LMFDB - Embedded newform 260.2.bj.c.3.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(3,260)]

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, 4]))

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

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

chi := DirichletCharacter("260.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bj (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			3.8
Character	$\chi$	$=$	260.3
Dual form			260.2.bj.c.87.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14919 - 0.824240i) q^{2} +(-0.160249 - 0.0429387i) q^{3} +(0.641258 + 1.89441i) q^{4} +(1.36197 - 1.77343i) q^{5} +(0.148765 + 0.181428i) q^{6} +(-3.90057 + 1.04516i) q^{7} +(0.824524 - 2.70558i) q^{8} +(-2.57424 - 1.48624i) q^{9} +O(q^{10})$	\(q+(-1.14919 - 0.824240i) q^{2} +(-0.160249 - 0.0429387i) q^{3} +(0.641258 + 1.89441i) q^{4} +(1.36197 - 1.77343i) q^{5} +(0.148765 + 0.181428i) q^{6} +(-3.90057 + 1.04516i) q^{7} +(0.824524 - 2.70558i) q^{8} +(-2.57424 - 1.48624i) q^{9} +(-3.02688 + 0.915413i) q^{10} +(3.79415 - 2.19056i) q^{11} +(-0.0214176 - 0.331113i) q^{12} +(1.96692 - 3.02179i) q^{13} +(5.34394 + 2.01393i) q^{14} +(-0.294403 + 0.225710i) q^{15} +(-3.17758 + 2.42961i) q^{16} +(-0.687689 - 2.56649i) q^{17} +(1.73326 + 3.82976i) q^{18} +(0.524542 - 0.908533i) q^{19} +(4.23297 + 1.44290i) q^{20} +0.669942 q^{21} +(-6.16573 - 0.609936i) q^{22} +(-8.42487 - 2.25744i) q^{23} +(-0.248303 + 0.398163i) q^{24} +(-1.29010 - 4.83070i) q^{25} +(-4.75104 + 1.85139i) q^{26} +(0.700635 + 0.700635i) q^{27} +(-4.48123 - 6.71907i) q^{28} +(1.52345 - 0.879564i) q^{29} +(0.524362 - 0.0167239i) q^{30} -1.31797i q^{31} +(5.65421 - 0.172987i) q^{32} +(-0.702070 + 0.188119i) q^{33} +(-1.32512 + 3.51620i) q^{34} +(-3.45894 + 8.34086i) q^{35} +(1.16479 - 5.82973i) q^{36} +(-0.947290 - 0.253826i) q^{37} +(-1.35165 + 0.611725i) q^{38} +(-0.444949 + 0.399784i) q^{39} +(-3.67518 - 5.14714i) q^{40} +(2.77769 + 4.81110i) q^{41} +(-0.769888 - 0.552193i) q^{42} +(-0.723117 - 2.69871i) q^{43} +(6.58284 + 5.78297i) q^{44} +(-6.14176 + 2.54102i) q^{45} +(7.82108 + 9.53833i) q^{46} +(6.21765 + 6.21765i) q^{47} +(0.613529 - 0.252902i) q^{48} +(8.05995 - 4.65341i) q^{49} +(-2.49909 + 6.61472i) q^{50} +0.440807i q^{51} +(6.98582 + 1.78840i) q^{52} +(6.43932 + 6.43932i) q^{53} +(-0.227669 - 1.38265i) q^{54} +(1.28271 - 9.71212i) q^{55} +(-0.388364 + 11.4151i) q^{56} +(-0.123069 + 0.123069i) q^{57} +(-2.47570 - 0.244905i) q^{58} +(1.16504 - 2.01791i) q^{59} +(-0.616375 - 0.412981i) q^{60} +(-2.21047 + 3.82864i) q^{61} +(-1.08632 + 1.51459i) q^{62} +(11.5944 + 3.10670i) q^{63} +(-6.64032 - 4.46163i) q^{64} +(-2.68006 - 7.60377i) q^{65} +(0.961864 + 0.362490i) q^{66} +(2.26133 - 8.43941i) q^{67} +(4.42100 - 2.94855i) q^{68} +(1.25315 + 0.723506i) q^{69} +(10.8498 - 6.73420i) q^{70} +(3.62470 + 2.09272i) q^{71} +(-6.14366 + 5.73937i) q^{72} +(2.27279 + 2.27279i) q^{73} +(0.879400 + 1.07249i) q^{74} +(-0.000686676 + 0.829511i) q^{75} +(2.05750 + 0.411093i) q^{76} +(-12.5099 + 12.5099i) q^{77} +(0.840847 - 0.0926812i) q^{78} +2.19362 q^{79} +(-0.0190148 + 8.94425i) q^{80} +(4.37652 + 7.58036i) q^{81} +(0.773418 - 7.81834i) q^{82} +(11.6655 - 11.6655i) q^{83} +(0.429605 + 1.26914i) q^{84} +(-5.48810 - 2.27591i) q^{85} +(-1.39339 + 3.69734i) q^{86} +(-0.281899 + 0.0755346i) q^{87} +(-2.79835 - 12.0715i) q^{88} +(-5.33046 + 3.07754i) q^{89} +(9.15244 + 2.14218i) q^{90} +(-4.51386 + 13.8425i) q^{91} +(-1.12600 - 17.4078i) q^{92} +(-0.0565919 + 0.211204i) q^{93} +(-2.02040 - 12.2701i) q^{94} +(-0.896810 - 2.16763i) q^{95} +(-0.913511 - 0.215063i) q^{96} +(3.34209 + 12.4729i) q^{97} +(-13.0979 - 1.29569i) q^{98} -13.0227 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−1.14919	−	0.824240i	−0.812597	−	0.582826i
$2$	−1.14919	−	0.824240i	−0.812597	−	0.582826i
$3$	−0.160249	−	0.0429387i	−0.0925200	−	0.0247907i	0.212262	−	0.977213i	$-0.431917\pi$
$3$	−0.160249	−	0.0429387i	−0.0925200	−	0.0247907i	−0.304782	+	0.952422i	$0.598584\pi$
$4$	0.641258	+	1.89441i	0.320629	+	0.947205i
$5$	1.36197	−	1.77343i	0.609090	−	0.793101i
$5$	1.36197	−	1.77343i	0.609090	−	0.793101i
$6$	0.148765	+	0.181428i	0.0607329	+	0.0740678i
$7$	−3.90057	+	1.04516i	−1.47428	+	0.395032i	−0.904396	−	0.426694i	$-0.859678\pi$
$7$	−3.90057	+	1.04516i	−1.47428	+	0.395032i	−0.569883	+	0.821726i	$0.693011\pi$
$8$	0.824524	−	2.70558i	0.291513	−	0.956567i
$9$	−2.57424	−	1.48624i	−0.858080	−	0.495413i
$10$	−3.02688	+	0.915413i	−0.957184	+	0.289479i
$11$	3.79415	−	2.19056i	1.14398	−	0.660477i	0.196567	−	0.980490i	$-0.437021\pi$
$11$	3.79415	−	2.19056i	1.14398	−	0.660477i	0.947413	+	0.320013i	$0.103687\pi$
$12$	−0.0214176	−	0.331113i	−0.00618274	−	0.0955840i
$13$	1.96692	−	3.02179i	0.545525	−	0.838095i
$13$	1.96692	−	3.02179i	0.545525	−	0.838095i
$14$	5.34394	+	2.01393i	1.42823	+	0.538245i
$15$	−0.294403	+	0.225710i	−0.0760145	+	0.0582780i
$16$	−3.17758	+	2.42961i	−0.794394	+	0.607402i
$17$	−0.687689	−	2.56649i	−0.166789	−	0.622466i	−0.997805	−	0.0662173i	$-0.978907\pi$
$17$	−0.687689	−	2.56649i	−0.166789	−	0.622466i	0.831016	−	0.556248i	$-0.187760\pi$
$18$	1.73326	+	3.82976i	0.408534	+	0.902682i
$19$	0.524542	−	0.908533i	0.120338	−	0.208432i	−0.799563	−	0.600582i	$-0.794935\pi$
$19$	0.524542	−	0.908533i	0.120338	−	0.208432i	0.919901	+	0.392151i	$0.128269\pi$
$20$	4.23297	+	1.44290i	0.946521	+	0.322642i
$21$	0.669942			0.146193
$22$	−6.16573	−	0.609936i	−1.31454	−	0.130039i
$23$	−8.42487	−	2.25744i	−1.75671	−	0.470708i	−0.770670	−	0.637234i	$-0.780078\pi$
$23$	−8.42487	−	2.25744i	−1.75671	−	0.470708i	−0.986037	+	0.166526i	$0.946745\pi$
$24$	−0.248303	+	0.398163i	−0.0506847	+	0.0812747i
$25$	−1.29010	−	4.83070i	−0.258019	−	0.966140i
$26$	−4.75104	+	1.85139i	−0.931755	+	0.363088i
$27$	0.700635	+	0.700635i	0.134837	+	0.134837i
$28$	−4.48123	−	6.71907i	−0.846872	−	1.26979i
$29$	1.52345	−	0.879564i	0.282898	−	0.163331i	−0.351837	−	0.936061i	$-0.614443\pi$
$29$	1.52345	−	0.879564i	0.282898	−	0.163331i	0.634734	+	0.772730i	$0.281109\pi$
$30$	0.524362	−	0.0167239i	0.0957350	−	0.00305336i
$31$		−	1.31797i		−	0.236714i	−0.992971	−	0.118357i	$-0.962237\pi$
$31$		−	1.31797i		−	0.236714i	0.992971	−	0.118357i	$-0.0377628\pi$
$32$	5.65421	−	0.172987i	0.999532	−	0.0305801i
$33$	−0.702070	+	0.188119i	−0.122215	+	0.0327473i
$34$	−1.32512	+	3.51620i	−0.227256	+	0.603023i
$35$	−3.45894	+	8.34086i	−0.584668	+	1.40986i
$36$	1.16479	−	5.82973i	0.194132	−	0.971621i
$37$	−0.947290	−	0.253826i	−0.155734	−	0.0417287i	0.180110	−	0.983646i	$-0.442355\pi$
$37$	−0.947290	−	0.253826i	−0.155734	−	0.0417287i	−0.335843	+	0.941918i	$0.609021\pi$
$38$	−1.35165	+	0.611725i	−0.219266	+	0.0992349i
$39$	−0.444949	+	0.399784i	−0.0712488	+	0.0640166i
$40$	−3.67518	−	5.14714i	−0.581097	−	0.813835i
$41$	2.77769	+	4.81110i	0.433803	+	0.751368i	0.997197	−	0.0748198i	$-0.0238382\pi$
$41$	2.77769	+	4.81110i	0.433803	+	0.751368i	−0.563394	+	0.826188i	$0.690505\pi$
$42$	−0.769888	−	0.552193i	−0.118796	−	0.0852052i
$43$	−0.723117	−	2.69871i	−0.110274	−	0.411549i	0.888616	−	0.458653i	$-0.151668\pi$
$43$	−0.723117	−	2.69871i	−0.110274	−	0.411549i	−0.998890	+	0.0471031i	$0.985001\pi$
$44$	6.58284	+	5.78297i	0.992400	+	0.871816i
$45$	−6.14176	+	2.54102i	−0.915560	+	0.378794i
$46$	7.82108	+	9.53833i	1.15315	+	1.40635i
$47$	6.21765	+	6.21765i	0.906937	+	0.906937i	0.996024	−	0.0890868i	$-0.0283948\pi$
$47$	6.21765	+	6.21765i	0.906937	+	0.906937i	−0.0890868	+	0.996024i	$0.528395\pi$
$48$	0.613529	−	0.252902i	0.0885552	−	0.0365033i
$49$	8.05995	−	4.65341i	1.15142	−	0.664773i
$50$	−2.49909	+	6.61472i	−0.353425	+	0.935463i
$51$			0.440807i			0.0617253i
$52$	6.98582	+	1.78840i	0.968758	+	0.248006i
$53$	6.43932	+	6.43932i	0.884508	+	0.884508i	0.993989	−	0.109481i	$-0.0349188\pi$
$53$	6.43932	+	6.43932i	0.884508	+	0.884508i	−0.109481	+	0.993989i	$0.534919\pi$
$54$	−0.227669	−	1.38265i	−0.0309818	−	0.188155i
$55$	1.28271	−	9.71212i	0.172961	−	1.30958i
$56$	−0.388364	+	11.4151i	−0.0518973	+	1.52540i
$57$	−0.123069	+	0.123069i	−0.0163008	+	0.0163008i
$58$	−2.47570	−	0.244905i	−0.325075	−	0.0321576i
$59$	1.16504	−	2.01791i	0.151675	−	0.262710i	−0.780168	−	0.625570i	$-0.784866\pi$
$59$	1.16504	−	2.01791i	0.151675	−	0.262710i	0.931844	+	0.362860i	$0.118200\pi$
$60$	−0.616375	−	0.412981i	−0.0795736	−	0.0533157i
$61$	−2.21047	+	3.82864i	−0.283021	+	0.490207i	−0.972127	−	0.234453i	$-0.924670\pi$
$61$	−2.21047	+	3.82864i	−0.283021	+	0.490207i	0.689106	+	0.724660i	$0.258003\pi$
$62$	−1.08632	+	1.51459i	−0.137963	+	0.192353i
$63$	11.5944	+	3.10670i	1.46075	+	0.391407i
$64$	−6.64032	−	4.46163i	−0.830040	−	0.557704i
$65$	−2.68006	−	7.60377i	−0.332421	−	0.943131i
$66$	0.961864	+	0.362490i	0.118397	+	0.0446195i
$67$	2.26133	−	8.43941i	0.276266	−	1.03104i	−0.678722	−	0.734395i	$-0.737466\pi$
$67$	2.26133	−	8.43941i	0.276266	−	1.03104i	0.954988	−	0.296643i	$-0.0958673\pi$
$68$	4.42100	−	2.94855i	0.536125	−	0.357564i
$69$	1.25315	+	0.723506i	0.150861	+	0.0870998i
$70$	10.8498	−	6.73420i	1.29680	−	0.804891i
$71$	3.62470	+	2.09272i	0.430173	+	0.248360i	0.699420	−	0.714711i	$-0.253442\pi$
$71$	3.62470	+	2.09272i	0.430173	+	0.248360i	−0.269247	+	0.963071i	$0.586775\pi$
$72$	−6.14366	+	5.73937i	−0.724037	+	0.676392i
$73$	2.27279	+	2.27279i	0.266009	+	0.266009i	0.827490	−	0.561480i	$-0.189768\pi$
