LMFDB - Embedded newform 806.2.bw.a.51.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [806,2,Mod(51,806)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(806, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 8]))

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

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

chi := DirichletCharacter("806.51");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 806 = 2 \cdot 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	806.bw (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$6.43594240292$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$36$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			51.19
Character	$\chi$	$=$	806.51
Dual form			806.2.bw.a.727.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.951057 - 0.309017i) q^{2} +(-2.26905 - 2.52003i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-1.55290 + 0.896568i) q^{5} +(-2.93672 - 1.69552i) q^{6} +(0.369908 - 0.0388789i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.888400 + 8.45256i) q^{9} +O(q^{10})$	\(q+(0.951057 - 0.309017i) q^{2} +(-2.26905 - 2.52003i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-1.55290 + 0.896568i) q^{5} +(-2.93672 - 1.69552i) q^{6} +(0.369908 - 0.0388789i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.888400 + 8.45256i) q^{9} +(-1.19984 + 1.33256i) q^{10} +(-1.43760 + 3.22890i) q^{11} +(-3.31693 - 0.705036i) q^{12} +(1.12660 + 3.42502i) q^{13} +(0.339789 - 0.151284i) q^{14} +(5.78298 + 1.87901i) q^{15} +(0.309017 - 0.951057i) q^{16} +(5.65418 - 2.51740i) q^{17} +(1.76707 + 8.31340i) q^{18} +(-0.693201 + 3.26126i) q^{19} +(-0.729334 + 1.63811i) q^{20} +(-0.937315 - 0.843962i) q^{21} +(-0.369453 + 3.51511i) q^{22} +(-5.78526 - 4.20324i) q^{23} +(-3.37246 + 0.354460i) q^{24} +(-0.892331 + 1.54556i) q^{25} +(2.12985 + 2.90925i) q^{26} +(15.0863 - 10.9609i) q^{27} +(0.276410 - 0.248880i) q^{28} +(0.354084 + 1.08976i) q^{29} +6.08059 q^{30} +(-5.51676 + 0.751918i) q^{31} -1.00000i q^{32} +(11.3989 - 3.70373i) q^{33} +(4.59952 - 4.14143i) q^{34} +(-0.539573 + 0.392023i) q^{35} +(4.24956 + 7.36046i) q^{36} +(9.25646 + 5.34422i) q^{37} +(0.348510 + 3.31585i) q^{38} +(6.07487 - 10.6106i) q^{39} +(-0.187434 + 1.78331i) q^{40} +(-1.54647 - 1.39245i) q^{41} +(-1.15224 - 0.513009i) q^{42} +(4.84975 + 1.03085i) q^{43} +(0.734858 + 3.45723i) q^{44} +(-6.19870 - 13.9225i) q^{45} +(-6.80098 - 2.20977i) q^{46} +(-0.221682 - 0.0720289i) q^{47} +(-3.09787 + 1.37926i) q^{48} +(-6.71171 + 1.42662i) q^{49} +(-0.371052 + 1.74566i) q^{50} +(-19.1735 - 8.53660i) q^{51} +(2.92461 + 2.10871i) q^{52} +(-1.29028 + 12.2762i) q^{53} +(10.9609 - 15.0863i) q^{54} +(-0.662479 - 6.30307i) q^{55} +(0.185973 - 0.322114i) q^{56} +(9.79137 - 5.65305i) q^{57} +(0.673508 + 0.927005i) q^{58} +(5.75532 - 5.18212i) q^{59} +(5.78298 - 1.87901i) q^{60} +4.34708 q^{61} +(-5.01439 + 2.41989i) q^{62} +3.16121i q^{63} +(-0.309017 - 0.951057i) q^{64} +(-4.82026 - 4.30865i) q^{65} +(9.69649 - 7.04491i) q^{66} +(-8.94065 + 5.16189i) q^{67} +(3.09463 - 5.36006i) q^{68} +(2.53473 + 24.1164i) q^{69} +(-0.392023 + 0.539573i) q^{70} +(11.3509 + 1.19302i) q^{71} +(6.31608 + 5.68702i) q^{72} +(-2.95061 + 6.62718i) q^{73} +(10.4549 + 2.22225i) q^{74} +(5.91961 - 1.25825i) q^{75} +(1.35611 + 3.04587i) q^{76} +(-0.406243 + 1.25029i) q^{77} +(2.49869 - 11.9685i) q^{78} +(-8.05654 + 3.58700i) q^{79} +(0.372814 + 1.75395i) q^{80} +(-36.9131 - 7.84612i) q^{81} +(-1.90107 - 0.846412i) q^{82} +(10.1415 + 9.13144i) q^{83} +(-1.25437 - 0.131840i) q^{84} +(-6.52336 + 8.97863i) q^{85} +(4.93093 - 0.518262i) q^{86} +(1.94279 - 3.36502i) q^{87} +(1.76724 + 3.06094i) q^{88} +(0.397078 + 0.546531i) q^{89} +(-10.1976 - 11.3256i) q^{90} +(0.549898 + 1.22314i) q^{91} -7.15098 q^{92} +(14.4126 + 12.1963i) q^{93} -0.233091 q^{94} +(-1.84746 - 5.68591i) q^{95} +(-2.52003 + 2.26905i) q^{96} +(3.41907 + 4.70594i) q^{97} +(-5.94237 + 3.43083i) q^{98} +(-26.0153 - 15.0200i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 288 q + 72 q^{4} + 32 q^{9}+O(q^{10}) $ 288 * q + 72 * q^4 + 32 * q^9	$ 288 q + 72 q^{4} + 32 q^{9} - 10 q^{13} - 12 q^{14} - 72 q^{16} + 10 q^{17} - 6 q^{22} - 48 q^{23} + 104 q^{25} + 12 q^{26} - 18 q^{27} + 36 q^{29} + 64 q^{30} - 28 q^{35} + 128 q^{36} - 70 q^{38} + 12 q^{39} - 6 q^{42} - 56 q^{43} - 58 q^{49} - 26 q^{51} + 10 q^{52} - 6 q^{53} + 72 q^{55} + 2 q^{56} - 140 q^{61} + 16 q^{62} + 72 q^{64} - 4 q^{65} + 40 q^{68} + 96 q^{69} - 28 q^{74} - 166 q^{75} - 68 q^{77} + 60 q^{78} - 80 q^{79} - 76 q^{81} + 24 q^{87} - 14 q^{88} + 114 q^{90} - 12 q^{91} + 8 q^{92} - 24 q^{94} + 100 q^{95}+O(q^{100}) $ 288 * q + 72 * q^4 + 32 * q^9 - 10 * q^13 - 12 * q^14 - 72 * q^16 + 10 * q^17 - 6 * q^22 - 48 * q^23 + 104 * q^25 + 12 * q^26 - 18 * q^27 + 36 * q^29 + 64 * q^30 - 28 * q^35 + 128 * q^36 - 70 * q^38 + 12 * q^39 - 6 * q^42 - 56 * q^43 - 58 * q^49 - 26 * q^51 + 10 * q^52 - 6 * q^53 + 72 * q^55 + 2 * q^56 - 140 * q^61 + 16 * q^62 + 72 * q^64 - 4 * q^65 + 40 * q^68 + 96 * q^69 - 28 * q^74 - 166 * q^75 - 68 * q^77 + 60 * q^78 - 80 * q^79 - 76 * q^81 + 24 * q^87 - 14 * q^88 + 114 * q^90 - 12 * q^91 + 8 * q^92 - 24 * q^94 + 100 * q^95

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/806\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$-1$	$e\left(\frac{4}{15}\right)$

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 $

$2$	0.951057	−	0.309017i	0.672499	−	0.218508i
$2$	0.951057	−	0.309017i	0.672499	−	0.218508i
$3$	−2.26905	−	2.52003i	−1.31003	−	1.45494i	−0.806844	−	0.590765i	$-0.798826\pi$
$3$	−2.26905	−	2.52003i	−1.31003	−	1.45494i	−0.503190	−	0.864176i	$-0.667841\pi$
$4$	0.809017	−	0.587785i	0.404508	−	0.293893i
$5$	−1.55290	+	0.896568i	−0.694479	+	0.400957i	−0.805288	−	0.592884i	$-0.797989\pi$
$5$	−1.55290	+	0.896568i	−0.694479	+	0.400957i	0.110809	+	0.993842i	$0.464656\pi$
$6$	−2.93672	−	1.69552i	−1.19891	−	0.692192i
$7$	0.369908	−	0.0388789i	0.139812	−	0.0146948i	−0.0343638	−	0.999409i	$-0.510941\pi$
$7$	0.369908	−	0.0388789i	0.139812	−	0.0146948i	0.174176	+	0.984715i	$0.444274\pi$
$8$	0.587785	−	0.809017i	0.207813	−	0.286031i
$9$	−0.888400	+	8.45256i	−0.296133	+	2.81752i
$10$	−1.19984	+	1.33256i	−0.379423	+	0.421392i
$11$	−1.43760	+	3.22890i	−0.433452	+	0.973550i	0.556330	+	0.830962i	$0.312209\pi$
$11$	−1.43760	+	3.22890i	−0.433452	+	0.973550i	−0.989782	+	0.142588i	$0.954458\pi$
$12$	−3.31693	−	0.705036i	−0.957516	−	0.203526i
$13$	1.12660	+	3.42502i	0.312461	+	0.949930i
$13$	1.12660	+	3.42502i	0.312461	+	0.949930i
$14$	0.339789	−	0.151284i	0.0908125	−	0.0404323i
$15$	5.78298	+	1.87901i	1.49316	+	0.485157i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	5.65418	−	2.51740i	1.37134	−	0.610560i	0.416897	−	0.908954i	$-0.363118\pi$
$17$	5.65418	−	2.51740i	1.37134	−	0.610560i	0.954443	+	0.298394i	$0.0964510\pi$
$18$	1.76707	+	8.31340i	0.416502	+	1.95949i
$19$	−0.693201	+	3.26126i	−0.159031	+	0.748184i	0.824270	+	0.566197i	$0.191586\pi$
$19$	−0.693201	+	3.26126i	−0.159031	+	0.748184i	−0.983301	+	0.181986i	$0.941747\pi$
$20$	−0.729334	+	1.63811i	−0.163084	+	0.366293i
$21$	−0.937315	−	0.843962i	−0.204539	−	0.184168i
$22$	−0.369453	+	3.51511i	−0.0787676	+	0.749424i
$23$	−5.78526	−	4.20324i	−1.20631	−	0.876436i	−0.211420	−	0.977395i	$-0.567809\pi$
$23$	−5.78526	−	4.20324i	−1.20631	−	0.876436i	−0.994891	+	0.100959i	$0.967809\pi$
$24$	−3.37246	+	0.354460i	−0.688400	+	0.0723538i
$25$	−0.892331	+	1.54556i	−0.178466	+	0.309113i
$26$	2.12985	+	2.90925i	0.417697	+	0.570552i
$27$	15.0863	−	10.9609i	2.90337	−	2.10942i
$28$	0.276410	−	0.248880i	0.0522365	−	0.0470339i
$29$	0.354084	+	1.08976i	0.0657518	+	0.202363i	0.978535	−	0.206082i	$-0.0660712\pi$
$29$	0.354084	+	1.08976i	0.0657518	+	0.202363i	−0.912783	+	0.408445i	$0.866071\pi$
$30$	6.08059			1.11016
$31$	−5.51676	+	0.751918i	−0.990839	+	0.135049i
$31$	−5.51676	+	0.751918i	−0.990839	+	0.135049i
$32$		−	1.00000i		−	0.176777i
$33$	11.3989	−	3.70373i	1.98429	−	0.644736i
$34$	4.59952	−	4.14143i	0.788812	−	0.710249i
$35$	−0.539573	+	0.392023i	−0.0912045	+	0.0662640i
$36$	4.24956	+	7.36046i	0.708260	+	1.22674i
$37$	9.25646	+	5.34422i	1.52175	+	0.878584i	0.999670	+	0.0256895i	$0.00817811\pi$
$37$	9.25646	+	5.34422i	1.52175	+	0.878584i	0.522083	+	0.852895i	$0.325155\pi$
$38$	0.348510	+	3.31585i	0.0565358	+	0.537902i
$39$	6.07487	−	10.6106i	0.972757	−	1.69905i
$40$	−0.187434	+	1.78331i	−0.0296359	+	0.281967i
$41$	−1.54647	−	1.39245i	−0.241518	−	0.217464i	0.539478	−	0.842000i	$-0.318622\pi$
$41$	−1.54647	−	1.39245i	−0.241518	−	0.217464i	−0.780996	+	0.624536i	$0.785288\pi$
$42$	−1.15224	−	0.513009i	−0.177794	−	0.0791591i
$43$	4.84975	+	1.03085i	0.739579	+	0.157202i	0.562271	−	0.826953i	$-0.309928\pi$
$43$	4.84975	+	1.03085i	0.739579	+	0.157202i	0.177308	+	0.984155i	$0.443261\pi$
$44$	0.734858	+	3.45723i	0.110784	+	0.521198i
$45$	−6.19870	−	13.9225i	−0.924048	−	2.07545i
$46$	−6.80098	−	2.20977i	−1.00275	−	0.325813i
$47$	−0.221682	−	0.0720289i	−0.0323357	−	0.0105065i	0.292804	−	0.956172i	$-0.405411\pi$
$47$	−0.221682	−	0.0720289i	−0.0323357	−	0.0105065i	−0.325140	+	0.945666i	$0.605411\pi$
$48$	−3.09787	+	1.37926i	−0.447138	+	0.199079i
$49$	−6.71171	+	1.42662i	−0.958816	+	0.203803i
$50$	−0.371052	+	1.74566i	−0.0524747	+	0.246874i
$51$	−19.1735	−	8.53660i	−2.68483	−	1.19536i
$52$	2.92461	+	2.10871i	0.405571	+	0.292425i
$53$	−1.29028	+	12.2762i	−0.177234	+	1.68627i	0.438829	+	0.898571i	$0.355393\pi$
$53$	−1.29028	+	12.2762i	−0.177234	+	1.68627i	−0.616063	+	0.787697i	$0.711273\pi$
$54$	10.9609	−	15.0863i	1.49158	−	2.05299i
$55$	−0.662479	−	6.30307i	−0.0893287	−	0.849905i
