LMFDB - Embedded newform 280.2.ba.b.19.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("280.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$40$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			19.6
Character	$\chi$	$=$	280.19
Dual form			280.2.ba.b.59.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.30291 + 0.549923i) q^{2} +(0.833565 + 1.44378i) q^{3} +(1.39517 - 1.43300i) q^{4} +(-0.660510 - 2.13629i) q^{5} +(-1.88003 - 1.42272i) q^{6} +(2.56833 - 0.635367i) q^{7} +(-1.02974 + 2.63432i) q^{8} +(0.110340 - 0.191114i) q^{9} +O(q^{10})$	\(q+(-1.30291 + 0.549923i) q^{2} +(0.833565 + 1.44378i) q^{3} +(1.39517 - 1.43300i) q^{4} +(-0.660510 - 2.13629i) q^{5} +(-1.88003 - 1.42272i) q^{6} +(2.56833 - 0.635367i) q^{7} +(-1.02974 + 2.63432i) q^{8} +(0.110340 - 0.191114i) q^{9} +(2.03538 + 2.42017i) q^{10} +(-0.395322 - 0.684718i) q^{11} +(3.23190 + 0.819810i) q^{12} -6.84388i q^{13} +(-2.99691 + 2.24021i) q^{14} +(2.53375 - 2.73436i) q^{15} +(-0.107006 - 3.99857i) q^{16} +(1.46309 + 2.53414i) q^{17} +(-0.0386651 + 0.309683i) q^{18} +(1.96683 + 1.13555i) q^{19} +(-3.98283 - 2.03397i) q^{20} +(3.05820 + 3.17847i) q^{21} +(0.891613 + 0.674732i) q^{22} +(-0.946588 + 1.63954i) q^{23} +(-4.66172 + 0.709156i) q^{24} +(-4.12745 + 2.82208i) q^{25} +(3.76361 + 8.91699i) q^{26} +5.36929 q^{27} +(2.67277 - 4.56687i) q^{28} +2.46658i q^{29} +(-1.79756 + 4.95600i) q^{30} +(2.87365 + 4.97731i) q^{31} +(2.33833 + 5.15095i) q^{32} +(0.659054 - 1.14151i) q^{33} +(-3.29986 - 2.49718i) q^{34} +(-3.05373 - 5.06702i) q^{35} +(-0.119925 - 0.424753i) q^{36} +(-2.59082 + 4.48744i) q^{37} +(-3.18708 - 0.397918i) q^{38} +(9.88103 - 5.70482i) q^{39} +(6.30782 + 0.459835i) q^{40} +3.71071i q^{41} +(-5.73248 - 2.45950i) q^{42} -9.52516i q^{43} +(-1.53275 - 0.388799i) q^{44} +(-0.481155 - 0.109485i) q^{45} +(0.331703 - 2.65673i) q^{46} +(-0.185107 - 0.106871i) q^{47} +(5.68384 - 3.48756i) q^{48} +(6.19262 - 3.26366i) q^{49} +(3.82579 - 5.94671i) q^{50} +(-2.43916 + 4.22474i) q^{51} +(-9.80732 - 9.54837i) q^{52} +(-3.21770 - 5.57322i) q^{53} +(-6.99572 + 2.95270i) q^{54} +(-1.20164 + 1.29679i) q^{55} +(-0.970960 + 7.42006i) q^{56} +3.78622i q^{57} +(-1.35643 - 3.21375i) q^{58} +(0.430991 - 0.248833i) q^{59} +(-0.383353 - 7.44577i) q^{60} +(-5.87951 + 10.1836i) q^{61} +(-6.48126 - 4.90472i) q^{62} +(0.161961 - 0.560949i) q^{63} +(-5.87926 - 5.42534i) q^{64} +(-14.6205 + 4.52045i) q^{65} +(-0.230945 + 1.84972i) q^{66} +(-2.83429 + 1.63638i) q^{67} +(5.67269 + 1.43894i) q^{68} -3.15617 q^{69} +(6.76522 + 4.92258i) q^{70} -4.40847i q^{71} +(0.389833 + 0.487468i) q^{72} +(3.18360 + 5.51416i) q^{73} +(0.907874 - 7.27150i) q^{74} +(-7.51495 - 3.60674i) q^{75} +(4.37131 - 1.23419i) q^{76} +(-1.45036 - 1.50741i) q^{77} +(-9.73693 + 12.8667i) q^{78} +(-5.25074 - 3.03152i) q^{79} +(-8.47142 + 2.86969i) q^{80} +(4.14463 + 7.17871i) q^{81} +(-2.04061 - 4.83474i) q^{82} -13.5430 q^{83} +(8.82147 + 0.0520984i) q^{84} +(4.44727 - 4.79940i) q^{85} +(5.23810 + 12.4105i) q^{86} +(-3.56120 + 2.05606i) q^{87} +(2.21085 - 0.336321i) q^{88} +(-9.86730 - 5.69689i) q^{89} +(0.687111 - 0.121949i) q^{90} +(-4.34837 - 17.5773i) q^{91} +(1.02882 + 3.64390i) q^{92} +(-4.79075 + 8.29782i) q^{93} +(0.299949 + 0.0374498i) q^{94} +(1.12675 - 4.95176i) q^{95} +(-5.48767 + 7.66967i) q^{96} +13.0656 q^{97} +(-6.27369 + 7.65773i) q^{98} -0.174479 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) $ 80 * q + 6 * q^4 - 52 * q^9	$ 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) $ 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−1.30291	+	0.549923i	−0.921299	+	0.388854i
$2$	−1.30291	+	0.549923i	−0.921299	+	0.388854i
$3$	0.833565	+	1.44378i	0.481259	+	0.833565i	0.999769	−	0.0215069i	$-0.00684639\pi$
$3$	0.833565	+	1.44378i	0.481259	+	0.833565i	−0.518510	+	0.855072i	$0.673513\pi$
$4$	1.39517	−	1.43300i	0.697585	−	0.716502i
$5$	−0.660510	−	2.13629i	−0.295389	−	0.955377i
$5$	−0.660510	−	2.13629i	−0.295389	−	0.955377i
$6$	−1.88003	−	1.42272i	−0.767519	−	0.580823i
$7$	2.56833	−	0.635367i	0.970737	−	0.240146i
$7$	2.56833	−	0.635367i	0.970737	−	0.240146i
$8$	−1.02974	+	2.63432i	−0.364069	+	0.931372i
$9$	0.110340	−	0.191114i	0.0367799	−	0.0637046i
$10$	2.03538	+	2.42017i	0.643644	+	0.765325i
$11$	−0.395322	−	0.684718i	−0.119194	−	0.206450i	0.800254	−	0.599661i	$-0.204698\pi$
$11$	−0.395322	−	0.684718i	−0.119194	−	0.206450i	−0.919449	+	0.393210i	$0.871364\pi$
$12$	3.23190	+	0.819810i	0.932970	+	0.236659i
$13$		−	6.84388i		−	1.89815i	−0.315049	−	0.949076i	$-0.602021\pi$
$13$		−	6.84388i		−	1.89815i	0.315049	−	0.949076i	$-0.397979\pi$
$14$	−2.99691	+	2.24021i	−0.800957	+	0.598722i
$15$	2.53375	−	2.73436i	0.654210	−	0.706009i
$16$	−0.107006	−	3.99857i	−0.0267516	−	0.999642i
$17$	1.46309	+	2.53414i	0.354851	+	0.614620i	0.987092	−	0.160152i	$-0.0511983\pi$
$17$	1.46309	+	2.53414i	0.354851	+	0.614620i	−0.632242	+	0.774771i	$0.717865\pi$
$18$	−0.0386651	+	0.309683i	−0.00911345	+	0.0729930i
$19$	1.96683	+	1.13555i	0.451222	+	0.260513i	0.708346	−	0.705865i	$-0.249442\pi$
$19$	1.96683	+	1.13555i	0.451222	+	0.260513i	−0.257124	+	0.966378i	$0.582775\pi$
$20$	−3.98283	−	2.03397i	−0.890589	−	0.454809i
$21$	3.05820	+	3.17847i	0.667353	+	0.693600i
$22$	0.891613	+	0.674732i	0.190093	+	0.143853i
$23$	−0.946588	+	1.63954i	−0.197377	+	0.341867i	−0.947677	−	0.319230i	$-0.896576\pi$
$23$	−0.946588	+	1.63954i	−0.197377	+	0.341867i	0.750300	+	0.661098i	$0.229909\pi$
$24$	−4.66172	+	0.709156i	−0.951570	+	0.144756i
$25$	−4.12745	+	2.82208i	−0.825491	+	0.564416i
$26$	3.76361	+	8.91699i	0.738104	+	1.74877i
$27$	5.36929			1.03332
$28$	2.67277	−	4.56687i	0.505106	−	0.863057i
$29$			2.46658i			0.458033i	0.973423	+	0.229017i	$0.0735510\pi$
$29$			2.46658i			0.458033i	−0.973423	+	0.229017i	$0.926449\pi$
$30$	−1.79756	+	4.95600i	−0.328188	+	0.904838i
$31$	2.87365	+	4.97731i	0.516123	+	0.893951i	0.999825	+	0.0187183i	$0.00595857\pi$
$31$	2.87365	+	4.97731i	0.516123	+	0.893951i	−0.483702	+	0.875233i	$0.660708\pi$
$32$	2.33833	+	5.15095i	0.413361	+	0.910567i
$33$	0.659054	−	1.14151i	0.114727	−	0.198712i
$34$	−3.29986	−	2.49718i	−0.565921	−	0.428263i
$35$	−3.05373	−	5.06702i	−0.516175	−	0.856483i
$36$	−0.119925	−	0.424753i	−0.0199874	−	0.0707922i
$37$	−2.59082	+	4.48744i	−0.425929	+	0.737730i	−0.996507	−	0.0835133i	$-0.973386\pi$
$37$	−2.59082	+	4.48744i	−0.425929	+	0.737730i	0.570578	+	0.821243i	$0.306719\pi$
$38$	−3.18708	−	0.397918i	−0.517012	−	0.0645509i
$39$	9.88103	−	5.70482i	1.58223	−	0.913502i
$40$	6.30782	+	0.459835i	0.997353	+	0.0727062i
$41$			3.71071i			0.579516i	0.957100	+	0.289758i	$0.0935748\pi$
$41$			3.71071i			0.579516i	−0.957100	+	0.289758i	$0.906425\pi$
$42$	−5.73248	−	2.45950i	−0.884541	−	0.379510i
$43$		−	9.52516i		−	1.45257i	−0.687392	−	0.726286i	$-0.741245\pi$
$43$		−	9.52516i		−	1.45257i	0.687392	−	0.726286i	$-0.258755\pi$
$44$	−1.53275	−	0.388799i	−0.231070	−	0.0586137i
$45$	−0.481155	−	0.109485i	−0.0717263	−	0.0163210i
$46$	0.331703	−	2.65673i	0.0489069	−	0.391713i
$47$	−0.185107	−	0.106871i	−0.0270006	−	0.0155888i	0.486439	−	0.873715i	$-0.338296\pi$
$47$	−0.185107	−	0.106871i	−0.0270006	−	0.0155888i	−0.513440	+	0.858126i	$0.671629\pi$
$48$	5.68384	−	3.48756i	0.820392	−	0.503386i
$49$	6.19262	−	3.26366i	0.884660	−	0.466237i
$50$	3.82579	−	5.94671i	0.541049	−	0.840991i
$51$	−2.43916	+	4.22474i	−0.341550	+	0.591582i
$52$	−9.80732	−	9.54837i	−1.36003	−	1.32412i
$53$	−3.21770	−	5.57322i	−0.441985	−	0.765540i	0.555852	−	0.831281i	$-0.312392\pi$
$53$	−3.21770	−	5.57322i	−0.441985	−	0.765540i	−0.997837	+	0.0657412i	$0.979059\pi$
$54$	−6.99572	+	2.95270i	−0.951997	+	0.401811i
$55$	−1.20164	+	1.29679i	−0.162029	+	0.174859i
$56$	−0.970960	+	7.42006i	−0.129750	+	0.991547i
$57$			3.78622i			0.501497i
$58$	−1.35643	−	3.21375i	−0.178108	−	0.421985i
$59$	0.430991	−	0.248833i	0.0561102	−	0.0323953i	−0.471682	−	0.881768i	$-0.656353\pi$
$59$	0.430991	−	0.248833i	0.0561102	−	0.0323953i	0.527793	+	0.849373i	$0.323020\pi$
$60$	−0.383353	−	7.44577i	−0.0494906	−	0.961244i
$61$	−5.87951	+	10.1836i	−0.752794	+	1.30388i	0.193670	+	0.981067i	$0.437961\pi$
$61$	−5.87951	+	10.1836i	−0.752794	+	1.30388i	−0.946464	+	0.322810i	$0.895372\pi$
$62$	−6.48126	−	4.90472i	−0.823120	−	0.622900i
$63$	0.161961	−	0.560949i	0.0204052	−	0.0706730i
$64$	−5.87926	−	5.42534i	−0.734908	−	0.678167i
$65$	−14.6205	+	4.52045i	−1.81345	+	0.560693i
$66$	−0.230945	+	1.84972i	−0.0284274	+	0.227685i
$67$	−2.83429	+	1.63638i	−0.346264	+	0.199916i	−0.663039	−	0.748585i	$-0.730734\pi$
$67$	−2.83429	+	1.63638i	−0.346264	+	0.199916i	0.316774	+	0.948501i	$0.397400\pi$
$68$	5.67269	+	1.43894i	0.687915	+	0.174498i
$69$	−3.15617			−0.379958
$70$	6.76522	+	4.92258i	0.808599	+	0.588361i
$71$		−	4.40847i		−	0.523189i	−0.965178	−	0.261594i	$-0.915752\pi$
$71$		−	4.40847i		−	0.523189i	0.965178	−	0.261594i	$-0.0842483\pi$
$72$	0.389833	+	0.487468i	0.0459423	+	0.0574486i
$73$	3.18360	+	5.51416i	0.372612	+	0.645384i	0.989967	−	0.141302i	$-0.0451288\pi$
$73$	3.18360	+	5.51416i	0.372612	+	0.645384i	−0.617354	+	0.786685i	$0.711795\pi$
$74$	0.907874	−	7.27150i	0.105538	−	0.845294i
$75$	−7.51495	−	3.60674i	−0.867752	−	0.416470i
