LMFDB - Embedded newform 804.2.bd.a.35.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(23,804)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 33, 28]))

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

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

chi := DirichletCharacter("804.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.bd (of order $66$, degree $20$, 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:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$2640$
Relative dimension:	$132$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			35.5
Character	$\chi$	$=$	804.35
Dual form			804.2.bd.a.23.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39933 - 0.204660i) q^{2} +(-1.70511 - 0.304307i) q^{3} +(1.91623 + 0.572774i) q^{4} +(-2.29127 - 1.04639i) q^{5} +(2.32372 + 0.774794i) q^{6} +(0.382733 - 0.401398i) q^{7} +(-2.56420 - 1.19367i) q^{8} +(2.81479 + 1.03775i) q^{9} +O(q^{10})$	\(q+(-1.39933 - 0.204660i) q^{2} +(-1.70511 - 0.304307i) q^{3} +(1.91623 + 0.572774i) q^{4} +(-2.29127 - 1.04639i) q^{5} +(2.32372 + 0.774794i) q^{6} +(0.382733 - 0.401398i) q^{7} +(-2.56420 - 1.19367i) q^{8} +(2.81479 + 1.03775i) q^{9} +(2.99208 + 1.93317i) q^{10} +(-3.69354 + 0.352690i) q^{11} +(-3.09308 - 1.55976i) q^{12} +(-1.78432 + 0.343899i) q^{13} +(-0.617718 + 0.483357i) q^{14} +(3.58844 + 2.48146i) q^{15} +(3.34386 + 2.19513i) q^{16} +(1.28775 + 2.49788i) q^{17} +(-3.72643 - 2.02823i) q^{18} +(-1.63406 - 1.71376i) q^{19} +(-3.79126 - 3.31750i) q^{20} +(-0.774749 + 0.567960i) q^{21} +(5.24065 + 0.262393i) q^{22} +(-3.38982 - 1.35708i) q^{23} +(4.00900 + 2.81565i) q^{24} +(0.880693 + 1.01637i) q^{25} +(2.56723 - 0.116048i) q^{26} +(-4.48373 - 2.62605i) q^{27} +(0.963313 - 0.549952i) q^{28} +(1.80736 - 1.04348i) q^{29} +(-4.51355 - 4.20678i) q^{30} +(-1.19828 + 6.21724i) q^{31} +(-4.22990 - 3.75606i) q^{32} +(6.40521 + 0.522596i) q^{33} +(-1.29076 - 3.75890i) q^{34} +(-1.29696 + 0.519226i) q^{35} +(4.79939 + 3.60081i) q^{36} +(2.53488 - 4.39054i) q^{37} +(1.93585 + 2.73253i) q^{38} +(3.14711 - 0.0434043i) q^{39} +(4.62624 + 5.41818i) q^{40} +(9.71647 + 0.462853i) q^{41} +(1.20037 - 0.636200i) q^{42} +(-1.51606 + 2.35904i) q^{43} +(-7.27967 - 1.43973i) q^{44} +(-5.36356 - 5.32315i) q^{45} +(4.46573 + 2.59276i) q^{46} +(-2.11981 + 1.66704i) q^{47} +(-5.03365 - 4.76050i) q^{48} +(0.318437 + 6.68481i) q^{49} +(-1.02437 - 1.60248i) q^{50} +(-1.43562 - 4.65102i) q^{51} +(-3.61614 - 0.363021i) q^{52} +(1.46092 + 2.27324i) q^{53} +(5.73676 + 4.59234i) q^{54} +(8.83195 + 3.05677i) q^{55} +(-1.46054 + 0.572410i) q^{56} +(2.26475 + 3.41940i) q^{57} +(-2.74265 + 1.09028i) q^{58} +(5.90144 - 6.81062i) q^{59} +(5.45496 + 6.81041i) q^{60} +(12.4227 + 1.18622i) q^{61} +(2.94920 - 8.45471i) q^{62} +(1.49387 - 0.732671i) q^{63} +(5.15029 + 6.12164i) q^{64} +(4.44821 + 1.07912i) q^{65} +(-8.85603 - 2.04218i) q^{66} +(7.02019 - 4.20915i) q^{67} +(1.03690 + 5.52409i) q^{68} +(5.36705 + 3.34552i) q^{69} +(1.92114 - 0.461129i) q^{70} +(10.5094 + 5.41795i) q^{71} +(-5.97897 - 6.02096i) q^{72} +(1.20612 + 0.115171i) q^{73} +(-4.44570 + 5.62501i) q^{74} +(-1.19239 - 2.00103i) q^{75} +(-2.14964 - 4.21990i) q^{76} +(-1.27207 + 1.61757i) q^{77} +(-4.41272 - 0.583352i) q^{78} +(-9.81221 - 3.39604i) q^{79} +(-5.36473 - 8.52862i) q^{80} +(6.84613 + 5.84213i) q^{81} +(-13.5018 - 2.63626i) q^{82} +(4.24506 + 5.96136i) q^{83} +(-1.80991 + 0.644584i) q^{84} +(-0.336824 - 7.07080i) q^{85} +(2.60427 - 2.99079i) q^{86} +(-3.39929 + 1.22926i) q^{87} +(9.89198 + 3.50451i) q^{88} +(10.4511 + 1.50264i) q^{89} +(6.41594 + 8.54653i) q^{90} +(-0.544876 + 0.847844i) q^{91} +(-5.71838 - 4.54208i) q^{92} +(3.93514 - 10.2364i) q^{93} +(3.30748 - 1.89889i) q^{94} +(1.95083 + 5.63655i) q^{95} +(6.06944 + 7.69168i) q^{96} +(2.46443 - 4.26851i) q^{97} +(0.922520 - 9.41941i) q^{98} +(-10.7626 - 2.84024i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{19}{33}\right)$	$-1$

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 $

$2$	−1.39933	−	0.204660i	−0.989473	−	0.144717i
$2$	−1.39933	−	0.204660i	−0.989473	−	0.144717i
$3$	−1.70511	−	0.304307i	−0.984445	−	0.175692i
$3$	−1.70511	−	0.304307i	−0.984445	−	0.175692i
$4$	1.91623	+	0.572774i	0.958114	+	0.286387i
$5$	−2.29127	−	1.04639i	−1.02469	−	0.467959i	−0.169090	−	0.985601i	$-0.554083\pi$
$5$	−2.29127	−	1.04639i	−1.02469	−	0.467959i	−0.855598	+	0.517641i	$0.826810\pi$
$6$	2.32372	+	0.774794i	0.948656	+	0.316308i
$7$	0.382733	−	0.401398i	0.144659	−	0.151714i	−0.647418	−	0.762135i	$-0.724151\pi$
$7$	0.382733	−	0.401398i	0.144659	−	0.151714i	0.792077	+	0.610421i	$0.209000\pi$
$8$	−2.56420	−	1.19367i	−0.906583	−	0.422027i
$9$	2.81479	+	1.03775i	0.938265	+	0.345918i
$10$	2.99208	+	1.93317i	0.946180	+	0.611323i
$11$	−3.69354	+	0.352690i	−1.11364	+	0.106340i	−0.635616	−	0.772005i	$-0.719254\pi$
$11$	−3.69354	+	0.352690i	−1.11364	+	0.106340i	−0.478027	+	0.878345i	$0.658648\pi$
$12$	−3.09308	−	1.55976i	−0.892895	−	0.450265i
$13$	−1.78432	+	0.343899i	−0.494881	+	0.0953805i	−0.430584	−	0.902550i	$-0.641693\pi$
$13$	−1.78432	+	0.343899i	−0.494881	+	0.0953805i	−0.0642966	+	0.997931i	$0.520480\pi$
$14$	−0.617718	+	0.483357i	−0.165092	+	0.129183i
$15$	3.58844	+	2.48146i	0.926532	+	0.640710i
$16$	3.34386	+	2.19513i	0.835965	+	0.548782i
$17$	1.28775	+	2.49788i	0.312324	+	0.605824i	0.991789	−	0.127884i	$-0.0408184\pi$
$17$	1.28775	+	2.49788i	0.312324	+	0.605824i	−0.679465	+	0.733708i	$0.737788\pi$
$18$	−3.72643	−	2.02823i	−0.878327	−	0.478059i
$19$	−1.63406	−	1.71376i	−0.374880	−	0.393163i	0.509085	−	0.860716i	$-0.329984\pi$
$19$	−1.63406	−	1.71376i	−0.374880	−	0.393163i	−0.883965	+	0.467554i	$0.845135\pi$
$20$	−3.79126	−	3.31750i	−0.847751	−	0.741815i
$21$	−0.774749	+	0.567960i	−0.169064	+	0.123939i
$22$	5.24065	+	0.262393i	1.11731	+	0.0559423i
$23$	−3.38982	−	1.35708i	−0.706827	−	0.282971i	−0.00973519	−	0.999953i	$-0.503099\pi$
$23$	−3.38982	−	1.35708i	−0.706827	−	0.282971i	−0.697092	+	0.716982i	$0.745523\pi$
$24$	4.00900	+	2.81565i	0.818335	+	0.574742i
$25$	0.880693	+	1.01637i	0.176139	+	0.203275i
$26$	2.56723	−	0.116048i	0.503475	−	0.0227588i
$27$	−4.48373	−	2.62605i	−0.862895	−	0.505383i
$28$	0.963313	−	0.549952i	0.182049	−	0.103931i
$29$	1.80736	−	1.04348i	0.335619	−	0.193770i	−0.322714	−	0.946496i	$-0.604595\pi$
$29$	1.80736	−	1.04348i	0.335619	−	0.193770i	0.658333	+	0.752727i	$0.271262\pi$
$30$	−4.51355	−	4.20678i	−0.824057	−	0.768050i
$31$	−1.19828	+	6.21724i	−0.215217	+	1.11665i	0.700140	+	0.714006i	$0.253121\pi$
$31$	−1.19828	+	6.21724i	−0.215217	+	1.11665i	−0.915357	+	0.402644i	$0.868091\pi$
$32$	−4.22990	−	3.75606i	−0.747747	−	0.663984i
$33$	6.40521	+	0.522596i	1.11500	+	0.0909723i
$34$	−1.29076	−	3.75890i	−0.221363	−	0.644645i
$35$	−1.29696	+	0.519226i	−0.219227	+	0.0877652i
$36$	4.79939	+	3.60081i	0.799898	+	0.600136i
$37$	2.53488	−	4.39054i	0.416732	−	0.721801i	−0.578877	−	0.815415i	$-0.696509\pi$
$37$	2.53488	−	4.39054i	0.416732	−	0.721801i	0.995609	+	0.0936142i	$0.0298420\pi$
$38$	1.93585	+	2.73253i	0.314036	+	0.443275i
$39$	3.14711	−	0.0434043i	0.503941	−	0.00695025i
$40$	4.62624	+	5.41818i	0.731473	+	0.856690i
$41$	9.71647	+	0.462853i	1.51746	+	0.0722855i	0.789677	−	0.613523i	$-0.210248\pi$
$41$	9.71647	+	0.462853i	1.51746	+	0.0722855i	0.727782	+	0.685809i	$0.240551\pi$
$42$	1.20037	−	0.636200i	0.185221	−	0.0981679i
$43$	−1.51606	+	2.35904i	−0.231197	+	0.359750i	−0.937397	−	0.348263i	$-0.886772\pi$
$43$	−1.51606	+	2.35904i	−0.231197	+	0.359750i	0.706200	+	0.708013i	$0.250408\pi$
$44$	−7.27967	−	1.43973i	−1.09745	−	0.217047i
$45$	−5.36356	−	5.32315i	−0.799553	−	0.793528i
$46$	4.46573	+	2.59276i	0.658436	+	0.382282i
$47$	−2.11981	+	1.66704i	−0.309206	+	0.243162i	−0.760688	−	0.649118i	$-0.775138\pi$
$47$	−2.11981	+	1.66704i	−0.309206	+	0.243162i	0.451482	+	0.892280i	$0.350896\pi$
$48$	−5.03365	−	4.76050i	−0.726545	−	0.687119i
$49$	0.318437	+	6.68481i	0.0454910	+	0.954974i
$50$	−1.02437	−	1.60248i	−0.144867	−	0.226625i
$51$	−1.43562	−	4.65102i	−0.201028	−	0.651274i
$52$	−3.61614	−	0.363021i	−0.501468	−	0.0503420i
$53$	1.46092	+	2.27324i	0.200673	+	0.312253i	0.926975	−	0.375122i	$-0.122399\pi$
$53$	1.46092	+	2.27324i	0.200673	+	0.312253i	−0.726303	+	0.687375i	$0.758763\pi$
$54$	5.73676	+	4.59234i	0.780674	+	0.624938i
$55$	8.83195	+	3.05677i	1.19090	+	0.412174i
$56$	−1.46054	+	0.572410i	−0.195173	+	0.0764915i
$57$	2.26475	+	3.41940i	0.299973	+	0.452911i
$58$	−2.74265	+	1.09028i	−0.360128	+	0.143160i
$59$	5.90144	−	6.81062i	0.768301	−	0.886667i	−0.227905	−	0.973683i	$-0.573188\pi$
$59$	5.90144	−	6.81062i	0.768301	−	0.886667i	0.996207	+	0.0870161i	$0.0277332\pi$
$60$	5.45496	+	6.81041i	0.704233	+	0.879220i
$61$	12.4227	+	1.18622i	1.59056	+	0.151880i	0.852454	−	0.522801i	$-0.175113\pi$
$61$	12.4227	+	1.18622i	1.59056	+	0.151880i	0.738109	+	0.674682i	$0.235719\pi$
$62$	2.94920	−	8.45471i	0.374549	−	1.07375i
$63$	1.49387	−	0.732671i	0.188210	−	0.0923079i
$64$	5.15029	+	6.12164i	0.643786	+	0.765206i
$65$	4.44821	+	1.07912i	0.551733	+	0.133849i
$66$	−8.85603	−	2.04218i	−1.09010	−	0.251374i
$67$	7.02019	−	4.20915i	0.857652	−	0.514230i
$67$	7.02019	−	4.20915i	0.857652	−	0.514230i
$68$	1.03690	+	5.52409i	0.125742	+	0.669894i
$69$	5.36705	+	3.34552i	0.646117	+	0.402753i
$70$	1.92114	−	0.461129i	0.229620	−	0.0551155i
$71$	10.5094	+	5.41795i	1.24723	+	0.642993i	0.950130	−	0.311853i	$-0.100950\pi$
$71$	10.5094	+	5.41795i	1.24723	+	0.642993i	0.297101	+	0.954846i	$0.403980\pi$
