LMFDB - Embedded newform 605.2.m.d.602.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [605,2,Mod(112,605)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(605, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([5, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("605.112"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.m (of order $20$, degree $8$, not minimal)

Newform invariants

comment:select newform

sage:traces = [32,0,6,0,-2,0,20] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(7)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{20})$
Twist minimal:	no (minimal twist has level 55)
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			602.1
Character	$\chi$	$=$	605.602
Dual form			605.2.m.d.403.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.229326 + 1.44791i) q^{2} +(0.741739 + 0.377935i) q^{3} +(-0.141727 - 0.0460500i) q^{4} +(2.04303 + 0.908872i) q^{5} +(-0.717314 + 0.987298i) q^{6} +(1.91372 + 3.75588i) q^{7} +(-1.23188 + 2.41770i) q^{8} +(-1.35601 - 1.86639i) q^{9} +(-1.78448 + 2.74968i) q^{10} +(-0.0877208 - 0.0877208i) q^{12} +(-0.914284 - 0.144808i) q^{13} +(-5.87703 + 1.90956i) q^{14} +(1.17190 + 1.44628i) q^{15} +(-3.45922 - 2.51327i) q^{16} +(1.90403 - 0.301569i) q^{17} +(3.01333 - 1.53537i) q^{18} +(-1.67851 - 5.16591i) q^{19} +(-0.247699 - 0.222893i) q^{20} +3.50915i q^{21} +(1.95998 - 1.95998i) q^{23} +(-1.82747 + 1.32773i) q^{24} +(3.34790 + 3.71370i) q^{25} +(0.419337 - 1.29059i) q^{26} +(-0.691116 - 4.36353i) q^{27} +(-0.0982678 - 0.620439i) q^{28} +(0.309582 - 0.952796i) q^{29} +(-2.36282 + 1.36513i) q^{30} +(-0.342979 + 0.249189i) q^{31} +(0.594873 - 0.594873i) q^{32} +2.82602i q^{34} +(0.496157 + 9.41269i) q^{35} +(0.106237 + 0.326964i) q^{36} +(4.39533 - 2.23953i) q^{37} +(7.86468 - 1.24564i) q^{38} +(-0.623432 - 0.452950i) q^{39} +(-4.71414 + 3.81980i) q^{40} +(-0.549205 + 0.178448i) q^{41} +(-5.08091 - 0.804737i) q^{42} +(-5.05373 - 5.05373i) q^{43} +(-1.07406 - 5.04553i) q^{45} +(2.38840 + 3.28735i) q^{46} +(-0.540066 + 1.05994i) q^{47} +(-1.61599 - 3.17155i) q^{48} +(-6.32985 + 8.71229i) q^{49} +(-6.14484 + 3.99580i) q^{50} +(1.52627 + 0.495915i) q^{51} +(0.122911 + 0.0626261i) q^{52} +(-1.42067 + 8.96976i) q^{53} +6.47647 q^{54} -11.4381 q^{56} +(0.707364 - 4.46612i) q^{57} +(1.30856 + 0.666746i) q^{58} +(8.85410 + 2.87687i) q^{59} +(-0.0994889 - 0.258943i) q^{60} +(4.57402 - 6.29560i) q^{61} +(-0.282148 - 0.553746i) q^{62} +(4.41493 - 8.66478i) q^{63} +(-4.30165 - 5.92071i) q^{64} +(-1.73629 - 1.12681i) q^{65} +(-3.05526 - 3.05526i) q^{67} +(-0.283741 - 0.0449401i) q^{68} +(2.19454 - 0.713050i) q^{69} +(-13.7425 - 1.44018i) q^{70} +(-6.95054 - 5.04987i) q^{71} +(6.18283 - 0.979264i) q^{72} +(-4.86525 + 2.47897i) q^{73} +(2.23467 + 6.87761i) q^{74} +(1.07973 + 4.01988i) q^{75} +0.809447i q^{76} +(0.798797 - 0.798797i) q^{78} +(-1.84797 + 1.34263i) q^{79} +(-4.78304 - 8.27867i) q^{80} +(-1.00219 + 3.08443i) q^{81} +(-0.132428 - 0.836120i) q^{82} +(-0.311099 - 1.96420i) q^{83} +(0.161596 - 0.497342i) q^{84} +(4.16407 + 1.11441i) q^{85} +(8.47628 - 6.15838i) q^{86} +(0.589724 - 0.589724i) q^{87} +13.9313i q^{89} +(7.55176 - 0.398065i) q^{90} +(-1.20580 - 3.71107i) q^{91} +(-0.368041 + 0.187526i) q^{92} +(-0.348578 + 0.0552093i) q^{93} +(-1.41084 - 1.02504i) q^{94} +(1.26592 - 12.0796i) q^{95} +(0.666063 - 0.216417i) q^{96} +(3.28341 + 0.520041i) q^{97} +(-11.1630 - 11.1630i) q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 6 q^{3} - 2 q^{5} + 20 q^{7} - 20 q^{8} + 12 q^{12} - 20 q^{13} + 4 q^{15} + 12 q^{16} + 30 q^{18} + 16 q^{20} - 24 q^{23} - 24 q^{25} - 20 q^{26} + 24 q^{27} - 20 q^{28} + 40 q^{30} + 32 q^{31}+ \cdots - 38 q^{97}+O(q^{100}) $ 32 * q + 6 * q^3 - 2 * q^5 + 20 * q^7 - 20 * q^8 + 12 * q^12 - 20 * q^13 + 4 * q^15 + 12 * q^16 + 30 * q^18 + 16 * q^20 - 24 * q^23 - 24 * q^25 - 20 * q^26 + 24 * q^27 - 20 * q^28 + 40 * q^30 + 32 * q^31 + 30 * q^35 - 36 * q^36 - 8 * q^37 + 10 * q^38 - 50 * q^40 - 20 * q^42 - 28 * q^45 + 20 * q^46 + 42 * q^47 + 26 * q^48 + 80 * q^50 - 100 * q^51 - 20 * q^52 - 34 * q^53 - 80 * q^56 - 40 * q^57 + 90 * q^58 - 86 * q^60 + 10 * q^62 - 10 * q^63 - 8 * q^67 - 70 * q^68 + 10 * q^70 - 36 * q^71 - 70 * q^72 + 30 * q^73 + 4 * q^75 + 60 * q^78 - 102 * q^80 + 8 * q^81 + 20 * q^82 - 60 * q^83 + 60 * q^85 - 80 * q^86 + 130 * q^90 - 60 * q^91 + 42 * q^92 - 8 * q^93 - 30 * q^95 - 38 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{3}{10}\right)$

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 $

$2$	−0.229326	+	1.44791i	−0.162158	+	1.02382i	0.763595	+	0.645695i	$0.223432\pi$
$2$	−0.229326	+	1.44791i	−0.162158	+	1.02382i	−0.925753	+	0.378129i	$0.876568\pi$
$3$	0.741739	+	0.377935i	0.428243	+	0.218201i	0.654808	−	0.755795i	$-0.272750\pi$
$3$	0.741739	+	0.377935i	0.428243	+	0.218201i	−0.226565	+	0.973996i	$0.572750\pi$
$4$	−0.141727	−	0.0460500i	−0.0708637	−	0.0230250i
$5$	2.04303	+	0.908872i	0.913669	+	0.406460i
$5$	2.04303	+	0.908872i	0.913669	+	0.406460i
$6$	−0.717314	+	0.987298i	−0.292842	+	0.403063i
$7$	1.91372	+	3.75588i	0.723318	+	1.41959i	0.900253	+	0.435368i	$0.143382\pi$
$7$	1.91372	+	3.75588i	0.723318	+	1.41959i	−0.176935	+	0.984223i	$0.556618\pi$
$8$	−1.23188	+	2.41770i	−0.435536	+	0.854787i
$9$	−1.35601	−	1.86639i	−0.452005	−	0.622131i
$10$	−1.78448	+	2.74968i	−0.564302	+	0.869525i
$11$		0			0
$11$		0			0
$12$	−0.0877208	−	0.0877208i	−0.0253228	−	0.0253228i
$13$	−0.914284	−	0.144808i	−0.253577	−	0.0401626i	0.0283519	−	0.999598i	$-0.490974\pi$
$13$	−0.914284	−	0.144808i	−0.253577	−	0.0401626i	−0.281929	+	0.959435i	$0.590974\pi$
$14$	−5.87703	+	1.90956i	−1.57070	+	0.510352i
$15$	1.17190	+	1.44628i	0.302582	+	0.373427i
$16$	−3.45922	−	2.51327i	−0.864806	−	0.628318i
$17$	1.90403	−	0.301569i	0.461796	−	0.0731413i	0.0787982	−	0.996891i	$-0.474892\pi$
$17$	1.90403	−	0.301569i	0.461796	−	0.0731413i	0.382998	+	0.923749i	$0.374892\pi$
$18$	3.01333	−	1.53537i	0.710249	−	0.361890i
$19$	−1.67851	−	5.16591i	−0.385076	−	1.18514i	−0.936425	−	0.350867i	$-0.885887\pi$
$19$	−1.67851	−	5.16591i	−0.385076	−	1.18514i	0.551350	−	0.834274i	$-0.314113\pi$
$20$	−0.247699	−	0.222893i	−0.0553872	−	0.0498405i
$21$			3.50915i			0.765758i
$22$		0			0
$23$	1.95998	−	1.95998i	0.408685	−	0.408685i	−0.472595	−	0.881280i	$-0.656683\pi$
$23$	1.95998	−	1.95998i	0.408685	−	0.408685i	0.881280	+	0.472595i	$0.156683\pi$
$24$	−1.82747	+	1.32773i	−0.373030	+	0.271022i
$25$	3.34790	+	3.71370i	0.669581	+	0.742739i
$26$	0.419337	−	1.29059i	0.0822388	−	0.253105i
$27$	−0.691116	−	4.36353i	−0.133005	−	0.839762i
$28$	−0.0982678	−	0.620439i	−0.0185709	−	0.117252i
$29$	0.309582	−	0.952796i	0.0574880	−	0.176930i	−0.918189	−	0.396142i	$-0.870349\pi$
$29$	0.309582	−	0.952796i	0.0574880	−	0.176930i	0.975677	+	0.219212i	$0.0703488\pi$
$30$	−2.36282	+	1.36513i	−0.431389	+	0.249237i
$31$	−0.342979	+	0.249189i	−0.0616008	+	0.0447556i	−0.618160	−	0.786053i	$-0.712121\pi$
$31$	−0.342979	+	0.249189i	−0.0616008	+	0.0447556i	0.556559	+	0.830808i	$0.312121\pi$
$32$	0.594873	−	0.594873i	0.105160	−	0.105160i
$33$		0			0
$34$			2.82602i			0.484658i
$35$	0.496157	+	9.41269i	0.0838658	+	1.59104i
$36$	0.106237	+	0.326964i	0.0177061	+	0.0544939i
$37$	4.39533	−	2.23953i	0.722588	−	0.368177i	−0.0536986	−	0.998557i	$-0.517101\pi$
$37$	4.39533	−	2.23953i	0.722588	−	0.368177i	0.776287	+	0.630380i	$0.217101\pi$
$38$	7.86468	−	1.24564i	1.27582	−	0.202070i
$39$	−0.623432	−	0.452950i	−0.0998290	−	0.0725300i
$40$	−4.71414	+	3.81980i	−0.745372	+	0.603964i
$41$	−0.549205	+	0.178448i	−0.0857715	+	0.0278688i	−0.351588	−	0.936155i	$-0.614358\pi$
$41$	−0.549205	+	0.178448i	−0.0857715	+	0.0278688i	0.265817	+	0.964024i	$0.414358\pi$
$42$	−5.08091	−	0.804737i	−0.784002	−	0.124174i
$43$	−5.05373	−	5.05373i	−0.770687	−	0.770687i	0.207540	−	0.978227i	$-0.433454\pi$
$43$	−5.05373	−	5.05373i	−0.770687	−	0.770687i	−0.978227	+	0.207540i	$0.933454\pi$
$44$		0			0
$45$	−1.07406	−	5.04553i	−0.160111	−	0.752143i
$46$	2.38840	+	3.28735i	0.352150	+	0.484693i
$47$	−0.540066	+	1.05994i	−0.0787767	+	0.154608i	−0.927035	−	0.374975i	$-0.877651\pi$
$47$	−0.540066	+	1.05994i	−0.0787767	+	0.154608i	0.848258	+	0.529583i	$0.177651\pi$
$48$	−1.61599	−	3.17155i	−0.233248	−	0.457774i
$49$	−6.32985	+	8.71229i	−0.904264	+	1.24461i
$50$	−6.14484	+	3.99580i	−0.869012	+	0.565092i
$51$	1.52627	+	0.495915i	0.213720	+	0.0694420i
$52$	0.122911	+	0.0626261i	0.0170446	+	0.00868468i
$53$	−1.42067	+	8.96976i	−0.195144	+	1.23209i	0.674449	+	0.738321i	$0.264381\pi$
$53$	−1.42067	+	8.96976i	−0.195144	+	1.23209i	−0.869593	+	0.493769i	$0.835619\pi$
$54$	6.47647			0.881337
$55$		0			0
$56$	−11.4381			−1.52848
$57$	0.707364	−	4.46612i	0.0936927	−	0.591553i
$58$	1.30856	+	0.666746i	0.171823	+	0.0875481i
$59$	8.85410	+	2.87687i	1.15271	+	0.374537i	0.822162	−	0.569254i	$-0.192768\pi$
$59$	8.85410	+	2.87687i	1.15271	+	0.374537i	0.330544	+	0.943791i	$0.392768\pi$
$60$	−0.0994889	−	0.258943i	−0.0128440	−	0.0334294i
$61$	4.57402	−	6.29560i	0.585644	−	0.806069i	−0.408656	−	0.912688i	$-0.634002\pi$
$61$	4.57402	−	6.29560i	0.585644	−	0.806069i	0.994300	+	0.106619i	$0.0340025\pi$
$62$	−0.282148	−	0.553746i	−0.0358328	−	0.0703258i
$63$	4.41493	−	8.66478i	0.556228	−	1.09166i
$64$	−4.30165	−	5.92071i	−0.537706	−	0.740088i