$73$	2.27279	+	2.27279i	0.266009	+	0.266009i	−0.561480	+	0.827490i	$0.689768\pi$
$74$	0.879400	+	1.07249i	0.102228	+	0.124674i
$75$	−0.000686676		0.829511i	−7.92905e−5		0.0957837i
$76$	2.05750	+	0.411093i	0.236011	+	0.0471557i
$77$	−12.5099	+	12.5099i	−1.42564	+	1.42564i
$78$	0.840847	−	0.0926812i	0.0952071	−	0.0104941i
$79$	2.19362			0.246801			0.123401	−	0.992357i	$-0.460620\pi$
$79$	2.19362			0.246801			0.123401	+	0.992357i	$0.460620\pi$
$80$	−0.0190148	+	8.94425i	−0.00212592	+	0.999998i
$81$	4.37652	+	7.58036i	0.486280	+	0.842262i
$82$	0.773418	−	7.81834i	0.0854097	−	0.863391i
$83$	11.6655	−	11.6655i	1.28046	−	1.28046i	0.340050	−	0.940407i	$-0.389556\pi$
$83$	11.6655	−	11.6655i	1.28046	−	1.28046i	0.940407	−	0.340050i	$-0.110444\pi$
$84$	0.429605	+	1.26914i	0.0468738	+	0.138475i
$85$	−5.48810	−	2.27591i	−0.595268	−	0.246857i
$86$	−1.39339	+	3.69734i	−0.150253	+	0.398695i
$87$	−0.281899	+	0.0755346i	−0.0302228	+	0.00809816i
$88$	−2.79835	−	12.0715i	−0.298305	−	1.28683i
$89$	−5.33046	+	3.07754i	−0.565028	+	0.326219i	−0.755161	−	0.655539i	$-0.772441\pi$
$89$	−5.33046	+	3.07754i	−0.565028	+	0.326219i	0.190133	+	0.981758i	$0.439108\pi$
$90$	9.15244	+	2.14218i	0.964752	+	0.225805i
$91$	−4.51386	+	13.8425i	−0.473181	+	1.45108i
$92$	−1.12600	−	17.4078i	−0.117394	−	1.81488i
$93$	−0.0565919	+	0.211204i	−0.00586830	+	0.0219008i
$94$	−2.02040	−	12.2701i	−0.208389	−	1.26556i
$95$	−0.896810	−	2.16763i	−0.0920108	−	0.222394i
$96$	−0.913511	−	0.215063i	−0.0932348	−	0.0219498i
$97$	3.34209	+	12.4729i	0.339338	+	1.26643i	0.899089	+	0.437766i	$0.144230\pi$
$97$	3.34209	+	12.4729i	0.339338	+	1.26643i	−0.559751	+	0.828661i	$0.689103\pi$
$98$	−13.0979	−	1.29569i	−1.32309	−	0.130885i
$99$	−13.0227			−1.30884
$100$	8.32404	−	5.54169i	0.832404	−	0.554169i
$101$	−4.10518	−	7.11038i	−0.408481	−	0.707509i	0.586239	−	0.810138i	$-0.300608\pi$
$101$	−4.10518	−	7.11038i	−0.408481	−	0.707509i	−0.994720	+	0.102629i	$0.967275\pi$
$102$	0.363331	−	0.506569i	0.0359751	−	0.0501578i
$103$	−7.65747	+	7.65747i	−0.754513	+	0.754513i	−0.975318	−	0.220805i	$-0.929132\pi$
$103$	−7.65747	+	7.65747i	−0.754513	+	0.754513i	0.220805	+	0.975318i	$0.429132\pi$
$104$	−6.55393	−	7.81319i	−0.642666	−	0.766146i
$105$	0.912438	−	1.18809i	0.0890448	−	0.115946i
$106$	−2.09243	−	12.7075i	−0.203235	−	1.23426i
$107$	−2.98136	+	11.1266i	−0.288219	+	1.07565i	0.658236	+	0.752812i	$0.271303\pi$
$107$	−2.98136	+	11.1266i	−0.288219	+	1.07565i	−0.946455	+	0.322836i	$0.895364\pi$
$108$	−0.878002	+	1.77658i	−0.0844858	+	0.170951i
$109$			5.59263i			0.535677i	0.963464	+	0.267839i	$0.0863094\pi$
$109$			5.59263i			0.535677i	−0.963464	+	0.267839i	$0.913691\pi$
$110$	−9.47919	+	10.1038i	−0.903806	+	0.963357i
$111$	0.140904	+	0.0813508i	0.0133740	+	0.00772147i
$112$	9.85506	−	12.7979i	0.931215	−	1.20929i
$113$	13.1602	−	3.52626i	1.23800	−	0.331722i	0.420313	−	0.907379i	$-0.361920\pi$
$113$	13.1602	−	3.52626i	1.23800	−	0.331722i	0.817691	+	0.575657i	$0.195254\pi$
$114$	0.242867	−	0.0399907i	0.0227466	−	0.00374547i
$115$	−15.4778	+	11.8664i	−1.44331	+	1.10654i
$116$	2.64318	+	2.32201i	0.245413	+	0.215593i
$117$	−9.55442	+	4.85552i	−0.883307	+	0.448893i
$118$	−3.00209	+	1.35868i	−0.276365	+	0.125077i
$119$	5.36477	+	9.29205i	0.491787	+	0.851801i
$120$	0.367933	+	0.982633i	0.0335876	+	0.0897017i
$121$	4.09707	−	7.09633i	0.372461	−	0.645121i
$122$	5.69596	−	2.57787i	0.515688	−	0.233389i
$123$	−0.238541	−	0.890247i	−0.0215085	−	0.0802708i
$124$	2.49677	−	0.845158i	0.224217	−	0.0758974i
$125$	−10.3240	−	4.29135i	−0.923404	−	0.383830i
$126$	−10.7634	−	13.1267i	−0.958881	−	1.16942i
$127$	0.157598	−	0.588165i	0.0139846	−	0.0521912i	−0.958581	−	0.284820i	$-0.908066\pi$
$127$	0.157598	−	0.588165i	0.0139846	−	0.0521912i	0.972566	+	0.232629i	$0.0747328\pi$
$128$	3.95351	+	10.6005i	0.349444	+	0.936957i
$129$			0.463516i			0.0408103i
$130$	−3.18744	+	10.9472i	−0.279557	+	0.960129i
$131$		−	7.11495i		−	0.621636i	−0.950469	−	0.310818i	$-0.899397\pi$
$131$		−	7.11495i		−	0.621636i	0.950469	−	0.310818i	$-0.100603\pi$
$132$	−0.806582	−	1.20938i	−0.0702040	−	0.105263i
$133$	−1.09646	+	4.09203i	−0.0950748	+	0.354824i
$134$	−9.55479	+	7.83457i	−0.825408	+	0.676804i
$135$	2.19677	−	0.288285i	0.189068	−	0.0248116i
$136$	−7.51086	−	0.255535i	−0.644051	−	0.0219119i
$137$	−4.38381	−	16.3606i	−0.374534	−	1.39778i	−0.854025	−	0.520233i	$-0.825845\pi$
$137$	−4.38381	−	16.3606i	−0.374534	−	1.39778i	0.479491	−	0.877547i	$-0.340821\pi$
$138$	−0.843759	−	1.86434i	−0.0718255	−	0.158703i
$139$	10.1826	−	17.6367i	0.863673	−	1.49593i	−0.00468503	−	0.999989i	$-0.501491\pi$
$139$	10.1826	−	17.6367i	0.863673	−	1.49593i	0.868358	−	0.495937i	$-0.165175\pi$
$140$	−18.0191	−	1.20402i	−1.52289	−	0.101758i
$141$	−0.729396	−	1.26335i	−0.0614262	−	0.106393i
$142$	−2.44055	−	5.39255i	−0.204807	−	0.452533i
$143$	0.843377	−	15.7738i	0.0705267	−	1.31907i
$144$	11.7908	−	1.53176i	0.982569	−	0.127647i
$145$	0.515043	−	3.89967i	0.0427720	−	0.323850i
$146$	−0.738534	−	4.48517i	−0.0611215	−	0.371196i
$147$	−1.49141	+	0.399623i	−0.123010	+	0.0329603i
$148$	−0.126607	−	1.95732i	−0.0104070	−	0.160891i
$149$	5.03473	+	2.90680i	0.412461	+	0.238135i	0.691847	−	0.722044i	$-0.256797\pi$
$149$	5.03473	+	2.90680i	0.412461	+	0.238135i	−0.279385	+	0.960179i	$0.590131\pi$
$150$	0.684505	−	0.952697i	0.0558896	−	0.0777874i
$151$		−	18.5856i		−	1.51248i	−0.654297	−	0.756238i	$-0.727035\pi$
$151$		−	18.5856i		−	1.51248i	0.654297	−	0.756238i	$-0.272965\pi$
$152$	−2.02561	−	2.16830i	−0.164299	−	0.175872i
$153$	−2.04414	+	7.62884i	−0.165259	+	0.616755i
$154$	24.6874	−	4.06505i	1.98936	−	0.327571i
$155$	−2.33732	−	1.79503i	−0.187738	−	0.144180i
$156$	−1.04268	−	0.586551i	−0.0834813	−	0.0469617i
$157$	−8.53462	+	8.53462i	−0.681137	+	0.681137i	−0.960256	−	0.279120i	$-0.909957\pi$
$157$	−8.53462	+	8.53462i	−0.681137	+	0.681137i	0.279120	+	0.960256i	$0.409957\pi$
$158$	−2.52088	−	1.80807i	−0.200550	−	0.143842i
$159$	−0.755400	−	1.30839i	−0.0599071	−	0.103762i
$160$	7.39406	−	10.2629i	0.584552	−	0.811356i
$161$	35.2212			2.77582
$162$	1.21859	−	12.3185i	0.0957419	−	0.967837i
$163$	5.42097	+	20.2313i	0.424603	+	1.58464i	0.764787	+	0.644283i	$0.222844\pi$
$163$	5.42097	+	20.2313i	0.424603	+	1.58464i	−0.340184	+	0.940359i	$0.610489\pi$
$164$	−7.33299	+	8.34725i	−0.572610	+	0.651810i
$165$	−0.622580	+	1.50128i	−0.0484678	+	0.116875i
$166$	−23.0210	+	3.79067i	−1.78678	+	0.294213i
$167$	1.84988	−	6.90385i	0.143148	−	0.534236i	−0.856683	−	0.515843i	$-0.827479\pi$
$167$	1.84988	−	6.90385i	0.143148	−	0.534236i	0.999831	−	0.0183921i	$-0.00585472\pi$
$168$	0.552383	−	1.81258i	0.0426173	−	0.139844i
$169$	−5.26248	−	11.8872i	−0.404806	−	0.914403i
$170$	4.43095	+	7.13895i	0.339839	+	0.547532i
$171$	−2.70059	+	1.55919i	−0.206519	+	0.119234i
$172$	4.64876	−	3.10045i	0.354465	−	0.236407i
$173$	6.49194	−	1.73951i	0.493573	−	0.132252i	−0.00344274	−	0.999994i	$-0.501096\pi$
$173$	6.49194	−	1.73951i	0.493573	−	0.132252i	0.497016	+	0.867742i	$0.334429\pi$
$174$	0.386213	+	0.145549i	0.0292787	+	0.0110340i
$175$	10.0810	+	17.4941i	0.762048	+	1.32243i
$176$	−6.73402	+	16.1790i	−0.507596	+	1.21954i
$177$	−0.273343	+	0.273343i	−0.0205457	+	0.0205457i
$178$	8.66233	+	0.856908i	0.649269	+	0.0642280i
$179$	−0.953171	−	1.65094i	−0.0712434	−	0.123397i	0.828203	−	0.560428i	$-0.189363\pi$
$179$	−0.953171	−	1.65094i	−0.0712434	−	0.123397i	−0.899446	+	0.437031i	$0.856030\pi$
$180$	−8.75219	−	10.0056i	−0.652350	−	0.745771i
$181$	−22.7327			−1.68971			−0.844855	−	0.534995i	$-0.820314\pi$
$181$	−22.7327			−1.68971			−0.844855	+	0.534995i	$0.820314\pi$
$182$	16.5968	−	12.1871i	1.23023	−	0.903365i
$183$	0.518623	−	0.518623i	0.0383377	−	0.0383377i
$184$	−13.0542	+	20.9329i	−0.962367	+	1.54319i
$185$	−1.74032	+	1.33425i	−0.127951	+	0.0980960i
$186$	0.239117	−	0.196067i	0.0175329	−	0.0143763i
$187$	−8.23124	−	8.23124i	−0.601928	−	0.601928i
$188$	−7.79166	+	15.7659i	−0.568265	+	1.14985i
$189$	−3.46515	−	2.00061i	−0.252053	−	0.145523i
$190$	−0.756044	+	3.23020i	−0.0548492	+	0.234343i
$191$	−7.84806	−	4.53108i	−0.567866	−	0.327857i	0.188431	−	0.982086i	$-0.439660\pi$
$191$	−7.84806	−	4.53108i	−0.567866	−	0.327857i	−0.756296	+	0.654229i	$0.772993\pi$
$192$	0.872530	+	1.00010i	0.0629695	+	0.0721760i
$193$	−3.42143	+	12.7689i	−0.246280	+	0.919129i	0.726456	+	0.687213i	$0.241166\pi$
$193$	−3.42143	+	12.7689i	−0.246280	+	0.919129i	−0.972736	+	0.231916i	$0.925501\pi$
$194$	6.43994	−	17.0883i	0.462361	−	1.22687i
$195$	0.102982	+	1.33358i	0.00737471	+	0.0954994i
$196$	13.9840	+	12.2848i	0.998856	+	0.877487i
$197$	14.3583	+	3.84728i	1.02298	+	0.274108i	0.731045	−	0.682329i	$-0.239033\pi$
$197$	14.3583	+	3.84728i	1.02298	+	0.274108i	0.291939	+	0.956437i	$0.405700\pi$
$198$	14.9656	+	10.7339i	1.06356	+	0.762823i
$199$	−5.72784	+	9.92092i	−0.406036	+	0.703275i	−0.994441	−	0.105291i	$-0.966423\pi$
$199$	−5.72784	+	9.92092i	−0.406036	+	0.703275i	0.588405	+	0.808566i	$0.299756\pi$
$200$	−14.1336	−	0.492566i	−0.999393	−	0.0348297i
$201$	−0.724754	+	1.25531i	−0.0511202	+	0.0885428i
$202$	−1.14304	+	11.5548i	−0.0804242	+	0.812993i
$203$	−5.02305	+	5.02305i	−0.352549	+	0.352549i
$204$	−0.835069	+	0.282671i	−0.0584665	+	0.0197909i
$205$	12.3153	+	1.62652i	0.860136	+	0.113601i
$206$	15.1115	−	2.48827i	1.05286	−	0.173366i
$207$	18.3326	+	18.3326i	1.27420	+	1.27420i
