LMFDB - Embedded newform 260.2.bj.c.3.14

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			3.14
Character	$\chi$	$=$	260.3
Dual form			260.2.bj.c.87.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.594250 + 1.28330i) q^{2} +(0.960123 + 0.257264i) q^{3} +(-1.29373 - 1.52521i) q^{4} +(1.38665 + 1.75420i) q^{5} +(-0.900701 + 1.07925i) q^{6} +(4.50882 - 1.20813i) q^{7} +(2.72610 - 0.753900i) q^{8} +(-1.74242 - 1.00599i) q^{9} +O(q^{10})$	\(q+(-0.594250 + 1.28330i) q^{2} +(0.960123 + 0.257264i) q^{3} +(-1.29373 - 1.52521i) q^{4} +(1.38665 + 1.75420i) q^{5} +(-0.900701 + 1.07925i) q^{6} +(4.50882 - 1.20813i) q^{7} +(2.72610 - 0.753900i) q^{8} +(-1.74242 - 1.00599i) q^{9} +(-3.07518 + 0.737057i) q^{10} +(2.47152 - 1.42694i) q^{11} +(-0.849763 - 1.79722i) q^{12} +(-3.29300 - 1.46837i) q^{13} +(-1.12896 + 6.50412i) q^{14} +(0.880059 + 2.04098i) q^{15} +(-0.652504 + 3.94642i) q^{16} +(0.731935 + 2.73162i) q^{17} +(2.32643 - 1.63825i) q^{18} +(-2.80586 + 4.85990i) q^{19} +(0.881560 - 4.38439i) q^{20} +4.63983 q^{21} +(0.362488 + 4.01967i) q^{22} +(0.737785 + 0.197689i) q^{23} +(2.81135 - 0.0225083i) q^{24} +(-1.15442 + 4.86491i) q^{25} +(3.84124 - 3.35334i) q^{26} +(-3.52271 - 3.52271i) q^{27} +(-7.67587 - 5.31387i) q^{28} +(1.76455 - 1.01876i) q^{29} +(-3.14217 - 0.0834694i) q^{30} +0.616320i q^{31} +(-4.67670 - 3.18252i) q^{32} +(2.74007 - 0.734199i) q^{33} +(-3.94045 - 0.683970i) q^{34} +(8.37145 + 6.23410i) q^{35} +(0.719894 + 3.95904i) q^{36} +(-11.0713 - 2.96653i) q^{37} +(-4.56934 - 6.48877i) q^{38} +(-2.78393 - 2.25699i) q^{39} +(5.10263 + 3.73673i) q^{40} +(-0.237342 - 0.411088i) q^{41} +(-2.75722 + 5.95431i) q^{42} +(-1.74321 - 6.50575i) q^{43} +(-5.37387 - 1.92351i) q^{44} +(-0.651423 - 4.45151i) q^{45} +(-0.692123 + 0.829325i) q^{46} +(4.37375 + 4.37375i) q^{47} +(-1.64176 + 3.62118i) q^{48} +(12.8077 - 7.39452i) q^{49} +(-5.55714 - 4.37244i) q^{50} +2.81099i q^{51} +(2.02070 + 6.92219i) q^{52} +(-3.21867 - 3.21867i) q^{53} +(6.61408 - 2.42734i) q^{54} +(5.93026 + 2.35689i) q^{55} +(11.3807 - 6.69270i) q^{56} +(-3.94425 + 3.94425i) q^{57} +(0.258799 + 2.86986i) q^{58} +(0.861114 - 1.49149i) q^{59} +(1.97435 - 3.98276i) q^{60} +(-3.91442 + 6.77998i) q^{61} +(-0.790925 - 0.366248i) q^{62} +(-9.07165 - 2.43074i) q^{63} +(6.86327 - 4.11042i) q^{64} +(-1.99041 - 7.81270i) q^{65} +(-0.686085 + 3.95263i) q^{66} +(2.52969 - 9.44094i) q^{67} +(3.21935 - 4.65034i) q^{68} +(0.657506 + 0.379611i) q^{69} +(-12.9750 + 7.03849i) q^{70} +(-3.48996 - 2.01493i) q^{71} +(-5.50844 - 1.42882i) q^{72} +(-2.24026 - 2.24026i) q^{73} +(10.3860 - 12.4449i) q^{74} +(-2.35995 + 4.37392i) q^{75} +(11.0424 - 2.00790i) q^{76} +(9.41973 - 9.41973i) q^{77} +(4.55076 - 2.23141i) q^{78} +2.80884 q^{79} +(-7.82760 + 4.32767i) q^{80} +(0.541998 + 0.938767i) q^{81} +(0.668592 - 0.0602925i) q^{82} +(6.71152 - 6.71152i) q^{83} +(-6.00271 - 7.07670i) q^{84} +(-3.77687 + 5.07175i) q^{85} +(9.38476 + 1.62897i) q^{86} +(1.95628 - 0.524183i) q^{87} +(5.66186 - 5.75325i) q^{88} +(-4.67764 + 2.70063i) q^{89} +(6.09975 + 1.80934i) q^{90} +(-16.6216 - 2.64224i) q^{91} +(-0.652981 - 1.38103i) q^{92} +(-0.158557 + 0.591743i) q^{93} +(-8.21195 + 3.01375i) q^{94} +(-12.4160 + 1.81692i) q^{95} +(-3.67146 - 4.25876i) q^{96} +(-0.215922 - 0.805833i) q^{97} +(1.87845 + 20.8303i) q^{98} -5.74193 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 $

$2$	−0.594250	+	1.28330i	−0.420198	+	0.907432i
$2$	−0.594250	+	1.28330i	−0.420198	+	0.907432i
$3$	0.960123	+	0.257264i	0.554327	+	0.148532i	0.525099	−	0.851041i	$-0.324028\pi$
$3$	0.960123	+	0.257264i	0.554327	+	0.148532i	0.0292284	+	0.999573i	$0.490695\pi$
$4$	−1.29373	−	1.52521i	−0.646867	−	0.762603i
$5$	1.38665	+	1.75420i	0.620127	+	0.784501i
$5$	1.38665	+	1.75420i	0.620127	+	0.784501i
$6$	−0.900701	+	1.07925i	−0.367710	+	0.440602i
$7$	4.50882	−	1.20813i	1.70417	−	0.456632i	0.730189	−	0.683246i	$-0.239432\pi$
$7$	4.50882	−	1.20813i	1.70417	−	0.456632i	0.973985	+	0.226614i	$0.0727655\pi$
$8$	2.72610	−	0.753900i	0.963823	−	0.266544i
$9$	−1.74242	−	1.00599i	−0.580808	−	0.335330i
$10$	−3.07518	+	0.737057i	−0.972458	+	0.233078i
$11$	2.47152	−	1.42694i	0.745193	−	0.430237i	−0.0787616	−	0.996893i	$-0.525097\pi$
$11$	2.47152	−	1.42694i	0.745193	−	0.430237i	0.823954	+	0.566656i	$0.191763\pi$
$12$	−0.849763	−	1.79722i	−0.245306	−	0.518812i
$13$	−3.29300	−	1.46837i	−0.913315	−	0.407254i
$13$	−3.29300	−	1.46837i	−0.913315	−	0.407254i
$14$	−1.12896	+	6.50412i	−0.301728	+	1.73830i
$15$	0.880059	+	2.04098i	0.227230	+	0.526979i
$16$	−0.652504	+	3.94642i	−0.163126	+	0.986605i
$17$	0.731935	+	2.73162i	0.177520	+	0.662515i	0.996109	+	0.0881342i	$0.0280904\pi$
$17$	0.731935	+	2.73162i	0.177520	+	0.662515i	−0.818588	+	0.574381i	$0.805243\pi$
$18$	2.32643	−	1.63825i	0.548344	−	0.386139i
$19$	−2.80586	+	4.85990i	−0.643709	+	1.11494i	0.340889	+	0.940104i	$0.389272\pi$
$19$	−2.80586	+	4.85990i	−0.643709	+	1.11494i	−0.984598	+	0.174833i	$0.944061\pi$
$20$	0.881560	−	4.38439i	0.197123	−	0.980379i
$21$	4.63983			1.01249
$22$	0.362488	+	4.01967i	0.0772826	+	0.856997i
$23$	0.737785	+	0.197689i	0.153839	+	0.0412210i	0.334917	−	0.942248i	$-0.391292\pi$
$23$	0.737785	+	0.197689i	0.153839	+	0.0412210i	−0.181078	+	0.983469i	$0.557959\pi$
$24$	2.81135	−	0.0225083i	0.573863	−	0.00459448i
$25$	−1.15442	+	4.86491i	−0.230884	+	0.972981i
$26$	3.84124	−	3.35334i	0.753329	−	0.657644i
$27$	−3.52271	−	3.52271i	−0.677947	−	0.677947i
$28$	−7.67587	−	5.31387i	−1.45060	−	1.00423i
$29$	1.76455	−	1.01876i	0.327669	−	0.189180i	−0.327137	−	0.944977i	$-0.606084\pi$
$29$	1.76455	−	1.01876i	0.327669	−	0.189180i	0.654806	+	0.755797i	$0.272750\pi$
$30$	−3.14217	−	0.0834694i	−0.573679	−	0.0152394i
$31$			0.616320i			0.110694i	0.998467	+	0.0553471i	$0.0176265\pi$
$31$			0.616320i			0.110694i	−0.998467	+	0.0553471i	$0.982373\pi$
$32$	−4.67670	−	3.18252i	−0.826732	−	0.562595i
$33$	2.74007	−	0.734199i	0.476984	−	0.127808i
$34$	−3.94045	−	0.683970i	−0.675781	−	0.117300i
$35$	8.37145	+	6.23410i	1.41503	+	1.05376i
$36$	0.719894	+	3.95904i	0.119982	+	0.659840i
$37$	−11.0713	−	2.96653i	−1.82010	−	0.487695i	−0.823300	−	0.567606i	$-0.807870\pi$
$37$	−11.0713	−	2.96653i	−1.82010	−	0.487695i	−0.996802	+	0.0799110i	$0.974536\pi$
$38$	−4.56934	−	6.48877i	−0.741244	−	1.05262i
$39$	−2.78393	−	2.25699i	−0.445785	−	0.361408i
$40$	5.10263	+	3.73673i	0.806797	+	0.590829i
$41$	−0.237342	−	0.411088i	−0.0370666	−	0.0642012i	0.846897	−	0.531757i	$-0.178468\pi$
$41$	−0.237342	−	0.411088i	−0.0370666	−	0.0642012i	−0.883964	+	0.467556i	$0.845135\pi$
$42$	−2.75722	+	5.95431i	−0.425448	+	0.918770i
$43$	−1.74321	−	6.50575i	−0.265837	−	0.992118i	−0.961736	−	0.273978i	$-0.911660\pi$
$43$	−1.74321	−	6.50575i	−0.265837	−	0.992118i	0.695899	−	0.718140i	$-0.255006\pi$
$44$	−5.37387	−	1.92351i	−0.810141	−	0.289980i
$45$	−0.651423	−	4.45151i	−0.0971085	−	0.663592i
$46$	−0.692123	+	0.829325i	−0.102048	+	0.122277i
$47$	4.37375	+	4.37375i	0.637977	+	0.637977i	0.950056	−	0.312079i	$-0.101025\pi$
$47$	4.37375	+	4.37375i	0.637977	+	0.637977i	−0.312079	+	0.950056i	$0.601025\pi$
$48$	−1.64176	+	3.62118i	−0.236967	+	0.522673i
$49$	12.8077	−	7.39452i	1.82967	−	1.05636i
$50$	−5.55714	−	4.37244i	−0.785898	−	0.618357i
$51$			2.81099i			0.393618i
$52$	2.02070	+	6.92219i	0.280220	+	0.959936i
$53$	−3.21867	−	3.21867i	−0.442118	−	0.442118i	0.450605	−	0.892723i	$-0.351208\pi$
$53$	−3.21867	−	3.21867i	−0.442118	−	0.442118i	−0.892723	+	0.450605i	$0.851208\pi$
$54$	6.61408	−	2.42734i	0.900063	−	0.330319i
$55$	5.93026	+	2.35689i	0.799636	+	0.317803i
$56$	11.3807	−	6.69270i	1.52081	−	0.894349i
$57$	−3.94425	+	3.94425i	−0.522429	+	0.522429i
$58$	0.258799	+	2.86986i	0.0339820	+	0.376831i
$59$	0.861114	−	1.49149i	0.112107	−	0.194176i	−0.804512	−	0.593936i	$-0.797573\pi$
$59$	0.861114	−	1.49149i	0.112107	−	0.194176i	0.916620	+	0.399760i	$0.130907\pi$
$60$	1.97435	−	3.98276i	0.254888	−	0.514172i
$61$	−3.91442	+	6.77998i	−0.501191	+	0.868088i	0.498808	+	0.866712i	$0.333771\pi$
$61$	−3.91442	+	6.77998i	−0.501191	+	0.868088i	−0.999999	+	0.00137530i	$0.999562\pi$
$62$	−0.790925	−	0.366248i	−0.100448	−	0.0465135i
$63$	−9.07165	−	2.43074i	−1.14292	−	0.306245i
$64$	6.86327	−	4.11042i	0.857909	−	0.513802i
$65$	−1.99041	−	7.81270i	−0.246880	−	0.969046i
$66$	−0.686085	+	3.95263i	−0.0844512	+	0.486536i
$67$	2.52969	−	9.44094i	0.309051	−	1.15339i	−0.620351	−	0.784325i	$-0.713010\pi$
$67$	2.52969	−	9.44094i	0.309051	−	1.15339i	0.929402	−	0.369070i	$-0.120324\pi$
$68$	3.21935	−	4.65034i	0.390404	−	0.563937i
$69$	0.657506	+	0.379611i	0.0791544	+	0.0456998i
$70$	−12.9750	+	7.03849i	−1.55081	+	0.841260i
$71$	−3.48996	−	2.01493i	−0.414182	−	0.239128i	0.278403	−	0.960464i	$-0.410195\pi$
$71$	−3.48996	−	2.01493i	−0.414182	−	0.239128i	−0.692585	+	0.721336i	$0.743528\pi$
$72$	−5.50844	−	1.42882i	−0.649176	−	0.168388i
$73$	−2.24026	−	2.24026i	−0.262203	−	0.262203i	0.563746	−	0.825948i	$-0.309360\pi$
$73$	−2.24026	−	2.24026i	−0.262203	−	0.262203i	−0.825948	+	0.563746i	$0.809360\pi$
$74$	10.3860	−	12.4449i	1.20735	−	1.44669i
$75$	−2.35995	+	4.37392i	−0.272504	+	0.505057i
$76$	11.0424	−	2.00790i	1.26665	−	0.230322i
$77$	9.41973	−	9.41973i	1.07348	−	1.07348i
