LMFDB - Embedded newform 280.2.ba.b.59.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(19,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))

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

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

chi := DirichletCharacter("280.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.ba (of order $6$, degree $2$, 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:	$80$
Relative dimension:	$40$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			59.15
Character	$\chi$	$=$	280.59
Dual form			280.2.ba.b.19.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.516996 - 1.31633i) q^{2} +(1.13535 - 1.96648i) q^{3} +(-1.46543 + 1.36107i) q^{4} +(-0.406539 - 2.19880i) q^{5} +(-3.17551 - 0.477826i) q^{6} +(-0.551936 - 2.58754i) q^{7} +(2.54924 + 1.22531i) q^{8} +(-1.07804 - 1.86722i) q^{9} +O(q^{10})$	\(q+(-0.516996 - 1.31633i) q^{2} +(1.13535 - 1.96648i) q^{3} +(-1.46543 + 1.36107i) q^{4} +(-0.406539 - 2.19880i) q^{5} +(-3.17551 - 0.477826i) q^{6} +(-0.551936 - 2.58754i) q^{7} +(2.54924 + 1.22531i) q^{8} +(-1.07804 - 1.86722i) q^{9} +(-2.68416 + 1.67191i) q^{10} +(-0.454564 + 0.787328i) q^{11} +(1.01275 + 4.42704i) q^{12} +5.66349i q^{13} +(-3.12070 + 2.06428i) q^{14} +(-4.78547 - 1.69696i) q^{15} +(0.294968 - 3.98911i) q^{16} +(3.14931 - 5.45476i) q^{17} +(-1.90053 + 2.38440i) q^{18} +(-0.966292 + 0.557889i) q^{19} +(3.58848 + 2.66886i) q^{20} +(-5.71500 - 1.85239i) q^{21} +(1.27139 + 0.191309i) q^{22} +(-1.14508 - 1.98334i) q^{23} +(5.30384 - 3.62187i) q^{24} +(-4.66945 + 1.78780i) q^{25} +(7.45501 - 2.92801i) q^{26} +1.91628 q^{27} +(4.33065 + 3.04063i) q^{28} +6.21463i q^{29} +(0.240322 + 7.17656i) q^{30} +(1.41914 - 2.45801i) q^{31} +(-5.40347 + 1.67408i) q^{32} +(1.03218 + 1.78779i) q^{33} +(-8.80842 - 1.32542i) q^{34} +(-5.46510 + 2.26553i) q^{35} +(4.12122 + 1.26899i) q^{36} +(0.789609 + 1.36764i) q^{37} +(1.23393 + 0.983529i) q^{38} +(11.1372 + 6.43005i) q^{39} +(1.65786 - 6.10340i) q^{40} -0.163067i q^{41} +(0.516282 + 8.48048i) q^{42} -8.29346i q^{43} +(-0.405478 - 1.77247i) q^{44} +(-3.66738 + 3.12950i) q^{45} +(-2.01872 + 2.53268i) q^{46} +(8.56191 - 4.94322i) q^{47} +(-7.50963 - 5.10909i) q^{48} +(-6.39073 + 2.85631i) q^{49} +(4.76741 + 5.22224i) q^{50} +(-7.15113 - 12.3861i) q^{51} +(-7.70842 - 8.29945i) q^{52} +(2.56505 - 4.44280i) q^{53} +(-0.990712 - 2.52246i) q^{54} +(1.91598 + 0.679417i) q^{55} +(1.76354 - 7.27255i) q^{56} +2.53360i q^{57} +(8.18048 - 3.21294i) q^{58} +(9.97768 + 5.76061i) q^{59} +(9.32245 - 4.02660i) q^{60} +(-0.977217 - 1.69259i) q^{61} +(-3.96924 - 0.597261i) q^{62} +(-4.23650 + 3.82006i) q^{63} +(4.99721 + 6.24723i) q^{64} +(12.4529 - 2.30243i) q^{65} +(1.81968 - 2.28296i) q^{66} +(-6.09472 - 3.51879i) q^{67} +(2.80923 + 12.2800i) q^{68} -5.20028 q^{69} +(5.80762 + 6.02259i) q^{70} -0.811490i q^{71} +(-0.460247 - 6.08093i) q^{72} +(-4.54031 + 7.86404i) q^{73} +(1.39204 - 1.74645i) q^{74} +(-1.78579 + 11.2122i) q^{75} +(0.656706 - 2.13274i) q^{76} +(2.28813 + 0.741649i) q^{77} +(2.70617 - 17.9845i) q^{78} +(9.82237 - 5.67095i) q^{79} +(-8.89117 + 0.973152i) q^{80} +(5.40978 - 9.37001i) q^{81} +(-0.214649 + 0.0843050i) q^{82} +7.80839 q^{83} +(10.8962 - 5.06397i) q^{84} +(-13.2742 - 4.70713i) q^{85} +(-10.9169 + 4.28769i) q^{86} +(12.2210 + 7.05578i) q^{87} +(-2.12352 + 1.45010i) q^{88} +(12.4104 - 7.16517i) q^{89} +(6.01546 + 3.20954i) q^{90} +(14.6545 - 3.12589i) q^{91} +(4.37750 + 1.34791i) q^{92} +(-3.22243 - 5.58142i) q^{93} +(-10.9334 - 8.71464i) q^{94} +(1.61952 + 1.89788i) q^{95} +(-2.84277 + 12.5265i) q^{96} -9.99774 q^{97} +(7.06383 + 6.93559i) q^{98} +1.96016 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) $ 80 * q + 6 * q^4 - 52 * q^9	$ 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) $ 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−0.516996	−	1.31633i	−0.365572	−	0.930783i
$2$	−0.516996	−	1.31633i	−0.365572	−	0.930783i
$3$	1.13535	−	1.96648i	0.655495	−	1.13535i	−0.326275	−	0.945275i	$-0.605793\pi$
$3$	1.13535	−	1.96648i	0.655495	−	1.13535i	0.981769	−	0.190075i	$-0.0608732\pi$
$4$	−1.46543	+	1.36107i	−0.732715	+	0.680536i
$5$	−0.406539	−	2.19880i	−0.181810	−	0.983334i
$5$	−0.406539	−	2.19880i	−0.181810	−	0.983334i
$6$	−3.17551	−	0.477826i	−1.29640	−	0.195072i
$7$	−0.551936	−	2.58754i	−0.208612	−	0.977998i
$7$	−0.551936	−	2.58754i	−0.208612	−	0.977998i
$8$	2.54924	+	1.22531i	0.901291	+	0.433214i
$9$	−1.07804	−	1.86722i	−0.359347	−	0.622407i
$10$	−2.68416	+	1.67191i	−0.848806	+	0.528704i
$11$	−0.454564	+	0.787328i	−0.137056	+	0.237388i	−0.926381	−	0.376587i	$-0.877097\pi$
$11$	−0.454564	+	0.787328i	−0.137056	+	0.237388i	0.789325	+	0.613976i	$0.210431\pi$
$12$	1.01275	+	4.42704i	0.292356	+	1.27798i
$13$			5.66349i			1.57077i	0.619007	+	0.785385i	$0.287535\pi$
$13$			5.66349i			1.57077i	−0.619007	+	0.785385i	$0.712465\pi$
$14$	−3.12070	+	2.06428i	−0.834042	+	0.551701i
$15$	−4.78547	−	1.69696i	−1.23560	−	0.438153i
$16$	0.294968	−	3.98911i	0.0737419	−	0.997277i
$17$	3.14931	−	5.45476i	0.763819	−	1.32297i	−0.177050	−	0.984202i	$-0.556655\pi$
$17$	3.14931	−	5.45476i	0.763819	−	1.32297i	0.940869	−	0.338771i	$-0.110011\pi$
$18$	−1.90053	+	2.38440i	−0.447959	+	0.562009i
$19$	−0.966292	+	0.557889i	−0.221683	+	0.127989i	−0.606729	−	0.794909i	$-0.707519\pi$
$19$	−0.966292	+	0.557889i	−0.221683	+	0.127989i	0.385047	+	0.922897i	$0.374185\pi$
$20$	3.58848	+	2.66886i	0.802408	+	0.596775i
$21$	−5.71500	−	1.85239i	−1.24712	−	0.404225i
$22$	1.27139	+	0.191309i	0.271061	+	0.0407872i
$23$	−1.14508	−	1.98334i	−0.238766	−	0.413555i	0.721594	−	0.692316i	$-0.243410\pi$
$23$	−1.14508	−	1.98334i	−0.238766	−	0.413555i	−0.960360	+	0.278761i	$0.910076\pi$
$24$	5.30384	−	3.62187i	1.08264	−	0.739312i
$25$	−4.66945	+	1.78780i	−0.933891	+	0.357559i
$26$	7.45501	−	2.92801i	1.46205	−	0.574229i
$27$	1.91628			0.368789
$28$	4.33065	+	3.04063i	0.818416	+	0.574626i
$29$			6.21463i			1.15403i	0.816734	+	0.577014i	$0.195782\pi$
$29$			6.21463i			1.15403i	−0.816734	+	0.577014i	$0.804218\pi$
$30$	0.240322	+	7.17656i	0.0438766	+	1.31026i
$31$	1.41914	−	2.45801i	0.254884	−	0.441472i	−0.709980	−	0.704222i	$-0.751296\pi$
$31$	1.41914	−	2.45801i	0.254884	−	0.441472i	0.964864	+	0.262750i	$0.0846293\pi$
$32$	−5.40347	+	1.67408i	−0.955207	+	0.295939i
$33$	1.03218	+	1.78779i	0.179679	+	0.311214i
$34$	−8.80842	−	1.32542i	−1.51063	−	0.227308i
$35$	−5.46510	+	2.26553i	−0.923771	+	0.382945i
$36$	4.12122	+	1.26899i	0.686869	+	0.211499i
$37$	0.789609	+	1.36764i	0.129811	+	0.224839i	0.923603	−	0.383350i	$-0.125230\pi$
$37$	0.789609	+	1.36764i	0.129811	+	0.224839i	−0.793792	+	0.608189i	$0.791896\pi$
$38$	1.23393	+	0.983529i	0.200170	+	0.159549i
$39$	11.1372	+	6.43005i	1.78337	+	1.02963i
$40$	1.65786	−	6.10340i	0.262131	−	0.965032i
$41$		−	0.163067i		−	0.0254668i	−0.999919	−	0.0127334i	$-0.995947\pi$
$41$		−	0.163067i		−	0.0254668i	0.999919	−	0.0127334i	$-0.00405327\pi$
$42$	0.516282	+	8.48048i	0.0796640	+	1.30857i
$43$		−	8.29346i		−	1.26474i	−0.774666	−	0.632370i	$-0.782082\pi$
$43$		−	8.29346i		−	1.26474i	0.774666	−	0.632370i	$-0.217918\pi$
$44$	−0.405478	−	1.77247i	−0.0611282	−	0.267210i
$45$	−3.66738	+	3.12950i	−0.546701	+	0.466518i
$46$	−2.01872	+	2.53268i	−0.297644	+	0.373423i
$47$	8.56191	−	4.94322i	1.24888	−	0.721043i	0.277996	−	0.960582i	$-0.410330\pi$
$47$	8.56191	−	4.94322i	1.24888	−	0.721043i	0.970887	+	0.239540i	$0.0769965\pi$
$48$	−7.50963	−	5.10909i	−1.08392	−	0.737433i
$49$	−6.39073	+	2.85631i	−0.912962	+	0.408045i
$50$	4.76741	+	5.22224i	0.674214	+	0.738536i
$51$	−7.15113	−	12.3861i	−1.00136	−	1.73440i
$52$	−7.70842	−	8.29945i	−1.06897	−	1.15093i
$53$	2.56505	−	4.44280i	0.352337	−	0.610266i	−0.634321	−	0.773070i	$-0.718720\pi$
$53$	2.56505	−	4.44280i	0.352337	−	0.610266i	0.986659	+	0.162803i	$0.0520537\pi$
$54$	−0.990712	−	2.52246i	−0.134819	−	0.343263i
$55$	1.91598	+	0.679417i	0.258350	+	0.0916125i
$56$	1.76354	−	7.27255i	0.235662	−	0.971835i
$57$			2.53360i			0.335583i
$58$	8.18048	−	3.21294i	1.07415	−	0.421880i
$59$	9.97768	+	5.76061i	1.29898	+	0.749968i	0.980228	−	0.197869i	$-0.0634022\pi$
$59$	9.97768	+	5.76061i	1.29898	+	0.749968i	0.318754	+	0.947837i	$0.396736\pi$
$60$	9.32245	−	4.02660i	1.20352	−	0.519832i
$61$	−0.977217	−	1.69259i	−0.125120	−	0.216714i	0.796660	−	0.604428i	$-0.206598\pi$
$61$	−0.977217	−	1.69259i	−0.125120	−	0.216714i	−0.921780	+	0.387714i	$0.873265\pi$
$62$	−3.96924	−	0.597261i	−0.504094	−	0.0758522i
$63$	−4.23650	+	3.82006i	−0.533749	+	0.481283i
$64$	4.99721	+	6.24723i	0.624651	+	0.780904i
$65$	12.4529	−	2.30243i	1.54459	−	0.285581i
$66$	1.81968	−	2.28296i	0.223987	−	0.281013i
$67$	−6.09472	−	3.51879i	−0.744589	−	0.429889i	0.0791464	−	0.996863i	$-0.474781\pi$
$67$	−6.09472	−	3.51879i	−0.744589	−	0.429889i	−0.823735	+	0.566974i	$0.808114\pi$
$68$	2.80923	+	12.2800i	0.340669	+	1.48917i
$69$	−5.20028			−0.626040
$70$	5.80762	+	6.02259i	0.694143	+	0.719837i
$71$		−	0.811490i		−	0.0963061i	−0.998840	−	0.0481531i	$-0.984666\pi$
$71$		−	0.811490i		−	0.0963061i	0.998840	−	0.0481531i	$-0.0153335\pi$
$72$	−0.460247	−	6.08093i	−0.0542407	−	0.716644i
