LMFDB - Embedded newform 260.2.p.d.207.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(103,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 3, 2]))

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

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

chi := DirichletCharacter("260.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			207.13
Character	$\chi$	$=$	260.207
Dual form			260.2.p.d.103.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.528615 - 1.31170i) q^{2} +(0.834468 + 0.834468i) q^{3} +(-1.44113 + 1.38677i) q^{4} +(0.462357 - 2.18774i) q^{5} +(0.653463 - 1.53569i) q^{6} +(-1.21162 - 1.21162i) q^{7} +(2.58084 + 1.15727i) q^{8} -1.60733i q^{9} +O(q^{10})$	\(q+(-0.528615 - 1.31170i) q^{2} +(0.834468 + 0.834468i) q^{3} +(-1.44113 + 1.38677i) q^{4} +(0.462357 - 2.18774i) q^{5} +(0.653463 - 1.53569i) q^{6} +(-1.21162 - 1.21162i) q^{7} +(2.58084 + 1.15727i) q^{8} -1.60733i q^{9} +(-3.11408 + 0.549999i) q^{10} +0.135866 q^{11} +(-2.35980 - 0.0453632i) q^{12} +(3.45898 - 1.01757i) q^{13} +(-0.948804 + 2.22976i) q^{14} +(2.21142 - 1.43978i) q^{15} +(0.153730 - 3.99704i) q^{16} +(-1.10965 - 1.10965i) q^{17} +(-2.10834 + 0.849657i) q^{18} -6.12150i q^{19} +(2.36758 + 3.79401i) q^{20} -2.02211i q^{21} +(-0.0718210 - 0.178217i) q^{22} +(4.72792 + 4.72792i) q^{23} +(1.18792 + 3.11933i) q^{24} +(-4.57245 - 2.02304i) q^{25} +(-3.16322 - 3.99926i) q^{26} +(3.84467 - 3.84467i) q^{27} +(3.42634 + 0.0658656i) q^{28} +4.39615i q^{29} +(-3.05756 - 2.13964i) q^{30} -3.12087 q^{31} +(-5.32420 + 1.91125i) q^{32} +(0.113376 + 0.113376i) q^{33} +(-0.868956 + 2.04211i) q^{34} +(-3.21091 + 2.09051i) q^{35} +(2.22900 + 2.31637i) q^{36} +(-6.39942 + 6.39942i) q^{37} +(-8.02960 + 3.23592i) q^{38} +(3.73554 + 2.03728i) q^{39} +(3.72508 - 5.11114i) q^{40} +2.92506i q^{41} +(-2.65241 + 1.06892i) q^{42} +(1.51561 + 1.51561i) q^{43} +(-0.195802 + 0.188416i) q^{44} +(-3.51642 - 0.743158i) q^{45} +(3.70239 - 8.70089i) q^{46} +(8.14297 + 8.14297i) q^{47} +(3.46369 - 3.20712i) q^{48} -4.06397i q^{49} +(-0.236559 + 7.06711i) q^{50} -1.85194i q^{51} +(-3.57372 + 6.26327i) q^{52} +(-5.39849 + 5.39849i) q^{53} +(-7.07541 - 3.01072i) q^{54} +(0.0628188 - 0.297241i) q^{55} +(-1.72481 - 4.52915i) q^{56} +(5.10820 - 5.10820i) q^{57} +(5.76645 - 2.32387i) q^{58} -5.47588i q^{59} +(-1.19031 + 5.14166i) q^{60} +11.7875 q^{61} +(1.64974 + 4.09366i) q^{62} +(-1.94746 + 1.94746i) q^{63} +(5.32144 + 5.97346i) q^{64} +(-0.626900 - 8.03785i) q^{65} +(0.0887836 - 0.208648i) q^{66} +(7.10562 + 7.10562i) q^{67} +(3.13799 + 0.0603226i) q^{68} +7.89060i q^{69} +(4.43946 + 3.10668i) q^{70} -4.49049 q^{71} +(1.86011 - 4.14825i) q^{72} +(6.04423 + 6.04423i) q^{73} +(11.7770 + 5.01132i) q^{74} +(-2.12741 - 5.50372i) q^{75} +(8.48913 + 8.82190i) q^{76} +(-0.164618 - 0.164618i) q^{77} +(0.697647 - 5.97685i) q^{78} +0.944179 q^{79} +(-8.67344 - 2.18438i) q^{80} +1.59452 q^{81} +(3.83681 - 1.54623i) q^{82} +(-4.61273 + 4.61273i) q^{83} +(2.80420 + 2.91413i) q^{84} +(-2.94069 + 1.91458i) q^{85} +(1.18686 - 2.78920i) q^{86} +(-3.66845 + 3.66845i) q^{87} +(0.350649 + 0.157234i) q^{88} +3.22796 q^{89} +(0.884028 + 5.00535i) q^{90} +(-5.42386 - 2.95805i) q^{91} +(-13.3701 - 0.257018i) q^{92} +(-2.60427 - 2.60427i) q^{93} +(6.37667 - 14.9857i) q^{94} +(-13.3923 - 2.83032i) q^{95} +(-6.03775 - 2.84800i) q^{96} +(2.31733 - 2.31733i) q^{97} +(-5.33073 + 2.14827i) q^{98} -0.218382i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q+O(q^{10}) $ 64 * q	$ 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) $ 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Display 100 coefficients 10 coefficients

Character values

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

$n$	$41$	$131$	$157$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	−0.528615	−	1.31170i	−0.373787	−	0.927515i
$2$	−0.528615	−	1.31170i	−0.373787	−	0.927515i
$3$	0.834468	+	0.834468i	0.481780	+	0.481780i	0.905700	−	0.423920i	$-0.139346\pi$
$3$	0.834468	+	0.834468i	0.481780	+	0.481780i	−0.423920	+	0.905700i	$0.639346\pi$
$4$	−1.44113	+	1.38677i	−0.720567	+	0.693386i
$5$	0.462357	−	2.18774i	0.206772	−	0.978389i
$5$	0.462357	−	2.18774i	0.206772	−	0.978389i
$6$	0.653463	−	1.53569i	0.266775	−	0.626941i
$7$	−1.21162	−	1.21162i	−0.457948	−	0.457948i	0.440033	−	0.897981i	$-0.354967\pi$
$7$	−1.21162	−	1.21162i	−0.457948	−	0.457948i	−0.897981	+	0.440033i	$0.854967\pi$
$8$	2.58084	+	1.15727i	0.912464	+	0.409158i
$9$		−	1.60733i		−	0.535776i
$10$	−3.11408	+	0.549999i	−0.984759	+	0.173925i
$11$	0.135866			0.0409653			0.0204826	−	0.999790i	$-0.493480\pi$
$11$	0.135866			0.0409653			0.0204826	+	0.999790i	$0.493480\pi$
$12$	−2.35980	−	0.0453632i	−0.681214	−	0.0130952i
$13$	3.45898	−	1.01757i	0.959349	−	0.282223i
$13$	3.45898	−	1.01757i	0.959349	−	0.282223i
$14$	−0.948804	+	2.22976i	−0.253578	+	0.595928i
$15$	2.21142	−	1.43978i	0.570987	−	0.371750i
$16$	0.153730	−	3.99704i	0.0384325	−	0.999261i
$17$	−1.10965	−	1.10965i	−0.269130	−	0.269130i	0.559620	−	0.828750i	$-0.310947\pi$
$17$	−1.10965	−	1.10965i	−0.269130	−	0.269130i	−0.828750	+	0.559620i	$0.810947\pi$
$18$	−2.10834	+	0.849657i	−0.496940	+	0.200266i
$19$		−	6.12150i		−	1.40437i	−0.711995	−	0.702185i	$-0.752208\pi$
$19$		−	6.12150i		−	1.40437i	0.711995	−	0.702185i	$-0.247792\pi$
$20$	2.36758	+	3.79401i	0.529408	+	0.848367i
$21$		−	2.02211i		−	0.441261i
$22$	−0.0718210	−	0.178217i	−0.0153123	−	0.0379959i
$23$	4.72792	+	4.72792i	0.985840	+	0.985840i	0.999901	−	0.0140607i	$-0.00447582\pi$
$23$	4.72792	+	4.72792i	0.985840	+	0.985840i	−0.0140607	+	0.999901i	$0.504476\pi$
$24$	1.18792	+	3.11933i	0.242483	+	0.636731i
$25$	−4.57245	−	2.02304i	−0.914491	−	0.404607i
$26$	−3.16322	−	3.99926i	−0.620358	−	0.784319i
$27$	3.84467	−	3.84467i	0.739906	−	0.739906i
$28$	3.42634	+	0.0658656i	0.647517	+	0.0124474i
$29$			4.39615i			0.816345i	0.912905	+	0.408172i	$0.133834\pi$
$29$			4.39615i			0.816345i	−0.912905	+	0.408172i	$0.866166\pi$
$30$	−3.05756	−	2.13964i	−0.558231	−	0.390644i
$31$	−3.12087			−0.560525			−0.280263	−	0.959923i	$-0.590422\pi$
$31$	−3.12087			−0.560525			−0.280263	+	0.959923i	$0.590422\pi$
$32$	−5.32420	+	1.91125i	−0.941195	+	0.337864i
$33$	0.113376	+	0.113376i	0.0197363	+	0.0197363i
$34$	−0.868956	+	2.04211i	−0.149025	+	0.350219i
$35$	−3.21091	+	2.09051i	−0.542742	+	0.353360i
$36$	2.22900	+	2.31637i	0.371499	+	0.386062i
$37$	−6.39942	+	6.39942i	−1.05206	+	1.05206i	−0.0534895	+	0.998568i	$0.517034\pi$
$37$	−6.39942	+	6.39942i	−1.05206	+	1.05206i	−0.998568	+	0.0534895i	$0.982966\pi$
$38$	−8.02960	+	3.23592i	−1.30257	+	0.524935i
$39$	3.73554	+	2.03728i	0.598165	+	0.326226i
$40$	3.72508	−	5.11114i	0.588987	−	0.808142i
$41$			2.92506i			0.456817i	0.973565	+	0.228409i	$0.0733522\pi$
$41$			2.92506i			0.456817i	−0.973565	+	0.228409i	$0.926648\pi$
$42$	−2.65241	+	1.06892i	−0.409276	+	0.164937i
$43$	1.51561	+	1.51561i	0.231128	+	0.231128i	0.813163	−	0.582035i	$-0.197744\pi$
$43$	1.51561	+	1.51561i	0.231128	+	0.231128i	−0.582035	+	0.813163i	$0.697744\pi$
$44$	−0.195802	+	0.188416i	−0.0295182	+	0.0284047i
$45$	−3.51642	−	0.743158i	−0.524197	−	0.110784i
$46$	3.70239	−	8.70089i	0.545887	−	1.28288i
$47$	8.14297	+	8.14297i	1.18777	+	1.18777i	0.977681	+	0.210093i	$0.0673766\pi$
$47$	8.14297	+	8.14297i	1.18777	+	1.18777i	0.210093	+	0.977681i	$0.432623\pi$
$48$	3.46369	−	3.20712i	0.499940	−	0.462908i
$49$		−	4.06397i		−	0.580567i
$50$	−0.236559	+	7.06711i	−0.0334545	+	0.999440i
$51$		−	1.85194i		−	0.259323i
$52$	−3.57372	+	6.26327i	−0.495585	+	0.868559i
$53$	−5.39849	+	5.39849i	−0.741540	+	0.741540i	−0.972874	−	0.231334i	$-0.925691\pi$
$53$	−5.39849	+	5.39849i	−0.741540	+	0.741540i	0.231334	+	0.972874i	$0.425691\pi$
$54$	−7.07541	−	3.01072i	−0.962841	−	0.409707i
$55$	0.0628188	−	0.297241i	0.00847048	−	0.0400800i
$56$	−1.72481	−	4.52915i	−0.230488	−	0.605234i
$57$	5.10820	−	5.10820i	0.676597	−	0.676597i
$58$	5.76645	−	2.32387i	0.757172	−	0.305139i
$59$		−	5.47588i		−	0.712899i	−0.934315	−	0.356449i	$-0.883987\pi$
$59$		−	5.47588i		−	0.712899i	0.934315	−	0.356449i	$-0.116013\pi$
$60$	−1.19031	+	5.14166i	−0.153668	+	0.663785i
$61$	11.7875			1.50923			0.754616	−	0.656167i	$-0.227823\pi$
$61$	11.7875			1.50923			0.754616	+	0.656167i	$0.227823\pi$
$62$	1.64974	+	4.09366i	0.209517	+	0.519895i
$63$	−1.94746	+	1.94746i	−0.245357	+	0.245357i
$64$	5.32144	+	5.97346i	0.665180	+	0.746683i
$65$	−0.626900	−	8.03785i	−0.0777573	−	0.996972i
$66$	0.0887836	−	0.208648i	0.0109285	−	0.0256828i
$67$	7.10562	+	7.10562i	0.868089	+	0.868089i	0.992261	−	0.124172i	$-0.0396273\pi$
$67$	7.10562	+	7.10562i	0.868089	+	0.868089i	−0.124172	+	0.992261i	$0.539627\pi$
$68$	3.13799	+	0.0603226i	0.380537	+	0.00731519i
$69$			7.89060i			0.949917i
$70$	4.43946	+	3.10668i	0.530617	+	0.371320i
$71$	−4.49049			−0.532923			−0.266461	−	0.963846i	$-0.585854\pi$