$56$	0.185973	−	0.322114i	0.0248517	−	0.0430444i
$57$	9.79137	−	5.65305i	1.29690	−	0.748765i
$58$	0.673508	+	0.927005i	0.0884360	+	0.121722i
$59$	5.75532	−	5.18212i	0.749279	−	0.674654i	−0.203241	−	0.979129i	$-0.565148\pi$
$59$	5.75532	−	5.18212i	0.749279	−	0.674654i	0.952520	+	0.304475i	$0.0984809\pi$
$60$	5.78298	−	1.87901i	0.746580	−	0.242579i
$61$	4.34708			0.556587			0.278294	−	0.960496i	$-0.410231\pi$
$61$	4.34708			0.556587			0.278294	+	0.960496i	$0.410231\pi$
$62$	−5.01439	+	2.41989i	−0.636829	+	0.307326i
$63$			3.16121i			0.398275i
$64$	−0.309017	−	0.951057i	−0.0386271	−	0.118882i
$65$	−4.82026	−	4.30865i	−0.597879	−	0.534423i
$66$	9.69649	−	7.04491i	1.19355	−	0.867168i
$67$	−8.94065	+	5.16189i	−1.09227	+	0.630625i	−0.934181	−	0.356799i	$-0.883868\pi$
$67$	−8.94065	+	5.16189i	−1.09227	+	0.630625i	−0.158093	+	0.987424i	$0.550535\pi$
$68$	3.09463	−	5.36006i	0.375280	−	0.650003i
$69$	2.53473	+	24.1164i	0.305146	+	2.90327i
$70$	−0.392023	+	0.539573i	−0.0468557	+	0.0644913i
$71$	11.3509	+	1.19302i	1.34710	+	0.141586i	0.750456	−	0.660920i	$-0.229834\pi$
$71$	11.3509	+	1.19302i	1.34710	+	0.141586i	0.596644	+	0.802506i	$0.296500\pi$
$72$	6.31608	+	5.68702i	0.744357	+	0.670222i
$73$	−2.95061	+	6.62718i	−0.345343	+	0.775652i	0.654466	+	0.756091i	$0.272894\pi$
$73$	−2.95061	+	6.62718i	−0.345343	+	0.775652i	−0.999809	+	0.0195610i	$0.993773\pi$
$74$	10.4549	+	2.22225i	1.21535	+	0.258331i
$75$	5.91961	−	1.25825i	0.683537	−	0.145290i
$76$	1.35611	+	3.04587i	0.155556	+	0.349385i
$77$	−0.406243	+	1.25029i	−0.0462957	+	0.142484i
$78$	2.49869	−	11.9685i	0.282921	−	1.35517i
$79$	−8.05654	+	3.58700i	−0.906432	+	0.403570i	−0.806370	−	0.591412i	$-0.798571\pi$
$79$	−8.05654	+	3.58700i	−0.906432	+	0.403570i	−0.100062	+	0.994981i	$0.531904\pi$
$80$	0.372814	+	1.75395i	0.0416819	+	0.196098i
$81$	−36.9131	−	7.84612i	−4.10145	−	0.871791i
$82$	−1.90107	−	0.846412i	−0.209938	−	0.0934706i
$83$	10.1415	+	9.13144i	1.11317	+	1.00231i	0.999962	+	0.00873426i	$0.00278024\pi$
$83$	10.1415	+	9.13144i	1.11317	+	1.00231i	0.113211	+	0.993571i	$0.463886\pi$
$84$	−1.25437	−	0.131840i	−0.136863	−	0.0143849i
$85$	−6.52336	+	8.97863i	−0.707558	+	0.973869i
$86$	4.93093	−	0.518262i	0.531716	−	0.0558856i
$87$	1.94279	−	3.36502i	0.208289	−	0.360768i
$88$	1.76724	+	3.06094i	0.188388	+	0.326297i
$89$	0.397078	+	0.546531i	0.0420902	+	0.0579322i	0.829543	−	0.558442i	$-0.188601\pi$
$89$	0.397078	+	0.546531i	0.0420902	+	0.0579322i	−0.787453	+	0.616374i	$0.788601\pi$
$90$	−10.1976	−	11.3256i	−1.07492	−	1.19382i
$91$	0.549898	+	1.22314i	0.0576450	+	0.128220i
$92$	−7.15098			−0.745541
$93$	14.4126	+	12.1963i	1.49452	+	1.26469i
$94$	−0.233091			−0.0240415
$95$	−1.84746	−	5.68591i	−0.189546	−	0.583362i
$96$	−2.52003	+	2.26905i	−0.257200	+	0.231584i
$97$	3.41907	+	4.70594i	0.347154	+	0.477816i	0.946514	−	0.322664i	$-0.104578\pi$
$97$	3.41907	+	4.70594i	0.347154	+	0.477816i	−0.599360	+	0.800479i	$0.704578\pi$
$98$	−5.94237	+	3.43083i	−0.600270	+	0.346566i
$99$	−26.0153	−	15.0200i	−2.61464	−	1.50956i
$100$	0.186548	+	1.77489i	0.0186548	+	0.177489i
$101$	11.6130	+	8.43736i	1.15554	+	0.839548i	0.989207	−	0.146522i	$-0.0468078\pi$
$101$	11.6130	+	8.43736i	1.15554	+	0.839548i	0.166332	+	0.986070i	$0.446808\pi$
$102$	−20.8731	−	2.19385i	−2.06674	−	0.217223i
$103$	−5.28035	+	5.86442i	−0.520288	+	0.577838i	−0.944826	−	0.327572i	$-0.893770\pi$
$103$	−5.28035	+	5.86442i	−0.520288	+	0.577838i	0.424538	+	0.905410i	$0.360436\pi$
$104$	3.43310	+	1.10174i	0.336643	+	0.108035i
$105$	2.21223	+	0.470223i	0.215891	+	0.0458891i
$106$	2.56643	+	12.0741i	0.249273	+	1.17274i
$107$	−3.28944	+	1.46455i	−0.318002	+	0.141584i	−0.559530	−	0.828810i	$-0.689018\pi$
$107$	−3.28944	+	1.46455i	−0.318002	+	0.141584i	0.241528	+	0.970394i	$0.422352\pi$
$108$	5.76246	−	17.7350i	0.554493	−	1.70656i
$109$	−11.2786	−	3.66464i	−1.08029	−	0.351009i	−0.285806	−	0.958288i	$-0.592261\pi$
$109$	−11.2786	−	3.66464i	−1.08029	−	0.351009i	−0.794489	+	0.607278i	$0.792261\pi$
$110$	−2.57781	−	5.78986i	−0.245785	−	0.552041i
$111$	−7.53573	−	35.4528i	−0.715260	−	3.36504i
$112$	0.0773319	−	0.363818i	0.00730717	−	0.0343776i
$113$	−0.832453	−	0.370632i	−0.0783106	−	0.0348661i	0.367208	−	0.930139i	$-0.380314\pi$
$113$	−0.832453	−	0.370632i	−0.0783106	−	0.0348661i	−0.445518	+	0.895273i	$0.646981\pi$
$114$	7.56526	−	8.40207i	0.708551	−	0.786926i
$115$	12.7524	+	1.34033i	1.18917	+	0.124987i
$116$	0.927005	+	0.673508i	0.0860702	+	0.0625337i
$117$	−29.9511	+	6.47983i	−2.76898	+	0.599060i
$118$	3.87228	−	6.70698i	0.356472	−	0.617427i
$119$	1.99365	−	1.15104i	0.182758	−	0.105515i
$120$	4.91930	−	3.57408i	0.449069	−	0.326267i
$121$	−0.998664	−	1.10913i	−0.0907876	−	0.100830i
$122$	4.13432	−	1.34332i	0.374304	−	0.121619i
$123$			7.05669i			0.636280i
$124$	−4.02118	+	3.85098i	−0.361113	+	0.345829i
$125$		−	12.1658i		−	1.08814i
$126$	0.976868	+	3.00649i	0.0870264	+	0.267840i
$127$	−2.14260	−	2.37959i	−0.190125	−	0.211155i	0.640545	−	0.767921i	$-0.278709\pi$
$127$	−2.14260	−	2.37959i	−0.190125	−	0.211155i	−0.830669	+	0.556766i	$0.812042\pi$
$128$	−0.587785	−	0.809017i	−0.0519534	−	0.0715077i
$129$	−8.40653	−	14.5605i	−0.740154	−	1.28198i
$130$	−5.91578	−	2.60823i	−0.518849	−	0.228757i
$131$	0.122585	+	1.16631i	0.0107103	+	0.101901i	0.998571	−	0.0534405i	$-0.0170187\pi$
$131$	0.122585	+	1.16631i	0.0107103	+	0.101901i	−0.987861	+	0.155342i	$0.950352\pi$
$132$	7.04491	−	9.69649i	0.613181	−	0.843971i
$133$	−0.129627	+	1.23332i	−0.0112401	+	0.106942i
$134$	−6.90795	+	7.67206i	−0.596756	+	0.662765i
$135$	−13.6004	+	30.5471i	−1.17054	+	2.62907i
$136$	1.28682	−	6.05402i	0.110344	−	0.519128i
$137$	−2.38459	−	11.2186i	−0.203729	−	0.958470i	−0.954570	−	0.297987i	$-0.903685\pi$
$137$	−2.38459	−	11.2186i	−0.203729	−	0.958470i	0.750841	−	0.660483i	$-0.229648\pi$
$138$	9.86305	+	22.1528i	0.839598	+	1.88577i
$139$	0.516594	−	1.58991i	0.0438169	−	0.134855i	−0.926755	−	0.375667i	$-0.877414\pi$
$139$	0.516594	−	1.58991i	0.0438169	−	0.134855i	0.970572	+	0.240812i	$0.0774138\pi$
$140$	−0.206099	+	0.634306i	−0.0174185	+	0.0536087i
$141$	0.321492	+	0.722083i	0.0270745	+	0.0608104i
$142$	11.1640	−	2.37298i	0.936861	−	0.199136i
$143$	−12.6786	−	1.28615i	−1.06024	−	0.107553i
$144$	7.76434	+	3.45691i	0.647028	+	0.288075i
$145$	−1.52690	−	1.37483i	−0.126802	−	0.114173i
$146$	−0.758286	+	7.21461i	−0.0627562	+	0.597085i
$147$	18.8243	+	13.6767i	1.55260	+	1.12803i
$148$	10.6299	−	1.11725i	0.873771	−	0.0918371i
$149$	1.18999	+	0.687040i	0.0974876	+	0.0562845i	0.547951	−	0.836510i	$-0.315408\pi$
$149$	1.18999	+	0.687040i	0.0974876	+	0.0562845i	−0.450464	+	0.892795i	$0.648741\pi$
$150$	5.24106	−	3.02593i	0.427931	−	0.247066i
$151$	4.40891	+	6.06834i	0.358792	+	0.493835i	0.949812	−	0.312822i	$-0.101274\pi$
$151$	4.40891	+	6.06834i	0.358792	+	0.493835i	−0.591020	+	0.806657i	$0.701274\pi$
$152$	2.23096	+	2.47773i	0.180955	+	0.200970i
$153$	16.2553	+	50.0288i	1.31417	+	4.04459i
$154$			1.31463i			0.105936i
$155$	7.89284	−	6.11380i	0.633968	−	0.491073i
$156$	−1.32208	−	12.1549i	−0.105851	−	0.973168i
$157$	−6.91988	−	21.2972i	−0.552266	−	1.69970i	−0.703056	−	0.711135i	$-0.748182\pi$
$157$	−6.91988	−	21.2972i	−0.552266	−	1.69970i	0.150790	−	0.988566i	$-0.451818\pi$
$158$	−6.55378	+	5.90105i	−0.521391	+	0.469463i
$159$	33.8641	−	24.6037i	2.68560	−	1.95120i
$160$	0.896568	+	1.55290i	0.0708799	+	0.122768i
$161$	−2.30343	−	1.32989i	−0.181536	−	0.104810i
$162$	−37.5310	+	3.94467i	−2.94871	+	0.309922i
$163$	−11.6626	+	16.0522i	−0.913485	+	1.25730i	0.0524781	+	0.998622i	$0.483288\pi$
$163$	−11.6626	+	16.0522i	−0.913485	+	1.25730i	−0.965963	+	0.258682i	$0.916712\pi$
$164$	−2.06958	−	0.217522i	−0.161607	−	0.0169856i
$165$	−14.3807	+	15.9714i	−1.11954	+	1.24337i
$166$	12.4669	+	5.55062i	0.967619	+	0.430812i
$167$	2.77960	−	13.0770i	0.215092	−	1.01193i	−0.729576	−	0.683899i	$-0.760283\pi$
$167$	2.77960	−	13.0770i	0.215092	−	1.01193i	0.944668	−	0.328028i	$-0.106384\pi$
$168$	−1.23372	+	0.262235i	−0.0951835	+	0.0202319i
$169$	−10.4616	+	7.71723i	−0.804736	+	0.593633i
$170$	−3.42953	+	10.5550i	−0.263033	+	0.809533i
$171$	−26.9501	−	8.75663i	−2.06093	−	0.669636i
$172$	4.52944	−	2.01664i	0.345367	−	0.153767i
$173$	−9.25698	+	1.96763i	−0.703795	+	0.149596i	−0.545889	−	0.837858i	$-0.683808\pi$
$173$	−9.25698	+	1.96763i	−0.703795	+	0.149596i	−0.157906	+	0.987454i	$0.550474\pi$
$174$	0.807859	−	3.80068i	0.0612436	−	0.288129i
$175$	−0.269991	+	0.606409i	−0.0204094	+	0.0458402i
$176$	2.62662	+	2.36502i	0.197989	+	0.178270i
$177$	−26.1182	−	2.74513i	−1.96316	−	0.206337i
$178$	0.546531	+	0.397078i	0.0409642	+	0.0297622i
$179$	0.0256769	+	0.244299i	0.00191918	+	0.0182598i	0.995440	−	0.0953942i	$-0.0304112\pi$
$179$	0.0256769	+	0.244299i	0.00191918	+	0.0182598i	−0.993520	+	0.113654i	$0.963744\pi$
$180$	−13.1983	−	7.62004i	−0.983743	−	0.567964i
$181$	−7.01263	−	12.1462i	−0.521245	−	0.902823i	−0.999695	−	0.0247078i	$-0.992134\pi$
$181$	−7.01263	−	12.1462i	−0.521245	−	0.902823i	0.478450	−	0.878115i	$-0.341199\pi$
$182$	0.900956	+	0.993351i	0.0667833	+	0.0736320i
$183$	−9.86374	−	10.9548i	−0.729148	−	0.809801i
$184$	−6.80098	+	2.20977i	−0.501375	+	0.162907i
$185$	−19.1658			−1.40910
$186$	17.4761	+	7.14559i	1.28141	+	0.523940i
$187$			21.8758i			1.59972i
$188$	−0.221682	+	0.0720289i	−0.0161678	+	0.00525325i
$189$	5.15441	−	4.64105i	0.374928	−	0.337587i
$190$	−3.51409	−	4.83673i	−0.254939	−	0.350893i
$191$	−2.13118	−	3.69131i	−0.154207	−	0.267094i	0.778563	−	0.627566i	$-0.215949\pi$
$191$	−2.13118	−	3.69131i	−0.154207	−	0.267094i	−0.932770	+	0.360472i	$0.882616\pi$
$192$	−1.69552	+	2.93672i	−0.122363	+	0.211940i
