LMFDB - Embedded newform 260.2.bg.c.127.27

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(23,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 10]))

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

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

chi := DirichletCharacter("260.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bg (of order $12$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			127.27
Character	$\chi$	$=$	260.127
Dual form			260.2.bg.c.43.27

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.778429 + 1.18070i) q^{2} +(-0.397416 + 1.48318i) q^{3} +(-0.788098 + 1.83818i) q^{4} +(1.88795 + 1.19818i) q^{5} +(-2.06055 + 0.685319i) q^{6} +(2.71040 - 0.726248i) q^{7} +(-2.78381 + 0.500385i) q^{8} +(0.556198 + 0.321121i) q^{9} +O(q^{10})$	\(q+(0.778429 + 1.18070i) q^{2} +(-0.397416 + 1.48318i) q^{3} +(-0.788098 + 1.83818i) q^{4} +(1.88795 + 1.19818i) q^{5} +(-2.06055 + 0.685319i) q^{6} +(2.71040 - 0.726248i) q^{7} +(-2.78381 + 0.500385i) q^{8} +(0.556198 + 0.321121i) q^{9} +(0.0549500 + 3.16180i) q^{10} +(-1.76830 - 3.06279i) q^{11} +(-2.41314 - 1.89941i) q^{12} +(-1.83357 - 3.10452i) q^{13} +(2.96733 + 2.63483i) q^{14} +(-2.52742 + 2.32400i) q^{15} +(-2.75780 - 2.89733i) q^{16} +(-5.95282 + 1.59505i) q^{17} +(0.0538132 + 0.906671i) q^{18} +(4.02951 + 2.32644i) q^{19} +(-3.69036 + 2.52611i) q^{20} +4.30862i q^{21} +(2.23973 - 4.47200i) q^{22} +(2.14251 - 7.99597i) q^{23} +(0.364173 - 4.32775i) q^{24} +(2.12874 + 4.52421i) q^{25} +(2.23820 - 4.58154i) q^{26} +(-3.95461 + 3.95461i) q^{27} +(-0.801083 + 5.55455i) q^{28} +(1.99058 - 1.14926i) q^{29} +(-4.71135 - 1.17505i) q^{30} -2.36728 q^{31} +(1.27412 - 5.51150i) q^{32} +(5.24542 - 1.40551i) q^{33} +(-6.51712 - 5.78685i) q^{34} +(5.98728 + 1.87641i) q^{35} +(-1.02862 + 0.769316i) q^{36} +(2.64848 + 0.709659i) q^{37} +(0.389863 + 6.56861i) q^{38} +(5.33324 - 1.48572i) q^{39} +(-5.85526 - 2.39080i) q^{40} +(10.4735 - 6.04688i) q^{41} +(-5.08718 + 3.35395i) q^{42} +(-0.734548 + 0.196821i) q^{43} +(7.02355 - 0.836678i) q^{44} +(0.665315 + 1.27269i) q^{45} +(11.1086 - 3.69463i) q^{46} +(0.970769 + 0.970769i) q^{47} +(5.39325 - 2.93887i) q^{48} +(0.756628 - 0.436839i) q^{49} +(-3.68466 + 6.03517i) q^{50} -9.46299i q^{51} +(7.15169 - 0.923764i) q^{52} +(-7.21870 + 7.21870i) q^{53} +(-7.74758 - 1.59082i) q^{54} +(0.331294 - 7.90115i) q^{55} +(-7.18183 + 3.37798i) q^{56} +(-5.05192 + 5.05192i) q^{57} +(2.90645 + 1.45565i) q^{58} +(-4.02191 - 2.32205i) q^{59} +(-2.28007 - 6.47738i) q^{60} +(-1.50326 + 2.60372i) q^{61} +(-1.84276 - 2.79505i) q^{62} +(1.74073 + 0.466427i) q^{63} +(7.49923 - 2.78596i) q^{64} +(0.258071 - 8.05813i) q^{65} +(5.74266 + 5.09917i) q^{66} +(-2.24856 + 8.39173i) q^{67} +(1.75941 - 12.1994i) q^{68} +(11.0080 + 6.35546i) q^{69} +(2.44519 + 8.52982i) q^{70} +(0.333077 - 0.576907i) q^{71} +(-1.70903 - 0.615628i) q^{72} +(-0.774938 - 0.774938i) q^{73} +(1.22376 + 3.67948i) q^{74} +(-7.55621 + 1.35930i) q^{75} +(-7.45206 + 5.57350i) q^{76} +(-7.01714 - 7.01714i) q^{77} +(5.90574 + 5.14042i) q^{78} +13.5972 q^{79} +(-1.73509 - 8.77436i) q^{80} +(-3.33040 - 5.76842i) q^{81} +(15.2924 + 7.65898i) q^{82} +(-6.58933 + 6.58933i) q^{83} +(-7.92002 - 3.39562i) q^{84} +(-13.1498 - 4.12115i) q^{85} +(-0.804180 - 0.714068i) q^{86} +(0.913469 + 3.40911i) q^{87} +(6.45520 + 7.64140i) q^{88} +(-3.02539 - 5.24012i) q^{89} +(-0.984757 + 1.77623i) q^{90} +(-7.22435 - 7.08284i) q^{91} +(13.0095 + 10.2399i) q^{92} +(0.940798 - 3.51111i) q^{93} +(-0.390511 + 1.90186i) q^{94} +(4.82004 + 9.22028i) q^{95} +(7.66818 + 4.08011i) q^{96} +(0.577547 + 2.15544i) q^{97} +(1.10476 + 0.553301i) q^{98} -2.27136i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) $ 144 * q - 6 * q^2 - 12 * q^6	$ 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.778429	+	1.18070i	0.550432	+	0.834880i
$2$	0.778429	+	1.18070i	0.550432	+	0.834880i
$3$	−0.397416	+	1.48318i	−0.229449	+	0.856313i	0.751125	+	0.660160i	$0.229512\pi$
$3$	−0.397416	+	1.48318i	−0.229449	+	0.856313i	−0.980573	+	0.196153i	$0.937155\pi$
$4$	−0.788098	+	1.83818i	−0.394049	+	0.919089i
$5$	1.88795	+	1.19818i	0.844319	+	0.535842i
$5$	1.88795	+	1.19818i	0.844319	+	0.535842i
$6$	−2.06055	+	0.685319i	−0.841215	+	0.279780i
$7$	2.71040	−	0.726248i	1.02443	−	0.274496i	0.292785	−	0.956178i	$-0.405418\pi$
$7$	2.71040	−	0.726248i	1.02443	−	0.274496i	0.731648	+	0.681682i	$0.238751\pi$
$8$	−2.78381	+	0.500385i	−0.984227	+	0.176913i
$9$	0.556198	+	0.321121i	0.185399	+	0.107040i
$10$	0.0549500	+	3.16180i	0.0173767	+	0.999849i
$11$	−1.76830	−	3.06279i	−0.533163	−	0.923466i	−0.999250	−	0.0387268i	$-0.987670\pi$
$11$	−1.76830	−	3.06279i	−0.533163	−	0.923466i	0.466087	−	0.884739i	$-0.345664\pi$
$12$	−2.41314	−	1.89941i	−0.696615	−	0.548313i
$13$	−1.83357	−	3.10452i	−0.508540	−	0.861038i
$13$	−1.83357	−	3.10452i	−0.508540	−	0.861038i
$14$	2.96733	+	2.63483i	0.793052	+	0.704187i
$15$	−2.52742	+	2.32400i	−0.652576	+	0.600053i
$16$	−2.75780	−	2.89733i	−0.689451	−	0.724333i
$17$	−5.95282	+	1.59505i	−1.44377	+	0.386857i	−0.893852	−	0.448362i	$-0.852008\pi$
$17$	−5.95282	+	1.59505i	−1.44377	+	0.386857i	−0.549918	+	0.835219i	$0.685341\pi$
$18$	0.0538132	+	0.906671i	0.0126839	+	0.213704i
$19$	4.02951	+	2.32644i	0.924433	+	0.533722i	0.885047	−	0.465502i	$-0.154126\pi$
$19$	4.02951	+	2.32644i	0.924433	+	0.533722i	0.0393866	+	0.999224i	$0.487460\pi$
$20$	−3.69036	+	2.52611i	−0.825189	+	0.564856i
$21$			4.30862i			0.940219i
$22$	2.23973	−	4.47200i	0.477513	−	0.953433i
$23$	2.14251	−	7.99597i	0.446745	−	1.66728i	−0.264543	−	0.964374i	$-0.585221\pi$
$23$	2.14251	−	7.99597i	0.446745	−	1.66728i	0.711288	−	0.702901i	$-0.248112\pi$
$24$	0.364173	−	4.32775i	0.0743365	−	0.883399i
$25$	2.12874	+	4.52421i	0.425748	+	0.904842i
$26$	2.23820	−	4.58154i	0.438946	−	0.898513i
$27$	−3.95461	+	3.95461i	−0.761065	+	0.761065i
$28$	−0.801083	+	5.55455i	−0.151390	+	1.04971i
$29$	1.99058	−	1.14926i	0.369641	−	0.213412i	−0.303661	−	0.952780i	$-0.598209\pi$
$29$	1.99058	−	1.14926i	0.369641	−	0.213412i	0.673301	+	0.739368i	$0.264876\pi$
$30$	−4.71135	−	1.17505i	−0.860171	−	0.214534i
$31$	−2.36728			−0.425177			−0.212588	−	0.977142i	$-0.568189\pi$
$31$	−2.36728			−0.425177			−0.212588	+	0.977142i	$0.568189\pi$
$32$	1.27412	−	5.51150i	0.225235	−	0.974305i
$33$	5.24542	−	1.40551i	0.913110	−	0.244667i
$34$	−6.51712	−	5.78685i	−1.11768	−	0.992436i
$35$	5.98728	+	1.87641i	1.01203	+	0.317172i
$36$	−1.02862	+	0.769316i	−0.171436	+	0.128219i
$37$	2.64848	+	0.709659i	0.435408	+	0.116667i	0.469864	−	0.882739i	$-0.344303\pi$
$37$	2.64848	+	0.709659i	0.435408	+	0.116667i	−0.0344556	+	0.999406i	$0.510970\pi$
$38$	0.389863	+	6.56861i	0.0632441	+	1.06557i
$39$	5.33324	−	1.48572i	0.854002	−	0.237906i
$40$	−5.85526	−	2.39080i	−0.925798	−	0.378019i
$41$	10.4735	−	6.04688i	1.63569	−	0.944363i	0.653391	−	0.757021i	$-0.273346\pi$
$41$	10.4735	−	6.04688i	1.63569	−	0.944363i	0.982295	−	0.187343i	$-0.0599875\pi$
$42$	−5.08718	+	3.35395i	−0.784970	+	0.517526i
$43$	−0.734548	+	0.196821i	−0.112017	+	0.0300150i	−0.314392	−	0.949293i	$-0.601801\pi$
$43$	−0.734548	+	0.196821i	−0.112017	+	0.0300150i	0.202375	+	0.979308i	$0.435134\pi$
$44$	7.02355	−	0.836678i	1.05884	−	0.126134i
$45$	0.665315	+	1.27269i	0.0991794	+	0.189721i
$46$	11.1086	−	3.69463i	1.63788	−	0.544743i
$47$	0.970769	+	0.970769i	0.141601	+	0.141601i	0.774354	−	0.632753i	$-0.218075\pi$
$47$	0.970769	+	0.970769i	0.141601	+	0.141601i	−0.632753	+	0.774354i	$0.718075\pi$
$48$	5.39325	−	2.93887i	0.778449	−	0.424189i
$49$	0.756628	−	0.436839i	0.108090	−	0.0624056i
$50$	−3.68466	+	6.03517i	−0.521089	+	0.853502i
$51$		−	9.46299i		−	1.32508i
$52$	7.15169	−	0.923764i	0.991761	−	0.128103i
$53$	−7.21870	+	7.21870i	−0.991565	+	0.991565i	−0.999965	−	0.00839956i	$-0.997326\pi$
$53$	−7.21870	+	7.21870i	−0.991565	+	0.991565i	0.00839956	+	0.999965i	$0.497326\pi$
$54$	−7.74758	−	1.59082i	−1.05431	−	0.216483i
$55$	0.331294	−	7.90115i	0.0446717	−	1.06539i
$56$	−7.18183	+	3.37798i	−0.959712	+	0.451402i
$57$	−5.05192	+	5.05192i	−0.669143	+	0.669143i
$58$	2.90645	+	1.45565i	0.381636	+	0.191137i
$59$	−4.02191	−	2.32205i	−0.523608	−	0.302305i	0.214802	−	0.976658i	$-0.431090\pi$
$59$	−4.02191	−	2.32205i	−0.523608	−	0.302305i	−0.738410	+	0.674352i	$0.764423\pi$
$60$	−2.28007	−	6.47738i	−0.294356	−	0.836226i
$61$	−1.50326	+	2.60372i	−0.192473	+	0.333372i	−0.946069	−	0.323965i	$-0.894984\pi$
$61$	−1.50326	+	2.60372i	−0.192473	+	0.333372i	0.753596	+	0.657337i	$0.228317\pi$
$62$	−1.84276	−	2.79505i	−0.234031	−	0.354972i
$63$	1.74073	+	0.466427i	0.219311	+	0.0587643i
$64$	7.49923	−	2.78596i	0.937404	−	0.348244i
$65$	0.258071	−	8.05813i	0.0320098	−	0.999488i
$66$	5.74266	+	5.09917i	0.706873	+	0.627665i
$67$	−2.24856	+	8.39173i	−0.274705	+	1.02521i	0.681334	+	0.731973i	$0.261400\pi$
$67$	−2.24856	+	8.39173i	−0.274705	+	1.02521i	−0.956039	+	0.293240i	$0.905266\pi$
$68$	1.75941	−	12.1994i	0.213360	−	1.47939i
$69$	11.0080	+	6.35546i	1.32521	+	0.765108i
$70$	2.44519	+	8.52982i	0.292256	+	1.01951i
$71$	0.333077	−	0.576907i	0.0395290	−	0.0684663i	−0.845584	−	0.533842i	$-0.820748\pi$
$71$	0.333077	−	0.576907i	0.0395290	−	0.0684663i	0.885113	+	0.465376i	$0.154081\pi$
$72$	−1.70903	−	0.615628i	−0.201412	−	0.0725524i
