LMFDB - Embedded newform 462.2.w.b.29.12

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			29.12
Character	$\chi$	$=$	462.29
Dual form			462.2.w.b.239.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(1.65802 + 0.500979i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.732542 + 1.00826i) q^{5} +(1.04690 + 1.37986i) q^{6} +(0.951057 - 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.49804 + 1.66126i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(1.65802 + 0.500979i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.732542 + 1.00826i) q^{5} +(1.04690 + 1.37986i) q^{6} +(0.951057 - 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.49804 + 1.66126i) 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} +(0.709452 + 2.03870i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.0657267 + 0.0477532i) q^{17} +(1.04449 + 2.81230i) 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} +(-0.988815 + 1.42206i) q^{24} +(1.06512 - 3.27810i) q^{25} +(2.51948 - 0.818629i) q^{26} +(3.30953 + 4.00587i) q^{27} +(0.587785 + 0.809017i) q^{28} +(-0.273936 - 0.843089i) q^{29} +(-0.624358 + 2.06635i) q^{30} +(-0.202547 - 0.147159i) q^{31} -1.00000 q^{32} +(-4.31963 - 3.78693i) q^{33} -0.0812426 q^{34} +(1.00826 + 0.732542i) q^{35} +(-0.808018 + 2.88914i) q^{36} +(-1.01394 - 3.12058i) q^{37} +(-3.73204 - 5.13671i) q^{38} +(3.65544 - 2.77337i) q^{39} +(-1.18528 + 0.385120i) q^{40} +(-1.35843 + 4.18081i) q^{41} +(1.42206 + 0.988815i) 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} +(-1.63583 + 0.569257i) q^{48} +(0.809017 - 0.587785i) q^{49} +(2.78852 - 2.02598i) q^{50} +(-0.132899 + 0.0462480i) 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} +(-9.02910 - 6.27830i) q^{57} +(0.273936 - 0.843089i) q^{58} +(0.184733 - 0.0600233i) q^{59} +(-1.71968 + 1.30472i) q^{60} +(-4.87122 - 6.70466i) q^{61} +(-0.0773660 - 0.238108i) q^{62} +(2.88914 + 0.808018i) q^{63} +(-0.809017 - 0.587785i) q^{64} +3.30156 q^{65} +(-1.26875 - 5.60270i) q^{66} -5.46846 q^{67} +(-0.0657267 - 0.0477532i) q^{68} +(-2.21165 + 7.31957i) q^{69} +(0.385120 + 1.18528i) q^{70} +(-7.04526 - 9.69696i) q^{71} +(-2.35189 + 1.86242i) q^{72} +(15.7240 - 5.10905i) q^{73} +(1.01394 - 3.12058i) q^{74} +(3.40824 - 4.90154i) 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} +(3.48041 + 8.29980i) q^{81} +(-3.55641 + 2.58388i) q^{82} +(3.69585 - 2.68519i) q^{83} +(0.569257 + 1.63583i) 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} +(-2.07039 + 3.11325i) q^{90} +(0.818629 - 2.51948i) q^{91} +(-4.19858 + 1.36420i) q^{92} +(-0.262103 - 0.345464i) q^{93} +(4.00552 + 5.51313i) q^{94} +(-2.44525 - 7.52572i) q^{95} +(-1.65802 - 0.500979i) q^{96} +(10.4778 + 7.61258i) q^{97} +1.00000 q^{98} +(-5.26485 - 8.44283i) 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
$3$	1.65802	+	0.500979i	0.957257	+	0.289240i
$3$	1.65802	+	0.500979i	0.957257	+	0.289240i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	0.732542	+	1.00826i	0.327603	+	0.450907i	0.940769	−	0.339047i	$-0.110105\pi$
$5$	0.732542	+	1.00826i	0.327603	+	0.450907i	−0.613167	+	0.789954i	$0.710105\pi$
$6$	1.04690	+	1.37986i	0.427393	+	0.563325i
$7$	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
$9$	2.49804	+	1.66126i	0.832680	+	0.553754i
$10$			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
$15$	0.709452	+	2.03870i	0.183180	+	0.526389i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−0.0657267	+	0.0477532i	−0.0159411	+	0.0115819i	−0.595727	−	0.803187i	$-0.703136\pi$
$17$	−0.0657267	+	0.0477532i	−0.0159411	+	0.0115819i	0.579786	+	0.814769i	$0.303136\pi$
$18$	1.04449	+	2.81230i	0.246189	+	0.662866i
$19$	−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	$0.152244\pi$
$23$			4.41465i			0.920519i	−0.887784	+	0.460259i	$0.847756\pi$
$24$	−0.988815	+	1.42206i	−0.201841	+	0.290276i
$25$	1.06512	−	3.27810i	0.213024	−	0.655620i
$26$	2.51948	−	0.818629i	0.494111	−	0.160546i
$27$	3.30953	+	4.00587i	0.636920	+	0.770930i
$28$	0.587785	+	0.809017i	0.111081	+	0.152890i
$29$	−0.273936	−	0.843089i	−0.0508687	−	0.156558i	0.922395	−	0.386247i	$-0.126229\pi$
$29$	−0.273936	−	0.843089i	−0.0508687	−	0.156558i	−0.973264	+	0.229690i	$0.926229\pi$
$30$	−0.624358	+	2.06635i	−0.113992	+	0.377261i
$31$	−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
$33$	−4.31963	−	3.78693i	−0.751951	−	0.659219i
$34$	−0.0812426			−0.0139330
$35$	1.00826	+	0.732542i	0.170427	+	0.123822i
$36$	−0.808018	+	2.88914i	−0.134670	+	0.481523i
$37$	−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
$39$	3.65544	−	2.77337i	0.585338	−	0.444095i
$40$	−1.18528	+	0.385120i	−0.187409	+	0.0608929i
$41$	−1.35843	+	4.18081i	−0.212151	+	0.652932i	0.787193	+	0.616707i	$0.211534\pi$
$41$	−1.35843	+	4.18081i	−0.212151	+	0.652932i	−0.999344	+	0.0362257i	$0.988466\pi$
$42$	1.42206	+	0.988815i	0.219428	+	0.152577i
$43$		−	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	0.740830	−	0.671693i	$-0.234433\pi$
$47$	6.48107	+	2.10583i	0.945362	+	0.307167i	0.204532	+	0.978860i	$0.434433\pi$
$48$	−1.63583	+	0.569257i	−0.236112	+	0.0821652i
$49$	0.809017	−	0.587785i	0.115574	−	0.0839693i
$50$	2.78852	−	2.02598i	0.394356	−	0.286516i
$51$	−0.132899	+	0.0462480i	−0.0186096	+	0.00647601i
$52$	2.51948	+	0.818629i	0.349389	+	0.113523i
$53$	−1.70002	+	2.33987i	−0.233515	+	0.321406i	−0.909653	−	0.415369i	$-0.863652\pi$
$53$	−1.70002	+	2.33987i	−0.233515	+	0.321406i	0.676138	+	0.736775i	$0.263652\pi$
$54$	0.322880	+	5.18611i	0.0439384	+	0.705740i
$55$	−0.829172	−	4.04941i	−0.111806	−	0.546022i
$56$			1.00000i			0.133631i
$57$	−9.02910	−	6.27830i	−1.19593	−	0.831582i
$58$	0.273936	−	0.843089i	0.0359696	−	0.110703i
$59$	0.184733	−	0.0600233i	0.0240501	−	0.00781436i	−0.296967	−	0.954888i	$-0.595975\pi$
$59$	0.184733	−	0.0600233i	0.0240501	−	0.00781436i	0.321017	+	0.947073i	$0.395975\pi$
$60$	−1.71968	+	1.30472i	−0.222010	+	0.168439i
$61$	−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
$63$	2.88914	+	0.808018i	0.363997	+	0.101801i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	3.30156			0.409508
$66$	−1.26875	−	5.60270i	−0.156173	−	0.689645i
$67$	−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
$69$	−2.21165	+	7.31957i	−0.266251	+	0.881173i
$70$	0.385120	+	1.18528i	0.0460307	+	0.141668i
$71$	−7.04526	−	9.69696i	−0.836118	−	1.15082i	−0.986753	−	0.162228i	$-0.948132\pi$
$71$	−7.04526	−	9.69696i	−0.836118	−	1.15082i	0.150635	−	0.988589i	$-0.451868\pi$
