LMFDB - Embedded newform 804.2.w.a.59.4

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			59.4
Character	$\chi$	$=$	804.59
Dual form			804.2.w.a.695.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40973 + 0.112573i) q^{2} +(-1.72195 - 0.186745i) q^{3} +(1.97465 - 0.317394i) q^{4} +(1.50339 - 2.33932i) q^{5} +(2.44851 + 0.0694140i) q^{6} +(0.181474 + 0.0260921i) q^{7} +(-2.74799 + 0.669732i) q^{8} +(2.93025 + 0.643134i) q^{9} +O(q^{10})$	\(q+(-1.40973 + 0.112573i) q^{2} +(-1.72195 - 0.186745i) q^{3} +(1.97465 - 0.317394i) q^{4} +(1.50339 - 2.33932i) q^{5} +(2.44851 + 0.0694140i) q^{6} +(0.181474 + 0.0260921i) q^{7} +(-2.74799 + 0.669732i) q^{8} +(2.93025 + 0.643134i) q^{9} +(-1.85603 + 3.46705i) q^{10} +(0.488364 + 0.313852i) q^{11} +(-3.45954 + 0.177781i) q^{12} +(2.75532 + 6.03330i) q^{13} +(-0.258767 - 0.0163536i) q^{14} +(-3.02563 + 3.74746i) q^{15} +(3.79852 - 1.25349i) q^{16} +(0.578765 + 1.97109i) q^{17} +(-4.20325 - 0.576775i) q^{18} +(-5.26186 + 0.756541i) q^{19} +(2.22619 - 5.09653i) q^{20} +(-0.307618 - 0.0788189i) q^{21} +(-0.723791 - 0.387469i) q^{22} +(2.34570 + 2.70708i) q^{23} +(4.85699 - 0.640074i) q^{24} +(-1.13518 - 2.48569i) q^{25} +(-4.56343 - 8.19513i) q^{26} +(-4.92566 - 1.65466i) q^{27} +(0.366631 - 0.00607613i) q^{28} -2.42852i q^{29} +(3.84345 - 5.62349i) q^{30} +(4.84503 + 2.21265i) q^{31} +(-5.21377 + 2.19469i) q^{32} +(-0.782330 - 0.631639i) q^{33} +(-1.03779 - 2.71355i) q^{34} +(0.333865 - 0.385301i) q^{35} +(5.99036 + 0.339921i) q^{36} +4.04414 q^{37} +(7.33261 - 1.65886i) q^{38} +(-3.61784 - 10.9036i) q^{39} +(-2.56459 + 7.43532i) q^{40} +(-0.226050 - 0.769854i) q^{41} +(0.442530 + 0.0764835i) q^{42} +(1.82019 + 6.19899i) q^{43} +(1.06397 + 0.464746i) q^{44} +(5.90982 - 5.88793i) q^{45} +(-3.61154 - 3.55218i) q^{46} +(-2.11242 - 2.43786i) q^{47} +(-6.77496 + 1.44909i) q^{48} +(-6.68420 - 1.96266i) q^{49} +(1.88011 + 3.37635i) q^{50} +(-0.628514 - 3.50221i) q^{51} +(7.35574 + 11.0392i) q^{52} +(-2.11040 + 7.18736i) q^{53} +(7.13010 + 1.77812i) q^{54} +(1.46841 - 0.670598i) q^{55} +(-0.516165 + 0.0498385i) q^{56} +(9.20196 - 0.320101i) q^{57} +(0.273387 + 3.42355i) q^{58} +(-1.77460 + 3.88583i) q^{59} +(-4.78515 + 8.36026i) q^{60} +(5.73180 - 3.68361i) q^{61} +(-7.07924 - 2.57381i) q^{62} +(0.514985 + 0.193169i) q^{63} +(7.10292 - 3.68084i) q^{64} +(18.2562 + 2.62484i) q^{65} +(1.17398 + 0.802369i) q^{66} +(6.06994 + 5.49143i) q^{67} +(1.76847 + 3.70853i) q^{68} +(-3.53365 - 5.09952i) q^{69} +(-0.427284 + 0.580753i) q^{70} +(13.2123 + 3.87948i) q^{71} +(-8.48304 + 0.195158i) q^{72} +(2.62085 - 1.68432i) q^{73} +(-5.70113 + 0.455262i) q^{74} +(1.49053 + 4.49223i) q^{75} +(-10.1502 + 3.16399i) q^{76} +(0.0804365 + 0.0696986i) q^{77} +(6.32762 + 14.9638i) q^{78} +(8.98129 - 4.10162i) q^{79} +(2.77835 - 10.7705i) q^{80} +(8.17276 + 3.76909i) q^{81} +(0.405333 + 1.05984i) q^{82} +(-5.72412 - 3.67867i) q^{83} +(-0.632456 - 0.0580038i) q^{84} +(5.48114 + 1.60941i) q^{85} +(-3.26380 - 8.53397i) q^{86} +(-0.453516 + 4.18181i) q^{87} +(-1.55222 - 0.535391i) q^{88} +(2.15126 + 1.86408i) q^{89} +(-7.66840 + 8.96565i) q^{90} +(0.342598 + 1.16678i) q^{91} +(5.49116 + 4.60104i) q^{92} +(-7.92971 - 4.71487i) q^{93} +(3.25237 + 3.19892i) q^{94} +(-6.14084 + 13.4466i) q^{95} +(9.38771 - 2.80550i) q^{96} +17.4912 q^{97} +(9.64383 + 2.01435i) q^{98} +(1.22918 + 1.23375i) 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 $

$2$	−1.40973	+	0.112573i	−0.996827	+	0.0796012i
$2$	−1.40973	+	0.112573i	−0.996827	+	0.0796012i
$3$	−1.72195	−	0.186745i	−0.994171	−	0.107817i
$3$	−1.72195	−	0.186745i	−0.994171	−	0.107817i
$4$	1.97465	−	0.317394i	0.987327	−	0.158697i
$5$	1.50339	−	2.33932i	0.672338	−	1.04618i	−0.322683	−	0.946507i	$-0.604585\pi$
$5$	1.50339	−	2.33932i	0.672338	−	1.04618i	0.995020	−	0.0996708i	$-0.0317790\pi$
$6$	2.44851	+	0.0694140i	0.999598	+	0.0283381i
$7$	0.181474	+	0.0260921i	0.0685909	+	0.00986188i	0.176525	−	0.984296i	$-0.443514\pi$
$7$	0.181474	+	0.0260921i	0.0685909	+	0.00986188i	−0.107934	+	0.994158i	$0.534423\pi$
$8$	−2.74799	+	0.669732i	−0.971562	+	0.236786i
$9$	2.93025	+	0.643134i	0.976751	+	0.214378i
$10$	−1.85603	+	3.46705i	−0.586927	+	1.09638i
$11$	0.488364	+	0.313852i	0.147247	+	0.0946301i	0.612190	−	0.790711i	$-0.290289\pi$
$11$	0.488364	+	0.313852i	0.147247	+	0.0946301i	−0.464943	+	0.885341i	$0.653925\pi$
$12$	−3.45954	+	0.177781i	−0.998682	+	0.0513210i
$13$	2.75532	+	6.03330i	0.764188	+	1.67334i	0.739047	+	0.673654i	$0.235276\pi$
$13$	2.75532	+	6.03330i	0.764188	+	1.67334i	0.0251406	+	0.999684i	$0.491997\pi$
$14$	−0.258767	−	0.0163536i	−0.0691583	−	0.00437067i
$15$	−3.02563	+	3.74746i	−0.781215	+	0.967590i
$16$	3.79852	−	1.25349i	0.949630	−	0.313372i
$17$	0.578765	+	1.97109i	0.140371	+	0.478060i	0.999428	−	0.0338201i	$-0.0107673\pi$
$17$	0.578765	+	1.97109i	0.140371	+	0.478060i	−0.859057	+	0.511880i	$0.828949\pi$
$18$	−4.20325	−	0.576775i	−0.990716	−	0.135947i
$19$	−5.26186	+	0.756541i	−1.20715	+	0.173562i	−0.716371	−	0.697720i	$-0.754198\pi$
$19$	−5.26186	+	0.756541i	−1.20715	+	0.173562i	−0.490782	+	0.871282i	$0.663289\pi$
$20$	2.22619	−	5.09653i	0.497792	−	1.13962i
$21$	−0.307618	−	0.0788189i	−0.0671278	−	0.0171997i
$22$	−0.723791	−	0.387469i	−0.154313	−	0.0826087i
$23$	2.34570	+	2.70708i	0.489112	+	0.564465i	0.945628	−	0.325250i	$-0.105448\pi$
$23$	2.34570	+	2.70708i	0.489112	+	0.564465i	−0.456516	+	0.889715i	$0.650903\pi$
$24$	4.85699	−	0.640074i	0.991428	−	0.130654i
$25$	−1.13518	−	2.48569i	−0.227035	−	0.497138i
$26$	−4.56343	−	8.19513i	−0.894963	−	1.60720i
$27$	−4.92566	−	1.65466i	−0.947943	−	0.318439i
$28$	0.366631	−	0.00607613i	0.0692867	−	0.00114828i
$29$		−	2.42852i		−	0.450966i	−0.974247	−	0.225483i	$-0.927604\pi$
$29$		−	2.42852i		−	0.450966i	0.974247	−	0.225483i	$-0.0723959\pi$
$30$	3.84345	−	5.62349i	0.701714	−	1.02670i
$31$	4.84503	+	2.21265i	0.870192	+	0.397404i	0.799907	−	0.600123i	$-0.204882\pi$
$31$	4.84503	+	2.21265i	0.870192	+	0.397404i	0.0702849	+	0.997527i	$0.477609\pi$
$32$	−5.21377	+	2.19469i	−0.921672	+	0.387970i
$33$	−0.782330	−	0.631639i	−0.136186	−	0.109954i
$34$	−1.03779	−	2.71355i	−0.177980	−	0.465369i
$35$	0.333865	−	0.385301i	0.0564335	−	0.0651278i
$36$	5.99036	+	0.339921i	0.998394	+	0.0566535i
$37$	4.04414			0.664853			0.332426	−	0.943129i	$-0.392133\pi$
$37$	4.04414			0.664853			0.332426	+	0.943129i	$0.392133\pi$
$38$	7.33261	−	1.65886i	1.18951	−	0.269102i
$39$	−3.61784	−	10.9036i	−0.579318	−	1.74598i
$40$	−2.56459	+	7.43532i	−0.405497	+	1.17563i
$41$	−0.226050	−	0.769854i	−0.0353030	−	0.120231i	0.939956	−	0.341295i	$-0.110865\pi$
$41$	−0.226050	−	0.769854i	−0.0353030	−	0.120231i	−0.975259	+	0.221064i	$0.929047\pi$
$42$	0.442530	+	0.0764835i	0.0682839	+	0.0118017i
$43$	1.82019	+	6.19899i	0.277576	+	0.945336i	0.973780	+	0.227492i	$0.0730527\pi$
$43$	1.82019	+	6.19899i	0.277576	+	0.945336i	−0.696204	+	0.717844i	$0.745129\pi$
$44$	1.06397	+	0.464746i	0.160399	+	0.0700631i
$45$	5.90982	−	5.88793i	0.880984	−	0.877721i
$46$	−3.61154	−	3.55218i	−0.532492	−	0.523740i
$47$	−2.11242	−	2.43786i	−0.308128	−	0.355599i	0.580473	−	0.814279i	$-0.302868\pi$
$47$	−2.11242	−	2.43786i	−0.308128	−	0.355599i	−0.888601	+	0.458681i	$0.848322\pi$
$48$	−6.77496	+	1.44909i	−0.977882	+	0.209159i
$49$	−6.68420	−	1.96266i	−0.954886	−	0.280380i
$50$	1.88011	+	3.37635i	0.265888	+	0.477488i
$51$	−0.628514	−	3.50221i	−0.0880096	−	0.490408i
$52$	7.35574	+	11.0392i	1.02006	+	1.53086i
$53$	−2.11040	+	7.18736i	−0.289885	+	0.987259i	0.677831	+	0.735218i	$0.262920\pi$
$53$	−2.11040	+	7.18736i	−0.289885	+	0.987259i	−0.967716	+	0.252041i	$0.918898\pi$
$54$	7.13010	+	1.77812i	0.970283	+	0.241971i
$55$	1.46841	−	0.670598i	0.198000	−	0.0904235i
$56$	−0.516165	+	0.0498385i	−0.0689755	+	0.00665995i
$57$	9.20196	−	0.320101i	1.21883	−	0.0423985i
$58$	0.273387	+	3.42355i	0.0358974	+	0.449535i
$59$	−1.77460	+	3.88583i	−0.231033	+	0.505892i	−0.989272	−	0.146085i	$-0.953333\pi$
$59$	−1.77460	+	3.88583i	−0.231033	+	0.505892i	0.758239	+	0.651977i	$0.226060\pi$
$60$	−4.78515	+	8.36026i	−0.617761	+	1.07930i
$61$	5.73180	−	3.68361i	0.733882	−	0.471637i	−0.119559	−	0.992827i	$-0.538148\pi$
$61$	5.73180	−	3.68361i	0.733882	−	0.471637i	0.853441	+	0.521190i	$0.174512\pi$
$62$	−7.07924	−	2.57381i	−0.899065	−	0.326874i
$63$	0.514985	+	0.193169i	0.0648821	+	0.0243370i
$64$	7.10292	−	3.68084i	0.887865	−	0.460105i
$65$	18.2562	+	2.62484i	2.26440	+	0.325572i
$66$	1.17398	+	0.802369i	0.144506	+	0.0987648i
$67$	6.06994	+	5.49143i	0.741561	+	0.670885i
$67$	6.06994	+	5.49143i	0.741561	+	0.670885i
$68$	1.76847	+	3.70853i	0.214459	+	0.449725i
$69$	−3.53365	−	5.09952i	−0.425402	−	0.613910i
$70$	−0.427284	+	0.580753i	−0.0510702	+	0.0694133i
$71$	13.2123	+	3.87948i	1.56801	+	0.460409i	0.946421	−	0.322935i	$-0.104669\pi$
$71$	13.2123	+	3.87948i	1.56801	+	0.460409i	0.621588	+	0.783344i	$0.286488\pi$
$72$	−8.48304	+	0.195158i	−0.999735	+	0.0229996i
$73$	2.62085	−	1.68432i	0.306747	−	0.197134i	−0.378206	−	0.925721i	$-0.623459\pi$
$73$	2.62085	−	1.68432i	0.306747	−	0.197134i	0.684953	+	0.728587i	$0.259823\pi$
$74$	−5.70113	+	0.455262i	−0.662743	+	0.0529231i
$75$	1.49053	+	4.49223i	0.172112	+	0.518718i
$76$	−10.1502	+	3.16399i	−1.16431	+	0.362935i
$77$	0.0804365	+	0.0696986i	0.00916659	+	0.00794290i
$78$	6.32762	+	14.9638i	0.716462	+	1.69432i