$76$	4.37131	−	1.23419i	0.501424	−	0.141572i
$77$	−1.45036	−	1.50741i	−0.165284	−	0.171785i
$78$	−9.73693	+	12.8667i	−1.10249	+	1.45687i
$79$	−5.25074	−	3.03152i	−0.590755	−	0.341072i	0.174641	−	0.984632i	$-0.444123\pi$
$79$	−5.25074	−	3.03152i	−0.590755	−	0.341072i	−0.765396	+	0.643560i	$0.777457\pi$
$80$	−8.47142	+	2.86969i	−0.947133	+	0.320841i
$81$	4.14463	+	7.17871i	0.460515	+	0.797635i
$82$	−2.04061	−	4.83474i	−0.225347	−	0.533908i
$83$	−13.5430			−1.48654			−0.743271	−	0.668990i	$-0.766727\pi$
$83$	−13.5430			−1.48654			−0.743271	+	0.668990i	$0.766727\pi$
$84$	8.82147	+	0.0520984i	0.962501	+	0.00568440i
$85$	4.44727	−	4.79940i	0.482375	−	0.520568i
$86$	5.23810	+	12.4105i	0.564839	+	1.33825i
$87$	−3.56120	+	2.05606i	−0.381800	+	0.220432i
$88$	2.21085	−	0.336321i	0.235677	−	0.0358519i
$89$	−9.86730	−	5.69689i	−1.04593	−	0.603869i	−0.124424	−	0.992229i	$-0.539708\pi$
$89$	−9.86730	−	5.69689i	−1.04593	−	0.603869i	−0.921508	+	0.388360i	$0.873042\pi$
$90$	0.687111	−	0.121949i	0.0724279	−	0.0128545i
$91$	−4.34837	−	17.5773i	−0.455833	−	1.84261i
$92$	1.02882	+	3.64390i	0.107262	+	0.379903i
$93$	−4.79075	+	8.29782i	−0.496777	+	0.860444i
$94$	0.299949	+	0.0374498i	0.0309374	+	0.00386265i
$95$	1.12675	−	4.95176i	0.115602	−	0.508040i
$96$	−5.48767	+	7.66967i	−0.560083	+	0.782782i
$97$	13.0656			1.32661			0.663303	−	0.748351i	$-0.269154\pi$
$97$	13.0656			1.32661			0.663303	+	0.748351i	$0.269154\pi$
$98$	−6.27369	+	7.65773i	−0.633738	+	0.773548i
$99$	−0.174479			−0.0175358
$100$	−1.71444	+	9.85194i	−0.171444	+	0.985194i
$101$	−5.16640	−	8.94847i	−0.514076	−	0.890406i	−0.999867	−	0.0163310i	$-0.994801\pi$
$101$	−5.16640	−	8.94847i	−0.514076	−	0.890406i	0.485790	−	0.874075i	$-0.338532\pi$
$102$	0.854727	−	6.84582i	0.0846306	−	0.677838i
$103$	17.1988	+	9.92971i	1.69464	+	0.978403i	0.950675	+	0.310189i	$0.100392\pi$
$103$	17.1988	+	9.92971i	1.69464	+	0.978403i	0.743969	+	0.668214i	$0.232941\pi$
$104$	18.0290	+	7.04744i	1.76788	+	0.691058i
$105$	4.77017	−	8.63260i	0.465521	−	0.842455i
$106$	7.25722	+	5.49193i	0.704884	+	0.533424i
$107$	13.9595	+	8.05950i	1.34951	+	0.779142i	0.988180	−	0.153295i	$-0.0489885\pi$
$107$	13.9595	+	8.05950i	1.34951	+	0.779142i	0.361333	+	0.932437i	$0.382322\pi$
$108$	7.49107	−	7.69422i	0.720828	−	0.740376i
$109$	−12.8463	+	7.41679i	−1.23045	+	0.710400i	−0.967124	−	0.254307i	$-0.918153\pi$
$109$	−12.8463	+	7.41679i	−1.23045	+	0.710400i	−0.263326	+	0.964707i	$0.584819\pi$
$110$	0.852503	−	2.35041i	0.0812830	−	0.224103i
$111$	−8.63847			−0.819928
$112$	−2.81538	−	10.2016i	−0.266029	−	0.963965i
$113$		−	4.32459i		−	0.406823i	−0.979093	−	0.203411i	$-0.934797\pi$
$113$		−	4.32459i		−	0.406823i	0.979093	−	0.203411i	$-0.0652029\pi$
$114$	−2.08213	−	4.93311i	−0.195009	−	0.462029i
$115$	4.12776	+	0.939254i	0.384915	+	0.0875859i
$116$	3.53463	+	3.44130i	0.328182	+	0.319517i
$117$	−1.30796	−	0.755151i	−0.120921	−	0.0698138i
$118$	−0.424705	+	0.561220i	−0.0390973	+	0.0516644i
$119$	5.36780	+	5.57891i	0.492065	+	0.511418i
$120$	4.59408	+	9.49038i	0.419380	+	0.866349i
$121$	5.18744	−	8.98491i	0.471585	−	0.816810i
$122$	2.06029	−	16.5016i	0.186530	−	1.49399i
$123$	−5.35744	+	3.09312i	−0.483064	+	0.278897i
$124$	11.1417	+	2.82623i	1.00056	+	0.253803i
$125$	8.75499	+	6.95342i	0.783071	+	0.621933i
$126$	0.0974576	+	0.819935i	0.00868222	+	0.0730456i
$127$	−4.67057			−0.414446			−0.207223	−	0.978294i	$-0.566443\pi$
$127$	−4.67057			−0.414446			−0.207223	+	0.978294i	$0.566443\pi$
$128$	10.6437	+	3.83561i	0.940778	+	0.339023i
$129$	13.7522	−	7.93983i	1.21081	−	0.699063i
$130$	16.5634	−	13.9299i	1.45270	−	1.22173i
$131$	13.4161	+	7.74576i	1.17217	+	0.676750i	0.954189	−	0.299204i	$-0.0967209\pi$
$131$	13.4161	+	7.74576i	1.17217	+	0.676750i	0.217977	+	0.975954i	$0.430054\pi$
$132$	−0.716304	−	2.53703i	−0.0623463	−	0.220820i
$133$	5.77295	+	1.66681i	0.500579	+	0.144530i
$134$	2.79296	−	3.69071i	0.241275	−	0.318829i
$135$	−3.54647	−	11.4703i	−0.305231	−	0.987210i
$136$	−8.18234	+	1.24472i	−0.701630	+	0.106734i
$137$	−12.5411	+	7.24059i	−1.07146	+	0.618606i	−0.928579	−	0.371135i	$-0.878969\pi$
$137$	−12.5411	+	7.24059i	−1.07146	+	0.618606i	−0.142877	+	0.989740i	$0.545635\pi$
$138$	4.11222	−	1.73565i	0.350055	−	0.147748i
$139$			10.9687i			0.930349i	0.885219	+	0.465175i	$0.154008\pi$
$139$			10.9687i			0.930349i	−0.885219	+	0.465175i	$0.845992\pi$
$140$	−11.5215	−	2.69334i	−0.973748	−	0.227629i
$141$		−	0.356337i		−	0.0300090i
$142$	2.42432	+	5.74385i	0.203444	+	0.482013i
$143$	−4.68613	+	2.70554i	−0.391874	+	0.226249i
$144$	−0.775989	−	0.420750i	−0.0646657	−	0.0350625i
$145$	5.26933	−	1.62920i	0.437594	−	0.135298i
$146$	−7.18032	−	5.43374i	−0.594248	−	0.449699i
$147$	9.87394	+	6.22029i	0.814389	+	0.513041i
$148$	2.81588	+	9.97340i	0.231464	+	0.819808i
$149$	−12.7792	−	7.37808i	−1.04691	−	0.604436i	−0.125130	−	0.992140i	$-0.539935\pi$
$149$	−12.7792	−	7.37808i	−1.04691	−	0.604436i	−0.921784	+	0.387704i	$0.873268\pi$
$150$	11.7748	+	0.566622i	0.961405	+	0.0462645i
$151$	−13.6780	+	7.89697i	−1.11310	+	0.642647i	−0.939630	−	0.342193i	$-0.888830\pi$
$151$	−13.6780	+	7.89697i	−1.11310	+	0.642647i	−0.173467	+	0.984840i	$0.555497\pi$
$152$	−5.01673	+	4.01193i	−0.406910	+	0.325411i
$153$	0.645746			0.0522055
$154$	2.71866	+	1.16643i	0.219076	+	0.0939938i
$155$	8.73489	−	9.42651i	0.701603	−	0.757155i
$156$	5.61068	−	22.1188i	0.449214	−	1.77092i
$157$	−8.15924	+	4.71074i	−0.651178	+	0.375958i	−0.788907	−	0.614512i	$-0.789353\pi$
$157$	−8.15924	+	4.71074i	−0.651178	+	0.375958i	0.137729	+	0.990470i	$0.456020\pi$
$158$	8.50836	+	1.06230i	0.676889	+	0.0845122i
$159$	5.36432	−	9.29127i	0.425418	−	0.736846i
$160$	9.45942	−	8.39759i	0.747833	−	0.663887i
$161$	−1.38944	+	4.81230i	−0.109503	+	0.379263i
$162$	−9.34784	−	7.07402i	−0.734435	−	0.555787i
$163$	−4.19953	−	2.42460i	−0.328932	−	0.189909i	0.326435	−	0.945220i	$-0.394153\pi$
$163$	−4.19953	−	2.42460i	−0.328932	−	0.189909i	−0.655367	+	0.755311i	$0.727486\pi$
$164$	5.31747	+	5.17707i	0.415225	+	0.404261i
$165$	−2.87391	−	0.653947i	−0.223734	−	0.0509097i
$166$	17.6454	−	7.44764i	1.36955	−	0.578049i
$167$			10.5301i			0.814840i	0.913241	+	0.407420i	$0.133572\pi$
$167$			10.5301i			0.814840i	−0.913241	+	0.407420i	$0.866428\pi$
$168$	−11.5223	+	4.78325i	−0.888962	+	0.369036i
$169$	−33.8387			−2.60298
$170$	−3.15511	+	8.69887i	−0.241986	+	0.667173i
$171$	0.434039	−	0.250592i	0.0331918	−	0.0191633i
$172$	−13.6496	−	13.2892i	−1.04077	−	1.01329i
$173$	10.0480	+	5.80119i	0.763933	+	0.441057i	0.830706	−	0.556712i	$-0.187937\pi$
$173$	10.0480	+	5.80119i	0.763933	+	0.441057i	−0.0667734	+	0.997768i	$0.521270\pi$
$174$	3.50926	−	4.63725i	0.266036	−	0.351549i
$175$	−8.80760	+	9.87047i	−0.665792	+	0.746137i
$176$	−2.69559	+	1.65399i	−0.203188	+	0.124674i
$177$	0.718518	+	0.414836i	0.0540071	+	0.0311810i
$178$	15.9891	+	1.99630i	1.19843	+	0.149629i
$179$	9.70530	+	16.8101i	0.725408	+	1.25644i	0.958806	+	0.284062i	$0.0916822\pi$
$179$	9.70530	+	16.8101i	0.725408	+	1.25644i	−0.233398	+	0.972381i	$0.574984\pi$
$180$	−0.828184	+	0.536747i	−0.0617292	+	0.0400068i
$181$	16.8009			1.24880			0.624401	−	0.781104i	$-0.285343\pi$
$181$	16.8009			1.24880			0.624401	+	0.781104i	$0.285343\pi$
$182$	15.3317	+	20.5105i	1.13646	+	1.52034i
$183$	−19.6038			−1.44915
$184$	−3.34432	−	4.18192i	−0.246547	−	0.308295i
$185$	11.2977	+	2.57075i	0.830625	+	0.189005i
$186$	1.67877	−	13.4459i	0.123093	−	0.985900i
$187$	1.15678	−	2.00361i	0.0845923	−	0.146518i
$188$	−0.411402	+	0.116155i	−0.0300046	+	0.00847148i
$189$	13.7901	−	3.41147i	1.00308	−	0.248148i
$190$	1.25503	+	7.07134i	0.0910491	+	0.513009i
$191$	9.58750	+	5.53535i	0.693727	+	0.400524i	0.805007	−	0.593266i	$-0.202162\pi$
$191$	9.58750	+	5.53535i	0.693727	+	0.400524i	−0.111280	+	0.993789i	$0.535495\pi$
$192$	2.93223	−	13.0107i	0.211616	−	0.938967i
$193$	−2.30035	+	1.32811i	−0.165583	+	0.0955994i	−0.580501	−	0.814259i	$-0.697143\pi$
$193$	−2.30035	+	1.32811i	−0.165583	+	0.0955994i	0.414918	+	0.909859i	$0.363810\pi$
$194$	−17.0233	+	7.18505i	−1.22220	+	0.515857i
$195$	−18.7137	−	17.3406i	−1.34011	−	1.24179i
$196$	3.96291	−	13.4274i	0.283065	−	0.959101i
$197$	9.96943			0.710292			0.355146	−	0.934811i	$-0.384431\pi$
$197$	9.96943			0.710292			0.355146	+	0.934811i	$0.384431\pi$
$198$	0.227331	−	0.0959500i	0.0161557	−	0.00681887i
$199$	−0.373969	−	0.647733i	−0.0265099	−	0.0459166i	0.852466	−	0.522783i	$-0.175106\pi$
$199$	−0.373969	−	0.647733i	−0.0265099	−	0.0459166i	−0.878976	+	0.476866i	$0.841773\pi$
$200$	−3.18403	−	13.7790i	−0.225145	−	0.974325i
$201$	−4.72514	−	2.72806i	−0.333285	−	0.192422i
$202$	11.6524	+	8.81797i	0.819857	+	0.620430i
$203$	1.56718	+	6.33500i	0.109995	+	0.444630i
$204$	2.65104	+	9.38955i	0.185610	+	0.657400i
$205$	7.92715	−	2.45096i	0.553656	−	0.171183i
$206$	−27.8691	−	3.47956i	−1.94173	−	0.242432i
$207$	0.208892	+	0.361812i	0.0145190	+	0.0251477i
$208$	−27.3657	+	0.732338i	−1.89747	+	0.0507785i
$209$		−	1.79563i		−	0.124207i
$210$	−1.46785	+	13.8708i	−0.101291	+	0.957173i
$211$	−13.0773			−0.900281			−0.450140	−	0.892958i	$-0.648626\pi$
$211$	−13.0773			−0.900281			−0.450140	+	0.892958i	$0.648626\pi$
