LMFDB - Embedded newform 64.2.i.a.21.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [64,2,Mod(5,64)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(64, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("64.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 64 = 2^{6} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	64.i (of order $16$, 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:	$0.511042572936$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$7$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			21.5
Character	$\chi$	$=$	64.21
Dual form			64.2.i.a.61.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.297937 + 1.38247i) q^{2} +(0.123576 + 0.621259i) q^{3} +(-1.82247 + 0.823780i) q^{4} +(0.660623 - 0.441414i) q^{5} +(-0.822057 + 0.355937i) q^{6} +(-0.860072 - 0.356253i) q^{7} +(-1.68183 - 2.27408i) q^{8} +(2.40095 - 0.994505i) q^{9} +(0.807067 + 0.781780i) q^{10} +(-0.0768198 - 0.0152804i) q^{11} +(-0.736995 - 1.03043i) q^{12} +(-1.83807 - 1.22816i) q^{13} +(0.236264 - 1.29517i) q^{14} +(0.355870 + 0.355870i) q^{15} +(2.64277 - 3.00262i) q^{16} +(3.15660 - 3.15660i) q^{17} +(2.09021 + 3.02295i) q^{18} +(-3.67418 + 5.49880i) q^{19} +(-0.840335 + 1.34867i) q^{20} +(0.115041 - 0.578352i) q^{21} +(-0.00176270 - 0.110754i) q^{22} +(-2.85915 - 6.90260i) q^{23} +(1.20496 - 1.32588i) q^{24} +(-1.67184 + 4.03618i) q^{25} +(1.15027 - 2.90699i) q^{26} +(1.97029 + 2.94875i) q^{27} +(1.86093 - 0.0592500i) q^{28} +(-8.72686 + 1.73588i) q^{29} +(-0.385954 + 0.598007i) q^{30} +4.18821i q^{31} +(4.93843 + 2.75897i) q^{32} -0.0496134i q^{33} +(5.30439 + 3.42345i) q^{34} +(-0.725438 + 0.144299i) q^{35} +(-3.55639 + 3.79030i) q^{36} +(2.71234 + 4.05931i) q^{37} +(-8.69661 - 3.44116i) q^{38} +(0.535863 - 1.29369i) q^{39} +(-2.11487 - 0.759922i) q^{40} +(2.38360 + 5.75451i) q^{41} +(0.833832 - 0.0132708i) q^{42} +(0.476196 - 2.39400i) q^{43} +(0.152589 - 0.0354346i) q^{44} +(1.14713 - 1.71680i) q^{45} +(8.69082 - 6.00924i) q^{46} +(5.93827 - 5.93827i) q^{47} +(2.19199 + 1.27079i) q^{48} +(-4.33694 - 4.33694i) q^{49} +(-6.07802 - 1.10875i) q^{50} +(2.35115 + 1.57099i) q^{51} +(4.36155 + 0.724112i) q^{52} +(-1.38768 - 0.276027i) q^{53} +(-3.48954 + 3.60242i) q^{54} +(-0.0574939 + 0.0238148i) q^{55} +(0.636351 + 2.55503i) q^{56} +(-3.87022 - 1.60310i) q^{57} +(-4.99987 - 11.5475i) q^{58} +(10.1842 - 6.80486i) q^{59} +(-0.941720 - 0.355403i) q^{60} +(0.575578 + 2.89363i) q^{61} +(-5.79009 + 1.24782i) q^{62} -2.41928 q^{63} +(-2.34286 + 7.64925i) q^{64} -1.75639 q^{65} +(0.0685892 - 0.0147817i) q^{66} +(-1.81110 - 9.10504i) q^{67} +(-3.15246 + 8.35315i) q^{68} +(3.93498 - 2.62927i) q^{69} +(-0.415624 - 0.959907i) q^{70} +(3.80374 + 1.57556i) q^{71} +(-6.29958 - 3.78735i) q^{72} +(0.958083 - 0.396851i) q^{73} +(-4.80378 + 4.95916i) q^{74} +(-2.71412 - 0.539871i) q^{75} +(2.16627 - 13.0481i) q^{76} +(0.0606269 + 0.0405096i) q^{77} +(1.94814 + 0.355379i) q^{78} +(7.08438 + 7.08438i) q^{79} +(0.420475 - 3.15016i) q^{80} +(3.92436 - 3.92436i) q^{81} +(-7.24529 + 5.00974i) q^{82} +(-3.50145 + 5.24029i) q^{83} +(0.266776 + 1.14880i) q^{84} +(0.691955 - 3.47869i) q^{85} +(3.45152 - 0.0549324i) q^{86} +(-2.15687 - 5.20713i) q^{87} +(0.0944494 + 0.200393i) q^{88} +(-2.98468 + 7.20566i) q^{89} +(2.71521 + 1.07438i) q^{90} +(1.14333 + 1.71112i) q^{91} +(10.8969 + 10.2245i) q^{92} +(-2.60196 + 0.517563i) q^{93} +(9.97873 + 6.44027i) q^{94} +5.25446i q^{95} +(-1.10376 + 3.40899i) q^{96} +7.39898i q^{97} +(4.70357 - 7.28784i) q^{98} +(-0.199637 + 0.0397102i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} - 8 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 8 q^{14} - 8 q^{15} - 8 q^{16} - 8 q^{17} - 8 q^{18} - 8 q^{19} - 8 q^{20}+ \cdots + 16 q^{99}+O(q^{100}) $ 56 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^9 - 8 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 8 * q^14 - 8 * q^15 - 8 * q^16 - 8 * q^17 - 8 * q^18 - 8 * q^19 - 8 * q^20 - 8 * q^21 - 8 * q^23 + 32 * q^24 - 8 * q^25 + 32 * q^26 - 8 * q^27 + 32 * q^28 - 8 * q^29 + 72 * q^30 + 32 * q^32 + 32 * q^34 - 8 * q^35 + 72 * q^36 - 8 * q^37 + 32 * q^38 - 8 * q^39 + 32 * q^40 - 8 * q^41 + 32 * q^42 - 8 * q^43 - 8 * q^45 - 8 * q^46 - 8 * q^47 - 8 * q^48 - 8 * q^49 - 32 * q^50 + 24 * q^51 - 56 * q^52 - 8 * q^53 - 72 * q^54 + 56 * q^55 - 64 * q^56 - 8 * q^57 - 80 * q^58 + 56 * q^59 - 104 * q^60 - 8 * q^61 - 40 * q^62 + 64 * q^63 - 104 * q^64 - 16 * q^65 - 88 * q^66 + 72 * q^67 - 56 * q^68 - 8 * q^69 - 104 * q^70 + 56 * q^71 - 80 * q^72 - 8 * q^73 - 64 * q^74 + 56 * q^75 - 72 * q^76 - 8 * q^77 - 32 * q^78 + 24 * q^79 + 32 * q^80 - 8 * q^81 + 72 * q^82 - 8 * q^83 + 104 * q^84 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 72 * q^88 - 8 * q^89 + 136 * q^90 - 8 * q^91 + 144 * q^92 + 16 * q^93 + 88 * q^94 + 128 * q^96 + 128 * q^98 + 16 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/64\mathbb{Z}\right)^\times$.

$n$	$5$	$63$
$\chi(n)$	$e\left(\frac{13}{16}\right)$	$1$

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 $

$2$	0.297937	+	1.38247i	0.210673	+	0.977557i
$2$	0.297937	+	1.38247i	0.210673	+	0.977557i
$3$	0.123576	+	0.621259i	0.0713467	+	0.358684i	0.999922	−	0.0124589i	$-0.00396589\pi$
$3$	0.123576	+	0.621259i	0.0713467	+	0.358684i	−0.928576	+	0.371143i	$0.878966\pi$
$4$	−1.82247	+	0.823780i	−0.911234	+	0.411890i
$5$	0.660623	−	0.441414i	0.295439	−	0.197406i	−0.399012	−	0.916946i	$-0.630647\pi$
$5$	0.660623	−	0.441414i	0.295439	−	0.197406i	0.694452	+	0.719539i	$0.255647\pi$
$6$	−0.822057	+	0.355937i	−0.335603	+	0.145311i
$7$	−0.860072	−	0.356253i	−0.325077	−	0.134651i	0.214176	−	0.976795i	$-0.431293\pi$
$7$	−0.860072	−	0.356253i	−0.325077	−	0.134651i	−0.539253	+	0.842144i	$0.681293\pi$
$8$	−1.68183	−	2.27408i	−0.594618	−	0.804008i
$9$	2.40095	−	0.994505i	0.800315	−	0.331502i
$10$	0.807067	+	0.781780i	0.255217	+	0.247221i
$11$	−0.0768198	−	0.0152804i	−0.0231621	−	0.00460722i	0.183496	−	0.983021i	$-0.441259\pi$
$11$	−0.0768198	−	0.0152804i	−0.0231621	−	0.00460722i	−0.206658	+	0.978413i	$0.566259\pi$
$12$	−0.736995	−	1.03043i	−0.212752	−	0.297458i
$13$	−1.83807	−	1.22816i	−0.509788	−	0.340629i	0.273927	−	0.961751i	$-0.411677\pi$
$13$	−1.83807	−	1.22816i	−0.509788	−	0.340629i	−0.783714	+	0.621121i	$0.786677\pi$
$14$	0.236264	−	1.29517i	0.0631442	−	0.346148i
$15$	0.355870	+	0.355870i	0.0918852	+	0.0918852i
$16$	2.64277	−	3.00262i	0.660693	−	0.750656i
$17$	3.15660	−	3.15660i	0.765589	−	0.765589i	−0.211738	−	0.977326i	$-0.567912\pi$
$17$	3.15660	−	3.15660i	0.765589	−	0.765589i	0.977326	+	0.211738i	$0.0679123\pi$
$18$	2.09021	+	3.02295i	0.492667	+	0.712515i
$19$	−3.67418	+	5.49880i	−0.842914	+	1.26151i	0.120290	+	0.992739i	$0.461618\pi$
$19$	−3.67418	+	5.49880i	−0.842914	+	1.26151i	−0.963204	+	0.268771i	$0.913382\pi$
$20$	−0.840335	+	1.34867i	−0.187905	+	0.301572i
$21$	0.115041	−	0.578352i	0.0251041	−	0.126207i
$22$	−0.00176270	−	0.110754i	−0.000375809	−	0.0236128i
$23$	−2.85915	−	6.90260i	−0.596174	−	1.43929i	−0.877452	−	0.479665i	$-0.840758\pi$
$23$	−2.85915	−	6.90260i	−0.596174	−	1.43929i	0.281277	−	0.959627i	$-0.409242\pi$
$24$	1.20496	−	1.32588i	0.245961	−	0.270644i
$25$	−1.67184	+	4.03618i	−0.334368	+	0.807236i
$26$	1.15027	−	2.90699i	0.225586	−	0.570108i
$27$	1.97029	+	2.94875i	0.379183	+	0.567487i
$28$	1.86093	−	0.0592500i	0.351682	−	0.0111972i
$29$	−8.72686	+	1.73588i	−1.62054	+	0.322345i	−0.920195	−	0.391461i	$-0.871970\pi$
$29$	−8.72686	+	1.73588i	−1.62054	+	0.322345i	−0.700343	+	0.713806i	$0.746970\pi$
$30$	−0.385954	+	0.598007i	−0.0704652	+	0.109181i
$31$			4.18821i			0.752225i	0.926574	+	0.376112i	$0.122739\pi$
$31$			4.18821i			0.752225i	−0.926574	+	0.376112i	$0.877261\pi$
$32$	4.93843	+	2.75897i	0.872999	+	0.487722i
$33$		−	0.0496134i		−	0.00863658i
$34$	5.30439	+	3.42345i	0.909695	+	0.587117i
$35$	−0.725438	+	0.144299i	−0.122621	+	0.0243909i
$36$	−3.55639	+	3.79030i	−0.592732	+	0.631717i
$37$	2.71234	+	4.05931i	0.445907	+	0.667346i	0.984533	−	0.175198i	$-0.0560566\pi$
$37$	2.71234	+	4.05931i	0.445907	+	0.667346i	−0.538627	+	0.842545i	$0.681057\pi$
$38$	−8.69661	−	3.44116i	−1.41078	−	0.558230i
$39$	0.535863	−	1.29369i	0.0858067	−	0.207156i
$40$	−2.11487	−	0.759922i	−0.334390	−	0.120154i
$41$	2.38360	+	5.75451i	0.372255	+	0.898703i	0.993368	+	0.114982i	$0.0366810\pi$
$41$	2.38360	+	5.75451i	0.372255	+	0.898703i	−0.621113	+	0.783721i	$0.713319\pi$
$42$	0.833832	−	0.0132708i	0.128663	−	0.00204773i
$43$	0.476196	−	2.39400i	0.0726192	−	0.365081i	−0.927339	−	0.374222i	$-0.877910\pi$
$43$	0.476196	−	2.39400i	0.0726192	−	0.365081i	0.999958	+	0.00914095i	$0.00290970\pi$
$44$	0.152589	−	0.0354346i	0.0230037	−	0.00534197i
$45$	1.14713	−	1.71680i	0.171004	−	0.255926i
$46$	8.69082	−	6.00924i	1.28139	−	0.886014i
$47$	5.93827	−	5.93827i	0.866186	−	0.866186i	−0.125862	−	0.992048i	$-0.540170\pi$
$47$	5.93827	−	5.93827i	0.866186	−	0.866186i	0.992048	+	0.125862i	$0.0401697\pi$
$48$	2.19199	+	1.27079i	0.316387	+	0.183423i
$49$	−4.33694	−	4.33694i	−0.619563	−	0.619563i
$50$	−6.07802	−	1.10875i	−0.859562	−	0.156801i
$51$	2.35115	+	1.57099i	0.329227	+	0.219982i
$52$	4.36155	+	0.724112i	0.604838	+	0.100416i
$53$	−1.38768	−	0.276027i	−0.190613	−	0.0379152i	0.0988607	−	0.995101i	$-0.468480\pi$
$53$	−1.38768	−	0.276027i	−0.190613	−	0.0379152i	−0.289473	+	0.957186i	$0.593480\pi$
$54$	−3.48954	+	3.60242i	−0.474867	+	0.490227i
$55$	−0.0574939	+	0.0238148i	−0.00775248	+	0.00321118i
$56$	0.636351	+	2.55503i	0.0850359	+	0.341430i
$57$	−3.87022	−	1.60310i	−0.512623	−	0.212335i
$58$	−4.99987	−	11.5475i	−0.656515	−	1.51626i
$59$	10.1842	−	6.80486i	1.32587	−	0.885918i	0.327606	−	0.944815i	$-0.393758\pi$
