LMFDB - Embedded newform 260.2.bj.c.3.1

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			3.1
Character	$\chi$	$=$	260.3
Dual form			260.2.bj.c.87.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41378 + 0.0350218i) q^{2} +(-1.66173 - 0.445260i) q^{3} +(1.99755 - 0.0990263i) q^{4} +(1.78102 + 1.35202i) q^{5} +(2.36492 + 0.571303i) q^{6} +(-1.76644 + 0.473317i) q^{7} +(-2.82062 + 0.209959i) q^{8} +(-0.0349771 - 0.0201940i) q^{9} +O(q^{10})$	\(q+(-1.41378 + 0.0350218i) q^{2} +(-1.66173 - 0.445260i) q^{3} +(1.99755 - 0.0990263i) q^{4} +(1.78102 + 1.35202i) q^{5} +(2.36492 + 0.571303i) q^{6} +(-1.76644 + 0.473317i) q^{7} +(-2.82062 + 0.209959i) q^{8} +(-0.0349771 - 0.0201940i) q^{9} +(-2.56533 - 1.84908i) q^{10} +(2.22611 - 1.28525i) q^{11} +(-3.36348 - 0.724872i) q^{12} +(0.244700 + 3.59724i) q^{13} +(2.48079 - 0.731030i) q^{14} +(-2.35758 - 3.03971i) q^{15} +(3.98039 - 0.395619i) q^{16} +(0.574687 + 2.14476i) q^{17} +(0.0501572 + 0.0273250i) q^{18} +(-3.24522 + 5.62089i) q^{19} +(3.69156 + 2.52435i) q^{20} +3.14611 q^{21} +(-3.10222 + 1.89502i) q^{22} +(3.83723 + 1.02818i) q^{23} +(4.78061 + 0.907015i) q^{24} +(1.34409 + 4.81596i) q^{25} +(-0.471934 - 5.07713i) q^{26} +(3.69855 + 3.69855i) q^{27} +(-3.48168 + 1.12040i) q^{28} +(0.834606 - 0.481860i) q^{29} +(3.43956 + 4.21492i) q^{30} +10.9369i q^{31} +(-5.61354 + 0.698719i) q^{32} +(-4.27147 + 1.14454i) q^{33} +(-0.887594 - 3.01209i) q^{34} +(-3.78601 - 1.54528i) q^{35} +(-0.0718682 - 0.0368749i) q^{36} +(6.61235 + 1.77177i) q^{37} +(4.39118 - 8.06036i) q^{38} +(1.19508 - 6.08660i) q^{39} +(-5.30747 - 3.43959i) q^{40} +(-1.48862 - 2.57836i) q^{41} +(-4.44790 + 0.110182i) q^{42} +(-2.49101 - 9.29656i) q^{43} +(4.31949 - 2.78778i) q^{44} +(-0.0349923 - 0.0832558i) q^{45} +(-5.46100 - 1.31924i) q^{46} +(-0.216969 - 0.216969i) q^{47} +(-6.79049 - 1.11489i) q^{48} +(-3.16589 + 1.82782i) q^{49} +(-2.06891 - 6.76163i) q^{50} -3.81990i q^{51} +(0.845021 + 7.16142i) q^{52} +(-6.81041 - 6.81041i) q^{53} +(-5.35846 - 5.09940i) q^{54} +(5.70244 + 0.720692i) q^{55} +(4.88309 - 1.70593i) q^{56} +(7.89545 - 7.89545i) q^{57} +(-1.16307 + 0.710473i) q^{58} +(-0.207279 + 0.359019i) q^{59} +(-5.01040 - 5.83851i) q^{60} +(0.169884 - 0.294247i) q^{61} +(-0.383031 - 15.4624i) q^{62} +(0.0713433 + 0.0191164i) q^{63} +(7.91183 - 1.18443i) q^{64} +(-4.42772 + 6.73760i) q^{65} +(5.99884 - 1.76772i) q^{66} +(-0.923966 + 3.44829i) q^{67} +(1.36035 + 4.22735i) q^{68} +(-5.91864 - 3.41713i) q^{69} +(5.40670 + 2.05209i) q^{70} +(10.5218 + 6.07474i) q^{71} +(0.102897 + 0.0496160i) q^{72} +(-2.58855 - 2.58855i) q^{73} +(-9.41046 - 2.27332i) q^{74} +(-0.0891646 - 8.60130i) q^{75} +(-5.92587 + 11.5494i) q^{76} +(-3.32397 + 3.32397i) q^{77} +(-1.47642 + 8.64697i) q^{78} -2.07727 q^{79} +(7.62405 + 4.67695i) q^{80} +(-4.43860 - 7.68788i) q^{81} +(2.19488 + 3.59310i) q^{82} +(8.13440 - 8.13440i) q^{83} +(6.28449 - 0.311547i) q^{84} +(-1.87623 + 4.59686i) q^{85} +(3.84732 + 13.0560i) q^{86} +(-1.60144 + 0.429106i) q^{87} +(-6.00918 + 4.09259i) q^{88} +(-3.65328 + 2.10922i) q^{89} +(0.0523872 + 0.116480i) q^{90} +(-2.13488 - 6.23850i) q^{91} +(7.76686 + 1.67386i) q^{92} +(4.86977 - 18.1742i) q^{93} +(0.314345 + 0.299148i) q^{94} +(-13.3794 + 5.62334i) q^{95} +(9.63931 + 1.33840i) q^{96} +(2.70741 + 10.1042i) q^{97} +(4.41185 - 2.69502i) q^{98} -0.103817 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 $

$2$	−1.41378	+	0.0350218i	−0.999693	+	0.0247642i
$2$	−1.41378	+	0.0350218i	−0.999693	+	0.0247642i
$3$	−1.66173	−	0.445260i	−0.959402	−	0.257071i	−0.255055	−	0.966927i	$-0.582093\pi$
$3$	−1.66173	−	0.445260i	−0.959402	−	0.257071i	−0.704347	+	0.709856i	$0.748760\pi$
$4$	1.99755	−	0.0990263i	0.998773	−	0.0495132i
$5$	1.78102	+	1.35202i	0.796498	+	0.604641i
$5$	1.78102	+	1.35202i	0.796498	+	0.604641i
$6$	2.36492	+	0.571303i	0.965474	+	0.233233i
$7$	−1.76644	+	0.473317i	−0.667653	+	0.178897i	−0.576697	−	0.816958i	$-0.695659\pi$
$7$	−1.76644	+	0.473317i	−0.667653	+	0.178897i	−0.0909555	+	0.995855i	$0.528992\pi$
$8$	−2.82062	+	0.209959i	−0.997241	+	0.0742318i
$9$	−0.0349771	−	0.0201940i	−0.0116590	−	0.00673135i
$10$	−2.56533	−	1.84908i	−0.811227	−	0.584731i
$11$	2.22611	−	1.28525i	0.671198	−	0.387516i	−0.125332	−	0.992115i	$-0.540000\pi$
$11$	2.22611	−	1.28525i	0.671198	−	0.387516i	0.796530	+	0.604598i	$0.206666\pi$
$12$	−3.36348	−	0.724872i	−0.970953	−	0.209253i
$13$	0.244700	+	3.59724i	0.0678676	+	0.997694i
$13$	0.244700	+	3.59724i	0.0678676	+	0.997694i
$14$	2.48079	−	0.731030i	0.663018	−	0.195376i
$15$	−2.35758	−	3.03971i	−0.608726	−	0.784850i
$16$	3.98039	−	0.395619i	0.995097	−	0.0989048i
$17$	0.574687	+	2.14476i	0.139382	+	0.520181i	0.999941	+	0.0108305i	$0.00344753\pi$
$17$	0.574687	+	2.14476i	0.139382	+	0.520181i	−0.860559	+	0.509350i	$0.829886\pi$
$18$	0.0501572	+	0.0273250i	0.0118222	+	0.00644056i
$19$	−3.24522	+	5.62089i	−0.744506	+	1.28952i	0.205920	+	0.978569i	$0.433981\pi$
$19$	−3.24522	+	5.62089i	−0.744506	+	1.28952i	−0.950425	+	0.310953i	$0.899352\pi$
$20$	3.69156	+	2.52435i	0.825459	+	0.564463i
$21$	3.14611			0.686536
$22$	−3.10222	+	1.89502i	−0.661396	+	0.404019i
$23$	3.83723	+	1.02818i	0.800117	+	0.214391i	0.635636	−	0.771989i	$-0.280738\pi$
$23$	3.83723	+	1.02818i	0.800117	+	0.214391i	0.164482	+	0.986380i	$0.447405\pi$
$24$	4.78061	+	0.907015i	0.975838	+	0.185144i
$25$	1.34409	+	4.81596i	0.268818	+	0.963191i
$26$	−0.471934	−	5.07713i	−0.0925539	−	0.995708i
$27$	3.69855	+	3.69855i	0.711786	+	0.711786i
$28$	−3.48168	+	1.12040i	−0.657976	+	0.211735i
$29$	0.834606	−	0.481860i	0.154982	−	0.0894791i	−0.420503	−	0.907291i	$-0.638146\pi$
$29$	0.834606	−	0.481860i	0.154982	−	0.0894791i	0.575486	+	0.817812i	$0.304813\pi$
$30$	3.43956	+	4.21492i	0.627975	+	0.769535i
$31$			10.9369i			1.96433i	0.188025	+	0.982164i	$0.439791\pi$
$31$			10.9369i			1.96433i	−0.188025	+	0.982164i	$0.560209\pi$
$32$	−5.61354	+	0.698719i	−0.992342	+	0.123517i
$33$	−4.27147	+	1.14454i	−0.743568	+	0.199238i
$34$	−0.887594	−	3.01209i	−0.152221	−	0.516570i
$35$	−3.78601	−	1.54528i	−0.639953	−	0.261199i
$36$	−0.0718682	−	0.0368749i	−0.0119780	−	0.00614582i
$37$	6.61235	+	1.77177i	1.08706	+	0.291278i	0.757486	−	0.652851i	$-0.226427\pi$
$37$	6.61235	+	1.77177i	1.08706	+	0.291278i	0.329577	+	0.944129i	$0.393094\pi$
$38$	4.39118	−	8.06036i	0.712343	−	1.30756i
$39$	1.19508	−	6.08660i	0.191366	−	0.974637i
$40$	−5.30747	−	3.43959i	−0.839184	−	0.543848i
$41$	−1.48862	−	2.57836i	−0.232483	−	0.402672i	0.726055	−	0.687636i	$-0.241352\pi$
$41$	−1.48862	−	2.57836i	−0.232483	−	0.402672i	−0.958538	+	0.284964i	$0.908018\pi$
$42$	−4.44790	+	0.110182i	−0.686326	+	0.0170015i
$43$	−2.49101	−	9.29656i	−0.379875	−	1.41771i	−0.846090	−	0.533040i	$-0.821049\pi$
$43$	−2.49101	−	9.29656i	−0.379875	−	1.41771i	0.466215	−	0.884671i	$-0.345617\pi$
$44$	4.31949	−	2.78778i	0.651188	−	0.420274i
$45$	−0.0349923	−	0.0832558i	−0.00521635	−	0.0124110i
$46$	−5.46100	−	1.31924i	−0.805181	−	0.194511i
$47$	−0.216969	−	0.216969i	−0.0316482	−	0.0316482i	0.691106	−	0.722754i	$-0.257124\pi$
$47$	−0.216969	−	0.216969i	−0.0316482	−	0.0316482i	−0.722754	+	0.691106i	$0.757124\pi$
$48$	−6.79049	−	1.11489i	−0.980123	−	0.160921i
$49$	−3.16589	+	1.82782i	−0.452269	+	0.261118i
$50$	−2.06891	−	6.76163i	−0.292588	−	0.956239i
$51$		−	3.81990i		−	0.534893i
$52$	0.845021	+	7.16142i	0.117183	+	0.993110i
$53$	−6.81041	−	6.81041i	−0.935482	−	0.935482i	0.0625590	−	0.998041i	$-0.480074\pi$
$53$	−6.81041	−	6.81041i	−0.935482	−	0.935482i	−0.998041	+	0.0625590i	$0.980074\pi$
$54$	−5.35846	−	5.09940i	−0.729195	−	0.693941i
$55$	5.70244	+	0.720692i	0.768916	+	0.0971781i
$56$	4.88309	−	1.70593i	0.652531	−	0.227964i
$57$	7.89545	−	7.89545i	1.04578	−	1.04578i
$58$	−1.16307	+	0.710473i	−0.152719	+	0.0932897i
$59$	−0.207279	+	0.359019i	−0.0269855	+	0.0467402i	−0.879203	−	0.476448i	$-0.841924\pi$
$59$	−0.207279	+	0.359019i	−0.0269855	+	0.0467402i	0.852217	+	0.523188i	$0.175257\pi$
$60$	−5.01040	−	5.83851i	−0.646840	−	0.753748i
$61$	0.169884	−	0.294247i	0.0217514	−	0.0376745i	−0.854945	−	0.518719i	$-0.826409\pi$
$61$	0.169884	−	0.294247i	0.0217514	−	0.0376745i	0.876696	+	0.481044i	$0.159742\pi$
$62$	−0.383031	−	15.4624i	−0.0486450	−	1.96373i
$63$	0.0713433	+	0.0191164i	0.00898841	+	0.00240844i
$64$	7.91183	−	1.18443i	0.988979	−	0.148054i
$65$	−4.42772	+	6.73760i	−0.549191	+	0.835697i
$66$	5.99884	−	1.76772i	0.738406	−	0.217591i
$67$	−0.923966	+	3.44829i	−0.112880	+	0.421276i	−0.999120	−	0.0419524i	$-0.986642\pi$
$67$	−0.923966	+	3.44829i	−0.112880	+	0.421276i	0.886239	+	0.463228i	$0.153309\pi$
$68$	1.36035	+	4.22735i	0.164967	+	0.512641i
$69$	−5.91864	−	3.41713i	−0.712520	−	0.411374i
$70$	5.40670	+	2.05209i	0.646225	+	0.245271i
$71$	10.5218	+	6.07474i	1.24870	+	0.720939i	0.970851	−	0.239684i	$-0.0770439\pi$
$71$	10.5218	+	6.07474i	1.24870	+	0.720939i	0.277853	+	0.960624i	$0.410377\pi$
$72$	0.102897	+	0.0496160i	0.0121266	+	0.00584731i
$73$	−2.58855	−	2.58855i	−0.302967	−	0.302967i	0.539206	−	0.842174i	$-0.318724\pi$
$73$	−2.58855	−	2.58855i	−0.302967	−	0.302967i	−0.842174	+	0.539206i	$0.818724\pi$
$74$	−9.41046	−	2.27332i	−1.09394	−	0.264268i
$75$	−0.0891646	−	8.60130i	−0.0102958	−	0.993192i
$76$	−5.92587	+	11.5494i	−0.679744	+	1.32480i
$77$	−3.32397	+	3.32397i	−0.378802	+	0.378802i
