LMFDB - Embedded newform 280.2.bj.e.131.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))

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

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

chi := DirichletCharacter("280.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			131.1
Character	$\chi$	$=$	280.131
Dual form			280.2.bj.e.171.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40227 + 0.183437i) q^{2} +(-0.908317 + 0.524417i) q^{3} +(1.93270 - 0.514454i) q^{4} +(0.500000 - 0.866025i) q^{5} +(1.17750 - 0.901991i) q^{6} +(-2.14799 - 1.54472i) q^{7} +(-2.61579 + 1.07593i) q^{8} +(-0.949974 + 1.64540i) q^{9} +O(q^{10})$	\(q+(-1.40227 + 0.183437i) q^{2} +(-0.908317 + 0.524417i) q^{3} +(1.93270 - 0.514454i) q^{4} +(0.500000 - 0.866025i) q^{5} +(1.17750 - 0.901991i) q^{6} +(-2.14799 - 1.54472i) q^{7} +(-2.61579 + 1.07593i) q^{8} +(-0.949974 + 1.64540i) q^{9} +(-0.542272 + 1.30612i) q^{10} +(-1.17590 - 2.03673i) q^{11} +(-1.48572 + 1.48083i) q^{12} +1.21209 q^{13} +(3.29541 + 1.77208i) q^{14} +1.04883i q^{15} +(3.47067 - 1.98857i) q^{16} +(-4.23538 + 2.44530i) q^{17} +(1.03029 - 2.48155i) q^{18} +(-2.21189 - 1.27704i) q^{19} +(0.520821 - 1.93100i) q^{20} +(2.76113 + 0.276650i) q^{21} +(2.02254 + 2.64033i) q^{22} +(-7.59015 - 4.38218i) q^{23} +(1.81173 - 2.34905i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-1.69968 + 0.222342i) q^{26} -5.13923i q^{27} +(-4.94611 - 1.88043i) q^{28} -5.21449i q^{29} +(-0.192395 - 1.47074i) q^{30} +(-1.68841 - 2.92441i) q^{31} +(-4.50203 + 3.42516i) q^{32} +(2.13619 + 1.23333i) q^{33} +(5.49058 - 4.20589i) q^{34} +(-2.41176 + 1.08785i) q^{35} +(-0.989532 + 3.66879i) q^{36} +(-6.16385 - 3.55870i) q^{37} +(3.33591 + 1.38500i) q^{38} +(-1.10097 + 0.635642i) q^{39} +(-0.376114 + 2.80331i) q^{40} +3.18809i q^{41} +(-3.92259 + 0.118555i) q^{42} +11.6101 q^{43} +(-3.32048 - 3.33144i) q^{44} +(0.949974 + 1.64540i) q^{45} +(11.4473 + 4.75267i) q^{46} +(-5.01045 + 8.67836i) q^{47} +(-2.10963 + 3.62633i) q^{48} +(2.22771 + 6.63606i) q^{49} +(0.859994 + 1.12268i) q^{50} +(2.56471 - 4.44221i) q^{51} +(2.34262 - 0.623566i) q^{52} +(7.03102 - 4.05936i) q^{53} +(0.942723 + 7.20657i) q^{54} -2.35181 q^{55} +(7.28070 + 1.72957i) q^{56} +2.67880 q^{57} +(0.956528 + 7.31210i) q^{58} +(-9.90904 + 5.72099i) q^{59} +(0.539577 + 2.02708i) q^{60} +(-0.560848 + 0.971417i) q^{61} +(2.90404 + 3.79108i) q^{62} +(4.58221 - 2.06687i) q^{63} +(5.68475 - 5.62882i) q^{64} +(0.606047 - 1.04970i) q^{65} +(-3.22174 - 1.33760i) q^{66} +(0.386838 + 0.670023i) q^{67} +(-6.92774 + 6.90494i) q^{68} +9.19235 q^{69} +(3.18237 - 1.96787i) q^{70} +2.53216i q^{71} +(0.714597 - 5.32614i) q^{72} +(11.1488 - 6.43675i) q^{73} +(9.29615 + 3.85957i) q^{74} +(0.908317 + 0.524417i) q^{75} +(-4.93190 - 1.33021i) q^{76} +(-0.620335 + 6.19130i) q^{77} +(1.42725 - 1.09330i) q^{78} +(1.34425 + 0.776104i) q^{79} +(0.0131831 - 3.99998i) q^{80} +(-0.154821 - 0.268158i) q^{81} +(-0.584813 - 4.47056i) q^{82} +4.47506i q^{83} +(5.47876 - 0.885792i) q^{84} +4.89060i q^{85} +(-16.2805 + 2.12972i) q^{86} +(2.73457 + 4.73641i) q^{87} +(5.26730 + 4.06247i) q^{88} +(-9.58219 - 5.53228i) q^{89} +(-1.63394 - 2.13303i) q^{90} +(-2.60356 - 1.87234i) q^{91} +(-16.9239 - 4.56466i) q^{92} +(3.06722 + 1.77086i) q^{93} +(5.43406 - 13.0885i) q^{94} +(-2.21189 + 1.27704i) q^{95} +(2.29306 - 5.47207i) q^{96} +13.3588i q^{97} +(-4.34113 - 8.89688i) q^{98} +4.46831 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−1.40227	+	0.183437i	−0.991552	+	0.129709i
$2$	−1.40227	+	0.183437i	−0.991552	+	0.129709i
$3$	−0.908317	+	0.524417i	−0.524417	+	0.302772i	−0.738740	−	0.673991i	$-0.764579\pi$
$3$	−0.908317	+	0.524417i	−0.524417	+	0.302772i	0.214323	+	0.976763i	$0.431245\pi$
$4$	1.93270	−	0.514454i	0.966351	−	0.257227i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$6$	1.17750	−	0.901991i	0.480714	−	0.368236i
$7$	−2.14799	−	1.54472i	−0.811863	−	0.583848i
$7$	−2.14799	−	1.54472i	−0.811863	−	0.583848i
$8$	−2.61579	+	1.07593i	−0.924823	+	0.380399i
$9$	−0.949974	+	1.64540i	−0.316658	+	0.548468i
$10$	−0.542272	+	1.30612i	−0.171482	+	0.413030i
$11$	−1.17590	−	2.03673i	−0.354549	−	0.614096i	0.632492	−	0.774567i	$-0.282032\pi$
$11$	−1.17590	−	2.03673i	−0.354549	−	0.614096i	−0.987041	+	0.160471i	$0.948699\pi$
$12$	−1.48572	+	1.48083i	−0.428890	+	0.427478i
$13$	1.21209			0.336174			0.168087	−	0.985772i	$-0.446241\pi$
$13$	1.21209			0.336174			0.168087	+	0.985772i	$0.446241\pi$
$14$	3.29541	+	1.77208i	0.880735	+	0.473609i
$15$			1.04883i			0.270808i
$16$	3.47067	−	1.98857i	0.867669	−	0.497143i
$17$	−4.23538	+	2.44530i	−1.02723	+	0.593072i	−0.916190	−	0.400744i	$-0.868752\pi$
$17$	−4.23538	+	2.44530i	−1.02723	+	0.593072i	−0.111041	+	0.993816i	$0.535418\pi$
$18$	1.03029	−	2.48155i	0.242841	−	0.584908i
$19$	−2.21189	−	1.27704i	−0.507442	−	0.292972i	0.224339	−	0.974511i	$-0.427978\pi$
$19$	−2.21189	−	1.27704i	−0.507442	−	0.292972i	−0.731782	+	0.681539i	$0.761311\pi$
$20$	0.520821	−	1.93100i	0.116459	−	0.431784i
$21$	2.76113	+	0.276650i	0.602528	+	0.0603700i
$22$	2.02254	+	2.64033i	0.431207	+	0.562920i
$23$	−7.59015	−	4.38218i	−1.58266	−	0.913747i	−0.994470	−	0.105021i	$-0.966509\pi$
$23$	−7.59015	−	4.38218i	−1.58266	−	0.913747i	−0.588186	−	0.808726i	$-0.700158\pi$
$24$	1.81173	−	2.34905i	0.369819	−	0.479498i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	−1.69968	+	0.222342i	−0.333334	+	0.0436049i
$27$		−	5.13923i		−	0.989045i
$28$	−4.94611	−	1.88043i	−0.934726	−	0.355369i
$29$		−	5.21449i		−	0.968307i	−0.874983	−	0.484153i	$-0.839128\pi$
$29$		−	5.21449i		−	0.968307i	0.874983	−	0.484153i	$-0.160872\pi$
$30$	−0.192395	−	1.47074i	−0.0351263	−	0.268520i
$31$	−1.68841	−	2.92441i	−0.303247	−	0.525239i	0.673623	−	0.739075i	$-0.264737\pi$
$31$	−1.68841	−	2.92441i	−0.303247	−	0.525239i	−0.976869	+	0.213837i	$0.931404\pi$
$32$	−4.50203	+	3.42516i	−0.795855	+	0.605488i
$33$	2.13619	+	1.23333i	0.371863	+	0.214695i
$34$	5.49058	−	4.20589i	0.941626	−	0.721303i
$35$	−2.41176	+	1.08785i	−0.407661	+	0.183881i
$36$	−0.989532	+	3.66879i	−0.164922	+	0.611465i
$37$	−6.16385	−	3.55870i	−1.01333	−	0.585046i	−0.101165	−	0.994870i	$-0.532257\pi$
$37$	−6.16385	−	3.55870i	−1.01333	−	0.585046i	−0.912165	+	0.409823i	$0.865590\pi$
$38$	3.33591	+	1.38500i	0.541157	+	0.224677i
$39$	−1.10097	+	0.635642i	−0.176296	+	0.101784i
$40$	−0.376114	+	2.80331i	−0.0594689	+	0.443242i
$41$			3.18809i			0.497897i	0.968517	+	0.248948i	$0.0800849\pi$
$41$			3.18809i			0.497897i	−0.968517	+	0.248948i	$0.919915\pi$
$42$	−3.92259	+	0.118555i	−0.605268	+	0.0182935i
$43$	11.6101			1.77053			0.885264	−	0.465089i	$-0.153978\pi$
$43$	11.6101			1.77053			0.885264	+	0.465089i	$0.153978\pi$
$44$	−3.32048	−	3.33144i	−0.500581	−	0.502233i
$45$	0.949974	+	1.64540i	0.141614	+	0.245282i
$46$	11.4473	+	4.75267i	1.68781	+	0.700742i
$47$	−5.01045	+	8.67836i	−0.730849	+	1.26587i	0.225671	+	0.974204i	$0.427543\pi$
$47$	−5.01045	+	8.67836i	−0.730849	+	1.26587i	−0.956521	+	0.291665i	$0.905791\pi$
$48$	−2.10963	+	3.62633i	−0.304499	+	0.523416i
$49$	2.22771	+	6.63606i	0.318244	+	0.948009i
$50$	0.859994	+	1.12268i	0.121622	+	0.158771i
$51$	2.56471	−	4.44221i	0.359132	−	0.622034i
$52$	2.34262	−	0.623566i	0.324862	−	0.0864731i
$53$	7.03102	−	4.05936i	0.965784	−	0.557596i	0.0678359	−	0.997696i	$-0.478391\pi$
$53$	7.03102	−	4.05936i	0.965784	−	0.557596i	0.897948	+	0.440101i	$0.145057\pi$
$54$	0.942723	+	7.20657i	0.128288	+	0.980690i
$55$	−2.35181			−0.317118
$56$	7.28070	+	1.72957i	0.972924	+	0.231124i
$57$	2.67880			0.354815
$58$	0.956528	+	7.31210i	0.125598	+	0.960126i
$59$	−9.90904	+	5.72099i	−1.29005	+	0.744809i	−0.978662	−	0.205475i	$-0.934126\pi$
$59$	−9.90904	+	5.72099i	−1.29005	+	0.744809i	−0.311385	+	0.950284i	$0.600793\pi$
$60$	0.539577	+	2.02708i	0.0696591	+	0.261695i
$61$	−0.560848	+	0.971417i	−0.0718092	+	0.124377i	−0.899694	−	0.436521i	$-0.856211\pi$
$61$	−0.560848	+	0.971417i	−0.0718092	+	0.124377i	0.827885	+	0.560898i	$0.189544\pi$
$62$	2.90404	+	3.79108i	0.368813	+	0.481468i
$63$	4.58221	−	2.06687i	0.577304	−	0.260401i
$64$	5.68475	−	5.62882i	0.710594	−	0.703602i
$65$	0.606047	−	1.04970i	0.0751709	−	0.130200i
$66$	−3.22174	−	1.33760i	−0.396569	−	0.164647i
$67$	0.386838	+	0.670023i	0.0472598	+	0.0818563i	0.888688	−	0.458513i	$-0.151618\pi$
$67$	0.386838	+	0.670023i	0.0472598	+	0.0818563i	−0.841428	+	0.540369i	$0.818284\pi$
$68$	−6.92774	+	6.90494i	−0.840112	+	0.837347i
$69$	9.19235			1.10663
$70$	3.18237	−	1.96787i	0.380366	−	0.235205i
$71$			2.53216i			0.300512i	0.988647	+	0.150256i	$0.0480097\pi$
$71$			2.53216i			0.300512i	−0.988647	+	0.150256i	$0.951990\pi$
$72$	0.714597	−	5.32614i	0.0842161	−	0.627691i
$73$	11.1488	−	6.43675i	1.30487	−	0.753365i	0.323631	−	0.946183i	$-0.395096\pi$
$73$	11.1488	−	6.43675i	1.30487	−	0.753365i	0.981234	+	0.192819i	$0.0617629\pi$
$74$	9.29615	+	3.85957i	1.08066	+	0.448666i
$75$	0.908317	+	0.524417i	0.104883	+	0.0605545i
