LMFDB - Embedded newform 98.2.g.b.81.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(9,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(42))

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

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

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

chi := DirichletCharacter("98.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.g (of order $21$, degree $12$, 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:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$2$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			81.1
Character	$\chi$	$=$	98.81
Dual form			98.2.g.b.23.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0747301 + 0.997204i) q^{2} +(-2.39605 - 0.739084i) q^{3} +(-0.988831 + 0.149042i) q^{4} +(-2.18585 + 2.02817i) q^{5} +(0.557960 - 2.44458i) q^{6} +(-2.12971 + 1.56982i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(2.71611 + 1.85181i) q^{9} +O(q^{10})$	\(q+(0.0747301 + 0.997204i) q^{2} +(-2.39605 - 0.739084i) q^{3} +(-0.988831 + 0.149042i) q^{4} +(-2.18585 + 2.02817i) q^{5} +(0.557960 - 2.44458i) q^{6} +(-2.12971 + 1.56982i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(2.71611 + 1.85181i) q^{9} +(-2.18585 - 2.02817i) q^{10} +(1.16083 - 0.791437i) q^{11} +(2.47945 + 0.373716i) q^{12} +(0.0398356 + 0.0191838i) q^{13} +(-1.72458 - 2.00644i) q^{14} +(6.73639 - 3.24407i) q^{15} +(0.955573 - 0.294755i) q^{16} +(2.61579 + 6.66491i) q^{17} +(-1.64366 + 2.84690i) q^{18} +(-3.92039 - 6.79031i) q^{19} +(1.85915 - 2.33130i) q^{20} +(6.26313 - 2.18733i) q^{21} +(0.875973 + 1.09844i) q^{22} +(-2.12129 + 5.40496i) q^{23} +(-0.187382 + 2.50044i) q^{24} +(0.290804 - 3.88050i) q^{25} +(-0.0161533 + 0.0411578i) q^{26} +(-0.449178 - 0.563252i) q^{27} +(1.87195 - 1.86970i) q^{28} +(-2.49005 + 3.12243i) q^{29} +(3.73841 + 6.47512i) q^{30} +(-2.20619 + 3.82123i) q^{31} +(0.365341 + 0.930874i) q^{32} +(-3.36634 + 1.03838i) q^{33} +(-6.45080 + 3.10654i) q^{34} +(1.47136 - 7.75079i) q^{35} +(-2.96177 - 1.42631i) q^{36} +(-0.811886 - 0.122372i) q^{37} +(6.47835 - 4.41686i) q^{38} +(-0.0812697 - 0.0754073i) q^{39} +(2.46371 + 1.67973i) q^{40} +(-0.416645 - 1.82544i) q^{41} +(2.64926 + 6.08216i) q^{42} +(0.802527 - 3.51610i) q^{43} +(-1.02990 + 0.955610i) q^{44} +(-9.69277 + 1.46095i) q^{45} +(-5.54837 - 1.71145i) q^{46} +(-0.368729 - 4.92035i) q^{47} -2.50745 q^{48} +(2.07134 - 6.68652i) q^{49} +3.89139 q^{50} +(-1.34163 - 17.9028i) q^{51} +(-0.0422499 - 0.0130324i) q^{52} +(-5.60902 + 0.845424i) q^{53} +(0.528109 - 0.490014i) q^{54} +(-0.932217 + 4.08431i) q^{55} +(2.00437 + 1.72700i) q^{56} +(4.37484 + 19.1674i) q^{57} +(-3.29978 - 2.24975i) q^{58} +(10.2300 + 9.49204i) q^{59} +(-6.17764 + 4.21185i) q^{60} +(2.31774 + 0.349343i) q^{61} +(-3.97542 - 1.91446i) q^{62} +(-8.69153 + 0.319976i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-0.125982 + 0.0388604i) q^{65} +(-1.28704 - 3.27933i) q^{66} +(-6.80846 + 11.7926i) q^{67} +(-3.57992 - 6.20061i) q^{68} +(9.07744 - 11.3828i) q^{69} +(7.83908 + 0.888030i) q^{70} +(2.01729 + 2.52960i) q^{71} +(1.20099 - 3.06007i) q^{72} +(0.429343 - 5.72919i) q^{73} +(0.0613577 - 0.818761i) q^{74} +(-3.56480 + 9.08296i) q^{75} +(4.88864 + 6.13016i) q^{76} +(-1.22981 + 3.50782i) q^{77} +(0.0691232 - 0.0866777i) q^{78} +(4.13726 + 7.16595i) q^{79} +(-1.49092 + 2.58235i) q^{80} +(-2.94301 - 7.49866i) q^{81} +(1.78920 - 0.551896i) q^{82} +(-0.263645 + 0.126965i) q^{83} +(-5.86717 + 3.09637i) q^{84} +(-19.2353 - 9.26322i) q^{85} +(3.56624 + 0.537524i) q^{86} +(8.27404 - 5.64114i) q^{87} +(-1.02990 - 0.955610i) q^{88} +(8.78354 + 5.98852i) q^{89} +(-2.18121 - 9.55649i) q^{90} +(-0.114953 + 0.0216787i) q^{91} +(1.29203 - 5.66075i) q^{92} +(8.11036 - 7.52531i) q^{93} +(4.87904 - 0.735396i) q^{94} +(22.3412 + 6.89136i) q^{95} +(-0.187382 - 2.50044i) q^{96} +12.1394 q^{97} +(6.82262 + 1.56586i) q^{98} +4.61852 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9}+O(q^{10}) $ 