$78$	4.55076	−	2.23141i	0.515272	−	0.252657i
$79$	2.80884			0.316019			0.158009	−	0.987438i	$-0.449492\pi$
$79$	2.80884			0.316019			0.158009	+	0.987438i	$0.449492\pi$
$80$	−7.82760	+	4.32767i	−0.875152	+	0.483848i
$81$	0.541998	+	0.938767i	0.0602219	+	0.104307i
$82$	0.668592	−	0.0602925i	0.0738336	−	0.00665820i
$83$	6.71152	−	6.71152i	0.736685	−	0.736685i	−0.235250	−	0.971935i	$-0.575591\pi$
$83$	6.71152	−	6.71152i	0.736685	−	0.736685i	0.971935	+	0.235250i	$0.0755910\pi$
$84$	−6.00271	−	7.07670i	−0.654949	−	0.772131i
$85$	−3.77687	+	5.07175i	−0.409659	+	0.550109i
$86$	9.38476	+	1.62897i	1.01198	+	0.175657i
$87$	1.95628	−	0.524183i	0.209735	−	0.0561983i
$88$	5.66186	−	5.75325i	0.603557	−	0.613299i
$89$	−4.67764	+	2.70063i	−0.495828	+	0.286267i	−0.726989	−	0.686649i	$-0.759081\pi$
$89$	−4.67764	+	2.70063i	−0.495828	+	0.286267i	0.231161	+	0.972916i	$0.425748\pi$
$90$	6.09975	+	1.80934i	0.642970	+	0.190721i
$91$	−16.6216	−	2.64224i	−1.74241	−	0.276982i
$92$	−0.652981	−	1.38103i	−0.0680780	−	0.143982i
$93$	−0.158557	+	0.591743i	−0.0164416	+	0.0613608i
$94$	−8.21195	+	3.01375i	−0.846998	+	0.310844i
$95$	−12.4160	+	1.81692i	−1.27385	+	0.186412i
$96$	−3.67146	−	4.25876i	−0.374717	−	0.434658i
$97$	−0.215922	−	0.805833i	−0.0219236	−	0.0818200i	0.954097	−	0.299497i	$-0.0968188\pi$
$97$	−0.215922	−	0.805833i	−0.0219236	−	0.0818200i	−0.976021	+	0.217677i	$0.930152\pi$
$98$	1.87845	+	20.8303i	0.189752	+	2.10418i
$99$	−5.74193			−0.577085
$100$	8.91350	−	4.53317i	0.891350	−	0.453317i
$101$	0.627234	+	1.08640i	0.0624122	+	0.108101i	0.895543	−	0.444975i	$-0.146787\pi$
$101$	0.627234	+	1.08640i	0.0624122	+	0.108101i	−0.833131	+	0.553076i	$0.813454\pi$
$102$	−3.60735	−	1.67043i	−0.357181	−	0.165397i
$103$	−9.67846	+	9.67846i	−0.953647	+	0.953647i	−0.998972	−	0.0453257i	$-0.985567\pi$
$103$	−9.67846	+	9.67846i	−0.953647	+	0.953647i	0.0453257	+	0.998972i	$0.485567\pi$
$104$	−10.0841	−	1.52034i	−0.988825	−	0.149082i
$105$	6.43381	+	8.13918i	0.627875	+	0.794303i
$106$	6.04322	−	2.21783i	0.586969	−	0.215415i
$107$	−2.55936	+	9.55168i	−0.247423	+	0.923395i	0.724727	+	0.689036i	$0.241966\pi$
$107$	−2.55936	+	9.55168i	−0.247423	+	0.923395i	−0.972150	+	0.234359i	$0.924701\pi$
$108$	−0.815407	+	9.93032i	−0.0784626	+	0.955545i
$109$			11.6658i			1.11738i	0.829376	+	0.558691i	$0.188696\pi$
$109$			11.6658i			1.11738i	−0.829376	+	0.558691i	$0.811304\pi$
$110$	−6.54866	+	6.20974i	−0.624390	+	0.592075i
$111$	−9.86658	−	5.69647i	−0.936494	−	0.540685i
$112$	1.82579	+	18.5820i	0.172521	+	1.75583i
$113$	20.2424	−	5.42395i	1.90425	−	0.510242i	0.908529	−	0.417822i	$-0.137207\pi$
$113$	20.2424	−	5.42395i	1.90425	−	0.510242i	0.995720	−	0.0924196i	$-0.0294601\pi$
$114$	−2.71780	−	7.40554i	−0.254545	−	0.693592i
$115$	0.676262	+	1.56835i	0.0630617	+	0.146249i
$116$	−3.83669	−	1.37329i	−0.356227	−	0.127507i
$117$	4.26064	+	5.87126i	0.393897	+	0.542798i
$118$	1.40232	+	1.99139i	0.129094	+	0.183322i
$119$	6.60033	+	11.4321i	0.605051	+	1.04798i
$120$	3.93783	+	4.90045i	0.359473	+	0.447347i
$121$	−1.42771	+	2.47287i	−0.129792	+	0.224806i
$122$	−6.37462	−	9.05239i	−0.577131	−	0.819565i
$123$	−0.122119	−	0.455755i	−0.0110111	−	0.0410941i
$124$	0.940014	−	0.797354i	0.0844157	−	0.0716045i
$125$	−10.1348	+	4.72082i	−0.906482	+	0.422243i
$126$	8.51020	−	10.1972i	0.758149	−	0.908439i
$127$	3.09828	−	11.5630i	0.274928	−	1.02605i	−0.680961	−	0.732320i	$-0.738438\pi$
$127$	3.09828	−	11.5630i	0.274928	−	1.02605i	0.955889	−	0.293727i	$-0.0948956\pi$
$128$	1.19642	+	11.2503i	0.105749	+	0.994393i
$129$		−	6.69479i		−	0.589443i
$130$	11.2089	+	2.08839i	0.983082	+	0.183164i
$131$			1.89954i			0.165964i	0.996551	+	0.0829818i	$0.0264443\pi$
$131$			1.89954i			0.165964i	−0.996551	+	0.0829818i	$0.973556\pi$
$132$	−4.66472	−	3.22931i	−0.406012	−	0.281075i
$133$	−6.77972	+	25.3023i	−0.587876	+	2.19398i
$134$	10.6123	+	8.85664i	0.916765	+	0.765097i
$135$	1.29478	−	11.0643i	0.111437	−	0.952263i
$136$	4.05470	+	6.89487i	0.347688	+	0.591230i
$137$	−2.68972	−	10.0382i	−0.229799	−	0.857620i	−0.980425	−	0.196893i	$-0.936915\pi$
$137$	−2.68972	−	10.0382i	−0.229799	−	0.857620i	0.750626	−	0.660727i	$-0.229752\pi$
$138$	−0.877879	+	0.618196i	−0.0747300	+	0.0526243i
$139$	4.21464	−	7.29998i	0.357481	−	0.619176i	−0.630058	−	0.776548i	$-0.716969\pi$
$139$	4.21464	−	7.29998i	0.357481	−	0.619176i	0.987539	+	0.157372i	$0.0503022\pi$
$140$	−1.32214	−	20.8334i	−0.111741	−	1.76075i
$141$	3.07413	+	5.32455i	0.258888	+	0.448408i
$142$	4.65968	−	3.28131i	0.391031	−	0.275361i
$143$	−10.2340	+	1.06978i	−0.855811	+	0.0894594i
$144$	5.10700	−	6.21993i	0.425583	−	0.518327i
$145$	4.23393	+	1.68271i	0.351608	+	0.139741i
$146$	4.20621	−	1.54366i	0.348108	−	0.127754i
$147$	14.1993	−	3.80469i	1.17114	−	0.313805i
$148$	9.79868	+	20.7238i	0.805447	+	1.70349i
$149$	−13.6268	−	7.86741i	−1.11635	−	0.644523i	−0.175881	−	0.984411i	$-0.556277\pi$
$149$	−13.6268	−	7.86741i	−1.11635	−	0.644523i	−0.940466	+	0.339888i	$0.889611\pi$
$150$	−4.21066	−	5.62773i	−0.343799	−	0.459503i
$151$			5.15433i			0.419454i	0.977760	+	0.209727i	$0.0672575\pi$
$151$			5.15433i			0.419454i	−0.977760	+	0.209727i	$0.932743\pi$
$152$	−3.98519	+	15.3639i	−0.323242	+	1.24618i
$153$	1.47264	−	5.49596i	0.119056	−	0.444322i
$154$	6.49069	+	17.6860i	0.523035	+	1.42518i
$155$	−1.08115	+	0.854618i	−0.0868398	+	0.0686445i
$156$	0.159286	+	7.16601i	0.0127531	+	0.573740i
$157$	−7.74349	+	7.74349i	−0.617998	+	0.617998i	−0.945017	−	0.327020i	$-0.893956\pi$
$157$	−7.74349	+	7.74349i	−0.617998	+	0.617998i	0.327020	+	0.945017i	$0.393956\pi$
$158$	−1.66915	+	3.60459i	−0.132790	+	0.286766i
$159$	−2.26227	−	3.91836i	−0.179409	−	0.310746i
$160$	−0.902168	−	12.6169i	−0.0713226	−	0.997453i
$161$	3.56537			0.280991
$162$	−1.52681	+	0.137685i	−0.119957	+	0.0108175i
$163$	−4.23136	−	15.7917i	−0.331426	−	1.23690i	−0.907692	−	0.419636i	$-0.862158\pi$
$163$	−4.23136	−	15.7917i	−0.331426	−	1.23690i	0.576266	−	0.817262i	$-0.304509\pi$
$164$	−0.319937	+	0.893835i	−0.0249829	+	0.0697968i
$165$	5.08744	+	3.78855i	0.396056	+	0.294938i
$166$	4.62459	+	12.6012i	0.358938	+	0.978045i
$167$	0.553362	−	2.06518i	0.0428205	−	0.159808i	−0.941205	−	0.337836i	$-0.890305\pi$
$167$	0.553362	−	2.06518i	0.0428205	−	0.159808i	0.984025	+	0.178028i	$0.0569717\pi$
$168$	12.6487	−	3.49797i	0.975865	−	0.269874i
$169$	8.68775	+	9.67073i	0.668289	+	0.743902i
$170$	−4.26419	−	7.86075i	−0.327049	−	0.602892i
$171$	9.77801	−	5.64534i	0.747743	−	0.431710i
$172$	−7.66736	+	11.0755i	−0.584631	+	0.844497i
$173$	−23.6577	+	6.33905i	−1.79866	+	0.481949i	−0.993768	−	0.111473i	$-0.964443\pi$
$173$	−23.6577	+	6.33905i	−1.79866	+	0.481949i	−0.804892	+	0.593422i	$0.797777\pi$
$174$	−0.489832	+	2.82199i	−0.0371341	+	0.213935i
$175$	0.672386	+	23.3297i	0.0508276	+	1.76356i
$176$	4.01861	+	10.6848i	0.302914	+	0.805394i
$177$	1.21048	−	1.21048i	0.0909855	−	0.0909855i
$178$	−0.686048	−	7.60768i	−0.0514215	−	0.570219i
$179$	12.0873	+	20.9358i	0.903448	+	1.56482i	0.822987	+	0.568060i	$0.192306\pi$
$179$	12.0873	+	20.9358i	0.903448	+	1.56482i	0.0804608	+	0.996758i	$0.474361\pi$
$180$	−5.94670	+	6.75263i	−0.443241	+	0.503311i
$181$	0.963167			0.0715916			0.0357958	−	0.999359i	$-0.488603\pi$
$181$	0.963167			0.0715916			0.0357958	+	0.999359i	$0.488603\pi$
$182$	13.2682	−	19.7603i	0.983501	−	1.46473i
$183$	−5.50257	+	5.50257i	−0.406762	+	0.406762i
$184$	2.16032	−	0.0172960i	0.159261	−	0.00127508i
$185$	−10.1480	−	23.5347i	−0.746098	−	1.73031i
$186$	−0.665163	−	0.555120i	−0.0487721	−	0.0407033i
$187$	5.70684	+	5.70684i	0.417325	+	0.417325i
$188$	1.01240	−	12.3293i	0.0738367	−	0.899210i
$189$	−20.1392	−	11.6274i	−1.46491	−	0.845766i
$190$	5.04652	−	17.0131i	0.366113	−	1.23426i
$191$	−15.9791	−	9.22553i	−1.15621	−	0.667536i	−0.205814	−	0.978591i	$-0.565984\pi$
$191$	−15.9791	−	9.22553i	−1.15621	−	0.667536i	−0.950392	+	0.311055i	$0.899318\pi$
$192$	7.64705	−	2.18083i	0.551878	−	0.157388i
$193$	6.10987	−	22.8023i	0.439798	−	1.64135i	−0.289519	−	0.957172i	$-0.593495\pi$
$193$	6.10987	−	22.8023i	0.439798	−	1.64135i	0.729317	−	0.684176i	$-0.239838\pi$
$194$	1.16244	+	0.201772i	0.0834583	+	0.0144864i
$195$	0.0988854	−	8.01321i	0.00708133	−	0.573838i
$196$	−27.8479	−	9.96780i	−1.98914	−	0.711986i
$197$	13.9430	+	3.73602i	0.993399	+	0.266180i	0.718677	−	0.695344i	$-0.244748\pi$
$197$	13.9430	+	3.73602i	0.993399	+	0.266180i	0.274721	+	0.961524i	$0.411414\pi$
$198$	3.41214	−	7.36863i	0.242490	−	0.523666i
$199$	0.917006	−	1.58830i	0.0650048	−	0.112592i	−0.831691	−	0.555238i	$-0.812627\pi$
$199$	0.917006	−	1.58830i	0.0650048	−	0.112592i	0.896696	+	0.442647i	$0.145960\pi$
$200$	0.520584	+	14.1326i	0.0368108	+	0.999322i
$201$	4.85763	−	8.41366i	0.342631	−	0.593454i
$202$	−1.76692	+	0.159338i	−0.124320	+	0.0112110i
$203$	6.72524	−	6.72524i	0.472019	−	0.472019i
$204$	4.28734	−	3.63668i	0.300174	−	0.254618i
$205$	0.392021	−	0.986379i	0.0273799	−	0.0688917i
$206$	−6.66897	−	18.1718i	−0.464649	−	1.26609i
$207$	−1.08666	−	1.08666i	−0.0755282	−	0.0755282i
$208$	7.94352	−	12.0375i	0.550784	−	0.834648i
$209$			16.0151i			1.10779i
$210$	−14.2683	+	3.41982i	−0.984608	+	0.235990i
$211$	−10.5802	+	6.10848i	−0.728371	+	0.420525i	−0.817826	−	0.575466i	$-0.804821\pi$