$65$	−1.73629	−	1.12681i	−0.215361	−	0.139764i
$66$		0			0
$67$	−3.05526	−	3.05526i	−0.373259	−	0.373259i	0.495404	−	0.868663i	$-0.335020\pi$
$67$	−3.05526	−	3.05526i	−0.373259	−	0.373259i	−0.868663	+	0.495404i	$0.835020\pi$
$68$	−0.283741	−	0.0449401i	−0.0344086	−	0.00544979i
$69$	2.19454	−	0.713050i	0.264192	−	0.0858412i
$70$	−13.7425	−	1.44018i	−1.64254	−	0.172135i
$71$	−6.95054	−	5.04987i	−0.824878	−	0.599309i	0.0932277	−	0.995645i	$-0.470282\pi$
$71$	−6.95054	−	5.04987i	−0.824878	−	0.599309i	−0.918106	+	0.396336i	$0.870282\pi$
$72$	6.18283	−	0.979264i	0.728653	−	0.115407i
$73$	−4.86525	+	2.47897i	−0.569435	+	0.290142i	−0.714906	−	0.699221i	$-0.753530\pi$
$73$	−4.86525	+	2.47897i	−0.569435	+	0.290142i	0.145471	+	0.989363i	$0.453530\pi$
$74$	2.23467	+	6.87761i	0.259775	+	0.799506i
$75$	1.07973	+	4.01988i	0.124677	+	0.464176i
$76$			0.809447i			0.0928499i
$77$		0			0
$78$	0.798797	−	0.798797i	0.0904460	−	0.0904460i
$79$	−1.84797	+	1.34263i	−0.207913	+	0.151057i	−0.686869	−	0.726781i	$-0.741015\pi$
$79$	−1.84797	+	1.34263i	−0.207913	+	0.151057i	0.478956	+	0.877839i	$0.341015\pi$
$80$	−4.78304	−	8.27867i	−0.534760	−	0.925583i
$81$	−1.00219	+	3.08443i	−0.111355	+	0.342715i
$82$	−0.132428	−	0.836120i	−0.0146243	−	0.0923340i
$83$	−0.311099	−	1.96420i	−0.0341476	−	0.215599i	0.964714	−	0.263300i	$-0.0848108\pi$
$83$	−0.311099	−	1.96420i	−0.0341476	−	0.215599i	−0.998862	+	0.0477002i	$0.984811\pi$
$84$	0.161596	−	0.497342i	0.0176316	−	0.0542645i
$85$	4.16407	+	1.11441i	0.451657	+	0.120875i
$86$	8.47628	−	6.15838i	0.914020	−	0.664075i
$87$	0.589724	−	0.589724i	0.0632250	−	0.0632250i
$88$		0			0
$89$			13.9313i			1.47671i	0.674410	+	0.738357i	$0.264398\pi$
$89$			13.9313i			1.47671i	−0.674410	+	0.738357i	$0.735602\pi$
$90$	7.55176	−	0.398065i	0.796026	−	0.0419597i
$91$	−1.20580	−	3.71107i	−0.126402	−	0.389025i
$92$	−0.368041	+	0.187526i	−0.0383709	+	0.0195510i
$93$	−0.348578	+	0.0552093i	−0.0361458	+	0.00572494i
$94$	−1.41084	−	1.02504i	−0.145517	−	0.105724i
$95$	1.26592	−	12.0796i	0.129881	−	1.23934i
$96$	0.666063	−	0.216417i	0.0679798	−	0.0220880i
$97$	3.28341	+	0.520041i	0.333379	+	0.0528021i	0.320880	−	0.947120i	$-0.396021\pi$
$97$	3.28341	+	0.520041i	0.333379	+	0.0528021i	0.0124992	+	0.999922i	$0.496021\pi$
$98$	−11.1630	−	11.1630i	−1.12763	−	1.12763i
$99$		0			0
$100$	−0.303474	−	0.680504i	−0.0303474	−	0.0680504i
$101$	−7.81220	−	10.7526i	−0.777343	−	1.06992i	−0.995570	−	0.0940226i	$-0.970027\pi$
$101$	−7.81220	−	10.7526i	−0.777343	−	1.06992i	0.218227	−	0.975898i	$-0.429973\pi$
$102$	−1.06805	+	2.09617i	−0.105753	+	0.207551i
$103$	−4.57730	−	8.98346i	−0.451015	−	0.885167i	−0.998820	−	0.0485610i	$-0.984536\pi$
$103$	−4.57730	−	8.98346i	−0.451015	−	0.885167i	0.547805	−	0.836606i	$-0.315464\pi$
$104$	1.47639	−	2.03208i	0.144772	−	0.199262i
$105$	−3.18936	+	7.16927i	−0.311250	+	0.699649i
$106$	−12.6616	−	4.11399i	−1.22980	−	0.399586i
$107$	5.49455	+	2.79962i	0.531179	+	0.270649i	0.698942	−	0.715178i	$-0.253654\pi$
$107$	5.49455	+	2.79962i	0.531179	+	0.270649i	−0.167763	+	0.985827i	$0.553654\pi$
$108$	−0.102991	+	0.650258i	−0.00991029	+	0.0625711i
$109$	19.9193			1.90793			0.953964	−	0.299922i	$-0.0969607\pi$
$109$	19.9193			1.90793			0.953964	+	0.299922i	$0.0969607\pi$
$110$		0			0
$111$	4.10659			0.389780
$112$	2.81958	−	17.8021i	0.266425	−	1.68214i
$113$	10.8009	+	5.50334i	1.01607	+	0.517711i	0.880995	−	0.473125i	$-0.156874\pi$
$113$	10.8009	+	5.50334i	1.01607	+	0.517711i	0.135070	+	0.990836i	$0.456874\pi$
$114$	6.30431	+	2.04839i	0.590453	+	0.191850i
$115$	5.78567	−	2.22292i	0.539517	−	0.207289i
$116$	−0.0877525	+	0.120781i	−0.00814762	+	0.0112142i
$117$	0.969512	+	1.90277i	0.0896314	+	0.175912i
$118$	−6.19591	+	12.1602i	−0.570380	+	1.11943i
$119$	4.77644	+	6.57421i	0.437856	+	0.602657i
$120$	−4.94030	+	1.05166i	−0.450986	+	0.0960028i
$121$		0			0
$122$	8.06650	+	8.06650i	0.730306	+	0.730306i
$123$	−0.474809	−	0.0752023i	−0.0428120	−	0.00678076i
$124$	0.0600846	−	0.0195227i	0.00539576	−	0.00175319i
$125$	3.46458	+	10.6300i	0.309881	+	0.950775i
$126$	11.5333	+	8.37945i	1.02747	+	0.746501i
$127$	−1.14526	+	0.181391i	−0.101625	+	0.0160958i	−0.207040	−	0.978333i	$-0.566383\pi$
$127$	−1.14526	+	0.181391i	−0.101625	+	0.0160958i	0.105415	+	0.994428i	$0.466383\pi$
$128$	11.0583	−	5.63447i	0.977422	−	0.498021i
$129$	−1.83857	−	5.65853i	−0.161877	−	0.498206i
$130$	2.02970	−	2.25558i	0.178016	−	0.197827i
$131$			14.4532i			1.26278i	0.775465	+	0.631390i	$0.217515\pi$
$131$			14.4532i			1.26278i	−0.775465	+	0.631390i	$0.782485\pi$
$132$		0			0
$133$	16.1904	−	16.1904i	1.40388	−	1.40388i
$134$	5.12438	−	3.72308i	0.442679	−	0.321625i
$135$	2.55393	−	9.54294i	0.219807	−	0.821326i
$136$	−1.61644	+	4.97488i	−0.138608	+	0.426592i
$137$	1.93536	+	12.2194i	0.165349	+	1.04397i	0.921161	+	0.389182i	$0.127242\pi$
$137$	1.93536	+	12.2194i	0.165349	+	1.04397i	−0.755812	+	0.654789i	$0.772758\pi$
$138$	0.529164	+	3.34101i	0.0450455	+	0.284406i
$139$	−0.311916	+	0.959978i	−0.0264563	+	0.0814242i	−0.963413	−	0.268022i	$-0.913630\pi$
$139$	−0.311916	+	0.959978i	−0.0264563	+	0.0814242i	0.936957	+	0.349446i	$0.113630\pi$
$140$	0.363136	−	1.35688i	0.0306906	−	0.114678i
$141$	−0.801176	+	0.582089i	−0.0674712	+	0.0490207i
$142$	8.90567	−	8.90567i	0.747347	−	0.747347i
$143$		0			0
$144$			9.86430i			0.822025i
$145$	1.49845	−	1.66522i	0.124440	−	0.138289i
$146$	−2.47359	−	7.61292i	−0.204716	−	0.630050i
$147$	−7.98777	+	4.06997i	−0.658820	+	0.335686i
$148$	−0.726069	+	0.114998i	−0.0596825	+	0.00945279i
$149$	0.987462	+	0.717433i	0.0808961	+	0.0587744i	0.627498	−	0.778618i	$-0.284079\pi$
$149$	0.987462	+	0.717433i	0.0808961	+	0.0587744i	−0.546602	+	0.837392i	$0.684079\pi$
$150$	−6.06802	+	0.641491i	−0.495452	+	0.0523776i
$151$	−1.50909	+	0.490333i	−0.122808	+	0.0399027i	−0.369776	−	0.929121i	$-0.620566\pi$
$151$	−1.50909	+	0.490333i	−0.122808	+	0.0399027i	0.246968	+	0.969024i	$0.420566\pi$
$152$	14.5574	+	2.30566i	1.18076	+	0.187014i
$153$	−3.14474	−	3.14474i	−0.254237	−	0.254237i
$154$		0			0
$155$	−0.927195	+	0.197375i	−0.0744741	+	0.0158535i
$156$	0.0674990	+	0.0929044i	0.00540425	+	0.00743831i
$157$	3.36823	−	6.61053i	0.268814	−	0.527578i	−0.716656	−	0.697427i	$-0.754328\pi$
$157$	3.36823	−	6.61053i	0.268814	−	0.527578i	0.985470	+	0.169849i	$0.0543281\pi$
$158$	−1.52021	−	2.98358i	−0.120942	−	0.237361i
$159$	−4.44375	+	6.11630i	−0.352412	+	0.485054i
$160$	1.75600	−	0.674677i	0.138824	−	0.0533379i
$161$	11.1123	+	3.61062i	0.875775	+	0.284556i
$162$	−4.23614	−	2.15842i	−0.332822	−	0.169581i
$163$	2.41047	−	15.2191i	0.188803	−	1.19205i	−0.693177	−	0.720767i	$-0.743790\pi$
$163$	2.41047	−	15.2191i	0.188803	−	1.19205i	0.881980	−	0.471287i	$-0.156210\pi$
$164$	0.0860550			0.00671976
$165$		0			0
$166$	2.91533			0.226273
$167$	0.649228	−	4.09907i	0.0502388	−	0.317195i	−0.949752	−	0.313002i	$-0.898665\pi$
$167$	0.649228	−	4.09907i	0.0502388	−	0.317195i	0.999991	−	0.00419313i	$-0.00133472\pi$
$168$	−8.48407	−	4.32285i	−0.654560	−	0.333515i
$169$	−11.5488	−	3.75243i	−0.888368	−	0.288648i
$170$	−2.56849	+	5.77362i	−0.196994	+	0.442817i
$171$	−7.36554	+	10.1378i	−0.563257	+	0.775257i
$172$	0.483528	+	0.948977i	0.0368687	+	0.0723588i
$173$	1.96566	−	3.85782i	0.149446	−	0.293305i	−0.804132	−	0.594451i	$-0.797369\pi$
$173$	1.96566	−	3.85782i	0.149446	−	0.293305i	0.953578	+	0.301146i	$0.0973693\pi$
$174$	0.718626	+	0.989103i	0.0544789	+	0.0749837i
$175$	−7.54127	+	19.6813i	−0.570066	+	1.48777i
$176$		0			0
$177$	5.48016	+	5.48016i	0.411914	+	0.411914i
$178$	−20.1712	−	3.19480i	−1.51190	−	0.239461i
$179$	−3.53755	+	1.14942i	−0.264409	+	0.0859116i	−0.438221	−	0.898867i	$-0.644391\pi$
$179$	−3.53755	+	1.14942i	−0.264409	+	0.0859116i	0.173812	+	0.984779i	$0.444391\pi$
$180$	−0.0801234	+	0.764550i	−0.00597204	+	0.0569862i
$181$	−4.89177	−	3.55408i	−0.363603	−	0.264173i	0.390951	−	0.920412i	$-0.372146\pi$
$181$	−4.89177	−	3.55408i	−0.363603	−	0.264173i	−0.754553	+	0.656239i	$0.772146\pi$
$182$	5.64979	−	0.894839i	0.418791	−	0.0663299i
$183$	5.77206	−	2.94101i	0.426683	−	0.217406i
$184$	2.32419	+	7.15313i	0.171342	+	0.527335i
$185$	11.0152	−	0.580629i	0.809855	−	0.0426887i
$186$		−	0.517369i		−	0.0379353i
$187$		0			0
$188$	0.125352	−	0.125352i	0.00914227	−	0.00914227i
$189$	15.0663	−	10.9463i	1.09591	−	0.796228i
$190$	17.1999	+	4.60311i	1.24781	+	0.333944i
$191$	−5.11566	+	15.7444i	−0.370156	+	1.13922i	0.576532	+	0.817074i	$0.304405\pi$
$191$	−5.11566	+	15.7444i	−0.370156	+	1.13922i	−0.946689	+	0.322150i	$0.895595\pi$
$192$	−0.953056	−	6.01736i	−0.0687809	−	0.434266i
$193$	−2.65377	−	16.7553i	−0.191023	−	1.20607i	−0.877737	−	0.479143i	$-0.840948\pi$
$193$	−2.65377	−	16.7553i	−0.191023	−	1.20607i	0.686714	−	0.726928i	$-0.259052\pi$
$194$	−1.50594	+	4.63481i	−0.108120	+	0.332760i
$195$	−0.862013	−	1.49201i	−0.0617300	−	0.106845i
$196$	1.29831	−	0.943281i	0.0927367	−	0.0673772i
$197$	9.63624	−	9.63624i	0.686554	−	0.686554i	−0.274915	−	0.961469i	$-0.588650\pi$
$197$	9.63624	−	9.63624i	0.686554	−	0.686554i	0.961469	+	0.274915i	$0.0886496\pi$
$198$		0			0
$199$		−	19.4166i		−	1.37640i	−0.725519	−	0.688202i	$-0.758400\pi$
$199$		−	19.4166i		−	1.37640i	0.725519	−	0.688202i	$-0.241600\pi$
$200$	−13.1028	+	3.51940i	−0.926510	+	0.248859i
$201$	−1.11152	−	3.42089i	−0.0784003	−	0.241291i