$72$	−5.97897	−	6.02096i	−0.704628	−	0.709577i
$73$	1.20612	+	0.115171i	0.141166	+	0.0134797i	0.165400	−	0.986227i	$-0.447109\pi$
$73$	1.20612	+	0.115171i	0.141166	+	0.0134797i	−0.0242337	+	0.999706i	$0.507715\pi$
$74$	−4.44570	+	5.62501i	−0.516802	+	0.653895i
$75$	−1.19239	−	2.00103i	−0.137685	−	0.231059i
$76$	−2.14964	−	4.21990i	−0.246581	−	0.484055i
$77$	−1.27207	+	1.61757i	−0.144966	+	0.184339i
$78$	−4.41272	−	0.583352i	−0.499642	−	0.0660516i
$79$	−9.81221	−	3.39604i	−1.10396	−	0.382084i	−0.286506	−	0.958078i	$-0.592494\pi$
$79$	−9.81221	−	3.39604i	−1.10396	−	0.382084i	−0.817454	+	0.575994i	$0.804615\pi$
$80$	−5.36473	−	8.52862i	−0.599796	−	0.953528i
$81$	6.84613	+	5.84213i	0.760681	+	0.649126i
$82$	−13.5018	−	2.63626i	−1.49102	−	0.291126i
$83$	4.24506	+	5.96136i	0.465956	+	0.654344i	0.978962	−	0.204041i	$-0.0654075\pi$
$83$	4.24506	+	5.96136i	0.465956	+	0.654344i	−0.513006	+	0.858385i	$0.671468\pi$
$84$	−1.80991	+	0.644584i	−0.197477	+	0.0703299i
$85$	−0.336824	−	7.07080i	−0.0365337	−	0.766936i
$86$	2.60427	−	2.99079i	0.280826	−	0.322505i
$87$	−3.39929	+	1.22926i	−0.364442	+	0.131790i
$88$	9.89198	+	3.50451i	1.05449	+	0.373582i
$89$	10.4511	+	1.50264i	1.10781	+	0.159279i	0.671851	−	0.740686i	$-0.265499\pi$
$89$	10.4511	+	1.50264i	1.10781	+	0.159279i	0.435961	+	0.899965i	$0.356408\pi$
$90$	6.41594	+	8.54653i	0.676299	+	0.900883i
$91$	−0.544876	+	0.847844i	−0.0571186	+	0.0888782i
$92$	−5.71838	−	4.54208i	−0.596182	−	0.473544i
$93$	3.93514	−	10.2364i	0.408055	−	1.06147i
$94$	3.30748	−	1.89889i	0.341141	−	0.195855i
$95$	1.95083	+	5.63655i	0.200151	+	0.578298i
$96$	6.06944	+	7.69168i	0.619459	+	0.785029i
$97$	2.46443	−	4.26851i	0.250225	−	0.433402i	−0.713363	−	0.700795i	$-0.752829\pi$
$97$	2.46443	−	4.26851i	0.250225	−	0.433402i	0.963588	+	0.267393i	$0.0861622\pi$
$98$	0.922520	−	9.41941i	0.0931886	−	0.951504i
$99$	−10.7626	−	2.84024i	−1.08168	−	0.285454i
$100$	1.10546	+	2.45204i	0.110546	+	0.245204i
$101$	−2.75260	+	0.667773i	−0.273894	+	0.0664459i	−0.370353	−	0.928891i	$-0.620763\pi$
$101$	−2.75260	+	0.667773i	−0.273894	+	0.0664459i	0.0964594	+	0.995337i	$0.469248\pi$
$102$	1.05703	+	6.80212i	0.104661	+	0.673510i
$103$	0.282492	−	1.46571i	0.0278348	−	0.144421i	−0.965353	−	0.260949i	$-0.915965\pi$
$103$	0.282492	−	1.46571i	0.0278348	−	0.144421i	0.993187	+	0.116528i	$0.0371766\pi$
$104$	4.98586	+	1.24807i	0.488904	+	0.122383i
$105$	2.36947	−	0.490661i	0.231236	−	0.0478836i
$106$	−1.57906	−	3.47999i	−0.153372	−	0.338007i
$107$	1.89962	+	4.15960i	0.183644	+	0.402124i	0.978955	−	0.204078i	$-0.0654197\pi$
$107$	1.89962	+	4.15960i	0.183644	+	0.402124i	−0.795311	+	0.606202i	$0.792692\pi$
$108$	−7.08773	−	7.60027i	−0.682017	−	0.731336i
$109$	0.421620	+	0.486575i	0.0403839	+	0.0466055i	0.775582	−	0.631247i	$-0.217456\pi$
$109$	0.421620	+	0.486575i	0.0403839	+	0.0466055i	−0.735198	+	0.677852i	$0.762911\pi$
$110$	−11.7332	−	6.08497i	−1.11871	−	0.580179i
$111$	−5.65833	+	6.71497i	−0.537064	+	0.637357i
$112$	2.16093	−	0.502073i	0.204188	−	0.0474414i
$113$	4.80201	+	3.41949i	0.451735	+	0.321679i	0.783179	−	0.621796i	$-0.213597\pi$
$113$	4.80201	+	3.41949i	0.451735	+	0.321679i	−0.331445	+	0.943475i	$0.607536\pi$
$114$	−2.46931	−	5.24836i	−0.231272	−	0.491554i
$115$	6.34697	+	6.65651i	0.591858	+	0.620723i
$116$	4.06100	−	0.964339i	0.377054	−	0.0895366i
$117$	−5.37937	−	0.883680i	−0.497323	−	0.0816962i
$118$	−9.65190	+	8.32249i	−0.888529	+	0.766147i
$119$	1.49551	+	0.439120i	0.137093	+	0.0402541i
$120$	−6.23945	−	10.6464i	−0.569582	−	0.971879i
$121$	2.71662	−	0.523585i	0.246965	−	0.0475986i
$122$	−17.1406	−	4.20235i	−1.55184	−	0.380463i
$123$	−16.4268	−	3.74601i	−1.48115	−	0.337766i
$124$	−5.85724	+	11.2273i	−0.525996	+	1.00824i
$125$	2.59390	+	8.83400i	0.232005	+	0.790137i
$126$	−2.24036	+	0.719511i	−0.199587	+	0.0640991i
$127$	7.80220	−	8.18271i	0.692333	−	0.726098i	−0.279921	−	0.960023i	$-0.590308\pi$
$127$	7.80220	−	8.18271i	0.692333	−	0.726098i	0.972255	+	0.233924i	$0.0751569\pi$
$128$	−5.95407	−	9.62024i	−0.526271	−	0.850317i
$129$	3.30293	−	3.56107i	0.290806	−	0.313535i
$130$	−6.00365	−	2.42042i	−0.526555	−	0.212285i
$131$	1.76116	+	12.2491i	0.153873	+	1.07021i	0.909649	+	0.415379i	$0.136351\pi$
$131$	1.76116	+	12.2491i	0.153873	+	1.07021i	−0.755776	+	0.654831i	$0.772740\pi$
$132$	11.9745	+	4.67015i	1.04225	+	0.406484i
$133$	−1.31331			−0.113878
$134$	−10.6850	+	4.45323i	−0.923042	+	0.384700i
$135$	7.52559	+	10.7087i	0.647699	+	0.921660i
$136$	−0.320393	−	7.94222i	−0.0274734	−	0.681039i
$137$	−6.23893	+	0.897022i	−0.533028	+	0.0766378i	−0.403573	−	0.914948i	$-0.632232\pi$
$137$	−6.23893	+	0.897022i	−0.533028	+	0.0766378i	−0.129455	+	0.991585i	$0.541323\pi$
$138$	−6.82556	−	5.77990i	−0.581030	−	0.492017i
$139$	−1.10489	−	0.504586i	−0.0937154	−	0.0427984i	0.368006	−	0.929824i	$-0.380041\pi$
$139$	−1.10489	−	0.504586i	−0.0937154	−	0.0427984i	−0.461721	+	0.887025i	$0.652768\pi$
$140$	−2.78268	+	0.252089i	−0.235179	+	0.0213054i
$141$	4.12180	−	2.19741i	0.347118	−	0.185055i
$142$	−13.5972	−	9.73233i	−1.14105	−	0.816719i
$143$	6.46916	−	1.89952i	0.540978	−	0.158846i
$144$	7.13427	+	9.64895i	0.594523	+	0.804079i
$145$	−5.23305	+	0.499695i	−0.434581	+	0.0414974i
$146$	−1.66419	−	0.408008i	−0.137729	−	0.0337669i
$147$	1.49127	−	11.4952i	0.122998	−	0.948112i
$148$	7.37220	−	6.96137i	0.605991	−	0.572221i
$149$	3.17899	−	10.8266i	0.260433	−	0.886953i	−0.720639	−	0.693310i	$-0.756152\pi$
$149$	3.17899	−	10.8266i	0.260433	−	0.886953i	0.981072	−	0.193643i	$-0.0620303\pi$
$150$	1.25901	+	3.04413i	0.102798	+	0.248552i
$151$	4.30316	+	8.34696i	0.350186	+	0.679266i	0.996481	−	0.0838219i	$-0.0267127\pi$
$151$	4.30316	+	8.34696i	0.350186	+	0.679266i	−0.646295	+	0.763088i	$0.723682\pi$
$152$	2.14441	+	6.34496i	0.173934	+	0.514644i
$153$	1.03255	+	8.36737i	0.0834770	+	0.676462i
$154$	2.11109	−	2.00316i	0.170117	−	0.161419i
$155$	9.25123	−	12.9915i	0.743077	−	1.04351i
$156$	6.05544	+	1.71941i	0.484823	+	0.137663i
$157$	−20.0628	−	8.03193i	−1.60119	−	0.641018i	−0.612426	−	0.790528i	$-0.709806\pi$
$157$	−20.0628	−	8.03193i	−1.60119	−	0.641018i	−0.988760	+	0.149510i	$0.952230\pi$
$158$	13.0355	+	6.76034i	1.03704	+	0.537824i
$159$	−1.79927	−	4.32069i	−0.142691	−	0.342653i
$160$	5.76154	+	13.0323i	0.455490	+	1.03029i
$161$	−1.84213	+	0.841271i	−0.145180	+	0.0663014i
$162$	−8.38432	−	9.57618i	−0.658734	−	0.752376i
$163$	19.1731	−	11.0696i	1.50175	−	0.867036i	0.501753	−	0.865011i	$-0.332689\pi$
$163$	19.1731	−	11.0696i	1.50175	−	0.867036i	0.999998	−	0.00202570i	$-0.000644801\pi$
$164$	18.3539	+	6.45227i	1.43320	+	0.503838i
$165$	−14.1292	−	7.89975i	−1.09996	−	0.614995i
$166$	−4.72018	−	9.21068i	−0.366357	−	0.714888i
$167$	0.136417	+	0.562318i	0.0105563	+	0.0435135i	0.976846	−	0.213943i	$-0.0686307\pi$
$167$	0.136417	+	0.562318i	0.0105563	+	0.0435135i	−0.966290	+	0.257457i	$0.917116\pi$
$168$	2.66457	−	0.531567i	0.205576	−	0.0410113i
$169$	−9.00326	+	3.60436i	−0.692558	+	0.277258i
$170$	−0.975787	+	9.96329i	−0.0748394	+	0.764149i
$171$	−2.82109	−	6.51963i	−0.215734	−	0.498569i
$172$	−4.25632	+	3.65210i	−0.324541	+	0.278470i
$173$	−16.4853	+	5.70563i	−1.25336	+	0.433791i	−0.871484	−	0.490423i	$-0.836842\pi$
$173$	−16.4853	+	5.70563i	−1.25336	+	0.433791i	−0.381873	+	0.924215i	$0.624721\pi$
$174$	5.00830	−	1.02443i	0.379678	−	0.0776618i
$175$	0.745041	+	0.0354907i	0.0563198	+	0.00268284i
$176$	−13.1249	−	6.92845i	−0.989325	−	0.522251i
$177$	−12.1351	+	9.81700i	−0.912131	+	0.737891i
$178$	−14.3169	−	4.24161i	−1.07310	−	0.317922i
$179$	−1.70940	+	11.8891i	−0.127767	+	0.888636i	0.820610	+	0.571489i	$0.193634\pi$
$179$	−1.70940	+	11.8891i	−0.127767	+	0.888636i	−0.948376	+	0.317147i	$0.897275\pi$
$180$	−7.22885	−	13.2725i	−0.538807	−	0.989272i
$181$	−17.2925	+	13.5990i	−1.28534	+	1.01081i	−0.286739	+	0.958009i	$0.592571\pi$
$181$	−17.2925	+	13.5990i	−1.28534	+	1.01081i	−0.998605	+	0.0527976i	$0.983186\pi$
$182$	0.935980	−	1.07490i	0.0693795	−	0.0796766i
$183$	−20.8211	−	5.80296i	−1.53914	−	0.428967i
$184$	7.07229	+	7.52618i	0.521376	+	0.554837i
$185$	−10.4023	+	7.40746i	−0.764794	+	0.544607i
$186$	−7.60154	+	13.5187i	−0.557372	+	0.991242i
$187$	−5.63731	−	8.77183i	−0.412241	−	0.641460i
$188$	−5.01688	+	1.98025i	−0.365893	+	0.144425i
$189$	−2.77016	+	0.794690i	−0.201500	+	0.0578052i
$190$	−1.57627	−	8.28663i	−0.114354	−	0.601175i
$191$	−1.63644	−	1.28691i	−0.118409	−	0.0931176i	0.557199	−	0.830379i	$-0.311876\pi$
$191$	−1.63644	−	1.28691i	−0.118409	−	0.0931176i	−0.675607	+	0.737262i	$0.736119\pi$
$192$	−6.91894	−	12.0053i	−0.499332	−	0.866411i
$193$	3.24327	−	3.74294i	0.233456	−	0.269422i	−0.626919	−	0.779085i	$-0.715684\pi$
$193$	3.24327	−	3.74294i	0.233456	−	0.269422i	0.860375	+	0.509662i	$0.170230\pi$
$194$	−4.32213	+	5.46867i	−0.310311	+	0.392628i
$195$	−7.25630	−	3.19365i	−0.519634	−	0.228702i
$196$	−3.21869	+	12.9920i	−0.229906	+	0.928002i
$197$	−2.36888	+	4.59499i	−0.168776	+	0.327379i	−0.958021	−	0.286699i	$-0.907442\pi$
$197$	−2.36888	+	4.59499i	−0.168776	+	0.327379i	0.789245	+	0.614079i	$0.210472\pi$
$198$	14.4790	+	6.17709i	1.02898	+	0.438986i
$199$	7.15748	+	1.73639i	0.507381	+	0.123089i	0.481274	−	0.876570i	$-0.340174\pi$
$199$	7.15748	+	1.73639i	0.507381	+	0.123089i	0.0261062	+	0.999659i	$0.491689\pi$
$200$	−1.04506	−	3.65745i	−0.0738968	−	0.258621i
$201$	−13.2511	+	5.04077i	−0.934658	+	0.355549i
$202$	3.98845	−	0.371085i	0.280626	−	0.0261094i
$203$	0.272885	−	1.12485i	0.0191528	−	0.0789488i
$204$	−0.0869988	−	9.73471i	−0.00609114	−	0.681566i
