LMFDB - Embedded newform 280.2.w.a.43.15

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			43.15
Character	$\chi$	$=$	280.43
Dual form			280.2.w.a.267.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.460930 + 1.33699i) q^{2} +(-2.36821 - 2.36821i) q^{3} +(-1.57509 - 1.23252i) q^{4} +(-2.04939 - 0.894439i) q^{5} +(4.25785 - 2.07469i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(2.37387 - 1.53777i) q^{8} +8.21680i q^{9} +O(q^{10})$	\(q+(-0.460930 + 1.33699i) q^{2} +(-2.36821 - 2.36821i) q^{3} +(-1.57509 - 1.23252i) q^{4} +(-2.04939 - 0.894439i) q^{5} +(4.25785 - 2.07469i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(2.37387 - 1.53777i) q^{8} +8.21680i q^{9} +(2.14048 - 2.32774i) q^{10} +2.77379 q^{11} +(0.811278 + 6.64899i) q^{12} +(-2.93336 + 2.93336i) q^{13} +(1.27132 - 0.619469i) q^{14} +(2.73515 + 6.97158i) q^{15} +(0.961803 + 3.88265i) q^{16} +(-0.192441 + 0.192441i) q^{17} +(-10.9858 - 3.78737i) q^{18} -0.766401i q^{19} +(2.12555 + 3.93472i) q^{20} +3.34915i q^{21} +(-1.27852 + 3.70853i) q^{22} +(0.0995735 - 0.0995735i) q^{23} +(-9.26358 - 1.98004i) q^{24} +(3.39996 + 3.66610i) q^{25} +(-2.56980 - 5.27395i) q^{26} +(12.3545 - 12.3545i) q^{27} +(0.242234 + 1.98528i) q^{28} -2.61930 q^{29} +(-10.5817 + 0.443464i) q^{30} +7.63954i q^{31} +(-5.63438 - 0.503704i) q^{32} +(-6.56890 - 6.56890i) q^{33} +(-0.168590 - 0.345994i) q^{34} +(0.816671 + 2.08160i) q^{35} +(10.1273 - 12.9422i) q^{36} +(3.01630 + 3.01630i) q^{37} +(1.02467 + 0.353257i) q^{38} +13.8936 q^{39} +(-6.24042 + 1.02821i) q^{40} -0.589401 q^{41} +(-4.47778 - 1.54372i) q^{42} +(-2.45414 - 2.45414i) q^{43} +(-4.36896 - 3.41874i) q^{44} +(7.34942 - 16.8394i) q^{45} +(0.0872325 + 0.179025i) q^{46} +(-5.96518 - 5.96518i) q^{47} +(6.91716 - 11.4727i) q^{48} +1.00000i q^{49} +(-6.46868 + 2.85590i) q^{50} +0.911480 q^{51} +(8.23572 - 1.00488i) q^{52} +(-4.80079 + 4.80079i) q^{53} +(10.8233 + 22.2123i) q^{54} +(-5.68456 - 2.48098i) q^{55} +(-2.76595 - 0.591208i) q^{56} +(-1.81500 + 1.81500i) q^{57} +(1.20731 - 3.50198i) q^{58} +2.89501i q^{59} +(4.28449 - 14.3520i) q^{60} +12.8429i q^{61} +(-10.2140 - 3.52129i) q^{62} +(5.81016 - 5.81016i) q^{63} +(3.27050 - 7.30095i) q^{64} +(8.63530 - 3.38788i) q^{65} +(11.8104 - 5.75475i) q^{66} +(-8.97646 + 8.97646i) q^{67} +(0.540298 - 0.0659247i) q^{68} -0.471621 q^{69} +(-3.15950 + 0.132411i) q^{70} -7.52768i q^{71} +(12.6356 + 19.5056i) q^{72} +(8.49727 + 8.49727i) q^{73} +(-5.42307 + 2.64246i) q^{74} +(0.630272 - 16.7339i) q^{75} +(-0.944603 + 1.20715i) q^{76} +(-1.96136 - 1.96136i) q^{77} +(-6.40398 + 18.5756i) q^{78} -3.44679 q^{79} +(1.50168 - 8.81731i) q^{80} -33.8654 q^{81} +(0.271672 - 0.788023i) q^{82} +(7.26640 + 7.26640i) q^{83} +(4.12788 - 5.27520i) q^{84} +(0.566512 - 0.222259i) q^{85} +(4.41235 - 2.14998i) q^{86} +(6.20304 + 6.20304i) q^{87} +(6.58460 - 4.26546i) q^{88} -8.87850i q^{89} +(19.1265 + 17.5879i) q^{90} +4.14840 q^{91} +(-0.279563 + 0.0341110i) q^{92} +(18.0920 - 18.0920i) q^{93} +(10.7249 - 5.22586i) q^{94} +(-0.685499 + 1.57065i) q^{95} +(12.1505 + 14.5363i) q^{96} +(-0.118266 + 0.118266i) q^{97} +(-1.33699 - 0.460930i) q^{98} +22.7916i 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 $

$2$	−0.460930	+	1.33699i	−0.325926	+	0.945395i
$2$	−0.460930	+	1.33699i	−0.325926	+	0.945395i
$3$	−2.36821	−	2.36821i	−1.36728	−	1.36728i	−0.864289	−	0.502996i	$-0.832231\pi$
$3$	−2.36821	−	2.36821i	−1.36728	−	1.36728i	−0.502996	−	0.864289i	$-0.667769\pi$
$4$	−1.57509	−	1.23252i	−0.787544	−	0.616259i
$5$	−2.04939	−	0.894439i	−0.916513	−	0.400005i
$5$	−2.04939	−	0.894439i	−0.916513	−	0.400005i
$6$	4.25785	−	2.07469i	1.73826	−	0.846990i
$7$	−0.707107	−	0.707107i	−0.267261	−	0.267261i
$7$	−0.707107	−	0.707107i	−0.267261	−	0.267261i
$8$	2.37387	−	1.53777i	0.839289	−	0.543685i
$9$			8.21680i			2.73893i
$10$	2.14048	−	2.32774i	0.676879	−	0.736095i
$11$	2.77379			0.836328			0.418164	−	0.908372i	$-0.362674\pi$
$11$	2.77379			0.836328			0.418164	+	0.908372i	$0.362674\pi$
$12$	0.811278	+	6.64899i	0.234196	+	1.91940i
$13$	−2.93336	+	2.93336i	−0.813568	+	0.813568i	−0.985167	−	0.171599i	$-0.945107\pi$
$13$	−2.93336	+	2.93336i	−0.813568	+	0.813568i	0.171599	+	0.985167i	$0.445107\pi$
$14$	1.27132	−	0.619469i	0.339775	−	0.165560i
$15$	2.73515	+	6.97158i	0.706213	+	1.80005i
$16$	0.961803	+	3.88265i	0.240451	+	0.970661i
$17$	−0.192441	+	0.192441i	−0.0466738	+	0.0466738i	−0.730058	−	0.683385i	$-0.760507\pi$
$17$	−0.192441	+	0.192441i	−0.0466738	+	0.0466738i	0.683385	+	0.730058i	$0.260507\pi$
$18$	−10.9858	−	3.78737i	−2.58937	−	0.892691i
$19$		−	0.766401i		−	0.175825i	−0.996128	−	0.0879123i	$-0.971980\pi$
$19$		−	0.766401i		−	0.175825i	0.996128	−	0.0879123i	$-0.0280195\pi$
$20$	2.12555	+	3.93472i	0.475288	+	0.879830i
$21$			3.34915i			0.730844i
$22$	−1.27852	+	3.70853i	−0.272581	+	0.790660i
$23$	0.0995735	−	0.0995735i	0.0207625	−	0.0207625i	−0.696649	−	0.717412i	$-0.745327\pi$
$23$	0.0995735	−	0.0995735i	0.0207625	−	0.0207625i	0.717412	+	0.696649i	$0.245327\pi$
$24$	−9.26358	−	1.98004i	−1.89092	−	0.404175i
$25$	3.39996	+	3.66610i	0.679992	+	0.733220i
$26$	−2.56980	−	5.27395i	−0.503980	−	1.03431i
$27$	12.3545	−	12.3545i	2.37762	−	2.37762i
$28$	0.242234	+	1.98528i	0.0457779	+	0.375182i
$29$	−2.61930			−0.486392			−0.243196	−	0.969977i	$-0.578196\pi$
$29$	−2.61930			−0.486392			−0.243196	+	0.969977i	$0.578196\pi$
$30$	−10.5817	+	0.443464i	−1.93194	+	0.0809651i
$31$			7.63954i			1.37210i	0.727554	+	0.686051i	$0.240657\pi$
$31$			7.63954i			1.37210i	−0.727554	+	0.686051i	$0.759343\pi$
$32$	−5.63438	−	0.503704i	−0.996028	−	0.0890432i
$33$	−6.56890	−	6.56890i	−1.14350	−	1.14350i
$34$	−0.168590	−	0.345994i	−0.0289130	−	0.0593374i
$35$	0.816671	+	2.08160i	0.138043	+	0.351854i
$36$	10.1273	−	12.9422i	1.68789	−	2.15703i
$37$	3.01630	+	3.01630i	0.495877	+	0.495877i	0.910152	−	0.414275i	$-0.135965\pi$
$37$	3.01630	+	3.01630i	0.495877	+	0.495877i	−0.414275	+	0.910152i	$0.635965\pi$
$38$	1.02467	+	0.353257i	0.166224	+	0.0573059i
$39$	13.8936			2.22476
$40$	−6.24042	+	1.02821i	−0.986696	+	0.162575i
$41$	−0.589401			−0.0920489			−0.0460245	−	0.998940i	$-0.514655\pi$
$41$	−0.589401			−0.0920489			−0.0460245	+	0.998940i	$0.514655\pi$
$42$	−4.47778	−	1.54372i	−0.690937	−	0.238201i
$43$	−2.45414	−	2.45414i	−0.374253	−	0.374253i	0.494770	−	0.869024i	$-0.335252\pi$
$43$	−2.45414	−	2.45414i	−0.374253	−	0.374253i	−0.869024	+	0.494770i	$0.835252\pi$
$44$	−4.36896	−	3.41874i	−0.658645	−	0.515394i
$45$	7.34942	−	16.8394i	1.09559	−	2.51027i
$46$	0.0872325	+	0.179025i	0.0128617	+	0.0263958i
$47$	−5.96518	−	5.96518i	−0.870111	−	0.870111i	0.122373	−	0.992484i	$-0.460949\pi$
$47$	−5.96518	−	5.96518i	−0.870111	−	0.870111i	−0.992484	+	0.122373i	$0.960949\pi$
$48$	6.91716	−	11.4727i	0.998406	−	1.65593i
$49$			1.00000i			0.142857i
$50$	−6.46868	+	2.85590i	−0.914810	+	0.403885i
$51$	0.911480			0.127633
$52$	8.23572	−	1.00488i	1.14209	−	0.139352i
$53$	−4.80079	+	4.80079i	−0.659439	+	0.659439i	−0.955247	−	0.295808i	$-0.904411\pi$
$53$	−4.80079	+	4.80079i	−0.659439	+	0.659439i	0.295808	+	0.955247i	$0.404411\pi$
$54$	10.8233	+	22.2123i	1.47286	+	3.02272i
$55$	−5.68456	−	2.48098i	−0.766505	−	0.334535i
$56$	−2.76595	−	0.591208i	−0.369615	−	0.0790035i
$57$	−1.81500	+	1.81500i	−0.240402	+	0.240402i
$58$	1.20731	−	3.50198i	0.158528	−	0.459832i
$59$			2.89501i			0.376899i	0.982083	+	0.188449i	$0.0603461\pi$
$59$			2.89501i			0.376899i	−0.982083	+	0.188449i	$0.939654\pi$
$60$	4.28449	−	14.3520i	0.553125	−	1.85283i
$61$			12.8429i			1.64437i	0.569223	+	0.822183i	$0.307244\pi$
$61$			12.8429i			1.64437i	−0.569223	+	0.822183i	$0.692756\pi$
$62$	−10.2140	−	3.52129i	−1.29718	−	0.447204i
$63$	5.81016	−	5.81016i	0.732011	−	0.732011i
$64$	3.27050	−	7.30095i	0.408813	−	0.912618i
$65$	8.63530	−	3.38788i	1.07108	−	0.420214i
$66$	11.8104	−	5.75475i	1.45375	−	0.708361i
$67$	−8.97646	+	8.97646i	−1.09665	+	1.09665i	−0.101850	+	0.994800i	$0.532476\pi$
$67$	−8.97646	+	8.97646i	−1.09665	+	1.09665i	−0.994800	+	0.101850i	$0.967524\pi$
$68$	0.540298	−	0.0659247i	0.0655208	−	0.00799454i
$69$	−0.471621			−0.0567765
$70$	−3.15950	+	0.132411i	−0.377633	+	0.0158261i
$71$		−	7.52768i		−	0.893371i	−0.894691	−	0.446686i	$-0.852604\pi$
$71$		−	7.52768i		−	0.893371i	0.894691	−	0.446686i	$-0.147396\pi$
$72$	12.6356	+	19.5056i	1.48912	+	2.29876i
$73$	8.49727	+	8.49727i	0.994530	+	0.994530i	0.999985	−	0.00545522i	$-0.00173646\pi$
$73$	8.49727	+	8.49727i	0.994530	+	0.994530i	−0.00545522	+	0.999985i	$0.501736\pi$
$74$	−5.42307	+	2.64246i	−0.630419	+	0.307180i
$75$	0.630272	−	16.7339i	0.0727775	−	1.93226i
$76$	−0.944603	+	1.20715i	−0.108353	+	0.138470i
$77$	−1.96136	−	1.96136i	−0.223518	−	0.223518i