$79$	8.98129	−	4.10162i	1.01047	−	0.461468i	0.159793	−	0.987150i	$-0.448917\pi$
$79$	8.98129	−	4.10162i	1.01047	−	0.461468i	0.850681	+	0.525682i	$0.176190\pi$
$80$	2.77835	−	10.7705i	0.310629	−	1.20417i
$81$	8.17276	+	3.76909i	0.908084	+	0.418788i
$82$	0.405333	+	1.05984i	0.0447615	+	0.117039i
$83$	−5.72412	−	3.67867i	−0.628304	−	0.403786i	0.187377	−	0.982288i	$-0.440001\pi$
$83$	−5.72412	−	3.67867i	−0.628304	−	0.403786i	−0.815681	+	0.578502i	$0.803638\pi$
$84$	−0.632456	−	0.0580038i	−0.0690066	−	0.00632873i
$85$	5.48114	+	1.60941i	0.594513	+	0.174565i
$86$	−3.26380	−	8.53397i	−0.351945	−	0.920241i
$87$	−0.453516	+	4.18181i	−0.0486220	+	0.448337i
$88$	−1.55222	−	0.535391i	−0.165467	−	0.0570729i
$89$	2.15126	+	1.86408i	0.228033	+	0.197592i	0.761382	−	0.648303i	$-0.224521\pi$
$89$	2.15126	+	1.86408i	0.228033	+	0.197592i	−0.533349	+	0.845896i	$0.679067\pi$
$90$	−7.66840	+	8.96565i	−0.808321	+	0.945063i
$91$	0.342598	+	1.16678i	0.0359141	+	0.122312i
$92$	5.49116	+	4.60104i	0.572493	+	0.479691i
$93$	−7.92971	−	4.71487i	−0.822273	−	0.488909i
$94$	3.25237	+	3.19892i	0.335456	+	0.329943i
$95$	−6.14084	+	13.4466i	−0.630037	+	1.37959i
$96$	9.38771	−	2.80550i	0.958129	−	0.286336i
$97$	17.4912			1.77596			0.887981	−	0.459881i	$-0.152108\pi$
$97$	17.4912			1.77596			0.887981	+	0.459881i	$0.152108\pi$
$98$	9.64383	+	2.01435i	0.974174	+	0.203480i
$99$	1.22918	+	1.23375i	0.123537	+	0.123997i
$100$	−3.03052	−	4.54808i	−0.303052	−	0.454808i
$101$	−8.62076	+	1.23948i	−0.857797	+	0.123333i	−0.557159	−	0.830406i	$-0.688109\pi$
$101$	−8.62076	+	1.23948i	−0.857797	+	0.123333i	−0.300638	+	0.953738i	$0.597200\pi$
$102$	1.28029	+	4.86641i	0.126767	+	0.481846i
$103$	14.6079	+	6.67120i	1.43936	+	0.657333i	0.973742	−	0.227653i	$-0.0731052\pi$
$103$	14.6079	+	6.67120i	1.43936	+	0.657333i	0.465617	+	0.884986i	$0.345832\pi$
$104$	−11.6123	−	14.7341i	−1.13868	−	1.44480i
$105$	−0.646854	+	0.601123i	−0.0631265	+	0.0586636i
$106$	2.16598	−	10.3698i	0.210379	−	1.00720i
$107$	4.02652	−	2.58769i	0.389258	−	0.250161i	−0.331344	−	0.943510i	$-0.607502\pi$
$107$	4.02652	−	2.58769i	0.389258	−	0.250161i	0.720602	+	0.693349i	$0.243866\pi$
$108$	−10.2517	−	1.70400i	−0.986466	−	0.163968i
$109$	0.551439	+	1.20748i	0.0528183	+	0.115656i	0.934201	−	0.356747i	$-0.116114\pi$
$109$	0.551439	+	1.20748i	0.0528183	+	0.115656i	−0.881383	+	0.472403i	$0.843387\pi$
$110$	−1.99456	+	1.11066i	−0.190174	+	0.105898i
$111$	−6.96383	−	0.755224i	−0.660977	−	0.0716827i
$112$	0.722041	−	0.128365i	0.0682265	−	0.0121293i
$113$	−2.75718	−	4.29025i	−0.259374	−	0.403593i	0.687005	−	0.726653i	$-0.258925\pi$
$113$	−2.75718	−	4.29025i	−0.259374	−	0.403593i	−0.946379	+	0.323059i	$0.895289\pi$
$114$	−12.9362	+	1.48715i	−1.21159	+	0.139284i
$115$	9.85925	−	1.41755i	0.919379	−	0.132187i
$116$	−0.770800	−	4.79550i	−0.0715670	−	0.445251i
$117$	4.19355	+	19.4511i	0.387694	+	1.79826i
$118$	2.06426	−	5.67773i	0.190030	−	0.522677i
$119$	0.0536011	+	0.372804i	0.00491361	+	0.0341749i
$120$	5.80462	−	12.3243i	0.529887	−	1.12505i
$121$	−4.42957	−	9.69940i	−0.402688	−	0.881764i
$122$	−7.66560	+	5.83812i	−0.694011	+	0.528559i
$123$	0.245480	+	1.36787i	0.0221342	+	0.123336i
$124$	10.2695	+	2.83143i	0.922231	+	0.254270i
$125$	6.24083	+	0.897296i	0.558197	+	0.0802566i
$126$	−0.747734	−	0.214342i	−0.0666134	−	0.0190951i
$127$	−14.2201	−	2.04453i	−1.26183	−	0.181423i	−0.521255	−	0.853401i	$-0.674536\pi$
$127$	−14.2201	−	2.04453i	−1.26183	−	0.181423i	−0.740571	+	0.671978i	$0.765445\pi$
$128$	−9.59880	+	5.98857i	−0.848422	+	0.529320i
$129$	−1.97665	−	11.0143i	−0.174034	−	0.969753i
$130$	−26.0317	−	1.64515i	−2.28313	−	0.144290i
$131$	−10.4732	−	12.0867i	−0.915050	−	1.05602i	−0.998229	−	0.0594895i	$-0.981053\pi$
$131$	−10.4732	−	12.0867i	−0.915050	−	1.05602i	0.0831788	−	0.996535i	$-0.473493\pi$
$132$	−1.74531	−	0.998962i	−0.151910	−	0.0869485i
$133$	−0.974632			−0.0845114
$134$	−9.17514	−	7.05810i	−0.792611	−	0.609727i
$135$	−11.2760	+	9.03511i	−0.970482	+	0.777619i
$136$	−2.91055	−	5.02893i	−0.249577	−	0.431227i
$137$	−6.13107	+	5.31261i	−0.523813	+	0.453886i	−0.876186	−	0.481973i	$-0.839920\pi$
$137$	−6.13107	+	5.31261i	−0.523813	+	0.453886i	0.352373	+	0.935860i	$0.385375\pi$
$138$	5.55555	+	6.79113i	0.472920	+	0.578099i
$139$	−1.83374	+	2.85336i	−0.155536	+	0.242019i	−0.910273	−	0.414009i	$-0.864128\pi$
$139$	−1.83374	+	2.85336i	−0.155536	+	0.242019i	0.754737	+	0.656028i	$0.227765\pi$
$140$	0.536976	−	0.866804i	0.0453828	−	0.0732583i
$141$	3.18223	+	4.59237i	0.267992	+	0.386748i
$142$	−19.0624	−	3.98165i	−1.59968	−	0.334133i
$143$	−0.547970	+	3.81121i	−0.0458235	+	0.318710i
$144$	11.9368	−	1.23008i	0.994732	−	0.102507i
$145$	−5.68111	−	3.65103i	−0.471790	−	0.303201i
$146$	−3.50507	+	2.66946i	−0.290082	+	0.220926i
$147$	11.1434	+	4.62785i	0.919089	+	0.381699i
$148$	7.98578	−	1.28359i	0.656427	−	0.105510i
$149$	−9.75185	+	1.40210i	−0.798902	+	0.114865i	−0.529663	−	0.848208i	$-0.677681\pi$
$149$	−9.75185	+	1.40210i	−0.798902	+	0.114865i	−0.269240	+	0.963073i	$0.586772\pi$
$150$	−2.60694	−	6.16502i	−0.212856	−	0.503372i
$151$	−5.67995	−	19.3441i	−0.462227	−	1.57420i	−0.779838	−	0.625981i	$-0.784699\pi$
$151$	−5.67995	−	19.3441i	−0.462227	−	1.57420i	0.317611	−	0.948221i	$-0.397119\pi$
$152$	13.9529	−	5.60300i	1.13173	−	0.454464i
$153$	0.428251	+	6.14802i	0.0346221	+	0.497038i
$154$	−0.121240	−	0.0892010i	−0.00976977	−	0.00718802i
$155$	12.4601	−	8.00761i	1.00082	−	0.643187i
$156$	−10.6047	−	20.3826i	−0.849058	−	1.63191i
$157$	−14.1496	−	16.3295i	−1.12926	−	1.30323i	−0.947451	−	0.319900i	$-0.896351\pi$
$157$	−14.1496	−	16.3295i	−1.12926	−	1.30323i	−0.181807	−	0.983334i	$-0.558195\pi$
$158$	−12.1994	+	6.79321i	−0.970534	+	0.540439i
$159$	4.97621	−	11.9822i	0.394639	−	0.950250i
$160$	−2.70425	+	15.4962i	−0.213790	+	1.22508i
$161$	0.355051	+	0.552470i	0.0279819	+	0.0435407i
$162$	−11.9456	−	4.39335i	−0.938539	−	0.345174i
$163$		−	12.4423i		−	0.974555i	−0.873247	−	0.487277i	$-0.837990\pi$
$163$		−	12.4423i		−	0.974555i	0.873247	−	0.487277i	$-0.162010\pi$
$164$	−0.690717	−	1.44845i	−0.0539360	−	0.113105i
$165$	−2.65376	+	0.880522i	−0.206595	+	0.0685485i
$166$	8.48356	+	4.54153i	0.658452	+	0.352491i
$167$	1.39778	+	9.72180i	0.108164	+	0.752296i	0.969647	+	0.244510i	$0.0786270\pi$
$167$	1.39778	+	9.72180i	0.108164	+	0.752296i	−0.861483	+	0.507786i	$0.830464\pi$
$168$	0.898120	+	0.0105719i	0.0692914	+	0.000815637i
$169$	−20.2958	+	23.4226i	−1.56122	+	1.80174i
$170$	−7.90808	−	1.65179i	−0.606522	−	0.126687i
$171$	−15.9051	−	1.16722i	−1.21630	−	0.0892597i
$172$	5.56176	+	11.6631i	0.424080	+	0.889306i
$173$	8.05050	+	3.67654i	0.612068	+	0.279522i	0.697233	−	0.716845i	$-0.254414\pi$
$173$	8.05050	+	3.67654i	0.612068	+	0.279522i	−0.0851648	+	0.996367i	$0.527142\pi$
$174$	0.168574	−	5.94626i	0.0127795	−	0.450784i
$175$	−0.141149	−	0.480708i	−0.0106698	−	0.0363381i
$176$	2.24847	+	0.580016i	0.169485	+	0.0437204i
$177$	3.78144	−	6.35982i	0.284230	−	0.478034i
$178$	−3.24254	−	2.38567i	−0.243038	−	0.178813i
$179$	8.88152	−	10.2498i	0.663836	−	0.766107i	−0.319563	−	0.947565i	$-0.603536\pi$
$179$	8.88152	−	10.2498i	0.663836	−	0.766107i	0.983399	+	0.181458i	$0.0580815\pi$
$180$	9.80106	−	13.5024i	0.730528	−	1.00641i
$181$	2.59397	+	2.99360i	0.192808	+	0.222513i	0.843920	−	0.536470i	$-0.180242\pi$
$181$	2.59397	+	2.99360i	0.192808	+	0.222513i	−0.651111	+	0.758982i	$0.725697\pi$
$182$	−0.614318	−	1.60628i	−0.0455363	−	0.119065i
$183$	−10.5578	+	5.27261i	−0.780455	+	0.389763i
$184$	−8.25898	−	5.86804i	−0.608860	−	0.432598i
$185$	6.07993	−	9.46056i	0.447006	−	0.695554i
$186$	11.7095	+	5.75400i	0.858581	+	0.421904i
$187$	−0.335984	+	1.14426i	−0.0245696	+	0.0836764i
$188$	−4.94506	−	4.14347i	−0.360656	−	0.302193i
$189$	−0.850708	−	0.428799i	−0.0618799	−	0.0311905i
$190$	7.14318	−	19.6473i	0.518221	−	1.42536i
$191$	11.4542	−	13.2189i	0.828799	−	0.956485i	−0.170786	−	0.985308i	$-0.554631\pi$
$191$	11.4542	−	13.2189i	0.828799	−	0.956485i	0.999585	+	0.0288235i	$0.00917607\pi$
$192$	−12.9183	+	5.01180i	−0.932296	+	0.361695i
$193$	−1.56558	+	3.42815i	−0.112693	+	0.246764i	−0.957572	−	0.288194i	$-0.906945\pi$
$193$	−1.56558	+	3.42815i	−0.112693	+	0.246764i	0.844879	+	0.534958i	$0.179672\pi$
$194$	−24.6578	+	1.96904i	−1.77033	+	0.141369i
$195$	−30.9461	−	7.92912i	−2.21610	−	0.567816i
$196$	−13.8219	−	1.75404i	−0.987280	−	0.125289i
$197$	−6.29384	+	21.4349i	−0.448418	+	1.52717i	0.356794	+	0.934183i	$0.383870\pi$
$197$	−6.29384	+	21.4349i	−0.448418	+	1.52717i	−0.805212	+	0.592987i	$0.797948\pi$
$198$	−1.87169	−	1.60088i	−0.133016	−	0.113769i
$199$	15.2481	+	2.19235i	1.08091	+	0.155411i	0.659683	−	0.751544i	$-0.270690\pi$
$199$	15.2481	+	2.19235i	1.08091	+	0.155411i	0.421227	+	0.906955i	$0.361600\pi$
$200$	4.78420	+	6.07039i	0.338294	+	0.429241i
$201$	−9.42666	−	10.5895i	−0.664905	−	0.746928i
$202$	12.0134	−	2.71779i	0.845258	−	0.191223i
$203$	0.0633653	−	0.440715i	0.00444737	−	0.0309321i
$204$	−2.35268	−	6.71617i	−0.164721	−	0.470226i
$205$	−2.14078	−	0.628590i	−0.149519	−	0.0439026i
$206$	−21.3441	−	7.76011i	−1.48712	−	0.540673i
$207$	5.13247	+	9.44103i	0.356732	+	0.656197i
$208$	18.0288	+	19.4639i	1.25007	+	1.34958i
$209$	−2.80714	−	1.28198i	−0.194174	−	0.0886764i
$210$	0.844217	−	0.920237i	0.0582565	−	0.0635024i
$211$	1.81560	+	1.57323i	0.124991	+	0.108305i	0.715113	−	0.699008i	$-0.246375\pi$
