LMFDB - Embedded newform 280.2.ba.b.19.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("280.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			19.3
Character	$\chi$	$=$	280.19
Dual form			280.2.ba.b.59.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38731 - 0.274535i) q^{2} +(1.60233 + 2.77531i) q^{3} +(1.84926 + 0.761731i) q^{4} +(-2.12896 - 0.683763i) q^{5} +(-1.46101 - 4.29012i) q^{6} +(-2.23600 + 1.41432i) q^{7} +(-2.35638 - 1.56444i) q^{8} +(-3.63491 + 6.29586i) q^{9} +O(q^{10})$	\(q+(-1.38731 - 0.274535i) q^{2} +(1.60233 + 2.77531i) q^{3} +(1.84926 + 0.761731i) q^{4} +(-2.12896 - 0.683763i) q^{5} +(-1.46101 - 4.29012i) q^{6} +(-2.23600 + 1.41432i) q^{7} +(-2.35638 - 1.56444i) q^{8} +(-3.63491 + 6.29586i) q^{9} +(2.76581 + 1.53307i) q^{10} +(-1.23701 - 2.14257i) q^{11} +(0.849080 + 6.35282i) q^{12} +2.90697i q^{13} +(3.49031 - 1.34824i) q^{14} +(-1.51364 - 7.00414i) q^{15} +(2.83953 + 2.81728i) q^{16} +(1.21515 + 2.10471i) q^{17} +(6.77119 - 7.73639i) q^{18} +(-3.38329 - 1.95334i) q^{19} +(-3.41616 - 2.88615i) q^{20} +(-7.50799 - 3.93940i) q^{21} +(1.12791 + 3.31201i) q^{22} +(2.86568 - 4.96350i) q^{23} +(0.566137 - 9.04644i) q^{24} +(4.06494 + 2.91141i) q^{25} +(0.798065 - 4.03287i) q^{26} -13.6833 q^{27} +(-5.21228 + 0.912214i) q^{28} +4.71148i q^{29} +(0.176998 + 10.1325i) q^{30} +(3.92617 + 6.80032i) q^{31} +(-3.16587 - 4.68799i) q^{32} +(3.96419 - 6.86619i) q^{33} +(-1.10798 - 3.25349i) q^{34} +(5.72741 - 1.48213i) q^{35} +(-11.5177 + 8.87385i) q^{36} +(-1.67865 + 2.90751i) q^{37} +(4.15741 + 3.63872i) q^{38} +(-8.06775 + 4.65792i) q^{39} +(3.94692 + 4.94184i) q^{40} +5.75850i q^{41} +(9.33441 + 7.52638i) q^{42} +0.763818i q^{43} +(-0.655496 - 4.90443i) q^{44} +(12.0435 - 10.9182i) q^{45} +(-5.33824 + 6.09918i) q^{46} +(2.86896 + 1.65640i) q^{47} +(-3.26897 + 12.3948i) q^{48} +(2.99940 - 6.32484i) q^{49} +(-4.84005 - 5.15499i) q^{50} +(-3.89415 + 6.74487i) q^{51} +(-2.21433 + 5.37574i) q^{52} +(0.474139 + 0.821232i) q^{53} +(18.9830 + 3.75656i) q^{54} +(1.16854 + 5.40726i) q^{55} +(7.48149 + 0.165431i) q^{56} -12.5196i q^{57} +(1.29347 - 6.53629i) q^{58} +(-6.41474 + 3.70355i) q^{59} +(2.53617 - 14.1055i) q^{60} +(0.145254 - 0.251587i) q^{61} +(-3.57989 - 10.5120i) q^{62} +(-0.776680 - 19.2185i) q^{63} +(3.10502 + 7.37284i) q^{64} +(1.98768 - 6.18882i) q^{65} +(-7.38458 + 8.43722i) q^{66} +(4.12005 - 2.37871i) q^{67} +(0.643915 + 4.81778i) q^{68} +18.3670 q^{69} +(-8.35260 + 0.483803i) q^{70} -7.87114i q^{71} +(18.4147 - 9.14879i) q^{72} +(0.915891 + 1.58637i) q^{73} +(3.12702 - 3.57277i) q^{74} +(-1.56671 + 15.9465i) q^{75} +(-4.76866 - 6.18939i) q^{76} +(5.79623 + 3.04125i) q^{77} +(12.4712 - 4.24710i) q^{78} +(1.69463 + 0.978393i) q^{79} +(-4.11890 - 7.93944i) q^{80} +(-11.0205 - 19.0880i) q^{81} +(1.58091 - 7.98883i) q^{82} +6.61627 q^{83} +(-10.8835 - 13.0041i) q^{84} +(-1.14789 - 5.31172i) q^{85} +(0.209695 - 1.05965i) q^{86} +(-13.0758 + 7.54934i) q^{87} +(-0.437062 + 6.98393i) q^{88} +(3.72584 + 2.15111i) q^{89} +(-19.7054 + 11.8406i) q^{90} +(-4.11138 - 6.49998i) q^{91} +(9.08023 - 6.99593i) q^{92} +(-12.5820 + 21.7927i) q^{93} +(-3.52540 - 3.08557i) q^{94} +(5.86726 + 6.47195i) q^{95} +(7.93789 - 16.2980i) q^{96} +15.9453 q^{97} +(-5.89749 + 7.95107i) q^{98} +17.9857 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) $ 80 * q + 6 * q^4 - 52 * q^9	$ 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) $ 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−1.38731	−	0.274535i	−0.980977	−	0.194126i
$2$	−1.38731	−	0.274535i	−0.980977	−	0.194126i
$3$	1.60233	+	2.77531i	0.925105	+	1.60233i	0.791392	+	0.611308i	$0.209356\pi$
$3$	1.60233	+	2.77531i	0.925105	+	1.60233i	0.133712	+	0.991020i	$0.457310\pi$
$4$	1.84926	+	0.761731i	0.924630	+	0.380866i
$5$	−2.12896	−	0.683763i	−0.952100	−	0.305788i
$5$	−2.12896	−	0.683763i	−0.952100	−	0.305788i
$6$	−1.46101	−	4.29012i	−0.596453	−	1.75143i
$7$	−2.23600	+	1.41432i	−0.845129	+	0.534562i
$7$	−2.23600	+	1.41432i	−0.845129	+	0.534562i
$8$	−2.35638	−	1.56444i	−0.833105	−	0.553115i
$9$	−3.63491	+	6.29586i	−1.21164	+	2.09862i
$10$	2.76581	+	1.53307i	0.874626	+	0.484798i
$11$	−1.23701	−	2.14257i	−0.372973	−	0.646008i	0.617049	−	0.786925i	$-0.288328\pi$
$11$	−1.23701	−	2.14257i	−0.372973	−	0.646008i	−0.990021	+	0.140917i	$0.954995\pi$
$12$	0.849080	+	6.35282i	0.245108	+	1.83390i
$13$			2.90697i			0.806248i	0.915145	+	0.403124i	$0.132076\pi$
$13$			2.90697i			0.806248i	−0.915145	+	0.403124i	$0.867924\pi$
$14$	3.49031	−	1.34824i	0.932824	−	0.360332i
$15$	−1.51364	−	7.00414i	−0.390819	−	1.80846i
$16$	2.83953	+	2.81728i	0.709883	+	0.704320i
$17$	1.21515	+	2.10471i	0.294718	+	0.510467i	0.974919	−	0.222559i	$-0.0714409\pi$
$17$	1.21515	+	2.10471i	0.294718	+	0.510467i	−0.680201	+	0.733026i	$0.738108\pi$
$18$	6.77119	−	7.73639i	1.59598	−	1.82349i
$19$	−3.38329	−	1.95334i	−0.776179	−	0.448127i	0.0588952	−	0.998264i	$-0.481242\pi$
$19$	−3.38329	−	1.95334i	−0.776179	−	0.448127i	−0.835075	+	0.550137i	$0.814576\pi$
$20$	−3.41616	−	2.88615i	−0.763876	−	0.645363i
$21$	−7.50799	−	3.93940i	−1.63838	−	0.859648i
$22$	1.12791	+	3.31201i	0.240471	+	0.706122i
$23$	2.86568	−	4.96350i	0.597535	−	1.03496i	−0.395649	−	0.918402i	$-0.629480\pi$
$23$	2.86568	−	4.96350i	0.597535	−	1.03496i	0.993184	−	0.116559i	$-0.0371864\pi$
$24$	0.566137	−	9.04644i	0.115562	−	1.84660i
$25$	4.06494	+	2.91141i	0.812987	+	0.582281i
$26$	0.798065	−	4.03287i	0.156513	−	0.790910i
$27$	−13.6833			−2.63336
$28$	−5.21228	+	0.912214i	−0.985028	+	0.172392i
$29$			4.71148i			0.874900i	0.899243	+	0.437450i	$0.144118\pi$
$29$			4.71148i			0.874900i	−0.899243	+	0.437450i	$0.855882\pi$
$30$	0.176998	+	10.1325i	0.0323152	+	1.84993i
$31$	3.92617	+	6.80032i	0.705161	+	1.22137i	0.966634	+	0.256163i	$0.0824584\pi$
$31$	3.92617	+	6.80032i	0.705161	+	1.22137i	−0.261473	+	0.965211i	$0.584208\pi$
$32$	−3.16587	−	4.68799i	−0.559652	−	0.828728i
$33$	3.96419	−	6.86619i	0.690078	−	1.19525i
$34$	−1.10798	−	3.25349i	−0.190017	−	0.557968i
$35$	5.72741	−	1.48213i	0.968110	−	0.250526i
$36$	−11.5177	+	8.87385i	−1.91961	+	1.47898i
$37$	−1.67865	+	2.90751i	−0.275969	+	0.477991i	−0.970379	−	0.241588i	$-0.922332\pi$
$37$	−1.67865	+	2.90751i	−0.275969	+	0.477991i	0.694411	+	0.719579i	$0.255665\pi$
$38$	4.15741	+	3.63872i	0.674421	+	0.590279i
$39$	−8.06775	+	4.65792i	−1.29187	+	0.745864i
$40$	3.94692	+	4.94184i	0.624063	+	0.781374i
$41$			5.75850i			0.899327i	0.893198	+	0.449664i	$0.148456\pi$
$41$			5.75850i			0.899327i	−0.893198	+	0.449664i	$0.851544\pi$
$42$	9.33441	+	7.52638i	1.44033	+	1.16135i
$43$			0.763818i			0.116481i	0.998303	+	0.0582406i	$0.0185491\pi$
$43$			0.763818i			0.116481i	−0.998303	+	0.0582406i	$0.981451\pi$
$44$	−0.655496	−	4.90443i	−0.0988198	−	0.739371i
$45$	12.0435	−	10.9182i	1.79533	−	1.62759i
$46$	−5.33824	+	6.09918i	−0.787080	+	0.899275i
$47$	2.86896	+	1.65640i	0.418481	+	0.241610i	0.694427	−	0.719563i	$-0.255658\pi$
$47$	2.86896	+	1.65640i	0.418481	+	0.241610i	−0.275946	+	0.961173i	$0.588991\pi$
$48$	−3.26897	+	12.3948i	−0.471836	+	1.78904i
$49$	2.99940	−	6.32484i	0.428486	−	0.903548i
$50$	−4.84005	−	5.15499i	−0.684486	−	0.729026i
$51$	−3.89415	+	6.74487i	−0.545290	+	0.944471i
$52$	−2.21433	+	5.37574i	−0.307072	+	0.745481i
$53$	0.474139	+	0.821232i	0.0651280	+	0.112805i	0.896751	−	0.442536i	$-0.145921\pi$
$53$	0.474139	+	0.821232i	0.0651280	+	0.112805i	−0.831623	+	0.555341i	$0.812588\pi$
$54$	18.9830	+	3.75656i	2.58326	+	0.511203i
$55$	1.16854	+	5.40726i	0.157566	+	0.729114i
$56$	7.48149	+	0.165431i	0.999756	+	0.0221066i
$57$		−	12.5196i		−	1.65826i
$58$	1.29347	−	6.53629i	0.169841	−	0.858257i
$59$	−6.41474	+	3.70355i	−0.835128	+	0.482161i	−0.855605	−	0.517629i	$-0.826815\pi$
$59$	−6.41474	+	3.70355i	−0.835128	+	0.482161i	0.0204773	+	0.999790i	$0.493481\pi$
$60$	2.53617	−	14.1055i	0.327418	−	1.82101i
$61$	0.145254	−	0.251587i	0.0185978	−	0.0322124i	−0.856577	−	0.516020i	$-0.827413\pi$
$61$	0.145254	−	0.251587i	0.0185978	−	0.0322124i	0.875175	+	0.483807i	$0.160746\pi$
$62$	−3.57989	−	10.5120i	−0.454646	−	1.33503i
$63$	−0.776680	−	19.2185i	−0.0978524	−	2.42130i
$64$	3.10502	+	7.37284i	0.388128	+	0.921605i
$65$	1.98768	−	6.18882i	0.246541	−	0.767628i
$66$	−7.38458	+	8.43722i	−0.908979	+	1.03855i
$67$	4.12005	−	2.37871i	0.503344	−	0.290606i	−0.226749	−	0.973953i	$-0.572810\pi$
$67$	4.12005	−	2.37871i	0.503344	−	0.290606i	0.730094	+	0.683347i	$0.239476\pi$
$68$	0.643915	+	4.81778i	0.0780861	+	0.584241i
$69$	18.3670			2.21113
$70$	−8.35260	+	0.483803i	−0.998327	+	0.0578255i
$71$		−	7.87114i		−	0.934132i	−0.884222	−	0.467066i	$-0.845311\pi$
$71$		−	7.87114i		−	0.934132i	0.884222	−	0.467066i	$-0.154689\pi$
$72$	18.4147	−	9.14879i	2.17020	−	1.07819i
$73$	0.915891	+	1.58637i	0.107197	+	0.185671i	0.914634	−	0.404284i	$-0.132479\pi$
$73$	0.915891	+	1.58637i	0.107197	+	0.185671i	−0.807437	+	0.589954i	$0.799146\pi$
$74$	3.12702	−	3.57277i	0.363509	−	0.415326i
$75$	−1.56671	+	15.9465i	−0.180908	+	1.84134i
$76$	−4.76866	−	6.18939i	−0.547003	−	0.709972i