$78$	−1.47642	+	8.64697i	−0.167171	+	0.979077i
$79$	−2.07727			−0.233711			−0.116855	−	0.993149i	$-0.537281\pi$
$79$	−2.07727			−0.233711			−0.116855	+	0.993149i	$0.537281\pi$
$80$	7.62405	+	4.67695i	0.852395	+	0.522899i
$81$	−4.43860	−	7.68788i	−0.493178	−	0.854209i
$82$	2.19488	+	3.59310i	0.242383	+	0.396791i
$83$	8.13440	−	8.13440i	0.892867	−	0.892867i	−0.101925	−	0.994792i	$-0.532500\pi$
$83$	8.13440	−	8.13440i	0.892867	−	0.892867i	0.994792	+	0.101925i	$0.0325003\pi$
$84$	6.28449	−	0.311547i	0.685694	−	0.0339926i
$85$	−1.87623	+	4.59686i	−0.203505	+	0.498599i
$86$	3.84732	+	13.0560i	0.414867	+	1.40787i
$87$	−1.60144	+	0.429106i	−0.171693	+	0.0460050i
$88$	−6.00918	+	4.09259i	−0.640580	+	0.436271i
$89$	−3.65328	+	2.10922i	−0.387247	+	0.223577i	−0.680967	−	0.732315i	$-0.738440\pi$
$89$	−3.65328	+	2.10922i	−0.387247	+	0.223577i	0.293720	+	0.955892i	$0.405107\pi$
$90$	0.0523872	+	0.116480i	0.00552210	+	0.0122781i
$91$	−2.13488	−	6.23850i	−0.223797	−	0.653972i
$92$	7.76686	+	1.67386i	0.809751	+	0.174512i
$93$	4.86977	−	18.1742i	0.504972	−	1.88458i
$94$	0.314345	+	0.299148i	0.0324222	+	0.0308547i
$95$	−13.3794	+	5.62334i	−1.37269	+	0.576942i
$96$	9.63931	+	1.33840i	0.983808	+	0.136600i
$97$	2.70741	+	10.1042i	0.274896	+	1.02592i	0.955911	+	0.293655i	$0.0948718\pi$
$97$	2.70741	+	10.1042i	0.274896	+	1.02592i	−0.681016	+	0.732269i	$0.738462\pi$
$98$	4.41185	−	2.69502i	0.445664	−	0.272238i
$99$	−0.103817			−0.0104340
$100$	3.16179	+	9.48700i	0.316179	+	0.948700i
$101$	−6.31886	−	10.9446i	−0.628750	−	1.08903i	−0.987803	−	0.155710i	$-0.950233\pi$
$101$	−6.31886	−	10.9446i	−0.628750	−	1.08903i	0.359052	−	0.933317i	$-0.383100\pi$
$102$	0.133780	+	5.40050i	0.0132462	+	0.534729i
$103$	−4.72521	+	4.72521i	−0.465589	+	0.465589i	−0.900482	−	0.434893i	$-0.856786\pi$
$103$	−4.72521	+	4.72521i	−0.465589	+	0.465589i	0.434893	+	0.900482i	$0.356786\pi$
$104$	−1.44548	−	10.0951i	−0.141741	−	0.989904i
$105$	5.60329	+	4.25359i	0.546825	+	0.415108i
$106$	9.86694	+	9.38991i	0.958362	+	0.912029i
$107$	1.49656	−	5.58525i	0.144678	−	0.539946i	−0.855091	−	0.518477i	$-0.826499\pi$
$107$	1.49656	−	5.58525i	0.144678	−	0.539946i	0.999770	−	0.0214689i	$-0.00683430\pi$
$108$	7.75428	+	7.02177i	0.746156	+	0.675670i
$109$		−	16.9009i		−	1.61881i	−0.587249	−	0.809406i	$-0.699789\pi$
$109$		−	16.9009i		−	1.61881i	0.587249	−	0.809406i	$-0.300211\pi$
$110$	−8.08723	−	0.819190i	−0.771087	−	0.0781067i
$111$	−10.1991	−	5.88843i	−0.968051	−	0.558905i
$112$	−6.84387	+	2.58282i	−0.646685	+	0.244054i
$113$	5.08188	−	1.36169i	0.478063	−	0.128097i	−0.0117376	−	0.999931i	$-0.503736\pi$
$113$	5.08188	−	1.36169i	0.478063	−	0.128097i	0.489801	+	0.871835i	$0.337070\pi$
$114$	−10.8859	+	11.4389i	−1.01956	+	1.07136i
$115$	5.44407	+	7.01922i	0.507662	+	0.654546i
$116$	1.61945	−	1.04519i	0.150362	−	0.0970431i
$117$	0.0640839	−	0.130762i	0.00592456	−	0.0120890i
$118$	0.280474	−	0.514832i	0.0258197	−	0.0473942i
$119$	−2.03030	−	3.51659i	−0.186118	−	0.322365i
$120$	7.28807	+	8.07889i	0.665307	+	0.737498i
$121$	−2.19628	+	3.80407i	−0.199662	+	0.345825i
$122$	−0.229873	+	0.421951i	−0.0208117	+	0.0382016i
$123$	1.32564	+	4.94737i	0.119529	+	0.446089i
$124$	1.08304	+	21.8470i	0.0972601	+	1.96192i
$125$	−4.11741	+	10.3946i	−0.368272	+	0.929718i
$126$	−0.101533	−	0.0245278i	−0.00904529	−	0.00218511i
$127$	−0.00794363	+	0.0296460i	−0.000704883	+	0.00263066i	−0.966277	−	0.257503i	$-0.917100\pi$
$127$	−0.00794363	+	0.0296460i	−0.000704883	+	0.00263066i	0.965572	+	0.260134i	$0.0837668\pi$
$128$	−11.1441	+	1.95161i	−0.985010	+	0.172500i
$129$			16.5575i			1.45781i
$130$	6.02386	−	9.68056i	0.528327	−	0.849041i
$131$			0.0440669i			0.00385015i	0.999998	+	0.00192507i	$0.000612770\pi$
$131$			0.0440669i			0.00385015i	−0.999998	+	0.00192507i	$0.999387\pi$
$132$	−8.41913	+	2.70926i	−0.732791	+	0.235810i
$133$	3.07204	−	11.4650i	0.266380	−	0.994142i
$134$	1.18552	−	4.90748i	0.102413	−	0.423942i
$135$	1.58669	+	11.5877i	0.136561	+	0.997311i
$136$	−2.07129	−	5.92890i	−0.177611	−	0.508399i
$137$	−1.19226	−	4.44956i	−0.101861	−	0.380151i	0.896109	−	0.443834i	$-0.146382\pi$
$137$	−1.19226	−	4.44956i	−0.101861	−	0.380151i	−0.997970	+	0.0636828i	$0.979715\pi$
$138$	8.48733	+	4.62378i	0.722489	+	0.393603i
$139$	4.73989	−	8.20973i	0.402032	−	0.696340i	−0.591939	−	0.805983i	$-0.701637\pi$
$139$	4.73989	−	8.20973i	0.402032	−	0.696340i	0.993971	+	0.109643i	$0.0349706\pi$
$140$	−7.71576	−	2.71185i	−0.652100	−	0.229193i
$141$	0.263937	+	0.457152i	0.0222275	+	0.0384991i
$142$	−15.0882	−	8.21986i	−1.26617	−	0.689795i
$143$	5.16807	+	7.69336i	0.432176	+	0.643351i
$144$	−0.147212	−	0.0665425i	−0.0122676	−	0.00554521i
$145$	2.13794	+	0.270199i	0.177546	+	0.0224388i
$146$	3.75030	+	3.56899i	0.310377	+	0.295372i
$147$	6.07471	−	1.62771i	0.501034	−	0.134252i
$148$	13.3839	+	2.88440i	1.10015	+	0.237097i
$149$	20.6561	+	11.9258i	1.69221	+	0.976999i	0.952728	+	0.303823i	$0.0982632\pi$
$149$	20.6561	+	11.9258i	1.69221	+	0.976999i	0.739483	+	0.673175i	$0.235070\pi$
$150$	0.427292	+	12.1572i	0.0348883	+	0.992633i
$151$		−	13.3630i		−	1.08746i	−0.839259	−	0.543732i	$-0.817011\pi$
$151$		−	13.3630i		−	1.08746i	0.839259	−	0.543732i	$-0.182989\pi$
$152$	7.97340	−	16.5358i	0.646728	−	1.34123i
$153$	0.0232105	−	0.0866228i	0.00187646	−	0.00700304i
$154$	4.58295	−	4.81578i	0.369305	−	0.388066i
$155$	−14.7869	+	19.4789i	−1.18771	+	1.56458i
$156$	1.78449	−	12.2766i	0.142874	−	0.982916i
$157$	10.8089	−	10.8089i	0.862642	−	0.862642i	−0.129003	−	0.991644i	$-0.541178\pi$
$157$	10.8089	−	10.8089i	0.862642	−	0.862642i	0.991644	+	0.129003i	$0.0411775\pi$
$158$	2.93680	−	0.0727496i	0.233639	−	0.00578765i
$159$	8.28468	+	14.3495i	0.657018	+	1.13799i
$160$	−10.9425	−	6.34517i	−0.865082	−	0.501630i
$161$	−7.26490			−0.572554
$162$	6.54445	+	10.7135i	0.514181	+	0.841734i
$163$	2.72349	+	10.1642i	0.213320	+	0.796121i	0.986751	+	0.162241i	$0.0518722\pi$
$163$	2.72349	+	10.1642i	0.213320	+	0.796121i	−0.773431	+	0.633880i	$0.781461\pi$
$164$	−3.22891	−	5.00298i	−0.252135	−	0.390667i
$165$	−9.15503	−	3.73666i	−0.712718	−	0.290899i
$166$	−11.2154	+	11.7851i	−0.870482	+	0.914704i
$167$	0.846610	−	3.15959i	0.0655126	−	0.244496i	−0.925402	−	0.378986i	$-0.876273\pi$
$167$	0.846610	−	3.15959i	0.0655126	−	0.244496i	0.990915	+	0.134490i	$0.0429395\pi$
$168$	−8.87398	+	0.660554i	−0.684642	+	0.0509628i
$169$	−12.8802	+	1.76049i	−0.990788	+	0.135422i
$170$	2.49158	−	6.56465i	0.191095	−	0.503486i
$171$	0.227017	−	0.131068i	0.0173604	−	0.0100231i
$172$	−5.89650	−	18.3236i	−0.449604	−	1.39716i
$173$	2.41328	−	0.646637i	0.183478	−	0.0491629i	−0.165910	−	0.986141i	$-0.553056\pi$
$173$	2.41328	−	0.646637i	0.183478	−	0.0491629i	0.349388	+	0.936978i	$0.386389\pi$
$174$	2.24906	−	0.662747i	0.170501	−	0.0502427i
$175$	−4.65373	−	7.87093i	−0.351789	−	0.594986i
$176$	8.35232	−	5.99647i	0.629580	−	0.452001i
$177$	0.504300	−	0.504300i	0.0379055	−	0.0379055i
$178$	5.09106	−	3.10992i	0.381591	−	0.233098i
$179$	−1.92503	−	3.33425i	−0.143884	−	0.249214i	0.785072	−	0.619404i	$-0.212626\pi$
$179$	−1.92503	−	3.33425i	−0.143884	−	0.249214i	−0.928956	+	0.370190i	$0.879292\pi$
$180$	−0.0781433	−	0.162842i	−0.00582446	−	0.0121375i
$181$	−4.63900			−0.344814			−0.172407	−	0.985026i	$-0.555154\pi$
$181$	−4.63900			−0.344814			−0.172407	+	0.985026i	$0.555154\pi$
$182$	3.23674	+	8.74509i	0.239923	+	0.648229i
$183$	−0.413318	+	0.413318i	−0.0305534	+	0.0305534i
$184$	−11.0393	−	2.09445i	−0.813824	−	0.154405i
$185$	9.38128	+	12.0956i	0.689725	+	0.889286i
$186$	−6.24829	+	25.8649i	−0.458147	+	1.89651i
$187$	4.03586	+	4.03586i	0.295132	+	0.295132i
$188$	−0.454891	−	0.411920i	−0.0331764	−	0.0300424i
$189$	−8.28386	−	4.78269i	−0.602562	−	0.347890i
$190$	18.7186	−	8.41873i	1.35799	−	0.610759i
$191$	6.40092	+	3.69557i	0.463154	+	0.267402i	0.713370	−	0.700788i	$-0.247168\pi$
$191$	6.40092	+	3.69557i	0.463154	+	0.267402i	−0.250215	+	0.968190i	$0.580501\pi$
$192$	−13.6747	−	1.55461i	−0.986889	−	0.112195i
$193$	−5.24503	+	19.5747i	−0.377545	+	1.40902i	0.472044	+	0.881575i	$0.343516\pi$
$193$	−5.24503	+	19.5747i	−0.377545	+	1.40902i	−0.849590	+	0.527444i	$0.823150\pi$
$194$	−4.18154	−	14.1903i	−0.300217	−	1.01880i
$195$	10.3577	−	9.22461i	0.741728	−	0.660588i
$196$	−6.14300	+	3.96467i	−0.438786	+	0.283191i
$197$	7.39076	+	1.98035i	0.526570	+	0.141094i	0.512304	−	0.858804i	$-0.328792\pi$
$197$	7.39076	+	1.98035i	0.526570	+	0.141094i	0.0142660	+	0.999898i	$0.495459\pi$
$198$	0.146775	−	0.00363587i	0.0104308	−	0.000258390i
$199$	10.0063	−	17.3314i	0.709329	−	1.22859i	−0.255778	−	0.966736i	$-0.582331\pi$
$199$	10.0063	−	17.3314i	0.709329	−	1.22859i	0.965106	−	0.261858i	$-0.0843352\pi$
$200$	−4.80232	−	13.3018i	−0.339575	−	0.940579i
$201$	3.07077	−	5.31873i	0.216595	−	0.375154i
$202$	9.31678	+	15.2519i	0.655526	+	1.07312i
$203$	−1.24621	+	1.24621i	−0.0874669	+	0.0874669i
$204$	−0.378271	−	7.63044i	−0.0264843	−	0.534237i
$205$	0.834730	−	6.60476i	0.0583001	−	0.461296i
$206$	6.51492	−	6.84589i	0.453916	−	0.476976i
$207$	−0.113452	−	0.113452i	−0.00788546	−	0.00788546i
$208$	2.39714	+	14.2216i	0.166212	+	0.986090i
$209$			16.6837i			1.15403i
$210$	−8.07078	−	5.81741i	−0.556937	−	0.401439i
$211$	−8.58795	+	4.95825i	−0.591219	+	0.341340i	−0.765579	−	0.643342i	$-0.777548\pi$
