LMFDB - Embedded newform 260.2.bc.c.19.19

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			19.19
Character	$\chi$	$=$	260.19
Dual form			260.2.bc.c.219.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0175279 + 1.41410i) q^{2} +(0.267386 - 0.463127i) q^{3} +(-1.99939 + 0.0495727i) q^{4} +(-1.00857 - 1.99569i) q^{5} +(0.659597 + 0.369995i) q^{6} +(1.03041 - 3.84553i) q^{7} +(-0.105146 - 2.82647i) q^{8} +(1.35701 + 2.35041i) q^{9} +O(q^{10})$	\(q+(0.0175279 + 1.41410i) q^{2} +(0.267386 - 0.463127i) q^{3} +(-1.99939 + 0.0495727i) q^{4} +(-1.00857 - 1.99569i) q^{5} +(0.659597 + 0.369995i) q^{6} +(1.03041 - 3.84553i) q^{7} +(-0.105146 - 2.82647i) q^{8} +(1.35701 + 2.35041i) q^{9} +(2.80444 - 1.46120i) 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} +(3.99509 - 0.198230i) q^{16} +(3.30468 + 5.72388i) q^{17} +(-3.29994 + 1.96015i) q^{18} +(0.655404 - 2.44600i) q^{19} +(2.11545 + 3.94016i) q^{20} +(-1.50545 - 1.50545i) q^{21} +(2.79794 - 0.787001i) q^{22} +(-5.46431 - 3.15482i) q^{23} +(-1.33713 - 0.707064i) q^{24} +(-2.96557 + 4.02559i) q^{25} +(5.01895 - 0.900051i) q^{26} +3.05570 q^{27} +(-1.86955 + 7.73978i) q^{28} +(1.10679 - 1.91702i) q^{29} +(0.0731460 - 1.68952i) q^{30} +(1.45593 + 1.45593i) q^{31} +(0.350344 + 5.64599i) q^{32} +(-1.06162 - 0.284462i) q^{33} +(-8.03624 + 4.77350i) q^{34} +(-8.71374 + 1.82211i) q^{35} +(-2.82970 - 4.63210i) q^{36} +(0.462192 + 1.72492i) q^{37} +(3.47039 + 0.883937i) q^{38} +(-1.80553 - 0.676619i) q^{39} +(-5.53472 + 3.06053i) q^{40} +(-0.606961 - 2.26521i) q^{41} +(2.10248 - 2.15526i) q^{42} +(3.33357 - 1.92464i) q^{43} +(1.16194 + 3.94279i) q^{44} +(3.32205 - 5.07872i) q^{45} +(4.36547 - 7.78240i) q^{46} +(1.84265 + 1.84265i) q^{47} +(0.976426 - 1.90324i) q^{48} +(-7.66421 - 4.42493i) q^{49} +(-5.74459 - 4.12307i) q^{50} +3.53451 q^{51} +(1.36074 + 7.08155i) q^{52} +7.09984i q^{53} +(0.0535602 + 4.32108i) q^{54} +(-3.42534 + 3.06377i) q^{55} +(-10.9776 - 2.50808i) q^{56} +(-0.957563 - 0.957563i) q^{57} +(2.73027 + 1.53152i) q^{58} +(11.3182 + 3.03269i) q^{59} +(2.39044 + 0.0738223i) q^{60} +(-1.29491 - 2.24285i) q^{61} +(-2.03332 + 2.08436i) 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} +(-6.89109 - 11.2804i) q^{68} +(-2.92216 + 1.68711i) q^{69} +(-2.72939 - 12.2902i) q^{70} +(-3.53903 + 13.2078i) q^{71} +(6.50068 - 4.08268i) q^{72} +(2.37496 - 2.37496i) q^{73} +(-2.43112 + 0.683823i) q^{74} +(1.07141 + 2.44982i) q^{75} +(-1.18915 + 4.92299i) q^{76} -8.18221 q^{77} +(0.925163 - 2.56507i) q^{78} -15.1372i q^{79} +(-4.42493 - 7.77303i) q^{80} +(-3.25397 + 5.63605i) q^{81} +(3.19260 - 0.898011i) q^{82} +(-9.02147 + 9.02147i) q^{83} +(3.08461 + 2.93535i) q^{84} +(8.09010 - 12.3681i) q^{85} +(2.78007 + 4.68028i) q^{86} +(-0.591882 - 1.02517i) q^{87} +(-5.55515 + 1.71222i) q^{88} +(-0.227842 + 0.0610500i) q^{89} +(7.24008 + 4.60871i) q^{90} +(-14.2873 - 1.38662i) q^{91} +(11.0816 + 6.03682i) q^{92} +(1.06358 - 0.284984i) q^{93} +(-2.57340 + 2.63800i) q^{94} +(-5.54249 + 1.15898i) q^{95} +(2.70849 + 1.34741i) q^{96} +(-1.56859 + 5.85405i) q^{97} +(6.12298 - 10.9156i) 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 $

$2$	0.0175279	+	1.41410i	0.0123941	+	0.999923i
$2$	0.0175279	+	1.41410i	0.0123941	+	0.999923i
$3$	0.267386	−	0.463127i	0.154376	−	0.267386i	−0.778456	−	0.627699i	$-0.783997\pi$
$3$	0.267386	−	0.463127i	0.154376	−	0.267386i	0.932832	+	0.360313i	$0.117330\pi$
$4$	−1.99939	+	0.0495727i	−0.999693	+	0.0247864i
$5$	−1.00857	−	1.99569i	−0.451046	−	0.892501i
$5$	−1.00857	−	1.99569i	−0.451046	−	0.892501i
$6$	0.659597	+	0.369995i	0.269279	+	0.151050i
$7$	1.03041	−	3.84553i	0.389457	−	1.45347i	−0.441562	−	0.897231i	$-0.645575\pi$
$7$	1.03041	−	3.84553i	0.389457	−	1.45347i	0.831019	−	0.556244i	$-0.187758\pi$
$8$	−0.105146	−	2.82647i	−0.0371748	−	0.999309i
$9$	1.35701	+	2.35041i	0.452336	+	0.783470i
$10$	2.80444	−	1.46120i	0.886842	−	0.462073i
$11$	−0.531930	−	1.98519i	−0.160383	−	0.598557i	−0.998584	−	0.0531958i	$-0.983059\pi$
$11$	−0.531930	−	1.98519i	−0.160383	−	0.598557i	0.838201	−	0.545361i	$-0.183607\pi$
$12$	−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
$16$	3.99509	−	0.198230i	0.998771	−	0.0495575i
$17$	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	$0.537367\pi$
$18$	−3.29994	+	1.96015i	−0.777803	+	0.462012i
$19$	0.655404	−	2.44600i	0.150360	−	0.561151i	−0.849098	−	0.528235i	$-0.822854\pi$
$19$	0.655404	−	2.44600i	0.150360	−	0.561151i	0.999458	−	0.0329162i	$-0.0104794\pi$
$20$	2.11545	+	3.94016i	0.473030	+	0.881047i
$21$	−1.50545	−	1.50545i	−0.328517	−	0.328517i
$22$	2.79794	−	0.787001i	0.596523	−	0.167789i
$23$	−5.46431	−	3.15482i	−1.13939	−	0.657825i	−0.193108	−	0.981178i	$-0.561857\pi$
$23$	−5.46431	−	3.15482i	−1.13939	−	0.657825i	−0.946279	+	0.323352i	$0.895190\pi$
$24$	−1.33713	−	0.707064i	−0.272940	−	0.144329i
$25$	−2.96557	+	4.02559i	−0.593114	+	0.805118i
$26$	5.01895	−	0.900051i	0.984298	−	0.176514i
$27$	3.05570			0.588070
$28$	−1.86955	+	7.73978i	−0.353311	+	1.46268i
$29$	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	$0.100776\pi$
$30$	0.0731460	−	1.68952i	0.0133546	−	0.308462i
$31$	1.45593	+	1.45593i	0.261493	+	0.261493i	0.825660	−	0.564168i	$-0.190803\pi$
$31$	1.45593	+	1.45593i	0.261493	+	0.261493i	−0.564168	+	0.825660i	$0.690803\pi$
$32$	0.350344	+	5.64599i	0.0619326	+	0.998080i
$33$	−1.06162	−	0.284462i	−0.184805	−	0.0495184i
$34$	−8.03624	+	4.77350i	−1.37820	+	0.818648i
$35$	−8.71374	+	1.82211i	−1.47289	+	0.307994i
$36$	−2.82970	−	4.63210i	−0.471617	−	0.772017i
$37$	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
$40$	−5.53472	+	3.06053i	−0.875116	+	0.483913i
$41$	−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	$0.975287\pi$
$42$	2.10248	−	2.15526i	0.324420	−	0.332563i
$43$	3.33357	−	1.92464i	0.508365	−	0.293504i	−0.223797	−	0.974636i	$-0.571845\pi$
$43$	3.33357	−	1.92464i	0.508365	−	0.293504i	0.732161	+	0.681131i	$0.238512\pi$
$44$	1.16194	+	3.94279i	0.175170	+	0.594398i
$45$	3.32205	−	5.07872i	0.495222	−	0.757091i
$46$	4.36547	−	7.78240i	0.643653	−	1.14745i
$47$	1.84265	+	1.84265i	0.268778	+	0.268778i	0.828608	−	0.559829i	$-0.189133\pi$
$47$	1.84265	+	1.84265i	0.268778	+	0.268778i	−0.559829	+	0.828608i	$0.689133\pi$
$48$	0.976426	−	1.90324i	0.140935	−	0.274708i
$49$	−7.66421	−	4.42493i	−1.09489	−	0.632133i
$50$	−5.74459	−	4.12307i	−0.812407	−	0.583090i
$51$	3.53451			0.494931
$52$	1.36074	+	7.08155i	0.188700	+	0.982035i
$53$			7.09984i			0.975238i	0.873057	+	0.487619i	$0.162134\pi$
$53$			7.09984i			0.975238i	−0.873057	+	0.487619i	$0.837866\pi$
$54$	0.0535602	+	4.32108i	0.00728862	+	0.588025i
$55$	−3.42534	+	3.06377i	−0.461872	+	0.413119i
$56$	−10.9776	−	2.50808i	−1.46695	−	0.335156i
$57$	−0.957563	−	0.957563i	−0.126832	−	0.126832i
$58$	2.73027	+	1.53152i	0.358502	+	0.201098i
$59$	11.3182	+	3.03269i	1.47350	+	0.394823i	0.904129	−	0.427259i	$-0.140521\pi$
$59$	11.3182	+	3.03269i	1.47350	+	0.394823i	0.569369	+	0.822082i	$0.307187\pi$
$60$	2.39044	+	0.0738223i	0.308604	+	0.00953042i
$61$	−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	$0.886353\pi$
$62$	−2.03332	+	2.08436i	−0.258232	+	0.264714i
$63$	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	$-0.996340\pi$
$67$	−1.14361	−	4.26801i	−0.139714	−	0.521421i	0.860220	−	0.509924i	$-0.170326\pi$
$68$	−6.89109	−	11.2804i	−0.835667	−	1.36795i
$69$	−2.92216	+	1.68711i	−0.351787	+	0.203104i
$70$	−2.72939	−	12.2902i	−0.326225	−	1.46896i
$71$	−3.53903	+	13.2078i	−0.420006	+	1.56748i	0.354587	+	0.935023i	$0.384622\pi$
$71$	−3.53903	+	13.2078i	−0.420006	+	1.56748i	−0.774593	+	0.632460i	$0.782045\pi$
$72$	6.50068	−	4.08268i	0.766112	−	0.481149i
