LMFDB - Embedded newform 525.2.bs.a.2.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(2,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([30, 3, 20]))

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

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

chi := DirichletCharacter("525.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bs (of order $60$, degree $16$, 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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$1216$
Relative dimension:	$76$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			2.11
Character	$\chi$	$=$	525.2
Dual form			525.2.bs.a.263.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.63394 - 1.32314i) q^{2} +(0.407314 + 1.68348i) q^{3} +(0.503241 + 2.36756i) q^{4} +(-1.47395 + 1.68151i) q^{5} +(1.56195 - 3.28963i) q^{6} +(2.44053 + 1.02168i) q^{7} +(0.401327 - 0.787649i) q^{8} +(-2.66819 + 1.37141i) q^{9} +O(q^{10})$	\(q+(-1.63394 - 1.32314i) q^{2} +(0.407314 + 1.68348i) q^{3} +(0.503241 + 2.36756i) q^{4} +(-1.47395 + 1.68151i) q^{5} +(1.56195 - 3.28963i) q^{6} +(2.44053 + 1.02168i) q^{7} +(0.401327 - 0.787649i) q^{8} +(-2.66819 + 1.37141i) q^{9} +(4.63321 - 0.797245i) q^{10} +(-1.76990 + 3.97525i) q^{11} +(-3.78076 + 1.81153i) q^{12} +(-2.62547 + 0.415834i) q^{13} +(-2.63586 - 4.89851i) q^{14} +(-3.43114 - 1.79646i) q^{15} +(2.72448 - 1.21302i) q^{16} +(-0.355998 - 6.79284i) q^{17} +(6.17422 + 1.28959i) q^{18} +(-0.112254 + 0.528115i) q^{19} +(-4.72283 - 2.64346i) q^{20} +(-0.725910 + 4.52472i) q^{21} +(8.15171 - 4.15350i) q^{22} +(-0.853359 + 1.05381i) q^{23} +(1.48946 + 0.354805i) q^{24} +(-0.654944 - 4.95692i) q^{25} +(4.84007 + 2.79441i) q^{26} +(-3.39552 - 3.93325i) q^{27} +(-1.19071 + 6.29225i) q^{28} +(1.39690 - 4.29921i) q^{29} +(3.22932 + 7.47518i) q^{30} +(-3.30200 + 3.66724i) q^{31} +(-7.76437 - 2.08046i) q^{32} +(-7.41315 - 1.36040i) q^{33} +(-8.40619 + 11.5701i) q^{34} +(-5.31517 + 2.59787i) q^{35} +(-4.58963 - 5.62696i) q^{36} +(-4.21712 - 1.61880i) q^{37} +(0.882187 - 0.714381i) q^{38} +(-1.76944 - 4.25055i) q^{39} +(0.732903 + 1.83579i) q^{40} +(-3.12063 + 4.29518i) q^{41} +(7.17292 - 6.43263i) q^{42} +(-0.600760 + 0.600760i) q^{43} +(-10.3023 - 2.18983i) q^{44} +(1.62675 - 6.50797i) q^{45} +(2.78867 - 0.592751i) q^{46} +(4.11531 + 0.215674i) q^{47} +(3.15180 + 4.09252i) q^{48} +(4.91235 + 4.98686i) q^{49} +(-5.48855 + 8.96589i) q^{50} +(11.2906 - 3.36613i) q^{51} +(-2.30576 - 6.00670i) q^{52} +(-4.81123 - 3.12445i) q^{53} +(0.343853 + 10.9194i) q^{54} +(-4.07568 - 8.83542i) q^{55} +(1.78417 - 1.51225i) q^{56} +(-0.934793 + 0.0261310i) q^{57} +(-7.97090 + 5.17636i) q^{58} +(-1.59969 + 15.2201i) q^{59} +(2.52654 - 9.02749i) q^{60} +(0.149168 + 1.41923i) q^{61} +(10.2475 - 1.62305i) q^{62} +(-7.91293 + 0.620927i) q^{63} +(6.42787 + 8.84720i) q^{64} +(3.17058 - 5.02767i) q^{65} +(10.3126 + 12.0314i) q^{66} +(-11.9236 + 0.624891i) q^{67} +(15.9033 - 4.26128i) q^{68} +(-2.12165 - 1.00738i) q^{69} +(12.1220 + 2.78795i) q^{70} +(5.12625 + 1.66562i) q^{71} +(0.00936974 + 2.65198i) q^{72} +(7.37253 - 2.83005i) q^{73} +(4.74862 + 8.22486i) q^{74} +(8.07809 - 3.12160i) q^{75} -1.30684 q^{76} +(-8.38090 + 7.89345i) q^{77} +(-2.73291 + 9.28635i) q^{78} +(-8.50574 + 7.65861i) q^{79} +(-1.97605 + 6.36915i) q^{80} +(5.23849 - 7.31835i) q^{81} +(10.7820 - 2.88904i) q^{82} +(0.925049 - 1.81551i) q^{83} +(-11.0778 + 0.558386i) q^{84} +(11.9469 + 9.41369i) q^{85} +(1.77649 - 0.186717i) q^{86} +(7.80660 + 0.600518i) q^{87} +(2.42080 + 2.98943i) q^{88} +(0.672733 + 6.40063i) q^{89} +(-11.2690 + 8.48122i) q^{90} +(-6.83238 - 1.66753i) q^{91} +(-2.92441 - 1.49006i) q^{92} +(-7.51867 - 4.06512i) q^{93} +(-6.43881 - 5.79753i) q^{94} +(-0.722573 - 0.967172i) q^{95} +(0.339866 - 13.9185i) q^{96} +(-2.58747 + 1.31838i) q^{97} +(-1.42818 - 14.6480i) q^{98} +(-0.729267 - 13.0340i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9}+O(q^{10}) $ 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9	$ 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9} - 12 q^{10} - 64 q^{13} - 44 q^{15} - 140 q^{16} - 24 q^{18} - 20 q^{19} - 12 q^{21} + 8 q^{22} - 24 q^{25} - 80 q^{27} - 40 q^{28} - 50 q^{30} - 12 q^{31} - 6 q^{33} - 80 q^{34} + 8 q^{36} - 24 q^{37} - 50 q^{39} - 4 q^{40} - 34 q^{42} - 96 q^{43} + 30 q^{45} - 12 q^{46} - 44 q^{48} - 16 q^{51} - 136 q^{52} - 10 q^{54} - 40 q^{55} - 112 q^{57} - 76 q^{58} - 60 q^{60} - 12 q^{61} - 14 q^{63} - 80 q^{64} - 30 q^{66} - 32 q^{67} + 100 q^{69} - 100 q^{70} + 24 q^{72} - 72 q^{73} - 96 q^{75} - 64 q^{76} + 20 q^{78} - 20 q^{79} - 6 q^{81} - 204 q^{82} + 100 q^{84} - 56 q^{85} + 36 q^{87} - 140 q^{88} + 164 q^{90} - 24 q^{91} + 34 q^{93} - 20 q^{94} - 30 q^{96} - 240 q^{97}+O(q^{100}) $ 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9 - 12 * q^10 - 64 * q^13 - 44 * q^15 - 140 * q^16 - 24 * q^18 - 20 * q^19 - 12 * q^21 + 8 * q^22 - 24 * q^25 - 80 * q^27 - 40 * q^28 - 50 * q^30 - 12 * q^31 - 6 * q^33 - 80 * q^34 + 8 * q^36 - 24 * q^37 - 50 * q^39 - 4 * q^40 - 34 * q^42 - 96 * q^43 + 30 * q^45 - 12 * q^46 - 44 * q^48 - 16 * q^51 - 136 * q^52 - 10 * q^54 - 40 * q^55 - 112 * q^57 - 76 * q^58 - 60 * q^60 - 12 * q^61 - 14 * q^63 - 80 * q^64 - 30 * q^66 - 32 * q^67 + 100 * q^69 - 100 * q^70 + 24 * q^72 - 72 * q^73 - 96 * q^75 - 64 * q^76 + 20 * q^78 - 20 * q^79 - 6 * q^81 - 204 * q^82 + 100 * q^84 - 56 * q^85 + 36 * q^87 - 140 * q^88 + 164 * q^90 - 24 * q^91 + 34 * q^93 - 20 * q^94 - 30 * q^96 - 240 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{1}{20}\right)$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−1.63394	−	1.32314i	−1.15537	−	0.935600i	−0.156725	−	0.987642i	$-0.550094\pi$
$2$	−1.63394	−	1.32314i	−1.15537	−	0.935600i	−0.998645	+	0.0520422i	$0.983427\pi$
$3$	0.407314	+	1.68348i	0.235163	+	0.971956i
$3$	0.407314	+	1.68348i	0.235163	+	0.971956i
$4$	0.503241	+	2.36756i	0.251620	+	1.18378i
$5$	−1.47395	+	1.68151i	−0.659170	+	0.751994i
$5$	−1.47395	+	1.68151i	−0.659170	+	0.751994i
$6$	1.56195	−	3.28963i	0.637662	−	1.34299i
$7$	2.44053	+	1.02168i	0.922433	+	0.386158i
$7$	2.44053	+	1.02168i	0.922433	+	0.386158i
$8$	0.401327	−	0.787649i	0.141891	−	0.278476i
$9$	−2.66819	+	1.37141i	−0.889397	+	0.457136i
$10$	4.63321	−	0.797245i	1.46515	−	0.252111i
$11$	−1.76990	+	3.97525i	−0.533644	+	1.19858i	0.422681	+	0.906278i	$0.361089\pi$
$11$	−1.76990	+	3.97525i	−0.533644	+	1.19858i	−0.956325	+	0.292305i	$0.905578\pi$
$12$	−3.78076	+	1.81153i	−1.09141	+	0.522945i
$13$	−2.62547	+	0.415834i	−0.728175	+	0.115332i	−0.509505	−	0.860467i	$-0.670172\pi$
$13$	−2.62547	+	0.415834i	−0.728175	+	0.115332i	−0.218669	+	0.975799i	$0.570172\pi$
$14$	−2.63586	−	4.89851i	−0.704462	−	1.30918i
$15$	−3.43114	−	1.79646i	−0.885917	−	0.463844i
$16$	2.72448	−	1.21302i	0.681119	−	0.303254i
$17$	−0.355998	−	6.79284i	−0.0863421	−	1.64751i	−0.607699	−	0.794167i	$-0.707907\pi$
$17$	−0.355998	−	6.79284i	−0.0863421	−	1.64751i	0.521357	−	0.853338i	$-0.325426\pi$
$18$	6.17422	+	1.28959i	1.45528	+	0.303959i
$19$	−0.112254	+	0.528115i	−0.0257529	+	0.121158i	−0.989146	−	0.146934i	$-0.953060\pi$
$19$	−0.112254	+	0.528115i	−0.0257529	+	0.121158i	0.963393	+	0.268092i	$0.0863930\pi$
$20$	−4.72283	−	2.64346i	−1.05606	−	0.591096i
$21$	−0.725910	+	4.52472i	−0.158406	+	0.987374i
$22$	8.15171	−	4.15350i	1.73795	−	0.885530i
$23$	−0.853359	+	1.05381i	−0.177938	+	0.219735i	−0.858309	−	0.513132i	$-0.828485\pi$
$23$	−0.853359	+	1.05381i	−0.177938	+	0.219735i	0.680372	+	0.732867i	$0.261818\pi$
$24$	1.48946	+	0.354805i	0.304034	+	0.0724242i
$25$	−0.654944	−	4.95692i	−0.130989	−	0.991384i
$26$	4.84007	+	2.79441i	0.949215	+	0.548030i
$27$	−3.39552	−	3.93325i	−0.653469	−	0.756953i
$28$	−1.19071	+	6.29225i	−0.225023	+	1.18912i
$29$	1.39690	−	4.29921i	0.259397	−	0.798343i	−0.733534	−	0.679653i	$-0.762130\pi$
$29$	1.39690	−	4.29921i	0.259397	−	0.798343i	0.992931	−	0.118690i	$-0.0378696\pi$
$30$	3.22932	+	7.47518i	0.589590	+	1.36478i
$31$	−3.30200	+	3.66724i	−0.593057	+	0.658656i	−0.962717	−	0.270511i	$-0.912807\pi$
$31$	−3.30200	+	3.66724i	−0.593057	+	0.658656i	0.369660	+	0.929167i	$0.379474\pi$
$32$	−7.76437	−	2.08046i	−1.37256	−	0.367776i
$33$	−7.41315	−	1.36040i	−1.29046	−	0.236816i
$34$	−8.40619	+	11.5701i	−1.44165	+	1.98426i
$35$	−5.31517	+	2.59787i	−0.898428	+	0.439120i
$36$	−4.58963	−	5.62696i	−0.764939	−	0.937826i
$37$	−4.21712	−	1.61880i	−0.693291	−	0.266129i	−0.0138971	−	0.999903i	$-0.504424\pi$
$37$	−4.21712	−	1.61880i	−0.693291	−	0.266129i	−0.679394	+	0.733774i	$0.737757\pi$
$38$	0.882187	−	0.714381i	0.143110	−	0.115888i
$39$	−1.76944	−	4.25055i	−0.283337	−	0.680632i
$40$	0.732903	+	1.83579i	0.115882	+	0.290264i
$41$	−3.12063	+	4.29518i	−0.487361	+	0.670794i	−0.979899	−	0.199497i	$-0.936069\pi$
$41$	−3.12063	+	4.29518i	−0.487361	+	0.670794i	0.492538	+	0.870291i	$0.336069\pi$
$42$	7.17292	−	6.43263i	1.10681	−	0.992577i
$43$	−0.600760	+	0.600760i	−0.0916150	+	0.0916150i	−0.751429	−	0.659814i	$-0.770635\pi$
$43$	−0.600760	+	0.600760i	−0.0916150	+	0.0916150i	0.659814	+	0.751429i	$0.270635\pi$
$44$	−10.3023	−	2.18983i	−1.55314	−	0.330129i
$45$	1.62675	−	6.50797i	0.242501	−	0.970151i
$46$	2.78867	−	0.592751i	0.411168	−	0.0873964i
$47$	4.11531	+	0.215674i	0.600280	+	0.0314594i	0.350056	−	0.936729i	$-0.386162\pi$
$47$	4.11531	+	0.215674i	0.600280	+	0.0314594i	0.250224	+	0.968188i	$0.419496\pi$
$48$	3.15180	+	4.09252i	0.454923	+	0.590704i
$49$	4.91235	+	4.98686i	0.701765	+	0.712409i
$50$	−5.48855	+	8.96589i	−0.776198	+	1.26797i
$51$	11.2906	−	3.36613i	1.58100	−	0.471353i
$52$	−2.30576	−	6.00670i	−0.319751	−	0.832979i
$53$	−4.81123	−	3.12445i	−0.660874	−	0.429177i	0.170146	−	0.985419i	$-0.445576\pi$
$53$	−4.81123	−	3.12445i	−0.660874	−	0.429177i	−0.831020	+	0.556242i	$0.812243\pi$
$54$	0.343853	+	10.9194i	0.0467924	+	1.48595i
$55$	−4.07568	−	8.83542i	−0.549565	−	1.19137i