$211$	−8.58795	+	4.95825i	−0.591219	+	0.341340i	0.174361	+	0.984682i	$0.444214\pi$
$212$	−14.2785	−	12.9297i	−0.980654	−	0.888016i
$213$	−14.7795	−	14.7795i	−1.01268	−	1.01268i
$214$	−1.92020	+	7.94872i	−0.131262	+	0.543364i
$215$	8.13258	−	19.9253i	0.554638	−	1.35889i
$216$	−11.2088	−	9.65567i	−0.762659	−	0.656985i
$217$	−5.17663	−	19.3194i	−0.351413	−	1.31149i
$218$	0.591900	+	23.8941i	0.0400885	+	1.61832i
$219$	3.14891	+	5.45406i	0.212783	+	0.368552i
$220$	11.4623	+	0.874925i	0.772785	+	0.0589874i
$221$	−7.57459	+	2.59211i	−0.509522	+	0.174364i
$222$	14.6254	+	7.96775i	0.981595	+	0.534760i
$223$	10.4169	+	2.79120i	0.697568	+	0.186913i	0.590141	−	0.807300i	$-0.299072\pi$
$223$	10.4169	+	2.79120i	0.697568	+	0.186913i	0.107427	+	0.994213i	$0.465739\pi$
$224$	9.58528	−	3.89123i	0.640443	−	0.259994i
$225$	0.0502413	−	0.195591i	0.00334942	−	0.0130394i
$226$	−7.13697	+	2.10310i	−0.474744	+	0.139896i
$227$	−25.8366	+	6.92289i	−1.71483	+	0.459488i	−0.976601	−	0.215058i	$-0.931006\pi$
$227$	−25.8366	+	6.92289i	−1.71483	+	0.459488i	−0.738233	+	0.674546i	$0.764339\pi$
$228$	14.9897	−	16.5534i	0.992716	−	1.09628i
$229$		−	15.3130i		−	1.01191i	−0.862560	−	0.505955i	$-0.831140\pi$
$229$		−	15.3130i		−	1.01191i	0.862560	−	0.505955i	$-0.168860\pi$
$230$	−7.94254	−	9.73297i	−0.523716	−	0.641773i
$231$	7.00358	−	4.04352i	0.460802	−	0.266044i
$232$	−2.25294	+	1.53438i	−0.147913	+	0.100737i
$233$	15.8979	+	15.8979i	1.04151	+	1.04151i	0.999101	+	0.0424050i	$0.0135020\pi$
$233$	15.8979	+	15.8979i	1.04151	+	1.04151i	0.0424050	+	0.999101i	$0.486498\pi$
$234$	−0.0860210	+	0.187114i	−0.00562337	+	0.0122320i
$235$	−0.0930806	−	0.679773i	−0.00607191	−	0.0443435i
$236$	−0.378498	+	0.737682i	−0.0246381	+	0.0480190i
$237$	3.45186	+	0.924923i	0.224222	+	0.0600802i
$238$	2.99356	+	4.90058i	0.194044	+	0.317657i
$239$	1.88995			0.122251			0.0611255	−	0.998130i	$-0.480531\pi$
$239$	1.88995			0.122251			0.0611255	+	0.998130i	$0.480531\pi$
$240$	−10.5867	−	11.1665i	−0.683367	−	0.720796i
$241$	−8.69336	+	15.0573i	−0.559989	+	0.969929i	0.437508	+	0.899215i	$0.355861\pi$
$241$	−8.69336	+	15.0573i	−0.559989	+	0.969929i	−0.997497	+	0.0707143i	$0.977472\pi$
$242$	2.97183	−	5.45504i	0.191037	−	0.350663i
$243$	−0.108625	−	0.405396i	−0.00696833	−	0.0260062i
$244$	0.310213	−	0.604596i	0.0198593	−	0.0387053i
$245$	−8.10977	−	1.02494i	−0.518114	−	0.0654809i
$246$	−2.04743	−	6.94806i	−0.130540	−	0.442992i
$247$	−21.0138	−	10.2984i	−1.33708	−	0.655272i
$248$	−2.29631	−	30.8489i	−0.145816	−	1.95891i
$249$	−17.1391	+	9.89528i	−1.08615	+	0.627088i
$250$	5.45707	−	14.8398i	0.345136	−	0.938553i
$251$	−11.6497	−	6.72598i	−0.735325	−	0.424540i	0.0850421	−	0.996377i	$-0.472898\pi$
$251$	−11.6497	−	6.72598i	−0.735325	−	0.424540i	−0.820367	+	0.571837i	$0.806231\pi$
$252$	0.144405	+	0.0311210i	0.00909663	+	0.00196044i
$253$	9.86357	−	2.64294i	0.620117	−	0.166160i
$254$	0.0101923	−	0.0421911i	0.000639521	−	0.00264731i
$255$	5.16458	−	6.80334i	0.323419	−	0.426041i
$256$	15.6870	−	3.14944i	0.980436	−	0.196840i
$257$	11.1728	+	2.99375i	0.696943	+	0.186745i	0.589861	−	0.807505i	$-0.299183\pi$
$257$	11.1728	+	2.99375i	0.696943	+	0.186745i	0.107082	+	0.994250i	$0.465849\pi$
$258$	−0.579875	−	23.4087i	−0.0361015	−	1.45736i
$259$	−12.5189			−0.777890
$260$	−8.17737	+	13.8971i	−0.507139	+	0.861864i
$261$	−0.0389228			−0.00240926
$262$	−0.00154330	−	0.0623009i	−9.53456e−5	−	0.00384896i
$263$	−27.4021	−	7.34236i	−1.68968	−	0.452750i	−0.719376	−	0.694621i	$-0.755572\pi$
$263$	−27.4021	−	7.34236i	−1.68968	−	0.452750i	−0.970308	+	0.241871i	$0.922239\pi$
$264$	11.8079	−	4.12514i	0.726727	−	0.253885i
$265$	−2.92170	−	21.3373i	−0.179478	−	1.31074i
$266$	−3.94166	+	16.3166i	−0.241679	+	1.00043i
$267$	7.00992	−	1.87830i	0.429000	−	0.114950i
$268$	−1.50419	+	6.97962i	−0.0918833	+	0.426348i
$269$	18.6180	+	10.7491i	1.13516	+	0.655385i	0.945227	−	0.326412i	$-0.105840\pi$
$269$	18.6180	+	10.7491i	1.13516	+	0.655385i	0.189932	+	0.981797i	$0.439173\pi$
$270$	−2.64906	−	16.3269i	−0.161217	−	0.993624i
$271$	−7.91576	+	4.57016i	−0.480848	+	0.277618i	−0.720770	−	0.693175i	$-0.756212\pi$
$271$	−7.91576	+	4.57016i	−0.480848	+	0.277618i	0.239922	+	0.970792i	$0.422878\pi$
$272$	3.13598	+	8.30962i	0.190147	+	0.503845i
$273$	0.769852	+	11.3173i	0.0465936	+	0.684954i
$274$	1.84142	+	6.24894i	0.111244	+	0.377512i
$275$	9.18178	+	8.99337i	0.553682	+	0.542321i
$276$	−12.1611	−	6.23977i	−0.732015	−	0.375590i
$277$	−3.27149	−	12.2094i	−0.196565	−	0.733590i	−0.991856	−	0.127363i	$-0.959349\pi$
$277$	−3.27149	−	12.2094i	−0.196565	−	0.733590i	0.795291	−	0.606227i	$-0.207318\pi$
$278$	−6.41364	+	11.7728i	−0.384665	+	0.706083i
$279$	0.220861	−	0.382542i	0.0132226	−	0.0229022i
$280$	11.0034	+	3.56373i	0.657576	+	0.212974i
$281$	17.8951			1.06753			0.533767	−	0.845632i	$-0.320776\pi$
$281$	17.8951			1.06753			0.533767	+	0.845632i	$0.320776\pi$
$282$	−0.389159	−	0.637069i	−0.0231741	−	0.0379369i
$283$	−0.165300	−	0.0442921i	−0.00982608	−	0.00263289i	0.253903	−	0.967230i	$-0.418286\pi$
$283$	−0.165300	−	0.0442921i	−0.00982608	−	0.00263289i	−0.263729	+	0.964597i	$0.584952\pi$
$284$	21.6193	+	11.0927i	1.28287	+	0.658228i
$285$	24.7368	−	3.38718i	1.46528	−	0.200639i
$286$	−7.57595	−	10.6957i	−0.447975	−	0.632451i
$287$	3.84994	+	3.84994i	0.227255	+	0.227255i
$288$	0.210455	+	0.0889208i	0.0124012	+	0.00523971i
$289$	10.4527	−	6.03487i	0.614865	−	0.354992i
$290$	−3.03203	−	0.307128i	−0.178047	−	0.0180352i
$291$		−	17.9959i		−	1.05494i
$292$	−5.42709	−	4.91442i	−0.317597	−	0.287595i
$293$	−25.4941	+	6.83112i	−1.48938	+	0.399078i	−0.909528	−	0.415643i	$-0.863556\pi$
$293$	−25.4941	+	6.83112i	−1.48938	+	0.399078i	−0.579852	+	0.814722i	$0.696890\pi$
$294$	−8.53130	+	2.51398i	−0.497556	+	0.146618i
$295$	−0.854569	+	0.359175i	−0.0497550	+	0.0209120i
$296$	−19.0229	−	3.60918i	−1.10569	−	0.209779i
$297$	12.9869	+	3.47984i	0.753578	+	0.201921i
$298$	−29.6208	−	16.1370i	−1.71589	−	0.934793i
$299$	−2.75965	+	14.0550i	−0.159594	+	0.812823i
$300$	−1.02987	−	17.1727i	−0.0594593	−	0.991465i
$301$	8.80044	+	15.2428i	0.507249	+	0.878581i
$302$	0.467996	+	18.8923i	0.0269301	+	1.08713i
$303$	5.62707	+	21.0005i	0.323267	+	1.20645i
$304$	−10.6935	+	23.6572i	−0.613315	+	1.35683i
$305$	0.700395	−	0.294375i	0.0401045	−	0.0168559i
$306$	−0.0297809	+	0.123278i	−0.00170246	+	0.00704736i
$307$	22.1822	+	22.1822i	1.26600	+	1.26600i	0.948135	+	0.317867i	$0.102967\pi$
$307$	22.1822	+	22.1822i	1.26600	+	1.26600i	0.317867	+	0.948135i	$0.397033\pi$
$308$	−6.31063	+	6.96895i	−0.359581	+	0.397093i
$309$	9.95598	−	5.74809i	0.566376	−	0.326997i
$310$	20.2233	−	28.0568i	1.14860	−	1.59352i
$311$		−	12.3387i		−	0.699661i	−0.936813	−	0.349831i	$-0.886239\pi$
$311$		−	12.3387i		−	0.699661i	0.936813	−	0.349831i	$-0.113761\pi$
$312$	−2.09293	+	17.4189i	−0.118489	+	0.986153i
$313$	17.6225	+	17.6225i	0.996082	+	0.996082i	0.999992	−	0.00391049i	$-0.00124475\pi$
$313$	17.6225	+	17.6225i	0.996082	+	0.996082i	−0.00391049	+	0.999992i	$0.501245\pi$
$314$	−14.9028	+	15.6599i	−0.841015	+	0.883740i
$315$	0.101218	+	0.130504i	0.00570301	+	0.00735308i
$316$	−4.14943	+	0.205704i	−0.233424	+	0.0115717i
$317$	−9.09687	+	9.09687i	−0.510931	+	0.510931i	−0.914812	−	0.403881i	$-0.867661\pi$
$317$	−9.09687	+	9.09687i	−0.510931	+	0.510931i	0.403881	+	0.914812i	$0.367661\pi$
$318$	−12.2153	−	19.9969i	−0.684998	−	1.12137i
$319$	1.23862	−	2.14535i	0.0693493	−	0.120116i
$320$	15.6925	+	8.58745i	0.877239	+	0.480053i
$321$	−4.97377	+	8.61483i	−0.277609	+	0.480833i
$322$	10.2710	−	0.254430i	0.572379	−	0.0141788i
$323$	−13.9205	−	3.72997i	−0.774555	−	0.207541i
$324$	−9.62762	−	14.9174i	−0.534868	−	0.828743i
$325$	−16.9952	+	6.01347i	−0.942726	+	0.333567i
$326$	−4.20638	−	14.2746i	−0.232970	−	0.790594i
$327$	−7.52529	+	28.0848i	−0.416150	+	1.55309i
$328$	4.74018	+	6.96003i	0.261733	+	0.384304i
$329$	0.485958	+	0.280568i	0.0267918	+	0.0154682i
$330$	13.0741	+	4.96219i	0.719703	+	0.273160i
$331$	17.0150	+	9.82362i	0.935229	+	0.539955i	0.888462	−	0.458951i	$-0.151775\pi$
$331$	17.0150	+	9.82362i	0.935229	+	0.539955i	0.0467677	+	0.998906i	$0.485108\pi$
$332$	15.4433	−	17.0544i	0.847563	−	0.935980i
$333$	−0.195502	−	0.195502i	−0.0107134	−	0.0107134i
$334$	−1.08626	+	4.49661i	−0.0594378	+	0.246044i
$335$	−6.30776	+	4.89226i	−0.344630	+	0.267293i
$336$	12.5227	−	1.24466i	0.683170	−	0.0679018i
$337$	−13.7782	+	13.7782i	−0.750549	+	0.750549i	−0.974582	−	0.224033i	$-0.928078\pi$
$337$	−13.7782	+	13.7782i	−0.750549	+	0.750549i	0.224033	+	0.974582i	$0.428078\pi$
$338$	18.1482	−	2.94003i	0.987131	−	0.159917i
$339$	−9.05103			−0.491584
$340$	−3.29264	+	9.36823i	−0.178568	+	0.508064i
$341$	14.0566	+	24.3468i	0.761210	+	1.31845i
$342$	−0.316362	+	0.193252i	−0.0171069	+	0.0104499i
$343$	13.7791	−	13.7791i	0.744001	−	0.744001i
$344$	8.97808	+	25.6991i	0.484066	+	1.38560i
$345$	−5.92121	−	14.0881i	−0.318787	−	0.758478i
$346$	−3.38920	+	0.998719i	−0.182205	+	0.0536915i
$347$	19.4941	−	5.22343i	1.04650	−	0.280408i	0.305695	−	0.952130i	$-0.401111\pi$
$347$	19.4941	−	5.22343i	1.04650	−	0.280408i	0.740804	+	0.671721i	$0.234445\pi$
$348$	−3.15647	+	1.01574i	−0.169204	+	0.0544496i
$349$	−3.00313	+	1.73386i	−0.160754	+	0.0928114i	−0.578219	−	0.815882i	$-0.696252\pi$
$349$	−3.00313	+	1.73386i	−0.160754	+	0.0928114i	0.417465	+	0.908693i	$0.362919\pi$