$211$	−10.5802	+	6.10848i	−0.728371	+	0.420525i	0.0894547	+	0.995991i	$0.471488\pi$
$212$	−0.745029	+	9.07322i	−0.0511688	+	0.623152i
$213$	−2.83242	−	2.83242i	−0.194075	−	0.194075i
$214$	−10.7368	−	8.96052i	−0.733952	−	0.612529i
$215$	8.99516	−	12.0791i	0.613465	−	0.823789i
$216$	−12.2591	−	6.94750i	−0.834123	−	0.472718i
$217$	0.744597	+	2.77887i	0.0505465	+	0.188642i
$218$	−14.9708	−	6.93241i	−1.01395	−	0.469522i
$219$	−1.57459	−	2.72726i	−0.106401	−	0.184291i
$220$	−4.07744	−	12.0940i	−0.274901	−	0.815381i
$221$	1.60078	−	10.0700i	0.107680	−	0.677381i
$222$	13.1735	−	9.27669i	0.884149	−	0.622610i
$223$	2.10612	+	0.564334i	0.141036	+	0.0377906i	0.328647	−	0.944453i	$-0.393408\pi$
$223$	2.10612	+	0.564334i	0.141036	+	0.0377906i	−0.187610	+	0.982244i	$0.560074\pi$
$224$	−24.9313	−	8.69932i	−1.66579	−	0.581248i
$225$	6.90554	−	7.31540i	0.460369	−	0.487693i
$226$	−5.06850	+	29.2004i	−0.337152	+	1.94238i
$227$	2.86096	−	0.766593i	0.189889	−	0.0508806i	−0.162621	−	0.986689i	$-0.551995\pi$
$227$	2.86096	−	0.766593i	0.189889	−	0.0508806i	0.352510	+	0.935808i	$0.385328\pi$
$228$	11.1186	+	0.912981i	0.736348	+	0.0604636i
$229$		−	1.18966i		−	0.0786147i	−0.999227	−	0.0393074i	$-0.987485\pi$
$229$		−	1.18966i		−	0.0786147i	0.999227	−	0.0393074i	$-0.0125151\pi$
$230$	−2.41453	−	0.0641402i	−0.159209	−	0.00422928i
$231$	11.4675	−	6.62074i	0.754503	−	0.435613i
$232$	4.04230	−	4.10755i	0.265390	−	0.269674i
$233$	10.5594	+	10.5594i	0.691767	+	0.691767i	0.962621	−	0.270853i	$-0.0873059\pi$
$233$	10.5594	+	10.5594i	0.691767	+	0.691767i	−0.270853	+	0.962621i	$0.587306\pi$
$234$	−10.0665	+	1.97870i	−0.658067	+	0.129352i
$235$	−1.60758	+	13.7373i	−0.104867	+	0.896121i
$236$	−3.38889	+	0.616220i	−0.220598	+	0.0401125i
$237$	2.69683	+	0.722613i	0.175178	+	0.0469387i
$238$	−18.5931	+	1.67670i	−1.20521	+	0.108684i
$239$	15.6709			1.01367			0.506834	−	0.862044i	$-0.330816\pi$
$239$	15.6709			1.01367			0.506834	+	0.862044i	$0.330816\pi$
$240$	−8.62881	+	2.14134i	−0.556987	+	0.138223i
$241$	−2.54869	+	4.41447i	−0.164176	+	0.284361i	−0.936362	−	0.351035i	$-0.885830\pi$
$241$	−2.54869	+	4.41447i	−0.164176	+	0.284361i	0.772187	+	0.635396i	$0.219163\pi$
$242$	−2.32502	−	3.30169i	−0.149458	−	0.212241i
$243$	4.14708	+	15.4771i	0.266035	+	0.992858i
$244$	15.4051	−	2.80119i	0.986210	−	0.179328i
$245$	30.7312	+	12.2136i	1.96334	+	0.780300i
$246$	0.657441	+	0.114116i	0.0419169	+	0.00727580i
$247$	16.3759	−	11.8836i	1.04197	−	0.756135i
$248$	0.464643	+	1.68015i	0.0295049	+	0.106690i
$249$	8.17051	−	4.71725i	0.517785	−	0.298943i
$250$	−0.0356564	−	15.8113i	−0.00225511	−	0.999997i
$251$	18.3878	+	10.6162i	1.16063	+	0.670090i	0.951455	−	0.307788i	$-0.0995887\pi$
$251$	18.3878	+	10.6162i	1.16063	+	0.670090i	0.209175	+	0.977878i	$0.432922\pi$
$252$	8.02892	+	16.9809i	0.505775	+	1.06969i
$253$	2.10554	−	0.564178i	0.132374	−	0.0354696i
$254$	12.9976	+	10.8473i	0.815543	+	0.680621i
$255$	−4.93104	+	3.89785i	−0.308793	+	0.244093i
$256$	−15.1485	−	5.15011i	−0.946780	−	0.321882i
$257$	10.3522	+	2.77386i	0.645751	+	0.173028i	0.566807	−	0.823851i	$-0.308179\pi$
$257$	10.3522	+	2.77386i	0.645751	+	0.173028i	0.0789437	+	0.996879i	$0.474845\pi$
$258$	8.59145	+	3.97838i	0.534880	+	0.247683i
$259$	−53.5022			−3.32447
$260$	−9.34090	+	13.1433i	−0.579298	+	0.815116i
$261$	−4.09947			−0.253751
$262$	−2.43769	−	1.12880i	−0.150601	−	0.0697376i
$263$	19.7005	+	5.27874i	1.21479	+	0.325501i	0.808638	−	0.588306i	$-0.200205\pi$
$263$	19.7005	+	5.27874i	1.21479	+	0.325501i	0.406148	+	0.913807i	$0.366872\pi$
$264$	6.91619	−	4.06724i	0.425662	−	0.250321i
$265$	1.18302	−	10.1093i	0.0726726	−	0.621011i
$266$	−28.4416	−	23.7363i	−1.74387	−	1.45537i
$267$	−5.18588	+	1.38955i	−0.317371	+	0.0850393i
$268$	−17.6721	+	8.35577i	−1.07950	+	0.510410i
$269$	6.70526	+	3.87128i	0.408827	+	0.236036i	0.690285	−	0.723537i	$-0.257485\pi$
$269$	6.70526	+	3.87128i	0.408827	+	0.236036i	−0.281459	+	0.959573i	$0.590818\pi$
$270$	13.4294	+	8.23655i	0.817289	+	0.501260i
$271$	4.17065	−	2.40792i	0.253349	−	0.146271i	−0.367948	−	0.929846i	$-0.619940\pi$
$271$	4.17065	−	2.40792i	0.253349	−	0.146271i	0.621297	+	0.783575i	$0.286606\pi$
$272$	−11.2577	+	1.10613i	−0.682599	+	0.0670692i
$273$	−15.2790	−	6.81301i	−0.924726	−	0.412342i
$274$	14.4804	+	2.51346i	0.874793	+	0.151844i
$275$	4.08873	+	13.6710i	0.246560	+	0.824393i
$276$	−0.271653	−	1.49395i	−0.0163516	−	0.0899251i
$277$	−5.07809	−	18.9517i	−0.305113	−	1.13870i	−0.932848	−	0.360270i	$-0.882685\pi$
$277$	−5.07809	−	18.9517i	−0.305113	−	1.13870i	0.627735	−	0.778427i	$-0.283982\pi$
$278$	6.86353	+	9.74667i	0.411647	+	0.584567i
$279$	0.620011	−	1.07389i	0.0371191	−	0.0642921i
$280$	27.5213	+	10.6836i	1.64471	+	0.638466i
$281$	−18.0482			−1.07666			−0.538332	−	0.842733i	$-0.680945\pi$
$281$	−18.0482			−1.07666			−0.538332	+	0.842733i	$0.680945\pi$
$282$	−8.65981	+	0.780928i	−0.515684	+	0.0465036i
$283$	13.0504	+	3.49684i	0.775764	+	0.207865i	0.624916	−	0.780692i	$-0.285133\pi$
$283$	13.0504	+	3.49684i	0.775764	+	0.207865i	0.150847	+	0.988557i	$0.451800\pi$
$284$	1.44190	+	7.92970i	0.0855610	+	0.470541i
$285$	−12.3883	−	1.44971i	−0.733818	−	0.0858736i
$286$	4.70871	−	13.7691i	0.278432	−	0.814182i
$287$	−1.56678	−	1.56678i	−0.0924842	−	0.0924842i
$288$	4.94722	+	10.2500i	0.291518	+	0.603988i
$289$	7.79642	−	4.50126i	0.458613	−	0.264780i
$290$	−4.67543	+	4.43346i	−0.274551	+	0.260342i
$291$		−	0.829248i		−	0.0486114i
$292$	−0.518556	+	6.31516i	−0.0303462	+	0.369567i
$293$	1.61102	−	0.431671i	0.0941166	−	0.0252185i	−0.211453	−	0.977388i	$-0.567820\pi$
$293$	1.61102	−	0.431671i	0.0941166	−	0.0252185i	0.305570	+	0.952170i	$0.401153\pi$
$294$	−3.55536	+	20.4829i	−0.207353	+	1.19459i
$295$	3.81043	−	0.557610i	0.221852	−	0.0324653i
$296$	−32.4178	+	0.259545i	−1.88425	+	0.0150857i
$297$	−13.7332	−	3.67979i	−0.796879	−	0.213523i
$298$	18.1940	−	12.8120i	1.05395	−	0.742182i
$299$	−2.13925	−	1.73434i	−0.123716	−	0.100299i
$300$	9.72427	−	2.05927i	0.561431	−	0.118892i
$301$	−15.7196	−	27.2272i	−0.906065	−	1.56935i
$302$	−6.61457	−	3.06296i	−0.380626	−	0.176254i
$303$	0.322730	+	1.20444i	0.0185403	+	0.0691935i
$304$	−17.3484	−	14.2442i	−0.994997	−	0.816962i
$305$	−17.3214	+	2.53477i	−0.991818	+	0.145140i
$306$	6.17787	+	5.15581i	0.353165	+	0.294738i
$307$	−15.5878	−	15.5878i	−0.889640	−	0.889640i	0.104848	−	0.994488i	$-0.466564\pi$
$307$	−15.5878	−	15.5878i	−0.889640	−	0.889640i	−0.994488	+	0.104848i	$0.966564\pi$
$308$	−26.5536	−	2.18040i	−1.51303	−	0.124240i
$309$	−11.7824	+	6.80259i	−0.670279	+	0.386986i
$310$	−0.454262	−	1.89530i	−0.0258004	−	0.107646i
$311$			20.2634i			1.14903i	0.818494	+	0.574515i	$0.194809\pi$
$311$			20.2634i			1.14903i	−0.818494	+	0.574515i	$0.805191\pi$
$312$	−9.29082	−	4.05399i	−0.525989	−	0.229512i
$313$	10.9955	+	10.9955i	0.621505	+	0.621505i	0.945916	−	0.324411i	$-0.105166\pi$
$313$	10.9955	+	10.9955i	0.621505	+	0.621505i	−0.324411	+	0.945916i	$0.605166\pi$
$314$	−5.33568	−	14.5388i	−0.301110	−	0.820472i
$315$	−8.31517	−	19.2840i	−0.468507	−	1.08653i
$316$	−3.63389	−	4.28405i	−0.204422	−	0.240997i
$317$	0.364811	−	0.364811i	0.0204898	−	0.0204898i	−0.696788	−	0.717277i	$-0.745388\pi$
$317$	0.364811	−	0.364811i	0.0204898	−	0.0204898i	0.717277	+	0.696788i	$0.245388\pi$
$318$	6.37280	−	0.574689i	0.357369	−	0.0322270i
$319$	2.90742	−	5.03580i	0.162784	−	0.281951i
$320$	16.7274	+	6.33983i	0.935091	+	0.354408i
$321$	−4.91461	+	8.51235i	−0.274307	+	0.475113i
$322$	−2.11872	+	4.57545i	−0.118072	+	0.254980i
$323$	−15.3291	−	4.10742i	−0.852934	−	0.228543i
$324$	0.730612	−	2.04117i	0.0405896	−	0.113398i
$325$	10.9450	−	14.3250i	0.607120	−	0.794610i
$326$	22.7800	+	3.95407i	1.26167	+	0.218996i
$327$	−3.00120	+	11.2006i	−0.165966	+	0.619395i
$328$	−0.956938	−	0.941737i	−0.0528381	−	0.0519987i
$329$	25.0045	+	14.4364i	1.37854	+	0.795903i
$330$	−7.88506	+	4.27738i	−0.434058	+	0.235462i
$331$	16.1283	+	9.31170i	0.886494	+	0.511817i	0.872794	−	0.488089i	$-0.162306\pi$
$331$	16.1283	+	9.31170i	0.886494	+	0.511817i	0.0136998	+	0.999906i	$0.495639\pi$
$332$	−18.9194	−	1.55352i	−1.03833	−	0.0852607i
$333$	16.3065	+	16.3065i	0.893592	+	0.893592i
$334$	2.32141	+	1.93736i	0.127022	+	0.106008i
$335$	20.0691	−	8.65367i	1.09649	−	0.472800i
$336$	−3.02751	+	18.3107i	−0.165164	+	0.998932i
$337$	10.7751	−	10.7751i	0.586955	−	0.586955i	−0.349850	−	0.936806i	$-0.613768\pi$
$337$	10.7751	−	10.7751i	0.586955	−	0.586955i	0.936806	+	0.349850i	$0.113768\pi$
$338$	−17.5732	+	5.40219i	−0.955855	+	0.293840i
$339$	20.8306			1.13136
$340$	12.6217	−	0.801002i	0.684509	−	0.0434404i
$341$	0.879448	+	1.52325i	0.0476248	+	0.0824885i
$342$	1.43410	+	15.9029i	0.0775471	+	0.859930i
$343$	25.7091	−	25.7091i	1.38816	−	1.38816i
$344$	−9.65686	−	16.4211i	−0.520663	−	0.885369i
$345$	0.245815	+	1.67978i	0.0132343	+	0.0904365i
$346$	5.92364	−	34.1269i	0.318457	−	1.83468i
$347$	−10.0197	+	2.68476i	−0.537883	+	0.144125i	−0.517526	−	0.855667i	$-0.673147\pi$
$347$	−10.0197	+	2.68476i	−0.537883	+	0.144125i	−0.0203570	+	0.999793i	$0.506480\pi$
$348$	−3.33039	−	2.30557i	−0.178528	−	0.123592i
$349$	−23.4577	+	13.5433i	−1.25566	+	0.724956i	−0.972228	−	0.234037i	$-0.924806\pi$
$349$	−23.4577	+	13.5433i	−1.25566	+	0.724956i	−0.283432	+	0.958992i	$0.591473\pi$
