LMFDB - Embedded newform 280.2.w.a.43.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(43,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 2, 3, 0]))

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

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

chi := DirichletCharacter("280.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.w (of order $4$, 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:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			43.2
Character	$\chi$	$=$	280.43
Dual form			280.2.w.a.267.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.34202 - 0.446087i) q^{2} +(-1.58247 - 1.58247i) q^{3} +(1.60201 + 1.19731i) q^{4} +(-0.315812 - 2.21365i) q^{5} +(1.41778 + 2.82962i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(-1.61582 - 2.32145i) q^{8} +2.00843i q^{9} +O(q^{10})$	\(q+(-1.34202 - 0.446087i) q^{2} +(-1.58247 - 1.58247i) q^{3} +(1.60201 + 1.19731i) q^{4} +(-0.315812 - 2.21365i) q^{5} +(1.41778 + 2.82962i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(-1.61582 - 2.32145i) q^{8} +2.00843i q^{9} +(-0.563657 + 3.11164i) q^{10} -2.82679 q^{11} +(-0.640429 - 4.42985i) q^{12} +(4.55375 - 4.55375i) q^{13} +(0.633518 + 1.26438i) q^{14} +(-3.00328 + 4.00281i) q^{15} +(1.13289 + 3.83622i) q^{16} +(-3.58268 + 3.58268i) q^{17} +(0.895933 - 2.69534i) q^{18} +1.95782i q^{19} +(2.14450 - 3.92443i) q^{20} +2.23795i q^{21} +(3.79359 + 1.26099i) q^{22} +(-2.65854 + 2.65854i) q^{23} +(-1.11663 + 6.23062i) q^{24} +(-4.80053 + 1.39820i) q^{25} +(-8.14257 + 4.07984i) q^{26} +(-1.56913 + 1.56913i) q^{27} +(-0.286168 - 1.97942i) q^{28} -4.93369 q^{29} +(5.81605 - 4.03211i) q^{30} +0.623629i q^{31} +(0.190926 - 5.65363i) q^{32} +(4.47331 + 4.47331i) q^{33} +(6.40619 - 3.20982i) q^{34} +(-1.34198 + 1.78860i) q^{35} +(-2.40471 + 3.21753i) q^{36} +(-0.163709 - 0.163709i) q^{37} +(0.873358 - 2.62743i) q^{38} -14.4123 q^{39} +(-4.62859 + 4.31001i) q^{40} +12.3697 q^{41} +(0.998321 - 3.00337i) q^{42} +(-1.92205 - 1.92205i) q^{43} +(-4.52855 - 3.38454i) q^{44} +(4.44597 - 0.634285i) q^{45} +(4.75373 - 2.38186i) q^{46} +(-3.60295 - 3.60295i) q^{47} +(4.27793 - 7.86347i) q^{48} +1.00000i q^{49} +(7.06610 + 0.265051i) q^{50} +11.3390 q^{51} +(12.7474 - 1.84291i) q^{52} +(-0.577743 + 0.577743i) q^{53} +(2.80577 - 1.40583i) q^{54} +(0.892733 + 6.25753i) q^{55} +(-0.498952 + 2.78407i) q^{56} +(3.09820 - 3.09820i) q^{57} +(6.62110 + 2.20086i) q^{58} -13.7621i q^{59} +(-9.60390 + 2.81669i) q^{60} -7.34841i q^{61} +(0.278192 - 0.836920i) q^{62} +(1.42017 - 1.42017i) q^{63} +(-2.77824 + 7.50209i) q^{64} +(-11.5185 - 8.64229i) q^{65} +(-4.00777 - 7.99874i) q^{66} +(-3.71399 + 3.71399i) q^{67} +(-10.0291 + 1.44992i) q^{68} +8.41411 q^{69} +(2.59883 - 1.80169i) q^{70} -13.1376i q^{71} +(4.66246 - 3.24526i) q^{72} +(-5.52056 - 5.52056i) q^{73} +(0.146672 + 0.292729i) q^{74} +(9.80930 + 5.38409i) q^{75} +(-2.34412 + 3.13646i) q^{76} +(1.99884 + 1.99884i) q^{77} +(19.3416 + 6.42916i) q^{78} +1.23846 q^{79} +(8.13427 - 3.71935i) q^{80} +10.9915 q^{81} +(-16.6004 - 5.51798i) q^{82} +(3.60543 + 3.60543i) q^{83} +(-2.67952 + 3.58523i) q^{84} +(9.06225 + 6.79935i) q^{85} +(1.72202 + 3.43682i) q^{86} +(7.80743 + 7.80743i) q^{87} +(4.56759 + 6.56224i) q^{88} +3.80829i q^{89} +(-6.24950 - 1.13207i) q^{90} -6.43997 q^{91} +(-7.44210 + 1.07591i) q^{92} +(0.986874 - 0.986874i) q^{93} +(3.22799 + 6.44245i) q^{94} +(4.33394 - 0.618303i) q^{95} +(-9.24884 + 8.64457i) q^{96} +(-8.66523 + 8.66523i) q^{97} +(0.446087 - 1.34202i) q^{98} -5.67740i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q + 8 q^{6}+O(q^{10}) $ 72 * q + 8 * q^6	$ 72 q + 8 q^{6} + 16 q^{10} - 16 q^{12} - 8 q^{16} + 8 q^{17} - 28 q^{18} - 20 q^{20} - 36 q^{22} - 8 q^{25} - 32 q^{26} - 4 q^{30} + 40 q^{32} + 64 q^{36} - 4 q^{40} + 20 q^{42} - 64 q^{43} + 48 q^{46} - 80 q^{48} - 32 q^{51} + 16 q^{52} - 24 q^{56} + 4 q^{58} - 80 q^{60} - 40 q^{62} - 8 q^{65} + 32 q^{66} - 24 q^{68} + 40 q^{72} - 40 q^{73} + 112 q^{75} - 8 q^{76} + 28 q^{78} - 20 q^{80} - 72 q^{81} + 24 q^{82} + 80 q^{83} + 8 q^{86} - 88 q^{88} + 136 q^{90} - 96 q^{92} - 56 q^{96} - 8 q^{97}+O(q^{100}) $ 72 * q + 8 * q^6 + 16 * q^10 - 16 * q^12 - 8 * q^16 + 8 * q^17 - 28 * q^18 - 20 * q^20 - 36 * q^22 - 8 * q^25 - 32 * q^26 - 4 * q^30 + 40 * q^32 + 64 * q^36 - 4 * q^40 + 20 * q^42 - 64 * q^43 + 48 * q^46 - 80 * q^48 - 32 * q^51 + 16 * q^52 - 24 * q^56 + 4 * q^58 - 80 * q^60 - 40 * q^62 - 8 * q^65 + 32 * q^66 - 24 * q^68 + 40 * q^72 - 40 * q^73 + 112 * q^75 - 8 * q^76 + 28 * q^78 - 20 * q^80 - 72 * q^81 + 24 * q^82 + 80 * q^83 + 8 * q^86 - 88 * q^88 + 136 * q^90 - 96 * q^92 - 56 * q^96 - 8 * q^97