$350$	6.85500	+	10.9648i	0.366415	+	0.586092i
$351$	−12.3995	+	14.2096i	−0.661838	+	0.758452i
$352$	−11.5983	+	8.77021i	−0.618193	+	0.467454i
$353$	−0.0380543	+	0.142021i	−0.00202543	+	0.00755899i	−0.966931	−	0.255038i	$-0.917912\pi$
$353$	−0.0380543	+	0.142021i	−0.00202543	+	0.00755899i	0.964906	+	0.262597i	$0.0845788\pi$
$354$	−0.695307	+	0.730630i	−0.0369552	+	0.0388326i
$355$	10.5263	+	25.0449i	0.558680	+	1.32924i
$356$	−7.08873	+	4.57504i	−0.375702	+	0.242477i
$357$	1.80802	+	6.74764i	0.0956908	+	0.357123i
$358$	2.83834	+	4.64648i	0.150011	+	0.245574i
$359$	−18.8203			−0.993295			−0.496648	−	0.867952i	$-0.665436\pi$
$359$	−18.8203			−0.993295			−0.496648	+	0.867952i	$0.665436\pi$
$360$	0.116180	+	0.227486i	0.00612325	+	0.0119896i
$361$	−11.5630	−	20.0276i	−0.608577	−	1.05409i
$362$	6.55853	−	0.162466i	0.344709	−	0.00853904i
$363$	5.34344	−	5.34344i	0.280458	−	0.280458i
$364$	−4.88230	−	12.2503i	−0.255902	−	0.642089i
$365$	−1.11050	−	8.11005i	−0.0581263	−	0.424499i
$366$	0.569866	−	0.598816i	0.0297874	−	0.0313006i
$367$	7.40079	−	27.6201i	0.386318	−	1.44176i	−0.449761	−	0.893149i	$-0.648491\pi$
$367$	7.40079	−	27.6201i	0.386318	−	1.44176i	0.836079	−	0.548609i	$-0.184842\pi$
$368$	15.6804	+	2.57448i	0.817399	+	0.134204i
$369$			0.120245i			0.00625969i
$370$	−13.6867	−	16.7720i	−0.711536	−	0.871932i
$371$	15.2537	+	8.80672i	0.791932	+	0.457222i
$372$	7.92787	−	36.7861i	0.411041	−	1.90727i
$373$	22.9838	−	6.15848i	1.19005	−	0.318874i	0.391147	−	0.920328i	$-0.372079\pi$
$373$	22.9838	−	6.15848i	1.19005	−	0.318874i	0.798907	+	0.601455i	$0.205412\pi$
$374$	−5.84716	−	5.56448i	−0.302350	−	0.287732i
$375$	11.4703	−	15.4397i	0.592325	−	0.797301i
$376$	0.657542	+	0.566433i	0.0339102	+	0.0292116i
$377$	1.93759	+	2.88436i	0.0997911	+	0.148552i
$378$	11.8791	+	6.47156i	0.610993	+	0.332861i
$379$	−16.0014	−	27.7153i	−0.821937	−	1.42364i	−0.904238	−	0.427030i	$-0.859560\pi$
$379$	−16.0014	−	27.7153i	−0.821937	−	1.42364i	0.0823002	−	0.996608i	$-0.473773\pi$
$380$	−26.1691	+	12.5578i	−1.34245	+	0.644201i
$381$	0.0264004	−	0.0457268i	0.00135253	−	0.00234265i
$382$	−9.17891	−	5.00055i	−0.469634	−	0.255851i
$383$	−6.04603	−	22.5641i	−0.308938	−	1.15297i	−0.929502	−	0.368816i	$-0.879763\pi$
$383$	−6.04603	−	22.5641i	−0.308938	−	1.15297i	0.620564	−	0.784156i	$-0.286904\pi$
$384$	19.3875	+	1.71897i	0.989365	+	0.0877207i
$385$	−10.4141	+	1.42600i	−0.530754	+	0.0726756i
$386$	6.72977	−	27.8580i	0.342537	−	1.41794i
$387$	−0.100607	+	0.375470i	−0.00511414	+	0.0190862i
$388$	6.40875	+	19.9155i	0.325355	+	1.01105i
$389$			16.5797i			0.840625i	0.907380	+	0.420312i	$0.138079\pi$
$389$			16.5797i			0.840625i	−0.907380	+	0.420312i	$0.861921\pi$
$390$	−14.3204	+	13.4043i	−0.725142	+	0.678754i
$391$			8.82082i			0.446088i
$392$	8.54600	−	5.82031i	0.431638	−	0.293970i
$393$	0.0196212	−	0.0732275i	0.000989760	−	0.00369384i
$394$	−10.5183	−	2.54094i	−0.529902	−	0.128011i
$395$	−3.69966	−	2.80850i	−0.186150	−	0.141311i
$396$	−0.207380	+	0.0102806i	−0.0104212	+	0.000516622i
$397$	−5.51234	−	20.5723i	−0.276657	−	1.03250i	−0.954723	−	0.297496i	$-0.903849\pi$
$397$	−5.51234	−	20.5723i	−0.276657	−	1.03250i	0.678067	−	0.735000i	$-0.262818\pi$
$398$	−13.5397	+	24.8533i	−0.678686	+	1.24578i
$399$	−10.2098	+	17.6839i	−0.511130	+	0.885303i
$400$	7.25528	+	18.6376i	0.362764	+	0.931881i
$401$	−16.5775	−	28.7131i	−0.827842	−	1.43386i	−0.899728	−	0.436452i	$-0.856235\pi$
$401$	−16.5775	−	28.7131i	−0.827842	−	1.43386i	0.0718855	−	0.997413i	$-0.477098\pi$
$402$	−4.15512	+	7.62706i	−0.207239	+	0.380403i
$403$	−39.3427	+	2.67627i	−1.95980	+	0.133314i
$404$	−13.7060	−	21.2366i	−0.681900	−	1.05656i
$405$	2.48891	−	19.6934i	0.123675	−	0.978572i
$406$	1.71822	−	1.80551i	0.0852740	−	0.0896061i
$407$	16.9970	−	4.55433i	0.842510	−	0.225750i
$408$	0.802023	+	10.7745i	0.0397061	+	0.533418i
$409$	13.0989	+	7.56266i	0.647700	+	0.373950i	0.787574	−	0.616220i	$-0.211337\pi$
$409$	13.0989	+	7.56266i	0.647700	+	0.373950i	−0.139875	+	0.990169i	$0.544670\pi$
$410$	−0.948814	+	9.36691i	−0.0468586	+	0.462599i
$411$			7.92484i			0.390903i
$412$	−8.97091	+	9.90675i	−0.441965	+	0.488071i
$413$	0.196218	−	0.732295i	0.00965525	−	0.0360339i
$414$	0.164369	+	0.156423i	0.00807832	+	0.00768776i
$415$	25.4854	−	3.48969i	1.25103	−	0.171302i
$416$	−3.88709	−	20.0223i	−0.190580	−	0.981672i
$417$	−11.5319	+	11.5319i	−0.564719	+	0.564719i
$418$	−0.584292	−	23.5870i	−0.0285787	−	1.15368i
$419$	16.4551	+	28.5011i	0.803884	+	1.39237i	0.917042	+	0.398792i	$0.130570\pi$
$419$	16.4551	+	28.5011i	0.803884	+	1.39237i	−0.113157	+	0.993577i	$0.536096\pi$
$420$	11.6140	+	7.94188i	0.566707	+	0.387524i
$421$	−1.99758			−0.0973563			−0.0486781	−	0.998815i	$-0.515501\pi$
$421$	−1.99758			−0.0973563			−0.0486781	+	0.998815i	$0.515501\pi$
$422$	11.9678	−	7.31064i	0.582584	−	0.355877i
$423$	0.00320747	+	0.0119704i	0.000155952	+	0.000582022i
$424$	20.6395	+	17.7797i	1.00234	+	0.863459i
$425$	−9.55664	+	5.65041i	−0.463565	+	0.274085i
$426$	21.4126	+	20.3774i	1.03744	+	0.987287i
$427$	−0.160818	+	0.600180i	−0.00778252	+	0.0290448i
$428$	2.43637	−	11.3050i	0.117766	−	0.546448i
$429$	−5.16240	−	15.0854i	−0.249243	−	0.728332i
$430$	−10.7999	+	28.4548i	−0.520816	+	1.37221i
$431$	18.9048	−	10.9147i	0.910611	−	0.525741i	0.0299830	−	0.999550i	$-0.490455\pi$
$431$	18.9048	−	10.9147i	0.910611	−	0.525741i	0.880628	+	0.473809i	$0.157121\pi$
$432$	16.1849	+	13.2584i	0.778695	+	0.637897i
$433$	19.7509	−	5.29223i	0.949167	−	0.254328i	0.249158	−	0.968463i	$-0.419846\pi$
$433$	19.7509	−	5.29223i	0.949167	−	0.254328i	0.700009	+	0.714134i	$0.253179\pi$
$434$	7.99522	+	27.1321i	0.383783	+	1.30238i
$435$	−3.43237	−	1.40094i	−0.164570	−	0.0671698i
$436$	−1.67363	−	33.7603i	−0.0801525	−	1.61683i
$437$	−18.2320	+	18.2320i	−0.872153	+	0.872153i
$438$	−4.64287	−	7.60057i	−0.221845	−	0.363169i
$439$	17.1957	+	29.7839i	0.820707	+	1.42151i	0.905156	+	0.425079i	$0.139754\pi$
$439$	17.1957	+	29.7839i	0.820707	+	1.42151i	−0.0844492	+	0.996428i	$0.526913\pi$
$440$	−16.2357	−	0.835523i	−0.774009	−	0.0398320i
$441$	0.147645			0.00703070
$442$	10.6180	−	3.92995i	0.505048	−	0.186928i
$443$	19.5697	−	19.5697i	0.929783	−	0.929783i	−0.0679082	−	0.997692i	$-0.521633\pi$
$443$	19.5697	−	19.5697i	0.929783	−	0.929783i	0.997692	+	0.0679082i	$0.0216325\pi$
$444$	−20.9562	−	10.7524i	−0.994537	−	0.510288i
$445$	−9.35828	−	1.18273i	−0.443625	−	0.0560668i
$446$	−14.8250	−	3.58133i	−0.701983	−	0.169581i
$447$	−29.0148	−	29.0148i	−1.37235	−	1.37235i
$448$	−13.4152	+	5.83704i	−0.633808	+	0.275774i
$449$	−13.6018	−	7.85302i	−0.641910	−	0.370607i	0.143440	−	0.989659i	$-0.454184\pi$
$449$	−13.6018	−	7.85302i	−0.641910	−	0.370607i	−0.785350	+	0.619052i	$0.787517\pi$
$450$	−0.0641801	+	0.278282i	−0.00302548	+	0.0131183i
$451$	−6.62766	−	3.82648i	−0.312084	−	0.180182i
$452$	10.0164	−	3.22327i	0.471134	−	0.151610i
$453$	−5.95000	+	22.2057i	−0.279555	+	1.04332i
$454$	36.2848	−	10.6923i	1.70293	−	0.501814i
$455$	4.63229	−	13.9973i	0.217165	−	0.656204i
$456$	−20.6124	+	23.9278i	−0.965263	+	1.12052i
$457$	−2.36277	−	0.633101i	−0.110526	−	0.0296152i	0.203132	−	0.979151i	$-0.434888\pi$
$457$	−2.36277	−	0.633101i	−0.110526	−	0.0296152i	−0.313658	+	0.949536i	$0.601554\pi$
$458$	0.536288	+	21.6492i	0.0250591	+	1.01160i
$459$	−5.80699	+	10.0580i	−0.271047	+	0.469468i
$460$	11.5699	+	13.4821i	0.539448	+	0.628607i
$461$	12.6364	−	21.8869i	0.588537	−	1.01938i	−0.405887	−	0.913923i	$-0.633037\pi$
$461$	12.6364	−	21.8869i	0.588537	−	1.01938i	0.994424	−	0.105453i	$-0.0336292\pi$
$462$	−9.75991	+	5.96193i	−0.454072	+	0.277374i
$463$	−10.5735	+	10.5735i	−0.491391	+	0.491391i	−0.908744	−	0.417353i	$-0.862958\pi$
$463$	−10.5735	+	10.5735i	−0.491391	+	0.491391i	0.417353	+	0.908744i	$0.362958\pi$
$464$	3.13142	−	2.24818i	0.145373	−	0.104369i
$465$	33.2451	−	25.7847i	1.54170	−	1.19574i
$466$	−23.0329	−	21.9193i	−1.06698	−	1.01539i
$467$	1.74022	+	1.74022i	0.0805280	+	0.0805280i	0.746223	−	0.665696i	$-0.231865\pi$
$467$	1.74022	+	1.74022i	0.0805280	+	0.0805280i	−0.665696	+	0.746223i	$0.731865\pi$
$468$	0.115062	−	0.267550i	0.00531873	−	0.0123675i
$469$		−	6.52853i		−	0.301460i
$470$	0.155402	+	0.957790i	0.00716818	+	0.0441795i
$471$	−22.7742	+	13.1487i	−1.04938	+	0.605860i
$472$	0.509278	−	1.05618i	0.0234414	−	0.0486145i
$473$	−17.4936	−	17.4936i	−0.804358	−	0.804358i
$474$	−4.91256	−	1.18675i	−0.225641	−	0.0545091i
$475$	−31.4318	−	8.07387i	−1.44219	−	0.370455i
$476$	−4.40386	−	6.82350i	−0.201851	−	0.312754i
$477$	0.100679	+	0.375738i	0.00460977	+	0.0172039i
$478$	−2.67198	+	0.0661896i	−0.122213	+	0.00302744i
$479$	−12.2972	−	21.2994i	−0.561874	−	0.973194i	−0.997333	−	0.0729856i	$-0.976747\pi$
$479$	−12.2972	−	21.2994i	−0.561874	−	0.973194i	0.435459	−	0.900208i	$-0.356586\pi$
$480$	15.3583	+	15.4162i	0.701007	+	0.703652i
$481$	−4.75545	+	24.2197i	−0.216830	+	1.10433i
$482$	11.7632	−	21.5922i	0.535797	−	0.983499i
$483$	12.0723	+	3.23477i	0.549310	+	0.147187i
$484$	−4.01047	+	7.81630i	−0.182294	+	0.355287i
$485$	−8.83909	+	21.6562i	−0.401362	+	0.983359i
$486$	0.167770	+	0.569336i	0.00761021	+	0.0258256i
$487$	5.77590	−	1.54765i	0.261731	−	0.0701306i	−0.125567	−	0.992085i	$-0.540075\pi$
$487$	5.77590	−	1.54765i	0.261731	−	0.0701306i	0.387298	+	0.921955i	$0.373408\pi$
