LMFDB - Embedded newform 260.2.bc.c.19.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(19,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 5]))

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

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

chi := DirichletCharacter("260.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bc (of order $12$, degree $4$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.13
Character	$\chi$	$=$	260.19
Dual form			260.2.bc.c.219.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.691873 - 1.23341i) q^{2} +(-0.267386 + 0.463127i) q^{3} +(-1.04262 + 1.70673i) q^{4} +(-1.00857 - 1.99569i) q^{5} +(0.756225 + 0.00937347i) q^{6} +(-1.03041 + 3.84553i) q^{7} +(2.82647 + 0.105146i) q^{8} +(1.35701 + 2.35041i) q^{9} +O(q^{10})$	\(q+(-0.691873 - 1.23341i) q^{2} +(-0.267386 + 0.463127i) q^{3} +(-1.04262 + 1.70673i) q^{4} +(-1.00857 - 1.99569i) q^{5} +(0.756225 + 0.00937347i) q^{6} +(-1.03041 + 3.84553i) q^{7} +(2.82647 + 0.105146i) q^{8} +(1.35701 + 2.35041i) q^{9} +(-1.76371 + 2.62475i) q^{10} +(0.531930 + 1.98519i) q^{11} +(-0.511650 - 0.939224i) q^{12} +(-0.592397 - 3.55655i) q^{13} +(5.45605 - 1.38970i) q^{14} +(1.19394 + 0.0665249i) q^{15} +(-1.82587 - 3.55896i) q^{16} +(3.30468 + 5.72388i) q^{17} +(1.96015 - 3.29994i) q^{18} +(-0.655404 + 2.44600i) q^{19} +(4.45767 + 0.359397i) q^{20} +(-1.50545 - 1.50545i) q^{21} +(2.08053 - 2.02959i) q^{22} +(5.46431 + 3.15482i) q^{23} +(-0.804456 + 1.28090i) q^{24} +(-2.96557 + 4.02559i) q^{25} +(-3.97684 + 3.19135i) q^{26} -3.05570 q^{27} +(-5.48897 - 5.76807i) q^{28} +(1.10679 - 1.91702i) q^{29} +(-0.743999 - 1.51865i) q^{30} +(-1.45593 - 1.45593i) q^{31} +(-3.12640 + 4.71440i) q^{32} +(-1.06162 - 0.284462i) q^{33} +(4.77350 - 8.03624i) q^{34} +(8.71374 - 1.82211i) q^{35} +(-5.42637 - 0.134541i) q^{36} +(0.462192 + 1.72492i) q^{37} +(3.47039 - 0.883937i) q^{38} +(1.80553 + 0.676619i) q^{39} +(-2.64086 - 5.74681i) q^{40} +(-0.606961 - 2.26521i) q^{41} +(-0.815266 + 2.89843i) q^{42} +(-3.33357 + 1.92464i) q^{43} +(-3.94279 - 1.16194i) q^{44} +(3.32205 - 5.07872i) q^{45} +(0.110595 - 8.92249i) q^{46} +(-1.84265 - 1.84265i) q^{47} +(2.13646 + 0.106008i) q^{48} +(-7.66421 - 4.42493i) q^{49} +(7.01702 + 0.872584i) q^{50} -3.53451 q^{51} +(6.68773 + 2.69708i) q^{52} +7.09984i q^{53} +(2.11416 + 3.76895i) q^{54} +(3.42534 - 3.06377i) q^{55} +(-3.31676 + 10.7609i) q^{56} +(-0.957563 - 0.957563i) q^{57} +(-3.13024 - 0.0387996i) q^{58} +(-11.3182 - 3.03269i) q^{59} +(-1.35837 + 1.96837i) q^{60} +(-1.29491 - 2.24285i) q^{61} +(-0.788447 + 2.80308i) q^{62} +(-10.4368 + 2.79654i) q^{63} +(7.97789 + 0.594385i) q^{64} +(-6.50031 + 4.76928i) q^{65} +(0.383650 + 1.50623i) q^{66} +(1.14361 + 4.26801i) q^{67} +(-13.2147 - 0.327644i) q^{68} +(-2.92216 + 1.68711i) q^{69} +(-8.27622 - 9.48698i) q^{70} +(3.53903 - 13.2078i) q^{71} +(3.58841 + 6.78605i) q^{72} +(2.37496 - 2.37496i) q^{73} +(1.80777 - 1.76350i) q^{74} +(-1.07141 - 2.44982i) q^{75} +(-3.49133 - 3.66886i) q^{76} -8.18221 q^{77} +(-0.414648 - 2.69511i) q^{78} +15.1372i q^{79} +(-5.26107 + 7.23334i) q^{80} +(-3.25397 + 5.63605i) q^{81} +(-2.37400 + 2.31587i) q^{82} +(9.02147 - 9.02147i) q^{83} +(4.13903 - 0.999784i) q^{84} +(8.09010 - 12.3681i) q^{85} +(4.68028 + 2.78007i) q^{86} +(0.591882 + 1.02517i) q^{87} +(1.29475 + 5.66701i) q^{88} +(-0.227842 + 0.0610500i) q^{89} +(-8.56261 - 0.583637i) q^{90} +(14.2873 + 1.38662i) q^{91} +(-11.0816 + 6.03682i) q^{92} +(1.06358 - 0.284984i) q^{93} +(-0.997873 + 3.54763i) q^{94} +(5.54249 - 1.15898i) q^{95} +(-1.34741 - 2.70849i) q^{96} +(-1.56859 + 5.85405i) q^{97} +(-0.155120 + 12.5146i) q^{98} +(-3.94417 + 3.94417i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9}+O(q^{10}) $ 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9	$ 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9} - 12 q^{10} - 32 q^{14} - 36 q^{16} + 18 q^{20} + 8 q^{21} - 28 q^{24} + 28 q^{26} - 6 q^{30} + 16 q^{34} + 24 q^{36} - 88 q^{40} - 72 q^{41} + 68 q^{45} + 64 q^{46} - 24 q^{49} - 34 q^{50} + 80 q^{54} + 96 q^{56} - 48 q^{60} - 8 q^{61} + 40 q^{66} - 24 q^{69} - 80 q^{70} - 24 q^{74} - 28 q^{76} - 92 q^{80} - 8 q^{81} + 84 q^{84} + 20 q^{85} - 52 q^{86} - 104 q^{89} - 52 q^{94} - 124 q^{96}+O(q^{100}) $ 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9 - 12 * q^10 - 32 * q^14 - 36 * q^16 + 18 * q^20 + 8 * q^21 - 28 * q^24 + 28 * q^26 - 6 * q^30 + 16 * q^34 + 24 * q^36 - 88 * q^40 - 72 * q^41 + 68 * q^45 + 64 * q^46 - 24 * q^49 - 34 * q^50 + 80 * q^54 + 96 * q^56 - 48 * q^60 - 8 * q^61 + 40 * q^66 - 24 * q^69 - 80 * q^70 - 24 * q^74 - 28 * q^76 - 92 * q^80 - 8 * q^81 + 84 * q^84 + 20 * q^85 - 52 * q^86 - 104 * q^89 - 52 * q^94 - 124 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	−0.691873	−	1.23341i	−0.489228	−	0.872156i
$2$	−0.691873	−	1.23341i	−0.489228	−	0.872156i
$3$	−0.267386	+	0.463127i	−0.154376	+	0.267386i	−0.932832	−	0.360313i	$-0.882670\pi$
$3$	−0.267386	+	0.463127i	−0.154376	+	0.267386i	0.778456	+	0.627699i	$0.216003\pi$
$4$	−1.04262	+	1.70673i	−0.521312	+	0.853366i
$5$	−1.00857	−	1.99569i	−0.451046	−	0.892501i
$5$	−1.00857	−	1.99569i	−0.451046	−	0.892501i
$6$	0.756225	+	0.00937347i	0.308728	+	0.00382670i
$7$	−1.03041	+	3.84553i	−0.389457	+	1.45347i	0.441562	+	0.897231i	$0.354425\pi$
$7$	−1.03041	+	3.84553i	−0.389457	+	1.45347i	−0.831019	+	0.556244i	$0.812242\pi$
$8$	2.82647	+	0.105146i	0.999309	+	0.0371748i
$9$	1.35701	+	2.35041i	0.452336	+	0.783470i
$10$	−1.76371	+	2.62475i	−0.557735	+	0.830019i
$11$	0.531930	+	1.98519i	0.160383	+	0.598557i	0.998584	+	0.0531958i	$0.0169407\pi$
$11$	0.531930	+	1.98519i	0.160383	+	0.598557i	−0.838201	+	0.545361i	$0.816393\pi$
$12$	−0.511650	−	0.939224i	−0.147701	−	0.271131i
$13$	−0.592397	−	3.55655i	−0.164301	−	0.986410i
$13$	−0.592397	−	3.55655i	−0.164301	−	0.986410i
$14$	5.45605	−	1.38970i	1.45819	−	0.371413i
$15$	1.19394	+	0.0665249i	0.308273	+	0.0171767i
$16$	−1.82587	−	3.55896i	−0.456468	−	0.889740i
$17$	3.30468	+	5.72388i	0.801504	+	1.38824i	0.918626	+	0.395127i	$0.129300\pi$
$17$	3.30468	+	5.72388i	0.801504	+	1.38824i	−0.117123	+	0.993117i	$0.537367\pi$
$18$	1.96015	−	3.29994i	0.462012	−	0.777803i
$19$	−0.655404	+	2.44600i	−0.150360	+	0.561151i	0.849098	+	0.528235i	$0.177146\pi$
$19$	−0.655404	+	2.44600i	−0.150360	+	0.561151i	−0.999458	+	0.0329162i	$0.989521\pi$
$20$	4.45767	+	0.359397i	0.996766	+	0.0803636i
$21$	−1.50545	−	1.50545i	−0.328517	−	0.328517i
$22$	2.08053	−	2.02959i	0.443571	−	0.432710i
$23$	5.46431	+	3.15482i	1.13939	+	0.657825i	0.946279	−	0.323352i	$-0.104810\pi$
$23$	5.46431	+	3.15482i	1.13939	+	0.657825i	0.193108	+	0.981178i	$0.438143\pi$
$24$	−0.804456	+	1.28090i	−0.164209	+	0.261463i
$25$	−2.96557	+	4.02559i	−0.593114	+	0.805118i
$26$	−3.97684	+	3.19135i	−0.779923	+	0.625876i
$27$	−3.05570			−0.588070
$28$	−5.48897	−	5.76807i	−1.03732	−	1.09006i
$29$	1.10679	−	1.91702i	0.205526	−	0.355982i	−0.744774	−	0.667317i	$-0.767443\pi$
$29$	1.10679	−	1.91702i	0.205526	−	0.355982i	0.950300	+	0.311335i	$0.100776\pi$
$30$	−0.743999	−	1.51865i	−0.135835	−	0.277266i
$31$	−1.45593	−	1.45593i	−0.261493	−	0.261493i	0.564168	−	0.825660i	$-0.309197\pi$
$31$	−1.45593	−	1.45593i	−0.261493	−	0.261493i	−0.825660	+	0.564168i	$0.809197\pi$
$32$	−3.12640	+	4.71440i	−0.552675	+	0.833397i
$33$	−1.06162	−	0.284462i	−0.184805	−	0.0495184i
$34$	4.77350	−	8.03624i	0.818648	−	1.37820i
$35$	8.71374	−	1.82211i	1.47289	−	0.307994i
$36$	−5.42637	−	0.134541i	−0.904395	−	0.0224235i
$37$	0.462192	+	1.72492i	0.0759839	+	0.283576i	0.993455	−	0.114228i	$-0.0364393\pi$
$37$	0.462192	+	1.72492i	0.0759839	+	0.283576i	−0.917471	+	0.397803i	$0.869773\pi$
$38$	3.47039	−	0.883937i	0.562972	−	0.143394i
$39$	1.80553	+	0.676619i	0.289117	+	0.108346i
$40$	−2.64086	−	5.74681i	−0.417556	−	0.908651i
$41$	−0.606961	−	2.26521i	−0.0947913	−	0.353766i	0.902196	−	0.431325i	$-0.141954\pi$
$41$	−0.606961	−	2.26521i	−0.0947913	−	0.353766i	−0.996988	+	0.0775594i	$0.975287\pi$
$42$	−0.815266	+	2.89843i	−0.125798	+	0.447237i
$43$	−3.33357	+	1.92464i	−0.508365	+	0.293504i	−0.732161	−	0.681131i	$-0.761488\pi$
$43$	−3.33357	+	1.92464i	−0.508365	+	0.293504i	0.223797	+	0.974636i	$0.428155\pi$
$44$	−3.94279	−	1.16194i	−0.594398	−	0.175170i
$45$	3.32205	−	5.07872i	0.495222	−	0.757091i
$46$	0.110595	−	8.92249i	0.0163063	−	1.31555i
$47$	−1.84265	−	1.84265i	−0.268778	−	0.268778i	0.559829	−	0.828608i	$-0.310867\pi$
$47$	−1.84265	−	1.84265i	−0.268778	−	0.268778i	−0.828608	+	0.559829i	$0.810867\pi$
$48$	2.13646	+	0.106008i	0.308372	+	0.0153009i
$49$	−7.66421	−	4.42493i	−1.09489	−	0.632133i
$50$	7.01702	+	0.872584i	0.992357	+	0.123402i
$51$	−3.53451			−0.494931
$52$	6.68773	+	2.69708i	0.927421	+	0.374018i
$53$			7.09984i			0.975238i	0.873057	+	0.487619i	$0.162134\pi$
$53$			7.09984i			0.975238i	−0.873057	+	0.487619i	$0.837866\pi$
$54$	2.11416	+	3.76895i	0.287700	+	0.512889i
$55$	3.42534	−	3.06377i	0.461872	−	0.413119i
$56$	−3.31676	+	10.7609i	−0.443221	+	1.43799i
$57$	−0.957563	−	0.957563i	−0.126832	−	0.126832i
$58$	−3.13024	−	0.0387996i	−0.411021	−	0.00509463i
$59$	−11.3182	−	3.03269i	−1.47350	−	0.394823i	−0.569369	−	0.822082i	$-0.692813\pi$
$59$	−11.3182	−	3.03269i	−1.47350	−	0.394823i	−0.904129	+	0.427259i	$0.859479\pi$
$60$	−1.35837	+	1.96837i	−0.175364	+	0.254115i
$61$	−1.29491	−	2.24285i	−0.165796	−	0.287167i	0.771142	−	0.636664i	$-0.219686\pi$
$61$	−1.29491	−	2.24285i	−0.165796	−	0.287167i	−0.936938	+	0.349496i	$0.886353\pi$
$62$	−0.788447	+	2.80308i	−0.100133	+	0.355992i