$73$	−0.774938	−	0.774938i	−0.0906997	−	0.0906997i	0.660301	−	0.751001i	$-0.270429\pi$
$73$	−0.774938	−	0.774938i	−0.0906997	−	0.0906997i	−0.751001	+	0.660301i	$0.770429\pi$
$74$	1.22376	+	3.67948i	0.142259	+	0.427731i
$75$	−7.55621	+	1.35930i	−0.872516	+	0.156959i
$76$	−7.45206	+	5.57350i	−0.854810	+	0.639324i
$77$	−7.01714	−	7.01714i	−0.799678	−	0.799678i
$78$	5.90574	+	5.14042i	0.668693	+	0.582038i
$79$	13.5972			1.52980			0.764900	−	0.644149i	$-0.222788\pi$
$79$	13.5972			1.52980			0.764900	+	0.644149i	$0.222788\pi$
$80$	−1.73509	−	8.77436i	−0.193989	−	0.981004i
$81$	−3.33040	−	5.76842i	−0.370044	−	0.640936i
$82$	15.2924	+	7.65898i	1.68876	+	0.845793i
$83$	−6.58933	+	6.58933i	−0.723273	+	0.723273i	−0.969270	−	0.245998i	$-0.920884\pi$
$83$	−6.58933	+	6.58933i	−0.723273	+	0.723273i	0.245998	+	0.969270i	$0.420884\pi$
$84$	−7.92002	−	3.39562i	−0.864145	−	0.370492i
$85$	−13.1498	−	4.12115i	−1.42630	−	0.447001i
$86$	−0.804180	−	0.714068i	−0.0867169	−	0.0769999i
$87$	0.913469	+	3.40911i	0.0979342	+	0.365495i
$88$	6.45520	+	7.64140i	0.688126	+	0.814576i
$89$	−3.02539	−	5.24012i	−0.320690	−	0.555452i	0.659940	−	0.751318i	$-0.270582\pi$
$89$	−3.02539	−	5.24012i	−0.320690	−	0.555452i	−0.980631	+	0.195866i	$0.937248\pi$
$90$	−0.984757	+	1.77623i	−0.103802	+	0.187231i
$91$	−7.22435	−	7.08284i	−0.757317	−	0.742484i
$92$	13.0095	+	10.2399i	1.35634	+	1.06759i
$93$	0.940798	−	3.51111i	0.0975562	−	0.364085i
$94$	−0.390511	+	1.90186i	−0.0402782	+	0.196162i
$95$	4.82004	+	9.22028i	0.494526	+	0.945981i
$96$	7.66818	+	4.08011i	0.782630	+	0.416424i
$97$	0.577547	+	2.15544i	0.0586410	+	0.218851i	0.989028	−	0.147727i	$-0.0471958\pi$
$97$	0.577547	+	2.15544i	0.0586410	+	0.218851i	−0.930387	+	0.366579i	$0.880529\pi$
$98$	1.10476	+	0.553301i	0.111597	+	0.0558918i
$99$		−	2.27136i		−	0.228280i
$100$	−9.99396	+	0.347482i	−0.999396	+	0.0347482i
$101$	−1.66021	−	2.87556i	−0.165197	−	0.286129i	0.771528	−	0.636195i	$-0.219493\pi$
$101$	−1.66021	−	2.87556i	−0.165197	−	0.286129i	−0.936725	+	0.350066i	$0.886159\pi$
$102$	11.1729	−	7.36626i	1.10629	−	0.729368i
$103$	1.34191	+	1.34191i	0.132222	+	0.132222i	0.770120	−	0.637898i	$-0.220196\pi$
$103$	1.34191	+	1.34191i	0.132222	+	0.132222i	−0.637898	+	0.770120i	$0.720196\pi$
$104$	6.65777	+	7.72490i	0.652848	+	0.757489i
$105$	−5.16250	+	8.13448i	−0.503808	+	0.793844i
$106$	−14.1424	−	2.90387i	−1.37363	−	0.282049i
$107$	−13.1200	−	3.51550i	−1.26836	−	0.339856i	−0.438958	−	0.898507i	$-0.644652\pi$
$107$	−13.1200	−	3.51550i	−1.26836	−	0.339856i	−0.829403	+	0.558651i	$0.811319\pi$
$108$	−4.15266	−	10.3859i	−0.399590	−	0.999383i
$109$	−2.45199			−0.234858			−0.117429	−	0.993081i	$-0.537465\pi$
$109$	−2.45199			−0.234858			−0.117429	+	0.993081i	$0.537465\pi$
$110$	9.58676	−	5.75932i	0.914062	−	0.549130i
$111$	−2.10510	+	3.64614i	−0.199807	+	0.346077i
$112$	−9.57892	−	5.85006i	−0.905123	−	0.552779i
$113$	−5.18966	−	19.3681i	−0.488202	−	1.82200i	−0.565186	−	0.824963i	$-0.691196\pi$
$113$	−5.18966	−	19.3681i	−0.488202	−	1.82200i	0.0769840	−	0.997032i	$-0.475471\pi$
$114$	−9.89735	−	2.03224i	−0.926972	−	0.190336i
$115$	13.6256	−	12.5289i	1.27059	−	1.16833i
$116$	0.543776	+	4.56476i	0.0504883	+	0.423828i
$117$	−0.0229015	−	2.31552i	−0.00211725	−	0.214070i
$118$	−0.389128	−	6.55621i	−0.0358221	−	0.603548i
$119$	−14.9761	+	8.64644i	−1.37285	+	0.792618i
$120$	5.87296	−	7.73425i	0.536126	−	0.706037i
$121$	−0.753789	+	1.30560i	−0.0685263	+	0.118691i
$122$	−4.24439	+	0.251915i	−0.384269	+	0.0228073i
$123$	4.80626	+	17.9372i	0.433366	+	1.61734i
$124$	1.86565	−	4.35149i	0.167541	−	0.390776i
$125$	−1.40185	+	11.0921i	−0.125385	+	0.992108i
$126$	0.804324	+	2.41836i	0.0716548	+	0.215444i
$127$	5.49451	+	1.47225i	0.487559	+	0.130641i	0.494220	−	0.869337i	$-0.335454\pi$
$127$	5.49451	+	1.47225i	0.487559	+	0.130641i	−0.00666122	+	0.999978i	$0.502120\pi$
$128$	9.12699	+	6.68566i	0.806719	+	0.590935i
$129$		−	1.16769i		−	0.102809i
$130$	9.71511	−	5.96797i	0.852071	−	0.523426i
$131$			6.09499i			0.532521i	0.963901	+	0.266261i	$0.0857882\pi$
$131$			6.09499i			0.532521i	−0.963901	+	0.266261i	$0.914212\pi$
$132$	−1.55033	+	10.7497i	−0.134939	+	0.935640i
$133$	12.6111	+	3.37915i	1.09352	+	0.293009i
$134$	−11.6584	+	3.87750i	−1.00714	+	0.334965i
$135$	−12.2044	+	2.72779i	−1.05039	+	0.234771i
$136$	15.7734	−	7.41903i	1.35256	−	0.636176i
$137$	−2.90710	−	10.8494i	−0.248370	−	0.926930i	−0.971659	−	0.236385i	$-0.924037\pi$
$137$	−2.90710	−	10.8494i	−0.248370	−	0.926930i	0.723289	−	0.690545i	$-0.242629\pi$
$138$	1.06504	+	17.9444i	0.0906625	+	1.52753i
$139$	3.01603	−	5.22391i	0.255816	−	0.443086i	−0.709301	−	0.704906i	$-0.750989\pi$
$139$	3.01603	−	5.22391i	0.255816	−	0.443086i	0.965117	+	0.261820i	$0.0843225\pi$
$140$	−8.16774	+	9.52689i	−0.690300	+	0.805169i
$141$	−1.82562	+	1.05402i	−0.153745	+	0.0887648i
$142$	0.940430	−	0.0558169i	0.0789191	−	0.00468405i
$143$	−6.26618	+	11.1056i	−0.524004	+	0.928694i
$144$	−0.603490	−	2.49708i	−0.0502909	−	0.208090i
$145$	5.13513	+	0.215316i	0.426450	+	0.0178810i
$146$	0.311734	−	1.51820i	0.0257993	−	0.125647i
$147$	0.347214	+	1.29582i	0.0286377	+	0.106878i
$148$	−3.39175	+	4.30911i	−0.278800	+	0.354206i
$149$	−6.60711	+	11.4439i	−0.541276	+	0.937517i	0.457555	+	0.889181i	$0.348725\pi$
$149$	−6.60711	+	11.4439i	−0.541276	+	0.937517i	−0.998831	+	0.0483359i	$0.984608\pi$
$150$	−7.48689	−	7.86348i	−0.611302	−	0.642051i
$151$	−8.03979			−0.654269			−0.327135	−	0.944978i	$-0.606083\pi$
$151$	−8.03979			−0.654269			−0.327135	+	0.944978i	$0.606083\pi$
$152$	−12.3815	−	4.46007i	−1.00427	−	0.361759i
$153$	−3.82315	−	1.02441i	−0.309083	−	0.0828186i
$154$	2.82279	−	13.7475i	0.227467	−	1.10780i
$155$	−4.46932	−	2.83643i	−0.358985	−	0.227827i
$156$	−1.47209	+	10.9744i	−0.117862	+	0.878651i
$157$	2.04603	+	2.04603i	0.163291	+	0.163291i	0.784023	−	0.620732i	$-0.213164\pi$
$157$	2.04603	+	2.04603i	0.163291	+	0.163291i	−0.620732	+	0.784023i	$0.713164\pi$
$158$	10.5844	+	16.0541i	0.842051	+	1.27720i
$159$	−7.83779	−	13.5755i	−0.621577	−	1.07660i
$160$	9.00924	−	8.87883i	0.712243	−	0.701933i
$161$		−	23.2282i		−	1.83064i
$162$	4.21829	−	8.42250i	0.331420	−	0.661734i
$163$	−2.99715	−	11.1855i	−0.234755	−	0.876116i	−0.978259	−	0.207385i	$-0.933505\pi$
$163$	−2.99715	−	11.1855i	−0.234755	−	0.876116i	0.743505	−	0.668731i	$-0.233162\pi$
$164$	2.86110	+	24.0177i	0.223414	+	1.87547i
$165$	11.5872	+	3.63141i	0.902058	+	0.282705i
$166$	−12.9093	−	2.65069i	−1.00196	−	0.205733i
$167$	−3.67737	+	13.7241i	−0.284563	+	1.06200i	0.664595	+	0.747204i	$0.268604\pi$
$167$	−3.67737	+	13.7241i	−0.284563	+	1.06200i	−0.949158	+	0.314800i	$0.898063\pi$
$168$	−2.15597	−	11.9944i	−0.166337	−	0.925388i
$169$	−6.27605	+	11.3847i	−0.482773	+	0.875745i
$170$	−5.37034	−	18.7340i	−0.411887	−	1.43683i
$171$	1.49414	+	2.58792i	0.114259	+	0.197903i
$172$	0.217102	−	1.50534i	0.0165539	−	0.114781i
$173$	2.73024	+	10.1894i	0.207576	+	0.774685i	0.988649	+	0.150245i	$0.0480062\pi$
$173$	2.73024	+	10.1894i	0.207576	+	0.774685i	−0.781073	+	0.624440i	$0.785327\pi$
$174$	−3.31407	+	3.73228i	−0.251239	+	0.282944i
$175$	9.05542	+	10.7164i	0.684526	+	0.810084i
$176$	−3.99728	+	13.5699i	−0.301307	+	1.02287i
$177$	5.04239	−	5.04239i	0.379009	−	0.379009i
$178$	3.83196	−	7.65113i	0.287217	−	0.573476i
$179$	−1.05357	−	1.82483i	−0.0787472	−	0.136394i	0.823962	−	0.566644i	$-0.191759\pi$
$179$	−1.05357	−	1.82483i	−0.0787472	−	0.136394i	−0.902710	+	0.430250i	$0.858425\pi$
$180$	−2.86376	+	0.219968i	−0.213452	+	0.0163955i
$181$	4.93199			0.366592			0.183296	−	0.983058i	$-0.441323\pi$
$181$	4.93199			0.366592			0.183296	+	0.983058i	$0.441323\pi$
$182$	2.73906	−	14.0433i	0.203033	−	1.04096i
$183$	−3.26436	−	3.26436i	−0.241309	−	0.241309i
$184$	−1.96330	+	23.3314i	−0.144736	+	1.72001i
$185$	4.14992	+	4.51316i	0.305108	+	0.331814i
$186$	4.87790	−	1.62235i	0.357665	−	0.118956i
$187$	15.4117	+	15.4117i	1.12701	+	1.12701i
$188$	−2.54951	+	1.01939i	−0.185942	+	0.0743464i
$189$	−7.84652	+	13.5906i	−0.570751	+	0.988569i
$190$	−7.13432	+	12.8683i	−0.517578	+	0.933568i
$191$	−6.77917	−	3.91395i	−0.490523	−	0.283204i	0.234268	−	0.972172i	$-0.424731\pi$
$191$	−6.77917	−	3.91395i	−0.490523	−	0.283204i	−0.724791	+	0.688968i	$0.758064\pi$
$192$	1.15175	+	12.2299i	0.0831205	+	0.882616i
$193$	0.113915	−	0.425136i	0.00819978	−	0.0306020i	−0.961705	−	0.274088i	$-0.911624\pi$
$193$	0.113915	−	0.425136i	0.00819978	−	0.0306020i	0.969905	+	0.243486i	$0.0782909\pi$
$194$	−2.09534	+	2.35976i	−0.150437	+	0.169421i
$195$	11.8491	+	3.58520i	0.848530	+	0.256741i
$196$	0.206692	+	1.73509i	0.0147637	+	0.123935i
$197$	−11.3728	−	3.04733i	−0.810277	−	0.217113i	−0.170186	−	0.985412i	$-0.554437\pi$
$197$	−11.3728	−	3.04733i	−0.810277	−	0.217113i	−0.640091	+	0.768299i	$0.721104\pi$
$198$	2.68179	−	1.76809i	0.190586	−	0.125653i
$199$	2.17399	−	3.76546i	0.154110	−	0.266927i	−0.778625	−	0.627490i	$-0.784082\pi$
$199$	2.17399	−	3.76546i	0.154110	−	0.266927i	0.932735	+	0.360564i	$0.117416\pi$
$200$	−8.18986	−	11.5294i	−0.579110	−	0.815249i
$201$	−11.5528	−	6.67003i	−0.814873	−	0.470467i
$202$	2.10282	−	4.19862i	0.147954	−	0.295414i
$203$	4.56060	−	4.56060i	0.320091	−	0.320091i
$204$	17.3947	+	7.45776i	1.21787	+	0.522148i
$205$	27.0187	+	1.13289i	1.88707	+	0.0791246i