$56$	1.78417	−	1.51225i	0.238420	−	0.202083i
$57$	−0.934793	+	0.0261310i	−0.123816	+	0.00346113i
$58$	−7.97090	+	5.17636i	−1.04663	+	0.679689i
$59$	−1.59969	+	15.2201i	−0.208262	+	1.98148i	−0.0174996	+	0.999847i	$0.505571\pi$
$59$	−1.59969	+	15.2201i	−0.208262	+	1.98148i	−0.190763	+	0.981636i	$0.561096\pi$
$60$	2.52654	−	9.02749i	0.326174	−	1.16544i
$61$	0.149168	+	1.41923i	0.0190990	+	0.181714i	0.999912	−	0.0132341i	$-0.00421268\pi$
$61$	0.149168	+	1.41923i	0.0190990	+	0.181714i	−0.980813	+	0.194949i	$0.937546\pi$
$62$	10.2475	−	1.62305i	1.30144	−	0.206128i
$63$	−7.91293	+	0.620927i	−0.996935	+	0.0782295i
$64$	6.42787	+	8.84720i	0.803483	+	1.10590i
$65$	3.17058	−	5.02767i	0.393263	−	0.623606i
$66$	10.3126	+	12.0314i	1.26940	+	1.48097i
$67$	−11.9236	+	0.624891i	−1.45670	+	0.0763426i	−0.764157	−	0.645031i	$-0.776845\pi$
$67$	−11.9236	+	0.624891i	−1.45670	+	0.0763426i	−0.692546	+	0.721373i	$0.743511\pi$
$68$	15.9033	−	4.26128i	1.92856	−	0.516756i
$69$	−2.12165	−	1.00738i	−0.255417	−	0.121274i
$70$	12.1220	+	2.78795i	1.44886	+	0.333224i
$71$	5.12625	+	1.66562i	0.608374	+	0.197673i	0.596972	−	0.802262i	$-0.296370\pi$
$71$	5.12625	+	1.66562i	0.608374	+	0.197673i	0.0114022	+	0.999935i	$0.496370\pi$
$72$	0.00936974	+	2.65198i	0.00110423	+	0.312539i
$73$	7.37253	−	2.83005i	0.862890	−	0.331232i	0.113642	−	0.993522i	$-0.463748\pi$
$73$	7.37253	−	2.83005i	0.862890	−	0.331232i	0.749248	+	0.662289i	$0.230415\pi$
$74$	4.74862	+	8.22486i	0.552016	+	0.956120i
$75$	8.07809	−	3.12160i	0.932778	−	0.360452i
$76$	−1.30684			−0.149904
$77$	−8.38090	+	7.89345i	−0.955093	+	0.899542i
$78$	−2.73291	+	9.28635i	−0.309441	+	1.05147i
$79$	−8.50574	+	7.65861i	−0.956971	+	0.861660i	−0.990463	−	0.137779i	$-0.956004\pi$
$79$	−8.50574	+	7.65861i	−0.956971	+	0.861660i	0.0334922	+	0.999439i	$0.489337\pi$
$80$	−1.97605	+	6.36915i	−0.220929	+	0.712093i
$81$	5.23849	−	7.31835i	0.582054	−	0.813150i
$82$	10.7820	−	2.88904i	1.19068	−	0.319041i
$83$	0.925049	−	1.81551i	0.101537	−	0.199278i	−0.834649	−	0.550782i	$-0.814330\pi$
$83$	0.925049	−	1.81551i	0.101537	−	0.199278i	0.936186	+	0.351504i	$0.114330\pi$
$84$	−11.0778	+	0.558386i	−1.20869	+	0.0609249i
$85$	11.9469	+	9.41369i	1.29583	+	1.02106i
$86$	1.77649	−	0.186717i	0.191564	−	0.0201342i
$87$	7.80660	+	0.600518i	0.836955	+	0.0643823i
$88$	2.42080	+	2.98943i	0.258058	+	0.318675i
$89$	0.672733	+	6.40063i	0.0713096	+	0.678465i	0.970532	+	0.240973i	$0.0774665\pi$
$89$	0.672733	+	6.40063i	0.0713096	+	0.678465i	−0.899222	+	0.437492i	$0.855867\pi$
$90$	−11.2690	+	8.48122i	−1.18785	+	0.893999i
$91$	−6.83238	−	1.66753i	−0.716228	−	0.174805i
$92$	−2.92441	−	1.49006i	−0.304890	−	0.155349i
$93$	−7.51867	−	4.06512i	−0.779650	−	0.421534i
$94$	−6.43881	−	5.79753i	−0.664112	−	0.597969i
$95$	−0.722573	−	0.967172i	−0.0741345	−	0.0992298i
$96$	0.339866	−	13.9185i	0.0346875	−	1.42056i
$97$	−2.58747	+	1.31838i	−0.262718	+	0.133861i	−0.580389	−	0.814340i	$-0.697099\pi$
$97$	−2.58747	+	1.31838i	−0.262718	+	0.133861i	0.317671	+	0.948201i	$0.397099\pi$
$98$	−1.42818	−	14.6480i	−0.144268	−	1.47967i
$99$	−0.729267	−	13.0340i	−0.0732941	−	1.30996i
$100$	11.4062	−	4.04514i	1.14062	−	0.404514i
$101$	13.3598	−	7.71326i	1.32935	−	0.767499i	0.344148	−	0.938915i	$-0.388168\pi$
$101$	13.3598	−	7.71326i	1.32935	−	0.767499i	0.985199	+	0.171417i	$0.0548345\pi$
$102$	−22.9020	−	9.43895i	−2.26764	−	0.934596i
$103$	−2.72019	−	0.142559i	−0.268028	−	0.0140467i	−0.0821514	−	0.996620i	$-0.526179\pi$
$103$	−2.72019	−	0.142559i	−0.268028	−	0.0140467i	−0.185876	+	0.982573i	$0.559512\pi$
$104$	−0.726142	+	2.23484i	−0.0712041	+	0.219144i
$105$	−6.53840	−	7.88983i	−0.638082	−	0.769968i
$106$	3.72718	+	11.4711i	0.362016	+	1.11417i
$107$	3.84680	+	14.3565i	0.371885	+	1.38789i	0.857844	+	0.513911i	$0.171804\pi$
$107$	3.84680	+	14.3565i	0.371885	+	1.38789i	−0.485959	+	0.873981i	$0.661530\pi$
$108$	7.60343	−	10.0185i	0.731641	−	0.964029i
$109$	−8.52097	−	0.895591i	−0.816161	−	0.0857820i	−0.312757	−	0.949833i	$-0.601253\pi$
$109$	−8.52097	−	0.895591i	−0.816161	−	0.0857820i	−0.503404	+	0.864051i	$0.667919\pi$
$110$	−5.03106	+	19.8292i	−0.479693	+	1.89064i
$111$	1.00752	−	7.75879i	0.0956299	−	0.736432i
$112$	7.88847	−	0.176862i	0.745390	−	0.0167118i
$113$	−3.20645	−	20.2447i	−0.301638	−	1.90447i	−0.413080	−	0.910695i	$-0.635547\pi$
$113$	−3.20645	−	20.2447i	−0.301638	−	1.90447i	0.111443	−	0.993771i	$-0.464453\pi$
$114$	1.56197	+	1.19416i	0.146292	+	0.111844i
$115$	−0.514184	−	2.98820i	−0.0479479	−	0.278651i
$116$	10.8816	+	1.14370i	1.01033	+	0.106190i
$117$	6.43498	−	4.71011i	0.594914	−	0.435450i
$118$	22.7520	−	22.7520i	2.09450	−	2.09450i
$119$	6.07127	−	16.9418i	0.556552	−	1.55305i
$120$	−2.79199	+	1.98157i	−0.254873	+	0.180892i
$121$	−5.30966	−	5.89697i	−0.482696	−	0.536088i
$122$	1.63411	−	2.51631i	0.147946	−	0.227816i
$123$	−8.50191	−	3.50403i	−0.766592	−	0.315947i
$124$	−10.3441	−	5.97218i	−0.928929	−	0.536318i
$125$	9.30046	+	6.20496i	0.831858	+	0.554988i
$126$	13.7508	+	9.45534i	1.22502	+	0.842349i
$127$	9.91283	+	1.57004i	0.879622	+	0.139318i	0.579880	−	0.814702i	$-0.303099\pi$
$127$	9.91283	+	1.57004i	0.879622	+	0.139318i	0.299742	+	0.954020i	$0.403099\pi$
$128$	0.361941	−	6.90624i	0.0319913	−	0.610431i
$129$	−1.25606	−	0.766668i	−0.110590	−	0.0675013i
$130$	−11.8328	+	4.01979i	−1.03781	+	0.352559i
$131$	−2.90730	+	13.6778i	−0.254012	+	1.19503i	0.647428	+	0.762127i	$0.275845\pi$
$131$	−2.90730	+	13.6778i	−0.254012	+	1.19503i	−0.901440	+	0.432905i	$0.857489\pi$
$132$	−0.509756	−	18.2357i	−0.0443686	−	1.58721i
$133$	−0.813523	+	1.17419i	−0.0705414	+	0.101815i
$134$	20.3093	+	14.7556i	1.75446	+	1.27469i
$135$	11.6186	+	0.0878038i	0.999971	+	0.00755695i
$136$	−5.49324	−	2.44575i	−0.471042	−	0.209721i
$137$	−11.1224	−	13.7351i	−0.950255	−	1.17347i	−0.984735	−	0.174062i	$-0.944311\pi$
$137$	−11.1224	−	13.7351i	−0.950255	−	1.17347i	0.0344800	−	0.999405i	$-0.489023\pi$
$138$	2.13375	+	4.45323i	0.181637	+	0.379085i
$139$	−0.775711	−	1.06768i	−0.0657950	−	0.0905590i	0.774851	−	0.632143i	$-0.217825\pi$
$139$	−0.775711	−	1.06768i	−0.0657950	−	0.0905590i	−0.840646	+	0.541584i	$0.817825\pi$
$140$	−8.82542	−	11.2766i	−0.745884	−	0.953051i
$141$	1.31314	+	7.01588i	0.110586	+	0.590844i
$142$	−6.17214	−	9.50426i	−0.517954	−	0.797580i
$143$	2.99377	−	11.1729i	0.250351	−	0.934324i
$144$	−5.60589	+	6.97292i	−0.467157	+	0.581077i
$145$	5.17020	+	8.68572i	0.429362	+	0.721309i
$146$	−15.7908	−	5.13075i	−1.30686	−	0.424624i
$147$	−6.39440	+	10.3010i	−0.527401	+	0.849616i
$148$	1.71038	−	10.7989i	0.140593	−	0.887667i
$149$	1.99081	−	3.44819i	0.163094	−	0.282487i	−0.772883	−	0.634549i	$-0.781186\pi$
$149$	1.99081	−	3.44819i	0.163094	−	0.282487i	0.935977	+	0.352062i	$0.114519\pi$
$150$	−17.3294	−	5.58792i	−1.41494	−	0.456252i
$151$	−7.11752	−	12.3279i	−0.579216	−	1.00323i	−0.995570	−	0.0940282i	$-0.970026\pi$
$151$	−7.11752	−	12.3279i	−0.579216	−	1.00323i	0.416354	−	0.909203i	$-0.363308\pi$
$152$	0.370919	+	0.300364i	0.0300855	+	0.0243627i
$153$	10.2656	+	17.6364i	0.829926	+	1.42582i
$154$	24.1380	−	1.80833i	1.94510	−	0.145719i
$155$	−1.29952	−	10.9577i	−0.104380	−	0.880141i
$156$	9.17298	−	6.32830i	0.734426	−	0.506669i
$157$	−5.79614	+	21.6315i	−0.462582	+	1.72638i	0.202202	+	0.979344i	$0.435190\pi$
$157$	−5.79614	+	21.6315i	−0.462582	+	1.72638i	−0.664784	+	0.747036i	$0.731476\pi$
$158$	24.0313	−	1.25943i	1.91182	−	0.100194i
$159$	3.30026	−	9.37224i	0.261728	−	0.743267i
$160$	14.9426	−	9.98937i	1.18132	−	0.789729i
$161$	−3.15930	+	1.70000i	−0.248988	+	0.133979i
$162$	−18.2426	+	5.02650i	−1.43327	+	0.394919i
$163$	−0.748101	+	1.94887i	−0.0585958	+	0.152647i	−0.959753	−	0.280845i	$-0.909385\pi$
$163$	−0.748101	+	1.94887i	−0.0585958	+	0.152647i	0.901157	+	0.433492i	$0.142719\pi$
$164$	−11.7395	−	5.22678i	−0.916703	−	0.408143i
$165$	13.2141	−	10.4601i	1.02872	−	0.814318i
$166$	−3.91364	+	1.74247i	−0.303758	+	0.135242i
$167$	12.1335	+	6.18231i	0.938917	+	0.478402i	0.855321	−	0.518098i	$-0.173360\pi$
$167$	12.1335	+	6.18231i	0.938917	+	0.478402i	0.0835952	+	0.996500i	$0.473360\pi$
$168$	3.27256	+	2.38765i	0.252484	+	0.184211i
$169$	−5.64355	+	1.83370i	−0.434119	+	0.141054i
$170$	−7.06497	−	31.1889i	−0.541858	−	2.39208i
$171$	−0.424745	−	1.56306i	−0.0324811	−	0.119530i
$172$	−1.72466	−	1.12001i	−0.131504	−	0.0853999i
$173$	−13.1510	+	16.2402i	−0.999854	+	1.23472i	−0.0278841	+	0.999611i	$0.508877\pi$
$173$	−13.1510	+	16.2402i	−0.999854	+	1.23472i	−0.971970	+	0.235106i	$0.924456\pi$
$174$	−11.9609	−	11.3104i	−0.906757	−	0.857441i
$175$	3.46596	−	12.7666i	0.262002	−	0.965067i
$176$			12.9774i			0.978208i
$177$	−26.2742	+	3.50629i	−1.97489	+	0.263549i
$178$	7.36971	−	11.3484i	0.552383	−	0.850595i
$179$	12.0507	−	2.56146i	0.900715	−	0.191453i	0.265794	−	0.964030i	$-0.414366\pi$
$179$	12.0507	−	2.56146i	0.900715	−	0.191453i	0.634921	+	0.772577i	$0.281033\pi$
$180$	16.2267	+	0.576346i	1.20946	+	0.0429583i
$181$	1.31036	+	4.03286i	0.0973981	+	0.299760i	0.987871	−	0.155275i	$-0.0496265\pi$
$181$	1.31036	+	4.03286i	0.0973981	+	0.299760i	−0.890473	+	0.455036i	$0.849626\pi$
$182$	8.95733	+	11.7648i	0.663961	+	0.872067i
$183$	−2.32849	+	0.829194i	−0.172127	+	0.0612958i
$184$	0.487557	+	1.09507i	0.0359432	+	0.0807297i
$185$	8.93785	−	4.70510i	0.657124	−	0.345926i
$186$	6.90633	+	16.5904i	0.506397	+	1.21647i
$187$	27.6333	+	10.6074i	2.02075	+	0.775693i
$188$	1.56037	+	9.85179i	0.113802	+	0.718516i
$189$	−4.26836	−	13.0683i	−0.310478	−	0.950581i
$190$	−0.0990614	+	2.53637i	−0.00718667	+	0.184007i
$191$	−4.43613	−	9.96372i	−0.320987	−	0.720949i	0.678925	−	0.734208i	$-0.262446\pi$
$191$	−4.43613	−	9.96372i	−0.320987	−	0.720949i	−0.999912	+	0.0132585i	$0.995780\pi$
$192$	−12.2759	+	14.4248i	−0.885937	+	1.04102i
$193$	13.2062	+	3.53860i	0.950607	+	0.254714i	0.700620	−	0.713535i	$-0.252907\pi$