$211$	1.81560	+	1.57323i	0.124991	+	0.108305i	−0.590122	+	0.807314i	$0.700920\pi$
$212$	−1.88608	+	14.8624i	−0.129537	+	1.02075i
$213$	−22.0265	−	9.14761i	−1.50923	−	0.626784i
$214$	−5.38498	+	4.10120i	−0.368110	+	0.280353i
$215$	17.2379	+	5.06150i	1.17561	+	0.345192i
$216$	14.6438	+	1.24811i	0.996387	+	0.0849234i
$217$	0.821516	+	0.527956i	0.0557681	+	0.0358400i
$218$	−0.913308	−	1.64014i	−0.0618570	−	0.111084i
$219$	−4.82752	+	2.41089i	−0.326214	+	0.162913i
$220$	2.68675	−	1.79026i	0.181141	−	0.120700i
$221$	−10.2975	+	8.92285i	−0.692686	+	0.600216i
$222$	9.90210	+	0.280720i	0.664586	+	0.0188407i
$223$	3.97120	+	3.44107i	0.265931	+	0.230431i	0.777611	−	0.628745i	$-0.216431\pi$
$223$	3.97120	+	3.44107i	0.265931	+	0.230431i	−0.511680	+	0.859176i	$0.670977\pi$
$224$	−1.00343	+	0.262242i	−0.0670444	+	0.0175218i
$225$	−1.72772	−	8.01377i	−0.115181	−	0.534251i
$226$	4.36983	+	5.73770i	0.290677	+	0.381666i
$227$	−13.2687	+	3.89606i	−0.880678	+	0.258590i	−0.690651	−	0.723188i	$-0.742676\pi$
$227$	−13.2687	+	3.89606i	−0.880678	+	0.258590i	−0.190027	+	0.981779i	$0.560858\pi$
$228$	18.0691	−	3.55274i	1.19665	−	0.235286i
$229$	−4.03546	+	8.83642i	−0.266671	+	0.583927i	−0.994838	−	0.101472i	$-0.967645\pi$
$229$	−4.03546	+	8.83642i	−0.266671	+	0.583927i	0.728168	+	0.685399i	$0.240372\pi$
$230$	−13.7393	+	3.10824i	−0.905940	+	0.204951i
$231$	−0.125492	−	0.135039i	−0.00825678	−	0.00888492i
$232$	1.62646	+	6.67356i	0.106782	+	0.438141i
$233$	8.21932	+	7.12208i	0.538466	+	0.466583i	0.881130	−	0.472875i	$-0.156784\pi$
$233$	8.21932	+	7.12208i	0.538466	+	0.466583i	−0.342664	+	0.939458i	$0.611329\pi$
$234$	−8.10144	−	26.9487i	−0.529608	−	1.76169i
$235$	−8.87875	+	1.27657i	−0.579186	+	0.0832743i
$236$	−2.27088	+	8.23642i	−0.147822	+	0.536145i
$237$	−16.2313	+	5.38558i	−1.05434	+	0.349831i
$238$	−0.117531	−	0.519518i	−0.00761838	−	0.0336753i
$239$	19.1409			1.23812			0.619062	−	0.785342i	$-0.287513\pi$
$239$	19.1409			1.23812			0.619062	+	0.785342i	$0.287513\pi$
$240$	−6.79553	+	18.0274i	−0.438649	+	1.16366i
$241$	2.62188	−	1.68498i	0.168890	−	0.108539i	−0.453465	−	0.891274i	$-0.649812\pi$
$241$	2.62188	−	1.68498i	0.168890	−	0.108539i	0.622355	+	0.782735i	$0.286176\pi$
$242$	7.33637	+	13.1749i	0.471600	+	0.846911i
$243$	−13.3693	−	8.01642i	−0.857638	−	0.514254i
$244$	10.1492	−	9.09309i	0.649734	−	0.582126i
$245$	−14.6403	+	12.6859i	−0.935333	+	0.810470i
$246$	−0.500045	−	1.90068i	−0.0318817	−	0.121183i
$247$	−19.0625	−	29.6619i	−1.21292	−	1.88734i
$248$	−14.7960	−	2.83547i	−0.939545	−	0.180053i
$249$	9.16970	+	7.40345i	0.581106	+	0.469175i
$250$	−8.89888	−	0.562392i	−0.562814	−	0.0355688i
$251$	28.7297	−	8.43579i	1.81340	−	0.532463i	0.814537	−	0.580112i	$-0.196991\pi$
$251$	28.7297	−	8.43579i	1.81340	−	0.532463i	0.998864	+	0.0476492i	$0.0151730\pi$
$252$	1.07823	+	0.217988i	0.0679220	+	0.0137320i
$253$	0.295931	+	2.05824i	0.0186050	+	0.129401i
$254$	20.2765	+	1.28144i	1.27226	+	0.0804046i
$255$	−9.13772	−	3.79490i	−0.572226	−	0.237646i
$256$	12.8575	−	9.52281i	0.803596	−	0.595176i
$257$	9.51974	−	14.8130i	0.593825	−	0.924010i	−0.406123	−	0.913818i	$-0.633120\pi$
$257$	9.51974	−	14.8130i	0.593825	−	0.924010i	0.999948	−	0.0101913i	$-0.00324404\pi$
$258$	4.02644	+	15.3046i	0.250675	+	0.952823i
$259$	0.733908	+	0.105520i	0.0456029	+	0.00655670i
$260$	36.8828	−	0.611254i	2.28737	−	0.0379084i
$261$	1.56187	−	7.11619i	0.0966771	−	0.440481i
$262$	16.1250	+	15.8600i	0.996207	+	0.979834i
$263$	15.9475	+	10.2488i	0.983365	+	0.631970i	0.930369	−	0.366624i	$-0.119487\pi$
$263$	15.9475	+	10.2488i	0.983365	+	0.631970i	0.0529961	+	0.998595i	$0.483123\pi$
$264$	2.57287	+	1.21179i	0.158349	+	0.0745804i
$265$	13.6408	+	15.7423i	0.837948	+	0.967043i
$266$	1.37396	−	0.109717i	0.0842432	−	0.00672721i
$267$	−3.35627	−	3.61160i	−0.205400	−	0.221026i
$268$	13.7290	+	8.91712i	0.838631	+	0.544700i
$269$		−	3.50754i		−	0.213859i	−0.994267	−	0.106929i	$-0.965898\pi$
$269$		−	3.50754i		−	0.213859i	0.994267	−	0.106929i	$-0.0341019\pi$
$270$	14.8789	−	14.0064i	0.905503	−	0.852403i
$271$	−15.1339	+	13.1136i	−0.919321	+	0.796596i	−0.979469	−	0.201594i	$-0.935388\pi$
$271$	−15.1339	+	13.1136i	−0.919321	+	0.796596i	0.0601487	+	0.998189i	$0.480843\pi$
$272$	4.66919	+	6.76176i	0.283111	+	0.409992i
$273$	−0.372047	−	2.07313i	−0.0225173	−	0.125471i
$274$	8.04508	−	8.17951i	0.486021	−	0.494142i
$275$	0.225760	−	1.57020i	0.0136139	−	0.0946865i
$276$	−8.59630	−	8.94822i	−0.517436	−	0.538620i
$277$	1.57512	−	10.9552i	0.0946399	−	0.658235i	−0.886183	−	0.463335i	$-0.846653\pi$
$277$	1.57512	−	10.9552i	0.0946399	−	0.658235i	0.980823	−	0.194900i	$-0.0624382\pi$
$278$	2.26386	−	4.22888i	0.135777	−	0.253631i
$279$	12.7741	+	9.59962i	0.764766	+	0.574714i
$280$	−0.659411	+	1.28240i	−0.0394073	+	0.0766383i
$281$	−16.6436	+	7.60089i	−0.992876	+	0.453431i	−0.844532	−	0.535505i	$-0.820121\pi$
$281$	−16.6436	+	7.60089i	−0.992876	+	0.453431i	−0.148343	+	0.988936i	$0.547394\pi$
$282$	−5.00305	−	6.11575i	−0.297927	−	0.364188i
$283$	−11.1297	+	1.60020i	−0.661589	+	0.0951222i	−0.464927	−	0.885349i	$-0.653919\pi$
$283$	−11.1297	+	1.60020i	−0.661589	+	0.0951222i	−0.196662	+	0.980471i	$0.563010\pi$
$284$	27.3210	+	3.46712i	1.62120	+	0.205736i
$285$	13.0853	−	22.0076i	0.775108	−	1.30362i
$286$	0.343447	−	5.43445i	0.0203084	−	0.321346i
$287$	−0.0209351	−	0.145607i	−0.00123576	−	0.00859491i
$288$	−16.6891	+	3.07784i	−0.983416	+	0.181363i
$289$	10.7511	−	6.90930i	0.632416	−	0.406429i
$290$	8.41981	+	4.50741i	0.494428	+	0.264684i
$291$	−30.1190	−	3.26640i	−1.76561	−	0.191480i
$292$	4.64068	−	4.15779i	0.271575	−	0.243316i
$293$	−17.7891	+	8.12401i	−1.03925	+	0.474610i	−0.860589	−	0.509301i	$-0.829904\pi$
$293$	−17.7891	+	8.12401i	−1.03925	+	0.474610i	−0.178662	+	0.983911i	$0.557177\pi$
$294$	−16.2301	−	5.26956i	−0.946557	−	0.307327i
$295$	6.42230	+	9.99330i	0.373921	+	0.581832i
$296$	−11.1133	+	2.70849i	−0.645945	+	0.157428i
$297$	−1.88620	−	2.35401i	−0.109448	−	0.136593i
$298$	13.5896	−	3.07438i	0.787224	−	0.178094i
$299$	−9.86949	+	21.6112i	−0.570768	+	1.24981i
$300$	4.36909	+	8.39752i	0.252250	+	0.484831i
$301$	0.168573	+	1.17245i	0.00971638	+	0.0675789i
$302$	10.1848	+	26.6305i	0.586069	+	1.53241i
$303$	15.0760	−	0.524438i	0.866094	−	0.0301282i
$304$	−19.0390	+	9.46942i	−1.09196	+	0.543108i
$305$		−	18.9465i		−	1.08487i
$306$	−1.29582	−	8.61881i	−0.0740770	−	0.492705i
$307$	−23.2032	−	10.5965i	−1.32428	−	0.604776i	−0.377303	−	0.926090i	$-0.623148\pi$
$307$	−23.2032	−	10.5965i	−1.32428	−	0.604776i	−0.946973	+	0.321314i	$0.895876\pi$
$308$	0.180956	+	0.112101i	0.0103109	+	0.00638753i
$309$	−23.9083	−	14.2155i	−1.36010	−	0.808690i
$310$	−16.6639	+	12.6912i	−0.946444	+	0.720812i
$311$	−20.3073	+	5.96277i	−1.15152	+	0.338118i	−0.801133	−	0.598486i	$-0.795769\pi$
$311$	−20.3073	+	5.96277i	−1.15152	+	0.338118i	−0.350390	+	0.936604i	$0.613951\pi$
$312$	17.2443	+	27.5401i	0.976266	+	1.55915i
$313$	−10.9450	+	12.6312i	−0.618646	+	0.713956i	−0.975449	−	0.220224i	$-0.929321\pi$
$313$	−10.9450	+	12.6312i	−0.618646	+	0.713956i	0.356803	+	0.934180i	$0.383867\pi$
$314$	21.7853	+	21.4272i	1.22941	+	1.20921i
$315$	1.22611	−	0.914310i	0.0690835	−	0.0515155i
$316$	16.4331	−	10.9499i	0.924435	−	0.615980i
$317$	9.79622	−	33.3629i	0.550211	−	1.87385i	0.0682177	−	0.997670i	$-0.478269\pi$
$317$	9.79622	−	33.3629i	0.550211	−	1.87385i	0.481993	−	0.876175i	$-0.339913\pi$
$318$	−5.66623	+	17.4518i	−0.317746	+	0.978648i
$319$	0.762198	−	1.18600i	0.0426749	−	0.0664035i
$320$	2.06780	−	22.1498i	0.115594	−	1.23821i
$321$	−7.41672	+	3.70394i	−0.413961	+	0.206734i
$322$	−0.562718	−	0.738862i	−0.0313590	−	0.0411752i
$323$	−4.53659	−	9.93375i	−0.252423	−	0.552728i
$324$	17.3347	+	4.84866i	0.963037	+	0.269370i
$325$	11.8691	−	13.6977i	0.658382	−	0.759813i
$326$	1.40067	+	17.5402i	0.0775757	+	0.971462i
$327$	−0.724061	−	2.18221i	−0.0400407	−	0.120676i
$328$	1.13678	+	1.96416i	0.0627681	+	0.108453i
$329$	−0.319741	−	0.497527i	−0.0176279	−	0.0274296i
$330$	3.64195	−	1.54004i	0.200483	−	0.0847762i
$331$	−6.62429	+	22.5603i	−0.364104	+	1.24002i	0.550213	+	0.835025i	$0.314547\pi$
$331$	−6.62429	+	22.5603i	−0.364104	+	1.24002i	−0.914317	+	0.405000i	$0.867272\pi$
$332$	−12.4708	−	5.44730i	−0.684421	−	0.298959i
$333$	11.8504	+	2.60092i	0.649395	+	0.142530i
$334$	−3.06491	−	13.5477i	−0.167704	−	0.741299i
$335$	21.9718	−	5.94378i	1.20044	−	0.324743i
$336$	−1.26729	+	0.0862007i	−0.0691365	+	0.00470263i
$337$	−2.11159	+	14.6864i	−0.115025	+	0.800019i	0.847882	+	0.530186i	$0.177878\pi$
$337$	−2.11159	+	14.6864i	−0.115025	+	0.800019i	−0.962907	+	0.269834i	$0.913031\pi$
$338$	25.9748	−	35.3042i	1.41284	−	1.92030i
$339$	3.94655	+	7.90251i	0.214347	+	0.429205i
$340$	11.3342	+	1.43834i	0.614682	+	0.0780049i
$341$	1.67169	+	2.60120i	0.0905271	+	0.140863i
$342$	22.5533	−	0.145026i	1.21954	−	0.00784210i
$343$	−2.32921	−	1.06371i	−0.125765	−	0.0574352i
$344$	−9.15352	−	15.8157i	−0.493525	−	0.852727i
$345$	−17.2419	+	0.599780i	−0.928272	+	0.0322911i
$346$	−11.7629	−	4.27664i	−0.632376	−	0.229914i
$347$	8.53401	+	18.6869i	0.458130	+	1.00316i	0.987910	+	0.155029i	$0.0495472\pi$
$347$	8.53401	+	18.6869i	0.458130	+	1.00316i	−0.529780	+	0.848135i	$0.677726\pi$
$348$	0.431746	+	8.40157i	0.0231440	+	0.450371i
$349$	−31.1055	−	9.13340i	−1.66504	−	0.488899i	−0.692457	−	0.721460i	$-0.743472\pi$
$349$	−31.1055	−	9.13340i	−1.66504	−	0.488899i	−0.972582	+	0.232560i	$0.925290\pi$
