LMFDB - Embedded newform 930.2.bj.a.277.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			277.9
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.a.883.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.90323 - 1.17377i) q^{5} -1.00000i q^{6} +(0.771267 - 1.51370i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.90323 - 1.17377i) q^{5} -1.00000i q^{6} +(0.771267 - 1.51370i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.861584 - 2.06341i) q^{10} +(-5.15008 + 1.67336i) q^{11} +(0.987688 - 0.156434i) q^{12} +(6.44895 + 1.02141i) q^{13} +(1.61571 + 0.524977i) q^{14} +(1.69618 + 1.45704i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-0.141027 - 0.276782i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(1.11098 - 1.52914i) q^{19} +(2.17279 + 0.528188i) q^{20} +(-0.998565 + 1.37441i) q^{21} +(-2.45841 - 4.82490i) q^{22} +(-4.64046 + 2.36443i) q^{23} +(0.309017 + 0.951057i) q^{24} +(2.24455 + 4.46789i) q^{25} +6.52934i q^{26} +(-0.891007 - 0.453990i) q^{27} +(-0.265760 + 1.67795i) q^{28} +(2.25836 + 1.64080i) q^{29} +(-1.17377 + 1.90323i) q^{30} +(-3.17420 + 4.57432i) q^{31} +(0.707107 + 0.707107i) q^{32} +(5.34845 - 0.847110i) q^{33} +(0.251313 - 0.182589i) q^{34} +(-3.24462 + 1.97562i) q^{35} -1.00000 q^{36} +(-8.15187 + 8.15187i) q^{37} +(1.68411 + 0.858096i) q^{38} +(-6.20977 - 2.01768i) q^{39} +(-0.181785 + 2.22867i) q^{40} +(5.04467 + 3.66517i) q^{41} +(-1.51370 - 0.771267i) q^{42} +(1.18628 + 7.48988i) q^{43} +(4.38092 - 3.18292i) q^{44} +(-1.44736 - 1.70445i) q^{45} +(-3.06125 - 4.21345i) q^{46} +(5.44488 + 0.862384i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(2.41807 + 3.32819i) q^{49} +(-4.06175 + 2.91585i) q^{50} +(0.0959929 + 0.295436i) q^{51} +(-6.44895 + 1.02141i) q^{52} +(-6.12830 + 3.12252i) q^{53} +(0.309017 - 0.951057i) q^{54} +(11.7659 + 2.86020i) q^{55} -1.69886 q^{56} +(-1.33652 + 1.33652i) q^{57} +(-1.26731 + 2.48723i) q^{58} +(0.270609 + 0.372462i) q^{59} +(-2.06341 - 0.861584i) q^{60} -3.56808i q^{61} +(-5.01456 - 2.41954i) q^{62} +(1.20128 - 1.20128i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-11.0749 - 9.51354i) q^{65} +(1.67336 + 5.15008i) q^{66} +(-7.00027 - 7.00027i) q^{67} +(0.219655 + 0.219655i) q^{68} +(4.95320 - 1.60939i) q^{69} +(-2.45887 - 2.89562i) q^{70} +(1.49549 - 4.60266i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(0.445384 - 0.874115i) q^{73} +(-9.32674 - 6.77627i) q^{74} +(-1.51798 - 4.76400i) q^{75} +(-0.584079 + 1.79761i) q^{76} +(-1.43912 + 9.08627i) q^{77} +(1.02141 - 6.44895i) q^{78} +(-0.147824 + 0.454956i) q^{79} +(-2.22967 + 0.169093i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-2.83088 + 5.55592i) q^{82} +(2.83743 + 17.9148i) q^{83} +(0.524977 - 1.61571i) q^{84} +(-0.0564697 + 0.692312i) q^{85} +(-7.21209 + 2.34335i) q^{86} +(-1.97388 - 1.97388i) q^{87} +(3.82906 + 3.82906i) q^{88} +(-0.828824 - 2.55086i) q^{89} +(1.45704 - 1.69618i) q^{90} +(6.51997 - 8.97397i) q^{91} +(3.68269 - 3.68269i) q^{92} +(3.85071 - 4.02145i) q^{93} +5.51275i q^{94} +(-3.90931 + 1.60626i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-5.59920 + 10.9891i) q^{97} +(-2.90895 + 2.90895i) q^{98} -5.41511 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 16 q^{7}+O(q^{10}) $ 128 * q - 16 * q^7	$ 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) $ 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	−1.90323	−	1.17377i	−0.851149	−	0.524924i
$5$	−1.90323	−	1.17377i	−0.851149	−	0.524924i
$6$		−	1.00000i		−	0.408248i
$7$	0.771267	−	1.51370i	0.291511	−	0.572123i	−0.698082	−	0.716018i	$-0.745963\pi$
$7$	0.771267	−	1.51370i	0.291511	−	0.572123i	0.989593	+	0.143895i	$0.0459627\pi$
$8$	−0.453990	−	0.891007i	−0.160510	−	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	0.861584	−	2.06341i	0.272457	−	0.652508i
$11$	−5.15008	+	1.67336i	−1.55281	+	0.504538i	−0.954875	−	0.297009i	$-0.904011\pi$
$11$	−5.15008	+	1.67336i	−1.55281	+	0.504538i	−0.597933	+	0.801546i	$0.704011\pi$
$12$	0.987688	−	0.156434i	0.285121	−	0.0451587i
$13$	6.44895	+	1.02141i	1.78862	+	0.283289i	0.960706	−	0.277569i	$-0.0895288\pi$
$13$	6.44895	+	1.02141i	1.78862	+	0.283289i	0.827912	+	0.560858i	$0.189529\pi$
$14$	1.61571	+	0.524977i	0.431817	+	0.140306i
$15$	1.69618	+	1.45704i	0.437951	+	0.376207i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	−0.141027	−	0.276782i	−0.0342042	−	0.0671294i	0.873272	−	0.487233i	$-0.161994\pi$
$17$	−0.141027	−	0.276782i	−0.0342042	−	0.0671294i	−0.907476	+	0.420104i	$0.861994\pi$
$18$	−0.156434	+	0.987688i	−0.0368720	+	0.232800i
$19$	1.11098	−	1.52914i	0.254877	−	0.350809i	−0.662335	−	0.749208i	$-0.730434\pi$
$19$	1.11098	−	1.52914i	0.254877	−	0.350809i	0.917212	+	0.398400i	$0.130434\pi$
$20$	2.17279	+	0.528188i	0.485851	+	0.118106i
$21$	−0.998565	+	1.37441i	−0.217905	+	0.299920i
$22$	−2.45841	−	4.82490i	−0.524135	−	1.02867i
$23$	−4.64046	+	2.36443i	−0.967602	+	0.493018i	−0.865037	−	0.501709i	$-0.832705\pi$
$23$	−4.64046	+	2.36443i	−0.967602	+	0.493018i	−0.102565	+	0.994726i	$0.532705\pi$
$24$	0.309017	+	0.951057i	0.0630778	+	0.194134i
$25$	2.24455	+	4.46789i	0.448910	+	0.893577i
$26$			6.52934i			1.28051i
$27$	−0.891007	−	0.453990i	−0.171474	−	0.0873705i
$28$	−0.265760	+	1.67795i	−0.0502240	+	0.317102i
$29$	2.25836	+	1.64080i	0.419367	+	0.304688i	0.777383	−	0.629027i	$-0.216547\pi$
$29$	2.25836	+	1.64080i	0.419367	+	0.304688i	−0.358016	+	0.933715i	$0.616547\pi$
$30$	−1.17377	+	1.90323i	−0.214299	+	0.347480i
$31$	−3.17420	+	4.57432i	−0.570104	+	0.821573i
$31$	−3.17420	+	4.57432i	−0.570104	+	0.821573i
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	5.34845	−	0.847110i	0.931045	−	0.147463i
$34$	0.251313	−	0.182589i	0.0430998	−	0.0313138i
$35$	−3.24462	+	1.97562i	−0.548441	+	0.333941i
$36$	−1.00000			−0.166667
$37$	−8.15187	+	8.15187i	−1.34016	+	1.34016i	−0.444262	+	0.895897i	$0.646534\pi$
$37$	−8.15187	+	8.15187i	−1.34016	+	1.34016i	−0.895897	+	0.444262i	$0.853466\pi$
$38$	1.68411	+	0.858096i	0.273199	+	0.139202i
$39$	−6.20977	−	2.01768i	−0.994359	−	0.323087i
$40$	−0.181785	+	2.22867i	−0.0287428	+	0.352383i
$41$	5.04467	+	3.66517i	0.787845	+	0.572403i	0.907323	−	0.420434i	$-0.138122\pi$
$41$	5.04467	+	3.66517i	0.787845	+	0.572403i	−0.119478	+	0.992837i	$0.538122\pi$
$42$	−1.51370	−	0.771267i	−0.233568	−	0.119009i
$43$	1.18628	+	7.48988i	0.180906	+	1.14220i	0.896291	+	0.443466i	$0.146251\pi$
$43$	1.18628	+	7.48988i	0.180906	+	1.14220i	−0.715385	+	0.698730i	$0.753749\pi$
$44$	4.38092	−	3.18292i	0.660448	−	0.479844i
$45$	−1.44736	−	1.70445i	−0.215760	−	0.254084i
$46$	−3.06125	−	4.21345i	−0.451356	−	0.621239i
$47$	5.44488	+	0.862384i	0.794217	+	0.125792i	0.540342	−	0.841446i	$-0.318295\pi$
$47$	5.44488	+	0.862384i	0.794217	+	0.125792i	0.253875	+	0.967237i	$0.418295\pi$
$48$	−0.891007	+	0.453990i	−0.128606	+	0.0655279i
$49$	2.41807	+	3.32819i	0.345439	+	0.475456i
$50$	−4.06175	+	2.91585i	−0.574419	+	0.412363i
$51$	0.0959929	+	0.295436i	0.0134417	+	0.0413693i
$52$	−6.44895	+	1.02141i	−0.894309	+	0.141645i
$53$	−6.12830	+	3.12252i	−0.841786	+	0.428911i	−0.821038	−	0.570873i	$-0.806605\pi$
$53$	−6.12830	+	3.12252i	−0.841786	+	0.428911i	−0.0207480	+	0.999785i	$0.506605\pi$
$54$	0.309017	−	0.951057i	0.0420519	−	0.129422i
$55$	11.7659	+	2.86020i	1.58651	+	0.385669i
$56$	−1.69886			−0.227020
$57$	−1.33652	+	1.33652i	−0.177026	+	0.177026i
$58$	−1.26731	+	2.48723i	−0.166406	+	0.326590i
$59$	0.270609	+	0.372462i	0.0352303	+	0.0484904i	0.826269	−	0.563276i	$-0.190459\pi$
$59$	0.270609	+	0.372462i	0.0352303	+	0.0484904i	−0.791038	+	0.611766i	$0.790459\pi$
$60$	−2.06341	−	0.861584i	−0.266385	−	0.111230i
$61$		−	3.56808i		−	0.456846i	−0.973562	−	0.228423i	$-0.926643\pi$
$61$		−	3.56808i		−	0.456846i	0.973562	−	0.228423i	$-0.0733570\pi$
$62$	−5.01456	−	2.41954i	−0.636850	−	0.307282i
$63$	1.20128	−	1.20128i	0.151347	−	0.151347i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	−11.0749	−	9.51354i	−1.37367	−	1.18001i
$66$	1.67336	+	5.15008i	0.205977	+	0.633931i
$67$	−7.00027	−	7.00027i	−0.855219	−	0.855219i	0.135551	−	0.990770i	$-0.456720\pi$
$67$	−7.00027	−	7.00027i	−0.855219	−	0.855219i	−0.990770	+	0.135551i	$0.956720\pi$
$68$	0.219655	+	0.219655i	0.0266371	+	0.0266371i
$69$	4.95320	−	1.60939i	0.596295	−	0.193748i
$70$	−2.45887	−	2.89562i	−0.293891	−	0.346093i
$71$	1.49549	−	4.60266i	0.177482	−	0.546235i	−0.822256	−	0.569118i	$-0.807285\pi$
$71$	1.49549	−	4.60266i	0.177482	−	0.546235i	0.999738	+	0.0228834i	$0.00728466\pi$
$72$	−0.156434	−	0.987688i	−0.0184360	−	0.116400i
$73$	0.445384	−	0.874115i	0.0521282	−	0.102307i	−0.863473	−	0.504395i	$-0.831715\pi$
$73$	0.445384	−	0.874115i	0.0521282	−	0.102307i	0.915601	+	0.402088i	$0.131715\pi$
$74$	−9.32674	−	6.77627i	−1.08421	−	0.787726i
$75$	−1.51798	−	4.76400i	−0.175282	−	0.550100i
$76$	−0.584079	+	1.79761i	−0.0669985	+	0.206200i
$77$	−1.43912	+	9.08627i	−0.164003	+	1.03548i
$78$	1.02141	−	6.44895i	0.115652	−	0.730200i
$79$	−0.147824	+	0.454956i	−0.0166315	+	0.0511865i	−0.959028	−	0.283312i	$-0.908567\pi$
$79$	−0.147824	+	0.454956i	−0.0166315	+	0.0511865i	0.942396	+	0.334498i	$0.108567\pi$