$76$	−4.93190	−	1.33021i	−0.565728	−	0.152586i
$77$	−0.620335	+	6.19130i	−0.0706937	+	0.705565i
$78$	1.42725	−	1.09330i	0.161604	−	0.123792i
$79$	1.34425	+	0.776104i	0.151240	+	0.0873186i	0.573710	−	0.819058i	$-0.305504\pi$
$79$	1.34425	+	0.776104i	0.151240	+	0.0873186i	−0.422470	+	0.906377i	$0.638837\pi$
$80$	0.0131831	−	3.99998i	0.00147391	−	0.447211i
$81$	−0.154821	−	0.268158i	−0.0172023	−	0.0297953i
$82$	−0.584813	−	4.47056i	−0.0645818	−	0.493690i
$83$			4.47506i			0.491202i	0.969371	+	0.245601i	$0.0789853\pi$
$83$			4.47506i			0.491202i	−0.969371	+	0.245601i	$0.921015\pi$
$84$	5.47876	−	0.885792i	0.597782	−	0.0966478i
$85$			4.89060i			0.530460i
$86$	−16.2805	+	2.12972i	−1.75557	+	0.229654i
$87$	2.73457	+	4.73641i	0.293176	+	0.507796i
$88$	5.26730	+	4.06247i	0.561496	+	0.433060i
$89$	−9.58219	−	5.53228i	−1.01571	−	0.586420i	−0.102851	−	0.994697i	$-0.532797\pi$
$89$	−9.58219	−	5.53228i	−1.01571	−	0.586420i	−0.912858	+	0.408276i	$0.866130\pi$
$90$	−1.63394	−	2.13303i	−0.172233	−	0.224841i
$91$	−2.60356	−	1.87234i	−0.272928	−	0.196275i
$92$	−16.9239	−	4.56466i	−1.76444	−	0.475898i
$93$	3.06722	+	1.77086i	0.318055	+	0.183629i
$94$	5.43406	−	13.0885i	0.560480	−	1.34997i
$95$	−2.21189	+	1.27704i	−0.226935	+	0.131021i
$96$	2.29306	−	5.47207i	0.234035	−	0.558491i
$97$			13.3588i			1.35638i	0.734888	+	0.678189i	$0.237235\pi$
$97$			13.3588i			1.35638i	−0.734888	+	0.678189i	$0.762765\pi$
$98$	−4.34113	−	8.89688i	−0.438521	−	0.898721i
$99$	4.46831			0.449082
$100$	−1.41188	−	1.41654i	−0.141188	−	0.141654i
$101$	0.799019	+	1.38394i	0.0795054	+	0.137707i	0.903037	−	0.429564i	$-0.141333\pi$
$101$	0.799019	+	1.38394i	0.0795054	+	0.137707i	−0.823531	+	0.567271i	$0.807999\pi$
$102$	−2.78155	+	6.69963i	−0.275414	+	0.663362i
$103$	−1.77318	+	3.07124i	−0.174717	+	0.302618i	−0.940063	−	0.341000i	$-0.889234\pi$
$103$	−1.77318	+	3.07124i	−0.174717	+	0.302618i	0.765346	+	0.643619i	$0.222568\pi$
$104$	−3.17059	+	1.30413i	−0.310902	+	0.127880i
$105$	1.62015	−	2.25288i	0.158110	−	0.219859i
$106$	−9.11472	+	6.98205i	−0.885300	+	0.678156i
$107$	4.99959	−	8.65954i	0.483329	−	0.837150i	−0.516488	−	0.856294i	$-0.672761\pi$
$107$	4.99959	−	8.65954i	0.483329	−	0.837150i	0.999817	+	0.0191446i	$0.00609429\pi$
$108$	−2.64390	−	9.93260i	−0.254409	−	0.955765i
$109$	−4.17287	+	2.40921i	−0.399689	+	0.230760i	−0.686350	−	0.727272i	$-0.740788\pi$
$109$	−4.17287	+	2.40921i	−0.399689	+	0.230760i	0.286661	+	0.958032i	$0.407455\pi$
$110$	3.29786	−	0.431408i	0.314439	−	0.0411331i
$111$	7.46497			0.708543
$112$	−10.5267	−	1.08978i	−0.994684	−	0.102974i
$113$	8.76609			0.824644			0.412322	−	0.911038i	$-0.364718\pi$
$113$	8.76609			0.824644			0.412322	+	0.911038i	$0.364718\pi$
$114$	−3.75638	+	0.491389i	−0.351818	+	0.0460228i
$115$	−7.59015	+	4.38218i	−0.707785	+	0.408640i
$116$	−2.68262	−	10.0781i	−0.249075	−	0.935724i
$117$	−1.15146	+	1.99438i	−0.106452	+	0.184381i
$118$	12.8457	−	9.84003i	1.18254	−	0.905848i
$119$	12.8748	+	1.28999i	1.18024	+	0.118253i
$120$	−1.12847	−	2.74353i	−0.103015	−	0.250449i
$121$	2.73450	−	4.73629i	0.248591	−	0.430571i
$122$	0.608265	−	1.46507i	0.0550697	−	0.132641i
$123$	−1.67189	−	2.89580i	−0.150749	−	0.261105i
$124$	−4.76766	−	4.78340i	−0.428148	−	0.429562i
$125$	−1.00000			−0.0894427
$126$	−6.04634	+	3.73884i	−0.538651	+	0.333083i
$127$		−	2.51008i		−	0.222734i	−0.993779	−	0.111367i	$-0.964477\pi$
$127$		−	2.51008i		−	0.222734i	0.993779	−	0.111367i	$-0.0355229\pi$
$128$	−6.93900	+	8.93590i	−0.613327	+	0.789829i
$129$	−10.5457	+	6.08855i	−0.928495	+	0.536067i
$130$	−0.657285	+	1.58314i	−0.0576477	+	0.138850i
$131$	4.72620	+	2.72867i	0.412930	+	0.238405i	0.692048	−	0.721852i	$-0.256709\pi$
$131$	4.72620	+	2.72867i	0.412930	+	0.238405i	−0.279118	+	0.960257i	$0.590042\pi$
$132$	4.76311	+	1.28469i	0.414575	+	0.111818i
$133$	2.77846	+	6.15980i	0.240923	+	0.534122i
$134$	−0.665356	−	0.868590i	−0.0574780	−	0.0750348i
$135$	−4.45070	−	2.56962i	−0.383056	−	0.221157i
$136$	8.44792	−	10.9534i	0.724403	−	0.939244i
$137$	−7.53495	−	13.0509i	−0.643754	−	1.11502i	−0.984588	−	0.174891i	$-0.944043\pi$
$137$	−7.53495	−	13.0509i	−0.643754	−	1.11502i	0.340833	−	0.940124i	$-0.389291\pi$
$138$	−12.8901	+	1.68621i	−1.09728	+	0.143540i
$139$		−	15.2747i		−	1.29558i	−0.761819	−	0.647789i	$-0.775694\pi$
$139$		−	15.2747i		−	1.29558i	0.761819	−	0.647789i	$-0.224306\pi$
$140$	−4.10156	+	3.34324i	−0.346645	+	0.282555i
$141$		−	10.5103i		−	0.885124i
$142$	−0.464490	−	3.55076i	−0.0389791	−	0.297973i
$143$	−1.42531	−	2.46870i	−0.119190	−	0.206443i
$144$	−0.0250472	+	7.59975i	−0.00208727	+	0.633312i
$145$	−4.51588	−	2.60725i	−0.375024	−	0.216520i
$146$	−14.4528	+	11.0711i	−1.19612	+	0.916253i
$147$	−5.50353	−	4.85940i	−0.453923	−	0.400797i
$148$	−13.7437	−	3.70689i	−1.12972	−	0.304704i
$149$	3.67599	+	2.12234i	0.301149	+	0.173869i	0.642959	−	0.765901i	$-0.277707\pi$
$149$	3.67599	+	2.12234i	0.301149	+	0.173869i	−0.341810	+	0.939769i	$0.611040\pi$
$150$	−1.36990	−	0.568754i	−0.111852	−	0.0464385i
$151$	−1.03731	+	0.598892i	−0.0844152	+	0.0487371i	−0.541613	−	0.840628i	$-0.682186\pi$
$151$	−1.03731	+	0.598892i	−0.0844152	+	0.0487371i	0.457198	+	0.889365i	$0.348853\pi$
$152$	7.15985	+	0.960622i	0.580740	+	0.0779167i
$153$		−	9.29188i		−	0.751204i
$154$	−0.265837	−	8.79565i	−0.0214218	−	0.708774i
$155$	−3.37681			−0.271232
$156$	−1.80083	+	1.79490i	−0.144182	+	0.143707i
$157$	5.51369	+	9.54999i	0.440040	+	0.762172i	0.997692	−	0.0679028i	$-0.0216308\pi$
$157$	5.51369	+	9.54999i	0.440040	+	0.762172i	−0.557652	+	0.830075i	$0.688297\pi$
$158$	−2.02737	−	0.841720i	−0.161289	−	0.0669636i
$159$	−4.25759	+	7.37437i	−0.337649	+	0.584825i
$160$	0.715256	+	5.61145i	0.0565460	+	0.443624i
$161$	9.53434	+	21.1375i	0.751411	+	1.66587i
$162$	0.266290	+	0.347629i	0.0209217	+	0.0273123i
$163$	−6.36400	+	11.0228i	−0.498467	+	0.863370i	−0.999998	−	0.00176946i	$-0.999437\pi$
$163$	−6.36400	+	11.0228i	−0.498467	+	0.863370i	0.501532	+	0.865139i	$0.332770\pi$
$164$	1.64013	+	6.16164i	0.128072	+	0.481143i
$165$	2.13619	−	1.23333i	0.166302	−	0.0960145i
$166$	−0.820890	−	6.27523i	−0.0637135	−	0.487052i
$167$	15.0560			1.16507			0.582535	−	0.812805i	$-0.302061\pi$
$167$	15.0560			1.16507			0.582535	+	0.812805i	$0.302061\pi$
$168$	−7.52020	+	2.24712i	−0.580196	+	0.173369i
$169$	−11.5308			−0.886987
$170$	−0.897115	−	6.85792i	−0.0688056	−	0.525979i
$171$	4.20247	−	2.42630i	0.321371	−	0.185544i
$172$	22.4389	−	5.97288i	1.71095	−	0.455428i
$173$	6.09623	−	10.5590i	0.463488	−	0.802784i	−0.535644	−	0.844444i	$-0.679931\pi$
$173$	6.09623	−	10.5590i	0.463488	−	0.802784i	0.999132	+	0.0416597i	$0.0132645\pi$
$174$	−4.70342	−	6.14009i	−0.356566	−	0.465479i
$175$	−0.263769	+	2.63257i	−0.0199391	+	0.199004i
$176$	−8.13136	−	4.73044i	−0.612924	−	0.356571i
$177$	6.00037	−	10.3929i	0.451015	−	0.781181i
$178$	14.4516	+	6.00000i	1.08319	+	0.449719i
$179$	−0.698646	−	1.21009i	−0.0522192	−	0.0904464i	0.838734	−	0.544541i	$-0.183296\pi$
$179$	−0.698646	−	1.21009i	−0.0522192	−	0.0904464i	−0.890953	+	0.454095i	$0.849963\pi$
$180$	2.68250	+	2.69136i	0.199942	+	0.200602i
$181$	−25.6584			−1.90717			−0.953587	−	0.301118i	$-0.902640\pi$
$181$	−25.6584			−1.90717			−0.953587	+	0.301118i	$0.902640\pi$
$182$	3.99434	+	2.14793i	0.296080	+	0.159215i
$183$		−	1.17647i		−	0.0869674i
$184$	24.5692	+	3.29640i	1.81126	+	0.243014i
$185$	−6.16385	+	3.55870i	−0.453175	+	0.261641i
$186$	−4.62589	−	1.92057i	−0.339187	−	0.140823i
$187$	9.96081	+	5.75088i	0.728407	+	0.420546i
$188$	−5.21910	+	19.3503i	−0.380642	+	1.41127i
$189$	−7.93865	+	11.0390i	−0.577452	+	0.802970i
$190$	2.86740	−	2.19648i	0.208023	−	0.159350i
$191$	6.13554	+	3.54235i	0.443952	+	0.256316i	0.705273	−	0.708936i	$-0.250825\pi$
$191$	6.13554	+	3.54235i	0.443952	+	0.256316i	−0.261321	+	0.965252i	$0.584158\pi$
$192$	−2.21171	+	8.09393i	−0.159616	+	0.584129i
$193$	−9.51108	−	16.4737i	−0.684622	−	1.18580i	−0.973555	−	0.228451i	$-0.926634\pi$
$193$	−9.51108	−	16.4737i	−0.684622	−	1.18580i	0.288933	−	0.957349i	$-0.406699\pi$
$194$	−2.45049	−	18.7325i	−0.175935	−	1.34492i
$195$			1.27128i			0.0910386i
$196$	7.71944	+	11.6795i	0.551389	+	0.834249i
$197$		−	25.7446i		−	1.83423i	−0.398626	−	0.917113i	$-0.630513\pi$
$197$		−	25.7446i		−	1.83423i	0.398626	−	0.917113i	$-0.369487\pi$
$198$	−6.26577	+	0.819652i	−0.445289	+	0.0582502i
$199$	−3.38261	−	5.85886i	−0.239787	−	0.415323i	0.720866	−	0.693074i	$-0.243744\pi$
$199$	−3.38261	−	5.85886i	−0.239787	−	0.415323i	−0.960653	+	0.277751i	$0.910411\pi$
$200$	2.23968	+	1.72738i	0.158369	+	0.122144i
$201$	−0.702743	−	0.405729i	−0.0495676	−	0.0286179i
$202$	−1.37430	−	1.79409i	−0.0966956	−	0.126231i
$203$	−8.05491	+	11.2007i	−0.565344	+	0.786132i
$204$	2.67151	−	9.90490i	0.187043	−	0.693482i
$205$	2.76097	+	1.59405i	0.192835	+	0.111333i
$206$	1.92310	−	4.63196i	0.133988	−	0.322724i
$207$	14.4209	−	8.32590i	1.00232	−	0.578690i
$208$	4.20678	−	2.41034i	0.291688	−	0.167127i
