LMFDB - Embedded newform 804.2.w.a.59.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(59,804)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 12]))

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

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

chi := DirichletCharacter("804.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.w (of order $22$, degree $10$, 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:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$1320$
Relative dimension:	$132$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			59.8
Character	$\chi$	$=$	804.59
Dual form			804.2.w.a.695.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39159 - 0.251963i) q^{2} +(1.00157 + 1.41310i) q^{3} +(1.87303 + 0.701256i) q^{4} +(1.15920 - 1.80375i) q^{5} +(-1.03773 - 2.21881i) q^{6} +(-1.19955 - 0.172470i) q^{7} +(-2.42979 - 1.44779i) q^{8} +(-0.993709 + 2.83064i) q^{9} +O(q^{10})$	\(q+(-1.39159 - 0.251963i) q^{2} +(1.00157 + 1.41310i) q^{3} +(1.87303 + 0.701256i) q^{4} +(1.15920 - 1.80375i) q^{5} +(-1.03773 - 2.21881i) q^{6} +(-1.19955 - 0.172470i) q^{7} +(-2.42979 - 1.44779i) q^{8} +(-0.993709 + 2.83064i) q^{9} +(-2.06761 + 2.21800i) q^{10} +(-2.88159 - 1.85189i) q^{11} +(0.885028 + 3.34914i) q^{12} +(-1.79401 - 3.92833i) q^{13} +(1.62583 + 0.542250i) q^{14} +(3.70991 - 0.168518i) q^{15} +(3.01648 + 2.62695i) q^{16} +(-2.08419 - 7.09809i) q^{17} +(2.09605 - 3.68871i) q^{18} +(-6.72479 + 0.966878i) q^{19} +(3.43611 - 2.56558i) q^{20} +(-0.957722 - 1.86783i) q^{21} +(3.54338 + 3.30311i) q^{22} +(-4.74975 - 5.48150i) q^{23} +(-0.387736 - 4.88361i) q^{24} +(0.167302 + 0.366340i) q^{25} +(1.50673 + 5.91863i) q^{26} +(-4.99526 + 1.43088i) q^{27} +(-2.12585 - 1.16424i) q^{28} +0.387778i q^{29} +(-5.20512 - 0.700249i) q^{30} +(2.23571 + 1.02101i) q^{31} +(-3.53580 - 4.41566i) q^{32} +(-0.269217 - 5.92677i) q^{33} +(1.11188 + 10.4027i) q^{34} +(-1.70162 + 1.96377i) q^{35} +(-3.84625 + 4.60503i) q^{36} +0.164813 q^{37} +(9.60174 + 0.348899i) q^{38} +(3.75430 - 6.46962i) q^{39} +(-5.42808 + 2.70446i) q^{40} +(0.901367 + 3.06977i) q^{41} +(0.862130 + 2.84056i) q^{42} +(3.18725 + 10.8548i) q^{43} +(-4.09866 - 5.48937i) q^{44} +(3.95387 + 5.07369i) q^{45} +(5.22856 + 8.82475i) q^{46} +(1.33450 + 1.54010i) q^{47} +(-0.690919 + 6.89367i) q^{48} +(-5.30727 - 1.55835i) q^{49} +(-0.140511 - 0.551948i) q^{50} +(7.94286 - 10.0544i) q^{51} +(-0.605466 - 8.61593i) q^{52} +(-0.585957 + 1.99559i) q^{53} +(7.31186 - 0.732577i) q^{54} +(-6.68068 + 3.05097i) q^{55} +(2.66497 + 2.15577i) q^{56} +(-8.10165 - 8.53440i) q^{57} +(0.0977055 - 0.539627i) q^{58} +(-0.961894 + 2.10625i) q^{59} +(7.06694 + 2.28595i) q^{60} +(9.84818 - 6.32904i) q^{61} +(-2.85393 - 1.98414i) q^{62} +(1.68021 - 3.22413i) q^{63} +(3.80780 + 7.03567i) q^{64} +(-9.16534 - 1.31778i) q^{65} +(-1.11869 + 8.31545i) q^{66} +(1.93842 - 7.95252i) q^{67} +(1.07383 - 14.7565i) q^{68} +(2.98870 - 12.2020i) q^{69} +(2.86274 - 2.30401i) q^{70} +(8.07820 + 2.37197i) q^{71} +(6.51269 - 5.43920i) q^{72} +(9.07148 - 5.82989i) q^{73} +(-0.229351 - 0.0415266i) q^{74} +(-0.350111 + 0.603330i) q^{75} +(-13.2738 - 2.90480i) q^{76} +(3.13723 + 2.71842i) q^{77} +(-6.85453 + 8.05709i) q^{78} +(-2.73885 + 1.25079i) q^{79} +(8.23506 - 2.39582i) q^{80} +(-7.02508 - 5.62567i) q^{81} +(-0.480863 - 4.49897i) q^{82} +(4.42870 + 2.84615i) q^{83} +(-0.484013 - 4.17011i) q^{84} +(-15.2192 - 4.46875i) q^{85} +(-1.70034 - 15.9084i) q^{86} +(-0.547969 + 0.388387i) q^{87} +(4.32052 + 8.67164i) q^{88} +(-2.10170 - 1.82113i) q^{89} +(-4.22377 - 8.05671i) q^{90} +(1.47449 + 5.02165i) q^{91} +(-5.05249 - 13.5978i) q^{92} +(0.796426 + 4.18190i) q^{93} +(-1.46903 - 2.47942i) q^{94} +(-6.05137 + 13.2506i) q^{95} +(2.69842 - 9.41905i) q^{96} -15.7608 q^{97} +(6.99288 + 3.50582i) q^{98} +(8.10549 - 6.31652i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$	$-1$

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 $

$2$	−1.39159	−	0.251963i	−0.984001	−	0.178164i
$2$	−1.39159	−	0.251963i	−0.984001	−	0.178164i
$3$	1.00157	+	1.41310i	0.578258	+	0.815854i
$3$	1.00157	+	1.41310i	0.578258	+	0.815854i
$4$	1.87303	+	0.701256i	0.936515	+	0.350628i
$5$	1.15920	−	1.80375i	0.518410	−	0.806662i	−0.479057	−	0.877784i	$-0.659021\pi$
$5$	1.15920	−	1.80375i	0.518410	−	0.806662i	0.997468	+	0.0711214i	$0.0226578\pi$
$6$	−1.03773	−	2.21881i	−0.423650	−	0.905826i
$7$	−1.19955	−	0.172470i	−0.453389	−	0.0651875i	−0.0881622	−	0.996106i	$-0.528099\pi$
$7$	−1.19955	−	0.172470i	−0.453389	−	0.0651875i	−0.365227	+	0.930919i	$0.619008\pi$
$8$	−2.42979	−	1.44779i	−0.859062	−	0.511872i
$9$	−0.993709	+	2.83064i	−0.331236	+	0.943548i
$10$	−2.06761	+	2.21800i	−0.653835	+	0.701394i
$11$	−2.88159	−	1.85189i	−0.868832	−	0.558364i	0.0285632	−	0.999592i	$-0.490907\pi$
$11$	−2.88159	−	1.85189i	−0.868832	−	0.558364i	−0.897395	+	0.441228i	$0.854543\pi$
$12$	0.885028	+	3.34914i	0.255486	+	0.966813i
$13$	−1.79401	−	3.92833i	−0.497568	−	1.08952i	−0.977252	−	0.212081i	$-0.931976\pi$
$13$	−1.79401	−	3.92833i	−0.497568	−	1.08952i	0.479684	−	0.877441i	$-0.340751\pi$
$14$	1.62583	+	0.542250i	0.434521	+	0.144922i
$15$	3.70991	−	0.168518i	0.957893	−	0.0435112i
$16$	3.01648	+	2.62695i	0.754120	+	0.656736i
$17$	−2.08419	−	7.09809i	−0.505490	−	1.72154i	−0.676658	−	0.736298i	$-0.736572\pi$
$17$	−2.08419	−	7.09809i	−0.505490	−	1.72154i	0.171168	−	0.985242i	$-0.445246\pi$
$18$	2.09605	−	3.68871i	0.494044	−	0.869437i
$19$	−6.72479	+	0.966878i	−1.54277	+	0.221817i	−0.860564	−	0.509342i	$-0.829889\pi$
$19$	−6.72479	+	0.966878i	−1.54277	+	0.221817i	−0.682207	+	0.731159i	$0.738980\pi$
$20$	3.43611	−	2.56558i	0.768337	−	0.573682i
$21$	−0.957722	−	1.86783i	−0.208992	−	0.407594i
$22$	3.54338	+	3.30311i	0.755451	+	0.704226i
$23$	−4.74975	−	5.48150i	−0.990391	−	1.14297i	−0.989727	−	0.142973i	$-0.954334\pi$
$23$	−4.74975	−	5.48150i	−0.990391	−	1.14297i	−0.000664864	−	1.00000i	$-0.500212\pi$
$24$	−0.387736	−	4.88361i	−0.0791463	−	0.996863i
$25$	0.167302	+	0.366340i	0.0334604	+	0.0732680i
$26$	1.50673	+	5.91863i	0.295493	+	1.16074i
$27$	−4.99526	+	1.43088i	−0.961337	+	0.275373i
$28$	−2.12585	−	1.16424i	−0.401749	−	0.220020i
$29$			0.387778i			0.0720085i	0.999352	+	0.0360043i	$0.0114630\pi$
$29$			0.387778i			0.0720085i	−0.999352	+	0.0360043i	$0.988537\pi$
$30$	−5.20512	−	0.700249i	−0.950320	−	0.127847i
$31$	2.23571	+	1.02101i	0.401545	+	0.183379i	0.605942	−	0.795509i	$-0.292796\pi$
$31$	2.23571	+	1.02101i	0.401545	+	0.183379i	−0.204397	+	0.978888i	$0.565523\pi$
$32$	−3.53580	−	4.41566i	−0.625048	−	0.780587i
$33$	−0.269217	−	5.92677i	−0.0468647	−	1.03172i
$34$	1.11188	+	10.4027i	0.190685	+	1.78406i
$35$	−1.70162	+	1.96377i	−0.287626	+	0.331938i
$36$	−3.84625	+	4.60503i	−0.641042	+	0.767506i
$37$	0.164813			0.0270950			0.0135475	−	0.999908i	$-0.495688\pi$
$37$	0.164813			0.0270950			0.0135475	+	0.999908i	$0.495688\pi$
$38$	9.60174	+	0.348899i	1.55761	+	0.0565989i
$39$	3.75430	−	6.46962i	0.601169	−	1.03597i
$40$	−5.42808	+	2.70446i	−0.858254	+	0.427613i
$41$	0.901367	+	3.06977i	0.140770	+	0.479418i	0.999452	−	0.0330897i	$-0.0105347\pi$
$41$	0.901367	+	3.06977i	0.140770	+	0.479418i	−0.858682	+	0.512508i	$0.828717\pi$
$42$	0.862130	+	2.84056i	0.133029	+	0.438308i
$43$	3.18725	+	10.8548i	0.486051	+	1.65534i	0.728402	+	0.685150i	$0.240263\pi$
$43$	3.18725	+	10.8548i	0.486051	+	1.65534i	−0.242351	+	0.970189i	$0.577919\pi$
$44$	−4.09866	−	5.48937i	−0.617896	−	0.827553i
$45$	3.95387	+	5.07369i	0.589408	+	0.756341i
$46$	5.22856	+	8.82475i	0.770909	+	1.30114i
$47$	1.33450	+	1.54010i	0.194657	+	0.224646i	0.844684	−	0.535265i	$-0.179788\pi$
$47$	1.33450	+	1.54010i	0.194657	+	0.224646i	−0.650028	+	0.759911i	$0.725243\pi$
$48$	−0.690919	+	6.89367i	−0.0997256	+	0.995015i
$49$	−5.30727	−	1.55835i	−0.758181	−	0.222622i
$50$	−0.140511	−	0.551948i	−0.0198713	−	0.0780572i
$51$	7.94286	−	10.0544i	1.11222	−	1.40790i
$52$	−0.605466	−	8.61593i	−0.0839631	−	1.19482i
$53$	−0.585957	+	1.99559i	−0.0804874	+	0.274115i	−0.989897	−	0.141786i	$-0.954715\pi$
$53$	−0.585957	+	1.99559i	−0.0804874	+	0.274115i	0.909410	+	0.415901i	$0.136534\pi$
$54$	7.31186	−	0.732577i	0.995018	−	0.0996911i
$55$	−6.68068	+	3.05097i	−0.900823	+	0.411392i
$56$	2.66497	+	2.15577i	0.356121	+	0.288077i
$57$	−8.10165	−	8.53440i	−1.07309	−	1.13041i
$58$	0.0977055	−	0.539627i	0.0128294	−	0.0708564i
$59$	−0.961894	+	2.10625i	−0.125228	+	0.274211i	−0.961854	−	0.273564i	$-0.911798\pi$
$59$	−0.961894	+	2.10625i	−0.125228	+	0.274211i	0.836626	+	0.547775i	$0.184525\pi$
$60$	7.06694	+	2.28595i	0.912338	+	0.295115i
$61$	9.84818	−	6.32904i	1.26093	−	0.810351i	0.272519	−	0.962150i	$-0.412143\pi$
$61$	9.84818	−	6.32904i	1.26093	−	0.810351i	0.988411	+	0.151799i	$0.0485068\pi$
$62$	−2.85393	−	1.98414i	−0.362449	−	0.251987i
$63$	1.68021	−	3.22413i	0.211686	−	0.406202i
$64$	3.80780	+	7.03567i	0.475975	+	0.879459i
$65$	−9.16534	−	1.31778i	−1.13682	−	0.163450i
$66$	−1.11869	+	8.31545i	−0.137701	+	1.02356i
$67$	1.93842	−	7.95252i	0.236816	−	0.971555i
$67$	1.93842	−	7.95252i	0.236816	−	0.971555i
$68$	1.07383	−	14.7565i	0.130221	−	1.78949i
$69$	2.98870	−	12.2020i	0.359798	−	1.46895i
$70$	2.86274	−	2.30401i	0.342163	−	0.275382i
$71$	8.07820	+	2.37197i	0.958706	+	0.281502i	0.723407	−	0.690421i	$-0.242575\pi$
$71$	8.07820	+	2.37197i	0.958706	+	0.281502i	0.235299	+	0.971923i	$0.424393\pi$
$72$	6.51269	−	5.43920i	0.767528	−	0.641015i