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9	\( 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9} - 11 q^{11} - 14 q^{13} + 9 q^{15} + 2 q^{16} - 7 q^{17} - 9 q^{18} - 14 q^{19} - 7 q^{20} - 7 q^{21} + q^{22} - 29 q^{23} - 8 q^{25} - 7 q^{26} - 7 q^{27} + 14 q^{28} + 13 q^{29} - 8 q^{30} - 28 q^{31} + 2 q^{32} - 14 q^{33} - 7 q^{34} - 35 q^{35} - 17 q^{36} + 20 q^{37} + 35 q^{38} + 56 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 6 q^{43} + 3 q^{44} + 7 q^{45} + 34 q^{46} + 42 q^{47} + 14 q^{48} + 28 q^{49} + 16 q^{50} + 32 q^{51} - 7 q^{52} - 60 q^{53} + 21 q^{54} - 14 q^{55} + 7 q^{56} + 23 q^{57} + 18 q^{58} + 49 q^{59} + 6 q^{60} - 14 q^{61} - 28 q^{63} - 4 q^{64} - 28 q^{65} + 21 q^{66} + 24 q^{67} - 14 q^{68} + 7 q^{69} - 28 q^{70} + 6 q^{71} - 2 q^{72} - 35 q^{73} - 15 q^{74} - 56 q^{75} + 49 q^{77} + 6 q^{79} - 14 q^{80} - 45 q^{81} - 14 q^{82} - 77 q^{83} - 21 q^{84} - 33 q^{85} - 38 q^{86} + 63 q^{87} + 3 q^{88} - 21 q^{90} - 21 q^{91} - 5 q^{92} - 38 q^{93} - 35 q^{94} + 86 q^{95} + 98 q^{97} + 28 q^{98} - 106 q^{99}+O(q^{100}) \) 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9 - 11 * q^11 - 14 * q^13 + 9 * q^15 + 2 * q^16 - 7 * q^17 - 9 * q^18 - 14 * q^19 - 7 * q^20 - 7 * q^21 + q^22 - 29 * q^23 - 8 * q^25 - 7 * q^26 - 7 * q^27 + 14 * q^28 + 13 * q^29 - 8 * q^30 - 28 * q^31 + 2 * q^32 - 14 * q^33 - 7 * q^34 - 35 * q^35 - 17 * q^36 + 20 * q^37 + 35 * q^38 + 56 * q^39 + 14 * q^40 + 28 * q^41 - 21 * q^42 + 6 * q^43 + 3 * q^44 + 7 * q^45 + 34 * q^46 + 42 * q^47 + 14 * q^48 + 28 * q^49 + 16 * q^50 + 32 * q^51 - 7 * q^52 - 60 * q^53 + 21 * q^54 - 14 * q^55 + 7 * q^56 + 23 * q^57 + 18 * q^58 + 49 * q^59 + 6 * q^60 - 14 * q^61 - 28 * q^63 - 4 * q^64 - 28 * q^65 + 21 * q^66 + 24 * q^67 - 14 * q^68 + 7 * q^69 - 28 * q^70 + 6 * q^71 - 2 * q^72 - 35 * q^73 - 15 * q^74 - 56 * q^75 + 49 * q^77 + 6 * q^79 - 14 * q^80 - 45 * q^81 - 14 * q^82 - 77 * q^83 - 21 * q^84 - 33 * q^85 - 38 * q^86 + 63 * q^87 + 3 * q^88 - 21 * q^90 - 21 * q^91 - 5 * q^92 - 38 * q^93 - 35 * q^94 + 86 * q^95 + 98 * q^97 + 28 * q^98 - 106 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{2}{21}\right)$

Coefficient data

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

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

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

$2$	0.0747301	+	0.997204i	0.0528422	+	0.705130i
$2$	0.0747301	+	0.997204i	0.0528422	+	0.705130i
$3$	−2.39605	−	0.739084i	−1.38336	−	0.426711i	−0.488309	−	0.872671i	$-0.662386\pi$
$3$	−2.39605	−	0.739084i	−1.38336	−	0.426711i	−0.895053	+	0.445960i	$0.852862\pi$
$4$	−0.988831	+	0.149042i	−0.494415	+	0.0745211i
$5$	−2.18585	+	2.02817i	−0.977540	+	0.907024i	−0.995684	−	0.0928111i	$-0.970415\pi$
$5$	−2.18585	+	2.02817i	−0.977540	+	0.907024i	0.0181440	+	0.999835i	$0.494224\pi$
$6$	0.557960	−	2.44458i	0.227786	−	0.997997i
$7$	−2.12971	+	1.56982i	−0.804955	+	0.593336i
$7$	−2.12971	+	1.56982i	−0.804955	+	0.593336i
$8$	−0.222521	−	0.974928i	−0.0786730	−	0.344689i
$9$	2.71611	+	1.85181i	0.905369	+	0.617270i
$10$	−2.18585	−	2.02817i	−0.691225	−	0.641363i
$11$	1.16083	−	0.791437i	0.350002	−	0.238627i	−0.375538	−	0.926807i	$-0.622542\pi$
$11$	1.16083	−	0.791437i	0.350002	−	0.238627i	0.725541	+	0.688179i	$0.241590\pi$
$12$	2.47945	+	0.373716i	0.715754	+	0.107883i
$13$	0.0398356	+	0.0191838i	0.0110484	+	0.00532063i	0.439400	−	0.898292i	$-0.355191\pi$
$13$	0.0398356	+	0.0191838i	0.0110484	+	0.00532063i	−0.428351	+	0.903612i	$0.640905\pi$
$14$	−1.72458	−	2.00644i	−0.460914	−	0.536244i
$15$	6.73639	−	3.24407i	1.73933	−	0.837616i
$16$	0.955573	−	0.294755i	0.238893	−	0.0736888i
$17$	2.61579	+	6.66491i	0.634421	+	1.61648i	0.779028	+	0.626989i	$0.215713\pi$
$17$	2.61579	+	6.66491i	0.634421	+	1.61648i	−0.144607	+	0.989489i	$0.546192\pi$
$18$	−1.64366	+	2.84690i	−0.387414	+	0.671020i
$19$	−3.92039	−	6.79031i	−0.899398	−	1.55780i	−0.828265	−	0.560336i	$-0.810672\pi$