$208$	1.09175	+	14.3808i	0.0756991	+	0.997131i
$209$		−	4.59615i		−	0.317922i
$210$	−2.02784	+	0.613273i	−0.139934	+	0.0423199i
$211$	8.19791	−	4.73306i	0.564367	−	0.325838i	−0.190529	−	0.981682i	$-0.561020\pi$
$211$	8.19791	−	4.73306i	0.564367	−	0.325838i	0.754897	+	0.655844i	$0.227687\pi$
$212$	−8.06945	+	16.3280i	−0.554212	+	1.12141i
$213$	−0.490997	−	0.490997i	−0.0336426	−	0.0336426i
$214$	12.5971	−	10.3292i	0.861121	−	0.706087i
$215$	−5.77083	−	2.39316i	−0.393567	−	0.163212i
$216$	2.47331	−	1.31793i	0.168288	−	0.0896740i
$217$	1.37748	+	5.14084i	0.0935097	+	0.348983i
$218$	4.60967	−	6.42698i	0.312206	−	0.435290i
$219$	−0.266622	−	0.461803i	−0.0180166	−	0.0312057i
$220$	19.2213	−	3.79798i	1.29590	−	0.256060i
$221$	−9.10804	−	2.97002i	−0.612673	−	0.199785i
$222$	−0.0948720	−	0.209626i	−0.00636739	−	0.0140691i
$223$	−9.95014	−	2.66613i	−0.666311	−	0.178537i	−0.0902185	−	0.995922i	$-0.528757\pi$
$223$	−9.95014	−	2.66613i	−0.666311	−	0.178537i	−0.576092	+	0.817385i	$0.695423\pi$
$224$	−21.8739	+	6.58428i	−1.46151	+	0.439931i
$225$	−3.85855	+	14.3528i	−0.257237	+	0.956851i
$226$	−18.0300	−	6.79481i	−1.19934	−	0.451984i
$227$	14.2415	−	3.81599i	0.945241	−	0.253276i	0.246899	−	0.969041i	$-0.420588\pi$
$227$	14.2415	−	3.81599i	0.945241	−	0.253276i	0.698341	+	0.715765i	$0.253922\pi$
$228$	−0.312061	−	0.154224i	−0.0206668	−	0.0102137i
$229$		−	10.0401i		−	0.663469i	−0.943373	−	0.331735i	$-0.892366\pi$
$229$		−	10.0401i		−	0.663469i	0.943373	−	0.331735i	$-0.107634\pi$
$230$	27.5676	−	0.879236i	1.81775	−	0.0579751i
$231$	2.54186	−	1.46754i	0.167242	−	0.0965574i
$232$	−1.12361	−	4.84704i	−0.0737686	−	0.318224i
$233$	−5.42234	−	5.42234i	−0.355229	−	0.355229i	0.506822	−	0.862051i	$-0.330820\pi$
$233$	−5.42234	−	5.42234i	−0.355229	−	0.355229i	−0.862051	+	0.506822i	$0.830820\pi$
$234$	14.9819	+	2.29524i	0.979399	+	0.150045i
$235$	19.4948	−	2.55833i	1.27170	−	0.166887i
$236$	4.56984	+	0.913065i	0.297471	+	0.0594355i
$237$	−0.351526	−	0.0941911i	−0.0228341	−	0.00611837i
$238$	1.49376	−	15.1001i	0.0968261	−	0.978797i
$239$	−15.9514			−1.03181			−0.515905	−	0.856646i	$-0.672544\pi$
$239$	−15.9514			−1.03181			−0.515905	+	0.856646i	$0.672544\pi$
$240$	0.387101	−	1.43249i	0.0249873	−	0.0924671i
$241$	10.1558	−	17.5904i	0.654193	−	1.13310i	−0.327903	−	0.944712i	$-0.606342\pi$
$241$	10.1558	−	17.5904i	0.654193	−	1.13310i	0.982095	−	0.188384i	$-0.0603249\pi$
$242$	−10.5574	+	4.77803i	−0.678653	+	0.307144i
$243$	−1.14519	−	4.27392i	−0.0734643	−	0.274172i
$244$	−8.67050	−	1.73239i	−0.555072	−	0.110905i
$245$	2.72488	−	20.6315i	0.174086	−	1.31810i
$246$	−0.459649	+	1.21967i	−0.0293061	+	0.0777636i
$247$	−1.71367	−	3.37207i	−0.109038	−	0.214559i
$248$	−3.56587	−	1.08670i	−0.226433	−	0.0690053i
$249$	−2.37029	+	1.36849i	−0.150211	+	0.0867245i
$250$	8.32705	+	13.4410i	0.526649	+	0.850083i
$251$	9.29307	+	5.36536i	0.586574	+	0.338658i	0.763741	−	0.645522i	$-0.223360\pi$
$251$	9.29307	+	5.36536i	0.586574	+	0.338658i	−0.177168	+	0.984181i	$0.556694\pi$
$252$	1.54961	+	23.9567i	0.0976162	+	1.50913i
$253$	−36.9103	+	9.89009i	−2.32053	+	0.621784i
$254$	−0.665899	+	0.546013i	−0.0417822	+	0.0342599i
$255$	0.781740	+	0.600364i	0.0489544	+	0.0375963i
$256$	4.19400	−	15.4405i	0.262125	−	0.965034i
$257$	10.5286	+	2.82112i	0.656754	+	0.175977i	0.571781	−	0.820406i	$-0.306253\pi$
$257$	10.5286	+	2.82112i	0.656754	+	0.175977i	0.0849735	+	0.996383i	$0.472919\pi$
$258$	0.382048	−	0.532666i	0.0237853	−	0.0331624i
$259$	3.96026			0.246079
$260$	12.6860	−	9.95311i	0.786755	−	0.617266i
$261$	−5.22897			−0.323665
$262$	−5.86442	+	8.17640i	−0.362305	+	0.505140i
$263$	−4.17667	−	1.11913i	−0.257544	−	0.0690088i	0.127737	−	0.991808i	$-0.459229\pi$
$263$	−4.17667	−	1.11913i	−0.257544	−	0.0690088i	−0.385281	+	0.922799i	$0.625895\pi$
$264$	−0.0699022	+	2.05461i	−0.00430218	+	0.126453i
$265$	20.1898	−	2.64954i	1.24025	−	0.162760i
$266$	4.63284	−	3.79876i	0.284058	−	0.232917i
$267$	0.986348	−	0.264291i	0.0603635	−	0.0161744i
$268$	17.4378	−	1.12794i	1.06518	−	0.0689001i
$269$	1.31566	+	0.759594i	0.0802170	+	0.0463133i	0.539572	−	0.841939i	$-0.318586\pi$
$269$	1.31566	+	0.759594i	0.0802170	+	0.0463133i	−0.459355	+	0.888253i	$0.651919\pi$
$270$	−2.76211	−	1.47937i	−0.168097	−	0.0900316i
$271$	−11.9069	+	6.87447i	−0.723295	+	0.417594i	−0.815964	−	0.578103i	$-0.803793\pi$
$271$	−11.9069	+	6.87447i	−0.723295	+	0.417594i	0.0926694	+	0.995697i	$0.470460\pi$
$272$	8.42076	+	6.48441i	0.510583	+	0.393175i
$273$	1.31772	−	2.02443i	0.0797520	−	0.122524i
$274$	−8.44724	+	22.4147i	−0.510316	+	1.35412i
$275$	−15.4767	−	15.5024i	−0.933282	−	0.934829i
$276$	−0.567025	+	2.83793i	−0.0341309	+	0.170823i
$277$	−1.85445	−	6.92090i	−0.111423	−	0.415836i	0.887571	−	0.460670i	$-0.152391\pi$
$277$	−1.85445	−	6.92090i	−0.111423	−	0.415836i	−0.998994	+	0.0448337i	$0.985724\pi$
$278$	−26.2385	+	11.8750i	−1.57368	+	0.712215i
$279$	−1.95882	+	3.39277i	−0.117271	+	0.203120i
$280$	19.7149	+	16.2357i	1.17819	+	0.970267i
$281$	19.6933			1.17480			0.587401	−	0.809296i	$-0.300151\pi$
$281$	19.6933			1.17480			0.587401	+	0.809296i	$0.300151\pi$
$282$	−0.203092	+	2.05302i	−0.0120940	+	0.122256i
$283$	20.3346	+	5.44863i	1.20876	+	0.323887i	0.806277	−	0.591538i	$-0.201479\pi$
$283$	20.3346	+	5.44863i	1.20876	+	0.323887i	0.402487	+	0.915426i	$0.368146\pi$
$284$	−1.64011	+	8.20865i	−0.0973225	+	0.487094i
$285$	0.0506381	+	0.385869i	0.00299954	+	0.0228569i
$286$	−13.9706	+	17.4319i	−0.826098	+	1.03077i
$287$	−15.8629	−	15.8629i	−0.936360	−	0.936360i
$288$	−14.8124	−	7.95819i	−0.872829	−	0.468941i
$289$	8.60847	−	4.97010i	0.506380	−	0.292359i
$290$	−3.80614	+	4.05692i	−0.223504	+	0.238231i
$291$		−	2.14227i		−	0.125582i
$292$	−2.84815	+	5.76303i	−0.166675	+	0.337256i
$293$	22.6992	−	6.08223i	1.32610	−	0.355328i	0.474841	−	0.880072i	$-0.342506\pi$
$293$	22.6992	−	6.08223i	1.32610	−	0.355328i	0.851260	+	0.524744i	$0.175839\pi$
$294$	2.04330	+	0.770041i	0.119167	+	0.0449097i
$295$	−1.99187	−	4.81444i	−0.115971	−	0.280308i
$296$	−1.46781	+	2.35368i	−0.0853146	+	0.136805i
$297$	4.19310	+	1.12354i	0.243308	+	0.0651942i
$298$	−3.38994	−	7.49029i	−0.196374	−	0.433901i
$299$	−23.3925	+	21.0180i	−1.35283	+	1.21550i
$300$	−1.57187	+	0.530629i	−0.0907522	+	0.0306359i
$301$	5.64114	+	9.77075i	0.325150	+	0.563177i
$302$	−15.3190	+	21.3583i	−0.881509	+	1.22903i
$303$	0.352542	+	1.31570i	0.0202530	+	0.0755853i
$304$	0.540608	+	4.16137i	0.0310060	+	0.238671i
$305$	3.77924	+	9.13459i	0.216399	+	0.523045i
$306$	8.63709	−	7.08209i	0.493749	−	0.404856i
$307$	4.38492	+	4.38492i	0.250260	+	0.250260i	0.821077	−	0.570817i	$-0.193373\pi$
$307$	4.38492	+	4.38492i	0.250260	+	0.250260i	−0.570817	+	0.821077i	$0.693373\pi$
$308$	−31.7210	−	15.6768i	−1.80747	−	0.893269i
$309$	1.55591	−	0.898303i	0.0885124	−	0.0511027i
$310$	1.20649	+	3.98934i	0.0685238	+	0.226579i
$311$			16.2483i			0.921355i	0.887568	+	0.460677i	$0.152394\pi$
$311$			16.2483i			0.921355i	−0.887568	+	0.460677i	$0.847606\pi$
$312$	0.714775	+	1.53348i	0.0404662	+	0.0868160i
$313$	−18.6356	−	18.6356i	−1.05335	−	1.05335i	−0.998495	−	0.0548509i	$-0.982532\pi$
$313$	−18.6356	−	18.6356i	−1.05335	−	1.05335i	−0.0548509	−	0.998495i	$-0.517468\pi$
$314$	16.8424	−	2.77329i	0.950474	−	0.156506i
$315$	21.3006	−	16.3306i	1.20016	−	0.920123i
$316$	1.40667	+	4.15561i	0.0791316	+	0.233771i
$317$	8.44389	−	8.44389i	0.474256	−	0.474256i	−0.429033	−	0.903289i	$-0.641145\pi$
$317$	8.44389	−	8.44389i	0.474256	−	0.474256i	0.903289	+	0.429033i	$0.141145\pi$
$318$	−0.210333	+	2.12622i	−0.0117949	+	0.119232i
$319$	3.85347	−	6.67440i	0.215753	−	0.373695i
$320$	−16.9563	+	5.69955i	−0.947884	+	0.318614i
$321$	0.955522	−	1.65501i	0.0533320	−	0.0923738i
$322$	−40.4757	−	29.0307i	−2.25562	−	1.61782i
$323$	−2.69246	−	0.721444i	−0.149813	−	0.0401422i
$324$	−11.5538	+	13.1519i	−0.641879	+	0.730661i
$325$	−17.1349	−	5.60318i	−0.950473	−	0.310808i
$326$	10.4458	−	27.7178i	0.578538	−	1.53515i
$327$	0.240140	−	0.896215i	0.0132798	−	0.0495608i
$328$	15.3071	−	3.54840i	0.845193	−	0.195928i
$329$	−30.7508	−	17.7540i	−1.69535	−	0.978809i
$330$	1.95288	−	1.21210i	0.107502	−	0.0667238i
$331$	−20.1169	−	11.6145i	−1.10572	−	0.638389i	−0.168005	−	0.985786i	$-0.553732\pi$
$331$	−20.1169	−	11.6145i	−1.10572	−	0.638389i	−0.937718	+	0.347397i	$0.887066\pi$
$332$	29.5799	+	14.6187i	1.62341	+	0.802304i
$333$	2.06131	+	2.06131i	0.112959	+	0.112959i
$334$	−7.81628	+	6.40906i	−0.427688	+	0.350688i
$335$	−11.8868	−	15.5045i	−0.649447	−	0.847102i
$336$	−2.12879	+	1.62770i	−0.116135	+	0.0887981i
$337$	−0.808183	+	0.808183i	−0.0440246	+	0.0440246i	−0.728776	−	0.684752i	$-0.759911\pi$
$337$	−0.808183	+	0.808183i	−0.0440246	+	0.0440246i	0.684752	+	0.728776i	$0.259911\pi$
$338$	−3.75037	+	17.9982i	−0.203993	+	0.978972i
$339$	−2.26032			−0.122764
$340$	0.792215	−	11.8562i	0.0429639	−	0.642990i
$341$	−2.88709	−	5.00058i	−0.156344	−	0.270796i
$342$	4.38863	+	0.434139i	0.237310	+	0.0234755i
$343$	−6.58696	+	6.58696i	−0.355662	+	0.355662i
$344$	−7.89780	−	0.268699i	−0.425821	−	0.0144873i
$345$	2.98983	−	1.23698i	0.160967	−	0.0665967i
$346$	−8.89422	−	3.35189i	−0.478156	−	0.180199i
$347$	−8.58174	+	2.29947i	−0.460692	+	0.123442i	−0.481698	−	0.876337i	$-0.659980\pi$
$347$	−8.58174	+	2.29947i	−0.460692	+	0.123442i	0.0210059	+	0.999779i	$0.493313\pi$
$348$	−0.323863	−	0.485595i	−0.0173609	−	0.0260306i