$212$	−12.4757	−	3.16460i	−0.856833	−	0.217346i
$213$	6.36484	−	3.67474i	0.436112	−	0.251789i
$214$	−22.6201	−	2.82420i	−1.54628	−	0.193059i
$215$	−20.3485	+	6.29146i	−1.38775	+	0.429074i
$216$	−5.52899	+	14.1444i	−0.376200	+	0.962405i
$217$	10.5429	+	10.9575i	0.715698	+	0.743846i
$218$	12.6589	−	16.7279i	0.857370	−	1.13296i
$219$	−5.30748	+	9.19282i	−0.358646	+	0.621193i
$220$	0.181807	+	3.53119i	0.0122574	+	0.238073i
$221$	17.3434	−	10.0132i	1.16664	−	0.673560i
$222$	11.2552	−	4.75050i	0.755399	−	0.318832i
$223$			4.09586i			0.274279i	0.990552	+	0.137140i	$0.0437909\pi$
$223$			4.09586i			0.274279i	−0.990552	+	0.137140i	$0.956209\pi$
$224$	9.27832	+	11.7436i	0.619934	+	0.784654i
$225$	0.0839164	+	1.10020i	0.00559443	+	0.0733467i
$226$	2.37819	+	5.63456i	0.158195	+	0.374806i
$227$	4.93818	+	8.55319i	0.327759	+	0.567695i	0.982067	−	0.188533i	$-0.0603733\pi$
$227$	4.93818	+	8.55319i	0.327759	+	0.567695i	−0.654308	+	0.756228i	$0.727040\pi$
$228$	5.42567	+	5.28241i	0.359324	+	0.349836i
$229$	1.67919	−	2.90845i	0.110964	−	0.192196i	−0.805195	−	0.593010i	$-0.797939\pi$
$229$	1.67919	−	2.90845i	0.110964	−	0.192196i	0.916159	+	0.400814i	$0.131273\pi$
$230$	−5.89463	+	1.04618i	−0.388680	+	0.0689832i
$231$	0.967386	−	3.35052i	0.0636493	−	0.220448i
$232$	−6.49776	−	2.53995i	−0.426599	−	0.166756i
$233$	−17.2096	−	9.93598i	−1.12744	−	0.650927i	−0.184150	−	0.982898i	$-0.558953\pi$
$233$	−17.2096	−	9.93598i	−1.12744	−	0.650927i	−0.943290	+	0.331971i	$0.892286\pi$
$234$	2.11943	+	0.264619i	0.138552	+	0.0172987i
$235$	−0.106043	+	0.466031i	−0.00691750	+	0.0304005i
$236$	0.244727	−	0.964776i	0.0159304	−	0.0628016i
$237$		−	10.1079i		−	0.656576i
$238$	−10.0618	−	4.31696i	−0.652206	−	0.279827i
$239$			6.74480i			0.436285i	0.975917	+	0.218142i	$0.0699997\pi$
$239$			6.74480i			0.436285i	−0.975917	+	0.218142i	$0.930000\pi$
$240$	−11.2047	−	9.83876i	−0.723258	−	0.635089i
$241$	−1.18354	+	0.683317i	−0.0762385	+	0.0440163i	−0.537635	−	0.843178i	$-0.680682\pi$
$241$	−1.18354	+	0.683317i	−0.0762385	+	0.0440163i	0.461396	+	0.887194i	$0.347349\pi$
$242$	−1.81778	+	14.5593i	−0.116851	+	0.935905i
$243$	1.14430	−	1.98198i	0.0734067	−	0.127144i
$244$	6.39025	+	22.6332i	0.409094	+	1.44894i
$245$	−11.0624	−	11.0735i	−0.706751	−	0.707462i
$246$	5.27931	−	6.97625i	0.336596	−	0.444789i
$247$	7.77157	−	13.4607i	0.494493	−	0.856487i
$248$	−16.0709	+	2.44476i	−1.02051	+	0.155243i
$249$	−11.2890	−	19.5531i	−0.715412	−	1.23913i
$250$	−15.2309	−	4.24513i	−0.963284	−	0.268486i
$251$		−	15.4536i		−	0.975423i	−0.873005	−	0.487712i	$-0.837832\pi$
$251$		−	15.4536i		−	0.975423i	0.873005	−	0.487712i	$-0.162168\pi$
$252$	−0.577880	−	1.01471i	−0.0364030	−	0.0639207i
$253$	1.49683			0.0941049
$254$	6.08535	−	2.56845i	0.381829	−	0.161159i
$255$	10.6364	+	2.42026i	0.666074	+	0.151562i
$256$	−15.9771	+	0.855744i	−0.998569	+	0.0534840i
$257$	12.5171	−	21.6802i	0.780792	−	1.35237i	−0.150688	−	0.988581i	$-0.548149\pi$
$257$	12.5171	−	21.6802i	0.780792	−	1.35237i	0.931481	−	0.363791i	$-0.118518\pi$
$258$	−13.5516	+	17.9076i	−0.843688	+	1.11488i
$259$	−3.80292	+	13.1713i	−0.236302	+	0.818427i
$260$	−13.9202	+	27.2580i	−0.863297	+	1.69047i
$261$	0.471398	+	0.272162i	0.0291788	+	0.0168464i
$262$	−21.7395	−	2.71426i	−1.34307	−	0.167688i
$263$	−14.1558	−	24.5185i	−0.872883	−	1.51188i	−0.859001	−	0.511974i	$-0.828914\pi$
$263$	−14.1558	−	24.5185i	−0.872883	−	1.51188i	−0.0138820	−	0.999904i	$-0.504419\pi$
$264$	2.32846	+	2.91162i	0.143307	+	0.179198i
$265$	−9.78068	+	10.5551i	−0.600822	+	0.648394i
$266$	−8.43828	+	1.00298i	−0.517384	+	0.0614964i
$267$		−	18.9949i		−	1.16247i
$268$	−1.60938	+	6.34459i	−0.0983085	+	0.387557i
$269$	−1.84643	−	3.19810i	−0.112579	−	0.194992i	0.804231	−	0.594317i	$-0.202578\pi$
$269$	−1.84643	−	3.19810i	−0.112579	−	0.194992i	−0.916809	+	0.399325i	$0.869244\pi$
$270$	10.9286	+	12.9946i	0.665090	+	0.790826i
$271$	0.382982	−	0.663345i	0.0232645	−	0.0402953i	−0.854159	−	0.520012i	$-0.825927\pi$
$271$	0.382982	−	0.663345i	0.0232645	−	0.0402953i	0.877423	+	0.479717i	$0.159261\pi$
$272$	9.97638	−	6.12142i	0.604907	−	0.371166i
$273$	21.7531	−	20.9299i	1.31656	−	1.26674i
$274$	12.3582	−	16.3305i	0.746585	−	0.986562i
$275$	3.56400	+	1.71051i	0.214918	+	0.103148i
$276$	−4.40339	+	4.52281i	−0.265053	+	0.272241i
$277$	9.73148	+	16.8554i	0.584708	+	1.01274i	0.994912	+	0.100750i	$0.0321243\pi$
$277$	9.73148	+	16.8554i	0.584708	+	1.01274i	−0.410204	+	0.911994i	$0.634542\pi$
$278$	−6.03192	−	14.2912i	−0.361770	−	0.857130i
$279$	1.26831			0.0759318
$280$	16.4927	−	2.82677i	0.985628	−	0.168932i
$281$	−7.20046			−0.429544			−0.214772	−	0.976664i	$-0.568901\pi$
$281$	−7.20046			−0.429544			−0.214772	+	0.976664i	$0.568901\pi$
$282$	0.195958	+	0.464276i	0.0116691	+	0.0276472i
$283$	5.91380	+	10.2430i	0.351539	+	0.608883i	0.986519	−	0.163645i	$-0.0523252\pi$
$283$	5.91380	+	10.2430i	0.351539	+	0.608883i	−0.634980	+	0.772528i	$0.718992\pi$
$284$	−6.31735	−	6.15056i	−0.374866	−	0.364968i
$285$	8.08845	−	2.50083i	0.479118	−	0.148137i
$286$	4.61779	−	6.10210i	0.273055	−	0.360825i
$287$	2.35766	+	9.53033i	0.139168	+	0.562558i
$288$	1.24243	+	0.121467i	0.0732107	+	0.00715752i
$289$	4.21875	−	7.30709i	0.248162	−	0.429829i
$290$	−5.96955	+	5.02044i	−0.350544	+	0.294810i
$291$	10.8910	+	18.8637i	0.638441	+	1.10581i
$292$	12.3435	+	3.13107i	0.722348	+	0.183232i
$293$		−	11.8864i		−	0.694410i	−0.937789	−	0.347205i	$-0.887131\pi$
$293$		−	11.8864i		−	0.694410i	0.937789	−	0.347205i	$-0.112869\pi$
$294$	−16.2856	−	2.67459i	−0.949794	−	0.155985i
$295$	−0.816252	−	0.756364i	−0.0475240	−	0.0440372i
$296$	−9.15345	−	11.4460i	−0.532034	−	0.665283i
$297$	−2.12260	−	3.67645i	−0.123166	−	0.213329i
$298$	20.7076	+	2.58542i	1.19956	+	0.149769i
$299$	11.2208	+	6.47834i	0.648916	+	0.374652i
$300$	−15.6531	+	5.73695i	−0.903732	+	0.331223i
$301$	−6.05197	−	24.4637i	−0.348829	−	1.41007i
$302$	13.4785	−	17.8109i	0.775599	−	1.02490i
$303$	8.61306	−	14.9183i	0.494808	−	0.857032i
$304$	4.33011	−	7.98601i	0.248349	−	0.458029i
$305$	25.6386	+	5.83395i	1.46806	+	0.334051i
$306$	−0.841352	+	0.355111i	−0.0480969	+	0.0203003i
$307$	−18.3489			−1.04723			−0.523615	−	0.851955i	$-0.675417\pi$
$307$	−18.3489			−1.04723			−0.523615	+	0.851955i	$0.675417\pi$
$308$	−4.18363	−	0.0247079i	−0.238384	−	0.00140786i
$309$			33.1082i			1.88346i
$310$	−6.19696	+	17.0854i	−0.351964	+	0.970388i
$311$	3.85642	+	6.67951i	0.218677	+	0.378760i	0.954404	−	0.298518i	$-0.0964924\pi$
$311$	3.85642	+	6.67951i	0.218677	+	0.378760i	−0.735726	+	0.677279i	$0.763159\pi$
$312$	4.85338	+	31.9043i	0.274769	+	1.80622i
$313$	−8.58738	+	14.8738i	−0.485387	+	0.840716i	−0.999859	−	0.0167918i	$-0.994655\pi$
$313$	−8.58738	+	14.8738i	−0.485387	+	0.840716i	0.514472	+	0.857507i	$0.327988\pi$
$314$	8.04024	−	10.6246i	0.453737	−	0.599583i
$315$	−1.30533	+	0.0245169i	−0.0735468	+	0.00138137i
$316$	−11.6699	+	3.29486i	−0.656480	+	0.185350i
$317$	9.77351	−	16.9282i	0.548935	−	0.950784i	−0.449413	−	0.893324i	$-0.648367\pi$
$317$	9.77351	−	16.9282i	0.548935	−	0.950784i	0.998348	−	0.0574593i	$-0.0182999\pi$
$318$	−1.87976	+	15.0557i	−0.105412	+	0.844281i
$319$	1.68892	−	0.975096i	0.0945611	−	0.0545949i
$320$	−7.70678	+	16.1433i	−0.430822	+	0.902437i
$321$			26.8725i			1.49988i
$322$	−0.836075	−	7.03410i	−0.0465927	−	0.391995i
$323$			6.64563i			0.369773i
$324$	16.0696	+	4.07624i	0.892755	+	0.226458i
$325$	19.3140	+	28.2478i	1.07135	+	1.56691i
$326$	6.80496	+	0.849625i	0.376892	+	0.0470564i
$327$	−21.4164	−	12.3648i	−1.18433	−	0.683773i
$328$	−9.77520	−	3.82108i	−0.539745	−	0.210984i
$329$	−0.543317	−	0.156870i	−0.0299540	−	0.00864853i
$330$	4.10408	−	0.728395i	0.225922	−	0.0400968i
$331$	−1.08473	+	1.87881i	−0.0596222	+	0.103269i	−0.894296	−	0.447476i	$-0.852323\pi$
$331$	−1.08473	+	1.87881i	−0.0596222	+	0.103269i	0.834674	+	0.550745i	$0.185656\pi$
$332$	−18.8948	+	19.4073i	−1.03699	+	1.06511i
$333$	0.571741	+	0.990284i	0.0313312	+	0.0542672i
$334$	−5.79072	−	13.7198i	−0.316854	−	0.750712i
$335$	5.36786	+	4.97403i	0.293278	+	0.271760i
$336$	12.3821	−	12.5685i	0.675499	−	0.685669i
$337$			0.664494i			0.0361973i	0.999836	+	0.0180986i	$0.00576129\pi$
$337$			0.664494i			0.0361973i	−0.999836	+	0.0180986i	$0.994239\pi$
$338$	44.0889	−	18.6087i	2.39812	−	1.01218i
$339$	6.24374	−	3.60482i	0.339113	−	0.195787i
$340$	−0.672867	−	13.0689i	−0.0364913	−	0.708763i
$341$	2.27204	−	3.93528i	0.123038	−	0.213108i
$342$	−0.427708	+	0.565188i	−0.0231278	+	0.0305619i
$343$	13.8311	−	12.3167i	0.746807	−	0.665041i
$344$	25.0923	+	9.80846i	1.35289	+	0.528837i
$345$	2.08468	+	6.74249i	0.112235	+	0.363003i
$346$	−16.2818	−	2.03285i	−0.875317	−	0.109287i
$347$	−23.4079	+	13.5146i	−1.25660	+	0.725500i	−0.972412	−	0.233268i	$-0.925058\pi$
$347$	−23.4079	+	13.5146i	−1.25660	+	0.725500i	−0.284190	+	0.958768i	$0.591725\pi$
$348$	−2.02213	+	7.97176i	−0.108398	+	0.427331i
$349$	−22.2420			−1.19059			−0.595295	−	0.803508i	$-0.702965\pi$
$349$	−22.2420			−1.19059			−0.595295	+	0.803508i	$0.702965\pi$
$350$	6.04755	−	17.7039i	0.323255	−	0.946312i
$351$		−	36.7468i		−	1.96140i
$352$	2.60255	−	3.63738i	0.138717	−	0.193873i
