LMFDB - Embedded newform 280.2.bv.e.117.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(117,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))

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

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

chi := DirichletCharacter("280.117");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bv (of order $12$, degree $4$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$40$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			117.17
Character	$\chi$	$=$	280.117
Dual form			280.2.bv.e.213.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.279851 - 1.38625i) q^{2} +(2.92962 + 0.784989i) q^{3} +(-1.84337 + 0.775886i) q^{4} +(1.27091 - 1.83978i) q^{5} +(0.268333 - 4.28086i) q^{6} +(0.0664755 - 2.64492i) q^{7} +(1.59144 + 2.33823i) q^{8} +(5.36839 + 3.09944i) q^{9} +O(q^{10})$	\(q+(-0.279851 - 1.38625i) q^{2} +(2.92962 + 0.784989i) q^{3} +(-1.84337 + 0.775886i) q^{4} +(1.27091 - 1.83978i) q^{5} +(0.268333 - 4.28086i) q^{6} +(0.0664755 - 2.64492i) q^{7} +(1.59144 + 2.33823i) q^{8} +(5.36839 + 3.09944i) q^{9} +(-2.90605 - 1.24694i) q^{10} +(-2.60698 + 1.50514i) q^{11} +(-6.00943 + 0.826027i) q^{12} +(-2.87845 + 2.87845i) q^{13} +(-3.68511 + 0.648031i) q^{14} +(5.16750 - 4.39219i) q^{15} +(2.79600 - 2.86048i) q^{16} +(-3.58357 - 0.960215i) q^{17} +(2.79424 - 8.30929i) q^{18} +(4.15484 + 2.39880i) q^{19} +(-0.915302 + 4.37747i) q^{20} +(2.27098 - 7.69641i) q^{21} +(2.81606 + 3.19270i) q^{22} +(-0.146902 - 0.548247i) q^{23} +(2.82682 + 8.09939i) q^{24} +(-1.76956 - 4.67639i) q^{25} +(4.79579 + 3.18471i) q^{26} +(6.86041 + 6.86041i) q^{27} +(1.92961 + 4.92713i) q^{28} +0.378483 q^{29} +(-7.53480 - 5.93427i) q^{30} +(1.33632 - 0.771522i) q^{31} +(-4.74780 - 3.07544i) q^{32} +(-8.81897 + 2.36304i) q^{33} +(-0.328230 + 5.23644i) q^{34} +(-4.78157 - 3.48376i) q^{35} +(-12.3007 - 1.54815i) q^{36} +(1.47533 + 5.50601i) q^{37} +(2.16260 - 6.43095i) q^{38} +(-10.6923 + 6.17322i) q^{39} +(6.32440 + 0.0437973i) q^{40} +7.43569i q^{41} +(-11.3047 - 0.994290i) q^{42} +(-0.0702827 - 0.0702827i) q^{43} +(3.63780 - 4.79724i) q^{44} +(12.5250 - 5.93752i) q^{45} +(-0.718896 + 0.357071i) q^{46} +(-2.75252 - 10.2726i) q^{47} +(10.4367 - 6.18530i) q^{48} +(-6.99116 - 0.351644i) q^{49} +(-5.98743 + 3.76174i) q^{50} +(-9.74474 - 5.62613i) q^{51} +(3.07269 - 7.53939i) q^{52} +(-0.0162692 + 0.0607176i) q^{53} +(7.59034 - 11.4301i) q^{54} +(-0.544121 + 6.70916i) q^{55} +(6.29022 - 4.05379i) q^{56} +(10.2891 + 10.2891i) q^{57} +(-0.105919 - 0.524672i) q^{58} +(-2.24823 + 1.29802i) q^{59} +(-6.11775 + 12.1058i) q^{60} +(-7.53339 + 13.0482i) q^{61} +(-1.44349 - 1.63655i) q^{62} +(8.55462 - 13.9929i) q^{63} +(-2.93465 + 7.44230i) q^{64} +(1.63745 + 8.95397i) q^{65} +(5.74375 + 11.5640i) q^{66} +(7.96486 + 2.13418i) q^{67} +(7.35086 - 1.01041i) q^{68} -1.72147i q^{69} +(-3.49123 + 7.60338i) q^{70} -3.55843 q^{71} +(1.29625 + 17.4851i) q^{72} +(-2.36396 + 8.82240i) q^{73} +(7.21982 - 3.58604i) q^{74} +(-1.51322 - 15.0891i) q^{75} +(-9.52010 - 1.19819i) q^{76} +(3.80767 + 6.99529i) q^{77} +(11.5499 + 13.0946i) q^{78} +(-4.06245 - 2.34546i) q^{79} +(-1.70918 - 8.77945i) q^{80} +(5.41473 + 9.37858i) q^{81} +(10.3077 - 2.08089i) q^{82} +(4.53175 - 4.53175i) q^{83} +(1.78529 + 15.9493i) q^{84} +(-6.32099 + 5.37262i) q^{85} +(-0.0777606 + 0.117098i) q^{86} +(1.10881 + 0.297105i) q^{87} +(-7.66821 - 3.70038i) q^{88} +(6.40661 - 11.0966i) q^{89} +(-11.7360 - 15.7012i) q^{90} +(7.42192 + 7.80461i) q^{91} +(0.696172 + 0.896641i) q^{92} +(4.52053 - 1.21127i) q^{93} +(-13.4700 + 6.69046i) q^{94} +(9.69371 - 4.59532i) q^{95} +(-11.4951 - 12.7369i) q^{96} +(8.96890 - 8.96890i) q^{97} +(1.46902 + 9.78989i) q^{98} -18.6603 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$-1$	$e\left(\frac{5}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.279851	−	1.38625i	−0.197885	−	0.980225i
$2$	−0.279851	−	1.38625i	−0.197885	−	0.980225i
$3$	2.92962	+	0.784989i	1.69142	+	0.453214i	0.970755	−	0.240073i	$-0.0771714\pi$
$3$	2.92962	+	0.784989i	1.69142	+	0.453214i	0.720662	+	0.693287i	$0.243838\pi$
$4$	−1.84337	+	0.775886i	−0.921683	+	0.387943i
$5$	1.27091	−	1.83978i	0.568370	−	0.822773i
$5$	1.27091	−	1.83978i	0.568370	−	0.822773i
$6$	0.268333	−	4.28086i	0.109546	−	1.74765i
$7$	0.0664755	−	2.64492i	0.0251254	−	0.999684i
$7$	0.0664755	−	2.64492i	0.0251254	−	0.999684i
$8$	1.59144	+	2.33823i	0.562658	+	0.826690i
$9$	5.36839	+	3.09944i	1.78946	+	1.03315i
$10$	−2.90605	−	1.24694i	−0.918975	−	0.394316i
$11$	−2.60698	+	1.50514i	−0.786033	+	0.453817i	−0.838564	−	0.544803i	$-0.816605\pi$
$11$	−2.60698	+	1.50514i	−0.786033	+	0.453817i	0.0525309	+	0.998619i	$0.483271\pi$
$12$	−6.00943	+	0.826027i	−1.73477	+	0.238453i
$13$	−2.87845	+	2.87845i	−0.798339	+	0.798339i	−0.982834	−	0.184494i	$-0.940935\pi$
$13$	−2.87845	+	2.87845i	−0.798339	+	0.798339i	0.184494	+	0.982834i	$0.440935\pi$
$14$	−3.68511	+	0.648031i	−0.984888	+	0.173194i
$15$	5.16750	−	4.39219i	1.33424	−	1.13406i
$16$	2.79600	−	2.86048i	0.699001	−	0.715121i
$17$	−3.58357	−	0.960215i	−0.869144	−	0.232886i	−0.203426	−	0.979090i	$-0.565208\pi$
$17$	−3.58357	−	0.960215i	−0.869144	−	0.232886i	−0.665718	+	0.746204i	$0.731874\pi$
$18$	2.79424	−	8.30929i	0.658609	−	1.95852i
$19$	4.15484	+	2.39880i	0.953187	+	0.550323i	0.894069	−	0.447928i	$-0.147838\pi$
$19$	4.15484	+	2.39880i	0.953187	+	0.550323i	0.0591173	+	0.998251i	$0.481171\pi$
$20$	−0.915302	+	4.37747i	−0.204668	+	0.978831i
$21$	2.27098	−	7.69641i	0.495568	−	1.67950i
$22$	2.81606	+	3.19270i	0.600386	+	0.680686i
$23$	−0.146902	−	0.548247i	−0.0306313	−	0.114317i	0.948918	−	0.315524i	$-0.102180\pi$
$23$	−0.146902	−	0.548247i	−0.0306313	−	0.114317i	−0.979549	+	0.201207i	$0.935514\pi$
$24$	2.82682	+	8.09939i	0.577023	+	1.65328i
$25$	−1.76956	−	4.67639i	−0.353912	−	0.935279i
$26$	4.79579	+	3.18471i	0.940531	+	0.624573i
$27$	6.86041	+	6.86041i	1.32029	+	1.32029i
$28$	1.92961	+	4.92713i	0.364663	+	0.931140i
$29$	0.378483			0.0702826			0.0351413	−	0.999382i	$-0.488812\pi$
$29$	0.378483			0.0702826			0.0351413	+	0.999382i	$0.488812\pi$
$30$	−7.53480	−	5.93427i	−1.37566	−	1.08344i
$31$	1.33632	−	0.771522i	0.240009	−	0.138570i	−0.375172	−	0.926955i	$-0.622416\pi$
$31$	1.33632	−	0.771522i	0.240009	−	0.138570i	0.615181	+	0.788386i	$0.289083\pi$
$32$	−4.74780	−	3.07544i	−0.839301	−	0.543667i
$33$	−8.81897	+	2.36304i	−1.53519	+	0.411352i
$34$	−0.328230	+	5.23644i	−0.0562910	+	0.898042i
$35$	−4.78157	−	3.48376i	−0.808233	−	0.588863i
$36$	−12.3007	−	1.54815i	−2.05012	−	0.258025i
$37$	1.47533	+	5.50601i	0.242543	+	0.905182i	0.974603	+	0.223942i	$0.0718925\pi$
$37$	1.47533	+	5.50601i	0.242543	+	0.905182i	−0.732060	+	0.681241i	$0.761441\pi$
$38$	2.16260	−	6.43095i	0.350819	−	1.04324i
$39$	−10.6923	+	6.17322i	−1.71214	+	0.988506i
$40$	6.32440	+	0.0437973i	0.999976	+	0.00692496i
$41$			7.43569i			1.16126i	0.814167	+	0.580630i	$0.197194\pi$
$41$			7.43569i			1.16126i	−0.814167	+	0.580630i	$0.802806\pi$
$42$	−11.3047	−	0.994290i	−1.74435	−	0.153422i
$43$	−0.0702827	−	0.0702827i	−0.0107180	−	0.0107180i	0.701727	−	0.712445i	$-0.252412\pi$
$43$	−0.0702827	−	0.0702827i	−0.0107180	−	0.0107180i	−0.712445	+	0.701727i	$0.752412\pi$
$44$	3.63780	−	4.79724i	0.548419	−	0.723211i
$45$	12.5250	−	5.93752i	1.86712	−	0.885113i
$46$	−0.718896	+	0.357071i	−0.105995	+	0.0526472i
$47$	−2.75252	−	10.2726i	−0.401497	−	1.49841i	−0.810427	−	0.585840i	$-0.800765\pi$
$47$	−2.75252	−	10.2726i	−0.401497	−	1.49841i	0.408930	−	0.912566i	$-0.365902\pi$
$48$	10.4367	−	6.18530i	1.50640	−	0.892771i
$49$	−6.99116	−	0.351644i	−0.998737	−	0.0502349i
$50$	−5.98743	+	3.76174i	−0.846750	+	0.531991i
$51$	−9.74474	−	5.62613i	−1.36454	−	0.787816i
$52$	3.07269	−	7.53939i	0.426106	−	1.04553i
$53$	−0.0162692	+	0.0607176i	−0.00223475	+	0.00834021i	−0.967034	−	0.254647i	$-0.918041\pi$
$53$	−0.0162692	+	0.0607176i	−0.00223475	+	0.00834021i	0.964799	+	0.262987i	$0.0847075\pi$
$54$	7.59034	−	11.4301i	1.03291	−	1.55544i
$55$	−0.544121	+	6.70916i	−0.0733693	+	0.904663i
$56$	6.29022	−	4.05379i	0.840566	−	0.541710i
$57$	10.2891	+	10.2891i	1.36282	+	1.36282i
$58$	−0.105919	−	0.524672i	−0.0139078	−	0.0688927i
$59$	−2.24823	+	1.29802i	−0.292695	+	0.168987i	−0.639156	−	0.769077i	$-0.720716\pi$
$59$	−2.24823	+	1.29802i	−0.292695	+	0.168987i	0.346462	+	0.938064i	$0.387383\pi$
$60$	−6.11775	+	12.1058i	−0.789798	+	1.56285i
$61$	−7.53339	+	13.0482i	−0.964552	+	1.67065i	−0.253738	+	0.967273i	$0.581660\pi$
$61$	−7.53339	+	13.0482i	−0.964552	+	1.67065i	−0.710814	+	0.703380i	$0.751673\pi$
$62$	−1.44349	−	1.63655i	−0.183323	−	0.207843i
$63$	8.55462	−	13.9929i	1.07778	−	1.76294i
$64$	−2.93465	+	7.44230i	−0.366831	+	0.930287i
$65$	1.63745	+	8.95397i	0.203100	+	1.11060i
$66$	5.74375	+	11.5640i	0.707007	+	1.42343i
$67$	7.96486	+	2.13418i	0.973062	+	0.260731i	0.710120	−	0.704080i	$-0.248641\pi$
$67$	7.96486	+	2.13418i	0.973062	+	0.260731i	0.262942	+	0.964812i	$0.415307\pi$
$68$	7.35086	−	1.01041i	0.891422	−	0.122531i
$69$		−	1.72147i		−	0.207241i
$70$	−3.49123	+	7.60338i	−0.417281	+	0.908777i
$71$	−3.55843			−0.422308			−0.211154	−	0.977453i	$-0.567722\pi$
$71$	−3.55843			−0.422308			−0.211154	+	0.977453i	$0.567722\pi$
$72$	1.29625	+	17.4851i	0.152764	+	2.06064i