$19$	−3.92039	−	6.79031i	−0.899398	−	1.55780i	−0.0711330	−	0.997467i	$-0.522661\pi$
$20$	1.85915	−	2.33130i	0.415718	−	0.521294i
$21$	6.26313	−	2.18733i	1.36673	−	0.477315i
$22$	0.875973	+	1.09844i	0.186758	+	0.234187i
$23$	−2.12129	+	5.40496i	−0.442320	+	1.12701i	0.519777	+	0.854302i	$0.326015\pi$
$23$	−2.12129	+	5.40496i	−0.442320	+	1.12701i	−0.962096	+	0.272710i	$0.912080\pi$
$24$	−0.187382	+	2.50044i	−0.0382492	+	0.510400i
$25$	0.290804	−	3.88050i	0.0581607	−	0.776101i
$26$	−0.0161533	+	0.0411578i	−0.00316791	+	0.00807171i
$27$	−0.449178	−	0.563252i	−0.0864444	−	0.108398i
$28$	1.87195	−	1.86970i	0.353766	−	0.353341i
$29$	−2.49005	+	3.12243i	−0.462391	+	0.579820i	−0.957290	−	0.289131i	$-0.906634\pi$
$29$	−2.49005	+	3.12243i	−0.462391	+	0.579820i	0.494898	+	0.868951i	$0.335205\pi$
$30$	3.73841	+	6.47512i	0.682538	+	1.18219i
$31$	−2.20619	+	3.82123i	−0.396243	+	0.686314i	−0.993259	−	0.115916i	$-0.963020\pi$
$31$	−2.20619	+	3.82123i	−0.396243	+	0.686314i	0.597016	+	0.802230i	$0.296353\pi$
$32$	0.365341	+	0.930874i	0.0645838	+	0.164557i
$33$	−3.36634	+	1.03838i	−0.586004	+	0.180758i
$34$	−6.45080	+	3.10654i	−1.10630	+	0.532767i
$35$	1.47136	−	7.75079i	0.248706	−	1.31012i
$36$	−2.96177	−	1.42631i	−0.493628	−	0.237719i
$37$	−0.811886	−	0.122372i	−0.133473	−	0.0201179i	0.0819658	−	0.996635i	$-0.473880\pi$
$37$	−0.811886	−	0.122372i	−0.133473	−	0.0201179i	−0.215439	+	0.976517i	$0.569118\pi$
$38$	6.47835	−	4.41686i	1.05093	−	0.716510i
$39$	−0.0812697	−	0.0754073i	−0.0130136	−	0.0120748i
$40$	2.46371	+	1.67973i	0.389547	+	0.265589i
$41$	−0.416645	−	1.82544i	−0.0650691	−	0.285086i	0.931917	−	0.362673i	$-0.118136\pi$
$41$	−0.416645	−	1.82544i	−0.0650691	−	0.285086i	−0.996986	+	0.0775866i	$0.975279\pi$
$42$	2.64926	+	6.08216i	0.408790	+	0.938497i
$43$	0.802527	−	3.51610i	0.122384	−	0.536200i	−0.876148	−	0.482042i	$-0.839895\pi$
$43$	0.802527	−	3.51610i	0.122384	−	0.536200i	0.998532	−	0.0541584i	$-0.0172476\pi$
$44$	−1.02990	+	0.955610i	−0.155264	+	0.144064i
$45$	−9.69277	+	1.46095i	−1.44491	+	0.217786i
$46$	−5.54837	−	1.71145i	−0.818063	−	0.252339i
$47$	−0.368729	−	4.92035i	−0.0537847	−	0.717707i	−0.957290	−	0.289130i	$-0.906634\pi$
$47$	−0.368729	−	4.92035i	−0.0537847	−	0.717707i	0.903505	−	0.428577i	$-0.140985\pi$
$48$	−2.50745			−0.361919
$49$	2.07134	−	6.68652i	0.295905	−	0.955217i
$50$	3.89139			0.550325
$51$	−1.34163	−	17.9028i	−0.187865	−	2.50689i
$52$	−0.0422499	−	0.0130324i	−0.00585900	−	0.00180726i
$53$	−5.60902	+	0.845424i	−0.770459	+	0.116128i	−0.522496	−	0.852642i	$-0.674999\pi$
$53$	−5.60902	+	0.845424i	−0.770459	+	0.116128i	−0.247963	+	0.968770i	$0.579761\pi$
$54$	0.528109	−	0.490014i	0.0718666	−	0.0666825i
$55$	−0.932217	+	4.08431i	−0.125700	+	0.550728i
$56$	2.00437	+	1.72700i	0.267845	+	0.230780i
$57$	4.37484	+	19.1674i	0.579462	+	2.53879i
$58$	−3.29978	−	2.24975i	−0.433282	−	0.295407i
$59$	10.2300	+	9.49204i	1.33183	+	1.23576i	0.950275	+	0.311413i	$0.100802\pi$
$59$	10.2300	+	9.49204i	1.33183	+	1.23576i	0.381556	+	0.924346i	$0.375388\pi$
$60$	−6.17764	+	4.21185i	−0.797530	+	0.543747i
$61$	2.31774	+	0.349343i	0.296756	+	0.0447288i	0.295733	−	0.955271i	$-0.404436\pi$
$61$	2.31774	+	0.349343i	0.296756	+	0.0447288i	0.00102326	+	0.999999i	$0.499674\pi$
$62$	−3.97542	−	1.91446i	−0.504878	−	0.243137i
$63$	−8.69153	+	0.319976i	−1.09503	+	0.0403131i
$64$	−0.900969	+	0.433884i	−0.112621	+	0.0542355i
$65$	−0.125982	+	0.0388604i	−0.0156262	+	0.00482004i
$66$	−1.28704	−	3.27933i	−0.158424	−	0.403657i
$67$	−6.80846	+	11.7926i	−0.831786	+	1.44070i	0.0648349	+	0.997896i	$0.479348\pi$
$67$	−6.80846	+	11.7926i	−0.831786	+	1.44070i	−0.896621	+	0.442799i	$0.853985\pi$
$68$	−3.57992	−	6.20061i	−0.434129	−	0.751934i
$69$	9.07744	−	11.3828i	1.09280	−	1.37032i
$70$	7.83908	+	0.888030i	0.936949	+	0.106140i
$71$	2.01729	+	2.52960i	0.239408	+	0.300208i	0.886991	−	0.461787i	$-0.152792\pi$
$71$	2.01729	+	2.52960i	0.239408	+	0.300208i	−0.647583	+	0.761995i	$0.724220\pi$
$72$	1.20099	−	3.06007i	0.141538	−	0.360633i