$205$	−21.7788	−	11.2277i	−1.52109	−	0.784179i
$206$	−0.695272	+	1.99319i	−0.0484419	+	0.138872i
$207$	−8.13334	−	7.33771i	−0.565306	−	0.510006i
$208$	−6.72142	−	2.76686i	−0.466046	−	0.191847i
$209$	6.63990	+	5.75351i	0.459292	+	0.397978i
$210$	−3.41608	+	0.201658i	−0.235732	+	0.0139158i
$211$	−8.09823	+	10.2977i	−0.557505	+	0.708926i	−0.980348	−	0.197278i	$-0.936790\pi$
$211$	−8.09823	+	10.2977i	−0.557505	+	0.708926i	0.422842	+	0.906203i	$0.361032\pi$
$212$	1.49741	+	5.19282i	0.102842	+	0.356644i
$213$	−16.2709	−	12.4363i	−1.11486	−	0.852120i
$214$	−1.80689	−	6.20941i	−0.123516	−	0.424467i
$215$	5.94218	−	3.81881i	0.405254	−	0.260441i
$216$	8.36257	+	12.0858i	0.569001	+	0.822337i
$217$	2.03697	+	2.86053i	0.138279	+	0.194185i
$218$	−0.490401	−	0.767166i	−0.0332141	−	0.0519591i
$219$	−2.02153	−	0.563411i	−0.136602	−	0.0380718i
$220$	15.1732	+	10.9162i	1.02298	+	0.735968i
$221$	−3.15677	−	4.01415i	−0.212347	−	0.270021i
$222$	9.29213	−	8.23840i	0.623647	−	0.552925i
$223$	−19.6772	−	2.82915i	−1.31768	−	0.189454i	−0.552632	−	0.833425i	$-0.686377\pi$
$223$	−19.6772	−	2.82915i	−1.31768	−	0.189454i	−0.765050	+	0.643971i	$0.777286\pi$
$224$	−3.12660	+	0.260307i	−0.208904	+	0.0173925i
$225$	1.42422	+	3.77483i	0.0949482	+	0.251655i
$226$	−6.01974	−	5.76777i	−0.400427	−	0.383666i
$227$	−1.27040	+	26.6690i	−0.0843195	+	1.77009i	0.420912	+	0.907101i	$0.361710\pi$
$227$	−1.27040	+	26.6690i	−0.0843195	+	1.77009i	−0.505232	+	0.862984i	$0.668593\pi$
$228$	2.38123	+	7.84954i	0.157701	+	0.519848i
$229$	−0.888025	−	2.56578i	−0.0586823	−	0.169551i	0.911849	−	0.410525i	$-0.134655\pi$
$229$	−0.888025	−	2.56578i	−0.0586823	−	0.169551i	−0.970532	+	0.240973i	$0.922533\pi$
$230$	−7.51916	−	10.6136i	−0.495799	−	0.699841i
$231$	2.66125	−	2.37103i	0.175098	−	0.156002i
$232$	−5.88002	+	0.518299i	−0.386042	+	0.0340280i
$233$	−9.39412	−	23.4654i	−0.615429	−	1.53727i	−0.828357	−	0.560200i	$-0.810724\pi$
$233$	−9.39412	−	23.4654i	−0.615429	−	1.53727i	0.212928	−	0.977068i	$-0.431700\pi$
$234$	7.34664	+	2.33750i	0.480265	+	0.152807i
$235$	6.60143	−	1.60149i	0.430630	−	0.104470i
$236$	15.2094	−	9.67052i	0.990050	−	0.629497i
$237$	15.6975	+	8.77655i	1.01966	+	0.570098i
$238$	−2.00283	−	0.920544i	−0.129824	−	0.0596700i
$239$	−8.24252	−	14.2765i	−0.533165	−	0.923468i	−0.999250	−	0.0387283i	$-0.987669\pi$
$239$	−8.24252	−	14.2765i	−0.533165	−	0.923468i	0.466085	−	0.884740i	$-0.345664\pi$
$240$	6.55214	+	16.1748i	0.422939	+	1.04408i
$241$	7.20366	+	15.7738i	0.464029	+	1.01608i	0.986551	+	0.163455i	$0.0522640\pi$
$241$	7.20366	+	15.7738i	0.464029	+	1.01608i	−0.522522	+	0.852626i	$0.675009\pi$
$242$	−3.90859	+	0.176682i	−0.251254	+	0.0113576i
$243$	−9.89560	−	12.0448i	−0.634803	−	0.772674i
$244$	23.1253	+	9.38847i	1.48044	+	0.601035i
$245$	6.26529	−	15.6499i	0.400275	−	0.999838i
$246$	22.2198	+	8.60381i	1.41668	+	0.548559i
$247$	3.50505	+	2.49593i	0.223021	+	0.158813i
$248$	10.4940	−	14.5119i	0.666368	−	0.921509i
$249$	−5.42421	−	11.4566i	−0.343745	−	0.726031i
$250$	−1.82174	−	12.8925i	−0.115217	−	0.815394i
$251$	19.2924	−	9.94590i	1.21772	−	0.627780i	0.275028	−	0.961436i	$-0.411313\pi$
$251$	19.2924	−	9.94590i	1.21772	−	0.627780i	0.942695	+	0.333656i	$0.108283\pi$
$252$	3.28224	−	0.548318i	0.206762	−	0.0345408i
$253$	12.9991	+	3.81687i	0.817245	+	0.239965i
$254$	−12.5925	+	9.85348i	−0.790124	+	0.618263i
$255$	−1.57738	+	12.1590i	−0.0987791	+	0.761425i
$256$	6.36281	+	14.6804i	0.397676	+	0.917526i
$257$	0.414061	+	4.33624i	0.0258284	+	0.270487i	0.999156	+	0.0410689i	$0.0130763\pi$
$257$	0.414061	+	4.33624i	0.0258284	+	0.270487i	−0.973328	+	0.229418i	$0.926318\pi$
$258$	−5.35068	+	4.30712i	−0.333119	+	0.268150i
$259$	−0.792176	−	2.69790i	−0.0492234	−	0.167639i
$260$	7.90569	+	4.61567i	0.490290	+	0.286251i
$261$	6.17023	−	1.06159i	0.381928	−	0.0657105i
$262$	0.0424766	−	17.5009i	0.00262421	−	1.08121i
$263$	11.2174	−	24.5627i	0.691695	−	1.51460i	−0.158063	−	0.987429i	$-0.550525\pi$
$263$	11.2174	−	24.5627i	0.691695	−	1.51460i	0.849759	−	0.527172i	$-0.176748\pi$
$264$	−15.8005	−	8.98577i	−0.972451	−	0.553036i
$265$	−0.968677	−	6.73729i	−0.0595053	−	0.413869i
$266$	1.83775	+	0.268782i	0.112680	+	0.0164801i
$267$	−17.3630	−	5.74251i	−1.06260	−	0.351436i
$268$	15.8632	−	4.04472i	0.968997	−	0.247071i
$269$			23.0643i			1.40626i	0.711063	+	0.703129i	$0.248214\pi$
$269$			23.0643i			1.40626i	−0.711063	+	0.703129i	$0.751786\pi$
$270$	−8.33910	−	16.5252i	−0.507502	−	1.00569i
$271$	30.4980	−	4.38495i	1.85262	−	0.266367i	0.876154	−	0.482031i	$-0.160101\pi$
$271$	30.4980	−	4.38495i	1.85262	−	0.266367i	0.976468	+	0.215664i	$0.0691915\pi$
$272$	−1.17712	+	11.1793i	−0.0713736	+	0.677846i
$273$	1.18708	−	1.27986i	0.0718453	−	0.0774605i
$274$	8.91388	+	0.0216349i	0.538507	+	0.00130701i
$275$	−3.61134	−	3.44340i	−0.217772	−	0.207645i
$276$	8.36827	+	9.48488i	0.503711	+	0.570923i
$277$	22.8807	−	6.71837i	1.37477	−	0.403668i	0.490822	−	0.871260i	$-0.336697\pi$
$277$	22.8807	−	6.71837i	1.37477	−	0.403668i	0.883944	+	0.467592i	$0.154878\pi$
$278$	1.44283	+	0.932207i	0.0865352	+	0.0559100i
$279$	−9.82487	+	16.2567i	−0.588200	+	0.973266i
$280$	3.94546	+	0.216749i	0.235787	+	0.0129533i
$281$	−1.97978	−	10.2721i	−0.118104	−	0.612781i	−0.991955	−	0.126588i	$-0.959597\pi$
$281$	−1.97978	−	10.2721i	−0.118104	−	0.612781i	0.873852	−	0.486193i	$-0.161615\pi$
$282$	−6.21747	+	2.23132i	−0.370245	+	0.132873i
$283$	−8.35232	+	28.4454i	−0.496494	+	1.69090i	0.205447	+	0.978668i	$0.434135\pi$
$283$	−8.35232	+	28.4454i	−0.496494	+	1.69090i	−0.701941	+	0.712235i	$0.747683\pi$
$284$	17.0351	+	16.4015i	1.01085	+	0.973251i
$285$	−1.61113	−	10.2046i	−0.0954352	−	0.604467i
$286$	−9.44122	+	1.33406i	−0.558271	+	0.0788848i
$287$	3.90460	−	3.72303i	0.230481	−	0.219763i
$288$	−8.00842	−	14.9621i	−0.471901	−	0.881652i
$289$	5.27986	−	7.41453i	0.310580	−	0.436149i
$290$	7.42501	+	0.371761i	0.436011	+	0.0218306i
$291$	−5.50106	+	6.52834i	−0.322478	+	0.382698i
$292$	2.24524	+	0.911530i	0.131393	+	0.0533432i
$293$	−13.0274	+	11.2883i	−0.761067	+	0.659469i	−0.946323	−	0.323222i	$-0.895234\pi$
$293$	−13.0274	+	11.2883i	−0.761067	+	0.659469i	0.185256	+	0.982690i	$0.440689\pi$
$294$	−4.43939	+	15.7804i	−0.258911	+	0.920331i
$295$	−20.6483	+	9.42978i	−1.20219	+	0.549023i
$296$	−11.7408	+	8.23243i	−0.682422	+	0.478500i
$297$	17.4870	+	8.11804i	1.01470	+	0.471056i
$298$	−6.66423	+	14.4994i	−0.386048	+	0.839927i
$299$	6.51523	+	1.25571i	0.376785	+	0.0726194i
$300$	−1.13875	−	4.51740i	−0.0657457	−	0.260812i
$301$	0.366668	+	1.51143i	0.0211344	+	0.0871172i
$302$	−4.31323	−	12.5608i	−0.248198	−	0.722793i
$303$	4.89669	−	0.300990i	0.281307	−	0.0172914i
$304$	−1.70216	−	9.31755i	−0.0976258	−	0.534398i
$305$	−27.2225	−	15.7169i	−1.55876	−	0.899949i
$306$	0.267591	−	11.9200i	0.0152972	−	0.681422i
$307$	21.9851	−	7.60913i	1.25476	−	0.434276i	0.382788	−	0.923836i	$-0.374964\pi$
$307$	21.9851	−	7.60913i	1.25476	−	0.434276i	0.871969	+	0.489561i	$0.162843\pi$
$308$	−3.36407	+	2.37102i	−0.191686	+	0.135101i
$309$	−0.927707	+	2.41323i	−0.0527754	+	0.137284i
$310$	−15.6043	+	16.2860i	−0.886267	+	0.924985i
$311$	9.08343	+	5.83757i	0.515074	+	0.331018i	0.772221	−	0.635354i	$-0.219146\pi$
$311$	9.08343	+	5.83757i	0.515074	+	0.331018i	−0.257146	+	0.966372i	$0.582782\pi$
$312$	−8.12164	−	3.64532i	−0.459797	−	0.206376i
$313$	−3.37788	+	23.4937i	−0.190929	+	1.32794i	0.638626	+	0.769518i	$0.279503\pi$
$313$	−3.37788	+	23.4937i	−0.190929	+	1.32794i	−0.829555	+	0.558425i	$0.811406\pi$
$314$	26.4306	+	15.3454i	1.49156	+	0.865989i
$315$	−4.18951	+	0.115584i	−0.236052	+	0.00651241i
$316$	−16.8573	−	12.1278i	−0.948296	−	0.682240i
$317$	16.1419	−	0.768935i	0.906622	−	0.0431877i	0.410911	−	0.911675i	$-0.365211\pi$
$317$	16.1419	−	0.768935i	0.906622	−	0.0431877i	0.495711	+	0.868488i	$0.334908\pi$
$318$	1.63349	+	6.41429i	0.0916014	+	0.359695i
$319$	−6.30754	+	4.49158i	−0.353154	+	0.251480i
$320$	−5.39509	−	19.4156i	−0.301595	−	1.08536i
$321$	−1.97327	−	7.67064i	−0.110137	−	0.428133i
$322$	2.74991	−	0.800202i	0.153247	−	0.0445935i
$323$	2.17650	−	6.28857i	0.121103	−	0.349906i
$324$	9.77253	+	15.1161i	0.542918	+	0.839786i
$325$	−1.92097	−	1.51067i	−0.106556	−	0.0837966i
$326$	−29.0949	+	11.5660i	−1.61142	+	0.640581i
$327$	−0.570839	−	0.957966i	−0.0315675	−	0.0529756i
$328$	−24.3625	−	12.7851i	−1.34520	−	0.705942i
$329$	−0.142174	+	1.48892i	−0.00783833	+	0.0820867i
$330$	18.1547	+	13.9460i	0.999381	+	0.767703i
$331$	−4.81011	+	9.33032i	−0.264388	+	0.512841i	−0.983239	−	0.182324i	$-0.941638\pi$
$331$	−4.81011	+	9.33032i	−0.264388	+	0.512841i	0.718851	+	0.695164i	$0.244668\pi$
$332$	4.72000	+	13.8548i	0.259044	+	0.760380i
$333$	11.6915	−	9.72789i	0.640689	−	0.533085i
$334$	−0.0758075	−	0.814786i	−0.00414800	−	0.0445831i
$335$	−20.4896	+	2.29847i	−1.11946	+	0.125579i
$336$	−3.83740	+	0.198503i	−0.209347	+	0.0108292i
$337$	−4.36229	+	17.9816i	−0.237629	+	0.979520i	0.720562	+	0.693390i	$0.243884\pi$
$337$	−4.36229	+	17.9816i	−0.237629	+	0.979520i	−0.958191	+	0.286129i	$0.907631\pi$
$338$	13.3362	−	3.20107i	0.725392	−	0.174115i
$339$	−7.14737	−	7.29190i	−0.388192	−	0.396041i
$340$	3.40454	−	13.7422i	0.184637	−	0.745275i
$341$	2.23312	−	23.3862i	0.120930	−	1.26644i
$342$	2.61332	+	9.70045i	0.141312	+	0.524541i
$343$	5.73923	+	4.97308i	0.309890	+	0.268521i
$344$	6.70342	−	4.23938i	0.361424	−	0.228572i
$345$	−8.79666	−	13.2815i	−0.473596	−	0.715053i
$346$	24.2361	−	4.61014i	1.30294	−	0.247843i
$347$	−7.76232	+	22.4277i	−0.416703	+	1.20398i	0.520094	+	0.854109i	$0.325897\pi$