$80$	−2.22967	+	0.169093i	−0.249284	+	0.0189052i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	−2.83088	+	5.55592i	−0.312619	+	0.613549i
$83$	2.83743	+	17.9148i	0.311449	+	1.96641i	0.249726	+	0.968317i	$0.419659\pi$
$83$	2.83743	+	17.9148i	0.311449	+	1.96641i	0.0617226	+	0.998093i	$0.480341\pi$
$84$	0.524977	−	1.61571i	0.0572797	−	0.176289i
$85$	−0.0564697	+	0.692312i	−0.00612500	+	0.0750917i
$86$	−7.21209	+	2.34335i	−0.777700	+	0.252690i
$87$	−1.97388	−	1.97388i	−0.211622	−	0.211622i
$88$	3.82906	+	3.82906i	0.408180	+	0.408180i
$89$	−0.828824	−	2.55086i	−0.0878552	−	0.270390i	0.897471	−	0.441074i	$-0.145402\pi$
$89$	−0.828824	−	2.55086i	−0.0878552	−	0.270390i	−0.985326	+	0.170684i	$0.945402\pi$
$90$	1.45704	−	1.69618i	0.153586	−	0.178793i
$91$	6.51997	−	8.97397i	0.683479	−	0.940728i
$92$	3.68269	−	3.68269i	0.383947	−	0.383947i
$93$	3.85071	−	4.02145i	0.399300	−	0.417005i
$94$			5.51275i			0.568596i
$95$	−3.90931	+	1.60626i	−0.401086	+	0.164799i
$96$	−0.587785	−	0.809017i	−0.0599906	−	0.0825700i
$97$	−5.59920	+	10.9891i	−0.568513	+	1.11577i	0.410479	+	0.911870i	$0.365362\pi$
$97$	−5.59920	+	10.9891i	−0.568513	+	1.11577i	−0.978992	+	0.203899i	$0.934638\pi$
$98$	−2.90895	+	2.90895i	−0.293848	+	0.293848i
$99$	−5.41511			−0.544239
$100$	−3.51535	−	3.55561i	−0.351535	−	0.355561i
$101$	2.64498	−	8.14040i	0.263185	−	0.810000i	−0.728921	−	0.684598i	$-0.759978\pi$
$101$	2.64498	−	8.14040i	0.263185	−	0.810000i	0.992106	−	0.125402i	$-0.0400222\pi$
$102$	−0.276782	+	0.141027i	−0.0274055	+	0.0139638i
$103$	1.54519	−	0.244734i	0.152252	−	0.0241143i	−0.0798432	−	0.996807i	$-0.525442\pi$
$103$	1.54519	−	0.244734i	0.152252	−	0.0241143i	0.232095	+	0.972693i	$0.425442\pi$
$104$	−2.01768	−	6.20977i	−0.197849	−	0.608918i
$105$	3.51373	−	1.44373i	0.342905	−	0.140893i
$106$	−4.04276	−	5.56438i	−0.392667	−	0.540460i
$107$	−5.59091	+	2.84871i	−0.540493	+	0.275395i	−0.702851	−	0.711337i	$-0.748090\pi$
$107$	−5.59091	+	2.84871i	−0.540493	+	0.275395i	0.162358	+	0.986732i	$0.448090\pi$
$108$	0.987688	+	0.156434i	0.0950404	+	0.0150529i
$109$	1.16887	+	1.60881i	0.111957	+	0.154096i	0.861318	−	0.508066i	$-0.169639\pi$
$109$	1.16887	+	1.60881i	0.111957	+	0.154096i	−0.749361	+	0.662161i	$0.769639\pi$
$110$	−0.984389	+	12.0685i	−0.0938578	+	1.15068i
$111$	9.32674	−	6.77627i	0.885255	−	0.643175i
$112$	−0.265760	−	1.67795i	−0.0251120	−	0.158551i
$113$	14.3246	+	7.29876i	1.34755	+	0.686609i	0.970841	−	0.239724i	$-0.0770569\pi$
$113$	14.3246	+	7.29876i	1.34755	+	0.686609i	0.376705	+	0.926333i	$0.377057\pi$
$114$	−1.52914	−	1.11098i	−0.143217	−	0.104053i
$115$	11.6071	+	0.946758i	1.08237	+	0.0882856i
$116$	−2.65486	−	0.862617i	−0.246498	−	0.0800920i
$117$	5.81768	+	2.96426i	0.537845	+	0.274046i
$118$	−0.325543	+	0.325543i	−0.0299687	+	0.0299687i
$119$	−0.527733			−0.0483772
$120$	0.528188	−	2.17279i	0.0482167	−	0.198348i
$121$	14.8240	−	10.7703i	1.34764	−	0.979115i
$122$	3.52415	−	0.558171i	0.319062	−	0.0505344i
$123$	−4.40921	−	4.40921i	−0.397565	−	0.397565i
$124$	1.60530	−	5.33132i	0.144160	−	0.478767i
$125$	0.972360	−	11.1380i	0.0869705	−	0.996211i
$126$	1.37441	+	0.998565i	0.122442	+	0.0889593i
$127$	0.863224	−	5.45018i	0.0765988	−	0.483626i	−0.919330	−	0.393486i	$-0.871269\pi$
$127$	0.863224	−	5.45018i	0.0765988	−	0.483626i	0.995929	−	0.0901392i	$-0.0287312\pi$
$128$	−0.891007	−	0.453990i	−0.0787546	−	0.0401275i
$129$		−	7.58324i		−	0.667667i
$130$	7.66391	−	12.4268i	0.672169	−	1.08990i
$131$	−0.171084	−	0.526541i	−0.0149476	−	0.0460041i	0.943304	−	0.331929i	$-0.107699\pi$
$131$	−0.171084	−	0.526541i	−0.0149476	−	0.0460041i	−0.958252	+	0.285925i	$0.907699\pi$
$132$	−4.82490	+	2.45841i	−0.419954	+	0.213977i
$133$	−1.45779	−	2.86107i	−0.126406	−	0.248086i
$134$	5.81900	−	8.00917i	0.502685	−	0.691887i
$135$	1.16291	+	1.90988i	0.100087	+	0.164376i
$136$	−0.182589	+	0.251313i	−0.0156569	+	0.0215499i
$137$	0.557066	−	3.51718i	0.0475934	−	0.300493i	−0.952397	−	0.304860i	$-0.901390\pi$
$137$	0.557066	−	3.51718i	0.0475934	−	0.300493i	0.999990	+	0.00436761i	$0.00139026\pi$
$138$	2.36443	+	4.64046i	0.201274	+	0.395022i
$139$	0.797691	−	0.579556i	0.0676593	−	0.0491573i	−0.553442	−	0.832888i	$-0.686686\pi$
$139$	0.797691	−	0.579556i	0.0676593	−	0.0491573i	0.621101	+	0.783731i	$0.286686\pi$
$140$	2.47532	−	2.88157i	0.209202	−	0.243537i
$141$	−5.24293	−	1.70353i	−0.441535	−	0.143463i
$142$	4.77994	+	0.757068i	0.401123	+	0.0635317i
$143$	−34.9218	+	5.53107i	−2.92031	+	0.462531i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	−2.37227	−	5.77359i	−0.197006	−	0.479471i
$146$	0.933027	+	0.303159i	0.0772178	+	0.0250896i
$147$	−1.86766	−	3.66549i	−0.154042	−	0.302324i
$148$	5.23382	−	10.2720i	0.430217	−	0.844349i
$149$			13.9853i			1.14572i	0.819652	+	0.572862i	$0.194167\pi$
$149$			13.9853i			1.14572i	−0.819652	+	0.572862i	$0.805833\pi$
$150$	4.46789	−	2.24455i	0.364801	−	0.183267i
$151$	20.9392	−	6.80357i	1.70401	−	0.553666i	0.714692	−	0.699439i	$-0.246567\pi$
$151$	20.9392	−	6.80357i	1.70401	−	0.553666i	0.989318	+	0.145773i	$0.0465669\pi$
$152$	−1.86685	−	0.295680i	−0.151421	−	0.0239828i
$153$	−0.0485947	−	0.306815i	−0.00392865	−	0.0248045i
$154$	−9.19953			−0.741319
$155$	11.4104	−	4.98021i	0.916506	−	0.400020i
$156$	6.52934			0.522765
$157$	−0.0954809	−	0.602842i	−0.00762020	−	0.0481121i	0.983585	−	0.180444i	$-0.0577535\pi$
$157$	−0.0954809	−	0.602842i	−0.00762020	−	0.0481121i	−0.991205	+	0.132332i	$0.957753\pi$
$158$	−0.472479	−	0.0748333i	−0.0375884	−	0.00595342i
$159$	6.54132	−	2.12540i	0.518760	−	0.168555i
$160$	−0.515808	−	2.17576i	−0.0407782	−	0.172009i
$161$			8.84785i			0.697308i
$162$	−0.453990	+	0.891007i	−0.0356689	+	0.0700041i
$163$	7.43372	+	14.5895i	0.582254	+	1.14274i	0.974816	+	0.223012i	$0.0715890\pi$
$163$	7.43372	+	14.5895i	0.582254	+	1.14274i	−0.392562	+	0.919726i	$0.628411\pi$
$164$	−5.93037	−	1.92689i	−0.463084	−	0.150465i
$165$	−11.1736	−	4.66558i	−0.869865	−	0.363215i
$166$	−17.2504	+	5.60500i	−1.33889	+	0.435032i
$167$	−16.6093	+	2.63066i	−1.28527	+	0.203566i	−0.761427	−	0.648250i	$-0.775501\pi$
$167$	−16.6093	+	2.63066i	−1.28527	+	0.203566i	−0.523840	+	0.851817i	$0.675501\pi$
$168$	1.67795	+	0.265760i	0.129456	+	0.0205039i
$169$	28.1820	+	9.15687i	2.16784	+	0.704375i
$170$	−0.692622	+	0.0525269i	−0.0531217	+	0.00402863i
$171$	1.52914	−	1.11098i	0.116936	−	0.0849591i
$172$	−3.44272	−	6.75672i	−0.262505	−	0.515195i
$173$	0.863656	−	5.45291i	0.0656625	−	0.414577i	−0.932860	−	0.360239i	$-0.882695\pi$
$173$	0.863656	−	5.45291i	0.0656625	−	0.414577i	0.998523	−	0.0543380i	$-0.0173048\pi$
$174$	1.64080	−	2.25836i	0.124388	−	0.171206i
$175$	8.49417	+	0.0483648i	0.642099	+	0.00365603i
$176$	−3.18292	+	4.38092i	−0.239922	+	0.330224i
$177$	−0.209012	−	0.410209i	−0.0157103	−	0.0308332i
$178$	2.38980	−	1.21766i	0.179123	−	0.0912676i
$179$	−2.38927	−	7.35342i	−0.178583	−	0.549621i	0.821196	−	0.570646i	$-0.193307\pi$
$179$	−2.38927	−	7.35342i	−0.178583	−	0.549621i	−0.999779	+	0.0210251i	$0.993307\pi$
$180$	1.90323	+	1.17377i	0.141858	+	0.0874873i
$181$			16.3025i			1.21176i	0.795557	+	0.605879i	$0.207179\pi$
$181$			16.3025i			1.21176i	−0.795557	+	0.605879i	$0.792821\pi$
$182$	9.88344	+	5.03586i	0.732609	+	0.373283i
$183$	−0.558171	+	3.52415i	−0.0412612	+	0.260513i
$184$	4.21345	+	3.06125i	0.310619	+	0.225678i
$185$	25.0832	−	5.94648i	1.84416	−	0.437194i
$186$	4.57432	+	3.17420i	0.335406	+	0.232744i
$187$	1.18946	+	1.18946i	0.0869818	+	0.0869818i
$188$	−5.44488	+	0.862384i	−0.397108	+	0.0628958i
$189$	−1.37441	+	0.998565i	−0.0999734	+	0.0726350i
$190$	−2.19804	−	3.60990i	−0.159462	−	0.261890i
$191$	−1.34903			−0.0976125			−0.0488063	−	0.998808i	$-0.515542\pi$
$191$	−1.34903			−0.0976125			−0.0488063	+	0.998808i	$0.515542\pi$
$192$	0.707107	−	0.707107i	0.0510310	−	0.0510310i
$193$	−20.5919	−	10.4921i	−1.48224	−	0.755237i	−0.489103	−	0.872226i	$-0.662676\pi$
$193$	−20.5919	−	10.4921i	−1.48224	−	0.755237i	−0.993133	+	0.116989i	$0.962676\pi$
$194$	−11.7297	−	3.81120i	−0.842141	−	0.273628i
$195$	9.45033	+	11.1289i	0.676752	+	0.796958i
$196$	−3.32819	−	2.41807i	−0.237728	−	0.172719i
$197$	−3.43759	−	1.75154i	−0.244918	−	0.124792i	0.327223	−	0.944947i	$-0.393887\pi$
$197$	−3.43759	−	1.75154i	−0.244918	−	0.124792i	−0.572141	+	0.820155i	$0.693887\pi$
$198$	−0.847110	−	5.34845i	−0.0602015	−	0.380097i
$199$	−7.28246	+	5.29102i	−0.516240	+	0.375070i	−0.815185	−	0.579200i	$-0.803365\pi$
$199$	−7.28246	+	5.29102i	−0.516240	+	0.375070i	0.298946	+	0.954270i	$0.403365\pi$
$200$	2.96191	−	4.02829i	0.209439	−	0.284843i
$201$	5.81900	+	8.00917i	0.410441	+	0.564923i
$202$	8.45395	+	1.33897i	0.594818	+	0.0942099i
$203$	4.22546	−	2.15298i	0.296569	−	0.151110i
$204$	−0.182589	−	0.251313i	−0.0127838	−	0.0175954i
$205$	−5.29911	−	12.8969i	−0.370106	−	0.900759i
$206$	0.483441	+	1.48788i	0.0336829	+	0.103665i
$207$	−5.14398	+	0.814727i	−0.357532	+	0.0566275i
$208$	5.81768	−	2.96426i	0.403384	−	0.205534i
$209$	−3.16285	+	9.73427i	−0.218779	+	0.673333i
$210$	1.97562	+	3.24462i	0.136331	+	0.223900i
$211$	−7.02637			−0.483716			−0.241858	−	0.970312i	$-0.577757\pi$
$211$	−7.02637			−0.483716			−0.241858	+	0.970312i	$0.577757\pi$
$212$	4.86344	−	4.86344i	0.334023	−	0.334023i
$213$	−2.19710	+	4.31204i	−0.150543	+	0.295456i