$202$	17.3602	−	8.84549i	1.22146	−	0.622366i
$203$	4.17104	−	0.660628i	0.292750	−	0.0463670i
$204$	−0.193477	−	0.140569i	−0.0135461	−	0.00984183i
$205$	−1.28423	−	0.134584i	−0.0896943	−	0.00939978i
$206$	14.0569	−	4.56736i	0.979391	−	0.318223i
$207$	−6.31587	−	1.00034i	−0.438983	−	0.0695281i
$208$	2.79877	+	2.79877i	0.194060	+	0.194060i
$209$		0			0
$210$	−9.64903	−	6.26200i	−0.665846	−	0.432119i
$211$	3.75651	+	5.17039i	0.258608	+	0.355944i	0.918503	−	0.395414i	$-0.129399\pi$
$211$	3.75651	+	5.17039i	0.258608	+	0.355944i	−0.659894	+	0.751358i	$0.729399\pi$
$212$	0.614405	−	1.20584i	0.0421975	−	0.0828173i
$213$	−3.24697	−	6.37254i	−0.222479	−	0.436639i
$214$	−5.31362	+	7.31357i	−0.363232	+	0.499946i
$215$	−5.73171	−	14.9181i	−0.390899	−	1.01741i
$216$	11.4011	+	3.70444i	0.775746	+	0.252055i
$217$	−1.59229	−	0.811311i	−0.108092	−	0.0550754i
$218$	−4.56802	+	28.8413i	−0.309385	+	1.95338i
$219$	−4.54564			−0.307166
$220$		0			0
$221$	−1.78450			−0.120038
$222$	−0.941746	+	5.94595i	−0.0632058	+	0.399066i
$223$	12.6478	+	6.44437i	0.846958	+	0.431547i	0.822915	−	0.568164i	$-0.192346\pi$
$223$	12.6478	+	6.44437i	0.846958	+	0.431547i	0.0240429	+	0.999711i	$0.492346\pi$
$224$	3.37269	+	1.09585i	0.225347	+	0.0732198i
$225$	2.39141	−	11.2843i	0.159428	−	0.752289i
$226$	−10.4453	+	14.3767i	−0.694808	+	0.956321i
$227$	−3.75819	−	7.37587i	−0.249440	−	0.489554i	0.732004	−	0.681300i	$-0.238585\pi$
$227$	−3.75819	−	7.37587i	−0.249440	−	0.489554i	−0.981445	+	0.191746i	$0.938585\pi$
$228$	−0.305918	+	0.600398i	−0.0202599	+	0.0397623i
$229$	−11.5202	−	15.8563i	−0.761279	−	1.04781i	−0.997107	−	0.0760158i	$-0.975780\pi$
$229$	−11.5202	−	15.8563i	−0.761279	−	1.04781i	0.235828	−	0.971795i	$-0.424220\pi$
$230$	1.89178	+	8.88688i	0.124740	+	0.585984i
$231$		0			0
$232$	1.92221	+	1.92221i	0.126199	+	0.126199i
$233$	3.66743	+	0.580864i	0.240261	+	0.0380536i	0.275404	−	0.961329i	$-0.411188\pi$
$233$	3.66743	+	0.580864i	0.240261	+	0.0380536i	−0.0351424	+	0.999382i	$0.511188\pi$
$234$	−2.97737	+	0.967407i	−0.194637	+	0.0632414i
$235$	−2.06672	+	1.67463i	−0.134818	+	0.109241i
$236$	−1.12239	−	0.815463i	−0.0730613	−	0.0530821i
$237$	−1.87814	+	0.297468i	−0.121998	+	0.0193226i
$238$	−10.6142	+	5.40820i	−0.688016	+	0.350562i
$239$	−0.992845	−	3.05566i	−0.0642218	−	0.197654i	0.913797	−	0.406171i	$-0.133136\pi$
$239$	−0.992845	−	3.05566i	−0.0642218	−	0.197654i	−0.978019	+	0.208517i	$0.933136\pi$
$240$	−0.418966	−	7.94829i	−0.0270441	−	0.513060i
$241$		−	25.4119i		−	1.63693i	−0.574559	−	0.818463i	$-0.694826\pi$
$241$		−	25.4119i		−	1.63693i	0.574559	−	0.818463i	$-0.305174\pi$
$242$		0			0
$243$	−11.2809	+	11.2809i	−0.723671	+	0.723671i
$244$	−0.938177	+	0.681626i	−0.0600606	+	0.0436366i
$245$	−20.8504	+	12.0464i	−1.33208	+	0.769617i
$246$	0.217772	−	0.670232i	0.0138846	−	0.0427324i
$247$	0.786564	+	4.96617i	0.0500479	+	0.315990i
$248$	−0.179955	−	1.13619i	−0.0114272	−	0.0721482i
$249$	0.511587	−	1.57450i	0.0324205	−	0.0997800i
$250$	−16.1857	+	2.57865i	−1.02368	+	0.163088i
$251$	−13.1914	+	9.58411i	−0.832634	+	0.604944i	−0.920303	−	0.391206i	$-0.872058\pi$
$251$	−13.1914	+	9.58411i	−0.832634	+	0.604944i	0.0876695	+	0.996150i	$0.472058\pi$
$252$	−1.02473	+	1.02473i	−0.0645519	+	0.0645519i
$253$		0			0
$254$		−	1.69982i		−	0.106656i
$255$	2.66748	+	2.40035i	0.167044	+	0.150316i
$256$	1.09922	+	3.38304i	0.0687011	+	0.211440i
$257$	14.4379	−	7.35648i	0.900611	−	0.458884i	0.0585613	−	0.998284i	$-0.481349\pi$
$257$	14.4379	−	7.35648i	0.900611	−	0.458884i	0.842050	+	0.539399i	$0.181349\pi$
$258$	8.61465	−	1.36443i	0.536325	−	0.0849455i
$259$	16.8229	+	12.2225i	1.04532	+	0.759470i
$260$	0.194190	+	0.239657i	0.0120432	+	0.0148629i
$261$	−2.19809	+	0.714202i	−0.136058	+	0.0442080i
$262$	−20.9268	−	3.31449i	−1.29286	−	0.204770i
$263$	0.677874	+	0.677874i	0.0417995	+	0.0417995i	0.727698	−	0.685898i	$-0.240590\pi$
$263$	0.677874	+	0.677874i	0.0417995	+	0.0417995i	−0.685898	+	0.727698i	$0.740590\pi$
$264$		0			0
$265$	−11.0548	+	17.0342i	−0.679092	+	1.04640i
$266$	19.7293	+	27.1550i	1.20968	+	1.66498i
$267$	−5.26512	+	10.3334i	−0.322220	+	0.632393i
$268$	0.292319	+	0.573709i	0.0178562	+	0.0350448i
$269$	16.7071	−	22.9954i	1.01865	−	1.40205i	0.105505	−	0.994419i	$-0.466354\pi$
$269$	16.7071	−	22.9954i	1.01865	−	1.40205i	0.913146	−	0.407633i	$-0.133646\pi$
$270$	13.2316	+	5.88629i	0.805250	+	0.358228i
$271$	−29.2449	−	9.50226i	−1.77650	−	0.577221i	−0.777819	−	0.628488i	$-0.783674\pi$
$271$	−29.2449	−	9.50226i	−1.77650	−	0.577221i	−0.998685	+	0.0512672i	$0.983674\pi$
$272$	−7.34440	−	3.74216i	−0.445320	−	0.226902i
$273$	0.508153	−	3.20835i	0.0307548	−	0.194178i
$274$	−18.1363			−1.09565
$275$		0			0
$276$	−0.343863			−0.0206981
$277$	−4.71626	+	29.7773i	−0.283372	+	1.78914i	0.276966	+	0.960880i	$0.410671\pi$
$277$	−4.71626	+	29.7773i	−0.283372	+	1.78914i	−0.560339	+	0.828264i	$0.689329\pi$
$278$	−1.31843	−	0.671772i	−0.0790740	−	0.0402902i
$279$	0.930168	+	0.302230i	0.0556877	+	0.0180940i
$280$	−23.3683	−	10.3958i	−1.39652	−	0.621265i
$281$	5.00737	−	6.89206i	0.298715	−	0.411146i	−0.633106	−	0.774065i	$-0.718220\pi$
$281$	5.00737	−	6.89206i	0.298715	−	0.411146i	0.931820	+	0.362920i	$0.118220\pi$
$282$	−0.659079	−	1.29352i	−0.0392476	−	0.0770277i
$283$	−4.33188	+	8.50180i	−0.257504	+	0.505380i	−0.983176	−	0.182661i	$-0.941529\pi$
$283$	−4.33188	+	8.50180i	−0.257504	+	0.505380i	0.725672	+	0.688041i	$0.241529\pi$
$284$	0.752536	+	1.03578i	0.0446548	+	0.0614621i
$285$	5.50430	−	8.48150i	0.326046	−	0.502401i
$286$		0			0
$287$	−1.72125	−	1.72125i	−0.101602	−	0.101602i
$288$	−1.91692	−	0.303611i	−0.112956	−	0.0178904i
$289$	−12.6336	+	4.10489i	−0.743151	+	0.241464i
$290$	2.06744	+	2.55150i	0.121404	+	0.149829i
$291$	2.23889	+	1.62665i	0.131246	+	0.0953558i
$292$	0.803697	−	0.127293i	0.0470328	−	0.00744926i
$293$	−2.05595	+	1.04756i	−0.120110	+	0.0611992i	−0.513013	−	0.858381i	$-0.671471\pi$
$293$	−2.05595	+	1.04756i	−0.120110	+	0.0611992i	0.392903	+	0.919580i	$0.371471\pi$
$294$	−4.06114	−	12.4989i	−0.236850	−	0.728950i
$295$	15.4744	+	13.9248i	0.900957	+	0.810731i
$296$			13.3854i			0.778013i
$297$		0			0
$298$	−1.26523	+	1.26523i	−0.0732926	+	0.0732926i
$299$	−2.07580	+	1.50816i	−0.120047	+	0.0872191i
$300$	0.0320877	−	0.619449i	0.00185259	−	0.0357639i
$301$	9.30981	−	28.6526i	0.536609	−	1.65151i
$302$	−0.363883	−	2.29746i	−0.0209391	−	0.132204i
$303$	−1.73084	−	10.9281i	−0.0994342	−	0.627803i
$304$	−7.17702	+	22.0886i	−0.411630	+	1.26687i
$305$	15.0667	−	8.70487i	0.862719	−	0.498440i
$306$	5.27446	−	3.83212i	0.301521	−	0.219068i
$307$	−12.4635	+	12.4635i	−0.711327	+	0.711327i	−0.966813	−	0.255486i	$-0.917765\pi$
$307$	−12.4635	+	12.4635i	−0.711327	+	0.711327i	0.255486	+	0.966813i	$0.417765\pi$
$308$		0			0
$309$		−	8.39331i		−	0.477479i
$310$	−0.0731506	−	1.38775i	−0.00415467	−	0.0788191i
$311$	4.67035	+	14.3738i	0.264831	+	0.815066i	0.991732	+	0.128324i	$0.0409598\pi$
$311$	4.67035	+	14.3738i	0.264831	+	0.815066i	−0.726901	+	0.686742i	$0.759040\pi$
$312$	1.86309	−	0.949292i	0.105477	−	0.0537431i
$313$	−25.7947	+	4.08547i	−1.45800	+	0.230925i	−0.834547	−	0.550936i	$-0.814271\pi$
$313$	−25.7947	+	4.08547i	−1.45800	+	0.230925i	−0.623453	+	0.781861i	$0.714271\pi$
$314$	8.79900	+	6.39285i	0.496556	+	0.360769i
$315$	16.8950	−	13.6898i	0.951924	−	0.771331i
$316$	0.323736	−	0.105188i	0.0182116	−	0.00591730i
$317$	−27.9785	−	4.43136i	−1.57143	−	0.248890i	−0.690925	−	0.722926i	$-0.742797\pi$
$317$	−27.9785	−	4.43136i	−1.57143	−	0.248890i	−0.880505	+	0.474036i	$0.842797\pi$
$318$	−7.83675	−	7.83675i	−0.439463	−	0.439463i
$319$		0			0
$320$	−3.40720	−	16.0058i	−0.190469	−	0.894751i
$321$	3.01745	+	4.15317i	0.168418	+	0.231807i
$322$	−7.77618	+	15.2616i	−0.433349	+	0.850496i
$323$	−4.75381	−	9.32988i	−0.264509	−	0.519128i
$324$	0.284076	−	0.390997i	0.0157820	−	0.0217221i
$325$	−2.52316	−	3.88018i	−0.139960	−	0.215233i
$326$	21.4831	+	6.98027i	1.18984	+	0.386602i
$327$	14.7750	+	7.52822i	0.817057	+	0.416311i
$328$	0.245122	−	1.54764i	0.0135346	−	0.0854542i
$329$	−5.01454			−0.276461
$330$		0			0
$331$	−24.6455			−1.35464			−0.677319	−	0.735690i	$-0.736858\pi$
$331$	−24.6455			−1.35464			−0.677319	+	0.735690i	$0.736858\pi$
$332$	−0.0463604	+	0.292708i	−0.00254436	+	0.0160644i
$333$	−10.1400	−	5.16658i	−0.555667	−	0.283127i
$334$	5.78618	+	1.88004i	0.316606	+	0.102871i
$335$	−3.46513	−	9.01881i	−0.189320	−	0.492750i
$336$	8.81944	−	12.1389i	0.481140	−	0.662232i
$337$	14.0809	+	27.6353i	0.767035	+	1.50539i	0.860321	+	0.509752i	$0.170263\pi$
$337$	14.0809	+	27.6353i	0.767035	+	1.50539i	−0.0932862	+	0.995639i	$0.529737\pi$
$338$	8.08160	−	15.8610i	0.439581	−	0.862726i
$339$	5.93156	+	8.16409i	0.322158	+	0.443413i
$340$	−0.538845	−	0.349698i	−0.0292230	−	0.0189650i
$341$		0			0
$342$	−12.9895	−	12.9895i	−0.702390	−	0.702390i
$343$	−15.6919	−	2.48535i	−0.847282	−	0.134196i
$344$	18.4440	−	5.99282i	0.994434	−	0.323111i
$345$	5.13158	+	0.537779i	0.276275	+	0.0289531i
$346$	5.13499	+	3.73079i	0.276059	+	0.200568i
$347$	−29.8141	+	4.72209i	−1.60051	+	0.253495i	−0.891942	−	0.452150i	$-0.850657\pi$
$347$	−29.8141	+	4.72209i	−1.60051	+	0.253495i	−0.708565	+	0.705646i	$0.750657\pi$
$348$	−0.110737	+	0.0564232i	−0.00593612	+	0.00302460i
$349$	6.60284	+	20.3215i	0.353442	+	1.08778i	0.956907	+	0.290393i	$0.0937862\pi$