$73$	−4.54031	+	7.86404i	−0.531403	+	0.920417i	0.467925	+	0.883768i	$0.345002\pi$
$73$	−4.54031	+	7.86404i	−0.531403	+	0.920417i	−0.999328	+	0.0366487i	$0.988332\pi$
$74$	1.39204	−	1.74645i	0.161821	−	0.203021i
$75$	−1.78579	+	11.2122i	−0.206206	+	1.29467i
$76$	0.656706	−	2.13274i	0.0753294	−	0.244642i
$77$	2.28813	+	0.741649i	0.260757	+	0.0845187i
$78$	2.70617	−	17.9845i	0.306413	−	2.03634i
$79$	9.82237	−	5.67095i	1.10510	−	0.638031i	0.167546	−	0.985864i	$-0.446416\pi$
$79$	9.82237	−	5.67095i	1.10510	−	0.638031i	0.937557	+	0.347833i	$0.113082\pi$
$80$	−8.89117	+	0.973152i	−0.994063	+	0.108802i
$81$	5.40978	−	9.37001i	0.601086	−	1.04111i
$82$	−0.214649	+	0.0843050i	−0.0237041	+	0.00930993i
$83$	7.80839			0.857082			0.428541	−	0.903522i	$-0.359028\pi$
$83$	7.80839			0.857082			0.428541	+	0.903522i	$0.359028\pi$
$84$	10.8962	−	5.06397i	1.18887	−	0.552525i
$85$	−13.2742	−	4.70713i	−1.43979	−	0.510560i
$86$	−10.9169	+	4.28769i	−1.17720	+	0.462353i
$87$	12.2210	+	7.05578i	1.31023	+	0.756459i
$88$	−2.12352	+	1.45010i	−0.226368	+	0.154581i
$89$	12.4104	−	7.16517i	1.31550	−	0.759506i	0.332502	−	0.943103i	$-0.392107\pi$
$89$	12.4104	−	7.16517i	1.31550	−	0.759506i	0.983002	+	0.183597i	$0.0587740\pi$
$90$	6.01546	+	3.20954i	0.634085	+	0.338315i
$91$	14.6545	−	3.12589i	1.53621	−	0.327682i
$92$	4.37750	+	1.34791i	0.456386	+	0.140529i
$93$	−3.22243	−	5.58142i	−0.334151	−	0.578766i
$94$	−10.9334	−	8.71464i	−1.12769	−	0.898846i
$95$	1.61952	+	1.89788i	0.166159	+	0.194718i
$96$	−2.84277	+	12.5265i	−0.290139	+	1.27848i
$97$	−9.99774			−1.01512			−0.507558	−	0.861618i	$-0.669452\pi$
$97$	−9.99774			−1.01512			−0.507558	+	0.861618i	$0.669452\pi$
$98$	7.06383	+	6.93559i	0.713554	+	0.700600i
$99$	1.96016			0.197003
$100$	4.40944	−	8.97535i	0.440944	−	0.897535i
$101$	−8.69267	+	15.0562i	−0.864953	+	1.49814i	0.00214005	+	0.999998i	$0.499319\pi$
$101$	−8.69267	+	15.0562i	−0.864953	+	1.49814i	−0.867093	+	0.498146i	$0.834015\pi$
$102$	−12.6071	+	15.8168i	−1.24829	+	1.56610i
$103$	−1.56602	+	0.904144i	−0.154305	+	0.0890880i	−0.575164	−	0.818038i	$-0.695062\pi$
$103$	−1.56602	+	0.904144i	−0.154305	+	0.0890880i	0.420859	+	0.907126i	$0.361729\pi$
$104$	−6.93956	+	14.4376i	−0.680480	+	1.41572i
$105$	−1.74967	+	13.3192i	−0.170751	+	1.29982i
$106$	−7.17430	−	1.07953i	−0.696830	−	0.104854i
$107$	−3.08558	+	1.78146i	−0.298294	+	0.172220i	−0.641676	−	0.766976i	$-0.721761\pi$
$107$	−3.08558	+	1.78146i	−0.298294	+	0.172220i	0.343382	+	0.939196i	$0.388427\pi$
$108$	−2.80818	+	2.60820i	−0.270217	+	0.250974i
$109$	−1.72947	−	0.998508i	−0.165653	−	0.0956398i	0.414882	−	0.909875i	$-0.363823\pi$
$109$	−1.72947	−	0.998508i	−0.165653	−	0.0956398i	−0.580534	+	0.814236i	$0.697156\pi$
$110$	−0.0962185	−	2.87331i	−0.00917407	−	0.273959i
$111$	3.58593			0.340361
$112$	−10.4848	+	1.43849i	−0.990719	+	0.135925i
$113$			13.5251i			1.27234i	0.771551	+	0.636168i	$0.219481\pi$
$113$			13.5251i			1.27234i	−0.771551	+	0.636168i	$0.780519\pi$
$114$	3.33504	−	1.30986i	0.312355	−	0.122680i
$115$	−3.89545	+	3.32411i	−0.363253	+	0.309975i
$116$	−8.45855	−	9.10710i	−0.785357	−	0.845573i
$117$	10.5750	−	6.10548i	0.977659	−	0.564452i
$118$	2.42443	−	16.1121i	0.223186	−	1.48324i
$119$	−15.8526	−	5.13828i	−1.45321	−	0.471025i
$120$	−10.1200	−	10.1897i	−0.923825	−	0.930184i
$121$	5.08674	+	8.81050i	0.462431	+	0.800954i
$122$	−1.72278	+	2.16140i	−0.155973	+	0.195684i
$123$	−0.320669	−	0.185138i	−0.0289137	−	0.0166933i
$124$	1.26589	+	5.53359i	0.113680	+	0.496931i
$125$	5.82932	+	9.54039i	0.521390	+	0.853318i
$126$	7.21870	+	3.60166i	0.643093	+	0.320862i
$127$	−1.34956			−0.119754			−0.0598772	−	0.998206i	$-0.519071\pi$
$127$	−1.34956			−0.119754			−0.0598772	+	0.998206i	$0.519071\pi$
$128$	5.63986	−	9.80775i	0.498498	−	0.866891i
$129$	−16.3090	−	9.41598i	−1.43592	−	0.829031i
$130$	−9.46885	−	15.2017i	−0.830473	−	1.33328i
$131$	−7.08950	+	4.09312i	−0.619412	+	0.357618i	−0.776640	−	0.629944i	$-0.783078\pi$
$131$	−7.08950	+	4.09312i	−0.619412	+	0.357618i	0.157228	+	0.987562i	$0.449744\pi$
$132$	−3.94589	−	1.21501i	−0.343446	−	0.105753i
$133$	1.97689	+	2.19240i	0.171418	+	0.190105i
$134$	−1.48093	+	9.84185i	−0.127933	+	0.850206i
$135$	−0.779044	−	4.21353i	−0.0670494	−	0.362643i
$136$	14.7121	−	10.0466i	1.26155	−	0.861487i
$137$	−4.43159	−	2.55858i	−0.378616	−	0.218594i	0.298600	−	0.954378i	$-0.403480\pi$
$137$	−4.43159	−	2.55858i	−0.378616	−	0.218594i	−0.677216	+	0.735784i	$0.736814\pi$
$138$	2.68852	+	6.84526i	0.228862	+	0.582707i
$139$			17.9166i			1.51967i	0.650117	+	0.759834i	$0.274720\pi$
$139$			17.9166i			1.51967i	−0.650117	+	0.759834i	$0.725280\pi$
$140$	4.92517	−	10.7584i	0.416253	−	0.909249i
$141$		−	22.4491i		−	1.89056i
$142$	−1.06819	+	0.419537i	−0.0896401	+	0.0352068i
$143$	−4.45903	−	2.57442i	−0.372883	−	0.215284i
$144$	−7.76654	+	3.74965i	−0.647212	+	0.312471i
$145$	13.6647	−	2.52649i	1.13479	−	0.209813i
$146$	12.6990	+	1.91084i	1.05097	+	0.158143i
$147$	−1.63883	+	15.8102i	−0.135168	+	1.30400i
$148$	−3.01857	−	0.929469i	−0.248125	−	0.0764019i
$149$	6.16993	−	3.56221i	0.505460	−	0.291827i	−0.225505	−	0.974242i	$-0.572403\pi$
$149$	6.16993	−	3.56221i	0.505460	−	0.291827i	0.730965	+	0.682414i	$0.239070\pi$
$150$	15.6821	−	3.44597i	1.28044	−	0.281362i
$151$	−2.46560	−	1.42352i	−0.200648	−	0.115844i	0.396310	−	0.918117i	$-0.370291\pi$
$151$	−2.46560	−	1.42352i	−0.200648	−	0.115844i	−0.596958	+	0.802273i	$0.703624\pi$
$152$	−3.14690	+	0.238179i	−0.255247	+	0.0193189i
$153$	−13.5803			−1.09790
$154$	−0.206706	−	3.39536i	−0.0166568	−	0.273606i
$155$	−5.98162	−	2.12112i	−0.480455	−	0.170372i
$156$	−25.0725	+	5.73571i	−2.00741	+	0.459224i
$157$	11.4030	+	6.58353i	0.910059	+	0.525423i	0.880450	−	0.474139i	$-0.157240\pi$
$157$	11.4030	+	6.58353i	0.910059	+	0.525423i	0.0296091	+	0.999562i	$0.490574\pi$
$158$	−12.5429	−	9.99758i	−0.997863	−	0.795365i
$159$	−5.82447	−	10.0883i	−0.461911	−	0.800053i
$160$	5.87769	+	11.2006i	0.464672	+	0.885483i
$161$	−4.49996	+	4.05762i	−0.354647	+	0.319785i
$162$	−15.1308	−	2.27677i	−1.18879	−	0.178880i
$163$	−14.9075	+	8.60684i	−1.16764	+	0.674139i	−0.953124	−	0.302580i	$-0.902152\pi$
$163$	−14.9075	+	8.60684i	−1.16764	+	0.674139i	−0.214520	+	0.976720i	$0.568819\pi$
$164$	0.221946	+	0.238963i	0.0173311	+	0.0186599i
$165$	3.51137	−	2.99636i	0.273360	−	0.233266i
$166$	−4.03691	−	10.2784i	−0.313325	−	0.797757i
$167$		−	0.285811i		−	0.0221167i	−0.999939	−	0.0110584i	$-0.996480\pi$
$167$		−	0.285811i		−	0.0221167i	0.999939	−	0.0110584i	$-0.00352006\pi$
$168$	−12.2991	−	11.7249i	−0.948898	−	0.904592i
$169$	−19.0752			−1.46732
$170$	0.666620	+	19.9068i	0.0511274	+	1.52678i
$171$	2.08341	+	1.20285i	0.159322	+	0.0919846i
$172$	11.2880	+	12.1535i	0.860701	+	0.926694i
$173$	−16.6842	+	9.63264i	−1.26848	+	0.732356i	−0.974700	−	0.223518i	$-0.928246\pi$
$173$	−16.6842	+	9.63264i	−1.26848	+	0.732356i	−0.293778	+	0.955874i	$0.594913\pi$
$174$	2.96951	−	19.7346i	0.225118	−	1.49608i
$175$	7.20323	+	11.0956i	0.544513	+	0.838752i
$176$	3.00666	+	2.04554i	0.226635	+	0.154189i
$177$	22.6563	−	13.0806i	1.70295	−	0.983200i
$178$	−15.8478	−	12.6318i	−1.18785	−	0.946794i
$179$	0.701703	−	1.21539i	0.0524478	−	0.0908422i	−0.838610	−	0.544733i	$-0.816631\pi$
$179$	0.701703	−	1.21539i	0.0524478	−	0.0908422i	0.891057	+	0.453891i	$0.149964\pi$
$180$	1.11482	−	9.57763i	0.0830941	−	0.713874i
$181$	15.3818			1.14332			0.571660	−	0.820491i	$-0.306300\pi$
$181$	15.3818			1.14332			0.571660	+	0.820491i	$0.306300\pi$
$182$	−11.6910	−	17.6741i	−0.866596	−	1.31009i
$183$	−4.43794			−0.328062
$184$	−0.488869	−	6.45909i	−0.0360399	−	0.476170i
$185$	2.68617	−	2.29219i	0.197491	−	0.168525i
$186$	−5.68098	+	7.12734i	−0.416550	+	0.522602i
$187$	2.86312	+	4.95908i	0.209372	+	0.362644i
$188$	−5.81880	+	18.8973i	−0.424379	+	1.37823i
$189$	−1.05767	−	4.95847i	−0.0769339	−	0.360675i
$190$	1.66094	−	3.11302i	0.120497	−	0.225842i
$191$	−19.4587	+	11.2345i	−1.40798	+	0.812898i	−0.995193	−	0.0979302i	$-0.968778\pi$
$191$	−19.4587	+	11.2345i	−1.40798	+	0.812898i	−0.412787	+	0.910828i	$0.635444\pi$
$192$	17.9587	−	2.73414i	1.29606	−	0.197319i
$193$	14.3435	+	8.28125i	1.03247	+	0.596097i	0.917691	−	0.397294i	$-0.130051\pi$
$193$	14.3435	+	8.28125i	1.03247	+	0.596097i	0.114779	+	0.993391i	$0.463384\pi$
$194$	5.16879	+	13.1603i	0.371098	+	0.944853i
$195$	9.61071	−	27.1025i	0.688237	−	1.94085i
$196$	5.47752	−	12.8840i	0.391252	−	0.920284i
$197$	16.1344			1.14953			0.574765	−	0.818318i	$-0.305093\pi$
$197$	16.1344			1.14953			0.574765	+	0.818318i	$0.305093\pi$
$198$	−1.01339	−	2.58020i	−0.0720187	−	0.183367i
$199$	−10.9134	+	18.9025i	−0.773629	+	1.33996i	0.161933	+	0.986802i	$0.448227\pi$
$199$	−10.9134	+	18.9025i	−0.773629	+	1.33996i	−0.935562	+	0.353163i	$0.885106\pi$
$200$	−14.0941	−	1.16403i	−0.996607	−	0.0823097i
$201$	−13.8393	+	7.99012i	−0.976149	+	0.563580i
$202$	24.3129	+	3.65842i	1.71065	+	0.257405i
$203$	16.0806	−	3.43008i	1.12864	−	0.240744i
$204$	27.3379	+	8.41779i	1.91403	+	0.589363i
$205$	−0.358552	+	0.0662930i	−0.0250423	+	0.00463011i
$206$	1.99978	+	1.59396i	0.139331	+	0.111056i
$207$	−2.46889	+	4.27624i	−0.171600	+	0.297219i
