LMFDB - Embedded newform 260.2.bj.c.3.2

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			3.2
Character	$\chi$	$=$	260.3
Dual form			260.2.bj.c.87.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40734 + 0.139220i) q^{2} +(0.160249 + 0.0429387i) q^{3} +(1.96124 - 0.391860i) q^{4} +(1.36197 - 1.77343i) q^{5} +(-0.231504 - 0.0381197i) q^{6} +(3.90057 - 1.04516i) q^{7} +(-2.70558 + 0.824524i) q^{8} +(-2.57424 - 1.48624i) q^{9} +O(q^{10})$	\(q+(-1.40734 + 0.139220i) q^{2} +(0.160249 + 0.0429387i) q^{3} +(1.96124 - 0.391860i) q^{4} +(1.36197 - 1.77343i) q^{5} +(-0.231504 - 0.0381197i) q^{6} +(3.90057 - 1.04516i) q^{7} +(-2.70558 + 0.824524i) q^{8} +(-2.57424 - 1.48624i) q^{9} +(-1.66986 + 2.68544i) q^{10} +(-3.79415 + 2.19056i) q^{11} +(0.331113 + 0.0214176i) q^{12} +(1.96692 - 3.02179i) q^{13} +(-5.34394 + 2.01393i) q^{14} +(0.294403 - 0.225710i) q^{15} +(3.69289 - 1.53706i) q^{16} +(-0.687689 - 2.56649i) q^{17} +(3.82976 + 1.73326i) q^{18} +(-0.524542 + 0.908533i) q^{19} +(1.97620 - 4.01181i) q^{20} +0.669942 q^{21} +(5.03471 - 3.61109i) q^{22} +(8.42487 + 2.25744i) q^{23} +(-0.468971 + 0.0159554i) q^{24} +(-1.29010 - 4.83070i) q^{25} +(-2.34744 + 4.52654i) q^{26} +(-0.700635 - 0.700635i) q^{27} +(7.24039 - 3.57827i) q^{28} +(1.52345 - 0.879564i) q^{29} +(-0.382903 + 0.358638i) q^{30} +1.31797i q^{31} +(-4.98318 + 2.67729i) q^{32} +(-0.702070 + 0.188119i) q^{33} +(1.32512 + 3.51620i) q^{34} +(3.45894 - 8.34086i) q^{35} +(-5.63109 - 1.90612i) q^{36} +(-0.947290 - 0.253826i) q^{37} +(0.611725 - 1.35165i) q^{38} +(0.444949 - 0.399784i) q^{39} +(-2.22267 + 5.92113i) q^{40} +(2.77769 + 4.81110i) q^{41} +(-0.942839 + 0.0932690i) q^{42} +(0.723117 + 2.69871i) q^{43} +(-6.58284 + 5.78297i) q^{44} +(-6.14176 + 2.54102i) q^{45} +(-12.1710 - 2.00409i) q^{46} +(-6.21765 - 6.21765i) q^{47} +(0.657783 - 0.0877446i) q^{48} +(8.05995 - 4.65341i) q^{49} +(2.48814 + 6.61885i) q^{50} -0.440807i q^{51} +(2.67347 - 6.69721i) q^{52} +(6.43932 + 6.43932i) q^{53} +(1.08358 + 0.888493i) q^{54} +(-1.28271 + 9.71212i) q^{55} +(-9.69156 + 6.04387i) q^{56} +(-0.123069 + 0.123069i) q^{57} +(-2.02157 + 1.44994i) q^{58} +(-1.16504 + 2.01791i) q^{59} +(0.488947 - 0.558034i) q^{60} +(-2.21047 + 3.82864i) q^{61} +(-0.183487 - 1.85484i) 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} +(-2.35443 - 4.76402i) q^{68} +(1.25315 + 0.723506i) q^{69} +(-3.70671 + 12.2200i) q^{70} +(-3.62470 - 2.09272i) q^{71} +(8.19025 + 1.89861i) q^{72} +(2.27279 + 2.27279i) q^{73} +(1.36850 + 0.225339i) q^{74} +(0.000686676 - 0.829511i) q^{75} +(-0.672733 + 1.98739i) q^{76} +(-12.5099 + 12.5099i) q^{77} +(-0.570539 + 0.624579i) q^{78} -2.19362 q^{79} +(2.30373 - 8.64250i) q^{80} +(4.37652 + 7.58036i) q^{81} +(-4.57897 - 6.38417i) q^{82} +(-11.6655 + 11.6655i) q^{83} +(1.31391 - 0.262523i) q^{84} +(-5.48810 - 2.27591i) q^{85} +(-1.39339 - 3.69734i) q^{86} +(0.281899 - 0.0755346i) q^{87} +(8.45922 - 9.05509i) q^{88} +(-5.33046 + 3.07754i) q^{89} +(8.28982 - 4.43115i) q^{90} +(4.51386 - 13.8425i) q^{91} +(17.4078 + 1.12600i) q^{92} +(-0.0565919 + 0.211204i) q^{93} +(9.61599 + 7.88475i) q^{94} +(0.896810 + 2.16763i) q^{95} +(-0.913511 + 0.215063i) q^{96} +(3.34209 + 12.4729i) q^{97} +(-10.6953 + 7.67106i) 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 $

$2$	−1.40734	+	0.139220i	−0.995143	+	0.0984431i
$2$	−1.40734	+	0.139220i	−0.995143	+	0.0984431i
$3$	0.160249	+	0.0429387i	0.0925200	+	0.0247907i	0.304782	−	0.952422i	$-0.401416\pi$
$3$	0.160249	+	0.0429387i	0.0925200	+	0.0247907i	−0.212262	+	0.977213i	$0.568083\pi$
$4$	1.96124	−	0.391860i	0.980618	−	0.195930i
$5$	1.36197	−	1.77343i	0.609090	−	0.793101i
$5$	1.36197	−	1.77343i	0.609090	−	0.793101i
$6$	−0.231504	−	0.0381197i	−0.0945110	−	0.0155623i
$7$	3.90057	−	1.04516i	1.47428	−	0.395032i	0.569883	−	0.821726i	$-0.306989\pi$
$7$	3.90057	−	1.04516i	1.47428	−	0.395032i	0.904396	+	0.426694i	$0.140322\pi$
$8$	−2.70558	+	0.824524i	−0.956567	+	0.291513i
$9$	−2.57424	−	1.48624i	−0.858080	−	0.495413i
$10$	−1.66986	+	2.68544i	−0.528056	+	0.849210i
$11$	−3.79415	+	2.19056i	−1.14398	+	0.660477i	−0.947413	−	0.320013i	$-0.896313\pi$
$11$	−3.79415	+	2.19056i	−1.14398	+	0.660477i	−0.196567	+	0.980490i	$0.562979\pi$
$12$	0.331113	+	0.0214176i	0.0955840	+	0.00618274i
$13$	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
$16$	3.69289	−	1.53706i	0.923223	−	0.384265i
$17$	−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	$-0.187760\pi$
$18$	3.82976	+	1.73326i	0.902682	+	0.408534i
$19$	−0.524542	+	0.908533i	−0.120338	+	0.208432i	−0.919901	−	0.392151i	$-0.871731\pi$
$19$	−0.524542	+	0.908533i	−0.120338	+	0.208432i	0.799563	+	0.600582i	$0.205065\pi$
$20$	1.97620	−	4.01181i	0.441892	−	0.897068i
$21$	0.669942			0.146193
$22$	5.03471	−	3.61109i	1.07340	−	0.769886i
$23$	8.42487	+	2.25744i	1.75671	+	0.470708i	0.986037	−	0.166526i	$-0.0532549\pi$
$23$	8.42487	+	2.25744i	1.75671	+	0.470708i	0.770670	+	0.637234i	$0.219922\pi$
$24$	−0.468971	+	0.0159554i	−0.0957283	+	0.00325687i
$25$	−1.29010	−	4.83070i	−0.258019	−	0.966140i
$26$	−2.34744	+	4.52654i	−0.460370	+	0.887727i
$27$	−0.700635	−	0.700635i	−0.134837	−	0.134837i
$28$	7.24039	−	3.57827i	1.36831	−	0.676230i
$29$	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	$0.281109\pi$
$30$	−0.382903	+	0.358638i	−0.0699082	+	0.0654780i
$31$			1.31797i			0.236714i	0.992971	+	0.118357i	$0.0377628\pi$
$31$			1.31797i			0.236714i	−0.992971	+	0.118357i	$0.962237\pi$
$32$	−4.98318	+	2.67729i	−0.880910	+	0.473283i
$33$	−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
$36$	−5.63109	−	1.90612i	−0.938515	−	0.317687i
$37$	−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	$0.609021\pi$
$38$	0.611725	−	1.35165i	0.0992349	−	0.219266i
$39$	0.444949	−	0.399784i	0.0712488	−	0.0640166i
$40$	−2.22267	+	5.92113i	−0.351436	+	0.936212i
$41$	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	$0.690505\pi$
$42$	−0.942839	+	0.0932690i	−0.145483	+	0.0143917i
$43$	0.723117	+	2.69871i	0.110274	+	0.411549i	0.998890	−	0.0471031i	$-0.0149989\pi$
$43$	0.723117	+	2.69871i	0.110274	+	0.411549i	−0.888616	+	0.458653i	$0.848332\pi$
$44$	−6.58284	+	5.78297i	−0.992400	+	0.871816i
$45$	−6.14176	+	2.54102i	−0.915560	+	0.378794i
$46$	−12.1710	−	2.00409i	−1.79451	−	0.295486i
$47$	−6.21765	−	6.21765i	−0.906937	−	0.906937i	0.0890868	−	0.996024i	$-0.471605\pi$
$47$	−6.21765	−	6.21765i	−0.906937	−	0.906937i	−0.996024	+	0.0890868i	$0.971605\pi$
$48$	0.657783	−	0.0877446i	0.0949427	−	0.0126648i
$49$	8.05995	−	4.65341i	1.15142	−	0.664773i
$50$	2.48814	+	6.61885i	0.351876	+	0.936047i
$51$		−	0.440807i		−	0.0617253i
$52$	2.67347	−	6.69721i	0.370743	−	0.928735i
$53$	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	$0.534919\pi$
$54$	1.08358	+	0.888493i	0.147456	+	0.120909i
$55$	−1.28271	+	9.71212i	−0.172961	+	1.30958i
$56$	−9.69156	+	6.04387i	−1.29509	+	0.807646i
$57$	−0.123069	+	0.123069i	−0.0163008	+	0.0163008i
$58$	−2.02157	+	1.44994i	−0.265445	+	0.190387i
$59$	−1.16504	+	2.01791i	−0.151675	+	0.262710i	−0.931844	−	0.362860i	$-0.881800\pi$
$59$	−1.16504	+	2.01791i	−0.151675	+	0.262710i	0.780168	+	0.625570i	$0.215134\pi$
$60$	0.488947	−	0.558034i	0.0631228	−	0.0720419i
$61$	−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	$0.258003\pi$
$62$	−0.183487	−	1.85484i	−0.0233029	−	0.235565i
$63$	−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	$0.262534\pi$
$67$	−2.26133	+	8.43941i	−0.276266	+	1.03104i	−0.954988	+	0.296643i	$0.904133\pi$
$68$	−2.35443	−	4.76402i	−0.285516	−	0.577722i
$69$	1.25315	+	0.723506i	0.150861	+	0.0870998i
$70$	−3.70671	+	12.2200i	−0.443037	+	1.46057i
$71$	−3.62470	−	2.09272i	−0.430173	−	0.248360i	0.269247	−	0.963071i	$-0.413225\pi$
$71$	−3.62470	−	2.09272i	−0.430173	−	0.248360i	−0.699420	+	0.714711i	$0.746558\pi$
