66711			0.833557	+	0.552433i	$0.186301\pi$
$462$	2.73090	+	5.05393i	0.127053	+	0.235130i
$463$	−17.0530			−0.792522			−0.396261	−	0.918138i	$-0.629692\pi$
$463$	−17.0530			−0.792522			−0.396261	+	0.918138i	$0.629692\pi$
$464$	−0.717174	−	0.521058i	−0.0332940	−	0.0241895i
$465$	0.177620	−	0.510412i	0.00823691	−	0.0236698i
$466$	5.12793	+	15.7821i	0.237547	+	0.731094i
$467$	21.2422	+	29.2374i	0.982974	+	1.35295i	0.935212	+	0.354089i	$0.115209\pi$
$467$	21.2422	+	29.2374i	0.982974	+	1.35295i	0.0477621	+	0.998859i	$0.484791\pi$
$468$	4.40092	+	6.61766i	0.203432	+	0.305901i
$469$	−5.20082	+	1.68985i	−0.240151	+	0.0780299i
$470$	2.62444	−	8.07721i	0.121057	−	0.372574i
$471$	2.67337	−	3.52362i	0.123182	−	0.162360i
$472$			0.194239i			0.00894059i
$473$	6.67189	−	14.6891i	0.306774	−	0.675406i
$474$	−15.8824	−	0.329227i	−0.729502	−	0.0151219i
$475$	−12.8636	+	17.7052i	−0.590221	+	0.812370i
$476$	0.0772663	+	0.0251054i	0.00354150	+	0.00115070i
$477$	8.35607	−	2.33698i	0.382598	−	0.107003i
$478$	3.25949	−	2.36816i	0.149086	−	0.108317i
$479$	−13.4360	+	9.76181i	−0.613905	+	0.446028i	−0.850787	−	0.525510i	$-0.823875\pi$
$479$	−13.4360	+	9.76181i	−0.613905	+	0.446028i	0.236882	+	0.971538i	$0.423875\pi$
$480$	0.624358	+	2.06635i	0.0284979	+	0.0943154i
$481$	−8.26685	−	2.68606i	−0.376936	−	0.122474i
$482$	15.5346	−	21.3816i	0.707583	−	0.973904i
$483$	−0.158469	+	7.64476i	−0.00721058	+	0.347849i
$484$	−5.64166	+	9.44308i	−0.256439	+	0.429231i
$485$		−	16.1409i		−	0.732920i
$486$	−10.4181	+	11.5958i	−0.472574	+	0.525998i
$487$	11.7506	−	36.1645i	0.532469	−	1.63877i	−0.216586	−	0.976264i	$-0.569492\pi$
$487$	11.7506	−	36.1645i	0.532469	−	1.63877i	0.749055	−	0.662508i	$-0.230508\pi$
$488$	−7.88180	+	2.56095i	−0.356792	+	0.115929i
$489$	−16.2714	−	23.4006i	−0.735818	−	1.05821i
$490$	0.732542	+	1.00826i	0.0330929	+	0.0455485i
$491$	−2.94857	−	9.07477i	−0.133067	−	0.409538i	0.862217	−	0.506539i	$-0.169075\pi$
$491$	−2.94857	−	9.07477i	−0.133067	−	0.409538i	−0.995284	+	0.0970002i	$0.969075\pi$
$492$	−7.19105	−	2.50243i	−0.324198	−	0.112818i
$493$	0.0582651	+	0.0423321i	0.00262413	+	0.00190654i
$494$	16.8202			0.756778
$495$	5.59157	−	11.0680i	0.251322	−	0.497471i
$496$	0.250362			0.0112416
$497$	9.69696	+	7.04526i	0.434968	+	0.316023i
$498$	−7.47301	−	2.60055i	−0.334874	−	0.116534i
$499$	6.36589	+	19.5922i	0.284977	+	0.877068i	0.986406	+	0.164328i	$0.0525457\pi$
$499$	6.36589	+	19.5922i	0.284977	+	0.877068i	−0.701429	+	0.712739i	$0.747454\pi$
$500$	−6.18764	−	8.51655i	−0.276720	−	0.380872i
$501$	7.14441	+	10.2747i	0.319189	+	0.459039i
$502$	−15.6504	+	5.08511i	−0.698510	+	0.226960i
$503$	−6.44609	+	19.8390i	−0.287417	+	0.884578i	0.698247	+	0.715857i	$0.253964\pi$
$503$	−6.44609	+	19.8390i	−0.287417	+	0.884578i	−0.985664	+	0.168721i	$0.946036\pi$
$504$	1.86242	−	2.35189i	0.0829587	−	0.104762i
$505$		−	12.8110i		−	0.570084i
$506$	−12.7344	+	7.22598i	−0.566115	+	0.321234i
$507$	0.214733	−	10.3590i	0.00953661	−	0.460060i
$508$	4.89496	−	6.73733i	0.217179	−	0.298921i
$509$	−0.342134	−	0.111166i	−0.0151648	−	0.00492735i	0.301425	−	0.953490i	$-0.402538\pi$
$509$	−0.342134	−	0.111166i	−0.0151648	−	0.00492735i	−0.316590	+	0.948563i	$0.602538\pi$
$510$	−0.0507245	−	0.167875i	−0.00224612	−	0.00743365i
$511$	13.3757	−	9.71799i	0.591704	−	0.429898i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	8.22567	+	31.9502i	0.363172	+	1.41063i
$514$	23.0802	+	7.49921i	1.01802	+	0.330776i
$515$	2.32912	−	3.20576i	0.102633	−	0.141263i
$516$	−8.42354	−	0.174612i	−0.370826	−	0.00768687i
$517$	−16.6828	−	15.2484i	−0.733708	−	0.670622i
$518$			3.28117i			0.144166i
$519$	−23.7714	+	31.3318i	−1.04345	+	1.37531i
$520$	−1.02024	+	3.13997i	−0.0447404	+	0.137697i
$521$	−35.3659	+	11.4911i	−1.54941	+	0.503434i	−0.953954	−	0.299954i	$-0.903029\pi$
$521$	−35.3659	+	11.4911i	−1.54941	+	0.503434i	−0.595456	+	0.803388i	$0.703029\pi$
$522$	2.21445	−	1.47267i	0.0969240	−	0.0644570i
$523$	−6.79826	−	9.35700i	−0.297267	−	0.409153i	0.634091	−	0.773259i	$-0.281375\pi$
$523$	−6.79826	−	9.35700i	−0.297267	−	0.409153i	−0.931358	+	0.364106i	$0.881375\pi$
$524$	−2.32836	−	7.16596i	−0.101715	−	0.313046i
$525$	−1.96211	+	5.63838i	−0.0856337	+	0.246079i
$526$	−18.2662	−	13.2712i	−0.796445	−	0.578651i
$527$	−0.0203400			−0.000886026
$528$	5.69390	+	0.761284i	0.247795	+	0.0331306i
$529$	3.51084			0.152645
$530$	2.91612	+	2.11869i	0.126668	+	0.0920299i
$531$	−0.546260	−	0.202881i	−0.0237056	−	0.00880430i
$532$	−1.96205	−	6.03856i	−0.0850656	−	0.261805i
$533$	−6.84506	−	9.42142i	−0.296492	−	0.408087i
$534$	17.1588	−	11.9312i	0.742535	−	0.516315i
$535$	−14.9824	+	4.86807i	−0.647744	+	0.210465i
$536$	−1.68985	+	5.20082i	−0.0729903	+	0.224641i
$537$	−3.89648	−	2.95625i	−0.168145	−	0.127572i