$59$	10.1842	−	6.80486i	1.32587	−	0.885918i	0.998264	+	0.0588967i	$0.0187583\pi$
$60$	−0.941720	−	0.355403i	−0.121575	−	0.0458823i
$61$	0.575578	+	2.89363i	0.0736952	+	0.370491i	0.999980	−	0.00633357i	$-0.00201605\pi$
$61$	0.575578	+	2.89363i	0.0736952	+	0.370491i	−0.926285	+	0.376824i	$0.877016\pi$
$62$	−5.79009	+	1.24782i	−0.735342	+	0.158474i
$63$	−2.41928			−0.304801
$64$	−2.34286	+	7.64925i	−0.292858	+	0.956156i
$65$	−1.75639			−0.217854
$66$	0.0685892	−	0.0147817i	0.00844274	−	0.00181950i
$67$	−1.81110	−	9.10504i	−0.221262	−	1.11236i	−0.918471	−	0.395489i	$-0.870575\pi$
$67$	−1.81110	−	9.10504i	−0.221262	−	1.11236i	0.697209	−	0.716868i	$-0.254425\pi$
$68$	−3.15246	+	8.35315i	−0.382292	+	1.01297i
$69$	3.93498	−	2.62927i	0.473716	−	0.316527i
$70$	−0.415624	−	0.959907i	−0.0496766	−	0.114731i
$71$	3.80374	+	1.57556i	0.451421	+	0.186985i	0.596798	−	0.802392i	$-0.296440\pi$
$71$	3.80374	+	1.57556i	0.451421	+	0.186985i	−0.145377	+	0.989376i	$0.546440\pi$
$72$	−6.29958	−	3.78735i	−0.742412	−	0.446343i
$73$	0.958083	−	0.396851i	0.112135	−	0.0464479i	−0.325910	−	0.945401i	$-0.605671\pi$
$73$	0.958083	−	0.396851i	0.112135	−	0.0464479i	0.438046	+	0.898953i	$0.355671\pi$
$74$	−4.80378	+	4.95916i	−0.558428	+	0.576491i
$75$	−2.71412	−	0.539871i	−0.313399	−	0.0623390i
$76$	2.16627	−	13.0481i	0.248488	−	1.49672i
$77$	0.0606269	+	0.0405096i	0.00690908	+	0.00461650i
$78$	1.94814	+	0.355379i	0.220584	+	0.0402387i
$79$	7.08438	+	7.08438i	0.797055	+	0.797055i	0.982630	−	0.185575i	$-0.0594147\pi$
$79$	7.08438	+	7.08438i	0.797055	+	0.797055i	−0.185575	+	0.982630i	$0.559415\pi$
$80$	0.420475	−	3.15016i	0.0470105	−	0.352198i
$81$	3.92436	−	3.92436i	0.436040	−	0.436040i
$82$	−7.24529	+	5.00974i	−0.800109	+	0.553233i
$83$	−3.50145	+	5.24029i	−0.384334	+	0.575196i	−0.972314	−	0.233679i	$-0.924923\pi$
$83$	−3.50145	+	5.24029i	−0.384334	+	0.575196i	0.587980	+	0.808875i	$0.299923\pi$
$84$	0.266776	+	1.14880i	0.0291076	+	0.125344i
$85$	0.691955	−	3.47869i	0.0750530	−	0.377317i
$86$	3.45152	−	0.0549324i	0.372187	−	0.00592352i
$87$	−2.15687	−	5.20713i	−0.231240	−	0.558263i
$88$	0.0944494	+	0.200393i	0.0100683	+	0.0213620i
$89$	−2.98468	+	7.20566i	−0.316375	+	0.763798i	0.683065	+	0.730357i	$0.260646\pi$
$89$	−2.98468	+	7.20566i	−0.316375	+	0.763798i	−0.999441	+	0.0334406i	$0.989354\pi$
$90$	2.71521	+	1.07438i	0.286208	+	0.113250i
$91$	1.14333	+	1.71112i	0.119854	+	0.179374i
$92$	10.8969	+	10.2245i	1.13608	+	1.06597i
$93$	−2.60196	+	0.517563i	−0.269811	+	0.0536688i
$94$	9.97873	+	6.44027i	1.02923	+	0.664263i
$95$			5.25446i			0.539096i
$96$	−1.10376	+	3.40899i	−0.112652	+	0.347928i
$97$			7.39898i			0.751252i	0.926771	+	0.375626i	$0.122572\pi$
$97$			7.39898i			0.751252i	−0.926771	+	0.375626i	$0.877428\pi$
$98$	4.70357	−	7.28784i	0.475132	−	0.736183i
$99$	−0.199637	+	0.0397102i	−0.0200643	+	0.00399103i
$100$	−0.278051	−	8.73304i	−0.0278051	−	0.873304i
$101$	7.00497	+	10.4837i	0.697020	+	1.04316i	0.996039	+	0.0889173i	$0.0283407\pi$
$101$	7.00497	+	10.4837i	0.697020	+	1.04316i	−0.299019	+	0.954247i	$0.596659\pi$
$102$	−1.47136	+	3.71846i	−0.145686	+	0.368182i
$103$	−6.29127	+	15.1885i	−0.619897	+	1.49656i	0.231925	+	0.972734i	$0.425498\pi$
$103$	−6.29127	+	15.1885i	−0.619897	+	1.49656i	−0.851822	+	0.523831i	$0.824502\pi$
$104$	0.298400	+	6.24546i	0.0292605	+	0.612418i
$105$	−0.179294	−	0.432854i	−0.0174973	−	0.0422422i
$106$	−0.0318416	−	2.00067i	−0.00309273	−	0.194322i
$107$	1.51228	−	7.60273i	0.146197	−	0.734983i	−0.836236	−	0.548370i	$-0.815249\pi$
$107$	1.51228	−	7.60273i	0.146197	−	0.734983i	0.982433	−	0.186614i	$-0.0597513\pi$
$108$	−6.01991	−	3.75091i	−0.579266	−	0.360932i
$109$	9.12348	−	13.6543i	0.873871	−	1.30784i	−0.0766107	−	0.997061i	$-0.524410\pi$
$109$	9.12348	−	13.6543i	0.873871	−	1.30784i	0.950482	−	0.310780i	$-0.100590\pi$
$110$	−0.0500528	−	0.0723885i	−0.00477235	−	0.00690198i
$111$	−2.18670	+	2.18670i	−0.207553	+	0.207553i
$112$	−3.34267	+	1.64098i	−0.315853	+	0.155058i
$113$	−7.16639	−	7.16639i	−0.674158	−	0.674158i	0.284514	−	0.958672i	$-0.408168\pi$
$113$	−7.16639	−	7.16639i	−0.674158	−	0.674158i	−0.958672	+	0.284514i	$0.908168\pi$
$114$	1.06316	−	5.82810i	0.0995739	−	0.545851i
$115$	−4.93572	−	3.29795i	−0.460259	−	0.307535i
$116$	14.4744	−	10.3526i	1.34392	−	0.961215i
$117$	−5.63451	−	1.12077i	−0.520910	−	0.103615i
$118$	12.4418	+	12.0520i	1.14536	+	1.10947i
$119$	−3.83946	+	1.59035i	−0.351962	+	0.145788i
$120$	0.210762	−	1.40779i	0.0192398	−	0.128513i
$121$	−10.1570	−	4.20717i	−0.923364	−	0.382470i
$122$	−3.82887	+	1.65784i	−0.346650	+	0.150094i
$123$	−3.28049	+	2.19195i	−0.295792	+	0.197642i
$124$	−3.45016	−	7.63287i	−0.309834	−	0.685452i
$125$	1.45219	+	7.30065i	0.129888	+	0.652990i
$126$	−0.720794	−	3.34459i	−0.0642134	−	0.297960i
$127$	−12.6480			−1.12233			−0.561166	−	0.827704i	$-0.689647\pi$
$127$	−12.6480			−1.12233			−0.561166	+	0.827704i	$0.689647\pi$
$128$	−11.2729	−	0.959953i	−0.996394	−	0.0848486i
$129$	1.54614			0.136130
$130$	−0.523295	−	2.42817i	−0.0458960	−	0.212964i
$131$	−0.303754	−	1.52707i	−0.0265391	−	0.133421i	0.965244	−	0.261349i	$-0.0841674\pi$
$131$	−0.303754	−	1.52707i	−0.0265391	−	0.133421i	−0.991783	+	0.127928i	$0.959167\pi$
$132$	0.0408705	+	0.0904187i	0.00355732	+	0.00786994i
$133$	5.11902	−	3.42042i	0.443876	−	0.296588i
$134$	12.0479	−	5.21653i	1.04078	−	0.450640i
$135$	2.60324	+	1.07830i	0.224051	+	0.0928050i
$136$	−12.4872	−	1.86948i	−1.07077	−	0.160306i
$137$	5.30492	−	2.19737i	0.453230	−	0.187734i	−0.144378	−	0.989523i	$-0.546118\pi$
$137$	5.30492	−	2.19737i	0.453230	−	0.187734i	0.597608	+	0.801789i	$0.296118\pi$
$138$	4.80728	+	4.65665i	0.409223	+	0.396401i
$139$	−18.9696	−	3.77329i	−1.60898	−	0.320046i	−0.692899	−	0.721035i	$-0.743667\pi$
$139$	−18.9696	−	3.77329i	−1.60898	−	0.320046i	−0.916083	+	0.400988i	$0.868667\pi$
$140$	1.20322	−	0.860581i	0.101690	−	0.0727324i
$141$	4.42303	+	2.95538i	0.372487	+	0.248888i
$142$	−1.04490	+	5.72799i	−0.0876857	+	0.480682i
$143$	0.122433	+	0.122433i	0.0102384	+	0.0102384i
$144$	3.35903	−	9.83739i	0.279919	−	0.819782i
$145$	−4.99892	+	4.99892i	−0.415138	+	0.415138i
$146$	0.834085	+	1.20629i	0.0690294	+	0.0998331i
$147$	2.15842	−	3.23031i	0.178024	−	0.266431i
$148$	−8.28714	−	5.16358i	−0.681198	−	0.424444i
$149$	1.63597	−	8.22459i	0.134024	−	0.673785i	−0.854098	−	0.520113i	$-0.825890\pi$
$149$	1.63597	−	8.22459i	0.134024	−	0.673785i	0.988122	−	0.153672i	$-0.0491100\pi$
$150$	−0.0622778	−	3.91304i	−0.00508496	−	0.319498i
$151$	2.47779	+	5.98190i	0.201639	+	0.486800i	0.992060	−	0.125764i	$-0.0401381\pi$
$151$	2.47779	+	5.98190i	0.201639	+	0.486800i	−0.790421	+	0.612564i	$0.790138\pi$
$152$	18.6841	−	0.892698i	1.51548	−	0.0724074i
$153$	4.43958	−	10.7181i	0.358919	−	0.866506i
$154$	−0.0379405	+	0.0958844i	−0.00305733	+	0.00772658i
$155$	1.84873	+	2.76683i	0.148494	+	0.222237i
$156$	0.0891216	+	2.79913i	0.00713544	+	0.224110i
$157$	15.1994	−	3.02335i	1.21304	−	0.241289i	0.453208	−	0.891405i	$-0.350279\pi$
$157$	15.1994	−	3.02335i	1.21304	−	0.241289i	0.759836	+	0.650115i	$0.225279\pi$
$158$	−7.68327	+	11.9047i	−0.611248	+	0.947085i
$159$		−	0.896221i		−	0.0710749i
$160$	4.48029	−	0.357253i	0.354198	−	0.0282433i
$161$			6.95532i			0.548156i
$162$	6.59453	+	4.25611i	0.518115	+	0.334392i
$163$	13.1823	−	2.62213i	1.03252	−	0.205381i	0.350384	−	0.936606i	$-0.386051\pi$
$163$	13.1823	−	2.62213i	1.03252	−	0.205381i	0.682136	+	0.731225i	$0.261051\pi$
$164$	−9.08447	−	8.52384i	−0.709378	−	0.665600i
$165$	−0.0219000	−	0.0327757i	−0.00170491	−	0.00255159i
$166$	−8.28777	−	3.27938i	−0.643256	−	0.254530i
$167$	3.50753	−	8.46791i	0.271420	−	0.655267i	−0.728124	−	0.685445i	$-0.759608\pi$
$167$	3.50753	−	8.46791i	0.271420	−	0.655267i	0.999545	+	0.0301784i	$0.00960755\pi$
$168$	−1.50870	+	0.711080i	−0.116399	+	0.0548610i
$169$	−3.10477	−	7.49557i	−0.238828	−	0.576582i
$170$	5.01536	−	0.0798217i	0.384660	−	0.00612205i
$171$	−3.35293	+	16.8563i	−0.256405	+	1.28903i
$172$	1.10428	+	4.75526i	0.0842003	+	0.362585i
$173$	−4.17887	+	6.25411i	−0.317713	+	0.475491i	−0.955612	−	0.294629i	$-0.904804\pi$
$173$	−4.17887	+	6.25411i	−0.317713	+	0.475491i	0.637898	+	0.770120i	$0.279804\pi$
$174$	6.55611	−	4.53321i	0.497018	−	0.343662i
$175$	2.87581	−	2.87581i	0.217391	−	0.217391i
$176$	−0.248899	+	0.190278i	−0.0187614	+	0.0143428i
$177$	5.48611	+	5.48611i	0.412361	+	0.412361i
$178$	−10.8509	−	1.97941i	−0.813307	−	0.148363i
$179$	4.20486	+	2.80960i	0.314286	+	0.209999i	0.702701	−	0.711485i	$-0.251977\pi$
$179$	4.20486	+	2.80960i	0.314286	+	0.209999i	−0.388415	+	0.921485i	$0.626977\pi$
$180$	−0.676341	+	4.07380i	−0.0504114	+	0.303643i
$181$	−5.52166	−	1.09833i	−0.410422	−	0.0816379i	−0.0144385	−	0.999896i	$-0.504596\pi$
$181$	−5.52166	−	1.09833i	−0.410422	−	0.0816379i	−0.395983	+	0.918258i	$0.629596\pi$
$182$	−2.02494	+	2.09044i	−0.150098	+	0.154953i
$183$	−1.72656	+	0.715166i	−0.127631	+	0.0528666i
$184$	−10.8884	+	18.1110i	−0.802706	+	1.33516i
$185$	3.58367	+	1.48441i	0.263477	+	0.109136i
$186$	−1.49074	−	3.44295i	−0.109306	−	0.252449i
$187$	−0.290724	+	0.194256i	−0.0212598	+	0.0142054i
$188$	−5.93047	+	15.7141i	−0.432524	+	1.14607i
$189$	−0.644090	−	3.23806i	−0.0468507	−	0.235534i
$190$	−7.26416	+	1.56550i	−0.526997	+	0.113573i
$191$	1.29893			0.0939871			0.0469936	−	0.998895i	$-0.485036\pi$
$191$	1.29893			0.0939871			0.0469936	+	0.998895i	$0.485036\pi$
$192$	−5.04169	−	0.510261i	−0.363853	−	0.0368249i
$193$	−0.155182			−0.0111702			−0.00558511	−	0.999984i	$-0.501778\pi$
$193$	−0.155182			−0.0111702			−0.00558511	+	0.999984i	$0.501778\pi$
$194$	−10.2289	+	2.20443i	−0.734391	+	0.158269i
$195$	−0.217048	−	1.09118i	−0.0155432	−	0.0781407i
$196$	11.4766	+	4.33125i	0.819758	+	0.309375i