$72$	−2.35189	+	1.86242i	−0.277173	+	0.219488i
$73$	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
$75$	3.40824	−	4.90154i	0.393550	−	0.565981i
$76$		−	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
$81$	3.48041	+	8.29980i	0.386712	+	0.922200i
$82$	−3.55641	+	2.58388i	−0.392739	+	0.285342i
$83$	3.69585	−	2.68519i	0.405673	−	0.294738i	−0.366175	−	0.930546i	$-0.619333\pi$
$83$	3.69585	−	2.68519i	0.405673	−	0.294738i	0.771848	+	0.635808i	$0.219333\pi$
$84$	0.569257	+	1.63583i	0.0621111	+	0.178484i
$85$	−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	$0.220862\pi$
$89$			12.0662i			1.27902i	−0.768785	+	0.639508i	$0.779138\pi$
$90$	−2.07039	+	3.11325i	−0.218238	+	0.328165i
$91$	0.818629	−	2.51948i	0.0858156	−	0.264113i
$92$	−4.19858	+	1.36420i	−0.437733	+	0.142228i
$93$	−0.262103	−	0.345464i	−0.0271788	−	0.0358229i
$94$	4.00552	+	5.51313i	0.413138	+	0.568636i
$95$	−2.44525	−	7.52572i	−0.250878	−	0.772122i
$96$	−1.65802	−	0.500979i	−0.169221	−	0.0511310i
$97$	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
$99$	−5.26485	−	8.44283i	−0.529137	−	0.848536i
$100$	3.44680			0.344680
$101$	−8.31626	−	6.04211i	−0.827498	−	0.601213i	0.0913521	−	0.995819i	$-0.470881\pi$
$101$	−8.31626	−	6.04211i	−0.827498	−	0.601213i	−0.918850	+	0.394606i	$0.870881\pi$
$102$	−0.134702	−	0.0407008i	−0.0133375	−	0.00402998i
$103$	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
$105$	1.30472	+	1.71968i	0.127328	+	0.167824i
$106$	−2.75068	+	0.893751i	−0.267170	+	0.0868088i
$107$	−3.90609	+	12.0217i	−0.377616	+	1.16218i	0.564081	+	0.825720i	$0.309231\pi$
$107$	−3.90609	+	12.0217i	−0.377616	+	1.16218i	−0.941697	+	0.336463i	$0.890769\pi$
$108$	−2.78710	+	4.38544i	−0.268189	+	0.421989i
$109$		−	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	−0.603894	−	0.797065i	$-0.706385\pi$
$113$	−16.5932	−	5.39146i	−1.56096	−	0.507186i	−0.957063	+	0.289879i	$0.906385\pi$
$114$	−3.61440	−	10.3864i	−0.338519	−	0.972778i
$115$	−4.45111	+	3.23392i	−0.415068	+	0.301565i
$116$	0.717174	−	0.521058i	0.0665880	−	0.0483790i
$117$	7.45018	−	2.76700i	0.688769	−	0.255809i
$118$	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
$123$	−4.34679	+	6.25131i	−0.391937	+	0.563661i
$124$	0.0773660	−	0.238108i	0.00694767	−	0.0213827i
$125$	10.0118	−	3.25303i	0.895483	−	0.290960i
$126$	1.86242	+	2.35189i	0.165917	+	0.209523i
$127$	−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
$129$	2.43695	−	8.06522i	0.214562	−	0.710103i
$130$	2.67102	+	1.94061i	0.234264	+	0.170202i
$131$	7.53473			0.658313			0.329156	−	0.944275i	$-0.393236\pi$
$131$	7.53473			0.658313			0.329156	+	0.944275i	$0.393236\pi$
$132$	2.26674	−	5.27844i	0.197295	−	0.459429i
$133$	−6.34932			−0.550556
$134$	−4.42408	−	3.21428i	−0.382182	−	0.277672i
$135$	−1.61457	+	6.27133i	−0.138960	+	0.539751i
$136$	−0.0251054	−	0.0772663i	−0.00215277	−	0.00662553i
$137$	−2.72328	−	3.74828i	−0.232666	−	0.320237i	0.676681	−	0.736276i	$-0.263418\pi$
$137$	−2.72328	−	3.74828i	−0.232666	−	0.320237i	−0.909346	+	0.416040i	$0.863418\pi$
$138$	−6.09160	+	4.62168i	−0.518551	+	0.393424i
$139$	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
$141$	9.69076	+	6.73838i	0.816109	+	0.567474i
$142$		−	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
$147$	1.63583	−	0.569257i	0.134921	−	0.0469516i
$148$	2.65452	−	1.92862i	0.218201	−	0.158532i
$149$	14.7036	−	10.6828i	1.20456	−	0.875167i	0.209838	−	0.977736i	$-0.432706\pi$
$149$	14.7036	−	10.6828i	1.20456	−	0.875167i	0.994726	+	0.102569i	$0.0327063\pi$
$150$	5.63838	−	1.96211i	0.460372	−	0.160206i
$151$	−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
$156$	3.76723	+	2.61951i	0.301619	+	0.209728i
$157$	−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
$159$	−3.99088	+	3.02787i	−0.316497	+	0.240126i
$160$	−0.732542	−	1.00826i	−0.0579126	−	0.0797098i
$161$	1.36420	+	4.19858i	0.107514	+	0.330895i
$162$	−2.06279	+	8.76042i	−0.162068	+	0.688283i
$163$	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
$165$	0.653887	−	7.12939i	0.0509050	−	0.555022i
$166$	4.56833			0.354571
$167$	5.84533	+	4.24688i	0.452325	+	0.328633i	0.790513	−	0.612445i	$-0.209814\pi$
$167$	5.84533	+	4.24688i	0.452325	+	0.328633i	−0.338188	+	0.941079i	$0.609814\pi$
$168$	−0.500979	+	1.65802i	−0.0386514	+	0.127919i
$169$	1.84856	+	5.68928i	0.142197	+	0.437637i
$170$	−0.0595137	−	0.0819136i	−0.00456449	−	0.00628248i
$171$	−11.8251	−	14.9329i	−0.904288	−	1.14195i
$172$	4.62630	−	1.50318i	0.352752	−	0.114616i
$173$	−7.01671	+	21.5952i	−0.533470	+	1.64185i	0.213461	+	0.976952i	$0.431526\pi$
$173$	−7.01671	+	21.5952i	−0.533470	+	1.64185i	−0.746932	+	0.664901i	$0.768474\pi$
$174$	0.876561	−	1.26062i	0.0664519	−	0.0955673i
$175$		−	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	0.206925	−	0.978357i	$-0.433654\pi$
$179$	−2.68562	−	0.872610i	−0.200732	−	0.0652219i	−0.407658	+	0.913135i	$0.633654\pi$
$180$	−3.50490	+	1.30172i	−0.261240	+	0.0970248i
$181$	−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
$183$	−4.71767	−	13.5568i	−0.348740	−	1.00215i
$184$	−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
$189$	4.38544	+	2.78710i	0.318994	+	0.202732i
$190$	2.44525	−	7.52572i	0.177397	−	0.545973i
$191$	−16.3970	+	5.32771i	−1.18645	+	0.385499i	−0.834757	−	0.550618i	$-0.814392\pi$
$191$	−16.3970	+	5.32771i	−1.18645	+	0.385499i	−0.351688	+	0.936117i	$0.614392\pi$
$192$	−1.04690	−	1.37986i	−0.0755532	−	0.0995827i
$193$	−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
$195$	5.47404	+	1.65401i	0.392004	+	0.118446i
$196$	0.809017	+	0.587785i	0.0577869	+	0.0419847i
$197$	12.5734			0.895817			0.447909	−	0.894079i	$-0.352169\pi$
$197$	12.5734			0.895817			0.447909	+	0.894079i	$0.352169\pi$
$198$	0.703219	−	9.92499i	0.0499756	−	0.705339i
$199$	−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
$201$	−9.06680	−	2.73958i	−0.639523	−	0.193235i
$202$	−3.17653	−	9.77635i	−0.223500	−	0.687861i
$203$	−0.521058	−	0.717174i	−0.0365711	−	0.0503358i
$204$	−0.0850526	−	0.112103i	−0.00595487	−	0.00784880i
$205$	−5.21044	+	1.69297i	−0.363913	+	0.118242i
$206$	−0.982520	+	3.02388i	−0.0684554	+	0.210684i
$207$	−7.33390	+	11.0280i	−0.509741	+	0.766498i
$208$			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
$213$	−6.82318	−	19.6073i	−0.467516	−	1.34347i
$214$	−10.2263	+	7.42982i	−0.699054	+	0.507892i
$215$	4.90455	−	3.56336i	0.334487	−	0.243019i
$216$	−4.83251	+	1.90967i	−0.328811	+	0.129937i
