LMFDB - Embedded newform 280.2.bj.f.171.5

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			171.5
Character	$\chi$	$=$	280.171
Dual form			280.2.bj.f.131.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.410069 - 1.35346i) q^{2} +(2.26702 + 1.30886i) q^{3} +(-1.66369 + 1.11002i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.841856 - 3.60504i) q^{6} +(1.72615 - 2.00510i) q^{7} +(2.18459 + 1.79654i) q^{8} +(1.92625 + 3.33637i) q^{9} +O(q^{10})$	\(q+(-0.410069 - 1.35346i) q^{2} +(2.26702 + 1.30886i) q^{3} +(-1.66369 + 1.11002i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.841856 - 3.60504i) q^{6} +(1.72615 - 2.00510i) q^{7} +(2.18459 + 1.79654i) q^{8} +(1.92625 + 3.33637i) q^{9} +(-0.967093 + 1.03186i) q^{10} +(0.530792 - 0.919359i) q^{11} +(-5.22448 + 0.338897i) q^{12} +0.831440 q^{13} +(-3.42165 - 1.51404i) q^{14} -2.61773i q^{15} +(1.53571 - 3.69345i) q^{16} +(4.14632 + 2.39388i) q^{17} +(3.72573 - 3.97524i) q^{18} +(-2.03733 + 1.17625i) q^{19} +(1.79315 + 0.885785i) q^{20} +(6.53761 - 2.28630i) q^{21} +(-1.46197 - 0.341404i) q^{22} +(1.32189 - 0.763194i) q^{23} +(2.60108 + 6.93213i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-0.340948 - 1.12532i) q^{26} +2.23163i q^{27} +(-0.646076 + 5.25191i) q^{28} -3.07820i q^{29} +(-3.54298 + 1.07345i) q^{30} +(-4.78548 + 8.28870i) q^{31} +(-5.62867 - 0.563945i) q^{32} +(2.40663 - 1.38947i) q^{33} +(1.53973 - 6.59352i) q^{34} +(-2.59954 - 0.492342i) q^{35} +(-6.90812 - 3.41249i) q^{36} +(-10.0658 + 5.81151i) q^{37} +(2.42746 + 2.27509i) q^{38} +(1.88489 + 1.08824i) q^{39} +(0.463556 - 2.79018i) q^{40} -8.76255i q^{41} +(-5.77527 - 7.91083i) q^{42} -4.99479 q^{43} +(0.137435 + 2.11872i) q^{44} +(1.92625 - 3.33637i) q^{45} +(-1.57502 - 1.47616i) q^{46} +(-1.75877 - 3.04628i) q^{47} +(8.31571 - 6.36310i) q^{48} +(-1.04082 - 6.92219i) q^{49} +(1.37716 + 0.321598i) q^{50} +(6.26653 + 10.8539i) q^{51} +(-1.38326 + 0.922915i) q^{52} +(-6.61057 - 3.81661i) q^{53} +(3.02041 - 0.915121i) q^{54} -1.06158 q^{55} +(7.37317 - 1.27921i) q^{56} -6.15823 q^{57} +(-4.16620 + 1.26227i) q^{58} +(-3.31455 - 1.91365i) q^{59} +(2.90573 + 4.35508i) q^{60} +(6.51711 + 11.2880i) q^{61} +(13.1808 + 3.07800i) q^{62} +(10.0147 + 1.89675i) q^{63} +(1.54487 + 7.84942i) q^{64} +(-0.415720 - 0.720048i) q^{65} +(-2.86747 - 2.68749i) q^{66} +(-7.36855 + 12.7627i) q^{67} +(-9.55543 + 0.619835i) q^{68} +3.99567 q^{69} +(0.399627 + 3.72026i) q^{70} +9.99651i q^{71} +(-1.78585 + 10.7492i) q^{72} +(-7.06104 - 4.07669i) q^{73} +(11.9933 + 11.2405i) q^{74} +(-2.26702 + 1.30886i) q^{75} +(2.08382 - 4.21840i) q^{76} +(-0.927176 - 2.65124i) q^{77} +(0.699953 - 2.99737i) q^{78} +(8.17894 - 4.72211i) q^{79} +(-3.96648 + 0.516763i) q^{80} +(2.85786 - 4.94996i) q^{81} +(-11.8597 + 3.59325i) q^{82} +13.7576i q^{83} +(-8.33871 + 11.0606i) q^{84} -4.78776i q^{85} +(2.04821 + 6.76023i) q^{86} +(4.02894 - 6.97833i) q^{87} +(2.81123 - 1.05483i) q^{88} +(10.1864 - 5.88110i) q^{89} +(-5.30552 - 1.23896i) q^{90} +(1.43519 - 1.66712i) q^{91} +(-1.35205 + 2.73704i) q^{92} +(-21.6976 + 12.5271i) q^{93} +(-3.40179 + 3.62960i) q^{94} +(2.03733 + 1.17625i) q^{95} +(-12.0222 - 8.64565i) q^{96} -6.01605i q^{97} +(-8.94207 + 4.24727i) q^{98} +4.08976 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9	$ 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) $ 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−0.410069	−	1.35346i	−0.289962	−	0.957038i
$2$	−0.410069	−	1.35346i	−0.289962	−	0.957038i
$3$	2.26702	+	1.30886i	1.30886	+	0.755673i	0.981907	−	0.189366i	$-0.0606431\pi$
$3$	2.26702	+	1.30886i	1.30886	+	0.755673i	0.326958	+	0.945039i	$0.393976\pi$
$4$	−1.66369	+	1.11002i	−0.831844	+	0.555010i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	0.841856	−	3.60504i	0.343686	−	1.47175i
$7$	1.72615	−	2.00510i	0.652423	−	0.757855i
$7$	1.72615	−	2.00510i	0.652423	−	0.757855i
$8$	2.18459	+	1.79654i	0.772369	+	0.635174i
$9$	1.92625	+	3.33637i	0.642084	+	1.11212i
$10$	−0.967093	+	1.03186i	−0.305822	+	0.326302i
$11$	0.530792	−	0.919359i	0.160040	−	0.277197i	−0.774843	−	0.632154i	$-0.782171\pi$
$11$	0.530792	−	0.919359i	0.160040	−	0.277197i	0.934883	+	0.354957i	$0.115504\pi$
$12$	−5.22448	+	0.338897i	−1.50818	+	0.0978313i
$13$	0.831440			0.230600			0.115300	−	0.993331i	$-0.463217\pi$
$13$	0.831440			0.230600			0.115300	+	0.993331i	$0.463217\pi$
$14$	−3.42165	−	1.51404i	−0.914474	−	0.404644i
$15$		−	2.61773i		−	0.675895i
$16$	1.53571	−	3.69345i	0.383927	−	0.923363i
$17$	4.14632	+	2.39388i	1.00563	+	0.580601i	0.909909	−	0.414807i	$-0.136151\pi$
$17$	4.14632	+	2.39388i	1.00563	+	0.580601i	0.0957209	+	0.995408i	$0.469484\pi$
$18$	3.72573	−	3.97524i	0.878163	−	0.936973i
$19$	−2.03733	+	1.17625i	−0.467396	+	0.269851i	−0.715149	−	0.698972i	$-0.753641\pi$
$19$	−2.03733	+	1.17625i	−0.467396	+	0.269851i	0.247753	+	0.968823i	$0.420308\pi$
$20$	1.79315	+	0.885785i	0.400960	+	0.198068i
$21$	6.53761	−	2.28630i	1.42662	−	0.498910i
$22$	−1.46197	−	0.341404i	−0.311694	−	0.0727875i
$23$	1.32189	−	0.763194i	0.275633	−	0.159137i	−0.355812	−	0.934558i	$-0.615796\pi$
$23$	1.32189	−	0.763194i	0.275633	−	0.159137i	0.631445	+	0.775421i	$0.282462\pi$
$24$	2.60108	+	6.93213i	0.530943	+	1.41502i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	−0.340948	−	1.12532i	−0.0668653	−	0.220693i
$27$			2.23163i			0.429477i
$28$	−0.646076	+	5.25191i	−0.122097	+	0.992518i
$29$		−	3.07820i		−	0.571607i	−0.958288	−	0.285803i	$-0.907740\pi$
$29$		−	3.07820i		−	0.571607i	0.958288	−	0.285803i	$-0.0922604\pi$
$30$	−3.54298	+	1.07345i	−0.646857	+	0.195984i
$31$	−4.78548	+	8.28870i	−0.859498	+	1.48869i	0.0129107	+	0.999917i	$0.495890\pi$
$31$	−4.78548	+	8.28870i	−0.859498	+	1.48869i	−0.872409	+	0.488777i	$0.837443\pi$
$32$	−5.62867	−	0.563945i	−0.995018	−	0.0996923i
$33$	2.40663	−	1.38947i	0.418941	−	0.241876i
$34$	1.53973	−	6.59352i	0.264062	−	1.13078i
$35$	−2.59954	−	0.492342i	−0.439402	−	0.0832209i
$36$	−6.90812	−	3.41249i	−1.15135	−	0.568749i
$37$	−10.0658	+	5.81151i	−1.65481	+	0.955407i	−0.679760	+	0.733435i	$0.737916\pi$
$37$	−10.0658	+	5.81151i	−1.65481	+	0.955407i	−0.975053	+	0.221972i	$0.928751\pi$
$38$	2.42746	+	2.27509i	0.393785	+	0.369069i
$39$	1.88489	+	1.08824i	0.301824	+	0.174258i
$40$	0.463556	−	2.79018i	0.0732947	−	0.441167i
$41$		−	8.76255i		−	1.36848i	−0.729256	−	0.684241i	$-0.760134\pi$
$41$		−	8.76255i		−	1.36848i	0.729256	−	0.684241i	$-0.239866\pi$
$42$	−5.77527	−	7.91083i	−0.891144	−	1.22067i
$43$	−4.99479			−0.761699			−0.380849	−	0.924637i	$-0.624368\pi$
$43$	−4.99479			−0.761699			−0.380849	+	0.924637i	$0.624368\pi$
$44$	0.137435	+	2.11872i	0.0207192	+	0.319409i
$45$	1.92625	−	3.33637i	0.287149	−	0.497356i
$46$	−1.57502	−	1.47616i	−0.232223	−	0.217648i
$47$	−1.75877	−	3.04628i	−0.256543	−	0.444345i	0.708771	−	0.705439i	$-0.249250\pi$
$47$	−1.75877	−	3.04628i	−0.256543	−	0.444345i	−0.965313	+	0.261094i	$0.915917\pi$
$48$	8.31571	−	6.36310i	1.20027	−	0.918434i
$49$	−1.04082	−	6.92219i	−0.148688	−	0.988884i
$50$	1.37716	+	0.321598i	0.194760	+	0.0454808i
$51$	6.26653	+	10.8539i	0.877489	+	1.51986i
$52$	−1.38326	+	0.922915i	−0.191823	+	0.127985i
$53$	−6.61057	−	3.81661i	−0.908031	−	0.524252i	−0.0282341	−	0.999601i	$-0.508988\pi$
$53$	−6.61057	−	3.81661i	−0.908031	−	0.524252i	−0.879797	+	0.475349i	$0.842322\pi$
$54$	3.02041	−	0.915121i	0.411026	−	0.124532i
$55$	−1.06158			−0.143144
$56$	7.37317	−	1.27921i	0.985281	−	0.170942i
$57$	−6.15823			−0.815678
$58$	−4.16620	+	1.26227i	−0.547049	+	0.165744i
$59$	−3.31455	−	1.91365i	−0.431517	−	0.249137i	0.268476	−	0.963287i	$-0.413480\pi$
$59$	−3.31455	−	1.91365i	−0.431517	−	0.249137i	−0.699993	+	0.714150i	$0.746813\pi$
$60$	2.90573	+	4.35508i	0.375128	+	0.562239i
$61$	6.51711	+	11.2880i	0.834430	+	1.44528i	0.894494	+	0.447080i	$0.147536\pi$
$61$	6.51711	+	11.2880i	0.834430	+	1.44528i	−0.0600638	+	0.998195i	$0.519130\pi$
$62$	13.1808	+	3.07800i	1.67396	+	0.390907i
$63$	10.0147	+	1.89675i	1.26174	+	0.238968i
$64$	1.54487	+	7.84942i	0.193109	+	0.981177i
$65$	−0.415720	−	0.720048i	−0.0515637	−	0.0893110i
$66$	−2.86747	−	2.68749i	−0.352962	−	0.330808i
$67$	−7.36855	+	12.7627i	−0.900212	+	1.55921i	−0.0729933	+	0.997332i	$0.523255\pi$
$67$	−7.36855	+	12.7627i	−0.900212	+	1.55921i	−0.827219	+	0.561880i	$0.810078\pi$
$68$	−9.55543	+	0.619835i	−1.15877	+	0.0751660i
$69$	3.99567			0.481022
$70$	0.399627	+	3.72026i	0.0477645	+	0.444656i
$71$			9.99651i			1.18637i	0.805067	+	0.593184i	$0.202129\pi$
$71$			9.99651i			1.18637i	−0.805067	+	0.593184i	$0.797871\pi$
$72$	−1.78585	+	10.7492i	−0.210465	+	1.26680i
$73$	−7.06104	−	4.07669i	−0.826432	−	0.477141i	0.0261973	−	0.999657i	$-0.491660\pi$
$73$	−7.06104	−	4.07669i	−0.826432	−	0.477141i	−0.852630	+	0.522516i	$0.824994\pi$
$74$	11.9933	+	11.2405i	1.39419	+	1.30669i
$75$	−2.26702	+	1.30886i	−0.261773	+	0.151135i
$76$	2.08382	−	4.21840i	0.239030	−	0.483884i