$350$	0.253096	+	0.661777i	0.0135285	+	0.0353735i
$351$	−3.58870	−	34.2771i	−0.191551	−	1.82958i
$352$	−3.23502	−	0.564547i	−0.172427	−	0.0300904i
$353$	3.21325	−	10.9433i	0.171024	−	0.582454i	−0.828716	−	0.559669i	$-0.810928\pi$
$353$	3.21325	−	10.9433i	0.171024	−	0.582454i	0.999740	−	0.0227854i	$-0.00725344\pi$
$354$	−4.61485	+	9.39130i	−0.245276	+	0.499142i
$355$	28.9386	−	25.0754i	1.53590	−	1.33087i
$356$	4.83965	+	2.99812i	0.256501	+	0.158900i
$357$	−0.0226793	−	0.651961i	−0.00120031	−	0.0345055i
$358$	−11.3667	+	15.4493i	−0.600746	+	0.816519i
$359$	17.6802	−	5.19137i	0.933124	−	0.273990i	0.220380	−	0.975414i	$-0.429270\pi$
$359$	17.6802	−	5.19137i	0.933124	−	0.273990i	0.712744	+	0.701424i	$0.247452\pi$
$360$	−12.2968	+	20.1380i	−0.648098	+	1.06136i
$361$	8.88441	−	2.60870i	0.467601	−	0.137300i
$362$	−3.99379	−	3.92815i	−0.209909	−	0.206459i
$363$	5.81620	+	17.5291i	0.305271	+	0.920041i
$364$	1.04684	+	2.19525i	0.0548695	+	0.115063i
$365$		−	8.66321i		−	0.453453i
$366$	14.2900	−	8.62146i	0.746953	−	0.450651i
$367$	−3.63725	−	3.15170i	−0.189863	−	0.164517i	0.554742	−	0.832022i	$-0.312817\pi$
$367$	−3.63725	−	3.15170i	−0.189863	−	0.164517i	−0.744605	+	0.667505i	$0.767362\pi$
$368$	12.3035	+	7.34259i	0.641363	+	0.382759i
$369$	−0.167263	−	2.40125i	−0.00870737	−	0.125004i
$370$	−7.50603	+	14.0212i	−0.390220	+	0.728929i
$371$	−0.570517	+	1.24926i	−0.0296197	+	0.0648582i
$372$	−17.1549	−	6.79339i	−0.889441	−	0.352221i
$373$	−4.50239			−0.233125			−0.116562	−	0.993183i	$-0.537187\pi$
$373$	−4.50239			−0.233125			−0.116562	+	0.993183i	$0.537187\pi$
$374$	0.344833	−	1.65091i	0.0178309	−	0.0853666i
$375$	−10.5789	−	2.71055i	−0.546290	−	0.139972i
$376$	7.43763	+	5.28447i	0.383566	+	0.272526i
$377$	14.6520	−	6.69136i	0.754618	−	0.344622i
$378$	1.24754	+	0.508722i	0.0641663	+	0.0261658i
$379$	23.9822	−	20.7807i	1.23188	−	1.06743i	0.236482	−	0.971636i	$-0.424006\pi$
$379$	23.9822	−	20.7807i	1.23188	−	1.06743i	0.995401	−	0.0957969i	$-0.0305399\pi$
$380$	−7.85818	+	28.5014i	−0.403116	+	1.46209i
$381$	24.1045	+	6.17612i	1.23491	+	0.316412i
$382$	−14.6592	+	19.9244i	−0.750031	+	1.01942i
$383$	3.35549	+	23.3380i	0.171458	+	1.19251i	0.875807	+	0.482661i	$0.160330\pi$
$383$	3.35549	+	23.3380i	0.171458	+	1.19251i	−0.704349	+	0.709854i	$0.748761\pi$
$384$	17.6470	−	8.51951i	0.900547	−	0.434759i
$385$	0.283975	−	0.0833827i	0.0144727	−	0.00424958i
$386$	1.82113	−	5.00900i	0.0926929	−	0.254951i
$387$	1.34683	+	19.3352i	0.0684631	+	0.982864i
$388$	34.5391	−	5.55161i	1.75345	−	0.281840i
$389$	−23.5636	+	10.7611i	−1.19472	+	0.545612i	−0.910645	−	0.413190i	$-0.864415\pi$
$389$	−23.5636	+	10.7611i	−1.19472	+	0.545612i	−0.284078	+	0.958801i	$0.591687\pi$
$390$	44.5182	+	7.69418i	2.25427	+	0.389610i
$391$	−3.97830	+	6.19035i	−0.201191	+	0.313059i
$392$	19.6826	+	0.916744i	0.994120	+	0.0463026i
$393$	15.7773	+	22.7687i	0.795858	+	1.14853i
$394$	6.45960	−	30.9258i	0.325430	−	1.55802i
$395$	3.90739	−	27.1765i	0.196602	−	1.36740i
$396$	2.81879	+	2.04610i	0.141650	+	0.102820i
$397$	−19.9015	−	12.7899i	−0.998825	−	0.641906i	−0.0643477	−	0.997928i	$-0.520497\pi$
$397$	−19.9015	−	12.7899i	−0.998825	−	0.641906i	−0.934478	+	0.356021i	$0.884133\pi$
$398$	−21.7425	−	1.37408i	−1.08985	−	0.0688765i
$399$	1.67827	+	0.182008i	0.0840187	+	0.00911180i
$400$	−7.42777	−	8.01901i	−0.371389	−	0.400951i
$401$			18.5936i			0.928518i	0.885699	+	0.464259i	$0.153679\pi$
$401$			18.5936i			0.928518i	−0.885699	+	0.464259i	$0.846321\pi$
$402$	14.4811	+	13.8671i	0.722252	+	0.691630i
$403$			35.3281i			1.75982i
$404$	−16.6296	+	5.18372i	−0.827354	+	0.257900i
$405$	21.1040	−	13.4523i	1.04867	−	0.668451i
$406$	−0.0397150	+	0.628421i	−0.00197102	+	0.0311880i
$407$	1.97501	+	1.26926i	0.0978977	+	0.0629151i
$408$	4.07270	+	9.20311i	0.201629	+	0.455622i
$409$	1.48992	−	10.3626i	0.0736719	−	0.512399i	−0.919254	−	0.393665i	$-0.871207\pi$
$409$	1.48992	−	10.3626i	0.0736719	−	0.512399i	0.992926	−	0.118735i	$-0.0378838\pi$
$410$	3.08868	+	0.645145i	0.152539	+	0.0318614i
$411$	11.5495	−	8.00311i	0.569696	−	0.394764i
$412$	30.9630	+	8.53686i	1.52544	+	0.420581i
$413$	−0.423434	+	0.658876i	−0.0208358	+	0.0324212i
$414$	−8.29819	−	12.7315i	−0.407834	−	0.625718i
$415$	−17.2112	+	7.86009i	−0.844865	+	0.385837i
$416$	−27.6068	−	25.4092i	−1.35353	−	1.24579i
$417$	3.69047	−	4.57091i	0.180723	−	0.223838i
$418$	4.10162	+	1.49123i	0.200617	+	0.0729385i
$419$	−18.5946	+	5.45985i	−0.908403	+	0.266731i	−0.702369	−	0.711813i	$-0.747874\pi$
$419$	−18.5946	+	5.45985i	−0.908403	+	0.266731i	−0.206035	+	0.978545i	$0.566056\pi$
$420$	−1.08652	+	1.39232i	−0.0530168	+	0.0679382i
$421$	1.63938	+	11.4021i	0.0798986	+	0.555707i	0.989972	+	0.141261i	$0.0451156\pi$
$421$	1.63938	+	11.4021i	0.0798986	+	0.555707i	−0.910074	+	0.414446i	$0.863975\pi$
$422$	−2.73660	−	2.01343i	−0.133216	−	0.0980123i
$423$	−4.62205	−	8.50212i	−0.224732	−	0.413387i
$424$	0.985752	−	21.1642i	0.0478724	−	1.02782i
$425$	4.24252	−	3.67617i	0.205793	−	0.178320i
$426$	32.0811	+	10.4160i	1.55433	+	0.504659i
$427$	1.13629	−	0.518926i	0.0549889	−	0.0251126i
$428$	7.12966	−	6.38778i	0.344625	−	0.308765i
$429$	1.65530	−	6.46040i	0.0799188	−	0.311911i
$430$	−24.8705	−	5.19481i	−1.19936	−	0.250516i
$431$	−38.8720			−1.87240			−0.936200	−	0.351468i	$-0.885683\pi$
$431$	−38.8720			−1.87240			−0.936200	+	0.351468i	$0.885683\pi$
$432$	−20.7843	−	0.110995i	−0.999986	−	0.00534025i
$433$	−6.25803	+	13.7032i	−0.300742	+	0.658533i	−0.998318	−	0.0579780i	$-0.981535\pi$
$433$	−6.25803	+	13.7032i	−0.300742	+	0.658533i	0.697576	+	0.716511i	$0.254262\pi$
$434$	−1.21755	−	0.651793i	−0.0584441	−	0.0312871i
$435$	9.10079	+	7.34782i	0.436350	+	0.352301i
$436$	1.47215	+	2.20934i	0.0705032	+	0.105808i
$437$	−14.3907	−	12.4697i	−0.688403	−	0.596504i
$438$	6.53408	−	3.94214i	0.312210	−	0.188363i
$439$			18.3189i			0.874314i	0.899385	+	0.437157i	$0.144015\pi$
$439$			18.3189i			0.874314i	−0.899385	+	0.437157i	$0.855985\pi$
$440$	−3.58605	+	2.82624i	−0.170958	+	0.134736i
$441$	−18.3241	−	10.0499i	−0.872578	−	0.478567i
$442$	13.5122	−	13.7380i	0.642710	−	0.653450i
$443$	−25.8633	+	7.59414i	−1.22880	+	0.360809i	−0.830797	−	0.556575i	$-0.812115\pi$
$443$	−25.8633	+	7.59414i	−1.22880	+	0.360809i	−0.398004	+	0.917384i	$0.630297\pi$
$444$	−13.9909	+	0.718973i	−0.663977	+	0.0341209i
$445$	7.59488	−	2.23006i	0.360032	−	0.105715i
$446$	−5.98568	−	4.40391i	−0.283430	−	0.208531i
$447$	17.0541	−	0.593247i	0.806630	−	0.0280596i
$448$	1.38504	−	0.482648i	0.0654369	−	0.0228030i
$449$	18.4075	−	15.9502i	0.868703	−	0.752735i	−0.101550	−	0.994830i	$-0.532380\pi$
$449$	18.4075	−	15.9502i	0.868703	−	0.752735i	0.970252	+	0.242095i	$0.0778347\pi$
$450$	3.33775	+	11.1027i	0.157343	+	0.523387i
$451$	0.131226	−	0.446915i	0.00617920	−	0.0210444i
$452$	−6.80618	−	7.59665i	−0.320136	−	0.357317i
$453$	6.16818	+	34.3704i	0.289806	+	1.61486i
$454$	18.2667	−	6.98608i	0.857299	−	0.327873i
$455$	3.24454	+	0.952684i	0.152107	+	0.0446625i
$456$	−25.0725	+	7.04248i	−1.17413	+	0.329794i
$457$	15.0086	+	32.8642i	0.702071	+	1.53732i	0.837442	+	0.546526i	$0.184050\pi$
$457$	15.0086	+	32.8642i	0.702071	+	1.53732i	−0.135372	+	0.990795i	$0.543223\pi$
$458$	4.69415	−	12.9112i	0.219343	−	0.603302i
$459$	0.410685	−	10.6666i	0.0191691	−	0.497874i
$460$	19.0187	−	5.92843i	0.886751	−	0.276415i
$461$	11.5741	+	5.28573i	0.539061	+	0.246181i	0.666290	−	0.745692i	$-0.267881\pi$
$461$	11.5741	+	5.28573i	0.539061	+	0.246181i	−0.127229	+	0.991873i	$0.540608\pi$
$462$	0.192111	+	0.176241i	0.00893782	+	0.00819947i
$463$	−16.6901	−	25.9703i	−0.775654	−	1.20694i	−0.973942	−	0.226798i	$-0.927174\pi$
$463$	−16.6901	−	25.9703i	−0.775654	−	1.20694i	0.198287	−	0.980144i	$-0.436462\pi$
$464$	−3.04413	−	9.22480i	−0.141320	−	0.428251i
$465$	−22.9511	+	11.4619i	−1.06433	+	0.531532i
$466$	−12.3887	−	9.11491i	−0.573897	−	0.422240i
$467$	0.891183	−	6.19832i	0.0412390	−	0.286824i	−0.958758	−	0.284225i	$-0.908264\pi$
$467$	0.891183	−	6.19832i	0.0412390	−	0.286824i	0.999997	−	0.00259876i	$-0.000827213\pi$
$468$	14.4545	+	37.0783i	0.668160	+	1.71394i
$469$	0.958256	+	1.15493i	0.0442482	+	0.0533298i
$470$	12.3729	−	2.79912i	0.570719	−	0.129114i
$471$	21.3155	+	30.7610i	0.982165	+	1.41739i
$472$	2.27412	−	11.8667i	0.104675	−	0.546211i
$473$	−1.05665	+	3.59863i	−0.0485850	+	0.165465i
$474$	22.2755	−	9.41941i	1.02315	−	0.432648i
$475$	7.85366	+	12.2205i	0.360351	+	0.560716i
$476$	0.224170	+	0.719147i	0.0102748	+	0.0329620i
$477$	−10.8064	+	19.7035i	−0.494792	+	0.902161i
$478$	−26.9835	+	2.15475i	−1.23420	+	0.0985562i
$479$	−10.7976	+	12.4611i	−0.493353	+	0.569360i	−0.946759	−	0.321944i	$-0.895664\pi$
$479$	−10.7976	+	12.4611i	−0.493353	+	0.569360i	0.453405	+	0.891305i	$0.350209\pi$
$480$	7.55043	−	26.1787i	0.344629	−	1.19489i
$481$	11.1429	+	24.3995i	0.508072	+	1.11252i
$482$	−3.50645	+	2.67052i	−0.159715	+	0.121639i
$483$	−0.508210	−	1.01763i	−0.0231244	−	0.0463039i
$484$	−11.8254	−	17.7471i	−0.537518	−	0.806684i
$485$	26.2961	−	40.9176i	1.19405	−	1.85797i
$486$	19.7494	+	9.79594i	0.895852	+	0.444353i
$487$	2.09084	−	7.12074i	0.0947449	−	0.322671i	−0.898459	−	0.439057i	$-0.855313\pi$
$487$	2.09084	−	7.12074i	0.0947449	−	0.322671i	0.993204	+	0.116386i	$0.0371308\pi$
$488$	−13.2839	+	13.9613i	−0.601335	+	0.631998i
$489$	−2.32354	+	21.4250i	−0.105074	+	0.968874i
$490$	19.2107	−	19.5317i	0.867850	−	0.882352i