$217$	−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
$222$	3.24447	−	4.66601i	0.217755	−	0.313162i
$223$	−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
$225$	8.10649	−	6.41938i	0.540433	−	0.427959i
$226$	−10.2552	−	14.1150i	−0.682163	−	0.938917i
$227$	2.64647	+	8.14500i	0.175652	+	0.540602i	0.999663	−	0.0259724i	$-0.00826819\pi$
$227$	2.64647	+	8.14500i	0.175652	+	0.540602i	−0.824010	+	0.566575i	$0.808268\pi$
$228$	3.18088	−	10.5273i	0.210659	−	0.697186i
$229$	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
$231$	−5.27844	−	2.26674i	−0.347296	−	0.149141i
$232$	0.886476			0.0582000
$233$	13.4251	+	9.75390i	0.879507	+	0.638999i	0.933121	−	0.359563i	$-0.117074\pi$
$233$	13.4251	+	9.75390i	0.879507	+	0.638999i	−0.0536141	+	0.998562i	$0.517074\pi$
$234$	7.65372	+	2.14055i	0.500340	+	0.139932i
$235$	2.62444	+	8.07721i	0.171200	+	0.526899i
$236$	0.114171	+	0.157143i	0.00743190	+	0.0102291i
$237$	−12.6556	+	9.60178i	−0.822070	+	0.623703i
$238$	−0.0772663	+	0.0251054i	−0.00500843	+	0.00162734i
$239$	1.24501	−	3.83176i	0.0805333	−	0.247856i	−0.902681	−	0.430310i	$-0.858404\pi$
$239$	1.24501	−	3.83176i	0.0805333	−	0.247856i	0.983214	+	0.182454i	$0.0584042\pi$
$240$	−1.77227	−	1.23234i	−0.114400	−	0.0795469i
$241$			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
$246$	−7.19105	+	2.50243i	−0.458485	+	0.159549i
$247$	−13.6079	+	9.88669i	−0.865847	+	0.629075i
$248$	0.202547	−	0.147159i	0.0128617	−	0.00934460i
$249$	7.47301	−	2.60055i	0.473583	−	0.164803i
$250$	10.0118	+	3.25303i	0.633202	+	0.205740i
$251$	−9.67246	+	13.3130i	−0.610520	+	0.840309i	−0.996620	−	0.0821481i	$-0.973822\pi$
$251$	−9.67246	+	13.3130i	−0.610520	+	0.840309i	0.386100	+	0.922457i	$0.373822\pi$
$252$	0.124321	+	2.99742i	0.00783149	+	0.188820i
$253$	6.05505	−	13.3311i	0.380678	−	0.838116i
$254$		−	8.32780i		−	0.522533i
$255$	−0.143984	−	0.100118i	−0.00901664	−	0.00626964i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	23.0802	−	7.49921i	1.43970	−	0.467788i	0.517898	−	0.855442i	$-0.326715\pi$
$257$	23.0802	−	7.49921i	1.43970	−	0.467788i	0.921805	+	0.387654i	$0.126715\pi$
$258$	6.71215	−	5.09250i	0.417880	−	0.317045i
$259$	−1.92862	−	2.65452i	−0.119839	−	0.164944i
$260$	1.02024	+	3.13997i	0.0632724	+	0.194733i
$261$	0.716289	−	2.56115i	0.0443372	−	0.158531i
$262$	6.09573	+	4.42881i	0.376595	+	0.273613i
$263$	−22.5783			−1.39224			−0.696119	−	0.717927i	$-0.745091\pi$
$263$	−22.5783			−1.39224			−0.696119	+	0.717927i	$0.745091\pi$
$264$	4.93642	−	2.93799i	0.303816	−	0.180821i
$265$	−3.60453			−0.221424
$266$	−5.13671	−	3.73204i	−0.314952	−	0.228826i
$267$	−6.04491	+	20.0060i	−0.369943	+	1.22435i
$268$	−1.68985	−	5.20082i	−0.103224	−	0.317690i
$269$	8.09783	+	11.1457i	0.493734	+	0.679566i	0.981071	−	0.193648i	$-0.0620319\pi$
$269$	8.09783	+	11.1457i	0.493734	+	0.679566i	−0.487338	+	0.873214i	$0.662032\pi$
$270$	−4.99242	+	4.12459i	−0.303829	+	0.251015i
$271$	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
$273$	2.61951	−	3.76723i	0.158540	−	0.228003i
$274$		−	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
$279$	−0.261500	−	0.704092i	−0.0156556	−	0.0421529i
$280$	−1.00826	+	0.732542i	−0.0602550	+	0.0437778i
$281$	−19.2659	+	13.9975i	−1.14931	+	0.835020i	−0.988389	−	0.151948i	$-0.951445\pi$
$281$	−19.2659	+	13.9975i	−1.14931	+	0.835020i	−0.160918	+	0.986968i	$0.551445\pi$
$282$	3.87926	+	11.1475i	0.231007	+	0.663827i
$283$	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
$288$	−2.49804	−	1.66126i	−0.147198	−	0.0978909i
$289$	−5.25125	+	16.1617i	−0.308897	+	0.950687i
$290$	1.05072	−	0.341400i	0.0617005	−	0.0200477i
$291$	13.5587	+	17.8710i	0.794823	+	1.04761i
$292$	9.71799	+	13.3757i	0.568702	+	0.782751i
$293$	−6.29622	−	19.3778i	−0.367829	−	1.13206i	−0.948190	−	0.317703i	$-0.897089\pi$
$293$	−6.29622	−	19.3778i	−0.367829	−	1.13206i	0.580361	−	0.814359i	$-0.302911\pi$
$294$	1.65802	+	0.500979i	0.0966975	+	0.0292177i
$295$	0.195843	+	0.142289i	0.0114024	+	0.00828436i
$296$	3.28117			0.190714
$297$	−4.49953	−	16.6359i	−0.261089	−	0.965315i
$298$	18.1746			1.05283
$299$	9.46148	+	6.87417i	0.547171	+	0.397543i
$300$	5.71485	+	1.72677i	0.329947	+	0.0996953i
$301$	−1.50318	−	4.62630i	−0.0866416	−	0.266655i
$302$	−11.9194	−	16.4057i	−0.685885	−	0.944039i
$303$	−10.7615	−	14.1842i	−0.618233	−	0.814861i
$304$	6.03856	−	1.96205i	0.346335	−	0.112531i
$305$	3.19165	−	9.82290i	0.182754	−	0.562458i
$306$	−0.202947	−	0.134965i	−0.0116017	−	0.00771546i
$307$		−	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	−0.566519	−	0.824049i	$-0.691710\pi$
$311$	−26.6151	−	8.64778i	−1.50921	−	0.490371i	−0.942687	+	0.333678i	$0.891710\pi$
$312$	1.50804	+	4.33355i	0.0853761	+	0.245339i
$313$	−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
$315$	1.30172	+	3.50490i	0.0733438	+	0.197479i
$316$	−8.72278	−	2.83420i	−0.490695	−	0.159436i
$317$	2.62415	−	3.61183i	0.147387	−	0.202861i	−0.728940	−	0.684578i	$-0.759987\pi$
$317$	2.62415	−	3.61183i	0.147387	−	0.202861i	0.876327	+	0.481717i	$0.159987\pi$
$318$	−5.00843	+	0.103820i	−0.280859	+	0.00582194i
$319$	−0.329152	+	2.92163i	−0.0184290	+	0.163580i
$320$		−	1.24628i		−	0.0696689i
$321$	−12.4990	+	17.9753i	−0.697625	+	1.00328i
$322$	−1.36420	+	4.19858i	−0.0760241	+	0.233978i
$323$	0.490589	−	0.159402i	0.0272971	−	0.00886936i
$324$	−6.81808	+	5.87485i	−0.378782	+	0.326380i
$325$	−5.36709	−	7.38717i	−0.297713	−	0.409766i
$326$	5.08501	+	15.6501i	0.281633	+	0.866777i
$327$	7.86765	−	26.0384i	0.435082	−	1.43993i
$328$	−3.55641	−	2.58388i	−0.196370	−	0.142671i
$329$	6.81461			0.375701
$330$	4.71955	−	5.38345i	0.259803	−	0.296349i
$331$	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
$333$	2.65125	−	9.47975i	0.145287	−	0.519487i
$334$	2.23272	+	6.87160i	0.122169	+	0.375997i
$335$	−4.00588	−	5.51362i	−0.218865	−	0.301241i
$336$	−1.37986	+	1.04690i	−0.0752774	+	0.0571128i
$337$	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
$339$	−24.8108	−	17.2520i	−1.34754	−	0.936998i
$340$		−	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
$345$	−9.00014	+	3.13198i	−0.484551	+	0.168620i
$346$	−18.3700	+	13.3466i	−0.987576	+	0.717516i
$347$	7.42315	−	5.39324i	0.398496	−	0.289524i	−0.370432	−	0.928859i	$-0.620790\pi$
$347$	7.42315	−	5.39324i	0.398496	−	0.289524i	0.768928	+	0.639335i	$0.220790\pi$
$348$	1.45013	−	0.504633i	0.0777349	−	0.0270512i
$349$	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	$-0.835424\pi$
