LMFDB - Embedded newform 280.2.ba.b.59.2

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			59.2
Character	$\chi$	$=$	280.59
Dual form			280.2.ba.b.19.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39533 - 0.230335i) q^{2} +(-0.929162 + 1.60936i) q^{3} +(1.89389 + 0.642786i) q^{4} +(2.18875 + 0.457553i) q^{5} +(1.66718 - 2.03156i) q^{6} +(1.10610 + 2.40345i) q^{7} +(-2.49455 - 1.33313i) q^{8} +(-0.226682 - 0.392626i) q^{9} +O(q^{10})$	\(q+(-1.39533 - 0.230335i) q^{2} +(-0.929162 + 1.60936i) q^{3} +(1.89389 + 0.642786i) q^{4} +(2.18875 + 0.457553i) q^{5} +(1.66718 - 2.03156i) q^{6} +(1.10610 + 2.40345i) q^{7} +(-2.49455 - 1.33313i) q^{8} +(-0.226682 - 0.392626i) q^{9} +(-2.94864 - 1.14258i) q^{10} +(1.61069 - 2.78980i) q^{11} +(-2.79420 + 2.45069i) q^{12} -0.668981i q^{13} +(-0.989775 - 3.60837i) q^{14} +(-2.77007 + 3.09734i) q^{15} +(3.17365 + 2.43473i) q^{16} +(1.62295 - 2.81103i) q^{17} +(0.225862 + 0.600055i) q^{18} +(-5.77054 + 3.33162i) q^{19} +(3.85116 + 2.27346i) q^{20} +(-4.89574 - 0.453085i) q^{21} +(-2.89004 + 3.52170i) q^{22} +(4.41240 + 7.64251i) q^{23} +(4.46331 - 2.77592i) q^{24} +(4.58129 + 2.00294i) q^{25} +(-0.154089 + 0.933449i) q^{26} -4.73247 q^{27} +(0.549930 + 5.26285i) q^{28} +3.17360i q^{29} +(4.57859 - 3.68377i) q^{30} +(-2.58684 + 4.48053i) q^{31} +(-3.86749 - 4.12826i) q^{32} +(2.99319 + 5.18435i) q^{33} +(-2.91203 + 3.54850i) q^{34} +(1.32127 + 5.76665i) q^{35} +(-0.176938 - 0.889299i) q^{36} +(-1.15890 - 2.00727i) q^{37} +(8.81919 - 3.31956i) q^{38} +(1.07663 + 0.621591i) q^{39} +(-4.84998 - 4.05928i) q^{40} -9.34903i q^{41} +(6.72681 + 1.75986i) q^{42} -6.84531i q^{43} +(4.84372 - 4.24825i) q^{44} +(-0.316505 - 0.963080i) q^{45} +(-4.39643 - 11.6802i) q^{46} +(3.12812 - 1.80602i) q^{47} +(-6.86719 + 2.84528i) q^{48} +(-4.55310 + 5.31689i) q^{49} +(-5.93106 - 3.85000i) q^{50} +(3.01597 + 5.22381i) q^{51} +(0.430011 - 1.26698i) q^{52} +(0.0130049 - 0.0225252i) q^{53} +(6.60336 + 1.09005i) q^{54} +(4.80189 - 5.36921i) q^{55} +(0.444882 - 7.47008i) q^{56} -12.3825i q^{57} +(0.730989 - 4.42822i) q^{58} +(0.0160236 + 0.00925120i) q^{59} +(-7.23714 + 4.08547i) q^{60} +(0.897835 + 1.55510i) q^{61} +(4.64151 - 5.65598i) q^{62} +(0.692921 - 0.979101i) q^{63} +(4.44555 + 6.65110i) q^{64} +(0.306094 - 1.46423i) q^{65} +(-2.98235 - 7.92332i) q^{66} +(-4.14522 - 2.39324i) q^{67} +(4.88059 - 4.28059i) q^{68} -16.3993 q^{69} +(-0.515352 - 8.35071i) q^{70} -8.13591i q^{71} +(0.0420508 + 1.28162i) q^{72} +(-6.30342 + 10.9178i) q^{73} +(1.15470 + 3.06774i) q^{74} +(-7.48021 + 5.51186i) q^{75} +(-13.0703 + 2.60051i) q^{76} +(8.48672 + 0.785418i) q^{77} +(-1.35908 - 1.11531i) q^{78} +(13.5306 - 7.81192i) q^{79} +(5.83233 + 6.78115i) q^{80} +(5.07728 - 8.79410i) q^{81} +(-2.15340 + 13.0450i) q^{82} -6.60312 q^{83} +(-8.98077 - 4.00500i) q^{84} +(4.83844 - 5.41008i) q^{85} +(-1.57671 + 9.55146i) q^{86} +(-5.10745 - 2.94879i) q^{87} +(-7.73711 + 4.81204i) q^{88} +(-1.31681 + 0.760263i) q^{89} +(0.219798 + 1.41672i) q^{90} +(1.60786 - 0.739958i) q^{91} +(3.44412 + 17.3103i) q^{92} +(-4.80718 - 8.32628i) q^{93} +(-4.78076 + 1.79948i) q^{94} +(-14.1547 + 4.65177i) q^{95} +(10.2374 - 2.38835i) q^{96} +12.1700 q^{97} +(7.57774 - 6.37008i) q^{98} -1.46046 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 $

$2$	−1.39533	−	0.230335i	−0.986647	−	0.162871i
$2$	−1.39533	−	0.230335i	−0.986647	−	0.162871i
$3$	−0.929162	+	1.60936i	−0.536452	+	0.929162i	0.462640	+	0.886546i	$0.346902\pi$
$3$	−0.929162	+	1.60936i	−0.536452	+	0.929162i	−0.999092	+	0.0426153i	$0.986431\pi$
$4$	1.89389	+	0.642786i	0.946946	+	0.321393i
$5$	2.18875	+	0.457553i	0.978841	+	0.204624i
$5$	2.18875	+	0.457553i	0.978841	+	0.204624i
$6$	1.66718	−	2.03156i	0.680622	−	0.829382i
$7$	1.10610	+	2.40345i	0.418066	+	0.908417i
$7$	1.10610	+	2.40345i	0.418066	+	0.908417i
$8$	−2.49455	−	1.33313i	−0.881956	−	0.471331i
$9$	−0.226682	−	0.392626i	−0.0755608	−	0.130875i
$10$	−2.94864	−	1.14258i	−0.932443	−	0.361317i
$11$	1.61069	−	2.78980i	0.485642	−	0.841157i	−0.514222	−	0.857657i	$-0.671919\pi$
$11$	1.61069	−	2.78980i	0.485642	−	0.841157i	0.999864	+	0.0165005i	$0.00525252\pi$
$12$	−2.79420	+	2.45069i	−0.806617	+	0.707454i
$13$		−	0.668981i		−	0.185542i	−0.995687	−	0.0927710i	$-0.970428\pi$
$13$		−	0.668981i		−	0.185542i	0.995687	−	0.0927710i	$-0.0295724\pi$
$14$	−0.989775	−	3.60837i	−0.264528	−	0.964378i
$15$	−2.77007	+	3.09734i	−0.715230	+	0.799730i
$16$	3.17365	+	2.43473i	0.793413	+	0.608683i
$17$	1.62295	−	2.81103i	0.393624	−	0.681776i	−0.599301	−	0.800524i	$-0.704555\pi$
$17$	1.62295	−	2.81103i	0.393624	−	0.681776i	0.992924	+	0.118748i	$0.0378880\pi$
$18$	0.225862	+	0.600055i	0.0532361	+	0.141434i
$19$	−5.77054	+	3.33162i	−1.32385	+	0.764326i	−0.984341	−	0.176276i	$-0.943595\pi$
$19$	−5.77054	+	3.33162i	−1.32385	+	0.764326i	−0.339511	+	0.940602i	$0.610262\pi$
$20$	3.85116	+	2.27346i	0.861145	+	0.508360i
$21$	−4.89574	−	0.453085i	−1.06834	−	0.0988712i
$22$	−2.89004	+	3.52170i	−0.616158	+	0.750828i
$23$	4.41240	+	7.64251i	0.920050	+	1.59357i	0.799335	+	0.600886i	$0.205185\pi$
$23$	4.41240	+	7.64251i	0.920050	+	1.59357i	0.120715	+	0.992687i	$0.461481\pi$
$24$	4.46331	−	2.77592i	0.911070	−	0.566633i
$25$	4.58129	+	2.00294i	0.916258	+	0.400589i
$26$	−0.154089	+	0.933449i	−0.0302194	+	0.183064i
$27$	−4.73247			−0.910764
$28$	0.549930	+	5.26285i	0.103927	+	0.994585i
$29$			3.17360i			0.589322i	0.955602	+	0.294661i	$0.0952068\pi$
$29$			3.17360i			0.589322i	−0.955602	+	0.294661i	$0.904793\pi$
$30$	4.57859	−	3.68377i	0.835932	−	0.672561i
$31$	−2.58684	+	4.48053i	−0.464609	+	0.804727i	−0.999184	−	0.0403943i	$-0.987139\pi$
$31$	−2.58684	+	4.48053i	−0.464609	+	0.804727i	0.534574	+	0.845121i	$0.320472\pi$
$32$	−3.86749	−	4.12826i	−0.683682	−	0.729780i
$33$	2.99319	+	5.18435i	0.521047	+	0.902480i
$34$	−2.91203	+	3.54850i	−0.499409	+	0.608562i
$35$	1.32127	+	5.76665i	0.223336	+	0.974742i
$36$	−0.176938	−	0.889299i	−0.0294897	−	0.148216i
$37$	−1.15890	−	2.00727i	−0.190522	−	0.329994i	0.754901	−	0.655838i	$-0.227685\pi$
$37$	−1.15890	−	2.00727i	−0.190522	−	0.329994i	−0.945423	+	0.325845i	$0.894351\pi$
$38$	8.81919	−	3.31956i	1.43066	−	0.538503i
$39$	1.07663	+	0.621591i	0.172398	+	0.0995343i
$40$	−4.84998	−	4.05928i	−0.766849	−	0.641828i
$41$		−	9.34903i		−	1.46007i	−0.683408	−	0.730036i	$-0.739503\pi$
$41$		−	9.34903i		−	1.46007i	0.683408	−	0.730036i	$-0.260497\pi$
$42$	6.72681	+	1.75986i	1.03797	+	0.271552i
$43$		−	6.84531i		−	1.04390i	−0.852976	−	0.521950i	$-0.825205\pi$
$43$		−	6.84531i		−	1.04390i	0.852976	−	0.521950i	$-0.174795\pi$
$44$	4.84372	−	4.24825i	0.730218	−	0.640448i
$45$	−0.316505	−	0.963080i	−0.0471818	−	0.143568i
$46$	−4.39643	−	11.6802i	−0.648218	−	1.72214i
$47$	3.12812	−	1.80602i	0.456284	−	0.263436i	−0.254197	−	0.967153i	$-0.581811\pi$
$47$	3.12812	−	1.80602i	0.456284	−	0.263436i	0.710480	+	0.703717i	$0.248478\pi$
$48$	−6.86719	+	2.84528i	−0.991193	+	0.410680i
$49$	−4.55310	+	5.31689i	−0.650442	+	0.759556i
$50$	−5.93106	−	3.85000i	−0.838779	−	0.544472i
$51$	3.01597	+	5.22381i	0.422320	+	0.731480i
$52$	0.430011	−	1.26698i	0.0596318	−	0.175698i
$53$	0.0130049	−	0.0225252i	0.00178637	−	0.00309408i	−0.865131	−	0.501546i	$-0.832765\pi$
$53$	0.0130049	−	0.0225252i	0.00178637	−	0.00309408i	0.866917	+	0.498452i	$0.166098\pi$
$54$	6.60336	+	1.09005i	0.898603	+	0.148337i
$55$	4.80189	−	5.36921i	0.647487	−	0.723984i
$56$	0.444882	−	7.47008i	0.0594499	−	0.998231i
$57$		−	12.3825i		−	1.64010i
$58$	0.730989	−	4.42822i	0.0959836	−	0.581453i
$59$	0.0160236	+	0.00925120i	0.00208609	+	0.00120440i	0.501043	−	0.865423i	$-0.332950\pi$
$59$	0.0160236	+	0.00925120i	0.00208609	+	0.00120440i	−0.498957	+	0.866627i	$0.666283\pi$
$60$	−7.23714	+	4.08547i	−0.934311	+	0.527432i
$61$	0.897835	+	1.55510i	0.114956	+	0.199110i	0.917762	−	0.397130i	$-0.129994\pi$
$61$	0.897835	+	1.55510i	0.114956	+	0.199110i	−0.802806	+	0.596240i	$0.796661\pi$
$62$	4.64151	−	5.65598i	0.589473	−	0.718310i
$63$	0.692921	−	0.979101i	0.0872998	−	0.123355i
$64$	4.44555	+	6.65110i	0.555693	+	0.831387i
$65$	0.306094	−	1.46423i	0.0379663	−	0.181616i
$66$	−2.98235	−	7.92332i	−0.367102	−	0.975293i
$67$	−4.14522	−	2.39324i	−0.506419	−	0.292381i	0.224942	−	0.974372i	$-0.427781\pi$
$67$	−4.14522	−	2.39324i	−0.506419	−	0.292381i	−0.731360	+	0.681991i	$0.761114\pi$
$68$	4.88059	−	4.28059i	0.591858	−	0.519097i
$69$	−16.3993			−1.97425
$70$	−0.515352	−	8.35071i	−0.0615963	−	0.998101i
$71$		−	8.13591i		−	0.965555i	−0.875743	−	0.482778i	$-0.839628\pi$
$71$		−	8.13591i		−	0.965555i	0.875743	−	0.482778i	$-0.160372\pi$
$72$	0.0420508	+	1.28162i	0.00495574	+	0.151040i
$73$	−6.30342	+	10.9178i	−0.737760	+	1.27784i	0.215742	+	0.976450i	$0.430783\pi$
$73$	−6.30342	+	10.9178i	−0.737760	+	1.27784i	−0.953502	+	0.301387i	$0.902550\pi$
$74$	1.15470	+	3.06774i	0.134232	+	0.356618i
$75$	−7.48021	+	5.51186i	−0.863740	+	0.636455i
$76$	−13.0703	+	2.60051i	−1.49926	+	0.298299i
$77$	8.48672	+	0.785418i	0.967151	+	0.0895067i
$78$	−1.35908	−	1.11531i	−0.153885	−	0.126284i
$79$	13.5306	−	7.81192i	1.52232	−	0.878910i	0.522665	−	0.852538i	$-0.324938\pi$