$73$	−2.36396	+	8.82240i	−0.276680	+	1.03258i	0.678027	+	0.735037i	$0.262835\pi$
$73$	−2.36396	+	8.82240i	−0.276680	+	1.03258i	−0.954707	+	0.297547i	$0.903832\pi$
$74$	7.21982	−	3.58604i	0.839287	−	0.416868i
$75$	−1.51322	−	15.0891i	−0.174731	−	1.74234i
$76$	−9.52010	−	1.19819i	−1.09203	−	0.137441i
$77$	3.80767	+	6.99529i	0.433924	+	0.797187i
$78$	11.5499	+	13.0946i	1.30776	+	1.48268i
$79$	−4.06245	−	2.34546i	−0.457062	−	0.263885i	0.253746	−	0.967271i	$-0.418337\pi$
$79$	−4.06245	−	2.34546i	−0.457062	−	0.263885i	−0.710808	+	0.703386i	$0.751671\pi$
$80$	−1.70918	−	8.77945i	−0.191092	−	0.981572i
$81$	5.41473	+	9.37858i	0.601636	+	1.04206i
$82$	10.3077	−	2.08089i	1.13830	−	0.229795i
$83$	4.53175	−	4.53175i	0.497424	−	0.497424i	−0.413211	−	0.910635i	$-0.635593\pi$
$83$	4.53175	−	4.53175i	0.497424	−	0.497424i	0.910635	+	0.413211i	$0.135593\pi$
$84$	1.78529	+	15.9493i	0.194791	+	1.74022i
$85$	−6.32099	+	5.37262i	−0.685608	+	0.582743i
$86$	−0.0777606	+	0.117098i	−0.00838514	+	0.0126270i
$87$	1.10881	+	0.297105i	0.118877	+	0.0318530i
$88$	−7.66821	−	3.70038i	−0.817434	−	0.394462i
$89$	6.40661	−	11.0966i	0.679099	−	1.17623i	−0.296153	−	0.955140i	$-0.595704\pi$
$89$	6.40661	−	11.0966i	0.679099	−	1.17623i	0.975253	−	0.221094i	$-0.0709627\pi$
$90$	−11.7360	−	15.7012i	−1.23708	−	1.65505i
$91$	7.42192	+	7.80461i	0.778028	+	0.818146i
$92$	0.696172	+	0.896641i	0.0725809	+	0.0934813i
$93$	4.52053	−	1.21127i	0.468758	−	0.125603i
$94$	−13.4700	+	6.69046i	−1.38933	+	0.690068i
$95$	9.69371	−	4.59532i	0.994553	−	0.471470i
$96$	−11.4951	−	12.7369i	−1.17321	−	1.29995i
$97$	8.96890	−	8.96890i	0.910654	−	0.910654i	−0.0856695	−	0.996324i	$-0.527303\pi$
$97$	8.96890	−	8.96890i	0.910654	−	0.910654i	0.996324	+	0.0856695i	$0.0273029\pi$
$98$	1.46902	+	9.78989i	0.148393	+	0.988928i
$99$	−18.6603			−1.87544
$100$	6.89030	+	7.24733i	0.689030	+	0.724733i
$101$	−0.0895168	−	0.155048i	−0.00890726	−	0.0154278i	0.861537	−	0.507694i	$-0.169502\pi$
$101$	−0.0895168	−	0.155048i	−0.00890726	−	0.0154278i	−0.870445	+	0.492266i	$0.836169\pi$
$102$	−5.07214	+	15.0831i	−0.502216	+	1.49345i
$103$	−4.21109	+	1.12836i	−0.414931	+	0.111180i	−0.460244	−	0.887792i	$-0.652238\pi$
$103$	−4.21109	+	1.12836i	−0.414931	+	0.111180i	0.0453131	+	0.998973i	$0.485571\pi$
$104$	−11.3114	−	2.14961i	−1.10917	−	0.210786i
$105$	−11.2735	−	13.9596i	−1.10018	−	1.36231i
$106$	0.0887227	+	0.00556131i	0.00861751	+	0.000540162i
$107$	−4.33648	−	16.1840i	−0.419223	−	1.56456i	−0.776223	−	0.630458i	$-0.782867\pi$
$107$	−4.33648	−	16.1840i	−0.419223	−	1.56456i	0.357000	−	0.934104i	$-0.383800\pi$
$108$	−17.9691	−	7.32336i	−1.72908	−	0.704691i
$109$	1.96290	+	3.39984i	0.188011	+	0.325645i	0.944587	−	0.328261i	$-0.106462\pi$
$109$	1.96290	+	3.39984i	0.188011	+	0.325645i	−0.756576	+	0.653906i	$0.773129\pi$
$110$	9.45283	−	1.12328i	0.901292	−	0.107100i
$111$			17.2886i			1.64096i
$112$	−7.37987	−	7.58534i	−0.697333	−	0.716748i
$113$	6.17387	−	6.17387i	0.580789	−	0.580789i	−0.354331	−	0.935120i	$-0.615291\pi$
$113$	6.17387	−	6.17387i	0.580789	−	0.580789i	0.935120	+	0.354331i	$0.115291\pi$
$114$	11.3838	−	17.1426i	1.06619	−	1.60555i
$115$	−1.19535	−	0.426507i	−0.111467	−	0.0397720i
$116$	−0.697683	+	0.293660i	−0.0647783	+	0.0272656i
$117$	−24.3742	+	6.53106i	−2.25340	+	0.603796i
$118$	2.42854	+	2.75335i	0.223565	+	0.253467i
$119$	−2.77791	+	9.41442i	−0.254650	+	0.863018i
$120$	18.4937	+	5.09290i	1.68824	+	0.464916i
$121$	−0.969113	+	1.67855i	−0.0881011	+	0.152596i
$122$	20.1963	+	6.79159i	1.82849	+	0.614882i
$123$	−5.83694	+	21.7838i	−0.526299	+	1.96418i
$124$	−1.86471	+	2.45903i	−0.167456	+	0.220827i
$125$	−10.8525	−	2.68769i	−0.970675	−	0.240395i
$126$	−21.7916	−	7.94290i	−1.94135	−	0.707610i
$127$	0.817505	+	0.817505i	0.0725418	+	0.0725418i	0.742447	−	0.669905i	$-0.233665\pi$
$127$	0.817505	+	0.817505i	0.0725418	+	0.0725418i	−0.669905	+	0.742447i	$0.733665\pi$
$128$	11.1381	+	1.98542i	0.984482	+	0.175488i
$129$	−0.150731	−	0.261073i	−0.0132711	−	0.0229862i
$130$	11.9542	−	4.77569i	1.04845	−	0.418855i
$131$	4.53663	−	7.85768i	0.396367	−	0.686529i	−0.596907	−	0.802310i	$-0.703604\pi$
$131$	4.53663	−	7.85768i	0.396367	−	0.686529i	0.993275	+	0.115782i	$0.0369373\pi$
$132$	14.4232	−	11.1985i	1.25537	−	0.974700i
$133$	6.62082	−	10.8298i	0.574098	−	0.939059i
$134$	0.729526	−	11.6385i	0.0630214	−	1.00542i
$135$	21.3406	−	3.90264i	1.83671	−	0.335886i
$136$	−3.45783	−	9.90734i	−0.296506	−	0.849548i
$137$	−3.04284	+	11.3560i	−0.259968	+	0.970212i	0.705292	+	0.708917i	$0.250816\pi$
$137$	−3.04284	+	11.3560i	−0.259968	+	0.970212i	−0.965259	+	0.261295i	$0.915851\pi$
$138$	−2.38639	+	0.481756i	−0.203143	+	0.0410098i
$139$		−	18.6303i		−	1.58020i	−0.612977	−	0.790100i	$-0.710028\pi$
$139$		−	18.6303i		−	1.58020i	0.612977	−	0.790100i	$-0.289972\pi$
$140$	11.5172	+	2.71189i	0.973380	+	0.229197i
$141$		−	32.2554i		−	2.71639i
$142$	0.995831	+	4.93287i	0.0835682	+	0.413957i
$143$	3.17159	−	11.8365i	0.265222	−	0.989820i
$144$	23.8759	−	6.69014i	1.98966	−	0.557512i
$145$	0.481019	−	0.696325i	0.0399465	−	0.0578266i
$146$	12.8916	+	0.808070i	1.06692	+	0.0668764i
$147$	−20.2054	−	6.51817i	−1.66651	−	0.537610i
$148$	−6.99161	−	9.00491i	−0.574707	−	0.740199i
$149$	−9.54619	+	16.5345i	−0.782054	+	1.35456i	0.148689	+	0.988884i	$0.452495\pi$
$149$	−9.54619	+	16.5345i	−0.782054	+	1.35456i	−0.930743	+	0.365674i	$0.880839\pi$
$150$	−20.4938	+	6.32041i	−1.67331	+	0.516059i
$151$	−5.69952	−	9.87185i	−0.463820	−	0.803360i	0.535327	−	0.844645i	$-0.320188\pi$
$151$	−5.69952	−	9.87185i	−0.463820	−	0.803360i	−0.999147	+	0.0412846i	$0.986855\pi$
$152$	1.00323	+	13.5325i	0.0813725	+	1.09763i
$153$	−16.2619	−	16.2619i	−1.31469	−	1.31469i
$154$	8.63163	−	7.23601i	0.695556	−	0.583094i
$155$	0.278912	−	3.43906i	0.0224028	−	0.276232i
$156$	14.9202	−	19.6755i	1.19457	−	1.57530i
$157$	1.95459	−	7.29463i	0.155993	−	0.582175i	−0.843025	−	0.537874i	$-0.819227\pi$
$157$	1.95459	−	7.29463i	0.155993	−	0.582175i	0.999018	−	0.0443003i	$-0.0141059\pi$
$158$	−2.11451	+	6.28795i	−0.168221	+	0.500242i
$159$	−0.0953254	+	0.165108i	−0.00755979	+	0.0130939i
$160$	−11.6922	+	4.82628i	−0.924348	+	0.381551i
$161$	−1.45983	+	0.352099i	−0.115051	+	0.0277493i
$162$	11.4857	−	10.1308i	0.902404	−	0.795948i
$163$	9.80706	−	2.62779i	0.768148	−	0.205825i	0.146595	−	0.989197i	$-0.453169\pi$
$163$	9.80706	−	2.62779i	0.768148	−	0.205825i	0.621553	+	0.783372i	$0.286502\pi$
$164$	−5.76925	−	13.7067i	−0.450503	−	1.07031i
$165$	−6.86068	+	19.2282i	−0.534104	+	1.49691i
$166$	−7.55034	−	5.01391i	−0.586020	−	0.389155i
$167$	4.60134	−	4.60134i	0.356063	−	0.356063i	−0.506297	−	0.862359i	$-0.668986\pi$
$167$	4.60134	−	4.60134i	0.356063	−	0.356063i	0.862359	+	0.506297i	$0.168986\pi$
$168$	21.6101	−	6.93830i	1.66726	−	0.535301i
$169$		−	3.57098i		−	0.274690i
$170$	9.21673	+	7.25893i	0.706891	+	0.556734i
$171$	14.8699	+	25.7554i	1.13713	+	1.96956i
$172$	0.184088	+	0.0750255i	0.0140366	+	0.00572064i
$173$	−5.63515	−	21.0307i	−0.428433	−	1.59893i	−0.756311	−	0.654213i	$-0.773000\pi$
$173$	−5.63515	−	21.0307i	−0.428433	−	1.59893i	0.327878	−	0.944720i	$-0.393667\pi$
$174$	0.101559	−	1.62023i	0.00769920	−	0.122830i
$175$	−12.4863	+	4.36947i	−0.943876	+	0.330301i
$176$	−2.98369	+	11.6656i	−0.224904	+	0.879327i
$177$	−7.60538	+	2.03786i	−0.571656	+	0.153175i
$178$	−17.1755	−	5.77576i	−1.28736	−	0.432912i
$179$	4.57978	+	7.93241i	0.342309	+	0.592896i	0.984861	−	0.173346i	$-0.0554578\pi$
$179$	4.57978	+	7.93241i	0.342309	+	0.592896i	−0.642552	+	0.766242i	$0.722124\pi$
$180$	−18.4814	+	20.6630i	−1.37752	+	1.54013i
$181$	7.90797			0.587795			0.293897	−	0.955837i	$-0.405048\pi$
$181$	7.90797			0.587795			0.293897	+	0.955837i	$0.405048\pi$
$182$	8.74210	−	12.4727i	0.648007	−	0.924542i
$183$	−32.3127	+	32.3127i	−2.38862	+	2.38862i
$184$	1.04814	−	1.21599i	0.0772701	−	0.0896442i
$185$	12.0048	+	4.28338i	0.882614	+	0.314920i
$186$	−2.94420	−	5.92760i	−0.215879	−	0.434633i
$187$	10.7875	−	2.89052i	0.788864	−	0.211375i
$188$	13.0442	+	16.8004i	0.951348	+	1.22530i
$189$	18.6013	−	17.6892i	1.35304	−	1.28670i
$190$	−9.08305	−	12.1519i	−0.658954	−	0.881590i
$191$	8.45978	−	14.6528i	0.612128	−	1.06024i	−0.378753	−	0.925498i	$-0.623647\pi$
$191$	8.45978	−	14.6528i	0.612128	−	1.06024i	0.990881	−	0.134740i	$-0.0430198\pi$
$192$	−14.4395	+	19.4994i	−1.04208	+	1.40725i
$193$	−10.8403	−	2.90464i	−0.780300	−	0.209081i	−0.153383	−	0.988167i	$-0.549017\pi$
$193$	−10.8403	−	2.90464i	−0.780300	−	0.209081i	−0.626917	+	0.779086i	$0.715684\pi$
$194$	−14.9431	−	9.92317i	−1.07285	−	0.712442i
$195$	−2.23167	+	27.5171i	−0.159813	+	1.97054i
$196$	13.1601	−	4.77613i	0.940008	−	0.341152i
$197$	−3.80392	+	3.80392i	−0.271018	+	0.271018i	−0.829510	−	0.558492i	$-0.811380\pi$
$197$	−3.80392	+	3.80392i	−0.271018	+	0.271018i	0.558492	+	0.829510i	$0.311380\pi$
$198$	5.22212	+	25.8679i	0.371120	+	1.83835i
$199$	3.27886	+	5.67915i	0.232432	+	0.402584i	0.958523	−	0.285014i	$-0.0919983\pi$
$199$	3.27886	+	5.67915i	0.232432	+	0.402584i	−0.726091	+	0.687598i	$0.758665\pi$
$200$	8.11834	−	11.5798i	0.574054	−	0.818818i
$201$	21.6587	+	12.5047i	1.52769	+	0.882010i
$202$	−0.189883	+	0.167483i	−0.0133601	+	0.0117840i
$203$	0.0251598	−	1.00106i	0.00176587	−	0.0702604i
$204$	22.3284	+	2.81022i	1.56330	+	0.196754i