$78$	−6.40398	+	18.5756i	−0.725107	+	2.10328i
$79$	−3.44679			−0.387795			−0.193897	−	0.981022i	$-0.562113\pi$
$79$	−3.44679			−0.387795			−0.193897	+	0.981022i	$0.562113\pi$
$80$	1.50168	−	8.81731i	0.167893	−	0.985805i
$81$	−33.8654			−3.76283
$82$	0.271672	−	0.788023i	0.0300012	−	0.0870226i
$83$	7.26640	+	7.26640i	0.797591	+	0.797591i	0.982715	−	0.185124i	$-0.0592688\pi$
$83$	7.26640	+	7.26640i	0.797591	+	0.797591i	−0.185124	+	0.982715i	$0.559269\pi$
$84$	4.12788	−	5.27520i	0.450389	−	0.575572i
$85$	0.566512	−	0.222259i	0.0614469	−	0.0241074i
$86$	4.41235	−	2.14998i	0.475796	−	0.231838i
$87$	6.20304	+	6.20304i	0.665036	+	0.665036i
$88$	6.58460	−	4.26546i	0.701921	−	0.454699i
$89$		−	8.87850i		−	0.941119i	−0.882368	−	0.470559i	$-0.844052\pi$
$89$		−	8.87850i		−	0.941119i	0.882368	−	0.470559i	$-0.155948\pi$
$90$	19.1265	+	17.5879i	2.01611	+	1.85393i
$91$	4.14840			0.434870
$92$	−0.279563	+	0.0341110i	−0.0291465	+	0.00355631i
$93$	18.0920	−	18.0920i	1.87605	−	1.87605i
$94$	10.7249	−	5.22586i	1.10619	−	0.539006i
$95$	−0.685499	+	1.57065i	−0.0703307	+	0.161145i
$96$	12.1505	+	14.5363i	1.24011	+	1.48360i
$97$	−0.118266	+	0.118266i	−0.0120081	+	0.0120081i	−0.713085	−	0.701077i	$-0.752703\pi$
$97$	−0.118266	+	0.118266i	−0.0120081	+	0.0120081i	0.701077	+	0.713085i	$0.252703\pi$
$98$	−1.33699	−	0.460930i	−0.135056	−	0.0465609i
$99$			22.7916i			2.29065i
$100$	−0.836706	−	9.96493i	−0.0836706	−	0.996493i
$101$		−	3.57757i		−	0.355982i	−0.984032	−	0.177991i	$-0.943040\pi$
$101$		−	3.57757i		−	0.355982i	0.984032	−	0.177991i	$-0.0569598\pi$
$102$	−0.420128	+	1.21864i	−0.0415989	+	0.120663i
$103$	−10.3876	+	10.3876i	−1.02352	+	1.02352i	−0.0237990	+	0.999717i	$0.507576\pi$
$103$	−10.3876	+	10.3876i	−1.02352	+	1.02352i	−0.999717	+	0.0237990i	$0.992424\pi$
$104$	−2.45257	+	11.4743i	−0.240494	+	1.12514i
$105$	2.99561	−	6.86370i	0.292341	−	0.669828i
$106$	−4.20579	−	8.63144i	−0.408502	−	0.838359i
$107$	−3.58217	+	3.58217i	−0.346301	+	0.346301i	−0.858730	−	0.512429i	$-0.828746\pi$
$107$	−3.58217	+	3.58217i	−0.346301	+	0.346301i	0.512429	+	0.858730i	$0.328746\pi$
$108$	−34.6865	+	4.23228i	−3.33771	+	0.407251i
$109$	−4.59188			−0.439822			−0.219911	−	0.975520i	$-0.570577\pi$
$109$	−4.59188			−0.439822			−0.219911	+	0.975520i	$0.570577\pi$
$110$	5.93723	−	6.45664i	0.566092	−	0.615616i
$111$		−	14.2865i		−	1.35601i
$112$	2.06535	−	3.42554i	0.195157	−	0.323683i
$113$	−1.29596	−	1.29596i	−0.121913	−	0.121913i	0.643518	−	0.765431i	$-0.277474\pi$
$113$	−1.29596	−	1.29596i	−0.121913	−	0.121913i	−0.765431	+	0.643518i	$0.777474\pi$
$114$	−1.59005	−	3.26322i	−0.148922	−	0.305628i
$115$	−0.293127	+	0.115002i	−0.0273342	+	0.0107240i
$116$	4.12563	+	3.22833i	0.383055	+	0.299743i
$117$	−24.1028	−	24.1028i	−2.22831	−	2.22831i
$118$	−3.87061	−	1.33440i	−0.356318	−	0.122841i
$119$	0.272153			0.0249482
$120$	17.2136	+	12.3436i	1.57138	+	1.12681i
$121$	−3.30611			−0.300556
$122$	−17.1709	−	5.91968i	−1.55458	−	0.535943i
$123$	1.39582	+	1.39582i	0.125857	+	0.125857i
$124$	9.41586	−	12.0329i	0.845569	−	1.08059i
$125$	−3.68873	−	10.5543i	−0.329930	−	0.944005i
$126$	5.09005	+	10.4462i	0.453458	+	0.930621i
$127$	−1.83245	−	1.83245i	−0.162604	−	0.162604i	0.621115	−	0.783719i	$-0.286680\pi$
$127$	−1.83245	−	1.83245i	−0.162604	−	0.162604i	−0.783719	+	0.621115i	$0.786680\pi$
$128$	8.25383	+	7.73785i	0.729542	+	0.683936i
$129$			11.6238i			1.02342i
$130$	0.549293	+	13.1069i	0.0481762	+	1.14955i
$131$	−18.6781			−1.63191			−0.815957	−	0.578113i	$-0.803789\pi$
$131$	−18.6781			−1.63191			−0.815957	+	0.578113i	$0.803789\pi$
$132$	2.25031	+	18.4429i	0.195864	+	1.60525i
$133$	−0.541928	+	0.541928i	−0.0469911	+	0.0469911i
$134$	−7.86393	−	16.1390i	−0.679340	−	1.39419i
$135$	−36.3694	+	14.2687i	−3.13018	+	1.22806i
$136$	−0.160899	+	0.752760i	−0.0137970	+	0.0645487i
$137$	−0.265720	+	0.265720i	−0.0227020	+	0.0227020i	−0.718367	−	0.695665i	$-0.755110\pi$
$137$	−0.265720	+	0.265720i	−0.0227020	+	0.0227020i	0.695665	+	0.718367i	$0.255110\pi$
$138$	0.217384	−	0.630553i	0.0185050	−	0.0536763i
$139$			3.56302i			0.302212i	0.988518	+	0.151106i	$0.0482834\pi$
$139$			3.56302i			0.302212i	−0.988518	+	0.151106i	$0.951717\pi$
$140$	1.27928	−	4.28526i	0.108119	−	0.362171i
$141$			28.2535i			2.37938i
$142$	10.0644	+	3.46973i	0.844589	+	0.291173i
$143$	−8.13652	+	8.13652i	−0.680410	+	0.680410i
$144$	−31.9029	+	7.90295i	−2.65858	+	0.658579i
$145$	5.36795	+	2.34280i	0.445784	+	0.194559i
$146$	−15.2774	+	7.44412i	−1.26437	+	0.616080i
$147$	2.36821	−	2.36821i	0.195326	−	0.195326i
$148$	−1.03330	−	8.46859i	−0.0849365	−	0.696113i
$149$	5.14079			0.421150			0.210575	−	0.977578i	$-0.432466\pi$
$149$	5.14079			0.421150			0.210575	+	0.977578i	$0.432466\pi$
$150$	22.0825	+	8.55581i	1.80303	+	0.698579i
$151$		−	15.1155i		−	1.23008i	−0.788496	−	0.615040i	$-0.789140\pi$
$151$		−	15.1155i		−	1.23008i	0.788496	−	0.615040i	$-0.210860\pi$
$152$	−1.17855	−	1.81934i	−0.0955932	−	0.147568i
$153$	−1.58125	−	1.58125i	−0.127836	−	0.127836i
$154$	3.52637	−	1.71827i	0.284163	−	0.138462i
$155$	6.83310	−	15.6564i	0.548848	−	1.25755i
$156$	−21.8837	−	17.1241i	−1.75209	−	1.37103i
$157$	5.48389	+	5.48389i	0.437662	+	0.437662i	0.891225	−	0.453562i	$-0.149847\pi$
$157$	5.48389	+	5.48389i	0.437662	+	0.437662i	−0.453562	+	0.891225i	$0.649847\pi$
$158$	1.58873	−	4.60833i	0.126393	−	0.366619i
$159$	22.7385			1.80328
$160$	11.0965	+	6.07189i	0.877255	+	0.480025i
$161$	−0.140818			−0.0110980
$162$	15.6096	−	45.2778i	1.22640	−	3.55736i
$163$	−11.8659	−	11.8659i	−0.929409	−	0.929409i	0.0682587	−	0.997668i	$-0.478256\pi$
$163$	−11.8659	−	11.8659i	−0.929409	−	0.929409i	−0.997668	+	0.0682587i	$0.978256\pi$
$164$	0.928358	+	0.726446i	0.0724926	+	0.0567259i
$165$	7.58673	+	19.3377i	0.590626	+	1.50544i
$166$	−13.0644	+	6.36581i	−1.01399	+	0.494082i
$167$	14.1606	+	14.1606i	1.09578	+	1.09578i	0.994899	+	0.100878i	$0.0321651\pi$
$167$	14.1606	+	14.1606i	1.09578	+	1.09578i	0.100878	+	0.994899i	$0.467835\pi$
$168$	5.15023	+	7.95044i	0.397349	+	0.613390i
$169$		−	4.20922i		−	0.323786i
$170$	0.0360360	+	0.859868i	0.00276383	+	0.0659488i
$171$	6.29737			0.481572
$172$	0.840718	+	6.89027i	0.0641041	+	0.525378i
$173$	4.24802	−	4.24802i	0.322971	−	0.322971i	−0.526935	−	0.849906i	$-0.676659\pi$
$173$	4.24802	−	4.24802i	0.322971	−	0.322971i	0.849906	+	0.526935i	$0.176659\pi$
$174$	−11.1526	+	5.43424i	−0.845475	+	0.411969i
$175$	0.188189	−	4.99646i	0.0142257	−	0.377697i
$176$	2.66784	+	10.7696i	0.201096	+	0.811791i
$177$	6.85599	−	6.85599i	0.515328	−	0.515328i
$178$	11.8705	+	4.09236i	0.889729	+	0.306736i
$179$		−	3.77455i		−	0.282123i	−0.990001	−	0.141061i	$-0.954948\pi$
$179$		−	3.77455i		−	0.282123i	0.990001	−	0.141061i	$-0.0450515\pi$
$180$	−32.3308	+	17.4652i	−2.40980	+	1.30178i
$181$		−	0.111486i		−	0.00828666i	−0.999991	−	0.00414333i	$-0.998681\pi$
$181$		−	0.111486i		−	0.00828666i	0.999991	−	0.00414333i	$-0.00131887\pi$
$182$	−1.91212	+	5.54637i	−0.141736	+	0.411124i
$183$	30.4147	−	30.4147i	2.24832	−	2.24832i
$184$	0.0832529	−	0.389496i	0.00613748	−	0.0287140i
$185$	−3.48367	−	8.87946i	−0.256124	−	0.652831i
$186$	15.8497	+	32.5280i	1.16216	+	2.38507i
$187$	−0.533790	+	0.533790i	−0.0390346	+	0.0390346i
$188$	2.04350	+	16.7479i	0.149037	+	1.22146i
$189$	−17.4718			−1.27089
$190$	−1.78398	−	1.64047i	−0.129423	−	0.119012i
$191$			0.407627i			0.0294949i	0.999891	+	0.0147474i	$0.00469442\pi$
$191$			0.407627i			0.0294949i	−0.999891	+	0.0147474i	$0.995306\pi$
$192$	−25.0354	+	9.54492i	−1.80677	+	0.688845i
$193$	19.1869	+	19.1869i	1.38110	+	1.38110i	0.842668	+	0.538433i	$0.180984\pi$
$193$	19.1869	+	19.1869i	1.38110	+	1.38110i	0.538433	+	0.842668i	$0.319016\pi$
$194$	−0.103608	−	0.212633i	−0.00743864	−	0.0152662i
$195$	−28.4734	−	12.4270i	−2.03902	−	0.889915i
$196$	1.23252	−	1.57509i	0.0880369	−	0.112506i
$197$	10.7264	+	10.7264i	0.764226	+	0.764226i	0.977083	−	0.212857i	$-0.0682769\pi$
$197$	10.7264	+	10.7264i	0.764226	+	0.764226i	−0.212857	+	0.977083i	$0.568277\pi$
$198$	−30.4722	−	10.5053i	−2.16557	−	0.746582i
$199$	5.62728			0.398908			0.199454	−	0.979907i	$-0.436083\pi$
$199$	5.62728			0.398908			0.199454	+	0.979907i	$0.436083\pi$
$200$	13.7087	+	3.47447i	0.969351	+	0.245682i
$201$	42.5162			2.99886
$202$	4.78318	+	1.64901i	0.336544	+	0.116024i
$203$	1.85212	+	1.85212i	0.129994	+	0.129994i
$204$	−1.43566	−	1.12341i	−0.100516	−	0.0786548i
$205$	1.20791	+	0.527183i	0.0843640	+	0.0368200i
$206$	−9.10013	−	18.6760i	−0.634036	−	1.30122i
$207$	0.818176	+	0.818176i	0.0568672	+	0.0568672i
$208$	−14.2105	−	8.56789i	−0.985322	−	0.594076i
$209$		−	2.12583i		−	0.147047i
$210$	7.79593	+	7.16878i	0.537971	+	0.494693i
$211$	3.90689			0.268961			0.134481	−	0.990916i	$-0.457063\pi$