$193$	13.2062	+	3.53860i	0.950607	+	0.254714i	0.249987	+	0.968249i	$0.419574\pi$
$194$	5.97217	+	1.26942i	0.428777	+	0.0911394i
$195$	9.75539	+	3.28977i	0.698598	+	0.235585i
$196$	−9.33461	+	14.1399i	−0.666758	+	1.00999i
$197$	0.939287	+	1.84345i	0.0669214	+	0.131341i	0.922044	−	0.387085i	$-0.126518\pi$
$197$	0.939287	+	1.84345i	0.0669214	+	0.131341i	−0.855122	+	0.518426i	$0.826518\pi$
$198$	−16.0542	+	22.2617i	−1.14092	+	1.58207i
$199$	5.09685	−	2.94267i	0.361306	−	0.208600i	−0.308347	−	0.951274i	$-0.599776\pi$
$199$	5.09685	−	2.94267i	0.361306	−	0.208600i	0.669654	+	0.742674i	$0.266443\pi$
$200$	−4.16716	−	1.47348i	−0.294663	−	0.104191i
$201$	−5.90865	−	19.8186i	−0.416764	−	1.39790i
$202$	−32.0348	−	5.07381i	−2.25396	−	0.356992i
$203$	7.80157	−	9.06516i	0.547563	−	0.636250i
$204$	13.6514	+	25.0372i	0.955789	+	1.75295i
$205$	−2.62273	−	11.5782i	−0.183179	−	0.808660i
$206$	4.25599	+	3.83211i	0.296529	+	0.266996i
$207$	0.831722	−	3.98207i	0.0578086	−	0.276773i
$208$	−6.64862	+	4.31767i	−0.460999	+	0.299376i
$209$	−1.90071	−	1.38095i	−0.131475	−	0.0955222i
$210$	0.244012	+	21.5427i	0.0168384	+	1.48659i
$211$	1.60210	−	1.16400i	0.110293	−	0.0801329i	−0.531271	−	0.847202i	$-0.678286\pi$
$211$	1.60210	−	1.16400i	0.110293	−	0.0801329i	0.641565	+	0.767069i	$0.278286\pi$
$212$	4.97612	−	12.9632i	0.341762	−	0.890319i
$213$	−0.716040	+	9.30835i	−0.0490623	+	0.637798i
$214$	12.7101	−	28.5475i	0.868848	−	1.95146i
$215$	−0.124693	−	1.89567i	−0.00850400	−	0.129284i
$216$	−4.46073	+	1.09596i	−0.303514	+	0.0745708i
$217$	−11.8054	+	5.57643i	−0.801400	+	0.378553i
$218$	12.7378	+	12.7378i	0.862711	+	0.862711i
$219$	7.76726	+	11.2588i	0.524863	+	0.760797i
$220$	18.8673	−	14.0958i	1.27204	−	0.950337i
$221$	3.75935	+	17.6864i	0.252882	+	1.18971i
$222$	−11.9122	+	11.3443i	−0.799493	+	0.761380i
$223$	−3.35705	+	21.1956i	−0.224804	+	1.41936i	0.574535	+	0.818480i	$0.305183\pi$
$223$	−3.35705	+	21.1956i	−0.224804	+	1.41936i	−0.799340	+	0.600880i	$0.794817\pi$
$224$	−16.8236	−	13.0101i	−1.12407	−	0.869274i
$225$	8.54547	+	12.3278i	0.569698	+	0.821854i
$226$	−21.5474	+	37.3213i	−1.43331	+	2.48257i
$227$	13.6659	−	5.24583i	0.907035	−	0.348178i	0.140276	−	0.990112i	$-0.455201\pi$
$227$	13.6659	−	5.24583i	0.907035	−	0.348178i	0.766760	+	0.641934i	$0.221868\pi$
$228$	−0.532292	−	2.20003i	−0.0352519	−	0.145700i
$229$	−4.84580	+	4.36317i	−0.320219	+	0.288327i	−0.813526	−	0.581529i	$-0.802455\pi$
$229$	−4.84580	+	4.36317i	−0.320219	+	0.288327i	0.493307	+	0.869856i	$0.335788\pi$
$230$	−3.11365	+	5.56287i	−0.205308	+	0.366805i
$231$	−16.7021	−	10.8940i	−1.09892	−	0.716769i
$232$	−2.82566	−	2.82566i	−0.185513	−	0.185513i
$233$	9.03009	+	13.9051i	0.591581	+	0.910954i	0.999998	−	0.00184081i	$-0.000585947\pi$
$233$	9.03009	+	13.9051i	0.591581	+	0.910954i	−0.408418	+	0.912795i	$0.633919\pi$
$234$	−16.7465	−	0.818328i	−1.09475	−	0.0534958i
$235$	−6.42842	+	6.60204i	−0.419344	+	0.430670i
$236$	−36.8395	+	3.87198i	−2.39804	+	0.252045i
$237$	−16.3576	−	11.1998i	−1.06254	−	0.727503i
$238$	−32.3365	+	19.6488i	−2.09606	+	1.27364i
$239$	−8.81337	+	6.40329i	−0.570089	+	0.414194i	−0.835138	−	0.550041i	$-0.814612\pi$
$239$	−8.81337	+	6.40329i	−0.570089	+	0.414194i	0.265048	+	0.964235i	$0.414612\pi$
$240$	−11.5272	−	0.732384i	−0.744077	−	0.0472752i
$241$	−2.14602	+	20.4181i	−0.138238	+	1.31524i	0.676943	+	0.736035i	$0.263304\pi$
$241$	−2.14602	+	20.4181i	−0.138238	+	1.31524i	−0.815181	+	0.579207i	$0.803362\pi$
$242$	0.873151	+	16.6607i	0.0561282	+	1.07099i
$243$	14.4540	+	5.83801i	0.927224	+	0.374508i
$244$	−3.28506	+	1.06738i	−0.210304	+	0.0683320i
$245$	−15.6260	+	0.909777i	−0.998309	+	0.0581235i
$246$	9.25531	+	16.9746i	0.590097	+	1.08226i
$247$	0.0751124	−	1.43323i	0.00477929	−	0.0911943i
$248$	1.56332	+	4.07258i	0.0992707	+	0.258609i
$249$	3.43315	+	0.817816i	0.217567	+	0.0518270i
$250$	−6.98637	−	22.4443i	−0.441857	−	1.41950i
$251$			4.89394i			0.308903i	0.988000	+	0.154451i	$0.0493610\pi$
$251$			4.89394i			0.308903i	−0.988000	+	0.154451i	$0.950639\pi$
$252$	−5.45219	−	18.4219i	−0.343456	−	1.16047i
$253$	−2.67881	−	5.25745i	−0.168415	−	0.330533i
$254$	−14.1196	−	15.6814i	−0.885942	−	0.983938i
$255$	−10.9816	+	23.9467i	−0.687693	+	1.49960i
$256$	4.90558	−	5.44819i	0.306598	−	0.340512i
$257$	4.23514	+	15.8057i	0.264180	+	0.985935i	0.962750	+	0.270393i	$0.0871536\pi$
$257$	4.23514	+	15.8057i	0.264180	+	0.985935i	−0.698570	+	0.715542i	$0.746180\pi$
$258$	1.03792	+	2.91463i	0.0646183	+	0.181457i
$259$	−8.63811	−	8.25927i	−0.536746	−	0.513206i
$260$	13.4989	+	4.97642i	0.837165	+	0.308625i
$261$	2.16878	+	13.3868i	0.134244	+	0.828624i
$262$	22.8479	−	18.5019i	1.41155	−	1.14305i
$263$	10.1066	−	8.18414i	0.623198	−	0.504656i	−0.264921	−	0.964270i	$-0.585346\pi$
$263$	10.1066	−	8.18414i	0.623198	−	0.504656i	0.888118	+	0.459615i	$0.152012\pi$
$264$	−4.04662	+	5.29299i	−0.249052	+	0.325761i
$265$	12.3453	−	3.48485i	0.758367	−	0.214072i
$266$	2.88287	−	0.842156i	0.176760	−	0.0516359i
$267$	−10.5013	+	3.73959i	−0.642669	+	0.228859i
$268$	−7.47992	−	27.9154i	−0.456909	−	1.70521i
$269$	−14.5138	+	16.1193i	−0.884924	+	0.982808i	−0.999944	−	0.0105550i	$-0.996640\pi$
$269$	−14.5138	+	16.1193i	−0.884924	+	0.982808i	0.115020	+	0.993363i	$0.463307\pi$
$270$	−18.8679	−	15.5165i	−1.14827	−	0.944304i
$271$	−8.70216	−	9.66473i	−0.528618	−	0.587090i	0.418403	−	0.908262i	$-0.362590\pi$
$271$	−8.70216	−	9.66473i	−0.528618	−	0.587090i	−0.947021	+	0.321171i	$0.895923\pi$
$272$	−9.20972	−	18.0751i	−0.558421	−	1.09596i
$273$	0.0243248	−	12.1814i	0.00147220	−	0.737250i
$274$			37.1588i			2.24485i
$275$	20.8642	+	6.16966i	1.25816	+	0.372045i
$276$	1.31733	−	5.53009i	0.0792940	−	0.332873i
$277$	8.18257	+	21.3163i	0.491643	+	1.28077i	0.925143	+	0.379620i	$0.123945\pi$
$277$	8.18257	+	21.3163i	0.491643	+	1.28077i	−0.433500	+	0.901154i	$0.642722\pi$
$278$	−0.145216	+	2.77089i	−0.00870949	+	0.166187i
$279$	3.78108	−	14.3133i	0.226368	−	0.856914i
$280$	−0.0869159	+	5.22909i	−0.00519422	+	0.312498i
$281$	5.29538	−	1.72057i	0.315896	−	0.102641i	−0.146778	−	0.989169i	$-0.546890\pi$
$281$	5.29538	−	1.72057i	0.315896	−	0.102641i	0.462673	+	0.886529i	$0.346890\pi$
$282$	7.13739	−	13.2010i	0.425025	−	0.786108i
$283$	−1.30219	−	24.8472i	−0.0774070	−	1.47701i	−0.710915	−	0.703277i	$-0.751719\pi$
$283$	−1.30219	−	24.8472i	−0.0774070	−	1.47701i	0.633508	−	0.773736i	$-0.281614\pi$
$284$	−1.36372	+	12.9749i	−0.0809218	+	0.769920i
$285$	1.33390	−	1.61038i	0.0790133	−	0.0953906i
$286$	−19.6749	+	14.2947i	−1.16340	+	0.845261i
$287$	−12.0043	+	7.29423i	−0.708590	+	0.430565i
$288$	23.5700	−	5.09706i	1.38887	−	0.300347i
$289$	−29.1091	+	3.05949i	−1.71230	+	0.179970i
$290$	3.04461	−	21.0328i	0.178785	−	1.23509i
$291$	−3.27338	−	3.81895i	−0.191889	−	0.223871i
$292$	10.4105	+	16.0307i	0.609227	+	0.938127i
$293$	16.4411	+	16.4411i	0.960497	+	0.960497i	0.999249	−	0.0387517i	$-0.0123381\pi$
$293$	16.4411	+	16.4411i	0.960497	+	0.960497i	−0.0387517	+	0.999249i	$0.512338\pi$
$294$	24.0778	−	8.37062i	1.40424	−	0.488184i
$295$	−23.2348	−	25.1235i	−1.35278	−	1.46275i
$296$	−2.96749	+	2.67194i	−0.172482	+	0.155304i
$297$	21.6454	−	6.53662i	1.25599	−	0.379293i
$298$	−7.81531	+	3.00001i	−0.452729	+	0.173786i
$299$	1.80226	−	3.12161i	0.104227	−	0.180527i
$300$	11.4558	+	17.5545i	0.661402	+	1.01351i
$301$	−2.07995	+	0.852388i	−0.119887	+	0.0491309i
$302$	−4.68193	+	29.5605i	−0.269415	+	1.70102i
$303$	18.4267	+	19.3491i	1.05859	+	1.11158i
$304$	0.334777	+	1.57500i	0.0192008	+	0.0903327i
$305$	−2.60632	−	1.84105i	−0.149238	−	0.105418i
$306$	6.56196	−	42.3996i	0.375122	−	2.42382i
$307$	14.7231	+	14.7231i	0.840291	+	0.840291i	0.988897	−	0.148606i	$-0.0474785\pi$
$307$	14.7231	+	14.7231i	0.840291	+	0.840291i	−0.148606	+	0.988897i	$0.547478\pi$
$308$	−22.9058	−	15.8700i	−1.30518	−	0.904277i
$309$	−0.867974	−	4.63744i	−0.0493773	−	0.263815i
$310$	−12.3752	+	19.6236i	−0.702863	+	1.11455i
$311$	−6.04496	+	13.5772i	−0.342778	+	0.769892i	0.657092	+	0.753810i	$0.271786\pi$
$311$	−6.04496	+	13.5772i	−0.342778	+	0.769892i	−0.999871	+	0.0160825i	$0.994881\pi$
$312$	−4.05806	−	0.312164i	−0.229743	−	0.0176728i
$313$	9.32186	−	24.2843i	0.526903	−	1.37263i	−0.369435	−	0.929256i	$-0.620449\pi$
$313$	9.32186	−	24.2843i	0.526903	−	1.37263i	0.896338	−	0.443372i	$-0.146218\pi$
$314$	38.0920	−	27.6754i	2.14965	−	1.56182i
$315$	10.6192	−	14.2209i	0.598322	−	0.801256i
$316$	−22.4127	−	16.2837i	−1.26081	−	0.916032i
$317$	−25.6239	+	16.6403i	−1.43918	+	0.934615i	−0.439848	+	0.898072i	$0.644968\pi$
$317$	−25.6239	+	16.6403i	−1.43918	+	0.934615i	−0.999332	+	0.0365428i	$0.988365\pi$
$318$	−17.7932	+	10.9470i	−0.997793	+	0.613875i
$319$	14.6181	+	13.1622i	0.818455	+	0.736940i
$320$	−24.3510	−	2.23181i	−1.36126	−	0.124762i
$321$	−22.6019	+	12.3236i	−1.26152	+	0.687836i
$322$	7.41144	+	1.40250i	0.413023	+	0.0781583i
$323$	3.62736	+	0.574518i	0.201832	+	0.0319670i
$324$	19.9629	+	8.71954i	1.10905	+	0.484419i
$325$	3.78079	+	12.7419i	0.209721	+	0.706794i
$326$	3.80098	−	2.19449i	0.210517	−	0.121542i
$327$	−1.96300	−	14.7097i	−0.108554	−	0.813446i
$328$	2.13070	+	4.18173i	0.117648	+	0.230898i
$329$	9.82319	+	4.73088i	0.541570	+	0.260822i
$330$	−35.4313	−	0.392953i	−1.95043	−	0.0216314i
$331$	12.1126	+	2.57461i	0.665767	+	0.141513i	0.528385	−	0.849005i	$-0.322798\pi$
$331$	12.1126	+	2.57461i	0.665767	+	0.141513i	0.137382	+	0.990518i	$0.456131\pi$
$332$	4.76385	+	1.27647i	0.261450	+	0.0700554i
$333$	13.4721	−	1.46412i	0.738268	−	0.0802332i
$334$	−11.6453	−	26.1558i	−0.637203	−	1.43118i
$335$	16.5241	−	20.9707i	0.902806	−	1.14575i
$336$	3.51083	+	13.2080i	0.191531	+	0.720557i
$337$	−2.26636	−	14.3092i	−0.123456	−	0.779473i	−0.969271	−	0.245996i	$-0.920885\pi$
$337$	−2.26636	−	14.3092i	−0.123456	−	0.779473i	0.845814	−	0.533477i	$-0.179115\pi$
$338$	11.6475	+	4.47104i	0.633539	+	0.243193i