$72$	8.19025	+	1.89861i	0.965230	+	0.223754i
$73$	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	$0.689768\pi$
$74$	1.36850	+	0.225339i	0.159085	+	0.0261951i
$75$	0.000686676	−	0.829511i	7.92905e−5	−	0.0957837i
$76$	−0.672733	+	1.98739i	−0.0771677	+	0.227970i
$77$	−12.5099	+	12.5099i	−1.42564	+	1.42564i
$78$	−0.570539	+	0.624579i	−0.0646008	+	0.0707196i
$79$	−2.19362			−0.246801			−0.123401	−	0.992357i	$-0.539380\pi$
$79$	−2.19362			−0.246801			−0.123401	+	0.992357i	$0.539380\pi$
$80$	2.30373	−	8.64250i	0.257565	−	0.966261i
$81$	4.37652	+	7.58036i	0.486280	+	0.842262i
$82$	−4.57897	−	6.38417i	−0.505663	−	0.705014i
$83$	−11.6655	+	11.6655i	−1.28046	+	1.28046i	−0.340050	+	0.940407i	$0.610444\pi$
$83$	−11.6655	+	11.6655i	−1.28046	+	1.28046i	−0.940407	+	0.340050i	$0.889556\pi$
$84$	1.31391	−	0.262523i	0.143360	−	0.0286436i
$85$	−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
$88$	8.45922	−	9.05509i	0.901756	−	0.965276i
$89$	−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	$0.439108\pi$
$90$	8.28982	−	4.43115i	0.873823	−	0.467084i
$91$	4.51386	−	13.8425i	0.473181	−	1.45108i
$92$	17.4078	+	1.12600i	1.81488	+	0.117394i
$93$	−0.0565919	+	0.211204i	−0.00586830	+	0.0219008i
$94$	9.61599	+	7.88475i	0.991814	+	0.813250i
$95$	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	$0.689103\pi$
$98$	−10.6953	+	7.67106i	−1.08039	+	0.774894i
$99$	13.0227			1.30884
$100$	−4.42314	−	8.96860i	−0.442314	−	0.896860i
$101$	−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	$0.967275\pi$
$102$	0.0613689	+	0.620367i	0.00607643	+	0.0614255i
$103$	7.65747	−	7.65747i	0.754513	−	0.754513i	−0.220805	−	0.975318i	$-0.570868\pi$
$103$	7.65747	−	7.65747i	0.754513	−	0.754513i	0.975318	+	0.220805i	$0.0708684\pi$
$104$	−2.83011	+	9.79747i	−0.277515	+	0.960721i
$105$	0.912438	−	1.18809i	0.0890448	−	0.115946i
$106$	−9.95881	−	8.16586i	−0.967286	−	0.793138i
$107$	2.98136	−	11.1266i	0.288219	−	1.07565i	−0.658236	−	0.752812i	$-0.728697\pi$
$107$	2.98136	−	11.1266i	0.288219	−	1.07565i	0.946455	−	0.322836i	$-0.104636\pi$
$108$	−1.64866	−	1.09956i	−0.158642	−	0.105805i
$109$			5.59263i			0.535677i	0.963464	+	0.267839i	$0.0863094\pi$
$109$			5.59263i			0.535677i	−0.963464	+	0.267839i	$0.913691\pi$
$110$	0.453104	−	13.8469i	0.0432018	−	1.32025i
$111$	−0.140904	−	0.0813508i	−0.0133740	−	0.00772147i
$112$	12.7979	−	9.85506i	1.20929	−	0.931215i
$113$	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	$0.195254\pi$
$114$	0.156066	−	0.190334i	0.0146170	−	0.0178264i
$115$	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
$118$	1.35868	−	3.00209i	0.125077	−	0.276365i
$119$	−5.36477	−	9.29205i	−0.491787	−	0.851801i
$120$	−0.610427	+	0.853417i	−0.0557241	+	0.0779060i
$121$	4.09707	−	7.09633i	0.372461	−	0.645121i
$122$	2.57787	−	5.69596i	0.233389	−	0.515688i
$123$	0.238541	+	0.890247i	0.0215085	+	0.0802708i
$124$	0.516459	+	2.58485i	0.0463794	+	0.232126i
$125$	−10.3240	−	4.29135i	−0.923404	−	0.383830i
$126$	16.7498	+	2.75804i	1.49219	+	0.245705i
$127$	−0.157598	+	0.588165i	−0.0139846	+	0.0521912i	−0.972566	−	0.232629i	$-0.925267\pi$
$127$	−0.157598	+	0.588165i	−0.0139846	+	0.0521912i	0.958581	+	0.284820i	$0.0919339\pi$
$128$	−8.72407	+	7.20351i	−0.771106	+	0.636706i
$129$			0.463516i			0.0408103i
$130$	4.83036	+	10.3280i	0.423651	+	0.905826i
$131$			7.11495i			0.621636i	0.950469	+	0.310818i	$0.100603\pi$
$131$			7.11495i			0.621636i	−0.950469	+	0.310818i	$0.899397\pi$
$132$	−1.30321	+	0.644059i	−0.113430	+	0.0560581i
$133$	−1.09646	+	4.09203i	−0.0950748	+	0.354824i
$134$	2.00754	−	12.1920i	0.173425	−	1.05323i
$135$	−2.19677	+	0.288285i	−0.189068	+	0.0248116i
$136$	3.97673	+	6.37683i	0.341002	+	0.546809i
$137$	−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	$-0.340821\pi$
$138$	−1.86434	−	0.843759i	−0.158703	−	0.0718255i
$139$	−10.1826	+	17.6367i	−0.863673	+	1.49593i	0.00468503	+	0.999989i	$0.498509\pi$
$139$	−10.1826	+	17.6367i	−0.863673	+	1.49593i	−0.868358	+	0.495937i	$0.834825\pi$
$140$	3.51535	−	17.7138i	0.297102	−	1.49709i
$141$	−0.729396	−	1.26335i	−0.0614262	−	0.106393i
$142$	5.39255	+	2.44055i	0.452533	+	0.204807i
$143$	−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
$146$	−3.51501	−	2.88218i	−0.290904	−	0.238531i
$147$	1.49141	−	0.399623i	0.123010	−	0.0329603i
$148$	−1.95732	−	0.126607i	−0.160891	−	0.0104070i
$149$	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	$0.590131\pi$
$150$	0.114518	+	1.16750i	0.00935034	+	0.0953262i
$151$			18.5856i			1.51248i	0.654297	+	0.756238i	$0.272965\pi$
$151$			18.5856i			1.51248i	−0.654297	+	0.756238i	$0.727035\pi$
$152$	0.670082	−	2.89061i	0.0543509	−	0.234459i
$153$	−2.04414	+	7.62884i	−0.165259	+	0.616755i
$154$	15.8641	−	19.3474i	1.27837	−	1.55906i
$155$	2.33732	+	1.79503i	0.187738	+	0.144180i
$156$	0.715991	−	0.958427i	0.0573251	−	0.0767356i
$157$	−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	$0.409957\pi$
$158$	3.08718	−	0.305395i	0.245603	−	0.0242959i
$159$	0.755400	+	1.30839i	0.0599071	+	0.103762i
$160$	−2.03894	+	12.4837i	−0.161192	+	0.986923i
$161$	35.2212			2.77582
$162$	−7.21461	−	10.0589i	−0.566833	−	0.790300i
$163$	−5.42097	−	20.2313i	−0.424603	−	1.58464i	−0.764787	−	0.644283i	$-0.777156\pi$
$163$	−5.42097	−	20.2313i	−0.424603	−	1.58464i	0.340184	−	0.940359i	$-0.389511\pi$
$164$	7.33299	+	8.34725i	0.572610	+	0.651810i
$165$	−0.622580	+	1.50128i	−0.0484678	+	0.116875i
$166$	14.7933	−	18.0415i	1.14819	−	1.40029i
$167$	−1.84988	+	6.90385i	−0.143148	+	0.534236i	0.856683	+	0.515843i	$0.172521\pi$
$167$	−1.84988	+	6.90385i	−0.143148	+	0.534236i	−0.999831	+	0.0183921i	$0.994145\pi$
$168$	−1.81258	+	0.552383i	−0.139844	+	0.0426173i
$169$	−5.26248	−	11.8872i	−0.404806	−	0.914403i
$170$	8.04050	+	2.43893i	0.616678	+	0.187058i
$171$	2.70059	−	1.55919i	0.206519	−	0.119234i
$172$	2.47572	+	5.00945i	0.188772	+	0.381967i
$173$	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
$176$	−10.6444	+	13.9213i	−0.802351	+	1.04936i
$177$	−0.273343	+	0.273343i	−0.0205457	+	0.0205457i
$178$	7.07334	−	5.07327i	0.530169	−	0.380257i
$179$	0.953171	+	1.65094i	0.0712434	+	0.123397i	0.899446	−	0.437031i	$-0.143970\pi$
$179$	0.953171	+	1.65094i	0.0712434	+	0.123397i	−0.828203	+	0.560428i	$0.810637\pi$
$180$	−11.0497	+	7.39026i	−0.823598	+	0.550837i
$181$	−22.7327			−1.68971			−0.844855	−	0.534995i	$-0.820314\pi$
$181$	−22.7327			−1.68971			−0.844855	+	0.534995i	$0.820314\pi$
$182$	−4.42541	+	20.1095i	−0.328033	+	1.49062i
$183$	−0.518623	+	0.518623i	−0.0383377	+	0.0383377i
$184$	−24.6555	+	0.838830i	−1.81763	+	0.0618394i
$185$	−1.74032	+	1.33425i	−0.127951	+	0.0980960i
$186$	0.0502405	−	0.305115i	0.00368382	−	0.0223721i
$187$	8.23124	+	8.23124i	0.601928	+	0.601928i
$188$	−14.6307	−	9.75783i	−1.06705	−	0.711663i
$189$	−3.46515	−	2.00061i	−0.252053	−	0.145523i
$190$	−1.56390	−	2.92575i	−0.113457	−	0.212256i
$191$	7.84806	+	4.53108i	0.567866	+	0.327857i	0.756296	−	0.654229i	$-0.227007\pi$
$191$	7.84806	+	4.53108i	0.567866	+	0.327857i	−0.188431	+	0.982086i	$0.560340\pi$
$192$	1.25568	−	0.429846i	0.0906211	−	0.0310215i
$193$	−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	$0.405700\pi$
$198$	−18.3275	+	1.81302i	−1.30248	+	0.128846i
$199$	5.72784	−	9.92092i	0.406036	−	0.703275i	−0.588405	−	0.808566i	$-0.700244\pi$
$199$	5.72784	−	9.92092i	0.406036	−	0.703275i	0.994441	+	0.105291i	$0.0335774\pi$
$200$	7.47349	+	12.0061i	0.528455	+	0.848961i
$201$	−0.724754	+	1.25531i	−0.0511202	+	0.0885428i
$202$	6.76731	+	9.43523i	0.476146	+	0.663861i
$203$	5.02305	−	5.02305i	0.352549	−	0.352549i
$204$	−0.172734	−	0.864526i	−0.0120938	−	0.0605290i
$205$	12.3153	+	1.62652i	0.860136	+	0.113601i
$206$	−9.71063	+	11.8428i	−0.676572	+	0.825125i
$207$	−18.3326	−	18.3326i	−1.27420	−	1.27420i