$197$	−10.0765	+	6.73293i	−0.717923	+	0.479701i	−0.860090	−	0.510142i	$-0.829593\pi$
$197$	−10.0765	+	6.73293i	−0.717923	+	0.479701i	0.142167	+	0.989843i	$0.454593\pi$
$198$	−0.114378	−	0.264161i	−0.00812846	−	0.0187731i
$199$	22.3945	+	9.27612i	1.58751	+	0.657566i	0.989580	−	0.143985i	$-0.0459917\pi$
$199$	22.3945	+	9.27612i	1.58751	+	0.657566i	0.597926	+	0.801551i	$0.295992\pi$
$200$	11.9904	−	2.98629i	0.847846	−	0.211163i
$201$	5.43278	−	2.25033i	0.383199	−	0.158726i
$202$	−12.4064	+	12.8077i	−0.872909	+	0.901144i
$203$	8.12414	+	1.61599i	0.570203	+	0.113420i
$204$	−5.57904	−	0.926244i	−0.390611	−	0.0648500i
$205$	4.11478	+	2.74941i	0.287388	+	0.192027i
$206$	−22.8721	−	4.17231i	−1.59357	−	0.290699i
$207$	−13.7293	−	13.7293i	−0.954255	−	0.954255i
$208$	−8.54528	+	2.27328i	−0.592509	+	0.157624i
$209$	0.366274	−	0.366274i	0.0253357	−	0.0253357i
$210$	0.544990	−	0.376832i	0.0376079	−	0.0260039i
$211$	5.00786	−	7.49478i	0.344755	−	0.515962i	−0.618057	−	0.786133i	$-0.712080\pi$
$211$	5.00786	−	7.49478i	0.344755	−	0.515962i	0.962812	+	0.270171i	$0.0870801\pi$
$212$	2.75639	−	0.640095i	0.189310	−	0.0439619i
$213$	−0.508780	+	2.55781i	−0.0348610	+	0.175258i
$214$	10.9611	−	0.174451i	0.749288	−	0.0119253i
$215$	−0.742159	−	1.79173i	−0.0506148	−	0.122195i
$216$	3.39198	−	9.43990i	0.230795	−	0.642304i
$217$	1.49206	−	3.60216i	0.101288	−	0.244531i
$218$	21.5949	+	8.54487i	1.46259	+	0.578731i
$219$	0.364944	+	0.546177i	0.0246606	+	0.0369072i
$220$	0.0851626	−	0.0907640i	0.00574166	−	0.00611931i
$221$	−9.67885	+	1.92524i	−0.651070	+	0.129506i
$222$	−3.67456	−	2.37156i	−0.246620	−	0.159169i
$223$		−	14.3604i		−	0.961644i	−0.876818	−	0.480822i	$-0.840338\pi$
$223$		−	14.3604i		−	0.961644i	0.876818	−	0.480822i	$-0.159662\pi$
$224$	−3.26451	−	4.13225i	−0.218119	−	0.276097i
$225$			11.3533i			0.756887i
$226$	7.77222	−	12.0425i	0.517000	−	0.801054i
$227$	1.51532	−	0.301416i	0.100575	−	0.0200057i	−0.144546	−	0.989498i	$-0.546172\pi$
$227$	1.51532	−	0.301416i	0.100575	−	0.0200057i	0.245121	+	0.969492i	$0.421172\pi$
$228$	8.37395	−	0.266618i	0.554578	−	0.0176572i
$229$	−10.8318	−	16.2109i	−0.715784	−	1.07125i	−0.993855	−	0.110686i	$-0.964695\pi$
$229$	−10.8318	−	16.2109i	−0.715784	−	1.07125i	0.278071	−	0.960560i	$-0.410305\pi$
$230$	3.08879	−	7.80609i	0.203669	−	0.514718i
$231$	−0.0176749	+	0.0426711i	−0.00116292	+	0.00280755i
$232$	18.6247	+	16.9261i	1.22277	+	1.11125i
$233$	0.955848	+	2.30762i	0.0626197	+	0.151177i	0.952092	−	0.305812i	$-0.0989278\pi$
$233$	0.955848	+	2.30762i	0.0626197	+	0.151177i	−0.889472	+	0.456989i	$0.848928\pi$
$234$	−0.129289	−	8.12348i	−0.00845187	−	0.531048i
$235$	1.30172	−	6.54419i	0.0849149	−	0.426896i
$236$	−12.9547	+	20.7912i	−0.843276	+	1.35339i
$237$	−3.52578	+	5.27670i	−0.229024	+	0.342759i
$238$	−3.34254	−	4.83412i	−0.216665	−	0.313350i
$239$	5.93760	−	5.93760i	0.384072	−	0.384072i	−0.488495	−	0.872567i	$-0.662454\pi$
$239$	5.93760	−	5.93760i	0.384072	−	0.384072i	0.872567	+	0.488495i	$0.162454\pi$
$240$	2.00903	−	0.128060i	0.129682	−	0.00826627i
$241$	7.45454	+	7.45454i	0.480189	+	0.480189i	0.905192	−	0.425003i	$-0.139727\pi$
$241$	7.45454	+	7.45454i	0.480189	+	0.480189i	−0.425003	+	0.905192i	$0.639727\pi$
$242$	2.79015	−	15.2953i	0.179358	−	0.983217i
$243$	11.7692	+	7.86396i	0.754998	+	0.504473i
$244$	−3.43268	−	4.79939i	−0.219755	−	0.307249i
$245$	−4.77947	−	0.950695i	−0.305349	−	0.0607377i
$246$	−4.00769	−	3.88212i	−0.255521	−	0.247515i
$247$	13.5068	−	5.59468i	0.859415	−	0.355981i
$248$	9.52431	−	7.04388i	0.604795	−	0.447287i
$249$	−3.68827	−	1.52773i	−0.233735	−	0.0968161i
$250$	−9.66030	+	4.18275i	−0.610971	+	0.264540i
$251$	−13.2843	+	8.87629i	−0.838498	+	0.560267i	−0.899024	−	0.437900i	$-0.855722\pi$
$251$	−13.2843	+	8.87629i	−0.838498	+	0.560267i	0.0605253	+	0.998167i	$0.480722\pi$
$252$	4.40906	−	1.99296i	0.277745	−	0.125544i
$253$	0.114165	+	0.573946i	0.00717749	+	0.0360837i
$254$	−3.76832	−	17.4856i	−0.236445	−	1.09714i
$255$	2.24668			0.140693
$256$	−2.03151	−	15.8705i	−0.126969	−	0.991907i
$257$	0.502791			0.0313633			0.0156816	−	0.999877i	$-0.495008\pi$
$257$	0.502791			0.0313633			0.0156816	+	0.999877i	$0.495008\pi$
$258$	0.460653	+	2.13750i	0.0286790	+	0.133075i
$259$	−0.886668	−	4.45758i	−0.0550949	−	0.276981i
$260$	3.20097	−	1.44688i	0.198516	−	0.0897318i
$261$	−19.2264	+	12.8467i	−1.19008	+	0.795188i
$262$	2.02064	−	0.874904i	0.124836	−	0.0540517i
$263$	−26.2018	−	10.8532i	−1.61567	−	0.669234i	−0.622155	−	0.782894i	$-0.713743\pi$
$263$	−26.2018	−	10.8532i	−1.61567	−	0.669234i	−0.993520	+	0.113660i	$0.963743\pi$
$264$	−0.112825	+	0.0834415i	−0.00694388	+	0.00513547i
$265$	−1.03858	+	0.430192i	−0.0637992	+	0.0264265i
$266$	6.25379	+	6.05784i	0.383444	+	0.371430i
$267$	−4.84542	−	0.963813i	−0.296535	−	0.0589844i
$268$	10.8012	+	15.1017i	0.659790	+	0.922482i
$269$	−5.76407	−	3.85143i	−0.351442	−	0.234826i	0.367301	−	0.930102i	$-0.380282\pi$
$269$	−5.76407	−	3.85143i	−0.351442	−	0.234826i	−0.718742	+	0.695276i	$0.755282\pi$
$270$	−0.715115	+	3.92017i	−0.0435205	+	0.238574i
$271$	−1.72051	−	1.72051i	−0.104513	−	0.104513i	0.652917	−	0.757430i	$-0.273545\pi$
$271$	−1.72051	−	1.72051i	−0.104513	−	0.104513i	−0.757430	+	0.652917i	$0.773545\pi$
$272$	−1.13591	−	17.8203i	−0.0688747	−	1.08051i
$273$	−0.921761	+	0.921761i	−0.0557875	+	0.0557875i
$274$	4.61834	+	6.67923i	0.279004	+	0.403507i
$275$	0.190105	−	0.284512i	0.0114638	−	0.0171567i
$276$	−5.00544	+	8.03332i	−0.301292	+	0.483549i
$277$	−3.73240	+	18.7640i	−0.224258	+	1.12742i	0.690473	+	0.723358i	$0.257402\pi$
$277$	−3.73240	+	18.7640i	−0.224258	+	1.12742i	−0.914731	+	0.404063i	$0.867598\pi$
$278$	−0.435275	−	27.3492i	−0.0261061	−	1.64030i
$279$	4.16519	+	10.0557i	0.249364	+	0.602017i
$280$	1.54821	+	1.40702i	0.0925235	+	0.0840853i
$281$	2.79945	−	6.75847i	0.167001	−	0.403177i	−0.818118	−	0.575051i	$-0.804982\pi$
$281$	2.79945	−	6.75847i	0.167001	−	0.403177i	0.985119	+	0.171874i	$0.0549823\pi$
$282$	−2.76795	+	6.99525i	−0.164829	+	0.416561i
$283$	5.39086	+	8.06799i	0.320453	+	0.479592i	0.956367	−	0.292168i	$-0.0943766\pi$
$283$	5.39086	+	8.06799i	0.320453	+	0.479592i	−0.635914	+	0.771760i	$0.719377\pi$
$284$	−8.23010	+	0.262038i	−0.488367	+	0.0155491i
$285$	−3.26438	+	0.649326i	−0.193365	+	0.0384628i
$286$	−0.132783	+	0.205738i	−0.00785164	+	0.0121655i
$287$		−	5.79845i		−	0.342272i
$288$	14.6007	+	1.71285i	0.860355	+	0.100931i
$289$		−	2.92828i		−	0.172252i
$290$	−8.40024	−	5.42151i	−0.493279	−	0.318362i
$291$	−4.59668	+	0.914337i	−0.269462	+	0.0535994i
$292$	−1.41916	+	1.51250i	−0.0830499	+	0.0885123i
$293$	−5.00829	−	7.49544i	−0.292587	−	0.437888i	0.655832	−	0.754907i	$-0.272318\pi$
$293$	−5.00829	−	7.49544i	−0.292587	−	0.437888i	−0.948419	+	0.317019i	$0.897318\pi$
$294$	5.10889	+	2.02153i	0.297956	+	0.117898i
$295$	3.72415	−	8.99089i	0.216828	−	0.523470i
$296$	4.66947	−	12.9952i	0.271408	−	0.755329i
$297$	−0.106299	−	0.256629i	−0.00616811	−	0.0148911i
$298$	11.8577	−	0.188721i	0.686898	−	0.0109323i
$299$	−3.22217	+	16.1989i	−0.186343	+	0.936808i
$300$	5.39112	−	1.25194i	0.311257	−	0.0722806i
$301$	−1.26243	+	1.88936i	−0.0727654	+	0.108901i
$302$	−7.53160	+	5.20770i	−0.433395	+	0.299670i
$303$	−5.64743	+	5.64743i	−0.324437	+	0.324437i
$304$	6.80080	+	25.5642i	0.390053	+	1.46621i
$305$	1.65753	+	1.65753i	0.0949097	+	0.0949097i
$306$	16.1402	+	2.94428i	0.922673	+	0.168314i
$307$	−12.5667	−	8.39679i	−0.717218	−	0.479230i	0.142632	−	0.989776i	$-0.454443\pi$
$307$	−12.5667	−	8.39679i	−0.717218	−	0.479230i	−0.859851	+	0.510546i	$0.829443\pi$
$308$	−0.143862	−	0.0238842i	−0.00819727	−	0.00136093i
$309$	−10.2134	−	2.03158i	−0.581022	−	0.115572i
$310$	−3.27426	+	3.38017i	−0.185965	+	0.191981i
$311$	−4.26292	+	1.76576i	−0.241728	+	0.100127i	−0.500259	−	0.865876i	$-0.666762\pi$
$311$	−4.26292	+	1.76576i	−0.241728	+	0.100127i	0.258531	+	0.966003i	$0.416762\pi$
$312$	−3.84318	+	0.957174i	−0.217577	+	0.0541893i
$313$	19.1426	+	7.92911i	1.08200	+	0.448180i	0.851211	−	0.524824i	$-0.175869\pi$
$313$	19.1426	+	7.92911i	1.08200	+	0.448180i	0.230790	+	0.973004i	$0.425869\pi$
$314$	8.70816	+	20.1120i	0.491430	+	1.13499i
$315$	−1.59823	+	1.06790i	−0.0900502	+	0.0601696i
$316$	−18.7470	−	7.07508i	−1.05460	−	0.398004i
$317$	−1.16146	−	5.83907i	−0.0652342	−	0.327955i	0.934363	−	0.356322i	$-0.115969\pi$
$317$	−1.16146	−	5.83907i	−0.0652342	−	0.327955i	−0.999598	+	0.0283671i	$0.990969\pi$
$318$	1.23900	−	0.267017i	0.0694798	−	0.0149736i
$319$	0.696921			0.0390201
$320$	1.82874	+	6.08744i	0.102229	+	0.340298i
$321$	4.91015			0.274058
$322$	−9.61554	+	2.07225i	−0.535853	+	0.115482i
$323$	5.75959	+	28.9554i	0.320472	+	1.61112i
$324$	−3.91920	+	10.3848i	−0.217734	+	0.576934i
$325$	8.03002	−	5.36549i	0.445425	−	0.297624i
$326$	7.55253	+	17.4430i	0.418296	+	0.966078i
$327$	9.61028	+	3.98071i	0.531450	+	0.220134i
$328$	9.07739	−	15.0986i	0.501215	−	0.833681i
$329$	−7.22287	+	2.99181i	−0.398210	+	0.164944i
$330$	0.0387867	−	0.0400413i	0.00213514	−	0.00220420i
$331$	25.5621	+	5.08462i	1.40502	+	0.279476i	0.838648	−	0.544674i	$-0.183346\pi$
$331$	25.5621	+	5.08462i	1.40502	+	0.279476i	0.566372	+	0.824149i	$0.308346\pi$
$332$	2.06443	−	12.4347i	0.113300	−	0.682441i
$333$	10.5492	+	7.04875i	0.578092	+	0.386269i
$334$	12.7517	+	2.32616i	0.697741	+	0.127282i
$335$	−5.21555	−	5.21555i	−0.284956	−	0.284956i
$336$	−1.43255	−	1.87388i	−0.0781518	−	0.102229i
$337$	−14.8554	+	14.8554i	−0.809225	+	0.809225i	−0.984517	−	0.175292i	$-0.943913\pi$
$337$	−14.8554	+	14.8554i	−0.809225	+	0.809225i	0.175292	+	0.984517i	$0.443913\pi$
$338$	9.43740	−	6.52546i	0.513327	−	0.354938i
$339$	3.56659	−	5.33779i	0.193711	−	0.289909i
$340$	1.60461	+	6.90982i	0.0870223	+	0.374738i