$205$	13.6800	+	9.45012i	0.955454	+	0.660025i
$206$	2.74266	+	5.52184i	0.191090	+	0.384725i
$207$	0.910630	−	3.39852i	0.0632931	−	0.236213i
$208$	0.185606	+	16.2819i	0.0128695	+	1.12895i
$209$	−14.4421			−0.998982
$210$	−16.1965	+	19.5344i	−1.11767	+	1.34800i
$211$			24.9292i			1.71620i	0.513486	+	0.858098i	$0.328354\pi$
$211$			24.9292i			1.71620i	−0.513486	+	0.858098i	$0.671646\pi$
$212$	−0.0171198	−	0.124548i	−0.00117579	−	0.00855399i
$213$	−10.4249	−	2.79333i	−0.714299	−	0.191396i
$214$	−21.2214	+	10.5405i	−1.45067	+	0.720536i
$215$	−0.218628	+	0.0399813i	−0.0149103	+	0.00272670i
$216$	−5.12331	+	26.9591i	−0.348597	+	1.83434i
$217$	−1.95178	−	3.58573i	−0.132495	−	0.243415i
$218$	4.16370	−	3.67251i	0.282001	−	0.248734i
$219$	−13.8510	+	23.9906i	−0.935962	+	1.62113i
$220$	−4.20253	−	12.7896i	−0.283334	−	0.862276i
$221$	13.0791	−	7.55121i	0.879794	−	0.507949i
$222$	23.9663	−	4.83824i	1.60851	−	0.324721i
$223$	3.51894	+	3.51894i	0.235646	+	0.235646i	0.815044	−	0.579399i	$-0.196713\pi$
$223$	3.51894	+	3.51894i	0.235646	+	0.235646i	−0.579399	+	0.815044i	$0.696713\pi$
$224$	−8.44990	+	12.3531i	−0.564583	+	0.825376i
$225$	4.99452	−	30.5893i	0.332968	−	2.03929i
$226$	−10.2863	−	6.83075i	−0.684233	−	0.454375i
$227$	2.59726	−	9.69312i	0.172386	−	0.643355i	−0.824596	−	0.565723i	$-0.808597\pi$
$227$	2.59726	−	9.69312i	0.172386	−	0.643355i	0.996982	−	0.0776323i	$-0.0247360\pi$
$228$	−26.9497	−	10.9834i	−1.78479	−	0.727393i
$229$	10.6851	+	6.16902i	0.706088	+	0.407660i	0.809611	−	0.586967i	$-0.199678\pi$
$229$	10.6851	+	6.16902i	0.706088	+	0.407660i	−0.103523	+	0.994627i	$0.533011\pi$
$230$	−0.256724	+	1.77641i	−0.0169278	+	0.117133i
$231$	5.66379	+	23.4825i	0.372650	+	1.54504i
$232$	0.602333	+	0.884981i	0.0395451	+	0.0581019i
$233$	−1.91966	−	7.16428i	−0.125761	−	0.469348i	0.874104	−	0.485738i	$-0.161449\pi$
$233$	−1.91966	−	7.16428i	−0.125761	−	0.469348i	−0.999866	+	0.0163904i	$0.994783\pi$
$234$	15.8748	+	31.9610i	1.03777	+	2.08936i
$235$	−22.3974	−	7.99149i	−1.46105	−	0.521307i
$236$	3.13720	−	4.13709i	0.204214	−	0.269301i
$237$	−10.0603	−	10.0603i	−0.653486	−	0.653486i
$238$	13.8281	+	1.21624i	0.896344	+	0.0788369i
$239$			2.06262i			0.133420i	0.997772	+	0.0667099i	$0.0212502\pi$
$239$			2.06262i			0.133420i	−0.997772	+	0.0667099i	$0.978750\pi$
$240$	1.88453	−	27.0621i	0.121646	−	1.74685i
$241$	11.2416	−	6.49036i	0.724138	−	0.418081i	−0.0921360	−	0.995746i	$-0.529369\pi$
$241$	11.2416	−	6.49036i	0.724138	−	0.418081i	0.816274	+	0.577665i	$0.196036\pi$
$242$	2.59810	+	0.873686i	0.167012	+	0.0561627i
$243$	0.967750	+	3.61169i	0.0620812	+	0.231690i
$244$	3.76288	−	29.8977i	0.240894	−	1.91400i
$245$	−9.53211	+	12.4153i	−0.608984	+	0.793183i
$246$	31.8312	+	1.99524i	2.02948	+	0.127212i
$247$	−18.8644	+	5.05469i	−1.20031	+	0.321622i
$248$	3.93066	+	1.89679i	0.249597	+	0.120446i
$249$	16.8337	−	9.71892i	1.06679	−	0.615912i
$250$	−0.688734	+	15.7964i	−0.0435593	+	0.999051i
$251$	−15.8322			−0.999320			−0.499660	−	0.866222i	$-0.666542\pi$
$251$	−15.8322			−0.999320			−0.499660	+	0.866222i	$0.666542\pi$
$252$	−4.91242	+	32.4314i	−0.309453	+	2.04299i
$253$	1.20816	+	1.20816i	0.0759563	+	0.0759563i
$254$	0.904485	−	1.36204i	0.0567524	−	0.0854622i
$255$	−22.7356	+	10.7778i	−1.42376	+	0.674934i
$256$	−0.364738	−	15.9958i	−0.0227961	−	0.999740i
$257$	−5.15110	−	19.2242i	−0.321317	−	1.19917i	−0.917963	−	0.396667i	$-0.870167\pi$
$257$	−5.15110	−	19.2242i	−0.321317	−	1.19917i	0.596646	−	0.802505i	$-0.296500\pi$
$258$	−0.319730	+	0.282011i	−0.0199055	+	0.0175573i
$259$	14.6610	−	3.53611i	0.910990	−	0.219723i
$260$	−9.96568	−	15.2350i	−0.618045	−	0.944834i
$261$	2.03184	+	1.17309i	0.125768	+	0.0726122i
$262$	−12.1623	−	4.08992i	−0.751388	−	0.252676i
$263$	14.8052	+	3.96704i	0.912927	+	0.244618i	0.684560	−	0.728957i	$-0.259994\pi$
$263$	14.8052	+	3.96704i	0.912927	+	0.244618i	0.228368	+	0.973575i	$0.426661\pi$
$264$	−19.5602	−	16.8602i	−1.20385	−	1.03767i
$265$	0.0910301	+	0.107099i	0.00559194	+	0.00657902i
$266$	−16.8656	−	6.14738i	−1.03409	−	0.376920i
$267$	27.4796	−	27.4796i	1.68173	−	1.68173i
$268$	−16.3380	+	2.24575i	−0.998004	+	0.137181i
$269$	12.1063	−	6.98960i	0.738137	−	0.426163i	−0.0832547	−	0.996528i	$-0.526532\pi$
$269$	12.1063	−	6.98960i	0.738137	−	0.426163i	0.821391	+	0.570365i	$0.193198\pi$
$270$	−11.3822	−	28.4912i	−0.692700	−	1.73392i
$271$	16.1503	+	9.32439i	0.981062	+	0.566416i	0.902591	−	0.430500i	$-0.141663\pi$
$271$	16.1503	+	9.32439i	0.981062	+	0.566416i	0.0784712	+	0.996916i	$0.474996\pi$
$272$	−12.7664	+	7.56599i	−0.774074	+	0.458755i
$273$	15.6169	+	28.6907i	0.945175	+	1.73644i
$274$	16.5938	+	1.04013i	1.00247	+	0.0628368i
$275$	11.6518	+	9.52782i	0.702632	+	0.574549i
$276$	1.33567	+	3.17330i	0.0803976	+	0.191010i
$277$	−3.55840	−	0.953470i	−0.213804	−	0.0572885i	0.150327	−	0.988636i	$-0.451967\pi$
$277$	−3.55840	−	0.953470i	−0.213804	−	0.0572885i	−0.364131	+	0.931348i	$0.618634\pi$
$278$	−25.8262	+	5.21371i	−1.54895	+	0.312697i
$279$	9.56515			0.572650
$280$	0.536258	−	16.7246i	0.0320475	−	0.999486i
$281$	−21.4389			−1.27894			−0.639468	−	0.768818i	$-0.720845\pi$
$281$	−21.4389			−1.27894			−0.639468	+	0.768818i	$0.720845\pi$
$282$	−44.7139	+	9.02669i	−2.66268	+	0.537532i
$283$	12.8391	+	3.44023i	0.763205	+	0.204500i	0.619368	−	0.785101i	$-0.287389\pi$
$283$	12.8391	+	3.44023i	0.763205	+	0.204500i	0.143838	+	0.989601i	$0.454056\pi$
$284$	6.55950	−	2.76094i	0.389234	−	0.163831i
$285$	32.0061	−	5.85309i	1.89588	−	0.346707i
$286$	−17.2959	−	1.08414i	−1.02273	−	0.0641068i
$287$	19.6668	+	0.494291i	1.16089	+	0.0291771i
$288$	−15.9559	−	31.2257i	−0.940210	−	1.83999i
$289$	−2.80245	−	1.61800i	−0.164850	−	0.0951764i
$290$	−1.09989	−	0.471945i	−0.0645879	−	0.0277136i
$291$	33.3160	−	19.2350i	1.95302	−	1.12757i
$292$	−2.48754	−	18.0971i	−0.145572	−	1.05905i
$293$	−7.48672	+	7.48672i	−0.437379	+	0.437379i	−0.891129	−	0.453750i	$-0.850086\pi$
$293$	−7.48672	+	7.48672i	−0.437379	+	0.437379i	0.453750	+	0.891129i	$0.350086\pi$
$294$	−3.38130	+	29.8338i	−0.197201	+	1.73994i
$295$	−0.469244	+	5.78591i	−0.0273205	+	0.336868i
$296$	−10.5264	+	12.2121i	−0.611836	+	0.709816i
$297$	−28.2108	−	7.55906i	−1.63696	−	0.438621i
$298$	25.5924	+	8.60619i	1.48253	+	0.498543i
$299$	2.00095	+	1.15525i	0.115718	+	0.0668099i
$300$	14.4969	+	26.6407i	0.836977	+	1.53810i
$301$	−0.190564	+	0.181220i	−0.0109839	+	0.0104453i
$302$	−12.0898	+	10.6636i	−0.695691	+	0.613621i
$303$	−0.140540	−	0.524501i	−0.00807378	−	0.0301318i
$304$	18.4787	−	5.17781i	1.05983	−	0.296968i
$305$	14.4315	+	30.4429i	0.826347	+	1.74316i
$306$	−17.9921	+	27.0939i	−1.02854	+	1.54885i
$307$	3.52706	+	3.52706i	0.201300	+	0.201300i	0.800557	−	0.599257i	$-0.204537\pi$
$307$	3.52706	+	3.52706i	0.201300	+	0.201300i	−0.599257	+	0.800557i	$0.704537\pi$
$308$	−12.4465	−	9.94057i	−0.709204	−	0.566417i
$309$	−13.2226			−0.752210
$310$	−4.84545	+	0.575783i	−0.275203	+	0.0327023i
$311$	6.80733	−	3.93021i	0.386008	−	0.222862i	−0.294421	−	0.955676i	$-0.595127\pi$
$311$	6.80733	−	3.93021i	0.386008	−	0.222862i	0.680429	+	0.732814i	$0.261793\pi$
$312$	−31.4506	−	15.1768i	−1.78054	−	0.859219i
$313$	26.2650	−	7.03767i	1.48458	−	0.397793i	0.576679	−	0.816971i	$-0.304348\pi$
$313$	26.2650	−	7.03767i	1.48458	−	0.397793i	0.907904	+	0.419178i	$0.137682\pi$
$314$	−10.6592	−	0.668137i	−0.601531	−	0.0377052i
$315$	−14.8716	−	33.5223i	−0.837921	−	1.88877i
$316$	9.30840	+	1.17154i	0.523638	+	0.0659043i
$317$	−1.21094	−	4.51931i	−0.0680134	−	0.253830i	0.923545	−	0.383490i	$-0.125278\pi$
$317$	−1.21094	−	4.51931i	−0.0680134	−	0.253830i	−0.991558	+	0.129660i	$0.958611\pi$
$318$	0.255558	+	0.0859389i	0.0143310	+	0.00481921i
$319$	−0.986697	+	0.569670i	−0.0552444	+	0.0318954i
$320$	9.96249	+	14.8576i	0.556920	+	0.830566i
$321$		−	50.8169i		−	2.83632i
$322$	0.896633	+	1.92515i	0.0499674	+	0.107285i
$323$	−12.5858	−	12.5858i	−0.700294	−	0.700294i
$324$	−17.2580	−	13.0870i	−0.958780	−	0.727053i
$325$	18.5544	+	8.36718i	1.02921	+	0.464128i
$326$	−6.38729	−	12.8596i	−0.353759	−	0.712229i
$327$	3.08171	+	11.5011i	0.170419	+	0.636011i
$328$	−17.3864	+	11.8334i	−0.960002	+	0.653393i
$329$	−27.3530	+	6.59732i	−1.50802	+	0.363722i
$330$	28.5750	+	4.12959i	1.57300	+	0.227327i
$331$	−23.9161	−	13.8080i	−1.31455	−	0.758954i	−0.331701	−	0.943385i	$-0.607622\pi$
$331$	−23.9161	−	13.8080i	−1.31455	−	0.758954i	−0.982845	+	0.184431i	$0.940956\pi$
$332$	−4.83755	+	11.8698i	−0.265495	+	0.651439i
$333$	−9.14539	+	34.1311i	−0.501165	+	1.87037i
$334$	−7.66629	−	5.09091i	−0.419481	−	0.278562i
$335$	14.0491	−	11.9412i	0.767582	−	0.652418i
$336$	−15.6658	−	28.0153i	−0.854640	−	1.52836i
$337$	19.1335	+	19.1335i	1.04227	+	1.04227i	0.999066	+	0.0432025i	$0.0137561\pi$
$337$	19.1335	+	19.1335i	1.04227	+	1.04227i	0.0432025	+	0.999066i	$0.486244\pi$
$338$	−4.95026	+	0.999341i	−0.269259	+	0.0543570i
$339$	22.9335	−	13.2407i	1.24558	−	0.719135i
$340$	7.48336	−	14.8081i	0.405842	−	0.803081i
$341$	−2.32250	+	4.02268i	−0.125770	+	0.217840i
$342$	31.5420	−	27.8210i	1.70560	−	1.50439i
$343$	−1.39481	+	18.4677i	−0.0753126	+	0.997160i
$344$	0.0524867	−	0.276188i	0.00282989	−	0.0148911i
$345$	−3.16712	−	2.18784i	−0.170512	−	0.117789i
$346$	−27.5767	+	13.6972i	−1.48253	+	0.736365i
$347$	15.0536	+	4.03359i	0.808118	+	0.216535i	0.639145	−	0.769086i	$-0.279288\pi$