$208$	2.61894	−	14.1824i	0.181591	−	0.983374i
$209$		−	4.59615i		−	0.317922i
$210$	−1.11871	+	1.79909i	−0.0771982	+	0.124149i
$211$	−8.19791	+	4.73306i	−0.564367	+	0.325838i	−0.754897	−	0.655844i	$-0.772313\pi$
$211$	−8.19791	+	4.73306i	−0.564367	+	0.325838i	0.190529	+	0.981682i	$0.438980\pi$
$212$	15.1523	+	10.1057i	1.04067	+	0.694063i
$213$	−0.490997	−	0.490997i	−0.0336426	−	0.0336426i
$214$	−2.64676	+	16.0740i	−0.180929	+	1.09880i
$215$	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
$218$	−0.778604	−	7.87076i	−0.0527337	−	0.533075i
$219$	0.266622	+	0.461803i	0.0180166	+	0.0312057i
$220$	1.29008	+	19.5504i	0.0869773	+	1.31809i
$221$	−9.10804	−	2.97002i	−0.612673	−	0.199785i
$222$	0.209626	+	0.0948720i	0.0140691	+	0.00636739i
$223$	9.95014	+	2.66613i	0.666311	+	0.178537i	0.576092	−	0.817385i	$-0.304577\pi$
$223$	9.95014	+	2.66613i	0.666311	+	0.178537i	0.0902185	+	0.995922i	$0.471243\pi$
$224$	−16.6391	+	15.6512i	−1.11175	+	1.04574i
$225$	−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	−0.698341	−	0.715765i	$-0.746078\pi$
$227$	−14.2415	+	3.81599i	−0.945241	+	0.253276i	−0.246899	+	0.969041i	$0.579412\pi$
$228$	−0.193141	+	0.289592i	−0.0127911	+	0.0191787i
$229$		−	10.0401i		−	0.663469i	−0.943373	−	0.331735i	$-0.892366\pi$
$229$		−	10.0401i		−	0.663469i	0.943373	−	0.331735i	$-0.107634\pi$
$230$	−20.1306	+	18.8549i	−1.32737	+	1.24325i
$231$	−2.54186	+	1.46754i	−0.167242	+	0.0965574i
$232$	−3.39659	+	3.63585i	−0.222997	+	0.238705i
$233$	−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	$0.830820\pi$
$234$	12.7704	−	8.16354i	0.834826	−	0.533668i
$235$	−19.4948	+	2.55833i	−1.27170	+	0.166887i
$236$	−1.49418	+	4.41413i	−0.0972630	+	0.287335i
$237$	−0.351526	−	0.0941911i	−0.0228341	−	0.00611837i
$238$	8.84371	+	12.3302i	0.573252	+	0.799250i
$239$	15.9514			1.03181			0.515905	−	0.856646i	$-0.327456\pi$
$239$	15.9514			1.03181			0.515905	+	0.856646i	$0.327456\pi$
$240$	0.740269	−	1.28604i	0.0477841	−	0.0830132i
$241$	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	$-0.0603249\pi$
$242$	−4.77803	+	10.5574i	−0.307144	+	0.678653i
$243$	1.14519	+	4.27392i	0.0734643	+	0.274172i
$244$	−2.83496	+	8.37506i	−0.181490	+	0.536158i
$245$	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
$248$	−1.08670	−	3.56587i	−0.0690053	−	0.226433i
$249$	−2.37029	+	1.36849i	−0.150211	+	0.0867245i
$250$	15.1268	+	4.60211i	0.956704	+	0.291063i
$251$	−9.29307	−	5.36536i	−0.586574	−	0.338658i	0.177168	−	0.984181i	$-0.443306\pi$
$251$	−9.29307	−	5.36536i	−0.586574	−	0.338658i	−0.763741	+	0.645522i	$0.776640\pi$
$252$	−23.9567	−	1.54961i	−1.50913	−	0.0976162i
$253$	−36.9103	+	9.89009i	−2.32053	+	0.621784i
$254$	0.139911	−	0.849692i	0.00877881	−	0.0533144i
$255$	−0.781740	−	0.600364i	−0.0489544	−	0.0375963i
$256$	11.2749	−	11.3524i	0.704681	−	0.709524i
$257$	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	$0.472919\pi$
$258$	−0.0645305	−	0.652327i	−0.00401749	−	0.0406121i
$259$	−3.96026			−0.246079
$260$	−8.23584	−	13.8626i	−0.510765	−	0.859720i
$261$	−5.22897			−0.323665
$262$	−0.990540	−	10.0132i	−0.0611958	−	0.618616i
$263$	4.17667	+	1.11913i	0.257544	+	0.0690088i	0.385281	−	0.922799i	$-0.374105\pi$
$263$	4.17667	+	1.11913i	0.257544	+	0.0690088i	−0.127737	+	0.991808i	$0.540771\pi$
$264$	1.74440	−	1.08784i	0.107360	−	0.0669522i
$265$	20.1898	−	2.64954i	1.24025	−	0.162760i
$266$	0.973400	−	5.91154i	0.0596830	−	0.362460i
$267$	−0.986348	+	0.264291i	−0.0603635	+	0.0161744i
$268$	−1.12794	+	17.4378i	−0.0689001	+	1.06518i
$269$	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	$0.651919\pi$
$270$	3.05147	−	0.711549i	0.185707	−	0.0433035i
$271$	11.9069	−	6.87447i	0.723295	−	0.417594i	−0.0926694	−	0.995697i	$-0.529540\pi$
$271$	11.9069	−	6.87447i	0.723295	−	0.417594i	0.815964	+	0.578103i	$0.196207\pi$
$272$	−6.48441	−	8.42076i	−0.393175	−	0.510583i
$273$	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
$276$	2.74123	+	0.927907i	0.165003	+	0.0558534i
$277$	−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	$0.985724\pi$
$278$	11.8750	−	26.2385i	0.712215	−	1.57368i
$279$	1.95882	−	3.39277i	0.117271	−	0.203120i
$280$	−2.48121	+	25.4188i	−0.148280	+	1.51907i
$281$	19.6933			1.17480			0.587401	−	0.809296i	$-0.300151\pi$
$281$	19.6933			1.17480			0.587401	+	0.809296i	$0.300151\pi$
$282$	1.20239	+	1.67642i	0.0716016	+	0.0998296i
$283$	−20.3346	−	5.44863i	−1.20876	−	0.323887i	−0.402487	−	0.915426i	$-0.631854\pi$
$283$	−20.3346	−	5.44863i	−1.20876	−	0.323887i	−0.806277	+	0.591538i	$0.798521\pi$
$284$	−7.92895	−	2.68395i	−0.470497	−	0.159263i
$285$	0.0506381	+	0.385869i	0.00299954	+	0.0228569i
$286$	−1.00910	−	22.3166i	−0.0596692	−	1.31961i
$287$	15.8629	+	15.8629i	0.936360	+	0.936360i
$288$	16.8070	+	0.514201i	0.990362	+	0.0302996i
$289$	8.60847	−	4.97010i	0.506380	−	0.292359i
$290$	−0.181933	+	5.55988i	−0.0106835	+	0.326487i
$291$			2.14227i			0.125582i
$292$	5.34808	+	3.56686i	0.312973	+	0.208734i
$293$	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
$296$	2.77225	−	0.0943178i	0.161134	−	0.00548211i
$297$	4.19310	+	1.12354i	0.243308	+	0.0651942i
$298$	−7.49029	−	3.38994i	−0.433901	−	0.196374i
$299$	23.3925	−	21.0180i	1.35283	−	1.21550i
$300$	−0.323705	−	1.62714i	−0.0186891	−	0.0939427i
$301$	5.64114	+	9.77075i	0.325150	+	0.563177i
$302$	−2.58748	−	26.1563i	−0.148893	−	1.50513i
$303$	−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
$306$	1.81473	−	11.0210i	0.103741	−	0.630028i
$307$	−4.38492	−	4.38492i	−0.250260	−	0.250260i	0.570817	−	0.821077i	$-0.306627\pi$
$307$	−4.38492	−	4.38492i	−0.250260	−	0.250260i	−0.821077	+	0.570817i	$0.806627\pi$
$308$	−19.6327	+	29.4370i	−1.11868	+	1.67733i
$309$	1.55591	−	0.898303i	0.0885124	−	0.0511027i
$310$	−3.53932	−	2.20082i	−0.201020	−	0.124998i
$311$		−	16.2483i		−	0.921355i	−0.887568	−	0.460677i	$-0.847606\pi$
$311$		−	16.2483i		−	0.921355i	0.887568	−	0.460677i	$-0.152394\pi$
$312$	−0.874213	+	1.44852i	−0.0494926	+	0.0820061i
$313$	−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	$-0.517468\pi$
$314$	10.8230	−	13.1993i	0.610775	−	0.744881i
$315$	−21.3006	+	16.3306i	−1.20016	+	0.920123i
$316$	−4.30220	+	0.859591i	−0.242018	+	0.0483557i
$317$	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	$0.141145\pi$
$318$	−1.24526	−	1.73619i	−0.0698308	−	0.0973608i
$319$	−3.85347	+	6.67440i	−0.215753	+	0.373695i
$320$	1.13151	−	17.8527i	0.0632535	−	0.997997i
$321$	0.955522	−	1.65501i	0.0533320	−	0.0923738i
$322$	−49.5684	+	4.90348i	−2.76234	+	0.273260i
$323$	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
$328$	−11.4821	−	10.7266i	−0.633995	−	0.592275i
$329$	−30.7508	−	17.7540i	−1.69535	−	0.978809i
$330$	0.667176	−	2.19950i	0.0367268	−	0.121078i
$331$	20.1169	+	11.6145i	1.10572	+	0.638389i	0.937718	−	0.347397i	$-0.112934\pi$
$331$	20.1169	+	11.6145i	1.10572	+	0.638389i	0.168005	+	0.985786i	$0.446268\pi$
$332$	−18.3076	+	27.4501i	−1.00476	+	1.50652i
$333$	2.06131	+	2.06131i	0.112959	+	0.112959i
$334$	1.64227	−	9.97363i	0.0898609	−	0.545733i
$335$	11.8868	+	15.5045i	0.649447	+	0.847102i
$336$	2.47402	−	1.02974i	0.134969	−	0.0561769i
$337$	−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	$0.259911\pi$
$338$	9.06105	+	15.9968i	0.492856	+	0.870111i
$339$	2.26032			0.122764
$340$	−11.6553	−	2.31303i	−0.632097	−	0.125441i
$341$	−2.88709	−	5.00058i	−0.156344	−	0.270796i
$342$	−3.58359	+	2.57029i	−0.193779	+	0.138985i
$343$	6.58696	−	6.58696i	0.355662	−	0.355662i
$344$	−4.18160	−	6.70535i	−0.225457	−	0.361528i
$345$	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	−0.0210059	−	0.999779i	$-0.506687\pi$
$347$	8.58174	−	2.29947i	0.460692	−	0.123442i	0.481698	+	0.876337i	$0.340020\pi$
$348$	0.523272	−	0.258606i	0.0280503	−	0.0138627i
