LMFDB - Embedded newform 605.2.j.k.9.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(9,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([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("605.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.j (of order $10$, degree $4$, not 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:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			9.5
Character	$\chi$	$=$	605.9
Dual form			605.2.j.k.269.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.312280 - 0.101466i) q^{2} +(-0.565450 - 0.778275i) q^{3} +(-1.53081 - 1.11220i) q^{4} +(-2.23364 + 0.104146i) q^{5} +(0.0976102 + 0.300413i) q^{6} +(1.92358 - 2.64758i) q^{7} +(0.751190 + 1.03393i) q^{8} +(0.641073 - 1.97302i) q^{9} +O(q^{10})$	\(q+(-0.312280 - 0.101466i) q^{2} +(-0.565450 - 0.778275i) q^{3} +(-1.53081 - 1.11220i) q^{4} +(-2.23364 + 0.104146i) q^{5} +(0.0976102 + 0.300413i) q^{6} +(1.92358 - 2.64758i) q^{7} +(0.751190 + 1.03393i) q^{8} +(0.641073 - 1.97302i) q^{9} +(0.708089 + 0.194116i) q^{10} +1.82028i q^{12} +(-4.95243 - 1.60914i) q^{13} +(-0.869334 + 0.631608i) q^{14} +(1.34407 + 1.67950i) q^{15} +(1.03976 + 3.20006i) q^{16} +(-3.42469 + 1.11275i) q^{17} +(-0.400388 + 0.551087i) q^{18} +(4.05270 - 2.94446i) q^{19} +(3.53511 + 2.32483i) q^{20} -3.14823 q^{21} +5.84372i q^{23} +(0.379917 - 1.16926i) q^{24} +(4.97831 - 0.465248i) q^{25} +(1.38327 + 1.00500i) q^{26} +(-4.64280 + 1.50854i) q^{27} +(-5.88927 + 1.91354i) q^{28} +(-1.65681 - 1.20374i) q^{29} +(-0.249313 - 0.660850i) q^{30} +(-1.00645 + 3.09752i) q^{31} -3.66082i q^{32} +1.18237 q^{34} +(-4.02085 + 6.11407i) q^{35} +(-3.17575 + 2.30732i) q^{36} +(-3.66602 + 5.04584i) q^{37} +(-1.56434 + 0.508285i) q^{38} +(1.54799 + 4.76423i) q^{39} +(-1.78557 - 2.23118i) q^{40} +(-8.25648 + 5.99868i) q^{41} +(0.983129 + 0.319438i) q^{42} -0.596820i q^{43} +(-1.22645 + 4.47378i) q^{45} +(0.592939 - 1.82488i) q^{46} +(-0.565450 - 0.778275i) q^{47} +(1.90259 - 2.61869i) q^{48} +(-1.14640 - 3.52824i) q^{49} +(-1.60183 - 0.359841i) q^{50} +(2.80252 + 2.03615i) q^{51} +(5.79154 + 7.97137i) q^{52} +(0.374032 + 0.121530i) q^{53} +1.60292 q^{54} +4.18237 q^{56} +(-4.58320 - 1.48917i) q^{57} +(0.395249 + 0.544013i) q^{58} +(-0.426713 - 0.310025i) q^{59} +(-0.189574 - 4.06586i) q^{60} +(-1.64560 - 5.06465i) q^{61} +(0.628585 - 0.865174i) q^{62} +(-3.99057 - 5.49255i) q^{63} +(1.70807 - 5.25691i) q^{64} +(11.2295 + 3.07847i) q^{65} -8.45057i q^{67} +(6.48016 + 2.10553i) q^{68} +(4.54802 - 3.30433i) q^{69} +(1.87600 - 1.50132i) q^{70} +(3.87119 + 11.9143i) q^{71} +(2.52152 - 0.819292i) q^{72} +(5.00515 - 6.88900i) q^{73} +(1.65681 - 1.20374i) q^{74} +(-3.17707 - 3.61142i) q^{75} -9.47874 q^{76} -1.64484i q^{78} +(-0.875246 + 2.69373i) q^{79} +(-2.65573 - 7.03949i) q^{80} +(-1.23573 - 0.897811i) q^{81} +(3.18699 - 1.03552i) q^{82} +(11.5465 - 3.75168i) q^{83} +(4.81934 + 3.50146i) q^{84} +(7.53365 - 2.84215i) q^{85} +(-0.0605569 + 0.186375i) q^{86} +1.97010i q^{87} -9.00000 q^{89} +(0.836931 - 1.27263i) q^{90} +(-13.7867 + 10.0166i) q^{91} +(6.49938 - 8.94563i) q^{92} +(2.97981 - 0.968201i) q^{93} +(0.0976102 + 0.300413i) q^{94} +(-8.74563 + 6.99894i) q^{95} +(-2.84912 + 2.07001i) q^{96} +(-10.7414 - 3.49009i) q^{97} +1.21812i q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 20 q^{4} + 6 q^{5} + 20 q^{9}+O(q^{10}) $ 48 * q + 20 * q^4 + 6 * q^5 + 20 * q^9	$ 48 q + 20 q^{4} + 6 q^{5} + 20 q^{9} + 32 q^{14} - 20 q^{15} - 36 q^{16} - 26 q^{20} + 10 q^{25} - 20 q^{26} - 8 q^{31} + 48 q^{34} - 92 q^{36} - 72 q^{45} + 4 q^{49} + 192 q^{56} + 32 q^{59} + 92 q^{60} - 28 q^{64} + 16 q^{69} + 12 q^{70} - 112 q^{71} - 36 q^{75} + 106 q^{80} + 20 q^{81} + 56 q^{86} - 432 q^{89} - 72 q^{91}+O(q^{100}) $ 48 * q + 20 * q^4 + 6 * q^5 + 20 * q^9 + 32 * q^14 - 20 * q^15 - 36 * q^16 - 26 * q^20 + 10 * q^25 - 20 * q^26 - 8 * q^31 + 48 * q^34 - 92 * q^36 - 72 * q^45 + 4 * q^49 + 192 * q^56 + 32 * q^59 + 92 * q^60 - 28 * q^64 + 16 * q^69 + 12 * q^70 - 112 * q^71 - 36 * q^75 + 106 * q^80 + 20 * q^81 + 56 * q^86 - 432 * q^89 - 72 * q^91

Display 100 coefficients 10 coefficients

Character values

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

$n$	$122$	$486$
$\chi(n)$	$-1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	−0.312280	−	0.101466i	−0.220815	−	0.0717472i	0.196520	−	0.980500i	$-0.437036\pi$
$2$	−0.312280	−	0.101466i	−0.220815	−	0.0717472i	−0.417335	+	0.908753i	$0.637036\pi$
$3$	−0.565450	−	0.778275i	−0.326462	−	0.449337i	0.613964	−	0.789334i	$-0.289574\pi$
$3$	−0.565450	−	0.778275i	−0.326462	−	0.449337i	−0.940427	+	0.339997i	$0.889574\pi$
$4$	−1.53081	−	1.11220i	−0.765405	−	0.556099i
$5$	−2.23364	+	0.104146i	−0.998915	+	0.0465753i
$5$	−2.23364	+	0.104146i	−0.998915	+	0.0465753i
$6$	0.0976102	+	0.300413i	0.0398492	+	0.122643i
$7$	1.92358	−	2.64758i	0.727044	−	1.00069i	−0.272216	−	0.962236i	$-0.587757\pi$
$7$	1.92358	−	2.64758i	0.727044	−	1.00069i	0.999260	−	0.0384541i	$-0.0122433\pi$
$8$	0.751190	+	1.03393i	0.265586	+	0.365548i
$9$	0.641073	−	1.97302i	0.213691	−	0.657673i
$10$	0.708089	+	0.194116i	0.223917	+	0.0613848i
$11$		0			0
$11$		0			0
$12$			1.82028i			0.525471i
$13$	−4.95243	−	1.60914i	−1.37356	−	0.446295i	−0.473010	−	0.881057i	$-0.656833\pi$
$13$	−4.95243	−	1.60914i	−1.37356	−	0.446295i	−0.900546	+	0.434762i	$0.856833\pi$
$14$	−0.869334	+	0.631608i	−0.232339	+	0.168804i
$15$	1.34407	+	1.67950i	0.347036	+	0.433644i
$16$	1.03976	+	3.20006i	0.259940	+	0.800014i
$17$	−3.42469	+	1.11275i	−0.830610	+	0.269882i	−0.693302	−	0.720647i	$-0.743845\pi$
$17$	−3.42469	+	1.11275i	−0.830610	+	0.269882i	−0.137308	+	0.990528i	$0.543845\pi$
$18$	−0.400388	+	0.551087i	−0.0943725	+	0.129893i
$19$	4.05270	−	2.94446i	0.929753	−	0.675505i	−0.0161792	−	0.999869i	$-0.505150\pi$
$19$	4.05270	−	2.94446i	0.929753	−	0.675505i	0.945932	+	0.324364i	$0.105150\pi$
$20$	3.53511	+	2.32483i	0.790475	+	0.519847i
$21$	−3.14823			−0.687000
$22$		0			0
$23$			5.84372i			1.21850i	0.792978	+	0.609250i	$0.208530\pi$
$23$			5.84372i			1.21850i	−0.792978	+	0.609250i	$0.791470\pi$
$24$	0.379917	−	1.16926i	0.0775503	−	0.238675i
$25$	4.97831	−	0.465248i	0.995661	−	0.0930496i
$26$	1.38327	+	1.00500i	0.271282	+	0.197098i
$27$	−4.64280	+	1.50854i	−0.893506	+	0.290318i
$28$	−5.88927	+	1.91354i	−1.11297	+	0.361625i
$29$	−1.65681	−	1.20374i	−0.307661	−	0.223529i	0.423231	−	0.906022i	$-0.360896\pi$
$29$	−1.65681	−	1.20374i	−0.307661	−	0.223529i	−0.730892	+	0.682493i	$0.760896\pi$
$30$	−0.249313	−	0.660850i	−0.0455181	−	0.120654i
$31$	−1.00645	+	3.09752i	−0.180763	+	0.556331i	−0.999850	−	0.0173387i	$-0.994481\pi$
$31$	−1.00645	+	3.09752i	−0.180763	+	0.556331i	0.819087	+	0.573670i	$0.194481\pi$
$32$		−	3.66082i		−	0.647147i
$33$		0			0
$34$	1.18237			0.202775
$35$	−4.02085	+	6.11407i	−0.679647	+	1.03347i
$36$	−3.17575	+	2.30732i	−0.529292	+	0.384553i
$37$	−3.66602	+	5.04584i	−0.602690	+	0.829531i	−0.995951	−	0.0898953i	$-0.971347\pi$
$37$	−3.66602	+	5.04584i	−0.602690	+	0.829531i	0.393261	+	0.919427i	$0.371347\pi$
$38$	−1.56434	+	0.508285i	−0.253769	+	0.0824547i
$39$	1.54799	+	4.76423i	0.247877	+	0.762888i
$40$	−1.78557	−	2.23118i	−0.282323	−	0.352781i
$41$	−8.25648	+	5.99868i	−1.28944	+	0.936837i	−0.999794	−	0.0202958i	$-0.993539\pi$
$41$	−8.25648	+	5.99868i	−1.28944	+	0.936837i	−0.289651	+	0.957132i	$0.593539\pi$
$42$	0.983129	+	0.319438i	0.151700	+	0.0492903i
$43$		−	0.596820i		−	0.0910142i	−0.998964	−	0.0455071i	$-0.985510\pi$
$43$		−	0.596820i		−	0.0910142i	0.998964	−	0.0455071i	$-0.0144904\pi$
$44$		0			0
$45$	−1.22645	+	4.47378i	−0.182828	+	0.666912i
$46$	0.592939	−	1.82488i	0.0874241	−	0.269064i
$47$	−0.565450	−	0.778275i	−0.0824793	−	0.113523i	0.765784	−	0.643098i	$-0.222351\pi$
$47$	−0.565450	−	0.778275i	−0.0824793	−	0.113523i	−0.848263	+	0.529575i	$0.822351\pi$
$48$	1.90259	−	2.61869i	0.274615	−	0.377975i
$49$	−1.14640	−	3.52824i	−0.163771	−	0.504035i
$50$	−1.60183	−	0.359841i	−0.226533	−	0.0508892i
$51$	2.80252	+	2.03615i	0.392431	+	0.285118i
$52$	5.79154	+	7.97137i	0.803142	+	1.10543i
$53$	0.374032	+	0.121530i	0.0513772	+	0.0166935i	0.334593	−	0.942363i	$-0.391401\pi$
$53$	0.374032	+	0.121530i	0.0513772	+	0.0166935i	−0.283216	+	0.959056i	$0.591401\pi$
$54$	1.60292			0.218129
$55$		0			0
$56$	4.18237			0.558893
$57$	−4.58320	−	1.48917i	−0.607059	−	0.197245i
$58$	0.395249	+	0.544013i	0.0518987	+	0.0714324i
$59$	−0.426713	−	0.310025i	−0.0555533	−	0.0403619i	0.559662	−	0.828721i	$-0.310931\pi$
$59$	−0.426713	−	0.310025i	−0.0555533	−	0.0403619i	−0.615215	+	0.788359i	$0.710931\pi$
$60$	−0.189574	−	4.06586i	−0.0244740	−	0.524900i
$61$	−1.64560	−	5.06465i	−0.210698	−	0.648462i	−0.999431	−	0.0337260i	$-0.989263\pi$
$61$	−1.64560	−	5.06465i	−0.210698	−	0.648462i	0.788733	−	0.614736i	$-0.210737\pi$
$62$	0.628585	−	0.865174i	0.0798304	−	0.109877i
$63$	−3.99057	−	5.49255i	−0.502764	−	0.691996i
$64$	1.70807	−	5.25691i	0.213509	−	0.657114i
$65$	11.2295	+	3.07847i	1.39285	+	0.381837i