$63$	−10.4368	+	2.79654i	−1.31492	+	0.352331i
$64$	7.97789	+	0.594385i	0.997236	+	0.0742982i
$65$	−6.50031	+	4.76928i	−0.806264	+	0.591556i
$66$	0.383650	+	1.50623i	0.0472241	+	0.185405i
$67$	1.14361	+	4.26801i	0.139714	+	0.521421i	0.999934	+	0.0114972i	$0.00365975\pi$
$67$	1.14361	+	4.26801i	0.139714	+	0.521421i	−0.860220	+	0.509924i	$0.829674\pi$
$68$	−13.2147	−	0.327644i	−1.60251	−	0.0397327i
$69$	−2.92216	+	1.68711i	−0.351787	+	0.203104i
$70$	−8.27622	−	9.48698i	−0.989198	−	1.13391i
$71$	3.53903	−	13.2078i	0.420006	−	1.56748i	−0.354587	−	0.935023i	$-0.615378\pi$
$71$	3.53903	−	13.2078i	0.420006	−	1.56748i	0.774593	−	0.632460i	$-0.217955\pi$
$72$	3.58841	+	6.78605i	0.422898	+	0.799743i
$73$	2.37496	−	2.37496i	0.277968	−	0.277968i	−0.554329	−	0.832297i	$-0.687025\pi$
$73$	2.37496	−	2.37496i	0.277968	−	0.277968i	0.832297	+	0.554329i	$0.187025\pi$
$74$	1.80777	−	1.76350i	0.210149	−	0.205003i
$75$	−1.07141	−	2.44982i	−0.123715	−	0.282881i
$76$	−3.49133	−	3.66886i	−0.400483	−	0.420847i
$77$	−8.18221			−0.932449
$78$	−0.414648	−	2.69511i	−0.0469497	−	0.305161i
$79$			15.1372i			1.70307i	0.524299	+	0.851534i	$0.324328\pi$
$79$			15.1372i			1.70307i	−0.524299	+	0.851534i	$0.675672\pi$
$80$	−5.26107	+	7.23334i	−0.588205	+	0.808712i
$81$	−3.25397	+	5.63605i	−0.361553	+	0.626228i
$82$	−2.37400	+	2.31587i	−0.262165	+	0.255745i
$83$	9.02147	−	9.02147i	0.990235	−	0.990235i	−0.00971824	−	0.999953i	$-0.503093\pi$
$83$	9.02147	−	9.02147i	0.990235	−	0.990235i	0.999953	+	0.00971824i	$0.00309346\pi$
$84$	4.13903	−	0.999784i	0.451605	−	0.109085i
$85$	8.09010	−	12.3681i	0.877494	−	1.34151i
$86$	4.68028	+	2.78007i	0.504688	+	0.299783i
$87$	0.591882	+	1.02517i	0.0634564	+	0.109910i
$88$	1.29475	+	5.66701i	0.138021	+	0.604105i
$89$	−0.227842	+	0.0610500i	−0.0241512	+	0.00647129i	−0.270874	−	0.962615i	$-0.587313\pi$
$89$	−0.227842	+	0.0610500i	−0.0241512	+	0.00647129i	0.246723	+	0.969086i	$0.420646\pi$
$90$	−8.56261	−	0.583637i	−0.902578	−	0.0615208i
$91$	14.2873	+	1.38662i	1.49771	+	0.145357i
$92$	−11.0816	+	6.03682i	−1.15534	+	0.629382i
$93$	1.06358	−	0.284984i	0.110288	−	0.0295515i
$94$	−0.997873	+	3.54763i	−0.102923	+	0.365911i
$95$	5.54249	−	1.15898i	0.568647	−	0.118909i
$96$	−1.34741	−	2.70849i	−0.137519	−	0.276434i
$97$	−1.56859	+	5.85405i	−0.159266	+	0.594389i	0.839436	+	0.543458i	$0.182885\pi$
$97$	−1.56859	+	5.85405i	−0.159266	+	0.594389i	−0.998702	+	0.0509306i	$0.983781\pi$
$98$	−0.155120	+	12.5146i	−0.0156695	+	1.26417i
$99$	−3.94417	+	3.94417i	−0.396404	+	0.396404i
$100$	−3.77863	−	9.25862i	−0.377863	−	0.925862i
$101$	12.3939	+	7.15561i	1.23324	+	0.712010i	0.967704	−	0.252091i	$-0.0811182\pi$
$101$	12.3939	+	7.15561i	1.23324	+	0.712010i	0.265535	+	0.964101i	$0.414452\pi$
$102$	2.44543	+	4.35952i	0.242134	+	0.431657i
$103$		−	15.5323i		−	1.53045i	−0.643765	−	0.765223i	$-0.722629\pi$
$103$		−	15.5323i		−	1.53045i	0.643765	−	0.765223i	$-0.277371\pi$
$104$	−1.30044	−	10.1148i	−0.127518	−	0.991836i
$105$	−1.48607	+	4.52277i	−0.145025	+	0.441378i
$106$	8.75704	−	4.91218i	0.850559	−	0.477114i
$107$	6.63031	−	11.4840i	0.640976	−	1.11020i	−0.344239	−	0.938882i	$-0.611863\pi$
$107$	6.63031	−	11.4840i	0.640976	−	1.11020i	0.985215	−	0.171321i	$-0.0548036\pi$
$108$	3.18595	−	5.21527i	0.306568	−	0.501839i
$109$	6.03794	−	6.03794i	0.578330	−	0.578330i	−0.356113	−	0.934443i	$-0.615898\pi$
$109$	6.03794	−	6.03794i	0.578330	−	0.578330i	0.934443	+	0.356113i	$0.115898\pi$
$110$	−6.14879	−	2.10512i	−0.586265	−	0.200715i
$111$	−0.922443	−	0.247168i	−0.0875544	−	0.0234601i
$112$	15.5675	−	3.35427i	1.47099	−	0.316948i
$113$	11.6841	−	6.74580i	1.09915	−	0.634592i	0.163149	−	0.986601i	$-0.447835\pi$
$113$	11.6841	−	6.74580i	1.09915	−	0.634592i	0.935996	+	0.352010i	$0.114502\pi$
$114$	−0.518561	+	1.84358i	−0.0485677	+	0.172668i
$115$	0.784909	−	14.0869i	0.0731932	−	1.31361i
$116$	2.11787	+	3.88773i	0.196639	+	0.360966i
$117$	7.55546	−	6.21865i	0.698503	−	0.574914i
$118$	4.09016	+	16.0582i	0.376530	+	1.47828i
$119$	−25.4165	+	6.81034i	−2.32993	+	0.624303i
$120$	3.36763	+	0.313569i	0.307421	+	0.0286248i
$121$	5.86826	−	3.38804i	0.533478	−	0.308004i
$122$	−1.87045	+	3.14893i	−0.169343	+	0.285090i
$123$	1.21137	+	0.324586i	0.109226	+	0.0292669i
$124$	4.00287	−	0.966895i	0.359468	−	0.0868298i
$125$	11.0248	+	1.85828i	0.986090	+	0.166209i
$126$	10.6703	+	10.9381i	0.950583	+	0.974444i
$127$	−14.1862	−	8.19042i	−1.25882	−	0.726782i	−0.285977	−	0.958236i	$-0.592318\pi$
$127$	−14.1862	−	8.19042i	−1.25882	−	0.726782i	−0.972846	+	0.231454i	$0.925652\pi$
$128$	−4.78656	−	10.2513i	−0.423076	−	0.906094i
$129$		−	2.05849i		−	0.181240i
$130$	10.3799	+	4.71785i	0.910376	+	0.413782i
$131$			9.17870i			0.801947i	0.916090	+	0.400973i	$0.131328\pi$
$131$			9.17870i			0.801947i	−0.916090	+	0.400973i	$0.868672\pi$
$132$	1.59238	−	1.51532i	0.138598	−	0.131892i
$133$	−8.73085	−	5.04076i	−0.757061	−	0.437089i
$134$	4.47300	−	4.36347i	0.386408	−	0.376946i
$135$	3.08189	+	6.09824i	0.265247	+	0.524853i
$136$	8.73875	+	16.5259i	0.749342	+	1.41708i
$137$	13.6051	+	3.64546i	1.16236	+	0.311453i	0.787907	−	0.615794i	$-0.211165\pi$
$137$	13.6051	+	3.64546i	1.16236	+	0.311453i	0.374451	+	0.927247i	$0.377831\pi$
$138$	4.10267	+	2.43697i	0.349243	+	0.207449i
$139$	−2.32177	+	1.34047i	−0.196930	+	0.113697i	−0.595223	−	0.803561i	$-0.702936\pi$
$139$	−2.32177	+	1.34047i	−0.196930	+	0.113697i	0.398293	+	0.917258i	$0.369603\pi$
$140$	−5.97529	+	16.7718i	−0.505004	+	1.41748i
$141$	1.34608	−	0.360681i	0.113361	−	0.0303749i
$142$	−18.7393	+	4.77306i	−1.57257	+	0.400546i
$143$	6.74531	−	3.06786i	0.564071	−	0.256547i
$144$	5.88729	−	9.12108i	0.490607	−	0.760090i
$145$	−4.94206	−	0.275366i	−0.410416	−	0.0228679i
$146$	−4.57248	−	1.28614i	−0.378421	−	0.106442i
$147$	4.09861	−	2.36633i	0.338048	−	0.195172i
$148$	−3.42588	−	1.00961i	−0.281605	−	0.0829894i
$149$	8.92438	+	2.39128i	0.731114	+	0.195901i	0.605125	−	0.796130i	$-0.293123\pi$
$149$	8.92438	+	2.39128i	0.731114	+	0.195901i	0.125989	+	0.992032i	$0.459790\pi$
$150$	−2.28037	+	3.01645i	−0.186192	+	0.246292i
$151$	5.10169	−	5.10169i	0.415170	−	0.415170i	−0.468365	−	0.883535i	$-0.655157\pi$
$151$	5.10169	−	5.10169i	0.415170	−	0.415170i	0.883535	+	0.468365i	$0.155157\pi$
$152$	−2.10967	+	6.84464i	−0.171117	+	0.555174i
$153$	−8.96897	+	15.5347i	−0.725098	+	1.25591i
$154$	5.66105	+	10.0921i	0.456180	+	0.813241i
$155$	−1.43718	+	4.37400i	−0.115437	+	0.351328i
$156$	−3.03730	+	2.37610i	−0.243179	+	0.190241i
$157$			2.68276i			0.214107i	0.994253	+	0.107054i	$0.0341416\pi$
$157$			2.68276i			0.214107i	−0.994253	+	0.107054i	$0.965858\pi$
$158$	18.6705	−	10.4730i	1.48534	−	0.833189i
$159$	−3.28813	−	1.89840i	−0.260765	−	0.150553i
$160$	12.5617	+	1.48453i	0.993089	+	0.117363i
$161$	−17.7624	+	17.7624i	−1.39987	+	1.39987i
$162$	9.20292	+	0.114071i	0.723050	+	0.00896226i
$163$	−3.64088	+	13.5879i	−0.285175	+	1.06429i	0.663536	+	0.748145i	$0.269055\pi$
$163$	−3.64088	+	13.5879i	−0.285175	+	1.06429i	−0.948711	+	0.316144i	$0.897612\pi$
$164$	4.49894	+	1.32584i	0.351308	+	0.103531i
$165$	0.503026	+	2.40558i	0.0391605	+	0.187274i
$166$	−17.3689	−	4.88550i	−1.34809	−	0.379189i
$167$	11.3095	−	3.03037i	0.875154	−	0.234497i	0.206839	−	0.978375i	$-0.433682\pi$
$167$	11.3095	−	3.03037i	0.875154	−	0.234497i	0.668315	+	0.743878i	$0.267016\pi$
$168$	−4.09683	−	4.41341i	−0.316077	−	0.340502i
$169$	−12.2981	+	4.21378i	−0.946010	+	0.324137i
$170$	−20.8523	−	1.42131i	−1.59930	−	0.109010i
$171$	−6.63850	+	1.77878i	−0.507658	+	0.136027i
$172$	0.190819	−	7.69618i	0.0145498	−	0.586829i
$173$	−2.54719	−	4.41187i	−0.193660	−	0.335428i	0.752801	−	0.658249i	$-0.228702\pi$
$173$	−2.54719	−	4.41187i	−0.193660	−	0.335428i	−0.946460	+	0.322820i	$0.895369\pi$
$174$	0.854953	−	1.43932i	0.0648138	−	0.109115i
$175$	−12.4248	−	15.5522i	−0.939226	−	1.17564i
$176$	6.09397	−	5.51781i	0.459350	−	0.415921i
$177$	4.43084	−	4.43084i	0.333043	−	0.333043i
$178$	0.232937	+	0.238784i	0.0174594	+	0.0178977i
$179$	3.82813	−	6.63052i	0.286128	−	0.495588i	−0.686754	−	0.726890i	$-0.740965\pi$
$179$	3.82813	−	6.63052i	0.286128	−	0.495588i	0.972882	+	0.231302i	$0.0742984\pi$
$180$	5.20437	+	10.9651i	0.387911	+	0.817287i
$181$		−	6.48742i		−	0.482206i	−0.970500	−	0.241103i	$-0.922491\pi$
$181$		−	6.48742i		−	0.482206i	0.970500	−	0.241103i	$-0.0775091\pi$
$182$	−8.17469	−	18.5815i	−0.605948	−	1.37735i
$183$	1.38496			0.102380
$184$	15.1130	+	9.49156i	1.11414	+	0.699727i
$185$	2.97626	−	2.66210i	0.218819	−	0.195722i
$186$	−1.08736	−	1.11466i	−0.0797294	−	0.0817307i
$187$	−9.60512	+	9.60512i	−0.702396	+	0.702396i
$188$	5.06611	−	1.22372i	0.369484	−	0.0892490i
$189$	3.14862	−	11.7508i	0.229028	−	0.854745i
$190$	−5.26420	−	6.03432i	−0.381905	−	0.437776i
$191$	−1.24269	+	0.717465i	−0.0899176	+	0.0519139i	−0.544285	−	0.838901i	$-0.683199\pi$
$191$	−1.24269	+	0.717465i	−0.0899176	+	0.0519139i	0.454367	+	0.890815i	$0.349865\pi$
$192$	−2.40846	+	3.53584i	−0.173815	+	0.255178i
$193$	−4.98909	−	18.6195i	−0.359122	−	1.34026i	−0.875217	−	0.483731i	$-0.839281\pi$
$193$	−4.98909	−	18.6195i	−0.359122	−	1.34026i	0.516094	−	0.856532i	$-0.327385\pi$
$194$	8.30574	−	2.11554i	0.596317	−	0.151887i
$195$	−0.470685	−	4.28571i	−0.0337065	−	0.306906i
$196$	15.5431	−	8.46721i	1.11022	−	0.604801i
$197$	−15.4280	+	4.13391i	−1.09920	+	0.294529i	−0.762438	−	0.647061i	$-0.775998\pi$
$197$	−15.4280	+	4.13391i	−1.09920	+	0.294529i	−0.336760	+	0.941591i	$0.609331\pi$
$198$	7.59366	+	2.13593i	0.539658	+	0.151794i
$199$	0.0658303	+	0.114021i	0.00466658	+	0.00808276i	0.868349	−	0.495953i	$-0.165181\pi$