$71$	−4.49049			−0.532923			−0.266461	+	0.963846i	$0.585854\pi$
$72$	1.86011	−	4.14825i	0.219217	−	0.488876i
$73$	6.04423	+	6.04423i	0.707424	+	0.707424i	0.965993	−	0.258569i	$-0.0832509\pi$
$73$	6.04423	+	6.04423i	0.707424	+	0.707424i	−0.258569	+	0.965993i	$0.583251\pi$
$74$	11.7770	+	5.01132i	1.36904	+	0.582554i
$75$	−2.12741	−	5.50372i	−0.245652	−	0.635515i
$76$	8.48913	+	8.82190i	0.973769	+	1.01194i
$77$	−0.164618	−	0.164618i	−0.0187600	−	0.0187600i
$78$	0.697647	−	5.97685i	0.0789930	−	0.676745i
$79$	0.944179			0.106228			0.0531142	−	0.998588i	$-0.483085\pi$
$79$	0.944179			0.106228			0.0531142	+	0.998588i	$0.483085\pi$
$80$	−8.67344	−	2.18438i	−0.969720	−	0.244221i
$81$	1.59452			0.177169
$82$	3.83681	−	1.54623i	0.423705	−	0.170752i
$83$	−4.61273	+	4.61273i	−0.506313	+	0.506313i	−0.913393	−	0.407079i	$-0.866547\pi$
$83$	−4.61273	+	4.61273i	−0.506313	+	0.506313i	0.407079	+	0.913393i	$0.366547\pi$
$84$	2.80420	+	2.91413i	0.305964	+	0.317958i
$85$	−2.94069	+	1.91458i	−0.318962	+	0.207665i
$86$	1.18686	−	2.78920i	0.127982	−	0.300767i
$87$	−3.66845	+	3.66845i	−0.393299	+	0.393299i
$88$	0.350649	+	0.157234i	0.0373793	+	0.0167613i
$89$	3.22796			0.342163			0.171082	−	0.985257i	$-0.445274\pi$
$89$	3.22796			0.342163			0.171082	+	0.985257i	$0.445274\pi$
$90$	0.884028	+	5.00535i	0.0931847	+	0.527610i
$91$	−5.42386	−	2.95805i	−0.568575	−	0.310088i
$92$	−13.3701	−	0.257018i	−1.39393	−	0.0267960i
$93$	−2.60427	−	2.60427i	−0.270050	−	0.270050i
$94$	6.37667	−	14.9857i	0.657703	−	1.54565i
$95$	−13.3923	−	2.83032i	−1.37402	−	0.290384i
$96$	−6.03775	−	2.84800i	−0.616225	−	0.290673i
$97$	2.31733	−	2.31733i	0.235289	−	0.235289i	−0.579607	−	0.814896i	$-0.696794\pi$
$97$	2.31733	−	2.31733i	0.235289	−	0.235289i	0.814896	+	0.579607i	$0.196794\pi$
$98$	−5.33073	+	2.14827i	−0.538485	+	0.217009i
$99$		−	0.218382i		−	0.0219482i
$100$	9.39500	−	3.42548i	0.939500	−	0.342548i
$101$	2.63267			0.261960			0.130980	−	0.991385i	$-0.458188\pi$
$101$	2.63267			0.261960			0.130980	+	0.991385i	$0.458188\pi$
$102$	−2.42919	+	0.978961i	−0.240526	+	0.0969316i
$103$	−7.36490	−	7.36490i	−0.725685	−	0.725685i	0.244072	−	0.969757i	$-0.421517\pi$
$103$	−7.36490	−	7.36490i	−0.725685	−	0.725685i	−0.969757	+	0.244072i	$0.921517\pi$
$104$	10.1047	+	1.37680i	0.990845	+	0.135006i
$105$	−4.42386	−	0.934936i	−0.431724	−	0.0912404i
$106$	9.93494	+	4.22750i	0.964967	+	0.410611i
$107$	−11.9158	+	11.9158i	−1.15194	+	1.15194i	−0.165780	+	0.986163i	$0.553014\pi$
$107$	−11.9158	+	11.9158i	−1.15194	+	1.15194i	−0.986163	+	0.165780i	$0.946986\pi$
$108$	−0.209003	+	10.8723i	−0.0201113	+	1.04619i
$109$	−1.57023			−0.150401			−0.0752004	−	0.997168i	$-0.523960\pi$
$109$	−1.57023			−0.150401			−0.0752004	+	0.997168i	$0.523960\pi$
$110$	−0.423099	+	0.0747264i	−0.0403409	+	0.00712488i
$111$	−10.6802			−1.01372
$112$	−5.02915	+	4.65662i	−0.475210	+	0.440010i
$113$	0.755135	−	0.755135i	0.0710371	−	0.0710371i	−0.670696	−	0.741733i	$-0.734004\pi$
$113$	0.755135	−	0.755135i	0.0710371	−	0.0710371i	0.741733	+	0.670696i	$0.234004\pi$
$114$	−9.40071	−	4.00017i	−0.880457	−	0.374651i
$115$	12.5295	−	8.15750i	1.16838	−	0.760691i
$116$	−6.09646	−	6.33544i	−0.566042	−	0.588231i
$117$	−1.63557	−	5.55971i	−0.151208	−	0.513996i
$118$	−7.18273	+	2.89463i	−0.661224	+	0.266472i
$119$			2.68894i			0.246495i
$120$	7.37354	−	1.15662i	0.673109	−	0.105584i
$121$	−10.9815			−0.998322
$122$	−6.23103	−	15.4617i	−0.564131	−	1.39983i
$123$	−2.44087	+	2.44087i	−0.220085	+	0.220085i
$124$	4.49759	−	4.32794i	0.403896	−	0.388660i
$125$	−6.53999	+	9.06799i	−0.584955	+	0.811066i
$126$	3.58395	+	1.52504i	0.319284	+	0.135861i
$127$	15.1631	−	15.1631i	1.34551	−	1.34551i	0.455037	−	0.890472i	$-0.349626\pi$
$127$	15.1631	−	15.1631i	1.34551	−	1.34551i	0.890472	−	0.455037i	$-0.150374\pi$
$128$	5.02242	−	10.1378i	0.443923	−	0.896065i
$129$			2.52945i			0.222706i
$130$	−10.2119	+	5.07123i	−0.895642	+	0.444776i
$131$			0.235056i			0.0205370i	0.999947	+	0.0102685i	$0.00326862\pi$
$131$			0.235056i			0.0205370i	−0.999947	+	0.0102685i	$0.996731\pi$
$132$	−0.320617	−	0.00616333i	−0.0279061	−	0.000536449i
$133$	−7.41691	+	7.41691i	−0.643128	+	0.643128i
$134$	5.56433	−	13.0766i	0.480685	−	1.12965i
$135$	−6.63354	−	10.1888i	−0.570924	−	0.876908i
$136$	−1.57966	−	4.14800i	−0.135455	−	0.355688i
$137$	12.2710	−	12.2710i	1.04838	−	1.04838i	0.0496147	−	0.998768i	$-0.484201\pi$
$137$	12.2710	−	12.2710i	1.04838	−	1.04838i	0.998768	−	0.0496147i	$-0.0157993\pi$
$138$	10.3501	−	4.17109i	0.881062	−	0.355067i
$139$	−19.6129			−1.66354			−0.831772	−	0.555117i	$-0.812673\pi$
$139$	−19.6129			−1.66354			−0.831772	+	0.555117i	$0.812673\pi$
$140$	1.72829	−	7.46549i	0.146067	−	0.630949i
$141$			13.5901i			1.14449i
$142$	2.37374	+	5.89019i	0.199200	+	0.494294i
$143$	0.469960	−	0.138254i	0.0393000	−	0.0115613i
$144$	−6.42456	−	0.247094i	−0.535380	−	0.0205912i
$145$	9.61766	+	2.03259i	0.798703	+	0.168797i
$146$	4.73317	−	11.1233i	0.391720	−	0.920572i
$147$	3.39125	−	3.39125i	0.279706	−	0.279706i
$148$	0.347884	−	18.0969i	0.0285959	−	1.48756i
$149$	2.39818			0.196467			0.0982333	−	0.995163i	$-0.468681\pi$
$149$	2.39818			0.196467			0.0982333	+	0.995163i	$0.468681\pi$
$150$	−6.09468	+	5.69987i	−0.497628	+	0.465393i
$151$	5.63264			0.458378			0.229189	−	0.973382i	$-0.426393\pi$
$151$	5.63264			0.458378			0.229189	+	0.973382i	$0.426393\pi$
$152$	7.08424	−	15.7986i	0.574608	−	1.28144i
$153$	−1.78357	+	1.78357i	−0.144193	+	0.144193i
$154$	−0.128911	+	0.302950i	−0.0103879	+	0.0244124i
$155$	−1.44296	+	6.82767i	−0.115901	+	0.548412i
$156$	−8.20865	+	2.24435i	−0.657218	+	0.179691i
$157$	−3.62360	−	3.62360i	−0.289195	−	0.289195i	0.547567	−	0.836762i	$-0.315554\pi$
$157$	−3.62360	−	3.62360i	−0.289195	−	0.289195i	−0.836762	+	0.547567i	$0.815554\pi$
$158$	−0.499107	−	1.23848i	−0.0397068	−	0.0985284i
$159$	−9.00974			−0.714519
$160$	1.71964	+	12.5317i	0.135950	+	0.990716i
$161$		−	11.4569i		−	0.902927i
$162$	−0.842886	−	2.09154i	−0.0662233	−	0.164327i
$163$	−6.40798	+	6.40798i	−0.501911	+	0.501911i	−0.912032	−	0.410120i	$-0.865487\pi$
$163$	−6.40798	+	6.40798i	−0.501911	+	0.501911i	0.410120	+	0.912032i	$0.365487\pi$
$164$	−4.05639	−	4.21540i	−0.316751	−	0.329167i
$165$	0.300458	−	0.195618i	0.0233906	−	0.0152288i
$166$	8.48890	+	3.61218i	0.658866	+	0.280360i
$167$	5.94641	+	5.94641i	0.460147	+	0.460147i	0.898704	−	0.438556i	$-0.144510\pi$
$167$	5.94641	+	5.94641i	0.460147	+	0.460147i	−0.438556	+	0.898704i	$0.644510\pi$
$168$	2.34013	−	5.21874i	0.180545	−	0.402634i
$169$	10.9291	−	7.03951i	0.840700	−	0.541501i
$170$	4.06585	+	2.84524i	0.311837	+	0.218220i
$171$	−9.83926			−0.752427
$172$	−4.28599	−	0.0823911i	−0.326804	−	0.00628226i
$173$	8.64623	−	8.64623i	0.657361	−	0.657361i	−0.297394	−	0.954755i	$-0.596117\pi$
$173$	8.64623	−	8.64623i	0.657361	−	0.657361i	0.954755	+	0.297394i	$0.0961175\pi$
$174$	6.75111	+	2.87272i	0.511800	+	0.217780i
$175$	3.08891	+	7.99120i	0.233500	+	0.604078i
$176$	0.0208867	−	0.543064i	0.00157440	−	0.0409350i
$177$	4.56944	−	4.56944i	0.343460	−	0.343460i
$178$	−1.70635	−	4.23413i	−0.127896	−	0.317361i
$179$	12.7865			0.955706			0.477853	−	0.878440i	$-0.341415\pi$
$179$	12.7865			0.955706			0.477853	+	0.878440i	$0.341415\pi$
$180$	6.09822	−	3.80548i	0.454535	−	0.283644i
$181$	−4.48458			−0.333337			−0.166668	−	0.986013i	$-0.553301\pi$
$181$	−4.48458			−0.333337			−0.166668	+	0.986013i	$0.553301\pi$
$182$	−1.01296	+	8.67817i	−0.0750854	+	0.643269i
$183$	9.83627	+	9.83627i	0.727118	+	0.727118i
$184$	6.73051	+	17.6735i	0.496180	+	1.30291i
$185$	11.0415	+	16.9591i	0.811786	+	1.24686i
$186$	−2.03937	+	4.79268i	−0.149534	+	0.351416i
$187$	−0.150764	−	0.150764i	−0.0110250	−	0.0110250i
$188$	−23.0275	−	0.442666i	−1.67946	−	0.0322848i
$189$	−9.31652			−0.677677
$190$	3.36682	+	19.0629i	0.244255	+	1.38296i
$191$			23.2641i			1.68333i	0.540000	+	0.841665i	$0.318424\pi$
$191$			23.2641i			1.68333i	−0.540000	+	0.841665i	$0.681576\pi$
$192$	−0.544090	+	9.42523i	−0.0392663	+	0.680208i
$193$	−0.896999	−	0.896999i	−0.0645674	−	0.0645674i	0.674086	−	0.738653i	$-0.264538\pi$
$193$	−0.896999	−	0.896999i	−0.0645674	−	0.0645674i	−0.738653	+	0.674086i	$0.764538\pi$
$194$	−4.26463	−	1.81468i	−0.306182	−	0.130286i
$195$	6.18420	−	7.23045i	0.442860	−	0.517783i
$196$	5.63580	+	5.85672i	0.402557	+	0.418337i
$197$	−6.48712	+	6.48712i	−0.462188	+	0.462188i	−0.899372	−	0.437184i	$-0.855976\pi$
$197$	−6.48712	+	6.48712i	−0.462188	+	0.462188i	0.437184	+	0.899372i	$0.355976\pi$
$198$	−0.286452	+	0.115440i	−0.0203573	+	0.00820395i
$199$	−6.60481			−0.468203			−0.234101	−	0.972212i	$-0.575215\pi$
$199$	−6.60481			−0.468203			−0.234101	+	0.972212i	$0.575215\pi$
$200$	−9.45955	−	10.5127i	−0.668891	−	0.743360i
$201$			11.8588i			0.836456i
$202$	−1.39167	−	3.45328i	−0.0979173	−	0.242972i
$203$	5.32645	−	5.32645i	0.373843	−	0.373843i
$204$	2.56821	+	2.66889i	0.179811	+	0.186859i