$206$	−0.539809	+	2.62897i	−0.0376103	+	0.183169i
$207$	3.75933	−	3.75933i	0.261292	−	0.261292i
$208$	−3.93819	+	13.8741i	−0.273064	+	0.961996i
$209$		−	16.4554i		−	1.13824i
$210$	−13.6230	+	0.236759i	−0.940077	+	0.0163379i
$211$	12.3888	−	7.15270i	0.852882	−	0.492412i	−0.00873996	−	0.999962i	$-0.502782\pi$
$211$	12.3888	−	7.15270i	0.852882	−	0.492412i	0.861622	+	0.507550i	$0.169449\pi$
$212$	−7.58022	−	18.9583i	−0.520612	−	1.30206i
$213$	0.723285	+	0.723285i	0.0495587	+	0.0495587i
$214$	−6.06226	−	18.2274i	−0.414407	−	1.24600i
$215$	−1.62262	−	0.508529i	−0.110662	−	0.0346814i
$216$	9.03006	−	12.9877i	0.614418	−	0.883702i
$217$	−6.41628	+	1.71924i	−0.435565	+	0.116709i
$218$	−1.90870	−	2.89507i	−0.129274	−	0.196079i
$219$	1.45735	−	0.841399i	0.0984783	−	0.0568564i
$220$	14.2626	+	6.83586i	0.961586	+	0.460873i
$221$	15.8668	+	15.5560i	1.06731	+	1.04641i
$222$	−5.94367	+	0.352772i	−0.398913	+	0.0236765i
$223$	−11.1833	−	2.99657i	−0.748892	−	0.200665i	−0.135866	−	0.990727i	$-0.543382\pi$
$223$	−11.1833	−	2.99657i	−0.748892	−	0.200665i	−0.613027	+	0.790062i	$0.710048\pi$
$224$	−0.549345	−	15.8637i	−0.0367047	−	1.05994i
$225$	−0.268819	+	3.19994i	−0.0179213	+	0.213329i
$226$	18.8281	−	21.2041i	1.25243	−	1.41048i
$227$	−11.7633	+	3.15196i	−0.780755	+	0.209203i	−0.627118	−	0.778925i	$-0.715765\pi$
$227$	−11.7633	+	3.15196i	−0.780755	+	0.209203i	−0.153638	+	0.988127i	$0.549099\pi$
$228$	−5.30492	−	13.2677i	−0.351327	−	0.878677i
$229$	10.6456			0.703482			0.351741	−	0.936097i	$-0.385590\pi$
$229$	10.6456			0.703482			0.351741	+	0.936097i	$0.385590\pi$
$230$	25.3994	+	6.33482i	1.67479	+	0.417706i
$231$	13.1964	−	7.61895i	0.868260	−	0.501290i
$232$	−4.96632	+	4.19538i	−0.326055	+	0.275440i
$233$	19.0948	−	19.0948i	1.25095	−	1.25095i	0.295648	−	0.955297i	$-0.404464\pi$
$233$	19.0948	−	19.0948i	1.25095	−	1.25095i	0.955297	−	0.295648i	$-0.0955357\pi$
$234$	2.71611	−	1.82951i	0.177557	−	0.119599i
$235$	0.669613	+	2.99592i	0.0436807	+	0.195432i
$236$	7.43800	−	5.56299i	0.484173	−	0.362120i
$237$	−5.40373	+	20.1670i	−0.351010	+	1.30999i
$238$	−21.8667	−	10.9516i	−1.41740	−	0.709887i
$239$		−	4.54098i		−	0.293732i	−0.989156	−	0.146866i	$-0.953081\pi$
$239$		−	4.54098i		−	0.293732i	0.989156	−	0.146866i	$-0.0469185\pi$
$240$	13.7035	+	0.913633i	0.884557	+	0.0589748i
$241$	1.66265	+	0.959933i	0.107101	+	0.0618347i	0.552594	−	0.833451i	$-0.313638\pi$
$241$	1.66265	+	0.959933i	0.107101	+	0.0618347i	−0.445493	+	0.895286i	$0.646972\pi$
$242$	−2.12829	+	0.126319i	−0.136812	+	0.00812012i
$243$	−6.32713	+	1.69535i	−0.405885	+	0.108757i
$244$	−3.60139	−	4.81525i	−0.230555	−	0.308265i
$245$	1.95189	+	0.0818425i	0.124702	+	0.00522873i
$246$	−17.4371	+	19.6376i	−1.11175	+	1.25205i
$247$	−0.165916	−	16.7754i	−0.0105570	−	1.06739i
$248$	6.59008	−	1.18455i	0.418470	−	0.0752192i
$249$	−7.15444	−	12.3919i	−0.453394	−	0.785302i
$250$	−14.1877	+	6.97925i	−0.897307	+	0.441407i
$251$	7.42751	+	4.28828i	0.468821	+	0.270674i	0.715746	−	0.698361i	$-0.246087\pi$
$251$	7.42751	+	4.28828i	0.468821	+	0.270674i	−0.246925	+	0.969035i	$0.579420\pi$
$252$	−2.22924	+	2.83218i	−0.140429	+	0.178411i
$253$	−28.2786	+	7.57723i	−1.77786	+	0.476376i
$254$	2.53880	+	7.63340i	0.159299	+	0.478962i
$255$	11.3383	−	17.8657i	0.710035	−	1.11879i
$256$	−0.789044	+	15.9805i	−0.0493152	+	0.998783i
$257$	−1.89971	+	7.08983i	−0.118501	+	0.442251i	−0.999525	−	0.0308201i	$-0.990188\pi$
$257$	−1.89971	+	7.08983i	−0.118501	+	0.442251i	0.881024	+	0.473071i	$0.156855\pi$
$258$	1.37868	−	0.908959i	0.0858331	−	0.0565893i
$259$	7.69383			0.478071
$260$	14.6089	+	6.82497i	0.906005	+	0.423267i
$261$	1.47621			0.0913748
$262$	−7.19634	+	4.74451i	−0.444592	+	0.293117i
$263$	5.18536	−	19.3520i	0.319743	−	1.19330i	−0.599749	−	0.800188i	$-0.704733\pi$
$263$	5.18536	−	19.3520i	0.319743	−	1.19330i	0.919492	−	0.393108i	$-0.128600\pi$
$264$	−13.8990	+	6.53739i	−0.855422	+	0.402349i
$265$	−22.2779	+	4.97929i	−1.36852	+	0.305875i
$266$	5.82712	+	17.5204i	0.357284	+	1.07424i
$267$	8.97437	−	2.40468i	0.549223	−	0.147164i
$268$	−13.6534	−	10.7468i	−0.834016	−	0.656463i
$269$	6.38159	+	3.68441i	0.389093	+	0.224643i	0.681767	−	0.731570i	$-0.261212\pi$
$269$	6.38159	+	3.68441i	0.389093	+	0.224643i	−0.292674	+	0.956212i	$0.594545\pi$
$270$	−12.7210	−	12.2864i	−0.774174	−	0.747725i
$271$	5.59562	+	9.69189i	0.339910	+	0.588741i	0.984415	−	0.175859i	$-0.0562702\pi$
$271$	5.59562	+	9.69189i	0.339910	+	0.588741i	−0.644506	+	0.764599i	$0.722937\pi$
$272$	21.0381	+	12.8484i	1.27562	+	0.779051i
$273$	13.3762	−	7.90016i	0.809564	−	0.478139i
$274$	10.5469	−	11.8779i	0.637164	−	0.717571i
$275$	10.0925	−	14.5201i	0.608598	−	0.875592i
$276$	−20.3578	+	15.2259i	−1.22540	+	0.916492i
$277$	−1.62560	+	0.435577i	−0.0976727	+	0.0261713i	−0.307324	−	0.951605i	$-0.599434\pi$
$277$	−1.62560	+	0.435577i	−0.0976727	+	0.0261713i	0.209652	+	0.977776i	$0.432767\pi$
$278$	8.51563	−	0.505424i	0.510733	−	0.0303133i
$279$	−1.31668	−	0.760185i	−0.0788275	−	0.0455111i
$280$	−17.6064	−	2.22764i	−1.05218	−	0.133127i
$281$			24.3289i			1.45134i	0.688044	+	0.725669i	$0.258470\pi$
$281$			24.3289i			1.45134i	−0.688044	+	0.725669i	$0.741530\pi$
$282$	−2.66560	−	1.33503i	−0.158734	−	0.0794998i
$283$	7.60440	−	28.3800i	0.452035	−	1.68702i	−0.244627	−	0.969617i	$-0.578666\pi$
$283$	7.60440	−	28.3800i	0.452035	−	1.68702i	0.696662	−	0.717400i	$-0.254668\pi$
$284$	0.797960	+	1.06691i	0.0473502	+	0.0633098i
$285$	−15.5909	+	3.48469i	−0.923525	+	0.206415i
$286$	−17.9901	+	1.24642i	−1.06378	+	0.0737023i
$287$	23.9958	−	23.9958i	1.41643	−	1.41643i
$288$	2.47852	−	2.65634i	0.146048	−	0.156526i
$289$	18.1694	−	10.4901i	1.06879	−	0.617065i
$290$	3.74311	+	6.23065i	0.219803	+	0.365877i
$291$	−3.42642			−0.200860
$292$	2.03520	−	0.813748i	0.119101	−	0.0476210i
$293$	0.505121	−	0.135347i	0.0295095	−	0.00790704i	−0.244034	−	0.969767i	$-0.578471\pi$
$293$	0.505121	−	0.135347i	0.0295095	−	0.00790704i	0.273544	+	0.961860i	$0.411804\pi$
$294$	−1.25969	+	1.41866i	−0.0734668	+	0.0827379i
$295$	−4.81095	−	9.20289i	−0.280104	−	0.535813i
$296$	−7.72799	−	0.650297i	−0.449180	−	0.0377978i
$297$	19.1051	+	5.11919i	1.10859	+	0.297046i
$298$	−18.6549	+	1.10722i	−1.08065	+	0.0641393i
$299$	−28.7521	+	8.00969i	−1.66278	+	0.463212i
$300$	3.45639	−	14.9609i	0.199555	−	0.863769i
$301$	−1.84797	+	1.06693i	−0.106515	+	0.0614967i
$302$	−6.25840	−	9.49257i	−0.360131	−	0.546236i
$303$	4.92477	−	1.31959i	0.282921	−	0.0758083i
$304$	−4.37214	−	18.0907i	−0.250759	−	1.03757i
$305$	−5.95781	+	3.11453i	−0.341143	+	0.178338i
$306$	−1.76653	−	5.31141i	−0.100986	−	0.303633i
$307$	11.1493	+	11.1493i	0.636323	+	0.636323i	0.949647	−	0.313323i	$-0.101442\pi$
$307$	11.1493	+	11.1493i	0.636323	+	0.636323i	−0.313323	+	0.949647i	$0.601442\pi$
$308$	18.4290	−	7.36857i	1.05009	−	0.419863i
$309$	−2.52358	+	1.45699i	−0.143562	+	0.0828853i
$310$	−0.130082	−	7.48488i	−0.00738817	−	0.425113i
$311$			17.3518i			0.983929i	0.870615	+	0.491965i	$0.163721\pi$
$311$			17.3518i			0.983929i	−0.870615	+	0.491965i	$0.836279\pi$
$312$	−14.1033	+	6.80465i	−0.798443	+	0.385237i
$313$	−2.23268	+	2.23268i	−0.126199	+	0.126199i	−0.767385	−	0.641186i	$-0.778443\pi$
$313$	−2.23268	+	2.23268i	−0.126199	+	0.126199i	0.641186	+	0.767385i	$0.278443\pi$
$314$	−0.823056	+	4.00843i	−0.0464477	+	0.226209i
$315$	2.72755	+	2.96630i	0.153680	+	0.167132i
$316$	−10.7159	+	24.9940i	−0.602816	+	1.40602i
$317$	2.45494	−	2.45494i	0.137883	−	0.137883i	−0.634796	−	0.772680i	$-0.718916\pi$
$317$	2.45494	−	2.45494i	0.137883	−	0.137883i	0.772680	+	0.634796i	$0.218916\pi$
$318$	9.92736	−	19.8216i	0.556699	−	1.11154i
$319$	−7.03988	−	4.06448i	−0.394158	−	0.227567i
$320$	17.4963	+	3.72566i	0.978071	+	0.208271i
$321$	10.4282	−	18.0622i	0.582047	−	1.00814i
$322$	27.4255	−	18.0815i	1.52837	−	1.00764i
$323$	−27.6977	−	7.42159i	−1.54114	−	0.412948i
$324$	13.2281	−	1.57579i	0.734893	−	0.0875438i
$325$	10.1423	−	14.9042i	0.562593	−	0.826734i
$326$	10.8736	−	12.2458i	0.602235	−	0.678234i
$327$	0.974463	−	3.63674i	0.0538879	−	0.201112i
$328$	−26.1305	+	22.0742i	−1.44282	+	1.21884i
$329$	3.33619	+	1.92615i	0.183930	+	0.106192i
$330$	4.73216	+	16.5077i	0.260497	+	0.908721i
$331$	2.34372	−	4.05944i	0.128823	−	0.223127i	−0.794398	−	0.607397i	$-0.792214\pi$
$331$	2.34372	−	4.05944i	0.128823	−	0.223127i	0.923221	+	0.384270i	$0.125547\pi$
$332$	−6.91933	−	17.3054i	−0.379747	−	0.949757i
$333$	1.24519	+	1.24519i	0.0682362	+	0.0682362i
$334$	−19.0666	+	6.34138i	−1.04328	+	0.346985i
$335$	−14.3000	+	13.1490i	−0.781291	+	0.718408i
$336$	12.4835	−	11.8823i	0.681031	−	0.648234i
$337$	11.2976	+	11.2976i	0.615421	+	0.615421i	0.944354	−	0.328932i	$-0.106689\pi$
$337$	11.2976	+	11.2976i	0.615421	+	0.615421i	−0.328932	+	0.944354i	$0.606689\pi$
$338$	−18.3273	+	1.45204i	−0.996876	+	0.0789808i
$339$	30.7888			1.67222
$340$	17.9387	−	20.9238i	0.972865	−	1.13475i
$341$	4.18608	+	7.25050i	0.226689	+	0.392636i
$342$	−1.89248	+	3.77864i	−0.102333	+	0.204325i
$343$	−12.1555	+	12.1555i	−0.656337	+	0.656337i
$344$	1.94636	−	0.915470i	0.104941	−	0.0493589i
$345$	13.1676	+	25.1883i	0.708919	+	1.35609i
$346$	−9.90530	+	11.1553i	−0.532512	+	0.599713i
$347$	−4.11729	−	15.3659i	−0.221028	−	0.824886i	−0.983957	−	0.178405i	$-0.942906\pi$
$347$	−4.11729	−	15.3659i	−0.221028	−	0.824886i	0.762930	−	0.646481i	$-0.223760\pi$