$208$	22.5923	+	1.67055i	1.56649	+	0.115832i
$209$		−	1.01439i		−	0.0701665i
$210$	18.4370	−	4.58285i	1.27227	−	0.316246i
$211$	−9.76612			−0.672328			−0.336164	−	0.941804i	$-0.609130\pi$
$211$	−9.76612			−0.672328			−0.336164	+	0.941804i	$0.609130\pi$
$212$	2.28807	+	10.0018i	0.157145	+	0.686929i
$213$	−1.59578	−	0.921325i	−0.109341	−	0.0631282i
$214$	3.94022	+	3.14062i	0.269348	+	0.214688i
$215$	−18.2357	+	3.37161i	−1.24366	+	0.229942i
$216$	4.88506	+	2.34805i	0.332386	+	0.159765i
$217$	−7.14348	−	2.31540i	−0.484931	−	0.157180i
$218$	−0.420235	+	2.79277i	−0.0284619	+	0.189150i
$219$	10.3097	+	17.8569i	0.696664	+	1.20666i
$220$	−3.73246	+	1.61214i	−0.251643	+	0.108691i
$221$	30.8930	+	17.8361i	2.07809	+	1.19978i
$222$	−1.85391	−	4.72025i	−0.124426	−	0.316803i
$223$		−	17.6951i		−	1.18495i	−0.805589	−	0.592474i	$-0.798151\pi$
$223$		−	17.6951i		−	1.18495i	0.805589	−	0.592474i	$-0.201849\pi$
$224$	7.31412	+	13.0577i	0.488695	+	0.872455i
$225$	8.37207	+	6.79159i	0.558138	+	0.452772i
$226$	17.8035	−	6.99243i	1.18427	−	0.465130i
$227$	8.76537	−	15.1821i	0.581778	−	1.00767i	−0.413490	−	0.910509i	$-0.635690\pi$
$227$	8.76537	−	15.1821i	0.581778	−	1.00767i	0.995269	−	0.0971611i	$-0.0309762\pi$
$228$	−3.44841	−	3.71281i	−0.228376	−	0.245887i
$229$	−3.45967	−	5.99232i	−0.228621	−	0.395984i	0.728778	−	0.684750i	$-0.240088\pi$
$229$	−3.45967	−	5.99232i	−0.228621	−	0.395984i	−0.957400	+	0.288766i	$0.906755\pi$
$230$	6.38955	+	3.40913i	0.421314	+	0.224791i
$231$	4.05627	−	3.65755i	0.266883	−	0.240649i
$232$	−7.61487	+	15.8426i	−0.499941	+	1.04011i
$233$	−3.78953	+	2.18788i	−0.248260	+	0.143333i	−0.618967	−	0.785417i	$-0.712449\pi$
$233$	−3.78953	+	2.18788i	−0.248260	+	0.143333i	0.370707	+	0.928750i	$0.379115\pi$
$234$	−13.5040	−	10.7636i	−0.882787	−	0.703641i
$235$	−14.3499	−	16.8163i	−0.936084	−	1.09698i
$236$	−22.4622	+	5.13856i	−1.46216	+	0.334492i
$237$		−	25.7540i		−	1.67291i
$238$	1.43209	+	23.5237i	0.0928289	+	1.52481i
$239$		−	14.1535i		−	0.915511i	−0.889078	−	0.457756i	$-0.848653\pi$
$239$		−	14.1535i		−	0.915511i	0.889078	−	0.457756i	$-0.151347\pi$
$240$	−8.18091	+	18.5892i	−0.528075	+	1.19993i
$241$	13.4126	+	7.74379i	0.863984	+	0.498821i	0.865344	−	0.501178i	$-0.167100\pi$
$241$	13.4126	+	7.74379i	0.863984	+	0.498821i	−0.00136057	+	0.999999i	$0.500433\pi$
$242$	8.96766	−	11.2508i	0.576463	−	0.723229i
$243$	−9.40956	−	16.2978i	−0.603624	−	1.04551i
$244$	3.73578	+	1.15031i	0.239159	+	0.0736410i
$245$	8.87855	+	12.8907i	0.567229	+	0.823560i
$246$	−0.0779177	+	0.517820i	−0.00496785	+	0.0330150i
$247$	−3.15960	−	5.47259i	−0.201041	−	0.348213i
$248$	6.62955	−	4.52717i	0.420977	−	0.287476i
$249$	8.86526	−	15.3551i	0.561813	−	0.973088i
$250$	9.54453	−	12.6056i	0.603649	−	0.797250i
$251$		−	6.13020i		−	0.386935i	−0.981107	−	0.193467i	$-0.938027\pi$
$251$		−	6.13020i		−	0.386935i	0.981107	−	0.193467i	$-0.0619734\pi$
$252$	1.00892	−	11.3642i	0.0635559	−	0.715878i
$253$	2.08205			0.130898
$254$	0.697720	+	1.77647i	0.0437788	+	0.111465i
$255$	−24.3274	+	20.7594i	−1.52344	+	1.30000i
$256$	−15.8260	−	2.35332i	−0.989124	−	0.147082i
$257$	3.21050	+	5.56075i	0.200266	+	0.346870i	0.948614	−	0.316436i	$-0.102486\pi$
$257$	3.21050	+	5.56075i	0.200266	+	0.346870i	−0.748348	+	0.663306i	$0.769153\pi$
$258$	−3.96283	+	26.3359i	−0.246715	+	1.63960i
$259$	3.10302	−	2.79800i	0.192812	−	0.173859i
$260$	−15.1151	+	20.3233i	−0.937397	+	1.26040i
$261$	11.6041	−	6.69962i	0.718275	−	0.414696i
$262$	9.05313	+	7.21596i	0.559304	+	0.445804i
$263$	3.23009	−	5.59468i	0.199176	−	0.344983i	−0.749086	−	0.662473i	$-0.769507\pi$
$263$	3.23009	−	5.59468i	0.199176	−	0.344983i	0.948261	+	0.317491i	$0.102840\pi$
$264$	0.440668	+	5.82224i	0.0271212	+	0.358334i
$265$	−10.8116	−	3.83387i	−0.664154	−	0.235513i
$266$	1.86387	−	3.73570i	0.114281	−	0.229050i
$267$		−	32.5399i		−	1.99141i
$268$	13.7207	−	3.13882i	0.838126	−	0.191734i
$269$	0.755340	−	1.30829i	0.0460539	−	0.0797677i	−0.842080	−	0.539353i	$-0.818669\pi$
$269$	0.755340	−	1.30829i	0.0460539	−	0.0797677i	0.888133	+	0.459586i	$0.152002\pi$
$270$	−5.14362	+	3.20386i	−0.313031	+	0.194980i
$271$	8.66274	+	15.0043i	0.526224	+	0.911447i	0.999533	+	0.0305504i	$0.00972602\pi$
$271$	8.66274	+	15.0043i	0.526224	+	0.911447i	−0.473309	+	0.880896i	$0.656941\pi$
$272$	−20.8307	−	14.1719i	−1.26305	−	0.859298i
$273$	10.4910	−	32.3669i	0.634945	−	1.95893i
$274$	−1.07681	+	7.15619i	−0.0650524	+	0.432321i
$275$	0.714984	−	4.48906i	0.0431152	−	0.270701i
$276$	7.62064	−	7.07795i	0.458709	−	0.426042i
$277$	−5.77685	+	10.0058i	−0.347097	+	0.601190i	−0.985733	−	0.168319i	$-0.946166\pi$
$277$	−5.77685	+	10.0058i	−0.347097	+	0.601190i	0.638635	+	0.769510i	$0.279499\pi$
$278$	23.5841	−	9.26282i	1.41448	−	0.555547i
$279$	−6.11954			−0.366368
$280$	−16.7078	−	0.921093i	−0.998484	−	0.0550458i
$281$	16.6526			0.993408			0.496704	−	0.867920i	$-0.334543\pi$
$281$	16.6526			0.993408			0.496704	+	0.867920i	$0.334543\pi$
$282$	−29.5504	+	11.6061i	−1.75970	+	0.691135i
$283$	−11.3769	+	19.7053i	−0.676285	+	1.17136i	0.299806	+	0.954000i	$0.403078\pi$
$283$	−11.3769	+	19.7053i	−0.676285	+	1.17136i	−0.976091	+	0.217360i	$0.930255\pi$
$284$	1.10450	+	1.18918i	0.0655398	+	0.0705649i
$285$	5.57088	−	1.03001i	0.329990	−	0.0610123i
$286$	−1.08348	+	7.20050i	−0.0640673	+	0.425775i
$287$	−0.421942	+	0.0900025i	−0.0249065	+	0.00531268i
$288$	8.95104	+	8.28474i	0.527445	+	0.488183i
$289$	−11.3363	−	19.6350i	−0.666839	−	1.15500i
$290$	−10.3903	−	16.6811i	−0.610139	−	0.979546i
$291$	−11.3509	+	19.6604i	−0.665404	+	1.15251i
$292$	−4.05003	−	17.7039i	−0.237010	−	1.03604i
$293$		−	8.66311i		−	0.506104i	−0.967453	−	0.253052i	$-0.918566\pi$
$293$		−	8.66311i		−	0.506104i	0.967453	−	0.253052i	$-0.0814344\pi$
$294$	21.6586	−	6.01658i	1.26316	−	0.350894i
$295$	8.61013	−	24.2808i	0.501301	−	1.41368i
$296$	0.337107	+	4.45396i	0.0195940	+	0.258881i
$297$	−0.871075	+	1.50875i	−0.0505449	+	0.0875463i
$298$	−7.87886	−	6.27999i	−0.456410	−	0.363790i
$299$	11.2326	−	6.48516i	0.649600	−	0.375047i
$300$	−12.6436	−	18.8613i	−0.729980	−	1.08895i
$301$	−21.4597	+	4.57746i	−1.23691	+	0.263840i
$302$	−0.599105	+	3.98149i	−0.0344746	+	0.229109i
$303$	19.7385	+	34.1880i	1.13395	+	1.96405i
$304$	1.94046	+	4.01920i	0.111293	+	0.230517i
$305$	−3.32439	+	2.83681i	−0.190354	+	0.162435i
$306$	7.02098	+	17.8761i	0.401363	+	1.02191i
$307$	11.6862			0.666967			0.333484	−	0.942756i	$-0.391776\pi$
$307$	11.6862			0.666967			0.333484	+	0.942756i	$0.391776\pi$
$308$	−4.36254	+	2.02748i	−0.248579	+	0.115526i
$309$			4.10608i			0.233587i
$310$	0.300391	+	8.97037i	0.0170611	+	0.509483i
$311$	5.66670	−	9.81500i	0.321329	−	0.556558i	−0.659434	−	0.751763i	$-0.729204\pi$
$311$	5.66670	−	9.81500i	0.321329	−	0.556558i	0.980762	+	0.195205i	$0.0625372\pi$
$312$	20.5125	+	30.0383i	1.16129	+	1.70058i
$313$	−12.7012	−	21.9992i	−0.717916	−	1.24347i	−0.961824	−	0.273668i	$-0.911763\pi$
$313$	−12.7012	−	21.9992i	−0.717916	−	1.24347i	0.243908	−	0.969798i	$-0.421570\pi$
$314$	2.77076	−	18.4137i	0.156363	−	1.03915i
$315$	10.1219	+	7.76222i	0.570302	+	0.437352i
$316$	−6.67542	+	21.6793i	−0.375522	+	1.21956i
$317$	−11.9131	−	20.6342i	−0.669109	−	1.15893i	−0.978154	−	0.207883i	$-0.933343\pi$
$317$	−11.9131	−	20.6342i	−0.669109	−	1.15893i	0.309045	−	0.951048i	$-0.399991\pi$
$318$	−10.2682	+	12.8825i	−0.575814	+	0.722415i
$319$	−4.89295	−	2.82495i	−0.273953	−	0.158167i
$320$	11.7049	−	13.5276i	0.654322	−	0.756216i
$321$			8.09033i			0.451558i
$322$	7.66762	+	3.82564i	0.427300	+	0.213195i
$323$			7.02785i			0.391040i
$324$	4.82561	+	21.0942i	0.268089	+	1.17190i
$325$	−10.1252	−	26.4454i	−0.561643	−	1.46693i
$326$	19.0365	+	15.1734i	1.05434	+	0.840377i
$327$	−3.92710	+	2.26731i	−0.217169	+	0.125383i
$328$	0.199808	−	0.415696i	0.0110326	−	0.0229530i
$329$	−17.5164	−	19.4259i	−0.965711	−	1.07099i
$330$	−5.75955	−	3.07300i	−0.317053	−	0.169163i
$331$	−2.35173	−	4.07331i	−0.129263	−	0.223889i	0.794129	−	0.607750i	$-0.207928\pi$
$331$	−2.35173	−	4.07331i	−0.129263	−	0.223889i	−0.923391	+	0.383861i	$0.874594\pi$
$332$	−11.4426	+	10.6278i	−0.627997	+	0.583275i
$333$	1.70246	−	2.94875i	0.0932943	−	0.161590i
$334$	−0.376220	+	0.147763i	−0.0205859	+	0.00808524i
$335$	−5.25938	+	14.8316i	−0.287351	+	0.810337i
$336$	−9.07513	+	22.2514i	−0.495089	+	1.21391i
$337$			10.0355i			0.546669i	0.961919	+	0.273335i	$0.0881267\pi$
$337$			10.0355i			0.546669i	−0.961919	+	0.273335i	$0.911873\pi$
$338$	9.86179	+	25.1091i	0.536411	+	1.36576i
$339$	26.5969	+	15.3557i	1.44455	+	0.834009i
$340$	25.8592	−	11.1692i	1.40241	−	0.605737i
$341$	1.29018	+	2.23465i	0.0698670	+	0.121013i
$342$	0.506236	−	3.36431i	0.0273741	−	0.181921i
$343$	10.9181	+	14.9598i	0.589522	+	0.807752i
$344$	10.1621	−	21.1420i	0.547903	−	1.13990i
$345$	2.11411	+	11.4344i	0.113820	+	0.615606i
$346$	21.3054	+	16.9818i	1.14538	+	0.912949i
$347$	6.86288	+	3.96228i	0.368418	+	0.212706i	0.672767	−	0.739854i	$-0.265106\pi$
$347$	6.86288	+	3.96228i	0.368418	+	0.212706i	−0.304349	+	0.952561i	$0.598439\pi$
$348$	−27.5124	+	6.29387i	−1.47482	+	0.337387i
$349$	6.06729			0.324775			0.162387	−	0.986727i	$-0.448081\pi$