$341$	0.0639976	−	0.321738i	0.00346566	−	0.0174231i
$342$	−24.3024	+	0.386783i	−1.31412	+	0.0209148i
$343$	4.67880	+	11.2956i	0.252632	+	0.609907i
$344$	−6.24502	+	2.94340i	−0.336709	+	0.158698i
$345$	1.43894	−	3.47391i	0.0774700	−	0.187029i
$346$	−9.89119	−	3.91384i	−0.531753	−	0.210409i
$347$	−16.4814	−	24.6662i	−0.884769	−	1.32415i	−0.945374	−	0.325989i	$-0.894303\pi$
$347$	−16.4814	−	24.6662i	−0.884769	−	1.32415i	0.0606043	−	0.998162i	$-0.480697\pi$
$348$	8.22035	+	7.71305i	0.440657	+	0.413463i
$349$	31.9917	−	6.36355i	1.71248	−	0.340633i	0.761094	−	0.648642i	$-0.224663\pi$
$349$	31.9917	−	6.36355i	1.71248	−	0.340633i	0.951384	+	0.308009i	$0.0996626\pi$
$350$	4.83254	+	3.11892i	0.258310	+	0.166713i
$351$		−	7.83982i		−	0.418459i
$352$	−0.337211	−	0.287405i	−0.0179734	−	0.0153187i
$353$		−	33.6731i		−	1.79224i	−0.443814	−	0.896119i	$-0.646375\pi$
$353$		−	33.6731i		−	1.79224i	0.443814	−	0.896119i	$-0.353625\pi$
$354$	−5.94989	+	9.21892i	−0.316233	+	0.489980i
$355$	3.20831	−	0.638172i	0.170279	−	0.0338707i
$356$	−0.496395	−	15.5908i	−0.0263089	−	0.826310i
$357$	−1.46249	−	2.18877i	−0.0774031	−	0.115842i
$358$	−2.63141	+	6.65019i	−0.139074	+	0.351473i
$359$	−4.87560	+	11.7707i	−0.257324	+	0.621235i	−0.998760	−	0.0497885i	$-0.984145\pi$
$359$	−4.87560	+	11.7707i	−0.257324	+	0.621235i	0.741436	+	0.671024i	$0.234145\pi$
$360$	−5.83343	+	0.278713i	−0.307449	+	0.0146895i
$361$	−9.46619	−	22.8534i	−0.498220	−	1.20281i
$362$	−0.126699	−	7.96078i	−0.00665917	−	0.418409i
$363$	1.35858	−	6.83004i	0.0713070	−	0.358484i
$364$	−3.49328	−	2.17660i	−0.183097	−	0.114085i
$365$	0.457756	−	0.685080i	0.0239600	−	0.0358587i
$366$	−1.50311	−	2.17386i	−0.0785686	−	0.113629i
$367$	−7.60045	+	7.60045i	−0.396740	+	0.396740i	−0.877082	−	0.480341i	$-0.840513\pi$
$367$	−7.60045	+	7.60045i	−0.396740	+	0.396740i	0.480341	+	0.877082i	$0.340513\pi$
$368$	−28.2820	−	9.65705i	−1.47430	−	0.503408i
$369$	11.4458	+	11.4458i	0.595843	+	0.595843i
$370$	−0.984443	+	5.39659i	−0.0511788	+	0.280555i
$371$	1.09517	+	0.731770i	0.0568584	+	0.0379916i
$372$	4.31564	−	3.08669i	0.223755	−	0.160037i
$373$	19.4325	+	3.86536i	1.00618	+	0.200141i	0.670558	−	0.741857i	$-0.266055\pi$
$373$	19.4325	+	3.86536i	1.00618	+	0.200141i	0.335618	+	0.941998i	$0.391055\pi$
$374$	−0.355171	−	0.344042i	−0.0183654	−	0.0177900i
$375$	−4.35614	+	1.80437i	−0.224950	+	0.0931775i
$376$	−23.4913	−	3.51690i	−1.21147	−	0.181370i
$377$	18.1725	+	7.52729i	0.935931	+	0.387675i
$378$	4.28463	−	1.85518i	0.220378	−	0.0954199i
$379$	−23.2828	+	15.5571i	−1.19596	+	0.799115i	−0.984001	−	0.178164i	$-0.942984\pi$
$379$	−23.2828	+	15.5571i	−1.19596	+	0.799115i	−0.211959	+	0.977279i	$0.567984\pi$
$380$	−4.32852	−	9.57608i	−0.222048	−	0.491243i
$381$	−1.56300	−	7.85771i	−0.0800747	−	0.402563i
$382$	0.386999	+	1.79573i	0.0198006	+	0.0918777i
$383$	26.0613			1.33167			0.665835	−	0.746099i	$-0.268076\pi$
$383$	26.0613			1.33167			0.665835	+	0.746099i	$0.268076\pi$
$384$	−0.796684	−	7.12203i	−0.0406556	−	0.363445i
$385$	0.0579330			0.00295254
$386$	−0.0462344	−	0.214535i	−0.00235327	−	0.0109195i
$387$	−1.23752	−	6.22144i	−0.0629068	−	0.316254i
$388$	−6.09513	−	13.4844i	−0.309433	−	0.684566i
$389$	17.0947	−	11.4223i	0.866737	−	0.579135i	−0.0407720	−	0.999168i	$-0.512982\pi$
$389$	17.0947	−	11.4223i	0.866737	−	0.579135i	0.907509	+	0.420034i	$0.137982\pi$
$390$	1.44386	−	0.625166i	0.0731125	−	0.0316565i
$391$	−30.8140	−	12.7636i	−1.55833	−	0.645481i
$392$	−2.56852	+	17.1566i	−0.129730	+	0.866537i
$393$	0.911172	−	0.377420i	0.0459626	−	0.0190383i
$394$	−12.3103	−	11.9246i	−0.620182	−	0.600751i
$395$	7.80725	+	1.55296i	0.392825	+	0.0781378i
$396$	0.331119	−	0.236827i	0.0166394	−	0.0119010i
$397$	−13.8749	−	9.27088i	−0.696359	−	0.465292i	0.156334	−	0.987704i	$-0.450032\pi$
$397$	−13.8749	−	9.27088i	−0.696359	−	0.465292i	−0.852693	+	0.522412i	$0.825032\pi$
$398$	−6.15183	+	33.7235i	−0.308363	+	1.69041i
$399$	2.75756	+	2.75756i	0.138051	+	0.138051i
$400$	7.70084	+	15.6866i	0.385042	+	0.784331i
$401$	13.1510	−	13.1510i	0.656731	−	0.656731i	−0.297874	−	0.954605i	$-0.596277\pi$
$401$	13.1510	−	13.1510i	0.656731	−	0.656731i	0.954605	+	0.297874i	$0.0962775\pi$
$402$	4.72965	+	6.84022i	0.235893	+	0.341159i
$403$	5.14378	−	7.69820i	0.256230	−	0.383475i
$404$	−21.4026	−	13.3356i	−1.06482	−	0.663471i
$405$	0.860253	−	4.32479i	0.0427463	−	0.214900i
$406$	0.186416	+	11.7129i	0.00925166	+	0.581300i
$407$	−0.146334	−	0.353281i	−0.00725350	−	0.0175115i
$408$	−0.381696	−	7.98884i	−0.0188968	−	0.395507i
$409$	−4.38868	+	10.5952i	−0.217006	+	0.523899i	−0.994469	−	0.105030i	$-0.966506\pi$
$409$	−4.38868	+	10.5952i	−0.217006	+	0.523899i	0.777463	+	0.628929i	$0.216506\pi$
$410$	−2.57504	+	6.50772i	−0.127172	+	0.321393i
$411$	2.02070	+	3.02419i	0.0996737	+	0.149172i
$412$	−1.04633	−	32.8631i	−0.0515489	−	1.61905i
$413$	−11.1834	+	2.22452i	−0.550299	+	0.109461i
$414$	14.8900	−	23.0709i	0.731802	−	1.13387i
$415$			5.00744i			0.245806i
$416$	−5.68871	−	11.1363i	−0.278912	−	0.546004i
$417$		−	12.2513i		−	0.599951i
$418$	0.615490	+	0.397237i	0.0301046	+	0.0194295i
$419$	−34.0450	+	6.77197i	−1.66321	+	0.330832i	−0.935033	−	0.354560i	$-0.884631\pi$
$419$	−34.0450	+	6.77197i	−1.66321	+	0.330832i	−0.728174	+	0.685392i	$0.759631\pi$
$420$	0.683333	+	0.641163i	0.0333432	+	0.0312855i
$421$	−4.93933	−	7.39223i	−0.240728	−	0.360275i	0.691358	−	0.722513i	$-0.257013\pi$
$421$	−4.93933	−	7.39223i	−0.240728	−	0.360275i	−0.932086	+	0.362238i	$0.882013\pi$
$422$	11.8534	+	4.69025i	0.577013	+	0.228318i
$423$	8.35183	−	20.1631i	0.406080	−	0.980364i
$424$	1.70614	+	3.61993i	0.0828577	+	0.175799i
$425$	7.46328	+	18.0180i	0.362022	+	0.873999i
$426$	−3.68769	+	0.0586912i	−0.178669	+	0.00284360i
$427$	0.535826	−	2.69378i	0.0259304	−	0.130361i
$428$	3.50690	+	15.1015i	0.169513	+	0.729959i
$429$	−0.0609330	+	0.0911926i	−0.00294187	+	0.00440282i
$430$	2.25590	−	1.55984i	0.108789	−	0.0752220i
$431$	−23.1336	+	23.1336i	−1.11431	+	1.11431i	−0.121745	+	0.992561i	$0.538849\pi$
$431$	−23.1336	+	23.1336i	−1.11431	+	1.11431i	−0.992561	+	0.121745i	$0.961151\pi$
$432$	14.0610	+	1.87683i	0.676511	+	0.0902989i
$433$	−0.961924	−	0.961924i	−0.0462271	−	0.0462271i	0.683615	−	0.729842i	$-0.260407\pi$
$433$	−0.961924	−	0.961924i	−0.0462271	−	0.0462271i	−0.729842	+	0.683615i	$0.760407\pi$
$434$	5.42443	+	0.989522i	0.260381	+	0.0474986i
$435$	−3.72338	−	2.48788i	−0.178522	−	0.119285i
$436$	−5.37914	+	32.4002i	−0.257614	+	1.55169i
$437$	48.4610	+	9.63950i	2.31820	+	0.461120i
$438$	−0.646345	+	0.667252i	−0.0308836	+	0.0318825i
$439$	20.8397	−	8.63209i	0.994625	−	0.411987i	0.174802	−	0.984604i	$-0.444072\pi$
$439$	20.8397	−	8.63209i	0.994625	−	0.411987i	0.819823	+	0.572616i	$0.194072\pi$
$440$	0.150852	+	0.0906932i	0.00719158	+	0.00432363i
$441$	−14.7259	−	6.09965i	−0.701232	−	0.290460i
$442$	−5.54528	−	12.8072i	−0.263762	−	0.609174i
$443$	30.4748	−	20.3626i	1.44790	−	0.967458i	0.450703	−	0.892674i	$-0.351173\pi$
$443$	30.4748	−	20.3626i	1.44790	−	0.967458i	0.997200	−	0.0747837i	$-0.0238266\pi$
$444$	2.18383	−	5.78656i	0.103640	−	0.274618i
$445$	1.20893	+	6.07770i	0.0573088	+	0.288111i
$446$	19.8529	−	4.27850i	0.940062	−	0.202593i
$447$	5.31177			0.251238
$448$	4.74010	−	5.74425i	0.223949	−	0.271390i
$449$	−15.6259			−0.737431			−0.368715	−	0.929542i	$-0.620202\pi$
$449$	−15.6259			−0.737431			−0.368715	+	0.929542i	$0.620202\pi$
$450$	−15.6957	+	3.38257i	−0.739900	+	0.159456i
$451$	−0.0951761	−	0.478483i	−0.00448167	−	0.0225309i
$452$	18.9640	+	7.15698i	0.891994	+	0.336636i
$453$	−3.41012	+	2.27857i	−0.160221	+	0.107057i
$454$	0.868171	+	2.00509i	0.0407453	+	0.0941035i
$455$	1.51062	+	0.625721i	0.0708192	+	0.0293343i
$456$	2.86350	+	11.4973i	0.134096	+	0.538412i
$457$	−34.6599	+	14.3566i	−1.62132	+	0.671574i	−0.994220	−	0.107362i	$-0.965760\pi$
$457$	−34.6599	+	14.3566i	−1.62132	+	0.671574i	−0.627103	+	0.778936i	$0.715760\pi$
$458$	19.1840	−	19.8045i	0.896408	−	0.925403i
$459$	15.5275	+	3.08860i	0.724759	+	0.144164i
$460$	11.7120	+	1.94445i	0.546074	+	0.0906602i
$461$	2.18684	+	1.46120i	0.101851	+	0.0680548i	0.605453	−	0.795881i	$-0.292992\pi$
$461$	2.18684	+	1.46120i	0.101851	+	0.0680548i	−0.503602	+	0.863936i	$0.667992\pi$
$462$	−0.0642576	−	0.0117218i	−0.00298954	−	0.000545349i
$463$	10.3078	+	10.3078i	0.479045	+	0.479045i	0.904826	−	0.425781i	$-0.140001\pi$
$463$	10.3078	+	10.3078i	0.479045	+	0.479045i	−0.425781	+	0.904826i	$0.640001\pi$
$464$	−17.8509	+	30.7910i	−0.828708	+	1.42944i
$465$	−1.49046	+	1.49046i	−0.0691183	+	0.0691183i
$466$	−2.90544	+	2.00896i	−0.134592	+	0.0930633i
$467$	−6.02523	+	9.01739i	−0.278814	+	0.417275i	−0.944275	−	0.329158i	$-0.893235\pi$
$467$	−6.02523	+	9.01739i	−0.278814	+	0.417275i	0.665461	+	0.746433i	$0.268235\pi$
$468$	11.1920	−	2.59902i	0.517349	−	0.120140i
$469$	−1.68602	+	8.47620i	−0.0778532	+	0.391394i
$470$	9.43500	−	0.150162i	0.435204	−	0.00692647i
$471$	3.75657	+	9.06916i	0.173094	+	0.417885i
$472$	−32.6029	−	11.7150i	−1.50067	−	0.539227i
$473$	−0.0731626	+	0.176630i	−0.00336402	+	0.00812146i
$474$	−8.34536	−	3.30217i	−0.383315	−	0.151674i
$475$	−16.0515	−	24.0228i	−0.736493	−	1.10224i
$476$	5.68718	−	6.06124i	0.260671	−	0.277816i
$477$	−3.60626	+	0.717330i	−0.165119	+	0.0328443i
$478$	9.97761	+	6.43955i	0.456365	+	0.294538i
$479$			31.1948i			1.42533i	0.701506	+	0.712663i	$0.252511\pi$
$479$			31.1948i			1.42533i	−0.701506	+	0.712663i	$0.747489\pi$
$480$	0.775604	+	2.73927i	0.0354013	+	0.125030i
$481$		−	10.7925i		−	0.492094i
$482$	−8.08472	+	12.5267i	−0.368249	+	0.570575i
$483$	−4.32106	+	0.859511i	−0.196615	+	0.0391091i
$484$	21.9766	−	0.699712i	0.998936	−	0.0318051i