$211$	3.90689			0.268961			0.134481	+	0.990916i	$0.457063\pi$
$212$	13.4787	−	1.64461i	0.925722	−	0.112952i
$213$	−17.8271	+	17.8271i	−1.22149	+	1.22149i
$214$	−3.13820	−	6.44045i	−0.214523	−	0.440260i
$215$	2.83440	+	7.22457i	0.193305	+	0.492711i
$216$	10.3295	−	48.3262i	0.702833	−	3.28818i
$217$	5.40197	−	5.40197i	0.366710	−	0.366710i
$218$	2.11653	−	6.13930i	0.143350	−	0.415806i
$219$		−	40.2466i		−	2.71961i
$220$	5.89582	+	10.9141i	0.397496	+	0.735827i
$221$		−	1.12900i		−	0.0759446i
$222$	19.1009	+	6.58505i	1.28197	+	0.441960i
$223$	−1.73642	+	1.73642i	−0.116279	+	0.116279i	−0.762852	−	0.646573i	$-0.776202\pi$
$223$	−1.73642	+	1.73642i	−0.116279	+	0.116279i	0.646573	+	0.762852i	$0.276202\pi$
$224$	3.62794	+	4.34028i	0.242402	+	0.289997i
$225$	−30.1236	+	27.9368i	−2.00824	+	1.86245i
$226$	2.33003	−	1.13534i	0.154991	−	0.0755215i
$227$	−17.3218	+	17.3218i	−1.14969	+	1.14969i	−0.163075	+	0.986614i	$0.552141\pi$
$227$	−17.3218	+	17.3218i	−1.14969	+	1.14969i	−0.986614	+	0.163075i	$0.947859\pi$
$228$	5.09579	−	0.621765i	0.337477	−	0.0411774i
$229$	15.2255			1.00613			0.503066	−	0.864248i	$-0.332205\pi$
$229$	15.2255			1.00613			0.503066	+	0.864248i	$0.332205\pi$
$230$	−0.0186459	−	0.444916i	−0.00122947	−	0.0293369i
$231$			9.28982i			0.611225i
$232$	−6.21787	+	4.02789i	−0.408223	+	0.264444i
$233$	1.44462	+	1.44462i	0.0946403	+	0.0946403i	0.752842	−	0.658202i	$-0.228683\pi$
$233$	1.44462	+	1.44462i	0.0946403	+	0.0946403i	−0.658202	+	0.752842i	$0.728683\pi$
$234$	43.3350	−	21.1156i	2.83290	−	1.38037i
$235$	6.88946	+	17.5604i	0.449419	+	1.14552i
$236$	3.56815	−	4.55990i	0.232267	−	0.296824i
$237$	8.16272	+	8.16272i	0.530226	+	0.530226i
$238$	−0.125443	+	0.363866i	−0.00813128	+	0.0235859i
$239$	−19.9749			−1.29207			−0.646036	−	0.763307i	$-0.723574\pi$
$239$	−19.9749			−1.29207			−0.646036	+	0.763307i	$0.723574\pi$
$240$	−24.4375	+	17.3249i	−1.57743	+	1.11832i
$241$	−7.07405			−0.455680			−0.227840	−	0.973699i	$-0.573166\pi$
$241$	−7.07405			−0.455680			−0.227840	+	0.973699i	$0.573166\pi$
$242$	1.52389	−	4.42024i	0.0979591	−	0.284144i
$243$	43.1369	+	43.1369i	2.76724	+	2.76724i
$244$	15.8291	−	20.2287i	1.01335	−	1.29501i
$245$	0.894439	−	2.04939i	0.0571436	−	0.130930i
$246$	−2.50958	+	1.22283i	−0.160005	+	0.0779645i
$247$	2.24813	+	2.24813i	0.143045	+	0.143045i
$248$	11.7479	+	18.1353i	0.745991	+	1.15159i
$249$		−	34.4167i		−	2.18107i
$250$	15.8112	−	0.0670026i	0.999991	−	0.00423762i
$251$	4.72468			0.298219			0.149110	−	0.988821i	$-0.452359\pi$
$251$	4.72468			0.298219			0.149110	+	0.988821i	$0.452359\pi$
$252$	−16.3126	+	1.99039i	−1.02760	+	0.125383i
$253$	0.276196	−	0.276196i	0.0173643	−	0.0173643i
$254$	3.29460	−	1.60534i	0.206721	−	0.100728i
$255$	−1.86797	−	0.815263i	−0.116977	−	0.0510537i
$256$	−14.1499	+	7.46868i	−0.884367	+	0.466793i
$257$	−17.2724	+	17.2724i	−1.07742	+	1.07742i	−0.0806834	+	0.996740i	$0.525710\pi$
$257$	−17.2724	+	17.2724i	−1.07742	+	1.07742i	−0.996740	+	0.0806834i	$0.974290\pi$
$258$	−15.5410	−	5.35777i	−0.967538	−	0.333560i
$259$		−	4.26570i		−	0.265057i
$260$	−17.7770	−	5.30695i	−1.10248	−	0.329123i
$261$		−	21.5223i		−	1.33219i
$262$	8.60929	−	24.9725i	0.531884	−	1.54280i
$263$	14.5529	−	14.5529i	0.897370	−	0.897370i	−0.0978330	−	0.995203i	$-0.531191\pi$
$263$	14.5529	−	14.5529i	0.897370	−	0.897370i	0.995203	+	0.0978330i	$0.0311911\pi$
$264$	−25.6952	−	5.49222i	−1.58143	−	0.338023i
$265$	14.1327	−	5.54466i	0.868164	−	0.340606i
$266$	−0.474762	−	0.974342i	−0.0291095	−	0.0597408i
$267$	−21.0261	+	21.0261i	−1.28678	+	1.28678i
$268$	25.2024	−	3.07507i	1.53948	−	0.187840i
$269$	10.1413			0.618328			0.309164	−	0.951009i	$-0.399951\pi$
$269$	10.1413			0.618328			0.309164	+	0.951009i	$0.399951\pi$
$270$	−2.31346	−	55.2024i	−0.140793	−	3.35951i
$271$		−	22.1575i		−	1.34597i	−0.739656	−	0.672985i	$-0.765012\pi$
$271$		−	22.1575i		−	1.34597i	0.739656	−	0.672985i	$-0.234988\pi$
$272$	−0.932271	−	0.562090i	−0.0565272	−	0.0340817i
$273$	−9.82427	−	9.82427i	−0.594592	−	0.594592i
$274$	−0.232787	−	0.477743i	−0.0140632	−	0.0288615i
$275$	9.43076	+	10.1690i	0.568696	+	0.613212i
$276$	0.742845	+	0.581281i	0.0447140	+	0.0349890i
$277$	−20.7232	−	20.7232i	−1.24514	−	1.24514i	−0.957842	−	0.287294i	$-0.907244\pi$
$277$	−20.7232	−	20.7232i	−1.24514	−	1.24514i	−0.287294	−	0.957842i	$-0.592756\pi$
$278$	−4.76373	−	1.64230i	−0.285709	−	0.0984988i
$279$	−62.7726			−3.75810
$280$	5.13970	+	3.68558i	0.307156	+	0.220256i
$281$	−15.7958			−0.942301			−0.471151	−	0.882053i	$-0.656161\pi$
$281$	−15.7958			−0.942301			−0.471151	+	0.882053i	$0.656161\pi$
$282$	−37.7747	−	13.0229i	−2.24945	−	0.775502i
$283$	−2.24157	−	2.24157i	−0.133248	−	0.133248i	0.637337	−	0.770585i	$-0.280036\pi$
$283$	−2.24157	−	2.24157i	−0.133248	−	0.133248i	−0.770585	+	0.637337i	$0.780036\pi$
$284$	−9.27799	+	11.8568i	−0.550548	+	0.703569i
$285$	5.34303	−	2.09622i	0.316494	−	0.124170i
$286$	−7.12808	−	14.6288i	−0.421492	−	0.865019i
$287$	0.416769	+	0.416769i	0.0246011	+	0.0246011i
$288$	4.13884	−	46.2966i	0.243883	−	2.72805i
$289$			16.9259i			0.995643i
$290$	−5.60655	+	6.09704i	−0.329228	+	0.358030i
$291$	0.560157			0.0328370
$292$	−2.91091	−	23.8570i	−0.170348	−	1.39612i
$293$	12.1986	−	12.1986i	0.712647	−	0.712647i	−0.254441	−	0.967088i	$-0.581891\pi$
$293$	12.1986	−	12.1986i	0.712647	−	0.712647i	0.967088	+	0.254441i	$0.0818915\pi$
$294$	2.07469	+	4.25785i	0.120999	+	0.248323i
$295$	2.58941	−	5.93300i	0.150761	−	0.345433i
$296$	11.7987	+	2.52191i	0.685785	+	0.146583i
$297$	34.2686	−	34.2686i	1.98847	−	1.98847i
$298$	−2.36954	+	6.87319i	−0.137264	+	0.398153i
$299$			0.584170i			0.0337834i
$300$	−21.6175	+	25.5805i	−1.24809	+	1.47689i
$301$			3.47068i			0.200047i
$302$	20.2093	+	6.96717i	1.16291	+	0.400916i
$303$	−8.47243	+	8.47243i	−0.486729	+	0.486729i
$304$	2.97566	−	0.737127i	0.170666	−	0.0422771i
$305$	11.4872	−	26.3201i	0.657755	−	1.50708i
$306$	2.84296	−	1.38527i	0.162521	−	0.0791907i
$307$	−0.343927	+	0.343927i	−0.0196289	+	0.0196289i	−0.716853	−	0.697224i	$-0.754418\pi$
$307$	−0.343927	+	0.343927i	−0.0196289	+	0.0196289i	0.697224	+	0.716853i	$0.254418\pi$
$308$	0.671905	+	5.50673i	0.0382854	+	0.313775i
$309$	49.1997			2.79887
$310$	17.7828	+	16.3523i	1.01000	+	0.928746i
$311$		−	3.30448i		−	0.187380i	−0.995601	−	0.0936899i	$-0.970134\pi$
$311$		−	3.30448i		−	0.187380i	0.995601	−	0.0936899i	$-0.0298662\pi$
$312$	32.9816	−	21.3652i	1.86722	−	1.20957i
$313$	−17.0306	−	17.0306i	−0.962625	−	0.962625i	0.0367013	−	0.999326i	$-0.488315\pi$
$313$	−17.0306	−	17.0306i	−0.962625	−	0.962625i	−0.999326	+	0.0367013i	$0.988315\pi$
$314$	−9.85960	+	4.80422i	−0.556409	+	0.271118i
$315$	−17.1041	+	6.71042i	−0.963706	+	0.378089i
$316$	5.42900	+	4.24823i	0.305405	+	0.238982i
$317$	11.1597	+	11.1597i	0.626790	+	0.626790i	0.947259	−	0.320469i	$-0.103840\pi$
$317$	11.1597	+	11.1597i	0.626790	+	0.626790i	−0.320469	+	0.947259i	$0.603840\pi$
$318$	−10.4809	+	30.4012i	−0.587737	+	1.70481i
$319$	−7.26538			−0.406783
$320$	−13.2328	+	12.0372i	−0.739734	+	0.672899i
$321$	16.9666			0.946985
$322$	0.0649073	−	0.188273i	0.00361714	−	0.0104920i
$323$	0.147487	+	0.147487i	0.00820640	+	0.00820640i
$324$	53.3410	+	41.7397i	2.96339	+	2.31887i
$325$	−20.7273	−	0.780682i	−1.14974	−	0.0433044i
$326$	21.3339	−	10.3953i	1.18158	−	0.575740i
$327$	10.8745	+	10.8745i	0.601362	+	0.601362i
$328$	−1.39916	+	0.906365i	−0.0772557	+	0.0500456i
$329$			8.43604i			0.465094i
$330$	−29.3512	+	1.23007i	−1.61573	+	0.0677133i
$331$	−16.4926			−0.906514			−0.453257	−	0.891380i	$-0.649738\pi$
$331$	−16.4926			−0.906514			−0.453257	+	0.891380i	$0.649738\pi$
$332$	−2.48925	−	20.4012i	−0.136616	−	1.11966i
$333$	−24.7844	+	24.7844i	−1.35817	+	1.35817i
$334$	−25.4595	+	12.4055i	−1.39308	+	0.678799i
$335$	26.4251	−	10.3673i	1.44376	−	0.566428i
$336$	−13.0036	+	3.22122i	−0.709402	+	0.175732i
$337$	9.30478	−	9.30478i	0.506864	−	0.506864i	−0.406699	−	0.913562i	$-0.633320\pi$
$337$	9.30478	−	9.30478i	0.506864	−	0.506864i	0.913562	+	0.406699i	$0.133320\pi$
$338$	5.62768	+	1.94015i	0.306106	+	0.105530i
$339$			6.13819i			0.333381i
$340$	−1.16624	−	0.348159i	−0.0632485	−	0.0188816i
$341$			21.1904i			1.14753i
$342$	−2.90264	+	8.41952i	−0.156957	+	0.455276i
$343$	0.707107	−	0.707107i	0.0381802	−	0.0381802i
$344$	−9.59973	−	2.05190i	−0.517583	−	0.110631i
$345$	0.966534	+	0.421836i	0.0520364	+	0.0227109i
$346$	3.72153	+	7.63761i	0.200071	+	0.410600i
$347$	6.95471	−	6.95471i	0.373348	−	0.373348i	−0.495347	−	0.868695i	$-0.664959\pi$
$347$	6.95471	−	6.95471i	0.373348	−	0.373348i	0.868695	+	0.495347i	$0.164959\pi$
$348$	−2.12498	−	17.4157i	−0.113911	−	0.933579i
$349$	−23.0520			−1.23395			−0.616973	−	0.786985i	$-0.711641\pi$
