LMFDB - Embedded newform 280.2.bj.f.131.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(131,280)]

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, 0, 5]))

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

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

chi := DirichletCharacter("280.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bj (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:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			131.9
Character	$\chi$	$=$	280.131
Dual form			280.2.bj.f.171.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.959261 + 1.03914i) q^{2} +(2.75363 - 1.58981i) q^{3} +(-0.159637 + 1.99362i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(4.29350 + 1.33638i) q^{6} +(-1.04250 - 2.43170i) q^{7} +(-2.22479 + 1.74651i) q^{8} +(3.55500 - 6.15745i) q^{9} +O(q^{10})$	\(q+(0.959261 + 1.03914i) q^{2} +(2.75363 - 1.58981i) q^{3} +(-0.159637 + 1.99362i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(4.29350 + 1.33638i) q^{6} +(-1.04250 - 2.43170i) q^{7} +(-2.22479 + 1.74651i) q^{8} +(3.55500 - 6.15745i) q^{9} +(-1.37955 + 0.311173i) q^{10} +(1.21003 + 2.09584i) q^{11} +(2.72990 + 5.74349i) q^{12} -1.53832 q^{13} +(1.52685 - 3.41595i) q^{14} +3.17962i q^{15} +(-3.94903 - 0.636512i) q^{16} +(-6.58087 + 3.79947i) q^{17} +(9.80864 - 2.21244i) q^{18} +(-1.52991 - 0.883293i) q^{19} +(-1.64671 - 1.13506i) q^{20} +(-6.73663 - 5.03864i) q^{21} +(-1.01714 + 3.26785i) q^{22} +(5.66247 + 3.26923i) q^{23} +(-3.34963 + 8.34626i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-1.47565 - 1.59854i) q^{26} -13.0683i q^{27} +(5.01431 - 1.69017i) q^{28} -2.34486i q^{29} +(-3.30408 + 3.05009i) q^{30} +(-1.04132 - 1.80363i) q^{31} +(-3.12672 - 4.71419i) q^{32} +(6.66397 + 3.84745i) q^{33} +(-10.2610 - 3.19379i) q^{34} +(2.62717 + 0.313017i) q^{35} +(11.7081 + 8.07028i) q^{36} +(2.47037 + 1.42627i) q^{37} +(-0.549713 - 2.43710i) q^{38} +(-4.23598 + 2.44564i) q^{39} +(-0.400131 - 2.79998i) q^{40} -6.90356i q^{41} +(-1.22632 - 11.8337i) q^{42} -1.39343 q^{43} +(-4.37147 + 2.07777i) q^{44} +(3.55500 + 6.15745i) q^{45} +(2.03459 + 9.02015i) q^{46} +(-5.65799 + 9.79993i) q^{47} +(-11.8861 + 4.52550i) q^{48} +(-4.82637 + 5.07012i) q^{49} +(0.420294 - 1.35032i) q^{50} +(-12.0809 + 20.9247i) q^{51} +(0.245574 - 3.06683i) q^{52} +(6.82251 - 3.93898i) q^{53} +(13.5798 - 12.5359i) q^{54} -2.42006 q^{55} +(6.56636 + 3.58928i) q^{56} -5.61708 q^{57} +(2.43665 - 2.24934i) q^{58} +(4.90087 - 2.82952i) q^{59} +(-6.33896 - 0.507586i) q^{60} +(4.93580 - 8.54905i) q^{61} +(0.875325 - 2.81223i) q^{62} +(-18.6792 - 2.22555i) q^{63} +(1.89937 - 7.77125i) q^{64} +(0.769162 - 1.33223i) q^{65} +(2.39444 + 10.6155i) q^{66} +(3.13260 + 5.42583i) q^{67} +(-6.52414 - 13.7263i) q^{68} +20.7898 q^{69} +(2.19487 + 3.03027i) q^{70} -3.98199i q^{71} +(2.84494 + 19.9079i) q^{72} +(-2.73292 + 1.57785i) q^{73} +(0.887631 + 3.93523i) q^{74} +(-2.75363 - 1.58981i) q^{75} +(2.00518 - 2.90905i) q^{76} +(3.83499 - 5.12736i) q^{77} +(-6.60478 - 2.05578i) q^{78} +(-1.75753 - 1.01471i) q^{79} +(2.52575 - 3.10171i) q^{80} +(-10.1111 - 17.5129i) q^{81} +(7.17379 - 6.62231i) q^{82} +0.288923i q^{83} +(11.1205 - 12.6259i) q^{84} -7.59894i q^{85} +(-1.33666 - 1.44797i) q^{86} +(-3.72789 - 6.45690i) q^{87} +(-6.35248 - 2.54946i) q^{88} +(12.0399 + 6.95124i) q^{89} +(-2.98829 + 9.60076i) q^{90} +(1.60371 + 3.74075i) q^{91} +(-7.42153 + 10.7669i) q^{92} +(-5.73485 - 3.31102i) q^{93} +(-15.6110 + 3.52122i) q^{94} +(1.52991 - 0.883293i) q^{95} +(-16.1045 - 8.01026i) q^{96} -0.249149i q^{97} +(-9.89833 - 0.151716i) q^{98} +17.2067 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9	$ 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) $ 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	0.959261	+	1.03914i	0.678300	+	0.734785i
$2$	0.959261	+	1.03914i	0.678300	+	0.734785i
$3$	2.75363	−	1.58981i	1.58981	−	0.917878i	0.596475	−	0.802632i	$-0.296568\pi$
$3$	2.75363	−	1.58981i	1.58981	−	0.917878i	0.993337	−	0.115247i	$-0.0367658\pi$
$4$	−0.159637	+	1.99362i	−0.0798186	+	0.996809i
$5$	−0.500000	+	0.866025i	−0.223607	+	0.387298i
$5$	−0.500000	+	0.866025i	−0.223607	+	0.387298i
$6$	4.29350	+	1.33638i	1.75281	+	0.545574i
$7$	−1.04250	−	2.43170i	−0.394030	−	0.919098i
$7$	−1.04250	−	2.43170i	−0.394030	−	0.919098i
$8$	−2.22479	+	1.74651i	−0.786582	+	0.617486i
$9$	3.55500	−	6.15745i	1.18500	−	2.05248i
$10$	−1.37955	+	0.311173i	−0.436254	+	0.0984014i
$11$	1.21003	+	2.09584i	0.364838	+	0.631919i	0.988750	−	0.149576i	$-0.0477909\pi$
$11$	1.21003	+	2.09584i	0.364838	+	0.631919i	−0.623912	+	0.781495i	$0.714458\pi$
$12$	2.72990	+	5.74349i	0.788053	+	1.65800i
$13$	−1.53832			−0.426654			−0.213327	−	0.976981i	$-0.568430\pi$
$13$	−1.53832			−0.426654			−0.213327	+	0.976981i	$0.568430\pi$
$14$	1.52685	−	3.41595i	0.408069	−	0.912951i
$15$			3.17962i			0.820975i
$16$	−3.94903	−	0.636512i	−0.987258	−	0.159128i
$17$	−6.58087	+	3.79947i	−1.59610	+	0.921506i	−0.603866	+	0.797086i	$0.706374\pi$
$17$	−6.58087	+	3.79947i	−1.59610	+	0.921506i	−0.992230	+	0.124421i	$0.960293\pi$
$18$	9.80864	−	2.21244i	2.31192	−	0.521477i
$19$	−1.52991	−	0.883293i	−0.350985	−	0.202641i	0.314134	−	0.949379i	$-0.398286\pi$
$19$	−1.52991	−	0.883293i	−0.350985	−	0.202641i	−0.665119	+	0.746737i	$0.731619\pi$
$20$	−1.64671	−	1.13506i	−0.368215	−	0.253807i
$21$	−6.73663	−	5.03864i	−1.47005	−	1.09952i
$22$	−1.01714	+	3.26785i	−0.216855	+	0.696708i
$23$	5.66247	+	3.26923i	1.18071	+	0.681681i	0.956178	−	0.292787i	$-0.0945826\pi$
$23$	5.66247	+	3.26923i	1.18071	+	0.681681i	0.224528	+	0.974468i	$0.427916\pi$
$24$	−3.34963	+	8.34626i	−0.683740	+	1.70367i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	−1.47565	−	1.59854i	−0.289399	−	0.313499i
$27$		−	13.0683i		−	2.51499i
$28$	5.01431	−	1.69017i	0.947616	−	0.319411i
$29$		−	2.34486i		−	0.435430i	−0.976012	−	0.217715i	$-0.930140\pi$
$29$		−	2.34486i		−	0.435430i	0.976012	−	0.217715i	$-0.0698604\pi$
$30$	−3.30408	+	3.05009i	−0.603241	+	0.556867i
$31$	−1.04132	−	1.80363i	−0.187027	−	0.323941i	0.757230	−	0.653148i	$-0.226552\pi$
$31$	−1.04132	−	1.80363i	−0.187027	−	0.323941i	−0.944258	+	0.329207i	$0.893219\pi$
$32$	−3.12672	−	4.71419i	−0.552732	−	0.833359i
$33$	6.66397	+	3.84745i	1.16005	+	0.669754i
$34$	−10.2610	−	3.19379i	−1.75974	−	0.547730i
$35$	2.62717	+	0.313017i	0.444073	+	0.0529095i
$36$	11.7081	+	8.07028i	1.95135	+	1.34505i
$37$	2.47037	+	1.42627i	0.406126	+	0.234477i	0.689124	−	0.724644i	$-0.257996\pi$
$37$	2.47037	+	1.42627i	0.406126	+	0.234477i	−0.282998	+	0.959121i	$0.591329\pi$
$38$	−0.549713	−	2.43710i	−0.0891753	−	0.395350i
$39$	−4.23598	+	2.44564i	−0.678300	+	0.391617i
$40$	−0.400131	−	2.79998i	−0.0632663	−	0.442716i
$41$		−	6.90356i		−	1.07815i	−0.842256	−	0.539077i	$-0.818773\pi$
$41$		−	6.90356i		−	1.07815i	0.842256	−	0.539077i	$-0.181227\pi$
$42$	−1.22632	−	11.8337i	−0.189225	−	1.82598i
$43$	−1.39343			−0.212496			−0.106248	−	0.994340i	$-0.533884\pi$
$43$	−1.39343			−0.212496			−0.106248	+	0.994340i	$0.533884\pi$
$44$	−4.37147	+	2.07777i	−0.659023	+	0.313235i
$45$	3.55500	+	6.15745i	0.529949	+	0.917898i
$46$	2.03459	+	9.02015i	0.299984	+	1.32995i
$47$	−5.65799	+	9.79993i	−0.825303	+	1.42947i	0.0763851	+	0.997078i	$0.475662\pi$
$47$	−5.65799	+	9.79993i	−0.825303	+	1.42947i	−0.901688	+	0.432388i	$0.857671\pi$
$48$	−11.8861	+	4.52550i	−1.71561	+	0.653199i
$49$	−4.82637	+	5.07012i	−0.689481	+	0.724304i
$50$	0.420294	−	1.35032i	0.0594385	−	0.190964i
$51$	−12.0809	+	20.9247i	−1.69166	+	2.93004i
$52$	0.245574	−	3.06683i	0.0340549	−	0.425293i
$53$	6.82251	−	3.93898i	0.937144	−	0.541060i	0.0480800	−	0.998843i	$-0.484690\pi$
$53$	6.82251	−	3.93898i	0.937144	−	0.541060i	0.889064	+	0.457783i	$0.151356\pi$
$54$	13.5798	−	12.5359i	1.84798	−	1.70592i
$55$	−2.42006			−0.326321
$56$	6.56636	+	3.58928i	0.877467	+	0.479638i
$57$	−5.61708			−0.744000
$58$	2.43665	−	2.24934i	0.319948	−	0.295352i
$59$	4.90087	−	2.82952i	0.638038	−	0.368372i	−0.145820	−	0.989311i	$-0.546582\pi$
$59$	4.90087	−	2.82952i	0.638038	−	0.368372i	0.783859	+	0.620939i	$0.213249\pi$
$60$	−6.33896	−	0.507586i	−0.818356	−	0.0655291i
$61$	4.93580	−	8.54905i	0.631964	−	1.09459i	−0.355186	−	0.934796i	$-0.615582\pi$
$61$	4.93580	−	8.54905i	0.631964	−	1.09459i	0.987150	−	0.159798i	$-0.0510844\pi$
$62$	0.875325	−	2.81223i	0.111166	−	0.357154i
$63$	−18.6792	−	2.22555i	−2.35336	−	0.280393i
$64$	1.89937	−	7.77125i	0.237422	−	0.971407i
$65$	0.769162	−	1.33223i	0.0954027	−	0.165242i
$66$	2.39444	+	10.6155i	0.294735	+	1.30668i
$67$	3.13260	+	5.42583i	0.382708	+	0.662870i	0.991448	−	0.130499i	$-0.0416581\pi$
$67$	3.13260	+	5.42583i	0.382708	+	0.662870i	−0.608740	+	0.793370i	$0.708325\pi$
$68$	−6.52414	−	13.7263i	−0.791168	−	1.66456i
$69$	20.7898			2.50280
$70$	2.19487	+	3.03027i	0.262337	+	0.362187i
$71$		−	3.98199i		−	0.472575i	−0.971683	−	0.236287i	$-0.924069\pi$
$71$		−	3.98199i		−	0.472575i	0.971683	−	0.236287i	$-0.0759307\pi$