$77$	5.79623	+	3.04125i	0.660541	+	0.346583i
$78$	12.4712	−	4.24710i	1.41209	−	0.480889i
$79$	1.69463	+	0.978393i	0.190660	+	0.110078i	0.592292	−	0.805724i	$-0.298223\pi$
$79$	1.69463	+	0.978393i	0.190660	+	0.110078i	−0.401631	+	0.915801i	$0.631557\pi$
$80$	−4.11890	−	7.93944i	−0.460507	−	0.887656i
$81$	−11.0205	−	19.0880i	−1.22449	−	2.12089i
$82$	1.58091	−	7.98883i	0.174583	−	0.882219i
$83$	6.61627			0.726230			0.363115	−	0.931744i	$-0.381713\pi$
$83$	6.61627			0.726230			0.363115	+	0.931744i	$0.381713\pi$
$84$	−10.8835	−	13.0041i	−1.18748	−	1.41886i
$85$	−1.14789	−	5.31172i	−0.124506	−	0.576137i
$86$	0.209695	−	1.05965i	0.0226120	−	0.114265i
$87$	−13.0758	+	7.54934i	−1.40188	+	0.809374i
$88$	−0.437062	+	6.98393i	−0.0465910	+	0.744489i
$89$	3.72584	+	2.15111i	0.394938	+	0.228018i	0.684298	−	0.729203i	$-0.260109\pi$
$89$	3.72584	+	2.15111i	0.394938	+	0.228018i	−0.289359	+	0.957221i	$0.593442\pi$
$90$	−19.7054	+	11.8406i	−2.07714	+	1.24811i
$91$	−4.11138	−	6.49998i	−0.430990	−	0.681383i
$92$	9.08023	−	6.99593i	0.946680	−	0.729376i
$93$	−12.5820	+	21.7927i	−1.30469	+	2.25980i
$94$	−3.52540	−	3.08557i	−0.363617	−	0.318252i
$95$	5.86726	+	6.47195i	0.601968	+	0.664008i
$96$	7.93789	−	16.2980i	0.810158	−	1.66341i
$97$	15.9453			1.61900			0.809498	−	0.587123i	$-0.199739\pi$
$97$	15.9453			1.61900			0.809498	+	0.587123i	$0.199739\pi$
$98$	−5.89749	+	7.95107i	−0.595737	+	0.803180i
$99$	17.9857			1.80763
$100$	5.29942	+	8.48034i	0.529942	+	0.848034i
$101$	6.08259	+	10.5354i	0.605240	+	1.04831i	0.992013	+	0.126132i	$0.0402564\pi$
$101$	6.08259	+	10.5354i	0.605240	+	1.04831i	−0.386773	+	0.922175i	$0.626410\pi$
$102$	7.25410	−	8.28815i	0.718263	−	0.820649i
$103$	10.9386	+	6.31541i	1.07781	+	0.622276i	0.930306	−	0.366785i	$-0.119542\pi$
$103$	10.9386	+	6.31541i	1.07781	+	0.622276i	0.147507	+	0.989061i	$0.452875\pi$
$104$	4.54779	−	6.84991i	0.445948	−	0.671689i
$105$	13.2906	+	13.5205i	1.29703	+	1.31947i
$106$	−0.432320	−	1.26947i	−0.0419907	−	0.123302i
$107$	−8.49616	−	4.90526i	−0.821355	−	0.474209i	0.0295287	−	0.999564i	$-0.490599\pi$
$107$	−8.49616	−	4.90526i	−0.821355	−	0.474209i	−0.850883	+	0.525355i	$0.823933\pi$
$108$	−25.3040	−	10.4230i	−2.43488	−	1.00296i
$109$	−2.87979	+	1.66265i	−0.275834	+	0.159253i	−0.631536	−	0.775347i	$-0.717575\pi$
$109$	−2.87979	+	1.66265i	−0.275834	+	0.159253i	0.355702	+	0.934599i	$0.384242\pi$
$110$	−0.136644	−	7.82235i	−0.0130285	−	0.745832i
$111$	−10.7590			−1.02120
$112$	−10.3337	−	2.28344i	−0.976445	−	0.215764i
$113$			6.24090i			0.587095i	0.955945	+	0.293547i	$0.0948358\pi$
$113$			6.24090i			0.587095i	−0.955945	+	0.293547i	$0.905164\pi$
$114$	−3.43707	+	17.3685i	−0.321911	+	1.62671i
$115$	−9.49476	+	8.60764i	−0.885391	+	0.802667i
$116$	−3.58888	+	8.71276i	−0.333219	+	0.808959i
$117$	−18.3018	−	10.5666i	−1.69201	−	0.976880i
$118$	9.91599	−	3.37690i	0.912841	−	0.310869i
$119$	−5.69382	−	2.98751i	−0.521951	−	0.273865i
$120$	−7.39090	+	18.8724i	−0.674694	+	1.72281i
$121$	2.43961	−	4.22553i	0.221783	−	0.384139i
$122$	−0.270582	+	0.309152i	−0.0244973	+	0.0279893i
$123$	−15.9817	+	9.22701i	−1.44102	+	0.831972i
$124$	2.08049	+	15.5663i	0.186834	+	1.39789i
$125$	−6.66337	−	8.97772i	−0.595990	−	0.802992i
$126$	−4.19865	+	26.8752i	−0.374046	+	2.39423i
$127$	−17.2612			−1.53169			−0.765843	−	0.643027i	$-0.777678\pi$
$127$	−17.2612			−1.53169			−0.765843	+	0.643027i	$0.777678\pi$
$128$	−2.28353	−	11.0809i	−0.201837	−	0.979419i
$129$	−2.11984	+	1.22389i	−0.186641	+	0.107757i
$130$	−4.45657	+	8.04012i	−0.390867	+	0.705165i
$131$	1.77736	+	1.02616i	0.155289	+	0.0896562i	0.575631	−	0.817710i	$-0.304757\pi$
$131$	1.77736	+	1.02616i	0.155289	+	0.0896562i	−0.420342	+	0.907366i	$0.638090\pi$
$132$	12.5610	−	9.67772i	1.09330	−	0.842337i
$133$	10.3277	−	0.417375i	0.895524	−	0.0361910i
$134$	−6.36883	+	2.16891i	−0.550183	+	0.187366i
$135$	29.1313	+	9.35616i	2.50722	+	0.805250i
$136$	0.429340	−	6.86053i	0.0368156	−	0.588285i
$137$	−7.40950	+	4.27788i	−0.633036	+	0.365484i	−0.781927	−	0.623370i	$-0.785763\pi$
$137$	−7.40950	+	4.27788i	−0.633036	+	0.365484i	0.148891	+	0.988854i	$0.452430\pi$
$138$	−25.4808	−	5.04239i	−2.16907	−	0.429237i
$139$		−	13.3454i		−	1.13194i	−0.824426	−	0.565970i	$-0.808502\pi$
$139$		−	13.3454i		−	1.13194i	0.824426	−	0.565970i	$-0.191498\pi$
$140$	11.7205	+	1.62190i	0.990561	+	0.137075i
$141$			10.6164i			0.894059i
$142$	−2.16090	+	10.9197i	−0.181339	+	0.916362i
$143$	6.22837	−	3.59595i	0.520842	−	0.300708i
$144$	−28.0586	+	7.63671i	−2.33822	+	0.636392i
$145$	3.22154	−	10.0306i	0.267534	−	0.832992i
$146$	−0.835111	−	2.45223i	−0.0691143	−	0.202948i
$147$	22.3594	−	1.81019i	1.84418	−	0.149302i
$148$	−5.31900	+	4.09806i	−0.437219	+	0.336859i
$149$	−10.0494	−	5.80204i	−0.823281	−	0.475321i	0.0282658	−	0.999600i	$-0.491002\pi$
$149$	−10.0494	−	5.80204i	−0.823281	−	0.475321i	−0.851547	+	0.524279i	$0.824335\pi$
$150$	6.55139	−	21.6926i	0.534918	−	1.77120i
$151$	13.4070	−	7.74053i	1.09104	−	0.629915i	0.157190	−	0.987568i	$-0.449756\pi$
$151$	13.4070	−	7.74053i	1.09104	−	0.629915i	0.933854	+	0.357653i	$0.116423\pi$
$152$	4.91640	+	9.89578i	0.398773	+	0.802653i
$153$	−17.6679			−1.42837
$154$	−7.20624	−	5.81043i	−0.580695	−	0.468217i
$155$	−3.70884	−	17.1622i	−0.297902	−	1.37850i
$156$	−18.4675	+	2.46825i	−1.47858	+	0.197618i
$157$	1.73719	−	1.00296i	0.138643	−	0.0800453i	−0.429074	−	0.903269i	$-0.641160\pi$
$157$	1.73719	−	1.00296i	0.138643	−	0.0800453i	0.567717	+	0.823224i	$0.307827\pi$
$158$	−2.08237	−	1.82257i	−0.165664	−	0.144996i
$159$	−1.51945	+	2.63177i	−0.120500	+	0.208713i
$160$	3.53453	+	12.1452i	0.279429	+	0.960166i
$161$	0.612315	+	15.1514i	0.0482572	+	1.19409i
$162$	10.0485	+	29.5065i	0.789482	+	2.31825i
$163$	14.2898	+	8.25020i	1.11926	+	0.646205i	0.941212	−	0.337816i	$-0.109688\pi$
$163$	14.2898	+	8.25020i	1.11926	+	0.646205i	0.178048	+	0.984022i	$0.443022\pi$
$164$	−4.38643	+	10.6490i	−0.342523	+	0.831545i
$165$	−13.1345	+	11.9073i	−1.02252	+	0.926979i
$166$	−9.17883	−	1.81640i	−0.712415	−	0.140980i
$167$		−	4.67196i		−	0.361527i	−0.983527	−	0.180763i	$-0.942143\pi$
$167$		−	4.67196i		−	0.361527i	0.983527	−	0.180763i	$-0.0578568\pi$
$168$	11.5287	+	21.0286i	0.889457	+	1.62239i
$169$	4.54954			0.349965
$170$	0.134229	+	7.68414i	0.0102949	+	0.589346i
$171$	24.5959	−	14.2005i	1.88090	−	1.08594i
$172$	−0.581824	+	1.41250i	−0.0443637	+	0.107702i
$173$	−6.44746	−	3.72244i	−0.490191	−	0.283012i	0.234463	−	0.972125i	$-0.424667\pi$
$173$	−6.44746	−	3.72244i	−0.490191	−	0.283012i	−0.724654	+	0.689113i	$0.758000\pi$
$174$	20.2128	−	6.88350i	1.53233	−	0.521837i
$175$	−13.2069	−	0.760790i	−0.998345	−	0.0575103i
$176$	2.52367	−	9.56888i	0.190229	−	0.721282i
$177$	−20.5570	−	11.8686i	−1.54516	−	0.892099i
$178$	−4.57834	−	4.00714i	−0.343161	−	0.300348i
$179$	−4.86291	−	8.42281i	−0.363471	−	0.629550i	0.625059	−	0.780578i	$-0.285075\pi$
$179$	−4.86291	−	8.42281i	−0.363471	−	0.629550i	−0.988530	+	0.151028i	$0.951742\pi$
$180$	30.5882	−	11.0167i	2.27991	−	0.821138i
$181$	5.72502			0.425537			0.212769	−	0.977103i	$-0.431752\pi$
$181$	5.72502			0.425537			0.212769	+	0.977103i	$0.431752\pi$
$182$	3.91929	+	10.1462i	0.290517	+	0.752087i
$183$	0.930977			0.0688198
$184$	−14.5177	+	7.21268i	−1.07026	+	0.531726i
$185$	5.56183	−	5.04217i	0.408914	−	0.370708i
$186$	23.4380	−	26.7790i	1.71856	−	1.96353i
$187$	3.00632	−	5.20709i	0.219844	−	0.380780i
$188$	4.04373	+	5.24848i	0.294919	+	0.382785i
$189$	30.5959	−	19.3526i	2.22553	−	1.40769i
$190$	−6.36293	−	10.5894i	−0.461616	−	0.768234i
$191$	2.66537	+	1.53885i	0.192860	+	0.111347i	0.593321	−	0.804966i	$-0.297817\pi$
$191$	2.66537	+	1.53885i	0.192860	+	0.111347i	−0.400461	+	0.916314i	$0.631150\pi$
$192$	−15.4867	+	20.4311i	−1.11766	+	1.47449i
$193$	−16.3501	+	9.43976i	−1.17691	+	0.679488i	−0.955297	−	0.295647i	$-0.904465\pi$
$193$	−16.3501	+	9.43976i	−1.17691	+	0.679488i	−0.221611	+	0.975135i	$0.571132\pi$
$194$	−22.1210	−	4.37753i	−1.58820	−	0.314289i
$195$	20.3608	−	4.40009i	1.45807	−	0.315097i
$196$	10.3645	−	9.41154i	0.740322	−	0.672253i
$197$	−4.81372			−0.342964			−0.171482	−	0.985187i	$-0.554855\pi$
$197$	−4.81372			−0.342964			−0.171482	+	0.985187i	$0.554855\pi$
$198$	−24.9518	−	4.93771i	−1.77324	−	0.350908i
$199$	−12.0922	−	20.9442i	−0.857190	−	1.48470i	−0.874598	−	0.484848i	$-0.838875\pi$
$199$	−12.0922	−	20.9442i	−0.857190	−	1.48470i	0.0174086	−	0.999848i	$-0.494458\pi$
$200$	−5.02379	−	13.2197i	−0.355235	−	0.934777i
$201$	13.2034	+	7.62296i	0.931293	+	0.537682i
$202$	−5.54612	−	16.2857i	−0.390223	−	1.14586i
$203$	−6.66354	−	10.5349i	−0.467689	−	0.739404i
$204$	−12.3391	+	9.50673i	−0.863908	+	0.665604i
$205$	3.93745	−	12.2596i	0.275004	−	0.856249i
$206$	−13.4414	−	11.7645i	−0.936510	−	0.819669i
$207$	20.8330	+	36.0838i	1.44799	+	2.50800i
$208$	−8.18974	+	8.25442i	−0.567856	+	0.572341i
$209$			9.66522i			0.668557i
$210$	−14.7263	−	22.4059i	−1.01621	−	1.54615i
$211$	−24.8628			−1.71163			−0.855814	−	0.517284i	$-0.826943\pi$
$211$	−24.8628			−1.71163			−0.855814	+	0.517284i	$0.826943\pi$