$538$			13.7769i			0.593962i
$539$	3.24921	−	0.665320i	0.139953	−	0.0286574i
$540$	−6.46332	−	0.402397i	−0.278137	−	0.0173164i
$541$	16.8836	−	23.2383i	0.725883	−	0.999093i	−0.273425	−	0.961893i	$-0.588156\pi$
$541$	16.8836	−	23.2383i	0.725883	−	0.999093i	0.999308	−	0.0371992i	$-0.0118436\pi$
$542$	−22.3162	−	7.25099i	−0.958565	−	0.311457i
$543$	3.82265	−	1.15503i	0.164046	−	0.0495673i
$544$	0.0657267	−	0.0477532i	0.00281801	−	0.00204740i
$545$	−15.8342	+	11.5043i	−0.678265	+	0.492788i
$546$	4.39232	−	1.32716i	0.187974	−	0.0567973i
$547$	−18.4576	−	5.99723i	−0.789189	−	0.256423i	−0.113430	−	0.993546i	$-0.536184\pi$
$547$	−18.4576	−	5.99723i	−0.789189	−	0.256423i	−0.675759	+	0.737123i	$0.736184\pi$
$548$	−2.72328	+	3.74828i	−0.116333	+	0.160118i
$549$	1.03030	−	24.8409i	0.0439721	−	1.06018i
$550$	−11.1994	+	2.29322i	−0.477542	+	0.0977834i
$551$		−	5.62852i		−	0.239783i
$552$	6.09160	+	4.62168i	0.259276	+	0.196712i
$553$	−2.83420	+	8.72278i	−0.120523	+	0.370930i
$554$	−18.7349	+	6.08733i	−0.795968	+	0.258626i
$555$	5.81514	−	4.04351i	0.246839	−	0.171637i
$556$	0.897931	+	1.23590i	0.0380808	+	0.0524137i
$557$	0.885623	+	2.72567i	0.0375251	+	0.115490i	0.968064	−	0.250702i	$-0.0806613\pi$
$557$	0.885623	+	2.72567i	0.0375251	+	0.115490i	−0.930539	+	0.366192i	$0.880661\pi$
$558$	−0.261500	+	0.704092i	−0.0110702	+	0.0298066i
$559$	−10.4253	−	7.57444i	−0.440944	−	0.320365i
$560$	1.24628			0.0526648
$561$	−0.462587	−	0.0618487i	−0.0195304	−	0.00261125i
$562$	−23.8139			−1.00453
$563$	−0.661102	−	0.480319i	−0.0278621	−	0.0202430i	0.573767	−	0.819019i	$-0.305481\pi$
$563$	−0.661102	−	0.480319i	−0.0278621	−	0.0202430i	−0.601629	+	0.798776i	$0.705481\pi$
$564$	−3.87926	+	11.1475i	−0.163347	+	0.469396i
$565$	−6.71924	−	20.6797i	−0.282681	−	0.870002i
$566$	−1.37091	−	1.88689i	−0.0576235	−	0.0793119i
$567$	4.66895	+	7.69421i	0.196077	+	0.323127i
$568$	11.3995	−	3.70391i	0.478311	−	0.155413i
$569$	6.00055	−	18.4678i	0.251556	−	0.774210i	−0.742933	−	0.669366i	$-0.766566\pi$
$569$	6.00055	−	18.4678i	0.251556	−	0.774210i	0.994489	−	0.104844i	$-0.0334343\pi$
$570$	−8.28409	+	10.9188i	−0.346982	+	0.457339i
$571$		−	2.87274i		−	0.120221i	−0.998192	−	0.0601103i	$-0.980855\pi$
$571$		−	2.87274i		−	0.120221i	0.998192	−	0.0601103i	$-0.0191452\pi$
$572$	6.48533	+	5.92771i	0.271165	+	0.247850i
$573$	−29.8556	−	0.618878i	−1.24723	−	0.0258540i
$574$	−2.58388	+	3.55641i	−0.107849	+	0.148442i
$575$	−14.4717	−	4.70213i	−0.603510	−	0.196092i
$576$	−0.808018	−	2.88914i	−0.0336674	−	0.120381i
$577$	26.0552	−	18.9302i	1.08469	−	0.788075i	0.106197	−	0.994345i	$-0.466133\pi$
$577$	26.0552	−	18.9302i	1.08469	−	0.788075i	0.978495	+	0.206270i	$0.0661326\pi$
$578$	13.7479	−	9.98847i	0.571839	−	0.415466i
$579$	1.18042	+	3.90668i	0.0490568	+	0.162356i
$580$	1.05072	+	0.341400i	0.0436288	+	0.0141759i
$581$	−2.68519	+	3.69585i	−0.111401	+	0.153330i
$582$	−0.464901	+	22.4275i	−0.0192708	+	0.929650i
$583$	8.34291	−	4.73407i	0.345528	−	0.196065i
$584$		−	16.5332i		−	0.684150i
$585$	−7.76491	−	6.14888i	−0.321039	−	0.254225i
$586$	6.29622	−	19.3778i	0.260095	−	0.800489i
$587$	−15.4425	+	5.01756i	−0.637379	+	0.207097i	−0.609841	−	0.792524i	$-0.708767\pi$
$587$	−15.4425	+	5.01756i	−0.637379	+	0.207097i	−0.0275380	+	0.999621i	$0.508767\pi$
$588$	−0.988815	−	1.42206i	−0.0407780	−	0.0586446i
$589$	0.934359	+	1.28604i	0.0384996	+	0.0529902i
$590$	−0.0748055	−	0.230228i	−0.00307970	−	0.00947833i
$591$	20.5680	+	7.15750i	0.846053	+	0.294420i
$592$	2.65452	+	1.92862i	0.109100	+	0.0792660i
$593$	19.0237			0.781212			0.390606	−	0.920558i	$-0.372266\pi$
$593$	19.0237			0.781212			0.390606	+	0.920558i	$0.372266\pi$
$594$	−8.08818	+	15.2178i	−0.331862	+	0.624394i
$595$	−0.101251			−0.00415087
$596$	−14.7036	−	10.6828i	−0.602282	−	0.437584i
$597$	1.53246	+	0.533286i	0.0627196	+	0.0218259i
$598$	3.61396	+	11.1226i	0.147786	+	0.454838i
$599$	−25.1482	−	34.6135i	−1.02753	−	1.41427i	−0.906788	−	0.421586i	$-0.861473\pi$
$599$	−25.1482	−	34.6135i	−1.02753	−	1.41427i	−0.120740	−	0.992684i	$-0.538527\pi$
$600$	3.40824	+	4.90154i	0.139141	+	0.200105i
$601$	−30.4437	+	9.89177i	−1.24183	+	0.403494i	−0.854985	−	0.518653i	$-0.826434\pi$
$601$	−30.4437	+	9.89177i	−1.24183	+	0.403494i	−0.386841	+	0.922146i	$0.626434\pi$
$602$	−1.50318	+	4.62630i	−0.0612649	+	0.188554i
$603$	−12.8612	−	10.1846i	−0.523750	−	0.414748i
$604$		−	20.2785i		−	0.825120i
$605$	3.05022	−	13.3654i	0.124009	−	0.543381i
$606$	−0.368992	+	17.8007i	−0.0149893	+	0.723105i
$607$	3.19806	−	4.40175i	0.129805	−	0.178662i	−0.739167	−	0.673522i	$-0.764781\pi$
$607$	3.19806	−	4.40175i	0.129805	−	0.178662i	0.868973	+	0.494860i	$0.164781\pi$
$608$	−6.03856	−	1.96205i	−0.244896	−	0.0795716i