$73$	0.429343	−	5.72919i	0.0502508	−	0.670551i	−0.914026	−	0.405655i	$-0.867043\pi$
$73$	0.429343	−	5.72919i	0.0502508	−	0.670551i	0.964277	−	0.264896i	$-0.0853375\pi$
$74$	0.0613577	−	0.818761i	0.00713268	−	0.0951790i
$75$	−3.56480	+	9.08296i	−0.411628	+	1.04881i
$76$	4.88864	+	6.13016i	0.560766	+	0.703178i
$77$	−1.22981	+	3.50782i	−0.140150	+	0.399753i
$78$	0.0691232	−	0.0866777i	0.00782666	−	0.00981432i
$79$	4.13726	+	7.16595i	0.465478	+	0.806232i	0.999223	−	0.0394136i	$-0.0125490\pi$
$79$	4.13726	+	7.16595i	0.465478	+	0.806232i	−0.533745	+	0.845646i	$0.679216\pi$
$80$	−1.49092	+	2.58235i	−0.166690	+	0.288716i
$81$	−2.94301	−	7.49866i	−0.327001	−	0.833185i
$82$	1.78920	−	0.551896i	0.197584	−	0.0609467i
$83$	−0.263645	+	0.126965i	−0.0289388	+	0.0139362i	−0.448297	−	0.893885i	$-0.647969\pi$
$83$	−0.263645	+	0.126965i	−0.0289388	+	0.0139362i	0.419358	+	0.907821i	$0.362255\pi$
$84$	−5.86717	+	3.09637i	−0.640161	+	0.337842i
$85$	−19.2353	−	9.26322i	−2.08636	−	1.00474i
$86$	3.56624	+	0.537524i	0.384558	+	0.0579628i
$87$	8.27404	−	5.64114i	0.887070	−	0.604794i
$88$	−1.02990	−	0.955610i	−0.109788	−	0.101868i
$89$	8.78354	+	5.98852i	0.931054	+	0.634782i	0.930922	−	0.365218i	$-0.119006\pi$
$89$	8.78354	+	5.98852i	0.931054	+	0.634782i	0.000131826		1.00000i	$0.499958\pi$
$90$	−2.18121	−	9.55649i	−0.229919	−	1.00734i
$91$	−0.114953	+	0.0216787i	−0.0120504	+	0.00227255i
$92$	1.29203	−	5.66075i	0.134703	−	0.590174i
$93$	8.11036	−	7.52531i	0.841005	−	0.780339i
$94$	4.87904	−	0.735396i	0.503234	−	0.0758503i
$95$	22.3412	+	6.89136i	2.29216	+	0.707039i
$96$	−0.187382	−	2.50044i	−0.0191246	−	0.255200i
$97$	12.1394			1.23257			0.616283	−	0.787525i	$-0.288638\pi$
$97$	12.1394			1.23257			0.616283	+	0.787525i	$0.288638\pi$
$98$	6.82262	+	1.56586i	0.689188	+	0.158176i
$99$	4.61852			0.464178
$100$	0.290804	+	3.88050i	0.0290804	+	0.388050i
$101$	−5.41138	−	1.66919i	−0.538453	−	0.166091i	0.0135883	−	0.999908i	$-0.495675\pi$
$101$	−5.41138	−	1.66919i	−0.538453	−	0.166091i	−0.552041	+	0.833817i	$0.686151\pi$
$102$	17.7524	−	2.67575i	1.75775	−	0.264939i
$103$	−2.88480	+	2.67671i	−0.284248	+	0.263744i	−0.809391	−	0.587271i	$-0.800202\pi$
$103$	−2.88480	+	2.67671i	−0.284248	+	0.263744i	0.525143	+	0.851014i	$0.324012\pi$
$104$	0.00983858	−	0.0431056i	0.000964752	−	0.00422686i
$105$	−9.25395	+	17.4838i	−0.903093	+	1.70625i
$106$	−1.26222	−	5.53016i	−0.122598	−	0.537137i
$107$	−7.63396	−	5.20475i	−0.738003	−	0.503162i	0.135019	−	0.990843i	$-0.456890\pi$
$107$	−7.63396	−	5.20475i	−0.738003	−	0.503162i	−0.873022	+	0.487681i	$0.837843\pi$
$108$	0.528109	+	0.490014i	0.0508174	+	0.0471516i
$109$	10.7015	−	7.29614i	1.02501	−	0.698843i	0.0706544	−	0.997501i	$-0.477491\pi$
$109$	10.7015	−	7.29614i	1.02501	−	0.698843i	0.954360	+	0.298658i	$0.0965389\pi$
$110$	−4.14255	−	0.624389i	−0.394977	−	0.0595332i
$111$	1.85488	+	0.893263i	0.176057	+	0.0847847i
$112$	−1.57238	+	2.12782i	−0.148576	+	0.201060i
$113$	6.95916	−	3.35135i	0.654662	−	0.315269i	−0.0769046	−	0.997038i	$-0.524504\pi$
$113$	6.95916	−	3.35135i	0.654662	−	0.315269i	0.731567	+	0.681770i	$0.238789\pi$
$114$	−18.7869	+	5.79499i	−1.75955	+	0.542751i
$115$	−6.32535	−	16.1167i	−0.589842	−	1.50289i
$116$	1.99687	−	3.45868i	0.185404	−	0.321130i
$117$	0.0726729	+	0.125873i	0.00671862	+	0.0116370i
$118$	−8.70101	+	10.9107i	−0.800993	+	1.00441i
$119$	−16.0336	−	10.0880i	−1.46980	−	0.924768i
$120$	−4.66172	−	5.84562i	−0.425555	−	0.533629i
$121$	−3.29761	+	8.40217i	−0.299783	+	0.763834i
$122$	−0.175161	+	2.33736i	−0.0158584	+	0.211615i
$123$	−0.350852	+	4.68179i	−0.0316352	+	0.422143i
$124$	1.61202	−	4.10737i	0.144764	−	0.368853i
$125$	−2.06108	−	2.58451i	−0.184349	−	0.231166i
$126$	−0.968599	−	8.64331i	−0.0862897	−	0.770007i
$127$	−4.76382	+	5.97365i	−0.422721	+	0.530075i	−0.946898	−	0.321534i	$-0.895802\pi$
$127$	−4.76382	+	5.97365i	−0.422721	+	0.530075i	0.524177	+	0.851609i	$0.324373\pi$
$128$	−0.500000	−	0.866025i	−0.0441942	−	0.0765466i
$129$	−4.52159	+	7.83163i	−0.398104	+	0.689536i