$349$	6.06729			0.324775			0.162387	+	0.986727i	$0.448081\pi$
$350$	10.8815	−	15.2182i	0.581638	−	0.813448i
$351$			10.8529i			0.579283i
$352$	1.13817	−	5.01528i	0.0606647	−	0.267315i
$353$	17.3298	−	30.0161i	0.922371	−	1.59759i	0.126636	−	0.991949i	$-0.459582\pi$
$353$	17.3298	−	30.0161i	0.922371	−	1.59759i	0.795735	−	0.605644i	$-0.207085\pi$
$354$	−28.9316	−	23.0605i	−1.53770	−	1.22565i
$355$	−1.78430	+	0.329902i	−0.0947010	+	0.0175094i
$356$	−8.43431	+	27.3915i	−0.447018	+	1.45175i
$357$	−28.1026	+	25.3402i	−1.48735	+	1.34115i
$358$	−1.96262	−	0.295321i	−0.103728	−	0.0156082i
$359$	4.46664	−	2.57881i	0.235740	−	0.136105i	−0.377477	−	0.926019i	$-0.623208\pi$
$359$	4.46664	−	2.57881i	0.235740	−	0.136105i	0.613217	+	0.789914i	$0.289875\pi$
$360$	−13.1836	+	3.48413i	−0.694839	+	0.183630i
$361$	−8.87752	+	15.3763i	−0.467238	+	0.809280i
$362$	−7.95233	−	20.2475i	−0.417965	−	1.06418i
$363$	23.1009			1.21248
$364$	−17.2206	+	24.5266i	−0.902605	+	1.28554i
$365$	19.1373	+	6.78619i	1.00169	+	0.355206i
$366$	2.29440	+	5.84177i	0.119930	+	0.305354i
$367$	12.5217	+	7.22938i	0.653625	+	0.377371i	0.789844	−	0.613308i	$-0.210162\pi$
$367$	12.5217	+	7.22938i	0.653625	+	0.377371i	−0.136218	+	0.990679i	$0.543495\pi$
$368$	−8.24952	+	3.98284i	−0.430036	+	0.207620i
$369$	−0.304482	+	0.175793i	−0.0158507	+	0.00915141i
$370$	−4.40601	−	2.35082i	−0.229058	−	0.122213i
$371$	−12.9117	−	4.18504i	−0.670341	−	0.217276i
$372$	12.3190	+	3.79321i	0.638708	+	0.196669i
$373$	3.13591	+	5.43156i	0.162372	+	0.281236i	0.935719	−	0.352747i	$-0.114752\pi$
$373$	3.13591	+	5.43156i	0.162372	+	0.281236i	−0.773347	+	0.633983i	$0.781419\pi$
$374$	5.04754	−	6.33263i	0.261002	−	0.327452i
$375$	25.3793	−	0.631584i	1.31058	−	0.0326148i
$376$	27.8833	−	2.11041i	1.43797	−	0.108836i
$377$	−35.1965			−1.81271
$378$	−5.98015	+	3.95574i	−0.307586	+	0.203461i
$379$	−24.4959			−1.25827			−0.629135	−	0.777296i	$-0.716591\pi$
$379$	−24.4959			−1.25827			−0.629135	+	0.777296i	$0.716591\pi$
$380$	−4.95645	−	0.576925i	−0.254260	−	0.0295956i
$381$	−1.53223	+	2.65390i	−0.0784984	+	0.135963i
$382$	24.8483	+	19.8058i	1.27135	+	1.01335i
$383$	−7.48398	+	4.32088i	−0.382413	+	0.220786i	−0.678868	−	0.734261i	$-0.737529\pi$
$383$	−7.48398	+	4.32088i	−0.382413	+	0.220786i	0.296454	+	0.955047i	$0.404196\pi$
$384$	−12.8836	−	22.2259i	−0.657463	−	1.13421i
$385$	0.700523	−	5.33266i	0.0357019	−	0.271778i
$386$	3.48526	−	23.1621i	0.177395	−	1.17892i
$387$	−15.4857	+	8.94069i	−0.787184	+	0.454481i
$388$	14.6510	−	13.6076i	0.743791	−	0.690823i
$389$	8.34342	+	4.81708i	0.423028	+	0.244235i	0.696372	−	0.717681i	$-0.254796\pi$
$389$	8.34342	+	4.81708i	0.423028	+	0.244235i	−0.273344	+	0.961916i	$0.588130\pi$
$390$	−40.6444	+	1.36106i	−2.05811	+	0.0689200i
$391$	−14.4249			−0.729496
$392$	−19.7914	−	0.549241i	−0.999615	−	0.0277409i
$393$			18.5885i			0.937667i
$394$	−8.34144	−	21.2382i	−0.420236	−	1.06996i
$395$	−16.4625	−	19.2920i	−0.828316	−	0.970685i
$396$	−2.87247	+	2.66791i	−0.144347	+	0.134068i
$397$	−13.5336	+	7.81361i	−0.679230	+	0.392154i	−0.799565	−	0.600580i	$-0.794937\pi$
$397$	−13.5336	+	7.81361i	−0.679230	+	0.392154i	0.120335	+	0.992733i	$0.461603\pi$
$398$	30.5241	+	4.59303i	1.53003	+	0.230228i
$399$	6.55579	−	1.39838i	0.328200	−	0.0700068i
$400$	5.75437	+	19.1543i	0.287719	+	0.957715i
$401$	−13.4230	−	23.2493i	−0.670311	−	1.16101i	−0.977816	−	0.209466i	$-0.932827\pi$
$401$	−13.4230	−	23.2493i	−0.670311	−	1.16101i	0.307505	−	0.951546i	$-0.400506\pi$
$402$	17.6725	+	14.0862i	0.881423	+	0.702554i
$403$	13.9209	+	8.03726i	0.693452	+	0.400365i
$404$	−7.75400	−	33.8951i	−0.385776	−	1.68634i
$405$	−22.8021	−	8.08575i	−1.13304	−	0.401784i
$406$	−12.8287	−	19.3940i	−0.636678	−	0.962507i
$407$	−1.43571			−0.0711656
$408$	−3.05303	−	40.3375i	−0.151147	−	1.99701i
$409$	9.54259	+	5.50941i	0.471850	+	0.272423i	0.717014	−	0.697059i	$-0.245508\pi$
$409$	9.54259	+	5.50941i	0.471850	+	0.272423i	−0.245164	+	0.969482i	$0.578842\pi$
$410$	0.272633	+	0.437698i	0.0134644	+	0.0216164i
$411$	−10.0628	+	5.80976i	−0.496362	+	0.286574i
$412$	1.06429	−	3.45643i	0.0524339	−	0.170286i
$413$	9.39878	−	28.9971i	0.462484	−	1.42686i
$414$	6.90534	+	1.03906i	0.339379	+	0.0510672i
$415$	−3.17441	−	17.1691i	−0.155826	−	0.842797i
$416$	−9.48115	−	30.6025i	−0.464852	−	1.50041i
$417$	35.2327	+	20.3416i	1.72536	+	0.996134i
$418$	−1.33526	+	0.524434i	−0.0653098	+	0.0256509i
$419$			5.97226i			0.291764i	0.989302	+	0.145882i	$0.0466020\pi$
$419$			5.97226i			0.291764i	−0.989302	+	0.145882i	$0.953398\pi$
$420$	−15.5644	−	21.8998i	−0.759464	−	1.06860i
$421$		−	20.0534i		−	0.977344i	−0.872468	−	0.488672i	$-0.837482\pi$
$421$		−	20.0534i		−	0.977344i	0.872468	−	0.488672i	$-0.162518\pi$
$422$	5.04905	+	12.8554i	0.245784	+	0.625791i
$423$	−18.4602	−	10.6580i	−0.897564	−	0.518209i
$424$	11.9828	−	8.18276i	0.581934	−	0.397390i
$425$	−4.95354	+	31.1010i	−0.240282	+	1.50862i
$426$	−0.387751	+	2.57689i	−0.0187866	+	0.124851i
$427$	−3.84028	+	3.46279i	−0.185844	+	0.167576i
$428$	2.09700	−	6.81030i	0.101363	−	0.329188i
$429$	−10.1251	+	5.84574i	−0.488845	+	0.282235i
$430$	13.8659	+	22.2610i	0.668674	+	1.07352i
$431$	−21.7452	−	12.5546i	−1.04743	−	0.604734i	−0.125501	−	0.992093i	$-0.540054\pi$
$431$	−21.7452	−	12.5546i	−1.04743	−	0.604734i	−0.921929	+	0.387359i	$0.873387\pi$
$432$	0.565242	−	7.64427i	0.0271952	−	0.367785i
$433$	15.4250			0.741276			0.370638	−	0.928777i	$-0.379139\pi$
$433$	15.4250			0.741276			0.370638	+	0.928777i	$0.379139\pi$
$434$	0.645328	+	10.6002i	0.0309767	+	0.508826i
$435$	10.5460	−	29.7399i	0.505640	−	1.42592i
$436$	3.89345	−	0.890685i	0.186463	−	0.0426561i
$437$	2.21297	+	1.27766i	0.105861	+	0.0611186i
$438$	18.1754	−	22.8028i	0.868455	−	1.08956i
$439$	8.54597	+	14.8021i	0.407877	+	0.706464i	0.994652	−	0.103287i	$-0.0329359\pi$
$439$	8.54597	+	14.8021i	0.407877	+	0.706464i	−0.586775	+	0.809750i	$0.699603\pi$
$440$	4.05178	+	4.07967i	0.193161	+	0.194491i
$441$	12.2228	+	8.85369i	0.582040	+	0.421605i
$442$	7.50653	−	49.8864i	0.357049	−	2.37286i
$443$	−34.3644	+	19.8403i	−1.63270	+	0.942640i	−0.649445	+	0.760409i	$0.724999\pi$
$443$	−34.3644	+	19.8403i	−1.63270	+	0.942640i	−0.983256	+	0.182231i	$0.941668\pi$
$444$	−5.25493	+	4.88071i	−0.249388	+	0.231628i
$445$	−20.8001	−	24.3752i	−0.986019	−	1.15549i
$446$	−23.2925	+	9.14828i	−1.10293	+	0.433184i
$447$		−	16.1774i		−	0.765166i
$448$	13.4068	−	16.3786i	0.633413	−	0.773814i
$449$	−7.32288			−0.345588			−0.172794	−	0.984958i	$-0.555279\pi$
$449$	−7.32288			−0.345588			−0.172794	+	0.984958i	$0.555279\pi$
$450$	4.61161	−	14.5316i	0.217394	−	0.685026i
$451$	0.128387	+	0.0741244i	0.00604552	+	0.00349038i
$452$	−18.4086	−	19.8201i	−0.865870	−	0.932259i
$453$	−5.59865	+	3.23238i	−0.263048	+	0.151871i
$454$	−24.5162	−	3.68902i	−1.15060	−	0.173134i
$455$	−12.8308	−	30.9516i	−0.601519	−	1.45103i
$456$	−3.10445	+	6.45874i	−0.145379	+	0.302458i
$457$	−21.0598	+	12.1589i	−0.985137	+	0.568769i	−0.903817	−	0.427919i	$-0.859247\pi$
$457$	−21.0598	+	12.1589i	−0.985137	+	0.568769i	−0.0813202	+	0.996688i	$0.525914\pi$
$458$	−6.09921	+	7.65206i	−0.284998	+	0.357557i
$459$	6.03497	−	10.4529i	0.281688	−	0.487898i
$460$	1.18415	−	10.1732i	0.0552114	−	0.474330i
$461$	−16.3772			−0.762764			−0.381382	−	0.924417i	$-0.624552\pi$
$461$	−16.3772			−0.762764			−0.381382	+	0.924417i	$0.624552\pi$
$462$	−6.91161	−	3.44844i	−0.321557	−	0.160436i
$463$	−1.64446			−0.0764246			−0.0382123	−	0.999270i	$-0.512166\pi$
$463$	−1.64446			−0.0764246			−0.0382123	+	0.999270i	$0.512166\pi$
$464$	24.7908	+	1.83312i	1.15089	+	0.0851002i
$465$	−10.9624	+	9.35455i	−0.508368	+	0.433807i
$466$	4.83914	+	3.85712i	0.224169	+	0.178678i
$467$	−7.96501	−	13.7958i	−0.368577	−	0.638393i	0.620767	−	0.783995i	$-0.286821\pi$
$467$	−7.96501	−	13.7958i	−0.368577	−	0.638393i	−0.989343	+	0.145602i	$0.953488\pi$
$468$	−7.18692	+	23.3405i	−0.332216	+	1.07891i
$469$	−5.74112	+	17.7125i	−0.265100	+	0.817887i
$470$	−14.7169	+	27.5831i	−0.678841	+	1.27231i
$471$	25.8928	−	14.9492i	1.19308	−	0.688824i
$472$	18.3769	+	26.9110i	0.845865	+	1.23868i
$473$	6.52967	+	3.76991i	0.300235	+	0.173341i
$474$	−33.9007	+	13.3147i	−1.55711	+	0.611567i
$475$	3.51466	−	4.33257i	0.161264	−	0.198792i
$476$	30.2245	−	14.0468i	1.38534	−	0.643833i
$477$	−11.0609			−0.506445
$478$	−18.6306	+	7.31729i	−0.852142	+	0.334685i
$479$	13.4844	−	23.3556i	0.616116	−	1.06714i	−0.374071	−	0.927400i	$-0.622038\pi$
$479$	13.4844	−	23.3556i	0.616116	−	1.06714i	0.990188	−	0.139745i	$-0.0446282\pi$
$480$	28.6990	+	1.15818i	1.30992	+	0.0528637i
$481$	−7.74563	+	4.47194i	−0.353170	+	0.203903i
$482$	3.25907	−	21.6589i	0.148447	−	0.986536i
$483$	2.87022	+	13.4559i	0.130599	+	0.612266i
$484$	−19.4460	−	5.98774i	−0.883908	−	0.272170i
$485$	4.06447	+	21.9830i	0.184558	+	0.998198i
$486$	−16.5886	+	20.8120i	−0.752472	+	0.944050i
$487$	−6.04240	+	10.4658i	−0.273808	+	0.474249i	−0.969834	−	0.243768i	$-0.921616\pi$
$487$	−6.04240	+	10.4658i	−0.273808	+	0.474249i	0.696026	+	0.718017i	$0.254950\pi$
$488$	−0.417203	−	5.51221i	−0.0188859	−	0.249526i
$489$			39.0871i			1.76758i