$353$	−6.08471	−	10.5390i	−0.323856	−	0.560936i	0.657424	−	0.753521i	$-0.271646\pi$
$353$	−6.08471	−	10.5390i	−0.323856	−	0.560936i	−0.981280	+	0.192585i	$0.938313\pi$
$354$	−1.16429	−	0.145367i	−0.0618816	−	0.00772615i
$355$	−9.41776	+	2.91183i	−0.499843	+	0.154544i
$356$	−21.9302	+	6.19177i	−1.16230	+	0.328163i
$357$	−3.58029	+	12.4003i	−0.189489	+	0.656293i
$358$	−21.8894	−	16.5649i	−1.15689	−	0.875482i
$359$	28.3997	+	16.3965i	1.49888	+	0.865377i	0.999999	−	0.00129574i	$-0.000412446\pi$
$359$	28.3997	+	16.3965i	1.49888	+	0.865377i	0.498877	+	0.866673i	$0.333746\pi$
$360$	0.783883	−	1.15477i	0.0413143	−	0.0608619i
$361$	−6.92105	−	11.9876i	−0.364266	−	0.630927i
$362$	−21.8901	+	9.23920i	−1.15052	+	0.485602i
$363$	17.2963			0.907819
$364$	−31.2551	−	18.2921i	−1.63821	−	0.958767i
$365$	9.67703	−	10.4432i	0.506519	−	0.546625i
$366$	25.5421	−	10.7806i	1.33510	−	0.563510i
$367$	0.00646496	−	0.00373255i	0.000337468	−	0.000194837i	−0.499831	−	0.866123i	$-0.666605\pi$
$367$	0.00646496	−	0.00373255i	0.000337468	−	0.000194837i	0.500169	+	0.865928i	$0.333271\pi$
$368$	6.65710	+	3.60956i	0.347025	+	0.188161i
$369$	0.709169	+	0.409439i	0.0369178	+	0.0213145i
$370$	−16.1337	+	2.86341i	−0.838750	+	0.148862i
$371$	−11.8051	−	12.2694i	−0.612892	−	0.636997i
$372$	5.20691	+	18.4420i	0.269966	+	0.956175i
$373$	−17.5825	+	30.4538i	−0.910388	+	1.57684i	−0.0968723	+	0.995297i	$0.530884\pi$
$373$	−17.5825	+	30.4538i	−0.910388	+	1.57684i	−0.813516	+	0.581542i	$0.802449\pi$
$374$	−0.405359	+	3.24667i	−0.0209606	+	0.167881i
$375$	−2.74133	+	18.4364i	−0.141562	+	0.952051i
$376$	0.472145	−	0.377580i	0.0243490	−	0.0194722i
$377$	16.8810			0.869416
$378$	−16.0913	+	12.0283i	−0.827645	+	0.618671i
$379$	17.3297			0.890165			0.445082	−	0.895490i	$-0.353174\pi$
$379$	17.3297			0.890165			0.445082	+	0.895490i	$0.353174\pi$
$380$	−5.52388	−	8.52318i	−0.283369	−	0.437230i
$381$	−3.89322	−	6.74326i	−0.199456	−	0.345468i
$382$	−15.5357	−	1.93969i	−0.794876	−	0.0992432i
$383$	−5.87162	−	3.38998i	−0.300026	−	0.173220i	0.342429	−	0.939544i	$-0.388751\pi$
$383$	−5.87162	−	3.38998i	−0.300026	−	0.173220i	−0.642455	+	0.766324i	$0.722084\pi$
$384$	3.33444	+	18.5643i	0.170160	+	0.947357i
$385$	−2.26228	+	4.09405i	−0.115296	+	0.208652i
$386$	2.26680	−	2.99543i	0.115377	−	0.152463i
$387$	−1.82039	−	1.05100i	−0.0925356	−	0.0534254i
$388$	18.2287	−	18.7230i	0.925420	−	0.950517i
$389$	4.97969	−	2.87502i	0.252480	−	0.145770i	−0.368419	−	0.929660i	$-0.620101\pi$
$389$	4.97969	−	2.87502i	0.252480	−	0.145770i	0.620899	+	0.783890i	$0.286768\pi$
$390$	33.9183	+	12.3023i	1.71752	+	0.622951i
$391$	−5.53977			−0.280158
$392$	2.22071	+	19.6741i	0.112163	+	0.993690i
$393$			25.8264i			1.30277i
$394$	−12.9893	+	5.48242i	−0.654392	+	0.276200i
$395$	−3.00803	+	13.2194i	−0.151350	+	0.665142i
$396$	−0.243428	+	0.250029i	−0.0122327	+	0.0125644i
$397$	−4.00016	−	2.30949i	−0.200762	−	0.115910i	0.396249	−	0.918143i	$-0.370312\pi$
$397$	−4.00016	−	2.30949i	−0.200762	−	0.115910i	−0.597011	+	0.802233i	$0.703645\pi$
$398$	0.843452	+	0.638286i	0.0422784	+	0.0319944i
$399$	2.40564	+	9.72425i	0.120432	+	0.486821i
$400$	11.7259	+	16.2019i	0.586297	+	0.810096i
$401$	8.29423	−	14.3660i	0.414194	−	0.717406i	−0.581149	−	0.813797i	$-0.697397\pi$
$401$	8.29423	−	14.3660i	0.414194	−	0.717406i	0.995344	+	0.0963914i	$0.0307301\pi$
$402$	7.65667	+	0.955964i	0.381880	+	0.0476791i
$403$	34.0641	−	19.6669i	1.69685	−	0.979679i
$404$	−20.0312	−	5.08115i	−0.996590	−	0.252797i
$405$	12.5982	−	13.5957i	0.626011	−	0.675578i
$406$	−5.52567	−	7.39212i	−0.274234	−	0.366865i
$407$	4.09684			0.203073
$408$	−8.61761	−	10.7759i	−0.426635	−	0.533487i
$409$	14.1437	−	8.16589i	0.699363	−	0.403777i	−0.107747	−	0.994178i	$-0.534364\pi$
$409$	14.1437	−	8.16589i	0.699363	−	0.403777i	0.807110	+	0.590401i	$0.201030\pi$
$410$	−8.98056	+	7.55272i	−0.443518	+	0.373002i
$411$	−20.9076	−	12.0710i	−1.03130	−	0.595419i
$412$	38.2245	−	10.7923i	1.88319	−	0.531698i
$413$	0.948826	−	0.912921i	0.0466887	−	0.0449219i
$414$	−0.471138	−	0.356535i	−0.0231552	−	0.0175228i
$415$	8.94531	+	28.9319i	0.439108	+	1.42021i
$416$	35.2525	−	16.0032i	1.72839	−	0.784622i
$417$	−15.8363	+	9.14308i	−0.775506	+	0.447739i
$418$	0.987460	+	2.33955i	0.0482982	+	0.114431i
$419$		−	25.5119i		−	1.24634i	−0.782087	−	0.623170i	$-0.785845\pi$
$419$		−	25.5119i		−	1.24634i	0.782087	−	0.623170i	$-0.214155\pi$
$420$	−5.71537	−	18.8796i	−0.278881	−	0.921230i
$421$			5.65879i			0.275793i	0.990447	+	0.137896i	$0.0440341\pi$
$421$			5.65879i			0.275793i	−0.990447	+	0.137896i	$0.955966\pi$
$422$	17.0386	−	7.19153i	0.829428	−	0.350078i
$423$	−0.0408492	+	0.0235843i	−0.00198616	+	0.00114671i
$424$	17.9950	−	2.73746i	0.873916	−	0.132943i
$425$	−13.1904	−	6.33061i	−0.639827	−	0.307080i
$426$	−6.27201	+	8.28805i	−0.303880	+	0.401557i
$427$	−8.63018	+	29.8905i	−0.417644	+	1.44650i
$428$	31.0251	−	8.75962i	1.49966	−	0.423412i
$429$	−7.81239	−	4.51048i	−0.377186	−	0.217768i
$430$	23.0525	−	19.3873i	1.11169	−	0.934940i
$431$	−8.15466	+	4.70809i	−0.392796	+	0.226781i	−0.683371	−	0.730071i	$-0.739487\pi$
$431$	−8.15466	+	4.70809i	−0.392796	+	0.226781i	0.290575	+	0.956852i	$0.406153\pi$
$432$	−0.574547	−	21.4695i	−0.0276429	−	1.03295i
$433$	2.39361			0.115030			0.0575148	−	0.998345i	$-0.481682\pi$
$433$	2.39361			0.115030			0.0575148	+	0.998345i	$0.481682\pi$
$434$	−19.7623	−	8.47895i	−0.948620	−	0.407003i
$435$	6.74453	+	6.24969i	0.323376	+	0.299650i
$436$	−7.29441	+	28.7564i	−0.349339	+	1.37718i
$437$	−3.72356	+	2.14980i	−0.178122	+	0.102839i
$438$	1.85984	−	14.8962i	0.0888666	−	0.711766i
$439$	17.7739	−	30.7852i	0.848300	−	1.46930i	−0.0344242	−	0.999407i	$-0.510960\pi$
$439$	17.7739	−	30.7852i	0.848300	−	1.46930i	0.882724	−	0.469891i	$-0.155707\pi$
$440$	−2.17876	−	4.50086i	−0.103868	−	0.214570i
$441$	0.0595608	−	1.54361i	0.00283623	−	0.0735051i
$442$	−17.0904	+	22.5838i	−0.812909	+	1.07420i
$443$	−10.5455	−	6.08847i	−0.501033	−	0.289272i	0.228107	−	0.973636i	$-0.426746\pi$
$443$	−10.5455	−	6.08847i	−0.501033	−	0.289272i	−0.729140	+	0.684364i	$0.760080\pi$
$444$	−12.0521	+	12.3790i	−0.571969	+	0.587480i
$445$	−5.65275	+	24.8423i	−0.267966	+	1.17764i
$446$	−2.25241	−	5.33656i	−0.106655	−	0.252693i
$447$		−	24.6004i		−	1.16356i
$448$	−18.5469	−	10.1986i	−0.876261	−	0.481837i
$449$	5.65182			0.266726			0.133363	−	0.991067i	$-0.457422\pi$
$449$	5.65182			0.266726			0.133363	+	0.991067i	$0.457422\pi$
$450$	−0.714362	−	1.38732i	−0.0336753	−	0.0653988i
$451$	2.54079	−	1.46693i	0.119641	−	0.0690749i
$452$	−6.19715	−	6.03353i	−0.291490	−	0.283793i
$453$	−22.8029	−	13.1653i	−1.07138	−	0.618559i
$454$	−11.1376	−	8.42844i	−0.522715	−	0.395566i
$455$	−34.6781	+	20.8994i	−1.62573	+	0.979778i
$456$	−9.97410	−	3.89883i	−0.467080	−	0.182579i
$457$	−17.8188	−	10.2877i	−0.833529	−	0.481238i	0.0215305	−	0.999768i	$-0.493146\pi$
$457$	−17.8188	−	10.2877i	−0.833529	−	0.481238i	−0.855059	+	0.518530i	$0.826479\pi$
$458$	−0.588422	+	4.71289i	−0.0274952	+	0.220219i
$459$	7.85574	+	13.6065i	0.366675	+	0.635099i
$460$	7.10488	−	4.60468i	0.331267	−	0.214694i
$461$	1.04586			0.0487106			0.0243553	−	0.999703i	$-0.492247\pi$
$461$	1.04586			0.0487106			0.0243553	+	0.999703i	$0.492247\pi$
$462$	0.582110	+	4.89743i	0.0270822	+	0.227849i
$463$	15.3524			0.713488			0.356744	−	0.934202i	$-0.383887\pi$
$463$	15.3524			0.713488			0.356744	+	0.934202i	$0.383887\pi$
$464$	9.86280	−	0.263940i	0.457869	−	0.0122531i
$465$	20.8909	+	4.75363i	0.968791	+	0.220444i
$466$	27.8867	+	3.48176i	1.29183	+	0.161289i
$467$	8.02282	−	13.8959i	0.371252	−	0.643027i	−0.618507	−	0.785780i	$-0.712262\pi$
$467$	8.02282	−	13.8959i	0.371252	−	0.643027i	0.989758	+	0.142753i	$0.0455954\pi$
$468$	−2.90696	+	0.820750i	−0.134374	+	0.0379392i
$469$	−6.23970	+	6.00358i	−0.288122	+	0.277220i
$470$	−0.118116	−	0.665513i	−0.00544827	−	0.0306978i
$471$	−13.6025	−	7.85341i	−0.626770	−	0.361866i
$472$	0.211695	+	1.39160i	0.00974404	+	0.0640536i
$473$	−6.52205	+	3.76551i	−0.299884	+	0.173138i
$474$	5.55855	+	13.1697i	0.255313	+	0.604903i
$475$	−11.3226	+	0.863618i	−0.519517	+	0.0396255i
$476$	15.4836	+	0.0914440i	0.709689	+	0.00419133i
$477$	−1.42016			−0.0650246
$478$	−3.70912	−	8.78789i	−0.169651	−	0.401949i
$479$	−10.5683	−	18.3049i	−0.482879	−	0.836371i	0.516928	−	0.856029i	$-0.327076\pi$
$479$	−10.5683	−	18.3049i	−0.482879	−	0.836371i	−0.999807	+	0.0196582i	$0.993742\pi$
$480$	20.0093	+	6.65735i	0.913294	+	0.303865i
$481$	30.7115	+	17.7313i	1.40032	+	0.808477i
$482$	1.16628	−	1.54116i	0.0531226	−	0.0701979i
$483$	−8.10608	+	2.00532i	−0.368839	+	0.0912454i
$484$	−5.63806	−	19.9691i	−0.256276	−	0.907686i
$485$	−8.62993	−	27.9118i	−0.391865	−	1.26741i
$486$	−0.400983	+	3.21162i	−0.0181890	+	0.145682i
$487$	8.49641	+	14.7162i	0.385009	+	0.666855i	0.991770	−	0.128029i	$-0.0408650\pi$
$487$	8.49641	+	14.7162i	0.385009	+	0.666855i	−0.606761	+	0.794884i	$0.707532\pi$
$488$	−20.7725	−	25.9750i	−0.940326	−	1.17583i
$489$		−	8.08424i		−	0.365582i
$490$	20.5030	+	8.34440i	0.926229	+	0.376961i
$491$	13.6290			0.615070			0.307535	−	0.951537i	$-0.400496\pi$
$491$	13.6290			0.615070			0.307535	+	0.951537i	$0.400496\pi$