$130$	−0.0481665	−	0.122726i	−0.00422448	−	0.0107638i
$131$	−12.8775	+	3.97218i	−1.12511	+	0.347051i	−0.800819	−	0.598906i	$-0.795602\pi$
$131$	−12.8775	+	3.97218i	−1.12511	+	0.347051i	−0.324292	+	0.945957i	$0.605126\pi$
$132$	3.17398	−	1.52851i	0.276259	−	0.133039i
$133$	19.0088	+	8.30709i	1.64828	+	0.720316i
$134$	−12.2684	−	5.90816i	−1.05983	−	0.510387i
$135$	2.12420	+	0.320172i	0.182822	+	0.0275560i
$136$	5.91574	−	4.03328i	0.507271	−	0.345851i
$137$	−11.2882	−	10.4739i	−0.964415	−	0.894847i	0.0300885	−	0.999547i	$-0.490421\pi$
$137$	−11.2882	−	10.4739i	−0.964415	−	0.894847i	−0.994504	+	0.104701i	$0.966612\pi$
$138$	12.0293	+	8.20143i	1.02400	+	0.698152i
$139$	2.27123	+	9.95091i	0.192643	+	0.844025i	0.975179	+	0.221419i	$0.0710689\pi$
$139$	2.27123	+	9.95091i	0.192643	+	0.844025i	−0.782536	+	0.622606i	$0.786074\pi$
$140$	−0.299732	+	7.88352i	−0.0253320	+	0.666279i
$141$	−2.75306	+	12.0619i	−0.231849	+	1.01580i
$142$	−2.37177	+	2.20068i	−0.199035	+	0.184677i
$143$	0.0614250	−	0.00925833i	0.00513661	−	0.000774220i
$144$	3.14127	+	0.968953i	0.261772	+	0.0807461i
$145$	−0.889937	−	11.8754i	−0.0739053	−	0.986197i
$146$	5.74525			0.475480
$147$	−9.90493	+	14.4904i	−0.816945	+	1.19515i
$148$	0.821057			0.0674905
$149$	0.900313	+	12.0138i	0.0737565	+	0.984213i	0.904200	+	0.427109i	$0.140468\pi$
$149$	0.900313	+	12.0138i	0.0737565	+	0.984213i	−0.830443	+	0.557103i	$0.811913\pi$
$150$	−9.32396	−	2.87606i	−0.761298	−	0.234829i
$151$	8.63852	−	1.30205i	0.702993	−	0.105959i	0.212188	−	0.977229i	$-0.431941\pi$
$151$	8.63852	−	1.30205i	0.702993	−	0.105959i	0.490804	+	0.871270i	$0.336703\pi$
$152$	−5.74769	+	5.33308i	−0.466199	+	0.432570i
$153$	−5.23740	+	22.9465i	−0.423419	+	1.85512i
$154$	−3.58991	−	0.964231i	−0.289284	−	0.0776999i
$155$	−2.92771	−	12.8271i	−0.235160	−	1.03030i
$156$	0.0916009	+	0.0624524i	0.00733394	+	0.00500020i
$157$	−1.30965	−	1.21518i	−0.104522	−	0.0969820i	0.626181	−	0.779678i	$-0.284617\pi$
$157$	−1.30965	−	1.21518i	−0.104522	−	0.0969820i	−0.730703	+	0.682696i	$0.760808\pi$
$158$	−6.83673	+	4.66121i	−0.543901	+	0.370826i
$159$	14.0644	+	2.11986i	1.11538	+	0.168116i
$160$	−2.68655	−	1.29377i	−0.212390	−	0.102282i
$161$	−3.96707	−	14.8410i	−0.312649	−	1.16964i
$162$	7.25776	−	3.49515i	0.570224	−	0.274605i
$163$	10.5992	−	3.26943i	0.830196	−	0.256082i	0.149606	−	0.988746i	$-0.452200\pi$
$163$	10.5992	−	3.26943i	0.830196	−	0.256082i	0.680590	+	0.732664i	$0.261723\pi$
$164$	0.684060	+	1.74296i	0.0534161	+	0.136102i
$165$	5.25229	−	9.09723i	0.408890	−	0.708219i
$166$	−0.146312	−	0.253420i	−0.0113560	−	0.0196692i
$167$	−2.53077	+	3.17349i	−0.195837	+	0.245572i	−0.870048	−	0.492967i	$-0.835912\pi$
$167$	−2.53077	+	3.17349i	−0.195837	+	0.245572i	0.674211	+	0.738539i	$0.264484\pi$
$168$	−3.52617	−	5.61937i	−0.272050	−	0.433544i
$169$	−8.10415	−	10.1623i	−0.623396	−	0.781714i
$170$	7.79986	−	19.8737i	0.598222	−	1.52424i
$171$	1.92617	−	25.7030i	0.147298	−	1.96556i
$172$	−0.269516	+	3.59644i	−0.0205504	+	0.274226i
$173$	−4.18201	+	10.6556i	−0.317952	+	0.810130i	0.679146	+	0.734003i	$0.262350\pi$
$173$	−4.18201	+	10.6556i	−0.317952	+	0.810130i	−0.997098	+	0.0761262i	$0.975745\pi$
$174$	6.24369	+	7.82934i	0.473333	+	0.593540i
$175$	5.47236	+	8.72086i	0.413672	+	0.659235i
$176$	0.875973	−	1.09844i	0.0660290	−	0.0827977i
$177$	−17.4962	−	30.3043i	−1.31509	−	2.27781i
$178$	−5.31538	+	9.20651i	−0.398404	+	0.690057i
$179$	−3.33049	−	8.48594i	−0.248932	−	0.634269i	0.750720	−	0.660620i	$-0.229707\pi$
$179$	−3.33049	−	8.48594i	−0.248932	−	0.634269i	−0.999653	+	0.0263508i	$0.991611\pi$
$180$	9.36677	−	2.88926i	0.698158	−	0.215353i
$181$	−14.4696	+	6.96820i	−1.07552	+	0.517942i	−0.885881	−	0.463912i	$-0.846445\pi$
$181$	−14.4696	+	6.96820i	−1.07552	+	0.517942i	−0.189637	+	0.981854i	$0.560731\pi$
$182$	−0.0302086	−	0.113012i	−0.00223921	−	0.00837700i
$183$	−5.29523	−	2.55005i	−0.391435	−	0.188505i
$184$	5.74148	+	0.865389i	0.423267	+	0.0637973i
$185$	2.02285	−	1.37916i	0.148723	−	0.101398i