$193$	−14.0864	+	1.48054i	−1.01396	+	0.106571i	−0.596906	−	0.802311i	$-0.703604\pi$
$193$	−14.0864	+	1.48054i	−1.01396	+	0.106571i	−0.417053	+	0.908882i	$0.636937\pi$
$194$	4.70594	+	3.41907i	0.337867	+	0.245475i
$195$	0.0794449	+	21.9237i	0.00568917	+	1.56999i
$196$	−4.59134	+	5.09920i	−0.327953	+	0.364229i
$197$	−0.773372	+	1.73702i	−0.0551005	+	0.123758i	−0.938998	−	0.343924i	$-0.888244\pi$
$197$	−0.773372	+	1.73702i	−0.0551005	+	0.123758i	0.883897	+	0.467681i	$0.154911\pi$
$198$	−29.3835	−	6.24565i	−2.08819	−	0.443859i
$199$	16.5594	−	3.51980i	1.17386	−	0.249512i	0.420608	−	0.907242i	$-0.361817\pi$
$199$	16.5594	−	3.51980i	1.17386	−	0.249512i	0.753254	+	0.657730i	$0.228483\pi$
$200$	0.725888	+	1.63037i	0.0513280	+	0.115285i
$201$	33.2949	+	10.8182i	2.34844	+	0.763054i
$202$	13.6519	+	4.43578i	0.960546	+	0.312100i
$203$	0.173347	+	0.389345i	0.0121666	+	0.0273266i
$204$	−20.5294	+	4.36366i	−1.43734	+	0.305517i
$205$	3.64994	+	0.775820i	0.254923	+	0.0541856i
$206$	−3.20970	+	7.20911i	−0.223631	+	0.502282i
$207$	40.6678	−	45.1662i	2.82661	−	3.13926i
$208$	3.60553	−	0.0130653i	0.249998	−	0.000905917i
$209$	−9.53372	−	6.92666i	−0.659461	−	0.479127i
$210$	2.24926	−	0.236407i	0.155214	−	0.0163136i
$211$	−3.38488	+	5.86278i	−0.233025	+	0.403611i	−0.958697	−	0.284430i	$-0.908196\pi$
$211$	−3.38488	+	5.86278i	−0.233025	+	0.403611i	0.725672	+	0.688041i	$0.241529\pi$
$212$	6.17192	+	10.6901i	0.423889	+	0.734197i
$213$	−22.7492	−	31.3116i	−1.55875	−	2.14543i
$214$	−2.67587	+	2.40937i	−0.182919	+	0.164701i
$215$	−8.45540	+	2.74733i	−0.576654	+	0.187366i
$216$		−	18.6477i		−	1.26882i
$217$	−2.01146	+	0.492626i	−0.136547	+	0.0334417i
$218$	−11.8590			−0.803195
$219$	23.3958	−	7.60174i	1.58094	−	0.513678i
$220$	−4.24081	−	4.70989i	−0.285915	−	0.317541i
$221$	14.9921	+	16.5296i	1.00848	+	1.11190i
$222$	−18.1224	−	31.3890i	−1.21630	−	2.10669i
$223$	−1.89690	−	1.09517i	−0.127026	−	0.0733383i	0.435141	−	0.900362i	$-0.356699\pi$
$223$	−1.89690	−	1.09517i	−0.127026	−	0.0733383i	−0.562166	+	0.827024i	$0.690032\pi$
$224$	−0.0388789	−	0.369908i	−0.00259771	−	0.0247155i
$225$	−12.2712	−	8.91557i	−0.818082	−	0.594371i
$226$	−0.906242	−	0.0952499i	−0.0602823	−	0.00633593i
$227$	3.08696	+	2.77951i	0.204889	+	0.184483i	0.765187	−	0.643808i	$-0.222647\pi$
$227$	3.08696	+	2.77951i	0.204889	+	0.184483i	−0.560298	+	0.828291i	$0.689313\pi$
$228$	4.59861	−	10.3286i	0.304550	−	0.684031i
$229$	−4.01227	+	18.8762i	−0.265138	+	1.24738i	0.620946	+	0.783853i	$0.286749\pi$
$229$	−4.01227	+	18.8762i	−0.265138	+	1.24738i	−0.886084	+	0.463524i	$0.846585\pi$
$230$	12.5425	−	2.66598i	0.827026	−	0.175790i
$231$	4.07255	−	1.81322i	0.267954	−	0.119301i
$232$	1.08976	+	0.354084i	0.0715462	+	0.0232468i
$233$	6.91946	−	21.2959i	0.453309	−	1.39514i	−0.419800	−	0.907617i	$-0.637900\pi$
$233$	6.91946	−	21.2959i	0.453309	−	1.39514i	0.873109	−	0.487525i	$-0.162100\pi$
$234$	−26.4828	+	15.4181i	−1.73124	+	1.00791i
$235$	0.408830	−	0.0868994i	0.0266691	−	0.00566869i
$236$	1.61018	−	7.57531i	0.104814	−	0.493111i
$237$	27.3200	+	12.1637i	1.77463	+	0.790115i
$238$	1.54039	−	1.71077i	0.0998484	−	0.110893i
$239$	−4.29266	−	0.451177i	−0.277669	−	0.0291842i	−0.0353296	−	0.999376i	$-0.511248\pi$
$239$	−4.29266	−	0.451177i	−0.277669	−	0.0291842i	−0.242339	+	0.970192i	$0.577915\pi$
$240$	3.57408	−	4.91930i	0.230706	−	0.317539i
$241$	16.9593	−	1.78250i	1.09245	−	0.114821i	0.458871	−	0.888503i	$-0.348254\pi$
$241$	16.9593	−	1.78250i	1.09245	−	0.114821i	0.633574	+	0.773682i	$0.281587\pi$
$242$	−1.29253	−	0.746240i	−0.0830867	−	0.0479701i
$243$	36.0134	+	62.3771i	2.31026	+	4.00149i
$244$	3.51687	−	2.55515i	0.225144	−	0.163577i
$245$	9.14357	−	8.23291i	0.584161	−	0.525981i
$246$	2.18064	+	6.71131i	0.139032	+	0.427897i
$247$	−11.9508	+	1.29988i	−0.760413	+	0.0827097i
$248$	−2.63435	+	4.90512i	−0.167282	+	0.311475i
$249$		−	46.2765i		−	2.93265i
$250$	−3.75945	−	11.5704i	−0.237768	−	0.731775i
$251$	5.02485	+	5.58066i	0.317166	+	0.352248i	0.880555	−	0.473943i	$-0.157170\pi$
$251$	5.02485	+	5.58066i	0.317166	+	0.352248i	−0.563390	+	0.826191i	$0.690503\pi$
$252$	1.85811	+	2.55747i	0.117050	+	0.161106i
$253$	21.8887	−	12.6375i	1.37613	−	0.794510i
$254$	−2.77306	−	1.60103i	−0.173998	−	0.100458i
$255$	37.4282	−	3.93387i	2.34385	−	0.246348i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	0.724794	−	6.89595i	0.0452114	−	0.430158i	−0.948381	−	0.317134i	$-0.897280\pi$
$257$	0.724794	−	6.89595i	0.0452114	−	0.430158i	0.993592	−	0.113024i	$-0.0360537\pi$
$258$	−12.4945	−	11.2501i	−0.777876	−	0.700403i
$259$	3.63182	+	1.61699i	0.225670	+	0.100475i
$260$	−6.43223	−	0.652498i	−0.398910	−	0.0404662i
$261$	−9.52583	+	2.02478i	−0.589634	+	0.125331i
$262$	0.476996	+	1.07135i	0.0294689	+	0.0661883i
$263$	−1.61136	+	4.95924i	−0.0993604	+	0.305800i	−0.988366	−	0.152097i	$-0.951397\pi$
$263$	−1.61136	+	4.95924i	−0.0993604	+	0.305800i	0.889005	+	0.457897i	$0.151397\pi$
$264$	3.70373	−	11.3989i	0.227949	−	0.701554i
$265$	−9.00278	−	20.2206i	−0.553036	−	1.24214i
$266$	0.257833	+	1.21301i	0.0158088	+	0.0743744i
$267$	0.476287	−	2.24075i	0.0291483	−	0.137132i
$268$	−4.19906	+	9.43124i	−0.256498	+	0.576105i
$269$	0.237693	−	0.263985i	0.0144924	−	0.0160954i	−0.735855	−	0.677139i	$-0.763220\pi$
$269$	0.237693	−	0.263985i	0.0144924	−	0.0160954i	0.750347	+	0.661044i	$0.229886\pi$
$270$	−3.49521	+	33.2547i	−0.212712	+	2.02382i
$271$	−13.6900	+	18.8426i	−0.831605	+	1.14461i	0.156017	+	0.987754i	$0.450135\pi$
$271$	−13.6900	+	18.8426i	−0.831605	+	1.14461i	−0.987622	+	0.156852i	$0.949865\pi$
$272$	−0.646955	−	6.15536i	−0.0392274	−	0.373224i
$273$	1.83461	−	4.16113i	0.111036	−	0.251843i
$274$	−5.73462	−	9.93265i	−0.346441	−	0.600053i
$275$	−3.70765	−	5.10315i	−0.223580	−	0.307731i
$276$	16.2259	+	18.0207i	0.976684	+	1.08472i
$277$	1.36908	+	4.21359i	0.0822599	+	0.253170i	0.983725	−	0.179683i	$-0.0575071\pi$
$277$	1.36908	+	4.21359i	0.0822599	+	0.253170i	−0.901465	+	0.432853i	$0.857507\pi$
$278$		−	1.67173i		−	0.100264i
$279$	−1.45455	−	47.2988i	−0.0870815	−	2.83170i
$280$			0.666949i			0.0398578i
$281$	−16.5091	+	5.36413i	−0.984849	+	0.319997i	−0.756796	−	0.653652i	$-0.773236\pi$
$281$	−16.5091	+	5.36413i	−0.984849	+	0.319997i	−0.228054	+	0.973649i	$0.573236\pi$
$282$	0.528893	+	0.587395i	0.0314951	+	0.0349789i
$283$	23.6505	−	17.1831i	1.40588	−	1.02143i	0.411971	−	0.911197i	$-0.364840\pi$
$283$	23.6505	−	17.1831i	1.40588	−	1.02143i	0.993906	−	0.110233i	$-0.0351596\pi$
$284$	9.88429	−	5.70670i	0.586525	−	0.338630i
$285$	−10.1367	+	17.5573i	−0.600446	+	1.04000i
$286$	−12.4555	+	2.69472i	−0.736512	+	0.159342i
$287$	−0.626190	−	0.454953i	−0.0369628	−	0.0268550i
$288$	8.45256	+	0.888400i	0.498072	+	0.0523495i
$289$	14.2572	−	15.8342i	0.838658	−	0.931424i
$290$	−1.87702	−	0.835701i	−0.110222	−	0.0490741i
$291$	4.10110	−	19.2941i	0.240411	−	1.13104i
$292$	1.50826	+	7.09582i	0.0882645	+	0.415252i
$293$	3.35345	+	7.53196i	0.195910	+	0.440022i	0.984612	−	0.174754i	$-0.0559131\pi$
$293$	3.35345	+	7.53196i	0.195910	+	0.440022i	−0.788702	+	0.614776i	$0.789246\pi$
$294$	22.1293	+	7.19025i	1.29061	+	0.419344i
$295$	−4.29133	+	13.2074i	−0.249851	+	0.768962i
$296$	9.76438	−	4.34738i	0.567543	−	0.252686i
$297$	13.7034	+	64.4695i	0.795153	+	3.74090i
$298$	1.34405	+	0.285687i	0.0778589	+	0.0165494i
$299$	7.87854	−	24.5500i	0.455628	−	1.41976i
$300$	4.04948	−	4.49741i	0.233797	−	0.259658i
$301$	1.83404	+	0.192765i	0.105712	+	0.0111108i
$302$	6.06834	+	4.40891i	0.349194	+	0.253704i
$303$	−5.08809	−	48.4099i	−0.292303	−	2.78108i
$304$	2.88743	+	1.66706i	0.165605	+	0.0956123i
$305$	−6.75059	+	3.89746i	−0.386538	+	0.223168i
$306$	30.9195	+	42.5570i	1.76755	+	2.43282i
$307$	22.1271	−	19.9233i	1.26286	−	1.13709i	0.278593	−	0.960409i	$-0.410132\pi$
$307$	22.1271	−	19.9233i	1.26286	−	1.13709i	0.984269	−	0.176676i	$-0.0565346\pi$
$308$	0.406243	+	1.25029i	0.0231479	+	0.0712418i
$309$	26.7599			1.52232
$310$	5.61726	−	8.25359i	0.319039	−	0.468773i
$311$	−16.6976			−0.946833			−0.473416	−	0.880839i	$-0.656979\pi$
$311$	−16.6976			−0.946833			−0.473416	+	0.880839i	$0.656979\pi$
$312$	−5.01343	−	11.1514i	−0.283830	−	0.631325i
$313$	16.9567	+	18.8323i	0.958450	+	1.06447i	0.997869	+	0.0652443i	$0.0207827\pi$
$313$	16.9567	+	18.8323i	0.958450	+	1.06447i	−0.0394188	+	0.999223i	$0.512551\pi$
$314$	−13.1624	−	18.1165i	−0.742796	−	1.02237i
$315$	−2.83424	−	4.90905i	−0.159691	−	0.276594i
$316$	−4.40949	+	7.63747i	−0.248053	+	0.429641i
$317$	2.37965	−	0.250111i	0.133655	−	0.0140477i	−0.0374650	−	0.999298i	$-0.511928\pi$
$317$	2.37965	−	0.250111i	0.133655	−	0.0140477i	0.171119	+	0.985250i	$0.445262\pi$
$318$	24.6037	−	33.8641i	1.37971	−	1.89901i
$319$	−4.02776	−	0.423334i	−0.225511	−	0.0237022i
$320$	1.33256	+	1.19984i	0.0744924	+	0.0670732i
$321$	11.1546	+	4.96635i	0.622590	+	0.277195i
$322$	−2.60165	−	0.552998i	−0.144984	−	0.0308174i
$323$	4.29041	+	20.1848i	0.238725	+	1.12311i
$324$	−34.4751	+	15.3493i	−1.91529	+	0.852740i
$325$	−6.29889	−	1.31503i	−0.349399	−	0.0729448i
$326$	−6.13139	+	18.8705i	−0.339586	+	1.04514i
$327$	16.3567	+	36.7377i	0.904526	+	2.03160i
$328$	−2.03551	+	0.432661i	−0.112392	+	0.0238897i
$329$	−0.0848025	−	0.0180253i	−0.00467531	−	0.000993768i
$330$	−8.74145	+	19.6336i	−0.481201	+	1.08079i
$331$	−7.51967	−	6.77074i	−0.413318	−	0.372153i	0.436078	−	0.899909i	$-0.356367\pi$
$331$	−7.51967	−	6.77074i	−0.413318	−	0.372153i	−0.849396	+	0.527755i	$0.823034\pi$
$332$	13.5720	+	1.42647i	0.744858	+	0.0782877i
$333$	−53.3958	+	73.4930i	−2.92607	+	4.02739i
$334$	−1.39745	−	13.2959i	−0.0764653	−	0.727519i
$335$	9.25597	−	16.0318i	0.505708	−	0.875911i
$336$	−1.09230	+	0.630641i	−0.0595899	+	0.0344043i