$353$		−	18.5742i		−	0.988604i	0.869290	−	0.494302i	$-0.164576\pi$
$354$	0.276219	+	0.192067i	0.0146809	+	0.0102082i
$355$	4.61609	−	14.2069i	0.244997	−	0.754023i
$356$	−11.4756	+	3.72866i	−0.608208	+	0.197619i
$357$	−0.112103	+	0.0850526i	−0.00593314	+	0.00450146i
$358$	−1.65980	−	2.28452i	−0.0877233	−	0.120741i
$359$	−1.23451	−	3.79942i	−0.0651548	−	0.200526i	0.913179	−	0.407558i	$-0.133620\pi$
$359$	−1.23451	−	3.79942i	−0.0651548	−	0.200526i	−0.978334	+	0.207032i	$0.933620\pi$
$360$	−3.60066	−	1.00701i	−0.189771	−	0.0530743i
$361$	17.2433	+	12.5280i	0.907542	+	0.659368i
$362$	−2.30555			−0.121177
$363$	7.85004	+	17.3602i	0.412020	+	0.911175i
$364$	2.64914			0.138853
$365$	16.6698	+	12.1113i	0.872535	+	0.633934i
$366$	4.15182	−	13.7407i	0.217019	−	0.718237i
$367$	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
$369$	−10.3388	+	8.18712i	−0.538218	+	0.426204i
$370$	3.88910	−	1.26365i	0.202185	−	0.0656938i
$371$	−0.893751	+	2.75068i	−0.0464012	+	0.142808i
$372$	0.247561	−	0.356029i	0.0128355	−	0.0184592i
$373$			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
$378$	1.90967	+	4.83251i	0.0982230	+	0.248557i
$379$	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
$381$	−4.74066	−	13.6229i	−0.242871	−	0.697921i
$382$	−16.3970	−	5.32771i	−0.838944	−	0.272589i
$383$	−1.11034	+	1.52825i	−0.0567355	+	0.0780897i	−0.836442	−	0.548055i	$-0.815368\pi$
$383$	−1.11034	+	1.52825i	−0.0567355	+	0.0780897i	0.779707	+	0.626145i	$0.215368\pi$
$384$	−0.0358961	−	1.73168i	−0.00183181	−	0.0883694i
$385$	−2.03993	−	3.59499i	−0.103964	−	0.183218i
$386$		−	2.35624i		−	0.119929i
$387$	8.08101	−	12.1514i	0.410781	−	0.617691i
$388$	−4.00217	+	12.3174i	−0.203180	+	0.625322i
$389$	25.4631	−	8.27348i	1.29103	−	0.419482i	0.418580	−	0.908180i	$-0.362528\pi$
$389$	25.4631	−	8.27348i	1.29103	−	0.419482i	0.872453	+	0.488698i	$0.162528\pi$
$390$	3.45639	+	4.55568i	0.175021	+	0.230686i
$391$	−0.210814	−	0.290160i	−0.0106613	−	0.0146740i
$392$	0.309017	+	0.951057i	0.0156077	+	0.0480356i
$393$	12.4927	+	3.77474i	0.630174	+	0.190411i
$394$	10.1721	+	7.39046i	0.512463	+	0.372326i
$395$	−11.4304			−0.575127
$396$	6.40268	−	7.61615i	0.321747	−	0.382726i
$397$	−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
$399$	−10.5273	−	3.18088i	−0.527023	−	0.159243i
$400$	1.06512	+	3.27810i	0.0532559	+	0.163905i
$401$	−16.5880	−	22.8315i	−0.828367	−	1.14015i	−0.988225	−	0.153009i	$-0.951104\pi$
$401$	−16.5880	−	22.8315i	−0.828367	−	1.14015i	0.159858	−	0.987140i	$-0.448896\pi$
$402$	−5.72491	−	7.54570i	−0.285533	−	0.376346i
$403$	−0.630781	+	0.204953i	−0.0314215	+	0.0102095i
$404$	3.17653	−	9.77635i	0.158038	−	0.486391i
$405$	−5.81880	+	9.58911i	−0.289138	+	0.476487i
$406$		−	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
$411$	−2.63744	−	7.57901i	−0.130095	−	0.373845i
$412$	−2.57227	+	1.86886i	−0.126727	+	0.0920723i
$413$	0.157143	−	0.114171i	0.00773250	−	0.00561799i
$414$	−12.4153	+	4.61107i	−0.610180	+	0.226621i
$415$	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	$-0.535773\pi$
$419$		−	40.6807i		−	1.98738i	0.112148	−	0.993692i	$-0.464227\pi$
$420$	−1.23234	+	1.77227i	−0.0601318	+	0.0864782i
$421$	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
$423$	12.6916	+	16.0272i	0.617089	+	0.779270i
$424$	−1.70002	−	2.33987i	−0.0825601	−	0.113634i
$425$	0.0865330	+	0.266321i	0.00419747	+	0.0129185i
$426$	6.00479	−	19.8732i	0.290933	−	0.962858i
$427$	−6.70466	−	4.87122i	−0.324461	−	0.235735i
$428$	−12.6404			−0.610995
$429$	−14.8423	+	3.36111i	−0.716595	+	0.162276i
$430$	6.06236			0.292353
$431$	−9.04485	−	6.57147i	−0.435675	−	0.316537i	0.348239	−	0.937406i	$-0.386780\pi$
$431$	−9.04485	−	6.57147i	−0.435675	−	0.316537i	−0.783914	+	0.620869i	$0.786780\pi$
$432$	−5.03206	−	1.29552i	−0.242105	−	0.0623307i
$433$	−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
$435$	1.52446	−	1.15660i	0.0730922	−	0.0554549i
$436$	14.9359	−	4.85298i	0.715301	−	0.232415i
$437$	8.66176	−	26.6582i	0.414348	−	1.27523i
$438$	23.5112	+	16.3483i	1.12341	+	0.781152i
$439$		−	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	−0.458646	−	0.888619i	$-0.651665\pi$
$443$	−28.4566	−	9.24612i	−1.35202	−	0.439296i	−0.893370	+	0.449323i	$0.851665\pi$
$444$	5.36745	−	1.86783i	0.254728	−	0.0886434i
$445$	−12.1659	+	8.83901i	−0.576717	+	0.419009i
$446$	−15.6359	+	11.3601i	−0.740381	+	0.537918i
$447$	29.7306	−	10.3460i	1.40621	−	0.489351i
$448$	−0.951057	−	0.309017i	−0.0449332	−	0.0145997i
$449$	8.80703	−	12.1218i	0.415629	−	0.572065i	−0.548951	−	0.835855i	$-0.684973\pi$
$449$	8.80703	−	12.1218i	0.415629	−	0.572065i	0.964580	+	0.263790i	$0.0849726\pi$
$450$	10.3315	−	0.428509i	0.487032	−	0.0202001i
$451$	9.83640	−	10.7617i	0.463178	−	0.506749i
$452$		−	17.4471i		−	0.820644i
$453$	−28.8372	−	20.0517i	−1.35489	−	0.942110i
$454$	−2.64647	+	8.14500i	−0.124205	+	0.382264i
$455$	3.13997	−	1.02024i	0.147204	−	0.0478295i
$456$	8.76117	−	6.64708i	0.410279	−	0.311278i
$457$	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
$459$	−0.408818	−	0.105251i	−0.0190820	−	0.00491272i
$460$	−4.45111	−	3.23392i	−0.207534	−	0.150782i
$461$	−35.7945			−1.66711			−0.833557	−	0.552433i	$-0.813699\pi$
$461$	−35.7945			−1.66711			−0.833557	+	0.552433i	$0.813699\pi$
$462$	−2.93799	−	4.93642i	−0.136688	−	0.229663i
$463$	−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
$465$	0.156315	−	0.517334i	0.00724895	−	0.0239908i
$466$	5.12793	+	15.7821i	0.237547	+	0.731094i
$467$	−21.2422	−	29.2374i	−0.982974	−	1.35295i	−0.935212	−	0.354089i	$-0.884791\pi$
$467$	−21.2422	−	29.2374i	−0.982974	−	1.35295i	−0.0477621	−	0.998859i	$-0.515209\pi$
$468$	4.93381	+	6.23049i	0.228065	+	0.288004i
$469$	−5.20082	+	1.68985i	−0.240151	+	0.0780299i
$470$	−2.62444	+	8.07721i	−0.121057	+	0.372574i
$471$	−2.52505	+	3.63138i	−0.116348	+	0.167325i
$472$			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
$477$	−8.13385	+	3.02092i	−0.372423	+	0.138318i
$478$	3.25949	−	2.36816i	0.149086	−	0.108317i
$479$	13.4360	−	9.76181i	0.613905	−	0.446028i	−0.236882	−	0.971538i	$-0.576125\pi$
$479$	13.4360	−	9.76181i	0.613905	−	0.446028i	0.850787	+	0.525510i	$0.176125\pi$
$480$	−0.709452	−	2.03870i	−0.0323819	−	0.0930534i
$481$	−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
$486$	−7.80893	+	13.4915i	−0.354220	+	0.611987i
$487$	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
$489$	17.2271	+	22.7062i	0.779038	+	1.02681i