$349$	−23.0520			−1.23395			−0.616973	+	0.786985i	$0.711641\pi$
$350$	6.59347	+	2.55462i	0.352436	+	0.136550i
$351$			72.4802i			3.86871i
$352$	−15.6286	−	1.39717i	−0.833006	−	0.0744693i
$353$	−20.7396	−	20.7396i	−1.10386	−	1.10386i	−0.993941	−	0.109915i	$-0.964942\pi$
$353$	−20.7396	−	20.7396i	−1.10386	−	1.10386i	−0.109915	−	0.993941i	$-0.535058\pi$
$354$	6.00627	+	12.3265i	0.319229	+	0.655147i
$355$	−6.73305	+	15.4271i	−0.357353	+	0.818786i
$356$	−10.9429	+	13.9844i	−0.579973	+	0.741172i
$357$	−0.644514	−	0.644514i	−0.0341113	−	0.0341113i
$358$	5.04653	+	1.73980i	0.266718	+	0.0919513i
$359$	−24.9082			−1.31460			−0.657302	−	0.753627i	$-0.728302\pi$
$359$	−24.9082			−1.31460			−0.657302	+	0.753627i	$0.728302\pi$
$360$	−8.44861	−	51.2763i	−0.445281	−	2.70250i
$361$	18.4126			0.969086
$362$	0.149055	+	0.0513870i	0.00783416	+	0.00270084i
$363$	7.82956	+	7.82956i	0.410945	+	0.410945i
$364$	−6.53409	−	5.11297i	−0.342480	−	0.267993i
$365$	−9.81389	−	25.0145i	−0.513682	−	1.30932i
$366$	26.6451	+	54.6831i	1.39276	+	2.85833i
$367$	8.70378	+	8.70378i	0.454333	+	0.454333i	0.896790	−	0.442457i	$-0.145893\pi$
$367$	8.70378	+	8.70378i	0.454333	+	0.454333i	−0.442457	+	0.896790i	$0.645893\pi$
$368$	0.482379	+	0.290839i	0.0251457	+	0.0151610i
$369$		−	4.84299i		−	0.252116i
$370$	13.4775	−	0.564825i	0.700661	−	0.0293638i
$371$	6.78934			0.352485
$372$	−50.7952	+	6.19779i	−2.63361	+	0.321340i
$373$	−13.6802	+	13.6802i	−0.708332	+	0.708332i	−0.966184	−	0.257852i	$-0.916985\pi$
$373$	−13.6802	+	13.6802i	−0.708332	+	0.708332i	0.257852	+	0.966184i	$0.416985\pi$
$374$	−0.467633	−	0.959712i	−0.0241807	−	0.0496255i
$375$	−16.2591	+	33.7304i	−0.839616	+	1.74183i
$376$	−23.3336	−	4.98745i	−1.20334	−	0.257208i
$377$	7.68335	−	7.68335i	0.395713	−	0.395713i
$378$	8.05329	−	23.3597i	0.414217	−	1.20149i
$379$			21.0906i			1.08335i	0.840588	+	0.541675i	$0.182210\pi$
$379$			21.0906i			1.08335i	−0.840588	+	0.541675i	$0.817790\pi$
$380$	3.01558	−	1.62902i	0.154696	−	0.0835672i
$381$			8.67924i			0.444651i
$382$	−0.544994	−	0.187887i	−0.0278843	−	0.00961316i
$383$	2.43822	−	2.43822i	0.124587	−	0.124587i	−0.642064	−	0.766651i	$-0.721922\pi$
$383$	2.43822	−	2.43822i	0.124587	−	0.124587i	0.766651	+	0.642064i	$0.221922\pi$
$384$	−1.22193	−	37.8716i	−0.0623563	−	1.93263i
$385$	2.26527	+	5.77391i	0.115449	+	0.294265i
$386$	−34.4965	+	16.8089i	−1.75582	+	0.855549i
$387$	20.1652	−	20.1652i	1.02506	−	1.02506i
$388$	0.332044	−	0.0405145i	0.0168570	−	0.00205681i
$389$	28.2466			1.43216			0.716081	−	0.698017i	$-0.245934\pi$
$389$	28.2466			1.43216			0.716081	+	0.698017i	$0.245934\pi$
$390$	29.7390	−	32.3406i	1.50589	−	1.63763i
$391$			0.0383241i			0.00193813i
$392$	1.53777	+	2.37387i	0.0776693	+	0.119898i
$393$	44.2336	+	44.2336i	2.23129	+	2.23129i
$394$	−19.2853	+	9.39700i	−0.971577	+	0.473414i
$395$	7.06381	+	3.08295i	0.355419	+	0.155120i
$396$	28.0911	−	35.8988i	1.41163	−	1.80398i
$397$	−20.2619	−	20.2619i	−1.01692	−	1.01692i	−0.999854	−	0.0170628i	$-0.994568\pi$
$397$	−20.2619	−	20.2619i	−1.01692	−	1.01692i	−0.0170628	−	0.999854i	$-0.505432\pi$
$398$	−2.59378	+	7.52363i	−0.130015	+	0.377125i
$399$	2.56679			0.128500
$400$	−10.9641	+	16.7269i	−0.548203	+	0.836345i
$401$	−20.1597			−1.00673			−0.503364	−	0.864074i	$-0.667905\pi$
$401$	−20.1597			−1.00673			−0.503364	+	0.864074i	$0.667905\pi$
$402$	−19.5970	+	56.8438i	−0.977409	+	2.83511i
$403$	−22.4095	−	22.4095i	−1.11630	−	1.11630i
$404$	−4.40942	+	5.63499i	−0.219377	+	0.280351i
$405$	69.4033	+	30.2905i	3.44868	+	1.50515i
$406$	−3.32997	+	1.62257i	−0.165264	+	0.0805270i
$407$	8.36658	+	8.36658i	0.414716	+	0.414716i
$408$	2.16373	−	1.40165i	0.107121	−	0.0693920i
$409$			19.3258i			0.955601i	0.878468	+	0.477801i	$0.158566\pi$
$409$			19.3258i			0.955601i	−0.878468	+	0.477801i	$0.841434\pi$
$410$	−1.26160	+	1.37197i	−0.0623060	+	0.0677567i
$411$	1.25856			0.0620801
$412$	29.1641	−	3.55847i	1.43681	−	0.175313i
$413$	2.04708	−	2.04708i	0.100730	−	0.100730i
$414$	−1.47102	+	0.716772i	−0.0722964	+	0.0352274i
$415$	−8.39230	−	21.3910i	−0.411962	−	1.05004i
$416$	18.0052	−	15.0501i	0.882779	−	0.737894i
$417$	8.43797	−	8.43797i	0.413209	−	0.413209i
$418$	2.84222	+	0.979859i	0.139017	+	0.0479265i
$419$		−	7.02849i		−	0.343364i	−0.985152	−	0.171682i	$-0.945080\pi$
$419$		−	7.02849i		−	0.343364i	0.985152	−	0.171682i	$-0.0549202\pi$
$420$	−13.1780	+	7.11879i	−0.643019	+	0.347361i
$421$		−	18.3154i		−	0.892638i	−0.894874	−	0.446319i	$-0.852735\pi$
$421$		−	18.3154i		−	0.892638i	0.894874	−	0.446319i	$-0.147265\pi$
$422$	−1.80080	+	5.22348i	−0.0876617	+	0.254275i
$423$	49.0147	−	49.0147i	2.38318	−	2.38318i
$424$	−4.01391	+	18.7790i	−0.194933	+	0.911988i
$425$	−1.35980	−	0.0512160i	−0.0659600	−	0.00248434i
$426$	−15.6176	−	32.0517i	−0.756676	−	1.55291i
$427$	9.08131	−	9.08131i	0.439475	−	0.439475i
$428$	10.0573	−	1.22715i	0.486139	−	0.0593163i
$429$	38.5379			1.86063
$430$	−10.9656	+	0.459556i	−0.528810	+	0.0221618i
$431$			0.989358i			0.0476557i	0.999716	+	0.0238279i	$0.00758536\pi$
$431$			0.989358i			0.0476557i	−0.999716	+	0.0238279i	$0.992415\pi$
$432$	59.8506	+	36.0854i	2.87956	+	1.73616i
$433$	−24.0510	−	24.0510i	−1.15582	−	1.15582i	−0.985366	−	0.170452i	$-0.945477\pi$
$433$	−24.0510	−	24.0510i	−1.15582	−	1.15582i	−0.170452	−	0.985366i	$-0.554523\pi$
$434$	4.73246	+	9.71231i	0.227165	+	0.466206i
$435$	−7.16418	−	18.2607i	−0.343496	−	0.875532i
$436$	7.23262	+	5.65957i	0.346379	+	0.271044i
$437$	−0.0763133	−	0.0763133i	−0.00365056	−	0.00365056i
$438$	53.8093	+	18.5508i	2.57111	+	0.886393i
$439$	19.2332			0.917950			0.458975	−	0.888449i	$-0.348217\pi$
$439$	19.2332			0.917950			0.458975	+	0.888449i	$0.348217\pi$
$440$	−17.3096	+	2.85204i	−0.825202	+	0.135966i
$441$	−8.21680			−0.391276
$442$	1.50946	+	0.520389i	0.0717977	+	0.0247524i
$443$	20.8406	+	20.8406i	0.990167	+	0.990167i	0.999952	−	0.00978520i	$-0.00311477\pi$
$443$	20.8406	+	20.8406i	0.990167	+	0.990167i	−0.00978520	+	0.999952i	$0.503115\pi$
$444$	−17.6083	+	22.5024i	−0.835653	+	1.06792i
$445$	−7.94127	+	18.1955i	−0.376452	+	0.862548i
$446$	−1.52121	−	3.12195i	−0.0720315	−	0.147829i
$447$	−12.1745	−	12.1745i	−0.575832	−	0.575832i
$448$	−7.47514	+	2.84995i	−0.353167	+	0.134648i
$449$		−	22.0125i		−	1.03883i	−0.854521	−	0.519417i	$-0.826149\pi$
$449$		−	22.0125i		−	1.03883i	0.854521	−	0.519417i	$-0.173851\pi$
$450$	−23.4664	−	53.1519i	−1.10622	−	2.50560i
$451$	−1.63487			−0.0769831
$452$	0.443957	+	3.63854i	0.0208820	+	0.171142i
$453$	−35.7966	+	35.7966i	−1.68187	+	1.68187i
$454$	−15.1750	−	31.1432i	−0.712196	−	1.46162i
$455$	−8.50167	−	3.71049i	−0.398564	−	0.173950i
$456$	−1.51751	+	7.09962i	−0.0710638	+	0.332470i
$457$	−1.15252	+	1.15252i	−0.0539127	+	0.0539127i	−0.733549	−	0.679636i	$-0.762138\pi$
$457$	−1.15252	+	1.15252i	−0.0539127	+	0.0539127i	0.679636	+	0.733549i	$0.262138\pi$
$458$	−7.01790	+	20.3564i	−0.327925	+	0.951192i
$459$			4.75501i			0.221945i
$460$	0.603443	+	0.180146i	0.0281357	+	0.00839933i
$461$		−	5.53572i		−	0.257824i	−0.991656	−	0.128912i	$-0.958851\pi$
$461$		−	5.53572i		−	0.257824i	0.991656	−	0.128912i	$-0.0411485\pi$
$462$	−12.4204	−	4.28195i	−0.577850	−	0.199215i
$463$	−26.0974	+	26.0974i	−1.21285	+	1.21285i	−0.242762	+	0.970086i	$0.578053\pi$
$463$	−26.0974	+	26.0974i	−1.21285	+	1.21285i	−0.970086	+	0.242762i	$0.921947\pi$
$464$	−2.51925	−	10.1698i	−0.116953	−	0.472122i
$465$	−53.2597	+	20.8953i	−2.46986	+	0.968996i
$466$	−2.59731	+	1.26558i	−0.120318	+	0.0586267i
$467$	10.0612	−	10.0612i	0.465577	−	0.465577i	−0.434901	−	0.900478i	$-0.643217\pi$
$467$	10.0612	−	10.0612i	0.465577	−	0.465577i	0.900478	+	0.434901i	$0.143217\pi$
$468$	8.25693	+	67.6713i	0.381677	+	3.12811i
$469$	12.6946			0.586184
$470$	−26.6537	+	1.11702i	−1.22944	+	0.0515244i
$471$		−	25.9740i		−	1.19682i
$472$	4.45188	+	6.87238i	0.204914	+	0.316327i
$473$	−6.80727	−	6.80727i	−0.312999	−	0.312999i
$474$	−14.6759	+	7.15104i	−0.674087	+	0.328458i
$475$	2.80970	−	2.60573i	0.128918	−	0.119559i
$476$	−0.428664	−	0.335433i	−0.0196478	−	0.0153745i
$477$	−39.4471	−	39.4471i	−1.80616	−	1.80616i
$478$	9.20704	−	26.7063i	0.421120	−	1.22152i
$479$	1.52386			0.0696269			0.0348135	−	0.999394i	$-0.488916\pi$
$479$	1.52386			0.0696269			0.0348135	+	0.999394i	$0.488916\pi$
$480$	−11.8993	−	40.6583i	−0.543125	−	1.85579i
$481$	−17.6958			−0.806859
$482$	3.26064	−	9.45794i	0.148518	−	0.430797i
$483$	0.333487	+	0.333487i	0.0151742	+	0.0151742i
$484$	5.20742	+	4.07484i	0.236701	+	0.185220i
$485$	0.348154	−	0.136591i	0.0158089	−	0.00620228i
$486$	−77.5568	+	37.7906i	−3.51805	+	1.71422i
$487$	10.2464	+	10.2464i	0.464307	+	0.464307i	0.900064	−	0.435757i	$-0.143519\pi$
$487$	10.2464	+	10.2464i	0.464307	+	0.464307i	−0.435757	+	0.900064i	$0.643519\pi$