$79$	13.5306	−	7.81192i	1.52232	−	0.878910i	0.999652	−	0.0263718i	$-0.00839538\pi$
$80$	5.83233	+	6.78115i	0.652074	+	0.758155i
$81$	5.07728	−	8.79410i	0.564142	−	0.977123i
$82$	−2.15340	+	13.0450i	−0.237804	+	1.44058i
$83$	−6.60312			−0.724787			−0.362393	−	0.932025i	$-0.618040\pi$
$83$	−6.60312			−0.724787			−0.362393	+	0.932025i	$0.618040\pi$
$84$	−8.98077	−	4.00500i	−0.979882	−	0.436982i
$85$	4.83844	−	5.41008i	0.524802	−	0.586805i
$86$	−1.57671	+	9.55146i	−0.170021	+	1.02996i
$87$	−5.10745	−	2.94879i	−0.547576	−	0.316143i
$88$	−7.73711	+	4.81204i	−0.824779	+	0.512965i
$89$	−1.31681	+	0.760263i	−0.139582	+	0.0805877i	−0.568165	−	0.822915i	$-0.692346\pi$
$89$	−1.31681	+	0.760263i	−0.139582	+	0.0805877i	0.428583	+	0.903503i	$0.359013\pi$
$90$	0.219798	+	1.41672i	0.0231688	+	0.149335i
$91$	1.60786	−	0.739958i	0.168549	−	0.0775687i
$92$	3.44412	+	17.3103i	0.359075	+	1.80473i
$93$	−4.80718	−	8.32628i	−0.498481	−	0.863395i
$94$	−4.78076	+	1.79948i	−0.493097	+	0.185603i
$95$	−14.1547	+	4.65177i	−1.45224	+	0.477262i
$96$	10.2374	−	2.38835i	1.04485	−	0.243760i
$97$	12.1700			1.23568			0.617839	−	0.786305i	$-0.288008\pi$
$97$	12.1700			1.23568			0.617839	+	0.786305i	$0.288008\pi$
$98$	7.57774	−	6.37008i	0.765467	−	0.643475i
$99$	−1.46046			−0.146782
$100$	7.38901	+	6.73814i	0.738901	+	0.673814i
$101$	7.06658	−	12.2397i	0.703151	−	1.21789i	−0.264204	−	0.964467i	$-0.585109\pi$
$101$	7.06658	−	12.2397i	0.703151	−	1.21789i	0.967355	−	0.253426i	$-0.0815574\pi$
$102$	−3.00505	−	7.98362i	−0.297544	−	0.790496i
$103$	0.433570	−	0.250322i	0.0427209	−	0.0246649i	−0.478487	−	0.878094i	$-0.658815\pi$
$103$	0.433570	−	0.250322i	0.0427209	−	0.0246649i	0.521208	+	0.853429i	$0.325481\pi$
$104$	−0.891836	+	1.66881i	−0.0874517	+	0.163640i
$105$	−10.5083	−	3.23175i	−1.02550	−	0.315387i
$106$	−0.0233345	+	0.0284346i	−0.00226645	+	0.00276181i
$107$	16.0652	−	9.27527i	1.55309	−	0.896674i	0.555197	−	0.831719i	$-0.312643\pi$
$107$	16.0652	−	9.27527i	1.55309	−	0.896674i	0.997888	−	0.0649558i	$-0.0206907\pi$
$108$	−8.96279	−	3.04196i	−0.862445	−	0.292713i
$109$	3.92950	+	2.26870i	0.376378	+	0.217302i	0.676241	−	0.736680i	$-0.263608\pi$
$109$	3.92950	+	2.26870i	0.376378	+	0.217302i	−0.299863	+	0.953982i	$0.596941\pi$
$110$	−7.93694	+	6.38578i	−0.756758	+	0.608860i
$111$	4.30722			0.408823
$112$	−2.34138	+	10.3208i	−0.221239	+	0.975220i
$113$		−	6.94668i		−	0.653489i	−0.945113	−	0.326744i	$-0.894048\pi$
$113$		−	6.94668i		−	0.653489i	0.945113	−	0.326744i	$-0.105952\pi$
$114$	−2.85211	+	17.2776i	−0.267124	+	1.61820i
$115$	6.16081	+	18.7465i	0.574499	+	1.74812i
$116$	−2.03994	+	6.01045i	−0.189404	+	0.558056i
$117$	−0.262659	+	0.151646i	−0.0242828	+	0.0140197i
$118$	−0.0202273	−	0.0165993i	−0.00186207	−	0.00152809i
$119$	8.55131	+	0.791396i	0.783897	+	0.0725471i
$120$	11.0392	−	4.03361i	1.00774	−	0.368217i
$121$	0.311339	+	0.539255i	0.0283036	+	0.0490232i
$122$	−0.894584	−	2.37667i	−0.0809918	−	0.215174i
$123$	15.0459	+	8.68675i	1.35664	+	0.783258i
$124$	−7.77921	+	6.82286i	−0.698594	+	0.612711i
$125$	9.11086	+	6.48013i	0.814901	+	0.579601i
$126$	−1.19237	+	1.20657i	−0.106225	+	0.107489i
$127$	−5.54642			−0.492166			−0.246083	−	0.969249i	$-0.579144\pi$
$127$	−5.54642			−0.492166			−0.246083	+	0.969249i	$0.579144\pi$
$128$	−4.67103	−	10.3044i	−0.412864	−	0.910793i
$129$	11.0165	+	6.36040i	0.969951	+	0.560002i
$130$	−0.764367	+	1.97259i	−0.0670394	+	0.173007i
$131$	1.39758	−	0.806895i	0.122107	−	0.0704987i	−0.437702	−	0.899120i	$-0.644208\pi$
$131$	1.39758	−	0.806895i	0.122107	−	0.0704987i	0.559810	+	0.828621i	$0.310874\pi$
$132$	2.33635	+	11.7426i	0.203353	+	1.02206i
$133$	−14.3901	−	10.1841i	−1.24778	−	0.883071i
$134$	5.23270	+	4.29415i	0.452036	+	0.370958i
$135$	−10.3582	−	2.16536i	−0.891493	−	0.186364i
$136$	−7.79600	+	4.84866i	−0.668501	+	0.415769i
$137$	−7.25548	−	4.18895i	−0.619877	−	0.357886i	0.156944	−	0.987607i	$-0.449836\pi$
$137$	−7.25548	−	4.18895i	−0.619877	−	0.357886i	−0.776821	+	0.629721i	$0.783169\pi$
$138$	22.8825	+	3.77734i	1.94789	+	0.321548i
$139$		−	10.1284i		−	0.859077i	−0.903048	−	0.429539i	$-0.858676\pi$
$139$		−	10.1284i		−	0.859077i	0.903048	−	0.429539i	$-0.141324\pi$
$140$	−1.20437	+	11.7707i	−0.101788	+	0.994806i
$141$			6.71235i			0.565282i
$142$	−1.87398	+	11.3523i	−0.157261	+	0.952662i
$143$	−1.86632	−	1.07752i	−0.156070	−	0.0901070i
$144$	0.236527	−	1.79797i	0.0197105	−	0.149831i
$145$	−1.45209	+	6.94623i	−0.120590	+	0.576853i
$146$	11.3101	−	13.7821i	0.936031	−	1.14061i
$147$	−4.32620	−	12.2678i	−0.356819	−	1.01183i
$148$	−0.904585	−	4.54648i	−0.0743564	−	0.373719i
$149$	−2.14985	+	1.24122i	−0.176123	+	0.101684i	−0.585470	−	0.810694i	$-0.699090\pi$
$149$	−2.14985	+	1.24122i	−0.176123	+	0.101684i	0.409347	+	0.912379i	$0.365757\pi$
$150$	11.7069	−	5.96792i	0.955867	−	0.487279i
$151$	−2.38942	−	1.37954i	−0.194449	−	0.112265i	0.399615	−	0.916683i	$-0.369144\pi$
$151$	−2.38942	−	1.37954i	−0.194449	−	0.112265i	−0.594063	+	0.804418i	$0.702477\pi$
$152$	18.8364	−	0.618034i	1.52783	−	0.0501292i
$153$	−1.47158			−0.118970
$154$	−11.6609	−	3.05070i	−0.939659	−	0.245833i
$155$	−7.71203	+	8.62317i	−0.619445	+	0.692629i
$156$	1.63947	+	1.86927i	0.131262	+	0.149661i
$157$	−4.55831	−	2.63174i	−0.363793	−	0.210036i	0.306951	−	0.951725i	$-0.400691\pi$
$157$	−4.55831	−	2.63174i	−0.363793	−	0.210036i	−0.670743	+	0.741690i	$0.734025\pi$
$158$	−20.6791	+	7.78364i	−1.64514	+	0.619233i
$159$	0.0241674	+	0.0418591i	0.00191660	+	0.00331964i
$160$	−6.57609	−	10.8053i	−0.519886	−	0.854236i
$161$	−13.4878	+	19.0583i	−1.06299	+	1.50201i
$162$	−9.11006	+	11.1012i	−0.715754	+	0.872193i
$163$	3.72563	−	2.15099i	0.291814	−	0.168479i	−0.346946	−	0.937885i	$-0.612781\pi$
$163$	3.72563	−	2.15099i	0.291814	−	0.168479i	0.638760	+	0.769406i	$0.279448\pi$
$164$	6.00942	−	17.7060i	0.469257	−	1.38261i
$165$	4.17923	+	12.7168i	0.325353	+	0.990003i
$166$	9.21353	+	1.52093i	0.715109	+	0.118047i
$167$			3.88102i			0.300322i	0.988662	+	0.150161i	$0.0479792\pi$
$167$			3.88102i			0.300322i	−0.988662	+	0.150161i	$0.952021\pi$
$168$	11.6086	+	7.65688i	0.895626	+	0.590741i
$169$	12.5525			0.965574
$170$	−7.99735	+	6.43438i	−0.613369	+	0.493495i
$171$	2.61616	+	1.51044i	0.200063	+	0.115506i
$172$	4.40006	−	12.9643i	0.335502	−	0.988516i
$173$	−14.3964	+	8.31178i	−1.09454	+	0.631933i	−0.934781	−	0.355223i	$-0.884405\pi$
$173$	−14.3964	+	8.31178i	−1.09454	+	0.631933i	−0.159758	+	0.987156i	$0.551071\pi$
$174$	6.44737	+	5.29095i	0.488774	+	0.401106i
$175$	0.253390	+	13.2263i	0.0191545	+	0.999817i
$176$	11.9042	−	4.93226i	0.897313	−	0.371783i
$177$	−0.0297769	+	0.0171917i	−0.00223817	+	0.00129221i
$178$	2.01250	−	0.757510i	0.150844	−	0.0567777i
$179$	7.95928	−	13.7859i	0.594905	−	1.03040i	−0.398656	−	0.917101i	$-0.630523\pi$
$179$	7.95928	−	13.7859i	0.594905	−	1.03040i	0.993560	−	0.113304i	$-0.0361435\pi$
$180$	0.0196275	−	2.02741i	0.00146294	−	0.151115i
$181$	7.50289			0.557685			0.278843	−	0.960337i	$-0.410049\pi$
$181$	7.50289			0.557685			0.278843	+	0.960337i	$0.410049\pi$
$182$	−2.41393	+	0.662140i	−0.178933	+	0.0490811i
$183$	−3.33693			−0.246673
$184$	−0.818525	−	24.9469i	−0.0603425	−	1.83911i
$185$	−1.61811	−	4.92369i	−0.118966	−	0.361997i
$186$	4.78977	+	12.7252i	0.351203	+	0.933054i
$187$	−5.22815	−	9.05542i	−0.382320	−	0.662198i
$188$	7.08522	−	1.40970i	0.516742	−	0.102813i
$189$	−5.23458	−	11.3742i	−0.380759	−	0.827354i
$190$	20.8219	−	3.23044i	1.51058	−	0.234361i
$191$	−12.2310	+	7.06156i	−0.885002	+	0.510956i	−0.872304	−	0.488963i	$-0.837375\pi$
$191$	−12.2310	+	7.06156i	−0.885002	+	0.510956i	−0.0126977	+	0.999919i	$0.504042\pi$
$192$	−14.8346	+	0.974517i	−1.07060	+	0.0703297i
$193$	7.10077	+	4.09963i	0.511124	+	0.295098i	0.733296	−	0.679910i	$-0.237981\pi$
$193$	7.10077	+	4.09963i	0.511124	+	0.295098i	−0.222171	+	0.975008i	$0.571314\pi$
$194$	−16.9812	−	2.80318i	−1.21918	−	0.201256i
$195$	2.07206	+	1.85313i	0.148383	+	0.132705i
$196$	−12.0407	+	7.14295i	−0.860049	+	0.510211i
$197$	6.63166			0.472486			0.236243	−	0.971694i	$-0.424084\pi$
$197$	6.63166			0.472486			0.236243	+	0.971694i	$0.424084\pi$
$198$	2.03783	+	0.336395i	0.144822	+	0.0239066i
$199$	−1.78141	+	3.08549i	−0.126281	+	0.218725i	−0.922233	−	0.386635i	$-0.873637\pi$
$199$	−1.78141	+	3.08549i	−0.126281	+	0.218725i	0.795952	+	0.605360i	$0.206971\pi$
$200$	−8.75807	−	11.1039i	−0.619289	−	0.785163i
$201$	7.70315	−	4.44742i	0.543338	−	0.313697i
$202$	−12.6794	+	15.4507i	−0.892121	+	1.08711i
$203$	−7.62757	+	3.51031i	−0.535350	+	0.246375i
$204$	2.35413	+	11.8320i	0.164822	+	0.828402i
$205$	4.27768	−	20.4627i	0.298766	−	1.42918i
$206$	−0.662631	+	0.249415i	−0.0461677	+	0.0173776i
$207$	2.00043	−	3.46485i	0.139039	−	0.240823i
$208$	1.62879	−	2.12311i	0.112936	−	0.147211i
$209$			21.4649i			1.48476i
$210$	13.9181	+	6.92978i	0.960441	+	0.478200i
$211$	−13.5590			−0.933438			−0.466719	−	0.884406i	$-0.654564\pi$
$211$	−13.5590			−0.933438			−0.466719	+	0.884406i	$0.654564\pi$
$212$	0.0391088	−	0.0343009i	0.00268601	−	0.00235580i
$213$	13.0936	+	7.55958i	0.897157	+	0.517974i