$337$	12.5154	−	9.09295i	0.681756	−	0.495324i	−0.192184	−	0.981359i	$-0.561557\pi$
$337$	12.5154	−	9.09295i	0.681756	−	0.495324i	0.873940	+	0.486034i	$0.161557\pi$
$338$	−7.56479	+	10.5723i	−0.411470	+	0.575059i
$339$	0.954871	+	2.93879i	0.0518615	+	0.159613i
$340$			11.0982i			0.601884i
$341$	5.50301	−	18.8940i	0.298005	−	1.02317i
$342$	−28.3371			−1.53229
$343$	−4.90344	+	1.59322i	−0.264761	+	0.0860261i
$344$	3.68458	−	3.31761i	0.198659	−	0.178874i
$345$	−25.5582	−	35.1778i	−1.37601	−	1.89391i
$346$	−8.19588	+	4.73189i	−0.440613	+	0.254388i
$347$	6.25789	−	10.8390i	0.335941	−	0.581867i	−0.647724	−	0.761875i	$-0.724279\pi$
$347$	6.25789	−	10.8390i	0.335941	−	0.581867i	0.983665	+	0.180008i	$0.0576124\pi$
$348$	−0.406155	−	3.86430i	−0.0217722	−	0.207148i
$349$	−13.6135	+	18.7374i	−0.728714	+	1.00299i	0.270475	+	0.962727i	$0.412819\pi$
$349$	−13.6135	+	18.7374i	−0.728714	+	1.00299i	−0.999189	+	0.0402618i	$0.987181\pi$
$350$	−0.0693858	+	0.660161i	−0.00370882	+	0.0352871i
$351$	54.5374	+	39.3226i	2.91099	+	2.09888i
$352$	3.22890	+	1.43760i	0.172101	+	0.0766243i
$353$	1.00016	−	4.70539i	0.0532332	−	0.250443i	−0.943483	−	0.331422i	$-0.892472\pi$
$353$	1.00016	−	4.70539i	0.0532332	−	0.250443i	0.996716	+	0.0809796i	$0.0258049\pi$
$354$	−25.6882	+	5.46019i	−1.36531	+	0.290206i
$355$	−18.6964	+	8.32418i	−0.992302	+	0.441802i
$356$	0.642486	+	0.208756i	0.0340517	+	0.0110641i
$357$	−7.42434	−	2.41231i	−0.392937	−	0.127673i
$358$	0.0999128	+	0.224408i	0.00528055	+	0.0118603i
$359$	−5.33519	−	25.1001i	−0.281580	−	1.32473i	−0.860543	−	0.509378i	$-0.829876\pi$
$359$	−5.33519	−	25.1001i	−0.281580	−	1.32473i	0.578963	−	0.815354i	$-0.303458\pi$
$360$	−14.9071	−	3.16859i	−0.785671	−	0.166999i
$361$	7.20210	+	3.20658i	0.379058	+	0.168767i
$362$	−10.4228	−	9.38474i	−0.547810	−	0.493251i
$363$	−0.529024	+	5.03333i	−0.0277666	+	0.264181i
$364$	1.16382	+	0.666322i	0.0610009	+	0.0349247i
$365$	−1.35971	−	12.9368i	−0.0711705	−	0.677142i
$366$	−12.7662	−	7.37056i	−0.667299	−	0.385265i
$367$	−7.02034	−	12.1596i	−0.366459	−	0.634726i	0.622550	−	0.782580i	$-0.286097\pi$
$367$	−7.02034	−	12.1596i	−0.366459	−	0.634726i	−0.989009	+	0.147854i	$0.952763\pi$
$368$	−5.78526	+	4.20324i	−0.301578	+	0.219109i
$369$	13.1437	−	11.8346i	0.684231	−	0.616085i
$370$	−18.2278	+	5.92257i	−0.947617	+	0.307900i
$371$			4.59124i			0.238365i
$372$	18.8288	+	1.39545i	0.976230	+	0.0723507i
$373$	5.15604			0.266970			0.133485	−	0.991051i	$-0.457383\pi$
$373$	5.15604			0.266970			0.133485	+	0.991051i	$0.457383\pi$
$374$	6.75999	+	20.8051i	0.349551	+	1.07581i
$375$	−30.6583	+	27.6048i	−1.58319	+	1.42551i
$376$	−0.188574	+	0.137007i	−0.00972497	+	0.00706561i
$377$	−3.33354	+	2.44047i	−0.171686	+	0.125690i
$378$	3.46797	−	6.00670i	0.178373	−	0.308951i
$379$	−3.25302	+	0.341906i	−0.167096	+	0.0175625i	−0.187707	−	0.982225i	$-0.560106\pi$
$379$	−3.25302	+	0.341906i	−0.167096	+	0.0175625i	0.0206108	+	0.999788i	$0.493439\pi$
$380$	−4.83673	−	3.51409i	−0.248119	−	0.180269i
$381$	−1.13500	+	10.7988i	−0.0581479	+	0.553240i
$382$	−3.16755	−	2.85208i	−0.162066	−	0.145925i
$383$	0.449558	−	1.00972i	0.0229713	−	0.0515944i	−0.901695	−	0.432372i	$-0.857677\pi$
$383$	0.449558	−	1.00972i	0.0229713	−	0.0515944i	0.924667	+	0.380777i	$0.124344\pi$
$384$	−0.705036	+	3.31693i	−0.0359787	+	0.169267i
$385$	−0.490113	−	2.30580i	−0.0249785	−	0.117514i
$386$	−12.9394	+	5.76100i	−0.658599	+	0.293227i
$387$	−13.0218	+	40.0770i	−0.661935	+	2.03723i
$388$	5.53217	+	1.79751i	0.280853	+	0.0912547i
$389$	3.49688	−	1.55691i	0.177299	−	0.0789385i	−0.316168	−	0.948703i	$-0.602396\pi$
$389$	3.49688	−	1.55691i	0.177299	−	0.0789385i	0.493467	+	0.869765i	$0.335730\pi$
$390$	6.85036	+	20.8262i	0.346882	+	1.05457i
$391$	−43.2921	−	9.20203i	−2.18938	−	0.465367i
$392$	−2.79089	+	6.26844i	−0.140961	+	0.316604i
$393$	2.66100	−	2.95534i	0.134230	−	0.149077i
$394$	−0.198751	+	1.89099i	−0.0100129	+	0.0952668i
$395$	9.29503	−	12.7935i	0.467684	−	0.643711i
$396$	−29.8753	+	3.14002i	−1.50129	+	0.157792i
$397$	−3.18372	−	1.83812i	−0.159786	−	0.0922526i	0.417975	−	0.908459i	$-0.362740\pi$
$397$	−3.18372	−	1.83812i	−0.159786	−	0.0922526i	−0.577761	+	0.816206i	$0.696073\pi$
$398$	14.6612	−	8.46465i	0.734900	−	0.424295i
$399$	3.40212	−	2.47179i	0.170319	−	0.123744i
$400$	1.19417	+	1.32626i	0.0597086	+	0.0663131i
$401$	11.3356	−	3.68317i	0.566074	−	0.183929i	−0.0119785	−	0.999928i	$-0.503813\pi$
$401$	11.3356	−	3.68317i	0.566074	−	0.183929i	0.578052	+	0.816000i	$0.303813\pi$
$402$	35.0083			1.74605
$403$	−8.79049	−	18.0479i	−0.437886	−	0.899031i
$404$	14.3545			0.714162
$405$	64.3569	−	20.9108i	3.19792	−	1.03907i
$406$	0.285177	+	0.316721i	0.0141531	+	0.0157186i
$407$	−30.5630	+	22.2053i	−1.51495	+	1.10068i
$408$	−18.1762	+	10.4940i	−0.899854	+	0.519531i
$409$	30.3796	+	17.5397i	1.50217	+	0.867280i	0.999997	+	0.00251485i	$0.000800502\pi$
$409$	30.3796	+	17.5397i	1.50217	+	0.867280i	0.502176	+	0.864765i	$0.332533\pi$
$410$	3.71104	−	0.390047i	0.183275	−	0.0192630i
$411$	−22.8605	+	31.4648i	−1.12762	+	1.55204i
$412$	−0.824871	+	7.84812i	−0.0406385	+	0.386649i
$413$	1.92747	−	2.14067i	0.0948444	−	0.105335i
$414$	24.7203	−	55.5226i	1.21493	−	2.72879i
$415$	−23.9357	−	5.08769i	−1.17496	−	0.249745i
$416$	3.42502	−	1.12660i	0.167926	−	0.0552359i
$417$	−5.17880	+	2.30575i	−0.253607	+	0.112913i
$418$	−11.2076	−	3.64156i	−0.548180	−	0.178114i
$419$	3.49533	−	10.7575i	0.170758	−	0.525539i	−0.828656	−	0.559758i	$-0.810894\pi$
$419$	3.49533	−	10.7575i	0.170758	−	0.525539i	0.999414	+	0.0342184i	$0.0108942\pi$
$420$	2.06612	−	0.919896i	0.100816	−	0.0448863i
$421$	−3.11825	−	14.6702i	−0.151974	−	0.714982i	−0.986467	−	0.163963i	$-0.947572\pi$
$421$	−3.11825	−	14.6702i	−0.151974	−	0.714982i	0.834492	−	0.551019i	$-0.185761\pi$
$422$	−1.40751	+	6.62182i	−0.0685166	+	0.322345i
$423$	0.805772	−	1.80979i	0.0391780	−	0.0879952i
$424$	9.17326	+	8.25964i	0.445493	+	0.401123i
$425$	−1.15460	+	10.9852i	−0.0560061	+	0.532863i
$426$	−31.3116	−	22.7492i	−1.51705	−	1.10220i
$427$	1.60802	−	0.169010i	0.0778176	−	0.00817896i
$428$	−1.80037	+	3.11833i	−0.0870242	+	0.150730i
$429$	25.5273	+	34.8689i	1.23247	+	1.68349i
$430$	−7.19259	+	5.22572i	−0.346858	+	0.252007i
$431$	−6.31408	+	5.68522i	−0.304138	+	0.273847i	−0.807041	−	0.590496i	$-0.798932\pi$
$431$	−6.31408	+	5.68522i	−0.304138	+	0.273847i	0.502902	+	0.864343i	$0.332266\pi$
$432$	−5.76246	−	17.7350i	−0.277247	−	0.853278i
$433$	21.6528			1.04057			0.520283	−	0.853994i	$-0.325827\pi$
$433$	21.6528			1.04057			0.520283	+	0.853994i	$0.325827\pi$
$434$	−1.76078	+	1.09009i	−0.0845203	+	0.0523260i
$435$			6.96739i			0.334061i
$436$	−11.2786	+	3.66464i	−0.540147	+	0.175505i
$437$	17.7182	−	15.9535i	0.847576	−	0.763161i
$438$	19.9016	−	14.4594i	0.950936	−	0.690896i
$439$	0.439228	+	0.760765i	0.0209632	+	0.0363093i	0.876317	−	0.481735i	$-0.159993\pi$
$439$	0.439228	+	0.760765i	0.0209632	+	0.0363093i	−0.855353	+	0.518045i	$0.826660\pi$
$440$	−5.48868	−	3.16889i	−0.261663	−	0.151071i
$441$	−6.09590	−	57.9986i	−0.290281	−	2.76184i
$442$	19.3663	+	11.0878i	0.921160	+	0.527391i
$443$	−3.23074	+	30.7384i	−0.153497	+	1.46043i	0.598428	+	0.801177i	$0.295792\pi$
$443$	−3.23074	+	30.7384i	−0.153497	+	1.46043i	−0.751925	+	0.659249i	$0.770874\pi$
$444$	−26.9352	−	24.2526i	−1.27829	−	1.15098i
$445$	−1.10662	−	0.492701i	−0.0524591	−	0.0233563i
$446$	−2.14248	−	0.455399i	−0.101450	−	0.0215638i
$447$	−0.968775	−	4.55773i	−0.0458215	−	0.215573i
$448$	−0.151284	−	0.339789i	−0.00714749	−	0.0160535i
$449$	−33.1515	−	10.7716i	−1.56452	−	0.508342i	−0.606507	−	0.795078i	$-0.707430\pi$
$449$	−33.1515	−	10.7716i	−1.56452	−	0.508342i	−0.958010	+	0.286736i	$0.907430\pi$
$450$	−14.4257	−	4.68719i	−0.680034	−	0.220956i
$451$	6.71928	−	2.99162i	0.316399	−	0.140870i
$452$	−0.891321	+	0.189456i	−0.0419242	+	0.00891127i
$453$	5.28839	−	24.8799i	0.248470	−	1.16896i
$454$	3.79479	+	1.68955i	0.178099	+	0.0792946i
$455$	−1.95057	−	1.40640i	−0.0914441	−	0.0659330i
$456$	1.18181	−	11.2442i	0.0553433	−	0.526556i
$457$	−13.2244	+	18.2019i	−0.618613	+	0.851447i	−0.997251	−	0.0740973i	$-0.976392\pi$
$457$	−13.2244	+	18.2019i	−0.618613	+	0.851447i	0.378638	+	0.925545i	$0.376392\pi$
$458$	2.01719	+	19.1922i	0.0942569	+	0.896794i
$459$	57.7079	−	99.9530i	2.69357	−	4.66541i
$460$	11.1048	−	6.41134i	0.517762	−	0.298930i
$461$	0.320098	+	0.440577i	0.0149084	+	0.0205197i	0.816406	−	0.577478i	$-0.195963\pi$
$461$	0.320098	+	0.440577i	0.0149084	+	0.0205197i	−0.801498	+	0.597998i	$0.795963\pi$
$462$	3.31291	−	2.98296i	0.154131	−	0.138780i
$463$	30.1064	−	9.78215i	1.39916	−	0.454615i	0.490242	−	0.871587i	$-0.336909\pi$
$463$	30.1064	−	9.78215i	1.39916	−	0.454615i	0.908919	+	0.416972i	$0.136909\pi$
$464$	1.14584			0.0531943
$465$	−33.3162	−	6.01769i	−1.54500	−	0.279064i
$466$		−	22.3918i		−	1.03728i
$467$	3.79375	+	11.6760i	0.175554	+	0.540299i	0.999658	−	0.0261386i	$-0.00832112\pi$
$467$	3.79375	+	11.6760i	0.175554	+	0.540299i	−0.824104	+	0.566438i	$0.808321\pi$
$468$	−20.4222	+	22.8471i	−0.944017	+	1.05611i
$469$	−3.10653	+	2.25703i	−0.143446	+	0.104220i
$470$	0.361967	−	0.208982i	0.0166963	−	0.00963960i
$471$	−37.9681	+	65.7626i	−1.74948	+	3.03018i
$472$	−0.809526	−	7.70213i	−0.0372615	−	0.354519i
$473$	−10.3005	+	14.1774i	−0.473617	+	0.651877i
$474$	29.7417	+	3.12598i	1.36608	+	0.143581i
$475$	−4.42191	−	3.98151i	−0.202891	−	0.182684i
$476$	0.936337	−	2.10305i	0.0429169	−	0.0963930i
$477$	−102.619	−	21.8124i	−4.69861	−	0.998721i
$478$	−4.22198	+	0.897410i	−0.193109	+	0.0410466i
$479$	−5.38863	−	12.1031i	−0.246213	−	0.553003i	0.747590	−	0.664161i	$-0.231211\pi$
$479$	−5.38863	−	12.1031i	−0.246213	−	0.553003i	−0.993803	+	0.111157i	$0.964544\pi$