$488$	19.7495	+	30.4874i	0.894018	+	1.38010i
$489$			56.2018i			2.54153i
$490$	2.32774	+	2.14048i	0.105156	+	0.0966970i
$491$	18.0817			0.816017			0.408008	−	0.912978i	$-0.366223\pi$
$491$	18.0817			0.816017			0.408008	+	0.912978i	$0.366223\pi$
$492$	−0.478168	−	3.91892i	−0.0215575	−	0.176678i
$493$	0.504061	−	0.504061i	0.0227018	−	0.0227018i
$494$	−4.04196	+	1.96950i	−0.181856	+	0.0886120i
$495$	20.3857	−	46.7089i	0.916270	−	2.09941i
$496$	−29.6616	+	7.34773i	−1.33185	+	0.329923i
$497$	−5.32287	+	5.32287i	−0.238763	+	0.238763i
$498$	46.0147	+	15.8637i	2.06197	+	0.710867i
$499$		−	13.2684i		−	0.593976i	−0.954881	−	0.296988i	$-0.904018\pi$
$499$		−	13.2684i		−	0.593976i	0.954881	−	0.296988i	$-0.0959821\pi$
$500$	−7.19829	+	21.1704i	−0.321917	+	0.946768i
$501$		−	67.0702i		−	2.99648i
$502$	−2.17775	+	6.31686i	−0.0971976	+	0.281935i
$503$	−20.2744	+	20.2744i	−0.903992	+	0.903992i	−0.995779	−	0.0917870i	$-0.970742\pi$
$503$	−20.2744	+	20.2744i	−0.903992	+	0.903992i	0.0917870	+	0.995779i	$0.470742\pi$
$504$	4.85784	−	22.7273i	0.216385	−	1.01235i
$505$	−3.19992	+	7.33183i	−0.142395	+	0.326262i
$506$	0.241964	+	0.496578i	0.0107566	+	0.0220756i
$507$	−9.96829	+	9.96829i	−0.442708	+	0.442708i
$508$	0.627744	+	5.14480i	0.0278516	+	0.228263i
$509$	−3.84236			−0.170310			−0.0851549	−	0.996368i	$-0.527139\pi$
$509$	−3.84236			−0.170310			−0.0851549	+	0.996368i	$0.527139\pi$
$510$	1.95100	−	2.12168i	0.0863919	−	0.0939498i
$511$		−	12.0170i		−	0.531599i
$512$	−3.46346	−	22.3608i	−0.153065	−	0.988216i
$513$	−9.46848	−	9.46848i	−0.418043	−	0.418043i
$514$	−15.1317	−	31.0544i	−0.667430	−	1.36975i
$515$	30.5791	−	11.9971i	1.34748	−	0.528654i
$516$	14.3266	−	18.3086i	0.630692	−	0.805989i
$517$	−16.5461	−	16.5461i	−0.727698	−	0.727698i
$518$	5.70320	+	1.96619i	0.250584	+	0.0863892i
$519$	−20.1204			−0.883187
$520$	15.2893	−	21.3215i	0.670479	−	0.935010i
$521$	−20.4984			−0.898049			−0.449025	−	0.893519i	$-0.648228\pi$
$521$	−20.4984			−0.898049			−0.449025	+	0.893519i	$0.648228\pi$
$522$	28.7751	+	9.92025i	1.25945	+	0.434198i
$523$	−7.29622	−	7.29622i	−0.319041	−	0.319041i	0.529358	−	0.848399i	$-0.322433\pi$
$523$	−7.29622	−	7.29622i	−0.319041	−	0.319041i	−0.848399	+	0.529358i	$0.822433\pi$
$524$	29.4197	+	23.0211i	1.28520	+	1.00568i
$525$	−12.2783	+	11.3870i	−0.535869	+	0.496968i
$526$	12.7492	+	26.1649i	0.555893	+	1.14085i
$527$	−1.47016	−	1.47016i	−0.0640412	−	0.0640412i
$528$	19.1867	−	31.8227i	0.834994	−	1.38490i
$529$			22.9802i			0.999138i
$530$	0.898983	+	21.4510i	0.0390493	+	0.931770i
$531$	−23.7878			−1.03230
$532$	1.52152	−	0.185648i	0.0659662	−	0.00804888i
$533$	1.72893	−	1.72893i	0.0748881	−	0.0748881i
$534$	−18.4202	−	37.8033i	−0.797118	−	1.63591i
$535$	10.5453	−	4.13721i	0.455912	−	0.178867i
$536$	−7.50517	+	35.1127i	−0.324174	+	1.51664i
$537$	−8.93891	+	8.93891i	−0.385742	+	0.385742i
$538$	−4.67444	+	13.5589i	−0.201529	+	0.584564i
$539$			2.77379i			0.119475i
$540$	74.8714	+	22.3513i	3.22195	+	0.961848i
$541$			41.1800i			1.77046i	0.465149	+	0.885232i	$0.346001\pi$
$541$			41.1800i			1.77046i	−0.465149	+	0.885232i	$0.653999\pi$
$542$	29.6243	+	10.2130i	1.27247	+	0.438687i
$543$	−0.264021	+	0.264021i	−0.0113302	+	0.0113302i
$544$	1.18122	−	0.987353i	0.0506444	−	0.0423324i
$545$	9.41053	+	4.10716i	0.403103	+	0.175931i
$546$	17.6632	−	8.60666i	0.755917	−	0.368331i
$547$	4.49246	−	4.49246i	0.192084	−	0.192084i	−0.604512	−	0.796596i	$-0.706632\pi$
$547$	4.49246	−	4.49246i	0.192084	−	0.192084i	0.796596	+	0.604512i	$0.206632\pi$
$548$	0.746036	−	0.0910278i	0.0318691	−	0.00388851i
$549$	−105.528			−4.50381
$550$	−17.9427	+	7.92166i	−0.765081	+	0.337781i
$551$			2.00743i			0.0855196i
$552$	−1.11957	+	0.725247i	−0.0476519	+	0.0308686i
$553$	2.43725	+	2.43725i	0.103642	+	0.103642i
$554$	37.2587	−	18.1548i	1.58297	−	0.771323i
$555$	−12.7784	+	29.2784i	−0.542411	+	1.24280i
$556$	4.39149	−	5.61207i	0.186241	−	0.238005i
$557$	−9.13434	−	9.13434i	−0.387035	−	0.387035i	0.486594	−	0.873628i	$-0.338239\pi$
$557$	−9.13434	−	9.13434i	−0.387035	−	0.387035i	−0.873628	+	0.486594i	$0.838239\pi$
$558$	28.9337	−	83.9264i	1.22486	−	3.55289i
$559$	14.3978			0.608961
$560$	−7.29663	+	5.17293i	−0.308339	+	0.218596i
$561$	2.52825			0.106743
$562$	7.28077	−	21.1189i	0.307121	−	0.890847i
$563$	−21.2477	−	21.2477i	−0.895482	−	0.895482i	0.0995503	−	0.995033i	$-0.468260\pi$
$563$	−21.2477	−	21.2477i	−0.895482	−	0.895482i	−0.995033	+	0.0995503i	$0.968260\pi$
$564$	34.8230	−	44.5018i	1.46631	−	1.87386i
$565$	1.49676	+	3.81507i	0.0629692	+	0.160501i
$566$	4.03017	−	1.96375i	0.169401	−	0.0825427i
$567$	23.9465	+	23.9465i	1.00566	+	1.00566i
$568$	−11.5759	−	17.8697i	−0.485713	−	0.749797i
$569$			25.1171i			1.05296i	0.850187	+	0.526481i	$0.176489\pi$
$569$			25.1171i			1.05296i	−0.850187	+	0.526481i	$0.823511\pi$
$570$	0.339871	+	8.10979i	0.0142356	+	0.339682i
$571$	0.768255			0.0321505			0.0160752	−	0.999871i	$-0.494883\pi$
$571$	0.768255			0.0321505			0.0160752	+	0.999871i	$0.494883\pi$
$572$	22.8441	−	2.78733i	0.955161	−	0.116544i
$573$	0.965345	−	0.965345i	0.0403279	−	0.0403279i
$574$	−0.749318	+	0.365115i	−0.0312759	+	0.0152396i
$575$	0.703592	+	0.0265004i	0.0293418	+	0.00110514i
$576$	59.9904	+	26.8731i	2.49960	+	1.11971i
$577$	9.23973	−	9.23973i	0.384655	−	0.384655i	−0.488121	−	0.872776i	$-0.662318\pi$
$577$	9.23973	−	9.23973i	0.384655	−	0.384655i	0.872776	+	0.488121i	$0.162318\pi$
$578$	−22.6298	−	7.80166i	−0.941276	−	0.324506i
$579$		−	90.8770i		−	3.77672i
$580$	−5.56745	−	10.3062i	−0.231176	−	0.427942i
$581$		−	10.2762i		−	0.426330i
$582$	−0.258193	+	0.748924i	−0.0107024	+	0.0310439i
$583$	−13.3164	+	13.3164i	−0.551507	+	0.551507i
$584$	33.2383	+	7.10452i	1.37541	+	0.293987i
$585$	27.8375	+	70.9545i	1.15094	+	2.93361i
$586$	10.6867	+	21.9320i	0.441463	+	0.906004i
$587$	−9.84701	+	9.84701i	−0.406430	+	0.406430i	−0.880492	−	0.474062i	$-0.842787\pi$
$587$	−9.84701	+	9.84701i	−0.406430	+	0.406430i	0.474062	+	0.880492i	$0.342787\pi$
$588$	−6.64899	+	0.811278i	−0.274200	+	0.0334565i
$589$	5.85495			0.241249
$590$	6.73883	+	6.19671i	0.277433	+	0.255115i
$591$		−	50.8048i		−	2.08983i
$592$	−8.81014	+	14.6123i	−0.362095	+	0.600563i
$593$	−1.44719	−	1.44719i	−0.0594290	−	0.0594290i	0.676768	−	0.736197i	$-0.263380\pi$
$593$	−1.44719	−	1.44719i	−0.0594290	−	0.0594290i	−0.736197	+	0.676768i	$0.763380\pi$
$594$	30.0214	+	61.6123i	1.23179	+	2.52798i
$595$	−0.557746	−	0.243424i	−0.0228653	−	0.00997941i
$596$	−8.09720	−	6.33611i	−0.331674	−	0.259537i
$597$	−13.3266	−	13.3266i	−0.545420	−	0.545420i
$598$	−0.781030	−	0.269261i	−0.0319387	−	0.0110109i
$599$	−9.71538			−0.396960			−0.198480	−	0.980105i	$-0.563600\pi$
$599$	−9.71538			−0.396960			−0.198480	+	0.980105i	$0.563600\pi$
$600$	−24.2367	−	40.6932i	−0.989461	−	1.66129i
$601$	−1.59700			−0.0651429			−0.0325714	−	0.999469i	$-0.510370\pi$
$601$	−1.59700			−0.0651429			−0.0325714	+	0.999469i	$0.510370\pi$
$602$	−4.64027	−	1.59974i	−0.189123	−	0.0652006i
$603$	−73.7578	−	73.7578i	−3.00365	−	3.00365i
$604$	−18.6301	+	23.8082i	−0.758048	+	0.968742i
$605$	6.77550	+	2.95712i	0.275463	+	0.120224i
$606$	−7.42237	−	15.2328i	−0.301513	−	0.618789i
$607$	−10.2525	−	10.2525i	−0.416135	−	0.416135i	0.467734	−	0.883869i	$-0.345070\pi$
$607$	−10.2525	−	10.2525i	−0.416135	−	0.416135i	−0.883869	+	0.467734i	$0.845070\pi$
$608$	−0.386040	+	4.31820i	−0.0156560	+	0.175126i
$609$		−	8.77243i		−	0.355477i
$610$	29.8949	+	27.4900i	1.21041	+	1.11304i
$611$	34.9960			1.41579
$612$	0.541690	+	4.43952i	0.0218965	+	0.179457i
$613$	27.6624	−	27.6624i	1.11727	−	1.11727i	0.125133	−	0.992140i	$-0.460064\pi$
$613$	27.6624	−	27.6624i	1.11727	−	1.11727i	0.992140	−	0.125133i	$-0.0399356\pi$
$614$	−0.301301	−	0.618353i	−0.0121595	−	0.0249547i
$615$	−1.61210	−	4.10906i	−0.0650062	−	0.165693i
$616$	−7.67215	−	1.63988i	−0.309120	−	0.0660728i
$617$	3.76803	−	3.76803i	0.151695	−	0.151695i	−0.627180	−	0.778875i	$-0.715791\pi$
$617$	3.76803	−	3.76803i	0.151695	−	0.151695i	0.778875	+	0.627180i	$0.215791\pi$
$618$	−22.6776	+	65.7796i	−0.912227	+	2.64604i
$619$			23.9623i			0.963128i	0.876411	+	0.481564i	$0.159931\pi$
$619$			23.9623i			0.963128i	−0.876411	+	0.481564i	$0.840069\pi$
$620$	−30.0595	+	16.2382i	−1.20722	+	0.652143i
$621$		−	2.46035i		−	0.0987306i
$622$	4.41806	+	1.52313i	0.177148	+	0.0610721i
$623$	−6.27805	+	6.27805i	−0.251525	+	0.251525i
$624$	13.3629	+	53.9440i	0.534945	+	2.15949i
$625$	−1.88055	+	24.9292i	−0.0752221	+	0.997167i
$626$	30.6196	−	14.9198i	1.22381	−	0.596316i
$627$	−5.03441	+	5.03441i	−0.201055	+	0.201055i
$628$	−1.87862	−	15.3966i	−0.0749651	−	0.614391i
$629$	−1.16092			−0.0462889
$630$	−1.08799	−	25.9610i	−0.0433467	−	1.03431i