$490$	0.732542	+	1.00826i	0.0330929	+	0.0455485i
$491$	2.94857	+	9.07477i	0.133067	+	0.409538i	0.995284	−	0.0970002i	$-0.0309247\pi$
$491$	2.94857	+	9.07477i	0.133067	+	0.409538i	−0.862217	+	0.506539i	$0.830925\pi$
$492$	−7.28858	−	2.20228i	−0.328594	−	0.0992866i
$493$	0.0582651	+	0.0423321i	0.00262413	+	0.00190654i
$494$	−16.8202			−0.756778
$495$	4.65583	−	11.4931i	0.209264	−	0.516575i
$496$	0.250362			0.0112416
$497$	−9.69696	−	7.04526i	−0.434968	−	0.316023i
$498$	7.57436	+	2.28863i	0.339415	+	0.102556i
$499$	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
$501$	7.56406	+	9.96979i	0.337937	+	0.445417i
$502$	−15.6504	+	5.08511i	−0.698510	+	0.226960i
$503$	6.44609	−	19.8390i	0.287417	−	0.884578i	−0.698247	−	0.715857i	$-0.746036\pi$
$503$	6.44609	−	19.8390i	0.287417	−	0.884578i	0.985664	−	0.168721i	$-0.0539638\pi$
$504$	−1.66126	+	2.49804i	−0.0739985	+	0.111272i
$505$		−	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	0.316590	−	0.948563i	$-0.397462\pi$
$509$	0.342134	+	0.111166i	0.0151648	+	0.00492735i	−0.301425	+	0.953490i	$0.597462\pi$
$510$	−0.0576377	−	0.165629i	−0.00255224	−	0.00733418i
$511$	13.3757	−	9.71799i	0.591704	−	0.429898i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	−12.1251	−	30.6832i	−0.535338	−	1.35469i
$514$	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
$519$	−22.4526	+	32.2900i	−0.985558	+	1.41737i
$520$	−1.02024	+	3.13997i	−0.0447404	+	0.137697i
$521$	35.3659	−	11.4911i	1.54941	−	0.503434i	0.595456	−	0.803388i	$-0.296971\pi$
$521$	35.3659	−	11.4911i	1.54941	−	0.503434i	0.953954	+	0.299954i	$0.0969714\pi$
$522$	2.08490	−	1.65099i	0.0912534	−	0.0722619i
$523$	−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
$525$	1.72677	−	5.71485i	0.0753625	−	0.249416i
$526$	−18.2662	−	13.2712i	−0.796445	−	0.578651i
$527$	0.0203400			0.000886026
$528$	5.72055	+	0.524673i	0.248955	+	0.0228334i
$529$	3.51084			0.152645
$530$	−2.91612	−	2.11869i	−0.126668	−	0.0920299i
$531$	0.561184	+	0.156949i	0.0243533	+	0.00681101i
$532$	−1.96205	−	6.03856i	−0.0850656	−	0.261805i
$533$	6.84506	+	9.42142i	0.296492	+	0.408087i
$534$	−16.6497	+	12.6321i	−0.720501	+	0.546643i
$535$	−14.9824	+	4.86807i	−0.647744	+	0.210465i
$536$	1.68985	−	5.20082i	0.0729903	−	0.224641i
$537$	−4.01564	−	2.79224i	−0.173288	−	0.120494i
$538$			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
$543$	−3.77150	+	1.31245i	−0.161851	+	0.0563228i
$544$	0.0657267	−	0.0477532i	0.00281801	−	0.00204740i
$545$	15.8342	−	11.5043i	0.678265	−	0.492788i
$546$	4.33355	−	1.50804i	0.185459	−	0.0645382i
$547$	−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
$552$	−6.27789	−	4.36527i	−0.267205	−	0.185798i
$553$	−2.83420	+	8.72278i	−0.120523	+	0.370930i
$554$	18.7349	−	6.08733i	0.795968	−	0.258626i
$555$	5.64258	−	4.28101i	0.239514	−	0.181719i
$556$	0.897931	+	1.23590i	0.0380808	+	0.0524137i
$557$	−0.885623	−	2.72567i	−0.0375251	−	0.115490i	0.930539	−	0.366192i	$-0.119339\pi$
$557$	−0.885623	−	2.72567i	−0.0375251	−	0.115490i	−0.968064	+	0.250702i	$0.919339\pi$
$558$	0.202297	−	0.723329i	0.00856391	−	0.0306210i
$559$	−10.4253	−	7.57444i	−0.440944	−	0.320365i
$560$	−1.24628			−0.0526648
$561$	0.464753	+	0.0426258i	0.0196219	+	0.00179966i
$562$	−23.8139			−1.00453
$563$	0.661102	+	0.480319i	0.0278621	+	0.0202430i	0.601629	−	0.798776i	$-0.294519\pi$
$563$	0.661102	+	0.480319i	0.0278621	+	0.0202430i	−0.573767	+	0.819019i	$0.694519\pi$
$564$	−3.41397	+	11.2987i	−0.143754	+	0.475762i
$565$	−6.71924	−	20.6797i	−0.282681	−	0.870002i
$566$	1.37091	+	1.88689i	0.0576235	+	0.0793119i
$567$	5.87485	+	6.81808i	0.246720	+	0.286332i
$568$	11.3995	−	3.70391i	0.478311	−	0.155413i
$569$	−6.00055	+	18.4678i	−0.251556	+	0.774210i	0.742933	+	0.669366i	$0.233434\pi$
$569$	−6.00055	+	18.4678i	−0.251556	+	0.774210i	−0.994489	+	0.104844i	$0.966566\pi$
$570$	7.82450	−	11.2527i	0.327732	−	0.471326i
$571$		−	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
$576$	−1.04449	−	2.81230i	−0.0435205	−	0.117179i
$577$	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
$579$	−1.34130	−	3.85440i	−0.0557427	−	0.160184i
$580$	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
$585$	8.24742	+	5.48476i	0.340989	+	0.226767i
$586$	6.29622	−	19.3778i	0.260095	−	0.800489i
$587$	15.4425	−	5.01756i	0.637379	−	0.207097i	0.0275380	−	0.999621i	$-0.491233\pi$
$587$	15.4425	−	5.01756i	0.637379	−	0.207097i	0.609841	+	0.792524i	$0.291233\pi$
$588$	1.04690	+	1.37986i	0.0431733	+	0.0569044i
$589$	0.934359	+	1.28604i	0.0384996	+	0.0529902i
$590$	0.0748055	+	0.230228i	0.00307970	+	0.00947833i
$591$	20.8469	+	6.29901i	0.857527	+	0.259107i
$592$	2.65452	+	1.92862i	0.109100	+	0.0792660i
$593$	−19.0237			−0.781212			−0.390606	−	0.920558i	$-0.627734\pi$
$593$	−19.0237			−0.781212			−0.390606	+	0.920558i	$0.627734\pi$
$594$	6.13816	−	16.1035i	0.251852	−	0.660735i
$595$	−0.101251			−0.00415087
$596$	14.7036	+	10.6828i	0.602282	+	0.437584i
$597$	−1.55325	−	0.469322i	−0.0635702	−	0.0192081i
$598$	3.61396	+	11.1226i	0.147786	+	0.454838i
$599$	25.1482	+	34.6135i	1.02753	+	1.41427i	0.906788	+	0.421586i	$0.138527\pi$
$599$	25.1482	+	34.6135i	1.02753	+	1.41427i	0.120740	+	0.992684i	$0.461473\pi$
$600$	3.60844	+	4.75609i	0.147314	+	0.194167i
$601$	−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
$603$	−13.6604	−	9.08456i	−0.556296	−	0.369952i
$604$		−	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
$609$	−0.504633	−	1.45013i	−0.0204488	−	0.0587621i
$610$	8.35586	−	6.07089i	0.338319	−	0.245803i
$611$	14.6051	−	10.6112i	0.590857	−	0.429283i
$612$	−0.0848572	−	0.228479i	−0.00343015	−	0.00923571i
$613$	−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	$0.326414\pi$
$617$			42.4732i			1.70991i	−0.518705	+	0.854953i	$0.673586\pi$
$618$	−3.14394	+	4.52143i	−0.126468	+	0.181879i
$619$	−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
$621$	−17.6845	+	14.6104i	−0.709655	+	0.586297i
$622$	−16.4491	−	22.6402i	−0.659547	−	0.907789i
$623$	3.72866	+	11.4756i	0.149386	+	0.459762i
$624$	−1.32716	+	4.39232i	−0.0531290	+	0.175833i
$625$	−3.32861	−	2.41838i	−0.133145	−	0.0967352i
$626$	−23.4692			−0.938017
$627$	18.6542	+	31.3429i	0.744978	+	1.25172i
$628$	−2.55361			−0.101900
$629$	0.215661	+	0.156687i	0.00859895	+	0.00624750i
$630$	−1.00701	+	3.60066i	−0.0401204	+	0.143454i
$631$	−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
$633$	−38.1561	+	28.9490i	−1.51657	+	1.15062i