$347$	15.0536	+	4.03359i	0.808118	+	0.216535i	0.168973	+	0.985621i	$0.445955\pi$
$348$	−2.27447	+	0.312637i	−0.121924	+	0.0167591i
$349$			13.3576i			0.715017i	0.933910	+	0.357508i	$0.116374\pi$
$349$			13.3576i			0.715017i	−0.933910	+	0.357508i	$0.883626\pi$
$350$	9.55148	+	16.0863i	0.510548	+	0.859849i
$351$	−39.4947			−2.10807
$352$	17.0064	+	0.871507i	0.906444	+	0.0464515i
$353$	2.85271	−	10.6465i	0.151835	−	0.566654i	−0.847521	−	0.530762i	$-0.821906\pi$
$353$	2.85271	−	10.6465i	0.151835	−	0.566654i	0.999356	−	0.0358925i	$-0.0114274\pi$
$354$	4.95335	+	9.97265i	0.263268	+	0.530040i
$355$	−4.52246	+	6.54672i	−0.240027	+	0.347464i
$356$	−3.20006	+	25.4259i	−0.169603	+	1.34757i
$357$	−15.5284	+	25.4000i	−0.821852	+	1.34431i
$358$	9.71463	−	8.56860i	0.513434	−	0.452865i
$359$	−6.93145	−	4.00188i	−0.365828	−	0.211211i	0.305806	−	0.952094i	$-0.401074\pi$
$359$	−6.93145	−	4.00188i	−0.365828	−	0.211211i	−0.671634	+	0.740883i	$0.734407\pi$
$360$	33.8161	+	19.8372i	1.78226	+	1.04551i
$361$	2.00849	+	3.47881i	0.105710	+	0.183095i
$362$	−2.21305	−	10.9624i	−0.116315	−	0.576171i
$363$	−4.15678	+	4.15678i	−0.218174	+	0.218174i
$364$	−19.7368	−	8.62820i	−1.03449	−	0.452241i
$365$	13.2269	+	15.5617i	0.692326	+	0.814534i
$366$	53.8361	+	35.7506i	2.81406	+	1.86872i
$367$	26.0166	+	6.97112i	1.35805	+	0.363889i	0.863101	−	0.505031i	$-0.168519\pi$
$367$	26.0166	+	6.97112i	1.35805	+	0.363889i	0.494952	+	0.868920i	$0.335186\pi$
$368$	−1.97899	−	1.11269i	−0.103162	−	0.0580029i
$369$	−23.0465	+	39.9177i	−1.19975	+	2.07803i
$370$	2.57826	−	17.8404i	0.134037	−	0.927478i
$371$	0.159512	+	0.0470670i	0.00828143	+	0.00244360i
$372$	−7.39319	+	5.74024i	−0.383319	+	0.297618i
$373$	−22.8437	+	6.12095i	−1.18280	+	0.316931i	−0.796037	−	0.605248i	$-0.793074\pi$
$373$	−22.8437	+	6.12095i	−1.18280	+	0.316931i	−0.386764	+	0.922179i	$0.626407\pi$
$374$	−7.02588	−	14.1453i	−0.363299	−	0.731436i
$375$	−29.6838	−	16.3930i	−1.53287	−	0.846531i
$376$	19.6391	−	22.7842i	1.01281	−	1.17500i
$377$	−1.08945	+	1.08945i	−0.0561093	+	0.0561093i
$378$	−29.7271	−	20.8356i	−1.52900	−	1.07167i
$379$	−15.2128			−0.781428			−0.390714	−	0.920512i	$-0.627772\pi$
$379$	−15.2128			−0.781428			−0.390714	+	0.920512i	$0.627772\pi$
$380$	−14.3036	+	15.9921i	−0.733760	+	0.820376i
$381$	1.75325	+	3.03671i	0.0898215	+	0.155575i
$382$	−22.6799	−	7.62676i	−1.16040	−	0.390219i
$383$	−25.9169	+	6.94441i	−1.32429	+	0.354843i	−0.850584	−	0.525840i	$-0.823751\pi$
$383$	−25.9169	+	6.94441i	−1.32429	+	0.354843i	−0.473707	+	0.880682i	$0.657084\pi$
$384$	31.0720	+	14.5598i	1.58564	+	0.743004i
$385$	17.7090	+	1.88515i	0.902534	+	0.0960761i
$386$	−0.992894	+	15.8402i	−0.0505370	+	0.806244i
$387$	−0.159468	−	0.595142i	−0.00810620	−	0.0302528i
$388$	−9.57413	+	23.4918i	−0.486053	+	1.19262i
$389$	−2.94260	−	5.09674i	−0.149196	−	0.258415i	0.781735	−	0.623611i	$-0.214335\pi$
$389$	−2.94260	−	5.09674i	−0.149196	−	0.258415i	−0.930931	+	0.365196i	$0.881002\pi$
$390$	38.7701	−	4.60704i	1.96320	−	0.233287i
$391$			2.10574i			0.106492i
$392$	−10.3038	−	16.9066i	−0.520419	−	0.853911i
$393$	19.4588	−	19.4588i	0.981567	−	0.981567i
$394$	6.33771	+	4.20865i	0.319289	+	0.212029i
$395$	−9.47815	+	4.49313i	−0.476897	+	0.226074i
$396$	34.3979	−	14.4783i	1.72856	−	0.727562i
$397$	−1.59997	+	0.428710i	−0.0803000	+	0.0215163i	−0.298745	−	0.954333i	$-0.596568\pi$
$397$	−1.59997	+	0.428710i	−0.0803000	+	0.0215163i	0.218445	+	0.975849i	$0.429901\pi$
$398$	6.95512	−	6.13463i	0.348629	−	0.307501i
$399$	27.8977	−	26.5298i	1.39663	−	1.32815i
$400$	−18.3244	−	8.01341i	−0.916222	−	0.400671i
$401$	−17.5949	+	30.4753i	−0.878649	+	1.52186i	−0.0258250	+	0.999666i	$0.508221\pi$
$401$	−17.5949	+	30.4753i	−0.878649	+	1.52186i	−0.852824	+	0.522198i	$0.825112\pi$
$402$	11.2733	−	33.5238i	0.562263	−	1.67201i
$403$	−1.62573	+	6.06731i	−0.0809834	+	0.302234i
$404$	0.285312	+	0.216355i	0.0141948	+	0.0107641i
$405$	24.1361	+	1.95747i	1.19933	+	0.0972676i
$406$	−1.39475	+	0.245269i	−0.0692204	+	0.0121725i
$407$	−12.1335	−	12.1335i	−0.601433	−	0.601433i
$408$	−2.35296	−	31.7391i	−0.116489	−	1.57132i
$409$	−3.20723	−	5.55508i	−0.158587	−	0.274681i	0.775772	−	0.631013i	$-0.217361\pi$
$409$	−3.20723	−	5.55508i	−0.158587	−	0.274681i	−0.934359	+	0.356332i	$0.884027\pi$
$410$	9.27184	−	21.6085i	0.457904	−	1.06717i
$411$	−17.8287	+	30.8803i	−0.879427	+	1.52321i
$412$	6.88711	−	5.34730i	0.339303	−	0.263443i
$413$	3.28369	+	6.03266i	0.161580	+	0.296848i
$414$	−4.96603	−	0.311280i	−0.244067	−	0.0152986i
$415$	−2.57795	−	14.0969i	−0.126546	−	0.691988i
$416$	22.5188	−	4.81381i	1.10408	−	0.236016i
$417$	14.6246	−	54.5797i	0.716169	−	2.67278i
$418$	4.04164	+	20.0204i	0.197683	+	0.979227i
$419$		−	1.60907i		−	0.0786080i	−0.999227	−	0.0393040i	$-0.987486\pi$
$419$		−	1.60907i		−	0.0786080i	0.999227	−	0.0393040i	$-0.0125141\pi$
$420$	31.6122	+	16.9857i	1.54252	+	0.828816i
$421$			19.9392i			0.971777i	0.874021	+	0.485889i	$0.161504\pi$
$421$			19.9392i			0.971777i	−0.874021	+	0.485889i	$0.838496\pi$
$422$	34.5580	−	6.97646i	1.68226	−	0.339609i
$423$	17.0625	−	63.6783i	0.829609	−	3.09614i
$424$	−0.167863	+	0.0585871i	−0.00815217	+	0.00284524i
$425$	1.85100	+	18.4574i	0.0897867	+	0.895313i
$426$	−0.954844	+	15.2331i	−0.0462623	+	0.738048i
$427$	34.0106	+	20.7926i	1.64589	+	1.00622i
$428$	20.5506	+	26.4684i	0.993352	+	1.27940i
$429$	18.5831	−	32.1869i	0.897200	−	1.55400i
$430$	0.116607	+	0.291884i	0.00562330	+	0.0140759i
$431$	−3.13599	−	5.43170i	−0.151056	−	0.261636i	0.780560	−	0.625081i	$-0.214934\pi$
$431$	−3.13599	−	5.43170i	−0.151056	−	0.261636i	−0.931616	+	0.363445i	$0.881601\pi$
$432$	38.8058	−	0.442368i	1.86705	−	0.0212834i
$433$	−7.48136	−	7.48136i	−0.359531	−	0.359531i	0.504109	−	0.863640i	$-0.331821\pi$
$433$	−7.48136	−	7.48136i	−0.359531	−	0.359531i	−0.863640	+	0.504109i	$0.831821\pi$
$434$	−4.42450	+	3.70912i	−0.212383	+	0.178044i
$435$	1.95581	−	1.66237i	0.0937739	−	0.0797046i
$436$	−6.25623	−	4.74416i	−0.299619	−	0.227204i
$437$	0.704779	−	2.63027i	0.0337141	−	0.125823i
$438$	37.1331	+	12.4871i	1.77429	+	0.596657i
$439$	10.1082	−	17.5079i	0.482439	−	0.835609i	−0.517358	−	0.855769i	$-0.673084\pi$
$439$	10.1082	−	17.5079i	0.482439	−	0.835609i	0.999797	+	0.0201605i	$0.00641771\pi$
$440$	−16.5535	+	9.40493i	−0.789157	+	0.448362i
$441$	−36.4414	−	23.5564i	−1.73530	−	1.12174i
$442$	−14.1280	−	16.0176i	−0.672002	−	0.761881i
$443$	5.01367	−	1.34341i	0.238206	−	0.0638272i	−0.137741	−	0.990468i	$-0.543984\pi$
$443$	5.01367	−	1.34341i	0.238206	−	0.0638272i	0.375947	+	0.926641i	$0.377317\pi$
$444$	−13.4140	−	31.8693i	−0.636600	−	1.51245i
$445$	−12.2730	−	25.8895i	−0.581795	−	1.22728i
$446$	3.89334	−	5.86290i	0.184355	−	0.277616i
$447$	−40.9461	+	40.9461i	−1.93668	+	1.93668i
$448$	19.4892	+	8.25663i	0.920777	+	0.390089i
$449$			31.2849i			1.47643i	0.674567	+	0.738213i	$0.264330\pi$
$449$			31.2849i			1.47643i	−0.674567	+	0.738213i	$0.735670\pi$
$450$	−43.8021	+	1.63681i	−2.06485	+	0.0771602i
$451$	−11.1918	−	19.3847i	−0.526999	−	0.912789i
$452$	−6.59049	+	16.1709i	−0.309991	+	0.760617i
$453$	−8.94812	−	33.3948i	−0.420419	−	1.56903i
$454$	−14.1639	−	0.887822i	−0.664745	−	0.0416676i
$455$	23.7914	−	3.73569i	1.11536	−	0.175132i
$456$	−7.68382	+	40.4327i	−0.359828	+	1.89343i
$457$	4.20238	−	1.12602i	0.196579	−	0.0526732i	−0.159186	−	0.987249i	$-0.550887\pi$
$457$	4.20238	−	1.12602i	0.196579	−	0.0526732i	0.355765	+	0.934575i	$0.384220\pi$
$458$	5.56157	−	16.5385i	0.259875	−	0.772795i
$459$	−17.9973	−	31.1722i	−0.840042	−	1.45500i
$460$	2.53439	−	0.141249i	0.118167	−	0.00658575i
$461$	−7.87908			−0.366965			−0.183483	−	0.983023i	$-0.558737\pi$
$461$	−7.87908			−0.366965			−0.183483	+	0.983023i	$0.558737\pi$
$462$	30.9676	−	14.4230i	1.44074	−	0.671020i
$463$	−1.14496	+	1.14496i	−0.0532109	+	0.0532109i	−0.733212	−	0.680001i	$-0.761979\pi$
$463$	−1.14496	+	1.14496i	−0.0532109	+	0.0532109i	0.680001	+	0.733212i	$0.261979\pi$
$464$	1.05824	−	1.08265i	0.0491276	−	0.0502605i
$465$	3.51673	−	9.85620i	0.163085	−	0.457070i
$466$	−9.39425	+	4.66606i	−0.435180	+	0.216151i
$467$	−27.6405	+	7.40624i	−1.27905	+	0.342720i	−0.833490	−	0.552534i	$-0.813661\pi$
$467$	−27.6405	+	7.40624i	−1.27905	+	0.342720i	−0.445557	+	0.895254i	$0.646994\pi$
$468$	39.8633	−	30.9507i	1.84268	−	1.43070i
$469$	6.17419	−	20.9245i	0.285098	−	0.966204i
$470$	−4.81025	+	33.2848i	−0.221880	+	1.53531i
$471$	11.4524	−	19.8362i	0.527699	−	0.914002i
$472$	−6.61298	−	3.19117i	−0.304387	−	0.146885i
$473$	0.289011	+	0.0774402i	0.0132887	+	0.00356071i
$474$	−11.1307	+	16.7614i	−0.511248	+	0.769878i
$475$	3.86549	−	23.6745i	0.177361	−	1.08626i
$476$	−2.18381	−	19.5096i	−0.100095	−	0.894219i
$477$	−0.275530	+	0.275530i	−0.0126157	+	0.0126157i
$478$	2.85930	−	0.577226i	0.130781	−	0.0264017i
$479$	19.9497	+	34.5539i	0.911525	+	1.57881i	0.811911	+	0.583782i	$0.198428\pi$
$479$	19.9497	+	34.5539i	0.911525	+	1.57881i	0.0996143	+	0.995026i	$0.468239\pi$
$480$	−38.0422	+	4.96093i	−1.73638	+	0.226434i
$481$	−20.0955	−	11.6021i	−0.916274	−	0.529011i
$482$	−12.1432	−	13.7674i	−0.553109	−	0.627086i
$483$	−4.55315	−	0.114436i	−0.207175	−	0.00520700i
$484$	0.484065	−	3.84611i	0.0220030	−	0.174823i
$485$	−5.10209	−	27.8995i	−0.231674	−	1.26685i
$486$	4.73588	−	2.35228i	0.214824	−	0.106701i