$347$	−7.76232	+	22.4277i	−0.416703	+	1.20398i	−0.936796	+	0.349875i	$0.886224\pi$
$348$	−7.21790	+	0.408511i	−0.386920	+	0.0218985i
$349$	21.4470	−	13.7832i	1.14803	−	0.737795i	0.178786	−	0.983888i	$-0.442783\pi$
$349$	21.4470	−	13.7832i	1.14803	−	0.737795i	0.969246	+	0.246093i	$0.0791467\pi$
$350$	−1.03529	−	0.202143i	−0.0553387	−	0.0108050i
$351$	8.90351	+	3.14375i	0.475234	+	0.167801i
$352$	16.9480	+	12.3813i	0.903332	+	0.659926i
$353$	−0.595472	+	0.0283658i	−0.0316938	+	0.00150976i	−0.0634228	−	0.997987i	$-0.520202\pi$
$353$	−0.595472	+	0.0283658i	−0.0316938	+	0.00150976i	0.0317290	+	0.999497i	$0.489899\pi$
$354$	18.9901	−	11.2536i	1.00931	−	0.598122i
$355$	−18.4105	−	23.4109i	−0.977129	−	1.24252i
$356$	19.1660	+	8.86550i	1.01580	+	0.469871i
$357$	−2.41637	−	1.20384i	−0.127888	−	0.0637141i
$358$	4.82525	−	16.2869i	0.255022	−	0.860792i
$359$	14.8840	+	9.56537i	0.785548	+	0.504841i	0.870871	−	0.491512i	$-0.163556\pi$
$359$	14.8840	+	9.56537i	0.785548	+	0.504841i	−0.0853228	+	0.996353i	$0.527192\pi$
$360$	7.39917	+	20.0520i	0.389971	+	1.05683i
$361$	0.637259	−	13.3777i	0.0335399	−	0.704090i
$362$	26.9811	−	15.4903i	1.41809	−	0.814155i
$363$	−4.79146	+	0.0660828i	−0.251486	+	0.00346845i
$364$	−1.52973	+	1.31257i	−0.0801797	+	0.0687975i
$365$	−2.64304	−	1.52596i	−0.138343	−	0.0798725i
$366$	27.9478	+	12.3815i	1.46086	+	0.647191i
$367$	3.56422	+	8.90299i	0.186051	+	0.464732i	0.991843	−	0.127466i	$-0.0406844\pi$
$367$	3.56422	+	8.90299i	0.186051	+	0.464732i	−0.805792	+	0.592198i	$0.798260\pi$
$368$	−8.35613	−	11.9790i	−0.435593	−	0.624448i
$369$	26.8695	+	11.3862i	1.39877	+	0.592739i
$370$	16.0723	−	8.23651i	0.835557	−	0.428196i
$371$	1.47162	+	0.283631i	0.0764025	+	0.0147254i
$372$	13.4038	−	17.3614i	0.694954	−	0.900147i
$373$	−3.31657	−	5.74447i	−0.171726	−	0.297438i	0.767298	−	0.641291i	$-0.221601\pi$
$373$	−3.31657	−	5.74447i	−0.171726	−	0.297438i	−0.939023	+	0.343854i	$0.888268\pi$
$374$	6.09319	+	13.4284i	0.315072	+	0.694365i
$375$	−1.73462	−	15.8523i	−0.0895756	−	0.818608i
$376$	7.42553	−	1.74426i	0.382942	−	0.0899535i
$377$	−2.86606	+	2.48345i	−0.147610	+	0.127904i
$378$	4.03900	−	0.545088i	0.207744	−	0.0280363i
$379$	0.876611	−	2.18967i	0.0450285	−	0.112476i	−0.904149	−	0.427218i	$-0.859494\pi$
$379$	0.876611	−	2.18967i	0.0450285	−	0.112476i	0.949177	+	0.314742i	$0.101918\pi$
$380$	0.509766	+	11.9183i	0.0261505	+	0.611396i
$381$	−15.7937	+	11.5782i	−0.809134	+	0.593167i
$382$	2.02653	+	2.13572i	0.103686	+	0.109273i
$383$	18.1649	−	17.3202i	0.928185	−	0.885022i	−0.0654289	−	0.997857i	$-0.520842\pi$
$383$	18.1649	−	17.3202i	0.928185	−	0.885022i	0.993614	+	0.112835i	$0.0359931\pi$
$384$	7.22484	+	18.2154i	0.368691	+	0.929552i
$385$	4.60726	−	2.37521i	0.234808	−	0.121052i
$386$	−5.30443	+	4.57382i	−0.269988	+	0.232801i
$387$	−6.71551	+	5.06691i	−0.341369	+	0.257565i
$388$	7.16730	−	6.76789i	0.363864	−	0.343587i
$389$	1.07787	+	5.59253i	0.0546502	+	0.283552i	0.998965	−	0.0454920i	$-0.0144856\pi$
$389$	1.07787	+	5.59253i	0.0546502	+	0.283552i	−0.944314	+	0.329044i	$0.893273\pi$
$390$	9.50032	+	5.95403i	0.481067	+	0.301494i
$391$	−0.975408	−	10.2149i	−0.0493285	−	0.516592i
$392$	7.16295	−	17.5213i	0.361783	−	0.884961i
$393$	0.724531	−	21.4220i	0.0365478	−	1.08060i
$394$	4.25525	−	5.94507i	0.214376	−	0.299508i
$395$	18.9289	+	18.0486i	0.952415	+	0.908125i
$396$	−18.9967	−	11.6070i	−0.954620	−	0.583276i
$397$	−12.9107	+	28.2704i	−0.647968	+	1.41885i	0.245354	+	0.969434i	$0.421096\pi$
$397$	−12.9107	+	28.2704i	−0.647968	+	1.41885i	−0.893322	+	0.449418i	$0.851631\pi$
$398$	−9.66029	−	3.89463i	−0.484226	−	0.195220i
$399$	2.23933	+	0.399650i	0.112107	+	0.0200075i
$400$	0.713842	+	5.33185i	0.0356921	+	0.266592i
$401$		−	21.4096i		−	1.06914i	−0.845123	−	0.534571i	$-0.820473\pi$
$401$		−	21.4096i		−	1.06914i	0.845123	−	0.534571i	$-0.179527\pi$
$402$	19.5742	−	4.34172i	0.976273	−	0.216545i
$403$		−	11.5056i		−	0.573136i
$404$	−5.65709	−	0.297010i	−0.281451	−	0.0147768i
$405$	−9.57320	−	20.5496i	−0.475696	−	1.02112i
$406$	−0.612067	+	1.51818i	−0.0303764	+	0.0753460i
$407$	−7.81418	+	17.1107i	−0.387335	+	0.848144i
$408$	−1.87057	+	13.6398i	−0.0926071	+	0.675273i
$409$	28.0364	+	26.7326i	1.38631	+	1.32184i	0.891628	+	0.452768i	$0.149563\pi$
$409$	28.0364	+	26.7326i	1.38631	+	1.32184i	0.494680	+	0.869075i	$0.335285\pi$
$410$	28.1777	+	20.1685i	1.39160	+	0.996052i
$411$	10.9110	+	0.369031i	0.538201	+	0.0182030i
$412$	1.38084	−	2.64683i	0.0680291	−	0.130400i
$413$	−0.475100	−	4.97547i	−0.0233781	−	0.244827i
$414$	9.87946	+	11.9324i	0.485549	+	0.586447i
$415$	−3.48870	−	18.1011i	−0.171253	−	0.888547i
$416$	8.83919	+	5.24735i	0.433377	+	0.257272i
$417$	1.73041	+	1.19660i	0.0847383	+	0.0585977i
$418$	−8.11387	−	9.40996i	−0.396862	−	0.460256i
$419$	−11.8399	+	6.10389i	−0.578417	+	0.298195i	−0.722500	−	0.691371i	$-0.757007\pi$
$419$	−11.8399	+	6.10389i	−0.578417	+	0.298195i	0.144083	+	0.989566i	$0.453977\pi$
$420$	4.82148	+	0.416950i	0.235264	+	0.0203451i
$421$	−0.806541	+	0.769035i	−0.0393084	+	0.0374805i	−0.709479	−	0.704727i	$-0.751070\pi$
$421$	−0.806541	+	0.769035i	−0.0393084	+	0.0374805i	0.670170	+	0.742207i	$0.266221\pi$
$422$	13.4396	−	12.7525i	0.654230	−	0.620783i
$423$	−7.69681	+	2.49252i	−0.374232	+	0.121191i
$424$	−1.03260	−	7.57291i	−0.0501473	−	0.367773i
$425$	−1.40467	+	3.50869i	−0.0681365	+	0.170197i
$426$	20.2231	+	20.7324i	0.979811	+	1.00449i
$427$	5.23072	−	4.53244i	0.253132	−	0.219340i
$428$	1.25761	+	9.05879i	0.0607887	+	0.437873i
$429$	−11.6087	+	1.27027i	−0.560471	+	0.0613292i
$430$	−9.09661	+	4.12763i	−0.438678	+	0.199052i
$431$	12.1487	+	21.0422i	0.585182	+	1.01357i	0.994853	+	0.101332i	$0.0323104\pi$
$431$	12.1487	+	21.0422i	0.585182	+	1.01357i	−0.409670	+	0.912234i	$0.634356\pi$
$432$	−9.22847	−	18.6235i	−0.444005	−	0.896024i
$433$	5.13435	+	0.989566i	0.246741	+	0.0475555i	0.311122	−	0.950370i	$-0.399295\pi$
$433$	5.13435	+	0.989566i	0.246741	+	0.0475555i	−0.0643809	+	0.997925i	$0.520507\pi$
$434$	−2.26495	−	4.41970i	−0.108721	−	0.212152i
$435$	9.07498	+	0.740420i	0.435112	+	0.0355004i
$436$	0.529222	+	1.17388i	0.0253452	+	0.0562187i
$437$	3.21348	+	8.02689i	0.153722	+	0.383978i
$438$	2.71347	+	1.20212i	0.129654	+	0.0574397i
$439$	−35.1604	−	20.2999i	−1.67811	−	0.968859i	−0.962863	−	0.269990i	$-0.912979\pi$
$439$	−35.1604	−	20.2999i	−1.67811	−	0.968859i	−0.715250	−	0.698869i	$-0.753687\pi$
$440$	−18.9981	−	18.3806i	−0.905701	−	0.876263i
$441$	−6.04086	+	19.1468i	−0.287660	+	0.911754i
$442$	3.59581	+	6.26318i	0.171035	+	0.297909i
$443$	−0.674702	+	14.1637i	−0.0320561	+	0.672940i	0.924463	+	0.381271i	$0.124514\pi$
$443$	−0.674702	+	14.1637i	−0.0320561	+	0.672940i	−0.956519	+	0.291669i	$0.905789\pi$
$444$	−14.6888	+	9.62648i	−0.697100	+	0.456853i
$445$	−22.3739	−	14.3789i	−1.06063	−	0.681623i
$446$	26.9558	+	7.98605i	1.27639	+	0.378150i
$447$	−8.71515	+	17.4932i	−0.412212	+	0.827401i
$448$	4.42840	+	0.275636i	0.209222	+	0.0130226i
$449$	12.0049	+	15.2655i	0.566546	+	0.720422i	0.981934	−	0.189222i	$-0.0605966\pi$
$449$	12.0049	+	15.2655i	0.566546	+	0.720422i	−0.415388	+	0.909644i	$0.636354\pi$
$450$	−1.22039	−	5.57370i	−0.0575299	−	0.262747i
$451$	−36.0514	+	1.71734i	−1.69759	+	0.0808664i
$452$	7.24314	+	9.30299i	0.340689	+	0.437576i
$453$	−4.79731	−	15.5420i	−0.225397	−	0.730225i
$454$	7.23580	−	37.0587i	0.339593	−	1.73925i
$455$	2.13563	−	1.37249i	0.100120	−	0.0643433i
$456$	−1.72563	−	11.4714i	−0.0808100	−	0.537198i
$457$	2.26014	−	6.53025i	0.105725	−	0.305472i	−0.879714	−	0.475504i	$-0.842266\pi$
$457$	2.26014	−	6.53025i	0.105725	−	0.305472i	0.985439	+	0.170032i	$0.0543870\pi$
$458$	0.717523	+	3.77211i	0.0335276	+	0.176259i
$459$	0.785637	−	14.5815i	0.0366704	−	0.680606i
$460$	8.34957	+	16.3908i	0.389301	+	0.764224i
$461$	−19.5274	−	16.9206i	−0.909483	−	0.788071i	0.0683061	−	0.997664i	$-0.478241\pi$
$461$	−19.5274	−	16.9206i	−0.909483	−	0.788071i	−0.977789	+	0.209593i	$0.932786\pi$
$462$	−4.20922	+	2.77319i	−0.195830	+	0.129020i
$463$	−0.953270	+	9.98309i	−0.0443022	+	0.463954i	0.945915	+	0.324416i	$0.105168\pi$
$463$	−0.953270	+	9.98309i	−0.0443022	+	0.463954i	−0.990217	+	0.139538i	$0.955438\pi$
$464$	8.33415	+	0.478139i	0.386903	+	0.0221971i
$465$	−19.7278	+	19.3368i	−0.914854	+	0.896721i
$466$	8.34300	+	34.7583i	0.386482	+	1.61015i
$467$	9.07646	−	37.4137i	0.420009	−	1.73130i	−0.231662	−	0.972796i	$-0.574416\pi$
$467$	9.07646	−	37.4137i	0.420009	−	1.73130i	0.651670	−	0.758502i	$-0.274069\pi$
$468$	−9.80196	−	4.77449i	−0.453096	−	0.220701i
$469$	0.997307	−	4.42887i	0.0460513	−	0.204506i
$470$	−9.56532	+	0.889955i	−0.441215	+	0.0410506i
$471$	31.7651	+	19.8006i	1.46366	+	0.912363i
$472$	−23.2621	+	10.4194i	−1.07073	+	0.479593i
$473$	4.76763	−	9.24790i	0.219216	−	0.425219i
$474$	−20.1696	−	15.4939i	−0.926422	−	0.711658i
$475$	0.302709	−	3.17011i	0.0138892	−	0.145455i
$476$	2.61421	+	1.69804i	0.119822	+	0.0778296i
$477$	1.75313	+	7.91477i	0.0802702	+	0.362392i
$478$	8.61215	+	21.6644i	0.393911	+	0.990905i
$479$	−13.2279	−	10.4025i	−0.604398	−	0.475304i	0.268452	−	0.963293i	$-0.413488\pi$
$479$	−13.2279	−	10.4025i	−0.604398	−	0.475304i	−0.872849	+	0.487990i	$0.837730\pi$
$480$	−5.85825	−	23.9747i	−0.267391	−	1.09429i
$481$	−3.01313	+	8.70587i	−0.137387	+	0.396954i
$482$	−6.85200	−	23.5470i	−0.312100	−	1.07254i
$483$	3.39703	−	0.873886i	0.154570	−	0.0397632i
$484$	5.50555	+	0.552698i	0.250252	+	0.0251226i
$485$	−10.1132	+	7.20158i	−0.459217	+	0.327007i
$486$	11.3821	+	18.8798i	0.516301	+	0.856407i