$485$	3.26601	+	4.88793i	0.148302	+	0.221950i
$486$	−7.36522	+	18.6136i	−0.334093	+	0.844332i
$487$	−10.8455	+	26.1834i	−0.491458	+	1.18648i	0.462520	+	0.886609i	$0.346945\pi$
$487$	−10.8455	+	26.1834i	−0.491458	+	1.18648i	−0.953978	+	0.299876i	$0.903055\pi$
$488$	5.61230	−	6.17551i	0.254057	−	0.279552i
$489$	3.25804	+	7.86562i	0.147334	+	0.355695i
$490$	−0.109669	−	6.89073i	−0.00495435	−	0.311292i
$491$	3.12805	−	15.7257i	0.141167	−	0.709693i	−0.843760	−	0.536721i	$-0.819663\pi$
$491$	3.12805	−	15.7257i	0.141167	−	0.709693i	0.984927	−	0.172972i	$-0.0553371\pi$
$492$	4.17289	−	6.69716i	0.188129	−	0.301931i
$493$	−22.0678	+	33.0267i	−0.993882	+	1.48745i
$494$	11.7587	+	17.0059i	0.529048	+	0.765131i
$495$	−0.114356	+	0.114356i	−0.00513992	+	0.00513992i
$496$	12.5756	+	11.0685i	0.564662	+	0.496990i
$497$	−2.71019	−	2.71019i	−0.121569	−	0.121569i
$498$	1.01318	−	5.55411i	0.0454016	−	0.248886i
$499$	−15.3516	−	10.2576i	−0.687232	−	0.459194i	0.162293	−	0.986743i	$-0.448111\pi$
$499$	−15.3516	−	10.2576i	−0.687232	−	0.459194i	−0.849525	+	0.527549i	$0.823111\pi$
$500$	−8.66070	−	12.1089i	−0.387318	−	0.541527i
$501$	5.69422	+	1.13265i	0.254399	+	0.0506031i
$502$	−16.2291	−	15.7206i	−0.724342	−	0.701646i
$503$	−29.9129	+	12.3903i	−1.33375	+	0.552457i	−0.931723	−	0.363171i	$-0.881694\pi$
$503$	−29.9129	+	12.3903i	−1.33375	+	0.552457i	−0.402027	+	0.915628i	$0.631694\pi$
$504$	4.06883	+	5.50164i	0.181240	+	0.245062i
$505$	9.25528	+	3.83366i	0.411855	+	0.170596i
$506$	−0.759451	+	0.328830i	−0.0337617	+	0.0146183i
$507$	4.27302	−	2.85514i	0.189771	−	0.126801i
$508$	23.0506	−	10.4192i	1.02271	−	0.462277i
$509$	−6.36934	−	32.0209i	−0.282316	−	1.41930i	−0.818164	−	0.574985i	$-0.805008\pi$
$509$	−6.36934	−	32.0209i	−0.282316	−	1.41930i	0.535848	−	0.844315i	$-0.319992\pi$
$510$	0.669369	+	3.10598i	0.0296402	+	0.137535i
$511$	−0.965400			−0.0427068
$512$	21.3353	−	7.53692i	0.942896	−	0.333088i
$513$	−23.4538			−1.03551
$514$	0.149800	+	0.695096i	0.00660740	+	0.0306594i
$515$	2.54825	+	12.8109i	0.112289	+	0.564516i
$516$	−2.81779	+	1.27368i	−0.124046	+	0.0560706i
$517$	−0.546916	+	0.365438i	−0.0240533	+	0.0160719i
$518$	5.89832	−	2.55387i	0.259157	−	0.112211i
$519$	−4.40184	−	1.82330i	−0.193219	−	0.0800340i
$520$	2.95396	+	3.99418i	0.129540	+	0.175156i
$521$	−18.6410	+	7.72136i	−0.816677	+	0.338279i	−0.751615	−	0.659602i	$-0.770725\pi$
$521$	−18.6410	+	7.72136i	−0.816677	+	0.338279i	−0.0650626	+	0.997881i	$0.520725\pi$
$522$	−23.4884	−	22.7525i	−1.02806	−	0.995849i
$523$	−8.92581	−	1.77545i	−0.390298	−	0.0776352i	−0.00395965	−	0.999992i	$-0.501260\pi$
$523$	−8.92581	−	1.77545i	−0.390298	−	0.0776352i	−0.386339	+	0.922357i	$0.626260\pi$
$524$	1.81155	+	2.53282i	0.0791381	+	0.110647i
$525$	2.14200	+	1.43124i	0.0934847	+	0.0624645i
$526$	7.19771	−	39.4569i	0.313835	−	1.72040i
$527$	13.2205	+	13.2205i	0.575895	+	0.575895i
$528$	−0.148970	−	0.131117i	−0.00648310	−	0.00570613i
$529$	−23.2077	+	23.2077i	−1.00903	+	1.00903i
$530$	−0.904160	−	1.30763i	−0.0392742	−	0.0568000i
$531$	17.6842	−	26.4663i	0.767431	−	1.14854i
$532$	−6.51157	+	10.4506i	−0.282313	+	0.453089i
$533$	2.68623	−	13.5046i	0.116354	−	0.584949i
$534$	−0.111182	−	6.98582i	−0.00481133	−	0.302306i
$535$	−2.35691	−	5.69007i	−0.101898	−	0.246003i
$536$	−17.6596	+	19.4318i	−0.762778	+	0.839324i
$537$	−1.22587	+	2.95951i	−0.0529001	+	0.127712i
$538$	3.60717	−	9.11616i	0.155516	−	0.393025i
$539$	0.266893	+	0.399433i	0.0114959	+	0.0172048i
$540$	−5.63259	+	0.179336i	−0.242388	+	0.00771739i
$541$	11.9947	−	2.38590i	0.515694	−	0.102578i	0.0696193	−	0.997574i	$-0.477822\pi$
$541$	11.9947	−	2.38590i	0.515694	−	0.102578i	0.446075	+	0.894996i	$0.352822\pi$
$542$	1.86595	−	2.89116i	0.0801495	−	0.124186i
$543$		−	3.56611i		−	0.153036i
$544$	24.2976	−	6.87969i	1.04175	−	0.294964i
$545$		−	13.0475i		−	0.558895i
$546$	−1.54894	−	0.999684i	−0.0662884	−	0.0427825i
$547$	18.4104	−	3.66207i	0.787174	−	0.156579i	0.214894	−	0.976637i	$-0.431059\pi$
$547$	18.4104	−	3.66207i	0.787174	−	0.156579i	0.572279	+	0.820059i	$0.306059\pi$
$548$	−7.85789	+	8.37472i	−0.335672	+	0.357750i
$549$	4.25965	+	6.37502i	0.181798	+	0.272079i
$550$	0.449970	+	0.178049i	0.0191868	+	0.00759202i
$551$	22.5188	−	54.3652i	0.959333	−	2.31603i
$552$	−12.5972	−	4.52646i	−0.536171	−	0.192659i
$553$	−3.56924	−	8.61691i	−0.151780	−	0.366428i
$554$	−27.0528	+	0.430558i	−1.14936	+	0.0182926i
$555$	−0.479344	+	2.40983i	−0.0203470	+	0.102291i
$556$	37.6799	−	8.75010i	1.59798	−	0.371087i
$557$	−13.1089	+	19.6188i	−0.555442	+	0.831277i	−0.997850	−	0.0655364i	$-0.979124\pi$
$557$	−13.1089	+	19.6188i	−0.555442	+	0.831277i	0.442409	+	0.896814i	$0.354124\pi$
$558$	−12.6607	+	8.75422i	−0.535971	+	0.370596i
$559$	−3.81548	+	3.81548i	−0.161378	+	0.161378i
$560$	−1.48389	+	2.55957i	−0.0627060	+	0.108161i
$561$	−0.156610	−	0.156610i	−0.00661206	−	0.00661206i
$562$	10.1775	+	1.85657i	0.429311	+	0.0783146i
$563$	7.15885	+	4.78339i	0.301710	+	0.201596i	0.697205	−	0.716872i	$-0.254427\pi$
$563$	7.15885	+	4.78339i	0.301710	+	0.201596i	−0.395495	+	0.918468i	$0.629427\pi$
$564$	−10.4954	−	1.74247i	−0.441937	−	0.0733712i
$565$	−7.89763	−	1.57094i	−0.332256	−	0.0660898i
$566$	−9.54765	+	9.85647i	−0.401318	+	0.414298i
$567$	−4.77330	+	1.97716i	−0.200460	+	0.0830331i
$568$	−2.81431	−	11.2998i	−0.118086	−	0.474130i
$569$	−1.38195	−	0.572423i	−0.0579344	−	0.0239972i	0.353528	−	0.935424i	$-0.384982\pi$
$569$	−1.38195	−	0.572423i	−0.0579344	−	0.0239972i	−0.411462	+	0.911427i	$0.634982\pi$
$570$	−1.87026	−	4.31947i	−0.0783365	−	0.180923i
$571$	4.83659	−	3.23171i	0.202405	−	0.135243i	−0.450237	−	0.892909i	$-0.648661\pi$
$571$	4.83659	−	3.23171i	0.202405	−	0.135243i	0.652642	+	0.757666i	$0.273661\pi$
$572$	−0.323989	−	0.122272i	−0.0135466	−	0.00511247i
$573$	0.160517	+	0.806971i	0.00670567	+	0.0337117i
$574$	8.01621	−	1.72757i	0.334590	−	0.0721076i
$575$	32.6402			1.36119
$576$	1.98212	+	20.6954i	0.0825884	+	0.862309i
$577$	29.0642			1.20996			0.604980	−	0.796241i	$-0.293181\pi$
$577$	29.0642			1.20996			0.604980	+	0.796241i	$0.293181\pi$
$578$	4.04827	−	0.872444i	0.168386	−	0.0362889i
$579$	−0.0191768	−	0.0964081i	−0.000796959	−	0.00400658i
$580$	4.99236	−	13.2284i	0.207296	−	0.549279i
$581$	4.87837	−	3.25962i	0.202389	−	0.135232i
$582$	−2.63357	−	6.08238i	−0.109165	−	0.252123i
$583$	0.102384	+	0.0424087i	0.00424030	+	0.00175639i
$584$	−2.51381	−	1.51132i	−0.104022	−	0.0625388i
$585$	−4.21701	+	1.74674i	−0.174352	+	0.0722189i
$586$	8.87009	−	9.15700i	0.366420	−	0.378272i
$587$	23.8821	+	4.75045i	0.985720	+	0.196072i	0.661529	−	0.749920i	$-0.269908\pi$
$587$	23.8821	+	4.75045i	0.985720	+	0.196072i	0.324191	+	0.945992i	$0.394908\pi$
$588$	−1.27259	+	7.66520i	−0.0524808	+	0.316107i
$589$	−23.0301	−	15.3882i	−0.948939	−	0.634061i
$590$	13.5392	+	2.46982i	0.557402	+	0.101681i
$591$	−5.42811	−	5.42811i	−0.223283	−	0.223283i
$592$	19.3567	+	2.58368i	0.795555	+	0.106189i
$593$	14.2745	−	14.2745i	0.586184	−	0.586184i	−0.350412	−	0.936596i	$-0.613958\pi$
$593$	14.2745	−	14.2745i	0.586184	−	0.586184i	0.936596	+	0.350412i	$0.113958\pi$
$594$	0.323113	−	0.223415i	0.0132575	−	0.00916684i
$595$	−1.83443	+	2.74541i	−0.0752042	+	0.112551i
$596$	3.79375	+	16.3367i	0.155398	+	0.669178i
$597$	−2.99544	+	15.0591i	−0.122595	+	0.616329i
$598$	−23.3546	+	0.371699i	−0.955040	+	0.0151999i
$599$	4.20762	+	10.1581i	0.171919	+	0.415048i	0.986230	−	0.165380i	$-0.0528851\pi$
$599$	4.20762	+	10.1581i	0.171919	+	0.415048i	−0.814311	+	0.580428i	$0.802885\pi$
$600$	3.33699	+	7.08009i	0.136232	+	0.289043i
$601$	−3.87269	+	9.34950i	−0.157970	+	0.381374i	−0.982972	−	0.183756i	$-0.941174\pi$
$601$	−3.87269	+	9.34950i	−0.157970	+	0.381374i	0.825001	+	0.565131i	$0.191174\pi$
$602$	−2.98812	−	1.18237i	−0.121787	−	0.0481898i
$603$	−13.4034	−	20.0595i	−0.545827	−	0.816888i
$604$	−9.44346	−	8.86067i	−0.384249	−	0.360536i
$605$	−8.56705	+	1.70409i	−0.348300	+	0.0692812i
$606$	−9.49001	−	6.12485i	−0.385505	−	0.248805i
$607$		−	11.7468i		−	0.476790i	−0.971168	−	0.238395i	$-0.923379\pi$
$607$		−	11.7468i		−	0.476790i	0.971168	−	0.238395i	$-0.0766212\pi$
$608$	−33.3157	+	17.0185i	−1.35113	+	0.690190i
$609$			5.24690i			0.212615i
$610$	−1.79765	+	2.78532i	−0.0727846	+	0.112775i
$611$	−18.2081	+	3.62181i	−0.736619	+	0.146523i
$612$	0.738365	+	23.1906i	0.0298466	+	0.937425i
$613$	−4.23332	−	6.33562i	−0.170982	−	0.255893i	0.736075	−	0.676900i	$-0.236677\pi$
$613$	−4.23332	−	6.33562i	−0.170982	−	0.255893i	−0.907058	+	0.421007i	$0.861677\pi$
$614$	7.86426	−	19.8748i	0.317376	−	0.802082i
$615$	−1.19961	+	2.89611i	−0.0483728	+	0.116782i
$616$	−0.00984243	−	0.206001i	−0.000396563	−	0.00830001i
$617$	5.69105	+	13.7394i	0.229113	+	0.553128i	0.996070	−	0.0885706i	$-0.0282299\pi$
$617$	5.69105	+	13.7394i	0.229113	+	0.553128i	−0.766957	+	0.641699i	$0.778230\pi$
$618$	−0.234356	−	14.7251i	−0.00942720	−	0.592330i
$619$	6.79342	−	34.1528i	0.273051	−	1.37272i	−0.564083	−	0.825718i	$-0.690770\pi$
$619$	6.79342	−	34.1528i	0.273051	−	1.37272i	0.837133	−	0.546999i	$-0.184230\pi$
$620$	−5.64851	−	3.51950i	−0.226850	−	0.141346i
$621$	14.7207	−	22.0310i	0.590720	−	0.884076i
$622$	−3.71120	−	5.36729i	−0.148805	−	0.215209i
$623$	5.13408	−	5.13408i	0.205693	−	0.205693i
$624$	−2.46829	−	5.02791i	−0.0988108	−	0.201278i
$625$	−11.2638	−	11.2638i	−0.450553	−	0.450553i
$626$	−5.25850	+	28.8265i	−0.210172	+	1.15214i
$627$	0.272814	+	0.182288i	0.0108951	+	0.00727989i
$628$	−25.2098	+	18.0309i	−1.00598	+	0.719512i
$629$	21.3754	+	4.25184i	0.852294	+	0.169532i
$630$	−1.95252	−	1.89135i	−0.0777904	−	0.0753530i
$631$	22.6667	−	9.38886i	0.902348	−	0.373765i	0.117225	−	0.993105i	$-0.462600\pi$
$631$	22.6667	−	9.38886i	0.902348	−	0.373765i	0.785122	+	0.619341i	$0.212600\pi$