$214$	−24.5527	+	9.24169i	−1.67839	+	0.631749i
$215$	3.13209	−	14.9827i	0.213607	−	1.02181i
$216$	11.8054	+	6.30898i	0.803254	+	0.429272i
$217$	−13.6300	−	1.26141i	−0.925265	−	0.0856303i
$218$	−4.96039	−	4.07068i	−0.335960	−	0.275702i
$219$	−11.7138	−	20.2889i	−0.791545	−	1.37100i
$220$	12.5455	−	7.08212i	0.845819	−	0.477476i
$221$	−1.88053	−	1.08572i	−0.126498	−	0.0730337i
$222$	−6.01000	−	0.992102i	−0.403365	−	0.0665855i
$223$		−	17.5244i		−	1.17352i	−0.809760	−	0.586761i	$-0.800403\pi$
$223$		−	17.5244i		−	1.17352i	0.809760	−	0.586761i	$-0.199597\pi$
$224$	5.64422	−	13.8616i	0.377120	−	0.926164i
$225$	−0.252091	−	2.25276i	−0.0168061	−	0.150184i
$226$	−1.60006	+	9.69291i	−0.106434	+	0.644763i
$227$	−5.47563	+	9.48408i	−0.363431	+	0.629480i	−0.988523	−	0.151071i	$-0.951728\pi$
$227$	−5.47563	+	9.48408i	−0.363431	+	0.629480i	0.625092	+	0.780551i	$0.285061\pi$
$228$	7.95926	−	23.4510i	0.527115	−	1.55308i
$229$	9.35182	+	16.1978i	0.617985	+	1.07038i	0.989853	+	0.142096i	$0.0453842\pi$
$229$	9.35182	+	16.1978i	0.617985	+	1.07038i	−0.371867	+	0.928286i	$0.621282\pi$
$230$	−4.27841	−	27.5766i	−0.282110	−	1.81835i
$231$	−9.14955	+	12.9284i	−0.601996	+	0.850624i
$232$	4.23081	−	7.91670i	0.277766	−	0.519757i
$233$	−3.70368	+	2.13832i	−0.242636	+	0.140086i	−0.616388	−	0.787443i	$-0.711405\pi$
$233$	−3.70368	+	2.13832i	−0.242636	+	0.140086i	0.373752	+	0.927529i	$0.378071\pi$
$234$	0.401425	−	0.151097i	0.0262420	−	0.00987753i
$235$	7.67305	−	2.52166i	0.500534	−	0.164495i
$236$	0.0244003	+	0.0278205i	0.00158833	+	0.00181096i
$237$			29.0342i			1.88597i
$238$	−11.7496	−	3.07392i	−0.761614	−	0.199253i
$239$		−	25.1064i		−	1.62400i	−0.583658	−	0.812000i	$-0.698379\pi$
$239$		−	25.1064i		−	1.62400i	0.583658	−	0.812000i	$-0.301621\pi$
$240$	−16.3324	+	3.08551i	−1.05425	+	0.199169i
$241$	1.69808	+	0.980389i	0.109383	+	0.0631524i	0.553694	−	0.832721i	$-0.313218\pi$
$241$	1.69808	+	0.980389i	0.109383	+	0.0631524i	−0.444310	+	0.895873i	$0.646551\pi$
$242$	−0.310212	−	0.824152i	−0.0199412	−	0.0529785i
$243$	2.33652	+	4.04696i	0.149888	+	0.259613i
$244$	0.700809	+	3.52230i	0.0448647	+	0.225492i
$245$	−12.3984	+	9.55408i	−0.792103	+	0.610388i
$246$	−18.9931	−	15.5865i	−1.21096	−	0.993758i
$247$	2.22879	+	3.86038i	0.141815	+	0.245630i
$248$	12.4261	−	7.72832i	0.789058	−	0.490749i
$249$	6.13537	−	10.6268i	0.388813	−	0.673444i
$250$	−11.2201	−	11.1405i	−0.709619	−	0.704585i
$251$		−	10.2716i		−	0.648336i	−0.945999	−	0.324168i	$-0.894916\pi$
$251$		−	10.2716i		−	0.648336i	0.945999	−	0.324168i	$-0.105084\pi$
$252$	1.94167	−	1.40891i	0.122314	−	0.0887531i
$253$	28.4281			1.78726
$254$	7.73909	+	1.27753i	0.485594	+	0.0801596i
$255$	4.21104	+	12.8136i	0.263706	+	0.802419i
$256$	4.14415	+	15.4540i	0.259010	+	0.965875i
$257$	−4.42809	−	7.66968i	−0.276217	−	0.478422i	0.694225	−	0.719759i	$-0.255747\pi$
$257$	−4.42809	−	7.66968i	−0.276217	−	0.478422i	−0.970441	+	0.241337i	$0.922414\pi$
$258$	−13.9067	−	11.4123i	−0.865792	−	0.710501i
$259$	3.54252	−	5.00559i	0.220121	−	0.311032i
$260$	1.52090	−	2.57635i	0.0943221	−	0.159778i
$261$	1.24604	−	0.719399i	0.0771277	−	0.0445297i
$262$	−2.13595	+	0.803973i	−0.131959	+	0.0496696i
$263$	6.21178	−	10.7591i	0.383035	−	0.663436i	−0.608459	−	0.793585i	$-0.708212\pi$
$263$	6.21178	−	10.7591i	0.383035	−	0.663436i	0.991494	+	0.130149i	$0.0415455\pi$
$264$	−0.555253	−	16.9229i	−0.0341734	−	1.04153i
$265$	0.0387711	−	0.0433517i	0.00238169	−	0.00266307i
$266$	17.7333	+	17.5247i	1.08730	+	1.07451i
$267$		−	2.82563i		−	0.172926i
$268$	−6.31225	−	7.19703i	−0.385582	−	0.439628i
$269$	−13.6032	+	23.5615i	−0.829403	+	1.43657i	0.0691035	+	0.997609i	$0.477986\pi$
$269$	−13.6032	+	23.5615i	−0.829403	+	1.43657i	−0.898507	+	0.438959i	$0.855347\pi$
$270$	13.9544	+	5.40724i	0.849236	+	0.329074i
$271$	−5.19784	−	9.00292i	−0.315746	−	0.546889i	0.663850	−	0.747866i	$-0.268922\pi$
$271$	−5.19784	−	9.00292i	−0.315746	−	0.546889i	−0.979596	+	0.200978i	$0.935588\pi$
$272$	11.9948	−	4.96980i	0.727292	−	0.301338i
$273$	−0.303105	+	3.27516i	−0.0183448	+	0.198221i
$274$	9.15892	+	7.51616i	0.553311	+	0.454068i
$275$	12.9669	−	9.55476i	0.781931	−	0.576174i
$276$	−31.0586	−	10.5413i	−1.86951	−	0.634509i
$277$	10.2142	−	17.6915i	0.613711	−	1.06298i	−0.376898	−	0.926255i	$-0.623009\pi$
$277$	10.2142	−	17.6915i	0.613711	−	1.06298i	0.990609	−	0.136724i	$-0.0436574\pi$
$278$	−2.33291	+	14.1324i	−0.139919	+	0.847606i
$279$	2.34556			0.140425
$280$	4.39170	−	16.1466i	0.262454	−	0.964944i
$281$	−31.1658			−1.85919			−0.929597	−	0.368578i	$-0.879845\pi$
$281$	−31.1658			−1.85919			−0.929597	+	0.368578i	$0.879845\pi$
$282$	1.54609	−	9.36594i	0.0920681	−	0.557734i
$283$	7.09232	−	12.2843i	0.421594	−	0.730223i	−0.574501	−	0.818504i	$-0.694804\pi$
$283$	7.09232	−	12.2843i	0.421594	−	0.730223i	0.996096	+	0.0882807i	$0.0281373\pi$
$284$	5.22965	−	15.4085i	0.310322	−	0.914329i
$285$	5.66563	−	27.1021i	0.335603	−	1.60539i
$286$	2.35595	+	1.93338i	0.139310	+	0.114323i
$287$	22.4699	−	10.3409i	1.32635	−	0.610406i
$288$	−0.744167	+	2.45428i	−0.0438505	+	0.144620i
$289$	3.23206	+	5.59809i	0.190121	+	0.329299i
$290$	3.62610	−	9.35781i	0.212932	−	0.549510i
$291$	−11.3079	+	19.5859i	−0.662881	+	1.14814i
$292$	−18.9558	+	16.6255i	−1.10931	+	0.972932i
$293$			13.3400i			0.779333i	0.920956	+	0.389666i	$0.127410\pi$
$293$			13.3400i			0.779333i	−0.920956	+	0.389666i	$0.872590\pi$
$294$	3.21078	+	18.1141i	0.187257	+	1.05644i
$295$	0.0308387	+	0.0275802i	0.00179550	+	0.00160578i
$296$	0.214982	+	6.55220i	0.0124956	+	0.380839i
$297$	−7.62256	+	13.2027i	−0.442306	+	0.766096i
$298$	3.28565	−	1.23672i	0.190332	−	0.0716414i
$299$	5.11269	−	2.95181i	0.295675	−	0.170708i
$300$	−17.7096	+	5.63071i	−1.02247	+	0.325089i
$301$	16.4523	−	7.57158i	0.948296	−	0.436418i
$302$	3.01628	+	2.47527i	0.173568	+	0.142436i
$303$	13.1320	+	22.7453i	0.754413	+	1.30668i
$304$	−26.4253	−	3.47630i	−1.51559	−	0.199380i
$305$	1.25360	+	3.81453i	0.0717810	+	0.218419i
$306$	2.05334	+	0.338955i	0.117381	+	0.0193768i
$307$	15.5134			0.885395			0.442697	−	0.896671i	$-0.354022\pi$
$307$	15.5134			0.885395			0.442697	+	0.896671i	$0.354022\pi$
$308$	15.5681	+	6.94264i	0.887073	+	0.395593i
$309$			0.930357i			0.0529262i
$310$	12.7470	−	10.2558i	0.723983	−	0.582491i
$311$	−4.58870	+	7.94786i	−0.260201	+	0.450682i	−0.966295	−	0.257436i	$-0.917122\pi$
$311$	−4.58870	+	7.94786i	−0.260201	+	0.450682i	0.706094	+	0.708118i	$0.250456\pi$
$312$	−1.85704	−	2.98587i	−0.105134	−	0.169042i
$313$	−16.2088	−	28.0744i	−0.916175	−	1.58686i	−0.805172	−	0.593041i	$-0.797927\pi$
$313$	−16.2088	−	28.0744i	−0.916175	−	1.58686i	−0.111002	−	0.993820i	$-0.535406\pi$
$314$	5.75416	+	4.72208i	0.324726	+	0.266483i
$315$	1.96462	−	1.82596i	0.110694	−	0.102881i
$316$	30.6470	−	6.09763i	1.72403	−	0.343019i
$317$	−0.205982	−	0.356772i	−0.0115691	−	0.0200383i	0.860183	−	0.509986i	$-0.170349\pi$
$317$	−0.205982	−	0.356772i	−0.0115691	−	0.0200383i	−0.871752	+	0.489947i	$0.837016\pi$
$318$	−0.0240799	−	0.0639739i	−0.00135033	−	0.00358748i
$319$	8.85371	+	5.11169i	0.495713	+	0.286200i
$320$	6.68698	+	16.5917i	0.373813	+	0.927504i
$321$			34.4729i			1.92409i
$322$	23.2097	−	23.4860i	1.29343	−	1.30882i
$323$			21.6282i			1.20343i
$324$	15.2685	−	13.3915i	0.848252	−	0.743971i
$325$	1.33993	−	3.06480i	0.0743260	−	0.170004i
$326$	−5.69393	+	2.14321i	−0.315358	+	0.118701i
$327$	−7.30229	+	4.21598i	−0.403817	+	0.233144i
$328$	−12.4634	+	23.3216i	−0.688178	+	1.28772i
$329$	7.80069	+	5.52064i	0.430066	+	0.304363i
$330$	−2.90229	−	18.7068i	−0.159766	−	1.02977i
$331$	14.7269	+	25.5078i	0.809465	+	1.40203i	0.913235	+	0.407433i	$0.133576\pi$
$331$	14.7269	+	25.5078i	0.809465	+	1.40203i	−0.103770	+	0.994601i	$0.533091\pi$
$332$	−12.5056	−	4.24439i	−0.686334	−	0.232941i
$333$	−0.525405	+	0.910027i	−0.0287920	+	0.0498692i
$334$	0.893933	−	5.41530i	0.0489138	−	0.296312i
$335$	−7.97783	−	7.13488i	−0.435875	−	0.389820i
$336$	−14.4342	−	13.3578i	−0.787452	−	0.728725i
$337$		−	0.726788i		−	0.0395906i	−0.999804	−	0.0197953i	$-0.993699\pi$
$337$		−	0.726788i		−	0.0395906i	0.999804	−	0.0197953i	$-0.00630146\pi$
$338$	−17.5148	−	2.89127i	−0.952681	−	0.157264i
$339$	11.1797	+	6.45459i	0.607197	+	0.350565i
$340$	12.6410	−	7.13602i	0.685554	−	0.387005i
$341$	8.33319	+	14.4335i	0.451268	+	0.781619i
$342$	−3.30250	−	2.71015i	−0.178579	−	0.146548i
$343$	−17.8150	−	5.06212i	−0.961921	−	0.273329i
$344$	−9.12566	+	17.0759i	−0.492023	+	0.920673i
$345$	−35.8941	−	7.50357i	−1.93248	−	0.403979i
$346$	22.0023	−	8.28168i	1.18285	−	0.445226i
$347$	14.4004	+	8.31409i	0.773056	+	0.446324i	0.833964	−	0.551819i	$-0.186066\pi$
$347$	14.4004	+	8.31409i	0.773056	+	0.446324i	−0.0609078	+	0.998143i	$0.519400\pi$
$348$	−7.77752	−	8.86767i	−0.416919	−	0.475357i
$349$	−33.3428			−1.78480			−0.892401	−	0.451244i	$-0.850980\pi$
$349$	−33.3428			−1.78480			−0.892401	+	0.451244i	$0.850980\pi$
$350$	2.69292	−	18.5135i	0.143943	−	0.989586i
$351$			3.16593i			0.168985i
$352$	−17.7464	+	4.14018i	−0.945884	+	0.220672i
$353$	−4.25151	+	7.36384i	−0.226285	+	0.391938i	−0.956704	−	0.291062i	$-0.905991\pi$