$350$	−30.3386	−	13.0008i	−1.62167	−	0.694921i
$351$	6.42765	+	16.7730i	0.343082	+	0.895275i
$352$	−16.0998	−	1.19232i	−0.858124	−	0.0635510i
$353$	−4.22211	+	15.7571i	−0.224720	+	0.838667i	0.757796	+	0.652491i	$0.226276\pi$
$353$	−4.22211	+	15.7571i	−0.224720	+	0.838667i	−0.982516	+	0.186176i	$0.940391\pi$
$354$	0.834087	+	2.27275i	0.0443312	+	0.120795i
$355$	−1.30476	−	8.91608i	−0.0692494	−	0.473217i
$356$	10.1706	+	3.64045i	0.539043	+	0.192944i
$357$	3.39606	+	12.6743i	0.179738	+	0.670792i
$358$	−34.0499	+	3.07057i	−1.79959	+	0.162284i
$359$	26.1448			1.37987			0.689935	−	0.723871i	$-0.257639\pi$
$359$	26.1448			1.37987			0.689935	+	0.723871i	$0.257639\pi$
$360$	−5.13184	−	11.6442i	−0.270472	−	0.613701i
$361$	−6.24573	−	10.8179i	−0.328723	−	0.569365i
$362$	−0.572362	+	1.23604i	−0.0300827	+	0.0649646i
$363$	−2.00696	+	2.00696i	−0.105338	+	0.105338i
$364$	17.4739	+	28.7696i	0.915881	+	1.50794i
$365$	0.823410	−	7.03631i	0.0430992	−	0.368297i
$366$	−3.79157	−	10.3314i	−0.198188	−	0.540030i
$367$	4.78249	−	17.8485i	0.249644	−	0.931684i	−0.721348	−	0.692573i	$-0.756477\pi$
$367$	4.78249	−	17.8485i	0.249644	−	0.931684i	0.970992	−	0.239111i	$-0.0768561\pi$
$368$	−1.26157	+	2.78262i	−0.0657639	+	0.145054i
$369$			0.955054i			0.0497181i
$370$	36.2326	+	0.962492i	1.88364	+	0.0500376i
$371$	−18.4010	−	10.6238i	−0.955330	−	0.551560i
$372$	1.10766	−	0.523726i	0.0574295	−	0.0271539i
$373$	−10.6342	+	2.84941i	−0.550616	+	0.147537i	−0.523392	−	0.852092i	$-0.675333\pi$
$373$	−10.6342	+	2.84941i	−0.550616	+	0.147537i	−0.0272243	+	0.999629i	$0.508667\pi$
$374$	−10.7149	+	3.93232i	−0.554054	+	0.203335i
$375$	−10.9451	+	1.92526i	−0.565204	+	0.0994198i
$376$	15.2207	+	8.62592i	0.784946	+	0.444848i
$377$	−7.30660	+	0.763772i	−0.376309	+	0.0393363i
$378$	26.8891	−	18.9351i	1.38303	−	0.973918i
$379$	0.854886	+	1.48071i	0.0439125	+	0.0760587i	0.887146	−	0.461488i	$-0.152684\pi$
$379$	0.854886	+	1.48071i	0.0439125	+	0.0760587i	−0.843234	+	0.537547i	$0.819351\pi$
$380$	18.8341	+	16.5863i	0.966171	+	0.850858i
$381$	5.94947	−	10.3048i	0.304800	−	0.527930i
$382$	21.3347	−	15.0237i	1.09158	−	0.768681i
$383$	0.883261	+	3.29637i	0.0451325	+	0.168437i	0.984814	−	0.173615i	$-0.0555448\pi$
$383$	0.883261	+	3.29637i	0.0451325	+	0.168437i	−0.939681	+	0.342052i	$0.888878\pi$
$384$	−1.74559	+	11.1094i	−0.0890791	+	0.566926i
$385$	29.5859	+	3.46223i	1.50784	+	0.176452i
$386$	25.6315	+	21.3911i	1.30461	+	1.08878i
$387$	−3.50730	+	13.0894i	−0.178286	+	0.665374i
$388$	−0.949715	+	1.37186i	−0.0482145	+	0.0696456i
$389$			18.2336i			0.924480i	0.886755	+	0.462240i	$0.152954\pi$
$389$			18.2336i			0.924480i	−0.886755	+	0.462240i	$0.847046\pi$
$390$	10.2246	+	4.88875i	0.517744	+	0.247552i
$391$			2.16004i			0.109238i
$392$	29.3403	−	29.8139i	1.48191	−	1.50583i
$393$	−0.488684	+	1.82379i	−0.0246508	+	0.0919981i
$394$	−13.0801	+	15.6730i	−0.658965	+	0.789594i
$395$	3.89486	+	4.92725i	0.195972	+	0.247917i
$396$	7.42853	+	8.75762i	0.373298	+	0.440087i
$397$	6.53571	+	24.3916i	0.328018	+	1.22418i	0.911243	+	0.411869i	$0.135124\pi$
$397$	6.53571	+	24.3916i	0.328018	+	1.22418i	−0.583225	+	0.812310i	$0.698210\pi$
$398$	1.49334	+	2.12064i	0.0748544	+	0.106298i
$399$	−13.0187	+	22.5491i	−0.651752	+	1.12887i
$400$	−18.4457	−	7.73020i	−0.922285	−	0.386510i
$401$	11.3786	+	19.7083i	0.568218	+	0.984183i	0.996742	+	0.0806527i	$0.0257005\pi$
$401$	11.3786	+	19.7083i	0.568218	+	0.984183i	−0.428524	+	0.903530i	$0.640966\pi$
$402$	7.91064	+	11.2336i	0.394547	+	0.560283i
$403$	0.904988	−	2.02954i	0.0450807	−	0.101099i
$404$	0.845511	−	2.36218i	0.0420658	−	0.117523i
$405$	−0.895224	+	2.25251i	−0.0444841	+	0.111928i
$406$	4.63405	+	12.6270i	0.229984	+	0.626667i
$407$	−31.5959	+	8.46610i	−1.56615	+	0.419649i
$408$	2.11921	+	7.66305i	0.104916	+	0.379378i
$409$	−6.81519	−	3.93475i	−0.336989	−	0.194561i	0.321951	−	0.946756i	$-0.395661\pi$
$409$	−6.81519	−	3.93475i	−0.336989	−	0.194561i	−0.658940	+	0.752196i	$0.728995\pi$
$410$	1.03287	+	1.08924i	0.0510096	+	0.0537936i
$411$		−	10.3299i		−	0.509535i
$412$	27.2830	+	2.24028i	1.34414	+	0.110371i
$413$	2.08068	−	7.76521i	0.102384	−	0.382101i
$414$	2.04027	−	0.748768i	0.100274	−	0.0367999i
$415$	21.0798	+	2.46682i	1.03477	+	0.121092i
$416$	10.7273	+	17.3472i	0.525948	+	0.850517i
$417$	5.92460	−	5.92460i	0.290129	−	0.290129i
$418$	−20.5523	−	9.51699i	−1.00524	−	0.465491i
$419$	−2.02730	−	3.51139i	−0.0990401	−	0.171543i	0.812247	−	0.583313i	$-0.198244\pi$
$419$	−2.02730	−	3.51139i	−0.0990401	−	0.171543i	−0.911288	+	0.411770i	$0.864911\pi$
$420$	4.09029	−	20.3428i	0.199586	−	0.992628i
$421$	−6.51812			−0.317674			−0.158837	−	0.987305i	$-0.550774\pi$
$421$	−6.51812			−0.317674			−0.158837	+	0.987305i	$0.550774\pi$
$422$	−1.55175	−	17.2076i	−0.0755381	−	0.837652i
$423$	−3.22098	−	12.0209i	−0.156610	−	0.584475i
$424$	−11.2010	−	6.34786i	−0.543967	−	0.308279i
$425$	−14.1340	+	0.407358i	−0.685601	+	0.0197598i
$426$	5.31803	−	1.95169i	0.257659	−	0.0945598i
$427$	−9.45830	+	35.2989i	−0.457719	+	1.70823i
$428$	17.8794	−	8.45377i	0.864234	−	0.408629i
$429$	−10.1011	−	1.60573i	−0.487687	−	0.0775252i
$430$	10.1558	+	18.7215i	0.489756	+	0.902833i
$431$	10.3708	−	5.98756i	0.499542	−	0.288411i	−0.228982	−	0.973431i	$-0.573540\pi$
$431$	10.3708	−	5.98756i	0.499542	−	0.288411i	0.728524	+	0.685020i	$0.240206\pi$
$432$	16.2007	−	11.6035i	0.779456	−	0.558275i
$433$	3.45411	−	0.925526i	0.165994	−	0.0444780i	−0.174865	−	0.984592i	$-0.555949\pi$
$433$	3.45411	−	0.925526i	0.165994	−	0.0444780i	0.340859	+	0.940114i	$0.389282\pi$
$434$	−4.00861	−	0.695801i	−0.192420	−	0.0333995i
$435$	3.63219	+	2.70484i	0.174150	+	0.129687i
$436$	17.7928	−	15.0925i	0.852119	−	0.722798i
$437$	−3.03087	+	3.03087i	−0.144986	+	0.144986i
$438$	4.43561	−	0.399996i	0.211941	−	0.0191125i
$439$	−14.1188	−	24.4545i	−0.673854	−	1.16715i	−0.976802	−	0.214142i	$-0.931304\pi$
$439$	−14.1188	−	24.4545i	−0.673854	−	1.16715i	0.302949	−	0.953007i	$-0.402029\pi$
$440$	17.9433	+	1.95429i	0.855416	+	0.0931673i
$441$	−29.7552			−1.41692
$442$	11.9716	+	8.03837i	0.569430	+	0.382346i
$443$	−24.0824	+	24.0824i	−1.14419	+	1.14419i	−0.156512	+	0.987676i	$0.550025\pi$
$443$	−24.0824	+	24.0824i	−1.14419	+	1.14419i	−0.987676	+	0.156512i	$0.949975\pi$
$444$	4.07644	+	22.4183i	0.193459	+	1.06392i
$445$	−11.2237	−	4.46067i	−0.532053	−	0.211456i
$446$	−1.97577	+	2.36744i	−0.0935556	+	0.112101i
$447$	−11.0594	−	11.0594i	−0.523090	−	0.523090i
$448$	25.9793	−	26.8249i	1.22741	−	1.26736i
$449$	14.3662	+	8.29431i	0.677981	+	0.391432i	0.799094	−	0.601206i	$-0.205313\pi$
$449$	14.3662	+	8.29431i	0.677981	+	0.391432i	−0.121113	+	0.992639i	$0.538646\pi$
$450$	5.28426	+	13.2091i	0.249102	+	0.622682i
$451$	−1.17319	−	0.677343i	−0.0552435	−	0.0318949i
$452$	−34.4610	−	23.8567i	−1.62091	−	1.12213i
$453$	−1.32603	+	4.94879i	−0.0623021	+	0.232515i
$454$	−0.716356	+	4.12703i	−0.0336203	+	0.193691i
$455$	−18.4132	−	32.8214i	−0.863224	−	1.53869i
$456$	−7.77886	+	13.7260i	−0.364279	+	0.642779i
$457$	−16.6569	−	4.46321i	−0.779178	−	0.208780i	−0.152756	−	0.988264i	$-0.548815\pi$
$457$	−16.6569	−	4.46321i	−0.779178	−	0.208780i	−0.626422	+	0.779484i	$0.715481\pi$
$458$	1.52669	+	0.706953i	0.0713375	+	0.0330338i
$459$	7.04431	−	12.2011i	0.328800	−	0.569499i
$460$	1.51715	−	3.06046i	0.0707373	−	0.142695i
$461$	1.50601	−	2.60849i	0.0701419	−	0.121489i	−0.828821	−	0.559513i	$-0.810988\pi$
$461$	1.50601	−	2.60849i	0.0701419	−	0.121489i	0.898963	+	0.438024i	$0.144321\pi$
$462$	1.68188	+	18.6506i	0.0782482	+	0.867704i
$463$	−9.38534	+	9.38534i	−0.436174	+	0.436174i	−0.890722	−	0.454548i	$-0.849801\pi$
$463$	−9.38534	+	9.38534i	−0.436174	+	0.436174i	0.454548	+	0.890722i	$0.349801\pi$
$464$	2.86910	+	7.62841i	0.133194	+	0.354140i
$465$	−1.25790	+	0.542398i	−0.0583335	+	0.0251531i
$466$	−19.8258	+	7.27597i	−0.918411	+	0.337053i
$467$	20.4003	+	20.4003i	0.944012	+	0.944012i	0.998514	−	0.0545016i	$-0.0173570\pi$
$467$	20.4003	+	20.4003i	0.944012	+	0.944012i	−0.0545016	+	0.998514i	$0.517357\pi$
$468$	3.44274	−	14.0942i	0.159141	−	0.651505i
$469$		−	45.6237i		−	2.10671i
$470$	−16.6738	−	10.2264i	−0.769104	−	0.471708i
$471$	−9.42682	+	5.44258i	−0.434365	+	0.250781i
$472$	1.22305	−	4.71516i	0.0562953	−	0.217033i
$473$	−13.5917	−	13.5917i	−0.624946	−	0.624946i
$474$	−2.52992	+	3.03144i	−0.116203	+	0.139238i
$475$	−20.4038	−	19.2606i	−0.936190	−	0.883738i
$476$	8.89723	−	24.8570i	0.407804	−	1.13932i
$477$	2.37034	+	8.84623i	0.108530	+	0.405041i
$478$	−9.31245	+	20.1106i	−0.425941	+	0.919835i
$479$	−2.13929	−	3.70535i	−0.0977464	−	0.169302i	0.813005	−	0.582257i	$-0.197830\pi$
$479$	−2.13929	−	3.70535i	−0.0977464	−	0.169302i	−0.910752	+	0.412955i	$0.864497\pi$
$480$	2.37968	−	12.3459i	0.108617	−	0.563509i
$481$	32.1017	+	26.0255i	1.46371	+	1.18666i
$482$	−4.15054	−	5.89404i	−0.189052	−	0.268466i
$483$	3.42320	+	0.917243i	0.155761	+	0.0417360i
$484$	5.61871	−	1.02168i	0.255396	−	0.0464401i
$485$	1.11418	−	1.49618i	0.0505924	−	0.0679379i
$486$	−22.3262	−	3.87531i	−1.01274	−	0.175788i
$487$	−36.1244	+	9.67950i	−1.63695	+	0.438620i	−0.955918	−	0.293632i	$-0.905136\pi$
$487$	−36.1244	+	9.67950i	−1.63695	+	0.438620i	−0.681033	+	0.732252i	$0.738469\pi$