$349$	−5.89632	+	3.40424i	−0.315623	+	0.182225i	−0.649440	−	0.760413i	$-0.724997\pi$
$349$	−5.89632	+	3.40424i	−0.315623	+	0.182225i	0.333817	+	0.942638i	$0.391663\pi$
$350$	2.83448	−	28.4132i	0.151510	−	1.51875i
$351$	3.49527	−	0.739084i	0.186563	−	0.0394494i
$352$	21.0740	−	13.0422i	1.12325	−	0.695151i
$353$	4.72403	−	17.6303i	0.251435	−	0.938366i	−0.718605	−	0.695419i	$-0.755219\pi$
$353$	4.72403	−	17.6303i	0.251435	−	0.938366i	0.970039	−	0.242948i	$-0.0781144\pi$
$354$	0.539423	−	0.0888219i	0.0286700	−	0.00472083i
$355$	8.64802	−	3.57793i	0.458989	−	0.189897i
$356$	−9.24833	−	8.12458i	−0.490160	−	0.430602i
$357$	−0.460712	−	1.71940i	−0.0243835	−	0.0910003i
$358$	−0.265400	+	2.68288i	−0.0140268	+	0.141795i
$359$	34.5802			1.82507			0.912537	−	0.408994i	$-0.134120\pi$
$359$	34.5802			1.82507			0.912537	+	0.408994i	$0.134120\pi$
$360$	1.81091	+	18.7122i	0.0954435	+	0.986218i
$361$	8.94971	+	15.5014i	0.471037	+	0.815861i
$362$	26.1241	+	18.7372i	1.37305	+	0.984807i
$363$	−0.961259	+	0.961259i	−0.0504530	+	0.0504530i
$364$	−29.1178	+	0.325484i	−1.52619	+	0.0170600i
$365$	7.12608	−	0.935166i	0.372996	−	0.0489488i
$366$	−1.02346	+	0.168525i	−0.0534973	+	0.00880892i
$367$	−4.03782	+	15.0694i	−0.210773	+	0.786614i	0.776839	+	0.629699i	$0.216822\pi$
$367$	−4.03782	+	15.0694i	−0.210773	+	0.786614i	−0.987612	+	0.156916i	$0.949845\pi$
$368$	32.2554	−	13.2960i	1.68143	−	0.693100i
$369$		−	16.5133i		−	0.859646i
$370$	3.09969	−	0.0988610i	0.161145	−	0.00513954i
$371$	−31.8471	−	18.3869i	−1.65342	−	0.954603i
$372$	−0.436396	+	0.0282278i	−0.0226261	+	0.00146354i
$373$	6.12069	−	1.64003i	0.316917	−	0.0849177i	−0.0968540	−	0.995299i	$-0.530878\pi$
$373$	6.12069	−	1.64003i	0.316917	−	0.0849177i	0.413771	+	0.910381i	$0.364211\pi$
$374$	2.67471	+	16.2437i	0.138306	+	0.839944i
$375$	1.47014	+	1.13098i	0.0759179	+	0.0584038i
$376$	21.9489	−	11.6957i	1.13193	−	0.603162i
$377$	0.338638	−	6.33358i	0.0174407	−	0.326196i
$378$	2.33312	+	5.15518i	0.120003	+	0.265154i
$379$	9.99984	+	17.3202i	0.513657	+	0.889680i	0.999875	+	0.0158424i	$0.00504301\pi$
$379$	9.99984	+	17.3202i	0.513657	+	0.889680i	−0.486217	+	0.873838i	$0.661624\pi$
$380$	3.53129	−	3.08893i	0.181151	−	0.158459i
$381$	−0.0505101	+	0.0874860i	−0.00258771	+	0.00448204i
$382$	5.28419	+	11.6757i	0.270362	+	0.597383i
$383$	5.99591	+	22.3770i	0.306377	+	1.14341i	0.931754	+	0.363091i	$0.118278\pi$
$383$	5.99591	+	22.3770i	0.306377	+	1.14341i	−0.625377	+	0.780323i	$0.715055\pi$
$384$	−0.178378	−	1.86847i	−0.00910282	−	0.0953502i
$385$	5.14735	+	39.2235i	0.262333	+	1.99901i
$386$	14.4565	−	11.8538i	0.735818	−	0.603344i
$387$	−2.14945	+	8.02185i	−0.109263	+	0.407774i
$388$	−21.4856	+	14.3296i	−1.09076	+	0.727475i
$389$			36.8469i			1.86821i	0.356994	+	0.934107i	$0.383802\pi$
$389$			36.8469i			1.86821i	−0.356994	+	0.934107i	$0.616198\pi$
$390$	0.980841	−	1.61741i	0.0496668	−	0.0819007i
$391$			23.1748i			1.17200i
$392$	−5.94456	−	25.6437i	−0.300246	−	1.29520i
$393$	−0.305506	+	1.14017i	−0.0154108	+	0.0575137i
$394$	−13.3292	−	16.2559i	−0.671517	−	0.818960i
$395$	2.98763	−	3.89023i	0.150324	−	0.195738i
$396$	−8.35094	−	24.6704i	−0.419650	−	1.23974i
$397$	−4.01147	−	14.9710i	−0.201330	−	0.751373i	−0.990537	−	0.137246i	$-0.956175\pi$
$397$	−4.01147	−	14.9710i	−0.201330	−	0.751373i	0.789207	−	0.614127i	$-0.210492\pi$
$398$	14.7596	−	6.67986i	0.739831	−	0.334831i
$399$	0.351412	−	0.608664i	0.0175926	−	0.0304713i
$400$	15.8361	+	12.2155i	0.791805	+	0.610774i
$401$	−14.9543	−	25.9016i	−0.746783	−	1.29347i	−0.949357	−	0.314199i	$-0.898264\pi$
$401$	−14.9543	−	25.9016i	−0.746783	−	1.29347i	0.202574	−	0.979267i	$-0.435069\pi$
$402$	1.86755	−	0.845215i	0.0931452	−	0.0421555i
$403$	−3.98263	−	2.59234i	−0.198389	−	0.129133i
$404$	10.8375	−	12.3365i	0.539186	−	0.613763i
$405$	19.4039	+	2.56274i	0.964188	+	0.127344i
$406$	9.91261	−	1.63222i	0.491955	−	0.0810058i
$407$	−4.15018	+	1.11204i	−0.205717	+	0.0551217i
$408$	1.19264	+	0.363456i	0.0590444	+	0.0179937i
$409$	15.3020	+	8.83461i	0.756635	+	0.436844i	0.828086	−	0.560601i	$-0.189430\pi$
$409$	15.3020	+	8.83461i	0.756635	+	0.436844i	−0.0714511	+	0.997444i	$0.522763\pi$
$410$	−12.8119	−	12.0199i	−0.632734	−	0.593621i
$411$			2.81001i			0.138607i
$412$	−19.4168	−	9.59598i	−0.956597	−	0.472760i
$413$	−2.43530	+	9.08866i	−0.119833	+	0.447224i
$414$	−5.95710	−	36.1779i	−0.292775	−	1.77805i
$415$	−4.79992	−	36.5760i	−0.235619	−	1.79545i
$416$	10.5986	−	17.4261i	0.519640	−	0.854385i
$417$	−2.38904	+	2.38904i	−0.116992	+	0.116992i
$418$	−3.78833	+	5.28183i	−0.185293	+	0.258343i
$419$	8.59948	+	14.8947i	0.420112	+	0.727655i	0.995950	−	0.0899085i	$-0.0286575\pi$
$419$	8.59948	+	14.8947i	0.420112	+	0.727655i	−0.575838	+	0.817564i	$0.695324\pi$
$420$	2.83584	+	0.966658i	0.138375	+	0.0471681i
$421$	−10.5744			−0.515363			−0.257682	−	0.966230i	$-0.582959\pi$
$421$	−10.5744			−0.515363			−0.257682	+	0.966230i	$0.582959\pi$
$422$	−13.3221	−	1.31787i	−0.648510	−	0.0641529i
$423$	−6.76481	−	25.2466i	−0.328916	−	1.22753i
$424$	22.7315	−	12.1127i	1.10394	−	0.588245i
$425$	−11.5108	+	6.63304i	−0.558354	+	0.321750i
$426$	0.159548	+	0.968947i	0.00773011	+	0.0469456i
$427$	4.62057	−	17.2442i	0.223605	−	0.834505i
$428$	−22.9901	+	1.48709i	−1.11127	+	0.0718812i
$429$	−0.812456	+	2.49153i	−0.0392257	+	0.120292i
$430$	4.65922	+	7.50673i	0.224688	+	0.362007i
$431$	28.7005	−	16.5702i	1.38245	−	0.798161i	0.390005	−	0.920813i	$-0.372473\pi$
$431$	28.7005	−	16.5702i	1.38245	−	0.798161i	0.992450	+	0.122652i	$0.0391399\pi$
$432$	−3.92859	−	0.524053i	−0.189014	−	0.0252135i
$433$	−2.30698	+	0.618153i	−0.110866	+	0.0297065i	−0.313826	−	0.949481i	$-0.601611\pi$
$433$	−2.30698	+	0.618153i	−0.110866	+	0.0297065i	0.202959	+	0.979187i	$0.434944\pi$
$434$	2.65430	−	7.04316i	0.127410	−	0.338082i
$435$	−0.249982	+	0.602804i	−0.0119857	+	0.0289022i
$436$	−10.5947	+	3.58632i	−0.507396	+	0.171753i
$437$	−6.47015	+	6.47015i	−0.309509	+	0.309509i
$438$	−0.0742380	+	0.750458i	−0.00354723	+	0.0358583i
$439$	−3.31184	−	5.73628i	−0.158066	−	0.273778i	0.776105	−	0.630603i	$-0.217192\pi$
$439$	−3.31184	−	5.73628i	−0.158066	−	0.273778i	−0.934171	+	0.356826i	$0.883859\pi$
$440$	−25.2193	−	11.4784i	−1.20228	−	0.547209i
$441$	−27.6643			−1.31735
$442$	8.01882	+	10.9203i	0.381416	+	0.519426i
$443$	−13.9589	+	13.9589i	−0.663206	+	0.663206i	−0.956134	−	0.292929i	$-0.905370\pi$
$443$	−13.9589	+	13.9589i	−0.663206	+	0.663206i	0.292929	+	0.956134i	$0.405370\pi$
$444$	−0.0637562	+	0.319096i	−0.00302573	+	0.0151436i
$445$	−1.80210	+	13.6447i	−0.0854280	+	0.646821i
$446$	9.23703	+	11.2652i	0.437386	+	0.533422i
$447$	−0.681998	−	0.681998i	−0.0322574	−	0.0322574i
$448$	30.5642	+	10.4627i	1.44402	+	0.494318i
$449$	−2.27884	−	1.31569i	−0.107545	−	0.0620913i	0.445263	−	0.895400i	$-0.353110\pi$
$449$	−2.27884	−	1.31569i	−0.107545	−	0.0620913i	−0.552808	+	0.833309i	$0.686444\pi$
$450$	16.2643	−	13.3136i	0.766707	−	0.627611i
$451$	21.0780	+	12.1694i	0.992523	+	0.573034i
$452$	15.1192	+	22.6695i	0.711149	+	1.06628i
$453$	−0.798041	+	2.97833i	−0.0374952	+	0.139934i
$454$	−19.5114	−	7.35311i	−0.915716	−	0.345099i
$455$	18.4009	+	26.8580i	0.862647	+	1.25912i
$456$	0.231499	+	0.434445i	0.0108409	+	0.0203448i
$457$	1.74052	+	0.466370i	0.0814180	+	0.0218159i	0.299298	−	0.954160i	$-0.403248\pi$
$457$	1.74052	+	0.466370i	0.0814180	+	0.0218159i	−0.217880	+	0.975976i	$0.569914\pi$
$458$	−8.27546	+	11.5380i	−0.386687	+	0.539133i
$459$	1.31635	−	2.27999i	0.0614422	−	0.106421i
$460$	−32.4050	−	21.7119i	−1.51089	−	1.01232i
$461$	−0.0893873	+	0.154823i	−0.00416318	+	0.00721084i	−0.868099	−	0.496390i	$-0.834659\pi$
$461$	−0.0893873	+	0.154823i	−0.00416318	+	0.00721084i	0.863936	+	0.503601i	$0.167992\pi$
$462$	−4.13068	−	0.408622i	−0.192177	−	0.0190108i
$463$	7.49693	−	7.49693i	0.348412	−	0.348412i	−0.511106	−	0.859518i	$-0.670764\pi$
$463$	7.49693	−	7.49693i	0.348412	−	0.348412i	0.859518	+	0.511106i	$0.170764\pi$
$464$	−2.70388	+	6.49627i	−0.125525	+	0.301582i
$465$	0.297478	+	0.388014i	0.0137952	+	0.0179937i
$466$	1.76197	+	10.7006i	0.0816217	+	0.495695i
$467$	−0.992726	−	0.992726i	−0.0459379	−	0.0459379i	0.683765	−	0.729703i	$-0.260341\pi$
$467$	−0.992726	−	0.992726i	−0.0459379	−	0.0459379i	−0.729703	+	0.683765i	$0.760341\pi$
$468$	−15.3252	−	14.9864i	−0.708407	−	0.692744i
$469$			35.2820i			1.62917i
$470$	−24.5118	−	13.1284i	−1.13065	−	0.605567i
$471$	1.73413	−	1.00120i	0.0799046	−	0.0461329i
$472$	−4.49901	−	4.81593i	−0.207084	−	0.221671i
$473$	−8.65529	−	8.65529i	−0.397971	−	0.397971i
$474$	0.326333	+	0.397985i	0.0149890	+	0.0182800i
$475$	−5.06556	−	1.36181i	−0.232424	−	0.0624840i
$476$	−14.1628	+	16.1217i	−0.649149	+	0.738935i
$477$	−7.00599	−	26.1467i	−0.320782	−	1.19718i
$478$	18.3311	+	13.1478i	0.838446	+	0.601365i
$479$	−13.0239	−	22.5581i	−0.595077	−	1.03070i	−0.993536	−	0.113518i	$-0.963788\pi$
$479$	−13.0239	−	22.5581i	−0.595077	−	1.03070i	0.398459	−	0.917186i	$-0.369545\pi$
$480$	−1.62557	+	1.32714i	−0.0741968	+	0.0605753i
$481$	−2.63025	+	2.36326i	−0.119929	+	0.107755i
$482$	−26.1696	+	11.8438i	−1.19199	+	0.539470i
$483$	−5.64418	−	1.51235i	−0.256819	−	0.0688144i
$484$	16.0706	+	3.21095i	0.730483	+	0.145952i
$485$	26.6715	+	11.0606i	1.21109	+	0.502238i
$486$	−2.20670	+	5.85545i	−0.100098	+	0.265609i