$205$	6.39928	+	1.35242i	0.446945	+	0.0944571i
$206$	−5.76737	+	13.5538i	−0.401832	+	0.944335i
$207$	7.59932	−	7.59932i	0.528189	−	0.528189i
$208$	−3.53552	−	13.9821i	−0.245144	−	0.969487i
$209$		−	0.831707i		−	0.0575304i
$210$	1.11216	+	6.29701i	0.0767462	+	0.434535i
$211$		−	6.75732i		−	0.465193i	−0.972573	−	0.232596i	$-0.925278\pi$
$211$		−	6.75732i		−	0.465193i	0.972573	−	0.232596i	$-0.0747221\pi$
$212$	0.293472	−	15.2664i	0.0201557	−	1.04850i
$213$	−3.74717	−	3.74717i	−0.256752	−	0.256752i
$214$	21.9288	+	9.33112i	1.49902	+	0.637862i
$215$	4.01651	−	2.61501i	0.273924	−	0.178342i
$216$	14.3718	−	5.47313i	0.977876	−	0.372399i
$217$	3.78130	+	3.78130i	0.256691	+	0.256691i
$218$	0.830047	+	2.05968i	0.0562179	+	0.139499i
$219$			10.0874i			0.681646i
$220$	0.321675	+	0.515479i	0.0216873	+	0.0347536i
$221$	−4.96741	−	2.70912i	−0.334144	−	0.182235i
$222$	5.64572	+	14.0093i	0.378916	+	0.940241i
$223$	4.45155	−	4.45155i	0.298098	−	0.298098i	−0.542171	−	0.840268i	$-0.682397\pi$
$223$	4.45155	−	4.45155i	0.298098	−	0.298098i	0.840268	+	0.542171i	$0.182397\pi$
$224$	8.76659	+	4.13519i	0.585742	+	0.276294i
$225$	−3.25168	+	7.34943i	−0.216779	+	0.489962i
$226$	−1.38969	−	0.591338i	−0.0924407	−	0.0393352i
$227$	8.81803	+	8.81803i	0.585273	+	0.585273i	0.936348	−	0.351075i	$-0.114184\pi$
$227$	8.81803	+	8.81803i	0.585273	+	0.585273i	−0.351075	+	0.936348i	$0.614184\pi$
$228$	−0.277691	+	14.4455i	−0.0183905	+	0.956676i
$229$	−29.3112			−1.93694			−0.968470	−	0.249129i	$-0.919856\pi$
$229$	−29.3112			−1.93694			−0.968470	+	0.249129i	$0.919856\pi$
$230$	−17.3235	−	12.1228i	−1.14228	−	0.799353i
$231$		−	0.274737i		−	0.0180764i
$232$	−5.08754	+	11.3458i	−0.334014	+	0.744885i
$233$	17.8139	−	17.8139i	1.16703	−	1.16703i	0.184122	−	0.982903i	$-0.441056\pi$
$233$	17.8139	−	17.8139i	1.16703	−	1.16703i	0.982903	−	0.184122i	$-0.0589443\pi$
$234$	−6.42811	+	5.08433i	−0.420219	+	0.332373i
$235$	21.5797	−	14.0498i	1.40770	−	0.916507i
$236$	7.59379	+	7.89147i	0.494314	+	0.513691i
$237$	0.787887	+	0.787887i	0.0511787	+	0.0511787i
$238$	3.52710	−	1.42141i	0.228628	−	0.0921366i
$239$		−	15.2637i		−	0.987328i	−0.869653	−	0.493664i	$-0.835657\pi$
$239$		−	15.2637i		−	0.987328i	0.869653	−	0.493664i	$-0.164343\pi$
$240$	−5.41491	−	9.06050i	−0.349531	−	0.584853i
$241$		−	12.6676i		−	0.815990i	−0.912984	−	0.407995i	$-0.866228\pi$
$241$		−	12.6676i		−	0.815990i	0.912984	−	0.407995i	$-0.133772\pi$
$242$	5.80500	+	14.4045i	0.373160	+	0.925958i
$243$	−10.2034	−	10.2034i	−0.654550	−	0.654550i
$244$	−16.9873	+	16.3465i	−1.08750	+	1.04648i
$245$	−8.89093	−	1.87900i	−0.568021	−	0.120045i
$246$	4.49197	+	1.91142i	0.286398	+	0.121867i
$247$	−6.22906	−	21.1742i	−0.396345	−	1.34728i
$248$	−8.05446	−	3.61170i	−0.511459	−	0.229343i
$249$	−7.69836			−0.487863
$250$	15.3517	+	3.78506i	0.970924	+	0.239388i
$251$			16.0887i			1.01551i	0.861501	+	0.507755i	$0.169525\pi$
$251$			16.0887i			1.01551i	−0.861501	+	0.507755i	$0.830475\pi$
$252$	0.105868	−	5.50724i	0.00666903	−	0.346924i
$253$	0.642366	+	0.642366i	0.0403852	+	0.0403852i
$254$	−27.9050	−	11.8741i	−1.75091	−	0.745046i
$255$	−4.05156	−	0.856255i	−0.253719	−	0.0536208i
$256$	−15.9527	−	1.22893i	−0.997046	−	0.0768082i
$257$	−16.0293	−	16.0293i	−0.999880	−	0.999880i	0.000120104	−	1.00000i	$-0.499962\pi$
$257$	−16.0293	−	16.0293i	−0.999880	−	0.999880i	−1.00000		0.000120104i	$0.999962\pi$
$258$	3.31789	−	1.33710i	0.206563	−	0.0832445i
$259$	15.5073			0.963576
$260$	12.0501	+	10.7142i	0.747316	+	0.664469i
$261$	7.06605			0.437378
$262$	0.308324	−	0.124254i	0.0190483	−	0.00767645i
$263$	−1.00613	−	1.00613i	−0.0620408	−	0.0620408i	0.675406	−	0.737446i	$-0.263969\pi$
$263$	−1.00613	−	1.00613i	−0.0620408	−	0.0620408i	−0.737446	+	0.675406i	$0.763969\pi$
$264$	0.161398	+	0.423813i	0.00993338	+	0.0260839i
$265$	9.31449	+	14.3066i	0.572185	+	0.878844i
$266$	13.6495	+	5.80810i	0.836903	+	0.356118i
$267$	2.69363	+	2.69363i	0.164848	+	0.164848i
$268$	−20.0940	−	0.386274i	−1.22744	−	0.0235954i
$269$			19.2720i			1.17504i	0.809211	+	0.587519i	$0.199895\pi$
$269$			19.2720i			1.17504i	−0.809211	+	0.587519i	$0.800105\pi$
$270$	−9.85804	+	14.0872i	−0.599941	+	0.857317i
$271$	28.0613			1.70460			0.852301	−	0.523052i	$-0.175207\pi$
$271$	28.0613			1.70460			0.852301	+	0.523052i	$0.175207\pi$
$272$	−4.60591	+	4.26474i	−0.279274	+	0.258588i
$273$	−2.05764	−	6.99444i	−0.124534	−	0.423323i
$274$	−22.5826	−	9.60929i	−1.36426	−	0.580519i
$275$	−0.621243	−	0.274863i	−0.0374624	−	0.0165748i
$276$	−10.9425	−	11.3714i	−0.658659	−	0.684478i
$277$	12.7073	+	12.7073i	0.763505	+	0.763505i	0.976954	−	0.213449i	$-0.0684697\pi$
$277$	12.7073	+	12.7073i	0.763505	+	0.763505i	−0.213449	+	0.976954i	$0.568470\pi$
$278$	10.3677	+	25.7263i	0.621811	+	1.54296i
$279$			5.01626i			0.300316i
$280$	−10.7061	+	1.67937i	−0.639813	+	0.100362i
$281$			17.4196i			1.03917i	0.854420	+	0.519583i	$0.173913\pi$
$281$			17.4196i			1.03917i	−0.854420	+	0.519583i	$0.826087\pi$
$282$	17.8262	−	7.18392i	1.06153	−	0.427796i
$283$	10.9442	+	10.9442i	0.650568	+	0.650568i	0.953130	−	0.302562i	$-0.0978420\pi$
$283$	10.9442	+	10.9442i	0.650568	+	0.650568i	−0.302562	+	0.953130i	$0.597842\pi$
$284$	6.47139	−	6.22728i	0.384006	−	0.369521i
$285$	−8.81362	−	13.5372i	−0.522074	−	0.801877i
$286$	−0.429775	−	0.543365i	−0.0254131	−	0.0321298i
$287$	3.54405	−	3.54405i	0.209199	−	0.209199i
$288$	3.07200	+	8.55773i	0.181019	+	0.504269i
$289$		−	14.5373i		−	0.855138i
$290$	−2.41788	−	13.6900i	−0.141983	−	0.803903i
$291$	3.86748			0.226716
$292$	−17.0925	−	0.328575i	−1.00026	−	0.0192284i
$293$	1.56341	+	1.56341i	0.0913353	+	0.0913353i	0.751298	−	0.659963i	$-0.229428\pi$
$293$	1.56341	+	1.56341i	0.0913353	+	0.0913353i	−0.659963	+	0.751298i	$0.729428\pi$
$294$	−6.24099	−	2.65565i	−0.363982	−	0.154881i
$295$	−11.9798	−	2.53181i	−0.697492	−	0.147408i
$296$	−23.9217	+	9.10999i	−1.39042	+	0.529507i
$297$	0.522361	−	0.522361i	0.0303105	−	0.0303105i
$298$	−1.26771	−	3.14570i	−0.0734366	−	0.182226i
$299$	21.1648	+	11.5428i	1.22399	+	0.667538i
$300$	10.6983	+	4.98137i	0.617666	+	0.287600i
$301$		−	3.67267i		−	0.211689i
$302$	−2.97750	−	7.38836i	−0.171336	−	0.425152i
$303$	2.19688	+	2.19688i	0.126207	+	0.126207i
$304$	−24.4679	−	0.941058i	−1.40333	−	0.0539734i
$305$	5.45002	−	25.7880i	0.312067	−	1.47662i
$306$	3.28234	+	1.39670i	0.187639	+	0.0798438i
$307$	−12.1227	−	12.1227i	−0.691877	−	0.691877i	0.270768	−	0.962645i	$-0.412723\pi$
$307$	−12.1227	−	12.1227i	−0.691877	−	0.691877i	−0.962645	+	0.270768i	$0.912723\pi$
$308$	0.465524	+	0.00894893i	0.0265257	+	0.000509913i
$309$		−	12.2915i		−	0.699241i
$310$	9.71865	−	1.71648i	0.551982	−	0.0974893i
$311$			18.9025i			1.07186i	0.844261	+	0.535932i	$0.180040\pi$
$311$			18.9025i			1.07186i	−0.844261	+	0.535932i	$0.819960\pi$
$312$	7.28313	+	9.58092i	0.412326	+	0.542413i
$313$	5.87564	−	5.87564i	0.332111	−	0.332111i	−0.521277	−	0.853388i	$-0.674544\pi$
$313$	5.87564	−	5.87564i	0.332111	−	0.332111i	0.853388	+	0.521277i	$0.174544\pi$
$314$	−2.83760	+	6.66858i	−0.160135	+	0.376330i
$315$	3.36013	+	5.16098i	0.189322	+	0.290788i
$316$	−1.36069	+	1.30936i	−0.0765446	+	0.0736572i
$317$	−10.2637	+	10.2637i	−0.576467	+	0.576467i	−0.933928	−	0.357461i	$-0.883643\pi$
$317$	−10.2637	+	10.2637i	−0.576467	+	0.576467i	0.357461	+	0.933928i	$0.383643\pi$
$318$	4.76268	+	11.8181i	0.267078	+	0.662726i
$319$			0.597290i			0.0334418i
$320$	15.5288	−	8.88009i	0.868087	−	0.496412i
$321$	−19.8867			−1.10997
$322$	−15.0280	+	6.05626i	−0.837478	+	0.337502i
$323$	−6.79273	+	6.79273i	−0.377958	+	0.377958i
$324$	−2.29791	+	2.21123i	−0.127662	+	0.122846i
$325$	−17.8746	−	2.34486i	−0.991505	−	0.130069i
$326$	11.7927	+	5.01802i	0.653138	+	0.277922i
$327$	−1.31031	−	1.31031i	−0.0724602	−	0.0724602i
$328$	−3.38509	+	7.54910i	−0.186910	+	0.416829i
$329$		−	19.7323i		−	1.08788i
$330$	−0.415419	−	0.290706i	−0.0228681	−	0.0160028i
$331$	−16.3191			−0.896980			−0.448490	−	0.893788i	$-0.648038\pi$
$331$	−16.3191			−0.896980			−0.448490	+	0.893788i	$0.648038\pi$
$332$	0.250756	−	13.0444i	0.0137620	−	0.715903i
$333$	10.2860	+	10.2860i	0.563667	+	0.563667i
$334$	4.65657	−	10.9433i	0.254796	−	0.598790i
$335$	18.8306	−	12.2599i	1.02883	−	0.669832i
$336$	−8.08246	−	0.310859i	−0.440934	−	0.0169587i
$337$	14.5265	+	14.5265i	0.791309	+	0.791309i	0.981707	−	0.190398i	$-0.0609779\pi$
$337$	14.5265	+	14.5265i	0.791309	+	0.791309i	−0.190398	+	0.981707i	$0.560978\pi$
$338$	−15.0110	−	10.6146i	−0.816493	−	0.577356i
$339$	1.26027			0.0684485
$340$	1.58284	−	6.83723i	0.0858416	−	0.370801i
$341$	−0.424022			−0.0229621
$342$	5.20117	+	12.9062i	0.281247	+	0.697887i
$343$	−13.4053	+	13.4053i	−0.723818	+	0.723818i
$344$	2.15757	+	5.66551i	0.116328	+	0.305464i
$345$	17.2626	+	3.64827i	0.929388	+	0.196416i
$346$	−15.9118	−	6.77077i	−0.855425	−	0.363999i