$480$	1.87901	−	5.78298i	0.0857645	−	0.263956i
$481$	−7.87579	+	37.7244i	−0.359105	+	1.72008i
$482$	15.5784	−	6.93597i	0.709579	−	0.315925i
$483$	1.87524	+	8.82230i	0.0853263	+	0.401429i
$484$	−1.45987	−	0.310304i	−0.0663575	−	0.0141047i
$485$	−9.52867	−	4.24244i	−0.432675	−	0.192639i
$486$	53.5264	+	48.1954i	2.42801	+	2.18619i
$487$	−16.3026	−	1.71347i	−0.738740	−	0.0776447i	−0.272318	−	0.962207i	$-0.587790\pi$
$487$	−16.3026	−	1.71347i	−0.738740	−	0.0776447i	−0.466422	+	0.884563i	$0.654457\pi$
$488$	2.55515	−	3.51687i	0.115666	−	0.159201i
$489$	66.9149	−	7.03304i	3.02600	−	0.318045i
$490$	6.15194	−	10.6555i	0.277916	−	0.481365i
$491$	7.05231	+	12.2150i	0.318266	+	0.551253i	0.980126	−	0.198374i	$-0.0635661\pi$
$491$	7.05231	+	12.2150i	0.318266	+	0.551253i	−0.661860	+	0.749627i	$0.730233\pi$
$492$	4.14782	+	5.70898i	0.186998	+	0.257381i
$493$	4.74542	+	5.27032i	0.213723	+	0.237363i
$494$	−10.9642	+	4.92928i	−0.493304	+	0.221779i
$495$	53.8656			2.42108
$496$	−0.989655	+	5.47910i	−0.0444368	+	0.246019i
$497$	4.24516			0.190422
$498$	−14.3002	−	44.0116i	−0.640808	−	1.97221i
$499$	20.6749	−	18.6158i	0.925538	−	0.833358i	−0.0607904	−	0.998151i	$-0.519362\pi$
$499$	20.6749	−	18.6158i	0.925538	−	0.833358i	0.986328	+	0.164793i	$0.0526955\pi$
$500$	−7.15089	−	9.84236i	−0.319798	−	0.440164i
$501$	−39.2614	+	22.6676i	−1.75407	+	1.01271i
$502$	6.50343	+	3.75476i	0.290262	+	0.167583i
$503$	1.58996	+	15.1275i	0.0708928	+	0.674500i	0.971040	+	0.238915i	$0.0767917\pi$
$503$	1.58996	+	15.1275i	0.0708928	+	0.674500i	−0.900148	+	0.435585i	$0.856542\pi$
$504$	2.55747	+	1.85811i	0.113919	+	0.0827670i
$505$	−25.5985	−	2.69052i	−1.13912	−	0.119726i
$506$	16.9122	−	18.7829i	0.751840	−	0.835003i
$507$	43.1854	+	8.85272i	1.91793	+	0.393163i
$508$	−3.13209	−	0.665745i	−0.138964	−	0.0295377i
$509$	−7.98124	−	37.5488i	−0.353762	−	1.66432i	−0.690965	−	0.722888i	$-0.742814\pi$
$509$	−7.98124	−	37.5488i	−0.353762	−	1.66432i	0.337203	−	0.941432i	$-0.390519\pi$
$510$	34.3807	−	15.3073i	1.52240	−	0.677818i
$511$	−0.833797	+	2.56616i	−0.0368850	+	0.113520i
$512$	−0.951057	−	0.309017i	−0.0420312	−	0.0136568i
$513$	25.2883	+	56.7985i	1.11651	+	2.50771i
$514$	−1.44165	−	6.78241i	−0.0635883	−	0.299159i
$515$	2.94201	−	13.8411i	0.129640	−	0.609910i
$516$	−15.3595	−	6.83849i	−0.676164	−	0.301048i
$517$	0.551264	−	0.612241i	0.0242446	−	0.0269263i
$518$	3.95374	+	0.415555i	0.173717	+	0.0182584i
$519$	25.9630	+	18.8632i	1.13965	+	0.828004i
$520$	−6.31905	+	1.36711i	−0.277109	+	0.0599516i
$521$	14.4567	−	25.0397i	0.633360	−	1.09701i	−0.353500	−	0.935434i	$-0.615009\pi$
$521$	14.4567	−	25.0397i	0.633360	−	1.09701i	0.986860	−	0.161577i	$-0.0516580\pi$
$522$	−8.43391	+	4.86932i	−0.369142	+	0.213124i
$523$	−22.0758	+	16.0390i	−0.965306	+	0.701336i	−0.954377	−	0.298604i	$-0.903479\pi$
$523$	−22.0758	+	16.0390i	−0.965306	+	0.701336i	−0.0109293	+	0.999940i	$0.503479\pi$
$524$	0.784716	+	0.871515i	0.0342805	+	0.0380723i
$525$	2.14079	−	0.695585i	0.0934318	−	0.0303578i
$526$			5.21446i			0.227361i
$527$	−29.2998	+	18.1394i	−1.27632	+	0.790164i
$528$		−	11.9855i		−	0.521603i
$529$	8.69465	+	26.7594i	0.378028	+	1.16345i
$530$	−14.8107	−	16.4489i	−0.643334	−	0.714495i
$531$	38.6891	+	53.2510i	1.67897	+	2.31090i
$532$	0.620055	+	1.07397i	0.0268828	+	0.0465624i
$533$	3.02692	−	6.86543i	0.131111	−	0.297375i
$534$	−0.239455	−	2.27826i	−0.0103622	−	0.0985901i
$535$	3.79511	−	5.22351i	0.164077	−	0.225832i
$536$	−1.07913	+	10.2672i	−0.0466112	+	0.443476i
$537$	0.557380	−	0.619033i	0.0240527	−	0.0267132i
$538$	0.144484	−	0.324515i	0.00622913	−	0.0139909i
$539$	5.04234	−	23.7223i	0.217189	−	1.02179i
$540$	6.95213	+	32.7072i	0.299172	+	1.40749i
$541$	17.5731	+	39.4699i	0.755528	+	1.69694i	0.716380	+	0.697710i	$0.245798\pi$
$541$	17.5731	+	39.4699i	0.755528	+	1.69694i	0.0391480	+	0.999233i	$0.487536\pi$
$542$	−7.19723	+	22.1508i	−0.309148	+	0.951459i
$543$	−14.6969	+	45.2324i	−0.630705	+	1.94111i
$544$	−2.51740	−	5.65418i	−0.107933	−	0.242421i
$545$	20.8002	−	4.42121i	0.890981	−	0.189384i
$546$	0.458963	−	4.52439i	0.0196418	−	0.193626i
$547$	28.5784	+	12.7239i	1.22193	+	0.544036i	0.913355	−	0.407165i	$-0.133483\pi$
$547$	28.5784	+	12.7239i	1.22193	+	0.544036i	0.308571	+	0.951201i	$0.400149\pi$
$548$	−8.52330	−	7.67441i	−0.364097	−	0.327835i
$549$	−3.86195	+	36.7440i	−0.164824	+	1.56820i
$550$	−5.10315	−	3.70765i	−0.217599	−	0.158095i
$551$	−3.79944	+	0.399337i	−0.161861	+	0.0170123i
$552$	21.0004	+	12.1246i	0.893838	+	0.516058i
$553$	−2.84072	+	1.64009i	−0.120800	+	0.0697438i
$554$	2.60414	+	3.58429i	0.110639	+	0.152282i
$555$	43.4881	+	48.2985i	1.84597	+	2.05016i
$556$	−0.516594	−	1.58991i	−0.0219084	−	0.0674273i
$557$			8.20284i			0.347566i	0.984784	+	0.173783i	$0.0555991\pi$
$557$			8.20284i			0.347566i	−0.984784	+	0.173783i	$0.944401\pi$
$558$	−15.9995	−	44.5343i	−0.677312	−	1.88529i
$559$	1.93303	+	17.7718i	0.0817585	+	0.751669i
$560$	0.206099	+	0.634306i	0.00870926	+	0.0268043i
$561$	55.1276	−	49.6372i	2.32749	−	2.09568i
$562$	−14.0435	+	10.2032i	−0.592388	+	0.430395i
$563$	−13.1342	−	22.7491i	−0.553541	−	0.958761i	−0.998015	−	0.0629694i	$-0.979943\pi$
$563$	−13.1342	−	22.7491i	−0.553541	−	0.958761i	0.444475	−	0.895791i	$-0.353390\pi$
$564$	0.684522	+	0.395209i	0.0288236	+	0.0166413i
$565$	1.62502	−	0.170796i	0.0683649	−	0.00718544i
$566$	17.1831	−	23.6505i	0.722260	−	0.994105i
$567$	−13.9595	−	1.46720i	−0.586244	−	0.0616167i
$568$	7.63705	−	8.48180i	0.320444	−	0.355889i
$569$	−22.2793	−	9.91937i	−0.933996	−	0.415842i	−0.117421	−	0.993082i	$-0.537463\pi$
$569$	−22.2793	−	9.91937i	−0.933996	−	0.415842i	−0.816574	+	0.577241i	$0.804130\pi$
$570$	−4.21507	+	19.8304i	−0.176550	+	0.830602i
$571$	6.54490	−	1.39116i	0.273896	−	0.0582183i	−0.0689161	−	0.997622i	$-0.521954\pi$
$571$	6.54490	−	1.39116i	0.273896	−	0.0582183i	0.342812	+	0.939404i	$0.388621\pi$
$572$	−11.0132	+	6.41181i	−0.460486	+	0.268091i
$573$	−4.46648	+	13.7464i	−0.186590	+	0.574264i
$574$	−0.736130	−	0.239183i	−0.0307255	−	0.00998331i
$575$	11.6587	−	5.19081i	0.486203	−	0.216472i
$576$	8.31340	−	1.76707i	0.346392	−	0.0736278i
$577$	−0.644174	+	3.03060i	−0.0268173	+	0.126165i	−0.989520	−	0.144396i	$-0.953876\pi$
$577$	−0.644174	+	3.03060i	−0.0268173	+	0.126165i	0.962703	+	0.270562i	$0.0872094\pi$
$578$	8.66635	−	19.4649i	0.360473	−	0.809635i
$579$	35.6936	+	32.1387i	1.48338	+	1.33564i
$580$	−2.04339	−	0.214769i	−0.0848473	−	0.00891781i
$581$	4.10644	+	2.98350i	0.170364	+	0.123777i
$582$	−2.06184	−	19.6171i	−0.0854662	−	0.813156i
$583$	−37.7838	−	21.8145i	−1.56484	−	0.903463i
$584$	3.62717	+	6.28245i	0.150094	+	0.259970i
$585$	40.7015	−	36.9157i	1.68280	−	1.52628i
$586$	5.51682	+	6.12705i	0.227898	+	0.253106i
$587$	−6.24815	+	2.03015i	−0.257889	+	0.0837931i	−0.435108	−	0.900378i	$-0.643290\pi$
$587$	−6.24815	+	2.03015i	−0.257889	+	0.0837931i	0.177219	+	0.984171i	$0.443290\pi$
$588$	23.2681			0.959561
$589$	1.37203	−	18.5128i	0.0565334	−	0.762806i
$590$			13.8870i			0.571720i
$591$	6.13217	−	1.99246i	0.252244	−	0.0819589i
$592$	7.94306	−	7.15196i	0.326458	−	0.293944i
$593$	−22.6577	−	31.1857i	−0.930441	−	1.28064i	−0.959687	−	0.281069i	$-0.909311\pi$
$593$	−22.6577	−	31.1857i	−0.930441	−	1.28064i	0.0292469	−	0.999572i	$-0.490689\pi$
$594$	32.9549	+	57.0796i	1.35216	+	2.34200i
$595$	−2.06396	+	3.57489i	−0.0846143	+	0.146556i
$596$	1.36655	−	0.143630i	0.0559761	−	0.00588333i
$597$	−46.4440	−	33.7435i	−1.90082	−	1.38103i
$598$	−0.0934299	−	25.7830i	−0.00382063	−	1.05435i
$599$	9.45085	−	10.4962i	0.386151	−	0.428865i	−0.518460	−	0.855102i	$-0.673494\pi$
$599$	9.45085	−	10.4962i	0.386151	−	0.428865i	0.904611	+	0.426237i	$0.140161\pi$
$600$	2.46151	−	5.52865i	0.100491	−	0.225706i
$601$	19.9596	+	4.24254i	0.814168	+	0.173057i	0.596135	−	0.802884i	$-0.296702\pi$
$601$	19.9596	+	4.24254i	0.814168	+	0.173057i	0.218034	+	0.975941i	$0.430036\pi$
$602$	1.80384	−	0.383419i	0.0735191	−	0.0156270i
$603$	−35.6883	−	80.1573i	−1.45334	−	3.26426i
$604$	7.13377	+	2.31790i	0.290269	+	0.0943141i
$605$	2.54524	+	0.826997i	0.103479	+	0.0336222i
$606$	−19.7986	−	44.4683i	−0.804261	−	1.80640i
$607$	−26.6152	+	5.65723i	−1.08028	+	0.229620i	−0.713476	−	0.700679i	$-0.752880\pi$
$607$	−26.6152	+	5.65723i	−1.08028	+	0.229620i	−0.366801	+	0.930299i	$0.619547\pi$
$608$	3.26126	+	0.693201i	0.132261	+	0.0281130i
$609$	0.587827	−	1.32028i	0.0238200	−	0.0535005i
$610$	−5.21582	+	5.79275i	−0.211182	+	0.234542i
$611$	−0.00304540	−	0.840414i	−0.000123204	−	0.0339995i
$612$	42.5570	+	30.9195i	1.72027	+	1.24985i
$613$	11.6025	−	1.21947i	0.468621	−	0.0492541i	0.132725	−	0.991153i	$-0.457627\pi$
$613$	11.6025	−	1.21947i	0.468621	−	0.0492541i	0.335897	+	0.941899i	$0.390961\pi$
$614$	14.8875	−	25.7859i	0.600810	−	1.04063i
$615$	−6.32680	−	10.9583i	−0.255121	−	0.441883i
$616$	0.772721	+	1.06356i	0.0311338	+	0.0428520i
$617$	1.60896	−	1.44871i	0.0647742	−	0.0583229i	−0.636108	−	0.771600i	$-0.719457\pi$
$617$	1.60896	−	1.44871i	0.0647742	−	0.0583229i	0.700882	+	0.713277i	$0.252790\pi$
$618$	25.4501	−	8.26925i	1.02375	−	0.332638i
$619$		−	10.9815i		−	0.441384i	−0.975343	−	0.220692i	$-0.929168\pi$
$619$		−	10.9815i		−	0.441384i	0.975343	−	0.220692i	$-0.0708316\pi$
$620$	2.79183	−	9.58546i	0.112123	−	0.384961i
$621$	−133.349			−5.35113
$622$	−15.8803	+	5.15984i	−0.636744	+	0.206891i
$623$	0.168131	+	0.186728i	0.00673602	+	0.00748111i
$624$	−8.21403	−	9.05639i	−0.328824	−	0.362546i
$625$	6.44583	+	11.1645i	0.257833	+	0.446580i
$626$	21.9463	+	12.6707i	0.877151	+	0.506423i
$627$	4.17707	+	39.7422i	0.166816	+	1.58715i
$628$	−18.1165	−	13.1624i	−0.722926	−	0.525236i