$72$	2.84494	+	19.9079i	0.335279	+	2.34617i
$73$	−2.73292	+	1.57785i	−0.319865	+	0.184674i	−0.651332	−	0.758793i	$-0.725790\pi$
$73$	−2.73292	+	1.57785i	−0.319865	+	0.184674i	0.331468	+	0.943467i	$0.392456\pi$
$74$	0.887631	+	3.93523i	0.103185	+	0.457461i
$75$	−2.75363	−	1.58981i	−0.317962	−	0.183576i
$76$	2.00518	−	2.90905i	0.230010	−	0.333691i
$77$	3.83499	−	5.12736i	0.437038	−	0.584317i
$78$	−6.60478	−	2.05578i	−0.747845	−	0.232771i
$79$	−1.75753	−	1.01471i	−0.197738	−	0.114164i	0.397862	−	0.917445i	$-0.369752\pi$
$79$	−1.75753	−	1.01471i	−0.197738	−	0.114164i	−0.595600	+	0.803281i	$0.703086\pi$
$80$	2.52575	−	3.10171i	0.282388	−	0.346781i
$81$	−10.1111	−	17.5129i	−1.12345	−	1.94588i
$82$	7.17379	−	6.62231i	0.792212	−	0.731312i
$83$			0.288923i			0.0317134i	0.999874	+	0.0158567i	$0.00504756\pi$
$83$			0.288923i			0.0317134i	−0.999874	+	0.0158567i	$0.994952\pi$
$84$	11.1205	−	12.6259i	1.21335	−	1.37760i
$85$		−	7.59894i		−	0.824220i
$86$	−1.33666	−	1.44797i	−0.144136	−	0.156139i
$87$	−3.72789	−	6.45690i	−0.399672	−	0.692252i
$88$	−6.35248	−	2.54946i	−0.677176	−	0.271773i
$89$	12.0399	+	6.95124i	1.27623	+	0.736830i	0.976152	−	0.217086i	$-0.0696553\pi$
$89$	12.0399	+	6.95124i	1.27623	+	0.736830i	0.300074	+	0.953916i	$0.402989\pi$
$90$	−2.98829	+	9.60076i	−0.314994	+	1.01201i
$91$	1.60371	+	3.74075i	0.168114	+	0.392137i
$92$	−7.42153	+	10.7669i	−0.773748	+	1.12253i
$93$	−5.73485	−	3.31102i	−0.594677	−	0.343337i
$94$	−15.6110	+	3.52122i	−1.61015	+	0.363186i
$95$	1.52991	−	0.883293i	0.156965	−	0.0906240i
$96$	−16.1045	−	8.01026i	−1.64366	−	0.817543i
$97$		−	0.249149i		−	0.0252972i	−0.999920	−	0.0126486i	$-0.995974\pi$
$97$		−	0.249149i		−	0.0252972i	0.999920	−	0.0126486i	$-0.00402629\pi$
$98$	−9.89833	−	0.151716i	−0.999883	−	0.0153256i
$99$	17.2067			1.72934
$100$	1.80634	−	0.858559i	0.180634	−	0.0858559i
$101$	−4.87755	−	8.44817i	−0.485335	−	0.840624i	0.514523	−	0.857476i	$-0.327969\pi$
$101$	−4.87755	−	8.44817i	−0.485335	−	0.840624i	−0.999858	+	0.0168520i	$0.994636\pi$
$102$	−33.3325	+	7.51848i	−3.30041	+	0.744440i
$103$	−2.99947	+	5.19523i	−0.295546	+	0.511902i	−0.975112	−	0.221713i	$-0.928835\pi$
$103$	−2.99947	+	5.19523i	−0.295546	+	0.511902i	0.679565	+	0.733615i	$0.262168\pi$
$104$	3.42244	−	2.68670i	0.335598	−	0.263453i
$105$	7.73190	−	3.31477i	0.754557	−	0.323489i
$106$	10.6377	+	3.31106i	1.03323	+	0.321598i
$107$	−0.0626308	+	0.108480i	−0.00605475	+	0.0104871i	−0.869037	−	0.494747i	$-0.835261\pi$
$107$	−0.0626308	+	0.108480i	−0.00605475	+	0.0104871i	0.862982	+	0.505234i	$0.168594\pi$
$108$	26.0532	+	2.08618i	2.50697	+	0.200743i
$109$	−0.399788	+	0.230818i	−0.0382928	+	0.0221083i	−0.519024	−	0.854760i	$-0.673705\pi$
$109$	−0.399788	+	0.230818i	−0.0382928	+	0.0221083i	0.480731	+	0.876868i	$0.340371\pi$
$110$	−2.32147	−	2.51479i	−0.221344	−	0.239776i
$111$	9.06999			0.860885
$112$	2.56908	+	10.2664i	0.242755	+	0.970088i
$113$	−9.65049			−0.907842			−0.453921	−	0.891042i	$-0.649975\pi$
$113$	−9.65049			−0.907842			−0.453921	+	0.891042i	$0.649975\pi$
$114$	−5.38824	−	5.83695i	−0.504655	−	0.546680i
$115$	−5.66247	+	3.26923i	−0.528028	+	0.304857i
$116$	4.67477	+	0.374328i	0.434041	+	0.0347555i
$117$	−5.46874	+	9.47214i	−0.505586	+	0.875700i
$118$	7.64148	+	2.37846i	0.703455	+	0.218955i
$119$	16.0998	+	12.0418i	1.47586	+	1.10387i
$120$	−5.55326	−	7.07399i	−0.506941	−	0.645764i
$121$	2.57165	−	4.45422i	0.233786	−	0.404929i
$122$	13.6184	−	3.07177i	1.23295	−	0.278105i
$123$	−10.9754	−	19.0099i	−0.989615	−	1.71406i
$124$	3.76198	−	1.78808i	0.337836	−	0.160574i
$125$	1.00000			0.0894427
$126$	−15.6056	−	21.5452i	−1.39025	−	1.91940i
$127$			9.40385i			0.834457i	0.908802	+	0.417229i	$0.136999\pi$
$127$			9.40385i			0.834457i	−0.908802	+	0.417229i	$0.863001\pi$
$128$	9.89744	−	5.48094i	0.874818	−	0.484451i
$129$	−3.83699	+	2.21529i	−0.337828	+	0.195045i
$130$	2.12220	−	0.478684i	0.186129	−	0.0419834i
$131$	16.2949	+	9.40788i	1.42369	+	0.821970i	0.996612	−	0.0822423i	$-0.0262081\pi$
$131$	16.2949	+	9.40788i	1.42369	+	0.821970i	0.427082	+	0.904213i	$0.359541\pi$
$132$	−8.73416	+	12.6712i	−0.760211	+	1.10289i
$133$	−0.552971	+	4.64112i	−0.0479486	+	0.402436i
$134$	−2.63323	+	8.46001i	−0.227476	+	0.730833i
$135$	11.3175	+	6.53414i	0.974052	+	0.562369i
$136$	8.00523	−	19.9466i	0.686443	−	1.71041i
$137$	7.55473	+	13.0852i	0.645444	+	1.11794i	0.984199	+	0.177067i	$0.0566609\pi$
$137$	7.55473	+	13.0852i	0.645444	+	1.11794i	−0.338755	+	0.940875i	$0.610006\pi$
$138$	19.9429	+	21.6036i	1.69765	+	1.83902i
$139$		−	11.1193i		−	0.943129i	−0.881831	−	0.471565i	$-0.843689\pi$
$139$		−	11.1193i		−	0.943129i	0.881831	−	0.471565i	$-0.156311\pi$
$140$	−1.04343	+	5.18761i	−0.0881859	+	0.438433i
$141$			35.9806i			3.03011i
$142$	4.13786	−	3.81976i	0.347241	−	0.320548i
$143$	−1.86142	−	3.22407i	−0.155660	−	0.269611i
$144$	−17.9581	+	22.0532i	−1.49651	+	1.83776i
$145$	2.03071	+	1.17243i	0.168641	+	0.0973652i
$146$	−4.26120	−	1.32633i	−0.352660	−	0.109767i
$147$	−5.22951	+	21.6343i	−0.431323	+	1.78437i
$148$	−3.23780	+	4.69729i	−0.266145	+	0.386115i
$149$	9.67998	+	5.58874i	0.793014	+	0.457847i	0.841023	−	0.541000i	$-0.181954\pi$
$149$	9.67998	+	5.58874i	0.793014	+	0.457847i	−0.0480082	+	0.998847i	$0.515287\pi$
$150$	−0.989412	−	4.38647i	−0.0807851	−	0.358153i
$151$	−13.1832	+	7.61131i	−1.07283	+	0.619399i	−0.928954	−	0.370196i	$-0.879290\pi$
$151$	−13.1832	+	7.61131i	−1.07283	+	0.619399i	−0.143878	+	0.989595i	$0.545957\pi$
$152$	4.94641	−	0.706866i	0.401207	−	0.0573344i
$153$			54.0285i			4.36794i
$154$	9.00682	−	0.933370i	0.725790	−	0.0752131i
$155$	2.08265			0.167282
$156$	−4.19946	−	8.83535i	−0.336226	−	0.707394i
$157$	−0.357836	−	0.619791i	−0.0285584	−	0.0494647i	0.851393	−	0.524528i	$-0.175758\pi$
$157$	−0.357836	−	0.619791i	−0.0285584	−	0.0494647i	−0.879951	+	0.475064i	$0.842425\pi$
$158$	−0.631502	−	2.79970i	−0.0502396	−	0.222733i
$159$	12.5245	−	21.6930i	0.993255	−	1.72037i
$160$	5.64597	−	0.350728i	0.446353	−	0.0277275i
$161$	2.04664	−	17.1776i	0.161298	−	1.35379i
$162$	8.49926	−	27.3063i	0.667765	−	2.14539i
$163$	0.890005	−	1.54153i	0.0697105	−	0.120742i	−0.829063	−	0.559155i	$-0.811126\pi$
$163$	0.890005	−	1.54153i	0.0697105	−	0.120742i	0.898774	+	0.438413i	$0.144459\pi$
$164$	13.7631	+	1.10207i	1.07471	+	0.0860568i
$165$	−6.66397	+	3.84745i	−0.518790	+	0.299523i
$166$	−0.300233	+	0.277153i	−0.0233026	+	0.0215112i
$167$	−5.69155			−0.440426			−0.220213	−	0.975452i	$-0.570675\pi$
$167$	−5.69155			−0.440426			−0.220213	+	0.975452i	$0.570675\pi$
$168$	23.7876	−	0.555710i	1.83526	−	0.0428739i
$169$	−10.6336			−0.817966
$170$	7.89638	−	7.28936i	0.605625	−	0.559069i
$171$	−10.8777	+	6.28022i	−0.831835	+	0.480260i
$172$	0.222443	−	2.77796i	0.0169611	−	0.211818i
$173$	9.46941	−	16.4015i	0.719946	−	1.24698i	−0.241075	−	0.970506i	$-0.577500\pi$
$173$	9.46941	−	16.4015i	0.719946	−	1.24698i	0.961021	−	0.276476i	$-0.0891666\pi$
$174$	3.13362	−	10.0677i	0.237559	−	0.763228i
$175$	−1.58467	+	2.11869i	−0.119789	+	0.160158i
$176$	−3.44443	−	9.04673i	−0.259634	−	0.681923i
$177$	8.99680	−	15.5829i	0.676241	−	1.17128i
$178$	4.32607	+	19.1792i	0.324253	+	1.43754i
$179$	−1.49172	−	2.58374i	−0.111497	−	0.193118i	0.804877	−	0.593441i	$-0.202231\pi$
$179$	−1.49172	−	2.58374i	−0.111497	−	0.193118i	−0.916374	+	0.400323i	$0.868898\pi$
$180$	−12.8431	+	6.10436i	−0.957269	+	0.454992i
$181$	−14.9790			−1.11338			−0.556691	−	0.830720i	$-0.687929\pi$
$181$	−14.9790			−1.11338			−0.556691	+	0.830720i	$0.687929\pi$
$182$	−2.34880	+	5.25483i	−0.174104	+	0.389514i
$183$		−	31.3880i		−	2.32026i
$184$	−18.3075	+	2.61624i	−1.34965	+	0.192872i
$185$	−2.47037	+	1.42627i	−0.181625	+	0.104861i
$186$	−2.06060	−	9.13547i	−0.151090	−	0.669845i
$187$	−15.9261	−	9.19496i	−1.16463	−	0.672402i
$188$	−18.6341	−	12.8443i	−1.35903	−	0.936767i
$189$	−31.7782	+	13.6237i	−2.31152	+	0.990981i
$190$	2.38545	+	0.742486i	0.173059	+	0.0538656i
$191$	22.4510	+	12.9621i	1.62450	+	0.937904i	0.985696	+	0.168532i	$0.0539026\pi$
$191$	22.4510	+	12.9621i	1.62450	+	0.937904i	0.638801	+	0.769372i	$0.279431\pi$
$192$	−7.12465	−	24.4188i	−0.514177	−	1.76228i
$193$	−3.55040	−	6.14947i	−0.255563	−	0.442648i	0.709485	−	0.704720i	$-0.248928\pi$
$193$	−3.55040	−	6.14947i	−0.255563	−	0.442648i	−0.965048	+	0.262072i	$0.915594\pi$
$194$	0.258901	−	0.238999i	0.0185880	−	0.0171591i
$195$		−	4.89129i		−	0.350272i
$196$	−9.33743	−	10.4313i	−0.666959	−	0.745094i
$197$		−	0.614082i		−	0.0437515i	−0.999761	−	0.0218758i	$-0.993036\pi$
$197$		−	0.614082i		−	0.0437515i	0.999761	−	0.0218758i	$-0.00696383\pi$
$198$	16.5057	+	17.8802i	1.17301	+	1.27069i
$199$	4.47143	+	7.74474i	0.316971	+	0.549010i	0.979854	−	0.199713i	$-0.0640009\pi$
$199$	4.47143	+	7.74474i	0.316971	+	0.549010i	−0.662884	+	0.748723i	$0.730668\pi$
$200$	2.62492	+	1.05347i	0.185610	+	0.0744913i
$201$	17.2521	+	9.96050i	1.21687	+	0.702559i
$202$	4.10001	−	13.1725i	0.288476	−	0.926812i