$214$	−3.68825	−	5.07644i	−0.252123	−	0.347018i
$215$	6.53360	−	15.6474i	0.445588	−	1.06714i
$216$			1.00000i			0.0680414i
$217$	4.47598	+	8.33280i	0.303849	+	0.565668i
$218$	−1.40615	+	1.40615i	−0.0952363	+	0.0952363i
$219$	−0.576642	+	0.793680i	−0.0389659	+	0.0536319i
$220$	−12.0739	+	0.915657i	−0.814022	+	0.0617336i
$221$	−0.626770	−	1.92900i	−0.0421611	−	0.129759i
$222$	8.15187	+	8.15187i	0.547118	+	0.547118i
$223$	−8.76192	−	8.76192i	−0.586742	−	0.586742i	0.350006	−	0.936748i	$-0.386180\pi$
$223$	−8.76192	−	8.76192i	−0.586742	−	0.586742i	−0.936748	+	0.350006i	$0.886180\pi$
$224$	1.61571	−	0.524977i	0.107954	−	0.0350765i
$225$	0.754041	+	4.94282i	0.0502694	+	0.329521i
$226$	−4.96803	+	15.2900i	−0.330469	+	1.01708i
$227$	1.77435	+	11.2028i	0.117768	+	0.743556i	0.973930	+	0.226849i	$0.0728424\pi$
$227$	1.77435	+	11.2028i	0.117768	+	0.743556i	−0.856162	+	0.516707i	$0.827158\pi$
$228$	0.858096	−	1.68411i	0.0568288	−	0.111533i
$229$	−17.0058	−	12.3555i	−1.12378	−	0.816472i	−0.139000	−	0.990292i	$-0.544389\pi$
$229$	−17.0058	−	12.3555i	−1.12378	−	0.816472i	−0.984777	+	0.173821i	$0.944389\pi$
$230$	0.880654	+	11.6123i	0.0580686	+	0.765694i
$231$	2.84281	−	8.74927i	0.187043	−	0.575660i
$232$	0.436685	−	2.75712i	0.0286698	−	0.181014i
$233$	−0.907634	+	5.73058i	−0.0594611	+	0.375423i	0.939956	+	0.341295i	$0.110865\pi$
$233$	−0.907634	+	5.73058i	−0.0594611	+	0.375423i	−0.999417	+	0.0341280i	$0.989135\pi$
$234$	−2.01768	+	6.20977i	−0.131900	+	0.405945i
$235$	−9.35060	−	8.03232i	−0.609966	−	0.523971i
$236$	−0.372462	−	0.270609i	−0.0242452	−	0.0176152i
$237$	0.217175	−	0.426230i	0.0141070	−	0.0276866i
$238$	−0.0825557	−	0.521236i	−0.00535129	−	0.0337867i
$239$	−1.64903	+	5.07520i	−0.106667	+	0.328287i	−0.990118	−	0.140236i	$-0.955214\pi$
$239$	−1.64903	+	5.07520i	−0.106667	+	0.328287i	0.883451	+	0.468523i	$0.155214\pi$
$240$	2.22867	+	0.181785i	0.143860	+	0.0117342i
$241$	18.1356	−	5.89261i	1.16822	−	0.379576i	0.340239	−	0.940339i	$-0.389492\pi$
$241$	18.1356	−	5.89261i	1.16822	−	0.379576i	0.827976	+	0.560763i	$0.189492\pi$
$242$	12.9566	+	12.9566i	0.832885	+	0.832885i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	1.10260	+	3.39345i	0.0705866	+	0.217243i
$245$	−0.695626	−	9.17256i	−0.0444419	−	0.586013i
$246$	3.66517	−	5.04467i	0.233683	−	0.321637i
$247$	8.72657	−	8.72657i	0.555258	−	0.555258i
$248$	5.51681	+	0.751537i	0.350318	+	0.0477226i
$249$		−	18.1382i		−	1.14946i
$250$	11.1530	−	0.781975i	0.705375	−	0.0494564i
$251$	−17.6316	−	24.2678i	−1.11290	−	1.53177i	−0.817078	−	0.576527i	$-0.804407\pi$
$251$	−17.6316	−	24.2678i	−1.11290	−	1.53177i	−0.295819	−	0.955244i	$-0.595593\pi$
$252$	−0.771267	+	1.51370i	−0.0485852	+	0.0953539i
$253$	19.9422	−	19.9422i	1.25375	−	1.25375i
$254$	5.51812			0.346238
$255$	0.164076	−	0.674954i	0.0102748	−	0.0422673i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	8.13586	−	4.14543i	0.507501	−	0.258585i	−0.181440	−	0.983402i	$-0.558076\pi$
$257$	8.13586	−	4.14543i	0.507501	−	0.258585i	0.688941	+	0.724817i	$0.258076\pi$
$258$	7.48988	−	1.18628i	0.466300	−	0.0738546i
$259$	6.05219	+	18.6267i	0.376065	+	1.15741i
$260$	13.4727	+	5.62557i	0.835543	+	0.348883i
$261$	1.64080	+	2.25836i	0.101563	+	0.139789i
$262$	0.493295	−	0.251347i	0.0304759	−	0.0155282i
$263$	12.7530	+	2.01987i	0.786381	+	0.124550i	0.536695	−	0.843776i	$-0.319673\pi$
$263$	12.7530	+	2.01987i	0.786381	+	0.124550i	0.249686	+	0.968327i	$0.419673\pi$
$264$	−3.18292	−	4.38092i	−0.195895	−	0.269627i
$265$	15.3286	+	1.25031i	0.941631	+	0.0768060i
$266$	2.59779	−	1.88741i	0.159281	−	0.115724i
$267$	0.419578	+	2.64911i	0.0256777	+	0.162123i
$268$	8.82086	+	4.49445i	0.538820	+	0.274542i
$269$	8.77133	+	6.37274i	0.534797	+	0.388553i	0.822149	−	0.569272i	$-0.192775\pi$
$269$	8.77133	+	6.37274i	0.534797	+	0.388553i	−0.287352	+	0.957825i	$0.592775\pi$
$270$	−1.70445	+	1.44736i	−0.103729	+	0.0880837i
$271$	−11.9062	−	3.86855i	−0.723249	−	0.234998i	−0.0758179	−	0.997122i	$-0.524157\pi$
$271$	−11.9062	−	3.86855i	−0.723249	−	0.234998i	−0.647431	+	0.762124i	$0.724157\pi$
$272$	−0.276782	−	0.141027i	−0.0167824	−	0.00855104i
$273$	−7.84354	+	7.84354i	−0.474713	+	0.474713i
$274$	3.56102			0.215129
$275$	−19.0360	−	19.2540i	−1.14791	−	1.16106i
$276$	−4.21345	+	3.06125i	−0.253620	+	0.184265i
$277$	−32.2114	+	5.10179i	−1.93540	+	0.306537i	−0.999012	−	0.0444409i	$-0.985849\pi$
$277$	−32.2114	+	5.10179i	−1.93540	+	0.306537i	−0.936384	+	0.350977i	$0.885849\pi$
$278$	0.697207	+	0.697207i	0.0418157	+	0.0418157i
$279$	−4.43239	+	3.36956i	−0.265360	+	0.201730i
$280$	3.23332	+	1.99406i	0.193228	+	0.119168i
$281$	6.40011	+	4.64995i	0.381799	+	0.277393i	0.762087	−	0.647475i	$-0.224175\pi$
$281$	6.40011	+	4.64995i	0.381799	+	0.277393i	−0.380288	+	0.924868i	$0.624175\pi$
$282$	0.862384	−	5.44488i	0.0513542	−	0.324238i
$283$	−20.4801	−	10.4351i	−1.21741	−	0.620303i	−0.277175	−	0.960820i	$-0.589398\pi$
$283$	−20.4801	−	10.4351i	−1.21741	−	0.620303i	−0.940239	+	0.340516i	$0.889398\pi$
$284$			4.83952i			0.287173i
$285$	4.11245	−	0.974938i	0.243601	−	0.0577503i
$286$	−10.9259	−	33.6266i	−0.646065	−	1.98838i
$287$	9.43874	−	4.80928i	0.557151	−	0.283883i
$288$	0.453990	+	0.891007i	0.0267516	+	0.0525031i
$289$	9.93563	−	13.6752i	0.584449	−	0.804425i
$290$	5.33141	−	3.24625i	0.313071	−	0.190626i
$291$	7.24933	−	9.97785i	0.424963	−	0.584912i
$292$	−0.153469	+	0.968964i	−0.00898109	+	0.0567043i
$293$	13.2790	+	26.0614i	0.775765	+	1.52252i	0.850886	+	0.525350i	$0.176065\pi$
$293$	13.2790	+	26.0614i	0.775765	+	1.52252i	−0.0751218	+	0.997174i	$0.523935\pi$
$294$	3.32819	−	2.41807i	0.194104	−	0.141025i
$295$	−0.0778483	−	1.02651i	−0.00453250	−	0.0597658i
$296$	10.9642	+	3.56250i	0.637283	+	0.207066i
$297$	5.34845	+	0.847110i	0.310348	+	0.0491543i
$298$	−13.8132	+	2.18779i	−0.800174	+	0.126735i
$299$	−32.3411	+	10.5083i	−1.87034	+	0.607709i
$300$	2.91585	+	4.06175i	0.168346	+	0.234505i
$301$	12.2523	+	3.98103i	0.706213	+	0.229463i
$302$	9.99542	+	19.6171i	0.575172	+	1.12884i
$303$	−3.88585	+	7.62642i	−0.223236	+	0.438126i
$304$		−	1.89012i		−	0.108406i
$305$	−4.18809	+	6.79087i	−0.239809	+	0.388844i
$306$	0.295436	−	0.0959929i	0.0168889	−	0.00548755i
$307$	−26.0240	−	4.12180i	−1.48527	−	0.235244i	−0.639500	−	0.768791i	$-0.720859\pi$
$307$	−26.0240	−	4.12180i	−1.48527	−	0.235244i	−0.845770	+	0.533547i	$0.820859\pi$
$308$	−1.43912	−	9.08627i	−0.0820016	−	0.517738i
$309$	−1.56445			−0.0889983
$310$	6.70387	+	10.4909i	0.380755	+	0.595841i
$311$	−2.79984			−0.158764			−0.0793821	−	0.996844i	$-0.525295\pi$
$311$	−2.79984			−0.158764			−0.0793821	+	0.996844i	$0.525295\pi$
$312$	1.02141	+	6.44895i	0.0578262	+	0.365100i
$313$	33.8636	+	5.36346i	1.91408	+	0.303161i	0.995708	−	0.0925522i	$-0.0295025\pi$
$313$	33.8636	+	5.36346i	1.91408	+	0.303161i	0.918374	+	0.395713i	$0.129502\pi$
$314$	0.580484	−	0.188611i	0.0327586	−	0.0106439i
$315$	−3.69632	+	0.876285i	−0.208264	+	0.0493731i
$316$		−	0.478369i		−	0.0269103i
$317$	10.4460	−	20.5014i	0.586705	−	1.15147i	−0.386662	−	0.922221i	$-0.626372\pi$
$317$	10.4460	−	20.5014i	0.586705	−	1.15147i	0.973367	−	0.229252i	$-0.0736279\pi$
$318$	3.12252	+	6.12830i	0.175102	+	0.343658i
$319$	−14.3764	−	4.67117i	−0.804923	−	0.261535i
$320$	2.06829	−	0.849821i	0.115621	−	0.0475065i
$321$	5.96771	−	1.93903i	0.333085	−	0.108226i
$322$	−8.73892	+	1.38411i	−0.487001	+	0.0771333i
$323$	−0.579917	−	0.0918498i	−0.0322674	−	0.00511066i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	9.91143	+	31.1058i	0.549787	+	1.72544i
$326$	−13.2470	+	9.62450i	−0.733683	+	0.533052i
$327$	−0.902802	−	1.77185i	−0.0499251	−	0.0979835i
$328$	0.975456	−	6.15879i	0.0538606	−	0.340062i
$329$	5.50484	−	7.57676i	0.303492	−	0.417720i
$330$	2.86020	−	11.7659i	0.157449	−	0.647692i
$331$	−1.85506	+	2.55328i	−0.101964	+	0.140341i	−0.856950	−	0.515400i	$-0.827643\pi$
$331$	−1.85506	+	2.55328i	−0.101964	+	0.140341i	0.754986	+	0.655740i	$0.227643\pi$
$332$	−8.23455	−	16.1612i	−0.451930	−	0.886962i
$333$	−10.2720	+	5.23382i	−0.562900	+	0.286812i
$334$	−5.19654	−	15.9933i	−0.284342	−	0.875114i
$335$	5.10643	+	21.5398i	0.278994	+	1.17684i
$336$			1.69886i			0.0926805i
$337$	−10.2373	−	5.21616i	−0.557661	−	0.284142i	0.152358	−	0.988325i	$-0.451313\pi$
$337$	−10.2373	−	5.21616i	−0.557661	−	0.284142i	−0.710018	+	0.704183i	$0.751313\pi$
$338$	−4.63551	+	29.2674i	−0.252138	+	1.59194i
$339$	−13.0065	−	9.44976i	−0.706415	−	0.513241i
$340$	−0.160230	−	0.675878i	−0.00868970	−	0.0366546i
$341$	8.69290	−	28.8697i	0.470747	−	1.56338i
$342$	1.33652	+	1.33652i	0.0722705	+	0.0722705i
$343$	18.6485	−	2.95363i	1.00692	−	0.159481i
$344$	6.13497	−	4.45732i	0.330776	−	0.240323i
$345$	−11.3161	−	2.75086i	−0.609239	−	0.148101i
$346$	5.52088			0.296804
$347$	−22.8783	+	22.8783i	−1.22817	+	1.22817i	−0.263515	+	0.964655i	$0.584882\pi$
$347$	−22.8783	+	22.8783i	−1.22817	+	1.22817i	−0.964655	+	0.263515i	$0.915118\pi$
$348$	2.48723	+	1.26731i	0.133330	+	0.0679349i
$349$	0.0938496	+	0.0304936i	0.00502365	+	0.00163228i	0.311528	−	0.950237i	$-0.399159\pi$
$349$	0.0938496	+	0.0304936i	0.00502365	+	0.00163228i	−0.306504	+	0.951869i	$0.599159\pi$
$350$	1.28101	+	8.39716i	0.0684729	+	0.448847i