$487$	−14.5554	+	0.693359i	−0.659568	+	0.0314191i	−0.374698	−	0.927147i	$-0.622253\pi$
$487$	−14.5554	+	0.693359i	−0.659568	+	0.0314191i	−0.284870	+	0.958566i	$0.591950\pi$
$488$	−30.4384	−	17.8704i	−1.37788	−	0.808953i
$489$	−36.0607	+	13.0403i	−1.63072	+	0.589704i
$490$	−11.9701	+	20.6171i	−0.540754	+	0.931386i
$491$	2.42887	−	16.8931i	0.109613	−	0.762377i	−0.858671	−	0.512527i	$-0.828710\pi$
$491$	2.42887	−	16.8931i	0.109613	−	0.762377i	0.968285	−	0.249850i	$-0.0803813\pi$
$492$	−29.3319	−	16.5870i	−1.32238	−	0.747802i
$493$	4.93391	+	3.17083i	0.222212	+	0.142807i
$494$	−4.39389	−	4.20997i	−0.197690	−	0.189416i
$495$	21.6879	+	17.7696i	0.974801	+	0.798683i
$496$	−17.6545	+	18.1592i	−0.792712	+	0.815373i
$497$	6.19703	−	2.14481i	0.277975	−	0.0962081i
$498$	5.24554	+	17.1416i	0.235058	+	0.768134i
$499$	−10.4812	−	6.05131i	−0.469202	−	0.270894i	0.246704	−	0.969091i	$-0.420653\pi$
$499$	−10.4812	−	6.05131i	−0.469202	−	0.270894i	−0.715905	+	0.698197i	$0.753986\pi$
$500$	−0.0893843	+	18.4137i	−0.00399739	+	0.823484i
$501$	−0.0614881	−	1.00033i	−0.00274709	−	0.0446913i
$502$	−29.0318	+	9.96918i	−1.29575	+	0.444946i
$503$	3.13173	+	12.9092i	0.139637	+	0.575591i	0.998038	+	0.0626119i	$0.0199430\pi$
$503$	3.13173	+	12.9092i	0.139637	+	0.575591i	−0.858401	+	0.512979i	$0.828542\pi$
$504$	−4.70515	+	0.0955303i	−0.209584	+	0.00425526i
$505$	7.00570	+	1.35024i	0.311750	+	0.0600848i
$506$	−17.4088	−	8.00145i	−0.773915	−	0.355708i
$507$	16.4484	−	3.40607i	0.730498	−	0.151269i
$508$	19.6376	−	11.2111i	0.871279	−	0.497410i
$509$	0.185601	−	0.0847611i	0.00822661	−	0.00375697i	−0.411297	−	0.911501i	$-0.634924\pi$
$509$	0.185601	−	0.0847611i	0.00822661	−	0.00375697i	0.419524	+	0.907744i	$0.362197\pi$
$510$	4.69573	−	16.6916i	0.207930	−	0.739114i
$511$	0.507852	−	0.440057i	0.0224661	−	0.0194670i
$512$	−5.89915	−	21.8449i	−0.260708	−	0.965418i
$513$	2.82630	+	11.9752i	0.124784	+	0.528716i
$514$	0.308051	−	6.15255i	0.0135875	−	0.271378i
$515$	−2.18097	+	3.06274i	−0.0961050	+	0.134961i
$516$	8.36885	−	4.93200i	0.368418	−	0.217119i
$517$	7.24165	−	6.90490i	0.318488	−	0.303677i
$518$	0.556358	+	3.93737i	0.0244450	+	0.172998i
$519$	29.8456	−	4.71211i	1.31008	−	0.206839i
$520$	−10.1180	−	8.07681i	−0.443704	−	0.354191i
$521$	−2.04147	+	6.95260i	−0.0894383	+	0.304599i	−0.992048	−	0.125861i	$-0.959831\pi$
$521$	−2.04147	+	6.95260i	−0.0894383	+	0.304599i	0.902610	+	0.430460i	$0.141649\pi$
$522$	−8.85143	+	0.222703i	−0.387417	+	0.00974743i
$523$	5.46649	+	28.3629i	0.239033	+	1.24022i	0.880862	+	0.473373i	$0.156964\pi$
$523$	5.46649	+	28.3629i	0.239033	+	1.24022i	−0.641829	+	0.766848i	$0.721824\pi$
$524$	−3.64119	+	24.4808i	−0.159066	+	1.06945i
$525$	−1.25958	−	0.287237i	−0.0549724	−	0.0125360i
$526$	−20.7238	+	32.0755i	−0.903602	+	1.39856i
$527$	−17.0730	+	5.01308i	−0.743711	+	0.218373i
$528$	20.2710	+	15.8078i	0.882181	+	0.687944i
$529$	−6.99664	−	6.67129i	−0.304202	−	0.290056i
$530$	−0.0233631	+	9.62592i	−0.00101483	+	0.418123i
$531$	23.6791	−	13.0462i	1.02758	−	0.566159i
$532$	−2.51660	−	0.752229i	−0.109108	−	0.0326132i
$533$	−17.4965	+	2.51561i	−0.757856	+	0.108963i
$534$	23.1212	+	11.5892i	1.00055	+	0.501512i
$535$		−	11.5185i		−	0.497989i
$536$	−23.0255	+	2.41332i	−0.994552	+	0.104240i
$537$	6.53267	−	19.7521i	0.281905	−	0.852366i
$538$	4.72036	−	32.2745i	0.203509	−	1.39145i
$539$	−3.53383	−	24.5783i	−0.152213	−	1.05866i
$540$	8.28707	+	24.8308i	0.356619	+	1.06855i
$541$	10.5275	−	23.0520i	0.452612	−	0.991082i	−0.536498	−	0.843902i	$-0.680253\pi$
$541$	10.5275	−	23.0520i	0.452612	−	0.991082i	0.989110	−	0.147180i	$-0.0470197\pi$
$542$	−43.5741	−	0.105759i	−1.87167	−	0.00454273i
$543$	33.6240	−	17.9255i	1.44294	−	0.769259i
$544$	3.93515	−	15.4026i	0.168718	−	0.660381i
$545$	−0.456899	−	1.55605i	−0.0195714	−	0.0666540i
$546$	−1.92305	+	1.54799i	−0.0822988	+	0.0662478i
$547$	2.94362	+	30.8270i	0.125860	+	1.31807i	0.809012	+	0.587792i	$0.200003\pi$
$547$	2.94362	+	30.8270i	0.125860	+	1.31807i	−0.683152	+	0.730276i	$0.739391\pi$
$548$	−12.4690	−	1.85459i	−0.532649	−	0.0792243i
$549$	33.7363	+	16.2307i	1.43983	+	0.692709i
$550$	4.34871	+	5.55754i	0.185430	+	0.236974i
$551$	−4.74162	−	1.39226i	−0.202000	−	0.0593125i
$552$	−9.76876	−	14.9851i	−0.415786	−	0.637808i
$553$	−5.11862	+	2.63883i	−0.217666	+	0.112215i
$554$	−33.3925	+	4.71842i	−1.41871	+	0.200467i
$555$	19.9912	−	9.46502i	0.848581	−	0.401768i
$556$	−1.82820	−	1.59975i	−0.0775332	−	0.0678446i
$557$	10.9259	+	7.78033i	0.462947	+	0.329663i	0.787618	−	0.616164i	$-0.211314\pi$
$557$	10.9259	+	7.78033i	0.462947	+	0.329663i	−0.324671	+	0.945827i	$0.605254\pi$
$558$	17.0753	−	20.7377i	0.722856	−	0.877898i
$559$	1.89387	−	4.73065i	0.0801020	−	0.200085i
$560$	−5.47663	−	1.11078i	−0.231430	−	0.0469392i
$561$	6.94290	+	16.6724i	0.293129	+	0.703909i
$562$	0.668071	+	14.7792i	0.0281809	+	0.623422i
$563$	−4.86319	−	10.6489i	−0.204959	−	0.448798i	0.779039	−	0.626975i	$-0.215707\pi$
$563$	−4.86319	−	10.6489i	−0.204959	−	0.448798i	−0.983998	+	0.178177i	$0.942980\pi$
$564$	9.15693	−	1.84987i	0.385576	−	0.0778938i
$565$	−7.42458	−	12.8598i	−0.312355	−	0.541014i
$566$	17.5093	−	38.0950i	0.735970	−	1.60125i
$567$	4.96526	−	0.512052i	0.208521	−	0.0215042i
$568$	−20.4809	−	26.4375i	−0.859359	−	1.10929i
$569$	−23.2113	+	5.63100i	−0.973069	+	0.236064i	−0.690620	−	0.723218i	$-0.742662\pi$
$569$	−23.2113	+	5.63100i	−0.973069	+	0.236064i	−0.282449	+	0.959282i	$0.591147\pi$
$570$	0.166024	+	14.6093i	0.00695400	+	0.611915i
$571$	8.02717	+	20.0509i	0.335927	+	0.839104i	0.996120	+	0.0880082i	$0.0280502\pi$
$571$	8.02717	+	20.0509i	0.335927	+	0.839104i	−0.660193	+	0.751096i	$0.729526\pi$
$572$	13.4844	+	0.0654563i	0.563810	+	0.00273687i
$573$	2.39869	+	2.69230i	0.100207	+	0.112473i
$574$	−6.22577	+	4.41061i	−0.259858	+	0.184096i
$575$	−1.60609	−	4.64050i	−0.0669787	−	0.193522i
$576$	8.14423	+	22.5759i	0.339343	+	0.940663i
$577$	−1.17516	+	24.6696i	−0.0489224	+	1.02701i	0.832306	+	0.554316i	$0.187020\pi$
$577$	−1.17516	+	24.6696i	−0.0489224	+	1.02701i	−0.881228	+	0.472691i	$0.843283\pi$
$578$	−8.90571	+	9.29477i	−0.370429	+	0.386611i
$579$	−6.66914	+	5.39516i	−0.277160	+	0.224215i
$580$	−10.3139	−	2.03982i	−0.428262	−	0.0846989i
$581$	4.01760	+	0.577644i	0.166678	+	0.0239647i
$582$	9.03387	−	8.00943i	0.374466	−	0.332001i
$583$	−6.19771	−	7.88103i	−0.256683	−	0.326399i
$584$	−2.95527	−	1.73504i	−0.122290	−	0.0717965i
$585$	11.4009	+	7.65367i	0.471371	+	0.316440i
$586$	20.5398	−	13.1298i	0.848492	−	0.542387i
$587$	19.6378	+	27.5774i	0.810539	+	1.13824i	0.988051	+	0.154124i	$0.0492556\pi$
$587$	19.6378	+	27.5774i	0.810539	+	1.13824i	−0.177512	+	0.984119i	$0.556805\pi$
$588$	9.44178	−	21.1733i	0.389373	−	0.873174i
$589$	12.6129	−	8.10582i	0.519706	−	0.333994i
$590$	30.8237	−	8.96945i	1.26899	−	0.369266i
$591$	5.43749	−	7.11409i	0.223669	−	0.292635i
$592$	18.1141	−	9.11697i	0.744485	−	0.374705i
$593$	13.7094	−	17.4330i	0.562979	−	0.715886i	−0.418337	−	0.908292i	$-0.637387\pi$
$593$	13.7094	−	17.4330i	0.562979	−	0.715886i	0.981315	+	0.192406i	$0.0616291\pi$
$594$	−22.8086	−	14.9387i	−0.935849	−	0.612942i
$595$	−2.96712	−	2.57102i	−0.121640	−	0.105402i
$596$	12.2929	−	18.9255i	0.503536	−	0.775218i
$597$	−11.6759	−	5.13880i	−0.477863	−	0.210317i
$598$	−8.85993	−	3.09055i	−0.362310	−	0.126382i
$599$	−17.2989	−	8.91821i	−0.706814	−	0.364388i	0.0670413	−	0.997750i	$-0.478644\pi$
$599$	−17.2989	−	8.91821i	−0.706814	−	0.364388i	−0.773856	+	0.633362i	$0.781674\pi$
$600$	0.668950	+	6.55437i	0.0273098	+	0.267581i
$601$	−5.51286	+	22.7243i	−0.224874	+	0.926944i	0.741736	+	0.670692i	$0.234003\pi$
$601$	−5.51286	+	22.7243i	−0.224874	+	0.926944i	−0.966610	+	0.256252i	$0.917512\pi$
$602$	−0.203759	−	2.19002i	−0.00830460	−	0.0892586i
$603$	24.1284	−	4.56267i	0.982586	−	0.185806i
$604$	3.46491	+	18.4594i	0.140985	+	0.751103i
$605$	−6.77238	−	1.64296i	−0.275336	−	0.0667959i
$606$	−6.91367	−	0.580976i	−0.280849	−	0.0236005i
$607$	3.37870	−	6.55377i	0.137137	−	0.266009i	−0.810259	−	0.586072i	$-0.800674\pi$
$607$	3.37870	−	6.55377i	0.137137	−	0.266009i	0.947396	+	0.320063i	$0.103704\pi$
$608$	0.474949	+	13.3867i	0.0192617	+	0.542900i
$609$	−0.807598	+	1.83495i	−0.0327255	+	0.0743558i
$610$	34.8766	+	27.5645i	1.41211	+	1.11605i
$611$	3.20913	−	3.70353i	0.129827	−	0.149829i
$612$	−2.81400	+	16.6252i	−0.113749	+	0.672035i
$613$	−26.4995	−	20.8394i	−1.07030	−	0.841697i	−0.0823751	−	0.996601i	$-0.526251\pi$
$613$	−26.4995	−	20.8394i	−1.07030	−	0.841697i	−0.987929	+	0.154905i	$0.950493\pi$
$614$	−32.3216	+	6.14816i	−1.30440	+	0.248120i
$615$	33.7185	+	25.7719i	1.35966	+	1.03923i
$616$	5.19269	−	2.62934i	0.209219	−	0.105939i
$617$	−0.996095	−	1.54995i	−0.0401013	−	0.0623988i	0.820624	−	0.571468i	$-0.193626\pi$
$617$	−0.996095	−	1.54995i	−0.0401013	−	0.0623988i	−0.860725	+	0.509069i	$0.829990\pi$
$618$	1.79206	−	3.18703i	0.0720871	−	0.128201i
$619$	−39.0111	+	27.7797i	−1.56799	+	1.11656i	−0.626544	+	0.779386i	$0.715531\pi$
$619$	−39.0111	+	27.7797i	−1.56799	+	1.11656i	−0.941443	+	0.337173i	$0.890529\pi$
$620$	25.1687	−	19.5959i	1.01080	−	0.786990i
$621$	11.6353	+	14.9866i	0.466909	+	0.601393i
$622$	−11.5160	−	10.0277i	−0.461748	−	0.402073i
$623$	4.60313	−	3.61994i	0.184420	−	0.145030i
$624$	10.6188	+	6.76317i	0.425091	+	0.270744i
$625$	4.25744	−	29.6111i	0.170298	−	1.18445i
$626$	9.53500	−	32.1840i	0.381095	−	1.28633i
$627$	−9.57092	−	11.8309i	−0.382226	−	0.472482i
$628$	−33.8444	−	26.8825i	−1.35054	−	1.07273i
$629$	14.2313	+	0.677922i	0.567440	+	0.0270305i