$487$	−5.46323	+	20.3891i	−0.247563	+	0.923916i	0.724515	+	0.689259i	$0.242064\pi$
$487$	−5.46323	+	20.3891i	−0.247563	+	0.923916i	−0.972078	+	0.234658i	$0.924603\pi$
$488$	−42.4987	+	3.15062i	−1.92382	+	0.142622i
$489$	30.7937			1.39254
$490$	19.8782	+	9.73944i	0.898006	+	0.439983i
$491$			10.7296i			0.484221i	0.970249	+	0.242111i	$0.0778397\pi$
$491$			10.7296i			0.484221i	−0.970249	+	0.242111i	$0.922160\pi$
$492$	−6.14208	−	44.6843i	−0.276907	−	2.01452i
$493$	−1.35632	−	0.363425i	−0.0610857	−	0.0163679i
$494$	12.2863	+	24.7361i	0.552785	+	1.11293i
$495$	−23.7157	+	34.3309i	−1.06594	+	1.54306i
$496$	1.52942	−	5.97969i	0.0686728	−	0.268496i
$497$	−0.236548	+	9.41175i	−0.0106106	+	0.422175i
$498$	−18.1838	−	20.6158i	−0.814834	−	0.923816i
$499$	−6.87769	+	11.9125i	−0.307887	+	0.533277i	−0.977900	−	0.209073i	$-0.932955\pi$
$499$	−6.87769	+	11.9125i	−0.307887	+	0.533277i	0.670013	+	0.742350i	$0.266289\pi$
$500$	22.0904	−	3.46588i	0.987915	−	0.154999i
$501$	17.0922	−	9.86818i	0.763623	−	0.440878i
$502$	4.43066	+	21.9474i	0.197750	+	0.979559i
$503$	11.9832	+	11.9832i	0.534305	+	0.534305i	0.921851	−	0.387546i	$-0.126677\pi$
$503$	11.9832	+	11.9832i	0.534305	+	0.534305i	−0.387546	+	0.921851i	$0.626677\pi$
$504$	46.3328	−	2.26614i	2.06383	−	0.100942i
$505$	−0.399021	−	0.0323611i	−0.0177562	−	0.00144005i
$506$	1.33670	−	2.01291i	0.0594237	−	0.0894849i
$507$	2.80318	−	10.4616i	0.124493	−	0.464616i
$508$	−2.14125	−	0.872671i	−0.0950027	−	0.0387185i
$509$	29.4398	+	16.9971i	1.30490	+	0.753383i	0.981240	−	0.192792i	$-0.0617542\pi$
$509$	29.4398	+	16.9971i	1.30490	+	0.753383i	0.323657	+	0.946174i	$0.395088\pi$
$510$	21.3033	+	28.5009i	0.943327	+	1.26204i
$511$	23.1774	+	6.83894i	1.02531	+	0.302537i
$512$	−22.0721	+	4.98207i	−0.975460	+	0.220178i
$513$	12.0472	+	44.9607i	0.531896	+	1.98506i
$514$	−25.2079	+	12.5206i	−1.11187	+	0.552261i
$515$	−3.27600	+	9.18151i	−0.144358	+	0.404586i
$516$	0.480414	+	0.364303i	0.0211491	+	0.0160376i
$517$	22.6374	+	22.6374i	0.995591	+	0.995591i
$518$	−9.00482	−	19.3342i	−0.395649	−	0.849496i
$519$		−	66.0354i		−	2.89863i
$520$	−18.3306	+	18.0784i	−0.803848	+	0.792791i
$521$	−25.1484	+	14.5194i	−1.10177	+	0.636109i	−0.936686	−	0.350171i	$-0.886124\pi$
$521$	−25.1484	+	14.5194i	−1.10177	+	0.636109i	−0.165086	+	0.986279i	$0.552790\pi$
$522$	1.05757	−	3.14493i	0.0462888	−	0.137650i
$523$	4.29934	+	16.0454i	0.187997	+	0.701615i	0.993969	+	0.109661i	$0.0349765\pi$
$523$	4.29934	+	16.0454i	0.187997	+	0.701615i	−0.805972	+	0.591954i	$0.798357\pi$
$524$	−2.26602	+	18.0045i	−0.0989915	+	0.786530i
$525$	−40.0101	+	2.99928i	−1.74618	+	0.130899i
$526$	1.35605	−	21.6339i	0.0591267	−	0.943281i
$527$	−5.52961	+	1.48166i	−0.240874	+	0.0645419i
$528$	−17.8984	+	31.8336i	−0.778929	+	1.38538i
$529$	19.6396	−	11.3389i	0.853895	−	0.492997i
$530$	0.122990	−	0.156162i	0.00534236	−	0.00678324i
$531$	−16.0925			−0.698354
$532$	−3.80195	+	25.1002i	−0.164836	+	1.08823i
$533$	−21.4033	−	21.4033i	−0.927080	−	0.927080i
$534$	−45.7838	−	30.4034i	−1.98126	−	1.31568i
$535$	−35.2862	−	12.5902i	−1.52555	−	0.544324i
$536$	7.68538	+	22.0201i	0.331958	+	0.951123i
$537$	7.19015	+	26.8340i	0.310278	+	1.15797i
$538$	−13.0773	−	14.8263i	−0.563802	−	0.639209i
$539$	18.7551	−	9.60594i	0.807838	−	0.413757i
$540$	−36.3106	+	23.7519i	−1.56256	+	1.02212i
$541$	−38.5388	−	22.2504i	−1.65691	−	0.956620i	−0.974127	−	0.226003i	$-0.927434\pi$
$541$	−38.5388	−	22.2504i	−1.65691	−	0.956620i	−0.682787	−	0.730617i	$-0.739232\pi$
$542$	8.40623	−	24.9978i	0.361079	−	1.07375i
$543$	23.1673	+	6.20767i	0.994206	+	0.266397i
$544$	14.0610	+	15.5800i	0.602861	+	0.667987i
$545$	8.74962	+	0.709605i	0.374792	+	0.0303961i
$546$	35.4020	−	29.6780i	1.51507	−	1.27010i
$547$	−22.5229	+	22.5229i	−0.963008	+	0.963008i	−0.999340	−	0.0363314i	$-0.988433\pi$
$547$	−22.5229	+	22.5229i	−0.963008	+	0.963008i	0.0363314	+	0.999340i	$0.488433\pi$
$548$	−3.20192	−	23.2942i	−0.136779	−	0.995081i
$549$	−80.8843	+	46.6986i	−3.45206	+	1.99305i
$550$	9.94714	−	18.8187i	0.424148	−	0.802432i
$551$	1.57254	+	0.907906i	0.0669924	+	0.0386781i
$552$	4.02520	−	2.73962i	0.171324	−	0.116606i
$553$	−6.47359	+	10.5889i	−0.275285	+	0.450287i
$554$	−0.325925	+	5.19965i	−0.0138472	+	0.220912i
$555$	31.8072	+	21.9723i	1.35014	+	0.932674i
$556$	14.4550	+	34.3425i	0.613028	+	1.45644i
$557$	−7.61198	−	2.03962i	−0.322530	−	0.0864216i	0.0939215	−	0.995580i	$-0.470060\pi$
$557$	−7.61198	−	2.03962i	−0.322530	−	0.0864216i	−0.416451	+	0.909158i	$0.636726\pi$
$558$	−2.67682	−	13.2597i	−0.113319	−	0.561326i
$559$	0.404611			0.0171132
$560$	−23.3345	+	3.93701i	−0.986064	+	0.166369i
$561$	33.8724			1.43010
$562$	5.99969	+	29.7196i	0.253082	+	1.25365i
$563$	−38.5332	−	10.3249i	−1.62398	−	0.435144i	−0.671812	−	0.740722i	$-0.734484\pi$
$563$	−38.5332	−	10.3249i	−1.62398	−	0.435144i	−0.952167	+	0.305578i	$0.901150\pi$
$564$	25.0265	+	59.4585i	1.05380	+	2.50365i
$565$	−3.51209	−	19.2050i	−0.147755	−	0.807961i
$566$	1.17597	−	18.7609i	0.0494298	−	0.788581i
$567$	25.1655	−	13.6981i	1.05685	−	0.575264i
$568$	−5.66302	−	8.32044i	−0.237615	−	0.349118i
$569$	1.31792	+	0.760899i	0.0552499	+	0.0318986i	0.527371	−	0.849635i	$-0.323178\pi$
$569$	1.31792	+	0.760899i	0.0552499	+	0.0318986i	−0.472121	+	0.881534i	$0.656511\pi$
$570$	−17.0708	−	42.7305i	−0.715016	−	1.78978i
$571$	−12.0443	+	6.95379i	−0.504039	+	0.291007i	−0.730380	−	0.683041i	$-0.760657\pi$
$571$	−12.0443	+	6.95379i	−0.504039	+	0.291007i	0.226341	+	0.974048i	$0.427324\pi$
$572$	3.33739	+	24.2799i	0.139543	+	1.01519i
$573$	36.2862	−	36.2862i	1.51588	−	1.51588i
$574$	−4.81856	−	27.4014i	−0.201123	−	1.14371i
$575$	−2.30387	+	1.65713i	−0.0960779	+	0.0691071i
$576$	−38.8213	+	30.8574i	−1.61755	+	1.28572i
$577$	1.24544	+	0.333715i	0.0518485	+	0.0138928i	0.284650	−	0.958632i	$-0.408123\pi$
$577$	1.24544	+	0.333715i	0.0518485	+	0.0138928i	−0.232802	+	0.972524i	$0.574789\pi$
$578$	−1.45868	+	4.33770i	−0.0606730	+	0.180424i
$579$	−29.4778	−	17.0190i	−1.22505	−	0.707286i
$580$	−0.346427	+	1.65680i	−0.0143846	+	0.0687948i
$581$	−11.6848	−	12.2873i	−0.484769	−	0.509765i
$582$	−35.9880	−	40.8013i	−1.49175	−	1.69127i
$583$	−0.0489749	−	0.182777i	−0.00202834	−	0.00756985i
$584$	−24.3909	+	8.51283i	−1.00930	+	0.352263i
$585$	−18.9618	+	53.1436i	−0.783976	+	2.19722i
$586$	12.4736	+	8.28328i	0.515280	+	0.342179i
$587$	7.56045	+	7.56045i	0.312053	+	0.312053i	0.845705	−	0.533651i	$-0.179181\pi$
$587$	7.56045	+	7.56045i	0.312053	+	0.312053i	−0.533651	+	0.845705i	$0.679181\pi$
$588$	42.3033	−	3.66171i	1.74456	−	0.151006i
$589$	7.40291			0.305032
$590$	8.15202	−	0.968703i	0.335613	−	0.0398809i
$591$	−14.1301	+	8.15801i	−0.581234	+	0.335576i
$592$	19.8749	+	11.1747i	0.816852	+	0.459276i
$593$	1.03686	−	0.277824i	0.0425785	−	0.0114089i	−0.237467	−	0.971396i	$-0.576317\pi$
$593$	1.03686	−	0.277824i	0.0425785	−	0.0114089i	0.280045	+	0.959987i	$0.409650\pi$
$594$	−2.58391	+	41.2226i	−0.106019	+	1.69138i
$595$	13.7899	+	17.0756i	0.565333	+	0.700033i
$596$	4.76826	−	37.8859i	0.195315	−	1.55187i
$597$	5.14774	+	19.2116i	0.210683	+	0.786279i
$598$	1.04150	−	3.09712i	0.0425899	−	0.126651i
$599$	−0.388615	+	0.224367i	−0.0158784	+	0.00916738i	−0.507918	−	0.861405i	$-0.669585\pi$
$599$	−0.388615	+	0.224367i	−0.0158784	+	0.00916738i	0.492040	+	0.870573i	$0.336251\pi$
$600$	32.8737	−	27.5517i	1.34206	−	1.12479i
$601$		−	17.0843i		−	0.696883i	−0.937330	−	0.348442i	$-0.886711\pi$
$601$		−	17.0843i		−	0.696883i	0.937330	−	0.348442i	$-0.113289\pi$
$602$	0.304545	+	0.213454i	0.0124123	+	0.00869975i
$603$	36.1437	+	36.1437i	1.47188	+	1.47188i
$604$	18.1657	+	13.7753i	0.739153	+	0.560508i
$605$	1.85650	+	3.91625i	0.0754776	+	0.159218i
$606$	−0.687758	+	0.341605i	−0.0279382	+	0.0138767i
$607$	−10.0473	−	37.4969i	−0.407805	−	1.52195i	−0.798822	−	0.601567i	$-0.794543\pi$
$607$	−10.0473	−	37.4969i	−0.407805	−	1.52195i	0.391017	−	0.920384i	$-0.372123\pi$
$608$	−12.3490	−	24.1670i	−0.500819	−	0.980102i
$609$	0.859527	−	2.91296i	0.0348298	−	0.118039i
$610$	38.1627	−	28.5251i	1.54516	−	1.15495i
$611$	37.4920	+	21.6460i	1.51677	+	0.875705i
$612$	42.5939	+	17.3592i	1.72176	+	0.701706i
$613$	4.73027	−	17.6536i	0.191054	−	0.713023i	−0.802199	−	0.597056i	$-0.796337\pi$
$613$	4.73027	−	17.6536i	0.191054	−	0.713023i	0.993253	−	0.115966i	$-0.0369964\pi$
$614$	3.90232	−	5.87643i	0.157485	−	0.237153i
$615$	32.6590	+	38.4239i	1.31694	+	1.54940i
$616$	−10.2969	+	20.0358i	−0.414876	+	0.807264i
$617$	8.54756	+	8.54756i	0.344112	+	0.344112i	0.857911	−	0.513799i	$-0.171762\pi$
$617$	8.54756	+	8.54756i	0.344112	+	0.344112i	−0.513799	+	0.857911i	$0.671762\pi$
$618$	3.70037	+	18.3299i	0.148851	+	0.737335i
$619$	−29.4504	+	17.0032i	−1.18371	+	0.683417i	−0.956870	−	0.290515i	$-0.906173\pi$
$619$	−29.4504	+	17.0032i	−1.18371	+	0.683417i	−0.226842	+	0.973932i	$0.572840\pi$
$620$	2.15418	+	6.55586i	0.0865140	+	0.263290i
$621$	2.75339	−	4.76901i	0.110490	−	0.191374i
$622$	−7.35329	−	8.33677i	−0.294840	−	0.334274i
$623$	−28.9236	−	17.6826i	−1.15880	−	0.708438i
$624$	−12.2374	+	47.8456i	−0.489887	+	1.91535i
$625$	−18.7373	+	16.5503i	−0.749493	+	0.662013i
$626$	−17.1062	−	34.4402i	−0.683703	−	1.37651i
$627$	−42.3099	−	11.3369i	−1.68969	−	0.452752i
$628$	2.05677	+	14.9632i	0.0820741	+	0.597097i