$212$	0.251248	+	1.87984i	0.0172558	+	0.129108i
$213$	21.8449	−	12.6121i	1.49679	−	0.864170i
$214$	10.4401	+	9.13761i	0.713674	+	0.624634i
$215$	0.522271	−	1.62614i	0.0356186	−	0.110902i
$216$	32.2431	+	21.4068i	2.19386	+	1.45655i
$217$	−18.3967	−	9.65267i	−1.24885	−	0.655266i
$218$	4.45161	−	1.51600i	0.301501	−	0.102677i
$219$	−2.93512	+	5.08377i	−0.198337	+	0.343529i
$220$	−1.95794	+	10.8895i	−0.132004	+	0.734173i
$221$	−6.11832	+	3.53241i	−0.411563	+	0.237616i
$222$	14.9261	+	2.95372i	1.00177	+	0.198241i
$223$			6.76281i			0.452871i	0.974026	+	0.226436i	$0.0727073\pi$
$223$			6.76281i			0.452871i	−0.974026	+	0.226436i	$0.927293\pi$
$224$	13.7092	+	6.00481i	0.915985	+	0.401213i
$225$	−33.1055	+	15.0095i	−2.20703	+	1.00064i
$226$	1.71335	−	8.65807i	0.113970	−	0.575926i
$227$	−4.30970	−	7.46462i	−0.286045	−	0.495444i	0.686817	−	0.726830i	$-0.259007\pi$
$227$	−4.30970	−	7.46462i	−0.286045	−	0.495444i	−0.972862	+	0.231386i	$0.925674\pi$
$228$	9.53656	−	23.1520i	0.631574	−	1.53328i
$229$	10.3387	−	17.9071i	0.683200	−	1.18334i	−0.290799	−	0.956784i	$-0.593921\pi$
$229$	10.3387	−	17.9071i	0.683200	−	1.18334i	0.973999	−	0.226552i	$-0.0727454\pi$
$230$	15.5353	−	9.33482i	1.02437	−	0.615520i
$231$	0.847038	+	20.9594i	0.0557310	+	1.37903i
$232$	7.37085	−	11.1020i	0.483920	−	0.728884i
$233$	19.1261	+	11.0424i	1.25299	+	0.723414i	0.971702	−	0.236210i	$-0.0759053\pi$
$233$	19.1261	+	11.0424i	1.25299	+	0.723414i	0.281287	+	0.959624i	$0.409239\pi$
$234$	22.4894	+	19.6836i	1.47018	+	1.28676i
$235$	−4.97532	−	5.48809i	−0.324554	−	0.358003i
$236$	−14.6836	+	1.96253i	−0.955823	+	0.127750i
$237$			6.27083i			0.407334i
$238$	7.07891	+	5.70776i	0.458858	+	0.369979i
$239$			10.7855i			0.697656i	0.937187	+	0.348828i	$0.113420\pi$
$239$			10.7855i			0.697656i	−0.937187	+	0.348828i	$0.886580\pi$
$240$	15.4346	−	24.1528i	0.996300	−	1.55906i
$241$	−15.4652	+	8.92882i	−0.996200	+	0.575156i	−0.907122	−	0.420868i	$-0.861725\pi$
$241$	−15.4652	+	8.92882i	−0.996200	+	0.575156i	−0.0890780	+	0.996025i	$0.528392\pi$
$242$	−4.54455	+	5.19236i	−0.292135	+	0.333778i
$243$	14.7918	−	25.6201i	0.948893	−	1.64353i
$244$	0.460254	−	0.354606i	0.0294647	−	0.0227013i
$245$	−10.7103	+	11.4144i	−0.684256	+	0.729242i
$246$	24.7047	−	8.41321i	1.57511	−	0.536406i
$247$	5.67830	−	9.83511i	0.361302	−	0.625793i
$248$	1.38720	−	22.1664i	0.0880872	−	1.40757i
$249$	10.6014	+	18.3622i	0.671839	+	1.16366i
$250$	6.77947	+	14.2842i	0.428771	+	0.903413i
$251$			11.0237i			0.695810i	0.937530	+	0.347905i	$0.113107\pi$
$251$			11.0237i			0.695810i	−0.937530	+	0.347905i	$0.886893\pi$
$252$	13.2030	−	36.1316i	0.831712	−	2.27608i
$253$	−14.1795			−0.891457
$254$	23.9467	+	4.73882i	1.50255	+	0.297340i
$255$	12.9024	−	11.6969i	0.807979	−	0.732487i
$256$	0.125875	+	15.9995i	0.00786716	+	0.999969i
$257$	−15.5353	+	26.9079i	−0.969065	+	1.67847i	−0.270793	+	0.962638i	$0.587286\pi$
$257$	−15.5353	+	26.9079i	−0.969065	+	1.67847i	−0.698272	+	0.715832i	$0.746048\pi$
$258$	3.27687	−	1.11594i	0.204009	−	0.0694756i
$259$	−0.358681	−	8.87534i	−0.0222873	−	0.551487i
$260$	8.38995	−	9.93066i	0.520322	−	0.615873i
$261$	−29.6628	−	17.1258i	−1.83608	−	1.06006i
$262$	−2.18404	−	1.91155i	−0.134930	−	0.118096i
$263$	−9.32868	−	16.1577i	−0.575231	−	0.996329i	−0.996017	−	0.0891689i	$-0.971579\pi$
$263$	−9.32868	−	16.1577i	−0.575231	−	0.996329i	0.420786	−	0.907160i	$-0.361754\pi$
$264$	−20.0829	+	9.97756i	−1.23602	+	0.614076i
$265$	−0.447894	−	2.07257i	−0.0275139	−	0.127317i
$266$	−14.4423	−	2.25628i	−0.885513	−	0.138342i
$267$			13.7872i			0.843761i
$268$	9.43099	−	1.26049i	0.576089	−	0.0769966i
$269$	−1.41984	−	2.45923i	−0.0865689	−	0.149942i	0.819490	−	0.573094i	$-0.194257\pi$
$269$	−1.41984	−	2.45923i	−0.0865689	−	0.149942i	−0.906059	+	0.423152i	$0.860924\pi$
$270$	−37.8455	−	20.9774i	−2.30320	−	1.27665i
$271$	9.37179	−	16.2324i	0.569296	−	0.986049i	−0.427340	−	0.904091i	$-0.640549\pi$
$271$	9.37179	−	16.2324i	0.569296	−	0.986049i	0.996636	−	0.0819580i	$-0.0261173\pi$
$272$	−2.47908	+	9.39981i	−0.150317	+	0.569947i
$273$	11.4517	−	21.8255i	0.693089	−	1.32094i
$274$	11.4537	−	3.90057i	0.691943	−	0.235642i
$275$	1.20951	−	12.3108i	0.0729362	−	0.742371i
$276$	33.9654	+	13.9907i	2.04448	+	0.842143i
$277$	11.9110	+	20.6304i	0.715661	+	1.23956i	0.962704	+	0.270557i	$0.0872077\pi$
$277$	11.9110	+	20.6304i	0.715661	+	1.23956i	−0.247043	+	0.969004i	$0.579459\pi$
$278$	−3.66377	+	18.5142i	−0.219739	+	1.11041i
$279$	−57.0851			−3.41760
$280$	−15.8147	−	5.46776i	−0.945107	−	0.326761i
$281$	10.3608			0.618073			0.309037	−	0.951050i	$-0.399993\pi$
$281$	10.3608			0.618073			0.309037	+	0.951050i	$0.399993\pi$
$282$	2.91456	−	14.7282i	0.173560	−	0.877051i
$283$	4.67454	+	8.09653i	0.277872	+	0.481289i	0.970856	−	0.239665i	$-0.0770375\pi$
$283$	4.67454	+	8.09653i	0.277872	+	0.481289i	−0.692983	+	0.720953i	$0.743704\pi$
$284$	5.99569	−	14.5558i	0.355779	−	0.863727i
$285$	−8.56043	+	26.6537i	−0.507076	+	1.57883i
$286$	−9.62789	+	3.27879i	−0.569309	+	0.193879i
$287$	−8.14436	−	12.8760i	−0.480747	−	0.760047i
$288$	41.0226	−	2.89140i	2.41728	−	0.170378i
$289$	5.54680	−	9.60734i	0.326282	−	0.565138i
$290$	−7.22301	+	13.0311i	−0.424150	+	0.765211i
$291$	25.5495	+	44.2531i	1.49774	+	2.59416i
$292$	0.485334	+	3.63127i	0.0284020	+	0.212504i
$293$		−	16.0747i		−	0.939094i	−0.882907	−	0.469547i	$-0.844417\pi$
$293$		−	16.0747i		−	0.939094i	0.882907	−	0.469547i	$-0.155583\pi$
$294$	−31.5165	−	3.62716i	−1.83808	−	0.211540i
$295$	16.1891	−	3.49855i	0.942564	−	0.203693i
$296$	8.50417	−	4.22503i	0.494295	−	0.245575i
$297$	16.9264	+	29.3174i	0.982171	+	1.70117i
$298$	12.3488	+	10.8081i	0.715347	+	0.626099i
$299$	14.4287	+	8.33043i	0.834435	+	0.481761i
$300$	−15.0442	+	28.2958i	−0.868577	+	1.63366i
$301$	−1.08028	−	1.70790i	−0.0622665	−	0.0984417i
$302$	−20.7247	+	7.05782i	−1.19257	+	0.406132i
$303$	−19.4926	+	33.7622i	−1.11982	+	1.93959i
$304$	−4.10384	−	15.0782i	−0.235371	−	0.864796i
$305$	−0.481265	+	0.436299i	−0.0275572	+	0.0249824i
$306$	24.5109	+	4.85047i	1.40119	+	0.277283i
$307$	−14.9824			−0.855091			−0.427545	−	0.903994i	$-0.640622\pi$
$307$	−14.9824			−0.855091			−0.427545	+	0.903994i	$0.640622\pi$
$308$	8.40212	+	10.0392i	0.478755	+	0.572038i
$309$			40.4774i			2.30268i
$310$	0.433696	+	24.8275i	0.0246323	+	1.41011i
$311$	15.4750	+	26.8036i	0.877509	+	1.51989i	0.854066	+	0.520165i	$0.174130\pi$
$311$	15.4750	+	26.8036i	0.877509	+	1.51989i	0.0234437	+	0.999725i	$0.492537\pi$
$312$	26.2977	+	1.64574i	1.48881	+	0.0931717i
$313$	1.57151	−	2.72194i	0.0888271	−	0.153853i	−0.818189	−	0.574950i	$-0.805021\pi$
$313$	1.57151	−	2.72194i	0.0888271	−	0.153853i	0.907016	+	0.421097i	$0.138355\pi$
$314$	−2.68537	+	0.914505i	−0.151544	+	0.0516085i
$315$	−11.4874	+	41.4464i	−0.647239	+	2.33524i
$316$	2.38853	+	3.10015i	0.134365	+	0.174397i
$317$	−1.89262	+	3.27812i	−0.106300	+	0.184118i	−0.914269	−	0.405108i	$-0.867234\pi$
$317$	−1.89262	+	3.27812i	−0.106300	+	0.184118i	0.807968	+	0.589226i	$0.200567\pi$
$318$	2.83047	−	3.23394i	0.158725	−	0.181350i
$319$	10.0947	−	5.82815i	0.565192	−	0.326314i
$320$	−1.56919	−	17.8196i	−0.0877206	−	0.996145i
$321$		−	31.4393i		−	1.75477i
$322$	3.31011	−	21.1878i	0.184465	−	1.18075i
$323$		−	9.49444i		−	0.528285i
$324$	−5.83978	−	43.6933i	−0.324432	−	2.42740i
$325$	−8.46336	+	11.8166i	−0.469463	+	0.655469i
$326$	−17.5594	−	15.3686i	−0.972523	−	0.851190i
$327$	−9.22873	−	5.32821i	−0.510350	−	0.294651i
$328$	9.00886	−	13.5692i	0.497431	−	0.749234i
$329$	−8.75767	+	0.353925i	−0.482826	+	0.0195125i
$330$	21.4905	−	12.9132i	1.18301	−	0.710848i
$331$	−3.83340	+	6.63965i	−0.210703	+	0.364948i	−0.951935	−	0.306301i	$-0.900909\pi$
$331$	−3.83340	+	6.63965i	−0.210703	+	0.364948i	0.741232	+	0.671249i	$0.234242\pi$
$332$	12.2352	+	5.03982i	0.671495	+	0.276596i
$333$	−12.2035	−	21.1371i	−0.668748	−	1.15831i
$334$	−1.28262	+	6.48145i	−0.0701816	+	0.354649i
$335$	−10.3979	+	2.24704i	−0.568098	+	0.122769i
$336$	−10.2208	−	32.3382i	−0.557589	−	1.76419i
$337$		−	24.8688i		−	1.35469i	−0.735667	−	0.677344i	$-0.763131\pi$
$337$		−	24.8688i		−	1.35469i	0.735667	−	0.677344i	$-0.236869\pi$
$338$	−6.31163	−	1.24901i	−0.343307	−	0.0679372i
$339$	−17.3205	+	9.99998i	−0.940719	+	0.543124i
$340$	1.92335	−	10.6971i	0.104308	−	0.580134i
$341$	9.71342	−	16.8241i	0.526011	−	0.911078i
$342$	−38.0207	+	12.9480i	−2.05592	+	0.700148i
$343$	2.23868	+	18.3845i	0.120877	+	0.992667i
$344$	1.19495	−	1.79984i	0.0644275	−	0.0970411i
$345$	−39.1026	−	12.5587i	−2.10522	−	0.676137i
$346$	7.92268	+	6.93423i	0.425926	+	0.372787i
$347$	19.3450	−	11.1689i	1.03850	−	0.599576i	0.119089	−	0.992884i	$-0.462003\pi$
$347$	19.3450	−	11.1689i	1.03850	−	0.599576i	0.919407	+	0.393308i	$0.128669\pi$
$348$	−29.9312	+	4.00042i	−1.60448	+	0.214445i
$349$	6.23220			0.333602			0.166801	−	0.985991i	$-0.446656\pi$
$349$	6.23220			0.333602			0.166801	+	0.985991i	$0.446656\pi$
$350$	18.1132	+	4.68120i	0.968189	+	0.250221i
$351$		−	39.7770i		−	2.12314i
$352$	−6.12812	+	12.5822i	−0.326630	+	0.670632i