$77$	−0.927176	−	2.65124i	−0.105662	−	0.302137i
$78$	0.699953	−	2.99737i	0.0792541	−	0.339386i
$79$	8.17894	−	4.72211i	0.920202	−	0.531279i	0.0365026	−	0.999334i	$-0.488378\pi$
$79$	8.17894	−	4.72211i	0.920202	−	0.531279i	0.883700	+	0.468055i	$0.155045\pi$
$80$	−3.96648	+	0.516763i	−0.443466	+	0.0577759i
$81$	2.85786	−	4.94996i	0.317540	−	0.549995i
$82$	−11.8597	+	3.59325i	−1.30969	+	0.396808i
$83$			13.7576i			1.51010i	0.655669	+	0.755049i	$0.272387\pi$
$83$			13.7576i			1.51010i	−0.655669	+	0.755049i	$0.727613\pi$
$84$	−8.33871	+	11.0606i	−0.909828	+	1.20681i
$85$		−	4.78776i		−	0.519305i
$86$	2.04821	+	6.76023i	0.220864	+	0.728975i
$87$	4.02894	−	6.97833i	0.431948	−	0.748156i
$88$	2.81123	−	1.05483i	0.299678	−	0.112446i
$89$	10.1864	−	5.88110i	1.07975	−	0.623396i	0.148923	−	0.988849i	$-0.452419\pi$
$89$	10.1864	−	5.88110i	1.07975	−	0.623396i	0.930830	+	0.365453i	$0.119086\pi$
$90$	−5.30552	−	1.23896i	−0.559251	−	0.130598i
$91$	1.43519	−	1.66712i	0.150449	−	0.174761i
$92$	−1.35205	+	2.73704i	−0.140961	+	0.285356i
$93$	−21.6976	+	12.5271i	−2.24993	+	1.29900i
$94$	−3.40179	+	3.62960i	−0.350868	+	0.374365i
$95$	2.03733	+	1.17625i	0.209026	+	0.120681i
$96$	−12.0222	−	8.64565i	−1.22701	−	0.882392i
$97$		−	6.01605i		−	0.610837i	−0.952218	−	0.305418i	$-0.901204\pi$
$97$		−	6.01605i		−	0.610837i	0.952218	−	0.305418i	$-0.0987963\pi$
$98$	−8.94207	+	4.24727i	−0.903286	+	0.429039i
$99$	4.08976			0.411036
$100$	−0.129462	−	1.99581i	−0.0129462	−	0.199581i
$101$	6.35344	−	11.0045i	0.632191	−	1.09499i	−0.354912	−	0.934900i	$-0.615489\pi$
$101$	6.35344	−	11.0045i	0.632191	−	1.09499i	0.987103	−	0.160087i	$-0.0511776\pi$
$102$	12.1206	−	12.9323i	1.20012	−	1.28049i
$103$	−0.337209	−	0.584063i	−0.0332262	−	0.0575495i	0.848934	−	0.528499i	$-0.177245\pi$
$103$	−0.337209	−	0.584063i	−0.0332262	−	0.0575495i	−0.882160	+	0.470949i	$0.843912\pi$
$104$	1.81636	+	1.49372i	0.178108	+	0.146471i
$105$	−5.24880	−	4.51859i	−0.512230	−	0.440969i
$106$	−2.45483	+	10.5122i	−0.238434	+	1.02103i
$107$	−3.79703	−	6.57665i	−0.367073	−	0.635789i	0.622033	−	0.782991i	$-0.286307\pi$
$107$	−3.79703	−	6.57665i	−0.367073	−	0.635789i	−0.989107	+	0.147201i	$0.952973\pi$
$108$	−2.47715	−	3.71273i	−0.238364	−	0.357258i
$109$	2.84932	+	1.64505i	0.272915	+	0.157568i	0.630212	−	0.776423i	$-0.282968\pi$
$109$	2.84932	+	1.64505i	0.272915	+	0.157568i	−0.357297	+	0.933991i	$0.616301\pi$
$110$	0.435323	+	1.43681i	0.0415064	+	0.136994i
$111$	−30.4259			−2.88790
$112$	−4.75486	−	9.45470i	−0.449292	−	0.893385i
$113$	15.0551			1.41626			0.708132	−	0.706080i	$-0.249538\pi$
$113$	15.0551			1.41626			0.708132	+	0.706080i	$0.249538\pi$
$114$	2.52530	+	8.33489i	0.236516	+	0.780634i
$115$	−1.32189	−	0.763194i	−0.123267	−	0.0711682i
$116$	3.41686	+	5.12115i	0.317248	+	0.475487i
$117$	1.60156	+	2.77399i	0.148065	+	0.256455i
$118$	−1.23086	+	5.27082i	−0.113309	+	0.485219i
$119$	11.9571	−	4.18157i	1.09611	−	0.383324i
$120$	4.70286	−	5.71867i	0.429311	−	0.522040i
$121$	4.93652	+	8.55030i	0.448774	+	0.777300i
$122$	12.6053	−	13.4495i	1.14123	−	1.21766i
$123$	11.4690	−	19.8649i	1.03412	−	1.79116i
$124$	−1.23908	−	19.1018i	−0.111273	−	1.71539i
$125$	1.00000			0.0894427
$126$	−1.53956	−	14.3323i	−0.137155	−	1.27682i
$127$			9.06617i			0.804493i	0.915531	+	0.402246i	$0.131770\pi$
$127$			9.06617i			0.804493i	−0.915531	+	0.402246i	$0.868230\pi$
$128$	9.99034	−	5.30972i	0.883030	−	0.469317i
$129$	−11.3233	−	6.53751i	−0.996961	−	0.575596i
$130$	−0.804080	+	0.857928i	−0.0705225	+	0.0752453i
$131$	−10.0620	+	5.80928i	−0.879119	+	0.507559i	−0.870368	−	0.492402i	$-0.836119\pi$
$131$	−10.0620	+	5.80928i	−0.879119	+	0.507559i	−0.00875088	+	0.999962i	$0.502786\pi$
$132$	−2.46154	+	4.98306i	−0.214250	+	0.433719i
$133$	−1.15824	+	6.11544i	−0.100432	+	0.530276i
$134$	20.2954	+	4.73942i	1.75325	+	0.409424i
$135$	1.93265	−	1.11581i	0.166336	−	0.0960340i
$136$	4.75730	+	12.6787i	0.407935	+	1.08719i
$137$	−0.257971	+	0.446818i	−0.0220399	+	0.0381743i	−0.876835	−	0.480791i	$-0.840349\pi$
$137$	−0.257971	+	0.446818i	−0.0220399	+	0.0381743i	0.854795	+	0.518966i	$0.173683\pi$
$138$	−1.63850	−	5.40796i	−0.139478	−	0.460356i
$139$		−	9.35115i		−	0.793154i	−0.918001	−	0.396577i	$-0.870198\pi$
$139$		−	9.35115i		−	0.793154i	0.918001	−	0.396577i	$-0.129802\pi$
$140$	4.87133	−	2.06644i	0.411702	−	0.174646i
$141$		−	9.20796i		−	0.775450i
$142$	13.5298	−	4.09926i	1.13540	−	0.344002i
$143$	0.441322	−	0.764392i	0.0369052	−	0.0639217i
$144$	15.2809	−	1.99083i	1.27341	−	0.165903i
$145$	−2.66580	+	1.53910i	−0.221382	+	0.127815i
$146$	−2.62211	+	11.2285i	−0.217008	+	0.929280i
$147$	6.70066	−	17.0550i	0.552661	−	1.40667i
$148$	10.2955	−	20.8418i	0.846285	−	1.71319i
$149$	−3.15569	+	1.82194i	−0.258524	+	0.149259i	−0.623661	−	0.781695i	$-0.714356\pi$
$149$	−3.15569	+	1.82194i	−0.258524	+	0.149259i	0.365137	+	0.930954i	$0.381022\pi$
$150$	2.70112	+	2.53159i	0.220546	+	0.206703i
$151$	−14.1378	−	8.16245i	−1.15052	−	0.664251i	−0.201503	−	0.979488i	$-0.564583\pi$
$151$	−14.1378	−	8.16245i	−1.15052	−	0.664251i	−0.949013	+	0.315237i	$0.897916\pi$
$152$	−6.56393	−	1.09052i	−0.532405	−	0.0884529i
$153$			18.4449i			1.49118i
$154$	−3.20813	+	2.34208i	−0.258519	+	0.188731i
$155$	9.57096			0.768758
$156$	−4.34384	+	0.281773i	−0.347786	+	0.0225599i
$157$	7.61469	−	13.1890i	0.607719	−	1.05260i	−0.383897	−	0.923376i	$-0.625418\pi$
$157$	7.61469	−	13.1890i	0.607719	−	1.05260i	0.991615	−	0.129224i	$-0.0412485\pi$
$158$	−9.74510	−	9.13344i	−0.775278	−	0.726617i
$159$	−9.99086	−	17.3047i	−0.792327	−	1.37235i
$160$	2.32595	+	5.15655i	0.183882	+	0.407661i
$161$	0.751504	−	3.96790i	0.0592268	−	0.312715i
$162$	−7.87147	−	1.83816i	−0.618441	−	0.144420i
$163$	−2.76559	−	4.79015i	−0.216618	−	0.375193i	0.737154	−	0.675725i	$-0.236169\pi$
$163$	−2.76559	−	4.79015i	−0.216618	−	0.375193i	−0.953772	+	0.300532i	$0.902836\pi$
$164$	9.72662	+	14.5781i	0.759521	+	1.13836i
$165$	−2.40663	−	1.38947i	−0.187356	−	0.108170i
$166$	18.6204	−	5.64158i	1.44522	−	0.437872i
$167$	−11.1473			−0.862608			−0.431304	−	0.902207i	$-0.641946\pi$
$167$	−11.1473			−0.862608			−0.431304	+	0.902207i	$0.641946\pi$
$168$	18.3894	+	6.75048i	1.41878	+	0.520811i
$169$	−12.3087			−0.946824
$170$	−6.48002	+	1.96331i	−0.496995	+	0.150579i
$171$	−7.84883	−	4.53153i	−0.600215	−	0.346534i
$172$	8.30977	−	5.54432i	0.633614	−	0.422751i
$173$	0.910856	+	1.57765i	0.0692511	+	0.119946i	0.898572	−	0.438826i	$-0.144606\pi$
$173$	0.910856	+	1.57765i	0.0692511	+	0.119946i	−0.829321	+	0.558773i	$0.811272\pi$
$174$	−11.0970	−	2.59140i	−0.841262	−	0.196453i
$175$	0.873389	+	2.49744i	0.0660220	+	0.188789i
$176$	−2.58047	−	3.37233i	−0.194510	−	0.254199i
$177$	−5.00943	−	8.67659i	−0.376532	−	0.652172i
$178$	−12.1369	−	11.3751i	−0.909701	−	0.852603i
$179$	−1.28415	+	2.22422i	−0.0959822	+	0.166246i	−0.910018	−	0.414569i	$-0.863933\pi$
$179$	−1.28415	+	2.22422i	−0.0959822	+	0.166246i	0.814036	+	0.580815i	$0.197266\pi$
$180$	0.498755	+	7.68885i	0.0371750	+	0.573093i
$181$	11.7984			0.876969			0.438484	−	0.898739i	$-0.355515\pi$
$181$	11.7984			0.876969			0.438484	+	0.898739i	$0.355515\pi$
$182$	−2.84490	−	1.25883i	−0.210878	−	0.0933110i
$183$			34.1200i			2.52223i
$184$	4.25890	+	0.707567i	0.313970	+	0.0521625i
$185$	10.0658	+	5.81151i	0.740055	+	0.427271i
$186$	25.8524	+	24.2297i	1.89559	+	1.77661i
$187$	4.40167	−	2.54131i	0.321882	−	0.185839i
$188$	6.30747	+	3.11578i	0.460020	+	0.227242i
$189$	4.47463	+	3.85212i	0.325481	+	0.280201i
$190$	0.756562	−	3.23979i	0.0548868	−	0.235039i
$191$	1.34645	−	0.777371i	0.0974254	−	0.0562486i	−0.450496	−	0.892779i	$-0.648753\pi$
$191$	1.34645	−	0.777371i	0.0974254	−	0.0562486i	0.547921	+	0.836530i	$0.315419\pi$
$192$	−6.77158	+	19.8168i	−0.488696	+	1.43016i
$193$	−1.46380	+	2.53537i	−0.105367	+	0.182500i	−0.913888	−	0.405967i	$-0.866935\pi$
$193$	−1.46380	+	2.53537i	−0.105367	+	0.182500i	0.808521	+	0.588467i	$0.200268\pi$
$194$	−8.14245	+	2.46699i	−0.584594	+	0.177120i
$195$		−	2.17648i		−	0.155861i
$196$	9.41536	+	10.3610i	0.672526	+	0.740074i
$197$			8.32978i			0.593473i	0.954959	+	0.296736i	$0.0958982\pi$
$197$			8.32978i			0.593473i	−0.954959	+	0.296736i	$0.904102\pi$
$198$	−1.67708	−	5.53531i	−0.119185	−	0.393378i
$199$	8.17280	−	14.1557i	0.579355	−	1.00347i	−0.416199	−	0.909274i	$-0.636638\pi$
$199$	8.17280	−	14.1557i	0.579355	−	1.00347i	0.995553	−	0.0941979i	$-0.0300287\pi$
$200$	−2.64815	+	0.993639i	−0.187252	+	0.0702609i
$201$	−33.4093	+	19.2889i	−2.35651	+	1.36053i
$202$	−17.4994	−	4.08651i	−1.23126	−	0.287526i
$203$	−6.17208	−	5.31343i	−0.433195	−	0.372929i
$204$	−22.4736	−	11.1016i	−1.57347	−	0.777267i
$205$	−7.58860	+	4.38128i	−0.530010	+	0.306002i
$206$	−0.652225	+	0.695904i	−0.0454427	+	0.0484859i
$207$	5.09259	+	2.94021i	0.353960	+	0.204359i
$208$	1.27685	−	3.07088i	0.0885336	−	0.212928i
$209$			2.49739i			0.172748i
$210$	−3.96335	+	8.95695i	−0.273497	+	0.618088i