$487$	−3.02783	+	0.811304i	−0.137204	+	0.0367637i	−0.326767	−	0.945105i	$-0.605959\pi$
$487$	−3.02783	+	0.811304i	−0.137204	+	0.0367637i	0.189563	+	0.981868i	$0.439293\pi$
$488$	8.53611	+	9.13740i	0.386412	+	0.413631i
$489$		−	3.47483i		−	0.157137i
$490$	−20.1367	+	21.4635i	−0.909685	+	0.969623i
$491$	−1.67105	+	0.964780i	−0.0754133	+	0.0435399i	−0.537232	−	0.843434i	$-0.680530\pi$
$491$	−1.67105	+	0.964780i	−0.0754133	+	0.0435399i	0.461819	+	0.886974i	$0.347197\pi$
$492$	1.53353	−	1.02277i	0.0691367	−	0.0461101i
$493$	−3.30505	−	3.30505i	−0.148852	−	0.148852i
$494$	−0.810066	+	5.28761i	−0.0364466	+	0.237901i
$495$	−17.7365	+	23.0949i	−0.797198	+	1.03804i
$496$	3.20215	+	4.18795i	0.143781	+	0.188045i
$497$	−16.3256	−	4.37444i	−0.732305	−	0.196221i
$498$	3.85187	+	0.381041i	0.172606	+	0.0170749i
$499$	9.93441			0.444725			0.222363	−	0.974964i	$-0.428623\pi$
$499$	9.93441			0.444725			0.222363	+	0.974964i	$0.428623\pi$
$500$	1.50926	−	22.3097i	0.0674962	−	0.997720i
$501$	−0.592884	+	1.02690i	−0.0264881	+	0.0458787i
$502$	−6.25713	−	13.8255i	−0.279269	−	0.617063i
$503$	3.98122	+	14.8581i	0.177514	+	0.662491i	0.996110	+	0.0881211i	$0.0280862\pi$
$503$	3.98122	+	14.8581i	0.177514	+	0.662491i	−0.818596	+	0.574370i	$0.805247\pi$
$504$	17.9653	−	28.8079i	0.800236	−	1.28321i
$505$	−18.2009	−	2.40385i	−0.809928	−	0.106970i
$506$	50.5686	+	19.0574i	2.24805	+	0.847204i
$507$	0.332886	+	2.13088i	0.0147840	+	0.0946359i
$508$	1.21529	−	0.0786094i	0.0539197	−	0.00348773i
$509$	−21.8031	+	12.5880i	−0.966405	+	0.557954i	−0.898138	−	0.439713i	$-0.855080\pi$
$509$	−21.8031	+	12.5880i	−0.966405	+	0.557954i	−0.0682666	+	0.997667i	$0.521747\pi$
$510$	−0.403520	−	1.33427i	−0.0178682	−	0.0590825i
$511$	−11.2406	−	6.48976i	−0.497254	−	0.287090i
$512$	−17.5464	+	14.2872i	−0.775448	+	0.631411i
$513$	1.00406	−	0.269038i	0.0443304	−	0.0118783i
$514$	−9.77401	−	11.9201i	−0.431113	−	0.525771i
$515$	3.15076	+	24.0092i	0.138839	+	1.05797i
$516$	−0.878089	+	0.297233i	−0.0386557	+	0.0130850i
$517$	37.2108	+	9.97061i	1.63653	+	0.438507i
$518$	−4.55108	−	3.26421i	−0.199963	−	0.143421i
$519$	−1.11502			−0.0489440
$520$	−22.7824	+	0.981632i	−0.999073	+	0.0430474i
$521$	−7.33035			−0.321148			−0.160574	−	0.987024i	$-0.551335\pi$
$521$	−7.33035			−0.321148			−0.160574	+	0.987024i	$0.551335\pi$
$522$	6.00906	+	4.30992i	0.263009	+	0.188640i
$523$	−16.1184	−	4.31892i	−0.704809	−	0.188853i	−0.111426	−	0.993773i	$-0.535542\pi$
$523$	−16.1184	−	4.31892i	−0.704809	−	0.188853i	−0.593384	+	0.804920i	$0.702208\pi$
$524$	13.4786	−	4.56251i	0.588817	−	0.199314i
$525$	−0.864290	−	3.23629i	−0.0377207	−	0.141243i
$526$	3.87733	+	4.72867i	0.169060	+	0.206180i
$527$	−3.38256	+	0.906354i	−0.147347	+	0.0394814i
$528$	1.77383	−	2.30352i	0.0771959	−	0.100248i
$529$	45.9639	+	26.5373i	1.99843	+	1.15379i
$530$	−25.3857	−	13.5964i	−1.10268	−	0.590591i
$531$	−5.99819	+	3.46306i	−0.260299	+	0.150284i
$532$	−8.45509	+	0.546907i	−0.366575	+	0.0237114i
$533$	20.0017	+	1.06943i	0.866368	+	0.0463221i
$534$	−1.35134	−	0.509268i	−0.0584781	−	0.0220382i
$535$	15.6717	+	20.4413i	0.677547	+	0.883753i
$536$	−20.9690	−	13.0767i	−0.905722	−	0.564828i
$537$	0.0818558	+	0.305490i	0.00353234	+	0.0131829i
$538$	−0.885846	−	1.95733i	−0.0381915	−	0.0843865i
$539$	20.3871	−	35.3115i	0.878136	−	1.52098i
$540$	1.95482	+	3.97671i	0.0841222	+	0.171130i
$541$	−13.3308			−0.573138			−0.286569	−	0.958060i	$-0.592515\pi$
$541$	−13.3308			−0.573138			−0.286569	+	0.958060i	$0.592515\pi$
$542$	19.3495	+	1.91412i	0.831132	+	0.0822186i
$543$	3.64290	+	0.976113i	0.156332	+	0.0418890i
$544$	−4.33231	−	14.3925i	−0.185746	−	0.617074i
$545$	9.91813	+	7.61698i	0.424846	+	0.326275i
$546$	−3.18292	+	1.24033i	−0.136216	+	0.0530810i
$547$	11.9235	+	11.9235i	0.509814	+	0.509814i	0.914469	−	0.404655i	$-0.132608\pi$
$547$	11.9235	+	11.9235i	0.509814	+	0.509814i	−0.404655	+	0.914469i	$0.632608\pi$
$548$	28.1825	−	18.7961i	1.20390	−	0.802929i
$549$	11.3805	−	6.57056i	0.485710	−	0.280425i
$550$	5.00797	+	30.5717i	0.213541	+	1.30358i
$551$		−	1.84547i		−	0.0786198i
$552$	2.99075	−	2.79395i	0.127295	−	0.118918i
$553$	−8.55637	+	2.29267i	−0.363854	+	0.0974944i
$554$	−3.57337	+	9.48191i	−0.151818	+	0.402848i
$555$	0.336176	−	0.139086i	0.0142699	−	0.00590385i
$556$	39.9408	+	7.98027i	1.69387	+	0.338439i
$557$	33.5881	+	8.99989i	1.42317	+	0.381338i	0.886608	−	0.462522i	$-0.153055\pi$
$557$	33.5881	+	8.99989i	1.42317	+	0.381338i	0.536564	+	0.843860i	$0.319722\pi$
$558$	5.04750	−	2.28439i	0.213678	−	0.0967059i
$559$	−9.57726	−	3.12303i	−0.405075	−	0.132090i
$560$	−9.27397	−	34.9076i	−0.391897	−	1.47511i
$561$	0.965612	+	1.67249i	0.0407682	+	0.0706125i
$562$	−22.6312	−	16.2320i	−0.954641	−	0.684705i
$563$	−10.4677	−	39.0659i	−0.441160	−	1.64643i	−0.725880	−	0.687821i	$-0.758567\pi$
$563$	−10.4677	−	39.0659i	−0.441160	−	1.64643i	0.284720	−	0.958611i	$-0.408099\pi$
$564$	1.92557	−	2.19191i	0.0810813	−	0.0922960i
$565$	11.6701	−	28.1413i	0.490966	−	1.18391i
$566$	−18.8772	−	23.0220i	−0.793468	−	0.967688i
$567$	−24.9936	−	24.9936i	−1.04963	−	1.04963i
$568$	8.65068	−	8.08142i	0.362975	−	0.339089i
$569$	−15.5885	+	9.00003i	−0.653504	+	0.377301i	−0.789798	−	0.613368i	$-0.789814\pi$
$569$	−15.5885	+	9.00003i	−0.653504	+	0.377301i	0.136293	+	0.990669i	$0.456481\pi$
$570$	0.259856	−	0.485173i	0.0108842	−	0.0203217i
$571$			20.5819i			0.861327i	0.902513	+	0.430663i	$0.141720\pi$
$571$			20.5819i			0.861327i	−0.902513	+	0.430663i	$0.858280\pi$
$572$	30.4228	−	8.51736i	1.27204	−	0.356129i
$573$	1.06309	+	1.06309i	0.0444111	+	0.0444111i
$574$	5.15461	+	31.3044i	0.215149	+	1.30662i
$575$	−0.0361010	+	43.6103i	−0.00150551	+	1.81868i
$576$	10.4627	+	21.3544i	0.435947	+	0.889767i
$577$	−11.0858	+	11.0858i	−0.461508	+	0.461508i	−0.899149	−	0.437642i	$-0.855814\pi$
$577$	−11.0858	+	11.0858i	−0.461508	+	0.461508i	0.437642	+	0.899149i	$0.355814\pi$
$578$	−13.9893	−	1.38387i	−0.581878	−	0.0575614i
$579$	1.09656	−	1.89930i	0.0455716	−	0.0789324i
$580$	7.71784	−	1.52499i	0.320466	−	0.0633217i
$581$	−33.3099	+	57.6945i	−1.38193	+	2.39357i
$582$	−1.76574	+	2.46187i	−0.0731925	+	0.102048i
$583$	38.5374	+	10.3261i	1.59606	+	0.427662i
$584$	8.02317	−	4.27524i	0.332001	−	0.176911i
$585$	−4.40189	+	23.5571i	−0.181996	+	0.973968i
$586$	−31.0988	−	11.7200i	−1.28468	−	0.484147i
$587$	3.22836	−	12.0484i	0.133249	−	0.497291i	−0.866750	−	0.498743i	$-0.833795\pi$
$587$	3.22836	−	12.0484i	0.133249	−	0.497291i	0.999999	+	0.00145137i	$0.000461986\pi$
$588$	−1.71343	−	2.56909i	−0.0706606	−	0.105947i
$589$	−1.19742	−	0.691330i	−0.0493388	−	0.0284858i
$590$	−1.67922	+	7.17447i	−0.0691325	+	0.295368i
$591$	−2.13570	−	1.23305i	−0.0878511	−	0.0507209i
$592$	3.62679	−	1.49499i	0.149060	−	0.0614439i
$593$	−25.5942	−	25.5942i	−1.05103	−	1.05103i	−0.998626	−	0.0524005i	$-0.983313\pi$
$593$	−25.5942	−	25.5942i	−1.05103	−	1.05103i	−0.0524005	−	0.998626i	$-0.516687\pi$
$594$	−3.89258	−	4.74727i	−0.159715	−	0.194783i
$595$	23.7854	+	3.14143i	0.975107	+	0.128786i
$596$	−2.27812	+	11.4019i	−0.0933154	+	0.467038i
$597$	1.34387	−	1.34387i	0.0550011	−	0.0550011i
$598$	44.2063	−	4.87258i	1.80773	−	0.199254i
$599$	31.8420			1.30103			0.650515	−	0.759494i	$-0.274553\pi$
$599$	31.8420			1.30103			0.650515	+	0.759494i	$0.274553\pi$
$600$	2.24374	+	0.685809i	0.0916004	+	0.0279981i
$601$	6.19494	+	10.7300i	0.252697	+	0.437684i	0.964267	−	0.264931i	$-0.0853491\pi$
$601$	6.19494	+	10.7300i	0.252697	+	0.437684i	−0.711571	+	0.702615i	$0.752016\pi$
$602$	1.57072	−	15.8781i	0.0640176	−	0.647142i
$603$	−18.3642	+	18.3642i	−0.747848	+	0.747848i
$604$	35.2088	−	11.9182i	1.43262	−	0.484943i
$605$	−7.00476	−	16.9308i	−0.284784	−	0.688335i
$606$	0.679320	−	1.80257i	0.0275955	−	0.0732244i
$607$	10.7853	−	2.88992i	0.437763	−	0.117298i	−0.0332051	−	0.999449i	$-0.510571\pi$
$607$	10.7853	−	2.88992i	0.437763	−	0.117298i	0.470968	+	0.882150i	$0.343905\pi$
$608$	2.80870	−	5.22777i	0.113908	−	0.212014i
$609$	1.02062	−	0.589257i	0.0413577	−	0.0238779i
$610$	3.18604	−	13.6123i	0.128999	−	0.551148i
$611$	31.0180	−	6.55885i	1.25486	−	0.265343i
$612$	−15.7630	+	1.01961i	−0.637180	+	0.0412152i
$613$	−6.99830	+	26.1180i	−0.282659	+	1.05490i	0.667874	+	0.744274i	$0.267204\pi$
$613$	−6.99830	+	26.1180i	−0.282659	+	1.05490i	−0.950533	+	0.310623i	$0.899462\pi$
$614$	−1.42486	−	8.65331i	−0.0575028	−	0.349219i
$615$	−1.90367	−	0.789451i	−0.0767635	−	0.0318337i
$616$	23.5318	+	44.1613i	0.948124	+	1.77931i
$617$	5.89811	+	22.0120i	0.237449	+	0.886172i	0.977030	+	0.213104i	$0.0683572\pi$
$617$	5.89811	+	22.0120i	0.237449	+	0.886172i	−0.739581	+	0.673068i	$0.764976\pi$
$618$	−2.52844	−	0.250123i	−0.101709	−	0.0100614i
$619$	−26.6932			−1.07289			−0.536444	−	0.843936i	$-0.680233\pi$
$619$	−26.6932			−1.07289			−0.536444	+	0.843936i	$0.680233\pi$
$620$	1.90170	−	5.57893i	0.0763739	−	0.224055i
$621$	−4.32112	−	7.48440i	−0.173401	−	0.300339i
$622$	13.3925	−	18.6723i	0.536989	−	0.748691i
$623$	17.5753	−	17.5753i	0.704141	−	0.704141i
$624$	0.442542	−	2.35140i	0.0177158	−	0.0941311i
$625$	−21.6713	+	12.4641i	−0.866852	+	0.498566i
$626$	6.05556	+	36.7759i	0.242029	+	1.46986i
$627$	−0.197353	+	0.736530i	−0.00788150	+	0.0294142i
$628$	−21.6410	−	10.6952i	−0.863568	−	0.426784i
$629$			2.60577i			0.103899i
$630$	−37.9387	+	1.21001i	−1.51151	+	0.0482080i
$631$	36.4148	+	21.0241i	1.44965	+	0.836956i	0.998460	−	0.0554725i	$-0.0176665\pi$