$629$		−	21.1478i		−	0.843219i
$630$	−42.3084	+	29.9970i	−1.68561	+	1.19511i
$631$	43.3633			1.72627			0.863133	−	0.504976i	$-0.168499\pi$
$631$	43.3633			1.72627			0.863133	+	0.504976i	$0.168499\pi$
$632$	−0.980918	−	13.2316i	−0.0390188	−	0.526325i
$633$	−19.5691	+	73.0330i	−0.777803	+	2.90280i
$634$	−5.92600	+	2.94340i	−0.235351	+	0.116897i
$635$	2.54300	−	0.465049i	0.100916	−	0.0184549i
$636$	0.0476144	−	0.378317i	0.00188803	−	0.0150012i
$637$	21.1359	−	19.1115i	0.837436	−	0.757227i
$638$	1.06583	+	1.20838i	0.0421967	+	0.0478404i
$639$	−19.1030	−	11.0291i	−0.755704	−	0.436306i
$640$	17.8083	−	17.9684i	0.703936	−	0.710263i
$641$	8.47748	+	14.6834i	0.334840	+	0.579960i	0.983454	−	0.181157i	$-0.0579843\pi$
$641$	8.47748	+	14.6834i	0.334840	+	0.579960i	−0.648614	+	0.761118i	$0.724651\pi$
$642$	−70.4449	+	14.2212i	−2.78024	+	0.561265i
$643$	6.83650	−	6.83650i	0.269605	−	0.269605i	−0.559336	−	0.828941i	$-0.688944\pi$
$643$	6.83650	−	6.83650i	0.269605	−	0.269605i	0.828941	+	0.559336i	$0.188944\pi$
$644$	2.41782	−	1.78171i	0.0952754	−	0.0702093i
$645$	−0.671881	−	0.0544904i	−0.0264553	−	0.00214556i
$646$	−13.9249	+	20.9692i	−0.547868	+	0.825023i
$647$	−1.92150	−	0.514865i	−0.0755420	−	0.0202414i	0.220850	−	0.975308i	$-0.429117\pi$
$647$	−1.92150	−	0.514865i	−0.0755420	−	0.0202414i	−0.296392	+	0.955066i	$0.595784\pi$
$648$	−13.3121	+	27.5863i	−0.522948	+	1.08369i
$649$	3.90739	−	6.76780i	0.153378	−	0.265659i
$650$	6.40653	−	28.0625i	0.251285	−	1.10070i
$651$	−2.90321	−	12.0370i	−0.113786	−	0.471765i
$652$	−16.0391	+	12.4531i	−0.628141	+	0.487703i
$653$	20.6261	−	5.52675i	0.807162	−	0.216278i	0.168436	−	0.985713i	$-0.446128\pi$
$653$	20.6261	−	5.52675i	0.807162	−	0.216278i	0.638726	+	0.769434i	$0.279462\pi$
$654$	15.0809	−	7.49060i	0.589711	−	0.292906i
$655$	−8.69071	−	18.3328i	−0.339574	−	0.716323i
$656$	21.2697	+	20.7902i	0.830442	+	0.811722i
$657$	−40.0351	+	40.0351i	−1.56192	+	1.56192i
$658$	16.8003	+	36.0718i	0.654943	+	1.40622i
$659$	32.7697			1.27653			0.638263	−	0.769818i	$-0.279653\pi$
$659$	32.7697			1.27653			0.638263	+	0.769818i	$0.279653\pi$
$660$	−2.27209	−	40.7676i	−0.0884410	−	1.58688i
$661$	6.95307	+	12.0431i	0.270443	+	0.468421i	0.968975	−	0.247157i	$-0.0794964\pi$
$661$	6.95307	+	12.0431i	0.270443	+	0.468421i	−0.698532	+	0.715579i	$0.746163\pi$
$662$	−12.4483	+	37.0178i	−0.483817	+	1.43874i
$663$	44.2443	−	11.8552i	1.71831	−	0.460419i
$664$	17.8083	+	3.38428i	0.691095	+	0.131335i
$665$	−11.5098	−	25.9445i	−0.446333	−	1.00609i
$666$	49.8735	+	3.12617i	1.93256	+	0.121137i
$667$	−0.0556001	−	0.207502i	−0.00215284	−	0.00803452i
$668$	−4.91185	+	12.0521i	−0.190045	+	0.466309i
$669$	7.54682	+	13.0715i	0.291777	+	0.505373i
$670$	−20.4851	−	16.1337i	−0.791409	−	0.623300i
$671$		−	45.3552i		−	1.75092i
$672$	−34.4521	+	29.5568i	−1.32902	+	1.14018i
$673$	15.8853	−	15.8853i	0.612332	−	0.612332i	−0.331221	−	0.943553i	$-0.607461\pi$
$673$	15.8853	−	15.8853i	0.612332	−	0.612332i	0.943553	+	0.331221i	$0.107461\pi$
$674$	21.1693	−	31.8783i	0.815409	−	1.22791i
$675$	19.9421	−	44.2219i	0.767571	−	1.70210i
$676$	2.77067	+	6.58262i	0.106564	+	0.253178i
$677$	4.10135	−	1.09895i	0.157628	−	0.0422362i	−0.179142	−	0.983823i	$-0.557332\pi$
$677$	4.10135	−	1.09895i	0.157628	−	0.0422362i	0.336770	+	0.941587i	$0.390666\pi$
$678$	−24.7728	−	28.0861i	−0.951395	−	1.07864i
$679$	−23.1258	−	24.3182i	−0.887486	−	0.933247i
$680$	−22.6219	−	6.22974i	−0.867510	−	0.238900i
$681$	15.2180	−	26.3583i	0.583154	−	1.01005i
$682$	6.22639	+	2.09380i	0.238421	+	0.0801759i
$683$	−2.97268	+	11.0942i	−0.113746	+	0.424508i	−0.999190	−	0.0402393i	$-0.987188\pi$
$683$	−2.97268	+	11.0942i	−0.113746	+	0.424508i	0.885444	+	0.464747i	$0.153855\pi$
$684$	−47.3939	−	35.9393i	−1.81215	−	1.37417i
$685$	17.0254	+	20.0307i	0.650507	+	0.765333i
$686$	25.9911	−	3.23464i	0.992345	−	0.123499i
$687$	26.4605	+	26.4605i	1.00953	+	1.00953i
$688$	−0.397553	+	0.00453192i	−0.0151566	+	0.000172778i
$689$	−0.127943	−	0.221603i	−0.00487422	−	0.00844241i
$690$	−2.14657	+	5.00269i	−0.0817184	+	0.190449i
$691$	4.62917	−	8.01795i	0.176102	−	0.305017i	−0.764440	−	0.644695i	$-0.776985\pi$
$691$	4.62917	−	8.01795i	0.176102	−	0.305017i	0.940542	+	0.339677i	$0.110318\pi$
$692$	26.7051	+	34.3950i	1.01517	+	1.30750i
$693$	−1.24046	+	49.3551i	−0.0471210	+	1.87484i
$694$	1.37880	−	21.9968i	0.0523386	−	0.834987i
$695$	−34.2756	−	23.6775i	−1.30015	−	0.898138i
$696$	1.06990	+	3.06548i	0.0405546	+	0.116197i
$697$	7.13987	−	26.6463i	0.270442	−	1.00930i
$698$	18.5170	−	3.73814i	0.700877	−	0.141491i
$699$		−	22.4955i		−	0.850860i
$700$	19.6266	−	17.7425i	0.741817	−	0.670603i
$701$			15.0927i			0.570043i	0.958521	+	0.285021i	$0.0920007\pi$
$701$			15.0927i			0.570043i	−0.958521	+	0.285021i	$0.907999\pi$
$702$	11.0526	+	54.7495i	0.417155	+	2.06639i
$703$	−7.07805	+	26.4156i	−0.266954	+	0.996285i
$704$	−3.55113	−	23.8190i	−0.133838	−	0.897711i
$705$	−59.3427	−	40.9938i	−2.23497	−	1.54391i
$706$	−15.5570	−	0.975142i	−0.585494	−	0.0367000i
$707$	−0.416039	+	0.226458i	−0.0156468	+	0.00851682i
$708$	12.4384	−	9.65743i	0.467463	−	0.362948i
$709$	10.4756	−	18.1442i	0.393418	−	0.681419i	−0.599480	−	0.800390i	$-0.704626\pi$
$709$	10.4756	−	18.1442i	0.393418	−	0.681419i	0.992898	+	0.118970i	$0.0379593\pi$
$710$	10.3410	+	4.43714i	0.388091	+	0.166523i
$711$	−14.5392	−	25.1827i	−0.545263	−	0.944423i
$712$	36.1421	−	2.67937i	1.35448	−	0.100414i
$713$	−0.619293	−	0.619293i	−0.0231927	−	0.0231927i
$714$	39.5564	+	14.4180i	1.48036	+	0.539581i
$715$	−17.7458	−	20.8782i	−0.663654	−	0.780801i
$716$	−14.5969	−	11.0690i	−0.545510	−	0.413666i
$717$	−1.61913	+	6.04269i	−0.0604676	+	0.225668i
$718$	−3.60782	+	10.7286i	−0.134643	+	0.400389i
$719$	−10.3198	+	17.8745i	−0.384864	+	0.666605i	−0.991750	−	0.128184i	$-0.959085\pi$
$719$	−10.3198	+	17.8745i	−0.384864	+	0.666605i	0.606886	+	0.794789i	$0.292418\pi$
$720$	18.0358	−	52.4290i	0.672156	−	1.95391i
$721$	2.70448	+	11.2130i	0.100720	+	0.417594i
$722$	4.26041	−	3.75781i	0.158556	−	0.139851i
$723$	38.0286	−	10.1897i	1.41430	−	0.378960i
$724$	−14.5773	+	6.13568i	−0.541761	+	0.228031i
$725$	−0.669749	−	1.76994i	−0.0248738	−	0.0657338i
$726$	6.92560	+	4.59904i	0.257033	+	0.170687i
$727$	−24.3676	+	24.3676i	−0.903743	+	0.903743i	−0.995758	−	0.0920148i	$-0.970669\pi$
$727$	−24.3676	+	24.3676i	−0.903743	+	0.903743i	0.0920148	+	0.995758i	$0.470669\pi$
$728$	−6.43746	+	29.7747i	−0.238588	+	1.10352i
$729$		−	21.1478i		−	0.783252i
$730$	17.8708	−	22.6907i	0.661426	−	0.839819i
$731$	0.184377	+	0.319350i	0.00681942	+	0.0118116i
$732$	34.4932	−	84.6351i	1.27490	−	3.12820i
$733$	5.83902	+	21.7915i	0.215669	+	0.804888i	0.985930	+	0.167159i	$0.0534593\pi$
$733$	5.83902	+	21.7915i	0.215669	+	0.804888i	−0.770261	+	0.637729i	$0.779874\pi$
$734$	2.38294	−	38.0163i	0.0879558	−	1.40321i
$735$	−37.6713	+	28.8894i	−1.38953	+	1.06560i
$736$	−0.988639	+	3.05476i	−0.0364417	+	0.112600i
$737$	−23.9764	+	6.42447i	−0.883184	+	0.236648i
$738$	61.7854	+	20.7771i	2.27435	+	0.764817i
$739$	10.2526	+	17.7580i	0.377148	+	0.653239i	0.990646	−	0.136457i	$-0.0435716\pi$
$739$	10.2526	+	17.7580i	0.377148	+	0.653239i	−0.613498	+	0.789696i	$0.710238\pi$
$740$	−25.4527	+	1.41855i	−0.935662	+	0.0521469i
$741$	−59.2333			−2.17599
$742$	0.0206071	−	0.234294i	0.000756510	−	0.00860122i
$743$	−13.2022	+	13.2022i	−0.484343	+	0.484343i	−0.906515	−	0.422173i	$-0.861268\pi$
$743$	−13.2022	+	13.2022i	−0.484343	+	0.484343i	0.422173	+	0.906515i	$0.361268\pi$
$744$	10.0264	+	8.64239i	0.367585	+	0.316845i
$745$	18.2874	+	38.5768i	0.669998	+	1.41334i
$746$	14.8780	+	29.9541i	0.544721	+	1.09670i
$747$	38.3740	−	10.2823i	1.40403	−	0.376209i
$748$	−17.6427	+	13.6982i	−0.645081	+	0.500855i
$749$	−43.0935	+	10.3938i	−1.57460	+	0.379781i
$750$	−14.4177	+	45.7367i	−0.526461	+	1.67007i
$751$	−3.56500	+	6.17476i	−0.130089	+	0.225320i	−0.923711	−	0.383091i	$-0.874860\pi$
$751$	−3.56500	+	6.17476i	−0.130089	+	0.225320i	0.793622	+	0.608411i	$0.208193\pi$
$752$	−37.0805	−	20.8485i	−1.35219	−	0.760268i
$753$	−46.3823	−	12.4281i	−1.69027	−	0.452905i
$754$	1.81512	+	1.20536i	0.0661029	+	0.0438966i
$755$	−25.4056	−	2.06043i	−0.924605	−	0.0749866i
$756$	−20.5642	+	47.0401i	−0.747912	+	1.71083i
$757$	1.38564	−	1.38564i	0.0503619	−	0.0503619i	−0.681477	−	0.731839i	$-0.738662\pi$
$757$	1.38564	−	1.38564i	0.0503619	−	0.0503619i	0.731839	+	0.681477i	$0.238662\pi$
$758$	4.25731	+	21.0887i	0.154632	+	0.765975i
$759$	2.59105	+	4.48784i	0.0940493	+	0.162898i
$760$	26.1719	+	15.3530i	0.949353	+	0.556910i
$761$	−14.6528	−	8.45979i	−0.531163	−	0.306667i	0.210327	−	0.977631i	$-0.432547\pi$
$761$	−14.6528	−	8.45979i	−0.531163	−	0.306667i	−0.741490	+	0.670964i	$0.765881\pi$
$762$	3.71899	−	3.28026i	0.134725	−	0.118831i
$763$	9.12277	−	4.96569i	0.330266	−	0.179770i
$764$	−4.22561	+	33.5743i	−0.152877	+	1.21467i
$765$	−50.5856	+	9.25079i	−1.82893	+	0.334463i
$766$	16.8795	+	33.9838i	0.609882	+	1.22789i
$767$	2.73514	−	10.2077i	0.0987603	−	0.368579i
$768$	11.4880	−	47.1480i	0.414538	−	1.70131i
$769$	30.7402			1.10852			0.554260	−	0.832343i	$-0.313001\pi$
$769$	30.7402			1.10852			0.554260	+	0.832343i	$0.313001\pi$
$770$	−2.34259	−	25.0766i	−0.0844212	−	0.903698i
$771$		−	60.3631i		−	2.17392i
$772$	22.2363	−	3.05649i	0.800301	−	0.110006i