$73$	9.07148	−	5.82989i	1.06174	−	0.682337i	0.111468	−	0.993768i	$-0.464445\pi$
$73$	9.07148	−	5.82989i	1.06174	−	0.682337i	0.950269	+	0.311431i	$0.100808\pi$
$74$	−0.229351	−	0.0415266i	−0.0266615	−	0.00482737i
$75$	−0.350111	+	0.603330i	−0.0404273	+	0.0696666i
$76$	−13.2738	−	2.90480i	−1.52260	−	0.333204i
$77$	3.13723	+	2.71842i	0.357520	+	0.309793i
$78$	−6.85453	+	8.05709i	−0.776123	+	0.912286i
$79$	−2.73885	+	1.25079i	−0.308145	+	0.140725i	−0.563485	−	0.826126i	$-0.690540\pi$
$79$	−2.73885	+	1.25079i	−0.308145	+	0.140725i	0.255340	+	0.966851i	$0.417812\pi$
$80$	8.23506	−	2.39582i	0.920708	−	0.267861i
$81$	−7.02508	−	5.62567i	−0.780565	−	0.625075i
$82$	−0.480863	−	4.49897i	−0.0531024	−	0.496828i
$83$	4.42870	+	2.84615i	0.486113	+	0.312406i	0.760640	−	0.649173i	$-0.224885\pi$
$83$	4.42870	+	2.84615i	0.486113	+	0.312406i	−0.274527	+	0.961579i	$0.588521\pi$
$84$	−0.484013	−	4.17011i	−0.0528102	−	0.454997i
$85$	−15.2192	−	4.46875i	−1.65075	−	0.484705i
$86$	−1.70034	−	15.9084i	−0.183352	−	1.71545i
$87$	−0.547969	+	0.388387i	−0.0587485	+	0.0416395i
$88$	4.32052	+	8.67164i	0.460570	+	0.924400i
$89$	−2.10170	−	1.82113i	−0.222779	−	0.193039i	0.536319	−	0.844015i	$-0.319814\pi$
$89$	−2.10170	−	1.82113i	−0.222779	−	0.193039i	−0.759098	+	0.650976i	$0.774360\pi$
$90$	−4.22377	−	8.05671i	−0.445225	−	0.849251i
$91$	1.47449	+	5.02165i	0.154569	+	0.526412i
$92$	−5.05249	−	13.5978i	−0.526758	−	1.41767i
$93$	0.796426	+	4.18190i	0.0825855	+	0.433643i
$94$	−1.46903	−	2.47942i	−0.151519	−	0.255733i
$95$	−6.05137	+	13.2506i	−0.620857	+	1.35949i
$96$	2.69842	−	9.41905i	0.275406	−	0.961328i
$97$	−15.7608			−1.60027			−0.800134	−	0.599821i	$-0.795238\pi$
$97$	−15.7608			−1.60027			−0.800134	+	0.599821i	$0.795238\pi$
$98$	6.99288	+	3.50582i	0.706387	+	0.354141i
$99$	8.10549	−	6.31652i	0.814632	−	0.634834i
$100$	0.0564633	+	0.803487i	0.00564633	+	0.0803487i
$101$	−11.0040	+	1.58214i	−1.09494	+	0.157429i	−0.666036	−	0.745920i	$-0.732010\pi$
$101$	−11.0040	+	1.58214i	−1.09494	+	0.157429i	−0.428907	+	0.903349i	$0.641101\pi$
$102$	−13.5865	+	11.9903i	−1.34527	+	1.18722i
$103$	4.39651	+	2.00782i	0.433201	+	0.197836i	0.620067	−	0.784549i	$-0.287106\pi$
$103$	4.39651	+	2.00782i	0.433201	+	0.197836i	−0.186865	+	0.982386i	$0.559833\pi$
$104$	−1.32833	+	12.1424i	−0.130254	+	1.19066i
$105$	−4.47930	−	0.437700i	−0.437135	−	0.0427151i
$106$	1.31822	−	2.62939i	0.128037	−	0.255389i
$107$	10.1293	−	6.50973i	0.979240	−	0.629319i	0.0499816	−	0.998750i	$-0.484084\pi$
$107$	10.1293	−	6.50973i	0.979240	−	0.629319i	0.929258	+	0.369431i	$0.120447\pi$
$108$	−10.3597	−	0.822871i	−0.996860	−	0.0791808i
$109$	−5.87860	−	12.8723i	−0.563067	−	1.23295i	−0.950407	−	0.311009i	$-0.899333\pi$
$109$	−5.87860	−	12.8723i	−0.563067	−	1.23295i	0.387340	−	0.921937i	$-0.373394\pi$
$110$	10.0655	−	2.56240i	0.959706	−	0.244315i
$111$	0.165072	+	0.232897i	0.0156679	+	0.0221056i
$112$	−3.16536	−	3.67142i	−0.299099	−	0.346916i
$113$	1.32718	+	2.06514i	0.124851	+	0.194272i	0.898052	−	0.439889i	$-0.144982\pi$
$113$	1.32718	+	2.06514i	0.124851	+	0.194272i	−0.773201	+	0.634161i	$0.781346\pi$
$114$	9.12380	+	13.9177i	0.854522	+	1.30351i
$115$	−15.3932	+	2.21321i	−1.43542	+	0.206383i
$116$	−0.271931	+	0.726319i	−0.0252482	+	0.0674370i
$117$	12.9024	−	1.17458i	1.19283	−	0.108590i
$118$	1.86926	−	2.68868i	0.172079	−	0.247513i
$119$	1.27589	+	8.87400i	0.116961	+	0.813478i
$120$	−9.25829	−	4.96171i	−0.845162	−	0.452940i
$121$	0.304516	+	0.666797i	0.0276833	+	0.0606179i
$122$	−15.2993	+	6.32604i	−1.38513	+	0.572733i
$123$	−3.43512	+	4.34832i	−0.309734	+	0.392075i
$124$	3.47156	+	3.48019i	0.311755	+	0.312530i
$125$	11.4662	+	1.64859i	1.02557	+	0.147455i
$126$	−3.15052	+	4.06330i	−0.280670	+	0.361988i
$127$	6.21055	+	0.892942i	0.551097	+	0.0792358i	0.412238	−	0.911076i	$-0.364747\pi$
$127$	6.21055	+	0.892942i	0.551097	+	0.0792358i	0.138859	+	0.990312i	$0.455656\pi$
$128$	−3.52616	−	10.7502i	−0.311671	−	0.950190i
$129$	−12.1466	+	15.3757i	−1.06945	+	1.35376i
$130$	12.4223	+	4.14313i	1.08951	+	0.363376i
$131$	−6.46881	−	7.46540i	−0.565182	−	0.652255i	0.399170	−	0.916877i	$-0.369298\pi$
$131$	−6.46881	−	7.46540i	−0.565182	−	0.652255i	−0.964352	+	0.264622i	$0.914753\pi$
$132$	3.65193	−	11.2898i	0.317860	−	0.982652i
$133$	8.23350			0.713935
$134$	−4.70122	+	10.5782i	−0.406123	+	0.913818i
$135$	−3.20955	+	10.6689i	−0.276234	+	0.918231i
$136$	−5.21241	+	20.2644i	−0.446961	+	1.73765i
$137$	11.5644	−	10.0206i	0.988014	−	0.856119i	−0.00158158	−	0.999999i	$-0.500503\pi$
$137$	11.5644	−	10.0206i	0.988014	−	0.856119i	0.989595	+	0.143880i	$0.0459580\pi$
$138$	−7.23349	+	16.2271i	−0.615756	+	1.38134i
$139$	1.78165	−	2.77231i	0.151118	−	0.235144i	−0.757438	−	0.652907i	$-0.773549\pi$
$139$	1.78165	−	2.77231i	0.151118	−	0.235144i	0.908556	+	0.417763i	$0.137186\pi$
$140$	−4.56428	+	2.48493i	−0.385752	+	0.210015i
$141$	−0.839713	+	3.42830i	−0.0707166	+	0.288715i
$142$	−10.6439	−	5.33621i	−0.893214	−	0.447805i
$143$	−2.10522	+	14.6421i	−0.176047	+	1.22444i
$144$	−10.4335	+	5.92816i	−0.869454	+	0.494013i
$145$	0.699455	+	0.449512i	0.0580865	+	0.0373300i
$146$	−14.0927	+	5.82712i	−1.16632	+	0.482256i
$147$	−3.11350	−	9.06051i	−0.256797	−	0.747298i
$148$	0.308699	+	0.115576i	0.0253749	+	0.00950027i
$149$	−4.97260	+	0.714952i	−0.407371	+	0.0585712i	−0.342955	−	0.939352i	$-0.611428\pi$
$149$	−4.97260	+	0.714952i	−0.407371	+	0.0585712i	−0.0644166	+	0.997923i	$0.520519\pi$
$150$	0.639226	−	0.751372i	0.0521926	−	0.0613492i
$151$	−3.71625	−	12.6564i	−0.302424	−	1.02996i	−0.960793	−	0.277267i	$-0.910571\pi$
$151$	−3.71625	−	12.6564i	−0.302424	−	1.02996i	0.658369	−	0.752695i	$-0.271247\pi$
$152$	17.7397	+	7.38677i	1.43888	+	0.599147i
$153$	22.1632	+	1.15385i	1.79179	+	0.0932829i
$154$	−3.68079	−	4.57339i	−0.296606	−	0.368534i
$155$	4.43329	−	2.84910i	0.356090	−	0.228845i
$156$	11.5688	−	9.48506i	0.926243	−	0.759412i
$157$	13.3368	+	15.3914i	1.06439	+	1.22837i	0.972574	+	0.232594i	$0.0747214\pi$
$157$	13.3368	+	15.3914i	1.06439	+	1.22837i	0.0918150	+	0.995776i	$0.470733\pi$
$158$	4.12650	−	1.05050i	0.328287	−	0.0835730i
$159$	−3.40684	+	1.17071i	−0.270180	+	0.0928430i
$160$	−12.0635	+	1.25907i	−0.953701	+	0.0995382i
$161$	4.75219	+	7.39455i	0.374525	+	0.582772i
$162$	8.35856	+	9.59867i	0.656710	+	0.754143i
$163$		−	17.6120i		−	1.37948i	−0.724058	−	0.689739i	$-0.757725\pi$
$163$		−	17.6120i		−	1.37948i	0.724058	−	0.689739i	$-0.242275\pi$
$164$	−0.464410	+	6.38187i	−0.0362643	+	0.498340i
$165$	−11.0025	−	6.38472i	−0.856544	−	0.497050i
$166$	−5.44580	−	5.07654i	−0.422676	−	0.394016i
$167$	−3.04428	−	21.1734i	−0.235573	−	1.63845i	−0.673321	−	0.739350i	$-0.735133\pi$
$167$	−3.04428	−	21.1734i	−0.235573	−	1.63845i	0.437748	−	0.899098i	$-0.355776\pi$
$168$	−0.377165	+	5.92503i	−0.0290989	+	0.457126i
$169$	−3.70011	+	4.27016i	−0.284624	+	0.328473i
$170$	20.0529	+	10.0533i	1.53798	+	0.771055i
$171$	3.94559	−	19.9963i	0.301727	−	1.52915i
$172$	−1.64216	+	22.5664i	−0.125214	+	1.72067i
$173$	13.6287	+	6.22401i	1.03617	+	0.473202i	0.859536	−	0.511074i	$-0.170752\pi$
$173$	13.6287	+	6.22401i	1.03617	+	0.473202i	0.176632	+	0.984277i	$0.443480\pi$
$174$	0.860406	−	0.402407i	0.0652272	−	0.0305064i
$175$	−0.137505	−	0.468299i	−0.0103944	−	0.0354001i
$176$	−3.82746	−	13.1560i	−0.288505	−	0.991668i
$177$	−3.93976	+	0.750311i	−0.296130	+	0.0563968i
$178$	2.46584	+	3.06381i	0.184822	+	0.229642i
$179$	−11.5852	+	13.3700i	−0.865915	+	0.999319i	0.134050	+	0.990975i	$0.457202\pi$
$179$	−11.5852	+	13.3700i	−0.865915	+	0.999319i	−0.999965	+	0.00834446i	$0.997344\pi$
$180$	3.84776	+	12.2758i	0.286795	+	0.914987i
$181$	7.23147	+	8.34557i	0.537511	+	0.620321i	0.957927	−	0.287010i	$-0.0926614\pi$
$181$	7.23147	+	8.34557i	0.537511	+	0.620321i	−0.420416	+	0.907331i	$0.638116\pi$
$182$	−0.786613	−	7.35959i	−0.0583077	−	0.545529i
$183$	18.8072	+	7.57749i	1.39027	+	0.560144i
$184$	3.60484	+	20.1956i	0.265752	+	1.48884i
$185$	0.191051	−	0.297281i	0.0140463	−	0.0218565i
$186$	−0.0546139	−	6.02015i	−0.00400449	−	0.441419i
$187$	−7.13908	+	24.3135i	−0.522061	+	1.77798i
$188$	1.41956	+	3.82047i	0.103532	+	0.278636i
$189$	6.23886	−	0.854887i	0.453811	−	0.0621839i
$190$	11.7597	−	16.9147i	0.853136	−	1.22712i
$191$	−14.5961	+	16.8448i	−1.05614	+	1.21885i	−0.0811252	+	0.996704i	$0.525851\pi$
$191$	−14.5961	+	16.8448i	−1.05614	+	1.21885i	−0.975014	+	0.222145i	$0.928694\pi$
$192$	−6.12833	+	12.4275i	−0.442274	+	0.896880i
$193$	5.96934	−	13.0710i	0.429683	−	0.940874i	−0.563695	−	0.825983i	$-0.690621\pi$
$193$	5.96934	−	13.0710i	0.429683	−	0.940874i	0.993378	−	0.114891i	$-0.0366520\pi$
$194$	21.9325	+	3.97113i	1.57466	+	0.285111i
$195$	−7.31759	−	14.2714i	−0.524024	−	1.02200i
$196$	−8.84786	−	6.64059i	−0.631990	−	0.474328i
$197$	−2.16879	+	7.38622i	−0.154520	+	0.526247i	−0.999970	−	0.00780871i	$-0.997514\pi$
$197$	−2.16879	+	7.38622i	−0.154520	+	0.526247i	0.845450	+	0.534055i	$0.179333\pi$
$198$	−12.8710	+	6.74771i	−0.914704	+	0.479539i
$199$	17.5047	+	2.51680i	1.24088	+	0.178411i	0.731325	−	0.682029i	$-0.238902\pi$
$199$	17.5047	+	2.51680i	1.24088	+	0.178411i	0.509551	+	0.860440i	$0.329812\pi$
$200$	0.123875	−	1.13235i	0.00875929	−	0.0800692i
$201$	13.1792	−	5.22583i	0.929587	−	0.368602i
$202$	15.7117	+	0.570917i	1.10547	+	0.0401696i
$203$	0.0668800	−	0.465160i	0.00469405	−	0.0326479i
$204$	21.9279	−	13.2622i	1.53526	−	0.928542i
$205$	6.58198	+	1.93264i	0.459705	+	0.134982i