$349$	6.60284	+	20.3215i	0.353442	+	1.08778i	−0.603465	+	0.797389i	$0.706214\pi$
$350$	−26.7673	−	15.4325i	−1.43077	−	0.824901i
$351$			4.08959i			0.218286i
$352$		0			0
$353$	−2.82626	+	2.82626i	−0.150427	+	0.150427i	−0.778309	−	0.627882i	$-0.783922\pi$
$353$	−2.82626	+	2.82626i	−0.150427	+	0.150427i	0.627882	+	0.778309i	$0.283922\pi$
$354$	−9.19150	+	6.67801i	−0.488523	+	0.354932i
$355$	−9.61045	−	16.6342i	−0.510070	−	0.882849i
$356$	0.641536	−	1.97445i	0.0340014	−	0.104645i
$357$	1.05825	+	6.68153i	0.0560085	+	0.353624i
$358$	−0.853000	−	5.38563i	−0.0450824	−	0.284639i
$359$	−3.31893	+	10.2146i	−0.175167	+	0.539107i	−0.999641	−	0.0267919i	$-0.991471\pi$
$359$	−3.31893	+	10.2146i	−0.175167	+	0.539107i	0.824474	+	0.565899i	$0.191471\pi$
$360$	13.5217	+	3.61874i	0.712656	+	0.190724i
$361$	−8.49793	+	6.17411i	−0.447260	+	0.324953i
$362$	6.26778	−	6.26778i	0.329427	−	0.329427i
$363$		0			0
$364$			0.581487i			0.0304782i
$365$	−12.1929	+	0.642706i	−0.638206	+	0.0336408i
$366$	2.93462	+	9.03185i	0.153395	+	0.472102i
$367$	−30.8327	+	15.7100i	−1.60945	+	0.820057i	−0.609832	+	0.792531i	$0.708763\pi$
$367$	−30.8327	+	15.7100i	−1.60945	+	0.820057i	−0.999621	+	0.0275263i	$0.991237\pi$
$368$	−11.7060	+	1.85405i	−0.610217	+	0.0966489i
$369$	1.07778	+	0.783055i	0.0561072	+	0.0407642i
$370$	−1.68538	+	16.0822i	−0.0876186	+	0.836071i
$371$	−36.4081	+	11.8297i	−1.89022	+	0.614168i
$372$	0.0519454	+	0.00822735i	0.00269324	+	0.000426568i
$373$	9.90454	+	9.90454i	0.512838	+	0.512838i	0.915395	−	0.402557i	$-0.131879\pi$
$373$	9.90454	+	9.90454i	0.512838	+	0.512838i	−0.402557	+	0.915395i	$0.631879\pi$
$374$		0			0
$375$	−1.44763	+	9.19406i	−0.0747555	+	0.474779i
$376$	−1.89732	−	2.61144i	−0.0978468	−	0.134675i
$377$	−0.421019	+	0.826295i	−0.0216836	+	0.0425564i
$378$	12.3941	+	24.3249i	0.637486	+	1.25114i
$379$	15.5768	−	21.4396i	0.800125	−	1.10128i	−0.192648	−	0.981268i	$-0.561708\pi$
$379$	15.5768	−	21.4396i	0.800125	−	1.10128i	0.992773	−	0.120009i	$-0.0382925\pi$
$380$	−0.735683	+	1.65372i	−0.0377398	+	0.0848340i
$381$	−0.918034	−	0.298287i	−0.0470323	−	0.0152817i
$382$	−21.6232	−	11.0176i	−1.10634	−	0.563709i
$383$	3.76032	−	23.7417i	0.192143	−	1.21315i	−0.683414	−	0.730031i	$-0.739505\pi$
$383$	3.76032	−	23.7417i	0.192143	−	1.21315i	0.875557	−	0.483115i	$-0.160495\pi$
$384$	10.3318			0.527243
$385$		0			0
$386$	24.8686			1.26578
$387$	−2.57932	+	16.2852i	−0.131114	+	0.827822i
$388$	−0.441401	−	0.224905i	−0.0224087	−	0.0114178i
$389$	7.17613	+	2.33167i	0.363844	+	0.118220i	0.485233	−	0.874385i	$-0.338735\pi$
$389$	7.17613	+	2.33167i	0.363844	+	0.118220i	−0.121389	+	0.992605i	$0.538735\pi$
$390$	2.35797	−	0.905958i	0.119400	−	0.0458750i
$391$	3.14080	−	4.32295i	0.158837	−	0.218621i
$392$	−13.2661	−	26.0362i	−0.670039	−	1.31503i
$393$	−5.46236	+	10.7205i	−0.275540	+	0.540777i
$394$	11.7425	+	16.1622i	0.591580	+	0.814240i
$395$	−4.99573	+	1.06346i	−0.251362	+	0.0535083i
$396$		0			0
$397$	16.0995	+	16.0995i	0.808008	+	0.808008i	0.984332	−	0.176324i	$-0.0564206\pi$
$397$	16.0995	+	16.0995i	0.808008	+	0.808008i	−0.176324	+	0.984332i	$0.556421\pi$
$398$	28.1133	+	4.45272i	1.40919	+	0.223195i
$399$	18.1279	−	5.89012i	0.907532	−	0.294875i
$400$	−2.24761	−	21.2607i	−0.112381	−	1.06303i
$401$	19.5313	+	14.1903i	0.975347	+	0.708631i	0.956664	−	0.291194i	$-0.0940526\pi$
$401$	19.5313	+	14.1903i	0.975347	+	0.708631i	0.0186833	+	0.999825i	$0.494053\pi$
$402$	5.20803	−	0.824871i	0.259753	−	0.0411408i
$403$	0.349664	−	0.178163i	0.0174180	−	0.00887493i
$404$	0.612047	+	1.88369i	0.0304505	+	0.0937169i
$405$	−4.85086	+	5.39070i	−0.241041	+	0.267866i
$406$			6.19078i			0.307243i
$407$		0			0
$408$	−3.07915	+	3.07915i	−0.152441	+	0.152441i
$409$	4.73749	−	3.44199i	0.234254	−	0.170195i	−0.464466	−	0.885591i	$-0.653754\pi$
$409$	4.73749	−	3.44199i	0.234254	−	0.170195i	0.698719	+	0.715396i	$0.253754\pi$
$410$	0.489372	−	1.82857i	0.0241683	−	0.0903069i
$411$	−3.18259	+	9.79502i	−0.156986	+	0.483153i
$412$	0.235041	+	1.48399i	0.0115796	+	0.0731108i
$413$	6.13906	+	38.7605i	0.302083	+	1.90728i
$414$	2.89678	−	8.91538i	0.142369	−	0.438167i
$415$	1.14963	−	4.29567i	0.0564329	−	0.210866i
$416$	−0.630025	+	0.457740i	−0.0308895	+	0.0224425i
$417$	−0.594169	+	0.594169i	−0.0290966	+	0.0290966i
$418$		0			0
$419$		−	11.0599i		−	0.540311i	−0.962817	−	0.270155i	$-0.912925\pi$
$419$		−	11.0599i		−	0.540311i	0.962817	−	0.270155i	$-0.0870751\pi$
$420$	0.782166	−	0.869212i	0.0381658	−	0.0424132i
$421$	2.43291	+	7.48773i	0.118573	+	0.364930i	0.992675	−	0.120812i	$-0.0385497\pi$
$421$	2.43291	+	7.48773i	0.118573	+	0.364930i	−0.874103	+	0.485741i	$0.838550\pi$
$422$	−8.34769	+	4.25336i	−0.406359	+	0.207050i
$423$	2.71060	−	0.429317i	0.131794	−	0.0208741i
$424$	−19.9361	−	14.4844i	−0.968182	−	0.703426i
$425$	7.49445	+	6.06138i	0.363534	+	0.294020i
$426$	9.97144	−	3.23992i	0.483118	−	0.156975i
$427$	32.3989	+	5.13149i	1.56790	+	0.248330i
$428$	−0.649807	−	0.649807i	−0.0314096	−	0.0314096i
$429$		0			0
$430$	22.9144	−	4.87787i	1.10503	−	0.235232i
$431$	−4.29257	−	5.90821i	−0.206766	−	0.284589i	0.693022	−	0.720916i	$-0.256279\pi$
$431$	−4.29257	−	5.90821i	−0.206766	−	0.284589i	−0.899788	+	0.436328i	$0.856279\pi$
$432$	−8.57602	+	16.8314i	−0.412614	+	0.809801i
$433$	2.29152	+	4.49736i	0.110123	+	0.216129i	0.939491	−	0.342574i	$-0.111299\pi$
$433$	2.29152	+	4.49736i	0.110123	+	0.216129i	−0.829367	+	0.558704i	$0.811299\pi$
$434$	1.53986	−	2.11943i	0.0739154	−	0.101736i
$435$	1.74080	−	0.668837i	0.0834652	−	0.0320683i
$436$	−2.82312	−	0.917286i	−0.135203	−	0.0439301i
$437$	−13.4150	−	6.83526i	−0.641724	−	0.326975i
$438$	1.04243	−	6.58166i	0.0498093	−	0.314484i
$439$	−1.29778			−0.0619394			−0.0309697	−	0.999520i	$-0.509860\pi$
$439$	−1.29778			−0.0619394			−0.0309697	+	0.999520i	$0.509860\pi$
$440$		0			0
$441$	24.8439			1.18304
$442$	0.409231	−	2.58378i	0.0194651	−	0.122898i
$443$	−13.7222	−	6.99183i	−0.651963	−	0.332192i	0.0965341	−	0.995330i	$-0.469224\pi$
$443$	−13.7222	−	6.99183i	−0.651963	−	0.332192i	−0.748497	+	0.663138i	$0.769224\pi$
$444$	−0.582016	−	0.189108i	−0.0276212	−	0.00897469i
$445$	−12.6618	+	28.4620i	−0.600225	+	1.34923i
$446$	−12.2313	+	16.8349i	−0.579169	+	0.797157i
$447$	0.461296	+	0.905345i	0.0218186	+	0.0428213i
$448$	14.0053	−	27.4870i	0.661691	−	1.29864i
$449$	−7.12560	−	9.80755i	−0.336278	−	0.462847i	0.607072	−	0.794647i	$-0.292344\pi$
$449$	−7.12560	−	9.80755i	−0.336278	−	0.462847i	−0.943350	+	0.331800i	$0.892344\pi$
$450$	15.7902	+	6.05033i	0.744359	+	0.285215i
$451$		0			0
$452$	−1.27736	−	1.27736i	−0.0600818	−	0.0600818i
$453$	−1.30466	−	0.206638i	−0.0612984	−	0.00970872i
$454$	11.5414	−	3.75003i	0.541666	−	0.175998i
$455$	0.909407	−	8.67772i	0.0426337	−	0.406818i
$456$	9.92637	+	7.21193i	0.464845	+	0.337729i
$457$	3.46749	−	0.549197i	0.162202	−	0.0256903i	−0.0748050	−	0.997198i	$-0.523833\pi$
$457$	3.46749	−	0.549197i	0.162202	−	0.0256903i	0.237007	+	0.971508i	$0.423833\pi$
$458$	25.6002	−	13.0440i	1.19622	−	0.609505i
$459$	−2.63181	−	8.09989i	−0.122843	−	0.378071i
$460$	−0.922354	+	0.0486187i	−0.0430050	+	0.00226686i
$461$		−	5.45336i		−	0.253988i	−0.991903	−	0.126994i	$-0.959467\pi$
$461$		−	5.45336i		−	0.253988i	0.991903	−	0.126994i	$-0.0405329\pi$
$462$		0			0
$463$	15.3996	−	15.3996i	0.715681	−	0.715681i	−0.252037	−	0.967718i	$-0.581100\pi$
$463$	15.3996	−	15.3996i	0.715681	−	0.715681i	0.967718	+	0.252037i	$0.0811005\pi$
$464$	−3.46555	+	2.51787i	−0.160884	+	0.116889i
$465$	−0.762331	−	0.204019i	−0.0353523	−	0.00946114i
$466$	−1.68207	+	5.17688i	−0.0779205	+	0.239815i
$467$	2.29706	+	14.5030i	0.106295	+	0.671121i	0.982086	+	0.188431i	$0.0603402\pi$
$467$	2.29706	+	14.5030i	0.106295	+	0.671121i	−0.875791	+	0.482690i	$0.839660\pi$
$468$	−0.0497836	−	0.314321i	−0.00230125	−	0.0145295i
$469$	5.62829	−	17.3221i	0.259890	−	0.799861i
$470$	−1.95076	−	3.37645i	−0.0899817	−	0.155744i
$471$	4.99670	−	3.63031i	0.230236	−	0.167276i
$472$	−17.8626	+	17.8626i	−0.822193	+	0.822193i
$473$		0			0
$474$		−	2.78758i		−	0.128038i
$475$	13.5652	−	23.5284i	0.622412	−	1.07956i
$476$	−0.374210	−	1.15170i	−0.0171519	−	0.0527881i
$477$	18.6675	−	9.51158i	0.854728	−	0.435506i
$478$	4.65200	−	0.736804i	0.212777	−	0.0337006i
$479$	3.97527	+	2.88820i	0.181635	+	0.131965i	0.674887	−	0.737921i	$-0.264192\pi$
$479$	3.97527	+	2.88820i	0.181635	+	0.131965i	−0.493253	+	0.869886i	$0.664192\pi$
$480$	1.55748	+	0.163221i	0.0710889	+	0.00744998i
$481$	−4.34288	+	1.41109i	−0.198018	+	0.0643401i
$482$	36.7941	+	5.82761i	1.67592	+	0.265440i
$483$	6.87787	+	6.87787i	0.312954	+	0.312954i
$484$		0			0
$485$	6.23543	+	4.04665i	0.283136	+	0.183749i
$486$	−13.7467	−	18.9207i	−0.623563	−	0.858260i
$487$	4.87474	−	9.56722i	0.220896	−	0.433532i	−0.753789	−	0.657117i	$-0.771776\pi$
$487$	4.87474	−	9.56722i	0.220896	−	0.433532i	0.974685	+	0.223584i	$0.0717758\pi$
$488$	9.58624	+	18.8141i	0.433949	+	0.851672i
$489$	7.53978	−	10.3776i	0.340961	−	0.469292i
$490$	−12.6605	−	32.9520i	−0.571944	−	1.48862i
$491$	−3.09670	−	1.00618i	−0.139752	−	0.0454082i	0.238306	−	0.971190i	$-0.423408\pi$
$491$	−3.09670	−	1.00618i	−0.139752	−	0.0454082i	−0.378058	+	0.925782i	$0.623408\pi$
$492$	0.0638303	+	0.0325232i	0.00287769	+	0.00146626i
$493$	0.302121	−	1.90751i	0.0136068	−	0.0859102i