$209$			6.00669i			0.415491i
$210$	−1.85862	+	3.45634i	−0.128257	+	0.238510i
$211$	14.7573			1.01593			0.507967	−	0.861377i	$-0.330397\pi$
$211$	14.7573			1.01593			0.507967	+	0.861377i	$0.330397\pi$
$212$	11.5005	−	11.4627i	0.789858	−	0.787259i
$213$	−1.32791	−	2.30000i	−0.0909866	−	0.157593i
$214$	−5.42228	+	13.0601i	−0.370659	+	0.892770i
$215$	5.80506	−	10.0547i	0.395902	−	0.685723i
$216$	5.52945	+	13.4432i	0.376232	+	0.914692i
$217$	−0.890699	+	8.88969i	−0.0604646	+	0.603472i
$218$	5.40954	−	4.14381i	0.366380	−	0.280654i
$219$	−6.75108	+	11.6932i	−0.456196	+	0.790154i
$220$	−4.54535	+	1.20990i	−0.306447	+	0.0815713i
$221$	−5.13368	+	2.96393i	−0.345329	+	0.199376i
$222$	−10.4679	+	1.36935i	−0.702558	+	0.0919046i
$223$	−14.4522			−0.967791			−0.483896	−	0.875126i	$-0.660779\pi$
$223$	−14.4522			−0.967791			−0.483896	+	0.875126i	$0.660779\pi$
$224$	14.9612	−	0.402834i	0.999638	−	0.0269155i
$225$	1.89995			0.126663
$226$	−12.2924	+	1.60802i	−0.817677	+	0.106964i
$227$	−3.97850	+	2.29699i	−0.264062	+	0.152456i	−0.626186	−	0.779673i	$-0.715385\pi$
$227$	−3.97850	+	2.29699i	−0.264062	+	0.152456i	0.362124	+	0.932130i	$0.382052\pi$
$228$	5.17731	−	1.37812i	0.342876	−	0.0912680i
$229$	−6.54085	+	11.3291i	−0.432232	+	0.748647i	−0.997065	−	0.0765577i	$-0.975607\pi$
$229$	−6.54085	+	11.3291i	−0.432232	+	0.748647i	0.564833	+	0.825205i	$0.308940\pi$
$230$	9.83956	−	7.53729i	0.648801	−	0.496994i
$231$	−2.68336	−	5.94898i	−0.176552	−	0.391414i
$232$	5.61043	+	13.6400i	0.368342	+	0.895512i
$233$	10.4329	−	18.0703i	0.683483	−	1.18383i	−0.290428	−	0.956897i	$-0.593798\pi$
$233$	10.4329	−	18.0703i	0.683483	−	1.18383i	0.973911	−	0.226931i	$-0.0728691\pi$
$234$	1.24881	−	3.00787i	0.0816371	−	0.196631i
$235$	5.01045	+	8.67836i	0.326846	+	0.566114i
$236$	−16.2080	+	16.1547i	−1.05505	+	1.05158i
$237$	−1.62801			−0.105751
$238$	−18.2906	+	0.552810i	−1.18560	+	0.0358333i
$239$		−	2.94959i		−	0.190793i	−0.995439	−	0.0953964i	$-0.969588\pi$
$239$		−	2.94959i		−	0.190793i	0.995439	−	0.0953964i	$-0.0304119\pi$
$240$	2.08568	+	3.64016i	0.134630	+	0.234971i
$241$	0.798690	−	0.461124i	0.0514481	−	0.0297036i	−0.474055	−	0.880495i	$-0.657210\pi$
$241$	0.798690	−	0.461124i	0.0514481	−	0.0297036i	0.525503	+	0.850791i	$0.323877\pi$
$242$	−2.96568	+	7.14314i	−0.190641	+	0.459178i
$243$	13.6334	+	7.87123i	0.874581	+	0.504940i
$244$	−0.584203	+	2.16599i	−0.0373998	+	0.138663i
$245$	6.86085	+	1.38878i	0.438324	+	0.0887260i
$246$	2.87563	+	3.75400i	0.183344	+	0.239346i
$247$	−2.68102	−	1.54789i	−0.170589	−	0.0984896i
$248$	7.56298	+	5.83303i	0.480249	+	0.370398i
$249$	−2.34680	−	4.06478i	−0.148722	−	0.257595i
$250$	1.40227	−	0.183437i	0.0886871	−	0.0116015i
$251$		−	9.30464i		−	0.587304i	−0.955912	−	0.293652i	$-0.905129\pi$
$251$		−	9.30464i		−	0.587304i	0.955912	−	0.293652i	$-0.0948706\pi$
$252$	7.79274	−	6.35197i	0.490897	−	0.400137i
$253$			20.6121i			1.29587i
$254$	0.460441	+	3.51980i	0.0288906	+	0.220852i
$255$	−2.56471	−	4.44221i	−0.160609	−	0.278182i
$256$	8.09116	−	13.8034i	0.505698	−	0.862711i
$257$	26.0684	+	15.0506i	1.62610	+	0.938832i	0.985240	+	0.171178i	$0.0547575\pi$
$257$	26.0684	+	15.0506i	1.62610	+	0.938832i	0.640865	+	0.767654i	$0.278576\pi$
$258$	13.6710	−	10.4722i	0.851118	−	0.651972i
$259$	7.74269	+	17.1654i	0.481107	+	1.06661i
$260$	0.631284	−	2.34055i	0.0391506	−	0.145155i
$261$	8.57994	+	4.95363i	0.531085	+	0.306622i
$262$	−7.12793	−	2.95937i	−0.440365	−	0.182830i
$263$	−15.2475	+	8.80316i	−0.940202	+	0.542826i	−0.890024	−	0.455914i	$-0.849312\pi$
$263$	−15.2475	+	8.80316i	−0.940202	+	0.542826i	−0.0501785	+	0.998740i	$0.515979\pi$
$264$	−6.91480	−	0.927745i	−0.425577	−	0.0570988i
$265$		−	8.11872i		−	0.498729i
$266$	−5.02607	−	8.12801i	−0.308168	−	0.498360i
$267$	11.6049			0.710207
$268$	1.09234	+	1.09594i	0.0667252	+	0.0669454i
$269$	−4.10363	−	7.10769i	−0.250202	−	0.433363i	0.713379	−	0.700778i	$-0.247164\pi$
$269$	−4.10363	−	7.10769i	−0.250202	−	0.433363i	−0.963581	+	0.267415i	$0.913831\pi$
$270$	6.71244	+	2.78686i	0.408506	+	0.169603i
$271$	7.40183	−	12.8204i	0.449629	−	0.778781i	−0.548732	−	0.835998i	$-0.684889\pi$
$271$	7.40183	−	12.8204i	0.449629	−	0.778781i	0.998362	+	0.0572171i	$0.0182227\pi$
$272$	−9.83698	+	16.9092i	−0.596455	+	1.02527i
$273$	3.34675	+	0.335326i	0.202554	+	0.0202948i
$274$	12.9600	+	16.9187i	0.782944	+	1.02209i
$275$	−1.17590	+	2.03673i	−0.0709097	+	0.122819i
$276$	17.7661	−	4.72904i	1.06939	−	0.284655i
$277$	−5.53090	+	3.19327i	−0.332320	+	0.191865i	−0.656870	−	0.754003i	$-0.728120\pi$
$277$	−5.53090	+	3.19327i	−0.332320	+	0.191865i	0.324551	+	0.945868i	$0.394787\pi$
$278$	2.80193	+	21.4191i	0.168049	+	1.28463i
$279$	6.41577			0.384102
$280$	5.13820	−	5.44048i	0.307066	−	0.325131i
$281$	−12.2559			−0.731128			−0.365564	−	0.930786i	$-0.619124\pi$
$281$	−12.2559			−0.731128			−0.365564	+	0.930786i	$0.619124\pi$
$282$	1.92797	+	14.7382i	0.114809	+	0.877646i
$283$	−14.5951	+	8.42649i	−0.867589	+	0.500903i	−0.866546	−	0.499096i	$-0.833665\pi$
$283$	−14.5951	+	8.42649i	−0.867589	+	0.500903i	−0.00104298	+	0.999999i	$0.500332\pi$
$284$	1.30268	+	4.89390i	0.0772997	+	0.290400i
$285$	1.33940	−	2.31990i	0.0793391	−	0.137419i
$286$	2.45151	+	3.20033i	0.144961	+	0.189239i
$287$	4.92470	−	6.84799i	0.290696	−	0.404224i
$288$	−1.35895	−	10.6615i	−0.0800768	−	0.628233i
$289$	3.45898	−	5.99113i	0.203469	−	0.352419i
$290$	6.81073	+	2.82767i	0.399940	+	0.166047i
$291$	−7.00556	−	12.1340i	−0.410673	−	0.711307i
$292$	18.2359	−	18.1759i	1.06717	−	1.06366i
$293$	−27.0419			−1.57980			−0.789902	−	0.613233i	$-0.789869\pi$
$293$	−27.0419			−1.57980			−0.789902	+	0.613233i	$0.789869\pi$
$294$	8.60880	+	5.80463i	0.502076	+	0.338533i
$295$			11.4420i			0.666178i
$296$	19.9523	+	2.67695i	1.15970	+	0.155595i
$297$	−10.4672	+	6.04325i	−0.607369	+	0.350665i
$298$	−5.54404	−	2.30177i	−0.321157	−	0.133338i
$299$	−9.19997	−	5.31161i	−0.532048	−	0.307178i
$300$	2.02529	+	0.546255i	0.116930	+	0.0315380i
$301$	−24.9384	−	17.9343i	−1.43743	−	1.03372i
$302$	1.34473	−	1.03009i	0.0773804	−	0.0592748i
$303$	−1.45153	−	0.838038i	−0.0833879	−	0.0481441i
$304$	−10.2162	−	0.0336705i	−0.585941	−	0.00193114i
$305$	0.560848	+	0.971417i	0.0321141	+	0.0556232i
$306$	1.70447	+	13.0297i	0.0974381	+	0.744858i
$307$			3.32341i			0.189677i	0.995493	+	0.0948386i	$0.0302335\pi$
$307$			3.32341i			0.189677i	−0.995493	+	0.0948386i	$0.969766\pi$
$308$	1.98622	+	12.2851i	0.113175	+	0.700007i
$309$		−	3.71955i		−	0.211598i
$310$	4.73519	−	0.619431i	0.268941	−	0.0351813i
$311$	17.2937	+	29.9536i	0.980637	+	1.69851i	0.659915	+	0.751340i	$0.270592\pi$
$311$	17.2937	+	29.9536i	0.980637	+	1.69851i	0.320723	+	0.947173i	$0.396074\pi$
$312$	2.19599	−	2.84727i	0.124323	−	0.161195i
$313$	−12.5334	−	7.23619i	−0.708432	−	0.409014i	0.102048	−	0.994779i	$-0.467461\pi$
$313$	−12.5334	−	7.23619i	−0.708432	−	0.409014i	−0.810480	+	0.585766i	$0.800794\pi$
$314$	−9.48348	−	12.3802i	−0.535184	−	0.698656i
$315$	0.501147	−	5.00174i	0.0282365	−	0.281816i
$316$	2.99731	+	0.808423i	0.168612	+	0.0454773i
$317$	−13.1460	−	7.58984i	−0.738352	−	0.426288i	0.0831178	−	0.996540i	$-0.473512\pi$
$317$	−13.1460	−	7.58984i	−0.738352	−	0.426288i	−0.821470	+	0.570252i	$0.806846\pi$
$318$	4.61755	−	11.1218i	0.258939	−	0.623681i
$319$	−10.6205	+	6.13174i	−0.594633	+	0.343312i
$320$	−2.03233	−	7.73755i	−0.113610	−	0.432542i
$321$			10.4875i			0.585354i
$322$	−17.2471	−	27.8914i	−0.961142	−	1.55433i
$323$	12.4909			0.695014
$324$	−0.437178	−	0.438621i	−0.0242877	−	0.0243678i
$325$	−0.606047	−	1.04970i	−0.0336174	−	0.0582271i
$326$	6.90204	−	16.6242i	0.382269	−	0.920732i
$327$	2.52686	−	4.37665i	0.139736	−	0.242029i
$328$	−3.43016	−	8.33939i	−0.189399	−	0.460466i
$329$	24.1680	−	10.9013i	1.33242	−	0.601007i
$330$	−2.76927	+	2.12131i	−0.152443	+	0.116774i
$331$	8.23079	−	14.2562i	0.452405	−	0.783589i	−0.546130	−	0.837701i	$-0.683899\pi$
$331$	8.23079	−	14.2562i	0.452405	−	0.783589i	0.998535	+	0.0541118i	$0.0172327\pi$
$332$	2.30221	+	8.64896i	0.126350	+	0.474674i
$333$	11.7110	−	6.76134i	0.641758	−	0.370519i
$334$	−21.1126	+	2.76183i	−1.15523	+	0.151120i
$335$	0.773676			0.0422704
$336$	10.1331	−	4.53054i	0.552807	−	0.247161i
$337$	−28.2883			−1.54096			−0.770482	−	0.637462i	$-0.779984\pi$
$337$	−28.2883			−1.54096			−0.770482	+	0.637462i	$0.779984\pi$
$338$	16.1693	−	2.11518i	0.879494	−	0.115050i
$339$	−7.96238	+	4.59708i	−0.432457	+	0.249679i
$340$	2.51599	+	9.45207i	0.136449	+	0.512610i
$341$	−3.97081	+	6.87764i	−0.215031	+	0.372445i
$342$	−5.44792	+	4.17321i	−0.294590	+	0.225661i
$343$	5.46574	−	17.6954i	0.295122	−	0.955459i
$344$	−30.3697	+	12.4917i	−1.63742	+	0.673506i
$345$	4.59617	−	7.96081i	0.247450	−	0.428595i
$346$	−6.61163	+	15.9248i	−0.355444	+	0.856121i
$347$	0.490872	+	0.850215i	0.0263514	+	0.0456420i	0.878900	−	0.477005i	$-0.158278\pi$
$347$	0.490872	+	0.850215i	0.0263514	+	0.0456420i	−0.852549	+	0.522647i	$0.824944\pi$
$348$	7.72177	+	7.74726i	0.413930	+	0.415297i