$206$	−5.61224	−	3.90181i	−0.391023	−	0.271852i
$207$	20.2361	−	7.99783i	1.40650	−	0.555888i
$208$	4.90792	−	16.5625i	0.340303	−	1.14840i
$209$	21.1686	+	9.66739i	1.46426	+	0.668707i
$210$	6.12305	+	1.73771i	0.422530	+	0.119914i
$211$	−7.74727	−	6.71304i	−0.533344	−	0.462145i	0.346066	−	0.938210i	$-0.387517\pi$
$211$	−7.74727	−	6.71304i	−0.533344	−	0.462145i	−0.879410	+	0.476065i	$0.842063\pi$
$212$	−2.49693	+	3.32689i	−0.171490	+	0.228492i
$213$	4.73906	+	13.7910i	0.324715	+	0.944945i
$214$	−15.7361	+	6.50664i	−1.07569	+	0.444785i
$215$	23.2740	+	6.83386i	1.58727	+	0.466065i
$216$	14.2091	+	3.75535i	0.966804	+	0.255519i
$217$	−2.50576	−	1.61035i	−0.170102	−	0.109318i
$218$	4.93723	+	19.3942i	0.334392	+	1.31354i
$219$	17.3240	+	6.97987i	1.17064	+	0.471656i
$220$	−14.6526	+	1.02968i	−0.987880	+	0.0694211i
$221$	−24.1446	+	20.9214i	−1.62414	+	1.40733i
$222$	−0.171030	−	0.365688i	−0.0114788	−	0.0245434i
$223$	10.0291	+	8.69029i	0.671600	+	0.581945i	0.922467	−	0.386077i	$-0.126170\pi$
$223$	10.0291	+	8.69029i	0.671600	+	0.581945i	−0.250866	+	0.968022i	$0.580716\pi$
$224$	3.47982	+	5.90665i	0.232505	+	0.394655i
$225$	−1.20323	+	0.109537i	−0.0802152	+	0.00730244i
$226$	−1.32656	−	3.20822i	−0.0882411	−	0.213408i
$227$	−10.0095	+	2.93905i	−0.664352	+	0.195071i	−0.596487	−	0.802623i	$-0.703437\pi$
$227$	−10.0095	+	2.93905i	−0.664352	+	0.195071i	−0.0678657	+	0.997694i	$0.521619\pi$
$228$	−9.18983	−	21.6665i	−0.608611	−	1.43490i
$229$	1.13193	−	2.47857i	0.0747998	−	0.163789i	−0.868538	−	0.495622i	$-0.834940\pi$
$229$	1.13193	−	2.47857i	0.0747998	−	0.163789i	0.943338	+	0.331834i	$0.107667\pi$
$230$	21.9786	+	0.798638i	1.44923	+	0.0526606i
$231$	−0.699249	+	7.15592i	−0.0460072	+	0.470825i
$232$	0.561421	−	0.942220i	0.0368591	−	0.0618598i
$233$	−11.4164	−	9.89233i	−0.747910	−	0.648068i	0.195118	−	0.980780i	$-0.437491\pi$
$233$	−11.4164	−	9.89233i	−0.747910	−	0.648068i	−0.943029	+	0.332712i	$0.892036\pi$
$234$	−18.2508	−	1.61640i	−1.19309	−	0.105667i
$235$	4.32490	−	0.621827i	0.282126	−	0.0405635i
$236$	−3.27868	+	3.27054i	−0.213424	+	0.212894i
$237$	−4.51065	−	2.61751i	−0.292998	−	0.170026i
$238$	0.460406	−	12.6704i	0.0298437	−	0.821302i
$239$	−28.5518			−1.84686			−0.923430	−	0.383767i	$-0.874627\pi$
$239$	−28.5518			−1.84686			−0.923430	+	0.383767i	$0.874627\pi$
$240$	11.6335	+	9.23739i	0.750942	+	0.596271i
$241$	1.99838	−	1.28428i	0.128727	−	0.0827278i	−0.474693	−	0.880152i	$-0.657441\pi$
$241$	1.99838	−	1.28428i	0.128727	−	0.0827278i	0.603420	+	0.797424i	$0.293804\pi$
$242$	−0.255753	−	1.00463i	−0.0164404	−	0.0645802i
$243$	0.913520	−	15.5617i	0.0586023	−	0.998281i
$244$	22.8842	−	4.94839i	1.46501	−	0.316788i
$245$	−8.96307	+	7.76654i	−0.572630	+	0.496186i
$246$	5.87588	−	5.18555i	0.374632	−	0.330618i
$247$	15.8625	+	24.6826i	1.00931	+	1.57051i
$248$	−3.95409	−	5.71769i	−0.251085	−	0.363074i
$249$	0.413758	+	9.10883i	0.0262209	+	0.577248i
$250$	−15.5409	−	5.18322i	−0.982890	−	0.327816i
$251$	−3.93182	+	1.15449i	−0.248174	+	0.0728705i	−0.403454	−	0.915000i	$-0.632190\pi$
$251$	−3.93182	+	1.15449i	−0.248174	+	0.0728705i	0.155280	+	0.987871i	$0.450372\pi$
$252$	5.40802	−	4.86063i	0.340673	−	0.306191i
$253$	3.53572	+	24.5914i	0.222289	+	1.54605i
$254$	−8.41753	−	2.80743i	−0.528163	−	0.176154i
$255$	−8.92830	−	25.9820i	−0.559112	−	1.62706i
$256$	2.19831	+	15.8483i	0.137394	+	0.990516i
$257$	3.88476	−	6.04480i	0.242324	−	0.377064i	−0.698693	−	0.715421i	$-0.746235\pi$
$257$	3.88476	−	6.04480i	0.242324	−	0.377064i	0.941018	+	0.338357i	$0.109871\pi$
$258$	20.7772	−	18.3362i	1.29353	−	1.14156i
$259$	−0.197702	−	0.0284252i	−0.0122846	−	0.00176626i
$260$	−16.2429	−	8.89549i	−1.00734	−	0.551675i
$261$	−1.09766	−	0.385338i	−0.0679435	−	0.0238518i
$262$	7.12091	+	12.0187i	0.439931	+	0.742515i
$263$	−15.3443	−	9.86118i	−0.946169	−	0.608066i	−0.0260318	−	0.999661i	$-0.508287\pi$
$263$	−15.3443	−	9.86118i	−0.946169	−	0.608066i	−0.920138	+	0.391595i	$0.871923\pi$
$264$	−7.92659	+	14.7906i	−0.487848	+	0.910299i
$265$	2.92030	+	3.37021i	0.179393	+	0.207030i
$266$	−11.4576	−	2.07453i	−0.702513	−	0.127198i
$267$	0.468442	−	4.79390i	0.0286682	−	0.293382i
$268$	9.20746	−	13.5360i	0.562435	−	0.826841i
$269$			11.1399i			0.679214i	0.940568	+	0.339607i	$0.110294\pi$
$269$			11.1399i			0.679214i	−0.940568	+	0.339607i	$0.889706\pi$
$270$	7.15453	−	14.0380i	0.435411	−	0.854325i
$271$	5.74404	−	4.97724i	0.348926	−	0.302346i	−0.462710	−	0.886510i	$-0.653123\pi$
$271$	5.74404	−	4.97724i	0.348926	−	0.302346i	0.811636	+	0.584164i	$0.198577\pi$
$272$	12.3594	−	26.8863i	0.749398	−	1.63022i
$273$	−5.61930	+	7.11315i	−0.340095	+	0.430507i
$274$	−18.6177	+	11.0308i	−1.12474	+	0.666392i
$275$	0.196324	−	1.36547i	0.0118388	−	0.0823407i
$276$	14.1547	−	20.7589i	0.852010	−	1.24954i
$277$	−0.174017	+	1.21032i	−0.0104557	+	0.0727208i	−0.994381	−	0.105858i	$-0.966241\pi$
$277$	−0.174017	+	1.21032i	−0.0104557	+	0.0727208i	0.983926	+	0.178579i	$0.0571501\pi$
$278$	−3.17784	+	3.40900i	−0.190594	+	0.204458i
$279$	−5.11177	+	5.31390i	−0.306034	+	0.318135i
$280$	6.97771	−	2.30797i	0.416998	−	0.137928i
$281$	11.3836	−	5.19872i	0.679090	−	0.310130i	−0.0458439	−	0.998949i	$-0.514598\pi$
$281$	11.3836	−	5.19872i	0.679090	−	0.310130i	0.724934	+	0.688819i	$0.241870\pi$
$282$	2.03234	−	4.55920i	0.121024	−	0.271496i
$283$	−26.1141	+	3.75464i	−1.55232	+	0.223190i	−0.864479	−	0.502668i	$-0.832352\pi$
$283$	−26.1141	+	3.75464i	−1.55232	+	0.223190i	−0.687844	+	0.725859i	$0.741443\pi$
$284$	13.4674	+	10.1077i	0.799140	+	0.599780i
$285$	−24.7854	+	4.72028i	−1.46816	+	0.279605i
$286$	6.61887	−	19.8454i	0.391382	−	1.17348i
$287$	−0.551795	−	3.83782i	−0.0325714	−	0.226539i
$288$	16.0127	−	5.62071i	0.943559	−	0.331204i
$289$	−31.7377	+	20.3966i	−1.86693	+	1.19980i
$290$	−0.860092	−	0.801772i	−0.0505063	−	0.0470817i
$291$	−15.7856	−	22.2716i	−0.925367	−	1.30559i
$292$	21.0794	−	4.55812i	1.23358	−	0.266744i
$293$	−0.814814	+	0.372113i	−0.0476020	+	0.0217391i	−0.439074	−	0.898451i	$-0.644693\pi$
$293$	−0.814814	+	0.372113i	−0.0476020	+	0.0217391i	0.391472	+	0.920190i	$0.371966\pi$
$294$	2.04979	+	13.3930i	0.119546	+	0.781094i
$295$	2.68413	+	4.17659i	0.156276	+	0.243170i
$296$	−0.400460	−	0.238614i	−0.0232763	−	0.0138692i
$297$	17.0441	+	5.12743i	0.988999	+	0.297524i
$298$	7.09995	+	0.257991i	0.411289	+	0.0149450i
$299$	−13.0121	+	28.4924i	−0.752507	+	1.64776i
$300$	−1.07886	+	0.884538i	−0.0622878	+	0.0510688i
$301$	−1.95116	−	13.5706i	−0.112463	−	0.782196i
$302$	1.98255	+	18.5488i	0.114083	+	1.06736i
$303$	−13.2571	−	13.9652i	−0.761598	−	0.802279i
$304$	−22.8251	−	14.7491i	−1.30911	−	0.845918i
$305$		−	25.1003i		−	1.43724i
$306$	−30.5514	−	7.18998i	−1.74650	−	0.411024i
$307$	5.59592	+	2.55557i	0.319376	+	0.145854i	0.568652	−	0.822579i	$-0.307465\pi$
$307$	5.59592	+	2.55557i	0.319376	+	0.145854i	−0.249276	+	0.968433i	$0.580193\pi$
$308$	3.96981	+	7.29169i	0.226201	+	0.415483i
$309$	1.56617	+	8.22369i	0.0890963	+	0.467830i
$310$	−6.88718	+	2.84775i	−0.391165	+	0.161741i
$311$	−9.90917	+	2.90959i	−0.561897	+	0.164988i	−0.550333	−	0.834945i	$-0.685499\pi$
$311$	−9.90917	+	2.90959i	−0.561897	+	0.164988i	−0.0115642	+	0.999933i	$0.503681\pi$
$312$	−18.4888	+	10.2844i	−1.04672	+	0.582239i
$313$	−0.236688	+	0.273152i	−0.0133784	+	0.0154395i	−0.762399	−	0.647107i	$-0.775979\pi$
$313$	−0.236688	+	0.273152i	−0.0133784	+	0.0154395i	0.749021	+	0.662546i	$0.230524\pi$
$314$	−14.6812	−	24.7789i	−0.828508	−	1.39835i
$315$	−3.86782	−	6.76809i	−0.217927	−	0.381338i
$316$	−6.00707	+	0.422134i	−0.337924	+	0.0237469i
$317$	1.04867	−	3.57146i	0.0588994	−	0.200593i	−0.924787	−	0.380486i	$-0.875757\pi$
$317$	1.04867	−	3.57146i	0.0588994	−	0.200593i	0.983686	+	0.179893i	$0.0575750\pi$
$318$	5.03589	−	0.770742i	0.282399	−	0.0432211i
$319$	0.718120	−	1.11742i	0.0402070	−	0.0625633i
$320$	17.1046	+	1.28744i	0.956176	+	0.0719699i
$321$	19.3442	+	7.79382i	1.07969	+	0.435008i
$322$	−4.74993	−	11.4875i	−0.264704	−	0.640175i
$323$	20.8787	+	45.7180i	1.16172	+	2.54382i
$324$	−9.21316	−	15.4634i	−0.511842	−	0.859080i
$325$	1.13896	−	1.31443i	0.0631783	−	0.0729116i
$326$	−4.43756	+	24.5086i	−0.245774	+	1.35741i
$327$	12.3021	−	21.1996i	0.680306	−	1.17234i
$328$	2.25426	−	8.76391i	0.124471	−	0.483906i
$329$	−1.33518	−	2.07759i	−0.0736111	−	0.114541i
$330$	13.7022	+	11.6571i	0.754283	+	0.641703i
$331$	6.60994	−	22.5114i	0.363315	−	1.23734i	−0.551743	−	0.834014i	$-0.686037\pi$
$331$	6.60994	−	22.5114i	0.363315	−	1.23734i	0.915058	−	0.403323i	$-0.132145\pi$
$332$	6.29921	+	8.43658i	0.345714	+	0.463017i
$333$	−0.163776	+	0.466525i	−0.00897485	+	0.0255654i
$334$	−1.09853	+	30.2317i	−0.0601089	+	1.65420i
$335$	−12.0973	−	12.7150i	−0.660949	−	0.694694i
$336$	2.01774	−	8.15016i	0.110077	−	0.444628i
$337$	−4.80846	+	33.4435i	−0.261933	+	1.82179i	0.256358	+	0.966582i	$0.417477\pi$
$337$	−4.80846	+	33.4435i	−0.261933	+	1.82179i	−0.518292	+	0.855204i	$0.673432\pi$
$338$	6.22495	−	5.01000i	0.338592	−	0.272508i
$339$	−1.58898	+	3.94383i	−0.0863016	+	0.214200i
$340$	−25.3722	−	19.0426i	−1.37600	−	1.03273i
$341$	−4.55159	−	7.08242i	−0.246483	−	0.383534i
$342$	−10.5289	+	26.8324i	−0.569340	+	1.45093i
$343$	13.8142	+	6.30873i	0.745897	+	0.340640i
$344$	7.97110	−	30.9894i	0.429773	−	1.67083i
$345$	−18.5449	−	19.5354i	−0.998422	−	1.05175i
$346$	−17.3973	−	12.0952i	−0.935283	−	0.650240i
$347$	−5.96548	−	13.0626i	−0.320244	−	0.701236i	0.679222	−	0.733933i	$-0.262318\pi$