$494$	−7.37092			−0.331634
$495$		0			0
$496$	1.81272			0.0813935
$497$	5.66533	−	35.7695i	0.254125	−	1.60448i
$498$	2.16241	+	1.10180i	0.0968999	+	0.0493730i
$499$	−8.50419	−	2.76318i	−0.380700	−	0.123697i	0.112414	−	0.993661i	$-0.464142\pi$
$499$	−8.50419	−	2.76318i	−0.380700	−	0.123697i	−0.493114	+	0.869965i	$0.664142\pi$
$500$	−0.00151388	−	1.66611i	−6.77027e−5	−	0.0745105i
$501$	2.03074	−	2.79507i	0.0907267	−	0.124875i
$502$	−10.8518	−	21.2978i	−0.484338	−	0.950567i
$503$	−8.77718	+	17.2262i	−0.391355	+	0.768078i	−0.999672	−	0.0256165i	$-0.991845\pi$
$503$	−8.77718	+	17.2262i	−0.391355	+	0.768078i	0.608317	+	0.793695i	$0.291845\pi$
$504$	15.5102	+	21.3480i	0.690879	+	0.950913i
$505$	−6.18781	−	29.0681i	−0.275354	−	1.29351i
$506$		0			0
$507$	−7.14801	−	7.14801i	−0.317454	−	0.317454i
$508$	0.170667	+	0.0270310i	0.00757213	+	0.00119931i
$509$	−2.68344	+	0.871901i	−0.118941	+	0.0386463i	−0.367883	−	0.929872i	$-0.619917\pi$
$509$	−2.68344	+	0.871901i	−0.118941	+	0.0386463i	0.248942	+	0.968518i	$0.419917\pi$
$510$	−4.08720	+	3.31180i	−0.180984	+	0.146649i
$511$	−18.6215	−	13.5293i	−0.823765	−	0.598500i
$512$	19.3660	−	3.06727i	0.855863	−	0.135555i
$513$	−21.3816	+	10.8945i	−0.944020	+	0.481002i
$514$	7.34050	+	22.5917i	0.323776	+	0.996479i
$515$	−1.18673	−	22.5136i	−0.0522934	−	0.992069i
$516$			0.886635i			0.0390319i
$517$		0			0
$518$	−21.5550	+	21.5550i	−0.947071	+	0.947071i
$519$	2.91601	−	2.11861i	0.127999	−	0.0929965i
$520$	4.86320	−	2.80974i	0.213266	−	0.123215i
$521$	2.93670	−	9.03825i	0.128659	−	0.395973i	−0.865891	−	0.500233i	$-0.833248\pi$
$521$	2.93670	−	9.03825i	0.128659	−	0.395973i	0.994550	+	0.104261i	$0.0332476\pi$
$522$	−0.530019	−	3.34641i	−0.0231983	−	0.146468i
$523$	2.32094	+	14.6538i	0.101488	+	0.640767i	0.985026	+	0.172408i	$0.0551547\pi$
$523$	2.32094	+	14.6538i	0.101488	+	0.640767i	−0.883538	+	0.468359i	$0.844845\pi$
$524$	0.665569	−	2.04841i	0.0290755	−	0.0894853i
$525$	−13.0319	+	11.7483i	−0.568759	+	0.512737i
$526$	−1.13695	+	0.826043i	−0.0495734	+	0.0360172i
$527$	−0.577895	+	0.577895i	−0.0251735	+	0.0251735i
$528$		0			0
$529$			15.3169i			0.665953i
$530$	−22.1288	−	19.9127i	−0.961214	−	0.864954i
$531$	−6.63691	−	20.4263i	−0.288017	−	0.886426i
$532$	−3.04019	+	1.54905i	−0.131809	+	0.0671600i
$533$	0.527970	−	0.0836222i	0.0228689	−	0.00362208i
$534$	−13.7543	−	9.99311i	−0.595208	−	0.432444i
$535$	8.68102	+	10.7135i	0.375313	+	0.463186i
$536$	11.1504	−	3.62299i	0.481625	−	0.156489i
$537$	−3.05834	−	0.484394i	−0.131977	−	0.0209031i
$538$	29.4638	+	29.4638i	1.27027	+	1.27027i
$539$		0			0
$540$	−0.801414	+	1.23489i	−0.0344874	+	0.0531411i
$541$	−18.3773	−	25.2942i	−0.790102	−	1.08748i	−0.994095	−	0.108510i	$-0.965392\pi$
$541$	−18.3773	−	25.2942i	−0.790102	−	1.08748i	0.203993	−	0.978972i	$-0.434608\pi$
$542$	20.4650	−	40.1648i	0.879047	−	1.72523i
$543$	−2.28521	−	4.48497i	−0.0980676	−	0.192469i
$544$	0.953262	−	1.31205i	0.0408708	−	0.0562538i
$545$	40.6957	+	18.1041i	1.74321	+	0.775496i
$546$	4.52886	+	1.47152i	0.193817	+	0.0629751i
$547$	28.1254	+	14.3306i	1.20255	+	0.612732i	0.936310	−	0.351174i	$-0.114217\pi$
$547$	28.1254	+	14.3306i	1.20255	+	0.612732i	0.266244	+	0.963906i	$0.414217\pi$
$548$	0.288409	−	1.82094i	0.0123202	−	0.0777868i
$549$	−17.9525			−0.766194
$550$		0			0
$551$	−5.44169			−0.231824
$552$	−0.979472	+	6.18414i	−0.0416891	+	0.263215i
$553$	−8.57925	−	4.37135i	−0.364827	−	0.185889i
$554$	−42.0331	−	13.6574i	−1.78582	−	0.580247i
$555$	8.38986	+	3.73236i	0.356130	+	0.158430i
$556$	0.0884140	−	0.121691i	0.00374959	−	0.00516087i
$557$	6.02103	+	11.8169i	0.255119	+	0.500700i	0.982672	−	0.185352i	$-0.0593424\pi$
$557$	6.02103	+	11.8169i	0.255119	+	0.500700i	−0.727553	+	0.686052i	$0.759342\pi$
$558$	−0.650912	+	1.27749i	−0.0275553	+	0.0540803i
$559$	3.88872	+	5.35237i	0.164475	+	0.226381i
$560$	21.9403	−	33.8076i	0.927149	−	1.42863i
$561$		0			0
$562$	8.83073	+	8.83073i	0.372502	+	0.372502i
$563$	29.0094	+	4.59464i	1.22260	+	0.193641i	0.734173	−	0.678963i	$-0.237570\pi$
$563$	29.0094	+	4.59464i	1.22260	+	0.193641i	0.488429	+	0.872604i	$0.337570\pi$
$564$	0.140354	−	0.0456037i	0.00590996	−	0.00192026i
$565$	17.0647	+	21.0601i	0.717918	+	0.886006i
$566$	−11.3164	−	8.22184i	−0.475663	−	0.345590i
$567$	−13.5027	+	2.13861i	−0.567059	+	0.0898133i
$568$	20.7713	−	10.5835i	0.871545	−	0.444074i
$569$	−6.62865	−	20.4009i	−0.277887	−	0.855249i	−0.988441	−	0.151606i	$-0.951555\pi$
$569$	−6.62865	−	20.4009i	−0.277887	−	0.855249i	0.710554	−	0.703643i	$-0.248445\pi$
$570$	11.0181	+	9.91473i	0.461499	+	0.415282i
$571$		−	28.7176i		−	1.20179i	−0.799326	−	0.600897i	$-0.794810\pi$
$571$		−	28.7176i		−	1.20179i	0.799326	−	0.600897i	$-0.205190\pi$
$572$		0			0
$573$	−9.74484	+	9.74484i	−0.407097	+	0.407097i
$574$	2.88694	−	2.09748i	0.120499	−	0.0875473i
$575$	13.8406	+	0.716950i	0.577194	+	0.0298989i
$576$	−5.21728	+	16.0571i	−0.217386	+	0.669047i
$577$	1.04691	+	6.60992i	0.0435834	+	0.275175i	0.999850	−	0.0173218i	$-0.00551399\pi$
$577$	1.04691	+	6.60992i	0.0435834	+	0.275175i	−0.956267	+	0.292497i	$0.905514\pi$
$578$	−3.04630	−	19.2336i	−0.126709	−	0.800011i
$579$	4.36399	−	13.4310i	0.181361	−	0.558173i
$580$	−0.289055	+	0.167003i	−0.0120024	+	0.00693441i
$581$	6.78197	−	4.92739i	0.281363	−	0.204422i
$582$	−2.86867	+	2.86867i	−0.118910	+	0.118910i
$583$		0			0
$584$		−	14.8165i		−	0.613112i
$585$	0.251359	+	4.76858i	0.0103924	+	0.197156i
$586$	−1.04529	−	3.21706i	−0.0431804	−	0.132896i
$587$	−32.5198	+	16.5697i	−1.34224	+	0.683904i	−0.969742	−	0.244131i	$-0.921497\pi$
$587$	−32.5198	+	16.5697i	−1.34224	+	0.683904i	−0.372494	+	0.928035i	$0.621497\pi$
$588$	1.31951	−	0.208990i	0.0544156	−	0.00861859i
$589$	1.86298	+	1.35353i	0.0767627	+	0.0557714i
$590$	−23.7104	+	19.2122i	−0.976143	+	0.790955i
$591$	10.7895	−	3.50571i	0.443819	−	0.144205i
$592$	−20.8330	−	3.29962i	−0.856230	−	0.135614i
$593$	26.6656	+	26.6656i	1.09502	+	1.09502i	0.994983	+	0.100040i	$0.0318971\pi$
$593$	26.6656	+	26.6656i	1.09502	+	1.09502i	0.100040	+	0.994983i	$0.468103\pi$
$594$		0			0
$595$	3.78328	+	17.7724i	0.155099	+	0.728599i
$596$	−0.106913	−	0.147153i	−0.00437931	−	0.00602761i
$597$	7.33819	−	14.4020i	0.300332	−	0.589435i
$598$	−1.70764	−	3.35143i	−0.0698305	−	0.137050i
$599$	−22.6895	+	31.2294i	−0.927068	+	1.27600i	0.0339244	+	0.999424i	$0.489199\pi$
$599$	−22.6895	+	31.2294i	−0.927068	+	1.27600i	−0.960992	+	0.276575i	$0.910801\pi$
$600$	−11.0490	−	2.34154i	−0.451073	−	0.0955929i
$601$	−36.2521	−	11.7790i	−1.47875	−	0.480476i	−0.545013	−	0.838428i	$-0.683475\pi$
$601$	−36.2521	−	11.7790i	−1.47875	−	0.480476i	−0.933740	+	0.357951i	$0.883475\pi$
$602$	39.3514	+	20.0505i	1.60384	+	0.817198i
$603$	−1.55934	+	9.84529i	−0.0635013	+	0.400931i
$604$	0.236459			0.00962138
$605$		0			0
$606$	16.2198			0.658884
$607$	−5.66801	+	35.7864i	−0.230057	+	1.45253i	0.554352	+	0.832282i	$0.312966\pi$
$607$	−5.66801	+	35.7864i	−0.230057	+	1.45253i	−0.784409	+	0.620243i	$0.787034\pi$
$608$	−4.07156	−	2.07456i	−0.165123	−	0.0841346i
$609$	3.34350	+	1.08637i	0.135485	+	0.0440219i
$610$	9.14864	+	23.8115i	0.370418	+	0.964098i
$611$	0.647262	−	0.890879i	0.0261854	−	0.0360411i
$612$	0.300881	+	0.590512i	0.0121624	+	0.0238700i
$613$	−1.09378	+	2.14667i	−0.0441775	+	0.0867033i	−0.912040	−	0.410101i	$-0.865493\pi$
$613$	−1.09378	+	2.14667i	−0.0441775	+	0.0867033i	0.867863	+	0.496804i	$0.165493\pi$
$614$	−15.1877	−	20.9041i	−0.612927	−	0.843621i
$615$	−0.901696	−	0.585180i	−0.0363599	−	0.0235967i
$616$		0			0
$617$	−25.5598	−	25.5598i	−1.02900	−	1.02900i	−0.999567	−	0.0294325i	$-0.990630\pi$
$617$	−25.5598	−	25.5598i	−1.02900	−	1.02900i	−0.0294325	−	0.999567i	$-0.509370\pi$
$618$	12.1527	+	1.92480i	0.488854	+	0.0774269i
$619$	−0.869119	+	0.282394i	−0.0349329	+	0.0113504i	−0.326431	−	0.945221i	$-0.605846\pi$
$619$	−0.869119	+	0.282394i	−0.0349329	+	0.0113504i	0.291498	+	0.956571i	$0.405846\pi$
$620$	0.140498	+	0.0147239i	0.00564254	+	0.000591327i
$621$	−9.90703	−	7.19788i	−0.397556	−	0.288841i
$622$	−21.8830	+	3.46593i	−0.877429	+	0.138971i
$623$	−52.3243	+	26.6606i	−2.09633	+	1.06813i
$624$	1.01820	+	3.13371i	0.0407607	+	0.125449i
$625$	−2.58309	+	24.8662i	−0.103324	+	0.994648i
$626$		−	38.2851i		−	1.53018i
$627$		0			0
$628$	−0.781786	+	0.781786i	−0.0311967	+	0.0311967i
$629$	7.69348	−	5.58964i	0.306759	−	0.222874i
$630$	15.9470	+	27.6018i	0.635345	+	1.09968i
$631$	7.14050	−	21.9762i	0.284259	−	0.874859i	−0.702361	−	0.711821i	$-0.747871\pi$
$631$	7.14050	−	21.9762i	0.284259	−	0.874859i	0.986620	−	0.163038i	$-0.0521292\pi$
$632$	−0.969597	−	6.12180i	−0.0385685	−	0.243512i
$633$	0.832277	+	5.25479i	0.0330800	+	0.208859i
$634$	12.8324	−	39.4940i	0.509639	−	1.56851i
$635$	−2.50465	−	0.670305i	−0.0993938	−	0.0266002i
$636$	0.911457	−	0.662212i	0.0361416	−	0.0262584i
$637$	7.04889	−	7.04889i	0.279287	−	0.279287i
$638$		0			0
$639$			19.8201i			0.784072i
$640$	27.7133	−	1.46081i	1.09547	−	0.0577436i
$641$	2.69734	+	8.30156i	0.106538	+	0.327892i	0.990088	−	0.140445i	$-0.0448534\pi$
$641$	2.69734	+	8.30156i	0.106538	+	0.327892i	−0.883550	+	0.468337i	$0.844853\pi$
$642$	−6.70537	+	3.41656i	−0.264640	+	0.134841i
$643$	31.1511	−	4.93385i	1.22848	−	0.194572i	0.491736	−	0.870744i	$-0.336362\pi$
$643$	31.1511	−	4.93385i	1.22848	−	0.194572i	0.736744	+	0.676172i	$0.236362\pi$