$631$		−	22.4591i		−	0.894084i	−0.894513	−	0.447042i	$-0.852477\pi$
$631$		−	22.4591i		−	0.894084i	0.894513	−	0.447042i	$-0.147523\pi$
$632$	−8.18223	+	5.30039i	−0.325472	+	0.210838i
$633$	−9.25232	−	9.25232i	−0.367747	−	0.367747i
$634$	−20.0642	+	9.77656i	−0.796852	+	0.388277i
$635$	2.11638	+	5.39441i	0.0839860	+	0.214071i
$636$	−35.8152	−	28.0256i	−1.42016	−	1.11129i
$637$	−2.93336	−	2.93336i	−0.116224	−	0.116224i
$638$	3.34883	−	9.71374i	0.132581	−	0.384571i
$639$	61.8534			2.44688
$640$	−9.99423	−	23.2404i	−0.395057	−	0.918657i
$641$	−24.1625			−0.954361			−0.477180	−	0.878805i	$-0.658341\pi$
$641$	−24.1625			−0.954361			−0.477180	+	0.878805i	$0.658341\pi$
$642$	−7.82042	+	22.6842i	−0.308647	+	0.895275i
$643$	−22.4010	−	22.4010i	−0.883411	−	0.883411i	0.110468	−	0.993880i	$-0.464765\pi$
$643$	−22.4010	−	22.4010i	−0.883411	−	0.883411i	−0.993880	+	0.110468i	$0.964765\pi$
$644$	0.221801	+	0.173561i	0.00874019	+	0.00683926i
$645$	10.3968	−	23.8217i	0.409374	−	0.937979i
$646$	−0.265170	+	0.129208i	−0.0104330	+	0.00508361i
$647$	33.7872	+	33.7872i	1.32831	+	1.32831i	0.906843	+	0.421469i	$0.138486\pi$
$647$	33.7872	+	33.7872i	1.32831	+	1.32831i	0.421469	+	0.906843i	$0.361514\pi$
$648$	−80.3921	+	52.0774i	−3.15810	+	2.04579i
$649$			8.03015i			0.315211i
$650$	10.5976	−	27.3524i	0.415672	−	1.07285i
$651$	−25.5860			−1.00279
$652$	4.06491	+	33.3148i	0.159194	+	1.30471i
$653$	28.6589	−	28.6589i	1.12151	−	1.12151i	0.129996	−	0.991514i	$-0.458503\pi$
$653$	28.6589	−	28.6589i	1.12151	−	1.12151i	0.991514	−	0.129996i	$-0.0414965\pi$
$654$	−19.5515	+	9.52674i	−0.764525	+	0.372525i
$655$	38.2786	+	16.7064i	1.49567	+	0.652774i
$656$	−0.566887	−	2.28843i	−0.0221332	−	0.0893483i
$657$	−69.8204	+	69.8204i	−2.72395	+	2.72395i
$658$	−11.2789	−	3.88842i	−0.439697	−	0.151586i
$659$		−	27.4192i		−	1.06810i	−0.845452	−	0.534051i	$-0.820669\pi$
$659$		−	27.4192i		−	1.06810i	0.845452	−	0.534051i	$-0.179331\pi$
$660$	11.8843	−	39.8093i	0.462594	−	1.54958i
$661$			18.6094i			0.723823i	0.932212	+	0.361911i	$0.117876\pi$
$661$			18.6094i			0.723823i	−0.932212	+	0.361911i	$0.882124\pi$
$662$	7.60192	−	22.0504i	0.295457	−	0.857014i
$663$	−2.67370	+	2.67370i	−0.103838	+	0.103838i
$664$	28.4235	+	6.07539i	1.10305	+	0.235771i
$665$	1.59534	−	0.625897i	0.0618646	−	0.0242713i
$666$	−21.7126	−	44.5603i	−0.841347	−	1.72668i
$667$	−0.260813	+	0.260813i	−0.0100987	+	0.0100987i
$668$	−4.85099	−	39.7572i	−0.187690	−	1.53825i
$669$	8.22441			0.317974
$670$	1.68091	+	40.1088i	0.0649391	+	1.54954i
$671$			35.6235i			1.37523i
$672$	1.68698	−	18.8704i	0.0650767	−	0.727941i
$673$	17.0381	+	17.0381i	0.656771	+	0.656771i	0.954615	−	0.297844i	$-0.0962674\pi$
$673$	17.0381	+	17.0381i	0.656771	+	0.656771i	−0.297844	+	0.954615i	$0.596267\pi$
$674$	8.15156	+	16.7293i	0.313986	+	0.644387i
$675$	87.2973	+	3.28800i	3.36008	+	0.126555i
$676$	−5.18793	+	6.62989i	−0.199536	+	0.254996i
$677$	16.9594	+	16.9594i	0.651804	+	0.651804i	0.953427	−	0.301623i	$-0.0975284\pi$
$677$	16.9594	+	16.9594i	0.651804	+	0.651804i	−0.301623	+	0.953427i	$0.597528\pi$
$678$	−8.20670	−	2.82927i	−0.315176	−	0.108658i
$679$	0.167253			0.00641860
$680$	1.00304	−	1.39878i	0.0384649	−	0.0536408i
$681$	82.0432			3.14390
$682$	−28.3314	−	9.76730i	−1.08487	−	0.374009i
$683$	22.3481	+	22.3481i	0.855126	+	0.855126i	0.990759	−	0.135633i	$-0.0433068\pi$
$683$	22.3481	+	22.3481i	0.855126	+	0.855126i	−0.135633	+	0.990759i	$0.543307\pi$
$684$	−9.91891	−	7.76161i	−0.379259	−	0.296773i
$685$	0.782232	−	0.306892i	0.0298876	−	0.0117257i
$686$	0.619469	+	1.27132i	0.0236514	+	0.0485393i
$687$	−36.0572	−	36.0572i	−1.37567	−	1.37567i
$688$	7.16817	−	11.8890i	0.273284	−	0.453263i
$689$		−	28.1649i		−	1.07300i
$690$	−1.00950	+	1.09781i	−0.0384308	+	0.0417929i
$691$	22.6590			0.861988			0.430994	−	0.902355i	$-0.358163\pi$
$691$	22.6590			0.861988			0.430994	+	0.902355i	$0.358163\pi$
$692$	−11.9268	+	1.45525i	−0.453388	+	0.0553202i
$693$	16.1161	−	16.1161i	0.612201	−	0.612201i
$694$	6.09275	+	12.5040i	0.231278	+	0.474646i
$695$	3.18691	−	7.30201i	0.120886	−	0.276981i
$696$	24.2641	+	5.18633i	0.919728	+	0.196587i
$697$	0.113425	−	0.113425i	0.00429627	−	0.00429627i
$698$	10.6253	−	30.8203i	0.402175	−	1.16657i
$699$		−	6.84232i		−	0.258800i
$700$	−6.45463	+	7.63791i	−0.243962	+	0.288686i
$701$		−	12.3437i		−	0.466216i	−0.972451	−	0.233108i	$-0.925110\pi$
$701$		−	12.3437i		−	0.466216i	0.972451	−	0.233108i	$-0.0748896\pi$
$702$	−96.9054	−	33.4083i	−3.65746	−	1.26091i
$703$	2.31170	−	2.31170i	0.0871873	−	0.0871873i
$704$	9.07167	−	20.2513i	0.341902	−	0.763248i
$705$	25.2711	−	57.9024i	0.951763	−	2.18073i
$706$	37.2881	−	18.1691i	1.40336	−	0.683804i
$707$	−2.52973	+	2.52973i	−0.0951402	+	0.0951402i
$708$	−19.2489	+	2.34866i	−0.723418	+	0.0882681i
$709$	−7.80261			−0.293033			−0.146517	−	0.989208i	$-0.546806\pi$
$709$	−7.80261			−0.293033			−0.146517	+	0.989208i	$0.546806\pi$
$710$	−17.5224	−	16.1128i	−0.657606	−	0.604704i
$711$		−	28.3216i		−	1.06214i
$712$	−13.6531	−	21.0764i	−0.511672	−	0.789871i
$713$	0.760696	+	0.760696i	0.0284883	+	0.0284883i
$714$	1.15878	−	0.564633i	0.0433664	−	0.0211309i
$715$	23.9525	−	9.39724i	0.895772	−	0.351437i
$716$	−4.65219	+	5.94524i	−0.173861	+	0.222184i
$717$	47.3048	+	47.3048i	1.76663	+	1.76663i
$718$	11.4809	−	33.3020i	0.428464	−	1.24282i
$719$	−9.30288			−0.346939			−0.173469	−	0.984839i	$-0.555498\pi$
$719$	−9.30288			−0.346939			−0.173469	+	0.984839i	$0.555498\pi$
$720$	72.4501	+	12.3390i	2.70006	+	0.459848i
$721$	14.6902			0.547092
$722$	−8.48693	+	24.6175i	−0.315851	+	0.916169i
$723$	16.7528	+	16.7528i	0.623044	+	0.623044i
$724$	−0.137408	+	0.175600i	−0.00510672	+	0.00652611i
$725$	−8.90551	−	9.60261i	−0.330742	−	0.356632i
$726$	−14.0769	+	6.85917i	−0.522444	+	0.254568i
$727$	22.7801	+	22.7801i	0.844867	+	0.844867i	0.989487	−	0.144620i	$-0.0461960\pi$
$727$	22.7801	+	22.7801i	0.844867	+	0.844867i	−0.144620	+	0.989487i	$0.546196\pi$
$728$	9.84775	−	6.37930i	0.364982	−	0.236433i
$729$		−	102.718i		−	3.80437i
$730$	37.9676	−	1.59118i	1.40524	−	0.0588920i
$731$	0.944556			0.0349357
$732$	−85.3924	+	10.4192i	−3.15619	+	0.385104i
$733$	20.3371	−	20.3371i	0.751169	−	0.751169i	−0.223529	−	0.974697i	$-0.571758\pi$
$733$	20.3371	−	20.3371i	0.751169	−	0.751169i	0.974697	+	0.223529i	$0.0717577\pi$
$734$	−15.6487	+	7.62504i	−0.577604	+	0.281445i
$735$	−6.97158	+	2.73515i	−0.257151	+	0.100888i
$736$	−0.611191	+	0.510880i	−0.0225288	+	0.0188313i
$737$	−24.8988	+	24.8988i	−0.917158	+	0.917158i
$738$	6.47503	+	2.23228i	0.238349	+	0.0821712i
$739$			37.4632i			1.37811i	0.724710	+	0.689053i	$0.241974\pi$
$739$			37.4632i			1.37811i	−0.724710	+	0.689053i	$0.758026\pi$
$740$	−5.45701	+	18.2796i	−0.200604	+	0.671972i
$741$		−	10.6481i		−	0.391167i
$742$	−3.12941	+	9.07729i	−0.114884	+	0.333238i
$743$	−12.1535	+	12.1535i	−0.445870	+	0.445870i	−0.893979	−	0.448109i	$-0.852098\pi$
$743$	−12.1535	+	12.1535i	−0.445870	+	0.445870i	0.448109	+	0.893979i	$0.352098\pi$
$744$	15.1266	−	70.7695i	0.554569	−	2.59453i
$745$	−10.5355	−	4.59812i	−0.385989	−	0.168462i
$746$	−11.9847	−	24.5958i	−0.438790	−	0.900518i
$747$	−59.7066	+	59.7066i	−2.18455	+	2.18455i
$748$	1.49867	−	0.182861i	0.0547969	−	0.00668605i
$749$	5.06595			0.185106
$750$	−37.6030	−	37.2856i	−1.37307	−	1.36148i
$751$			40.8525i			1.49073i	0.666656	+	0.745365i	$0.267725\pi$
$751$			40.8525i			1.49073i	−0.666656	+	0.745365i	$0.732275\pi$
$752$	17.4233	−	28.8980i	0.635364	−	1.05380i
$753$	−11.1890	−	11.1890i	−0.407751	−	0.407751i
$754$	6.73109	+	13.8141i	0.245132	+	0.503078i
$755$	−13.5199	+	30.9774i	−0.492038	+	1.12738i
$756$	27.5197	+	21.5344i	1.00088	+	0.783197i
$757$	34.1413	+	34.1413i	1.24089	+	1.24089i	0.959633	+	0.281254i	$0.0907505\pi$
$757$	34.1413	+	34.1413i	1.24089	+	1.24089i	0.281254	+	0.959633i	$0.409250\pi$
$758$	−28.1979	−	9.72128i	−1.02419	−	0.353093i
$759$	−1.30818			−0.0474838
$760$	0.788023	+	4.78266i	0.0285846	+	0.173485i
$761$	0.153289			0.00555671			0.00277835	−	0.999996i	$-0.499116\pi$
$761$	0.153289			0.00555671			0.00277835	+	0.999996i	$0.499116\pi$
$762$	−11.6041	−	4.00052i	−0.420371	−	0.144923i
$763$	3.24695	+	3.24695i	0.117547	+	0.117547i
$764$	0.502407	−	0.642048i	0.0181765	−	0.0232285i
$765$	1.82626	+	4.65492i	0.0660285	+	0.168299i
$766$	2.13603	+	4.38373i	0.0771780	+	0.158391i
$767$	−8.49212	−	8.49212i	−0.306633	−	0.306633i
$768$	51.1972	+	15.8224i	1.84742	+	0.570943i
$769$		−	15.1122i		−	0.544959i	−0.962162	−	0.272479i	$-0.912156\pi$
$769$		−	15.1122i		−	0.544959i	0.962162	−	0.272479i	$-0.0878437\pi$
$770$	−8.76379	+	0.367279i	−0.315825	+	0.0132358i
$771$	81.8092			2.94629
$772$	−6.57286	−	53.8692i	−0.236562	−	1.93879i
$773$	−31.6943	+	31.6943i	−1.13997	+	1.13997i	−0.151510	+	0.988456i	$0.548414\pi$