Display 100 coefficients 10 coefficients

Character values

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

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$-1$	$1$

Coefficient data

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

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

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

$2$	−1.34202	−	0.446087i	−0.948949	−	0.315431i
$2$	−1.34202	−	0.446087i	−0.948949	−	0.315431i
$3$	−1.58247	−	1.58247i	−0.913640	−	0.913640i	0.0829165	−	0.996557i	$-0.473577\pi$
$3$	−1.58247	−	1.58247i	−0.913640	−	0.913640i	−0.996557	+	0.0829165i	$0.973577\pi$
$4$	1.60201	+	1.19731i	0.801007	+	0.598656i
$5$	−0.315812	−	2.21365i	−0.141235	−	0.989976i
$5$	−0.315812	−	2.21365i	−0.141235	−	0.989976i
$6$	1.41778	+	2.82962i	0.578807	+	1.15519i
$7$	−0.707107	−	0.707107i	−0.267261	−	0.267261i
$7$	−0.707107	−	0.707107i	−0.267261	−	0.267261i
$8$	−1.61582	−	2.32145i	−0.571279	−	0.820756i
$9$			2.00843i			0.669476i
$10$	−0.563657	+	3.11164i	−0.178244	+	0.983986i
$11$	−2.82679			−0.852309			−0.426154	−	0.904650i	$-0.640132\pi$
$11$	−2.82679			−0.852309			−0.426154	+	0.904650i	$0.640132\pi$
$12$	−0.640429	−	4.42985i	−0.184876	−	1.27879i
$13$	4.55375	−	4.55375i	1.26298	−	1.26298i	0.313342	−	0.949640i	$-0.398551\pi$
$13$	4.55375	−	4.55375i	1.26298	−	1.26298i	0.949640	−	0.313342i	$-0.101449\pi$
$14$	0.633518	+	1.26438i	0.169315	+	0.337920i
$15$	−3.00328	+	4.00281i	−0.775444	+	1.03352i
$16$	1.13289	+	3.83622i	0.283223	+	0.959054i
$17$	−3.58268	+	3.58268i	−0.868926	+	0.868926i	−0.992354	−	0.123427i	$-0.960611\pi$
$17$	−3.58268	+	3.58268i	−0.868926	+	0.868926i	0.123427	+	0.992354i	$0.460611\pi$
$18$	0.895933	−	2.69534i	0.211174	−	0.635298i
$19$			1.95782i			0.449155i	0.974456	+	0.224578i	$0.0721002\pi$
$19$			1.95782i			0.449155i	−0.974456	+	0.224578i	$0.927900\pi$
$20$	2.14450	−	3.92443i	0.479524	−	0.877529i
$21$			2.23795i			0.488361i
$22$	3.79359	+	1.26099i	0.808797	+	0.268845i
$23$	−2.65854	+	2.65854i	−0.554343	+	0.554343i	−0.927691	−	0.373348i	$-0.878210\pi$
$23$	−2.65854	+	2.65854i	−0.554343	+	0.554343i	0.373348	+	0.927691i	$0.378210\pi$
$24$	−1.11663	+	6.23062i	−0.227931	+	1.27182i
$25$	−4.80053	+	1.39820i	−0.960105	+	0.279639i
$26$	−8.14257	+	4.07984i	−1.59689	+	0.800122i
$27$	−1.56913	+	1.56913i	−0.301980	+	0.301980i
$28$	−0.286168	−	1.97942i	−0.0540806	−	0.374075i
$29$	−4.93369			−0.916164			−0.458082	−	0.888910i	$-0.651463\pi$
$29$	−4.93369			−0.916164			−0.458082	+	0.888910i	$0.651463\pi$
$30$	5.81605	−	4.03211i	1.06186	−	0.736158i
$31$			0.623629i			0.112007i	0.998431	+	0.0560035i	$0.0178358\pi$
$31$			0.623629i			0.112007i	−0.998431	+	0.0560035i	$0.982164\pi$
$32$	0.190926	−	5.65363i	0.0337512	−	0.999430i
$33$	4.47331	+	4.47331i	0.778703	+	0.778703i
$34$	6.40619	−	3.20982i	1.09865	−	0.550480i
$35$	−1.34198	+	1.78860i	−0.226836	+	0.302329i
$36$	−2.40471	+	3.21753i	−0.400786	+	0.536255i
$37$	−0.163709	−	0.163709i	−0.0269136	−	0.0269136i	0.693522	−	0.720436i	$-0.256058\pi$
$37$	−0.163709	−	0.163709i	−0.0269136	−	0.0269136i	−0.720436	+	0.693522i	$0.756058\pi$
$38$	0.873358	−	2.62743i	0.141677	−	0.426225i
$39$	−14.4123			−2.30782
$40$	−4.62859	+	4.31001i	−0.731844	+	0.681473i
$41$	12.3697			1.93183			0.965914	−	0.258862i	$-0.0833476\pi$
$41$	12.3697			1.93183			0.965914	+	0.258862i	$0.0833476\pi$
$42$	0.998321	−	3.00337i	0.154044	−	0.463430i
$43$	−1.92205	−	1.92205i	−0.293109	−	0.293109i	0.545198	−	0.838307i	$-0.316454\pi$
$43$	−1.92205	−	1.92205i	−0.293109	−	0.293109i	−0.838307	+	0.545198i	$0.816454\pi$
$44$	−4.52855	−	3.38454i	−0.682705	−	0.510239i
$45$	4.44597	−	0.634285i	0.662765	−	0.0945537i
$46$	4.75373	−	2.38186i	0.700900	−	0.351186i
$47$	−3.60295	−	3.60295i	−0.525545	−	0.525545i	0.393696	−	0.919241i	$-0.371196\pi$
$47$	−3.60295	−	3.60295i	−0.525545	−	0.525545i	−0.919241	+	0.393696i	$0.871196\pi$
$48$	4.27793	−	7.86347i	0.617466	−	1.13499i
$49$			1.00000i			0.142857i
$50$	7.06610	+	0.265051i	0.999297	+	0.0374839i
$51$	11.3390			1.58777
$52$	12.7474	−	1.84291i	1.76775	−	0.255566i
$53$	−0.577743	+	0.577743i	−0.0793591	+	0.0793591i	−0.745672	−	0.666313i	$-0.767871\pi$
$53$	−0.577743	+	0.577743i	−0.0793591	+	0.0793591i	0.666313	+	0.745672i	$0.267871\pi$
$54$	2.80577	−	1.40583i	0.381817	−	0.191309i
$55$	0.892733	+	6.25753i	0.120376	+	0.843765i
$56$	−0.498952	+	2.78407i	−0.0666753	+	0.372037i
$57$	3.09820	−	3.09820i	0.410366	−	0.410366i
$58$	6.62110	+	2.20086i	0.869392	+	0.288987i
$59$		−	13.7621i		−	1.79168i	−0.444379	−	0.895839i	$-0.646576\pi$
$59$		−	13.7621i		−	1.79168i	0.444379	−	0.895839i	$-0.353424\pi$
$60$	−9.60390	+	2.81669i	−1.23986	+	0.363633i
$61$		−	7.34841i		−	0.940867i	−0.882435	−	0.470434i	$-0.844098\pi$
$61$		−	7.34841i		−	0.940867i	0.882435	−	0.470434i	$-0.155902\pi$
$62$	0.278192	−	0.836920i	0.0353305	−	0.106289i
$63$	1.42017	−	1.42017i	0.178925	−	0.178925i
$64$	−2.77824	+	7.50209i	−0.347279	+	0.937762i
$65$	−11.5185	−	8.64229i	−1.42870	−	1.07194i
$66$	−4.00777	−	7.99874i	−0.493322	−	0.984577i
$67$	−3.71399	+	3.71399i	−0.453736	+	0.453736i	−0.896593	−	0.442856i	$-0.853965\pi$
$67$	−3.71399	+	3.71399i	−0.453736	+	0.453736i	0.442856	+	0.896593i	$0.353965\pi$
$68$	−10.0291	+	1.44992i	−1.21620	+	0.175828i
$69$	8.41411			1.01294
$70$	2.59883	−	1.80169i	0.310619	−	0.215344i
$71$		−	13.1376i		−	1.55914i	−0.626313	−	0.779572i	$-0.715437\pi$
$71$		−	13.1376i		−	1.55914i	0.626313	−	0.779572i	$-0.284563\pi$
$72$	4.66246	−	3.24526i	0.549476	−	0.382458i
$73$	−5.52056	−	5.52056i	−0.646133	−	0.646133i	0.305923	−	0.952056i	$-0.401035\pi$
$73$	−5.52056	−	5.52056i	−0.646133	−	0.646133i	−0.952056	+	0.305923i	$0.901035\pi$
$74$	0.146672	+	0.292729i	0.0170503	+	0.0340290i
$75$	9.80930	+	5.38409i	1.13268	+	0.621701i
$76$	−2.34412	+	3.13646i	−0.268889	+	0.359776i
$77$	1.99884	+	1.99884i	0.227789	+	0.227789i
$78$	19.3416	+	6.42916i	2.19000	+	0.727959i
$79$	1.23846			0.139338			0.0696688	−	0.997570i	$-0.477806\pi$
$79$	1.23846			0.139338			0.0696688	+	0.997570i	$0.477806\pi$
$80$	8.13427	−	3.71935i	0.909439	−	0.415836i
$81$	10.9915			1.22128
$82$	−16.6004	−	5.51798i	−1.83321	−	0.609359i
$83$	3.60543	+	3.60543i	0.395747	+	0.395747i	0.876730	−	0.480983i	$-0.159720\pi$
$83$	3.60543	+	3.60543i	0.395747	+	0.395747i	−0.480983	+	0.876730i	$0.659720\pi$
$84$	−2.67952	+	3.58523i	−0.292360	+	0.391180i
$85$	9.06225	+	6.79935i	0.982939	+	0.737493i
$86$	1.72202	+	3.43682i	0.185690	+	0.370602i
$87$	7.80743	+	7.80743i	0.837044	+	0.837044i
$88$	4.56759	+	6.56224i	0.486906	+	0.699537i
$89$			3.80829i			0.403678i	0.979419	+	0.201839i	$0.0646917\pi$
$89$			3.80829i			0.403678i	−0.979419	+	0.201839i	$0.935308\pi$
$90$	−6.24950	−	1.13207i	−0.658755	−	0.119330i
$91$	−6.43997			−0.675093
$92$	−7.44210	+	1.07591i	−0.775893	+	0.112172i
$93$	0.986874	−	0.986874i	0.102334	−	0.102334i
$94$	3.22799	+	6.44245i	0.332942	+	0.664488i
$95$	4.33394	−	0.618303i	0.444653	−	0.0634365i
$96$	−9.24884	+	8.64457i	−0.943956	+	0.882283i
$97$	−8.66523	+	8.66523i	−0.879821	+	0.879821i	−0.993516	−	0.113695i	$-0.963731\pi$
$97$	−8.66523	+	8.66523i	−0.879821	+	0.879821i	0.113695	+	0.993516i	$0.463731\pi$
$98$	0.446087	−	1.34202i	0.0450616	−	0.135564i
$99$		−	5.67740i		−	0.570600i
$100$	−9.36458	−	3.50780i	−0.936458	−	0.350780i
$101$			0.815431i			0.0811384i	0.999177	+	0.0405692i	$0.0129171\pi$
$101$			0.815431i			0.0811384i	−0.999177	+	0.0405692i	$0.987083\pi$
$102$	−15.2171	−	5.05816i	−1.50671	−	0.500832i
$103$	10.7888	−	10.7888i	1.06305	−	1.06305i	0.0651784	−	0.997874i	$-0.479238\pi$
$103$	10.7888	−	10.7888i	1.06305	−	1.06305i	0.997874	−	0.0651784i	$-0.0207617\pi$
$104$	−17.9293	−	3.21324i	−1.75812	−	0.315084i
$105$	4.95405	−	0.706771i	0.483466	−	0.0689738i
$106$	1.03306	−	0.517616i	0.100340	−	0.0502754i
$107$	2.98159	−	2.98159i	0.288241	−	0.288241i	−0.548143	−	0.836384i	$-0.684665\pi$
$107$	2.98159	−	2.98159i	0.288241	−	0.288241i	0.836384	+	0.548143i	$0.184665\pi$
$108$	−4.39251	+	0.635031i	−0.422670	+	0.0611059i
$109$	−16.4979			−1.58021			−0.790104	−	0.612972i	$-0.789974\pi$
$109$	−16.4979			−1.58021			−0.790104	+	0.612972i	$0.789974\pi$
$110$	1.59334	−	8.79594i	0.151919	−	0.838660i
$111$			0.518130i			0.0491787i
$112$	1.91154	−	3.51369i	0.180623	−	0.332013i
$113$	−3.30913	−	3.30913i	−0.311297	−	0.311297i	0.534115	−	0.845412i	$-0.320645\pi$
$113$	−3.30913	−	3.30913i	−0.311297	−	0.311297i	−0.845412	+	0.534115i	$0.820645\pi$
$114$	−5.53989	+	2.77576i	−0.518858	+	0.259974i
$115$	6.72467	+	5.04548i	0.627079	+	0.470493i
$116$	−7.90384	−	5.90717i	−0.733853	−	0.548467i
$117$	9.14588	+	9.14588i	0.845537	+	0.845537i
$118$	−6.13911	+	18.4690i	−0.565151	+	1.70021i
$119$	5.06667			0.464461
$120$	14.1451	+	0.504133i	1.29126	+	0.0460209i
$121$	−3.00927			−0.273570
$122$	−3.27803	+	9.86168i	−0.296779	+	0.892835i
$123$	−19.5747	−	19.5747i	−1.76500	−	1.76500i
$124$	−0.746677	+	0.999061i	−0.0670536	+	0.0897184i
$125$	4.61118	+	10.1851i	0.412437	+	0.910986i
$126$	−2.53942	+	1.27237i	−0.226229	+	0.113352i
$127$	2.72420	+	2.72420i	0.241734	+	0.241734i	0.817567	−	0.575833i	$-0.195322\pi$
$127$	2.72420	+	2.72420i	0.241734	+	0.241734i	−0.575833	+	0.817567i	$0.695322\pi$
$128$	7.07502	−	8.82859i	0.625349	−	0.780345i
$129$			6.08317i			0.535593i
$130$	11.6029	+	16.7364i	1.01764	+	1.46788i
$131$	−12.6712			−1.10709			−0.553543	−	0.832821i	$-0.686725\pi$
$131$	−12.6712			−1.10709			−0.553543	+	0.832821i	$0.686725\pi$
$132$	1.81036	+	12.5222i	0.157571	+	1.08992i
$133$	1.38439	−	1.38439i	0.120042	−	0.120042i
$134$	6.64100	−	3.32747i	0.573695	−	0.287450i
$135$	3.96907	+	2.97797i	0.341603	+	0.256303i
$136$	14.1060	+	2.52802i	1.20958	+	0.216776i
$137$	10.2235	−	10.2235i	0.873448	−	0.873448i	−0.119398	−	0.992846i	$-0.538096\pi$
$137$	10.2235	−	10.2235i	0.873448	−	0.873448i	0.992846	+	0.119398i	$0.0380964\pi$
$138$	−11.2919	−	3.75342i	−0.961228	−	0.319513i
$139$		−	11.0952i		−	0.941084i	−0.882378	−	0.470542i	$-0.844058\pi$
$139$		−	11.0952i		−	0.941084i	0.882378	−	0.470542i	$-0.155942\pi$
$140$	−4.29138	+	1.25860i	−0.362688	+	0.106371i
$141$			11.4031i			0.960317i
$142$	−5.86050	+	17.6308i	−0.491802	+	1.47955i
$143$	−12.8725	+	12.8725i	−1.07645	+	1.07645i
$144$	−7.70477	+	2.27533i	−0.642064	+	0.189611i
$145$	1.55812	+	10.9215i	0.129395	+	0.906980i
$146$	4.94603	+	9.87133i	0.409336	+	0.816957i
$147$	1.58247	−	1.58247i	0.130520	−	0.130520i
$148$	−0.0662535	−	0.458275i	−0.00544600	−	0.0376700i
$149$	5.32733			0.436432			0.218216	−	0.975900i	$-0.429976\pi$