$347$	−5.96548	−	13.0626i	−0.320244	−	0.701236i	−0.999465	+	0.0326974i	$0.989590\pi$
$348$	−1.29872	+	0.343194i	−0.0696188	+	0.0183971i
$349$	11.0667	+	3.24948i	0.592387	+	0.173941i	0.564166	−	0.825661i	$-0.309198\pi$
$349$	11.0667	+	3.24948i	0.592387	+	0.173941i	0.0282208	+	0.999602i	$0.491016\pi$
$350$	0.0733564	+	0.686325i	0.00392106	+	0.0366856i
$351$	14.5825	+	17.0560i	0.778356	+	0.910382i
$352$	2.01143	+	19.2720i	0.107210	+	1.02720i
$353$	1.17285	−	3.99436i	0.0624245	−	0.212598i	−0.922374	−	0.386297i	$-0.873754\pi$
$353$	1.17285	−	3.99436i	0.0624245	−	0.212598i	0.984799	+	0.173699i	$0.0555720\pi$
$354$	5.67157	−	0.0514517i	0.301440	−	0.00273462i
$355$	13.6427	−	11.8215i	0.724080	−	0.627419i
$356$	−2.65946	−	4.88486i	−0.140951	−	0.258897i
$357$	−11.2620	+	10.6909i	−0.596047	+	0.565823i
$358$	19.4905	−	15.6865i	1.03010	−	0.829055i
$359$	0.909842	−	0.267154i	0.0480196	−	0.0140998i	−0.257635	−	0.966242i	$-0.582943\pi$
$359$	0.909842	−	0.267154i	0.0480196	−	0.0140998i	0.305654	+	0.952143i	$0.401125\pi$
$360$	−2.26144	−	18.0524i	−0.119188	−	0.951445i
$361$	26.0575	−	7.65118i	1.37145	−	0.402694i
$362$	−7.96046	−	13.4356i	−0.418392	−	0.706162i
$363$	−0.637257	+	1.09816i	−0.0334473	+	0.0576383i
$364$	−0.759699	+	10.4397i	−0.0398191	+	0.547189i
$365$		−	23.1207i		−	1.21019i
$366$	−24.2627	−	15.2835i	−1.26823	−	0.798879i
$367$	−21.3760	−	18.5224i	−1.11582	−	0.966863i	−0.116167	−	0.993230i	$-0.537061\pi$
$367$	−21.3760	−	18.5224i	−1.11582	−	0.966863i	−0.999652	+	0.0263670i	$0.991606\pi$
$368$	0.0720842	−	29.0122i	0.00375765	−	1.51236i
$369$	−9.58513	−	0.499014i	−0.498982	−	0.0259776i
$370$	−0.340767	+	0.365555i	−0.0177157	+	0.0190043i
$371$	1.04707	−	2.29275i	0.0543609	−	0.119034i
$372$	−1.44085	+	8.39132i	−0.0747047	+	0.435070i
$373$	4.11628			0.213133			0.106566	−	0.994306i	$-0.466014\pi$
$373$	4.11628			0.213133			0.106566	+	0.994306i	$0.466014\pi$
$374$	16.0607	−	32.0355i	0.830481	−	1.65652i
$375$	9.15461	+	17.8541i	0.472742	+	0.921982i
$376$	−1.01282	−	5.67419i	−0.0522323	−	0.292624i
$377$	1.52332	−	0.695676i	0.0784549	−	0.0358291i
$378$	−8.89732	−	0.382310i	−0.457629	−	0.0196639i
$379$	1.13822	−	0.986272i	0.0584663	−	0.0506614i	−0.625137	−	0.780515i	$-0.714957\pi$
$379$	1.13822	−	0.986272i	0.0584663	−	0.0506614i	0.683604	+	0.729853i	$0.260412\pi$
$380$	−20.6265	+	20.5753i	−1.05812	+	1.05549i
$381$	4.95849	+	9.67048i	0.254031	+	0.495434i
$382$	24.5561	−	19.7634i	1.25640	−	1.01118i
$383$	−0.0643860	−	0.447814i	−0.00328997	−	0.0228822i	0.988110	−	0.153746i	$-0.0491339\pi$
$383$	−0.0643860	−	0.447814i	−0.00328997	−	0.0228822i	−0.991400	+	0.130864i	$0.958225\pi$
$384$	11.6594	−	15.7499i	0.594990	−	0.803733i
$385$	8.54004	−	2.50758i	0.435241	−	0.127798i
$386$	−11.6003	+	16.6854i	−0.590439	+	0.849267i
$387$	−33.8932	−	1.76452i	−1.72289	−	0.0896958i
$388$	−29.5205	−	11.0524i	−1.49867	−	0.561099i
$389$	−28.5668	+	13.0460i	−1.44839	+	0.661459i	−0.975568	−	0.219696i	$-0.929493\pi$
$389$	−28.5668	+	13.0460i	−1.44839	+	0.661459i	−0.472826	+	0.881156i	$0.656766\pi$
$390$	6.58721	+	21.7037i	0.333556	+	1.09901i
$391$	−29.0088	+	45.1386i	−1.46704	+	2.28276i
$392$	10.6394	+	11.4703i	0.537370	+	0.579337i
$393$	4.07039	−	16.6182i	0.205324	−	0.838278i
$394$	4.87911	−	9.73212i	0.245806	−	0.490297i
$395$	−0.918761	+	6.39012i	−0.0462279	+	0.321522i
$396$	19.6113	−	6.14700i	0.985506	−	0.308899i
$397$	−25.3175	−	16.2706i	−1.27065	−	0.816598i	−0.280946	−	0.959724i	$-0.590648\pi$
$397$	−25.3175	−	16.2706i	−1.27065	−	0.816598i	−0.989704	+	0.143126i	$0.954285\pi$
$398$	−23.7252	−	7.91287i	−1.18924	−	0.396636i
$399$	8.24644	+	11.6348i	0.412838	+	0.582467i
$400$	−0.457692	+	1.54455i	−0.0228846	+	0.0772275i
$401$		−	30.3759i		−	1.51690i	−0.651732	−	0.758449i	$-0.725957\pi$
$401$		−	30.3759i		−	1.51690i	0.651732	−	0.758449i	$-0.274043\pi$
$402$	−19.6567	+	3.95154i	−0.980386	+	0.197085i
$403$		−	10.6143i		−	0.528736i
$404$	−21.7204	−	4.75324i	−1.08063	−	0.236483i
$405$	−18.2908	+	6.15022i	−0.908877	+	0.305607i
$406$	−0.210272	+	0.630460i	−0.0104356	+	0.0312892i
$407$	−0.474922	−	0.305214i	−0.0235410	−	0.0151289i
$408$	−33.8562	+	12.9305i	−1.67613	+	0.640157i
$409$	−3.22277	+	22.4148i	−0.159356	+	1.10834i	0.740469	+	0.672090i	$0.234603\pi$
$409$	−3.22277	+	22.4148i	−0.159356	+	1.10834i	−0.899825	+	0.436252i	$0.856306\pi$
$410$	−8.67244	−	4.34785i	−0.428301	−	0.214725i
$411$	25.7427	+	6.30531i	1.26979	+	0.311018i
$412$	6.82680	+	6.84379i	0.336333	+	0.337169i
$413$	1.51711	−	2.36067i	0.0746521	−	0.116161i
$414$	−30.1754	+	6.03095i	−1.48304	+	0.296405i
$415$	10.2675	−	4.68901i	0.504012	−	0.230175i
$416$	−11.0029	+	21.8115i	−0.539463	+	1.06940i
$417$	5.70200	−	0.259007i	0.279228	−	0.0126836i
$418$	−27.0222	−	18.7867i	−1.32170	−	0.918888i
$419$	27.0865	−	7.95331i	1.32326	−	0.388545i	0.457593	−	0.889162i	$-0.348712\pi$
$419$	27.0865	−	7.95331i	1.32326	−	0.388545i	0.865669	+	0.500617i	$0.166894\pi$
$420$	−8.08292	−	3.96096i	−0.394406	−	0.193275i
$421$	3.38781	+	23.5627i	0.165112	+	1.14838i	0.888815	+	0.458266i	$0.151529\pi$
$421$	3.38781	+	23.5627i	0.165112	+	1.14838i	−0.723704	+	0.690111i	$0.757562\pi$
$422$	9.08956	+	11.2938i	0.442473	+	0.549774i
$423$	−5.68556	+	2.24709i	−0.276442	+	0.109257i
$424$	4.31295	−	4.00052i	0.209455	−	0.194282i
$425$	2.25163	−	1.95104i	0.109220	−	0.0946396i
$426$	−3.11999	−	20.3855i	−0.151164	−	0.987679i
$427$	−12.9050	+	5.89351i	−0.624517	+	0.285207i
$428$	23.5375	−	5.08966i	1.13773	−	0.246018i
$429$	−22.7993	+	11.6902i	−1.10076	+	0.564411i
$430$	−30.6659	−	15.3741i	−1.47884	−	0.741404i
$431$	29.9164			1.44102			0.720511	−	0.693444i	$-0.243907\pi$
$431$	29.9164			1.44102			0.720511	+	0.693444i	$0.243907\pi$
$432$	−18.8269	−	8.80604i	−0.905811	−	0.423681i
$433$	9.23153	−	20.2142i	0.443639	−	0.971434i	−0.547277	−	0.836952i	$-0.684335\pi$
$433$	9.23153	−	20.2142i	0.443639	−	0.971434i	0.990916	−	0.134483i	$-0.0429372\pi$
$434$	3.08123	+	2.87230i	0.147904	+	0.137875i
$435$	0.0653477	+	1.43862i	0.00313318	+	0.0689765i
$436$	−1.98399	−	28.2327i	−0.0950159	−	1.35210i
$437$	37.2410	+	32.2695i	1.78148	+	1.54366i
$438$	−22.3491	−	14.0781i	−1.06788	−	0.672677i
$439$		−	22.5873i		−	1.07803i	−0.842295	−	0.539017i	$-0.818796\pi$
$439$		−	22.5873i		−	1.07803i	0.842295	−	0.539017i	$-0.181204\pi$
$440$	20.6498	+	2.25902i	0.984443	+	0.107695i
$441$	9.68502	−	13.4744i	0.461192	−	0.641639i
$442$	38.8707	−	23.0304i	1.84889	−	1.09545i
$443$	−12.6944	+	3.72741i	−0.603129	+	0.177095i	−0.569020	−	0.822324i	$-0.692677\pi$
$443$	−12.6944	+	3.72741i	−0.603129	+	0.177095i	−0.0341084	+	0.999418i	$0.510859\pi$
$444$	0.145864	+	0.551980i	0.00692238	+	0.0261958i
$445$	−5.72115	+	1.67988i	−0.271209	+	0.0796340i
$446$	−11.7668	−	14.6203i	−0.557173	−	0.692289i
$447$	−5.99071	−	6.31071i	−0.283351	−	0.298486i
$448$	−3.35422	−	9.09640i	−0.158472	−	0.429764i
$449$	17.7829	−	15.4090i	0.839229	−	0.727196i	−0.125031	−	0.992153i	$-0.539903\pi$
$449$	17.7829	−	15.4090i	0.839229	−	0.727196i	0.964260	+	0.264957i	$0.0853576\pi$
$450$	1.70199	+	0.150739i	0.0802328	+	0.00710589i
$451$	3.08750	−	10.5151i	0.145385	−	0.495135i
$452$	1.03767	+	4.79876i	0.0488077	+	0.225715i
$453$	14.1627	−	17.9277i	0.665420	−	0.842317i
$454$	14.6696	−	1.56793i	0.688478	−	0.0735865i
$455$	10.7670	+	3.16149i	0.504767	+	0.148213i
$456$	7.32930	+	32.4663i	0.343226	+	1.52038i
$457$	−1.95831	−	4.28809i	−0.0916057	−	0.200589i	0.858283	−	0.513177i	$-0.171531\pi$
$457$	−1.95831	−	4.28809i	−0.0916057	−	0.200589i	−0.949889	+	0.312588i	$0.898804\pi$
$458$	−2.19968	+	3.16395i	−0.102784	+	0.147841i
$459$	20.5676	+	32.4746i	0.960012	+	1.51578i
$460$	−30.3839	−	6.64916i	−1.41666	−	0.310019i
$461$	4.35790	+	1.99019i	0.202968	+	0.0926923i	0.514305	−	0.857607i	$-0.328050\pi$
$461$	4.35790	+	1.99019i	0.202968	+	0.0926923i	−0.311338	+	0.950299i	$0.600777\pi$
$462$	2.77609	−	9.78190i	0.129155	−	0.455095i
$463$	−10.8365	−	16.8619i	−0.503613	−	0.783637i	0.492630	−	0.870239i	$-0.336036\pi$
$463$	−10.8365	−	16.8619i	−0.503613	−	0.783637i	−0.996243	+	0.0866015i	$0.972399\pi$
$464$	−1.01867	+	1.16972i	−0.0472906	+	0.0543031i
$465$	8.46632	+	3.41111i	0.392616	+	0.158186i
$466$	13.3944	+	16.6425i	0.620482	+	0.770950i
$467$	−2.45089	+	17.0463i	−0.113414	+	0.788808i	0.851143	+	0.524933i	$0.175910\pi$
$467$	−2.45089	+	17.0463i	−0.113414	+	0.788808i	−0.964557	+	0.263875i	$0.914999\pi$
$468$	24.9903	+	6.84787i	1.15518	+	0.316543i
$469$	−3.69681	+	9.20516i	−0.170703	+	0.425055i
$470$	−6.17516	−	0.224387i	−0.284839	−	0.0103502i
$471$	−8.39194	+	34.2618i	−0.386680	+	1.57870i
$472$	5.38662	−	3.72514i	0.247939	−	0.171464i
$473$	10.9175	−	37.1814i	0.501985	−	1.70960i
$474$	5.61744	+	4.77901i	0.258018	+	0.219507i
$475$	−1.47928	−	2.30180i	−0.0678738	−	0.105614i
$476$	−3.83317	+	17.5160i	−0.175693	+	0.802844i
$477$	−5.06652	−	3.64167i	−0.231980	−	0.166741i
$478$	39.7323	+	7.19398i	1.81731	+	0.329045i
$479$	15.7940	−	18.2273i	0.721648	−	0.832826i	−0.269856	−	0.962901i	$-0.586976\pi$
$479$	15.7940	−	18.2273i	0.721648	−	0.832826i	0.991504	+	0.130075i	$0.0415217\pi$
$480$	−13.8616	−	15.7858i	−0.632693	−	0.720522i
$481$	−0.295675	−	0.647438i	−0.0134816	−	0.0295206i
$482$	−3.10451	+	1.28367i	−0.141407	+	0.0584697i
$483$	−5.68959	+	14.1215i	−0.258885	+	0.642550i
$484$	0.102772	+	1.46247i	0.00467146	+	0.0664761i
$485$	−18.2699	+	28.4286i	−0.829595	+	1.29088i
$486$	−5.19220	+	21.4252i	−0.235523	+	0.971869i