$199$	0.0658303	+	0.114021i	0.00466658	+	0.00808276i	−0.863683	+	0.504036i	$0.831848\pi$
$200$	−8.80538	+	11.0664i	−0.622635	+	0.782513i
$201$	−2.28242	−	0.611572i	−0.160989	−	0.0431370i
$202$	0.250846	−	20.2376i	0.0176495	−	1.42391i
$203$	6.23152	+	6.23152i	0.437367	+	0.437367i
$204$	3.68517	−	6.03246i	0.258013	−	0.422357i
$205$	−3.90849	+	3.49593i	−0.272981	+	0.244166i
$206$	−19.1578	+	10.7464i	−1.33479	+	0.748737i
$207$			17.1245i			1.19023i
$208$	−11.5760	+	8.60212i	−0.802650	+	0.596450i
$209$	−5.20440			−0.359996
$210$	6.60663	−	1.29625i	0.455900	−	0.0894498i
$211$	18.1446	+	10.4758i	1.24913	+	0.721184i	0.970935	−	0.239341i	$-0.0769315\pi$
$211$	18.1446	+	10.4758i	1.24913	+	0.721184i	0.278192	+	0.960525i	$0.410265\pi$
$212$	−12.1175	−	7.40246i	−0.832235	−	0.508403i
$213$	5.17062	+	5.17062i	0.354285	+	0.354285i
$214$	−18.7519	−	0.232431i	−1.28185	−	0.0158887i
$215$	7.20312	+	4.71165i	0.491249	+	0.321332i
$216$	−8.63686	−	0.321295i	−0.587664	−	0.0218614i
$217$	7.09903	−	4.09863i	0.481914	−	0.278233i
$218$	−11.6248	−	3.26980i	−0.787329	−	0.221459i
$219$	0.464876	+	1.73494i	0.0314134	+	0.117236i
$220$	1.65770	+	9.04049i	0.111762	+	0.609510i
$221$	18.3996	−	15.1441i	1.23769	−	1.01870i
$222$	0.333353	+	1.30876i	0.0223732	+	0.0878384i
$223$	2.12605	+	7.93453i	0.142371	+	0.531336i	0.999858	+	0.0168307i	$0.00535763\pi$
$223$	2.12605	+	7.93453i	0.142371	+	0.531336i	−0.857487	+	0.514505i	$0.827976\pi$
$224$	−14.9079	−	16.8804i	−0.996078	−	1.12787i
$225$	−13.4861	−	1.50754i	−0.899073	−	0.100503i
$226$	−16.4043	−	9.74407i	−1.09120	−	0.648166i
$227$	−2.28173	−	0.611387i	−0.151443	−	0.0405792i	0.182301	−	0.983243i	$-0.441646\pi$
$227$	−2.28173	−	0.611387i	−0.151443	−	0.0405792i	−0.333744	+	0.942664i	$0.608312\pi$
$228$	2.63268	−	0.635926i	0.174354	−	0.0421152i
$229$	−1.77739	−	1.77739i	−0.117453	−	0.117453i	0.645937	−	0.763390i	$-0.276467\pi$
$229$	−1.77739	−	1.77739i	−0.117453	−	0.117453i	−0.763390	+	0.645937i	$0.776467\pi$
$230$	−17.9181	+	8.77824i	−1.18148	+	0.578820i
$231$	2.18781	−	3.78940i	0.143947	−	0.249324i
$232$	3.32988	−	5.30203i	0.218618	−	0.348095i
$233$	0.999265			0.0654641			0.0327320	−	0.999464i	$-0.489579\pi$
$233$	0.999265			0.0654641			0.0327320	+	0.999464i	$0.489579\pi$
$234$	−12.8976	−	5.01651i	−0.843142	−	0.327939i
$235$	−1.81892	+	5.53581i	−0.118653	+	0.361116i
$236$	16.9766	−	16.1551i	1.10508	−	1.05161i
$237$	−7.01045	−	4.04748i	−0.455378	−	0.262912i
$238$	25.9850	+	26.6372i	1.68436	+	1.72664i
$239$	16.9929	+	16.9929i	1.09918	+	1.09918i	0.994507	+	0.104670i	$0.0333787\pi$
$239$	16.9929	+	16.9929i	1.09918	+	1.09918i	0.104670	+	0.994507i	$0.466621\pi$
$240$	−1.94321	−	4.37064i	−0.125434	−	0.282124i
$241$	−5.73852	+	21.4164i	−0.369651	+	1.37955i	0.491355	+	0.870959i	$0.336502\pi$
$241$	−5.73852	+	21.4164i	−0.369651	+	1.37955i	−0.861006	+	0.508595i	$0.830165\pi$
$242$	−8.23894	−	4.89390i	−0.529619	−	0.314592i
$243$	−6.32369	−	10.9530i	−0.405665	−	0.702632i
$244$	5.17805	+	0.128384i	0.331490	+	0.00821897i
$245$	−1.10091	+	19.7583i	−0.0703346	+	1.26231i
$246$	−0.437766	−	1.71870i	−0.0279109	−	0.109580i
$247$	9.08760	+	0.881975i	0.578230	+	0.0561188i
$248$	−3.96206	−	4.26823i	−0.251591	−	0.271033i
$249$	1.76587	+	6.59030i	0.111907	+	0.417643i
$250$	−5.33575	−	14.8839i	−0.337463	−	0.941339i
$251$	−5.03880	−	8.72746i	−0.318046	−	0.550873i	0.662034	−	0.749474i	$-0.269693\pi$
$251$	−5.03880	−	8.72746i	−0.318046	−	0.550873i	−0.980080	+	0.198601i	$0.936360\pi$
$252$	6.10875	−	20.7286i	0.384815	−	1.30578i
$253$	−3.35628	+	12.5258i	−0.211008	+	0.787491i
$254$	−0.287122	+	23.1642i	−0.0180157	+	1.45345i
$255$	3.56480	+	7.05379i	0.223237	+	0.441726i
$256$	−9.33239	+	12.9964i	−0.583275	+	0.812275i
$257$	1.22169	−	2.11602i	0.0762067	−	0.131994i	−0.825404	−	0.564543i	$-0.809052\pi$
$257$	1.22169	−	2.11602i	0.0762067	−	0.131994i	0.901610	+	0.432549i	$0.142386\pi$
$258$	−2.53897	+	1.42421i	−0.158069	+	0.0886676i
$259$	−7.10950			−0.441763
$260$	−1.36250	−	16.0668i	−0.0844985	−	0.996424i
$261$	6.00771			0.371868
$262$	11.3211	−	6.35049i	0.699422	−	0.392335i
$263$	−8.94128	+	15.4867i	−0.551343	+	0.954954i	0.446835	+	0.894616i	$0.352551\pi$
$263$	−8.94128	+	15.4867i	−0.551343	+	0.954954i	−0.998178	+	0.0603375i	$0.980782\pi$
$264$	−2.97074	−	0.915648i	−0.182837	−	0.0563543i
$265$	14.1691	−	7.16068i	0.870400	−	0.439877i
$266$	−0.176708	+	14.2563i	−0.0108347	+	0.874111i
$267$	0.0326479	−	0.121844i	0.00199802	−	0.00745670i
$268$	−8.47672	−	2.49810i	−0.517798	−	0.152596i
$269$	−7.99967	−	13.8558i	−0.487749	−	0.844805i	0.512152	−	0.858895i	$-0.328848\pi$
$269$	−7.99967	−	13.8558i	−0.487749	−	0.844805i	−0.999901	+	0.0140894i	$0.995515\pi$
$270$	5.38938	−	8.02045i	0.327987	−	0.488109i
$271$	−7.54222	−	28.1480i	−0.458157	−	1.70987i	−0.678636	−	0.734475i	$-0.737429\pi$
$271$	−7.54222	−	28.1480i	−0.458157	−	1.70987i	0.220478	−	0.975392i	$-0.429238\pi$
$272$	14.3371	−	22.2123i	0.869317	−	1.34682i
$273$	−4.46240	+	6.24605i	−0.270077	+	0.378028i
$274$	−4.91660	−	19.3029i	−0.297023	−	1.16613i
$275$	−9.56903	−	3.74589i	−0.577034	−	0.225886i
$276$	0.167269	−	6.74637i	0.0100684	−	0.406084i
$277$	−6.93503	−	12.0118i	−0.416685	−	0.721720i	0.578918	−	0.815386i	$-0.303475\pi$
$277$	−6.93503	−	12.0118i	−0.416685	−	0.721720i	−0.995604	+	0.0936653i	$0.970142\pi$
$278$	3.25973	+	1.93627i	0.195505	+	0.116129i
$279$	1.44632	−	5.39774i	0.0865889	−	0.323154i
$280$	24.8207	−	4.23394i	1.48332	−	0.253026i
$281$	−20.2958	−	20.2958i	−1.21075	−	1.21075i	−0.970781	−	0.239967i	$-0.922864\pi$
$281$	−20.2958	−	20.2958i	−1.21075	−	1.21075i	−0.239967	−	0.970781i	$-0.577136\pi$
$282$	−1.37619	−	1.41073i	−0.0819507	−	0.0840078i
$283$	−9.54081	−	5.50839i	−0.567143	−	0.327440i	0.188865	−	0.982003i	$-0.439519\pi$
$283$	−9.54081	−	5.50839i	−0.567143	−	0.327440i	−0.756007	+	0.654563i	$0.772853\pi$
$284$	18.8524	+	19.8110i	1.11868	+	1.17557i
$285$	−0.945232	+	2.87677i	−0.0559907	+	0.170405i
$286$	−8.45084	−	6.19720i	−0.499708	−	0.366448i
$287$	9.33635			0.551107
$288$	−15.3233	−	0.950839i	−0.902936	−	0.0560287i
$289$	−13.3419	+	23.1088i	−0.784816	+	1.35934i
$290$	3.07963	+	6.28613i	0.180842	+	0.369134i
$291$	−2.29175	−	2.29175i	−0.134345	−	0.134345i
$292$	1.57723	+	6.52961i	0.0923004	+	0.382117i
$293$	13.7685	+	3.68926i	0.804366	+	0.215529i	0.637500	−	0.770451i	$-0.279969\pi$
$293$	13.7685	+	3.68926i	0.804366	+	0.215529i	0.166866	+	0.985980i	$0.446635\pi$
$294$	−5.75439	−	3.41808i	−0.335603	−	0.199347i
$295$	5.36284	+	25.6462i	0.312237	+	1.49318i
$296$	1.12500	+	4.92405i	0.0653895	+	0.286205i
$297$	−1.62542	−	6.06614i	−0.0943163	−	0.351993i
$298$	−3.22510	−	12.6619i	−0.186825	−	0.733486i
$299$	7.98324	−	21.3030i	0.461683	−	1.23198i
$300$	5.29827	+	0.725643i	0.305896	+	0.0418950i
$301$	−3.96632	−	14.8025i	−0.228615	−	0.853203i
$302$	−9.82222	−	2.76278i	−0.565205	−	0.158980i
$303$	−6.62792	+	3.82663i	−0.380764	+	0.219834i
$304$	9.90191	−	2.13353i	0.567913	−	0.122366i
$305$	−3.17003	+	4.84631i	−0.181515	+	0.277499i
$306$	25.3661	+	0.314415i	1.45009	+	0.0179739i
$307$	10.8442	+	10.8442i	0.618911	+	0.618911i	0.945252	−	0.326341i	$-0.105816\pi$
$307$	10.8442	+	10.8442i	0.618911	+	0.618911i	−0.326341	+	0.945252i	$0.605816\pi$
$308$	8.53097	−	13.9648i	0.486097	−	0.795721i
$309$	7.19344	+	4.15314i	0.409221	+	0.236264i
$310$	6.38930	−	1.25361i	0.362888	−	0.0712002i
$311$	3.42661			0.194305			0.0971526	−	0.995270i	$-0.469027\pi$
$311$	3.42661			0.194305			0.0971526	+	0.995270i	$0.469027\pi$
$312$	5.03215	+	2.10229i	0.284889	+	0.119019i
$313$			13.5465i			0.765693i	0.923812	+	0.382846i	$0.125056\pi$
$313$			13.5465i			0.765693i	−0.923812	+	0.382846i	$0.874944\pi$
$314$	3.30895	−	1.85613i	0.186735	−	0.104747i
$315$	16.1073	+	18.0082i	0.907545	+	1.01465i
$316$	−25.8352	−	15.7824i	−1.45334	−	0.887830i
$317$	−18.7046	−	18.7046i	−1.05056	−	1.05056i	−0.998652	−	0.0519047i	$-0.983471\pi$
$317$	−18.7046	−	18.7046i	−1.05056	−	1.05056i	−0.0519047	−	0.998652i	$-0.516529\pi$
$318$	−0.0665501	+	5.36907i	−0.00373195	+	0.301083i
$319$	4.39438	+	1.17747i	0.246038	+	0.0659257i
$320$	−6.86005	−	16.5209i	−0.383489	−	0.923546i
$321$	3.54571	+	6.14135i	0.197902	+	0.342777i
$322$	34.1978	+	9.61910i	1.90577	+	0.536051i
$323$	−16.1665	+	4.33181i	−0.899530	+	0.241028i
$324$	−6.22655	−	11.4299i	−0.345920	−	0.634997i
$325$	16.0740	+	8.16246i	0.891626	+	0.452772i
$326$	19.2786	−	4.91041i	1.06774	−	0.271963i
$327$	1.18187	+	4.41080i	0.0653575	+	0.243918i
$328$	−1.47738	−	6.46637i	−0.0815746	−	0.357045i
$329$	8.98466	−	5.18730i	0.495340	−	0.285985i
$330$	2.61904	−	2.28479i	0.144174	−	0.125774i
$331$	−4.24664	+	15.8487i	−0.233416	+	0.871122i	0.745440	+	0.666573i	$0.232240\pi$
$331$	−4.24664	+	15.8487i	−0.233416	+	0.871122i	−0.978856	+	0.204549i	$0.934427\pi$
$332$	5.99123	+	24.8032i	0.328811	+	1.36125i
$333$	−3.42708	+	3.42708i	−0.187803	+	0.187803i
$334$	−11.5624	−	11.8527i	−0.632667	−	0.648548i
$335$	7.36423	−	6.58689i	0.402351	−	0.359880i
$336$	−2.60908	+	8.10661i	−0.142337	+	0.442252i
$337$	1.73129			0.0943096			0.0471548	−	0.998888i	$-0.484985\pi$
$337$	1.73129			0.0943096			0.0471548	+	0.998888i	$0.484985\pi$
$338$	13.7061	+	12.2533i	0.745513	+	0.666491i
$339$			7.21495i			0.391862i
$340$	12.6741	+	26.7029i	0.687347	+	1.44817i
$341$	2.11584	−	3.66475i	0.114579	−	0.198457i
$342$	6.78697	+	6.95733i	0.366997	+	0.376209i
$343$	5.20760	−	5.20760i	0.281184	−	0.281184i
$344$	−9.62461	+	5.08942i	−0.518924	+	0.274403i
$345$	6.31416	+	4.13017i	0.339943	+	0.222361i
$346$	−3.67933	+	6.19420i	−0.197802	+	0.333002i