$353$	−4.25151	+	7.36384i	−0.226285	+	0.391938i	0.730419	+	0.682999i	$0.239325\pi$
$354$	0.0455085	−	0.0171295i	0.00241875	−	0.000910421i
$355$	3.72261	−	17.8075i	0.197576	−	0.945125i
$356$	−2.98259	+	0.593427i	−0.158077	+	0.0314515i
$357$	−9.21918	+	13.0268i	−0.487931	+	0.689449i
$358$	−14.2812	+	17.4026i	−0.754784	+	0.919754i
$359$	−28.2304	+	16.2989i	−1.48995	+	0.860220i	−0.999934	−	0.0114955i	$-0.996341\pi$
$359$	−28.2304	+	16.2989i	−1.48995	+	0.860220i	−0.490012	+	0.871716i	$0.663007\pi$
$360$	−0.494370	+	2.82439i	−0.0260556	+	0.148859i
$361$	12.6994	−	21.9960i	0.668389	−	1.15768i
$362$	−10.4690	−	1.72817i	−0.550239	−	0.0908309i
$363$	−1.15714			−0.0607340
$364$	3.52075	−	0.367893i	0.184537	−	0.0192828i
$365$	−18.7921	+	21.0123i	−0.983625	+	1.09984i
$366$	4.65613	+	0.768611i	0.243380	+	0.0401760i
$367$	−3.02375	−	1.74576i	−0.157838	−	0.0911280i	0.419000	−	0.907986i	$-0.362381\pi$
$367$	−3.02375	−	1.74576i	−0.157838	−	0.0911280i	−0.576839	+	0.816858i	$0.695714\pi$
$368$	−4.60402	+	34.9977i	−0.240001	+	1.82438i
$369$	−3.67067	+	2.11926i	−0.191087	+	0.110324i
$370$	1.12371	+	7.24288i	0.0584187	+	0.376539i
$371$	0.0685228	+	0.00634157i	0.00355753	+	0.000329238i
$372$	−3.75227	−	18.8590i	−0.194546	−	0.977796i
$373$	12.1896	+	21.1129i	0.631151	+	1.09319i	0.987317	+	0.158763i	$0.0507507\pi$
$373$	12.1896	+	21.1129i	0.631151	+	1.09319i	−0.356165	+	0.934423i	$0.615916\pi$
$374$	5.20922	+	13.8395i	0.269362	+	0.715625i
$375$	−18.8943	+	8.64152i	−0.975698	+	0.446246i
$376$	−10.2109	+	0.335027i	−0.526588	+	0.0172777i
$377$	2.12308			0.109344
$378$	4.68408	+	17.0765i	0.240923	+	0.878321i
$379$	−33.6902			−1.73055			−0.865274	−	0.501299i	$-0.832856\pi$
$379$	−33.6902			−1.73055			−0.865274	+	0.501299i	$0.832856\pi$
$380$	−29.7975	−	0.288471i	−1.52858	−	0.0147982i
$381$	5.15352	−	8.92617i	0.264023	−	0.457301i
$382$	18.6928	−	7.03599i	0.956405	−	0.359992i
$383$	−12.7966	+	7.38811i	−0.653875	+	0.377515i	−0.789939	−	0.613185i	$-0.789888\pi$
$383$	−12.7966	+	7.38811i	−0.653875	+	0.377515i	0.136064	+	0.990700i	$0.456555\pi$
$384$	20.9236	+	2.05715i	1.06776	+	0.104979i
$385$	18.2160	+	5.60221i	0.928372	+	0.285515i
$386$	−8.96363	−	7.35589i	−0.456237	−	0.374405i
$387$	−2.68764	+	1.55171i	−0.136621	+	0.0788779i
$388$	23.0487	+	7.82271i	1.17012	+	0.397138i
$389$	0.178263	+	0.102920i	0.00903829	+	0.00521826i	0.504512	−	0.863404i	$-0.331672\pi$
$389$	0.178263	+	0.102920i	0.00903829	+	0.00521826i	−0.495474	+	0.868623i	$0.665006\pi$
$390$	−2.46437	−	3.06299i	−0.124788	−	0.155100i
$391$	28.6445			1.44861
$392$	18.4460	−	7.19339i	0.931664	−	0.363321i
$393$			2.99894i			0.151277i
$394$	−9.25335	−	1.52750i	−0.466177	−	0.0769544i
$395$	33.1896	−	10.9074i	1.66995	−	0.548810i
$396$	−2.76596	−	0.938764i	−0.138995	−	0.0471747i
$397$	4.39175	−	2.53558i	0.220416	−	0.127257i	−0.385727	−	0.922613i	$-0.626049\pi$
$397$	4.39175	−	2.53558i	0.220416	−	0.127257i	0.606143	+	0.795356i	$0.292716\pi$
$398$	3.19635	−	3.89496i	0.160219	−	0.195237i
$399$	29.7605	−	13.6962i	1.48989	−	0.685668i
$400$	9.66280	+	17.5109i	0.483140	+	0.875543i
$401$	−9.62688	−	16.6743i	−0.480744	−	0.832672i	0.519012	−	0.854767i	$-0.326300\pi$
$401$	−9.62688	−	16.6743i	−0.480744	−	0.832672i	−0.999756	+	0.0220944i	$0.992967\pi$
$402$	−11.7728	+	4.43131i	−0.587176	+	0.221014i
$403$	2.99739	+	1.73054i	0.149311	+	0.0862045i
$404$	21.2508	−	18.6383i	1.05727	−	0.927291i
$405$	15.1367	−	16.9250i	0.752148	−	0.841010i
$406$	11.4515	−	3.14115i	0.568329	−	0.155893i
$407$	−7.46653			−0.370102
$408$	−0.559478	−	17.0517i	−0.0276983	−	0.844186i
$409$	−18.9967	−	10.9678i	−0.939327	−	0.542321i	−0.0495776	−	0.998770i	$-0.515788\pi$
$409$	−18.9967	−	10.9678i	−0.939327	−	0.542321i	−0.889749	+	0.456450i	$0.849121\pi$
$410$	−10.6820	+	27.5669i	−0.527548	+	1.36143i
$411$	13.4830	−	7.78442i	0.665068	−	0.383977i
$412$	0.982038	−	0.195390i	0.0483815	−	0.00962617i
$413$	−0.00451114	+	0.0487445i	−0.000221979	+	0.00239856i
$414$	−3.58933	+	4.37383i	−0.176406	+	0.214962i
$415$	−14.4526	−	3.02128i	−0.709451	−	0.148309i
$416$	−2.76173	+	2.58728i	−0.135405	+	0.126852i
$417$	16.3001	+	9.41089i	0.798222	+	0.460853i
$418$	4.94410	−	29.9506i	0.241824	−	1.46493i
$419$		−	20.3822i		−	0.995734i	−0.867253	−	0.497867i	$-0.834117\pi$
$419$		−	20.3822i		−	0.995734i	0.867253	−	0.497867i	$-0.165883\pi$
$420$	−17.8242	−	12.8751i	−0.869731	−	0.628243i
$421$			21.2887i			1.03755i	0.854912	+	0.518774i	$0.173611\pi$
$421$			21.2887i			1.03755i	−0.854912	+	0.518774i	$0.826389\pi$
$422$	18.9192	+	3.12310i	0.920974	+	0.152030i
$423$	−1.41818	−	0.818788i	−0.0689544	−	0.0398108i
$424$	−0.0624704	+	0.0388530i	−0.00303383	+	0.00188687i
$425$	13.0656	−	9.62748i	0.633772	−	0.467002i
$426$	−16.5286	−	13.5640i	−0.800814	−	0.657178i
$427$	−2.74449	+	3.87798i	−0.132815	+	0.187669i
$428$	36.3878	−	7.23986i	1.75887	−	0.349952i
$429$	3.46823	−	2.00239i	0.167448	−	0.0966761i
$430$	−7.82133	+	20.1844i	−0.377178	+	0.973377i
$431$	18.7227	+	10.8096i	0.901842	+	0.520679i	0.877797	−	0.479032i	$-0.159012\pi$
$431$	18.7227	+	10.8096i	0.901842	+	0.520679i	0.0240450	+	0.999711i	$0.492346\pi$
$432$	−15.0192	−	11.5223i	−0.722613	−	0.554367i
$433$	29.8068			1.43243			0.716213	−	0.697882i	$-0.245874\pi$
$433$	29.8068			1.43243			0.716213	+	0.697882i	$0.245874\pi$
$434$	18.7278	+	4.89955i	0.898964	+	0.235186i
$435$	−9.82972	−	8.79110i	−0.471299	−	0.421501i
$436$	5.98377	+	6.82250i	0.286570	+	0.326738i
$437$	−50.9239	−	29.4009i	−2.43602	−	1.40644i
$438$	11.6714	+	31.0078i	0.557680	+	1.48161i
$439$	14.9755	+	25.9383i	0.714740	+	1.23797i	0.963060	+	0.269288i	$0.0867883\pi$
$439$	14.9755	+	25.9383i	0.714740	+	1.23797i	−0.248320	+	0.968678i	$0.579878\pi$
$440$	−19.1364	+	6.99223i	−0.912292	+	0.333341i
$441$	3.11965	+	0.582416i	0.148555	+	0.0277341i
$442$	2.37388	+	1.94809i	0.112914	+	0.0926613i
$443$	−32.1133	+	18.5406i	−1.52575	+	0.880893i	−0.526218	+	0.850350i	$0.676390\pi$
$443$	−32.1133	+	18.5406i	−1.52575	+	0.880893i	−0.999533	+	0.0305429i	$0.990276\pi$
$444$	8.15741	+	2.76862i	0.387134	+	0.131393i
$445$	−3.23004	+	1.06152i	−0.153119	+	0.0503207i
$446$	−4.03648	+	24.4524i	−0.191133	+	1.15785i
$447$		−	4.61317i		−	0.218195i
$448$	−11.0683	+	18.0414i	−0.522930	+	0.852376i
$449$	17.1980			0.811625			0.405813	−	0.913956i	$-0.366989\pi$
$449$	17.1980			0.811625			0.405813	+	0.913956i	$0.366989\pi$
$450$	−0.167139	+	3.20141i	−0.00787899	+	0.150916i
$451$	−26.0819	−	15.0584i	−1.22815	−	0.709073i
$452$	4.46523	−	13.1563i	0.210027	−	0.618819i
$453$	4.44032	−	2.56362i	0.208625	−	0.120449i
$454$	9.82483	−	11.9722i	0.461102	−	0.561883i
$455$	3.85778	−	0.883906i	0.180855	−	0.0414381i
$456$	−16.5074	+	30.8886i	−0.773029	+	1.44649i
$457$	−8.54674	+	4.93447i	−0.399800	+	0.230825i	−0.686398	−	0.727226i	$-0.740809\pi$
$457$	−8.54674	+	4.93447i	−0.399800	+	0.230825i	0.286598	+	0.958051i	$0.407476\pi$
$458$	−9.31795	−	24.7554i	−0.435399	−	1.15674i
$459$	−7.68057	+	13.3031i	−0.358498	+	0.620937i
$460$	−0.382051	+	39.4639i	−0.0178132	+	1.84001i
$461$	−19.0434			−0.886938			−0.443469	−	0.896290i	$-0.646252\pi$
$461$	−19.0434			−0.886938			−0.443469	+	0.896290i	$0.646252\pi$
$462$	15.7445	−	15.9319i	0.732500	−	0.741218i
$463$	−15.5965			−0.724831			−0.362415	−	0.932017i	$-0.618048\pi$
$463$	−15.5965			−0.724831			−0.362415	+	0.932017i	$0.618048\pi$
$464$	−7.72686	+	10.0719i	−0.358711	+	0.467576i
$465$	−6.71202	−	20.4237i	−0.311262	−	0.947127i
$466$	5.66038	−	2.13058i	0.262212	−	0.0986970i
$467$	11.3528	+	19.6636i	0.525343	+	0.909921i	0.999564	+	0.0295151i	$0.00939632\pi$
$467$	11.3528	+	19.6636i	0.525343	+	0.909921i	−0.474221	+	0.880406i	$0.657270\pi$
$468$	−0.594924	+	0.118368i	−0.0275004	+	0.00547157i
$469$	1.16701	−	12.6100i	0.0538876	−	0.582274i
$470$	−11.2873	+	1.75118i	−0.520642	+	0.0807758i
$471$	8.47081	−	4.89062i	0.390314	−	0.225348i
$472$	−0.0276385	−	0.0444390i	−0.00127217	−	0.00204547i
$473$	−19.0970	−	11.0257i	−0.878083	−	0.506961i
$474$	6.68757	−	40.5122i	0.307170	−	1.86079i
$475$	−33.1095	+	3.70506i	−1.51917	+	0.170000i
$476$	15.6866	+	6.99548i	0.718992	+	0.320637i
$477$	−0.0117920			−0.000539917
$478$	−5.78288	+	35.0317i	−0.264503	+	1.60231i
$479$	17.2162	−	29.8193i	0.786626	−	1.36248i	−0.141397	−	0.989953i	$-0.545159\pi$
$479$	17.2162	−	29.8193i	0.786626	−	1.36248i	0.928023	−	0.372523i	$-0.121507\pi$
$480$	23.4999	−	0.543371i	1.07262	−	0.0248014i
$481$	−1.34283	+	0.775282i	−0.0612277	+	0.0353498i
$482$	−2.14357	−	1.75909i	−0.0976369	−	0.0801245i
$483$	−18.1393	−	39.4149i	−0.825366	−	1.79344i
$484$	0.243017	+	1.22142i	0.0110462	+	0.0555189i
$485$	26.6372	+	5.56843i	1.20953	+	0.252849i
$486$	−2.32806	−	6.18503i	−0.105603	−	0.280559i
$487$	0.417834	−	0.723709i	0.0189338	−	0.0327944i	−0.856403	−	0.516308i	$-0.827306\pi$
$487$	0.417834	−	0.723709i	0.0189338	−	0.0327944i	0.875337	+	0.483513i	$0.160639\pi$
$488$	−0.166553	−	5.07619i	−0.00753951	−	0.229788i
$489$			7.99448i			0.361523i
$490$	19.5005	−	10.4753i	0.880941	−	0.473227i
$491$	28.3101			1.27762			0.638809	−	0.769365i	$-0.279427\pi$
$491$	28.3101			1.27762			0.638809	+	0.769365i	$0.279427\pi$
$492$	22.9116	+	26.1231i	1.03293	+	1.17772i