$487$	10.4118	−	35.4594i	0.471804	−	1.60682i	−0.288656	−	0.957433i	$-0.593208\pi$
$487$	10.4118	−	35.4594i	0.471804	−	1.60682i	0.760460	−	0.649385i	$-0.224973\pi$
$488$	−33.0922	+	1.12015i	−1.49801	+	0.0507068i
$489$	24.8875	−	17.6397i	1.12545	−	0.797693i
$490$	14.4298	−	8.54947i	0.651871	−	0.386226i
$491$	−9.09197	+	10.4927i	−0.410315	+	0.473529i	−0.922862	−	0.385130i	$-0.874156\pi$
$491$	−9.09197	+	10.4927i	−0.410315	+	0.473529i	0.512547	+	0.858659i	$0.328702\pi$
$492$	−9.48336	+	5.73564i	−0.427543	+	0.258583i
$493$	2.75248	−	0.808201i	0.123966	−	0.0363996i
$494$	−15.8550	−	38.3447i	−0.713350	−	1.72521i
$495$	−1.99754	−	21.9424i	−0.0897827	−	0.986238i
$496$	4.06182	+	8.95295i	0.182381	+	0.401999i
$497$	−9.28115	−	4.23856i	−0.416316	−	0.190125i
$498$	1.71930	−	12.7800i	0.0770438	−	0.572684i
$499$			13.1359i			0.588042i	0.955799	+	0.294021i	$0.0949936\pi$
$499$			13.1359i			0.588042i	−0.955799	+	0.294021i	$0.905006\pi$
$500$	20.3205	+	11.1286i	0.908760	+	0.497687i
$501$	26.8711	−	25.5086i	1.20051	−	1.13964i
$502$	5.76235	−	0.615897i	0.257186	−	0.0274888i
$503$	−4.56215	−	31.7305i	−0.203416	−	1.41479i	−0.794050	−	0.607852i	$-0.792031\pi$
$503$	−4.56215	−	31.7305i	−0.203416	−	1.41479i	0.590634	−	0.806940i	$-0.298878\pi$
$504$	−8.75042	+	5.40137i	−0.389775	+	0.240596i
$505$	−9.90209	+	21.6826i	−0.440637	+	0.964861i
$506$	1.27587	−	35.1120i	0.0567192	−	1.56092i
$507$	−9.74009	−	0.951764i	−0.432572	−	0.0422693i
$508$	11.0064	+	6.02769i	0.488328	+	0.267436i
$509$	−2.32727	−	3.62131i	−0.103155	−	0.160512i	0.785839	−	0.618431i	$-0.212231\pi$
$509$	−2.32727	−	3.62131i	−0.103155	−	0.160512i	−0.888994	+	0.457919i	$0.848595\pi$
$510$	5.87801	+	38.4058i	0.260282	+	1.70064i
$511$	−11.8872	+	5.42871i	−0.525860	+	0.240152i
$512$	0.934027	−	22.6081i	0.0412786	−	0.999148i
$513$	32.2085	−	14.4522i	1.42204	−	0.638079i
$514$	−6.92904	+	7.43305i	−0.305627	+	0.327858i
$515$	8.71805	−	5.60275i	0.384163	−	0.246887i
$516$	−33.5334	+	20.2813i	−1.47622	+	0.892836i
$517$	−0.993402	−	6.90926i	−0.0436898	−	0.303869i
$518$	0.267957	+	0.0893695i	0.0117733	+	0.00392667i
$519$	4.85494	+	25.4925i	0.213108	+	1.11900i
$520$	20.3620	+	16.4714i	0.892934	+	0.722320i
$521$	−17.7158	+	2.54715i	−0.776145	+	0.111593i	−0.518993	−	0.854778i	$-0.673693\pi$
$521$	−17.7158	+	2.54715i	−0.776145	+	0.111593i	−0.257152	+	0.966371i	$0.582784\pi$
$522$	1.43040	+	0.812801i	0.0626069	+	0.0355753i
$523$	−19.5087	+	8.90934i	−0.853058	+	0.389578i	−0.793444	−	0.608643i	$-0.791714\pi$
$523$	−19.5087	+	8.90934i	−0.853058	+	0.389578i	−0.0596136	+	0.998222i	$0.518987\pi$
$524$	−6.88111	−	18.5192i	−0.300603	−	0.809015i
$525$	0.524033	−	0.663344i	0.0228707	−	0.0289507i
$526$	18.8683	+	17.5889i	0.822696	+	0.766911i
$527$	2.58761	−	17.9972i	0.112718	−	0.783972i
$528$	14.7572	−	18.5852i	0.642226	−	0.808818i
$529$	−4.21352	+	29.3057i	−0.183196	+	1.27416i
$530$	−3.21469	−	5.42574i	−0.139637	−	0.235679i
$531$	−5.00621	−	4.81578i	−0.217251	−	0.208987i
$532$	15.4216	+	5.77379i	0.668611	+	0.250326i
$533$	10.4420	−	9.04806i	0.452294	−	0.391915i
$534$	−1.85976	+	6.55310i	−0.0804797	+	0.283580i
$535$		−	25.8169i		−	1.11616i
$536$	−16.2235	+	16.5166i	−0.700751	+	0.713406i
$537$	−30.4965	−	2.98000i	−1.31602	−	0.128597i
$538$	2.80685	−	15.5022i	0.121012	−	0.668347i
$539$	12.4075	+	14.3190i	0.534428	+	0.616762i
$540$	−13.4932	+	17.7324i	−0.580655	+	0.763081i
$541$	−7.78808	−	5.00510i	−0.334836	−	0.215186i	0.362409	−	0.932019i	$-0.381954\pi$
$541$	−7.78808	−	5.00510i	−0.334836	−	0.215186i	−0.697245	+	0.716833i	$0.745591\pi$
$542$	−9.24741	+	5.47898i	−0.397210	+	0.235342i
$543$	−4.55029	+	18.5775i	−0.195272	+	0.797236i
$544$	−23.9735	+	34.3005i	−1.02786	+	1.47062i
$545$	−30.0330	−	4.31809i	−1.28647	−	0.184967i
$546$	9.61199	−	8.48272i	0.411355	−	0.363027i
$547$	9.70095	−	15.0950i	0.414783	−	0.645415i	−0.569505	−	0.821988i	$-0.692865\pi$
$547$	9.70095	−	15.0950i	0.414783	−	0.645415i	0.984287	+	0.176574i	$0.0565013\pi$
$548$	28.6875	−	10.6593i	1.22547	−	0.455343i
$549$	8.12903	+	34.1659i	0.346939	+	1.45817i
$550$	−0.617249	+	1.85070i	−0.0263196	+	0.0789140i
$551$	−0.374934	−	2.60772i	−0.0159727	−	0.111093i
$552$	−24.9279	+	25.3213i	−1.06100	+	1.07775i
$553$	3.50112	−	1.02802i	0.148883	−	0.0437159i
$554$	0.547114	−	1.64041i	0.0232447	−	0.0696945i
$555$	0.611439	−	0.0277739i	0.0259541	−	0.00117894i
$556$	5.28118	−	3.94322i	0.223972	−	0.167230i
$557$	15.6392	+	24.3351i	0.662654	+	1.03111i	0.996091	+	0.0883371i	$0.0281553\pi$
$557$	15.6392	+	24.3351i	0.662654	+	1.03111i	−0.333437	+	0.942772i	$0.608208\pi$
$558$	8.45238	−	6.10678i	0.357818	−	0.258521i
$559$	36.9232	−	31.9941i	1.56168	−	1.35321i
$560$	−10.2916	+	1.45362i	−0.434900	+	0.0614267i
$561$	−41.5077	+	14.2634i	−1.75246	+	0.602203i
$562$	−17.1512	+	4.36623i	−0.723479	+	0.184178i
$563$	9.73562	−	6.25671i	0.410308	−	0.263689i	−0.319164	−	0.947699i	$-0.603402\pi$
$563$	9.73562	−	6.25671i	0.410308	−	0.263689i	0.729472	+	0.684011i	$0.239766\pi$
$564$	−3.97692	+	5.83245i	−0.167459	+	0.245591i
$565$	5.26347			0.221436
$566$	37.2861	+	1.35487i	1.56725	+	0.0569493i
$567$	7.45671	+	7.95991i	0.313152	+	0.334285i
$568$	−16.1942	−	17.4590i	−0.679495	−	0.732562i
$569$	5.23007	−	0.751970i	0.219256	−	0.0315242i	−0.0318114	−	0.999494i	$-0.510128\pi$
$569$	5.23007	−	0.751970i	0.219256	−	0.0315242i	0.251067	+	0.967970i	$0.419218\pi$
$570$	35.6804	−	0.323687i	1.49449	−	0.0135578i
$571$	7.25834	+	6.28939i	0.303752	+	0.263203i	0.793377	−	0.608730i	$-0.208321\pi$
$571$	7.25834	+	6.28939i	0.303752	+	0.263203i	−0.489625	+	0.871933i	$0.662866\pi$
$572$	−14.2110	+	25.9488i	−0.594192	+	1.08498i
$573$	−38.4225	−	3.75450i	−1.60512	−	0.156847i
$574$	−0.199116	+	5.47969i	−0.00831093	+	0.228718i
$575$	1.21345	−	2.65709i	0.0506045	−	0.110808i
$576$	−23.6993	+	3.78710i	−0.987472	+	0.157796i
$577$	9.12313	−	2.67879i	0.379801	−	0.111520i	−0.0862591	−	0.996273i	$-0.527491\pi$
$577$	9.12313	−	2.67879i	0.379801	−	0.111520i	0.466060	+	0.884753i	$0.345673\pi$
$578$	49.3050	−	20.3869i	2.05082	−	0.847985i
$579$	24.4494	−	4.65630i	1.01608	−	0.193509i
$580$	0.994876	+	1.33245i	0.0413100	+	0.0553268i
$581$	−4.82159	−	4.17793i	−0.200033	−	0.173330i
$582$	16.3554	+	34.9703i	0.677953	+	1.44956i
$583$	5.38408	−	4.66534i	0.222986	−	0.193218i
$584$	−30.4823	+	1.03181i	−1.26137	+	0.0426965i
$585$	12.8378	−	24.6343i	0.530779	−	1.01850i
$586$	1.22764	−	0.312525i	0.0507135	−	0.0129103i
$587$	−7.90125	−	5.07782i	−0.326119	−	0.209584i	0.367328	−	0.930091i	$-0.380273\pi$
$587$	−7.90125	−	5.07782i	−0.326119	−	0.209584i	−0.693447	+	0.720507i	$0.743909\pi$
$588$	0.522064	−	19.1540i	0.0215296	−	0.789896i
$589$	−16.0219	−	4.70444i	−0.660169	−	0.193843i
$590$	−2.68286	−	6.48839i	−0.110452	−	0.267123i
$591$	−12.6097	+	4.33311i	−0.518693	+	0.178240i
$592$	0.497154	+	0.432954i	0.0204329	+	0.0177943i
$593$	−18.1112	−	15.6934i	−0.743738	−	0.644452i	0.198230	−	0.980155i	$-0.436481\pi$
$593$	−18.1112	−	15.6934i	−0.743738	−	0.644452i	−0.941968	+	0.335703i	$0.891026\pi$
$594$	−22.4264	−	11.4297i	−0.920168	−	0.468968i
$595$	17.4855	+	7.98536i	0.716836	+	0.327368i
$596$	−9.81519	−	2.14794i	−0.402046	−	0.0879830i
$597$	13.9757	+	27.2567i	0.571988	+	1.11554i
$598$	25.2864	−	36.3712i	1.03404	−	1.48733i
$599$	−34.3921	−	10.0984i	−1.40522	−	0.412611i	−0.510748	−	0.859730i	$-0.670632\pi$
$599$	−34.3921	−	10.0984i	−1.40522	−	0.412611i	−0.894474	+	0.447120i	$0.852450\pi$
$600$	1.72419	−	0.959081i	0.0703899	−	0.0391543i
$601$	5.03217	−	34.9995i	0.205267	−	1.42766i	−0.583073	−	0.812420i	$-0.698150\pi$
$601$	5.03217	−	34.9995i	0.205267	−	1.42766i	0.788339	−	0.615241i	$-0.210941\pi$
$602$	−0.704077	+	19.3763i	−0.0286960	+	0.789719i
$603$	20.5845	+	13.3895i	0.838266	+	0.545261i
$604$	1.91472	−	26.3118i	0.0779087	−	1.07061i
$605$	1.55573	+	0.223680i	0.0632495	+	0.00909390i
$606$	14.9296	+	22.7741i	0.606475	+	0.925133i
$607$	−4.63029	+	15.7693i	−0.187938	+	0.640056i	0.810580	+	0.585628i	$0.199152\pi$
$607$	−4.63029	+	15.7693i	−0.187938	+	0.640056i	−0.998518	+	0.0544287i	$0.982666\pi$
$608$	28.0469	+	26.2757i	1.13745	+	1.06562i
$609$	0.724304	−	0.371383i	0.0293503	−	0.0150492i
$610$	−6.32434	+	34.9293i	−0.256065	+	1.41424i
$611$	3.65590	−	8.00530i	0.147902	−	0.323860i
$612$	40.7033	+	17.7033i	1.64533	+	0.715613i
$613$	−1.36612	+	1.57658i	−0.0551770	+	0.0636777i	−0.782667	−	0.622441i	$-0.786141\pi$
$613$	−1.36612	+	1.57658i	−0.0551770	+	0.0636777i	0.727490	+	0.686118i	$0.240687\pi$
$614$	−7.14330	−	4.96626i	−0.288280	−	0.200422i
$615$	3.86130	+	11.2367i	0.155703	+	0.453107i
$616$	−3.68711	−	11.1473i	−0.148558	−	0.449136i
$617$	−8.12484	+	27.6707i	−0.327094	+	1.11398i	0.617727	+	0.786392i	$0.288054\pi$
$617$	−8.12484	+	27.6707i	−0.327094	+	1.11398i	−0.944821	+	0.327587i	$0.893765\pi$
$618$	−0.107398	−	11.8386i	−0.00432019	−	0.476218i
$619$	−8.32405	+	12.9525i	−0.334572	+	0.520604i	−0.967255	−	0.253807i	$-0.918317\pi$
$619$	−8.32405	+	12.9525i	−0.334572	+	0.520604i	0.632683	+	0.774411i	$0.281954\pi$
$620$	10.3016	−	2.22758i	0.413723	−	0.0894619i
$621$	31.5696	+	20.5852i	1.26684	+	0.826055i
$622$	14.5226	−	1.55221i	0.582302	−	0.0622381i
$623$	2.20701	+	2.54702i	0.0884219	+	0.102044i
$624$	28.3201	−	9.65313i	1.13371	−	0.386435i
$625$	14.9466	−	17.2493i	0.597865	−	0.689973i
$626$	0.398196	−	0.320479i	0.0159151	−	0.0128089i
$627$	7.54089	+	39.5960i	0.301154	+	1.58131i
$628$	14.1868	+	38.1811i	0.566115	+	1.52359i