$66$		0			0
$67$		−	8.45057i		−	1.03240i	−0.856468	−	0.516201i	$-0.827346\pi$
$67$		−	8.45057i		−	1.03240i	0.856468	−	0.516201i	$-0.172654\pi$
$68$	6.48016	+	2.10553i	0.785834	+	0.255333i
$69$	4.54802	−	3.30433i	0.547517	−	0.397795i
$70$	1.87600	−	1.50132i	0.224225	−	0.179442i
$71$	3.87119	+	11.9143i	0.459426	+	1.41397i	0.865859	+	0.500288i	$0.166772\pi$
$71$	3.87119	+	11.9143i	0.459426	+	1.41397i	−0.406433	+	0.913681i	$0.633228\pi$
$72$	2.52152	−	0.819292i	0.297164	−	0.0965545i
$73$	5.00515	−	6.88900i	0.585809	−	0.806297i	−0.408508	−	0.912755i	$-0.633951\pi$
$73$	5.00515	−	6.88900i	0.585809	−	0.806297i	0.994317	+	0.106458i	$0.0339509\pi$
$74$	1.65681	−	1.20374i	0.192600	−	0.139932i
$75$	−3.17707	−	3.61142i	−0.366857	−	0.417010i
$76$	−9.47874			−1.08729
$77$		0			0
$78$		−	1.64484i		−	0.186242i
$79$	−0.875246	+	2.69373i	−0.0984728	+	0.303068i	−0.988143	−	0.153535i	$-0.950934\pi$
$79$	−0.875246	+	2.69373i	−0.0984728	+	0.303068i	0.889670	+	0.456603i	$0.150934\pi$
$80$	−2.65573	−	7.03949i	−0.296919	−	0.787039i
$81$	−1.23573	−	0.897811i	−0.137303	−	0.0997567i
$82$	3.18699	−	1.03552i	0.351945	−	0.114354i
$83$	11.5465	−	3.75168i	1.26739	−	0.411800i	0.403269	−	0.915082i	$-0.367874\pi$
$83$	11.5465	−	3.75168i	1.26739	−	0.411800i	0.864123	+	0.503281i	$0.167874\pi$
$84$	4.81934	+	3.50146i	0.525833	+	0.382040i
$85$	7.53365	−	2.84215i	0.817139	−	0.308275i
$86$	−0.0605569	+	0.186375i	−0.00653002	+	0.0200973i
$87$			1.97010i			0.211217i
$88$		0			0
$89$	−9.00000			−0.953998			−0.476999	−	0.878904i	$-0.658275\pi$
$89$	−9.00000			−0.953998			−0.476999	+	0.878904i	$0.658275\pi$
$90$	0.836931	−	1.27263i	0.0882203	−	0.134147i
$91$	−13.7867	+	10.0166i	−1.44524	+	1.05003i
$92$	6.49938	−	8.94563i	0.677608	−	0.932647i
$93$	2.97981	−	0.968201i	0.308992	−	0.100398i
$94$	0.0976102	+	0.300413i	0.0100677	+	0.0309853i
$95$	−8.74563	+	6.99894i	−0.897282	+	0.718076i
$96$	−2.84912	+	2.07001i	−0.290787	+	0.211269i
$97$	−10.7414	−	3.49009i	−1.09062	−	0.354365i	−0.292136	−	0.956377i	$-0.594366\pi$
$97$	−10.7414	−	3.49009i	−1.09062	−	0.354365i	−0.798487	+	0.602012i	$0.794366\pi$
$98$			1.21812i			0.123049i
$99$		0			0
$100$	−8.13829	−	4.82466i	−0.813829	−	0.482466i
$101$	4.06884	−	12.5226i	0.404865	−	1.24605i	−0.516143	−	0.856503i	$-0.672633\pi$
$101$	4.06884	−	12.5226i	0.404865	−	1.24605i	0.921008	−	0.389544i	$-0.127367\pi$
$102$	−0.668570	−	0.920208i	−0.0661983	−	0.0911142i
$103$	−1.63539	+	2.25091i	−0.161139	+	0.221789i	−0.881950	−	0.471342i	$-0.843770\pi$
$103$	−1.63539	+	2.25091i	−0.161139	+	0.221789i	0.720811	+	0.693132i	$0.243770\pi$
$104$	−2.05648	−	6.32921i	−0.201655	−	0.620630i
$105$	7.03201	−	0.327874i	0.686254	−	0.0319972i
$106$	−0.104471	−	0.0759030i	−0.0101472	−	0.00737235i
$107$	−9.37530	−	12.9040i	−0.906345	−	1.24748i	−0.968400	−	0.249404i	$-0.919765\pi$
$107$	−9.37530	−	12.9040i	−0.906345	−	1.24748i	0.0620550	−	0.998073i	$-0.480235\pi$
$108$	8.78503	+	2.85443i	0.845340	+	0.274668i
$109$	3.90911			0.374425			0.187212	−	0.982319i	$-0.440055\pi$
$109$	3.90911			0.374425			0.187212	+	0.982319i	$0.440055\pi$
$110$		0			0
$111$	6.00000			0.569495
$112$	10.4725	+	3.40271i	0.989555	+	0.321526i
$113$	5.80589	+	7.99112i	0.546172	+	0.751742i	0.989487	−	0.144625i	$-0.0461975\pi$
$113$	5.80589	+	7.99112i	0.546172	+	0.751742i	−0.443314	+	0.896366i	$0.646197\pi$
$114$	1.28014	+	0.930076i	0.119896	+	0.0871096i
$115$	−0.608598	−	13.0528i	−0.0567521	−	1.21718i
$116$	1.19746	+	3.68539i	0.111181	+	0.342180i
$117$	−6.34973	+	8.73966i	−0.587033	+	0.807981i
$118$	0.101797	+	0.140112i	0.00937118	+	0.0128983i
$119$	−3.64157	+	11.2076i	−0.333822	+	1.02740i
$120$	−0.726825	+	2.65129i	−0.0663497	+	0.242028i
$121$		0			0
$122$			1.74856i			0.158307i
$123$	9.33724	+	3.03385i	0.841911	+	0.273553i
$124$	4.98574	−	3.62235i	0.447732	−	0.325297i
$125$	−11.0713	+	1.55767i	−0.990247	+	0.139322i
$126$	0.688868	+	2.12012i	0.0613693	+	0.188875i
$127$	5.15080	−	1.67360i	0.457060	−	0.148508i	−0.0714331	−	0.997445i	$-0.522757\pi$
$127$	5.15080	−	1.67360i	0.457060	−	0.148508i	0.528493	+	0.848938i	$0.322757\pi$
$128$	−5.37034	+	7.39164i	−0.474676	+	0.653335i
$129$	−0.464490	+	0.337472i	−0.0408961	+	0.0297127i
$130$	−3.19440	−	2.10076i	−0.280167	−	0.184249i
$131$	−19.1241			−1.67088			−0.835440	−	0.549582i	$-0.814787\pi$
$131$	−19.1241			−1.67088			−0.835440	+	0.549582i	$0.814787\pi$
$132$		0			0
$133$		−	16.3937i		−	1.42152i
$134$	−0.857445	+	2.63894i	−0.0740719	+	0.227970i
$135$	10.2132	−	3.85305i	0.879015	−	0.331618i
$136$	−3.72310	−	2.70499i	−0.319253	−	0.231951i
$137$	15.2577	−	4.95751i	1.30355	−	0.423549i	0.426735	−	0.904377i	$-0.359664\pi$
$137$	15.2577	−	4.95751i	1.30355	−	0.423549i	0.876815	+	0.480828i	$0.159664\pi$
$138$	−1.75553	+	0.570407i	−0.149441	+	0.0485563i
$139$	−10.1688	−	7.38809i	−0.862509	−	0.626649i	0.0660576	−	0.997816i	$-0.478958\pi$
$139$	−10.1688	−	7.38809i	−0.862509	−	0.626649i	−0.928566	+	0.371167i	$0.878958\pi$
$140$	12.9552	−	4.88750i	1.09492	−	0.413069i
$141$	−0.285978	+	0.880150i	−0.0240837	+	0.0741220i
$142$		−	4.11339i		−	0.345188i
$143$		0			0
$144$	6.98034			0.581695
$145$	3.82607	+	2.51617i	0.317738	+	0.208957i
$146$	−2.26201	+	1.64345i	−0.187205	+	0.136012i
$147$	−2.09771	+	2.88726i	−0.173017	+	0.238137i
$148$	11.2240	−	3.64689i	0.922604	−	0.299772i
$149$	−4.30397	−	13.2463i	−0.352595	−	1.08518i	−0.957391	−	0.288795i	$-0.906745\pi$
$149$	−4.30397	−	13.2463i	−0.352595	−	1.08518i	0.604796	−	0.796380i	$-0.293255\pi$
$150$	0.625700	+	1.45014i	0.0510882	+	0.118403i
$151$	−12.9713	+	9.42423i	−1.05559	+	0.766933i	−0.973268	−	0.229672i	$-0.926235\pi$
$151$	−12.9713	+	9.42423i	−1.05559	+	0.766933i	−0.0823251	+	0.996606i	$0.526235\pi$
$152$	6.08870	+	1.97834i	0.493859	+	0.160464i
$153$			7.47034i			0.603941i
$154$		0			0
$155$	1.92544	−	7.02357i	0.154655	−	0.564146i
$156$	2.92909	−	9.01482i	0.234515	−	0.721763i
$157$	1.33714	+	1.84042i	0.106715	+	0.146881i	0.859034	−	0.511918i	$-0.171065\pi$
$157$	1.33714	+	1.84042i	0.106715	+	0.146881i	−0.752319	+	0.658799i	$0.771065\pi$
$158$	0.546643	−	0.752390i	0.0434886	−	0.0598570i
$159$	−0.116912	−	0.359819i	−0.00927174	−	0.0285355i
$160$	0.381258	+	8.17695i	0.0301411	+	0.646445i
$161$	15.4717	+	11.2409i	1.21934	+	0.885904i
$162$	0.294797	+	0.405753i	0.0231614	+	0.0318790i
$163$	−21.4648	−	6.97433i	−1.68125	−	0.546272i	−0.696099	−	0.717946i	$-0.745082\pi$
$163$	−21.4648	−	6.97433i	−1.68125	−	0.546272i	−0.985154	+	0.171674i	$0.945082\pi$
$164$	19.3108			1.50792
$165$		0			0
$166$	−3.98640			−0.309405
$167$	3.62307	+	1.17721i	0.280362	+	0.0910951i	0.445823	−	0.895121i	$-0.352911\pi$
$167$	3.62307	+	1.17721i	0.280362	+	0.0910951i	−0.165461	+	0.986216i	$0.552911\pi$
$168$	−2.36492	−	3.25503i	−0.182457	−	0.251131i
$169$	11.4200	+	8.29709i	0.878459	+	0.638238i
$170$	−2.64099	+	0.123139i	−0.202555	+	0.00944430i
$171$	−3.21140	−	9.88367i	−0.245582	−	0.755823i
$172$	−0.663783	+	0.913618i	−0.0506130	+	0.0696628i
$173$	−0.558191	−	0.768284i	−0.0424385	−	0.0584115i	0.787270	−	0.616608i	$-0.211494\pi$
$173$	−0.558191	−	0.768284i	−0.0424385	−	0.0584115i	−0.829709	+	0.558196i	$0.811494\pi$
$174$	0.199898	−	0.615224i	0.0151543	−	0.0466400i
$175$	8.34438	−	14.0754i	0.630776	−	1.06400i
$176$		0			0
$177$			0.507404i			0.0381388i
$178$	2.81052	+	0.913193i	0.210657	+	0.0684467i
$179$	2.94099	−	2.13675i	0.219820	−	0.159708i	−0.472426	−	0.881370i	$-0.656622\pi$
$179$	2.94099	−	2.13675i	0.219820	−	0.159708i	0.692246	+	0.721662i	$0.256622\pi$
$180$	6.85319	−	5.48446i	0.510807	−	0.408788i
$181$	3.88396	+	11.9536i	0.288692	+	0.888503i	0.985268	+	0.171020i	$0.0547061\pi$
$181$	3.88396	+	11.9536i	0.288692	+	0.888503i	−0.696576	+	0.717483i	$0.745294\pi$
$182$	5.32166	−	1.72911i	0.394467	−	0.128170i
$183$	−3.01118	+	4.14453i	−0.222593	+	0.306373i
$184$	−6.04197	+	4.38975i	−0.445420	+	0.323617i
$185$	7.66307	−	11.6524i	0.563400	−	0.856702i
$186$	−1.02878			−0.0754335
$187$		0			0
$188$			1.82028i			0.132758i
$189$	−4.93681	+	15.1939i	−0.359100	+	1.10520i
$190$	3.44124	−	1.29824i	0.249654	−	0.0941846i
$191$	2.16538	+	1.57324i	0.156681	+	0.113836i	0.663364	−	0.748297i	$-0.269128\pi$
$191$	2.16538	+	1.57324i	0.156681	+	0.113836i	−0.506682	+	0.862133i	$0.669128\pi$
$192$	−5.05715	+	1.64317i	−0.364969	+	0.118585i
$193$	0.369230	−	0.119970i	0.0265778	−	0.00863564i	−0.295698	−	0.955281i	$-0.595552\pi$
$193$	0.369230	−	0.119970i	0.0265778	−	0.00863564i	0.322276	+	0.946646i	$0.395552\pi$
$194$	3.00020	+	2.17977i	0.215402	+	0.156498i
$195$	−3.95384	−	10.4804i	−0.283140	−	0.750515i
$196$	−2.16919	+	6.67610i	−0.154942	+	0.476864i
$197$			18.5416i			1.32104i	0.750810	+	0.660518i	$0.229663\pi$
$197$			18.5416i			1.32104i	−0.750810	+	0.660518i	$0.770337\pi$
$198$		0			0
$199$	−10.1491			−0.719451			−0.359726	−	0.933058i	$-0.617130\pi$
$199$	−10.1491			−0.719451			−0.359726	+	0.933058i	$0.617130\pi$
$200$	4.22069	+	4.79771i	0.298448	+	0.339249i
$201$	−6.57686	+	4.77837i	−0.463896	+	0.337040i