$644$	−1.40865	−	1.02345i	−0.0555087	−	0.0403294i
$645$	1.38664	−	13.2315i	0.0545989	−	0.520992i
$646$	14.5990	−	4.74349i	0.574388	−	0.186630i
$647$	13.5722	+	2.14962i	0.533578	+	0.0845105i	0.417409	−	0.908719i	$-0.362938\pi$
$647$	13.5722	+	2.14962i	0.533578	+	0.0845105i	0.116169	+	0.993229i	$0.462938\pi$
$648$	−6.22265	−	6.22265i	−0.244449	−	0.244449i
$649$		0			0
$650$	6.19675	−	2.76347i	0.243057	−	0.108392i
$651$	−0.874439	−	1.20356i	−0.0342720	−	0.0471713i
$652$	−1.04247	+	2.04596i	−0.0408263	+	0.0801262i
$653$	−2.47022	−	4.84809i	−0.0966673	−	0.189720i	0.837609	−	0.546270i	$-0.183953\pi$
$653$	−2.47022	−	4.84809i	−0.0966673	−	0.189720i	−0.934276	+	0.356550i	$0.883953\pi$
$654$	−14.2884	+	19.6663i	−0.558722	+	0.769014i
$655$	−13.1361	+	29.5282i	−0.513270	+	1.15376i
$656$	2.34831	+	0.763013i	0.0916861	+	0.0297906i
$657$	11.2241	+	5.71896i	0.437893	+	0.223118i
$658$	1.14996	−	7.26059i	0.0448303	−	0.283047i
$659$	−42.1160			−1.64061			−0.820304	−	0.571928i	$-0.806195\pi$
$659$	−42.1160			−1.64061			−0.820304	+	0.571928i	$0.806195\pi$
$660$		0			0
$661$	−19.5844			−0.761745			−0.380872	−	0.924628i	$-0.624376\pi$
$661$	−19.5844			−0.761745			−0.380872	+	0.924628i	$0.624376\pi$
$662$	5.65184	−	35.6843i	0.219665	−	1.38691i
$663$	−1.32363	−	0.674423i	−0.0514055	−	0.0261924i
$664$	5.13210	+	1.66752i	0.199164	+	0.0647123i
$665$	47.7923	−	18.3624i	1.85331	−	0.712062i
$666$	9.80607	−	13.4969i	0.379978	−	0.522994i
$667$	−1.26069	−	2.47424i	−0.0488141	−	0.0958030i
$668$	−0.280776	+	0.551053i	−0.0108635	+	0.0213209i
$669$	6.94580	+	9.56007i	0.268540	+	0.369614i
$670$	13.8530	−	2.94894i	0.535189	−	0.113927i
$671$		0			0
$672$	2.08750	+	2.08750i	0.0805269	+	0.0805269i
$673$	−5.47801	−	0.867632i	−0.211162	−	0.0334448i	0.0499572	−	0.998751i	$-0.484092\pi$
$673$	−5.47801	−	0.867632i	−0.211162	−	0.0334448i	−0.261119	+	0.965307i	$0.584092\pi$
$674$	−43.2424	+	14.0503i	−1.66564	+	0.541198i
$675$	13.8911	−	17.1753i	0.534667	−	0.661077i
$676$	1.46398	+	1.06364i	0.0563069	+	0.0409094i
$677$	−2.30451	+	0.364999i	−0.0885697	+	0.0140281i	−0.200562	−	0.979681i	$-0.564277\pi$
$677$	−2.30451	+	0.364999i	−0.0885697	+	0.0140281i	0.111992	+	0.993709i	$0.464277\pi$
$678$	−13.1811	+	6.71610i	−0.506217	+	0.257930i
$679$	4.33030	+	13.3273i	0.166182	+	0.511455i
$680$	−7.82395	+	8.69467i	−0.300035	+	0.333425i
$681$		−	6.89132i		−	0.264076i
$682$		0			0
$683$	−25.0400	+	25.0400i	−0.958127	+	0.958127i	−0.999158	−	0.0410307i	$-0.986936\pi$
$683$	−25.0400	+	25.0400i	−0.958127	+	0.958127i	0.0410307	+	0.999158i	$0.486936\pi$
$684$	1.51075	−	1.09762i	0.0577648	−	0.0419686i
$685$	−7.15186	+	26.7235i	−0.273258	+	1.02105i
$686$	7.19711	−	22.1504i	0.274787	−	0.845707i
$687$	−2.55238	−	16.1151i	−0.0973794	−	0.614829i
$688$	4.78058	+	30.1834i	0.182258	+	1.15073i
$689$	2.59779	−	7.99518i	0.0989679	−	0.304592i
$690$	−1.95546	+	7.30672i	−0.0744430	+	0.278162i
$691$	1.45608	−	1.05790i	0.0553918	−	0.0402445i	−0.559745	−	0.828665i	$-0.689101\pi$
$691$	1.45608	−	1.05790i	0.0553918	−	0.0402445i	0.615137	+	0.788421i	$0.289101\pi$
$692$	−0.456241	+	0.456241i	−0.0173437	+	0.0173437i
$693$		0			0
$694$		−	44.2510i		−	1.67974i
$695$	−1.50975	+	1.67777i	−0.0572680	+	0.0636413i
$696$	0.699307	+	2.15225i	0.0265072	+	0.0815807i
$697$	−0.991891	+	0.505394i	−0.0375705	+	0.0191431i
$698$	−30.9378	+	4.90006i	−1.17101	+	0.185470i
$699$	2.50075	+	1.81690i	0.0945869	+	0.0687214i
$700$	1.97513	−	2.44210i	0.0746529	−	0.0923029i
$701$	−16.9432	+	5.50518i	−0.639936	+	0.207928i	−0.610972	−	0.791653i	$-0.709221\pi$
$701$	−16.9432	+	5.50518i	−0.639936	+	0.207928i	−0.0289647	+	0.999580i	$0.509221\pi$
$702$	−5.92133	−	0.937847i	−0.223486	−	0.0353968i
$703$	−18.9468	−	18.9468i	−0.714593	−	0.714593i
$704$		0			0
$705$	−2.16587	+	0.461055i	−0.0815713	+	0.0173643i
$706$	−3.44403	−	4.74030i	−0.129618	−	0.178403i
$707$	25.4351	−	49.9191i	0.956584	−	1.87740i
$708$	−0.524327	−	1.02905i	−0.0197054	−	0.0386741i
$709$	−5.90573	+	8.12854i	−0.221794	+	0.305274i	−0.905385	−	0.424592i	$-0.860417\pi$
$709$	−5.90573	+	8.12854i	−0.221794	+	0.305274i	0.683590	+	0.729866i	$0.260417\pi$
$710$	26.2886	−	10.1004i	0.986594	−	0.379061i
$711$	5.01174	+	1.62841i	0.187955	+	0.0610703i
$712$	−33.6817	−	17.1617i	−1.26228	−	0.643161i
$713$	−0.183827	+	1.16064i	−0.00688438	+	0.0434663i
$714$	−9.91691			−0.371131
$715$		0			0
$716$	0.554298			0.0207151
$717$	0.418410	−	2.64173i	0.0156258	−	0.0986574i
$718$	−14.0287	−	7.14798i	−0.523546	−	0.266760i
$719$	−6.52361	−	2.11965i	−0.243290	−	0.0790496i	0.184834	−	0.982770i	$-0.440825\pi$
$719$	−6.52361	−	2.11965i	−0.243290	−	0.0790496i	−0.428124	+	0.903720i	$0.640825\pi$
$720$	−8.96539	+	20.1530i	−0.334120	+	0.751059i
$721$	24.9812	−	34.3836i	0.930348	−	1.28051i
$722$	−6.99073	−	13.7201i	−0.260168	−	0.510609i
$723$	9.60405	−	18.8490i	0.357179	−	0.701002i
$724$	0.529633	+	0.728977i	0.0196836	+	0.0270922i
$725$	4.57485	−	2.04017i	0.169906	−	0.0757702i
$726$		0			0
$727$	−25.2212	−	25.2212i	−0.935401	−	0.935401i	0.0626351	−	0.998036i	$-0.480050\pi$
$727$	−25.2212	−	25.2212i	−0.935401	−	0.935401i	−0.998036	+	0.0626351i	$0.980050\pi$
$728$	10.4576	+	1.65633i	0.387586	+	0.0613876i
$729$	−3.37765	+	1.09747i	−0.125098	+	0.0406469i
$730$	1.86557	−	17.8016i	0.0690478	−	0.658865i
$731$	−11.1465	−	8.09842i	−0.412269	−	0.299531i
$732$	−0.953493	+	0.151018i	−0.0352421	+	0.00558180i
$733$	6.87015	−	3.50052i	0.253755	−	0.129295i	−0.322487	−	0.946574i	$-0.604519\pi$
$733$	6.87015	−	3.50052i	0.253755	−	0.129295i	0.576242	+	0.817279i	$0.304519\pi$
$734$	−15.6759	−	48.2455i	−0.578609	−	1.78077i
$735$	−20.0183	+	1.05519i	−0.738386	+	0.0389214i
$736$		−	2.33188i		−	0.0859543i
$737$		0			0
$738$	−1.38095	+	1.38095i	−0.0508336	+	0.0508336i
$739$	−33.0105	+	23.9835i	−1.21431	+	0.882248i	−0.995615	−	0.0935452i	$-0.970180\pi$
$739$	−33.0105	+	23.9835i	−1.21431	+	0.882248i	−0.218695	+	0.975793i	$0.570180\pi$
$740$	−1.58790	−	0.424960i	−0.0583722	−	0.0156218i
$741$	−1.29346	+	3.98087i	−0.0475166	+	0.146241i
$742$	−8.77899	−	55.4284i	−0.322287	−	2.03484i
$743$	−6.94013	−	43.8183i	−0.254609	−	1.60754i	−0.701312	−	0.712855i	$-0.747402\pi$
$743$	−6.94013	−	43.8183i	−0.254609	−	1.60754i	0.446703	−	0.894682i	$-0.352598\pi$
$744$	0.295927	−	0.910768i	0.0108492	−	0.0333904i
$745$	1.36536	+	2.36321i	0.0500227	+	0.0865814i
$746$	−16.6122	+	12.0695i	−0.608216	+	0.441895i
$747$	−3.24412	+	3.24412i	−0.118696	+	0.118696i
$748$		0			0
$749$			25.9946i			0.949821i
$750$	−12.9802	−	4.20447i	−0.473968	−	0.153526i
$751$	−4.06861	−	12.5219i	−0.148466	−	0.456931i	0.848975	−	0.528434i	$-0.177220\pi$
$751$	−4.06861	−	12.5219i	−0.148466	−	0.456931i	−0.997440	+	0.0715030i	$0.977220\pi$
$752$	4.53213	−	2.30923i	0.165270	−	0.0842091i
$753$	−13.4067	+	2.12342i	−0.488569	+	0.0773817i
$754$	−1.09985	−	0.799086i	−0.0400541	−	0.0291010i
$755$	−3.52876	−	0.369807i	−0.128425	−	0.0134586i
$756$	−2.63939	+	0.857590i	−0.0959937	+	0.0311902i
$757$	19.6273	+	3.10865i	0.713365	+	0.112986i	0.502560	−	0.864542i	$-0.332392\pi$
$757$	19.6273	+	3.10865i	0.713365	+	0.112986i	0.210805	+	0.977528i	$0.432392\pi$
$758$	27.4703	+	27.4703i	0.997768	+	0.997768i
$759$		0			0
$760$	27.6455	+	17.9413i	1.00281	+	0.650799i
$761$	10.4266	+	14.3510i	0.377964	+	0.520222i	0.955044	−	0.296465i	$-0.0958079\pi$
$761$	10.4266	+	14.3510i	0.377964	+	0.520222i	−0.577080	+	0.816688i	$0.695808\pi$
$762$	0.642421	−	1.26082i	0.0232724	−	0.0456748i
$763$	38.1200	+	74.8148i	1.38004	+	2.70848i
$764$	1.45006	−	1.99584i	0.0524613	−	0.0722068i
$765$	−3.56662	−	9.28295i	−0.128951	−	0.335626i
$766$	33.5134	+	10.8892i	1.21089	+	0.393442i
$767$	−7.67856	−	3.91242i	−0.277257	−	0.141269i
$768$	−0.463238	+	2.92477i	−0.0167156	+	0.105538i
$769$	33.4001			1.20444			0.602218	−	0.798331i	$-0.294284\pi$
$769$	33.4001			1.20444			0.602218	+	0.798331i	$0.294284\pi$
$770$		0			0
$771$	13.4894			0.485810
$772$	−0.395468	+	2.49689i	−0.0142332	+	0.0898649i
$773$	34.0020	+	17.3249i	1.22297	+	0.623132i	0.941686	−	0.336493i	$-0.109241\pi$
$773$	34.0020	+	17.3249i	1.22297	+	0.623132i	0.281280	+	0.959626i	$0.409241\pi$
$774$	−22.9879	−	7.46922i	−0.826283	−	0.268476i
$775$	−2.07367	−	0.439460i	−0.0744885	−	0.0157859i
$776$	−5.30207	+	7.29767i	−0.190333	+	0.261971i
$777$	7.85885	+	15.4239i	0.281935	+	0.553328i
$778$	−5.02171	+	9.85565i	−0.180037	+	0.353342i
$779$	1.84369	+	2.53762i	0.0660570	+	0.0909197i
$780$	0.0534639	+	0.251154i	0.00191432	+	0.00899276i
$781$		0			0
$782$	5.53895	+	5.53895i	0.198072	+	0.198072i
$783$	−4.37151	−	0.692380i	−0.156225	−	0.0247436i
$784$	43.7927	−	14.2291i	1.56403	−	0.508183i
$785$	12.8895	−	10.4442i	0.460046	−	0.372769i
$786$	−14.2696	−	10.3675i	−0.508980	−	0.369795i
$787$	36.2929	−	5.74822i	1.29370	−	0.204902i	0.528632	−	0.848851i	$-0.322705\pi$
$787$	36.2929	−	5.74822i	1.29370	−	0.204902i	0.765068	+	0.643949i	$0.222705\pi$
$788$	−1.80947	+	0.921971i	−0.0644597	+	0.0328438i
$789$	0.246613	+	0.758997i	0.00877966	+	0.0270210i
$790$	−0.394135	−	7.47722i	−0.0140227	−	0.266027i
$791$			51.0989i			1.81687i
$792$		0			0
$793$	−5.09361	+	5.09361i	−0.180879	+	0.180879i
$794$	−27.0025	+	19.6185i	−0.958283	+	0.696234i
$795$	−14.6376	+	8.45695i	−0.519143	+	0.299937i
$796$	−0.894133	+	2.75186i	−0.0316917	+	0.0975371i