$211$	11.9709			0.824112			0.412056	−	0.911159i	$-0.364811\pi$
$211$	11.9709			0.824112			0.412056	+	0.911159i	$0.364811\pi$
$212$	15.2344	−	0.988216i	1.04631	−	0.0678709i
$213$	−13.0841	+	22.6623i	−0.896506	+	1.55279i
$214$	−7.34417	+	7.83600i	−0.502037	+	0.535658i
$215$	2.49740	+	4.32562i	0.170321	+	0.295005i
$216$	−4.00921	+	4.87519i	−0.272792	+	0.331715i
$217$	8.35917	+	23.9029i	0.567458	+	1.62263i
$218$	1.05809	−	4.53101i	0.0716631	−	0.306879i
$219$	−10.6717	−	18.4839i	−0.721125	−	1.24903i
$220$	1.76615	−	1.17838i	0.119073	−	0.0794464i
$221$	3.44742	+	1.99037i	0.231898	+	0.133887i
$222$	12.4767	+	41.1802i	0.837383	+	2.76383i
$223$	26.5000			1.77457			0.887285	−	0.461222i	$-0.152589\pi$
$223$	26.5000			1.77457			0.887285	+	0.461222i	$0.152589\pi$
$224$	−10.8467	+	10.3126i	−0.724725	+	0.689038i
$225$	−3.85251			−0.256834
$226$	−6.17362	−	20.3764i	−0.410663	−	1.35542i
$227$	−8.49854	−	4.90663i	−0.564068	−	0.325665i	0.190709	−	0.981647i	$-0.438921\pi$
$227$	−8.49854	−	4.90663i	−0.564068	−	0.325665i	−0.754777	+	0.655982i	$0.772255\pi$
$228$	10.2454	−	6.83576i	0.678516	−	0.452709i
$229$	−10.1949	−	17.6581i	−0.673698	−	1.16688i	−0.976848	−	0.213937i	$-0.931371\pi$
$229$	−10.1949	−	17.6581i	−0.673698	−	1.16688i	0.303149	−	0.952943i	$-0.401962\pi$
$230$	−0.490883	+	2.10208i	−0.0323679	+	0.138607i
$231$	1.36819	−	7.22397i	0.0900202	−	0.475302i
$232$	5.53011	−	6.72460i	0.363070	−	0.441491i
$233$	9.40026	+	16.2817i	0.615831	+	1.06665i	0.990238	+	0.139387i	$0.0445131\pi$
$233$	9.40026	+	16.2817i	0.615831	+	1.06665i	−0.374407	+	0.927265i	$0.622154\pi$
$234$	3.09772	−	3.30517i	0.202504	−	0.216066i
$235$	−1.75877	+	3.04628i	−0.114729	+	0.198717i
$236$	7.63856	−	0.495493i	0.497228	−	0.0322538i
$237$	24.7224			1.60589
$238$	−10.5628	−	14.4687i	−0.684686	−	0.937867i
$239$			17.6775i			1.14346i	0.820442	+	0.571730i	$0.193727\pi$
$239$			17.6775i			1.14346i	−0.820442	+	0.571730i	$0.806273\pi$
$240$	−9.66846	−	4.02007i	−0.624096	−	0.259494i
$241$	2.91495	+	1.68295i	0.187768	+	0.108408i	0.590937	−	0.806717i	$-0.298758\pi$
$241$	2.91495	+	1.68295i	0.187768	+	0.108408i	−0.403169	+	0.915126i	$0.632091\pi$
$242$	9.54815	−	10.1876i	0.613778	−	0.654882i
$243$	18.7556	−	10.8285i	1.20317	−	0.694651i
$244$	−23.3723	−	11.5455i	−1.49626	−	0.739126i
$245$	−5.47438	+	4.36247i	−0.349746	+	0.278708i
$246$	−31.5893	−	7.37681i	−2.01406	−	0.470328i
$247$	−1.69392	+	0.977985i	−0.107782	+	0.0622277i
$248$	−25.3453	+	9.51009i	−1.60943	+	0.603891i
$249$	−18.0069	+	31.1888i	−1.14114	+	1.97651i
$250$	−0.410069	−	1.35346i	−0.0259350	−	0.0856001i
$251$		−	11.8507i		−	0.748011i	−0.927426	−	0.374006i	$-0.877984\pi$
$251$		−	11.8507i		−	0.748011i	0.927426	−	0.374006i	$-0.122016\pi$
$252$	−18.7668	+	7.96096i	−1.18220	+	0.501494i
$253$		−	1.62039i		−	0.101873i
$254$	12.2707	−	3.71776i	0.769930	−	0.233273i
$255$	6.26653	−	10.8539i	0.392425	−	0.679700i
$256$	−11.2832	−	11.3441i	−0.705200	−	0.709009i
$257$	8.52403	−	4.92135i	0.531714	−	0.306985i	−0.210000	−	0.977701i	$-0.567346\pi$
$257$	8.52403	−	4.92135i	0.531714	−	0.306985i	0.741714	+	0.670716i	$0.234013\pi$
$258$	−4.20490	+	18.0064i	−0.261786	+	1.12103i
$259$	−5.72250	+	30.2145i	−0.355579	+	1.87744i
$260$	1.49090	+	0.736477i	0.0924615	+	0.0456744i
$261$	10.2700	−	5.92938i	0.635697	−	0.367020i
$262$	11.9887	+	11.2362i	0.740665	+	0.694177i
$263$	−7.04488	−	4.06736i	−0.434406	−	0.250804i	0.266816	−	0.963747i	$-0.414028\pi$
$263$	−7.04488	−	4.06736i	−0.434406	−	0.250804i	−0.701222	+	0.712943i	$0.747362\pi$
$264$	7.75375	+	1.28820i	0.477210	+	0.0792830i
$265$			7.63323i			0.468905i
$266$	8.75193	−	0.940126i	0.536615	−	0.0576428i
$267$	30.7903			1.88433
$268$	−1.90790	−	29.4124i	−0.116544	−	1.79665i
$269$	12.5033	−	21.6564i	0.762342	−	1.32041i	−0.179299	−	0.983795i	$-0.557383\pi$
$269$	12.5033	−	21.6564i	0.762342	−	1.32041i	0.941640	−	0.336620i	$-0.109284\pi$
$270$	−2.30272	−	2.15819i	−0.140139	−	0.131343i
$271$	4.77233	+	8.26592i	0.289898	+	0.502119i	0.973785	−	0.227469i	$-0.0730452\pi$
$271$	4.77233	+	8.26592i	0.289898	+	0.502119i	−0.683887	+	0.729588i	$0.739712\pi$
$272$	15.2092	−	11.6379i	0.922194	−	0.705654i
$273$	5.43563	−	1.90092i	0.328980	−	0.115049i
$274$	0.710535	+	0.165926i	0.0429250	+	0.0100239i
$275$	0.530792	+	0.919359i	0.0320080	+	0.0554395i
$276$	−6.64754	+	4.43528i	−0.400135	+	0.266972i
$277$	−1.14340	−	0.660142i	−0.0687002	−	0.0396641i	0.465256	−	0.885176i	$-0.345962\pi$
$277$	−1.14340	−	0.660142i	−0.0687002	−	0.0396641i	−0.533957	+	0.845512i	$0.679295\pi$
$278$	−12.6564	+	3.83462i	−0.759079	+	0.229985i
$279$	−36.8722			−2.20748
$280$	−4.79441	−	5.74575i	−0.286521	−	0.343374i
$281$	27.6475			1.64931			0.824656	−	0.565634i	$-0.191369\pi$
$281$	27.6475			1.64931			0.824656	+	0.565634i	$0.191369\pi$
$282$	−12.4626	+	3.77590i	−0.742136	+	0.224852i
$283$	0.646465	+	0.373237i	0.0384284	+	0.0221866i	0.519091	−	0.854719i	$-0.326271\pi$
$283$	0.646465	+	0.373237i	0.0384284	+	0.0221866i	−0.480663	+	0.876906i	$0.659604\pi$
$284$	−11.0963	−	16.6311i	−0.658446	−	0.986872i
$285$	3.07912	+	5.33318i	0.182391	+	0.315911i
$286$	−1.21554	−	0.283857i	−0.0718766	−	0.0167848i
$287$	−17.5698	−	15.1255i	−1.03711	−	0.892829i
$288$	−8.96072	−	19.8656i	−0.528015	−	1.17059i
$289$	2.96131	+	5.12914i	0.174195	+	0.301714i
$290$	3.17626	+	2.97690i	0.186517	+	0.174810i
$291$	7.87419	−	13.6385i	0.461593	−	0.799503i
$292$	16.2726	−	1.05556i	0.952280	−	0.0617718i
$293$	9.44068			0.551530			0.275765	−	0.961225i	$-0.411069\pi$
$293$	9.44068			0.551530			0.275765	+	0.961225i	$0.411069\pi$
$294$	−25.8310	−	2.07531i	−1.50649	−	0.121035i
$295$			3.82731i			0.222835i
$296$	−32.4304	−	5.38793i	−1.88498	−	0.313167i
$297$	2.05167	+	1.18453i	0.119050	+	0.0687335i
$298$	3.75997	+	3.52397i	0.217809	+	0.204138i
$299$	1.09907	−	0.634550i	0.0635610	−	0.0366970i
$300$	2.31875	−	4.69398i	0.133873	−	0.271007i
$301$	−8.62176	+	10.0150i	−0.496950	+	0.577257i
$302$	−5.25006	+	22.4820i	−0.302107	+	1.29370i
$303$	28.8068	−	16.6316i	1.65491	−	0.955460i
$304$	1.21569	+	9.33118i	0.0697246	+	0.535180i
$305$	6.51711	−	11.2880i	0.373168	−	0.646347i
$306$	24.9643	−	7.56366i	1.42711	−	0.432386i
$307$			10.3689i			0.591782i	0.955222	+	0.295891i	$0.0956165\pi$
$307$			10.3689i			0.591782i	−0.955222	+	0.295891i	$0.904384\pi$
$308$	4.48546	+	3.38165i	0.255583	+	0.192687i
$309$		−	1.76544i		−	0.100433i
$310$	−3.92475	−	12.9539i	−0.222911	−	0.735731i
$311$	10.3775	−	17.9743i	0.588454	−	1.01923i	−0.405981	−	0.913881i	$-0.633070\pi$
$311$	10.3775	−	17.9743i	0.588454	−	1.01923i	0.994435	−	0.105350i	$-0.0335964\pi$
$312$	2.16264	+	5.76365i	0.122435	+	0.326302i
$313$	0.926714	−	0.535039i	0.0523810	−	0.0302422i	−0.473581	−	0.880750i	$-0.657039\pi$
$313$	0.926714	−	0.535039i	0.0523810	−	0.0302422i	0.525962	+	0.850508i	$0.323705\pi$
$314$	−20.9733	−	4.89774i	−1.18359	−	0.276396i
$315$	−3.36473	−	9.62139i	−0.189581	−	0.542104i
$316$	−8.36555	+	16.9349i	−0.470599	+	0.952663i
$317$	−9.56540	+	5.52258i	−0.537246	+	0.310179i	−0.743962	−	0.668222i	$-0.767056\pi$
$317$	−9.56540	+	5.52258i	−0.537246	+	0.310179i	0.206716	+	0.978401i	$0.433722\pi$
$318$	−19.3242	+	20.6183i	−1.08365	+	1.15622i
$319$	−2.82997	−	1.63388i	−0.158448	−	0.0914799i
$320$	6.02536	−	5.26261i	0.336828	−	0.294189i
$321$		−	19.8792i		−	1.10955i
$322$	−5.67855	+	0.609986i	−0.316453	+	0.0339932i
$323$	−11.2632			−0.626704
$324$	0.739971	+	11.4075i	0.0411095	+	0.633748i
$325$	−0.415720	+	0.720048i	−0.0230600	+	0.0399411i
$326$	−5.34917	+	5.70740i	−0.296263	+	0.316104i
$327$	4.30631	+	7.45874i	0.238139	+	0.412469i
$328$	15.7423	−	19.1426i	0.869223	−	1.05697i
$329$	−9.14398	−	1.73183i	−0.504124	−	0.0954789i
$330$	−0.893702	+	3.82705i	−0.0491967	+	0.210672i
$331$	12.8859	+	22.3190i	0.708271	+	1.22676i	0.965498	+	0.260410i	$0.0838578\pi$
$331$	12.8859	+	22.3190i	0.708271	+	1.22676i	−0.257227	+	0.966351i	$0.582809\pi$
$332$	−15.2713	−	22.8884i	−0.838120	−	1.25616i
$333$	−38.7787	−	22.3889i	−2.12506	−	1.22690i
$334$	4.57118	+	15.0874i	0.250124	+	0.825548i
$335$	14.7371			0.805174
$336$	1.59555	−	27.6575i	0.0870443	−	1.50884i
$337$	−16.8577			−0.918299			−0.459149	−	0.888359i	$-0.651846\pi$
$337$	−16.8577			−0.918299			−0.459149	+	0.888359i	$0.651846\pi$
$338$	5.04742	+	16.6593i	0.274543	+	0.906146i
$339$	34.1302	+	19.7051i	1.85370	+	1.07023i
$340$	5.31451	+	7.96533i	0.288220	+	0.431981i
$341$	5.08019	+	8.79916i	0.275108	+	0.476501i
$342$	−2.91466	+	12.4813i	−0.157607	+	0.674911i
$343$	−15.6763	−	9.86180i	−0.846438	−	0.532487i
$344$	−10.9116	−	8.97336i	−0.588313	−	0.483811i
$345$	−1.99783	−	3.46035i	−0.107560	−	0.186299i
$346$	1.76177	−	1.87975i	0.0947131	−	0.101056i
$347$	−17.5896	+	30.4662i	−0.944262	+	1.63551i	−0.187039	+	0.982352i	$0.559889\pi$
$347$	−17.5896	+	30.4662i	−0.944262	+	1.63551i	−0.757223	+	0.653157i	$0.773444\pi$
$348$	1.04319	+	16.0820i	0.0559210	+	0.862084i
$349$	14.2781			0.764290			0.382145	−	0.924102i	$-0.375185\pi$