$609$	−0.444106	−	1.46979i	−0.0179961	−	0.0595590i
$610$	8.35586	−	6.07089i	0.338319	−	0.245803i
$611$	−14.6051	+	10.6112i	−0.590857	+	0.429283i
$612$	0.0656455	+	0.234721i	0.00265356	+	0.00948803i
$613$	−43.1920	−	14.0339i	−1.74451	−	0.566825i	−0.749093	−	0.662465i	$-0.769510\pi$
$613$	−43.1920	−	14.0339i	−1.74451	−	0.566825i	−0.995416	+	0.0956393i	$0.969510\pi$
$614$	−6.37223	+	8.77062i	−0.257162	+	0.353954i
$615$	9.48714	+	0.196660i	0.382558	+	0.00793008i
$616$	1.37158	−	3.01973i	0.0552626	−	0.121668i
$617$		−	42.4732i		−	1.70991i	−0.518705	−	0.854953i	$-0.673586\pi$
$617$		−	42.4732i		−	1.70991i	0.518705	−	0.854953i	$-0.326414\pi$
$618$	−3.32861	+	4.38726i	−0.133896	+	0.176482i
$619$	−6.38892	+	19.6631i	−0.256793	+	0.790326i	0.736679	+	0.676243i	$0.236393\pi$
$619$	−6.38892	+	19.6631i	−0.256793	+	0.790326i	−0.993471	+	0.114083i	$0.963607\pi$
$620$	−0.296748	+	0.0964194i	−0.0119177	+	0.00387230i
$621$	−19.3602	+	12.3041i	−0.776897	+	0.493746i
$622$	−16.4491	−	22.6402i	−0.659547	−	0.907789i
$623$	−3.72866	−	11.4756i	−0.149386	−	0.459762i
$624$	1.50804	−	4.33355i	0.0603700	−	0.173481i
$625$	−3.32861	−	2.41838i	−0.133145	−	0.0967352i
$626$	23.4692			0.938017
$627$	17.3393	+	32.0890i	0.692467	+	1.28151i
$628$	−2.55361			−0.101900
$629$	−0.215661	−	0.156687i	−0.00859895	−	0.00624750i
$630$	−1.30172	+	3.50490i	−0.0518619	+	0.139639i
$631$	−2.49814	−	7.68848i	−0.0994493	−	0.306074i	0.888938	−	0.458027i	$-0.151444\pi$
$631$	−2.49814	−	7.68848i	−0.0994493	−	0.306074i	−0.988388	+	0.151953i	$0.951444\pi$
$632$	5.39097	+	7.42004i	0.214441	+	0.295153i
$633$	39.3230	−	27.3429i	1.56295	−	1.08678i
$634$	4.24596	−	1.37960i	0.168629	−	0.0547908i
$635$	−3.20721	+	9.87076i	−0.127274	+	0.391709i
$636$	−3.99088	−	3.02787i	−0.158249	−	0.120063i
$637$		−	2.64914i		−	0.104963i
$638$	1.98358	−	2.17018i	0.0785306	−	0.0859181i
$639$	−1.49012	+	35.9274i	−0.0589484	+	1.42127i
$640$	0.732542	−	1.00826i	0.0289563	−	0.0398549i
$641$	−30.4565	−	9.89590i	−1.20296	−	0.390865i	−0.362110	−	0.932136i	$-0.617943\pi$
$641$	−30.4565	−	9.89590i	−1.20296	−	0.390865i	−0.840848	+	0.541271i	$0.817943\pi$
$642$	20.9580	−	6.33256i	0.827144	−	0.249926i
$643$	29.2558	−	21.2556i	1.15374	−	0.838238i	0.164763	−	0.986333i	$-0.447314\pi$
$643$	29.2558	−	21.2556i	1.15374	−	0.838238i	0.988973	+	0.148095i	$0.0473142\pi$
$644$	3.57153	−	2.59487i	0.140738	−	0.102252i
$645$	10.0515	−	3.03711i	0.395777	−	0.119586i
$646$	0.490589	+	0.159402i	0.0193020	+	0.00627159i
$647$	11.8876	−	16.3619i	0.467350	−	0.643253i	−0.508662	−	0.860966i	$-0.669860\pi$
$647$	11.8876	−	16.3619i	0.467350	−	0.643253i	0.976013	+	0.217714i	$0.0698599\pi$
$648$	8.96909	+	0.745285i	0.352339	+	0.0292776i
$649$	−0.640169	−	0.0721217i	−0.0251288	−	0.00283103i
$650$			9.13104i			0.358149i
$651$	0.345464	+	0.262103i	0.0135398	+	0.0102726i
$652$	−5.08501	+	15.6501i	−0.199144	+	0.612904i
$653$	9.14988	−	2.97298i	0.358063	−	0.116342i	−0.124461	−	0.992224i	$-0.539720\pi$
$653$	9.14988	−	2.97298i	0.358063	−	0.116342i	0.482524	+	0.875883i	$0.339720\pi$
$654$	22.3328	−	15.5289i	0.873280	−	0.607228i
$655$	5.51951	+	7.59696i	0.215665	+	0.296838i
$656$	1.35843	+	4.18081i	0.0530376	+	0.163233i
$657$	46.4964	+	17.2688i	1.81400	+	0.673720i
$658$	5.51313	+	4.00552i	0.214924	+	0.156152i
$659$	−34.1750			−1.33127			−0.665635	−	0.746277i	$-0.731839\pi$
$659$	−34.1750			−1.33127			−0.665635	+	0.746277i	$0.731839\pi$
$660$	−7.04204	+	1.29050i	−0.274111	+	0.0502327i
$661$	21.4170			0.833024			0.416512	−	0.909130i	$-0.363252\pi$
$661$	21.4170			0.833024			0.416512	+	0.909130i	$0.363252\pi$
$662$	−13.7017	−	9.95487i	−0.532532	−	0.386907i
$663$	−0.122517	+	0.352069i	−0.00475818	+	0.0136732i
$664$	1.41169	+	4.34474i	0.0547842	+	0.168608i
$665$	4.65115	+	6.40176i	0.180364	+	0.248249i
$666$	−8.19650	+	5.45089i	−0.317608	+	0.211218i
$667$	3.72195	−	1.20933i	0.144114	−	0.0468256i
$668$	2.23272	−	6.87160i	0.0863864	−	0.265870i
$669$	20.2334	−	26.6686i	0.782268	−	1.03107i
$670$		−	6.81521i		−	0.263295i
$671$	−5.51379	−	26.9275i	−0.212857	−	1.03953i
$672$	−1.73168	−	0.0358961i	−0.0668010	−	0.00138472i
$673$	−0.455794	+	0.627346i	−0.0175695	+	0.0241824i	−0.817711	−	0.575628i	$-0.804757\pi$
$673$	−0.455794	+	0.627346i	−0.0175695	+	0.0241824i	0.800142	+	0.599811i	$0.204757\pi$
$674$	−11.3200	−	3.67810i	−0.436032	−	0.141675i
$675$	−17.3445	+	4.46539i	−0.667590	+	0.171873i
$676$	−4.83959	+	3.51617i	−0.186138	+	0.135237i
$677$	3.89065	−	2.82672i	0.149530	−	0.108640i	−0.510505	−	0.859875i	$-0.670541\pi$
$677$	3.89065	−	2.82672i	0.149530	−	0.108640i	0.660035	+	0.751235i	$0.270541\pi$
$678$	8.74064	+	28.9276i	0.335682	+	1.11096i
$679$	12.3174	+	4.00217i	0.472699	+	0.153589i
$680$	−0.0595137	+	0.0819136i	−0.00228225	+	0.00314124i