$149$	5.32733			0.436432			0.218216	+	0.975900i	$0.429976\pi$
$150$	−10.7625	−	11.6013i	−0.878751	−	0.947245i
$151$		−	1.23840i		−	0.100780i	−0.998730	−	0.0503898i	$-0.983954\pi$
$151$		−	1.23840i		−	0.100780i	0.998730	−	0.0503898i	$-0.0160464\pi$
$152$	4.54498	−	3.16349i	0.368646	−	0.256593i
$153$	−7.19555	−	7.19555i	−0.581726	−	0.581726i
$154$	−1.79082	−	3.57413i	−0.144308	−	0.288012i
$155$	1.38050	−	0.196949i	0.110884	−	0.0158193i
$156$	−23.0888	−	17.2561i	−1.84858	−	1.38159i
$157$	−13.2239	−	13.2239i	−1.05538	−	1.05538i	−0.998374	−	0.0570088i	$-0.981844\pi$
$157$	−13.2239	−	13.2239i	−1.05538	−	1.05538i	−0.0570088	−	0.998374i	$-0.518156\pi$
$158$	−1.66203	−	0.552461i	−0.132224	−	0.0439514i
$159$	1.82852			0.145011
$160$	−12.5755	+	1.36284i	−0.994179	+	0.107742i
$161$	3.75974			0.296309
$162$	−14.7508	−	4.90316i	−1.15893	−	0.385229i
$163$	14.7264	+	14.7264i	1.15346	+	1.15346i	0.985854	+	0.167609i	$0.0536046\pi$
$163$	14.7264	+	14.7264i	1.15346	+	1.15346i	0.167609	+	0.985854i	$0.446395\pi$
$164$	19.8165	+	14.8104i	1.54741	+	1.15650i
$165$	8.48964	−	11.3151i	0.660917	−	0.880878i
$166$	−3.23021	−	6.44688i	−0.250713	−	0.500375i
$167$	0.847722	+	0.847722i	0.0655987	+	0.0655987i	0.739145	−	0.673546i	$-0.235230\pi$
$167$	0.847722	+	0.847722i	0.0655987	+	0.0655987i	−0.673546	+	0.739145i	$0.735230\pi$
$168$	5.19529	−	3.61613i	0.400825	−	0.278991i
$169$		−	28.4732i		−	2.19025i
$170$	−9.12859	−	13.1674i	−0.700131	−	1.00989i
$171$	−3.93214			−0.300699
$172$	−0.777856	−	5.38043i	−0.0593110	−	0.410254i
$173$	−9.11167	+	9.11167i	−0.692748	+	0.692748i	−0.962836	−	0.270088i	$-0.912947\pi$
$173$	−9.11167	+	9.11167i	−0.692748	+	0.692748i	0.270088	+	0.962836i	$0.412947\pi$
$174$	−6.99490	−	13.9605i	−0.530282	−	1.05834i
$175$	4.38316	+	2.40581i	0.331336	+	0.181862i
$176$	−3.20245	−	10.8442i	−0.241393	−	0.817410i
$177$	−21.7782	+	21.7782i	−1.63695	+	1.63695i
$178$	1.69883	−	5.11078i	0.127332	−	0.383069i
$179$			12.9771i			0.969952i	0.874528	+	0.484976i	$0.161172\pi$
$179$			12.9771i			0.969952i	−0.874528	+	0.484976i	$0.838828\pi$
$180$	7.88193	+	4.30707i	0.587485	+	0.321030i
$181$		−	19.4138i		−	1.44301i	−0.692407	−	0.721507i	$-0.743450\pi$
$181$		−	19.4138i		−	1.44301i	0.692407	−	0.721507i	$-0.256550\pi$
$182$	8.64255	+	2.87279i	0.640628	+	0.212945i
$183$	−11.6286	+	11.6286i	−0.859614	+	0.859614i
$184$	10.4674	+	1.87593i	0.771665	+	0.138295i
$185$	−0.310694	+	0.414097i	−0.0228427	+	0.0304450i
$186$	−1.76463	+	0.884169i	−0.129389	+	0.0648304i
$187$	10.1275	−	10.1275i	0.740594	−	0.740594i
$188$	−1.45812	−	10.0858i	−0.106345	−	0.735585i
$189$	2.21909			0.161415
$190$	−6.09203	−	1.10354i	−0.441962	−	0.0800592i
$191$			3.58447i			0.259363i	0.991556	+	0.129682i	$0.0413955\pi$
$191$			3.58447i			0.259363i	−0.991556	+	0.129682i	$0.958605\pi$
$192$	16.2683	−	7.47537i	1.17407	−	0.539488i
$193$	8.94740	+	8.94740i	0.644048	+	0.644048i	0.951548	−	0.307500i	$-0.0994924\pi$
$193$	8.94740	+	8.94740i	0.644048	+	0.644048i	−0.307500	+	0.951548i	$0.599492\pi$
$194$	15.4943	−	7.76343i	1.11243	−	0.557382i
$195$	4.55159	+	31.9039i	0.325946	+	2.28469i
$196$	−1.19731	+	1.60201i	−0.0855222	+	0.114430i
$197$	−9.38964	−	9.38964i	−0.668984	−	0.668984i	0.288497	−	0.957481i	$-0.406845\pi$
$197$	−9.38964	−	9.38964i	−0.668984	−	0.668984i	−0.957481	+	0.288497i	$0.906845\pi$
$198$	−2.53261	+	7.61916i	−0.179985	+	0.541470i
$199$	10.9814			0.778454			0.389227	−	0.921142i	$-0.372742\pi$
$199$	10.9814			0.778454			0.389227	+	0.921142i	$0.372742\pi$
$200$	11.0026	+	8.88493i	0.778004	+	0.628260i
$201$	11.7546			0.829103
$202$	0.363753	−	1.09432i	0.0255936	−	0.0769961i
$203$	3.48865	+	3.48865i	0.244855	+	0.244855i
$204$	18.1652	+	13.5763i	1.27182	+	0.950528i
$205$	−3.90651	−	27.3823i	−0.272842	−	1.91246i
$206$	−19.2915	+	9.66600i	−1.34410	+	0.673462i
$207$	−5.33948	−	5.33948i	−0.371119	−	0.371119i
$208$	22.6281	+	12.3103i	1.56897	+	0.853563i
$209$		−	5.53435i		−	0.382819i
$210$	−6.96370	−	1.26144i	−0.480541	−	0.0870475i
$211$	−22.3889			−1.54132			−0.770659	−	0.637248i	$-0.780073\pi$
$211$	−22.3889			−1.54132			−0.770659	+	0.637248i	$0.780073\pi$
$212$	−1.61729	+	0.233814i	−0.111076	+	0.0160584i
$213$	−20.7898	+	20.7898i	−1.42450	+	1.42450i
$214$	−5.33139	+	2.67129i	−0.364446	+	0.182606i
$215$	−3.64774	+	4.86175i	−0.248774	+	0.331569i
$216$	6.17810	+	1.10722i	0.420366	+	0.0753367i
$217$	0.440972	−	0.440972i	0.0299351	−	0.0299351i
$218$	22.1404	+	7.35948i	1.49954	+	0.498447i
$219$			17.4723i			1.18067i
$220$	−6.06204	+	11.0935i	−0.408703	+	0.747925i
$221$			32.6292i			2.19488i
$222$	0.231131	−	0.695339i	0.0155125	−	0.0466681i
$223$	10.1306	−	10.1306i	0.678393	−	0.678393i	−0.281243	−	0.959637i	$-0.590747\pi$
$223$	10.1306	−	10.1306i	0.678393	−	0.678393i	0.959637	+	0.281243i	$0.0907468\pi$
$224$	−4.13273	+	3.86272i	−0.276129	+	0.258089i
$225$	−2.80818	−	9.64151i	−0.187212	−	0.642768i
$226$	2.96475	+	5.91707i	0.197212	+	0.393598i
$227$	7.95887	−	7.95887i	0.528249	−	0.528249i	−0.391801	−	0.920050i	$-0.628148\pi$
$227$	7.95887	−	7.95887i	0.528249	−	0.528249i	0.920050	+	0.391801i	$0.128148\pi$
$228$	8.67285	−	1.25385i	0.574374	−	0.0830380i
$229$	−3.77331			−0.249347			−0.124674	−	0.992198i	$-0.539788\pi$
$229$	−3.77331			−0.249347			−0.124674	+	0.992198i	$0.539788\pi$
$230$	−6.77390	−	9.77090i	−0.446657	−	0.644274i
$231$		−	6.32622i		−	0.416234i
$232$	7.97197	+	11.4533i	0.523386	+	0.751947i
$233$	−1.67243	−	1.67243i	−0.109565	−	0.109565i	0.650199	−	0.759764i	$-0.274685\pi$
$233$	−1.67243	−	1.67243i	−0.109565	−	0.109565i	−0.759764	+	0.650199i	$0.774685\pi$
$234$	−8.19406	−	16.3538i	−0.535662	−	1.06908i
$235$	−6.83783	+	9.11354i	−0.446051	+	0.594502i
$236$	16.4776	−	22.0471i	1.07260	−	1.43515i
$237$	−1.95983	−	1.95983i	−0.127304	−	0.127304i
$238$	−6.79955	−	2.26017i	−0.440749	−	0.146505i
$239$	10.0745			0.651662			0.325831	−	0.945428i	$-0.394356\pi$
$239$	10.0745			0.651662			0.325831	+	0.945428i	$0.394356\pi$
$240$	−18.7580	−	6.98648i	−1.21083	−	0.450976i
$241$	14.6243			0.942033			0.471017	−	0.882124i	$-0.343887\pi$
$241$	14.6243			0.942033			0.471017	+	0.882124i	$0.343887\pi$
$242$	4.03849	+	1.34239i	0.259604	+	0.0862924i
$243$	−12.6863	−	12.6863i	−0.813829	−	0.813829i
$244$	8.79833	−	11.7722i	0.563255	−	0.753641i
$245$	2.21365	−	0.315812i	0.141425	−	0.0201765i
$246$	17.5376	+	35.0017i	1.11816	+	2.23162i
$247$	8.91543	+	8.91543i	0.567275	+	0.567275i
$248$	1.44772	−	1.00767i	0.0919304	−	0.0639873i
$249$		−	11.4110i		−	0.723141i
$250$	−1.64483	−	15.7256i	−0.104028	−	0.994574i
$251$	10.9829			0.693234			0.346617	−	0.938007i	$-0.387330\pi$
$251$	10.9829			0.693234			0.346617	+	0.938007i	$0.387330\pi$
$252$	3.97553	−	0.574747i	0.250435	−	0.0362057i
$253$	7.51512	−	7.51512i	0.472471	−	0.472471i
$254$	−2.44069	−	4.87116i	−0.153143	−	0.305644i
$255$	−3.58098	−	25.1005i	−0.224249	−	1.57186i
$256$	−13.4331	+	8.69204i	−0.839569	+	0.543252i
$257$	2.76595	−	2.76595i	0.172535	−	0.172535i	−0.615557	−	0.788092i	$-0.711069\pi$
$257$	2.76595	−	2.76595i	0.172535	−	0.172535i	0.788092	+	0.615557i	$0.211069\pi$
$258$	2.71362	−	8.16371i	0.168943	−	0.508250i
$259$			0.231520i			0.0143859i
$260$	−8.10535	−	27.6364i	−0.502673	−	1.71393i
$261$		−	9.90897i		−	0.613350i
$262$	17.0049	+	5.65244i	1.05057	+	0.349209i
$263$	11.6906	−	11.6906i	0.720871	−	0.720871i	−0.247911	−	0.968783i	$-0.579744\pi$
$263$	11.6906	−	11.6906i	0.720871	−	0.720871i	0.968783	+	0.247911i	$0.0797442\pi$
$264$	3.15648	−	17.6126i	0.194268	−	1.08398i
$265$	1.46138	+	1.09646i	0.0897719	+	0.0673553i
$266$	−2.47543	+	1.24031i	−0.151778	+	0.0760485i
$267$	6.02650	−	6.02650i	0.368816	−	0.368816i
$268$	−10.3967	+	1.50306i	−0.635077	+	0.0918140i
$269$	21.1574			1.28999			0.644995	−	0.764187i	$-0.276859\pi$
$269$	21.1574			1.28999			0.644995	+	0.764187i	$0.276859\pi$
$270$	−3.99812	−	5.76703i	−0.243318	−	0.350970i
$271$		−	3.55238i		−	0.215791i	−0.994162	−	0.107896i	$-0.965589\pi$
$271$		−	3.55238i		−	0.215791i	0.994162	−	0.107896i	$-0.0344113\pi$
$272$	−17.8027	−	9.68513i	−1.07945	−	0.587247i
$273$	10.1911	+	10.1911i	0.616792	+	0.616792i
$274$	−18.2806	+	9.15949i	−1.10437	+	0.553345i
$275$	13.5701	−	3.95240i	0.818306	−	0.238339i
$276$	13.4795	+	10.0743i	0.811371	+	0.606402i
$277$	−2.24250	−	2.24250i	−0.134739	−	0.134739i	0.636521	−	0.771260i	$-0.280373\pi$
$277$	−2.24250	−	2.24250i	−0.134739	−	0.134739i	−0.771260	+	0.636521i	$0.780373\pi$
$278$	−4.94943	+	14.8900i	−0.296847	+	0.893040i
$279$	−1.25251			−0.0749860
$280$	6.32054	+	0.225266i	0.377725	+	0.0134622i
$281$	−24.4415			−1.45806			−0.729028	−	0.684484i	$-0.760028\pi$
$281$	−24.4415			−1.45806			−0.729028	+	0.684484i	$0.760028\pi$
$282$	5.08679	−	15.3032i	0.302914	−	0.911292i
$283$	−16.8789	−	16.8789i	−1.00334	−	1.00334i	−0.999994	−	0.00335029i	$-0.998934\pi$
$283$	−16.8789	−	16.8789i	−1.00334	−	1.00334i	−0.00335029	−	0.999994i	$-0.501066\pi$
$284$	15.7298	−	21.0466i	0.933390	−	1.24888i
$285$	−7.83678	−	5.87989i	−0.464211	−	0.348294i
$286$	23.0173	−	11.5328i	1.36104	−	0.681951i
$287$	−8.74673	−	8.74673i	−0.516303	−	0.516303i
$288$	11.3549	+	0.383461i	0.669095	+	0.0225957i
$289$		−	8.67112i		−	0.510066i
$290$	2.78091	−	15.3519i	0.163301	−	0.901493i
$291$	27.4250			1.60768
$292$	−2.23418	−	15.4538i	−0.130746	−	0.904367i
$293$	−20.4505	+	20.4505i	−1.19473	+	1.19473i	−0.219011	+	0.975722i	$0.570283\pi$
$293$	−20.4505	+	20.4505i	−1.19473	+	1.19473i	−0.975722	+	0.219011i	$0.929717\pi$
$294$	−2.82962	+	1.41778i	−0.165027	+	0.0826867i
$295$	−30.4646	+	4.34624i	−1.77372	+	0.253048i
$296$	−0.115517	+	0.644567i	−0.00671431	+	0.0374647i
$297$	4.43561	−	4.43561i	0.257380	−	0.257380i
$298$	−7.14936	−	2.37645i	−0.414152	−	0.137664i
$299$			24.2126i			1.40025i
$300$	9.26819	+	20.3702i	0.535099	+	1.17607i
$301$			2.71818i			0.156674i
$302$	−0.552434	+	1.66195i	−0.0317890	+	0.0956346i
$303$	1.29040	−	1.29040i	0.0741313	−	0.0741313i
$304$	−7.51063	+	2.21800i	−0.430764	+	0.127211i
$305$	−16.2668	+	2.32071i	−0.931436	+	0.132884i
$306$	6.44670	+	12.8664i	0.368533	+	0.735522i
$307$	1.57219	−	1.57219i	0.0897295	−	0.0897295i	−0.660817	−	0.750547i	$-0.729790\pi$
$307$	1.57219	−	1.57219i	0.0897295	−	0.0897295i	0.750547	+	0.660817i	$0.229790\pi$
$308$	0.808935	+	5.59540i	0.0460934	+	0.318828i
$309$	−34.1459			−1.94249
$310$	−1.94051	−	0.351513i	−0.110213	−	0.0199646i
$311$		−	27.2917i		−	1.54757i	−0.633448	−	0.773786i	$-0.718361\pi$
$311$		−	27.2917i		−	1.54757i	0.633448	−	0.773786i	$-0.281639\pi$
$312$	23.2878	+	33.4575i	1.31841	+	1.89416i