$634$	4.24596	−	1.37960i	0.168629	−	0.0547908i
$635$	3.20721	−	9.87076i	0.127274	−	0.391709i
$636$	−4.11293	−	2.85989i	−0.163088	−	0.113402i
$637$		−	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	0.840848	−	0.541271i	$-0.182057\pi$
$641$	30.4565	+	9.89590i	1.20296	+	0.390865i	0.362110	+	0.932136i	$0.382057\pi$
$642$	−20.6775	+	7.19563i	−0.816077	+	0.283989i
$643$	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
$645$	9.91700	−	3.45104i	0.390481	−	0.135885i
$646$	0.490589	+	0.159402i	0.0193020	+	0.00627159i
$647$	−11.8876	+	16.3619i	−0.467350	+	0.643253i	−0.976013	−	0.217714i	$-0.930140\pi$
$647$	−11.8876	+	16.3619i	−0.467350	+	0.643253i	0.508662	+	0.860966i	$0.330140\pi$
$648$	−8.96909	+	0.745285i	−0.352339	+	0.0292776i
$649$	−0.640169	−	0.0721217i	−0.0251288	−	0.00283103i
$650$		−	9.13104i		−	0.358149i
$651$	−0.356029	−	0.247561i	−0.0139539	−	0.00970269i
$652$	−5.08501	+	15.6501i	−0.199144	+	0.612904i
$653$	−9.14988	+	2.97298i	−0.358063	+	0.116342i	−0.482524	−	0.875883i	$-0.660280\pi$
$653$	−9.14988	+	2.97298i	−0.358063	+	0.116342i	0.124461	+	0.992224i	$0.460280\pi$
$654$	21.6701	−	16.4410i	0.847367	−	0.642895i
$655$	5.51951	+	7.59696i	0.215665	+	0.296838i
$656$	−1.35843	−	4.18081i	−0.0530376	−	0.163233i
$657$	47.7667	+	13.3592i	1.86356	+	0.521190i
$658$	5.51313	+	4.00552i	0.214924	+	0.156152i
$659$	34.1750			1.33127			0.665635	−	0.746277i	$-0.268161\pi$
$659$	34.1750			1.33127			0.665635	+	0.746277i	$0.268161\pi$
$660$	6.98251	−	1.58122i	0.271794	−	0.0615488i
$661$	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
$663$	−0.107822	+	0.356843i	−0.00418747	+	0.0138586i
$664$	1.41169	+	4.34474i	0.0547842	+	0.168608i
$665$	−4.65115	−	6.40176i	−0.180364	−	0.248249i
$666$	7.71696	−	6.11092i	0.299026	−	0.236793i
$667$	3.72195	−	1.20933i	0.144114	−	0.0468256i
$668$	−2.23272	+	6.87160i	−0.0863864	+	0.265870i
$669$	−19.1108	+	27.4841i	−0.738868	+	1.06260i
$670$		−	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
$675$	16.6567	−	6.58226i	0.641116	−	0.253351i
$676$	−4.83959	+	3.51617i	−0.186138	+	0.135237i
$677$	−3.89065	+	2.82672i	−0.149530	+	0.108640i	−0.660035	−	0.751235i	$-0.729459\pi$
$677$	−3.89065	+	2.82672i	−0.149530	+	0.108640i	0.510505	+	0.859875i	$0.329459\pi$
$678$	−9.93190	−	28.5406i	−0.381432	−	1.09609i
$679$	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	$-0.956642\pi$
$683$		−	7.09759i		−	0.271582i	0.990738	−	0.135791i	$-0.0433575\pi$
$684$	10.5479	−	15.8609i	0.403309	−	0.606455i
$685$	1.78431	−	5.49154i	0.0681750	−	0.209821i
$686$	0.951057	−	0.309017i	0.0363115	−	0.0117983i
$687$	28.6283	+	37.7335i	1.09224	+	1.43962i
$688$	2.85921	+	3.93536i	0.109006	+	0.150034i
$689$	2.36767	+	7.28694i	0.0902011	+	0.277610i
$690$	−9.12220	−	2.75632i	−0.347276	−	0.104931i
$691$	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
$693$	−7.61615	−	6.40268i	−0.289313	−	0.243218i
$694$	9.17552			0.348298
$695$	1.54027	+	1.11907i	0.0584257	+	0.0424487i
$696$	1.46979	+	0.444106i	0.0557124	+	0.0168338i
$697$	−0.110362	−	0.339660i	−0.00418026	−	0.0128655i
$698$	0.298102	+	0.410302i	0.0112833	+	0.0155302i
$699$	17.3725	+	22.8978i	0.657089	+	0.866075i
$700$	3.27810	−	1.06512i	0.123900	−	0.0402577i
$701$	−10.1648	+	31.2839i	−0.383918	+	1.18158i	0.553345	+	0.832952i	$0.313351\pi$
$701$	−10.1648	+	31.2839i	−0.383918	+	1.18158i	−0.937262	+	0.348625i	$0.886649\pi$
$702$	11.6176	+	7.38343i	0.438479	+	0.278669i
$703$			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
$708$	0.110572	+	0.317743i	0.00415556	+	0.0119415i
$709$	−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
$711$	−25.7935	+	9.57973i	−0.967332	+	0.359268i
$712$	−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
$717$	3.98389	−	5.72940i	0.148781	−	0.213968i
$718$	1.23451	−	3.79942i	0.0460714	−	0.141793i
$719$	14.3550	−	4.66424i	0.535353	−	0.173947i	−0.0288487	−	0.999584i	$-0.509184\pi$
$719$	14.3550	−	4.66424i	0.535353	−	0.173947i	0.564202	+	0.825637i	$0.309184\pi$
$720$	−2.32109	−	2.93111i	−0.0865018	−	0.109236i
$721$	1.86886	+	2.57227i	0.0696001	+	0.0957963i
$722$	6.58635	+	20.2707i	0.245119	+	0.754398i
$723$	−13.2404	+	43.8199i	−0.492416	+	1.62968i
$724$	−1.86523	−	1.35517i	−0.0693208	−	0.0503645i
$725$	−3.05550			−0.113479
$726$	−3.85326	+	18.6588i	−0.143008	+	0.692495i
$727$	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
$729$	−5.09396	+	26.5151i	−0.188665	+	0.982041i
$730$	6.36728	+	19.5965i	0.235664	+	0.725298i
$731$	0.232290	+	0.319719i	0.00859155	+	0.0118252i
$732$	11.4355	−	8.67606i	0.422667	−	0.320677i
$733$	−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
$735$	1.77227	+	1.23234i	0.0653713	+	0.0454554i
$736$		−	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
$741$	−27.5151	+	9.57504i	−1.01079	+	0.351748i
$742$	−2.33987	+	1.70002i	−0.0858994	+	0.0624095i
$743$	18.9034	−	13.7341i	0.693498	−	0.503856i	−0.184310	−	0.982868i	$-0.559005\pi$
$743$	18.9034	−	13.7341i	0.693498	−	0.503856i	0.877808	+	0.479013i	$0.159005\pi$
$744$	0.409550	−	0.142520i	0.0150148	−	0.00522505i
$745$	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
$750$	14.9700	+	10.4093i	0.546629	+	0.380094i
$751$	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
$753$	−22.7066	+	17.2275i	−0.827476	+	0.627804i
$754$	−1.38035	−	1.89989i	−0.0502695	−	0.0691901i
$755$	−7.80966	−	24.0357i	−0.284223	−	0.874748i
$756$	−1.29552	+	5.03206i	−0.0471176	+	0.183014i
$757$	−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
$759$	16.7180	−	19.0697i	0.606824	−	0.692185i
$760$	7.91301			0.287035
$761$	−11.5835	−	8.41590i	−0.419901	−	0.305076i	0.357697	−	0.933838i	$-0.383562\pi$
$761$	−11.5835	−	8.41590i	−0.419901	−	0.305076i	−0.777598	+	0.628762i	$0.783562\pi$
$762$	4.17205	−	13.8076i	0.151138	−	0.500198i
$763$	−4.85298	−	14.9359i	−0.175689	−	0.540717i
$764$	−10.1339	−	13.9481i	−0.366632	−	0.504625i
$765$	−0.188571	−	0.238131i	−0.00681781	−	0.00860964i
$766$	−1.79656	+	0.583738i	−0.0649124	+	0.0210913i
$767$	0.159010	−	0.489382i	0.00574152	−	0.0176706i
$768$	0.988815	−	1.42206i	0.0356808	−	0.0513141i
$769$			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	0.931065	−	0.364852i	$-0.118881\pi$
$773$	40.8663	+	13.2783i	1.46986	+	0.477586i	0.538793	+	0.842438i	$0.318881\pi$
$774$	13.6801	−	5.08080i	0.491721	−	0.182626i
$775$	−0.698138	+	0.507227i	−0.0250779	+	0.0182201i
$776$	−10.4778	+	7.61258i	−0.376132	+	0.273276i
$777$	−1.86783	−	5.36745i	−0.0670081	−	0.192556i