$351$	−5.28235	−	3.83785i	−0.281951	−	0.204849i
$352$	−4.82490	−	2.45841i	−0.257168	−	0.131034i
$353$	3.47748	+	21.9559i	0.185087	+	1.16860i	0.888863	+	0.458173i	$0.151496\pi$
$353$	3.47748	+	21.9559i	0.185087	+	1.16860i	−0.703776	+	0.710422i	$0.748504\pi$
$354$	0.372462	−	0.270609i	0.0197961	−	0.0143827i
$355$	−8.24870	+	7.00454i	−0.437796	+	0.371763i
$356$	1.57652	+	2.16989i	0.0835552	+	0.115004i
$357$	0.521236	+	0.0825557i	0.0275867	+	0.00436931i
$358$	6.88912	−	3.51018i	0.364102	−	0.185519i
$359$	−7.29077	−	10.0349i	−0.384792	−	0.529621i	0.572054	−	0.820216i	$-0.306147\pi$
$359$	−7.29077	−	10.0349i	−0.384792	−	0.529621i	−0.956846	+	0.290595i	$0.906147\pi$
$360$	−0.861584	+	2.06341i	−0.0454095	+	0.108751i
$361$	4.76734	+	14.6724i	0.250913	+	0.772230i
$362$	−16.1018	+	2.55028i	−0.846293	+	0.134040i
$363$	−16.3263	+	8.31868i	−0.856910	+	0.436617i
$364$	−3.42775	+	10.5495i	−0.179663	+	0.552946i
$365$	−1.87367	+	1.14086i	−0.0980725	+	0.0597155i
$366$	−3.56808			−0.186507
$367$	14.2543	−	14.2543i	0.744067	−	0.744067i	−0.229291	−	0.973358i	$-0.573641\pi$
$367$	14.2543	−	14.2543i	0.744067	−	0.744067i	0.973358	+	0.229291i	$0.0736408\pi$
$368$	−2.36443	+	4.64046i	−0.123254	+	0.241900i
$369$	3.66517	+	5.04467i	0.190801	+	0.262615i
$370$	9.79715	+	23.8442i	0.509330	+	1.23960i
$371$			11.6847i			0.606638i
$372$	−2.41954	+	5.01456i	−0.125447	+	0.259993i
$373$	−10.2165	+	10.2165i	−0.528991	+	0.528991i	−0.920272	−	0.391280i	$-0.872032\pi$
$373$	−10.2165	+	10.2165i	−0.528991	+	0.528991i	0.391280	+	0.920272i	$0.372032\pi$
$374$	−0.988742	+	1.36089i	−0.0511266	+	0.0703698i
$375$	−2.70275	+	10.8487i	−0.139570	+	0.560226i
$376$	−1.70353	−	5.24293i	−0.0878530	−	0.270384i
$377$	12.8881	+	12.8881i	0.663772	+	0.663772i
$378$	−1.20128	−	1.20128i	−0.0617870	−	0.0617870i
$379$	−11.7468	+	3.81678i	−0.603395	+	0.196055i	−0.594754	−	0.803908i	$-0.702751\pi$
$379$	−11.7468	+	3.81678i	−0.603395	+	0.196055i	−0.00864093	+	0.999963i	$0.502751\pi$
$380$	3.22161	−	2.73569i	0.165265	−	0.140338i
$381$	−1.70519	+	5.24805i	−0.0873597	+	0.268866i
$382$	−0.211035	−	1.33242i	−0.0107975	−	0.0681727i
$383$	−0.796086	+	1.56241i	−0.0406781	+	0.0798352i	−0.910451	−	0.413617i	$-0.864265\pi$
$383$	−0.796086	+	1.56241i	−0.0406781	+	0.0798352i	0.869773	+	0.493452i	$0.164265\pi$
$384$	0.809017	+	0.587785i	0.0412850	+	0.0299953i
$385$	13.4041	−	15.6040i	0.683137	−	0.795255i
$386$	7.14163	−	21.9797i	0.363500	−	1.11874i
$387$	−1.18628	+	7.48988i	−0.0603020	+	0.380732i
$388$	1.92935	−	12.1815i	0.0979481	−	0.618420i
$389$	7.54617	−	23.2247i	0.382606	−	1.17754i	−0.555596	−	0.831452i	$-0.687510\pi$
$389$	7.54617	−	23.2247i	0.382606	−	1.17754i	0.938202	−	0.346088i	$-0.112490\pi$
$390$	−9.51354	+	11.0749i	−0.481737	+	0.560800i
$391$	1.30886	+	0.950944i	0.0661920	+	0.0480913i
$392$	1.86766	−	3.66549i	0.0943310	−	0.185135i
$393$	0.0866081	+	0.546822i	0.00436880	+	0.0275835i
$394$	1.19222	−	3.66927i	0.0600631	−	0.184855i
$395$	0.815354	−	0.692373i	0.0410249	−	0.0348371i
$396$	5.15008	−	1.67336i	0.258801	−	0.0840896i
$397$	−12.4933	−	12.4933i	−0.627023	−	0.627023i	0.320295	−	0.947318i	$-0.396218\pi$
$397$	−12.4933	−	12.4933i	−0.627023	−	0.627023i	−0.947318	+	0.320295i	$0.896218\pi$
$398$	−6.36510	−	6.36510i	−0.319054	−	0.319054i
$399$	0.992269	+	3.05389i	0.0496756	+	0.152886i
$400$	4.44204	+	2.29528i	0.222102	+	0.114764i
$401$	−22.4669	+	30.9230i	−1.12194	+	1.54422i	−0.319407	+	0.947618i	$0.603484\pi$
$401$	−22.4669	+	30.9230i	−1.12194	+	1.54422i	−0.802535	+	0.596604i	$0.796516\pi$
$402$	−7.00027	+	7.00027i	−0.349142	+	0.349142i
$403$	−25.1426	+	26.2574i	−1.25244	+	1.30797i
$404$			8.55933i			0.425842i
$405$	−0.849821	−	2.06829i	−0.0422280	−	0.102774i
$406$	2.78748	+	3.83664i	0.138340	+	0.190409i
$407$	28.3417	−	55.6238i	1.40485	−	2.75717i
$408$	0.219655	−	0.219655i	0.0108746	−	0.0108746i
$409$	−24.9104			−1.23174			−0.615869	−	0.787848i	$-0.711195\pi$
$409$	−24.9104			−1.23174			−0.615869	+	0.787848i	$0.711195\pi$
$410$	11.9092	−	7.25139i	0.588152	−	0.358121i
$411$	−1.10041	+	3.38673i	−0.0542795	+	0.167055i
$412$	−1.39393	+	0.710244i	−0.0686741	+	0.0349912i
$413$	0.772506	−	0.122353i	0.0380125	−	0.00602059i
$414$	−1.60939	−	4.95320i	−0.0790974	−	0.243437i
$415$	15.6275	−	37.4265i	0.767126	−	1.83720i
$416$	3.83785	+	5.28235i	0.188166	+	0.258988i
$417$	−0.878532	+	0.447635i	−0.0430219	+	0.0219208i
$418$	−10.1092	−	1.60114i	−0.494457	−	0.0783143i
$419$	−17.1117	−	23.5522i	−0.835961	−	1.15060i	−0.986784	−	0.162041i	$-0.948192\pi$
$419$	−17.1117	−	23.5522i	−0.835961	−	1.15060i	0.150823	−	0.988561i	$-0.451808\pi$
$420$	−2.89562	+	2.45887i	−0.141292	+	0.119981i
$421$	12.5319	−	9.10498i	0.610769	−	0.443750i	−0.238916	−	0.971040i	$-0.576792\pi$
$421$	12.5319	−	9.10498i	0.610769	−	0.443750i	0.849685	+	0.527291i	$0.176792\pi$
$422$	−1.09917	−	6.93987i	−0.0535066	−	0.337827i
$423$	4.91189	+	2.50273i	0.238824	+	0.121687i
$424$	5.56438	+	4.04276i	0.270230	+	0.196334i
$425$	0.920086	−	1.25134i	0.0446307	−	0.0606991i
$426$	−4.60266	−	1.49549i	−0.222999	−	0.0724569i
$427$	−5.40099	−	2.75194i	−0.261372	−	0.133176i
$428$	4.43697	−	4.43697i	0.214469	−	0.214469i
$429$	35.3571			1.70706
$430$	16.4768	+	4.00538i	0.794582	+	0.193156i
$431$	0.234767	−	0.170568i	0.0113083	−	0.00821599i	−0.582117	−	0.813105i	$-0.697775\pi$
$431$	0.234767	−	0.170568i	0.0113083	−	0.00821599i	0.593425	+	0.804889i	$0.297775\pi$
$432$	−0.987688	+	0.156434i	−0.0475202	+	0.00752646i
$433$	8.68406	+	8.68406i	0.417329	+	0.417329i	0.884282	−	0.466953i	$-0.154648\pi$
$433$	8.68406	+	8.68406i	0.417329	+	0.417329i	−0.466953	+	0.884282i	$0.654648\pi$
$434$	−7.53002	+	5.72441i	−0.361452	+	0.274780i
$435$	1.43987	+	6.07361i	0.0690365	+	0.291208i
$436$	−1.60881	−	1.16887i	−0.0770478	−	0.0559785i
$437$	−1.53993	+	9.72275i	−0.0736649	+	0.465102i
$438$	−0.874115	−	0.445384i	−0.0417668	−	0.0212813i
$439$			18.1658i			0.867004i	0.901153	+	0.433502i	$0.142722\pi$
$439$			18.1658i			0.867004i	−0.901153	+	0.433502i	$0.857278\pi$
$440$	−2.79316	−	11.7820i	−0.133159	−	0.561685i
$441$	1.27126	+	3.91252i	0.0605360	+	0.186311i
$442$	1.80720	−	0.920815i	0.0859598	−	0.0437987i
$443$	−7.17963	−	14.0908i	−0.341115	−	0.669475i	0.655181	−	0.755472i	$-0.272592\pi$
$443$	−7.17963	−	14.0908i	−0.341115	−	0.669475i	−0.996295	+	0.0859971i	$0.972592\pi$
$444$	−6.77627	+	9.32674i	−0.321588	+	0.442627i
$445$	−1.41667	+	5.82771i	−0.0671565	+	0.276260i
$446$	7.28338	−	10.0247i	0.344878	−	0.474684i
$447$	2.18779	−	13.8132i	0.103479	−	0.653340i
$448$	0.771267	+	1.51370i	0.0364389	+	0.0715154i
$449$	26.3809	−	19.1668i	1.24499	−	0.904539i	0.247071	−	0.968997i	$-0.420532\pi$
$449$	26.3809	−	19.1668i	1.24499	−	0.904539i	0.997920	+	0.0644586i	$0.0205320\pi$
$450$	−4.76400	+	1.51798i	−0.224577	+	0.0715585i
$451$	−32.1136	−	10.4343i	−1.51217	−	0.491334i
$452$	−15.8790	−	2.51498i	−0.746883	−	0.118295i
$453$	−21.7457	+	3.44419i	−1.02170	+	0.161822i
$454$	−10.7873	+	3.50501i	−0.506274	+	0.164498i
$455$	−22.9423	+	9.42659i	−1.07555	+	0.441925i
$456$	1.79761	+	0.584079i	0.0841808	+	0.0273520i
$457$	−16.7585	−	32.8904i	−0.783930	−	1.53855i	−0.841530	−	0.540210i	$-0.818345\pi$
$457$	−16.7585	−	32.8904i	−0.783930	−	1.53855i	0.0575997	−	0.998340i	$-0.481655\pi$
$458$	9.54304	−	18.7293i	0.445917	−	0.875162i
$459$			0.310639i			0.0144994i
$460$	−11.3316	+	2.68638i	−0.528339	+	0.125253i
$461$	20.0478	−	6.51392i	0.933719	−	0.303384i	0.197636	−	0.980275i	$-0.436674\pi$
$461$	20.0478	−	6.51392i	0.933719	−	0.303384i	0.736082	+	0.676892i	$0.236674\pi$
$462$	9.08627	+	1.43912i	0.422731	+	0.0669541i
$463$	5.70337	+	36.0096i	0.265058	+	1.67351i	0.657286	+	0.753641i	$0.271704\pi$
$463$	5.70337	+	36.0096i	0.265058	+	1.67351i	−0.392228	+	0.919868i	$0.628296\pi$
$464$	2.79149			0.129592
$465$	−12.0490	+	3.13391i	−0.558759	+	0.145332i
$466$	−5.80201			−0.268773
$467$	6.22912	+	39.3291i	0.288250	+	1.81994i	0.528165	+	0.849142i	$0.322880\pi$
$467$	6.22912	+	39.3291i	0.288250	+	1.81994i	−0.239915	+	0.970794i	$0.577120\pi$
$468$	−6.44895	−	1.02141i	−0.298103	−	0.0472149i
$469$	−15.9954	+	5.19721i	−0.738597	+	0.239985i
$470$	6.47067	−	10.4920i	0.298470	−	0.483960i
$471$			0.610357i			0.0281238i
$472$	0.209012	−	0.410209i	0.00962054	−	0.0188814i
$473$	−18.6427	−	36.5884i	−0.857193	−	1.68234i
$474$	0.454956	+	0.147824i	0.0208968	+	0.00678978i
$475$	9.32568	+	1.53152i	0.427891	+	0.0702711i
$476$	0.501904	−	0.163079i	0.0230047	−	0.00747469i
$477$	−6.79327	+	1.07595i	−0.311042	+	0.0492643i
$478$	−5.27068	−	0.834794i	−0.241075	−	0.0381826i
$479$	−20.5657	−	6.68220i	−0.939671	−	0.305317i	−0.201159	−	0.979559i	$-0.564471\pi$
$479$	−20.5657	−	6.68220i	−0.939671	−	0.305317i	−0.738511	+	0.674241i	$0.764471\pi$
$480$	0.169093	+	2.22967i	0.00771800	+	0.101770i
$481$	−60.8974	+	44.2446i	−2.77668	+	2.01738i
$482$	8.65709	+	16.9905i	0.394320	+	0.773896i
$483$	1.38411	−	8.73892i	0.0629791	−	0.397634i
$484$	−10.7703	+	14.8240i	−0.489557	+	0.673818i
$485$	23.5551	−	14.3425i	1.06958	−	0.651260i
$486$	0.587785	−	0.809017i	0.0266625	−	0.0366978i
$487$	10.7143	+	21.0281i	0.485513	+	0.952872i	0.995685	+	0.0927999i	$0.0295817\pi$