$349$	−25.8547			−1.38397			−0.691985	−	0.721912i	$-0.743264\pi$
$349$	−25.8547			−1.38397			−0.691985	+	0.721912i	$0.743264\pi$
$350$	−0.113035	−	3.73995i	−0.00604198	−	0.199909i
$351$		−	6.22923i		−	0.332492i
$352$	12.2701	+	5.14175i	0.653997	+	0.274056i
$353$	11.4688	−	6.62150i	0.610421	−	0.352427i	−0.162709	−	0.986674i	$-0.552023\pi$
$353$	11.4688	−	6.62150i	0.610421	−	0.352427i	0.773130	+	0.634247i	$0.218690\pi$
$354$	−6.50767	+	15.6744i	−0.345879	+	0.833083i
$355$	2.19291	+	1.26608i	0.116388	+	0.0671965i
$356$	−21.3656	−	5.76265i	−1.13238	−	0.305420i
$357$	−12.3709	+	5.58007i	−0.654739	+	0.295329i
$358$	1.20166	+	1.56871i	0.0635098	+	0.0829090i
$359$	−4.64380	−	2.68110i	−0.245090	−	0.141503i	0.372424	−	0.928063i	$-0.378527\pi$
$359$	−4.64380	−	2.68110i	−0.245090	−	0.141503i	−0.617514	+	0.786560i	$0.711860\pi$
$360$	−4.25527	−	3.28193i	−0.224273	−	0.172973i
$361$	−6.23836	−	10.8052i	−0.328335	−	0.568693i
$362$	35.9799	−	4.70669i	1.89106	−	0.247378i
$363$			5.73606i			0.301065i
$364$	−5.99514	−	2.27926i	−0.314231	−	0.119466i
$365$		−	12.8735i		−	0.673830i
$366$	0.215808	+	1.64973i	0.0112805	+	0.0862327i
$367$	−10.6905	−	18.5165i	−0.558041	−	0.966556i	−0.997660	−	0.0683713i	$-0.978220\pi$
$367$	−10.6905	−	18.5165i	−0.558041	−	0.966556i	0.439619	−	0.898185i	$-0.355114\pi$
$368$	−35.0572	−	0.115541i	−1.82748	−	0.00602300i
$369$	−5.24570	−	3.02861i	−0.273080	−	0.157663i
$370$	7.99056	−	6.12092i	0.415409	−	0.318211i
$371$	−21.3731	−	2.14147i	−1.10964	−	0.111179i
$372$	6.83904	+	1.84460i	0.354588	+	0.0956380i
$373$	7.38217	+	4.26210i	0.382234	+	0.220683i	0.678790	−	0.734333i	$-0.262505\pi$
$373$	7.38217	+	4.26210i	0.382234	+	0.220683i	−0.296556	+	0.955016i	$0.595838\pi$
$374$	−15.0226	−	6.23709i	−0.776802	−	0.322512i
$375$	0.908317	−	0.524417i	0.0469053	−	0.0270808i
$376$	3.76900	−	28.0917i	0.194372	−	1.44872i
$377$		−	6.32045i		−	0.325520i
$378$	9.10715	−	16.9359i	0.468421	−	0.871087i
$379$	−4.45055			−0.228609			−0.114305	−	0.993446i	$-0.536464\pi$
$379$	−4.45055			−0.228609			−0.114305	+	0.993446i	$0.536464\pi$
$380$	−3.61795	+	3.60604i	−0.185597	+	0.184986i
$381$	1.31633	+	2.27995i	0.0674376	+	0.116805i
$382$	−9.25346	−	3.84184i	−0.473448	−	0.196566i
$383$	5.77418	−	10.0012i	0.295047	−	0.511036i	−0.679949	−	0.733259i	$-0.737998\pi$
$383$	5.77418	−	10.0012i	0.295047	−	0.511036i	0.974996	+	0.222223i	$0.0713314\pi$
$384$	1.61668	−	11.7556i	0.0825008	−	0.599898i
$385$	5.05166	+	3.63288i	0.257456	+	0.185149i
$386$	16.3589	+	21.3558i	0.832648	+	1.08698i
$387$	−11.0293	+	19.1033i	−0.560652	+	0.971077i
$388$	6.87247	+	25.8185i	0.348897	+	1.31074i
$389$	8.52646	−	4.92276i	0.432309	−	0.249594i	−0.268021	−	0.963413i	$-0.586370\pi$
$389$	8.52646	−	4.92276i	0.432309	−	0.249594i	0.700330	+	0.713819i	$0.253036\pi$
$390$	−0.233200	−	1.78268i	−0.0118085	−	0.0902695i
$391$	42.8629			2.16767
$392$	−12.9672	−	14.9617i	−0.654940	−	0.755681i
$393$	−5.72385			−0.288730
$394$	4.72250	+	36.1008i	0.237916	+	1.81873i
$395$	1.34425	−	0.776104i	0.0676367	−	0.0390500i
$396$	8.63592	−	2.29874i	0.433971	−	0.115516i
$397$	13.9206	−	24.1113i	0.698657	−	1.21011i	−0.270275	−	0.962783i	$-0.587115\pi$
$397$	13.9206	−	24.1113i	0.698657	−	1.21011i	0.968932	−	0.247327i	$-0.0795521\pi$
$398$	5.81805	+	7.59518i	0.291633	+	0.380712i
$399$	−5.75402	−	4.13798i	−0.288061	−	0.207158i
$400$	−3.45749	−	2.01141i	−0.172875	−	0.100570i
$401$	−18.2301	+	31.5755i	−0.910370	+	1.57681i	−0.0968267	+	0.995301i	$0.530869\pi$
$401$	−18.2301	+	31.5755i	−0.910370	+	1.57681i	−0.813543	+	0.581505i	$0.802464\pi$
$402$	1.05986	+	0.440031i	0.0528609	+	0.0219467i
$403$	−2.04651	−	3.54465i	−0.101944	−	0.176572i
$404$	2.25624	+	2.26369i	0.112252	+	0.112623i
$405$	−0.309642			−0.0153862
$406$	9.24051	−	17.1839i	0.458599	−	0.852822i
$407$			16.7388i			0.829709i
$408$	−1.92925	+	14.3794i	−0.0955121	+	0.711885i
$409$	3.55633	−	2.05325i	0.175849	−	0.101527i	−0.409492	−	0.912314i	$-0.634294\pi$
$409$	3.55633	−	2.05325i	0.175849	−	0.101527i	0.585341	+	0.810787i	$0.300961\pi$
$410$	−4.16402	−	1.72882i	−0.205646	−	0.0853801i
$411$	13.6882	+	7.90291i	0.675191	+	0.389822i
$412$	−1.84702	+	6.84801i	−0.0909961	+	0.337377i
$413$	30.1218	+	3.01804i	1.48220	+	0.148508i
$414$	−18.6946	+	14.3205i	−0.918792	+	0.703812i
$415$	3.87552	+	2.23753i	0.190242	+	0.109836i
$416$	−5.45689	+	4.15161i	−0.267546	+	0.203549i
$417$	8.01029	+	13.8742i	0.392265	+	0.679424i
$418$	−1.10185	−	8.42297i	−0.0538931	−	0.411981i
$419$		−	39.8516i		−	1.94688i	−0.228943	−	0.973440i	$-0.573527\pi$
$419$		−	39.8516i		−	1.94688i	0.228943	−	0.973440i	$-0.426473\pi$
$420$	1.97226	−	5.18764i	0.0962366	−	0.253131i
$421$		−	10.2595i		−	0.500020i	−0.968243	−	0.250010i	$-0.919566\pi$
$421$		−	10.2595i		−	0.500020i	0.968243	−	0.250010i	$-0.0804339\pi$
$422$	−20.6936	+	2.70703i	−1.00735	+	0.131776i
$423$	−9.51959	−	16.4884i	−0.462859	−	0.801694i
$424$	−14.0241	+	18.1833i	−0.681071	+	0.883060i
$425$	4.23538	+	2.44530i	0.205446	+	0.118614i
$426$	2.28398	+	2.98163i	0.110659	+	0.144460i
$427$	2.70526	−	1.22024i	0.130917	−	0.0590517i
$428$	5.20778	−	19.3084i	0.251728	−	0.933306i
$429$	2.58926	+	1.49491i	0.125011	+	0.0721749i
$430$	−6.29585	+	15.1642i	−0.303613	+	0.731282i
$431$	−13.6969	+	7.90789i	−0.659755	+	0.380909i	−0.792183	−	0.610283i	$-0.791056\pi$
$431$	−13.6969	+	7.90789i	−0.659755	+	0.380909i	0.132429	+	0.991193i	$0.457722\pi$
$432$	−10.2197	−	17.8366i	−0.491697	−	0.858164i
$433$			32.7619i			1.57443i	0.616676	+	0.787217i	$0.288479\pi$
$433$			32.7619i			1.57443i	−0.616676	+	0.787217i	$0.711521\pi$
$434$	−0.381699	−	12.6291i	−0.0183221	−	0.606217i
$435$	5.46913			0.262225
$436$	−6.82549	+	6.80303i	−0.326882	+	0.325806i
$437$	11.1924	+	19.3858i	0.535404	+	0.927347i
$438$	7.32185	−	17.6354i	0.349852	−	0.842652i
$439$	0.202051	−	0.349962i	0.00964336	−	0.0167028i	−0.861163	−	0.508328i	$-0.830264\pi$
$439$	0.202051	−	0.349962i	0.00964336	−	0.0167028i	0.870807	+	0.491625i	$0.163597\pi$
$440$	6.15185	−	2.53038i	0.293278	−	0.120631i
$441$	−13.0353	−	2.63861i	−0.620727	−	0.125648i
$442$	6.65509	−	5.09793i	0.316551	−	0.242484i
$443$	−16.1659	+	28.0002i	−0.768066	+	1.33033i	0.170544	+	0.985350i	$0.445447\pi$
$443$	−16.1659	+	28.0002i	−0.768066	+	1.33033i	−0.938610	+	0.344979i	$0.887886\pi$
$444$	14.4276	−	3.84038i	0.684701	−	0.182256i
$445$	−9.58219	+	5.53228i	−0.454239	+	0.262255i
$446$	20.2658	−	2.65106i	0.959616	−	0.125531i
$447$	−4.45196			−0.210570
$448$	−20.9057	+	3.30931i	−0.987702	+	0.156350i
$449$	4.91848			0.232117			0.116059	−	0.993242i	$-0.462974\pi$
$449$	4.91848			0.232117			0.116059	+	0.993242i	$0.462974\pi$
$450$	−2.66423	+	0.348520i	−0.125593	+	0.0164294i
$451$	6.49328	−	3.74889i	0.305756	−	0.176529i
$452$	16.9422	−	4.50975i	0.796896	−	0.212121i
$453$	0.628138	−	1.08797i	0.0295125	−	0.0511172i
$454$	5.15757	−	3.95079i	0.242057	−	0.185420i
$455$	−2.92328	+	1.31858i	−0.137045	+	0.0618160i
$456$	−7.00718	+	2.88220i	−0.328141	+	0.134971i
$457$	10.7472	−	18.6147i	0.502733	−	0.870759i	−0.497262	−	0.867601i	$-0.665661\pi$
$457$	10.7472	−	18.6147i	0.502733	−	0.870759i	0.999995	−	0.00315885i	$-0.00100550\pi$
$458$	7.09385	−	17.0862i	0.331474	−	0.798387i
$459$	12.5670	+	21.7666i	0.586575	+	1.01598i
$460$	−12.4151	+	12.3742i	−0.578856	+	0.576951i
$461$	27.8967			1.29928			0.649639	−	0.760243i	$-0.274920\pi$
$461$	27.8967			1.29928			0.649639	+	0.760243i	$0.274920\pi$
$462$	4.85405	+	7.84983i	0.225831	+	0.365207i
$463$			38.9342i			1.80942i	0.426024	+	0.904712i	$0.359914\pi$
$463$			38.9342i			1.80942i	−0.426024	+	0.904712i	$0.640086\pi$
$464$	−10.3694	−	18.0978i	−0.481387	−	0.840169i
$465$	3.06722	−	1.77086i	0.142239	−	0.0821216i
$466$	−11.3150	+	27.2532i	−0.524156	+	1.26248i
$467$	−21.6588	−	12.5047i	−1.00225	−	0.578650i	−0.0933379	−	0.995634i	$-0.529754\pi$
$467$	−21.6588	−	12.5047i	−1.00225	−	0.578650i	−0.908914	+	0.416984i	$0.863087\pi$
$468$	−1.19941	+	4.44692i	−0.0554425	+	0.205559i
$469$	0.204072	−	2.03676i	0.00942316	−	0.0940486i
$470$	−8.61792	−	11.2503i	−0.397515	−	0.518936i
$471$	−10.0164	−	5.78295i	−0.461529	−	0.266464i
$472$	19.7646	−	25.6264i	0.909741	−	1.17955i
$473$	−13.6524	−	23.6467i	−0.627738	−	1.08727i
$474$	2.28290	−	0.298636i	0.104857	−	0.0137168i
$475$			2.55407i			0.117189i
$476$	25.5469	−	4.13035i	1.17094	−	0.189314i
$477$			15.4251i			0.706268i
$478$	0.541062	+	4.13611i	0.0247476	+	0.189181i
$479$	4.29962	+	7.44716i	0.196455	+	0.340269i	0.947376	−	0.320122i	$-0.103724\pi$
$479$	4.29962	+	7.44716i	0.196455	+	0.340269i	−0.750922	+	0.660391i	$0.770391\pi$
$480$	−3.59242	−	4.72189i	−0.163971	−	0.215524i
$481$	−7.47116	−	4.31348i	−0.340655	−	0.196678i
$482$	−1.03539	+	0.793127i	−0.0471607	+	0.0361260i
$483$	−19.7451	−	14.1996i	−0.898431	−	0.646103i
$484$	2.84836	−	10.5606i	0.129471	−	0.480027i
$485$	11.5690	+	6.67938i	0.525323	+	0.303295i
$486$	−20.5615	−	8.53670i	−0.932688	−	0.387233i
$487$	−12.9204	+	7.45959i	−0.585478	+	0.338026i	−0.763308	−	0.646035i	$-0.776426\pi$