$492$	−3.04208	+	11.9927i	−0.137148	+	0.540671i
$493$	−6.25067	+	3.60883i	−0.281516	+	0.162533i
$494$	−2.72331	+	21.8120i	−0.122527	+	0.981367i
$495$	0.115245	+	0.372737i	0.00517988	+	0.0167533i
$496$	19.5946	−	12.0231i	0.879824	−	0.539853i
$497$	−2.80099	−	11.3224i	−0.125642	−	0.507879i
$498$	25.4613	+	19.2680i	1.14095	+	0.863418i
$499$	−7.46818	+	12.9353i	−0.334322	+	0.579062i	−0.983354	−	0.181699i	$-0.941840\pi$
$499$	−7.46818	+	12.9353i	−0.334322	+	0.579062i	0.649033	+	0.760760i	$0.275174\pi$
$500$	22.1790	−	2.84475i	0.991874	−	0.127221i
$501$	−15.2030	+	8.77748i	−0.679222	+	0.392149i
$502$	8.49830	+	20.1347i	0.379298	+	0.898657i
$503$			24.2100i			1.07947i	0.841834	+	0.539736i	$0.181476\pi$
$503$			24.2100i			1.07947i	−0.841834	+	0.539736i	$0.818524\pi$
$504$	1.31094	+	1.00429i	0.0583939	+	0.0447346i
$505$	−15.7041	+	16.9475i	−0.698821	+	0.754153i
$506$	−1.95024	+	0.823141i	−0.0866988	+	0.0365931i
$507$	−28.2068	−	48.8555i	−1.25271	−	2.16975i
$508$	−6.51624	+	6.69295i	−0.289111	+	0.296952i
$509$	4.43051	−	7.67386i	0.196379	−	0.340138i	−0.750973	−	0.660333i	$-0.770415\pi$
$509$	4.43051	−	7.67386i	0.196379	−	0.340138i	0.947352	+	0.320195i	$0.103748\pi$
$510$	−15.1892	+	2.69579i	−0.672589	+	0.119372i
$511$	11.6800	+	12.1394i	0.516695	+	0.537016i
$512$	20.3462	−	9.90114i	0.899183	−	0.437573i
$513$	10.5605	+	6.09710i	0.466257	+	0.269193i
$514$	−4.38621	+	35.1308i	−0.193468	+	1.54955i
$515$	9.85277	−	43.3002i	0.434165	−	1.90803i
$516$	7.80882	−	30.7844i	0.343764	−	1.35521i
$517$			0.168995i			0.00743237i
$518$	−2.28835	−	19.2524i	−0.100544	−	0.845903i
$519$			19.3427i			0.849050i
$520$	3.14705	−	43.1699i	0.138007	−	1.89313i
$521$	−26.5478	+	15.3274i	−1.16308	+	0.671505i	−0.952041	−	0.305972i	$-0.901019\pi$
$521$	−26.5478	+	15.3274i	−1.16308	+	0.671505i	−0.211041	+	0.977477i	$0.567685\pi$
$522$	−0.763859	−	0.0953707i	−0.0334332	−	0.00417426i
$523$	9.06880	−	15.7076i	0.396551	−	0.686846i	−0.596747	−	0.802430i	$-0.703540\pi$
$523$	9.06880	−	15.7076i	0.396551	−	0.686846i	0.993298	+	0.115583i	$0.0368737\pi$
$524$	29.8174	−	8.41862i	1.30258	−	0.367769i
$525$	−21.5925	−	4.48853i	−0.942372	−	0.195896i
$526$	31.9271	+	24.1609i	1.39209	+	1.05347i
$527$	−8.40880	+	14.5645i	−0.366293	+	0.634439i
$528$	−4.63495	−	2.51312i	−0.201710	−	0.109370i
$529$	9.70794	+	16.8146i	0.422084	+	0.731072i
$530$	6.93889	−	19.1310i	0.301406	−	0.830997i
$531$		−	0.109824i		−	0.00476598i
$532$	10.4428	−	5.94720i	0.452752	−	0.257844i
$533$	25.3957			1.10001
$534$	10.4457	+	24.7487i	0.452031	+	1.07098i
$535$	7.99706	−	35.1448i	0.345743	−	1.51944i
$536$	−1.39215	−	9.15148i	−0.0601319	−	0.395284i
$537$	−16.1800	+	28.0246i	−0.698218	+	1.20935i
$538$	4.16445	+	3.15146i	0.179542	+	0.135869i
$539$	−4.68277	−	2.95000i	−0.201701	−	0.127066i
$540$	−21.3850	−	10.9210i	−0.920263	−	0.469964i
$541$	23.5104	+	13.5737i	1.01079	+	0.583580i	0.911423	−	0.411471i	$-0.134985\pi$
$541$	23.5104	+	13.5737i	1.01079	+	0.583580i	0.0993669	+	0.995051i	$0.468318\pi$
$542$	−0.134204	+	1.07489i	−0.00576457	+	0.0461706i
$543$	14.0046	+	24.2567i	0.600997	+	1.04096i
$544$	−9.63205	+	13.4619i	−0.412971	+	0.577176i
$545$	24.3295	+	22.5445i	1.04216	+	0.965699i
$546$	−16.8326	+	39.2324i	−0.720367	+	1.67899i
$547$		−	23.0006i		−	0.983436i	−0.870754	−	0.491718i	$-0.836369\pi$
$547$		−	23.0006i		−	0.983436i	0.870754	−	0.491718i	$-0.163631\pi$
$548$	−7.12112	+	28.0733i	−0.304199	+	1.19923i
$549$	1.29749	+	2.24731i	0.0553753	+	0.0959129i
$550$	−5.58424	−	0.268723i	−0.238113	−	0.0114584i
$551$	−2.80093	+	4.85135i	−0.119324	+	0.206674i
$552$	3.25004	−	8.31436i	0.138331	−	0.353882i
$553$	−15.4118	−	4.44978i	−0.655374	−	0.189224i
$554$	−21.9485	−	16.6096i	−0.932501	−	0.705674i
$555$	5.70580	+	18.4543i	0.242198	+	0.783340i
$556$	15.7181	+	15.3031i	0.666597	+	0.648997i
$557$	−5.52574	−	9.57086i	−0.234133	−	0.405530i	0.724887	−	0.688867i	$-0.241892\pi$
$557$	−5.52574	−	9.57086i	−0.234133	−	0.405530i	−0.959020	+	0.283337i	$0.908558\pi$
$558$	−1.65250	+	0.697473i	−0.0699559	+	0.0295264i
$559$	−65.1890			−2.75720
$560$	−19.9341	+	12.7528i	−0.842368	+	0.538902i
$561$	3.85701			0.162843
$562$	9.38158	−	3.95970i	0.395738	−	0.167030i
$563$	19.8308	+	34.3480i	0.835770	+	1.44760i	0.893402	+	0.449259i	$0.148312\pi$
$563$	19.8308	+	34.3480i	0.835770	+	1.44760i	−0.0576315	+	0.998338i	$0.518355\pi$
$564$	−0.510632	−	0.497150i	−0.0215015	−	0.0209338i
$565$	−9.23856	+	2.85643i	−0.388669	+	0.120171i
$566$	−13.3380	−	10.0936i	−0.560639	−	0.424266i
$567$	15.2059	+	15.8039i	0.638587	+	0.663703i
$568$	11.6133	+	4.53959i	0.487283	+	0.190477i
$569$	14.0325	−	24.3050i	0.588272	−	1.01892i	−0.406187	−	0.913790i	$-0.633142\pi$
$569$	14.0325	−	24.3050i	0.588272	−	1.01892i	0.994459	−	0.105127i	$-0.0335248\pi$
$570$	−9.16329	+	7.70640i	−0.383808	+	0.322785i
$571$	1.96859	+	3.40970i	0.0823829	+	0.142691i	0.904273	−	0.426955i	$-0.140414\pi$
$571$	1.96859	+	3.40970i	0.0823829	+	0.142691i	−0.821890	+	0.569646i	$0.807080\pi$
$572$	−2.66089	+	10.4899i	−0.111258	+	0.438606i
$573$			18.4563i			0.771022i
$574$	−8.31278	−	11.1207i	−0.346969	−	0.464168i
$575$	−0.719907	−	9.43847i	−0.0300222	−	0.393611i
$576$	−1.68557	+	0.524978i	−0.0702322	+	0.0218741i
$577$	−20.6956	−	35.8459i	−0.861571	−	1.49228i	−0.870412	−	0.492324i	$-0.836148\pi$
$577$	−20.6956	−	35.8459i	−0.861571	−	1.49228i	0.00884126	−	0.999961i	$-0.497186\pi$
$578$	−1.47833	+	11.8405i	−0.0614904	+	0.492500i
$579$	−3.83499	−	2.21413i	−0.159377	−	0.0920161i
$580$	5.01696	−	9.82399i	0.208318	−	0.407919i
$581$	−34.7830	+	8.60480i	−1.44304	+	0.356987i
$582$	−24.5636	−	18.5886i	−1.01820	−	0.770524i
$583$	−2.54406	+	4.40643i	−0.105364	+	0.182496i
$584$	−17.8043	+	2.70845i	−0.736749	+	0.112077i
$585$	−0.749300	+	3.29297i	−0.0309798	+	0.136147i
$586$	6.53660	+	15.4869i	0.270024	+	0.639760i
$587$	15.3447			0.633342			0.316671	−	0.948535i	$-0.397435\pi$
$587$	15.3447			0.633342			0.316671	+	0.948535i	$0.397435\pi$
$588$	22.6895	−	5.47106i	0.935700	−	0.225623i
$589$			13.0527i			0.537827i
$590$	1.47945	+	0.536602i	0.0609079	+	0.0220915i
$591$	8.31016	+	14.3936i	0.341834	+	0.592075i
$592$	18.2206	+	9.87940i	0.748860	+	0.406041i
$593$	−20.8596	+	36.1298i	−0.856600	+	1.48367i	0.0185530	+	0.999828i	$0.494094\pi$
$593$	−20.8596	+	36.1298i	−0.856600	+	1.48367i	−0.875153	+	0.483847i	$0.839239\pi$
$594$	4.78733	+	3.62283i	0.196427	+	0.148647i
$595$	8.37268	−	15.1521i	0.343246	−	0.621175i
$596$	−28.4020	+	8.01900i	−1.16339	+	0.328471i
$597$	0.623454	−	1.07985i	0.0255163	−	0.0441955i
$598$	−18.1823	−	2.27013i	−0.743531	−	0.0928326i
$599$	19.4999	−	11.2583i	0.796746	−	0.460001i	−0.0455861	−	0.998960i	$-0.514516\pi$
$599$	19.4999	−	11.2583i	0.796746	−	0.460001i	0.842332	+	0.538959i	$0.181182\pi$
$600$	17.2398	−	16.0828i	0.703810	−	0.656576i
$601$		−	8.10668i		−	0.330679i	−0.986237	−	0.165339i	$-0.947128\pi$
$601$		−	8.10668i		−	0.330679i	0.986237	−	0.165339i	$-0.0528719\pi$
$602$	21.3384	+	28.5460i	0.869687	+	1.16345i
$603$			0.722231i			0.0294115i
$604$	−7.76667	+	30.6182i	−0.316021	+	1.24584i
$605$	−22.6207	−	5.14725i	−0.919663	−	0.209265i
$606$	−3.01818	+	24.1737i	−0.122605	+	0.981991i
$607$	10.6003	+	6.12010i	0.430254	+	0.248407i	0.699455	−	0.714677i	$-0.253426\pi$
$607$	10.6003	+	6.12010i	0.430254	+	0.248407i	−0.269201	+	0.963084i	$0.586760\pi$
$608$	−1.25007	+	12.7863i	−0.0506969	+	0.518554i
$609$	−7.83997	+	7.54329i	−0.317692	+	0.305670i
$610$	−36.6131	+	6.49811i	−1.48242	+	0.263101i
$611$	−0.731415	+	1.26685i	−0.0295899	+	0.0512512i
$612$	0.900925	−	0.925357i	0.0364177	−	0.0374054i
$613$	−6.93580	−	12.0132i	−0.280134	−	0.485207i	0.691283	−	0.722584i	$-0.257046\pi$
$613$	−6.93580	−	12.0132i	−0.280134	−	0.485207i	−0.971418	+	0.237377i	$0.923712\pi$
$614$	23.9071	−	10.0905i	0.964812	−	0.407220i
$615$	10.1464	+	9.40200i	0.409144	+	0.379125i
$616$	5.46449	−	2.26848i	0.220171	−	0.0913997i
$617$		−	1.91696i		−	0.0771739i	−0.999255	−	0.0385870i	$-0.987714\pi$
$617$		−	1.91696i		−	0.0771739i	0.999255	−	0.0385870i	$-0.0122857\pi$
$618$	−18.2070	−	43.1372i	−0.732392	−	1.73523i
$619$	−19.2245	+	11.0993i	−0.772699	+	0.446118i	−0.833837	−	0.552011i	$-0.813861\pi$
$619$	−19.2245	+	11.0993i	−0.772699	+	0.446118i	0.0611375	+	0.998129i	$0.480527\pi$
$620$	−1.32158	−	25.6687i	−0.0530759	−	1.03088i
$621$	−5.08251	+	8.80316i	−0.203954	+	0.353259i
$622$	−8.69780	−	6.58210i	−0.348750	−	0.263918i
$623$	−28.9621	−	8.36213i	−1.16034	−	0.335022i
$624$	−23.8684	−	38.8995i	−0.955502	−	1.55723i
$625$	9.07175	−	23.2960i	0.362870	−	0.931840i
$626$	3.00918	−	24.1016i	0.120271	−	0.963296i
$627$	2.59249	−	1.49678i	0.103534	−	0.0597755i
$628$	−4.63301	+	18.2645i	−0.184877	+	0.728833i
$629$	−15.1624			−0.604565
$630$	1.68724	−	0.749772i	0.0672214	−	0.0298716i
$631$		−	4.47405i		−	0.178109i	−0.996027	−	0.0890545i	$-0.971615\pi$
$631$		−	4.47405i		−	0.178109i	0.996027	−	0.0890545i	$-0.0283845\pi$
$632$	13.3929	−	10.7104i	0.532741	−	0.426038i
$633$	−10.9008	−	18.8807i	−0.433268	−	0.750442i
$634$	−3.42483	+	27.4307i	−0.136017	+	1.08941i
$635$	3.08496	+	9.97769i	0.122423	+	0.395952i
$636$	−5.83031	−	20.6500i	−0.231187	−	0.818826i
$637$	−22.3361	−	42.3815i	−0.884988	−	1.67922i