$73$	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	$0.187025\pi$
$74$	−2.43112	+	0.683823i	−0.282612	+	0.0794928i
$75$	1.07141	+	2.44982i	0.123715	+	0.282881i
$76$	−1.18915	+	4.92299i	−0.136405	+	0.564706i
$77$	−8.18221			−0.932449
$78$	0.925163	−	2.56507i	0.104754	−	0.290437i
$79$		−	15.1372i		−	1.70307i	−0.524299	−	0.851534i	$-0.675672\pi$
$79$		−	15.1372i		−	1.70307i	0.524299	−	0.851534i	$-0.324328\pi$
$80$	−4.42493	−	7.77303i	−0.494722	−	0.869051i
$81$	−3.25397	+	5.63605i	−0.361553	+	0.626228i
$82$	3.19260	−	0.898011i	0.352564	−	0.0991687i
$83$	−9.02147	+	9.02147i	−0.990235	+	0.990235i	−0.999953	−	0.00971824i	$-0.996907\pi$
$83$	−9.02147	+	9.02147i	−0.990235	+	0.990235i	0.00971824	+	0.999953i	$0.496907\pi$
$84$	3.08461	+	2.93535i	0.336559	+	0.320273i
$85$	8.09010	−	12.3681i	0.877494	−	1.34151i
$86$	2.78007	+	4.68028i	0.299783	+	0.504688i
$87$	−0.591882	−	1.02517i	−0.0634564	−	0.109910i
$88$	−5.55515	+	1.71222i	−0.592181	+	0.182523i
$89$	−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	$0.420646\pi$
$90$	7.24008	+	4.60871i	0.763171	+	0.485801i
$91$	−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
$94$	−2.57340	+	2.63800i	−0.265426	+	0.272089i
$95$	−5.54249	+	1.15898i	−0.568647	+	0.118909i
$96$	2.70849	+	1.34741i	0.276434	+	0.137519i
$97$	−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	$0.983781\pi$
$98$	6.12298	−	10.9156i	0.618514	−	1.10264i
$99$	3.94417	−	3.94417i	0.396404	−	0.396404i
$100$	5.72976	−	8.19572i	0.572976	−	0.819572i
$101$	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	$0.414452\pi$
$102$	0.0619527	+	4.99817i	0.00613423	+	0.494892i
$103$			15.5323i			1.53045i	0.643765	+	0.765223i	$0.277371\pi$
$103$			15.5323i			1.53045i	−0.643765	+	0.765223i	$0.722629\pi$
$104$	−9.99021	+	2.04835i	−0.979620	+	0.200857i
$105$	−1.48607	+	4.52277i	−0.145025	+	0.441378i
$106$	−10.0399	+	0.124446i	−0.975163	+	0.0120872i
$107$	−6.63031	+	11.4840i	−0.640976	+	1.11020i	0.344239	+	0.938882i	$0.388137\pi$
$107$	−6.63031	+	11.4840i	−0.640976	+	1.11020i	−0.985215	+	0.171321i	$0.945196\pi$
$108$	−6.10953	+	0.151479i	−0.587889	+	0.0145761i
$109$	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	$0.115898\pi$
$110$	−4.39253	−	4.79008i	−0.418811	−	0.456716i
$111$	0.922443	+	0.247168i	0.0875544	+	0.0234601i
$112$	3.35427	−	15.5675i	0.316948	−	1.47099i
$113$	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	$0.114502\pi$
$114$	1.33731	−	1.37088i	0.125251	−	0.128395i
$115$	−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
$120$	−0.0624931	+	3.38162i	−0.00570481	+	0.308699i
$121$	5.86826	−	3.38804i	0.533478	−	0.308004i
$122$	3.14893	−	1.87045i	0.285090	−	0.169343i
$123$	−1.21137	−	0.324586i	−0.109226	−	0.0292669i
$124$	−2.98314	−	2.83879i	−0.267894	−	0.254931i
$125$	11.0248	+	1.85828i	0.986090	+	0.166209i
$126$	4.13754	+	14.7098i	0.368602	+	1.31045i
$127$	14.1862	+	8.19042i	1.25882	+	0.726782i	0.972846	−	0.231454i	$-0.0743484\pi$
$127$	14.1862	+	8.19042i	1.25882	+	0.726782i	0.285977	+	0.958236i	$0.407682\pi$
$128$	−0.980359	−	11.2712i	−0.0866523	−	0.996239i
$129$		−	2.05849i		−	0.181240i
$130$	−6.85819	−	9.10852i	−0.601503	−	0.798870i
$131$		−	9.17870i		−	0.801947i	−0.916090	−	0.400973i	$-0.868672\pi$
$131$		−	9.17870i		−	0.801947i	0.916090	−	0.400973i	$-0.131328\pi$
$132$	2.13670	+	0.516121i	0.185976	+	0.0449225i
$133$	−8.73085	−	5.04076i	−0.757061	−	0.437089i
$134$	6.01538	−	1.69200i	0.519649	−	0.146166i
$135$	−3.08189	−	6.09824i	−0.265247	−	0.524853i
$136$	15.8309	−	9.94244i	1.35749	−	0.852557i
$137$	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	$0.377831\pi$
$138$	−2.43697	−	4.10267i	−0.207449	−	0.349243i
$139$	2.32177	−	1.34047i	0.196930	−	0.113697i	−0.398293	−	0.917258i	$-0.630397\pi$
$139$	2.32177	−	1.34047i	0.196930	−	0.113697i	0.595223	+	0.803561i	$0.297064\pi$
$140$	17.3318	−	4.07507i	1.46480	−	0.344406i
$141$	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
$146$	3.40007	+	3.31681i	0.281392	+	0.274501i
$147$	−4.09861	+	2.36633i	−0.338048	+	0.195172i
$148$	−1.00961	−	3.42588i	−0.0829894	−	0.281605i
$149$	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	$0.459790\pi$
$150$	−3.44553	+	1.55802i	−0.281326	+	0.127212i
$151$	−5.10169	+	5.10169i	−0.415170	+	0.415170i	−0.883535	−	0.468365i	$-0.844843\pi$
$151$	−5.10169	+	5.10169i	−0.415170	+	0.415170i	0.468365	+	0.883535i	$0.344843\pi$
$152$	−6.98247	−	1.59529i	−0.566353	−	0.129395i
$153$	−8.96897	+	15.5347i	−0.725098	+	1.25591i
$154$	−0.143417	−	11.5705i	−0.0115569	−	0.932378i
$155$	1.43718	−	4.37400i	0.115437	−	0.351328i
$156$	3.64350	+	1.26332i	0.291714	+	0.101146i
$157$			2.68276i			0.214107i	0.994253	+	0.107054i	$0.0341416\pi$
$157$			2.68276i			0.214107i	−0.994253	+	0.107054i	$0.965858\pi$
$158$	21.4056	−	0.265324i	1.70294	−	0.0211081i
$159$	3.28813	+	1.89840i	0.260765	+	0.150553i
$160$	10.9143	−	6.39356i	0.862853	−	0.505455i
$161$	−17.7624	+	17.7624i	−1.39987	+	1.39987i
$162$	−8.02700	−	4.50267i	−0.630661	−	0.353763i
$163$	3.64088	−	13.5879i	0.285175	−	1.06429i	−0.663536	−	0.748145i	$-0.730945\pi$
$163$	3.64088	−	13.5879i	0.285175	−	1.06429i	0.948711	−	0.316144i	$-0.102388\pi$
$164$	1.32584	+	4.49894i	0.103531	+	0.351308i
$165$	0.503026	+	2.40558i	0.0391605	+	0.187274i
$166$	−12.9154	−	12.5992i	−1.00243	−	0.977885i
$167$	−11.3095	+	3.03037i	−0.875154	+	0.234497i	−0.668315	−	0.743878i	$-0.732984\pi$
$167$	−11.3095	+	3.03037i	−0.875154	+	0.234497i	−0.206839	+	0.978375i	$0.566318\pi$
$168$	−4.09683	+	4.41341i	−0.316077	+	0.340502i
$169$	−12.2981	+	4.21378i	−0.946010	+	0.324137i
$170$	17.6315	+	11.2235i	1.35228	+	0.860800i
$171$	6.63850	−	1.77878i	0.507658	−	0.136027i
$172$	−6.56968	+	4.01335i	−0.500934	+	0.306015i
$173$	−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	$0.895369\pi$
$174$	1.43932	−	0.854953i	0.109115	−	0.0648138i
$175$	12.4248	+	15.5522i	0.939226	+	1.17564i
$176$	−2.51863	−	7.82555i	−0.189849	−	0.589873i
$177$	4.43084	−	4.43084i	0.333043	−	0.333043i
$178$	−0.0903247	−	0.321122i	−0.00677012	−	0.0240691i
$179$	−3.82813	+	6.63052i	−0.286128	+	0.495588i	−0.972882	−	0.231302i	$-0.925702\pi$
$179$	−3.82813	+	6.63052i	−0.286128	+	0.495588i	0.686754	+	0.726890i	$0.259035\pi$
$180$	−6.39030	+	10.3190i	−0.476305	+	0.769134i
$181$		−	6.48742i		−	0.482206i	−0.970500	−	0.241103i	$-0.922491\pi$
$181$		−	6.48742i		−	0.482206i	0.970500	−	0.241103i	$-0.0775091\pi$
$182$	1.71039	−	20.2280i	0.126783	−	1.49940i
$183$	−1.38496			−0.102380
$184$	−8.34246	+	15.7764i	−0.615014	+	1.16305i
$185$	2.97626	−	2.66210i	0.218819	−	0.195722i
$186$	0.421640	+	1.49901i	0.0309162	+	0.109913i
$187$	9.60512	−	9.60512i	0.702396	−	0.702396i
$188$	−3.77552	−	3.59283i	−0.275358	−	0.262034i
$189$	3.14862	−	11.7508i	0.229028	−	0.854745i
$190$	−1.73607	−	7.81735i	−0.125948	−	0.567130i
$191$	1.24269	−	0.717465i	0.0899176	−	0.0519139i	−0.454367	−	0.890815i	$-0.650135\pi$
$191$	1.24269	−	0.717465i	0.0899176	−	0.0519139i	0.544285	+	0.838901i	$0.316801\pi$
$192$	−1.85790	+	3.85371i	−0.134083	+	0.278117i
$193$	−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	$0.609331\pi$
$198$	5.64660	+	5.50834i	0.401287	+	0.391460i
$199$	−0.0658303	−	0.114021i	−0.00466658	−	0.00808276i	0.863683	−	0.504036i	$-0.168152\pi$
$199$	−0.0658303	−	0.114021i	−0.00466658	−	0.00808276i	−0.868349	+	0.495953i	$0.834819\pi$
$200$	11.6900	+	7.95883i	0.826611	+	0.562774i
$201$	−2.28242	−	0.611572i	−0.160989	−	0.0431370i
$202$	−9.90155	+	17.6517i	−0.696671	+	1.24197i
$203$	−6.23152	−	6.23152i	−0.437367	−	0.437367i
$204$	−7.06685	+	0.175215i	−0.494778	+	0.0122675i
$205$	−3.90849	+	3.49593i	−0.272981	+	0.244166i
$206$	−21.9643	+	0.272250i	−1.53033	+	0.0189685i
$207$		−	17.1245i		−	1.19023i