$681$	−0.307420	+	14.8304i	−0.0117804	+	0.568301i
$682$	−0.0929601	+	0.825136i	−0.00355963	+	0.0315961i
$683$			7.09759i			0.271582i	0.990738	+	0.135791i	$0.0433575\pi$
$683$			7.09759i			0.271582i	−0.990738	+	0.135791i	$0.956642\pi$
$684$	11.8251	−	14.9329i	0.452144	−	0.570974i
$685$	1.78431	−	5.49154i	0.0681750	−	0.209821i
$686$	−0.951057	+	0.309017i	−0.0363115	+	0.0117983i
$687$	−27.0400	−	38.8874i	−1.03164	−	1.48365i
$688$	2.85921	+	3.93536i	0.109006	+	0.150034i
$689$	−2.36767	−	7.28694i	−0.0902011	−	0.277610i
$690$	−9.00014	−	3.13198i	−0.342630	−	0.119233i
$691$	32.5426	+	23.6436i	1.23798	+	0.899445i	0.997462	−	0.0711995i	$-0.0226827\pi$
$691$	32.5426	+	23.6436i	1.23798	+	0.899445i	0.240518	+	0.970645i	$0.422683\pi$
$692$	22.7065			0.863173
$693$	7.05978	+	7.01138i	0.268179	+	0.266340i
$694$	9.17552			0.348298
$695$	−1.54027	−	1.11907i	−0.0584257	−	0.0424487i
$696$	−1.45013	−	0.504633i	−0.0549669	−	0.0191281i
$697$	−0.110362	−	0.339660i	−0.00418026	−	0.0128655i
$698$	−0.298102	−	0.410302i	−0.0112833	−	0.0155302i
$699$	16.4087	+	23.5981i	0.620634	+	0.892561i
$700$	3.27810	−	1.06512i	0.123900	−	0.0402577i
$701$	10.1648	−	31.2839i	0.383918	−	1.18158i	−0.553345	−	0.832952i	$-0.686649\pi$
$701$	10.1648	−	31.2839i	0.383918	−	1.18158i	0.937262	−	0.348625i	$-0.113351\pi$
$702$	10.6121	+	8.76742i	0.400528	+	0.330905i
$703$			20.8332i			0.785740i
$704$	−1.63682	−	2.88458i	−0.0616899	−	0.108717i
$705$	0.304861	−	14.7069i	0.0114817	−	0.553895i
$706$	10.9176	−	15.0268i	0.410890	−	0.565542i
$707$	9.77635	+	3.17653i	0.367677	+	0.119466i
$708$	0.0973098	+	0.322052i	0.00365713	+	0.0121035i
$709$	−11.9395	+	8.67454i	−0.448397	+	0.325779i	−0.788962	−	0.614441i	$-0.789381\pi$
$709$	−11.9395	+	8.67454i	−0.448397	+	0.325779i	0.340566	+	0.940221i	$0.389381\pi$
$710$	−12.0851	+	8.78033i	−0.453545	+	0.329520i
$711$	−26.4982	+	7.41088i	−0.993760	+	0.277930i
$712$	−11.4756	−	3.72866i	−0.430068	−	0.139738i
$713$	−0.649655	+	0.894174i	−0.0243298	+	0.0334871i
$714$	0.140686	+	0.00291629i	0.00526505	+	0.000109140i
$715$	−9.96981	−	4.52835i	−0.372850	−	0.169351i
$716$			2.82383i			0.105531i
$717$	4.21789	−	5.55938i	0.157520	−	0.207619i
$718$	1.23451	−	3.79942i	0.0460714	−	0.141793i
$719$	−14.3550	+	4.66424i	−0.535353	+	0.173947i	−0.564202	−	0.825637i	$-0.690816\pi$
$719$	−14.3550	+	4.66424i	−0.535353	+	0.173947i	0.0288487	+	0.999584i	$0.490816\pi$
$720$	2.07039	+	3.11325i	0.0771590	+	0.116024i
$721$	1.86886	+	2.57227i	0.0696001	+	0.0957963i
$722$	−6.58635	−	20.2707i	−0.245119	−	0.754398i
$723$	15.0450	−	43.2335i	0.559528	−	1.60787i
$724$	−1.86523	−	1.35517i	−0.0693208	−	0.0503645i
$725$	3.05550			0.113479
$726$	−4.62318	+	18.4831i	−0.171582	+	0.685973i
$727$	20.1599			0.747689			0.373845	−	0.927491i	$-0.378039\pi$
$727$	20.1599			0.747689			0.373845	+	0.927491i	$0.378039\pi$
$728$	−2.14320	−	1.55712i	−0.0794322	−	0.0577109i
$729$	−11.4641	+	24.4453i	−0.424596	+	0.905383i
$730$	6.36728	+	19.5965i	0.235664	+	0.725298i
$731$	−0.232290	−	0.319719i	−0.00859155	−	0.0118252i
$732$	−11.7852	+	8.19472i	−0.435593	+	0.302886i
$733$	−35.9718	+	11.6879i	−1.32865	+	0.431704i	−0.885456	−	0.464723i	$-0.846154\pi$
$733$	−35.9718	+	11.6879i	−1.32865	+	0.431704i	−0.443192	+	0.896427i	$0.646154\pi$
$734$	5.66403	−	17.4321i	0.209063	−	0.643430i
$735$	1.71968	+	1.30472i	0.0634315	+	0.0481254i
$736$		−	4.41465i		−	0.162726i
$737$	−16.5133	−	7.50044i	−0.608274	−	0.276282i
$738$	−13.1766	−	0.546510i	−0.485036	−	0.0201173i
$739$	27.0502	−	37.2314i	0.995056	−	1.36958i	0.0667465	−	0.997770i	$-0.478738\pi$
$739$	27.0502	−	37.2314i	0.995056	−	1.36958i	0.928310	−	0.371808i	$-0.121262\pi$
$740$	−3.88910	−	1.26365i	−0.142966	−	0.0464526i
$741$	27.8882	−	8.42658i	1.02450	−	0.309558i
$742$	−2.33987	+	1.70002i	−0.0858994	+	0.0624095i
$743$	−18.9034	+	13.7341i	−0.693498	+	0.503856i	−0.877808	−	0.479013i	$-0.840995\pi$
$743$	−18.9034	+	13.7341i	−0.693498	+	0.503856i	0.184310	+	0.982868i	$0.440995\pi$
$744$	0.415104	−	0.125426i	0.0152184	−	0.00459834i
$745$	21.5420	+	6.99942i	0.789238	+	0.256439i
$746$	9.46269	−	13.0243i	0.346454	−	0.476853i
$747$	−13.6932	−	0.567939i	−0.501008	−	0.0207798i
$748$	0.132979	+	0.234351i	0.00486221	+	0.00856873i
$749$		−	12.6404i		−	0.461869i
$750$	−14.5258	−	11.0207i	−0.530408	−	0.402419i
$751$	13.8913	−	42.7531i	0.506902	−	1.56008i	−0.290647	−	0.956830i	$-0.593871\pi$
$751$	13.8913	−	42.7531i	0.506902	−	1.56008i	0.797549	−	0.603254i	$-0.206129\pi$
$752$	6.48107	−	2.10583i	0.236340	−	0.0767917i
$753$	−23.4010	+	16.2717i	−0.852781	+	0.592974i
$754$	−1.38035	−	1.89989i	−0.0502695	−	0.0691901i
$755$	7.80966	+	24.0357i	0.284223	+	0.874748i
$756$	1.90967	−	4.83251i	0.0694542	−	0.175757i
$757$	−16.1614	−	11.7420i	−0.587397	−	0.426769i	0.253986	−	0.967208i	$-0.418258\pi$