$339$	32.7755	−	13.6440i	1.78012	−	0.741038i
$340$	−16.2753	+	33.0225i	−0.882652	+	1.79089i
$341$	−8.73401	−	19.6169i	−0.472973	−	1.06232i
$342$	−1.37414	+	3.11594i	−0.0743047	+	0.168491i
$343$	6.89377	+	17.1894i	0.372228	+	0.928141i
$344$	0.232087	+	0.714289i	0.0125133	+	0.0385119i
$345$	4.82112	−	2.08275i	0.259561	−	0.112131i
$346$	42.9760	−	9.13482i	2.31040	−	0.491091i
$347$	−2.25542	+	3.47304i	−0.121077	+	0.186442i	−0.894012	−	0.448043i	$-0.852121\pi$
$347$	−2.25542	+	3.47304i	−0.121077	+	0.186442i	0.772935	+	0.634485i	$0.218788\pi$
$348$	2.50683	+	18.7848i	0.134380	+	1.00697i
$349$			12.6779i			0.678632i	0.940673	+	0.339316i	$0.110196\pi$
$349$			12.6779i			0.678632i	−0.940673	+	0.339316i	$0.889804\pi$
$350$	−22.5552	+	16.2740i	−1.20563	+	0.869880i
$351$	10.5504	+	8.91465i	0.563140	+	0.475829i
$352$	22.0125	−	27.1831i	1.17327	−	1.44887i
$353$	−23.5414	−	15.2880i	−1.25298	−	0.813696i	−0.264405	−	0.964412i	$-0.585176\pi$
$353$	−23.5414	−	15.2880i	−1.25298	−	0.813696i	−0.988577	+	0.150716i	$0.951842\pi$
$354$	47.5698	+	29.0353i	2.52830	+	1.54321i
$355$	−10.3566	+	6.16479i	−0.549671	+	0.327193i
$356$	−14.8153	+	4.81379i	−0.785211	+	0.255130i
$357$	30.9941	+	3.32020i	1.64038	+	0.175724i
$358$	−23.0794	−	11.7595i	−1.21978	−	0.621510i
$359$	−13.2879	+	5.91614i	−0.701306	+	0.312242i	−0.726234	−	0.687448i	$-0.758731\pi$
$359$	−13.2879	+	5.91614i	−0.701306	+	0.312242i	0.0249277	+	0.999689i	$0.492064\pi$
$360$	−4.47314	−	3.89313i	−0.235755	−	0.205186i
$361$	17.0911	+	7.60943i	0.899529	+	0.400496i
$362$	3.19499	−	8.32324i	0.167925	−	0.437460i
$363$	7.76472	−	11.3406i	0.407542	−	0.595227i
$364$	0.509646	−	17.0153i	0.0267127	−	0.891842i
$365$	−6.10799	+	16.5683i	−0.319707	+	0.867226i
$366$	4.90175	+	1.72606i	0.256219	+	0.0902227i
$367$	2.73653	−	0.143416i	0.142846	−	0.00748624i	0.0192210	−	0.999815i	$-0.493881\pi$
$367$	2.73653	−	0.143416i	0.142846	−	0.00748624i	0.123625	+	0.992329i	$0.460548\pi$
$368$	−1.04667	+	3.90622i	−0.0545614	+	0.203626i
$369$	2.43600	−	15.7400i	0.126813	−	0.819393i
$370$	−20.8294	−	4.13818i	−1.08287	−	0.215133i
$371$	−8.54977	−	12.5408i	−0.443882	−	0.651088i
$372$	5.84073	−	19.8466i	0.302828	−	1.02900i
$373$	−9.39847	−	7.61073i	−0.486634	−	0.394069i	0.354363	−	0.935108i	$-0.384698\pi$
$373$	−9.39847	−	7.61073i	−0.486634	−	0.394069i	−0.840997	+	0.541039i	$0.818031\pi$
$374$	−31.1161	−	53.8946i	−1.60897	−	2.78682i
$375$	−6.65770	+	18.1845i	−0.343802	+	0.939042i
$376$	1.82146	−	3.15487i	0.0939348	−	0.162700i
$377$	−1.87976	+	11.8683i	−0.0968125	+	0.611250i
$378$	−10.3170	+	27.0005i	−0.530647	+	1.38876i
$379$	28.1459	+	9.14515i	1.44576	+	0.469755i	0.923687	−	0.383148i	$-0.125160\pi$
$379$	28.1459	+	9.14515i	1.44576	+	0.469755i	0.522070	+	0.852903i	$0.325160\pi$
$380$	1.92621	−	2.19746i	0.0988125	−	0.112727i
$381$	1.39451	+	17.3275i	0.0714429	+	0.887716i
$382$	−5.93500	+	22.1497i	−0.303661	+	1.13328i
$383$	−11.1602	−	17.1852i	−0.570260	−	0.878123i	0.429428	−	0.903101i	$-0.358715\pi$
$383$	−11.1602	−	17.1852i	−0.570260	−	0.878123i	−0.999688	+	0.0249777i	$0.992049\pi$
$384$	11.7739	−	2.20369i	0.600835	−	0.112456i
$385$	−0.919873	−	25.7271i	−0.0468811	−	1.31118i
$386$	−16.8962	−	23.2556i	−0.859991	−	1.18368i
$387$	0.779056	−	2.42683i	0.0396016	−	0.123363i
$388$	−4.42347	−	5.46253i	−0.224568	−	0.277318i
$389$	−29.7632	−	13.2514i	−1.50905	−	0.671874i	−0.525221	−	0.850966i	$-0.676017\pi$
$389$	−29.7632	−	13.2514i	−1.50905	−	0.671874i	−0.983832	+	0.179092i	$0.942684\pi$
$390$	−11.5869	−	18.2830i	−0.586726	−	0.925797i
$391$	7.46216	+	5.42158i	0.377378	+	0.274181i
$392$	5.89936	−	1.86785i	0.297963	−	0.0943404i
$393$	−24.2104	+	0.676771i	−1.22125	+	0.0341386i
$394$	0.904407	−	4.25490i	0.0455634	−	0.214359i
$395$	−0.340975	−	25.5909i	−0.0171563	−	1.28762i
$396$	30.4917	−	8.28581i	1.53227	−	0.416378i
$397$	−0.0139113	+	0.265444i	−0.000698189	+	0.0133222i	−0.998956	−	0.0456737i	$-0.985457\pi$
$397$	−0.0139113	+	0.265444i	−0.000698189	+	0.0133222i	0.998258	+	0.0589959i	$0.0187899\pi$
$398$	−12.2215	−	1.93570i	−0.612608	−	0.0970276i
$399$	−2.30809	−	0.891283i	−0.115549	−	0.0446200i
$400$	−7.79720	−	12.7106i	−0.389860	−	0.635528i
$401$	4.50568	+	2.60135i	0.225003	+	0.129905i	0.608265	−	0.793734i	$-0.291866\pi$
$401$	4.50568	+	2.60135i	0.225003	+	0.129905i	−0.383262	+	0.923640i	$0.625199\pi$
$402$	−16.5684	+	40.2004i	−0.826357	+	2.00501i
$403$	7.14434	−	11.0013i	0.355885	−	0.548015i
$404$	24.9848	+	27.7484i	1.24304	+	1.38054i
$405$	4.58461	+	19.5954i	0.227811	+	0.973705i
$406$	−24.7418	+	4.48937i	−1.22791	+	0.222804i
$407$	13.8990	−	13.8990i	0.688948	−	0.688948i
$408$	1.87989	−	10.2439i	0.0930684	−	0.507151i
$409$	3.05639	+	0.321239i	0.151129	+	0.0158843i	0.179791	−	0.983705i	$-0.442458\pi$
$409$	3.05639	+	0.321239i	0.151129	+	0.0158843i	−0.0286620	+	0.999589i	$0.509125\pi$
$410$	−11.0342	+	22.3884i	−0.544942	+	1.10568i
$411$	18.5924	−	24.3189i	0.917094	−	1.19956i
$412$	−1.03139	−	6.51195i	−0.0508130	−	0.320821i
$413$	−19.4541	+	35.5106i	−0.957273	+	1.74736i
$414$	−6.62781	+	5.40598i	−0.325739	+	0.265689i
$415$	1.68932	+	4.23145i	0.0829255	+	0.207714i
$416$	21.2503	+	2.23349i	1.04188	+	0.109506i
$417$	1.48145	−	1.74077i	0.0725469	−	0.0852459i
$418$	1.27846	+	4.77129i	0.0625317	+	0.233372i
$419$	−10.6094	−	32.6523i	−0.518302	−	1.59517i	−0.777193	−	0.629262i	$-0.783357\pi$
$419$	−10.6094	−	32.6523i	−0.518302	−	1.59517i	0.258892	−	0.965906i	$-0.416643\pi$
$420$	15.3893	−	19.4505i	0.750919	−	0.949089i
$421$	10.3039	−	31.7121i	0.502181	−	1.54555i	−0.303279	−	0.952902i	$-0.598081\pi$
$421$	10.3039	−	31.7121i	0.502181	−	1.54555i	0.805459	−	0.592651i	$-0.201919\pi$
$422$	−4.15787	−	0.217905i	−0.202402	−	0.0106074i
$423$	−11.2762	+	5.06831i	−0.548269	+	0.246430i
$424$	−4.39185	+	2.53564i	−0.213287	+	0.123141i
$425$	−33.4384	+	6.21358i	−1.62200	+	0.301403i
$426$	13.4862	−	14.2619i	0.653409	−	0.690990i
$427$	−1.08595	+	3.61608i	−0.0525529	+	0.174995i
$428$	−32.0539	+	16.3323i	−1.54939	+	0.789452i
$429$	20.0287	+	0.489066i	0.966995	+	0.0236123i
$430$	−2.30450	+	3.26240i	−0.111133	+	0.157327i
$431$	3.57148	+	3.21578i	0.172032	+	0.154899i	0.750649	−	0.660701i	$-0.229741\pi$
$431$	3.57148	+	3.21578i	0.172032	+	0.154899i	−0.578617	+	0.815599i	$0.696407\pi$
$432$	−14.0221	−	6.59721i	−0.674639	−	0.317409i
$433$	14.8683	+	7.57575i	0.714523	+	0.364067i	0.773159	−	0.634212i	$-0.218675\pi$
$433$	14.8683	+	7.57575i	0.714523	+	0.364067i	−0.0586366	+	0.998279i	$0.518675\pi$
$434$	26.6676	+	6.50857i	1.28009	+	0.312422i
$435$	−12.5163	+	12.2417i	−0.600111	+	0.586946i
$436$	−2.16774	−	20.6246i	−0.103816	−	0.987741i
$437$	−0.460740	−	0.568967i	−0.0220402	−	0.0272174i
$438$	2.20568	−	28.6733i	0.105391	−	1.37006i
$439$	−2.07002	+	0.217568i	−0.0987969	+	0.0103840i	−0.153798	−	0.988102i	$-0.549150\pi$
$439$	−2.07002	+	0.217568i	−0.0987969	+	0.0103840i	0.0550010	+	0.998486i	$0.482484\pi$
$440$	−8.59489	−	0.335686i	−0.409745	−	0.0160032i
$441$	−19.9461	−	6.56907i	−0.949815	−	0.312813i
$442$	17.2590	−	33.8726i	0.820925	−	1.61116i
$443$	14.2588	−	3.82062i	0.677454	−	0.181523i	0.0963439	−	0.995348i	$-0.469285\pi$
$443$	14.2588	−	3.82062i	0.677454	−	0.181523i	0.581110	+	0.813825i	$0.302618\pi$
$444$	18.8764	−	1.51916i	0.895836	−	0.0720964i
$445$	−11.7543	−	8.30300i	−0.557207	−	0.393600i
$446$	33.5299	−	30.1904i	1.58769	−	1.42956i
$447$	6.61584	+	1.94699i	0.312918	+	0.0920897i
$448$	6.64841	+	28.1590i	0.314108	+	1.33039i
$449$	25.1458			1.18670			0.593352	−	0.804943i	$-0.297804\pi$
$449$	25.1458			1.18670			0.593352	+	0.804943i	$0.297804\pi$
$450$	2.34862	−	31.4497i	0.110715	−	1.48255i
$451$	−11.5512	−	20.0073i	−0.543926	−	0.942108i
$452$	46.3171	−	17.7795i	2.17857	−	0.836275i
$453$	17.8547	−	17.0035i	0.838886	−	0.798895i
$454$	−29.2702	−	9.51045i	−1.37372	−	0.446348i
$455$	12.8746	−	9.03086i	0.603569	−	0.423373i
$456$	−0.354576	+	0.746776i	−0.0166045	+	0.0349710i
$457$	−36.0888	+	9.66997i	−1.68816	+	0.452342i	−0.969915	−	0.243444i	$-0.921723\pi$
$457$	−36.0888	+	9.66997i	−1.68816	+	0.452342i	−0.718249	+	0.695786i	$0.755056\pi$
$458$	13.6908	−	0.717506i	0.639730	−	0.0335268i
$459$	−25.5091	+	24.4655i	−1.19066	+	1.14195i
$460$	6.81598	−	2.72114i	0.317797	−	0.126874i
$461$	2.58397	+	3.55653i	0.120348	+	0.165644i	0.864940	−	0.501875i	$-0.167356\pi$
$461$	2.58397	+	3.55653i	0.120348	+	0.165644i	−0.744593	+	0.667519i	$0.767356\pi$
$462$	12.8760	+	39.8992i	0.599047	+	1.85628i
$463$	−0.206894	+	0.0327688i	−0.00961518	+	0.00152289i	−0.161240	−	0.986915i	$-0.551549\pi$
$463$	−0.206894	+	0.0327688i	−0.00961518	+	0.00152289i	0.151625	+	0.988438i	$0.451549\pi$
$464$	−1.40919	−	13.4076i	−0.0654200	−	0.622430i
$465$	17.9177	−	6.65092i	0.830912	−	0.308429i
$466$	3.64377	−	34.6682i	0.168794	−	1.60597i
$467$	−4.60629	+	2.99136i	−0.213154	+	0.138424i	−0.646800	−	0.762659i	$-0.723893\pi$
$467$	−4.60629	+	2.99136i	−0.213154	+	0.138424i	0.433647	+	0.901083i	$0.357227\pi$
$468$	14.3898	+	12.8649i	0.665170	+	0.594680i
$469$	−29.7384	−	10.6570i	−1.37319	−	0.492096i
$470$	19.2391	−	2.28165i	0.887432	−	0.105244i
$471$	−38.7769	−	0.946865i	−1.78675	−	0.0436292i
$472$	11.3461	+	7.36822i	0.522245	+	0.339150i
$473$	−1.32489	−	3.45145i	−0.0609185	−	0.158698i
$474$	11.9085	+	39.9431i	0.546975	+	1.83465i
$475$	2.69135	+	0.210550i	0.123487	+	0.00966069i
$476$	43.1661	+	5.84828i	1.97852	+	0.268055i
$477$	17.1222	+	1.73847i	0.783971	+	0.0795993i
$478$	22.8730	+	1.19872i	1.04618	+	0.0548282i
$479$	−11.4000	+	2.42313i	−0.520877	+	0.110716i	−0.460845	−	0.887481i	$-0.652454\pi$
$479$	−11.4000	+	2.42313i	−0.520877	+	0.110716i	−0.0600320	+	0.998196i	$0.519120\pi$
$480$	22.9032	+	21.0867i	1.04538	+	0.962473i
$481$	11.7451	+	2.49649i	0.535530	+	0.113830i
$482$	30.5224	−	30.5224i	1.39026	−	1.39026i
$483$	−4.14873	−	4.62618i	−0.188774	−	0.210498i
$484$	11.2894	−	15.5385i	0.513155	−	0.706297i
$485$	1.59693	−	6.29408i	0.0725129	−	0.285800i