$313$	−5.70233	−	5.70233i	−0.322315	−	0.322315i	0.527340	−	0.849655i	$-0.323190\pi$
$313$	−5.70233	−	5.70233i	−0.322315	−	0.322315i	−0.849655	+	0.527340i	$0.823190\pi$
$314$	11.8477	+	23.6457i	0.668603	+	1.33440i
$315$	−3.59228	−	2.69527i	−0.202402	−	0.151861i
$316$	1.98403	+	1.48282i	0.111610	+	0.0834152i
$317$	−2.30713	−	2.30713i	−0.129581	−	0.129581i	0.639342	−	0.768923i	$-0.279207\pi$
$317$	−2.30713	−	2.30713i	−0.129581	−	0.129581i	−0.768923	+	0.639342i	$0.779207\pi$
$318$	−2.45391	−	0.815679i	−0.137608	−	0.0457410i
$319$	13.9465			0.780855
$320$	17.4844	+	3.78080i	0.977410	+	0.211353i
$321$	−9.43656			−0.526697
$322$	−5.04563	−	1.67717i	−0.281182	−	0.0934650i
$323$	−7.01424	−	7.01424i	−0.390283	−	0.390283i
$324$	17.6085	+	13.1602i	0.978252	+	0.731125i
$325$	−15.4934	+	28.2274i	−0.859417	+	1.56578i
$326$	−13.1938	−	26.3324i	−0.730739	−	1.45841i
$327$	26.1074	+	26.1074i	1.44374	+	1.44374i
$328$	−19.9873	−	28.7157i	−1.10361	−	1.58556i
$329$			5.09534i			0.280915i
$330$	−16.4407	+	11.3979i	−0.905033	+	0.627434i
$331$	10.5777			0.581405			0.290702	−	0.956814i	$-0.406111\pi$
$331$	10.5777			0.581405			0.290702	+	0.956814i	$0.406111\pi$
$332$	1.45913	+	10.0928i	0.0800799	+	0.553913i
$333$	0.328798	−	0.328798i	0.0180180	−	0.0180180i
$334$	−0.759499	−	1.51581i	−0.0415579	−	0.0829417i
$335$	9.39441	+	7.04857i	0.513271	+	0.385104i
$336$	−8.58527	+	2.53536i	−0.468365	+	0.138315i
$337$	−9.26280	+	9.26280i	−0.504577	+	0.504577i	−0.912857	−	0.408280i	$-0.866129\pi$
$337$	−9.26280	+	9.26280i	−0.504577	+	0.504577i	0.408280	+	0.912857i	$0.366129\pi$
$338$	−12.7015	+	38.2115i	−0.690873	+	2.07843i
$339$			10.4732i			0.568827i
$340$	6.37691	+	21.7430i	0.345836	+	1.17918i
$341$		−	1.76287i		−	0.0954645i
$342$	5.27700	+	1.75408i	0.285347	+	0.0948497i
$343$	0.707107	−	0.707107i	0.0381802	−	0.0381802i
$344$	−1.35624	+	7.56762i	−0.0731238	+	0.408019i
$345$	−2.65727	−	18.6259i	−0.143063	−	1.00279i
$346$	16.2926	−	8.16341i	0.875896	−	0.438868i
$347$	12.3710	−	12.3710i	0.664108	−	0.664108i	−0.292238	−	0.956346i	$-0.594400\pi$
$347$	12.3710	−	12.3710i	0.664108	−	0.664108i	0.956346	+	0.292238i	$0.0943999\pi$
$348$	3.15968	+	21.8555i	0.169377	+	1.17158i
$349$	−0.390947			−0.0209269			−0.0104635	−	0.999945i	$-0.503331\pi$
$349$	−0.390947			−0.0209269			−0.0104635	+	0.999945i	$0.503331\pi$
$350$	−4.80907	−	5.18391i	−0.257055	−	0.277091i
$351$			14.2909i			0.762790i
$352$	−0.539707	+	15.9816i	−0.0287665	+	0.851823i
$353$	17.0409	+	17.0409i	0.906997	+	0.906997i	0.996029	−	0.0890322i	$-0.0283774\pi$
$353$	17.0409	+	17.0409i	0.906997	+	0.906997i	−0.0890322	+	0.996029i	$0.528377\pi$
$354$	38.9416	−	19.5117i	2.06972	−	1.03704i
$355$	−29.0821	+	4.14900i	−1.54351	+	0.220206i
$356$	−4.55970	+	6.10092i	−0.241664	+	0.323348i
$357$	−8.01785	−	8.01785i	−0.424350	−	0.424350i
$358$	5.78890	−	17.4154i	0.305953	−	0.920434i
$359$	−32.0409			−1.69105			−0.845526	−	0.533934i	$-0.820713\pi$
$359$	−32.0409			−1.69105			−0.845526	+	0.533934i	$0.820713\pi$
$360$	−8.65635	−	9.29618i	−0.456230	−	0.489952i
$361$	15.1669			0.798260
$362$	−8.66023	+	26.0536i	−0.455171	+	1.36935i
$363$	4.76208	+	4.76208i	0.249944	+	0.249944i
$364$	−10.3169	−	7.71065i	−0.540754	−	0.404148i
$365$	−10.4772	+	13.9641i	−0.548399	+	0.730913i
$366$	20.7932	−	10.4184i	1.08688	−	0.544581i
$367$	3.02184	+	3.02184i	0.157739	+	0.157739i	0.781564	−	0.623825i	$-0.214422\pi$
$367$	3.02184	+	3.02184i	0.157739	+	0.157739i	−0.623825	+	0.781564i	$0.714422\pi$
$368$	−13.2106	−	7.18688i	−0.688648	−	0.374642i
$369$			24.8437i			1.29331i
$370$	0.601680	−	0.417128i	0.0312798	−	0.0216854i
$371$	0.817051			0.0424192
$372$	2.76258	−	0.399390i	0.143233	−	0.0207074i
$373$	−5.51920	+	5.51920i	−0.285773	+	0.285773i	−0.835406	−	0.549633i	$-0.814768\pi$
$373$	−5.51920	+	5.51920i	−0.285773	+	0.285773i	0.549633	+	0.835406i	$0.314768\pi$
$374$	−18.1089	+	9.07349i	−0.936391	+	0.469179i
$375$	8.82062	−	23.4147i	0.455495	−	1.20913i
$376$	−2.54233	+	14.1858i	−0.131111	+	0.731577i
$377$	−22.4668	+	22.4668i	−1.15710	+	1.15710i
$378$	−2.97805	−	0.989906i	−0.153174	−	0.0509153i
$379$			27.5772i			1.41655i	0.705939	+	0.708273i	$0.250525\pi$
$379$			27.5772i			1.41655i	−0.705939	+	0.708273i	$0.749475\pi$
$380$	7.68333	+	4.19854i	0.394146	+	0.215381i
$381$		−	8.62195i		−	0.441716i
$382$	1.59898	−	4.81041i	0.0818111	−	0.246122i
$383$	12.4786	−	12.4786i	0.637624	−	0.637624i	−0.312345	−	0.949969i	$-0.601114\pi$
$383$	12.4786	−	12.4786i	0.637624	−	0.637624i	0.949969	+	0.312345i	$0.101114\pi$
$384$	−25.1670	+	2.77498i	−1.28430	+	0.141610i
$385$	3.79348	−	5.05600i	0.193334	−	0.257678i
$386$	−8.01624	−	15.9989i	−0.408016	−	0.814321i
$387$	3.86029	−	3.86029i	0.196230	−	0.196230i
$388$	−24.2568	+	3.50684i	−1.23145	+	0.178033i
$389$	11.3268			0.574290			0.287145	−	0.957887i	$-0.407294\pi$
$389$	11.3268			0.574290			0.287145	+	0.957887i	$0.407294\pi$
$390$	8.12363	−	44.8460i	0.411356	−	2.27087i
$391$		−	19.0493i		−	0.963366i
$392$	2.32145	−	1.61582i	0.117251	−	0.0816114i
$393$	20.0518	+	20.0518i	1.01148	+	1.01148i
$394$	8.41245	+	16.7896i	0.423813	+	0.845850i
$395$	−0.391120	−	2.74152i	−0.0196794	−	0.137941i
$396$	6.79762	−	9.09527i	0.341593	−	0.457055i
$397$	16.8770	+	16.8770i	0.847031	+	0.847031i	0.989762	−	0.142730i	$-0.0455882\pi$
$397$	16.8770	+	16.8770i	0.847031	+	0.847031i	−0.142730	+	0.989762i	$0.545588\pi$
$398$	−14.7373	−	4.89868i	−0.738713	−	0.245549i
$399$	−4.38151			−0.219350
$400$	−10.8023	−	16.8319i	−0.540113	−	0.841593i
$401$	−18.0737			−0.902555			−0.451278	−	0.892384i	$-0.649032\pi$
$401$	−18.0737			−0.902555			−0.451278	+	0.892384i	$0.649032\pi$
$402$	−15.7748	−	5.24356i	−0.786776	−	0.261525i
$403$	2.83985	+	2.83985i	0.141463	+	0.141463i
$404$	−0.976324	+	1.30633i	−0.0485739	+	0.0649924i
$405$	−3.47124	−	24.3314i	−0.172488	−	1.20904i
$406$	−3.12558	−	6.23806i	−0.155120	−	0.309590i
$407$	0.462771	+	0.462771i	0.0229387	+	0.0229387i
$408$	−18.3217	−	26.3228i	−0.907061	−	1.30317i
$409$		−	21.9820i		−	1.08694i	−0.839428	−	0.543471i	$-0.817110\pi$
$409$		−	21.9820i		−	1.08694i	0.839428	−	0.543471i	$-0.182890\pi$
$410$	−6.97229	+	38.4901i	−0.344337	+	1.90089i
$411$	−32.3566			−1.59604
$412$	30.2013	−	4.36625i	1.48791	−	0.215110i
$413$	−9.73130	+	9.73130i	−0.478846	+	0.478846i
$414$	4.78379	+	9.54754i	0.235111	+	0.469236i
$415$	6.84254	−	9.11981i	0.335887	−	0.447674i
$416$	−24.8758	−	26.6146i	−1.21964	−	1.30489i
$417$	−17.5579	+	17.5579i	−0.859812	+	0.859812i
$418$	−2.46880	+	7.42718i	−0.120753	+	0.363275i
$419$			3.91080i			0.191055i	0.995427	+	0.0955276i	$0.0304538\pi$
$419$			3.91080i			0.191055i	−0.995427	+	0.0955276i	$0.969546\pi$
$420$	8.78268	+	4.79928i	0.428551	+	0.234181i
$421$		−	5.53474i		−	0.269747i	−0.990863	−	0.134873i	$-0.956937\pi$
$421$		−	5.53474i		−	0.269747i	0.990863	−	0.134873i	$-0.0430628\pi$
$422$	30.0463	+	9.98741i	1.46263	+	0.486179i
$423$	7.23627	−	7.23627i	0.351840	−	0.351840i
$424$	2.27473	+	0.407670i	0.110471	+	0.0197982i
$425$	12.1894	−	22.2080i	0.591275	−	1.07725i
$426$	37.1744	−	18.6262i	1.80110	−	0.902443i
$427$	−5.19611	+	5.19611i	−0.251457	+	0.251457i
$428$	8.34644	−	1.20666i	0.403440	−	0.0583259i
$429$	40.7407			1.96698
$430$	7.06409	−	4.89734i	0.340661	−	0.236171i
$431$			6.93854i			0.334218i	0.985938	+	0.167109i	$0.0534432\pi$
$431$			6.93854i			0.334218i	−0.985938	+	0.167109i	$0.946557\pi$
$432$	−7.79719	−	4.24187i	−0.375143	−	0.204087i
$433$	−12.0590	−	12.0590i	−0.579521	−	0.579521i	0.355250	−	0.934771i	$-0.384396\pi$
$433$	−12.0590	−	12.0590i	−0.579521	−	0.579521i	−0.934771	+	0.355250i	$0.884396\pi$
$434$	−0.788503	+	0.395080i	−0.0378494	+	0.0189644i
$435$	14.8173	−	19.7486i	0.710433	−	0.946874i
$436$	−26.4298	−	19.7531i	−1.26576	−	0.946001i
$437$	−5.20494	−	5.20494i	−0.248986	−	0.248986i
$438$	7.79414	−	23.4480i	0.372418	−	1.12039i
$439$	−34.1283			−1.62885			−0.814427	−	0.580266i	$-0.802949\pi$
$439$	−34.1283			−1.62885			−0.814427	+	0.580266i	$0.802949\pi$
$440$	13.0840	−	12.1835i	0.623757	−	0.580825i
$441$	−2.00843			−0.0956395
$442$	14.5555	−	43.7889i	0.692332	−	2.08283i
$443$	23.2054	+	23.2054i	1.10252	+	1.10252i	0.994106	+	0.108416i	$0.0345780\pi$
$443$	23.2054	+	23.2054i	1.10252	+	1.10252i	0.108416	+	0.994106i	$0.465422\pi$
$444$	−0.620363	+	0.830051i	−0.0294411	+	0.0393925i
$445$	8.43023	−	1.20270i	0.399631	−	0.0570135i
$446$	−18.1145	+	9.07627i	−0.857747	+	0.429774i
$447$	−8.43035	−	8.43035i	−0.398742	−	0.398742i
$448$	7.26929	−	3.34027i	0.343442	−	0.157813i
$449$			15.7953i			0.745428i	0.927946	+	0.372714i	$0.121573\pi$
$449$			15.7953i			0.745428i	−0.927946	+	0.372714i	$0.878427\pi$
$450$	−0.532336	+	14.1918i	−0.0250945	+	0.669006i
$451$	−34.9666			−1.64651
$452$	−1.33921	−	9.26334i	−0.0629913	−	0.435711i
$453$	−1.95973	+	1.95973i	−0.0920762	+	0.0920762i
$454$	−14.2313	+	7.13058i	−0.667907	+	0.334655i
$455$	2.03382	+	14.2559i	0.0953469	+	0.668325i
$456$	−12.1984	−	2.18616i	−0.571244	−	0.102377i
$457$	15.7317	−	15.7317i	0.735898	−	0.735898i	−0.235883	−	0.971781i	$-0.575798\pi$
$457$	15.7317	−	15.7317i	0.735898	−	0.735898i	0.971781	+	0.235883i	$0.0757982\pi$
$458$	5.06384	+	1.68322i	0.236618	+	0.0786519i
$459$		−	11.2434i		−	0.524796i
$460$	4.73201	+	16.1345i	0.220631	+	0.752273i
$461$			11.0355i			0.513976i	0.966415	+	0.256988i	$0.0827301\pi$
$461$			11.0355i			0.513976i	−0.966415	+	0.256988i	$0.917270\pi$
$462$	−2.82204	+	8.48988i	−0.131293	+	0.394985i
$463$	−11.9917	+	11.9917i	−0.557303	+	0.557303i	−0.928539	−	0.371235i	$-0.878934\pi$
$463$	−11.9917	+	11.9917i	−0.557303	+	0.557303i	0.371235	+	0.928539i	$0.378934\pi$
$464$	−5.58934	−	18.9267i	−0.259479	−	0.878651i
$465$	−2.49626	−	1.87293i	−0.115761	−	0.0868551i
$466$	1.49838	+	2.99048i	0.0694111	+	0.138531i
$467$	18.2178	−	18.2178i	0.843020	−	0.843020i	−0.146231	−	0.989250i	$-0.546714\pi$
$467$	18.2178	−	18.2178i	0.843020	−	0.843020i	0.989250	+	0.146231i	$0.0467142\pi$
$468$	3.70136	+	25.6023i	0.171095	+	1.18347i
$469$	5.25238			0.242532
$470$	13.2419	−	9.18025i	0.610804	−	0.423453i
$471$			41.8529i			1.92848i
$472$	−31.9481	+	22.2372i	−1.47053	+	1.02355i
$473$	5.43322	+	5.43322i	0.249820	+	0.249820i
$474$	1.75587	+	3.50437i	0.0806496	+	0.160961i
$475$	−2.73742	−	9.39857i	−0.125601	−	0.431236i
$476$	8.11687	+	6.06638i	0.372036	+	0.278052i
$477$	−1.16035	−	1.16035i	−0.0531290	−	0.0531290i
$478$	−13.5201	−	4.49408i	−0.618394	−	0.205555i
$479$	−10.6879			−0.488344			−0.244172	−	0.969732i	$-0.578516\pi$
$479$	−10.6879			−0.488344			−0.244172	+	0.969732i	$0.578516\pi$