$202$	−2.54124	+	3.49771i	−0.178801	+	0.246098i
$203$	−6.37399	+	2.07103i	−0.447366	+	0.145358i
$204$	−2.02552	−	6.23391i	−0.141815	−	0.436461i
$205$	17.8173	−	14.2588i	1.24441	−	0.995876i
$206$	0.739089	−	0.536980i	0.0514948	−	0.0374132i
$207$	11.5298	+	3.74625i	0.801375	+	0.260383i
$208$		−	17.5212i		−	1.21487i
$209$		0			0
$210$	−2.22922	−	0.611121i	−0.153831	−	0.0421714i
$211$	2.61846	−	8.05879i	0.180262	−	0.554790i	−0.819572	−	0.572976i	$-0.805789\pi$
$211$	2.61846	−	8.05879i	0.180262	−	0.554790i	0.999835	+	0.0181856i	$0.00578896\pi$
$212$	−0.437406	−	0.602038i	−0.0300412	−	0.0413481i
$213$	7.08364	−	9.74979i	0.485363	−	0.668045i
$214$	1.61840	+	4.98093i	0.110632	+	0.340490i
$215$	0.0621562	+	1.33308i	0.00423902	+	0.0909154i
$216$	−5.04734	−	3.66710i	−0.343428	−	0.249515i
$217$	6.26495	+	8.62296i	0.425292	+	0.585365i
$218$	−1.22074	−	0.396641i	−0.0826787	−	0.0268639i
$219$	−8.19170			−0.553544
$220$		0			0
$221$	18.7511			1.26134
$222$	−1.87368	−	0.608796i	−0.125753	−	0.0408597i
$223$	−13.9345	−	19.1793i	−0.933126	−	1.28434i	−0.958628	−	0.284663i	$-0.908118\pi$
$223$	−13.9345	−	19.1793i	−0.933126	−	1.28434i	0.0255016	−	0.999675i	$-0.491882\pi$
$224$	−9.69230	−	7.04187i	−0.647594	−	0.470504i
$225$	2.27351	−	10.1206i	0.151568	−	0.674704i
$226$	−1.00224	−	3.08457i	−0.0666678	−	0.205182i
$227$	−0.421197	+	0.579727i	−0.0279558	+	0.0384779i	−0.822766	−	0.568380i	$-0.807570\pi$
$227$	−0.421197	+	0.579727i	−0.0279558	+	0.0384779i	0.794810	+	0.606858i	$0.207570\pi$
$228$	5.35975	+	7.37706i	0.354958	+	0.488558i
$229$	−4.06330	+	12.5055i	−0.268510	+	0.826390i	0.722354	+	0.691524i	$0.243060\pi$
$229$	−4.06330	+	12.5055i	−0.268510	+	0.826390i	−0.990864	+	0.134866i	$0.956940\pi$
$230$	−1.13436	+	4.13788i	−0.0747975	+	0.272843i
$231$		0			0
$232$		−	2.61725i		−	0.171831i
$233$	−25.6145	−	8.32265i	−1.67806	−	0.545235i	−0.693527	−	0.720430i	$-0.743944\pi$
$233$	−25.6145	−	8.32265i	−1.67806	−	0.545235i	−0.984534	+	0.175195i	$0.943944\pi$
$234$	2.86967	−	2.08494i	0.187596	−	0.136297i
$235$	1.34407	+	1.67950i	0.0876772	+	0.109558i
$236$	0.308407	+	0.949180i	0.0200756	+	0.0617864i
$237$	2.59137	−	0.841987i	0.168327	−	0.0546929i
$238$	2.27438	−	3.13041i	0.147426	−	0.202915i
$239$	4.05270	−	2.94446i	0.262147	−	0.190461i	−0.448946	−	0.893559i	$-0.648200\pi$
$239$	4.05270	−	2.94446i	0.262147	−	0.190461i	0.711093	+	0.703098i	$0.248200\pi$
$240$	−3.97698	+	6.04736i	−0.256713	+	0.390356i
$241$	−4.69354			−0.302337			−0.151169	−	0.988508i	$-0.548304\pi$
$241$	−4.69354			−0.302337			−0.151169	+	0.988508i	$0.548304\pi$
$242$		0			0
$243$			16.1146i			1.03375i
$244$	−3.11379	+	9.58326i	−0.199340	+	0.613505i
$245$	2.92809	+	7.76144i	0.187069	+	0.495860i
$246$	−2.60800	−	1.89482i	−0.166280	−	0.120810i
$247$	−24.8087	+	8.06085i	−1.57854	+	0.512900i
$248$	−3.95864	+	1.28624i	−0.251374	+	0.0816762i
$249$	−9.44879	−	6.86495i	−0.598793	−	0.435048i
$250$	3.61540	+	0.636932i	0.228658	+	0.0402831i
$251$	1.35298	−	4.16404i	0.0853994	−	0.262832i	−0.899234	−	0.437469i	$-0.855875\pi$
$251$	1.35298	−	4.16404i	0.0853994	−	0.262832i	0.984633	+	0.174637i	$0.0558751\pi$
$252$			12.8464i			0.809244i
$253$		0			0
$254$	−1.77831			−0.111581
$255$	−6.47187	−	4.25615i	−0.405284	−	0.266531i
$256$	−6.51655	+	4.73455i	−0.407284	+	0.295909i
$257$	3.83010	−	5.27169i	0.238915	−	0.328839i	−0.672675	−	0.739938i	$-0.734855\pi$
$257$	3.83010	−	5.27169i	0.238915	−	0.328839i	0.911591	+	0.411099i	$0.134855\pi$
$258$	0.179293	−	0.0582557i	0.0111623	−	0.00362684i
$259$	6.30739	+	19.4121i	0.391922	+	1.20621i
$260$	−13.7664	−	17.2020i	−0.853756	−	1.06682i
$261$	−3.43713	+	2.49722i	−0.212753	+	0.154574i
$262$	5.97207	+	1.94044i	0.368956	+	0.119881i
$263$			4.28212i			0.264047i	0.991247	+	0.132023i	$0.0421474\pi$
$263$			4.28212i			0.264047i	−0.991247	+	0.132023i	$0.957853\pi$
$264$		0			0
$265$	−0.848110	−	0.232501i	−0.0520990	−	0.0142824i
$266$	−1.66341	+	5.11943i	−0.101990	+	0.313893i
$267$	5.08905	+	7.00447i	0.311445	+	0.428667i
$268$	−9.39871	+	12.9362i	−0.574118	+	0.790205i
$269$	−3.28227	−	10.1018i	−0.200124	−	0.615918i	−0.999878	−	0.0155908i	$-0.995037\pi$
$269$	−3.28227	−	10.1018i	−0.200124	−	0.615918i	0.799755	−	0.600327i	$-0.204963\pi$
$270$	−3.58034	+	0.166937i	−0.217893	+	0.0101594i
$271$	−8.61649	−	6.26025i	−0.523415	−	0.380283i	0.294474	−	0.955659i	$-0.404856\pi$
$271$	−8.61649	−	6.26025i	−0.523415	−	0.380283i	−0.817889	+	0.575376i	$0.804856\pi$
$272$	−7.12173	−	9.80222i	−0.431818	−	0.594347i
$273$	15.5914	+	5.06594i	0.943632	+	0.306605i
$274$	−5.26768			−0.318232
$275$		0			0
$276$	−10.6372			−0.640286
$277$	−6.99082	−	2.27145i	−0.420037	−	0.136478i	0.0913696	−	0.995817i	$-0.470876\pi$
$277$	−6.99082	−	2.27145i	−0.420037	−	0.136478i	−0.511407	+	0.859339i	$0.670876\pi$
$278$	2.42588	+	3.33894i	0.145495	+	0.200256i
$279$	5.46626	+	3.97147i	0.327257	+	0.237766i
$280$	−9.34191	+	0.435575i	−0.558286	+	0.0260306i
$281$	8.72335	+	26.8477i	0.520391	+	1.60160i	0.773253	+	0.634097i	$0.218628\pi$
$281$	8.72335	+	26.8477i	0.520391	+	1.60160i	−0.252862	+	0.967502i	$0.581372\pi$
$282$	0.178610	−	0.245836i	0.0106361	−	0.0146393i
$283$	5.91415	+	8.14012i	0.351559	+	0.483880i	0.947773	−	0.318946i	$-0.103329\pi$
$283$	5.91415	+	8.14012i	0.351559	+	0.483880i	−0.596213	+	0.802826i	$0.703329\pi$
$284$	7.32502	−	22.5441i	0.434660	−	1.33775i
$285$	10.3923	+	2.84895i	0.615587	+	0.168757i
$286$		0			0
$287$			33.3986i			1.97146i
$288$	−7.22286	−	2.34685i	−0.425611	−	0.138290i
$289$	−3.26297	+	2.37069i	−0.191940	+	0.139452i
$290$	−0.939500	−	1.17397i	−0.0551694	−	0.0689377i
$291$	3.35747	+	10.3332i	0.196818	+	0.605744i
$292$	−15.3239	+	4.97903i	−0.896762	+	0.291376i
$293$	0.0143892	−	0.0198050i	0.000840625	−	0.00115702i	−0.808596	−	0.588364i	$-0.799772\pi$
$293$	0.0143892	−	0.0198050i	0.000840625	−	0.00115702i	0.809437	+	0.587207i	$0.199772\pi$
$294$	0.948032	−	0.688786i	0.0552904	−	0.0401708i
$295$	0.985412	+	0.648045i	0.0573729	+	0.0377307i
$296$	−7.97090			−0.463299
$297$		0			0
$298$			4.57325i			0.264921i
$299$	9.40337	−	28.9406i	0.543811	−	1.67368i
$300$	0.846883	+	9.06193i	0.0488948	+	0.523191i
$301$	−1.58013	−	1.14803i	−0.0910770	−	0.0661713i
$302$	5.00693	−	1.62685i	0.288116	−	0.0936147i
$303$	−12.0468	+	3.91423i	−0.692068	+	0.224867i
$304$	13.6363	+	9.90734i	0.782094	+	0.568225i
$305$	4.20315	+	11.1412i	0.240672	+	0.637945i
$306$	0.757985	−	2.33284i	0.0433311	−	0.133359i
$307$		−	32.9698i		−	1.88169i	−0.338839	−	0.940844i	$-0.610034\pi$
$307$		−	32.9698i		−	1.88169i	0.338839	−	0.940844i	$-0.389966\pi$
$308$		0			0
$309$	2.67656			0.152264
$310$	−1.31393	+	1.99795i	−0.0746262	+	0.113476i
$311$	3.90405	−	2.83646i	0.221378	−	0.160841i	−0.471569	−	0.881829i	$-0.656312\pi$
$311$	3.90405	−	2.83646i	0.221378	−	0.160841i	0.692947	+	0.720989i	$0.256312\pi$
$312$	−3.76302	+	5.17936i	−0.213039	+	0.293223i
$313$	−16.2309	+	5.27374i	−0.917424	+	0.298089i	−0.729410	−	0.684077i	$-0.760205\pi$
$313$	−16.2309	+	5.27374i	−0.917424	+	0.298089i	−0.188014	+	0.982166i	$0.560205\pi$
$314$	−0.230823	−	0.710399i	−0.0130261	−	0.0400902i
$315$	9.48552	+	11.8528i	0.534449	+	0.667828i
$316$	4.33580	−	3.15014i	0.243908	−	0.177209i
$317$	1.63255	+	0.530448i	0.0916932	+	0.0297929i	0.354504	−	0.935054i	$-0.384650\pi$
$317$	1.63255	+	0.530448i	0.0916932	+	0.0297929i	−0.262811	+	0.964847i	$0.584650\pi$
$318$			0.124227i			0.00696629i
$319$		0			0
$320$	−3.26774	+	11.9199i	−0.182672	+	0.666345i
$321$	−4.74159	+	14.5931i	−0.264650	+	0.814508i
$322$	−3.69094	−	5.08015i	−0.205688	−	0.283105i
$323$	−10.6028	+	14.5935i	−0.589956	+	0.812005i
$324$	0.893125	+	2.74876i	0.0496181	+	0.152709i
$325$	−25.4033	−	5.70669i	−1.40912	−	0.316550i
$326$	5.99537	+	4.35589i	0.332053	+	0.241250i
$327$	−2.21040	−	3.04236i	−0.122236	−	0.168243i
$328$	−12.4044	−	4.03042i	−0.684917	−	0.222543i
$329$	−3.14823			−0.173567
$330$		0			0
$331$	0.892186			0.0490390			0.0245195	−	0.999699i	$-0.492194\pi$
$331$	0.892186			0.0490390			0.0245195	+	0.999699i	$0.492194\pi$
$332$	−21.8481	−	7.09888i	−1.19907	−	0.389601i
$333$	7.60536	+	10.4679i	0.416771	+	0.573636i
$334$	−1.01197	−	0.735237i	−0.0553724	−	0.0402304i
$335$	0.880089	+	18.8755i	0.0480844	+	1.03128i
$336$	−3.27341	−	10.0745i	−0.178579	−	0.549610i
$337$	11.0419	−	15.1979i	0.601491	−	0.827881i	−0.394353	−	0.918959i	$-0.629031\pi$
$337$	11.0419	−	15.1979i	0.601491	−	0.827881i	0.995844	+	0.0910780i	$0.0290312\pi$
$338$	−2.72435	−	3.74975i	−0.148185	−	0.203960i
$339$	2.93635	−	9.03715i	0.159481	−	0.490831i
$340$	−14.6936	−	4.02812i	−0.796874	−	0.218456i
$341$		0			0
$342$			3.41232i			0.184517i
$343$	10.2404	+	3.32731i	0.552930	+	0.179658i
$344$	0.617067	−	0.448326i	0.0332700	−	0.0241721i
$345$	−9.81452	+	7.85435i	−0.528396	+	0.422864i
$346$	0.0963572	+	0.296557i	0.00518020	+	0.0159430i
$347$	−19.9340	+	6.47695i	−1.07011	+	0.347701i	−0.790531	−	0.612421i	$-0.790196\pi$
$347$	−19.9340	+	6.47695i	−1.07011	+	0.347701i	−0.279581	+	0.960122i	$0.590196\pi$