$488$	−5.55969	+	21.4340i	−0.251675	+	0.970272i
$489$		−	16.2505i		−	0.734874i
$490$	−33.9358	+	32.1795i	−1.53306	+	1.45372i
$491$	22.1066	−	12.7633i	0.997657	−	0.575998i	0.0901029	−	0.995932i	$-0.471280\pi$
$491$	22.1066	−	12.7633i	0.997657	−	0.575998i	0.907554	+	0.419935i	$0.137947\pi$
$492$	−0.537130	+	0.775883i	−0.0242157	+	0.0349795i
$493$	4.07441	+	4.07441i	0.183502	+	0.183502i
$494$	5.51891	+	28.0770i	0.248307	+	1.26325i
$495$	−7.96203	−	10.0725i	−0.357866	−	0.452724i
$496$	−2.43226	−	0.402151i	−0.109212	−	0.0180571i
$497$	−18.1699	−	4.86861i	−0.815032	−	0.218387i
$498$	1.19833	+	13.2885i	0.0536986	+	0.595471i
$499$	7.21961			0.323194			0.161597	−	0.986857i	$-0.448335\pi$
$499$	7.21961			0.323194			0.161597	+	0.986857i	$0.448335\pi$
$500$	20.3119	+	9.35013i	0.908378	+	0.418151i
$501$	1.06259	−	1.84046i	0.0474731	−	0.0822258i
$502$	−24.5508	+	17.2885i	−1.09576	+	0.771623i
$503$	3.45645	+	12.8996i	0.154115	+	0.575167i	0.999179	+	0.0405015i	$0.0128956\pi$
$503$	3.45645	+	12.8996i	0.154115	+	0.575167i	−0.845064	+	0.534665i	$0.820438\pi$
$504$	−26.5628	+	0.212668i	−1.18320	+	0.00947297i
$505$	−1.03601	+	2.60675i	−0.0461019	+	0.115999i
$506$	−0.527206	+	3.03731i	−0.0234372	+	0.135025i
$507$	5.85338	+	11.5201i	0.259958	+	0.511627i
$508$	−21.6442	+	10.2339i	−0.960308	+	0.454054i
$509$	18.3897	−	10.6173i	0.815111	−	0.470604i	−0.0336167	−	0.999435i	$-0.510703\pi$
$509$	18.3897	−	10.6173i	0.815111	−	0.470604i	0.848728	+	0.528830i	$0.177369\pi$
$510$	−2.07186	−	8.64431i	−0.0917435	−	0.382777i
$511$	−12.8075	−	7.39439i	−0.566569	−	0.327109i
$512$	15.6111	−	16.3796i	0.689921	−	0.723885i
$513$	27.0043	−	7.23577i	1.19227	−	0.319467i
$514$	−9.71147	+	11.6366i	−0.428355	+	0.513269i
$515$	−30.3985	−	3.55733i	−1.33952	−	0.156755i
$516$	−10.2109	+	8.66128i	−0.449511	+	0.381292i
$517$	17.0509	+	4.56877i	0.749897	+	0.200934i
$518$	31.7937	−	68.6596i	1.39693	−	3.01673i
$519$	−24.3451			−1.06863
$520$	−11.3161	−	19.7976i	−0.496242	−	0.868184i
$521$	11.1630			0.489060			0.244530	−	0.969642i	$-0.421366\pi$
$521$	11.1630			0.489060			0.244530	+	0.969642i	$0.421366\pi$
$522$	2.43611	−	5.26086i	0.106625	−	0.230261i
$523$	30.6116	+	8.20236i	1.33855	+	0.358664i	0.855897	−	0.517146i	$-0.173006\pi$
$523$	30.6116	+	8.20236i	1.33855	+	0.358664i	0.482656	+	0.875810i	$0.339672\pi$
$524$	2.89719	−	2.45750i	0.126564	−	0.107356i
$525$	−5.35632	+	22.5723i	−0.233769	+	0.985138i
$526$	−18.4813	+	22.1449i	−0.805821	+	0.965561i
$527$	−1.68355	+	0.451106i	−0.0733366	+	0.0196505i
$528$	1.10955	+	11.2925i	0.0482871	+	0.491444i
$529$	−19.4133	−	11.2083i	−0.844058	−	0.487317i
$530$	12.2703	+	7.52565i	0.532989	+	0.326893i
$531$	−3.00085	+	1.73254i	−0.130226	+	0.0751859i
$532$	47.3623	−	22.3939i	2.05342	−	0.970900i
$533$	0.177936	+	1.70222i	0.00770728	+	0.0737315i
$534$	1.29849	−	7.48080i	0.0561912	−	0.323726i
$535$	−20.3045	+	8.75517i	−0.877838	+	0.378519i
$536$	−0.221325	−	27.6441i	−0.00955979	−	1.19404i
$537$	6.21926	+	23.2106i	0.268381	+	1.00161i
$538$	−8.95263	+	6.30437i	−0.385975	+	0.271801i
$539$	21.1030	−	36.5515i	0.908970	−	1.57438i
$540$	−18.5504	+	12.3395i	−0.798283	+	0.531006i
$541$	3.06882			0.131939			0.0659693	−	0.997822i	$-0.478986\pi$
$541$	3.06882			0.131939			0.0659693	+	0.997822i	$0.478986\pi$
$542$	0.611690	+	6.78311i	0.0262744	+	0.291360i
$543$	0.924759	+	0.247788i	0.0396852	+	0.0106336i
$544$	5.27039	−	15.1044i	0.225966	−	0.647595i
$545$	−20.4641	+	16.1764i	−0.876588	+	0.692919i
$546$	17.8227	−	15.5589i	0.762741	−	0.665861i
$547$	−6.46304	−	6.46304i	−0.276340	−	0.276340i	0.555306	−	0.831646i	$-0.312601\pi$
$547$	−6.46304	−	6.46304i	−0.276340	−	0.276340i	−0.831646	+	0.555306i	$0.812601\pi$
$548$	−11.8305	+	17.0891i	−0.505374	+	0.730011i
$549$	13.6412	−	7.87574i	0.582191	−	0.336128i
$550$	−19.9738	−	2.87692i	−0.851685	−	0.122672i
$551$			11.4341i			0.487107i
$552$	2.07862	+	0.539165i	0.0884719	+	0.0229484i
$553$	12.6645	−	3.39345i	0.538551	−	0.144304i
$554$	27.3384	+	4.74531i	1.16150	+	0.201609i
$555$	−3.68872	−	25.2069i	−0.156578	−	1.06997i
$556$	−16.5866	+	3.01603i	−0.703428	+	0.127908i
$557$	−14.3800	−	3.85312i	−0.609301	−	0.163262i	−0.0590418	−	0.998256i	$-0.518805\pi$
$557$	−14.3800	−	3.85312i	−0.609301	−	0.163262i	−0.550259	+	0.834994i	$0.685471\pi$
$558$	1.00969	+	1.43382i	0.0427434	+	0.0606985i
$559$	−3.81248	+	23.9832i	−0.161251	+	1.01438i
$560$	−30.0648	+	28.9695i	−1.27047	+	1.22418i
$561$	4.01110	+	6.94743i	0.169349	+	0.293321i
$562$	10.7251	−	23.1613i	0.452412	−	0.976999i
$563$	−5.04425	−	18.8254i	−0.212590	−	0.793396i	−0.987001	−	0.160713i	$-0.948621\pi$
$563$	−5.04425	−	18.8254i	−0.212590	−	0.793396i	0.774411	−	0.632682i	$-0.218046\pi$
$564$	4.14392	−	11.5772i	0.174491	−	0.487489i
$565$	37.5838	+	27.9882i	1.58116	+	1.17747i
$566$	−12.2427	+	14.6696i	−0.514598	+	0.616609i
$567$	3.57793	+	3.57793i	0.150259	+	0.150259i
$568$	−11.0331	−	2.86182i	−0.462937	−	0.120080i
$569$	−11.3208	+	6.53605i	−0.474591	+	0.274005i	−0.718160	−	0.695878i	$-0.755015\pi$
$569$	−11.3208	+	6.53605i	−0.474591	+	0.274005i	0.243569	+	0.969884i	$0.421682\pi$
$570$	9.22216	−	15.0364i	0.386274	−	0.629807i
$571$		−	15.6628i		−	0.655468i	−0.944770	−	0.327734i	$-0.893715\pi$
$571$		−	15.6628i		−	0.655468i	0.944770	−	0.327734i	$-0.106285\pi$
$572$	14.8717	+	14.2250i	0.621818	+	0.594776i
$573$	−12.9685	−	12.9685i	−0.541766	−	0.541766i
$574$	2.94172	−	1.07960i	0.122785	−	0.0450615i
$575$	−1.81345	+	3.36104i	−0.0756262	+	0.140165i
$576$	−16.0938	+	0.257717i	−0.670574	+	0.0107382i
$577$	20.7126	−	20.7126i	0.862275	−	0.862275i	−0.129327	−	0.991602i	$-0.541282\pi$
$577$	20.7126	−	20.7126i	0.862275	−	0.862275i	0.991602	+	0.129327i	$0.0412816\pi$
$578$	1.14347	+	12.6800i	0.0475619	+	0.527420i
$579$	11.7325	−	20.3212i	0.487584	−	0.844520i
$580$	−2.91110	−	8.63458i	−0.120877	−	0.358531i
$581$	22.1526	−	38.3694i	0.919045	−	1.59183i
$582$	1.06418	+	0.492781i	0.0441115	+	0.0204264i
$583$	−12.5478	−	3.36218i	−0.519678	−	0.139247i
$584$	−7.79611	−	4.41825i	−0.322605	−	0.182828i
$585$	−4.39135	+	15.6154i	−0.181560	+	0.645616i
$586$	−0.403382	+	2.32394i	−0.0166636	+	0.0960012i
$587$	4.68203	−	17.4736i	0.193248	−	0.721212i	−0.799465	−	0.600712i	$-0.794884\pi$
$587$	4.68203	−	17.4736i	0.193248	−	0.721212i	0.992713	−	0.120500i	$-0.0384496\pi$
$588$	−24.1730	−	16.7346i	−0.996880	−	0.690123i
$589$	−2.99525	−	1.72931i	−0.123417	−	0.0712549i
$590$	−1.54877	+	5.22130i	−0.0637618	+	0.214958i
$591$	12.4259	+	7.17408i	0.511132	+	0.295102i
$592$	18.9312	−	41.7561i	0.778068	−	1.71617i
$593$	−32.0683	−	32.0683i	−1.31689	−	1.31689i	−0.916227	−	0.400660i	$-0.868781\pi$
$593$	−32.0683	−	32.0683i	−1.31689	−	1.31689i	−0.400660	−	0.916227i	$-0.631219\pi$
$594$	12.8832	−	15.4371i	0.528605	−	0.633392i
$595$	−10.9018	+	27.4306i	−0.446932	+	1.12454i
$596$	5.62998	+	30.9619i	0.230613	+	1.26825i
$597$	1.28905	−	1.28905i	0.0527574	−	0.0527574i
$598$	3.49693	−	1.71467i	0.143000	−	0.0701183i
$599$	−33.5531			−1.37094			−0.685471	−	0.728100i	$-0.740404\pi$
$599$	−33.5531			−1.37094			−0.685471	+	0.728100i	$0.740404\pi$
$600$	−3.13597	+	13.7029i	−0.128026	+	0.559419i
$601$	8.93417	+	15.4744i	0.364432	+	0.631215i	0.988685	−	0.150007i	$-0.0479297\pi$
$601$	8.93417	+	15.4744i	0.364432	+	0.631215i	−0.624253	+	0.781223i	$0.714596\pi$
$602$	44.2822	−	3.99330i	1.80481	−	0.162755i
$603$	−13.9053	+	13.9053i	−0.566267	+	0.566267i
$604$	7.86142	−	6.66834i	0.319876	−	0.271331i
$605$	−6.31763	+	0.924508i	−0.256848	+	0.0375866i
$606$	−1.73745	−	0.301581i	−0.0705791	−	0.0122509i
$607$	23.1277	−	6.19704i	0.938723	−	0.251530i	0.243153	−	0.969988i	$-0.421818\pi$
$607$	23.1277	−	6.19704i	0.938723	−	0.251530i	0.695571	+	0.718458i	$0.255152\pi$
$608$	28.5889	−	13.7986i	1.15943	−	0.559607i
$609$	8.18722	−	4.72689i	0.331763	−	0.191543i
$610$	7.04034	−	23.7348i	0.285055	−	0.960995i
$611$	−7.98047	−	20.8251i	−0.322855	−	0.842493i
$612$	−10.2877	+	4.86424i	−0.415854	+	0.196625i
$613$	1.32058	−	4.92846i	0.0533376	−	0.199059i	−0.934116	−	0.356971i	$-0.883810\pi$
$613$	1.32058	−	4.92846i	0.0533376	−	0.199059i	0.987453	+	0.157912i	$0.0504763\pi$
$614$	29.2668	−	10.7408i	1.18111	−	0.433463i
$615$	0.630148	−	0.846193i	0.0254100	−	0.0341218i
$616$	18.5776	−	32.7807i	0.748513	−	1.32077i
$617$	1.34767	+	5.02959i	0.0542553	+	0.202484i	0.987733	−	0.156152i	$-0.0499089\pi$
$617$	1.34767	+	5.02959i	0.0542553	+	0.202484i	−0.933478	+	0.358635i	$0.883242\pi$
$618$	−1.72808	−	19.1629i	−0.0695134	−	0.770843i
$619$	28.2644			1.13604			0.568020	−	0.823014i	$-0.307709\pi$
$619$	28.2644			1.13604			0.568020	+	0.823014i	$0.307709\pi$
$620$	2.70218	+	0.543323i	0.108522	+	0.0218204i
$621$	−1.90260	−	3.29541i	−0.0763489	−	0.132240i
$622$	−26.0040	−	12.0415i	−1.04267	−	0.482820i
$623$	−17.8279	+	17.8279i	−0.714259	+	0.714259i
$624$	10.7236	−	9.51386i	0.429286	−	0.380859i
$625$	−22.3346	−	11.2323i	−0.893385	−	0.449292i
$626$	−20.6447	+	7.57651i	−0.825128	+	0.302818i
$627$	−4.12012	+	15.3765i	−0.164542	+	0.614078i
$628$	21.8284	+	1.79240i	0.871049	+	0.0715244i
$629$		−	32.4138i		−	1.29242i
$630$	29.6886	+	0.788654i	1.18282	+	0.0314207i
$631$	14.5511	+	8.40109i	0.579271	+	0.334442i	0.760844	−	0.648935i	$-0.224785\pi$
$631$	14.5511	+	8.40109i	0.579271	+	0.334442i	−0.181573	+	0.983378i	$0.558119\pi$