$486$	−15.8925	−	28.6636i	−0.720896	−	1.30021i
$487$	−16.4649	+	13.3330i	−0.746097	+	0.604178i	−0.925123	−	0.379667i	$-0.876039\pi$
$487$	−16.4649	+	13.3330i	−0.746097	+	0.604178i	0.179026	+	0.983844i	$0.442705\pi$
$488$	1.17772	+	0.452086i	0.0533131	+	0.0204650i
$489$	−3.58559	−	0.465609i	−0.162146	−	0.0210556i
$490$	26.7357	+	19.1889i	1.20780	+	0.866864i
$491$	−10.9948	+	15.1330i	−0.496188	+	0.682944i	−0.981514	−	0.191389i	$-0.938701\pi$
$491$	−10.9948	+	15.1330i	−0.496188	+	0.682944i	0.485326	+	0.874333i	$0.338701\pi$
$492$	4.01748	−	21.8922i	0.181122	−	0.986975i
$493$	−29.7011	−	7.95840i	−1.33767	−	0.358428i
$494$	−2.01909	+	2.24243i	−0.0908432	+	0.100892i
$495$	22.9917	+	17.9852i	1.03340	+	0.808373i
$496$	−4.54780	+	13.9967i	−0.204202	+	0.628470i
$497$	10.8090	+	9.30236i	0.484851	+	0.417268i
$498$	−4.52748	−	5.87880i	−0.202881	−	0.263435i
$499$	13.7634	+	7.94633i	0.616136	+	0.355726i	0.775363	−	0.631516i	$-0.217567\pi$
$499$	13.7634	+	7.94633i	0.616136	+	0.355726i	−0.159227	+	0.987242i	$0.550900\pi$
$500$	−10.0102	+	25.1420i	−0.447672	+	1.12438i
$501$	−5.46565	+	22.9446i	−0.244187	+	1.02509i
$502$	6.47536	−	7.99640i	0.289009	−	0.356897i
$503$	−26.0411	+	13.2686i	−1.16111	+	0.591617i	−0.924947	−	0.380096i	$-0.875891\pi$
$503$	−26.0411	+	13.2686i	−1.16111	+	0.591617i	−0.236166	+	0.971713i	$0.575891\pi$
$504$	−2.68660	+	6.48181i	−0.119671	+	0.288723i
$505$	−6.72170	+	33.8335i	−0.299112	+	1.50557i
$506$	−2.57933	+	12.1348i	−0.114665	+	0.539457i
$507$	−5.38569	−	8.75390i	−0.239187	−	0.388774i
$508$	1.27138	+	24.2593i	0.0564083	+	1.07633i
$509$	−1.40148	+	0.623977i	−0.0621193	+	0.0276573i	−0.437561	−	0.899189i	$-0.644158\pi$
$509$	−1.40148	+	0.623977i	−0.0621193	+	0.0276573i	0.375442	+	0.926846i	$0.377491\pi$
$510$	49.6281	−	24.5974i	2.19757	−	1.08919i
$511$	20.8843	+	0.625532i	0.923866	+	0.0276719i
$512$	−28.8853	+	4.57498i	−1.27656	+	0.202187i
$513$	2.45837	−	1.35170i	0.108540	−	0.0596792i
$514$	13.9932	−	31.4293i	0.617215	−	1.38629i
$515$	4.24913	−	4.36389i	0.187239	−	0.192296i
$516$	1.18303	−	3.35963i	0.0520800	−	0.147899i
$517$	−8.14104	+	15.9777i	−0.358042	+	0.702698i
$518$	3.18600	+	24.9246i	0.139985	+	1.09512i
$519$	−32.6965	−	15.5246i	−1.43522	−	0.681455i
$520$	−2.68760	−	4.51505i	−0.117859	−	0.197998i
$521$	0.431551	+	2.03029i	0.0189066	+	0.0889485i	0.986589	−	0.163222i	$-0.0521888\pi$
$521$	0.431551	+	2.03029i	0.0189066	+	0.0889485i	−0.967683	+	0.252171i	$0.918855\pi$
$522$	14.1690	−	24.7429i	0.620159	−	1.08297i
$523$	4.06411	+	3.29105i	0.177711	+	0.143908i	0.714049	−	0.700096i	$-0.246859\pi$
$523$	4.06411	+	3.29105i	0.177711	+	0.143908i	−0.536338	+	0.844003i	$0.680193\pi$
$524$	−33.8460			−1.47857
$525$	22.9041	+	0.634839i	0.999616	+	0.0277067i
$526$	−27.3423			−1.19218
$527$	26.0865	+	21.1244i	1.13635	+	0.920194i
$528$	−21.8471	+	5.28587i	−0.950775	+	0.230038i
$529$	4.39967	+	20.6988i	0.191290	+	0.899949i
$530$	−24.7824	−	10.6405i	−1.07648	−	0.462195i
$531$	−16.6046	−	42.8039i	−0.720579	−	1.85753i
$532$	−3.18937	−	1.33516i	−0.138277	−	0.0578867i
$533$	6.40705	−	12.5745i	0.277520	−	0.544664i
$534$	22.1065	+	7.78440i	0.956641	+	0.336864i
$535$	−29.8105	−	14.6923i	−1.28882	−	0.635203i
$536$	−4.29308	+	9.64242i	−0.185433	+	0.416489i
$537$	9.22060	+	19.2438i	0.397898	+	0.830432i
$538$	45.0427	−	7.13407i	1.94193	−	0.307572i
$539$	−28.5184	+	10.7016i	−1.22837	+	0.460951i
$540$	5.63908	+	27.5520i	0.242667	+	1.18565i
$541$	35.6318	−	15.8643i	1.53193	−	0.682060i	0.544305	−	0.838887i	$-0.316793\pi$
$541$	35.6318	−	15.8643i	1.53193	−	0.682060i	0.987626	+	0.156827i	$0.0501266\pi$
$542$	1.43103	+	27.3057i	0.0614681	+	1.17288i
$543$	−6.25551	+	3.84860i	−0.268450	+	0.165159i
$544$	−11.3681	+	53.4828i	−0.487404	+	2.29305i
$545$	14.0654	−	13.0080i	0.602497	−	0.557203i
$546$	−16.1574	+	19.8714i	−0.691472	+	0.850419i
$547$	−20.3979	+	10.3933i	−0.872153	+	0.444384i	−0.831978	−	0.554808i	$-0.812792\pi$
$547$	−20.3979	+	10.3933i	−0.872153	+	0.444384i	−0.0401751	+	0.999193i	$0.512792\pi$
$548$	26.9214	−	33.2451i	1.15002	−	1.42016i
$549$	−2.34436	−	3.58222i	−0.100055	−	0.152885i
$550$	−25.9275	−	37.6871i	−1.10555	−	1.60698i
$551$	2.11367	+	1.22033i	0.0900454	+	0.0519877i
$552$	−1.64494	+	1.26683i	−0.0700132	+	0.0539198i
$553$	−28.5831	+	10.0009i	−1.21548	+	0.425282i
$554$	14.8346	−	45.6562i	0.630262	−	1.93975i
$555$	11.5614	+	13.1302i	0.490755	+	0.557347i
$556$	2.13742	−	2.37384i	0.0906467	−	0.100673i
$557$	−36.3574	−	9.74192i	−1.54051	−	0.412779i	−0.614080	−	0.789244i	$-0.710473\pi$
$557$	−36.3574	−	9.74192i	−1.54051	−	0.412779i	−0.926431	+	0.376465i	$0.877139\pi$
$558$	−25.1165	+	18.3842i	−1.06327	+	0.778263i
$559$	1.32746	−	1.82709i	0.0561456	−	0.0772778i
$560$	−11.3298	+	13.5252i	−0.478772	+	0.571545i
$561$	−6.60195	+	50.8406i	−0.278734	+	2.14649i
$562$	−10.9289	−	4.19520i	−0.461007	−	0.176964i
$563$	−15.8338	+	12.8220i	−0.667317	+	0.540383i	−0.902025	−	0.431683i	$-0.857920\pi$
$563$	−15.8338	+	12.8220i	−0.667317	+	0.540383i	0.234708	+	0.972066i	$0.424586\pi$
$564$	−15.9497	+	6.63962i	−0.671604	+	0.279578i
$565$	38.7679	+	24.4481i	1.63098	+	1.02854i
$566$	−30.7486	+	42.3218i	−1.29246	+	1.77892i
$567$	20.2617	−	12.5086i	0.850910	−	0.525312i
$568$	3.36923	−	3.36923i	0.141370	−	0.141370i
$569$	24.4457	+	5.19610i	1.02482	+	0.217832i	0.689510	−	0.724276i	$-0.257826\pi$
$569$	24.4457	+	5.19610i	1.02482	+	0.217832i	0.335309	+	0.942108i	$0.391159\pi$
$570$	−4.31026	+	0.866329i	−0.180537	+	0.0362865i
$571$	−12.3478	+	2.62460i	−0.516738	+	0.109836i	−0.458896	−	0.888490i	$-0.651755\pi$
$571$	−12.3478	+	2.62460i	−0.516738	+	0.109836i	−0.0578414	+	0.998326i	$0.518422\pi$
$572$	27.9591	+	1.46527i	1.16903	+	0.0612662i
$573$	14.9668	−	11.5265i	0.625247	−	0.481526i
$574$	29.2655	+	3.96498i	1.22152	+	0.165495i
$575$	5.78256	+	3.53985i	0.241149	+	0.147622i
$576$	−29.2839	−	14.7908i	−1.22016	−	0.616283i
$577$	−15.6572	−	40.7884i	−0.651817	−	1.69804i	−0.714156	−	0.699987i	$-0.753189\pi$
$577$	−15.6572	−	40.7884i	−0.651817	−	1.69804i	0.0623390	−	0.998055i	$-0.480144\pi$
$578$	51.6106	+	33.5163i	2.14672	+	1.39409i
$579$	−0.578071	+	23.6737i	−0.0240238	+	0.983847i
$580$	−17.9621	+	16.6118i	−0.745836	+	0.689766i
$581$	4.11247	−	3.48570i	0.170614	−	0.144611i
$582$	0.295501	+	10.5711i	0.0122489	+	0.438185i
$583$	20.9359	−	13.5959i	0.867075	−	0.563085i
$584$	0.729712	−	6.94275i	0.0301957	−	0.287293i
$585$	−1.56474	+	17.7630i	−0.0646941	+	0.734408i
$586$	−5.10991	−	48.6175i	−0.211088	−	2.00837i
$587$	28.4536	−	4.50661i	1.17441	−	0.186008i	0.461418	−	0.887183i	$-0.347341\pi$
$587$	28.4536	−	4.50661i	1.17441	−	0.186008i	0.712989	+	0.701175i	$0.247341\pi$
$588$	−27.6063	−	9.95523i	−1.13846	−	0.410547i
$589$	−1.56606	−	2.15550i	−0.0645285	−	0.0888158i
$590$	4.72239	+	71.7931i	0.194418	+	2.95568i
$591$	−2.72083	+	2.33213i	−0.111920	+	0.0959311i
$592$	−13.4531	+	0.705046i	−0.552918	+	0.0289772i
$593$	10.6420	−	2.85150i	0.437013	−	0.117097i	−0.0336036	−	0.999435i	$-0.510698\pi$
$593$	10.6420	−	2.85150i	0.437013	−	0.117097i	0.470616	+	0.882338i	$0.344032\pi$
$594$	−44.0161	−	17.9594i	−1.80600	−	0.736881i
$595$	19.5391	+	35.1803i	0.801025	+	1.44225i
$596$	9.16566	+	2.97810i	0.375440	+	0.121988i
$597$	7.02993	+	7.38184i	0.287716	+	0.302119i
$598$	−7.07510	+	2.71588i	−0.289322	+	0.111060i
$599$	−5.35247	−	9.27075i	−0.218696	−	0.378793i	0.735714	−	0.677293i	$-0.236847\pi$
$599$	−5.35247	−	9.27075i	−0.218696	−	0.378793i	−0.954410	+	0.298500i	$0.903514\pi$
$600$	0.783229	−	7.61549i	0.0319752	−	0.310901i
$601$	3.47913			0.141917			0.0709584	−	0.997479i	$-0.477394\pi$
$601$	3.47913			0.141917			0.0709584	+	0.997479i	$0.477394\pi$
$602$	4.52635	+	1.35931i	0.184480	+	0.0554015i
$603$	30.9575	−	18.0195i	1.26069	−	0.733810i
$604$	25.6052	−	23.0551i	1.04186	−	0.938097i
$605$	17.7420	−	0.236395i	0.721314	−	0.00961083i
$606$	−4.50656	−	55.9964i	−0.183067	−	2.27470i
$607$	1.08148	−	0.289781i	0.0438958	−	0.0117618i	−0.236804	−	0.971557i	$-0.576100\pi$
$607$	1.08148	−	0.289781i	0.0438958	−	0.0117618i	0.280700	+	0.959796i	$0.409433\pi$
$608$	1.97031	−	3.86694i	0.0799065	−	0.156825i
$609$	18.4387	+	9.44140i	0.747173	+	0.382585i
$610$	1.82260	+	6.45669i	0.0737950	+	0.261424i
$611$	−10.8943	+	1.14504i	−0.440737	+	0.0463233i
$612$	−36.5891	+	33.1798i	−1.47903	+	1.34121i
$613$	−8.65030	−	10.6822i	−0.349382	−	0.431451i	0.571913	−	0.820314i	$-0.306201\pi$
$613$	−8.65030	−	10.6822i	−0.349382	−	0.431451i	−0.921296	+	0.388863i	$0.872868\pi$
$614$	−4.57596	−	43.5373i	−0.184671	−	1.75702i
$615$	18.4234	−	9.13129i	0.742905	−	0.368209i
$616$	2.85378	+	9.76907i	0.114982	+	0.393607i
$617$	30.1751	+	15.3750i	1.21480	+	0.618973i	0.939554	−	0.342400i	$-0.111240\pi$
$617$	30.1751	+	15.3750i	1.21480	+	0.618973i	0.275249	+	0.961373i	$0.411240\pi$
$618$	−4.71775	+	8.72574i	−0.189776	+	0.351001i
$619$	35.9817	+	32.3980i	1.44623	+	1.30219i	0.877427	+	0.479710i	$0.159258\pi$
$619$	35.9817	+	32.3980i	1.44623	+	1.30219i	0.568798	+	0.822477i	$0.307408\pi$
$620$	25.2890	−	8.59103i	1.01563	−	0.345024i
$621$	7.04250	−	0.221768i	0.282606	−	0.00889925i
$622$	27.8416	−	14.1860i	1.11635	−	0.568807i
$623$	−4.89755	+	16.3082i	−0.196216	+	0.653375i
$624$	−9.97677	−	9.43416i	−0.399390	−	0.377669i
$625$	−24.1421	+	6.49301i	−0.965684	+	0.259720i
$626$	−47.3628	+	27.3449i	−1.89300	+	1.09292i
$627$	1.55061	−	3.76229i	0.0619254	−	0.150251i
$628$	−54.1307	−	2.83687i	−2.16005	−	0.113203i
$629$	−9.49497	+	29.2225i	−0.378589	+	1.16518i
$630$	−36.1673	+	9.18543i	−1.44094	+	0.365956i
$631$	−11.4622	−	35.2770i	−0.456302	−	1.40435i	−0.869600	−	0.493758i	$-0.835623\pi$
$631$	−11.4622	−	35.2770i	−0.456302	−	1.40435i	0.413297	−	0.910596i	$-0.364377\pi$
$632$	2.61871	+	9.77315i	0.104167	+	0.388755i
$633$	2.61212	+	2.22299i	0.103823	+	0.0883561i
$634$	63.8854	+	6.71462i	2.53721	+	0.266672i
$635$	−17.2511	+	14.3544i	−0.684587	+	0.569635i