$631$	36.4148	+	21.0241i	1.44965	+	0.836956i	0.451190	+	0.892428i	$0.351000\pi$
$632$	1.80869	−	5.93501i	0.0719458	−	0.236082i
$633$	−1.51694	+	0.406463i	−0.0602930	+	0.0161555i
$634$	−16.6634	+	2.74381i	−0.661788	+	0.108971i
$635$	−0.828426	−	1.08055i	−0.0328751	−	0.0428804i
$636$	1.99422	−	2.27005i	0.0790761	−	0.0900135i
$637$	1.79159	−	33.5084i	0.0709855	−	1.32765i
$638$	−9.92966	+	4.49395i	−0.393119	+	0.177917i
$639$	−6.22057	−	10.7743i	−0.246082	−	0.426226i
$640$	24.1837	+	7.42619i	0.955945	+	0.293546i
$641$	−10.0032	+	17.3261i	−0.395104	+	0.684340i	−0.993114	−	0.117148i	$-0.962625\pi$
$641$	−10.0032	+	17.3261i	−0.395104	+	0.684340i	0.598011	+	0.801488i	$0.295958\pi$
$642$	−2.46220	+	1.11434i	−0.0971753	+	0.0439794i
$643$	2.79099	+	10.4161i	0.110066	+	0.410772i	0.998871	−	0.0475145i	$-0.0151300\pi$
$643$	2.79099	+	10.4161i	0.110066	+	0.410772i	−0.888805	+	0.458287i	$0.848463\pi$
$644$	22.5859	+	66.7234i	0.890008	+	2.62927i
$645$	0.822013	+	0.631293i	0.0323667	+	0.0248571i
$646$	2.49950	+	3.04831i	0.0983415	+	0.119934i
$647$	8.12719	−	30.3311i	0.319513	−	1.19244i	−0.600201	−	0.799849i	$-0.704913\pi$
$647$	8.12719	−	30.3311i	0.319513	−	1.19244i	0.919714	−	0.392589i	$-0.128420\pi$
$648$	24.1178	−	5.59084i	0.947437	−	0.219629i
$649$		−	10.2083i		−	0.400713i
$650$	15.0728	+	20.5623i	0.591204	+	0.806522i
$651$		−	0.882963i		−	0.0346060i
$652$	−34.8502	+	23.2431i	−1.36484	+	0.910268i
$653$	2.57152	−	9.59705i	0.100631	−	0.375562i	−0.897182	−	0.441662i	$-0.854389\pi$
$653$	2.57152	−	9.59705i	0.100631	−	0.375562i	0.997813	+	0.0661002i	$0.0210557\pi$
$654$	−1.01466	+	0.831985i	−0.0396764	+	0.0325332i
$655$	−12.6179	−	9.69032i	−0.493020	−	0.378632i
$656$	−20.5154	−	8.53895i	−0.800993	−	0.333390i
$657$	−2.47280	−	9.22860i	−0.0964729	−	0.360042i
$658$	20.7049	+	45.7487i	0.807159	+	1.78347i
$659$	−10.7077	+	18.5463i	−0.417112	+	0.722460i	−0.995648	−	0.0931976i	$-0.970291\pi$
$659$	−10.7077	+	18.5463i	−0.417112	+	0.722460i	0.578535	+	0.815657i	$0.303624\pi$
$660$	−3.24328	−	0.216712i	−0.126244	−	0.00843552i
$661$	−19.1113	−	33.1017i	−0.743342	−	1.28751i	−0.950965	−	0.309298i	$-0.899906\pi$
$661$	−19.1113	−	33.1017i	−0.743342	−	1.28751i	0.207623	−	0.978209i	$-0.433427\pi$
$662$	13.5449	+	29.9283i	0.526438	+	1.16320i
$663$	1.33203	+	0.867031i	0.0517317	+	0.0336727i
$664$	−21.9435	−	41.1805i	−0.851573	−	1.59811i
$665$	5.76358	+	7.51769i	0.223502	+	0.291523i
$666$	−0.669814	−	4.06784i	−0.0259548	−	0.157625i
$667$	−14.8204	+	3.97112i	−0.573850	+	0.153763i
$668$	14.2650	−	0.922712i	0.551928	−	0.0357008i
$669$	1.48002	+	0.854492i	0.0572210	+	0.0330366i
$670$	0.880753	+	27.6152i	0.0340265	+	1.06687i
$671$			19.3686i			0.747717i
$672$	3.78799	−	0.115891i	0.146125	−	0.00447061i
$673$	−8.07138	+	30.1228i	−0.311129	+	1.16115i	0.616411	+	0.787425i	$0.288586\pi$
$673$	−8.07138	+	30.1228i	−0.311129	+	1.16115i	−0.927540	+	0.373724i	$0.878081\pi$
$674$	1.59489	−	0.262616i	0.0614329	−	0.0101156i
$675$	2.48067	−	4.28844i	0.0954810	−	0.165062i
$676$	19.1447	−	17.5921i	0.736334	−	0.676618i
$677$	31.9730	−	31.9730i	1.22882	−	1.22882i	0.264413	−	0.964410i	$-0.414822\pi$
$677$	31.9730	−	31.9730i	1.22882	−	1.22882i	0.964410	−	0.264413i	$-0.0851781\pi$
$678$	2.59753	+	1.86305i	0.0997575	+	0.0715498i
$679$	−26.0721	−	45.1583i	−1.00056	−	1.73302i
$680$	−10.6827	+	12.9719i	−0.409663	+	0.497452i
$681$	−2.44604			−0.0937325
$682$	−0.803877	+	8.12625i	−0.0307821	+	0.311170i
$683$	1.38670	+	5.17522i	0.0530605	+	0.198024i	0.987368	−	0.158444i	$-0.0506476\pi$
$683$	1.38670	+	5.17522i	0.0530605	+	0.198024i	−0.934308	+	0.356468i	$0.883981\pi$
$684$	−4.68552	−	4.11619i	−0.179155	−	0.157386i
$685$	−34.9849	−	14.5082i	−1.33671	−	0.554330i
$686$	12.9989	−	2.14041i	0.496300	−	0.0817212i
$687$	−0.431109	+	1.60892i	−0.0164478	+	0.0613841i
$688$	8.85457	+	6.81847i	0.337577	+	0.259952i
$689$	32.1239	−	6.79269i	1.22382	−	0.258781i
$690$	−4.45544	−	1.04282i	−0.169616	−	0.0396994i
$691$	7.14610	−	4.12580i	0.271851	−	0.156953i	−0.357878	−	0.933768i	$-0.616500\pi$
$691$	7.14610	−	4.12580i	0.271851	−	0.156953i	0.629728	+	0.776815i	$0.283166\pi$
$692$	7.45835	+	11.1829i	0.283524	+	0.425111i
$693$	50.7962	−	13.6108i	1.92959	−	0.517032i
$694$	11.7573	+	4.43089i	0.446302	+	0.168194i
$695$	−17.4091	−	42.0786i	−0.660366	−	1.59613i
$696$	−0.0280675	+	0.824981i	−0.00106390	+	0.0312708i
$697$	10.4375	−	10.4375i	0.395347	−	0.395347i
$698$	9.58188	+	0.947874i	0.362680	+	0.0358776i
$699$	0.636098	+	1.10175i	0.0240594	+	0.0416722i
$700$	−26.6766	+	30.3157i	−1.00828	+	1.14583i
$701$	−6.26054			−0.236457			−0.118229	−	0.992986i	$-0.537722\pi$
$701$	−6.26054			−0.236457			−0.118229	+	0.992986i	$0.537722\pi$
$702$	−4.62589	−	2.03159i	−0.174593	−	0.0766775i
$703$	−0.727502	+	0.727502i	−0.0274383	+	0.0274383i
$704$	−34.9678	−	2.38211i	−1.31790	−	0.0897793i
$705$	−3.23388	−	0.427110i	−0.121795	−	0.0160859i
$706$	−19.9604	+	16.3668i	−0.751219	+	0.615972i
$707$	23.4440	+	23.4440i	0.881703	+	0.881703i
$708$	−0.693108	−	0.342541i	−0.0260486	−	0.0128735i
$709$	9.32546	+	5.38406i	0.350225	+	0.202203i	0.664784	−	0.747035i	$-0.268523\pi$
$709$	9.32546	+	5.38406i	0.350225	+	0.202203i	−0.314559	+	0.949238i	$0.601857\pi$
$710$	−12.8873	−	3.01633i	−0.483650	−	0.113201i
$711$	−5.64690	−	3.26024i	−0.211775	−	0.122269i
$712$	3.93145	+	16.9595i	0.147337	+	0.635584i
$713$	−2.97523	+	11.1037i	−0.111423	+	0.415838i
$714$	−0.887754	+	2.35565i	−0.0332234	+	0.0881579i
$715$	−26.8250	−	22.9790i	−1.00320	−	0.859367i
$716$	2.51633	−	2.86438i	0.0940397	−	0.107047i
$717$	2.55620	+	0.684932i	0.0954631	+	0.0255793i
$718$	−39.7391	−	28.5024i	−1.48305	−	1.06370i
$719$	−17.8154	+	30.8572i	−0.664404	+	1.15078i	0.315043	+	0.949077i	$0.397981\pi$
$719$	−17.8154	+	30.8572i	−0.664404	+	1.15078i	−0.979447	+	0.201704i	$0.935352\pi$
$720$	13.3422	−	22.9964i	0.497236	−	0.857025i
$721$	21.8653	−	37.8718i	0.814306	−	1.41042i
$722$	2.49195	−	25.1907i	0.0927408	−	0.937499i
$723$	−2.38277	+	2.38277i	−0.0886161	+	0.0886161i
$724$	−14.5775	−	43.0651i	−0.541770	−	1.60050i
$725$	−6.21431	−	6.22460i	−0.230794	−	0.231176i
$726$	1.89697	−	0.312357i	0.0704033	−	0.0115927i
$727$	3.29570	+	3.29570i	0.122231	+	0.122231i	0.765576	−	0.643345i	$-0.222454\pi$
$727$	3.29570	+	3.29570i	0.122231	+	0.122231i	−0.643345	+	0.765576i	$0.722454\pi$
$728$	33.7301	+	23.6260i	1.25012	+	0.875640i
$729$		−	25.5251i		−	0.945373i
$730$	−8.95999	−	4.79892i	−0.331624	−	0.177616i
$731$	−6.42894	+	3.71175i	−0.237783	+	0.137284i
$732$	1.31505	+	0.649913i	0.0486058	+	0.0240215i
$733$	−30.3056	−	30.3056i	−1.11936	−	1.11936i	−0.991835	−	0.127526i	$-0.959296\pi$
$733$	−30.3056	−	30.3056i	−1.11936	−	1.11936i	−0.127526	−	0.991835i	$-0.540704\pi$
$734$	17.0610	−	13.9894i	0.629732	−	0.516357i
$735$	−1.32255	+	3.18919i	−0.0487830	+	0.117635i
$736$	−48.0265	−	11.3066i	−1.77028	−	0.416768i
$737$	−9.90715	−	36.9740i	−0.364935	−	1.36195i
$738$	−13.6109	+	18.9768i	−0.501023	+	0.698546i
$739$	14.7467	+	25.5420i	0.542465	+	0.939577i	0.998762	+	0.0497490i	$0.0158421\pi$
$739$	14.7467	+	25.5420i	0.542465	+	0.939577i	−0.456297	+	0.889828i	$0.650825\pi$
$740$	−3.64361	−	2.44128i	−0.133942	−	0.0897432i
$741$	0.129822	+	0.613954i	0.00476914	+	0.0225542i
$742$	21.4430	+	47.3797i	0.787198	+	1.73936i
$743$	−7.50207	−	2.01017i	−0.275224	−	0.0737461i	0.118567	−	0.992946i	$-0.462170\pi$
$743$	−7.50207	−	2.01017i	−0.275224	−	0.0737461i	−0.393791	+	0.919200i	$0.628837\pi$
$744$	0.524767	+	0.327256i	0.0192389	+	0.0119978i
$745$	12.0121	−	4.96977i	0.440091	−	0.182078i
$746$	−8.38559	−	3.16021i	−0.307018	−	0.115704i
$747$	−47.3676	+	12.6921i	−1.73309	+	0.464380i
$748$	10.3150	−	20.8717i	0.377154	−	0.763145i
$749$		−	46.5161i		−	1.69966i
$750$	−0.757267	−	2.51146i	−0.0276515	−	0.0917056i
$751$	−14.2732	+	8.24063i	−0.520836	+	0.300705i	−0.737277	−	0.675591i	$-0.763889\pi$
$751$	−14.2732	+	8.24063i	−0.520836	+	0.300705i	0.216440	+	0.976296i	$0.430555\pi$
$752$	−34.8635	−	4.65060i	−1.27134	−	0.169590i
$753$	−1.25883	−	1.25883i	−0.0458742	−	0.0458742i
$754$	−5.60955	+	6.99935i	−0.204288	+	0.254901i
$755$	−32.9602	−	25.3130i	−1.19955	−	0.921233i
$756$	1.56791	−	7.84732i	0.0570245	−	0.285404i
$757$	12.6807	+	3.39778i	0.460888	+	0.123495i	0.481790	−	0.876287i	$-0.339987\pi$
$757$	12.6807	+	3.39778i	0.460888	+	0.123495i	−0.0209015	+	0.999782i	$0.506654\pi$
$758$	2.78435	−	28.1464i	0.101132	−	1.02232i
$759$	6.33952			0.230110
$760$	−6.60413	+	0.639130i	−0.239557	+	0.0231837i
$761$	−9.19562	+	15.9273i	−0.333341	+	0.577364i	−0.983165	−	0.182721i	$-0.941509\pi$
$761$	−9.19562	+	15.9273i	−0.333341	+	0.577364i	0.649824	+	0.760085i	$0.274843\pi$
$762$	0.130155	−	0.0589053i	0.00471502	−	0.00213391i
$763$	−5.84517	−	21.8145i	−0.211609	−	0.789737i
$764$	3.55109	−	17.7730i	0.128474	−	0.643006i
$765$	10.7451	+	14.0154i	0.388492	+	0.506726i
$766$	11.5536	−	30.6574i	0.417450	−	1.10770i
$767$	−3.80617	−	7.48958i	−0.137433	−	0.270433i
$768$	−1.33508	+	2.29425i	−0.0481756	+	0.0827867i
$769$	−2.31071	+	1.33409i	−0.0833262	+	0.0481084i	−0.541084	−	0.840968i	$-0.681986\pi$
$769$	−2.31071	+	1.33409i	−0.0833262	+	0.0481084i	0.457758	+	0.889077i	$0.348653\pi$
$770$	26.4143	−	49.3177i	0.951905	−	1.77729i
$771$	−1.56606	−	0.904166i	−0.0564003	−	0.0325627i
$772$	−26.3836	+	1.70659i	−0.949568	+	0.0614217i
$773$	23.5842	−	6.31938i	0.848266	−	0.227292i	0.191600	−	0.981473i	$-0.438632\pi$