$630$	5.88615	+	0.695688i	0.234510	+	0.0277169i
$631$	−17.4807	+	6.05014i	−0.695897	+	0.240852i	−0.652039	−	0.758185i	$-0.726086\pi$
$631$	−17.4807	+	6.05014i	−0.695897	+	0.240852i	−0.0438581	+	0.999038i	$0.513965\pi$
$632$	21.1068	+	20.4207i	0.839582	+	0.812292i
$633$	16.9421	−	15.0944i	0.673386	−	0.599949i
$634$	−22.7452	−	2.22763i	−0.903328	−	0.0884703i
$635$	−26.4393	+	10.5847i	−1.04921	+	0.420040i
$636$	−0.973030	−	9.30999i	−0.0385831	−	0.369165i
$637$	−2.86710	−	11.8183i	−0.113598	−	0.468259i
$638$	9.74555	−	4.99428i	0.385830	−	0.197725i
$639$	23.9592	+	26.1566i	0.947811	+	1.03474i
$640$	3.57589	+	28.2729i	0.141350	+	1.11758i
$641$	15.0548	−	8.69192i	0.594631	−	0.343310i	−0.172296	−	0.985045i	$-0.555118\pi$
$641$	15.0548	−	8.69192i	0.594631	−	0.343310i	0.766926	+	0.641735i	$0.221785\pi$
$642$	1.19137	+	11.1376i	0.0470198	+	0.439565i
$643$	38.4950	−	17.5801i	1.51809	−	0.693291i	0.530122	−	0.847921i	$-0.322146\pi$
$643$	38.4950	−	17.5801i	1.51809	−	0.693291i	0.987972	+	0.154631i	$0.0494187\pi$
$644$	−4.01179	+	0.556946i	−0.158087	+	0.0219467i
$645$	−11.2942	+	4.70324i	−0.444707	+	0.185190i
$646$	−4.33265	+	8.35432i	−0.170466	+	0.328696i
$647$	35.1102	+	14.0560i	1.38032	+	0.552599i	0.938742	−	0.344622i	$-0.111993\pi$
$647$	35.1102	+	14.0560i	1.38032	+	0.552599i	0.441583	+	0.897220i	$0.354417\pi$
$648$	−10.5813	−	23.1525i	−0.415672	−	0.909515i
$649$	−19.3951	+	27.2367i	−0.761326	+	1.06913i
$650$	2.37889	+	2.50706i	0.0933076	+	0.0983350i
$651$	−2.60278	−	5.49738i	−0.102011	−	0.215459i
$652$	43.0804	−	10.2300i	1.68716	−	0.400638i
$653$	2.00068	+	3.88078i	0.0782927	+	0.151867i	0.924732	−	0.380618i	$-0.124289\pi$
$653$	2.00068	+	3.88078i	0.0782927	+	0.151867i	−0.846440	+	0.532485i	$0.821258\pi$
$654$	0.602733	+	1.45734i	0.0235687	+	0.0569863i
$655$	8.78204	−	29.9089i	0.343143	−	1.16864i
$656$	31.4745	+	22.8766i	1.22887	+	0.893183i
$657$	3.27547	+	1.57584i	0.127788	+	0.0614795i
$658$	0.503671	−	2.05439i	0.0196351	−	0.0800883i
$659$	−12.3279	+	1.17717i	−0.480226	+	0.0458560i	−0.332362	−	0.943152i	$-0.607846\pi$
$659$	−12.3279	+	1.17717i	−0.480226	+	0.0458560i	−0.147863	+	0.989008i	$0.547240\pi$
$660$	−22.5501	−	23.2306i	−0.877761	−	0.904249i
$661$	1.32013	−	0.387624i	0.0513470	−	0.0150768i	−0.255958	−	0.966688i	$-0.582391\pi$
$661$	1.32013	−	0.387624i	0.0513470	−	0.0150768i	0.307305	+	0.951611i	$0.400573\pi$
$662$	8.64046	−	12.0717i	0.335821	−	0.469181i
$663$	4.16109	+	7.80520i	0.161603	+	0.303129i
$664$	−3.76930	−	20.3534i	−0.146277	−	0.789864i
$665$	3.00915	+	1.37423i	0.116690	+	0.0532904i
$666$	−18.3511	+	11.2197i	−0.711091	+	0.434755i
$667$	−7.54273	+	1.08448i	−0.292056	+	0.0419913i
$668$	−0.0606751	+	1.15567i	−0.00234759	+	0.0447141i
$669$	32.6908	+	10.8119i	1.26390	+	0.418013i
$670$	29.1420	+	0.977094i	1.12585	+	0.0377484i
$671$	−46.3021			−1.78747
$672$	5.41040	+	0.507594i	0.208711	+	0.0195809i
$673$	−0.721875	−	5.02075i	−0.0278262	−	0.193536i	0.971167	−	0.238401i	$-0.0766232\pi$
$673$	−0.721875	−	5.02075i	−0.0278262	−	0.193536i	−0.998993	+	0.0448653i	$0.985714\pi$
$674$	9.78438	−	24.2693i	0.376880	−	0.934820i
$675$	−1.27975	−	6.86989i	−0.0492575	−	0.264422i
$676$	−19.3168	+	1.74995i	−0.742953	+	0.0673057i
$677$	11.5172	−	12.0789i	0.442642	−	0.464230i	−0.464181	−	0.885740i	$-0.653651\pi$
$677$	11.5172	−	12.0789i	0.442642	−	0.464230i	0.906824	+	0.421510i	$0.138500\pi$
$678$	8.50914	+	11.6665i	0.326791	+	0.448050i
$679$	−0.770158	−	2.62292i	−0.0295559	−	0.100658i
$680$	−7.57654	+	18.5330i	−0.290547	+	0.710709i
$681$	10.2818	−	45.0870i	0.393998	−	1.72774i
$682$	−7.91110	+	32.2680i	−0.302932	+	1.23560i
$683$	−4.90398	+	0.945165i	−0.187646	+	0.0361657i	−0.282208	−	0.959353i	$-0.591067\pi$
$683$	−4.90398	+	0.945165i	−0.187646	+	0.0361657i	0.0945625	+	0.995519i	$0.469855\pi$
$684$	−1.67159	−	14.1089i	−0.0639148	−	0.539469i
$685$	15.2337	+	4.47302i	0.582050	+	0.170905i
$686$	−7.01327	−	8.13355i	−0.267768	−	0.310540i
$687$	0.733394	+	4.64517i	0.0279807	+	0.177224i
$688$	−10.2479	+	4.56035i	−0.390698	+	0.173862i
$689$	−3.38851	−	3.55377i	−0.129092	−	0.135388i
$690$	9.59119	+	20.3855i	0.365130	+	0.776063i
$691$	−36.9599	−	26.3190i	−1.40602	−	1.00122i	−0.996019	−	0.0891386i	$-0.971589\pi$
$691$	−36.9599	−	26.3190i	−1.40602	−	1.00122i	−0.410002	−	0.912085i	$-0.634472\pi$
$692$	−34.8577	+	1.49093i	−1.32509	+	0.0566765i
$693$	−5.25925	+	3.23302i	−0.199782	+	0.122812i
$694$	15.4521	−	29.7951i	0.586553	−	1.13101i
$695$	2.00361	+	2.31229i	0.0760011	+	0.0877100i
$696$	10.1838	+	0.905579i	0.386016	+	0.0343259i
$697$	11.3562	+	24.8666i	0.430147	+	0.941890i
$698$	−32.8322	+	14.8978i	−1.24272	+	0.563889i
$699$	8.87731	+	42.8697i	0.335771	+	1.62148i
$700$	1.40734	+	0.494748i	0.0531925	+	0.0186997i
$701$	−7.77199	+	40.3249i	−0.293544	+	1.52305i	0.473117	+	0.881000i	$0.343129\pi$
$701$	−7.77199	+	40.3249i	−0.293544	+	1.52305i	−0.766661	+	0.642052i	$0.778083\pi$
$702$	−11.8155	−	6.22133i	−0.445948	−	0.234809i
$703$	−11.6665	+	2.83026i	−0.440010	+	0.106745i
$704$	−21.1818	−	20.7941i	−0.798320	−	0.783706i
$705$	−11.7435	+	0.721851i	−0.442286	+	0.0271865i
$706$	0.839065	+	0.0821765i	0.0315786	+	0.00309275i
$707$	−0.785466	+	1.36047i	−0.0295405	+	0.0511656i
$708$	−28.8766	+	11.8609i	−1.08525	+	0.445761i
$709$	−14.2607	−	41.2035i	−0.535571	−	1.54743i	−0.810364	−	0.585927i	$-0.800730\pi$
$709$	−14.2607	−	41.2035i	−0.535571	−	1.54743i	0.274793	−	0.961504i	$-0.411391\pi$
$710$	20.9710	+	36.5274i	0.787029	+	1.37085i
$711$	−24.0951	−	19.7418i	−0.903637	−	0.740376i
$712$	−25.0051	−	16.3283i	−0.937104	−	0.611927i
$713$	12.4992	−	19.4492i	0.468100	−	0.728379i
$714$	3.13492	+	2.17910i	0.117321	+	0.0815509i
$715$	−16.8102	−	2.41695i	−0.628667	−	0.0903887i
$716$	−10.0854	+	21.8032i	−0.376909	+	0.814824i
$717$	9.70997	+	26.8512i	0.362625	+	1.00278i
$718$	−18.8699	−	16.4312i	−0.704219	−	0.613208i
$719$	−1.75669	−	36.8774i	−0.0655134	−	1.37530i	−0.757240	−	0.653137i	$-0.773453\pi$
$719$	−1.75669	−	36.8774i	−0.0655134	−	1.37530i	0.691727	−	0.722160i	$-0.256850\pi$
$720$	−6.25001	−	29.5736i	−0.232924	−	1.10214i
$721$	−0.480215	−	0.674367i	−0.0178841	−	0.0251147i
$722$	−3.62962	+	18.5894i	−0.135080	+	0.691824i
$723$	−7.48294	−	29.0882i	−0.278294	−	1.08180i
$724$	−40.9256	+	16.1541i	−1.52099	+	0.600362i
$725$	2.65230	+	0.917970i	0.0985039	+	0.0340925i
$726$	6.71834	+	0.888151i	0.249341	+	0.0329624i
$727$	5.35008	−	6.80318i	0.198424	−	0.252316i	−0.676651	−	0.736304i	$-0.736570\pi$
$727$	5.35008	−	6.80318i	0.198424	−	0.252316i	0.875075	+	0.483987i	$0.160812\pi$
$728$	2.40922	−	1.52364i	0.0892918	−	0.0564699i
$729$	13.2077	+	23.5490i	0.489176	+	0.872185i
$730$	3.38618	+	2.67625i	0.125328	+	0.0990523i
$731$	−7.84489	−	0.749097i	−0.290154	−	0.0277063i
$732$	−36.5741	−	23.0456i	−1.35182	−	0.851788i
$733$	−9.25419	−	4.77087i	−0.341811	−	0.176216i	0.278770	−	0.960358i	$-0.410073\pi$
$733$	−9.25419	−	4.77087i	−0.341811	−	0.176216i	−0.620582	+	0.784142i	$0.713103\pi$
$734$	−3.16542	−	13.1876i	−0.116838	−	0.486765i
$735$	−15.4454	+	24.7783i	−0.569712	+	0.913960i
$736$	9.24133	+	18.4727i	0.340640	+	0.680912i
$737$	−24.4448	+	18.0226i	−0.900436	+	0.663872i
$738$	−35.2690	−	21.4321i	−1.29827	−	0.788926i
$739$	50.9440	+	12.3589i	1.87400	+	0.454629i	0.999536	−	0.0304546i	$-0.00969550\pi$
$739$	50.9440	+	12.3589i	1.87400	+	0.454629i	0.874468	+	0.485083i	$0.161211\pi$
$740$	−24.1760	+	8.23621i	−0.888728	+	0.302769i
$741$	−5.21696	−	5.32245i	−0.191650	−	0.195525i
$742$	−2.00122	−	0.698073i	−0.0734672	−	0.0256271i
$743$	−38.0389	−	3.63227i	−1.39551	−	0.133255i	−0.629959	−	0.776628i	$-0.716928\pi$
$743$	−38.0389	−	3.63227i	−1.39551	−	0.133255i	−0.765553	+	0.643373i	$0.777534\pi$
$744$	−22.3095	+	21.5510i	−0.817905	+	0.790099i
$745$	−18.6128	+	21.4803i	−0.681920	+	0.786978i
$746$	3.46530	+	8.71717i	0.126874	+	0.319158i
$747$	5.76255	+	21.1853i	0.210841	+	0.775131i
$748$	−5.77811	−	20.0377i	−0.211268	−	0.732652i
$749$	2.39670	+	0.829508i	0.0875737	+	0.0303095i
$750$	−0.817028	+	22.5375i	−0.0298336	+	0.822953i
$751$	−14.9414	−	23.2493i	−0.545221	−	0.848380i	0.453868	−	0.891069i	$-0.350044\pi$
$751$	−14.9414	−	23.2493i	−0.545221	−	0.848380i	−0.999088	+	0.0426890i	$0.986408\pi$
$752$	−10.7477	+	0.921082i	−0.391929	+	0.0335884i
$753$	−35.9222	+	11.0880i	−1.30908	+	0.404071i
$754$	4.51882	−	2.88859i	0.164566	−	0.105196i
$755$	−1.12554	−	23.6279i	−0.0409625	−	0.859908i
$756$	−5.76344	−	0.0638690i	−0.209614	−	0.00232289i
$757$	32.0127	−	25.1751i	1.16352	−	0.915004i	0.166054	−	0.986117i	$-0.446897\pi$
$757$	32.0127	−	25.1751i	1.16352	−	0.915004i	0.997468	+	0.0711124i	$0.0226549\pi$
$758$	−1.67480	+	2.88465i	−0.0608316	+	0.104775i
$759$	−21.0033	−	10.4639i	−0.762373	−	0.379815i
$760$	1.72587	−	16.7819i	0.0626041	−	0.608744i
$761$	9.32832	−	14.5151i	0.338151	−	0.526174i	−0.629982	−	0.776610i	$-0.716938\pi$
$761$	9.32832	−	14.5151i	0.338151	−	0.526174i	0.968133	+	0.250436i	$0.0805740\pi$
$762$	24.4701	−	12.9693i	0.886458	−	0.469827i
$763$	0.356678	+	0.0169907i	0.0129126	+	0.000615104i
$764$	−2.39868	−	3.40332i	−0.0867813	−	0.123128i
$765$	6.38966	−	20.2524i	0.231019	−	0.732226i
$766$	−28.9634	+	20.5190i	−1.04649	+	0.741382i
$767$	−8.18788	+	14.1818i	−0.295647	+	0.512076i
$768$	−6.38193	−	26.9680i	−0.230288	−	0.973123i
$769$	6.65068	−	2.66253i	0.239830	−	0.0960134i	−0.248634	−	0.968597i	$-0.579982\pi$
$769$	6.65068	−	2.66253i	0.239830	−	0.0960134i	0.488464	+	0.872584i	$0.337557\pi$
$770$	−6.93317	+	2.38077i	−0.249854	+	0.0857968i
$771$	0.613531	−	7.51976i	0.0220958	−	0.270818i