$636$	23.8502	+	3.09708i	0.945721	+	0.122807i
$637$	−14.9709	−	11.0501i	−0.593170	−	0.437823i
$638$	−6.46968	−	40.8479i	−0.256137	−	1.61719i
$639$	−15.9621	+	2.58598i	−0.631449	+	0.102300i
$640$	11.0794	+	10.7881i	0.437953	+	0.426435i
$641$	11.0757	+	1.16411i	0.437466	+	0.0459795i	0.320702	−	0.947180i	$-0.396081\pi$
$641$	11.0757	+	1.16411i	0.437466	+	0.0459795i	0.116764	+	0.993160i	$0.462748\pi$
$642$	53.2360	+	9.76947i	2.10106	+	0.385570i
$643$	8.86643	−	8.86643i	0.349658	−	0.349658i	−0.510324	−	0.859982i	$-0.670475\pi$
$643$	8.86643	−	8.86643i	0.349658	−	0.349658i	0.859982	+	0.510324i	$0.170475\pi$
$644$	−5.61474	−	6.62433i	−0.221252	−	0.261035i
$645$	3.14053	−	0.982052i	0.123658	−	0.0386683i
$646$	−5.16673	−	5.73823i	−0.203282	−	0.225768i
$647$	−0.734449	+	1.13095i	−0.0288742	+	0.0444623i	−0.852813	−	0.522217i	$-0.825105\pi$
$647$	−0.734449	+	1.13095i	−0.0288742	+	0.0444623i	0.823939	+	0.566679i	$0.191772\pi$
$648$	−3.66195	−	7.06314i	−0.143855	−	0.277466i
$649$	−57.6723	−	33.2971i	−2.26383	−	1.30703i
$650$	10.6817	−	25.8220i	0.418971	−	1.01282i
$651$	−14.1963	−	17.6027i	−0.556396	−	0.689904i
$652$	−4.99054	−	0.790424i	−0.195445	−	0.0309554i
$653$	2.23727	−	42.6896i	0.0875511	−	1.67057i	−0.503542	−	0.863971i	$-0.667970\pi$
$653$	2.23727	−	42.6896i	0.0875511	−	1.67057i	0.591093	−	0.806603i	$-0.298696\pi$
$654$	−16.2555	+	26.6320i	−0.635639	+	1.04139i
$655$	−18.7141	−	25.0490i	−0.731219	−	0.978744i
$656$	−3.29197	+	15.4875i	−0.128530	+	0.604685i
$657$	−15.7902	+	17.6619i	−0.616034	+	0.689055i
$658$	−9.79089	−	20.7274i	−0.381688	−	0.808039i
$659$	7.39641	+	5.37380i	0.288123	+	0.209334i	0.722453	−	0.691420i	$-0.243015\pi$
$659$	7.39641	+	5.37380i	0.288123	+	0.209334i	−0.434330	+	0.900754i	$0.643015\pi$
$660$	31.4148	+	26.0213i	1.22282	+	1.01288i
$661$	28.7748	+	12.8114i	1.11921	+	0.498304i	0.881098	−	0.472934i	$-0.156805\pi$
$661$	28.7748	+	12.8114i	1.11921	+	0.498304i	0.238111	+	0.971238i	$0.423472\pi$
$662$	−16.3847	−	20.2334i	−0.636808	−	0.786392i
$663$	−28.2434	+	13.5327i	−1.09688	+	0.525566i
$664$	−1.05874	−	1.45723i	−0.0410870	−	0.0565514i
$665$	−0.775322	−	3.09865i	−0.0300657	−	0.120160i
$666$	−23.9499	−	15.4332i	−0.928039	−	0.598024i
$667$	3.33850	+	5.14084i	0.129267	+	0.199054i
$668$	−8.53095	+	31.8379i	−0.330072	+	1.23185i
$669$	−37.0496	+	2.98173i	−1.43242	+	0.115280i
$670$	−54.7465	+	12.4013i	−2.11504	+	0.479104i
$671$	−5.90583	−	1.91892i	−0.227992	−	0.0740791i
$672$	15.0497	−	33.6214i	0.580555	−	1.29697i
$673$	−3.05975	+	19.3185i	−0.117945	+	0.744674i	0.855846	+	0.517230i	$0.173037\pi$
$673$	−3.05975	+	19.3185i	−0.117945	+	0.744674i	−0.973791	+	0.227444i	$0.926963\pi$
$674$	−15.2300	+	26.3791i	−0.586637	+	1.01609i
$675$	−17.2729	+	19.4074i	−0.664834	+	0.746991i
$676$	−7.18146	−	12.4387i	−0.276210	−	0.478410i
$677$	29.1053	+	23.5690i	1.11861	+	0.905829i	0.996238	−	0.0866559i	$-0.0276181\pi$
$677$	29.1053	+	23.5690i	1.11861	+	0.905829i	0.122367	+	0.992485i	$0.460951\pi$
$678$	−71.6061	−	21.0732i	−2.75002	−	0.809310i
$679$	−7.66176	+	0.573989i	−0.294031	+	0.0220277i
$680$	12.2093	−	5.63203i	0.468206	−	0.215978i
$681$	14.3975	+	20.8695i	0.551715	+	0.799720i
$682$	−11.6850	+	43.6092i	−0.447443	+	1.66988i
$683$	−21.9918	+	1.15254i	−0.841493	+	0.0441008i	−0.468210	−	0.883617i	$-0.655101\pi$
$683$	−21.9918	+	1.15254i	−0.841493	+	0.0441008i	−0.373282	+	0.927718i	$0.621768\pi$
$684$	3.48689	−	1.79220i	0.133325	−	0.0685267i
$685$	39.4896	+	1.54232i	1.50882	+	0.0589291i
$686$	11.4800	−	37.2079i	0.438307	−	1.42060i
$687$	−9.31907	−	6.38061i	−0.355545	−	0.243435i
$688$	−0.908025	+	2.36549i	−0.0346181	+	0.0901833i
$689$	13.9310	+	6.20249i	0.530729	+	0.236296i
$690$	−10.6332	−	2.97593i	−0.404799	−	0.113292i
$691$	40.1382	−	17.8707i	1.52693	−	0.679833i	0.540101	−	0.841600i	$-0.318386\pi$
$691$	40.1382	−	17.8707i	1.52693	−	0.679833i	0.986829	+	0.161767i	$0.0517193\pi$
$692$	−45.0677	−	22.9631i	−1.71322	−	0.872928i
$693$	11.5367	−	32.5549i	0.438244	−	1.23666i
$694$	8.28053	−	2.69051i	0.314324	−	0.102130i
$695$	2.93866	+	0.269334i	0.111470	+	0.0102164i
$696$	3.60600	−	5.90785i	0.136685	−	0.223937i
$697$	30.2874	+	19.6689i	1.14722	+	0.745012i
$698$	16.7746	−	20.7149i	0.634928	−	0.784071i
$699$	−19.7309	+	20.8657i	−0.746290	+	0.789213i
$700$	31.9700	+	1.78119i	1.20835	+	0.0673225i
$701$		−	16.0468i		−	0.606079i	−0.952978	−	0.303039i	$-0.901999\pi$
$701$		−	16.0468i		−	0.606079i	0.952978	−	0.303039i	$-0.0980013\pi$
$702$	−5.44345	−	28.5257i	−0.205450	−	1.07663i
$703$	1.32830	−	2.04541i	0.0500979	−	0.0771441i
$704$	−46.5465	+	9.89376i	−1.75429	+	0.372885i
$705$	−13.7328	−	8.13300i	−0.517206	−	0.306307i
$706$	18.2371	+	56.1281i	0.686364	+	2.11241i
$707$	40.4853	−	5.17507i	1.52261	−	0.194628i
$708$	−21.5236	−	60.4413i	−0.808907	−	2.27152i
$709$	8.03831	+	18.0543i	0.301885	+	0.678045i	0.999252	−	0.0386693i	$-0.0123119\pi$
$709$	8.03831	+	18.0543i	0.301885	+	0.678045i	−0.697367	+	0.716714i	$0.745645\pi$
$710$	25.0789	+	3.63030i	0.941195	+	0.136243i
$711$	12.1919	−	32.0995i	0.457231	−	1.20382i
$712$	5.31143	+	2.03887i	0.199054	+	0.0764098i
$713$	−1.04679	−	6.60916i	−0.0392025	−	0.247515i
$714$	−46.2494	−	46.4345i	−1.73084	−	1.73777i
$715$	14.3747	+	21.5023i	0.537582	+	0.804141i
$716$	12.1288	+	27.2418i	0.453276	+	1.01808i
$717$	−14.3696	−	12.2290i	−0.536642	−	0.456699i
$718$	29.5394	+	7.91507i	1.10240	+	0.295388i
$719$	−25.9637	−	5.51876i	−0.968283	−	0.205815i	−0.303484	−	0.952837i	$-0.598150\pi$
$719$	−25.9637	−	5.51876i	−0.968283	−	0.205815i	−0.664800	+	0.747022i	$0.731483\pi$
$720$	−3.46224	−	19.7041i	−0.129030	−	0.734328i
$721$	−6.49304	−	3.12707i	−0.241813	−	0.116458i
$722$	−17.8574	−	35.0472i	−0.664585	−	1.30432i
$723$	−35.2474	+	4.70377i	−1.31087	+	0.174935i
$724$	−8.88863	+	5.13185i	−0.330343	+	0.190724i
$725$	−22.2257	−	4.10857i	−0.825443	−	0.152588i
$726$	−27.6923	+	8.25606i	−1.02776	+	0.306411i
$727$	9.54388	+	1.51160i	0.353963	+	0.0560622i	0.330884	−	0.943671i	$-0.392653\pi$
$727$	9.54388	+	1.51160i	0.353963	+	0.0560622i	0.0230789	+	0.999734i	$0.492653\pi$
$728$	−4.05545	+	4.71230i	−0.150305	+	0.174649i
$729$	−3.94084	+	26.7109i	−0.145957	+	0.989291i
$730$	31.9023	−	18.9899i	1.18076	−	0.702849i
$731$	4.29473	+	3.86700i	0.158846	+	0.143026i
$732$	−3.13496	−	5.09556i	−0.115871	−	0.188337i
$733$	−5.35081	+	3.47486i	−0.197637	+	0.128347i	−0.639663	−	0.768655i	$-0.720926\pi$
$733$	−5.35081	+	3.47486i	−0.197637	+	0.128347i	0.442027	+	0.897002i	$0.354260\pi$
$734$	−4.66109	−	3.38648i	−0.172044	−	0.124997i
$735$	−7.89628	−	25.9355i	−0.291259	−	0.956644i
$736$	8.81821	−	6.40680i	0.325043	−	0.236158i
$737$	18.6195	−	48.5054i	0.685857	−	1.78672i
$738$	−24.8065	+	22.4951i	−0.913140	+	0.828055i
$739$	4.90442	−	11.0155i	0.180412	−	0.405212i	−0.800589	−	0.599214i	$-0.795480\pi$
$739$	4.90442	−	11.0155i	0.180412	−	0.405212i	0.981001	+	0.194001i	$0.0621466\pi$
$740$	15.6375	+	18.7931i	0.574846	+	0.690849i
$741$	2.44341	−	0.457325i	0.0897608	−	0.0168002i
$742$	−2.62346	+	31.8035i	−0.0963102	+	1.16754i
$743$	−4.90750	−	4.90750i	−0.180039	−	0.180039i	0.611334	−	0.791373i	$-0.290633\pi$
$743$	−4.90750	−	4.90750i	−0.180039	−	0.180039i	−0.791373	+	0.611334i	$0.790633\pi$
$744$	−6.21934	+	4.29063i	−0.228012	+	0.157302i
$745$	2.86380	+	8.43003i	0.104922	+	0.308853i
$746$	5.28649	+	24.8710i	0.193552	+	0.910590i
$747$	0.0215970	+	6.11275i	0.000790193	+	0.223654i
$748$	−11.2075	+	70.7617i	−0.409789	+	2.58730i
$749$	−5.27944	+	38.9675i	−0.192907	+	1.42384i
$750$	34.9388	−	20.9033i	1.27579	−	0.763280i
$751$	−3.53399	+	6.12106i	−0.128957	+	0.223360i	−0.923273	−	0.384145i	$-0.874496\pi$
$751$	−3.53399	+	6.12106i	−0.128957	+	0.223360i	0.794316	+	0.607505i	$0.207830\pi$
$752$	11.4737	−	4.40434i	0.418402	−	0.160610i
$753$	−8.23884	+	1.99337i	−0.300240	+	0.0726424i
$754$	18.7749	−	16.9050i	0.683740	−	0.615642i
$755$	31.2204	+	6.20254i	1.13622	+	0.225734i
$756$	28.7920	−	16.6821i	1.04716	−	0.606723i
$757$	−21.5659	−	21.5659i	−0.783826	−	0.783826i	0.196649	−	0.980474i	$-0.436994\pi$
$757$	−21.5659	−	21.5659i	−0.783826	−	0.783826i	−0.980474	+	0.196649i	$0.936994\pi$
$758$	−33.8884	−	52.1835i	−1.23088	−	1.89539i
$759$	7.75969	−	6.65114i	0.281659	−	0.241421i
$760$	−1.05178	+	0.180982i	−0.0381521	+	0.00656489i
$761$	27.6918	−	2.91052i	1.00383	−	0.105506i	0.411672	−	0.911332i	$-0.364945\pi$
$761$	27.6918	−	2.91052i	1.00383	−	0.105506i	0.592153	+	0.805826i	$0.298278\pi$
$762$	20.6482	−	30.1573i	0.748004	−	1.09248i
$763$	−19.8807	−	10.8914i	−0.719729	−	0.394295i
$764$	21.3573	−	15.5170i	0.772679	−	0.561384i
$765$	−44.7867	−	8.73341i	−1.61927	−	0.315757i
$766$	−4.50331	+	42.8461i	−0.162711	+	1.54809i
$767$	−2.12907	−	40.6250i	−0.0768762	−	1.46689i
$768$	11.1700	+	6.03930i	0.403063	+	0.217924i
$769$	24.2320	−	7.87344i	0.873827	−	0.283923i	0.162435	−	0.986719i	$-0.448065\pi$
$769$	24.2320	−	7.87344i	0.873827	−	0.283923i	0.711392	+	0.702796i	$0.248065\pi$
$770$	−32.5375	+	43.2537i	−1.17257	+	1.55875i
$771$	−24.8836	+	13.5676i	−0.896160	+	0.488627i
$772$	−1.73194	+	33.0474i	−0.0623339	+	1.18940i
$773$	1.78122	+	4.64023i	0.0640659	+	0.166897i	0.961876	−	0.273485i	$-0.0881763\pi$
$773$	1.78122	+	4.64023i	0.0640659	+	0.166897i	−0.897810	+	0.440382i	$0.854843\pi$
$774$	−4.48396	+	2.93449i	−0.161173	+	0.105478i
$775$	20.3408	+	13.9659i	0.730665	+	0.501670i
$776$			2.56712i			0.0921543i
$777$	10.3859	−	17.9062i	0.372591	−	0.642380i
$778$	31.0978	+	61.0328i	1.11491	+	2.18813i
$779$	−1.91805	−	2.13021i	−0.0687211	−	0.0763225i
$780$	−2.87941	+	24.7520i	−0.103100	+	0.886265i
$781$	−15.6942	+	17.4302i	−0.561582	+	0.623700i
$782$	−5.01922	−	18.7320i	−0.179487	−	0.669855i
$783$	−21.6530	+	9.10373i	−0.773817	+	0.325341i
$784$	19.4327	+	7.62783i	0.694026	+	0.272423i
$785$	−27.8303	−	41.6300i	−0.993306	−	1.48584i
$786$	40.4538	+	30.9279i	1.44294	+	1.10316i
$787$	−2.83129	+	2.29274i	−0.100925	+	0.0817272i	−0.678455	−	0.734642i	$-0.737350\pi$