$186$	8.11036	+	7.52531i	0.594680	+	0.551783i
$187$	8.31133	+	5.66657i	0.607785	+	0.414381i
$188$	1.09795	+	4.81044i	0.0800763	+	0.350837i
$189$	1.84082	+	0.494435i	0.133900	+	0.0359648i
$190$	−5.20253	+	22.7938i	−0.377431	+	1.65363i
$191$	0.224941	−	0.208715i	0.0162762	−	0.0151021i	−0.671993	−	0.740558i	$-0.734561\pi$
$191$	0.224941	−	0.208715i	0.0162762	−	0.0151021i	0.688269	+	0.725456i	$0.258371\pi$
$192$	2.47945	−	0.373716i	0.178939	−	0.0269706i
$193$	−1.85578	−	0.572431i	−0.133582	−	0.0412045i	0.227243	−	0.973838i	$-0.427029\pi$
$193$	−1.85578	−	0.572431i	−0.133582	−	0.0412045i	−0.360825	+	0.932633i	$0.617505\pi$
$194$	0.907176	+	12.1054i	0.0651315	+	0.869119i
$195$	0.330582			0.0236735
$196$	−1.05163	+	6.92055i	−0.0751162	+	0.494325i
$197$	8.56573			0.610283			0.305142	−	0.952307i	$-0.401296\pi$
$197$	8.56573			0.610283			0.305142	+	0.952307i	$0.401296\pi$
$198$	0.345142	+	4.60560i	0.0245282	+	0.327306i
$199$	13.4987	+	4.16381i	0.956901	+	0.295165i	0.733597	−	0.679584i	$-0.237840\pi$
$199$	13.4987	+	4.16381i	0.956901	+	0.295165i	0.223303	+	0.974749i	$0.428316\pi$
$200$	−3.84792	+	0.579981i	−0.272089	+	0.0410108i
$201$	25.0292	−	23.2237i	1.76542	−	1.63807i
$202$	1.26013	−	5.52099i	0.0886624	−	0.388455i
$203$	0.401447	−	10.5588i	0.0281760	−	0.741083i
$204$	3.99491	+	17.5028i	0.279700	+	1.22544i
$205$	4.61303	+	3.14511i	0.322188	+	0.219664i
$206$	−2.88480	−	2.67671i	−0.200994	−	0.186495i
$207$	−15.7706	+	10.7522i	−1.09613	+	0.747331i
$208$	0.0437203	+	0.00658978i	0.00303146	+	0.000456919i
$209$	−9.92499	−	4.77962i	−0.686526	−	0.330613i
$210$	−18.1265	−	7.92150i	−1.25085	−	0.546636i
$211$	6.96295	−	3.35318i	0.479349	−	0.230842i	−0.178575	−	0.983926i	$-0.557149\pi$
$211$	6.96295	−	3.35318i	0.479349	−	0.230842i	0.657925	+	0.753084i	$0.271435\pi$
$212$	5.42037	−	1.67196i	0.372273	−	0.114831i
$213$	−2.96394	−	7.55199i	−0.203086	−	0.517454i
$214$	4.61971	−	8.00156i	0.315797	−	0.546976i
$215$	5.37704	+	9.31331i	0.366711	+	0.635163i
$216$	−0.449178	+	0.563252i	−0.0305627	+	0.0383244i
$217$	−1.30010	−	11.6014i	−0.0882564	−	0.787557i
$218$	8.07546	+	10.1263i	0.546939	+	0.685840i
$219$	−5.26308	+	13.4101i	−0.355646	+	0.906171i
$220$	0.313070	−	4.17763i	0.0211072	−	0.281656i
$221$	−0.0236571	+	0.315682i	−0.00159135	+	0.0212350i
$222$	−0.752150	+	1.91645i	−0.0504810	+	0.128623i
$223$	−3.54590	−	4.44642i	−0.237451	−	0.297754i	0.648800	−	0.760959i	$-0.275271\pi$
$223$	−3.54590	−	4.44642i	−0.237451	−	0.297754i	−0.886252	+	0.463204i	$0.846700\pi$
$224$	−2.23937	−	1.40897i	−0.149624	−	0.0941409i
$225$	7.97581	−	10.0013i	0.531721	−	0.666757i
$226$	3.86204	+	6.68925i	0.256899	+	0.444962i
$227$	−7.67344	+	13.2908i	−0.509304	+	0.882140i	0.490638	+	0.871364i	$0.336764\pi$
$227$	−7.67344	+	13.2908i	−0.509304	+	0.882140i	−0.999942	+	0.0107769i	$0.996570\pi$
$228$	−7.18273	−	18.3013i	−0.475688	−	1.21203i
$229$	19.2191	−	5.92832i	1.27004	−	0.391754i	0.414762	−	0.909930i	$-0.363865\pi$
$229$	19.2191	−	5.92832i	1.27004	−	0.391754i	0.855274	+	0.518175i	$0.173389\pi$
$230$	15.5990	−	7.51207i	1.02857	−	0.495331i
$231$	5.53926	−	7.49599i	0.364457	−	0.493200i
$232$	3.59823	+	1.73282i	0.236235	+	0.113765i
$233$	−4.63409	−	0.698476i	−0.303589	−	0.0457587i	−0.00451883	−	0.999990i	$-0.501438\pi$
$233$	−4.63409	−	0.698476i	−0.303589	−	0.0457587i	−0.299070	+	0.954231i	$0.596676\pi$
$234$	−0.120090	+	0.0818763i	−0.00785056	+	0.00535242i
$235$	10.7853	+	10.0073i	0.703554	+	0.652803i
$236$	−11.5304	−	7.86132i	−0.750568	−	0.511728i
$237$	−4.61686	−	20.2278i	−0.299897	−	1.31394i
$238$	8.86163	−	16.7426i	0.574414	−	1.08526i
$239$	−4.13730	+	18.1267i	−0.267619	+	1.17252i	0.645154	+	0.764052i	$0.276793\pi$
$239$	−4.13730	+	18.1267i	−0.267619	+	1.17252i	−0.912774	+	0.408465i	$0.866064\pi$
$240$	5.48090	−	5.08553i	0.353791	−	0.328270i
$241$	−12.3873	+	1.86709i	−0.797937	+	0.120270i	−0.535341	−	0.844636i	$-0.679817\pi$
$241$	−12.3873	+	1.86709i	−0.797937	+	0.120270i	−0.262596	+	0.964906i	$0.584579\pi$