$772$	8.35871	−	5.31466i	0.300836	−	0.191279i
$773$	−3.25888	+	16.9087i	−0.117214	+	0.608163i	0.875052	+	0.484029i	$0.160827\pi$
$773$	−3.25888	+	16.9087i	−0.117214	+	0.608163i	−0.992266	+	0.124133i	$0.960385\pi$
$774$	10.4342	−	5.71586i	0.375049	−	0.205452i
$775$	−7.37436	+	4.25759i	−0.264895	+	0.152937i
$776$	−11.4145	+	8.00362i	−0.409757	+	0.287313i
$777$	0.529754	+	4.84128i	0.0190048	+	0.173680i
$778$	−0.363724	−	8.04637i	−0.0130401	−	0.288476i
$779$	−15.0841	−	17.4080i	−0.540445	−	0.623706i
$780$	−12.0755	−	10.2760i	−0.432372	−	0.367939i
$781$	−40.7276	−	16.3049i	−1.45735	−	0.583434i
$782$	−0.725680	+	14.4937i	−0.0259503	+	0.518292i
$783$	−10.8440	−	0.0675274i	−0.387532	−	0.00241323i
$784$	−13.6092	+	23.0521i	−0.486044	+	0.823289i
$785$	37.5648	+	39.3968i	1.34075	+	1.40613i
$786$	−5.39809	+	29.8281i	−0.192544	+	1.06393i
$787$	16.7586	+	32.5072i	0.597381	+	1.15876i	0.972744	+	0.231880i	$0.0744877\pi$
$787$	16.7586	+	32.5072i	0.597381	+	1.15876i	−0.375363	+	0.926878i	$0.622482\pi$
$788$	−7.17121	+	7.44822i	−0.255464	+	0.265332i
$789$	−26.6015	+	38.4685i	−0.947039	+	1.36952i
$790$	−22.7938	−	29.1299i	−0.810968	−	1.03640i
$791$	3.21046	−	0.618766i	0.114151	−	0.0220008i
$792$	24.2071	+	20.1299i	0.860161	+	0.715286i
$793$	−22.5740	+	2.15555i	−0.801626	+	0.0765460i
$794$	23.8521	−	36.9172i	0.846479	−	1.31014i
$795$	−0.398509	+	11.7826i	−0.0141337	+	0.417886i
$796$	12.7208	+	7.42693i	0.450877	+	0.263241i
$797$	−17.9838	+	18.8609i	−0.637020	+	0.668088i	−0.960543	−	0.278133i	$-0.910284\pi$
$797$	−17.9838	+	18.8609i	−0.637020	+	0.668088i	0.323522	+	0.946221i	$0.395133\pi$
$798$	−3.05177	−	1.01754i	−0.108031	−	0.0360206i
$799$	−6.89383	−	3.14831i	−0.243886	−	0.111379i
$800$	0.0923203	−	7.60709i	0.00326402	−	0.268951i
$801$	27.8583	+	15.0753i	0.984324	+	0.532659i
$802$	−4.38169	+	29.9590i	−0.154723	+	1.05789i
$803$	−4.49548			−0.158642
$804$	−28.2793	+	2.06941i	−0.997333	+	0.0729825i
$805$	5.10111			0.179790
$806$	−2.35475	+	16.1001i	−0.0829425	+	0.567103i
$807$	7.01865	−	39.3272i	0.247068	−	1.38438i
$808$	7.85533	+	1.57340i	0.276350	+	0.0553519i
$809$	19.5228	+	8.91575i	0.686384	+	0.313461i	0.727907	−	0.685676i	$-0.240493\pi$
$809$	19.5228	+	8.91575i	0.686384	+	0.313461i	−0.0415223	+	0.999138i	$0.513221\pi$
$810$	9.19034	+	30.7149i	0.322916	+	1.07921i
$811$	20.0546	−	21.0327i	0.704212	−	0.738556i	−0.270328	−	0.962768i	$-0.587132\pi$
$811$	20.0546	−	21.0327i	0.704212	−	0.738556i	0.974540	+	0.224212i	$0.0719808\pi$
$812$	1.16719	−	1.99916i	0.0409604	−	0.0701568i
$813$	−53.3368	−	1.80395i	−1.87060	−	0.0632673i
$814$	14.4365	−	22.3442i	0.505998	−	0.783162i
$815$	−55.5138	+	5.30093i	−1.94456	+	0.185683i
$816$	5.40908	−	18.7038i	0.189356	−	0.654762i
$817$	6.52016	−	1.25666i	0.228112	−	0.0439649i
$818$	−33.7609	−	43.1456i	−1.18042	−	1.50855i
$819$	−2.41357	+	1.82106i	−0.0843369	+	0.0636329i
$820$	−35.3021	−	33.9892i	−1.23280	−	1.18695i
$821$	−25.0047	−	48.5023i	−0.872669	−	1.69274i	−0.707783	−	0.706429i	$-0.750305\pi$
$821$	−25.0047	−	48.5023i	−0.872669	−	1.69274i	−0.164886	−	0.986313i	$-0.552726\pi$
$822$	−15.1926	−	2.74945i	−0.529901	−	0.0958981i
$823$	16.4490	+	17.2513i	0.573378	+	0.601341i	0.945011	−	0.327038i	$-0.106051\pi$
$823$	16.4490	+	17.2513i	0.573378	+	0.601341i	−0.371633	+	0.928380i	$0.621202\pi$
$824$	−2.47395	+	3.42118i	−0.0861840	+	0.119182i
$825$	5.10987	+	6.97034i	0.177903	+	0.242676i
$826$	−0.353463	+	7.05955i	−0.0122985	+	0.245633i
$827$	2.74049	+	1.09713i	0.0952962	+	0.0381509i	0.418821	−	0.908069i	$-0.362444\pi$
$827$	2.74049	+	1.09713i	0.0952962	+	0.0381509i	−0.323525	+	0.946220i	$0.604868\pi$
$828$	−11.3825	−	18.7193i	−0.395569	−	0.650540i
$829$	−1.69645	−	1.95781i	−0.0589202	−	0.0679975i	0.725524	−	0.688196i	$-0.241597\pi$
$829$	−1.69645	−	1.95781i	−0.0589202	−	0.0679975i	−0.784445	+	0.620199i	$0.787052\pi$
$830$	1.17725	+	26.0433i	0.0408630	+	0.903977i
$831$	−41.0585	+	4.49280i	−1.42430	+	0.155853i
$832$	−11.2950	−	9.15178i	−0.391583	−	0.317281i
$833$	−16.2878	+	9.40376i	−0.564338	+	0.325821i
$834$	−2.17651	−	2.02858i	−0.0753662	−	0.0702439i
$835$	0.275835	−	1.43117i	0.00954567	−	0.0495276i
$836$	9.42811	+	14.8282i	0.326078	+	0.512844i
$837$	21.6995	−	24.7297i	0.750045	−	0.854785i
$838$	17.8171	−	6.11818i	0.615482	−	0.211349i
$839$	−35.8966	+	14.3708i	−1.23929	+	0.496136i	−0.896403	−	0.443241i	$-0.853829\pi$
$839$	−35.8966	+	14.3708i	−1.23929	+	0.496136i	−0.342886	+	0.939377i	$0.611404\pi$
$840$	−6.66149	−	1.57022i	−0.229843	−	0.0541776i
$841$	−12.3223	+	21.3428i	−0.424907	+	0.735960i
$842$	1.28601	−	0.911064i	0.0443187	−	0.0313974i
$843$	0.249873	+	18.1175i	0.00860607	+	0.623999i
$844$	−21.4163	+	15.0944i	−0.737181	+	0.519570i
$845$	24.4005	+	1.16234i	0.839402	+	0.0399856i
$846$	11.2805	−	1.91262i	0.387830	−	0.0657573i
$847$	0.829572	−	1.29084i	0.0285044	−	0.0443537i
$848$	−0.104935	+	10.8083i	−0.00360347	+	0.371158i
$849$	22.8978	−	45.9608i	0.785849	−	1.57737i
$850$	2.68368	−	4.62233i	0.0920495	−	0.158545i
$851$	−14.5511	+	11.4431i	−0.498806	+	0.392266i
$852$	−24.0556	−	33.1503i	−0.824130	−	1.13571i
$853$	−0.997437	−	20.9388i	−0.0341516	−	0.716930i	−0.949405	−	0.314053i	$-0.898313\pi$
$853$	−0.997437	−	20.9388i	−0.0341516	−	0.716930i	0.915254	−	0.402878i	$-0.131990\pi$
$854$	−8.24709	+	5.27185i	−0.282210	+	0.180399i
$855$	−0.358174	+	17.8902i	−0.0122493	+	0.611832i
$856$	0.0941750	−	12.9336i	0.00321883	−	0.442061i
$857$	19.8798	+	30.9335i	0.679080	+	1.05667i	0.994193	+	0.107614i	$0.0343212\pi$
$857$	19.8798	+	30.9335i	0.679080	+	1.05667i	−0.315113	+	0.949054i	$0.602042\pi$
$858$	16.5043	+	0.598312i	0.563447	+	0.0204260i
$859$	39.4760	+	13.6628i	1.34690	+	0.466168i	0.902898	−	0.429855i	$-0.141435\pi$
$859$	39.4760	+	13.6628i	1.34690	+	0.466168i	0.444007	+	0.896023i	$0.353557\pi$
$860$	13.5739	−	3.91419i	0.462866	−	0.133473i
$861$	−7.79071	+	5.15997i	−0.265507	+	0.175851i
$862$	−12.6935	−	31.9312i	−0.432342	−	1.08758i
$863$	21.6705	−	25.0091i	0.737674	−	0.851321i	−0.255639	−	0.966772i	$-0.582286\pi$
$863$	21.6705	−	25.0091i	0.737674	−	0.851321i	0.993313	+	0.115451i	$0.0368314\pi$
$864$	9.10214	+	27.9491i	0.309661	+	0.950847i
$865$	43.7427	+	4.17692i	1.48730	+	0.142020i
$866$	−6.98211	−	2.43552i	−0.237262	−	0.0827625i
$867$	−11.2590	+	11.0359i	−0.382377	+	0.374798i
$868$	2.26487	+	6.64815i	0.0768747	+	0.225653i
$869$	37.4395	+	9.08273i	1.27005	+	0.308111i
$870$	−12.5473	−	2.89338i	−0.425394	−	0.0980947i
$871$	−11.0787	+	9.92471i	−0.375388	+	0.336286i
$872$	−0.500308	−	1.75095i	−0.0169426	−	0.0592948i
$873$	11.3665	−	9.45751i	0.384699	−	0.320088i
$874$	−2.85392	−	11.8899i	−0.0965354	−	0.402182i
$875$	4.53872	+	2.33987i	0.153437	+	0.0791021i
$876$	−3.55100	−	2.23750i	−0.119977	−	0.0755982i
$877$	10.9169	+	1.04244i	0.368638	+	0.0352006i	0.277731	−	0.960659i	$-0.410418\pi$
$877$	10.9169	+	1.04244i	0.368638	+	0.0352006i	0.0909063	+	0.995859i	$0.471024\pi$
$878$	45.0463	+	35.6021i	1.52024	+	1.20151i
$879$	25.6482	−	15.2834i	0.865093	−	0.515497i
$880$	22.8228	+	29.6087i	0.769357	+	0.998108i
$881$	30.6719	−	39.0025i	1.03336	−	1.31403i	0.0851580	−	0.996367i	$-0.472860\pi$
$881$	30.6719	−	39.0025i	1.03336	−	1.31403i	0.948205	−	0.317660i	$-0.102897\pi$
$882$	12.3717	−	25.5563i	0.416578	−	0.860527i
$883$	19.0547	+	6.59489i	0.641241	+	0.221936i	0.628289	−	0.777980i	$-0.283756\pi$
$883$	19.0547	+	6.59489i	0.641241	+	0.221936i	0.0129528	+	0.999916i	$0.495877\pi$
$884$	−3.74988	−	9.50015i	−0.126122	−	0.319525i
$885$	38.0772	−	9.79537i	1.27995	−	0.329268i
$886$	3.84289	−	19.6816i	0.129104	−	0.661217i
$887$	12.9754	+	18.2213i	0.435670	+	0.611813i	0.972789	−	0.231694i	$-0.0744268\pi$
$887$	12.9754	+	18.2213i	0.435670	+	0.611813i	−0.537119	+	0.843507i	$0.680487\pi$
$888$	22.5246	−	10.4644i	0.755876	−	0.351161i
$889$	−0.298371	−	6.26358i	−0.0100071	−	0.210074i
$890$	28.3656	+	24.6998i	0.950819	+	0.827938i
$891$	−27.3469	−	19.1636i	−0.916156	−	0.642004i
$892$	−36.0855	−	16.6919i	−1.20823	−	0.558885i
$893$	6.32080	+	0.908794i	0.211518	+	0.0304116i
$894$	15.7755	−	22.6951i	0.527612	−	0.759037i
$895$	16.3574	−	25.4526i	0.546766	−	0.850785i
$896$	−6.14037	−	1.29202i	−0.205135	−	0.0431635i
$897$	−10.7270	−	4.12375i	−0.358166	−	0.137688i
$898$	−13.6745	−	23.8183i	−0.456325	−	0.794827i
$899$	4.32186	+	12.4872i	0.144142	+	0.416471i
$900$	0.567015	+	8.04919i	0.0189005	+	0.268306i
$901$	−3.79697	+	6.57655i	−0.126496	+	0.219097i
$902$	50.7992	+	4.97518i	1.69143	+	0.165655i
$903$	−0.165271	−	2.68873i	−0.00549987	−	0.0894752i
$904$	−8.23157	−	14.5003i	−0.273778	−	0.482273i
$905$	53.8518	−	13.0643i	1.79009	−	0.434272i
$906$	3.53218	+	22.7301i	0.117349	+	0.755157i
$907$	−9.22565	+	47.8672i	−0.306333	+	1.58940i	0.423577	+	0.905860i	$0.360774\pi$
$907$	−9.22565	+	47.8672i	−0.306333	+	1.58940i	−0.729909	+	0.683544i	$0.760438\pi$
$908$	−17.7097	+	50.3763i	−0.587717	+	1.67180i
$909$	−8.44098	−	0.976878i	−0.279970	−	0.0324010i
$910$	−3.26934	+	1.48348i	−0.108378	+	0.0491769i
$911$	−5.84765	−	12.8046i	−0.193741	−	0.424234i	0.787684	−	0.616080i	$-0.211280\pi$
$911$	−5.84765	−	12.8046i	−0.193741	−	0.424234i	−0.981425	+	0.191845i	$0.938553\pi$
$912$	0.0669760	+	16.4054i	0.00221780	+	0.543237i
$913$	−17.7818	−	20.5213i	−0.588492	−	0.679156i
$914$	−4.49916	+	8.67539i	−0.148819	+	0.286956i
$915$	41.6346	+	35.0831i	1.37640	+	1.15981i
$916$	−0.232048	−	5.42526i	−0.00766707	−	0.179255i
$917$	5.59082	+	3.98121i	0.184625	+	0.131471i
$918$	−4.08362	+	20.2435i	−0.134780	+	0.668135i
$919$	15.2019	+	15.9433i	0.501463	+	0.525919i	0.925004	−	0.379958i	$-0.124061\pi$