$348$	2.19115	−	3.01586i	0.117458	−	0.161667i
$349$	21.9945	−	15.9799i	1.17734	−	0.855385i	0.185468	−	0.982650i	$-0.440620\pi$
$349$	21.9945	−	15.9799i	1.17734	−	0.855385i	0.991869	+	0.127265i	$0.0406199\pi$
$350$	−4.03396	+	3.54879i	−0.215624	+	0.189691i
$351$	25.4205			1.35685
$352$		0			0
$353$		−	8.66841i		−	0.461373i	−0.973028	−	0.230686i	$-0.925903\pi$
$353$		−	8.66841i		−	0.461373i	0.973028	−	0.230686i	$-0.0740972\pi$
$354$	0.0514842	−	0.158452i	0.00273635	−	0.00842163i
$355$	−9.88768	−	26.2091i	−0.524784	−	1.39104i
$356$	13.7773	+	10.0098i	0.730195	+	0.530518i
$357$	10.7817	−	3.50319i	0.570629	−	0.185409i
$358$	−1.13522	+	0.368855i	−0.0599982	+	0.0194946i
$359$	5.58598	+	4.05845i	0.294817	+	0.214197i	0.725354	−	0.688376i	$-0.241676\pi$
$359$	5.58598	+	4.05845i	0.294817	+	0.214197i	−0.430537	+	0.902573i	$0.641676\pi$
$360$	−5.54685	+	2.09261i	−0.292345	+	0.110290i
$361$	1.88322	−	5.79595i	0.0991167	−	0.305050i
$362$		−	4.12695i		−	0.216908i
$363$		0			0
$364$	32.2453			1.69011
$365$	−10.4623	+	15.9088i	−0.547620	+	0.832706i
$366$	1.36086	−	0.988723i	0.0711333	−	0.0516814i
$367$	9.57503	−	13.1789i	0.499813	−	0.687933i	−0.482347	−	0.875980i	$-0.660216\pi$
$367$	9.57503	−	13.1789i	0.499813	−	0.687933i	0.982160	+	0.188047i	$0.0602157\pi$
$368$	−18.7003	+	6.07608i	−0.974818	+	0.316738i
$369$	6.54251	+	20.1358i	0.340590	+	1.04823i
$370$	−3.57535	+	2.86127i	−0.185873	+	0.148750i
$371$	1.04124	−	0.756505i	0.0540585	−	0.0392758i
$372$	−5.63836	−	1.83202i	−0.292336	−	0.0949856i
$373$		−	3.69622i		−	0.191383i	−0.995411	−	0.0956915i	$-0.969494\pi$
$373$		−	3.69622i		−	0.191383i	0.995411	−	0.0956915i	$-0.0305062\pi$
$374$		0			0
$375$	7.47255	+	7.73573i	0.385881	+	0.399471i
$376$	0.379917	−	1.16926i	0.0195927	−	0.0603002i
$377$	6.26822	+	8.62746i	0.322830	+	0.444337i
$378$	3.08334	−	4.24385i	0.158590	−	0.218280i
$379$	1.14391	+	3.52060i	0.0587588	+	0.180841i	0.976128	−	0.217197i	$-0.0696913\pi$
$379$	1.14391	+	3.52060i	0.0587588	+	0.180841i	−0.917369	+	0.398038i	$0.869691\pi$
$380$	21.1721	−	0.987169i	1.08611	−	0.0506407i
$381$	−4.21504	−	3.06241i	−0.215943	−	0.156892i
$382$	−0.516575	−	0.711004i	−0.0264303	−	0.0363781i
$383$	29.8355	+	9.69413i	1.52452	+	0.495347i	0.947056	−	0.321068i	$-0.104042\pi$
$383$	29.8355	+	9.69413i	1.52452	+	0.495347i	0.577465	+	0.816415i	$0.304042\pi$
$384$	8.78939			0.448532
$385$		0			0
$386$	−0.127476			−0.00648836
$387$	−1.17754	−	0.382605i	−0.0598576	−	0.0194489i
$388$	12.5614	+	17.2892i	0.637707	+	0.877728i
$389$	−11.1852	−	8.12652i	−0.567112	−	0.412031i	0.266943	−	0.963712i	$-0.413987\pi$
$389$	−11.1852	−	8.12652i	−0.567112	−	0.412031i	−0.834055	+	0.551681i	$0.813987\pi$
$390$	0.171303	+	3.67399i	0.00867428	+	0.186040i
$391$	−6.50261	−	20.0130i	−0.328851	−	1.01210i
$392$	2.78678	−	3.83567i	0.140754	−	0.193731i
$393$	10.8137	+	14.8838i	0.545479	+	0.750788i
$394$	1.88134	−	5.79018i	0.0947807	−	0.291705i
$395$	1.67445	−	6.10798i	0.0842505	−	0.307326i
$396$		0			0
$397$		−	9.73413i		−	0.488542i	−0.969707	−	0.244271i	$-0.921451\pi$
$397$		−	9.73413i		−	0.488542i	0.969707	−	0.244271i	$-0.0785486\pi$
$398$	3.16936	+	1.02979i	0.158866	+	0.0516187i
$399$	−12.7588	+	9.26983i	−0.638740	+	0.464072i
$400$	6.66507	+	15.4471i	0.333254	+	0.772356i
$401$	−8.08908	−	24.8956i	−0.403949	−	1.24323i	−0.921769	−	0.387739i	$-0.873256\pi$
$401$	−8.08908	−	24.8956i	−0.403949	−	1.24323i	0.517820	−	0.855490i	$-0.326744\pi$
$402$	2.53866	−	0.824862i	0.126617	−	0.0411404i
$403$	9.96869	−	13.7207i	0.496576	−	0.683478i
$404$	−20.1563	+	14.6444i	−1.00281	+	0.728585i
$405$	2.85368	+	1.87669i	0.141801	+	0.0932535i
$406$	2.20061			0.109214
$407$		0			0
$408$			4.42713i			0.219175i
$409$	0.817540	−	2.51613i	0.0404248	−	0.124415i	−0.928808	−	0.370563i	$-0.879165\pi$
$409$	0.817540	−	2.51613i	0.0404248	−	0.124415i	0.969232	+	0.246148i	$0.0791649\pi$
$410$	−7.01076	+	2.64489i	−0.346237	+	0.130622i
$411$	−12.4857	−	9.07142i	−0.615876	−	0.447460i
$412$	5.00693	−	1.62685i	0.246674	−	0.0801492i
$413$	−1.64163	+	0.533399i	−0.0807795	+	0.0262468i
$414$	−3.22040	−	2.33976i	−0.158274	−	0.114993i
$415$	−25.4000	+	9.58242i	−1.24684	+	0.470383i
$416$	−5.89077	+	18.1299i	−0.288819	+	0.888893i
$417$			12.0917i			0.592135i
$418$		0			0
$419$	−24.3118			−1.18771			−0.593855	−	0.804572i	$-0.702395\pi$
$419$	−24.3118			−1.18771			−0.593855	+	0.804572i	$0.702395\pi$
$420$	−11.1293	−	7.31908i	−0.543056	−	0.357135i
$421$	22.5653	−	16.3946i	1.09976	−	0.799025i	0.118742	−	0.992925i	$-0.462114\pi$
$421$	22.5653	−	16.3946i	1.09976	−	0.799025i	0.981021	+	0.193900i	$0.0621139\pi$
$422$	−1.63539	+	2.25091i	−0.0796093	+	0.109573i
$423$	−1.89805	+	0.616712i	−0.0922861	+	0.0299856i
$424$	0.155316	+	0.478013i	0.00754281	+	0.0232144i
$425$	−16.5315	+	7.13295i	−0.801894	+	0.345999i
$426$	−3.20135	+	2.32592i	−0.155106	+	0.112691i
$427$	−16.5745	−	5.38538i	−0.802096	−	0.260617i
$428$			30.1808i			1.45884i
$429$		0			0
$430$	0.115852	−	0.422602i	0.00558689	−	0.0203797i
$431$	−6.19197	+	19.0569i	−0.298257	+	0.917940i	0.683851	+	0.729622i	$0.260304\pi$
$431$	−6.19197	+	19.0569i	−0.298257	+	0.917940i	−0.982108	+	0.188319i	$0.939696\pi$
$432$	−9.65480	−	13.2887i	−0.464517	−	0.639353i
$433$	2.57728	−	3.54732i	0.123856	−	0.170473i	−0.742586	−	0.669750i	$-0.766401\pi$
$433$	2.57728	−	3.54732i	0.123856	−	0.170473i	0.866442	+	0.499277i	$0.166401\pi$
$434$	−1.08148	−	3.32846i	−0.0519128	−	0.159771i
$435$	−0.205178	−	4.40050i	−0.00983751	−	0.210988i
$436$	−5.98410	−	4.34771i	−0.286587	−	0.208217i
$437$	17.2066	+	23.6829i	0.823104	+	1.13290i
$438$	2.55810	+	0.831178i	0.122231	+	0.0397152i
$439$	−34.2675			−1.63550			−0.817750	−	0.575573i	$-0.804779\pi$
$439$	−34.2675			−1.63550			−0.817750	+	0.575573i	$0.804779\pi$
$440$		0			0
$441$	−7.69622			−0.366487
$442$	−5.85560	−	1.90260i	−0.278522	−	0.0904974i
$443$	−10.8700	−	14.9613i	−0.516450	−	0.710832i	0.468540	−	0.883442i	$-0.344780\pi$
$443$	−10.8700	−	14.9613i	−0.516450	−	0.710832i	−0.984990	+	0.172610i	$0.944780\pi$
$444$	−9.18486	−	6.67319i	−0.435894	−	0.316696i
$445$	20.1028	−	0.937310i	0.952963	−	0.0444328i
$446$	2.40544	+	7.40318i	0.113901	+	0.350551i
$447$	−7.87554	+	10.8398i	−0.372500	+	0.512703i
$448$	−10.6325	−	14.6343i	−0.502337	−	0.691408i
$449$	−5.80049	+	17.8521i	−0.273742	+	0.842491i	0.715808	+	0.698298i	$0.246059\pi$
$449$	−5.80049	+	17.8521i	−0.273742	+	0.842491i	−0.989550	+	0.144194i	$0.953941\pi$
$450$	−1.73686	+	2.92976i	−0.0818766	+	0.138110i
$451$		0			0
$452$		−	18.6902i		−	0.879113i
$453$	14.6693	+	4.76634i	0.689223	+	0.223942i
$454$	0.190354	−	0.138300i	0.00893375	−	0.00649075i
$455$	29.7514	−	23.8094i	1.39476	−	1.11620i
$456$	−1.90316	−	5.85733i	−0.0891237	−	0.274295i
$457$	13.7894	−	4.48045i	0.645041	−	0.209586i	0.0318145	−	0.999494i	$-0.489871\pi$
$457$	13.7894	−	4.48045i	0.645041	−	0.209586i	0.613226	+	0.789907i	$0.289871\pi$
$458$	2.53777	−	3.49295i	0.118582	−	0.163215i
$459$	14.2215	−	10.3325i	0.663804	−	0.482282i
$460$	−13.5856	+	20.6582i	−0.633434	+	0.963195i
$461$	15.2150			0.708632			0.354316	−	0.935126i	$-0.384714\pi$
$461$	15.2150			0.708632			0.354316	+	0.935126i	$0.384714\pi$
$462$		0			0
$463$		−	9.08060i		−	0.422011i	−0.977485	−	0.211006i	$-0.932326\pi$
$463$		−	9.08060i		−	0.422011i	0.977485	−	0.211006i	$-0.0676739\pi$
$464$	2.12935	−	6.55347i	0.0988527	−	0.304237i
$465$	−6.55500	+	2.47295i	−0.303981	+	0.114680i
$466$	7.15443	+	5.19800i	0.331422	+	0.240792i
$467$	−16.4381	+	5.34105i	−0.760663	+	0.247154i	−0.663563	−	0.748120i	$-0.730957\pi$
$467$	−16.4381	+	5.34105i	−0.760663	+	0.247154i	−0.0970999	+	0.995275i	$0.530957\pi$
$468$	19.4405	−	6.31659i	0.898636	−	0.291985i
$469$	−22.3735	−	16.2553i	−1.03311	−	0.750601i
$470$	−0.249313	−	0.660850i	−0.0115000	−	0.0304827i
$471$	0.676264	−	2.08133i	0.0311606	−	0.0959024i
$472$		−	0.674078i		−	0.0310269i
$473$		0			0
$474$	−0.894665			−0.0410933
$475$	18.8057	−	16.5439i	0.862864	−	0.759088i
$476$	18.0396	−	13.1066i	0.826846	−	0.600738i
$477$	0.479563	−	0.660062i	0.0219577	−	0.0302222i
$478$	−1.56434	+	0.508285i	−0.0715512	+	0.0232484i
$479$	−10.0834	−	31.0335i	−0.460722	−	1.41796i	−0.864284	−	0.503005i	$-0.832228\pi$
$479$	−10.0834	−	31.0335i	−0.460722	−	1.41796i	0.403561	−	0.914953i	$-0.367772\pi$
$480$	6.14833	−	4.92038i	0.280632	−	0.224584i
$481$	26.2752	−	19.0900i	1.19804	−	0.870430i
$482$	1.46570	+	0.476234i	0.0667607	+	0.0216919i
$483$		−	18.3974i		−	0.837110i
$484$		0			0
$485$	24.3559	+	6.67694i	1.10594	+	0.303184i
$486$	1.63508	−	5.03226i	0.0741687	−	0.228268i
$487$	−8.96742	−	12.3426i	−0.406353	−	0.559297i	0.555971	−	0.831201i	$-0.312346\pi$
$487$	−8.96742	−	12.3426i	−0.406353	−	0.559297i	−0.962324	+	0.271905i	$0.912346\pi$
$488$	4.00030	−	5.50595i	0.181085	−	0.249242i
$489$	6.70931	+	20.6491i	0.303406	+	0.933786i
$490$	−0.126862	−	2.72084i	−0.00573104	−	0.122915i
$491$	−5.39609	−	3.92049i	−0.243522	−	0.176929i	0.459329	−	0.888266i	$-0.348090\pi$
$491$	−5.39609	−	3.92049i	−0.243522	−	0.176929i	−0.702851	+	0.711337i	$0.748090\pi$