$487$	−12.9204	+	7.45959i	−0.585478	+	0.338026i	0.177829	+	0.984061i	$0.443093\pi$
$488$	0.421886	−	3.14446i	0.0190979	−	0.142343i
$489$		−	13.3496i		−	0.603688i
$490$	−9.87550	−	0.688910i	−0.446129	−	0.0311218i
$491$	3.92024			0.176918			0.0884589	−	0.996080i	$-0.471806\pi$
$491$	3.92024			0.176918			0.0884589	+	0.996080i	$0.471806\pi$
$492$	−4.72102	−	4.73661i	−0.212840	−	0.213543i
$493$	12.7510	+	22.0854i	0.574276	+	0.994675i
$494$	4.04344	+	1.67875i	0.181923	+	0.0755306i
$495$	2.23416	−	3.86967i	0.100418	−	0.173929i
$496$	−11.6753	−	6.79214i	−0.524236	−	0.304976i
$497$	3.91146	−	5.43904i	0.175453	−	0.243974i
$498$	4.03647	+	5.26941i	0.180878	+	0.236128i
$499$	5.70995	−	9.88993i	0.255613	−	0.442734i	−0.709449	−	0.704757i	$-0.751056\pi$
$499$	5.70995	−	9.88993i	0.255613	−	0.442734i	0.965062	+	0.262023i	$0.0843895\pi$
$500$	−1.93270	+	0.514454i	−0.0864331	+	0.0230071i
$501$	−13.6756	+	7.89564i	−0.610983	+	0.352751i
$502$	1.70681	+	13.0476i	0.0761787	+	0.582342i
$503$	−22.9658			−1.02399			−0.511997	−	0.858987i	$-0.671094\pi$
$503$	−22.9658			−1.02399			−0.511997	+	0.858987i	$0.671094\pi$
$504$	−9.76232	+	10.3366i	−0.434848	+	0.460430i
$505$	1.59804			0.0711118
$506$	−3.78101	−	28.9036i	−0.168086	−	1.28492i
$507$	10.4736	−	6.04696i	0.465151	−	0.268555i
$508$	−1.29132	−	4.85124i	−0.0572931	−	0.215239i
$509$	12.4956	−	21.6429i	0.553856	−	0.959306i	−0.444136	−	0.895959i	$-0.646489\pi$
$509$	12.4956	−	21.6429i	0.553856	−	0.959306i	0.997992	−	0.0633469i	$-0.0201774\pi$
$510$	4.41128	+	5.75870i	0.195335	+	0.255000i
$511$	−33.8904	−	3.39563i	−1.49922	−	0.150214i
$512$	−8.81392	+	20.8402i	−0.389524	+	0.921016i
$513$	−6.56298	+	11.3674i	−0.289763	+	0.501883i
$514$	−39.3157	−	16.3231i	−1.73414	−	0.719980i
$515$	1.77318	+	3.07124i	0.0781357	+	0.135335i
$516$	−17.2494	+	17.1926i	−0.759361	+	0.756863i
$517$	23.5673			1.03649
$518$	−14.0061	−	22.6502i	−0.615392	−	0.995193i
$519$			12.7879i			0.561325i
$520$	−0.455886	+	3.39787i	−0.0199919	+	0.149007i
$521$	14.0875	−	8.13341i	0.617184	−	0.356331i	−0.158588	−	0.987345i	$-0.550694\pi$
$521$	14.0875	−	8.13341i	0.617184	−	0.356331i	0.775772	+	0.631014i	$0.217361\pi$
$522$	−12.9400	−	5.37243i	−0.566370	−	0.235145i
$523$	−16.4913	−	9.52126i	−0.721114	−	0.416336i	0.0940483	−	0.995568i	$-0.470019\pi$
$523$	−16.4913	−	9.52126i	−0.721114	−	0.416336i	−0.815163	+	0.579232i	$0.803353\pi$
$524$	10.5381	+	2.84230i	0.460359	+	0.124166i
$525$	−1.14098	−	2.52953i	−0.0497964	−	0.110398i
$526$	19.7663	−	15.1413i	0.861850	−	0.660193i
$527$	14.3021	+	8.25732i	0.623009	+	0.359694i
$528$	9.86658	+	0.0325182i	0.429388	+	0.00141517i
$529$	26.9069	+	46.6042i	1.16987	+	2.02627i
$530$	1.48927	+	11.3846i	0.0646897	+	0.494516i
$531$		−	21.7392i		−	0.943399i
$532$	8.53886	+	10.4757i	0.370207	+	0.454178i
$533$			3.86427i			0.167380i
$534$	−16.2731	+	2.12876i	−0.704207	+	0.0921205i
$535$	−4.99959	−	8.65954i	−0.216151	−	0.374385i
$536$	−1.73279	−	1.33643i	−0.0748449	−	0.0577250i
$537$	1.26918	+	0.732763i	0.0547693	+	0.0316211i
$538$	7.05819	+	9.21412i	0.304300	+	0.397249i
$539$	10.8963	−	12.3406i	0.469336	−	0.531548i
$540$	−9.92383	−	2.67662i	−0.427054	−	0.115183i
$541$	33.7035	+	19.4587i	1.44902	+	0.836595i	0.998423	−	0.0561307i	$-0.0178764\pi$
$541$	33.7035	+	19.4587i	1.44902	+	0.836595i	0.450601	+	0.892725i	$0.351210\pi$
$542$	−8.02762	+	19.3353i	−0.344816	+	0.830523i
$543$	23.3060	−	13.4557i	1.00015	−	0.577439i
$544$	10.6923	−	25.5157i	0.458429	−	1.09398i
$545$			4.81842i			0.206398i
$546$	−4.75454	+	0.143700i	−0.203476	+	0.00614979i
$547$	−1.29047			−0.0551764			−0.0275882	−	0.999619i	$-0.508783\pi$
$547$	−1.29047			−0.0551764			−0.0275882	+	0.999619i	$0.508783\pi$
$548$	−21.2769	−	21.3471i	−0.908904	−	0.911905i
$549$	−1.06558	−	1.84564i	−0.0454779	−	0.0787701i
$550$	1.27532	−	3.07174i	0.0543799	−	0.130979i
$551$	−6.65909	+	11.5339i	−0.283687	+	0.491360i
$552$	−24.0453	+	9.89032i	−1.02344	+	0.420960i
$553$	−1.68858	−	3.74355i	−0.0718056	−	0.159192i
$554$	7.17003	−	5.49238i	0.304625	−	0.233349i
$555$	3.73248	−	6.46485i	0.158435	−	0.274418i
$556$	−7.85810	−	29.5213i	−0.333258	−	1.25198i
$557$	5.64503	−	3.25916i	0.239188	−	0.138095i	−0.375616	−	0.926776i	$-0.622569\pi$
$557$	5.64503	−	3.25916i	0.239188	−	0.138095i	0.614803	+	0.788680i	$0.289235\pi$
$558$	−8.99661	+	1.17689i	−0.380857	+	0.0498216i
$559$	14.0726			0.595206
$560$	−6.20715	+	8.57154i	−0.262300	+	0.362214i
$561$	−12.0634			−0.509319
$562$	17.1861	−	2.24819i	0.724951	−	0.0948340i
$563$	24.9474	−	14.4034i	1.05141	−	0.607030i	0.128364	−	0.991727i	$-0.459027\pi$
$563$	24.9474	−	14.4034i	1.05141	−	0.607030i	0.923043	+	0.384697i	$0.125694\pi$
$564$	−5.40705	−	20.3132i	−0.227678	−	0.855340i
$565$	4.38304	−	7.59165i	0.184396	−	0.319383i
$566$	18.9205	−	14.4935i	0.795288	−	0.609206i
$567$	−0.0816740	+	0.815154i	−0.00342999	+	0.0342333i
$568$	−2.72442	−	6.62360i	−0.114314	−	0.277920i
$569$	5.68292	−	9.84310i	0.238240	−	0.412644i	−0.721969	−	0.691925i	$-0.756763\pi$
$569$	5.68292	−	9.84310i	0.238240	−	0.412644i	0.960209	+	0.279281i	$0.0900961\pi$
$570$	−1.45264	+	3.49882i	−0.0608443	+	0.146549i
$571$	−1.36107	−	2.35745i	−0.0569592	−	0.0986562i	0.836140	−	0.548516i	$-0.184807\pi$
$571$	−1.36107	−	2.35745i	−0.0569592	−	0.0986562i	−0.893099	+	0.449860i	$0.851474\pi$
$572$	−4.02473	−	4.03801i	−0.168282	−	0.168838i
$573$	−7.43068			−0.310421
$574$	−5.64957	+	10.5061i	−0.235808	+	0.438515i
$575$			8.76435i			0.365499i
$576$	3.86131	+	14.7009i	0.160888	+	0.612539i
$577$	−8.29404	+	4.78857i	−0.345285	+	0.199351i	−0.662607	−	0.748967i	$-0.730550\pi$
$577$	−8.29404	+	4.78857i	−0.345285	+	0.199351i	0.317321	+	0.948318i	$0.397217\pi$
$578$	−3.75142	+	9.03566i	−0.156038	+	0.375834i
$579$	17.2781	+	9.97554i	0.718055	+	0.414569i
$580$	−10.0692	−	2.71582i	−0.418099	−	0.112768i
$581$	6.91270	−	9.61238i	0.286787	−	0.398789i
$582$	12.0495	+	15.7300i	0.499467	+	0.652030i
$583$	−16.5356	−	9.54684i	−0.684835	−	0.395390i
$584$	−22.2374	+	28.8325i	−0.920191	+	1.19310i
$585$	1.15146	+	1.99438i	0.0476069	+	0.0824576i
$586$	37.9199	−	4.96047i	1.56646	−	0.204915i
$587$		−	37.9535i		−	1.56651i	−0.621703	−	0.783253i	$-0.713559\pi$
$587$		−	37.9535i		−	1.56651i	0.621703	−	0.783253i	$-0.286441\pi$
$588$	−13.1366	−	6.56046i	−0.541745	−	0.270549i
$589$			8.62461i			0.355371i
$590$	−2.09888	−	16.0447i	−0.0864094	−	0.660550i
$591$	13.5009	+	23.3843i	0.555353	+	0.961900i
$592$	−28.4694	−	0.0938293i	−1.17009	−	0.00385636i
$593$	22.1702	+	12.7999i	0.910419	+	0.525631i	0.880566	−	0.473923i	$-0.157163\pi$
$593$	22.1702	+	12.7999i	0.910419	+	0.525631i	0.0298534	+	0.999554i	$0.490496\pi$
$594$	13.5693	−	10.3943i	0.556754	−	0.426484i
$595$	7.55459	−	10.5049i	0.309708	−	0.430661i
$596$	8.19645	+	2.21071i	0.335740	+	0.0905544i
$597$	6.14497	+	3.54780i	0.251497	+	0.145202i
$598$	13.8752	+	5.76068i	0.567397	+	0.235572i
$599$	−28.0612	+	16.2011i	−1.14655	+	0.661960i	−0.948044	−	0.318140i	$-0.896942\pi$
$599$	−28.0612	+	16.2011i	−1.14655	+	0.661960i	−0.198504	+	0.980100i	$0.563608\pi$
$600$	−2.94021	−	0.394481i	−0.120033	−	0.0161046i
$601$			22.3390i			0.911226i	0.890178	+	0.455613i	$0.150580\pi$
$601$			22.3390i			0.911226i	−0.890178	+	0.455613i	$0.849420\pi$
$602$	38.2601	+	20.5741i	1.55937	+	0.838538i
$603$	−1.46994			−0.0598607
$604$	−1.69671	+	1.69113i	−0.0690382	+	0.0688110i
$605$	−2.73450	−	4.73629i	−0.111173	−	0.192557i
$606$	2.18915	+	0.908890i	0.0889282	+	0.0369211i
$607$	−14.9462	+	25.8877i	−0.606649	+	1.05075i	0.385139	+	0.922858i	$0.374153\pi$
$607$	−14.9462	+	25.8877i	−0.606649	+	1.05075i	−0.991789	+	0.127889i	$0.959180\pi$
$608$	14.3320	−	1.82681i	0.581241	−	0.0740871i
$609$	1.44259	−	14.3979i	0.0584566	−	0.583432i
$610$	−0.964652	−	1.25931i	−0.0390576	−	0.0509878i
$611$	−6.07314	+	10.5190i	−0.245693	+	0.425552i
$612$	−4.78024	−	17.9584i	−0.193230	−	0.725927i
$613$	7.53192	−	4.34856i	0.304211	−	0.175637i	−0.340122	−	0.940381i	$-0.610468\pi$
$613$	7.53192	−	4.34856i	0.304211	−	0.175637i	0.644333	+	0.764745i	$0.277135\pi$
$614$	−0.609636	−	4.66031i	−0.0246029	−	0.188075i
$615$	−3.34378			−0.134834
$616$	−5.03874	−	16.8626i	−0.203017	−	0.679414i
$617$	14.2056			0.571897			0.285948	−	0.958245i	$-0.407691\pi$
$617$	14.2056			0.571897			0.285948	+	0.958245i	$0.407691\pi$
$618$	0.682301	+	5.21579i	0.0274462	+	0.209810i
$619$	16.3642	−	9.44785i	0.657731	−	0.379741i	−0.133681	−	0.991024i	$-0.542680\pi$
$619$	16.3642	−	9.44785i	0.657731	−	0.379741i	0.791412	+	0.611283i	$0.209346\pi$
$620$	−6.52637	+	1.73721i	−0.262105	+	0.0697682i
$621$	−22.5210	+	39.0075i	−0.903737	+	1.56532i
$622$	−29.7450	−	38.8306i	−1.19267	−	1.55697i
$623$	12.0366	+	26.6850i	0.482237	+	1.06911i
$624$	−2.55707	+	4.39546i	−0.102365	+	0.175959i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	18.9026	+	7.84797i	0.755501	+	0.313668i
$627$	−3.15001	−	5.45597i	−0.125799	−	0.217891i
$628$	15.5694	+	15.6207i	0.621285	+	0.623336i
$629$	34.8083			1.38790