$208$	−3.07169	−	14.0913i	−0.212984	−	0.977056i
$209$	−5.20440			−0.359996
$210$	−6.42173	−	2.02218i	−0.443141	−	0.139543i
$211$	−18.1446	−	10.4758i	−1.24913	−	0.721184i	−0.278192	−	0.960525i	$-0.589735\pi$
$211$	−18.1446	−	10.4758i	−1.24913	−	0.721184i	−0.970935	+	0.239341i	$0.923068\pi$
$212$	−0.351958	−	14.1953i	−0.0241726	−	0.974938i
$213$	5.17062	+	5.17062i	0.354285	+	0.354285i
$214$	−16.3558	−	9.17466i	−1.11806	−	0.627167i
$215$	−7.20312	−	4.71165i	−0.491249	−	0.321332i
$216$	−0.321295	−	8.63686i	−0.0218614	−	0.587664i
$217$	7.09903	−	4.09863i	0.481914	−	0.278233i
$218$	8.64411	+	8.43245i	0.585453	+	0.571117i
$219$	−0.464876	−	1.73494i	−0.0314134	−	0.117236i
$220$	6.69669	−	6.29546i	0.451491	−	0.424440i
$221$	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	$-0.994642\pi$
$223$	−2.12605	−	7.93453i	−0.142371	−	0.531336i	0.857487	−	0.514505i	$-0.172024\pi$
$224$	22.0729	+	4.47042i	1.47480	+	0.298692i
$225$	−13.4861	−	1.50754i	−0.899073	−	0.100503i
$226$	9.74407	+	16.4043i	0.648166	+	1.09120i
$227$	2.28173	+	0.611387i	0.151443	+	0.0405792i	0.333744	−	0.942664i	$-0.391688\pi$
$227$	2.28173	+	0.611387i	0.151443	+	0.0405792i	−0.182301	+	0.983243i	$0.558354\pi$
$228$	1.96201	+	1.86707i	0.129937	+	0.123650i
$229$	−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	$0.776467\pi$
$230$	−19.9341	−	0.863029i	−1.31442	−	0.0569065i
$231$	−2.18781	+	3.78940i	−0.143947	+	0.249324i
$232$	−5.53478	−	2.92675i	−0.363376	−	0.192150i
$233$	0.999265			0.0654641			0.0327320	−	0.999464i	$-0.489579\pi$
$233$	0.999265			0.0654641			0.0327320	+	0.999464i	$0.489579\pi$
$234$	8.92625	+	10.5752i	0.583527	+	0.691324i
$235$	1.81892	−	5.53581i	0.118653	−	0.361116i
$236$	−22.7797	−	5.50245i	−1.48283	−	0.358179i
$237$	−7.01045	−	4.04748i	−0.455378	−	0.262912i
$238$	10.0760	+	35.8223i	0.653133	+	2.32201i
$239$	−16.9929	−	16.9929i	−1.09918	−	1.09918i	−0.994507	−	0.104670i	$-0.966621\pi$
$239$	−16.9929	−	16.9929i	−1.09918	−	1.09918i	−0.104670	−	0.994507i	$-0.533379\pi$
$240$	−4.78307	−	0.0290989i	−0.308746	−	0.00187832i
$241$	−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	$0.830165\pi$
$242$	4.89390	+	8.23894i	0.314592	+	0.529619i
$243$	6.32369	+	10.9530i	0.405665	+	0.702632i
$244$	2.70021	+	4.42013i	0.172863	+	0.282970i
$245$	−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
$250$	−2.43456	+	15.6228i	−0.153975	+	0.988075i
$251$	5.03880	+	8.72746i	0.318046	+	0.550873i	0.980080	−	0.198601i	$-0.0636399\pi$
$251$	5.03880	+	8.72746i	0.318046	+	0.550873i	−0.662034	+	0.749474i	$0.730307\pi$
$252$	−20.7286	+	6.10875i	−1.30578	+	0.384815i
$253$	−3.35628	+	12.5258i	−0.211008	+	0.787491i
$254$	−11.3335	+	20.2044i	−0.711124	+	1.26773i
$255$	−3.56480	−	7.05379i	−0.223237	−	0.441726i
$256$	15.9214	−	1.58389i	0.995088	−	0.0989932i
$257$	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	$0.142386\pi$
$258$	2.91092	−	0.0360811i	0.181226	−	0.00224631i
$259$	7.10950			0.441763
$260$	12.7602	−	9.85786i	0.791354	−	0.611358i
$261$	6.00771			0.371868
$262$	12.9796	−	0.160884i	0.801885	−	0.00993943i
$263$	8.94128	−	15.4867i	0.551343	−	0.954954i	−0.446835	−	0.894616i	$-0.647449\pi$
$263$	8.94128	−	15.4867i	0.551343	−	0.954954i	0.998178	−	0.0603375i	$-0.0192177\pi$
$264$	−0.692397	+	3.03056i	−0.0426141	+	0.186518i
$265$	14.1691	−	7.16068i	0.870400	−	0.439877i
$266$	6.97513	−	12.4347i	0.427673	−	0.762420i
$267$	−0.0326479	+	0.121844i	−0.00199802	+	0.00745670i
$268$	2.49810	+	8.47672i	0.152596	+	0.517798i
$269$	−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	$0.995515\pi$
$270$	8.56953	−	4.46501i	0.521525	−	0.271732i
$271$	7.54222	+	28.1480i	0.458157	+	1.70987i	0.678636	+	0.734475i	$0.262571\pi$
$271$	7.54222	+	28.1480i	0.458157	+	1.70987i	−0.220478	+	0.975392i	$0.570762\pi$
$272$	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
$276$	5.75889	−	3.51805i	0.346645	−	0.211761i
$277$	−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	$0.970142\pi$
$278$	1.93627	+	3.25973i	0.116129	+	0.195505i
$279$	−1.44632	+	5.39774i	−0.0865889	+	0.323154i
$280$	6.06637	+	24.4375i	0.362535	+	1.46042i
$281$	−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	$-0.577136\pi$
$282$	0.533635	+	1.89718i	0.0317775	+	0.112975i
$283$	9.54081	+	5.50839i	0.567143	+	0.327440i	0.756007	−	0.654563i	$-0.227147\pi$
$283$	9.54081	+	5.50839i	0.567143	+	0.327440i	−0.188865	+	0.982003i	$0.560481\pi$
$284$	6.42114	−	26.5830i	0.381025	−	1.57741i
$285$	−0.945232	+	2.87677i	−0.0559907	+	0.170405i
$286$	−4.45650	−	9.48481i	−0.263518	−	0.560848i
$287$	−9.33635			−0.551107
$288$	−12.7950	+	8.48512i	−0.753951	+	0.499990i
$289$	−13.3419	+	23.1088i	−0.784816	+	1.35934i
$290$	0.302773	−	6.99341i	0.0177794	−	0.410667i
$291$	2.29175	+	2.29175i	0.134345	+	0.134345i
$292$	−4.63073	+	4.86619i	−0.270993	+	0.284772i
$293$	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	$0.446635\pi$
$294$	−3.41808	−	5.75439i	−0.199347	−	0.335603i
$295$	−5.36284	−	25.6462i	−0.312237	−	1.49318i
$296$	4.82685	−	1.48774i	0.280555	−	0.0864733i
$297$	−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
$300$	−2.26360	−	4.84503i	−0.130689	−	0.279728i
$301$	−3.96632	−	14.8025i	−0.228615	−	0.853203i
$302$	−7.30375	−	7.12491i	−0.420284	−	0.409992i
$303$	6.62792	−	3.82663i	0.380764	−	0.219834i
$304$	2.13353	−	9.90191i	0.122366	−	0.567913i
$305$	−3.17003	+	4.84631i	−0.181515	+	0.277499i
$306$	−22.1249	−	12.4108i	−1.26480	−	0.709477i
$307$	−10.8442	−	10.8442i	−0.618911	−	0.618911i	0.326341	−	0.945252i	$-0.394184\pi$
$307$	−10.8442	−	10.8442i	−0.618911	−	0.618911i	−0.945252	+	0.326341i	$0.894184\pi$
$308$	16.3594	−	0.405614i	0.932163	−	0.0231120i
$309$	7.19344	+	4.15314i	0.409221	+	0.236264i
$310$	6.21048	+	1.95566i	0.352732	+	0.111074i
$311$	−3.42661			−0.194305			−0.0971526	−	0.995270i	$-0.530973\pi$
$311$	−3.42661			−0.194305			−0.0971526	+	0.995270i	$0.530973\pi$
$312$	−1.72260	+	5.17444i	−0.0975230	+	0.292945i
$313$			13.5465i			0.765693i	0.923812	+	0.382846i	$0.125056\pi$
$313$			13.5465i			0.765693i	−0.923812	+	0.382846i	$0.874944\pi$
$314$	−3.79370	+	0.0470232i	−0.214091	+	0.00265367i
$315$	−16.1073	−	18.0082i	−0.907545	−	1.01465i
$316$	0.750392	+	30.2651i	0.0422129	+	1.70255i
$317$	−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	$-0.516529\pi$
$318$	−2.62690	+	4.68303i	−0.147309	+	0.262611i
$319$	−4.39438	−	1.17747i	−0.246038	−	0.0659257i
$320$	9.23247	+	15.3219i	0.516111	+	0.856522i
$321$	3.54571	+	6.14135i	0.197902	+	0.342777i
$322$	−25.4293	−	24.8066i	−1.41712	−	1.38242i
$323$	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
$328$	−6.33873	+	1.95374i	−0.349998	+	0.107877i
$329$	8.98466	−	5.18730i	0.495340	−	0.285985i
$330$	−3.39292	+	0.753496i	−0.186774	+	0.0414786i
$331$	4.24664	−	15.8487i	0.233416	−	0.871122i	−0.745440	−	0.666573i	$-0.767760\pi$
$331$	4.24664	−	15.8487i	0.233416	−	0.871122i	0.978856	−	0.204549i	$-0.0655729\pi$
$332$	17.5902	−	18.4846i	0.965386	−	1.01447i
$333$	−3.42708	+	3.42708i	−0.187803	+	0.187803i
$334$	−4.48349	−	15.9397i	−0.245326	−	0.872180i
$335$	−7.36423	+	6.58689i	−0.402351	+	0.359880i
$336$	−6.31284	−	5.71599i	−0.344394	−	0.311833i
$337$	1.73129			0.0943096			0.0471548	−	0.998888i	$-0.484985\pi$
$337$	1.73129			0.0943096			0.0471548	+	0.998888i	$0.484985\pi$
$338$	−6.17429	−	17.3170i	−0.335837	−	0.941920i
$339$		−	7.21495i		−	0.391862i
$340$	−15.5621	+	25.1296i	−0.843974	+	1.36284i
$341$	2.11584	−	3.66475i	0.114579	−	0.198457i
$342$	2.63174	+	9.35635i	0.142308	+	0.505933i
$343$	−5.20760	+	5.20760i	−0.281184	+	0.281184i
$344$	−5.79045	−	9.21987i	−0.312200	−	0.497102i
$345$	6.31416	+	4.13017i	0.339943	+	0.222361i
$346$	6.19420	−	3.67933i	0.333002	−	0.197802i