$490$	12.3783	−	18.3515i	0.559193	−	0.829038i
$491$	18.7339			0.845450			0.422725	−	0.906258i	$-0.361074\pi$
$491$	18.7339			0.845450			0.422725	+	0.906258i	$0.361074\pi$
$492$	0.721904	−	0.165146i	0.0325459	−	0.00744536i
$493$	33.8993	+	19.5718i	1.52675	+	0.881468i
$494$	−5.57021	+	6.98837i	−0.250616	+	0.314422i
$495$	−0.796879	−	4.30999i	−0.0358171	−	0.193720i
$496$	−9.38669	−	6.38612i	−0.421475	−	0.286745i
$497$	−2.09976	+	0.447890i	−0.0941872	+	0.0200906i
$498$	−24.7956	−	3.73105i	−1.11112	−	0.167192i
$499$	12.4806	+	21.6171i	0.558710	+	0.967714i	0.997605	+	0.0691754i	$0.0220368\pi$
$499$	12.4806	+	21.6171i	0.558710	+	0.967714i	−0.438895	+	0.898539i	$0.644630\pi$
$500$	−21.5276	−	6.04665i	−0.962744	−	0.270414i
$501$	−0.562043	−	0.324496i	−0.0251102	−	0.0144974i
$502$	−8.06935	+	3.16929i	−0.360153	+	0.141452i
$503$			13.3328i			0.594481i	0.954803	+	0.297241i	$0.0960663\pi$
$503$			13.3328i			0.594481i	−0.954803	+	0.297241i	$0.903934\pi$
$504$	−15.4806	+	4.54719i	−0.689562	+	0.202548i
$505$	36.6394	+	12.9926i	1.63043	+	0.578161i
$506$	−1.07641	−	2.74066i	−0.0478524	−	0.121837i
$507$	−21.6570	+	37.5110i	−0.961821	+	1.66592i
$508$	1.97769	−	1.83685i	0.0877459	−	0.0814972i
$509$	3.32935	+	5.76661i	0.147571	+	0.255600i	0.930329	−	0.366726i	$-0.119521\pi$
$509$	3.32935	+	5.76661i	0.147571	+	0.255600i	−0.782758	+	0.622326i	$0.786188\pi$
$510$	39.9033	+	21.2903i	1.76695	+	0.942750i
$511$	22.8545	+	7.40778i	1.01102	+	0.327701i
$512$	5.08424	+	22.0488i	0.224694	+	0.974429i
$513$	−1.85169	+	1.06907i	−0.0817542	+	0.0472008i
$514$	5.65995	−	7.10095i	0.249649	−	0.313210i
$515$	2.62468	+	3.07580i	0.115657	+	0.135536i
$516$	36.7155	−	8.39920i	1.61631	−	0.369754i
$517$			8.98804i			0.395294i
$518$	−5.28732	−	2.63803i	−0.232312	−	0.115908i
$519$			43.7457i			1.92022i
$520$	34.5666	+	9.38928i	1.51584	+	0.411747i
$521$	6.14654	+	3.54871i	0.269285	+	0.155472i	0.628563	−	0.777759i	$-0.283644\pi$
$521$	6.14654	+	3.54871i	0.269285	+	0.155472i	−0.359278	+	0.933231i	$0.616977\pi$
$522$	−14.8182	−	11.8111i	−0.648573	−	0.516957i
$523$	−8.40071	−	14.5505i	−0.367337	−	0.636247i	0.621811	−	0.783167i	$-0.286397\pi$
$523$	−8.40071	−	14.5505i	−0.367337	−	0.636247i	−0.989148	+	0.146920i	$0.953064\pi$
$524$	4.81813	−	15.6475i	0.210481	−	0.683564i
$525$	29.9976	−	1.56759i	1.30920	−	0.0684155i
$526$	−9.03436	−	1.35942i	−0.393917	−	0.0592736i
$527$	−8.93858	−	15.4821i	−0.389371	−	0.674410i
$528$	7.43614	−	3.59014i	0.323616	−	0.156241i
$529$	8.87758	−	15.3764i	0.385982	−	0.668540i
$530$	0.542950	+	16.2137i	0.0235842	+	0.704280i
$531$		−	24.8407i		−	1.07800i
$532$	−5.88101	−	0.522118i	−0.254974	−	0.0226367i
$533$	0.923529			0.0400025
$534$	−42.8331	+	16.8230i	−1.85357	+	0.728003i
$535$	5.17148	+	6.06034i	0.223583	+	0.262012i
$536$	−11.2253	−	16.4382i	−0.484858	−	0.710021i
$537$	−1.59336	−	2.75978i	−0.0687585	−	0.119093i
$538$	−2.11264	−	0.317894i	−0.0910824	−	0.0137054i
$539$	0.656142	−	6.32998i	0.0282621	−	0.272652i
$540$	6.87655	+	5.11430i	0.295920	+	0.220084i
$541$	−14.2808	+	8.24501i	−0.613979	+	0.354481i	−0.774521	−	0.632548i	$-0.782009\pi$
$541$	−14.2808	+	8.24501i	−0.613979	+	0.354481i	0.160542	+	0.987029i	$0.448676\pi$
$542$	15.2720	−	19.1602i	0.655987	−	0.823000i
$543$	17.4637	−	30.2481i	0.749441	−	1.29807i
$544$	−7.88546	+	34.7468i	−0.338086	+	1.48976i
$545$	−1.49243	+	4.20869i	−0.0639285	+	0.180280i
$546$	−48.0292	+	2.92396i	−2.05546	+	0.125134i
$547$			4.86184i			0.207877i	0.994584	+	0.103939i	$0.0331446\pi$
$547$			4.86184i			0.207877i	−0.994584	+	0.103939i	$0.966855\pi$
$548$	9.97658	−	2.28229i	0.426179	−	0.0974946i
$549$	−2.10696	+	3.64936i	−0.0899229	+	0.155751i
$550$	−6.27871	+	1.37968i	−0.267725	+	0.0588296i
$551$	−3.46707	−	6.00515i	−0.147702	−	0.255828i
$552$	−13.2567	−	6.37197i	−0.564244	−	0.271209i
$553$	−20.0951	−	22.2858i	−0.854532	−	0.947688i
$554$	16.1575	+	2.43126i	0.686467	+	0.103294i
$555$	−1.45782	−	7.88475i	−0.0618810	−	0.334689i
$556$	−24.3858	−	26.2555i	−1.03419	−	1.11348i
$557$	−11.4750	+	19.8753i	−0.486211	+	0.842142i	−0.999874	−	0.0158495i	$-0.994955\pi$
$557$	−11.4750	+	19.8753i	−0.486211	+	0.842142i	0.513663	+	0.857992i	$0.328288\pi$
$558$	3.16378	+	8.05532i	0.133934	+	0.341009i
$559$	46.9699			1.98662
$560$	7.42543	+	22.4692i	0.313782	+	0.949495i
$561$	13.0026			0.548970
$562$	−8.60931	−	21.9202i	−0.363162	−	0.924648i
$563$	−7.57987	+	13.1287i	−0.319453	+	0.553309i	−0.980374	−	0.197146i	$-0.936833\pi$
$563$	−7.57987	+	13.1287i	−0.319453	+	0.553309i	0.660921	+	0.750456i	$0.270166\pi$
$564$	30.5549	+	32.8976i	1.28659	+	1.38524i
$565$	29.7390	−	5.49848i	1.25113	−	0.231323i
$566$	31.8205	+	4.78810i	1.33751	+	0.201259i
$567$	−27.2311	−	8.82638i	−1.14360	−	0.370673i
$568$	0.994330	−	2.06868i	0.0417212	−	0.0867998i
$569$	0.815340	+	1.41221i	0.0341808	+	0.0592030i	0.882610	−	0.470106i	$-0.155784\pi$
$569$	0.815340	+	1.41221i	0.0341808	+	0.0592030i	−0.848429	+	0.529309i	$0.822451\pi$
$570$	−4.23595	−	6.80058i	−0.177424	−	0.284845i
$571$	17.5826	−	30.4540i	0.735811	−	1.27446i	−0.218556	−	0.975824i	$-0.570135\pi$
$571$	17.5826	−	30.4540i	0.735811	−	1.27446i	0.954367	−	0.298637i	$-0.0965320\pi$
$572$	10.0384	−	2.29642i	0.419725	−	0.0960183i
$573$			51.0202i			2.13140i
$574$	0.336615	+	0.508883i	0.0140501	+	0.0212404i
$575$	8.89271	+	7.21394i	0.370852	+	0.300842i
$576$	6.27777	−	16.0657i	0.261574	−	0.669403i
$577$	7.78749	−	13.4883i	0.324198	−	0.561527i	−0.657152	−	0.753758i	$-0.728239\pi$
$577$	7.78749	−	13.4883i	0.324198	−	0.561527i	0.981350	+	0.192231i	$0.0615724\pi$
$578$	−19.9852	+	25.0734i	−0.831276	+	1.04292i
$579$	32.5699	−	18.8042i	1.35356	−	0.781477i
$580$	−16.5860	+	22.3011i	−0.688695	+	0.926001i
$581$	−4.30973	−	20.2045i	−0.178798	−	0.838225i
$582$	31.7479	+	4.77718i	1.31599	+	0.198021i
$583$	2.33196	+	4.03908i	0.0965801	+	0.167282i
$584$	−21.2102	+	14.4840i	−0.877686	+	0.599352i
$585$	−17.7239	−	20.7702i	−0.732792	−	0.858742i
$586$	−11.4035	+	4.47880i	−0.471073	+	0.185017i
$587$	17.6761			0.729572			0.364786	−	0.931091i	$-0.381142\pi$
$587$	17.6761			0.729572			0.364786	+	0.931091i	$0.381142\pi$
$588$	−19.1172	−	25.3993i	−0.788381	−	1.04745i
$589$			3.16688i			0.130489i
$590$	−36.4129	+	1.21936i	−1.49910	+	0.0502003i
$591$	18.3182	−	31.7281i	0.753511	−	1.30512i
$592$	5.68858	−	2.74642i	0.233799	−	0.112877i
$593$	4.15344	+	7.19397i	0.170561	+	0.295421i	0.938616	−	0.344963i	$-0.112109\pi$
$593$	4.15344	+	7.19397i	0.170561	+	0.295421i	−0.768055	+	0.640384i	$0.778775\pi$
$594$	2.43634	+	0.366602i	0.0999644	+	0.0150419i
$595$	−4.85335	+	36.9457i	−0.198968	+	1.51463i
$596$	−4.19317	+	13.6179i	−0.171759	+	0.557810i
$597$	24.7810	+	42.9220i	1.01422	+	1.75668i
$598$	−14.3438	−	11.4330i	−0.586562	−	0.467530i
$599$	1.64713	+	0.950974i	0.0673001	+	0.0388557i	0.533272	−	0.845944i	$-0.320962\pi$
$599$	1.64713	+	0.950974i	0.0673001	+	0.0388557i	−0.465972	+	0.884799i	$0.654295\pi$
$600$	−18.2909	+	26.3943i	−0.746721	+	1.07754i
$601$			3.61199i			0.147336i	0.997283	+	0.0736680i	$0.0234705\pi$
$601$			3.61199i			0.147336i	−0.997283	+	0.0736680i	$0.976529\pi$
$602$	17.1200	+	25.8814i	0.697759	+	1.05485i
$603$			15.1736i			0.617917i
$604$	5.55068	−	1.26980i	0.225854	−	0.0516674i
$605$	17.3046	−	14.7665i	0.703531	−	0.600345i
$606$	34.7979	−	43.6573i	1.41357	−	1.77346i
$607$	−23.1622	+	13.3727i	−0.940124	+	0.542781i	−0.889999	−	0.455962i	$-0.849295\pi$
$607$	−23.1622	+	13.3727i	−0.940124	+	0.542781i	−0.0501251	+	0.998743i	$0.515962\pi$
$608$	4.28738	−	4.63219i	0.173876	−	0.187860i
$609$	11.5119	−	35.5166i	0.466487	−	1.43921i
$610$	5.45286	+	2.90936i	0.220780	+	0.117797i
$611$	27.9959	+	48.4903i	1.13259	+	1.96171i
$612$	19.9010	−	18.4838i	0.804451	−	0.747163i
$613$	4.16951	−	7.22180i	0.168405	−	0.291686i	−0.769454	−	0.638702i	$-0.779472\pi$
$613$	4.16951	−	7.22180i	0.168405	−	0.291686i	0.937859	+	0.347016i	$0.112805\pi$
$614$	−6.04173	−	15.3829i	−0.243824	−	0.620802i
$615$	−0.276718	+	0.780352i	−0.0111583	+	0.0314668i
$616$	4.92424	+	4.69432i	0.198403	+	0.189140i
$617$			24.3929i			0.982021i	0.871154	+	0.491011i	$0.163372\pi$
$617$			24.3929i			0.982021i	−0.871154	+	0.491011i	$0.836628\pi$
$618$	5.40494	−	2.12283i	0.217419	−	0.0853927i
$619$	−35.5991	−	20.5532i	−1.43085	−	0.826102i	−0.433664	−	0.901075i	$-0.642780\pi$
$619$	−35.5991	−	20.5532i	−1.43085	−	0.826102i	−0.997186	+	0.0749730i	$0.976113\pi$
$620$	11.6526	−	5.03306i	0.467981	−	0.202133i
$621$	−2.19430	−	3.80064i	−0.0880543	−	0.152515i
$622$	−15.8494	−	2.38490i	−0.635503	−	0.0956257i
$623$	−25.3899	−	28.1578i	−1.01723	−	1.12812i
$624$	28.9353	−	42.5307i	1.15834	−	1.70259i
$625$	18.6076	−	16.6961i	0.744303	−	0.667842i
$626$	−22.3916	+	28.0924i	−0.894948	+	1.12280i
$627$	−1.99477	−	1.15168i	−0.0796636	−	0.0459938i
$628$	−25.6710	+	5.87261i	−1.02438	+	0.234343i
$629$	9.94688			0.396608
$630$	4.98466	−	17.3367i	0.198593	−	0.690711i
$631$			35.0578i			1.39563i	0.716279	+	0.697814i	$0.245844\pi$
$631$			35.0578i			1.39563i	−0.716279	+	0.697814i	$0.754156\pi$
$632$	31.9882	−	2.42109i	1.27242	−	0.0963059i
$633$	−11.0880	+	19.2049i	−0.440707	+	0.763327i
$634$	−21.0023	+	26.3494i	−0.834106	+	1.04647i
$635$	0.548650	+	2.96742i	0.0217725	+	0.117759i