$778$	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
$783$	2.47070	−	3.88759i	0.0882957	−	0.138931i
$784$	−0.309017	+	0.951057i	−0.0110363	+	0.0339663i
$785$	−3.02674	+	0.983448i	−0.108029	+	0.0351008i
$786$	7.88808	+	10.3969i	0.281359	+	0.370844i
$787$	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
$789$	−37.4352	−	11.3113i	−1.33273	−	0.402691i
$790$	−9.24741	−	6.71864i	−0.329008	−	0.239038i
$791$	−17.4471			−0.620348
$792$	9.65654	−	2.39819i	0.343130	−	0.0852160i
$793$	−21.9545			−0.779628
$794$	−10.8999	−	7.91923i	−0.386823	−	0.281043i
$795$	−5.97637	−	1.80579i	−0.211960	−	0.0640449i
$796$	−0.289490	−	0.890959i	−0.0102607	−	0.0315792i
$797$	−21.8310	−	30.0478i	−0.773294	−	1.06435i	−0.995990	−	0.0894600i	$-0.971486\pi$
$797$	−21.8310	−	30.0478i	−0.773294	−	1.06435i	0.222696	−	0.974888i	$-0.428514\pi$
$798$	−6.64708	−	8.76117i	−0.235304	−	0.310142i
$799$	−0.526540	+	0.171083i	−0.0186276	+	0.00605248i
$800$	−1.06512	+	3.27810i	−0.0376576	+	0.115898i
$801$	−20.0451	+	30.1419i	−0.708260	+	1.06501i
$802$		−	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
$807$	7.84258	+	22.5366i	0.276072	+	0.793327i
$808$	8.31626	−	6.04211i	0.292565	−	0.212561i
$809$	15.5349	−	11.2868i	0.546178	−	0.396822i	−0.280196	−	0.959943i	$-0.590400\pi$
$809$	15.5349	−	11.2868i	0.546178	−	0.396822i	0.826374	+	0.563121i	$0.190400\pi$
$810$	−10.3438	+	4.33755i	−0.363446	+	0.152406i
$811$	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
$816$	0.0803339	−	0.115532i	0.00281225	−	0.00404442i
$817$	−9.54415	+	29.3739i	−0.333907	+	1.02766i
$818$	−2.87699	+	0.934791i	−0.100592	+	0.0326842i
$819$	6.23049	−	4.93381i	0.217711	−	0.172401i
$820$	−3.22023	−	4.43226i	−0.112455	−	0.154781i
$821$	−2.79416	−	8.59955i	−0.0975170	−	0.300126i	0.890384	−	0.455209i	$-0.150436\pi$
$821$	−2.79416	−	8.59955i	−0.0975170	−	0.300126i	−0.987901	+	0.155083i	$0.950436\pi$
$822$	2.32110	−	7.68180i	0.0809576	−	0.267933i
$823$	−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
$825$	−17.0148	+	10.1266i	−0.592380	+	0.352565i
$826$	0.194239			0.00675845
$827$	−0.649894	−	0.472176i	−0.0225990	−	0.0164192i	0.576428	−	0.817148i	$-0.304446\pi$
$827$	−0.649894	−	0.472176i	−0.0225990	−	0.0164192i	−0.599027	+	0.800729i	$0.704446\pi$
$828$	−12.7545	−	3.56712i	−0.443251	−	0.123966i
$829$	−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
$831$	27.1818	−	20.6228i	0.942927	−	0.715397i
$832$	−2.51948	+	0.818629i	−0.0873473	+	0.0283809i
$833$	−0.0251054	+	0.0772663i	−0.000869849	+	0.00267712i
$834$	2.17241	+	1.51056i	0.0752243	+	0.0523066i
$835$			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	0.307294	−	0.951615i	$-0.400576\pi$
$839$	−0.0997643	−	0.0324154i	−0.00344424	−	0.00111910i	−0.310739	+	0.950495i	$0.600576\pi$
$840$	−2.03870	+	0.709452i	−0.0703418	+	0.0244784i
$841$	22.8257	−	16.5839i	0.787094	−	0.571857i
$842$	18.5620	−	13.4861i	0.639688	−	0.464760i
$843$	−38.9556	+	13.5563i	−1.34170	+	0.466903i
$844$	−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
$849$	3.31670	+	2.30624i	0.113829	+	0.0791498i
$850$	−0.0865330	+	0.266321i	−0.00296806	+	0.00913475i
$851$	13.7763	−	4.47618i	0.472245	−	0.153442i
$852$	16.5391	−	12.5482i	0.566621	−	0.429894i
$853$	−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
$855$	6.39385	−	22.8618i	0.218665	−	0.781855i
$856$	−10.2263	−	7.42982i	−0.349527	−	0.253946i
$857$	2.60647			0.0890355			0.0445177	−	0.999009i	$-0.485825\pi$
$857$	2.60647			0.0890355			0.0445177	+	0.999009i	$0.485825\pi$
$858$	−13.9833	−	6.00491i	−0.477382	−	0.205004i
$859$	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
$861$	−2.20228	+	7.28858i	−0.0750536	+	0.248394i
$862$	−3.45483	−	10.6329i	−0.117672	−	0.362157i
$863$	6.49992	+	8.94637i	0.221260	+	0.304538i	0.905188	−	0.425011i	$-0.139730\pi$
$863$	6.49992	+	8.94637i	0.221260	+	0.304538i	−0.683928	+	0.729549i	$0.739730\pi$
$864$	−3.30953	−	4.00587i	−0.112593	−	0.136282i
$865$	−26.9136	+	8.74475i	−0.915089	+	0.297330i
$866$	5.69005	−	17.5122i	0.193356	−	0.595088i
$867$	−16.8033	+	24.1656i	−0.570671	+	0.820706i
$868$		−	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
$873$	13.5275	+	36.4230i	0.457837	+	1.23273i
$874$	22.6768	−	16.4757i	0.767054	−	0.557297i
$875$	8.51655	−	6.18764i	0.287912	−	0.209180i
$876$	9.41166	+	27.0456i	0.317991	+	0.913786i
$877$	−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	$-0.958402\pi$
$881$		−	7.73569i		−	0.260622i	0.991473	−	0.130311i	$-0.0415976\pi$
$882$	2.49804	+	1.66126i	0.0841134	+	0.0559376i
$883$	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
$885$	0.253428	+	0.334030i	0.00851889	+	0.0112283i
$886$	−17.5872	−	24.2067i	−0.590852	−	0.813239i
$887$	3.53374	+	10.8757i	0.118652	+	0.365172i	0.992691	−	0.120683i	$-0.0385084\pi$
$887$	3.53374	+	10.8757i	0.118652	+	0.365172i	−0.874040	+	0.485855i	$0.838508\pi$
$888$	5.44024	+	1.64380i	0.182562	+	0.0551623i
$889$	−6.73733	−	4.89496i	−0.225963	−	0.164172i
$890$	−15.0378			−0.504069
$891$	0.873960	−	29.8368i	0.0292788	−	0.999571i
$892$	−19.3270			−0.647117
$893$	−35.0046	−	25.4324i	−1.17139	−	0.851062i
$894$	30.1338	+	9.10510i	1.00783	+	0.304520i
$895$	−1.08751	−	3.34702i	−0.0363515	−	0.111879i
$896$	−0.587785	−	0.809017i	−0.0196365	−	0.0270274i
$897$	12.2435	+	16.1375i	0.408798	+	0.538815i
$898$	14.2501	−	4.63013i	0.475531	−	0.154509i
$899$	−0.0685831	+	0.211077i	−0.00228738	+	0.00703982i
$900$	8.61024	+	5.72604i	0.287008	+	0.190868i
$901$		−	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
$906$	−11.5437	−	33.1722i	−0.383513	−	1.10207i
$907$	−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
$909$	−10.7368	−	28.9089i	−0.356117	−	0.958849i
$910$	3.13997	+	1.02024i	0.104089	+	0.0338205i
$911$	−24.1796	+	33.2804i	−0.801107	+	1.10263i	0.191528	+	0.981487i	$0.438656\pi$
$911$	−24.1796	+	33.2804i	−0.801107	+	1.10263i	−0.992635	+	0.121142i	$0.961344\pi$
$912$	10.9950	−	0.227916i	0.364080	−	0.00754705i
$913$	−14.8434	+	3.03940i	−0.491246	+	0.100589i
$914$			31.3071i			1.03555i
$915$	10.2129	−	14.6876i	0.337627	−	0.485556i
$916$	−8.45035	+	26.0075i	−0.279207	+	0.859312i
$917$	7.16596	−	2.32836i	0.236641	−	0.0768893i
$918$	−0.268875	−	0.325447i	−0.00887421	−	0.0107414i
$919$	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
$921$	5.43116	−	17.9747i	0.178963	−	0.592287i
$922$	−28.9583	−	21.0395i	−0.953692	−	0.692898i
$923$	−31.7529			−1.04516
$924$	0.524673	−	5.72055i	0.0172605	−	0.188192i
$925$	−11.3095			−0.371855