$347$	5.63496	+	9.76005i	0.302501	+	0.523947i	0.976702	−	0.214601i	$-0.0688452\pi$
$347$	5.63496	+	9.76005i	0.302501	+	0.523947i	−0.674201	+	0.738548i	$0.735512\pi$
$348$	1.23422	+	2.02037i	0.0661612	+	0.108303i
$349$	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	$0.245217\pi$
$350$	−21.7747	+	17.8426i	−1.16391	+	0.953725i
$351$	−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	$0.477672\pi$
$354$	6.34334	+	6.18801i	0.337145	+	0.328889i
$355$	29.9282	−	6.25823i	1.58842	−	0.332152i
$356$	0.452517	−	0.133357i	0.0239834	−	0.00706792i
$357$	3.64199	−	13.5921i	0.192754	−	0.719369i
$358$	−9.44335	−	5.29716i	−0.499097	−	0.279964i
$359$	−5.91629	+	5.91629i	−0.312250	+	0.312250i	−0.845781	−	0.533531i	$-0.820865\pi$
$359$	−5.91629	+	5.91629i	−0.312250	+	0.312250i	0.533531	+	0.845781i	$0.320865\pi$
$360$	−14.7042	−	8.85568i	−0.774978	−	0.466735i
$361$	10.9011	+	6.29376i	0.573743	+	0.331250i
$362$	9.17389	−	0.113711i	0.482169	−	0.00597652i
$363$		−	3.62366i		−	0.190193i
$364$	28.6345	+	2.06412i	1.50085	+	0.108189i
$365$	−7.13500	−	2.34437i	−0.373463	−	0.122710i
$366$	−0.0242756	−	1.95849i	−0.00126891	−	0.102372i
$367$	−11.4033	+	19.7511i	−0.595246	+	1.03100i	0.398266	+	0.917270i	$0.369612\pi$
$367$	−11.4033	+	19.7511i	−0.595246	+	1.03100i	−0.993512	+	0.113727i	$0.963721\pi$
$368$	−22.4557	−	11.5206i	−1.17059	−	0.600552i
$369$	4.50051	−	4.50051i	0.234287	−	0.234287i
$370$	3.81666	+	4.16209i	0.198419	+	0.216377i
$371$	27.3027	+	7.31573i	1.41748	+	0.379814i
$372$	−2.11237	+	0.622518i	−0.109521	+	0.0322761i
$373$	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	$0.299601\pi$
$374$	13.7510	+	13.4143i	0.711048	+	0.693636i
$375$	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	−0.0315327	−	0.999503i	$-0.510039\pi$
$379$	8.58361	−	2.29997i	0.440911	−	0.118142i	0.472443	+	0.881361i	$0.343372\pi$
$380$	11.0241	−	2.59200i	0.565525	−	0.132967i
$381$	7.58640	−	4.38001i	0.388663	−	0.224395i
$382$	1.03635	+	1.74471i	0.0530244	+	0.0892672i
$383$	−15.7677	−	4.22494i	−0.805692	−	0.215884i	−0.167610	−	0.985853i	$-0.553605\pi$
$383$	−15.7677	−	4.22494i	−0.805692	−	0.215884i	−0.638081	+	0.769969i	$0.720272\pi$
$384$	−5.48211	−	2.55972i	−0.279758	−	0.130625i
$385$	8.25233	+	16.3292i	0.420578	+	0.832212i
$386$	26.2425	−	7.38146i	1.33571	−	0.375706i
$387$	9.04737	+	5.22350i	0.459904	+	0.265525i
$388$	2.84601	−	11.7823i	0.144484	−	0.598154i
$389$			26.9878i			1.36833i	0.729325	+	0.684167i	$0.239834\pi$
$389$			26.9878i			1.36833i	−0.729325	+	0.684167i	$0.760166\pi$
$390$	−6.05219	+	0.740718i	−0.306465	+	0.0375077i
$391$		−	41.7027i		−	2.10900i
$392$	−11.7011	+	22.1279i	−0.590994	+	1.11763i
$393$	−4.25090	−	2.45426i	−0.214430	−	0.123801i
$394$	−6.11621	−	21.7443i	−0.308130	−	1.09546i
$395$	−30.2092	+	15.2669i	−1.51999	+	0.768163i
$396$	−7.69039	+	8.08144i	−0.386457	+	0.406108i
$397$	−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	$0.721015\pi$
$398$	0.160084	−	0.0950894i	0.00802430	−	0.00476640i
$399$	−4.66902	+	2.69566i	−0.233743	+	0.134952i
$400$	−11.0497	+	16.6704i	−0.552486	+	0.833522i
$401$	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
$406$	8.70279	−	8.92124i	0.431912	−	0.442754i
$407$	3.17845	−	1.83508i	0.157550	−	0.0909614i
$408$	−0.371640	−	9.99020i	−0.0183989	−	0.494588i
$409$	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	$0.498117\pi$
$410$	−5.01212	−	5.46575i	−0.247531	−	0.269934i
$411$	5.32612	−	5.32612i	0.262718	−	0.262718i
$412$	−0.769980	−	31.0551i	−0.0379342	−	1.52998i
$413$	23.3246	−	40.3994i	1.14773	−	1.98793i
$414$	24.2158	−	0.300157i	1.19014	−	0.0147519i
$415$	27.1028	+	8.90528i	1.33043	+	0.437143i
$416$	19.8727	−	4.59069i	0.974341	−	0.225077i
$417$		−	1.43370i		−	0.0702085i
$418$	−0.0912225	−	7.35957i	−0.00446184	−	0.359969i
$419$	−32.0299	−	18.4925i	−1.56476	−	0.903416i	−0.996764	−	0.0803859i	$-0.974385\pi$
$419$	−32.0299	−	18.4925i	−1.56476	−	0.903416i	−0.567998	−	0.823030i	$-0.692282\pi$
$420$	2.74701	−	9.11644i	0.134040	−	0.444837i
$421$	−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	$0.969887\pi$
$422$	14.4958	−	25.8420i	0.705647	−	1.25797i
$423$	−1.83049	+	6.83148i	−0.0890014	+	0.332158i
$424$	20.0675	−	0.746521i	0.974564	−	0.0362542i
$425$	−32.8423	−	3.67128i	−1.59308	−	0.178083i
$426$	−7.22117	+	7.40243i	−0.349867	+	0.358649i
$427$	−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
$430$	6.53651	−	10.2686i	0.315218	−	0.495194i
$431$	23.6235	−	6.32990i	1.13790	−	0.304900i	0.359796	−	0.933031i	$-0.382846\pi$
$431$	23.6235	−	6.32990i	1.13790	−	0.304900i	0.778108	+	0.628131i	$0.216180\pi$
$432$	12.2078	−	0.605732i	0.587348	−	0.0291433i
$433$	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	$0.440985\pi$
$434$	5.92032	+	9.96693i	0.284184	+	0.478428i
$435$	−1.44897	+	2.21517i	−0.0694727	+	0.106209i
$436$	−11.7729	+	12.3715i	−0.563817	+	0.592487i
$437$	−11.2980	+	11.2980i	−0.540458	+	0.540458i
$438$	2.44524	−	0.687793i	0.116838	−	0.0328640i
$439$	−14.5313	+	25.1689i	−0.693540	+	1.20125i	0.277130	+	0.960832i	$0.410617\pi$
$439$	−14.5313	+	25.1689i	−0.693540	+	1.20125i	−0.970670	+	0.240415i	$0.922717\pi$
$440$	9.01982	+	9.35947i	0.430003	+	0.446195i
$441$		−	24.0187i		−	1.14375i
$442$	21.7378	+	25.7535i	1.03396	+	1.22497i
$443$	−27.2284			−1.29366			−0.646829	−	0.762635i	$-0.723905\pi$
$443$	−27.2284			−1.29366			−0.646829	+	0.762635i	$0.723905\pi$
$444$	−1.85657	−	0.448456i	−0.0881090	−	0.0212828i
$445$	0.351631	+	0.393129i	0.0166689	+	0.0186361i
$446$	11.1830	−	3.14554i	0.529530	−	0.148945i
$447$	3.49373	−	3.49373i	0.165248	−	0.165248i
$448$	−5.93475	+	31.2917i	−0.280390	+	1.47839i
$449$	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	$0.0804970\pi$
$450$	1.89544	−	19.0972i	0.0893519	−	0.900249i
$451$	−4.17400	+	2.40986i	−0.196546	+	0.113476i
$452$	−23.0266	+	14.0667i	−1.08308	+	0.661641i
$453$	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	$0.206062\pi$
$458$	2.48226	−	2.54457i	0.115988	−	0.118900i
$459$	10.0981	+	17.4905i	0.471340	+	0.816385i
$460$	0.871009	−	28.2041i	0.0406110	−	1.31502i
$461$	−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	$0.699236\pi$
$462$	−5.39696	−	3.02738i	−0.251089	−	0.140846i
$463$	1.07668	+	1.07668i	0.0500377	+	0.0500377i	0.731683	−	0.681645i	$-0.238735\pi$
$463$	1.07668	+	1.07668i	0.0500377	+	0.0500377i	−0.681645	+	0.731683i	$0.738735\pi$
$464$	4.04172	−	7.87806i	0.187632	−	0.365730i
$465$	−1.64143	−	1.83514i	−0.0761196	−	0.0851028i
$466$	0.0175151	+	1.41307i	0.000811370	+	0.0654590i
$467$			4.38743i			0.203026i	0.994834	+	0.101513i	$0.0323683\pi$
$467$			4.38743i			0.203026i	−0.994834	+	0.101513i	$0.967632\pi$
$468$	−14.7980	+	12.8080i	−0.684038	+	0.592051i
$469$	−17.5912			−0.812285
$470$	7.86010	+	2.47511i	0.362559	+	0.114169i
$471$	1.24246	+	0.717332i	0.0572494	+	0.0330529i
$472$	7.38176	−	32.3093i	0.339773	−	1.48716i
$473$	−5.59399	−	5.59399i	−0.257212	−	0.257212i
$474$	5.60069	−	9.98445i	0.257248	−	0.458601i
$475$	7.90296	+	9.89219i	0.362613	+	0.453885i
$476$	−50.4799	+	14.8765i	−2.31374	+	0.681862i
$477$	−16.6875	+	9.63454i	−0.764069	+	0.441135i
$478$	23.7318	−	24.3275i	1.08547	−	1.11272i
$479$	4.12518	+	15.3954i	0.188484	+	0.703433i	0.993858	+	0.110665i	$0.0352981\pi$
$479$	4.12518	+	15.3954i	0.188484	+	0.703433i	−0.805373	+	0.592768i	$0.798035\pi$
$480$	−0.0426885	−	6.76427i	−0.00194845	−	0.308745i
$481$	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
$484$	−11.5650	+	7.06490i	−0.525680	+	0.321132i
$485$	13.2649	−	2.77380i	0.602329	−	0.125952i
$486$	−15.3778	+	9.13434i	−0.697550	+	0.414342i
$487$	9.28834	+	2.48880i	0.420895	+	0.112778i	0.463049	−	0.886333i	$-0.346755\pi$