$632$	7.65717	−	2.11758i	0.304586	−	0.0842329i
$633$	−11.7298	+	3.14299i	−0.466217	+	0.124923i
$634$	0.251374	+	0.684952i	0.00998335	+	0.0272029i
$635$	24.5799	−	10.5987i	0.975425	−	0.420598i
$636$	−3.04954	+	8.51974i	−0.120922	+	0.337830i
$637$	−53.0337	+	5.54370i	−2.10127	+	0.219649i
$638$	4.73473	+	6.72363i	0.187450	+	0.266191i
$639$	4.05400	+	7.02173i	0.160374	+	0.277775i
$640$	−18.0762	+	17.6989i	−0.714524	+	0.699611i
$641$	5.83313	−	10.1033i	0.230395	−	0.399055i	−0.727530	−	0.686076i	$-0.759332\pi$
$641$	5.83313	−	10.1033i	0.230395	−	0.399055i	0.957924	+	0.287021i	$0.0926650\pi$
$642$	−8.00342	−	11.3654i	−0.315870	−	0.448556i
$643$	4.48144	+	16.7250i	0.176731	+	0.659568i	0.996250	+	0.0865171i	$0.0275737\pi$
$643$	4.48144	+	16.7250i	0.176731	+	0.659568i	−0.819520	+	0.573051i	$0.805760\pi$
$644$	−4.61265	−	5.43793i	−0.181764	−	0.214284i
$645$	11.7440	−	9.28331i	0.462419	−	0.365530i
$646$	14.3804	−	17.2310i	0.565788	−	0.677946i
$647$	−12.1430	+	45.3184i	−0.477392	+	1.78165i	0.134725	+	0.990883i	$0.456985\pi$
$647$	−12.1430	+	45.3184i	−0.477392	+	1.78165i	−0.612116	+	0.790768i	$0.709682\pi$
$648$	2.18528	+	2.15056i	0.0858458	+	0.0844821i
$649$		−	4.91501i		−	0.192931i
$650$	11.8793	+	22.5584i	0.465944	+	0.884814i
$651$			2.85962i			0.112077i
$652$	−18.6113	+	26.8839i	−0.728873	+	1.05286i
$653$	4.89329	−	18.2620i	0.191489	−	0.714648i	−0.801659	−	0.597782i	$-0.796049\pi$
$653$	4.89329	−	18.2620i	0.191489	−	0.714648i	0.993148	−	0.116865i	$-0.0372846\pi$
$654$	−12.5903	−	10.5074i	−0.492321	−	0.410872i
$655$	−3.33217	+	2.63399i	−0.130199	+	0.102919i
$656$	1.77719	−	0.668415i	0.0693878	−	0.0260972i
$657$	1.64981	+	6.15716i	0.0643651	+	0.240214i
$658$	−33.3852	+	23.5096i	−1.30149	+	0.916499i
$659$	−11.4638	+	19.8560i	−0.446568	+	0.773478i	−0.998160	−	0.0606356i	$-0.980687\pi$
$659$	−11.4638	+	19.8560i	−0.446568	+	0.773478i	0.551592	+	0.834114i	$0.314021\pi$
$660$	−0.803479	−	12.6608i	−0.0312754	−	0.492819i
$661$	−1.74204	−	3.01730i	−0.0677575	−	0.117359i	0.830156	−	0.557531i	$-0.188251\pi$
$661$	−1.74204	−	3.01730i	−0.0677575	−	0.117359i	−0.897914	+	0.440171i	$0.854918\pi$
$662$	−21.5340	+	15.1641i	−0.836943	+	0.589369i
$663$	4.12759	−	9.25661i	0.160302	−	0.359497i
$664$	13.2365	−	23.3561i	0.513675	−	0.906392i
$665$	−53.7862	+	23.1923i	−2.08574	+	0.899360i
$666$	−30.6164	+	11.2361i	−1.18636	+	0.435389i
$667$	1.50326	−	0.402797i	0.0582064	−	0.0155964i
$668$	−3.86572	+	1.82780i	−0.149569	+	0.0707196i
$669$	1.87695	+	1.08366i	0.0725672	+	0.0418967i
$670$	−0.820759	+	30.8971i	−0.0317087	+	1.19366i
$671$			22.3425i			0.862523i
$672$	−21.6991	−	14.7664i	−0.837062	−	0.569624i
$673$	0.00603696	−	0.0225303i	0.000232708	−	0.000868477i	−0.965809	−	0.259253i	$-0.916524\pi$
$673$	0.00603696	−	0.0225303i	0.000232708	−	0.000868477i	0.966042	+	0.258385i	$0.0831902\pi$
$674$	7.42459	+	20.2308i	0.285985	+	0.779260i
$675$	21.2044	−	13.0710i	0.816156	−	0.503102i
$676$	3.51021	−	25.7620i	0.135008	−	0.990845i
$677$	11.8048	−	11.8048i	0.453696	−	0.453696i	−0.442883	−	0.896579i	$-0.646044\pi$
$677$	11.8048	−	11.8048i	0.453696	−	0.453696i	0.896579	+	0.442883i	$0.146044\pi$
$678$	−12.3786	+	26.7320i	−0.475397	+	1.02664i
$679$	−1.94711	−	3.37249i	−0.0747232	−	0.129424i
$680$	−6.47253	+	16.6735i	−0.248210	+	0.639399i
$681$	2.94409			0.112818
$682$	−2.47740	+	0.223408i	−0.0948646	+	0.00855474i
$683$	8.06745	+	30.1081i	0.308693	+	1.15206i	0.929720	+	0.368267i	$0.120049\pi$
$683$	8.06745	+	30.1081i	0.308693	+	1.15206i	−0.621027	+	0.783789i	$0.713284\pi$
$684$	−21.2604	−	7.60991i	−0.812913	−	0.290972i
$685$	13.8793	−	18.6377i	0.530300	−	0.712111i
$686$	17.7150	+	48.2703i	0.676361	+	1.84297i
$687$	0.306056	−	1.14222i	0.0116768	−	0.0435783i
$688$	26.8119	−	2.63442i	1.02219	−	0.100436i
$689$	5.87287	+	15.3253i	0.223739	+	0.583847i
$690$	−2.30175	−	0.682755i	−0.0876260	−	0.0259920i
$691$	27.4041	−	15.8217i	1.04250	−	0.601888i	0.121960	−	0.992535i	$-0.461082\pi$
$691$	27.4041	−	15.8217i	1.04250	−	0.601888i	0.920540	+	0.390647i	$0.127749\pi$
$692$	40.2751	+	27.8818i	1.53103	+	1.05991i
$693$	−25.8893	+	6.93702i	−0.983453	+	0.263516i
$694$	2.50882	−	14.4537i	0.0952335	−	0.548654i
$695$	18.6498	−	2.72917i	0.707428	−	0.103523i
$696$	4.93783	−	2.90382i	0.187168	−	0.110069i
$697$	0.949218	−	0.949218i	0.0359542	−	0.0359542i
$698$	−3.44043	−	38.1514i	−0.130222	−	1.44405i
$699$	7.42175	+	12.8548i	0.280716	+	0.486215i
$700$	34.7127	−	31.2079i	1.31202	−	1.17955i
$701$	0.940325			0.0355156			0.0177578	−	0.999842i	$-0.494347\pi$
$701$	0.940325			0.0355156			0.0177578	+	0.999842i	$0.494347\pi$
$702$	−25.3444	−	1.71872i	−0.956564	−	0.0648689i
$703$	45.4815	−	45.4815i	1.71537	−	1.71537i
$704$	11.0974	−	19.9524i	0.418250	−	0.751986i
$705$	−5.07758	+	12.7759i	−0.191233	+	0.481168i
$706$	−17.7122	−	14.7819i	−0.666607	−	0.556325i
$707$	4.14061	+	4.14061i	0.155723	+	0.155723i
$708$	−3.41228	−	0.280192i	−0.128241	−	0.0105303i
$709$	8.90343	+	5.14040i	0.334376	+	0.193052i	0.657782	−	0.753208i	$-0.271495\pi$
$709$	8.90343	+	5.14040i	0.334376	+	0.193052i	−0.323407	+	0.946260i	$0.604828\pi$
$710$	12.2174	+	3.62398i	0.458510	+	0.136006i
$711$	−4.89418	−	2.82566i	−0.183546	−	0.105970i
$712$	−10.7157	+	10.8887i	−0.401588	+	0.408070i
$713$	−0.121840	+	0.454711i	−0.00456293	+	0.0170291i
$714$	−18.2830	−	3.17350i	−0.684225	−	0.118765i
$715$	−16.0676	−	16.4691i	−0.600893	−	0.615909i
$716$	16.2937	−	45.5210i	0.608924	−	1.70120i
$717$	15.0460	+	4.03157i	0.561904	+	0.150562i
$718$	−15.5366	+	33.5517i	−0.579819	+	1.25214i
$719$	17.4383	−	30.2041i	0.650340	−	1.12642i	−0.332701	−	0.943032i	$-0.607960\pi$
$719$	17.4383	−	30.2041i	0.650340	−	1.12642i	0.983040	−	0.183389i	$-0.0587068\pi$
$720$	17.9926	+	0.333836i	0.670544	+	0.0124413i
$721$	−31.9455	+	55.3313i	−1.18971	+	2.06064i
$722$	17.5942	−	1.58662i	0.654788	−	0.0590478i
$723$	−3.58274	+	3.58274i	−0.133244	+	0.133244i
$724$	−1.24608	−	1.46903i	−0.0463103	−	0.0545960i
$725$	2.91916	+	9.76046i	0.108415	+	0.362494i
$726$	−1.38290	−	3.76817i	−0.0513243	−	0.139850i
$727$	−10.5981	−	10.5981i	−0.393061	−	0.393061i	0.482716	−	0.875777i	$-0.339650\pi$
$727$	−10.5981	−	10.5981i	−0.393061	−	0.393061i	−0.875777	+	0.482716i	$0.839650\pi$
$728$	−47.3040	+	5.32796i	−1.75320	+	0.197467i
$729$			12.6748i			0.469439i
$730$	8.54041	+	5.23801i	0.316095	+	0.193867i
$731$	16.4953	−	9.52358i	0.610102	−	0.352242i
$732$	15.5114	+	1.27369i	0.573319	+	0.0470769i
$733$	20.8365	+	20.8365i	0.769614	+	0.769614i	0.978038	−	0.208425i	$-0.0668337\pi$
$733$	20.8365	+	20.8365i	0.769614	+	0.769614i	−0.208425	+	0.978038i	$0.566834\pi$
$734$	20.0630	+	16.7438i	0.740540	+	0.618027i
$735$	26.3636	+	19.6326i	0.972435	+	0.724160i
$736$	−2.82125	−	3.27255i	−0.103993	−	0.120628i
$737$	−7.21941	−	26.9432i	−0.265931	−	0.992466i
$738$	−1.22562	−	0.567541i	−0.0451159	−	0.0208915i
$739$	−22.6544	−	39.2385i	−0.833354	−	1.44341i	−0.895364	−	0.445336i	$-0.853084\pi$
$739$	−22.6544	−	39.2385i	−0.833354	−	1.44341i	0.0620097	−	0.998076i	$-0.480249\pi$
$740$	−22.7664	+	45.9255i	−0.836909	+	1.68825i
$741$	18.7801	−	7.19680i	0.689903	−	0.264381i
$742$	24.5683	−	17.3008i	0.901931	−	0.635133i
$743$	2.13628	+	0.572414i	0.0783724	+	0.0209998i	0.297792	−	0.954631i	$-0.403750\pi$
$743$	2.13628	+	0.572414i	0.0783724	+	0.0209998i	−0.219420	+	0.975631i	$0.570416\pi$
$744$	0.0138723	+	1.73269i	0.000508583	+	0.0635234i
$745$	−5.09450	−	34.8133i	−0.186648	−	1.27546i
$746$	2.66268	−	15.3401i	0.0974878	−	0.561641i
$747$	−18.4460	+	4.94260i	−0.674905	+	0.180840i
$748$	1.32097	−	16.0872i	0.0482994	−	0.588208i
$749$			46.1588i			1.68661i
$750$	4.03346	−	15.1900i	0.147281	−	0.554661i
$751$	−7.53631	+	4.35109i	−0.275004	+	0.158774i	−0.631159	−	0.775653i	$-0.717421\pi$
$751$	−7.53631	+	4.35109i	−0.275004	+	0.158774i	0.356156	+	0.934427i	$0.384087\pi$
$752$	−20.1146	+	14.4068i	−0.733502	+	0.525361i
$753$	14.9234	+	14.9234i	0.543840	+	0.543840i
$754$	3.36180	−	9.83046i	0.122429	−	0.358004i
$755$	−9.04172	+	7.14724i	−0.329062	+	0.260115i
$756$	8.32063	+	45.7591i	0.302619	+	1.66424i
$757$	41.0389	+	10.9963i	1.49159	+	0.399669i	0.910272	−	0.414011i	$-0.135872\pi$
$757$	41.0389	+	10.9963i	1.49159	+	0.399669i	0.581313	+	0.813680i	$0.302539\pi$
$758$	−2.40821	+	0.217169i	−0.0874701	+	0.00788792i
$759$	2.16672			0.0786471
$760$	−32.4774	+	14.3135i	−1.17808	+	0.519206i
$761$	6.85988	−	11.8817i	0.248670	−	0.430710i	−0.714487	−	0.699649i	$-0.753340\pi$
$761$	6.85988	−	11.8817i	0.248670	−	0.430710i	0.963157	+	0.268939i	$0.0866731\pi$
$762$	9.68869	+	13.7586i	0.350984	+	0.498421i
$763$	14.0939	+	52.5990i	0.510232	+	1.90421i
$764$	6.60186	+	36.3068i	0.238847	+	1.31353i
$765$	11.6830	−	5.03766i	0.422401	−	0.182137i
$766$	−4.75513	−	0.825379i	−0.171810	−	0.0298221i
$767$	−5.02572	+	3.64705i	−0.181468	+	0.131687i
$768$	−13.2195	−	8.84190i	−0.477016	−	0.319055i
$769$	−13.8882	+	8.01833i	−0.500820	+	0.289148i	−0.729052	−	0.684458i	$-0.760039\pi$
$769$	−13.8882	+	8.01833i	−0.500820	+	0.289148i	0.228232	+	0.973607i	$0.426705\pi$
$770$	−22.0245	+	35.9102i	−0.793708	+	1.29412i
$771$	9.22574	+	5.32648i	0.332257	+	0.191829i
$772$	−42.6828	+	20.1814i	−1.53619	+	0.726343i
$773$	32.2328	−	8.63675i	1.15933	−	0.310642i	0.372634	−	0.927978i	$-0.378455\pi$