$242$	−8.62511	−	2.66049i	−0.554443	−	0.171023i
$243$	1.67097	+	22.2976i	0.107193	+	1.43039i
$244$	−2.34392			−0.150054
$245$	9.03377	+	18.8167i	0.577146	+	1.20216i
$246$	−4.69492			−0.299337
$247$	−0.0259069	−	0.345704i	−0.00164842	−	0.0219966i
$248$	4.21635	+	1.30057i	0.267738	+	0.0825864i
$249$	0.725545	−	0.109358i	0.0459795	−	0.00693030i
$250$	2.42326	−	2.24846i	0.153260	−	0.142205i
$251$	−4.63349	+	20.3006i	−0.292463	+	1.28136i	0.588622	+	0.808408i	$0.299670\pi$
$251$	−4.63349	+	20.3006i	−0.292463	+	1.28136i	−0.881086	+	0.472957i	$0.843187\pi$
$252$	8.54676	−	1.61181i	0.538395	−	0.101534i
$253$	1.81524	+	7.95308i	0.114123	+	0.500006i
$254$	−6.31294	−	4.30409i	−0.396109	−	0.270063i
$255$	39.2424	+	36.4116i	2.45745	+	2.28018i
$256$	0.826239	−	0.563320i	0.0516399	−	0.0352075i
$257$	−6.78421	−	1.02255i	−0.423187	−	0.0637852i	−0.0660036	−	0.997819i	$-0.521025\pi$
$257$	−6.78421	−	1.02255i	−0.423187	−	0.0637852i	−0.357184	+	0.934034i	$0.616263\pi$
$258$	−8.14763	−	3.92369i	−0.507249	−	0.244278i
$259$	1.92119	−	1.01390i	0.119377	−	0.0630005i
$260$	0.118783	−	0.0572031i	0.00736664	−	0.00354759i
$261$	−12.5454	+	3.86974i	−0.776540	+	0.239531i
$262$	−4.92341	−	12.5446i	−0.304169	−	0.775010i
$263$	7.10323	−	12.3032i	0.438004	−	0.758645i	−0.559531	−	0.828809i	$-0.689019\pi$
$263$	7.10323	−	12.3032i	0.438004	−	0.758645i	0.997535	+	0.0701638i	$0.0223522\pi$
$264$	1.76142	+	3.05088i	0.108408	+	0.187768i
$265$	10.5458	−	13.2240i	0.647823	−	0.812345i
$266$	−6.86333	+	19.5765i	−0.420818	+	1.20031i
$267$	−16.6198	−	20.8406i	−1.01712	−	1.27542i
$268$	4.97482	−	12.6756i	0.303885	−	0.774288i
$269$	−0.440107	+	5.87282i	−0.0268338	+	0.358072i	0.967583	+	0.252552i	$0.0812698\pi$
$269$	−0.440107	+	5.87282i	−0.0268338	+	0.358072i	−0.994417	+	0.105520i	$0.966349\pi$
$270$	−0.160535	+	2.14219i	−0.00976984	+	0.130369i
$271$	6.06013	−	15.4410i	0.368127	−	0.937972i	−0.620037	−	0.784572i	$-0.712883\pi$
$271$	6.06013	−	15.4410i	0.368127	−	0.937972i	0.988164	−	0.153400i	$-0.0490221\pi$
$272$	4.46409	+	5.59779i	0.270675	+	0.339416i
$273$	0.291457	+	0.0330170i	0.0176398	+	0.00199828i
$274$	9.60106	−	12.0393i	0.580021	−	0.727323i
$275$	−2.73360	−	4.73474i	−0.164843	−	0.285516i
$276$	−7.27955	+	12.6085i	−0.438177	+	0.758945i
$277$	10.3069	+	26.2615i	0.619280	+	1.57790i	0.803689	+	0.595050i	$0.202868\pi$
$277$	10.3069	+	26.2615i	0.619280	+	1.57790i	−0.184409	+	0.982850i	$0.559037\pi$
$278$	−9.75335	+	3.00851i	−0.584967	+	0.180439i
$279$	−13.0684	+	6.29343i	−0.782387	+	0.376778i
$280$	−7.88387	+	0.290242i	−0.471152	+	0.0173453i
$281$	7.69522	+	3.70582i	0.459058	+	0.221071i	0.649097	−	0.760706i	$-0.275147\pi$
$281$	7.69522	+	3.70582i	0.459058	+	0.221071i	−0.190038	+	0.981777i	$0.560861\pi$
$282$	−12.2339	−	1.84397i	−0.728521	−	0.109807i
$283$	5.69147	−	3.88038i	0.338323	−	0.230665i	−0.382226	−	0.924069i	$-0.624842\pi$
$283$	5.69147	−	3.88038i	0.338323	−	0.230665i	0.720549	+	0.693404i	$0.243890\pi$
$284$	−2.37177	−	2.20068i	−0.140739	−	0.130587i
$285$	−48.4375	−	33.0241i	−2.86919	−	1.95618i
$286$	0.0138227	+	0.0605613i	0.000817355	+	0.00358107i
$287$	3.75295	+	3.23361i	0.221529	+	0.190874i
$288$	−0.731496	+	3.20489i	−0.0431038	+	0.188850i
$289$	−25.1168	+	23.3050i	−1.47746	+	1.37088i
$290$	11.7757	−	1.77490i	0.691492	−	0.104226i
$291$	−29.0866	−	8.97202i	−1.70509	−	0.525949i
$292$	0.429343	+	5.72919i	0.0251254	+	0.335275i
$293$	15.5596			0.909003			0.454502	−	0.890746i	$-0.349817\pi$
$293$	15.5596			0.909003			0.454502	+	0.890746i	$0.349817\pi$
$294$	−15.1900	−	8.79437i	−0.885901	−	0.512898i
$295$	−41.6126			−2.42278
$296$	0.0613577	+	0.818761i	0.00356634	+	0.0475895i
$297$	−0.967196	−	0.298340i	−0.0561224	−	0.0173115i
$298$	−11.9130	+	1.79559i	−0.690100	+	0.104016i
$299$	−0.188191	+	0.174615i	−0.0108833	+	0.0100983i
$300$	2.17124	−	9.51282i	0.125357	−	0.549223i
$301$	3.81049	+	8.74810i	0.219633	+	0.504232i
$302$	1.94396	+	8.51706i	0.111863	+	0.490102i
$303$	11.7323	+	7.99894i	0.674002	+	0.459527i