$629$	65.7912	+	6.91494i	2.62327	+	0.275717i
$630$	−4.21251	−	3.79296i	−0.167830	−	0.151115i
$631$	0.980417	−	2.20205i	0.0390298	−	0.0876623i	−0.892978	−	0.450099i	$-0.851389\pi$
$631$	0.980417	−	2.20205i	0.0390298	−	0.0876623i	0.932008	+	0.362437i	$0.118055\pi$
$632$	−1.83357	+	8.62627i	−0.0729355	+	0.343135i
$633$	22.4548	−	4.77292i	0.892500	−	0.189707i
$634$	2.18589	−	0.973223i	0.0868129	−	0.0386516i
$635$	5.46071	+	1.77429i	0.216702	+	0.0704106i
$636$	12.9350	−	39.8097i	0.512904	−	1.57856i
$637$	−12.4476	−	21.3805i	−0.493191	−	0.847128i
$638$	−3.96144	+	0.842030i	−0.156835	+	0.0333363i
$639$	−20.1682	+	94.8841i	−0.797843	+	3.75356i
$640$	1.63811	+	0.729334i	0.0647520	+	0.0288295i
$641$	26.6565	−	29.6051i	1.05287	−	1.16933i	0.0677078	−	0.997705i	$-0.478431\pi$
$641$	26.6565	−	29.6051i	1.05287	−	1.16933i	0.985162	−	0.171625i	$-0.0549019\pi$
$642$	12.1434	+	1.27632i	0.479260	+	0.0503722i
$643$	8.62631	−	11.8731i	0.340188	−	0.468229i	−0.604308	−	0.796751i	$-0.706550\pi$
$643$	8.62631	−	11.8731i	0.340188	−	0.468229i	0.944496	+	0.328522i	$0.106550\pi$
$644$	−2.64521	+	0.278022i	−0.104236	+	0.0109556i
$645$	26.1090	+	15.0741i	1.02804	+	0.593541i
$646$	10.3179	+	17.8711i	0.405951	+	0.703128i
$647$	19.6776	−	14.2966i	0.773606	−	0.562057i	−0.129447	−	0.991586i	$-0.541320\pi$
$647$	19.6776	−	14.2966i	0.773606	−	0.562057i	0.903053	+	0.429529i	$0.141320\pi$
$648$	−28.0446	+	25.2515i	−1.10170	+	0.991972i
$649$	8.45869	+	26.0332i	0.332033	+	1.02189i
$650$	−6.39696	+	0.695794i	−0.250910	+	0.0272913i
$651$	5.80553	+	3.95115i	0.227537	+	0.154858i
$652$			19.8416i			0.777056i
$653$	4.12043	+	12.6814i	0.161245	+	0.496261i	0.998740	−	0.0501841i	$-0.0159808\pi$
$653$	4.12043	+	12.6814i	0.161245	+	0.496261i	−0.837495	+	0.546445i	$0.815981\pi$
$654$	26.9087	+	29.8851i	1.05221	+	1.16860i
$655$	−1.23604	−	1.70127i	−0.0482962	−	0.0664740i
$656$	−1.80218	+	1.04049i	−0.0703635	+	0.0406244i
$657$	−53.3953	−	30.8278i	−2.08315	−	1.20271i
$658$	−0.0862221	+	0.00906231i	−0.00336129	+	0.000353286i
$659$	−15.2391	−	11.0718i	−0.593630	−	0.431298i	0.249982	−	0.968250i	$-0.419575\pi$
$659$	−15.2391	−	11.0718i	−0.593630	−	0.431298i	−0.843612	+	0.536953i	$0.819575\pi$
$660$	−2.24649	+	21.3739i	−0.0874445	+	0.831979i
$661$	−17.1617	−	15.4525i	−0.667515	−	0.601033i	0.264093	−	0.964497i	$-0.414927\pi$
$661$	−17.1617	−	15.4525i	−0.667515	−	0.601033i	−0.931608	+	0.363464i	$0.881594\pi$
$662$	−9.24390	−	4.11565i	−0.359274	−	0.159959i
$663$	7.63726	−	75.2870i	0.296607	−	2.92391i
$664$	13.3485	−	2.83731i	0.518022	−	0.110109i
$665$	−0.904454	−	2.03144i	−0.0350732	−	0.0787758i
$666$	−28.0718	+	86.3962i	−1.08776	+	3.34779i
$667$	2.53205	−	7.79285i	0.0980414	−	0.301740i
$668$	−5.43771	−	12.2133i	−0.210391	−	0.472547i
$669$	1.54427	+	7.26524i	0.0597051	+	0.280890i
$670$	3.84885	−	18.1074i	0.148694	−	0.699550i
$671$	−6.24936	+	14.0363i	−0.241254	+	0.541865i
$672$	−0.843962	+	0.937315i	−0.0325565	+	0.0361577i
$673$	1.78155	−	16.9503i	0.0686738	−	0.653388i	−0.904995	−	0.425422i	$-0.860126\pi$
$673$	1.78155	−	16.9503i	0.0686738	−	0.653388i	0.973669	−	0.227966i	$-0.0732075\pi$
$674$	9.09295	−	12.5154i	0.350247	−	0.482074i
$675$	3.47870	+	33.0976i	0.133895	+	1.27393i
$676$	−3.92751	+	12.3925i	−0.151058	+	0.476636i
$677$	1.44666	+	2.50568i	0.0555995	+	0.0963011i	0.892486	−	0.451076i	$-0.148960\pi$
$677$	1.44666	+	2.50568i	0.0555995	+	0.0963011i	−0.836886	+	0.547377i	$0.815626\pi$
$678$	1.81627	+	2.49988i	0.0697535	+	0.0960075i
$679$	1.44770	+	1.60784i	0.0555577	+	0.0617031i
$680$	3.42953	+	10.5550i	0.131517	+	0.404766i
$681$		−	14.0861i		−	0.539780i
$682$	−0.604893	−	19.6698i	−0.0231625	−	0.753196i
$683$			43.2069i			1.65327i	0.562740	+	0.826634i	$0.309747\pi$
$683$			43.2069i			1.65327i	−0.562740	+	0.826634i	$0.690253\pi$
$684$	−26.9501	+	8.75663i	−1.03046	+	0.334818i
$685$	13.7613	+	15.2834i	0.525791	+	0.583950i
$686$	−4.17112	+	3.03049i	−0.159254	+	0.115705i
$687$	56.6727	−	32.7200i	2.16220	−	1.24835i
$688$	2.47905	−	4.29383i	0.0945127	−	0.163701i
$689$	−43.4999	+	9.41108i	−1.65722	+	0.358534i
$690$	−35.1778	−	25.5582i	−1.33920	−	0.972983i
$691$	−42.3706	−	4.45332i	−1.61185	−	0.169412i	−0.744680	−	0.667422i	$-0.767398\pi$
$691$	−42.3706	−	4.45332i	−1.61185	−	0.169412i	−0.867172	+	0.498009i	$0.834065\pi$
$692$	−6.33251	+	7.03296i	−0.240726	+	0.267353i
$693$	−10.2072	−	4.54455i	−0.387741	−	0.172633i
$694$	2.60218	−	12.2423i	0.0987772	−	0.464710i
$695$	0.623245	+	2.93214i	0.0236410	+	0.111222i
$696$	−1.58041	−	3.54966i	−0.0599053	−	0.134550i
$697$	−12.2494	−	3.98007i	−0.463978	−	0.150756i
$698$	−7.15704	+	22.0271i	−0.270898	+	0.833738i
$699$	−69.3669	+	30.8841i	−2.62370	+	1.16815i
$700$	0.138011	+	0.649292i	0.00521634	+	0.0245409i
$701$	3.52637	+	0.749552i	0.133189	+	0.0283102i	0.274024	−	0.961723i	$-0.411645\pi$
$701$	3.52637	+	0.749552i	0.133189	+	0.0283102i	−0.140835	+	0.990033i	$0.544979\pi$
$702$	64.0195	+	20.5450i	2.41626	+	0.775421i
$703$	−23.8455	+	26.4831i	−0.899349	+	0.998828i
$704$	3.51511	+	0.369453i	0.132481	+	0.0139243i
$705$	−1.14664	−	0.833084i	−0.0431850	−	0.0313758i
$706$	−0.502835	−	4.78416i	−0.0189245	−	0.180054i
$707$	4.62379	+	2.66955i	0.173895	+	0.100399i
$708$	−22.7436	+	13.1310i	−0.854757	+	0.493494i
$709$	−12.3172	−	16.9532i	−0.462583	−	0.636691i	0.512459	−	0.858712i	$-0.328735\pi$
$709$	−12.3172	−	16.9532i	−0.462583	−	0.636691i	−0.975042	+	0.222021i	$0.928735\pi$
$710$	−15.2090	+	13.6943i	−0.570785	+	0.513937i
$711$	−23.1620	−	71.2852i	−0.868641	−	2.67340i
$712$	0.675549			0.0253173
$713$	35.0764	+	18.8382i	1.31362	+	0.705497i
$714$	−7.80641			−0.292147
$715$	20.8418	−	9.37001i	0.779439	−	0.350419i
$716$	0.164369	+	0.182550i	0.00614274	+	0.00682220i
$717$	8.60326	+	11.8414i	0.321295	+	0.442224i
$718$	−12.8304	−	22.2229i	−0.478827	−	0.829353i
$719$	−1.24322	+	2.15332i	−0.0463642	+	0.0803052i	−0.888276	−	0.459310i	$-0.848097\pi$
$719$	−1.24322	+	2.15332i	−0.0463642	+	0.0803052i	0.841912	+	0.539615i	$0.181430\pi$
$720$	−15.1566	+	1.59302i	−0.564853	+	0.0593685i
$721$	−1.72524	+	2.37459i	−0.0642513	+	0.0884344i
$722$	7.84049	+	0.824069i	0.291793	+	0.0306687i
$723$	−42.9734	−	38.6934i	−1.59820	−	1.43902i
$724$	−12.8127	−	5.70459i	−0.476181	−	0.212009i
$725$	−2.00025	−	0.425167i	−0.0742875	−	0.0157903i
$726$	1.05225	+	4.95046i	0.0390527	+	0.183729i
$727$	17.5457	−	7.81186i	0.650735	−	0.289726i	−0.0546977	−	0.998503i	$-0.517420\pi$
$727$	17.5457	−	7.81186i	0.650735	−	0.289726i	0.705432	+	0.708777i	$0.250753\pi$
$728$	1.31277	+	0.274069i	0.0486543	+	0.0101577i
$729$	40.4912	−	124.619i	1.49968	−	4.61553i
$730$	−5.29084	−	11.8834i	−0.195823	−	0.439826i
$731$	30.0164	−	6.38018i	1.11020	−	0.235979i
$732$	−14.4190	−	3.06485i	−0.532941	−	0.113280i
$733$	−1.18725	+	2.66661i	−0.0438521	+	0.0984934i	−0.934143	−	0.356899i	$-0.883834\pi$
$733$	−1.18725	+	2.66661i	−0.0438521	+	0.0984934i	0.890291	+	0.455392i	$0.150501\pi$
$734$	−10.4343	−	9.39506i	−0.385136	−	0.346778i
$735$	−41.4943	−	4.36123i	−1.53054	−	0.160866i
$736$	−4.20324	+	5.78526i	−0.154933	+	0.213248i
$737$	−3.81415	−	36.2892i	−0.140496	−	1.33673i
$738$	8.84327	−	15.3170i	0.325525	−	0.563826i
$739$	−21.8484	+	12.6142i	−0.803708	+	0.464021i	−0.844766	−	0.535136i	$-0.820260\pi$
$739$	−21.8484	+	12.6142i	−0.803708	+	0.464021i	0.0410580	+	0.999157i	$0.486927\pi$
$740$	−15.5055	+	11.2654i	−0.569993	+	0.414124i
$741$	30.3927	+	27.1670i	1.11651	+	0.998004i
$742$	1.41877	+	4.36653i	0.0520847	+	0.160300i
$743$			1.51894i			0.0557247i	0.999612	+	0.0278623i	$0.00887000\pi$
$743$			1.51894i			0.0557247i	−0.999612	+	0.0278623i	$0.991130\pi$
$744$	18.3385	−	4.49128i	0.672323	−	0.164658i
$745$	−2.46391			−0.0902707
$746$	4.90369	−	1.59330i	0.179537	−	0.0583350i
$747$	−86.1938	+	77.6092i	−3.15366	+	2.83957i
$748$	12.8583	+	17.6979i	0.470145	+	0.647099i
$749$	−1.15985	+	0.669640i	−0.0423800	+	0.0244681i
$750$	−20.6274	+	35.7277i	−0.753205	+	1.30459i
$751$	−5.12972	−	48.8060i	−0.187186	−	1.78096i	−0.536451	−	0.843932i	$-0.680235\pi$
$751$	−5.12972	−	48.8060i	−0.187186	−	1.78096i	0.349265	−	0.937024i	$-0.386431\pi$
$752$	−0.137007	+	0.188574i	−0.00499614	+	0.00687659i
$753$	2.66182	−	25.3255i	0.0970022	−	0.922914i
$754$	−2.41624	+	3.35114i	−0.0879943	+	0.122041i
$755$	−12.2873	−	5.47065i	−0.447180	−	0.199097i
$756$	1.44206	−	6.78438i	0.0524473	−	0.246745i
$757$	−15.2827	+	3.24843i	−0.555458	+	0.118066i	−0.477084	−	0.878858i	$-0.658306\pi$
$757$	−15.2827	+	3.24843i	−0.555458	+	0.118066i	−0.0783743	+	0.996924i	$0.524973\pi$
$758$	−2.98815	+	1.33041i	−0.108534	+	0.0483226i
$759$	−81.5133	−	26.4853i	−2.95875	−	0.961355i
$760$	−5.68591	−	1.84746i	−0.206250	−	0.0670146i
$761$	4.51619	+	10.1435i	0.163712	+	0.367702i	0.976710	−	0.214564i	$-0.0688329\pi$
$761$	4.51619	+	10.1435i	0.163712	+	0.367702i	−0.812998	+	0.582266i	$0.802166\pi$
$762$	2.25757	+	10.6210i	0.0817830	+	0.384759i
$763$	−4.31453	−	0.917081i	−0.156196	−	0.0332006i
$764$	−3.89386	−	1.73366i	−0.140875	−	0.0627216i
$765$	−70.0971	−	63.1157i	−2.53437	−	2.28195i
$766$	0.115533	−	1.09922i	0.00417438	−	0.0397166i
$767$	24.2328	+	13.8740i	0.874995	+	0.500960i
$768$	0.354460	+	3.37246i	0.0127905	+	0.121693i
$769$	21.4513	+	12.3849i	0.773555	+	0.446612i	0.834141	−	0.551551i	$-0.185964\pi$
$769$	21.4513	+	12.3849i	0.773555	+	0.446612i	−0.0605865	+	0.998163i	$0.519297\pi$
$770$	−1.17866	−	2.04149i	−0.0424758	−	0.0735703i
$771$	−19.0226	+	13.8207i	−0.685082	+	0.497741i
$772$	−10.5259	+	9.47754i	−0.378835	+	0.341104i
$773$	−32.8597	+	10.6768i	−1.18188	+	0.384017i	−0.833065	−	0.553174i	$-0.813416\pi$
$773$	−32.8597	+	10.6768i	−1.18188	+	0.384017i	−0.348816	+	0.937191i	$0.613416\pi$
$774$			42.1394i			1.51467i