$203$	−5.70202	+	2.44453i	−0.400203	+	0.171572i
$204$	−39.7873	−	27.4250i	−2.78567	−	1.92014i
$205$	5.97866	+	3.45178i	0.417568	+	0.241083i
$206$	−8.27586	+	1.86671i	−0.576607	+	0.130060i
$207$	40.2602	−	23.2442i	2.79828	−	1.61559i
$208$	6.07489	+	0.979161i	0.421218	+	0.0678926i
$209$		−	4.27525i		−	0.295725i
$210$	10.8614	+	4.85482i	0.749510	+	0.335015i
$211$	10.6756			0.734942			0.367471	−	0.930035i	$-0.380224\pi$
$211$	10.6756			0.734942			0.367471	+	0.930035i	$0.380224\pi$
$212$	6.76369	+	14.2303i	0.464532	+	0.977341i
$213$	−6.33061	−	10.9649i	−0.433766	−	0.751305i
$214$	−0.172805	+	0.0389780i	−0.0118127	+	0.00266448i
$215$	0.696713	−	1.20674i	0.0475154	−	0.0822992i
$216$	22.8239	+	29.0742i	1.55297	+	1.97825i
$217$	−3.30030	+	4.41248i	−0.224039	+	0.299539i
$218$	−0.623354	−	0.194023i	−0.0422189	−	0.0131409i
$219$	−5.01698	+	8.68967i	−0.339016	+	0.587194i
$220$	0.386332	−	4.82469i	0.0260465	−	0.325280i
$221$	10.1235	−	5.84481i	0.680981	−	0.393164i
$222$	8.70048	+	9.42502i	0.583938	+	0.632566i
$223$	−1.40260			−0.0939252			−0.0469626	−	0.998897i	$-0.514954\pi$
$223$	−1.40260			−0.0939252			−0.0469626	+	0.998897i	$0.514954\pi$
$224$	−8.20389	+	12.5178i	−0.548146	+	0.836383i
$225$	−7.11001			−0.474000
$226$	−9.25734	−	10.0282i	−0.615789	−	0.667069i
$227$	3.48428	−	2.01165i	0.231260	−	0.133518i	−0.379893	−	0.925030i	$-0.624039\pi$
$227$	3.48428	−	2.01165i	0.231260	−	0.133518i	0.611153	+	0.791512i	$0.290706\pi$
$228$	0.896695	−	11.1983i	0.0593851	−	0.741626i
$229$	−10.8680	+	18.8239i	−0.718178	+	1.24392i	0.243542	+	0.969890i	$0.421690\pi$
$229$	−10.8680	+	18.8239i	−0.718178	+	1.24392i	−0.961721	+	0.274031i	$0.911643\pi$
$230$	−8.82898	−	2.74807i	−0.582165	−	0.181203i
$231$	2.40863	−	20.2158i	0.158476	−	1.33010i
$232$	4.09534	+	5.21683i	0.268872	+	0.342502i
$233$	5.69230	−	9.85935i	0.372915	−	0.645907i	−0.617098	−	0.786886i	$-0.711692\pi$
$233$	5.69230	−	9.85935i	0.372915	−	0.645907i	0.990013	+	0.140979i	$0.0450251\pi$
$234$	−15.0889	+	3.40345i	−0.986390	+	0.222490i
$235$	−5.65799	−	9.79993i	−0.369087	−	0.639277i
$236$	4.85862	+	10.2222i	0.316269	+	0.665406i
$237$	−6.45281			−0.419155
$238$	2.93076	+	28.2812i	0.189973	+	1.83320i
$239$			25.7524i			1.66578i	0.553435	+	0.832892i	$0.313317\pi$
$239$			25.7524i			1.66578i	−0.553435	+	0.832892i	$0.686683\pi$
$240$	2.02387	−	12.5564i	0.130640	−	0.810514i
$241$	−1.67062	+	0.964530i	−0.107614	+	0.0621309i	−0.552841	−	0.833287i	$-0.686456\pi$
$241$	−1.67062	+	0.964530i	−0.107614	+	0.0621309i	0.445227	+	0.895418i	$0.353123\pi$
$242$	7.09545	−	1.60045i	0.456113	−	0.102881i
$243$	−21.7321	−	12.5470i	−1.39412	−	0.804893i
$244$	16.2556	+	11.2048i	1.04066	+	0.717317i
$245$	−1.97767	−	6.71482i	−0.126349	−	0.428994i
$246$	9.22576	−	29.6404i	0.588213	−	1.88980i
$247$	2.35349	+	1.35879i	0.149749	+	0.0864577i
$248$	5.46679	+	2.19400i	0.347141	+	0.139319i
$249$	0.459334	+	0.795589i	0.0291091	+	0.0504184i
$250$	0.959261	+	1.03914i	0.0606690	+	0.0657212i
$251$		−	12.9948i		−	0.820222i	−0.912036	−	0.410111i	$-0.865490\pi$
$251$		−	12.9948i		−	0.820222i	0.912036	−	0.410111i	$-0.134510\pi$
$252$	7.41879	−	36.8839i	0.467340	−	2.32347i
$253$			15.8235i			0.994813i
$254$	−9.77195	+	9.02075i	−0.613147	+	0.566012i
$255$	−12.0809	−	20.9247i	−0.756534	−	1.31036i
$256$	15.1897	+	5.02721i	0.949357	+	0.314201i
$257$	−14.4110	−	8.32019i	−0.898933	−	0.518999i	−0.0220792	−	0.999756i	$-0.507029\pi$
$257$	−14.4110	−	8.32019i	−0.898933	−	0.518999i	−0.876854	+	0.480757i	$0.840362\pi$
$258$	−5.98267	−	1.86214i	−0.372465	−	0.115932i
$259$	0.892891	−	7.49409i	0.0554815	−	0.465660i
$260$	2.53317	+	1.74609i	0.157100	+	0.108288i
$261$	−14.4384	−	8.33600i	−0.893713	−	0.515985i
$262$	5.85495	+	25.9574i	0.361720	+	1.60365i
$263$	5.95477	−	3.43799i	0.367187	−	0.211995i	−0.305042	−	0.952339i	$-0.598670\pi$
$263$	5.95477	−	3.43799i	0.367187	−	0.211995i	0.672229	+	0.740343i	$0.265337\pi$
$264$	−21.5456	+	3.07897i	−1.32604	+	0.189497i
$265$			7.87796i			0.483939i
$266$	−5.35323	+	3.87743i	−0.328228	+	0.237740i
$267$	44.2046			2.70528
$268$	−11.3171	+	5.37905i	−0.691303	+	0.328578i
$269$	−11.0639	−	19.1633i	−0.674580	−	1.16841i	−0.976591	−	0.215102i	$-0.930991\pi$
$269$	−11.0639	−	19.1633i	−0.674580	−	1.16841i	0.302012	−	0.953304i	$-0.402342\pi$
$270$	4.06649	+	18.0284i	0.247479	+	1.09717i
$271$	5.29547	−	9.17203i	0.321677	−	0.557161i	−0.659157	−	0.752005i	$-0.729087\pi$
$271$	5.29547	−	9.17203i	0.321677	−	0.557161i	0.980834	+	0.194844i	$0.0624201\pi$
$272$	28.4065	−	10.8154i	1.72240	−	0.655781i
$273$	10.3631	+	7.75105i	0.627204	+	0.469115i
$274$	−6.35041	+	20.4025i	−0.383642	+	1.23256i
$275$	1.21003	−	2.09584i	0.0729677	−	0.126384i
$276$	−3.31883	+	41.4470i	−0.199770	+	2.49481i
$277$	−16.5032	+	9.52815i	−0.991583	+	0.572491i	−0.905747	−	0.423818i	$-0.860689\pi$
$277$	−16.5032	+	9.52815i	−0.991583	+	0.572491i	−0.0858360	+	0.996309i	$0.527356\pi$
$278$	11.5546	−	10.6663i	0.692997	−	0.639724i
$279$	−14.8076			−0.886511
$280$	−6.39159	+	3.89199i	−0.381970	+	0.232591i
$281$	−17.6280			−1.05160			−0.525799	−	0.850609i	$-0.676234\pi$
$281$	−17.6280			−1.05160			−0.525799	+	0.850609i	$0.676234\pi$
$282$	−37.3890	+	34.5147i	−2.22648	+	2.05532i
$283$	0.485654	−	0.280393i	0.0288691	−	0.0166676i	−0.485496	−	0.874239i	$-0.661361\pi$
$283$	0.485654	−	0.280393i	0.0288691	−	0.0166676i	0.514365	+	0.857571i	$0.328028\pi$
$284$	7.93857	+	0.635674i	0.471067	+	0.0377203i
$285$	2.80854	−	4.86453i	0.166364	−	0.288150i
$286$	1.56469	−	5.02701i	0.0925219	−	0.297253i
$287$	−16.7874	+	7.19699i	−0.990930	+	0.424825i
$288$	−40.1429	+	2.49368i	−2.36544	+	0.146941i
$289$	20.3719	−	35.2852i	1.19835	−	2.07560i
$290$	0.729658	+	3.23487i	0.0428470	+	0.189958i
$291$	−0.396100	−	0.686065i	−0.0232198	−	0.0402179i
$292$	−2.70936	−	5.70029i	−0.158554	−	0.333584i
$293$	−23.8016			−1.39051			−0.695253	−	0.718765i	$-0.744708\pi$
$293$	−23.8016			−1.39051			−0.695253	+	0.718765i	$0.744708\pi$
$294$	−27.4976	+	15.3187i	−1.60369	+	0.893406i
$295$			5.65903i			0.329482i
$296$	−7.98704	+	1.14139i	−0.464238	+	0.0663419i
$297$	27.3890	−	15.8130i	1.58927	−	0.917565i
$298$	3.47812	+	15.4199i	0.201482	+	0.893253i
$299$	−8.71070	−	5.02913i	−0.503753	−	0.290842i
$300$	3.60906	−	5.23591i	0.208369	−	0.302295i
$301$	1.45265	+	3.38840i	0.0837295	+	0.195304i
$302$	−20.5553	−	6.39797i	−1.18283	−	0.368162i
$303$	−26.8620	−	15.5088i	−1.54318	−	0.890956i
$304$	5.47943	+	4.46196i	0.314267	+	0.255911i
$305$	4.93580	+	8.54905i	0.282623	+	0.489517i
$306$	−56.1433	+	51.8274i	−3.20950	+	2.96278i
$307$			9.32160i			0.532012i	0.963971	+	0.266006i	$0.0857041\pi$
$307$			9.32160i			0.532012i	−0.963971	+	0.266006i	$0.914296\pi$
$308$	9.60979	+	8.46403i	0.547569	+	0.482283i
$309$			19.0744i			1.08510i
$310$	1.99780	+	2.16417i	0.113468	+	0.122917i
$311$	−2.73260	−	4.73300i	−0.154951	−	0.268384i	0.778090	−	0.628153i	$-0.216189\pi$
$311$	−2.73260	−	4.73300i	−0.154951	−	0.268384i	−0.933041	+	0.359769i	$0.882855\pi$
$312$	5.15281	−	12.8392i	0.291720	−	0.726879i
$313$	−19.9919	−	11.5423i	−1.13001	−	0.652412i	−0.186073	−	0.982536i	$-0.559576\pi$
$313$	−19.9919	−	11.5423i	−1.13001	−	0.652412i	−0.943937	+	0.330124i	$0.892909\pi$
$314$	0.300793	−	0.966384i	0.0169747	−	0.0545362i
$315$	11.2670	−	15.0639i	0.634822	−	0.848754i
$316$	2.30352	−	3.34187i	0.129583	−	0.187995i
$317$	−26.2154	−	15.1355i	−1.47241	−	0.850094i	−0.472887	−	0.881123i	$-0.656788\pi$
$317$	−26.2154	−	15.1355i	−1.47241	−	0.850094i	−0.999518	+	0.0310291i	$0.990122\pi$
$318$	34.5564	−	7.79454i	1.93783	−	0.437096i
$319$	4.91445	−	2.83736i	0.275157	−	0.158862i
$320$	5.78042	+	5.53053i	0.323135	+	0.309166i
$321$			0.398285i			0.0222301i
$322$	19.8133	−	14.3511i	1.10415	−	0.799754i
$323$	13.4242			0.746941
$324$	36.5282	−	17.3619i	2.02934	−	0.964552i
$325$	0.769162	+	1.33223i	0.0426654	+	0.0738987i
$326$	2.45562	−	0.553890i	0.136004	−	0.0306771i
$327$	−0.733914	+	1.27118i	−0.0405855	+	0.0702962i
$328$	12.0572	+	15.3590i	0.665746	+	0.848057i
$329$	29.7290	+	3.54209i	1.63901	+	0.195282i
$330$	−10.3905	−	3.23412i	−0.571980	−	0.178032i
$331$	0.262181	−	0.454110i	0.0144108	−	0.0249602i	−0.858730	−	0.512428i	$-0.828746\pi$
$331$	0.262181	−	0.454110i	0.0144108	−	0.0249602i	0.873141	+	0.487468i	$0.162079\pi$
$332$	−0.576003	−	0.0461229i	−0.0316123	−	0.00253132i
$333$	17.5643	−	10.1408i	0.962519	−	0.555711i
$334$	−5.45969	−	5.91434i	−0.298741	−	0.323618i
$335$	−6.26521			−0.342305
$336$	23.3960	+	24.1857i	1.27636	+	1.31944i
$337$	−3.41643			−0.186105			−0.0930524	−	0.995661i	$-0.529662\pi$
$337$	−3.41643			−0.186105			−0.0930524	+	0.995661i	$0.529662\pi$
$338$	−10.2004	−	11.0498i	−0.554826	−	0.601030i
$339$	−26.5739	+	15.3425i	−1.44330	+	0.833288i
$340$	15.1494	+	1.21307i	0.821591	+	0.0657881i
$341$	2.52007	−	4.36489i	0.136470	−	0.236372i
$342$	−16.9606	−	5.27908i	−0.917122	−	0.285460i
$343$	17.3606	+	6.45067i	0.937382	+	0.348304i
$344$	3.10008	−	2.43364i	0.167145	−	0.131213i
$345$	−10.3949	+	18.0045i	−0.559643	+	0.969330i