$757$	−16.1614	−	11.7420i	−0.587397	−	0.426769i	−0.841383	+	0.540439i	$0.818258\pi$
$758$	−1.59627			−0.0579791
$759$	−17.4939	+	18.3605i	−0.634987	+	0.666443i
$760$	7.91301			0.287035
$761$	11.5835	+	8.41590i	0.419901	+	0.305076i	0.777598	−	0.628762i	$-0.216438\pi$
$761$	11.5835	+	8.41590i	0.419901	+	0.305076i	−0.357697	+	0.933838i	$0.616438\pi$
$762$	4.74066	−	13.6229i	0.171736	−	0.493505i
$763$	−4.85298	−	14.9359i	−0.175689	−	0.540717i
$764$	10.1339	+	13.9481i	0.366632	+	0.504625i
$765$	−0.168204	−	0.252928i	−0.00608143	−	0.00914464i
$766$	−1.79656	+	0.583738i	−0.0649124	+	0.0210913i
$767$	−0.159010	+	0.489382i	−0.00574152	+	0.0176706i
$768$	−1.04690	+	1.37986i	−0.0377766	+	0.0497914i
$769$			27.3801i			0.987351i	0.869646	+	0.493676i	$0.164347\pi$
$769$			27.3801i			0.987351i	−0.869646	+	0.493676i	$0.835653\pi$
$770$	−0.462746	+	4.10744i	−0.0166762	+	0.148022i
$771$	42.0243	+	0.871125i	1.51347	+	0.0313728i
$772$	1.38496	−	1.90623i	0.0498458	−	0.0686069i
$773$	−40.8663	−	13.2783i	−1.46986	−	0.477586i	−0.538793	−	0.842438i	$-0.681119\pi$
$773$	−40.8663	−	13.2783i	−1.46986	−	0.477586i	−0.931065	+	0.364852i	$0.881119\pi$
$774$	−14.0538	+	3.93051i	−0.505155	+	0.141279i
$775$	−0.698138	+	0.507227i	−0.0250779	+	0.0182201i
$776$	10.4778	−	7.61258i	0.376132	−	0.273276i
$777$	1.64380	+	5.44024i	0.0589709	+	0.195167i
$778$	25.4631	+	8.27348i	0.912898	+	0.296619i
$779$	−16.4059	+	22.5808i	−0.587802	+	0.809040i
$780$	−0.118513	+	5.71724i	−0.00424345	+	0.204710i
$781$	7.97460	+	38.9453i	0.285353	+	1.39357i
$782$			0.358658i			0.0128256i
$783$	2.93382	−	3.55111i	0.104846	−	0.126906i
$784$	−0.309017	+	0.951057i	−0.0110363	+	0.0339663i
$785$	3.02674	−	0.983448i	0.108029	−	0.0351008i
$786$	−7.45046	−	10.7148i	−0.265749	−	0.382185i
$787$	6.34682	+	8.73565i	0.226240	+	0.311392i	0.907014	−	0.421101i	$-0.138356\pi$
$787$	6.34682	+	8.73565i	0.226240	+	0.311392i	−0.680774	+	0.732494i	$0.738356\pi$
$788$	−3.88539	−	11.9580i	−0.138411	−	0.425986i
$789$	−36.9343	−	12.8529i	−1.31490	−	0.457574i
$790$	−9.24741	−	6.71864i	−0.329008	−	0.239038i
$791$	17.4471			0.620348
$792$	9.82196	−	1.59030i	0.349008	−	0.0565089i
$793$	−21.9545			−0.779628
$794$	10.8999	+	7.91923i	0.386823	+	0.281043i
$795$	5.89640	+	2.05190i	0.209124	+	0.0727735i
$796$	−0.289490	−	0.890959i	−0.0102607	−	0.0315792i
$797$	21.8310	+	30.0478i	0.773294	+	1.06435i	0.995990	+	0.0894600i	$0.0285141\pi$
$797$	21.8310	+	30.0478i	0.773294	+	1.06435i	−0.222696	+	0.974888i	$0.571486\pi$
$798$	−6.27830	−	9.02910i	−0.222250	−	0.319627i
$799$	−0.526540	+	0.171083i	−0.0186276	+	0.00605248i
$800$	1.06512	−	3.27810i	0.0376576	−	0.115898i
$801$	22.4723	−	28.3784i	0.794021	−	1.00270i
$802$		−	28.2213i		−	0.996527i
$803$	54.4898	+	6.13884i	1.92290	+	0.216635i
$804$	−0.196296	+	9.46962i	−0.00692284	+	0.333968i
$805$	−3.23392	+	4.45111i	−0.113981	+	0.156881i
$806$	0.630781	+	0.204953i	0.0222183	+	0.00721917i
$807$	6.90191	+	22.8423i	0.242959	+	0.804086i
$808$	8.31626	−	6.04211i	0.292565	−	0.212561i
$809$	−15.5349	+	11.2868i	−0.546178	+	0.396822i	−0.826374	−	0.563121i	$-0.809600\pi$
$809$	−15.5349	+	11.2868i	−0.546178	+	0.396822i	0.280196	+	0.959943i	$0.409600\pi$
$810$	−10.9179	+	2.57081i	−0.383616	+	0.0903290i
$811$	13.9661	+	4.53788i	0.490418	+	0.159346i	0.543778	−	0.839229i	$-0.316993\pi$
$811$	13.9661	+	4.53788i	0.490418	+	0.159346i	−0.0533605	+	0.998575i	$0.516993\pi$
$812$	−0.521058	+	0.717174i	−0.0182855	+	0.0251679i
$813$	−40.6333	−	0.842291i	−1.42507	−	0.0295404i
$814$	−7.34195	+	8.03261i	−0.257335	+	0.281543i
$815$		−	20.5080i		−	0.718365i
$816$	0.0850526	−	0.112103i	0.00297744	−	0.00392440i
$817$	−9.54415	+	29.3739i	−0.333907	+	1.02766i
$818$	2.87699	−	0.934791i	0.100592	−	0.0326842i
$819$	6.61766	−	4.40092i	0.231240	−	0.153780i
$820$	−3.22023	−	4.43226i	−0.112455	−	0.154781i
$821$	2.79416	+	8.59955i	0.0975170	+	0.300126i	0.987901	−	0.155083i	$-0.0495644\pi$
$821$	2.79416	+	8.59955i	0.0975170	+	0.300126i	−0.890384	+	0.455209i	$0.849564\pi$
$822$	−2.63744	+	7.57901i	−0.0919913	+	0.264348i
$823$	−24.8862	−	18.0809i	−0.867478	−	0.630259i	0.0624314	−	0.998049i	$-0.480115\pi$
$823$	−24.8862	−	18.0809i	−0.867478	−	0.630259i	−0.929909	+	0.367790i	$0.880115\pi$
$824$	3.17950			0.110763
$825$	−17.4199	+	9.41285i	−0.606482	+	0.327713i
$826$	0.194239			0.00675845
$827$	0.649894	+	0.472176i	0.0225990	+	0.0164192i	0.599027	−	0.800729i	$-0.295554\pi$
$827$	0.649894	+	0.472176i	0.0225990	+	0.0164192i	−0.576428	+	0.817148i	$0.695554\pi$
$828$	12.4153	+	4.61107i	0.431463	+	0.160246i
$829$	−3.15669	−	9.71529i	−0.109636	−	0.337426i	0.881154	−	0.472829i	$-0.156767\pi$
$829$	−3.15669	−	9.71529i	−0.109636	−	0.337426i	−0.990791	+	0.135403i	$0.956767\pi$