$493$	8.92109	+	5.15060i	0.401786	+	0.231971i
$494$	−2.22072	−	5.89987i	−0.0999149	−	0.265448i
$495$	−3.19659	−	0.668240i	−0.143676	−	0.0300351i
$496$	−19.1186	+	7.92140i	−0.858451	+	0.355681i
$497$	19.5542	−	8.99911i	0.877127	−	0.403665i
$498$	−11.0086	+	13.4147i	−0.493306	+	0.601125i
$499$	2.19914	+	3.80903i	0.0984472	+	0.170516i	0.911042	−	0.412313i	$-0.135279\pi$
$499$	2.19914	+	3.80903i	0.0984472	+	0.170516i	−0.812595	+	0.582829i	$0.801946\pi$
$500$	13.0897	+	18.1290i	0.585387	+	0.810754i
$501$	−6.24594	−	3.60609i	−0.279048	−	0.161108i
$502$	−2.36590	+	14.3322i	−0.105595	+	0.639679i
$503$		−	21.2435i		−	0.947200i	−0.880740	−	0.473600i	$-0.842954\pi$
$503$		−	21.2435i		−	0.947200i	0.880740	−	0.473600i	$-0.157046\pi$
$504$	−3.03379	+	1.51866i	−0.135136	+	0.0676467i
$505$	21.0673	−	23.5563i	0.937482	−	1.04824i
$506$	−39.6666	−	6.54798i	−1.76340	−	0.291093i
$507$	−11.6633	+	20.2014i	−0.517984	+	0.897174i
$508$	−10.5043	−	3.56516i	−0.466054	−	0.158178i
$509$	−4.64622	−	8.04750i	−0.205940	−	0.356699i	0.744492	−	0.667632i	$-0.232692\pi$
$509$	−4.64622	−	8.04750i	−0.205940	−	0.356699i	−0.950432	+	0.310933i	$0.899359\pi$
$510$	−2.92438	−	18.8492i	−0.129494	−	0.834654i
$511$	−33.2126	−	3.07372i	−1.46924	−	0.135973i
$512$	−2.22287	−	22.5180i	−0.0982381	−	0.995163i
$513$	27.3089	−	15.7668i	1.20572	−	0.696121i
$514$	4.41206	+	11.7217i	0.194608	+	0.517021i
$515$	1.06351	−	0.349511i	0.0468640	−	0.0154013i
$516$	16.7757	+	19.1272i	0.738511	+	0.842027i
$517$		−	11.6358i		−	0.511742i
$518$	−6.09594	+	6.16849i	−0.267840	+	0.271028i
$519$		−	30.8919i		−	1.35601i
$520$	−2.71558	+	3.24454i	−0.119086	+	0.142283i
$521$	19.2972	+	11.1412i	0.845425	+	0.488106i	0.859104	−	0.511800i	$-0.171021\pi$
$521$	19.2972	+	11.1412i	0.845425	+	0.488106i	−0.0136798	+	0.999906i	$0.504355\pi$
$522$	−1.90433	+	0.716794i	−0.0833504	+	0.0313732i
$523$	1.18906	+	2.05951i	0.0519939	+	0.0900560i	0.890851	−	0.454296i	$-0.150109\pi$
$523$	1.18906	+	2.05951i	0.0519939	+	0.0900560i	−0.838857	+	0.544352i	$0.816776\pi$
$524$	3.16553	−	0.629826i	0.138287	−	0.0275141i
$525$	−21.5213	−	11.8816i	−0.939267	−	0.518556i
$526$	−11.1457	+	13.5817i	−0.485975	+	0.592192i
$527$	8.39662	+	14.5434i	0.365762	+	0.633519i
$528$	−3.12317	+	23.7409i	−0.135919	+	1.03319i
$529$	−27.4386	+	47.5251i	−1.19298	+	2.06631i
$530$	−0.0640839	+	0.0515596i	−0.00278363	+	0.00223961i
$531$		−	0.00838834i		−	0.000364023i
$532$	−20.7072	−	28.5373i	−0.897771	−	1.23725i
$533$	−6.25432			−0.270905
$534$	−0.650840	+	3.94268i	−0.0281646	+	0.170617i
$535$	39.4068	−	12.9506i	1.70370	−	0.559903i
$536$	7.14995	+	11.4962i	0.308831	+	0.496558i
$537$	14.7909	+	25.6186i	0.638275	+	1.10552i
$538$	24.4080	−	29.7428i	1.05230	−	1.28230i
$539$	7.49943	+	21.2661i	0.323023	+	0.915996i
$540$	−18.2255	−	10.7591i	−0.784300	−	0.462996i
$541$	18.1918	−	10.5031i	0.782128	−	0.451562i	−0.0550562	−	0.998483i	$-0.517534\pi$
$541$	18.1918	−	10.5031i	0.782128	−	0.451562i	0.837184	+	0.546922i	$0.184200\pi$
$542$	5.17902	+	13.7593i	0.222458	+	0.591012i
$543$	−6.97140	+	12.0748i	−0.299171	+	0.518180i
$544$	−17.8814	+	4.17169i	−0.766660	+	0.178860i
$545$	7.56266	+	6.76358i	0.323949	+	0.289720i
$546$	1.17731	−	4.50011i	0.0503844	−	0.192587i
$547$			14.9270i			0.638234i	0.947715	+	0.319117i	$0.103386\pi$
$547$			14.9270i			0.638234i	−0.947715	+	0.319117i	$0.896614\pi$
$548$	−11.0485	−	12.5971i	−0.471968	−	0.538123i
$549$	0.407047	−	0.705026i	0.0173723	−	0.0300898i
$550$	−20.2938	+	10.3453i	−0.865333	+	0.441126i
$551$	−10.5732	−	18.3134i	−0.450434	−	0.780175i
$552$	40.9090	+	21.8624i	1.74120	+	0.930526i
$553$	33.7417	+	23.8794i	1.43485	+	1.01546i
$554$	−18.3271	+	22.3328i	−0.778645	+	0.948829i
$555$	9.42745	+	1.97078i	0.400173	+	0.0836551i
$556$	6.51037	−	19.1820i	0.276101	−	0.813500i
$557$	1.63827	−	2.83757i	0.0694157	−	0.120232i	−0.829229	−	0.558910i	$-0.811220\pi$
$557$	1.63827	−	2.83757i	0.0694157	−	0.120232i	0.898644	+	0.438678i	$0.144553\pi$
$558$	−3.27283	−	0.540264i	−0.138550	−	0.0228712i
$559$	−4.57938			−0.193687
$560$	−9.84699	+	21.5183i	−0.416111	+	0.909314i
$561$	19.4312			0.820385
$562$	43.4865	+	7.17855i	1.83437	+	0.302809i
$563$	4.29192	−	7.43383i	0.180883	−	0.313299i	−0.761298	−	0.648402i	$-0.775438\pi$
$563$	4.29192	−	7.43383i	0.180883	−	0.313299i	0.942181	+	0.335103i	$0.108771\pi$
$564$	−4.31460	+	12.7125i	−0.181677	+	0.535291i
$565$	3.17848	−	15.2046i	0.133720	−	0.639661i
$566$	−12.7256	+	15.5070i	−0.534897	+	0.651807i
$567$	26.7521	+	2.47582i	1.12348	+	0.103975i
$568$	−10.8462	+	20.2954i	−0.455097	+	0.851577i
$569$	−12.8908	−	22.3275i	−0.540411	−	0.936019i	−0.998880	−	0.0473086i	$-0.984936\pi$
$569$	−12.8908	−	22.3275i	−0.540411	−	0.936019i	0.458470	−	0.888710i	$-0.348398\pi$
$570$	−14.1480	+	36.5114i	−0.592594	+	1.52930i
$571$	−15.5532	+	26.9389i	−0.650881	+	1.12736i	0.332029	+	0.943269i	$0.392267\pi$
$571$	−15.5532	+	26.9389i	−0.650881	+	1.12736i	−0.982909	+	0.184089i	$0.941066\pi$
$572$	−2.84200	−	3.24036i	−0.118830	−	0.135486i
$573$		−	26.2453i		−	1.09641i
$574$	−33.7348	+	9.25343i	−1.40806	+	0.386231i
$575$	4.90699	+	43.8503i	0.204636	+	1.82869i
$576$	1.60366	−	3.25312i	0.0668193	−	0.135547i
$577$	−10.1101	+	17.5112i	−0.420889	+	0.729001i	−0.996027	−	0.0890553i	$-0.971615\pi$
$577$	−10.1101	+	17.5112i	−0.420889	+	0.729001i	0.575137	+	0.818057i	$0.304949\pi$
$578$	−3.22035	−	8.55564i	−0.133949	−	0.355868i
$579$	−13.1955	+	7.61844i	−0.548387	+	0.316611i
$580$	−7.21504	+	12.2220i	−0.299588	+	0.507492i
$581$	−7.30370	−	15.8702i	−0.303008	−	0.658409i
$582$	20.2896	−	24.7242i	0.841030	−	1.02485i
$583$	−0.0418939	−	0.0725624i	−0.00173507	−	0.00300523i
$584$	30.2791	−	18.8318i	1.25296	−	0.779267i
$585$	−0.644282	+	0.211736i	−0.0266378	+	0.00875420i
$586$	3.07267	−	18.6137i	0.126931	−	0.768927i
$587$	−21.6836			−0.894976			−0.447488	−	0.894290i	$-0.647681\pi$
$587$	−21.6836			−0.894976			−0.447488	+	0.894290i	$0.647681\pi$
$588$	−0.307797	−	26.0147i	−0.0126933	−	1.07283i
$589$		−	34.4734i		−	1.42045i
$590$	−0.0366775	−	0.0455868i	−0.00150999	−	0.00187678i
$591$	−6.16188	+	10.6727i	−0.253466	+	0.439016i
$592$	1.20923	−	9.19200i	0.0496989	−	0.377789i
$593$	−14.9180	−	25.8387i	−0.612609	−	1.06107i	−0.990799	−	0.135342i	$-0.956787\pi$
$593$	−14.9180	−	25.8387i	−0.612609	−	1.06107i	0.378190	−	0.925728i	$-0.376547\pi$
$594$	13.6770	−	16.6663i	0.561174	−	0.683827i
$595$	18.3546	+	5.64485i	0.752466	+	0.231416i
$596$	−4.86942	+	0.968838i	−0.199459	+	0.0396852i
$597$	−3.31044	−	5.73384i	−0.135487	−	0.234671i
$598$	−7.81380	+	2.94113i	−0.319530	+	0.120272i
$599$	−6.90813	−	3.98841i	−0.282259	−	0.162962i	0.352187	−	0.935930i	$-0.385438\pi$
$599$	−6.90813	−	3.98841i	−0.282259	−	0.162962i	−0.634445	+	0.772968i	$0.718771\pi$
$600$	26.0078	−	3.77755i	1.06176	−	0.154218i
$601$		−	42.8990i		−	1.74989i	−0.484224	−	0.874944i	$-0.660898\pi$
$601$		−	42.8990i		−	1.74989i	0.484224	−	0.874944i	$-0.339102\pi$
$602$	−24.7004	+	6.77531i	−1.00671	+	0.276141i
$603$			2.17002i			0.0883702i
$604$	−3.63857	−	4.14858i	−0.148051	−	0.168803i
$605$	0.434707	+	1.32275i	0.0176734	+	0.0537775i
$606$	−13.0844	−	34.7619i	−0.531519	−	1.41211i
$607$	−24.6567	+	14.2355i	−1.00078	+	0.577802i	−0.908480	−	0.417929i	$-0.862756\pi$
$607$	−24.6567	+	14.2355i	−1.00078	+	0.577802i	−0.0923032	+	0.995731i	$0.529423\pi$
$608$	36.0713	+	10.9372i	1.46288	+	0.443564i
$609$	1.43791	−	15.5371i	0.0582670	−	0.629596i
$610$	−0.870569	−	5.61128i	−0.0352483	−	0.227194i
$611$	−1.20820	−	2.09266i	−0.0488783	−	0.0846598i
$612$	−2.78701	−	0.945909i	−0.112658	−	0.0382361i
$613$	13.6922	−	23.7156i	0.553022	−	0.957863i	−0.445032	−	0.895515i	$-0.646808\pi$
$613$	13.6922	−	23.7156i	0.553022	−	0.957863i	0.998054	−	0.0623483i	$-0.0198589\pi$
$614$	−21.6463	−	3.57327i	−0.873572	−	0.144205i
$615$	28.9571	+	25.8975i	1.16766	+	1.04429i
$616$	−20.1235	−	13.2731i	−0.810798	−	0.534790i
$617$			26.4349i			1.06423i	0.846673	+	0.532114i	$0.178602\pi$
$617$			26.4349i			1.06423i	−0.846673	+	0.532114i	$0.821398\pi$
$618$	0.214293	−	1.29816i	0.00862015	−	0.0522195i
$619$	−6.44010	−	3.71819i	−0.258850	−	0.149447i	0.364960	−	0.931023i	$-0.381083\pi$
$619$	−6.44010	−	3.71819i	−0.258850	−	0.149447i	−0.623810	+	0.781576i	$0.714416\pi$
$620$	−20.1486	+	11.3742i	−0.809187	+	0.456797i
$621$	−20.8816	−	36.1679i	−0.837949	−	1.45137i
$622$	8.23341	−	10.0329i	0.330130	−	0.402285i
$623$	−3.28377	−	2.32396i	−0.131562	−	0.0931076i
$624$	1.90343	+	4.59402i	0.0761984	+	0.183908i
$625$	16.9764	+	18.3521i	0.679057	+	0.734085i
$626$	16.1501	+	42.9065i	0.645487	+	1.71489i
$627$	−34.5446	−	19.9443i	−1.37958	−	0.796500i
$628$	−6.94130	−	7.91425i	−0.276988	−	0.315813i
$629$	−7.52335			−0.299976
$630$	−3.16188	+	2.09530i	−0.125972	+	0.0834788i
$631$		−	23.0524i		−	0.917701i	−0.888514	−	0.458850i	$-0.848261\pi$
$631$		−	23.0524i		−	0.917701i	0.888514	−	0.458850i	$-0.151739\pi$
$632$	−44.1671	+	1.44915i	−1.75687	+	0.0576443i
$633$	12.5985	−	21.8212i	0.500744	−	0.867315i
$634$	0.205237	+	0.545260i	0.00815098	+	0.0216550i
$635$	−12.1398	−	2.53778i	−0.481752	−	0.100709i
$636$	0.0188640	+	0.0948111i	0.000748005	+	0.00375950i