$349$	14.2781			0.764290			0.382145	+	0.924102i	$0.375185\pi$
$350$	3.02202	−	2.20621i	0.161534	−	0.117927i
$351$			1.85546i			0.0990374i
$352$	−3.50613	+	4.87544i	−0.186877	+	0.259862i
$353$	−21.0137	−	12.1322i	−1.11844	−	0.645734i	−0.177441	−	0.984132i	$-0.556782\pi$
$353$	−21.0137	−	12.1322i	−1.11844	−	0.645734i	−0.941003	+	0.338398i	$0.890115\pi$
$354$	−9.68917	+	10.3380i	−0.514973	+	0.549461i
$355$	8.65723	−	4.99825i	0.459478	−	0.265280i
$356$	−10.4188	+	21.0914i	−0.552195	+	1.11784i
$357$	32.5801	+	6.17054i	1.72432	+	0.326580i
$358$	3.53698	+	0.825963i	0.186935	+	0.0436535i
$359$	−7.32290	+	4.22788i	−0.386488	+	0.223139i	−0.680637	−	0.732620i	$-0.738297\pi$
$359$	−7.32290	+	4.22788i	−0.386488	+	0.223139i	0.294149	+	0.955759i	$0.404964\pi$
$360$	10.2020	−	3.82800i	0.537693	−	0.201753i
$361$	−6.73285	+	11.6616i	−0.354361	+	0.613771i
$362$	−4.83816	−	15.9686i	−0.254288	−	0.839292i
$363$			25.8449i			1.35651i
$364$	−0.537173	+	4.36665i	−0.0281555	+	0.228875i
$365$			8.15339i			0.426768i
$366$	46.1800	−	13.9916i	2.41387	−	0.731351i
$367$	−11.3411	+	19.6433i	−0.592000	+	1.02537i	0.401963	+	0.915656i	$0.368328\pi$
$367$	−11.3411	+	19.6433i	−0.592000	+	1.02537i	−0.993963	+	0.109718i	$0.965005\pi$
$368$	−0.788782	−	6.05439i	−0.0411181	−	0.315607i
$369$	29.2351	−	16.8789i	1.52192	−	0.878680i
$370$	3.73794	−	16.0068i	0.194326	−	0.832153i
$371$	−19.0635	+	6.66677i	−0.989728	+	0.346122i
$372$	22.1926	−	44.9259i	1.15063	−	2.32930i
$373$	17.9804	−	10.3810i	0.930992	−	0.537508i	0.0438667	−	0.999037i	$-0.486032\pi$
$373$	17.9804	−	10.3810i	0.930992	−	0.537508i	0.887125	+	0.461529i	$0.152699\pi$
$374$	−5.24453	−	4.91536i	−0.271188	−	0.254167i
$375$	2.26702	+	1.30886i	0.117068	+	0.0675895i
$376$	1.63058	−	9.81457i	0.0840906	−	0.506148i
$377$		−	2.55934i		−	0.131812i
$378$	3.37877	−	7.63585i	0.173785	−	0.392746i
$379$	−12.4789			−0.640997			−0.320498	−	0.947249i	$-0.603850\pi$
$379$	−12.4789			−0.640997			−0.320498	+	0.947249i	$0.603850\pi$
$380$	−4.69515	+	0.304561i	−0.240856	+	0.0156237i
$381$	−11.8664	+	20.5532i	−0.607934	+	1.05297i
$382$	−1.60427	−	1.50358i	−0.0820817	−	0.0769298i
$383$	2.86705	+	4.96588i	0.146499	+	0.253744i	0.929931	−	0.367733i	$-0.119866\pi$
$383$	2.86705	+	4.96588i	0.146499	+	0.253744i	−0.783432	+	0.621478i	$0.786533\pi$
$384$	29.5980	+	1.03877i	1.51042	+	0.0530097i
$385$	−1.83245	+	2.12858i	−0.0933905	+	0.108482i
$386$	4.03178	+	0.941509i	0.205212	+	0.0479216i
$387$	−9.62123	−	16.6645i	−0.489075	−	0.847102i
$388$	6.67793	+	10.0088i	0.339021	+	0.508121i
$389$	−10.6658	−	6.15789i	−0.540776	−	0.312217i	0.204617	−	0.978842i	$-0.434405\pi$
$389$	−10.6658	−	6.15789i	−0.540776	−	0.312217i	−0.745393	+	0.666625i	$0.767738\pi$
$390$	−2.94578	+	0.892509i	−0.149165	+	0.0451939i
$391$	7.30797			0.369580
$392$	10.1623	−	16.9920i	0.513271	−	0.858226i
$393$	−30.4143			−1.53420
$394$	11.2740	−	3.41579i	0.567976	−	0.172085i
$395$	−8.17894	−	4.72211i	−0.411527	−	0.237595i
$396$	−6.80408	+	4.53972i	−0.341918	+	0.228129i
$397$	4.71322	+	8.16353i	0.236550	+	0.409716i	0.959722	−	0.280952i	$-0.0906501\pi$
$397$	4.71322	+	8.16353i	0.236550	+	0.409716i	−0.723172	+	0.690668i	$0.757317\pi$
$398$	−22.5105	−	5.25671i	−1.12835	−	0.263495i
$399$	−10.6300	+	12.3478i	−0.532167	+	0.618165i
$400$	2.43077	+	3.17669i	0.121538	+	0.158834i
$401$	−4.36749	−	7.56471i	−0.218102	−	0.377764i	0.736126	−	0.676845i	$-0.236653\pi$
$401$	−4.36749	−	7.56471i	−0.218102	−	0.377764i	−0.954228	+	0.299081i	$0.903320\pi$
$402$	39.8068	+	37.3083i	1.98538	+	1.86077i
$403$	−3.97884	+	6.89155i	−0.198200	+	0.343293i
$404$	1.64506	+	25.3605i	0.0818450	+	1.26173i
$405$	−5.71572			−0.284016
$406$	−4.66051	+	10.5325i	−0.231297	+	0.522719i
$407$			12.3388i			0.611613i
$408$	−5.80978	+	34.9695i	−0.287627	+	1.73125i
$409$	−1.47110	−	0.849342i	−0.0727414	−	0.0419973i	0.463188	−	0.886260i	$-0.346705\pi$
$409$	−1.47110	−	0.849342i	−0.0727414	−	0.0419973i	−0.535930	+	0.844263i	$0.680039\pi$
$410$	9.04171	+	8.47421i	0.446538	+	0.418511i
$411$	−1.16965	+	0.675297i	−0.0576945	+	0.0333100i
$412$	1.20933	+	0.597390i	0.0595796	+	0.0294313i
$413$	−9.55846	+	3.34273i	−0.470341	+	0.164485i
$414$	1.89113	−	8.09829i	0.0929440	−	0.398009i
$415$	11.9145	−	6.87882i	0.584858	−	0.337668i
$416$	−4.67990	−	0.468886i	−0.229451	−	0.0229890i
$417$	12.2394	−	21.1992i	0.599366	−	1.03813i
$418$	3.38010	−	1.02410i	0.165326	−	0.0500904i
$419$		−	31.2350i		−	1.52593i	−0.646441	−	0.762964i	$-0.723743\pi$
$419$		−	31.2350i		−	1.52593i	0.646441	−	0.762964i	$-0.276257\pi$
$420$	13.7481	+	1.69125i	0.670838	+	0.0825246i
$421$		−	5.19927i		−	0.253397i	−0.991941	−	0.126698i	$-0.959562\pi$
$421$		−	5.19927i		−	0.253397i	0.991941	−	0.126698i	$-0.0404380\pi$
$422$	−4.90890	−	16.2021i	−0.238962	−	0.788707i
$423$	6.77567	−	11.7358i	0.329444	−	0.570614i
$424$	−7.58467	−	20.2139i	−0.368344	−	0.981674i
$425$	−4.14632	+	2.39388i	−0.201126	+	0.116120i
$426$	36.0378	+	8.41562i	1.74604	+	0.407738i
$427$	33.8829	+	6.41729i	1.63971	+	0.310554i
$428$	13.6173	+	6.72671i	0.658217	+	0.325148i
$429$	2.00097	−	1.15526i	0.0966078	−	0.0557766i
$430$	4.83043	−	5.15392i	0.232944	−	0.248544i
$431$	−6.96178	−	4.01939i	−0.335337	−	0.193607i	0.322871	−	0.946443i	$-0.395352\pi$
$431$	−6.96178	−	4.01939i	−0.335337	−	0.193607i	−0.658208	+	0.752836i	$0.728685\pi$
$432$	8.24241	+	3.42713i	0.396563	+	0.164888i
$433$		−	1.55972i		−	0.0749554i	−0.999297	−	0.0374777i	$-0.988068\pi$
$433$		−	1.55972i		−	0.0749554i	0.999297	−	0.0374777i	$-0.0119323\pi$
$434$	28.9237	−	21.1156i	1.38838	−	1.01358i
$435$	−8.05788			−0.386346
$436$	−6.56642	+	0.425945i	−0.314474	+	0.0203991i
$437$	−1.79542	+	3.10976i	−0.0858866	+	0.148760i
$438$	−20.6410	+	22.0233i	−0.986266	+	1.05231i
$439$	14.5960	+	25.2810i	0.696628	+	1.20659i	0.969629	+	0.244581i	$0.0786505\pi$
$439$	14.5960	+	25.2810i	0.696628	+	1.20659i	−0.273001	+	0.962014i	$0.588016\pi$
$440$	−2.31913	−	1.90718i	−0.110560	−	0.0909214i
$441$	21.0901	−	16.8064i	1.00429	−	0.800306i
$442$	1.28020	−	5.48211i	0.0608927	−	0.260758i
$443$	0.172721	+	0.299162i	0.00820624	+	0.0142136i	0.870099	−	0.492876i	$-0.164055\pi$
$443$	0.172721	+	0.299162i	0.00820624	+	0.0142136i	−0.861893	+	0.507090i	$0.830721\pi$
$444$	50.6192	−	33.7734i	2.40228	−	1.60281i
$445$	−10.1864	−	5.88110i	−0.482880	−	0.278791i
$446$	−10.8668	−	35.8666i	−0.514559	−	1.69833i
$447$	−9.53869			−0.451164
$448$	18.4055	+	10.4517i	0.869579	+	0.493795i
$449$	31.8546			1.50331			0.751656	−	0.659555i	$-0.229255\pi$
$449$	31.8546			1.50331			0.751656	+	0.659555i	$0.229255\pi$
$450$	1.57979	+	5.21420i	0.0744721	+	0.245800i
$451$	−8.05594	−	4.65110i	−0.379339	−	0.219012i
$452$	−25.0470	+	16.7115i	−1.17811	+	0.786041i
$453$	−21.3671	−	37.0089i	−1.00391	−	1.73883i
$454$	−3.15593	+	13.5145i	−0.148115	+	0.634265i
$455$	−2.16136	−	0.409353i	−0.101326	−	0.0191907i
$456$	−13.4532	−	11.0635i	−0.630004	−	0.518097i
$457$	−8.96314	−	15.5246i	−0.419278	−	0.726211i	0.576589	−	0.817034i	$-0.304383\pi$
$457$	−8.96314	−	15.5246i	−0.419278	−	0.726211i	−0.995867	+	0.0908235i	$0.971050\pi$
$458$	−19.7188	+	21.0394i	−0.921401	+	0.983106i
$459$	−5.34225	+	9.25304i	−0.249355	+	0.431895i
$460$	3.04637	−	0.197610i	0.142038	−	0.00921361i
$461$	7.34814			0.342237			0.171119	−	0.985250i	$-0.445262\pi$
$461$	7.34814			0.342237			0.171119	+	0.985250i	$0.445262\pi$
$462$	−10.3384	+	1.11054i	−0.480985	+	0.0516670i
$463$		−	38.4082i		−	1.78498i	−0.451069	−	0.892489i	$-0.648957\pi$
$463$		−	38.4082i		−	1.78498i	0.451069	−	0.892489i	$-0.351043\pi$
$464$	−11.3692	−	4.72721i	−0.527801	−	0.219455i
$465$	21.6976	+	12.5271i	1.00620	+	0.580930i
$466$	18.1818	−	19.3995i	0.842258	−	0.898663i
$467$	1.63140	−	0.941892i	0.0754924	−	0.0435855i	−0.461779	−	0.886995i	$-0.652789\pi$
$467$	1.63140	−	0.941892i	0.0754924	−	0.0435855i	0.537271	+	0.843410i	$0.319455\pi$
$468$	−5.74369	−	2.83728i	−0.265502	−	0.131153i
$469$	12.8712	+	36.8050i	0.594338	+	1.69950i
$470$	4.84422	+	1.13123i	0.223447	+	0.0521799i
$471$	34.5253	−	19.9332i	1.59084	−	0.918474i
$472$	−3.80297	−	10.1353i	−0.175046	−	0.466514i
$473$	−2.65120	+	4.59201i	−0.121902	+	0.211141i
$474$	−10.1379	−	33.4607i	−0.465649	−	1.53690i
$475$		−	2.35251i		−	0.107941i
$476$	−15.2513	+	20.2295i	−0.699041	+	0.927217i
$477$		−	29.4070i		−	1.34646i
$478$	23.9257	−	7.24898i	1.09433	−	0.331560i
$479$	2.87010	−	4.97116i	0.131138	−	0.227138i	−0.792977	−	0.609251i	$-0.791470\pi$
$479$	2.87010	−	4.97116i	0.131138	−	0.227138i	0.924116	+	0.382113i	$0.124803\pi$
$480$	−1.47625	+	14.7343i	−0.0673815	+	0.672528i
$481$	−8.36914	+	4.83192i	−0.381600	+	0.220317i
$482$	1.08246	−	4.63538i	0.0493049	−	0.211136i
$483$	6.89712	−	8.01170i	0.313830	−	0.364545i
$484$	−17.7038	−	8.74539i	−0.804720	−	0.397518i
$485$	−5.21005	+	3.00802i	−0.236576	+	0.136587i
$486$	−22.3470	−	20.9444i	−1.01368	−	0.950058i
$487$	8.46493	+	4.88723i	0.383583	+	0.221461i	0.679376	−	0.733790i	$-0.262251\pi$
$487$	8.46493	+	4.88723i	0.383583	+	0.221461i	−0.295793	+	0.955252i	$0.595584\pi$