$348$	−6.98647	−	1.00760i	−0.374514	−	0.0540128i
$349$	−9.02653	−	15.6344i	−0.483179	−	0.836890i	0.516634	−	0.856206i	$-0.327185\pi$
$349$	−9.02653	−	15.6344i	−0.483179	−	0.836890i	−0.999813	+	0.0193156i	$0.993851\pi$
$350$	−5.60384	+	19.0337i	−0.299538	+	1.01739i
$351$	19.5282	+	5.02610i	1.04234	+	0.268273i
$352$	−19.1336	+	5.84363i	−1.01982	+	0.311467i
$353$	−1.94482	+	7.25817i	−0.103512	+	0.386314i	−0.998172	−	0.0604346i	$-0.980751\pi$
$353$	−1.94482	+	7.25817i	−0.103512	+	0.386314i	0.894660	+	0.446748i	$0.147418\pi$
$354$	9.87868	+	2.02840i	0.525046	+	0.107808i
$355$	1.32007	−	0.690088i	0.0700621	−	0.0366260i
$356$	12.0166	−	1.43147i	0.636878	−	0.0758678i
$357$	−6.87248	−	25.6484i	−0.363730	−	1.35746i
$358$	1.33445	−	2.66444i	0.0705278	−	0.140820i
$359$			24.4215i			1.28892i	0.764638	+	0.644460i	$0.222918\pi$
$359$			24.4215i			1.28892i	−0.764638	+	0.644460i	$0.777082\pi$
$360$	−2.48895	−	3.21000i	−0.131179	−	0.169182i
$361$	1.32464	+	2.29435i	0.0697180	+	0.120755i
$362$	3.83920	+	5.82319i	0.201784	+	0.306060i
$363$	−1.63687	−	1.63687i	−0.0859134	−	0.0859134i
$364$	18.7130	−	7.69767i	0.980829	−	0.403467i
$365$	−0.534534	−	2.39156i	−0.0279788	−	0.125180i
$366$	1.31316	−	6.39531i	0.0686398	−	0.334288i
$367$	−20.3749	−	5.45944i	−1.06356	−	0.284981i	−0.315717	−	0.948854i	$-0.602245\pi$
$367$	−20.3749	−	5.45944i	−1.06356	−	0.284981i	−0.747845	+	0.663873i	$0.768912\pi$
$368$	−29.0756	+	15.8437i	−1.51567	+	0.825912i
$369$	7.76711			0.404340
$370$	−2.09827	+	8.41297i	−0.109084	+	0.437370i
$371$	−14.3230	+	24.8081i	−0.743611	+	1.28797i
$372$	5.71260	+	4.49645i	0.296184	+	0.233130i
$373$	7.22077	+	26.9483i	0.373877	+	1.39533i	0.854978	+	0.518664i	$0.173571\pi$
$373$	7.22077	+	26.9483i	0.373877	+	1.39533i	−0.481100	+	0.876665i	$0.659763\pi$
$374$	−6.19966	+	30.1935i	−0.320577	+	1.56127i
$375$	−15.8945	−	6.48738i	−0.820786	−	0.335007i
$376$	−3.18820	−	2.21668i	−0.164419	−	0.114317i
$377$	−7.21775	−	4.07253i	−0.371733	−	0.209746i
$378$	−22.1543	+	1.31491i	−1.13950	+	0.0676319i
$379$	−24.6371	+	14.2242i	−1.26552	+	0.730649i	−0.974137	−	0.225958i	$-0.927449\pi$
$379$	−24.6371	+	14.2242i	−1.26552	+	0.730649i	−0.291384	+	0.956606i	$0.594116\pi$
$380$	−20.7472	+	1.59361i	−1.06431	+	0.0817507i
$381$	−4.36722	+	7.56424i	−0.223739	+	0.387528i
$382$	−0.655897	−	11.0509i	−0.0335586	−	0.565412i
$383$	9.07966	+	33.8858i	0.463949	+	1.73148i	0.660350	+	0.750958i	$0.270408\pi$
$383$	9.07966	+	33.8858i	0.463949	+	1.73148i	−0.196401	+	0.980524i	$0.562926\pi$
$384$	−13.5432	+	10.8800i	−0.691126	+	0.555216i
$385$	−4.84026	−	21.6558i	−0.246682	−	1.10368i
$386$	0.590632	−	0.196439i	0.0300624	−	0.00999848i
$387$	−0.471757	−	0.126407i	−0.0239808	−	0.00642563i
$388$	−4.41724	−	0.637059i	−0.224251	−	0.0323418i
$389$		−	7.03746i		−	0.356814i	−0.983957	−	0.178407i	$-0.942906\pi$
$389$		−	7.03746i		−	0.356814i	0.983957	−	0.178407i	$-0.0570943\pi$
$390$	4.99062	+	16.7810i	0.252710	+	0.849739i
$391$			51.0160i			2.57999i
$392$	−1.88772	+	1.59468i	−0.0953444	+	0.0805437i
$393$	−9.03995	−	2.42225i	−0.456005	−	0.122186i
$394$	−5.25492	−	15.8000i	−0.264739	−	0.795990i
$395$	25.6708	+	16.2918i	1.29164	+	0.819730i
$396$	4.17516	+	1.79005i	0.209810	+	0.0899534i
$397$	2.72114	+	10.1554i	0.136570	+	0.509687i	0.999987	+	0.00519491i	$0.00165360\pi$
$397$	2.72114	+	10.1554i	0.136570	+	0.509687i	−0.863416	+	0.504492i	$0.831680\pi$
$398$	6.13817	−	0.364316i	0.307679	−	0.0182615i
$399$	−10.0238	+	17.3616i	−0.501815	+	0.869169i
$400$	7.23749	−	18.6445i	0.361874	−	0.932227i
$401$	−20.9739	+	12.1093i	−1.04739	+	0.604708i	−0.921916	−	0.387390i	$-0.873377\pi$
$401$	−20.9739	+	12.1093i	−1.04739	+	0.604708i	−0.125469	+	0.992098i	$0.540044\pi$
$402$	−1.11776	−	18.8325i	−0.0557487	−	0.939282i
$403$	4.34058	+	7.34928i	0.216220	+	0.366093i
$404$	6.59421	−	0.785532i	0.328074	−	0.0390817i
$405$	0.623956	−	14.8809i	0.0310046	−	0.739439i
$406$	8.93480	+	1.83459i	0.443426	+	0.0910493i
$407$	−2.50978	−	9.36664i	−0.124405	−	0.464287i
$408$	4.73514	+	26.3432i	0.234424	+	1.30418i
$409$	−11.7219	+	20.3029i	−0.579611	+	1.00392i	0.415913	+	0.909404i	$0.363462\pi$
$409$	−11.7219	+	20.3029i	−0.579611	+	1.00392i	−0.995524	+	0.0945110i	$0.969871\pi$
$410$	19.6945	+	32.7828i	0.972644	+	1.61903i
$411$	17.2470			0.850731
$412$	−3.52422	+	1.40911i	−0.173626	+	0.0694219i
$413$	−12.5873	−	3.37277i	−0.619383	−	0.165963i
$414$	7.36501	+	1.51227i	0.361971	+	0.0743239i
$415$	−20.3355	+	4.54516i	−0.998232	+	0.223113i
$416$	−19.4467	+	6.15018i	−0.953454	+	0.301538i
$417$	6.54937	+	6.54937i	0.320724	+	0.320724i
$418$	19.4289	−	12.8094i	0.950297	−	0.626526i
$419$	11.4837	+	19.8903i	0.561014	+	0.971704i	0.997408	+	0.0719489i	$0.0229219\pi$
$419$	11.4837	+	19.8903i	0.561014	+	0.971704i	−0.436395	+	0.899755i	$0.643745\pi$
$420$	−10.8841	−	15.9004i	−0.531089	−	0.775858i
$421$		−	6.76931i		−	0.329916i	−0.986301	−	0.164958i	$-0.947251\pi$
$421$		−	6.76931i		−	0.329916i	0.986301	−	0.164958i	$-0.0527489\pi$
$422$	18.0890	+	9.05961i	0.880559	+	0.441015i
$423$	0.228205	+	0.851674i	0.0110957	+	0.0414098i
$424$	16.4834	−	23.7076i	0.800504	−	1.15135i
$425$	−19.8883	−	23.5363i	−0.964726	−	1.14168i
$426$	−0.290956	+	1.41701i	−0.0140969	+	0.0686543i
$427$	−2.18348	+	8.14886i	−0.105666	+	0.394351i
$428$	16.8020	−	21.3464i	0.812155	−	1.03182i
$429$	−13.9812	−	13.7074i	−0.675021	−	0.661799i
$430$	−0.662673	−	2.31168i	−0.0319569	−	0.111479i
$431$	−17.5634	−	30.4207i	−0.845998	−	1.46531i	−0.884752	−	0.466062i	$-0.845672\pi$
$431$	−17.5634	−	30.4207i	−0.845998	−	1.46531i	0.0387540	−	0.999249i	$-0.487661\pi$
$432$	22.3638	+	0.551774i	1.07598	+	0.0265473i
$433$	7.58850	+	28.3207i	0.364680	+	1.36100i	0.867854	+	0.496819i	$0.165499\pi$
$433$	7.58850	+	28.3207i	0.364680	+	1.36100i	−0.503174	+	0.864185i	$0.667835\pi$
$434$	−7.02451	−	6.23739i	−0.337187	−	0.299404i
$435$	−2.36014	+	7.53075i	−0.113160	+	0.361072i
$436$	1.93241	−	4.50720i	0.0925457	−	0.215856i
$437$	27.2354	−	27.2354i	1.30285	−	1.30285i
$438$	2.12788	+	1.06572i	0.101674	+	0.0509219i
$439$	8.98690	+	15.5658i	0.428921	+	0.742914i	0.996778	−	0.0802140i	$-0.0255604\pi$
$439$	8.98690	+	15.5658i	0.428921	+	0.742914i	−0.567856	+	0.823128i	$0.692227\pi$
$440$	3.03135	+	22.1611i	0.144514	+	1.05649i
$441$	0.561113			0.0267197
$442$	−6.01578	+	30.8431i	−0.286141	+	1.46706i
$443$	−23.6083	−	23.6083i	−1.12166	−	1.12166i	−0.991491	−	0.130173i	$-0.958447\pi$
$443$	−23.6083	−	23.6083i	−1.12166	−	1.12166i	−0.130173	−	0.991491i	$-0.541553\pi$
$444$	−5.04324	−	6.74307i	−0.239341	−	0.320012i
$445$	0.566811	−	13.5181i	0.0268694	−	0.640817i
$446$	−5.16739	−	15.5368i	−0.244683	−	0.735688i
$447$	−14.3475	−	14.3475i	−0.678614	−	0.678614i
$448$	18.3026	−	12.9973i	0.864716	−	0.614067i
$449$	7.23756	−	12.5358i	0.341562	−	0.591602i	−0.643161	−	0.765731i	$-0.722377\pi$
$449$	7.23756	−	12.5358i	0.341562	−	0.591602i	0.984723	+	0.174129i	$0.0557108\pi$
$450$	−3.98742	+	2.17353i	−0.187969	+	0.102461i
$451$	−37.0406	−	21.3854i	−1.74418	−	1.00700i
$452$	39.6920	+	5.72442i	1.86695	+	0.269254i
$453$	3.19515	−	11.9244i	0.150121	−	0.560259i
$454$	−12.8784	−	11.4353i	−0.604412	−	0.536685i
$455$	−5.15272	−	22.0281i	−0.241563	−	1.03269i
$456$	11.5357	−	16.5915i	0.540208	−	0.776968i
$457$	−4.88104	−	1.30787i	−0.228325	−	0.0611796i	0.142842	−	0.989745i	$-0.454376\pi$
$457$	−4.88104	−	1.30787i	−0.228325	−	0.0611796i	−0.371168	+	0.928566i	$0.621043\pi$
$458$	8.28685	+	12.5693i	0.387219	+	0.587323i
$459$	17.2332	−	29.8489i	0.804379	−	1.39323i
$460$	12.2921	+	34.9202i	0.573122	+	1.62816i
$461$	6.11618	+	3.53118i	0.284859	+	0.164463i	0.635621	−	0.772001i	$-0.280744\pi$
$461$	6.11618	+	3.53118i	0.284859	+	0.164463i	−0.350762	+	0.936465i	$0.614077\pi$
$462$	19.2681	+	9.65017i	0.896435	+	0.448967i
$463$	4.86860	−	4.86860i	0.226263	−	0.226263i	−0.584866	−	0.811130i	$-0.698853\pi$
$463$	4.86860	−	4.86860i	0.226263	−	0.226263i	0.811130	+	0.584866i	$0.198853\pi$
$464$	−8.81940	−	2.59792i	−0.409430	−	0.120606i
$465$	5.98311	−	5.50156i	0.277460	−	0.255129i
$466$	37.4092	+	7.68128i	1.73295	+	0.355829i
$467$	−5.27220	+	5.27220i	−0.243968	+	0.243968i	−0.818490	−	0.574521i	$-0.805188\pi$
$467$	−5.27220	+	5.27220i	−0.243968	+	0.243968i	0.574521	+	0.818490i	$0.305188\pi$
$468$	4.27439	+	1.78276i	0.197584	+	0.0824082i
$469$			24.3779i			1.12567i
$470$	−3.01603	+	3.12272i	−0.139119	+	0.144040i
$471$	−3.84775	+	2.22150i	−0.177295	+	0.102361i
$472$	12.3582	+	4.45165i	0.568831	+	0.204904i
$473$	1.90173	+	1.90173i	0.0874414	+	0.0874414i
$474$	−28.0176	+	9.31840i	−1.28689	+	0.428008i
$475$	−1.94752	+	23.1827i	−0.0893585	+	1.06370i
$476$	−4.09109	−	34.3430i	−0.187515	−	1.57411i
$477$	−6.33310	+	1.69695i	−0.289973	+	0.0776980i
$478$	5.36153	−	3.53483i	0.245231	−	0.161679i
$479$	12.1593	−	7.02015i	0.555570	−	0.320759i	−0.195795	−	0.980645i	$-0.562729\pi$
$479$	12.1593	−	7.02015i	0.555570	−	0.320759i	0.751366	+	0.659886i	$0.229395\pi$
$480$	9.58847	+	16.8909i	0.437652	+	0.770961i
$481$	−2.65303	−	9.52347i	−0.120968	−	0.434233i
$482$	0.160865	+	2.71033i	0.00732719	+	0.123452i
$483$	34.4516	+	9.23128i	1.56760	+	0.420038i
$484$	−1.80587	−	2.41454i	−0.0820849	−	0.109752i
$485$	−1.49221	+	4.76137i	−0.0677579	+	0.216203i
$486$	−6.92691	−	6.15072i	−0.314211	−	0.279002i