$637$	3.55690	+	3.04593i	0.140929	+	0.120684i
$638$	−11.1764	−	9.17181i	−0.442480	−	0.363115i
$639$	−3.19437	+	1.84427i	−0.126367	+	0.0729581i
$640$	−5.50890	−	24.6911i	−0.217758	−	0.976003i
$641$	4.04336	−	7.00330i	0.159703	−	0.276614i	−0.775059	−	0.631889i	$-0.782280\pi$
$641$	4.04336	−	7.00330i	0.159703	−	0.276614i	0.934762	+	0.355276i	$0.115613\pi$
$642$	7.94030	−	48.1011i	0.313379	−	1.89840i
$643$	22.3144			0.879995			0.439998	−	0.897999i	$-0.354979\pi$
$643$	22.3144			0.879995			0.439998	+	0.897999i	$0.354979\pi$
$644$	−37.7949	+	27.4247i	−1.48933	+	1.08068i
$645$	21.2023	+	18.9620i	0.834838	+	0.746628i
$646$	4.98173	−	30.1785i	0.196003	−	1.18736i
$647$	1.37529	+	0.794021i	0.0540681	+	0.0312162i	0.526790	−	0.849995i	$-0.323395\pi$
$647$	1.37529	+	0.794021i	0.0540681	+	0.0312162i	−0.472722	+	0.881211i	$0.656729\pi$
$648$	−24.3892	+	15.1687i	−0.958097	+	0.595881i
$649$	0.0516180	−	0.0298017i	0.00202618	−	0.00116982i
$650$	−2.57557	+	3.96777i	−0.101022	+	0.155629i
$651$	14.6945	−	20.7635i	0.575924	−	0.813784i
$652$	8.43857	−	1.67897i	0.330480	−	0.0657535i
$653$	−22.2296	−	38.5028i	−0.869912	−	1.50673i	−0.862086	−	0.506762i	$-0.830842\pi$
$653$	−22.2296	−	38.5028i	−0.869912	−	1.50673i	−0.00782554	−	0.999969i	$-0.502491\pi$
$654$	11.1602	−	4.20071i	0.436398	−	0.164261i
$655$	3.42816	−	1.12663i	0.133949	−	0.0440209i
$656$	22.7624	−	29.6706i	0.888721	−	1.15844i
$657$	5.71550			0.222983
$658$	−9.61294	−	9.49988i	−0.374752	−	0.370344i
$659$	6.14200			0.239259			0.119629	−	0.992819i	$-0.461829\pi$
$659$	6.14200			0.239259			0.119629	+	0.992819i	$0.461829\pi$
$660$	−0.259167	+	26.7706i	−0.0100881	+	1.04205i
$661$	4.19173	−	7.26029i	0.163039	−	0.282393i	−0.772918	−	0.634506i	$-0.781204\pi$
$661$	4.19173	−	7.26029i	0.163039	−	0.282393i	0.935957	+	0.352114i	$0.114537\pi$
$662$	−14.6736	−	38.9839i	−0.570306	−	1.51515i
$663$	3.49463	−	2.01762i	0.135720	−	0.0783581i
$664$	16.4718	+	8.80280i	0.639230	+	0.341615i
$665$	−26.8367	−	28.8747i	−1.04068	−	1.11971i
$666$	0.942724	−	1.14877i	0.0365298	−	0.0445139i
$667$	−24.2543	+	14.0032i	−0.939128	+	0.542206i
$668$	−2.49466	+	7.35023i	−0.0965214	+	0.284389i
$669$	28.2030	+	16.2830i	1.09039	+	0.629538i
$670$	9.48829	+	11.7931i	0.366565	+	0.455606i
$671$	5.78454			0.223310
$672$	17.0638	+	21.9632i	0.658250	+	0.847248i
$673$		−	5.56001i		−	0.214323i	−0.994242	−	0.107161i	$-0.965824\pi$
$673$		−	5.56001i		−	0.214323i	0.994242	−	0.107161i	$-0.0341761\pi$
$674$	−0.167404	+	1.01411i	−0.00644817	+	0.0390620i
$675$	−21.6808	−	9.47887i	−0.834495	−	0.364842i
$676$	23.7730	+	8.06854i	0.914347	+	0.310329i
$677$	13.5074	−	7.79851i	0.519132	−	0.299721i	−0.217447	−	0.976072i	$-0.569773\pi$
$677$	13.5074	−	7.79851i	0.519132	−	0.299721i	0.736579	+	0.676351i	$0.236440\pi$
$678$	−14.1126	−	11.5813i	−0.541992	−	0.444779i
$679$	13.4612	+	29.2500i	0.516594	+	1.12251i
$680$	−19.2820	+	7.04545i	−0.739432	+	0.270181i
$681$	−10.1755	−	17.6245i	−0.389926	−	0.675371i
$682$	−8.30302	−	22.0589i	−0.317939	−	0.844681i
$683$	−13.9790	−	8.07076i	−0.534890	−	0.308819i	0.208115	−	0.978104i	$-0.433267\pi$
$683$	−13.9790	−	8.07076i	−0.534890	−	0.308819i	−0.743006	+	0.669285i	$0.766600\pi$
$684$	3.98383	+	4.54224i	0.152326	+	0.173677i
$685$	−13.9638	−	12.4883i	−0.533529	−	0.477155i
$686$	23.6919	+	11.1667i	0.904559	+	0.426348i
$687$	−34.7574			−1.32608
$688$	16.6665	−	21.7246i	0.635404	−	0.828244i
$689$	−0.0150689	−	0.00870005i	−0.000574081	−	0.000331446i
$690$	48.3558	+	18.7376i	1.84088	+	0.713329i
$691$	12.5750	−	7.26020i	0.478377	−	0.276191i	−0.241363	−	0.970435i	$-0.577594\pi$
$691$	12.5750	−	7.26020i	0.478377	−	0.276191i	0.719740	+	0.694244i	$0.244261\pi$
$692$	−32.6080	+	6.48780i	−1.23957	+	0.246629i
$693$	−1.61541	−	3.51014i	−0.0613645	−	0.133339i
$694$	−18.1783	−	14.9178i	−0.690040	−	0.566273i
$695$	4.63427	−	22.1685i	0.175788	−	0.840900i
$696$	8.80967	+	14.1648i	0.333930	+	0.536914i
$697$	−26.2804	−	15.1730i	−0.995442	−	0.574719i
$698$	46.5243	+	7.68001i	1.76097	+	0.290693i
$699$		−	7.94737i		−	0.300597i
$700$	−8.02180	+	25.2121i	−0.303195	+	0.952928i
$701$			50.0391i			1.88995i	0.327140	+	0.944976i	$0.393915\pi$
$701$			50.0391i			1.88995i	−0.327140	+	0.944976i	$0.606085\pi$
$702$	0.729224	−	4.41752i	0.0275228	−	0.166729i
$703$	13.3749	+	7.72203i	0.504446	+	0.291242i
$704$	25.7157	−	1.68932i	0.969195	−	0.0636685i
$705$	−3.07126	+	14.6917i	−0.115670	+	0.553321i
$706$	7.62841	−	9.29572i	0.287099	−	0.349849i
$707$	37.2337	+	3.44586i	1.40032	+	0.129595i
$708$	−0.0674449	+	0.0134191i	−0.00253473	+	0.000504320i
$709$	−24.6072	+	14.2069i	−0.924141	+	0.533553i	−0.884954	−	0.465679i	$-0.845810\pi$
$709$	−24.6072	+	14.2069i	−0.924141	+	0.533553i	−0.0391872	+	0.999232i	$0.512477\pi$
$710$	−9.29596	+	23.9899i	−0.348871	+	0.900325i
$711$	−6.13432	−	3.54165i	−0.230055	−	0.132822i
$712$	4.29838	−	0.141033i	0.161089	−	0.00528543i
$713$	−45.6567			−1.70986
$714$	15.8643	−	16.0531i	0.593707	−	0.600773i
$715$	−3.59190	−	3.21237i	−0.134329	−	0.120136i
$716$	23.9354	−	20.9929i	0.894507	−	0.784540i
$717$	40.4051	+	23.3279i	1.50896	+	0.871197i
$718$	43.1450	−	16.2398i	1.61016	−	0.606065i
$719$	6.99938	+	12.1233i	0.261033	+	0.452122i	0.966517	−	0.256604i	$-0.0826036\pi$
$719$	6.99938	+	12.1233i	0.261033	+	0.452122i	−0.705484	+	0.708726i	$0.749270\pi$
$720$	1.34036	−	3.82709i	0.0499525	−	0.142627i
$721$	1.08121	+	0.765181i	0.0402662	+	0.0284968i
$722$	−22.7863	+	27.7665i	−0.848017	+	1.03336i
$723$	−3.15559	+	1.82188i	−0.117358	+	0.0677564i
$724$	14.2097	+	4.82275i	0.528098	+	0.179236i
$725$	−6.35654	+	14.5392i	−0.236076	+	0.539971i
$726$	1.61459	+	0.266529i	0.0599230	+	0.00989182i
$727$			27.8172i			1.03168i	0.856684	+	0.515842i	$0.172521\pi$
$727$			27.8172i			1.03168i	−0.856684	+	0.515842i	$0.827479\pi$
$728$	−4.99734	−	0.297618i	−0.185214	−	0.0110304i
$729$	21.7797			0.806654
$730$	31.0611	−	24.9907i	1.14962	−	0.924946i
$731$	−19.2424	−	11.1096i	−0.711705	−	0.410903i
$732$	−6.31979	−	2.14493i	−0.233586	−	0.0792790i
$733$	−40.1317	+	23.1700i	−1.48230	+	0.855804i	−0.999798	−	0.0200925i	$-0.993604\pi$
$733$	−40.1317	+	23.1700i	−1.48230	+	0.855804i	−0.482498	+	0.875897i	$0.660271\pi$
$734$	3.81702	+	3.13239i	0.140889	+	0.115618i
$735$	−3.85582	−	28.8307i	−0.142224	−	1.06343i
$736$	14.4853	−	47.7729i	0.533936	−	1.76093i
$737$	−13.3533	+	7.70955i	−0.491877	+	0.283985i
$738$	5.60993	−	2.11159i	0.206504	−	0.0777286i
$739$	−4.81690	+	8.34311i	−0.177192	+	0.306906i	−0.940918	−	0.338635i	$-0.890035\pi$
$739$	−4.81690	+	8.34311i	−0.177192	+	0.306906i	0.763725	+	0.645541i	$0.223368\pi$
$740$	0.100344	−	10.3650i	0.00368872	−	0.381026i
$741$	−8.28362			−0.304307
$742$	−0.0941513	−	0.0246318i	−0.00345640	−	0.000904260i
$743$	32.6002			1.19599			0.597993	−	0.801501i	$-0.295965\pi$
$743$	32.6002			1.19599			0.597993	+	0.801501i	$0.295965\pi$
$744$	0.891758	+	27.1789i	0.0326934	+	0.996426i
$745$	−5.27342	+	1.73305i	−0.193203	+	0.0634940i
$746$	−12.1454	−	32.2672i	−0.444675	−	1.18139i
$747$	1.49681	+	2.59255i	0.0547655	+	0.0948566i
$748$	−4.08086	−	20.5106i	−0.149211	−	0.749941i
$749$	40.0623	+	28.3526i	1.46385	+	1.03598i
$750$	28.3542	−	7.70577i	1.03535	−	0.281375i
$751$	4.64496	−	2.68177i	0.169497	−	0.0978591i	−0.412852	−	0.910798i	$-0.635467\pi$
$751$	4.64496	−	2.68177i	0.169497	−	0.0978591i	0.582349	+	0.812939i	$0.302134\pi$
$752$	14.3248	+	1.88445i	0.522370	+	0.0687189i
$753$	16.5306	+	9.54396i	0.602409	+	0.347801i
$754$	−2.96239	−	0.489018i	−0.107884	−	0.0178090i
$755$	−4.59865	−	4.11275i	−0.167362	−	0.149678i
$756$	−2.60253	−	24.9063i	−0.0946530	−	0.905833i
$757$	−14.4301			−0.524470			−0.262235	−	0.965004i	$-0.584460\pi$
$757$	−14.4301			−0.524470			−0.262235	+	0.965004i	$0.584460\pi$
$758$	47.0089	+	7.76001i	1.70744	+	0.281856i
$759$	−26.4143	+	45.7509i	−0.958778	+	1.66065i
$760$	41.5109	+	7.26591i	1.50576	+	0.263562i
$761$	−14.5866	+	8.42159i	−0.528765	+	0.305283i	−0.740513	−	0.672042i	$-0.765418\pi$
$761$	−14.5866	+	8.42159i	−0.528765	+	0.305283i	0.211748	+	0.977324i	$0.432084\pi$
$762$	−9.24687	+	11.2679i	−0.334979	+	0.408193i
$763$	−1.10628	+	11.9537i	−0.0400500	+	0.432755i
$764$	−27.7032	+	5.51193i	−1.00227	+	0.199415i
$765$	−3.22092	−	0.673325i	−0.116453	−	0.0243441i
$766$	19.5572	−	7.36136i	0.706630	−	0.265977i
$767$	0.00618888	−	0.0107195i	0.000223467	−	0.000387057i
$768$	−28.7216	−	7.68984i	−1.03640	−	0.277483i
$769$		−	53.2864i		−	1.92156i	−0.277315	−	0.960779i	$-0.589445\pi$
$769$		−	53.2864i		−	1.92156i	0.277315	−	0.960779i	$-0.410555\pi$
$770$	−24.1269	−	12.0127i	−0.869473	−	0.432908i
$771$	16.4577			0.592708
$772$	10.8129	+	12.3285i	0.389165	+	0.443713i
$773$	−0.228998	−	0.132212i	−0.00823647	−	0.00475533i	0.495876	−	0.868393i	$-0.334847\pi$
$773$	−0.228998	−	0.132212i	−0.00823647	−	0.00475533i	−0.504113	+	0.863638i	$0.668180\pi$
$774$	4.10756	−	1.54609i	0.147643	−	0.0555731i
$775$	−20.8253	+	15.3453i	−0.748067	+	0.551220i
$776$	−30.3587	−	16.2242i	−1.08981	−	0.582414i
$777$	4.76421	+	10.3522i	0.170915	+	0.371382i
$778$	−0.225030	−	0.184668i	−0.00806770	−	0.00662066i
$779$	31.1474	+	53.9489i	1.11597	+	1.93292i