$346$	26.1271	−	5.89324i	1.40460	−	0.316823i
$347$	4.64349	+	8.04275i	0.249275	+	0.431758i	0.963325	−	0.268337i	$-0.0864742\pi$
$347$	4.64349	+	8.04275i	0.249275	+	0.431758i	−0.714050	+	0.700095i	$0.753141\pi$
$348$	13.4677	−	6.40124i	0.721945	−	0.343142i
$349$	18.6699			0.999374			0.499687	−	0.866206i	$-0.333448\pi$
$349$	18.6699			0.999374			0.499687	+	0.866206i	$0.333448\pi$
$350$	−3.72173	+	0.385680i	−0.198935	+	0.0206155i
$351$			20.1032i			1.07303i
$352$	6.09674	−	12.2574i	0.324957	−	0.653323i
$353$	−11.7057	+	6.75828i	−0.623030	+	0.359707i	−0.778048	−	0.628205i	$-0.783790\pi$
$353$	−11.7057	+	6.75828i	−0.623030	+	0.359707i	0.155018	+	0.987912i	$0.450457\pi$
$354$	24.8232	−	5.59911i	1.31934	−	0.297590i
$355$	3.44850	+	1.99099i	0.183027	+	0.105671i
$356$	−15.7801	+	22.8933i	−0.836345	+	1.21334i
$357$	63.4770	+	7.56303i	3.35956	+	0.400278i
$358$	1.25392	−	4.02860i	0.0662720	−	0.212918i
$359$	−22.8266	−	13.1789i	−1.20474	−	0.695558i	−0.243135	−	0.969992i	$-0.578176\pi$
$359$	−22.8266	−	13.1789i	−1.20474	−	0.695558i	−0.961606	+	0.274435i	$0.911509\pi$
$360$	−18.6632	−	7.49016i	−0.983637	−	0.394766i
$361$	−7.93959	−	13.7518i	−0.417873	−	0.723777i
$362$	−14.3688	−	15.5653i	−0.755207	−	0.818096i
$363$		−	16.3537i		−	0.858348i
$364$	−7.71363	+	2.60002i	−0.404304	+	0.136278i
$365$		−	3.15571i		−	0.165177i
$366$	32.6166	−	30.1092i	1.70490	−	1.57384i
$367$	−17.7819	−	30.7992i	−0.928208	−	1.60770i	−0.786319	−	0.617821i	$-0.788016\pi$
$367$	−17.7819	−	30.7992i	−0.928208	−	1.60770i	−0.141889	−	0.989883i	$-0.545318\pi$
$368$	−20.2804	−	16.5145i	−1.05719	−	0.860878i
$369$	−42.5083	−	24.5422i	−2.21289	−	1.27761i
$370$	−3.85182	−	1.19890i	−0.200247	−	0.0623280i
$371$	−16.6909	−	12.4839i	−0.866550	−	0.648133i
$372$	7.51641	−	10.9046i	0.389708	−	0.565375i
$373$	20.6623	+	11.9294i	1.06985	+	0.617680i	0.928141	−	0.372228i	$-0.121406\pi$
$373$	20.6623	+	11.9294i	1.06985	+	0.617680i	0.141712	+	0.989908i	$0.454739\pi$
$374$	−5.72244	−	25.3699i	−0.295900	−	1.31185i
$375$	2.75363	−	1.58981i	0.142197	−	0.0820975i
$376$	−4.52788	−	31.6845i	−0.233507	−	1.63400i
$377$			3.60716i			0.185778i
$378$	−44.6406	−	19.9534i	−2.29606	−	1.02629i
$379$	−25.9215			−1.33150			−0.665748	−	0.746177i	$-0.731887\pi$
$379$	−25.9215			−1.33150			−0.665748	+	0.746177i	$0.731887\pi$
$380$	1.51672	+	3.19106i	0.0778061	+	0.163698i
$381$	14.9504	+	25.8948i	0.765930	+	1.32663i
$382$	8.06690	+	35.7638i	0.412738	+	1.82984i
$383$	−16.8541	+	29.1922i	−0.861205	+	1.49165i	0.00956071	+	0.999954i	$0.496957\pi$
$383$	−16.8541	+	29.1922i	−0.861205	+	1.49165i	−0.870766	+	0.491697i	$0.836377\pi$
$384$	18.5403	−	30.8276i	0.946130	−	1.57316i
$385$	2.52293	+	5.88488i	0.128580	+	0.299921i
$386$	2.98442	−	9.58832i	0.151903	−	0.488032i
$387$	−4.95364	+	8.57995i	−0.251807	+	0.436143i
$388$	0.496708	+	0.0397735i	0.0252165	+	0.00201919i
$389$	29.0131	−	16.7507i	1.47102	−	0.849294i	0.471550	−	0.881839i	$-0.343695\pi$
$389$	29.0131	−	16.7507i	1.47102	−	0.849294i	0.999470	+	0.0325451i	$0.0103612\pi$
$390$	5.08275	−	4.69202i	0.257375	−	0.237590i
$391$	−49.6853			−2.51269
$392$	1.88261	−	19.7093i	0.0950860	−	0.995469i
$393$	59.8271			3.01788
$394$	0.638119	−	0.589065i	0.0321480	−	0.0296766i
$395$	1.75753	−	1.01471i	0.0884311	−	0.0510557i
$396$	−2.74683	+	34.3035i	−0.138033	+	1.72382i
$397$	−2.24042	+	3.88052i	−0.112443	+	0.194757i	−0.916755	−	0.399450i	$-0.869201\pi$
$397$	−2.24042	+	3.88052i	−0.112443	+	0.194757i	0.804312	+	0.594208i	$0.202534\pi$
$398$	−3.75863	+	12.0757i	−0.188403	+	0.605299i
$399$	5.85583	+	13.6591i	0.293158	+	0.683809i
$400$	1.42328	+	3.73822i	0.0711640	+	0.186911i
$401$	−15.5291	+	26.8973i	−0.775488	+	1.34318i	0.159032	+	0.987273i	$0.449163\pi$
$401$	−15.5291	+	26.8973i	−0.775488	+	1.34318i	−0.934520	+	0.355911i	$0.884171\pi$
$402$	6.19887	+	27.4821i	0.309172	+	1.37068i
$403$	1.60189	+	2.77456i	0.0797960	+	0.138211i
$404$	17.6211	−	8.37534i	0.876681	−	0.416689i
$405$	20.2222			1.00485
$406$	−8.00994	−	3.58027i	−0.397527	−	0.177686i
$407$			6.90332i			0.342185i
$408$	−9.66788	−	67.6525i	−0.478631	−	3.34930i
$409$	−22.6647	+	13.0855i	−1.12070	+	0.647034i	−0.941579	−	0.336794i	$-0.890658\pi$
$409$	−22.6647	+	13.0855i	−1.12070	+	0.647034i	−0.179117	+	0.983828i	$0.557324\pi$
$410$	2.14820	+	9.52384i	0.106092	+	0.470349i
$411$	41.6059	+	24.0212i	2.05227	+	1.18488i
$412$	−9.87849	−	6.80915i	−0.486678	−	0.335463i
$413$	−11.9897	−	8.96767i	−0.589976	−	0.441270i
$414$	62.7741	+	19.5388i	3.08518	+	0.960280i
$415$	−0.250215	−	0.144462i	−0.0122826	−	0.00709134i
$416$	4.80991	+	7.25195i	0.235825	+	0.355556i
$417$	−17.6776	−	30.6186i	−0.865678	−	1.49940i
$418$	4.44260	−	4.10108i	0.217295	−	0.200590i
$419$			3.71538i			0.181508i	0.995873	+	0.0907540i	$0.0289277\pi$
$419$			3.71538i			0.181508i	−0.995873	+	0.0907540i	$0.971072\pi$
$420$	5.37409	+	15.9436i	0.262229	+	0.777969i
$421$		−	9.89335i		−	0.482172i	−0.970504	−	0.241086i	$-0.922496\pi$
$421$		−	9.89335i		−	0.482172i	0.970504	−	0.241086i	$-0.0775037\pi$
$422$	10.2407	+	11.0935i	0.498511	+	0.540024i
$423$	40.2283	+	69.6775i	1.95597	+	3.38784i
$424$	−8.29917	+	20.6790i	−0.403043	+	1.00426i
$425$	6.58087	+	3.79947i	0.319219	+	0.184301i
$426$	5.32144	−	17.0966i	0.257824	−	0.828335i
$427$	−25.9344	−	3.08997i	−1.25505	−	0.149534i
$428$	−0.206269	−	0.142179i	−0.00997039	−	0.00687250i
$429$	−10.2513	−	5.91862i	−0.494940	−	0.285753i
$430$	1.92231	−	0.433596i	0.0927019	−	0.0209099i
$431$	21.9155	−	12.6529i	1.05563	−	0.609471i	0.131413	−	0.991328i	$-0.458049\pi$
$431$	21.9155	−	12.6529i	1.05563	−	0.609471i	0.924222	+	0.381857i	$0.124715\pi$
$432$	−8.31811	+	51.6070i	−0.400205	+	2.48294i
$433$		−	3.51643i		−	0.168989i	−0.996424	−	0.0844944i	$-0.973073\pi$
$433$		−	3.51643i		−	0.168989i	0.996424	−	0.0844944i	$-0.0269275\pi$
$434$	−7.75105	+	0.803235i	−0.372062	+	0.0385565i
$435$	7.45579			0.357478
$436$	−0.396342	−	0.833872i	−0.0189813	−	0.0399352i
$437$	−5.77537	−	10.0032i	−0.276273	−	0.478520i
$438$	−13.8424	+	3.12230i	−0.661416	+	0.149189i
$439$	4.56047	−	7.89896i	0.217659	−	0.376997i	−0.736433	−	0.676511i	$-0.763491\pi$
$439$	4.56047	−	7.89896i	0.217659	−	0.376997i	0.954092	+	0.299514i	$0.0968245\pi$
$440$	5.38413	−	4.22668i	0.256678	−	0.201499i
$441$	14.0613	+	47.7424i	0.669584	+	2.27345i
$442$	15.7847	+	4.91308i	0.750801	+	0.233691i
$443$	−1.72708	+	2.99140i	−0.0820563	+	0.142126i	−0.904133	−	0.427251i	$-0.859482\pi$
$443$	−1.72708	+	2.99140i	−0.0820563	+	0.142126i	0.822077	+	0.569377i	$0.192815\pi$
$444$	−1.44791	+	18.0821i	−0.0687147	+	0.858138i
$445$	−12.0399	+	6.95124i	−0.570746	+	0.329520i
$446$	−1.34546	−	1.45750i	−0.0637094	−	0.0690148i
$447$	35.5402			1.68099
$448$	−20.8775	+	3.48285i	−0.986369	+	0.164549i
$449$	10.3646			0.489133			0.244567	−	0.969632i	$-0.421354\pi$
$449$	10.3646			0.489133			0.244567	+	0.969632i	$0.421354\pi$
$450$	−6.82035	−	7.38832i	−0.321514	−	0.348289i
$451$	14.4687	−	8.35353i	0.681306	−	0.393352i
$452$	1.54058	−	19.2394i	0.0724627	−	0.904945i
$453$	−24.2011	+	41.9175i	−1.13707	+	1.96946i
$454$	5.43272	+	1.69097i	0.254970	+	0.0793610i
$455$	−4.04144	−	0.481521i	−0.189465	−	0.0225740i
$456$	12.4968	−	9.81031i	0.585217	−	0.459410i
$457$	13.4566	−	23.3076i	0.629475	−	1.09028i	−0.358183	−	0.933652i	$-0.616603\pi$
$457$	13.4566	−	23.3076i	0.629475	−	1.09028i	0.987657	−	0.156630i	$-0.0500632\pi$
$458$	−29.9860	+	6.76366i	−1.40116	+	0.316045i
$459$	49.6525	+	86.0006i	2.31758	+	4.01417i
$460$	−5.61365	−	11.8107i	−0.261738	−	0.550676i
$461$	9.19023			0.428032			0.214016	−	0.976830i	$-0.431346\pi$
$461$	9.19023			0.428032			0.214016	+	0.976830i	$0.431346\pi$
$462$	23.3176	−	16.8893i	1.08483	−	0.785762i
$463$		−	10.8548i		−	0.504464i	−0.967667	−	0.252232i	$-0.918835\pi$
$463$		−	10.8548i		−	0.504464i	0.967667	−	0.252232i	$-0.0811645\pi$
$464$	−1.49253	+	9.25994i	−0.0692891	+	0.429882i
$465$	5.73485	−	3.31102i	0.265947	−	0.153545i
$466$	15.7057	−	3.54257i	0.727551	−	0.164107i
$467$	25.9792	+	14.9991i	1.20218	+	0.694077i	0.961039	−	0.276414i	$-0.0891463\pi$
$467$	25.9792	+	14.9991i	1.20218	+	0.694077i	0.241137	+	0.970491i	$0.422480\pi$
$468$	−18.0108	−	12.4147i	−0.832551	−	0.573870i
$469$	9.92825	−	13.2740i	0.458444	−	0.612937i
$470$	4.75604	−	15.2801i	0.219380	−	0.704821i
$471$	−1.97070	−	1.13778i	−0.0908051	−	0.0524263i
$472$	−5.96160	+	14.8545i	−0.274405	+	0.683734i
$473$	−1.68609	−	2.92039i	−0.0775265	−	0.134280i
$474$	−6.18993	−	6.70539i	−0.284313	−	0.307989i
$475$			1.76659i			0.0810565i
$476$	−26.5768	+	30.1745i	−1.21815	+	1.38305i
$477$		−	56.0123i		−	2.56463i
$478$	−26.7604	+	24.7033i	−1.22399	+	1.12990i
$479$	4.67977	+	8.10560i	0.213824	+	0.370355i	0.952908	−	0.303259i	$-0.0980747\pi$
$479$	4.67977	+	8.10560i	0.213824	+	0.370355i	−0.739084	+	0.673613i	$0.764741\pi$
$480$	14.9894	−	9.94181i	0.684167	−	0.453779i
$481$	−3.80022	−	2.19406i	−0.173275	−	0.100041i
$482$	−2.60484	−	0.810773i	−0.118647	−	0.0369297i
$483$	−21.6735	−	50.5547i	−0.986177	−	2.30032i