$636$	22.2662	+	6.85614i	0.882913	+	0.271864i
$637$	−16.1767	−	36.1939i	−0.640945	−	1.43405i
$638$	−1.18891	+	7.90121i	−0.0470696	+	0.312812i
$639$	−1.51523	+	0.874819i	−0.0599416	+	0.0346073i
$640$	−23.8581	−	8.41369i	−0.943075	−	0.332580i
$641$	−3.51329	+	6.08519i	−0.138766	+	0.240351i	−0.927030	−	0.374987i	$-0.877647\pi$
$641$	−3.51329	+	6.08519i	−0.138766	+	0.240351i	0.788264	+	0.615338i	$0.210980\pi$
$642$	10.6495	−	4.18267i	0.420303	−	0.165077i
$643$	4.42331			0.174438			0.0872191	−	0.996189i	$-0.472202\pi$
$643$	4.42331			0.174438			0.0872191	+	0.996189i	$0.472202\pi$
$644$	1.07166	−	12.0709i	0.0422294	−	0.475661i
$645$	−14.0736	+	39.6881i	−0.554149	+	1.56272i
$646$	9.25095	−	3.63337i	0.363974	−	0.142953i
$647$	0.327418	+	0.189035i	0.0128721	+	0.00743172i	0.506422	−	0.862286i	$-0.330968\pi$
$647$	0.327418	+	0.189035i	0.0128721	+	0.00743172i	−0.493550	+	0.869717i	$0.664301\pi$
$648$	25.2720	−	17.2577i	0.992778	−	0.677946i
$649$	−9.07099	+	5.23714i	−0.356067	+	0.205576i
$650$	−29.5761	+	27.0002i	−1.16007	+	1.05904i
$651$	−12.6636	+	11.4188i	−0.496324	+	0.447536i
$652$	10.1313	−	32.9029i	0.396774	−	1.28858i
$653$	−22.4109	−	38.8168i	−0.877005	−	1.51902i	−0.854611	−	0.519268i	$-0.826205\pi$
$653$	−22.4109	−	38.8168i	−0.877005	−	1.51902i	−0.0223938	−	0.999749i	$-0.507129\pi$
$654$	5.01482	+	3.99716i	0.196095	+	0.156301i
$655$	11.8821	+	13.9244i	0.464273	+	0.544071i
$656$	−0.650492	−	0.0480995i	−0.0253974	−	0.00187797i
$657$	19.5786			0.763832
$658$	−16.5150	+	33.1004i	−0.643820	+	1.29039i
$659$	−24.4018			−0.950557			−0.475279	−	0.879835i	$-0.657653\pi$
$659$	−24.4018			−0.950557			−0.475279	+	0.879835i	$0.657653\pi$
$660$	−1.06740	+	9.17018i	−0.0415484	+	0.356949i
$661$	−14.4940	+	25.1043i	−0.563751	+	0.976445i	0.433414	+	0.901195i	$0.357309\pi$
$661$	−14.4940	+	25.1043i	−0.563751	+	0.976445i	−0.997165	+	0.0752499i	$0.976025\pi$
$662$	−4.14597	+	5.20153i	−0.161138	+	0.202163i
$663$	70.1487	−	40.5004i	2.72435	−	1.57290i
$664$	19.9054	+	9.56773i	0.772480	+	0.371300i
$665$	4.01697	−	5.23809i	0.155771	−	0.203124i
$666$	−4.76168	−	0.716502i	−0.184511	−	0.0277639i
$667$	12.3257	−	7.11626i	0.477254	−	0.275543i
$668$	0.389009	+	0.418836i	0.0150512	+	0.0162052i
$669$	−34.7971	−	20.0901i	−1.34533	−	0.776728i
$670$	22.2423	−	0.744829i	0.859296	−	0.0287753i
$671$	1.77683			0.0685938
$672$	33.9819	+	0.441965i	1.31088	+	0.0170492i
$673$			1.93910i			0.0747467i	0.999301	+	0.0373733i	$0.0118991\pi$
$673$			1.93910i			0.0747467i	−0.999301	+	0.0373733i	$0.988101\pi$
$674$	13.2100	−	5.18833i	0.508831	−	0.199847i
$675$	−8.94800	+	3.42593i	−0.344409	+	0.131864i
$676$	27.9533	−	25.9627i	1.07513	−	0.998564i
$677$	36.9976	−	21.3606i	1.42193	−	0.820954i	0.425470	−	0.904972i	$-0.360109\pi$
$677$	36.9976	−	21.3606i	1.42193	−	0.820954i	0.996464	+	0.0840182i	$0.0267754\pi$
$678$	6.46265	−	42.9491i	0.248197	−	1.64945i
$679$	5.51811	+	25.8695i	0.211766	+	0.992782i
$680$	−28.0715	−	28.2647i	−1.07649	−	1.08390i
$681$	−19.9035	−	34.4739i	−0.762705	−	1.32104i
$682$	2.27451	−	2.85360i	0.0870956	−	0.109270i
$683$	−32.6952	−	18.8766i	−1.25105	−	0.722293i	−0.279730	−	0.960079i	$-0.590245\pi$
$683$	−32.6952	−	18.8766i	−1.25105	−	0.722293i	−0.971318	+	0.237786i	$0.923578\pi$
$684$	−4.69025	+	1.07297i	−0.179336	+	0.0410258i
$685$	−3.82419	+	10.7843i	−0.146115	+	0.412048i
$686$	14.0473	−	22.1059i	0.536330	−	0.844009i
$687$	−15.7117			−0.599440
$688$	−33.0835	−	2.44630i	−1.26130	−	0.0932644i
$689$	25.1618	+	14.5272i	0.958588	+	0.553441i
$690$	13.9584	−	8.69439i	0.531386	−	0.330990i
$691$	17.4603	−	10.0807i	0.664220	−	0.383487i	−0.129663	−	0.991558i	$-0.541390\pi$
$691$	17.4603	−	10.0807i	0.664220	−	0.383487i	0.793883	+	0.608071i	$0.208056\pi$
$692$	11.3388	−	36.8244i	0.431038	−	1.39985i
$693$	−1.08188	−	5.07198i	−0.0410972	−	0.192669i
$694$	1.66758	−	11.0823i	0.0633003	−	0.420677i
$695$	39.3951	−	7.28380i	1.49434	−	0.276290i
$696$	22.5086	+	32.9614i	0.853186	+	1.24940i
$697$	−0.889491	−	0.513548i	−0.0336919	−	0.0194520i
$698$	−3.13677	−	7.98654i	−0.118728	−	0.302295i
$699$			9.93606i			0.375816i
$700$	−25.6578	−	6.45578i	−0.969774	−	0.244005i
$701$			20.2036i			0.763080i	0.924352	+	0.381540i	$0.124606\pi$
$701$			20.2036i			0.763080i	−0.924352	+	0.381540i	$0.875394\pi$
$702$	14.2859	−	5.61089i	0.539187	−	0.211770i
$703$	−1.52599	−	0.881028i	−0.0575536	−	0.0332286i
$704$	−7.19017	+	1.09468i	−0.270990	+	0.0412572i
$705$	−49.3612	+	9.12645i	−1.85905	+	0.343722i
$706$	−48.4704	−	7.29345i	−1.82421	−	0.274493i
$707$	43.7562	+	14.1826i	1.64562	+	0.533392i
$708$	−15.3976	+	50.0056i	−0.578676	+	1.87933i
$709$	−11.7495	+	6.78358i	−0.441262	+	0.254763i	−0.704133	−	0.710068i	$-0.748664\pi$
$709$	−11.7495	+	6.78358i	−0.441262	+	0.254763i	0.262871	+	0.964831i	$0.415331\pi$
$710$	1.35674	+	2.17817i	0.0509175	+	0.0817452i
$711$	−21.1778	−	12.2270i	−0.794231	−	0.458549i
$712$	40.4167	−	3.05902i	1.51468	−	0.114642i
$713$	−6.50010			−0.243431
$714$	47.8849	+	23.8914i	1.79205	+	0.894115i
$715$	−3.84787	+	10.8511i	−0.143902	+	0.405809i
$716$	0.625930	+	2.73613i	0.0233921	+	0.102254i
$717$	−27.8326	−	16.0691i	−1.03943	−	0.600113i
$718$	−5.70380	−	4.54632i	−0.212864	−	0.169667i
$719$	−20.1941	−	34.9772i	−0.753113	−	1.30443i	−0.946307	−	0.323270i	$-0.895218\pi$
$719$	−20.1941	−	34.9772i	−0.753113	−	1.30443i	0.193194	−	0.981161i	$-0.438115\pi$
$720$	11.4021	+	15.5527i	0.424933	+	0.579615i
$721$	3.20385	+	3.55312i	0.119318	+	0.132325i
$722$	24.8299	+	3.73621i	0.924073	+	0.139047i
$723$	30.4561	−	17.5838i	1.13267	−	0.653950i
$724$	−22.5409	+	20.9357i	−0.837728	+	0.778070i
$725$	−11.1105	−	29.0189i	−0.412633	−	1.07774i
$726$	−11.9431	−	30.4084i	−0.443250	−	1.12856i
$727$		−	7.15590i		−	0.265397i	−0.991156	−	0.132699i	$-0.957636\pi$
$727$		−	7.15590i		−	0.265397i	0.991156	−	0.132699i	$-0.0423643\pi$
$728$	41.1880	+	9.98777i	1.52653	+	0.370172i
$729$	−10.2739			−0.380516
$730$	−0.961056	−	28.6993i	−0.0355703	−	1.06221i
$731$	−45.2388	−	26.1186i	−1.67322	−	0.966033i
$732$	6.50348	−	6.04035i	0.240376	−	0.223258i
$733$	−24.8024	+	14.3197i	−0.916097	+	0.528909i	−0.882388	−	0.470523i	$-0.844065\pi$
$733$	−24.8024	+	14.3197i	−0.916097	+	0.528909i	−0.0337089	+	0.999432i	$0.510732\pi$
$734$	3.04258	−	20.2202i	0.112304	−	0.746340i
$735$	35.4297	−	2.82400i	1.30684	−	0.104165i
$736$	9.50768	+	8.79995i	0.350458	+	0.324370i
$737$	5.54089	−	3.19903i	0.204101	−	0.117838i
$738$	0.388817	+	0.309914i	0.0143126	+	0.0114081i
$739$	−16.4535	+	28.4983i	−0.605252	+	1.04833i	0.386760	+	0.922181i	$0.373594\pi$
$739$	−16.4535	+	28.4983i	−0.605252	+	1.04833i	−0.992012	+	0.126147i	$0.959739\pi$
$740$	−0.816551	+	7.01511i	−0.0300170	+	0.257881i
$741$	−14.3490			−0.527124
$742$	1.16642	+	19.1596i	0.0428205	+	0.703372i
$743$	−22.3184			−0.818782			−0.409391	−	0.912359i	$-0.634259\pi$
$743$	−22.3184			−0.818782			−0.409391	+	0.912359i	$0.634259\pi$
$744$	−1.37575	−	18.1768i	−0.0504375	−	0.666395i
$745$	−10.3409	−	12.1183i	−0.378861	−	0.443979i
$746$	5.52845	−	6.93599i	0.202411	−	0.253944i
$747$	−8.41776	−	14.5800i	−0.307990	−	0.533454i
$748$	−10.9454	−	3.37026i	−0.400202	−	0.123229i
$749$	6.31264	+	7.00081i	0.230659	+	0.255804i
$750$	−13.9524	−	33.0810i	−0.509470	−	1.20795i
$751$	−39.6036	+	22.8651i	−1.44516	+	0.834361i	−0.998187	−	0.0601891i	$-0.980830\pi$
$751$	−39.6036	+	22.8651i	−1.44516	+	0.834361i	−0.446968	+	0.894550i	$0.647496\pi$
$752$	−17.1936	−	35.6125i	−0.626984	−	1.29865i
$753$	−12.0549	−	6.95993i	−0.439307	−	0.253634i
$754$	18.1965	+	46.3301i	0.662676	+	1.68724i
$755$	−2.12767	+	6.00009i	−0.0774338	+	0.218366i
$756$	8.29876	+	5.82672i	0.301823	+	0.211916i
$757$	−28.8916			−1.05008			−0.525042	−	0.851076i	$-0.675950\pi$
$757$	−28.8916			−1.05008			−0.525042	+	0.851076i	$0.675950\pi$
$758$	12.6643	+	32.2446i	0.459988	+	1.17118i
$759$	2.36386	−	4.09432i	0.0858027	−	0.148615i
$760$	1.80304	+	6.82257i	0.0654033	+	0.247481i
$761$	27.9186	−	16.1188i	1.01205	−	0.584306i	0.100258	−	0.994962i	$-0.468033\pi$
$761$	27.9186	−	16.1188i	1.01205	−	0.584306i	0.911791	+	0.410655i	$0.134700\pi$
$762$	4.28555	+	0.644857i	0.155249	+	0.0233607i
$763$	−1.62913	+	5.02618i	−0.0589783	+	0.181960i
$764$	13.2244	−	42.9480i	0.478442	−	1.55380i
$765$	5.52093	+	29.8604i	0.199610	+	1.07961i
$766$	9.55687	+	7.61748i	0.345304	+	0.275231i
$767$	−32.6252	+	56.5085i	−1.17803	+	2.04040i
$768$	−22.5958	+	28.4497i	−0.815356	+	1.02659i
$769$			8.89606i			0.320800i	0.987052	+	0.160400i	$0.0512784\pi$
$769$			8.89606i			0.320800i	−0.987052	+	0.160400i	$0.948722\pi$
$770$	−7.38169	+	1.83485i	−0.266018	+	0.0661234i
$771$	14.5802			0.525092
$772$	−32.2908	+	7.38700i	−1.16217	+	0.265864i
$773$	−24.6869	−	14.2530i	−0.887925	−	0.512644i	−0.0146619	−	0.999893i	$-0.504667\pi$
$773$	−24.6869	−	14.2530i	−0.887925	−	0.512644i	−0.873263	+	0.487249i	$0.838001\pi$
$774$	19.7749	+	15.7620i	0.710795	+	0.566552i
$775$	−2.23216	+	14.0147i	−0.0801815	+	0.503423i
$776$	−25.4866	−	12.2504i	−0.914915	−	0.439763i
$777$	−1.97920	−	9.27874i	−0.0710035	−	0.332873i
$778$	2.02733	−	13.4731i	0.0726832	−	0.483033i
$779$	0.0909733	+	0.157570i	0.00325946	+	0.00564554i