$353$	5.05250	+	8.75119i	0.268918	+	0.465779i	0.968583	−	0.248692i	$-0.0800008\pi$
$353$	5.05250	+	8.75119i	0.268918	+	0.465779i	−0.699665	+	0.714471i	$0.746667\pi$
$354$	25.2606	+	22.1091i	1.34259	+	1.17508i
$355$	−5.38199	+	16.7573i	−0.285646	+	0.889387i
$356$	5.25148	+	6.81606i	0.278328	+	0.361250i
$357$	−0.832072	−	20.5891i	−0.0440379	−	1.08969i
$358$	4.43401	+	13.0201i	0.234345	+	0.688133i
$359$	−18.4425	−	10.6478i	−0.973359	−	0.561969i	−0.0731003	−	0.997325i	$-0.523289\pi$
$359$	−18.4425	−	10.6478i	−0.973359	−	0.561969i	−0.900259	+	0.435356i	$0.856623\pi$
$360$	−45.4598	+	6.88607i	−2.39594	+	0.362928i
$361$	−1.86891	−	3.23705i	−0.0983638	−	0.170371i
$362$	−7.94238	−	1.57172i	−0.417442	−	0.0826078i
$363$	15.6362			0.820689
$364$	−2.65178	−	15.1519i	−0.138991	−	0.794177i
$365$	−0.865194	−	4.00357i	−0.0452863	−	0.209556i
$366$	−1.29155	−	0.255586i	−0.0675106	−	0.0133597i
$367$	26.2490	−	15.1549i	1.37019	−	0.791077i	0.379234	−	0.925301i	$-0.376187\pi$
$367$	26.2490	−	15.1549i	1.37019	−	0.791077i	0.990951	+	0.134224i	$0.0428541\pi$
$368$	22.1207	−	6.02059i	1.15312	−	0.313845i
$369$	−36.2547	−	20.9317i	−1.88734	−	1.08966i
$370$	−9.10023	+	5.46814i	−0.473099	+	0.284275i
$371$	−2.22166	−	1.16569i	−0.115343	−	0.0605198i
$372$	−39.8676	+	30.7163i	−2.06704	+	1.59256i
$373$	11.6702	−	20.2134i	0.604260	−	1.04661i	−0.387908	−	0.921698i	$-0.626802\pi$
$373$	11.6702	−	20.2134i	0.604260	−	1.04661i	0.992168	−	0.124911i	$-0.0398644\pi$
$374$	−5.60022	+	6.39852i	−0.289581	+	0.330859i
$375$	14.2391	−	32.8782i	0.735303	−	1.69782i
$376$	−4.16901	−	8.39142i	−0.215000	−	0.432755i
$377$	−13.6961			−0.705386
$378$	−47.7590	+	18.4484i	−2.45646	+	0.948884i
$379$	9.55433			0.490773			0.245387	−	0.969425i	$-0.421085\pi$
$379$	9.55433			0.490773			0.245387	+	0.969425i	$0.421085\pi$
$380$	5.92020	+	16.4376i	0.303700	+	0.843231i
$381$	−27.6582	−	47.9053i	−1.41697	−	2.45427i
$382$	−3.27523	−	2.86661i	−0.167575	−	0.146668i
$383$	16.2249	+	9.36744i	0.829052	+	0.478654i	0.853528	−	0.521047i	$-0.174458\pi$
$383$	16.2249	+	9.36744i	0.829052	+	0.478654i	−0.0244757	+	0.999700i	$0.507792\pi$
$384$	27.0939	−	24.0927i	1.38263	−	1.22947i
$385$	−10.2604	−	10.4379i	−0.522920	−	0.531967i
$386$	25.2743	−	8.60718i	1.28643	−	0.438094i
$387$	−4.80889	−	2.77641i	−0.244450	−	0.141133i
$388$	29.4869	+	12.1460i	1.49697	+	0.616620i
$389$	18.5104	−	10.6870i	0.938515	−	0.541852i	0.0490204	−	0.998798i	$-0.484390\pi$
$389$	18.5104	−	10.6870i	0.938515	−	0.541852i	0.889494	+	0.456946i	$0.151057\pi$
$390$	−29.4548	+	0.514527i	−1.49150	+	0.0260541i
$391$	13.9290			0.704417
$392$	−16.9626	+	10.2113i	−0.856740	+	0.515749i
$393$			6.57699i			0.331765i
$394$	6.67813	+	1.32154i	0.336439	+	0.0665781i
$395$	−2.93880	−	3.24168i	−0.147867	−	0.163107i
$396$	33.2603	+	13.7003i	1.67139	+	0.688465i
$397$	0.251200	+	0.145030i	0.0126073	+	0.00727885i	0.506290	−	0.862363i	$-0.331016\pi$
$397$	0.251200	+	0.145030i	0.0126073	+	0.00727885i	−0.493683	+	0.869642i	$0.664350\pi$
$398$	11.0256	+	32.3759i	0.552666	+	1.62286i
$399$	17.7067	+	27.9938i	0.886443	+	1.40144i
$400$	3.34027	+	19.7191i	0.167013	+	0.985955i
$401$	13.4012	−	23.2115i	0.669223	−	1.15913i	−0.308899	−	0.951095i	$-0.599960\pi$
$401$	13.4012	−	23.2115i	0.669223	−	1.15913i	0.978122	−	0.208033i	$-0.0667063\pi$
$402$	−16.2244	−	14.2002i	−0.809198	−	0.708241i
$403$	−19.7683	+	11.4132i	−0.984730	+	0.568534i
$404$	3.22319	+	24.1159i	0.160360	+	1.19981i
$405$	10.4104	+	48.1729i	0.517299	+	2.39373i
$406$	6.35220	+	16.4445i	0.315255	+	0.816128i
$407$	8.30603			0.411715
$408$	19.7281	−	9.80127i	0.976685	−	0.485235i
$409$	11.0759	−	6.39466i	0.547667	−	0.316195i	−0.200514	−	0.979691i	$-0.564261\pi$
$409$	11.0759	−	6.39466i	0.547667	−	0.316195i	0.748180	+	0.663495i	$0.230928\pi$
$410$	−8.82817	+	15.9269i	−0.435992	+	0.786575i
$411$	−23.7449	−	13.7091i	−1.17125	−	0.676221i
$412$	15.4177	+	20.0111i	0.759575	+	0.985877i
$413$	9.10536	−	17.3536i	0.448045	−	0.853916i
$414$	−18.9955	−	55.7788i	−0.933580	−	2.74138i
$415$	−14.0858	−	4.52396i	−0.691444	−	0.222073i
$416$	13.6278	−	9.20308i	0.668160	−	0.451218i
$417$	37.0376	−	21.3837i	1.81374	−	1.04716i
$418$	2.65344	−	13.4087i	0.129784	−	0.655839i
$419$			11.3606i			0.555002i	0.960725	+	0.277501i	$0.0895062\pi$
$419$			11.3606i			0.555002i	−0.960725	+	0.277501i	$0.910494\pi$
$420$	14.2788	+	35.1268i	0.696733	+	1.71401i
$421$			36.1939i			1.76398i	0.471266	+	0.881991i	$0.343797\pi$
$421$			36.1939i			1.76398i	−0.471266	+	0.881991i	$0.656203\pi$
$422$	34.4925	+	6.82572i	1.67907	+	0.332271i
$423$	−20.8569	+	12.0417i	−1.01409	+	0.585488i
$424$	0.167523	−	2.67690i	0.00813565	−	0.130002i
$425$	−1.18814	+	12.0933i	−0.0576332	+	0.586612i
$426$	−33.7681	+	11.4998i	−1.63607	+	0.557166i
$427$	0.0310367	+	0.767984i	0.00150197	+	0.0371654i
$428$	−11.9751	−	15.5429i	−0.578839	−	0.751294i
$429$	19.9598	+	11.5238i	0.963667	+	0.556374i
$430$	−1.17098	+	2.11258i	−0.0564699	+	0.101878i
$431$	−26.0484	+	15.0391i	−1.25471	+	0.724406i	−0.972041	−	0.234812i	$-0.924552\pi$
$431$	−26.0484	+	15.0391i	−1.25471	+	0.724406i	−0.282667	+	0.959218i	$0.591219\pi$
$432$	−38.8542	−	38.5498i	−1.86938	−	1.85473i
$433$	−13.9510			−0.670442			−0.335221	−	0.942139i	$-0.608811\pi$
$433$	−13.9510			−0.670442			−0.335221	+	0.942139i	$0.608811\pi$
$434$	22.8720	+	18.4418i	1.09789	+	0.885235i
$435$	32.9999	−	7.13147i	1.58222	−	0.341928i
$436$	−6.59197	+	0.881042i	−0.315698	+	0.0421943i
$437$	−19.3908	+	11.1953i	−0.927588	+	0.535543i
$438$	5.46759	−	6.24698i	0.261252	−	0.298492i
$439$	−5.58413	+	9.67200i	−0.266516	+	0.461619i	−0.967960	−	0.251106i	$-0.919206\pi$
$439$	−5.58413	+	9.67200i	−0.266516	+	0.461619i	0.701444	+	0.712725i	$0.252539\pi$
$440$	5.70584	−	14.5696i	0.272015	−	0.694581i
$441$	28.9177	+	41.8740i	1.37703	+	1.99400i
$442$	9.45778	−	3.22086i	0.449861	−	0.153201i
$443$	−16.0785	−	9.28292i	−0.763912	−	0.441045i	0.0667865	−	0.997767i	$-0.478725\pi$
$443$	−16.0785	−	9.28292i	−0.763912	−	0.441045i	−0.830699	+	0.556722i	$0.812059\pi$
$444$	−19.8962	−	8.19547i	−0.944232	−	0.388940i
$445$	−6.46131	−	7.12722i	−0.306295	−	0.337863i
$446$	1.85663	−	9.38212i	0.0879139	−	0.444256i
$447$		−	37.1871i		−	1.75889i
$448$	−17.3704	−	12.0942i	−0.820674	−	0.571397i
$449$	−8.39895			−0.396371			−0.198186	−	0.980165i	$-0.563505\pi$
$449$	−8.39895			−0.396371			−0.198186	+	0.980165i	$0.563505\pi$
$450$	50.0482	−	11.7343i	2.35930	−	0.553159i
$451$	12.3380	−	7.12333i	0.580972	−	0.335424i
$452$	−4.75389	+	11.5411i	−0.223604	+	0.542846i
$453$	42.9648	+	24.8057i	2.01866	+	1.16547i
$454$	3.92959	+	11.5389i	0.184425	+	0.541548i
$455$	4.30852	+	16.6494i	0.201986	+	0.780536i
$456$	−19.5862	+	29.5009i	−0.917208	+	1.38150i
$457$	24.5026	+	14.1466i	1.14618	+	0.661749i	0.947954	−	0.318406i	$-0.103148\pi$
$457$	24.5026	+	14.1466i	1.14618	+	0.661749i	0.198229	+	0.980156i	$0.436481\pi$
$458$	−19.2591	+	22.0044i	−0.899919	+	1.02820i
$459$	−16.6274	−	28.7994i	−0.776099	−	1.34424i
$460$	−24.1150	+	8.68532i	−1.12437	+	0.404955i
$461$	31.5889			1.47124			0.735621	−	0.677393i	$-0.236890\pi$
$461$	31.5889			1.47124			0.735621	+	0.677393i	$0.236890\pi$
$462$	4.57900	−	29.3098i	0.213034	−	1.36361i
$463$	−20.6027			−0.957487			−0.478744	−	0.877955i	$-0.658908\pi$
$463$	−20.6027			−0.957487			−0.478744	+	0.877955i	$0.658908\pi$
$464$	−13.2736	+	13.3784i	−0.616210	+	0.621077i
$465$	41.6877	−	37.7927i	1.93322	−	1.75259i
$466$	−23.5022	−	20.5701i	−1.08872	−	0.952889i
$467$	−8.18604	+	14.1786i	−0.378805	+	0.656109i	−0.990889	−	0.134684i	$-0.956998\pi$
$467$	−8.18604	+	14.1786i	−0.378805	+	0.656109i	0.612084	+	0.790793i	$0.290331\pi$
$468$	−25.7960	−	33.4814i	−1.19242	−	1.54768i
$469$	−5.84818	+	11.1459i	−0.270044	+	0.514669i
$470$	5.39564	+	8.97958i	0.248882	+	0.414197i
$471$	5.56708	+	3.21416i	0.256518	+	0.148101i
$472$	20.9095	+	1.30854i	0.962440	+	0.0602306i
$473$	1.63653	−	0.944851i	0.0752478	−	0.0434443i
$474$	1.72156	−	8.69958i	0.0790740	−	0.399585i
$475$	−8.06588	−	17.7903i	−0.370088	−	0.816277i
$476$	−8.25367	−	9.86185i	−0.378306	−	0.452017i
$477$	−6.89381			−0.315646
$478$	2.96100	−	14.9628i	0.135433	−	0.684385i
$479$	18.7679	+	32.5069i	0.857526	+	1.48528i	0.874282	+	0.485419i	$0.161333\pi$
$479$	18.7679	+	32.5069i	0.857526	+	1.48528i	−0.0167554	+	0.999860i	$0.505334\pi$
$480$	−28.0434	+	29.2701i	−1.28000	+	1.33599i
$481$	−8.45203	−	4.87978i	−0.385379	−	0.222499i
$482$	23.9063	−	8.14132i	1.08890	−	0.370827i
$483$	−41.0687	+	25.9768i	−1.86869	+	1.18199i
$484$	7.73019	−	5.95578i	0.351372	−	0.270717i
$485$	−33.9468	−	10.9028i	−1.54145	−	0.495070i
$486$	−27.5544	+	31.4822i	−1.24989	+	1.42806i
$487$	−12.1439	−	21.0339i	−0.550294	−	0.953138i	−0.998253	−	0.0590835i	$-0.981182\pi$
$487$	−12.1439	−	21.0339i	−0.550294	−	0.953138i	0.447959	−	0.894054i	$-0.352151\pi$
$488$	−0.735867	+	0.365592i	−0.0333111	+	0.0165496i
$489$			52.8781i			2.39123i
$490$	17.9922	−	12.8950i	0.812803	−	0.582538i
$491$	15.9769			0.721025			0.360513	−	0.932754i	$-0.382602\pi$
$491$	15.9769			0.721025			0.360513	+	0.932754i	$0.382602\pi$