$773$	44.7436	+	11.9890i	1.60931	+	0.431215i	0.947838	−	0.318752i	$-0.103264\pi$
$773$	44.7436	+	11.9890i	1.60931	+	0.431215i	0.661476	+	0.749966i	$0.269930\pi$
$774$	−0.780387	+	0.387613i	−0.0280504	+	0.0139325i
$775$	−5.97263	−	4.88388i	−0.214543	−	0.175434i
$776$	35.2448	+	6.69792i	1.26522	+	0.240441i
$777$	45.7270	+	1.14927i	1.64045	+	0.0412298i
$778$	−6.24185	+	5.50550i	−0.223781	+	0.197382i
$779$	−17.8368	+	30.8942i	−0.639068	+	1.10690i
$780$	−17.2363	−	52.4557i	−0.617160	−	1.87821i
$781$	9.27675	−	5.35593i	0.331948	−	0.191650i
$782$	2.91908	−	0.589294i	0.104386	−	0.0210731i
$783$	2.59655	+	2.59655i	0.0927931	+	0.0927931i
$784$	−20.5532	+	19.0149i	−0.734042	+	0.679104i
$785$	−10.9364	−	12.8668i	−0.390336	−	0.459237i
$786$	−32.4203	−	21.5292i	−1.15639	−	0.767920i
$787$	−3.52883	+	13.1698i	−0.125789	+	0.469451i	−0.999867	−	0.0163353i	$-0.994800\pi$
$787$	−3.52883	+	13.1698i	−0.125789	+	0.469451i	0.874078	+	0.485786i	$0.161467\pi$
$788$	4.06062	−	9.96343i	0.144653	−	0.354933i
$789$	40.2595	+	23.2438i	1.43328	+	0.827502i
$790$	8.88107	+	11.8817i	0.315974	+	0.422730i
$791$	−15.9190	−	16.7398i	−0.566013	−	0.595198i
$792$	−29.6968	−	43.6322i	−1.05523	−	1.55040i
$793$	−15.8742	−	59.2432i	−0.563708	−	2.10379i
$794$	1.04205	+	2.09798i	0.0369810	+	0.0744544i
$795$	0.182612	+	0.385216i	0.00647659	+	0.0136622i
$796$	−10.4505	−	7.92474i	−0.370409	−	0.280885i
$797$	3.46493	+	3.46493i	0.122734	+	0.122734i	0.765806	−	0.643072i	$-0.222340\pi$
$797$	3.46493	+	3.46493i	0.122734	+	0.122734i	−0.643072	+	0.765806i	$0.722340\pi$
$798$	−44.5841	−	31.2488i	−1.57826	−	1.10619i
$799$			39.4554i			1.39583i
$800$	−5.98046	+	27.6448i	−0.211441	+	0.977391i
$801$	68.7863	−	39.7138i	2.43044	−	1.40322i
$802$	47.1703	+	15.8624i	1.66564	+	0.560121i
$803$	−7.11616	−	26.5579i	−0.251124	−	0.937207i
$804$	−49.6271	−	6.24599i	−1.75021	−	0.220279i
$805$	−1.20754	+	3.13325i	−0.0425601	+	0.110433i
$806$	8.86576	+	0.555724i	0.312283	+	0.0195745i
$807$	40.9537	−	10.9735i	1.44164	−	0.386286i
$808$	0.220077	−	0.456060i	0.00774228	−	0.0160441i
$809$	−5.31715	+	3.06986i	−0.186941	+	0.107930i	−0.590550	−	0.807001i	$-0.701089\pi$
$809$	−5.31715	+	3.06986i	−0.186941	+	0.107930i	0.403609	+	0.914932i	$0.367756\pi$
$810$	−4.04098	−	34.0065i	−0.141986	−	1.19487i
$811$	39.4549			1.38545			0.692725	−	0.721202i	$-0.256410\pi$
$811$	39.4549			1.38545			0.692725	+	0.721202i	$0.256410\pi$
$812$	0.730326	+	1.86484i	0.0256294	+	0.0654429i
$813$	39.9947	+	39.9947i	1.40268	+	1.40268i
$814$	−13.4244	+	20.2155i	−0.470526	+	0.708555i
$815$	7.62937	−	21.3825i	0.267245	−	0.748996i
$816$	−43.3398	+	12.1440i	−1.51720	+	0.425125i
$817$	−0.123420	−	0.460608i	−0.00431791	−	0.0161146i
$818$	−6.80317	+	6.00061i	−0.237867	+	0.209806i
$819$	15.6538	+	64.9019i	0.546988	+	2.26786i
$820$	−32.5495	−	6.80591i	−1.13668	−	0.237673i
$821$	28.6725	+	16.5541i	1.00068	+	0.577742i	0.908449	−	0.417996i	$-0.137267\pi$
$821$	28.6725	+	16.5541i	1.00068	+	0.577742i	0.0922295	+	0.995738i	$0.470601\pi$
$822$	47.7971	+	16.0732i	1.66712	+	0.560616i
$823$	29.5229	+	7.91063i	1.02910	+	0.275747i	0.733591	−	0.679592i	$-0.237843\pi$
$823$	29.5229	+	7.91063i	1.02910	+	0.275747i	0.295512	+	0.955339i	$0.404510\pi$
$824$	−9.34005	−	8.05079i	−0.325376	−	0.280463i
$825$	26.6562	+	37.0594i	0.928049	+	1.29024i
$826$	7.44382	−	6.24026i	0.259004	−	0.217126i
$827$	1.79878	−	1.79878i	0.0625497	−	0.0625497i	−0.675140	−	0.737690i	$-0.735917\pi$
$827$	1.79878	−	1.79878i	0.0625497	−	0.0625497i	0.737690	+	0.675140i	$0.235917\pi$
$828$	0.958236	+	6.97126i	0.0333010	+	0.242268i
$829$	9.71073	−	5.60649i	0.337268	−	0.194722i	−0.321795	−	0.946809i	$-0.604286\pi$
$829$	9.71073	−	5.60649i	0.337268	−	0.194722i	0.659063	+	0.752088i	$0.270953\pi$
$830$	−18.8203	+	7.51870i	−0.653262	+	0.260978i
$831$	−9.67629	−	5.58661i	−0.335667	−	0.193797i
$832$	−12.9751	−	29.8696i	−0.449829	−	1.03554i
$833$	24.7157	+	7.97316i	0.856348	+	0.276254i
$834$	−79.7537	−	4.99912i	−2.76164	−	0.173105i
$835$	−2.61754	−	14.3134i	−0.0905837	−	0.495334i
$836$	26.6221	−	11.2054i	0.920745	−	0.387548i
$837$	14.4606	+	3.87472i	0.499833	+	0.133930i
$838$	−2.23056	+	0.450299i	−0.0770536	+	0.0155553i
$839$	31.6433			1.09245			0.546224	−	0.837639i	$-0.316065\pi$
$839$	31.6433			1.09245			0.546224	+	0.837639i	$0.316065\pi$
$840$	14.6997	−	48.5758i	0.507187	−	1.67602i
$841$	−28.8568			−0.995060
$842$	27.6407	−	5.58001i	0.952561	−	0.192300i
$843$	−62.8078	−	16.8293i	−2.16321	−	0.579632i
$844$	−19.3422	−	45.9536i	−0.665786	−	1.58179i
$845$	−6.56980	−	4.53840i	−0.226008	−	0.156126i
$846$	−93.0489	−	5.83249i	−3.19909	−	0.200525i
$847$	4.37521	+	2.67480i	0.150334	+	0.0919074i
$848$	0.128193	+	0.216305i	0.00440217	+	0.00742793i
$849$	34.9131	+	20.1571i	1.19822	+	0.691790i
$850$	25.0685	−	7.73125i	0.859841	−	0.265180i
$851$	2.80192	−	1.61769i	0.0960487	−	0.0554537i
$852$	21.3841	−	2.93936i	0.732608	−	0.100701i
$853$	−16.0236	+	16.0236i	−0.548636	+	0.548636i	−0.926046	−	0.377410i	$-0.876815\pi$
$853$	−16.0236	+	16.0236i	−0.548636	+	0.548636i	0.377410	+	0.926046i	$0.376815\pi$
$854$	19.3057	−	52.9660i	0.660629	−	1.81246i
$855$	66.2825	+	5.37559i	2.26681	+	0.183841i
$856$	30.9406	−	35.8955i	1.05753	−	1.22688i
$857$	−9.68503	−	2.59509i	−0.330834	−	0.0886468i	0.0895785	−	0.995980i	$-0.471448\pi$
$857$	−9.68503	−	2.59509i	−0.330834	−	0.0886468i	−0.420413	+	0.907333i	$0.638115\pi$
$858$	−49.8195	−	16.7533i	−1.70081	−	0.571947i
$859$	−27.4439	−	15.8447i	−0.936373	−	0.540615i	−0.0475513	−	0.998869i	$-0.515142\pi$
$859$	−27.4439	−	15.8447i	−0.936373	−	0.540615i	−0.888821	+	0.458254i	$0.848475\pi$
$860$	0.371990	−	0.243330i	0.0126848	−	0.00829750i
$861$	57.2282	+	16.8863i	1.95033	+	0.575484i
$862$	−6.65208	+	5.86733i	−0.226571	+	0.199842i
$863$	2.34072	+	8.73570i	0.0796792	+	0.297367i	0.994254	−	0.107051i	$-0.0341408\pi$
$863$	2.34072	+	8.73570i	0.0796792	+	0.297367i	−0.914574	+	0.404418i	$0.867474\pi$
$864$	−11.4731	−	53.6707i	−0.390322	−	1.82591i
$865$	−45.8536	−	16.3607i	−1.55907	−	0.556282i
$866$	−8.27735	+	12.4647i	−0.281276	+	0.423567i
$867$	−6.94001	−	6.94001i	−0.235695	−	0.235695i
$868$	6.37996	+	5.09546i	0.216550	+	0.172951i
$869$	14.1210			0.479021
$870$	−2.85179	−	2.24602i	−0.0966849	−	0.0761473i
$871$	−29.0696	+	16.7833i	−0.984986	+	0.568682i
$872$	−4.82578	+	10.0003i	−0.163421	+	0.338654i
$873$	75.9471	−	20.3500i	2.57042	−	0.688742i
$874$	−3.84344	−	0.240914i	−0.130006	−	0.00814905i
$875$	−7.83015	+	28.5252i	−0.264707	+	0.964329i
$876$	6.91847	−	54.9702i	0.233753	−	1.85727i
$877$	−10.4413	−	38.9675i	−0.352578	−	1.31584i	−0.883506	−	0.468421i	$-0.844823\pi$
$877$	−10.4413	−	38.9675i	−0.352578	−	1.31584i	0.530928	−	0.847417i	$-0.321844\pi$
$878$	−27.0991	−	9.11288i	−0.914552	−	0.307545i
$879$	−27.8102	+	16.0562i	−0.938015	+	0.541563i
$880$	17.6701	+	20.3153i	0.595658	+	0.684828i
$881$			29.1142i			0.980884i	0.871474	+	0.490442i	$0.163165\pi$
$881$			29.1142i			0.980884i	−0.871474	+	0.490442i	$0.836835\pi$
$882$	−22.4569	+	57.1090i	−0.756164	+	1.92296i
$883$	−17.3472	−	17.3472i	−0.583780	−	0.583780i	0.352160	−	0.935940i	$-0.385447\pi$
$883$	−17.3472	−	17.3472i	−0.583780	−	0.583780i	−0.935940	+	0.352160i	$0.885447\pi$
$884$	−18.2507	+	24.0675i	−0.613836	+	0.809478i
$885$	−5.91658	+	16.5822i	−0.198884	+	0.557403i
$886$	−3.26538	−	6.57423i	−0.109702	−	0.220866i
$887$	−11.9731	−	44.6840i	−0.402016	−	1.50034i	−0.809494	−	0.587128i	$-0.800258\pi$
$887$	−11.9731	−	44.6840i	−0.402016	−	1.50034i	0.407478	−	0.913215i	$-0.366408\pi$
$888$	−40.4248	+	27.5138i	−1.35657	+	0.923302i
$889$	2.21658	−	2.10789i	0.0743416	−	0.0706963i
$890$	−32.4547	+	24.2586i	−1.08788	+	0.813150i
$891$	−28.2321	−	16.2998i	−0.945812	−	0.546065i
$892$	−9.21699	−	3.75640i	−0.308608	−	0.125774i
$893$	13.2055	−	49.2836i	0.441905	−	1.64921i
$894$	68.2202	+	45.3026i	2.28163	+	1.51515i
$895$	20.4144	+	1.65563i	0.682377	+	0.0553416i
$896$	5.99168	−	29.3275i	0.200168	−	0.979762i
$897$	4.95517	+	4.95517i	0.165448	+	0.165448i
$898$	43.3687	−	8.75512i	1.44723	−	0.292162i
$899$	0.505773	−	0.292008i	0.0168685	−	0.00973902i
$900$	14.5271	+	60.2625i	0.484237	+	2.00875i
$901$	0.116604	−	0.201964i	0.00388464	−	0.00672840i
$902$	−23.7400	+	20.9394i	−0.790454	+	0.697205i
$903$	−0.700536	+	0.381315i	−0.0233124	+	0.0126894i
$904$	24.2613	+	4.61061i	0.806918	+	0.153346i
$905$	10.0503	−	14.5489i	0.334085	−	0.483622i
$906$	−43.7894	+	21.7499i	−1.45480	+	0.722592i
$907$	30.7329	+	8.23486i	1.02047	+	0.273434i	0.729998	−	0.683449i	$-0.239521\pi$
$907$	30.7329	+	8.23486i	1.02047	+	0.273434i	0.290472	+	0.956883i	$0.406188\pi$
$908$	2.73304	+	19.8832i	0.0906992	+	0.659846i
$909$		−	1.10981i		−	0.0368100i
$910$	−11.8366	−	31.9353i	−0.392381	−	1.05864i
$911$	−35.5797			−1.17881			−0.589403	−	0.807839i	$-0.700637\pi$
$911$	−35.5797			−1.17881			−0.589403	+	0.807839i	$0.700637\pi$
$912$	58.2001	−	0.663453i	1.92720	−	0.0219691i
$913$	−4.99325	+	18.6351i	−0.165253	+	0.616731i
$914$	−2.73699	−	5.51042i	−0.0905315	−	0.182269i
$915$	18.3815	+	100.515i	0.607674	+	3.32291i
$916$	−24.4829	−	3.08138i	−0.808939	−	0.101812i
$917$	−20.4813	−	12.5214i	−0.676353	−	0.413492i
$918$	−38.1759	+	33.6723i	−1.25999	+	1.11135i
$919$	42.4645	+	24.5169i	1.40078	+	0.808738i	0.994472	−	0.105000i	$-0.0334843\pi$