$488$	−6.04209	+	36.3678i	−0.273513	+	1.64629i
$489$		−	14.4791i		−	0.654769i
$490$	8.14928	+	5.62043i	0.368147	+	0.253905i
$491$	−6.81442			−0.307530			−0.153765	−	0.988107i	$-0.549140\pi$
$491$	−6.81442			−0.307530			−0.153765	+	0.988107i	$0.549140\pi$
$492$	2.96961	+	45.7798i	0.133880	+	2.06391i
$493$	7.36883	−	12.7632i	0.331875	−	0.574825i
$494$	2.01828	+	1.89160i	0.0908069	+	0.0851073i
$495$	−2.04488	−	3.54184i	−0.0919105	−	0.159194i
$496$	23.2648	+	30.4040i	1.04462	+	1.36518i
$497$	20.0440	+	17.2555i	0.899094	+	0.774013i
$498$	49.5968	+	11.5820i	2.22249	+	0.519000i
$499$	−10.3761	−	17.9719i	−0.464497	−	0.804532i	0.534682	−	0.845053i	$-0.320431\pi$
$499$	−10.3761	−	17.9719i	−0.464497	−	0.804532i	−0.999179	+	0.0405216i	$0.987098\pi$
$500$	−1.66369	+	1.11002i	−0.0744023	+	0.0496416i
$501$	−25.2713	−	14.5904i	−1.12904	−	0.651850i
$502$	−16.0394	+	4.85961i	−0.715875	+	0.216895i
$503$	−15.9862			−0.712789			−0.356395	−	0.934336i	$-0.615994\pi$
$503$	−15.9862			−0.712789			−0.356395	+	0.934336i	$0.615994\pi$
$504$	18.4705	+	22.1355i	0.822742	+	0.985994i
$505$	−12.7069			−0.565449
$506$	−2.19313	+	0.664472i	−0.0974964	+	0.0295394i
$507$	−27.9041	−	16.1104i	−1.23926	−	0.715489i
$508$	−10.0636	−	15.0833i	−0.446502	−	0.669212i
$509$	4.40064	+	7.62213i	0.195055	+	0.337845i	0.946919	−	0.321474i	$-0.104178\pi$
$509$	4.40064	+	7.62213i	0.195055	+	0.337845i	−0.751864	+	0.659319i	$0.770845\pi$
$510$	−17.2600	−	4.03060i	−0.764287	−	0.178478i
$511$	−20.3626	+	7.12108i	−0.900787	+	0.315018i
$512$	−10.7269	+	19.9232i	−0.474067	+	0.880489i
$513$	−2.62496	−	4.54657i	−0.115895	−	0.200736i
$514$	−10.1563	−	9.51880i	−0.447974	−	0.419856i
$515$	−0.337209	+	0.584063i	−0.0148592	+	0.0257369i
$516$	26.0952	−	1.69272i	1.14878	−	0.0745180i
$517$	−3.73417			−0.164228
$518$	43.2406	−	4.64487i	1.89988	−	0.204084i
$519$			4.76875i			0.209325i
$520$	0.385419	−	2.31987i	0.0169018	−	0.101733i
$521$	−18.9597	−	10.9464i	−0.830641	−	0.479571i	0.0234312	−	0.999725i	$-0.492541\pi$
$521$	−18.9597	−	10.9464i	−0.830641	−	0.479571i	−0.854072	+	0.520155i	$0.825874\pi$
$522$	−12.2366	−	11.4685i	−0.535580	−	0.501964i
$523$	−2.23839	+	1.29233i	−0.0978779	+	0.0565099i	−0.548140	−	0.836387i	$-0.684664\pi$
$523$	−2.23839	+	1.29233i	−0.0978779	+	0.0565099i	0.450262	+	0.892896i	$0.351331\pi$
$524$	10.2916	−	20.8338i	0.449588	−	0.910130i
$525$	−1.28882	+	6.80489i	−0.0562486	+	0.296990i
$526$	−2.61611	+	11.2028i	−0.114068	+	0.488467i
$527$	−39.6843	+	22.9117i	−1.72867	+	0.998050i
$528$	−1.43606	−	11.0226i	−0.0624963	−	0.479698i
$529$	−10.3351	+	17.9009i	−0.449351	+	0.778299i
$530$	10.3312	−	3.13015i	0.448760	−	0.135965i
$531$		−	14.7447i		−	0.639867i
$532$	−4.86131	−	11.4598i	−0.210765	−	0.496847i
$533$		−	7.28554i		−	0.315572i
$534$	−12.6261	−	41.6733i	−0.546386	−	1.80338i
$535$	−3.79703	+	6.57665i	−0.164160	+	0.284334i
$536$	−39.0260	+	14.6434i	−1.68567	+	0.632497i
$537$	−5.82241	+	3.36157i	−0.251255	+	0.145062i
$538$	−34.4382	−	8.04210i	−1.48474	−	0.346719i
$539$	−6.91644	−	2.71736i	−0.297912	−	0.117045i
$540$	−1.97674	+	4.00164i	−0.0850654	+	0.172203i
$541$	−19.9482	+	11.5171i	−0.857639	+	0.495158i	−0.863221	−	0.504826i	$-0.831556\pi$
$541$	−19.9482	+	11.5171i	−0.857639	+	0.495158i	0.00558207	+	0.999984i	$0.498223\pi$
$542$	9.23057	−	9.84873i	0.396487	−	0.423039i
$543$	26.7472	+	15.4425i	1.14783	+	0.662702i
$544$	−21.9883	−	15.8127i	−0.942739	−	0.677962i
$545$		−	3.29011i		−	0.140933i
$546$	−4.80179	−	6.57738i	−0.205498	−	0.281486i
$547$	7.90194			0.337863			0.168931	−	0.985628i	$-0.445968\pi$
$547$	7.90194			0.337863			0.168931	+	0.985628i	$0.445968\pi$
$548$	−0.0667950	−	1.02972i	−0.00285334	−	0.0439874i
$549$	−25.1072	+	43.4869i	−1.07155	+	1.85598i
$550$	1.02665	−	1.09540i	0.0437766	−	0.0467082i
$551$	3.62074	+	6.27131i	0.154249	+	0.267167i
$552$	8.72890	+	7.17839i	0.371527	+	0.305533i
$553$	4.64978	−	24.5506i	0.197729	−	1.04400i
$554$	−0.424601	+	1.81824i	−0.0180396	+	0.0772498i
$555$	15.2130	+	26.3496i	0.645754	+	1.11848i
$556$	10.3800	+	15.5574i	0.440209	+	0.659780i
$557$	−3.75347	−	2.16707i	−0.159040	−	0.0918216i	0.418368	−	0.908278i	$-0.362602\pi$
$557$	−3.75347	−	2.16707i	−0.159040	−	0.0918216i	−0.577408	+	0.816456i	$0.695936\pi$
$558$	15.1201	+	49.9049i	0.640086	+	2.11264i
$559$	−4.15287			−0.175648
$560$	−5.81058	+	8.84518i	−0.245542	+	0.373777i
$561$	13.3049			0.561733
$562$	−11.3374	−	37.4197i	−0.478239	−	1.57845i
$563$	−15.5194	−	8.96012i	−0.654064	−	0.377624i	0.135948	−	0.990716i	$-0.456592\pi$
$563$	−15.5194	−	8.96012i	−0.654064	−	0.377624i	−0.790011	+	0.613092i	$0.789925\pi$
$564$	10.2210	+	15.3192i	0.430383	+	0.645053i
$565$	−7.52754	−	13.0381i	−0.316686	−	0.548517i
$566$	0.240065	−	1.02802i	0.0100907	−	0.0432107i
$567$	−4.99204	−	14.2746i	−0.209646	−	0.599479i
$568$	−17.9592	+	21.8383i	−0.753549	+	0.916314i
$569$	2.80014	+	4.84999i	0.117388	+	0.203322i	0.918732	−	0.394882i	$-0.129215\pi$
$569$	2.80014	+	4.84999i	0.117388	+	0.203322i	−0.801344	+	0.598204i	$0.795881\pi$
$570$	5.95558	−	6.35442i	0.249452	−	0.266157i
$571$	11.5275	−	19.9663i	0.482412	−	0.835562i	−0.517384	−	0.855753i	$-0.673094\pi$
$571$	11.5275	−	19.9663i	0.482412	−	0.835562i	0.999796	+	0.0201912i	$0.00642748\pi$
$572$	0.114269	+	1.76159i	0.00477784	+	0.0736556i
$573$	4.06989			0.170022
$574$	−13.2669	+	29.9824i	−0.553748	+	1.25144i
$575$			1.52639i			0.0636548i
$576$	−23.2127	+	20.2742i	−0.967197	+	0.844759i
$577$	−1.95920	−	1.13114i	−0.0815624	−	0.0470900i	0.458664	−	0.888610i	$-0.348328\pi$
$577$	−1.95920	−	1.13114i	−0.0815624	−	0.0470900i	−0.540227	+	0.841520i	$0.681661\pi$
$578$	5.72773	−	6.11130i	0.238242	−	0.254197i
$579$	−6.63692	+	3.83183i	−0.275821	+	0.159245i
$580$	2.72662	−	5.51967i	0.113217	−	0.229192i
$581$	27.5854	+	23.7478i	1.14443	+	0.985223i
$582$	−21.6881	−	5.06465i	−0.898999	−	0.209936i
$583$	−7.01768	+	4.05166i	−0.290643	+	0.167803i
$584$	−8.10153	−	21.5914i	−0.335244	−	0.893457i
$585$	1.60156	−	2.77399i	0.0662165	−	0.114690i
$586$	−3.87133	−	12.7775i	−0.159923	−	0.527836i
$587$			23.9357i			0.987932i	0.869481	+	0.493966i	$0.164453\pi$
$587$			23.9357i			0.987932i	−0.869481	+	0.493966i	$0.835547\pi$
$588$	7.78363	+	35.8121i	0.320991	+	1.47687i
$589$		−	22.5158i		−	0.927746i
$590$	5.18010	−	1.56946i	0.213261	−	0.0646137i
$591$	−10.9026	+	18.8838i	−0.448471	+	0.776775i
$592$	6.00636	+	46.1025i	0.246860	+	1.89480i
$593$	22.7060	−	13.1093i	0.932422	−	0.538334i	0.0448454	−	0.998994i	$-0.485720\pi$
$593$	22.7060	−	13.1093i	0.932422	−	0.538334i	0.887577	+	0.460660i	$0.152387\pi$
$594$	0.761886	−	3.26258i	0.0312605	−	0.133865i
$595$	−9.59991	−	8.26439i	−0.393558	−	0.338807i
$596$	3.22769	−	6.53402i	0.132211	−	0.267644i
$597$	37.0558	−	21.3942i	1.51659	−	0.875606i
$598$	−1.30953	−	1.22734i	−0.0535507	−	0.0501896i
$599$	21.8531	+	12.6169i	0.892894	+	0.515513i	0.874888	−	0.484325i	$-0.160935\pi$
$599$	21.8531	+	12.6169i	0.892894	+	0.515513i	0.0180062	+	0.999838i	$0.494268\pi$
$600$	−7.30394	−	1.21347i	−0.298182	−	0.0495395i
$601$			36.0223i			1.46938i	0.678404	+	0.734689i	$0.262672\pi$
$601$			36.0223i			1.46938i	−0.678404	+	0.734689i	$0.737328\pi$
$602$	17.0904	+	7.56232i	0.696554	+	0.308217i
$603$	−56.7748			−2.31205
$604$	32.5813	−	2.11346i	1.32572	−	0.0859955i
$605$	4.93652	−	8.55030i	0.200698	−	0.347619i
$606$	−34.3229	−	32.1686i	−1.39427	−	1.30676i
$607$	14.7983	+	25.6315i	0.600646	+	1.04035i	0.992723	+	0.120417i	$0.0384232\pi$
$607$	14.7983	+	25.6315i	0.600646	+	1.04035i	−0.392078	+	0.919932i	$0.628244\pi$
$608$	12.1308	−	5.47181i	0.491970	−	0.221911i
$609$	−7.03766	−	20.1241i	−0.285181	−	0.815468i
$610$	−17.9502	−	4.19178i	−0.726783	−	0.169720i
$611$	−1.46231	−	2.53280i	−0.0591588	−	0.102466i
$612$	−20.4742	−	30.6865i	−0.827619	−	1.24043i
$613$	36.2849	+	20.9491i	1.46553	+	0.846126i	0.999258	−	0.0385129i	$-0.0122621\pi$
$613$	36.2849	+	20.9491i	1.46553	+	0.846126i	0.466276	+	0.884639i	$0.345595\pi$
$614$	14.0338	−	4.25194i	0.566358	−	0.171594i
$615$	−22.9380			−0.924949
$616$	2.73757	−	7.45759i	0.110300	−	0.300475i
$617$	−27.0195			−1.08776			−0.543882	−	0.839162i	$-0.683046\pi$
$617$	−27.0195			−1.08776			−0.543882	+	0.839162i	$0.683046\pi$
$618$	−2.38945	+	0.723954i	−0.0961178	+	0.0291217i
$619$	40.2079	+	23.2141i	1.61609	+	0.933052i	0.987918	+	0.154980i	$0.0495313\pi$
$619$	40.2079	+	23.2141i	1.61609	+	0.933052i	0.628176	+	0.778072i	$0.283802\pi$
$620$	−15.9231	+	10.6240i	−0.639487	+	0.426669i
$621$	1.70316	+	2.94997i	0.0683456	+	0.118378i
$622$	−28.5830	−	6.67476i	−1.14607	−	0.267634i
$623$	5.79103	−	30.5763i	0.232013	−	1.22501i
$624$	6.91402	−	5.29053i	0.276782	−	0.211791i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−1.10417	−	1.03486i	−0.0441314	−	0.0413615i
$627$	−3.26874	+	5.66163i	−0.130541	+	0.226104i
$628$	1.97163	+	30.3949i	0.0786767	+	1.21289i
$629$	−55.6482			−2.21884
$630$	−11.6424	+	8.49945i	−0.463843	+	0.338626i