$492$	−36.5828	+	4.88943i	−1.64928	+	0.220432i
$493$	−9.91630	+	5.72518i	−0.446608	+	0.257849i
$494$	−10.5776	+	12.0855i	−0.475911	+	0.543750i
$495$	−38.2908	−	12.2980i	−1.72105	−	0.552752i
$496$	−8.00993	+	30.3708i	−0.359657	+	1.36369i
$497$	11.1323	+	17.5999i	0.499352	+	0.789462i
$498$	−9.66641	−	28.3846i	−0.433162	−	1.27194i
$499$	7.03517	−	12.1853i	0.314937	−	0.545487i	−0.664487	−	0.747300i	$-0.731350\pi$
$499$	7.03517	−	12.1853i	0.314937	−	0.545487i	0.979424	+	0.201813i	$0.0646832\pi$
$500$	−5.48370	−	21.6778i	−0.245239	−	0.969463i
$501$	12.9661	−	7.48601i	0.579285	−	0.334450i
$502$	3.02639	−	15.2933i	0.135075	−	0.682573i
$503$			8.77499i			0.391258i	0.980678	+	0.195629i	$0.0626748\pi$
$503$			8.77499i			0.391258i	−0.980678	+	0.195629i	$0.937325\pi$
$504$	−28.2361	+	46.5010i	−1.25774	+	2.07132i
$505$	−5.74590	−	26.5884i	−0.255689	−	1.18317i
$506$	19.6714	+	3.89277i	0.874498	+	0.173055i
$507$	7.28986	+	12.6264i	0.323754	+	0.560758i
$508$	−31.9205	−	13.1484i	−1.41624	−	0.583367i
$509$	−17.8686	+	30.9493i	−0.792011	+	1.37180i	0.132709	+	0.991155i	$0.457633\pi$
$509$	−17.8686	+	30.9493i	−0.792011	+	1.37180i	−0.924720	+	0.380649i	$0.875701\pi$
$510$	−21.1108	+	12.6850i	−0.934803	+	0.561703i
$511$	−4.29157	−	2.25176i	−0.189848	−	0.0996121i
$512$	4.21780	−	22.2308i	0.186402	−	0.982474i
$513$	46.2946	+	26.7282i	2.04396	+	1.18008i
$514$	28.9394	−	33.0647i	1.27646	−	1.45842i
$515$	−18.9696	−	20.9247i	−0.835901	−	0.922051i
$516$	−4.85240	+	0.648543i	−0.213615	+	0.0285505i
$517$		−	8.19591i		−	0.360456i
$518$	−1.93899	+	12.4113i	−0.0851944	+	0.545322i
$519$		−	23.8583i		−	1.04726i
$520$	−14.3658	+	11.4736i	−0.629981	+	0.503149i
$521$	−34.6318	+	19.9947i	−1.51724	+	0.875982i	−0.517450	+	0.855713i	$0.673119\pi$
$521$	−34.6318	+	19.9947i	−1.51724	+	0.875982i	−0.999795	+	0.0202683i	$0.993548\pi$
$522$	36.4499	+	31.9023i	1.59537	+	1.39633i
$523$	17.3266	−	30.0106i	0.757641	−	1.31227i	−0.186409	−	0.982472i	$-0.559685\pi$
$523$	17.3266	−	30.0106i	0.757641	−	1.31227i	0.944050	−	0.329801i	$-0.106982\pi$
$524$	2.50515	+	3.25152i	0.109438	+	0.142043i
$525$	−19.0503	−	37.8722i	−0.831423	−	1.65288i
$526$	8.50590	+	24.9769i	0.370875	+	1.08904i
$527$	−9.54180	+	16.5269i	−0.415647	+	0.719922i
$528$	30.6004	−	8.32851i	1.33171	−	0.362452i
$529$	−4.92420	−	8.52897i	−0.214096	−	0.370825i
$530$	0.0523747	+	2.99826i	0.00227501	+	0.130236i
$531$		−	53.8484i		−	2.33682i
$532$	19.4165	+	7.09508i	0.841812	+	0.307611i
$533$	−16.7398			−0.725080
$534$	3.78506	−	19.1271i	0.163796	−	0.827710i
$535$	14.7339	+	16.2525i	0.637004	+	0.702655i
$536$	−13.4298	−	0.840450i	−0.580077	−	0.0363019i
$537$	15.5840	−	26.9922i	0.672497	−	1.16480i
$538$	1.29461	+	3.80151i	0.0558145	+	0.163895i
$539$	−17.2617	+	1.39748i	−0.743513	+	0.0601938i
$540$	46.7444	+	39.4922i	2.01156	+	1.69947i
$541$	24.2321	+	13.9904i	1.04182	+	0.601495i	0.920348	−	0.391100i	$-0.127905\pi$
$541$	24.2321	+	13.9904i	1.04182	+	0.601495i	0.121472	+	0.992595i	$0.461239\pi$
$542$	−17.4579	+	19.9465i	−0.749883	+	0.856776i
$543$	9.17336	+	15.8887i	0.393667	+	0.681851i
$544$	6.01984	−	12.3599i	0.258098	−	0.529925i
$545$	7.26781	−	1.57061i	0.311319	−	0.0672777i
$546$	−21.8789	+	27.1348i	−0.936332	+	1.16126i
$547$			11.5628i			0.494391i	0.968966	+	0.247196i	$0.0795090\pi$
$547$			11.5628i			0.494391i	−0.968966	+	0.247196i	$0.920491\pi$
$548$	−16.9607	+	2.26686i	−0.724525	+	0.0968356i
$549$	1.05597	+	1.82899i	0.0450677	+	0.0780596i
$550$	−5.05772	+	16.7469i	−0.215662	+	0.714090i
$551$	9.20314	−	15.9403i	0.392067	−	0.679080i
$552$	−43.2796	−	28.7342i	−1.84210	−	1.22301i
$553$	−5.17295	+	0.209055i	−0.219976	+	0.00888993i
$554$	−10.8604	−	31.8908i	−0.461416	−	1.35491i
$555$	22.9055	+	7.35661i	0.972283	+	0.312271i
$556$	10.1656	−	24.6791i	0.431117	−	1.04663i
$557$	22.6698	+	39.2653i	0.960552	+	1.66372i	0.721118	+	0.692812i	$0.243629\pi$
$557$	22.6698	+	39.2653i	0.960552	+	1.66372i	0.239434	+	0.970913i	$0.423038\pi$
$558$	79.1948	+	15.6719i	3.35258	+	0.663443i
$559$	−2.22040			−0.0939127
$560$	20.4388	+	11.9272i	0.863695	+	0.504015i
$561$	19.2684			0.813514
$562$	−14.3736	−	2.84440i	−0.606315	−	0.119984i
$563$	5.15902	+	8.93569i	0.217427	+	0.376594i	0.954021	−	0.299741i	$-0.0969003\pi$
$563$	5.15902	+	8.93569i	0.217427	+	0.376594i	−0.736594	+	0.676335i	$0.763567\pi$
$564$	−8.08681	+	19.6324i	−0.340516	+	0.826674i
$565$	4.26730	−	13.2866i	0.179527	−	0.558973i
$566$	−4.26225	−	12.5157i	−0.179156	−	0.526075i
$567$	51.6383	+	27.0943i	2.16860	+	1.13785i
$568$	−12.3140	+	18.5474i	−0.516682	+	0.778230i
$569$	−4.72049	+	8.17613i	−0.197893	+	0.342761i	−0.947845	−	0.318731i	$-0.896743\pi$
$569$	−4.72049	+	8.17613i	−0.197893	+	0.342761i	0.749952	+	0.661492i	$0.230077\pi$
$570$	19.1933	−	34.6268i	0.803921	−	1.45036i
$571$	14.8128	+	25.6565i	0.619895	+	1.07369i	0.989504	+	0.144503i	$0.0461582\pi$
$571$	14.8128	+	25.6565i	0.619895	+	1.07369i	−0.369609	+	0.929187i	$0.620508\pi$
$572$	14.2570	−	1.90551i	0.596116	−	0.0796732i
$573$			9.86299i			0.412032i
$574$	7.76384	+	20.0990i	0.324056	+	0.838914i
$575$	26.0996	−	11.8332i	1.08843	−	0.493477i
$576$	−57.7048	−	7.25087i	−2.40437	−	0.302119i
$577$	−7.61237	−	13.1850i	−0.316907	−	0.548899i	0.662934	−	0.748678i	$-0.269311\pi$
$577$	−7.61237	−	13.1850i	−0.316907	−	0.548899i	−0.979841	+	0.199779i	$0.935978\pi$
$578$	−10.3327	+	11.8056i	−0.429783	+	0.491047i
$579$	−52.3966	−	30.2512i	−2.17753	−	1.25720i
$580$	13.5980	−	16.0952i	0.564628	−	0.668315i
$581$	−14.7940	+	9.35752i	−0.613758	+	0.388216i
$582$	−23.2961	−	68.4070i	−0.965655	−	2.83556i
$583$	1.17303	−	2.03175i	0.0485819	−	0.0841463i
$584$	0.323604	−	5.17095i	0.0133908	−	0.213975i
$585$	31.7389	+	35.0099i	1.31224	+	1.44748i
$586$	−4.41307	+	22.3006i	−0.182302	+	0.921229i
$587$	24.3201			1.00380			0.501899	−	0.864926i	$-0.332635\pi$
$587$	24.3201			1.00380			0.501899	+	0.864926i	$0.332635\pi$
$588$	42.7273	+	13.6844i	1.76205	+	0.564334i
$589$		−	30.6766i		−	1.26401i
$590$	−23.4197	+	0.409105i	−0.964175	+	0.0168426i
$591$	−7.71317	−	13.3596i	−0.317277	−	0.549540i
$592$	−12.9578	+	3.52673i	−0.532564	+	0.144948i
$593$	4.82898	−	8.36403i	0.198302	−	0.343470i	−0.749676	−	0.661805i	$-0.769791\pi$
$593$	4.82898	−	8.36403i	0.198302	−	0.343470i	0.947978	+	0.318336i	$0.103124\pi$
$594$	−15.4335	−	45.3193i	−0.633246	−	1.85947i
$595$	10.0792	+	10.2535i	0.413205	+	0.420353i
$596$	−14.1644	−	18.3844i	−0.580197	−	0.753056i
$597$	38.7512	−	67.1190i	1.58598	−	2.74700i
$598$	−17.7301	−	15.5181i	−0.725039	−	0.634582i
$599$	9.10218	−	5.25515i	0.371905	−	0.214719i	−0.302385	−	0.953186i	$-0.597783\pi$
$599$	9.10218	−	5.25515i	0.371905	−	0.214719i	0.674290	+	0.738466i	$0.264450\pi$
$600$	28.6392	−	35.1250i	1.16919	−	1.43397i
$601$			9.14888i			0.373191i	0.982437	+	0.186595i	$0.0597453\pi$
$601$			9.14888i			0.373191i	−0.982437	+	0.186595i	$0.940255\pi$
$602$	1.02981	+	2.66596i	0.0419719	+	0.108656i
$603$			34.5857i			1.40844i
$604$	30.6892	−	4.10173i	1.24873	−	0.166897i
$605$	−8.08309	+	7.32786i	−0.328624	+	0.297920i
$606$	36.3112	−	41.4873i	1.47504	−	1.68530i
$607$	−42.1138	−	24.3144i	−1.70935	−	0.986892i	−0.935366	−	0.353682i	$-0.884929\pi$
$607$	−42.1138	−	24.3144i	−1.70935	−	0.986892i	−0.773981	−	0.633209i	$-0.781737\pi$
$608$	1.55379	+	22.0448i	0.0630146	+	0.894037i
$609$	18.5604	−	35.3738i	0.752106	−	1.43342i
$610$	0.787444	−	0.473158i	0.0318827	−	0.0191576i
$611$	−4.81509	+	8.33998i	−0.194798	+	0.337399i
$612$	−32.6726	−	13.4582i	−1.32071	−	0.544016i
$613$	−2.92021	−	5.05795i	−0.117946	−	0.204289i	0.801008	−	0.598654i	$-0.204298\pi$
$613$	−2.92021	−	5.05795i	−0.117946	−	0.204289i	−0.918954	+	0.394366i	$0.870964\pi$
$614$	20.7852	+	4.11320i	0.838824	+	0.165995i
$615$	40.3334	−	8.71627i	1.62640	−	0.351474i
$616$	−8.90023	−	16.2342i	−0.358601	−	0.654095i
$617$			49.5048i			1.99299i	0.0836564	+	0.996495i	$0.473340\pi$
$617$			49.5048i			1.99299i	−0.0836564	+	0.996495i	$0.526660\pi$
$618$	11.1125	−	56.1548i	0.447010	−	2.25888i
$619$	8.25280	−	4.76475i	0.331708	−	0.191512i	−0.324891	−	0.945751i	$-0.605328\pi$
$619$	8.25280	−	4.76475i	0.331708	−	0.191512i	0.656599	+	0.754240i	$0.271994\pi$
$620$	6.21435	−	34.5625i	0.249574	−	1.38806i
$621$	−39.2120	+	67.9172i	−1.57352	+	2.72542i
$622$	−14.1102	−	41.4333i	−0.565766	−	1.66132i
$623$	−11.3733	+	0.459633i	−0.455663	+	0.0184148i
$624$	−36.0313	−	9.50280i	−1.44241	−	0.380416i
$625$	8.04742	+	23.6694i	0.321897	+	0.946775i
$626$	−2.92744	+	3.34474i	−0.117004	+	0.133683i
$627$	−26.8240	+	15.4869i	−1.07125	+	0.618485i
$628$	3.97650	−	0.531475i	0.158680	−	0.0212081i
$629$	−8.15928			−0.325332
$630$	27.3150	−	54.3453i	1.08826	−	2.16517i
$631$		−	7.60958i		−	0.302933i	−0.988462	−	0.151466i	$-0.951601\pi$
$631$		−	7.60958i		−	0.302933i	0.988462	−	0.151466i	$-0.0483995\pi$
$632$	−2.46254	−	4.95661i	−0.0979544	−	0.197163i
$633$	−39.8384	−	69.0021i	−1.58343	−	2.74259i
$634$	3.52561	−	4.02818i	0.140020	−	0.159979i
$635$	36.7485	+	11.8026i	1.45832	+	0.468371i
$636$	−4.81456	+	3.70941i	−0.190910	+	0.147088i
$637$	18.3861	+	8.71916i	0.728484	+	0.345466i