$347$	−5.63496	−	9.76005i	−0.302501	−	0.523947i	0.674201	−	0.738548i	$-0.264488\pi$
$347$	−5.63496	−	9.76005i	−0.302501	−	0.523947i	−0.976702	+	0.214601i	$0.931155\pi$
$348$	−2.36680	−	0.0586824i	−0.126874	−	0.00314571i
$349$	18.5126	−	4.96044i	0.990957	−	0.265526i	0.273305	−	0.961928i	$-0.411883\pi$
$349$	18.5126	−	4.96044i	0.990957	−	0.265526i	0.717653	+	0.696401i	$0.245217\pi$
$350$	−10.5859	+	26.0851i	−0.565842	+	1.39431i
$351$	1.81019	+	10.8678i	0.0966207	+	0.580078i
$352$	−11.0220	−	3.69877i	−0.587475	−	0.197145i
$353$	−6.91381	+	1.85255i	−0.367985	+	0.0986012i	−0.438073	−	0.898940i	$-0.644339\pi$
$353$	−6.91381	+	1.85255i	−0.367985	+	0.0986012i	0.0700878	+	0.997541i	$0.477672\pi$
$354$	−8.53065	−	2.39949i	−0.453399	−	0.127531i
$355$	−29.9282	+	6.25823i	−1.58842	+	0.332152i
$356$	0.133357	−	0.452517i	0.00706792	−	0.0239834i
$357$	3.64199	−	13.5921i	0.192754	−	0.719369i
$358$	−10.8268	−	0.134199i	−0.572212	−	0.00709262i
$359$	5.91629	−	5.91629i	0.312250	−	0.312250i	−0.533531	−	0.845781i	$-0.679135\pi$
$359$	5.91629	−	5.91629i	0.312250	−	0.312250i	0.845781	+	0.533531i	$0.179135\pi$
$360$	9.92370	−	14.0056i	0.523025	−	0.738158i
$361$	10.9011	+	6.29376i	0.573743	+	0.331250i
$362$	−8.00167	+	4.48847i	−0.420559	+	0.235909i
$363$			3.62366i			0.190193i
$364$	−17.2628	+	22.9388i	−0.904817	+	1.20232i
$365$	−7.13500	−	2.34437i	−0.373463	−	0.122710i
$366$	−0.958220	−	1.70824i	−0.0500869	−	0.0892909i
$367$	11.4033	−	19.7511i	0.595246	−	1.03100i	−0.398266	−	0.917270i	$-0.630388\pi$
$367$	11.4033	−	19.7511i	0.595246	−	1.03100i	0.993512	−	0.113727i	$-0.0362788\pi$
$368$	1.25076	−	25.2075i	0.0652003	−	1.31403i
$369$	4.50051	−	4.50051i	0.234287	−	0.234287i
$370$	−5.34267	−	1.82913i	−0.277752	−	0.0950921i
$371$	−27.3027	−	7.31573i	−1.41748	−	0.379814i
$372$	−0.622518	+	2.11237i	−0.0322761	+	0.109521i
$373$	3.53828	−	2.04283i	0.183205	−	0.105774i	−0.405593	−	0.914054i	$-0.632935\pi$
$373$	3.53828	−	2.04283i	0.183205	−	0.105774i	0.588798	+	0.808280i	$0.299601\pi$
$374$	18.4926	+	5.20158i	0.956231	+	0.268967i
$375$	−3.80851	+	4.60902i	−0.196670	+	0.238009i
$376$	−5.01446	−	5.40195i	−0.258601	−	0.278584i
$377$	−7.47364	−	2.80073i	−0.384912	−	0.144245i
$378$	−16.6721	+	4.24651i	−0.857518	+	0.218417i
$379$	−8.58361	+	2.29997i	−0.440911	+	0.118142i	−0.472443	−	0.881361i	$-0.656628\pi$
$379$	−8.58361	+	2.29997i	−0.440911	+	0.118142i	0.0315327	+	0.999503i	$0.489961\pi$
$380$	−3.80066	+	10.6679i	−0.194970	+	0.547253i
$381$	7.58640	−	4.38001i	0.388663	−	0.224395i
$382$	1.74471	+	1.03635i	0.0892672	+	0.0530244i
$383$	15.7677	+	4.22494i	0.805692	+	0.215884i	0.638081	−	0.769969i	$-0.279728\pi$
$383$	15.7677	+	4.22494i	0.805692	+	0.215884i	0.167610	+	0.985853i	$0.446395\pi$
$384$	6.02751	+	0.524269i	0.307590	+	0.0267540i
$385$	8.25233	+	16.3292i	0.420578	+	0.832212i
$386$	−19.5138	+	19.0360i	−0.993226	+	0.968905i
$387$	−9.04737	−	5.22350i	−0.459904	−	0.265525i
$388$	−8.35585	−	8.78073i	−0.424204	−	0.445774i
$389$			26.9878i			1.36833i	0.729325	+	0.684167i	$0.239834\pi$
$389$			26.9878i			1.36833i	−0.729325	+	0.684167i	$0.760166\pi$
$390$	−4.96040	+	3.54571i	−0.251180	+	0.179544i
$391$			41.7027i			2.10900i
$392$	−21.1974	−	13.3128i	−1.07063	−	0.672398i
$393$	−4.25090	−	2.45426i	−0.214430	−	0.123801i
$394$	15.7730	+	16.1690i	0.794634	+	0.814580i
$395$	30.2092	−	15.2669i	1.51999	−	0.768163i
$396$	−2.61936	−	10.8439i	−0.131628	−	0.544928i
$397$	−16.1349	−	4.32334i	−0.809789	−	0.216982i	−0.169911	−	0.985459i	$-0.554348\pi$
$397$	−16.1349	−	4.32334i	−0.809789	−	0.216982i	−0.639877	+	0.768477i	$0.721015\pi$
$398$	0.0950894	−	0.160084i	0.00476640	−	0.00802430i
$399$	4.66902	−	2.69566i	0.233743	−	0.134952i
$400$	19.7417	+	3.20415i	0.987083	+	0.160207i
$401$	10.8354	−	2.90335i	0.541096	−	0.144986i	0.0220888	−	0.999756i	$-0.492968\pi$
$401$	10.8354	−	2.90335i	0.541096	−	0.144986i	0.519007	+	0.854770i	$0.326302\pi$
$402$	0.824821	+	3.23830i	0.0411383	+	0.161512i
$403$	−4.31560	+	6.04058i	−0.214976	+	0.300903i
$404$	−25.1349	+	13.6924i	−1.25051	+	0.681224i
$405$	14.5297	+	0.809579i	0.721985	+	0.0402283i
$406$	3.37463	−	11.9975i	0.167480	−	0.595424i
$407$	−3.17845	+	1.83508i	−0.157550	+	0.0909614i
$408$	−9.99020	−	0.371640i	−0.494588	−	0.0183989i
$409$	10.3350	+	2.76924i	0.511031	+	0.136930i	0.505115	−	0.863052i	$-0.331450\pi$
$409$	10.3350	+	2.76924i	0.511031	+	0.136930i	0.00591606	+	0.999982i	$0.498117\pi$
$410$	7.01611	+	2.40206i	0.346501	+	0.118629i
$411$	−5.32612	+	5.32612i	−0.262718	+	0.262718i
$412$	26.5095	+	16.1944i	1.30603	+	0.797840i
$413$	23.3246	−	40.3994i	1.14773	−	1.98793i
$414$	21.1216	−	11.8480i	1.03807	−	0.582295i
$415$	−27.1028	−	8.90528i	−1.33043	−	0.437143i
$416$	18.6191	+	8.32642i	0.912876	+	0.408236i
$417$		−	1.43370i		−	0.0702085i
$418$	3.60079	+	6.41919i	0.176120	+	0.313973i
$419$	32.0299	+	18.4925i	1.56476	+	0.903416i	0.996764	+	0.0803859i	$0.0256153\pi$
$419$	32.0299	+	18.4925i	1.56476	+	0.903416i	0.567998	+	0.823030i	$0.307718\pi$
$420$	−6.16976	−	7.25187i	−0.301053	−	0.353855i
$421$	−22.3647	+	22.3647i	−1.08999	+	1.08999i	−0.0944602	+	0.995529i	$0.530113\pi$
$421$	−22.3647	+	22.3647i	−1.08999	+	1.08999i	−0.995529	+	0.0944602i	$0.969887\pi$
$422$	0.367239	−	29.6278i	0.0178769	−	1.44226i
$423$	1.83049	−	6.83148i	0.0890014	−	0.332158i
$424$	−0.746521	+	20.0675i	−0.0362542	+	0.974564i
$425$	−32.8423	−	3.67128i	−1.59308	−	0.178083i
$426$	2.80011	−	9.95493i	0.135666	−	0.482318i
$427$	9.95923	−	2.66857i	0.481961	−	0.129141i
$428$	12.6872	+	23.2897i	0.613261	+	1.12575i
$429$	−0.382799	+	3.94424i	−0.0184817	+	0.190430i
$430$	0.827769	−	12.1443i	0.0399186	−	0.585650i
$431$	−23.6235	+	6.32990i	−1.13790	+	0.304900i	−0.778108	−	0.628131i	$-0.783820\pi$
$431$	−23.6235	+	6.32990i	−1.13790	+	0.304900i	−0.359796	+	0.933031i	$0.617154\pi$
$432$	5.57932	+	10.8751i	0.268435	+	0.523230i
$433$	19.6299	+	34.0000i	0.943354	+	1.63394i	0.759014	+	0.651075i	$0.225682\pi$
$433$	19.6299	+	34.0000i	0.943354	+	1.63394i	0.184341	+	0.982862i	$0.440985\pi$
$434$	−9.96693	−	5.92032i	−0.478428	−	0.284184i
$435$	1.44897	−	2.21517i	0.0694727	−	0.106209i
$436$	4.00985	+	16.6004i	0.192037	+	0.795017i
$437$	−11.2980	+	11.2980i	−0.540458	+	0.540458i
$438$	1.81827	−	1.77374i	0.0868801	−	0.0847527i
$439$	14.5313	−	25.1689i	0.693540	−	1.20125i	−0.277130	−	0.960832i	$-0.589383\pi$
$439$	14.5313	−	25.1689i	0.693540	−	1.20125i	0.970670	−	0.240415i	$-0.0772834\pi$
$440$	10.0038	−	8.29950i	0.476910	−	0.395663i
$441$		−	24.0187i		−	1.14375i
$442$	−31.4091	−	12.2165i	−1.49398	−	0.581082i
$443$	27.2284			1.29366			0.646829	−	0.762635i	$-0.276095\pi$
$443$	27.2284			1.29366			0.646829	+	0.762635i	$0.276095\pi$
$444$	1.38361	−	1.31666i	0.0656632	−	0.0624859i
$445$	0.351631	+	0.393129i	0.0166689	+	0.0186361i
$446$	8.31561	−	8.11199i	0.393756	−	0.384114i
$447$	−3.49373	+	3.49373i	−0.165248	+	0.165248i
$448$	−10.5062	+	30.0668i	−0.496371	+	1.42052i
$449$	0.0977341	−	0.364749i	0.00461236	−	0.0172136i	−0.963581	−	0.267416i	$-0.913830\pi$
$449$	0.0977341	−	0.364749i	0.00461236	−	0.0172136i	0.968194	+	0.250202i	$0.0804970\pi$
$450$	7.47123	+	17.6770i	0.352197	+	0.833300i
$451$	4.17400	−	2.40986i	0.196546	−	0.113476i
$452$	−0.668816	+	26.9749i	−0.0314584	+	1.26879i
$453$	0.998608	+	3.72685i	0.0469187	+	0.175103i
$454$	0.824571	+	3.23732i	0.0386990	+	0.151935i
$455$	−11.6424	−	29.9114i	−0.545806	−	1.40227i
$456$	−2.60584	−	2.80721i	−0.122030	−	0.131460i
$457$	25.3740	−	6.79893i	1.18694	−	0.318041i	0.389266	−	0.921125i	$-0.372729\pi$
$457$	25.3740	−	6.79893i	1.18694	−	0.318041i	0.797677	+	0.603085i	$0.206062\pi$
$458$	−0.962531	+	3.42198i	−0.0449761	+	0.159899i
$459$	−10.0981	−	17.4905i	−0.471340	−	0.816385i
$460$	23.2242	+	16.0270i	1.08284	+	0.747263i
$461$	−14.7716	−	3.95803i	−0.687981	−	0.184344i	−0.102140	−	0.994770i	$-0.532569\pi$
$461$	−14.7716	−	3.95803i	−0.687981	−	0.184344i	−0.585841	+	0.810426i	$0.699236\pi$
$462$	−6.18759	−	0.0766957i	−0.287873	−	0.00356821i
$463$	−1.07668	−	1.07668i	−0.0500377	−	0.0500377i	0.681645	−	0.731683i	$-0.261265\pi$
$463$	−1.07668	−	1.07668i	−0.0500377	−	0.0500377i	−0.731683	+	0.681645i	$0.761265\pi$
$464$	−8.84345	−	0.438798i	−0.410547	−	0.0203707i
$465$	−1.64143	−	1.83514i	−0.0761196	−	0.0851028i
$466$	−0.691365	−	1.23251i	−0.0320268	−	0.0570949i
$467$		−	4.38743i		−	0.203026i	−0.994834	−	0.101513i	$-0.967632\pi$
$467$		−	4.38743i		−	0.203026i	0.994834	−	0.101513i	$-0.0323683\pi$
$468$	2.73606	+	19.3789i	0.126475	+	0.895788i
$469$	−17.5912			−0.812285
$470$	8.08641	−	1.58659i	0.372998	−	0.0731840i
$471$	−1.24246	−	0.717332i	−0.0572494	−	0.0330529i
$472$	−31.6716	−	9.76188i	−1.45780	−	0.449327i
$473$	−5.59399	−	5.59399i	−0.257212	−	0.257212i
$474$	−0.141888	+	11.4471i	−0.00651714	+	0.525784i
$475$	−7.90296	−	9.89219i	−0.362613	−	0.453885i
$476$	14.8765	−	50.4799i	0.681862	−	2.31374i
$477$	−16.6875	+	9.63454i	−0.764069	+	0.441135i
$478$	9.20235	−	32.7162i	0.420906	−	1.49640i
$479$	−4.12518	−	15.3954i	−0.188484	−	0.703433i	−0.993858	−	0.110665i	$-0.964702\pi$
$479$	−4.12518	−	15.3954i	−0.188484	−	0.703433i	0.805373	−	0.592768i	$-0.201965\pi$
$480$	−4.04635	+	5.42071i	−0.184690	+	0.247421i
$481$	5.86098	−	2.66565i	0.267238	−	0.121543i
$482$	30.3857	−	7.73948i	1.38403	−	0.352524i
$483$	−3.47682	−	12.9757i	−0.158201	−	0.590414i
$484$	−0.335909	+	13.5480i	−0.0152686	+	0.615818i
$485$	13.2649	−	2.77380i	0.602329	−	0.125952i
$486$	−9.13434	+	15.3778i	−0.414342	+	0.697550i
$487$	−9.28834	−	2.48880i	−0.420895	−	0.112778i	0.0421541	−	0.999111i	$-0.486578\pi$