$631$		−	23.9781i		−	0.954555i	−0.878753	−	0.477277i	$-0.841624\pi$
$631$		−	23.9781i		−	0.954555i	0.878753	−	0.477277i	$-0.158376\pi$
$632$	26.3511	+	4.37793i	1.04819	+	0.174145i
$633$	27.1383	+	15.6683i	1.07865	+	0.622759i
$634$	11.3970	+	10.6817i	0.452635	+	0.424225i
$635$	7.85154	−	4.53309i	0.311579	−	0.179890i
$636$	35.8302	+	17.6995i	1.42076	+	0.701831i
$637$	−0.865375	−	5.75539i	−0.0342874	−	0.228037i
$638$	−1.05091	+	4.50024i	−0.0416058	+	0.178166i
$639$	−33.3520	+	19.2558i	−1.31939	+	0.761748i
$640$	−9.59352	−	5.99703i	−0.379217	−	0.237054i
$641$	10.8998	−	18.8790i	0.430516	−	0.745676i	−0.566401	−	0.824129i	$-0.691665\pi$
$641$	10.8998	−	18.8790i	0.430516	−	0.745676i	0.996918	+	0.0784533i	$0.0249982\pi$
$642$	−26.9056	+	8.15184i	−1.06188	+	0.321728i
$643$		−	7.09006i		−	0.279605i	−0.990179	−	0.139802i	$-0.955353\pi$
$643$		−	7.09006i		−	0.279605i	0.990179	−	0.139802i	$-0.0446467\pi$
$644$	3.15419	+	7.43554i	0.124292	+	0.293001i
$645$			13.0750i			0.514828i
$646$	4.61870	+	15.2443i	0.181721	+	0.599779i
$647$	6.27831	−	10.8744i	0.246826	−	0.427515i	−0.715817	−	0.698287i	$-0.753946\pi$
$647$	6.27831	−	10.8744i	0.246826	−	0.427515i	0.962643	+	0.270772i	$0.0872791\pi$
$648$	15.1361	−	5.67936i	0.594601	−	0.223106i
$649$	−3.51867	+	2.03151i	−0.138120	+	0.0797436i
$650$	1.14503	+	0.267389i	0.0449117	+	0.0104879i
$651$	−12.3352	+	65.1293i	−0.483455	+	2.55262i
$652$	9.91824	+	4.89944i	0.388428	+	0.191877i
$653$	3.51459	−	2.02915i	0.137537	−	0.0794068i	−0.429653	−	0.902994i	$-0.641364\pi$
$653$	3.51459	−	2.02915i	0.137537	−	0.0794068i	0.567189	+	0.823587i	$0.308031\pi$
$654$	8.32920	−	8.88700i	0.325697	−	0.347509i
$655$	10.0620	+	5.80928i	0.393154	+	0.226987i
$656$	−32.3641	−	13.4567i	−1.26361	−	0.525397i
$657$		−	31.4110i		−	1.22546i
$658$	1.40570	+	13.0861i	0.0548000	+	0.510151i
$659$	−15.1907			−0.591746			−0.295873	−	0.955227i	$-0.595610\pi$
$659$	−15.1907			−0.591746			−0.295873	+	0.955227i	$0.595610\pi$
$660$	5.54623	−	0.359768i	0.215887	−	0.0140040i
$661$	−9.77442	+	16.9298i	−0.380181	+	0.658492i	−0.991088	−	0.133210i	$-0.957472\pi$
$661$	−9.77442	+	16.9298i	−0.380181	+	0.658492i	0.610907	+	0.791702i	$0.290805\pi$
$662$	24.9237	−	26.5928i	0.968685	−	1.03356i
$663$	5.21024	+	9.02440i	0.202349	+	0.350479i
$664$	−24.7162	+	30.0548i	−0.959174	+	1.16635i
$665$	5.87524	−	2.05465i	0.227832	−	0.0796761i
$666$	−14.4004	+	61.6662i	−0.558006	+	2.38952i
$667$	−2.34926	−	4.06904i	−0.0909637	−	0.157554i
$668$	18.5457	−	12.3738i	0.717555	−	0.478756i
$669$	60.0760	+	34.6849i	2.32267	+	1.34099i
$670$	−6.04323	−	19.9460i	−0.233470	−	0.770582i
$671$	13.8369			0.534168
$672$	−38.0874	+	9.18196i	−1.46925	+	0.354202i
$673$	−49.5831			−1.91129			−0.955644	−	0.294524i	$-0.904839\pi$
$673$	−49.5831			−1.91129			−0.955644	+	0.294524i	$0.904839\pi$
$674$	6.91283	+	22.8162i	0.266272	+	0.878847i
$675$	−1.93265	−	1.11581i	−0.0743876	−	0.0429477i
$676$	20.4778	−	13.6629i	0.787609	−	0.525497i
$677$	−13.1028	−	22.6948i	−0.503582	−	0.872230i	−0.999991	−	0.00414150i	$-0.998682\pi$
$677$	−13.1028	−	22.6948i	−0.503582	−	0.872230i	0.496409	−	0.868089i	$-0.334652\pi$
$678$	12.6742	−	54.2741i	0.486751	−	2.08439i
$679$	−12.0627	−	10.3846i	−0.462926	−	0.398524i
$680$	8.60141	−	10.4593i	0.329849	−	0.401095i
$681$	−12.8442	−	22.2469i	−0.492192	−	0.852502i
$682$	9.82604	−	10.4841i	0.376259	−	0.401456i
$683$	12.5578	−	21.7507i	0.480510	−	0.832268i	−0.519240	−	0.854629i	$-0.673785\pi$
$683$	12.5578	−	21.7507i	0.480510	−	0.832268i	0.999750	+	0.0223606i	$0.00711819\pi$
$684$	18.0881	−	1.17332i	0.691615	−	0.0448632i
$685$	0.515941			0.0197131
$686$	−6.91917	+	25.2611i	−0.264175	+	0.964475i
$687$		−	53.3750i		−	2.03638i
$688$	−7.67055	+	18.4480i	−0.292437	+	0.703325i
$689$	−5.49629	−	3.17329i	−0.209392	−	0.120893i
$690$	−3.86418	+	4.12296i	−0.147107	+	0.156959i
$691$	2.76681	−	1.59742i	0.105254	−	0.0607686i	−0.446449	−	0.894809i	$-0.647312\pi$
$691$	2.76681	−	1.59742i	0.105254	−	0.0607686i	0.551703	+	0.834041i	$0.313978\pi$
$692$	−3.26660	−	1.61365i	−0.124178	−	0.0613416i
$693$	7.05954	−	8.20036i	0.268170	−	0.311506i
$694$	48.4476	+	11.3136i	1.83905	+	0.429458i
$695$	−8.09834	+	4.67558i	−0.307187	+	0.177355i
$696$	21.3385	−	8.00663i	0.808832	−	0.303491i
$697$	20.9765	−	36.3324i	0.794541	−	1.37619i
$698$	−5.85501	−	19.3248i	−0.221615	−	0.731455i
$699$			49.2147i			1.86147i
$700$	−4.22525	−	3.18547i	−0.159700	−	0.120400i
$701$		−	44.9260i		−	1.69683i	−0.529331	−	0.848416i	$-0.677557\pi$
$701$		−	44.9260i		−	1.69683i	0.529331	−	0.848416i	$-0.322443\pi$
$702$	2.51129	−	0.760868i	0.0947825	−	0.0287171i
$703$	13.6716	−	23.6800i	0.515635	−	0.893107i
$704$	8.03644	+	2.74612i	0.302885	+	0.103498i
$705$	−7.97433	+	4.60398i	−0.300331	+	0.173396i
$706$	−7.80341	+	33.4161i	−0.293685	+	1.25763i
$707$	−11.0980	−	31.7346i	−0.417385	−	1.19350i
$708$	17.9653	+	8.87455i	0.675178	+	0.333526i
$709$	−10.4928	+	6.05803i	−0.394066	+	0.227514i	−0.683920	−	0.729557i	$-0.739726\pi$
$709$	−10.4928	+	6.05803i	−0.394066	+	0.227514i	0.289855	+	0.957071i	$0.406393\pi$
$710$	−10.3150	−	9.66755i	−0.387114	−	0.362817i
$711$	31.5094	+	18.1920i	1.18169	+	0.682252i
$712$	32.8187	+	5.45245i	1.22993	+	0.204339i
$713$			14.6090i			0.547111i
$714$	−5.00854	−	46.6261i	−0.187440	−	1.74494i
$715$	−0.882644			−0.0330090
$716$	−0.332499	−	5.12584i	−0.0124261	−	0.191562i
$717$	−23.1374	+	40.0751i	−0.864082	+	1.49663i
$718$	8.72515	+	8.17751i	0.325620	+	0.305182i
$719$	15.1586	+	26.2555i	0.565321	+	0.979165i	0.997020	+	0.0771470i	$0.0245811\pi$
$719$	15.1586	+	26.2555i	0.565321	+	0.979165i	−0.431699	+	0.902018i	$0.642086\pi$
$720$	−9.36455	−	12.2382i	−0.348996	−	0.456091i
$721$	−1.75318	−	0.332044i	−0.0652917	−	0.0123660i
$722$	18.5445	+	4.33054i	0.690153	+	0.161166i
$723$	4.40550	+	7.63055i	0.163842	+	0.283783i
$724$	−19.6289	+	13.0965i	−0.729501	+	0.486727i
$725$	2.66580	+	1.53910i	0.0990052	+	0.0571607i
$726$	34.9800	−	10.5982i	1.29823	−	0.393336i
$727$	9.03069			0.334930			0.167465	−	0.985878i	$-0.446442\pi$
$727$	9.03069			0.334930			0.167465	+	0.985878i	$0.446442\pi$
$728$	6.13035	−	1.06359i	0.227206	−	0.0394192i
$729$	39.5452			1.46464
$730$	11.0353	−	3.34345i	0.408433	−	0.123747i
$731$	−20.7100	−	11.9569i	−0.765987	−	0.442243i
$732$	−37.8739	−	56.7651i	−1.39986	−	2.09810i
$733$	4.94704	+	8.56852i	0.182723	+	0.316486i	0.942807	−	0.333339i	$-0.108175\pi$
$733$	4.94704	+	8.56852i	0.182723	+	0.316486i	−0.760084	+	0.649825i	$0.774842\pi$
$734$	31.2370	+	7.29454i	1.15298	+	0.269246i
$735$	−18.1204	+	2.72457i	−0.668382	+	0.100497i
$736$	−7.87089	+	3.55030i	−0.290125	+	0.130866i
$737$	7.82234	+	13.5487i	0.288140	+	0.499073i
$738$	−34.8332	−	32.6469i	−1.28223	−	1.20175i
$739$	16.4166	−	28.4344i	0.603894	−	1.04598i	−0.388331	−	0.921520i	$-0.626948\pi$
$739$	16.4166	−	28.4344i	0.603894	−	1.04598i	0.992225	−	0.124455i	$-0.0397183\pi$
$740$	−23.1973	+	1.50474i	−0.852750	+	0.0553155i
$741$	−5.12020			−0.188095
$742$	16.8405	+	23.0678i	0.618236	+	0.846845i
$743$			51.2689i			1.88088i	0.339966	+	0.940438i	$0.389584\pi$
$743$			51.2689i			1.88088i	−0.339966	+	0.940438i	$0.610416\pi$
$744$	−69.9057	−	11.6140i	−2.56287	−	0.425791i
$745$	3.15569	+	1.82194i	0.115616	+	0.0667507i
$746$	−21.4235	−	20.0788i	−0.784369	−	0.735137i
$747$	−45.9006	+	26.5007i	−1.67941	+	0.969610i
$748$	−4.50210	+	9.11388i	−0.164613	+	0.333236i
$749$	−19.7411	−	3.73888i	−0.721323	−	0.136616i
$750$	0.841856	−	3.60504i	0.0307403	−	0.131637i
$751$	−38.3610	+	22.1477i	−1.39981	+	0.808182i	−0.994373	−	0.105940i	$-0.966215\pi$
$751$	−38.3610	+	22.1477i	−1.39981	+	0.808182i	−0.405440	+	0.914122i	$0.632882\pi$
$752$	−13.9522	+	1.81774i	−0.508786	+	0.0662860i
$753$	15.5110	−	26.8658i	0.565252	−	0.979045i
$754$	−3.46395	+	1.04950i	−0.126150	+	0.0382207i
$755$			16.3249i			0.594124i
$756$	−11.7203	−	1.44180i	−0.426264	−	0.0524378i
$757$		−	30.6126i		−	1.11263i	−0.830970	−	0.556317i	$-0.812214\pi$
$757$		−	30.6126i		−	1.11263i	0.830970	−	0.556317i	$-0.187786\pi$
$758$	5.11720	+	16.8896i	0.185865	+	0.613458i
$759$	2.12087	−	3.67346i	0.0769828	−	0.133338i
$760$	2.33755	+	6.22979i	0.0847917	+	0.225978i
$761$	−15.9088	+	9.18496i	−0.576694	+	0.332955i	−0.759819	−	0.650135i	$-0.774712\pi$
$761$	−15.9088	+	9.18496i	−0.576694	+	0.332955i	0.183124	+	0.983090i	$0.441379\pi$
$762$	32.6839	+	7.63242i	1.18401	+	0.276493i
$763$	8.21684	−	2.87354i	0.297470	−	0.104029i
$764$	−1.37717	+	2.78788i	−0.0498241	+	0.100862i
$765$	15.9737	−	9.22243i	0.577531	−	0.333438i
$766$	5.54541	−	5.91678i	0.200364	−	0.213782i
$767$	−2.75585	−	1.59109i	−0.0995079	−	0.0574509i
$768$	−10.7313	−	40.4856i	−0.387232	−	1.46090i
$769$		−	31.3711i		−	1.13127i	−0.824656	−	0.565635i	$-0.808631\pi$
$769$		−	31.3711i		−	1.13127i	0.824656	−	0.565635i	$-0.191369\pi$
$770$	3.63237	+	1.60728i	0.130902	+	0.0579224i
$771$	25.7655			0.927922
$772$	−0.379014	−	5.84291i	−0.0136410	−	0.210291i