$632$	4.19568	−	28.0252i	0.166895	−	1.11478i
$633$	5.27506	+	2.18500i	0.209665	+	0.0868460i
$634$	7.72631	−	3.34537i	0.306851	−	0.132861i
$635$	−8.35558	+	5.58302i	−0.331581	+	0.221555i
$636$	0.738289	+	1.63333i	0.0292751	+	0.0647659i
$637$	2.64514	+	13.2980i	0.104804	+	0.526887i
$638$	0.207639	+	0.963475i	0.00822049	+	0.0381444i
$639$	10.6995			0.423265
$640$	−7.87088	+	4.34185i	−0.311124	+	0.171627i
$641$	8.35272			0.329913			0.164956	−	0.986301i	$-0.447252\pi$
$641$	8.35272			0.329913			0.164956	+	0.986301i	$0.447252\pi$
$642$	1.46291	+	6.78815i	0.0577366	+	0.267907i
$643$	6.43579	+	32.3549i	0.253803	+	1.27595i	0.871835	+	0.489800i	$0.162930\pi$
$643$	6.43579	+	32.3549i	0.253803	+	1.27595i	−0.618032	+	0.786153i	$0.712070\pi$
$644$	−5.72965	−	12.6758i	−0.225780	−	0.499498i
$645$	1.02142	−	0.682488i	0.0402182	−	0.0268729i
$646$	−38.3141	+	16.5894i	−1.50745	+	0.652701i
$647$	−28.0926	−	11.6363i	−1.10443	−	0.457471i	−0.245416	−	0.969418i	$-0.578924\pi$
$647$	−28.0926	−	11.6363i	−1.10443	−	0.457471i	−0.859017	+	0.511947i	$0.828924\pi$
$648$	−15.5244	−	2.32417i	−0.609857	−	0.0913022i
$649$	−0.886330	+	0.367130i	−0.0347915	+	0.0144111i
$650$	9.81008	+	9.50271i	0.384783	+	0.372727i
$651$	2.42226	+	0.481818i	0.0949359	+	0.0188839i
$652$	−21.8643	+	15.6381i	−0.856272	+	0.612435i
$653$	0.322282	+	0.215342i	0.0126119	+	0.00842699i	0.561860	−	0.827232i	$-0.310086\pi$
$653$	0.322282	+	0.215342i	0.0126119	+	0.00842699i	−0.549248	+	0.835659i	$0.685086\pi$
$654$	−2.63997	+	14.4720i	−0.103231	+	0.565899i
$655$	−0.874738	−	0.874738i	−0.0341789	−	0.0341789i
$656$	23.5779	+	8.05081i	0.920563	+	0.314331i
$657$	1.90564	−	1.90564i	0.0743460	−	0.0743460i
$658$	−6.28806	−	9.09405i	−0.245134	−	0.354523i
$659$	−9.34933	+	13.9923i	−0.364198	+	0.545061i	−0.967636	−	0.252349i	$-0.918797\pi$
$659$	−9.34933	+	13.9923i	−0.364198	+	0.545061i	0.603438	+	0.797410i	$0.293797\pi$
$660$	0.0669121	+	0.0416918i	0.00260455	+	0.00162285i
$661$	−4.92746	+	24.7720i	−0.191656	+	0.963520i	0.758483	+	0.651693i	$0.225941\pi$
$661$	−4.92746	+	24.7720i	−0.191656	+	0.963520i	−0.950139	+	0.311827i	$0.899059\pi$
$662$	0.586546	+	36.8538i	0.0227967	+	1.43237i
$663$	−2.39215	−	5.77516i	−0.0929034	−	0.224289i
$664$	17.8057	−	0.850731i	0.690994	−	0.0330148i
$665$	1.87192	−	4.51922i	0.0725900	−	0.175248i
$666$	−6.60171	+	16.6841i	−0.255811	+	0.646494i
$667$	36.9335	+	55.2749i	1.43007	+	2.14025i
$668$	0.583351	+	18.3219i	0.0225705	+	0.708897i
$669$	8.92154	−	1.77461i	0.344927	−	0.0686102i
$670$	5.65645	−	8.76426i	0.218528	−	0.338593i
$671$		−	0.231083i		−	0.00892086i
$672$	2.16378	−	2.53876i	0.0834697	−	0.0979346i
$673$		−	0.530719i		−	0.0204577i	−0.999948	−	0.0102289i	$-0.996744\pi$
$673$		−	0.530719i		−	0.0204577i	0.999948	−	0.0102289i	$-0.00325600\pi$
$674$	−24.9632	−	16.1112i	−0.961545	−	0.620581i
$675$	−15.1957	+	3.02261i	−0.584883	+	0.116340i
$676$	11.8330	+	11.1028i	0.455117	+	0.427030i
$677$	−3.06951	−	4.59384i	−0.117971	−	0.176556i	0.767785	−	0.640708i	$-0.221359\pi$
$677$	−3.06951	−	4.59384i	−0.117971	−	0.176556i	−0.885755	+	0.464152i	$0.846359\pi$
$678$	8.44197	+	3.34040i	0.324212	+	0.128287i
$679$	2.63591	−	6.36365i	0.101157	−	0.244215i
$680$	−9.07457	+	4.27703i	−0.347994	+	0.164016i
$681$	0.374516	+	0.904160i	0.0143515	+	0.0346475i
$682$	0.463861	−	0.00738256i	0.0177622	−	0.000282693i
$683$	−2.76547	+	13.9029i	−0.105818	+	0.531981i	0.891119	+	0.453769i	$0.149921\pi$
$683$	−2.76547	+	13.9029i	−0.105818	+	0.531981i	−0.996937	+	0.0782118i	$0.975079\pi$
$684$	−7.77529	−	33.4821i	−0.297296	−	1.28022i
$685$	2.53460	−	3.79330i	0.0968421	−	0.144934i
$686$	−14.2219	+	9.83371i	−0.542996	+	0.375453i
$687$	8.73263	−	8.73263i	0.333171	−	0.333171i
$688$	−5.92980	−	7.75663i	−0.226072	−	0.295719i
$689$	2.21165	+	2.21165i	0.0842570	+	0.0842570i
$690$	5.23131	+	0.954292i	0.199152	+	0.0363293i
$691$	−11.1224	−	7.43176i	−0.423117	−	0.282717i	0.325727	−	0.945464i	$-0.394391\pi$
$691$	−11.1224	−	7.43176i	−0.423117	−	0.282717i	−0.748844	+	0.662746i	$0.769391\pi$
$692$	2.46383	−	14.8404i	0.0936607	−	0.564147i
$693$	0.185849	+	0.0369676i	0.00705982	+	0.00140428i
$694$	29.1899	−	30.1341i	1.10803	−	1.14388i
$695$	−14.1973	+	5.88073i	−0.538536	+	0.223069i
$696$	−8.21394	+	13.6624i	−0.311348	+	0.517873i
$697$	25.6888	+	10.6406i	0.973031	+	0.403043i
$698$	18.3290	+	42.3318i	0.693761	+	1.60228i
$699$	−1.31551	+	0.878997i	−0.0497572	+	0.0332467i
$700$	−2.87203	+	7.61010i	−0.108553	+	0.287635i
$701$	0.624967	+	3.14192i	0.0236047	+	0.118669i	0.990791	−	0.135399i	$-0.0432315\pi$
$701$	0.624967	+	3.14192i	0.0236047	+	0.118669i	−0.967187	+	0.254067i	$0.918232\pi$
$702$	10.8383	−	2.33577i	0.409067	−	0.0881581i
$703$	−32.2869			−1.21773
$704$	0.296862	−	0.551814i	0.0111884	−	0.0207973i
$705$	4.22650			0.159179
$706$	46.5522	−	10.0325i	1.75201	−	0.377577i
$707$	−2.28993	−	11.5123i	−0.0861217	−	0.432963i
$708$	−14.5176	−	5.47891i	−0.545605	−	0.205910i
$709$	−2.84972	+	1.90412i	−0.107023	+	0.0715107i	−0.607930	−	0.793991i	$-0.708000\pi$
$709$	−2.84972	+	1.90412i	−0.107023	+	0.0715107i	0.500907	+	0.865501i	$0.333000\pi$
$710$	1.83813	+	4.24527i	0.0689838	+	0.159322i
$711$	24.0547	+	9.96377i	0.902121	+	0.373671i
$712$	21.4060	−	5.33133i	0.802222	−	0.199800i
$713$	28.9095	−	11.9747i	1.08267	−	0.448457i
$714$	2.59019	−	2.67397i	0.0969353	−	0.100071i
$715$	0.134926	+	0.0268384i	0.00504594	+	0.00100370i
$716$	−9.97771	−	1.65652i	−0.372884	−	0.0619070i
$717$	4.42254	+	2.95505i	0.165163	+	0.110358i
$718$	−17.7253	−	3.23345i	−0.661504	−	0.120671i
$719$	9.77983	+	9.77983i	0.364726	+	0.364726i	0.865549	−	0.500823i	$-0.166969\pi$
$719$	9.77983	+	9.77983i	0.364726	+	0.364726i	−0.500823	+	0.865549i	$0.666969\pi$
$720$	−2.12331	−	7.98153i	−0.0791311	−	0.297454i
$721$	10.8219	−	10.8219i	0.403028	−	0.403028i
$722$	28.7739	−	19.8956i	1.07085	−	0.740438i
$723$	−3.71000	+	5.55240i	−0.137976	+	0.206496i
$724$	10.9678	−	2.54697i	0.407616	−	0.0946574i
$725$	7.58360	−	38.1253i	0.281648	−	1.41594i
$726$	9.84713	−	0.156721i	0.365461	−	0.00581648i
$727$	−10.3584	−	25.0074i	−0.384172	−	0.927474i	−0.991149	−	0.132754i	$-0.957618\pi$
$727$	−10.3584	−	25.0074i	−0.384172	−	0.927474i	0.606977	−	0.794720i	$-0.292382\pi$
$728$	1.96832	−	5.47785i	0.0729509	−	0.203023i
$729$	2.94038	−	7.09871i	0.108903	−	0.262915i
$730$	1.08349	+	0.428725i	0.0401017	+	0.0158678i
$731$	−6.05374	−	9.06006i	−0.223906	−	0.335099i
$732$	2.55747	−	2.72568i	0.0945267	−	0.100744i
$733$	−28.0369	+	5.57688i	−1.03557	+	0.205987i	−0.683471	−	0.729978i	$-0.739530\pi$
$733$	−28.0369	+	5.57688i	−1.03557	+	0.205987i	−0.352094	+	0.935964i	$0.614530\pi$
$734$	−12.7719	−	8.24297i	−0.471419	−	0.304253i
$735$		−	3.08677i		−	0.113857i
$736$	4.92436	−	41.9763i	0.181514	−	1.54727i
$737$			0.727122i			0.0267839i
$738$	−12.4134	+	19.2336i	−0.456942	+	0.707998i
$739$	17.0617	−	3.39378i	0.627624	−	0.124842i	0.128977	−	0.991648i	$-0.458831\pi$
$739$	17.0617	−	3.39378i	0.627624	−	0.124842i	0.498647	+	0.866805i	$0.333831\pi$
$740$	−7.75395	+	0.246878i	−0.285041	+	0.00907540i
$741$	5.14487	+	7.69984i	0.189001	+	0.282861i
$742$	−0.685360	+	1.73207i	−0.0251604	+	0.0635861i
$743$	−11.8271	+	28.5530i	−0.433893	+	1.04751i	0.544128	+	0.839002i	$0.316861\pi$
$743$	−11.8271	+	28.5530i	−0.433893	+	1.04751i	−0.978021	+	0.208507i	$0.933139\pi$
$744$	5.55305	+	5.04662i	0.203585	+	0.185018i
$745$	−2.54969	−	6.15549i	−0.0934134	−	0.225520i
$746$	0.445896	+	28.0165i	0.0163254	+	1.02576i
$747$	−3.19530	+	16.0638i	−0.116910	+	0.587746i
$748$	0.369811	−	0.593517i	0.0135216	−	0.0217011i
$749$	−4.00916	+	6.00014i	−0.146492	+	0.219240i
$750$	−3.79236	−	5.48467i	−0.138477	−	0.200272i
$751$	−4.92726	+	4.92726i	−0.179798	+	0.179798i	−0.791268	−	0.611470i	$-0.790579\pi$
$751$	−4.92726	+	4.92726i	−0.179798	+	0.179798i	0.611470	+	0.791268i	$0.290579\pi$
$752$	−2.13690	−	33.5239i	−0.0779247	−	1.22249i
$753$	−7.15611	−	7.15611i	−0.260783	−	0.260783i
$754$	−4.99202	+	27.3656i	−0.181799	+	0.996598i
$755$	4.27738	+	2.85805i	0.155670	+	0.104015i
$756$	3.84128	+	5.37067i	0.139706	+	0.195329i
$757$	−41.6002	−	8.27479i	−1.51198	−	0.300752i	−0.631705	−	0.775209i	$-0.717645\pi$
$757$	−41.6002	−	8.27479i	−1.51198	−	0.300752i	−0.880279	+	0.474456i	$0.842645\pi$
$758$	−28.4441	−	27.5529i	−1.03314	−	1.00077i
$759$	−0.342461	+	0.141852i	−0.0124306	+	0.00514890i
$760$	11.9491	−	8.83714i	0.433438	−	0.320557i
$761$	−29.3553	−	12.1594i	−1.06413	−	0.440777i	−0.219214	−	0.975677i	$-0.570349\pi$
$761$	−29.3553	−	12.1594i	−1.06413	−	0.440777i	−0.844915	+	0.534900i	$0.820349\pi$
$762$	10.3974	−	4.50190i	0.376658	−	0.163087i
$763$	−12.7112	+	8.49337i	−0.460177	+	0.307481i
$764$	−2.36725	+	1.07003i	−0.0856442	+	0.0387124i
$765$	−1.79823	−	9.04030i	−0.0650151	−	0.326853i
$766$	7.76462	+	36.0291i	0.280547	+	1.30178i
$767$	−27.0767			−0.977682
$768$	9.60866	−	3.22331i	0.346723	−	0.116311i
$769$	27.7099			0.999245			0.499623	−	0.866243i	$-0.333472\pi$
$769$	27.7099			0.999245			0.499623	+	0.866243i	$0.333472\pi$
$770$	0.0172604	+	0.0800908i	0.000622021	+	0.00288627i
$771$	0.0621330	+	0.312364i	0.00223767	+	0.0112495i
$772$	0.282814	−	0.127836i	0.0101787	−	0.00460090i
$773$	−4.99174	+	3.33537i	−0.179540	+	0.119965i	−0.642093	−	0.766627i	$-0.721934\pi$
$773$	−4.99174	+	3.33537i	−0.179540	+	0.119965i	0.462553	+	0.886592i	$0.346934\pi$
$774$	8.23228	−	3.56444i	0.295903	−	0.128121i
$775$	−16.9044	−	7.00202i	−0.607223	−	0.251520i
$776$	16.8258	−	12.4439i	0.604013	−	0.446708i
$777$	2.65974	−	1.10170i	0.0954177	−	0.0395233i
$778$	20.8842	+	20.2299i	0.748735	+	0.725276i
$779$	−40.4006	−	8.03618i	−1.44750	−	0.287926i
$780$	1.29445	+	1.80983i	0.0463489	+	0.0648024i
$781$	−0.268127	−	0.179157i	−0.00959435	−	0.00641074i