$830$	−3.34649	−	4.60605i	−0.116158	−	0.159878i
$831$	−28.0131	+	19.4787i	−0.971764	+	0.675707i
$832$	−2.51948	+	0.818629i	−0.0873473	+	0.0283809i
$833$	0.0251054	−	0.0772663i	0.000869849	−	0.00267712i
$834$	2.10794	+	1.59929i	0.0729921	+	0.0553789i
$835$			9.00462i			0.311618i
$836$	8.70861	−	19.1732i	0.301194	−	0.663120i
$837$	−0.0808367	+	1.29840i	−0.00279413	+	0.0448794i
$838$	23.9115	−	32.9114i	0.826010	−	1.13691i
$839$	0.0997643	+	0.0324154i	0.00344424	+	0.00111910i	0.310739	−	0.950495i	$-0.399424\pi$
$839$	0.0997643	+	0.0324154i	0.00344424	+	0.00111910i	−0.307294	+	0.951615i	$0.599424\pi$
$840$	2.06635	−	0.624358i	0.0712957	−	0.0215424i
$841$	22.8257	−	16.5839i	0.787094	−	0.571857i
$842$	−18.5620	+	13.4861i	−0.639688	+	0.464760i
$843$	−39.4839	+	11.9303i	−1.35990	+	0.410901i
$844$	−26.2988	−	8.54500i	−0.905243	−	0.294131i
$845$	4.38211	−	6.03146i	0.150749	−	0.207489i
$846$	−0.847199	+	20.4263i	−0.0291273	+	0.702269i
$847$	9.44308	+	5.64166i	0.324468	+	0.193850i
$848$			2.89224i			0.0993199i
$849$	−3.21828	−	2.44170i	−0.110451	−	0.0837989i
$850$	−0.0865330	+	0.266321i	−0.00296806	+	0.00913475i
$851$	−13.7763	+	4.47618i	−0.472245	+	0.153442i
$852$	17.0449	−	11.8520i	0.583949	−	0.406044i
$853$	−3.66184	−	5.04009i	−0.125379	−	0.172569i	0.741713	−	0.670717i	$-0.234014\pi$
$853$	−3.66184	−	5.04009i	−0.125379	−	0.172569i	−0.867092	+	0.498148i	$0.834014\pi$
$854$	2.56095	+	7.88180i	0.0876340	+	0.269710i
$855$	−8.26506	+	22.2538i	−0.282659	+	0.761062i
$856$	−10.2263	−	7.42982i	−0.349527	−	0.253946i
$857$	−2.60647			−0.0890355			−0.0445177	−	0.999009i	$-0.514175\pi$
$857$	−2.60647			−0.0890355			−0.0445177	+	0.999009i	$0.514175\pi$
$858$	13.7225	+	6.57923i	0.468477	+	0.224611i
$859$	46.0890			1.57254			0.786269	−	0.617885i	$-0.212010\pi$
$859$	46.0890			1.57254			0.786269	+	0.617885i	$0.212010\pi$
$860$	−4.90455	−	3.56336i	−0.167244	−	0.121510i
$861$	−2.50243	+	7.19105i	−0.0852827	+	0.245070i
$862$	−3.45483	−	10.6329i	−0.117672	−	0.362157i
$863$	−6.49992	−	8.94637i	−0.221260	−	0.304538i	0.683928	−	0.729549i	$-0.260270\pi$
$863$	−6.49992	−	8.94637i	−0.221260	−	0.304538i	−0.905188	+	0.425011i	$0.860270\pi$
$864$	−2.78710	−	4.38544i	−0.0948192	−	0.149196i
$865$	−26.9136	+	8.74475i	−0.915089	+	0.297330i
$866$	−5.69005	+	17.5122i	−0.193356	+	0.595088i
$867$	17.7903	−	23.4485i	0.604191	−	0.796352i
$868$		−	0.250362i		−	0.00849783i
$869$	−26.4565	+	15.0123i	−0.897474	+	0.509259i
$870$	1.91315	+	0.0396578i	0.0648618	+	0.00134452i
$871$	−8.51508	+	11.7200i	−0.288522	+	0.397117i
$872$	−14.9359	−	4.85298i	−0.505794	−	0.164342i
$873$	10.4649	+	37.4181i	0.354183	+	1.26641i
$874$	22.6768	−	16.4757i	0.767054	−	0.557297i
$875$	−8.51655	+	6.18764i	−0.287912	+	0.209180i
$876$	−8.28280	−	27.4124i	−0.279850	−	0.926178i
$877$	−35.6266	−	11.5758i	−1.20303	−	0.390887i	−0.362152	−	0.932119i	$-0.617958\pi$
$877$	−35.6266	−	11.5758i	−1.20303	−	0.390887i	−0.840873	+	0.541232i	$0.817958\pi$
$878$	−9.47021	+	13.0346i	−0.319604	+	0.439897i
$879$	0.731383	−	35.2830i	0.0246689	−	1.19006i
$880$	3.05100	+	2.78867i	0.102849	+	0.0940059i
$881$			7.73569i			0.260622i	0.991473	+	0.130311i	$0.0415976\pi$
$881$			7.73569i			0.260622i	−0.991473	+	0.130311i	$0.958402\pi$
$882$	−2.35189	−	1.86242i	−0.0791923	−	0.0627109i
$883$	1.95003	−	6.00156i	0.0656236	−	0.201969i	−0.912868	−	0.408254i	$-0.866138\pi$
$883$	1.95003	−	6.00156i	0.0656236	−	0.201969i	0.978492	+	0.206286i	$0.0661376\pi$
$884$	0.204689	−	0.0665076i	0.00688444	−	0.00223689i
$885$	−0.239368	−	0.344246i	−0.00804627	−	0.0115717i
$886$	−17.5872	−	24.2067i	−0.590852	−	0.813239i
$887$	−3.53374	−	10.8757i	−0.118652	−	0.365172i	0.874040	−	0.485855i	$-0.161492\pi$
$887$	−3.53374	−	10.8757i	−0.118652	−	0.365172i	−0.992691	+	0.120683i	$0.961492\pi$
$888$	5.36745	+	1.86783i	0.180120	+	0.0626803i
$889$	−6.73733	−	4.89496i	−0.225963	−	0.164172i
$890$	15.0378			0.504069
$891$	−5.78655	+	29.2834i	−0.193857	+	0.981030i
$892$	−19.3270			−0.647117
$893$	35.0046	+	25.4324i	1.17139	+	0.851062i
$894$	−29.7306	−	10.3460i	−0.994341	−	0.346023i
$895$	−1.08751	−	3.34702i	−0.0363515	−	0.111879i
$896$	0.587785	+	0.809017i	0.0196365	+	0.0270274i
$897$	11.5642	+	16.6310i	0.386118	+	0.555293i
$898$	14.2501	−	4.63013i	0.475531	−	0.154509i
$899$	0.0685831	−	0.211077i	0.00228738	−	0.00703982i
$900$	8.10649	+	6.41938i	0.270216	+	0.213979i
$901$		−	0.234973i		−	0.00782809i
$902$	−14.2834	+	2.92472i	−0.475585	+	0.0973826i
$903$	−0.174612	+	8.42354i	−0.00581073	+	0.280318i
$904$	10.2552	−	14.1150i	0.341082	−	0.469459i
$905$	2.73272	+	0.887916i	0.0908388	+	0.0295153i
$906$	−10.1591	−	33.6221i	−0.337514	−	1.11702i
$907$	−40.0167	+	29.0738i	−1.32873	+	0.965380i	−0.328953	+	0.944346i	$0.606696\pi$