$347$	−7.03773	+	7.03773i	−0.377805	+	0.377805i	−0.870310	−	0.492505i	$-0.836081\pi$
$347$	−7.03773	+	7.03773i	−0.377805	+	0.377805i	0.492505	+	0.870310i	$0.336081\pi$
$348$	0.199423	−	10.3740i	0.0106902	−	0.556106i
$349$	19.3224			1.03430			0.517152	−	0.855894i	$-0.326992\pi$
$349$	19.3224			1.03430			0.517152	+	0.855894i	$0.326992\pi$
$350$	8.84925	−	8.27601i	0.473012	−	0.442371i
$351$	9.38641	−	17.2108i	0.501010	−	0.918647i
$352$	−0.723380	+	0.259674i	−0.0385563	+	0.0138407i
$353$	−1.78993	−	1.78993i	−0.0952685	−	0.0952685i	0.657866	−	0.753135i	$-0.271459\pi$
$353$	−1.78993	−	1.78993i	−0.0952685	−	0.0952685i	−0.753135	+	0.657866i	$0.771459\pi$
$354$	−8.40923	−	3.57828i	−0.446946	−	0.190184i
$355$	−2.07621	+	9.82404i	−0.110194	+	0.521406i
$356$	−4.65192	+	4.47645i	−0.246551	+	0.237251i
$357$	−2.24384	+	2.24384i	−0.118756	+	0.118756i
$358$	−6.75912	−	16.7721i	−0.357230	−	0.886431i
$359$		−	7.57948i		−	0.400029i	−0.979793	−	0.200015i	$-0.935901\pi$
$359$		−	7.57948i		−	0.400029i	0.979793	−	0.200015i	$-0.0640990\pi$
$360$	−8.21527	−	5.98743i	−0.432983	−	0.315565i
$361$	−18.4728			−0.972252
$362$	2.37062	+	5.88245i	0.124597	+	0.309175i
$363$	−9.16374	−	9.16374i	−0.480972	−	0.480972i
$364$	11.9187	−	3.25871i	0.624707	−	0.170803i
$365$	16.0178	−	10.4286i	0.838411	−	0.545860i
$366$	7.70268	−	18.1019i	0.402625	−	0.946200i
$367$	−25.0286	+	25.0286i	−1.30648	+	1.30648i	−0.382544	+	0.923937i	$0.624952\pi$
$367$	−25.0286	+	25.0286i	−1.30648	+	1.30648i	−0.923937	+	0.382544i	$0.875048\pi$
$368$	19.6245	−	18.1709i	1.02300	−	0.947224i
$369$	4.70152			0.244752
$370$	16.4086	−	23.4480i	0.853044	−	1.21900i
$371$	13.0818			0.679173
$372$	7.36462	+	0.141573i	0.381838	+	0.00734020i
$373$	−12.9400	+	12.9400i	−0.670007	+	0.670007i	−0.957717	−	0.287711i	$-0.907106\pi$
$373$	−12.9400	+	12.9400i	−0.670007	+	0.670007i	0.287711	+	0.957717i	$0.407106\pi$
$374$	−0.118062	+	0.277454i	−0.00610484	+	0.0143468i
$375$	−13.0244	+	2.10954i	−0.672575	+	0.108936i
$376$	11.5920	+	30.4393i	0.597814	+	1.56979i
$377$	4.47339	+	15.2062i	0.230391	+	0.783159i
$378$	4.92485	+	12.2205i	0.253307	+	0.628555i
$379$		−	25.4640i		−	1.30800i	−0.756495	−	0.653999i	$-0.773090\pi$
$379$		−	25.4640i		−	1.30800i	0.756495	−	0.653999i	$-0.226910\pi$
$380$	23.2251	−	14.4932i	1.19142	−	0.743484i
$381$	25.3063			1.29648
$382$	30.5156	−	12.2977i	1.56131	−	0.629207i
$383$	23.7178	−	23.7178i	1.21192	−	1.21192i	0.241528	−	0.970394i	$-0.422351\pi$
$383$	23.7178	−	23.7178i	1.21192	−	1.21192i	0.970394	−	0.241528i	$-0.0776485\pi$
$384$	12.6507	−	4.26863i	0.645580	−	0.217833i
$385$	−0.436254	+	0.284030i	−0.0222336	+	0.0144755i
$386$	−0.702430	+	1.65076i	−0.0357528	+	0.0840217i
$387$	2.43608	−	2.43608i	0.123833	−	0.123833i
$388$	−0.125974	+	6.55319i	−0.00639537	+	0.332688i
$389$			27.0309i			1.37052i	0.728297	+	0.685262i	$0.240312\pi$
$389$			27.0309i			1.37052i	−0.728297	+	0.685262i	$0.759688\pi$
$390$	−12.7533	−	4.28971i	−0.645787	−	0.217218i
$391$		−	10.4927i		−	0.530638i
$392$	4.70312	−	10.4884i	0.237543	−	0.529747i
$393$	−0.196147	+	0.196147i	−0.00989431	+	0.00989431i
$394$	11.9384	+	5.07999i	0.601446	+	0.255926i
$395$	0.436547	−	2.06562i	0.0219651	−	0.103933i
$396$	0.302846	+	0.314717i	0.0152186	+	0.0158151i
$397$	−9.49107	+	9.49107i	−0.476343	+	0.476343i	−0.903960	−	0.427617i	$-0.859353\pi$
$397$	−9.49107	+	9.49107i	−0.476343	+	0.476343i	0.427617	+	0.903960i	$0.359353\pi$
$398$	3.49140	+	8.66356i	0.175008	+	0.434265i
$399$	−12.3783			−0.619693
$400$	−8.78909	+	17.9653i	−0.439455	+	0.898265i
$401$		−	16.6170i		−	0.829811i	−0.909864	−	0.414906i	$-0.863815\pi$
$401$		−	16.6170i		−	0.829811i	0.909864	−	0.414906i	$-0.136185\pi$
$402$	15.5553	−	6.26874i	0.775825	−	0.312656i
$403$	−10.7950	+	3.17571i	−0.537739	+	0.158193i
$404$	−3.79403	+	3.65091i	−0.188760	+	0.181640i
$405$	0.737236	−	3.48840i	0.0366336	−	0.173340i
$406$	−9.80236	−	4.17108i	−0.486483	−	0.207007i
$407$	−0.869466	+	0.869466i	−0.0430978	+	0.0430978i
$408$	2.14319	−	4.77955i	0.106104	−	0.236623i
$409$	9.84810			0.486957			0.243479	−	0.969906i	$-0.421711\pi$
$409$	9.84810			0.486957			0.243479	+	0.969906i	$0.421711\pi$
$410$	−1.60878	−	9.10887i	−0.0794519	−	0.449855i
$411$	20.4795			1.01018
$412$	20.8272	+	0.400369i	1.02608	+	0.0197248i
$413$	−6.63466	+	6.63466i	−0.326470	+	0.326470i
$414$	−13.9852	−	5.95095i	−0.687334	−	0.292473i
$415$	7.95876	+	12.2242i	0.390680	+	0.600063i
$416$	−16.4715	+	12.0287i	−0.807581	+	0.589756i
$417$	−16.3663	−	16.3663i	−0.801463	−	0.801463i
$418$	−1.09095	+	0.439652i	−0.0533603	+	0.0215041i
$419$	−35.8407			−1.75093			−0.875466	−	0.483279i	$-0.839446\pi$
$419$	−35.8407			−1.75093			−0.875466	+	0.483279i	$0.839446\pi$
$420$	7.67191	−	4.78751i	0.374351	−	0.233607i
$421$		−	29.4970i		−	1.43760i	−0.695218	−	0.718799i	$-0.744692\pi$
$421$		−	29.4970i		−	1.43760i	0.695218	−	0.718799i	$-0.255308\pi$
$422$	−8.86360	+	3.57202i	−0.431473	+	0.173883i
$423$	13.0884	−	13.0884i	0.636381	−	0.636381i
$424$	−20.1802	+	7.68511i	−0.980035	+	0.373222i
$425$	2.82896	+	7.31869i	0.137225	+	0.355009i
$426$	−2.93437	+	6.89598i	−0.142170	+	0.334111i
$427$	−14.2819	−	14.2819i	−0.691150	−	0.691150i
$428$	0.647763	−	33.6967i	0.0313108	−	1.62879i
$429$	0.507534	+	0.276798i	0.0245040	+	0.0133639i
$430$	−5.55331	−	3.88614i	−0.267804	−	0.187406i
$431$	−19.7901			−0.953253			−0.476627	−	0.879106i	$-0.658141\pi$
$431$	−19.7901			−0.953253			−0.476627	+	0.879106i	$0.658141\pi$
$432$	−14.7763	−	15.9583i	−0.710923	−	0.767796i
$433$	−2.28416	+	2.28416i	−0.109770	+	0.109770i	−0.759858	−	0.650089i	$-0.774732\pi$
$433$	−2.28416	+	2.28416i	−0.109770	+	0.109770i	0.650089	+	0.759858i	$0.274732\pi$
$434$	2.96110	−	6.95880i	0.142137	−	0.334033i
$435$	6.32949	+	9.72176i	0.303476	+	0.466122i
$436$	2.26291	−	2.17755i	0.108374	−	0.104286i
$437$	28.9420	−	28.9420i	1.38448	−	1.38448i
$438$	13.2317	−	5.33237i	0.632236	−	0.254790i
$439$	−6.80513			−0.324791			−0.162396	−	0.986726i	$-0.551922\pi$
$439$	−6.80513			−0.324791			−0.162396	+	0.986726i	$0.551922\pi$
$440$	0.506114	−	0.694432i	0.0241280	−	0.0331058i
$441$	−6.53213			−0.311054
$442$	−0.927711	+	7.94785i	−0.0441267	+	0.378041i
$443$	−15.2445	−	15.2445i	−0.724286	−	0.724286i	0.245189	−	0.969475i	$-0.421150\pi$
$443$	−15.2445	−	15.2445i	−0.724286	−	0.724286i	−0.969475	+	0.245189i	$0.921150\pi$
$444$	15.3916	−	14.8110i	0.730454	−	0.702900i
$445$	1.49247	−	7.06196i	0.0707499	−	0.334769i
$446$	−8.19227	−	3.48596i	−0.387915	−	0.165065i
$447$	2.00120	+	2.00120i	0.0946537	+	0.0946537i
$448$	0.789998	−	13.6851i	0.0373239	−	0.646560i
$449$	−8.62094			−0.406847			−0.203424	−	0.979091i	$-0.565207\pi$
$449$	−8.62094			−0.406847			−0.203424	+	0.979091i	$0.565207\pi$
$450$	11.3592	+	0.380228i	0.535476	+	0.0179241i
$451$			0.397417i			0.0187136i
$452$	−0.0410505	+	2.13545i	−0.00193085	+	0.100443i
$453$	4.70026	+	4.70026i	0.220837	+	0.220837i
$454$	6.90530	−	16.2280i	0.324082	−	0.761617i
$455$	−8.97923	+	10.4984i	−0.420953	+	0.492170i
$456$	19.0950	−	7.27185i	0.894205	−	0.340536i
$457$	−15.8492	+	15.8492i	−0.741395	+	0.741395i	−0.972846	−	0.231452i	$-0.925653\pi$
$457$	−15.8492	+	15.8492i	−0.741395	+	0.741395i	0.231452	+	0.972846i	$0.425653\pi$
$458$	15.4943	+	38.4477i	0.724003	+	1.79654i
$459$	−8.53248			−0.398262
$460$	−6.74405	+	29.1316i	−0.314443	+	1.35827i
$461$			31.2187i			1.45400i	0.686638	+	0.726999i	$0.259086\pi$
$461$			31.2187i			1.45400i	−0.686638	+	0.726999i	$0.740914\pi$
$462$	−0.360373	+	0.145230i	−0.0167661	+	0.00675671i
$463$	−17.2870	+	17.2870i	−0.803396	+	0.803396i	−0.983625	−	0.180229i	$-0.942316\pi$
$463$	−17.2870	+	17.2870i	−0.803396	+	0.803396i	0.180229	+	0.983625i	$0.442316\pi$
$464$	17.5716	+	0.675820i	0.815742	+	0.0313742i
$465$	−6.90157	+	4.49337i	−0.320053	+	0.208375i
$466$	−32.7832	−	13.9499i	−1.51865	−	0.646214i
$467$	−3.44862	+	3.44862i	−0.159583	+	0.159583i	−0.782382	−	0.622799i	$-0.785995\pi$
$467$	−3.44862	+	3.44862i	−0.159583	+	0.159583i	0.622799	+	0.782382i	$0.285995\pi$
$468$	10.0671	+	5.74413i	0.465353	+	0.265523i
$469$		−	17.2186i		−	0.795079i
$470$	−29.8365	−	20.8792i	−1.37625	−	0.963088i
$471$		−	6.04756i		−	0.278657i
$472$	6.33708	−	14.1324i	0.291688	−	0.650494i
$473$	0.205920	+	0.205920i	0.00946822	+	0.00946822i
$474$	0.616985	−	1.44996i	0.0283391	−	0.0665990i
$475$	−12.3840	+	27.9903i	−0.568218	+	1.28428i
$476$	−3.72895	−	3.87513i	−0.170916	−	0.177616i
$477$	8.67714	+	8.67714i	0.397299	+	0.397299i
$478$	−20.0215	+	8.06863i	−0.915761	+	0.369050i
$479$			30.8029i			1.40742i	0.710488	+	0.703710i	$0.248474\pi$
$479$			30.8029i			1.40742i	−0.710488	+	0.703710i	$0.751526\pi$
$480$	−9.02229	+	11.8923i	−0.411809	+	0.542805i
$481$	−15.6236	+	28.6473i	−0.712376	+	1.30621i
$482$	−16.6161	+	6.69626i	−0.756843	+	0.305006i
$483$	9.56038	−	9.56038i	0.435012	−	0.435012i
$484$	15.8259	−	15.2289i	0.719357	−	0.692222i
$485$	−3.99830	−	6.14116i	−0.181553	−	0.278856i
$486$	−7.99019	+	18.7775i	−0.362442	+	0.851767i