$349$	−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	$0.391663\pi$
$350$	16.6229	+	23.2168i	0.888531	+	1.24099i
$351$	−3.49527	+	0.739084i	−0.186563	+	0.0394494i
$352$	13.0422	−	21.0740i	0.695151	−	1.12325i
$353$	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	$-0.0781144\pi$
$354$	0.346634	−	0.422743i	0.0184234	−	0.0224685i
$355$	−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
$358$	−1.57128	−	2.19074i	−0.0830449	−	0.115784i
$359$	−34.5802			−1.82507			−0.912537	−	0.408994i	$-0.865880\pi$
$359$	−34.5802			−1.82507			−0.912537	+	0.408994i	$0.865880\pi$
$360$	14.5219	−	11.9390i	0.765371	−	0.629239i
$361$	8.94971	+	15.5014i	0.471037	+	0.815861i
$362$	31.9928	−	3.16484i	1.68150	−	0.166340i
$363$	0.961259	−	0.961259i	0.0504530	−	0.0504530i
$364$	3.42844	−	28.9171i	0.179699	−	1.51567i
$365$	7.12608	−	0.935166i	0.372996	−	0.0489488i
$366$	0.657678	−	0.802083i	0.0343774	−	0.0419256i
$367$	4.03782	−	15.0694i	0.210773	−	0.786614i	−0.776839	−	0.629699i	$-0.783178\pi$
$367$	4.03782	−	15.0694i	0.210773	−	0.786614i	0.987612	−	0.156916i	$-0.0501551\pi$
$368$	34.5820	−	4.61305i	1.80271	−	0.240472i
$369$		−	16.5133i		−	0.859646i
$370$	2.26347	−	2.12003i	0.117672	−	0.110215i
$371$	31.8471	+	18.3869i	1.65342	+	0.954603i
$372$	−0.0282278	+	0.436396i	−0.00146354	+	0.0226261i
$373$	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	$0.364211\pi$
$374$	−12.7301	−	10.4382i	−0.658260	−	0.539749i
$375$	−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
$378$	5.15518	+	2.33312i	0.265154	+	0.120003i
$379$	−9.99984	−	17.3202i	−0.513657	−	0.889680i	−0.999875	−	0.0158424i	$-0.994957\pi$
$379$	−9.99984	−	17.3202i	−0.513657	−	0.889680i	0.486217	−	0.873838i	$-0.338376\pi$
$380$	2.60826	+	3.89981i	0.133801	+	0.200056i
$381$	−0.0505101	+	0.0874860i	−0.00258771	+	0.00448204i
$382$	−11.6757	−	5.28419i	−0.597383	−	0.270362i
$383$	−5.99591	−	22.3770i	−0.306377	−	1.14341i	−0.931754	−	0.363091i	$-0.881722\pi$
$383$	−5.99591	−	22.3770i	−0.306377	−	1.14341i	0.625377	−	0.780323i	$-0.284945\pi$
$384$	−1.70734	+	0.779757i	−0.0871271	+	0.0397918i
$385$	5.14735	+	39.2235i	0.262333	+	1.99901i
$386$	3.03744	−	18.4466i	0.154602	−	0.938909i
$387$	2.14945	−	8.02185i	0.109263	−	0.407774i
$388$	11.4422	+	23.1526i	0.580892	+	1.17539i
$389$			36.8469i			1.86821i	0.356994	+	0.934107i	$0.383802\pi$
$389$			36.8469i			1.86821i	−0.356994	+	0.934107i	$0.616198\pi$
$390$	0.330591	+	1.86246i	0.0167401	+	0.0943095i
$391$		−	23.1748i		−	1.17200i
$392$	−17.9700	+	19.2358i	−0.907621	+	0.971555i
$393$	−0.305506	+	1.14017i	−0.0154108	+	0.0575137i
$394$	−20.7426	−	3.41550i	−1.04500	−	0.172071i
$395$	−2.98763	+	3.89023i	−0.150324	+	0.195738i
$396$	25.5407	−	5.10309i	1.28347	−	0.256440i
$397$	−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	$-0.210492\pi$
$398$	−6.67986	+	14.7596i	−0.334831	+	0.739831i
$399$	−0.351412	+	0.608664i	−0.0175926	+	0.0304713i
$400$	−12.1893	−	15.8563i	−0.609463	−	0.792815i
$401$	−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	$-0.435069\pi$
$402$	0.845215	−	1.86755i	0.0421555	−	0.0931452i
$403$	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
$406$	−6.36985	+	7.76846i	−0.316130	+	0.385542i
$407$	4.15018	−	1.11204i	0.205717	−	0.0551217i
$408$	0.363456	+	1.19264i	0.0179937	+	0.0590444i
$409$	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	$0.522763\pi$
$410$	−17.5583	−	0.574550i	−0.867141	−	0.0283750i
$411$		−	2.81001i		−	0.138607i
$412$	12.0175	−	18.0188i	0.592057	−	0.887721i
$413$	−2.43530	+	9.08866i	−0.119833	+	0.447224i
$414$	28.3525	+	23.2480i	1.39345	+	1.14258i
$415$	4.79992	+	36.5760i	0.235619	+	1.79545i
$416$	−1.71128	+	20.3242i	−0.0839023	+	0.996474i
$417$	−2.38904	+	2.38904i	−0.116992	+	0.116992i
$418$	0.639874	+	6.46837i	0.0312973	+	0.316378i
$419$	−8.59948	−	14.8947i	−0.420112	−	0.727655i	0.575838	−	0.817564i	$-0.304676\pi$
$419$	−8.59948	−	14.8947i	−0.420112	−	0.727655i	−0.995950	+	0.0899085i	$0.971343\pi$
$420$	1.32394	−	2.68768i	0.0646017	−	0.131145i
$421$	−10.5744			−0.515363			−0.257682	−	0.966230i	$-0.582959\pi$
$421$	−10.5744			−0.515363			−0.257682	+	0.966230i	$0.582959\pi$
$422$	10.8783	−	7.80236i	0.529550	−	0.379813i
$423$	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
$426$	0.759359	+	0.622646i	0.0367910	+	0.0301673i
$427$	−4.62057	+	17.2442i	−0.223605	+	0.834505i
$428$	1.48709	−	22.9901i	0.0718812	−	1.11127i
$429$	−0.812456	+	2.49153i	−0.0392257	+	0.120292i
$430$	−8.45472	−	2.56458i	−0.407723	−	0.123675i
$431$	−28.7005	+	16.5702i	−1.38245	+	0.798161i	−0.992450	−	0.122652i	$-0.960860\pi$
$431$	−28.7005	+	16.5702i	−1.38245	+	0.798161i	−0.390005	+	0.920813i	$0.627527\pi$
$432$	−3.66429	−	1.51045i	−0.176298	−	0.0726717i
$433$	−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
$436$	2.19153	+	10.9685i	0.104955	+	0.525294i
$437$	−6.47015	+	6.47015i	−0.309509	+	0.309509i
$438$	−0.439521	−	0.612797i	−0.0210011	−	0.0292806i
$439$	3.31184	+	5.73628i	0.158066	+	0.273778i	0.934171	−	0.356826i	$-0.116141\pi$
$439$	3.31184	+	5.73628i	0.158066	+	0.273778i	−0.776105	+	0.630603i	$0.782808\pi$
$440$	−4.53739	−	27.3345i	−0.216311	−	1.30312i
$441$	−27.6643			−1.31735
$442$	13.2316	+	2.91182i	0.629364	+	0.138501i
$443$	13.9589	−	13.9589i	0.663206	−	0.663206i	−0.292929	−	0.956134i	$-0.594630\pi$
$443$	13.9589	−	13.9589i	0.663206	−	0.663206i	0.956134	+	0.292929i	$0.0946299\pi$
$444$	−0.308223	−	0.104334i	−0.0146276	−	0.00495145i
$445$	−1.80210	+	13.6447i	−0.0854280	+	0.646821i
$446$	−14.3745	−	2.36691i	−0.680650	−	0.112077i
$447$	0.681998	+	0.681998i	0.0322574	+	0.0322574i
$448$	21.2380	−	24.3431i	1.00340	−	1.15010i
$449$	−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	$0.686444\pi$
$450$	3.43212	−	20.7365i	0.161792	−	0.977527i
$451$	−21.0780	−	12.1694i	−0.992523	−	0.573034i
$452$	24.4284	−	12.0728i	1.14901	−	0.567855i
$453$	−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	$0.569914\pi$
$458$	1.39778	+	14.1299i	0.0653139	+	0.660246i
$459$	−1.31635	+	2.27999i	−0.0614422	+	0.106421i
$460$	25.7057	−	29.3378i	1.19853	−	1.36788i
$461$	−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	$0.167992\pi$
$462$	3.37296	−	2.41922i	0.156924	−	0.112552i
$463$	−7.49693	+	7.49693i	−0.348412	+	0.348412i	−0.859518	−	0.511106i	$-0.829236\pi$
$463$	−7.49693	+	7.49693i	−0.348412	+	0.348412i	0.511106	+	0.859518i	$0.329236\pi$
$464$	4.27399	−	5.58977i	0.198415	−	0.259498i
$465$	0.297478	+	0.388014i	0.0137952	+	0.0179937i
$466$	8.38599	+	6.87620i	0.388474	+	0.318534i
$467$	0.992726	+	0.992726i	0.0459379	+	0.0459379i	0.729703	−	0.683765i	$-0.239659\pi$
$467$	0.992726	+	0.992726i	0.0459379	+	0.0459379i	−0.683765	+	0.729703i	$0.739659\pi$
$468$	−16.8358	+	13.2668i	−0.778235	+	0.613258i
$469$			35.2820i			1.62917i
$470$	27.0797	−	6.31450i	1.24909	−	0.291266i
$471$	−1.73413	+	1.00120i	−0.0799046	+	0.0461329i
$472$	1.48830	−	6.42022i	0.0685044	−	0.295515i
$473$	−8.65529	−	8.65529i	−0.397971	−	0.397971i
$474$	0.507831	+	0.0836200i	0.0233255	+	0.00384079i
$475$	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
$478$	−22.4491	+	2.22075i	−1.02680	+	0.101575i
$479$	13.0239	+	22.5581i	0.595077	+	1.03070i	0.993536	+	0.113518i	$0.0362118\pi$
$479$	13.0239	+	22.5581i	0.595077	+	1.03070i	−0.398459	+	0.917186i	$0.630455\pi$
$480$	−0.862772	+	1.91295i	−0.0393800	+	0.0873140i
$481$	−2.63025	+	2.36326i	−0.119929	+	0.107755i
$482$	−11.8438	+	26.1696i	−0.539470	+	1.19199i
$483$	5.64418	+	1.51235i	0.256819	+	0.0688144i
$484$	5.25455	−	15.5230i	0.238843	−	0.705593i
$485$	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	−0.189563	−	0.981868i	$-0.560707\pi$
$487$	3.02783	−	0.811304i	0.137204	−	0.0367637i	0.326767	+	0.945105i	$0.394041\pi$
$488$	2.82379	−	12.1813i	0.127827	−	0.551421i
$489$		−	3.47483i		−	0.157137i