$487$	10.7143	+	21.0281i	0.485513	+	0.952872i	−0.510172	+	0.860072i	$0.670418\pi$
$488$	−3.17919	+	1.61988i	−0.143915	+	0.0733283i
$489$	−5.05990	−	15.5728i	−0.228817	−	0.704225i
$490$	8.95081	−	2.12197i	0.404356	−	0.0958607i
$491$			9.22739i			0.416426i	0.978083	+	0.208213i	$0.0667648\pi$
$491$			9.22739i			0.416426i	−0.978083	+	0.208213i	$0.933235\pi$
$492$	5.55592	+	2.83088i	0.250480	+	0.127626i
$493$	0.135652	−	0.856470i	0.00610944	−	0.0385735i
$494$	9.98427	+	7.25399i	0.449213	+	0.326373i
$495$	10.3062	+	6.35607i	0.463229	+	0.285684i
$496$	0.120735	+	5.56646i	0.00542117	+	0.249941i
$497$	−5.81360	−	5.81360i	−0.260776	−	0.260776i
$498$	17.9148	−	2.83743i	0.802783	−	0.127148i
$499$	−19.9280	+	14.4786i	−0.892102	+	0.648150i	−0.936425	−	0.350867i	$-0.885887\pi$
$499$	−19.9280	+	14.4786i	−0.892102	+	0.648150i	0.0443235	+	0.999017i	$0.485887\pi$
$500$	2.51705	+	10.8933i	0.112566	+	0.487164i
$501$	16.8163			0.751299
$502$	21.2109	−	21.2109i	0.946687	−	0.946687i
$503$	9.03361	+	4.60286i	0.402789	+	0.205231i	0.643636	−	0.765332i	$-0.277425\pi$
$503$	9.03361	+	4.60286i	0.402789	+	0.205231i	−0.240847	+	0.970563i	$0.577425\pi$
$504$	−1.61571	−	0.524977i	−0.0719696	−	0.0233843i
$505$	−14.5889	+	12.3885i	−0.649198	+	0.551279i
$506$	22.8163	+	16.5770i	1.01431	+	0.736938i
$507$	−26.4025	−	13.4528i	−1.17258	−	0.597458i
$508$	0.863224	+	5.45018i	0.0382994	+	0.241813i
$509$	−26.6285	+	19.3468i	−1.18029	+	0.857530i	−0.992204	−	0.124622i	$-0.960228\pi$
$509$	−26.6285	+	19.3468i	−1.18029	+	0.857530i	−0.188085	+	0.982153i	$0.560228\pi$
$510$	0.692312	+	0.0564697i	0.0306561	+	0.00250052i
$511$	−0.979635	−	1.34835i	−0.0433365	−	0.0596476i
$512$	0.987688	+	0.156434i	0.0436501	+	0.00691349i
$513$	−1.68411	+	0.858096i	−0.0743552	+	0.0378859i
$514$	5.36712	+	7.38721i	0.236734	+	0.325836i
$515$	−3.22810	−	1.34790i	−0.142247	−	0.0593957i
$516$	2.34335	+	7.21209i	0.103160	+	0.317495i
$517$	−29.4846	+	4.66991i	−1.29673	+	0.205382i
$518$	−17.4506	+	8.89154i	−0.766736	+	0.390672i
$519$	−1.70605	+	5.25067i	−0.0748871	+	0.230479i
$520$	−3.44872	+	14.1869i	−0.151236	+	0.622136i
$521$	−19.9555			−0.874265			−0.437133	−	0.899397i	$-0.644006\pi$
$521$	−19.9555			−0.874265			−0.437133	+	0.899397i	$0.644006\pi$
$522$	−1.97388	+	1.97388i	−0.0863944	+	0.0863944i
$523$	−14.7071	+	28.8643i	−0.643097	+	1.26215i	0.307448	+	0.951565i	$0.400525\pi$
$523$	−14.7071	+	28.8643i	−0.643097	+	1.26215i	−0.950546	+	0.310585i	$0.899475\pi$
$524$	0.325420	+	0.447903i	0.0142161	+	0.0195667i
$525$	−8.38202	−	1.37655i	−0.365822	−	0.0600776i
$526$			12.9119i			0.562986i
$527$	1.71374	+	0.233457i	0.0746516	+	0.0101695i
$528$	3.82906	−	3.82906i	0.166639	−	0.166639i
$529$	2.42424	−	3.33668i	0.105402	−	0.145073i
$530$	1.16301	+	15.3355i	0.0505180	+	0.666132i
$531$	0.142268	+	0.437855i	0.00617389	+	0.0190013i
$532$	2.27056	+	2.27056i	0.0984411	+	0.0984411i
$533$	28.7892	+	28.7892i	1.24700	+	1.24700i
$534$	−2.55086	+	0.828824i	−0.110386	+	0.0358667i
$535$	13.9845	+	1.14067i	0.604602	+	0.0493155i
$536$	−3.05923	+	9.41535i	−0.132139	+	0.406681i
$537$	1.20953	+	7.63665i	0.0521949	+	0.329546i
$538$	−4.92214	+	9.66025i	−0.212209	+	0.416483i
$539$	−18.0225	−	13.0941i	−0.776286	−	0.564005i
$540$	−1.69618	−	1.45704i	−0.0729919	−	0.0627012i
$541$	8.41454	−	25.8973i	0.361769	−	1.11341i	−0.590210	−	0.807250i	$-0.700955\pi$
$541$	8.41454	−	25.8973i	0.361769	−	1.11341i	0.951979	−	0.306162i	$-0.0990450\pi$
$542$	1.95839	−	12.3648i	0.0841200	−	0.531113i
$543$	2.55028	−	16.1018i	0.109443	−	0.690996i
$544$	0.0959929	−	0.295436i	0.00411566	−	0.0126667i
$545$	−0.336257	−	4.43390i	−0.0144037	−	0.189927i
$546$	−8.97397	−	6.51997i	−0.384051	−	0.279029i
$547$	15.7757	−	30.9615i	0.674518	−	1.32382i	−0.259205	−	0.965822i	$-0.583461\pi$
$547$	15.7757	−	30.9615i	0.674518	−	1.32382i	0.933724	−	0.357995i	$-0.116539\pi$
$548$	0.557066	+	3.51718i	0.0237967	+	0.150246i
$549$	1.10260	−	3.39345i	0.0470578	−	0.144829i
$550$	16.0391	−	21.8136i	0.683909	−	0.930136i
$551$	5.01801	−	1.63045i	0.213774	−	0.0694595i
$552$	−3.68269	−	3.68269i	−0.156746	−	0.156746i
$553$	0.574653	+	0.574653i	0.0244367	+	0.0244367i
$554$	−10.0779	−	31.0167i	−0.428171	−	1.31777i
$555$	−25.7047	+	1.94938i	−1.09110	+	0.0827468i
$556$	−0.579556	+	0.797691i	−0.0245787	+	0.0338296i
$557$	1.49678	−	1.49678i	0.0634205	−	0.0634205i	−0.674685	−	0.738106i	$-0.735721\pi$
$557$	1.49678	−	1.49678i	0.0634205	−	0.0634205i	0.738106	+	0.674685i	$0.235721\pi$
$558$	−4.02145	−	3.85071i	−0.170242	−	0.163013i
$559$			49.5136i			2.09420i
$560$	−1.46371	+	3.50545i	−0.0618531	+	0.148132i
$561$	−0.988742	−	1.36089i	−0.0417447	−	0.0574567i
$562$	−3.59151	+	7.04873i	−0.151499	+	0.297333i
$563$	18.0478	−	18.0478i	0.760625	−	0.760625i	−0.215810	−	0.976435i	$-0.569239\pi$
$563$	18.0478	−	18.0478i	0.760625	−	0.760625i	0.976435	+	0.215810i	$0.0692392\pi$
$564$	5.51275			0.232129
$565$	−18.6960	−	30.7049i	−0.786546	−	1.29177i
$566$	7.10285	−	21.8603i	0.298555	−	0.918858i
$567$	1.51370	−	0.771267i	0.0635693	−	0.0323902i
$568$	−4.77994	+	0.757068i	−0.200562	+	0.0317659i
$569$	−1.99691	−	6.14587i	−0.0837150	−	0.257648i	0.900434	−	0.434993i	$-0.143249\pi$
$569$	−1.99691	−	6.14587i	−0.0837150	−	0.257648i	−0.984149	+	0.177345i	$0.943249\pi$
$570$	1.60626	+	3.90931i	0.0672790	+	0.163743i
$571$	15.0363	+	20.6957i	0.629251	+	0.866089i	0.997985	−	0.0634455i	$-0.0202089\pi$
$571$	15.0363	+	20.6957i	0.629251	+	0.866089i	−0.368735	+	0.929535i	$0.620209\pi$
$572$	31.5034	−	16.0518i	1.31722	−	0.671159i
$573$	1.33242	+	0.211035i	0.0556628	+	0.00881612i
$574$	6.22661	+	8.57020i	0.259894	+	0.357713i
$575$	−20.9797	−	15.4259i	−0.874915	−	0.643306i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	−1.41597	−	8.94011i	−0.0589478	−	0.372182i	−0.999473	−	0.0324581i	$-0.989666\pi$
$577$	−1.41597	−	8.94011i	−0.0589478	−	0.372182i	0.940525	−	0.339724i	$-0.110334\pi$
$578$	15.0611	+	7.67403i	0.626460	+	0.319198i
$579$	18.6970	+	13.5842i	0.777023	+	0.564540i
$580$	4.04030	+	4.75794i	0.167764	+	0.197563i
$581$	29.3061	+	9.52211i	1.21582	+	0.395044i
$582$	10.9891	+	5.59920i	0.455511	+	0.232094i
$583$	26.3361	−	26.3361i	1.09073	−	1.09073i
$584$	−0.981042			−0.0405958
$585$	−7.59303	−	12.4703i	−0.313933	−	0.515581i
$586$	−23.6633	+	17.1924i	−0.977521	+	0.710210i
$587$	−12.1966	+	1.93175i	−0.503407	+	0.0797318i	−0.402973	−	0.915212i	$-0.632023\pi$
$587$	−12.1966	+	1.93175i	−0.503407	+	0.0797318i	−0.100434	+	0.994944i	$0.532023\pi$
$588$	2.90895	+	2.90895i	0.119963	+	0.119963i
$589$	3.46829	+	9.93580i	0.142908	+	0.409398i
$590$	1.00169	−	0.237472i	0.0412391	−	0.00977655i
$591$	3.12127	+	2.26773i	0.128392	+	0.0932821i
$592$	−1.80345	+	11.3865i	−0.0741214	+	0.467984i
$593$	−18.6109	−	9.48273i	−0.764258	−	0.389409i	0.0279897	−	0.999608i	$-0.491089\pi$
$593$	−18.6109	−	9.48273i	−0.764258	−	0.389409i	−0.792248	+	0.610199i	$0.791089\pi$
$594$			5.41511i			0.222185i
$595$	1.00440	+	0.619435i	0.0411762	+	0.0253944i
$596$	−4.32171	−	13.3008i	−0.177024	−	0.544824i
$597$	8.02050	−	4.08665i	0.328257	−	0.167255i
$598$	−15.4382	−	30.2991i	−0.631314	−	1.23902i
$599$	21.5674	−	29.6849i	0.881218	−	1.21289i	−0.0948637	−	0.995490i	$-0.530242\pi$
$599$	21.5674	−	29.6849i	0.881218	−	1.21289i	0.976082	−	0.217403i	$-0.0697585\pi$
$600$	−3.55561	+	3.51535i	−0.145157	+	0.143513i
$601$	15.7836	−	21.7242i	0.643825	−	0.886149i	−0.354987	−	0.934871i	$-0.615515\pi$
$601$	15.7836	−	21.7242i	0.643825	−	0.886149i	0.998812	+	0.0487217i	$0.0155148\pi$
$602$	−2.01533	+	12.7243i	−0.0821386	+	0.518602i
$603$	−4.49445	−	8.82086i	−0.183028	−	0.359213i
$604$	−17.8120	+	12.9412i	−0.724759	+	0.526568i
$605$	−40.8552	+	3.09837i	−1.66100	+	0.125967i
$606$	−8.14040	−	2.64498i	−0.330681	−	0.107445i
$607$	34.8212	+	5.51513i	1.41335	+	0.223852i	0.815964	−	0.578103i	$-0.196207\pi$
$607$	34.8212	+	5.51513i	1.41335	+	0.223852i	0.597384	+	0.801955i	$0.296207\pi$
$608$	1.86685	−	0.295680i	0.0757107	−	0.0119914i
$609$	−4.51024	+	1.46547i	−0.182764	+	0.0593837i
$610$	−7.36243	−	3.07420i	−0.298096	−	0.124471i
$611$	34.2329	+	11.1229i	1.38491	+	0.449986i
$612$	0.141027	+	0.276782i	0.00570069	+	0.0111882i
$613$	−7.27178	+	14.2717i	−0.293704	+	0.576427i	−0.989957	−	0.141370i	$-0.954849\pi$
$613$	−7.27178	+	14.2717i	−0.293704	+	0.576427i	0.696253	+	0.717797i	$0.254849\pi$
$614$		−	26.3484i		−	1.06334i
$615$	3.21635	+	13.5671i	0.129696	+	0.547078i
$616$	8.74927	−	2.84281i	0.352518	−	0.114540i
$617$	−31.2780	−	4.95396i	−1.25921	−	0.199439i	−0.509072	−	0.860724i	$-0.670011\pi$
$617$	−31.2780	−	4.95396i	−1.25921	−	0.199439i	−0.750135	+	0.661285i	$0.770011\pi$
$618$	−0.244734	−	1.54519i	−0.00984463	−	0.0621565i
$619$	26.8599			1.07959			0.539795	−	0.841797i	$-0.318502\pi$
$619$	26.8599			1.07959			0.539795	+	0.841797i	$0.318502\pi$
$620$	−9.31298	+	8.26247i	−0.374018	+	0.331829i
$621$	5.20811			0.208994
$622$	−0.437991	−	2.76537i	−0.0175618	−	0.110881i
$623$	−4.50047	−	0.712804i	−0.180308	−	0.0285579i
$624$	−6.20977	+	2.01768i	−0.248590	+	0.0807717i
$625$	−14.9240	+	20.0568i	−0.596960	+	0.802271i
$626$			34.2857i			1.37033i
$627$	4.64669	−	9.11964i	0.185571	−	0.364203i
$628$	0.277096	+	0.543832i	0.0110573	+	0.0217013i
$629$	3.40592	+	1.10665i	0.135803	+	0.0441251i