$787$	−2.83129	+	2.29274i	−0.100925	+	0.0817272i	0.577530	+	0.816369i	$0.304017\pi$
$788$	−3.89180	+	3.15152i	−0.138640	+	0.112268i
$789$	17.8944	+	13.6807i	0.637056	+	0.487045i
$790$	−33.3031	+	42.2651i	−1.18487	+	1.50373i
$791$	12.8582	−	52.6838i	0.457183	−	1.87322i
$792$	−10.5589	−	4.65648i	−0.375193	−	0.165461i
$793$	−0.981801	−	3.66413i	−0.0348648	−	0.130117i
$794$	0.373949	−	0.415313i	0.0132710	−	0.0147389i
$795$	10.8951	+	19.3636i	0.386409	+	0.686757i
$796$	9.53189	+	10.5862i	0.337849	+	0.375219i
$797$	11.0044	+	21.5974i	0.389796	+	0.765019i	0.999621	−	0.0275176i	$-0.00876023\pi$
$797$	11.0044	+	21.5974i	0.389796	+	0.765019i	−0.609825	+	0.792536i	$0.708760\pi$
$798$	2.59198	+	4.51022i	0.0917552	+	0.159660i
$799$		−	28.0314i		−	0.991681i
$800$	−5.22743	+	39.8499i	−0.184818	+	1.40891i
$801$	−10.5728	−	16.1555i	−0.373573	−	0.570827i
$802$	−3.92005	−	10.2121i	−0.138422	−	0.360601i
$803$	−1.79846	+	34.3166i	−0.0634661	+	1.21101i
$804$	43.9483	−	23.9626i	1.54994	−	0.845097i
$805$	1.79809	−	7.81810i	0.0633744	−	0.275552i
$806$	−26.2297	+	8.52254i	−0.923902	+	0.300194i
$807$	−33.0481	−	17.8681i	−1.16335	−	0.628988i
$808$	−0.713708	−	13.6184i	−0.0251081	−	0.479092i
$809$	2.54404	−	24.2049i	0.0894436	−	0.850999i	−0.854180	−	0.519978i	$-0.825940\pi$
$809$	2.54404	−	24.2049i	0.0894436	−	0.850999i	0.943623	−	0.331021i	$-0.107393\pi$
$810$	18.4365	−	38.0838i	0.647793	−	1.33813i
$811$	2.93541	−	2.13270i	0.103076	−	0.0748891i	−0.535053	−	0.844818i	$-0.679708\pi$
$811$	2.93541	−	2.13270i	0.103076	−	0.0748891i	0.638129	+	0.769929i	$0.279708\pi$
$812$	25.3884	+	13.9087i	0.890958	+	0.488101i
$813$	12.7258	−	18.5865i	0.446315	−	0.651856i
$814$	−41.1005	+	4.31983i	−1.44057	+	0.151410i
$815$	−2.17438	−	4.13047i	−0.0761652	−	0.144684i
$816$	26.6778	−	22.8666i	0.933909	−	0.800491i
$817$	−0.249833	−	0.384708i	−0.00874053	−	0.0134592i
$818$	−4.56891	−	4.56891i	−0.159748	−	0.159748i
$819$	20.5170	−	4.92069i	0.716921	−	0.171943i
$820$	26.0923	−	12.0361i	0.911184	−	0.420320i
$821$	1.29035	−	1.16184i	0.0450335	−	0.0405484i	−0.646307	−	0.763078i	$-0.723687\pi$
$821$	1.29035	−	1.16184i	0.0450335	−	0.0405484i	0.691340	+	0.722529i	$0.257021\pi$
$822$	−62.5560	+	15.1353i	−2.18189	+	0.527904i
$823$	34.5015	−	13.2439i	1.20265	−	0.461653i	0.327194	−	0.944957i	$-0.393897\pi$
$823$	34.5015	−	13.2439i	1.20265	−	0.461653i	0.875452	+	0.483304i	$0.160564\pi$
$824$	−1.20397	+	2.08534i	−0.0419423	+	0.0726462i
$825$	−1.88822	+	37.6374i	−0.0657394	+	1.31036i
$826$	78.7722	−	32.2818i	2.74084	−	1.12323i
$827$	1.13221	−	7.14852i	0.0393710	−	0.248579i	−0.960151	−	0.279480i	$-0.909838\pi$
$827$	1.13221	−	7.14852i	0.0393710	−	0.248579i	0.999522	+	0.0309017i	$0.00983787\pi$
$828$	9.84635	−	0.0347882i	0.342184	−	0.00120897i
$829$	−1.12803	−	5.30695i	−0.0391780	−	0.184318i	0.954207	−	0.299146i	$-0.0967017\pi$
$829$	−1.12803	−	5.30695i	−0.0391780	−	0.184318i	−0.993385	+	0.114828i	$0.963368\pi$
$830$	2.83854	−	9.14914i	0.0985272	−	0.317571i
$831$	−32.5527	+	22.4576i	−1.12924	+	0.779045i
$832$	−20.5551	−	20.5551i	−0.712621	−	0.712621i
$833$	32.1262	−	35.1441i	1.11311	−	1.21767i
$834$	−4.72388	+	0.884154i	−0.163575	+	0.0306157i
$835$	−28.2798	+	11.2901i	−0.978661	+	0.390711i
$836$	2.31296	−	5.19500i	0.0799955	−	0.179673i
$837$	25.6362	+	0.535369i	0.886116	+	0.0185051i
$838$	−25.8684	+	67.3895i	−0.893610	+	2.32793i
$839$	20.5003	−	14.8943i	0.707749	−	0.514210i	−0.174698	−	0.984622i	$-0.555895\pi$
$839$	20.5003	−	14.8943i	0.707749	−	0.514210i	0.882447	+	0.470412i	$0.155895\pi$
$840$	−8.83845	+	1.98356i	−0.304956	+	0.0684393i
$841$	6.92961	+	5.03466i	0.238952	+	0.173609i
$842$	−58.7954	+	38.1822i	−2.02622	+	1.31585i
$843$	5.05342	+	8.21383i	0.174049	+	0.282899i
$844$	3.56208	+	3.20731i	0.122612	+	0.110400i
$845$	5.23493	−	12.1925i	0.180087	−	0.419434i
$846$	25.1307	+	6.63869i	0.864013	+	0.228243i
$847$	−6.93356	−	19.8165i	−0.238240	−	0.680902i
$848$	−16.8981	−	2.67640i	−0.580283	−	0.0919078i
$849$	41.2993	−	12.3128i	1.41739	−	0.422575i
$850$	62.8578	+	34.0910i	2.15600	+	1.16931i
$851$	5.30463	−	3.06263i	0.181840	−	0.104986i
$852$	−22.3984	+	2.98907i	−0.767358	+	0.102404i
$853$	−20.0597	−	39.3693i	−0.686830	−	1.34798i	−0.926193	−	0.377050i	$-0.876939\pi$
$853$	−20.0597	−	39.3693i	−0.686830	−	1.34798i	0.239363	−	0.970930i	$-0.423061\pi$
$854$	6.55896	−	4.47160i	0.224443	−	0.153015i
$855$	3.25435	+	1.58966i	0.111296	+	0.0543652i
$856$	12.8517	+	2.73171i	0.439262	+	0.0933679i
$857$	13.8586	+	3.71340i	0.473401	+	0.126847i	0.487628	−	0.873051i	$-0.337862\pi$
$857$	13.8586	+	3.71340i	0.473401	+	0.126847i	−0.0142274	+	0.999899i	$0.504529\pi$
$858$	−32.0786	−	27.2999i	−1.09515	−	0.932002i
$859$	−8.32035	−	18.6878i	−0.283887	−	0.637620i	0.714167	−	0.699975i	$-0.246806\pi$
$859$	−8.32035	−	18.6878i	−0.283887	−	0.637620i	−0.998054	+	0.0623551i	$0.980139\pi$
$860$	4.42537	−	1.24920i	0.150904	−	0.0425973i
$861$	−17.1692	−	17.2379i	−0.585124	−	0.587465i
$862$	−1.58067	−	9.97995i	−0.0538378	−	0.339918i
$863$	21.1840	+	8.13178i	0.721112	+	0.276809i	0.691119	−	0.722741i	$-0.257118\pi$
$863$	21.1840	+	8.13178i	0.721112	+	0.276809i	0.0299931	+	0.999550i	$0.490451\pi$
$864$	18.1812	+	37.6034i	0.618536	+	1.27929i
$865$	−7.92403	−	46.0507i	−0.269425	−	1.56577i
$866$	−14.2701	−	32.0511i	−0.484916	−	1.08914i
$867$	−17.0071	−	47.7583i	−0.577591	−	1.62196i
$868$	−19.1435	−	25.1436i	−0.649772	−	0.853430i
$869$	−15.3906	−	47.3674i	−0.522090	−	1.60683i
$870$	36.6484	−	3.44144i	1.24250	−	0.116676i
$871$	31.0453	−	6.59888i	1.05193	−	0.223595i
$872$	−4.12511	+	6.35211i	−0.139694	+	0.215110i
$873$	5.09583	−	7.06617i	0.172468	−	0.239154i
$874$			1.53928i			0.0520669i
$875$	16.3586	+	24.6454i	0.553020	+	0.833168i
$876$	−22.7470	+	24.0553i	−0.768551	+	0.812755i
$877$	−32.0832	+	39.6195i	−1.08337	+	1.33786i	−0.146097	+	0.989270i	$0.546671\pi$
$877$	−32.0832	+	39.6195i	−1.08337	+	1.33786i	−0.937277	+	0.348585i	$0.886662\pi$
$878$	3.67017	+	2.38343i	0.123862	+	0.0804370i
$879$	−20.9815	+	34.3748i	−0.707688	+	1.15943i
$880$	−21.8216	−	19.1280i	−0.735606	−	0.644805i
$881$	−14.9959	+	4.87247i	−0.505225	+	0.164158i	−0.550530	−	0.834816i	$-0.685574\pi$
$881$	−14.9959	+	4.87247i	−0.505225	+	0.164158i	0.0453046	+	0.998973i	$0.485574\pi$
$882$	23.8990	+	37.1249i	0.804720	+	1.25006i
$883$	−21.9928	−	11.2059i	−0.740116	−	0.377108i	0.0429251	−	0.999078i	$-0.486332\pi$
$883$	−21.9928	−	11.2059i	−0.740116	−	0.377108i	−0.783041	+	0.621971i	$0.786332\pi$
$884$	−39.9817	+	17.8010i	−1.34473	+	0.598712i
$885$	32.8310	−	49.3484i	1.10360	−	1.65883i
$886$	−28.3532	−	12.6236i	−0.952543	−	0.424100i
$887$	21.1707	−	55.1516i	0.710844	−	1.85181i	0.235958	−	0.971763i	$-0.424177\pi$
$887$	21.1707	−	55.1516i	0.710844	−	1.85181i	0.474885	−	0.880048i	$-0.342490\pi$
$888$	−5.70686	−	3.90739i	−0.191510	−	0.131123i
$889$	22.5885	+	13.9594i	0.757593	+	0.468185i
$890$	8.21978	+	29.1191i	0.275528	+	0.976076i
$891$	19.8207	+	33.7770i	0.664019	+	1.13157i
$892$	−51.8712	+	2.71845i	−1.73678	+	0.0910206i
$893$	−0.575863	+	2.14915i	−0.0192705	+	0.0719186i
$894$	−8.23374	−	11.9349i	−0.275377	−	0.399164i
$895$	−13.4551	+	24.0389i	−0.449753	+	0.803532i
$896$	7.93928	−	16.4851i	0.265233	−	0.550728i
$897$	5.98924	+	1.76259i	0.199975	+	0.0588512i
$898$	−41.0868	−	33.2714i	−1.37108	−	1.11028i
$899$	11.1537	+	19.3188i	0.371996	+	0.644316i
$900$	−24.8864	+	26.4358i	−0.829547	+	0.881193i
$901$	−19.5111	+	33.7942i	−0.650009	+	1.12585i
$902$	−7.59843	+	47.9746i	−0.253000	+	1.59738i
$903$	−2.28217	−	3.15436i	−0.0759459	−	0.104971i
$904$	−17.2326	−	5.59921i	−0.573147	−	0.186227i
$905$	−8.71270	−	3.74086i	−0.289620	−	0.124350i
$906$	−51.6715	+	4.15849i	−1.71667	+	0.138157i
$907$	−0.808642	+	3.01789i	−0.0268505	+	0.100207i	−0.978051	−	0.208367i	$-0.933185\pi$
$907$	−0.808642	+	3.01789i	−0.0268505	+	0.100207i	0.951200	+	0.308574i	$0.0998519\pi$
$908$	19.2971	+	29.7149i	0.640395	+	0.986122i
$909$	−25.0684	+	38.9021i	−0.831466	+	1.29030i
$910$	−32.9853	−	2.27894i	−1.09345	−	0.0755462i
$911$	3.41440	+	4.69952i	0.113124	+	0.155702i	0.861825	−	0.507206i	$-0.169322\pi$
$911$	3.41440	+	4.69952i	0.113124	+	0.155702i	−0.748700	+	0.662908i	$0.769322\pi$
$912$	−2.51512	+	1.20511i	−0.0832841	+	0.0399052i
$913$	5.57987	+	6.89056i	0.184667	+	0.228044i
$914$	71.7617	+	31.9504i	2.37366	+	1.05682i
$915$	2.03778	−	5.13757i	0.0673670	−	0.169843i
$916$	−12.7687	−	9.27699i	−0.421889	−	0.306520i
$917$	−21.0696	+	30.4106i	−0.695779	+	1.00425i
$918$	74.0515	−	6.22303i	2.44407	−	0.205391i
$919$	5.00958	−	23.5682i	0.165251	−	0.777445i	−0.814964	−	0.579511i	$-0.803244\pi$
$919$	5.00958	−	23.5682i	0.165251	−	0.777445i	0.980215	−	0.197934i	$-0.0634231\pi$
$920$	−2.56000	−	0.794248i	−0.0844009	−	0.0261856i
$921$	−18.7891	+	30.7829i	−0.619121	+	1.01433i
$922$	0.483730	−	9.23011i	0.0159308	−	0.303978i
$923$	−14.1514	−	2.24137i	−0.465800	−	0.0737755i
$924$	17.3869	−	45.0255i	0.571988	−	1.48123i
$925$	−5.26229	+	21.9642i	−0.173023	+	0.722177i
$926$	0.381410	+	0.220207i	0.0125339	+	0.00723646i
$927$	7.45348	−	3.35011i	0.244804	−	0.110032i
$928$	−19.7904	+	30.4745i	−0.649650	+	1.00037i
$929$	8.51858	+	9.46084i	0.279485	+	0.310400i	0.866501	−	0.499176i	$-0.166364\pi$
$929$	8.51858	+	9.46084i	0.279485	+	0.310400i	−0.587015	+	0.809576i	$0.699697\pi$
$930$	−38.0765	−	12.8404i	−1.24858	−	0.421052i
$931$	−3.18507	+	2.03449i	−0.104387	+	0.0666777i
$932$	−28.3769	+	28.3769i	−0.929516	+	0.929516i
$933$	−25.3191	−	4.64637i	−0.828910	−	0.152115i
$934$	11.4844	+	1.20706i	0.375780	+	0.0394961i
$935$	−58.5666	+	30.8308i	−1.91533	+	1.00828i
$936$	−1.12738	−	6.95880i	−0.0368497	−	0.227456i
$937$	−0.185132	−	1.16888i	−0.00604799	−	0.0381855i	0.984480	−	0.175498i	$-0.0561536\pi$
$937$	−0.185132	−	1.16888i	−0.00604799	−	0.0381855i	−0.990528	+	0.137312i	$0.956154\pi$
$938$	34.4900	+	56.7609i	1.12614	+	1.85331i