$797$	−3.15079	−	19.8933i	−0.111607	−	0.704657i	−0.978513	−	0.206186i	$-0.933895\pi$
$797$	−3.15079	−	19.8933i	−0.111607	−	0.704657i	0.866906	−	0.498471i	$-0.166105\pi$
$798$	4.37114	+	27.5983i	0.154737	+	0.976969i
$799$	−0.708659	+	2.18103i	−0.0250705	+	0.0771592i
$800$	4.20075	+	0.217601i	0.148519	+	0.00769334i
$801$	26.0013	−	18.8910i	0.918710	−	0.667482i
$802$	−25.0253	+	25.0253i	−0.883674	+	0.883674i
$803$		0			0
$804$			0.536020i			0.0189040i
$805$	19.4212	+	17.4763i	0.684507	+	0.615958i
$806$	0.177776	+	0.547138i	0.00626189	+	0.0192721i
$807$	21.0831	−	10.7424i	0.742159	−	0.378149i
$808$	35.6202	−	5.64168i	1.25311	−	0.198474i
$809$	−42.0153	−	30.5259i	−1.47718	−	1.07323i	−0.978452	−	0.206477i	$-0.933800\pi$
$809$	−42.0153	−	30.5259i	−1.47718	−	1.07323i	−0.498729	−	0.866758i	$-0.666200\pi$
$810$	−6.69281	−	8.25981i	−0.235161	−	0.290220i
$811$	37.2555	−	12.1050i	1.30822	−	0.425065i	0.429784	−	0.902932i	$-0.358590\pi$
$811$	37.2555	−	12.1050i	1.30822	−	0.425065i	0.878433	+	0.477866i	$0.158590\pi$
$812$	−0.621573	−	0.0984475i	−0.0218129	−	0.00345483i
$813$	−18.1009	−	18.1009i	−0.634826	−	0.634826i
$814$		0			0
$815$	18.7569	−	28.9022i	0.657025	−	1.01240i
$816$	−4.03334	−	5.55141i	−0.141195	−	0.194338i
$817$	−17.6244	+	34.5898i	−0.616600	+	1.21015i
$818$	3.89724	+	7.64877i	0.136264	+	0.267433i
$819$	−5.29123	+	7.28275i	−0.184890	+	0.254480i
$820$	0.175812	+	0.0782130i	0.00613964	+	0.00273131i
$821$	23.7731	+	7.72435i	0.829687	+	0.269582i	0.692913	−	0.721021i	$-0.256327\pi$
$821$	23.7731	+	7.72435i	0.829687	+	0.269582i	0.136773	+	0.990602i	$0.456327\pi$
$822$	−13.4524	−	6.85435i	−0.469207	−	0.239073i
$823$	3.59426	−	22.6933i	0.125288	−	0.791038i	−0.842393	−	0.538863i	$-0.818854\pi$
$823$	3.59426	−	22.6933i	0.125288	−	0.791038i	0.967682	−	0.252175i	$-0.0811459\pi$
$824$	27.3580			0.953062
$825$		0			0
$826$	−57.5294			−2.00170
$827$	0.866233	−	5.46918i	0.0301219	−	0.190182i	−0.968039	−	0.250799i	$-0.919307\pi$
$827$	0.866233	−	5.46918i	0.0301219	−	0.190182i	0.998161	+	0.0606167i	$0.0193067\pi$
$828$	0.849066	+	0.432621i	0.0295071	+	0.0150346i
$829$	14.2407	+	4.62709i	0.494601	+	0.160706i	0.545688	−	0.837989i	$-0.316268\pi$
$829$	14.2407	+	4.62709i	0.494601	+	0.160706i	−0.0510867	+	0.998694i	$0.516268\pi$
$830$	5.95608	+	2.64966i	0.206739	+	0.0919710i
$831$	−14.7521	+	20.3045i	−0.511745	+	0.704356i
$832$	3.07556	+	6.03612i	0.106626	+	0.209265i
$833$	−9.42488	+	18.4974i	−0.326553	+	0.640896i
$834$	−0.724042	−	0.996559i	−0.0250715	−	0.0345080i
$835$	5.05192	−	7.78443i	0.174829	−	0.269391i
$836$		0			0
$837$	1.32438	+	1.32438i	0.0457773	+	0.0457773i
$838$	16.0137	+	2.53632i	0.553183	+	0.0876156i
$839$	−11.9792	+	3.89228i	−0.413568	+	0.134376i	−0.508408	−	0.861116i	$-0.669766\pi$
$839$	−11.9792	+	3.89228i	−0.413568	+	0.134376i	0.0948403	+	0.995493i	$0.469766\pi$
$840$	−13.4042	−	16.5426i	−0.462491	−	0.570775i
$841$	22.6495	+	16.4558i	0.781018	+	0.567443i
$842$	−11.3995	+	1.80550i	−0.392851	+	0.0622215i
$843$	6.31891	−	3.21965i	0.217635	−	0.110891i
$844$	−0.294303	−	0.905773i	−0.0101303	−	0.0311780i
$845$	−20.1840	−	18.1627i	−0.694350	−	0.624815i
$846$			4.02315i			0.138319i
$847$		0			0
$848$	27.4579	−	27.4579i	0.942907	−	0.942907i
$849$	−6.42625	+	4.66895i	−0.220548	+	0.160238i
$850$	−10.4950	+	9.46123i	−0.359975	+	0.324518i
$851$	4.22533	−	13.0042i	0.144842	−	0.445779i
$852$	0.166729	+	1.05269i	0.00571204	+	0.0360644i
$853$	7.78622	+	49.1602i	0.266595	+	1.68321i	0.650236	+	0.759732i	$0.274670\pi$
$853$	7.78622	+	49.1602i	0.266595	+	1.68321i	−0.383641	+	0.923482i	$0.625330\pi$
$854$	−14.8598	+	45.7338i	−0.508493	+	1.56498i
$855$	−24.2620	+	14.0174i	−0.829741	+	0.479386i
$856$	−13.5373	+	9.83540i	−0.462694	+	0.336167i
$857$	−21.2860	+	21.2860i	−0.727117	+	0.727117i	−0.970044	−	0.242927i	$-0.921892\pi$
$857$	−21.2860	+	21.2860i	−0.727117	+	0.727117i	0.242927	+	0.970044i	$0.421892\pi$
$858$		0			0
$859$		−	9.31402i		−	0.317790i	−0.987295	−	0.158895i	$-0.949207\pi$
$859$		−	9.31402i		−	0.317790i	0.987295	−	0.158895i	$-0.0507932\pi$
$860$	0.125361	+	2.37825i	0.00427478	+	0.0810976i
$861$	−0.626199	−	1.92724i	−0.0213408	−	0.0656802i
$862$	9.53893	−	4.86033i	0.324897	−	0.165543i
$863$	−34.9535	+	5.53609i	−1.18983	+	0.188451i	−0.719789	−	0.694193i	$-0.755761\pi$
$863$	−34.9535	+	5.53609i	−1.18983	+	0.188451i	−0.470042	+	0.882644i	$0.655761\pi$
$864$	−3.00687	−	2.18462i	−0.102296	−	0.0743223i
$865$	7.52216	−	6.09510i	0.255761	−	0.207240i
$866$	−7.03726	+	2.28654i	−0.239136	+	0.0776999i
$867$	−10.9222	−	1.72990i	−0.370937	−	0.0587506i
$868$	0.188310	+	0.188310i	0.00639166	+	0.00639166i
$869$		0			0
$870$	0.569202	+	2.67390i	0.0192978	+	0.0906538i
$871$	2.35095	+	3.23580i	0.0796588	+	0.109641i
$872$	−24.5383	+	48.1590i	−0.830970	+	1.63087i
$873$	−3.48175	−	6.83331i	−0.117839	−	0.231273i
$874$	12.9732	−	17.8561i	0.438825	−	0.603991i
$875$	−33.2948	+	33.3554i	−1.12557	+	1.12762i
$876$	0.644242	+	0.209327i	0.0217669	+	0.00707250i
$877$	−19.4768	−	9.92391i	−0.657684	−	0.335107i	0.0930980	−	0.995657i	$-0.470323\pi$
$877$	−19.4768	−	9.92391i	−0.657684	−	0.335107i	−0.750782	+	0.660550i	$0.770323\pi$
$878$	0.297613	−	1.87906i	0.0100440	−	0.0634151i
$879$	−1.92089			−0.0647901
$880$		0			0
$881$	46.4810			1.56599			0.782993	−	0.622031i	$-0.213692\pi$
$881$	46.4810			1.56599			0.782993	+	0.622031i	$0.213692\pi$
$882$	−5.69735	+	35.9717i	−0.191840	+	1.21123i
$883$	−24.8801	−	12.6771i	−0.837283	−	0.426617i	−0.0178835	−	0.999840i	$-0.505693\pi$
$883$	−24.8801	−	12.6771i	−0.837283	−	0.426617i	−0.819399	+	0.573223i	$0.805693\pi$
$884$	0.252912	+	0.0821761i	0.00850635	+	0.00276388i
$885$	6.21534	+	16.1769i	0.208926	+	0.543780i
$886$	13.2704	−	18.2651i	0.445827	−	0.613628i
$887$	3.19618	+	6.27285i	0.107317	+	0.210622i	0.938420	−	0.345497i	$-0.112290\pi$
$887$	3.19618	+	6.27285i	0.107317	+	0.210622i	−0.831103	+	0.556119i	$0.812290\pi$
$888$	−5.05882	+	9.92850i	−0.169763	+	0.333179i
$889$	−2.87298	−	3.95431i	−0.0963566	−	0.132623i
$890$	−38.3066	−	24.8601i	−1.28404	−	0.833313i
$891$		0			0
$892$	−1.49577	−	1.49577i	−0.0500822	−	0.0500822i
$893$	6.38206	+	1.01082i	0.213567	+	0.0338258i
$894$	−1.41664	+	0.460295i	−0.0473796	+	0.0153946i
$895$	−8.27197	−	0.866887i	−0.276502	−	0.0289768i
$896$	42.3248	+	30.7508i	1.41397	+	1.02731i
$897$	−2.10969	+	0.334142i	−0.0704405	+	0.0111567i
$898$	15.8345	−	8.06807i	0.528404	−	0.269235i
$899$	0.131246	+	0.403933i	0.00437729	+	0.0134719i
$900$	−0.858573	+	1.48917i	−0.0286191	+	0.0496391i
$901$			17.5071i			0.583247i
$902$		0			0
$903$	17.7343	−	17.7343i	0.590160	−	0.590160i
$904$	−26.6109	+	19.3339i	−0.885065	+	0.643037i
$905$	−6.76381	−	11.7071i	−0.224837	−	0.389156i
$906$	0.598386	−	1.84164i	0.0198800	−	0.0611845i
$907$	4.62244	+	29.1849i	0.153486	+	0.969070i	0.937414	+	0.348218i	$0.113213\pi$
$907$	4.62244	+	29.1849i	0.153486	+	0.969070i	−0.783928	+	0.620852i	$0.786787\pi$
$908$	0.192980	+	1.21843i	0.00640427	+	0.0404350i
$909$	−9.47507	+	29.1613i	−0.314268	+	0.967218i
$910$	12.3560	+	3.30676i	0.409596	+	0.109618i
$911$	−13.7155	+	9.96491i	−0.454416	+	0.330152i	−0.791337	−	0.611381i	$-0.790614\pi$
$911$	−13.7155	+	9.96491i	−0.454416	+	0.330152i	0.336921	+	0.941533i	$0.390614\pi$
$912$	−13.6715	+	13.6715i	−0.452709	+	0.452709i
$913$		0			0
$914$			5.14655i			0.170233i
$915$	14.4655	−	0.762496i	0.478214	−	0.0252073i
$916$	0.902553	+	2.77777i	0.0298212	+	0.0917802i
$917$	−54.2845	+	27.6593i	−1.79263	+	0.913391i
$918$	12.3314	−	1.95311i	0.406998	−	0.0644621i
$919$	−4.06377	−	2.95250i	−0.134051	−	0.0973940i	0.518739	−	0.854933i	$-0.326402\pi$
$919$	−4.06377	−	2.95250i	−0.134051	−	0.0973940i	−0.652790	+	0.757539i	$0.726402\pi$
$920$	−1.75289	+	16.7264i	−0.0577912	+	0.551453i
$921$	−13.9550	+	4.53426i	−0.459833	+	0.149409i
$922$	7.89595	+	1.25059i	0.260039	+	0.0411861i
$923$	5.62351	+	5.62351i	0.185100	+	0.185100i
$924$		0			0
$925$	23.0321	+	8.82519i	0.757290	+	0.290170i
$926$	18.7657	+	25.8287i	0.616678	+	0.848784i
$927$	−10.5598	+	20.7247i	−0.346829	+	0.680690i
$928$	−0.382630	−	0.750954i	−0.0125605	−	0.0246513i
$929$	−6.94350	+	9.55691i	−0.227809	+	0.313552i	−0.907586	−	0.419867i	$-0.862077\pi$
$929$	−6.94350	+	9.55691i	−0.227809	+	0.313552i	0.679777	+	0.733419i	$0.262077\pi$
$930$	0.470222	−	1.05700i	0.0154192	−	0.0346603i
$931$	55.6316	+	18.0758i	1.82325	+	0.592411i
$932$	−0.493026	−	0.251210i	−0.0161496	−	0.00822864i
$933$	−1.96820	+	12.4267i	−0.0644360	+	0.406833i
$934$	−21.5258			−0.704346
$935$		0			0
$936$	−5.79466			−0.189405
$937$	0.358566	−	2.26390i	0.0117138	−	0.0739583i	−0.981139	−	0.193304i	$-0.938080\pi$
$937$	0.358566	−	2.26390i	0.0117138	−	0.0739583i	0.992853	+	0.119346i	$0.0380797\pi$
$938$	23.7901	+	12.1216i	0.776773	+	0.395786i
$939$	−20.6769	−	6.71835i	−0.674767	−	0.219245i
$940$	0.370027	−	0.142169i	0.0120690	−	0.00463704i
$941$	1.04233	−	1.43465i	0.0339791	−	0.0467683i	−0.791689	−	0.610924i	$-0.790798\pi$
$941$	1.04233	−	1.43465i	0.0339791	−	0.0467683i	0.825669	+	0.564156i	$0.190798\pi$
$942$	4.11048	+	8.06727i	0.133927	+	0.262846i
$943$	−0.726679	+	1.42619i	−0.0236639	+	0.0464431i
$944$	−23.3979	−	32.2045i	−0.761538	−	1.04817i
$945$	40.7297	−	8.67026i	1.32494	−	0.282043i
$946$		0			0
$947$	−8.63289	−	8.63289i	−0.280531	−	0.280531i	0.552790	−	0.833321i	$-0.313563\pi$
$947$	−8.63289	−	8.63289i	−0.280531	−	0.280531i	−0.833321	+	0.552790i	$0.813563\pi$