$492$	−10.9193	−	15.0291i	−0.492280	−	0.677565i
$493$	7.01351	+	2.27883i	0.315873	+	0.102633i
$494$	8.56518			0.385365
$495$		0			0
$496$	−10.9587			−0.492060
$497$	38.9906	+	12.6688i	1.74897	+	0.568274i
$498$	2.25411	+	3.10252i	0.101009	+	0.139027i
$499$	−4.97474	−	3.61436i	−0.222700	−	0.161801i	0.470841	−	0.882218i	$-0.343950\pi$
$499$	−4.97474	−	3.61436i	−0.222700	−	0.161801i	−0.693541	+	0.720417i	$0.743950\pi$
$500$	18.6805	+	9.92900i	0.835417	+	0.444038i
$501$	−1.13247	−	3.48540i	−0.0505952	−	0.155716i
$502$	−0.845017	+	1.16307i	−0.0377150	+	0.0519102i
$503$	−15.1108	−	20.7983i	−0.673759	−	0.927350i	0.326079	−	0.945342i	$-0.394272\pi$
$503$	−15.1108	−	20.7983i	−0.673759	−	0.927350i	−0.999838	+	0.0179929i	$0.994272\pi$
$504$	2.68120	−	8.25190i	0.119430	−	0.367569i
$505$	−7.78416	+	28.3948i	−0.346391	+	1.26355i
$506$		0			0
$507$		−	13.5795i		−	0.603085i
$508$	−9.74628	−	3.16676i	−0.432421	−	0.140502i
$509$	−13.6282	+	9.90144i	−0.604058	+	0.438873i	−0.847317	−	0.531088i	$-0.821783\pi$
$509$	−13.6282	+	9.90144i	−0.604058	+	0.438873i	0.243259	+	0.969961i	$0.421783\pi$
$510$	1.58918	+	1.98579i	0.0703702	+	0.0879321i
$511$	−8.61137	−	26.5031i	−0.380944	−	1.17243i
$512$	19.8942	−	6.46401i	0.879207	−	0.285672i
$513$	−14.3740	+	19.7842i	−0.634629	+	0.873492i
$514$	−1.73096	+	1.25762i	−0.0763494	+	0.0554711i
$515$	3.41844	−	5.19805i	0.150635	−	0.229054i
$516$	1.08638			0.0478253
$517$		0			0
$518$		−	6.70201i		−	0.294469i
$519$	−0.282307	+	0.868851i	−0.0123919	+	0.0381383i
$520$	5.25261	+	13.9230i	0.230342	+	0.610564i
$521$	20.3636	+	14.7950i	0.892144	+	0.648180i	0.936436	−	0.350838i	$-0.114103\pi$
$521$	20.3636	+	14.7950i	0.892144	+	0.648180i	−0.0442923	+	0.999019i	$0.514103\pi$
$522$	1.32673	−	0.431081i	0.0580695	−	0.0188679i
$523$	17.0329	−	5.53431i	0.744795	−	0.241998i	0.0880547	−	0.996116i	$-0.471935\pi$
$523$	17.0329	−	5.53431i	0.744795	−	0.241998i	0.656740	+	0.754117i	$0.271935\pi$
$524$	29.2754	+	21.2698i	1.27890	+	0.929175i
$525$	−15.6728	+	1.46471i	−0.684019	+	0.0639250i
$526$	0.434489	−	1.33722i	0.0189446	−	0.0583055i
$527$		−	11.7280i		−	0.510879i
$528$		0			0
$529$	−11.1491			−0.484744
$530$	0.241257	+	0.158660i	0.0104795	+	0.00689174i
$531$	−0.885241	+	0.643165i	−0.0384162	+	0.0279110i
$532$	−18.2331	+	25.0957i	−0.790505	+	1.08804i
$533$	50.5423	−	16.4222i	2.18923	−	0.711324i
$534$	−0.878492	−	2.70372i	−0.0380161	−	0.117001i
$535$	22.2850	+	27.8465i	0.963463	+	1.20391i
$536$	8.73725	−	6.34799i	0.377392	−	0.274191i
$537$	−3.32596	−	1.08067i	−0.143526	−	0.0466344i
$538$			3.48763i			0.150362i
$539$		0			0
$540$	−19.9199	−	5.46085i	−0.857215	−	0.234998i
$541$	−2.91857	+	8.98243i	−0.125479	+	0.386185i	−0.993988	−	0.109489i	$-0.965079\pi$
$541$	−2.91857	+	8.98243i	−0.125479	+	0.386185i	0.868509	+	0.495673i	$0.165079\pi$
$542$	2.05556	+	2.82923i	0.0882937	+	0.121526i
$543$	7.10699	−	9.78193i	0.304990	−	0.419783i
$544$	4.07358	+	12.5372i	0.174653	+	0.537527i
$545$	−8.73155	+	0.407116i	−0.374018	+	0.0174390i
$546$	−4.35485	−	3.16398i	−0.186370	−	0.135406i
$547$	8.99572	+	12.3815i	0.384629	+	0.529397i	0.956804	−	0.290735i	$-0.0938999\pi$
$547$	8.99572	+	12.3815i	0.384629	+	0.529397i	−0.572174	+	0.820132i	$0.693900\pi$
$548$	−28.8703	−	9.38054i	−1.23328	−	0.400717i
$549$	−11.0476			−0.471500
$550$		0			0
$551$	−10.2589			−0.437044
$552$	6.83286	+	2.22013i	0.290826	+	0.0944951i
$553$	5.44825	+	7.49888i	0.231683	+	0.318885i
$554$	1.95262	+	1.41866i	0.0829587	+	0.0602731i
$555$	−13.4018	+	0.624874i	−0.568877	+	0.0265244i
$556$	7.34953	+	22.6195i	0.311689	+	0.959281i
$557$	−5.84755	+	8.04846i	−0.247768	+	0.341024i	−0.914728	−	0.404070i	$-0.867595\pi$
$557$	−5.84755	+	8.04846i	−0.247768	+	0.341024i	0.666960	+	0.745094i	$0.267595\pi$
$558$	−1.30404	−	1.79485i	−0.0552042	−	0.0759821i
$559$	−0.960367	+	2.95571i	−0.0406192	+	0.125013i
$560$	−23.7461	−	6.50977i	−1.00346	−	0.275088i
$561$		0			0
$562$		−	9.26912i		−	0.390994i
$563$	26.6695	+	8.66544i	1.12398	+	0.365205i	0.811287	−	0.584648i	$-0.198767\pi$
$563$	26.6695	+	8.66544i	1.12398	+	0.365205i	0.312697	+	0.949853i	$0.398767\pi$
$564$	1.41668	−	1.02928i	0.0596530	−	0.0433404i
$565$	−13.8005	−	17.2446i	−0.580592	−	0.725488i
$566$	−1.02092	−	3.14208i	−0.0429126	−	0.132072i
$567$	−4.75405	+	1.54468i	−0.199651	+	0.0648706i
$568$	−9.41050	+	12.9524i	−0.394856	+	0.543472i
$569$	−16.4854	+	11.9773i	−0.691104	+	0.502116i	−0.877023	−	0.480449i	$-0.840474\pi$
$569$	−16.4854	+	11.9773i	−0.691104	+	0.502116i	0.185919	+	0.982565i	$0.440474\pi$
$570$	−2.95624	−	1.94414i	−0.123823	−	0.0814309i
$571$	43.6546			1.82689			0.913444	−	0.406964i	$-0.133412\pi$
$571$	43.6546			1.82689			0.913444	+	0.406964i	$0.133412\pi$
$572$		0			0
$573$		−	2.57485i		−	0.107566i
$574$	3.38882	−	10.4297i	0.141447	−	0.435328i
$575$	2.71878	+	29.0919i	0.113381	+	1.21321i
$576$	−9.27699	−	6.74013i	−0.386541	−	0.280839i
$577$	35.6308	−	11.5771i	1.48333	−	0.481963i	0.548223	−	0.836332i	$-0.315304\pi$
$577$	35.6308	−	11.5771i	1.48333	−	0.481963i	0.935106	+	0.354369i	$0.115304\pi$
$578$	1.25951	−	0.409238i	0.0523885	−	0.0170221i
$579$	−0.302151	−	0.219525i	−0.0125570	−	0.00912317i
$580$	−3.05851	−	8.10714i	−0.126998	−	0.336631i
$581$	12.2777	−	37.7869i	0.509365	−	1.56766i
$582$		−	3.56753i		−	0.147879i
$583$		0			0
$584$	10.8825			0.450322
$585$	13.2728	−	20.1826i	0.548764	−	0.834446i
$586$	−0.00650298	+	0.00472469i	−0.000268636	+	0.000195175i
$587$	−3.53798	+	4.86961i	−0.146028	+	0.200990i	−0.875765	−	0.482738i	$-0.839642\pi$
$587$	−3.53798	+	4.86961i	−0.146028	+	0.200990i	0.729737	+	0.683728i	$0.239642\pi$
$588$	6.42241	−	2.08677i	0.264856	−	0.0860568i
$589$	5.04170	+	15.5168i	0.207740	+	0.639357i
$590$	−0.241970	−	0.302357i	−0.00996175	−	0.0124479i
$591$	14.4305	−	10.4844i	0.593590	−	0.431269i
$592$	−19.9588	−	6.48500i	−0.820300	−	0.266532i
$593$		−	14.3574i		−	0.589589i	−0.955561	−	0.294794i	$-0.904749\pi$
$593$		−	14.3574i		−	0.589589i	0.955561	−	0.294794i	$-0.0952511\pi$
$594$		0			0
$595$	6.96674	−	25.4130i	0.285609	−	1.04183i
$596$	−8.14391	+	25.0644i	−0.333587	+	1.02668i
$597$	5.73881	+	7.89880i	0.234874	+	0.323276i
$598$	−5.87297	+	8.08345i	−0.240164	+	0.330557i
$599$	−8.63612	−	26.5793i	−0.352862	−	1.08600i	−0.957239	−	0.289300i	$-0.906578\pi$
$599$	−8.63612	−	26.5793i	−0.352862	−	1.08600i	0.604376	−	0.796699i	$-0.293422\pi$
$600$	1.34735	−	5.99772i	0.0550052	−	0.244856i
$601$	16.6365	+	12.0871i	0.678616	+	0.493043i	0.872898	−	0.487902i	$-0.162238\pi$
$601$	16.6365	+	12.0871i	0.678616	+	0.493043i	−0.194282	+	0.980946i	$0.562238\pi$
$602$	0.376956	+	0.518836i	0.0153636	+	0.0211462i
$603$	−16.6731	−	5.41743i	−0.678983	−	0.220615i
$604$	30.3383			1.23445
$605$		0			0
$606$	4.15912			0.168953
$607$	18.2354	+	5.92504i	0.740152	+	0.240490i	0.654738	−	0.755856i	$-0.272779\pi$
$607$	18.2354	+	5.92504i	0.740152	+	0.240490i	0.0854138	+	0.996346i	$0.472779\pi$
$608$	−10.7791	−	14.8362i	−0.437151	−	0.601687i
$609$	5.21600	+	3.78965i	0.211363	+	0.153564i
$610$	−0.182105	−	3.90566i	−0.00737321	−	0.158135i
$611$	1.54799	+	4.76423i	0.0626251	+	0.192740i
$612$	8.30851	−	11.4357i	0.335851	−	0.462260i
$613$	10.6117	+	14.6057i	0.428601	+	0.589919i	0.967631	−	0.252368i	$-0.0812092\pi$
$613$	10.6117	+	14.6057i	0.428601	+	0.589919i	−0.539030	+	0.842286i	$0.681209\pi$
$614$	−3.34532	+	10.2958i	−0.135006	+	0.415506i
$615$	−21.1720	−	5.80411i	−0.853738	−	0.234044i
$616$		0			0
$617$		−	32.0433i		−	1.29001i	−0.764176	−	0.645007i	$-0.776854\pi$
$617$		−	32.0433i		−	1.29001i	0.764176	−	0.645007i	$-0.223146\pi$
$618$	−0.835835	−	0.271579i	−0.0336222	−	0.0109245i
$619$	−4.29576	+	3.12105i	−0.172661	+	0.125446i	−0.670760	−	0.741675i	$-0.734032\pi$
$619$	−4.29576	+	3.12105i	−0.172661	+	0.125446i	0.498099	+	0.867120i	$0.334032\pi$
$620$	−10.7591	+	8.61027i	−0.432096	+	0.345797i
$621$	−8.81547	−	27.1312i	−0.353752	−	1.08874i
$622$	−1.50696	+	0.489641i	−0.0604236	+	0.0196328i
$623$	−17.3122	+	23.8282i	−0.693599	+	0.954657i
$624$	−13.6363	+	9.90734i	−0.545888	+	0.396611i
$625$	24.5671	−	4.63229i	0.982684	−	0.185292i
$626$	5.60369			0.223968
$627$		0			0
$628$		−	4.30450i		−	0.171768i
$629$	6.94023	−	21.3598i	0.276725	−	0.851672i
$630$	−1.75949	−	4.66384i	−0.0700996	−	0.185812i
$631$	−31.8692	−	23.1543i	−1.26869	−	0.921758i	−0.269541	−	0.962989i	$-0.586872\pi$
$631$	−31.8692	−	23.1543i	−1.26869	−	0.921758i	−0.999150	+	0.0412309i	$0.986872\pi$
$632$	−3.44259	+	1.11857i	−0.136939	+	0.0444941i
$633$	−7.75256	+	2.51896i	−0.308137	+	0.100120i
$634$	−0.455991	−	0.331297i	−0.0181097	−	0.0131575i
$635$	−11.3308	+	4.27465i	−0.449647	+	0.169634i
$636$	−0.221220	+	0.680844i	−0.00877193	+	0.0269972i
$637$			19.3181i			0.765410i
$638$		0			0
$639$	25.9889			1.02810
$640$	11.2256	−	17.0696i	0.443731	−	0.674734i
$641$	38.2382	−	27.7816i	1.51032	−	1.09731i	0.544280	−	0.838904i	$-0.316803\pi$
$641$	38.2382	−	27.7816i	1.51032	−	1.09731i	0.966037	−	0.258405i	$-0.0831970\pi$
$642$	2.96141	−	4.07603i	0.116877	−	0.160868i