$773$	23.5842	−	6.31938i	0.848266	−	0.227292i	0.656667	+	0.754181i	$0.271966\pi$
$774$	9.08205	−	7.44694i	0.326447	−	0.267675i
$775$	−6.36671	+	1.70031i	−0.228699	+	0.0610769i
$776$	36.5019	+	1.24187i	1.31034	+	0.0445806i
$777$	−0.634629	−	0.170048i	−0.0227672	−	0.00610045i
$778$	30.3707	−	42.3440i	1.08884	−	1.51811i
$779$	5.82806			0.208812
$780$	−2.46030	+	1.05026i	−0.0880930	+	0.0376052i
$781$	18.3369			0.656146
$782$	19.1016	−	26.6321i	0.683071	−	0.952363i
$783$	1.68364	+	0.451129i	0.0601682	+	0.0161220i
$784$	−14.3051	+	34.3691i	−0.510898	+	1.22747i
$785$	3.51167	+	26.7594i	0.125337	+	0.955084i
$786$	1.29085	−	1.05845i	0.0460432	−	0.0377537i
$787$	−27.9921	+	7.50047i	−0.997812	+	0.267363i	−0.720528	−	0.693425i	$-0.756101\pi$
$787$	−27.9921	+	7.50047i	−0.997812	+	0.267363i	−0.277283	+	0.960788i	$0.589434\pi$
$788$	1.91901	+	29.6675i	0.0683619	+	1.05686i
$789$	0.621254	+	0.358681i	0.0221172	+	0.0127694i
$790$	−6.63983	+	2.00807i	−0.236234	+	0.0714438i
$791$	−47.6467	+	27.5088i	−1.69412	+	0.978102i
$792$	−10.7376	+	35.2341i	−0.381543	+	1.25199i
$793$	7.22156	+	14.2102i	0.256445	+	0.504619i
$794$	−7.72977	+	20.5109i	−0.274319	+	0.727904i
$795$	−3.34917	−	0.442337i	−0.118783	−	0.0156881i
$796$	−22.4673	−	4.48902i	−0.796333	−	0.159109i
$797$	−10.1684	−	37.9491i	−0.360184	−	1.34423i	−0.873833	−	0.486226i	$-0.838373\pi$
$797$	−10.1684	−	37.9491i	−0.360184	−	1.34423i	0.513649	−	0.858000i	$-0.328293\pi$
$798$	−0.905524	+	0.409820i	−0.0320552	+	0.0145075i
$799$	11.6817	−	20.2334i	0.413270	−	0.715805i
$800$	−8.13013	−	27.0906i	−0.287443	−	0.957798i
$801$	18.2959			0.646452
$802$	−4.16387	+	42.0917i	−0.147031	+	1.48631i
$803$	13.6020	+	3.64463i	0.480003	+	0.128616i
$804$	−2.84283	−	0.568004i	−0.100259	−	0.0200320i
$805$	47.9701	−	62.4623i	1.69072	−	2.20151i
$806$	2.44008	+	6.26172i	0.0859481	+	0.220560i
$807$	−0.178217	−	0.178217i	−0.00627353	−	0.00627353i
$808$	−22.6225	+	5.24421i	−0.795858	+	0.184491i
$809$	−22.1160	+	12.7687i	−0.777556	+	0.448922i	−0.835564	−	0.549394i	$-0.814859\pi$
$809$	−22.1160	+	12.7687i	−0.777556	+	0.448922i	0.0580072	+	0.998316i	$0.481525\pi$
$810$	−20.1864	−	18.9385i	−0.709277	−	0.665432i
$811$		−	7.09300i		−	0.249069i	−0.992215	−	0.124534i	$-0.960256\pi$
$811$		−	7.09300i		−	0.249069i	0.992215	−	0.124534i	$-0.0397437\pi$
$812$	−12.7368	−	6.29464i	−0.446973	−	0.220899i
$813$	2.20326	−	0.590361i	0.0772716	−	0.0207049i
$814$	5.68592	+	2.14281i	0.199291	+	0.0751054i
$815$	43.2620	+	17.9407i	1.51540	+	0.628435i
$816$	−1.07099	−	1.40070i	−0.0374921	−	0.0490343i
$817$	−2.83117	−	0.758610i	−0.0990502	−	0.0265404i
$818$	−10.3030	−	22.7651i	−0.360236	−	0.795964i
$819$	32.1930	−	28.9252i	1.12491	−	1.01073i
$820$	4.81596	+	24.3732i	0.168181	+	0.851149i
$821$	11.9820	+	20.7534i	0.418174	+	0.724299i	0.995756	−	0.0920338i	$-0.0293368\pi$
$821$	11.9820	+	20.7534i	0.418174	+	0.724299i	−0.577582	+	0.816333i	$0.696003\pi$
$822$	2.31612	−	3.22922i	0.0807840	−	0.112632i
$823$	2.23171	+	8.32887i	0.0777926	+	0.290326i	0.993852	−	0.110717i	$-0.0353146\pi$
$823$	2.23171	+	8.32887i	0.0777926	+	0.290326i	−0.916059	+	0.401043i	$0.868648\pi$
$824$	14.4041	+	27.0317i	0.501792	+	0.941693i
$825$	1.81448	+	3.14880i	0.0631722	+	0.109627i
$826$	10.2898	−	8.43729i	0.358029	−	0.293571i
$827$	−16.6534	−	16.6534i	−0.579095	−	0.579095i	0.355559	−	0.934654i	$-0.384291\pi$
$827$	−16.6534	−	16.6534i	−0.579095	−	0.579095i	−0.934654	+	0.355559i	$0.884291\pi$
$828$	−22.9735	+	46.4853i	−0.798384	+	1.61547i
$829$	−14.7971	+	8.54312i	−0.513925	+	0.296715i	−0.734446	−	0.678668i	$-0.762558\pi$
$829$	−14.7971	+	8.54312i	−0.513925	+	0.296715i	0.220521	+	0.975382i	$0.429224\pi$
$830$	−24.6314	+	45.9889i	−0.854968	+	1.59630i
$831$			1.18870i			0.0412354i
$832$	−26.5431	+	11.2900i	−0.920216	+	0.391411i
$833$	−17.4857	−	17.4857i	−0.605843	−	0.605843i
$834$	4.71460	−	0.776311i	0.163253	−	0.0268815i
$835$	−9.72400	−	12.6834i	−0.336513	−	0.438928i
$836$	8.70699	−	2.94732i	0.301138	−	0.101935i
$837$	0.923415	−	0.923415i	0.0319179	−	0.0319179i
$838$	2.39443	−	24.2049i	0.0827142	−	0.836143i
$839$	−18.5133	+	32.0660i	−0.639151	+	1.10704i	0.346468	+	0.938062i	$0.387381\pi$
$839$	−18.5133	+	32.0660i	−0.639151	+	1.10704i	−0.985619	+	0.168981i	$0.945952\pi$
$840$	−2.46216	−	3.44829i	−0.0849524	−	0.118977i
$841$	−12.9527	+	22.4348i	−0.446646	+	0.773614i
$842$	12.1519	+	8.71582i	0.418783	+	0.300367i
$843$	−3.15583	−	0.845603i	−0.108693	−	0.0291241i
$844$	14.2233	+	12.4951i	0.489587	+	0.430099i
$845$	−28.2485	−	6.85738i	−0.971777	−	0.235901i
$846$	−13.0352	+	34.5889i	−0.448161	+	1.18919i
$847$	−8.56414	+	31.9618i	−0.294267	+	1.09822i
$848$	−36.1065	−	4.81641i	−1.23990	−	0.165396i
$849$	−3.02464	−	1.74628i	−0.103805	−	0.0599321i
$850$	18.6952	+	1.86503i	0.641241	+	0.0639699i
$851$	7.40780	+	4.27690i	0.253936	+	0.146610i
$852$	0.615294	−	1.24501i	0.0210796	−	0.0426532i
$853$	−12.4709	−	12.4709i	−0.426996	−	0.426996i	0.460608	−	0.887604i	$-0.347631\pi$
$853$	−12.4709	−	12.4709i	−0.426996	−	0.426996i	−0.887604	+	0.460608i	$0.847631\pi$
$854$	−19.5232	+	16.0083i	−0.668071	+	0.547794i
$855$	−0.913008	+	6.91287i	−0.0312242	+	0.236415i
$856$	27.6457	+	17.2404i	0.944910	+	0.589266i
$857$	−9.31387	+	9.31387i	−0.318156	+	0.318156i	−0.848058	−	0.529903i	$-0.822228\pi$
$857$	−9.31387	+	9.31387i	−0.318156	+	0.318156i	0.529903	+	0.848058i	$0.322228\pi$
$858$	2.98728	−	2.19357i	0.101984	−	0.0748872i
$859$	−5.40656			−0.184469			−0.0922347	−	0.995737i	$-0.529401\pi$
$859$	−5.40656			−0.184469			−0.0922347	+	0.995737i	$0.529401\pi$
$860$	0.833028	−	12.4669i	0.0284060	−	0.425119i
$861$	1.86089	+	3.22316i	0.0634190	+	0.109845i
$862$	−46.6401	−	4.61380i	−1.58857	−	0.157147i
$863$	−18.7860	+	18.7860i	−0.639482	+	0.639482i	−0.950428	−	0.310946i	$-0.899354\pi$
$863$	−18.7860	+	18.7860i	−0.639482	+	0.639482i	0.310946	+	0.950428i	$0.399354\pi$
$864$	4.08274	+	3.84034i	0.138898	+	0.130651i
$865$	5.75690	−	13.8821i	0.195741	−	0.472007i
$866$	3.16065	+	1.19113i	0.107403	+	0.0404763i
$867$	−1.59291	+	0.426819i	−0.0540981	+	0.0144955i
$868$	−8.85553	+	5.90612i	−0.300576	+	0.200467i
$869$	8.32293	−	4.80524i	0.282336	−	0.163007i
$870$	0.784130	−	0.486689i	0.0265845	−	0.0165003i
$871$	−21.0543	−	23.4329i	−0.713398	−	0.793994i
$872$	15.1313	+	4.61126i	0.512411	+	0.156157i
$873$	9.93429	−	37.0753i	0.336225	−	1.25481i
$874$	12.7684	−	2.10245i	0.431897	−	0.0711165i
$875$	44.7545	+	5.94859i	1.51298	+	0.201099i
$876$	0.703870	−	0.801226i	0.0237816	−	0.0270709i
$877$	−4.85250	−	18.1098i	−0.163857	−	0.611523i	−0.998183	−	0.0602519i	$-0.980810\pi$
$877$	−4.85250	−	18.1098i	−0.163857	−	0.611523i	0.834326	−	0.551271i	$-0.185857\pi$
$878$	−0.922146	+	9.32180i	−0.0311209	+	0.314596i
$879$	−3.89869			−0.131500
$880$	19.5207	+	33.9775i	0.658044	+	1.14538i
$881$	1.25826	+	2.17937i	0.0423919	+	0.0734248i	0.886443	−	0.462838i	$-0.153169\pi$
$881$	1.25826	+	2.17937i	0.0423919	+	0.0734248i	−0.844051	+	0.536263i	$0.819836\pi$
$882$	31.7915	+	22.8020i	1.07047	+	0.767785i
$883$	−12.1044	+	12.1044i	−0.407345	+	0.407345i	−0.880812	−	0.473467i	$-0.843002\pi$
$883$	−12.1044	+	12.1044i	−0.407345	+	0.407345i	0.473467	+	0.880812i	$0.343002\pi$
$884$	−0.214162	−	19.1589i	−0.00720303	−	0.644384i
$885$	0.112471	+	0.857039i	0.00378065	+	0.0288091i
$886$	27.5468	−	4.53588i	0.925452	−	0.152386i
$887$	11.7008	−	43.6679i	0.392874	−	1.46623i	−0.432497	−	0.901635i	$-0.642367\pi$
$887$	11.7008	−	43.6679i	0.392874	−	1.46623i	0.825371	−	0.564590i	$-0.190966\pi$
$888$	0.336279	−	0.314150i	0.0112848	−	0.0105422i
$889$			2.45890i			0.0824688i
$890$	13.3175	−	14.1949i	0.446402	−	0.475815i
$891$	33.2104	+	19.1740i	1.11259	+	0.642354i
$892$	−1.32986	−	20.5593i	−0.0445269	−	0.688377i
$893$	8.91035	−	2.38752i	0.298174	−	0.0798954i
$894$	0.221613	+	1.34587i	0.00741184	+	0.0450127i
$895$	−4.22601	−	0.558145i	−0.141260	−	0.0186567i
$896$	−26.5001	−	37.2158i	−0.885306	−	1.24329i
$897$	4.65112	−	2.36368i	0.155297	−	0.0789210i
$898$	1.53437	+	3.39029i	0.0512026	+	0.113135i
$899$	−1.15924	−	2.00786i	−0.0386628	−	0.0669659i
$900$	−29.6644	+	1.89415i	−0.988812	+	0.0631382i
$901$	12.0982	−	20.9547i	0.403050	−	0.698102i
$902$	−14.1920	−	31.3582i	−0.472543	−	1.04411i
$903$	−0.484446	−	1.80798i	−0.0161214	−	0.0601658i
$904$	1.31030	−	38.5134i	0.0435800	−	1.28094i
$905$	−30.9612	+	40.3149i	−1.02919	+	1.34011i
$906$	3.37196	−	2.76488i	0.112026	−	0.0918569i
$907$	6.56952	−	24.5178i	0.218137	−	0.814099i	−0.766901	−	0.641765i	$-0.778202\pi$
$907$	6.56952	−	24.5178i	0.218137	−	0.814099i	0.985039	−	0.172334i	$-0.0551309\pi$
$908$	16.3615	+	24.5322i	0.542976	+	0.814129i
$909$			24.4051i			0.809466i
$910$	0.991356	−	46.0316i	0.0328631	−	1.52593i
$911$		−	54.7758i		−	1.81480i	−0.420264	−	0.907402i	$-0.638062\pi$
$911$		−	54.7758i		−	1.81480i	0.420264	−	0.907402i	$-0.361938\pi$
$912$	0.0920515	−	0.690069i	0.00304813	−	0.0228505i
$913$	18.7068	−	69.8147i	0.619105	−	2.31053i
$914$	−1.61578	−	1.97055i	−0.0534452	−	0.0651800i
$915$	−0.213394	−	1.62609i	−0.00705458	−	0.0537568i
$916$	19.0201	−	6.43830i	0.628441	−	0.212727i
$917$	7.43623	+	27.7524i	0.245566	+	0.916464i
$918$	−3.39200	+	1.53514i	−0.111953	+	0.0506673i
$919$	−4.11588	+	7.12891i	−0.135770	+	0.235161i	−0.925891	−	0.377790i	$-0.876684\pi$
$919$	−4.11588	+	7.12891i	−0.135770	+	0.235161i	0.790121	+	0.612951i	$0.210018\pi$