$939$	44.6789	+	5.80182i	1.45804	+	0.189335i
$940$	−18.8658	−	11.8973i	−0.615334	−	0.388046i
$941$	−33.2696	−	3.49677i	−1.08456	−	0.113991i	−0.454656	−	0.890667i	$-0.650238\pi$
$941$	−33.2696	−	3.49677i	−1.08456	−	0.113991i	−0.629901	+	0.776676i	$0.716904\pi$
$942$	62.1064	+	52.8544i	2.02353	+	1.72209i
$943$	−1.86329	−	6.95389i	−0.0606770	−	0.226450i
$944$	14.1038	+	43.4071i	0.459041	+	1.41278i
$945$	28.2659	+	12.0848i	0.919488	+	0.393117i
$946$	−2.40196	+	7.39248i	−0.0780945	+	0.240350i
$947$	−17.2226	−	0.902596i	−0.559658	−	0.0293304i	−0.229590	−	0.973287i	$-0.573738\pi$
$947$	−17.2226	−	0.902596i	−0.559658	−	0.0293304i	−0.330068	+	0.943957i	$0.607072\pi$
$948$	18.2843	−	44.3638i	0.593847	−	1.44087i
$949$	−18.1795	+	10.4960i	−0.590133	+	0.340713i
$950$	−4.11891	−	3.90505i	−0.133635	−	0.126696i
$951$	−38.4506	−	36.3594i	−1.24685	−	1.17903i
$952$	−10.9076	−	11.5812i	−0.353519	−	0.375350i
$953$	−14.3237	+	7.29827i	−0.463989	+	0.236414i	−0.670326	−	0.742067i	$-0.733846\pi$
$953$	−14.3237	+	7.29827i	−0.463989	+	0.236414i	0.206337	+	0.978481i	$0.433846\pi$
$954$	−25.6764	−	25.4956i	−0.831304	−	0.825450i
$955$	23.2927	+	7.22662i	0.753735	+	0.233848i
$956$	−19.5954	−	17.6438i	−0.633761	−	0.570641i
$957$	−16.2041	+	29.9703i	−0.523803	+	0.968803i
$958$	21.8330	+	11.1245i	0.705391	+	0.359415i
$959$	−13.1118	−	44.8844i	−0.423403	−	1.44939i
$960$	−6.16129	−	41.9034i	−0.198855	−	1.35243i
$961$	0.694920	+	6.61172i	0.0224168	+	0.213281i
$962$	−15.8876	−	19.6195i	−0.512235	−	0.632558i
$963$	−29.9526	−	33.0303i	−0.965208	−	1.06439i
$964$	−49.4210	+	5.19435i	−1.59174	+	0.167299i
$965$	−25.4155	+	16.9907i	−0.818155	+	0.546950i
$966$	0.657705	+	13.0482i	0.0211613	+	0.419820i
$967$	5.42732	−	10.6517i	0.174531	−	0.342536i	−0.787126	−	0.616793i	$-0.788432\pi$
$967$	5.42732	−	10.6517i	0.174531	−	0.342536i	0.961657	+	0.274256i	$0.0884317\pi$
$968$	−6.77565	+	1.81553i	−0.217778	+	0.0583534i
$969$	0.510288	+	6.34060i	0.0163928	+	0.203689i
$970$	−10.9372	+	8.17119i	−0.351173	+	0.262361i
$971$	−10.0469	+	9.04627i	−0.322420	+	0.290309i	−0.814407	−	0.580294i	$-0.802938\pi$
$971$	−10.0469	+	9.04627i	−0.322420	+	0.290309i	0.491986	+	0.870603i	$0.336271\pi$
$972$	−6.54800	+	37.1586i	−0.210027	+	1.19186i
$973$	−0.802326	−	3.39822i	−0.0257214	−	0.108942i
$974$	44.5442			1.42729
$975$	−19.9107	+	11.5548i	−0.637654	+	0.370051i
$976$	2.12796	+	3.68573i	0.0681142	+	0.117977i
$977$	14.2286	−	5.46183i	0.455212	−	0.174740i	−0.119948	−	0.992780i	$-0.538273\pi$
$977$	14.2286	−	5.46183i	0.455212	−	0.174740i	0.575160	+	0.818041i	$0.304940\pi$
$978$	5.24257	+	5.50501i	0.167639	+	0.176031i
$979$	−26.6348	−	8.65416i	−0.851251	−	0.276588i
$980$	−10.0176	−	36.5377i	−0.320000	−	1.16715i
$981$	23.9638	−	9.29612i	0.765105	−	0.296802i
$982$	37.9879	−	10.1788i	1.21224	−	0.324820i
$983$	−18.4201	+	0.965358i	−0.587511	+	0.0307902i	−0.343776	−	0.939052i	$-0.611706\pi$
$983$	−18.4201	+	0.965358i	−0.587511	+	0.0307902i	−0.243735	+	0.969842i	$0.578373\pi$
$984$	−6.17199	+	5.29026i	−0.196756	+	0.168647i
$985$	−4.48425	−	1.13774i	−0.142880	−	0.0362514i
$986$	37.9998	+	52.3022i	1.21016	+	1.66564i
$987$	−3.96321	+	18.4641i	−0.126150	+	0.587718i
$988$	3.43106	−	0.543427i	0.109157	−	0.0172887i
$989$	−0.120423	−	1.14575i	−0.00382924	−	0.0364328i
$990$	−13.7701	−	59.8078i	−0.437643	−	1.90082i
$991$	−2.89531	+	27.5470i	−0.0919725	+	0.875060i	0.847122	+	0.531399i	$0.178334\pi$
$991$	−2.89531	+	27.5470i	−0.0919725	+	0.875060i	−0.939094	+	0.343660i	$0.888333\pi$
$992$	33.2675	−	21.6042i	1.05624	−	0.685933i
$993$	0.599326	+	21.4399i	0.0190191	+	0.680375i
$994$	−5.35299	−	29.5013i	−0.169787	−	0.935726i
$995$	−2.56438	+	12.9077i	−0.0812963	+	0.409203i
$996$	−0.208526	+	8.53976i	−0.00660740	+	0.270593i
$997$	12.5649	+	8.15976i	0.397935	+	0.258422i	0.728058	−	0.685516i	$-0.240423\pi$
$997$	12.5649	+	8.15976i	0.397935	+	0.258422i	−0.330122	+	0.943938i	$0.607090\pi$
$998$	−11.9745	−	31.1948i	−0.379048	−	0.987453i
$999$	7.95219	+	22.0837i	0.251596	+	0.698696i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bs.a.2.11	✓	1216
3.2	odd	2	inner	525.2.bs.a.2.66	yes	1216
7.4	even	3	inner	525.2.bs.a.452.66	yes	1216
21.11	odd	6	inner	525.2.bs.a.452.11	yes	1216
25.13	odd	20	inner	525.2.bs.a.338.11	yes	1216
75.38	even	20	inner	525.2.bs.a.338.66	yes	1216
175.88	odd	60	inner	525.2.bs.a.263.66	yes	1216
525.263	even	60	inner	525.2.bs.a.263.11	yes	1216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bs.a.2.11	✓	1216	1.1	even	1	trivial
525.2.bs.a.2.66	yes	1216	3.2	odd	2	inner
525.2.bs.a.263.11	yes	1216	525.263	even	60	inner
525.2.bs.a.263.66	yes	1216	175.88	odd	60	inner
525.2.bs.a.338.11	yes	1216	25.13	odd	20	inner
525.2.bs.a.338.66	yes	1216	75.38	even	20	inner
525.2.bs.a.452.11	yes	1216	21.11	odd	6	inner
525.2.bs.a.452.66	yes	1216	7.4	even	3	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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.bs (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.63394 - 1.32314i) q^{2} +(0.407314 + 1.68348i) q^{3} +(0.503241 + 2.36756i) q^{4} +(-1.47395 + 1.68151i) q^{5} +(1.56195 - 3.28963i) q^{6} +(2.44053 + 1.02168i) q^{7} +(0.401327 - 0.787649i) q^{8} +(-2.66819 + 1.37141i) q^{9} +O(q^{10})\)	\(q+(-1.63394 - 1.32314i) q^{2} +(0.407314 + 1.68348i) q^{3} +(0.503241 + 2.36756i) q^{4} +(-1.47395 + 1.68151i) q^{5} +(1.56195 - 3.28963i) q^{6} +(2.44053 + 1.02168i) q^{7} +(0.401327 - 0.787649i) q^{8} +(-2.66819 + 1.37141i) q^{9} +(4.63321 - 0.797245i) q^{10} +(-1.76990 + 3.97525i) q^{11} +(-3.78076 + 1.81153i) q^{12} +(-2.62547 + 0.415834i) q^{13} +(-2.63586 - 4.89851i) q^{14} +(-3.43114 - 1.79646i) q^{15} +(2.72448 - 1.21302i) q^{16} +(-0.355998 - 6.79284i) q^{17} +(6.17422 + 1.28959i) q^{18} +(-0.112254 + 0.528115i) q^{19} +(-4.72283 - 2.64346i) q^{20} +(-0.725910 + 4.52472i) q^{21} +(8.15171 - 4.15350i) q^{22} +(-0.853359 + 1.05381i) q^{23} +(1.48946 + 0.354805i) q^{24} +(-0.654944 - 4.95692i) q^{25} +(4.84007 + 2.79441i) q^{26} +(-3.39552 - 3.93325i) q^{27} +(-1.19071 + 6.29225i) q^{28} +(1.39690 - 4.29921i) q^{29} +(3.22932 + 7.47518i) q^{30} +(-3.30200 + 3.66724i) q^{31} +(-7.76437 - 2.08046i) q^{32} +(-7.41315 - 1.36040i) q^{33} +(-8.40619 + 11.5701i) q^{34} +(-5.31517 + 2.59787i) q^{35} +(-4.58963 - 5.62696i) q^{36} +(-4.21712 - 1.61880i) q^{37} +(0.882187 - 0.714381i) q^{38} +(-1.76944 - 4.25055i) q^{39} +(0.732903 + 1.83579i) q^{40} +(-3.12063 + 4.29518i) q^{41} +(7.17292 - 6.43263i) q^{42} +(-0.600760 + 0.600760i) q^{43} +(-10.3023 - 2.18983i) q^{44} +(1.62675 - 6.50797i) q^{45} +(2.78867 - 0.592751i) q^{46} +(4.11531 + 0.215674i) q^{47} +(3.15180 + 4.09252i) q^{48} +(4.91235 + 4.98686i) q^{49} +(-5.48855 + 8.96589i) q^{50} +(11.2906 - 3.36613i) q^{51} +(-2.30576 - 6.00670i) q^{52} +(-4.81123 - 3.12445i) q^{53} +(0.343853 + 10.9194i) q^{54} +(-4.07568 - 8.83542i) q^{55} +(1.78417 - 1.51225i) q^{56} +(-0.934793 + 0.0261310i) q^{57} +(-7.97090 + 5.17636i) q^{58} +(-1.59969 + 15.2201i) q^{59} +(2.52654 - 9.02749i) q^{60} +(0.149168 + 1.41923i) q^{61} +(10.2475 - 1.62305i) q^{62} +(-7.91293 + 0.620927i) q^{63} +(6.42787 + 8.84720i) q^{64} +(3.17058 - 5.02767i) q^{65} +(10.3126 + 12.0314i) q^{66} +(-11.9236 + 0.624891i) q^{67} +(15.9033 - 4.26128i) q^{68} +(-2.12165 - 1.00738i) q^{69} +(12.1220 + 2.78795i) q^{70} +(5.12625 + 1.66562i) q^{71} +(0.00936974 + 2.65198i) q^{72} +(7.37253 - 2.83005i) q^{73} +(4.74862 + 8.22486i) q^{74} +(8.07809 - 3.12160i) q^{75} -1.30684 q^{76} +(-8.38090 + 7.89345i) q^{77} +(-2.73291 + 9.28635i) q^{78} +(-8.50574 + 7.65861i) q^{79} +(-1.97605 + 6.36915i) q^{80} +(5.23849 - 7.31835i) q^{81} +(10.7820 - 2.88904i) q^{82} +(0.925049 - 1.81551i) q^{83} +(-11.0778 + 0.558386i) q^{84} +(11.9469 + 9.41369i) q^{85} +(1.77649 - 0.186717i) q^{86} +(7.80660 + 0.600518i) q^{87} +(2.42080 + 2.98943i) q^{88} +(0.672733 + 6.40063i) q^{89} +(-11.2690 + 8.48122i) q^{90} +(-6.83238 - 1.66753i) q^{91} +(-2.92441 - 1.49006i) q^{92} +(-7.51867 - 4.06512i) q^{93} +(-6.43881 - 5.79753i) q^{94} +(-0.722573 - 0.967172i) q^{95} +(0.339866 - 13.9185i) q^{96} +(-2.58747 + 1.31838i) q^{97} +(-1.42818 - 14.6480i) q^{98} +(-0.729267 - 13.0340i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9}+O(q^{10}) \) 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9	\( 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9} - 12 q^{10} - 64 q^{13} - 44 q^{15} - 140 q^{16} - 24 q^{18} - 20 q^{19} - 12 q^{21} + 8 q^{22} - 24 q^{25} - 80 q^{27} - 40 q^{28} - 50 q^{30} - 12 q^{31} - 6 q^{33} - 80 q^{34} + 8 q^{36} - 24 q^{37} - 50 q^{39} - 4 q^{40} - 34 q^{42} - 96 q^{43} + 30 q^{45} - 12 q^{46} - 44 q^{48} - 16 q^{51} - 136 q^{52} - 10 q^{54} - 40 q^{55} - 112 q^{57} - 76 q^{58} - 60 q^{60} - 12 q^{61} - 14 q^{63} - 80 q^{64} - 30 q^{66} - 32 q^{67} + 100 q^{69} - 100 q^{70} + 24 q^{72} - 72 q^{73} - 96 q^{75} - 64 q^{76} + 20 q^{78} - 20 q^{79} - 6 q^{81} - 204 q^{82} + 100 q^{84} - 56 q^{85} + 36 q^{87} - 140 q^{88} + 164 q^{90} - 24 q^{91} + 34 q^{93} - 20 q^{94} - 30 q^{96} - 240 q^{97}+O(q^{100}) \) 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9 - 12 * q^10 - 64 * q^13 - 44 * q^15 - 140 * q^16 - 24 * q^18 - 20 * q^19 - 12 * q^21 + 8 * q^22 - 24 * q^25 - 80 * q^27 - 40 * q^28 - 50 * q^30 - 12 * q^31 - 6 * q^33 - 80 * q^34 + 8 * q^36 - 24 * q^37 - 50 * q^39 - 4 * q^40 - 34 * q^42 - 96 * q^43 + 30 * q^45 - 12 * q^46 - 44 * q^48 - 16 * q^51 - 136 * q^52 - 10 * q^54 - 40 * q^55 - 112 * q^57 - 76 * q^58 - 60 * q^60 - 12 * q^61 - 14 * q^63 - 80 * q^64 - 30 * q^66 - 32 * q^67 + 100 * q^69 - 100 * q^70 + 24 * q^72 - 72 * q^73 - 96 * q^75 - 64 * q^76 + 20 * q^78 - 20 * q^79 - 6 * q^81 - 204 * q^82 + 100 * q^84 - 56 * q^85 + 36 * q^87 - 140 * q^88 + 164 * q^90 - 24 * q^91 + 34 * q^93 - 20 * q^94 - 30 * q^96 - 240 * q^97

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