$630$	−1.44373	−	3.51373i	−0.0575195	−	0.139990i
$631$	−22.3782	+	7.27110i	−0.890860	+	0.289458i	−0.718459	−	0.695569i	$-0.755152\pi$
$631$	−22.3782	+	7.27110i	−0.890860	+	0.289458i	−0.172401	+	0.985027i	$0.555152\pi$
$632$	0.472479	−	0.0748333i	0.0187942	−	0.00297671i
$633$	6.93987	+	1.09917i	0.275835	+	0.0436880i
$634$	21.8831	+	7.11025i	0.869089	+	0.282384i
$635$	−8.04015	+	9.35972i	−0.319064	+	0.371429i
$636$	−5.56438	+	4.04276i	−0.220642	+	0.160306i
$637$	12.1946	+	23.9332i	0.483167	+	0.948268i
$638$	2.36470	−	14.9301i	0.0936193	−	0.591089i
$639$	2.84460	−	3.91525i	0.112531	−	0.154885i
$640$	1.16291	+	1.90988i	0.0459680	+	0.0754946i
$641$	4.70533	−	6.47633i	0.185849	−	0.255800i	−0.705918	−	0.708293i	$-0.749465\pi$
$641$	4.70533	−	6.47633i	0.185849	−	0.255800i	0.891768	+	0.452494i	$0.149465\pi$
$642$	2.84871	+	5.59091i	0.112430	+	0.220656i
$643$	32.1957	−	16.4045i	1.26967	−	0.646932i	0.316282	−	0.948665i	$-0.397565\pi$
$643$	32.1957	−	16.4045i	1.26967	−	0.646932i	0.953392	+	0.301734i	$0.0975653\pi$
$644$	−2.73414	−	8.41480i	−0.107740	−	0.331590i
$645$	−8.90095	+	14.4326i	−0.350475	+	0.568285i
$646$		−	0.587146i		−	0.0231009i
$647$	17.3173	+	8.82361i	0.680814	+	0.346892i	0.759959	−	0.649971i	$-0.225219\pi$
$647$	17.3173	+	8.82361i	0.680814	+	0.346892i	−0.0791451	+	0.996863i	$0.525219\pi$
$648$	0.156434	−	0.987688i	0.00614533	−	0.0388001i
$649$	−2.01692	−	1.46538i	−0.0791711	−	0.0575212i
$650$	−29.1723	+	14.6554i	−1.14423	+	0.574833i
$651$	−3.11733	−	8.93041i	−0.122178	−	0.350010i
$652$	−11.5783	−	11.5783i	−0.453441	−	0.453441i
$653$	26.1910	−	4.14824i	1.02493	−	0.162333i	0.378736	−	0.925505i	$-0.376359\pi$
$653$	26.1910	−	4.14824i	1.02493	−	0.162333i	0.646196	+	0.763172i	$0.276359\pi$
$654$	1.60881	−	1.16887i	0.0629093	−	0.0457063i
$655$	−0.292425	+	1.20294i	−0.0114260	+	0.0470028i
$656$	6.23556			0.243458
$657$	0.693702	−	0.693702i	0.0270639	−	0.0270639i
$658$	8.34462	+	4.25180i	0.325307	+	0.165752i
$659$	33.2882	+	10.8160i	1.29673	+	0.421332i	0.874441	−	0.485132i	$-0.161228\pi$
$659$	33.2882	+	10.8160i	1.29673	+	0.421332i	0.422284	+	0.906463i	$0.361228\pi$
$660$	12.0685	+	0.984389i	0.469765	+	0.0383173i
$661$	−0.156019	−	0.113354i	−0.00606844	−	0.00440898i	0.584747	−	0.811216i	$-0.301194\pi$
$661$	−0.156019	−	0.113354i	−0.00606844	−	0.00440898i	−0.590815	+	0.806807i	$0.701194\pi$
$662$	−2.81204	−	1.43280i	−0.109293	−	0.0556875i
$663$	0.317291	+	2.00330i	0.0123226	+	0.0778017i
$664$	14.6741	−	10.6613i	0.569465	−	0.413740i
$665$	−0.583722	+	7.15636i	−0.0226358	+	0.277512i
$666$	−6.77627	−	9.32674i	−0.262575	−	0.361404i
$667$	−14.3594	−	2.27430i	−0.555997	−	0.0880613i
$668$	14.9835	−	7.63446i	0.579728	−	0.295386i
$669$	7.28338	+	10.0247i	0.281592	+	0.387578i
$670$	−20.4758	+	8.41313i	−0.791048	+	0.325028i
$671$	5.97070	+	18.3759i	0.230496	+	0.709394i
$672$	−1.67795	+	0.265760i	−0.0647281	+	0.0102519i
$673$	−7.68002	+	3.91316i	−0.296043	+	0.150841i	−0.595703	−	0.803205i	$-0.703127\pi$
$673$	−7.68002	+	3.91316i	−0.296043	+	0.150841i	0.299660	+	0.954046i	$0.403127\pi$
$674$	3.55048	−	10.9272i	0.136759	−	0.420902i
$675$	0.0284689	−	4.99992i	0.00109577	−	0.192447i
$676$	−29.6323			−1.13970
$677$	3.03736	−	3.03736i	0.116735	−	0.116735i	−0.646326	−	0.763061i	$-0.723695\pi$
$677$	3.03736	−	3.03736i	0.116735	−	0.116735i	0.763061	+	0.646326i	$0.223695\pi$
$678$	7.29876	−	14.3246i	0.280307	−	0.550134i
$679$	12.3156	+	16.9510i	0.472630	+	0.650519i
$680$	0.642491	−	0.263988i	0.0246384	−	0.0101235i
$681$		−	11.3425i		−	0.434644i
$682$	29.8742	+	4.06966i	1.14394	+	0.155835i
$683$	−3.22457	+	3.22457i	−0.123385	+	0.123385i	−0.766103	−	0.642718i	$-0.777807\pi$
$683$	−3.22457	+	3.22457i	−0.123385	+	0.123385i	0.642718	+	0.766103i	$0.277807\pi$
$684$	−1.11098	+	1.52914i	−0.0424796	+	0.0584681i
$685$	−5.18856	+	6.04012i	−0.198245	+	0.230781i
$686$	5.83453	+	17.9568i	0.222763	+	0.685595i
$687$	14.8636	+	14.8636i	0.567083	+	0.567083i
$688$	5.36216	+	5.36216i	0.204431	+	0.204431i
$689$	−42.7105	+	13.8775i	−1.62714	+	0.528690i
$690$	0.946758	−	11.6071i	0.0360424	−	0.441876i
$691$	−0.231881	+	0.713655i	−0.00882115	+	0.0271487i	−0.955370	−	0.295411i	$-0.904543\pi$
$691$	−0.231881	+	0.713655i	−0.00882115	+	0.0271487i	0.946549	+	0.322560i	$0.104543\pi$
$692$	0.863656	+	5.45291i	0.0328313	+	0.207288i
$693$	−4.17650	+	8.19684i	−0.158652	+	0.311372i
$694$	−26.1756	−	19.0177i	−0.993611	−	0.721900i
$695$	−2.19845	+	0.166726i	−0.0833920	+	0.00632426i
$696$	−0.862617	+	2.65486i	−0.0326974	+	0.100632i
$697$	0.303015	−	1.91316i	0.0114775	−	0.0724662i
$698$	−0.0154368	+	0.0974644i	−0.000584293	+	0.00368908i
$699$	1.79292	−	5.51804i	0.0678144	−	0.208711i
$700$	−8.09338	+	2.57884i	−0.305901	+	0.0974712i
$701$	−18.5028	−	13.4430i	−0.698839	−	0.507736i	0.180715	−	0.983536i	$-0.442159\pi$
$701$	−18.5028	−	13.4430i	−0.698839	−	0.507736i	−0.879554	+	0.475799i	$0.842159\pi$
$702$	2.96426	−	5.81768i	0.111879	−	0.219574i
$703$	3.40874	+	21.5219i	0.128563	+	0.811715i
$704$	1.67336	−	5.15008i	0.0630672	−	0.194101i
$705$	7.97895	+	9.39618i	0.300505	+	0.353881i
$706$	−21.1416	+	6.86932i	−0.795675	+	0.258530i
$707$	−10.2821	−	10.2821i	−0.386699	−	0.386699i
$708$	0.325543	+	0.325543i	0.0122347	+	0.0122347i
$709$	14.9554	+	46.0279i	0.561661	+	1.72862i	0.677669	+	0.735367i	$0.262990\pi$
$709$	14.9554	+	46.0279i	0.561661	+	1.72862i	−0.116008	+	0.993248i	$0.537010\pi$
$710$	−8.20869	−	7.05140i	−0.308067	−	0.264634i
$711$	−0.281178	+	0.387008i	−0.0105450	+	0.0145139i
$712$	−1.89655	+	1.89655i	−0.0710763	+	0.0710763i
$713$	3.91408	−	28.7321i	0.146584	−	1.07603i
$714$			0.527733i			0.0197499i
$715$	72.9563	+	30.4631i	2.72841	+	1.13926i
$716$	4.54466	+	6.25519i	0.169842	+	0.233768i
$717$	2.42267	−	4.75475i	0.0904761	−	0.177569i
$718$	8.77081	−	8.77081i	0.327324	−	0.327324i
$719$	34.8292			1.29891			0.649456	−	0.760399i	$-0.274997\pi$
$719$	34.8292			1.29891			0.649456	+	0.760399i	$0.274997\pi$
$720$	−2.17279	−	0.528188i	−0.0809751	−	0.0196844i
$721$	0.821299	−	2.52770i	0.0305868	−	0.0941364i
$722$	−13.7460	+	7.00391i	−0.511572	+	0.260659i
$723$	−18.8341	+	2.98303i	−0.700448	+	0.110940i
$724$	−5.03776	−	15.5046i	−0.187227	−	0.576225i
$725$	−2.26188	+	13.7729i	−0.0840042	+	0.511514i
$726$	−10.7703	−	14.8240i	−0.399722	−	0.550170i
$727$	12.9376	−	6.59206i	0.479831	−	0.244486i	−0.197308	−	0.980342i	$-0.563220\pi$
$727$	12.9376	−	6.59206i	0.479831	−	0.244486i	0.677138	+	0.735856i	$0.263220\pi$
$728$	−10.9559	−	1.73524i	−0.406052	−	0.0643123i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−1.41992	−	1.67213i	−0.0525538	−	0.0618885i
$731$	1.90576	−	1.38462i	0.0704872	−	0.0512120i
$732$	−0.558171	−	3.52415i	−0.0206306	−	0.130256i
$733$	−13.5779	−	6.91829i	−0.501511	−	0.255533i	0.184885	−	0.982760i	$-0.440809\pi$
$733$	−13.5779	−	6.91829i	−0.501511	−	0.255533i	−0.686397	+	0.727227i	$0.740809\pi$
$734$	16.3086	+	11.8489i	0.601963	+	0.437351i
$735$	−0.747842	+	9.16845i	−0.0275846	+	0.338183i
$736$	−4.95320	−	1.60939i	−0.182577	−	0.0593230i
$737$	47.7660	+	24.3380i	1.75948	+	0.896501i
$738$	−4.40921	+	4.40921i	−0.162305	+	0.162305i
$739$	26.2950			0.967276			0.483638	−	0.875268i	$-0.339315\pi$
$739$	26.2950			0.967276			0.483638	+	0.875268i	$0.339315\pi$
$740$	−22.0180	+	13.4066i	−0.809398	+	0.492836i
$741$	−9.98427	+	7.25399i	−0.366781	+	0.266482i
$742$	−11.5408	+	1.82789i	−0.423677	+	0.0671038i
$743$	−17.1825	−	17.1825i	−0.630365	−	0.630365i	0.317795	−	0.948160i	$-0.397058\pi$
$743$	−17.1825	−	17.1825i	−0.630365	−	0.630365i	−0.948160	+	0.317795i	$0.897058\pi$
$744$	−5.33132	−	1.60530i	−0.195456	−	0.0588533i
$745$	16.4155	−	26.6173i	0.601417	−	0.975181i
$746$	−11.6889	−	8.49252i	−0.427963	−	0.310933i
$747$	−2.83743	+	17.9148i	−0.103816	+	0.655470i
$748$	−1.49880	−	0.763679i	−0.0548017	−	0.0279229i
$749$			10.6601i			0.389510i
$750$	−11.1380	−	0.972360i	−0.406701	−	0.0355056i
$751$	−6.17574	−	19.0070i	−0.225356	−	0.693574i	−0.998255	−	0.0590455i	$-0.981194\pi$
$751$	−6.17574	−	19.0070i	−0.225356	−	0.693574i	0.772899	−	0.634529i	$-0.218806\pi$
$752$	4.91189	−	2.50273i	0.179118	−	0.0912653i
$753$	13.6182	+	26.7272i	0.496275	+	0.973995i
$754$	−10.7133	+	14.7456i	−0.390156	+	0.537003i
$755$	−47.8379	−	11.6290i	−1.74100	−	0.423223i
$756$	0.998565	−	1.37441i	0.0363175	−	0.0499867i
$757$	1.36677	−	8.62944i	0.0496761	−	0.313642i	−0.950321	−	0.311271i	$-0.899245\pi$
$757$	1.36677	−	8.62944i	0.0496761	−	0.313642i	0.999997	−	0.00237110i	$-0.000754744\pi$
$758$	−5.60740	−	11.0051i	−0.203670	−	0.399725i
$759$	−22.8163	+	16.5770i	−0.828179	+	0.601707i
$760$	3.20598	+	2.75399i	0.116293	+	0.0998977i
$761$	−15.7644	−	5.12215i	−0.571457	−	0.185678i	0.00901268	−	0.999959i	$-0.497131\pi$
$761$	−15.7644	−	5.12215i	−0.571457	−	0.185678i	−0.580470	+	0.814282i	$0.697131\pi$
$762$	−5.45018	−	0.863224i	−0.197439	−	0.0312713i
$763$	3.33675	−	0.528489i	0.120798	−	0.0191326i
$764$	1.28301	−	0.416874i	0.0464175	−	0.0150820i
$765$	−0.267642	+	0.640977i	−0.00967662	+	0.0231746i
$766$	−1.66771	−	0.541871i	−0.0602567	−	0.0195786i
$767$	1.36471	+	2.67839i	0.0492768	+	0.0967111i
$768$	−0.453990	+	0.891007i	−0.0163820	+	0.0321514i
$769$			3.65326i			0.131740i	0.997828	+	0.0658700i	$0.0209823\pi$