$487$	9.28834	+	2.48880i	0.420895	+	0.112778i	−0.0421541	+	0.999111i	$0.513422\pi$
$488$	−6.20320	+	3.89585i	−0.280805	+	0.176357i
$489$	−5.31942	−	5.31942i	−0.240552	−	0.240552i
$490$	−27.9595	−	1.21048i	−1.26308	−	0.0546839i
$491$	−10.0929	+	17.4813i	−0.455484	+	0.788922i	−0.998716	−	0.0506608i	$-0.983867\pi$
$491$	−10.0929	+	17.4813i	−0.455484	+	0.788922i	0.543232	+	0.839583i	$0.317201\pi$
$492$	2.43809	+	0.588922i	0.109918	+	0.0265506i
$493$	14.6304			0.658920
$494$	1.08792	−	12.8663i	0.0489478	−	0.578881i
$495$	−11.8493	−	3.89338i	−0.532587	−	0.174994i
$496$	6.10517	+	5.52796i	0.274130	+	0.248213i
$497$	47.1446	+	27.2189i	2.11472	+	1.22094i
$498$	−9.28843	+	2.61263i	−0.416224	+	0.117075i
$499$	2.37772	+	2.37772i	0.106441	+	0.106441i	0.758322	−	0.651880i	$-0.226020\pi$
$499$	2.37772	+	2.37772i	0.106441	+	0.106441i	−0.651880	+	0.758322i	$0.726020\pi$
$500$	−22.1350	−	3.16888i	−0.989907	−	0.141717i
$501$	−1.62056	+	6.04800i	−0.0724012	+	0.270205i
$502$	−12.2532	+	7.27837i	−0.546888	+	0.324850i
$503$	11.2864	+	19.5486i	0.503235	+	0.871628i	0.999993	+	0.00373916i	$0.00119021\pi$
$503$	11.2864	+	19.5486i	0.503235	+	0.871628i	−0.496758	+	0.867889i	$0.665476\pi$
$504$	−9.00175	−	29.2054i	−0.400970	−	1.30091i
$505$	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	$-0.280218\pi$
$510$	9.91232	−	5.16464i	0.438925	−	0.228694i
$511$	−6.68581	−	11.5802i	−0.295763	−	0.512276i
$512$	2.51886	+	22.4868i	0.111319	+	0.993785i
$513$	2.00272	−	7.47425i	0.0884223	−	0.329996i
$514$	3.01369	+	1.69050i	0.132928	+	0.0745649i
$515$	30.9977	−	15.6654i	1.36592	−	0.690302i
$516$	0.102045	+	4.11571i	0.00449227	+	0.181184i
$517$	2.67785	−	4.63817i	0.117772	−	0.203987i
$518$	0.124615	+	10.0536i	0.00547527	+	0.441729i
$519$	−2.72434			−0.119585
$520$	14.1637	+	17.8715i	0.621120	+	0.783716i
$521$	6.76217			0.296256			0.148128	−	0.988968i	$-0.452675\pi$
$521$	6.76217			0.296256			0.148128	+	0.988968i	$0.452675\pi$
$522$	0.105303	+	8.49553i	0.00460898	+	0.371839i
$523$	−8.25002	+	14.2895i	−0.360748	+	0.624834i	−0.988084	−	0.153915i	$-0.950812\pi$
$523$	−8.25002	+	14.2895i	−0.360748	+	0.624834i	0.627336	+	0.778749i	$0.284145\pi$
$524$	0.455013	+	18.3518i	0.0198773	+	0.801700i
$525$	10.5249	−	1.59581i	0.459343	−	0.0696468i
$526$	22.0566	+	12.3725i	0.961714	+	0.539465i
$527$	−3.52218	+	13.1450i	−0.153429	+	0.572603i
$528$	−4.29767	−	0.926002i	−0.187032	−	0.0402991i
$529$	8.40576	+	14.5592i	0.365468	+	0.633009i
$530$	10.3743	+	19.9111i	0.450631	+	0.864881i
$531$	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
$536$	−11.9432	+	3.68115i	−0.515867	+	0.159001i
$537$	2.04718	+	3.54582i	0.0883424	+	0.153014i
$538$	19.4534	−	11.5552i	0.838695	−	0.498182i
$539$	−4.70750	+	17.5686i	−0.202767	+	0.756735i
$540$	6.46419	+	12.0400i	0.278175	+	0.518117i
$541$	−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	$0.754711\pi$
$542$	−39.6720	+	11.1589i	−1.70406	+	0.479315i
$543$	−3.00450	−	1.73465i	−0.128935	−	0.0744408i
$544$	−31.1592	+	20.6636i	−1.33594	+	0.885943i
$545$	−18.1396	−	5.96018i	−0.777013	−	0.255306i
$546$	−8.91078	−	6.20082i	−0.381346	−	0.265370i
$547$	17.2028			0.735537			0.367768	−	0.929917i	$-0.380122\pi$
$547$	17.2028			0.735537			0.367768	+	0.929917i	$0.380122\pi$
$548$	−27.3825	−	6.61425i	−1.16972	−	0.282547i
$549$	3.51441	−	6.08713i	0.149991	−	0.259792i
$550$	−5.12935	+	13.5973i	−0.218716	+	0.579790i
$551$	−3.96364	−	3.96364i	−0.168857	−	0.168857i
$552$	5.07583	+	8.08202i	0.216042	+	0.343993i
$553$	−58.2106	−	15.5975i	−2.47537	−	0.663273i
$554$	16.8644	−	10.0174i	0.716500	−	0.425598i
$555$	−0.437078	−	2.09020i	−0.0185529	−	0.0887240i
$556$	−4.57566	+	2.79522i	−0.194051	+	0.118544i
$557$	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
$560$	−34.4509	+	9.00683i	−1.45582	+	0.380608i
$561$	−1.88011	−	7.01667i	−0.0793783	−	0.296244i
$562$	28.3447	−	29.0562i	1.19565	−	1.22566i
$563$	−32.3433	+	18.6734i	−1.36311	+	0.786992i	−0.990037	−	0.140810i	$-0.955029\pi$
$563$	−32.3433	+	18.6734i	−1.36311	+	0.786992i	−0.373073	+	0.927802i	$0.621696\pi$
$564$	−2.67346	+	0.787870i	−0.112573	+	0.0331753i
$565$	−25.2468	−	16.5142i	−1.06214	−	0.694757i
$566$	−7.62221	+	13.5883i	−0.320386	+	0.571157i
$567$	18.3207	+	18.3207i	0.769397	+	0.769397i
$568$	37.7037	+	8.61422i	1.58201	+	0.361445i
$569$	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	$0.646720\pi$
$570$	−4.08462	−	1.28623i	−0.171086	−	0.0538744i
$571$	−15.6042			−0.653015			−0.326508	−	0.945195i	$-0.605872\pi$
$571$	−15.6042			−0.653015			−0.326508	+	0.945195i	$0.605872\pi$
$572$	13.3344	−	6.46821i	0.557539	−	0.270449i
$573$		−	0.767361i		−	0.0320570i
$574$	−0.163647	−	13.2026i	−0.00683050	−	0.551065i
$575$	28.9048	−	12.6412i	1.20541	−	0.527175i
$576$	−12.2231	−	17.9447i	−0.509296	−	0.747696i
$577$	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	$0.564324\pi$
$578$	−32.9121	−	18.4618i	−1.36896	−	0.767908i
$579$	−9.95722	−	2.66803i	−0.413808	−	0.110880i
$580$	9.89473	+	0.305573i	0.410856	+	0.0126882i
$581$	25.3966	+	43.9881i	1.05363	+	1.82494i
$582$	−3.20060	+	3.28094i	−0.132669	+	0.135999i
$583$	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	$-0.693414\pi$
$587$	−11.7989	−	44.0340i	−0.486991	−	1.81748i	0.0839311	−	0.996472i	$-0.473252\pi$
$588$	8.07740	−	4.93439i	0.333106	−	0.203491i
$589$	4.51543	−	2.60699i	0.186055	−	0.107419i
$590$	36.1725	−	8.03314i	1.48920	−	0.330719i
$591$	−2.21071	+	8.25046i	−0.0909363	+	0.339379i
$592$	2.18843	+	6.79960i	0.0899439	+	0.279462i
$593$	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	$0.164759\pi$
$594$	8.54967	−	2.40484i	0.350797	−	0.0986717i
$595$	−39.2257	−	43.8549i	−1.60810	−	1.79787i
$596$	−17.9618	−	4.33869i	−0.735745	−	0.177720i
$597$	−0.0704085			−0.00288163
$598$	−30.2646	−	10.9157i	−1.23761	−	0.446378i
$599$			16.7004i			0.682358i	0.939998	+	0.341179i	$0.110826\pi$
$599$			16.7004i			0.682358i	−0.939998	+	0.341179i	$0.889174\pi$
$600$	6.81171	−	3.28589i	0.278087	−	0.134146i
$601$	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	$0.0631500\pi$
$602$	20.8628	−	5.86825i	0.850304	−	0.239172i
$603$	8.47969	−	8.47969i	0.345320	−	0.345320i
$604$	9.94734	−	10.4532i	0.404752	−	0.425333i
$605$	−12.6800	−	8.29416i	−0.515517	−	0.337205i
$606$	5.52743	+	9.30550i	0.224536	+	0.378010i
$607$	3.98035	+	6.89417i	0.161558	+	0.279826i	0.935427	−	0.353519i	$-0.115015\pi$
$607$	3.98035	+	6.89417i	0.161558	+	0.279826i	−0.773870	+	0.633345i	$0.781682\pi$
$608$	14.0397	+	2.84347i	0.569386	+	0.115318i
$609$	−4.55221	+	1.21976i	−0.184465	+	0.0494272i
$610$	−6.90876	−	4.39781i	−0.279727	−	0.178062i
$611$	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	$0.262534\pi$
$614$	15.1447	−	15.5249i	0.611192	−	0.626534i
$615$	0.573980	+	2.74489i	0.0231451	+	0.110685i
$616$	0.860328	+	23.1268i	0.0346636	+	0.931805i
$617$	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	$0.0215481\pi$
$618$	−5.74688	+	10.2451i	−0.231174	+	0.412117i
$619$	0.472178	−	0.472178i	0.0189784	−	0.0189784i	−0.697554	−	0.716532i	$-0.745728\pi$
$619$	0.472178	−	0.472178i	0.0189784	−	0.0189784i	0.716532	+	0.697554i	$0.245728\pi$
$620$	−2.65665	+	8.81655i	−0.106693	+	0.354081i
$621$	−16.6973	−	9.64018i	−0.670039	−	0.386847i
$622$	−0.0600614	−	4.84558i	−0.00240824	−	0.194290i
$623$			0.939079i			0.0376234i
$624$	−7.34739	−	2.34524i	−0.294131	−	0.0938847i
$625$	−7.41076	−	23.8764i	−0.296431	−	0.955054i
$626$	−19.1562	+	0.237442i	−0.765634	+	0.00949010i
$627$	−1.39159	+	2.41030i	−0.0555746	+	0.0962581i
$628$	−0.132991	−	5.36386i	−0.00530694	−	0.214041i
$629$	−8.34586	+	8.34586i	−0.332771	+	0.332771i
$630$	25.1832	−	23.0931i	1.00332	−	0.920051i
$631$	−9.46627	−	2.53648i	−0.376846	−	0.100976i	0.0654239	−	0.997858i	$-0.479160\pi$