$488$	−0.417398	+	0.865630i	−0.0188947	+	0.0391852i
$489$		−	18.1028i		−	0.818639i
$490$	11.5013	+	1.16502i	0.519577	+	0.0526302i
$491$	−9.64944	+	5.57111i	−0.435473	+	0.251420i	−0.701675	−	0.712497i	$-0.747564\pi$
$491$	−9.64944	+	5.57111i	−0.435473	+	0.251420i	0.266202	+	0.963917i	$0.414231\pi$
$492$	3.13795	+	9.75132i	0.141470	+	0.439624i
$493$	1.51311	+	1.51311i	0.0681471	+	0.0681471i
$494$	30.0696	+	13.8237i	1.35289	+	0.621960i
$495$	−0.184901	−	0.140363i	−0.00831068	−	0.00630885i
$496$	4.32686	+	43.5332i	0.194282	+	1.95470i
$497$	−21.4614	−	5.75056i	−0.962674	−	0.257948i
$498$	23.8844	−	14.5900i	1.07029	−	0.653793i
$499$	12.6777			0.567533			0.283767	−	0.958893i	$-0.408416\pi$
$499$	12.6777			0.567533			0.283767	+	0.958893i	$0.408416\pi$
$500$	−7.19538	+	21.1714i	−0.321787	+	0.946812i
$501$	−2.81368	+	4.87343i	−0.125706	+	0.217729i
$502$	16.7057	+	9.10106i	0.745613	+	0.406200i
$503$	6.26930	+	23.3973i	0.279534	+	1.04324i	0.952742	+	0.303782i	$0.0982494\pi$
$503$	6.26930	+	23.3973i	0.279534	+	1.04324i	−0.673207	+	0.739454i	$0.735084\pi$
$504$	−0.205246	−	0.0389409i	−0.00914239	−	0.00173457i
$505$	3.54325	−	28.0358i	0.157673	−	1.24758i
$506$	−13.8524	+	4.08197i	−0.615812	+	0.181466i
$507$	22.1874	+	2.80959i	0.985377	+	0.124778i
$508$	−0.0129320	+	0.0600059i	−0.000573766	+	0.00266233i
$509$	38.0680	−	21.9786i	1.68733	−	0.974182i	0.730786	−	0.682607i	$-0.239154\pi$
$509$	38.0680	−	21.9786i	1.68733	−	0.974182i	0.956548	−	0.291575i	$-0.0941794\pi$
$510$	−7.06332	+	9.79929i	−0.312769	+	0.433920i
$511$	5.79774	+	3.34733i	0.256477	+	0.148077i
$512$	−22.0676	+	5.00200i	−0.975260	+	0.221059i
$513$	−32.7918	+	8.78653i	−1.44779	+	0.387935i
$514$	−15.9008	−	3.84121i	−0.701353	−	0.169429i
$515$	−14.8043	+	2.02714i	−0.652355	+	0.0893263i
$516$	1.63963	+	33.0745i	0.0721808	+	1.45602i
$517$	−0.761856	−	0.204139i	−0.0335064	−	0.00897801i
$518$	17.6990	−	0.438436i	0.777651	−	0.0192638i
$519$	−4.29815			−0.188668
$520$	11.0743	−	19.9339i	0.485640	−	0.874159i
$521$	0.0161288			0.000706618			0.000353309	−	1.00000i	$-0.499888\pi$
$521$	0.0161288			0.000706618			0.000353309		1.00000i	$0.499888\pi$
$522$	0.0550283	−	0.00136315i	0.00240852	−	5.96634e-5i
$523$	34.2827	+	9.18603i	1.49908	+	0.401677i	0.912792	−	0.408426i	$-0.133922\pi$
$523$	34.2827	+	9.18603i	1.49908	+	0.401677i	0.586288	+	0.810103i	$0.300589\pi$
$524$	0.00436378	+	0.0880258i	0.000190633	+	0.00384542i
$525$	4.22865	+	15.1515i	0.184553	+	0.661266i
$526$	38.9976	+	9.42082i	1.70038	+	0.410767i
$527$	−23.4571	+	6.28530i	−1.02181	+	0.273792i
$528$	−16.5493	+	6.24558i	−0.720216	+	0.271804i
$529$	−6.25142	−	3.60926i	−0.271801	−	0.156924i
$530$	4.87791	+	30.0639i	0.211883	+	1.30589i
$531$	0.0145001	−	0.00837162i	0.000629250	−	0.000363297i
$532$	5.00121	−	23.2061i	0.216830	−	1.00611i
$533$	8.91071	−	5.98583i	0.385966	−	0.259275i
$534$	−9.84471	+	2.90101i	−0.426022	+	0.125539i
$535$	10.2168	−	7.92408i	0.441710	−	0.342588i
$536$	1.88216	−	9.92032i	0.0812970	−	0.428493i
$537$	1.71428	+	6.39778i	0.0739766	+	0.276084i
$538$	−26.6982	−	14.5448i	−1.15104	−	0.627073i
$539$	−4.69841	+	8.13789i	−0.202375	+	0.350524i
$540$	4.31698	+	22.9899i	0.185773	+	0.989327i
$541$	37.4687			1.61090			0.805452	−	0.592661i	$-0.201923\pi$
$541$	37.4687			1.61090			0.805452	+	0.592661i	$0.201923\pi$
$542$	11.0311	−	6.73843i	0.473825	−	0.289440i
$543$	7.70878	+	2.06556i	0.330816	+	0.0886418i
$544$	−4.72461	−	11.6381i	−0.202566	−	0.498981i
$545$	22.8503	−	30.1009i	0.978801	−	1.28938i
$546$	−1.48475	−	15.9732i	−0.0635416	−	0.683590i
$547$	−24.1283	−	24.1283i	−1.03165	−	1.03165i	−0.999482	−	0.0321714i	$-0.989758\pi$
$547$	−24.1283	−	24.1283i	−1.03165	−	1.03165i	−0.0321714	−	0.999482i	$-0.510242\pi$
$548$	−2.82221	−	8.77013i	−0.120559	−	0.374642i
$549$	−0.0118841	+	0.00686128i	−0.000507201	+	0.000292832i
$550$	−13.2960	−	12.3931i	−0.566943	−	0.528443i
$551$			6.25497i			0.266471i
$552$	17.4117	+	8.39576i	0.741092	+	0.357347i
$553$	3.66937	−	0.983205i	0.156038	−	0.0418101i
$554$	5.05276	+	17.1468i	0.214671	+	0.728497i
$555$	−10.2035	−	24.2767i	−0.433114	−	1.03049i
$556$	8.65517	−	16.8687i	0.367061	−	0.715392i
$557$	−21.7494	−	5.82774i	−0.921552	−	0.246929i	−0.233303	−	0.972404i	$-0.574954\pi$
$557$	−21.7494	−	5.82774i	−0.921552	−	0.246929i	−0.688249	+	0.725475i	$0.741620\pi$
$558$	−0.298851	+	0.548565i	−0.0126514	+	0.0232226i
$559$	32.8324	−	11.2356i	1.38866	−	0.475216i
$560$	−15.6811	−	4.65298i	−0.662649	−	0.196624i
$561$	−4.90952	−	8.50353i	−0.207280	−	0.359019i
$562$	−25.2998	+	0.626720i	−1.06721	+	0.0264366i
$563$	−2.66431	−	9.94335i	−0.112287	−	0.419062i	0.886782	−	0.462187i	$-0.152935\pi$
$563$	−2.66431	−	9.94335i	−0.112287	−	0.419062i	−0.999070	+	0.0431251i	$0.986269\pi$
$564$	0.572496	+	0.887046i	0.0241064	+	0.0373514i
$565$	10.8920	+	4.44560i	0.458229	+	0.187028i
$566$	0.235249	+	0.0568301i	0.00988827	+	0.00238875i
$567$	11.4793	+	11.4793i	0.482087	+	0.482087i
$568$	−30.9534	−	14.9254i	−1.29878	−	0.626257i
$569$	12.3581	−	7.13494i	0.518078	−	0.299112i	−0.218070	−	0.975933i	$-0.569976\pi$
$569$	12.3581	−	7.13494i	0.518078	−	0.299112i	0.736148	+	0.676821i	$0.236643\pi$
$570$	−34.8538	+	5.65506i	−1.45986	+	0.236864i
$571$		−	32.6574i		−	1.36667i	−0.730105	−	0.683335i	$-0.760529\pi$
$571$		−	32.6574i		−	1.36667i	0.730105	−	0.683335i	$-0.239471\pi$
$572$	11.0853	+	14.8561i	0.463500	+	0.621163i
$573$	−8.99112	−	8.99112i	−0.375610	−	0.375610i
$574$	−5.57780	−	5.30813i	−0.232813	−	0.221557i
$575$	0.205896	+	19.8619i	0.00858647	+	0.828298i
$576$	−0.300652	−	0.118344i	−0.0125271	−	0.00493100i
$577$	−13.3533	+	13.3533i	−0.555907	+	0.555907i	−0.928139	−	0.372233i	$-0.878592\pi$
$577$	−13.3533	+	13.3533i	−0.555907	+	0.555907i	0.372233	+	0.928139i	$0.378592\pi$
$578$	−14.5665	+	8.89805i	−0.605885	+	0.370110i
$579$	17.4317	−	30.1925i	0.724436	−	1.25476i
$580$	4.29739	+	0.328024i	0.178439	+	0.0136204i
$581$	−10.5188	+	18.2191i	−0.436394	+	0.755856i
$582$	0.630251	+	25.4423i	0.0261247	+	1.05462i
$583$	−23.9138	−	6.40769i	−0.990409	−	0.265379i
$584$	7.84483	+	6.75785i	0.324621	+	0.279642i
$585$	0.290928	−	0.146248i	0.0120284	−	0.00604663i
$586$	35.8038	−	10.5505i	1.47904	−	0.435839i
$587$	4.25909	−	15.8951i	0.175791	−	0.656062i	−0.820624	−	0.571468i	$-0.806374\pi$
$587$	4.25909	−	15.8951i	0.175791	−	0.656062i	0.996416	−	0.0845940i	$-0.0269593\pi$
$588$	11.9733	−	3.85299i	0.493772	−	0.158895i
$589$	−61.4753	−	35.4928i	−2.53304	−	1.46245i
$590$	1.19559	−	0.537722i	0.0492218	−	0.0221377i
$591$	−11.3997	−	6.58162i	−0.468921	−	0.270732i
$592$	27.0207	+	4.43637i	1.11054	+	0.182334i
$593$	−9.32656	−	9.32656i	−0.382996	−	0.382996i	0.489184	−	0.872180i	$-0.337294\pi$
$593$	−9.32656	−	9.32656i	−0.382996	−	0.382996i	−0.872180	+	0.489184i	$0.837294\pi$
$594$	−18.4825	−	4.46490i	−0.758348	−	0.183197i
$595$	1.13848	−	9.00813i	0.0466730	−	0.369297i
$596$	42.4424	+	21.7768i	1.73851	+	0.892014i
$597$	−24.3448	+	24.3448i	−0.996367	+	0.996367i
$598$	3.40930	−	19.9674i	0.139417	−	0.816526i
$599$	−1.83496			−0.0749745			−0.0374873	−	0.999297i	$-0.511935\pi$
$599$	−1.83496			−0.0749745			−0.0374873	+	0.999297i	$0.511935\pi$
$600$	2.05742	+	24.2423i	0.0839939	+	0.989688i
$601$	−6.48207	−	11.2273i	−0.264409	−	0.457970i	0.702999	−	0.711190i	$-0.251844\pi$
$601$	−6.48207	−	11.2273i	−0.264409	−	0.457970i	−0.967409	+	0.253220i	$0.918510\pi$
$602$	−12.9757	−	21.2418i	−0.528851	−	0.865750i
$603$	0.101953	−	0.101953i	0.00415183	−	0.00415183i
$604$	−1.32329	−	26.6932i	−0.0538438	−	1.08613i
$605$	−9.05481	+	3.80573i	−0.368130	+	0.154725i
$606$	−8.69092	−	29.4930i	−0.353044	−	1.19807i
$607$	10.5263	−	2.82052i	0.427250	−	0.114481i	−0.0387851	−	0.999248i	$-0.512349\pi$
$607$	10.5263	−	2.82052i	0.427250	−	0.114481i	0.466035	+	0.884766i	$0.345682\pi$
$608$	14.2898	−	33.8206i	0.579526	−	1.37161i
$609$	2.62576	−	1.51598i	0.106401	−	0.0614307i
$610$	−0.979895	+	0.440711i	−0.0396748	+	0.0178439i
$611$	0.727397	−	0.833581i	0.0294273	−	0.0337231i
$612$	0.0377861	−	0.175331i	0.00152741	−	0.00708736i
$613$	2.81308	−	10.4985i	0.113619	−	0.424032i	−0.885561	−	0.464523i	$-0.846226\pi$
$613$	2.81308	−	10.4985i	0.113619	−	0.424032i	0.999180	+	0.0404914i	$0.0128923\pi$
$614$	−32.1375	−	30.5838i	−1.29697	−	1.23426i
$615$	−4.32793	+	10.6037i	−0.174519	+	0.427581i
$616$	8.67777	−	10.0736i	0.349638	−	0.405876i
$617$	−8.28560	−	30.9223i	−0.333566	−	1.24488i	−0.905416	−	0.424526i	$-0.860441\pi$
$617$	−8.28560	−	30.9223i	−0.333566	−	1.24488i	0.571850	−	0.820358i	$-0.306226\pi$
$618$	−13.8743	+	8.47521i	−0.558105	+	0.340923i
$619$	4.40382			0.177004			0.0885022	−	0.996076i	$-0.471792\pi$
$619$	4.40382			0.177004			0.0885022	+	0.996076i	$0.471792\pi$
$620$	−27.6086	+	40.3743i	−1.10879	+	1.62147i
$621$	10.3894	+	17.9950i	0.416912	+	0.722113i
$622$	0.432122	+	17.4441i	0.0173265	+	0.699446i
$623$	5.45498	−	5.45498i	0.218549	−	0.218549i
$624$	2.34890	−	24.6998i	0.0940314	−	0.988785i
$625$	−21.3869	+	12.9461i	−0.855474	+	0.517846i
$626$	−25.5315	−	24.2971i	−1.02044	−	0.971109i
$627$	7.42856	−	27.7238i	0.296668	−	1.10718i
$628$	20.5209	−	22.6616i	0.818872	−	0.904296i
$629$			15.2001i			0.606068i
$630$	−0.147671	−	0.180959i	−0.00588335	−	0.00720959i
$631$	38.1064	+	22.0007i	1.51699	+	0.875835i	0.999801	+	0.0199635i	$0.00635501\pi$
$631$	38.1064	+	22.0007i	1.51699	+	0.875835i	0.517189	+	0.855871i	$0.326978\pi$