$629$	−0.343500	−	1.16985i	−0.0136962	−	0.0466451i
$630$	3.67711	+	10.3929i	0.146499	+	0.414064i
$631$	6.61605	+	3.02145i	0.263381	+	0.120282i	0.542729	−	0.839908i	$-0.317391\pi$
$631$	6.61605	+	3.02145i	0.263381	+	0.120282i	−0.279348	+	0.960190i	$0.590118\pi$
$632$	8.46572	+	0.926121i	0.336748	+	0.0368391i
$633$	1.72677	−	17.6713i	0.0686329	−	0.702370i
$634$	−2.35919	+	4.70577i	−0.0936956	+	0.186890i
$635$	8.80992	−	10.1672i	0.349611	−	0.403473i
$636$	−7.20208	−	0.196301i	−0.285581	−	0.00778386i
$637$	3.39955	+	23.6444i	0.134695	+	0.936825i
$638$	−1.28087	+	1.37404i	−0.0507103	+	0.0543989i
$639$	−14.7416	+	20.5095i	−0.583169	+	0.811342i
$640$	−23.4782	−	6.10130i	−0.928056	−	0.241175i
$641$			49.9972i			1.97477i	0.158340	+	0.987385i	$0.449386\pi$
$641$			49.9972i			1.97477i	−0.158340	+	0.987385i	$0.550614\pi$
$642$	−24.9553	−	15.7198i	−0.984908	−	0.620410i
$643$	19.7687	+	30.7607i	0.779601	+	1.21308i	0.972737	+	0.231910i	$0.0744976\pi$
$643$	19.7687	+	30.7607i	0.779601	+	1.21308i	−0.193137	+	0.981172i	$0.561866\pi$
$644$	3.71552	+	17.1827i	0.146412	+	0.677094i
$645$	13.6536	+	39.7331i	0.537611	+	1.56449i
$646$	−17.5353	−	68.8812i	−0.689918	−	2.71009i
$647$	19.1437	+	22.0930i	0.752618	+	0.868567i	0.994819	−	0.101659i	$-0.0324150\pi$
$647$	19.1437	+	22.0930i	0.752618	+	0.868567i	−0.242202	+	0.970226i	$0.577870\pi$
$648$	8.92470	+	23.8401i	0.350595	+	0.936527i
$649$	6.67233	−	4.28804i	0.261912	−	0.168320i
$650$	−1.91615	+	1.54217i	−0.0751578	+	0.0604890i
$651$	−0.234104	−	5.15377i	−0.00917528	−	0.201992i
$652$	12.3505	−	32.9878i	0.483683	−	1.29190i
$653$	−3.89342	−	13.2598i	−0.152361	−	0.518896i	0.847569	−	0.530685i	$-0.178065\pi$
$653$	−3.89342	−	13.2598i	−0.152361	−	0.518896i	−0.999930	+	0.0117896i	$0.996247\pi$
$654$	−22.4609	+	26.4014i	−0.878291	+	1.03238i
$655$	−20.9644	+	3.01422i	−0.819146	+	0.117775i
$656$	−5.34517	+	11.6278i	−0.208694	+	0.453988i
$657$	7.48792	+	31.4714i	0.292132	+	1.22781i
$658$	1.33455	+	3.22756i	0.0520262	+	0.125823i
$659$	18.5163	+	11.8997i	0.721292	+	0.463546i	0.849086	−	0.528255i	$-0.177153\pi$
$659$	18.5163	+	11.8997i	0.721292	+	0.463546i	−0.127794	+	0.991801i	$0.540790\pi$
$660$	−16.1307	−	19.6743i	−0.627886	−	0.765823i
$661$	4.49735	−	31.2797i	0.174927	−	1.21664i	−0.693365	−	0.720587i	$-0.743873\pi$
$661$	4.49735	−	31.2797i	0.174927	−	1.21664i	0.868292	−	0.496054i	$-0.165218\pi$
$662$	−14.8703	+	29.6611i	−0.577952	+	1.15281i
$663$	−53.7466	−	13.1645i	−2.08734	−	0.511265i
$664$	−6.64019	−	13.3274i	−0.257689	−	0.517203i
$665$	9.54428	−	14.8512i	0.370111	−	0.575904i
$666$	0.345455	−	0.607946i	0.0133861	−	0.0235574i
$667$	2.12561	−	1.84185i	0.0823038	−	0.0713166i
$668$	9.14596	−	41.7933i	0.353868	−	1.61703i
$669$	−2.23537	+	22.8761i	−0.0864243	+	0.884442i
$670$	13.6308	+	20.7421i	0.526604	+	0.801337i
$671$	−40.0991			−1.54801
$672$	−4.86140	+	10.8333i	−0.187533	+	0.417902i
$673$	−9.70756	−	11.2031i	−0.374199	−	0.431849i	0.537148	−	0.843488i	$-0.319502\pi$
$673$	−9.70756	−	11.2031i	−0.374199	−	0.431849i	−0.911347	+	0.411639i	$0.864956\pi$
$674$	15.1179	−	45.3281i	0.582320	−	1.74597i
$675$	−1.35990	−	1.59057i	−0.0523427	−	0.0612212i
$676$	−9.92489	+	5.40340i	−0.381726	+	0.207823i
$677$	−12.3240	−	1.77192i	−0.473649	−	0.0681005i	−0.0986432	−	0.995123i	$-0.531450\pi$
$677$	−12.3240	−	1.77192i	−0.473649	−	0.0681005i	−0.375006	+	0.927022i	$0.622359\pi$
$678$	3.20490	−	5.08782i	0.123084	−	0.195397i
$679$	18.9059	+	2.71826i	0.725544	+	0.104317i
$680$	30.5096	+	32.8924i	1.16999	+	1.26136i
$681$	−14.1784	−	11.2007i	−0.543317	−	0.429213i
$682$	4.54943	+	11.0026i	0.174207	+	0.421313i
$683$	−12.8215	−	28.0752i	−0.490602	−	1.07427i	−0.979411	−	0.201877i	$-0.935296\pi$
$683$	−12.8215	−	28.0752i	−0.490602	−	1.07427i	0.488809	−	0.872391i	$-0.337431\pi$
$684$	21.4127	−	34.6867i	0.818735	−	1.32628i
$685$	−4.66923	−	32.4752i	−0.178402	−	1.24081i
$686$	−17.6341	−	12.2598i	−0.673273	−	0.468082i
$687$	4.63618	−	0.882941i	0.176881	−	0.0336863i
$688$	−18.9006	+	41.1160i	−0.720580	+	1.56753i
$689$	8.89053	−	1.27827i	0.338702	−	0.0486980i
$690$	20.8846	+	31.8579i	0.795063	+	1.21281i
$691$	−26.4193	−	41.1093i	−1.00504	−	1.56387i	−0.812818	−	0.582518i	$-0.802068\pi$
$691$	−26.4193	−	41.1093i	−1.00504	−	1.56387i	−0.192220	−	0.981352i	$-0.561569\pi$
$692$	21.1623	+	21.2149i	0.804470	+	0.806471i
$693$	−10.8124	+	6.17905i	−0.410728	+	0.234723i
$694$	5.01020	+	19.6808i	0.190185	+	0.747073i
$695$	−2.93526	−	6.42732i	−0.111341	−	0.243802i
$696$	1.89376	−	0.150355i	0.0717826	−	0.00569921i
$697$	19.9109	−	12.7960i	0.754180	−	0.484682i
$698$	−14.5815	−	7.31033i	−0.551919	−	0.276700i
$699$	2.54456	−	26.0403i	0.0962442	−	0.984936i
$700$	0.0708465	−	0.973565i	0.00267774	−	0.0367973i
$701$	35.0290	+	15.9972i	1.32303	+	0.604205i	0.946651	−	0.322262i	$-0.104443\pi$
$701$	35.0290	+	15.9972i	1.32303	+	0.604205i	0.376375	+	0.926467i	$0.377170\pi$
$702$	−15.9953	−	27.4091i	−0.603705	−	1.03449i
$703$	−1.10833	+	0.159354i	−0.0418014	+	0.00601014i
$704$	2.05675	−	27.3255i	0.0775166	−	1.02987i
$705$	5.21040	+	5.48872i	0.196235	+	0.206717i
$706$	−2.63855	+	5.26299i	−0.0993032	+	0.198075i
$707$	13.4728			0.506697
$708$	−7.90544	−	1.35742i	−0.297105	−	0.0510151i
$709$	−3.52284	+	7.71393i	−0.132303	+	0.289703i	−0.964176	−	0.265263i	$-0.914541\pi$
$709$	−3.52284	+	7.71393i	−0.132303	+	0.289703i	0.831873	+	0.554966i	$0.187269\pi$
$710$	−21.9636	+	13.0132i	−0.824279	+	0.488375i
$711$	−0.818923	−	8.99563i	−0.0307120	−	0.337362i
$712$	2.47007	+	7.46779i	0.0925698	+	0.279867i
$713$	−5.02236	−	17.1046i	−0.188089	−	0.640572i
$714$	18.3657	−	12.0397i	0.687320	−	0.450576i
$715$	23.9704	+	20.7705i	0.896442	+	0.776771i
$716$	−31.0751	+	16.9182i	−1.16133	+	0.632263i
$717$	−28.5966	−	40.3465i	−1.06796	−	1.50677i
$718$	−1.33344	+	0.142522i	−0.0497634	+	0.00531886i
$719$	26.7833	+	7.86428i	0.998847	+	0.293288i	0.739983	−	0.672626i	$-0.234834\pi$
$719$	26.7833	+	7.86428i	0.998847	+	0.293288i	0.258864	+	0.965914i	$0.416652\pi$
$720$	−1.40153	+	25.6913i	−0.0522321	+	0.957458i
$721$	−4.92757	−	3.16676i	−0.183512	−	0.117936i
$722$	−38.1891	+	4.08176i	−1.42125	+	0.151907i
$723$	3.81634	+	1.53761i	0.141931	+	0.0571845i
$724$	7.69239	+	20.7026i	0.285885	+	0.769406i
$725$	−0.142059	+	0.0648759i	−0.00527592	+	0.00240943i
$726$	1.16349	−	1.36762i	0.0431813	−	0.0507570i
$727$	22.7642	+	19.7253i	0.844278	+	0.731571i	0.965318	−	0.261077i	$-0.0840776\pi$
$727$	22.7642	+	19.7253i	0.844278	+	0.731571i	−0.121040	+	0.992648i	$0.538623\pi$
$728$	3.68760	−	14.3363i	0.136672	−	0.531340i
$729$	22.9052	−	14.2952i	0.848339	−	0.529453i
$730$	−5.82556	+	32.1745i	−0.215613	+	1.19083i
$731$	70.4054	−	45.2468i	2.60404	−	1.67351i
$732$	29.9128	+	27.3815i	1.10561	+	1.01205i
$733$	24.7084	+	7.25503i	0.912624	+	0.267971i	0.704145	−	0.710056i	$-0.251331\pi$
$733$	24.7084	+	7.25503i	0.912624	+	0.267971i	0.208479	+	0.978027i	$0.433149\pi$
$734$	25.0796	+	31.1615i	0.925706	+	1.15019i
$735$	−19.9521	−	4.88697i	−0.735943	−	0.180259i
$736$	−7.41030	+	40.3548i	−0.273147	+	1.48750i
$737$	−20.3129	+	19.3262i	−0.748234	+	0.711888i
$738$	13.2128	+	3.10952i	0.486370	+	0.114463i
$739$	−39.6858	−	5.70596i	−1.45987	−	0.209897i	−0.633811	−	0.773488i	$-0.718510\pi$
$739$	−39.6858	−	5.70596i	−1.45987	−	0.209897i	−0.826054	+	0.563591i	$0.809420\pi$
$740$	0.566314	−	0.422840i	0.0208181	−	0.0155439i
$741$	−18.9915	+	47.1367i	−0.697671	+	1.73161i
$742$	−2.03477	+	2.92675i	−0.0746988	+	0.107444i
$743$	−28.8448	+	18.5374i	−1.05821	+	0.680072i	−0.949425	−	0.313993i	$-0.898333\pi$
$743$	−28.8448	+	18.5374i	−1.05821	+	0.680072i	−0.108787	+	0.994065i	$0.534697\pi$
$744$	4.11937	−	11.3142i	0.151023	−	0.414799i
$745$	−4.47465	+	9.79811i	−0.163938	+	0.358975i
$746$	−5.72816	−	1.03715i	−0.209723	−	0.0379727i
$747$	−12.4573	+	9.70782i	−0.455788	+	0.355191i
$748$	−30.4217	+	40.5335i	−1.11233	+	1.48205i
$749$	−13.2734	+	6.06177i	−0.485000	+	0.221492i
$750$	−8.24087	−	27.1522i	−0.300914	−	0.991457i
$751$	11.7069	−	39.8699i	0.427190	−	1.45487i	−0.412074	−	0.911150i	$-0.635196\pi$
$751$	11.7069	−	39.8699i	0.427190	−	1.45487i	0.839264	−	0.543724i	$-0.182986\pi$
$752$	−0.0202529	+	8.15133i	−0.000738548	+	0.297248i
$753$	−5.56940	−	4.39975i	−0.202960	−	0.160336i
$754$	−2.29511	+	0.584275i	−0.0835831	+	0.0212780i
$755$	−27.1369	−	7.96810i	−0.987611	−	0.289989i
$756$	12.2851	+	2.77381i	0.446804	+	0.100882i
$757$	5.85413	+	6.75603i	0.212772	+	0.245552i	0.852096	−	0.523385i	$-0.175331\pi$
$757$	5.85413	+	6.75603i	0.212772	+	0.245552i	−0.639324	+	0.768937i	$0.720786\pi$
$758$	−1.83243	+	1.08569i	−0.0665570	+	0.0394342i
$759$	−31.2089	+	29.6264i	−1.13281	+	1.07537i
$760$	33.8878	−	23.4352i	1.22924	−	0.850085i
$761$	2.39385	+	8.15272i	0.0867772	+	0.295536i	0.991435	−	0.130603i	$-0.0416915\pi$
$761$	2.39385	+	8.15272i	0.0867772	+	0.295536i	−0.904658	+	0.426139i	$0.859873\pi$
$762$	−4.46357	−	14.7067i	−0.161698	−	0.532766i
$763$	4.83161	+	16.4549i	0.174916	+	0.595709i
$764$	−39.1515	+	21.3152i	−1.41645	+	0.771159i
$765$	27.7729	−	38.6394i	1.00413	−	1.39701i
$766$	−0.0232338	+	0.639396i	−0.000839470	+	0.0231023i
$767$	9.99971			0.361068
$768$	−20.1934	+	18.9796i	−0.728668	+	0.684867i
$769$	−19.2818	+	22.2524i	−0.695321	+	0.802443i	−0.988112	−	0.153733i	$-0.950870\pi$
$769$	−19.2818	+	22.2524i	−0.695321	+	0.802443i	0.292791	+	0.956176i	$0.405416\pi$
$770$	−12.5160	+	1.33775i	−0.451046	+	0.0482091i
$771$	12.4328	−	0.564745i	0.447755	−	0.0203388i