$487$	−21.5008	−	21.5008i	−0.974296	−	0.974296i	0.0253815	−	0.999678i	$-0.491920\pi$
$487$	−21.5008	−	21.5008i	−0.974296	−	0.974296i	−0.999678	+	0.0253815i	$0.991920\pi$
$488$	30.4216	+	13.6413i	1.37712	+	0.617514i
$489$	−10.6945			−0.483622
$490$	2.23518	+	12.6555i	0.100975	+	0.571719i
$491$		−	31.4355i		−	1.41866i	−0.704875	−	0.709332i	$-0.748997\pi$
$491$		−	31.4355i		−	1.41866i	0.704875	−	0.709332i	$-0.251003\pi$
$492$	0.132690	−	6.90254i	0.00598212	−	0.311190i
$493$	4.87820	−	4.87820i	0.219703	−	0.219703i
$494$	−24.4815	+	19.3636i	−1.10147	+	0.871212i
$495$	−0.477764	−	0.100970i	−0.0214739	−	0.00453828i
$496$	−0.479772	+	12.4743i	−0.0215424	+	0.560111i
$497$	5.44075	+	5.44075i	0.244051	+	0.244051i
$498$	4.06946	+	10.0980i	0.182357	+	0.452500i
$499$			30.8204i			1.37971i	0.723948	+	0.689855i	$0.242326\pi$
$499$			30.8204i			1.37971i	−0.723948	+	0.689855i	$0.757674\pi$
$500$	−3.15024	−	22.1377i	−0.140883	−	0.990026i
$501$			9.92418i			0.443380i
$502$	21.1036	−	8.50473i	0.941901	−	0.379585i
$503$	−15.7158	−	15.7158i	−0.700733	−	0.700733i	0.263835	−	0.964568i	$-0.415013\pi$
$503$	−15.7158	−	15.7158i	−0.700733	−	0.700733i	−0.964568	+	0.263835i	$0.915013\pi$
$504$	−7.27983	+	2.77234i	−0.324270	+	0.123490i
$505$	1.21723	−	5.75961i	0.0541661	−	0.256299i
$506$	0.503030	−	1.18216i	0.0223624	−	0.0525534i
$507$	14.9942	+	3.24574i	0.665917	+	0.144148i
$508$	−0.824294	+	42.8799i	−0.0365722	+	1.90249i
$509$	38.9696			1.72730			0.863649	−	0.504093i	$-0.168173\pi$
$509$	38.9696			1.72730			0.863649	+	0.504093i	$0.168173\pi$
$510$	1.01856	+	5.76708i	0.0451027	+	0.255371i
$511$		−	14.6466i		−	0.647927i
$512$	6.82085	+	21.5749i	0.301442	+	0.953485i
$513$	−23.5351	−	23.5351i	−1.03910	−	1.03910i
$514$	−12.5524	+	29.4990i	−0.553661	+	1.30115i
$515$	−19.5177	+	12.7073i	−0.860054	+	0.559951i
$516$	−3.50777	−	3.64528i	−0.154421	−	0.160474i
$517$	1.10636	+	1.10636i	0.0486575	+	0.0486575i
$518$	−8.19738	−	20.3410i	−0.360172	−	0.893730i
$519$	14.4300			0.633407
$520$	7.68405	−	21.4699i	0.336968	−	0.941516i
$521$	6.74679			0.295582			0.147791	−	0.989019i	$-0.452784\pi$
$521$	6.74679			0.295582			0.147791	+	0.989019i	$0.452784\pi$
$522$	−3.73522	−	9.26857i	−0.163486	−	0.405674i
$523$	17.7325	+	17.7325i	0.775387	+	0.775387i	0.979043	−	0.203655i	$-0.0652822\pi$
$523$	17.7325	+	17.7325i	0.775387	+	0.775387i	−0.203655	+	0.979043i	$0.565282\pi$
$524$	−0.325970	−	0.338748i	−0.0142400	−	0.0147983i
$525$	−4.09080	+	9.24600i	−0.178537	+	0.403529i
$526$	−0.787892	+	1.85161i	−0.0343537	+	0.0807338i
$527$	3.46308	+	3.46308i	0.150854	+	0.150854i
$528$	0.470599	−	0.435740i	0.0204802	−	0.0189632i
$529$			21.7065i			0.943763i
$530$	13.8422	−	19.7805i	0.601266	−	0.859210i
$531$	−8.80153			−0.381954
$532$	0.403197	−	20.9743i	0.0174808	−	0.909352i
$533$	2.97645	+	10.1177i	0.128924	+	0.438247i
$534$	2.10935	−	4.95714i	0.0912806	−	0.214516i
$535$	20.5594	+	31.5780i	0.888858	+	1.36524i
$536$	10.1153	+	26.5616i	0.436915	+	1.14729i
$537$	10.6699	+	10.6699i	0.460440	+	0.460440i
$538$	25.2792	−	10.1875i	1.08986	−	0.439214i
$539$		−	0.552157i		−	0.0237831i
$540$	23.6893	+	5.48415i	1.01942	+	0.236000i
$541$		−	31.9567i		−	1.37393i	−0.726692	−	0.686963i	$-0.758943\pi$
$541$		−	31.9567i		−	1.37393i	0.726692	−	0.686963i	$-0.241057\pi$
$542$	−14.8336	−	36.8081i	−0.637158	−	1.58104i
$543$	−3.74224	−	3.74224i	−0.160595	−	0.160595i
$544$	8.02883	+	3.78719i	0.344233	+	0.162374i
$545$	−0.726007	+	3.43527i	−0.0310987	+	0.147151i
$546$	−8.08693	+	6.39637i	−0.346089	+	0.273740i
$547$	−6.16147	+	6.16147i	−0.263445	+	0.263445i	−0.826452	−	0.563007i	$-0.809644\pi$
$547$	−6.16147	+	6.16147i	−0.263445	+	0.263445i	0.563007	+	0.826452i	$0.309644\pi$
$548$	−0.667074	+	34.7012i	−0.0284960	+	1.48236i
$549$		−	18.9463i		−	0.808610i
$550$	−0.0321405	+	0.960183i	−0.00137047	+	0.0409423i
$551$	26.9111			1.14645
$552$	−9.13157	+	20.3644i	−0.388666	+	0.866765i
$553$	−1.14398	−	1.14398i	−0.0486471	−	0.0486471i
$554$	9.95092	−	23.3854i	0.422774	−	0.993551i
$555$	−4.93807	+	23.3656i	−0.209609	+	0.991814i
$556$	28.2648	−	27.1986i	1.19869	−	1.15348i
$557$	−22.6497	+	22.6497i	−0.959697	+	0.959697i	−0.999219	−	0.0395221i	$-0.987416\pi$
$557$	−22.6497	+	22.6497i	−0.959697	+	0.959697i	0.0395221	+	0.999219i	$0.487416\pi$
$558$	6.57985	−	2.65167i	0.278547	−	0.112254i
$559$	6.78469	+	3.70022i	0.286962	+	0.156503i
$560$	7.86224	+	13.1555i	0.332240	+	0.555922i
$561$		−	0.251616i		−	0.0106232i
$562$	22.8493	−	9.20825i	0.963841	−	0.388426i
$563$	−6.24205	−	6.24205i	−0.263071	−	0.263071i	0.563229	−	0.826301i	$-0.309559\pi$
$563$	−6.24205	−	6.24205i	−0.263071	−	0.263071i	−0.826301	+	0.563229i	$0.809559\pi$
$564$	−18.8464	−	19.5851i	−0.793575	−	0.824683i
$565$	−1.30290	−	2.00118i	−0.0548134	−	0.0841904i
$566$	8.57032	−	20.1409i	0.360237	−	0.846585i
$567$	−1.93194	−	1.93194i	−0.0811340	−	0.0811340i
$568$	−11.5892	−	5.19672i	−0.486273	−	0.218049i
$569$		−	10.8680i		−	0.455611i	−0.973707	−	0.227805i	$-0.926845\pi$
$569$		−	10.8680i		−	0.455611i	0.973707	−	0.227805i	$-0.0731550\pi$
$570$	−13.0978	+	18.7168i	−0.548608	+	0.783962i
$571$		−	19.4497i		−	0.813943i	−0.913441	−	0.406971i	$-0.866585\pi$
$571$		−	19.4497i		−	0.813943i	0.913441	−	0.406971i	$-0.133415\pi$
$572$	−0.485548	+	0.850968i	−0.0203018	+	0.0355808i
$573$	−19.4131	+	19.4131i	−0.810995	+	0.810995i
$574$	−6.52218	−	2.77530i	−0.272230	−	0.115839i
$575$	−12.0534	−	31.1830i	−0.502664	−	1.30042i
$576$	9.60131	−	8.55330i	0.400055	−	0.356387i
$577$	−12.4491	+	12.4491i	−0.518263	+	0.518263i	−0.917046	−	0.398782i	$-0.869433\pi$
$577$	−12.4491	+	12.4491i	−0.518263	+	0.518263i	0.398782	+	0.917046i	$0.369433\pi$
$578$	−19.0687	+	7.68465i	−0.793153	+	0.319639i
$579$		−	1.49703i		−	0.0622146i
$580$	−16.6791	+	10.4083i	−0.692560	+	0.432179i
$581$	11.1777			0.463730
$582$	−2.04440	−	5.07298i	−0.0847433	−	0.210282i
$583$	−0.733474	+	0.733474i	−0.0303774	+	0.0303774i
$584$	8.60436	+	22.5940i	0.356051	+	0.934947i
$585$	−12.9195	+	1.00763i	−0.534154	+	0.0416605i
$586$	1.22429	−	2.87717i	0.0505749	−	0.118855i
$587$	0.126933	+	0.126933i	0.00523910	+	0.00523910i	0.709721	−	0.704482i	$-0.248821\pi$
$587$	0.126933	+	0.126933i	0.00523910	+	0.00523910i	−0.704482	+	0.709721i	$0.748821\pi$
$588$	−0.184355	+	9.59014i	−0.00760265	+	0.395491i
$589$			19.1044i			0.787184i
$590$	3.01173	+	17.0523i	0.123991	+	0.702033i
$591$	−10.8266			−0.445346
$592$	24.5950	+	26.5625i	1.01085	+	1.09171i
$593$	−2.22865	−	2.22865i	−0.0915195	−	0.0915195i	0.659865	−	0.751384i	$-0.270614\pi$
$593$	−2.22865	−	2.22865i	−0.0915195	−	0.0915195i	−0.751384	+	0.659865i	$0.770614\pi$
$594$	−0.961311	−	0.409055i	−0.0394431	−	0.0167837i
$595$	5.88272	+	1.24325i	0.241168	+	0.0509683i
$596$	−3.45610	+	3.32573i	−0.141567	+	0.136227i
$597$	−5.51150	−	5.51150i	−0.225571	−	0.225571i
$598$	3.95273	−	33.8636i	0.161639	−	1.38479i
$599$	9.98842			0.408116			0.204058	−	0.978959i	$-0.434587\pi$
$599$	9.98842			0.408116			0.204058	+	0.978959i	$0.434587\pi$
$600$	0.878818	−	16.6662i	0.0358776	−	0.680395i
$601$	26.6091			1.08541			0.542705	−	0.839924i	$-0.317400\pi$
$601$	26.6091			1.08541			0.542705	+	0.839924i	$0.317400\pi$
$602$	−4.81745	+	1.94143i	−0.196345	+	0.0791266i
$603$	11.4210	−	11.4210i	0.465101	−	0.465101i
$604$	−8.11739	+	7.81119i	−0.330292	+	0.317833i
$605$	−5.07739	+	24.0248i	−0.206425	+	0.976747i
$606$	1.72035	−	4.04295i	0.0698845	−	0.164234i
$607$	−7.48637	+	7.48637i	−0.303863	+	0.303863i	−0.842523	−	0.538660i	$-0.818931\pi$
$607$	−7.48637	+	7.48637i	−0.303863	+	0.303863i	0.538660	+	0.842523i	$0.318931\pi$
$608$	11.6997	+	32.5921i	0.474486	+	1.32178i
$609$	8.88950			0.360221
$610$	−36.7072	+	6.48310i	−1.48623	+	0.262493i
$611$	36.4524	+	19.8803i	1.47471	+	0.804273i
$612$	0.0969582	−	5.04377i	0.00391930	−	0.203882i
$613$	−25.6786	−	25.6786i	−1.03715	−	1.03715i	−0.999283	−	0.0378679i	$-0.987943\pi$
$613$	−25.6786	−	25.6786i	−1.03715	−	1.03715i	−0.0378679	−	0.999283i	$-0.512057\pi$
$614$	−9.49313	+	22.3096i	−0.383112	+	0.900341i
$615$	4.21144	+	6.46854i	0.169822	+	0.260837i
$616$	−0.234344	−	0.615360i	−0.00944201	−	0.0247936i
$617$	−3.95103	+	3.95103i	−0.159062	+	0.159062i	−0.782151	−	0.623089i	$-0.785878\pi$
$617$	−3.95103	+	3.95103i	−0.159062	+	0.159062i	0.623089	+	0.782151i	$0.285878\pi$
$618$	−16.1229	+	6.49749i	−0.648557	+	0.261367i
$619$			8.51161i			0.342111i	0.985261	+	0.171055i	$0.0547177\pi$
$619$			8.51161i			0.342111i	−0.985261	+	0.171055i	$0.945282\pi$
$620$	−7.38893	−	11.8406i	−0.296747	−	0.475531i
$621$	36.3546			1.45886
$622$	24.7945	−	9.99215i	0.994169	−	0.400649i
$623$	−3.91105	−	3.91105i	−0.156693	−	0.156693i
$624$	8.71736	−	14.6179i	0.348974	−	0.585185i
$625$	16.8146	+	18.5005i	0.672586	+	0.740019i
$626$	−10.8130	−	4.60115i	−0.432176	−	0.183899i
$627$	0.694033	−	0.694033i	0.0277170	−	0.0277170i
$628$	10.2472	+	0.196986i	0.408908	+	0.00786058i