$780$	2.73310	+	4.84151i	0.0978607	+	0.173354i
$781$	−22.6976	−	13.1045i	−0.812183	−	0.468914i
$782$	−39.9685	−	6.59781i	−1.42927	−	0.235937i
$783$		−	15.0190i		−	0.536734i
$784$	−27.3952	+	5.78840i	−0.978398	+	0.206728i
$785$	−8.77286	−	7.84590i	−0.313117	−	0.280032i
$786$	0.690760	−	4.18452i	0.0246386	−	0.149257i
$787$	7.22171	−	12.5084i	0.257426	−	0.445875i	−0.708126	−	0.706087i	$-0.750459\pi$
$787$	7.22171	−	12.5084i	0.257426	−	0.445875i	0.965552	+	0.260211i	$0.0837922\pi$
$788$	12.5596	+	4.26273i	0.447419	+	0.151854i
$789$	11.5435	+	19.9939i	0.410960	+	0.711803i
$790$	−48.8228	+	7.57469i	−1.73704	+	0.269495i
$791$	16.6960	−	7.68371i	0.593640	−	0.273201i
$792$	3.64320	+	1.94698i	0.129455	+	0.0691830i
$793$	1.04033	−	0.600634i	0.0369432	−	0.0213292i
$794$	−6.71197	+	2.52640i	−0.238199	+	0.0896585i
$795$	0.0337437	+	0.102677i	0.00119676	+	0.00364158i
$796$	−5.35711	+	4.69853i	−0.189878	+	0.166535i
$797$			34.3379i			1.21631i	0.793818	+	0.608156i	$0.208091\pi$
$797$			34.3379i			1.21631i	−0.793818	+	0.608156i	$0.791909\pi$
$798$	−44.6805	+	12.2558i	−1.58167	+	0.433852i
$799$		−	11.7244i		−	0.414778i
$800$	−9.44943	−	26.6591i	−0.334088	−	0.942542i
$801$	0.596997	+	0.344676i	0.0210938	+	0.0121785i
$802$	9.59202	+	25.4835i	0.338706	+	0.899853i
$803$	20.3057	+	35.1706i	0.716574	+	1.24114i
$804$	17.4477	−	3.47145i	0.615332	−	0.122429i
$805$	−38.2417	+	35.5426i	−1.34784	+	1.25271i
$806$	−3.78374	−	3.10508i	−0.133277	−	0.109372i
$807$	−25.2792	−	43.7848i	−0.889870	−	1.54130i
$808$	−33.9449	+	21.1118i	−1.19418	+	0.742711i
$809$	8.65907	−	14.9980i	0.304437	−	0.527300i	−0.672699	−	0.739916i	$-0.734865\pi$
$809$	8.65907	−	14.9980i	0.304437	−	0.527300i	0.977136	+	0.212616i	$0.0681984\pi$
$810$	−25.0191	+	20.1295i	−0.879081	+	0.707277i
$811$			25.3807i			0.891236i	0.895223	+	0.445618i	$0.147016\pi$
$811$			25.3807i			0.891236i	−0.895223	+	0.445618i	$0.852984\pi$
$812$	−16.7022	+	1.74526i	−0.586131	+	0.0612465i
$813$	19.3185			0.677530
$814$	10.4183	+	1.71980i	0.365160	+	0.0602789i
$815$	9.13869	−	3.00332i	0.320114	−	0.105202i
$816$	−3.14694	+	23.9216i	−0.110165	+	0.837425i
$817$	22.8060	+	39.5011i	0.797880	+	1.38197i
$818$	23.9804	+	19.6792i	0.838456	+	0.688068i
$819$	−0.655000	−	0.463551i	−0.0228875	−	0.0161978i
$820$	21.2546	−	36.0045i	0.742243	−	1.25733i
$821$	−20.2636	+	11.6992i	−0.707206	+	0.408306i	−0.810026	−	0.586394i	$-0.800547\pi$
$821$	−20.2636	+	11.6992i	−0.707206	+	0.408306i	0.102820	+	0.994700i	$0.467214\pi$
$822$	−20.6063	+	7.75624i	−0.718727	+	0.270530i
$823$	−9.67683	+	16.7608i	−0.337313	+	0.584243i	−0.983926	−	0.178575i	$-0.942851\pi$
$823$	−9.67683	+	16.7608i	−0.337313	+	0.584243i	0.646613	+	0.762818i	$0.276185\pi$
$824$	−1.41527	+	0.0464361i	−0.0493033	+	0.00161768i
$825$	3.32870	+	29.7462i	0.115890	+	1.03563i
$826$	0.0175221	−	0.0669755i	0.000609671	−	0.00233038i
$827$			29.0919i			1.01162i	0.862644	+	0.505812i	$0.168807\pi$
$827$			29.0919i			1.01162i	−0.862644	+	0.505812i	$0.831193\pi$
$828$	6.01575	−	5.27620i	0.209062	−	0.183360i
$829$	−13.3551	+	23.1317i	−0.463841	+	0.803397i	−0.999148	−	0.0412606i	$-0.986863\pi$
$829$	−13.3551	+	23.1317i	−0.463841	+	0.803397i	0.535307	+	0.844658i	$0.320196\pi$
$830$	19.4703	+	7.54462i	0.675822	+	0.261878i
$831$	18.9813	+	32.8765i	0.658453	+	1.14047i
$832$	4.44946	−	2.97399i	0.154257	−	0.103104i
$833$	7.55651	+	21.4280i	0.261817	+	0.742435i
$834$	−20.5764	−	16.8858i	−0.712504	−	0.584707i
$835$	−1.77577	+	8.49459i	−0.0614531	+	0.293968i
$836$	−13.7973	+	40.6521i	−0.477190	+	1.40598i
$837$	12.2421	−	21.2040i	0.423150	−	0.732917i
$838$	−4.69472	+	28.4399i	−0.162176	+	0.982439i
$839$	−24.7914			−0.855896			−0.427948	−	0.903803i	$-0.640763\pi$
$839$	−24.7914			−0.855896			−0.427948	+	0.903803i	$0.640763\pi$
$840$	21.9050	+	22.0706i	0.755795	+	0.761508i
$841$	18.9283			0.652699
$842$	4.90352	−	29.7047i	0.168986	−	1.02369i
$843$	28.9580	−	50.1568i	0.997367	−	1.72749i
$844$	−25.6792	−	8.71551i	−0.883915	−	0.300000i
$845$	27.4743	+	5.74342i	0.945143	+	0.197580i
$846$	1.79024	+	1.46914i	0.0615496	+	0.0505099i
$847$	−0.951699	+	1.34476i	−0.0327008	+	0.0462064i
$848$	0.0961160	−	0.0398237i	0.00330064	−	0.00136755i
$849$	13.1798	+	22.8281i	0.452330	+	0.783459i
$850$	−20.4483	+	10.4241i	−0.701371	+	0.357543i
$851$	10.2271	−	17.7138i	0.350579	−	0.607221i
$852$	19.9386	+	22.7334i	0.683086	+	0.778833i
$853$			50.6858i			1.73545i	0.497047	+	0.867724i	$0.334418\pi$
$853$			50.6858i			1.73545i	−0.497047	+	0.867724i	$0.665582\pi$
$854$	4.72271	−	4.77892i	0.161608	−	0.163531i
$855$	5.03502	+	4.50301i	0.172194	+	0.154000i
$856$	−52.4406	+	1.72061i	−1.79238	+	0.0588094i
$857$	10.5812	−	18.3272i	0.361448	−	0.626047i	−0.626751	−	0.779219i	$-0.715616\pi$
$857$	10.5812	−	18.3272i	0.361448	−	0.626047i	0.988199	+	0.153173i	$0.0489491\pi$
$858$	−5.30055	+	1.99513i	−0.180958	+	0.0681128i
$859$	2.47660	−	1.42986i	0.0845003	−	0.0487863i	−0.457154	−	0.889387i	$-0.651131\pi$
$859$	2.47660	−	1.42986i	0.0845003	−	0.0487863i	0.541655	+	0.840601i	$0.317798\pi$
$860$	15.5625	−	26.3623i	0.530677	−	0.898948i
$861$	−4.23590	+	45.7704i	−0.144359	+	1.55985i
$862$	−23.6346	−	19.3954i	−0.804997	−	0.660611i
$863$	6.07596	+	10.5239i	0.206828	+	0.358237i	0.950714	−	0.310070i	$-0.100353\pi$
$863$	6.07596	+	10.5239i	0.206828	+	0.358237i	−0.743886	+	0.668307i	$0.767019\pi$
$864$	18.3028	+	19.5369i	0.622674	+	0.664657i
$865$	−35.3133	+	11.6053i	−1.20069	+	0.394592i
$866$	−41.5904	−	6.86555i	−1.41330	−	0.233301i
$867$	−12.0124			−0.407963
$868$	−25.0029	−	11.1501i	−0.848655	−	0.378461i
$869$		−	50.3304i		−	1.70734i
$870$	11.6908	+	14.5306i	0.396356	+	0.492634i
$871$	−1.60103	+	2.77307i	−0.0542489	+	0.0939619i
$872$	−6.77787	−	10.8979i	−0.229528	−	0.369050i
$873$	−2.75873	−	4.77826i	−0.0933688	−	0.161720i
$874$	64.2836	+	52.7535i	2.17442	+	1.78441i
$875$	−5.49714	+	29.0651i	−0.185837	+	0.982581i
$876$	−9.14326	−	45.9544i	−0.308922	−	1.55266i
$877$	16.6594	+	28.8550i	0.562549	+	0.974363i	0.997273	+	0.0737992i	$0.0235124\pi$
$877$	16.6594	+	28.8550i	0.562549	+	0.974363i	−0.434725	+	0.900563i	$0.643154\pi$
$878$	−14.9212	−	39.6418i	−0.503567	−	1.33785i
$879$	−21.4688	−	12.3950i	−0.724126	−	0.418074i
$880$	28.3121	−	5.34869i	0.954402	−	0.180304i
$881$			19.5712i			0.659372i	0.944091	+	0.329686i	$0.106943\pi$
$881$			19.5712i			0.659372i	−0.944091	+	0.329686i	$0.893057\pi$
$882$	−4.21880	−	1.53123i	−0.142054	−	0.0515591i
$883$		−	42.7210i		−	1.43768i	−0.695178	−	0.718838i	$-0.744675\pi$
$883$		−	42.7210i		−	1.43768i	0.695178	−	0.718838i	$-0.255325\pi$
$884$	−2.86363	−	3.26502i	−0.0963143	−	0.109814i
$885$	−0.0730405	+	0.0240039i	−0.00245523	+	0.000806883i
$886$	49.0793	−	18.4735i	1.64885	−	0.620630i
$887$	−3.02603	+	1.74708i	−0.101604	+	0.0586613i	−0.549941	−	0.835203i	$-0.685350\pi$
$887$	−3.02603	+	1.74708i	−0.101604	+	0.0586613i	0.448337	+	0.893865i	$0.352017\pi$
$888$	−10.7446	−	5.74207i	−0.360564	−	0.192691i
$889$	−6.13489	−	13.3305i	−0.205757	−	0.447091i
$890$	4.75148	−	0.737174i	0.159270	−	0.0247101i
$891$	−16.3559	−	28.3292i	−0.547942	−	0.949064i
$892$	11.2644	−	33.1894i	0.377162	−	1.11126i
$893$	−12.0340	+	20.8434i	−0.402701	+	0.697499i
$894$	−1.06257	+	6.43689i	−0.0355377	+	0.215282i
$895$	23.7287	−	26.5321i	0.793162	−	0.886870i
$896$	19.5995	−	22.6243i	0.654775	−	0.755824i
$897$			10.9708i			0.366306i
$898$	−23.9969	−	3.96130i	−0.800788	−	0.132190i
$899$	−14.2194	−	8.20958i	−0.474244	−	0.273805i
$900$	0.970610	−	4.42853i	0.0323537	−	0.147618i
$901$	−0.0422128	−	0.0731146i	−0.00140631	−	0.00243580i
$902$	32.9244	+	27.0190i	1.09626	+	0.899635i
$903$	−3.10150	+	33.5128i	−0.103212	+	1.11524i
$904$	−9.26081	+	17.3288i	−0.308010	+	0.576348i
$905$	16.4220	+	3.43297i	0.545885	+	0.114116i
$906$	−6.78621	+	2.55434i	−0.225457	+	0.0848622i
$907$	18.3487	+	10.5936i	0.609258	+	0.351755i	0.772675	−	0.634802i	$-0.218918\pi$
$907$	18.3487	+	10.5936i	0.609258	+	0.351755i	−0.163417	+	0.986557i	$0.552252\pi$
$908$	−16.4665	+	14.4422i	−0.546459	+	0.479280i
$909$	−6.40748			−0.212523
$910$	−5.58647	+	0.344760i	−0.185190	+	0.0114287i
$911$			14.1566i			0.469030i	0.972112	+	0.234515i	$0.0753502\pi$
$911$			14.1566i			0.469030i	−0.972112	+	0.234515i	$0.924650\pi$
$912$	30.1480	−	39.2976i	0.998299	−	1.30127i
$913$	−10.6356	+	18.4214i	−0.351987	+	0.609659i
$914$	13.0621	−	4.91660i	0.432056	−	0.162627i
$915$	−7.30373	−	1.52683i	−0.241454	−	0.0504753i
$916$	7.29960	+	36.6881i	0.241186	+	1.21221i
$917$	3.48519	+	2.46651i	0.115091	+	0.0814513i
$918$	13.7811	−	16.7932i	0.454844	−	0.554257i
$919$	−25.4716	+	14.7060i	−0.840230	+	0.485107i	−0.857342	−	0.514746i	$-0.827886\pi$
$919$	−25.4716	+	14.7060i	−0.840230	+	0.485107i	0.0171122	+	0.999854i	$0.494553\pi$
$920$	9.62299	−	54.9772i	0.317260	−	1.81254i
$921$	−14.4144	+	24.9665i	−0.474972	+	0.822675i
$922$	26.5718	+	4.38635i	0.875095	+	0.144457i
$923$	−5.44277			−0.179151
$924$	−25.6384	+	18.6037i	−0.843442	+	0.612018i
$925$	−1.28880	−	11.5171i	−0.0423755	−	0.378680i
$926$	21.7623	+	3.59241i	0.715152	+	0.118054i
$927$	−0.196565	−	0.113487i	−0.00645606	−	0.00372741i
$928$	13.1014	−	12.2739i	0.430076	−	0.402909i