$773$	−31.6943	+	31.6943i	−1.13997	+	1.13997i	−0.988456	+	0.151510i	$0.951586\pi$
$774$	17.6660	+	36.2554i	0.634990	+	1.30317i
$775$	−28.0073	+	25.9741i	−1.00605	+	0.933018i
$776$	−0.0988816	+	0.462614i	−0.00354964	+	0.0166069i
$777$	−10.1020	+	10.1020i	−0.362409	+	0.362409i
$778$	−13.0197	+	37.7655i	−0.466779	+	1.35396i
$779$			0.451717i			0.0161845i
$780$	29.5316	+	54.6675i	1.05740	+	1.95741i
$781$		−	20.8802i		−	0.747151i
$782$	−0.0512389	−	0.0176647i	−0.00183230	−	0.000631688i
$783$	−32.3600	+	32.3600i	−1.15645	+	1.15645i
$784$	−3.88265	+	0.961803i	−0.138666	+	0.0343501i
$785$	−6.33360	−	16.1436i	−0.226056	−	0.576190i
$786$	−79.5285	+	38.7513i	−2.83669	+	1.38221i
$787$	14.2199	−	14.2199i	0.506885	−	0.506885i	−0.406684	−	0.913569i	$-0.633315\pi$
$787$	14.2199	−	14.2199i	0.506885	−	0.506885i	0.913569	+	0.406684i	$0.133315\pi$
$788$	−3.67456	−	30.1156i	−0.130901	−	1.07282i
$789$	−68.9285			−2.45392
$790$	−7.37779	+	8.02322i	−0.262490	+	0.285454i
$791$			1.83276i			0.0651655i
$792$	35.0484	+	54.1044i	1.24539	+	1.92252i
$793$	−37.6729	−	37.6729i	−1.33780	−	1.33780i
$794$	36.4293	−	17.7507i	1.29283	−	0.629948i
$795$	−46.6000	−	20.3382i	−1.65273	−	0.721322i
$796$	−8.86347	−	6.93572i	−0.314157	−	0.245830i
$797$	−26.6209	−	26.6209i	−0.942962	−	0.942962i	0.0554970	−	0.998459i	$-0.482326\pi$
$797$	−26.6209	−	26.6209i	−0.942962	−	0.942962i	−0.998459	+	0.0554970i	$0.982326\pi$
$798$	−1.18311	+	3.43178i	−0.0418817	+	0.121484i
$799$	2.29589			0.0812227
$800$	−17.3100	−	22.3688i	−0.612003	−	0.790856i
$801$	72.9529			2.57766
$802$	9.29221	−	26.9534i	0.328119	−	0.951756i
$803$	23.5696	+	23.5696i	0.831753	+	0.831753i
$804$	−66.9668	−	52.4020i	−2.36174	−	1.84808i
$805$	0.288591	+	0.125953i	0.0101715	+	0.00443927i
$806$	40.2905	−	19.6321i	1.41917	−	0.691512i
$807$	−24.0168	−	24.0168i	−0.845430	−	0.845430i
$808$	−5.50150	−	8.49269i	−0.193542	−	0.298772i
$809$		−	23.2135i		−	0.816142i	−0.912950	−	0.408071i	$-0.866202\pi$
$809$		−	23.2135i		−	0.816142i	0.912950	−	0.408071i	$-0.133798\pi$
$810$	−72.4882	+	78.8298i	−2.54698	+	2.76980i
$811$	32.6473			1.14640			0.573201	−	0.819414i	$-0.305701\pi$
$811$	32.6473			1.14640			0.573201	+	0.819414i	$0.305701\pi$
$812$	−0.634484	−	5.20003i	−0.0222660	−	0.182485i
$813$	−52.4734	+	52.4734i	−1.84032	+	1.84032i
$814$	−15.0424	+	7.32963i	−0.527237	+	0.256903i
$815$	13.7045	+	34.9311i	0.480047	+	1.22358i
$816$	0.876664	+	3.53895i	0.0306894	+	0.123888i
$817$	−1.88086	+	1.88086i	−0.0658029	+	0.0658029i
$818$	−25.8385	−	8.90785i	−0.903421	−	0.311456i
$819$			34.0866i			1.19108i
$820$	−1.25280	−	2.31913i	−0.0437497	−	0.0809875i
$821$			28.7453i			1.00322i	0.865094	+	0.501610i	$0.167259\pi$
$821$			28.7453i			1.00322i	−0.865094	+	0.501610i	$0.832741\pi$
$822$	−0.580107	+	1.68268i	−0.0202335	+	0.0586902i
$823$	−4.88449	+	4.88449i	−0.170263	+	0.170263i	−0.787095	−	0.616832i	$-0.788416\pi$
$823$	−4.88449	+	4.88449i	−0.170263	+	0.170263i	0.616832	+	0.787095i	$0.288416\pi$
$824$	−8.68497	+	40.6324i	−0.302555	+	1.41550i
$825$	1.74824	−	46.4162i	0.0608659	−	1.61600i
$826$	1.79337	+	3.68049i	0.0623993	+	0.128061i
$827$	1.08652	−	1.08652i	0.0377820	−	0.0377820i	−0.687963	−	0.725745i	$-0.741495\pi$
$827$	1.08652	−	1.08652i	0.0377820	−	0.0377820i	0.725745	+	0.687963i	$0.241495\pi$
$828$	−0.280283	−	2.29711i	−0.00974051	−	0.0798303i
$829$	37.2356			1.29325			0.646623	−	0.762810i	$-0.276181\pi$
$829$	37.2356			1.29325			0.646623	+	0.762810i	$0.276181\pi$
$830$	32.4678	−	1.36069i	1.12697	−	0.0472301i
$831$			98.1537i			3.40491i
$832$	11.8227	+	31.0099i	0.409880	+	1.07507i
$833$	−0.192441	−	0.192441i	−0.00666769	−	0.00666769i
$834$	7.39218	+	15.1708i	0.255970	+	0.525322i
$835$	−16.3547	−	41.6862i	−0.565977	−	1.44261i
$836$	−2.62013	+	3.34837i	−0.0906189	+	0.115806i
$837$	94.3824	+	94.3824i	3.26233	+	3.26233i
$838$	9.39702	+	3.23964i	0.324615	+	0.111911i
$839$	41.0088			1.41578			0.707891	−	0.706322i	$-0.249647\pi$
$839$	41.0088			1.41578			0.707891	+	0.706322i	$0.249647\pi$
$840$	−3.44364	−	20.9001i	−0.118817	−	0.721121i
$841$	−22.1393			−0.763423
$842$	24.4875	+	8.44211i	0.843896	+	0.290934i
$843$	37.4078	+	37.4078i	1.28839	+	1.28839i
$844$	−6.15370	−	4.81531i	−0.211819	−	0.165750i
$845$	−3.76489	+	8.62631i	−0.129516	+	0.296754i
$846$	42.9399	+	88.1245i	1.47630	+	3.02978i
$847$	2.33777	+	2.33777i	0.0803269	+	0.0803269i
$848$	−23.2572	−	14.0224i	−0.798655	−	0.481529i
$849$			10.6170i			0.364375i
$850$	0.695247	−	1.79443i	0.0238468	−	0.0615485i
$851$	0.600688			0.0205913
$852$	50.0514	−	6.10704i	1.71473	−	0.209224i
$853$	4.75560	−	4.75560i	0.162829	−	0.162829i	−0.620990	−	0.783819i	$-0.713269\pi$
$853$	4.75560	−	4.75560i	0.162829	−	0.162829i	0.783819	+	0.620990i	$0.213269\pi$
$854$	7.95578	+	16.3275i	0.272241	+	0.558715i
$855$	−12.9057	−	5.63261i	−0.441367	−	0.192631i
$856$	−2.99503	+	14.0122i	−0.102368	+	0.478926i
$857$	−10.1779	+	10.1779i	−0.347669	+	0.347669i	−0.859241	−	0.511572i	$-0.829063\pi$
$857$	−10.1779	+	10.1779i	−0.347669	+	0.347669i	0.511572	+	0.859241i	$0.329063\pi$
$858$	−17.7633	+	51.5248i	−0.606428	+	1.75903i
$859$			30.5413i			1.04206i	0.853540	+	0.521028i	$0.174451\pi$
$859$			30.5413i			1.04206i	−0.853540	+	0.521028i	$0.825549\pi$
$860$	4.43996	−	14.8728i	0.151402	−	0.507158i
$861$		−	1.97399i		−	0.0672734i
$862$	−1.32276	−	0.456024i	−0.0450535	−	0.0155323i
$863$	10.4449	−	10.4449i	0.355550	−	0.355550i	−0.506620	−	0.862170i	$-0.669105\pi$
$863$	10.4449	−	10.4449i	0.355550	−	0.355550i	0.862170	+	0.506620i	$0.169105\pi$
$864$	−75.8328	+	63.3868i	−2.57988	+	2.15646i
$865$	−12.5054	+	4.90624i	−0.425197	+	0.166817i
$866$	43.2418	−	21.0702i	1.46942	−	0.715993i
$867$	40.0841	−	40.0841i	1.36133	−	1.36133i
$868$	−15.1666	+	1.85056i	−0.514788	+	0.0628120i
$869$	−9.56067			−0.324323
$870$	27.7165	−	1.16156i	0.939678	−	0.0393807i
$871$		−	52.6624i		−	1.78440i
$872$	−10.9005	+	7.06128i	−0.369138	+	0.239125i
$873$	−0.971769	−	0.971769i	−0.0328894	−	0.0328894i
$874$	0.137205	−	0.0668551i	0.00464103	−	0.00226141i
$875$	−4.85470	+	10.0713i	−0.164119	+	0.340474i
$876$	−49.6046	+	63.3919i	−1.67598	+	2.14181i
$877$	2.05033	+	2.05033i	0.0692349	+	0.0692349i	0.740876	−	0.671641i	$-0.234410\pi$
$877$	2.05033	+	2.05033i	0.0692349	+	0.0692349i	−0.671641	+	0.740876i	$0.734410\pi$
$878$	−8.86514	+	25.7146i	−0.299184	+	0.867825i
$879$	−57.7774			−1.94878
$880$	4.16535	−	24.4573i	0.140414	−	0.824456i
$881$	17.8979			0.602996			0.301498	−	0.953467i	$-0.402513\pi$
$881$	17.8979			0.602996			0.301498	+	0.953467i	$0.402513\pi$
$882$	3.78737	−	10.9858i	0.127527	−	0.369911i
$883$	−12.8033	−	12.8033i	−0.430865	−	0.430865i	0.458058	−	0.888922i	$-0.348545\pi$
$883$	−12.8033	−	12.8033i	−0.430865	−	0.430865i	−0.888922	+	0.458058i	$0.848545\pi$
$884$	−1.39151	+	1.77827i	−0.0468015	+	0.0598097i
$885$	−20.1828	+	7.91830i	−0.678438	+	0.266171i
$886$	−37.4697	+	18.2576i	−1.25882	+	0.613377i
$887$	−6.11635	−	6.11635i	−0.205367	−	0.205367i	0.596928	−	0.802295i	$-0.296388\pi$
$887$	−6.11635	−	6.11635i	−0.205367	−	0.205367i	−0.802295	+	0.596928i	$0.796388\pi$
$888$	−21.9693	−	33.9142i	−0.737243	−	1.13808i
$889$			2.59148i			0.0869153i
$890$	−20.6668	−	19.0042i	−0.692752	−	0.637023i
$891$	−93.9354			−3.14696
$892$	4.87519	−	0.594847i	0.163233	−	0.0199170i
$893$	−4.57172	+	4.57172i	−0.152987	+	0.152987i
$894$	21.8887	−	10.6656i	0.732067	−	0.356710i
$895$	−3.37610	+	7.73550i	−0.112851	+	0.258569i
$896$	−0.364847	−	11.3078i	−0.0121887	−	0.377768i
$897$	1.38344	−	1.38344i	0.0461916	−	0.0461916i
$898$	29.4305	+	10.1462i	0.982108	+	0.338583i
$899$		−	20.0102i		−	0.667379i
$900$	81.8799	−	6.87504i	2.72933	−	0.229168i
$901$		−	1.84774i		−	0.0615571i
$902$	0.753561	−	2.18581i	0.0250908	−	0.0727794i
$903$	8.21929	−	8.21929i	0.273521	−	0.273521i
$904$	−5.06932	−	1.08354i	−0.168603	−	0.0360381i
$905$	−0.0997170	+	0.228477i	−0.00331470	+	0.00759483i
$906$	−31.3600	−	64.3594i	−1.04187	−	2.13820i
$907$	30.4194	−	30.4194i	1.01006	−	1.01006i	0.0101121	−	0.999949i	$-0.496781\pi$
$907$	30.4194	−	30.4194i	1.01006	−	1.01006i	0.999949	−	0.0101121i	$-0.00321883\pi$
$908$	48.6328	−	5.93394i	1.61394	−	0.196925i
$909$	29.3962			0.975011
$910$	8.87956	−	9.65638i	0.294355	−	0.320106i
$911$		−	32.2350i		−	1.06799i	−0.845486	−	0.533997i	$-0.820689\pi$
$911$		−	32.2350i		−	1.06799i	0.845486	−	0.533997i	$-0.179311\pi$
$912$	−8.79266	−	5.30132i	−0.291154	−	0.175544i
$913$	20.1554	+	20.1554i	0.667047	+	0.667047i
$914$	−1.00968	−	2.07214i	−0.0333972	−	0.0685404i
$915$	−89.5354	+	35.1273i	−2.95995	+	1.16127i
$916$	−23.9816	−	18.7657i	−0.792373	−	0.620037i
$917$	13.2074	+	13.2074i	0.436147	+	0.436147i
$918$	−6.35740	−	2.19173i	−0.209826	−	0.0723377i
$919$	−18.8448			−0.621632			−0.310816	−	0.950470i	$-0.600602\pi$