$948$	0.279882	+	0.0443289i	0.00909014	+	0.00143974i
$949$	4.80720	−	1.56195i	0.156048	−	0.0507031i
$950$	30.9561	+	25.0367i	1.00435	+	0.812299i
$951$	−19.0780	−	13.8610i	−0.618646	−	0.449473i
$952$	−21.7785	+	3.44937i	−0.705845	+	0.111795i
$953$	16.4251	−	8.36901i	0.532061	−	0.271099i	−0.167252	−	0.985914i	$-0.553489\pi$
$953$	16.4251	−	8.36901i	0.532061	−	0.271099i	0.699313	+	0.714815i	$0.253489\pi$
$954$	9.49093	+	29.2101i	0.307280	+	0.945711i
$955$	−24.7611	+	27.5167i	−0.801249	+	0.890420i
$956$			0.478792i			0.0154852i
$957$		0			0
$958$	−5.09348	+	5.09348i	−0.164563	+	0.164563i
$959$	−42.1908	+	30.6534i	−1.36241	+	0.989850i
$960$	3.52189	−	13.1598i	0.113669	−	0.424732i
$961$	−9.52399	+	29.3118i	−0.307225	+	0.945543i
$962$	−1.04719	−	6.61168i	−0.0337627	−	0.213169i
$963$	−2.22551	−	14.0513i	−0.0717160	−	0.452797i
$964$	−1.17022	+	3.60157i	−0.0376902	+	0.115999i
$965$	9.80667	−	36.6434i	0.315688	−	1.17959i
$966$	−11.5358	+	8.38124i	−0.371158	+	0.269662i
$967$	−9.49113	+	9.49113i	−0.305214	+	0.305214i	−0.843050	−	0.537836i	$-0.819242\pi$
$967$	−9.49113	+	9.49113i	−0.305214	+	0.305214i	0.537836	+	0.843050i	$0.319242\pi$
$968$		0			0
$969$		−	8.71697i		−	0.280029i
$970$	−7.28912	+	8.10032i	−0.234039	+	0.260086i
$971$	15.8279	+	48.7132i	0.507941	+	1.56328i	0.795770	+	0.605599i	$0.207067\pi$
$971$	15.8279	+	48.7132i	0.507941	+	1.56328i	−0.287829	+	0.957682i	$0.592933\pi$
$972$	2.11830	−	1.07933i	0.0679445	−	0.0346195i
$973$	−4.20248	+	0.665608i	−0.134725	+	0.0213384i
$974$	12.7345	+	9.25218i	0.408041	+	0.296459i
$975$	−0.405071	−	3.83167i	−0.0129727	−	0.122712i
$976$	−31.6451	+	10.2821i	−1.01294	+	0.329123i
$977$	−14.3020	−	2.26522i	−0.457562	−	0.0724707i	−0.0766009	−	0.997062i	$-0.524407\pi$
$977$	−14.3020	−	2.26522i	−0.457562	−	0.0724707i	−0.380961	+	0.924591i	$0.624407\pi$
$978$	13.2967	+	13.2967i	0.425183	+	0.425183i
$979$		0			0
$980$	3.50981	−	0.747144i	0.112117	−	0.0238666i
$981$	−27.0109	−	37.1773i	−0.862392	−	1.18698i
$982$	2.16700	−	4.25299i	0.0691519	−	0.135718i
$983$	−26.1259	−	51.2750i	−0.833288	−	1.63542i	−0.770542	−	0.637389i	$-0.780014\pi$
$983$	−26.1259	−	51.2750i	−0.833288	−	1.63542i	−0.0627455	−	0.998030i	$-0.519986\pi$
$984$	0.766724	−	1.05531i	0.0244423	−	0.0336419i
$985$	28.4452	−	10.9290i	0.906340	−	0.348226i
$986$	2.69262	+	0.874885i	0.0857504	+	0.0278620i
$987$	−3.71948	−	1.89517i	−0.118392	−	0.0603240i
$988$	0.117215	−	0.740064i	0.00372909	−	0.0235446i
$989$	−19.8105			−0.629936
$990$		0			0
$991$	13.1102			0.416458			0.208229	−	0.978080i	$-0.433230\pi$
$991$	13.1102			0.416458			0.208229	+	0.978080i	$0.433230\pi$
$992$	−0.0557932	+	0.352264i	−0.00177143	+	0.0111844i
$993$	−18.2805	−	9.31438i	−0.580114	−	0.295583i
$994$	50.4916	+	16.4057i	1.60150	+	0.520358i
$995$	17.6472	−	39.6685i	0.559453	−	1.25758i
$996$	−0.145012	+	0.199592i	−0.00459487	+	0.00632430i
$997$	−1.02370	−	2.00913i	−0.0324210	−	0.0636299i	0.874228	−	0.485516i	$-0.161368\pi$
$997$	−1.02370	−	2.00913i	−0.0324210	−	0.0636299i	−0.906649	+	0.421886i	$0.861368\pi$
$998$	5.95105	−	11.6796i	0.188377	−	0.369711i
$999$	−12.8100	−	17.6314i	−0.405289	−	0.557833i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.m.d.602.1		32
5.3	odd	4	inner	605.2.m.d.118.4		32
11.2	odd	10		605.2.e.b.362.4		32
11.3	even	5		55.2.l.a.17.4	yes	32
11.4	even	5		605.2.m.c.282.1		32
11.5	even	5		605.2.m.e.112.1		32
11.6	odd	10		55.2.l.a.2.4	✓	32
11.7	odd	10	inner	605.2.m.d.282.4		32
11.8	odd	10		605.2.m.e.457.1		32
11.9	even	5		605.2.e.b.362.13		32
11.10	odd	2		605.2.m.c.602.4		32
33.14	odd	10		495.2.bj.a.127.1		32
33.17	even	10		495.2.bj.a.442.1		32
44.3	odd	10		880.2.cm.a.17.3		32
44.39	even	10		880.2.cm.a.497.3		32
55.3	odd	20		55.2.l.a.28.4	yes	32
55.8	even	20		605.2.m.e.578.1		32
55.13	even	20		605.2.e.b.483.13		32
55.14	even	10		275.2.bm.b.182.1		32
55.17	even	20		275.2.bm.b.68.1		32
55.18	even	20	inner	605.2.m.d.403.1		32
55.28	even	20		55.2.l.a.13.4	yes	32
55.38	odd	20		605.2.m.e.233.1		32
55.39	odd	10		275.2.bm.b.57.1		32
55.43	even	4		605.2.m.c.118.1		32
55.47	odd	20		275.2.bm.b.193.1		32
55.48	odd	20		605.2.m.c.403.4		32
55.53	odd	20		605.2.e.b.483.4		32
165.83	odd	20		495.2.bj.a.343.1		32
165.113	even	20		495.2.bj.a.28.1		32
220.3	even	20		880.2.cm.a.193.3		32
220.83	odd	20		880.2.cm.a.673.3		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
55.2.l.a.2.4	✓	32	11.6	odd	10
55.2.l.a.13.4	yes	32	55.28	even	20
55.2.l.a.17.4	yes	32	11.3	even	5
55.2.l.a.28.4	yes	32	55.3	odd	20
275.2.bm.b.57.1		32	55.39	odd	10
275.2.bm.b.68.1		32	55.17	even	20
275.2.bm.b.182.1		32	55.14	even	10
275.2.bm.b.193.1		32	55.47	odd	20
495.2.bj.a.28.1		32	165.113	even	20
495.2.bj.a.127.1		32	33.14	odd	10
495.2.bj.a.343.1		32	165.83	odd	20
495.2.bj.a.442.1		32	33.17	even	10
605.2.e.b.362.4		32	11.2	odd	10
605.2.e.b.362.13		32	11.9	even	5
605.2.e.b.483.4		32	55.53	odd	20
605.2.e.b.483.13		32	55.13	even	20
605.2.m.c.118.1		32	55.43	even	4
605.2.m.c.282.1		32	11.4	even	5
605.2.m.c.403.4		32	55.48	odd	20
605.2.m.c.602.4		32	11.10	odd	2
605.2.m.d.118.4		32	5.3	odd	4	inner
605.2.m.d.282.4		32	11.7	odd	10	inner
605.2.m.d.403.1		32	55.18	even	20	inner
605.2.m.d.602.1		32	1.1	even	1	trivial
605.2.m.e.112.1		32	11.5	even	5
605.2.m.e.233.1		32	55.38	odd	20
605.2.m.e.457.1		32	11.8	odd	10
605.2.m.e.578.1		32	55.8	even	20
880.2.cm.a.17.3		32	44.3	odd	10
880.2.cm.a.193.3		32	220.3	even	20
880.2.cm.a.497.3		32	44.39	even	10
880.2.cm.a.673.3		32	220.83	odd	20

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.m (of order \(20\), degree \(8\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.229326 + 1.44791i) q^{2} +(0.741739 + 0.377935i) q^{3} +(-0.141727 - 0.0460500i) q^{4} +(2.04303 + 0.908872i) q^{5} +(-0.717314 + 0.987298i) q^{6} +(1.91372 + 3.75588i) q^{7} +(-1.23188 + 2.41770i) q^{8} +(-1.35601 - 1.86639i) q^{9} +(-1.78448 + 2.74968i) q^{10} +(-0.0877208 - 0.0877208i) q^{12} +(-0.914284 - 0.144808i) q^{13} +(-5.87703 + 1.90956i) q^{14} +(1.17190 + 1.44628i) q^{15} +(-3.45922 - 2.51327i) q^{16} +(1.90403 - 0.301569i) q^{17} +(3.01333 - 1.53537i) q^{18} +(-1.67851 - 5.16591i) q^{19} +(-0.247699 - 0.222893i) q^{20} +3.50915i q^{21} +(1.95998 - 1.95998i) q^{23} +(-1.82747 + 1.32773i) q^{24} +(3.34790 + 3.71370i) q^{25} +(0.419337 - 1.29059i) q^{26} +(-0.691116 - 4.36353i) q^{27} +(-0.0982678 - 0.620439i) q^{28} +(0.309582 - 0.952796i) q^{29} +(-2.36282 + 1.36513i) q^{30} +(-0.342979 + 0.249189i) q^{31} +(0.594873 - 0.594873i) q^{32} +2.82602i q^{34} +(0.496157 + 9.41269i) q^{35} +(0.106237 + 0.326964i) q^{36} +(4.39533 - 2.23953i) q^{37} +(7.86468 - 1.24564i) q^{38} +(-0.623432 - 0.452950i) q^{39} +(-4.71414 + 3.81980i) q^{40} +(-0.549205 + 0.178448i) q^{41} +(-5.08091 - 0.804737i) q^{42} +(-5.05373 - 5.05373i) q^{43} +(-1.07406 - 5.04553i) q^{45} +(2.38840 + 3.28735i) q^{46} +(-0.540066 + 1.05994i) q^{47} +(-1.61599 - 3.17155i) q^{48} +(-6.32985 + 8.71229i) q^{49} +(-6.14484 + 3.99580i) q^{50} +(1.52627 + 0.495915i) q^{51} +(0.122911 + 0.0626261i) q^{52} +(-1.42067 + 8.96976i) q^{53} +6.47647 q^{54} -11.4381 q^{56} +(0.707364 - 4.46612i) q^{57} +(1.30856 + 0.666746i) q^{58} +(8.85410 + 2.87687i) q^{59} +(-0.0994889 - 0.258943i) q^{60} +(4.57402 - 6.29560i) q^{61} +(-0.282148 - 0.553746i) q^{62} +(4.41493 - 8.66478i) q^{63} +(-4.30165 - 5.92071i) q^{64} +(-1.73629 - 1.12681i) q^{65} +(-3.05526 - 3.05526i) q^{67} +(-0.283741 - 0.0449401i) q^{68} +(2.19454 - 0.713050i) q^{69} +(-13.7425 - 1.44018i) q^{70} +(-6.95054 - 5.04987i) q^{71} +(6.18283 - 0.979264i) q^{72} +(-4.86525 + 2.47897i) q^{73} +(2.23467 + 6.87761i) q^{74} +(1.07973 + 4.01988i) q^{75} +0.809447i q^{76} +(0.798797 - 0.798797i) q^{78} +(-1.84797 + 1.34263i) q^{79} +(-4.78304 - 8.27867i) q^{80} +(-1.00219 + 3.08443i) q^{81} +(-0.132428 - 0.836120i) q^{82} +(-0.311099 - 1.96420i) q^{83} +(0.161596 - 0.497342i) q^{84} +(4.16407 + 1.11441i) q^{85} +(8.47628 - 6.15838i) q^{86} +(0.589724 - 0.589724i) q^{87} +13.9313i q^{89} +(7.55176 - 0.398065i) q^{90} +(-1.20580 - 3.71107i) q^{91} +(-0.368041 + 0.187526i) q^{92} +(-0.348578 + 0.0552093i) q^{93} +(-1.41084 - 1.02504i) q^{94} +(1.26592 - 12.0796i) q^{95} +(0.666063 - 0.216417i) q^{96} +(3.28341 + 0.520041i) q^{97} +(-11.1630 - 11.1630i) q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 6 q^{3} - 2 q^{5} + 20 q^{7} - 20 q^{8} + 12 q^{12} - 20 q^{13} + 4 q^{15} + 12 q^{16} + 30 q^{18} + 16 q^{20} - 24 q^{23} - 24 q^{25} - 20 q^{26} + 24 q^{27} - 20 q^{28} + 40 q^{30} + 32 q^{31}+ \cdots - 38 q^{97}+O(q^{100}) \) 32 * q + 6 * q^3 - 2 * q^5 + 20 * q^7 - 20 * q^8 + 12 * q^12 - 20 * q^13 + 4 * q^15 + 12 * q^16 + 30 * q^18 + 16 * q^20 - 24 * q^23 - 24 * q^25 - 20 * q^26 + 24 * q^27 - 20 * q^28 + 40 * q^30 + 32 * q^31 + 30 * q^35 - 36 * q^36 - 8 * q^37 + 10 * q^38 - 50 * q^40 - 20 * q^42 - 28 * q^45 + 20 * q^46 + 42 * q^47 + 26 * q^48 + 80 * q^50 - 100 * q^51 - 20 * q^52 - 34 * q^53 - 80 * q^56 - 40 * q^57 + 90 * q^58 - 86 * q^60 + 10 * q^62 - 10 * q^63 - 8 * q^67 - 70 * q^68 + 10 * q^70 - 36 * q^71 - 70 * q^72 + 30 * q^73 + 4 * q^75 + 60 * q^78 - 102 * q^80 + 8 * q^81 + 20 * q^82 - 60 * q^83 + 60 * q^85 - 80 * q^86 + 130 * q^90 - 60 * q^91 + 42 * q^92 - 8 * q^93 - 30 * q^95 - 38 * q^97

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