$630$	0.214761	+	7.10571i	0.00855628	+	0.283098i
$631$		−	3.99376i		−	0.158989i	−0.996835	−	0.0794945i	$-0.974669\pi$
$631$		−	3.99376i		−	0.158989i	0.996835	−	0.0794945i	$-0.0253306\pi$
$632$	−4.35132	−	0.583808i	−0.173086	−	0.0232226i
$633$	−13.4043	+	7.73897i	−0.532773	+	0.307596i
$634$	19.8264	+	8.23152i	0.787408	+	0.326915i
$635$	−2.17379	−	1.25504i	−0.0862644	−	0.0498048i
$636$	−4.43489	+	16.4428i	−0.175855	+	0.651999i
$637$	2.70019	+	8.04353i	0.106985	+	0.318696i
$638$	13.7680	−	10.5465i	0.545079	−	0.417541i
$639$	−4.16642	−	2.40548i	−0.164821	−	0.0951594i
$640$	4.26921	+	10.4773i	0.168755	+	0.414152i
$641$	9.65359	+	16.7205i	0.381294	+	0.660420i	0.991247	−	0.132017i	$-0.0421453\pi$
$641$	9.65359	+	16.7205i	0.381294	+	0.660420i	−0.609954	+	0.792437i	$0.708812\pi$
$642$	−1.92379	−	14.7062i	−0.0759258	−	0.580409i
$643$			21.3394i			0.841544i	0.907166	+	0.420772i	$0.138241\pi$
$643$			21.3394i			0.841544i	−0.907166	+	0.420772i	$0.861759\pi$
$644$	29.3013	+	35.9475i	1.15463	+	1.41653i
$645$			12.1771i			0.479473i
$646$	−17.5156	+	2.29129i	−0.689143	+	0.0901497i
$647$	−11.9178	−	20.6422i	−0.468535	−	0.811527i	0.530818	−	0.847486i	$-0.321885\pi$
$647$	−11.9178	−	20.6422i	−0.468535	−	0.811527i	−0.999353	+	0.0359589i	$0.988551\pi$
$648$	0.693499	+	0.534869i	0.0272432	+	0.0210116i
$649$	23.3042	+	13.4547i	0.914769	+	0.528142i
$650$	1.04239	+	1.36079i	0.0408860	+	0.0533747i
$651$	−3.85287	−	8.54176i	−0.151006	−	0.334778i
$652$	−6.62901	+	24.5777i	−0.259612	+	0.962537i
$653$	3.56712	+	2.05948i	0.139592	+	0.0805936i	0.568170	−	0.822911i	$-0.307652\pi$
$653$	3.56712	+	2.05948i	0.139592	+	0.0805936i	−0.428577	+	0.903505i	$0.640985\pi$
$654$	−2.74049	+	6.60075i	−0.107162	+	0.258110i
$655$	4.72620	−	2.72867i	0.184668	−	0.106618i
$656$	6.33975	+	11.0648i	0.247526	+	0.432009i
$657$			24.4590i			0.954235i
$658$	−31.8903	+	19.7198i	−1.24321	+	0.768758i
$659$	39.8908			1.55393			0.776963	−	0.629546i	$-0.216759\pi$
$659$	39.8908			1.55393			0.776963	+	0.629546i	$0.216759\pi$
$660$	3.49412	−	3.48263i	0.136009	−	0.135561i
$661$	−20.1318	−	34.8692i	−0.783035	−	1.35626i	−0.930166	−	0.367139i	$-0.880337\pi$
$661$	−20.1318	−	34.8692i	−0.783035	−	1.35626i	0.147132	−	0.989117i	$-0.452996\pi$
$662$	−8.92666	+	21.5008i	−0.346945	+	0.835650i
$663$	3.10867	−	5.38438i	0.120731	−	0.209112i
$664$	−4.81485	−	11.7058i	−0.186853	−	0.454275i
$665$	6.72377	+	0.673685i	0.260737	+	0.0261244i
$666$	−15.1816	+	11.6294i	−0.588277	+	0.450631i
$667$	−22.8508	+	39.5788i	−0.884787	+	1.53250i
$668$	29.0988	−	7.74563i	1.12587	−	0.299688i
$669$	13.1272	−	7.57898i	0.507526	−	0.293020i
$670$	−1.08490	+	0.141920i	−0.0419133	+	0.00548286i
$671$	2.63802			0.101839
$672$	−13.3783	+	8.21181i	−0.516078	+	0.316778i
$673$	−23.6181			−0.910412			−0.455206	−	0.890386i	$-0.650434\pi$
$673$	−23.6181			−0.910412			−0.455206	+	0.890386i	$0.650434\pi$
$674$	39.6678	−	5.18911i	1.52795	−	0.199877i
$675$	−4.45070	+	2.56962i	−0.171308	+	0.0989045i
$676$	−22.2857	+	5.93208i	−0.857141	+	0.228157i
$677$	−12.2908	+	21.2883i	−0.472374	+	0.818175i	−0.999500	−	0.0316116i	$-0.989936\pi$
$677$	−12.2908	+	21.2883i	−0.472374	+	0.818175i	0.527127	+	0.849787i	$0.323269\pi$
$678$	10.3221	−	7.90693i	0.396418	−	0.303664i
$679$	20.6355	−	28.6945i	0.791918	−	1.10119i
$680$	−5.26194	−	12.7928i	−0.201786	−	0.490581i
$681$	2.40916	−	4.17279i	0.0923192	−	0.159902i
$682$	4.30652	−	10.3727i	0.164905	−	0.397190i
$683$	−10.5724	−	18.3120i	−0.404543	−	0.700688i	0.589726	−	0.807604i	$-0.299236\pi$
$683$	−10.5724	−	18.3120i	−0.404543	−	0.700688i	−0.994268	+	0.106915i	$0.965903\pi$
$684$	6.87391	−	6.85129i	0.262831	−	0.261966i
$685$	−15.0699			−0.575791
$686$	−4.41845	+	25.8162i	−0.168697	+	0.985668i
$687$		−	13.7205i		−	0.523471i
$688$	40.2950	−	23.0876i	1.53623	−	0.880206i
$689$	8.52225	−	4.92032i	0.324672	−	0.187449i
$690$	−4.98476	+	12.0063i	−0.189766	+	0.457071i
$691$	−1.87978	−	1.08529i	−0.0715102	−	0.0412864i	0.463819	−	0.885930i	$-0.346479\pi$
$691$	−1.87978	−	1.08529i	−0.0715102	−	0.0412864i	−0.535329	+	0.844644i	$0.679812\pi$
$692$	6.35008	−	23.5436i	0.241394	−	0.894993i
$693$	−9.59789	−	6.90228i	−0.364594	−	0.262196i
$694$	−0.844294	−	1.10218i	−0.0320490	−	0.0418384i
$695$	−13.2282	−	7.63733i	−0.501776	−	0.289700i
$696$	−12.2491	−	9.44727i	−0.464301	−	0.358098i
$697$	−7.79584	−	13.5028i	−0.295289	−	0.511455i
$698$	36.2552	−	4.74270i	1.37228	−	0.179514i
$699$			21.8848i			0.827759i
$700$	0.844549	+	5.22367i	0.0319210	+	0.197436i
$701$		−	45.6142i		−	1.72283i	−0.507906	−	0.861413i	$-0.669580\pi$
$701$		−	45.6142i		−	1.72283i	0.507906	−	0.861413i	$-0.330420\pi$
$702$	1.14267	+	8.73504i	0.0431272	+	0.329683i
$703$	9.08916	+	15.7429i	0.342804	+	0.593754i
$704$	−18.1491	−	4.95933i	−0.684020	−	0.186912i
$705$	−9.10216	−	5.25513i	−0.342807	−	0.197920i
$706$	−14.8677	+	11.3889i	−0.559552	+	0.428627i
$707$	0.421513	−	4.20695i	0.0158526	−	0.158219i
$708$	6.25023	−	23.1734i	0.234898	−	0.870908i
$709$	22.2197	+	12.8285i	0.834477	+	0.481785i	0.855383	−	0.517996i	$-0.173322\pi$
$709$	22.2197	+	12.8285i	0.834477	+	0.481785i	−0.0209062	+	0.999781i	$0.506655\pi$
$710$	−3.30729	−	1.37312i	−0.124120	−	0.0515322i
$711$	−2.55401	+	1.47456i	−0.0957828	+	0.0553002i
$712$	31.0174	+	4.16154i	1.16242	+	0.155960i
$713$			29.5956i			1.10836i
$714$	16.3238	−	10.0940i	0.610901	−	0.377759i
$715$	−2.85061			−0.106607
$716$	−1.97281	−	1.97932i	−0.0737274	−	0.0739708i
$717$	1.54681	+	2.67916i	0.0577668	+	0.100055i
$718$	7.00366	+	2.90777i	0.261374	+	0.108517i
$719$	11.6722	−	20.2169i	0.435301	−	0.753964i	−0.562019	−	0.827124i	$-0.689975\pi$
$719$	11.6722	−	20.2169i	0.435301	−	0.753964i	0.997320	+	0.0731603i	$0.0233085\pi$
$720$	6.56905	+	3.82157i	0.244814	+	0.142421i
$721$	8.55297	−	3.85793i	0.318529	−	0.143677i
$722$	10.7299	+	14.0074i	0.399326	+	0.521300i
$723$	−0.483642	+	0.837693i	−0.0179868	+	0.0311541i
$724$	−49.5900	+	13.2001i	−1.84300	+	0.490576i
$725$	−4.51588	+	2.60725i	−0.167716	+	0.0968307i
$726$	−1.05220	−	8.04349i	−0.0390510	−	0.298522i
$727$	17.2636			0.640273			0.320136	−	0.947371i	$-0.396271\pi$
$727$	17.2636			0.640273			0.320136	+	0.947371i	$0.396271\pi$
$728$	8.82489	+	2.09640i	0.327072	+	0.0776979i
$729$	−15.5823			−0.577122
$730$	2.36147	+	18.0521i	0.0874020	+	0.668137i
$731$	−49.1733	+	28.3902i	−1.81874	+	1.05005i
$732$	−0.605241	−	2.27377i	−0.0223704	−	0.0840410i
$733$	13.4244	−	23.2518i	0.495843	−	0.858825i	−0.504146	−	0.863619i	$-0.668193\pi$
$733$	13.4244	−	23.2518i	0.495843	−	0.858825i	0.999989	+	0.00479386i	$0.00152594\pi$
$734$	18.3876	+	24.0041i	0.678698	+	0.886007i
$735$	−6.96013	+	2.33649i	−0.256728	+	0.0861829i
$736$	49.1807	−	6.26876i	1.81283	−	0.231069i
$737$	0.909769	−	1.57577i	0.0335118	−	0.0580441i
$738$	7.91142	+	3.28466i	0.291224	+	0.120910i
$739$	−6.14064	−	10.6359i	−0.225887	−	0.391248i	0.730698	−	0.682701i	$-0.239195\pi$
$739$	−6.14064	−	10.6359i	−0.225887	−	0.391248i	−0.956585	+	0.291453i	$0.905861\pi$
$740$	−10.0821	+	10.0489i	−0.370625	+	0.369406i
$741$	3.24695			0.119280
$742$	30.3636	−	0.917701i	1.11468	−	0.0336899i
$743$			24.4507i			0.897009i	0.893781	+	0.448505i	$0.148043\pi$
$743$			24.4507i			0.897009i	−0.893781	+	0.448505i	$0.851957\pi$
$744$	−9.92852	−	1.33209i	−0.363997	−	0.0488368i
$745$	3.67599	−	2.12234i	0.134678	−	0.0777564i
$746$	−11.1336	−	4.62244i	−0.407630	−	0.169239i
$747$	−7.36328	−	4.25119i	−0.269408	−	0.155543i
$748$	22.2098	+	5.99036i	0.812072	+	0.219029i
$749$	−24.1156	+	10.8777i	−0.881165	+	0.397461i
$750$	−1.17750	+	0.901991i	−0.0429964	+	0.0329360i
$751$	−31.9771	−	18.4620i	−1.16686	−	0.673687i	−0.213921	−	0.976851i	$-0.568624\pi$
$751$	−31.9771	−	18.4620i	−1.16686	−	0.673687i	−0.952938	+	0.303164i	$0.901957\pi$
$752$	−0.132106	+	40.0834i	−0.00481743	+	1.46169i
$753$	4.87951	+	8.45156i	0.177819	+	0.307992i
$754$	1.15940	+	8.86296i	0.0422229	+	0.322770i
$755$			1.19778i			0.0435918i
$756$	−9.66399	+	25.4192i	−0.351476	+	0.924487i
$757$		−	14.6178i		−	0.531293i	−0.964071	−	0.265646i	$-0.914415\pi$
$757$		−	14.6178i		−	0.531293i	0.964071	−	0.265646i	$-0.0855854\pi$
$758$	6.24086	−	0.816394i	0.226678	−	0.0296528i
$759$	−10.8093	−	18.7223i	−0.392354	−	0.679577i
$760$	4.41185	−	5.72030i	0.160034	−	0.207497i
$761$	−15.3433	−	8.85843i	−0.556193	−	0.321118i	0.195423	−	0.980719i	$-0.437392\pi$
$761$	−15.3433	−	8.85843i	−0.556193	−	0.321118i	−0.751616	+	0.659601i	$0.770725\pi$
$762$	−2.26407	−	2.95563i	−0.0820186	−	0.107071i
$763$	12.6848	+	1.27095i	0.459221	+	0.0460115i
$764$	13.6805	+	3.68986i	0.494945	+	0.133495i
$765$	−8.04700	−	4.64594i	−0.290940	−	0.167974i
$766$	−6.26236	+	15.0835i	−0.226268	+	0.544989i
$767$	−12.0107	+	6.93437i	−0.433681	+	0.250386i
$768$	−0.110614	+	16.7810i	−0.00399145	+	0.605531i
$769$			3.82227i			0.137834i	0.997622	+	0.0689172i	$0.0219544\pi$
$769$			3.82227i			0.137834i	−0.997622	+	0.0689172i	$0.978046\pi$
$770$	−7.75017	−	4.16760i	−0.279297	−	0.150190i
$771$	−31.5712			−1.13701