$629$	14.2022			0.566281
$630$	4.99346	−	7.13566i	0.198944	−	0.284292i
$631$	−7.04210			−0.280341			−0.140171	−	0.990127i	$-0.544765\pi$
$631$	−7.04210			−0.280341			−0.140171	+	0.990127i	$0.544765\pi$
$632$	2.43677	+	1.09267i	0.0969296	+	0.0434641i
$633$	5.63876	−	5.63876i	0.224121	−	0.224121i
$634$	18.8885	+	8.03740i	0.750158	+	0.319206i
$635$	−26.1623	−	40.1838i	−1.03822	−	1.59465i
$636$	12.9842	−	12.4944i	0.514858	−	0.495437i
$637$	−4.13537	−	14.0572i	−0.163849	−	0.556967i
$638$	0.783467	−	0.315736i	0.0310178	−	0.0125001i
$639$			7.21768i			0.285527i
$640$	−19.8568	−	15.6751i	−0.784909	−	0.619611i
$641$	−36.7633			−1.45206			−0.726032	−	0.687661i	$-0.758638\pi$
$641$	−36.7633			−1.45206			−0.726032	+	0.687661i	$0.758638\pi$
$642$	10.5124	+	26.0854i	0.414891	+	1.02951i
$643$	20.9784	−	20.9784i	0.827306	−	0.827306i	−0.159838	−	0.987143i	$-0.551097\pi$
$643$	20.9784	−	20.9784i	0.827306	−	0.827306i	0.987143	+	0.159838i	$0.0510971\pi$
$644$	15.8880	+	16.5109i	0.626077	+	0.650619i
$645$	5.53379	+	1.16951i	0.217893	+	0.0460494i
$646$	12.5008	+	5.31932i	0.491837	+	0.209286i
$647$	−8.79846	+	8.79846i	−0.345903	+	0.345903i	−0.858581	−	0.512678i	$-0.828654\pi$
$647$	−8.79846	+	8.79846i	−0.345903	+	0.345903i	0.512678	+	0.858581i	$0.328654\pi$
$648$	4.11519	+	1.84529i	0.161660	+	0.0724899i
$649$		−	0.743988i		−	0.0292041i
$650$	6.37302	+	24.6857i	0.249971	+	0.968253i
$651$			6.31075i			0.247338i
$652$	0.348349	−	18.1211i	0.0136424	−	0.709679i
$653$	−26.6946	+	26.6946i	−1.04464	+	1.04464i	−0.0456859	+	0.998956i	$0.514547\pi$
$653$	−26.6946	+	26.6946i	−1.04464	+	1.04464i	−0.998956	+	0.0456859i	$0.985453\pi$
$654$	−1.02609	+	2.41138i	−0.0401232	+	0.0942925i
$655$	0.514243	+	0.108680i	0.0200932	+	0.00424648i
$656$	11.6916	+	0.449669i	0.456480	+	0.0175566i
$657$	9.71506	−	9.71506i	0.379021	−	0.379021i
$658$	−25.8829	+	10.4308i	−1.00902	+	0.406634i
$659$	30.2389			1.17794			0.588970	−	0.808155i	$-0.299534\pi$
$659$	30.2389			1.17794			0.588970	+	0.808155i	$0.299534\pi$
$660$	−0.161723	+	0.698578i	−0.00629507	+	0.0271921i
$661$		−	44.3556i		−	1.72523i	−0.505857	−	0.862617i	$-0.668824\pi$
$661$		−	44.3556i		−	1.72523i	0.505857	−	0.862617i	$-0.331176\pi$
$662$	8.62653	+	21.4059i	0.335279	+	0.831962i
$663$	−1.88447	−	6.40581i	−0.0731869	−	0.248781i
$664$	−17.2429	+	6.56653i	−0.669154	+	0.254831i
$665$	12.7971	+	19.6556i	0.496248	+	0.762210i
$666$	8.05482	−	18.9294i	0.312118	−	0.733501i
$667$	−20.7847	+	20.7847i	−0.804786	+	0.804786i
$668$	−16.8159	−	0.323258i	−0.650626	−	0.0125072i
$669$	7.42935			0.287235
$670$	−26.0355	−	18.2194i	−1.00584	−	0.703876i
$671$	1.60152			0.0618261
$672$	3.86475	+	10.7661i	0.149086	+	0.415312i
$673$	8.50808	−	8.50808i	0.327962	−	0.327962i	−0.523849	−	0.851811i	$-0.675504\pi$
$673$	8.50808	−	8.50808i	0.327962	−	0.327962i	0.851811	+	0.523849i	$0.175504\pi$
$674$	11.3755	−	26.7334i	0.438169	−	1.02973i
$675$	−25.3575	+	9.80165i	−0.976009	+	0.377266i
$676$	−5.98810	+	25.3010i	−0.230312	+	0.973117i
$677$	−9.05251	−	9.05251i	−0.347916	−	0.347916i	0.511417	−	0.859333i	$-0.329121\pi$
$677$	−9.05251	−	9.05251i	−0.347916	−	0.347916i	−0.859333	+	0.511417i	$0.829121\pi$
$678$	−0.666198	−	1.65310i	−0.0255852	−	0.0634870i
$679$	−5.61543			−0.215501
$680$	−9.80513	+	1.53804i	−0.376009	+	0.0589812i
$681$			14.7167i			0.563946i
$682$	0.224144	+	0.556191i	0.00858292	+	0.0212977i
$683$	19.2696	−	19.2696i	0.737331	−	0.737331i	−0.234730	−	0.972061i	$-0.575420\pi$
$683$	19.2696	−	19.2696i	0.737331	−	0.737331i	0.972061	+	0.234730i	$0.0754205\pi$
$684$	14.1797	−	13.6448i	0.542174	−	0.521722i
$685$	−21.1723	−	32.5194i	−0.808950	−	1.24250i
$686$	24.6700	+	10.4975i	0.941905	+	0.400798i
$687$	−24.4593	−	24.4593i	−0.933180	−	0.933180i
$688$	6.29095	−	5.82496i	0.239840	−	0.222074i
$689$	−13.1799	+	24.1666i	−0.502116	+	0.920675i
$690$	−4.33982	−	24.5720i	−0.165214	−	0.935439i
$691$	−19.1766			−0.729511			−0.364756	−	0.931103i	$-0.618847\pi$
$691$	−19.1766			−0.729511			−0.364756	+	0.931103i	$0.618847\pi$
$692$	−0.470025	+	24.4507i	−0.0178677	+	0.929477i
$693$	−0.264595	+	0.264595i	−0.0100511	+	0.0100511i
$694$	12.9517	+	5.51117i	0.491638	+	0.209201i
$695$	−9.06815	+	42.9080i	−0.343975	+	1.62759i
$696$	−13.7131	+	5.22227i	−0.519792	+	0.197950i
$697$	3.24579	−	3.24579i	0.122943	−	0.122943i
$698$	−10.2141	−	25.3453i	−0.386609	−	0.959332i
$699$	29.7302			1.12450
$700$	−15.5335	−	7.23277i	−0.587111	−	0.273373i
$701$	1.64833			0.0622567			0.0311284	−	0.999515i	$-0.490090\pi$
$701$	1.64833			0.0622567			0.0311284	+	0.999515i	$0.490090\pi$
$702$	−27.5373	−	3.21429i	−1.03933	−	0.121315i
$703$	39.1741	+	39.1741i	1.47748	+	1.47748i
$704$	0.723005	+	0.811593i	0.0272493	+	0.0305881i
$705$	29.7316	+	6.28347i	1.11976	+	0.236649i
$706$	−1.40168	+	3.29405i	−0.0527528	+	0.123973i
$707$	−3.18978	−	3.18978i	−0.119964	−	0.119964i
$708$	−0.248403	+	12.9220i	−0.00933556	+	0.485637i
$709$	−19.9349			−0.748672			−0.374336	−	0.927293i	$-0.622129\pi$
$709$	−19.9349			−0.748672			−0.374336	+	0.927293i	$0.622129\pi$
$710$	13.9837	−	2.46976i	0.524801	−	0.0926885i
$711$		−	1.51760i		−	0.0569146i
$712$	8.33085	+	3.73563i	0.312212	+	0.139999i
$713$	−14.7553	−	14.7553i	−0.552588	−	0.552588i
$714$	4.12937	+	1.75712i	0.154538	+	0.0657587i
$715$	−0.0851746	−	1.09207i	−0.00318535	−	0.0408412i
$716$	−18.4270	+	17.7319i	−0.688650	+	0.662673i
$717$	12.7371	−	12.7371i	0.475675	−	0.475675i
$718$	−9.94203	+	4.00662i	−0.371033	+	0.149526i
$719$	30.5169			1.13809			0.569044	−	0.822307i	$-0.307313\pi$
$719$	30.5169			1.13809			0.569044	+	0.822307i	$0.307313\pi$
$720$	−3.51102	+	13.9410i	−0.130848	+	0.519552i
$721$			17.8469i			0.664652i
$722$	9.76499	+	24.2308i	0.363415	+	0.901778i
$723$	10.5707	−	10.5707i	0.393128	−	0.393128i
$724$	6.46288	−	6.21909i	0.240191	−	0.231131i
$725$	8.89357	−	20.1012i	0.330299	−	0.746540i
$726$	−7.17603	+	16.8642i	−0.266327	+	0.625889i
$727$	16.6943	−	16.6943i	0.619157	−	0.619157i	−0.326159	−	0.945315i	$-0.605754\pi$
$727$	16.6943	−	16.6943i	0.619157	−	0.619157i	0.945315	+	0.326159i	$0.105754\pi$
$728$	−10.5748	−	13.9111i	−0.391929	−	0.515581i
$729$		−	21.8124i		−	0.807867i
$730$	−22.1466	−	15.4979i	−0.819681	−	0.573603i
$731$		−	3.36359i		−	0.124407i
$732$	−27.8160	−	0.534717i	−1.02811	−	0.0197637i
$733$	24.1094	+	24.1094i	0.890499	+	0.890499i	0.994570	−	0.104071i	$-0.0331868\pi$
$733$	24.1094	+	24.1094i	0.890499	+	0.890499i	−0.104071	+	0.994570i	$0.533187\pi$
$734$	46.0606	+	19.5996i	1.70013	+	0.723435i
$735$	−5.85123	−	8.98716i	−0.215826	−	0.331497i
$736$	−34.2087	−	16.1362i	−1.26095	−	0.594788i
$737$	0.965415	+	0.965415i	0.0355615	+	0.0355615i
$738$	−2.48529	−	6.16701i	−0.0914849	−	0.227011i
$739$		−	38.8417i		−	1.42881i	−0.699731	−	0.714407i	$-0.746697\pi$
$739$		−	38.8417i		−	1.42881i	0.699731	−	0.714407i	$-0.253303\pi$
$740$	−39.4306	−	9.12832i	−1.44950	−	0.335564i
$741$	12.4712	−	22.8671i	0.458141	−	0.840044i
$742$	−6.91523	−	17.1595i	−0.253866	−	0.629943i
$743$	1.46488	−	1.46488i	0.0537411	−	0.0537411i	−0.679726	−	0.733467i	$-0.737901\pi$
$743$	1.46488	−	1.46488i	0.0537411	−	0.0537411i	0.733467	+	0.679726i	$0.237901\pi$
$744$	−3.70734	−	9.73504i	−0.135918	−	0.356904i
$745$	1.10881	−	5.24660i	0.0406238	−	0.192221i
$746$	23.8137	+	10.1332i	0.871881	+	0.371001i
$747$	7.41417	+	7.41417i	0.271270	+	0.271270i
$748$	0.426347	+	0.00819582i	0.0155888	+	0.000299669i
$749$	28.8747			1.05506
$750$	9.65195	+	15.9690i	0.352440	+	0.583104i
$751$			3.07742i			0.112297i	0.998422	+	0.0561484i	$0.0178820\pi$
$751$			3.07742i			0.112297i	−0.998422	+	0.0561484i	$0.982118\pi$
$752$	33.7996	−	31.2960i	1.23255	−	1.14125i
$753$	−13.4255	+	13.4255i	−0.489253	+	0.489253i
$754$	17.5813	−	13.9060i	0.640275	−	0.506426i
$755$	2.60429	−	12.3228i	0.0947798	−	0.448472i
$756$	13.4263	−	12.9199i	0.488312	−	0.469892i
$757$	−31.9991	−	31.9991i	−1.16303	−	1.16303i	−0.983809	−	0.179219i	$-0.942643\pi$
$757$	−31.9991	−	31.9991i	−1.16303	−	1.16303i	−0.179219	−	0.983809i	$-0.557357\pi$
$758$	−33.4012	+	13.4606i	−1.21319	+	0.488913i
$759$			1.07207i			0.0389136i
$760$	−31.2879	−	22.8031i	−1.13493	−	0.827156i
$761$			9.64916i			0.349782i	0.984588	+	0.174891i	$0.0559572\pi$
$761$			9.64916i			0.349782i	−0.984588	+	0.174891i	$0.944043\pi$
$762$	−13.3773	−	33.1943i	−0.484607	−	1.20250i
$763$	1.90252	+	1.90252i	0.0688758	+	0.0688758i
$764$	−32.2620	−	33.5267i	−1.16720	−	1.21295i
$765$	3.07735	+	4.72665i	0.111262	+	0.170892i
$766$	−43.6483	−	18.5731i	−1.57708	−	0.671075i
$767$	−5.57209	−	18.9410i	−0.201196	−	0.683918i
$768$	−12.2865	−	14.3375i	−0.443352	−	0.517362i
$769$	−13.2266			−0.476963			−0.238481	−	0.971147i	$-0.576650\pi$
$769$	−13.2266			−0.476963			−0.238481	+	0.971147i	$0.576650\pi$
$770$	0.603174	+	0.422094i	0.0217369	+	0.0152112i
$771$		−	26.7519i		−	0.963445i
$772$	2.53663	+	0.0487625i	0.0912952	+	0.00175500i
$773$	−0.434455	−	0.434455i	−0.0156263	−	0.0156263i	0.699250	−	0.714877i	$-0.253517\pi$