$491$	14.5902	−	16.8380i	0.658447	−	0.759888i	−0.324076	−	0.946031i	$-0.605053\pi$
$491$	14.5902	−	16.8380i	0.658447	−	0.759888i	0.982523	+	0.186143i	$0.0595987\pi$
$492$	0.918892	+	2.62315i	0.0414269	+	0.118261i
$493$	4.78684	−	1.40554i	0.215589	−	0.0633025i
$494$	30.2121	+	39.6692i	1.35931	+	1.78480i
$495$	4.73408	−	1.02064i	0.212781	−	0.0458744i
$496$	21.1775	+	2.33161i	0.950896	+	0.104692i
$497$	2.29647	+	1.04876i	0.103011	+	0.0470434i
$498$	−13.7602	−	9.40458i	−0.616609	−	0.421429i
$499$			41.9560i			1.87821i	0.343634	+	0.939104i	$0.388342\pi$
$499$			41.9560i			1.87821i	−0.343634	+	0.939104i	$0.611658\pi$
$500$	12.6083	−	0.208956i	0.563860	−	0.00934479i
$501$	−0.591419	−	17.0015i	−0.0264227	−	0.759572i
$502$	−39.5513	+	15.1263i	−1.76526	+	0.675122i
$503$	−4.51424	−	31.3973i	−0.201280	−	1.39993i	−0.800492	−	0.599344i	$-0.795428\pi$
$503$	−4.51424	−	31.3973i	−0.201280	−	1.39993i	0.599211	−	0.800591i	$-0.295481\pi$
$504$	−1.54455	−	0.185924i	−0.0687996	−	0.00828171i
$505$	−10.0608	+	22.0302i	−0.447702	+	0.980330i
$506$	−0.648884	−	2.86825i	−0.0288464	−	0.127509i
$507$	39.3225	−	36.5425i	1.74637	−	1.62291i
$508$	−28.7286	+	0.476116i	−1.27463	+	0.0211242i
$509$	15.1787	+	23.6186i	0.672786	+	1.04687i	0.994968	+	0.100197i	$0.0319474\pi$
$509$	15.1787	+	23.6186i	0.672786	+	1.04687i	−0.322182	+	0.946678i	$0.604416\pi$
$510$	13.3089	+	4.32111i	0.589327	+	0.191342i
$511$	0.519565	−	0.237277i	0.0229842	−	0.0104965i
$512$	−17.0536	+	14.8720i	−0.753669	+	0.657254i
$513$	27.1699	+	4.98011i	1.19958	+	0.219877i
$514$	−11.7527	+	21.9539i	−0.518388	+	0.968347i
$515$	37.5675	−	24.1432i	1.65542	−	1.06388i
$516$	−7.39906	−	21.1220i	−0.325726	−	0.929845i
$517$	−0.266501	−	1.85355i	−0.0117207	−	0.0815191i
$518$	−1.04649	−	0.0661361i	−0.0459801	−	0.00290585i
$519$	−13.1760	−	7.83422i	−0.578363	−	0.343884i
$520$	−51.9258	+	5.01371i	−2.27710	+	0.219866i
$521$	−24.3780	+	3.50503i	−1.06802	+	0.153558i	−0.653837	−	0.756635i	$-0.726842\pi$
$521$	−24.3780	+	3.50503i	−1.06802	+	0.153558i	−0.414184	+	0.910193i	$0.635933\pi$
$522$	−1.40071	+	10.2077i	−0.0613075	+	0.446779i
$523$	−7.48353	+	3.41761i	−0.327232	+	0.149442i	−0.572256	−	0.820075i	$-0.693932\pi$
$523$	−7.48353	+	3.41761i	−0.327232	+	0.149442i	0.245024	+	0.969517i	$0.421204\pi$
$524$	−24.5173	−	20.5430i	−1.07104	−	0.897426i
$525$	0.153282	+	0.854116i	0.00668976	+	0.0372767i
$526$	−23.6354	−	12.6528i	−1.03055	−	0.551688i
$527$	−1.55720	+	10.8306i	−0.0678329	+	0.471788i
$528$	−3.76345	−	1.41865i	−0.163783	−	0.0617390i
$529$	1.44726	−	10.0659i	0.0629243	−	0.437648i
$530$	−21.0020	−	20.6568i	−0.912267	−	0.897273i
$531$	−7.69913	+	10.2452i	−0.334114	+	0.444602i
$532$	−1.92456	+	0.309343i	−0.0834404	+	0.0134117i
$533$	4.02193	−	3.48502i	0.174209	−	0.150953i
$534$	5.13799	+	4.71354i	0.222342	+	0.203975i
$535$		−	13.3096i		−	0.575426i
$536$	−20.3579	−	11.0252i	−0.879329	−	0.476215i
$537$	−17.2077	+	15.9911i	−0.742566	+	0.690068i
$538$	0.394855	+	4.94467i	0.0170234	+	0.213180i
$539$	−2.64834	−	3.05634i	−0.114072	−	0.131646i
$540$	−19.3985	+	21.4202i	−0.834777	+	0.921777i
$541$	3.34299	+	2.14841i	0.143726	+	0.0923674i	0.610528	−	0.791995i	$-0.290957\pi$
$541$	3.34299	+	2.14841i	0.143726	+	0.0923674i	−0.466801	+	0.884362i	$0.654594\pi$
$542$	19.8584	−	20.1903i	0.852993	−	0.867247i
$543$	−3.90766	−	5.63926i	−0.167694	−	0.242004i
$544$	−7.34348	−	9.00660i	−0.314849	−	0.386155i
$545$	3.65372	+	0.525326i	0.156508	+	0.0225025i
$546$	0.757863	+	2.88066i	0.0324335	+	0.123281i
$547$	15.3536	−	23.8907i	0.656473	−	1.02149i	−0.340229	−	0.940343i	$-0.610505\pi$
$547$	15.3536	−	23.8907i	0.656473	−	1.02149i	0.996702	−	0.0811489i	$-0.0258589\pi$
$548$	−10.4206	+	12.4365i	−0.445144	+	0.531262i
$549$	19.1647	−	7.10758i	0.817929	−	0.303344i
$550$	−0.141498	+	2.23896i	−0.00603351	+	0.0954698i
$551$	1.83728	+	12.7785i	0.0782707	+	0.544384i
$552$	13.1258	+	11.6468i	0.558669	+	0.495722i
$553$	1.73690	−	0.509998i	0.0738603	−	0.0216873i
$554$	−0.987227	+	15.6212i	−0.0419433	+	0.663679i
$555$	−12.2361	+	15.1553i	−0.519393	+	0.643305i
$556$	−2.71537	+	6.21641i	−0.115157	+	0.263635i
$557$	−20.2442	−	31.5006i	−0.857775	−	1.33472i	−0.941074	−	0.338199i	$-0.890182\pi$
$557$	−20.2442	−	31.5006i	−0.857775	−	1.33472i	0.0832994	−	0.996525i	$-0.473454\pi$
$558$	−19.0887	−	12.0948i	−0.808088	−	0.512014i
$559$	−32.3852	+	28.0619i	−1.36975	+	1.18689i
$560$	0.785224	−	1.88207i	0.0331818	−	0.0795320i
$561$	0.792234	−	1.90761i	0.0334481	−	0.0805396i
$562$	22.6073	−	12.5888i	0.953631	−	0.531026i
$563$	−9.21311	+	5.92091i	−0.388286	+	0.249536i	−0.720190	−	0.693777i	$-0.755945\pi$
$563$	−9.21311	+	5.92091i	−0.388286	+	0.249536i	0.331904	+	0.943313i	$0.392309\pi$
$564$	7.74140	+	8.05833i	0.325972	+	0.339317i
$565$	−14.1814			−0.596617
$566$	15.5096	−	3.50875i	0.651918	−	0.147484i
$567$	1.38480	+	0.897238i	0.0581563	+	0.0376804i
$568$	−38.9055	−	1.81208i	−1.63244	−	0.0760330i
$569$	20.0842	−	2.88768i	0.841975	−	0.121058i	0.292186	−	0.956361i	$-0.405617\pi$
$569$	20.0842	−	2.88768i	0.841975	−	0.121058i	0.549789	+	0.835304i	$0.314708\pi$
$570$	−15.9693	+	32.4977i	−0.668879	+	1.36118i
$571$	13.2075	+	11.4444i	0.552718	+	0.478933i	0.885866	−	0.463942i	$-0.153565\pi$
$571$	13.2075	+	11.4444i	0.552718	+	0.478933i	−0.333148	+	0.942875i	$0.608111\pi$
$572$	0.127607	+	7.69975i	0.00533552	+	0.321943i
$573$	−22.1922	+	20.6233i	−0.927093	+	0.861550i
$574$	0.0459042	+	0.202909i	0.00191601	+	0.00846927i
$575$	4.06618	−	8.90369i	0.169571	−	0.371310i
$576$	23.1806	−	6.21766i	0.965859	−	0.259069i
$577$	−28.3545	+	8.32562i	−1.18041	+	0.346600i	−0.812333	−	0.583195i	$-0.801803\pi$
$577$	−28.3545	+	8.32562i	−1.18041	+	0.346600i	−0.368079	+	0.929795i	$0.619984\pi$
$578$	−14.3783	+	10.9505i	−0.598057	+	0.455481i
$579$	3.33606	−	5.61075i	0.138642	−	0.233175i
$580$	−12.3770	−	5.40636i	−0.513929	−	0.224487i
$581$	−0.942798	−	0.816939i	−0.0391138	−	0.0338923i
$582$	42.8273	+	1.21413i	1.77525	+	0.0503274i
$583$	−3.28641	+	2.84769i	−0.136109	+	0.117939i
$584$	−6.07403	+	6.38376i	−0.251345	+	0.264162i
$585$	51.8071	+	19.4326i	2.14196	+	0.803440i
$586$	24.1632	−	13.4552i	0.998173	−	0.555829i
$587$	1.51144	+	0.971342i	0.0623837	+	0.0400916i	0.571461	−	0.820629i	$-0.306377\pi$
$587$	1.51144	+	0.971342i	0.0623837	+	0.0400916i	−0.509077	+	0.860721i	$0.670013\pi$
$588$	23.4732	+	5.60156i	0.968017	+	0.231004i
$589$	−27.1678	−	7.97718i	−1.11943	−	0.328694i
$590$	−10.1787	−	13.3648i	−0.419049	−	0.550221i
$591$	14.8406	−	35.7345i	0.610459	−	1.46992i
$592$	15.3618	−	5.06929i	0.631364	−	0.208346i
$593$	35.5484	+	30.8029i	1.45980	+	1.26492i	0.899707	+	0.436494i	$0.143780\pi$
$593$	35.5484	+	30.8029i	1.45980	+	1.26492i	0.560093	+	0.828430i	$0.310766\pi$
$594$	2.92402	+	3.10617i	0.119974	+	0.127448i
$595$	0.952694	+	0.435081i	0.0390566	+	0.0178366i
$596$	−18.8115	+	5.86385i	−0.770549	+	0.240193i
$597$	−25.8471	−	6.62264i	−1.05785	−	0.271046i
$598$	11.4804	−	31.5769i	0.469470	−	1.29127i
$599$	22.8070	+	6.69675i	0.931871	+	0.273622i	0.712220	−	0.701957i	$-0.247690\pi$
$599$	22.8070	+	6.69675i	0.931871	+	0.273622i	0.219651	+	0.975579i	$0.429508\pi$
$600$	−7.10456	−	11.3464i	−0.290042	−	0.463213i
$601$	4.32708	−	30.0955i	0.176505	−	1.22762i	−0.688268	−	0.725457i	$-0.741629\pi$
$601$	4.32708	−	30.0955i	0.176505	−	1.22762i	0.864773	−	0.502163i	$-0.167462\pi$
$602$	−0.369628	−	1.63386i	−0.0150649	−	0.0665910i
$603$	14.2547	+	19.9951i	0.580497	+	0.814262i
$604$	−17.3556	−	36.3952i	−0.706191	−	1.48090i
$605$	−29.3494	−	4.21981i	−1.19322	−	0.171560i
$606$	−21.1940	+	2.43647i	−0.860948	+	0.0989747i
$607$	3.46719	−	11.8082i	0.140729	−	0.479279i	−0.858721	−	0.512444i	$-0.828740\pi$
$607$	3.46719	−	11.8082i	0.140729	−	0.479279i	0.999450	+	0.0331647i	$0.0105586\pi$
$608$	25.7737	−	15.4926i	1.04526	−	0.628306i
$609$	−0.191414	+	0.747058i	−0.00775647	+	0.0302723i
$610$	2.13286	+	26.7093i	0.0863571	+	1.08143i
$611$	8.88798	−	19.4620i	0.359569	−	0.787347i
$612$	2.79700	+	12.0043i	0.113062	+	0.485245i
$613$	30.3193	−	34.9903i	1.22458	−	1.41324i	0.344258	−	0.938875i	$-0.388130\pi$
$613$	30.3193	−	34.9903i	1.22458	−	1.41324i	0.880326	−	0.474370i	$-0.157324\pi$
$614$	33.9030	+	12.3262i	1.36821	+	0.497443i
$615$	3.56894	+	1.48218i	0.143914	+	0.0597674i
$616$	−0.267718	−	0.137660i	−0.0107867	−	0.00554649i
$617$	1.22285	−	4.16464i	0.0492301	−	0.167662i	−0.931209	−	0.364486i	$-0.881245\pi$
$617$	1.22285	−	4.16464i	0.0492301	−	0.167662i	0.980439	+	0.196824i	$0.0630628\pi$
$618$	35.3045	+	17.3485i	1.42015	+	0.697858i
$619$	4.28682	−	6.67043i	0.172302	−	0.268107i	−0.744353	−	0.667786i	$-0.767242\pi$
$619$	4.28682	−	6.67043i	0.172302	−	0.268107i	0.916655	+	0.399679i	$0.130878\pi$
$620$	22.0628	−	19.7670i	0.886063	−	0.793863i
$621$	−7.07482	−	17.2155i	−0.283903	−	0.690833i
$622$	27.9565	−	10.6919i	1.12096	−	0.428708i
$623$	0.341762	+	0.394414i	0.0136924	+	0.0158019i
$624$	−27.4100	−	36.8827i	−1.09728	−	1.47649i
$625$	20.4290	−	23.5763i	0.817158	−	0.943051i
$626$	14.0075	−	19.0386i	0.559852	−	0.760935i
$627$	4.59437	+	2.73173i	0.183481	+	0.109095i
$628$	−33.1234	−	27.7541i	−1.32177	−	1.10751i
$629$	2.34061	+	7.97137i	0.0933261	+	0.317840i
$630$	−1.62555	+	1.42695i	−0.0647636	+	0.0568512i
$631$	25.4079	+	11.6034i	1.01147	+	0.461924i	0.851028	−	0.525121i	$-0.175980\pi$
$631$	25.4079	+	11.6034i	1.01147	+	0.461924i	0.160445	+	0.987045i	$0.448707\pi$