$772$	−26.8570	−	26.9457i	−0.966605	−	0.969796i
$773$	−22.2173	−	38.4815i	−0.799101	−	1.38408i	−0.920202	−	0.391443i	$-0.871976\pi$
$773$	−22.2173	−	38.4815i	−0.799101	−	1.38408i	0.121102	−	0.992640i	$-0.461357\pi$
$774$	11.9618	−	28.8111i	0.429958	−	1.03560i
$775$	−1.68841	+	2.92441i	−0.0606493	+	0.105048i
$776$	−14.3731	−	34.9438i	−0.515964	−	1.25441i
$777$	−16.0347	−	11.5313i	−0.575240	−	0.413681i
$778$	−11.0534	+	8.46708i	−0.396282	+	0.303560i
$779$	4.07131	−	7.05171i	0.145870	−	0.252654i
$780$	0.654018	+	2.45702i	0.0234176	+	0.0879753i
$781$	5.15731	−	2.97758i	0.184543	−	0.106546i
$782$	−60.1052	+	7.86263i	−2.14936	+	0.281167i
$783$	−26.7985			−0.957699
$784$	20.9279	+	18.6017i	0.747426	+	0.664345i
$785$	11.0274			0.393584
$786$	8.02636	−	1.04996i	0.286291	−	0.0374509i
$787$	46.4327	−	26.8079i	1.65515	−	0.955600i	0.680240	−	0.732989i	$-0.261875\pi$
$787$	46.4327	−	26.8079i	1.65515	−	0.955600i	0.974907	−	0.222611i	$-0.0714580\pi$
$788$	−13.2444	−	49.7566i	−0.471813	−	1.77251i
$789$	9.23305	−	15.9921i	0.328705	−	0.569334i
$790$	−1.74263	+	1.33489i	−0.0620001	+	0.0474933i
$791$	−18.8294	−	13.5411i	−0.669498	−	0.481466i
$792$	−11.6882	+	4.80759i	−0.415322	+	0.170830i
$793$	−0.679800	+	1.17745i	−0.0241404	+	0.0418124i
$794$	−15.0976	+	36.3640i	−0.535793	+	1.29051i
$795$	4.25759	+	7.37437i	0.151001	+	0.261542i
$796$	−9.55169	−	9.58322i	−0.338551	−	0.339668i
$797$	−30.6896			−1.08708			−0.543541	−	0.839383i	$-0.682917\pi$
$797$	−30.6896			−1.08708			−0.543541	+	0.839383i	$0.682917\pi$
$798$	8.82773	+	4.74705i	0.312498	+	0.168044i
$799$		−	49.0082i		−	1.73379i
$800$	5.21729	+	2.18630i	0.184459	+	0.0772973i
$801$	18.2057	−	10.5110i	0.643265	−	0.371389i
$802$	19.7714	−	47.6214i	0.698152	−	1.68157i
$803$	−26.2198	−	15.1380i	−0.925277	−	0.534209i
$804$	−1.56692	−	0.422624i	−0.0552610	−	0.0149048i
$805$	23.0728	+	2.31176i	0.813208	+	0.0814790i
$806$	3.51997	+	4.59514i	0.123986	+	0.161857i
$807$	7.45478	+	4.30402i	0.262421	+	0.151509i
$808$	−3.57909	−	2.76042i	−0.125912	−	0.0971111i
$809$	−4.24657	−	7.35528i	−0.149302	−	0.258598i	0.781668	−	0.623695i	$-0.214369\pi$
$809$	−4.24657	−	7.35528i	−0.149302	−	0.258598i	−0.930970	+	0.365097i	$0.881036\pi$
$810$	0.434201	−	0.0567997i	0.0152563	−	0.00199574i
$811$			21.1581i			0.742961i	0.928441	+	0.371480i	$0.121150\pi$
$811$			21.1581i			0.742961i	−0.928441	+	0.371480i	$0.878850\pi$
$812$	−9.80551	+	25.7914i	−0.344106	+	0.905102i
$813$			15.5266i			0.544541i
$814$	−3.07050	−	23.4722i	−0.107621	−	0.822700i
$815$	6.36400	+	11.0228i	0.222921	+	0.386111i
$816$	0.0676217	−	20.5176i	0.00236723	−	0.718259i
$817$	−25.6803	−	14.8265i	−0.898441	−	0.518715i
$818$	−4.61029	+	3.53157i	−0.161195	+	0.123478i
$819$	5.55407	−	2.50524i	0.194075	−	0.0875400i
$820$	6.15620	+	1.66043i	0.214984	+	0.0579846i
$821$	15.7431	+	9.08930i	0.549439	+	0.317219i	0.748896	−	0.662688i	$-0.230584\pi$
$821$	15.7431	+	9.08930i	0.549439	+	0.317219i	−0.199457	+	0.979907i	$0.563918\pi$
$822$	−20.6442	−	8.57106i	−0.720051	−	0.298950i
$823$	29.4225	−	16.9871i	1.02561	−	0.592133i	0.109883	−	0.993945i	$-0.464952\pi$
$823$	29.4225	−	16.9871i	1.02561	−	0.592133i	0.915723	+	0.401811i	$0.131619\pi$
$824$	1.33384	−	9.94155i	0.0464664	−	0.346330i
$825$		−	2.46666i		−	0.0858780i
$826$	−42.7924	+	1.29335i	−1.48894	+	0.0450012i
$827$	−29.9169			−1.04031			−0.520157	−	0.854071i	$-0.674126\pi$
$827$	−29.9169			−1.04031			−0.520157	+	0.854071i	$0.674126\pi$
$828$	23.5880	−	23.5104i	0.819739	−	0.817042i
$829$	−7.84211	−	13.5829i	−0.272368	−	0.471755i	0.697100	−	0.716974i	$-0.254473\pi$
$829$	−7.84211	−	13.5829i	−0.272368	−	0.471755i	−0.969468	+	0.245219i	$0.921140\pi$
$830$	−5.84495	−	2.42670i	−0.202881	−	0.0842321i
$831$	3.34921	−	5.80099i	0.116183	−	0.201234i
$832$	6.89045	−	6.82266i	0.238883	−	0.236533i
$833$	−25.6623	−	22.6589i	−0.889148	−	0.785083i
$834$	−13.7776	−	17.9860i	−0.477079	−	0.622803i
$835$	7.52802	−	13.0389i	0.260518	−	0.451230i
$836$	3.09016	+	11.6091i	0.106876	+	0.401510i
$837$	−15.0292	+	8.67711i	−0.519485	+	0.299925i
$838$	7.31025	+	55.8826i	0.252528	+	1.93043i
$839$	−10.8159			−0.373405			−0.186702	−	0.982417i	$-0.559780\pi$
$839$	−10.8159			−0.373405			−0.186702	+	0.982417i	$0.559780\pi$
$840$	−1.81404	+	7.63624i	−0.0625902	+	0.263475i
$841$	1.80909			0.0623823
$842$	1.88198	+	14.3866i	0.0648572	+	0.495796i
$843$	11.1323	−	6.42722i	0.383416	−	0.221365i
$844$	28.5214	−	7.59194i	0.981748	−	0.261325i
$845$	−5.76541	+	9.98599i	−0.198336	+	0.343529i
$846$	16.3736	+	21.3749i	0.562936	+	0.734885i
$847$	−13.1899	+	5.94947i	−0.453210	+	0.204426i
$848$	16.3300	−	28.0704i	0.560776	−	0.963941i
$849$	8.83799	−	15.3078i	0.303319	−	0.525364i
$850$	−6.38769	−	2.65204i	−0.219096	−	0.0909641i
$851$	31.1897	+	54.0221i	1.06917	+	1.85185i
$852$	−3.74969	−	3.76207i	−0.128462	−	0.128886i
$853$	−37.5530			−1.28579			−0.642894	−	0.765955i	$-0.722267\pi$
$853$	−37.5530			−1.28579			−0.642894	+	0.765955i	$0.722267\pi$
$854$	−3.56966	+	2.20735i	−0.122151	+	0.0755339i
$855$		−	4.85260i		−	0.165955i
$856$	−3.76083	+	28.0308i	−0.128543	+	0.958073i
$857$	4.42892	−	2.55704i	0.151289	−	0.0873467i	−0.422444	−	0.906389i	$-0.638828\pi$
$857$	4.42892	−	2.55704i	0.151289	−	0.0873467i	0.573733	+	0.819042i	$0.305495\pi$
$858$	−3.90505	−	1.62130i	−0.133316	−	0.0553502i
$859$	−29.0706	−	16.7839i	−0.991876	−	0.572660i	−0.0860417	−	0.996292i	$-0.527422\pi$
$859$	−29.0706	−	16.7839i	−0.991876	−	0.572660i	−0.905835	+	0.423631i	$0.860755\pi$
$860$	6.04680	−	22.4191i	0.206194	−	0.764485i
$861$	−0.881986	+	8.80274i	−0.0300580	+	0.299997i
$862$	17.7561	−	13.6015i	0.604773	−	0.463268i
$863$	12.8472	+	7.41734i	0.437324	+	0.252489i	0.702462	−	0.711721i	$-0.252084\pi$
$863$	12.8472	+	7.41734i	0.437324	+	0.252489i	−0.265138	+	0.964210i	$0.585418\pi$
$864$	17.6027	+	23.1370i	0.598855	+	0.787136i
$865$	−6.09623	−	10.5590i	−0.207278	−	0.359016i
$866$	−6.00972	−	45.9409i	−0.204219	−	1.56113i
$867$			7.25579i			0.246419i
$868$	2.85188	+	17.6394i	0.0967992	+	0.598719i
$869$		−	3.65050i		−	0.123835i
$870$	−7.66918	+	1.00324i	−0.260010	+	0.0340130i
$871$	0.468884	+	0.812130i	0.0158875	+	0.0275180i
$872$	8.32323	−	10.7917i	0.281860	−	0.365453i
$873$	−21.9805	−	12.6905i	−0.743929	−	0.429507i
$874$	−19.2508	−	25.1309i	−0.651167	−	0.850066i
$875$	2.14799	+	1.54472i	0.0726153	+	0.0522209i
$876$	−7.03221	+	26.0726i	−0.237596	+	0.880912i
$877$	−19.7181	−	11.3843i	−0.665833	−	0.384419i	0.128663	−	0.991688i	$-0.458931\pi$
$877$	−19.7181	−	11.3843i	−0.665833	−	0.384419i	−0.794496	+	0.607270i	$0.792265\pi$
$878$	−0.219133	+	0.527804i	−0.00739539	+	0.0178125i
$879$	24.5626	−	14.1812i	0.828476	−	0.478321i
$880$	−8.16237	+	4.67674i	−0.275153	+	0.157653i
$881$		−	46.0172i		−	1.55036i	−0.631742	−	0.775179i	$-0.717660\pi$
$881$		−	46.0172i		−	1.55036i	0.631742	−	0.775179i	$-0.282340\pi$
$882$	18.7629	+	1.30889i	0.631780	+	0.0440727i
$883$	−48.2392			−1.62338			−0.811689	−	0.584090i	$-0.801452\pi$
$883$	−48.2392			−1.62338			−0.811689	+	0.584090i	$0.801452\pi$
$884$	−8.39707	+	8.36944i	−0.282424	+	0.281495i
$885$	−6.00037	−	10.3929i	−0.201700	−	0.349355i
$886$	17.5327	−	42.2291i	0.589021	−	1.41872i
$887$	−26.5340	+	45.9583i	−0.890926	+	1.54313i	−0.0521586	+	0.998639i	$0.516610\pi$
$887$	−26.5340	+	45.9583i	−0.890926	+	1.54313i	−0.838767	+	0.544490i	$0.816723\pi$
$888$	−19.5268	+	8.03178i	−0.655277	+	0.269529i
$889$	−3.87736	+	5.39162i	−0.130043	+	0.180829i
$890$	12.4220	−	9.51545i	0.416385	−	0.318959i
$891$	−0.364110	+	0.630656i	−0.0121981	+	0.0211278i
$892$	−27.9318	+	7.43499i	−0.935226	+	0.248942i
$893$	22.1651	−	12.7970i	0.741728	−	0.428237i
$894$	6.24283	−	0.816652i	0.208791	−	0.0273129i
$895$	−1.39729			−0.0467063
$896$	28.7083	−	8.47541i	0.959078	−	0.283144i
$897$	11.1420			0.372020
$898$	−6.89702	+	0.902229i	−0.230157	+	0.0301078i
$899$	−15.2493	+	8.80418i	−0.508592	+	0.293636i
$900$	3.67203	−	0.977435i	0.122401	−	0.0325812i
$901$	−19.8527	+	34.3859i	−0.661389	+	1.14556i
$902$	−8.41762	+	6.44805i	−0.280276	+	0.214697i
$903$	32.0571	+	3.21194i	1.06679	+	0.106887i
$904$	−22.9303	+	9.43169i	−0.762649	+	0.313693i
$905$	−12.8292	+	22.2208i	−0.426457	+	0.738645i
$906$	−0.681244	+	1.64084i	−0.0226328	+	0.0545134i
$907$	19.4872	+	33.7529i	0.647063	+	1.12075i	0.983821	+	0.179155i	$0.0573364\pi$
$907$	19.4872	+	33.7529i	0.647063	+	1.12075i	−0.336758	+	0.941591i	$0.609330\pi$
$908$	−6.50756	+	6.48615i	−0.215961	+	0.215250i
$909$	−3.03619			−0.100704
$910$	3.85734	−	2.38524i	0.127869	−	0.0790699i
$911$		−	23.8599i		−	0.790512i	−0.918571	−	0.395256i	$-0.870656\pi$
$911$		−	23.8599i		−	0.790512i	0.918571	−	0.395256i	$-0.129344\pi$
$912$	9.29723	−	5.32698i	0.307862	−	0.176394i
$913$	9.11448	−	5.26225i	0.301645	−	0.174155i
$914$	−11.6558	+	28.0742i	−0.385541	+	0.928612i
$915$	−1.01886	−	0.588237i	−0.0336823	−	0.0194465i
$916$	−6.81322	+	25.2607i	−0.225115	+	0.834638i
$917$	−5.93680	−	13.1618i	−0.196050	−	0.434641i
$918$	−21.6150	−	28.2173i	−0.713402	−	0.931311i