$782$	8.46467	−	46.4022i	0.302696	−	1.65934i
$783$	−22.3131	−	22.3131i	−0.797406	−	0.797406i
$784$	−24.4837	+	1.56066i	−0.874420	+	0.0557377i
$785$	8.70652	−	8.70652i	0.310749	−	0.310749i
$786$	0.793245	+	1.14722i	0.0282941	+	0.0409201i
$787$	−21.3968	+	32.0226i	−0.762714	+	1.14148i	0.223288	+	0.974752i	$0.428321\pi$
$787$	−21.3968	+	32.0226i	−0.762714	+	1.14148i	−0.986003	+	0.166730i	$0.946679\pi$
$788$	12.8177	−	20.5714i	0.456612	−	0.732825i
$789$	3.50470	−	17.6193i	0.124771	−	0.627265i
$790$	0.179144	+	11.2560i	0.00637367	+	0.400471i
$791$	3.61056	+	8.71667i	0.128377	+	0.309929i
$792$	0.426060	+	0.387204i	0.0151394	+	0.0137587i
$793$	2.49587	−	6.02557i	0.0886311	−	0.213974i
$794$	8.68291	−	21.9438i	0.308145	−	0.778755i
$795$	−0.395604	−	0.592064i	−0.0140306	−	0.0209983i
$796$	−48.4548	+	1.54275i	−1.71743	+	0.0546813i
$797$	19.9075	−	3.95984i	0.705159	−	0.140265i	0.170531	−	0.985352i	$-0.445452\pi$
$797$	19.9075	−	3.95984i	0.705159	−	0.140265i	0.534628	+	0.845088i	$0.320452\pi$
$798$	−2.99067	+	4.63383i	−0.105869	+	0.164036i
$799$		−	37.4895i		−	1.32628i
$800$	−19.3920	+	15.3198i	−0.685610	+	0.541638i
$801$			20.2687i			0.716158i
$802$	22.0991	+	14.2628i	0.780348	+	0.503636i
$803$	−0.0796639	+	0.0158461i	−0.00281128	+	0.000559198i
$804$	−8.04728	+	8.57657i	−0.283806	+	0.302472i
$805$	3.07017	+	4.59484i	0.108209	+	0.161947i
$806$	12.1751	+	4.81755i	0.428849	+	0.169691i
$807$	1.68043	−	4.05693i	0.0591541	−	0.142811i
$808$	12.0595	−	33.5616i	0.424252	−	1.18069i
$809$	3.73336	+	9.01314i	0.131258	+	0.316885i	0.975821	−	0.218571i	$-0.0701396\pi$
$809$	3.73336	+	9.01314i	0.131258	+	0.316885i	−0.844563	+	0.535456i	$0.820140\pi$
$810$	6.23520	−	0.0992361i	0.219083	−	0.00348680i
$811$	−9.93194	+	49.9313i	−0.348758	+	1.75332i	0.265398	+	0.964139i	$0.414496\pi$
$811$	−9.93194	+	49.9313i	−0.348758	+	1.75332i	−0.614156	+	0.789185i	$0.710504\pi$
$812$	−16.1372	+	3.74742i	−0.566305	+	0.131509i
$813$	0.856267	−	1.28149i	0.0300306	−	0.0449440i
$814$	0.444804	−	0.307558i	0.0155904	−	0.0107799i
$815$	7.55110	−	7.55110i	0.264504	−	0.264504i
$816$	10.9306	−	2.90786i	0.382649	−	0.101795i
$817$	11.4145	+	11.4145i	0.399342	+	0.399342i
$818$	−15.9551	−	2.91053i	−0.557858	−	0.101764i
$819$	4.44680	+	2.97126i	0.155384	+	0.103824i
$820$	−9.76395	−	1.62103i	−0.340972	−	0.0566088i
$821$	−41.5441	−	8.26364i	−1.44990	−	0.288403i	−0.593549	−	0.804798i	$-0.702274\pi$
$821$	−41.5441	−	8.26364i	−1.44990	−	0.288403i	−0.856350	+	0.516395i	$0.827274\pi$
$822$	−3.57882	+	3.69458i	−0.124826	+	0.128863i
$823$	−15.1760	+	6.28610i	−0.529001	+	0.219120i	−0.631166	−	0.775648i	$-0.717423\pi$
$823$	−15.1760	+	6.28610i	−0.529001	+	0.219120i	0.102164	+	0.994768i	$0.467423\pi$
$824$	45.1207	−	11.2377i	1.57185	−	0.391482i
$825$	0.200248	+	0.0829456i	0.00697176	+	0.00288780i
$826$	−6.40728	−	14.7980i	−0.222938	−	0.514888i
$827$	9.22561	−	6.16435i	0.320806	−	0.214356i	−0.384731	−	0.923029i	$-0.625706\pi$
$827$	9.22561	−	6.16435i	0.320806	−	0.214356i	0.705537	+	0.708673i	$0.250706\pi$
$828$	36.3312	+	13.7113i	1.26260	+	0.476501i
$829$	−2.51090	−	12.6231i	−0.0872070	−	0.438419i	−0.999578	−	0.0290546i	$-0.990750\pi$
$829$	−2.51090	−	12.6231i	−0.0872070	−	0.438419i	0.912371	−	0.409365i	$-0.134250\pi$
$830$	−6.92265	+	1.49190i	−0.240289	+	0.0517847i
$831$	−12.1186			−0.420388
$832$	13.7008	−	11.1824i	0.474990	−	0.387681i
$833$	−27.3800			−0.948661
$834$	16.9372	−	3.65013i	0.586486	−	0.126394i
$835$	−1.42071	−	7.14237i	−0.0491655	−	0.247172i
$836$	−0.365793	+	0.969251i	−0.0126512	+	0.0335222i
$837$	−12.3500	+	8.25199i	−0.426878	+	0.285230i
$838$	−19.5053	−	45.0487i	−0.673801	−	1.55618i
$839$	40.8308	+	16.9127i	1.40963	+	0.583890i	0.952233	−	0.305371i	$-0.0987805\pi$
$839$	40.8308	+	16.9127i	1.40963	+	0.583890i	0.457401	+	0.889261i	$0.348780\pi$
$840$	−0.682800	+	1.13572i	−0.0235588	+	0.0391859i
$841$	46.3524	−	19.1998i	1.59836	−	0.662061i
$842$	8.74795	−	9.03091i	0.301474	−	0.311226i
$843$	4.54471	+	0.903999i	0.156528	+	0.0311354i
$844$	−2.95260	+	17.7844i	−0.101633	+	0.612163i
$845$	−5.35973	−	3.58126i	−0.184380	−	0.123199i
$846$	30.3633	+	5.53885i	1.04391	+	0.190430i
$847$	7.23694	+	7.23694i	0.248664	+	0.248664i
$848$	−4.49613	+	3.43721i	−0.154398	+	0.118034i
$849$	−4.34613	+	4.34613i	−0.149159	+	0.149159i
$850$	−22.6858	+	15.6860i	−0.778115	+	0.538026i
$851$	20.2648	−	30.3284i	0.694668	−	1.03964i
$852$	−1.17984	−	5.08065i	−0.0404206	−	0.174060i
$853$	−5.80574	+	29.1874i	−0.198785	+	0.999359i	0.744563	+	0.667553i	$0.232658\pi$
$853$	−5.80574	+	29.1874i	−0.198785	+	0.999359i	−0.943347	+	0.331806i	$0.892342\pi$
$854$	3.88372	−	0.0618111i	0.132898	−	0.00211513i
$855$	5.22559	+	12.6157i	0.178711	+	0.431447i
$856$	−19.8326	+	9.34750i	−0.677864	+	0.319491i
$857$	3.96712	−	9.57747i	0.135514	−	0.327160i	−0.841526	−	0.540217i	$-0.818342\pi$
$857$	3.96712	−	9.57747i	0.135514	−	0.327160i	0.977040	+	0.213057i	$0.0683421\pi$
$858$	−0.144226	−	0.0570686i	−0.00492378	−	0.00194829i
$859$	10.3728	+	15.5239i	0.353914	+	0.529670i	0.965122	−	0.261800i	$-0.0843160\pi$
$859$	10.3728	+	15.5239i	0.353914	+	0.529670i	−0.611208	+	0.791470i	$0.709316\pi$
$860$	2.82855	+	2.65399i	0.0964528	+	0.0905004i
$861$	3.60234	−	0.716551i	0.122768	−	0.0244200i
$862$	−38.8740	−	25.0892i	−1.32405	−	0.854543i
$863$			6.37504i			0.217009i	0.994096	+	0.108504i	$0.0346062\pi$
$863$			6.37504i			0.217009i	−0.994096	+	0.108504i	$0.965394\pi$
$864$	1.59463	+	19.9982i	0.0542505	+	0.680351i
$865$			5.97622i			0.203198i
$866$	1.04324	−	1.61643i	0.0354508	−	0.0549284i
$867$	1.81922	−	0.361866i	0.0617841	−	0.0122896i
$868$	0.248151	+	7.79395i	0.00842281	+	0.264544i
$869$	−0.435969	−	0.652473i	−0.0147892	−	0.0221336i
$870$	2.33010	−	5.88870i	0.0789977	−	0.199646i
$871$	−7.85348	+	18.9600i	−0.266105	+	0.642434i
$872$	−46.3950	+	2.21669i	−1.57113	+	0.0750667i
$873$	7.35831	+	17.7645i	0.249041	+	0.601239i
$874$	1.11198	+	69.8680i	0.0376133	+	2.36332i
$875$	1.35190	−	6.79644i	0.0457024	−	0.229761i
$876$	−1.11503	−	0.694756i	−0.0376733	−	0.0234736i
$877$	7.14103	−	10.6873i	0.241136	−	0.360885i	−0.691086	−	0.722772i	$-0.742868\pi$
$877$	7.14103	−	10.6873i	0.241136	−	0.360885i	0.932222	+	0.361887i	$0.117868\pi$
$878$	18.1426	+	26.2385i	0.612282	+	0.885508i
$879$	4.03771	−	4.03771i	0.136188	−	0.136188i
$880$	−0.0804366	+	0.235570i	−0.00271152	+	0.00794105i
$881$	9.31796	+	9.31796i	0.313930	+	0.313930i	0.846430	−	0.532500i	$-0.178747\pi$
$881$	9.31796	+	9.31796i	0.313930	+	0.313930i	−0.532500	+	0.846430i	$0.678747\pi$
$882$	4.04523	−	22.1754i	0.136210	−	0.746686i
$883$	21.6540	+	14.4687i	0.728714	+	0.486911i	0.863744	−	0.503931i	$-0.168113\pi$
$883$	21.6540	+	14.4687i	0.728714	+	0.486911i	−0.135031	+	0.990841i	$0.543113\pi$
$884$	16.0534	−	11.4819i	0.539934	−	0.386179i
$885$	6.04589	+	1.20260i	0.203231	+	0.0404251i
$886$	37.2304	+	36.0639i	1.25078	+	1.21159i
$887$	29.2410	−	12.1120i	0.981816	−	0.406681i	0.166718	−	0.986005i	$-0.446683\pi$
$887$	29.2410	−	12.1120i	0.981816	−	0.406681i	0.815098	+	0.579323i	$0.196683\pi$
$888$	8.65041	+	1.29506i	0.290289	+	0.0434594i
$889$	10.8782	+	4.50590i	0.364844	+	0.151123i
$890$	−8.04207	+	3.48208i	−0.269571	+	0.116720i
$891$	−0.361434	+	0.241503i	−0.0121085	+	0.00809065i
$892$	11.8298	+	26.1714i	0.396092	+	0.876283i
$893$	10.8351	+	54.4716i	0.362582	+	1.82282i
$894$	1.58257	+	7.34339i	0.0529292	+	0.245600i
$895$	4.01802			0.134308
$896$	9.35353	+	4.84164i	0.312479	+	0.161748i
$897$	−10.4619			−0.349313
$898$	−4.65553	−	21.6024i	−0.155357	−	0.720880i
$899$	−7.27023	−	36.5499i	−0.242476	−	1.21901i
$900$	−9.35263	−	20.6910i	−0.311754	−	0.689701i
$901$	−5.25167	+	3.50905i	−0.174958	+	0.116903i
$902$	0.633133	−	0.274136i	0.0210810	−	0.00912774i
$903$	−1.32979	−	0.550818i	−0.0442527	−	0.0183301i
$904$	−4.24425	+	28.3496i	−0.141162	+	0.942895i
$905$	−4.13255	+	1.71176i	−0.137371	+	0.0569007i
$906$	−4.16606	−	4.03553i	−0.138408	−	0.134072i
$907$	−40.1944	−	7.99517i	−1.33463	−	0.265475i	−0.524346	−	0.851506i	$-0.675690\pi$
$907$	−40.1944	−	7.99517i	−1.33463	−	0.265475i	−0.810289	+	0.586030i	$0.800690\pi$
$908$	−2.51332	+	1.79761i	−0.0834076	+	0.0596559i
$909$	27.2446	+	18.2043i	0.903647	+	0.603797i
$910$	−0.414972	+	2.27482i	−0.0137562	+	0.0754097i
$911$	−28.6254	−	28.6254i	−0.948402	−	0.948402i	0.0503311	−	0.998733i	$-0.483972\pi$
$911$	−28.6254	−	28.6254i	−0.948402	−	0.948402i	−0.998733	+	0.0503311i	$0.983972\pi$
$912$	−15.0416	+	7.38419i	−0.498077	+	0.244515i
$913$	0.349054	−	0.349054i	0.0115520	−	0.0115520i
$914$	−30.1741	−	43.6391i	−0.998071	−	1.44345i
$915$	−0.824923	+	1.23458i	−0.0272711	+	0.0408141i
$916$	33.0948	+	20.6208i	1.09348	+	0.681332i
$917$	−0.282775	+	1.42161i	−0.00933806	+	0.0469456i
$918$	0.356291	+	22.3865i	0.0117594	+	0.738865i
$919$	−10.0585	−	24.2833i	−0.331798	−	0.801031i	−0.998450	−	0.0556618i	$-0.982273\pi$
$919$	−10.0585	−	24.2833i	−0.331798	−	0.801031i	0.666652	−	0.745369i	$-0.267727\pi$
$920$	0.801287	+	16.7708i	0.0264177	+	0.552918i
$921$	3.66364	−	8.84481i	0.120721	−	0.291446i
$922$	−1.36853	+	3.45859i	−0.0450701	+	0.113903i
$923$	−5.05649	−	7.56757i	−0.166436	−	0.249090i
$924$	−0.00293959	−	0.0923268i	−9.67055e−5	−	0.00303733i
$925$	−20.9187	+	4.16099i	−0.687803	+	0.136813i
$926$	−11.1792	+	17.3214i	−0.367372	+	0.569215i
$927$			42.7234i			1.40322i
$928$	−47.8862	−	15.5046i	−1.57194	−	0.508965i
$929$			36.2888i			1.19060i	0.803505	+	0.595298i	$0.202966\pi$
$929$			36.2888i			1.19060i	−0.803505	+	0.595298i	$0.797034\pi$
$930$	−2.50458	−	1.61646i	−0.0821284	−	0.0530057i
$931$	39.7826	−	7.91326i	1.30382	−	0.259347i
$932$	−3.64297	−	3.41816i	−0.119330	−	0.111965i
$933$	−1.62379	−	2.43017i	−0.0531605	−	0.0795603i