$926$	−13.7962	−	10.0235i	−0.453371	−	0.329393i
$927$	−2.56909	+	9.18601i	−0.0843801	+	0.301708i
$928$	0.273936	+	0.843089i	0.00899240	+	0.0276758i
$929$	−21.6679	−	29.8233i	−0.710902	−	0.978472i	−0.999777	−	0.0211054i	$-0.993281\pi$
$929$	−21.6679	−	29.8233i	−0.710902	−	0.978472i	0.288876	−	0.957367i	$-0.406719\pi$
$930$	0.430543	−	0.326652i	0.0141181	−	0.0107113i
$931$	−6.03856	+	1.96205i	−0.197906	+	0.0643035i
$932$	−5.12793	+	15.7821i	−0.167971	+	0.516961i
$933$	−39.7960	−	27.6718i	−1.30286	−	0.905934i
$934$		−	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
$939$	−38.3916	+	13.3600i	−1.25286	+	0.435987i
$940$	−6.87088	+	4.99199i	−0.224103	+	0.162821i
$941$	3.79200	−	2.75505i	0.123616	−	0.0898121i	−0.524260	−	0.851559i	$-0.675658\pi$
$941$	3.79200	−	2.75505i	0.123616	−	0.0898121i	0.647875	+	0.761746i	$0.275658\pi$
$942$	−4.17728	+	1.45366i	−0.136103	+	0.0473629i
$943$	−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	$-0.842756\pi$
$947$		−	29.1824i		−	0.948299i	0.880444	−	0.474150i	$-0.157244\pi$
$948$	−13.0426	−	9.06908i	−0.423605	−	0.294550i
$949$	13.5346	−	41.6552i	0.439351	−	1.35218i
$950$	−20.8137	+	6.76278i	−0.675286	+	0.219414i
$951$	6.16033	−	4.67383i	0.199763	−	0.151559i
$952$	−0.0477532	−	0.0657267i	−0.00154769	−	0.00213021i
$953$	−10.9275	−	33.6314i	−0.353976	−	1.08943i	−0.956601	−	0.291402i	$-0.905878\pi$
$953$	−10.9275	−	33.6314i	−0.353976	−	1.08943i	0.602624	−	0.798025i	$-0.294122\pi$
$954$	−8.35607	−	2.33698i	−0.270538	−	0.0756626i
$955$	−17.3832	−	12.6296i	−0.562507	−	0.408686i
$956$	4.02895			0.130306
$957$	−2.00941	+	4.67921i	−0.0649551	+	0.151257i
$958$	16.6078			0.536573
$959$	−3.74828	−	2.72328i	−0.121038	−	0.0879393i
$960$	0.624358	−	2.06635i	0.0201511	−	0.0666910i
$961$	−9.56016	−	29.4231i	−0.308392	−	0.949134i
$962$	−5.10919	−	7.03220i	−0.164727	−	0.226727i
$963$	−29.7288	+	23.5417i	−0.957997	+	0.758620i
$964$	−25.1356	+	8.16704i	−0.809562	+	0.263043i
$965$	0.907434	−	2.79280i	0.0292113	−	0.0899033i
$966$	−4.36527	+	6.27789i	−0.140450	+	0.201988i
$967$			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	−0.377188	−	0.926137i	$-0.623109\pi$
$971$	−38.2253	−	12.4202i	−1.22671	−	0.398582i	−0.849521	+	0.527555i	$0.823109\pi$
$972$	−14.2477	+	6.32488i	−0.456994	+	0.202871i
$973$	1.23590	−	0.897931i	0.0396210	−	0.0287863i
$974$	30.7634	−	22.3509i	0.985723	−	0.716169i
$975$	−5.19791	−	14.9369i	−0.166466	−	0.478362i
$976$	7.88180	+	2.56095i	0.252290	+	0.0819741i
$977$	11.9666	−	16.4706i	0.382845	−	0.526941i	−0.573490	−	0.819212i	$-0.694411\pi$
$977$	11.9666	−	16.4706i	0.382845	−	0.526941i	0.956336	+	0.292271i	$0.0944109\pi$
$978$	0.590686	+	28.4955i	0.0188881	+	0.911187i
$979$	16.5498	−	36.4367i	0.528933	−	1.16452i
$980$			1.24628i			0.0398108i
$981$	26.0894	−	39.2306i	0.832971	−	1.25254i
$982$	−2.94857	+	9.07477i	−0.0940927	+	0.289587i
$983$	−7.89090	+	2.56391i	−0.251681	+	0.0817760i	−0.432140	−	0.901806i	$-0.642241\pi$
$983$	−7.89090	+	2.56391i	−0.251681	+	0.0817760i	0.180460	+	0.983582i	$0.442241\pi$
$984$	−4.60211	−	6.06580i	−0.146710	−	0.193371i
$985$	9.21055	+	12.6772i	0.293472	+	0.403930i
$986$	0.0222553	+	0.0684948i	0.000708753	+	0.00218132i
$987$	11.2987	+	3.41397i	0.359643	+	0.108668i
$988$	−13.6079	−	9.88669i	−0.432924	−	0.314537i
$989$	21.4745			0.682851
$990$	10.5221	−	6.56145i	0.334414	−	0.208537i
$991$	−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
$993$	28.0806	+	8.48470i	0.891110	+	0.269254i
$994$	−3.70391	−	11.3995i	−0.117481	−	0.361569i
$995$	−0.686253	−	0.944547i	−0.0217557	−	0.0299441i
$996$	4.78256	+	6.30364i	0.151541	+	0.199739i
$997$	−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
$999$	9.14497	−	14.3894i	0.289334	−	0.455260i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(1.65802 + 0.500979i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.732542 + 1.00826i) q^{5} +(1.04690 + 1.37986i) q^{6} +(0.951057 - 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.49804 + 1.66126i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(1.65802 + 0.500979i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.732542 + 1.00826i) q^{5} +(1.04690 + 1.37986i) q^{6} +(0.951057 - 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.49804 + 1.66126i) 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} +(0.709452 + 2.03870i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.0657267 + 0.0477532i) q^{17} +(1.04449 + 2.81230i) 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} +(-0.988815 + 1.42206i) q^{24} +(1.06512 - 3.27810i) q^{25} +(2.51948 - 0.818629i) q^{26} +(3.30953 + 4.00587i) q^{27} +(0.587785 + 0.809017i) q^{28} +(-0.273936 - 0.843089i) q^{29} +(-0.624358 + 2.06635i) q^{30} +(-0.202547 - 0.147159i) q^{31} -1.00000 q^{32} +(-4.31963 - 3.78693i) q^{33} -0.0812426 q^{34} +(1.00826 + 0.732542i) q^{35} +(-0.808018 + 2.88914i) q^{36} +(-1.01394 - 3.12058i) q^{37} +(-3.73204 - 5.13671i) q^{38} +(3.65544 - 2.77337i) q^{39} +(-1.18528 + 0.385120i) q^{40} +(-1.35843 + 4.18081i) q^{41} +(1.42206 + 0.988815i) 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} +(-1.63583 + 0.569257i) q^{48} +(0.809017 - 0.587785i) q^{49} +(2.78852 - 2.02598i) q^{50} +(-0.132899 + 0.0462480i) 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} +(-9.02910 - 6.27830i) q^{57} +(0.273936 - 0.843089i) q^{58} +(0.184733 - 0.0600233i) q^{59} +(-1.71968 + 1.30472i) q^{60} +(-4.87122 - 6.70466i) q^{61} +(-0.0773660 - 0.238108i) q^{62} +(2.88914 + 0.808018i) q^{63} +(-0.809017 - 0.587785i) q^{64} +3.30156 q^{65} +(-1.26875 - 5.60270i) q^{66} -5.46846 q^{67} +(-0.0657267 - 0.0477532i) q^{68} +(-2.21165 + 7.31957i) q^{69} +(0.385120 + 1.18528i) q^{70} +(-7.04526 - 9.69696i) q^{71} +(-2.35189 + 1.86242i) q^{72} +(15.7240 - 5.10905i) q^{73} +(1.01394 - 3.12058i) q^{74} +(3.40824 - 4.90154i) 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} +(3.48041 + 8.29980i) q^{81} +(-3.55641 + 2.58388i) q^{82} +(3.69585 - 2.68519i) q^{83} +(0.569257 + 1.63583i) 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} +(-2.07039 + 3.11325i) q^{90} +(0.818629 - 2.51948i) q^{91} +(-4.19858 + 1.36420i) q^{92} +(-0.262103 - 0.345464i) q^{93} +(4.00552 + 5.51313i) q^{94} +(-2.44525 - 7.52572i) q^{95} +(-1.65802 - 0.500979i) q^{96} +(10.4778 + 7.61258i) q^{97} +1.00000 q^{98} +(-5.26485 - 8.44283i) 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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