$480$	22.0570	+	17.7437i	1.00676	+	0.809884i
$481$	−1.49098			−0.0679829
$482$	−19.6260	−	6.52370i	−0.893941	−	0.297146i
$483$	−5.94967	−	5.94967i	−0.270720	−	0.270720i
$484$	−4.82089	−	3.60303i	−0.219131	−	0.163774i
$485$	21.9184	+	16.4452i	0.995263	+	0.746740i
$486$	11.3661	+	22.6845i	0.515575	+	1.02899i
$487$	27.5515	+	27.5515i	1.24848	+	1.24848i	0.956393	+	0.292083i	$0.0943482\pi$
$487$	27.5515	+	27.5515i	1.24848	+	1.24848i	0.292083	+	0.956393i	$0.405652\pi$
$488$	−17.0589	+	11.8737i	−0.772222	+	0.537498i
$489$		−	46.6083i		−	2.10770i
$490$	−3.11164	−	0.563657i	−0.140569	−	0.0254634i
$491$	32.6572			1.47380			0.736900	−	0.676002i	$-0.236289\pi$
$491$	32.6572			1.47380			0.736900	+	0.676002i	$0.236289\pi$
$492$	−7.92194	−	54.7961i	−0.357149	−	2.47040i
$493$	17.6758	−	17.6758i	0.796079	−	0.796079i
$494$	−7.98759	−	15.9417i	−0.359379	−	0.717251i
$495$	−12.5678	+	1.79299i	−0.564881	+	0.0805889i
$496$	−2.39237	+	0.706504i	−0.107421	+	0.0317230i
$497$	−9.28967	+	9.28967i	−0.416699	+	0.416699i
$498$	−5.09029	+	15.3137i	−0.228101	+	0.686224i
$499$		−	13.7570i		−	0.615846i	−0.951411	−	0.307923i	$-0.900366\pi$
$499$		−	13.7570i		−	0.615846i	0.951411	−	0.307923i	$-0.0996340\pi$
$500$	−4.80760	+	21.8377i	−0.215002	+	0.976614i
$501$		−	2.68299i		−	0.119867i
$502$	−14.7392	−	4.89933i	−0.657844	−	0.218668i
$503$	−9.03177	+	9.03177i	−0.402707	+	0.402707i	−0.879186	−	0.476479i	$-0.841913\pi$
$503$	−9.03177	+	9.03177i	−0.402707	+	0.402707i	0.476479	+	0.879186i	$0.341913\pi$
$504$	−5.59161	−	1.00211i	−0.249070	−	0.0446375i
$505$	1.80508	−	0.257523i	0.0803251	−	0.0114596i
$506$	−13.4378	+	6.73301i	−0.597383	+	0.299319i
$507$	−45.0581	+	45.0581i	−2.00110	+	2.00110i
$508$	1.10249	+	7.62593i	0.0489151	+	0.338346i
$509$	25.6404			1.13649			0.568246	−	0.822859i	$-0.307622\pi$
$509$	25.6404			1.13649			0.568246	+	0.822859i	$0.307622\pi$
$510$	−6.39129	+	35.2827i	−0.283011	+	1.56235i
$511$			7.80725i			0.345372i
$512$	21.9049	−	5.67252i	0.968067	−	0.250692i
$513$	−3.07208	−	3.07208i	−0.135636	−	0.135636i
$514$	−4.94580	+	2.47809i	−0.218150	+	0.109304i
$515$	−27.2899	−	20.4754i	−1.20254	−	0.902256i
$516$	−7.28344	+	9.74531i	−0.320636	+	0.429013i
$517$	10.1848	+	10.1848i	0.447926	+	0.447926i
$518$	0.103278	−	0.310703i	0.00453777	−	0.0136515i
$519$	28.8379			1.26584
$520$	−1.45070	+	40.7041i	−0.0636176	+	1.78499i
$521$	32.3214			1.41602			0.708012	−	0.706200i	$-0.249592\pi$
$521$	32.3214			1.41602			0.708012	+	0.706200i	$0.249592\pi$
$522$	−4.42026	+	13.2980i	−0.193470	+	0.582038i
$523$	6.51195	+	6.51195i	0.284748	+	0.284748i	0.834999	−	0.550251i	$-0.185468\pi$
$523$	6.51195	+	6.51195i	0.284748	+	0.284748i	−0.550251	+	0.834999i	$0.685468\pi$
$524$	−20.2994	−	15.1713i	−0.886783	−	0.662763i
$525$	−3.12909	−	10.7433i	−0.136565	−	0.468878i
$526$	−20.9039	+	10.4739i	−0.911455	+	0.456685i
$527$	−2.23426	−	2.23426i	−0.0973258	−	0.0973258i
$528$	−12.0928	+	22.2284i	−0.526272	+	0.967365i
$529$			8.86438i			0.385408i
$530$	−1.47208	−	2.12337i	−0.0639429	−	0.0922335i
$531$	27.6403			1.19949
$532$	3.87535	−	0.560265i	0.168018	−	0.0242906i
$533$	56.3287	−	56.3287i	2.43987	−	2.43987i
$534$	−10.7760	+	5.39932i	−0.466323	+	0.233651i
$535$	−7.54183	−	5.65859i	−0.326062	−	0.244642i
$536$	14.6230	+	2.62068i	0.631617	+	0.113196i
$537$	20.5358	−	20.5358i	0.886187	−	0.886187i
$538$	−28.3936	−	9.43804i	−1.22413	−	0.406903i
$539$		−	2.82679i		−	0.121758i
$540$	2.79295	+	9.52295i	0.120189	+	0.409803i
$541$		−	6.56276i		−	0.282155i	−0.989999	−	0.141078i	$-0.954943\pi$
$541$		−	6.56276i		−	0.282155i	0.989999	−	0.141078i	$-0.0450567\pi$
$542$	−1.58467	+	4.76734i	−0.0680673	+	0.204775i
$543$	−30.7217	+	30.7217i	−1.31840	+	1.31840i
$544$	19.5711	+	20.9392i	0.839104	+	0.897759i
$545$	5.21022	+	36.5206i	0.223181	+	1.56437i
$546$	−9.13048	−	18.2227i	−0.390748	−	0.779859i
$547$	31.1186	−	31.1186i	1.33053	−	1.33053i	0.425644	−	0.904891i	$-0.360048\pi$
$547$	31.1186	−	31.1186i	1.33053	−	1.33053i	0.904891	−	0.425644i	$-0.139952\pi$
$548$	28.6188	−	4.13745i	1.22253	−	0.176743i
$549$	14.7588			0.629888
$550$	−19.9744	−	0.749243i	−0.851710	−	0.0319478i
$551$		−	9.65929i		−	0.411500i
$552$	−13.5957	−	19.5329i	−0.578672	−	0.831376i
$553$	−0.875723	−	0.875723i	−0.0372395	−	0.0372395i
$554$	2.00913	+	4.00983i	0.0853595	+	0.170361i
$555$	1.14696	−	0.163632i	0.0486858	−	0.00694577i
$556$	13.2844	−	17.7747i	0.563385	−	0.753814i
$557$	1.15580	+	1.15580i	0.0489730	+	0.0489730i	0.731169	−	0.682196i	$-0.238975\pi$
$557$	1.15580	+	1.15580i	0.0489730	+	0.0489730i	−0.682196	+	0.731169i	$0.738975\pi$
$558$	1.68089	+	0.558730i	0.0711579	+	0.0236529i
$559$	−17.5050			−0.740384
$560$	−8.38178	−	3.12182i	−0.354195	−	0.131921i
$561$	−32.0528			−1.35327
$562$	32.8009	+	10.9030i	1.38362	+	0.459916i
$563$	−12.3100	−	12.3100i	−0.518804	−	0.518804i	0.398405	−	0.917209i	$-0.369564\pi$
$563$	−12.3100	−	12.3100i	−0.518804	−	0.518804i	−0.917209	+	0.398405i	$0.869564\pi$
$564$	−13.6531	+	18.2680i	−0.574899	+	0.769220i
$565$	−6.28021	+	8.37034i	−0.264211	+	0.352143i
$566$	15.1223	+	30.1812i	0.635636	+	1.26861i
$567$	−7.77216	−	7.77216i	−0.326400	−	0.326400i
$568$	−30.4982	+	21.2280i	−1.27968	+	0.890707i
$569$			4.31820i			0.181028i	0.995895	+	0.0905142i	$0.0288510\pi$
$569$			4.31820i			0.181028i	−0.995895	+	0.0905142i	$0.971149\pi$
$570$	7.89414	+	11.3868i	0.330649	+	0.476940i
$571$	−16.4008			−0.686354			−0.343177	−	0.939271i	$-0.611503\pi$
$571$	−16.4008			−0.686354			−0.343177	+	0.939271i	$0.611503\pi$
$572$	−36.0342	+	5.20952i	−1.50667	+	0.217821i
$573$	5.67232	−	5.67232i	0.236964	−	0.236964i
$574$	7.83645	+	15.6400i	0.327087	+	0.652803i
$575$	9.04522	−	16.4795i	0.377212	−	0.687243i
$576$	−15.0674	−	5.57989i	−0.627809	−	0.232495i
$577$	1.74298	−	1.74298i	0.0725611	−	0.0725611i	−0.669895	−	0.742456i	$-0.733661\pi$
$577$	1.74298	−	1.74298i	0.0725611	−	0.0725611i	0.742456	+	0.669895i	$0.233661\pi$
$578$	−3.86807	+	11.6368i	−0.160891	+	0.484026i
$579$		−	28.3180i		−	1.17686i
$580$	−10.5803	+	19.3619i	−0.439323	+	0.803960i
$581$		−	5.09885i		−	0.211536i
$582$	−36.8047	−	12.2339i	−1.52560	−	0.507112i
$583$	1.63316	−	1.63316i	0.0676384	−	0.0676384i
$584$	−3.89544	+	21.7359i	−0.161195	+	0.899439i
$585$	17.3574	−	23.1342i	0.717642	−	0.956481i
$586$	36.5677	−	18.3222i	1.51060	−	0.756885i
$587$	24.3872	−	24.3872i	1.00657	−	1.00657i	0.00658976	−	0.999978i	$-0.497902\pi$
$587$	24.3872	−	24.3872i	1.00657	−	1.00657i	0.999978	−	0.00658976i	$-0.00209760\pi$
$588$	4.42985	−	0.640429i	0.182684	−	0.0264109i
$589$	−1.22095			−0.0503085
$590$	42.8228	+	7.75713i	1.76299	+	0.319356i
$591$			29.7177i			1.22242i
$592$	0.442559	−	0.813489i	0.0181891	−	0.0334342i
$593$	2.84875	+	2.84875i	0.116984	+	0.116984i	0.763175	−	0.646191i	$-0.223639\pi$
$593$	2.84875	+	2.84875i	0.116984	+	0.116984i	−0.646191	+	0.763175i	$0.723639\pi$
$594$	−7.93132	+	3.97399i	−0.325426	+	0.163055i
$595$	−1.60011	−	11.2158i	−0.0655982	−	0.459805i
$596$	8.53446	+	6.37847i	0.349585	+	0.261272i
$597$	−17.3778	−	17.3778i	−0.711227	−	0.711227i
$598$	10.8009	−	32.4937i	0.441683	−	1.32877i
$599$	18.8270			0.769249			0.384624	−	0.923073i	$-0.374331\pi$
$599$	18.8270			0.769249			0.384624	+	0.923073i	$0.374331\pi$
$600$	−3.35120	−	31.4715i	−0.136812	−	1.28482i
$601$	4.99594			0.203789			0.101894	−	0.994795i	$-0.467510\pi$
$601$	4.99594			0.203789			0.101894	+	0.994795i	$0.467510\pi$
$602$	1.21255	−	3.64785i	0.0494197	−	0.148675i
$603$	−7.45928	−	7.45928i	−0.303766	−	0.303766i
$604$	1.48275	−	1.98393i	0.0603322	−	0.0807251i
$605$	0.950362	+	6.66148i	0.0386377	+	0.270828i
$606$	−2.30736	+	1.15610i	−0.0937301	+	0.0469635i
$607$	−1.79806	−	1.79806i	−0.0729811	−	0.0729811i	0.669674	−	0.742655i	$-0.266434\pi$
$607$	−1.79806	−	1.79806i	−0.0729811	−	0.0729811i	−0.742655	+	0.669674i	$0.766434\pi$
$608$	11.0688	+	0.373799i	0.448899	+	0.0151595i
$609$		−	11.0414i		−	0.447419i
$610$	22.8656	+	4.14199i	0.925801	+	0.167704i
$611$	−32.8139			−1.32751
$612$	−2.91205	−	20.1427i	−0.117713	−	0.814219i
$613$	17.3777	−	17.3777i	0.701877	−	0.701877i	−0.262936	−	0.964813i	$-0.584691\pi$
$613$	17.3777	−	17.3777i	0.701877	−	0.701877i	0.964813	+	0.262936i	$0.0846910\pi$
$614$	−2.81123	+	1.40857i	−0.113452	+	0.0568452i
$615$	−37.1498	+	49.5137i	−1.49802	+	1.99658i
$616$	1.41043	−	7.86998i	0.0568279	−	0.317090i
$617$	5.90829	−	5.90829i	0.237859	−	0.237859i	−0.578104	−	0.815963i	$-0.696207\pi$
$617$	5.90829	−	5.90829i	0.237859	−	0.237859i	0.815963	+	0.578104i	$0.196207\pi$
$618$	45.8244	+	15.2320i	1.84333	+	0.612723i
$619$		−	22.2325i		−	0.893600i	−0.894634	−	0.446800i	$-0.852564\pi$
$619$		−	22.2325i		−	0.893600i	0.894634	−	0.446800i	$-0.147436\pi$
$620$	2.44739	+	1.33737i	0.0982894	+	0.0537101i
$621$		−	8.34319i		−	0.334801i
$622$	−12.1745	+	36.6259i	−0.488152	+	1.46857i
$623$	2.69287	−	2.69287i	0.107887	−	0.107887i
$624$	−16.3276	−	55.2889i	−0.653629	−	2.21333i
$625$	21.0901	−	13.4241i	0.843604	−	0.536966i
$626$	5.10888	+	10.1964i	0.204192	+	0.407528i
$627$	−8.75794	+	8.75794i	−0.349759	+	0.349759i
$628$	−5.35174	−	37.0180i	−0.213558	−	1.47718i
$629$	1.17303			0.0467719
$630$	3.61857	+	5.21956i	0.144167	+	0.207952i
$631$		−	22.3464i		−	0.889595i	−0.895631	−	0.444798i	$-0.853276\pi$
$631$		−	22.3464i		−	0.889595i	0.895631	−	0.444798i	$-0.146724\pi$
$632$	−2.00113	−	2.87502i	−0.0796007	−	0.114362i
$633$	35.4298	+	35.4298i	1.40821	+	1.40821i
$634$	2.06702	+	4.12538i	0.0820920	+	0.163840i
$635$	5.17011	−	6.89078i	0.205170	−	0.273452i
$636$	2.92932	+	2.18931i	0.116155	+	0.0868118i
$637$	4.55375	+	4.55375i	0.180426	+	0.180426i
$638$	−18.7164	−	6.22135i	−0.740991	−	0.246306i
$639$	26.3859			1.04381
$640$	−21.7778	−	12.8735i	−0.860844	−	0.508869i
$641$	6.61940			0.261451			0.130725	−	0.991419i	$-0.458269\pi$
$641$	6.61940			0.261451			0.130725	+	0.991419i	$0.458269\pi$
$642$	12.6640	+	4.20952i	0.499809	+	0.166137i
$643$	−3.74319	−	3.74319i	−0.147617	−	0.147617i	0.629436	−	0.777053i	$-0.283286\pi$
$643$	−3.74319	−	3.74319i	−0.147617	−	0.147617i	−0.777053	+	0.629436i	$0.783286\pi$
$644$	6.02315	+	4.50157i	0.237345	+	0.177387i
$645$	13.4660	−	1.92113i	0.530224	−	0.0756446i
$646$	6.28426	+	12.5422i	0.247251	+	0.493465i
$647$	−19.5517	−	19.5517i	−0.768659	−	0.768659i	0.209212	−	0.977870i	$-0.432910\pi$
$647$	−19.5517	−	19.5517i	−0.768659	−	0.768659i	−0.977870	+	0.209212i	$0.932910\pi$
$648$	−17.7603	−	25.5162i	−0.697691	−	1.00237i
$649$			38.9027i			1.52706i
$650$	33.3842	−	30.9703i	1.30944	−	1.21475i
$651$	−1.39565			−0.0546999