$632$	−21.9335	+	17.2863i	−0.872469	+	0.687611i
$633$	−2.83259	−	3.04808i	−0.112585	−	0.121150i
$634$	−10.0542	+	48.1353i	−0.399304	+	1.91170i
$635$	−26.1612	+	30.1916i	−1.03817	+	1.19812i
$636$	6.02322	−	25.2401i	0.238836	−	1.00084i
$637$	−6.57578	−	45.7356i	−0.260542	−	1.81211i
$638$	−0.940979	+	1.75774i	−0.0372537	+	0.0695897i
$639$	36.2203	+	19.8651i	1.43285	+	0.785852i
$640$	−0.421562	+	31.4579i	−0.0166637	+	1.24348i
$641$			21.9389i			0.866536i	0.901265	+	0.433268i	$0.142640\pi$
$641$			21.9389i			0.866536i	−0.901265	+	0.433268i	$0.857360\pi$
$642$	10.0386	−	6.05647i	0.396191	−	0.239030i
$643$	−17.7452	−	27.6121i	−0.699803	−	1.08891i	−0.991208	−	0.132315i	$-0.957759\pi$
$643$	−17.7452	−	27.6121i	−0.699803	−	1.08891i	0.291405	−	0.956600i	$-0.405877\pi$
$644$	0.876454	+	0.978247i	0.0345371	+	0.0385483i
$645$	−28.7377	−	11.9348i	−1.13154	−	0.469931i
$646$	7.51362	+	13.4932i	0.295619	+	0.530881i
$647$	−28.5945	−	32.9998i	−1.12417	−	1.29736i	−0.949863	−	0.312665i	$-0.898778\pi$
$647$	−28.5945	−	32.9998i	−1.12417	−	1.29736i	−0.174303	−	0.984692i	$-0.555767\pi$
$648$	−24.9830	−	4.88386i	−0.981423	−	0.191856i
$649$	−2.08623	+	1.34074i	−0.0818916	+	0.0526285i
$650$	−15.1903	+	20.6462i	−0.595811	+	0.809810i
$651$	−1.31602	−	1.06253i	−0.0515789	−	0.0416439i
$652$	−3.94911	−	24.5692i	−0.154659	−	0.962204i
$653$	−2.37595	−	8.09173i	−0.0929780	−	0.316654i	0.899851	−	0.436197i	$-0.143675\pi$
$653$	−2.37595	−	8.09173i	−0.0929780	−	0.316654i	−0.992829	+	0.119544i	$0.961857\pi$
$654$	1.26639	+	2.99481i	0.0495196	+	0.117106i
$655$	−44.0202	+	6.32915i	−1.72001	+	0.247300i
$656$	−1.82366	−	2.64096i	−0.0712019	−	0.103112i
$657$	8.76299	−	3.24992i	0.341877	−	0.126791i
$658$	0.506756	+	0.665383i	0.0197554	+	0.0259393i
$659$	33.2232	+	21.3513i	1.29419	+	0.831728i	0.992567	−	0.121699i	$-0.0388342\pi$
$659$	33.2232	+	21.3513i	1.29419	+	0.831728i	0.301626	+	0.953426i	$0.402471\pi$
$660$	−4.96078	+	2.58101i	−0.193098	+	0.100466i
$661$	−0.544759	+	3.78888i	−0.0211887	+	0.147370i	−0.997669	−	0.0682347i	$-0.978263\pi$
$661$	−0.544759	+	3.78888i	−0.0211887	+	0.147370i	0.976481	+	0.215605i	$0.0691724\pi$
$662$	6.79876	−	32.5495i	0.264241	−	1.26507i
$663$	19.3982	−	13.4417i	0.753362	−	0.522033i
$664$	18.1936	+	6.27532i	0.706047	+	0.243530i
$665$	−1.46526	+	2.27998i	−0.0568202	+	0.0884139i
$666$	−16.9985	−	2.33256i	−0.658680	−	0.0903848i
$667$	6.57421	−	5.69658i	0.254554	−	0.220573i
$668$	5.84579	+	18.7536i	0.226180	+	0.725597i
$669$	−6.19562	−	6.66696i	−0.239537	−	0.257760i
$670$	−30.3050	+	10.8525i	−1.17079	+	0.419270i
$671$	3.95531			0.152693
$672$	1.77683	−	0.264183i	0.0685428	−	0.0101911i
$673$	−1.56760	−	1.80911i	−0.0604266	−	0.0697360i	0.724732	−	0.689031i	$-0.241964\pi$
$673$	−1.56760	−	1.80911i	−0.0604266	−	0.0697360i	−0.785158	+	0.619295i	$0.787418\pi$
$674$	1.32346	−	20.9415i	0.0509779	−	0.806637i
$675$	1.47852	+	14.1220i	0.0569084	+	0.543555i
$676$	−32.6430	+	52.6933i	−1.25550	+	2.02667i
$677$	−18.5023	−	2.66023i	−0.711102	−	0.102241i	−0.222734	−	0.974879i	$-0.571498\pi$
$677$	−18.5023	−	2.66023i	−0.711102	−	0.102241i	−0.488367	+	0.872638i	$0.662407\pi$
$678$	−6.45316	−	10.6961i	−0.247832	−	0.410781i
$679$	3.17420	+	0.456382i	0.121815	+	0.0175143i
$680$	−16.1400	−	0.751743i	−0.618940	−	0.0288280i
$681$	23.5757	−	4.23095i	0.903425	−	0.162130i
$682$	−2.64945	−	3.47879i	−0.101453	−	0.133210i
$683$	3.47877	+	7.61744i	0.133111	+	0.291473i	0.964437	−	0.264312i	$-0.0851449\pi$
$683$	3.47877	+	7.61744i	0.133111	+	0.291473i	−0.831326	+	0.555785i	$0.812418\pi$
$684$	−31.7776	+	2.74334i	−1.21505	+	0.104894i
$685$	3.21050	+	22.3295i	0.122667	+	0.853167i
$686$	3.40329	+	1.23734i	0.129938	+	0.0472418i
$687$	8.59904	−	14.4623i	0.328074	−	0.551772i
$688$	14.6844	+	21.2654i	0.559837	+	0.810736i
$689$	−49.1783	+	7.07078i	−1.87355	+	0.269375i
$690$	24.2388	−	2.78650i	0.922756	−	0.106080i
$691$	6.07004	+	9.44516i	0.230915	+	0.359311i	0.937304	−	0.348513i	$-0.113313\pi$
$691$	6.07004	+	9.44516i	0.230915	+	0.359311i	−0.706389	+	0.707824i	$0.749677\pi$
$692$	17.0639	+	4.70471i	0.648671	+	0.178846i
$693$	0.190874	+	0.255966i	0.00725070	+	0.00972335i
$694$	−14.1343	−	25.3827i	−0.536529	−	0.963513i
$695$	3.91810	+	8.57943i	0.148622	+	0.325436i
$696$	−1.55443	−	11.7953i	−0.0589207	−	0.447100i
$697$	1.38662	−	0.891129i	0.0525221	−	0.0337539i
$698$	44.8784	+	9.37394i	1.69867	+	0.354809i
$699$	−12.8233	−	13.7988i	−0.485021	−	0.521919i
$700$	−0.431294	−	0.904433i	−0.0163014	−	0.0341844i
$701$	−15.5696	−	7.11041i	−0.588057	−	0.268557i	0.0990861	−	0.995079i	$-0.468408\pi$
$701$	−15.5696	−	7.11041i	−0.588057	−	0.268557i	−0.687143	+	0.726522i	$0.741135\pi$
$702$	8.91776	+	47.9173i	0.336579	+	1.80852i
$703$	−21.2797	+	3.05956i	−0.802579	+	0.115393i
$704$	4.62405	+	0.431680i	0.174275	+	0.0162695i
$705$	15.5272	−	0.540133i	0.584788	−	0.0203426i
$706$	−3.29788	+	15.7888i	−0.124117	+	0.594220i
$707$	−1.59679			−0.0600534
$708$	5.44846	−	13.7587i	0.204766	−	0.517082i
$709$	13.4407	−	29.4311i	0.504777	−	1.10531i	−0.470110	−	0.882608i	$-0.655786\pi$
$709$	13.4407	−	29.4311i	0.504777	−	1.10531i	0.974887	−	0.222700i	$-0.0714871\pi$
$710$	−37.9727	+	38.6072i	−1.42509	+	1.44890i
$711$	28.9553	−	6.24260i	1.08591	−	0.234116i
$712$	−7.16009	−	3.68171i	−0.268336	−	0.137978i
$713$	5.37515	+	18.3061i	0.201301	+	0.685568i
$714$	0.105365	+	0.916534i	0.00394318	+	0.0343004i
$715$	8.09185	+	7.01163i	0.302618	+	0.262220i
$716$	14.2847	−	23.0588i	0.533844	−	0.861748i
$717$	−32.9598	−	3.57448i	−1.23091	−	0.133491i
$718$	−24.3398	+	9.30872i	−0.908353	+	0.347398i
$719$	−39.7692	−	11.6773i	−1.48314	−	0.435490i	−0.562796	−	0.826596i	$-0.690274\pi$
$719$	−39.7692	−	11.6773i	−1.48314	−	0.435490i	−0.920345	+	0.391107i	$0.872092\pi$
$720$	15.0681	−	29.7733i	0.561556	−	1.10959i
$721$	2.47690	+	1.59180i	0.0922444	+	0.0592819i
$722$	−12.2309	+	4.67770i	−0.455188	+	0.174086i
$723$	−4.82943	+	2.41184i	−0.179608	+	0.0896972i
$724$	6.07235	+	5.08802i	0.225677	+	0.189095i
$725$	−6.03656	+	2.75680i	−0.224192	+	0.102385i
$726$	−10.1726	−	24.0565i	−0.377539	−	0.892821i
$727$	−9.63859	−	8.35188i	−0.357475	−	0.309754i	0.457545	−	0.889186i	$-0.348729\pi$
$727$	−9.63859	−	8.35188i	−0.357475	−	0.309754i	−0.815020	+	0.579432i	$0.803274\pi$
$728$	−1.72289	−	2.97686i	−0.0638545	−	0.110330i
$729$	21.5242	+	16.3006i	0.797193	+	0.603724i
$730$	0.975244	+	12.2127i	0.0360954	+	0.452014i
$731$	−11.1653	+	7.17551i	−0.412964	+	0.265396i
$732$	−19.1745	+	13.7626i	−0.708710	+	0.508680i
$733$	2.47571	+	0.726934i	0.0914425	+	0.0268499i	0.327134	−	0.944978i	$-0.393917\pi$
$733$	2.47571	+	0.726934i	0.0914425	+	0.0268499i	−0.235691	+	0.971828i	$0.575735\pi$
$734$	5.48232	+	4.03357i	0.202356	+	0.148882i
$735$	27.5789	−	19.1105i	1.01726	−	0.704901i
$736$	−18.1711	−	8.96601i	−0.669796	−	0.330491i
$737$	1.24084	+	4.58688i	0.0457069	+	0.168960i
$738$	0.506111	+	3.36627i	0.0186302	+	0.123914i
$739$	−3.42050	−	0.491793i	−0.125825	−	0.0180909i	0.0791146	−	0.996866i	$-0.474791\pi$
$739$	−3.42050	−	0.491793i	−0.125825	−	0.0180909i	−0.204940	+	0.978775i	$0.565700\pi$
$740$	9.00304	−	20.6111i	0.330958	−	0.757678i
$741$	27.2856	+	54.6362i	1.00236	+	2.00711i
$742$	0.663639	−	1.82533i	0.0243630	−	0.0670102i
$743$	−22.7415	+	14.6151i	−0.834303	+	0.536174i	−0.886643	−	0.462455i	$-0.846969\pi$
$743$	−22.7415	+	14.6151i	−0.834303	+	0.536174i	0.0523393	+	0.998629i	$0.483332\pi$
$744$	24.9485	+	7.64563i	0.914656	+	0.280302i
$745$	−11.3809	+	24.9207i	−0.416963	+	0.913022i
$746$	6.34713	−	0.506848i	0.232385	−	0.0185570i
$747$	−14.4072	−	14.4608i	−0.527133	−	0.529093i
$748$	−0.300272	+	2.36615i	−0.0109790	+	0.0865151i
$749$	0.798228	−	0.364539i	0.0291666	−	0.0133200i
$750$	15.2184	+	2.63024i	0.555699	+	0.0960427i
$751$	2.07641	−	7.07160i	0.0757693	−	0.258046i	−0.912894	−	0.408197i	$-0.866158\pi$
$751$	2.07641	−	7.07160i	0.0757693	−	0.258046i	0.988663	+	0.150151i	$0.0479758\pi$
$752$	−11.0799	−	6.61238i	−0.404043	−	0.241129i
$753$	−51.0465	+	9.16092i	−1.86024	+	0.333842i
$754$	−19.9021	+	11.0824i	−0.724791	+	0.403597i
$755$	−53.7914	−	15.7946i	−1.95767	−	0.574823i
$756$	−1.81595	−	0.576720i	−0.0660456	−	0.0209751i
$757$	−23.1041	−	26.6635i	−0.839732	−	0.969103i	0.160106	−	0.987100i	$-0.448816\pi$
$757$	−23.1041	−	26.6635i	−0.839732	−	0.969103i	−0.999838	+	0.0179972i	$0.994271\pi$
$758$	−31.4690	+	31.9948i	−1.14301	+	1.16210i
$759$	−0.125212	−	3.59946i	−0.00454490	−	0.130652i
$760$	7.86938	−	41.0638i	0.285453	−	1.48954i
$761$	6.88556	+	23.4501i	0.249601	+	0.850064i	0.985018	+	0.172449i	$0.0551680\pi$
$761$	6.88556	+	23.4501i	0.249601	+	0.850064i	−0.735417	+	0.677615i	$0.763014\pi$
$762$	−34.6760	−	5.99313i	−1.25618	−	0.217108i
$763$	0.0685663	+	0.233516i	0.00248227	+	0.00845383i
$764$	18.4225	−	29.7382i	0.666504	−	1.07589i
$765$	15.0260	+	8.24107i	0.543268	+	0.297957i
$766$	−7.35756	−	32.5224i	−0.265839	−	1.17508i
$767$	−28.3340			−1.02308
$768$	−23.9184	+	13.9968i	−0.863082	+	0.505065i
$769$	22.5969	−	26.0783i	0.814866	−	0.940406i	−0.184231	−	0.982883i	$-0.558979\pi$
$769$	22.5969	−	26.0783i	0.814866	−	0.940406i	0.999097	+	0.0424770i	$0.0135249\pi$
$770$	−0.390941	+	0.149515i	−0.0140885	+	0.00538814i
$771$	−19.1588	+	23.7295i	−0.689988	+	0.854599i
$772$	−2.00341	+	7.26632i	−0.0721044	+	0.261521i
$773$	17.2535	+	7.87942i	0.620566	+	0.283403i	0.700783	−	0.713374i	$-0.252834\pi$