$484$	8.46949	+	5.83794i	0.384977	+	0.265361i
$485$	0.215769	+	0.124575i	0.00979758	+	0.00565664i
$486$	−7.80859	−	34.6187i	−0.354205	−	1.57033i
$487$	14.9682	−	8.64189i	0.678273	−	0.391601i	−0.120931	−	0.992661i	$-0.538588\pi$
$487$	14.9682	−	8.64189i	0.678273	−	0.391601i	0.799204	+	0.601060i	$0.205255\pi$
$488$	3.94993	+	27.6403i	0.178805	+	1.25122i
$489$		−	5.65976i		−	0.255943i
$490$	5.08056	−	8.49635i	0.229516	−	0.383826i
$491$	−28.4313			−1.28309			−0.641543	−	0.767087i	$-0.721705\pi$
$491$	−28.4313			−1.28309			−0.641543	+	0.767087i	$0.721705\pi$
$492$	39.6505	−	18.8460i	1.78758	−	0.849643i
$493$	8.90924	+	15.4313i	0.401252	+	0.694989i
$494$	0.845637	+	3.74905i	0.0380470	+	0.168678i
$495$	−8.60334	+	14.9014i	−0.386691	+	0.669769i
$496$	2.96419	+	7.78539i	0.133096	+	0.349575i
$497$	−9.68301	+	4.15124i	−0.434343	+	0.186209i
$498$	−0.386110	+	1.24049i	−0.0173020	+	0.0555877i
$499$	12.1835	−	21.1025i	0.545409	−	0.944676i	−0.453172	−	0.891423i	$-0.649708\pi$
$499$	12.1835	−	21.1025i	0.545409	−	0.944676i	0.998581	−	0.0532527i	$-0.0169589\pi$
$500$	−0.159637	+	1.99362i	−0.00713920	+	0.0891573i
$501$	−15.6725	+	9.04850i	−0.700194	+	0.404257i
$502$	13.5034	−	12.4654i	0.602687	−	0.556357i
$503$	22.0798			0.984489			0.492245	−	0.870457i	$-0.336177\pi$
$503$	22.0798			0.984489			0.492245	+	0.870457i	$0.336177\pi$
$504$	45.4442	−	27.6721i	2.02425	−	1.23261i
$505$	9.75511			0.434097
$506$	−16.4429	+	15.1788i	−0.730974	+	0.674782i
$507$	−29.2809	+	16.9054i	−1.30041	+	0.750794i
$508$	−18.7477	−	1.50121i	−0.831795	−	0.0666052i
$509$	−7.47946	+	12.9548i	−0.331521	+	0.574212i	−0.982810	−	0.184618i	$-0.940895\pi$
$509$	−7.47946	+	12.9548i	−0.331521	+	0.574212i	0.651289	+	0.758830i	$0.274229\pi$
$510$	10.1550	−	32.6260i	0.449673	−	1.44470i
$511$	6.68596	+	5.00074i	0.295770	+	0.221220i
$512$	9.34690	+	20.6067i	0.413078	+	0.910695i
$513$	−11.5431	+	19.9933i	−0.509641	+	0.882724i
$514$	−5.17803	−	22.9563i	−0.228393	−	1.01256i
$515$	−2.99947	−	5.19523i	−0.132172	−	0.228929i
$516$	−3.80391	−	8.00313i	−0.167458	−	0.352318i
$517$	−27.3854			−1.20441
$518$	8.64395	−	6.26095i	0.379793	−	0.275090i
$519$		−	60.2183i		−	2.64329i
$520$	0.615531	+	4.30728i	0.0269928	+	0.188887i
$521$	13.6812	−	7.89884i	0.599384	−	0.346055i	−0.169415	−	0.985545i	$-0.554188\pi$
$521$	13.6812	−	7.89884i	0.599384	−	0.346055i	0.768799	+	0.639490i	$0.220855\pi$
$522$	−5.18787	−	22.9999i	−0.227067	−	1.00668i
$523$	17.4282	+	10.0622i	0.762083	+	0.439989i	0.830043	−	0.557699i	$-0.188316\pi$
$523$	17.4282	+	10.0622i	0.762083	+	0.439989i	−0.0679602	+	0.997688i	$0.521649\pi$
$524$	−21.3570	+	30.9840i	−0.932985	+	1.35354i
$525$	−0.995275	+	8.35341i	−0.0434374	+	0.364573i
$526$	9.28474	+	2.88993i	0.404834	+	0.126007i
$527$	13.7056	+	7.91296i	0.597027	+	0.344694i
$528$	−23.8673	−	19.4354i	−1.03869	−	0.845817i
$529$	9.87568	+	17.1052i	0.429377	+	0.743703i
$530$	−8.18633	+	7.55702i	−0.355591	+	0.328256i
$531$		−	40.2358i		−	1.74608i
$532$	−9.16435	−	1.84331i	−0.397325	−	0.0799176i
$533$			10.6199i			0.459999i
$534$	42.4038	+	45.9349i	1.83499	+	1.98780i
$535$	−0.0626308	−	0.108480i	−0.00270776	−	0.00468999i
$536$	−16.4457	−	6.60019i	−0.710345	−	0.285085i
$537$	−8.21532	−	4.74312i	−0.354517	−	0.204681i
$538$	9.30021	−	29.8796i	0.400961	−	1.28820i
$539$	−16.4662	−	3.98027i	−0.709250	−	0.171442i
$540$	−14.8333	+	21.5196i	−0.638322	+	0.926056i
$541$	−14.0280	−	8.09904i	−0.603109	−	0.348205i	0.167155	−	0.985931i	$-0.446542\pi$
$541$	−14.0280	−	8.09904i	−0.603109	−	0.348205i	−0.770264	+	0.637726i	$0.779875\pi$
$542$	14.6108	−	3.29561i	0.627587	−	0.141559i
$543$	−41.2467	+	23.8138i	−1.77007	+	1.02195i
$544$	38.4880	+	19.1436i	1.65016	+	0.820775i
$545$		−	0.461636i		−	0.0197743i
$546$	1.88647	+	18.2040i	0.0807335	+	0.779061i
$547$	−29.9614			−1.28106			−0.640529	−	0.767934i	$-0.721285\pi$
$547$	−29.9614			−1.28106			−0.640529	+	0.767934i	$0.721285\pi$
$548$	−27.2929	+	12.9724i	−1.16589	+	0.554152i
$549$	−35.0936	−	60.7838i	−1.49776	−	2.59419i
$550$	3.33861	−	0.753058i	0.142359	−	0.0321105i
$551$	−2.07120	+	3.58743i	−0.0882362	+	0.152830i
$552$	−46.2530	+	36.3097i	−1.96866	+	1.54544i
$553$	−0.635244	+	5.33165i	−0.0270133	+	0.226725i
$554$	−25.7320	−	8.00924i	−1.09325	−	0.340280i
$555$	−4.53499	+	7.85484i	−0.192500	+	0.333419i
$556$	22.1677	+	1.77506i	0.940120	+	0.0752793i
$557$	−36.5898	+	21.1251i	−1.55036	+	0.895100i	−0.552246	+	0.833681i	$0.686229\pi$
$557$	−36.5898	+	21.1251i	−1.55036	+	0.895100i	−0.998112	+	0.0614182i	$0.980438\pi$
$558$	−14.2044	−	15.3873i	−0.601320	−	0.651395i
$559$	2.14354			0.0906621
$560$	−10.1755	−	2.90834i	−0.429995	−	0.122900i
$561$	−58.4730			−2.46873
$562$	−16.9099	−	18.3180i	−0.713299	−	0.772699i
$563$	19.4740	−	11.2433i	0.820731	−	0.473849i	−0.0299372	−	0.999552i	$-0.509531\pi$
$563$	19.4740	−	11.2433i	0.820731	−	0.473849i	0.850669	+	0.525702i	$0.176197\pi$
$564$	−71.7315	−	5.74384i	−3.02044	−	0.241859i
$565$	4.82525	−	8.35757i	0.203000	−	0.351606i
$566$	0.757237	+	0.235695i	0.0318291	+	0.00990698i
$567$	−32.0454	+	42.8445i	−1.34578	+	1.79930i
$568$	6.95460	+	8.85908i	0.291808	+	0.371719i
$569$	−15.7198	+	27.2275i	−0.659008	+	1.14144i	0.321864	+	0.946786i	$0.395690\pi$
$569$	−15.7198	+	27.2275i	−0.659008	+	1.14144i	−0.980873	+	0.194650i	$0.937643\pi$
$570$	7.74907	−	1.74788i	0.324573	−	0.0732107i
$571$	−4.27788	−	7.40950i	−0.179024	−	0.310078i	0.762523	−	0.646961i	$-0.223961\pi$
$571$	−4.27788	−	7.40950i	−0.179024	−	0.310078i	−0.941546	+	0.336883i	$0.890627\pi$
$572$	6.72473	−	3.19628i	0.281175	−	0.133643i
$573$	82.4291			3.44353
$574$	−23.5822	−	10.5407i	−0.984302	−	0.439962i
$575$		−	6.53845i		−	0.272672i
$576$	−41.0988	−	39.3221i	−1.71245	−	1.63842i
$577$	35.0221	−	20.2200i	1.45799	−	0.841771i	0.459078	−	0.888396i	$-0.348180\pi$
$577$	35.0221	−	20.2200i	1.45799	−	0.841771i	0.998912	+	0.0466251i	$0.0148466\pi$
$578$	56.2083	−	12.6784i	2.33796	−	0.527350i
$579$	−19.5530	−	11.2889i	−0.812595	−	0.469152i
$580$	−2.66156	+	3.86130i	−0.110515	+	0.160332i
$581$	0.702576	−	0.301204i	0.0291478	−	0.0124960i
$582$	0.332957	−	1.06972i	0.0138015	−	0.0443413i
$583$	16.5109	+	9.53258i	0.683812	+	0.394799i
$584$	3.32443	−	8.28349i	0.137566	−	0.342773i
$585$	−5.46874	−	9.47214i	−0.226105	−	0.391625i
$586$	−22.8320	−	24.7333i	−0.943180	−	1.02172i
$587$			46.5032i			1.91939i	0.281038	+	0.959697i	$0.409321\pi$
$587$			46.5032i			1.91939i	−0.281038	+	0.959697i	$0.590679\pi$
$588$	−42.2957	−	13.8793i	−1.74425	−	0.572372i
$589$			3.67918i			0.151598i
$590$	−5.88055	+	5.42849i	−0.242098	+	0.223487i
$591$	−0.976274	−	1.69096i	−0.0401586	−	0.0695567i
$592$	−8.84772	−	7.20479i	−0.363639	−	0.296115i
$593$	5.42655	+	3.13302i	0.222842	+	0.128658i	0.607265	−	0.794499i	$-0.292267\pi$
$593$	5.42655	+	3.13302i	0.222842	+	0.128658i	−0.384424	+	0.923157i	$0.625600\pi$
$594$	42.7052	+	13.2922i	1.75221	+	0.545387i
$595$	−18.4784	+	7.92193i	−0.757539	+	0.324767i
$596$	−12.6871	+	18.4060i	−0.519684	+	0.753940i
$597$	24.6253	+	14.2175i	1.00785	+	0.581882i
$598$	−3.12985	−	13.8759i	−0.127989	−	0.567428i
$599$	−35.7470	+	20.6385i	−1.46058	+	0.843268i	−0.999038	−	0.0438493i	$-0.986038\pi$
$599$	−35.7470	+	20.6385i	−1.46058	+	0.843268i	−0.461544	+	0.887117i	$0.652705\pi$
$600$	8.90289	−	1.27227i	0.363459	−	0.0519401i
$601$		−	18.4478i		−	0.752502i	−0.926518	−	0.376251i	$-0.877213\pi$
$601$		−	18.4478i		−	0.752502i	0.926518	−	0.376251i	$-0.122787\pi$
$602$	−2.12756	+	4.75987i	−0.0867129	+	0.193998i
$603$	44.5457			1.81404
$604$	−13.0695	−	27.4973i	−0.531791	−	1.11885i
$605$	2.57165	+	4.45422i	0.104552	+	0.181090i
$606$	−9.65182	−	42.7904i	−0.392078	−	1.73824i
$607$	3.76477	−	6.52077i	0.152807	−	0.264670i	−0.779451	−	0.626463i	$-0.784502\pi$
$607$	3.76477	−	6.52077i	0.152807	−	0.264670i	0.932258	+	0.361793i	$0.117835\pi$
$608$	0.619591	+	9.97409i	0.0251277	+	0.404503i
$609$	−11.8149	+	15.7965i	−0.478765	+	0.640106i
$610$	−4.14897	+	13.3298i	−0.167987	+	0.539707i
$611$	8.70382	−	15.0755i	0.352119	−	0.609888i
$612$	−107.712	−	8.62496i	−4.35401	−	0.348643i
$613$	15.3991	−	8.89067i	0.621963	−	0.359091i	−0.155670	−	0.987809i	$-0.549754\pi$
$613$	15.3991	−	8.89067i	0.621963	−	0.359091i	0.777633	+	0.628719i	$0.216420\pi$
$614$	−9.68648	+	8.94185i	−0.390914	+	0.360864i
$615$	21.9507			0.885138
$616$	0.422960	+	18.1052i	0.0170415	+	0.729478i
$617$	−25.4606			−1.02500			−0.512502	−	0.858686i	$-0.671281\pi$
$617$	−25.4606			−1.02500			−0.512502	+	0.858686i	$0.671281\pi$
$618$	−19.8210	+	18.2973i	−0.797317	+	0.736025i
$619$	1.54568	−	0.892398i	0.0621261	−	0.0358685i	−0.468615	−	0.883402i	$-0.655247\pi$
$619$	1.54568	−	0.892398i	0.0621261	−	0.0358685i	0.530741	+	0.847534i	$0.321914\pi$
$620$	−0.332468	+	4.15201i	−0.0133522	+	0.166749i
$621$	42.7231	−	73.9987i	1.71442	−	2.96946i
$622$	2.29699	−	7.37974i	0.0921009	−	0.295901i
$623$	4.35170	−	36.5242i	0.174347	−	1.46331i
$624$	18.2847	−	6.96168i	0.731974	−	0.278690i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	−7.18332	−	31.8466i	−0.287103	−	1.27285i