$773$	−3.23165	+	5.59739i	−0.116235	+	0.201324i	−0.918273	−	0.395949i	$-0.870416\pi$
$773$	−3.23165	+	5.59739i	−0.116235	+	0.201324i	0.802038	+	0.597273i	$0.203749\pi$
$774$	−18.6093	+	19.8555i	−0.668896	+	0.713691i
$775$	−4.78548	−	8.28870i	−0.171900	−	0.297739i
$776$	10.8081	−	13.1426i	0.387988	−	0.471792i
$777$	−52.5197	+	61.0069i	−1.88413	+	2.18861i
$778$	−3.96073	+	16.9608i	−0.141999	+	0.608075i
$779$	10.3070	+	17.8522i	0.369286	+	0.639623i
$780$	2.41594	+	3.62099i	0.0865046	+	0.129652i
$781$	9.19038	+	5.30607i	0.328858	+	0.189866i
$782$	−2.99677	−	9.89102i	−0.107164	−	0.353702i
$783$	6.86939			0.245492
$784$	−27.1652	−	6.78627i	−0.970185	−	0.242367i
$785$	−15.2294			−0.543560
$786$	12.4719	+	41.1644i	0.444859	+	1.46828i
$787$	−7.74289	−	4.47036i	−0.276004	−	0.159351i	0.355609	−	0.934635i	$-0.384273\pi$
$787$	−7.74289	−	4.47036i	−0.276004	−	0.159351i	−0.631613	+	0.775284i	$0.717607\pi$
$788$	−9.24623	−	13.8582i	−0.329383	−	0.493676i
$789$	−10.6472	−	18.4416i	−0.379052	−	0.656538i
$790$	−3.03724	+	13.0062i	−0.108060	+	0.462741i
$791$	25.9873	−	30.1869i	0.924003	−	1.07332i
$792$	8.93445	+	7.34743i	0.317472	+	0.261080i
$793$	5.41858	+	9.38526i	0.192420	+	0.333280i
$794$	9.11624	−	9.72674i	0.323523	−	0.345189i
$795$	−9.99086	+	17.3047i	−0.354339	+	0.613734i
$796$	2.11614	+	32.6226i	0.0750046	+	1.15628i
$797$	−33.8447			−1.19884			−0.599420	−	0.800434i	$-0.704602\pi$
$797$	−33.8447			−1.19884			−0.599420	+	0.800434i	$0.704602\pi$
$798$	21.0713	+	9.32381i	0.745916	+	0.330059i
$799$		−	16.8411i		−	0.595796i
$800$	3.30273	−	4.59260i	0.116769	−	0.162373i
$801$	39.2430	+	22.6570i	1.38658	+	0.800545i
$802$	−8.44753	+	9.01326i	−0.298293	+	0.318269i
$803$	−7.49589	+	4.32776i	−0.264524	+	0.152723i
$804$	34.1716	−	69.1757i	1.20514	−	2.43964i
$805$	−3.81206	+	1.33313i	−0.134357	+	0.0469867i
$806$	10.9590	+	2.55917i	0.386015	+	0.0901431i
$807$	56.6906	−	32.7303i	1.99560	−	1.15216i
$808$	33.6497	−	12.6261i	1.18379	−	0.444183i
$809$	−5.94518	+	10.2974i	−0.209021	+	0.362036i	−0.951407	−	0.307938i	$-0.900361\pi$
$809$	−5.94518	+	10.2974i	−0.209021	+	0.362036i	0.742385	+	0.669973i	$0.233695\pi$
$810$	2.34384	+	7.73598i	0.0823541	+	0.271814i
$811$		−	8.26996i		−	0.290398i	−0.989403	−	0.145199i	$-0.953618\pi$
$811$		−	8.26996i		−	0.290398i	0.989403	−	0.145199i	$-0.0463822\pi$
$812$	16.1664	+	1.98875i	0.567330	+	0.0697914i
$813$			24.9853i			0.876274i
$814$	16.7001	−	5.05977i	0.585337	−	0.177345i
$815$	−2.76559	+	4.79015i	−0.0968745	+	0.167792i
$816$	49.7121	−	6.47662i	1.74027	−	0.226727i
$817$	10.1761	−	5.87515i	0.356015	−	0.205545i
$818$	−0.546293	+	2.33936i	−0.0191007	+	0.0817939i
$819$	8.32665	+	1.57703i	0.290957	+	0.0551060i
$820$	7.76174	−	15.7126i	0.271052	−	0.548707i
$821$	27.5875	−	15.9277i	0.962811	−	0.555879i	0.0657739	−	0.997835i	$-0.479048\pi$
$821$	27.5875	−	15.9277i	0.962811	−	0.555879i	0.897037	+	0.441955i	$0.145715\pi$
$822$	1.39362	+	1.30615i	0.0486081	+	0.0455572i
$823$	−26.7631	−	15.4517i	−0.932903	−	0.538612i	−0.0451746	−	0.998979i	$-0.514384\pi$
$823$	−26.7631	−	15.4517i	−0.932903	−	0.538612i	−0.887729	+	0.460367i	$0.847718\pi$
$824$	0.312631	−	1.88175i	0.0108910	−	0.0655539i
$825$			2.77894i			0.0967503i
$826$	8.44387	+	11.5662i	0.293800	+	0.402440i
$827$	42.4762			1.47704			0.738521	−	0.674230i	$-0.235524\pi$
$827$	42.4762			1.47704			0.738521	+	0.674230i	$0.235524\pi$
$828$	−11.7362	+	0.761293i	−0.407860	+	0.0264568i
$829$	−14.1168	+	24.4510i	−0.490297	+	0.849220i	−0.999938	−	0.0111677i	$-0.996445\pi$
$829$	−14.1168	+	24.4510i	−0.490297	+	0.849220i	0.509640	+	0.860388i	$0.329778\pi$
$830$	−14.1959	−	13.3049i	−0.492748	−	0.461821i
$831$	−1.72807	−	2.99311i	−0.0599462	−	0.103830i
$832$	1.28447	+	6.52632i	0.0445309	+	0.226259i
$833$	12.2553	−	31.1932i	0.424622	−	1.08078i
$834$	−33.7112	−	7.87233i	−1.16733	−	0.272596i
$835$	5.57367	+	9.65389i	0.192885	+	0.334087i
$836$	−2.77215	−	4.15487i	−0.0958769	−	0.143699i
$837$	−18.4973	−	10.6794i	−0.639360	−	0.369134i
$838$	−42.2751	+	12.8085i	−1.46037	+	0.442462i
$839$	13.1554			0.454174			0.227087	−	0.973874i	$-0.427080\pi$
$839$	13.1554			0.454174			0.227087	+	0.973874i	$0.427080\pi$
$840$	−3.34863	−	19.3010i	−0.115539	−	0.665946i
$841$	19.5247			0.673266
$842$	−7.03698	+	2.13206i	−0.242510	+	0.0734755i
$843$	62.6775	+	36.1869i	2.15873	+	1.24634i
$844$	−19.9159	+	13.2880i	−0.685532	+	0.457391i
$845$	6.15435	+	10.6597i	0.211716	+	0.366703i
$846$	−18.6624	−	4.35808i	−0.641626	−	0.149834i
$847$	25.6653	+	4.86091i	0.881872	+	0.167023i
$848$	−24.2484	+	18.5546i	−0.832693	+	0.637168i
$849$	0.977033	+	1.69227i	0.0335317	+	0.0580786i
$850$	4.94029	+	4.63021i	0.169450	+	0.158815i
$851$	−8.87062	+	15.3644i	−0.304081	+	0.526684i
$852$	−3.38779	−	52.2265i	−0.116064	−	1.78925i
$853$	37.8973			1.29758			0.648789	−	0.760968i	$-0.275276\pi$
$853$	37.8973			1.29758			0.648789	+	0.760968i	$0.275276\pi$
$854$	−5.20882	−	48.4906i	−0.178242	−	1.65931i
$855$			9.06305i			0.309950i
$856$	3.52028	−	21.1888i	0.120321	−	0.724219i
$857$	29.0059	+	16.7466i	0.990822	+	0.572051i	0.905520	−	0.424304i	$-0.139481\pi$
$857$	29.0059	+	16.7466i	0.990822	+	0.572051i	0.0853020	+	0.996355i	$0.472814\pi$
$858$	−2.38413	−	2.23449i	−0.0813929	−	0.0762843i
$859$	14.2225	−	8.21139i	0.485267	−	0.280169i	−0.237342	−	0.971426i	$-0.576276\pi$
$859$	14.2225	−	8.21139i	0.485267	−	0.280169i	0.722609	+	0.691257i	$0.242943\pi$
$860$	−8.95641	−	4.42431i	−0.305411	−	0.150868i
$861$	−20.0338	−	57.2862i	−0.682750	−	1.95231i
$862$	−2.58525	+	11.0707i	−0.0880541	+	0.377069i
$863$	0.525428	−	0.303356i	0.0178858	−	0.0103264i	−0.491030	−	0.871142i	$-0.663380\pi$
$863$	0.525428	−	0.303356i	0.0178858	−	0.0103264i	0.508916	+	0.860816i	$0.330046\pi$
$864$	1.25851	−	12.5611i	0.0428155	−	0.427337i
$865$	0.910856	−	1.57765i	0.0309700	−	0.0536417i
$866$	−2.11101	+	0.639593i	−0.0717352	+	0.0217343i
$867$			15.5038i			0.526537i
$868$	−40.4397	−	30.4881i	−1.37261	−	1.03483i
$869$		−	10.0258i		−	0.340103i
$870$	3.30429	+	10.9060i	0.112026	+	0.369748i
$871$	−6.12651	+	10.6114i	−0.207589	+	0.359554i
$872$	3.26918	+	8.71269i	0.110708	+	0.295049i
$873$	20.0717	−	11.5884i	0.679325	−	0.392209i
$874$	4.94517	+	1.15481i	0.167273	+	0.0390619i
$875$	1.72615	−	2.00510i	0.0583545	−	0.0677846i
$876$	38.2718	+	18.9056i	1.29309	+	0.638762i
$877$	−30.2747	+	17.4791i	−1.02230	+	0.590227i	−0.914770	−	0.403974i	$-0.867629\pi$
$877$	−30.2747	+	17.4791i	−1.02230	+	0.590227i	−0.107533	+	0.994201i	$0.534295\pi$
$878$	28.2313	−	30.1220i	0.952761	−	1.01657i
$879$	21.4022	+	12.3566i	0.721879	+	0.416777i
$880$	−1.63029	+	3.92091i	−0.0549569	+	0.132174i
$881$			5.42608i			0.182809i	0.995814	+	0.0914046i	$0.0291357\pi$
$881$			5.42608i			0.182809i	−0.995814	+	0.0914046i	$0.970864\pi$
$882$	−31.3952	−	21.6527i	−1.05713	−	0.729085i
$883$	2.94901			0.0992421			0.0496210	−	0.998768i	$-0.484199\pi$
$883$	2.94901			0.0992421			0.0496210	+	0.998768i	$0.484199\pi$
$884$	−7.94477	+	0.515355i	−0.267212	+	0.0173333i
$885$	−5.00943	+	8.67659i	−0.168390	+	0.291660i
$886$	0.334075	−	0.356448i	0.0112235	−	0.0119751i
$887$	−17.0925	−	29.6050i	−0.573909	−	0.994039i	−0.996159	−	0.0875599i	$-0.972093\pi$
$887$	−17.0925	−	29.6050i	−0.573909	−	0.994039i	0.422251	−	0.906479i	$-0.361240\pi$
$888$	−66.4682	−	54.6615i	−2.23053	−	1.83432i
$889$	18.1785	+	15.6496i	0.609689	+	0.524870i
$890$	−3.78270	+	16.1985i	−0.126796	+	0.542974i
$891$	−3.03386	−	5.25480i	−0.101638	−	0.176042i
$892$	−44.0877	+	29.4155i	−1.47616	+	0.984904i
$893$	7.16640	+	4.13752i	0.239814	+	0.138457i
$894$	3.91152	+	12.9102i	0.130821	+	0.431781i
$895$	2.56831			0.0858491
$896$	6.59834	−	29.1970i	0.220435	−	0.975402i
$897$	3.32216			0.110924
$898$	−13.0626	−	43.1138i	−0.435904	−	1.43873i
$899$	25.5142	+	14.7307i	0.850947	+	0.491295i
$900$	6.40936	−	4.27636i	0.213645	−	0.142545i
$901$	−18.2730	−	31.6498i	−0.608763	−	1.05441i
$902$	−2.99157	+	12.8106i	−0.0996083	+	0.426547i
$903$	−32.6540	+	11.4196i	−1.08666	+	0.380020i
$904$	32.8892	+	27.0471i	1.09388	+	0.899573i
$905$	−5.89920	−	10.2177i	−0.196096	−	0.339648i
$906$	−41.3279	+	44.0956i	−1.37303	+	1.46498i
$907$	−0.892664	+	1.54614i	−0.0296404	+	0.0513387i	−0.880465	−	0.474111i	$-0.842770\pi$
$907$	−0.892664	+	1.54614i	−0.0296404	+	0.0513387i	0.850825	+	0.525450i	$0.176103\pi$
$908$	19.5854	−	1.27045i	0.649963	−	0.0421613i
$909$	48.9533			1.62368
$910$	0.332266	+	3.09317i	0.0110145	+	0.102538i
$911$		−	21.9749i		−	0.728062i	−0.931387	−	0.364031i	$-0.881400\pi$
$911$		−	21.9749i		−	0.728062i	0.931387	−	0.364031i	$-0.118600\pi$
$912$	−9.45725	+	22.7451i	−0.313161	+	0.753167i
$913$	12.6482	+	7.30245i	0.418595	+	0.241676i
$914$	−17.3364	+	18.4974i	−0.573436	+	0.611839i
$915$	29.5488	−	17.0600i	0.976854	−	0.563987i
$916$	36.5620	+	18.0610i	1.20804	+	0.596752i
$917$	−5.72030	+	30.2029i	−0.188901	+	0.997388i
$918$	14.7143	+	3.43611i	0.485643	+	0.113409i
$919$	22.0415	−	12.7257i	0.727083	−	0.419782i	−0.0902709	−	0.995917i	$-0.528773\pi$