$631$	−9.46627	−	2.53648i	−0.376846	−	0.100976i	−0.442270	+	0.896882i	$0.645827\pi$
$632$	−42.7849	+	1.59162i	−1.70189	+	0.0633112i
$633$	−9.70325	+	5.60218i	−0.385670	+	0.222666i
$634$	26.1225	−	26.7782i	1.03746	−	1.06350i
$635$	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
$640$	−21.5050	+	13.3242i	−0.850059	+	0.526687i
$641$	−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	$0.521145\pi$
$642$	−8.62236	+	5.12165i	−0.340297	+	0.202135i
$643$	22.6717	+	6.07486i	0.894085	+	0.239569i	0.676474	−	0.736466i	$-0.263507\pi$
$643$	22.6717	+	6.07486i	0.894085	+	0.239569i	0.217611	+	0.976036i	$0.430174\pi$
$644$	34.6334	−	36.3945i	1.36475	−	1.43414i
$645$	−4.10811	+	2.07613i	−0.161757	+	0.0817475i
$646$	6.40900	+	22.7852i	0.252159	+	0.896473i
$647$	16.3519	+	9.44077i	0.642859	+	0.371155i	0.785715	−	0.618589i	$-0.212295\pi$
$647$	16.3519	+	9.44077i	0.642859	+	0.371155i	−0.142856	+	0.989743i	$0.545629\pi$
$648$	16.2723	+	8.60466i	0.639235	+	0.338023i
$649$		−	24.0818i		−	0.945295i
$650$	−11.2608	+	22.8734i	−0.441686	+	0.897170i
$651$		−	4.38367i		−	0.171810i
$652$	−6.60592	+	27.3480i	−0.258708	+	1.07103i
$653$	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	$0.628175\pi$
$654$	6.21661	−	1.74860i	0.243089	−	0.0683756i
$655$	−18.3179	+	9.25736i	−0.715738	+	0.361715i
$656$	−2.87389	−	8.92938i	−0.112207	−	0.348634i
$657$	8.80497	+	2.35928i	0.343514	+	0.0920444i
$658$	7.49286	+	12.6143i	0.292102	+	0.491758i
$659$	−20.1255	+	11.6194i	−0.783976	+	0.452629i	−0.837838	−	0.545920i	$-0.816180\pi$
$659$	−20.1255	+	11.6194i	−0.783976	+	0.452629i	0.0538614	+	0.998548i	$0.482847\pi$
$660$	−1.12499	−	4.78474i	−0.0437903	−	0.186246i
$661$	−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
$666$	−4.90632	−	4.78618i	−0.190116	−	0.185461i
$667$	−12.0957	+	6.98345i	−0.468347	+	0.270400i
$668$	22.4618	−	6.61951i	0.869073	−	0.256117i
$669$	−4.24317	−	1.13695i	−0.164051	−	0.0439572i
$670$	−9.44363	−	10.2983i	−0.364839	−	0.397860i
$671$	−3.76368	+	3.76368i	−0.145295	+	0.145295i
$672$	7.97235	−	9.02720i	0.307540	−	0.348232i
$673$	−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	$0.285169\pi$
$674$	0.0303460	+	2.44823i	0.00116889	+	0.0943024i
$675$	−9.06190	+	12.3010i	−0.348793	+	0.473466i
$676$	24.3798	−	9.03463i	0.937685	−	0.347486i
$677$			1.24456i			0.0478324i	0.999714	+	0.0239162i	$0.00761349\pi$
$677$			1.24456i			0.0478324i	−0.999714	+	0.0239162i	$0.992387\pi$
$678$	10.2027	−	0.126463i	0.391832	−	0.00485679i
$679$	20.8957	+	12.0641i	0.801902	+	0.462978i
$680$	−35.8086	−	21.5660i	−1.37320	−	0.827017i
$681$	0.893252	−	0.893252i	0.0342295	−	0.0342295i
$682$	5.21942	+	2.92779i	0.199862	+	0.112111i
$683$	6.98855	−	26.0816i	0.267409	−	0.997985i	−0.693350	−	0.720601i	$-0.743866\pi$
$683$	6.98855	−	26.0816i	0.267409	−	0.997985i	0.960759	−	0.277384i	$-0.0894674\pi$
$684$	−13.1847	+	3.88555i	−0.504131	+	0.148568i
$685$	−6.44643	−	30.8282i	−0.246305	−	1.17789i
$686$	−7.45537	−	7.27282i	−0.284647	−	0.277677i
$687$	−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
$690$	−5.72981	+	9.00128i	−0.218130	+	0.342673i
$691$	−27.8279	+	7.45647i	−1.05862	+	0.283657i	−0.745811	−	0.666158i	$-0.767938\pi$
$691$	−27.8279	+	7.45647i	−1.05862	+	0.283657i	−0.312813	+	0.949815i	$0.601271\pi$
$692$	5.31153	+	8.69476i	0.201914	+	0.330525i
$693$	−11.1033	−	19.2315i	−0.421781	−	0.730546i
$694$	−13.7030	+	8.13950i	−0.520157	+	0.308971i
$695$	−5.01684	−	3.28157i	−0.190299	−	0.124477i
$696$	−2.83538	+	1.78073i	−0.107475	+	0.0674984i
$697$	10.9600	−	10.9600i	0.415138	−	0.415138i
$698$	7.33907	+	26.0918i	0.277788	+	0.987590i
$699$	0.267190	−	0.462787i	0.0101061	−	0.0175042i
$700$	−25.6129	−	30.4789i	−0.968077	−	1.15200i
$701$		−	6.05688i		−	0.228765i	−0.993437	−	0.114383i	$-0.963511\pi$
$701$		−	6.05688i		−	0.228765i	0.993437	−	0.114383i	$-0.0364890\pi$
$702$	15.3364	−	2.75029i	0.578836	−	0.103803i
$703$	4.52209			0.170554
$704$	5.42364	+	15.5214i	0.204411	+	0.584986i
$705$	−2.07743	−	2.32259i	−0.0782404	−	0.0874739i
$706$	−2.74088	−	9.74438i	−0.103155	−	0.366734i
$707$	40.2879	−	40.2879i	1.51518	−	1.51518i
$708$	−8.63931	+	9.07861i	−0.324685	+	0.341195i
$709$	−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	$0.868160\pi$
$710$	9.37437	+	42.2119i	0.351814	+	1.58418i
$711$	35.5786	−	20.5413i	1.33430	−	0.770360i
$712$	0.196513	+	0.637569i	0.00736463	+	0.0238939i
$713$	−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
$718$	−8.46995	−	8.26255i	−0.316096	−	0.308356i
$719$	−12.9169	−	22.3727i	−0.481718	−	0.834360i	0.518062	−	0.855343i	$-0.326654\pi$
$719$	−12.9169	−	22.3727i	−0.481718	−	0.834360i	−0.999780	+	0.0209830i	$0.993320\pi$
$720$	12.2651	−	20.9485i	0.457094	−	0.780703i
$721$	59.7301	+	16.0046i	2.22447	+	0.596044i
$722$	−8.70896	+	15.5256i	−0.324114	+	0.577804i
$723$	8.38413	+	8.38413i	0.311809	+	0.311809i
$724$	0.321599	+	12.9708i	0.0119521	+	0.482058i
$725$	4.43487	+	10.1406i	0.164707	+	0.376611i
$726$	5.12424	−	0.0635154i	0.190178	−	0.00235728i
$727$		−	35.1134i		−	1.30228i	−0.758956	−	0.651142i	$-0.774290\pi$
$727$		−	35.1134i		−	1.30228i	0.758956	−	0.651142i	$-0.225710\pi$
$728$	−2.41698	+	40.5283i	−0.0895793	+	1.50208i
$729$	−12.7604			−0.472606
$730$	3.19013	−	10.1307i	0.118072	−	0.374955i
$731$	22.0328	+	12.7206i	0.814912	+	0.470490i
$732$	2.76908	−	0.0686565i	0.102348	−	0.00253762i
$733$	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	$0.647205\pi$
$734$	−28.1299	−	15.7792i	−1.03829	−	0.582422i
$735$	8.85621	+	5.79295i	0.326666	+	0.213676i
$736$	15.8977	−	31.9567i	0.585997	−	1.17794i
$737$	−7.86449	+	4.54057i	−0.289692	+	0.167254i
$738$	6.44308	+	6.28531i	0.237173	+	0.231366i
$739$	1.17602	+	4.38895i	0.0432605	+	0.161450i	0.984177	−	0.177189i	$-0.0567002\pi$
$739$	1.17602	+	4.38895i	0.0432605	+	0.161450i	−0.940916	+	0.338639i	$0.890034\pi$
$740$	−5.81873	+	5.47011i	−0.213901	+	0.201085i
$741$	−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	0.889719	−	0.456509i	$-0.150900\pi$
$743$	−2.97262	−	11.0940i	−0.109055	−	0.406998i	−0.998774	+	0.0495112i	$0.984234\pi$
$744$	−0.917332	−	2.97620i	−0.0336310	−	0.109113i
$745$	−4.22861	−	20.2221i	−0.154924	−	0.740880i
$746$	2.95079	+	4.96769i	0.108036	+	0.181880i
$747$	−33.4463	−	8.96192i	−1.22374	−	0.327900i
$748$	−18.7282	+	19.6805i	−0.684770	+	0.719590i
$749$	37.3303	+	37.3303i	1.36402	+	1.36402i
$750$	6.58439	+	5.30484i	0.240428	+	0.193705i
$751$	7.08084	−	12.2644i	0.258384	−	0.447534i	−0.707425	−	0.706788i	$-0.750143\pi$
$751$	7.08084	−	12.2644i	0.258384	−	0.447534i	0.965809	+	0.259254i	$0.0834768\pi$
$752$	7.72682	+	6.99628i	0.281768	+	0.255128i
$753$	5.38923			0.196394
$754$	3.82952	−	10.6176i	0.139463	−	0.386670i
$755$	15.3268	+	5.03599i	0.557800	+	0.183278i
$756$	−5.71278	+	23.6505i	−0.207772	+	0.860159i
$757$	−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	$0.897574\pi$
$758$	3.40286	+	12.0978i	0.123597	+	0.439412i
$759$	4.90362	+	4.90362i	0.177990	+	0.177990i
$760$	3.85860	+	15.5438i	0.139966	+	0.563834i
$761$	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	$-0.184180\pi$
$762$	6.32677	+	10.6512i	0.229195	+	0.385852i
$763$	−16.9976	−	29.4406i	−0.615353	−	1.06582i
$764$	−2.44904	+	1.49609i	−0.0886032	+	0.0541267i
$765$	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	$0.720753\pi$
$770$	−22.9465	+	11.9559i	−0.826935	+	0.430860i
$771$	−0.653324	−	1.13159i	−0.0235289	−	0.0407533i
$772$	10.8981	+	36.9803i	0.392232	+	1.33095i
$773$	−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	$0.139813\pi$
$774$	−7.22800	+	12.8855i	−0.259805	+	0.463159i
$775$	−10.1786	+	1.54331i	−0.365628	+	0.0554374i
$776$	16.7112	+	3.81804i	0.599899	+	0.137060i