$627$	−6.79685	−	11.7725i	−0.271440	−	0.470148i
$628$	1.29275	−	0.614447i	0.0515863	−	0.0245191i
$629$	−21.6762			−0.864288
$630$	26.4615	−	2.74219i	1.05425	−	0.109251i
$631$		−	25.2033i		−	1.00333i	−0.865063	−	0.501663i	$-0.832722\pi$
$631$		−	25.2033i		−	1.00333i	0.865063	−	0.501663i	$-0.167278\pi$
$632$	5.68235	−	0.812037i	0.226032	−	0.0323011i
$633$	29.3968	−	16.9723i	1.16842	−	0.674587i
$634$	−9.41950	−	41.7605i	−0.374096	−	1.65852i
$635$	−8.14398	−	4.70193i	−0.323184	−	0.186590i
$636$	41.2482	+	28.4320i	1.63560	+	1.12740i
$637$	7.42451	−	7.79949i	0.294170	−	0.309027i
$638$	7.66267	+	2.38505i	0.303368	+	0.0944251i
$639$	−24.5189	−	14.1560i	−0.969952	−	0.560002i
$640$	−0.202090	+	11.3119i	−0.00798829	+	0.447142i
$641$	1.24626	+	2.15858i	0.0492242	+	0.0852587i	0.889588	−	0.456765i	$-0.150992\pi$
$641$	1.24626	+	2.15858i	0.0492242	+	0.0852587i	−0.840363	+	0.542023i	$0.817658\pi$
$642$	−0.413875	+	0.382059i	−0.0163343	+	0.0150787i
$643$			39.1121i			1.54243i	0.636575	+	0.771215i	$0.280350\pi$
$643$			39.1121i			1.54243i	−0.636575	+	0.771215i	$0.719650\pi$
$644$	33.9189	+	6.82242i	1.33659	+	0.268841i
$645$		−	4.43057i		−	0.174454i
$646$	12.8773	+	13.9496i	0.506650	+	0.548841i
$647$	−7.69474	−	13.3277i	−0.302512	−	0.523965i	0.674193	−	0.738556i	$-0.264492\pi$
$647$	−7.69474	−	13.3277i	−0.302512	−	0.523965i	−0.976704	+	0.214590i	$0.931158\pi$
$648$	53.0816	+	21.3034i	2.08524	+	0.836876i
$649$	11.8604	+	6.84761i	0.465562	+	0.268792i
$650$	−0.646548	+	2.07722i	−0.0253597	+	0.0814754i
$651$	−2.07281	+	17.3972i	−0.0812398	+	0.681851i
$652$	2.93115	+	2.02042i	0.114793	+	0.0791256i
$653$	−1.33623	−	0.771475i	−0.0522909	−	0.0301902i	0.473627	−	0.880726i	$-0.342945\pi$
$653$	−1.33623	−	0.771475i	−0.0522909	−	0.0301902i	−0.525918	+	0.850536i	$0.676278\pi$
$654$	−2.02495	+	0.456748i	−0.0791818	+	0.0178603i
$655$	−16.2949	+	9.40788i	−0.636696	+	0.367596i
$656$	−4.39420	+	27.2624i	−0.171565	+	1.06442i
$657$			22.4371i			0.875355i
$658$	24.8371	+	34.2905i	0.968252	+	1.33678i
$659$	23.4292			0.912670			0.456335	−	0.889808i	$-0.349162\pi$
$659$	23.4292			0.912670			0.456335	+	0.889808i	$0.349162\pi$
$660$	−6.60652	−	13.8996i	−0.257159	−	0.541042i
$661$	10.1419	+	17.5663i	0.394474	+	0.683249i	0.993034	−	0.117829i	$-0.0375935\pi$
$661$	10.1419	+	17.5663i	0.394474	+	0.683249i	−0.598560	+	0.801078i	$0.704260\pi$
$662$	0.723385	−	0.163167i	0.0281152	−	0.00634166i
$663$	18.5843	−	32.1889i	0.721754	−	1.25011i
$664$	−0.504609	−	0.642793i	−0.0195826	−	0.0249452i
$665$	−3.74284	−	2.79945i	−0.145141	−	0.108558i
$666$	27.3865	+	8.52421i	1.06120	+	0.330306i
$667$	7.66589	−	13.2777i	0.296825	−	0.514115i
$668$	0.908584	−	11.3468i	0.0351542	−	0.439020i
$669$	−3.86225	+	2.22987i	−0.149323	+	0.0862119i
$670$	−6.00997	−	6.51045i	−0.232185	−	0.251520i
$671$	23.8899			0.922259
$672$	−2.68952	+	47.5122i	−0.103750	+	1.83282i
$673$	−14.3296			−0.552364			−0.276182	−	0.961105i	$-0.589069\pi$
$673$	−14.3296			−0.552364			−0.276182	+	0.961105i	$0.589069\pi$
$674$	−3.27725	−	3.55016i	−0.126235	−	0.136747i
$675$	−11.3175	+	6.53414i	−0.435609	+	0.251499i
$676$	1.69751	−	21.1993i	0.0652890	−	0.815357i
$677$	−9.11144	+	15.7815i	−0.350181	+	0.606531i	−0.986281	−	0.165075i	$-0.947213\pi$
$677$	−9.11144	+	15.7815i	−0.350181	+	0.606531i	0.636100	+	0.771607i	$0.280547\pi$
$678$	−41.4344	−	12.8967i	−1.59128	−	0.495295i
$679$	−0.605857	+	0.259739i	−0.0232506	+	0.00996787i
$680$	13.2717	+	16.9060i	0.508945	+	0.648317i
$681$	6.39628	−	11.0787i	0.245106	−	0.424536i
$682$	6.95315	−	1.56835i	0.266250	−	0.0600554i
$683$	11.4579	+	19.8456i	0.438422	+	0.759370i	0.997568	−	0.0696995i	$-0.0222041\pi$
$683$	11.4579	+	19.8456i	0.438422	+	0.759370i	−0.559146	+	0.829069i	$0.688871\pi$
$684$	−10.7839	−	22.6885i	−0.412332	−	0.867515i
$685$	−15.1095			−0.577302
$686$	9.95013	+	24.2280i	0.379898	+	0.925029i
$687$			69.1124i			2.63680i
$688$	5.50269	+	0.886932i	0.209788	+	0.0338140i
$689$	−10.4952	+	6.05942i	−0.399836	+	0.230846i
$690$	−28.6807	+	6.46922i	−1.09186	+	0.246279i
$691$	14.4278	+	8.32990i	0.548860	+	0.316884i	0.748662	−	0.662952i	$-0.230697\pi$
$691$	14.4278	+	8.32990i	0.548860	+	0.316884i	−0.199802	+	0.979836i	$0.564030\pi$
$692$	31.1867	+	21.4967i	1.18554	+	0.817181i
$693$	−17.9380	−	41.8415i	−0.681410	−	1.58943i
$694$	−3.90326	+	12.5403i	−0.148166	+	0.476025i
$695$	9.62962	+	5.55967i	0.365272	+	0.210890i
$696$	19.5708	+	7.85442i	0.741831	+	0.297721i
$697$	26.2299	+	45.4314i	0.993526	+	1.72084i
$698$	17.9093	+	19.4006i	0.677875	+	0.734325i
$699$		−	36.1987i		−	1.36916i
$700$	−3.97088	−	3.49744i	−0.150085	−	0.132191i
$701$			3.87396i			0.146317i	0.997320	+	0.0731587i	$0.0233080\pi$
$701$			3.87396i			0.146317i	−0.997320	+	0.0731587i	$0.976692\pi$
$702$	−20.8901	+	19.2842i	−0.788447	+	0.727837i
$703$	−2.51962	−	4.36412i	−0.0950294	−	0.164596i
$704$	18.5856	−	5.42269i	0.700471	−	0.204375i
$705$	−31.1601	−	17.9903i	−1.17356	−	0.677553i
$706$	−18.2516	−	5.68093i	−0.686909	−	0.213804i
$707$	−15.4586	+	20.6680i	−0.581380	+	0.777301i
$708$	29.6302	+	20.4238i	1.11357	+	0.767573i
$709$	24.1848	+	13.9631i	0.908281	+	0.524396i	0.879878	−	0.475200i	$-0.157624\pi$
$709$	24.1848	+	13.9631i	0.908281	+	0.524396i	0.0284031	+	0.999597i	$0.490958\pi$
$710$	1.23909	+	5.49337i	0.0465021	+	0.206163i
$711$	−12.4961	+	7.21462i	−0.468640	+	0.270569i
$712$	−38.9267	+	5.56281i	−1.45884	+	0.208475i
$713$		−	13.6173i		−	0.509972i
$714$	53.0320	+	73.2167i	1.98467	+	2.74006i
$715$	3.72284			0.139226
$716$	5.38913	−	2.56147i	0.201401	−	0.0957265i
$717$	40.9415	+	70.9127i	1.52899	+	2.64828i
$718$	−8.20185	−	36.3621i	−0.306090	−	1.35702i
$719$	−8.27114	+	14.3260i	−0.308461	+	0.534271i	−0.978026	−	0.208483i	$-0.933147\pi$
$719$	−8.27114	+	14.3260i	−0.308461	+	0.534271i	0.669565	+	0.742754i	$0.266481\pi$
$720$	−10.1195	−	26.5788i	−0.377133	−	0.990532i
$721$	15.7602	+	1.87777i	0.586942	+	0.0699317i
$722$	6.67392	−	21.4419i	0.248378	−	0.797985i
$723$	−3.06684	+	5.31193i	−0.114057	+	0.197553i
$724$	2.39121	−	29.8625i	0.0888686	−	1.10983i
$725$	−2.03071	+	1.17243i	−0.0754188	+	0.0435430i
$726$	16.9939	−	15.6875i	0.630701	−	0.582217i
$727$	−6.76375			−0.250854			−0.125427	−	0.992103i	$-0.540030\pi$
$727$	−6.76375			−0.250854			−0.125427	+	0.992103i	$0.540030\pi$
$728$	−10.1012	−	5.52147i	−0.374375	−	0.204639i
$729$	−19.1232			−0.708268
$730$	3.27923	−	3.02715i	0.121370	−	0.112040i
$731$	9.16996	−	5.29428i	0.339163	−	0.195816i
$732$	62.5756	+	5.01069i	2.31286	+	0.185200i
$733$	−17.1394	+	29.6863i	−0.633059	+	1.09649i	0.353864	+	0.935297i	$0.384867\pi$
$733$	−17.1394	+	29.6863i	−0.633059	+	1.09649i	−0.986923	+	0.161193i	$0.948466\pi$
$734$	14.9473	−	48.0224i	0.551713	−	1.77254i
$735$	−16.1211	−	15.3460i	−0.594635	−	0.566047i
$736$	−2.29322	−	36.9159i	−0.0845291	−	1.36074i
$737$	−7.58110	+	13.1309i	−0.279253	+	0.483681i
$738$	−15.2737	−	67.7146i	−0.562233	−	2.49261i
$739$	−19.2212	−	33.2921i	−0.707063	−	1.22467i	−0.965942	−	0.258759i	$-0.916687\pi$
$739$	−19.2212	−	33.2921i	−0.707063	−	1.22467i	0.258879	−	0.965910i	$-0.416647\pi$
$740$	−2.44907	−	5.15266i	−0.0900296	−	0.189415i
$741$	8.64088			0.317431
$742$	−3.03837	−	29.3196i	−0.111542	−	1.07636i
$743$			30.1845i			1.10736i	0.832729	+	0.553681i	$0.186777\pi$
$743$			30.1845i			1.10736i	−0.832729	+	0.553681i	$0.813223\pi$
$744$	18.5416	−	2.64968i	0.679767	−	0.0971422i
$745$	−9.67998	+	5.58874i	−0.354647	+	0.204755i
$746$	7.42420	+	32.9145i	0.271819	+	1.20509i
$747$	1.77903	+	1.02712i	0.0650913	+	0.0375805i
$748$	20.8736	−	30.2828i	0.763216	−	1.10725i
$749$	0.329083	+	0.0392089i	0.0120244	+	0.00143266i
$750$	4.29350	+	1.33638i	0.156776	+	0.0487976i
$751$	26.8007	+	15.4734i	0.977972	+	0.564632i	0.901657	−	0.432451i	$-0.142351\pi$
$751$	26.8007	+	15.4734i	0.977972	+	0.564632i	0.0763147	+	0.997084i	$0.475685\pi$
$752$	28.5814	−	35.0988i	1.04225	−	1.27992i
$753$	−20.6592	−	35.7828i	−0.752864	−	1.30400i
$754$	−3.74835	+	3.46021i	−0.136507	+	0.126013i
$755$		−	15.2226i		−	0.554008i
$756$	−22.0876	−	65.5284i	−0.803317	−	2.38325i
$757$		−	32.7932i		−	1.19189i	−0.803025	−	0.595945i	$-0.796777\pi$
$757$		−	32.7932i		−	1.19189i	0.803025	−	0.595945i	$-0.203223\pi$
$758$	−24.8654	−	26.9361i	−0.903153	−	0.978363i
$759$	25.1563	+	43.5721i	0.913117	+	1.58157i
$760$	−1.86104	+	4.63715i	−0.0675070	+	0.168207i
$761$	−11.1966	−	6.46436i	−0.405876	−	0.234333i	0.283140	−	0.959079i	$-0.408624\pi$
$761$	−11.1966	−	6.46436i	−0.405876	−	0.234333i	−0.689016	+	0.724746i	$0.741957\pi$
$762$	−12.5671	+	40.3754i	−0.455258	+	1.46265i
$763$	0.978062	+	0.731538i	0.0354082	+	0.0264835i
$764$	−29.4255	+	42.6895i	−1.06458	+	1.54445i
$765$	−46.7900	−	27.0142i	−1.69170	−	0.976702i
$766$	−46.5024	+	10.4891i	−1.68020	+	0.378986i
$767$	−7.53912	+	4.35271i	−0.272222	+	0.157167i
$768$	49.8192	−	10.3057i	1.79770	−	0.371874i
$769$			1.25520i			0.0452635i	0.999744	+	0.0226318i	$0.00720453\pi$
$769$			1.25520i			0.0452635i	−0.999744	+	0.0226318i	$0.992795\pi$