$652$	5.95981	+	41.2240i	0.233404	+	1.61446i
$653$	−1.68442	+	1.68442i	−0.0659165	+	0.0659165i	−0.739297	−	0.673380i	$-0.764842\pi$
$653$	−1.68442	+	1.68442i	−0.0659165	+	0.0659165i	0.673380	+	0.739297i	$0.264842\pi$
$654$	−23.3904	−	46.6827i	−0.914636	−	1.82544i
$655$	4.00171	+	28.0496i	0.156360	+	1.09599i
$656$	14.0136	+	47.4530i	0.547138	+	1.85273i
$657$	11.0877	−	11.0877i	0.432570	−	0.432570i
$658$	2.27297	−	6.83803i	0.0886094	−	0.266574i
$659$			43.0394i			1.67658i	0.545226	+	0.838289i	$0.316444\pi$
$659$			43.0394i			1.67658i	−0.545226	+	0.838289i	$0.683556\pi$
$660$	27.1482	−	7.96218i	1.05674	−	0.309927i
$661$			30.8859i			1.20132i	0.799504	+	0.600661i	$0.205096\pi$
$661$			30.8859i			1.20132i	−0.799504	+	0.600661i	$0.794904\pi$
$662$	−14.1955	−	4.71859i	−0.551723	−	0.183393i
$663$	51.6348	−	51.6348i	2.00533	−	2.00533i
$664$	2.54408	−	14.1956i	0.0987295	−	0.550894i
$665$	−3.50176	−	2.62735i	−0.135793	−	0.101884i
$666$	−0.587925	+	0.294580i	−0.0227816	+	0.0114147i
$667$	13.1164	−	13.1164i	0.507869	−	0.507869i
$668$	0.343075	+	2.37305i	0.0132740	+	0.0918161i
$669$	−32.0627			−1.23961
$670$	−9.46317	−	13.6500i	−0.365594	−	0.527346i
$671$			20.7724i			0.801909i
$672$	12.6526	+	0.427283i	0.488083	+	0.0164828i
$673$	16.5713	+	16.5713i	0.638775	+	0.638775i	0.950253	−	0.311478i	$-0.100824\pi$
$673$	16.5713	+	16.5713i	0.638775	+	0.638775i	−0.311478	+	0.950253i	$0.600824\pi$
$674$	16.5628	−	8.29881i	0.637977	−	0.319658i
$675$	5.33871	−	9.72662i	0.205487	−	0.374378i
$676$	34.0913	−	45.6145i	1.31121	−	1.75440i
$677$	13.2700	+	13.2700i	0.510006	+	0.510006i	0.914528	−	0.404522i	$-0.132562\pi$
$677$	13.2700	+	13.2700i	0.510006	+	0.510006i	−0.404522	+	0.914528i	$0.632562\pi$
$678$	4.67196	−	14.0552i	0.179426	−	0.539788i
$679$	12.2545			0.470284
$680$	1.14135	−	32.0241i	0.0437686	−	1.22807i
$681$	−25.1894			−0.965258
$682$	−0.786391	+	2.36579i	−0.0301125	+	0.0905909i
$683$	20.7945	+	20.7945i	0.795680	+	0.795680i	0.982411	−	0.186731i	$-0.0597892\pi$
$683$	20.7945	+	20.7945i	0.795680	+	0.795680i	−0.186731	+	0.982411i	$0.559789\pi$
$684$	−6.29935	−	4.70800i	−0.240862	−	0.180015i
$685$	−25.8599	−	19.4025i	−0.988055	−	0.741331i
$686$	−1.26438	+	0.633518i	−0.0482742	+	0.0241878i
$687$	5.97116	+	5.97116i	0.227814	+	0.227814i
$688$	5.19592	−	9.55086i	0.198092	−	0.364123i
$689$			5.26179i			0.200458i
$690$	−4.74268	+	26.1817i	−0.180551	+	0.996719i
$691$	−6.76536			−0.257366			−0.128683	−	0.991686i	$-0.541075\pi$
$691$	−6.76536			−0.257366			−0.128683	+	0.991686i	$0.541075\pi$
$692$	−25.5065	+	3.68751i	−0.969613	+	0.140178i
$693$	−4.01453	+	4.01453i	−0.152499	+	0.152499i
$694$	−22.1205	+	11.0835i	−0.839684	+	0.420724i
$695$	−24.5610	+	3.50400i	−0.931650	+	0.132914i
$696$	5.50912	−	30.7399i	0.208822	−	1.16519i
$697$	−44.3168	+	44.3168i	−1.67862	+	1.67862i
$698$	0.524657	+	0.174396i	0.0198586	+	0.00660099i
$699$			5.29315i			0.200205i
$700$	4.14137	+	9.10214i	0.156529	+	0.344029i
$701$			17.2653i			0.652103i	0.945352	+	0.326051i	$0.105718\pi$
$701$			17.2653i			0.652103i	−0.945352	+	0.326051i	$0.894282\pi$
$702$	6.37497	−	19.1786i	0.240608	−	0.723849i
$703$	0.320513	−	0.320513i	0.0120884	−	0.0120884i
$704$	7.85348	−	21.2068i	0.295989	−	0.799262i
$705$	25.2426	−	3.60124i	0.950691	−	0.135631i
$706$	−15.2675	−	30.4709i	−0.574598	−	1.14679i
$707$	0.576597	−	0.576597i	0.0216851	−	0.0216851i
$708$	−60.9642	+	8.81368i	−2.29118	+	0.331238i
$709$	−3.90111			−0.146509			−0.0732546	−	0.997313i	$-0.523339\pi$
$709$	−3.90111			−0.146509			−0.0732546	+	0.997313i	$0.523339\pi$
$710$	40.8794	+	7.40509i	1.53418	+	0.277908i
$711$			2.48736i			0.0932832i
$712$	8.84074	−	6.15351i	0.331321	−	0.230613i
$713$	−1.65794	−	1.65794i	−0.0620903	−	0.0620903i
$714$	7.18343	+	14.3367i	0.268833	+	0.536539i
$715$	32.5605	+	24.4299i	1.21769	+	0.913628i
$716$	−15.5376	+	20.7894i	−0.580667	+	0.776938i
$717$	−15.9425	−	15.9425i	−0.595385	−	0.595385i
$718$	42.9994	+	14.2930i	1.60472	+	0.533410i
$719$	−45.0557			−1.68029			−0.840146	−	0.542360i	$-0.817531\pi$
$719$	−45.0557			−1.68029			−0.840146	+	0.542360i	$0.817531\pi$
$720$	7.47006	+	16.3371i	0.278393	+	0.608848i
$721$	−15.2577			−0.568225
$722$	−20.3543	−	6.76577i	−0.757507	−	0.251796i
$723$	−23.1425	−	23.1425i	−0.860679	−	0.860679i
$724$	23.2443	−	31.1011i	0.863868	−	1.15586i
$725$	23.6843	−	6.89827i	0.879614	−	0.256195i
$726$	−4.26649	−	8.51509i	−0.158344	−	0.316025i
$727$	−7.42393	−	7.42393i	−0.275338	−	0.275338i	0.555906	−	0.831245i	$-0.312371\pi$
$727$	−7.42393	−	7.42393i	−0.275338	−	0.275338i	−0.831245	+	0.555906i	$0.812371\pi$
$728$	10.4059	+	14.9501i	0.385667	+	0.554086i
$729$			7.17700i			0.265815i
$730$	20.2897	−	14.0663i	0.750955	−	0.520616i
$731$	13.7721			0.509381
$732$	−32.5523	+	4.70614i	−1.20317	+	0.173944i
$733$	18.8548	−	18.8548i	0.696418	−	0.696418i	−0.267218	−	0.963636i	$-0.586104\pi$
$733$	18.8548	−	18.8548i	0.696418	−	0.696418i	0.963636	+	0.267218i	$0.0861044\pi$
$734$	−2.70736	−	5.40337i	−0.0999304	−	0.199442i
$735$	−4.00281	−	3.00328i	−0.147646	−	0.110778i
$736$	14.5228	+	15.5380i	0.535317	+	0.572737i
$737$	10.4987	−	10.4987i	0.386723	−	0.386723i
$738$	11.0825	−	33.3407i	0.407951	−	1.22729i
$739$		−	18.1356i		−	0.667129i	−0.942727	−	0.333565i	$-0.891748\pi$
$739$		−	18.1356i		−	0.667129i	0.942727	−	0.333565i	$-0.108252\pi$
$740$	−0.993539	+	0.291391i	−0.0365232	+	0.0107117i
$741$		−	28.2168i		−	1.03657i
$742$	−1.09650	−	0.364476i	−0.0402536	−	0.0133803i
$743$	−2.74666	+	2.74666i	−0.100765	+	0.100765i	−0.755692	−	0.654927i	$-0.772699\pi$
$743$	−2.74666	+	2.74666i	−0.100765	+	0.100765i	0.654927	+	0.755692i	$0.272699\pi$
$744$	−3.88559	−	0.696363i	−0.142453	−	0.0255299i
$745$	−1.68243	−	11.7929i	−0.0616396	−	0.432057i
$746$	9.86889	−	4.94481i	0.361326	−	0.181042i
$747$	−7.24125	+	7.24125i	−0.264943	+	0.264943i
$748$	28.3501	−	4.09861i	1.03658	−	0.149860i
$749$	−4.21660			−0.154071
$750$	−22.2824	+	27.4882i	−0.813639	+	1.00373i
$751$			14.8318i			0.541220i	0.962689	+	0.270610i	$0.0872253\pi$
$751$			14.8318i			0.541220i	−0.962689	+	0.270610i	$0.912775\pi$
$752$	9.73995	−	17.9035i	0.355179	−	0.652872i
$753$	−17.3801	−	17.3801i	−0.633367	−	0.633367i
$754$	40.1729	−	20.1287i	1.46301	−	0.733043i
$755$	−2.74139	+	0.391101i	−0.0997693	+	0.0142336i
$756$	3.55501	+	2.65694i	0.129294	+	0.0966320i
$757$	7.67259	+	7.67259i	0.278865	+	0.278865i	0.832656	−	0.553791i	$-0.186819\pi$
$757$	7.67259	+	7.67259i	0.278865	+	0.278865i	−0.553791	+	0.832656i	$0.686819\pi$
$758$	12.3018	−	37.0090i	0.446822	−	1.34423i
$759$	−23.7849			−0.863337
$760$	−8.43823	−	9.06194i	−0.306087	−	0.328711i
$761$	−0.560755			−0.0203274			−0.0101637	−	0.999948i	$-0.503235\pi$
$761$	−0.560755			−0.0203274			−0.0101637	+	0.999948i	$0.503235\pi$
$762$	−3.84614	+	11.5708i	−0.139331	+	0.419166i
$763$	11.6658	+	11.6658i	0.422329	+	0.422329i
$764$	−4.29172	+	5.74237i	−0.155269	+	0.207751i
$765$	−13.6560	+	18.2009i	−0.493734	+	0.658055i
$766$	−22.3129	+	11.1799i	−0.806199	+	0.403946i
$767$	−62.6693	−	62.6693i	−2.26286	−	2.26286i
$768$	35.0124	+	7.50261i	1.26340	+	0.270727i
$769$			28.7384i			1.03633i	0.855280	+	0.518167i	$0.173385\pi$
$769$			28.7384i			1.03633i	−0.855280	+	0.518167i	$0.826615\pi$
$770$	−7.34633	+	5.09301i	−0.264743	+	0.183539i
$771$	−8.75407			−0.315270
$772$	3.62103	+	25.0467i	0.130324	+	0.901450i
$773$	−29.6480	+	29.6480i	−1.06636	+	1.06636i	−0.0687273	+	0.997635i	$0.521894\pi$
$773$	−29.6480	+	29.6480i	−1.06636	+	1.06636i	−0.997635	+	0.0687273i	$0.978106\pi$
$774$	−6.90260	+	3.45855i	−0.248109	+	0.124315i
$775$	−0.871955	−	2.99375i	−0.0313215	−	0.107539i
$776$	34.1174	+	6.11440i	1.22474	+	0.219494i
$777$	0.366373	−	0.366373i	0.0131436	−	0.0131436i
$778$	−15.2007	−	5.05272i	−0.544972	−	0.181149i
$779$			24.2177i			0.867690i
$780$	−30.9072	+	56.5602i	−1.10666	+	2.02518i
$781$			37.1372i			1.32887i
$782$	−8.49766	+	25.5645i	−0.303876	+	0.914185i
$783$	7.74162	−	7.74162i	0.276663	−	0.276663i
$784$	−3.83622	+	1.13289i	−0.137008	+	0.0404604i
$785$	−25.0969	+	33.4494i	−0.895746	+	1.19386i
$786$	−17.9650	−	35.8546i	−0.640789	−	1.27889i
$787$	−33.8662	+	33.8662i	−1.20720	+	1.20720i	−0.235271	+	0.971930i	$0.575598\pi$
$787$	−33.8662	+	33.8662i	−1.20720	+	1.20720i	−0.971930	+	0.235271i	$0.924402\pi$
$788$	−3.80001	−	26.2846i	−0.135370	−	0.936351i
$789$	−37.0000			−1.31723
$790$	−0.698067	+	3.85364i	−0.0248361	+	0.137106i
$791$			4.67982i			0.166395i
$792$	−13.1798	+	9.17367i	−0.468323	+	0.325972i
$793$	−33.4628	−	33.4628i	−1.18830	−	1.18830i
$794$	−15.1206	−	30.1778i	−0.536609	−	1.07097i
$795$	−0.577469	−	4.04771i	−0.0204807	−	0.143558i
$796$	17.5924	+	13.1482i	0.623547	+	0.466026i
$797$	1.45209	+	1.45209i	0.0514357	+	0.0514357i	0.732357	−	0.680921i	$-0.238420\pi$
$797$	1.45209	+	1.45209i	0.0514357	+	0.0514357i	−0.680921	+	0.732357i	$0.738420\pi$
$798$	5.88006	+	1.95453i	0.208152	+	0.0691897i
$799$	25.8164			0.913319
$800$	6.98834	+	27.4074i	0.247075	+	0.968996i
$801$	−7.64867			−0.270253
$802$	24.2551	+	8.06242i	0.856478	+	0.284694i
$803$	15.6055	+	15.6055i	0.550704	+	0.550704i
$804$	18.8310	+	14.0739i	0.664117	+	0.496347i
$805$	−1.18737	−	8.32276i	−0.0418492	−	0.293339i
$806$	−2.54430	−	5.07794i	−0.0896192	−	0.178863i
$807$	−33.4810	−	33.4810i	−1.17859	−	1.17859i
$808$	1.89298	−	1.31759i	0.0665948	−	0.0463527i
$809$		−	9.14360i		−	0.321472i	−0.986997	−	0.160736i	$-0.948613\pi$
$809$		−	9.14360i		−	0.321472i	0.986997	−	0.160736i	$-0.0513867\pi$
$810$	−6.19544	+	34.2016i	−0.217686	+	1.20172i
$811$	−8.81361			−0.309488			−0.154744	−	0.987955i	$-0.549455\pi$
$811$	−8.81361			−0.309488			−0.154744	+	0.987955i	$0.549455\pi$
$812$	1.41186	+	9.76586i	0.0495467	+	0.342714i
$813$	−5.62153	+	5.62153i	−0.197156	+	0.197156i
$814$	−0.414610	−	0.827483i	−0.0145321	−	0.0290032i
$815$	27.9484	−	37.2500i	0.978991	−	1.30481i
$816$	12.8458	+	43.4987i	0.449694	+	1.52276i
$817$	3.76302	−	3.76302i	0.131652	−	0.131652i
$818$	−9.80590	+	29.5002i	−0.342855	+	1.03145i
$819$		−	12.9342i		−	0.451958i
$820$	26.5269	−	48.5441i	0.926359	−	1.69523i
$821$			30.3046i			1.05764i	0.848735	+	0.528818i	$0.177365\pi$
$821$			30.3046i			1.05764i	−0.848735	+	0.528818i	$0.822635\pi$
$822$	43.4231	+	14.4339i	1.51456	+	0.503439i
$823$	−15.4932	+	15.4932i	−0.540059	+	0.540059i	−0.923546	−	0.383487i	$-0.874723\pi$
$823$	−15.4932	+	15.4932i	−0.540059	+	0.540059i	0.383487	+	0.923546i	$0.374723\pi$
$824$	−42.4784	−	7.61285i	−1.47981	−	0.265206i
$825$	−27.7288	−	15.2197i	−0.965393	−	0.529881i