$775$	3.76064	−	9.19746i	0.135086	−	0.330382i
$776$	5.81686			0.208813
$777$	−4.16590	−	12.8213i	−0.149451	−	0.459962i
$778$	2.84462	−	2.56131i	0.101985	−	0.0918273i
$779$	5.61315	−	4.07819i	0.201112	−	0.146116i
$780$	12.9507	+	17.6900i	0.463710	+	0.633403i
$781$	−20.1702	+	34.9357i	−0.721745	+	1.25010i
$782$	−44.0169	+	4.62636i	−1.57404	+	0.165438i
$783$	17.2865	+	12.5594i	0.617770	+	0.448836i
$784$	−0.717238	+	6.82407i	−0.0256157	+	0.243717i
$785$	29.8403	+	26.8683i	1.06504	+	0.958970i
$786$	1.61751	−	3.63299i	0.0576947	−	0.129584i
$787$	−2.43312	+	11.4469i	−0.0867315	+	0.408039i	0.913268	+	0.407359i	$0.133550\pi$
$787$	−2.43312	+	11.4469i	−0.0867315	+	0.408039i	−1.00000		0.000680872i	$0.999783\pi$
$788$	0.395325	+	1.85986i	0.0140829	+	0.0662547i
$789$	16.1537	−	7.19208i	0.575086	−	0.256045i
$790$	4.88668	−	15.0397i	0.173860	−	0.535087i
$791$	−0.322341	−	0.104735i	−0.0114611	−	0.00372395i
$792$	−27.4428	+	12.2183i	−0.975138	+	0.434159i
$793$	4.89740	+	14.8889i	0.173912	+	0.528719i
$794$	−3.59591	−	0.764333i	−0.127614	−	0.0271252i
$795$	−30.5288	+	68.5687i	−1.08274	+	2.43188i
$796$	11.3279	−	12.5809i	0.401507	−	0.445919i
$797$	4.37225	−	41.5992i	0.154873	−	1.47352i	−0.590590	−	0.806972i	$-0.701105\pi$
$797$	4.37225	−	41.5992i	0.154873	−	1.47352i	0.745463	−	0.666547i	$-0.232229\pi$
$798$	2.47179	−	3.40212i	0.0875003	−	0.120434i
$799$	−1.43476	+	0.150799i	−0.0507580	+	0.00533489i
$800$	1.54556	+	0.892331i	0.0546439	+	0.0315487i
$801$	−4.97235	+	2.87079i	−0.175689	+	0.101434i
$802$	9.64265	−	7.00580i	0.340494	−	0.247383i
$803$	−17.1567	−	19.0544i	−0.605447	−	0.672417i
$804$	33.2949	−	10.8182i	1.17422	−	0.381527i
$805$	4.76934			0.168097
$806$	−13.9374	−	14.4482i	−0.490923	−	0.508915i
$807$	−1.20459			−0.0424034
$808$	13.6519	−	4.43578i	0.480273	−	0.156050i
$809$	18.1857	+	20.1973i	0.639375	+	0.710098i	0.972531	−	0.232774i	$-0.0747802\pi$
$809$	18.1857	+	20.1973i	0.639375	+	0.710098i	−0.333156	+	0.942872i	$0.608114\pi$
$810$	54.7453	−	39.7748i	1.92355	−	1.39754i
$811$	−16.0592	+	9.27181i	−0.563916	+	0.325577i	−0.754716	−	0.656052i	$-0.772225\pi$
$811$	−16.0592	+	9.27181i	−0.563916	+	0.325577i	0.190800	+	0.981629i	$0.438892\pi$
$812$	0.369092	+	0.213095i	0.0129526	+	0.00747818i
$813$	78.5471	−	8.25563i	2.75477	−	0.289538i
$814$	−22.2053	+	30.5630i	−0.778297	+	1.07123i
$815$	3.71898	−	35.3838i	0.130270	−	1.23944i
$816$	−14.0437	+	15.5971i	−0.491629	+	0.546009i
$817$	−6.72370	+	15.1017i	−0.235233	+	0.528341i
$818$	34.3127	+	7.29340i	1.19972	+	0.255008i
$819$	−10.8272	+	3.56141i	−0.378334	+	0.124446i
$820$	3.40888	−	1.51773i	0.119043	−	0.0530015i
$821$	6.84490	+	2.22404i	0.238889	+	0.0776196i	0.426015	−	0.904716i	$-0.359917\pi$
$821$	6.84490	+	2.22404i	0.238889	+	0.0776196i	−0.187126	+	0.982336i	$0.559917\pi$
$822$	−12.0185	+	36.9890i	−0.419192	+	1.29014i
$823$	−28.8845	+	12.8602i	−1.00685	+	0.448279i	−0.842831	−	0.538178i	$-0.819113\pi$
$823$	−28.8845	+	12.8602i	−1.00685	+	0.448279i	−0.164020	+	0.986457i	$0.552446\pi$
$824$	1.64070	+	7.71891i	0.0571566	+	0.268901i
$825$	−4.44725	+	20.9227i	−0.154833	+	0.728434i
$826$	1.17163	−	2.63152i	0.0407661	−	0.0915622i
$827$	−0.422220	−	0.380169i	−0.0146820	−	0.0132198i	0.661757	−	0.749718i	$-0.269811\pi$
$827$	−0.422220	−	0.380169i	−0.0146820	−	0.0132198i	−0.676439	+	0.736499i	$0.736478\pi$
$828$	6.35293	−	60.4441i	0.220780	−	2.10058i
$829$	−7.97283	−	5.79260i	−0.276908	−	0.201185i	0.440660	−	0.897674i	$-0.354745\pi$
$829$	−7.97283	−	5.79260i	−0.276908	−	0.201185i	−0.717568	+	0.696489i	$0.754745\pi$
$830$	−24.3364	+	2.55786i	−0.844728	+	0.0887845i
$831$	7.51187	−	13.0109i	0.260584	−	0.451344i
$832$	2.90925	−	2.12985i	0.100860	−	0.0738391i
$833$	−34.3578	+	24.9624i	−1.19043	+	0.864897i
$834$	−4.21282	+	3.79324i	−0.145878	+	0.131349i
$835$	7.40796	+	22.7994i	0.256363	+	0.789004i
$836$	−11.7843			−0.407570
$837$	−74.9859	+	71.8121i	−2.59189	+	2.48219i
$838$		−	11.3111i		−	0.390736i
$839$	−10.6180	+	3.45000i	−0.366574	+	0.119107i	−0.486511	−	0.873674i	$-0.661731\pi$
$839$	−10.6180	+	3.45000i	−0.366574	+	0.119107i	0.119937	+	0.992782i	$0.461731\pi$
$840$	1.68073	−	1.51334i	0.0579908	−	0.0522151i
$841$	22.3993	−	16.2740i	0.772389	−	0.561174i
$842$	−7.49897	−	12.9886i	−0.258432	−	0.447617i
$843$	50.9776	+	29.4319i	1.75576	+	1.01369i
$844$	0.707633	+	6.73267i	0.0243577	+	0.231748i
$845$	9.32676	−	21.3636i	0.320850	−	0.734930i
$846$	0.207078	−	1.97021i	0.00711948	−	0.0677373i
$847$	−0.412536	−	0.371449i	−0.0141749	−	0.0127631i
$848$	11.2767	+	5.02069i	0.387242	+	0.172411i
$849$	−96.9660	−	20.6108i	−3.32787	−	0.707360i
$850$	2.29654	+	10.8044i	0.0787707	+	0.370587i
$851$	−31.0880	−	69.8248i	−1.06568	−	2.39356i
$852$	−36.8090	−	11.9600i	−1.26105	−	0.409741i
$853$	−28.5221	−	9.26740i	−0.976579	−	0.317310i	−0.223110	−	0.974793i	$-0.571621\pi$
$853$	−28.5221	−	9.26740i	−0.976579	−	0.317310i	−0.753469	+	0.657483i	$0.771621\pi$
$854$	1.47709	−	0.657644i	0.0505451	−	0.0225041i
$855$	49.7018	−	10.5645i	1.69977	−	0.361297i
$856$	−0.748636	+	3.52206i	−0.0255879	+	0.120381i
$857$	17.9491	+	7.99143i	0.613128	+	0.272982i	0.689715	−	0.724081i	$-0.257736\pi$
$857$	17.9491	+	7.99143i	0.613128	+	0.272982i	−0.0765872	+	0.997063i	$0.524402\pi$
$858$	35.0530	+	25.2739i	1.19669	+	0.862838i
$859$	3.77471	−	35.9139i	0.128791	−	1.22537i	−0.718990	−	0.695021i	$-0.755395\pi$
$859$	3.77471	−	35.9139i	0.128791	−	1.22537i	0.847781	−	0.530347i	$-0.177938\pi$
$860$	−5.22572	+	7.19259i	−0.178196	+	0.245265i
$861$	0.274356	+	2.61033i	0.00935004	+	0.0889597i
$862$	−4.24822	+	7.35812i	−0.144695	+	0.250619i
$863$	33.8668	−	19.5530i	1.15284	−	0.665592i	0.203261	−	0.979125i	$-0.434846\pi$
$863$	33.8668	−	19.5530i	1.15284	−	0.665592i	0.949577	+	0.313533i	$0.101513\pi$
$864$	−10.9609	−	15.0863i	−0.372896	−	0.513247i
$865$	12.6111	−	11.3550i	0.428789	−	0.386083i
$866$	20.5930	−	6.69107i	0.699779	−	0.227372i
$867$	−72.2529			−2.45384
$868$	−1.33775	+	1.58085i	−0.0454061	+	0.0536575i
$869$		−	31.1704i		−	1.05738i
$870$	2.15304	+	6.62638i	0.0729949	+	0.224655i
$871$	−27.7521	−	24.8066i	−0.940343	−	0.840539i
$872$	−9.59416	+	6.97056i	−0.324899	+	0.236053i
$873$	−42.8148	+	24.7191i	−1.44906	+	0.836615i
$874$	11.9211	−	20.6479i	0.403237	−	0.698427i
$875$	−0.472994	−	4.50024i	−0.0159901	−	0.152136i
$876$	14.4594	−	19.9016i	0.488537	−	0.672414i
$877$	30.5991	+	3.21610i	1.03326	+	0.108600i	0.605947	−	0.795505i	$-0.292794\pi$
$877$	30.5991	+	3.21610i	1.03326	+	0.108600i	0.427311	+	0.904105i	$0.359461\pi$
$878$	0.652820	+	0.587801i	0.0220316	+	0.0198373i
$879$	11.3717	−	25.5412i	0.383556	−	0.861482i
$880$	−6.19929	−	1.31770i	−0.208978	−	0.0444197i
$881$	51.8400	−	11.0189i	1.74653	−	0.371237i	0.779602	−	0.626276i	$-0.215422\pi$
$881$	51.8400	−	11.0189i	1.74653	−	0.371237i	0.966931	+	0.255039i	$0.0820882\pi$
$882$	−23.7201	−	53.2762i	−0.798697	−	1.79390i
$883$	−8.13424	+	25.0346i	−0.273739	+	0.842482i	0.715811	+	0.698294i	$0.246057\pi$
$883$	−8.13424	+	25.0346i	−0.273739	+	0.842482i	−0.989550	+	0.144188i	$0.953943\pi$
$884$	21.8447	+	4.56057i	0.734718	+	0.153389i
$885$	43.0202	−	19.1538i	1.44611	−	0.643848i
$886$	6.42608	+	30.2323i	0.215888	+	1.01567i
$887$	18.2221	+	3.87324i	0.611840	+	0.130051i	0.503401	−	0.864053i	$-0.332082\pi$
$887$	18.2221	+	3.87324i	0.611840	+	0.130051i	0.108438	+	0.994103i	$0.465415\pi$
$888$	−33.1113	−	14.7421i	−1.11114	−	0.494713i
$889$	−0.885080	−	0.796929i	−0.0296846	−	0.0267281i
$890$	−1.20472	−	0.126621i	−0.0403822	−	0.00424434i
$891$	78.4005	−	107.909i	2.62652	−	3.61509i
$892$	−2.17835	+	0.228954i	−0.0729365	+	0.00766594i
$893$	0.388575	−	0.673032i	0.0130032	−	0.0225222i
$894$	−2.32978	−	4.03529i	−0.0779194	−	0.134960i
$895$	−0.258905	−	0.356352i	−0.00865422	−	0.0119115i
$896$	−0.248880	−	0.276410i	−0.00831451	−	0.00923419i
$897$	−79.7436	+	35.8509i	−2.66256	+	1.19703i
$898$	−34.8576			−1.16321
$899$	−2.77281	−	5.74570i	−0.0924783	−	0.191630i
$900$	−15.1681			−0.505602
$901$	23.6087	+	72.6601i	0.786519	+	2.42066i
$902$	5.46596	−	4.92157i	0.181997	−	0.163870i
$903$	−3.67574	−	5.05923i	−0.122321	−	0.168361i
$904$	−0.789152	+	0.455617i	−0.0262468	+	0.0151536i
$905$	21.7799	+	12.5746i	0.723987	+	0.417994i
$906$	−2.65876	−	25.2964i	−0.0883315	−	0.840418i
$907$	15.4674	+	11.2377i	0.513586	+	0.373142i	0.814182	−	0.580609i	$-0.197186\pi$
$907$	15.4674	+	11.2377i	0.513586	+	0.373142i	−0.300596	+	0.953752i	$0.597186\pi$
$908$	4.13116	+	0.434203i	0.137097	+	0.0144095i
$909$	−81.6343	+	90.6641i	−2.70764	+	3.00714i
$910$	−2.28970	−	0.734807i	−0.0759029	−	0.0243586i
$911$	28.8835	+	6.13939i	0.956954	+	0.203407i	0.659816	−	0.751427i	$-0.270634\pi$
$911$	28.8835	+	6.13939i	0.956954	+	0.203407i	0.297139	+	0.954834i	$0.403968\pi$
$912$	−2.35067	−	11.0590i	−0.0778385	−	0.366201i
$913$	−44.0639	+	19.6185i	−1.45830	+	0.649278i
$914$	−6.95249	+	21.3976i	−0.229968	+	0.707769i
$915$	25.1391	+	8.16820i	0.831074	+	0.270032i
$916$	7.84918	+	17.6296i	0.259344	+	0.582497i
$917$	0.0906901	+	0.426663i	0.00299485	+	0.0140897i
$918$	23.9963	−	112.894i	0.791996	−	3.72605i
$919$	39.6109	+	17.6359i	1.30664	+	0.581755i	0.937619	−	0.347665i	$-0.113025\pi$
$919$	39.6109	+	17.6359i	1.30664	+	0.581755i	0.369024	+	0.929420i	$0.379692\pi$
$920$	8.58005	−	9.52911i	0.282876	−	0.314165i
$921$	−100.415	−	10.5540i	−3.30878	−	0.347767i
$922$	0.440577	+	0.320098i	0.0145096	+	0.0105419i
$923$	8.70170	+	40.2210i	0.286420	+	1.32389i
$924$	2.22898	−	3.86071i	0.0733281	−	0.127008i
$925$	−16.5197	+	9.53763i	−0.543163	+	0.313595i
$926$	25.6100	−	18.6068i	0.841597	−	0.611456i
$927$	−44.8783	−	49.8424i	−1.47400	−	1.63704i
$928$	1.08976	−	0.354084i	0.0357731	−	0.0116234i
$929$		−	24.9718i		−	0.819299i	−0.912243	−	0.409649i	$-0.865651\pi$