$487$	1.38192	−	0.370284i	0.0626208	−	0.0167792i	−0.227373	−	0.973808i	$-0.573014\pi$
$487$	1.38192	−	0.370284i	0.0626208	−	0.0167792i	0.289993	+	0.957029i	$0.406347\pi$
$488$	2.88193	−	8.00048i	0.130459	−	0.362165i
$489$	17.7812			0.804094
$490$	1.42277	+	2.36830i	0.0642744	+	0.106989i
$491$	4.03398	−	2.32902i	0.182051	−	0.105107i	−0.406205	−	0.913782i	$-0.633148\pi$
$491$	4.03398	−	2.32902i	0.182051	−	0.105107i	0.588256	+	0.808675i	$0.299815\pi$
$492$	−36.7596	−	5.30151i	−1.65725	−	0.239010i
$493$	−10.0164	+	10.0164i	−0.451116	+	0.451116i
$494$	19.6775	−	13.2543i	0.885333	−	0.596340i
$495$	2.72149	−	4.28821i	0.122322	−	0.192741i
$496$	6.52851	+	6.85881i	0.293139	+	0.307969i
$497$	0.483794	−	1.80554i	0.0217011	−	0.0809896i
$498$	9.06183	−	18.0934i	0.406070	−	0.810785i
$499$		−	24.9546i		−	1.11712i	−0.829463	−	0.558562i	$-0.811353\pi$
$499$		−	24.9546i		−	1.11712i	0.829463	−	0.558562i	$-0.188647\pi$
$500$	−19.2845	−	11.3185i	−0.862428	−	0.506179i
$501$	−18.8939	−	10.9084i	−0.844116	−	0.487350i
$502$	0.718626	+	12.1078i	0.0320739	+	0.540396i
$503$	35.0351	−	9.38763i	1.56214	−	0.418574i	0.628799	−	0.777568i	$-0.283547\pi$
$503$	35.0351	−	9.38763i	1.56214	−	0.418574i	0.933340	+	0.358994i	$0.116880\pi$
$504$	−5.07926	−	0.427411i	−0.226248	−	0.0190384i
$505$	0.311043	−	7.41815i	0.0138412	−	0.330104i
$506$	−30.9593	−	27.4902i	−1.37631	−	1.22209i
$507$	−14.3913	−	13.8330i	−0.639141	−	0.614344i
$508$	−7.03647	+	8.93961i	−0.312193	+	0.396631i
$509$	8.00097	+	13.8581i	0.354637	+	0.614249i	0.987056	−	0.160378i	$-0.0512712\pi$
$509$	8.00097	+	13.8581i	0.354637	+	0.614249i	−0.632419	+	0.774626i	$0.717938\pi$
$510$	29.9201	−	0.519991i	1.32488	−	0.0230256i
$511$	−2.66319	−	1.53759i	−0.117812	−	0.0680190i
$512$	−19.4824	+	11.5081i	−0.861009	+	0.508590i
$513$	−25.1353	+	6.73498i	−1.10975	+	0.297357i
$514$	−9.84974	+	3.27594i	−0.434453	+	0.144495i
$515$	0.925614	+	4.14130i	0.0407874	+	0.182487i
$516$	2.14641	+	0.920250i	0.0944906	+	0.0405118i
$517$	1.25665	−	4.68988i	0.0552673	−	0.206260i
$518$	5.98909	+	9.08409i	0.263146	+	0.399132i
$519$	−16.1977			−0.711001
$520$	3.31374	+	22.5615i	0.145317	+	0.989385i
$521$	−26.5175			−1.16175			−0.580876	−	0.813992i	$-0.697290\pi$
$521$	−26.5175			−1.16175			−0.580876	+	0.813992i	$0.697290\pi$
$522$	1.14912	+	1.74295i	0.0502956	+	0.0762870i
$523$	−7.02065	+	26.2014i	−0.306991	+	1.14571i	0.624226	+	0.781244i	$0.285414\pi$
$523$	−7.02065	+	26.2014i	−0.306991	+	1.14571i	−0.931218	+	0.364464i	$0.881252\pi$
$524$	−11.2037	−	4.80345i	−0.489435	−	0.209840i
$525$	−19.4931	+	9.17193i	−0.850749	+	0.400296i
$526$	26.8853	−	8.94182i	1.17226	−	0.389882i
$527$	14.0920	−	3.77594i	0.613858	−	0.164483i
$528$	−18.5380	−	11.3216i	−0.806765	−	0.492709i
$529$	−39.4266	−	22.7630i	−1.71420	−	0.989694i
$530$	−23.2208	−	22.4274i	−1.00865	−	0.974185i
$531$	−1.49132	−	2.58304i	−0.0647177	−	0.112094i
$532$	−16.1503	+	20.5184i	−0.700204	+	0.889587i
$533$	−37.9765	−	21.4278i	−1.64495	−	0.928140i
$534$	9.82511	+	8.72416i	0.425174	+	0.377531i
$535$	−20.5578	−	22.3572i	−0.888792	−	0.966587i
$536$	2.06047	−	24.4862i	0.0889987	−	1.05764i
$537$	3.12525	−	0.837409i	0.134865	−	0.0361369i
$538$	0.617431	+	10.4028i	0.0266194	+	0.448496i
$539$	−2.67589	−	1.54493i	−0.115259	−	0.0665448i
$540$	4.60413	−	24.5837i	0.198130	−	1.05791i
$541$		−	4.72510i		−	0.203148i	−0.994828	−	0.101574i	$-0.967612\pi$
$541$		−	4.72510i		−	0.203148i	0.994828	−	0.101574i	$-0.0323879\pi$
$542$	−7.08742	+	14.1512i	−0.304431	+	0.607845i
$543$	−1.96005	+	7.31502i	−0.0841140	+	0.313918i
$544$	1.20652	+	34.8412i	0.0517292	+	1.49381i
$545$	−4.62925	−	2.93792i	−0.198295	−	0.125847i
$546$	19.7401	+	9.64354i	0.844799	+	0.412706i
$547$	−19.6920	+	19.6920i	−0.841970	+	0.841970i	−0.989115	−	0.147145i	$-0.952992\pi$
$547$	−19.6920	+	19.6920i	−0.841970	+	0.841970i	0.147145	+	0.989115i	$0.452992\pi$
$548$	22.2343	+	3.20665i	0.949802	+	0.136981i
$549$	−1.67222	+	0.965456i	−0.0713686	+	0.0412047i
$550$	25.0001	+	0.613319i	1.06601	+	0.0261520i
$551$	10.6947			0.455611
$552$	−33.8243	−	12.1842i	−1.43966	−	0.518593i
$553$	36.8537	−	9.87491i	1.56718	−	0.419924i
$554$	−1.77970	−	1.58027i	−0.0756121	−	0.0671394i
$555$	−8.34307	+	4.36146i	−0.354143	+	0.185134i
$556$	7.22556	+	9.66095i	0.306432	+	0.409716i
$557$	26.4602	+	7.08998i	1.12115	+	0.300412i	0.771350	−	0.636411i	$-0.219582\pi$
$557$	26.4602	+	7.08998i	1.12115	+	0.300412i	0.349803	+	0.936823i	$0.386248\pi$
$558$	−0.127391	−	2.14635i	−0.00539290	−	0.0908622i
$559$	1.95788	+	1.91953i	0.0828095	+	0.0811875i
$560$	−11.0751	−	22.5219i	−0.468010	−	0.951724i
$561$	−28.9831	+	16.7334i	−1.22367	+	0.706486i
$562$	−28.7250	+	18.9383i	−1.21169	+	0.798863i
$563$	44.5002	−	11.9238i	1.87546	−	0.502528i	0.875651	−	0.482944i	$-0.160433\pi$
$563$	44.5002	−	11.9238i	1.87546	−	0.502528i	0.999808	−	0.0195834i	$-0.00623399\pi$
$564$	−0.498715	−	4.18650i	−0.0209997	−	0.176283i
$565$	13.4086	−	42.7842i	0.564103	−	1.79994i
$566$	39.4277	−	13.1133i	1.65727	−	0.551193i
$567$	−13.2160	−	13.2160i	−0.555020	−	0.555020i
$568$	−0.638550	+	1.77267i	−0.0267929	+	0.0743795i
$569$	16.0106	−	9.24375i	0.671201	−	0.387518i	−0.125331	−	0.992115i	$-0.539999\pi$
$569$	16.0106	−	9.24375i	0.671201	−	0.387518i	0.796531	+	0.604597i	$0.206666\pi$
$570$	−16.2508	−	15.6956i	−0.680670	−	0.657415i
$571$			0.440985i			0.0184547i	0.999957	+	0.00922733i	$0.00293719\pi$
$571$			0.440985i			0.0184547i	−0.999957	+	0.00922733i	$0.997063\pi$
$572$	−15.4756	−	20.2706i	−0.647069	−	0.847558i
$573$	8.49924	−	8.49924i	0.355061	−	0.355061i
$574$	47.0108	+	9.65278i	1.96219	+	0.402899i
$575$	40.7363	−	7.32815i	1.69882	−	0.305605i
$576$	5.06568	+	0.858617i	0.211070	+	0.0357757i
$577$	20.6868	−	20.6868i	0.861202	−	0.861202i	−0.130276	−	0.991478i	$-0.541586\pi$
$577$	20.6868	−	20.6868i	0.861202	−	0.861202i	0.991478	+	0.130276i	$0.0415863\pi$
$578$	26.5292	+	13.2868i	1.10347	+	0.552657i
$579$	0.585281	+	0.337912i	0.0243235	+	0.0140432i
$580$	−4.44278	+	9.26960i	−0.184476	+	0.384899i
$581$	−13.0742	+	22.6452i	−0.542409	+	0.939480i
$582$	−2.66722	−	4.04557i	−0.110560	−	0.167694i
$583$	34.8742	+	9.34452i	1.44434	+	0.387011i
$584$	2.54505	+	1.76952i	0.105315	+	0.0732231i
$585$	2.73117	−	4.39904i	0.112920	−	0.181878i
$586$	0.553004	+	0.491038i	0.0228444	+	0.0202846i
$587$	8.31308	−	31.0248i	0.343117	−	1.28053i	−0.551679	−	0.834057i	$-0.686012\pi$
$587$	8.31308	−	31.0248i	0.343117	−	1.28053i	0.894796	−	0.446475i	$-0.147321\pi$
$588$	−2.65559	−	0.382992i	−0.109515	−	0.0157943i
$589$	−9.53900	−	5.50734i	−0.393048	−	0.226926i
$590$	7.12086	−	12.8441i	0.293161	−	0.528782i
$591$	9.03946	−	15.6568i	0.371834	−	0.644035i
$592$	−5.24788	−	9.63063i	−0.215687	−	0.395817i
$593$	17.7996	+	17.7996i	0.730942	+	0.730942i	0.970806	−	0.239865i	$-0.0771031\pi$
$593$	17.7996	+	17.7996i	0.730942	+	0.730942i	−0.239865	+	0.970806i	$0.577103\pi$
$594$	8.82772	+	26.5423i	0.362206	+	1.08904i
$595$	−38.6341	−	1.61993i	−1.58384	−	0.0664105i
$596$	−15.8288	−	21.1639i	−0.648373	−	0.866908i
$597$	4.72087	+	4.72087i	0.193212	+	0.193212i
$598$	−31.8385	−	27.7126i	−1.30197	−	1.13325i
$599$	−23.7215			−0.969235			−0.484618	−	0.874726i	$-0.661041\pi$
$599$	−23.7215			−0.969235			−0.484618	+	0.874726i	$0.661041\pi$
$600$	20.3549	−	7.56506i	0.830985	−	0.308842i
$601$	0.267316	+	0.463005i	0.0109041	+	0.0188864i	0.871426	−	0.490527i	$-0.163196\pi$
$601$	0.267316	+	0.463005i	0.0109041	+	0.0188864i	−0.860522	+	0.509413i	$0.829862\pi$
$602$	−2.69823	−	1.35137i	−0.109972	−	0.0550778i
$603$	−3.94540	+	3.94540i	−0.160669	+	0.160669i
$604$	6.33614	−	14.7786i	0.257814	−	0.601332i
$605$	−2.98746	+	1.56174i	−0.121458	+	0.0634938i
$606$	5.39161	+	4.78746i	0.219019	+	0.194477i
$607$	12.0243	+	44.8754i	0.488052	+	1.82143i	0.565906	+	0.824470i	$0.308527\pi$
$607$	12.0243	+	44.8754i	0.488052	+	1.82143i	−0.0778539	+	0.996965i	$0.524807\pi$
$608$	17.9563	−	19.2445i	0.728222	−	0.780467i
$609$	4.95173	+	8.57664i	0.200654	+	0.347543i
$610$	−8.31505	−	4.60993i	−0.336667	−	0.186651i
$611$	1.23380	−	4.79374i	0.0499141	−	0.193934i
$612$	4.89606	−	6.22029i	0.197912	−	0.251440i
$613$	7.81185	−	29.1542i	0.315517	−	1.17753i	−0.607989	−	0.793945i	$-0.708024\pi$
$613$	7.81185	−	29.1542i	0.315517	−	1.17753i	0.923507	−	0.383582i	$-0.125310\pi$
$614$	−4.48502	+	21.8429i	−0.181001	+	0.881506i
$615$	−12.4180	+	39.6233i	−0.500741	+	1.59777i
$616$	23.0457	+	16.0231i	0.928537	+	0.645591i
$617$	9.35317	+	34.9065i	0.376545	+	1.40528i	0.851075	+	0.525044i	$0.175951\pi$
$617$	9.35317	+	34.9065i	0.376545	+	1.40528i	−0.474530	+	0.880239i	$0.657382\pi$
$618$	−3.68470	−	1.84543i	−0.148220	−	0.0742339i
$619$		−	32.1530i		−	1.29234i	−0.763194	−	0.646169i	$-0.776370\pi$
$619$		−	32.1530i		−	1.29234i	0.763194	−	0.646169i	$-0.223630\pi$
$620$	8.73613	−	5.98003i	0.350851	−	0.240164i
$621$	23.1481	+	40.0937i	0.928902	+	1.60891i
$622$	−20.4872	+	13.5071i	−0.821463	+	0.541586i
$623$	−12.0056	−	12.0056i	−0.480995	−	0.480995i
$624$	−19.0127	−	11.3548i	−0.761116	−	0.454557i
$625$	−15.9369	+	19.2617i	−0.637478	+	0.770469i
$626$	−4.37411	−	0.898142i	−0.174825	−	0.0358970i
$627$	24.4063	+	6.53965i	0.974693	+	0.261168i
$628$	−5.37344	+	2.14850i	−0.214423	+	0.0857343i
$629$	−16.8979			−0.673763
$630$	−1.37910	+	5.52947i	−0.0549445	+	0.220299i
$631$	2.96013	−	5.12709i	0.117841	−	0.204106i	−0.801071	−	0.598569i	$-0.795736\pi$