$772$	20.3469	−	20.2964i	0.732301	−	0.730484i
$773$	19.8010	+	9.04280i	0.712191	+	0.325247i	0.738356	−	0.674411i	$-0.235602\pi$
$773$	19.8010	+	9.04280i	0.712191	+	0.325247i	−0.0261650	+	0.999658i	$0.508330\pi$
$774$	46.7208	+	10.9953i	1.67934	+	0.395218i
$775$			0.989847i			0.0355563i
$776$	38.2955	+	22.8184i	1.37473	+	0.819132i
$777$	−0.157845	−	0.307842i	−0.00566264	−	0.0110438i
$778$	43.0403	−	10.9569i	1.54307	−	0.392824i
$779$	−9.02960	−	19.7721i	−0.323519	−	0.708408i
$780$	−3.69817	−	31.8623i	−0.132416	−	1.14085i
$781$	−18.8854	−	21.7950i	−0.675774	−	0.779885i
$782$	51.7416	−	55.5052i	1.85028	−	1.98486i
$783$	−0.554864	−	1.93705i	−0.0198292	−	0.0692245i
$784$	−11.9156	−	18.6426i	−0.425556	−	0.665809i
$785$	43.2223	−	6.21443i	1.54267	−	0.221802i
$786$	−9.85147	+	22.1001i	−0.351390	+	0.788284i
$787$	2.68711	+	9.15145i	0.0957851	+	0.326214i	0.993420	−	0.114525i	$-0.0365346\pi$
$787$	2.68711	+	9.15145i	0.0957851	+	0.326214i	−0.897635	+	0.440739i	$0.854716\pi$
$788$	−9.24184	+	12.3137i	−0.329227	+	0.438659i
$789$	−1.43356	−	31.5597i	−0.0510362	−	1.12356i
$790$	2.88861	−	8.66092i	0.102772	−	0.308142i
$791$	−1.23586	−	2.70615i	−0.0439420	−	0.0962195i
$792$	−28.8397	+	3.61277i	−1.02477	+	0.128374i
$793$	−42.5303	−	27.3325i	−1.51029	−	0.970607i
$794$	31.1320	+	29.0210i	1.10483	+	1.02992i
$795$	−1.83755	+	7.50218i	−0.0651713	+	0.266075i
$796$	31.0219	+	16.9893i	1.09954	+	0.602170i
$797$	−23.8762	−	3.43288i	−0.845738	−	0.121599i	−0.294195	−	0.955745i	$-0.595052\pi$
$797$	−23.8762	−	3.43288i	−0.845738	−	0.121599i	−0.551543	+	0.834147i	$0.685961\pi$
$798$	−8.54411	−	18.2686i	−0.302458	−	0.646701i
$799$	8.15039	−	12.6822i	0.288340	−	0.448666i
$800$	1.02609	−	2.03406i	0.0362777	−	0.0719147i
$801$	7.24344	−	4.13948i	0.255934	−	0.146261i
$802$	−7.65358	+	42.2707i	−0.270257	+	1.49263i
$803$	−36.9366			−1.30346
$804$	28.3496	−	0.546168i	0.999814	−	0.0192619i
$805$	18.8467			0.664258
$806$	−2.67441	+	14.7707i	−0.0942019	+	0.520277i
$807$	−15.7418	+	11.1574i	−0.554139	+	0.392760i
$808$	29.0281	+	12.0873i	1.02121	+	0.425229i
$809$	−13.1128	+	20.4039i	−0.461022	+	0.717364i	−0.991467	−	0.130355i	$-0.958388\pi$
$809$	−13.1128	+	20.4039i	−0.461022	+	0.717364i	0.530446	+	0.847719i	$0.322025\pi$
$810$	27.0029	−	3.94997i	0.948784	−	0.138788i
$811$	−10.7399	−	1.54416i	−0.377129	−	0.0542229i	−0.0488557	−	0.998806i	$-0.515557\pi$
$811$	−10.7399	−	1.54416i	−0.377129	−	0.0542229i	−0.328273	+	0.944583i	$0.606467\pi$
$812$	0.451465	−	0.824359i	0.0158433	−	0.0289293i
$813$	12.7864	+	3.13185i	0.448439	+	0.109839i
$814$	0.583993	+	0.544394i	0.0204689	+	0.0190810i
$815$	−31.7676	−	20.4158i	−1.11277	−	0.715135i
$816$	50.3719	−	9.46349i	1.76337	−	0.331288i
$817$	−31.9288	−	69.9144i	−1.11705	−	2.44599i
$818$	10.1325	−	30.3802i	0.354273	−	1.06222i
$819$	−15.6797	−	0.816306i	−0.547894	−	0.0285241i
$820$	10.9730	+	8.23555i	0.383192	+	0.287598i
$821$	10.2223	+	34.8139i	0.356760	+	1.21501i	0.921052	+	0.389439i	$0.127331\pi$
$821$	10.2223	+	34.8139i	0.356760	+	1.21501i	−0.564292	+	0.825575i	$0.690851\pi$
$822$	−34.2345	−	15.2606i	−1.19407	−	0.532274i
$823$	15.2187	−	2.18812i	0.530492	−	0.0762732i	0.128136	−	0.991757i	$-0.459101\pi$
$823$	15.2187	−	2.18812i	0.530492	−	0.0762732i	0.402356	+	0.915483i	$0.368191\pi$
$824$	−7.77572	−	11.2438i	−0.270880	−	0.391697i
$825$	2.12617	−	1.09019i	0.0740239	−	0.0379554i
$826$	−2.70599	+	2.90282i	−0.0941535	+	0.101002i
$827$	3.12080	+	3.60160i	0.108521	+	0.125240i	0.807411	−	0.589989i	$-0.200868\pi$
$827$	3.12080	+	3.60160i	0.108521	+	0.125240i	−0.698890	+	0.715229i	$0.746322\pi$
$828$	43.5113	−	0.789521i	1.51212	−	0.0274378i
$829$	12.4597	+	27.2829i	0.432743	+	0.947575i	0.992874	+	0.119171i	$0.0380237\pi$
$829$	12.4597	+	27.2829i	0.432743	+	0.947575i	−0.560131	+	0.828404i	$0.689249\pi$
$830$	−15.4696	+	3.93814i	−0.536957	+	0.136695i
$831$	−1.88459	+	0.966314i	−0.0653757	+	0.0335210i
$832$	20.8072	−	27.5803i	0.721360	−	0.956176i
$833$			40.9194i			1.41777i
$834$	−8.00009	−	1.07626i	−0.277021	−	0.0372678i
$835$	−41.7205	−	19.0531i	−1.44380	−	0.659360i
$836$	32.8701	+	32.9519i	1.13684	+	1.13967i
$837$	−12.6289	−	1.90119i	−0.436518	−	0.0657149i
$838$	−39.6972	+	4.24294i	−1.37132	+	0.146570i
$839$	−8.86900	+	10.2354i	−0.306192	+	0.353364i	−0.887903	−	0.460031i	$-0.847838\pi$
$839$	−8.86900	+	10.2354i	−0.306192	+	0.353364i	0.581711	+	0.813396i	$0.302384\pi$
$840$	10.2501	+	7.54861i	0.353661	+	0.260452i
$841$	28.8496			0.994815
$842$	1.22249	−	33.6432i	0.0421299	−	1.15942i
$843$	18.7478	+	10.8793i	0.645709	+	0.374703i
$844$	−9.80330	−	18.0065i	−0.337443	−	0.619811i
$845$	3.41313	+	11.6240i	0.117415	+	0.399879i
$846$	8.47814	−	1.69447i	0.291484	−	0.0582570i
$847$	−0.250281	−	0.852379i	−0.00859976	−	0.0292881i
$848$	−7.00982	+	4.48037i	−0.240718	+	0.153857i
$849$	−31.4608	−	33.1413i	−1.07973	−	1.13741i
$850$	−3.62492	+	2.14772i	−0.124334	+	0.0736663i
$851$	−0.782818	−	0.903421i	−0.0268347	−	0.0309689i
$852$	−0.794635	+	29.1543i	−0.0272238	+	0.998809i
$853$	−20.4261	−	5.99763i	−0.699375	−	0.205355i	−0.0873316	−	0.996179i	$-0.527834\pi$
$853$	−20.4261	−	5.99763i	−0.699375	−	0.205355i	−0.612043	+	0.790824i	$0.709652\pi$
$854$	19.4434	−	4.94976i	0.665339	−	0.169377i
$855$	−31.4946	−	30.2966i	−1.07709	−	1.03612i
$856$	−34.0369	+	1.15213i	−1.16336	+	0.0393790i
$857$	1.86056	−	6.33648i	0.0635554	−	0.216450i	−0.921592	−	0.388160i	$-0.873111\pi$
$857$	1.86056	−	6.33648i	0.0635554	−	0.216450i	0.985148	+	0.171710i	$0.0549291\pi$
$858$	34.6728	−	10.5234i	1.18371	−	0.359264i
$859$	−6.63884	+	3.03186i	−0.226514	+	0.103446i	−0.525440	−	0.850831i	$-0.676099\pi$
$859$	−6.63884	+	3.03186i	−0.226514	+	0.103446i	0.298925	+	0.954277i	$0.403372\pi$
$860$	38.8006	+	29.1210i	1.32309	+	0.993019i
$861$	4.87056	−	4.62359i	0.165988	−	0.157572i
$862$	−41.6313	−	7.53781i	−1.41797	−	0.256739i
$863$	−3.38262	+	7.40690i	−0.115146	+	0.252134i	−0.958427	−	0.285339i	$-0.907894\pi$
$863$	−3.38262	+	7.40690i	−0.115146	+	0.252134i	0.843281	+	0.537473i	$0.180621\pi$
$864$	23.9805	+	16.9981i	0.815834	+	0.578286i
$865$	27.0249	−	17.3679i	0.918875	−	0.590525i
$866$	−17.9397	+	25.8039i	−0.609616	+	0.876851i
$867$	−60.6101	−	24.4200i	−2.05843	−	0.829346i
$868$	−3.56409	−	4.77342i	−0.120973	−	0.162020i
$869$	10.2086	+	1.46777i	0.346302	+	0.0497907i
$870$	0.271541	−	2.01843i	0.00920611	−	0.0684311i
$871$	−34.7176	+	6.65213i	−1.17636	+	0.225399i
$872$	−4.35268	+	39.7881i	−0.147400	+	1.34739i
$873$	15.6617	−	44.6132i	0.530067	−	1.50993i
$874$	−43.6934	−	54.2892i	−1.47795	−	1.83636i
$875$	−13.4700	−	3.95515i	−0.455370	−	0.133709i
$876$	27.5536	+	25.2220i	0.930951	+	0.852174i
$877$	−19.2314	+	12.3593i	−0.649399	+	0.417343i	−0.823447	−	0.567394i	$-0.807952\pi$
$877$	−19.2314	+	12.3593i	−0.649399	+	0.417343i	0.174048	+	0.984737i	$0.444315\pi$
$878$	−5.69116	+	31.4322i	−0.192067	+	1.06079i
$879$	−1.34193	−	0.778717i	−0.0452621	−	0.0262655i
$880$	−28.1669	−	8.34661i	−0.949505	−	0.281364i
$881$	−36.3841	−	31.5270i	−1.22581	−	1.06217i	−0.996038	−	0.0889288i	$-0.971656\pi$
$881$	−36.3841	−	31.5270i	−1.22581	−	1.06217i	−0.229775	−	0.973244i	$-0.573799\pi$
$882$	−16.8726	+	16.3106i	−0.568130	+	0.549206i
$883$	−13.4495	+	6.14220i	−0.452613	+	0.206702i	−0.628660	−	0.777680i	$-0.716396\pi$
$883$	−13.4495	+	6.14220i	−0.452613	+	0.206702i	0.176047	+	0.984382i	$0.443669\pi$
$884$	−59.8948	+	22.2549i	−2.01448	+	0.748512i
$885$	−3.21359	+	7.97610i	−0.108024	+	0.268114i
$886$	18.6045	−	1.98850i	0.625031	−	0.0668051i
$887$	24.4898	+	15.7387i	0.822288	+	0.528453i	0.882819	−	0.469714i	$-0.155643\pi$
$887$	24.4898	+	15.7387i	0.822288	+	0.528453i	−0.0605304	+	0.998166i	$0.519279\pi$
$888$	−0.0639037	−	0.804880i	−0.00214447	−	0.0270100i
$889$	−7.29588	−	2.14227i	−0.244696	−	0.0718493i
$890$	8.38475	−	0.896186i	0.281057	−	0.0300402i
$891$	9.82531	+	29.2205i	0.329160	+	0.978925i
$892$	12.6907	+	23.3102i	0.424917	+	0.780482i
$893$	−10.4633	−	9.06651i	−0.350141	−	0.303399i
$894$	6.74654	+	10.2913i	0.225638	+	0.344194i
$895$	10.6866	+	36.3952i	0.357214	+	1.21656i
$896$	2.37573	+	13.5036i	0.0793677	+	0.451123i
$897$	−53.2952	+	10.1499i	−1.77948	+	0.338894i
$898$	−28.6290	+	16.9623i	−0.955363	+	0.566041i
$899$	−0.395926	+	0.866958i	−0.0132049	+	0.0289147i
$900$	−2.33049	−	0.638605i	−0.0776831	−	0.0212868i
$901$	15.3861			0.512585
$902$	−6.94593	+	13.8547i	−0.231274	+	0.461311i
$903$	17.2224	−	16.3491i	0.573126	−	0.544064i
$904$	−0.234893	−	6.93935i	−0.00781242	−	0.230799i
$905$	23.4361	−	3.36960i	0.779041	−	0.112009i
$906$	−24.2257	+	21.3795i	−0.804845	+	0.710287i
$907$	−7.88962	−	3.60307i	−0.261971	−	0.119638i	0.280100	−	0.959971i	$-0.409632\pi$
$907$	−7.88962	−	3.60307i	−0.261971	−	0.119638i	−0.542071	+	0.840333i	$0.682360\pi$
$908$	−20.8091	−	1.51428i	−0.690573	−	0.0502531i
$909$	6.45633	−	32.7207i	0.214143	−	1.08528i
$910$	−14.1867	−	7.11238i	−0.470285	−	0.235773i
$911$	48.6019	−	31.2346i	1.61025	−	1.03485i	0.648394	−	0.761305i	$-0.275441\pi$
$911$	48.6019	−	31.2346i	1.61025	−	1.03485i	0.961860	−	0.273543i	$-0.0881956\pi$
$912$	−2.01905	−	47.0265i	−0.0668575	−	1.55720i
$913$	−7.49095	−	16.4029i	−0.247914	−	0.542856i
$914$	1.64472	+	6.46068i	0.0544024	+	0.213700i
$915$	35.4693	−	25.1397i	1.17258	−	0.831094i
$916$	3.85824	−	3.84867i	0.127480	−	0.127164i
$917$	6.47213	+	10.0708i	0.213728	+	0.332568i
$918$	−20.4392	−	50.3734i	−0.674594	−	1.66257i
$919$	−40.2485	+	5.78686i	−1.32767	+	0.190891i	−0.769401	−	0.638766i	$-0.779445\pi$