$643$	2.26218	−	0.735027i	0.0892117	−	0.0289866i	−0.264071	−	0.964503i	$-0.585065\pi$
$643$	2.26218	−	0.735027i	0.0892117	−	0.0289866i	0.353283	+	0.935517i	$0.385065\pi$
$644$	−11.1822	−	34.4152i	−0.440640	−	1.35615i
$645$	1.00236	−	0.802165i	0.0394678	−	0.0315852i
$646$	4.79179	−	3.48144i	0.188530	−	0.136975i
$647$	−0.846705	−	0.275111i	−0.0332874	−	0.0108157i	0.292326	−	0.956319i	$-0.405571\pi$
$647$	−0.846705	−	0.275111i	−0.0332874	−	0.0108157i	−0.325613	+	0.945503i	$0.605571\pi$
$648$		−	1.95208i		−	0.0766849i
$649$		0			0
$650$	7.35392	+	4.35966i	0.288445	+	0.171000i
$651$	3.16852	−	9.75170i	0.124184	−	0.382199i
$652$	25.1017	+	34.5495i	0.983058	+	1.35306i
$653$	7.67244	−	10.5602i	0.300246	−	0.413253i	−0.632063	−	0.774917i	$-0.717791\pi$
$653$	7.67244	−	10.5602i	0.300246	−	0.413253i	0.932308	+	0.361665i	$0.117791\pi$
$654$	0.381569	+	1.17435i	0.0149205	+	0.0459207i
$655$	42.7164	−	1.99169i	1.66907	−	0.0778217i
$656$	−27.7809	−	20.1840i	−1.08466	−	0.788053i
$657$	−10.3835	−	14.2916i	−0.405098	−	0.557569i
$658$	0.983129	+	0.319438i	0.0383263	+	0.0124530i
$659$	−24.8805			−0.969205			−0.484603	−	0.874734i	$-0.661036\pi$
$659$	−24.8805			−0.969205			−0.484603	+	0.874734i	$0.661036\pi$
$660$		0			0
$661$	−33.1788			−1.29051			−0.645253	−	0.763969i	$-0.723248\pi$
$661$	−33.1788			−1.29051			−0.645253	+	0.763969i	$0.723248\pi$
$662$	−0.278612	−	0.0905265i	−0.0108286	−	0.00351841i
$663$	−10.6028	−	14.5935i	−0.411779	−	0.566765i
$664$	12.5526	+	9.11997i	0.487134	+	0.353924i
$665$	1.70734	+	36.6177i	0.0662076	+	1.41997i
$666$	−1.31287	−	4.04059i	−0.0508726	−	0.156570i
$667$	7.03432	−	9.68191i	0.272370	−	0.374885i
$668$	−4.23695	−	5.83166i	−0.163932	−	0.225634i
$669$	−7.04744	+	21.6898i	−0.272470	+	0.838576i
$670$	1.64039	−	5.98375i	0.0633738	−	0.231173i
$671$		0			0
$672$			11.5251i			0.444590i
$673$	−22.6539	−	7.36070i	−0.873243	−	0.283734i	−0.162094	−	0.986775i	$-0.551825\pi$
$673$	−22.6539	−	7.36070i	−0.873243	−	0.283734i	−0.711149	+	0.703041i	$0.751825\pi$
$674$	−4.99023	+	3.62562i	−0.192217	+	0.139654i
$675$	−22.4114	+	9.67000i	−0.862616	+	0.372199i
$676$	−8.25379	−	25.4025i	−0.317453	−	0.977021i
$677$	1.77882	−	0.577972i	0.0683654	−	0.0222133i	−0.274635	−	0.961549i	$-0.588557\pi$
$677$	1.77882	−	0.577972i	0.0683654	−	0.0222133i	0.343000	+	0.939335i	$0.388557\pi$
$678$	−1.83393	+	2.52418i	−0.0704315	+	0.0969407i
$679$	−29.9022	+	21.7252i	−1.14754	+	0.833737i
$680$	8.59778	+	5.65423i	0.329710	+	0.216830i
$681$	0.689352			0.0264160
$682$		0			0
$683$			9.51629i			0.364131i	0.983286	+	0.182065i	$0.0582782\pi$
$683$			9.51629i			0.364131i	−0.983286	+	0.182065i	$0.941722\pi$
$684$	−6.07656	+	18.7017i	−0.232343	+	0.715079i
$685$	−33.5638	+	12.6623i	−1.28241	+	0.483803i
$686$	−2.86027	−	2.07811i	−0.109206	−	0.0793425i
$687$	12.0303	−	3.90889i	0.458986	−	0.149134i
$688$	1.90986	−	0.620551i	0.0728127	−	0.0236583i
$689$	−1.65681	−	1.20374i	−0.0631193	−	0.0458588i
$690$	3.86183	−	1.45692i	0.147017	−	0.0554639i
$691$	−1.41121	+	4.34326i	−0.0536849	+	0.165225i	−0.974304	−	0.225236i	$-0.927685\pi$
$691$	−1.41121	+	4.34326i	−0.0536849	+	0.165225i	0.920619	+	0.390462i	$0.127685\pi$
$692$			1.79692i			0.0683085i
$693$		0			0
$694$	6.88217			0.261244
$695$	23.4830	+	15.4433i	0.890759	+	0.585798i
$696$	−2.03694	+	1.47992i	−0.0772100	+	0.0560963i
$697$	21.6009	−	29.7310i	0.818191	−	1.12614i
$698$	−8.48985	+	2.75852i	−0.321345	+	0.104411i
$699$	8.00639	+	24.6411i	0.302830	+	0.932014i
$700$	−28.4283	+	12.2662i	−1.07449	+	0.463617i
$701$	23.2637	−	16.9021i	0.878658	−	0.638382i	−0.0542383	−	0.998528i	$-0.517273\pi$
$701$	23.2637	−	16.9021i	0.878658	−	0.638382i	0.932896	+	0.360146i	$0.117273\pi$
$702$	−7.93833	−	2.57932i	−0.299613	−	0.0973501i
$703$			31.2437i			1.17838i
$704$		0			0
$705$	0.547109	−	1.99572i	0.0206053	−	0.0751633i
$706$	−0.879548	+	2.70697i	−0.0331022	+	0.101878i
$707$	−25.3278	−	34.8608i	−0.952552	−	1.31108i
$708$	0.564334	−	0.776739i	0.0212090	−	0.0291916i
$709$	11.2526	+	34.6318i	0.422599	+	1.30063i	0.905275	+	0.424827i	$0.139665\pi$
$709$	11.2526	+	34.6318i	0.422599	+	1.30063i	−0.482676	+	0.875799i	$0.660335\pi$
$710$	0.428392	+	9.18785i	0.0160773	+	0.344814i
$711$	4.75368	+	3.45375i	0.178277	+	0.129526i
$712$	−6.76071	−	9.30533i	−0.253368	−	0.348732i
$713$	−18.1011	−	5.88139i	−0.677890	−	0.220260i
$714$	−3.72237			−0.139306
$715$		0			0
$716$	−6.87859			−0.257065
$717$	−4.58320	−	1.48917i	−0.171163	−	0.0556141i
$718$	−1.33260	−	1.83416i	−0.0497320	−	0.0684503i
$719$	31.6519	+	22.9964i	1.18042	+	0.857623i	0.992219	−	0.124508i	$-0.0397354\pi$
$719$	31.6519	+	22.9964i	1.18042	+	0.857623i	0.188198	+	0.982131i	$0.439735\pi$
$720$	−15.5916	+	0.726971i	−0.581064	+	0.0270926i
$721$	2.81368	+	8.65962i	0.104787	+	0.322501i
$722$	−1.17618	+	1.61888i	−0.0437730	+	0.0602483i
$723$	2.65396	+	3.65286i	0.0987018	+	0.135851i
$724$	7.34917	−	22.6184i	0.273130	−	0.840606i
$725$	−8.80812	−	5.22176i	−0.327126	−	0.193931i
$726$		0			0
$727$			32.8912i			1.21987i	0.792453	+	0.609933i	$0.208804\pi$
$727$			32.8912i			1.21987i	−0.792453	+	0.609933i	$0.791196\pi$
$728$	−20.7129	−	6.73002i	−0.767670	−	0.249431i
$729$	8.83437	−	6.41855i	0.327199	−	0.237724i
$730$	4.88136	−	3.90644i	0.180667	−	0.144584i
$731$	0.664112	+	2.04393i	0.0245631	+	0.0755973i
$732$	9.21909	−	2.99547i	0.340748	−	0.110716i
$733$	7.00972	−	9.64805i	0.258910	−	0.356359i	−0.659697	−	0.751532i	$-0.729315\pi$
$733$	7.00972	−	9.64805i	0.258910	−	0.356359i	0.918607	+	0.395173i	$0.129315\pi$
$734$	−4.32730	+	3.14397i	−0.159724	+	0.116046i
$735$	4.38485	−	6.66756i	0.161737	−	0.245937i
$736$	21.3928			0.788549
$737$		0			0
$738$		−	6.95184i		−	0.255901i
$739$	−11.5087	+	35.4201i	−0.423355	+	1.30295i	0.481207	+	0.876607i	$0.340199\pi$
$739$	−11.5087	+	35.4201i	−0.423355	+	1.30295i	−0.904561	+	0.426344i	$0.859801\pi$
$740$	−24.6905	+	9.31476i	−0.907641	+	0.342417i
$741$	20.3016	+	14.7500i	0.745800	+	0.541855i
$742$	−0.401918	+	0.130591i	−0.0147549	+	0.00479415i
$743$	−12.6921	+	4.12391i	−0.465628	+	0.151292i	−0.532429	−	0.846475i	$-0.678721\pi$
$743$	−12.6921	+	4.12391i	−0.465628	+	0.151292i	0.0668013	+	0.997766i	$0.478721\pi$
$744$	3.23946	+	2.35360i	0.118764	+	0.0862872i
$745$	10.9931	+	29.1391i	0.402755	+	1.06758i
$746$	−0.375040	+	1.15425i	−0.0137312	+	0.0422603i
$747$		−	25.1865i		−	0.921527i
$748$		0			0
$749$	−52.1984			−1.90729
$750$	−1.54862	−	3.17392i	−0.0565475	−	0.115895i
$751$	−0.643974	+	0.467874i	−0.0234989	+	0.0170730i	−0.599473	−	0.800395i	$-0.704623\pi$
$751$	−0.643974	+	0.467874i	−0.0234989	+	0.0170730i	0.575974	+	0.817468i	$0.304623\pi$
$752$	1.90259	−	2.61869i	0.0693803	−	0.0954938i
$753$	−4.00581	+	1.30157i	−0.145980	+	0.0474317i
$754$	−1.08205	−	3.33019i	−0.0394058	−	0.121279i
$755$	27.9918	−	22.4013i	1.01873	−	0.815266i
$756$	24.4560	−	17.7683i	0.889457	−	0.646228i
$757$	38.6788	+	12.5675i	1.40581	+	0.456774i	0.911063	−	0.412266i	$-0.135263\pi$
$757$	38.6788	+	12.5675i	1.40581	+	0.456774i	0.494742	+	0.869040i	$0.335263\pi$
$758$		−	1.21548i		−	0.0441483i
$759$		0			0
$760$	−13.8060	−	3.78479i	−0.500796	−	0.137289i
$761$	1.78312	−	5.48788i	0.0646380	−	0.198935i	−0.913522	−	0.406790i	$-0.866648\pi$
$761$	1.78312	−	5.48788i	0.0646380	−	0.198935i	0.978160	+	0.207855i	$0.0666481\pi$
$762$	1.00554	+	1.38401i	0.0364270	+	0.0501374i
$763$	7.51947	−	10.3497i	0.272223	−	0.374683i
$764$	−1.56503	−	4.81667i	−0.0566208	−	0.174261i
$765$	−0.778003	−	16.6861i	−0.0281288	−	0.603286i
$766$	−8.33340	−	6.05457i	−0.301098	−	0.218760i
$767$	1.61439	+	2.22202i	0.0582923	+	0.0802325i
$768$	7.36956	+	2.39451i	0.265926	+	0.0864046i
$769$	−16.4209			−0.592152			−0.296076	−	0.955164i	$-0.595678\pi$
$769$	−16.4209			−0.592152			−0.296076	+	0.955164i	$0.595678\pi$
$770$		0			0
$771$	−6.26855			−0.225756
$772$	−0.698652	−	0.227006i	−0.0251451	−	0.00817012i
$773$	14.4501	+	19.8889i	0.519736	+	0.715355i	0.985523	−	0.169542i	$-0.0542288\pi$
$773$	14.4501	+	19.8889i	0.519736	+	0.715355i	−0.465787	+	0.884897i	$0.654229\pi$
$774$	0.328900	+	0.238960i	0.0118221	+	0.00858923i
$775$	−3.56928	+	15.8887i	−0.128212	+	0.570737i
$776$	−4.46034	−	13.7275i	−0.160117	−	0.492789i
$777$	11.5415	−	15.8855i	0.414048	−	0.569888i
$778$	2.66835	+	3.67267i	0.0956650	+	0.131672i
$779$	−15.7982	+	48.6217i	−0.566027	+	1.74205i
$780$	−5.60369	+	20.4409i	−0.200644	+	0.731902i
$781$		0			0
$782$			6.90944i			0.247081i
$783$	9.50809	+	3.08937i	0.339792	+	0.110405i
$784$	10.0986	−	7.33707i	0.360665	−	0.262038i
$785$	−3.17836	−	3.97157i	−0.113441	−	0.141752i
$786$	−1.86671	−	5.74513i	−0.0665832	−	0.204922i
$787$	−1.74515	+	0.567033i	−0.0622078	+	0.0202125i	−0.339956	−	0.940441i	$-0.610412\pi$
$787$	−1.74515	+	0.567033i	−0.0622078	+	0.0202125i	0.277748	+	0.960654i	$0.410412\pi$
$788$	20.6220	−	28.3837i	0.734627	−	1.01113i
$789$	3.33266	−	2.42132i	0.118646	−	0.0862013i
$790$	−1.14265	+	1.73750i	−0.0406536	+	0.0618175i
$791$	32.3252			1.14935
$792$		0			0