$631$	2.96013	−	5.12709i	0.117841	−	0.204106i	0.918912	+	0.394463i	$0.129069\pi$
$632$	−37.8519	+	6.80381i	−1.50567	+	0.270641i
$633$	5.68520	+	21.2174i	0.225966	+	0.843318i
$634$	4.80954	+	0.987549i	0.191011	+	0.0392206i
$635$	8.60936	+	9.36294i	0.341652	+	0.371557i
$636$	31.1311	−	3.70848i	1.23443	−	0.147051i
$637$	−2.74350	−	1.54799i	−0.108702	−	0.0613335i
$638$	−0.681122	−	11.4759i	−0.0269659	−	0.454335i
$639$	0.370514	−	0.213916i	0.0146573	−	0.00846239i
$640$	9.22072	+	23.5580i	0.364481	+	0.931211i
$641$	17.3458	−	30.0439i	0.685119	−	1.18666i	−0.288280	−	0.957546i	$-0.593083\pi$
$641$	17.3458	−	30.0439i	0.685119	−	1.18666i	0.973399	−	0.229115i	$-0.0735832\pi$
$642$	29.4437	−	1.74756i	1.16205	−	0.0689705i
$643$	−7.61821	−	28.4315i	−0.300433	−	1.12123i	−0.936806	−	0.349849i	$-0.886233\pi$
$643$	−7.61821	−	28.4315i	−0.300433	−	1.12123i	0.636373	−	0.771381i	$-0.280434\pi$
$644$	42.6977	+	18.3061i	1.68252	+	0.721362i
$645$	1.39909	−	2.20454i	0.0550893	−	0.0868035i
$646$	−12.7981	−	38.4798i	−0.503533	−	1.51397i
$647$	−29.2400	−	7.83484i	−1.14954	−	0.308019i	−0.366761	−	0.930315i	$-0.619533\pi$
$647$	−29.2400	−	7.83484i	−1.14954	−	0.308019i	−0.782782	+	0.622296i	$0.786200\pi$
$648$	12.1576	+	14.3917i	0.477597	+	0.565360i
$649$			16.4244i			0.644712i
$650$	25.4924	+	0.373176i	0.999893	+	0.0146372i
$651$		−	10.1997i		−	0.399759i
$652$	22.9230	+	3.30598i	0.897734	+	0.129472i
$653$	−25.6874	−	6.88290i	−1.00522	−	0.269349i	−0.281591	−	0.959534i	$-0.590862\pi$
$653$	−25.6874	−	6.88290i	−1.00522	−	0.269349i	−0.723632	+	0.690186i	$0.757529\pi$
$654$	5.05245	−	1.68040i	0.197566	−	0.0657088i
$655$	−7.30288	+	11.5071i	−0.285347	+	0.449618i
$656$	−46.4036	−	13.6691i	−1.81176	−	0.533688i
$657$	−0.182170	−	0.679868i	−0.00710713	−	0.0265242i
$658$	0.322783	+	5.43840i	0.0125834	+	0.212011i
$659$	−18.5838	+	32.1882i	−0.723924	+	1.25387i	0.235492	+	0.971876i	$0.424330\pi$
$659$	−18.5838	+	32.1882i	−0.723924	+	1.25387i	−0.959416	+	0.281996i	$0.909003\pi$
$660$	−15.8070	+	18.4373i	−0.615287	+	0.717673i
$661$	−9.30708	+	5.37345i	−0.362004	+	0.209003i	−0.669959	−	0.742398i	$-0.733688\pi$
$661$	−9.30708	+	5.37345i	−0.362004	+	0.209003i	0.307956	+	0.951401i	$0.400355\pi$
$662$	6.61740	−	0.392759i	0.257192	−	0.0152650i
$663$	−29.3780	+	17.3510i	−1.14095	+	0.673859i
$664$	15.0463	−	21.6407i	0.583908	−	0.839821i
$665$	19.7604	+	21.4901i	0.766277	+	0.833349i
$666$	−0.500904	+	2.43949i	−0.0194096	+	0.0945285i
$667$	−4.92461	−	18.3789i	−0.190682	−	0.711634i
$668$	−22.3293	−	17.5756i	−0.863945	−	0.680021i
$669$	8.88889	−	15.3960i	0.343664	−	0.595244i
$670$	−26.6565	−	6.64837i	−1.02983	−	0.256849i
$671$	10.6329			0.410478
$672$	23.7470	+	5.48971i	0.916059	+	0.211770i
$673$	20.6699	+	5.53848i	0.796766	+	0.213493i	0.634164	−	0.773199i	$-0.281345\pi$
$673$	20.6699	+	5.53848i	0.796766	+	0.213493i	0.162602	+	0.986692i	$0.448011\pi$
$674$	−4.54470	+	22.1335i	−0.175055	+	0.852551i
$675$	−26.3098	−	9.47315i	−1.01266	−	0.364622i
$676$	−15.9810	−	20.5088i	−0.614652	−	0.788798i
$677$	3.25068	+	3.25068i	0.124934	+	0.124934i	0.766809	−	0.641875i	$-0.221843\pi$
$677$	3.25068	+	3.25068i	0.124934	+	0.124934i	−0.641875	+	0.766809i	$0.721843\pi$
$678$	23.9669	+	36.3523i	0.920442	+	1.39610i
$679$	3.13076	+	5.42264i	0.120148	+	0.208102i
$680$	38.6687	+	4.89255i	1.48288	+	0.187621i
$681$		−	18.6997i		−	0.716572i
$682$	−5.30209	+	10.5865i	−0.203027	+	0.405378i
$683$	7.65791	+	28.5797i	0.293022	+	1.09357i	0.942776	+	0.333428i	$0.108205\pi$
$683$	7.65791	+	28.5797i	0.293022	+	1.09357i	−0.649754	+	0.760145i	$0.725128\pi$
$684$	−5.93459	+	0.706955i	−0.226915	+	0.0270311i
$685$	7.51109	−	23.9665i	0.286984	−	0.915711i
$686$	−23.8142	−	4.88980i	−0.909231	−	0.186693i
$687$	−4.23074	+	15.7893i	−0.161413	+	0.602401i
$688$	2.59599	+	1.58543i	0.0989714	+	0.0604440i
$689$	35.6466	+	9.17460i	1.35803	+	0.349524i
$690$	−19.4898	+	35.1543i	−0.741964	+	1.33830i
$691$	13.1747	+	22.8192i	0.501189	+	0.868084i	0.999999	+	0.00137322i	$0.000437110\pi$
$691$	13.1747	+	22.8192i	0.501189	+	0.868084i	−0.498810	+	0.866711i	$0.666230\pi$
$692$	−20.8816	−	3.01157i	−0.793800	−	0.114483i
$693$	−1.64957	−	6.15627i	−0.0626619	−	0.233857i
$694$	14.9375	−	16.8225i	0.567020	−	0.638575i
$695$	11.9533	−	6.24877i	0.453414	−	0.237029i
$696$	−4.24880	−	9.03325i	−0.161050	−	0.342405i
$697$	−52.7017	+	52.7017i	−1.99622	+	1.99622i
$698$	11.4330	−	22.8279i	0.432746	−	0.864048i
$699$	20.7325	+	35.9097i	0.784174	+	1.35823i
$700$	−26.8352	+	8.19991i	−1.01428	+	0.309927i
$701$	45.2070			1.70745			0.853723	−	0.520728i	$-0.174339\pi$
$701$	45.2070			1.70745			0.853723	+	0.520728i	$0.174339\pi$
$702$	9.26699	+	26.9694i	0.349760	+	1.01789i
$703$	9.02112	+	9.02112i	0.340238	+	0.340238i
$704$	−21.7937	−	18.0422i	−0.821381	−	0.679989i
$705$	−4.70960	−	0.197473i	−0.177374	−	0.00743727i
$706$	−10.0836	+	3.35372i	−0.379502	+	0.126219i
$707$	−6.58819	−	6.58819i	−0.247774	−	0.247774i
$708$	5.29492	+	13.2427i	0.198995	+	0.497691i
$709$	−3.66703	+	6.35148i	−0.137718	+	0.238535i	−0.926633	−	0.375968i	$-0.877310\pi$
$709$	−3.66703	+	6.35148i	−0.137718	+	0.238535i	0.788914	+	0.614503i	$0.210643\pi$
$710$	1.84237	+	1.02142i	0.0691428	+	0.0383333i
$711$	7.56271	+	4.36633i	0.283624	+	0.163750i
$712$	11.0442	+	13.0737i	0.413898	+	0.489956i
$713$	−5.07194	+	18.9287i	−0.189946	+	0.708887i
$714$	24.9333	−	28.0798i	0.933107	−	1.05086i
$715$	−25.1367	+	13.4588i	−0.940059	+	0.503330i
$716$	4.18468	−	0.498498i	0.156389	−	0.0186298i
$717$	6.73508	+	1.80466i	0.251526	+	0.0673963i
$718$	−28.8345	+	19.0104i	−1.07609	+	0.709463i
$719$	7.10920	−	12.3135i	0.265128	−	0.459216i	−0.702469	−	0.711715i	$-0.747919\pi$
$719$	7.10920	−	12.3135i	0.265128	−	0.459216i	0.967597	+	0.252499i	$0.0812523\pi$
$720$	1.85258	−	5.43745i	0.0690416	−	0.202642i
$721$	4.61165	+	2.66254i	0.171747	+	0.0991582i
$722$	−1.67779	+	3.34999i	−0.0624410	+	0.124674i
$723$	−2.08452	+	2.08452i	−0.0775240	+	0.0775240i
$724$	−3.88689	+	9.06588i	−0.144455	+	0.336931i
$725$	9.43691	+	6.55931i	0.350478	+	0.243607i
$726$	0.658464	−	3.20684i	0.0244379	−	0.119017i
$727$	24.5147	−	24.5147i	0.909202	−	0.909202i	−0.0870062	−	0.996208i	$-0.527730\pi$
$727$	24.5147	−	24.5147i	0.909202	−	0.909202i	0.996208	+	0.0870062i	$0.0277300\pi$
$728$	23.6554	+	16.1024i	0.876727	+	0.596793i
$729$		−	30.0404i		−	1.11261i
$730$	2.40762	−	2.49278i	0.0891099	−	0.0922620i
$731$	4.05869	−	2.34328i	0.150116	−	0.0866695i
$732$	8.57313	−	3.42785i	0.316872	−	0.126697i
$733$	18.6115	+	18.6115i	0.687432	+	0.687432i	0.961664	−	0.274232i	$-0.0884236\pi$
$733$	18.6115	+	18.6115i	0.687432	+	0.687432i	−0.274232	+	0.961664i	$0.588424\pi$
$734$	−9.41446	−	28.3064i	−0.347494	−	1.04481i
$735$	−0.897100	+	2.86247i	−0.0330900	+	0.105584i
$736$	−41.3400	−	21.9963i	−1.52381	−	0.810794i
$737$	29.6782	−	7.95226i	1.09321	−	0.292925i
$738$	6.04614	+	9.17062i	0.222562	+	0.337575i
$739$	−20.1938	+	11.6589i	−0.742840	+	0.428879i	−0.823101	−	0.567895i	$-0.807758\pi$
$739$	−20.1938	+	11.6589i	−0.742840	+	0.428879i	0.0802613	+	0.996774i	$0.474425\pi$
$740$	−11.5665	+	4.07148i	−0.425194	+	0.149671i
$741$	24.9468	+	6.42073i	0.916444	+	0.235871i
$742$	−40.4403	+	2.40023i	−1.48461	+	0.0881153i
$743$	43.1437	+	11.5603i	1.58279	+	0.424107i	0.939787	−	0.341760i	$-0.111023\pi$
$743$	43.1437	+	11.5603i	1.58279	+	0.424107i	0.643000	+	0.765866i	$0.277690\pi$
$744$	−0.862102	+	10.2450i	−0.0316062	+	0.375601i
$745$	−26.1857	+	13.6890i	−0.959370	+	0.501525i
$746$	−26.1970	+	29.5029i	−0.959139	+	1.08018i
$747$	−5.78094	+	1.54900i	−0.211514	+	0.0566749i
$748$	−40.4754	+	16.1835i	−1.47993	+	0.591728i
$749$	−38.1136			−1.39264
$750$	−4.71306	−	23.8165i	−0.172097	−	0.869656i
$751$	27.1924	−	15.6996i	0.992266	−	0.572885i	0.0863154	−	0.996268i	$-0.472491\pi$
$751$	27.1924	−	15.6996i	0.992266	−	0.572885i	0.905951	+	0.423383i	$0.139157\pi$
$752$	0.135448	−	5.48983i	0.00493930	−	0.200193i
$753$	−9.31210	+	9.31210i	−0.339352	+	0.339352i
$754$	−0.810075	−	11.6922i	−0.0295012	−	0.425804i
$755$	−15.1788	−	9.63310i	−0.552412	−	0.350585i
$756$	−18.7981	−	25.1340i	−0.683680	−	0.914115i
$757$	11.0007	−	41.0551i	0.399827	−	1.49217i	−0.413574	−	0.910471i	$-0.635720\pi$
$757$	11.0007	−	41.0551i	0.399827	−	1.49217i	0.813401	−	0.581704i	$-0.197614\pi$
$758$	−35.9727	−	18.0164i	−1.30659	−	0.654385i
$759$		−	44.9535i		−	1.63171i
$760$	−18.0318	−	23.2557i	−0.654082	−	0.843572i
$761$	−32.0923	−	18.5285i	−1.16334	−	0.671657i	−0.211241	−	0.977434i	$-0.567751\pi$
$761$	−32.0923	−	18.5285i	−1.16334	−	0.671657i	−0.952103	+	0.305777i	$0.901084\pi$
$762$	−12.3307	+	0.731855i	−0.446693	+	0.0265123i
$763$	−6.64587	+	1.78076i	−0.240597	+	0.0644677i
$764$	12.5372	−	9.37674i	0.453580	−	0.339239i
$765$	−5.99050	−	6.51485i	−0.216587	−	0.235545i
$766$	−32.9410	+	37.0980i	−1.19021	+	1.34040i
$767$	0.165603	+	16.7437i	0.00597957	+	0.604581i
$768$	−23.3884	−	7.52122i	−0.843956	−	0.271399i
$769$	−4.01194	−	6.94889i	−0.144674	−	0.250583i	0.784577	−	0.620031i	$-0.212880\pi$
$769$	−4.01194	−	6.94889i	−0.144674	−	0.250583i	−0.929251	+	0.369448i	$0.879547\pi$
$770$	21.8012	−	22.5724i	0.785661	−	0.813453i
$771$	−9.76050	−	5.63523i	−0.351516	−	0.202948i
$772$	0.691700	+	0.544445i	0.0248948	+	0.0195950i
$773$	24.2233	−	6.49062i	0.871252	−	0.233451i	0.204623	−	0.978841i	$-0.434403\pi$