$934$	−14.2614	−	5.64311i	−0.466649	−	0.184648i
$935$	−0.106312	+	0.256659i	−0.00347677	+	0.00839365i
$936$	6.92758	+	14.6983i	0.226435	+	0.480428i
$937$	−22.0385	−	53.2056i	−0.719966	−	1.73815i	−0.673449	−	0.739234i	$-0.735188\pi$
$937$	−22.0385	−	53.2056i	−0.719966	−	1.73815i	−0.0465174	−	0.998917i	$-0.514812\pi$
$938$	−12.2204	+	0.194494i	−0.399012	+	0.00635045i
$939$	−2.56047	+	12.8723i	−0.0835577	+	0.420073i
$940$	3.01863	+	12.9989i	0.0984569	+	0.423977i
$941$	32.5815	−	48.7616i	1.06213	−	1.58958i	0.286832	−	0.957981i	$-0.407398\pi$
$941$	32.5815	−	48.7616i	1.06213	−	1.58958i	0.775293	−	0.631602i	$-0.217602\pi$
$942$	−11.4187	+	7.89539i	−0.372040	+	0.257246i
$943$	32.9060	−	32.9060i	1.07157	−	1.07157i
$944$	6.48207	−	48.5630i	0.210973	−	1.58059i
$945$	−1.85482	−	1.85482i	−0.0603375	−	0.0603375i
$946$	−0.265984	−	0.0485207i	−0.00864790	−	0.00157754i
$947$	23.3926	+	15.6304i	0.760156	+	0.507920i	0.874206	−	0.485555i	$-0.161382\pi$
$947$	23.3926	+	15.6304i	0.760156	+	0.507920i	−0.114050	+	0.993475i	$0.536382\pi$
$948$	2.07877	−	12.5211i	0.0675154	−	0.406666i
$949$	−2.24842	−	0.447238i	−0.0729867	−	0.0145180i
$950$	28.4285	−	29.3480i	0.922342	−	0.952176i
$951$	3.48405	−	1.44314i	0.112978	−	0.0467970i
$952$	10.0739	+	6.05651i	0.326498	+	0.196293i
$953$	−23.8429	−	9.87605i	−0.772347	−	0.319917i	−0.0385243	−	0.999258i	$-0.512266\pi$
$953$	−23.8429	−	9.87605i	−0.772347	−	0.319917i	−0.733823	+	0.679341i	$0.762266\pi$
$954$	−2.06613	−	4.77184i	−0.0668934	−	0.154494i
$955$	0.858101	−	0.573365i	0.0277675	−	0.0185536i
$956$	−5.92981	+	15.7124i	−0.191784	+	0.508174i
$957$	0.0861229	+	0.432969i	0.00278396	+	0.0139959i
$958$	−43.1260	+	9.29409i	−1.39334	+	0.300278i
$959$	−5.34543			−0.172613
$960$	−3.55589	+	1.88838i	−0.114766	+	0.0609473i
$961$	13.4589			0.434158
$962$	14.9203	−	3.21547i	0.481050	−	0.103671i
$963$	−3.93005	−	19.7577i	−0.126644	−	0.636683i
$964$	−19.7265	−	7.44475i	−0.635349	−	0.239779i
$965$	−0.102517	+	0.0684994i	−0.00330012	+	0.00220507i
$966$	−2.47565	−	5.71767i	−0.0796529	−	0.183963i
$967$	45.3076	+	18.7670i	1.45699	+	0.603507i	0.963851	−	0.266441i	$-0.0858479\pi$
$967$	45.3076	+	18.7670i	1.45699	+	0.603507i	0.493143	+	0.869948i	$0.335848\pi$
$968$	7.51497	+	30.1736i	0.241540	+	0.969816i
$969$	−17.2771	+	7.15640i	−0.555020	+	0.229897i
$970$	−5.78437	+	5.97147i	−0.185725	+	0.191732i
$971$	14.9013	+	2.96405i	0.478205	+	0.0951208i	0.428307	−	0.903634i	$-0.359110\pi$
$971$	14.9013	+	2.96405i	0.478205	+	0.0951208i	0.0498981	+	0.998754i	$0.484110\pi$
$972$	−27.9272	−	4.63653i	−0.895767	−	0.148717i
$973$	14.9710	+	10.0033i	0.479948	+	0.320691i
$974$	−39.4292	−	7.19265i	−1.26339	−	0.230467i
$975$	4.32568	+	4.32568i	0.138533	+	0.138533i
$976$	10.2096	+	5.91895i	0.326801	+	0.189461i
$977$	−21.1839	+	21.1839i	−0.677734	+	0.677734i	−0.959487	−	0.281753i	$-0.909084\pi$
$977$	−21.1839	+	21.1839i	−0.677734	+	0.677734i	0.281753	+	0.959487i	$0.409084\pi$
$978$	−9.90331	+	6.84762i	−0.316673	+	0.218963i
$979$	0.339388	−	0.507930i	0.0108469	−	0.0162335i
$980$	9.49359	−	2.20462i	0.303261	−	0.0704240i
$981$	8.32577	−	41.8565i	0.265821	−	1.33637i
$982$	22.6724	−	0.360841i	0.723505	−	0.0115149i
$983$	−10.4133	−	25.1400i	−0.332134	−	0.801842i	−0.998422	−	0.0561482i	$-0.982118\pi$
$983$	−10.4133	−	25.1400i	−0.332134	−	0.801842i	0.666289	−	0.745694i	$-0.267882\pi$
$984$	10.5019	+	3.77358i	0.334789	+	0.120297i
$985$	−3.68478	+	8.89585i	−0.117407	+	0.283445i
$986$	−52.2334	−	20.6682i	−1.66345	−	0.658210i
$987$	−2.75126	−	4.11756i	−0.0875737	−	0.131063i
$988$	−20.0068	+	21.3227i	−0.636502	+	0.678367i
$989$	−17.8863	+	3.55781i	−0.568752	+	0.113132i
$990$	−0.192165	−	0.124023i	−0.00610740	−	0.00394172i
$991$		−	11.9640i		−	0.380050i	−0.981779	−	0.190025i	$-0.939143\pi$
$991$		−	11.9640i		−	0.380050i	0.981779	−	0.190025i	$-0.0608569\pi$
$992$	−11.5551	+	20.6832i	−0.366876	+	0.656691i
$993$			16.5090i			0.523899i
$994$	2.93930	−	4.55423i	0.0932289	−	0.144451i
$995$	18.8889	−	3.75724i	0.598820	−	0.119113i
$996$	7.98027	−	0.254084i	0.252865	−	0.00805095i
$997$	−2.81043	−	4.20611i	−0.0890073	−	0.133209i	0.784294	−	0.620389i	$-0.213025\pi$
$997$	−2.81043	−	4.20611i	−0.0890073	−	0.133209i	−0.873301	+	0.487180i	$0.838025\pi$
$998$	9.60706	−	24.2793i	0.304106	−	0.768548i
$999$	−6.62578	+	15.9960i	−0.209630	+	0.506092i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	64.2.i.a.21.5	✓	56
3.2	odd	2		576.2.bd.a.469.3		56
4.3	odd	2		256.2.i.a.177.4		56
8.3	odd	2		512.2.i.a.97.4		56
8.5	even	2		512.2.i.b.97.4		56
64.3	odd	16		256.2.i.a.81.4		56
64.29	even	16		512.2.i.b.417.4		56
64.35	odd	16		512.2.i.a.417.4		56
64.61	even	16	inner	64.2.i.a.61.5	yes	56
192.125	odd	16		576.2.bd.a.253.3		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
64.2.i.a.21.5	✓	56	1.1	even	1	trivial
64.2.i.a.61.5	yes	56	64.61	even	16	inner
256.2.i.a.81.4		56	64.3	odd	16
256.2.i.a.177.4		56	4.3	odd	2
512.2.i.a.97.4		56	8.3	odd	2
512.2.i.a.417.4		56	64.35	odd	16
512.2.i.b.97.4		56	8.5	even	2
512.2.i.b.417.4		56	64.29	even	16
576.2.bd.a.253.3		56	192.125	odd	16
576.2.bd.a.469.3		56	3.2	odd	2

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:	\( N \)	\(=\)	\( 64 = 2^{6} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	64.i (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.297937 + 1.38247i) q^{2} +(0.123576 + 0.621259i) q^{3} +(-1.82247 + 0.823780i) q^{4} +(0.660623 - 0.441414i) q^{5} +(-0.822057 + 0.355937i) q^{6} +(-0.860072 - 0.356253i) q^{7} +(-1.68183 - 2.27408i) q^{8} +(2.40095 - 0.994505i) q^{9} +(0.807067 + 0.781780i) q^{10} +(-0.0768198 - 0.0152804i) q^{11} +(-0.736995 - 1.03043i) q^{12} +(-1.83807 - 1.22816i) q^{13} +(0.236264 - 1.29517i) q^{14} +(0.355870 + 0.355870i) q^{15} +(2.64277 - 3.00262i) q^{16} +(3.15660 - 3.15660i) q^{17} +(2.09021 + 3.02295i) q^{18} +(-3.67418 + 5.49880i) q^{19} +(-0.840335 + 1.34867i) q^{20} +(0.115041 - 0.578352i) q^{21} +(-0.00176270 - 0.110754i) q^{22} +(-2.85915 - 6.90260i) q^{23} +(1.20496 - 1.32588i) q^{24} +(-1.67184 + 4.03618i) q^{25} +(1.15027 - 2.90699i) q^{26} +(1.97029 + 2.94875i) q^{27} +(1.86093 - 0.0592500i) q^{28} +(-8.72686 + 1.73588i) q^{29} +(-0.385954 + 0.598007i) q^{30} +4.18821i q^{31} +(4.93843 + 2.75897i) q^{32} -0.0496134i q^{33} +(5.30439 + 3.42345i) q^{34} +(-0.725438 + 0.144299i) q^{35} +(-3.55639 + 3.79030i) q^{36} +(2.71234 + 4.05931i) q^{37} +(-8.69661 - 3.44116i) q^{38} +(0.535863 - 1.29369i) q^{39} +(-2.11487 - 0.759922i) q^{40} +(2.38360 + 5.75451i) q^{41} +(0.833832 - 0.0132708i) q^{42} +(0.476196 - 2.39400i) q^{43} +(0.152589 - 0.0354346i) q^{44} +(1.14713 - 1.71680i) q^{45} +(8.69082 - 6.00924i) q^{46} +(5.93827 - 5.93827i) q^{47} +(2.19199 + 1.27079i) q^{48} +(-4.33694 - 4.33694i) q^{49} +(-6.07802 - 1.10875i) q^{50} +(2.35115 + 1.57099i) q^{51} +(4.36155 + 0.724112i) q^{52} +(-1.38768 - 0.276027i) q^{53} +(-3.48954 + 3.60242i) q^{54} +(-0.0574939 + 0.0238148i) q^{55} +(0.636351 + 2.55503i) q^{56} +(-3.87022 - 1.60310i) q^{57} +(-4.99987 - 11.5475i) q^{58} +(10.1842 - 6.80486i) q^{59} +(-0.941720 - 0.355403i) q^{60} +(0.575578 + 2.89363i) q^{61} +(-5.79009 + 1.24782i) q^{62} -2.41928 q^{63} +(-2.34286 + 7.64925i) q^{64} -1.75639 q^{65} +(0.0685892 - 0.0147817i) q^{66} +(-1.81110 - 9.10504i) q^{67} +(-3.15246 + 8.35315i) q^{68} +(3.93498 - 2.62927i) q^{69} +(-0.415624 - 0.959907i) q^{70} +(3.80374 + 1.57556i) q^{71} +(-6.29958 - 3.78735i) q^{72} +(0.958083 - 0.396851i) q^{73} +(-4.80378 + 4.95916i) q^{74} +(-2.71412 - 0.539871i) q^{75} +(2.16627 - 13.0481i) q^{76} +(0.0606269 + 0.0405096i) q^{77} +(1.94814 + 0.355379i) q^{78} +(7.08438 + 7.08438i) q^{79} +(0.420475 - 3.15016i) q^{80} +(3.92436 - 3.92436i) q^{81} +(-7.24529 + 5.00974i) q^{82} +(-3.50145 + 5.24029i) q^{83} +(0.266776 + 1.14880i) q^{84} +(0.691955 - 3.47869i) q^{85} +(3.45152 - 0.0549324i) q^{86} +(-2.15687 - 5.20713i) q^{87} +(0.0944494 + 0.200393i) q^{88} +(-2.98468 + 7.20566i) q^{89} +(2.71521 + 1.07438i) q^{90} +(1.14333 + 1.71112i) q^{91} +(10.8969 + 10.2245i) q^{92} +(-2.60196 + 0.517563i) q^{93} +(9.97873 + 6.44027i) q^{94} +5.25446i q^{95} +(-1.10376 + 3.40899i) q^{96} +7.39898i q^{97} +(4.70357 - 7.28784i) q^{98} +(-0.199637 + 0.0397102i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} - 8 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 8 q^{14} - 8 q^{15} - 8 q^{16} - 8 q^{17} - 8 q^{18} - 8 q^{19} - 8 q^{20}+ \cdots + 16 q^{99}+O(q^{100}) \) 56 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^9 - 8 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 8 * q^14 - 8 * q^15 - 8 * q^16 - 8 * q^17 - 8 * q^18 - 8 * q^19 - 8 * q^20 - 8 * q^21 - 8 * q^23 + 32 * q^24 - 8 * q^25 + 32 * q^26 - 8 * q^27 + 32 * q^28 - 8 * q^29 + 72 * q^30 + 32 * q^32 + 32 * q^34 - 8 * q^35 + 72 * q^36 - 8 * q^37 + 32 * q^38 - 8 * q^39 + 32 * q^40 - 8 * q^41 + 32 * q^42 - 8 * q^43 - 8 * q^45 - 8 * q^46 - 8 * q^47 - 8 * q^48 - 8 * q^49 - 32 * q^50 + 24 * q^51 - 56 * q^52 - 8 * q^53 - 72 * q^54 + 56 * q^55 - 64 * q^56 - 8 * q^57 - 80 * q^58 + 56 * q^59 - 104 * q^60 - 8 * q^61 - 40 * q^62 + 64 * q^63 - 104 * q^64 - 16 * q^65 - 88 * q^66 + 72 * q^67 - 56 * q^68 - 8 * q^69 - 104 * q^70 + 56 * q^71 - 80 * q^72 - 8 * q^73 - 64 * q^74 + 56 * q^75 - 72 * q^76 - 8 * q^77 - 32 * q^78 + 24 * q^79 + 32 * q^80 - 8 * q^81 + 72 * q^82 - 8 * q^83 + 104 * q^84 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 72 * q^88 - 8 * q^89 + 136 * q^90 - 8 * q^91 + 144 * q^92 + 16 * q^93 + 88 * q^94 + 128 * q^96 + 128 * q^98 + 16 * q^99

Introduction

L-functions

Modular forms

Varieties

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Representations

Groups

Database

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