$638$	−1.66428	+	2.19924i	−0.0658896	+	0.0870687i
$639$	−0.842519	−	0.486429i	−0.0333295	−	0.0192428i
$640$	1.16370	−	25.2714i	0.0459995	−	0.998941i
$641$	−16.7611	−	29.0311i	−0.662025	−	1.14666i	−0.980083	−	0.198590i	$-0.936364\pi$
$641$	−16.7611	−	29.0311i	−0.662025	−	1.14666i	0.318058	−	0.948071i	$-0.396969\pi$
$642$	−14.7778	−	35.0125i	−0.583233	−	1.38183i
$643$	−1.67625			−0.0661048			−0.0330524	−	0.999454i	$-0.510523\pi$
$643$	−1.67625			−0.0661048			−0.0330524	+	0.999454i	$0.510523\pi$
$644$	4.95755	+	8.70505i	0.195355	+	0.343027i
$645$	−26.0452	−	24.1343i	−1.02553	−	0.950288i
$646$	−3.65459	−	8.65869i	−0.143788	−	0.340672i
$647$	18.8153	−	10.8630i	0.739707	−	0.427070i	−0.0822561	−	0.996611i	$-0.526213\pi$
$647$	18.8153	−	10.8630i	0.739707	−	0.427070i	0.821963	+	0.569541i	$0.192879\pi$
$648$	−23.1789	+	3.52605i	−0.910554	+	0.138516i
$649$	−0.340761	−	0.196738i	−0.0133760	−	0.00772265i
$650$	−40.6986	−	26.1833i	−1.59633	−	1.02699i
$651$	−7.03206	+	24.3554i	−0.275608	+	0.954563i
$652$	−9.33351	+	2.63522i	−0.365528	+	0.103203i
$653$	−4.45603	+	7.71807i	−0.174378	+	0.302031i	−0.939946	−	0.341324i	$-0.889125\pi$
$653$	−4.45603	+	7.71807i	−0.174378	+	0.302031i	0.765568	+	0.643355i	$0.222458\pi$
$654$	34.7034	+	4.33285i	1.35701	+	0.169428i
$655$	7.68575	−	33.7767i	0.300307	−	1.31977i
$656$	14.8375	−	0.397069i	0.579309	−	0.0155030i
$657$	1.40511			0.0548186
$658$	0.794162	−	0.0943943i	0.0309596	−	0.00367987i
$659$	11.6434			0.453562			0.226781	−	0.973946i	$-0.427180\pi$
$659$	11.6434			0.453562			0.226781	+	0.973946i	$0.427180\pi$
$660$	−4.94671	+	3.20597i	−0.192550	+	0.124792i
$661$	3.07763	+	5.33061i	0.119706	+	0.207337i	0.919651	−	0.392736i	$-0.128472\pi$
$661$	3.07763	+	5.33061i	0.119706	+	0.207337i	−0.799945	+	0.600073i	$0.795138\pi$
$662$	0.380110	−	3.04444i	0.0147734	−	0.118326i
$663$	28.9136	+	16.6933i	1.12291	+	0.648314i
$664$	13.9459	−	35.6767i	0.541204	−	1.38452i
$665$	−0.252313	−	13.4336i	−0.00978430	−	0.520934i
$666$	−1.28951	−	0.975842i	−0.0499675	−	0.0378131i
$667$	−4.04406	−	2.33484i	−0.156587	−	0.0904053i
$668$	15.0896	+	14.6912i	0.583835	+	0.568420i
$669$	−5.91351	+	3.41417i	−0.228630	+	0.131999i
$670$	−9.72919	−	3.52882i	−0.375871	−	0.136330i
$671$	9.29720			0.358914
$672$	−9.22108	+	23.1849i	−0.355711	+	0.894377i
$673$		−	29.9527i		−	1.15459i	−0.816535	−	0.577296i	$-0.804108\pi$
$673$		−	29.9527i		−	1.15459i	0.816535	−	0.577296i	$-0.195892\pi$
$674$	−0.365420	−	0.865778i	−0.0140755	−	0.0333485i
$675$	−22.1615	+	15.1526i	−0.852996	+	0.583222i
$676$	−47.2107	+	48.4910i	−1.81580	+	1.86504i
$677$	19.0794	+	11.0155i	0.733281	+	0.423360i	0.819621	−	0.572906i	$-0.194184\pi$
$677$	19.0794	+	11.0155i	0.733281	+	0.423360i	−0.0863404	+	0.996266i	$0.527517\pi$
$678$	−6.15268	+	8.13035i	−0.236292	+	0.312244i
$679$	33.5566	−	8.30142i	1.28779	−	0.318579i
$680$	8.06360	+	16.6577i	0.309225	+	0.638793i
$681$	−8.23259	+	14.2593i	−0.315474	+	0.546416i
$682$	−0.796165	+	6.37678i	−0.0304867	+	0.244180i
$683$	−1.35827	+	0.784199i	−0.0519728	+	0.0300065i	−0.525761	−	0.850632i	$-0.676219\pi$
$683$	−1.35827	+	0.784199i	−0.0519728	+	0.0300065i	0.473788	+	0.880639i	$0.342886\pi$
$684$	0.246457	−	0.971598i	0.00942353	−	0.0371500i
$685$	23.7515	+	22.0089i	0.907498	+	0.840916i
$686$	−11.2474	+	23.6537i	−0.429429	+	0.903101i
$687$	5.59887			0.213610
$688$	−38.0870	+	1.01925i	−1.45205	+	0.0388586i
$689$	−38.1424	+	22.0215i	−1.45311	+	0.838954i
$690$	−6.42401	−	7.63847i	−0.244558	−	0.290792i
$691$	−36.1431	−	20.8673i	−1.37495	−	0.793828i	−0.383404	−	0.923581i	$-0.625248\pi$
$691$	−36.1431	−	20.8673i	−1.37495	−	0.793828i	−0.991546	+	0.129753i	$0.958581\pi$
$692$	22.3317	−	6.30513i	0.848926	−	0.239685i
$693$	−0.448119	+	0.110858i	−0.0170226	+	0.00421115i
$694$	23.0665	−	30.4809i	0.875593	−	1.15704i
$695$	23.4322	−	7.24490i	0.888834	−	0.274815i
$696$	−1.74919	−	11.4985i	−0.0663030	−	0.435851i
$697$	−9.40347	+	5.42910i	−0.356182	+	0.205642i
$698$	28.9795	−	12.2314i	1.09689	−	0.462966i
$699$		−	33.1291i		−	1.25306i
$700$	1.85633	+	26.3923i	0.0701629	+	0.997536i
$701$			39.2592i			1.48280i	0.671065	+	0.741399i	$0.265837\pi$
$701$			39.2592i			1.48280i	−0.671065	+	0.741399i	$0.734163\pi$
$702$	20.2079	+	47.8779i	0.762698	+	1.80703i
$703$	−10.1914	+	5.88402i	−0.384377	+	0.221920i
$704$	−1.39063	+	6.17040i	−0.0524112	+	0.232556i
$705$	−0.761238	+	0.235364i	−0.0286699	+	0.00886432i
$706$	13.7235	+	10.3853i	0.516491	+	0.390857i
$707$	−18.9546	−	19.7001i	−0.712860	−	0.740897i
$708$	1.59692	−	0.450872i	0.0600158	−	0.0169448i
$709$	−7.57554	−	4.37374i	−0.284505	−	0.164259i	0.350956	−	0.936392i	$-0.385857\pi$
$709$	−7.57554	−	4.37374i	−0.284505	−	0.164259i	−0.635461	+	0.772133i	$0.719190\pi$
$710$	10.6692	−	8.97291i	0.400409	−	0.336747i
$711$	−1.15873	+	0.668993i	−0.0434558	+	0.0250892i
$712$	25.1682	−	20.1273i	0.943218	−	0.754302i
$713$	−10.8807			−0.407484
$714$	−2.15439	−	18.1254i	−0.0806260	−	0.678326i
$715$	8.87505	+	8.22389i	0.331908	+	0.307556i
$716$	37.6294	+	9.54515i	1.40628	+	0.356719i
$717$	−9.73798	+	5.62223i	−0.363672	+	0.209966i
$718$	−46.0191	−	5.74566i	−1.71742	−	0.214426i
$719$	−1.13078	+	1.95857i	−0.0421709	+	0.0730422i	−0.886340	−	0.463034i	$-0.846761\pi$
$719$	−1.13078	+	1.95857i	−0.0421709	+	0.0730422i	0.844170	+	0.536076i	$0.180094\pi$
$720$	−0.386296	+	1.93565i	−0.0143964	+	0.0721372i
$721$	50.4811	+	14.5752i	1.88001	+	0.542810i
$722$	15.6098	+	11.8128i	0.580937	+	0.439626i
$723$	−1.97312	−	1.13918i	−0.0733809	−	0.0423665i
$724$	23.4401	−	24.0758i	0.871144	−	0.894769i
$725$	−6.96089	−	10.1807i	−0.258521	−	0.378102i
$726$	−22.5356	+	9.51162i	−0.836373	+	0.353009i
$727$			14.0073i			0.519502i	0.965676	+	0.259751i	$0.0836406\pi$
$727$			14.0073i			0.519502i	−0.965676	+	0.259751i	$0.916359\pi$
$728$	50.7820	+	6.64513i	1.88211	+	0.246285i
$729$	28.6832			1.06234
$730$	−6.86536	+	18.9283i	−0.254098	+	0.700567i
$731$	24.1381	−	13.9361i	0.892780	−	0.515447i
$732$	−27.3506	+	28.0923i	−1.01091	+	1.03832i
$733$	0.730569	+	0.421794i	0.0269842	+	0.0155793i	0.513431	−	0.858131i	$-0.328374\pi$
$733$	0.730569	+	0.421794i	0.0269842	+	0.0155793i	−0.486447	+	0.873710i	$0.661707\pi$
$734$	−0.00637067	+	0.00841842i	−0.000235146	+	0.000310730i
$735$	6.76649	−	25.2021i	0.249586	−	0.929595i
$736$	−10.6586	−	1.04205i	−0.392881	−	0.0384104i
$737$	2.24092	+	1.29380i	0.0825454	+	0.0476576i
$738$	−1.14915	−	0.143475i	−0.0423006	−	0.00528139i
$739$	−24.2171	−	41.9452i	−0.890840	−	1.54298i	−0.838870	−	0.544331i	$-0.816784\pi$
$739$	−24.2171	−	41.9452i	−0.890840	−	1.54298i	−0.0519693	−	0.998649i	$-0.516550\pi$
$740$	19.4461	−	12.6031i	0.714854	−	0.463298i
$741$	25.9124			0.951916
$742$	22.1283	+	9.49409i	0.812356	+	0.348539i
$743$	−23.9932			−0.880226			−0.440113	−	0.897942i	$-0.645062\pi$
$743$	−23.9932			−0.880226			−0.440113	+	0.897942i	$0.645062\pi$
$744$	−16.9259	−	21.1650i	−0.620532	−	0.775945i
$745$	−7.32092	+	32.1734i	−0.268218	+	1.17874i
$746$	6.16125	−	49.3477i	0.225579	−	1.80675i
$747$	−1.49434	+	2.58826i	−0.0546749	+	0.0946996i
$748$	−1.25727	−	4.45304i	−0.0459703	−	0.162819i
$749$	40.9732	+	11.8301i	1.49713	+	0.432261i
$750$	−6.56687	−	25.5285i	−0.239788	−	0.932170i
$751$	15.5172	+	8.95889i	0.566232	+	0.326914i	0.755643	−	0.654983i	$-0.227324\pi$
$751$	15.5172	+	8.95889i	0.566232	+	0.326914i	−0.189411	+	0.981898i	$0.560658\pi$
$752$	−0.407525	+	0.751597i	−0.0148609	+	0.0274079i
$753$	22.3116	−	12.8816i	0.813078	−	0.469431i
$754$	−21.9945	+	9.28325i	−0.800992	+	0.338076i
$755$	25.9046	+	24.0040i	0.942766	+	0.873596i
$756$	14.3509	−	24.5208i	0.521936	−	0.891815i
$757$	−9.11215			−0.331187			−0.165593	−	0.986194i	$-0.552954\pi$
$757$	−9.11215			−0.331187			−0.165593	+	0.986194i	$0.552954\pi$
$758$	−22.5791	+	9.52998i	−0.820108	+	0.346145i
$759$	1.24770	+	2.16109i	0.0452888	+	0.0784425i
$760$	11.8842	+	8.06726i	0.431087	+	0.292630i
$761$	−0.873293	−	0.504196i	−0.0316568	−	0.0182771i	0.484088	−	0.875019i	$-0.339151\pi$
$761$	−0.873293	−	0.504196i	−0.0316568	−	0.0182771i	−0.515745	+	0.856742i	$0.672485\pi$
$762$	8.78081	+	6.64491i	0.318095	+	0.240720i
$763$	−28.2810	+	27.2108i	−1.02384	+	0.985099i
$764$	21.3084	−	6.01619i	0.770910	−	0.217658i
$765$	−0.426522	−	1.37950i	−0.0154209	−	0.0498759i
$766$	9.51445	+	1.18791i	0.343771	+	0.0429211i
$767$	−1.70298	−	2.94965i	−0.0614911	−	0.106506i
$768$	−14.5534	−	22.3540i	−0.525152	−	0.806632i
$769$			11.3063i			0.407716i	0.979000	+	0.203858i	$0.0653481\pi$
$769$			11.3063i			0.407716i	−0.979000	+	0.203858i	$0.934652\pi$
$770$	0.696136	−	6.57828i	0.0250870	−	0.237065i
$771$	41.7351			1.50305
$772$	−1.30619	+	5.14936i	−0.0470110	+	0.185329i
$773$	17.9809	−	10.3813i	0.646729	−	0.373389i	−0.140473	−	0.990085i	$-0.544862\pi$
$773$	17.9809	−	10.3813i	0.646729	−	0.373389i	0.787202	+	0.616695i	$0.211529\pi$
$774$	2.94978	+	0.368291i	0.106028	+	0.0132380i
$775$	−25.9072	−	12.4339i	−0.930615	−	0.446641i
$776$	−13.4542	+	34.4188i	−0.482976	+	1.23556i
$777$	−22.1864	+	5.48860i	−0.795934	+	0.196902i
$778$	−4.90706	+	6.48436i	−0.175927	+	0.232475i
$779$	−4.21370	+	7.29834i	−0.150971	+	0.261490i
$780$	−50.9579	+	2.62362i	−1.82459	+	0.0939406i
$781$	−3.01856	+	1.74277i	−0.108013	+	0.0623611i