$826$	17.4006	−	8.71856i	0.605443	−	0.303357i
$827$	−30.4593	+	30.4593i	−1.05917	+	1.05917i	−0.0610366	+	0.998136i	$0.519441\pi$
$827$	−30.4593	+	30.4593i	−1.05917	+	1.05917i	−0.998136	+	0.0610366i	$0.980559\pi$
$828$	−2.16090	−	14.9469i	−0.0750964	−	0.519442i
$829$	14.6007			0.507104			0.253552	−	0.967322i	$-0.418401\pi$
$829$	14.6007			0.507104			0.253552	+	0.967322i	$0.418401\pi$
$830$	−13.2510	+	9.18657i	−0.459950	+	0.318870i
$831$			7.09740i			0.246206i
$832$	21.5113	+	46.8140i	0.745769	+	1.62298i
$833$	−3.58268	−	3.58268i	−0.124132	−	0.124132i
$834$	31.3952	−	15.7306i	1.08713	−	0.544706i
$835$	1.60884	−	2.14428i	0.0556763	−	0.0742060i
$836$	6.62633	−	8.86610i	0.229177	−	0.306640i
$837$	−0.978556	−	0.978556i	−0.0338238	−	0.0338238i
$838$	1.74456	−	5.24836i	0.0602647	−	0.181302i
$839$	24.7598			0.854804			0.427402	−	0.904062i	$-0.359429\pi$
$839$	24.7598			0.854804			0.427402	+	0.904062i	$0.359429\pi$
$840$	−9.64560	−	10.3586i	−0.332805	−	0.357404i
$841$	−4.65866			−0.160644
$842$	−2.46897	+	7.42771i	−0.0850865	+	0.255976i
$843$	38.6779	+	38.6779i	1.33214	+	1.33214i
$844$	−35.8674	−	26.8065i	−1.23461	−	0.922718i
$845$	−63.0299	+	8.99218i	−2.16829	+	0.309340i
$846$	−12.9392	+	6.48319i	−0.444859	+	0.222897i
$847$	2.12787	+	2.12787i	0.0731146	+	0.0731146i
$848$	−2.87087	−	1.56183i	−0.0985859	−	0.0536333i
$849$			53.4206i			1.83339i
$850$	−26.2651	+	24.3659i	−0.900886	+	0.835745i
$851$	0.870453			0.0298388
$852$	−58.1975	+	8.41369i	−1.99381	+	0.288248i
$853$	18.9332	−	18.9332i	0.648260	−	0.648260i	−0.304312	−	0.952572i	$-0.598427\pi$
$853$	18.9332	−	18.9332i	0.648260	−	0.648260i	0.952572	+	0.304312i	$0.0984266\pi$
$854$	9.29118	−	4.65535i	0.317938	−	0.159303i
$855$	1.24182	+	8.70441i	0.0424692	+	0.297684i
$856$	−11.7393	−	2.10388i	−0.401242	−	0.0719093i
$857$	8.40125	−	8.40125i	0.286981	−	0.286981i	−0.548904	−	0.835885i	$-0.684955\pi$
$857$	8.40125	−	8.40125i	0.286981	−	0.286981i	0.835885	+	0.548904i	$0.184955\pi$
$858$	−54.6746	−	18.1739i	−1.86656	−	0.620446i
$859$		−	10.2430i		−	0.349488i	−0.984614	−	0.174744i	$-0.944090\pi$
$859$		−	10.2430i		−	0.349488i	0.984614	−	0.174744i	$-0.0559098\pi$
$860$	−11.6648	+	3.42111i	−0.397765	+	0.116659i
$861$			27.6829i			0.943430i
$862$	3.09519	−	9.31163i	0.105423	−	0.317155i
$863$	9.28399	−	9.28399i	0.316031	−	0.316031i	−0.531210	−	0.847240i	$-0.678262\pi$
$863$	9.28399	−	9.28399i	0.316031	−	0.316031i	0.847240	+	0.531210i	$0.178262\pi$
$864$	8.57171	+	9.17089i	0.291616	+	0.312000i
$865$	23.0477	+	17.2925i	0.783644	+	0.587963i
$866$	10.8041	+	21.5628i	0.367137	+	0.732734i
$867$	−13.7218	+	13.7218i	−0.466017	+	0.466017i
$868$	1.23442	−	0.178462i	0.0418991	−	0.00605741i
$869$	−3.50086			−0.118759
$870$	−28.6946	+	19.8932i	−0.972838	+	0.674442i
$871$			33.8252i			1.14612i
$872$	26.6576	+	38.2989i	0.902741	+	1.29697i
$873$	−17.4035	−	17.4035i	−0.589019	−	0.589019i
$874$	4.66325	+	9.30696i	0.157737	+	0.314813i
$875$	3.94138	−	10.4626i	0.133243	−	0.353700i
$876$	−20.9197	+	27.9908i	−0.706812	+	0.945721i
$877$	−33.9353	−	33.9353i	−1.14591	−	1.14591i	−0.987349	−	0.158563i	$-0.949314\pi$
$877$	−33.9353	−	33.9353i	−1.14591	−	1.14591i	−0.158563	−	0.987349i	$-0.550686\pi$
$878$	45.8007	+	15.2242i	1.54570	+	0.513791i
$879$	64.7248			2.18311
$880$	−22.9939	+	10.5138i	−0.775123	+	0.354421i
$881$	−32.6134			−1.09877			−0.549387	−	0.835568i	$-0.685139\pi$
$881$	−32.6134			−1.09877			−0.549387	+	0.835568i	$0.685139\pi$
$882$	2.69534	+	0.895933i	0.0907569	+	0.0301676i
$883$	23.2935	+	23.2935i	0.783888	+	0.783888i	0.980484	−	0.196596i	$-0.0629889\pi$
$883$	23.2935	+	23.2935i	0.783888	+	0.783888i	−0.196596	+	0.980484i	$0.562989\pi$
$884$	−39.0673	+	52.2724i	−1.31398	+	1.75811i
$885$	55.0872	+	41.3316i	1.85174	+	1.38935i
$886$	−20.7904	−	41.4936i	−0.698467	−	1.39401i
$887$	6.16206	+	6.16206i	0.206902	+	0.206902i	0.802949	−	0.596047i	$-0.203263\pi$
$887$	6.16206	+	6.16206i	0.206902	+	0.206902i	−0.596047	+	0.802949i	$0.703263\pi$
$888$	1.20281	−	0.837206i	0.0403637	−	0.0280948i
$889$		−	3.85261i		−	0.129212i
$890$	−11.8500	−	2.14657i	−0.397213	−	0.0719532i
$891$	−31.0706			−1.04091
$892$	28.3588	−	4.09986i	0.949521	−	0.137274i
$893$	7.05394	−	7.05394i	0.236051	−	0.236051i
$894$	7.55300	+	15.0743i	0.252610	+	0.504161i
$895$	28.7267	−	4.09831i	0.960229	−	0.136991i
$896$	−11.2456	+	1.23996i	−0.375688	+	0.0414243i
$897$	38.3157	−	38.3157i	1.27933	−	1.27933i
$898$	7.04609	−	21.1976i	0.235131	−	0.707372i
$899$		−	3.07679i		−	0.102617i
$900$	7.04516	−	18.8081i	0.234839	−	0.626936i
$901$		−	4.13973i		−	0.137914i
$902$	46.9258	+	15.5982i	1.56246	+	0.519362i
$903$	4.30145	−	4.30145i	0.143143	−	0.143143i
$904$	−2.33501	+	13.0290i	−0.0776612	+	0.433337i
$905$	−42.9754	+	6.13109i	−1.42855	+	0.203804i
$906$	3.50420	−	1.75578i	0.116419	−	0.0583319i
$907$	−0.729952	+	0.729952i	−0.0242377	+	0.0242377i	−0.719122	−	0.694884i	$-0.755456\pi$
$907$	−0.729952	+	0.729952i	−0.0242377	+	0.0242377i	0.694884	+	0.719122i	$0.255456\pi$
$908$	22.2795	−	3.22097i	0.739370	−	0.106892i
$909$	−1.63773			−0.0543202
$910$	3.62994	−	20.0389i	0.120331	−	0.664282i
$911$		−	53.2626i		−	1.76467i	−0.470623	−	0.882335i	$-0.655971\pi$
$911$		−	53.2626i		−	1.76467i	0.470623	−	0.882335i	$-0.344029\pi$
$912$	15.3953	+	8.37543i	0.509788	+	0.277338i
$913$	−10.1918	−	10.1918i	−0.337299	−	0.337299i
$914$	−28.1299	+	14.0945i	−0.930455	+	0.466205i
$915$	29.4143	+	22.0693i	0.972405	+	0.729589i
$916$	−6.04490	−	4.51783i	−0.199729	−	0.149273i
$917$	8.95988	+	8.95988i	0.295881	+	0.295881i
$918$	−5.01553	+	15.0888i	−0.165537	+	0.498005i
$919$	−53.9752			−1.78048			−0.890238	−	0.455496i	$-0.849462\pi$
$919$	−53.9752			−1.78048			−0.890238	+	0.455496i	$0.849462\pi$
$920$	0.846939	−	23.7636i	0.0279228	−	0.783462i
$921$	−4.97589			−0.163961
$922$	4.92280	−	14.8099i	0.162124	−	0.487737i
$923$	−59.8252	−	59.8252i	−1.96917	−	1.96917i
$924$	7.57445	−	10.1347i	0.249181	−	0.333407i
$925$	1.01479	+	0.556993i	0.0333660	+	0.0183138i
$926$	21.4425	−	10.7437i	0.704643	−	0.353061i
$927$	21.6685	+	21.6685i	0.711688	+	0.711688i
$928$	−0.941970	+	27.8933i	−0.0309217	+	0.915642i
$929$		−	38.4297i		−	1.26084i	−0.776255	−	0.630419i	$-0.782883\pi$
$929$		−	38.4297i		−	1.26084i	0.776255	−	0.630419i	$-0.217117\pi$
$930$	2.51454	+	3.62705i	0.0824549	+	0.118936i
$931$	−1.95782			−0.0641650
$932$	−0.676836	−	4.68168i	−0.0221705	−	0.153353i
$933$	−43.1883	+	43.1883i	−1.41392	+	1.41392i
$934$	−32.5753	+	16.3219i	−1.06590	+	0.534068i
$935$	−25.6171	−	19.2203i	−0.837768	−	0.628572i
$936$	6.45356	−	36.0098i	0.210941	−	1.17702i
$937$	36.8819	−	36.8819i	1.20488	−	1.20488i	0.232214	−	0.972665i	$-0.425403\pi$
$937$	36.8819	−	36.8819i	1.20488	−	1.20488i	0.972665	−	0.232214i	$-0.0745969\pi$
$938$	−7.04877	−	2.34302i	−0.230151	−	0.0765022i
$939$			18.0475i			0.588959i
$940$	−21.8660	+	6.41300i	−0.713192	+	0.209169i
$941$		−	47.1102i		−	1.53575i	−0.640601	−	0.767874i	$-0.721315\pi$
$941$		−	47.1102i		−	1.53575i	0.640601	−	0.767874i	$-0.278685\pi$
$942$	18.6700	−	56.1672i	0.608302	−	1.83003i
$943$	−32.8854	+	32.8854i	−1.07090	+	1.07090i
$944$	52.7945	−	15.5910i	1.71832	−	0.507445i
$945$	−0.700814	−	4.91229i	−0.0227975	−	0.159797i
$946$	−4.86778	−	9.71515i	−0.158265	−	0.315867i
$947$	−11.1371	+	11.1371i	−0.361908	+	0.361908i	−0.864515	−	0.502607i	$-0.832374\pi$
$947$	−11.1371	+	11.1371i	−0.361908	+	0.361908i	0.502607	+	0.864515i	$0.332374\pi$
$948$	−0.793146	−	5.48619i	−0.0257602	−	0.178183i
$949$	−50.2785			−1.63211
$950$	−0.518922	+	13.8342i	−0.0168361	+	0.448839i
$951$			7.30193i			0.236781i
$952$	−8.18684	−	11.7620i	−0.265337	−	0.381209i
$953$	−16.2796	−	16.2796i	−0.527347	−	0.527347i	0.392433	−	0.919780i	$-0.371633\pi$
$953$	−16.2796	−	16.2796i	−0.527347	−	0.527347i	−0.919780	+	0.392433i	$0.871633\pi$
$954$	1.03960	+	2.07483i	0.0336582	+	0.0671752i
$955$	7.93477	−	1.13202i	0.256763	−	0.0366312i
$956$	16.1394	+	12.0623i	0.521986	+	0.390121i
$957$	−22.0699	−	22.0699i	−0.713420	−	0.713420i
$958$	14.3434	+	4.76774i	0.463413	+	0.154039i
$959$	−14.4581			−0.466878
$960$	−21.6856	−	33.6516i	−0.699900	−	1.08610i
$961$	30.6111			0.987454
$962$	2.00092	+	0.665107i	0.0645123	+	0.0214439i
$963$	5.98831	+	5.98831i	0.192971	+	0.192971i
$964$	23.4283	+	17.5098i	0.754575	+	0.563953i
$965$	16.9808	−	22.6321i	0.546630	−	0.728554i
$966$	5.33049	+	10.6386i	0.171506	+	0.342292i
$967$	37.3617	+	37.3617i	1.20147	+	1.20147i	0.973720	+	0.227750i	$0.0731370\pi$
$967$	37.3617	+	37.3617i	1.20147	+	1.20147i	0.227750	+	0.973720i	$0.426863\pi$
$968$	4.86244	+	6.98586i	0.156285	+	0.224534i
$969$			22.1997i			0.713156i
$970$	−22.0788	−	31.8473i	−0.708909	−	1.02255i
$971$	−12.2081			−0.391776			−0.195888	−	0.980626i	$-0.562759\pi$
$971$	−12.2081			−0.391776			−0.195888	+	0.980626i	$0.562759\pi$
$972$	−5.13418	−	35.5132i	−0.164679	−	1.13908i
$973$	−7.84550	+	7.84550i	−0.251515	+	0.251515i
$974$	−24.6842	−	49.2648i	−0.790931	−	1.57855i
$975$	69.1869	−	20.1513i	2.21575	−	0.645357i
$976$	28.1901	−	8.32496i	0.902343	−	0.266475i
$977$	26.4070	−	26.4070i	0.844834	−	0.844834i	−0.144649	−	0.989483i	$-0.546205\pi$
$977$	26.4070	−	26.4070i	0.844834	−	0.844834i	0.989483	+	0.144649i	$0.0462052\pi$
$978$	−20.7913	+	62.5490i	−0.664834	+	2.00010i
$979$		−	10.7652i		−	0.344058i
$980$	3.92443	+	2.14450i	0.125361	+	0.0685035i
$981$		−	33.1348i		−	1.05791i
$982$	−43.8265	−	14.5679i	−1.39856	−	0.464882i
$983$	37.6118	−	37.6118i	1.19963	−	1.19963i	0.225353	−	0.974277i	$-0.427646\pi$
$983$	37.6118	−	37.6118i	1.19963	−	1.19963i	0.974277	−	0.225353i	$-0.0723537\pi$
$984$	−13.8124	+	77.0711i	−0.440324	+	2.45694i
$985$	−17.8200	+	23.7508i	−0.567794	+	0.756762i
$986$	−31.6062	+	15.8363i	−1.00655	+	0.504330i
$987$	8.06323	−	8.06323i	0.256656	−	0.256656i
$988$	3.60809	+	24.9572i	0.114789	+	0.793993i
$989$	10.2197			0.324966
$990$	17.6660	+	3.20011i	0.561463	+	0.101706i
$991$		−	34.5466i		−	1.09741i	−0.836017	−	0.548704i	$-0.815121\pi$
$991$		−	34.5466i		−	1.09741i	0.836017	−	0.548704i	$-0.184879\pi$
$992$	3.52577	+	0.119067i	0.111943	+	0.00378038i
$993$	−16.7390	−	16.7390i	−0.531195	−	0.531195i
$994$	16.6109	−	8.32289i	0.526865	−	0.263986i
$995$	−3.46807	−	24.3091i	−0.109945	−	0.770651i
$996$	13.6625	−	18.2805i	0.432913	−	0.579241i
$997$	−6.01596	−	6.01596i	−0.190527	−	0.190527i	0.605397	−	0.795924i	$-0.293015\pi$
$997$	−6.01596	−	6.01596i	−0.190527	−	0.190527i	−0.795924	+	0.605397i	$0.793015\pi$
$998$	−6.13680	+	18.4621i	−0.194257	+	0.584407i
$999$	0.513763			0.0162547