$632$	5.85918	−	0.436141i	0.233066	−	0.0173487i
$633$	16.4786	−	4.41542i	0.654965	−	0.175497i
$634$	12.5424	−	13.1796i	0.498121	−	0.523427i
$635$	−0.0542298	+	0.0420603i	−0.00215204	+	0.00166911i
$636$	17.9700	+	27.8434i	0.712558	+	1.10406i
$637$	−7.34981	−	10.9412i	−0.291210	−	0.433505i
$638$	−1.67600	+	3.07643i	−0.0663534	+	0.121797i
$639$	−0.245347	−	0.424954i	−0.00970579	−	0.0168109i
$640$	−22.4865	−	11.5912i	−0.888859	−	0.458182i
$641$	−5.63485	+	9.75985i	−0.222563	+	0.385491i	−0.955586	−	0.294714i	$-0.904776\pi$
$641$	−5.63485	+	9.75985i	−0.222563	+	0.385491i	0.733022	+	0.680205i	$0.238109\pi$
$642$	6.73012	−	12.3537i	0.265616	−	0.487560i
$643$	−2.25330	−	8.40944i	−0.0888615	−	0.331636i	0.907156	−	0.420795i	$-0.138249\pi$
$643$	−2.25330	−	8.40944i	−0.0888615	−	0.331636i	−0.996017	+	0.0891590i	$0.971582\pi$
$644$	−14.5120	+	0.719416i	−0.571852	+	0.0283490i
$645$	−22.3861	+	29.4894i	−0.881452	+	1.16114i
$646$	19.8111	+	4.78584i	0.779457	+	0.188296i
$647$	−9.80913	+	36.6082i	−0.385637	+	1.43922i	0.451524	+	0.892259i	$0.350880\pi$
$647$	−9.80913	+	36.6082i	−0.385637	+	1.43922i	−0.837161	+	0.546957i	$0.815786\pi$
$648$	14.1338	+	20.7527i	0.555227	+	0.815243i
$649$			1.06562i			0.0418293i
$650$	23.8169	−	9.09693i	0.934177	−	0.356811i
$651$			34.4087i			1.34858i
$652$	6.44682	+	20.0338i	0.252477	+	0.784583i
$653$	0.239877	−	0.895232i	0.00938710	−	0.0350331i	−0.961073	−	0.276293i	$-0.910894\pi$
$653$	0.239877	−	0.895232i	0.00938710	−	0.0350331i	0.970461	+	0.241260i	$0.0775606\pi$
$654$	9.65553	−	39.9692i	0.377561	−	1.56292i
$655$	−0.0595793	+	0.0784842i	−0.00232796	+	0.00306663i
$656$	−6.94532	−	9.67395i	−0.271169	−	0.377704i
$657$	0.0382668	+	0.142814i	0.00149293	+	0.00557169i
$658$	−0.696864	−	0.379643i	−0.0271666	−	0.0148000i
$659$	−6.45979	+	11.1887i	−0.251638	+	0.435849i	−0.963977	−	0.265986i	$-0.914302\pi$
$659$	−6.45979	+	11.1887i	−0.251638	+	0.435849i	0.712339	+	0.701835i	$0.247636\pi$
$660$	−18.6576	−	6.55757i	−0.726247	−	0.255253i
$661$	3.44421	+	5.96555i	0.133964	+	0.232033i	0.925201	−	0.379476i	$-0.123896\pi$
$661$	3.44421	+	5.96555i	0.133964	+	0.232033i	−0.791237	+	0.611510i	$0.790563\pi$
$662$	−24.3995	−	13.2925i	−0.948314	−	0.516629i
$663$	13.7411	−	0.934731i	0.533660	−	0.0363019i
$664$	−21.2362	+	24.6520i	−0.824124	+	0.956682i
$665$	20.9723	−	16.2660i	0.813270	−	0.630768i
$666$	0.283243	+	0.269549i	0.0109754	+	0.0104448i
$667$	3.69801	−	0.990880i	0.143188	−	0.0383670i
$668$	1.37826	−	6.39527i	0.0533265	−	0.247440i
$669$	−16.0673	−	9.27646i	−0.621198	−	0.358649i
$670$	8.74644	−	7.13749i	0.337905	−	0.275745i
$671$		−	0.873370i		−	0.0337161i
$672$	−17.6608	+	2.19824i	−0.681279	+	0.0847991i
$673$	−5.44227	+	20.3108i	−0.209784	+	0.782925i	0.778154	+	0.628074i	$0.216156\pi$
$673$	−5.44227	+	20.3108i	−0.209784	+	0.782925i	−0.987938	+	0.154851i	$0.950510\pi$
$674$	18.9969	−	19.9619i	0.731732	−	0.768905i
$675$	−12.8409	+	22.7832i	−0.494245	+	0.876927i
$676$	−25.5546	+	4.79214i	−0.982868	+	0.184313i
$677$	−7.48583	+	7.48583i	−0.287704	+	0.287704i	−0.836172	−	0.548468i	$-0.815211\pi$
$677$	−7.48583	+	7.48583i	−0.287704	+	0.287704i	0.548468	+	0.836172i	$0.315211\pi$
$678$	12.7962	−	0.316984i	0.491434	−	0.0121737i
$679$	−9.56496	−	16.5670i	−0.367069	−	0.635783i
$680$	4.32698	−	13.3599i	0.165932	−	0.512330i
$681$	46.0160			1.76334
$682$	−20.7257	−	33.9287i	−0.793627	−	1.29920i
$683$	0.550519	+	2.05456i	0.0210650	+	0.0786157i	0.975658	−	0.219297i	$-0.0703763\pi$
$683$	0.550519	+	2.05456i	0.0210650	+	0.0786157i	−0.954593	+	0.297913i	$0.903710\pi$
$684$	0.440498	−	0.284296i	0.0168429	−	0.0108703i
$685$	3.89245	−	9.53672i	0.148723	−	0.364379i
$686$	−18.9980	+	19.9632i	−0.725349	+	0.762198i
$687$	−6.81825	+	25.4461i	−0.260133	+	0.970828i
$688$	−13.5931	−	36.0184i	−0.518231	−	1.37319i
$689$	22.8322	−	26.1652i	0.869836	−	0.996814i
$690$	8.86468	+	19.7101i	0.337473	+	0.750351i
$691$	−34.5925	+	19.9720i	−1.31596	+	0.759770i	−0.983076	−	0.183198i	$-0.941355\pi$
$691$	−34.5925	+	19.9720i	−1.31596	+	0.759770i	−0.332884	+	0.942968i	$0.608022\pi$
$692$	4.75661	−	1.53067i	0.180819	−	0.0581872i
$693$	0.183387	−	0.0491385i	0.00696631	−	0.00186662i
$694$	−27.3774	+	8.06750i	−1.03923	+	0.306238i
$695$	19.5416	−	8.21330i	0.741254	−	0.311548i
$696$	4.42698	−	1.54658i	0.167804	−	0.0586231i
$697$	4.67448	−	4.67448i	0.177058	−	0.177058i
$698$	4.18505	−	2.55647i	0.158406	−	0.0967639i
$699$	−19.3394	−	33.4967i	−0.731481	−	1.26696i
$700$	−10.0755	−	15.2617i	−0.380817	−	0.576838i
$701$	34.4349			1.30059			0.650295	−	0.759682i	$-0.274645\pi$
$701$	34.4349			1.30059			0.650295	+	0.759682i	$0.274645\pi$
$702$	17.0326	−	20.5235i	0.642852	−	0.774609i
$703$	−31.4175	+	31.4175i	−1.18493	+	1.18493i
$704$	16.0903	−	12.8053i	0.606428	−	0.482619i
$705$	−0.148001	+	1.17105i	−0.00557402	+	0.0441042i
$706$	0.0488266	−	0.202119i	0.00183761	−	0.00760683i
$707$	16.3422	+	16.3422i	0.614611	+	0.614611i
$708$	0.957423	−	1.05730i	0.0359822	−	0.0397358i
$709$	13.9919	+	8.07823i	0.525477	+	0.303384i	0.739173	−	0.673516i	$-0.235217\pi$
$709$	13.9919	+	8.07823i	0.525477	+	0.303384i	−0.213696	+	0.976900i	$0.568550\pi$
$710$	−15.7590	−	35.0393i	−0.591426	−	1.31500i
$711$	0.0726567	+	0.0419484i	0.00272484	+	0.00157319i
$712$	9.86167	−	6.71636i	0.369582	−	0.251706i
$713$	−11.2451	+	41.9674i	−0.421134	+	1.57169i
$714$	−2.79246	−	9.47636i	−0.104505	−	0.354644i
$715$	−1.19711	+	20.6894i	−0.0447695	+	0.773739i
$716$	−4.17552	−	6.46970i	−0.156046	−	0.241784i
$717$	−3.14060	−	0.841520i	−0.117288	−	0.0314272i
$718$	26.6077	−	0.659120i	0.992990	−	0.0245981i
$719$	7.05495	−	12.2195i	0.263105	−	0.455711i	−0.703960	−	0.710239i	$-0.748587\pi$
$719$	7.05495	−	12.2195i	0.263105	−	0.455711i	0.967065	+	0.254528i	$0.0819201\pi$
$720$	−0.172221	−	0.317547i	−0.00641828	−	0.0118343i
$721$	6.11029	−	10.5833i	0.227559	−	0.394144i
$722$	17.0489	+	27.9097i	0.634494	+	1.03869i
$723$	21.1505	−	21.1505i	0.786595	−	0.786595i
$724$	−9.26663	+	0.459383i	−0.344392	+	0.0170728i
$725$	3.44240	+	3.37176i	0.127848	+	0.125224i
$726$	−7.36731	+	7.74158i	−0.273426	+	0.287317i
$727$	−3.43585	−	3.43585i	−0.127429	−	0.127429i	0.640516	−	0.767945i	$-0.278720\pi$
$727$	−3.43585	−	3.43585i	−0.127429	−	0.127429i	−0.767945	+	0.640516i	$0.778720\pi$
$728$	7.33153	+	17.1482i	0.271725	+	0.635555i
$729$			27.3536i			1.01310i
$730$	1.85403	+	11.4269i	0.0686208	+	0.422930i
$731$	18.5073	−	10.6852i	0.684519	−	0.395207i
$732$	−0.784693	+	0.866552i	−0.0290031	+	0.0320287i
$733$	14.5773	+	14.5773i	0.538423	+	0.538423i	0.923066	−	0.384642i	$-0.125675\pi$
$733$	14.5773	+	14.5773i	0.538423	+	0.538423i	−0.384642	+	0.923066i	$0.625675\pi$
$734$	−9.49578	+	39.3079i	−0.350495	+	1.45088i
$735$	13.0199	+	5.31413i	0.480246	+	0.196015i
$736$	−22.2588	−	3.09059i	−0.820471	−	0.113921i
$737$	2.37505	+	8.86380i	0.0874860	+	0.326502i
$738$	−0.00421119	−	0.170000i	−0.000155016	−	0.00625777i
$739$	8.57718	+	14.8561i	0.315517	+	0.546491i	0.979547	−	0.201215i	$-0.0644889\pi$
$739$	8.57718	+	14.8561i	0.315517	+	0.546491i	−0.664031	+	0.747705i	$0.731156\pi$
$740$	19.9373	+	23.2325i	0.732910	+	0.854044i
$741$	30.3338	+	26.4698i	1.11434	+	0.972393i
$742$	−21.8738	−	11.9166i	−0.803012	−	0.437471i
$743$	5.59885	+	1.50021i	0.205402	+	0.0550373i	0.360053	−	0.932932i	$-0.382759\pi$
$743$	5.59885	+	1.50021i	0.205402	+	0.0550373i	−0.154651	+	0.987969i	$0.549425\pi$
$744$	−9.91995	+	52.2851i	−0.363683	+	1.91687i
$745$	20.6651	+	49.1675i	0.757109	+	1.80136i
$746$	−32.2783	+	9.51166i	−1.18179	+	0.348247i
$747$	−0.448784	+	0.120251i	−0.0164202	+	0.00439977i
$748$	8.46148	+	7.66217i	0.309382	+	0.280157i
$749$			10.5744i			0.386379i
$750$	−15.6758	+	22.2300i	−0.572398	+	0.811725i
$751$	12.3125	−	7.10865i	0.449291	−	0.259398i	−0.258240	−	0.966081i	$-0.583142\pi$
$751$	12.3125	−	7.10865i	0.449291	−	0.259398i	0.707531	+	0.706683i	$0.249809\pi$
$752$	−0.949458	−	0.777784i	−0.0346232	−	0.0283628i
$753$	16.3639	+	16.3639i	0.596335	+	0.596335i
$754$	−2.84035	−	4.01000i	−0.103439	−	0.146036i
$755$	18.0670	−	23.7998i	0.657526	−	0.866163i
$756$	−17.0210	−	8.73333i	−0.619048	−	0.317628i
$757$	−13.2964	−	3.56277i	−0.483267	−	0.129491i	0.00895633	−	0.999960i	$-0.497149\pi$
$757$	−13.2964	−	3.56277i	−0.483267	−	0.129491i	−0.492224	+	0.870469i	$0.663816\pi$
$758$	23.5931	+	38.6229i	0.856941	+	1.40285i
$759$	−17.5674			−0.637656
$760$	36.5575	−	18.6704i	1.32608	−	0.677248i
$761$	6.47041	−	11.2071i	0.234552	−	0.406256i	−0.724590	−	0.689180i	$-0.757971\pi$
$761$	6.47041	−	11.2071i	0.234552	−	0.406256i	0.959142	+	0.282924i	$0.0913043\pi$
$762$	−0.0357229	+	0.0655722i	−0.00129410	+	0.00237543i
$763$	7.99948	+	29.8545i	0.289601	+	1.08080i
$764$	13.1521	+	6.74822i	0.475826	+	0.244142i
$765$	0.158454	−	0.122896i	0.00572892	−	0.00444332i
$766$	9.33800	+	31.6889i	0.337396	+	1.14497i
$767$	−1.34220	−	0.657782i	−0.0484639	−	0.0237511i
$768$	−27.4699	−	1.75126i	−0.991234	−	0.0631931i
$769$	−24.6435	+	14.2279i	−0.888668	+	0.513073i	−0.873507	−	0.486812i	$-0.838160\pi$
$769$	−24.6435	+	14.2279i	−0.888668	+	0.513073i	−0.0151614	+	0.999885i	$0.504826\pi$
$770$	14.6734	−	2.38077i	0.528791	−	0.0857970i
$771$	−17.2333	−	9.94963i	−0.620641	−	0.358327i
$772$	−8.53878	+	39.6208i	−0.307317	+	1.42598i
$773$	−34.8203	+	9.33007i	−1.25240	+	0.335579i	−0.823263	−	0.567661i	$-0.807848\pi$