$638$	−15.6045	+	5.31412i	−0.617786	+	0.210388i
$639$	49.5555	+	28.6109i	1.96039	+	1.13183i
$640$	−2.71515	+	25.1521i	−0.107326	+	0.994224i
$641$	−10.7911	−	18.6907i	−0.426222	−	0.738238i	0.570312	−	0.821428i	$-0.306822\pi$
$641$	−10.7911	−	18.6907i	−0.426222	−	0.738238i	−0.996534	+	0.0831906i	$0.973489\pi$
$642$	−8.63121	+	43.6161i	−0.340647	+	1.72139i
$643$	−35.1575			−1.38648			−0.693239	−	0.720708i	$-0.743817\pi$
$643$	−35.1575			−1.38648			−0.693239	+	0.720708i	$0.743817\pi$
$644$	−10.4089	+	28.4852i	−0.410170	+	1.12248i
$645$	5.34990	−	1.15614i	0.210652	−	0.0455231i
$646$	−2.60656	+	13.1717i	−0.102554	+	0.518235i
$647$	0.0712919	−	0.0411604i	0.00280277	−	0.00161818i	−0.498598	−	0.866833i	$-0.666152\pi$
$647$	0.0712919	−	0.0411604i	0.00280277	−	0.00161818i	0.501401	+	0.865215i	$0.332818\pi$
$648$	−3.89376	+	62.2194i	−0.152961	+	2.44421i
$649$	15.8702	+	9.16266i	0.622960	+	0.359666i
$650$	14.9854	−	14.0699i	0.587776	−	0.551865i
$651$	−2.68843	−	66.5235i	−0.105368	−	2.60726i
$652$	20.1411	+	26.1417i	0.788785	+	1.02379i
$653$	12.0368	−	20.8484i	0.471037	−	0.815859i	−0.528415	−	0.848987i	$-0.677213\pi$
$653$	12.0368	−	20.8484i	0.471037	−	0.815859i	0.999451	+	0.0331271i	$0.0105466\pi$
$654$	11.3403	+	9.92549i	0.443442	+	0.388117i
$655$	−3.08229	−	3.39995i	−0.120435	−	0.132847i
$656$	−16.2233	+	16.3515i	−0.633414	+	0.638417i
$657$	−13.3167			−0.519536
$658$	12.2468	+	1.91328i	0.477429	+	0.0745876i
$659$	41.3082			1.60914			0.804569	−	0.593859i	$-0.202396\pi$
$659$	41.3082			1.60914			0.804569	+	0.593859i	$0.202396\pi$
$660$	−33.3592	+	12.0147i	−1.29850	+	0.467672i
$661$	9.80101	+	16.9759i	0.381215	+	0.660284i	0.991236	−	0.132101i	$-0.0421723\pi$
$661$	9.80101	+	16.9759i	0.381215	+	0.660284i	−0.610021	+	0.792385i	$0.708839\pi$
$662$	7.14094	−	8.15885i	0.277541	−	0.317103i
$663$	−19.6071	−	11.3202i	−0.761477	−	0.439639i
$664$	−15.5904	−	10.3508i	−0.605026	−	0.401689i
$665$	−22.2726	−	6.17311i	−0.863695	−	0.239383i
$666$	11.1272	+	32.6740i	0.431169	+	1.26609i
$667$	23.3854	+	13.5016i	0.905487	+	0.522783i
$668$	3.55877	−	8.63966i	0.137693	−	0.334279i
$669$	−18.7689	+	10.8362i	−0.725648	+	0.418953i
$670$	15.0420	−	0.262759i	0.581123	−	0.0101513i
$671$	−0.718722			−0.0277460
$672$	5.30143	+	47.6690i	0.204507	+	1.83887i
$673$		−	38.8213i		−	1.49645i	−0.663444	−	0.748226i	$-0.730906\pi$
$673$		−	38.8213i		−	1.49645i	0.663444	−	0.748226i	$-0.269094\pi$
$674$	−6.82735	+	34.5007i	−0.262980	+	1.32892i
$675$	−55.6219	−	39.8377i	−2.14089	−	1.53336i
$676$	8.41329	+	3.46553i	0.323588	+	0.133290i
$677$	33.5675	+	19.3802i	1.29010	+	0.744842i	0.978672	−	0.205427i	$-0.0658583\pi$
$677$	33.5675	+	19.3802i	1.29010	+	0.744842i	0.311431	+	0.950269i	$0.399192\pi$
$678$	26.7742	−	9.11799i	1.02826	−	0.350174i
$679$	−35.6536	+	22.5517i	−1.36826	+	0.865454i
$680$	−5.60502	+	14.3122i	−0.214943	+	0.548849i
$681$	13.8111	−	23.9216i	0.529243	−	0.916676i
$682$	−18.0944	+	20.6736i	−0.692869	+	0.791634i
$683$	31.8093	−	18.3651i	1.21715	−	0.702721i	0.252842	−	0.967508i	$-0.418635\pi$
$683$	31.8093	−	18.3651i	1.21715	−	0.702721i	0.964307	+	0.264786i	$0.0853013\pi$
$684$	56.3012	−	7.52487i	2.15273	−	0.287721i
$685$	18.6996	−	4.04108i	0.714474	−	0.154402i
$686$	1.94144	−	26.1195i	0.0741245	−	0.997249i
$687$	66.2639			2.52812
$688$	−2.15189	+	2.16889i	−0.0820400	+	0.0826880i
$689$	−2.38730	+	1.37831i	−0.0909487	+	0.0525093i
$690$	50.7997	+	28.1579i	1.93391	+	1.07195i
$691$	23.1244	+	13.3509i	0.879693	+	0.507891i	0.870557	−	0.492067i	$-0.163759\pi$
$691$	23.1244	+	13.3509i	0.879693	+	0.507891i	0.00913605	+	0.999958i	$0.497092\pi$
$692$	−9.08753	−	11.7950i	−0.345456	−	0.448378i
$693$	−40.2161	+	25.4375i	−1.52768	+	0.966292i
$694$	−29.9038	+	10.1838i	−1.13513	+	0.386571i
$695$	−9.12507	+	28.4118i	−0.346134	+	1.07772i
$696$	42.6221	+	2.66734i	1.61559	+	0.101105i
$697$	−12.1200	+	6.99747i	−0.459077	+	0.265048i
$698$	−8.64599	−	1.71096i	−0.327256	−	0.0647607i
$699$			70.7744i			2.67693i
$700$	−23.8434	−	11.4670i	−0.901196	−	0.433411i
$701$		−	28.7252i		−	1.08494i	−0.840076	−	0.542468i	$-0.817490\pi$
$701$		−	28.7252i		−	1.08494i	0.840076	−	0.542468i	$-0.182510\pi$
$702$	−10.9202	+	55.1830i	−0.412156	+	2.08275i
$703$	11.3587	−	6.55796i	0.428402	−	0.247338i
$704$	11.9558	−	15.7730i	0.450603	−	0.594467i
$705$	7.25907	−	22.6018i	0.273392	−	0.851233i
$706$	−4.60688	−	13.5277i	−0.173382	−	0.509122i
$707$	−28.5010	−	14.9543i	−1.07189	−	0.562416i
$708$	−28.9746	−	37.6071i	−1.08893	−	1.41336i
$709$	−26.2847	−	15.1755i	−0.987142	−	0.569927i	−0.0827230	−	0.996573i	$-0.526362\pi$
$709$	−26.2847	−	15.1755i	−0.987142	−	0.569927i	−0.904419	+	0.426646i	$0.859695\pi$
$710$	12.0670	−	21.7701i	0.452865	−	0.817016i
$711$	−12.3196	+	7.11275i	−0.462023	+	0.266749i
$712$	−5.41418	−	10.8977i	−0.202905	−	0.408409i
$713$	45.0045			1.68543
$714$	−4.49809	+	28.7919i	−0.168337	+	1.07751i
$715$	−15.7187	+	3.39690i	−0.587847	+	0.127037i
$716$	−2.57687	−	19.2802i	−0.0963023	−	0.720535i
$717$	−29.9332	+	17.2819i	−1.11787	+	0.645405i
$718$	22.6623	+	19.8349i	0.845750	+	0.740232i
$719$	23.6997	−	41.0491i	0.883849	−	1.53087i	0.0368218	−	0.999322i	$-0.488277\pi$
$719$	23.6997	−	41.0491i	0.883849	−	1.53087i	0.847027	−	0.531549i	$-0.178390\pi$
$720$	64.9574	+	2.92721i	2.42082	+	0.109091i
$721$	−33.3907	+	1.34943i	−1.24354	+	0.0502553i
$722$	1.70408	+	5.00387i	0.0634192	+	0.186225i
$723$	−49.5606	−	28.6138i	−1.84318	−	1.06416i
$724$	10.5871	+	4.36093i	0.393465	+	0.162073i
$725$	−13.7170	+	19.1519i	−0.509438	+	0.711283i
$726$	−21.6923	−	4.29270i	−0.805077	−	0.159317i
$727$			14.3064i			0.530595i	0.964167	+	0.265297i	$0.0854701\pi$
$727$			14.3064i			0.530595i	−0.964167	+	0.265297i	$0.914530\pi$
$728$	−0.480902	+	21.7484i	−0.0178234	+	0.806051i
$729$	28.6824			1.06231
$730$	0.101172	+	5.79172i	0.00374454	+	0.214361i
$731$	−1.60762	+	0.928157i	−0.0594598	+	0.0343291i
$732$	1.72162	+	0.709154i	0.0636329	+	0.0262111i
$733$	−6.48221	−	3.74251i	−0.239426	−	0.138233i	0.375487	−	0.926828i	$-0.377476\pi$
$733$	−6.48221	−	3.74251i	−0.239426	−	0.138233i	−0.614913	+	0.788595i	$0.710809\pi$
$734$	−40.5760	+	13.8182i	−1.49769	+	0.510040i
$735$	−48.8401	−	11.4347i	−1.80149	−	0.421777i
$736$	−32.3412	+	2.27951i	−1.19211	+	0.0840239i
$737$	−10.1931	−	5.88498i	−0.375467	−	0.216776i
$738$	44.5501	+	38.9919i	1.63991	+	1.43531i
$739$	11.8579	+	20.5385i	0.436199	+	0.755519i	0.997393	−	0.0721655i	$-0.0229910\pi$
$739$	11.8579	+	20.5385i	0.436199	+	0.755519i	−0.561193	+	0.827685i	$0.689658\pi$
$740$	14.1260	−	5.08767i	0.519284	−	0.187026i
$741$	36.3940			1.33697
$742$	2.76211	+	2.22710i	0.101400	+	0.0817595i
$743$	4.32810			0.158783			0.0793914	−	0.996844i	$-0.474702\pi$
$743$	4.32810			0.158783			0.0793914	+	0.996844i	$0.474702\pi$
$744$	63.7415	−	31.6679i	2.33688	−	1.16100i
$745$	17.4276	+	19.2237i	0.638498	+	0.704303i
$746$	−21.7395	+	24.8383i	−0.795938	+	0.909396i
$747$	−24.0496	+	41.6551i	−0.879928	+	1.52408i
$748$	9.52587	−	7.33927i	0.348300	−	0.268350i
$749$	25.9350	−	1.04812i	0.947645	−	0.0382974i
$750$	−28.7803	+	41.7032i	−1.05091	+	1.52278i
$751$	−1.87523	−	1.08267i	−0.0684282	−	0.0395071i	0.465396	−	0.885103i	$-0.345912\pi$
$751$	−1.87523	−	1.08267i	−0.0684282	−	0.0395071i	−0.533824	+	0.845596i	$0.679245\pi$
$752$	3.47998	+	12.7861i	0.126902	+	0.466259i
$753$	−30.5942	+	17.6636i	−1.11492	+	0.643697i
$754$	19.0008	+	3.76007i	0.691968	+	0.136934i
$755$	−33.8356	+	7.31207i	−1.23140	+	0.266113i
$756$	71.3214	−	12.4821i	2.59393	−	0.453970i
$757$	21.9602			0.798158			0.399079	−	0.916917i	$-0.369330\pi$
$757$	21.9602			0.798158			0.399079	+	0.916917i	$0.369330\pi$
$758$	−13.2548	−	2.62300i	−0.481437	−	0.0952717i
$759$	−22.7202	−	39.3525i	−0.824691	−	1.42841i
$760$	−3.70046	−	24.4294i	−0.134230	−	0.886146i
$761$	−5.54542	−	3.20165i	−0.201021	−	0.116060i	0.396110	−	0.918203i	$-0.370360\pi$
$761$	−5.54542	−	3.20165i	−0.201021	−	0.116060i	−0.597132	+	0.802143i	$0.703693\pi$
$762$	25.2188	+	74.0527i	0.913579	+	2.68265i
$763$	4.08769	−	7.79062i	0.147984	−	0.282039i
$764$	3.75677	+	4.87604i	0.135915	+	0.176409i
$765$	37.6143	+	12.0807i	1.35995	+	0.436777i
$766$	−19.9373	−	17.4498i	−0.720362	−	0.630488i
$767$	−10.7661	−	18.6474i	−0.388741	−	0.673320i
$768$	−44.2020	+	25.9858i	−1.59500	+	0.937682i
$769$			12.2214i			0.440714i	0.975419	+	0.220357i	$0.0707222\pi$
$769$			12.2214i			0.440714i	−0.975419	+	0.220357i	$0.929278\pi$
$770$	11.3688	+	17.2975i	0.409704	+	0.623359i
$771$	−99.5706			−3.58595
$772$	−37.4262	+	5.00216i	−1.34700	+	0.180032i
$773$	−41.6408	+	24.0413i	−1.49772	+	0.864706i	−0.999997	−	0.00263190i	$-0.999162\pi$
$773$	−41.6408	+	24.0413i	−1.49772	+	0.864706i	−0.497719	+	0.867338i	$0.665829\pi$
$774$	5.90920	+	5.17196i	0.212402	+	0.185902i
$775$	−3.83888	+	39.0736i	−0.137897	+	1.40356i
$776$	−37.5730	−	24.9455i	−1.34879	−	0.895490i
$777$	24.0571	−	15.2167i	0.863045	−	0.545895i
$778$	−28.6136	+	9.74441i	−1.02585	+	0.349354i
$779$	11.2483	−	19.4827i	0.403013	−	0.698039i
$780$	41.0042	+	7.37256i	1.46818	+	0.263980i
$781$	−16.8644	+	9.73668i	−0.603456	+	0.348406i