$773$	−0.434455	−	0.434455i	−0.0156263	−	0.0156263i	−0.714877	+	0.699250i	$0.753517\pi$
$774$	−4.48316	−	1.90767i	−0.161144	−	0.0685696i
$775$	14.2700	+	6.31364i	0.512595	+	0.226793i
$776$	8.66244	−	3.29887i	0.310963	−	0.118423i
$777$	12.9403	+	12.9403i	0.464232	+	0.464232i
$778$	35.4566	−	14.2889i	1.27118	−	0.512284i
$779$	17.9057			0.641540
$780$	1.11473	+	18.9961i	0.0399138	+	0.680170i
$781$	−0.610107			−0.0218313
$782$	−13.7633	+	5.54659i	−0.492175	+	0.198346i
$783$	16.9017	+	16.9017i	0.604019	+	0.604019i
$784$	−16.2439	−	0.624754i	−0.580138	−	0.0223126i
$785$	−9.60292	+	6.25212i	−0.342743	+	0.223148i
$786$	0.360973	+	0.153601i	0.0128755	+	0.00547875i
$787$	5.24534	+	5.24534i	0.186976	+	0.186976i	0.794388	−	0.607411i	$-0.207792\pi$
$787$	5.24534	+	5.24534i	0.186976	+	0.186976i	−0.607411	+	0.794388i	$0.707792\pi$
$788$	0.352651	−	18.3450i	0.0125627	−	0.653512i
$789$		−	1.67917i		−	0.0597801i
$790$	−2.94025	+	0.519297i	−0.104609	+	0.0184758i
$791$	−1.82987			−0.0650626
$792$	0.252727	−	0.563608i	0.00898027	−	0.0200269i
$793$	40.7727	−	11.9946i	1.44788	−	0.425940i
$794$	17.4666	+	7.43235i	0.619866	+	0.263764i
$795$	−4.16571	+	19.7110i	−0.147743	+	0.699077i
$796$	9.51842	−	9.15937i	0.337371	−	0.324645i
$797$	−31.7432	−	31.7432i	−1.12440	−	1.12440i	−0.991071	−	0.133332i	$-0.957432\pi$
$797$	−31.7432	−	31.7432i	−1.12440	−	1.12440i	−0.133332	−	0.991071i	$-0.542568\pi$
$798$	6.54338	+	16.2367i	0.231633	+	0.574774i
$799$		−	18.0717i		−	0.639331i
$800$	28.2112	+	2.03196i	0.997416	+	0.0718408i
$801$		−	5.18839i		−	0.183323i
$802$	−21.7965	+	8.78397i	−0.769662	+	0.310173i
$803$	0.821208	+	0.821208i	0.0289798	+	0.0289798i
$804$	−16.4455	−	17.0901i	−0.579987	−	0.602722i
$805$	−25.0647	−	5.29716i	−0.883414	−	0.186700i
$806$	9.87200	+	12.4812i	0.347726	+	0.439630i
$807$	−16.0819	+	16.0819i	−0.566110	+	0.566110i
$808$	6.79449	+	3.04671i	0.239029	+	0.107183i
$809$		−	2.77546i		−	0.0975801i	−0.998809	−	0.0487900i	$-0.984463\pi$
$809$		−	2.77546i		−	0.0975801i	0.998809	−	0.0487900i	$-0.0155365\pi$
$810$	−4.96546	+	0.876983i	−0.174468	+	0.0308140i
$811$	34.9977			1.22894			0.614468	−	0.788942i	$-0.289371\pi$
$811$	34.9977			1.22894			0.614468	+	0.788942i	$0.289371\pi$
$812$	−0.289555	+	15.0627i	−0.0101614	+	0.528597i
$813$	23.4162	+	23.4162i	0.821243	+	0.821243i
$814$	1.60009	+	0.680870i	0.0560833	+	0.0238645i
$815$	11.0562	+	16.9818i	0.387283	+	0.594846i
$816$	−7.40227	−	0.284698i	−0.259131	−	0.00996643i
$817$	9.27779	−	9.27779i	0.324589	−	0.324589i
$818$	−5.20585	−	12.9178i	−0.182018	−	0.451660i
$819$	−4.75456	+	8.71792i	−0.166138	+	0.304629i
$820$	−11.0977	+	6.92532i	−0.387549	+	0.241843i
$821$		−	40.4443i		−	1.41152i	−0.708453	−	0.705758i	$-0.750607\pi$
$821$		−	40.4443i		−	1.41152i	0.708453	−	0.705758i	$-0.249393\pi$
$822$	−10.8258	−	26.8631i	−0.377592	−	0.936957i
$823$	−8.51119	−	8.51119i	−0.296681	−	0.296681i	0.543031	−	0.839713i	$-0.317277\pi$
$823$	−8.51119	−	8.51119i	−0.296681	−	0.296681i	−0.839713	+	0.543031i	$0.817277\pi$
$824$	−10.4844	−	27.5308i	−0.365242	−	0.959081i
$825$	−0.289043	−	0.747771i	−0.0100632	−	0.0260341i
$826$	12.2099	+	5.19553i	0.424837	+	0.180776i
$827$	−24.4440	−	24.4440i	−0.850002	−	0.850002i	0.140131	−	0.990133i	$-0.455248\pi$
$827$	−24.4440	−	24.4440i	−0.850002	−	0.850002i	−0.990133	+	0.140131i	$0.955248\pi$
$828$	−0.413113	+	21.4902i	−0.0143567	+	0.746835i
$829$			3.08143i			0.107023i	0.998567	+	0.0535113i	$0.0170413\pi$
$829$			3.08143i			0.107023i	−0.998567	+	0.0535113i	$0.982959\pi$
$830$	11.8274	−	16.9014i	0.410536	−	0.586657i
$831$			21.2076i			0.735683i
$832$	24.4852	+	15.2472i	0.848871	+	0.528600i
$833$	−4.50959	+	4.50959i	−0.156248	+	0.156248i
$834$	−12.8163	+	30.1193i	−0.443792	+	1.04294i
$835$	15.7586	−	10.2599i	0.545349	−	0.355058i
$836$	1.15339	+	1.19860i	0.0398907	+	0.0414545i
$837$	−11.9987	+	11.9987i	−0.414736	+	0.414736i
$838$	18.9459	+	47.0124i	0.654476	+	1.62402i
$839$		−	25.5414i		−	0.881789i	−0.897559	−	0.440894i	$-0.854661\pi$
$839$		−	25.5414i		−	0.881789i	0.897559	−	0.440894i	$-0.145339\pi$
$840$	−10.3353	−	7.53253i	−0.356601	−	0.259897i
$841$	9.67385			0.333581
$842$	−38.6914	+	15.5926i	−1.33339	+	0.537355i
$843$	−14.5361	+	14.5361i	−0.500649	+	0.500649i
$844$	9.37085	+	9.73819i	0.322558	+	0.335202i
$845$	−10.3475	−	27.1649i	−0.355965	−	0.934499i
$846$	−24.0869	−	10.2494i	−0.828123	−	0.352382i
$847$	13.3054	+	13.3054i	0.457179	+	0.457179i
$848$	20.7481	+	22.4079i	0.712493	+	0.769491i
$849$			18.2652i			0.626861i
$850$	8.10453	−	7.57953i	0.277983	−	0.259976i
$851$	−60.5119			−2.07432
$852$	10.5966	+	0.203703i	0.363035	+	0.00697874i
$853$	−7.28569	−	7.28569i	−0.249457	−	0.249457i	0.571291	−	0.820748i	$-0.306443\pi$
$853$	−7.28569	−	7.28569i	−0.249457	−	0.249457i	−0.820748	+	0.571291i	$0.806443\pi$
$854$	−11.1840	+	26.2832i	−0.382709	+	0.899394i
$855$	−4.54925	+	21.5258i	−0.155581	+	0.736166i
$856$	−44.5425	+	16.9629i	−1.52243	+	0.579780i
$857$	18.1854	+	18.1854i	0.621200	+	0.621200i	0.945838	−	0.324638i	$-0.105243\pi$
$857$	18.1854	+	18.1854i	0.621200	+	0.621200i	−0.324638	+	0.945838i	$0.605243\pi$
$858$	0.0947868	−	0.812054i	0.00323597	−	0.0277231i
$859$	−47.8646			−1.63312			−0.816559	−	0.577261i	$-0.804121\pi$
$859$	−47.8646			−1.63312			−0.816559	+	0.577261i	$0.804121\pi$
$860$	−2.16191	+	9.33856i	−0.0737205	+	0.318442i
$861$	5.91479			0.201575
$862$	10.4613	+	25.9587i	0.356314	+	0.884156i
$863$	7.98468	−	7.98468i	0.271802	−	0.271802i	−0.558023	−	0.829825i	$-0.688440\pi$
$863$	7.98468	−	7.98468i	0.271802	−	0.271802i	0.829825	+	0.558023i	$0.188440\pi$
$864$	−13.1217	+	27.8179i	−0.446408	+	0.946384i
$865$	−14.9181	−	22.9134i	−0.507231	−	0.779079i
$866$	4.20358	+	1.78870i	0.142843	+	0.0607825i
$867$	12.1309	−	12.1309i	0.411989	−	0.411989i
$868$	−10.6932	−	0.205558i	−0.362949	−	0.00697710i
$869$	0.128282			0.00435168
$870$	9.40620	−	13.4415i	0.318900	−	0.455709i
$871$	31.8087	+	17.3477i	1.07780	+	0.587806i
$872$	−4.05251	−	1.81719i	−0.137235	−	0.0615377i
$873$	−3.72471	−	3.72471i	−0.126062	−	0.126062i
$874$	−53.2625	−	22.6642i	−1.80163	−	0.766627i
$875$	18.9109	−	3.06297i	0.639305	−	0.103547i
$876$	−13.9890	−	14.5373i	−0.472643	−	0.491171i
$877$	5.81287	−	5.81287i	0.196287	−	0.196287i	−0.602119	−	0.798406i	$-0.705677\pi$
$877$	5.81287	−	5.81287i	0.196287	−	0.196287i	0.798406	+	0.602119i	$0.205677\pi$
$878$	3.59729	+	8.92631i	0.121403	+	0.301248i
$879$			2.60923i			0.0880071i
$880$	−1.17843	−	0.296784i	−0.0397248	−	0.0100046i
$881$	−23.0235			−0.775681			−0.387840	−	0.921727i	$-0.626779\pi$
$881$	−23.0235			−0.775681			−0.387840	+	0.921727i	$0.626779\pi$
$882$	3.45298	+	8.56822i	0.116268	+	0.288507i
$883$	−7.69986	−	7.69986i	−0.259121	−	0.259121i	0.565576	−	0.824696i	$-0.308654\pi$
$883$	−7.69986	−	7.69986i	−0.259121	−	0.259121i	−0.824696	+	0.565576i	$0.808654\pi$
$884$	10.9156	−	2.98447i	0.367132	−	0.100378i
$885$	−7.88406	−	12.1095i	−0.265020	−	0.407056i
$886$	−11.9378	+	28.0547i	−0.401057	+	0.942514i
$887$	18.5646	−	18.5646i	0.623340	−	0.623340i	−0.323044	−	0.946384i	$-0.604706\pi$
$887$	18.5646	−	18.5646i	0.623340	−	0.623340i	0.946384	+	0.323044i	$0.104706\pi$
$888$	−27.5639	−	12.3599i	−0.924984	−	0.414772i
$889$	−36.7438			−1.23235
$890$	−10.0521	+	1.77538i	−0.336948	+	0.0595107i
$891$	0.216642			0.00725776
$892$	−0.241994	+	12.5886i	−0.00810256	+	0.421496i
$893$	49.8472	−	49.8472i	1.66807	−	1.66807i
$894$	1.56712	−	3.68285i	0.0524124	−	0.123173i
$895$	5.91191	−	27.9735i	0.197613	−	0.935052i
$896$	−18.3684	+	6.19790i	−0.613645	+	0.207057i
$897$	8.02924	+	27.2934i	0.268088	+	0.911302i
$898$	4.55715	+	11.3081i	0.152074	+	0.377357i
$899$		−	13.7198i		−	0.457582i
$900$	−5.50587	−	15.1008i	−0.183529	−	0.503361i
$901$	11.9809			0.399141
$902$	0.521294	−	0.210081i	0.0173572	−	0.00699492i
$903$	3.06472	−	3.06472i	0.101988	−	0.101988i
$904$	2.82278	−	1.07498i	0.0938841	−	0.0357534i
$905$	−2.07348	+	9.81113i	−0.0689247	+	0.326133i
$906$	3.68072	−	8.64997i	0.122284	−	0.287376i
$907$	−24.7376	+	24.7376i	−0.821398	+	0.821398i	−0.986308	−	0.164911i	$-0.947266\pi$
$907$	−24.7376	+	24.7376i	−0.821398	+	0.821398i	0.164911	+	0.986308i	$0.447266\pi$
$908$	−24.9365	−	0.479364i	−0.827548	−	0.0159082i
$909$		−	4.23156i		−	0.140352i
$910$	18.5173	+	6.22850i	0.613842	+	0.206473i
$911$		−	54.7745i		−	1.81476i	−0.420313	−	0.907379i	$-0.638080\pi$
$911$		−	54.7745i		−	1.81476i	0.420313	−	0.907379i	$-0.361920\pi$
$912$	−19.6324	−	21.2030i	−0.650094	−	0.702101i
$913$	−0.626716	+	0.626716i	−0.0207413	+	0.0207413i
$914$	29.1676	+	12.4113i	0.964778	+	0.410531i
$915$	26.0671	−	16.9714i	0.861752	−	0.561057i
$916$	42.2414	−	40.6480i	1.39569	−	1.34305i
$917$	0.284798	−	0.284798i	0.00940487	−	0.00940487i
$918$	4.51039	+	11.1921i	0.148865	+	0.369394i
$919$	33.2299			1.09615			0.548076	−	0.836428i	$-0.315360\pi$