$490$	−0.962533	+	29.4150i	−0.0434828	+	1.32884i
$491$	1.67105	−	0.964780i	0.0754133	−	0.0435399i	−0.461819	−	0.886974i	$-0.652803\pi$
$491$	1.67105	−	0.964780i	0.0754133	−	0.0435399i	0.537232	+	0.843434i	$0.319470\pi$
$492$	0.816687	+	1.65251i	0.0368191	+	0.0745009i
$493$	−3.30505	−	3.30505i	−0.148852	−	0.148852i
$494$	−2.88118	−	4.50708i	−0.129630	−	0.202783i
$495$	17.7365	−	23.0949i	0.797198	−	1.03804i
$496$	2.02580	+	4.86712i	0.0909609	+	0.218540i
$497$	−16.3256	−	4.37444i	−0.732305	−	0.196221i
$498$	3.14530	−	2.25593i	0.140944	−	0.101091i
$499$	−9.93441			−0.444725			−0.222363	−	0.974964i	$-0.571377\pi$
$499$	−9.93441			−0.444725			−0.222363	+	0.974964i	$0.571377\pi$
$500$	−21.9293	−	4.37081i	−0.980710	−	0.195469i
$501$	−0.592884	+	1.02690i	−0.0264881	+	0.0458787i
$502$	13.8255	+	6.25713i	0.617063	+	0.279269i
$503$	−3.98122	−	14.8581i	−0.177514	−	0.662491i	−0.996110	−	0.0881211i	$-0.971914\pi$
$503$	−3.98122	−	14.8581i	−0.177514	−	0.662491i	0.818596	−	0.574370i	$-0.194753\pi$
$504$	33.9310	−	1.15440i	1.51141	−	0.0514212i
$505$	−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
$508$	−0.0786094	+	1.21529i	−0.00348773	+	0.0539197i
$509$	−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	$0.521747\pi$
$510$	1.18376	+	0.736086i	0.0524177	+	0.0325944i
$511$	11.2406	+	6.48976i	0.497254	+	0.287090i
$512$	−14.2872	+	17.5464i	−0.631411	+	0.775448i
$513$	1.00406	−	0.269038i	0.0443304	−	0.0118783i
$514$	−15.2101	−	2.50451i	−0.670888	−	0.110469i
$515$	−3.15076	−	24.0092i	−0.138839	−	1.05797i
$516$	0.181633	+	0.909064i	0.00799596	+	0.0400193i
$517$	37.2108	+	9.97061i	1.63653	+	0.438507i
$518$	5.57345	−	0.551346i	0.244883	−	0.0242247i
$519$	1.11502			0.0489440
$520$	13.5206	+	18.3628i	0.592918	+	0.805263i
$521$	−7.33035			−0.321148			−0.160574	−	0.987024i	$-0.551335\pi$
$521$	−7.33035			−0.321148			−0.160574	+	0.987024i	$0.551335\pi$
$522$	7.35896	−	0.727974i	0.322093	−	0.0318626i
$523$	16.1184	+	4.31892i	0.704809	+	0.188853i	0.593384	−	0.804920i	$-0.297792\pi$
$523$	16.1184	+	4.31892i	0.704809	+	0.188853i	0.111426	+	0.993773i	$0.464458\pi$
$524$	2.78806	+	13.9541i	0.121797	+	0.609587i
$525$	−0.864290	−	3.23629i	−0.0377207	−	0.141243i
$526$	−6.03381	−	0.993534i	−0.263087	−	0.0433201i
$527$	3.38256	−	0.906354i	0.147347	−	0.0394814i
$528$	−2.30352	+	1.77383i	−0.100248	+	0.0771959i
$529$	45.9639	+	26.5373i	1.99843	+	1.15379i
$530$	−28.0451	+	6.53962i	−1.21820	+	0.284063i
$531$	5.99819	−	3.46306i	0.260299	−	0.150284i
$532$	−0.546907	+	8.45509i	−0.0237114	+	0.366575i
$533$	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
$536$	−0.840277	−	24.6980i	−0.0362945	−	1.06679i
$537$	0.0818558	+	0.305490i	0.00353234	+	0.0131829i
$538$	−1.95733	−	0.885846i	−0.0843865	−	0.0381915i
$539$	−20.3871	+	35.3115i	−0.878136	+	1.52098i
$540$	−4.19541	+	1.42622i	−0.180542	+	0.0613747i
$541$	−13.3308			−0.573138			−0.286569	−	0.958060i	$-0.592515\pi$
$541$	−13.3308			−0.573138			−0.286569	+	0.958060i	$0.592515\pi$
$542$	−15.8001	+	11.3324i	−0.678672	+	0.486769i
$543$	−3.64290	−	0.976113i	−0.156332	−	0.0418890i
$544$	10.2981	+	10.9481i	0.441529	+	0.469398i
$545$	9.91813	+	7.61698i	0.424846	+	0.326275i
$546$	−1.57265	+	3.03252i	−0.0673030	+	0.129780i
$547$	−11.9235	−	11.9235i	−0.509814	−	0.509814i	0.404655	−	0.914469i	$-0.367392\pi$
$547$	−11.9235	−	11.9235i	−0.509814	−	0.509814i	−0.914469	+	0.404655i	$0.867392\pi$
$548$	−15.0087	−	30.3691i	−0.641141	−	1.29731i
$549$	11.3805	−	6.57056i	0.485710	−	0.280425i
$550$	−23.9393	−	19.6625i	−1.02078	−	0.838413i
$551$			1.84547i			0.0786198i
$552$	−3.98704	−	0.924251i	−0.169700	−	0.0393388i
$553$	−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
$556$	−13.0593	+	38.5799i	−0.553837	+	1.63615i
$557$	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	$0.319722\pi$
$558$	−2.28439	+	5.04750i	−0.0967059	+	0.213678i
$559$	9.57726	+	3.12303i	0.405075	+	0.132090i
$560$	−0.0468859	−	36.1185i	−0.00198129	−	1.52628i
$561$	0.965612	+	1.67249i	0.0407682	+	0.0706125i
$562$	−27.7152	+	2.74169i	−1.16910	+	0.115651i
$563$	10.4677	+	39.0659i	0.441160	+	1.64643i	0.725880	+	0.687821i	$0.241433\pi$
$563$	10.4677	+	39.0659i	0.441160	+	1.64643i	−0.284720	+	0.958611i	$0.591901\pi$
$564$	−1.92557	−	2.19191i	−0.0810813	−	0.0922960i
$565$	11.6701	−	28.1413i	0.490966	−	1.18391i
$566$	29.3763	+	4.83713i	1.23478	+	0.203320i
$567$	24.9936	+	24.9936i	1.04963	+	1.04963i
$568$	11.5324	+	2.67337i	0.483890	+	0.112172i
$569$	−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	$0.456481\pi$
$570$	−0.124986	−	0.536000i	−0.00523508	−	0.0224506i
$571$		−	20.5819i		−	0.861327i	−0.902513	−	0.430663i	$-0.858280\pi$
$571$		−	20.5819i		−	0.861327i	0.902513	−	0.430663i	$-0.141720\pi$
$572$	4.52705	+	31.2666i	0.189285	+	1.30732i
$573$	1.06309	+	1.06309i	0.0444111	+	0.0444111i
$574$	−24.5331	−	20.1162i	−1.02399	−	0.839634i
$575$	0.0361010	−	43.6103i	0.00150551	−	1.81868i
$576$	−23.7248	+	1.61621i	−0.988534	+	0.0673419i
$577$	−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	$0.355814\pi$
$578$	−11.4231	+	8.19311i	−0.475140	+	0.340788i
$579$	−1.09656	+	1.89930i	−0.0455716	+	0.0789324i
$580$	−0.518001	−	7.84999i	−0.0215088	−	0.325953i
$581$	−33.3099	+	57.6945i	−1.38193	+	2.39357i
$582$	−0.298246	−	3.01491i	−0.0123627	−	0.124972i
$583$	−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	−0.999999	−	0.00145137i	$-0.999538\pi$
$587$	−3.22836	+	12.0484i	−0.133249	+	0.497291i	0.866750	+	0.498743i	$0.166205\pi$
$588$	2.76842	−	1.36818i	0.114168	−	0.0564228i
$589$	−1.19742	−	0.691330i	−0.0493388	−	0.0284858i
$590$	−3.47352	−	6.49827i	−0.143002	−	0.267530i
$591$	2.13570	+	1.23305i	0.0878511	+	0.0507209i
$592$	−3.88839	+	0.518690i	−0.159812	+	0.0213180i
$593$	−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	$-0.516687\pi$
$594$	−6.05755	−	0.997442i	−0.248544	−	0.0409255i
$595$	−23.7854	−	3.14143i	−0.975107	−	0.128786i
$596$	11.0134	+	3.72802i	0.451125	+	0.152706i
$597$	1.34387	−	1.34387i	0.0550011	−	0.0550011i
$598$	−29.9952	+	32.8363i	−1.22660	+	1.34278i
$599$	−31.8420			−1.30103			−0.650515	−	0.759494i	$-0.725447\pi$
$599$	−31.8420			−1.30103			−0.650515	+	0.759494i	$0.725447\pi$
$600$	0.682094	+	2.24487i	0.0278464	+	0.0916466i
$601$	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	$0.752016\pi$
$602$	−9.29931	−	12.9655i	−0.379012	−	0.528432i
$603$	18.3642	−	18.3642i	0.747848	−	0.747848i
$604$	7.28295	+	36.4508i	0.296339	+	1.48316i
$605$	−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	−0.470968	−	0.882150i	$-0.656095\pi$
$607$	−10.7853	+	2.88992i	−0.437763	+	0.117298i	0.0332051	+	0.999449i	$0.489429\pi$
$608$	0.181478	−	5.93174i	0.00735991	−	0.240564i
$609$	1.02062	−	0.589257i	0.0413577	−	0.0238779i
$610$	−6.59041	−	12.3294i	−0.266838	−	0.499201i
$611$	−31.0180	+	6.55885i	−1.25486	+	0.265343i
$612$	−1.01961	+	15.7630i	−0.0412152	+	0.637180i
$613$	−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	$0.899462\pi$
$614$	6.78155	+	5.56062i	0.273681	+	0.224408i
$615$	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	$0.764976\pi$
$618$	−2.06463	+	1.48083i	−0.0830518	+	0.0595679i
$619$	26.6932			1.07289			0.536444	−	0.843936i	$-0.319767\pi$
$619$	26.6932			1.07289			0.536444	+	0.843936i	$0.319767\pi$
$620$	5.28744	+	2.60457i	0.212349	+	0.104602i
$621$	−4.32112	−	7.48440i	−0.173401	−	0.300339i
$622$	2.26208	+	22.8669i	0.0907010	+	0.916880i
$623$	−17.5753	+	17.5753i	−0.704141	+	0.704141i
$624$	1.02866	−	2.16027i	0.0411793	−	0.0864800i
$625$	−21.6713	+	12.4641i	−0.866852	+	0.498566i
$626$	28.8211	+	23.6322i	1.15192	+	0.944534i
$627$	0.197353	−	0.736530i	0.00788150	−	0.0294142i
$628$	−13.3940	+	20.0828i	−0.534480	+	0.801390i
$629$			2.60577i			0.103899i
$630$	27.7038	−	25.9482i	1.10375	−	1.03380i