$487$	−9.28834	−	2.48880i	−0.420895	−	0.112778i	−0.463049	+	0.886333i	$0.653245\pi$
$488$	−3.42420	−	6.47551i	−0.155006	−	0.293132i
$489$	−5.31942	−	5.31942i	−0.240552	−	0.240552i
$490$	25.1318	−	12.3123i	1.13534	−	0.556214i
$491$	10.0929	−	17.4813i	0.455484	−	0.788922i	−0.543232	−	0.839583i	$-0.682799\pi$
$491$	10.0929	−	17.4813i	0.455484	−	0.788922i	0.998716	+	0.0506608i	$0.0161327\pi$
$492$	−1.81699	+	1.72907i	−0.0819161	+	0.0779523i
$493$	14.6304			0.658920
$494$	−5.19962	−	11.8190i	−0.233942	−	0.531762i
$495$	11.8493	+	3.89338i	0.532587	+	0.174994i
$496$	−2.52326	+	7.83994i	−0.113298	+	0.352024i
$497$	47.1446	+	27.2189i	2.11472	+	1.22094i
$498$	6.90682	−	6.73770i	0.309502	−	0.301923i
$499$	−2.37772	−	2.37772i	−0.106441	−	0.106441i	0.651880	−	0.758322i	$-0.273980\pi$
$499$	−2.37772	−	2.37772i	−0.106441	−	0.106441i	−0.758322	+	0.651880i	$0.773980\pi$
$500$	−14.6663	+	16.8789i	−0.655898	+	0.754849i
$501$	−1.62056	+	6.04800i	−0.0724012	+	0.270205i
$502$	−7.27837	+	12.2532i	−0.324850	+	0.546888i
$503$	−11.2864	−	19.5486i	−0.503235	−	0.871628i	−0.999993	−	0.00373916i	$-0.998810\pi$
$503$	−11.2864	−	19.5486i	−0.503235	−	0.871628i	0.496758	−	0.867889i	$-0.334524\pi$
$504$	−29.7935	+	6.80696i	−1.32711	+	0.303206i
$505$	1.78030	−	31.9513i	0.0792221	−	1.42182i
$506$	17.7716	−	4.52658i	0.790046	−	0.201231i
$507$	1.33684	−	6.82230i	0.0593710	−	0.302989i
$508$	28.7697	−	15.6726i	1.27645	−	0.695357i
$509$	−6.77162	−	25.2720i	−0.300147	−	1.12016i	−0.937043	−	0.349213i	$-0.886449\pi$
$509$	−6.77162	−	25.2720i	−0.300147	−	1.12016i	0.636897	−	0.770949i	$-0.280218\pi$
$510$	6.23386	−	9.27721i	0.276040	−	0.410802i
$511$	6.68581	+	11.5802i	0.295763	+	0.512276i
$512$	22.4868	+	2.51886i	0.993785	+	0.111319i
$513$	2.00272	−	7.47425i	0.0884223	−	0.329996i
$514$	−3.45518	−	0.0428273i	−0.152402	−	0.00188903i
$515$	−30.9977	+	15.6654i	−1.36592	+	0.690302i
$516$	3.51329	+	2.14623i	0.154664	+	0.0944825i
$517$	2.67785	−	4.63817i	0.117772	−	0.203987i
$518$	4.91887	+	8.76896i	0.216123	+	0.385286i
$519$	2.72434			0.119585
$520$	−18.8744	+	12.7967i	−0.827698	+	0.561174i
$521$	6.76217			0.296256			0.148128	−	0.988968i	$-0.452675\pi$
$521$	6.76217			0.296256			0.148128	+	0.988968i	$0.452675\pi$
$522$	−4.15657	−	7.40999i	−0.181928	−	0.324327i
$523$	8.25002	−	14.2895i	0.360748	−	0.624834i	−0.627336	−	0.778749i	$-0.715855\pi$
$523$	8.25002	−	14.2895i	0.360748	−	0.624834i	0.988084	+	0.153915i	$0.0491881\pi$
$524$	−15.6656	−	9.56993i	−0.684354	−	0.418064i
$525$	10.5249	−	1.59581i	0.459343	−	0.0696468i
$526$	25.2878	+	0.313444i	1.10260	+	0.0136668i
$527$	3.52218	−	13.1450i	0.153429	−	0.572603i
$528$	0.926002	+	4.29767i	0.0402991	+	0.187032i
$529$	8.40576	+	14.5592i	0.365468	+	0.633009i
$530$	−18.6353	−	12.5221i	−0.809466	−	0.543924i
$531$	−8.23078	−	30.7177i	−0.357185	−	1.33303i
$532$	17.7062	−	9.64561i	0.767662	−	0.418190i
$533$	−7.69677	+	3.50059i	−0.333384	+	0.151627i
$534$	−0.172872	+	0.0440319i	−0.00748090	+	0.00190545i
$535$	−29.6057	−	1.64960i	−1.27997	−	0.0713185i
$536$	2.78362	+	12.1837i	0.120234	+	0.526254i
$537$	2.04718	+	3.54582i	0.0883424	+	0.153014i
$538$	−11.5552	+	19.4534i	−0.498182	+	0.838695i
$539$	4.70750	−	17.5686i	0.202767	−	0.756735i
$540$	−13.6213	−	1.09821i	−0.586168	−	0.0472594i
$541$	−0.486822	−	0.486822i	−0.0209301	−	0.0209301i	0.696564	−	0.717494i	$-0.254711\pi$
$541$	−0.486822	−	0.486822i	−0.0209301	−	0.0209301i	−0.717494	+	0.696564i	$0.754711\pi$
$542$	−29.4998	+	28.7775i	−1.26713	+	1.23610i
$543$	3.00450	+	1.73465i	0.128935	+	0.0744408i
$544$	−37.3165	−	2.31555i	−1.59993	−	0.0992784i
$545$	−18.1396	−	5.96018i	−0.777013	−	0.255306i
$546$	10.7914	+	1.18251i	0.461828	+	0.0506070i
$547$	−17.2028			−0.735537			−0.367768	−	0.929917i	$-0.619878\pi$
$547$	−17.2028			−0.735537			−0.367768	+	0.929917i	$0.619878\pi$
$548$	−20.4068	+	19.4193i	−0.871735	+	0.829553i
$549$	3.51441	−	6.08713i	0.149991	−	0.259792i
$550$	2.00032	+	14.3943i	0.0852939	+	0.613773i
$551$	3.96364	+	3.96364i	0.168857	+	0.168857i
$552$	−8.43680	+	4.46132i	−0.359094	+	0.189886i
$553$	−58.2106	−	15.5975i	−2.47537	−	0.663273i
$554$	−10.0174	+	16.8644i	−0.425598	+	0.716500i
$555$	0.437078	+	2.09020i	0.0185529	+	0.0887240i
$556$	0.132902	−	5.36025i	0.00563629	−	0.227325i
$557$	9.54286	+	35.6144i	0.404344	+	1.50903i	0.805263	+	0.592918i	$0.202024\pi$
$557$	9.54286	+	35.6144i	0.404344	+	1.50903i	−0.400919	+	0.916113i	$0.631309\pi$
$558$	−7.65832	+	1.95064i	−0.324203	+	0.0825771i
$559$	8.81987	+	10.7159i	0.373041	+	0.453233i
$560$	−22.3950	−	27.6849i	−0.946361	−	1.16990i
$561$	−1.88011	−	7.01667i	−0.0793783	−	0.296244i
$562$	−10.9910	+	39.0753i	−0.463629	+	1.64829i
$563$	32.3433	−	18.6734i	1.36311	−	0.786992i	0.373073	−	0.927802i	$-0.378304\pi$
$563$	32.3433	−	18.6734i	1.36311	−	0.786992i	0.990037	+	0.140810i	$0.0449708\pi$
$564$	−0.787870	+	2.67346i	−0.0331753	+	0.112573i
$565$	−25.2468	−	16.5142i	−1.06214	−	0.694757i
$566$	−0.193102	+	15.5789i	−0.00811667	+	0.654830i
$567$	−18.3207	−	18.3207i	−0.769397	−	0.769397i
$568$	11.3917	−	36.9595i	0.477986	−	1.55079i
$569$	2.58732	+	1.49379i	0.108466	+	0.0626230i	0.553252	−	0.833014i	$-0.313387\pi$
$569$	2.58732	+	1.49379i	0.108466	+	0.0626230i	−0.444785	+	0.895637i	$0.646720\pi$
$570$	4.20223	−	0.824497i	0.176012	−	0.0345344i
$571$	15.6042			0.653015			0.326508	−	0.945195i	$-0.394128\pi$
$571$	15.6042			0.653015			0.326508	+	0.945195i	$0.394128\pi$
$572$	−1.79682	+	14.7111i	−0.0751287	+	0.615100i
$573$		−	0.767361i		−	0.0320570i
$574$	−6.45957	−	11.5156i	−0.269617	−	0.480652i
$575$	−28.9048	+	12.6412i	−1.20541	+	0.527175i
$576$	9.42902	+	19.5579i	0.392876	+	0.814912i
$577$	18.7109	+	18.7109i	0.778943	+	0.778943i	0.979651	−	0.200708i	$-0.0643243\pi$
$577$	18.7109	+	18.7109i	0.778943	+	0.778943i	−0.200708	+	0.979651i	$0.564324\pi$
$578$	37.7336	+	0.467711i	1.56951	+	0.0194542i
$579$	9.95722	+	2.66803i	0.413808	+	0.110880i
$580$	5.62268	−	8.14767i	0.233469	−	0.338313i
$581$	25.3966	+	43.9881i	1.05363	+	1.82494i
$582$	−1.24108	+	4.41228i	−0.0514444	+	0.182895i
$583$	−14.0945	+	3.77661i	−0.583735	+	0.156411i
$584$	6.96247	−	6.46304i	0.288109	−	0.267442i
$585$	−20.0307	−	8.80643i	−0.828168	−	0.364101i
$586$	−4.97567	−	19.5348i	−0.205543	−	0.806975i
$587$	11.7989	+	44.0340i	0.486991	+	1.81748i	0.570922	+	0.821004i	$0.306586\pi$
$587$	11.7989	+	44.0340i	0.486991	+	1.81748i	−0.0839311	+	0.996472i	$0.526748\pi$
$588$	−0.234611	+	9.46243i	−0.00967520	+	0.390224i
$589$	4.51543	−	2.60699i	0.186055	−	0.107419i
$590$	27.9220	−	24.3585i	1.14953	−	1.00283i
$591$	2.21071	−	8.25046i	0.0909363	−	0.339379i
$592$	5.29503	−	4.79441i	0.217625	−	0.197049i
$593$	9.11249	−	9.11249i	0.374205	−	0.374205i	−0.494801	−	0.869006i	$-0.664759\pi$
$593$	9.11249	−	9.11249i	0.374205	−	0.374205i	0.869006	+	0.494801i	$0.164759\pi$
$594$	−6.35749	+	6.20181i	−0.260851	+	0.254464i
$595$	39.2257	+	43.8549i	1.60810	+	1.79787i
$596$	−13.3861	+	12.7383i	−0.548314	+	0.521782i
$597$	−0.0704085			−0.00288163
$598$	−31.7988	+	4.89232i	−1.30035	+	0.200062i
$599$		−	16.7004i		−	0.682358i	−0.939998	−	0.341179i	$-0.889174\pi$
$599$		−	16.7004i		−	0.682358i	0.939998	−	0.341179i	$-0.110826\pi$
$600$	−2.77071	−	7.03702i	−0.113114	−	0.287285i
$601$	7.83276	−	13.5667i	0.319505	−	0.553399i	−0.660880	−	0.750492i	$-0.729817\pi$
$601$	7.83276	−	13.5667i	0.319505	−	0.553399i	0.980385	+	0.197093i	$0.0631500\pi$
$602$	−15.5134	+	15.1336i	−0.632281	+	0.616799i
$603$	−8.47969	+	8.47969i	−0.345320	+	0.345320i
$604$	3.38808	+	14.0264i	0.137859	+	0.570725i
$605$	−12.6800	−	8.29416i	−0.515517	−	0.337205i
$606$	9.30550	+	5.52743i	0.378010	+	0.224536i
$607$	−3.98035	−	6.89417i	−0.161558	−	0.279826i	0.773870	−	0.633345i	$-0.218318\pi$
$607$	−3.98035	−	6.89417i	−0.161558	−	0.279826i	−0.935427	+	0.353519i	$0.884985\pi$
$608$	−9.48238	−	10.7370i	−0.384561	−	0.435444i
$609$	−4.55221	+	1.21976i	−0.184465	+	0.0494272i
$610$	8.17077	+	0.556929i	0.330825	+	0.0225494i
$611$	−5.46191	+	7.64507i	−0.220965	+	0.309286i
$612$	−17.1623	−	31.5045i	−0.693746	−	1.27349i
$613$	22.2660	−	5.96616i	0.899316	−	0.240971i	0.220594	−	0.975366i	$-0.429201\pi$
$613$	22.2660	−	5.96616i	0.899316	−	0.240971i	0.678723	+	0.734395i	$0.262534\pi$
$614$	5.87258	−	20.8782i	0.236998	−	0.842575i
$615$	−0.573980	−	2.74489i	−0.0231451	−	0.110685i
$616$	−23.1268	−	0.860328i	−0.931805	−	0.0346636i
$617$	2.48012	−	9.25594i	0.0998459	−	0.372630i	−0.897864	−	0.440274i	$-0.854881\pi$
$617$	2.48012	−	9.25594i	0.0998459	−	0.372630i	0.997710	+	0.0676436i	$0.0215481\pi$
$618$	0.145592	−	11.7459i	0.00585656	−	0.472491i
$619$	−0.472178	+	0.472178i	−0.0189784	+	0.0189784i	−0.716532	−	0.697554i	$-0.754272\pi$
$619$	−0.472178	+	0.472178i	−0.0189784	+	0.0189784i	0.697554	+	0.716532i	$0.254272\pi$
$620$	−5.96680	−	7.01332i	−0.239633	−	0.281662i
$621$	−16.6973	−	9.64018i	−0.670039	−	0.386847i
$622$	−2.37078	−	4.22643i	−0.0950595	−	0.169464i
$623$		−	0.939079i		−	0.0376234i
$624$	−0.888612	−	7.66124i	−0.0355729	−	0.306695i
$625$	−7.41076	−	23.8764i	−0.296431	−	0.955054i
$626$	16.7084	−	9.37245i	0.667804	−	0.374598i
$627$	1.39159	−	2.41030i	0.0555746	−	0.0962581i
$628$	−4.57875	−	2.79711i	−0.182712	−	0.111617i
$629$	−8.34586	+	8.34586i	−0.332771	+	0.332771i
$630$	11.0674	−	32.3264i	0.440935	−	1.28792i
$631$	9.46627	+	2.53648i	0.376846	+	0.100976i	0.442270	−	0.896882i	$-0.354173\pi$
$631$	9.46627	+	2.53648i	0.376846	+	0.100976i	−0.0654239	+	0.997858i	$0.520840\pi$
$632$	−1.59162	+	42.7849i	−0.0633112	+	1.70189i
$633$	−9.70325	+	5.60218i	−0.385670	+	0.222666i
$634$	−10.1293	+	36.0118i	−0.402288	+	1.43021i