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.w.a.43.2	✓	72
4.3	odd	2		1120.2.bi.a.463.31		72
5.2	odd	4	inner	280.2.w.a.267.22	yes	72
8.3	odd	2	inner	280.2.w.a.43.22	yes	72
8.5	even	2		1120.2.bi.a.463.32		72
20.7	even	4		1120.2.bi.a.687.32		72
40.27	even	4	inner	280.2.w.a.267.2	yes	72
40.37	odd	4		1120.2.bi.a.687.31		72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.w.a.43.2	✓	72	1.1	even	1	trivial
280.2.w.a.43.22	yes	72	8.3	odd	2	inner
280.2.w.a.267.2	yes	72	40.27	even	4	inner
280.2.w.a.267.22	yes	72	5.2	odd	4	inner
1120.2.bi.a.463.31		72	4.3	odd	2
1120.2.bi.a.463.32		72	8.5	even	2
1120.2.bi.a.687.31		72	40.37	odd	4
1120.2.bi.a.687.32		72	20.7	even	4

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.w (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.34202 - 0.446087i) q^{2} +(-1.58247 - 1.58247i) q^{3} +(1.60201 + 1.19731i) q^{4} +(-0.315812 - 2.21365i) q^{5} +(1.41778 + 2.82962i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(-1.61582 - 2.32145i) q^{8} +2.00843i q^{9} +O(q^{10})\)	\(q+(-1.34202 - 0.446087i) q^{2} +(-1.58247 - 1.58247i) q^{3} +(1.60201 + 1.19731i) q^{4} +(-0.315812 - 2.21365i) q^{5} +(1.41778 + 2.82962i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(-1.61582 - 2.32145i) q^{8} +2.00843i q^{9} +(-0.563657 + 3.11164i) q^{10} -2.82679 q^{11} +(-0.640429 - 4.42985i) q^{12} +(4.55375 - 4.55375i) q^{13} +(0.633518 + 1.26438i) q^{14} +(-3.00328 + 4.00281i) q^{15} +(1.13289 + 3.83622i) q^{16} +(-3.58268 + 3.58268i) q^{17} +(0.895933 - 2.69534i) q^{18} +1.95782i q^{19} +(2.14450 - 3.92443i) q^{20} +2.23795i q^{21} +(3.79359 + 1.26099i) q^{22} +(-2.65854 + 2.65854i) q^{23} +(-1.11663 + 6.23062i) q^{24} +(-4.80053 + 1.39820i) q^{25} +(-8.14257 + 4.07984i) q^{26} +(-1.56913 + 1.56913i) q^{27} +(-0.286168 - 1.97942i) q^{28} -4.93369 q^{29} +(5.81605 - 4.03211i) q^{30} +0.623629i q^{31} +(0.190926 - 5.65363i) q^{32} +(4.47331 + 4.47331i) q^{33} +(6.40619 - 3.20982i) q^{34} +(-1.34198 + 1.78860i) q^{35} +(-2.40471 + 3.21753i) q^{36} +(-0.163709 - 0.163709i) q^{37} +(0.873358 - 2.62743i) q^{38} -14.4123 q^{39} +(-4.62859 + 4.31001i) q^{40} +12.3697 q^{41} +(0.998321 - 3.00337i) q^{42} +(-1.92205 - 1.92205i) q^{43} +(-4.52855 - 3.38454i) q^{44} +(4.44597 - 0.634285i) q^{45} +(4.75373 - 2.38186i) q^{46} +(-3.60295 - 3.60295i) q^{47} +(4.27793 - 7.86347i) q^{48} +1.00000i q^{49} +(7.06610 + 0.265051i) q^{50} +11.3390 q^{51} +(12.7474 - 1.84291i) q^{52} +(-0.577743 + 0.577743i) q^{53} +(2.80577 - 1.40583i) q^{54} +(0.892733 + 6.25753i) q^{55} +(-0.498952 + 2.78407i) q^{56} +(3.09820 - 3.09820i) q^{57} +(6.62110 + 2.20086i) q^{58} -13.7621i q^{59} +(-9.60390 + 2.81669i) q^{60} -7.34841i q^{61} +(0.278192 - 0.836920i) q^{62} +(1.42017 - 1.42017i) q^{63} +(-2.77824 + 7.50209i) q^{64} +(-11.5185 - 8.64229i) q^{65} +(-4.00777 - 7.99874i) q^{66} +(-3.71399 + 3.71399i) q^{67} +(-10.0291 + 1.44992i) q^{68} +8.41411 q^{69} +(2.59883 - 1.80169i) q^{70} -13.1376i q^{71} +(4.66246 - 3.24526i) q^{72} +(-5.52056 - 5.52056i) q^{73} +(0.146672 + 0.292729i) q^{74} +(9.80930 + 5.38409i) q^{75} +(-2.34412 + 3.13646i) q^{76} +(1.99884 + 1.99884i) q^{77} +(19.3416 + 6.42916i) q^{78} +1.23846 q^{79} +(8.13427 - 3.71935i) q^{80} +10.9915 q^{81} +(-16.6004 - 5.51798i) q^{82} +(3.60543 + 3.60543i) q^{83} +(-2.67952 + 3.58523i) q^{84} +(9.06225 + 6.79935i) q^{85} +(1.72202 + 3.43682i) q^{86} +(7.80743 + 7.80743i) q^{87} +(4.56759 + 6.56224i) q^{88} +3.80829i q^{89} +(-6.24950 - 1.13207i) q^{90} -6.43997 q^{91} +(-7.44210 + 1.07591i) q^{92} +(0.986874 - 0.986874i) q^{93} +(3.22799 + 6.44245i) q^{94} +(4.33394 - 0.618303i) q^{95} +(-9.24884 + 8.64457i) q^{96} +(-8.66523 + 8.66523i) q^{97} +(0.446087 - 1.34202i) q^{98} -5.67740i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q + 8 q^{6}+O(q^{10}) \) 72 * q + 8 * q^6	\( 72 q + 8 q^{6} + 16 q^{10} - 16 q^{12} - 8 q^{16} + 8 q^{17} - 28 q^{18} - 20 q^{20} - 36 q^{22} - 8 q^{25} - 32 q^{26} - 4 q^{30} + 40 q^{32} + 64 q^{36} - 4 q^{40} + 20 q^{42} - 64 q^{43} + 48 q^{46} - 80 q^{48} - 32 q^{51} + 16 q^{52} - 24 q^{56} + 4 q^{58} - 80 q^{60} - 40 q^{62} - 8 q^{65} + 32 q^{66} - 24 q^{68} + 40 q^{72} - 40 q^{73} + 112 q^{75} - 8 q^{76} + 28 q^{78} - 20 q^{80} - 72 q^{81} + 24 q^{82} + 80 q^{83} + 8 q^{86} - 88 q^{88} + 136 q^{90} - 96 q^{92} - 56 q^{96} - 8 q^{97}+O(q^{100}) \) 72 * q + 8 * q^6 + 16 * q^10 - 16 * q^12 - 8 * q^16 + 8 * q^17 - 28 * q^18 - 20 * q^20 - 36 * q^22 - 8 * q^25 - 32 * q^26 - 4 * q^30 + 40 * q^32 + 64 * q^36 - 4 * q^40 + 20 * q^42 - 64 * q^43 + 48 * q^46 - 80 * q^48 - 32 * q^51 + 16 * q^52 - 24 * q^56 + 4 * q^58 - 80 * q^60 - 40 * q^62 - 8 * q^65 + 32 * q^66 - 24 * q^68 + 40 * q^72 - 40 * q^73 + 112 * q^75 - 8 * q^76 + 28 * q^78 - 20 * q^80 - 72 * q^81 + 24 * q^82 + 80 * q^83 + 8 * q^86 - 88 * q^88 + 136 * q^90 - 96 * q^92 - 56 * q^96 - 8 * q^97

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