$631$	−36.4148	−	21.0241i	−1.44965	−	0.836956i	−0.451190	−	0.892428i	$-0.649000\pi$
$631$	−36.4148	−	21.0241i	−1.44965	−	0.836956i	−0.998460	+	0.0554725i	$0.982334\pi$
$632$	5.93501	−	1.80869i	0.236082	−	0.0719458i
$633$	−1.51694	+	0.406463i	−0.0602930	+	0.0161555i
$634$	−10.7079	+	13.0590i	−0.425265	+	0.518640i
$635$	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
$638$	4.49395	−	9.92966i	0.177917	−	0.393119i
$639$	6.22057	+	10.7743i	0.246082	+	0.426226i
$640$	0.893020	+	25.2825i	0.0352997	+	0.999377i
$641$	−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	$0.295958\pi$
$642$	−1.11434	+	2.46220i	−0.0439794	+	0.0971753i
$643$	−2.79099	−	10.4161i	−0.110066	−	0.410772i	0.888805	−	0.458287i	$-0.151537\pi$
$643$	−2.79099	−	10.4161i	−0.110066	−	0.410772i	−0.998871	+	0.0475145i	$0.984870\pi$
$644$	69.0771	−	13.8018i	2.72202	−	0.543866i
$645$	0.822013	+	0.631293i	0.0323667	+	0.0248571i
$646$	−3.88966	−	0.640476i	−0.153037	−	0.0251992i
$647$	−8.12719	+	30.3311i	−0.319513	+	1.19244i	0.600201	+	0.799849i	$0.295087\pi$
$647$	−8.12719	+	30.3311i	−0.319513	+	1.19244i	−0.919714	+	0.392589i	$0.871580\pi$
$648$	−18.0912	−	16.9007i	−0.710690	−	0.663923i
$649$		−	10.2083i		−	0.400713i
$650$	24.8948	+	5.50009i	0.976453	+	0.215731i
$651$			0.882963i			0.0346060i
$652$	−18.5597	−	37.5542i	−0.726852	−	1.47074i
$653$	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	$0.0210557\pi$
$654$	0.213189	−	1.29472i	0.00833636	−	0.0506274i
$655$	12.6179	+	9.69032i	0.493020	+	0.378632i
$656$	17.6527	+	13.4974i	0.689221	+	0.526986i
$657$	−2.47280	−	9.22860i	−0.0964729	−	0.360042i
$658$	45.7487	+	20.7049i	1.78347	+	0.807159i
$659$	10.7077	−	18.5463i	0.417112	−	0.722460i	−0.578535	−	0.815657i	$-0.696376\pi$
$659$	10.7077	−	18.5463i	0.417112	−	0.722460i	0.995648	+	0.0931976i	$0.0297088\pi$
$660$	−0.632734	+	3.18833i	−0.0246291	+	0.124106i
$661$	−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	$-0.433427\pi$
$662$	−29.9283	−	13.5449i	−1.16320	−	0.526438i
$663$	−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
$666$	−3.18794	−	2.61399i	−0.123530	−	0.101290i
$667$	14.8204	−	3.97112i	0.573850	−	0.153763i
$668$	−0.922712	+	14.2650i	−0.0357008	+	0.551928i
$669$	1.48002	+	0.854492i	0.0572210	+	0.0330366i
$670$	−18.8874	−	20.1653i	−0.729684	−	0.779053i
$671$		−	19.3686i		−	0.747717i
$672$	−3.33844	+	1.79363i	−0.128783	+	0.0691908i
$673$	−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	$0.878081\pi$
$674$	1.02488	−	1.24991i	0.0394768	−	0.0481446i
$675$	−2.48067	+	4.28844i	−0.0954810	+	0.165062i
$676$	−14.9791	−	21.2515i	−0.576119	−	0.817366i
$677$	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	$-0.0851781\pi$
$678$	−3.18105	+	0.314681i	−0.122167	+	0.0120852i
$679$	26.0721	+	45.1583i	1.00056	+	1.73302i
$680$	16.7250	+	1.63258i	0.641376	+	0.0626065i
$681$	−2.44604			−0.0937325
$682$	4.75930	+	6.63560i	0.182243	+	0.254090i
$683$	−1.38670	−	5.17522i	−0.0530605	−	0.198024i	0.934308	−	0.356468i	$-0.116019\pi$
$683$	−1.38670	−	5.17522i	−0.0530605	−	0.198024i	−0.987368	+	0.158444i	$0.949352\pi$
$684$	4.68552	−	4.11619i	0.179155	−	0.157386i
$685$	−34.9849	−	14.5082i	−1.33671	−	0.554330i
$686$	−8.35309	+	10.1872i	−0.318922	+	0.388947i
$687$	0.431109	−	1.60892i	0.0164478	−	0.0613841i
$688$	6.81847	+	8.85457i	0.259952	+	0.337577i
$689$	32.1239	−	6.79269i	1.22382	−	0.258781i
$690$	−4.03551	+	2.15710i	−0.153629	+	0.0821193i
$691$	−7.14610	+	4.12580i	−0.271851	+	0.156953i	−0.629728	−	0.776815i	$-0.716834\pi$
$691$	−7.14610	+	4.12580i	−0.271851	+	0.156953i	0.357878	+	0.933768i	$0.383500\pi$
$692$	12.0506	−	5.95552i	0.458094	−	0.226395i
$693$	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
$696$	−0.700420	+	0.436797i	−0.0265494	+	0.0165568i
$697$	10.4375	−	10.4375i	0.395347	−	0.395347i
$698$	7.82422	−	5.61182i	0.296151	−	0.212411i
$699$	−0.636098	−	1.10175i	−0.0240594	−	0.0416722i
$700$	−26.6264	−	30.3598i	−1.00638	−	1.14749i
$701$	−6.26054			−0.236457			−0.118229	−	0.992986i	$-0.537722\pi$
$701$	−6.26054			−0.236457			−0.118229	+	0.992986i	$0.537722\pi$
$702$	4.81615	−	1.52675i	0.181774	−	0.0576236i
$703$	0.727502	−	0.727502i	0.0274383	−	0.0274383i
$704$	−15.4210	+	31.4741i	−0.581199	+	1.18622i
$705$	−3.23388	−	0.427110i	−0.121795	−	0.0160859i
$706$	−4.19385	+	25.4696i	−0.157838	+	0.958560i
$707$	−23.4440	−	23.4440i	−0.881703	−	0.881703i
$708$	−0.428979	+	0.643203i	−0.0161220	+	0.0241731i
$709$	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	$0.601857\pi$
$710$	11.6726	−	6.23936i	0.438066	−	0.234159i
$711$	5.64690	+	3.26024i	0.211775	+	0.122269i
$712$	11.8845	−	12.7216i	0.445390	−	0.476763i
$713$	−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
$718$	48.6663	−	4.81424i	1.81621	−	0.179666i
$719$	17.8154	−	30.8572i	0.664404	−	1.15078i	−0.315043	−	0.949077i	$-0.602019\pi$
$719$	17.8154	−	30.8572i	0.664404	−	1.15078i	0.979447	−	0.201704i	$-0.0646478\pi$
$720$	−18.7752	+	18.8240i	−0.699709	+	0.701528i
$721$	21.8653	−	37.8718i	0.814306	−	1.41042i
$722$	−14.7534	−	20.5698i	−0.549065	−	0.765528i
$723$	2.38277	−	2.38277i	0.0886161	−	0.0886161i
$724$	−44.5843	+	8.90804i	−1.65696	+	0.331065i
$725$	−6.21431	−	6.22460i	−0.230794	−	0.231176i
$726$	−1.21900	+	1.48665i	−0.0452412	+	0.0551747i
$727$	−3.29570	−	3.29570i	−0.122231	−	0.122231i	0.643345	−	0.765576i	$-0.277546\pi$
$727$	−3.29570	−	3.29570i	−0.122231	−	0.122231i	−0.765576	+	0.643345i	$0.777546\pi$
$728$	−0.799166	+	41.1737i	−0.0296191	+	1.52600i
$729$		−	25.5251i		−	0.945373i
$730$	−9.89866	+	2.30819i	−0.366366	+	0.0854299i
$731$	6.42894	−	3.71175i	0.237783	−	0.137284i
$732$	−0.813914	+	1.22037i	−0.0300831	+	0.0451061i
$733$	−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	$-0.540704\pi$
$734$	−3.58466	+	21.7699i	−0.132312	+	0.803543i
$735$	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
$738$	2.29897	+	23.2398i	0.0846262	+	0.855470i
$739$	−14.7467	−	25.5420i	−0.542465	−	0.939577i	−0.998762	−	0.0497490i	$-0.984158\pi$
$739$	−14.7467	−	25.5420i	−0.542465	−	0.939577i	0.456297	−	0.889828i	$-0.349175\pi$
$740$	−2.89034	+	3.29874i	−0.106251	+	0.121264i
$741$	0.129822	+	0.613954i	0.00476914	+	0.0225542i
$742$	−47.3797	−	21.4430i	−1.73936	−	0.787198i
$743$	7.50207	+	2.01017i	0.275224	+	0.0737461i	0.393791	−	0.919200i	$-0.371163\pi$
$743$	7.50207	+	2.01017i	0.275224	+	0.0737461i	−0.118567	+	0.992946i	$0.537830\pi$
$744$	−0.0210287	−	0.618090i	−0.000770949	−	0.0226603i
$745$	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
$748$	19.3689	+	12.9179i	0.708197	+	0.472326i
$749$		−	46.5161i		−	1.69966i
$750$	2.22645	+	1.38701i	0.0812986	+	0.0506465i
$751$	14.2732	−	8.24063i	0.520836	−	0.300705i	−0.216440	−	0.976296i	$-0.569445\pi$
$751$	14.2732	−	8.24063i	0.520836	−	0.300705i	0.737277	+	0.675591i	$0.236111\pi$
$752$	−32.5180	−	13.4042i	−1.18581	−	0.488801i
$753$	−1.25883	−	1.25883i	−0.0458742	−	0.0458742i
$754$	0.405179	+	8.96067i	0.0147557	+	0.326329i
$755$	32.9602	+	25.3130i	1.19955	+	0.921233i
$756$	−7.57994	−	2.56581i	−0.275680	−	0.0933175i
$757$	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	$0.506654\pi$
$758$	16.4845	+	22.9834i	0.598745	+	0.834793i
$759$	−6.33952			−0.230110
$760$	−4.21365	−	5.12525i	−0.152845	−	0.185912i
$761$	−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	$0.274843\pi$
$762$	0.0589053	−	0.130155i	0.00213391	−	0.00471502i
$763$	5.84517	+	21.8145i	0.211609	+	0.789737i
$764$	17.1674	+	5.81118i	0.621096	+	0.210241i
$765$	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
$768$	2.29425	−	1.33508i	0.0827867	−	0.0481756i
$769$	−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	$0.348653\pi$
$770$	−12.7048	−	54.4843i	−0.457848	−	1.96348i
$771$	1.56606	+	0.904166i	0.0564003	+	0.0325627i
$772$	−1.70659	+	26.3836i	−0.0614217	+	0.949568i
$773$	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	$0.271966\pi$