$635$	−2.03775	+	36.5719i	−0.0808657	+	1.45131i
$636$	6.66834	−	3.63263i	0.264417	−	0.144043i
$637$	−11.1972	+	29.8795i	−0.443651	+	1.18387i
$638$	−1.58804	−	6.23475i	−0.0628712	−	0.246836i
$639$	35.8463	−	9.60500i	1.41806	−	0.379968i
$640$	−15.6308	+	19.8916i	−0.617863	+	0.786286i
$641$	−24.3986	+	14.0865i	−0.963686	+	0.556384i	−0.897306	−	0.441410i	$-0.854478\pi$
$641$	−24.3986	+	14.0865i	−0.963686	+	0.556384i	−0.0663806	+	0.997794i	$0.521145\pi$
$642$	5.12165	−	8.62236i	0.202135	−	0.340297i
$643$	−22.6717	−	6.07486i	−0.894085	−	0.239569i	−0.217611	−	0.976036i	$-0.569826\pi$
$643$	−22.6717	−	6.07486i	−0.894085	−	0.239569i	−0.676474	+	0.736466i	$0.736493\pi$
$644$	−11.7962	−	48.8352i	−0.464834	−	1.92438i
$645$	−4.10811	+	2.07613i	−0.161757	+	0.0817475i
$646$	16.5281	+	16.9430i	0.650289	+	0.666613i
$647$	−16.3519	−	9.44077i	−0.642859	−	0.371155i	0.142856	−	0.989743i	$-0.454371\pi$
$647$	−16.3519	−	9.44077i	−0.642859	−	0.371155i	−0.785715	+	0.618589i	$0.787705\pi$
$648$	−9.78987	+	15.5880i	−0.384583	+	0.612354i
$649$		−	24.0818i		−	0.945295i
$650$	−1.05347	−	25.4733i	−0.0413206	−	0.999146i
$651$			4.38367i			0.171810i
$652$	−19.3949	−	20.3811i	−0.759563	−	0.798186i
$653$	5.33912	+	3.08254i	0.208936	+	0.120629i	0.600817	−	0.799387i	$-0.294842\pi$
$653$	5.33912	+	3.08254i	0.208936	+	0.120629i	−0.391881	+	0.920016i	$0.628175\pi$
$654$	4.62264	−	4.50944i	0.180759	−	0.176333i
$655$	18.3179	−	9.25736i	0.715738	−	0.361715i
$656$	−6.95355	+	6.29613i	−0.271491	+	0.245822i
$657$	8.80497	+	2.35928i	0.343514	+	0.0920444i
$658$	−12.6143	−	7.49286i	−0.491758	−	0.292102i
$659$	20.1255	−	11.6194i	0.783976	−	0.452629i	−0.0538614	−	0.998548i	$-0.517153\pi$
$659$	20.1255	−	11.6194i	0.783976	−	0.452629i	0.837838	+	0.545920i	$0.183820\pi$
$660$	−4.63014	−	1.64958i	−0.180228	−	0.0642098i
$661$	−47.3048	+	12.6753i	−1.83994	+	0.493011i	−0.998853	−	0.0478833i	$-0.984752\pi$
$661$	−47.3048	+	12.6753i	−1.83994	+	0.493011i	−0.841090	+	0.540895i	$0.818086\pi$
$662$	22.4861	−	5.72740i	0.873948	−	0.222602i
$663$	2.09383	+	12.5707i	0.0813178	+	0.488204i
$664$	26.4475	−	24.5503i	1.02636	−	0.952738i
$665$	−1.25413	+	22.5080i	−0.0486329	+	0.872825i
$666$	6.59811	+	1.85591i	0.255672	+	0.0719149i
$667$	12.0957	−	6.98345i	0.468347	−	0.270400i
$668$	−6.61951	+	22.4618i	−0.256117	+	0.869073i
$669$	−4.24317	−	1.13695i	−0.164051	−	0.0439572i
$670$	−13.2195	−	4.52586i	−0.510713	−	0.174849i
$671$	3.76368	−	3.76368i	0.145295	−	0.145295i
$672$	11.8040	−	2.39066i	0.455348	−	0.0922216i
$673$	−9.43642	+	16.3444i	−0.363747	+	0.630029i	−0.988574	−	0.150734i	$-0.951836\pi$
$673$	−9.43642	+	16.3444i	−0.363747	+	0.630029i	0.624827	+	0.780763i	$0.285169\pi$
$674$	−1.19784	−	2.13540i	−0.0461389	−	0.0822527i
$675$	9.06190	−	12.3010i	0.348793	−	0.473466i
$676$	5.63053	−	25.3830i	0.216559	−	0.976270i
$677$			1.24456i			0.0478324i	0.999714	+	0.0239162i	$0.00761349\pi$
$677$			1.24456i			0.0478324i	−0.999714	+	0.0239162i	$0.992387\pi$
$678$	8.89902	−	4.99182i	0.341765	−	0.191710i
$679$	−20.8957	−	12.0641i	−0.801902	−	0.462978i
$680$	24.1669	−	34.1074i	0.926758	−	1.30796i
$681$	0.893252	−	0.893252i	0.0342295	−	0.0342295i
$682$	−5.98405	−	0.0741728i	−0.229141	−	0.00284022i
$683$	−6.98855	+	26.0816i	−0.267409	+	0.997985i	0.693350	+	0.720601i	$0.256134\pi$
$683$	−6.98855	+	26.0816i	−0.267409	+	0.997985i	−0.960759	+	0.277384i	$0.910533\pi$
$684$	3.88555	−	13.1847i	0.148568	−	0.504131i
$685$	−6.44643	−	30.8282i	−0.246305	−	1.17789i
$686$	−10.0261	−	2.82013i	−0.382799	−	0.107673i
$687$	1.29841	−	0.347907i	0.0495373	−	0.0132735i
$688$	12.9364	+	8.34990i	0.493195	+	0.318337i
$689$	25.2509	−	4.20592i	0.961984	−	0.160233i
$690$	0.725611	−	10.6455i	0.0276236	−	0.405268i
$691$	27.8279	−	7.45647i	1.05862	−	0.283657i	0.312813	−	0.949815i	$-0.398729\pi$
$691$	27.8279	−	7.45647i	1.05862	−	0.283657i	0.745811	+	0.666158i	$0.232062\pi$
$692$	10.1856	+	0.252543i	0.387200	+	0.00960023i
$693$	−11.1033	−	19.2315i	−0.421781	−	0.730546i
$694$	−8.13950	+	13.7030i	−0.308971	+	0.520157i
$695$	5.01684	+	3.28157i	0.190299	+	0.124477i
$696$	1.56515	+	2.95985i	0.0593267	+	0.112193i
$697$	10.9600	−	10.9600i	0.415138	−	0.415138i
$698$	−18.9267	−	19.4017i	−0.716384	−	0.734366i
$699$	−0.267190	+	0.462787i	−0.0101061	+	0.0175042i
$700$	39.4978	−	4.99070i	1.49288	−	0.188631i
$701$		−	6.05688i		−	0.228765i	−0.993437	−	0.114383i	$-0.963511\pi$
$701$		−	6.05688i		−	0.228765i	0.993437	−	0.114383i	$-0.0364890\pi$
$702$	12.1520	−	9.75182i	0.458649	−	0.368059i
$703$	−4.52209			−0.170554
$704$	3.06371	+	16.1538i	0.115468	+	0.608819i
$705$	−2.07743	−	2.32259i	−0.0782404	−	0.0874739i
$706$	7.06844	+	7.24586i	0.266024	+	0.272702i
$707$	−40.2879	+	40.2879i	−1.51518	+	1.51518i
$708$	2.94256	+	12.1820i	0.110588	+	0.457826i
$709$	−8.62369	+	32.1840i	−0.323869	+	1.20870i	0.591574	+	0.806250i	$0.298507\pi$
$709$	−8.62369	+	32.1840i	−0.323869	+	1.20870i	−0.915444	+	0.402446i	$0.868160\pi$
$710$	28.4255	+	32.5839i	1.06679	+	1.22285i
$711$	−35.5786	+	20.5413i	−1.33430	+	0.770360i
$712$	−0.650407	+	0.148599i	−0.0243750	+	0.00556900i
$713$	−3.36245	−	12.5488i	−0.125925	−	0.469958i
$714$	−19.2845	+	4.91191i	−0.721703	+	0.183824i
$715$	−12.9256	−	10.3674i	−0.483391	−	0.387719i
$716$	7.32522	+	13.4467i	0.273756	+	0.502528i
$717$	−12.4135	+	3.32619i	−0.463591	+	0.124219i
$718$	−11.3906	−	3.20392i	−0.425092	−	0.119569i
$719$	12.9169	+	22.3727i	0.481718	+	0.834360i	0.999780	−	0.0209830i	$-0.00667958\pi$
$719$	12.9169	+	22.3727i	0.481718	+	0.834360i	−0.518062	+	0.855343i	$0.673346\pi$
$720$	−24.1406	−	2.54996i	−0.899668	−	0.0950314i
$721$	59.7301	+	16.0046i	2.22447	+	0.596044i
$722$	0.220633	−	17.8001i	0.00821112	−	0.662450i
$723$	−8.38413	−	8.38413i	−0.311809	−	0.311809i
$724$	11.0723	+	6.76394i	0.411498	+	0.251380i
$725$	4.43487	+	10.1406i	0.164707	+	0.376611i
$726$	4.46948	−	2.50711i	0.165878	−	0.0930477i
$727$			35.1134i			1.30228i	0.758956	+	0.651142i	$0.225710\pi$
$727$			35.1134i			1.30228i	−0.758956	+	0.651142i	$0.774290\pi$
$728$	40.2367	+	5.42148i	1.49127	+	0.200933i
$729$	−12.7604			−0.472606
$730$	2.04493	+	10.4224i	0.0756862	+	0.385751i
$731$	−22.0328	−	12.7206i	−0.814912	−	0.470490i
$732$	−1.44400	+	2.36376i	−0.0533717	+	0.0873673i
$733$	12.1511	+	12.1511i	0.448811	+	0.448811i	0.894959	−	0.446148i	$-0.147205\pi$
$733$	12.1511	+	12.1511i	0.448811	+	0.448811i	−0.446148	+	0.894959i	$0.647205\pi$
$734$	−32.2509	−	0.399752i	−1.19040	−	0.0147551i
$735$	−8.85621	−	5.79295i	−0.326666	−	0.213676i
$736$	−31.9567	+	15.8977i	−1.17794	+	0.585997i
$737$	−7.86449	+	4.54057i	−0.289692	+	0.167254i
$738$	−8.66478	−	2.43722i	−0.318955	−	0.0897152i
$739$	−1.17602	−	4.38895i	−0.0432605	−	0.161450i	0.940916	−	0.338639i	$-0.109966\pi$
$739$	−1.17602	−	4.38895i	−0.0432605	−	0.161450i	−0.984177	+	0.177189i	$0.943300\pi$
$740$	1.44037	+	7.85526i	0.0529490	+	0.288765i
$741$	−2.83837	+	3.97288i	−0.104270	+	0.145947i
$742$	9.86664	+	38.7371i	0.362216	+	1.42208i
$743$	2.97262	+	11.0940i	0.109055	+	0.406998i	0.998774	−	0.0495112i	$-0.0157664\pi$
$743$	2.97262	+	11.0940i	0.109055	+	0.406998i	−0.889719	+	0.456509i	$0.849100\pi$
$744$	3.03613	−	0.693670i	0.111310	−	0.0254312i
$745$	−4.22861	−	20.2221i	−0.154924	−	0.740880i
$746$	−4.96769	−	2.95079i	−0.181880	−	0.108036i
$747$	33.4463	+	8.96192i	1.22374	+	0.327900i
$748$	−6.37884	−	26.4079i	−0.233234	−	0.965568i
$749$	37.3303	+	37.3303i	1.36402	+	1.36402i
$750$	8.31983	+	1.50862i	0.303797	+	0.0550869i
$751$	−7.08084	+	12.2644i	−0.258384	+	0.447534i	−0.965809	−	0.259254i	$-0.916523\pi$
$751$	−7.08084	+	12.2644i	−0.258384	+	0.447534i	0.707425	+	0.706788i	$0.249857\pi$
$752$	−3.19348	+	9.92237i	−0.116454	+	0.361831i
$753$	5.38923			0.196394
$754$	1.71635	+	11.1558i	0.0625059	+	0.406272i
$755$	−15.3268	−	5.03599i	−0.557800	−	0.183278i
$756$	16.7726	+	17.6255i	0.610015	+	0.641034i
$757$	−31.6166	−	18.2538i	−1.14912	−	0.663447i	−0.200450	−	0.979704i	$-0.564240\pi$
$757$	−31.6166	−	18.2538i	−1.14912	−	0.663447i	−0.948673	+	0.316257i	$0.897574\pi$
$758$	8.77559	+	8.99587i	0.318744	+	0.326745i
$759$	−4.90362	−	4.90362i	−0.177990	−	0.177990i
$760$	15.7876	−	2.69305i	0.572675	−	0.0976873i
$761$	10.6373	−	39.6988i	0.385600	−	1.43908i	−0.451618	−	0.892211i	$-0.649153\pi$
$761$	10.6373	−	39.6988i	0.385600	−	1.43908i	0.837218	−	0.546869i	$-0.184180\pi$
$762$	−10.6512	−	6.32677i	−0.385852	−	0.229195i
$763$	16.9976	+	29.4406i	0.615353	+	1.06582i
$764$	0.0711333	−	2.86898i	0.00257351	−	0.103796i
$765$	40.0483	+	2.23145i	1.44795	+	0.0806784i
$766$	−5.69813	−	22.3712i	−0.205882	−	0.808305i
$767$	−4.08108	+	42.0502i	−0.147359	+	1.51834i
$768$	−3.52363	−	7.79714i	−0.127148	−	0.281355i
$769$	8.28761	+	30.9298i	0.298859	+	1.11536i	0.938104	+	0.346353i	$0.112580\pi$
$769$	8.28761	+	30.9298i	0.298859	+	1.11536i	−0.639245	+	0.769003i	$0.720753\pi$
$770$	14.4311	−	21.4763i	0.520060	−	0.773951i
$771$	0.653324	+	1.13159i	0.0235289	+	0.0407533i
$772$	36.9803	+	10.8981i	1.33095	+	0.392232i
$773$	−2.54027	+	9.48040i	−0.0913670	+	0.340986i	−0.996444	−	0.0842622i	$-0.973147\pi$
$773$	−2.54027	+	9.48040i	−0.0913670	+	0.340986i	0.905077	+	0.425249i	$0.139813\pi$
$774$	−0.183114	+	14.7732i	−0.00658191	+	0.531010i
$775$	10.1786	−	1.54331i	0.365628	−	0.0554374i
$776$	−5.04910	+	16.3814i	−0.181252	+	0.588057i
$777$	1.90098	−	3.29260i	0.0681974	−	0.118121i
$778$	33.2871	−	18.6721i	1.19340	−	0.669428i
$779$	5.93851			0.212769
$780$	7.80530	+	3.66505i	0.279475	+	0.131230i
$781$	28.1026			1.00559
$782$	51.4367	−	28.8530i	1.83937	−	1.03178i
$783$	−3.38203	+	5.85784i	−0.120864	+	0.209342i