$782$	7.21784	−	3.04645i	0.258109	−	0.108941i
$783$			13.2438i			0.473295i
$784$	−13.7126	−	24.4124i	−0.489736	−	0.871871i
$785$	15.4527	+	14.3190i	0.551532	+	0.511067i
$786$	−14.2025	−	33.6495i	−0.506587	−	1.20024i
$787$	−1.98158	−	3.43220i	−0.0706357	−	0.122345i	0.828544	−	0.559923i	$-0.189169\pi$
$787$	−1.98158	−	3.43220i	−0.0706357	−	0.122345i	−0.899180	+	0.437579i	$0.855836\pi$
$788$	13.9090	−	14.2862i	0.495489	−	0.508926i
$789$	23.5995	−	40.8756i	0.840165	−	1.45521i
$790$	−3.35048	−	18.8780i	−0.119205	−	0.671648i
$791$	−2.74770	−	11.1070i	−0.0976969	−	0.394918i
$792$	0.179668	−	0.459633i	0.00638424	−	0.0163323i
$793$	69.6954	+	40.2386i	2.47496	+	1.42892i
$794$	6.48190	+	0.809290i	0.230034	+	0.0287206i
$795$	−23.3920	−	5.32276i	−0.829630	−	0.188779i
$796$	−1.44995	−	0.367798i	−0.0513922	−	0.0130362i
$797$		−	21.7688i		−	0.771090i	−0.922689	−	0.385545i	$-0.874013\pi$
$797$		−	21.7688i		−	0.771090i	0.922689	−	0.385545i	$-0.125987\pi$
$798$	−8.48192	−	11.3469i	−0.300257	−	0.401677i
$799$		−	0.625448i		−	0.0221268i
$800$	−24.1877	−	14.6614i	−0.855164	−	0.518357i
$801$	−2.17751	+	1.25719i	−0.0769385	+	0.0444205i
$802$	−2.90646	+	23.2789i	−0.102631	+	0.822006i
$803$	2.51710	−	4.35974i	0.0888265	−	0.153852i
$804$	−10.5017	+	2.96504i	−0.370366	+	0.104569i
$805$	11.1982	−	0.210327i	0.394685	−	0.00741306i
$806$	−33.5673	+	44.3570i	−1.18236	+	1.56241i
$807$	3.07823	−	5.33165i	0.108359	−	0.187683i
$808$	28.8932	−	4.39532i	1.01646	−	0.154627i
$809$	13.0987	+	22.6876i	0.460525	+	0.797652i	0.998987	−	0.0449975i	$-0.0143280\pi$
$809$	13.0987	+	22.6876i	0.460525	+	0.797652i	−0.538462	+	0.842649i	$0.680995\pi$
$810$	−8.93780	+	24.6421i	−0.314042	+	0.865836i
$811$			35.2550i			1.23797i	0.785403	+	0.618985i	$0.212456\pi$
$811$			35.2550i			1.23797i	−0.785403	+	0.618985i	$0.787544\pi$
$812$	11.2646	+	6.59261i	0.395309	+	0.231355i
$813$	1.27696			0.0447850
$814$	−5.33783	+	2.25295i	−0.187091	+	0.0789658i
$815$	−2.40581	+	10.5729i	−0.0842719	+	0.370351i
$816$	17.1539	+	9.30106i	0.600508	+	0.325602i
$817$	10.8163	−	18.7344i	0.378414	−	0.655432i
$818$	−13.9375	+	18.4174i	−0.487312	+	0.643950i
$819$	−3.83907	−	1.10844i	−0.134148	−	0.0387321i
$820$	7.54748	−	14.7792i	0.263569	−	0.516110i
$821$	−15.6779	−	9.05167i	−0.547164	−	0.315905i	0.200813	−	0.979630i	$-0.435642\pi$
$821$	−15.6779	−	9.05167i	−0.547164	−	0.315905i	−0.747977	+	0.663724i	$0.768975\pi$
$822$	33.8789	+	4.22991i	1.18166	+	0.147535i
$823$	−5.91819	−	10.2506i	−0.206295	−	0.357314i	0.744249	−	0.667902i	$-0.232807\pi$
$823$	−5.91819	−	10.2506i	−0.206295	−	0.357314i	−0.950545	+	0.310588i	$0.899474\pi$
$824$	−43.8683	+	35.0820i	−1.52822	+	1.22214i
$825$	0.501229	+	6.57145i	0.0174506	+	0.228788i
$826$	−0.734202	+	1.71124i	−0.0255462	+	0.0595416i
$827$			36.3034i			1.26239i	0.775623	+	0.631196i	$0.217436\pi$
$827$			36.3034i			1.26239i	−0.775623	+	0.631196i	$0.782564\pi$
$828$	0.809919	+	0.205445i	0.0281466	+	0.00713972i
$829$	−12.1073	−	20.9704i	−0.420502	−	0.728331i	0.575486	−	0.817811i	$-0.304813\pi$
$829$	−12.1073	−	20.9704i	−0.420502	−	0.728331i	−0.995989	+	0.0894800i	$0.971479\pi$
$830$	−27.5653	−	32.7765i	−0.956805	−	1.13769i
$831$	−16.2236	+	28.1002i	−0.562792	+	0.974784i
$832$	−37.1304	+	40.2370i	−1.28726	+	1.39497i
$833$	17.3309	+	10.9180i	0.600481	+	0.378285i
$834$	15.6053	−	20.6214i	0.540368	−	0.714060i
$835$	22.4952	−	6.95520i	0.778480	−	0.240695i
$836$	−2.57315	−	2.50521i	−0.0889943	−	0.0866446i
$837$	15.4295	+	26.7246i	0.533320	+	0.923738i
$838$	14.0296	+	33.2398i	0.484644	+	1.14825i
$839$	9.71534			0.335411			0.167705	−	0.985837i	$-0.446364\pi$
$839$	9.71534			0.335411			0.167705	+	0.985837i	$0.446364\pi$
$840$	17.8290	+	21.4555i	0.615158	+	0.740285i
$841$	22.9160			0.790206
$842$	−3.11190	−	7.37292i	−0.107243	−	0.254088i
$843$	−6.00205	−	10.3959i	−0.206722	−	0.358052i
$844$	−18.2451	+	18.7399i	−0.628022	+	0.645053i
$845$	22.3508	+	72.2892i	0.768891	+	2.48682i
$846$	0.0402534	−	0.0531922i	0.00138394	−	0.00182879i
$847$	7.61434	−	26.3721i	0.261632	−	0.906157i
$848$	−21.9406	+	13.4626i	−0.753442	+	0.462306i
$849$	−9.85907	+	17.0764i	−0.338362	+	0.586061i
$850$	20.6673	+	0.994545i	0.708881	+	0.0341126i
$851$	−4.90488	−	8.49551i	−0.168137	−	0.291222i
$852$	3.61411	−	14.2477i	0.123817	−	0.488119i
$853$		−	30.1601i		−	1.03266i	−0.856389	−	0.516331i	$-0.827297\pi$
$853$		−	30.1601i		−	1.03266i	0.856389	−	0.516331i	$-0.172703\pi$
$854$	−5.19308	−	43.6907i	−0.177704	−	1.49506i
$855$	−0.822024	−	0.761713i	−0.0281126	−	0.0260500i
$856$	−35.6060	+	28.4745i	−1.21699	+	0.973237i
$857$	−13.3793	−	23.1737i	−0.457029	−	0.791597i	0.541774	−	0.840524i	$-0.317753\pi$
$857$	−13.3793	−	23.1737i	−0.457029	−	0.791597i	−0.998802	+	0.0489275i	$0.984420\pi$
$858$	12.6593	+	1.58056i	0.432181	+	0.0539594i
$859$	24.3388	+	14.0520i	0.830428	+	0.479448i	0.853999	−	0.520274i	$-0.174170\pi$
$859$	24.3388	+	14.0520i	0.830428	+	0.479448i	−0.0235714	+	0.999722i	$0.507504\pi$
$860$	−19.3739	+	37.9371i	−0.660644	+	1.29364i
$861$	−11.7944	+	11.3481i	−0.401952	+	0.386742i
$862$	8.03573	−	10.6187i	0.273698	−	0.361673i
$863$	21.9016	−	37.9347i	0.745539	−	1.29131i	−0.204404	−	0.978887i	$-0.565526\pi$
$863$	21.9016	−	37.9347i	0.745539	−	1.29131i	0.949943	−	0.312424i	$-0.101141\pi$
$864$	12.5551	+	27.6569i	0.427135	+	0.940907i
$865$	5.75625	−	25.2971i	0.195718	−	0.860127i
$866$	−3.11867	+	1.31630i	−0.105977	+	0.0447298i
$867$	14.0664			0.477720
$868$	30.4113	+	0.179605i	1.03223	+	0.00609619i
$869$			4.79371i			0.162615i
$870$	−12.2244	−	4.43384i	−0.414446	−	0.150321i
$871$	11.1992	+	19.3976i	0.379470	+	0.657262i
$872$	−6.30985	−	41.4785i	−0.213678	−	1.40464i
$873$	1.44165	−	2.49701i	0.0487924	−	0.0845110i
$874$	3.66925	−	4.84867i	0.124114	−	0.164009i
$875$	26.9037	+	12.2960i	0.909510	+	0.415682i
$876$	5.76853	+	20.4312i	0.194900	+	0.690306i
$877$	17.7221	−	30.6955i	0.598431	−	1.03651i	−0.394622	−	0.918844i	$-0.629124\pi$
$877$	17.7221	−	30.6955i	0.598431	−	1.03651i	0.993053	−	0.117670i	$-0.0375424\pi$
$878$	−6.22830	+	49.8848i	−0.210195	+	1.68353i
$879$	17.1613	−	9.90808i	0.578836	−	0.334191i
$880$	5.31387	+	4.66608i	0.179130	+	0.157294i
$881$		−	11.0583i		−	0.372564i	−0.982496	−	0.186282i	$-0.940356\pi$
$881$		−	11.0583i		−	0.372564i	0.982496	−	0.186282i	$-0.0596438\pi$
$882$	0.771262	+	2.04394i	0.0259697	+	0.0688230i
$883$		−	18.2084i		−	0.612760i	−0.951909	−	0.306380i	$-0.900882\pi$
$883$		−	18.2084i		−	0.612760i	0.951909	−	0.306380i	$-0.0991178\pi$
$884$	9.84797	−	38.8232i	0.331223	−	1.30577i
$885$	0.411622	−	1.80896i	0.0138365	−	0.0608077i
$886$	17.0881	+	2.13352i	0.574086	+	0.0716768i
$887$	−24.4553	−	14.1193i	−0.821128	−	0.474078i	0.0296774	−	0.999560i	$-0.490552\pi$
$887$	−24.4553	−	14.1193i	−0.821128	−	0.474078i	−0.850805	+	0.525481i	$0.823885\pi$
$888$	8.89541	−	22.7565i	0.298510	−	0.763658i
$889$	−11.9956	+	2.96752i	−0.402318	+	0.0995276i
$890$	−6.29628	−	35.4759i	−0.211052	−	1.18915i
$891$	3.27693	−	5.67581i	0.109781	−	0.190147i
$892$	5.86939	+	5.71442i	0.196522	+	0.191333i
$893$	−0.242715	−	0.420395i	−0.00812216	−	0.0140680i
$894$	13.5283	+	32.0522i	0.452456	+	1.07199i
$895$	29.5007	−	31.8365i	0.986100	−	1.06418i
$896$	29.7735	+	3.08846i	0.994663	+	0.103178i
$897$			21.6005i			0.721218i
$898$	−7.36384	+	3.10807i	−0.245734	+	0.103718i
$899$	−12.2769	+	7.08810i	−0.409459	+	0.236401i
$900$	1.69367	+	1.41471i	0.0564557	+	0.0471571i
$901$	9.41555	−	16.3082i	0.313677	−	0.543305i
$902$	−2.50374	+	3.30852i	−0.0833653	+	0.110162i
$903$	30.2754	−	29.1298i	1.00750	−	0.969379i
$904$	11.3923	+	4.45321i	0.378903	+	0.148112i
$905$	−11.0972	−	35.8916i	−0.368882	−	1.19308i
$906$	36.9501	+	4.61337i	1.22759	+	0.153269i
$907$	28.3649	−	16.3765i	0.941840	−	0.543771i	0.0513031	−	0.998683i	$-0.483663\pi$
$907$	28.3649	−	16.3765i	0.941840	−	0.543771i	0.890536	+	0.454912i	$0.150329\pi$
$908$	19.1464	+	4.85670i	0.635394	+	0.161175i
$909$	−2.28024			−0.0756307
$910$	33.6895	−	46.3004i	1.11680	−	1.53484i
$911$		−	6.20517i		−	0.205587i	−0.994703	−	0.102793i	$-0.967222\pi$
$911$		−	6.20517i		−	0.205587i	0.994703	−	0.102793i	$-0.0327780\pi$
$912$	15.1394	−	0.405149i	0.501317	−	0.0134158i
$913$	5.35387	+	9.27318i	0.177187	+	0.306897i
$914$	28.8738	+	3.60501i	0.955061	+	0.119243i
$915$	12.9485	+	41.8794i	0.428064	+	1.38449i
$916$	−1.82506	−	6.46408i	−0.0603018	−	0.213579i
$917$	39.3782	+	11.3695i	1.30038	+	0.375456i
$918$	−17.7179	−	13.4081i	−0.584778	−	0.442533i
$919$	−42.5171	−	24.5473i	−1.40251	−	0.809740i	−0.407861	−	0.913044i	$-0.633725\pi$
$919$	−42.5171	−	24.5473i	−1.40251	−	0.809740i	−0.994650	+	0.103304i	$0.967058\pi$
$920$	−6.72482	+	9.90664i	−0.221711	+	0.326612i
$921$	−15.2950	−	26.4918i	−0.503988	−	0.872934i
$922$	−1.36267	+	0.575143i	−0.0448770	+	0.0189413i
$923$	−30.1710			−0.993091
$924$	−3.45165	−	6.06082i	−0.113551	−	0.199386i
$925$	−1.97039	−	25.8332i	−0.0647862	−	0.849390i
$926$	−20.0029	+	8.44266i	−0.657336	+	0.277443i
$927$	3.79541	−	2.19128i	0.124658	−	0.0719711i
$928$	−12.7052	+	5.76767i	−0.417070	+	0.189333i
$929$	16.5181	+	9.53671i	0.541940	+	0.312889i	0.745865	−	0.666097i	$-0.232036\pi$
$929$	16.5181	+	9.53671i	0.541940	+	0.312889i	−0.203925	+	0.978987i	$0.565370\pi$