$774$	−1.90822	+	11.5888i	−0.0685894	+	0.416549i
$775$	6.36671	−	1.70031i	0.228699	−	0.0610769i
$776$	−19.3265	−	30.9907i	−0.693779	−	1.11250i
$777$	−0.634629	−	0.170048i	−0.0227672	−	0.00610045i
$778$	−5.12981	−	51.8563i	−0.183913	−	1.85914i
$779$	−5.82806			−0.208812
$780$	−0.724547	−	2.57510i	−0.0259430	−	0.0922035i
$781$	18.3369			0.656146
$782$	3.22638	+	32.6149i	0.115375	+	1.16631i
$783$	−1.68364	−	0.451129i	−0.0601682	−	0.0161220i
$784$	22.6120	−	29.5732i	0.807570	−	1.05618i
$785$	3.51167	+	26.7594i	0.125337	+	0.955084i
$786$	0.271219	−	1.64714i	0.00967408	−	0.0587515i
$787$	27.9921	−	7.50047i	0.997812	−	0.267363i	0.277283	−	0.960788i	$-0.410566\pi$
$787$	27.9921	−	7.50047i	0.997812	−	0.267363i	0.720528	+	0.693425i	$0.243899\pi$
$788$	29.6675	+	1.91901i	1.05686	+	0.0683619i
$789$	0.621254	+	0.358681i	0.0221172	+	0.0127694i
$790$	3.66303	−	5.89082i	0.130325	−	0.209586i
$791$	47.6467	−	27.5088i	1.69412	−	0.978102i
$792$	−35.2341	+	10.7376i	−1.25199	+	0.381543i
$793$	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
$796$	7.34605	−	21.7018i	0.260374	−	0.769199i
$797$	−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	$-0.328293\pi$
$798$	0.409820	−	0.905524i	0.0145075	−	0.0320552i
$799$	−11.6817	+	20.2334i	−0.413270	+	0.715805i
$800$	19.3620	+	20.6183i	0.684549	+	0.728966i
$801$	18.2959			0.646452
$802$	24.6519	+	34.3706i	0.870488	+	1.21367i
$803$	−13.6020	−	3.64463i	−0.480003	−	0.128616i
$804$	−0.929508	+	2.74596i	−0.0327812	+	0.0968427i
$805$	47.9701	−	62.4623i	1.69072	−	2.20151i
$806$	−5.96584	−	3.09385i	−0.210138	−	0.108976i
$807$	0.178217	+	0.178217i	0.00627353	+	0.00627353i
$808$	16.9696	+	15.8529i	0.596987	+	0.557703i
$809$	−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	$0.481525\pi$
$810$	−27.6648	−	0.905260i	−0.972040	−	0.0318076i
$811$			7.09300i			0.249069i	0.992215	+	0.124534i	$0.0397437\pi$
$811$			7.09300i			0.249069i	−0.992215	+	0.124534i	$0.960256\pi$
$812$	7.88305	−	11.8197i	0.276641	−	0.414791i
$813$	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
$816$	−0.677546	−	1.62785i	−0.0237189	−	0.0569862i
$817$	−2.83117	−	0.758610i	−0.0990502	−	0.0265404i
$818$	−22.7651	−	10.3030i	−0.795964	−	0.360236i
$819$	−32.1930	+	28.9252i	−1.12491	+	1.01073i
$820$	24.7905	−	1.63586i	0.865723	−	0.0571269i
$821$	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	$0.696003\pi$
$822$	0.391208	+	3.95465i	0.0136449	+	0.137934i
$823$	−2.23171	−	8.32887i	−0.0777926	−	0.290326i	0.916059	−	0.401043i	$-0.131352\pi$
$823$	−2.23171	−	8.32887i	−0.0777926	−	0.290326i	−0.993852	+	0.110717i	$0.964685\pi$
$824$	−14.4041	+	27.0317i	−0.501792	+	0.941693i
$825$	1.81448	+	3.14880i	0.0631722	+	0.109627i
$826$	2.16198	−	13.1299i	0.0752251	−	0.456848i
$827$	16.6534	+	16.6534i	0.579095	+	0.579095i	0.934654	−	0.355559i	$-0.115709\pi$
$827$	16.6534	+	16.6534i	0.579095	+	0.579095i	−0.355559	+	0.934654i	$0.615709\pi$
$828$	−43.1383	−	28.7707i	−1.49916	−	0.999850i
$829$	−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	$0.429224\pi$
$830$	−11.8472	−	50.8068i	−0.411224	−	1.76353i
$831$		−	1.18870i		−	0.0412354i
$832$	−0.421164	−	28.8413i	−0.0146012	−	0.999893i
$833$	−17.4857	−	17.4857i	−0.605843	−	0.605843i
$834$	3.02961	−	3.69481i	0.104907	−	0.127941i
$835$	9.72400	+	12.6834i	0.336513	+	0.438928i
$836$	−1.80105	−	9.01414i	−0.0622905	−	0.311760i
$837$	0.923415	−	0.923415i	0.0319179	−	0.0319179i
$838$	14.1761	+	19.7648i	0.489704	+	0.682764i
$839$	18.5133	−	32.0660i	0.639151	−	1.10704i	−0.346468	−	0.938062i	$-0.612619\pi$
$839$	18.5133	−	32.0660i	0.639151	−	1.10704i	0.985619	−	0.168981i	$-0.0540476\pi$
$840$	−1.48906	+	3.96681i	−0.0513775	+	0.136868i
$841$	−12.9527	+	22.4348i	−0.446646	+	0.773614i
$842$	14.8818	−	1.47216i	0.512860	−	0.0507340i
$843$	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
$848$	33.6773	+	13.8821i	1.15648	+	0.476713i
$849$	−3.02464	−	1.74628i	−0.103805	−	0.0599321i
$850$	15.2762	−	10.9375i	0.523968	−	0.375153i
$851$	−7.40780	−	4.27690i	−0.253936	−	0.146610i
$852$	−1.15536	−	0.770559i	−0.0395821	−	0.0263989i
$853$	−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	$0.847631\pi$
$854$	4.10200	−	24.9118i	0.140368	−	0.852463i
$855$	0.913008	−	6.91287i	0.0312242	−	0.236415i
$856$	1.10783	+	32.5621i	0.0378648	+	1.11295i
$857$	−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	$0.322228\pi$
$858$	0.796536	−	3.61954i	0.0271933	−	0.123569i
$859$	5.40656			0.184469			0.0922347	−	0.995737i	$-0.470599\pi$
$859$	5.40656			0.184469			0.0922347	+	0.995737i	$0.470599\pi$
$860$	12.2557	+	2.43219i	0.417917	+	0.0829369i
$861$	1.86089	+	3.22316i	0.0634190	+	0.109845i
$862$	38.0846	−	27.3157i	1.29717	−	0.930377i
$863$	18.7860	−	18.7860i	0.639482	−	0.639482i	−0.310946	−	0.950428i	$-0.600646\pi$
$863$	18.7860	−	18.7860i	0.639482	−	0.639482i	0.950428	+	0.310946i	$0.100646\pi$
$864$	5.36720	+	1.61559i	0.182596	+	0.0549634i
$865$	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
$868$	4.71606	+	9.54261i	0.160073	+	0.323897i
$869$	8.32293	−	4.80524i	0.282336	−	0.163007i
$870$	−0.267888	+	0.883154i	−0.00908227	+	0.0299417i
$871$	21.0543	+	23.4329i	0.713398	+	0.793994i
$872$	−4.61126	−	15.1313i	−0.156157	−	0.512411i
$873$	9.93429	−	37.0753i	0.336225	−	1.25481i
$874$	8.20496	−	10.0065i	0.277537	−	0.338475i
$875$	−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	$-0.185857\pi$
$878$	−5.45950	−	7.61185i	−0.184249	−	0.256887i
$879$	3.89869			0.131500
$880$	10.1912	+	37.8374i	0.343544	+	1.27550i
$881$	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	$0.819836\pi$
$882$	38.9332	−	3.85141i	1.31095	−	0.129684i
$883$	12.1044	−	12.1044i	0.407345	−	0.407345i	−0.473467	−	0.880812i	$-0.656998\pi$
$883$	12.1044	−	12.1044i	0.407345	−	0.407345i	0.880812	+	0.473467i	$0.156998\pi$
$884$	−19.0268	−	2.25584i	−0.639942	−	0.0758721i
$885$	0.112471	+	0.857039i	0.00378065	+	0.0288091i
$886$	−17.7016	+	21.5883i	−0.594696	+	0.725272i
$887$	−11.7008	+	43.6679i	−0.392874	+	1.46623i	0.432497	+	0.901635i	$0.357633\pi$
$887$	−11.7008	+	43.6679i	−0.392874	+	1.46623i	−0.825371	+	0.564590i	$0.809034\pi$
$888$	0.448302	+	0.103923i	0.0150440	+	0.00348741i
$889$			2.45890i			0.0824688i
$890$	0.636573	−	19.4537i	0.0213380	−	0.652089i
$891$	−33.2104	−	19.1740i	−1.11259	−	0.642354i
$892$	20.5593	+	1.32986i	0.688377	+	0.0445269i
$893$	8.91035	−	2.38752i	0.298174	−	0.0798954i
$894$	−1.05475	−	0.864859i	−0.0352762	−	0.0289252i
$895$	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
$898$	3.39029	+	1.53437i	0.113135	+	0.0512026i
$899$	1.15924	+	2.00786i	0.0386628	+	0.0669659i
$900$	−1.94326	+	29.6612i	−0.0647752	+	0.988706i
$901$	12.0982	−	20.9547i	0.403050	−	0.698102i
$902$	31.3582	+	14.1920i	1.04411	+	0.472543i
$903$	0.484446	+	1.80798i	0.0161214	+	0.0601658i
$904$	−32.6984	+	20.3914i	−1.08753	+	0.678209i
$905$	−30.9612	+	40.3149i	−1.02919	+	1.34011i
$906$	0.708477	−	4.30264i	0.0235376	−	0.142946i
$907$	−6.56952	+	24.5178i	−0.218137	+	0.814099i	0.766901	+	0.641765i	$0.221798\pi$
$907$	−6.56952	+	24.5178i	−0.218137	+	0.814099i	−0.985039	+	0.172334i	$0.944869\pi$
$908$	−26.4356	+	13.0647i	−0.877295	+	0.433568i
$909$			24.4051i			0.809466i
$910$	29.6356	+	35.2367i	0.982409	+	1.16808i
$911$			54.7758i			1.81480i	0.420264	+	0.907402i	$0.361938\pi$
$911$			54.7758i			1.81480i	−0.420264	+	0.907402i	$0.638062\pi$
$912$	−0.265316	+	0.643643i	−0.00878548	+	0.0213131i
$913$	18.7068	−	69.8147i	0.619105	−	2.31053i
$914$	−2.51443	−	0.414029i	−0.0831701	−	0.0136949i
$915$	0.213394	+	1.62609i	0.00705458	+	0.0537568i
$916$	−3.93431	−	19.6910i	−0.129993	−	0.650610i
$917$	7.43623	+	27.7524i	0.245566	+	0.916464i
$918$	1.53514	−	3.39200i	0.0506673	−	0.111953i
$919$	4.11588	−	7.12891i	0.135770	−	0.235161i	−0.790121	−	0.612951i	$-0.789982\pi$