$773$	17.2535	+	7.87942i	0.620566	+	0.283403i	−0.0802171	+	0.996777i	$0.525561\pi$
$774$	−4.07528	−	27.1057i	−0.146483	−	0.974296i
$775$		−	14.5550i		−	0.522830i
$776$	−48.0656	+	11.7144i	−1.72546	+	0.420523i
$777$	−1.24405	−	0.318755i	−0.0446301	−	0.0114353i
$778$	32.0068	−	17.8229i	1.14750	−	0.638982i
$779$	1.77187	+	3.87985i	0.0634837	+	0.139010i
$780$	−63.6246	−	5.83513i	−2.27813	−	0.208931i
$781$	5.23482	+	6.04130i	0.187317	+	0.216175i
$782$	4.91144	−	9.17455i	0.175633	−	0.328081i
$783$	−4.01838	+	11.9621i	−0.143605	+	0.427490i
$784$	−27.8502	+	0.923372i	−0.994651	+	0.0329776i
$785$	−59.4723	+	8.55083i	−2.12266	+	0.305192i
$786$	−24.8048	−	30.3215i	−0.884757	−	1.08153i
$787$	−5.72311	−	19.4911i	−0.204007	−	0.694784i	−0.996400	−	0.0847731i	$-0.972983\pi$
$787$	−5.72311	−	19.4911i	−0.204007	−	0.694784i	0.792393	−	0.610010i	$-0.208835\pi$
$788$	−5.62486	+	44.3241i	−0.200377	+	1.57898i
$789$	−25.5469	−	20.6262i	−0.909495	−	0.734310i
$790$	−2.44901	+	38.7513i	−0.0871318	+	1.37871i
$791$	−0.388416	−	0.850512i	−0.0138105	−	0.0302407i
$792$	−4.20406	−	2.56711i	−0.149385	−	0.0912184i
$793$	38.0173	+	24.4322i	1.35003	+	0.867613i
$794$	29.4954	+	15.7899i	1.04675	+	0.560362i
$795$	−20.5490	−	29.6549i	−0.728799	−	1.05175i
$796$	30.8056	−	0.510538i	1.09188	−	0.0180955i
$797$	17.1417	+	2.46460i	0.607188	+	0.0873005i	0.439050	−	0.898463i	$-0.355315\pi$
$797$	17.1417	+	2.46460i	0.607188	+	0.0873005i	0.168139	+	0.985763i	$0.446224\pi$
$798$	−2.38639	−	0.0676531i	−0.0844774	−	0.00239489i
$799$	3.58266	−	5.57472i	0.126745	−	0.197220i
$800$	11.3739	+	10.4684i	0.402126	+	0.370115i
$801$	5.10489	+	6.84577i	0.180372	+	0.241884i
$802$	−2.09314	−	26.2118i	−0.0739112	−	0.925572i
$803$	1.80856			0.0638225
$804$	−21.9754	−	17.9187i	−0.775014	−	0.631944i
$805$	1.82619			0.0643647
$806$	−3.97699	−	49.8029i	−0.140084	−	1.75423i
$807$	−0.655017	+	6.03983i	−0.0230577	+	0.212612i
$808$	22.8596	−	9.17967i	0.804200	−	0.322940i
$809$	22.9602	−	35.7268i	0.807238	−	1.25609i	−0.156085	−	0.987744i	$-0.549888\pi$
$809$	22.9602	−	35.7268i	0.807238	−	1.25609i	0.963323	−	0.268343i	$-0.0864761\pi$
$810$	−28.2365	+	21.3398i	−0.992129	+	0.749805i
$811$	−24.0785	−	3.46196i	−0.845509	−	0.121566i	−0.294073	−	0.955783i	$-0.595011\pi$
$811$	−24.0785	−	3.46196i	−0.845509	−	0.121566i	−0.551436	+	0.834217i	$0.685920\pi$
$812$	−0.0147560	−	0.890372i	−0.000517835	−	0.0312459i
$813$	28.5088	−	19.7549i	0.999849	−	0.692833i
$814$	−2.92711	−	1.56698i	−0.102595	−	0.0549226i
$815$	−29.1065	−	18.7056i	−1.01956	−	0.655230i
$816$	−6.77741	−	12.5154i	−0.237257	−	0.438126i
$817$	−14.2673	−	31.2411i	−0.499151	−	1.09299i
$818$	−0.933827	+	14.7762i	−0.0326505	+	0.516638i
$819$	0.253502	+	3.63931i	0.00885808	+	0.127168i
$820$	−4.42681	−	0.561776i	−0.154591	−	0.0196181i
$821$	0.560253	+	1.90805i	0.0195530	+	0.0665913i	0.968692	−	0.248267i	$-0.0798611\pi$
$821$	0.560253	+	1.90805i	0.0195530	+	0.0665913i	−0.949139	+	0.314859i	$0.898043\pi$
$822$	−15.3807	+	12.5824i	−0.536465	+	0.438860i
$823$	−11.5470	+	1.66020i	−0.402502	+	0.0578711i	−0.340593	−	0.940211i	$-0.610628\pi$
$823$	−11.5470	+	1.66020i	−0.402502	+	0.0578711i	−0.0619090	+	0.998082i	$0.519719\pi$
$824$	−44.6103	−	8.54903i	−1.55407	−	0.297820i
$825$	−0.681976	+	2.66165i	−0.0237434	+	0.0926668i
$826$	0.522754	−	0.976502i	0.0181889	−	0.0339769i
$827$	−17.0898	−	19.7227i	−0.594270	−	0.685824i	0.376340	−	0.926482i	$-0.377182\pi$
$827$	−17.0898	−	19.7227i	−0.594270	−	0.685824i	−0.970610	+	0.240658i	$0.922637\pi$
$828$	13.1314	+	17.0137i	0.456347	+	0.591269i
$829$	−7.96066	−	17.4314i	−0.276485	−	0.605418i	0.719544	−	0.694447i	$-0.244351\pi$
$829$	−7.96066	−	17.4314i	−0.276485	−	0.605418i	−0.996029	+	0.0890289i	$0.971624\pi$
$830$	23.3782	−	13.0181i	0.811471	−	0.451865i
$831$	−4.75812	+	18.5702i	−0.165057	+	0.644194i
$832$	41.7784	+	32.7122i	1.44841	+	1.13409i
$833$		−	14.3111i		−	0.495850i
$834$	−4.68799	+	6.85917i	−0.162332	+	0.237514i
$835$	24.8439	+	11.3458i	0.859758	+	0.392638i
$836$	−5.95003	−	1.64049i	−0.205786	−	0.0567377i
$837$	−20.2038	−	18.9156i	−0.698344	−	0.653819i
$838$	25.5986	−	9.79014i	0.884289	−	0.338195i
$839$	−5.19673	+	5.99735i	−0.179411	+	0.207051i	−0.838331	−	0.545162i	$-0.816468\pi$
$839$	−5.19673	+	5.99735i	−0.179411	+	0.207051i	0.658920	+	0.752213i	$0.271014\pi$
$840$	1.37496	−	2.08510i	0.0474406	−	0.0719428i
$841$	23.1023			0.796630
$842$	−3.59465	−	15.8894i	−0.123880	−	0.547583i
$843$	30.0790	−	9.98026i	1.03598	−	0.343739i
$844$	4.08452	+	2.53032i	0.140595	+	0.0870972i
$845$	24.2805	+	82.6918i	0.835275	+	2.84469i
$846$	7.47294	+	11.4653i	0.256925	+	0.394187i
$847$	−0.550776	−	1.87577i	−0.0189249	−	0.0644523i
$848$	0.992879	+	29.9467i	0.0340956	+	1.02837i
$849$	19.4636	−	0.677065i	0.667988	−	0.0232368i
$850$	−5.56696	+	5.65998i	−0.190945	+	0.194136i
$851$	9.48633	+	10.9478i	0.325187	+	0.375286i
$852$	−46.3981	−	11.0723i	−1.58957	−	0.379331i
$853$	0.948803	+	0.278594i	0.0324864	+	0.00953887i	0.297935	−	0.954586i	$-0.403702\pi$
$853$	0.948803	+	0.278594i	0.0324864	+	0.00953887i	−0.265449	+	0.964125i	$0.585520\pi$
$854$	−1.54344	+	0.859459i	−0.0528154	+	0.0294101i
$855$	−26.6422	+	35.4525i	−0.911143	+	1.21245i
$856$	−9.33178	+	9.80763i	−0.318954	+	0.335218i
$857$	7.90936	−	26.9368i	0.270179	−	0.920144i	−0.706909	−	0.707305i	$-0.749911\pi$
$857$	7.90936	−	26.9368i	0.270179	−	0.920144i	0.977087	−	0.212839i	$-0.0682710\pi$
$858$	−1.60626	+	9.29374i	−0.0548367	+	0.317283i
$859$	24.0469	−	10.9818i	0.820469	−	0.374696i	0.0394646	−	0.999221i	$-0.487435\pi$
$859$	24.0469	−	10.9818i	0.820469	−	0.374696i	0.781005	+	0.624525i	$0.214707\pi$
$860$	35.6454	+	4.52351i	1.21550	+	0.154250i
$861$	0.00885790	+	0.254638i	0.000301876	+	0.00867804i
$862$	54.7989	−	4.37595i	1.86646	−	0.149045i
$863$	−20.3820	+	44.6305i	−0.693813	+	1.51924i	0.153503	+	0.988148i	$0.450945\pi$
$863$	−20.3820	+	44.6305i	−0.693813	+	1.51924i	−0.847315	+	0.531090i	$0.821783\pi$
$864$	29.3127	−	2.18328i	0.997238	−	0.0742768i
$865$	20.7037	−	13.3054i	0.703946	−	0.452399i
$866$	7.27950	−	20.0222i	0.247368	−	0.680383i
$867$	−19.8031	+	9.88978i	−0.672550	+	0.335874i
$868$	1.78978	+	0.781787i	0.0607491	+	0.0265356i
$869$	5.67344	+	0.815718i	0.192458	+	0.0276713i
$870$	−13.6568	−	9.33391i	−0.463009	−	0.316449i
$871$	−16.4069	+	51.7524i	−0.555926	+	1.75356i
$872$	−2.32404	−	2.94884i	−0.0787019	−	0.0998602i
$873$	51.2536	+	11.2492i	1.73467	+	0.380727i
$874$	21.6908	+	15.9588i	0.733701	+	0.539814i
$875$	1.10914	+	0.325673i	0.0374958	+	0.0110098i
$876$	−8.76748	+	6.29289i	−0.296226	+	0.212617i
$877$	−3.04661	+	1.95793i	−0.102877	+	0.0661147i	−0.591068	−	0.806622i	$-0.701293\pi$
$877$	−3.04661	+	1.95793i	−0.102877	+	0.0661147i	0.488191	+	0.872737i	$0.337657\pi$
$878$	−2.06222	−	25.8247i	−0.0695965	−	0.871540i
$879$	32.1491	−	10.6671i	1.08436	−	0.359794i
$880$	4.73718	−	4.38791i	0.159690	−	0.147917i
$881$	−10.4739	−	9.07569i	−0.352875	−	0.305768i	0.460327	−	0.887749i	$-0.347732\pi$
$881$	−10.4739	−	9.07569i	−0.352875	−	0.305768i	−0.813202	+	0.581982i	$0.802278\pi$
$882$	26.9634	+	12.1048i	0.907904	+	0.407591i
$883$	−5.08625	+	2.32281i	−0.171166	+	0.0781689i	−0.499155	−	0.866513i	$-0.666356\pi$
$883$	−5.08625	+	2.32281i	−0.171166	+	0.0781689i	0.327989	+	0.944681i	$0.393629\pi$
$884$	−17.5020	+	20.8879i	−0.588655	+	0.702537i
$885$	−9.19271	−	18.4073i	−0.309009	−	0.618756i
$886$	35.6052	−	13.6172i	1.19618	−	0.457478i
$887$	−2.97072	−	1.90917i	−0.0997470	−	0.0641035i	0.489816	−	0.871826i	$-0.337064\pi$
$887$	−2.97072	−	1.90917i	−0.0997470	−	0.0641035i	−0.589563	+	0.807722i	$0.700700\pi$
$888$	19.6423	−	2.58855i	0.659154	−	0.0868660i
$889$	−2.52723	−	0.742062i	−0.0847606	−	0.0248880i
$890$	−10.4557	+	3.99875i	−0.350474	+	0.134038i
$891$	2.80834	+	4.40573i	0.0940830	+	0.147597i
$892$	8.93393	+	5.53448i	0.299130	+	0.185308i
$893$	12.9596	+	11.2296i	0.433676	+	0.375783i
$894$	−23.9748	+	2.75615i	−0.801837	+	0.0921793i
$895$	−10.6252	−	36.1863i	−0.355163	−	1.20957i
$896$	−1.89819	+	0.836320i	−0.0634142	+	0.0279395i
$897$	21.0306	−	35.3704i	0.702191	−	1.18098i
$898$	−24.1539	+	24.5576i	−0.806027	+	0.819496i
$899$	5.37347	−	11.7663i	0.179215	−	0.392427i
$900$	−5.95518	−	15.2761i	−0.198506	−	0.509202i
$901$	−15.3884			−0.512661
$902$	−0.134682	+	0.644800i	−0.00448443	+	0.0214695i
$903$	−0.0713252	−	2.05039i	−0.00237355	−	0.0682326i
$904$	10.4500	+	9.94301i	0.347563	+	0.330700i
$905$	10.9028	−	1.56758i	0.362420	−	0.0521082i
$906$	−12.5646	−	47.7585i	−0.417432	−	1.58667i
$907$	3.91261	+	1.78683i	0.129916	+	0.0593307i	0.479312	−	0.877644i	$-0.340886\pi$
$907$	3.91261	+	1.78683i	0.129916	+	0.0593307i	−0.349396	+	0.936975i	$0.613613\pi$
$908$	−24.9646	+	11.9048i	−0.828480	+	0.395074i
$909$	−26.0581	−	1.91232i	−0.864294	−	0.0634276i
$910$	−4.68117	−	0.977775i	−0.155179	−	0.0324129i
$911$	−32.6529	+	20.9848i	−1.08184	+	0.695256i	−0.954982	−	0.296664i	$-0.904126\pi$
$911$	−32.6529	+	20.9848i	−1.08184	+	0.695256i	−0.126858	+	0.991921i	$0.540489\pi$
$912$	34.5526	−	12.7505i	1.14415	−	0.422210i
$913$	−1.64089	−	3.59306i	−0.0543057	−	0.118913i
$914$	−24.8576	−	44.6399i	−0.822216	−	1.47656i
$915$	−3.53816	+	32.6249i	−0.116968	+	1.07855i
$916$	−5.16401	+	18.7297i	−0.170624	+	0.618847i
$917$	−1.58526	−	2.46670i	−0.0523497	−	0.0814578i
$918$	0.621817	+	15.0832i	0.0205230	+	0.497820i
$919$	23.7034	−	3.40803i	0.781903	−	0.112421i	0.260208	−	0.965553i	$-0.416209\pi$