$770$	−3.69509	+	8.26682i	−0.133162	+	0.297915i
$771$	−52.9102			−1.90551
$772$	12.8265	−	6.09645i	0.461635	−	0.219416i
$773$	−11.0046	−	19.0605i	−0.395808	−	0.685559i	0.597396	−	0.801946i	$-0.296202\pi$
$773$	−11.0046	−	19.0605i	−0.395808	−	0.685559i	−0.993204	+	0.116387i	$0.962869\pi$
$774$	−13.6676	+	3.08287i	−0.491273	+	0.110812i
$775$	−1.04132	+	1.80363i	−0.0374055	+	0.0647882i
$776$	0.435142	+	0.554304i	0.0156207	+	0.0198984i
$777$	−9.45550	−	22.0555i	−0.339214	−	0.791238i
$778$	45.2375	+	14.0804i	1.62184	+	0.504808i
$779$	−6.09787	+	10.5618i	−0.218479	+	0.378416i
$780$	9.75137	+	0.780832i	0.349155	+	0.0279583i
$781$	8.34560	−	4.81833i	0.298629	−	0.172413i
$782$	−47.6611	−	51.6301i	−1.70436	−	1.84629i
$783$	−30.6433			−1.09510
$784$	22.2867	−	16.9500i	0.795953	−	0.605359i
$785$	0.715672			0.0255434
$786$	57.3897	+	62.1689i	2.04702	+	2.21749i
$787$	29.8525	−	17.2354i	1.06413	−	0.614375i	0.137557	−	0.990494i	$-0.456075\pi$
$787$	29.8525	−	17.2354i	1.06413	−	0.614375i	0.926571	+	0.376119i	$0.122742\pi$
$788$	1.22424	+	0.0980303i	0.0436119	+	0.00349219i
$789$	10.9315	−	18.9339i	0.389172	−	0.674066i
$790$	2.74037	+	0.852955i	0.0974978	+	0.0303468i
$791$	10.0607	+	23.4671i	0.357717	+	0.834395i
$792$	−38.2812	+	30.0517i	−1.36026	+	1.06784i
$793$	−7.59285	+	13.1512i	−0.269630	+	0.467013i
$794$	−6.18156	+	1.39431i	−0.219375	+	0.0494823i
$795$	12.5245	+	21.6930i	0.444197	+	0.769372i
$796$	−16.1539	+	7.67797i	−0.572558	+	0.272138i
$797$	21.2444			0.752515			0.376258	−	0.926515i	$-0.377211\pi$
$797$	21.2444			0.752515			0.376258	+	0.926515i	$0.377211\pi$
$798$	−8.57646	+	19.1877i	−0.303604	+	0.679236i
$799$		−	85.9894i		−	3.04209i
$800$	−2.51925	+	5.06492i	−0.0890688	+	0.179072i
$801$	85.6037	−	49.4233i	3.02466	−	1.74629i
$802$	−42.8466	+	9.66449i	−1.51297	+	0.341265i
$803$	−6.61385	−	3.81851i	−0.233398	−	0.134752i
$804$	−22.6115	+	32.8040i	−0.797447	+	1.15691i
$805$	13.8529	+	10.3613i	0.488252	+	0.365186i
$806$	−1.34653	+	4.32612i	−0.0474296	+	0.152381i
$807$	−60.9321	−	35.1791i	−2.14491	−	1.23836i
$808$	25.6064	+	10.2767i	0.900829	+	0.361532i
$809$	−1.39597	−	2.41789i	−0.0490796	−	0.0850084i	0.840442	−	0.541902i	$-0.182295\pi$
$809$	−1.39597	−	2.41789i	−0.0490796	−	0.0850084i	−0.889522	+	0.456893i	$0.848962\pi$
$810$	19.3983	+	21.0137i	0.681588	+	0.738348i
$811$			46.1196i			1.61948i	0.586790	+	0.809739i	$0.300391\pi$
$811$			46.1196i			1.61948i	−0.586790	+	0.809739i	$0.699609\pi$
$812$	−3.96321	−	11.7579i	−0.139081	−	0.412621i
$813$		−	33.6752i		−	1.18104i
$814$	−7.17354	+	6.62208i	−0.251432	+	0.232104i
$815$	0.890005	+	1.54153i	0.0311755	+	0.0539975i
$816$	61.0266	−	74.9427i	2.13636	−	2.62352i
$817$	2.13181	+	1.23080i	0.0745828	+	0.0430604i
$818$	−35.3390	−	10.9995i	−1.23560	−	0.384588i
$819$	28.7346	+	3.42362i	1.00407	+	0.119631i
$820$	−7.83595	+	11.3681i	−0.273643	+	0.396992i
$821$	47.1623	+	27.2292i	1.64598	+	0.950305i	0.978649	+	0.205540i	$0.0658951\pi$
$821$	47.1623	+	27.2292i	1.64598	+	0.950305i	0.667327	+	0.744765i	$0.267438\pi$
$822$	14.9495	+	66.2771i	0.521423	+	2.31168i
$823$	11.9130	−	6.87795i	0.415259	−	0.239750i	−0.277788	−	0.960643i	$-0.589601\pi$
$823$	11.9130	−	6.87795i	0.415259	−	0.239750i	0.693047	+	0.720892i	$0.256268\pi$
$824$	−2.40036	−	16.7969i	−0.0836206	−	0.585148i
$825$		−	7.69489i		−	0.267902i
$826$	−2.18257	−	21.0614i	−0.0759415	−	0.732819i
$827$	19.8375			0.689816			0.344908	−	0.938636i	$-0.387910\pi$
$827$	19.8375			0.689816			0.344908	+	0.938636i	$0.387910\pi$
$828$	39.9131	+	83.9741i	1.38708	+	2.91830i
$829$	1.25335	+	2.17087i	0.0435308	+	0.0753975i	0.886970	−	0.461827i	$-0.152806\pi$
$829$	1.25335	+	2.17087i	0.0435308	+	0.0753975i	−0.843439	+	0.537225i	$0.819473\pi$
$830$	−0.0899050	−	0.398585i	−0.00312065	−	0.0138351i
$831$	−30.2959	+	52.4741i	−1.05095	+	1.82031i
$832$	−2.92185	+	11.9547i	−0.101297	+	0.414455i
$833$	12.4979	−	51.7035i	0.433028	−	1.79142i
$834$	14.8596	−	47.7408i	0.514546	−	1.65313i
$835$	2.84578	−	4.92903i	0.0984822	−	0.170576i
$836$	8.52322	+	0.682489i	0.294782	+	0.0236044i
$837$	−23.5703	+	13.6083i	−0.814708	+	0.470372i
$838$	−3.86081	+	3.56401i	−0.133369	+	0.123117i
$839$	27.1009			0.935628			0.467814	−	0.883827i	$-0.345042\pi$
$839$	27.1009			0.935628			0.467814	+	0.883827i	$0.345042\pi$
$840$	−11.4126	+	20.8786i	−0.393771	+	0.720378i
$841$	23.5016			0.810400
$842$	10.2806	−	9.49031i	0.354293	−	0.327058i
$843$	−48.5411	+	28.0252i	−1.67184	+	0.965240i
$844$	−1.70423	+	21.2832i	−0.0586620	+	0.732597i
$845$	5.31678	−	9.20893i	0.182903	−	0.316797i
$846$	−33.8155	+	108.642i	−1.16260	+	3.73519i
$847$	−13.5123	−	1.60994i	−0.464288	−	0.0553180i
$848$	−29.4495	+	11.2125i	−1.01130	+	0.385040i
$849$	0.891543	−	1.54420i	0.0305977	−	0.0529967i
$850$	2.36458	+	10.4831i	0.0811045	+	0.359569i
$851$	9.32558	+	16.1524i	0.319677	+	0.553697i
$852$	22.8705	−	10.8704i	0.783531	−	0.372414i
$853$	8.16785			0.279662			0.139831	−	0.990175i	$-0.455344\pi$
$853$	8.16785			0.279662			0.139831	+	0.990175i	$0.455344\pi$
$854$	−21.6669	−	29.9136i	−0.741426	−	1.02362i
$855$		−	12.5604i		−	0.429558i
$856$	−0.0501211	−	0.350730i	−0.00171310	−	0.0119877i
$857$	−13.4380	+	7.75845i	−0.459035	+	0.265024i	−0.711638	−	0.702546i	$-0.752046\pi$
$857$	−13.4380	+	7.75845i	−0.459035	+	0.265024i	0.252604	+	0.967570i	$0.418713\pi$
$858$	−3.68342	−	16.3301i	−0.125750	−	0.557501i
$859$	46.6347	+	26.9246i	1.59116	+	0.918654i	0.993109	+	0.117192i	$0.0373894\pi$
$859$	46.6347	+	26.9246i	1.59116	+	0.918654i	0.598046	+	0.801462i	$0.295944\pi$
$860$	2.29456	+	1.58162i	0.0782440	+	0.0539328i
$861$	−34.7845	+	46.5067i	−1.18545	+	1.58494i
$862$	34.1710	+	10.6359i	1.16387	+	0.362261i
$863$	−33.2448	−	19.1939i	−1.13167	−	0.653368i	−0.187313	−	0.982300i	$-0.559978\pi$
$863$	−33.2448	−	19.1939i	−1.13167	−	0.653368i	−0.944353	+	0.328932i	$0.893311\pi$
$864$	−61.6063	+	40.8609i	−2.09589	+	1.39012i
$865$	9.46941	+	16.4015i	0.321969	+	0.557667i
$866$	3.65407	−	3.37317i	0.124170	−	0.114625i
$867$		−	129.550i		−	4.39975i
$868$	−8.26995	−	7.28394i	−0.280701	−	0.247233i
$869$		−	4.91134i		−	0.166606i
$870$	7.15204	+	7.74763i	0.242477	+	0.262669i
$871$	−4.81896	−	8.34668i	−0.163284	−	0.282816i
$872$	0.486318	−	1.21176i	0.0164688	−	0.0410353i
$873$	−1.53412	−	0.885726i	−0.0519222	−	0.0299773i
$874$	4.85471	−	15.5971i	0.164213	−	0.527581i
$875$	−1.04250	−	2.43170i	−0.0352431	−	0.0822066i
$876$	−16.5230	−	11.3891i	−0.558260	−	0.384804i
$877$	15.9417	+	9.20394i	0.538313	+	0.310795i	0.744395	−	0.667740i	$-0.232738\pi$
$877$	15.9417	+	9.20394i	0.538313	+	0.310795i	−0.206082	+	0.978535i	$0.566071\pi$
$878$	12.5828	−	2.83819i	0.424650	−	0.0957841i
$879$	−65.5410	+	37.8401i	−2.21064	+	1.27632i
$880$	9.55691	+	1.54040i	0.322163	+	0.0519268i
$881$		−	21.5756i		−	0.726902i	−0.931613	−	0.363451i	$-0.881598\pi$
$881$		−	21.5756i		−	0.726902i	0.931613	−	0.363451i	$-0.118402\pi$
$882$	−36.1228	+	60.4091i	−1.21632	+	2.03408i
$883$	23.5384			0.792131			0.396065	−	0.918222i	$-0.370375\pi$
$883$	23.5384			0.792131			0.396065	+	0.918222i	$0.370375\pi$
$884$	10.0362	+	21.1155i	0.337555	+	0.710190i
$885$	8.99680	+	15.5829i	0.302424	+	0.523814i
$886$	−4.76522	+	1.07484i	−0.160091	+	0.0361101i
$887$	16.6515	−	28.8413i	0.559104	−	0.968397i	−0.438467	−	0.898747i	$-0.644479\pi$
$887$	16.6515	−	28.8413i	0.559104	−	0.968397i	0.997572	−	0.0696497i	$-0.0221881\pi$
$888$	−20.1788	+	15.8409i	−0.677157	+	0.531585i
$889$	22.8674	−	9.80356i	0.766948	−	0.328801i
$890$	−18.7727	−	5.84313i	−0.629263	−	0.195862i
$891$	24.4695	−	42.3824i	0.819759	−	1.41986i
$892$	0.223908	−	2.79625i	0.00749698	−	0.0936255i
$893$	17.3124	−	9.99533i	0.579338	−	0.334481i
$894$	34.0923	+	36.9313i	1.14022	+	1.23517i
$895$	2.98345			0.0997256
$896$	−23.6461	−	18.3537i	−0.789962	−	0.613156i
$897$	−31.9815			−1.06783
$898$	9.94231	+	10.7703i	0.331779	+	0.359408i
$899$	−4.22926	+	2.44176i	−0.141054	+	0.0814374i
$900$	1.13502	−	14.1746i	0.0378341	−	0.472488i
$901$	−29.9320	+	51.8438i	−0.997181	+	1.72717i
$902$	22.5598	+	7.02187i	0.751159	+	0.233803i
$903$	9.38700	+	7.02097i	0.312380	+	0.233643i
$904$	21.4703	−	16.8547i	0.714092	−	0.560580i
$905$	7.48951	−	12.9722i	0.248960	−	0.431211i
$906$	−66.7735	+	15.0614i	−2.21840	+	0.500383i
$907$	−25.9103	−	44.8780i	−0.860338	−	1.49015i	−0.871603	−	0.490213i	$-0.836919\pi$
$907$	−25.9103	−	44.8780i	−0.860338	−	1.49015i	0.0112647	−	0.999937i	$-0.496414\pi$
$908$	3.45424	+	7.26745i	0.114633	+	0.241179i
$909$	−69.3589			−2.30049
$910$	−3.37642	−	4.66153i	−0.111927	−	0.154528i
$911$			3.37980i			0.111978i	0.998431	+	0.0559889i	$0.0178312\pi$
$911$			3.37980i			0.111978i	−0.998431	+	0.0559889i	$0.982169\pi$
$912$	22.1820	+	3.57534i	0.734520	+	0.118391i
$913$	−0.605536	+	0.349606i	−0.0200403	+	0.0115703i
$914$	37.1283	−	8.37467i	1.22810	−	0.277009i
$915$	27.1828	+	15.6940i	0.898635	+	0.518827i
$916$	−35.7928	−	24.6717i	−1.18263	−	0.815175i
$917$	5.88965	−	49.4322i	0.194493	−	1.63240i