$780$	22.8046	+	52.7977i	0.816536	+	1.89046i
$781$	0.638909	+	0.368874i	0.0228620	+	0.0131994i
$782$	7.45760	+	18.9878i	0.266683	+	0.679003i
$783$			11.9090i			0.425593i
$784$	9.50909	+	26.3359i	0.339610	+	0.940566i
$785$	9.84011	−	27.7494i	0.351209	−	0.990419i
$786$	24.4686	−	9.61020i	0.872764	−	0.342784i
$787$	21.7112	−	37.6050i	0.773922	−	1.34047i	−0.161477	−	0.986877i	$-0.551626\pi$
$787$	21.7112	−	37.6050i	0.773922	−	1.34047i	0.935398	−	0.353595i	$-0.115041\pi$
$788$	−23.6439	+	21.9601i	−0.842278	+	0.782297i
$789$	−7.33456	−	12.7038i	−0.261117	−	0.452269i
$790$	−16.8835	+	31.6438i	−0.600688	+	1.12584i
$791$	34.9968	−	7.46500i	1.24434	−	0.265425i
$792$	4.99690	+	2.40181i	0.177557	+	0.0853445i
$793$	9.58597	−	5.53446i	0.340408	−	0.196535i
$794$	17.2821	+	13.7750i	0.613317	+	0.488856i
$795$	−19.8142	+	16.9081i	−0.702739	+	0.599670i
$796$	−9.73491	−	42.5542i	−0.345045	−	1.50829i
$797$			11.3329i			0.401432i	0.979649	+	0.200716i	$0.0643268\pi$
$797$			11.3329i			0.401432i	−0.979649	+	0.200716i	$0.935673\pi$
$798$	−5.23005	−	7.90660i	−0.185142	−	0.279890i
$799$		−	62.2708i		−	2.20298i
$800$	22.2383	−	17.4773i	0.786243	−	0.617917i
$801$	−26.7579	−	15.4487i	−0.945444	−	0.545853i
$802$	−23.6640	+	29.6888i	−0.835604	+	1.04835i
$803$	−4.12772	−	7.14942i	−0.145664	−	0.252298i
$804$	9.40539	−	30.5452i	0.331702	−	1.07725i
$805$	10.7513	+	8.24494i	0.378934	+	0.290596i
$806$	3.38258	−	22.4797i	0.119146	−	0.791815i
$807$	−1.71515	−	2.97073i	−0.0603762	−	0.104575i
$808$	−40.6082	+	27.7304i	−1.42859	+	0.975553i
$809$	−27.3202	+	47.3199i	−0.960526	+	1.66368i	−0.239343	+	0.970935i	$0.576932\pi$
$809$	−27.3202	+	47.3199i	−0.960526	+	1.66368i	−0.721183	+	0.692745i	$0.756401\pi$
$810$	1.14510	+	34.1953i	0.0402347	+	1.20150i
$811$		−	34.1338i		−	1.19860i	−0.800525	−	0.599300i	$-0.795446\pi$
$811$		−	34.1338i		−	1.19860i	0.800525	−	0.599300i	$-0.204554\pi$
$812$	−18.8964	+	26.9134i	−0.663134	+	0.944475i
$813$	39.3410			1.37975
$814$	0.742257	+	1.88986i	0.0260161	+	0.0662397i
$815$	24.9852	+	29.2796i	0.875193	+	1.02562i
$816$	−51.5190	+	24.8731i	−1.80352	+	0.870734i
$817$	4.62683	+	8.01390i	0.161872	+	0.280371i
$818$	2.31870	−	15.4095i	0.0810716	−	0.538781i
$819$	−21.6349	−	23.9934i	−0.755984	−	0.838398i
$820$	0.435203	−	0.585163i	0.0151979	−	0.0204348i
$821$	21.4373	−	12.3768i	0.748168	−	0.431955i	−0.0768637	−	0.997042i	$-0.524491\pi$
$821$	21.4373	−	12.3768i	0.748168	−	0.431955i	0.825032	+	0.565087i	$0.191157\pi$
$822$	12.8500	+	10.2423i	0.448194	+	0.357241i
$823$	−12.2123	+	21.1523i	−0.425694	+	0.737324i	−0.996485	−	0.0837714i	$-0.973303\pi$
$823$	−12.2123	+	21.1523i	−0.425694	+	0.737324i	0.570791	+	0.821096i	$0.306637\pi$
$824$	−5.10002	+	0.386006i	−0.177668	+	0.0134471i
$825$	−8.01591	−	6.50266i	−0.279078	−	0.226394i
$826$	−43.0288	+	2.61954i	−1.49716	+	0.0911456i
$827$			20.7945i			0.723096i	0.932353	+	0.361548i	$0.117752\pi$
$827$			20.7945i			0.723096i	−0.932353	+	0.361548i	$0.882248\pi$
$828$	−2.20229	−	9.62687i	−0.0765348	−	0.334557i
$829$	21.8195	−	37.7924i	0.757822	−	1.31259i	−0.186137	−	0.982524i	$-0.559597\pi$
$829$	21.8195	−	37.7924i	0.757822	−	1.31259i	0.943959	−	0.330062i	$-0.107070\pi$
$830$	−20.9590	+	13.0549i	−0.727496	+	0.453143i
$831$	13.1175	+	22.7202i	0.455041	+	0.788154i
$832$	−35.3812	+	28.3017i	−1.22662	+	0.981184i
$833$	−4.54588	+	43.8553i	−0.157505	+	1.51950i
$834$	8.56103	−	56.8943i	0.296444	−	1.97009i
$835$	−0.628441	+	0.116193i	−0.0217481	+	0.00402103i
$836$	1.38065	+	1.48651i	0.0477508	+	0.0514120i
$837$	2.71947	−	4.71026i	0.0939986	−	0.162810i
$838$	7.86144	−	3.08763i	0.271569	−	0.106661i
$839$	−25.4129			−0.877351			−0.438675	−	0.898646i	$-0.644552\pi$
$839$	−25.4129			−0.877351			−0.438675	+	0.898646i	$0.644552\pi$
$840$	−20.7806	+	31.8099i	−0.716997	+	1.09755i
$841$	−9.62161			−0.331779
$842$	−26.3968	+	10.3675i	−0.909695	+	0.357289i
$843$	18.9065	−	32.7470i	0.651174	−	1.12787i
$844$	14.3116	−	13.2924i	0.492624	−	0.457543i
$845$	7.75479	+	41.9425i	0.266773	+	1.44287i
$846$	−4.48554	+	29.8097i	−0.154216	+	1.02488i
$847$	19.9900	−	18.0250i	0.686863	−	0.619346i
$848$	−16.9662	−	11.5428i	−0.582623	−	0.396380i
$849$	25.8335	+	44.7449i	0.886603	+	1.53564i
$850$	43.5001	−	9.55865i	1.49204	−	0.327859i
$851$	1.80833	−	3.13212i	0.0619888	−	0.107368i
$852$	3.59250	−	0.821837i	0.123077	−	0.0281557i
$853$		−	3.10531i		−	0.106324i	−0.998586	−	0.0531619i	$-0.983070\pi$
$853$		−	3.10531i		−	0.106324i	0.998586	−	0.0531619i	$-0.0169299\pi$
$854$	6.54357	+	3.26482i	0.223916	+	0.111720i
$855$	1.79785	−	5.07000i	0.0614853	−	0.173390i
$856$	−10.0487	+	0.760558i	−0.343458	+	0.0259953i
$857$	11.1563	−	19.3233i	0.381093	−	0.660072i	−0.610126	−	0.792304i	$-0.708881\pi$
$857$	11.1563	−	19.3233i	0.381093	−	0.660072i	0.991219	+	0.132233i	$0.0422146\pi$
$858$	12.9296	+	10.3057i	0.441408	+	0.351832i
$859$	18.2253	−	10.5224i	0.621838	−	0.359018i	−0.155746	−	0.987797i	$-0.549778\pi$
$859$	18.2253	−	10.5224i	0.621838	−	0.359018i	0.777584	+	0.628779i	$0.216445\pi$
$860$	22.1341	−	29.7609i	0.754766	−	1.01484i
$861$	−0.302064	+	0.931928i	−0.0102943	+	0.0317600i
$862$	−5.28376	+	35.1145i	−0.179966	+	1.19600i
$863$	17.4205	+	30.1732i	0.593001	+	1.02711i	0.993826	+	0.110953i	$0.0353902\pi$
$863$	17.4205	+	30.1732i	0.593001	+	1.02711i	−0.400825	+	0.916155i	$0.631277\pi$
$864$	−10.3546	+	3.20802i	−0.352270	+	0.109139i
$865$	27.9630	+	32.7692i	0.950772	+	1.11419i
$866$	−7.97465	−	20.3043i	−0.270989	−	0.689967i
$867$	−51.4825			−1.74844
$868$	13.6197	−	6.32973i	0.462283	−	0.214845i
$869$			10.3112i			0.349785i
$870$	−44.5997	+	1.49351i	−1.51207	+	0.0506348i
$871$	19.9286	−	34.5174i	0.675256	−	1.16958i
$872$	−3.18533	−	4.66457i	−0.107869	−	0.157962i
$873$	10.7780	+	18.6680i	0.364779	+	0.631816i
$874$	0.537718	−	3.57353i	0.0181886	−	0.120876i
$875$	21.4687	−	20.3493i	0.725776	−	0.687931i
$876$	−39.4126	−	12.1358i	−1.33163	−	0.410031i
$877$	−19.9212	−	34.5045i	−0.672691	−	1.16513i	−0.977138	−	0.212605i	$-0.931805\pi$
$877$	−19.9212	−	34.5045i	−0.672691	−	1.16513i	0.304448	−	0.952529i	$-0.401528\pi$
$878$	15.0661	−	18.9019i	0.508456	−	0.637908i
$879$	−17.0359	−	9.83567i	−0.574606	−	0.331749i
$880$	3.27542	−	7.44263i	0.110414	−	0.250891i
$881$		−	32.2170i		−	1.08542i	−0.839921	−	0.542709i	$-0.817399\pi$
$881$		−	32.2170i		−	1.08542i	0.839921	−	0.542709i	$-0.182601\pi$
$882$	5.33519	−	20.6666i	0.179645	−	0.695880i
$883$		−	57.8919i		−	1.94822i	−0.226080	−	0.974109i	$-0.572591\pi$
$883$		−	57.8919i		−	1.94822i	0.226080	−	0.974109i	$-0.427409\pi$
$884$	−69.5477	+	15.9101i	−2.33914	+	0.535113i
$885$	−37.9724	−	44.4989i	−1.27643	−	1.49582i
$886$	43.8825	+	34.9774i	1.47426	+	1.17509i
$887$	−7.94580	+	4.58751i	−0.266794	+	0.154033i	−0.627430	−	0.778673i	$-0.715893\pi$
$887$	−7.94580	+	4.58751i	−0.266794	+	0.154033i	0.360636	+	0.932707i	$0.382560\pi$
$888$	9.14138	+	4.39389i	0.306765	+	0.147449i
$889$	0.744873	+	3.49205i	0.0249822	+	0.117120i
$890$	−21.3321	+	39.9816i	−0.715053	+	1.34019i
$891$	4.91818	+	8.51854i	0.164765	+	0.285382i
$892$	24.0842	+	25.9309i	0.806400	+	0.868230i
$893$	−5.51553	+	9.55319i	−0.184570	+	0.319685i
$894$	−21.2948	+	8.36367i	−0.712203	+	0.279723i
$895$	−2.95766	−	1.04880i	−0.0988637	−	0.0350577i
$896$	−28.4908	−	9.18010i	−0.951811	−	0.306686i
$897$		−	29.4517i		−	0.983365i
$898$	3.78590	+	9.63930i	0.126337	+	0.321667i
$899$	15.2756	+	8.81940i	0.509471	+	0.294143i
$900$	−21.5125	+	1.44240i	−0.717084	+	0.0480799i
$901$	−16.1563	−	27.9835i	−0.538244	−	0.932266i
$902$	0.0311962	−	0.207322i	0.00103872	−	0.00690305i
$903$	−15.3627	+	47.3971i	−0.511240	+	1.57728i
$904$	−16.5725	+	34.4787i	−0.551194	+	1.14674i
$905$	−6.25330	−	33.8215i	−0.207867	−	1.12427i
$906$	7.14935	+	5.69852i	0.237521	+	0.189321i
$907$	9.48163	+	5.47422i	0.314832	+	0.181769i	0.649087	−	0.760714i	$-0.275151\pi$
$907$	9.48163	+	5.47422i	0.314832	+	0.181769i	−0.334254	+	0.942483i	$0.608484\pi$
$908$	7.81885	+	34.1786i	0.259478	+	1.13426i
$909$	37.4842			1.24327
$910$	−34.1089	+	32.8914i	−1.13070	+	1.09034i
$911$			10.3120i			0.341653i	0.985301	+	0.170827i	$0.0546438\pi$
$911$			10.3120i			0.341653i	−0.985301	+	0.170827i	$0.945356\pi$
$912$	10.1068	+	0.747330i	0.334670	+	0.0247466i
$913$	−3.54941	+	6.14776i	−0.117468	+	0.203461i
$914$	26.8929	+	21.4355i	0.889539	+	0.709023i
$915$	1.80419	+	9.75814i	0.0596448	+	0.322594i
$916$	13.2259	+	4.07247i	0.436995	+	0.134558i
$917$	14.5041	+	16.0852i	0.478967	+	0.531181i
$918$	−16.8794	−	2.53989i	−0.557105	−	0.0838289i
$919$	−42.1983	+	24.3632i	−1.39199	+	0.803669i	−0.993536	−	0.113518i	$-0.963788\pi$
$919$	−42.1983	+	24.3632i	−1.39199	+	0.803669i	−0.398459	+	0.917186i	$0.630455\pi$
$920$	−14.0035	+	3.70079i	−0.461682	+	0.122012i
$921$	13.2679	−	22.9808i	0.437194	−	0.757242i
$922$	8.46697	+	21.5578i	0.278845	+	0.709968i
$923$	4.59587			0.151275
$924$	−0.965998	+	10.8808i	−0.0317790	+	0.357951i
$925$	−6.13210	−	4.97448i	−0.201622	−	0.163560i
$926$	0.850181	+	2.16465i	0.0279387	+	0.0711348i
$927$	3.37647	+	1.94941i	0.110898	+	0.0640270i
$928$	−10.4038	−	33.5805i	−0.341521	−	1.10234i
$929$	30.8399	−	17.8054i	1.01182	−	0.584177i	0.100099	−	0.994977i	$-0.468084\pi$