$782$	−19.3238	−	3.82399i	−0.691017	−	0.136746i
$783$		−	64.4688i		−	2.30393i
$784$	26.3357	−	9.50943i	0.940562	−	0.339622i
$785$	−4.38419	+	0.947448i	−0.156478	+	0.0338159i
$786$	1.80562	−	9.12433i	0.0644042	−	0.325454i
$787$	13.4764	+	23.3419i	0.480384	+	0.832049i	0.999747	−	0.0225049i	$-0.00716414\pi$
$787$	13.4764	+	23.3419i	0.480384	+	0.832049i	−0.519363	+	0.854554i	$0.673831\pi$
$788$	−8.90183	−	3.66676i	−0.317115	−	0.130623i
$789$	29.8952	−	51.7800i	1.06430	−	1.84342i
$790$	3.18707	+	5.30402i	0.113391	+	0.188709i
$791$	−8.82663	−	13.9547i	−0.313839	−	0.496171i
$792$	−42.3811	−	28.1376i	−1.50595	−	0.999828i
$793$	0.731355	+	0.422248i	0.0259712	+	0.0149945i
$794$	−0.308676	−	0.270165i	−0.0109545	−	0.00958780i
$795$	5.03436	−	4.56398i	0.178550	−	0.161868i
$796$	−6.40768	−	47.9423i	−0.227114	−	1.69927i
$797$		−	1.04481i		−	0.0370090i	−0.999829	−	0.0185045i	$-0.994109\pi$
$797$		−	1.04481i		−	0.0370090i	0.999829	−	0.0185045i	$-0.00589050\pi$
$798$	−16.8794	−	43.6972i	−0.597524	−	1.54686i
$799$			8.05110i			0.284828i
$800$	0.779598	−	28.2735i	0.0275629	−	0.999620i
$801$	−27.0862	+	15.6382i	−0.957044	+	0.552550i
$802$	−24.9640	+	28.5225i	−0.881509	+	1.00716i
$803$	2.26593	−	3.92471i	0.0799631	−	0.138500i
$804$	18.6098	+	24.1542i	0.656317	+	0.851854i
$805$	9.05635	−	32.6753i	0.319194	−	1.15165i
$806$	30.5581	−	10.4066i	1.07636	−	0.366557i
$807$	4.55009	−	7.88098i	0.160171	−	0.277424i
$808$	2.14911	−	34.3412i	0.0756054	−	1.20812i
$809$	−20.5368	−	35.5707i	−0.722034	−	1.25060i	−0.960183	−	0.279371i	$-0.909874\pi$
$809$	−20.5368	−	35.5707i	−0.722034	−	1.25060i	0.238150	−	0.971229i	$-0.423459\pi$
$810$	−1.21735	−	69.6888i	−0.0427733	−	2.44862i
$811$			52.7552i			1.85249i	0.376926	+	0.926244i	$0.376981\pi$
$811$			52.7552i			1.85249i	−0.376926	+	0.926244i	$0.623019\pi$
$812$	−4.29788	−	24.5576i	−0.150826	−	0.861802i
$813$	60.0667			2.10663
$814$	−11.5230	−	2.28030i	−0.403883	−	0.0799244i
$815$	−24.7811	−	27.3351i	−0.868046	−	0.957508i
$816$	−30.0597	+	8.18135i	−1.05230	+	0.286405i
$817$	1.49200	−	2.58422i	0.0521984	−	0.0904103i
$818$	−17.1212	+	5.83066i	−0.598630	+	0.203864i
$819$	55.8675	−	2.25778i	1.95217	−	0.0788933i
$820$	16.6199	−	19.6720i	0.580392	−	0.686975i
$821$	−25.0058	−	14.4371i	−0.872710	−	0.503859i	−0.00446216	−	0.999990i	$-0.501420\pi$
$821$	−25.0058	−	14.4371i	−0.872710	−	0.503859i	−0.868248	+	0.496131i	$0.834754\pi$
$822$	29.1779	+	25.5376i	1.01770	+	0.890727i
$823$	−6.70757	−	11.6178i	−0.233811	−	0.404973i	0.725115	−	0.688627i	$-0.241786\pi$
$823$	−6.70757	−	11.6178i	−0.233811	−	0.404973i	−0.958926	+	0.283655i	$0.908453\pi$
$824$	−15.8954	−	31.9943i	−0.553742	−	1.11458i
$825$	36.1045	−	16.3692i	1.25700	−	0.569903i
$826$	−17.3961	+	21.5751i	−0.605289	+	0.750695i
$827$		−	30.8083i		−	1.07131i	−0.844437	−	0.535655i	$-0.820065\pi$
$827$		−	30.8083i		−	1.07131i	0.844437	−	0.535655i	$-0.179935\pi$
$828$	11.0395	+	82.5974i	0.383648	+	2.87046i
$829$	−8.18705	−	14.1804i	−0.284348	−	0.492505i	0.688103	−	0.725613i	$-0.258444\pi$
$829$	−8.18705	−	14.1804i	−0.284348	−	0.492505i	−0.972451	+	0.233108i	$0.925110\pi$
$830$	18.2994	+	10.1432i	0.635180	+	0.352075i
$831$	−38.1706	+	66.1134i	−1.32412	+	2.29345i
$832$	−21.4326	+	9.02620i	−0.743042	+	0.312927i
$833$	16.9567	−	1.37279i	0.587514	−	0.0475643i
$834$	−57.2532	+	19.4977i	−1.98252	+	0.675149i
$835$	−3.19451	+	9.94640i	−0.110551	+	0.344210i
$836$	−7.36230	+	17.8735i	−0.254630	+	0.618168i
$837$	−53.7231	−	93.0511i	−1.85694	−	3.21632i
$838$	3.11889	−	15.7607i	0.107740	−	0.544444i
$839$	−23.6109			−0.815137			−0.407569	−	0.913175i	$-0.633623\pi$
$839$	−23.6109			−0.815137			−0.407569	+	0.913175i	$0.633623\pi$
$840$	−10.1655	−	52.6518i	−0.350744	−	1.81666i
$841$	6.80193			0.234549
$842$	9.93650	−	50.2122i	0.342434	−	1.73043i
$843$	16.6014	+	28.7545i	0.571783	+	0.990356i
$844$	−45.9778	−	18.9388i	−1.58262	−	0.651900i
$845$	−9.68579	−	3.11081i	−0.333201	−	0.107015i
$846$	32.2408	−	10.9796i	1.10846	−	0.377488i
$847$	0.521277	+	12.8987i	0.0179113	+	0.443204i
$848$	−0.967309	+	3.66770i	−0.0332175	+	0.125949i
$849$	−14.9803	+	25.9466i	−0.514122	+	0.890485i
$850$	4.96836	−	16.4510i	0.170413	−	0.564265i
$851$	9.62094	+	16.6640i	0.329802	+	0.571233i
$852$	50.0039	−	6.68322i	1.71311	−	0.228963i
$853$			38.4550i			1.31667i	0.752724	+	0.658336i	$0.228740\pi$
$853$			38.4550i			1.31667i	−0.752724	+	0.658336i	$0.771260\pi$
$854$	0.167781	−	1.07395i	0.00574135	−	0.0367499i
$855$	−62.0734	+	13.4144i	−2.12287	+	0.458764i
$856$	12.3461	+	24.8504i	0.421983	+	0.849370i
$857$	−8.83986	−	15.3111i	−0.301964	−	0.523017i	0.674617	−	0.738168i	$-0.264309\pi$
$857$	−8.83986	−	15.3111i	−0.301964	−	0.523017i	−0.976581	+	0.215151i	$0.930976\pi$
$858$	−24.5267	−	21.4667i	−0.837329	−	0.732862i
$859$	10.4581	+	6.03798i	0.356825	+	0.206013i	0.667687	−	0.744442i	$-0.267284\pi$
$859$	10.4581	+	6.03798i	0.356825	+	0.206013i	−0.310862	+	0.950455i	$0.600618\pi$
$860$	2.20450	−	2.60932i	0.0751727	−	0.0889772i
$861$	22.6851	−	43.2348i	0.773105	−	1.47344i
$862$	40.2660	−	13.7126i	1.37146	−	0.467054i
$863$	3.86108	−	6.68759i	0.131433	−	0.227648i	−0.792796	−	0.609487i	$-0.791376\pi$
$863$	3.86108	−	6.68759i	0.131433	−	0.227648i	0.924229	+	0.381838i	$0.124709\pi$
$864$	43.3196	+	64.1474i	1.47376	+	2.18234i
$865$	11.1811	+	12.3335i	0.380169	+	0.419350i
$866$	19.3544	+	3.83004i	0.657688	+	0.130150i
$867$	35.5512			1.20738
$868$	−26.6676	−	31.8637i	−0.905159	−	1.08152i
$869$		−	4.84113i		−	0.164224i
$870$	−47.7390	+	0.833922i	−1.61850	+	0.0282726i
$871$	6.91484	+	11.9769i	0.234300	+	0.405820i
$872$	9.38698	+	0.587448i	0.317883	+	0.0198935i
$873$	−57.9596	+	100.389i	−1.96164	+	3.39765i
$874$	29.9746	−	10.2079i	1.01391	−	0.345287i
$875$	27.5967	+	10.6501i	0.932938	+	0.360038i
$876$	−9.30026	+	7.16545i	−0.314227	+	0.242098i
$877$	−4.57193	+	7.91882i	−0.154383	+	0.267399i	−0.932834	−	0.360306i	$-0.882672\pi$
$877$	−4.57193	+	7.91882i	−0.154383	+	0.267399i	0.778451	+	0.627705i	$0.216006\pi$
$878$	10.4022	−	11.8850i	0.351058	−	0.401100i
$879$	44.6123	−	25.7570i	1.50474	−	0.868760i
$880$	−11.9156	+	18.6462i	−0.401676	+	0.628562i
$881$		−	4.52233i		−	0.152361i	−0.997094	−	0.0761805i	$-0.975727\pi$
$881$		−	4.52233i		−	0.152361i	0.997094	−	0.0761805i	$-0.0242725\pi$
$882$	−28.6219	−	66.0312i	−0.963751	−	2.22339i
$883$			37.8342i			1.27322i	0.771185	+	0.636611i	$0.219664\pi$
$883$			37.8342i			1.27322i	−0.771185	+	0.636611i	$0.780336\pi$
$884$	−14.0051	+	1.87184i	−0.471043	+	0.0629567i
$885$	35.6498	+	39.3239i	1.19835	+	1.32186i
$886$	19.7574	+	17.2924i	0.663762	+	0.580950i
$887$	13.0412	+	7.52933i	0.437880	+	0.252810i	0.702698	−	0.711488i	$-0.251979\pi$
$887$	13.0412	+	7.52933i	0.437880	+	0.252810i	−0.264818	+	0.964298i	$0.585312\pi$
$888$	25.3523	+	16.8319i	0.850766	+	0.564840i
$889$	38.5961	−	24.4129i	1.29447	−	0.818782i
$890$	7.00717	+	11.6615i	0.234881	+	0.390895i
$891$	−27.2648	+	47.2241i	−0.913406	+	1.58207i
$892$	−5.15144	+	12.5062i	−0.172483	+	0.418738i
$893$	−6.47101	−	11.2081i	−0.216544	−	0.375066i
$894$	−10.2092	+	51.5900i	−0.341445	+	1.72543i
$895$	4.59373	+	21.2569i	0.153552	+	0.710539i
$896$	20.7778	+	21.5472i	0.694139	+	0.719841i
$897$			53.3923i			1.78272i
$898$	11.6520	+	2.30581i	0.388831	+	0.0769458i
$899$	−32.0396	+	18.4981i	−1.06858	+	0.616945i
$900$	−72.6539	+	2.53907i	−2.42180	+	0.0846356i
$901$	−1.15230	+	1.99585i	−0.0383888	+	0.0664913i
$902$	−19.0722	+	6.49506i	−0.635035	+	0.216262i
$903$	3.00899	−	5.73474i	0.100133	−	0.190840i
$904$	9.76355	−	14.7059i	0.324731	−	0.489112i
$905$	−12.1883	−	3.91456i	−0.405154	−	0.130124i
$906$	−52.7954	−	46.2086i	−1.75401	−	1.53518i
$907$	38.3608	−	22.1476i	1.27375	−	0.735400i	0.298058	−	0.954548i	$-0.403661\pi$
$907$	38.3608	−	22.1476i	1.27375	−	0.735400i	0.975692	+	0.219148i	$0.0703279\pi$
$908$	−2.28373	−	17.0869i	−0.0757881	−	0.567048i
$909$	−88.4388			−2.93333
$910$	−1.40640	−	24.2807i	−0.0466217	−	0.804899i
$911$			41.0968i			1.36160i	0.732470	+	0.680799i	$0.238367\pi$
$911$			41.0968i			1.36160i	−0.732470	+	0.680799i	$0.761633\pi$
$912$	35.2712	−	35.5497i	1.16794	−	1.17717i
$913$	−8.18440	−	14.1758i	−0.270864	−	0.469150i
$914$	−30.1090	−	26.3525i	−0.995917	−	0.871664i
$915$	−1.98201	−	0.636568i	−0.0655233	−	0.0210443i
$916$	32.7593	−	25.2397i	1.08240	−	0.833942i
$917$	−5.42551	+	0.219262i	−0.179166	+	0.00724068i
$918$	15.1608	+	44.5185i	0.500383	+	1.46933i
$919$	−13.1904	−	7.61549i	−0.435112	−	0.251212i	0.266410	−	0.963860i	$-0.414162\pi$
$919$	−13.1904	−	7.61549i	−0.435112	−	0.251212i	−0.701522	+	0.712648i	$0.747496\pi$
$920$	35.8394	−	5.42881i	1.18159	−	0.178983i
$921$	−24.0067	−	41.5809i	−0.791049	−	1.37014i
$922$	−43.8236	−	8.67227i	−1.44325	−	0.285606i
$923$	22.8811			0.753142
$924$	−14.3991	+	39.4047i	−0.473694	+	1.29632i
$925$	−15.2886	+	6.93160i	−0.502684	+	0.227910i
$926$	28.5823	+	5.65616i	0.939273	+	0.185873i
$927$	−79.5218	+	45.9119i	−2.61184	+	1.50795i
$928$	22.0874	−	14.9159i	0.725054	−	0.489640i
$929$	−6.33630	−	3.65826i	−0.207887	−	0.120024i	0.392442	−	0.919777i	$-0.371630\pi$