$919$	33.2299			1.09615			0.548076	+	0.836428i	$0.315360\pi$
$920$	41.7770	−	6.55317i	1.37735	−	0.216052i
$921$		−	20.2320i		−	0.666665i
$922$	40.9496	−	16.5026i	1.34860	−	0.543486i
$923$	−15.5325	+	4.56938i	−0.511259	+	0.150403i
$924$	0.380997	+	0.395932i	0.0125339	+	0.0130252i
$925$	42.2073	−	16.3148i	1.38777	−	0.536427i
$926$	31.8136	+	13.5373i	1.04546	+	0.444862i
$927$	−11.8378	+	11.8378i	−0.388804	+	0.388804i
$928$	−8.40214	−	23.4060i	−0.275814	−	0.768340i
$929$	−33.1243			−1.08677			−0.543386	−	0.839483i	$-0.682858\pi$
$929$	−33.1243			−1.08677			−0.543386	+	0.839483i	$0.682858\pi$
$930$	9.54224	+	6.67756i	0.312903	+	0.218966i
$931$	−24.8776			−0.815331
$932$	−0.968394	+	50.3759i	−0.0317208	+	1.65012i
$933$	−15.7735	+	15.7735i	−0.516403	+	0.516403i
$934$	6.34655	+	2.70057i	0.207666	+	0.0883655i
$935$	−0.399541	+	0.260127i	−0.0130664	+	0.00850706i
$936$	2.21297	−	16.2415i	0.0723332	−	0.530871i
$937$	23.6889	+	23.6889i	0.773882	+	0.773882i	0.978783	−	0.204901i	$-0.0656872\pi$
$937$	23.6889	+	23.6889i	0.773882	+	0.773882i	−0.204901	+	0.978783i	$0.565687\pi$
$938$	−22.5857	+	9.10198i	−0.737448	+	0.297190i
$939$	9.80606			0.320009
$940$	−11.6154	+	50.1737i	−0.378852	+	1.63649i
$941$			12.1245i			0.395247i	0.980278	+	0.197624i	$0.0633224\pi$
$941$			12.1245i			0.395247i	−0.980278	+	0.197624i	$0.936678\pi$
$942$	−7.93261	+	3.19683i	−0.258458	+	0.104158i
$943$	−13.8295	+	13.8295i	−0.450349	+	0.450349i
$944$	−21.8873	−	0.841807i	−0.712372	−	0.0273985i
$945$	−4.30756	+	20.3822i	−0.140125	+	0.663032i
$946$	0.161254	−	0.378959i	0.00524282	−	0.0123210i
$947$	−4.68453	−	4.68453i	−0.152227	−	0.152227i	0.626885	−	0.779112i	$-0.284330\pi$
$947$	−4.68453	−	4.68453i	−0.152227	−	0.152227i	−0.779112	+	0.626885i	$0.784330\pi$
$948$	−2.22807	−	0.0428309i	−0.0723643	−	0.00139108i
$949$	27.0573	+	14.7565i	0.878318	+	0.479015i
$950$	43.2613	+	1.44810i	1.40358	+	0.0469825i
$951$	−17.1295			−0.555461
$952$	−3.11184	+	6.93973i	−0.100855	+	0.224918i
$953$	−15.6053	+	15.6053i	−0.505504	+	0.505504i	−0.913143	−	0.407639i	$-0.866352\pi$
$953$	−15.6053	+	15.6053i	−0.505504	+	0.505504i	0.407639	+	0.913143i	$0.366352\pi$
$954$	6.79498	−	15.9687i	0.219995	−	0.517006i
$955$	50.8959	+	10.7563i	1.64695	+	0.348066i
$956$	21.1673	+	21.9971i	0.684599	+	0.711436i
$957$	−0.498419	+	0.498419i	−0.0161116	+	0.0161116i
$958$	40.4042	−	16.2828i	1.30540	−	0.526075i
$959$	−29.7355			−0.960210
$960$	20.3684	+	5.54815i	0.657389	+	0.179066i
$961$	−21.2602			−0.685811
$962$	45.8357	+	5.35016i	1.47780	+	0.172496i
$963$	19.1526	+	19.1526i	0.617183	+	0.617183i
$964$	17.5670	+	18.2557i	0.565796	+	0.587975i
$965$	−2.37714	+	1.54767i	−0.0765228	+	0.0498213i
$966$	−17.5941	−	7.48663i	−0.566082	−	0.240878i
$967$	−7.06843	−	7.06843i	−0.227305	−	0.227305i	0.584261	−	0.811566i	$-0.301385\pi$
$967$	−7.06843	−	7.06843i	−0.227305	−	0.227305i	−0.811566	+	0.584261i	$0.801385\pi$
$968$	−28.3416	−	12.7086i	−0.910933	−	0.408471i
$969$	−11.3366			−0.364185
$970$	−5.94183	+	8.49089i	−0.190781	+	0.272626i
$971$		−	16.4004i		−	0.526315i	−0.964753	−	0.263158i	$-0.915236\pi$
$971$		−	16.4004i		−	0.526315i	0.964753	−	0.263158i	$-0.0847639\pi$
$972$	28.8543	+	0.554676i	0.925502	+	0.0177913i
$973$	23.7633	+	23.7633i	0.761817	+	0.761817i
$974$	−16.8371	+	39.5684i	−0.539495	+	1.26785i
$975$	−12.9591	−	16.8725i	−0.415023	−	0.540352i
$976$	1.81209	−	47.1151i	0.0580035	−	1.50812i
$977$	−9.44147	+	9.44147i	−0.302059	+	0.302059i	−0.841819	−	0.539760i	$-0.818515\pi$
$977$	−9.44147	+	9.44147i	−0.302059	+	0.302059i	0.539760	+	0.841819i	$0.318515\pi$
$978$	5.65327	+	14.0280i	0.180772	+	0.448566i
$979$	0.438572			0.0140168
$980$	15.4188	−	9.62179i	0.492534	−	0.307357i
$981$			2.52388i			0.0805811i
$982$	−41.2340	+	16.6173i	−1.31583	+	0.530278i
$983$	−2.87573	+	2.87573i	−0.0917216	+	0.0917216i	−0.751479	−	0.659757i	$-0.770659\pi$
$983$	−2.87573	+	2.87573i	−0.0917216	+	0.0917216i	0.659757	+	0.751479i	$0.270659\pi$
$984$	−9.12422	+	3.47473i	−0.290870	+	0.110770i
$985$	11.1928	+	17.1915i	0.356632	+	0.547768i
$986$	−8.97743	−	3.82006i	−0.285900	−	0.121656i
$987$	16.4660	−	16.4660i	0.524118	−	0.524118i
$988$	38.3406	+	21.8765i	1.21978	+	0.695985i
$989$			14.3314i			0.455711i
$990$	0.120110	+	0.680059i	0.00381734	+	0.0216137i
$991$			12.4832i			0.396541i	0.980147	+	0.198271i	$0.0635325\pi$
$991$			12.4832i			0.396541i	−0.980147	+	0.198271i	$0.936468\pi$
$992$	16.6162	−	5.96476i	0.527564	−	0.189381i
$993$	−13.6178	−	13.6178i	−0.432147	−	0.432147i
$994$	4.26059	−	10.0127i	0.135138	−	0.317584i
$995$	−3.05378	+	14.4496i	−0.0968113	+	0.458085i
$996$	11.0944	−	10.6759i	0.351538	−	0.338278i
$997$	30.7425	+	30.7425i	0.973625	+	0.973625i	0.999661	−	0.0260359i	$-0.00828842\pi$
$997$	30.7425	+	30.7425i	0.973625	+	0.973625i	−0.0260359	+	0.999661i	$0.508288\pi$
$998$	40.4272	−	16.2921i	1.27970	−	0.515718i
$999$			49.2073i			1.55685i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.p.d.207.13	yes	64
4.3	odd	2	inner	260.2.p.d.207.29	yes	64
5.3	odd	4	inner	260.2.p.d.103.4	✓	64
13.12	even	2	inner	260.2.p.d.207.20	yes	64
20.3	even	4	inner	260.2.p.d.103.20	yes	64
52.51	odd	2	inner	260.2.p.d.207.4	yes	64
65.38	odd	4	inner	260.2.p.d.103.29	yes	64
260.103	even	4	inner	260.2.p.d.103.13	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.p.d.103.4	✓	64	5.3	odd	4	inner
260.2.p.d.103.13	yes	64	260.103	even	4	inner
260.2.p.d.103.20	yes	64	20.3	even	4	inner
260.2.p.d.103.29	yes	64	65.38	odd	4	inner
260.2.p.d.207.4	yes	64	52.51	odd	2	inner
260.2.p.d.207.13	yes	64	1.1	even	1	trivial
260.2.p.d.207.20	yes	64	13.12	even	2	inner
260.2.p.d.207.29	yes	64	4.3	odd	2	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.p (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.528615 - 1.31170i) q^{2} +(0.834468 + 0.834468i) q^{3} +(-1.44113 + 1.38677i) q^{4} +(0.462357 - 2.18774i) q^{5} +(0.653463 - 1.53569i) q^{6} +(-1.21162 - 1.21162i) q^{7} +(2.58084 + 1.15727i) q^{8} -1.60733i q^{9} +O(q^{10})\)	\(q+(-0.528615 - 1.31170i) q^{2} +(0.834468 + 0.834468i) q^{3} +(-1.44113 + 1.38677i) q^{4} +(0.462357 - 2.18774i) q^{5} +(0.653463 - 1.53569i) q^{6} +(-1.21162 - 1.21162i) q^{7} +(2.58084 + 1.15727i) q^{8} -1.60733i q^{9} +(-3.11408 + 0.549999i) q^{10} +0.135866 q^{11} +(-2.35980 - 0.0453632i) q^{12} +(3.45898 - 1.01757i) q^{13} +(-0.948804 + 2.22976i) q^{14} +(2.21142 - 1.43978i) q^{15} +(0.153730 - 3.99704i) q^{16} +(-1.10965 - 1.10965i) q^{17} +(-2.10834 + 0.849657i) q^{18} -6.12150i q^{19} +(2.36758 + 3.79401i) q^{20} -2.02211i q^{21} +(-0.0718210 - 0.178217i) q^{22} +(4.72792 + 4.72792i) q^{23} +(1.18792 + 3.11933i) q^{24} +(-4.57245 - 2.02304i) q^{25} +(-3.16322 - 3.99926i) q^{26} +(3.84467 - 3.84467i) q^{27} +(3.42634 + 0.0658656i) q^{28} +4.39615i q^{29} +(-3.05756 - 2.13964i) q^{30} -3.12087 q^{31} +(-5.32420 + 1.91125i) q^{32} +(0.113376 + 0.113376i) q^{33} +(-0.868956 + 2.04211i) q^{34} +(-3.21091 + 2.09051i) q^{35} +(2.22900 + 2.31637i) q^{36} +(-6.39942 + 6.39942i) q^{37} +(-8.02960 + 3.23592i) q^{38} +(3.73554 + 2.03728i) q^{39} +(3.72508 - 5.11114i) q^{40} +2.92506i q^{41} +(-2.65241 + 1.06892i) q^{42} +(1.51561 + 1.51561i) q^{43} +(-0.195802 + 0.188416i) q^{44} +(-3.51642 - 0.743158i) q^{45} +(3.70239 - 8.70089i) q^{46} +(8.14297 + 8.14297i) q^{47} +(3.46369 - 3.20712i) q^{48} -4.06397i q^{49} +(-0.236559 + 7.06711i) q^{50} -1.85194i q^{51} +(-3.57372 + 6.26327i) q^{52} +(-5.39849 + 5.39849i) q^{53} +(-7.07541 - 3.01072i) q^{54} +(0.0628188 - 0.297241i) q^{55} +(-1.72481 - 4.52915i) q^{56} +(5.10820 - 5.10820i) q^{57} +(5.76645 - 2.32387i) q^{58} -5.47588i q^{59} +(-1.19031 + 5.14166i) q^{60} +11.7875 q^{61} +(1.64974 + 4.09366i) q^{62} +(-1.94746 + 1.94746i) q^{63} +(5.32144 + 5.97346i) q^{64} +(-0.626900 - 8.03785i) q^{65} +(0.0887836 - 0.208648i) q^{66} +(7.10562 + 7.10562i) q^{67} +(3.13799 + 0.0603226i) q^{68} +7.89060i q^{69} +(4.43946 + 3.10668i) q^{70} -4.49049 q^{71} +(1.86011 - 4.14825i) q^{72} +(6.04423 + 6.04423i) q^{73} +(11.7770 + 5.01132i) q^{74} +(-2.12741 - 5.50372i) q^{75} +(8.48913 + 8.82190i) q^{76} +(-0.164618 - 0.164618i) q^{77} +(0.697647 - 5.97685i) q^{78} +0.944179 q^{79} +(-8.67344 - 2.18438i) q^{80} +1.59452 q^{81} +(3.83681 - 1.54623i) q^{82} +(-4.61273 + 4.61273i) q^{83} +(2.80420 + 2.91413i) q^{84} +(-2.94069 + 1.91458i) q^{85} +(1.18686 - 2.78920i) q^{86} +(-3.66845 + 3.66845i) q^{87} +(0.350649 + 0.157234i) q^{88} +3.22796 q^{89} +(0.884028 + 5.00535i) q^{90} +(-5.42386 - 2.95805i) q^{91} +(-13.3701 - 0.257018i) q^{92} +(-2.60427 - 2.60427i) q^{93} +(6.37667 - 14.9857i) q^{94} +(-13.3923 - 2.83032i) q^{95} +(-6.03775 - 2.84800i) q^{96} +(2.31733 - 2.31733i) q^{97} +(-5.33073 + 2.14827i) q^{98} -0.218382i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q+O(q^{10}) \) 64 * q	\( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Introduction

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