$919$	15.2019	+	15.9433i	0.501463	+	0.525919i	−0.423541	+	0.905877i	$0.639213\pi$
$920$	−8.32923	−	24.6449i	−0.274607	−	0.812518i
$921$	−39.8025	+	6.28415i	−1.31154	+	0.207070i
$922$	23.8623	+	27.6739i	0.785861	+	0.911393i
$923$	−20.6153	−	6.05319i	−0.678560	−	0.199243i
$924$	6.45763	−	3.01913i	0.212440	−	0.0993222i
$925$	6.69489	−	1.29033i	0.220127	−	0.0424259i
$926$	3.37708	−	13.7745i	0.110978	−	0.452658i
$927$	2.31621	−	3.83251i	0.0760742	−	0.125876i
$928$	−11.5643	−	2.37474i	−0.379618	−	0.0779548i
$929$	9.24801	+	31.4958i	0.303417	+	1.03334i	0.960211	+	0.279275i	$0.0900940\pi$
$929$	9.24801	+	31.4958i	0.303417	+	1.03334i	−0.656794	+	0.754070i	$0.728088\pi$
$930$	31.5631	−	23.0209i	1.03499	−	0.754887i
$931$	10.9358	−	11.4691i	0.358406	−	0.375886i
$932$	−4.56093	−	50.3457i	−0.149398	−	1.64913i
$933$	−13.7118	−	12.7178i	−0.448905	−	0.416364i
$934$	−20.3580	+	50.4964i	−0.666135	+	1.65229i
$935$	3.73787	+	25.9975i	0.122241	+	0.850208i
$936$	12.7390	+	8.68715i	0.416387	+	0.283948i
$937$	10.2783			0.335776			0.167888	−	0.985806i	$-0.446305\pi$
$937$	10.2783			0.335776			0.167888	+	0.985806i	$0.446305\pi$
$938$	−2.30197	+	5.99333i	−0.0751621	+	0.195689i
$939$	12.9090	−	39.0314i	0.421268	−	1.27374i
$940$	13.5671	+	0.712305i	0.442511	+	0.0232328i
$941$	21.8265	−	3.13818i	0.711523	−	0.102302i	0.222957	−	0.974828i	$-0.428429\pi$
$941$	21.8265	−	3.13818i	0.711523	−	0.102302i	0.488566	+	0.872527i	$0.337520\pi$
$942$	−40.3973	−	34.2085i	−1.31622	−	1.11457i
$943$	−32.3090	−	14.7550i	−1.05213	−	0.480490i
$944$	34.6838	−	9.81935i	1.12886	−	0.319593i
$945$	7.17875	+	1.07782i	0.233525	+	0.0350614i
$946$	−8.56414	+	11.9651i	−0.278444	+	0.389019i
$947$	24.3176	−	7.14030i	0.790217	−	0.232029i	0.138371	−	0.990380i	$-0.455813\pi$
$947$	24.3176	−	7.14030i	0.790217	−	0.232029i	0.651845	+	0.758352i	$0.273995\pi$
$948$	25.0529	+	25.8090i	0.813681	+	0.838236i
$949$	−2.19172	+	0.209284i	−0.0711461	+	0.00679363i
$950$	−1.07239	+	4.37407i	−0.0347928	+	0.141914i
$951$	−27.7578	−	3.60099i	−0.900107	−	0.116770i
$952$	−3.31062	−	2.91114i	−0.107298	−	0.0943506i
$953$	−14.2399	+	48.4966i	−0.461275	+	1.57096i	0.320405	+	0.947281i	$0.396181\pi$
$953$	−14.2399	+	48.4966i	−0.461275	+	1.57096i	−0.781680	+	0.623679i	$0.785637\pi$
$954$	−0.833358	−	11.4341i	−0.0269810	−	0.370194i
$955$	2.40292	+	4.66101i	0.0777567	+	0.150827i
$956$	−7.61737	−	32.0781i	−0.246363	−	1.03748i
$957$	12.1219	−	5.73920i	0.391844	−	0.185522i
$958$	16.3811	+	17.2638i	0.529251	+	0.557767i
$959$	−2.02778	+	2.84762i	−0.0654804	+	0.0919543i
$960$	3.29092	+	34.7474i	0.106214	+	1.12147i
$961$	−8.43885	−	3.37841i	−0.272221	−	0.108981i
$962$	5.99810	−	11.5657i	0.193387	−	0.372893i
$963$	1.03041	+	13.6798i	0.0332045	+	0.440824i
$964$	4.76903	+	34.3523i	0.153600	+	1.10641i
$965$	−11.3478	+	5.18236i	−0.365298	+	0.166826i
$966$	−4.93241	+	0.527614i	−0.158698	+	0.0169757i
$967$	32.9107	−	19.0010i	1.05834	−	0.611030i	0.133364	−	0.991067i	$-0.457422\pi$
$967$	32.9107	−	19.0010i	1.05834	−	0.611030i	0.924971	+	0.380037i	$0.124089\pi$
$968$	−7.59095	−	1.90017i	−0.243982	−	0.0610739i
$969$	−5.62482	+	10.0604i	−0.180695	+	0.323186i
$970$	15.6255	−	8.00758i	0.501706	−	0.257108i
$971$	2.12859	+	8.77418i	0.0683098	+	0.281577i	0.995714	−	0.0924834i	$-0.0294805\pi$
$971$	2.12859	+	8.77418i	0.0683098	+	0.281577i	−0.927404	+	0.374060i	$0.877965\pi$
$972$	−12.0633	−	28.7485i	−0.386930	−	0.922109i
$973$	−0.625417	+	0.250379i	−0.0200499	+	0.00802678i
$974$	20.5096	+	2.00868i	0.657171	+	0.0643622i
$975$	2.81575	+	3.16041i	0.0901762	+	0.101214i
$976$	38.9358	+	31.2360i	1.24631	+	0.999840i
$977$	−14.1134	+	4.88468i	−0.451526	+	0.156275i	−0.543360	−	0.839500i	$-0.682848\pi$
$977$	−14.1134	+	4.88468i	−0.451526	+	0.156275i	0.0918340	+	0.995774i	$0.470727\pi$
$978$	53.1296	−	10.8675i	1.69890	−	0.347503i
$979$	−39.1314	−	1.86406i	−1.25065	−	0.0595756i
$980$	20.9696	−	26.4003i	0.669849	−	0.843325i
$981$	0.681827	+	1.80715i	0.0217691	+	0.0576978i
$982$	−6.85613	+	23.1419i	−0.218788	+	0.738488i
$983$	0.516119	−	3.58969i	0.0164617	−	0.114493i	−0.979934	−	0.199323i	$-0.936126\pi$
$983$	0.516119	−	3.58969i	0.0164617	−	0.114493i	0.996395	+	0.0848300i	$0.0270347\pi$
$984$	37.6502	+	29.2138i	1.20024	+	0.931301i
$985$	10.2359	−	8.04960i	0.326143	−	0.256482i
$986$	−6.25521	−	5.44681i	−0.199206	−	0.173462i
$987$	0.695512	−	2.49550i	0.0221384	−	0.0794328i
$988$	5.28687	+	6.79038i	0.168198	+	0.216031i
$989$	8.34059	−	5.93931i	0.265215	−	0.188859i
$990$	−26.7118	−	29.3041i	−0.848956	−	0.931345i
$991$	−9.78861	−	15.2314i	−0.310945	−	0.483841i	0.650246	−	0.759724i	$-0.274666\pi$
$991$	−9.78861	−	15.2314i	−0.310945	−	0.483841i	−0.961191	+	0.275883i	$0.911030\pi$
$992$	28.4209	−	21.7975i	0.902365	−	0.692071i
$993$	11.0411	−	14.4455i	0.350377	−	0.458413i
$994$	−9.11063	+	1.73301i	−0.288972	+	0.0549676i
$995$	−14.5828	−	11.4680i	−0.462306	−	0.363561i
$996$	−3.83201	−	25.0603i	−0.121422	−	0.794064i
$997$	−17.9704	+	20.7390i	−0.569130	+	0.656811i	−0.965232	−	0.261396i	$-0.915817\pi$
$997$	−17.9704	+	20.7390i	−0.569130	+	0.656811i	0.396102	+	0.918206i	$0.370363\pi$
$998$	13.4281	+	10.6128i	0.425059	+	0.335943i
$999$	−22.8955	+	13.0293i	−0.724382	+	0.412229i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.bd.a.35.5	yes	2640
3.2	odd	2	inner	804.2.bd.a.35.128	yes	2640
4.3	odd	2	inner	804.2.bd.a.35.13	yes	2640
12.11	even	2	inner	804.2.bd.a.35.120	yes	2640
67.23	even	33	inner	804.2.bd.a.23.120	yes	2640
201.23	odd	66	inner	804.2.bd.a.23.13	yes	2640
268.23	odd	66	inner	804.2.bd.a.23.128	yes	2640
804.23	even	66	inner	804.2.bd.a.23.5	✓	2640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.bd.a.23.5	✓	2640	804.23	even	66	inner
804.2.bd.a.23.13	yes	2640	201.23	odd	66	inner
804.2.bd.a.23.120	yes	2640	67.23	even	33	inner
804.2.bd.a.23.128	yes	2640	268.23	odd	66	inner
804.2.bd.a.35.5	yes	2640	1.1	even	1	trivial
804.2.bd.a.35.13	yes	2640	4.3	odd	2	inner
804.2.bd.a.35.120	yes	2640	12.11	even	2	inner
804.2.bd.a.35.128	yes	2640	3.2	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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.bd (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39933 - 0.204660i) q^{2} +(-1.70511 - 0.304307i) q^{3} +(1.91623 + 0.572774i) q^{4} +(-2.29127 - 1.04639i) q^{5} +(2.32372 + 0.774794i) q^{6} +(0.382733 - 0.401398i) q^{7} +(-2.56420 - 1.19367i) q^{8} +(2.81479 + 1.03775i) q^{9} +O(q^{10})\)	\(q+(-1.39933 - 0.204660i) q^{2} +(-1.70511 - 0.304307i) q^{3} +(1.91623 + 0.572774i) q^{4} +(-2.29127 - 1.04639i) q^{5} +(2.32372 + 0.774794i) q^{6} +(0.382733 - 0.401398i) q^{7} +(-2.56420 - 1.19367i) q^{8} +(2.81479 + 1.03775i) q^{9} +(2.99208 + 1.93317i) q^{10} +(-3.69354 + 0.352690i) q^{11} +(-3.09308 - 1.55976i) q^{12} +(-1.78432 + 0.343899i) q^{13} +(-0.617718 + 0.483357i) q^{14} +(3.58844 + 2.48146i) q^{15} +(3.34386 + 2.19513i) q^{16} +(1.28775 + 2.49788i) q^{17} +(-3.72643 - 2.02823i) q^{18} +(-1.63406 - 1.71376i) q^{19} +(-3.79126 - 3.31750i) q^{20} +(-0.774749 + 0.567960i) q^{21} +(5.24065 + 0.262393i) q^{22} +(-3.38982 - 1.35708i) q^{23} +(4.00900 + 2.81565i) q^{24} +(0.880693 + 1.01637i) q^{25} +(2.56723 - 0.116048i) q^{26} +(-4.48373 - 2.62605i) q^{27} +(0.963313 - 0.549952i) q^{28} +(1.80736 - 1.04348i) q^{29} +(-4.51355 - 4.20678i) q^{30} +(-1.19828 + 6.21724i) q^{31} +(-4.22990 - 3.75606i) q^{32} +(6.40521 + 0.522596i) q^{33} +(-1.29076 - 3.75890i) q^{34} +(-1.29696 + 0.519226i) q^{35} +(4.79939 + 3.60081i) q^{36} +(2.53488 - 4.39054i) q^{37} +(1.93585 + 2.73253i) q^{38} +(3.14711 - 0.0434043i) q^{39} +(4.62624 + 5.41818i) q^{40} +(9.71647 + 0.462853i) q^{41} +(1.20037 - 0.636200i) q^{42} +(-1.51606 + 2.35904i) q^{43} +(-7.27967 - 1.43973i) q^{44} +(-5.36356 - 5.32315i) q^{45} +(4.46573 + 2.59276i) q^{46} +(-2.11981 + 1.66704i) q^{47} +(-5.03365 - 4.76050i) q^{48} +(0.318437 + 6.68481i) q^{49} +(-1.02437 - 1.60248i) q^{50} +(-1.43562 - 4.65102i) q^{51} +(-3.61614 - 0.363021i) q^{52} +(1.46092 + 2.27324i) q^{53} +(5.73676 + 4.59234i) q^{54} +(8.83195 + 3.05677i) q^{55} +(-1.46054 + 0.572410i) q^{56} +(2.26475 + 3.41940i) q^{57} +(-2.74265 + 1.09028i) q^{58} +(5.90144 - 6.81062i) q^{59} +(5.45496 + 6.81041i) q^{60} +(12.4227 + 1.18622i) q^{61} +(2.94920 - 8.45471i) q^{62} +(1.49387 - 0.732671i) q^{63} +(5.15029 + 6.12164i) q^{64} +(4.44821 + 1.07912i) q^{65} +(-8.85603 - 2.04218i) q^{66} +(7.02019 - 4.20915i) q^{67} +(1.03690 + 5.52409i) q^{68} +(5.36705 + 3.34552i) q^{69} +(1.92114 - 0.461129i) q^{70} +(10.5094 + 5.41795i) q^{71} +(-5.97897 - 6.02096i) q^{72} +(1.20612 + 0.115171i) q^{73} +(-4.44570 + 5.62501i) q^{74} +(-1.19239 - 2.00103i) q^{75} +(-2.14964 - 4.21990i) q^{76} +(-1.27207 + 1.61757i) q^{77} +(-4.41272 - 0.583352i) q^{78} +(-9.81221 - 3.39604i) q^{79} +(-5.36473 - 8.52862i) q^{80} +(6.84613 + 5.84213i) q^{81} +(-13.5018 - 2.63626i) q^{82} +(4.24506 + 5.96136i) q^{83} +(-1.80991 + 0.644584i) q^{84} +(-0.336824 - 7.07080i) q^{85} +(2.60427 - 2.99079i) q^{86} +(-3.39929 + 1.22926i) q^{87} +(9.89198 + 3.50451i) q^{88} +(10.4511 + 1.50264i) q^{89} +(6.41594 + 8.54653i) q^{90} +(-0.544876 + 0.847844i) q^{91} +(-5.71838 - 4.54208i) q^{92} +(3.93514 - 10.2364i) q^{93} +(3.30748 - 1.89889i) q^{94} +(1.95083 + 5.63655i) q^{95} +(6.06944 + 7.69168i) q^{96} +(2.46443 - 4.26851i) q^{97} +(0.922520 - 9.41941i) q^{98} +(-10.7626 - 2.84024i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Introduction

L-functions

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