$919$	42.4645	+	24.5169i	1.40078	+	0.808738i	0.406303	+	0.913738i	$0.366818\pi$
$920$	−0.905058	−	3.47377i	−0.0298389	−	0.114527i
$921$	7.56423	+	13.1016i	0.249250	+	0.431714i
$922$	2.20497	+	10.9224i	0.0726167	+	0.359709i
$923$	10.2428	−	10.2428i	0.337145	−	0.337145i
$924$	−28.6602	−	38.8924i	−0.942851	−	1.27947i
$925$	23.1376	−	16.6424i	0.760759	−	0.547200i
$926$	1.90762	+	1.26678i	0.0626883	+	0.0416291i
$927$	−26.1040	−	6.99456i	−0.857369	−	0.229731i
$928$	−1.79696	−	1.16400i	−0.0589882	−	0.0382103i
$929$	17.6224	−	30.5228i	0.578171	−	1.00142i	−0.417518	−	0.908669i	$-0.637100\pi$
$929$	17.6224	−	30.5228i	0.578171	−	1.00142i	0.995689	−	0.0927531i	$-0.0295667\pi$
$930$	−14.6473	−	2.11680i	−0.480304	−	0.0694125i
$931$	−28.2037	−	18.2314i	−0.924338	−	0.597511i
$932$	9.09731	+	11.7170i	0.297992	+	0.383802i
$933$	23.0281	−	6.17035i	0.753905	−	0.202008i
$934$	18.0021	+	36.2439i	0.589046	+	1.18594i
$935$	8.39213	−	23.5203i	0.274452	−	0.769195i
$936$	−54.0612	−	46.5988i	−1.76705	−	1.52313i
$937$	−20.5656	+	20.5656i	−0.671847	+	0.671847i	−0.958142	−	0.286294i	$-0.907576\pi$
$937$	−20.5656	+	20.5656i	−0.671847	+	0.671847i	0.286294	+	0.958142i	$0.407576\pi$
$938$	−30.7344	−	2.70321i	−1.00351	−	0.0882629i
$939$	82.4708			2.69133
$940$	47.4871	−	2.64659i	1.54886	−	0.0863221i
$941$	−11.0780	−	19.1877i	−0.361134	−	0.625502i	0.627014	−	0.779008i	$-0.284277\pi$
$941$	−11.0780	−	19.1877i	−0.361134	−	0.625502i	−0.988148	+	0.153506i	$0.950944\pi$
$942$	−30.7028	−	10.3247i	−1.00035	−	0.336397i
$943$	4.07660	−	1.09232i	0.132752	−	0.0355709i
$944$	−2.57310	+	10.0603i	−0.0837473	+	0.327434i
$945$	−8.90353	−	56.7036i	−0.289632	−	1.84457i
$946$	0.0264714	−	0.422312i	0.000860659	−	0.0137306i
$947$	−4.17156	−	15.5685i	−0.135558	−	0.505908i	−0.999995	−	0.00316731i	$-0.998992\pi$
$947$	−4.17156	−	15.5685i	−0.135558	−	0.505908i	0.864437	−	0.502740i	$-0.167675\pi$
$948$	26.3504	+	10.7392i	0.855822	+	0.348792i
$949$	−18.5903	−	32.1994i	−0.603468	−	1.04524i
$950$	−33.9005	+	1.26681i	−1.09988	+	0.0411007i
$951$		−	14.1904i		−	0.460156i
$952$	−26.4340	+	8.48707i	−0.856729	+	0.275067i
$953$	−1.97852	+	1.97852i	−0.0640906	+	0.0640906i	−0.738426	−	0.674335i	$-0.764430\pi$
$953$	−1.97852	+	1.97852i	−0.0640906	+	0.0640906i	0.674335	+	0.738426i	$0.264430\pi$
$954$	0.459061	+	0.304846i	0.0148626	+	0.00986975i
$955$	−16.2062	−	34.1865i	−0.524420	−	1.10625i
$956$	−1.60036	−	3.80216i	−0.0517592	−	0.122971i
$957$	−3.33783	+	0.894369i	−0.107897	+	0.0289109i
$958$	42.3173	−	37.3252i	1.36721	−	1.20592i
$959$	29.8335	+	8.80296i	0.963374	+	0.284262i
$960$	17.5232	+	51.3476i	0.565560	+	1.65724i
$961$	−14.3095	+	24.7848i	−0.461597	+	0.799509i
$962$	−10.4597	+	31.1041i	−0.337233	+	1.00284i
$963$	26.8813	−	100.322i	0.866238	−	3.23284i
$964$	−15.6867	+	20.6863i	−0.505234	+	0.666262i
$965$	−19.1209	+	16.2521i	−0.615525	+	0.523175i
$966$	1.11557	+	6.34382i	0.0358928	+	0.204109i
$967$	−31.9418	−	31.9418i	−1.02718	−	1.02718i	−0.999620	−	0.0275573i	$-0.991227\pi$
$967$	−31.9418	−	31.9418i	−1.02718	−	1.02718i	−0.0275573	−	0.999620i	$-0.508773\pi$
$968$	−5.46713	+	0.405303i	−0.175720	+	0.0130269i
$969$	−26.9919	−	46.7514i	−0.867106	−	1.50187i
$970$	−37.2478	+	14.8805i	−1.19595	+	0.477783i
$971$	−1.49833	+	2.59518i	−0.0480837	+	0.0832833i	−0.889066	−	0.457780i	$-0.848645\pi$
$971$	−1.49833	+	2.59518i	−0.0480837	+	0.0832833i	0.840982	+	0.541063i	$0.181978\pi$
$972$	−4.58618	−	5.90681i	−0.147102	−	0.189461i
$973$	−49.2756	−	1.23846i	−1.57970	−	0.0397031i
$974$	29.7932	+	1.86750i	0.954635	+	0.0598384i
$975$	47.7891	+	39.0776i	1.53048	+	1.25149i
$976$	16.2608	+	58.0320i	0.520497	+	1.85756i
$977$	−12.2994	+	45.9020i	−0.393493	+	1.46853i	0.430840	+	0.902428i	$0.358217\pi$
$977$	−12.2994	+	45.9020i	−0.393493	+	1.46853i	−0.824332	+	0.566106i	$0.808449\pi$
$978$	−8.61766	−	42.6878i	−0.275562	−	1.36500i
$979$			38.5714i			1.23275i
$980$	7.93834	−	30.2817i	0.253581	−	0.967314i
$981$			24.3355i			0.776973i
$982$	14.8739	−	3.00270i	0.474646	−	0.0958199i
$983$	8.52100	−	31.8008i	0.271778	−	1.01429i	−0.686192	−	0.727420i	$-0.740719\pi$
$983$	8.52100	−	31.8008i	0.271778	−	1.01429i	0.957970	−	0.286868i	$-0.0926141\pi$
$984$	−60.2246	+	21.0194i	−1.91989	+	0.670073i
$985$	2.16392	+	11.8328i	0.0689481	+	0.377025i
$986$	−0.124230	+	1.98190i	−0.00395628	+	0.0631167i
$987$	−85.3127	−	2.14419i	−2.71553	−	0.0682503i
$988$	30.8521	−	23.9542i	0.981535	−	0.762086i
$989$	−0.0282076	+	0.0488570i	−0.000896950	+	0.00155356i
$990$	54.2280	+	23.2683i	1.72348	+	0.739515i
$991$	4.98094	+	8.62724i	0.158225	+	0.274053i	0.934229	−	0.356675i	$-0.116090\pi$
$991$	4.98094	+	8.62724i	0.158225	+	0.274053i	−0.776004	+	0.630728i	$0.782756\pi$
$992$	−8.71734	−	0.446727i	−0.276776	−	0.0141836i
$993$	−59.2259	−	59.2259i	−1.87948	−	1.87948i
$994$	13.1132	−	2.30597i	0.415926	−	0.0731410i
$995$	14.6155	+	1.18534i	0.463343	+	0.0375777i
$996$	−23.4899	+	30.9765i	−0.744304	+	0.981529i
$997$	9.34204	−	34.8650i	0.295865	−	1.10418i	−0.644662	−	0.764468i	$-0.723002\pi$
$997$	9.34204	−	34.8650i	0.295865	−	1.10418i	0.940528	−	0.339717i	$-0.110331\pi$
$998$	18.4384	+	6.20045i	0.583658	+	0.196272i
$999$	−27.6521	+	47.8949i	−0.874874	+	1.51533i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.e.117.17	✓	160
5.3	odd	4	inner	280.2.bv.e.173.3	yes	160
7.3	odd	6	inner	280.2.bv.e.157.36	yes	160
8.5	even	2	inner	280.2.bv.e.117.24	yes	160
35.3	even	12	inner	280.2.bv.e.213.24	yes	160
40.13	odd	4	inner	280.2.bv.e.173.36	yes	160
56.45	odd	6	inner	280.2.bv.e.157.3	yes	160
280.213	even	12	inner	280.2.bv.e.213.17	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.e.117.17	✓	160	1.1	even	1	trivial
280.2.bv.e.117.24	yes	160	8.5	even	2	inner
280.2.bv.e.157.3	yes	160	56.45	odd	6	inner
280.2.bv.e.157.36	yes	160	7.3	odd	6	inner
280.2.bv.e.173.3	yes	160	5.3	odd	4	inner
280.2.bv.e.173.36	yes	160	40.13	odd	4	inner
280.2.bv.e.213.17	yes	160	280.213	even	12	inner
280.2.bv.e.213.24	yes	160	35.3	even	12	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.279851 - 1.38625i) q^{2} +(2.92962 + 0.784989i) q^{3} +(-1.84337 + 0.775886i) q^{4} +(1.27091 - 1.83978i) q^{5} +(0.268333 - 4.28086i) q^{6} +(0.0664755 - 2.64492i) q^{7} +(1.59144 + 2.33823i) q^{8} +(5.36839 + 3.09944i) q^{9} +O(q^{10})\)	\(q+(-0.279851 - 1.38625i) q^{2} +(2.92962 + 0.784989i) q^{3} +(-1.84337 + 0.775886i) q^{4} +(1.27091 - 1.83978i) q^{5} +(0.268333 - 4.28086i) q^{6} +(0.0664755 - 2.64492i) q^{7} +(1.59144 + 2.33823i) q^{8} +(5.36839 + 3.09944i) q^{9} +(-2.90605 - 1.24694i) q^{10} +(-2.60698 + 1.50514i) q^{11} +(-6.00943 + 0.826027i) q^{12} +(-2.87845 + 2.87845i) q^{13} +(-3.68511 + 0.648031i) q^{14} +(5.16750 - 4.39219i) q^{15} +(2.79600 - 2.86048i) q^{16} +(-3.58357 - 0.960215i) q^{17} +(2.79424 - 8.30929i) q^{18} +(4.15484 + 2.39880i) q^{19} +(-0.915302 + 4.37747i) q^{20} +(2.27098 - 7.69641i) q^{21} +(2.81606 + 3.19270i) q^{22} +(-0.146902 - 0.548247i) q^{23} +(2.82682 + 8.09939i) q^{24} +(-1.76956 - 4.67639i) q^{25} +(4.79579 + 3.18471i) q^{26} +(6.86041 + 6.86041i) q^{27} +(1.92961 + 4.92713i) q^{28} +0.378483 q^{29} +(-7.53480 - 5.93427i) q^{30} +(1.33632 - 0.771522i) q^{31} +(-4.74780 - 3.07544i) q^{32} +(-8.81897 + 2.36304i) q^{33} +(-0.328230 + 5.23644i) q^{34} +(-4.78157 - 3.48376i) q^{35} +(-12.3007 - 1.54815i) q^{36} +(1.47533 + 5.50601i) q^{37} +(2.16260 - 6.43095i) q^{38} +(-10.6923 + 6.17322i) q^{39} +(6.32440 + 0.0437973i) q^{40} +7.43569i q^{41} +(-11.3047 - 0.994290i) q^{42} +(-0.0702827 - 0.0702827i) q^{43} +(3.63780 - 4.79724i) q^{44} +(12.5250 - 5.93752i) q^{45} +(-0.718896 + 0.357071i) q^{46} +(-2.75252 - 10.2726i) q^{47} +(10.4367 - 6.18530i) q^{48} +(-6.99116 - 0.351644i) q^{49} +(-5.98743 + 3.76174i) q^{50} +(-9.74474 - 5.62613i) q^{51} +(3.07269 - 7.53939i) q^{52} +(-0.0162692 + 0.0607176i) q^{53} +(7.59034 - 11.4301i) q^{54} +(-0.544121 + 6.70916i) q^{55} +(6.29022 - 4.05379i) q^{56} +(10.2891 + 10.2891i) q^{57} +(-0.105919 - 0.524672i) q^{58} +(-2.24823 + 1.29802i) q^{59} +(-6.11775 + 12.1058i) q^{60} +(-7.53339 + 13.0482i) q^{61} +(-1.44349 - 1.63655i) q^{62} +(8.55462 - 13.9929i) q^{63} +(-2.93465 + 7.44230i) q^{64} +(1.63745 + 8.95397i) q^{65} +(5.74375 + 11.5640i) q^{66} +(7.96486 + 2.13418i) q^{67} +(7.35086 - 1.01041i) q^{68} -1.72147i q^{69} +(-3.49123 + 7.60338i) q^{70} -3.55843 q^{71} +(1.29625 + 17.4851i) q^{72} +(-2.36396 + 8.82240i) q^{73} +(7.21982 - 3.58604i) q^{74} +(-1.51322 - 15.0891i) q^{75} +(-9.52010 - 1.19819i) q^{76} +(3.80767 + 6.99529i) q^{77} +(11.5499 + 13.0946i) q^{78} +(-4.06245 - 2.34546i) q^{79} +(-1.70918 - 8.77945i) q^{80} +(5.41473 + 9.37858i) q^{81} +(10.3077 - 2.08089i) q^{82} +(4.53175 - 4.53175i) q^{83} +(1.78529 + 15.9493i) q^{84} +(-6.32099 + 5.37262i) q^{85} +(-0.0777606 + 0.117098i) q^{86} +(1.10881 + 0.297105i) q^{87} +(-7.66821 - 3.70038i) q^{88} +(6.40661 - 11.0966i) q^{89} +(-11.7360 - 15.7012i) q^{90} +(7.42192 + 7.80461i) q^{91} +(0.696172 + 0.896641i) q^{92} +(4.52053 - 1.21127i) q^{93} +(-13.4700 + 6.69046i) q^{94} +(9.69371 - 4.59532i) q^{95} +(-11.4951 - 12.7369i) q^{96} +(8.96890 - 8.96890i) q^{97} +(1.46902 + 9.78989i) q^{98} -18.6603 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

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Database

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