$920$	19.3436	+	51.6605i	0.637738	+	1.70320i
$921$	−0.514397	−	0.890962i	−0.0169500	−	0.0293582i
$922$	0.230334	−	0.104244i	0.00758565	−	0.00343310i
$923$	13.4533	−	6.83689i	0.442820	−	0.225039i
$924$	4.41012	+	3.87425i	0.145082	+	0.127454i
$925$	−0.00405918	+	4.90353i	−0.000133465	+	0.161227i
$926$	−14.7946	+	2.43610i	−0.486182	+	0.0800552i
$927$	31.0930	−	8.33134i	1.02123	−	0.273637i
$928$	8.46175	−	5.23678i	0.277771	−	0.171906i
$929$	−0.0175846	−	0.0101525i	−0.000576932	−	0.000333092i	0.499712	−	0.866192i	$-0.333439\pi$
$929$	−0.0175846	−	0.0101525i	−0.000576932	−	0.000333092i	−0.500288	+	0.865859i	$0.666773\pi$
$930$	−0.0220416	−	0.691094i	−0.000722773	−	0.0226619i
$931$		−	9.76364i		−	0.319990i
$932$	6.79502	−	13.7492i	0.222578	−	0.450372i
$933$	0.697679	−	2.60377i	0.0228410	−	0.0852437i
$934$	0.322583	+	1.95907i	0.0105552	+	0.0641028i
$935$	−25.8082	+	3.38685i	−0.844018	+	0.110762i
$936$	5.25914	+	29.8537i	0.171900	+	0.975800i
$937$	−33.6391	+	33.6391i	−1.09894	+	1.09894i	−0.104408	+	0.994535i	$0.533295\pi$
$937$	−33.6391	+	33.6391i	−1.09894	+	1.09894i	−0.994535	+	0.104408i	$0.966705\pi$
$938$	29.0808	−	40.5456i	0.949523	−	1.32386i
$939$	2.18615	+	3.78653i	0.0713424	+	0.123569i
$940$	17.3477	+	35.2906i	0.565819	+	1.15105i
$941$	−35.8926			−1.17006			−0.585032	−	0.811010i	$-0.698918\pi$
$941$	−35.8926			−1.17006			−0.585032	+	0.811010i	$0.698918\pi$
$942$	−2.81807	−	0.278774i	−0.0918177	−	0.00908294i
$943$	−12.5409	−	46.8034i	−0.408389	−	1.52413i
$944$	1.20073	+	9.24266i	0.0390803	+	0.300823i
$945$	−8.26735	+	3.42044i	−0.268937	+	0.111267i
$946$	2.81251	+	17.0806i	0.0914424	+	0.555337i
$947$	−0.116383	+	0.434348i	−0.00378195	+	0.0141144i	−0.967791	−	0.251755i	$-0.918992\pi$
$947$	−0.116383	+	0.434348i	−0.00378195	+	0.0141144i	0.964009	+	0.265869i	$0.0856590\pi$
$948$	−0.0469821	−	0.726335i	−0.00152591	−	0.0235903i
$949$	11.3383	−	2.39751i	0.368056	−	0.0778265i
$950$	4.69881	+	5.74021i	0.152450	+	0.186237i
$951$	−1.71570	+	0.990558i	−0.0556353	+	0.0321211i
$952$	29.5638	−	6.85329i	0.958167	−	0.222116i
$953$	−47.7941	+	12.8064i	−1.54820	+	0.414840i	−0.928906	−	0.370317i	$-0.879249\pi$
$953$	−47.7941	+	12.8064i	−1.54820	+	0.414840i	−0.619297	+	0.785156i	$0.712582\pi$
$954$	−13.5000	+	35.8220i	−0.437078	+	1.15978i
$955$	−18.7243	+	7.74680i	−0.605905	+	0.250680i
$956$	−10.2290	−	30.2185i	−0.330828	−	0.977336i
$957$	−0.904106	+	0.904106i	−0.0292256	+	0.0292256i
$958$	−3.62636	+	36.6582i	−0.117162	+	1.18437i
$959$	34.1987	+	59.2339i	1.10433	+	1.91276i
$960$	2.96196	−	0.185269i	0.0955969	−	0.00597952i
$961$	29.2630			0.943966
$962$	4.97054	−	0.547871i	0.160257	−	0.0176641i
$963$	24.2115	−	24.2115i	0.780205	−	0.780205i
$964$	39.8359	+	7.95930i	1.28303	+	0.256352i
$965$	17.9849	+	23.4585i	0.578956	+	0.755157i
$966$	5.23967	+	6.39013i	0.168584	+	0.205599i
$967$	30.9943	+	30.9943i	0.996708	+	0.996708i	0.999995	−	0.00328642i	$-0.00104610\pi$
$967$	30.9943	+	30.9943i	0.996708	+	0.996708i	−0.00328642	+	0.999995i	$0.501046\pi$
$968$	−15.8215	−	16.9360i	−0.508524	−	0.544344i
$969$	0.400488	+	0.231222i	0.0128655	+	0.00742791i
$970$	−21.5339	−	34.6945i	−0.691413	−	1.11397i
$971$	22.3829	+	12.9228i	0.718303	+	0.414712i	0.814128	−	0.580686i	$-0.197216\pi$
$971$	22.3829	+	12.9228i	0.718303	+	0.414712i	−0.0958251	+	0.995398i	$0.530549\pi$
$972$	7.36220	−	4.91015i	0.236143	−	0.157493i
$973$	−21.2847	+	79.4357i	−0.682357	+	2.54659i
$974$	4.14825	+	1.56332i	0.132918	+	0.0500919i
$975$	2.50526	+	1.63365i	0.0802326	+	0.0523188i
$976$	−2.27817	−	17.5364i	−0.0729225	−	0.561326i
$977$	−1.68725	−	0.452097i	−0.0539799	−	0.0144639i	0.231728	−	0.972781i	$-0.425562\pi$
$977$	−1.68725	−	0.452097i	−0.0539799	−	0.0144639i	−0.285708	+	0.958317i	$0.592229\pi$
$978$	−2.86409	+	3.99323i	−0.0915836	+	0.127689i
$979$	−13.4831	+	23.3533i	−0.430920	+	0.746376i
$980$	40.8319	−	8.06809i	1.30433	−	0.257726i
$981$	8.31198	−	14.3968i	0.265381	−	0.459654i
$982$	2.71555	+	0.268632i	0.0866568	+	0.00857240i
$983$	−22.3263	+	22.3263i	−0.712098	+	0.712098i	−0.966974	−	0.254876i	$-0.917965\pi$
$983$	−22.3263	+	22.3263i	−0.712098	+	0.712098i	0.254876	+	0.966974i	$0.417965\pi$
$984$	−2.60532	−	0.0886382i	−0.0830544	−	0.00282568i
$985$	26.3783	−	20.2235i	0.840484	−	0.644374i
$986$	1.07397	+	6.52228i	0.0342020	+	0.207712i
$987$	4.16546	+	4.16546i	0.132588	+	0.132588i
$988$	5.28917	−	5.40875i	0.168271	−	0.172075i
$989$			24.3687i			0.774879i
$990$	39.4183	−	11.9212i	1.25280	−	0.378880i
$991$	−11.4109	+	6.58810i	−0.362480	+	0.209278i	−0.670168	−	0.742209i	$-0.733778\pi$
$991$	−11.4109	+	6.58810i	−0.362480	+	0.209278i	0.307688	+	0.951487i	$0.400445\pi$
$992$	−0.227992	−	7.45207i	−0.00723876	−	0.236604i
$993$	2.72500	+	2.72500i	0.0864753	+	0.0864753i
$994$	15.1556	+	18.4833i	0.480707	+	0.586254i
$995$	9.79291	+	23.6699i	0.310456	+	0.750385i
$996$	−4.11245	−	3.61275i	−0.130308	−	0.114474i
$997$	6.52516	+	24.3522i	0.206654	+	0.771243i	0.988939	+	0.148322i	$0.0473873\pi$
$997$	6.52516	+	24.3522i	0.206654	+	0.771243i	−0.782285	+	0.622920i	$0.785946\pi$
$998$	−11.4165	−	8.18833i	−0.361383	−	0.259197i
$999$	−0.485865	−	0.841544i	−0.0153721	−	0.0266253i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bj.c.3.8	yes	144
4.3	odd	2	inner	260.2.bj.c.3.2	✓	144
5.2	odd	4	inner	260.2.bj.c.107.26	yes	144
13.9	even	3	inner	260.2.bj.c.243.17	yes	144
20.7	even	4	inner	260.2.bj.c.107.17	yes	144
52.35	odd	6	inner	260.2.bj.c.243.26	yes	144
65.22	odd	12	inner	260.2.bj.c.87.2	yes	144
260.87	even	12	inner	260.2.bj.c.87.8	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bj.c.3.2	✓	144	4.3	odd	2	inner
260.2.bj.c.3.8	yes	144	1.1	even	1	trivial
260.2.bj.c.87.2	yes	144	65.22	odd	12	inner
260.2.bj.c.87.8	yes	144	260.87	even	12	inner
260.2.bj.c.107.17	yes	144	20.7	even	4	inner
260.2.bj.c.107.26	yes	144	5.2	odd	4	inner
260.2.bj.c.243.17	yes	144	13.9	even	3	inner
260.2.bj.c.243.26	yes	144	52.35	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.bj (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14919 - 0.824240i) q^{2} +(-0.160249 - 0.0429387i) q^{3} +(0.641258 + 1.89441i) q^{4} +(1.36197 - 1.77343i) q^{5} +(0.148765 + 0.181428i) q^{6} +(-3.90057 + 1.04516i) q^{7} +(0.824524 - 2.70558i) q^{8} +(-2.57424 - 1.48624i) q^{9} +O(q^{10})\)	\(q+(-1.14919 - 0.824240i) q^{2} +(-0.160249 - 0.0429387i) q^{3} +(0.641258 + 1.89441i) q^{4} +(1.36197 - 1.77343i) q^{5} +(0.148765 + 0.181428i) q^{6} +(-3.90057 + 1.04516i) q^{7} +(0.824524 - 2.70558i) q^{8} +(-2.57424 - 1.48624i) q^{9} +(-3.02688 + 0.915413i) q^{10} +(3.79415 - 2.19056i) q^{11} +(-0.0214176 - 0.331113i) q^{12} +(1.96692 - 3.02179i) q^{13} +(5.34394 + 2.01393i) q^{14} +(-0.294403 + 0.225710i) q^{15} +(-3.17758 + 2.42961i) q^{16} +(-0.687689 - 2.56649i) q^{17} +(1.73326 + 3.82976i) q^{18} +(0.524542 - 0.908533i) q^{19} +(4.23297 + 1.44290i) q^{20} +0.669942 q^{21} +(-6.16573 - 0.609936i) q^{22} +(-8.42487 - 2.25744i) q^{23} +(-0.248303 + 0.398163i) q^{24} +(-1.29010 - 4.83070i) q^{25} +(-4.75104 + 1.85139i) q^{26} +(0.700635 + 0.700635i) q^{27} +(-4.48123 - 6.71907i) q^{28} +(1.52345 - 0.879564i) q^{29} +(0.524362 - 0.0167239i) q^{30} -1.31797i q^{31} +(5.65421 - 0.172987i) q^{32} +(-0.702070 + 0.188119i) q^{33} +(-1.32512 + 3.51620i) q^{34} +(-3.45894 + 8.34086i) q^{35} +(1.16479 - 5.82973i) q^{36} +(-0.947290 - 0.253826i) q^{37} +(-1.35165 + 0.611725i) q^{38} +(-0.444949 + 0.399784i) q^{39} +(-3.67518 - 5.14714i) q^{40} +(2.77769 + 4.81110i) q^{41} +(-0.769888 - 0.552193i) q^{42} +(-0.723117 - 2.69871i) q^{43} +(6.58284 + 5.78297i) q^{44} +(-6.14176 + 2.54102i) q^{45} +(7.82108 + 9.53833i) q^{46} +(6.21765 + 6.21765i) q^{47} +(0.613529 - 0.252902i) q^{48} +(8.05995 - 4.65341i) q^{49} +(-2.49909 + 6.61472i) q^{50} +0.440807i q^{51} +(6.98582 + 1.78840i) q^{52} +(6.43932 + 6.43932i) q^{53} +(-0.227669 - 1.38265i) q^{54} +(1.28271 - 9.71212i) q^{55} +(-0.388364 + 11.4151i) q^{56} +(-0.123069 + 0.123069i) q^{57} +(-2.47570 - 0.244905i) q^{58} +(1.16504 - 2.01791i) q^{59} +(-0.616375 - 0.412981i) q^{60} +(-2.21047 + 3.82864i) q^{61} +(-1.08632 + 1.51459i) q^{62} +(11.5944 + 3.10670i) q^{63} +(-6.64032 - 4.46163i) q^{64} +(-2.68006 - 7.60377i) q^{65} +(0.961864 + 0.362490i) q^{66} +(2.26133 - 8.43941i) q^{67} +(4.42100 - 2.94855i) q^{68} +(1.25315 + 0.723506i) q^{69} +(10.8498 - 6.73420i) q^{70} +(3.62470 + 2.09272i) q^{71} +(-6.14366 + 5.73937i) q^{72} +(2.27279 + 2.27279i) q^{73} +(0.879400 + 1.07249i) q^{74} +(-0.000686676 + 0.829511i) q^{75} +(2.05750 + 0.411093i) q^{76} +(-12.5099 + 12.5099i) q^{77} +(0.840847 - 0.0926812i) q^{78} +2.19362 q^{79} +(-0.0190148 + 8.94425i) q^{80} +(4.37652 + 7.58036i) q^{81} +(0.773418 - 7.81834i) q^{82} +(11.6655 - 11.6655i) q^{83} +(0.429605 + 1.26914i) q^{84} +(-5.48810 - 2.27591i) q^{85} +(-1.39339 + 3.69734i) q^{86} +(-0.281899 + 0.0755346i) q^{87} +(-2.79835 - 12.0715i) q^{88} +(-5.33046 + 3.07754i) q^{89} +(9.15244 + 2.14218i) q^{90} +(-4.51386 + 13.8425i) q^{91} +(-1.12600 - 17.4078i) q^{92} +(-0.0565919 + 0.211204i) q^{93} +(-2.02040 - 12.2701i) q^{94} +(-0.896810 - 2.16763i) q^{95} +(-0.913511 - 0.215063i) q^{96} +(3.34209 + 12.4729i) q^{97} +(-13.0979 - 1.29569i) q^{98} -13.0227 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Introduction

L-functions

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