$793$			27.7303i			0.984732i
$794$	−0.987682	+	3.03977i	−0.0350515	+	0.107878i
$795$	0.298613	+	0.791530i	0.0105907	+	0.0280727i
$796$	15.5364	+	11.2878i	0.550672	+	0.400087i
$797$	−39.9498	+	12.9805i	−1.41509	+	0.459792i	−0.914040	−	0.405624i	$-0.867054\pi$
$797$	−39.9498	+	12.9805i	−1.41509	+	0.459792i	−0.501054	+	0.865416i	$0.667054\pi$
$798$	4.92490	−	1.60020i	0.174339	−	0.0566463i
$799$	2.80252	+	2.03615i	0.0991459	+	0.0720337i
$800$	−1.70319	−	18.2247i	−0.0602168	−	0.644340i
$801$	−5.76966	+	17.7572i	−0.203861	+	0.627419i
$802$			8.59517i			0.303506i
$803$		0			0
$804$	15.3824			0.542496
$805$	−35.7289	−	23.4967i	−1.25928	−	0.828151i
$806$	−4.50521	+	3.27323i	−0.158689	+	0.115294i
$807$	−6.00602	+	8.26657i	−0.211422	+	0.290997i
$808$	16.0039	−	5.19999i	0.563016	−	0.182935i
$809$	−8.36851	−	25.7556i	−0.294221	−	0.905520i	−0.983482	−	0.181006i	$-0.942065\pi$
$809$	−8.36851	−	25.7556i	−0.294221	−	0.905520i	0.689261	−	0.724513i	$-0.257935\pi$
$810$	−0.700727	−	0.875604i	−0.0246211	−	0.0307656i
$811$	0.832297	−	0.604699i	0.0292259	−	0.0212339i	−0.573076	−	0.819502i	$-0.694250\pi$
$811$	0.832297	−	0.604699i	0.0292259	−	0.0212339i	0.602302	+	0.798268i	$0.294250\pi$
$812$	12.0608	+	3.91878i	0.423250	+	0.137522i
$813$			10.2459i			0.359338i
$814$		0			0
$815$	48.6710	+	13.3427i	1.70487	+	0.467374i
$816$	−3.60184	+	11.0853i	−0.126090	+	0.388064i
$817$	−1.75731	−	2.41873i	−0.0614806	−	0.0846207i
$818$	−0.510603	+	0.702784i	−0.0178528	+	0.0245723i
$819$	10.9247	+	33.6228i	0.381740	+	1.17488i
$820$	−43.1335	+	2.01114i	−1.50629	+	0.0702320i
$821$	−9.30898	−	6.76337i	−0.324886	−	0.236043i	0.413372	−	0.910562i	$-0.364351\pi$
$821$	−9.30898	−	6.76337i	−0.324886	−	0.236043i	−0.738257	+	0.674519i	$0.764351\pi$
$822$	2.97861	+	4.09970i	0.103891	+	0.142994i
$823$	27.3562	+	8.88857i	0.953578	+	0.309836i	0.744168	−	0.667992i	$-0.232846\pi$
$823$	27.3562	+	8.88857i	0.953578	+	0.309836i	0.209409	+	0.977828i	$0.432846\pi$
$824$	−3.55576			−0.123871
$825$		0			0
$826$	0.566771			0.0197205
$827$	−51.4041	−	16.7022i	−1.78749	−	0.580792i	−0.788099	−	0.615548i	$-0.788935\pi$
$827$	−51.4041	−	16.7022i	−1.78749	−	0.580792i	−0.999396	+	0.0347562i	$0.988935\pi$
$828$	−13.4833	−	18.5582i	−0.468578	−	0.644943i
$829$	3.76100	+	2.73253i	0.130625	+	0.0949047i	0.651179	−	0.758924i	$-0.274275\pi$
$829$	3.76100	+	2.73253i	0.130625	+	0.0949047i	−0.520554	+	0.853829i	$0.674275\pi$
$830$	8.90420	−	0.415166i	0.309069	−	0.0144106i
$831$	2.18514	+	6.72517i	0.0758016	+	0.233293i
$832$	−16.9182	+	23.2859i	−0.586534	+	0.807295i
$833$	7.85211	+	10.8075i	0.272060	+	0.374458i
$834$	1.22690	−	3.77601i	0.0424840	−	0.130752i
$835$	−8.21525	−	2.25213i	−0.284300	−	0.0779383i
$836$		0			0
$837$		−	15.8994i		−	0.549564i
$838$	7.59209	+	2.46682i	0.262265	+	0.0852149i
$839$	4.00068	−	2.90666i	0.138119	−	0.100349i	−0.516581	−	0.856239i	$-0.672795\pi$
$839$	4.00068	−	2.90666i	0.138119	−	0.100349i	0.654699	+	0.755890i	$0.272795\pi$
$840$	5.62138	+	7.02428i	0.193956	+	0.242361i
$841$	−7.66548	−	23.5919i	−0.264327	−	0.813514i
$842$	−8.71017	+	2.83011i	−0.300172	+	0.0975319i
$843$	15.9623	−	21.9702i	0.549770	−	0.756693i
$844$	−12.9713	+	9.42423i	−0.446492	+	0.324396i
$845$	−26.3722	−	17.3434i	−0.907232	−	0.596631i
$846$	0.655297			0.0225296
$847$		0			0
$848$			1.32329i			0.0454418i
$849$	2.99110	−	9.20566i	0.102654	−	0.315937i
$850$	5.88620	−	0.550095i	0.201895	−	0.0188681i
$851$	−29.4865	−	21.4232i	−1.01078	−	0.734378i
$852$	−21.6874	+	7.04667i	−0.742999	+	0.241415i
$853$	−27.8807	+	9.05898i	−0.954616	+	0.310174i	−0.744590	−	0.667522i	$-0.767355\pi$
$853$	−27.8807	+	9.05898i	−0.954616	+	0.310174i	−0.210026	+	0.977696i	$0.567355\pi$
$854$	4.62945	+	3.36349i	0.158417	+	0.115096i
$855$	8.20245	+	21.7421i	0.280518	+	0.743565i
$856$	6.29913	−	19.3867i	0.215300	−	0.662624i
$857$			0.656701i			0.0224325i	0.999937	+	0.0112162i	$0.00357032\pi$
$857$			0.656701i			0.0224325i	−0.999937	+	0.0112162i	$0.996430\pi$
$858$		0			0
$859$	40.0569			1.36672			0.683361	−	0.730080i	$-0.260517\pi$
$859$	40.0569			1.36672			0.683361	+	0.730080i	$0.260517\pi$
$860$	1.38750	−	2.10983i	0.0473135	−	0.0719445i
$861$	25.9933	−	18.8852i	0.885848	−	0.643606i
$862$	3.86726	−	5.32283i	0.131719	−	0.181296i
$863$	−18.9551	+	6.15889i	−0.645239	+	0.209651i	−0.613314	−	0.789839i	$-0.710164\pi$
$863$	−18.9551	+	6.15889i	−0.645239	+	0.209651i	−0.0319255	+	0.999490i	$0.510164\pi$
$864$	5.52247	+	16.9964i	0.187878	+	0.578230i
$865$	1.32681	+	1.65794i	0.0451129	+	0.0563716i
$866$	−1.16476	+	0.846251i	−0.0395803	+	0.0287568i
$867$	3.69010	+	1.19898i	0.125322	+	0.0407197i
$868$		−	20.1680i		−	0.684546i
$869$		0			0
$870$	−0.382428	+	1.39501i	−0.0129655	+	0.0472952i
$871$	−13.5982	+	41.8508i	−0.460756	+	1.41806i
$872$	2.93649	+	4.04173i	0.0994419	+	0.136870i
$873$	−13.7720	+	18.9556i	−0.466113	+	0.641549i
$874$	−2.97028	−	9.14157i	−0.100471	−	0.309218i
$875$	−17.1725	+	32.3084i	−0.580535	+	1.09222i
$876$	12.5399	+	9.11080i	0.423685	+	0.307825i
$877$	−2.81556	−	3.87528i	−0.0950746	−	0.130859i	0.758830	−	0.651289i	$-0.225772\pi$
$877$	−2.81556	−	3.87528i	−0.0950746	−	0.130859i	−0.853904	+	0.520430i	$0.825772\pi$
$878$	10.7011	+	3.47699i	0.361143	+	0.117343i
$879$	−0.0235501			−0.000794325
$880$		0			0
$881$	33.9748			1.14464			0.572320	−	0.820031i	$-0.306044\pi$
$881$	33.9748			1.14464			0.572320	+	0.820031i	$0.306044\pi$
$882$	2.40338	+	0.780904i	0.0809259	+	0.0262944i
$883$	23.0849	+	31.7736i	0.776867	+	1.06927i	0.995621	+	0.0934859i	$0.0298010\pi$
$883$	23.0849	+	31.7736i	0.776867	+	1.06927i	−0.218753	+	0.975780i	$0.570199\pi$
$884$	−28.7044	−	20.8550i	−0.965433	−	0.701428i
$885$	−0.0528439	−	1.13336i	−0.00177633	−	0.0380974i
$886$	1.87643	+	5.77505i	0.0630398	+	0.194017i
$887$	−19.5450	+	26.9013i	−0.656256	+	0.903258i	−0.999350	−	0.0360425i	$-0.988525\pi$
$887$	−19.5450	+	26.9013i	−0.656256	+	0.903258i	0.343095	+	0.939301i	$0.388525\pi$
$888$	4.50714	+	6.20355i	0.151250	+	0.208178i
$889$	5.47699	−	16.8564i	0.183692	−	0.565347i
$890$	−6.37280	−	1.74704i	−0.213617	−	0.0585610i
$891$		0			0
$892$			44.8578i			1.50195i
$893$	−4.58320	−	1.48917i	−0.153371	−	0.0498332i
$894$	3.55924	−	2.58594i	0.119039	−	0.0864868i
$895$	−6.34658	+	5.07903i	−0.212143	+	0.169773i
$896$	9.23968	+	28.4368i	0.308676	+	0.950007i
$897$	−27.8409	+	9.04605i	−0.929580	+	0.302039i
$898$	3.62275	−	4.98629i	0.120893	−	0.166395i
$899$	5.39609	−	3.92049i	0.179970	−	0.130756i
$900$	−14.7364	+	12.9641i	−0.491213	+	0.432135i
$901$	−1.41618			−0.0471797
$902$		0			0
$903$			1.87893i			0.0625267i
$904$	−3.90089	+	12.0057i	−0.129742	+	0.399304i
$905$	−9.92028	−	26.2955i	−0.329761	−	0.874093i
$906$	−4.09730	−	2.97686i	−0.136124	−	0.0988997i
$907$	−17.4516	+	5.67038i	−0.579472	+	0.188282i	−0.584064	−	0.811708i	$-0.698538\pi$
$907$	−17.4516	+	5.67038i	−0.579472	+	0.188282i	0.00459214	+	0.999989i	$0.498538\pi$
$908$	1.28954	−	0.418998i	0.0427950	−	0.0139049i
$909$	−22.0989	−	16.0558i	−0.732975	−	0.532538i
$910$	−11.7066	+	4.41644i	−0.388070	+	0.146404i
$911$	11.9936	−	36.9125i	0.397365	−	1.22296i	−0.529739	−	0.848161i	$-0.677710\pi$
$911$	11.9936	−	36.9125i	0.397365	−	1.22296i	0.927104	−	0.374804i	$-0.122290\pi$
$912$		−	16.2149i		−	0.536928i
$913$		0			0
$914$	−4.76076			−0.157472
$915$	6.29426	−	9.57101i	0.208082	−	0.316408i
$916$	20.1288	−	14.6244i	0.665074	−	0.483205i
$917$	−36.7867	+	50.6325i	−1.21480	+	1.67203i
$918$	−5.48950	+	1.78365i	−0.181180	+	0.0588691i
$919$	−0.303354	−	0.933629i	−0.0100067	−	0.0307976i	0.945928	−	0.324375i	$-0.105154\pi$
$919$	−0.303354	−	0.933629i	−0.0100067	−	0.0307976i	−0.955935	+	0.293578i	$0.905154\pi$
$920$	13.0384	−	10.4344i	0.429864	−	0.344011i
$921$	−25.6596	+	18.6428i	−0.845512	+	0.614301i
$922$	−4.75133	−	1.54380i	−0.156477	−	0.0508424i
$923$		−	65.2340i		−	2.14720i
$924$		0			0
$925$	−15.9030	+	26.8254i	−0.522888	+	0.882012i
$926$	−0.921372	+	2.83569i	−0.0302782	+	0.0931866i
$927$	3.39270	+	4.66965i	0.111431	+	0.153371i
$928$	−4.40667	+	6.06526i	−0.144656	+	0.199102i
$929$	−10.8187	−	33.2965i	−0.354950	−	1.09242i	−0.956039	−	0.293241i	$-0.905266\pi$
$929$	−10.8187	−	33.2965i	−0.354950	−	1.09242i	0.601089	−	0.799182i	$-0.294734\pi$
$930$	2.29792	−	0.107142i	0.0753516	−	0.00351334i
$931$	−15.0348	−	10.9234i	−0.492745	−	0.358000i
$932$	29.9545	+	41.2288i	0.981192	+	1.35049i
$933$	−4.41508	−	1.43455i	−0.144543	−	0.0469650i
$934$	5.67522			0.185699
$935$		0			0
$936$	−13.8060			−0.451263
$937$	−29.3453	−	9.53487i	−0.958670	−	0.311491i	−0.212436	−	0.977175i	$-0.568140\pi$
$937$	−29.3453	−	9.53487i	−0.958670	−	0.311491i	−0.746234	+	0.665684i	$0.768140\pi$
$938$	5.33745	+	7.34636i	0.174274	+	0.239867i
$939$	13.2822	+	9.65006i	0.433447	+	0.314918i
$940$	−0.189574	−	4.06586i	−0.00618324	−	0.132614i
$941$	9.29418	+	28.6046i	0.302982	+	0.932482i	0.980423	+	0.196905i	$0.0630890\pi$
$941$	9.29418	+	28.6046i	0.302982	+	0.932482i	−0.677441	+	0.735577i	$0.736911\pi$
$942$	−0.422367	+	0.581339i	−0.0137615	+	0.0189410i