$784$	−1.75431	+	35.3560i	−0.0626539	+	1.26271i
$785$	5.35395	−	2.70575i	0.191091	−	0.0965723i
$786$	−0.0860362	+	6.94116i	−0.00306881	+	0.247583i
$787$	7.60038	−	28.3650i	0.270924	−	1.01110i	−0.687599	−	0.726090i	$-0.741335\pi$
$787$	7.60038	−	28.3650i	0.270924	−	1.01110i	0.958524	−	0.285013i	$-0.0919980\pi$
$788$	9.03010	−	30.6415i	0.321684	−	1.09156i
$789$	−4.78155	−	8.28189i	−0.170228	−	0.294843i
$790$	−39.7314	−	26.6977i	−1.41358	−	0.949861i
$791$	13.9019	+	51.8824i	0.494293	+	1.84473i
$792$	−11.5628	+	10.7334i	−0.410866	+	0.381394i
$793$	−7.20971	+	5.93407i	−0.256024	+	0.210725i
$794$	5.83084	+	22.8923i	0.206929	+	0.812416i
$795$	−0.472316	+	8.47676i	−0.0167513	+	0.300640i
$796$	−0.263240	−	0.00652677i	−0.00933030	−	0.000231335i
$797$	−7.43621	−	12.8799i	−0.263404	−	0.456230i	0.703740	−	0.710458i	$-0.251512\pi$
$797$	−7.43621	−	12.8799i	−0.263404	−	0.456230i	−0.967144	+	0.254228i	$0.918179\pi$
$798$	−6.55524	−	3.89379i	−0.232053	−	0.137839i
$799$	4.45774	−	16.6365i	0.157703	−	0.588557i
$800$	−9.70668	−	26.5665i	−0.343183	−	0.939269i
$801$	−0.452676	−	0.452676i	−0.0159945	−	0.0159945i
$802$	−11.0778	−	11.3558i	−0.391170	−	0.400989i
$803$	5.97805	+	3.45143i	0.210961	+	0.121798i
$804$	3.42349	−	3.25784i	0.120737	−	0.114895i
$805$	53.3630	+	17.5337i	1.88080	+	0.617981i
$806$	10.4364	+	1.14362i	0.367606	+	0.0402821i
$807$	8.55602			0.301186
$808$	34.2786	+	21.5283i	1.20592	+	0.757363i
$809$	13.7828	−	23.8726i	0.484578	−	0.839314i	−0.515265	−	0.857031i	$-0.672306\pi$
$809$	13.7828	−	23.8726i	0.484578	−	0.839314i	0.999843	+	0.0177169i	$0.00563975\pi$
$810$	−9.05414	−	18.4812i	−0.318130	−	0.649365i
$811$	−11.4849	−	11.4849i	−0.403289	−	0.403289i	0.476102	−	0.879390i	$-0.342049\pi$
$811$	−11.4849	−	11.4849i	−0.403289	−	0.403289i	−0.879390	+	0.476102i	$0.842049\pi$
$812$	−17.1327	+	4.13840i	−0.601238	+	0.145229i
$813$	15.0528	+	4.03338i	0.527924	+	0.141457i
$814$	4.46249	+	2.65070i	0.156410	+	0.0929071i
$815$	30.7894	−	6.43832i	1.07851	−	0.225524i
$816$	6.45356	+	12.5792i	0.225920	+	0.440359i
$817$	−2.52283	−	9.41534i	−0.0882627	−	0.329401i
$818$	−3.73485	−	14.6633i	−0.130586	−	0.512689i
$819$	16.1288	+	35.4625i	0.563586	+	1.23916i
$820$	−1.89152	−	10.3157i	−0.0660548	−	0.360240i
$821$	−4.38721	−	16.3733i	−0.153115	−	0.571431i	−0.999259	−	0.0384783i	$-0.987749\pi$
$821$	−4.38721	−	16.3733i	−0.153115	−	0.571431i	0.846145	−	0.532953i	$-0.178918\pi$
$822$	10.2543	+	2.88432i	0.357660	+	0.100602i
$823$	1.95675	−	1.12973i	0.0682081	−	0.0393800i	−0.465508	−	0.885044i	$-0.654128\pi$
$823$	1.95675	−	1.12973i	0.0682081	−	0.0393800i	0.533716	+	0.845664i	$0.320795\pi$
$824$	1.63316	−	43.9017i	0.0568940	−	1.52939i
$825$	4.29345	−	3.43008i	0.149479	−	0.119420i
$826$	−65.9669	−	0.817666i	−2.29528	−	0.0284502i
$827$	−19.2049	−	19.2049i	−0.667821	−	0.667821i	0.289390	−	0.957211i	$-0.406547\pi$
$827$	−19.2049	−	19.2049i	−0.667821	−	0.667821i	−0.957211	+	0.289390i	$0.906547\pi$
$828$	−29.2269	−	17.8544i	−1.01570	−	0.620483i
$829$	−13.3010	−	7.67934i	−0.461963	−	0.266715i	0.250906	−	0.968011i	$-0.419271\pi$
$829$	−13.3010	−	7.67934i	−0.461963	−	0.266715i	−0.712869	+	0.701297i	$0.752605\pi$
$830$	7.76781	+	39.5904i	0.269625	+	1.37420i
$831$	7.41733			0.257304
$832$	−2.61212	−	28.7259i	−0.0905588	−	0.995891i
$833$		−	58.4920i		−	2.02663i
$834$	−1.76834	+	0.991936i	−0.0612327	+	0.0343479i
$835$	−17.4541	−	19.5139i	−0.604023	−	0.675306i
$836$	5.42624	−	8.88253i	0.187670	−	0.307209i
$837$	4.44889	+	4.44889i	0.153776	+	0.153776i
$838$	0.648270	−	52.3006i	0.0223941	−	1.80669i
$839$	−7.79941	−	2.08985i	−0.269265	−	0.0721495i	0.121660	−	0.992572i	$-0.461178\pi$
$839$	−7.79941	−	2.08985i	−0.269265	−	0.0721495i	−0.390925	+	0.920422i	$0.627845\pi$
$840$	−4.67587	+	12.6272i	−0.161333	+	0.435681i
$841$	12.0500	+	20.8713i	0.415518	+	0.719698i
$842$	43.0585	+	12.1114i	1.48389	+	0.417387i
$843$	14.8264	−	3.97272i	0.510647	−	0.136828i
$844$	−36.7974	+	20.0457i	−1.26662	+	0.690001i
$845$	20.8129	+	20.2934i	0.715987	+	0.698114i
$846$	−9.69251	+	2.46876i	−0.333235	+	0.0848778i
$847$	6.98212	+	26.0576i	0.239909	+	0.895351i
$848$	25.2680	−	12.9634i	0.867708	−	0.445164i
$849$	5.10217	−	2.94574i	0.175106	−	0.101097i
$850$	18.1945	+	43.0482i	0.624065	+	1.47654i
$851$	−2.91626	+	10.8836i	−0.0999683	+	0.373087i
$852$	−14.2159	+	3.43385i	−0.487028	+	0.117642i
$853$	−37.6515	+	37.6515i	−1.28916	+	1.28916i	−0.353865	+	0.935296i	$0.615133\pi$
$853$	−37.6515	+	37.6515i	−1.28916	+	1.28916i	−0.935296	+	0.353865i	$0.884867\pi$
$854$	−10.1820	−	10.4376i	−0.348420	−	0.357166i
$855$	10.2453	+	11.4544i	0.350381	+	0.391731i
$856$	19.9479	−	31.7621i	0.681805	−	1.08561i
$857$	25.0654			0.856218			0.428109	−	0.903727i	$-0.359180\pi$
$857$	25.0654			0.856218			0.428109	+	0.903727i	$0.359180\pi$
$858$	5.12973	−	2.25676i	0.175126	−	0.0770446i
$859$		−	21.0538i		−	0.718345i	−0.933271	−	0.359173i	$-0.883059\pi$
$859$		−	21.0538i		−	0.718345i	0.933271	−	0.359173i	$-0.116941\pi$
$860$	−15.5517	+	7.38133i	−0.530307	+	0.251701i
$861$	−2.49641	+	4.32391i	−0.0850775	+	0.147359i
$862$	24.1518	+	24.7581i	0.822615	+	0.843264i
$863$	9.00202	−	9.00202i	0.306432	−	0.306432i	−0.537092	−	0.843524i	$-0.680477\pi$
$863$	9.00202	−	9.00202i	0.306432	−	0.306432i	0.843524	+	0.537092i	$0.180477\pi$
$864$	9.55336	−	14.4058i	0.325012	−	0.490096i
$865$	−6.23571	+	9.53310i	−0.212020	+	0.324135i
$866$	28.3547	−	47.7355i	0.963533	−	1.62212i
$867$	−7.13487	−	12.3580i	−0.242313	−	0.419698i
$868$	−0.406360	+	16.3895i	−0.0137928	+	0.556295i
$869$	−30.0502	+	8.05193i	−1.01938	+	0.273143i
$870$	−3.73473	−	0.254563i	−0.126619	−	0.00863050i
$871$	14.5019	−	6.59567i	0.491380	−	0.223486i
$872$	17.7009	−	16.4312i	0.599429	−	0.556431i
$873$	−15.8880	+	4.25718i	−0.537727	+	0.144084i
$874$	21.7519	+	6.11835i	0.735771	+	0.206956i
$875$	−18.5061	+	40.4816i	−0.625621	+	1.36853i
$876$	−3.44577	−	1.01547i	−0.116422	−	0.0343096i
$877$	−7.80946	+	29.1453i	−0.263707	+	0.984166i	0.699331	+	0.714798i	$0.253481\pi$
$877$	−7.80946	+	29.1453i	−0.263707	+	0.984166i	−0.963037	+	0.269368i	$0.913185\pi$
$878$	−41.0975	−	0.509407i	−1.38697	−	0.0171917i
$879$	−5.39011	+	5.39011i	−0.181804	+	0.181804i
$880$	−17.1581	−	6.59659i	−0.578398	−	0.222371i
$881$	−37.9388	−	21.9040i	−1.27819	−	0.737964i	−0.301675	−	0.953411i	$-0.597546\pi$
$881$	−37.9388	−	21.9040i	−1.27819	−	0.737964i	−0.976516	+	0.215447i	$0.930879\pi$
$882$	−29.6250	+	16.6179i	−0.997526	+	0.559553i
$883$			26.8681i			0.904184i	0.891971	+	0.452092i	$0.149322\pi$
$883$			26.8681i			0.904184i	−0.891971	+	0.452092i	$0.850678\pi$
$884$	6.66305	+	47.1928i	0.224103	+	1.58726i
$885$	−13.3114	−	4.37378i	−0.447458	−	0.147023i
$886$	−18.8386	−	33.5839i	−0.632894	−	1.12827i
$887$	9.37571	−	16.2392i	0.314806	−	0.545259i	−0.664591	−	0.747208i	$-0.731394\pi$
$887$	9.37571	−	16.2392i	0.314806	−	0.545259i	0.979396	+	0.201948i	$0.0647273\pi$
$888$	−2.58127	−	0.795604i	−0.0866218	−	0.0266987i
$889$	46.1141	−	46.1141i	1.54662	−	1.54662i
$890$	0.241606	−	0.705702i	0.00809867	−	0.0236552i
$891$	−12.9195	−	3.46177i	−0.432820	−	0.115974i
$892$	−15.7588	−	4.64413i	−0.527644	−	0.155497i
$893$	5.71481	−	3.29945i	0.191239	−	0.110412i
$894$	6.72643	+	1.89200i	0.224965	+	0.0632779i
$895$	−17.0934	−	0.952428i	−0.571370	−	0.0318362i
$896$	44.3538	−	7.84388i	1.48176	−	0.262046i
$897$	7.73138	+	9.39338i	0.258143	+	0.313636i
$898$	−0.517506	+	0.131813i	−0.0172694	+	0.00439866i
$899$	−4.40246	+	1.17964i	−0.146830	+	0.0393430i
$900$	16.6339	−	21.4453i	0.554463	−	0.714845i
$901$	−40.6386	+	23.4627i	−1.35387	+	0.781657i
$902$	−5.86024	−	3.48096i	−0.195125	−	0.115903i
$903$	7.91598	+	2.12108i	0.263427	+	0.0705852i
$904$	33.7340	−	17.8383i	1.12198	−	0.593293i
$905$	−12.9469	+	6.54301i	−0.430369	+	0.217497i
$906$	3.90585	−	3.81021i	0.129763	−	0.126586i
$907$	−41.6430	−	24.0426i	−1.38273	−	0.798321i	−0.390250	−	0.920709i	$-0.627612\pi$
$907$	−41.6430	−	24.0426i	−1.38273	−	0.798321i	−0.992482	+	0.122388i	$0.960945\pi$
$908$	3.42246	−	3.25685i	0.113578	−	0.108082i
$909$			38.8409i			1.28827i
$910$	−28.8381	+	35.0549i	−0.955975	+	1.16206i
$911$		−	22.4591i		−	0.744104i	−0.928212	−	0.372052i	$-0.878654\pi$
$911$		−	22.4591i		−	0.744104i	0.928212	−	0.372052i	$-0.121346\pi$
$912$	−1.65954	+	5.15632i	−0.0549530	+	0.170743i
$913$	22.7081	+	13.1105i	0.751528	+	0.433895i
$914$	−25.9414	−	26.5926i	−0.858067	−	0.879605i
$915$	−1.39683	−	2.76396i	−0.0461779	−	0.0913738i
$916$	4.88667	−	1.18038i	0.161460	−	0.0390008i
$917$	−35.2970	−	9.45780i	−1.16561	−	0.312324i
$918$	−14.5864	+	24.5564i	−0.481422	+	0.810481i
$919$	19.5568	−	11.2911i	0.645118	−	0.372459i	−0.141465	−	0.989943i	$-0.545181\pi$
$919$	19.5568	−	11.2911i	0.645118	−	0.372459i	0.786583	+	0.617484i	$0.211848\pi$
$920$	3.69971	−	39.7338i	0.121976	−	1.30998i
$921$	−7.92183	+	2.12265i	−0.261033	+	0.0699436i
$922$	5.33816	+	20.9579i	0.175803	+	0.690213i
$923$	−49.0709	−	4.76246i	−1.61519	−	0.156758i
$924$	4.18643	+	7.68493i	0.137723	+	0.252816i
$925$	−8.31450	−	3.25479i	−0.273379	−	0.107017i
$926$	−0.583068	+	2.07292i	−0.0191608	+	0.0681205i
$927$	36.5073	−	21.0775i	1.19906	−	0.692276i
$928$	5.57733	+	11.2112i	0.183085	+	0.368027i
$929$	−30.6393	−	8.20978i	−1.00524	−	0.269354i	−0.281603	−	0.959531i	$-0.590866\pi$
$929$	−30.6393	−	8.20978i	−1.00524	−	0.269354i	−0.723641	+	0.690177i	$0.757533\pi$
$930$	−1.12783	+	3.29425i	−0.0369830	+	0.108023i
$931$	15.8466	−	15.8466i	0.519350	−	0.519350i
$932$	−1.04186	+	1.70548i	−0.0341272	+	0.0558648i
$933$	−0.916229	+	1.58695i	−0.0299960	+	0.0519546i