$929$		−	24.9718i		−	0.819299i	0.912243	−	0.409649i	$-0.134349\pi$
$930$	−33.5451	+	4.57211i	−1.09999	+	0.149925i
$931$		−	22.8776i		−	0.749781i
$932$	−6.91946	−	21.2959i	−0.226654	−	0.697571i
$933$	37.8876	+	42.0784i	1.24038	+	1.37759i
$934$	7.21614	+	9.93217i	0.236119	+	0.324991i
$935$	−19.6131	−	33.9709i	−0.641418	−	1.11097i
$936$	−12.3625	+	28.0397i	−0.404082	+	0.916506i
$937$	5.61724	+	53.4445i	0.183507	+	1.74595i	0.568183	+	0.822902i	$0.307647\pi$
$937$	5.61724	+	53.4445i	0.183507	+	1.74595i	−0.384675	+	0.923052i	$0.625687\pi$
$938$	−2.25703	+	3.10653i	−0.0736945	+	0.101432i
$939$	8.98251	−	85.4629i	0.293133	−	2.78898i
$940$	0.279672	−	0.310607i	0.00912189	−	0.0101309i
$941$	−3.72998	+	8.37767i	−0.121594	+	0.273104i	−0.964079	−	0.265615i	$-0.914425\pi$
$941$	−3.72998	+	8.37767i	−0.121594	+	0.273104i	0.842485	+	0.538719i	$0.181092\pi$
$942$	−15.7880	+	74.2767i	−0.514401	+	2.42007i
$943$	3.09395	+	14.5559i	0.100753	+	0.474005i
$944$	−3.14999	−	7.07500i	−0.102524	−	0.230272i
$945$	−3.84327	+	11.8284i	−0.125022	+	0.384777i
$946$	−5.41528	+	16.6665i	−0.176066	+	0.541876i
$947$	18.6630	+	41.9177i	0.606465	+	1.36214i	0.912090	+	0.409990i	$0.134468\pi$
$947$	18.6630	+	41.9177i	0.606465	+	1.36214i	−0.305625	+	0.952152i	$0.598865\pi$
$948$	29.2520	−	6.21770i	0.950061	−	0.201942i
$949$	−26.0224	−	2.63976i	−0.844722	−	0.0856902i
$950$	−5.43584	−	2.42019i	−0.176362	−	0.0785214i
$951$	−6.02983	−	5.42928i	−0.195530	−	0.176056i
$952$	0.240632	−	2.28946i	0.00779893	−	0.0742019i
$953$	21.5682	+	15.6702i	0.698662	+	0.507607i	0.879496	−	0.475906i	$-0.157880\pi$
$953$	21.5682	+	15.6702i	0.698662	+	0.507607i	−0.180834	+	0.983514i	$0.557880\pi$
$954$	−104.337	+	10.9663i	−3.37804	+	0.355046i
$955$	6.61903	+	3.82150i	0.214187	+	0.123661i
$956$	−3.73803	+	2.15815i	−0.120896	+	0.0697996i
$957$	8.07235	+	11.1106i	0.260942	+	0.359156i
$958$	−8.86495	−	9.84552i	−0.286414	−	0.318094i
$959$	−1.31825	−	4.05714i	−0.0425684	−	0.131012i
$960$		−	6.08059i		−	0.196250i
$961$	29.8692	−	8.29630i	0.963524	−	0.267623i
$962$	4.16714	+	38.3118i	0.134354	+	1.23522i
$963$	−9.45689	−	29.1053i	−0.304744	−	0.937906i
$964$	12.6726	−	11.4105i	0.408158	−	0.367508i
$965$	20.5473	−	14.9285i	0.661442	−	0.480566i
$966$	4.50970	+	7.81103i	0.145097	+	0.251316i
$967$	−8.17000	−	4.71695i	−0.262729	−	0.151687i	0.362850	−	0.931848i	$-0.381804\pi$
$967$	−8.17000	−	4.71695i	−0.262729	−	0.151687i	−0.625579	+	0.780161i	$0.715137\pi$
$968$	−1.48430	+	0.156007i	−0.0477073	+	0.00501424i
$969$	41.1312	−	56.6122i	1.32132	−	1.81865i
$970$	−10.3733	−	1.09028i	−0.333066	−	0.0350067i
$971$	−0.849401	+	0.943356i	−0.0272586	+	0.0302737i	−0.756620	−	0.653855i	$-0.773151\pi$
$971$	−0.849401	+	0.943356i	−0.0272586	+	0.0302737i	0.729361	+	0.684129i	$0.239817\pi$
$972$	65.7998	+	29.2960i	2.11053	+	0.939668i
$973$	0.129278	−	0.608206i	0.00414447	−	0.0194982i
$974$	−16.0342	+	3.40816i	−0.513767	+	0.109205i
$975$	10.9785	+	18.8573i	0.351595	+	0.603915i
$976$	1.34332	−	4.13432i	0.0429987	−	0.132336i
$977$	58.5080	+	19.0104i	1.87184	+	0.608197i	0.990834	+	0.135085i	$0.0431306\pi$
$977$	58.5080	+	19.0104i	1.87184	+	0.608197i	0.881002	+	0.473112i	$0.156869\pi$
$978$	61.4666	−	27.3667i	1.96548	−	0.875090i
$979$	−2.33553	+	0.496433i	−0.0746439	+	0.0158661i
$980$	2.55812	−	12.0350i	0.0817162	−	0.384444i
$981$	40.9955	−	92.0775i	1.30889	−	2.93981i
$982$	10.4818	+	9.43783i	0.334487	+	0.301173i
$983$	21.4000	+	2.24923i	0.682553	+	0.0717392i	0.439458	−	0.898263i	$-0.355171\pi$
$983$	21.4000	+	2.24923i	0.682553	+	0.0717392i	0.243095	+	0.970002i	$0.421837\pi$
$984$	5.70898	+	4.14782i	0.181996	+	0.132228i
$985$	−0.356388	−	3.39081i	−0.0113555	−	0.108040i
$986$	6.14178	+	3.54596i	0.195594	+	0.112926i
$987$	0.146996	+	0.254605i	0.00467895	+	0.00810417i
$988$	−8.90438	+	8.07615i	−0.283286	+	0.256937i
$989$	−23.7242	−	26.3484i	−0.754385	−	0.837829i
$990$	51.2293	−	16.6454i	1.62817	−	0.529025i
$991$	13.5273			0.429709			0.214855	−	0.976646i	$-0.431072\pi$
$991$	13.5273			0.429709			0.214855	+	0.976646i	$0.431072\pi$
$992$	0.751918	+	5.51676i	0.0238734	+	0.175157i
$993$			34.3129i			1.08889i
$994$	4.03739	−	1.31183i	0.128058	−	0.0416086i
$995$	−22.5593	+	20.3125i	−0.715178	+	0.643949i
$996$	−27.2006	−	37.4385i	−0.861885	−	1.18628i
$997$	15.7313	+	27.2474i	0.498216	+	0.862935i	0.999998	−	0.00205885i	$-0.000655352\pi$
$997$	15.7313	+	27.2474i	0.498216	+	0.862935i	−0.501782	+	0.864994i	$0.667322\pi$
$998$	13.9104	−	24.0936i	0.440327	−	0.762669i
$999$	198.223	−	20.8341i	6.27151	−	0.659162i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	806.2.bw.a.51.19	yes	288
13.12	even	2	inner	806.2.bw.a.51.1	✓	288
31.14	even	15	inner	806.2.bw.a.727.1	yes	288
403.324	even	30	inner	806.2.bw.a.727.19	yes	288

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
806.2.bw.a.51.1	✓	288	13.12	even	2	inner
806.2.bw.a.51.19	yes	288	1.1	even	1	trivial
806.2.bw.a.727.1	yes	288	31.14	even	15	inner
806.2.bw.a.727.19	yes	288	403.324	even	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 806 = 2 \cdot 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	806.bw (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.951057 - 0.309017i) q^{2} +(-2.26905 - 2.52003i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-1.55290 + 0.896568i) q^{5} +(-2.93672 - 1.69552i) q^{6} +(0.369908 - 0.0388789i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.888400 + 8.45256i) q^{9} +O(q^{10})\)	\(q+(0.951057 - 0.309017i) q^{2} +(-2.26905 - 2.52003i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-1.55290 + 0.896568i) q^{5} +(-2.93672 - 1.69552i) q^{6} +(0.369908 - 0.0388789i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.888400 + 8.45256i) q^{9} +(-1.19984 + 1.33256i) q^{10} +(-1.43760 + 3.22890i) q^{11} +(-3.31693 - 0.705036i) q^{12} +(1.12660 + 3.42502i) q^{13} +(0.339789 - 0.151284i) q^{14} +(5.78298 + 1.87901i) q^{15} +(0.309017 - 0.951057i) q^{16} +(5.65418 - 2.51740i) q^{17} +(1.76707 + 8.31340i) q^{18} +(-0.693201 + 3.26126i) q^{19} +(-0.729334 + 1.63811i) q^{20} +(-0.937315 - 0.843962i) q^{21} +(-0.369453 + 3.51511i) q^{22} +(-5.78526 - 4.20324i) q^{23} +(-3.37246 + 0.354460i) q^{24} +(-0.892331 + 1.54556i) q^{25} +(2.12985 + 2.90925i) q^{26} +(15.0863 - 10.9609i) q^{27} +(0.276410 - 0.248880i) q^{28} +(0.354084 + 1.08976i) q^{29} +6.08059 q^{30} +(-5.51676 + 0.751918i) q^{31} -1.00000i q^{32} +(11.3989 - 3.70373i) q^{33} +(4.59952 - 4.14143i) q^{34} +(-0.539573 + 0.392023i) q^{35} +(4.24956 + 7.36046i) q^{36} +(9.25646 + 5.34422i) q^{37} +(0.348510 + 3.31585i) q^{38} +(6.07487 - 10.6106i) q^{39} +(-0.187434 + 1.78331i) q^{40} +(-1.54647 - 1.39245i) q^{41} +(-1.15224 - 0.513009i) q^{42} +(4.84975 + 1.03085i) q^{43} +(0.734858 + 3.45723i) q^{44} +(-6.19870 - 13.9225i) q^{45} +(-6.80098 - 2.20977i) q^{46} +(-0.221682 - 0.0720289i) q^{47} +(-3.09787 + 1.37926i) q^{48} +(-6.71171 + 1.42662i) q^{49} +(-0.371052 + 1.74566i) q^{50} +(-19.1735 - 8.53660i) q^{51} +(2.92461 + 2.10871i) q^{52} +(-1.29028 + 12.2762i) q^{53} +(10.9609 - 15.0863i) q^{54} +(-0.662479 - 6.30307i) q^{55} +(0.185973 - 0.322114i) q^{56} +(9.79137 - 5.65305i) q^{57} +(0.673508 + 0.927005i) q^{58} +(5.75532 - 5.18212i) q^{59} +(5.78298 - 1.87901i) q^{60} +4.34708 q^{61} +(-5.01439 + 2.41989i) q^{62} +3.16121i q^{63} +(-0.309017 - 0.951057i) q^{64} +(-4.82026 - 4.30865i) q^{65} +(9.69649 - 7.04491i) q^{66} +(-8.94065 + 5.16189i) q^{67} +(3.09463 - 5.36006i) q^{68} +(2.53473 + 24.1164i) q^{69} +(-0.392023 + 0.539573i) q^{70} +(11.3509 + 1.19302i) q^{71} +(6.31608 + 5.68702i) q^{72} +(-2.95061 + 6.62718i) q^{73} +(10.4549 + 2.22225i) q^{74} +(5.91961 - 1.25825i) q^{75} +(1.35611 + 3.04587i) q^{76} +(-0.406243 + 1.25029i) q^{77} +(2.49869 - 11.9685i) q^{78} +(-8.05654 + 3.58700i) q^{79} +(0.372814 + 1.75395i) q^{80} +(-36.9131 - 7.84612i) q^{81} +(-1.90107 - 0.846412i) q^{82} +(10.1415 + 9.13144i) q^{83} +(-1.25437 - 0.131840i) q^{84} +(-6.52336 + 8.97863i) q^{85} +(4.93093 - 0.518262i) q^{86} +(1.94279 - 3.36502i) q^{87} +(1.76724 + 3.06094i) q^{88} +(0.397078 + 0.546531i) q^{89} +(-10.1976 - 11.3256i) q^{90} +(0.549898 + 1.22314i) q^{91} -7.15098 q^{92} +(14.4126 + 12.1963i) q^{93} -0.233091 q^{94} +(-1.84746 - 5.68591i) q^{95} +(-2.52003 + 2.26905i) q^{96} +(3.41907 + 4.70594i) q^{97} +(-5.94237 + 3.43083i) q^{98} +(-26.0153 - 15.0200i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 288 q + 72 q^{4} + 32 q^{9}+O(q^{10}) \) 288 * q + 72 * q^4 + 32 * q^9	\( 288 q + 72 q^{4} + 32 q^{9} - 10 q^{13} - 12 q^{14} - 72 q^{16} + 10 q^{17} - 6 q^{22} - 48 q^{23} + 104 q^{25} + 12 q^{26} - 18 q^{27} + 36 q^{29} + 64 q^{30} - 28 q^{35} + 128 q^{36} - 70 q^{38} + 12 q^{39} - 6 q^{42} - 56 q^{43} - 58 q^{49} - 26 q^{51} + 10 q^{52} - 6 q^{53} + 72 q^{55} + 2 q^{56} - 140 q^{61} + 16 q^{62} + 72 q^{64} - 4 q^{65} + 40 q^{68} + 96 q^{69} - 28 q^{74} - 166 q^{75} - 68 q^{77} + 60 q^{78} - 80 q^{79} - 76 q^{81} + 24 q^{87} - 14 q^{88} + 114 q^{90} - 12 q^{91} + 8 q^{92} - 24 q^{94} + 100 q^{95}+O(q^{100}) \) 288 * q + 72 * q^4 + 32 * q^9 - 10 * q^13 - 12 * q^14 - 72 * q^16 + 10 * q^17 - 6 * q^22 - 48 * q^23 + 104 * q^25 + 12 * q^26 - 18 * q^27 + 36 * q^29 + 64 * q^30 - 28 * q^35 + 128 * q^36 - 70 * q^38 + 12 * q^39 - 6 * q^42 - 56 * q^43 - 58 * q^49 - 26 * q^51 + 10 * q^52 - 6 * q^53 + 72 * q^55 + 2 * q^56 - 140 * q^61 + 16 * q^62 + 72 * q^64 - 4 * q^65 + 40 * q^68 + 96 * q^69 - 28 * q^74 - 166 * q^75 - 68 * q^77 + 60 * q^78 - 80 * q^79 - 76 * q^81 + 24 * q^87 - 14 * q^88 + 114 * q^90 - 12 * q^91 + 8 * q^92 - 24 * q^94 + 100 * q^95

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more