$769$			3.65326i			0.131740i	−0.997828	+	0.0658700i	$0.979018\pi$
$770$	17.5088	+	10.7981i	0.630973	+	0.389136i
$771$	−8.68419	+	2.82166i	−0.312753	+	0.101620i
$772$	22.8263	+	3.61533i	0.821536	+	0.130119i
$773$	1.23436	+	7.79343i	0.0443968	+	0.280310i	0.999892	−	0.0146964i	$-0.00467818\pi$
$773$	1.23436	+	7.79343i	0.0443968	+	0.280310i	−0.955495	+	0.295007i	$0.904678\pi$
$774$	−7.58324			−0.272574
$775$	−27.5622	−	3.91468i	−0.990064	−	0.140619i
$776$	12.3333			0.442740
$777$	−3.06381	−	19.3442i	−0.109914	−	0.693968i
$778$	24.1193	+	3.82012i	0.864718	+	0.136958i
$779$	11.2091	−	3.64206i	0.401608	−	0.130490i
$780$	−12.4268	−	7.66391i	−0.444951	−	0.274412i
$781$			26.2065i			0.937744i
$782$	−0.734485	+	1.44151i	−0.0262651	+	0.0515482i
$783$	−1.26731	−	2.48723i	−0.0452899	−	0.0888865i
$784$	3.91252	+	1.27126i	0.139733	+	0.0454020i
$785$	−0.525874	+	1.25942i	−0.0187692	+	0.0449506i
$786$	−0.526541	+	0.171084i	−0.0187811	+	0.00610235i
$787$	−46.3176	+	7.33599i	−1.65104	+	0.261500i	−0.911407	−	0.411506i	$-0.865003\pi$
$787$	−46.3176	+	7.33599i	−1.65104	+	0.261500i	−0.739638	+	0.673005i	$0.765003\pi$
$788$	3.81060	+	0.603539i	0.135747	+	0.0215002i
$789$	−12.2800	−	3.99000i	−0.437178	−	0.142048i
$790$	0.811398	+	0.697004i	0.0288683	+	0.0247983i
$791$	22.0962	−	16.0538i	0.785651	−	0.570809i
$792$	2.45841	+	4.82490i	0.0873558	+	0.171445i
$793$	3.64449	−	23.0104i	0.129420	−	0.817123i
$794$	10.3851	−	14.2939i	0.368555	−	0.507272i
$795$	−14.9443	−	3.63285i	−0.530021	−	0.128844i
$796$	5.29102	−	7.28246i	0.187535	−	0.258120i
$797$	19.4554	+	38.1834i	0.689145	+	1.35252i	0.924713	+	0.380666i	$0.124305\pi$
$797$	19.4554	+	38.1834i	0.689145	+	1.35252i	−0.235567	+	0.971858i	$0.575695\pi$
$798$	−2.86107	+	1.45779i	−0.101281	+	0.0516051i
$799$	−0.529184	−	1.62866i	−0.0187212	−	0.0576179i
$800$	−1.57214	+	4.74641i	−0.0555834	+	0.167811i
$801$		−	2.68213i		−	0.0947685i
$802$	−34.0569	−	17.3529i	−1.20259	−	0.612751i
$803$	−0.831051	+	5.24705i	−0.0293272	+	0.185164i
$804$	−8.00917	−	5.81900i	−0.282462	−	0.205220i
$805$	10.3853	−	16.8395i	0.366034	−	0.593513i
$806$	−29.8673	−	20.7254i	−1.05203	−	0.730023i
$807$	−7.66642	−	7.66642i	−0.269871	−	0.269871i
$808$	−8.45395	+	1.33897i	−0.297409	+	0.0471049i
$809$	38.1741	−	27.7351i	1.34213	−	0.975115i	0.342768	−	0.939420i	$-0.388636\pi$
$809$	38.1741	−	27.7351i	1.34213	−	0.975115i	0.999363	−	0.0356950i	$-0.0113645\pi$
$810$	1.90988	−	1.16291i	0.0671063	−	0.0408605i
$811$	26.2358			0.921262			0.460631	−	0.887592i	$-0.347623\pi$
$811$	26.2358			0.921262			0.460631	+	0.887592i	$0.347623\pi$
$812$	−3.35335	+	3.35335i	−0.117679	+	0.117679i
$813$	11.1544	+	5.68346i	0.391203	+	0.199328i
$814$	59.3726	+	19.2913i	2.08101	+	0.676161i
$815$	2.97659	−	36.4926i	0.104265	−	1.27828i
$816$	0.251313	+	0.182589i	0.00879770	+	0.00639190i
$817$	12.7710	+	6.50715i	0.446801	+	0.227657i
$818$	−3.89684	−	24.6037i	−0.136250	−	0.860248i
$819$	8.97397	−	6.51997i	0.313576	−	0.227826i
$820$	9.02512	+	10.6282i	0.315171	+	0.371152i
$821$	15.3324	+	21.1032i	0.535104	+	0.736508i	0.987898	−	0.155108i	$-0.0495724\pi$
$821$	15.3324	+	21.1032i	0.535104	+	0.736508i	−0.452793	+	0.891616i	$0.649572\pi$
$822$	−3.51718	−	0.557066i	−0.122676	−	0.0194299i
$823$	38.7578	−	19.7481i	1.35101	−	0.688375i	0.379461	−	0.925208i	$-0.376109\pi$
$823$	38.7578	−	19.7481i	1.35101	−	0.688375i	0.971550	+	0.236833i	$0.0761093\pi$
$824$	−0.919559	−	1.26566i	−0.0320344	−	0.0440915i
$825$	15.7896	+	21.9949i	0.549725	+	0.765763i
$826$	0.241693	+	0.743855i	0.00840957	+	0.0258820i
$827$	22.9617	−	3.63678i	0.798458	−	0.126463i	0.256143	−	0.966639i	$-0.417548\pi$
$827$	22.9617	−	3.63678i	0.798458	−	0.126463i	0.542314	+	0.840176i	$0.317548\pi$
$828$	4.64046	−	2.36443i	0.161267	−	0.0821696i
$829$	−0.466361	+	1.43531i	−0.0161974	+	0.0498504i	−0.958829	−	0.283986i	$-0.908343\pi$
$829$	−0.466361	+	1.43531i	−0.0161974	+	0.0498504i	0.942631	+	0.333836i	$0.108343\pi$
$830$	39.4104	+	9.58035i	1.36796	+	0.332539i
$831$	32.6129			1.13133
$832$	−4.61694	+	4.61694i	−0.160064	+	0.160064i
$833$	0.580168	−	1.13864i	0.0201016	−	0.0394517i
$834$	−0.579556	−	0.797691i	−0.0200684	−	0.0276218i
$835$	34.6991	+	14.4887i	1.20081	+	0.501402i
$836$		−	10.2352i		−	0.353992i
$837$	4.90494	−	2.63469i	0.169539	−	0.0910683i
$838$	20.5854	−	20.5854i	0.711111	−	0.711111i
$839$	−10.4869	+	14.4340i	−0.362047	+	0.498315i	−0.950718	−	0.310058i	$-0.899652\pi$
$839$	−10.4869	+	14.4340i	−0.362047	+	0.498315i	0.588670	+	0.808373i	$0.299652\pi$
$840$	−2.88157	−	2.47532i	−0.0994237	−	0.0854065i
$841$	−6.55351	−	20.1696i	−0.225983	−	0.695504i
$842$	10.9533	+	10.9533i	0.377476	+	0.377476i
$843$	−5.59390	−	5.59390i	−0.192664	−	0.192664i
$844$	6.68248	−	2.17127i	0.230020	−	0.0747382i
$845$	−42.8887	−	50.5066i	−1.47541	−	1.73748i
$846$	−1.70353	+	5.24293i	−0.0585687	+	0.180256i
$847$	−4.86965	−	30.7458i	−0.167323	−	1.05644i
$848$	−3.12252	+	6.12830i	−0.107228	+	0.210447i
$849$	18.5955	+	13.5104i	0.638196	+	0.463677i
$850$	1.37987	+	0.713005i	0.0473292	+	0.0244559i
$851$	18.5539	−	57.1029i	0.636018	−	1.95746i
$852$	0.757068	−	4.77994i	0.0259367	−	0.163758i
$853$	1.24478	−	7.85925i	0.0426205	−	0.269095i	−0.957171	−	0.289524i	$-0.906503\pi$
$853$	1.24478	−	7.85925i	0.0426205	−	0.269095i	0.999791	+	0.0204285i	$0.00650303\pi$
$854$	1.87316	−	5.76500i	0.0640983	−	0.197274i
$855$	−4.21433	+	0.319606i	−0.144127	+	0.0109303i
$856$	5.07644	+	3.68825i	0.173509	+	0.126062i
$857$	−5.46745	+	10.7305i	−0.186765	+	0.366546i	−0.965336	−	0.261010i	$-0.915945\pi$
$857$	−5.46745	+	10.7305i	−0.186765	+	0.366546i	0.778572	+	0.627556i	$0.215945\pi$
$858$	5.53107	+	34.9218i	0.188828	+	1.19221i
$859$	2.29110	−	7.05127i	0.0781712	−	0.240586i	−0.904333	−	0.426828i	$-0.859631\pi$
$859$	2.29110	−	7.05127i	0.0781712	−	0.240586i	0.982504	+	0.186242i	$0.0596309\pi$
$860$	−1.37852	+	16.9005i	−0.0470072	+	0.576303i
$861$	−10.0749	+	3.27352i	−0.343351	+	0.111561i
$862$	0.205194	+	0.205194i	0.00698894	+	0.00698894i
$863$	35.4905	+	35.4905i	1.20811	+	1.20811i	0.971638	+	0.236474i	$0.0759919\pi$
$863$	35.4905	+	35.4905i	1.20811	+	1.20811i	0.236474	+	0.971638i	$0.424008\pi$
$864$	−0.309017	−	0.951057i	−0.0105130	−	0.0323556i
$865$	−8.04417	+	9.36440i	−0.273510	+	0.318399i
$866$	−7.21866	+	9.93563i	−0.245300	+	0.337626i
$867$	−11.9526	+	11.9526i	−0.405931	+	0.405931i
$868$	−6.83189	−	6.54181i	−0.231889	−	0.222044i
$869$		−	2.59042i		−	0.0878740i
$870$	−5.77359	+	2.37227i	−0.195743	+	0.0804274i
$871$	−37.9942	−	52.2946i	−1.28739	−	1.77193i
$872$	0.902802	−	1.77185i	0.0305727	−	0.0600024i
$873$	−8.72096	+	8.72096i	−0.295160	+	0.295160i
$874$	−9.84394			−0.332976
$875$	−16.1096	−	10.0622i	−0.544603	−	0.340165i
$876$	0.303159	−	0.933027i	0.0102428	−	0.0315241i
$877$	47.4160	−	24.1596i	1.60112	−	0.815813i	0.601264	−	0.799051i	$-0.294664\pi$
$877$	47.4160	−	24.1596i	1.60112	−	0.815813i	0.999860	−	0.0167622i	$-0.00533584\pi$
$878$	−17.9421	+	2.84175i	−0.605517	+	0.0959044i
$879$	−9.03856	−	27.8178i	−0.304863	−	0.938272i
$880$	11.2000	−	4.60188i	0.377552	−	0.155129i
$881$	−4.89022	−	6.73082i	−0.164756	−	0.226767i	0.718654	−	0.695367i	$-0.244758\pi$
$881$	−4.89022	−	6.73082i	−0.164756	−	0.226767i	−0.883410	+	0.468601i	$0.844758\pi$
$882$	−3.66549	+	1.86766i	−0.123423	+	0.0628873i
$883$	−32.5254	−	5.15152i	−1.09457	−	0.173362i	−0.417060	−	0.908879i	$-0.636939\pi$
$883$	−32.5254	−	5.15152i	−1.09457	−	0.173362i	−0.677507	+	0.735517i	$0.736939\pi$
$884$	1.19219	+	1.64090i	0.0400976	+	0.0551896i
$885$	−0.0836918	+	1.02605i	−0.00281327	+	0.0344903i
$886$	12.7942	−	9.29553i	0.429829	−	0.312289i
$887$	0.228660	+	1.44370i	0.00767764	+	0.0484747i	0.991230	−	0.132150i	$-0.0421881\pi$
$887$	0.228660	+	1.44370i	0.00767764	+	0.0484747i	−0.983552	+	0.180625i	$0.942188\pi$
$888$	−10.2720	−	5.23382i	−0.344704	−	0.175636i
$889$	−7.58415	−	5.51021i	−0.254364	−	0.184806i
$890$	−5.97758	−	0.487572i	−0.200369	−	0.0163435i
$891$	−5.15008	−	1.67336i	−0.172534	−	0.0560597i
$892$	11.0407	+	5.62550i	0.369669	+	0.188356i
$893$	7.36788	−	7.36788i	0.246557	−	0.246557i
$894$	13.9853			0.467740
$895$	−4.08386	+	16.7997i	−0.136509	+	0.561551i
$896$	−1.37441	+	0.998565i	−0.0459157	+	0.0333597i
$897$	33.5868	−	5.31963i	1.12143	−	0.177617i
$898$	23.0577	+	23.0577i	0.769447	+	0.769447i
$899$	−14.6740	+	5.12226i	−0.489406	+	0.170837i
$900$	−2.24455	−	4.46789i	−0.0748183	−	0.148930i
$901$	1.72851	+	1.25584i	0.0575852	+	0.0418381i
$902$	5.28221	−	33.3505i	0.175878	−	1.11045i
$903$	−11.4787	−	5.84870i	−0.381988	−	0.194633i
$904$		−	16.0769i		−	0.534710i
$905$	19.1354	−	31.0274i	0.636081	−	1.03139i
$906$	−6.80357	−	20.9392i	−0.226033	−	0.695659i
$907$	−6.34040	+	3.23060i	−0.210530	+	0.107270i	−0.556076	−	0.831131i	$-0.687694\pi$
$907$	−6.34040	+	3.23060i	−0.210530	+	0.107270i	0.345546	+	0.938402i	$0.387694\pi$
$908$	−5.14937	−	10.1062i	−0.170888	−	0.335386i
$909$	5.03105	−	6.92464i	0.166869	−	0.229676i
$910$	−12.8995	−	21.1852i	−0.427614	−	0.702283i
$911$	23.1165	−	31.8171i	0.765883	−	1.05415i	−0.230819	−	0.972997i	$-0.574141\pi$
$911$	23.1165	−	31.8171i	0.765883	−	1.05415i	0.996702	−	0.0811506i	$-0.0258595\pi$
$912$	−0.295680	+	1.86685i	−0.00979094	+	0.0618176i