$777$	1.90098	−	3.29260i	0.0681974	−	0.118121i
$778$	−38.1635	+	0.473040i	−1.36823	+	0.0169593i
$779$	−5.93851			−0.212769
$780$	−1.15354	−	8.54545i	−0.0413032	−	0.305976i
$781$	28.1026			1.00559
$782$	58.9720	−	0.730963i	2.10883	−	0.0261392i
$783$	3.38203	−	5.85784i	0.120864	−	0.209342i
$784$	−31.4963	−	16.1587i	−1.12487	−	0.577097i
$785$	5.35395	−	2.70575i	0.191091	−	0.0965723i
$786$	3.39607	−	6.05424i	0.121134	−	0.215948i
$787$	−7.60038	+	28.3650i	−0.270924	+	1.01110i	0.687599	+	0.726090i	$0.258665\pi$
$787$	−7.60038	+	28.3650i	−0.270924	+	1.01110i	−0.958524	+	0.285013i	$0.908002\pi$
$788$	30.6415	−	9.03010i	1.09156	−	0.321684i
$789$	−4.78155	−	8.28189i	−0.170228	−	0.294843i
$790$	−22.1186	−	42.4514i	−0.786943	−	1.51035i
$791$	−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
$796$	0.137272	+	0.224709i	0.00486549	+	0.00796461i
$797$	−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	$0.918179\pi$
$798$	−3.89379	−	6.55524i	−0.137839	−	0.232053i
$799$	−4.45774	+	16.6365i	−0.157703	+	0.588557i
$800$	−23.7674	−	15.3333i	−0.840306	−	0.542113i
$801$	−0.452676	−	0.452676i	−0.0159945	−	0.0159945i
$802$	4.29556	+	15.2716i	0.151682	+	0.539258i
$803$	−5.97805	−	3.45143i	−0.210961	−	0.121798i
$804$	4.59375	+	1.10962i	0.162009	+	0.0391334i
$805$	53.3630	+	17.5337i	1.88080	+	0.617981i
$806$	8.61766	+	5.99684i	0.303544	+	0.211230i
$807$	−8.55602			−0.301186
$808$	18.9220	−	35.7834i	0.665673	−	1.25885i
$809$	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	$0.00563975\pi$
$810$	−0.890154	+	20.5607i	−0.0312768	+	0.722429i
$811$	11.4849	+	11.4849i	0.403289	+	0.403289i	0.879390	−	0.476102i	$-0.157951\pi$
$811$	11.4849	+	11.4849i	0.403289	+	0.403289i	−0.476102	+	0.879390i	$0.657951\pi$
$812$	12.7681	+	12.1503i	0.448073	+	0.426392i
$813$	15.0528	+	4.03338i	0.527924	+	0.141457i
$814$	2.65070	+	4.46249i	0.0929071	+	0.156410i
$815$	−30.7894	+	6.43832i	−1.07851	+	0.225524i
$816$	14.1207	−	0.700646i	0.494322	−	0.0245275i
$817$	−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
$820$	7.64129	−	7.18346i	0.266845	−	0.250857i
$821$	−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	$-0.178918\pi$
$822$	7.62505	+	7.43834i	0.265954	+	0.259442i
$823$	−1.95675	+	1.12973i	−0.0682081	+	0.0393800i	−0.533716	−	0.845664i	$-0.679205\pi$
$823$	−1.95675	+	1.12973i	−0.0682081	+	0.0393800i	0.465508	+	0.885044i	$0.345872\pi$
$824$	43.9017	−	1.63316i	1.52939	−	0.0568940i
$825$	4.29345	−	3.43008i	0.149479	−	0.119420i
$826$	57.5379	+	32.2754i	2.00200	+	1.12300i
$827$	19.2049	+	19.2049i	0.667821	+	0.667821i	0.957211	−	0.289390i	$-0.0934526\pi$
$827$	19.2049	+	19.2049i	0.667821	+	0.667821i	−0.289390	+	0.957211i	$0.593453\pi$
$828$	0.848906	+	34.2384i	0.0295015	+	1.18987i
$829$	−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	$0.752605\pi$
$830$	−12.1179	+	38.4824i	−0.420620	+	1.33574i
$831$	−7.41733			−0.257304
$832$	6.84004	+	28.0217i	0.237136	+	0.971477i
$833$		−	58.4920i		−	2.02663i
$834$	2.02740	−	0.0251298i	0.0702031	−	0.000870173i
$835$	17.4541	+	19.5139i	0.604023	+	0.675306i
$836$	10.4056	−	0.257996i	0.359886	−	0.00892299i
$837$	4.44889	+	4.44889i	0.153776	+	0.153776i
$838$	25.5889	−	45.6177i	0.883952	−	1.57584i
$839$	7.79941	+	2.08985i	0.269265	+	0.0721495i	0.390925	−	0.920422i	$-0.372155\pi$
$839$	7.79941	+	2.08985i	0.269265	+	0.0721495i	−0.121660	+	0.992572i	$0.538822\pi$
$840$	12.9398	+	3.72477i	0.446464	+	0.128517i
$841$	12.0500	+	20.8713i	0.415518	+	0.719698i
$842$	−32.0180	−	31.2340i	−1.10341	−	1.07640i
$843$	−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
$848$	1.40740	+	28.3645i	0.0483303	+	0.974039i
$849$	5.10217	−	2.94574i	0.175106	−	0.101097i
$850$	4.61591	−	46.5068i	0.158324	−	1.59517i
$851$	2.91626	−	10.8836i	0.0999683	−	0.373087i
$852$	−10.5944	−	10.0817i	−0.362958	−	0.345395i
$853$	−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	$0.884867\pi$
$854$	−3.94820	−	14.0366i	−0.135105	−	0.480324i
$855$	−10.2453	−	11.4544i	−0.350381	−	0.391731i
$856$	33.1564	+	17.5329i	1.13326	+	0.599262i
$857$	25.0654			0.856218			0.428109	−	0.903727i	$-0.359180\pi$
$857$	25.0654			0.856218			0.428109	+	0.903727i	$0.359180\pi$
$858$	−5.58428	−	0.472183i	−0.190644	−	0.0161201i
$859$			21.0538i			0.718345i	0.933271	+	0.359173i	$0.116941\pi$
$859$			21.0538i			0.718345i	−0.933271	+	0.359173i	$0.883059\pi$
$860$	14.6354	+	9.06332i	0.499063	+	0.309057i
$861$	−2.49641	+	4.32391i	−0.0850775	+	0.147359i
$862$	9.36521	+	33.2952i	0.318980	+	1.13404i
$863$	−9.00202	+	9.00202i	−0.306432	+	0.306432i	−0.843524	−	0.537092i	$-0.819523\pi$
$863$	−9.00202	+	9.00202i	−0.306432	+	0.306432i	0.537092	+	0.843524i	$0.319523\pi$
$864$	1.07055	+	17.2525i	0.0364207	+	0.586941i
$865$	−6.23571	+	9.53310i	−0.212020	+	0.324135i
$866$	−47.7355	+	28.3547i	−1.62212	+	0.963533i
$867$	7.13487	+	12.3580i	0.242313	+	0.419698i
$868$	−13.9905	+	8.54665i	−0.474869	+	0.290092i
$869$	−30.0502	+	8.05193i	−1.01938	+	0.273143i
$870$	−3.15788	−	2.01017i	−0.107062	−	0.0681510i
$871$	−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
$874$	−16.1746	−	15.7786i	−0.547115	−	0.533718i
$875$	18.5061	−	40.4816i	0.625621	−	1.36853i
$876$	1.01547	+	3.44577i	0.0343096	+	0.116422i
$877$	−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	$0.913185\pi$
$878$	−35.8462	−	20.1076i	−1.20975	−	0.678599i
$879$	5.39011	−	5.39011i	0.181804	−	0.181804i
$880$	−13.0772	+	12.9190i	−0.440832	+	0.435500i
$881$	−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	$0.930879\pi$
$882$	33.9650	−	0.420998i	1.14366	−	0.0141758i
$883$		−	26.8681i		−	0.904184i	−0.891971	−	0.452092i	$-0.850678\pi$
$883$		−	26.8681i		−	0.904184i	0.891971	−	0.452092i	$-0.149322\pi$
$884$	−36.0372	+	31.1910i	−1.21206	+	1.04907i
$885$	−13.3114	−	4.37378i	−0.447458	−	0.147023i
$886$	−0.477257	−	38.5037i	−0.0160338	−	1.29356i
$887$	−9.37571	+	16.2392i	−0.314806	+	0.545259i	−0.979396	−	0.201948i	$-0.935273\pi$
$887$	−9.37571	+	16.2392i	−0.314806	+	0.545259i	0.664591	+	0.747208i	$0.268606\pi$
$888$	0.601622	−	2.63325i	0.0201891	−	0.0883660i
$889$	46.1141	−	46.1141i	1.54662	−	1.54662i
$890$	−0.549762	+	0.504134i	−0.0184281	+	0.0168986i
$891$	12.9195	+	3.46177i	0.432820	+	0.115974i
$892$	4.64413	+	15.7588i	0.155497	+	0.527644i
$893$	5.71481	−	3.29945i	0.191239	−	0.110412i
$894$	5.00173	+	4.87926i	0.167283	+	0.163187i
$895$	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
$900$	27.0386	+	2.34562i	0.901288	+	0.0781873i
$901$	−40.6386	+	23.4627i	−1.35387	+	0.781657i
$902$	−3.48096	−	5.86024i	−0.115903	−	0.195125i
$903$	−7.91598	−	2.12108i	−0.263427	−	0.0705852i
$904$	−20.2954	−	32.3154i	−0.675014	−	1.07479i
$905$	−12.9469	+	6.54301i	−0.430369	+	0.217497i
$906$	−5.25266	+	1.47746i	−0.174508	+	0.0490853i
$907$	41.6430	+	24.0426i	1.38273	+	0.798321i	0.992482	−	0.122388i	$-0.0390551\pi$
$907$	41.6430	+	24.0426i	1.38273	+	0.798321i	0.390250	+	0.920709i	$0.372388\pi$
$908$	−4.59236	−	1.10929i	−0.152403	−	0.0368130i
$909$			38.8409i			1.28827i
$910$	−42.0939	+	16.9879i	−1.39540	+	0.563144i
$911$			22.4591i			0.744104i	0.928212	+	0.372052i	$0.121346\pi$
$911$			22.4591i			0.744104i	−0.928212	+	0.372052i	$0.878654\pi$
$912$	−4.01536	−	3.63573i	−0.132962	−	0.120391i
$913$	22.7081	+	13.1105i	0.751528	+	0.433895i
$914$	10.0592	+	35.7623i	0.332727	+	1.18291i
$915$	1.39683	+	2.76396i	0.0461779	+	0.0913738i
$916$	3.64180	+	3.46558i	0.120328	+	0.114506i
$917$	−35.2970	−	9.45780i	−1.16561	−	0.312324i
$918$	−24.5564	+	14.5864i	−0.810481	+	0.481422i
$919$	−19.5568	+	11.2911i	−0.645118	+	0.372459i	−0.786583	−	0.617484i	$-0.788152\pi$
$919$	−19.5568	+	11.2911i	−0.645118	+	0.372459i	0.141465	+	0.989943i	$0.454819\pi$
$920$	39.8988	+	0.737339i	1.31543	+	0.0243093i