$919$	4.11588	−	7.12891i	0.135770	−	0.235161i	0.925891	+	0.377790i	$0.123316\pi$
$920$	−32.0923	+	44.8672i	−1.05805	+	1.47923i
$921$	−0.514397	−	0.890962i	−0.0169500	−	0.0293582i
$922$	0.104244	−	0.230334i	0.00343310	−	0.00758565i
$923$	−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
$926$	9.50704	−	11.5945i	0.312421	−	0.381018i
$927$	−31.0930	+	8.33134i	−1.02123	+	0.273637i
$928$	−5.23678	+	8.46175i	−0.171906	+	0.277771i
$929$	−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	$0.666773\pi$
$930$	−0.472674	−	0.504654i	−0.0154996	−	0.0165483i
$931$			9.76364i			0.319990i
$932$	−12.7593	−	8.50969i	−0.417944	−	0.278744i
$933$	0.697679	−	2.60377i	0.0228410	−	0.0852437i
$934$	−1.53531	−	1.25890i	−0.0502370	−	0.0411925i
$935$	25.8082	−	3.38685i	0.844018	−	0.110762i
$936$	21.8468	−	21.0148i	0.714084	−	0.686891i
$937$	−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	$0.966705\pi$
$938$	−4.91194	−	49.6539i	−0.160381	−	1.62126i
$939$	−2.18615	−	3.78653i	−0.0713424	−	0.123569i
$940$	−37.2314	+	12.6567i	−1.21435	+	0.412816i
$941$	−35.8926			−1.17006			−0.585032	−	0.811010i	$-0.698918\pi$
$941$	−35.8926			−1.17006			−0.585032	+	0.811010i	$0.698918\pi$
$942$	2.30113	−	1.65046i	0.0749750	−	0.0537749i
$943$	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
$946$	13.3860	+	10.9760i	0.435215	+	0.356860i
$947$	0.116383	−	0.434348i	0.00378195	−	0.0141144i	−0.964009	−	0.265869i	$-0.914341\pi$
$947$	0.116383	−	0.434348i	0.00378195	−	0.0141144i	0.967791	+	0.251755i	$0.0810077\pi$
$948$	−0.726335	−	0.0469821i	−0.0235903	−	0.00152591i
$949$	11.3383	−	2.39751i	0.368056	−	0.0778265i
$950$	−7.31858	−	1.21131i	−0.237446	−	0.0393000i
$951$	1.71570	−	0.990558i	0.0556353	−	0.0321211i
$952$	22.1763	+	20.7170i	0.718739	+	0.671442i
$953$	−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
$956$	31.2845	−	6.25071i	1.01181	−	0.202162i
$957$	−0.904106	+	0.904106i	−0.0292256	+	0.0292256i
$958$	−21.4696	−	29.9338i	−0.693652	−	0.967116i
$959$	−34.1987	−	59.2339i	−1.10433	−	1.91276i
$960$	0.947896	−	2.81230i	0.0305932	−	0.0907666i
$961$	29.2630			0.943966
$962$	3.37265	−	3.69210i	0.108739	−	0.119038i
$963$	−24.2115	+	24.2115i	−0.780205	+	0.780205i
$964$	13.0250	−	38.4785i	0.419506	−	1.23931i
$965$	17.9849	+	23.4585i	0.578956	+	0.755157i
$966$	−8.15385	−	1.34262i	−0.262346	−	0.0431981i
$967$	−30.9943	−	30.9943i	−0.996708	−	0.996708i	0.00328642	−	0.999995i	$-0.498954\pi$
$967$	−30.9943	−	30.9943i	−0.996708	−	0.996708i	−0.999995	+	0.00328642i	$0.998954\pi$
$968$	−5.23385	+	22.5778i	−0.168222	+	0.725678i
$969$	0.400488	+	0.231222i	0.0128655	+	0.00742791i
$970$	−39.0759	−	11.8529i	−1.25465	−	0.380575i
$971$	−22.3829	−	12.9228i	−0.718303	−	0.414712i	0.0958251	−	0.995398i	$-0.469451\pi$
$971$	−22.3829	−	12.9228i	−0.718303	−	0.414712i	−0.814128	+	0.580686i	$0.802784\pi$
$972$	3.92078	+	7.93342i	0.125759	+	0.254465i
$973$	−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	$0.592229\pi$
$978$	0.483764	+	4.89028i	0.0154691	+	0.156374i
$979$	13.4831	−	23.3533i	0.430920	−	0.746376i
$980$	−2.74053	−	41.5311i	−0.0875431	−	1.32666i
$981$	8.31198	−	14.3968i	0.265381	−	0.459654i
$982$	−2.21742	+	1.59042i	−0.0707608	+	0.0507523i
$983$	22.3263	−	22.3263i	0.712098	−	0.712098i	−0.254876	−	0.966974i	$-0.582035\pi$
$983$	22.3263	−	22.3263i	0.712098	−	0.712098i	0.966974	+	0.254876i	$0.0820346\pi$
$984$	−1.37942	−	2.21195i	−0.0439743	−	0.0705144i
$985$	26.3783	−	20.2235i	0.840484	−	0.644374i
$986$	5.11148	+	4.19122i	0.162783	+	0.133476i
$987$	−4.16546	−	4.16546i	−0.132588	−	0.132588i
$988$	4.68229	+	5.94190i	0.148963	+	0.189037i
$989$			24.3687i			0.774879i
$990$	−21.7462	+	34.9718i	−0.691138	+	1.11148i
$991$	11.4109	−	6.58810i	0.362480	−	0.209278i	−0.307688	−	0.951487i	$-0.599555\pi$
$991$	11.4109	−	6.58810i	0.362480	−	0.209278i	0.670168	+	0.742209i	$0.266222\pi$
$992$	−3.52859	−	6.56768i	−0.112033	−	0.208524i
$993$	2.72500	+	2.72500i	0.0864753	+	0.0864753i
$994$	23.5848	+	3.88350i	0.748065	+	0.123177i
$995$	−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	$0.785946\pi$
$998$	13.9811	−	1.38306i	0.442565	−	0.0437801i
$999$	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.3.2	✓	144
4.3	odd	2	inner	260.2.bj.c.3.8	yes	144
5.2	odd	4	inner	260.2.bj.c.107.17	yes	144
13.9	even	3	inner	260.2.bj.c.243.26	yes	144
20.7	even	4	inner	260.2.bj.c.107.26	yes	144
52.35	odd	6	inner	260.2.bj.c.243.17	yes	144
65.22	odd	12	inner	260.2.bj.c.87.8	yes	144
260.87	even	12	inner	260.2.bj.c.87.2	yes	144

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

\(f(q)\)	\(=\)	\(q+(-1.40734 + 0.139220i) q^{2} +(0.160249 + 0.0429387i) q^{3} +(1.96124 - 0.391860i) q^{4} +(1.36197 - 1.77343i) q^{5} +(-0.231504 - 0.0381197i) q^{6} +(3.90057 - 1.04516i) q^{7} +(-2.70558 + 0.824524i) q^{8} +(-2.57424 - 1.48624i) q^{9} +O(q^{10})\)	\(q+(-1.40734 + 0.139220i) q^{2} +(0.160249 + 0.0429387i) q^{3} +(1.96124 - 0.391860i) q^{4} +(1.36197 - 1.77343i) q^{5} +(-0.231504 - 0.0381197i) q^{6} +(3.90057 - 1.04516i) q^{7} +(-2.70558 + 0.824524i) q^{8} +(-2.57424 - 1.48624i) q^{9} +(-1.66986 + 2.68544i) q^{10} +(-3.79415 + 2.19056i) q^{11} +(0.331113 + 0.0214176i) q^{12} +(1.96692 - 3.02179i) q^{13} +(-5.34394 + 2.01393i) q^{14} +(0.294403 - 0.225710i) q^{15} +(3.69289 - 1.53706i) q^{16} +(-0.687689 - 2.56649i) q^{17} +(3.82976 + 1.73326i) q^{18} +(-0.524542 + 0.908533i) q^{19} +(1.97620 - 4.01181i) q^{20} +0.669942 q^{21} +(5.03471 - 3.61109i) q^{22} +(8.42487 + 2.25744i) q^{23} +(-0.468971 + 0.0159554i) q^{24} +(-1.29010 - 4.83070i) q^{25} +(-2.34744 + 4.52654i) q^{26} +(-0.700635 - 0.700635i) q^{27} +(7.24039 - 3.57827i) q^{28} +(1.52345 - 0.879564i) q^{29} +(-0.382903 + 0.358638i) q^{30} +1.31797i q^{31} +(-4.98318 + 2.67729i) q^{32} +(-0.702070 + 0.188119i) q^{33} +(1.32512 + 3.51620i) q^{34} +(3.45894 - 8.34086i) q^{35} +(-5.63109 - 1.90612i) q^{36} +(-0.947290 - 0.253826i) q^{37} +(0.611725 - 1.35165i) q^{38} +(0.444949 - 0.399784i) q^{39} +(-2.22267 + 5.92113i) q^{40} +(2.77769 + 4.81110i) q^{41} +(-0.942839 + 0.0932690i) q^{42} +(0.723117 + 2.69871i) q^{43} +(-6.58284 + 5.78297i) q^{44} +(-6.14176 + 2.54102i) q^{45} +(-12.1710 - 2.00409i) q^{46} +(-6.21765 - 6.21765i) q^{47} +(0.657783 - 0.0877446i) q^{48} +(8.05995 - 4.65341i) q^{49} +(2.48814 + 6.61885i) q^{50} -0.440807i q^{51} +(2.67347 - 6.69721i) q^{52} +(6.43932 + 6.43932i) q^{53} +(1.08358 + 0.888493i) q^{54} +(-1.28271 + 9.71212i) q^{55} +(-9.69156 + 6.04387i) q^{56} +(-0.123069 + 0.123069i) q^{57} +(-2.02157 + 1.44994i) q^{58} +(-1.16504 + 2.01791i) q^{59} +(0.488947 - 0.558034i) q^{60} +(-2.21047 + 3.82864i) q^{61} +(-0.183487 - 1.85484i) 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} +(-2.35443 - 4.76402i) q^{68} +(1.25315 + 0.723506i) q^{69} +(-3.70671 + 12.2200i) q^{70} +(-3.62470 - 2.09272i) q^{71} +(8.19025 + 1.89861i) q^{72} +(2.27279 + 2.27279i) q^{73} +(1.36850 + 0.225339i) q^{74} +(0.000686676 - 0.829511i) q^{75} +(-0.672733 + 1.98739i) q^{76} +(-12.5099 + 12.5099i) q^{77} +(-0.570539 + 0.624579i) q^{78} -2.19362 q^{79} +(2.30373 - 8.64250i) q^{80} +(4.37652 + 7.58036i) q^{81} +(-4.57897 - 6.38417i) q^{82} +(-11.6655 + 11.6655i) q^{83} +(1.31391 - 0.262523i) q^{84} +(-5.48810 - 2.27591i) q^{85} +(-1.39339 - 3.69734i) q^{86} +(0.281899 - 0.0755346i) q^{87} +(8.45922 - 9.05509i) q^{88} +(-5.33046 + 3.07754i) q^{89} +(8.28982 - 4.43115i) q^{90} +(4.51386 - 13.8425i) q^{91} +(17.4078 + 1.12600i) q^{92} +(-0.0565919 + 0.211204i) q^{93} +(9.61599 + 7.88475i) q^{94} +(0.896810 + 2.16763i) q^{95} +(-0.913511 + 0.215063i) q^{96} +(3.34209 + 12.4729i) q^{97} +(-10.6953 + 7.67106i) 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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