$919$	−18.8448			−0.621632			−0.310816	+	0.950470i	$0.600602\pi$
$920$	−0.518997	+	0.723763i	−0.0171108	+	0.0238618i
$921$	1.62898			0.0536767
$922$	7.40121	+	2.55158i	0.243746	+	0.0840318i
$923$	22.0814	+	22.0814i	0.726818	+	0.726818i
$924$	11.4499	−	14.6323i	0.376673	−	0.481367i
$925$	−0.802755	+	21.3134i	−0.0263944	+	0.700779i
$926$	−22.8629	−	46.9210i	−0.751321	−	1.54192i
$927$	−85.3524	−	85.3524i	−2.80334	−	2.80334i
$928$	14.7581	+	1.31935i	0.484460	+	0.0433099i
$929$			38.6412i			1.26778i	0.773424	+	0.633889i	$0.218542\pi$
$929$			38.6412i			1.26778i	−0.773424	+	0.633889i	$0.781458\pi$
$930$	−3.38786	−	80.8389i	−0.111092	−	2.65081i
$931$	0.766401			0.0251178
$932$	−0.494885	−	4.05592i	−0.0162105	−	0.132856i
$933$	−7.82569	+	7.82569i	−0.256202	+	0.256202i
$934$	8.81423	+	18.0893i	0.288411	+	0.591898i
$935$	1.57138	−	0.616499i	0.0513898	−	0.0201617i
$936$	−94.2817	−	20.1523i	−3.08169	−	0.658697i
$937$	38.2653	−	38.2653i	1.25007	−	1.25007i	0.294385	−	0.955687i	$-0.404885\pi$
$937$	38.2653	−	38.2653i	1.25007	−	1.25007i	0.955687	−	0.294385i	$-0.0951149\pi$
$938$	−5.85133	+	16.9726i	−0.191053	+	0.554175i
$939$			80.6638i			2.63236i
$940$	10.7920	−	36.1506i	0.351997	−	1.17910i
$941$		−	22.9906i		−	0.749471i	−0.927132	−	0.374736i	$-0.877733\pi$
$941$		−	22.9906i		−	0.749471i	0.927132	−	0.374736i	$-0.122267\pi$
$942$	34.7269	+	11.9722i	1.13147	+	0.390074i
$943$	−0.0586887	+	0.0586887i	−0.00191117	+	0.00191117i
$944$	−11.2403	+	2.78443i	−0.365841	+	0.0906256i
$945$	35.8065	+	15.6275i	1.16479	+	0.508362i
$946$	12.2389	−	5.96358i	0.397922	−	0.193893i
$947$	−28.8847	+	28.8847i	−0.938627	+	0.938627i	−0.998223	−	0.0595953i	$-0.981019\pi$
$947$	−28.8847	+	28.8847i	−0.938627	+	0.938627i	0.0595953	+	0.998223i	$0.481019\pi$
$948$	−2.79631	−	22.9177i	−0.0908199	−	0.744332i
$949$	−49.8511			−1.61824
$950$	2.18877	+	4.95761i	0.0710129	+	0.160846i
$951$		−	52.8569i		−	1.71400i
$952$	0.646055	−	0.418509i	0.0209388	−	0.0135640i
$953$	30.7757	+	30.7757i	0.996922	+	0.996922i	0.999995	−	0.00307335i	$-0.000978280\pi$
$953$	30.7757	+	30.7757i	0.996922	+	0.996922i	−0.00307335	+	0.999995i	$0.500978\pi$
$954$	70.9228	−	34.5581i	2.29621	−	1.11886i
$955$	0.364597	−	0.835385i	0.0117981	−	0.0270324i
$956$	31.4623	+	24.6195i	1.01756	+	0.796250i
$957$	17.2059	+	17.2059i	0.556188	+	0.556188i
$958$	−0.702392	+	2.03739i	−0.0226933	+	0.0658249i
$959$	0.375784			0.0121347
$960$	59.8445	+	2.83138i	1.93147	+	0.0913823i
$961$	−27.3626			−0.882663
$962$	8.15652	−	23.6591i	0.262977	−	0.762801i
$963$	−29.4340	−	29.4340i	−0.948496	−	0.948496i
$964$	11.1423	+	8.71889i	0.358868	+	0.280816i
$965$	−22.1598	−	56.4828i	−0.713350	−	1.81824i
$966$	−0.599582	+	0.292155i	−0.0192912	+	0.00939992i
$967$	−27.7537	−	27.7537i	−0.892500	−	0.892500i	0.102258	−	0.994758i	$-0.467393\pi$
$967$	−27.7537	−	27.7537i	−0.892500	−	0.892500i	−0.994758	+	0.102258i	$0.967393\pi$
$968$	−7.84828	+	5.08405i	−0.252253	+	0.163408i
$969$		−	0.698559i		−	0.0224410i
$970$	0.0221462	+	0.528438i	0.000711071	+	0.0169671i
$971$	48.1293			1.54454			0.772272	−	0.635292i	$-0.219120\pi$
$971$	48.1293			1.54454			0.772272	+	0.635292i	$0.219120\pi$
$972$	−14.7774	−	121.111i	−0.473987	−	3.88465i
$973$	2.51944	−	2.51944i	0.0807695	−	0.0807695i
$974$	−18.4221	+	8.97643i	−0.590283	+	0.287623i
$975$	47.2377	+	50.9353i	1.51282	+	1.63124i
$976$	−49.8645	+	12.3524i	−1.59612	+	0.395389i
$977$	−2.26290	+	2.26290i	−0.0723965	+	0.0723965i	−0.742378	−	0.669981i	$-0.766302\pi$
$977$	−2.26290	+	2.26290i	−0.0723965	+	0.0723965i	0.669981	+	0.742378i	$0.266302\pi$
$978$	−75.1413	−	25.9051i	−2.40275	−	0.828353i
$979$		−	24.6270i		−	0.787084i
$980$	−3.93472	+	2.12555i	−0.125690	+	0.0678982i
$981$		−	37.7306i		−	1.20464i
$982$	−8.33440	+	24.1751i	−0.265961	+	0.771458i
$983$	−30.0330	+	30.0330i	−0.957904	+	0.957904i	−0.999149	−	0.0412451i	$-0.986868\pi$
$983$	−30.0330	+	30.0330i	−0.957904	+	0.957904i	0.0412451	+	0.999149i	$0.486868\pi$
$984$	5.45996	+	1.16704i	0.174057	+	0.0372039i
$985$	−12.3885	−	31.5767i	−0.394729	−	1.00612i
$986$	0.441588	+	0.906261i	0.0140630	+	0.0288612i
$987$	19.9783	−	19.9783i	0.635915	−	0.635915i
$988$	−0.770144	−	6.31187i	−0.0245015	−	0.200807i
$989$	−0.488735			−0.0155409
$990$	53.0529	+	48.7850i	1.68613	+	1.55049i
$991$			2.13454i			0.0678060i	0.999425	+	0.0339030i	$0.0107937\pi$
$991$			2.13454i			0.0678060i	−0.999425	+	0.0339030i	$0.989206\pi$
$992$	3.84807	−	43.0441i	0.122176	−	1.36665i
$993$	39.0578	+	39.0578i	1.23946	+	1.23946i
$994$	−4.66316	−	9.57010i	−0.147907	−	0.303545i
$995$	−11.5325	−	5.03326i	−0.365604	−	0.159565i
$996$	−42.4191	+	54.2093i	−1.34410	+	1.71769i
$997$	−18.4522	−	18.4522i	−0.584387	−	0.584387i	0.351719	−	0.936106i	$-0.385597\pi$
$997$	−18.4522	−	18.4522i	−0.584387	−	0.584387i	−0.936106	+	0.351719i	$0.885597\pi$
$998$	17.7397	+	6.11580i	0.561542	+	0.193592i
$999$	74.5296			2.35801

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.w.a.43.15	yes	72
4.3	odd	2		1120.2.bi.a.463.35		72
5.2	odd	4	inner	280.2.w.a.267.4	yes	72
8.3	odd	2	inner	280.2.w.a.43.4	✓	72
8.5	even	2		1120.2.bi.a.463.36		72
20.7	even	4		1120.2.bi.a.687.36		72
40.27	even	4	inner	280.2.w.a.267.15	yes	72
40.37	odd	4		1120.2.bi.a.687.35		72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.w.a.43.4	✓	72	8.3	odd	2	inner
280.2.w.a.43.15	yes	72	1.1	even	1	trivial
280.2.w.a.267.4	yes	72	5.2	odd	4	inner
280.2.w.a.267.15	yes	72	40.27	even	4	inner
1120.2.bi.a.463.35		72	4.3	odd	2
1120.2.bi.a.463.36		72	8.5	even	2
1120.2.bi.a.687.35		72	40.37	odd	4
1120.2.bi.a.687.36		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)

\(f(q)\)	\(=\)	\(q+(-0.460930 + 1.33699i) q^{2} +(-2.36821 - 2.36821i) q^{3} +(-1.57509 - 1.23252i) q^{4} +(-2.04939 - 0.894439i) q^{5} +(4.25785 - 2.07469i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(2.37387 - 1.53777i) q^{8} +8.21680i q^{9} +O(q^{10})\)	\(q+(-0.460930 + 1.33699i) q^{2} +(-2.36821 - 2.36821i) q^{3} +(-1.57509 - 1.23252i) q^{4} +(-2.04939 - 0.894439i) q^{5} +(4.25785 - 2.07469i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(2.37387 - 1.53777i) q^{8} +8.21680i q^{9} +(2.14048 - 2.32774i) q^{10} +2.77379 q^{11} +(0.811278 + 6.64899i) q^{12} +(-2.93336 + 2.93336i) q^{13} +(1.27132 - 0.619469i) q^{14} +(2.73515 + 6.97158i) q^{15} +(0.961803 + 3.88265i) q^{16} +(-0.192441 + 0.192441i) q^{17} +(-10.9858 - 3.78737i) q^{18} -0.766401i q^{19} +(2.12555 + 3.93472i) q^{20} +3.34915i q^{21} +(-1.27852 + 3.70853i) q^{22} +(0.0995735 - 0.0995735i) q^{23} +(-9.26358 - 1.98004i) q^{24} +(3.39996 + 3.66610i) q^{25} +(-2.56980 - 5.27395i) q^{26} +(12.3545 - 12.3545i) q^{27} +(0.242234 + 1.98528i) q^{28} -2.61930 q^{29} +(-10.5817 + 0.443464i) q^{30} +7.63954i q^{31} +(-5.63438 - 0.503704i) q^{32} +(-6.56890 - 6.56890i) q^{33} +(-0.168590 - 0.345994i) q^{34} +(0.816671 + 2.08160i) q^{35} +(10.1273 - 12.9422i) q^{36} +(3.01630 + 3.01630i) q^{37} +(1.02467 + 0.353257i) q^{38} +13.8936 q^{39} +(-6.24042 + 1.02821i) q^{40} -0.589401 q^{41} +(-4.47778 - 1.54372i) q^{42} +(-2.45414 - 2.45414i) q^{43} +(-4.36896 - 3.41874i) q^{44} +(7.34942 - 16.8394i) q^{45} +(0.0872325 + 0.179025i) q^{46} +(-5.96518 - 5.96518i) q^{47} +(6.91716 - 11.4727i) q^{48} +1.00000i q^{49} +(-6.46868 + 2.85590i) q^{50} +0.911480 q^{51} +(8.23572 - 1.00488i) q^{52} +(-4.80079 + 4.80079i) q^{53} +(10.8233 + 22.2123i) q^{54} +(-5.68456 - 2.48098i) q^{55} +(-2.76595 - 0.591208i) q^{56} +(-1.81500 + 1.81500i) q^{57} +(1.20731 - 3.50198i) q^{58} +2.89501i q^{59} +(4.28449 - 14.3520i) q^{60} +12.8429i q^{61} +(-10.2140 - 3.52129i) q^{62} +(5.81016 - 5.81016i) q^{63} +(3.27050 - 7.30095i) q^{64} +(8.63530 - 3.38788i) q^{65} +(11.8104 - 5.75475i) q^{66} +(-8.97646 + 8.97646i) q^{67} +(0.540298 - 0.0659247i) q^{68} -0.471621 q^{69} +(-3.15950 + 0.132411i) q^{70} -7.52768i q^{71} +(12.6356 + 19.5056i) q^{72} +(8.49727 + 8.49727i) q^{73} +(-5.42307 + 2.64246i) q^{74} +(0.630272 - 16.7339i) q^{75} +(-0.944603 + 1.20715i) q^{76} +(-1.96136 - 1.96136i) q^{77} +(-6.40398 + 18.5756i) q^{78} -3.44679 q^{79} +(1.50168 - 8.81731i) q^{80} -33.8654 q^{81} +(0.271672 - 0.788023i) q^{82} +(7.26640 + 7.26640i) q^{83} +(4.12788 - 5.27520i) q^{84} +(0.566512 - 0.222259i) q^{85} +(4.41235 - 2.14998i) q^{86} +(6.20304 + 6.20304i) q^{87} +(6.58460 - 4.26546i) q^{88} -8.87850i q^{89} +(19.1265 + 17.5879i) q^{90} +4.14840 q^{91} +(-0.279563 + 0.0341110i) q^{92} +(18.0920 - 18.0920i) q^{93} +(10.7249 - 5.22586i) q^{94} +(-0.685499 + 1.57065i) q^{95} +(12.1505 + 14.5363i) q^{96} +(-0.118266 + 0.118266i) q^{97} +(-1.33699 - 0.460930i) q^{98} +22.7916i 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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