$934$	−5.41152	+	3.03554i	−0.177070	+	0.0993260i
$935$	28.8563	+	9.48142i	0.943702	+	0.310076i
$936$	22.0092	−	16.7824i	0.719392	−	0.548550i
$937$		−	29.2428i		−	0.955322i	−0.878544	−	0.477661i	$-0.841485\pi$
$937$		−	29.2428i		−	0.955322i	0.878544	−	0.477661i	$-0.158515\pi$
$938$	12.1709	+	21.6972i	0.397393	+	0.708439i
$939$	−6.27374	−	3.62215i	−0.204736	−	0.118204i
$940$	−7.55169	−	8.87618i	−0.246309	−	0.289509i
$941$	10.8205	−	10.8205i	0.352738	−	0.352738i	−0.508390	−	0.861127i	$-0.669759\pi$
$941$	10.8205	−	10.8205i	0.352738	−	0.352738i	0.861127	+	0.508390i	$0.169759\pi$
$942$	−0.0251467	+	2.02877i	−0.000819325	+	0.0661008i
$943$	3.82970	−	14.2926i	0.124712	−	0.465432i
$944$	9.87226	+	45.8182i	0.321315	+	1.49125i
$945$	−26.6266	+	5.56784i	−0.866163	+	0.181122i
$946$	−3.02938	+	10.7700i	−0.0984937	+	0.350164i
$947$	17.5633	−	4.70606i	0.570729	−	0.152926i	0.0380982	−	0.999274i	$-0.487870\pi$
$947$	17.5633	−	4.70606i	0.570729	−	0.152926i	0.532631	+	0.846348i	$0.321203\pi$
$948$	14.2172	−	7.74495i	0.461754	−	0.251544i
$949$	−9.85359	−	7.03975i	−0.319861	−	0.228520i
$950$	−6.73333	+	16.5918i	−0.218458	+	0.538308i
$951$	13.6640	−	3.66125i	0.443085	−	0.118724i
$952$	−72.5552	+	16.5768i	−2.35153	+	0.537257i
$953$	−11.2070	−	19.4111i	−0.363031	−	0.628788i	0.625427	−	0.780283i	$-0.284925\pi$
$953$	−11.2070	−	19.4111i	−0.363031	−	0.628788i	−0.988458	+	0.151495i	$0.951591\pi$
$954$	23.4290	+	13.9168i	0.758543	+	0.450572i
$955$	2.68517	+	1.75640i	0.0868902	+	0.0568359i
$956$	−46.7194	+	11.2851i	−1.51101	+	0.364986i
$957$	−1.72032	+	1.72032i	−0.0556099	+	0.0556099i
$958$	−16.1348	+	15.7397i	−0.521291	+	0.508527i
$959$	−28.0375	+	48.5624i	−0.905378	+	1.56816i
$960$	9.48555	+	1.24039i	0.306145	+	0.0400333i
$961$		−	26.7605i		−	0.863243i
$962$	−7.34291	−	5.38473i	−0.236745	−	0.173611i
$963$	35.9896			1.15975
$964$	−30.5690	−	32.1234i	−0.984562	−	1.03463i
$965$	−32.1270	+	28.7358i	−1.03420	+	0.925038i
$966$	−13.5989	+	13.2659i	−0.437537	+	0.426823i
$967$	−30.7076	+	30.7076i	−0.987490	+	0.987490i	−0.999923	−	0.0124323i	$-0.996043\pi$
$967$	−30.7076	+	30.7076i	−0.987490	+	0.987490i	0.0124323	+	0.999923i	$0.496043\pi$
$968$	16.9427	−	8.95917i	0.544559	−	0.287959i
$969$	2.31653	−	8.64542i	0.0744178	−	0.277731i
$970$	−12.5989	−	14.4420i	−0.404526	−	0.463705i
$971$	−23.0776	+	13.3239i	−0.740595	+	0.427583i	−0.822286	−	0.569075i	$-0.807301\pi$
$971$	−23.0776	+	13.3239i	−0.740595	+	0.427583i	0.0816904	+	0.996658i	$0.473968\pi$
$972$	25.2870	+	0.626965i	0.811080	+	0.0201099i
$973$	−2.76247	−	10.3097i	−0.0885606	−	0.330513i
$974$	3.35662	+	13.1783i	0.107553	+	0.422260i
$975$	−8.07823	+	5.26178i	−0.258710	+	0.168512i
$976$	−5.61787	+	8.70368i	−0.179824	+	0.278598i
$977$	−35.1455	+	9.41721i	−1.12440	+	0.301283i	−0.772665	−	0.634815i	$-0.781076\pi$
$977$	−35.1455	+	9.41721i	−1.12440	+	0.301283i	−0.351740	+	0.936098i	$0.614410\pi$
$978$	−2.88069	+	10.2414i	−0.0921142	+	0.327484i
$979$	−0.242391	−	0.419834i	−0.00774686	−	0.0134180i
$980$	−32.5742	−	22.4794i	−1.04055	−	0.718078i
$981$	22.3852	+	5.99809i	0.714703	+	0.191504i
$982$	−28.5447	−	0.353814i	−0.910899	−	0.0112907i
$983$	0.00328104	+	0.00328104i	0.000104649	+	0.000104649i	0.707159	−	0.707054i	$-0.249976\pi$
$983$	0.00328104	+	0.00328104i	0.000104649	+	0.000104649i	−0.707054	+	0.707159i	$0.749976\pi$
$984$	3.38978	+	1.04480i	0.108062	+	0.0333072i
$985$	23.8102	+	26.6201i	0.758657	+	0.848188i
$986$	−10.1224	−	18.0453i	−0.322362	−	0.574681i
$987$			5.54805i			0.176596i
$988$	−10.9802	+	14.5905i	−0.349328	+	0.464186i
$989$	−24.2875			−0.772298
$990$	−3.39608	−	17.3088i	−0.107934	−	0.550111i
$991$	33.9682	+	19.6115i	1.07903	+	0.622981i	0.930636	−	0.365947i	$-0.119255\pi$
$991$	33.9682	+	19.6115i	1.07903	+	0.622981i	0.148398	+	0.988928i	$0.452588\pi$
$992$	11.4157	−	2.31202i	0.362448	−	0.0734066i
$993$	−6.20446	−	6.20446i	−0.196892	−	0.196892i
$994$	0.954184	−	76.9809i	0.0302649	−	2.44168i
$995$	0.161157	−	0.246375i	0.00510902	−	0.00781063i
$996$	−13.0890	−	3.85735i	−0.414741	−	0.122225i
$997$	40.4842	−	23.3736i	1.28215	−	0.740249i	0.304908	−	0.952382i	$-0.401374\pi$
$997$	40.4842	−	23.3736i	1.28215	−	0.740249i	0.977241	+	0.212133i	$0.0680411\pi$
$998$	−1.28763	+	4.57779i	−0.0407594	+	0.144908i
$999$	−1.41232	−	5.27086i	−0.0446839	−	0.166762i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bc.c.19.13	✓	144
4.3	odd	2	inner	260.2.bc.c.19.19	yes	144
5.4	even	2	inner	260.2.bc.c.19.24	yes	144
13.11	odd	12	inner	260.2.bc.c.219.18	yes	144
20.19	odd	2	inner	260.2.bc.c.19.18	yes	144
52.11	even	12	inner	260.2.bc.c.219.24	yes	144
65.24	odd	12	inner	260.2.bc.c.219.19	yes	144
260.219	even	12	inner	260.2.bc.c.219.13	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bc.c.19.13	✓	144	1.1	even	1	trivial
260.2.bc.c.19.18	yes	144	20.19	odd	2	inner
260.2.bc.c.19.19	yes	144	4.3	odd	2	inner
260.2.bc.c.19.24	yes	144	5.4	even	2	inner
260.2.bc.c.219.13	yes	144	260.219	even	12	inner
260.2.bc.c.219.18	yes	144	13.11	odd	12	inner
260.2.bc.c.219.19	yes	144	65.24	odd	12	inner
260.2.bc.c.219.24	yes	144	52.11	even	12	inner

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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.691873 - 1.23341i) q^{2} +(-0.267386 + 0.463127i) q^{3} +(-1.04262 + 1.70673i) q^{4} +(-1.00857 - 1.99569i) q^{5} +(0.756225 + 0.00937347i) q^{6} +(-1.03041 + 3.84553i) q^{7} +(2.82647 + 0.105146i) q^{8} +(1.35701 + 2.35041i) q^{9} +O(q^{10})\)	\(q+(-0.691873 - 1.23341i) q^{2} +(-0.267386 + 0.463127i) q^{3} +(-1.04262 + 1.70673i) q^{4} +(-1.00857 - 1.99569i) q^{5} +(0.756225 + 0.00937347i) q^{6} +(-1.03041 + 3.84553i) q^{7} +(2.82647 + 0.105146i) q^{8} +(1.35701 + 2.35041i) q^{9} +(-1.76371 + 2.62475i) q^{10} +(0.531930 + 1.98519i) q^{11} +(-0.511650 - 0.939224i) q^{12} +(-0.592397 - 3.55655i) q^{13} +(5.45605 - 1.38970i) q^{14} +(1.19394 + 0.0665249i) q^{15} +(-1.82587 - 3.55896i) q^{16} +(3.30468 + 5.72388i) q^{17} +(1.96015 - 3.29994i) q^{18} +(-0.655404 + 2.44600i) q^{19} +(4.45767 + 0.359397i) q^{20} +(-1.50545 - 1.50545i) q^{21} +(2.08053 - 2.02959i) q^{22} +(5.46431 + 3.15482i) q^{23} +(-0.804456 + 1.28090i) q^{24} +(-2.96557 + 4.02559i) q^{25} +(-3.97684 + 3.19135i) q^{26} -3.05570 q^{27} +(-5.48897 - 5.76807i) q^{28} +(1.10679 - 1.91702i) q^{29} +(-0.743999 - 1.51865i) q^{30} +(-1.45593 - 1.45593i) q^{31} +(-3.12640 + 4.71440i) q^{32} +(-1.06162 - 0.284462i) q^{33} +(4.77350 - 8.03624i) q^{34} +(8.71374 - 1.82211i) q^{35} +(-5.42637 - 0.134541i) q^{36} +(0.462192 + 1.72492i) q^{37} +(3.47039 - 0.883937i) q^{38} +(1.80553 + 0.676619i) q^{39} +(-2.64086 - 5.74681i) q^{40} +(-0.606961 - 2.26521i) q^{41} +(-0.815266 + 2.89843i) q^{42} +(-3.33357 + 1.92464i) q^{43} +(-3.94279 - 1.16194i) q^{44} +(3.32205 - 5.07872i) q^{45} +(0.110595 - 8.92249i) q^{46} +(-1.84265 - 1.84265i) q^{47} +(2.13646 + 0.106008i) q^{48} +(-7.66421 - 4.42493i) q^{49} +(7.01702 + 0.872584i) q^{50} -3.53451 q^{51} +(6.68773 + 2.69708i) q^{52} +7.09984i q^{53} +(2.11416 + 3.76895i) q^{54} +(3.42534 - 3.06377i) q^{55} +(-3.31676 + 10.7609i) q^{56} +(-0.957563 - 0.957563i) q^{57} +(-3.13024 - 0.0387996i) q^{58} +(-11.3182 - 3.03269i) q^{59} +(-1.35837 + 1.96837i) q^{60} +(-1.29491 - 2.24285i) q^{61} +(-0.788447 + 2.80308i) q^{62} +(-10.4368 + 2.79654i) q^{63} +(7.97789 + 0.594385i) q^{64} +(-6.50031 + 4.76928i) q^{65} +(0.383650 + 1.50623i) q^{66} +(1.14361 + 4.26801i) q^{67} +(-13.2147 - 0.327644i) q^{68} +(-2.92216 + 1.68711i) q^{69} +(-8.27622 - 9.48698i) q^{70} +(3.53903 - 13.2078i) q^{71} +(3.58841 + 6.78605i) q^{72} +(2.37496 - 2.37496i) q^{73} +(1.80777 - 1.76350i) q^{74} +(-1.07141 - 2.44982i) q^{75} +(-3.49133 - 3.66886i) q^{76} -8.18221 q^{77} +(-0.414648 - 2.69511i) q^{78} +15.1372i q^{79} +(-5.26107 + 7.23334i) q^{80} +(-3.25397 + 5.63605i) q^{81} +(-2.37400 + 2.31587i) q^{82} +(9.02147 - 9.02147i) q^{83} +(4.13903 - 0.999784i) q^{84} +(8.09010 - 12.3681i) q^{85} +(4.68028 + 2.78007i) q^{86} +(0.591882 + 1.02517i) q^{87} +(1.29475 + 5.66701i) q^{88} +(-0.227842 + 0.0610500i) q^{89} +(-8.56261 - 0.583637i) q^{90} +(14.2873 + 1.38662i) q^{91} +(-11.0816 + 6.03682i) q^{92} +(1.06358 - 0.284984i) q^{93} +(-0.997873 + 3.54763i) q^{94} +(5.54249 - 1.15898i) q^{95} +(-1.34741 - 2.70849i) q^{96} +(-1.56859 + 5.85405i) q^{97} +(-0.155120 + 12.5146i) q^{98} +(-3.94417 + 3.94417i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9}+O(q^{10}) \) 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9	\( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9} - 12 q^{10} - 32 q^{14} - 36 q^{16} + 18 q^{20} + 8 q^{21} - 28 q^{24} + 28 q^{26} - 6 q^{30} + 16 q^{34} + 24 q^{36} - 88 q^{40} - 72 q^{41} + 68 q^{45} + 64 q^{46} - 24 q^{49} - 34 q^{50} + 80 q^{54} + 96 q^{56} - 48 q^{60} - 8 q^{61} + 40 q^{66} - 24 q^{69} - 80 q^{70} - 24 q^{74} - 28 q^{76} - 92 q^{80} - 8 q^{81} + 84 q^{84} + 20 q^{85} - 52 q^{86} - 104 q^{89} - 52 q^{94} - 124 q^{96}+O(q^{100}) \) 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9 - 12 * q^10 - 32 * q^14 - 36 * q^16 + 18 * q^20 + 8 * q^21 - 28 * q^24 + 28 * q^26 - 6 * q^30 + 16 * q^34 + 24 * q^36 - 88 * q^40 - 72 * q^41 + 68 * q^45 + 64 * q^46 - 24 * q^49 - 34 * q^50 + 80 * q^54 + 96 * q^56 - 48 * q^60 - 8 * q^61 + 40 * q^66 - 24 * q^69 - 80 * q^70 - 24 * q^74 - 28 * q^76 - 92 * q^80 - 8 * q^81 + 84 * q^84 + 20 * q^85 - 52 * q^86 - 104 * q^89 - 52 * q^94 - 124 * q^96

Introduction

L-functions

Modular forms

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Database

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