$921$	−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
$926$	−1.50367	+	1.54141i	−0.0494136	+	0.0506540i
$927$	−36.5073	+	21.0775i	−1.19906	+	0.692276i
$928$	11.2112	+	5.57733i	0.368027	+	0.183085i
$929$	−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	$0.757533\pi$
$930$	2.56632	−	2.35332i	0.0841528	−	0.0771685i
$931$	−15.8466	+	15.8466i	−0.519350	+	0.519350i
$932$	−1.99792	+	0.0495363i	−0.0654439	+	0.00162262i
$933$	−0.916229	+	1.58695i	−0.0299960	+	0.0519546i
$934$	−6.20428	+	0.0769026i	−0.203010	+	0.00251633i
$935$	−28.8563	−	9.48142i	−0.943702	−	0.310076i
$936$	−18.3713	−	20.7014i	−0.600484	−	0.676648i
$937$		−	29.2428i		−	0.955322i	−0.878544	−	0.477661i	$-0.841485\pi$
$937$		−	29.2428i		−	0.955322i	0.878544	−	0.477661i	$-0.158515\pi$
$938$	−0.308337	−	24.8758i	−0.0100676	−	0.812223i
$939$	6.27374	+	3.62215i	0.204736	+	0.118204i
$940$	−3.36230	+	11.1584i	−0.109666	+	0.363946i
$941$	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	$0.169759\pi$
$942$	−0.992606	+	1.76954i	−0.0323408	+	0.0576546i
$943$	−3.82970	+	14.2926i	−0.124712	+	0.465432i
$944$	45.8182	+	9.87226i	1.49125	+	0.321315i
$945$	−26.6266	+	5.56784i	−0.866163	+	0.181122i
$946$	7.81244	−	8.00854i	0.254004	−	0.260380i
$947$	−17.5633	+	4.70606i	−0.570729	+	0.152926i	−0.532631	−	0.846348i	$-0.678797\pi$
$947$	−17.5633	+	4.70606i	−0.570729	+	0.152926i	−0.0380982	+	0.999274i	$0.512130\pi$
$948$	14.2172	+	7.74495i	0.461754	+	0.251544i
$949$	−9.85359	−	7.03975i	−0.319861	−	0.228520i
$950$	−13.8501	+	11.3490i	−0.449356	+	0.368210i
$951$	−13.6640	+	3.66125i	−0.443085	+	0.118724i
$952$	−21.9217	−	71.1231i	−0.710486	−	2.30511i
$953$	−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	$0.951591\pi$
$954$	−13.9168	−	23.4290i	−0.450572	−	0.758543i
$955$	−2.68517	−	1.75640i	−0.0868902	−	0.0568359i
$956$	34.8177	+	33.1329i	1.12608	+	1.07159i
$957$	−1.72032	+	1.72032i	−0.0556099	+	0.0556099i
$958$	−21.6984	+	6.10329i	−0.701043	+	0.197188i
$959$	28.0375	−	48.5624i	0.905378	−	1.56816i
$960$	9.56463	−	0.178930i	0.308697	−	0.00577493i
$961$		−	26.7605i		−	0.863243i
$962$	3.87224	+	8.24132i	0.124846	+	0.265711i
$963$	−35.9896			−1.15975
$964$	10.4118	−	43.1042i	0.335343	−	1.38829i
$965$	−32.1270	+	28.7358i	−1.03420	+	0.925038i
$966$	−18.2880	+	5.14403i	−0.588408	+	0.165506i
$967$	30.7076	−	30.7076i	0.987490	−	0.987490i	−0.0124323	−	0.999923i	$-0.503957\pi$
$967$	30.7076	−	30.7076i	0.987490	−	0.987490i	0.999923	+	0.0124323i	$0.00395743\pi$
$968$	−10.1932	−	16.2302i	−0.327623	−	0.521659i
$969$	2.31653	−	8.64542i	0.0744178	−	0.277731i
$970$	4.15496	+	18.7094i	0.133408	+	0.600721i
$971$	23.0776	−	13.3239i	0.740595	−	0.427583i	−0.0816904	−	0.996658i	$-0.526032\pi$
$971$	23.0776	−	13.3239i	0.740595	−	0.427583i	0.822286	+	0.569075i	$0.192699\pi$
$972$	−13.1865	−	21.5857i	−0.422956	−	0.692361i
$973$	−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	$0.614410\pi$
$978$	7.42897	−	7.61545i	0.237552	−	0.243515i
$979$	0.242391	+	0.419834i	0.00774686	+	0.0134180i
$980$	1.22167	−	39.5589i	0.0390249	−	1.26366i
$981$	22.3852	+	5.99809i	0.714703	+	0.191504i
$982$	−24.8974	−	13.9660i	−0.794507	−	0.445671i
$983$	−0.00328104	−	0.00328104i	−0.000104649	−	0.000104649i	0.707054	−	0.707159i	$-0.250024\pi$
$983$	−0.00328104	−	0.00328104i	−0.000104649	−	0.000104649i	−0.707159	+	0.707054i	$0.750024\pi$
$984$	−0.790063	+	3.45804i	−0.0251863	+	0.110238i
$985$	23.8102	+	26.6201i	0.758657	+	0.848188i
$986$	0.256441	+	20.6889i	0.00816673	+	0.658869i
$987$		−	5.54805i		−	0.176596i
$988$	18.2133	+	1.31291i	0.579443	+	0.0417693i
$989$	−24.2875			−0.772298
$990$	5.29795	−	16.8244i	0.168380	−	0.534715i
$991$	−33.9682	−	19.6115i	−1.07903	−	0.622981i	−0.148398	−	0.988928i	$-0.547412\pi$
$991$	−33.9682	−	19.6115i	−1.07903	−	0.622981i	−0.930636	+	0.365947i	$0.880745\pi$
$992$	−7.71010	+	8.73025i	−0.244796	+	0.277186i
$993$	−6.20446	−	6.20446i	−0.196892	−	0.196892i
$994$	−37.6641	+	67.1445i	−1.19463	+	2.12969i
$995$	−0.161157	+	0.246375i	−0.00510902	+	0.00781063i
$996$	−3.85735	−	13.0890i	−0.122225	−	0.414741i
$997$	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	$0.0680411\pi$
$998$	−3.32067	+	3.40402i	−0.105114	+	0.107752i
$999$	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.19.19	yes	144
4.3	odd	2	inner	260.2.bc.c.19.13	✓	144
5.4	even	2	inner	260.2.bc.c.19.18	yes	144
13.11	odd	12	inner	260.2.bc.c.219.24	yes	144
20.19	odd	2	inner	260.2.bc.c.19.24	yes	144
52.11	even	12	inner	260.2.bc.c.219.18	yes	144
65.24	odd	12	inner	260.2.bc.c.219.13	yes	144
260.219	even	12	inner	260.2.bc.c.219.19	yes	144

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

\(f(q)\)	\(=\)	\(q+(0.0175279 + 1.41410i) q^{2} +(0.267386 - 0.463127i) q^{3} +(-1.99939 + 0.0495727i) q^{4} +(-1.00857 - 1.99569i) q^{5} +(0.659597 + 0.369995i) q^{6} +(1.03041 - 3.84553i) q^{7} +(-0.105146 - 2.82647i) q^{8} +(1.35701 + 2.35041i) q^{9} +O(q^{10})\)	\(q+(0.0175279 + 1.41410i) q^{2} +(0.267386 - 0.463127i) q^{3} +(-1.99939 + 0.0495727i) q^{4} +(-1.00857 - 1.99569i) q^{5} +(0.659597 + 0.369995i) q^{6} +(1.03041 - 3.84553i) q^{7} +(-0.105146 - 2.82647i) q^{8} +(1.35701 + 2.35041i) q^{9} +(2.80444 - 1.46120i) 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} +(3.99509 - 0.198230i) q^{16} +(3.30468 + 5.72388i) q^{17} +(-3.29994 + 1.96015i) q^{18} +(0.655404 - 2.44600i) q^{19} +(2.11545 + 3.94016i) q^{20} +(-1.50545 - 1.50545i) q^{21} +(2.79794 - 0.787001i) q^{22} +(-5.46431 - 3.15482i) q^{23} +(-1.33713 - 0.707064i) q^{24} +(-2.96557 + 4.02559i) q^{25} +(5.01895 - 0.900051i) q^{26} +3.05570 q^{27} +(-1.86955 + 7.73978i) q^{28} +(1.10679 - 1.91702i) q^{29} +(0.0731460 - 1.68952i) q^{30} +(1.45593 + 1.45593i) q^{31} +(0.350344 + 5.64599i) q^{32} +(-1.06162 - 0.284462i) q^{33} +(-8.03624 + 4.77350i) q^{34} +(-8.71374 + 1.82211i) q^{35} +(-2.82970 - 4.63210i) q^{36} +(0.462192 + 1.72492i) q^{37} +(3.47039 + 0.883937i) q^{38} +(-1.80553 - 0.676619i) q^{39} +(-5.53472 + 3.06053i) q^{40} +(-0.606961 - 2.26521i) q^{41} +(2.10248 - 2.15526i) q^{42} +(3.33357 - 1.92464i) q^{43} +(1.16194 + 3.94279i) q^{44} +(3.32205 - 5.07872i) q^{45} +(4.36547 - 7.78240i) q^{46} +(1.84265 + 1.84265i) q^{47} +(0.976426 - 1.90324i) q^{48} +(-7.66421 - 4.42493i) q^{49} +(-5.74459 - 4.12307i) q^{50} +3.53451 q^{51} +(1.36074 + 7.08155i) q^{52} +7.09984i q^{53} +(0.0535602 + 4.32108i) q^{54} +(-3.42534 + 3.06377i) q^{55} +(-10.9776 - 2.50808i) q^{56} +(-0.957563 - 0.957563i) q^{57} +(2.73027 + 1.53152i) q^{58} +(11.3182 + 3.03269i) q^{59} +(2.39044 + 0.0738223i) q^{60} +(-1.29491 - 2.24285i) q^{61} +(-2.03332 + 2.08436i) 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} +(-6.89109 - 11.2804i) q^{68} +(-2.92216 + 1.68711i) q^{69} +(-2.72939 - 12.2902i) q^{70} +(-3.53903 + 13.2078i) q^{71} +(6.50068 - 4.08268i) q^{72} +(2.37496 - 2.37496i) q^{73} +(-2.43112 + 0.683823i) q^{74} +(1.07141 + 2.44982i) q^{75} +(-1.18915 + 4.92299i) q^{76} -8.18221 q^{77} +(0.925163 - 2.56507i) q^{78} -15.1372i q^{79} +(-4.42493 - 7.77303i) q^{80} +(-3.25397 + 5.63605i) q^{81} +(3.19260 - 0.898011i) q^{82} +(-9.02147 + 9.02147i) q^{83} +(3.08461 + 2.93535i) q^{84} +(8.09010 - 12.3681i) q^{85} +(2.78007 + 4.68028i) q^{86} +(-0.591882 - 1.02517i) q^{87} +(-5.55515 + 1.71222i) q^{88} +(-0.227842 + 0.0610500i) q^{89} +(7.24008 + 4.60871i) q^{90} +(-14.2873 - 1.38662i) q^{91} +(11.0816 + 6.03682i) q^{92} +(1.06358 - 0.284984i) q^{93} +(-2.57340 + 2.63800i) q^{94} +(-5.54249 + 1.15898i) q^{95} +(2.70849 + 1.34741i) q^{96} +(-1.56859 + 5.85405i) q^{97} +(6.12298 - 10.9156i) 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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