$919$	22.0415	−	12.7257i	0.727083	−	0.419782i	0.817354	+	0.576136i	$0.195440\pi$
$920$	−1.51668	−	4.04210i	−0.0500034	−	0.133264i
$921$	−13.5714	+	23.5064i	−0.447194	+	0.774562i
$922$	−3.01324	−	9.94539i	−0.0992359	−	0.327534i
$923$			8.31150i			0.273576i
$924$	5.74251	+	13.5371i	0.188915	+	0.445339i
$925$		−	11.6230i		−	0.382163i
$926$	−51.9838	+	15.7500i	−1.70829	+	0.517577i
$927$	1.29910	−	2.25011i	0.0426680	−	0.0739032i
$928$	−1.73593	+	17.3262i	−0.0569848	+	0.568759i
$929$	−14.0070	+	8.08693i	−0.459554	+	0.265324i	−0.711857	−	0.702325i	$-0.752145\pi$
$929$	−14.0070	+	8.08693i	−0.459554	+	0.265324i	0.252303	+	0.967648i	$0.418812\pi$
$930$	8.05738	−	34.5037i	0.264212	−	1.13142i
$931$	10.2627	+	12.8785i	0.336348	+	0.422077i
$932$	−33.7121	−	16.6532i	−1.10428	−	0.545494i
$933$	47.0520	−	27.1655i	1.54041	−	0.889358i
$934$	−1.94380	−	1.82179i	−0.0636030	−	0.0596109i
$935$	−4.40167	−	2.54131i	−0.143950	−	0.0831096i
$936$	−1.48483	+	8.93731i	−0.0485332	+	0.292125i
$937$		−	6.52678i		−	0.213221i	−0.994301	−	0.106610i	$-0.966000\pi$
$937$		−	6.52678i		−	0.213221i	0.994301	−	0.106610i	$-0.0339997\pi$
$938$	44.5359	−	32.5132i	1.45415	−	1.06159i
$939$	2.80117			0.0914128
$940$	−0.455389	−	7.02032i	−0.0148532	−	0.228978i
$941$	24.0737	−	41.6969i	0.784780	−	1.35928i	−0.144351	−	0.989527i	$-0.546109\pi$
$941$	24.0737	−	41.6969i	0.784780	−	1.35928i	0.929131	−	0.369752i	$-0.120557\pi$
$942$	−41.1365	−	38.5545i	−1.34030	−	1.25617i
$943$	−6.68753	−	11.5831i	−0.217776	−	0.377199i
$944$	−12.1582	+	9.30331i	−0.395715	+	0.302797i
$945$	1.09872	−	5.80120i	0.0357415	−	0.188713i
$946$	7.30226	+	1.70524i	0.237417	+	0.0554422i
$947$	5.11860	+	8.86568i	0.166332	+	0.288096i	0.937128	−	0.348987i	$-0.113474\pi$
$947$	5.11860	+	8.86568i	0.166332	+	0.288096i	−0.770795	+	0.637083i	$0.780141\pi$
$948$	−41.1304	+	27.4424i	−1.33585	+	0.891287i
$949$	−5.87083	−	3.38953i	−0.190575	−	0.110029i
$950$	−3.18402	+	0.964691i	−0.103303	+	0.0312987i
$951$	−28.9133			−0.937577
$952$	33.6338	+	12.3465i	1.09008	+	0.400151i
$953$	−11.8097			−0.382553			−0.191276	−	0.981536i	$-0.561263\pi$
$953$	−11.8097			−0.382553			−0.191276	+	0.981536i	$0.561263\pi$
$954$	−39.8011	+	12.0589i	−1.28861	+	0.390422i
$955$	−1.34645	−	0.777371i	−0.0435700	−	0.0251551i
$956$	−19.6223	−	29.4098i	−0.634632	−	0.951180i
$957$	−4.27706	−	7.40809i	−0.138258	−	0.239470i
$958$	−7.90519	−	1.84604i	−0.255405	−	0.0596428i
$959$	0.450617	+	1.28853i	0.0145512	+	0.0416088i
$960$	20.5477	−	4.04405i	0.663173	−	0.130521i
$961$	−30.3017	−	52.4840i	−0.977473	−	1.69303i
$962$	9.97172	+	9.34584i	0.321501	+	0.301322i
$963$	14.6281	−	25.3366i	0.471384	−	0.816460i
$964$	−6.71767	+	0.435757i	−0.216362	+	0.0140348i
$965$	2.92760			0.0942427
$966$	−13.6718	−	6.04961i	−0.439882	−	0.194643i
$967$		−	15.7493i		−	0.506464i	−0.967406	−	0.253232i	$-0.918506\pi$
$967$		−	15.7493i		−	0.506464i	0.967406	−	0.253232i	$-0.0814935\pi$
$968$	−4.57671	+	27.5476i	−0.147101	+	0.885412i
$969$	−25.5340	−	14.7421i	−0.820270	−	0.473583i
$970$	6.20771	+	5.81808i	0.199317	+	0.186807i
$971$	32.4559	−	18.7384i	1.04156	−	0.601344i	0.121284	−	0.992618i	$-0.461299\pi$
$971$	32.4559	−	18.7384i	1.04156	−	0.601344i	0.920274	+	0.391274i	$0.127965\pi$
$972$	−19.1835	+	38.8344i	−0.615312	+	1.24561i
$973$	−18.7500	−	16.1415i	−0.601096	−	0.517472i
$974$	3.14345	−	13.4610i	0.100723	−	0.431319i
$975$	−1.88489	+	1.08824i	−0.0603648	+	0.0348516i
$976$	51.6999	−	6.73561i	1.65487	−	0.215601i
$977$	−16.6883	+	28.9049i	−0.533905	+	0.924751i	0.465310	+	0.885148i	$0.345943\pi$
$977$	−16.6883	+	28.9049i	−0.533905	+	0.924751i	−0.999215	+	0.0396031i	$0.987391\pi$
$978$	−19.5969	+	5.93745i	−0.626639	+	0.189859i
$979$		−	12.4866i		−	0.399073i
$980$	4.26523	−	13.3345i	0.136248	−	0.425954i
$981$			12.6752i			0.404687i
$982$	2.79438	+	9.22302i	0.0891723	+	0.294318i
$983$	−28.8827	+	50.0263i	−0.921215	+	1.59559i	−0.123677	+	0.992323i	$0.539469\pi$
$983$	−28.8827	+	50.0263i	−0.921215	+	1.59559i	−0.797538	+	0.603269i	$0.793865\pi$
$984$	60.7432	−	22.7921i	1.93642	−	0.726585i
$985$	7.21380	−	4.16489i	0.229851	−	0.132704i
$986$	−20.2961	−	4.73960i	−0.646361	−	0.150940i
$987$	−18.4628	−	15.8943i	−0.587679	−	0.505922i
$988$	1.73257	−	3.50735i	0.0551204	−	0.111584i
$989$	−6.60257	+	3.81200i	−0.209950	+	0.121214i
$990$	−3.95518	+	4.22005i	−0.125704	+	0.134122i
$991$	−25.6882	−	14.8311i	−0.816014	−	0.471126i	0.0330261	−	0.999454i	$-0.489486\pi$
$991$	−25.6882	−	14.8311i	−0.816014	−	0.471126i	−0.849040	+	0.528329i	$0.822819\pi$
$992$	31.6103	−	43.9556i	1.00363	−	1.39559i
$993$			67.4634i			2.14089i
$994$	15.1351	−	34.2045i	0.480057	−	1.08490i
$995$	−16.3456			−0.518190
$996$	−4.66243	−	71.8765i	−0.147735	−	2.27749i
$997$	−10.3363	+	17.9031i	−0.327355	+	0.566996i	−0.981986	−	0.188953i	$-0.939491\pi$
$997$	−10.3363	+	17.9031i	−0.327355	+	0.566996i	0.654631	+	0.755949i	$0.272824\pi$
$998$	−20.0692	+	21.4133i	−0.635281	+	0.677825i
$999$	−12.9691	−	22.4632i	−0.410325	−	0.710704i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.f.171.5	yes	24
4.3	odd	2		1120.2.bz.e.591.2		24
7.5	odd	6		280.2.bj.e.131.4	✓	24
8.3	odd	2		280.2.bj.e.171.4	yes	24
8.5	even	2		1120.2.bz.f.591.2		24
28.19	even	6		1120.2.bz.f.271.2		24
56.5	odd	6		1120.2.bz.e.271.2		24
56.19	even	6	inner	280.2.bj.f.131.5	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.4	✓	24	7.5	odd	6
280.2.bj.e.171.4	yes	24	8.3	odd	2
280.2.bj.f.131.5	yes	24	56.19	even	6	inner
280.2.bj.f.171.5	yes	24	1.1	even	1	trivial
1120.2.bz.e.271.2		24	56.5	odd	6
1120.2.bz.e.591.2		24	4.3	odd	2
1120.2.bz.f.271.2		24	28.19	even	6
1120.2.bz.f.591.2		24	8.5	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-0.410069 - 1.35346i) q^{2} +(2.26702 + 1.30886i) q^{3} +(-1.66369 + 1.11002i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.841856 - 3.60504i) q^{6} +(1.72615 - 2.00510i) q^{7} +(2.18459 + 1.79654i) q^{8} +(1.92625 + 3.33637i) q^{9} +O(q^{10})\)	\(q+(-0.410069 - 1.35346i) q^{2} +(2.26702 + 1.30886i) q^{3} +(-1.66369 + 1.11002i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.841856 - 3.60504i) q^{6} +(1.72615 - 2.00510i) q^{7} +(2.18459 + 1.79654i) q^{8} +(1.92625 + 3.33637i) q^{9} +(-0.967093 + 1.03186i) q^{10} +(0.530792 - 0.919359i) q^{11} +(-5.22448 + 0.338897i) q^{12} +0.831440 q^{13} +(-3.42165 - 1.51404i) q^{14} -2.61773i q^{15} +(1.53571 - 3.69345i) q^{16} +(4.14632 + 2.39388i) q^{17} +(3.72573 - 3.97524i) q^{18} +(-2.03733 + 1.17625i) q^{19} +(1.79315 + 0.885785i) q^{20} +(6.53761 - 2.28630i) q^{21} +(-1.46197 - 0.341404i) q^{22} +(1.32189 - 0.763194i) q^{23} +(2.60108 + 6.93213i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-0.340948 - 1.12532i) q^{26} +2.23163i q^{27} +(-0.646076 + 5.25191i) q^{28} -3.07820i q^{29} +(-3.54298 + 1.07345i) q^{30} +(-4.78548 + 8.28870i) q^{31} +(-5.62867 - 0.563945i) q^{32} +(2.40663 - 1.38947i) q^{33} +(1.53973 - 6.59352i) q^{34} +(-2.59954 - 0.492342i) q^{35} +(-6.90812 - 3.41249i) q^{36} +(-10.0658 + 5.81151i) q^{37} +(2.42746 + 2.27509i) q^{38} +(1.88489 + 1.08824i) q^{39} +(0.463556 - 2.79018i) q^{40} -8.76255i q^{41} +(-5.77527 - 7.91083i) q^{42} -4.99479 q^{43} +(0.137435 + 2.11872i) q^{44} +(1.92625 - 3.33637i) q^{45} +(-1.57502 - 1.47616i) q^{46} +(-1.75877 - 3.04628i) q^{47} +(8.31571 - 6.36310i) q^{48} +(-1.04082 - 6.92219i) q^{49} +(1.37716 + 0.321598i) q^{50} +(6.26653 + 10.8539i) q^{51} +(-1.38326 + 0.922915i) q^{52} +(-6.61057 - 3.81661i) q^{53} +(3.02041 - 0.915121i) q^{54} -1.06158 q^{55} +(7.37317 - 1.27921i) q^{56} -6.15823 q^{57} +(-4.16620 + 1.26227i) q^{58} +(-3.31455 - 1.91365i) q^{59} +(2.90573 + 4.35508i) q^{60} +(6.51711 + 11.2880i) q^{61} +(13.1808 + 3.07800i) q^{62} +(10.0147 + 1.89675i) q^{63} +(1.54487 + 7.84942i) q^{64} +(-0.415720 - 0.720048i) q^{65} +(-2.86747 - 2.68749i) q^{66} +(-7.36855 + 12.7627i) q^{67} +(-9.55543 + 0.619835i) q^{68} +3.99567 q^{69} +(0.399627 + 3.72026i) q^{70} +9.99651i q^{71} +(-1.78585 + 10.7492i) q^{72} +(-7.06104 - 4.07669i) q^{73} +(11.9933 + 11.2405i) q^{74} +(-2.26702 + 1.30886i) q^{75} +(2.08382 - 4.21840i) q^{76} +(-0.927176 - 2.65124i) q^{77} +(0.699953 - 2.99737i) q^{78} +(8.17894 - 4.72211i) q^{79} +(-3.96648 + 0.516763i) q^{80} +(2.85786 - 4.94996i) q^{81} +(-11.8597 + 3.59325i) q^{82} +13.7576i q^{83} +(-8.33871 + 11.0606i) q^{84} -4.78776i q^{85} +(2.04821 + 6.76023i) q^{86} +(4.02894 - 6.97833i) q^{87} +(2.81123 - 1.05483i) q^{88} +(10.1864 - 5.88110i) q^{89} +(-5.30552 - 1.23896i) q^{90} +(1.43519 - 1.66712i) q^{91} +(-1.35205 + 2.73704i) q^{92} +(-21.6976 + 12.5271i) q^{93} +(-3.40179 + 3.62960i) q^{94} +(2.03733 + 1.17625i) q^{95} +(-12.0222 - 8.64565i) q^{96} -6.01605i q^{97} +(-8.94207 + 4.24727i) q^{98} +4.08976 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q + 3 * q^2 + 12 * q^3 + q^4 - 12 * q^5 - 2 * q^6 + 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

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