$929$	30.8399	−	17.8054i	1.01182	−	0.584177i	0.911725	+	0.410801i	$0.134751\pi$
$930$	17.9811	+	9.59380i	0.589625	+	0.314593i
$931$	4.58181	−	6.32535i	0.150163	−	0.207305i
$932$	2.57542	−	8.36401i	0.0843606	−	0.273972i
$933$	−12.8674	−	22.2869i	−0.421259	−	0.729642i
$934$	−14.0419	+	17.6169i	−0.459465	+	0.576443i
$935$	9.74005	−	8.31150i	0.318534	−	0.271815i
$936$	34.4393	−	2.60661i	1.12568	−	0.0851996i
$937$	1.16006			0.0378974			0.0189487	−	0.999820i	$-0.493968\pi$
$937$	1.16006			0.0378974			0.0189487	+	0.999820i	$0.493968\pi$
$938$	26.2836	−	1.60011i	0.858189	−	0.0522455i
$939$	−57.6814			−1.88236
$940$	43.9170	+	5.11189i	1.43241	+	0.166731i
$941$	−4.49867	+	7.79192i	−0.146652	+	0.254009i	−0.929988	−	0.367589i	$-0.880183\pi$
$941$	−4.49867	+	7.79192i	−0.146652	+	0.254009i	0.783336	+	0.621599i	$0.213517\pi$
$942$	−33.0646	−	26.3547i	−1.07730	−	0.858683i
$943$	−0.323417	+	0.186725i	−0.0105319	+	0.00608060i
$944$	25.9228	−	38.1028i	0.843716	−	1.24014i
$945$	−10.4727	+	4.34141i	−0.340677	+	0.141226i
$946$	1.58661	−	10.5442i	0.0515852	−	0.342822i
$947$	−19.2076	+	11.0895i	−0.624165	+	0.360362i	−0.778489	−	0.627659i	$-0.784013\pi$
$947$	−19.2076	+	11.0895i	−0.624165	+	0.360362i	0.154324	+	0.988020i	$0.450680\pi$
$948$	35.0531	+	37.7407i	1.13847	+	1.22576i
$949$	−44.5380	−	25.7140i	−1.44576	−	0.834712i
$950$	−7.52014	−	2.38652i	−0.243986	−	0.0774290i
$951$	−54.1024			−1.75439
$952$	−34.1161	−	32.5231i	−1.10571	−	1.05408i
$953$		−	31.9975i		−	1.03650i	−0.855229	−	0.518250i	$-0.826584\pi$
$953$		−	31.9975i		−	1.03650i	0.855229	−	0.518250i	$-0.173416\pi$
$954$	5.71846	+	14.5598i	0.185142	+	0.471391i
$955$	32.6131	+	38.2185i	1.05533	+	1.23672i
$956$	19.2639	+	20.7409i	0.623038	+	0.670809i
$957$	−11.1104	+	6.41461i	−0.359149	+	0.207355i
$958$	−37.7150	−	5.67506i	−1.21851	−	0.183353i
$959$	−4.17447	+	12.8791i	−0.134801	+	0.415887i
$960$	−13.3127	−	38.3760i	−0.429666	−	1.23858i
$961$	11.4721	+	19.8703i	0.370068	+	0.640977i
$962$	9.89100	+	7.88380i	0.318899	+	0.254184i
$963$	6.65276	+	3.84097i	0.214382	+	0.123774i
$964$	−30.1951	+	6.90758i	−0.972519	+	0.222478i
$965$	12.3776	−	34.9052i	0.398449	−	1.12364i
$966$	16.2285	−	10.7348i	0.522143	−	0.345387i
$967$	40.0936			1.28932			0.644662	−	0.764468i	$-0.276998\pi$
$967$	40.0936			1.28932			0.644662	+	0.764468i	$0.276998\pi$
$968$	2.17168	+	28.6929i	0.0698004	+	0.922225i
$969$	13.8202	+	7.97908i	0.443968	+	0.256325i
$970$	26.8355	−	16.7153i	0.861637	−	0.536696i
$971$	−26.9006	+	15.5311i	−0.863282	+	0.498416i	−0.865110	−	0.501582i	$-0.832751\pi$
$971$	−26.9006	+	15.5311i	−0.863282	+	0.498416i	0.00182815	+	0.999998i	$0.499418\pi$
$972$	35.9716	+	11.0762i	1.15379	+	0.355271i
$973$	46.3600	−	9.88882i	1.48623	−	0.317021i
$974$	16.9002	+	2.54302i	0.541519	+	0.0814836i
$975$	−63.5001	−	10.1138i	−2.03363	−	0.323902i
$976$	−7.04017	+	3.39897i	−0.225350	+	0.108798i
$977$	−48.2743	−	27.8712i	−1.54443	−	0.891678i	−0.998551	−	0.0538151i	$-0.982862\pi$
$977$	−48.2743	−	27.8712i	−1.54443	−	0.891678i	−0.545881	−	0.837863i	$-0.683805\pi$
$978$	51.4514	−	20.2079i	1.64523	−	0.646177i
$979$			13.0281i			0.416380i
$980$	−30.5561	−	6.80615i	−0.976079	−	0.217414i
$981$			4.30573i			0.137471i
$982$	−9.68536	−	24.6599i	−0.309072	−	0.786930i
$983$	−39.4861	−	22.7973i	−1.25941	−	0.727122i	−0.286452	−	0.958095i	$-0.592476\pi$
$983$	−39.4861	−	22.7973i	−1.25941	−	0.727122i	−0.972960	+	0.230973i	$0.925809\pi$
$984$	−0.590608	−	0.864881i	−0.0188279	−	0.0275714i
$985$	−6.55927	−	35.4764i	−0.208996	−	1.13037i
$986$	8.23702	−	54.7411i	0.262320	−	1.74331i
$987$	−58.0881	+	12.3905i	−1.84896	+	0.394394i
$988$	12.0788	+	3.71925i	0.384277	+	0.118325i
$989$	−16.4487	+	9.49669i	−0.523040	+	0.301977i
$990$	−5.26137	+	3.27720i	−0.167217	+	0.104156i
$991$	−30.9667	−	17.8786i	−0.983689	−	0.567933i	−0.0803071	−	0.996770i	$-0.525590\pi$
$991$	−30.9667	−	17.8786i	−0.983689	−	0.567933i	−0.903382	+	0.428837i	$0.858923\pi$
$992$	−3.55333	+	15.6575i	−0.112818	+	0.497128i
$993$	−10.6801			−0.338924
$994$	1.67514	+	2.53242i	0.0531322	+	0.0803233i
$995$	45.9996	+	16.3117i	1.45829	+	0.517117i
$996$	7.90795	+	34.5680i	0.250573	+	1.09533i
$997$	9.48099	+	5.47385i	0.300266	+	0.173359i	0.642562	−	0.766233i	$-0.277871\pi$
$997$	9.48099	+	5.47385i	0.300266	+	0.173359i	−0.342296	+	0.939592i	$0.611205\pi$
$998$	22.0027	−	27.6045i	0.696483	−	0.873807i
$999$	1.51312	+	2.62079i	0.0478728	+	0.0829182i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.ba.b.59.15	yes	80
4.3	odd	2		1120.2.bq.b.1039.8		80
5.4	even	2	inner	280.2.ba.b.59.26	yes	80
7.5	odd	6	inner	280.2.ba.b.19.13	✓	80
8.3	odd	2	inner	280.2.ba.b.59.28	yes	80
8.5	even	2		1120.2.bq.b.1039.7		80
20.19	odd	2		1120.2.bq.b.1039.34		80
28.19	even	6		1120.2.bq.b.719.33		80
35.19	odd	6	inner	280.2.ba.b.19.28	yes	80
40.19	odd	2	inner	280.2.ba.b.59.13	yes	80
40.29	even	2		1120.2.bq.b.1039.33		80
56.5	odd	6		1120.2.bq.b.719.34		80
56.19	even	6	inner	280.2.ba.b.19.26	yes	80
140.19	even	6		1120.2.bq.b.719.7		80
280.19	even	6	inner	280.2.ba.b.19.15	yes	80
280.229	odd	6		1120.2.bq.b.719.8		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.13	✓	80	7.5	odd	6	inner
280.2.ba.b.19.15	yes	80	280.19	even	6	inner
280.2.ba.b.19.26	yes	80	56.19	even	6	inner
280.2.ba.b.19.28	yes	80	35.19	odd	6	inner
280.2.ba.b.59.13	yes	80	40.19	odd	2	inner
280.2.ba.b.59.15	yes	80	1.1	even	1	trivial
280.2.ba.b.59.26	yes	80	5.4	even	2	inner
280.2.ba.b.59.28	yes	80	8.3	odd	2	inner
1120.2.bq.b.719.7		80	140.19	even	6
1120.2.bq.b.719.8		80	280.229	odd	6
1120.2.bq.b.719.33		80	28.19	even	6
1120.2.bq.b.719.34		80	56.5	odd	6
1120.2.bq.b.1039.7		80	8.5	even	2
1120.2.bq.b.1039.8		80	4.3	odd	2
1120.2.bq.b.1039.33		80	40.29	even	2
1120.2.bq.b.1039.34		80	20.19	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.ba (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.516996 - 1.31633i) q^{2} +(1.13535 - 1.96648i) q^{3} +(-1.46543 + 1.36107i) q^{4} +(-0.406539 - 2.19880i) q^{5} +(-3.17551 - 0.477826i) q^{6} +(-0.551936 - 2.58754i) q^{7} +(2.54924 + 1.22531i) q^{8} +(-1.07804 - 1.86722i) q^{9} +O(q^{10})\)	\(q+(-0.516996 - 1.31633i) q^{2} +(1.13535 - 1.96648i) q^{3} +(-1.46543 + 1.36107i) q^{4} +(-0.406539 - 2.19880i) q^{5} +(-3.17551 - 0.477826i) q^{6} +(-0.551936 - 2.58754i) q^{7} +(2.54924 + 1.22531i) q^{8} +(-1.07804 - 1.86722i) q^{9} +(-2.68416 + 1.67191i) q^{10} +(-0.454564 + 0.787328i) q^{11} +(1.01275 + 4.42704i) q^{12} +5.66349i q^{13} +(-3.12070 + 2.06428i) q^{14} +(-4.78547 - 1.69696i) q^{15} +(0.294968 - 3.98911i) q^{16} +(3.14931 - 5.45476i) q^{17} +(-1.90053 + 2.38440i) q^{18} +(-0.966292 + 0.557889i) q^{19} +(3.58848 + 2.66886i) q^{20} +(-5.71500 - 1.85239i) q^{21} +(1.27139 + 0.191309i) q^{22} +(-1.14508 - 1.98334i) q^{23} +(5.30384 - 3.62187i) q^{24} +(-4.66945 + 1.78780i) q^{25} +(7.45501 - 2.92801i) q^{26} +1.91628 q^{27} +(4.33065 + 3.04063i) q^{28} +6.21463i q^{29} +(0.240322 + 7.17656i) q^{30} +(1.41914 - 2.45801i) q^{31} +(-5.40347 + 1.67408i) q^{32} +(1.03218 + 1.78779i) q^{33} +(-8.80842 - 1.32542i) q^{34} +(-5.46510 + 2.26553i) q^{35} +(4.12122 + 1.26899i) q^{36} +(0.789609 + 1.36764i) q^{37} +(1.23393 + 0.983529i) q^{38} +(11.1372 + 6.43005i) q^{39} +(1.65786 - 6.10340i) q^{40} -0.163067i q^{41} +(0.516282 + 8.48048i) q^{42} -8.29346i q^{43} +(-0.405478 - 1.77247i) q^{44} +(-3.66738 + 3.12950i) q^{45} +(-2.01872 + 2.53268i) q^{46} +(8.56191 - 4.94322i) q^{47} +(-7.50963 - 5.10909i) q^{48} +(-6.39073 + 2.85631i) q^{49} +(4.76741 + 5.22224i) q^{50} +(-7.15113 - 12.3861i) q^{51} +(-7.70842 - 8.29945i) q^{52} +(2.56505 - 4.44280i) q^{53} +(-0.990712 - 2.52246i) q^{54} +(1.91598 + 0.679417i) q^{55} +(1.76354 - 7.27255i) q^{56} +2.53360i q^{57} +(8.18048 - 3.21294i) q^{58} +(9.97768 + 5.76061i) q^{59} +(9.32245 - 4.02660i) q^{60} +(-0.977217 - 1.69259i) q^{61} +(-3.96924 - 0.597261i) q^{62} +(-4.23650 + 3.82006i) q^{63} +(4.99721 + 6.24723i) q^{64} +(12.4529 - 2.30243i) q^{65} +(1.81968 - 2.28296i) q^{66} +(-6.09472 - 3.51879i) q^{67} +(2.80923 + 12.2800i) q^{68} -5.20028 q^{69} +(5.80762 + 6.02259i) q^{70} -0.811490i q^{71} +(-0.460247 - 6.08093i) q^{72} +(-4.54031 + 7.86404i) q^{73} +(1.39204 - 1.74645i) q^{74} +(-1.78579 + 11.2122i) q^{75} +(0.656706 - 2.13274i) q^{76} +(2.28813 + 0.741649i) q^{77} +(2.70617 - 17.9845i) q^{78} +(9.82237 - 5.67095i) q^{79} +(-8.89117 + 0.973152i) q^{80} +(5.40978 - 9.37001i) q^{81} +(-0.214649 + 0.0843050i) q^{82} +7.80839 q^{83} +(10.8962 - 5.06397i) q^{84} +(-13.2742 - 4.70713i) q^{85} +(-10.9169 + 4.28769i) q^{86} +(12.2210 + 7.05578i) q^{87} +(-2.12352 + 1.45010i) q^{88} +(12.4104 - 7.16517i) q^{89} +(6.01546 + 3.20954i) q^{90} +(14.6545 - 3.12589i) q^{91} +(4.37750 + 1.34791i) q^{92} +(-3.22243 - 5.58142i) q^{93} +(-10.9334 - 8.71464i) q^{94} +(1.61952 + 1.89788i) q^{95} +(-2.84277 + 12.5265i) q^{96} -9.99774 q^{97} +(7.06383 + 6.93559i) q^{98} +1.96016 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) \) 80 * q + 6 * q^4 - 52 * q^9	\( 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) \) 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

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