$929$	16.8894	−	9.75112i	0.554125	−	0.319924i	−0.196659	−	0.980472i	$-0.563009\pi$
$929$	16.8894	−	9.75112i	0.554125	−	0.319924i	0.750784	+	0.660548i	$0.229676\pi$
$930$	4.66119	+	30.0438i	0.152846	+	0.985176i
$931$	8.55994	−	45.8505i	0.280541	−	1.50269i
$932$	−8.38884	+	1.66907i	−0.274786	+	0.0546724i
$933$	−8.52728	−	14.7697i	−0.279171	−	0.483538i
$934$	−11.3116	−	30.0521i	−0.370128	−	0.983334i
$935$	−7.29980	−	22.2123i	−0.238729	−	0.726418i
$936$	0.857379	−	0.0281312i	0.0280243	−	0.000919497i
$937$	2.05387			0.0670971			0.0335485	−	0.999437i	$-0.489319\pi$
$937$	2.05387			0.0670971			0.0335485	+	0.999437i	$0.489319\pi$
$938$	−4.53288	+	17.3263i	−0.148004	+	0.565722i
$939$	60.2423			1.96593
$940$	16.1528	+	0.156376i	0.526846	+	0.00510042i
$941$	15.1289	−	26.2040i	0.493187	−	0.854226i	−0.506782	−	0.862074i	$-0.669165\pi$
$941$	15.1289	−	26.2040i	0.493187	−	0.854226i	0.999969	+	0.00784879i	$0.00249837\pi$
$942$	−12.9461	+	4.87292i	−0.421805	+	0.158768i
$943$	71.4500	−	41.2517i	2.32673	−	1.34334i
$944$	0.0283290	+	0.0683732i	0.000922030	+	0.00222536i
$945$	−6.25288	−	27.2905i	−0.203406	−	0.887760i
$946$	24.1071	+	19.7832i	0.783789	+	0.643207i
$947$	34.8806	−	20.1383i	1.13347	−	0.654407i	0.188662	−	0.982042i	$-0.439585\pi$
$947$	34.8806	−	20.1383i	1.13347	−	0.654407i	0.944804	+	0.327635i	$0.106252\pi$
$948$	−18.6627	+	54.9876i	−0.606137	+	1.78591i
$949$	7.30383	+	4.21687i	0.237092	+	0.136885i
$950$	47.0521	+	2.45649i	1.52657	+	0.0796989i
$951$	0.765564			0.0248251
$952$	−20.2766	−	13.3742i	−0.657169	−	0.433459i
$953$			45.4230i			1.47140i	0.677309	+	0.735698i	$0.263146\pi$
$953$			45.4230i			1.47140i	−0.677309	+	0.735698i	$0.736854\pi$
$954$	0.0164537	+	0.00271610i	0.000532708	+	8.79369e-5i
$955$	−30.0016	+	9.85969i	−0.970830	+	0.319052i
$956$	16.1380	−	47.5488i	0.521942	−	1.53784i
$957$	−16.4531	+	9.49917i	−0.531852	+	0.307065i
$958$	−30.8906	+	37.6422i	−0.998031	+	1.21617i
$959$	2.04265	−	22.0715i	0.0659605	−	0.712727i
$960$	−32.9152	−	4.65465i	−1.06233	−	0.150228i
$961$	2.11656	+	3.66599i	0.0682761	+	0.118258i
$962$	2.05226	−	0.772475i	0.0661676	−	0.0249056i
$963$	−7.28342	−	4.20508i	−0.234705	−	0.135507i
$964$	2.58581	+	2.94825i	0.0832832	+	0.0949569i
$965$	13.6660	+	12.2221i	0.439925	+	0.393442i
$966$	16.2317	+	59.1749i	0.522245	+	1.90392i
$967$	52.7807			1.69731			0.848656	−	0.528945i	$-0.177412\pi$
$967$	52.7807			1.69731			0.848656	+	0.528945i	$0.177412\pi$
$968$	−0.0577551	−	1.76025i	−0.00185632	−	0.0565767i
$969$	−34.8075	−	20.0961i	−1.11818	−	0.645580i
$970$	−35.8850	−	13.9053i	−1.15220	−	0.446471i
$971$	−26.0287	+	15.0277i	−0.835300	+	0.482261i	−0.855664	−	0.517532i	$-0.826851\pi$
$971$	−26.0287	+	15.0277i	−0.835300	+	0.482261i	0.0203639	+	0.999793i	$0.493518\pi$
$972$	1.82378	+	9.16639i	0.0584977	+	0.294012i
$973$	24.3430	−	11.2030i	0.780400	−	0.359151i
$974$	−0.749711	+	0.913571i	−0.0240223	+	0.0292727i
$975$	3.68733	+	5.00411i	0.118089	+	0.160260i
$976$	−0.936825	+	7.12132i	−0.0299870	+	0.227948i
$977$	−36.9900	−	21.3562i	−1.18341	−	0.683245i	−0.226613	−	0.973985i	$-0.572765\pi$
$977$	−36.9900	−	21.3562i	−1.18341	−	0.683245i	−0.956802	+	0.290740i	$0.906099\pi$
$978$	1.84141	−	11.1549i	0.0588817	−	0.356696i
$979$			4.89820i			0.156547i
$980$	−29.6224	+	10.1249i	−0.946253	+	0.323428i
$981$		−	2.05710i		−	0.0656781i
$982$	−39.5020	−	6.52080i	−1.26056	−	0.208087i
$983$	−10.5472	−	6.08944i	−0.336404	−	0.194223i	0.322277	−	0.946646i	$-0.395552\pi$
$983$	−10.5472	−	6.08944i	−0.336404	−	0.194223i	−0.658681	+	0.752423i	$0.728885\pi$
$984$	−25.9522	−	41.7276i	−0.827326	−	1.33023i
$985$	14.5151	+	3.03434i	0.462489	+	0.0966820i
$986$	−11.2615	−	9.24162i	−0.358640	−	0.294313i
$987$	−16.1328	+	7.42451i	−0.513512	+	0.236325i
$988$	1.73969	+	8.74377i	0.0553470	+	0.278176i
$989$	52.3153	−	30.2043i	1.66353	−	0.960440i
$990$	4.30639	+	1.66870i	0.136866	+	0.0530348i
$991$	−16.8998	−	9.75712i	−0.536841	−	0.309945i	0.206957	−	0.978350i	$-0.433644\pi$
$991$	−16.8998	−	9.75712i	−0.536841	−	0.309945i	−0.743798	+	0.668405i	$0.766977\pi$
$992$	28.5014	−	6.64929i	0.904919	−	0.211115i
$993$	−54.7348			−1.73696
$994$	−29.3574	+	8.05272i	−0.931160	+	0.255417i
$995$	−5.31085	+	5.93830i	−0.168365	+	0.188257i
$996$	18.4505	−	16.1822i	0.584625	−	0.512753i
$997$	−25.7749	−	14.8811i	−0.816298	−	0.471290i	0.0328401	−	0.999461i	$-0.489545\pi$
$997$	−25.7749	−	14.8811i	−0.816298	−	0.471290i	−0.849138	+	0.528171i	$0.822878\pi$
$998$	−2.19118	−	5.82139i	−0.0693606	−	0.184273i
$999$	5.48446	+	9.49936i	0.173521	+	0.300547i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.ba.b.59.2	yes	80
4.3	odd	2		1120.2.bq.b.1039.31		80
5.4	even	2	inner	280.2.ba.b.59.39	yes	80
7.5	odd	6	inner	280.2.ba.b.19.25	yes	80
8.3	odd	2	inner	280.2.ba.b.59.16	yes	80
8.5	even	2		1120.2.bq.b.1039.32		80
20.19	odd	2		1120.2.bq.b.1039.9		80
28.19	even	6		1120.2.bq.b.719.10		80
35.19	odd	6	inner	280.2.ba.b.19.16	yes	80
40.19	odd	2	inner	280.2.ba.b.59.25	yes	80
40.29	even	2		1120.2.bq.b.1039.10		80
56.5	odd	6		1120.2.bq.b.719.9		80
56.19	even	6	inner	280.2.ba.b.19.39	yes	80
140.19	even	6		1120.2.bq.b.719.32		80
280.19	even	6	inner	280.2.ba.b.19.2	✓	80
280.229	odd	6		1120.2.bq.b.719.31		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.2	✓	80	280.19	even	6	inner
280.2.ba.b.19.16	yes	80	35.19	odd	6	inner
280.2.ba.b.19.25	yes	80	7.5	odd	6	inner
280.2.ba.b.19.39	yes	80	56.19	even	6	inner
280.2.ba.b.59.2	yes	80	1.1	even	1	trivial
280.2.ba.b.59.16	yes	80	8.3	odd	2	inner
280.2.ba.b.59.25	yes	80	40.19	odd	2	inner
280.2.ba.b.59.39	yes	80	5.4	even	2	inner
1120.2.bq.b.719.9		80	56.5	odd	6
1120.2.bq.b.719.10		80	28.19	even	6
1120.2.bq.b.719.31		80	280.229	odd	6
1120.2.bq.b.719.32		80	140.19	even	6
1120.2.bq.b.1039.9		80	20.19	odd	2
1120.2.bq.b.1039.10		80	40.29	even	2
1120.2.bq.b.1039.31		80	4.3	odd	2
1120.2.bq.b.1039.32		80	8.5	even	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)

\(f(q)\)	\(=\)	\(q+(-1.39533 - 0.230335i) q^{2} +(-0.929162 + 1.60936i) q^{3} +(1.89389 + 0.642786i) q^{4} +(2.18875 + 0.457553i) q^{5} +(1.66718 - 2.03156i) q^{6} +(1.10610 + 2.40345i) q^{7} +(-2.49455 - 1.33313i) q^{8} +(-0.226682 - 0.392626i) q^{9} +O(q^{10})\)	\(q+(-1.39533 - 0.230335i) q^{2} +(-0.929162 + 1.60936i) q^{3} +(1.89389 + 0.642786i) q^{4} +(2.18875 + 0.457553i) q^{5} +(1.66718 - 2.03156i) q^{6} +(1.10610 + 2.40345i) q^{7} +(-2.49455 - 1.33313i) q^{8} +(-0.226682 - 0.392626i) q^{9} +(-2.94864 - 1.14258i) q^{10} +(1.61069 - 2.78980i) q^{11} +(-2.79420 + 2.45069i) q^{12} -0.668981i q^{13} +(-0.989775 - 3.60837i) q^{14} +(-2.77007 + 3.09734i) q^{15} +(3.17365 + 2.43473i) q^{16} +(1.62295 - 2.81103i) q^{17} +(0.225862 + 0.600055i) q^{18} +(-5.77054 + 3.33162i) q^{19} +(3.85116 + 2.27346i) q^{20} +(-4.89574 - 0.453085i) q^{21} +(-2.89004 + 3.52170i) q^{22} +(4.41240 + 7.64251i) q^{23} +(4.46331 - 2.77592i) q^{24} +(4.58129 + 2.00294i) q^{25} +(-0.154089 + 0.933449i) q^{26} -4.73247 q^{27} +(0.549930 + 5.26285i) q^{28} +3.17360i q^{29} +(4.57859 - 3.68377i) q^{30} +(-2.58684 + 4.48053i) q^{31} +(-3.86749 - 4.12826i) q^{32} +(2.99319 + 5.18435i) q^{33} +(-2.91203 + 3.54850i) q^{34} +(1.32127 + 5.76665i) q^{35} +(-0.176938 - 0.889299i) q^{36} +(-1.15890 - 2.00727i) q^{37} +(8.81919 - 3.31956i) q^{38} +(1.07663 + 0.621591i) q^{39} +(-4.84998 - 4.05928i) q^{40} -9.34903i q^{41} +(6.72681 + 1.75986i) q^{42} -6.84531i q^{43} +(4.84372 - 4.24825i) q^{44} +(-0.316505 - 0.963080i) q^{45} +(-4.39643 - 11.6802i) q^{46} +(3.12812 - 1.80602i) q^{47} +(-6.86719 + 2.84528i) q^{48} +(-4.55310 + 5.31689i) q^{49} +(-5.93106 - 3.85000i) q^{50} +(3.01597 + 5.22381i) q^{51} +(0.430011 - 1.26698i) q^{52} +(0.0130049 - 0.0225252i) q^{53} +(6.60336 + 1.09005i) q^{54} +(4.80189 - 5.36921i) q^{55} +(0.444882 - 7.47008i) q^{56} -12.3825i q^{57} +(0.730989 - 4.42822i) q^{58} +(0.0160236 + 0.00925120i) q^{59} +(-7.23714 + 4.08547i) q^{60} +(0.897835 + 1.55510i) q^{61} +(4.64151 - 5.65598i) q^{62} +(0.692921 - 0.979101i) q^{63} +(4.44555 + 6.65110i) q^{64} +(0.306094 - 1.46423i) q^{65} +(-2.98235 - 7.92332i) q^{66} +(-4.14522 - 2.39324i) q^{67} +(4.88059 - 4.28059i) q^{68} -16.3993 q^{69} +(-0.515352 - 8.35071i) q^{70} -8.13591i q^{71} +(0.0420508 + 1.28162i) q^{72} +(-6.30342 + 10.9178i) q^{73} +(1.15470 + 3.06774i) q^{74} +(-7.48021 + 5.51186i) q^{75} +(-13.0703 + 2.60051i) q^{76} +(8.48672 + 0.785418i) q^{77} +(-1.35908 - 1.11531i) q^{78} +(13.5306 - 7.81192i) q^{79} +(5.83233 + 6.78115i) q^{80} +(5.07728 - 8.79410i) q^{81} +(-2.15340 + 13.0450i) q^{82} -6.60312 q^{83} +(-8.98077 - 4.00500i) q^{84} +(4.83844 - 5.41008i) q^{85} +(-1.57671 + 9.55146i) q^{86} +(-5.10745 - 2.94879i) q^{87} +(-7.73711 + 4.81204i) q^{88} +(-1.31681 + 0.760263i) q^{89} +(0.219798 + 1.41672i) q^{90} +(1.60786 - 0.739958i) q^{91} +(3.44412 + 17.3103i) q^{92} +(-4.80718 - 8.32628i) q^{93} +(-4.78076 + 1.79948i) q^{94} +(-14.1547 + 4.65177i) q^{95} +(10.2374 - 2.38835i) q^{96} +12.1700 q^{97} +(7.57774 - 6.37008i) q^{98} -1.46046 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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