$773$	32.2328	−	8.63675i	1.15933	−	0.310642i	0.786700	+	0.617336i	$0.211788\pi$
$774$	−14.7135	−	12.2793i	−0.528866	−	0.441371i
$775$	−2.99834	−	0.711492i	−0.107703	−	0.0255575i
$776$	−1.19614	−	2.03400i	−0.0429391	−	0.0730163i
$777$	−51.3687	−	13.7642i	−1.84284	−	0.493788i
$778$	−23.3992	−	10.8353i	−0.838903	−	0.388465i
$779$	2.66380			0.0954404
$780$	−12.3497	+	10.2161i	−0.442191	+	0.365797i
$781$	−11.5007			−0.411528
$782$	−2.77199	−	1.28361i	−0.0991262	−	0.0459016i
$783$	−9.80483	−	2.62720i	−0.350396	−	0.0938883i
$784$	20.8248	+	55.3694i	0.743744	+	1.97748i
$785$	−24.3211	−	2.84613i	−0.868057	−	0.101583i
$786$	−2.05008	−	1.71092i	−0.0731239	−	0.0610264i
$787$	23.1839	−	6.21211i	0.826417	−	0.221438i	0.179267	−	0.983801i	$-0.442627\pi$
$787$	23.1839	−	6.21211i	0.826417	−	0.221438i	0.647150	+	0.762363i	$0.275961\pi$
$788$	−12.3404	−	26.0994i	−0.439607	−	0.929752i
$789$	17.5569	+	10.1365i	0.625042	+	0.360868i
$790$	−8.63768	+	2.07027i	−0.307315	+	0.0736569i
$791$	84.7166	−	48.9112i	3.01218	−	1.73908i
$792$	−15.6531	+	4.32884i	−0.556208	+	0.153819i
$793$	22.8458	−	16.5787i	0.811277	−	0.588726i
$794$	−35.1857	−	6.10741i	−1.24869	−	0.216744i
$795$	3.73662	−	9.40185i	0.132524	−	0.333449i
$796$	−3.60885	+	0.656217i	−0.127912	+	0.0232590i
$797$	4.01337	+	14.9781i	0.142161	+	0.530551i	0.999865	+	0.0164083i	$0.00522314\pi$
$797$	4.01337	+	14.9781i	0.142161	+	0.530551i	−0.857705	+	0.514143i	$0.828110\pi$
$798$	−21.2010	−	30.1068i	−0.750506	−	1.06577i
$799$	−8.74612	+	15.1487i	−0.309416	+	0.535923i
$800$	20.8815	−	19.0778i	0.738274	−	0.674501i
$801$	10.8672			0.383975
$802$	−32.0534	+	2.89052i	−1.13184	+	0.102068i
$803$	−8.73356	−	2.34015i	−0.308201	−	0.0825822i
$804$	−19.1171	+	3.47616i	−0.674206	+	0.122595i
$805$	4.94391	+	6.25437i	0.174250	+	0.220438i
$806$	2.06673	+	2.36743i	0.0727974	+	0.0833891i
$807$	5.44193	+	5.44193i	0.191565	+	0.191565i
$808$	2.52894	+	2.48877i	0.0889679	+	0.0875546i
$809$	9.04721	−	5.22341i	0.318083	−	0.183645i	−0.332455	−	0.943119i	$-0.607877\pi$
$809$	9.04721	−	5.22341i	0.318083	−	0.183645i	0.650538	+	0.759474i	$0.274544\pi$
$810$	−2.35867	−	2.48740i	−0.0828751	−	0.0873983i
$811$			17.8149i			0.625565i	0.949825	+	0.312783i	$0.101261\pi$
$811$			17.8149i			0.625565i	−0.949825	+	0.312783i	$0.898739\pi$
$812$	−18.9580	−	1.55670i	−0.665297	−	0.0546295i
$813$	4.62381	−	1.23895i	0.162164	−	0.0434517i
$814$	7.91130	−	45.5781i	0.277291	−	1.59751i
$815$	21.8343	−	29.3201i	0.764822	−	1.02704i
$816$	−11.0934	−	1.83418i	−0.388345	−	0.0642092i
$817$	36.5085	+	9.78242i	1.27727	+	0.342244i
$818$	9.09940	−	6.40772i	0.318153	−	0.224041i
$819$	26.3037	+	21.3250i	0.919127	+	0.745156i
$820$	−2.01160	+	0.678200i	−0.0702482	+	0.0236838i
$821$	5.99404	+	10.3820i	0.209193	+	0.362334i	0.951461	−	0.307770i	$-0.0995829\pi$
$821$	5.99404	+	10.3820i	0.209193	+	0.362334i	−0.742267	+	0.670104i	$0.766250\pi$
$822$	13.2563	+	6.13852i	0.462368	+	0.214105i
$823$	8.84149	+	32.9969i	0.308195	+	1.15020i	0.930160	+	0.367154i	$0.119668\pi$
$823$	8.84149	+	32.9969i	0.308195	+	1.15020i	−0.621965	+	0.783045i	$0.713665\pi$
$824$	−19.0879	+	33.6810i	−0.664958	+	1.17333i
$825$	0.408618	+	14.1777i	0.0142262	+	0.493606i
$826$	8.72868	+	7.28462i	0.303709	+	0.253464i
$827$	−26.2709	−	26.2709i	−0.913527	−	0.913527i	0.0830208	−	0.996548i	$-0.473543\pi$
$827$	−26.2709	−	26.2709i	−0.913527	−	0.913527i	−0.996548	+	0.0830208i	$0.973543\pi$
$828$	−0.251531	+	3.06323i	−0.00874131	+	0.106455i
$829$	−43.0101	+	24.8319i	−1.49380	+	0.862448i	−0.999975	−	0.00711199i	$-0.997736\pi$
$829$	−43.0101	+	24.8319i	−1.49380	+	0.862448i	−0.493828	+	0.869559i	$0.664403\pi$
$830$	−15.6924	+	25.5859i	−0.544690	+	0.888100i
$831$		−	19.5024i		−	0.676530i
$832$	−28.6364	+	3.45777i	−0.992789	+	0.119877i
$833$	29.5734	+	29.5734i	1.02466	+	1.02466i
$834$	4.08236	+	11.1237i	0.141361	+	0.385184i
$835$	4.39005	−	1.89296i	0.151924	−	0.0655087i
$836$	24.4264	−	20.7193i	0.844804	−	0.716593i
$837$	2.17112	−	2.17112i	0.0750448	−	0.0750448i
$838$	5.71090	−	0.515000i	0.197280	−	0.0177904i
$839$	−2.47106	+	4.28001i	−0.0853106	+	0.147762i	−0.905524	−	0.424296i	$-0.860522\pi$
$839$	−2.47106	+	4.28001i	−0.0853106	+	0.147762i	0.820213	+	0.572058i	$0.193855\pi$
$840$	23.6753	+	17.3378i	0.816877	+	0.598211i
$841$	−12.4242	+	21.5194i	−0.428422	+	0.742049i
$842$	3.87339	−	8.36472i	0.133486	−	0.288267i
$843$	−17.3285	−	4.64315i	−0.596824	−	0.159919i
$844$	23.0047	+	8.23423i	0.791853	+	0.283434i
$845$	−4.91753	+	28.6499i	−0.169168	+	0.985587i
$846$	17.3405	+	3.00991i	0.596179	+	0.103483i
$847$	−3.44973	+	12.8746i	−0.118534	+	0.442376i
$848$	14.8024	−	10.6020i	0.508317	−	0.364075i
$849$	11.6303	+	6.71478i	0.399153	+	0.230451i
$850$	7.87638	−	18.3803i	0.270158	−	0.630440i
$851$	−7.58175	−	4.37733i	−0.259899	−	0.150053i
$852$	−0.655625	+	7.98443i	−0.0224613	+	0.273542i
$853$	−27.0391	−	27.0391i	−0.925800	−	0.925800i	0.0716310	−	0.997431i	$-0.477180\pi$
$853$	−27.0391	−	27.0391i	−0.925800	−	0.925800i	−0.997431	+	0.0716310i	$0.977180\pi$
$854$	−39.6785	−	33.1142i	−1.35777	−	1.13314i
$855$	23.4617	+	9.32448i	0.802373	+	0.318890i
$856$	0.223921	+	27.9684i	0.00765346	+	0.955939i
$857$	19.3259	−	19.3259i	0.660161	−	0.660161i	−0.295257	−	0.955418i	$-0.595405\pi$
$857$	19.3259	−	19.3259i	0.660161	−	0.660161i	0.955418	+	0.295257i	$0.0954051\pi$
$858$	8.06323	−	12.0086i	0.275274	−	0.409967i
$859$	−13.8611			−0.472935			−0.236468	−	0.971639i	$-0.575990\pi$
$859$	−13.8611			−0.472935			−0.236468	+	0.971639i	$0.575990\pi$
$860$	−30.0605	+	1.90770i	−1.02505	+	0.0650521i
$861$	−1.10123	−	1.90738i	−0.0375297	−	0.0650034i
$862$	1.52103	+	16.8669i	0.0518066	+	0.574490i
$863$	−14.5074	+	14.5074i	−0.493837	+	0.493837i	−0.909513	−	0.415676i	$-0.863545\pi$
$863$	−14.5074	+	14.5074i	−0.493837	+	0.493837i	0.415676	+	0.909513i	$0.363545\pi$
$864$	5.26358	+	27.6858i	0.179071	+	0.941890i
$865$	−43.9248	−	32.7102i	−1.49349	−	1.11218i
$866$	−0.864874	+	4.98267i	−0.0293896	+	0.169318i
$867$	8.64353	−	2.31603i	0.293550	−	0.0786564i
$868$	3.27504	−	4.73079i	0.111162	−	0.160573i
$869$	6.94211	−	4.00803i	0.235495	−	0.135963i
$870$	−5.62956	+	3.05385i	−0.190860	+	0.103535i
$871$	−22.1931	+	27.3745i	−0.751985	+	0.927550i
$872$	8.79486	+	31.8022i	0.297831	+	1.07696i
$873$	−0.434431	+	1.62132i	−0.0147033	+	0.0548733i
$874$	−2.08843	−	5.69062i	−0.0706423	−	0.192488i
$875$	−39.9925	+	33.5295i	−1.35199	+	1.13350i
$876$	−2.12254	+	5.92992i	−0.0717140	+	0.200354i
$877$	−9.09253	−	33.9338i	−0.307033	−	1.14586i	−0.931181	−	0.364557i	$-0.881221\pi$
$877$	−9.09253	−	33.9338i	−0.307033	−	1.14586i	0.624148	−	0.781306i	$-0.285446\pi$
$878$	39.7726	−	3.58663i	1.34226	−	0.121043i
$879$	1.65783			0.0559172
$880$	−13.1708	+	21.8654i	−0.443987	+	0.737083i
$881$	20.9934	+	36.3617i	0.707287	+	1.22506i	0.965860	+	0.259065i	$0.0834145\pi$
$881$	20.9934	+	36.3617i	0.707287	+	1.22506i	−0.258573	+	0.965992i	$0.583252\pi$
$882$	17.6820	−	38.1850i	0.595385	−	1.28575i
$883$	28.0110	−	28.0110i	0.942645	−	0.942645i	−0.0557969	−	0.998442i	$-0.517770\pi$
$883$	28.0110	−	28.0110i	0.942645	−	0.942645i	0.998442	+	0.0557969i	$0.0177699\pi$
$884$	−17.4298	+	10.5864i	−0.586227	+	0.356058i
$885$	3.80194	+	0.444914i	0.127801	+	0.0149556i
$886$	−16.5940	−	45.2159i	−0.557488	−	1.51906i
$887$	0.0189686	−	0.0707917i	0.000636903	−	0.00237695i	−0.965607	−	0.260007i	$-0.916275\pi$
$887$	0.0189686	−	0.0707917i	0.000636903	−	0.00237695i	0.966244	+	0.257630i	$0.0829417\pi$
$888$	−31.1919	−	8.09075i	−1.04673	−	0.271508i
$889$		−	55.8784i		−	1.87410i
$890$	12.3941	−	11.7526i	0.415450	−	0.393949i
$891$	2.67912	+	1.54679i	0.0897539	+	0.0518194i
$892$	−1.86404	−	3.94237i	−0.0624126	−	0.132000i
$893$	−33.5281	+	8.98383i	−1.12198	+	0.300633i
$894$	20.7645	−	7.62049i	0.694470	−	0.254867i
$895$	−19.9648	+	50.2341i	−0.667349	+	1.67914i
$896$	18.9863	+	49.2800i	0.634286	+	1.64633i
$897$	−1.60776	−	2.21553i	−0.0536815	−	0.0739743i
$898$	−19.1812	+	13.5072i	−0.640085	+	0.450743i
$899$	0.627884	+	1.08753i	0.0209411	+	0.0362711i
$900$	−20.0914	−	1.06818i	−0.669714	−	0.0356060i
$901$	6.43631	−	11.1480i	0.214425	−	0.371395i
$902$	1.56641	−	1.10305i	0.0521556	−	0.0367276i
$903$	−8.08821	−	30.1856i	−0.269159	−	1.00451i
$904$	51.0939	−	30.0470i	1.69936	−	0.999349i
$905$	1.33557	+	1.68959i	0.0443959	+	0.0561637i
$906$	−5.56281	−	4.64251i	−0.184812	−	0.154237i
$907$	3.45839	−	12.9069i	0.114834	−	0.428566i	−0.884440	−	0.466653i	$-0.845460\pi$
$907$	3.45839	−	12.9069i	0.114834	−	0.428566i	0.999274	+	0.0380869i	$0.0121264\pi$
$908$	−4.87054	−	3.37179i	−0.161635	−	0.111897i
$909$		−	2.52396i		−	0.0837146i
$910$	53.0618	−	4.12564i	1.75898	−	0.136764i
$911$			4.30059i			0.142485i	0.997459	+	0.0712424i	$0.0226964\pi$
$911$			4.30059i			0.142485i	−0.997459	+	0.0712424i	$0.977304\pi$
$912$	−12.9920	−	18.1393i	−0.430209	−	0.600653i
$913$	7.01078	−	26.1646i	0.232023	−	0.865921i
$914$	15.6260	−	18.7236i	0.516863	−	0.619323i
$915$	−17.2827	−	2.02248i	−0.571350	−	0.0668610i
$916$	−1.81447	+	1.53910i	−0.0599518	+	0.0508533i
$917$	2.29490	+	8.56468i	0.0757843	+	0.282831i
$918$	11.4716	+	16.2905i	0.378621	+	0.537667i
$919$	9.12315	−	15.8018i	0.300945	−	0.521252i	−0.675405	−	0.737447i	$-0.736031\pi$