$913$	−44.5910	−	87.5148i	−1.47575	−	2.89632i
$914$	29.8639	−	21.6974i	0.987810	−	0.717686i
$915$	5.19886	−	6.05211i	0.171869	−	0.200076i
$916$	19.9916	+	6.49565i	0.660539	+	0.214622i
$917$	−0.928975	−	0.147135i	−0.0306775	−	0.00485883i
$918$	−0.306815	+	0.0485947i	−0.0101264	+	0.00160386i
$919$	−6.07243	+	1.97305i	−0.200311	+	0.0650850i	−0.407454	−	0.913226i	$-0.633583\pi$
$919$	−6.07243	+	1.97305i	−0.200311	+	0.0650850i	0.207143	+	0.978311i	$0.433583\pi$
$920$	−4.42596	−	10.7718i	−0.145920	−	0.355137i
$921$	25.0589	+	8.14211i	0.825717	+	0.268292i
$922$	9.56989	+	18.7820i	0.315168	+	0.618551i
$923$	14.3456	−	28.1548i	0.472191	−	0.926726i
$924$			9.19953i			0.302642i
$925$	−54.7189	−	18.1243i	−1.79915	−	0.595925i
$926$	−34.6741	+	11.2663i	−1.13946	+	0.370233i
$927$	1.54519	+	0.244734i	0.0507506	+	0.00803810i
$928$	0.436685	+	2.75712i	0.0143349	+	0.0905069i
$929$	5.95292			0.195309			0.0976545	−	0.995220i	$-0.468866\pi$
$929$	5.95292			0.195309			0.0976545	+	0.995220i	$0.468866\pi$
$930$	−4.98021	−	11.4104i	−0.163307	−	0.374162i
$931$	7.77571			0.254839
$932$	−0.907634	−	5.73058i	−0.0297305	−	0.187711i
$933$	2.76537	+	0.437991i	0.0905341	+	0.0143392i
$934$	−37.8705	+	12.3049i	−1.23916	+	0.402628i
$935$	−0.867665	−	3.65995i	−0.0283757	−	0.119693i
$936$		−	6.52934i		−	0.213418i
$937$	−22.8965	+	44.9369i	−0.747996	+	1.46803i	0.131094	+	0.991370i	$0.458151\pi$
$937$	−22.8965	+	44.9369i	−0.747996	+	1.46803i	−0.879090	+	0.476655i	$0.841849\pi$
$938$	−7.63545	−	14.9854i	−0.249306	−	0.489291i
$939$	−32.6076	−	10.5949i	−1.06411	−	0.345750i
$940$	11.3751	+	4.74969i	0.371014	+	0.154918i
$941$	54.9743	−	17.8622i	1.79211	−	0.582293i	0.792493	−	0.609881i	$-0.208783\pi$
$941$	54.9743	−	17.8622i	1.79211	−	0.582293i	0.999619	+	0.0275884i	$0.00878277\pi$
$942$	−0.602842	+	0.0954809i	−0.0196417	+	0.00311093i
$943$	−32.0756	−	5.08028i	−1.04453	−	0.165437i
$944$	0.437855	+	0.142268i	0.0142510	+	0.00463042i
$945$	3.78789	−	0.287265i	0.123220	−	0.00934474i
$946$	33.2216	−	24.1369i	1.08013	−	0.784758i
$947$	16.5647	+	32.5100i	0.538279	+	1.05643i	0.986691	+	0.162606i	$0.0519898\pi$
$947$	16.5647	+	32.5100i	0.538279	+	1.05643i	−0.448412	+	0.893827i	$0.648010\pi$
$948$	−0.0748333	+	0.472479i	−0.00243047	+	0.0153454i
$949$	3.76509	−	5.18221i	0.122220	−	0.168222i
$950$	−0.0538097	+	9.45045i	−0.00174582	+	0.306613i
$951$	−13.5245	+	18.6149i	−0.438562	+	0.603629i
$952$	0.239586	+	0.470214i	0.00776502	+	0.0152397i
$953$	3.29594	−	1.67936i	0.106766	−	0.0543999i	−0.399792	−	0.916606i	$-0.630918\pi$
$953$	3.29594	−	1.67936i	0.106766	−	0.0543999i	0.506558	+	0.862206i	$0.330918\pi$
$954$	−2.12540	−	6.54132i	−0.0688124	−	0.211783i
$955$	2.56752	+	1.58345i	0.0830828	+	0.0512391i
$956$		−	5.33638i		−	0.172591i
$957$	13.4687	+	6.86262i	0.435380	+	0.221837i
$958$	3.38275	−	21.3578i	0.109292	−	0.690040i
$959$	−4.89429	−	3.55591i	−0.158045	−	0.114826i
$960$	−2.17576	+	0.515808i	−0.0702224	+	0.0166476i
$961$	−10.8489	−	29.0397i	−0.349963	−	0.936763i
$962$	−53.2263	−	53.2263i	−1.71609	−	1.71609i
$963$	−6.19757	+	0.981599i	−0.199714	+	0.0316316i
$964$	−15.4270	+	11.2084i	−0.496872	+	0.360998i
$965$	26.8758	+	44.1389i	0.865162	+	1.42088i
$966$	8.84785			0.284675
$967$	32.5110	−	32.5110i	1.04548	−	1.04548i	0.0465684	−	0.998915i	$-0.485171\pi$
$967$	32.5110	−	32.5110i	1.04548	−	1.04548i	0.998915	−	0.0465684i	$-0.0148285\pi$
$968$	−16.3263	−	8.31868i	−0.524748	−	0.267372i
$969$	0.558409	+	0.181438i	0.0179387	+	0.00582863i
$970$	17.8508	+	21.0215i	0.573154	+	0.674958i
$971$	−21.1935	−	15.3980i	−0.680133	−	0.494145i	0.193269	−	0.981146i	$-0.438091\pi$
$971$	−21.1935	−	15.3980i	−0.680133	−	0.494145i	−0.873402	+	0.487000i	$0.838091\pi$
$972$	0.891007	+	0.453990i	0.0285790	+	0.0145618i
$973$	−0.262040	−	1.65445i	−0.00840061	−	0.0530394i
$974$	−19.0931	+	13.8719i	−0.611782	+	0.444485i
$975$	−4.92339	−	32.2733i	−0.157675	−	1.03357i
$976$	−2.09727	−	2.88664i	−0.0671319	−	0.0923991i
$977$	60.7583	+	9.62317i	1.94383	+	0.307872i	0.999761	−	0.0218761i	$-0.00696394\pi$
$977$	60.7583	+	9.62317i	1.94383	+	0.307872i	0.944069	+	0.329748i	$0.106964\pi$
$978$	14.5895	−	7.43372i	0.466521	−	0.237704i
$979$	8.53702	+	11.7502i	0.272844	+	0.375538i
$980$	3.49606	+	8.50866i	0.111677	+	0.271799i
$981$	0.614509	+	1.89126i	0.0196198	+	0.0603834i
$982$	−9.11379	+	1.44348i	−0.290833	+	0.0460634i
$983$	−0.415750	+	0.211835i	−0.0132604	+	0.00675649i	−0.460608	−	0.887604i	$-0.652369\pi$
$983$	−0.415750	+	0.211835i	−0.0132604	+	0.00675649i	0.447348	+	0.894360i	$0.352369\pi$
$984$	−1.92689	+	5.93037i	−0.0614271	+	0.189053i
$985$	4.48662	+	7.36850i	0.142956	+	0.234780i
$986$	0.867146			0.0276156
$987$	−6.62233	+	6.62233i	−0.210791	+	0.210791i
$988$	−5.60280	+	10.9961i	−0.178249	+	0.349833i
$989$	−23.2142	−	31.9516i	−0.738168	−	1.01600i
$990$	−4.66558	+	11.1736i	−0.148282	+	0.355121i
$991$			18.5190i			0.588276i	0.955763	+	0.294138i	$0.0950325\pi$
$991$			18.5190i			0.588276i	−0.955763	+	0.294138i	$0.904968\pi$
$992$	−5.47904	+	0.990034i	−0.173960	+	0.0314336i
$993$	2.23164	−	2.23164i	0.0708191	−	0.0708191i
$994$	4.83258	−	6.65147i	0.153280	−	0.210972i
$995$	20.0706	−	1.52211i	0.636280	−	0.0482541i
$996$	5.60500	+	17.2504i	0.177601	+	0.546600i
$997$	1.15347	+	1.15347i	0.0365307	+	0.0365307i	0.725136	−	0.688606i	$-0.241777\pi$
$997$	1.15347	+	1.15347i	0.0365307	+	0.0365307i	−0.688606	+	0.725136i	$0.741777\pi$
$998$	−17.4177	−	17.4177i	−0.551349	−	0.551349i
$999$	10.9642	−	3.56250i	0.346893	−	0.112712i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.a.277.9	✓	128
5.3	odd	4		930.2.bj.b.463.9	yes	128
31.15	odd	10		930.2.bj.b.697.9	yes	128
155.108	even	20	inner	930.2.bj.a.883.9	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.277.9	✓	128	1.1	even	1	trivial
930.2.bj.a.883.9	yes	128	155.108	even	20	inner
930.2.bj.b.463.9	yes	128	5.3	odd	4
930.2.bj.b.697.9	yes	128	31.15	odd	10

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.90323 - 1.17377i) q^{5} -1.00000i q^{6} +(0.771267 - 1.51370i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.90323 - 1.17377i) q^{5} -1.00000i q^{6} +(0.771267 - 1.51370i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.861584 - 2.06341i) q^{10} +(-5.15008 + 1.67336i) q^{11} +(0.987688 - 0.156434i) q^{12} +(6.44895 + 1.02141i) q^{13} +(1.61571 + 0.524977i) q^{14} +(1.69618 + 1.45704i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-0.141027 - 0.276782i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(1.11098 - 1.52914i) q^{19} +(2.17279 + 0.528188i) q^{20} +(-0.998565 + 1.37441i) q^{21} +(-2.45841 - 4.82490i) q^{22} +(-4.64046 + 2.36443i) q^{23} +(0.309017 + 0.951057i) q^{24} +(2.24455 + 4.46789i) q^{25} +6.52934i q^{26} +(-0.891007 - 0.453990i) q^{27} +(-0.265760 + 1.67795i) q^{28} +(2.25836 + 1.64080i) q^{29} +(-1.17377 + 1.90323i) q^{30} +(-3.17420 + 4.57432i) q^{31} +(0.707107 + 0.707107i) q^{32} +(5.34845 - 0.847110i) q^{33} +(0.251313 - 0.182589i) q^{34} +(-3.24462 + 1.97562i) q^{35} -1.00000 q^{36} +(-8.15187 + 8.15187i) q^{37} +(1.68411 + 0.858096i) q^{38} +(-6.20977 - 2.01768i) q^{39} +(-0.181785 + 2.22867i) q^{40} +(5.04467 + 3.66517i) q^{41} +(-1.51370 - 0.771267i) q^{42} +(1.18628 + 7.48988i) q^{43} +(4.38092 - 3.18292i) q^{44} +(-1.44736 - 1.70445i) q^{45} +(-3.06125 - 4.21345i) q^{46} +(5.44488 + 0.862384i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(2.41807 + 3.32819i) q^{49} +(-4.06175 + 2.91585i) q^{50} +(0.0959929 + 0.295436i) q^{51} +(-6.44895 + 1.02141i) q^{52} +(-6.12830 + 3.12252i) q^{53} +(0.309017 - 0.951057i) q^{54} +(11.7659 + 2.86020i) q^{55} -1.69886 q^{56} +(-1.33652 + 1.33652i) q^{57} +(-1.26731 + 2.48723i) q^{58} +(0.270609 + 0.372462i) q^{59} +(-2.06341 - 0.861584i) q^{60} -3.56808i q^{61} +(-5.01456 - 2.41954i) q^{62} +(1.20128 - 1.20128i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-11.0749 - 9.51354i) q^{65} +(1.67336 + 5.15008i) q^{66} +(-7.00027 - 7.00027i) q^{67} +(0.219655 + 0.219655i) q^{68} +(4.95320 - 1.60939i) q^{69} +(-2.45887 - 2.89562i) q^{70} +(1.49549 - 4.60266i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(0.445384 - 0.874115i) q^{73} +(-9.32674 - 6.77627i) q^{74} +(-1.51798 - 4.76400i) q^{75} +(-0.584079 + 1.79761i) q^{76} +(-1.43912 + 9.08627i) q^{77} +(1.02141 - 6.44895i) q^{78} +(-0.147824 + 0.454956i) q^{79} +(-2.22967 + 0.169093i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-2.83088 + 5.55592i) q^{82} +(2.83743 + 17.9148i) q^{83} +(0.524977 - 1.61571i) q^{84} +(-0.0564697 + 0.692312i) q^{85} +(-7.21209 + 2.34335i) q^{86} +(-1.97388 - 1.97388i) q^{87} +(3.82906 + 3.82906i) q^{88} +(-0.828824 - 2.55086i) q^{89} +(1.45704 - 1.69618i) q^{90} +(6.51997 - 8.97397i) q^{91} +(3.68269 - 3.68269i) q^{92} +(3.85071 - 4.02145i) q^{93} +5.51275i q^{94} +(-3.90931 + 1.60626i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-5.59920 + 10.9891i) q^{97} +(-2.90895 + 2.90895i) q^{98} -5.41511 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 16 q^{7}+O(q^{10}) \) 128 * q - 16 * q^7	\( 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) \) 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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