$907$	−40.0167	+	29.0738i	−1.32873	+	0.965380i	−0.999779	+	0.0210335i	$0.993304\pi$
$908$	6.92855	−	5.03389i	0.229932	−	0.167055i
$909$	8.30599	+	29.6988i	0.275492	+	0.985045i
$910$	3.13997	+	1.02024i	0.104089	+	0.0338205i
$911$	24.1796	−	33.2804i	0.801107	−	1.10263i	−0.191528	−	0.981487i	$-0.561344\pi$
$911$	24.1796	−	33.2804i	0.801107	−	1.10263i	0.992635	−	0.121142i	$-0.0386556\pi$
$912$	−10.9950	−	0.227916i	−0.364080	−	0.00754705i
$913$	−14.8434	+	3.03940i	−0.491246	+	0.100589i
$914$		−	31.3071i		−	1.03555i
$915$	10.8128	−	14.2517i	0.357459	−	0.471148i
$916$	−8.45035	+	26.0075i	−0.279207	+	0.859312i
$917$	−7.16596	+	2.32836i	−0.236641	+	0.0768893i
$918$	0.226432	+	0.356284i	0.00747336	+	0.0117591i
$919$	14.3597	+	19.7645i	0.473684	+	0.651971i	0.977276	−	0.211971i	$-0.0679883\pi$
$919$	14.3597	+	19.7645i	0.473684	+	0.651971i	−0.503592	+	0.863942i	$0.667988\pi$
$920$	1.70017	+	5.23259i	0.0560530	+	0.172514i
$921$	−6.17137	+	17.7342i	−0.203354	+	0.584362i
$922$	−28.9583	−	21.0395i	−0.953692	−	0.692898i
$923$	31.7529			1.04516
$924$	0.761284	−	5.69390i	0.0250444	−	0.187315i
$925$	−11.3095			−0.371855
$926$	13.7962	+	10.0235i	0.453371	+	0.329393i
$927$	−3.32096	+	8.94171i	−0.109075	+	0.293684i
$928$	0.273936	+	0.843089i	0.00899240	+	0.0276758i
$929$	21.6679	+	29.8233i	0.710902	+	0.978472i	0.999777	+	0.0211054i	$0.00671855\pi$
$929$	21.6679	+	29.8233i	0.710902	+	0.978472i	−0.288876	+	0.957367i	$0.593281\pi$
$930$	−0.443710	+	0.308530i	−0.0145498	+	0.0101171i
$931$	−6.03856	+	1.96205i	−0.197906	+	0.0643035i
$932$	5.12793	−	15.7821i	0.167971	−	0.516961i
$933$	−38.6151	−	29.2972i	−1.26420	−	0.959146i
$934$		−	36.1395i		−	1.18252i
$935$	−0.247871	−	0.226558i	−0.00810625	−	0.00740925i
$936$	0.329344	−	7.94059i	0.0107649	−	0.259546i
$937$	−0.428676	+	0.590022i	−0.0140042	+	0.0192752i	−0.815962	−	0.578106i	$-0.803792\pi$
$937$	−0.428676	+	0.590022i	−0.0140042	+	0.0192752i	0.801957	+	0.597381i	$0.203792\pi$
$938$	5.20082	+	1.68985i	0.169813	+	0.0551755i
$939$	38.9123	−	11.7576i	1.26986	−	0.383694i
$940$	−6.87088	+	4.99199i	−0.224103	+	0.162821i
$941$	−3.79200	+	2.75505i	−0.123616	+	0.0898121i	−0.647875	−	0.761746i	$-0.724342\pi$
$941$	−3.79200	+	2.75505i	−0.123616	+	0.0898121i	0.524260	+	0.851559i	$0.324342\pi$
$942$	−4.23393	+	1.27931i	−0.137949	+	0.0416821i
$943$	−18.4568	−	5.99698i	−0.601037	−	0.195289i
$944$	0.114171	−	0.157143i	0.00371595	−	0.00511457i
$945$	−0.402397	+	6.46332i	−0.0130900	+	0.210252i
$946$	−14.0317	+	7.96210i	−0.456210	+	0.258870i
$947$			29.1824i			0.948299i	0.880444	+	0.474150i	$0.157244\pi$
$947$			29.1824i			0.948299i	−0.880444	+	0.474150i	$0.842756\pi$
$948$	12.6556	+	9.60178i	0.411035	+	0.311851i
$949$	13.5346	−	41.6552i	0.439351	−	1.35218i
$950$	20.8137	−	6.76278i	0.675286	−	0.219414i
$951$	6.34873	−	4.41453i	0.205872	−	0.143151i
$952$	−0.0477532	−	0.0657267i	−0.00154769	−	0.00213021i
$953$	10.9275	+	33.6314i	0.353976	+	1.08943i	0.956601	+	0.291402i	$0.0941218\pi$
$953$	10.9275	+	33.6314i	0.353976	+	1.08943i	−0.602624	+	0.798025i	$0.705878\pi$
$954$	−8.13385	−	3.02092i	−0.263343	−	0.0978058i
$955$	−17.3832	−	12.6296i	−0.562507	−	0.408686i
$956$	−4.02895			−0.130306
$957$	2.20159	−	4.59192i	0.0711674	−	0.148436i
$958$	16.6078			0.536573
$959$	3.74828	+	2.72328i	0.121038	+	0.0879393i
$960$	0.709452	−	2.03870i	0.0228975	−	0.0657987i
$961$	−9.56016	−	29.4231i	−0.308392	−	0.949134i
$962$	5.10919	+	7.03220i	0.164727	+	0.226727i
$963$	31.5762	−	20.9990i	1.01753	−	0.676683i
$964$	−25.1356	+	8.16704i	−0.809562	+	0.263043i
$965$	−0.907434	+	2.79280i	−0.0292113	+	0.0899033i
$966$	4.62168	−	6.09160i	0.148700	−	0.195994i
$967$			60.1809i			1.93529i	0.252319	+	0.967644i	$0.418807\pi$
$967$			60.1809i			1.93529i	−0.252319	+	0.967644i	$0.581193\pi$
$968$	10.1147	−	4.32353i	0.325099	−	0.138963i
$969$	0.893262	+	0.0185165i	0.0286957	+	0.000594835i
$970$	−9.48738	+	13.0583i	−0.304621	+	0.419275i
$971$	38.2253	+	12.4202i	1.22671	+	0.398582i	0.849521	−	0.527555i	$-0.176891\pi$
$971$	38.2253	+	12.4202i	1.22671	+	0.398582i	0.377188	+	0.926137i	$0.376891\pi$
$972$	15.2443	−	3.25763i	0.488960	−	0.104489i
$973$	1.23590	−	0.897931i	0.0396210	−	0.0287863i
$974$	−30.7634	+	22.3509i	−0.985723	+	0.716169i
$975$	4.57446	+	15.1394i	0.146500	+	0.484850i
$976$	7.88180	+	2.56095i	0.252290	+	0.0819741i
$977$	−11.9666	+	16.4706i	−0.382845	+	0.526941i	−0.956336	−	0.292271i	$-0.905589\pi$
$977$	−11.9666	+	16.4706i	−0.382845	+	0.526941i	0.573490	+	0.819212i	$0.305589\pi$
$978$	−0.590686	+	28.4955i	−0.0188881	+	0.911187i
$979$	16.5498	−	36.4367i	0.528933	−	1.16452i
$980$		−	1.24628i		−	0.0398108i
$981$	29.2485	−	36.9354i	0.933832	−	1.17926i
$982$	−2.94857	+	9.07477i	−0.0940927	+	0.289587i
$983$	7.89090	−	2.56391i	0.251681	−	0.0817760i	−0.180460	−	0.983582i	$-0.557759\pi$