$919$	23.6619	+	13.6612i	0.780535	+	0.450642i	0.836620	−	0.547784i	$-0.184528\pi$
$919$	23.6619	+	13.6612i	0.780535	+	0.450642i	−0.0560847	+	0.998426i	$0.517862\pi$
$920$	15.1394	−	19.6293i	0.499130	−	0.647160i
$921$	−1.74285	−	3.01871i	−0.0574290	−	0.0994699i
$922$	−39.1186	+	5.11727i	−1.28830	+	0.168528i
$923$			3.06921i			0.101024i
$924$	−8.24662	−	10.1171i	−0.271294	−	0.332829i
$925$			7.11740i			0.234019i
$926$	−7.14195	−	54.5961i	−0.234699	−	1.79414i
$927$	−3.36895	−	5.83520i	−0.110651	−	0.191653i
$928$	17.8604	+	23.4758i	0.586298	+	0.770631i
$929$	14.1805	+	8.18709i	0.465246	+	0.268610i	0.714247	−	0.699893i	$-0.246769\pi$
$929$	14.1805	+	8.18709i	0.465246	+	0.268610i	−0.249002	+	0.968503i	$0.580102\pi$
$930$	−3.97621	+	3.04585i	−0.130385	+	0.0998775i
$931$	3.54704	−	17.5231i	0.116250	−	0.574296i
$932$	10.8674	−	40.2919i	0.355972	−	1.31980i
$933$	−31.4164	−	18.1382i	−1.02853	−	0.593820i
$934$	32.6653	+	13.5619i	1.06884	+	0.443761i
$935$	9.96081	−	5.75088i	0.325753	−	0.188074i
$936$	0.866159	−	6.45578i	0.0283113	−	0.211014i
$937$		−	9.65373i		−	0.315374i	−0.987489	−	0.157687i	$-0.949596\pi$
$937$		−	9.65373i		−	0.315374i	0.987489	−	0.157687i	$-0.0504036\pi$
$938$	0.0874526	+	2.89351i	0.00285543	+	0.0944764i
$939$	15.1791			0.495352
$940$	14.1483	+	14.1950i	0.461467	+	0.462991i
$941$	14.1753	+	24.5524i	0.462103	+	0.800385i	0.999066	−	0.0432207i	$-0.0137619\pi$
$941$	14.1753	+	24.5524i	0.462103	+	0.800385i	−0.536963	+	0.843606i	$0.680429\pi$
$942$	15.1064	+	6.27186i	0.492193	+	0.204348i
$943$	13.9708	−	24.1981i	0.454951	−	0.787999i
$944$	−23.0145	+	39.5605i	−0.749057	+	1.28759i
$945$	5.59074	+	12.3946i	0.181867	+	0.403196i
$946$	23.4820	+	30.6546i	0.763465	+	0.996666i
$947$	−1.38549	+	2.39973i	−0.0450223	+	0.0779808i	−0.887658	−	0.460503i	$-0.847669\pi$
$947$	−1.38549	+	2.39973i	−0.0450223	+	0.0779808i	0.842636	+	0.538483i	$0.181003\pi$
$948$	−3.14646	+	0.837536i	−0.102192	+	0.0272019i
$949$	13.5134	−	7.80194i	0.438662	−	0.253262i
$950$	−0.468510	−	3.58149i	−0.0152005	−	0.116199i
$951$	15.9210			0.516272
$952$	−35.0659	+	10.4781i	−1.13649	+	0.339597i
$953$	−10.6334			−0.344451			−0.172225	−	0.985058i	$-0.555096\pi$
$953$	−10.6334			−0.344451			−0.172225	+	0.985058i	$0.555096\pi$
$954$	−2.82953	−	21.6302i	−0.0916096	−	0.700302i
$955$	6.13554	−	3.54235i	0.198541	−	0.114628i
$956$	−1.51743	−	5.70067i	−0.0490771	−	0.184373i
$957$	6.43118	−	11.1391i	0.207891	−	0.360077i
$958$	−7.39529	−	9.65419i	−0.238931	−	0.311913i
$959$	−3.97497	+	39.6726i	−0.128359	+	1.28109i
$960$	5.90370	+	5.96236i	0.190541	+	0.192434i
$961$	9.79857	−	16.9716i	0.316083	−	0.547472i
$962$	11.2678	+	4.67816i	0.363289	+	0.150830i
$963$	9.49896	+	16.4527i	0.306100	+	0.530180i
$964$	1.30640	−	1.30210i	0.0420764	−	0.0419379i
$965$	−19.0222			−0.612345
$966$	30.2925	+	16.2896i	0.974647	+	0.524110i
$967$		−	7.65003i		−	0.246008i	−0.992406	−	0.123004i	$-0.960747\pi$
$967$		−	7.65003i		−	0.246008i	0.992406	−	0.123004i	$-0.0392528\pi$
$968$	−2.05697	+	15.3313i	−0.0661134	+	0.492766i
$969$	−11.3457	+	6.55046i	−0.364477	+	0.210431i
$970$	−17.4481	−	7.24409i	−0.560225	−	0.232594i
$971$	26.8992	+	15.5302i	0.863235	+	0.498389i	0.865094	−	0.501609i	$-0.167258\pi$
$971$	26.8992	+	15.5302i	0.863235	+	0.498389i	−0.00185907	+	0.999998i	$0.500592\pi$
$972$	30.3986	+	8.19900i	0.975036	+	0.262983i
$973$	−23.5950	+	32.8098i	−0.756421	+	1.05183i
$974$	16.7495	−	12.8304i	0.536687	−	0.411112i
$975$	1.10097	+	0.635642i	0.0352591	+	0.0203569i
$976$	−0.0147874	+	4.48676i	−0.000473334	+	0.143618i
$977$	2.12922	+	3.68791i	0.0681197	+	0.117987i	0.898074	−	0.439845i	$-0.144967\pi$
$977$	2.12922	+	3.68791i	0.0681197	+	0.117987i	−0.829954	+	0.557832i	$0.811633\pi$
$978$	2.44880	+	18.7196i	0.0783039	+	0.598588i
$979$			26.0217i			0.831658i
$980$	13.9744	−	0.845492i	0.446397	−	0.0270082i
$981$		−	9.15474i		−	0.292288i
$982$	−5.49722	+	0.719115i	−0.175423	+	0.0229479i
$983$	−3.78011	−	6.54734i	−0.120567	−	0.208828i	0.799425	−	0.600767i	$-0.205138\pi$
$983$	−3.78011	−	6.54734i	−0.120567	−	0.208828i	−0.919991	+	0.391939i	$0.871805\pi$
$984$	7.48900	+	5.77598i	0.238740	+	0.184131i
$985$	−22.2955	−	12.8723i	−0.710393	−	0.410146i
$986$	−21.9315	−	28.6306i	−0.698443	−	0.911783i
$987$	−16.2354	+	22.5759i	−0.516778	+	0.718599i
$988$	−5.97792	−	1.61234i	−0.190183	−	0.0512955i
$989$	−88.1226	−	50.8776i	−2.80214	−	1.61781i
$990$	−2.42304	+	5.83614i	−0.0770094	+	0.185485i
$991$	36.3263	−	20.9730i	1.15394	−	0.666229i	0.204097	−	0.978951i	$-0.434574\pi$
$991$	36.3263	−	20.9730i	1.15394	−	0.666229i	0.949845	+	0.312722i	$0.101241\pi$
$992$	17.6178	+	7.38271i	0.559366	+	0.234401i
$993$			17.2655i			0.547903i
$994$	−4.48719	+	8.34449i	−0.142325	+	0.264671i
$995$	−6.76522			−0.214472
$996$	−6.62680	−	6.64868i	−0.209978	−	0.210671i
$997$	7.07310	+	12.2510i	0.224007	+	0.387992i	0.956021	−	0.293298i	$-0.0947527\pi$
$997$	7.07310	+	12.2510i	0.224007	+	0.387992i	−0.732014	+	0.681290i	$0.761419\pi$
$998$	−6.19270	+	14.9157i	−0.196026	+	0.472149i
$999$	−18.2890	+	31.6774i	−0.578637	+	1.00223i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.e.131.1	✓	24
4.3	odd	2		1120.2.bz.f.271.10		24
7.3	odd	6		280.2.bj.f.171.7	yes	24
8.3	odd	2		280.2.bj.f.131.7	yes	24
8.5	even	2		1120.2.bz.e.271.10		24
28.3	even	6		1120.2.bz.e.591.10		24
56.3	even	6	inner	280.2.bj.e.171.1	yes	24
56.45	odd	6		1120.2.bz.f.591.10		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.1	✓	24	1.1	even	1	trivial
280.2.bj.e.171.1	yes	24	56.3	even	6	inner
280.2.bj.f.131.7	yes	24	8.3	odd	2
280.2.bj.f.171.7	yes	24	7.3	odd	6
1120.2.bz.e.271.10		24	8.5	even	2
1120.2.bz.e.591.10		24	28.3	even	6
1120.2.bz.f.271.10		24	4.3	odd	2
1120.2.bz.f.591.10		24	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.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40227 + 0.183437i) q^{2} +(-0.908317 + 0.524417i) q^{3} +(1.93270 - 0.514454i) q^{4} +(0.500000 - 0.866025i) q^{5} +(1.17750 - 0.901991i) q^{6} +(-2.14799 - 1.54472i) q^{7} +(-2.61579 + 1.07593i) q^{8} +(-0.949974 + 1.64540i) q^{9} +O(q^{10})\)	\(q+(-1.40227 + 0.183437i) q^{2} +(-0.908317 + 0.524417i) q^{3} +(1.93270 - 0.514454i) q^{4} +(0.500000 - 0.866025i) q^{5} +(1.17750 - 0.901991i) q^{6} +(-2.14799 - 1.54472i) q^{7} +(-2.61579 + 1.07593i) q^{8} +(-0.949974 + 1.64540i) q^{9} +(-0.542272 + 1.30612i) q^{10} +(-1.17590 - 2.03673i) q^{11} +(-1.48572 + 1.48083i) q^{12} +1.21209 q^{13} +(3.29541 + 1.77208i) q^{14} +1.04883i q^{15} +(3.47067 - 1.98857i) q^{16} +(-4.23538 + 2.44530i) q^{17} +(1.03029 - 2.48155i) q^{18} +(-2.21189 - 1.27704i) q^{19} +(0.520821 - 1.93100i) q^{20} +(2.76113 + 0.276650i) q^{21} +(2.02254 + 2.64033i) q^{22} +(-7.59015 - 4.38218i) q^{23} +(1.81173 - 2.34905i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-1.69968 + 0.222342i) q^{26} -5.13923i q^{27} +(-4.94611 - 1.88043i) q^{28} -5.21449i q^{29} +(-0.192395 - 1.47074i) q^{30} +(-1.68841 - 2.92441i) q^{31} +(-4.50203 + 3.42516i) q^{32} +(2.13619 + 1.23333i) q^{33} +(5.49058 - 4.20589i) q^{34} +(-2.41176 + 1.08785i) q^{35} +(-0.989532 + 3.66879i) q^{36} +(-6.16385 - 3.55870i) q^{37} +(3.33591 + 1.38500i) q^{38} +(-1.10097 + 0.635642i) q^{39} +(-0.376114 + 2.80331i) q^{40} +3.18809i q^{41} +(-3.92259 + 0.118555i) q^{42} +11.6101 q^{43} +(-3.32048 - 3.33144i) q^{44} +(0.949974 + 1.64540i) q^{45} +(11.4473 + 4.75267i) q^{46} +(-5.01045 + 8.67836i) q^{47} +(-2.10963 + 3.62633i) q^{48} +(2.22771 + 6.63606i) q^{49} +(0.859994 + 1.12268i) q^{50} +(2.56471 - 4.44221i) q^{51} +(2.34262 - 0.623566i) q^{52} +(7.03102 - 4.05936i) q^{53} +(0.942723 + 7.20657i) q^{54} -2.35181 q^{55} +(7.28070 + 1.72957i) q^{56} +2.67880 q^{57} +(0.956528 + 7.31210i) q^{58} +(-9.90904 + 5.72099i) q^{59} +(0.539577 + 2.02708i) q^{60} +(-0.560848 + 0.971417i) q^{61} +(2.90404 + 3.79108i) q^{62} +(4.58221 - 2.06687i) q^{63} +(5.68475 - 5.62882i) q^{64} +(0.606047 - 1.04970i) q^{65} +(-3.22174 - 1.33760i) q^{66} +(0.386838 + 0.670023i) q^{67} +(-6.92774 + 6.90494i) q^{68} +9.19235 q^{69} +(3.18237 - 1.96787i) q^{70} +2.53216i q^{71} +(0.714597 - 5.32614i) q^{72} +(11.1488 - 6.43675i) q^{73} +(9.29615 + 3.85957i) q^{74} +(0.908317 + 0.524417i) q^{75} +(-4.93190 - 1.33021i) q^{76} +(-0.620335 + 6.19130i) q^{77} +(1.42725 - 1.09330i) q^{78} +(1.34425 + 0.776104i) q^{79} +(0.0131831 - 3.99998i) q^{80} +(-0.154821 - 0.268158i) q^{81} +(-0.584813 - 4.47056i) q^{82} +4.47506i q^{83} +(5.47876 - 0.885792i) q^{84} +4.89060i q^{85} +(-16.2805 + 2.12972i) q^{86} +(2.73457 + 4.73641i) q^{87} +(5.26730 + 4.06247i) q^{88} +(-9.58219 - 5.53228i) q^{89} +(-1.63394 - 2.13303i) q^{90} +(-2.60356 - 1.87234i) q^{91} +(-16.9239 - 4.56466i) q^{92} +(3.06722 + 1.77086i) q^{93} +(5.43406 - 13.0885i) q^{94} +(-2.21189 + 1.27704i) q^{95} +(2.29306 - 5.47207i) q^{96} +13.3588i q^{97} +(-4.34113 - 8.89688i) q^{98} +4.46831 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

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