$773$	−34.8203	+	9.33007i	−1.25240	+	0.335579i	−0.429136	+	0.903240i	$0.641182\pi$
$774$	0.129086	−	0.534356i	0.00463992	−	0.0192070i
$775$	−52.6717	+	14.7002i	−1.89202	+	0.528046i
$776$	−9.75804	−	27.9316i	−0.350293	−	1.00269i
$777$	20.8031	+	5.57419i	0.746309	+	0.199973i
$778$	−0.580652	−	23.4401i	−0.0208174	−	0.840367i
$779$	19.3236			0.692339
$780$	19.7765	−	19.4523i	0.708111	−	0.696503i
$781$	31.2302			1.11750
$782$	−0.308921	−	12.4707i	−0.0110470	−	0.445951i
$783$	4.86901	+	1.30465i	0.174004	+	0.0466243i
$784$	−11.8783	+	8.52794i	−0.424226	+	0.304569i
$785$	33.8646	−	4.63705i	1.20868	−	0.165504i
$786$	−0.0251755	+	0.104215i	−0.000897982	+	0.00371721i
$787$	−25.8064	+	6.91480i	−0.919898	+	0.246486i	−0.687542	−	0.726145i	$-0.741310\pi$
$787$	−25.8064	+	6.91480i	−0.919898	+	0.246486i	−0.232357	+	0.972631i	$0.574644\pi$
$788$	14.9595	+	3.22396i	0.532910	+	0.114849i
$789$	42.2657	+	24.4021i	1.50470	+	0.868737i
$790$	5.32886	+	3.84104i	0.189592	+	0.136658i
$791$	−8.33234	+	4.81068i	−0.296264	+	0.171048i
$792$	0.292830	−	0.0217974i	0.0104052	−	0.000774537i
$793$	1.10005	+	0.539110i	0.0390639	+	0.0191444i
$794$	8.51372	+	28.8917i	0.302141	+	1.02533i
$795$	−4.64557	+	36.7578i	−0.164761	+	1.30367i
$796$	18.2718	−	35.6113i	0.647627	−	1.26221i
$797$	−1.02215	−	3.81473i	−0.0362066	−	0.135125i	0.945457	−	0.325748i	$-0.105616\pi$
$797$	−1.02215	−	3.81473i	−0.0362066	−	0.135125i	−0.981663	+	0.190623i	$0.938949\pi$
$798$	13.8151	−	25.3587i	0.489050	−	0.897690i
$799$	0.340657	−	0.590036i	0.0120516	−	0.0208740i
$800$	−10.9101	−	26.0954i	−0.385730	−	0.922612i
$801$	0.170375			0.00601990
$802$	24.4426	+	40.0135i	0.863097	+	1.41292i
$803$	−9.08934	−	2.43548i	−0.320756	−	0.0859463i
$804$	5.60731	−	10.9285i	0.197755	−	0.385418i
$805$	−12.9390	−	9.82228i	−0.456038	−	0.346190i
$806$	55.5282	−	5.16150i	1.95590	−	0.181806i
$807$	−26.1520	−	26.1520i	−0.920594	−	0.920594i
$808$	20.1211	+	29.5439i	0.707856	+	1.03935i
$809$	−7.36803	+	4.25394i	−0.259046	+	0.149560i	−0.623899	−	0.781505i	$-0.714453\pi$
$809$	−7.36803	+	4.25394i	−0.259046	+	0.149560i	0.364853	+	0.931065i	$0.381119\pi$
$810$	−2.82908	+	27.9293i	−0.0994036	+	0.981334i
$811$			2.34339i			0.0822875i	0.999153	+	0.0411438i	$0.0131002\pi$
$811$			2.34339i			0.0822875i	−0.999153	+	0.0411438i	$0.986900\pi$
$812$	−2.36596	+	2.61277i	−0.0830288	+	0.0916904i
$813$	15.1888	−	4.06982i	0.532694	−	0.142735i
$814$	−23.8705	+	7.03409i	−0.836661	+	0.246545i
$815$	−8.89159	+	21.7849i	−0.311459	+	0.763091i
$816$	−1.51123	−	15.2047i	−0.0529035	−	0.532271i
$817$	60.3388	+	16.1677i	2.11099	+	0.565638i
$818$	−18.7838	−	10.2332i	−0.656761	−	0.357795i
$819$	−0.0513084	+	0.261316i	−0.00179286	+	0.00913114i
$820$	1.01337	−	13.2760i	0.0353884	−	0.463617i
$821$	5.14468	+	8.91085i	0.179551	+	0.310991i	0.941727	−	0.336379i	$-0.109202\pi$
$821$	5.14468	+	8.91085i	0.179551	+	0.310991i	−0.762176	+	0.647370i	$0.775869\pi$
$822$	−0.277542	−	11.2040i	−0.00968040	−	0.390784i
$823$	−4.34033	−	16.1983i	−0.151294	−	0.564638i	−0.999394	−	0.0348017i	$-0.988920\pi$
$823$	−4.34033	−	16.1983i	−0.151294	−	0.564638i	0.848100	−	0.529836i	$-0.177747\pi$
$824$	12.3359	−	14.3201i	0.429743	−	0.498866i
$825$	−11.2533	−	19.0329i	−0.391789	−	0.662639i
$826$	−0.251762	+	1.04218i	−0.00875994	+	0.0362619i
$827$	−33.4423	−	33.4423i	−1.16290	−	1.16290i	−0.983837	−	0.179064i	$-0.942693\pi$
$827$	−33.4423	−	33.4423i	−1.16290	−	1.16290i	−0.179064	−	0.983837i	$-0.557307\pi$
$828$	−0.237860	−	0.215391i	−0.00826622	−	0.00748535i
$829$	−4.58504	+	2.64717i	−0.159245	+	0.0919401i	−0.577505	−	0.816387i	$-0.695973\pi$
$829$	−4.58504	+	2.64717i	−0.159245	+	0.0919401i	0.418260	+	0.908327i	$0.362640\pi$
$830$	−35.9086	+	5.82620i	−1.24640	+	0.202231i
$831$			21.7454i			0.754339i
$832$	6.19671	+	28.1709i	0.214832	+	0.976651i
$833$	−5.73964	−	5.73964i	−0.198867	−	0.198867i
$834$	15.8997	−	16.7074i	0.550561	−	0.578531i
$835$	5.77966	−	4.48267i	0.200013	−	0.155129i
$836$	1.65212	+	33.3264i	0.0571398	+	1.15262i
$837$	−40.4507	+	40.4507i	−1.39818	+	1.39818i
$838$	−24.2621	−	39.7180i	−0.838119	−	1.37203i
$839$	−4.67741	+	8.10150i	−0.161482	+	0.279695i	−0.935400	−	0.353590i	$-0.884961\pi$
$839$	−4.67741	+	8.10150i	−0.161482	+	0.279695i	0.773918	+	0.633285i	$0.218294\pi$
$840$	−16.6978	−	10.8213i	−0.576130	−	0.373371i
$841$	−14.0356	+	24.3104i	−0.483987	+	0.838290i
$842$	2.82414	−	0.0699590i	0.0973264	−	0.00241095i
$843$	−29.7369	−	7.96798i	−1.02419	−	0.274432i
$844$	−16.6638	+	10.7548i	−0.573593	+	0.370195i
$845$	−25.3202	−	14.2789i	−0.871042	−	0.491208i
$846$	−0.00495388	−	0.0168112i	−0.000170318	−	0.000577982i
$847$	2.07908	−	7.75922i	0.0714379	−	0.266610i
$848$	−29.8024	−	24.4138i	−1.02342	−	0.838372i
$849$	0.254963	+	0.147203i	0.00875032	+	0.00505200i
$850$	13.3131	−	8.32313i	0.456635	−	0.285481i
$851$	23.5514	+	13.5974i	0.807331	+	0.466113i
$852$	−30.9863	−	28.0592i	−1.06157	−	0.961293i
$853$	9.85836	+	9.85836i	0.337544	+	0.337544i	0.855442	−	0.517898i	$-0.173285\pi$
$853$	9.85836	+	9.85836i	0.337544	+	0.337544i	−0.517898	+	0.855442i	$0.673285\pi$
$854$	0.206342	−	0.854155i	0.00706086	−	0.0292286i
$855$	0.581530	+	0.0734956i	0.0198879	+	0.00251350i
$856$	−3.04857	+	16.0681i	−0.104198	+	0.549196i
$857$	31.6172	−	31.6172i	1.08002	−	1.08002i	0.0835170	−	0.996506i	$-0.473385\pi$
$857$	31.6172	−	31.6172i	1.08002	−	1.08002i	0.996506	−	0.0835170i	$-0.0266153\pi$
$858$	7.82682	+	21.1467i	0.267203	+	0.721936i
$859$	39.1675			1.33638			0.668189	−	0.743992i	$-0.267070\pi$
$859$	39.1675			1.33638			0.668189	+	0.743992i	$0.267070\pi$
$860$	14.2721	−	40.6070i	0.486674	−	1.38469i
$861$	−4.68335	−	8.11179i	−0.159608	−	0.276449i
$862$	−26.3449	+	16.0930i	−0.897312	+	0.548130i
$863$	−26.0288	+	26.0288i	−0.886032	+	0.886032i	−0.994139	−	0.108108i	$-0.965521\pi$
$863$	−26.0288	+	26.0288i	−0.886032	+	0.886032i	0.108108	+	0.994139i	$0.465521\pi$
$864$	−23.3462	−	18.1777i	−0.794253	−	0.618418i
$865$	5.17237	+	2.11113i	0.175866	+	0.0717805i
$866$	−27.7381	+	8.17376i	−0.942577	+	0.277756i
$867$	−20.0567	+	5.37417i	−0.681161	+	0.182516i
$868$	−12.2537	−	38.0789i	−0.415917	−	1.29248i
$869$	−4.62423	+	2.66980i	−0.156866	+	0.0905667i
$870$	4.90168	+	1.86041i	0.166182	+	0.0630737i
$871$	−12.6304	−	2.47993i	−0.427965	−	0.0840292i
$872$	3.54850	+	47.6711i	0.120167	+	1.61435i
$873$	0.109347	−	0.408089i	0.00370083	−	0.0138117i
$874$	25.1375	−	26.4145i	0.850288	−	0.893484i
$875$	2.35325	−	20.3102i	0.0795542	−	0.686612i
$876$	6.83018	+	10.5829i	0.230770	+	0.357564i
$877$	−0.130789	−	0.488111i	−0.00441643	−	0.0164823i	0.963682	−	0.267051i	$-0.0860491\pi$
$877$	−0.130789	−	0.488111i	−0.00441643	−	0.0164823i	−0.968099	+	0.250568i	$0.919382\pi$
$878$	−25.3541	−	41.5056i	−0.855658	−	1.40075i
$879$	45.4060			1.53151
$880$	22.9830	+	0.612640i	0.774758	+	0.0206521i
$881$	−8.18431	−	14.1756i	−0.275736	−	0.477589i	0.694584	−	0.719411i	$-0.255588\pi$
$881$	−8.18431	−	14.1756i	−0.275736	−	0.477589i	−0.970321	+	0.241822i	$0.922255\pi$
$882$	−0.208737	+	0.00517079i	−0.00702854	+	0.000174109i
$883$	16.5562	−	16.5562i	0.557162	−	0.557162i	−0.371336	−	0.928498i	$-0.621100\pi$
$883$	16.5562	−	16.5562i	0.557162	−	0.557162i	0.928498	+	0.371336i	$0.121100\pi$
$884$	−14.8739	+	5.92794i	−0.500264	+	0.199378i
$885$	1.57999	−	0.216347i	0.0531109	−	0.00727242i
$886$	−26.9818	+	28.3526i	−0.906473	+	0.952524i
$887$	7.12612	−	26.5951i	0.239272	−	0.892974i	−0.736905	−	0.675997i	$-0.763713\pi$
$887$	7.12612	−	26.5951i	0.239272	−	0.892974i	0.976177	−	0.216978i	$-0.0696199\pi$
$888$	30.0040	+	14.4677i	1.00687	+	0.485503i
$889$		−	0.0561279i		−	0.00188247i
$890$	13.2720	+	1.34438i	0.444878	+	0.0450636i
$891$	−19.7617	−	11.4094i	−0.662040	−	0.382229i
$892$	21.0847	+	4.54401i	0.705967	+	0.152145i
$893$	1.92367	−	0.515447i	0.0643732	−	0.0172488i
$894$	42.0367	+	40.0044i	1.40592	+	1.33795i
$895$	1.07945	−	8.54106i	0.0360819	−	0.285496i
$896$	18.7617	−	8.72211i	0.626785	−	0.291385i
$897$	10.8439	−	22.1269i	0.362068	−	0.738797i
$898$	19.5050	+	10.6261i	0.650891	+	0.354597i
$899$	5.27006	+	9.12802i	0.175766	+	0.304436i
$900$	0.0809907	−	0.395677i	0.00269969	−	0.0131892i
$901$	10.6928	−	18.5206i	0.356230	−	0.617009i
$902$	9.50406	+	5.17769i	0.316450	+	0.172398i
$903$	−7.83696	−	29.2479i	−0.260798	−	0.973311i
$904$	−14.0482	+	4.90779i	−0.467235	+	0.163231i
$905$	−8.26217	−	6.27202i	−0.274644	−	0.208489i
$906$	7.63431	−	31.6024i	0.253633	−	1.04992i
$907$	−8.62404	+	32.1854i	−0.286357	+	1.06870i	0.661486	+	0.749958i	$0.269926\pi$
$907$	−8.62404	+	32.1854i	−0.286357	+	1.06870i	−0.947842	+	0.318740i	$0.896740\pi$
$908$	−50.9242	+	16.3873i	−1.68998	+	0.543832i
$909$			0.510414i			0.0169294i
$910$	−6.05883	+	19.9513i	−0.200848	+	0.661381i
$911$		−	7.65574i		−	0.253646i	−0.991925	−	0.126823i	$-0.959522\pi$
$911$		−	7.65574i		−	0.253646i	0.991925	−	0.126823i	$-0.0404780\pi$
$912$	28.3034	−	34.5506i	0.937218	−	1.14408i
$913$	7.65338	−	28.5628i	0.253290	−	0.945291i
$914$	3.36260	+	0.812317i	0.111225	+	0.0268691i
$915$	−1.29494	+	0.177315i	−0.0428095	+	0.00586186i
$916$	−1.51639	−	30.5884i	−0.0501028	−	1.01067i
$917$	−0.0208576	−	0.0778417i	−0.000688779	−	0.00257056i
$918$	7.85756	−	14.4232i	0.259338	−	0.476036i
$919$	−9.90317	+	17.1528i	−0.326675	+	0.565818i	−0.981850	−	0.189659i	$-0.939262\pi$