$919$	23.7034	−	3.40803i	0.781903	−	0.112421i	0.521695	+	0.853132i	$0.325300\pi$
$920$	−26.1438	+	10.4985i	−0.861934	+	0.346124i
$921$	37.9760	+	22.5798i	1.25135	+	0.744031i
$922$	−16.9114	−	6.14849i	−0.556947	−	0.202490i
$923$	12.9980	+	90.4029i	0.427834	+	2.97565i
$924$	−0.290664	−	0.226825i	−0.00956215	−	0.00746199i
$925$	−4.59081	−	10.0525i	−0.150945	−	0.330523i
$926$	26.4520	+	34.7321i	0.869267	+	1.14137i
$927$	38.5144	+	28.9431i	1.26498	+	0.950618i
$928$	5.32985	+	12.6618i	0.174961	+	0.415642i
$929$	19.1633	+	2.75527i	0.628728	+	0.0903974i	0.449311	−	0.893376i	$-0.351670\pi$
$929$	19.1633	+	2.75527i	0.628728	+	0.0903974i	0.179417	+	0.983773i	$0.442579\pi$
$930$	31.0644	−	18.7418i	1.01864	−	0.614567i
$931$	36.6561	+	5.27036i	1.20136	+	0.172729i
$932$	18.4908	+	11.4549i	0.605687	+	0.375217i
$933$	36.0818	−	6.47532i	1.18127	−	0.211993i
$934$	−0.558560	+	8.83825i	−0.0182767	+	0.289196i
$935$	2.17167	+	2.50624i	0.0710213	+	0.0819629i
$936$	−24.5509	−	50.6430i	−0.802472	−	1.65532i
$937$	17.7635			0.580308			0.290154	−	0.956980i	$-0.406293\pi$
$937$	17.7635			0.580308			0.290154	+	0.956980i	$0.406293\pi$
$938$	−1.48089	−	1.52026i	−0.0483529	−	0.0496384i
$939$	21.2056	−	19.7064i	0.692017	−	0.643093i
$940$	−17.1273	+	5.33885i	−0.558631	+	0.174134i
$941$	23.3016	−	20.1910i	0.759611	−	0.658207i	−0.186351	−	0.982483i	$-0.559666\pi$
$941$	23.3016	−	20.1910i	0.759611	−	0.658207i	0.945962	+	0.324276i	$0.105121\pi$
$942$	−33.5118	−	40.9650i	−1.09187	−	1.33471i
$943$	1.55381	−	2.41778i	0.0505991	−	0.0787337i
$944$	−1.87001	+	16.9849i	−0.0608636	+	0.552810i
$945$	−2.28205	+	1.34543i	−0.0742350	+	0.0437668i
$946$	1.08448	−	5.19203i	0.0352596	−	0.168808i
$947$	5.52101	−	38.3995i	0.179409	−	1.24782i	−0.678726	−	0.734391i	$-0.737468\pi$
$947$	5.52101	−	38.3995i	0.179409	−	1.24782i	0.858135	−	0.513424i	$-0.171623\pi$
$948$	−30.3419	+	15.7864i	−0.985460	+	0.512719i
$949$	17.3833	+	11.1715i	0.564285	+	0.362644i
$950$	−12.4472	−	16.3435i	−0.403841	−	0.530253i
$951$	−23.0990	+	55.6199i	−0.749037	+	1.80360i
$952$	−0.396974	−	0.988564i	−0.0128660	−	0.0320396i
$953$	53.2426	−	7.65512i	1.72470	−	0.247974i	0.792485	−	0.609891i	$-0.208787\pi$
$953$	53.2426	−	7.65512i	1.72470	−	0.247974i	0.932210	+	0.361917i	$0.117878\pi$
$954$	13.0160	−	28.9930i	0.421409	−	0.938685i
$955$	−13.7031	−	46.6683i	−0.443421	−	1.51015i
$956$	37.7967	−	6.07523i	1.22243	−	0.196487i
$957$	−1.53395	+	1.89991i	−0.0495856	+	0.0614153i
$958$	13.8188	−	18.7822i	0.446466	−	0.606825i
$959$	−1.25125	+	0.804130i	−0.0404050	+	0.0259667i
$960$	−7.69702	+	37.7547i	−0.248420	+	1.21853i
$961$	−1.72222	−	1.98755i	−0.0555556	−	0.0641146i
$962$	−18.4552	−	33.1423i	−0.595018	−	1.06855i
$963$	13.4629	−	4.99298i	0.433837	−	0.160897i
$964$	4.64251	−	4.15943i	0.149525	−	0.133966i
$965$	5.66587	+	8.81627i	0.182391	+	0.283806i
$966$	0.830995	+	1.37737i	0.0267368	+	0.0443162i
$967$			9.77852i			0.314456i	0.987562	+	0.157228i	$0.0502558\pi$
$967$			9.77852i			0.314456i	−0.987562	+	0.157228i	$0.949744\pi$
$968$	18.6684	+	23.6873i	0.600026	+	0.761337i
$969$	5.95672	+	17.9526i	0.191357	+	0.576722i
$970$	−32.4641	+	60.6428i	−1.04236	+	1.94712i
$971$	3.27848	+	22.8023i	0.105211	+	0.731761i	0.972322	+	0.233645i	$0.0750655\pi$
$971$	3.27848	+	22.8023i	0.105211	+	0.731761i	−0.867110	+	0.498116i	$0.834025\pi$
$972$	−28.9440	−	11.5863i	−0.928380	−	0.371632i
$973$	−0.407227	+	0.469965i	−0.0130551	+	0.0150664i
$974$	−2.14590	+	10.2737i	−0.0687592	+	0.329189i
$975$	−22.9961	+	21.3704i	−0.736465	+	0.684399i
$976$	17.1550	−	21.1770i	0.549119	−	0.677860i
$977$	38.2238	+	17.4562i	1.22289	+	0.558475i	0.919009	−	0.394236i	$-0.128991\pi$
$977$	38.2238	+	17.4562i	1.22289	+	0.558475i	0.303879	+	0.952710i	$0.401718\pi$
$978$	0.863668	−	30.4650i	0.0276171	−	0.974163i
$979$	0.465553	+	1.58553i	0.0148791	+	0.0506737i
$980$	−24.8831	+	29.6969i	−0.794860	+	0.948634i
$981$	0.839282	+	3.89288i	0.0267962	+	0.124290i
$982$	−18.6727	+	25.3794i	−0.595870	+	0.809890i
$983$	8.84581	−	10.2086i	0.282138	−	0.325604i	−0.596937	−	0.802288i	$-0.703616\pi$
$983$	8.84581	−	10.2086i	0.282138	−	0.325604i	0.879075	+	0.476684i	$0.158161\pi$
$984$	−1.59068	−	3.59448i	−0.0507091	−	0.114588i
$985$	40.6810	+	46.9483i	1.29620	+	1.49590i
$986$	−6.58991	+	2.52030i	−0.209866	+	0.0802628i
$987$	0.457669	+	0.916429i	0.0145678	+	0.0291703i
$988$	−47.0564	−	52.5216i	−1.49706	−	1.67094i
$989$	−12.5115	+	19.4683i	−0.397844	+	0.619057i
$990$	−6.55886	+	1.97176i	−0.208454	+	0.0626665i
$991$	16.5238	−	56.2749i	0.524896	−	1.78763i	−0.0864380	−	0.996257i	$-0.527548\pi$
$991$	16.5238	−	56.2749i	0.524896	−	1.78763i	0.611334	−	0.791373i	$-0.290633\pi$
$992$	−30.1169	−	0.902916i	−0.956213	−	0.0286676i
$993$	15.6198	−	37.6107i	0.495678	−	1.19354i
$994$	−3.35545	−	1.21995i	−0.106429	−	0.0386944i
$995$	28.0525	−	32.3743i	0.889325	−	1.02634i
$996$	20.4568	+	11.7088i	0.648199	+	0.371009i
$997$	−8.78022	+	19.2260i	−0.278072	+	0.608894i	−0.996207	−	0.0870102i	$-0.972269\pi$
$997$	−8.78022	+	19.2260i	−0.278072	+	0.608894i	0.718135	+	0.695904i	$0.244996\pi$
$998$	−4.72312	−	59.1464i	−0.149508	−	1.87225i
$999$	−19.9201	−	6.69167i	−0.630243	−	0.211715i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.w.a.59.4	✓	1320
3.2	odd	2	inner	804.2.w.a.59.129	yes	1320
4.3	odd	2	inner	804.2.w.a.59.16	yes	1320
12.11	even	2	inner	804.2.w.a.59.117	yes	1320
67.25	even	11	inner	804.2.w.a.695.117	yes	1320
201.92	odd	22	inner	804.2.w.a.695.16	yes	1320
268.159	odd	22	inner	804.2.w.a.695.129	yes	1320
804.695	even	22	inner	804.2.w.a.695.4	yes	1320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.w.a.59.4	✓	1320	1.1	even	1	trivial
804.2.w.a.59.16	yes	1320	4.3	odd	2	inner
804.2.w.a.59.117	yes	1320	12.11	even	2	inner
804.2.w.a.59.129	yes	1320	3.2	odd	2	inner
804.2.w.a.695.4	yes	1320	804.695	even	22	inner
804.2.w.a.695.16	yes	1320	201.92	odd	22	inner
804.2.w.a.695.117	yes	1320	67.25	even	11	inner
804.2.w.a.695.129	yes	1320	268.159	odd	22	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)

\(f(q)\)	\(=\)	\(q+(-1.40973 + 0.112573i) q^{2} +(-1.72195 - 0.186745i) q^{3} +(1.97465 - 0.317394i) q^{4} +(1.50339 - 2.33932i) q^{5} +(2.44851 + 0.0694140i) q^{6} +(0.181474 + 0.0260921i) q^{7} +(-2.74799 + 0.669732i) q^{8} +(2.93025 + 0.643134i) q^{9} +O(q^{10})\)	\(q+(-1.40973 + 0.112573i) q^{2} +(-1.72195 - 0.186745i) q^{3} +(1.97465 - 0.317394i) q^{4} +(1.50339 - 2.33932i) q^{5} +(2.44851 + 0.0694140i) q^{6} +(0.181474 + 0.0260921i) q^{7} +(-2.74799 + 0.669732i) q^{8} +(2.93025 + 0.643134i) q^{9} +(-1.85603 + 3.46705i) q^{10} +(0.488364 + 0.313852i) q^{11} +(-3.45954 + 0.177781i) q^{12} +(2.75532 + 6.03330i) q^{13} +(-0.258767 - 0.0163536i) q^{14} +(-3.02563 + 3.74746i) q^{15} +(3.79852 - 1.25349i) q^{16} +(0.578765 + 1.97109i) q^{17} +(-4.20325 - 0.576775i) q^{18} +(-5.26186 + 0.756541i) q^{19} +(2.22619 - 5.09653i) q^{20} +(-0.307618 - 0.0788189i) q^{21} +(-0.723791 - 0.387469i) q^{22} +(2.34570 + 2.70708i) q^{23} +(4.85699 - 0.640074i) q^{24} +(-1.13518 - 2.48569i) q^{25} +(-4.56343 - 8.19513i) q^{26} +(-4.92566 - 1.65466i) q^{27} +(0.366631 - 0.00607613i) q^{28} -2.42852i q^{29} +(3.84345 - 5.62349i) q^{30} +(4.84503 + 2.21265i) q^{31} +(-5.21377 + 2.19469i) q^{32} +(-0.782330 - 0.631639i) q^{33} +(-1.03779 - 2.71355i) q^{34} +(0.333865 - 0.385301i) q^{35} +(5.99036 + 0.339921i) q^{36} +4.04414 q^{37} +(7.33261 - 1.65886i) q^{38} +(-3.61784 - 10.9036i) q^{39} +(-2.56459 + 7.43532i) q^{40} +(-0.226050 - 0.769854i) q^{41} +(0.442530 + 0.0764835i) q^{42} +(1.82019 + 6.19899i) q^{43} +(1.06397 + 0.464746i) q^{44} +(5.90982 - 5.88793i) q^{45} +(-3.61154 - 3.55218i) q^{46} +(-2.11242 - 2.43786i) q^{47} +(-6.77496 + 1.44909i) q^{48} +(-6.68420 - 1.96266i) q^{49} +(1.88011 + 3.37635i) q^{50} +(-0.628514 - 3.50221i) q^{51} +(7.35574 + 11.0392i) q^{52} +(-2.11040 + 7.18736i) q^{53} +(7.13010 + 1.77812i) q^{54} +(1.46841 - 0.670598i) q^{55} +(-0.516165 + 0.0498385i) q^{56} +(9.20196 - 0.320101i) q^{57} +(0.273387 + 3.42355i) q^{58} +(-1.77460 + 3.88583i) q^{59} +(-4.78515 + 8.36026i) q^{60} +(5.73180 - 3.68361i) q^{61} +(-7.07924 - 2.57381i) q^{62} +(0.514985 + 0.193169i) q^{63} +(7.10292 - 3.68084i) q^{64} +(18.2562 + 2.62484i) q^{65} +(1.17398 + 0.802369i) q^{66} +(6.06994 + 5.49143i) q^{67} +(1.76847 + 3.70853i) q^{68} +(-3.53365 - 5.09952i) q^{69} +(-0.427284 + 0.580753i) q^{70} +(13.2123 + 3.87948i) q^{71} +(-8.48304 + 0.195158i) q^{72} +(2.62085 - 1.68432i) q^{73} +(-5.70113 + 0.455262i) q^{74} +(1.49053 + 4.49223i) q^{75} +(-10.1502 + 3.16399i) q^{76} +(0.0804365 + 0.0696986i) q^{77} +(6.32762 + 14.9638i) q^{78} +(8.98129 - 4.10162i) q^{79} +(2.77835 - 10.7705i) q^{80} +(8.17276 + 3.76909i) q^{81} +(0.405333 + 1.05984i) q^{82} +(-5.72412 - 3.67867i) q^{83} +(-0.632456 - 0.0580038i) q^{84} +(5.48114 + 1.60941i) q^{85} +(-3.26380 - 8.53397i) q^{86} +(-0.453516 + 4.18181i) q^{87} +(-1.55222 - 0.535391i) q^{88} +(2.15126 + 1.86408i) q^{89} +(-7.66840 + 8.96565i) q^{90} +(0.342598 + 1.16678i) q^{91} +(5.49116 + 4.60104i) q^{92} +(-7.92971 - 4.71487i) q^{93} +(3.25237 + 3.19892i) q^{94} +(-6.14084 + 13.4466i) q^{95} +(9.38771 - 2.80550i) q^{96} +17.4912 q^{97} +(9.64383 + 2.01435i) q^{98} +(1.22918 + 1.23375i) 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

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Database

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