$773$	24.2233	−	6.49062i	0.871252	−	0.233451i	0.666629	+	0.745389i	$0.267736\pi$
$774$	−0.217981	−	0.655402i	−0.00783515	−	0.0235579i
$775$	−5.03933	−	10.7101i	−0.181018	−	0.384718i
$776$	−2.68633	−	5.71133i	−0.0964336	−	0.205025i
$777$	−3.05765	+	11.4113i	−0.109693	+	0.409379i
$778$	8.30912	−	5.47816i	0.297897	−	0.196402i
$779$	56.2708			2.01611
$780$	−15.9285	+	18.9552i	−0.570331	+	0.678706i
$781$	−2.35593			−0.0843017
$782$	−60.2345	+	39.7123i	−2.15398	+	1.42011i
$783$	−3.32708	+	12.4168i	−0.118900	+	0.443741i
$784$	−3.35230	−	0.987484i	−0.119725	−	0.0352673i
$785$	1.41130	+	6.31431i	0.0503715	+	0.225368i
$786$	−4.17701	−	12.5590i	−0.148989	−	0.447965i
$787$	37.3068	−	9.99632i	1.32984	−	0.356330i	0.477186	−	0.878802i	$-0.341657\pi$
$787$	37.3068	−	9.99632i	1.32984	−	0.356330i	0.852656	+	0.522472i	$0.174990\pi$
$788$	14.5644	−	18.5036i	0.518835	−	0.659164i
$789$	26.6417	+	15.3816i	0.948471	+	0.547600i
$790$	0.747163	+	42.9915i	0.0265829	+	1.52957i
$791$	−28.1321	−	48.7262i	−1.00026	−	1.73250i
$792$	1.13655	+	6.32303i	0.0403856	+	0.224679i
$793$	10.8396	−	0.107209i	0.384927	−	0.00380709i
$794$	−9.87230	+	11.1181i	−0.350355	+	0.394568i
$795$	1.46842	−	35.0209i	0.0520796	−	1.24206i
$796$	5.20828	+	6.96374i	0.184602	+	0.246823i
$797$	−18.5341	+	4.96619i	−0.656511	+	0.175912i	−0.571671	−	0.820483i	$-0.693705\pi$
$797$	−18.5341	+	4.96619i	−0.656511	+	0.175912i	−0.0848400	+	0.996395i	$0.527038\pi$
$798$	−28.3016	+	1.67977i	−1.00187	+	0.0594633i
$799$	−7.32724	−	4.23038i	−0.259219	−	0.149660i
$800$	27.6474	−	5.96815i	0.977485	−	0.211006i
$801$		−	3.88606i		−	0.137307i
$802$	−30.6241	−	15.3376i	−1.08137	−	0.541590i
$803$	−1.00315	+	3.74380i	−0.0354003	+	0.132116i
$804$	21.3655	−	15.9795i	0.753502	−	0.563554i
$805$	27.8316	−	43.8538i	0.980934	−	1.54564i
$806$	−5.29845	+	10.8458i	−0.186630	+	0.382027i
$807$	−8.00079	+	8.00079i	−0.281641	+	0.281641i
$808$	6.06060	+	7.17429i	0.213211	+	0.252391i
$809$	−26.8347	+	15.4930i	−0.943457	+	0.544705i	−0.891042	−	0.453920i	$-0.850025\pi$
$809$	−26.8347	+	15.4930i	−0.943457	+	0.544705i	−0.0524147	+	0.998625i	$0.516692\pi$
$810$	18.0556	−	10.8470i	0.634409	−	0.381126i
$811$	−8.42198			−0.295736			−0.147868	−	0.989007i	$-0.547241\pi$
$811$	−8.42198			−0.295736			−0.147868	+	0.989007i	$0.547241\pi$
$812$	4.78900	+	11.9774i	0.168061	+	0.420324i
$813$	−16.5986	+	4.44758i	−0.582138	+	0.155984i
$814$	9.10549	−	10.2546i	0.319147	−	0.359422i
$815$	7.74375	−	24.7088i	0.271252	−	0.865512i
$816$	−27.4174	+	26.0971i	−0.959801	+	0.913580i
$817$	−3.41776	−	0.915786i	−0.119572	−	0.0320393i
$818$	−33.0963	+	1.96435i	−1.15719	+	0.0686818i
$819$	−1.74372	−	6.25935i	−0.0609304	−	0.218719i
$820$	−23.3759	+	48.7724i	−0.816320	+	1.70321i
$821$	7.05465	−	4.07300i	0.246209	−	0.142149i	−0.371818	−	0.928306i	$-0.621266\pi$
$821$	7.05465	−	4.07300i	0.246209	−	0.142149i	0.618027	+	0.786157i	$0.287932\pi$
$822$	13.4255	+	20.3635i	0.468270	+	0.710258i
$823$	15.2930	−	4.09774i	0.533080	−	0.142838i	0.0177699	−	0.999842i	$-0.494343\pi$
$823$	15.2930	−	4.09774i	0.533080	−	0.142838i	0.515310	+	0.857004i	$0.327677\pi$
$824$	−4.40709	−	3.06415i	−0.153528	−	0.106745i
$825$	17.5249	+	20.7394i	0.610139	+	0.722054i
$826$	−5.81613	−	17.4873i	−0.202369	−	0.608462i
$827$	−20.4293	−	20.4293i	−0.710398	−	0.710398i	0.256221	−	0.966618i	$-0.417523\pi$
$827$	−20.4293	−	20.4293i	−0.710398	−	0.710398i	−0.966618	+	0.256221i	$0.917523\pi$
$828$	3.94760	+	9.87305i	0.137189	+	0.343112i
$829$	−41.3803	+	23.8909i	−1.43720	+	0.829766i	−0.997654	−	0.0684564i	$-0.978193\pi$
$829$	−41.3803	+	23.8909i	−1.43720	+	0.829766i	−0.439542	+	0.898222i	$0.644859\pi$
$830$	−21.1962	−	20.4721i	−0.735732	−	0.710596i
$831$		−	2.58416i		−	0.0896434i
$832$	−22.3994	−	18.1732i	−0.776559	−	0.630044i
$833$	−3.80728	+	3.80728i	−0.131915	+	0.131915i
$834$	−2.63462	+	12.8311i	−0.0912293	+	0.444303i
$835$	−23.3866	+	21.5044i	−0.809328	+	0.744189i
$836$	30.2480	+	12.9685i	1.04615	+	0.448524i
$837$	9.36168	−	9.36168i	0.323587	−	0.323587i
$838$	−14.5452	+	29.0419i	−0.502456	+	1.00324i
$839$	21.3554	+	12.3296i	0.737271	+	0.425664i	0.821076	−	0.570819i	$-0.193374\pi$
$839$	21.3554	+	12.3296i	0.737271	+	0.425664i	−0.0838053	+	0.996482i	$0.526707\pi$
$840$	10.3011	−	25.2281i	0.355420	−	0.870452i
$841$	−11.8584	+	20.5394i	−0.408910	+	0.708254i
$842$	7.99252	−	5.26943i	0.275440	−	0.181596i
$843$	−36.0840	−	9.66869i	−1.24280	−	0.333007i
$844$	3.38432	+	28.4099i	0.116493	+	0.977910i
$845$	−25.4898	+	13.9739i	−0.876875	+	0.480718i
$846$	−0.827928	+	0.932409i	−0.0284648	+	0.0320569i
$847$	−1.09488	+	4.08613i	−0.0376204	+	0.140401i
$848$	40.8227	+	1.00720i	1.40186	+	0.0345875i
$849$	39.0705	+	22.5574i	1.34090	+	0.774167i
$850$	12.3077	−	41.8035i	0.422150	−	1.43385i
$851$	11.3488	−	19.6567i	0.389033	−	0.673824i
$852$	−1.89955	+	0.759508i	−0.0650774	+	0.0260203i
$853$	−1.88670	−	1.88670i	−0.0645994	−	0.0645994i	0.674069	−	0.738668i	$-0.264545\pi$
$853$	−1.88670	−	1.88670i	−0.0645994	−	0.0645994i	−0.738668	+	0.674069i	$0.764545\pi$
$854$	−11.3210	+	3.76527i	−0.387397	+	0.128845i
$855$	−0.279929	+	6.67612i	−0.00957337	+	0.228318i
$856$	38.2828	+	3.22143i	1.30848	+	0.110106i
$857$	−17.6801	−	17.6801i	−0.603941	−	0.603941i	0.337415	−	0.941356i	$-0.390447\pi$
$857$	−17.6801	−	17.6801i	−0.603941	−	0.603941i	−0.941356	+	0.337415i	$0.890447\pi$
$858$	5.30090	−	27.1779i	0.180970	−	0.927837i
$859$	−16.1918			−0.552458			−0.276229	−	0.961092i	$-0.589085\pi$
$859$	−16.1918			−0.552458			−0.276229	+	0.961092i	$0.589085\pi$
$860$	2.21355	−	2.58189i	0.0754814	−	0.0880418i
$861$	26.0537	+	45.1264i	0.887908	+	1.53790i
$862$	22.2458	−	44.4174i	0.757695	−	1.51286i
$863$	−2.71648	+	2.71648i	−0.0924701	+	0.0924701i	−0.751829	−	0.659359i	$-0.770828\pi$
$863$	−2.71648	+	2.71648i	−0.0924701	+	0.0924701i	0.659359	+	0.751829i	$0.270828\pi$
$864$	16.7572	+	26.8345i	0.570090	+	0.912927i
$865$	−7.05414	+	22.5084i	−0.239848	+	0.765309i
$866$	−27.5311	+	31.0053i	−0.935543	+	1.05360i
$867$	8.33788	+	31.1174i	0.283169	+	1.05680i
$868$	1.89639	−	13.1492i	0.0643677	−	0.446313i
$869$	−24.0439	−	41.6452i	−0.815633	−	1.41272i
$870$	−10.7287	+	3.07554i	−0.363738	+	0.104271i
$871$	30.1752	−	8.40613i	1.02245	−	0.284831i
$872$	6.82589	−	1.22694i	0.231154	−	0.0415494i
$873$	−0.370925	+	1.38431i	−0.0125539	+	0.0468518i
$874$	53.3577	+	10.9560i	1.80485	+	0.370592i
$875$	4.25606	+	31.0821i	0.143881	+	1.05077i
$876$	0.398110	+	3.34197i	0.0134509	+	0.112915i
$877$	5.99977	+	22.3915i	0.202598	+	0.756106i	0.990168	+	0.139881i	$0.0446721\pi$
$877$	5.99977	+	22.3915i	0.202598	+	0.756106i	−0.787570	+	0.616225i	$0.788661\pi$
$878$	−11.3828	+	22.7277i	−0.384152	+	0.767022i
$879$			0.802974i			0.0270836i
$880$	−23.8059	+	20.8299i	−0.802496	+	0.702177i
$881$	−22.4080	−	38.8118i	−0.754946	−	1.30760i	−0.945401	−	0.325908i	$-0.894330\pi$
$881$	−22.4080	−	38.8118i	−0.754946	−	1.30760i	0.190456	−	0.981696i	$-0.439003\pi$
$882$	0.436786	+	0.662505i	0.0147074	+	0.0223077i
$883$	−4.57265	−	4.57265i	−0.153882	−	0.153882i	0.625967	−	0.779849i	$-0.284704\pi$
$883$	−4.57265	−	4.57265i	−0.153882	−	0.153882i	−0.779849	+	0.625967i	$0.784704\pi$
$884$	−41.0992	+	16.9063i	−1.38232	+	0.568621i
$885$	15.5615	−	3.47812i	0.523093	−	0.116916i
$886$	9.49691	−	46.2517i	0.319055	−	1.55385i
$887$	16.3449	+	4.37960i	0.548808	+	0.147053i	0.522560	−	0.852603i	$-0.324977\pi$
$887$	16.3449	+	4.37960i	0.548808	+	0.147053i	0.0262485	+	0.999655i	$0.491644\pi$
$888$	4.03574	−	11.2035i	0.135430	−	0.375966i
$889$	15.9615			0.535332
$890$	16.4020	−	9.85361i	0.549795	−	0.330294i
$891$	−11.7783	+	20.4006i	−0.394588	+	0.683447i
$892$	14.3218	−	18.1954i	0.479529	−	0.609227i
$893$	1.65329	+	6.17016i	0.0553252	+	0.206477i
$894$	5.77157	−	28.1086i	0.193030	−	0.940092i
$895$	0.197387	−	4.70756i	0.00659793	−	0.157356i
$896$	29.5932	+	11.4923i	0.988639	+	0.383932i
$897$	−0.453255	−	45.8276i	−0.0151338	−	1.53014i
$898$	20.4350	−	1.21287i	0.681923	−	0.0404739i
$899$	−4.71226	+	2.72062i	−0.157163	+	0.0907379i
$900$	−5.67020	−	3.01600i	−0.189007	−	0.100533i
$901$	31.4574	−	54.4858i	1.04800	−	1.81519i
$902$	−3.58375	−	60.3808i	−0.119326	−	2.01046i
$903$	−0.848029	−	3.16489i	−0.0282206	−	0.105321i
$904$	24.1385	+	51.3203i	0.802836	+	1.70689i
$905$	9.31137	+	5.90940i	0.309520	+	0.196435i
$906$	16.5664	−	5.50983i	0.550381	−	0.183052i
$907$	32.6106	+	8.73798i	1.08282	+	0.290140i	0.755749	−	0.654861i	$-0.227273\pi$
$907$	32.6106	+	8.73798i	1.08282	+	0.290140i	0.327067	+	0.945001i	$0.393940\pi$
$908$	3.47674	−	24.1070i	0.115380	−	0.800020i
$909$		−	2.13251i		−	0.0707309i
$910$	21.9976	−	23.2311i	0.729212	−	0.770105i
$911$			20.9785i			0.695048i	0.937671	+	0.347524i	$0.112977\pi$
$911$			20.9785i			0.695048i	−0.937671	+	0.347524i	$0.887023\pi$
$912$	28.5693	+	0.704879i	0.946023	+	0.0233409i
$913$	31.8337	+	8.52980i	1.05354	+	0.282295i
$914$	−2.25534	−	6.78112i	−0.0746000	−	0.224300i
$915$	−2.25168	−	10.0743i	−0.0744382	−	0.333045i
$916$	−8.38978	+	19.5685i	−0.277206	+	0.646563i
$917$	4.42647	+	16.5198i	0.146175	+	0.545533i
$918$	48.6574	−	2.88793i	1.60593	−	0.0953161i
$919$	7.28622	−	12.6201i	0.240350	−	0.416299i	−0.720464	−	0.693492i	$-0.756071\pi$
$919$	7.28622	−	12.6201i	0.240350	−	0.416299i	0.960814	+	0.277194i	$0.0894044\pi$