$929$	−6.33630	−	3.65826i	−0.207887	−	0.120024i	−0.600329	+	0.799753i	$0.704964\pi$
$930$	−68.2091	+	40.9854i	−2.23667	+	1.34396i
$931$	−22.5024	+	15.5399i	−0.737487	+	0.509299i
$932$	26.9577	+	34.9892i	0.883029	+	1.14611i
$933$	−49.5922	+	85.8962i	−1.62358	+	2.81212i
$934$	15.2491	−	17.4228i	0.498966	−	0.570092i
$935$	−9.96074	+	9.03008i	−0.325751	+	0.295315i
$936$	26.5952	+	53.5311i	0.869292	+	1.74972i
$937$	−18.5605			−0.606347			−0.303173	−	0.952935i	$-0.598046\pi$
$937$	−18.5605			−0.606347			−0.303173	+	0.952935i	$0.598046\pi$
$938$	11.1732	−	13.8573i	0.364817	−	0.452455i
$939$	10.0723			0.328698
$940$	−5.02022	−	13.9388i	−0.163741	−	0.454632i
$941$	−7.91298	−	13.7057i	−0.257956	−	0.446792i	0.707738	−	0.706475i	$-0.249716\pi$
$941$	−7.91298	−	13.7057i	−0.257956	−	0.446792i	−0.965694	+	0.259682i	$0.916382\pi$
$942$	−6.84088	−	5.98740i	−0.222888	−	0.195080i
$943$	28.5823	+	16.5020i	0.930768	+	0.537379i
$944$	−28.6488	−	7.55576i	−0.932439	−	0.245919i
$945$	−78.3701	+	20.2805i	−2.54938	+	0.659726i
$946$	−2.52977	+	0.861517i	−0.0822500	+	0.0280103i
$947$	13.2327	+	7.63993i	0.430006	+	0.248264i	0.699349	−	0.714780i	$-0.253473\pi$
$947$	13.2327	+	7.63993i	0.430006	+	0.248264i	−0.269343	+	0.963044i	$0.586807\pi$
$948$	−4.77668	+	11.5964i	−0.155139	+	0.376633i
$949$	−4.61153	+	2.66247i	−0.149696	+	0.0864273i
$950$	6.30580	+	26.8951i	0.204587	+	0.872592i
$951$	−12.1304			−0.393356
$952$	8.74297	+	15.9474i	0.283361	+	0.516857i
$953$			13.4292i			0.435014i	0.976059	+	0.217507i	$0.0697924\pi$
$953$			13.4292i			0.435014i	−0.976059	+	0.217507i	$0.930208\pi$
$954$	9.56386	+	1.89259i	0.309641	+	0.0612750i
$955$	−4.62226	−	5.09864i	−0.149573	−	0.164988i
$956$	−8.21566	+	19.9452i	−0.265713	+	0.645074i
$957$	32.3499	+	18.6772i	1.04572	+	0.603749i
$958$	−17.1126	−	50.2496i	−0.552882	−	1.62349i
$959$	10.5174	−	20.0447i	0.339623	−	0.647278i
$960$	46.9406	−	32.9078i	1.51500	−	1.06210i
$961$	−15.3296	+	26.5516i	−0.494503	+	0.856504i
$962$	10.3859	+	9.09015i	0.334856	+	0.293078i
$963$	61.7656	−	35.6604i	1.99037	−	1.14914i
$964$	−35.4005	+	4.73142i	−1.14017	+	0.152389i
$965$	41.2633	−	8.91724i	1.32831	−	0.287056i
$966$	64.1066	−	24.7631i	2.06259	−	0.796741i
$967$	−20.1963			−0.649468			−0.324734	−	0.945805i	$-0.605275\pi$
$967$	−20.1963			−0.649468			−0.324734	+	0.945805i	$0.605275\pi$
$968$	−12.3592	+	6.14030i	−0.397241	+	0.197357i
$969$	26.3501	−	15.2132i	0.846486	−	0.488719i
$970$	44.1016	+	24.4451i	1.41602	+	0.784886i
$971$	−24.0745	−	13.8994i	−0.772587	−	0.446053i	0.0612095	−	0.998125i	$-0.480504\pi$
$971$	−24.0745	−	13.8994i	−0.772587	−	0.446053i	−0.833797	+	0.552071i	$0.813838\pi$
$972$	46.8695	−	36.1109i	1.50334	−	1.15826i
$973$	18.8746	+	29.8403i	0.605092	+	0.956635i
$974$	11.0729	+	32.5145i	0.354797	+	1.04183i
$975$	−46.3560	−	4.55436i	−1.48458	−	0.145856i
$976$	1.12124	−	0.305169i	0.0358901	−	0.00976821i
$977$	35.2559	−	20.3550i	1.12794	−	0.651214i	0.184521	−	0.982829i	$-0.440927\pi$
$977$	35.2559	−	20.3550i	1.12794	−	0.651214i	0.943415	+	0.331615i	$0.107593\pi$
$978$	14.5169	−	73.3583i	0.464199	−	2.34574i
$979$		−	10.6438i		−	0.340177i
$980$	−28.5009	+	12.9499i	−0.910427	+	0.413670i
$981$		−	24.1743i		−	0.771826i
$982$	−22.1649	−	4.38621i	−0.707309	−	0.139970i
$983$	34.7777	−	20.0789i	1.10924	−	0.640418i	0.170605	−	0.985339i	$-0.445428\pi$
$983$	34.7777	−	20.0789i	1.10924	−	0.640418i	0.938632	+	0.344921i	$0.112094\pi$
$984$	52.0940	+	3.26010i	1.66069	+	0.103928i
$985$	10.2482	+	3.29145i	0.326536	+	0.104874i
$986$	15.3287	−	5.22022i	0.488167	−	0.166246i
$987$	−15.0149	−	23.7382i	−0.477930	−	0.755595i
$988$	17.9924	−	13.8623i	0.572413	−	0.441020i
$989$	3.79121	+	2.18886i	0.120553	+	0.0696016i
$990$	49.7451	+	27.5733i	1.58100	+	0.876336i
$991$	6.03398	−	3.48372i	0.191676	−	0.110664i	−0.401091	−	0.916038i	$-0.631369\pi$
$991$	6.03398	−	3.48372i	0.191676	−	0.110664i	0.592767	+	0.805374i	$0.298036\pi$
$992$	19.4501	−	39.9348i	0.617542	−	1.26793i
$993$	−24.5695			−0.779689
$994$	−10.6122	−	27.4727i	−0.336598	−	0.871381i
$995$	11.4228	+	52.8576i	0.362128	+	1.67570i
$996$	5.61774	+	42.0320i	0.178005	+	1.33184i
$997$	13.7596	−	7.94408i	0.435770	−	0.251592i	−0.266032	−	0.963964i	$-0.585713\pi$
$997$	13.7596	−	7.94408i	0.435770	−	0.251592i	0.701802	+	0.712373i	$0.252379\pi$
$998$	−13.1052	+	14.9733i	−0.414839	+	0.473973i
$999$	22.9695	−	39.7844i	0.726724	−	1.25872i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.ba.b.19.3	✓	80
4.3	odd	2		1120.2.bq.b.719.2		80
5.4	even	2	inner	280.2.ba.b.19.38	yes	80
7.3	odd	6	inner	280.2.ba.b.59.29	yes	80
8.3	odd	2	inner	280.2.ba.b.19.12	yes	80
8.5	even	2		1120.2.bq.b.719.1		80
20.19	odd	2		1120.2.bq.b.719.40		80
28.3	even	6		1120.2.bq.b.1039.39		80
35.24	odd	6	inner	280.2.ba.b.59.12	yes	80
40.19	odd	2	inner	280.2.ba.b.19.29	yes	80
40.29	even	2		1120.2.bq.b.719.39		80
56.3	even	6	inner	280.2.ba.b.59.38	yes	80
56.45	odd	6		1120.2.bq.b.1039.40		80
140.59	even	6		1120.2.bq.b.1039.1		80
280.59	even	6	inner	280.2.ba.b.59.3	yes	80
280.269	odd	6		1120.2.bq.b.1039.2		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.3	✓	80	1.1	even	1	trivial
280.2.ba.b.19.12	yes	80	8.3	odd	2	inner
280.2.ba.b.19.29	yes	80	40.19	odd	2	inner
280.2.ba.b.19.38	yes	80	5.4	even	2	inner
280.2.ba.b.59.3	yes	80	280.59	even	6	inner
280.2.ba.b.59.12	yes	80	35.24	odd	6	inner
280.2.ba.b.59.29	yes	80	7.3	odd	6	inner
280.2.ba.b.59.38	yes	80	56.3	even	6	inner
1120.2.bq.b.719.1		80	8.5	even	2
1120.2.bq.b.719.2		80	4.3	odd	2
1120.2.bq.b.719.39		80	40.29	even	2
1120.2.bq.b.719.40		80	20.19	odd	2
1120.2.bq.b.1039.1		80	140.59	even	6
1120.2.bq.b.1039.2		80	280.269	odd	6
1120.2.bq.b.1039.39		80	28.3	even	6
1120.2.bq.b.1039.40		80	56.45	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.38731 - 0.274535i) q^{2} +(1.60233 + 2.77531i) q^{3} +(1.84926 + 0.761731i) q^{4} +(-2.12896 - 0.683763i) q^{5} +(-1.46101 - 4.29012i) q^{6} +(-2.23600 + 1.41432i) q^{7} +(-2.35638 - 1.56444i) q^{8} +(-3.63491 + 6.29586i) q^{9} +O(q^{10})\)	\(q+(-1.38731 - 0.274535i) q^{2} +(1.60233 + 2.77531i) q^{3} +(1.84926 + 0.761731i) q^{4} +(-2.12896 - 0.683763i) q^{5} +(-1.46101 - 4.29012i) q^{6} +(-2.23600 + 1.41432i) q^{7} +(-2.35638 - 1.56444i) q^{8} +(-3.63491 + 6.29586i) q^{9} +(2.76581 + 1.53307i) q^{10} +(-1.23701 - 2.14257i) q^{11} +(0.849080 + 6.35282i) q^{12} +2.90697i q^{13} +(3.49031 - 1.34824i) q^{14} +(-1.51364 - 7.00414i) q^{15} +(2.83953 + 2.81728i) q^{16} +(1.21515 + 2.10471i) q^{17} +(6.77119 - 7.73639i) q^{18} +(-3.38329 - 1.95334i) q^{19} +(-3.41616 - 2.88615i) q^{20} +(-7.50799 - 3.93940i) q^{21} +(1.12791 + 3.31201i) q^{22} +(2.86568 - 4.96350i) q^{23} +(0.566137 - 9.04644i) q^{24} +(4.06494 + 2.91141i) q^{25} +(0.798065 - 4.03287i) q^{26} -13.6833 q^{27} +(-5.21228 + 0.912214i) q^{28} +4.71148i q^{29} +(0.176998 + 10.1325i) q^{30} +(3.92617 + 6.80032i) q^{31} +(-3.16587 - 4.68799i) q^{32} +(3.96419 - 6.86619i) q^{33} +(-1.10798 - 3.25349i) q^{34} +(5.72741 - 1.48213i) q^{35} +(-11.5177 + 8.87385i) q^{36} +(-1.67865 + 2.90751i) q^{37} +(4.15741 + 3.63872i) q^{38} +(-8.06775 + 4.65792i) q^{39} +(3.94692 + 4.94184i) q^{40} +5.75850i q^{41} +(9.33441 + 7.52638i) q^{42} +0.763818i q^{43} +(-0.655496 - 4.90443i) q^{44} +(12.0435 - 10.9182i) q^{45} +(-5.33824 + 6.09918i) q^{46} +(2.86896 + 1.65640i) q^{47} +(-3.26897 + 12.3948i) q^{48} +(2.99940 - 6.32484i) q^{49} +(-4.84005 - 5.15499i) q^{50} +(-3.89415 + 6.74487i) q^{51} +(-2.21433 + 5.37574i) q^{52} +(0.474139 + 0.821232i) q^{53} +(18.9830 + 3.75656i) q^{54} +(1.16854 + 5.40726i) q^{55} +(7.48149 + 0.165431i) q^{56} -12.5196i q^{57} +(1.29347 - 6.53629i) q^{58} +(-6.41474 + 3.70355i) q^{59} +(2.53617 - 14.1055i) q^{60} +(0.145254 - 0.251587i) q^{61} +(-3.57989 - 10.5120i) q^{62} +(-0.776680 - 19.2185i) q^{63} +(3.10502 + 7.37284i) q^{64} +(1.98768 - 6.18882i) q^{65} +(-7.38458 + 8.43722i) q^{66} +(4.12005 - 2.37871i) q^{67} +(0.643915 + 4.81778i) q^{68} +18.3670 q^{69} +(-8.35260 + 0.483803i) q^{70} -7.87114i q^{71} +(18.4147 - 9.14879i) q^{72} +(0.915891 + 1.58637i) q^{73} +(3.12702 - 3.57277i) q^{74} +(-1.56671 + 15.9465i) q^{75} +(-4.76866 - 6.18939i) q^{76} +(5.79623 + 3.04125i) q^{77} +(12.4712 - 4.24710i) q^{78} +(1.69463 + 0.978393i) q^{79} +(-4.11890 - 7.93944i) q^{80} +(-11.0205 - 19.0880i) q^{81} +(1.58091 - 7.98883i) q^{82} +6.61627 q^{83} +(-10.8835 - 13.0041i) q^{84} +(-1.14789 - 5.31172i) q^{85} +(0.209695 - 1.05965i) q^{86} +(-13.0758 + 7.54934i) q^{87} +(-0.437062 + 6.98393i) q^{88} +(3.72584 + 2.15111i) q^{89} +(-19.7054 + 11.8406i) q^{90} +(-4.11138 - 6.49998i) q^{91} +(9.08023 - 6.99593i) q^{92} +(-12.5820 + 21.7927i) q^{93} +(-3.52540 - 3.08557i) q^{94} +(5.86726 + 6.47195i) q^{95} +(7.93789 - 16.2980i) q^{96} +15.9453 q^{97} +(-5.89749 + 7.95107i) q^{98} +17.9857 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) \) 80 * q + 6 * q^4 - 52 * q^9	\( 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) \) 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

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