$930$	−29.8331	+	5.29480i	−0.978267	+	0.173623i
$931$	15.8859	+	0.612964i	0.520639	+	0.0200891i
$932$	−38.2486	+	10.7991i	−1.25288	+	0.353736i
$933$	−6.42915	+	11.1356i	−0.210481	+	0.364564i
$934$	−2.81135	+	22.5171i	−0.0919901	+	0.736783i
$935$	−5.04435	−	1.14782i	−0.164968	−	0.0375377i
$936$	3.33617	−	2.66797i	0.109046	−	0.0872054i
$937$	−4.46637			−0.145910			−0.0729549	−	0.997335i	$-0.523243\pi$
$937$	−4.46637			−0.145910			−0.0729549	+	0.997335i	$0.523243\pi$
$938$	4.82828	−	11.2535i	0.157649	−	0.367440i
$939$	−28.6325			−0.934388
$940$	0.519876	+	0.802152i	0.0169565	+	0.0261633i
$941$	−12.8629	−	22.2793i	−0.419320	−	0.726283i	0.576552	−	0.817061i	$-0.304398\pi$
$941$	−12.8629	−	22.2793i	−0.419320	−	0.726283i	−0.995871	+	0.0907779i	$0.971065\pi$
$942$	22.0417	+	2.75198i	0.718156	+	0.0896645i
$943$	−6.08386	−	3.51252i	−0.198118	−	0.114383i
$944$	−1.04109	−	1.69672i	−0.0338847	−	0.0552235i
$945$	−16.3964	−	27.2063i	−0.533374	−	0.885021i
$946$	6.42693	−	8.49276i	0.208957	−	0.276123i
$947$	14.4410	+	8.33751i	0.469269	+	0.270933i	0.715934	−	0.698168i	$-0.246001\pi$
$947$	14.4410	+	8.33751i	0.469269	+	0.270933i	−0.246665	+	0.969101i	$0.579335\pi$
$948$	−14.4846	−	14.1022i	−0.470438	−	0.458017i
$949$	37.7383	−	21.7882i	1.22504	−	0.707275i
$950$	14.2775	−	7.35178i	0.463222	−	0.238523i
$951$	32.5874			1.05672
$952$	−20.2241	+	8.39564i	−0.655466	+	0.272104i
$953$			13.1368i			0.425544i	0.977102	+	0.212772i	$0.0682492\pi$
$953$			13.1368i			0.425544i	−0.977102	+	0.212772i	$0.931751\pi$
$954$	1.85034	−	0.780978i	0.0599071	−	0.0252851i
$955$	5.49246	−	24.1378i	0.177732	−	0.781081i
$956$	9.66533	+	9.41013i	0.312599	+	0.304345i
$957$	2.81564	+	1.62561i	0.0910167	+	0.0525485i
$958$	23.8359	+	18.0379i	0.770102	+	0.582778i
$959$	−27.6092	+	26.5644i	−0.891547	+	0.857809i
$960$	−29.7314	+	2.32961i	−0.959576	+	0.0751877i
$961$	−1.01574	+	1.75931i	−0.0327657	+	0.0567519i
$962$	−49.7653	−	6.21338i	−1.60450	−	0.200327i
$963$	3.08057	−	1.77857i	0.0992699	−	0.0573135i
$964$	−0.672042	+	2.64936i	−0.0216450	+	0.0853302i
$965$	4.35663	+	4.03699i	0.140245	+	0.129955i
$966$	9.45875	−	7.07049i	0.304330	−	0.227489i
$967$	−34.0366			−1.09454			−0.547272	−	0.836955i	$-0.684334\pi$
$967$	−34.0366			−1.09454			−0.547272	+	0.836955i	$0.684334\pi$
$968$	18.3274	+	22.9175i	0.589064	+	0.736597i
$969$	−9.59481	+	5.53957i	−0.308230	+	0.177957i
$970$	26.5934	+	31.6209i	0.853863	+	1.01529i
$971$	31.6711	+	18.2853i	1.01637	+	0.586804i	0.913052	−	0.407844i	$-0.133719\pi$
$971$	31.6711	+	18.2853i	1.01637	+	0.586804i	0.103323	+	0.994648i	$0.467052\pi$
$972$	−1.24370	−	4.40498i	−0.0398917	−	0.141290i
$973$	6.96912	+	28.1711i	0.223420	+	0.903124i
$974$	−19.1629	−	14.5016i	−0.614018	−	0.464661i
$975$	−24.6841	+	51.4314i	−0.790523	+	1.64712i
$976$	41.3490	+	22.4199i	1.32355	+	0.717643i
$977$	21.9380	−	12.6659i	0.701859	−	0.405218i	−0.106180	−	0.994347i	$-0.533862\pi$
$977$	21.9380	−	12.6659i	0.701859	−	0.405218i	0.808039	+	0.589128i	$0.200529\pi$
$978$	4.44571	+	10.5331i	0.142158	+	0.336810i
$979$			9.00843i			0.287911i
$980$	−31.3024	+	0.403015i	−0.999917	+	0.0128739i
$981$			3.27347i			0.104514i
$982$	−17.7575	+	7.49493i	−0.566664	+	0.239173i
$983$	−39.3227	+	22.7030i	−1.25420	+	0.724113i	−0.971941	−	0.235225i	$-0.924417\pi$
$983$	−39.3227	+	22.7030i	−1.25420	+	0.724113i	−0.282259	+	0.959338i	$0.591084\pi$
$984$	−2.63148	−	17.2983i	−0.0838884	−	0.551450i
$985$	−6.58490	−	21.2976i	−0.209812	−	0.678597i
$986$	6.15951	−	8.13938i	0.196159	−	0.259211i
$987$	−0.226404	−	0.915190i	−0.00720653	−	0.0291308i
$988$	−8.44667	−	29.9167i	−0.268724	−	0.951778i
$989$	15.6169	+	9.01640i	0.496587	+	0.286705i
$990$	−0.355131	−	0.422269i	−0.0112868	−	0.0134206i
$991$	13.6639	−	7.88884i	0.434047	−	0.250597i	−0.267022	−	0.963690i	$-0.586040\pi$
$991$	13.6639	−	7.88884i	0.434047	−	0.250597i	0.701069	+	0.713093i	$0.252706\pi$
$992$	−18.9183	+	26.4406i	−0.600657	+	0.839489i
$993$	−3.61677			−0.114775
$994$	9.87590	+	13.2118i	0.313244	+	0.419052i
$995$	−1.13673	+	1.22674i	−0.0360369	+	0.0388902i
$996$	−43.7698	−	11.1027i	−1.38690	−	0.351803i
$997$	1.31350	−	0.758348i	0.0415989	−	0.0240171i	−0.479056	−	0.877784i	$-0.659021\pi$
$997$	1.31350	−	0.758348i	0.0415989	−	0.0240171i	0.520655	+	0.853767i	$0.325688\pi$
$998$	2.61699	−	20.9605i	0.0828394	−	0.663492i
$999$	−13.9109	+	24.0943i	−0.440121	+	0.762311i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.ba.b.19.6	✓	80
4.3	odd	2		1120.2.bq.b.719.12		80
5.4	even	2	inner	280.2.ba.b.19.35	yes	80
7.3	odd	6	inner	280.2.ba.b.59.22	yes	80
8.3	odd	2	inner	280.2.ba.b.19.19	yes	80
8.5	even	2		1120.2.bq.b.719.11		80
20.19	odd	2		1120.2.bq.b.719.30		80
28.3	even	6		1120.2.bq.b.1039.29		80
35.24	odd	6	inner	280.2.ba.b.59.19	yes	80
40.19	odd	2	inner	280.2.ba.b.19.22	yes	80
40.29	even	2		1120.2.bq.b.719.29		80
56.3	even	6	inner	280.2.ba.b.59.35	yes	80
56.45	odd	6		1120.2.bq.b.1039.30		80
140.59	even	6		1120.2.bq.b.1039.11		80
280.59	even	6	inner	280.2.ba.b.59.6	yes	80
280.269	odd	6		1120.2.bq.b.1039.12		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.6	✓	80	1.1	even	1	trivial
280.2.ba.b.19.19	yes	80	8.3	odd	2	inner
280.2.ba.b.19.22	yes	80	40.19	odd	2	inner
280.2.ba.b.19.35	yes	80	5.4	even	2	inner
280.2.ba.b.59.6	yes	80	280.59	even	6	inner
280.2.ba.b.59.19	yes	80	35.24	odd	6	inner
280.2.ba.b.59.22	yes	80	7.3	odd	6	inner
280.2.ba.b.59.35	yes	80	56.3	even	6	inner
1120.2.bq.b.719.11		80	8.5	even	2
1120.2.bq.b.719.12		80	4.3	odd	2
1120.2.bq.b.719.29		80	40.29	even	2
1120.2.bq.b.719.30		80	20.19	odd	2
1120.2.bq.b.1039.11		80	140.59	even	6
1120.2.bq.b.1039.12		80	280.269	odd	6
1120.2.bq.b.1039.29		80	28.3	even	6
1120.2.bq.b.1039.30		80	56.45	odd	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.ba (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.30291 + 0.549923i) q^{2} +(0.833565 + 1.44378i) q^{3} +(1.39517 - 1.43300i) q^{4} +(-0.660510 - 2.13629i) q^{5} +(-1.88003 - 1.42272i) q^{6} +(2.56833 - 0.635367i) q^{7} +(-1.02974 + 2.63432i) q^{8} +(0.110340 - 0.191114i) q^{9} +O(q^{10})\)	\(q+(-1.30291 + 0.549923i) q^{2} +(0.833565 + 1.44378i) q^{3} +(1.39517 - 1.43300i) q^{4} +(-0.660510 - 2.13629i) q^{5} +(-1.88003 - 1.42272i) q^{6} +(2.56833 - 0.635367i) q^{7} +(-1.02974 + 2.63432i) q^{8} +(0.110340 - 0.191114i) q^{9} +(2.03538 + 2.42017i) q^{10} +(-0.395322 - 0.684718i) q^{11} +(3.23190 + 0.819810i) q^{12} -6.84388i q^{13} +(-2.99691 + 2.24021i) q^{14} +(2.53375 - 2.73436i) q^{15} +(-0.107006 - 3.99857i) q^{16} +(1.46309 + 2.53414i) q^{17} +(-0.0386651 + 0.309683i) q^{18} +(1.96683 + 1.13555i) q^{19} +(-3.98283 - 2.03397i) q^{20} +(3.05820 + 3.17847i) q^{21} +(0.891613 + 0.674732i) q^{22} +(-0.946588 + 1.63954i) q^{23} +(-4.66172 + 0.709156i) q^{24} +(-4.12745 + 2.82208i) q^{25} +(3.76361 + 8.91699i) q^{26} +5.36929 q^{27} +(2.67277 - 4.56687i) q^{28} +2.46658i q^{29} +(-1.79756 + 4.95600i) q^{30} +(2.87365 + 4.97731i) q^{31} +(2.33833 + 5.15095i) q^{32} +(0.659054 - 1.14151i) q^{33} +(-3.29986 - 2.49718i) q^{34} +(-3.05373 - 5.06702i) q^{35} +(-0.119925 - 0.424753i) q^{36} +(-2.59082 + 4.48744i) q^{37} +(-3.18708 - 0.397918i) q^{38} +(9.88103 - 5.70482i) q^{39} +(6.30782 + 0.459835i) q^{40} +3.71071i q^{41} +(-5.73248 - 2.45950i) q^{42} -9.52516i q^{43} +(-1.53275 - 0.388799i) q^{44} +(-0.481155 - 0.109485i) q^{45} +(0.331703 - 2.65673i) q^{46} +(-0.185107 - 0.106871i) q^{47} +(5.68384 - 3.48756i) q^{48} +(6.19262 - 3.26366i) q^{49} +(3.82579 - 5.94671i) q^{50} +(-2.43916 + 4.22474i) q^{51} +(-9.80732 - 9.54837i) q^{52} +(-3.21770 - 5.57322i) q^{53} +(-6.99572 + 2.95270i) q^{54} +(-1.20164 + 1.29679i) q^{55} +(-0.970960 + 7.42006i) q^{56} +3.78622i q^{57} +(-1.35643 - 3.21375i) q^{58} +(0.430991 - 0.248833i) q^{59} +(-0.383353 - 7.44577i) q^{60} +(-5.87951 + 10.1836i) q^{61} +(-6.48126 - 4.90472i) q^{62} +(0.161961 - 0.560949i) q^{63} +(-5.87926 - 5.42534i) q^{64} +(-14.6205 + 4.52045i) q^{65} +(-0.230945 + 1.84972i) q^{66} +(-2.83429 + 1.63638i) q^{67} +(5.67269 + 1.43894i) q^{68} -3.15617 q^{69} +(6.76522 + 4.92258i) q^{70} -4.40847i q^{71} +(0.389833 + 0.487468i) q^{72} +(3.18360 + 5.51416i) q^{73} +(0.907874 - 7.27150i) q^{74} +(-7.51495 - 3.60674i) q^{75} +(4.37131 - 1.23419i) q^{76} +(-1.45036 - 1.50741i) q^{77} +(-9.73693 + 12.8667i) q^{78} +(-5.25074 - 3.03152i) q^{79} +(-8.47142 + 2.86969i) q^{80} +(4.14463 + 7.17871i) q^{81} +(-2.04061 - 4.83474i) q^{82} -13.5430 q^{83} +(8.82147 + 0.0520984i) q^{84} +(4.44727 - 4.79940i) q^{85} +(5.23810 + 12.4105i) q^{86} +(-3.56120 + 2.05606i) q^{87} +(2.21085 - 0.336321i) q^{88} +(-9.86730 - 5.69689i) q^{89} +(0.687111 - 0.121949i) q^{90} +(-4.34837 - 17.5773i) q^{91} +(1.02882 + 3.64390i) q^{92} +(-4.79075 + 8.29782i) q^{93} +(0.299949 + 0.0374498i) q^{94} +(1.12675 - 4.95176i) q^{95} +(-5.48767 + 7.66967i) q^{96} +13.0656 q^{97} +(-6.27369 + 7.65773i) q^{98} -0.174479 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) \) 80 * q + 6 * q^4 - 52 * q^9	\( 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) \) 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

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