$920$	−31.6617	+	41.6962i	−1.04386	+	1.37468i
$921$	−20.9673	+	12.1055i	−0.690896	+	0.398889i
$922$	0.591752	+	9.97013i	0.0194883	+	0.328349i
$923$	−2.40174	+	0.0237542i	−0.0790542	+	0.000781880i
$924$	3.60493	+	30.2618i	0.118593	+	0.995541i
$925$	2.42728	+	13.4930i	0.0798086	+	0.443646i
$926$	9.53821	+	1.95849i	0.313445	+	0.0643600i
$927$	0.315451	+	1.17728i	0.0103608	+	0.0386669i
$928$	−3.79791	−	12.4354i	−0.124672	−	0.408210i
$929$	−0.785255	+	1.36010i	−0.0257634	+	0.0446235i	−0.878620	−	0.477522i	$-0.841535\pi$
$929$	−0.785255	+	1.36010i	−0.0257634	+	0.0446235i	0.852856	+	0.522146i	$0.174868\pi$
$930$	11.1531	+	2.78168i	0.365725	+	0.0912149i
$931$	4.06512			0.133229
$932$	20.0511	+	50.1484i	0.656797	+	1.64266i
$933$	−25.7358	−	6.89588i	−0.842552	−	0.225761i
$934$	−10.3289	−	2.12085i	−0.337972	−	0.0693963i
$935$	10.6306	+	47.5625i	0.347658	+	1.55546i
$936$	1.22241	+	6.43452i	0.0399556	+	0.210319i
$937$	0.987664	+	0.987664i	0.0322656	+	0.0322656i	0.723056	−	0.690790i	$-0.242737\pi$
$937$	0.987664	+	0.987664i	0.0322656	+	0.0322656i	−0.690790	+	0.723056i	$0.742737\pi$
$938$	−28.7830	+	18.9765i	−0.939798	+	0.619604i
$939$	−2.42416	−	4.19877i	−0.0791096	−	0.137022i
$940$	−6.03476	−	1.13021i	−0.196832	−	0.0368634i
$941$			27.3404i			0.891271i	0.895214	+	0.445636i	$0.147022\pi$
$941$			27.3404i			0.891271i	−0.895214	+	0.445636i	$0.852978\pi$
$942$	−5.61812	−	2.81375i	−0.183048	−	0.0916771i
$943$	−25.9110	−	96.7013i	−0.843779	−	3.14903i
$944$	4.36389	+	18.0566i	0.142032	+	0.587691i
$945$	−31.0978	+	16.2568i	−1.01161	+	0.528835i
$946$	−0.765007	+	3.72572i	−0.0248725	+	0.121134i
$947$	6.31970	−	23.5854i	0.205363	−	0.766423i	−0.783976	−	0.620791i	$-0.786812\pi$
$947$	6.31970	−	23.5854i	0.205363	−	0.766423i	0.989339	−	0.145633i	$-0.0465217\pi$
$948$	−32.8119	−	25.8266i	−1.06568	−	0.838809i
$949$	−0.984906	+	3.82671i	−0.0319714	+	0.124220i
$950$	−28.8878	+	15.7467i	−0.937245	+	0.510889i
$951$	2.66548	+	4.61675i	0.0864342	+	0.149708i
$952$	37.3641	−	31.5639i	1.21098	−	1.02299i
$953$	−0.326190	−	1.21736i	−0.0105663	−	0.0394340i	0.960441	−	0.278482i	$-0.0898313\pi$
$953$	−0.326190	−	1.21736i	−0.0105663	−	0.0394340i	−0.971008	+	0.239048i	$0.923165\pi$
$954$	−6.93345	−	6.15653i	−0.224479	−	0.199325i
$955$	−8.10914	−	15.5120i	−0.262406	−	0.501957i
$956$	8.34713	+	3.57874i	0.269966	+	0.115745i
$957$	8.82611	−	8.82611i	0.285308	−	0.285308i
$958$	17.7538	+	8.89173i	0.573599	+	0.287279i
$959$	−15.7588	−	27.2950i	−0.508877	−	0.881401i
$960$	−12.4791	+	24.4695i	−0.402762	+	0.789748i
$961$	−25.3960			−0.819225
$962$	9.17916	−	10.5458i	0.295948	−	0.340009i
$963$	−6.16843	−	6.16843i	−0.198775	−	0.198775i
$964$	−3.07486	+	2.29973i	−0.0990346	+	0.0740694i
$965$	0.724455	−	0.666147i	0.0233210	−	0.0214440i
$966$	15.9188	+	47.8629i	0.512178	+	1.53996i
$967$	30.7462	+	30.7462i	0.988730	+	0.988730i	0.999937	−	0.0112071i	$-0.00356739\pi$
$967$	30.7462	+	30.7462i	0.988730	+	0.988730i	−0.0112071	+	0.999937i	$0.503567\pi$
$968$	1.44510	−	4.01173i	0.0464474	−	0.128942i
$969$	22.0151	−	38.1312i	0.707226	−	1.22495i
$970$	−6.78332	+	1.94453i	−0.217799	+	0.0624351i
$971$	31.9299	+	18.4348i	1.02468	+	0.591599i	0.915456	−	0.402418i	$-0.131830\pi$
$971$	31.9299	+	18.4348i	1.02468	+	0.591599i	0.109224	+	0.994017i	$0.465163\pi$
$972$	1.87004	−	12.9665i	0.0599816	−	0.415900i
$973$	4.38077	−	16.3492i	0.140441	−	0.524133i
$974$	1.51292	+	1.34339i	0.0484771	+	0.0430450i
$975$	18.0748	+	20.9660i	0.578857	+	0.671449i
$976$	11.6895	−	2.82511i	0.374173	−	0.0904297i
$977$	40.7730	+	10.9251i	1.30444	+	0.349525i	0.843129	−	0.537712i	$-0.180711\pi$
$977$	40.7730	+	10.9251i	1.30444	+	0.349525i	0.461315	+	0.887236i	$0.347378\pi$
$978$	13.8414	+	20.9942i	0.442599	+	0.671322i
$979$	−10.6996	+	18.5322i	−0.341961	+	0.592293i
$980$	−1.68872	+	3.52342i	−0.0539442	+	0.112552i
$981$	−1.36379	−	0.787386i	−0.0435426	−	0.0251393i
$982$	5.89004	+	2.94994i	0.187959	+	0.0941364i
$983$	−31.0048	+	31.0048i	−0.988901	+	0.988901i	−0.999939	−	0.0110383i	$-0.996486\pi$
$983$	−31.0048	+	31.0048i	−0.988901	+	0.988901i	0.0110383	+	0.999939i	$0.496486\pi$
$984$	−22.3552	−	47.5288i	−0.712658	−	1.51516i
$985$	−17.8201	−	19.3798i	−0.567794	−	0.617493i
$986$	−19.6234	−	4.02930i	−0.624937	−	0.128319i
$987$	−4.18268	+	4.18268i	−0.133136	+	0.133136i
$988$	30.9669	+	12.9157i	0.985188	+	0.410902i
$989$			6.29511i			0.200173i
$990$	7.18157	−	0.124811i	0.228245	−	0.00396675i
$991$	−10.5380	+	6.08414i	−0.334752	+	0.193269i	−0.657949	−	0.753063i	$-0.728576\pi$
$991$	−10.5380	+	6.08414i	−0.334752	+	0.193269i	0.323197	+	0.946332i	$0.395242\pi$
$992$	−3.01621	+	13.0473i	−0.0957646	+	0.414252i
$993$	5.08945	+	5.08945i	0.161509	+	0.161509i
$994$	2.50840	−	0.834271i	0.0795616	−	0.0264615i
$995$	8.61609	−	4.50419i	0.273148	−	0.142792i
$996$	28.4169	−	3.38515i	0.900423	−	0.107262i
$997$	22.4995	−	6.02873i	0.712567	−	0.190932i	0.115714	−	0.993283i	$-0.463084\pi$
$997$	22.4995	−	6.02873i	0.712567	−	0.190932i	0.596853	+	0.802351i	$0.296418\pi$
$998$	29.4639	−	19.4254i	0.932664	−	0.614901i
$999$	−13.2801	+	7.66729i	−0.420165	+	0.242582i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bg.c.127.27	yes	144
4.3	odd	2	inner	260.2.bg.c.127.33	yes	144
5.3	odd	4	inner	260.2.bg.c.23.30	yes	144
13.4	even	6	inner	260.2.bg.c.147.13	yes	144
20.3	even	4	inner	260.2.bg.c.23.13	✓	144
52.43	odd	6	inner	260.2.bg.c.147.30	yes	144
65.43	odd	12	inner	260.2.bg.c.43.33	yes	144
260.43	even	12	inner	260.2.bg.c.43.27	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bg.c.23.13	✓	144	20.3	even	4	inner
260.2.bg.c.23.30	yes	144	5.3	odd	4	inner
260.2.bg.c.43.27	yes	144	260.43	even	12	inner
260.2.bg.c.43.33	yes	144	65.43	odd	12	inner
260.2.bg.c.127.27	yes	144	1.1	even	1	trivial
260.2.bg.c.127.33	yes	144	4.3	odd	2	inner
260.2.bg.c.147.13	yes	144	13.4	even	6	inner
260.2.bg.c.147.30	yes	144	52.43	odd	6	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.778429 + 1.18070i) q^{2} +(-0.397416 + 1.48318i) q^{3} +(-0.788098 + 1.83818i) q^{4} +(1.88795 + 1.19818i) q^{5} +(-2.06055 + 0.685319i) q^{6} +(2.71040 - 0.726248i) q^{7} +(-2.78381 + 0.500385i) q^{8} +(0.556198 + 0.321121i) q^{9} +O(q^{10})\)	\(q+(0.778429 + 1.18070i) q^{2} +(-0.397416 + 1.48318i) q^{3} +(-0.788098 + 1.83818i) q^{4} +(1.88795 + 1.19818i) q^{5} +(-2.06055 + 0.685319i) q^{6} +(2.71040 - 0.726248i) q^{7} +(-2.78381 + 0.500385i) q^{8} +(0.556198 + 0.321121i) q^{9} +(0.0549500 + 3.16180i) q^{10} +(-1.76830 - 3.06279i) q^{11} +(-2.41314 - 1.89941i) q^{12} +(-1.83357 - 3.10452i) q^{13} +(2.96733 + 2.63483i) q^{14} +(-2.52742 + 2.32400i) q^{15} +(-2.75780 - 2.89733i) q^{16} +(-5.95282 + 1.59505i) q^{17} +(0.0538132 + 0.906671i) q^{18} +(4.02951 + 2.32644i) q^{19} +(-3.69036 + 2.52611i) q^{20} +4.30862i q^{21} +(2.23973 - 4.47200i) q^{22} +(2.14251 - 7.99597i) q^{23} +(0.364173 - 4.32775i) q^{24} +(2.12874 + 4.52421i) q^{25} +(2.23820 - 4.58154i) q^{26} +(-3.95461 + 3.95461i) q^{27} +(-0.801083 + 5.55455i) q^{28} +(1.99058 - 1.14926i) q^{29} +(-4.71135 - 1.17505i) q^{30} -2.36728 q^{31} +(1.27412 - 5.51150i) q^{32} +(5.24542 - 1.40551i) q^{33} +(-6.51712 - 5.78685i) q^{34} +(5.98728 + 1.87641i) q^{35} +(-1.02862 + 0.769316i) q^{36} +(2.64848 + 0.709659i) q^{37} +(0.389863 + 6.56861i) q^{38} +(5.33324 - 1.48572i) q^{39} +(-5.85526 - 2.39080i) q^{40} +(10.4735 - 6.04688i) q^{41} +(-5.08718 + 3.35395i) q^{42} +(-0.734548 + 0.196821i) q^{43} +(7.02355 - 0.836678i) q^{44} +(0.665315 + 1.27269i) q^{45} +(11.1086 - 3.69463i) q^{46} +(0.970769 + 0.970769i) q^{47} +(5.39325 - 2.93887i) q^{48} +(0.756628 - 0.436839i) q^{49} +(-3.68466 + 6.03517i) q^{50} -9.46299i q^{51} +(7.15169 - 0.923764i) q^{52} +(-7.21870 + 7.21870i) q^{53} +(-7.74758 - 1.59082i) q^{54} +(0.331294 - 7.90115i) q^{55} +(-7.18183 + 3.37798i) q^{56} +(-5.05192 + 5.05192i) q^{57} +(2.90645 + 1.45565i) q^{58} +(-4.02191 - 2.32205i) q^{59} +(-2.28007 - 6.47738i) q^{60} +(-1.50326 + 2.60372i) q^{61} +(-1.84276 - 2.79505i) q^{62} +(1.74073 + 0.466427i) q^{63} +(7.49923 - 2.78596i) q^{64} +(0.258071 - 8.05813i) q^{65} +(5.74266 + 5.09917i) q^{66} +(-2.24856 + 8.39173i) q^{67} +(1.75941 - 12.1994i) q^{68} +(11.0080 + 6.35546i) q^{69} +(2.44519 + 8.52982i) q^{70} +(0.333077 - 0.576907i) q^{71} +(-1.70903 - 0.615628i) q^{72} +(-0.774938 - 0.774938i) q^{73} +(1.22376 + 3.67948i) q^{74} +(-7.55621 + 1.35930i) q^{75} +(-7.45206 + 5.57350i) q^{76} +(-7.01714 - 7.01714i) q^{77} +(5.90574 + 5.14042i) q^{78} +13.5972 q^{79} +(-1.73509 - 8.77436i) q^{80} +(-3.33040 - 5.76842i) q^{81} +(15.2924 + 7.65898i) q^{82} +(-6.58933 + 6.58933i) q^{83} +(-7.92002 - 3.39562i) q^{84} +(-13.1498 - 4.12115i) q^{85} +(-0.804180 - 0.714068i) q^{86} +(0.913469 + 3.40911i) q^{87} +(6.45520 + 7.64140i) q^{88} +(-3.02539 - 5.24012i) q^{89} +(-0.984757 + 1.77623i) q^{90} +(-7.22435 - 7.08284i) q^{91} +(13.0095 + 10.2399i) q^{92} +(0.940798 - 3.51111i) q^{93} +(-0.390511 + 1.90186i) q^{94} +(4.82004 + 9.22028i) q^{95} +(7.66818 + 4.08011i) q^{96} +(0.577547 + 2.15544i) q^{97} +(1.10476 + 0.553301i) q^{98} -2.27136i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) \) 144 * q - 6 * q^2 - 12 * q^6	\( 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Introduction

L-functions

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