$919$	−9.90317	+	17.1528i	−0.326675	+	0.565818i	0.655175	+	0.755478i	$0.272595\pi$
$920$	−16.8294	−	18.6555i	−0.554850	−	0.615055i
$921$	−26.9840	−	46.7376i	−0.889153	−	1.54006i
$922$	−17.0986	+	31.3859i	−0.563113	+	1.03364i
$923$	−19.2776	+	39.3358i	−0.634531	+	1.29475i
$924$	13.5896	−	8.77066i	0.447064	−	0.288534i
$925$	0.354803	+	34.2262i	0.0116658	+	1.12535i
$926$	14.5783	−	15.3189i	0.479072	−	0.503409i
$927$	0.260695	−	0.0698531i	0.00856236	−	0.00229428i
$928$	−4.34841	+	3.28809i	−0.142743	+	0.107937i
$929$	−13.9496	−	8.05382i	−0.457672	−	0.264237i	0.253393	−	0.967364i	$-0.418454\pi$
$929$	−13.9496	−	8.05382i	−0.457672	−	0.264237i	−0.711065	+	0.703126i	$0.751787\pi$
$930$	−46.0982	+	37.6182i	−1.51162	+	1.23355i
$931$		−	23.7268i		−	0.777615i
$932$	33.3311	+	30.1825i	1.09180	+	0.988660i
$933$	−5.49391	+	20.5035i	−0.179863	+	0.671256i
$934$	−2.52124	−	2.39935i	−0.0824975	−	0.0785091i
$935$	1.73140	+	12.6445i	0.0566229	+	0.413520i
$936$	−0.153302	+	0.382287i	−0.00501082	+	0.0124954i
$937$	−3.67693	+	3.67693i	−0.120120	+	0.120120i	−0.764612	−	0.644491i	$-0.777069\pi$
$937$	−3.67693	+	3.67693i	−0.120120	+	0.120120i	0.644491	+	0.764612i	$0.277069\pi$
$938$	0.228641	+	9.22991i	0.00746540	+	0.301367i
$939$	−21.4373	−	37.1305i	−0.699579	−	1.21171i
$940$	−0.253248	−	1.34866i	−0.00826005	−	0.0439885i
$941$	37.8711			1.23456			0.617281	−	0.786743i	$-0.288234\pi$
$941$	37.8711			1.23456			0.617281	+	0.786743i	$0.288234\pi$
$942$	31.7372	−	19.3870i	1.03405	−	0.631661i
$943$	−3.06114	−	11.4243i	−0.0996844	−	0.372027i
$944$	−0.683018	+	1.51104i	−0.0222303	+	0.0491801i
$945$	−8.28747	−	19.7180i	−0.269591	−	0.641427i
$946$	25.3448	+	24.1195i	0.824030	+	0.784192i
$947$	0.683963	−	2.55259i	0.0222258	−	0.0829479i	−0.953922	−	0.300054i	$-0.902995\pi$
$947$	0.683963	−	2.55259i	0.0222258	−	0.0829479i	0.976148	+	0.217106i	$0.0696619\pi$
$948$	6.98684	+	1.50575i	0.226922	+	0.0489046i
$949$	8.67823	−	9.94507i	0.281707	−	0.322830i
$950$	44.7205	+	10.3139i	1.45092	+	0.334626i
$951$	19.1670	−	11.0661i	0.621534	−	0.358843i
$952$	6.46506	+	9.49269i	0.209534	+	0.307660i
$953$	0.492586	−	0.131988i	0.0159564	−	0.00427551i	−0.250832	−	0.968031i	$-0.580704\pi$
$953$	0.492586	−	0.131988i	0.0159564	−	0.00427551i	0.266788	+	0.963755i	$0.414038\pi$
$954$	−0.155497	−	0.527685i	−0.00503439	−	0.0170844i
$955$	6.40370	+	15.2361i	0.207219	+	0.493027i
$956$	3.77527	−	0.187155i	0.122101	−	0.00605303i
$957$	−3.01349	+	3.01349i	−0.0974123	+	0.0974123i
$958$	18.1315	+	29.6820i	0.585802	+	0.958981i
$959$	4.21210	+	7.29557i	0.136016	+	0.235586i
$960$	−22.2532	−	21.2573i	−0.718217	−	0.686077i
$961$	−88.6162			−2.85859
$962$	5.87494	−	34.4079i	0.189416	−	1.10936i
$963$	−0.165134	+	0.165134i	−0.00532138	+	0.00532138i
$964$	−15.8743	+	30.9386i	−0.511278	+	0.996466i
$965$	−35.8069	+	27.7716i	−1.15267	+	0.894001i
$966$	−17.1809	−	4.15046i	−0.552786	−	0.133539i
$967$	19.1878	+	19.1878i	0.617038	+	0.617038i	0.944771	−	0.327732i	$-0.106284\pi$
$967$	19.1878	+	19.1878i	0.617038	+	0.617038i	−0.327732	+	0.944771i	$0.606284\pi$
$968$	5.39619	−	11.1910i	0.173440	−	0.359692i
$969$	21.4713	+	12.3964i	0.689756	+	0.398231i
$970$	11.7381	−	30.9267i	0.376887	−	0.992997i
$971$	−43.5042	−	25.1172i	−1.39612	−	0.806049i	−0.402134	−	0.915581i	$-0.631731\pi$
$971$	−43.5042	−	25.1172i	−1.39612	−	0.806049i	−0.993983	+	0.109532i	$0.965065\pi$
$972$	−0.257129	−	0.799041i	−0.00824743	−	0.0256292i
$973$	−4.48694	+	16.7455i	−0.143845	+	0.536836i
$974$	−8.11164	+	2.39031i	−0.259914	+	0.0765906i
$975$	30.9191	−	2.42548i	0.990204	−	0.0776777i
$976$	0.559793	−	1.23843i	0.0179186	−	0.0396411i
$977$	−23.3991	−	6.26978i	−0.748605	−	0.200588i	−0.135706	−	0.990749i	$-0.543330\pi$
$977$	−23.3991	−	6.26978i	−0.748605	−	0.200588i	−0.612899	+	0.790161i	$0.709997\pi$
$978$	0.633994	+	25.5934i	0.0202729	+	0.818388i
$979$	−5.42174	+	9.39073i	−0.173280	+	0.300129i
$980$	−16.3011	−	1.24428i	−0.520721	−	0.0397471i
$981$	−0.341298	+	0.591145i	−0.0108968	+	0.0188738i
$982$	13.4471	−	8.21426i	0.429113	−	0.262127i
$983$	29.2661	−	29.2661i	0.933444	−	0.933444i	−0.0644753	−	0.997919i	$-0.520537\pi$
$983$	29.2661	−	29.2661i	0.933444	−	0.933444i	0.997919	+	0.0644753i	$0.0205374\pi$
$984$	−4.77788	−	13.6763i	−0.152313	−	0.435985i
$985$	10.4856	+	13.5195i	0.334101	+	0.430767i
$986$	−2.19220	−	2.08621i	−0.0698138	−	0.0664386i
$987$	−0.682607	−	0.682607i	−0.0217276	−	0.0217276i
$988$	−42.9959	−	18.4906i	−1.36788	−	0.588266i
$989$		−	38.2342i		−	1.21578i
$990$	0.266325	+	0.191967i	0.00846437	+	0.00610110i
$991$	4.07775	−	2.35429i	0.129534	−	0.0747865i	−0.433833	−	0.900993i	$-0.642839\pi$
$991$	4.07775	−	2.35429i	0.129534	−	0.0747865i	0.563367	+	0.826207i	$0.309506\pi$
$992$	−7.64183	−	61.3948i	−0.242628	−	1.94929i
$993$	−23.9003	−	23.9003i	−0.758454	−	0.758454i
$994$	30.5431	+	7.37841i	0.968767	+	0.234029i
$995$	41.2539	−	17.3390i	1.30784	−	0.549683i
$996$	−33.2563	+	21.4635i	−1.05377	+	0.680097i
$997$	−2.40487	−	8.97511i	−0.0761631	−	0.284245i	0.917331	−	0.398124i	$-0.130339\pi$
$997$	−2.40487	−	8.97511i	−0.0761631	−	0.284245i	−0.993495	+	0.113880i	$0.963672\pi$
$998$	−17.9235	+	0.443997i	−0.567359	+	0.0140545i
$999$	17.9031	+	31.0091i	0.566429	+	0.981084i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bj.c.3.1	✓	144
4.3	odd	2	inner	260.2.bj.c.3.7	yes	144
5.2	odd	4	inner	260.2.bj.c.107.18	yes	144
13.9	even	3	inner	260.2.bj.c.243.24	yes	144
20.7	even	4	inner	260.2.bj.c.107.24	yes	144
52.35	odd	6	inner	260.2.bj.c.243.18	yes	144
65.22	odd	12	inner	260.2.bj.c.87.7	yes	144
260.87	even	12	inner	260.2.bj.c.87.1	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bj.c.3.1	✓	144	1.1	even	1	trivial
260.2.bj.c.3.7	yes	144	4.3	odd	2	inner
260.2.bj.c.87.1	yes	144	260.87	even	12	inner
260.2.bj.c.87.7	yes	144	65.22	odd	12	inner
260.2.bj.c.107.18	yes	144	5.2	odd	4	inner
260.2.bj.c.107.24	yes	144	20.7	even	4	inner
260.2.bj.c.243.18	yes	144	52.35	odd	6	inner
260.2.bj.c.243.24	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)

\(f(q)\)	\(=\)	\(q+(-1.41378 + 0.0350218i) q^{2} +(-1.66173 - 0.445260i) q^{3} +(1.99755 - 0.0990263i) q^{4} +(1.78102 + 1.35202i) q^{5} +(2.36492 + 0.571303i) q^{6} +(-1.76644 + 0.473317i) q^{7} +(-2.82062 + 0.209959i) q^{8} +(-0.0349771 - 0.0201940i) q^{9} +O(q^{10})\)	\(q+(-1.41378 + 0.0350218i) q^{2} +(-1.66173 - 0.445260i) q^{3} +(1.99755 - 0.0990263i) q^{4} +(1.78102 + 1.35202i) q^{5} +(2.36492 + 0.571303i) q^{6} +(-1.76644 + 0.473317i) q^{7} +(-2.82062 + 0.209959i) q^{8} +(-0.0349771 - 0.0201940i) q^{9} +(-2.56533 - 1.84908i) q^{10} +(2.22611 - 1.28525i) q^{11} +(-3.36348 - 0.724872i) q^{12} +(0.244700 + 3.59724i) q^{13} +(2.48079 - 0.731030i) q^{14} +(-2.35758 - 3.03971i) q^{15} +(3.98039 - 0.395619i) q^{16} +(0.574687 + 2.14476i) q^{17} +(0.0501572 + 0.0273250i) q^{18} +(-3.24522 + 5.62089i) q^{19} +(3.69156 + 2.52435i) q^{20} +3.14611 q^{21} +(-3.10222 + 1.89502i) q^{22} +(3.83723 + 1.02818i) q^{23} +(4.78061 + 0.907015i) q^{24} +(1.34409 + 4.81596i) q^{25} +(-0.471934 - 5.07713i) q^{26} +(3.69855 + 3.69855i) q^{27} +(-3.48168 + 1.12040i) q^{28} +(0.834606 - 0.481860i) q^{29} +(3.43956 + 4.21492i) q^{30} +10.9369i q^{31} +(-5.61354 + 0.698719i) q^{32} +(-4.27147 + 1.14454i) q^{33} +(-0.887594 - 3.01209i) q^{34} +(-3.78601 - 1.54528i) q^{35} +(-0.0718682 - 0.0368749i) q^{36} +(6.61235 + 1.77177i) q^{37} +(4.39118 - 8.06036i) q^{38} +(1.19508 - 6.08660i) q^{39} +(-5.30747 - 3.43959i) q^{40} +(-1.48862 - 2.57836i) q^{41} +(-4.44790 + 0.110182i) q^{42} +(-2.49101 - 9.29656i) q^{43} +(4.31949 - 2.78778i) q^{44} +(-0.0349923 - 0.0832558i) q^{45} +(-5.46100 - 1.31924i) q^{46} +(-0.216969 - 0.216969i) q^{47} +(-6.79049 - 1.11489i) q^{48} +(-3.16589 + 1.82782i) q^{49} +(-2.06891 - 6.76163i) q^{50} -3.81990i q^{51} +(0.845021 + 7.16142i) q^{52} +(-6.81041 - 6.81041i) q^{53} +(-5.35846 - 5.09940i) q^{54} +(5.70244 + 0.720692i) q^{55} +(4.88309 - 1.70593i) q^{56} +(7.89545 - 7.89545i) q^{57} +(-1.16307 + 0.710473i) q^{58} +(-0.207279 + 0.359019i) q^{59} +(-5.01040 - 5.83851i) q^{60} +(0.169884 - 0.294247i) q^{61} +(-0.383031 - 15.4624i) q^{62} +(0.0713433 + 0.0191164i) q^{63} +(7.91183 - 1.18443i) q^{64} +(-4.42772 + 6.73760i) q^{65} +(5.99884 - 1.76772i) q^{66} +(-0.923966 + 3.44829i) q^{67} +(1.36035 + 4.22735i) q^{68} +(-5.91864 - 3.41713i) q^{69} +(5.40670 + 2.05209i) q^{70} +(10.5218 + 6.07474i) q^{71} +(0.102897 + 0.0496160i) q^{72} +(-2.58855 - 2.58855i) q^{73} +(-9.41046 - 2.27332i) q^{74} +(-0.0891646 - 8.60130i) q^{75} +(-5.92587 + 11.5494i) q^{76} +(-3.32397 + 3.32397i) q^{77} +(-1.47642 + 8.64697i) q^{78} -2.07727 q^{79} +(7.62405 + 4.67695i) q^{80} +(-4.43860 - 7.68788i) q^{81} +(2.19488 + 3.59310i) q^{82} +(8.13440 - 8.13440i) q^{83} +(6.28449 - 0.311547i) q^{84} +(-1.87623 + 4.59686i) q^{85} +(3.84732 + 13.0560i) q^{86} +(-1.60144 + 0.429106i) q^{87} +(-6.00918 + 4.09259i) q^{88} +(-3.65328 + 2.10922i) q^{89} +(0.0523872 + 0.116480i) q^{90} +(-2.13488 - 6.23850i) q^{91} +(7.76686 + 1.67386i) q^{92} +(4.86977 - 18.1742i) q^{93} +(0.314345 + 0.299148i) q^{94} +(-13.3794 + 5.62334i) q^{95} +(9.63931 + 1.33840i) q^{96} +(2.70741 + 10.1042i) q^{97} +(4.41185 - 2.69502i) q^{98} -0.103817 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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