$918$	−41.7373	+	134.093i	−1.37754	+	4.42573i
$919$	16.6978	+	9.64048i	0.550810	+	0.318010i	0.749448	−	0.662063i	$-0.230319\pi$
$919$	16.6978	+	9.64048i	0.550810	+	0.318010i	−0.198639	+	0.980073i	$0.563652\pi$
$920$	6.88804	−	17.1629i	0.227092	−	0.565845i
$921$	14.8196	+	25.6683i	0.488322	+	0.845799i
$922$	8.81583	+	9.54997i	0.290334	+	0.314511i
$923$			6.12558i			0.201626i
$924$	39.9181	+	8.02908i	1.31321	+	0.264137i
$925$		−	2.85253i		−	0.0937908i
$926$	11.2797	−	10.4125i	0.370672	−	0.342178i
$927$	21.3262	+	36.9381i	0.700446	+	1.21321i
$928$	−11.0541	+	7.33175i	−0.362870	+	0.240676i
$929$	29.0690	+	16.7830i	0.953724	+	0.550633i	0.894236	−	0.447596i	$-0.147720\pi$
$929$	29.0690	+	16.7830i	0.953724	+	0.550633i	0.0594882	+	0.998229i	$0.481053\pi$
$930$	8.94184	+	2.78320i	0.293215	+	0.0912648i
$931$	11.8623	−	3.49373i	0.388771	−	0.114502i
$932$	18.7471	+	12.9222i	0.614081	+	0.423280i
$933$	−15.0492	−	8.68863i	−0.492687	−	0.284453i
$934$	9.33463	+	41.3842i	0.305439	+	1.35413i
$935$	15.9261	−	9.19496i	0.520840	−	0.300707i
$936$	−4.37643	−	30.6248i	−0.143048	−	1.00100i
$937$			21.4342i			0.700224i	0.936708	+	0.350112i	$0.113856\pi$
$937$			21.4342i			0.700224i	−0.936708	+	0.350112i	$0.886144\pi$
$938$	23.3174	−	2.41636i	0.761340	−	0.0788971i
$939$	−73.4006			−2.39534
$940$	20.4405	−	9.71544i	0.666697	−	0.316883i
$941$	−7.43223	−	12.8730i	−0.242284	−	0.419648i	0.719081	−	0.694927i	$-0.244563\pi$
$941$	−7.43223	−	12.8730i	−0.242284	−	0.419648i	−0.961364	+	0.275279i	$0.911230\pi$
$942$	−0.708095	−	3.13927i	−0.0230710	−	0.102283i
$943$	22.5693	−	39.0912i	0.734957	−	1.27298i
$944$	−21.1547	+	8.05439i	−0.688527	+	0.262148i
$945$	4.09059	−	34.3326i	0.133067	−	1.11684i
$946$	1.41731	−	4.55351i	0.0460806	−	0.148047i
$947$	21.9761	−	38.0637i	0.714127	−	1.23690i	−0.249168	−	0.968460i	$-0.580157\pi$
$947$	21.9761	−	38.0637i	0.714127	−	1.23690i	0.963295	−	0.268444i	$-0.0865095\pi$
$948$	1.03011	−	12.8644i	0.0334564	−	0.417818i
$949$	4.20412	−	2.42725i	0.136472	−	0.0787919i
$950$	−1.83574	+	1.69462i	−0.0595591	+	0.0549806i
$951$	−96.2503			−3.12113
$952$	−56.8497	+	1.32808i	−1.84251	+	0.0430434i
$953$	−24.5807			−0.796246			−0.398123	−	0.917332i	$-0.630338\pi$
$953$	−24.5807			−0.796246			−0.398123	+	0.917332i	$0.630338\pi$
$954$	58.2048	−	53.7304i	1.88445	−	1.73959i
$955$	−22.4510	+	12.9621i	−0.726497	+	0.419443i
$956$	−51.3405	−	4.11104i	−1.66047	−	0.132961i
$957$	9.02174	−	15.6261i	0.291631	−	0.505120i
$958$	−3.93376	+	12.6383i	−0.127094	+	0.408326i
$959$	23.9434	−	32.0122i	0.773173	−	1.03373i
$960$	24.7097	+	6.03930i	0.797501	+	0.194917i
$961$	13.3313	−	23.0905i	0.430042	−	0.744854i
$962$	−1.36546	−	6.05365i	−0.0440243	−	0.195178i
$963$	0.445305	+	0.771291i	0.0143498	+	0.0248545i
$964$	−1.65621	−	3.48455i	−0.0533430	−	0.112230i
$965$	7.10080			0.228583
$966$	31.7430	−	71.0170i	1.02132	−	2.28493i
$967$		−	9.58755i		−	0.308315i	−0.988046	−	0.154157i	$-0.950734\pi$
$967$		−	9.58755i		−	0.308315i	0.988046	−	0.154157i	$-0.0492663\pi$
$968$	2.05799	+	14.4011i	0.0661463	+	0.462869i
$969$	36.9653	−	21.3419i	1.18750	−	0.685601i
$970$	0.0775284	+	0.343715i	0.00248929	+	0.0110360i
$971$	−19.5510	−	11.2878i	−0.627421	−	0.362242i	0.152332	−	0.988329i	$-0.451322\pi$
$971$	−19.5510	−	11.2878i	−0.627421	−	0.362242i	−0.779753	+	0.626088i	$0.784655\pi$
$972$	28.4833	−	41.3226i	0.913602	−	1.32542i
$973$	−27.0389	+	11.5920i	−0.866828	+	0.371621i
$974$	23.3386	+	7.26427i	0.747816	+	0.232762i
$975$	4.23598	+	2.44564i	0.135660	+	0.0783233i
$976$	−24.9332	+	30.6188i	−0.798092	+	0.980084i
$977$	9.57609	+	16.5863i	0.306366	+	0.530642i	0.977565	−	0.210636i	$-0.0675535\pi$
$977$	9.57609	+	16.5863i	0.306366	+	0.530642i	−0.671198	+	0.741278i	$0.734220\pi$
$978$	5.88130	−	5.42919i	0.188063	−	0.173606i
$979$			33.6449i			1.07529i
$980$	13.7025	−	2.87079i	0.437710	−	0.0917040i
$981$			3.28223i			0.104794i
$982$	−27.2730	−	29.5442i	−0.870317	−	0.942792i
$983$	−14.3326	−	24.8248i	−0.457139	−	0.791787i	0.541670	−	0.840591i	$-0.317792\pi$
$983$	−14.3326	−	24.8248i	−0.457139	−	0.791787i	−0.998808	+	0.0488042i	$0.984459\pi$
$984$	57.6189	+	23.1244i	1.83682	+	0.737177i
$985$	0.531810	+	0.307041i	0.0169449	+	0.00978314i
$986$	−7.48900	+	24.0606i	−0.238498	+	0.766245i
$987$	87.4941	−	37.5099i	2.78497	−	1.19395i
$988$	−3.08461	+	4.47506i	−0.0981347	+	0.142370i
$989$	−7.89023	−	4.55543i	−0.250895	−	0.144854i
$990$	−23.7375	+	5.35425i	−0.754429	+	0.170169i
$991$	17.8817	−	10.3240i	0.568030	−	0.327952i	−0.188332	−	0.982105i	$-0.560308\pi$
$991$	17.8817	−	10.3240i	0.568030	−	0.327952i	0.756362	+	0.654153i	$0.226975\pi$
$992$	−5.24670	+	10.5484i	−0.166583	+	0.334913i
$993$		−	1.66727i		−	0.0529093i
$994$	−13.6023	−	6.07992i	−0.431438	−	0.192843i
$995$	−8.94285			−0.283507
$996$	−1.65943	+	0.788730i	−0.0525810	+	0.0249919i
$997$	9.92952	+	17.1984i	0.314471	+	0.544680i	0.979325	−	0.202294i	$-0.0648395\pi$
$997$	9.92952	+	17.1984i	0.314471	+	0.544680i	−0.664854	+	0.746973i	$0.731506\pi$
$998$	33.6156	−	7.58235i	1.06408	−	0.240015i
$999$	18.6389	−	32.2834i	0.589707	−	1.02140i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.f.131.9	yes	24
4.3	odd	2		1120.2.bz.e.271.1		24
7.3	odd	6		280.2.bj.e.171.2	yes	24
8.3	odd	2		280.2.bj.e.131.2	✓	24
8.5	even	2		1120.2.bz.f.271.1		24
28.3	even	6		1120.2.bz.f.591.1		24
56.3	even	6	inner	280.2.bj.f.171.9	yes	24
56.45	odd	6		1120.2.bz.e.591.1		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.2	✓	24	8.3	odd	2
280.2.bj.e.171.2	yes	24	7.3	odd	6
280.2.bj.f.131.9	yes	24	1.1	even	1	trivial
280.2.bj.f.171.9	yes	24	56.3	even	6	inner
1120.2.bz.e.271.1		24	4.3	odd	2
1120.2.bz.e.591.1		24	56.45	odd	6
1120.2.bz.f.271.1		24	8.5	even	2
1120.2.bz.f.591.1		24	28.3	even	6

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.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.959261 + 1.03914i) q^{2} +(2.75363 - 1.58981i) q^{3} +(-0.159637 + 1.99362i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(4.29350 + 1.33638i) q^{6} +(-1.04250 - 2.43170i) q^{7} +(-2.22479 + 1.74651i) q^{8} +(3.55500 - 6.15745i) q^{9} +O(q^{10})\)	\(q+(0.959261 + 1.03914i) q^{2} +(2.75363 - 1.58981i) q^{3} +(-0.159637 + 1.99362i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(4.29350 + 1.33638i) q^{6} +(-1.04250 - 2.43170i) q^{7} +(-2.22479 + 1.74651i) q^{8} +(3.55500 - 6.15745i) q^{9} +(-1.37955 + 0.311173i) q^{10} +(1.21003 + 2.09584i) q^{11} +(2.72990 + 5.74349i) q^{12} -1.53832 q^{13} +(1.52685 - 3.41595i) q^{14} +3.17962i q^{15} +(-3.94903 - 0.636512i) q^{16} +(-6.58087 + 3.79947i) q^{17} +(9.80864 - 2.21244i) q^{18} +(-1.52991 - 0.883293i) q^{19} +(-1.64671 - 1.13506i) q^{20} +(-6.73663 - 5.03864i) q^{21} +(-1.01714 + 3.26785i) q^{22} +(5.66247 + 3.26923i) q^{23} +(-3.34963 + 8.34626i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-1.47565 - 1.59854i) q^{26} -13.0683i q^{27} +(5.01431 - 1.69017i) q^{28} -2.34486i q^{29} +(-3.30408 + 3.05009i) q^{30} +(-1.04132 - 1.80363i) q^{31} +(-3.12672 - 4.71419i) q^{32} +(6.66397 + 3.84745i) q^{33} +(-10.2610 - 3.19379i) q^{34} +(2.62717 + 0.313017i) q^{35} +(11.7081 + 8.07028i) q^{36} +(2.47037 + 1.42627i) q^{37} +(-0.549713 - 2.43710i) q^{38} +(-4.23598 + 2.44564i) q^{39} +(-0.400131 - 2.79998i) q^{40} -6.90356i q^{41} +(-1.22632 - 11.8337i) q^{42} -1.39343 q^{43} +(-4.37147 + 2.07777i) q^{44} +(3.55500 + 6.15745i) q^{45} +(2.03459 + 9.02015i) q^{46} +(-5.65799 + 9.79993i) q^{47} +(-11.8861 + 4.52550i) q^{48} +(-4.82637 + 5.07012i) q^{49} +(0.420294 - 1.35032i) q^{50} +(-12.0809 + 20.9247i) q^{51} +(0.245574 - 3.06683i) q^{52} +(6.82251 - 3.93898i) q^{53} +(13.5798 - 12.5359i) q^{54} -2.42006 q^{55} +(6.56636 + 3.58928i) q^{56} -5.61708 q^{57} +(2.43665 - 2.24934i) q^{58} +(4.90087 - 2.82952i) q^{59} +(-6.33896 - 0.507586i) q^{60} +(4.93580 - 8.54905i) q^{61} +(0.875325 - 2.81223i) q^{62} +(-18.6792 - 2.22555i) q^{63} +(1.89937 - 7.77125i) q^{64} +(0.769162 - 1.33223i) q^{65} +(2.39444 + 10.6155i) q^{66} +(3.13260 + 5.42583i) q^{67} +(-6.52414 - 13.7263i) q^{68} +20.7898 q^{69} +(2.19487 + 3.03027i) q^{70} -3.98199i q^{71} +(2.84494 + 19.9079i) q^{72} +(-2.73292 + 1.57785i) q^{73} +(0.887631 + 3.93523i) q^{74} +(-2.75363 - 1.58981i) q^{75} +(2.00518 - 2.90905i) q^{76} +(3.83499 - 5.12736i) q^{77} +(-6.60478 - 2.05578i) q^{78} +(-1.75753 - 1.01471i) q^{79} +(2.52575 - 3.10171i) q^{80} +(-10.1111 - 17.5129i) q^{81} +(7.17379 - 6.62231i) q^{82} +0.288923i q^{83} +(11.1205 - 12.6259i) q^{84} -7.59894i q^{85} +(-1.33666 - 1.44797i) q^{86} +(-3.72789 - 6.45690i) q^{87} +(-6.35248 - 2.54946i) q^{88} +(12.0399 + 6.95124i) q^{89} +(-2.98829 + 9.60076i) q^{90} +(1.60371 + 3.74075i) q^{91} +(-7.42153 + 10.7669i) q^{92} +(-5.73485 - 3.31102i) q^{93} +(-15.6110 + 3.52122i) q^{94} +(1.52991 - 0.883293i) q^{95} +(-16.1045 - 8.01026i) q^{96} -0.249149i q^{97} +(-9.89833 - 0.151716i) q^{98} +17.2067 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

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