$919$	−40.2485	+	5.78686i	−1.32767	+	0.190891i	−0.558274	+	0.829657i	$0.688536\pi$
$920$	40.6065	+	16.9085i	1.33876	+	0.557457i
$921$	1.99343	+	10.4672i	0.0656858	+	0.344905i
$922$	−5.56295	−	3.86755i	−0.183206	−	0.127371i
$923$	−5.17446	−	35.9892i	−0.170320	−	1.18460i
$924$	−6.32784	+	12.9129i	−0.208171	+	0.424803i
$925$	0.0275734	+	0.0603774i	0.000906609	+	0.00198520i
$926$	10.8313	+	26.1951i	0.355939	+	0.860826i
$927$	−10.0523	+	10.4498i	−0.330160	+	0.343216i
$928$	1.71230	−	1.37111i	0.0562089	−	0.0450088i
$929$	31.9619	+	4.59543i	1.04864	+	0.150771i	0.645026	−	0.764160i	$-0.276846\pi$
$929$	31.9619	+	4.59543i	1.04864	+	0.150771i	0.403609	+	0.914931i	$0.367756\pi$
$930$	−10.9222	−	6.88005i	−0.358152	−	0.225606i
$931$	37.1970	+	5.34812i	1.21908	+	0.175277i
$932$	−14.4461	−	26.5344i	−0.473198	−	0.869163i
$933$	−14.0363	−	11.0885i	−0.459528	−	0.363021i
$934$	7.70565	−	23.1039i	0.252137	−	0.755982i
$935$	35.5798	+	41.0613i	1.16358	+	1.34285i
$936$	−33.0508	−	15.8260i	−1.08030	−	0.517290i
$937$	0.364394			0.0119042			0.00595212	−	0.999982i	$-0.498105\pi$
$937$	0.364394			0.0119042			0.00595212	+	0.999982i	$0.498105\pi$
$938$	7.46378	−	11.8783i	0.243701	−	0.387841i
$939$	−0.623052	−	0.0608823i	−0.0203325	−	0.00198682i
$940$	8.53673	+	1.86816i	0.278437	+	0.0609327i
$941$	−24.5105	+	21.2385i	−0.799020	+	0.692355i	−0.955391	−	0.295343i	$-0.904566\pi$
$941$	−24.5105	+	21.2385i	−0.799020	+	0.692355i	0.156371	+	0.987698i	$0.450021\pi$
$942$	20.3108	−	45.5638i	0.661762	−	1.48455i
$943$	12.5457	−	19.5215i	0.408545	−	0.635708i
$944$	−8.43455	+	3.82663i	−0.274521	+	0.124546i
$945$	5.69009	−	12.2443i	0.185099	−	0.398309i
$946$	−24.5609	+	48.9904i	−0.798545	+	1.59282i
$947$	4.29171	−	29.8495i	0.139462	−	0.969977i	−0.793132	−	0.609050i	$-0.791551\pi$
$947$	4.29171	−	29.8495i	0.139462	−	0.969977i	0.932594	−	0.360928i	$-0.117540\pi$
$948$	−6.61303	−	8.06580i	−0.214781	−	0.261965i
$949$	−39.1760	−	25.1769i	−1.27171	−	0.817277i
$950$	1.47857	+	3.57587i	0.0479713	+	0.116017i
$951$	6.09715	−	2.09519i	0.197714	−	0.0679411i
$952$	9.74756	−	23.4092i	0.315920	−	0.758697i
$953$	19.7338	−	2.83729i	0.639239	−	0.0919087i	0.184928	−	0.982752i	$-0.440795\pi$
$953$	19.7338	−	2.83729i	0.639239	−	0.0919087i	0.454311	+	0.890843i	$0.349886\pi$
$954$	6.13294	+	6.34427i	0.198561	+	0.205403i
$955$	13.4640	+	45.8543i	0.435686	+	1.48381i
$956$	−53.4783	−	20.0221i	−1.72961	−	0.647561i
$957$	2.29827	−	0.104396i	0.0742925	−	0.00337466i
$958$	−26.5714	+	21.3854i	−0.858482	+	0.690929i
$959$	−15.6004	+	10.0258i	−0.503763	+	0.323749i
$960$	15.3122	+	25.4600i	0.494199	+	0.821718i
$961$	−16.3448	−	18.8629i	−0.527250	−	0.608479i
$962$	0.248327	+	0.975465i	0.00800639	+	0.0314503i
$963$	8.36111	+	35.1413i	0.269433	+	1.13241i
$964$	4.64364	−	1.00412i	0.149561	−	0.0323406i
$965$	−16.6572	−	25.9192i	−0.536216	−	0.834368i
$966$	11.4756	−	18.2177i	0.369223	−	0.586146i
$967$		−	42.1230i		−	1.35458i	−0.735715	−	0.677292i	$-0.763154\pi$
$967$		−	42.1230i		−	1.35458i	0.735715	−	0.677292i	$-0.236846\pi$
$968$	0.225472	−	2.06105i	0.00724695	−	0.0662448i
$969$	−43.6926	+	75.2935i	−1.40361	+	2.41878i
$970$	32.5872	−	34.9575i	1.04631	−	1.12242i
$971$	3.83873	+	26.6989i	0.123191	+	0.856809i	0.953905	+	0.300110i	$0.0970234\pi$
$971$	3.83873	+	26.6989i	0.123191	+	0.856809i	−0.830714	+	0.556699i	$0.812068\pi$
$972$	12.6238	−	28.5069i	0.404907	−	0.914358i
$973$	−2.61533	+	3.01825i	−0.0838436	+	0.0967606i
$974$	−23.4234	+	46.7214i	−0.750533	+	1.49705i
$975$	2.99818	+	0.292971i	0.0960186	+	0.00938258i
$976$	46.3329	+	6.77921i	1.48308	+	0.216997i
$977$	−52.6025	−	24.0228i	−1.68290	−	0.768556i	−0.999249	−	0.0387502i	$-0.987662\pi$
$977$	−52.6025	−	24.0228i	−1.68290	−	0.768556i	−0.683654	−	0.729806i	$-0.739610\pi$
$978$	−39.0777	+	18.2764i	−1.24957	+	0.584415i
$979$	2.68370	+	9.13985i	0.0857715	+	0.292111i
$980$	−22.2344	+	8.26156i	−0.710253	+	0.263906i
$981$	42.2786	−	3.84886i	1.34985	−	0.122885i
$982$	15.2960	−	12.3107i	0.488116	−	0.392849i
$983$	10.3356	−	11.9279i	0.329655	−	0.380442i	−0.566591	−	0.823999i	$-0.691738\pi$
$983$	10.3356	−	11.9279i	0.329655	−	0.380442i	0.896246	+	0.443557i	$0.146284\pi$
$984$	14.6421	−	5.59219i	0.466773	−	0.178272i
$985$	10.8088	+	12.4741i	0.344398	+	0.397457i
$986$	−4.03395	+	0.431160i	−0.128467	+	0.0137309i
$987$	1.59856	−	3.96760i	0.0508827	−	0.126290i
$988$	12.4022	+	57.3549i	0.394566	+	1.82470i
$989$	44.3619	−	69.0284i	1.41063	−	2.19498i
$990$	−2.74891	+	31.0381i	−0.0873662	+	0.986455i
$991$	−9.15978	+	31.1954i	−0.290970	+	0.990953i	0.676178	+	0.736738i	$0.263635\pi$
$991$	−9.15978	+	31.1954i	−0.290970	+	0.990953i	−0.967148	+	0.254215i	$0.918183\pi$
$992$	−3.39657	−	13.4822i	−0.107841	−	0.428062i
$993$	38.4312	−	13.2062i	1.21958	−	0.419088i
$994$	11.8476	+	8.23683i	0.375782	+	0.261256i
$995$	24.8311	−	28.6567i	0.787200	−	0.908477i
$996$	−5.61264	+	17.3513i	−0.177843	+	0.549795i
$997$	−8.22965	+	18.0204i	−0.260636	+	0.570713i	−0.994032	−	0.109089i	$-0.965207\pi$
$997$	−8.22965	+	18.0204i	−0.260636	+	0.570713i	0.733396	+	0.679801i	$0.237934\pi$
$998$	3.30975	−	18.2797i	0.104768	−	0.578634i
$999$	−0.823281	+	0.235827i	−0.0260475	+	0.00746124i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.w.a.59.8	yes	1320
3.2	odd	2	inner	804.2.w.a.59.125	yes	1320
4.3	odd	2	inner	804.2.w.a.59.5	✓	1320
12.11	even	2	inner	804.2.w.a.59.128	yes	1320
67.25	even	11	inner	804.2.w.a.695.128	yes	1320
201.92	odd	22	inner	804.2.w.a.695.5	yes	1320
268.159	odd	22	inner	804.2.w.a.695.125	yes	1320
804.695	even	22	inner	804.2.w.a.695.8	yes	1320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.w.a.59.5	✓	1320	4.3	odd	2	inner
804.2.w.a.59.8	yes	1320	1.1	even	1	trivial
804.2.w.a.59.125	yes	1320	3.2	odd	2	inner
804.2.w.a.59.128	yes	1320	12.11	even	2	inner
804.2.w.a.695.5	yes	1320	201.92	odd	22	inner
804.2.w.a.695.8	yes	1320	804.695	even	22	inner
804.2.w.a.695.125	yes	1320	268.159	odd	22	inner
804.2.w.a.695.128	yes	1320	67.25	even	11	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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.w (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39159 - 0.251963i) q^{2} +(1.00157 + 1.41310i) q^{3} +(1.87303 + 0.701256i) q^{4} +(1.15920 - 1.80375i) q^{5} +(-1.03773 - 2.21881i) q^{6} +(-1.19955 - 0.172470i) q^{7} +(-2.42979 - 1.44779i) q^{8} +(-0.993709 + 2.83064i) q^{9} +O(q^{10})\)	\(q+(-1.39159 - 0.251963i) q^{2} +(1.00157 + 1.41310i) q^{3} +(1.87303 + 0.701256i) q^{4} +(1.15920 - 1.80375i) q^{5} +(-1.03773 - 2.21881i) q^{6} +(-1.19955 - 0.172470i) q^{7} +(-2.42979 - 1.44779i) q^{8} +(-0.993709 + 2.83064i) q^{9} +(-2.06761 + 2.21800i) q^{10} +(-2.88159 - 1.85189i) q^{11} +(0.885028 + 3.34914i) q^{12} +(-1.79401 - 3.92833i) q^{13} +(1.62583 + 0.542250i) q^{14} +(3.70991 - 0.168518i) q^{15} +(3.01648 + 2.62695i) q^{16} +(-2.08419 - 7.09809i) q^{17} +(2.09605 - 3.68871i) q^{18} +(-6.72479 + 0.966878i) q^{19} +(3.43611 - 2.56558i) q^{20} +(-0.957722 - 1.86783i) q^{21} +(3.54338 + 3.30311i) q^{22} +(-4.74975 - 5.48150i) q^{23} +(-0.387736 - 4.88361i) q^{24} +(0.167302 + 0.366340i) q^{25} +(1.50673 + 5.91863i) q^{26} +(-4.99526 + 1.43088i) q^{27} +(-2.12585 - 1.16424i) q^{28} +0.387778i q^{29} +(-5.20512 - 0.700249i) q^{30} +(2.23571 + 1.02101i) q^{31} +(-3.53580 - 4.41566i) q^{32} +(-0.269217 - 5.92677i) q^{33} +(1.11188 + 10.4027i) q^{34} +(-1.70162 + 1.96377i) q^{35} +(-3.84625 + 4.60503i) q^{36} +0.164813 q^{37} +(9.60174 + 0.348899i) q^{38} +(3.75430 - 6.46962i) q^{39} +(-5.42808 + 2.70446i) q^{40} +(0.901367 + 3.06977i) q^{41} +(0.862130 + 2.84056i) q^{42} +(3.18725 + 10.8548i) q^{43} +(-4.09866 - 5.48937i) q^{44} +(3.95387 + 5.07369i) q^{45} +(5.22856 + 8.82475i) q^{46} +(1.33450 + 1.54010i) q^{47} +(-0.690919 + 6.89367i) q^{48} +(-5.30727 - 1.55835i) q^{49} +(-0.140511 - 0.551948i) q^{50} +(7.94286 - 10.0544i) q^{51} +(-0.605466 - 8.61593i) q^{52} +(-0.585957 + 1.99559i) q^{53} +(7.31186 - 0.732577i) q^{54} +(-6.68068 + 3.05097i) q^{55} +(2.66497 + 2.15577i) q^{56} +(-8.10165 - 8.53440i) q^{57} +(0.0977055 - 0.539627i) q^{58} +(-0.961894 + 2.10625i) q^{59} +(7.06694 + 2.28595i) q^{60} +(9.84818 - 6.32904i) q^{61} +(-2.85393 - 1.98414i) q^{62} +(1.68021 - 3.22413i) q^{63} +(3.80780 + 7.03567i) q^{64} +(-9.16534 - 1.31778i) q^{65} +(-1.11869 + 8.31545i) q^{66} +(1.93842 - 7.95252i) q^{67} +(1.07383 - 14.7565i) q^{68} +(2.98870 - 12.2020i) q^{69} +(2.86274 - 2.30401i) q^{70} +(8.07820 + 2.37197i) q^{71} +(6.51269 - 5.43920i) q^{72} +(9.07148 - 5.82989i) q^{73} +(-0.229351 - 0.0415266i) q^{74} +(-0.350111 + 0.603330i) q^{75} +(-13.2738 - 2.90480i) q^{76} +(3.13723 + 2.71842i) q^{77} +(-6.85453 + 8.05709i) q^{78} +(-2.73885 + 1.25079i) q^{79} +(8.23506 - 2.39582i) q^{80} +(-7.02508 - 5.62567i) q^{81} +(-0.480863 - 4.49897i) q^{82} +(4.42870 + 2.84615i) q^{83} +(-0.484013 - 4.17011i) q^{84} +(-15.2192 - 4.46875i) q^{85} +(-1.70034 - 15.9084i) q^{86} +(-0.547969 + 0.388387i) q^{87} +(4.32052 + 8.67164i) q^{88} +(-2.10170 - 1.82113i) q^{89} +(-4.22377 - 8.05671i) q^{90} +(1.47449 + 5.02165i) q^{91} +(-5.05249 - 13.5978i) q^{92} +(0.796426 + 4.18190i) q^{93} +(-1.46903 - 2.47942i) q^{94} +(-6.05137 + 13.2506i) q^{95} +(2.69842 - 9.41905i) q^{96} -15.7608 q^{97} +(6.99288 + 3.50582i) q^{98} +(8.10549 - 6.31652i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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