$943$	−35.0546	−	48.2486i	−1.14154	−	1.57119i
$944$	0.548419	−	1.68786i	0.0178495	−	0.0549352i
$945$	9.44468	−	34.4520i	0.307236	−	1.12072i
$946$		0			0
$947$		−	10.1860i		−	0.331002i	−0.986210	−	0.165501i	$-0.947076\pi$
$947$		−	10.1860i		−	0.331002i	0.986210	−	0.165501i	$-0.0529241\pi$
$948$	−4.90335	−	1.59320i	−0.159253	−	0.0517446i
$949$	−35.8730	+	26.0633i	−1.16449	+	0.846050i
$950$	−7.55128	+	3.25820i	−0.244996	+	0.105710i
$951$	−0.510291	−	1.57051i	−0.0165473	−	0.0509274i
$952$	−14.3233	+	4.65393i	−0.464222	+	0.150835i
$953$	23.5980	−	32.4798i	0.764413	−	1.05212i	−0.232421	−	0.972615i	$-0.574665\pi$
$953$	23.5980	−	32.4798i	0.764413	−	1.05212i	0.996834	−	0.0795087i	$-0.0253351\pi$
$954$	−0.216732	+	0.157465i	−0.00701695	+	0.00509811i
$955$	−5.00053	−	3.28854i	−0.161813	−	0.106415i
$956$	−9.47874			−0.306564
$957$		0			0
$958$			10.7143i			0.346162i
$959$	16.2239	−	49.9320i	0.523897	−	1.61239i
$960$	11.1247	−	4.19693i	0.359049	−	0.135455i
$961$	16.4978	+	11.9864i	0.532188	+	0.386657i
$962$	−10.1422	+	3.29540i	−0.326997	+	0.106248i
$963$	−31.4701	+	10.2253i	−1.01411	+	0.329504i
$964$	7.18492	+	5.22015i	0.231411	+	0.168130i
$965$	−0.812234	+	0.306424i	−0.0261467	+	0.00986414i
$966$	−1.86671	+	5.74513i	−0.0600603	+	0.184847i
$967$			58.0856i			1.86791i	0.357395	+	0.933953i	$0.383665\pi$
$967$			58.0856i			1.86791i	−0.357395	+	0.933953i	$0.616335\pi$
$968$		0			0
$969$	17.3531			0.557462
$970$	−6.92838	−	4.55637i	−0.222457	−	0.146296i
$971$	−26.5455	+	19.2865i	−0.851886	+	0.618932i	−0.925666	−	0.378343i	$-0.876494\pi$
$971$	−26.5455	+	19.2865i	−0.851886	+	0.618932i	0.0737791	+	0.997275i	$0.476494\pi$
$972$	17.9226	−	24.6684i	0.574868	−	0.791238i
$973$	−39.1211	+	12.7112i	−1.25416	+	0.407502i
$974$	1.54799	+	4.76423i	0.0496009	+	0.152656i
$975$	9.92294	+	22.9976i	0.317788	+	0.736513i
$976$	14.4961	−	10.5321i	0.464010	−	0.337123i
$977$	17.0472	+	5.53896i	0.545387	+	0.177207i	0.568736	−	0.822520i	$-0.307433\pi$
$977$	17.0472	+	5.53896i	0.545387	+	0.177207i	−0.0233485	+	0.999727i	$0.507433\pi$
$978$		−	7.12908i		−	0.227963i
$979$		0			0
$980$	4.14992	−	15.1379i	0.132564	−	0.483563i
$981$	2.50602	−	7.71275i	0.0800112	−	0.246249i
$982$	1.28730	+	1.77181i	0.0410792	+	0.0565407i
$983$	−10.0374	+	13.8152i	−0.320142	+	0.440638i	−0.938511	−	0.345251i	$-0.887794\pi$
$983$	−10.0374	+	13.8152i	−0.320142	+	0.440638i	0.618369	+	0.785888i	$0.287794\pi$
$984$	3.87727	+	11.9330i	0.123603	+	0.380410i
$985$	−1.93103	−	41.4153i	−0.0615277	−	1.31960i
$986$	−1.95896	−	1.42327i	−0.0623859	−	0.0453260i
$987$	1.78016	+	2.45019i	0.0566633	+	0.0779903i
$988$	46.9428	+	15.2526i	1.49345	+	0.485251i
$989$	3.48765			0.110901
$990$		0			0
$991$	17.5551			0.557658			0.278829	−	0.960341i	$-0.410054\pi$
$991$	17.5551			0.557658			0.278829	+	0.960341i	$0.410054\pi$
$992$	11.3395	+	3.68441i	0.360028	+	0.116980i
$993$	−0.504486	−	0.694366i	−0.0160094	−	0.0220350i
$994$	−10.8905	−	7.91243i	−0.345427	−	0.250967i
$995$	22.6695	−	1.05699i	0.718671	−	0.0335087i
$996$	6.82912	+	21.0179i	0.216389	+	0.665977i
$997$	−8.93709	+	12.3009i	−0.283041	+	0.389572i	−0.926738	−	0.375708i	$-0.877400\pi$
$997$	−8.93709	+	12.3009i	−0.283041	+	0.389572i	0.643697	+	0.765280i	$0.277400\pi$
$998$	1.18678	+	1.63346i	0.0375667	+	0.0517062i
$999$	9.40874	−	28.9571i	0.297679	−	0.916163i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.j.k.9.5		48
5.4	even	2	inner	605.2.j.k.9.8		48
11.2	odd	10	inner	605.2.j.k.124.5		48
11.3	even	5	inner	605.2.j.k.444.6		48
11.4	even	5		605.2.b.h.364.6	yes	12
11.5	even	5	inner	605.2.j.k.269.8		48
11.6	odd	10	inner	605.2.j.k.269.6		48
11.7	odd	10		605.2.b.h.364.8	yes	12
11.8	odd	10	inner	605.2.j.k.444.8		48
11.9	even	5	inner	605.2.j.k.124.7		48
11.10	odd	2	inner	605.2.j.k.9.7		48
55.4	even	10		605.2.b.h.364.7	yes	12
55.7	even	20		3025.2.a.bo.1.6		12
55.9	even	10	inner	605.2.j.k.124.6		48
55.14	even	10	inner	605.2.j.k.444.7		48
55.18	even	20		3025.2.a.bo.1.7		12
55.19	odd	10	inner	605.2.j.k.444.5		48
55.24	odd	10	inner	605.2.j.k.124.8		48
55.29	odd	10		605.2.b.h.364.5	✓	12
55.37	odd	20		3025.2.a.bo.1.8		12
55.39	odd	10	inner	605.2.j.k.269.7		48
55.48	odd	20		3025.2.a.bo.1.5		12
55.49	even	10	inner	605.2.j.k.269.5		48
55.54	odd	2	inner	605.2.j.k.9.6		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.b.h.364.5	✓	12	55.29	odd	10
605.2.b.h.364.6	yes	12	11.4	even	5
605.2.b.h.364.7	yes	12	55.4	even	10
605.2.b.h.364.8	yes	12	11.7	odd	10
605.2.j.k.9.5		48	1.1	even	1	trivial
605.2.j.k.9.6		48	55.54	odd	2	inner
605.2.j.k.9.7		48	11.10	odd	2	inner
605.2.j.k.9.8		48	5.4	even	2	inner
605.2.j.k.124.5		48	11.2	odd	10	inner
605.2.j.k.124.6		48	55.9	even	10	inner
605.2.j.k.124.7		48	11.9	even	5	inner
605.2.j.k.124.8		48	55.24	odd	10	inner
605.2.j.k.269.5		48	55.49	even	10	inner
605.2.j.k.269.6		48	11.6	odd	10	inner
605.2.j.k.269.7		48	55.39	odd	10	inner
605.2.j.k.269.8		48	11.5	even	5	inner
605.2.j.k.444.5		48	55.19	odd	10	inner
605.2.j.k.444.6		48	11.3	even	5	inner
605.2.j.k.444.7		48	55.14	even	10	inner
605.2.j.k.444.8		48	11.8	odd	10	inner
3025.2.a.bo.1.5		12	55.48	odd	20
3025.2.a.bo.1.6		12	55.7	even	20
3025.2.a.bo.1.7		12	55.18	even	20
3025.2.a.bo.1.8		12	55.37	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.j (of order \(10\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.312280 - 0.101466i) q^{2} +(-0.565450 - 0.778275i) q^{3} +(-1.53081 - 1.11220i) q^{4} +(-2.23364 + 0.104146i) q^{5} +(0.0976102 + 0.300413i) q^{6} +(1.92358 - 2.64758i) q^{7} +(0.751190 + 1.03393i) q^{8} +(0.641073 - 1.97302i) q^{9} +O(q^{10})\)	\(q+(-0.312280 - 0.101466i) q^{2} +(-0.565450 - 0.778275i) q^{3} +(-1.53081 - 1.11220i) q^{4} +(-2.23364 + 0.104146i) q^{5} +(0.0976102 + 0.300413i) q^{6} +(1.92358 - 2.64758i) q^{7} +(0.751190 + 1.03393i) q^{8} +(0.641073 - 1.97302i) q^{9} +(0.708089 + 0.194116i) q^{10} +1.82028i q^{12} +(-4.95243 - 1.60914i) q^{13} +(-0.869334 + 0.631608i) q^{14} +(1.34407 + 1.67950i) q^{15} +(1.03976 + 3.20006i) q^{16} +(-3.42469 + 1.11275i) q^{17} +(-0.400388 + 0.551087i) q^{18} +(4.05270 - 2.94446i) q^{19} +(3.53511 + 2.32483i) q^{20} -3.14823 q^{21} +5.84372i q^{23} +(0.379917 - 1.16926i) q^{24} +(4.97831 - 0.465248i) q^{25} +(1.38327 + 1.00500i) q^{26} +(-4.64280 + 1.50854i) q^{27} +(-5.88927 + 1.91354i) q^{28} +(-1.65681 - 1.20374i) q^{29} +(-0.249313 - 0.660850i) q^{30} +(-1.00645 + 3.09752i) q^{31} -3.66082i q^{32} +1.18237 q^{34} +(-4.02085 + 6.11407i) q^{35} +(-3.17575 + 2.30732i) q^{36} +(-3.66602 + 5.04584i) q^{37} +(-1.56434 + 0.508285i) q^{38} +(1.54799 + 4.76423i) q^{39} +(-1.78557 - 2.23118i) q^{40} +(-8.25648 + 5.99868i) q^{41} +(0.983129 + 0.319438i) q^{42} -0.596820i q^{43} +(-1.22645 + 4.47378i) q^{45} +(0.592939 - 1.82488i) q^{46} +(-0.565450 - 0.778275i) q^{47} +(1.90259 - 2.61869i) q^{48} +(-1.14640 - 3.52824i) q^{49} +(-1.60183 - 0.359841i) q^{50} +(2.80252 + 2.03615i) q^{51} +(5.79154 + 7.97137i) q^{52} +(0.374032 + 0.121530i) q^{53} +1.60292 q^{54} +4.18237 q^{56} +(-4.58320 - 1.48917i) q^{57} +(0.395249 + 0.544013i) q^{58} +(-0.426713 - 0.310025i) q^{59} +(-0.189574 - 4.06586i) q^{60} +(-1.64560 - 5.06465i) q^{61} +(0.628585 - 0.865174i) q^{62} +(-3.99057 - 5.49255i) q^{63} +(1.70807 - 5.25691i) q^{64} +(11.2295 + 3.07847i) q^{65} -8.45057i q^{67} +(6.48016 + 2.10553i) q^{68} +(4.54802 - 3.30433i) q^{69} +(1.87600 - 1.50132i) q^{70} +(3.87119 + 11.9143i) q^{71} +(2.52152 - 0.819292i) q^{72} +(5.00515 - 6.88900i) q^{73} +(1.65681 - 1.20374i) q^{74} +(-3.17707 - 3.61142i) q^{75} -9.47874 q^{76} -1.64484i q^{78} +(-0.875246 + 2.69373i) q^{79} +(-2.65573 - 7.03949i) q^{80} +(-1.23573 - 0.897811i) q^{81} +(3.18699 - 1.03552i) q^{82} +(11.5465 - 3.75168i) q^{83} +(4.81934 + 3.50146i) q^{84} +(7.53365 - 2.84215i) q^{85} +(-0.0605569 + 0.186375i) q^{86} +1.97010i q^{87} -9.00000 q^{89} +(0.836931 - 1.27263i) q^{90} +(-13.7867 + 10.0166i) q^{91} +(6.49938 - 8.94563i) q^{92} +(2.97981 - 0.968201i) q^{93} +(0.0976102 + 0.300413i) q^{94} +(-8.74563 + 6.99894i) q^{95} +(-2.84912 + 2.07001i) q^{96} +(-10.7414 - 3.49009i) q^{97} +1.21812i q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 20 q^{4} + 6 q^{5} + 20 q^{9}+O(q^{10}) \) 48 * q + 20 * q^4 + 6 * q^5 + 20 * q^9	\( 48 q + 20 q^{4} + 6 q^{5} + 20 q^{9} + 32 q^{14} - 20 q^{15} - 36 q^{16} - 26 q^{20} + 10 q^{25} - 20 q^{26} - 8 q^{31} + 48 q^{34} - 92 q^{36} - 72 q^{45} + 4 q^{49} + 192 q^{56} + 32 q^{59} + 92 q^{60} - 28 q^{64} + 16 q^{69} + 12 q^{70} - 112 q^{71} - 36 q^{75} + 106 q^{80} + 20 q^{81} + 56 q^{86} - 432 q^{89} - 72 q^{91}+O(q^{100}) \) 48 * q + 20 * q^4 + 6 * q^5 + 20 * q^9 + 32 * q^14 - 20 * q^15 - 36 * q^16 - 26 * q^20 + 10 * q^25 - 20 * q^26 - 8 * q^31 + 48 * q^34 - 92 * q^36 - 72 * q^45 + 4 * q^49 + 192 * q^56 + 32 * q^59 + 92 * q^60 - 28 * q^64 + 16 * q^69 + 12 * q^70 - 112 * q^71 - 36 * q^75 + 106 * q^80 + 20 * q^81 + 56 * q^86 - 432 * q^89 - 72 * q^91

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