$983$	7.89090	−	2.56391i	0.251681	−	0.0817760i	0.432140	+	0.901806i	$0.357759\pi$
$984$	4.34679	+	6.25131i	0.138571	+	0.199284i
$985$	9.21055	+	12.6772i	0.293472	+	0.403930i
$986$	−0.0222553	−	0.0684948i	−0.000708753	−	0.00218132i
$987$	11.1475	+	3.87926i	0.354830	+	0.123478i
$988$	−13.6079	−	9.88669i	−0.432924	−	0.314537i
$989$	−21.4745			−0.682851
$990$	−11.0293	+	5.66759i	−0.350534	+	0.180128i
$991$	−5.39842			−0.171487			−0.0857433	−	0.996317i	$-0.527326\pi$
$991$	−5.39842			−0.171487			−0.0857433	+	0.996317i	$0.527326\pi$
$992$	−0.202547	−	0.147159i	−0.00643087	−	0.00467230i
$993$	−27.7048	−	9.64108i	−0.879186	−	0.305950i
$994$	−3.70391	−	11.3995i	−0.117481	−	0.361569i
$995$	0.686253	+	0.944547i	0.0217557	+	0.0299441i
$996$	4.51723	+	6.49642i	0.143134	+	0.205847i
$997$	−21.1076	+	6.85828i	−0.668485	+	0.217204i	−0.623547	−	0.781786i	$-0.714309\pi$
$997$	−21.1076	+	6.85828i	−0.668485	+	0.217204i	−0.0449378	+	0.998990i	$0.514309\pi$
$998$	6.36589	−	19.5922i	0.201509	−	0.620180i
$999$	−10.8592	+	13.1439i	−0.343568	+	0.415856i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.29.2	✓	48
3.2	odd	2		462.2.w.b.29.12	yes	48
11.8	odd	10		462.2.w.b.239.12	yes	48
33.8	even	10	inner	462.2.w.a.239.2	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.2	✓	48	1.1	even	1	trivial
462.2.w.a.239.2	yes	48	33.8	even	10	inner
462.2.w.b.29.12	yes	48	3.2	odd	2
462.2.w.b.239.12	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)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-1.63583 - 0.569257i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.732542 - 1.00826i) q^{5} +(0.988815 + 1.42206i) q^{6} +(0.951057 - 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.35189 + 1.86242i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-1.63583 - 0.569257i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.732542 - 1.00826i) q^{5} +(0.988815 + 1.42206i) q^{6} +(0.951057 - 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.35189 + 1.86242i) q^{9} +1.24628i q^{10} +(3.01973 + 1.37158i) q^{11} +(0.0358961 - 1.73168i) q^{12} +(1.55712 - 2.14320i) q^{13} +(-0.951057 - 0.309017i) q^{14} +(0.624358 + 2.06635i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.0657267 - 0.0477532i) q^{17} +(-0.808018 - 2.88914i) q^{18} +(-6.03856 - 1.96205i) q^{19} +(0.732542 - 1.00826i) q^{20} +(-1.73168 - 0.0358961i) q^{21} +(-1.63682 - 2.88458i) q^{22} -4.41465i q^{23} +(-1.04690 + 1.37986i) q^{24} +(1.06512 - 3.27810i) q^{25} +(-2.51948 + 0.818629i) q^{26} +(-2.78710 - 4.38544i) q^{27} +(0.587785 + 0.809017i) q^{28} +(0.273936 + 0.843089i) q^{29} +(0.709452 - 2.03870i) q^{30} +(-0.202547 - 0.147159i) q^{31} +1.00000 q^{32} +(-4.15899 - 3.96268i) q^{33} -0.0812426 q^{34} +(-1.00826 - 0.732542i) q^{35} +(-1.04449 + 2.81230i) q^{36} +(-1.01394 - 3.12058i) q^{37} +(3.73204 + 5.13671i) q^{38} +(-3.76723 + 2.61951i) q^{39} +(-1.18528 + 0.385120i) q^{40} +(1.35843 - 4.18081i) q^{41} +(1.37986 + 1.04690i) q^{42} -4.86438i q^{43} +(-0.371303 + 3.29578i) q^{44} +(0.154938 - 3.73562i) q^{45} +(-2.59487 + 3.57153i) q^{46} +(-6.48107 - 2.10583i) q^{47} +(1.65802 - 0.500979i) q^{48} +(0.809017 - 0.587785i) q^{49} +(-2.78852 + 2.02598i) q^{50} +(-0.134702 + 0.0407008i) q^{51} +(2.51948 + 0.818629i) q^{52} +(1.70002 - 2.33987i) q^{53} +(-0.322880 + 5.18611i) q^{54} +(-0.829172 - 4.04941i) q^{55} -1.00000i q^{56} +(8.76117 + 6.64708i) q^{57} +(0.273936 - 0.843089i) q^{58} +(-0.184733 + 0.0600233i) q^{59} +(-1.77227 + 1.23234i) q^{60} +(-4.87122 - 6.70466i) q^{61} +(0.0773660 + 0.238108i) q^{62} +(2.81230 + 1.04449i) q^{63} +(-0.809017 - 0.587785i) q^{64} -3.30156 q^{65} +(1.03549 + 5.65047i) q^{66} -5.46846 q^{67} +(0.0657267 + 0.0477532i) q^{68} +(-2.51307 + 7.22163i) q^{69} +(0.385120 + 1.18528i) q^{70} +(7.04526 + 9.69696i) q^{71} +(2.49804 - 1.66126i) q^{72} +(15.7240 - 5.10905i) q^{73} +(-1.01394 + 3.12058i) q^{74} +(-3.60844 + 4.75609i) q^{75} -6.34932i q^{76} +(3.29578 + 0.371303i) q^{77} +(4.58746 + 0.0950937i) q^{78} +(-5.39097 + 7.42004i) q^{79} +(1.18528 + 0.385120i) q^{80} +(2.06279 + 8.76042i) q^{81} +(-3.55641 + 2.58388i) q^{82} +(-3.69585 + 2.68519i) q^{83} +(-0.500979 - 1.65802i) q^{84} +(-0.0962952 - 0.0312882i) q^{85} +(-2.85921 + 3.93536i) q^{86} +(0.0318210 - 1.53509i) q^{87} +(2.23760 - 2.44809i) q^{88} -12.0662i q^{89} +(-2.32109 + 2.93111i) q^{90} +(0.818629 - 2.51948i) q^{91} +(4.19858 - 1.36420i) q^{92} +(0.247561 + 0.356029i) q^{93} +(4.00552 + 5.51313i) q^{94} +(2.44525 + 7.52572i) q^{95} +(-1.63583 - 0.569257i) q^{96} +(10.4778 + 7.61258i) q^{97} -1.00000 q^{98} +(4.54762 + 8.84981i) 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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