$919$	9.12315	−	15.8018i	0.300945	−	0.521252i	0.976350	+	0.216195i	$0.0693646\pi$
$920$	3.02593	+	3.76564i	0.0997621	+	0.124149i
$921$	−10.9560	−	18.9763i	−0.361012	−	0.625291i
$922$	2.45253	+	3.48276i	0.0807698	+	0.114699i
$923$	8.53379	+	11.7597i	0.280893	+	0.387077i
$924$	−24.9338	−	8.92475i	−0.820263	−	0.293603i
$925$	27.2128	−	50.4360i	0.894751	−	1.65832i
$926$	−6.46700	−	17.6215i	−0.212519	−	0.579078i
$927$	26.6004	−	7.12756i	0.873672	−	0.234100i
$928$	−11.4945	−	0.851261i	−0.377326	−	0.0279440i
$929$	−4.92951	−	2.84605i	−0.161732	−	0.0933759i	0.416950	−	0.908930i	$-0.363099\pi$
$929$	−4.92951	−	2.84605i	−0.161732	−	0.0933759i	−0.578681	+	0.815554i	$0.696433\pi$
$930$	0.0514438	−	1.93658i	0.00168691	−	0.0635030i
$931$			82.9920i			2.71995i
$932$	2.44419	−	29.7662i	0.0800621	−	0.975025i
$933$	−5.21304	+	19.4553i	−0.170667	+	0.636939i
$934$	−38.3026	+	14.0569i	−1.25330	+	0.459955i
$935$	−2.09755	+	17.9243i	−0.0685974	+	0.586187i
$936$	16.0413	+	12.7936i	0.524326	+	0.418170i
$937$	−36.1973	+	36.1973i	−1.18252	+	1.18252i	−0.203424	+	0.979091i	$0.565207\pi$
$937$	−36.1973	+	36.1973i	−1.18252	+	1.18252i	−0.979091	+	0.203424i	$0.934793\pi$
$938$	58.5490	+	27.1119i	1.91169	+	0.885234i
$939$	7.72831	+	13.3858i	0.252204	+	0.436830i
$940$	23.0319	−	15.3205i	0.751219	−	0.499699i
$941$	−28.3890			−0.925454			−0.462727	−	0.886501i	$-0.653129\pi$
$941$	−28.3890			−0.925454			−0.462727	+	0.886501i	$0.653129\pi$
$942$	−1.38259	−	15.3317i	−0.0450472	−	0.499535i
$943$	−0.0938398	−	0.350215i	−0.00305584	−	0.0114046i
$944$	5.32418	+	4.37152i	0.173287	+	0.142281i
$945$	−7.52924	−	51.4512i	−0.244926	−	1.67371i
$946$	25.5191	−	9.36539i	0.829697	−	0.304495i
$947$	6.85565	−	25.5856i	0.222779	−	0.831421i	−0.760504	−	0.649334i	$-0.775048\pi$
$947$	6.85565	−	25.5856i	0.222779	−	0.831421i	0.983282	−	0.182088i	$-0.0582855\pi$
$948$	−2.38685	−	5.04809i	−0.0775211	−	0.163954i
$949$	4.08764	+	10.6667i	0.132691	+	0.346257i
$950$	36.8422	−	14.7386i	1.19532	−	0.478184i
$951$	0.444116	−	0.256411i	0.0144015	−	0.00831469i
$952$	26.6118	+	26.1891i	0.862494	+	0.848793i
$953$	−26.8711	+	7.20008i	−0.870439	+	0.233233i	−0.666278	−	0.745704i	$-0.732113\pi$
$953$	−26.8711	+	7.20008i	−0.870439	+	0.233233i	−0.204161	+	0.978937i	$0.565447\pi$
$954$	−12.7610	−	2.21500i	−0.413151	−	0.0717134i
$955$	−5.97394	−	40.8230i	−0.193312	−	1.32100i
$956$	−20.2740	−	23.9014i	−0.655709	−	0.773026i
$957$	4.08701	−	4.08701i	0.132114	−	0.132114i
$958$	6.02636	−	0.543447i	0.194703	−	0.0175580i
$959$	−24.2550	−	42.0108i	−0.783233	−	1.35660i
$960$	14.4294	+	10.3904i	0.465706	+	0.335348i
$961$	30.6202			0.987747
$962$	−52.4751	+	25.7305i	−1.69187	+	0.829585i
$963$	14.0684	−	14.0684i	0.453347	−	0.453347i
$964$	10.0303	−	1.82386i	0.323054	−	0.0587427i
$965$	48.4720	−	20.9009i	1.56037	−	0.672823i
$966$	−3.21134	+	3.84793i	−0.103323	+	0.123805i
$967$	−30.0107	−	30.0107i	−0.965078	−	0.965078i	0.0343325	−	0.999410i	$-0.489069\pi$
$967$	−30.0107	−	30.0107i	−0.965078	−	0.965078i	−0.999410	+	0.0343325i	$0.989069\pi$
$968$	−2.02779	+	7.81765i	−0.0651757	+	0.251269i
$969$	−13.6611	−	7.88726i	−0.438859	−	0.253375i
$970$	1.25795	+	2.31894i	0.0403902	+	0.0744566i
$971$	−48.7597	−	28.1514i	−1.56477	−	0.903422i	−0.996763	−	0.0803993i	$-0.974380\pi$
$971$	−48.7597	−	28.1514i	−1.56477	−	0.903422i	−0.568009	−	0.823022i	$-0.692286\pi$
$972$	18.2406	−	26.3484i	0.585066	−	0.845126i
$973$	10.1837	−	38.0061i	0.326475	−	1.21842i
$974$	9.04518	−	52.1106i	0.289826	−	1.66973i
$975$	14.1939	−	10.9380i	0.454568	−	0.350297i
$976$	−24.2025	−	19.8719i	−0.774703	−	0.636085i
$977$	9.66990	+	2.59104i	0.309368	+	0.0828948i	0.410163	−	0.912012i	$-0.365472\pi$
$977$	9.66990	+	2.59104i	0.309368	+	0.0828948i	−0.100795	+	0.994907i	$0.532139\pi$
$978$	20.8543	+	9.65687i	0.666848	+	0.308793i
$979$	−7.70726	+	13.3494i	−0.246325	+	0.426648i
$980$	−21.1297	−	62.6725i	−0.674963	−	2.00200i
$981$	11.7357	−	20.3268i	0.374691	−	0.648985i
$982$	3.24228	+	35.9540i	0.103465	+	1.14734i
$983$	37.2650	−	37.2650i	1.18857	−	1.18857i	0.211106	−	0.977463i	$-0.432293\pi$
$983$	37.2650	−	37.2650i	1.18857	−	1.18857i	0.977463	−	0.211106i	$-0.0677066\pi$
$984$	−0.676503	−	1.15037i	−0.0215661	−	0.0366724i
$985$	12.7803	+	29.6393i	0.407215	+	0.944388i
$986$	−7.64993	+	2.80749i	−0.243623	+	0.0894087i
$987$	20.2935	+	20.2935i	0.645948	+	0.645948i
$988$	−39.3110	−	9.60234i	−1.25065	−	0.305491i
$989$		−	5.14446i		−	0.163584i
$990$	17.6575	−	4.23212i	0.561191	−	0.134506i
$991$	−34.2761	+	19.7893i	−1.08881	+	0.628628i	−0.933261	−	0.359200i	$-0.883050\pi$
$991$	−34.2761	+	19.7893i	−1.08881	+	0.628628i	−0.155554	+	0.987827i	$0.549716\pi$
$992$	1.96145	−	2.88234i	0.0622761	−	0.0915145i
$993$	13.0896	+	13.0896i	0.415387	+	0.415387i
$994$	17.0454	−	20.4243i	0.540647	−	0.647821i
$995$	4.05776	−	0.593803i	0.128640	−	0.0188248i
$996$	−17.7652	−	6.35885i	−0.562913	−	0.201488i
$997$	11.2179	+	41.8657i	0.355274	+	1.32590i	0.880140	+	0.474715i	$0.157449\pi$
$997$	11.2179	+	41.8657i	0.355274	+	1.32590i	−0.524866	+	0.851185i	$0.675885\pi$
$998$	−4.29025	+	9.26495i	−0.135806	+	0.293277i
$999$	28.5506	+	49.4511i	0.903301	+	1.56456i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bj.c.3.14	✓	144
4.3	odd	2	inner	260.2.bj.c.3.21	yes	144
5.2	odd	4	inner	260.2.bj.c.107.5	yes	144
13.9	even	3	inner	260.2.bj.c.243.36	yes	144
20.7	even	4	inner	260.2.bj.c.107.36	yes	144
52.35	odd	6	inner	260.2.bj.c.243.5	yes	144
65.22	odd	12	inner	260.2.bj.c.87.21	yes	144
260.87	even	12	inner	260.2.bj.c.87.14	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bj.c.3.14	✓	144	1.1	even	1	trivial
260.2.bj.c.3.21	yes	144	4.3	odd	2	inner
260.2.bj.c.87.14	yes	144	260.87	even	12	inner
260.2.bj.c.87.21	yes	144	65.22	odd	12	inner
260.2.bj.c.107.5	yes	144	5.2	odd	4	inner
260.2.bj.c.107.36	yes	144	20.7	even	4	inner
260.2.bj.c.243.5	yes	144	52.35	odd	6	inner
260.2.bj.c.243.36	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)

\(f(q)\)	\(=\)	\(q+(-0.594250 + 1.28330i) q^{2} +(0.960123 + 0.257264i) q^{3} +(-1.29373 - 1.52521i) q^{4} +(1.38665 + 1.75420i) q^{5} +(-0.900701 + 1.07925i) q^{6} +(4.50882 - 1.20813i) q^{7} +(2.72610 - 0.753900i) q^{8} +(-1.74242 - 1.00599i) q^{9} +O(q^{10})\)	\(q+(-0.594250 + 1.28330i) q^{2} +(0.960123 + 0.257264i) q^{3} +(-1.29373 - 1.52521i) q^{4} +(1.38665 + 1.75420i) q^{5} +(-0.900701 + 1.07925i) q^{6} +(4.50882 - 1.20813i) q^{7} +(2.72610 - 0.753900i) q^{8} +(-1.74242 - 1.00599i) q^{9} +(-3.07518 + 0.737057i) q^{10} +(2.47152 - 1.42694i) q^{11} +(-0.849763 - 1.79722i) q^{12} +(-3.29300 - 1.46837i) q^{13} +(-1.12896 + 6.50412i) q^{14} +(0.880059 + 2.04098i) q^{15} +(-0.652504 + 3.94642i) q^{16} +(0.731935 + 2.73162i) q^{17} +(2.32643 - 1.63825i) q^{18} +(-2.80586 + 4.85990i) q^{19} +(0.881560 - 4.38439i) q^{20} +4.63983 q^{21} +(0.362488 + 4.01967i) q^{22} +(0.737785 + 0.197689i) q^{23} +(2.81135 - 0.0225083i) q^{24} +(-1.15442 + 4.86491i) q^{25} +(3.84124 - 3.35334i) q^{26} +(-3.52271 - 3.52271i) q^{27} +(-7.67587 - 5.31387i) q^{28} +(1.76455 - 1.01876i) q^{29} +(-3.14217 - 0.0834694i) q^{30} +0.616320i q^{31} +(-4.67670 - 3.18252i) q^{32} +(2.74007 - 0.734199i) q^{33} +(-3.94045 - 0.683970i) q^{34} +(8.37145 + 6.23410i) q^{35} +(0.719894 + 3.95904i) q^{36} +(-11.0713 - 2.96653i) q^{37} +(-4.56934 - 6.48877i) q^{38} +(-2.78393 - 2.25699i) q^{39} +(5.10263 + 3.73673i) q^{40} +(-0.237342 - 0.411088i) q^{41} +(-2.75722 + 5.95431i) q^{42} +(-1.74321 - 6.50575i) q^{43} +(-5.37387 - 1.92351i) q^{44} +(-0.651423 - 4.45151i) q^{45} +(-0.692123 + 0.829325i) q^{46} +(4.37375 + 4.37375i) q^{47} +(-1.64176 + 3.62118i) q^{48} +(12.8077 - 7.39452i) q^{49} +(-5.55714 - 4.37244i) q^{50} +2.81099i q^{51} +(2.02070 + 6.92219i) q^{52} +(-3.21867 - 3.21867i) q^{53} +(6.61408 - 2.42734i) q^{54} +(5.93026 + 2.35689i) q^{55} +(11.3807 - 6.69270i) q^{56} +(-3.94425 + 3.94425i) q^{57} +(0.258799 + 2.86986i) q^{58} +(0.861114 - 1.49149i) q^{59} +(1.97435 - 3.98276i) q^{60} +(-3.91442 + 6.77998i) q^{61} +(-0.790925 - 0.366248i) q^{62} +(-9.07165 - 2.43074i) q^{63} +(6.86327 - 4.11042i) q^{64} +(-1.99041 - 7.81270i) q^{65} +(-0.686085 + 3.95263i) q^{66} +(2.52969 - 9.44094i) q^{67} +(3.21935 - 4.65034i) q^{68} +(0.657506 + 0.379611i) q^{69} +(-12.9750 + 7.03849i) q^{70} +(-3.48996 - 2.01493i) q^{71} +(-5.50844 - 1.42882i) q^{72} +(-2.24026 - 2.24026i) q^{73} +(10.3860 - 12.4449i) q^{74} +(-2.35995 + 4.37392i) q^{75} +(11.0424 - 2.00790i) q^{76} +(9.41973 - 9.41973i) q^{77} +(4.55076 - 2.23141i) q^{78} +2.80884 q^{79} +(-7.82760 + 4.32767i) q^{80} +(0.541998 + 0.938767i) q^{81} +(0.668592 - 0.0602925i) q^{82} +(6.71152 - 6.71152i) q^{83} +(-6.00271 - 7.07670i) q^{84} +(-3.77687 + 5.07175i) q^{85} +(9.38476 + 1.62897i) q^{86} +(1.95628 - 0.524183i) q^{87} +(5.66186 - 5.75325i) q^{88} +(-4.67764 + 2.70063i) q^{89} +(6.09975 + 1.80934i) q^{90} +(-16.6216 - 2.64224i) q^{91} +(-0.652981 - 1.38103i) q^{92} +(-0.158557 + 0.591743i) q^{93} +(-8.21195 + 3.01375i) q^{94} +(-12.4160 + 1.81692i) q^{95} +(-3.67146 - 4.25876i) q^{96} +(-0.215922 - 0.805833i) q^{97} +(1.87845 + 20.8303i) q^{98} -5.74193 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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