$304$	−5.74769	−	5.33308i	−0.329653	−	0.305873i
$305$	−5.77475	+	3.93715i	−0.330661	+	0.225441i
$306$	−23.2738	−	3.50796i	−1.33047	−	0.200537i
$307$	−7.88881	−	3.79905i	−0.450238	−	0.216823i	0.195002	−	0.980803i	$-0.437529\pi$
$307$	−7.88881	−	3.79905i	−0.450238	−	0.216823i	−0.645240	+	0.763980i	$0.723243\pi$
$308$	0.693260	−	3.65193i	0.0395022	−	0.208088i
$309$	8.89045	−	4.28142i	0.505760	−	0.243561i
$310$	12.5725	−	3.87810i	0.714069	−	0.220261i
$311$	−2.33253	−	5.94319i	−0.132266	−	0.337007i	0.849363	−	0.527809i	$-0.176986\pi$
$311$	−2.33253	−	5.94319i	−0.132266	−	0.337007i	−0.981629	+	0.190802i	$0.938891\pi$
$312$	−0.0554325	+	0.0960118i	−0.00313825	+	0.00543560i
$313$	−0.369874	−	0.640640i	−0.0209065	−	0.0362111i	0.855383	−	0.517996i	$-0.173322\pi$
$313$	−0.369874	−	0.640640i	−0.0209065	−	0.0362111i	−0.876289	+	0.481785i	$0.839989\pi$
$314$	1.11391	−	1.39680i	0.0628617	−	0.0788261i
$315$	18.3494	−	18.3273i	1.03387	−	1.03263i
$316$	−5.15908	−	6.46928i	−0.290221	−	0.363926i
$317$	−1.28666	+	3.27836i	−0.0722661	+	0.184131i	−0.962443	−	0.271484i	$-0.912485\pi$
$317$	−1.28666	+	3.27836i	−0.0722661	+	0.184131i	0.890177	+	0.455615i	$0.150581\pi$
$318$	−1.06290	+	14.1834i	−0.0596046	+	0.795368i
$319$	−0.419311	+	5.59532i	−0.0234769	+	0.313278i
$320$	1.08939	−	2.77572i	0.0608987	−	0.155167i
$321$	14.4446	+	18.1130i	0.806220	+	1.01097i
$322$	14.5031	−	5.06505i	0.808225	−	0.282264i
$323$	35.0019	−	43.8910i	1.94756	−	2.44216i
$324$	4.02775	+	6.97628i	0.223764	+	0.387571i
$325$	0.0860272	−	0.149003i	0.00477193	−	0.00826523i
$326$	4.05237	+	10.3253i	0.224440	+	0.571864i
$327$	−31.0337	+	9.57264i	−1.71617	+	0.529368i
$328$	−1.68696	+	0.812398i	−0.0931469	+	0.0448572i
$329$	8.50934	+	9.90008i	0.469135	+	0.545809i
$330$	9.46430	+	4.55777i	0.520993	+	0.250897i
$331$	27.7529	+	4.18307i	1.52544	+	0.229922i	0.857573	−	0.514363i	$-0.171971\pi$
$331$	27.7529	+	4.18307i	1.52544	+	0.229922i	0.667862	+	0.744285i	$0.267210\pi$
$332$	0.241777	−	0.164841i	0.0132692	−	0.00904681i
$333$	−1.97856	−	1.83583i	−0.108424	−	0.100603i
$334$	−3.35374	−	2.28654i	−0.183508	−	0.125114i
$335$	−9.03513	−	39.5855i	−0.493642	−	2.16279i
$336$	5.34015	−	3.93625i	0.291329	−	0.214740i
$337$	−0.898790	+	3.93786i	−0.0489602	+	0.214509i	−0.993490	−	0.113916i	$-0.963661\pi$
$337$	−0.898790	+	3.93786i	−0.0489602	+	0.214509i	0.944530	+	0.328425i	$0.106518\pi$
$338$	9.52824	−	8.84092i	0.518268	−	0.480882i
$339$	−19.1514	+	2.88661i	−1.04016	+	0.156779i
$340$	20.4010	+	6.29289i	1.10640	+	0.341280i
$341$	0.463265	+	6.18185i	0.0250872	+	0.334766i
$342$	25.7751			1.39376
$343$	6.08528	+	17.4920i	0.328574	+	0.944478i
$344$	−3.60652			−0.194451
$345$	3.24425	+	43.2915i	0.174665	+	2.33074i
$346$	−10.9383	−	3.37402i	−0.588048	−	0.181389i
$347$	−8.04773	+	1.21300i	−0.432025	+	0.0651173i	−0.361455	−	0.932390i	$-0.617720\pi$
$347$	−8.04773	+	1.21300i	−0.432025	+	0.0651173i	−0.0705699	+	0.997507i	$0.522482\pi$
$348$	−7.34085	+	6.81132i	−0.393511	+	0.365125i
$349$	6.53119	−	28.6150i	0.349607	−	1.53173i	−0.428469	−	0.903556i	$-0.640947\pi$
$349$	6.53119	−	28.6150i	0.349607	−	1.53173i	0.778076	−	0.628170i	$-0.216196\pi$
$350$	−8.28753	+	6.10877i	−0.442987	+	0.326528i
$351$	−0.00708797	−	0.0310544i	−0.000378328	−	0.00165756i
$352$	1.16083	+	0.791437i	0.0618722	+	0.0421838i
$353$	−20.9512	−	19.4399i	−1.11512	−	1.03468i	−0.999142	−	0.0414270i	$-0.986810\pi$
$353$	−20.9512	−	19.4399i	−1.11512	−	1.03468i	−0.115977	−	0.993252i	$-0.537000\pi$
$354$	28.9120	−	19.7119i	1.53666	−	1.04767i
$355$	−9.53993	−	1.43791i	−0.506327	−	0.0763165i
$356$	−9.57798	−	4.61251i	−0.507632	−	0.244463i
$357$	30.9614	+	36.0216i	1.63865	+	1.90647i
$358$	8.21333	−	3.95533i	0.434088	−	0.209046i
$359$	29.5971	−	9.12948i	1.56207	−	0.481836i	0.611215	−	0.791465i	$-0.290681\pi$
$359$	29.5971	−	9.12948i	1.56207	−	0.481836i	0.950857	+	0.309629i	$0.100205\pi$
$360$	3.58116	+	9.12466i	0.188744	+	0.480912i
$361$	−21.2388	+	36.7868i	−1.11783	+	1.93615i
$362$	−8.03003	−	13.9084i	−0.422049	−	0.731011i
$363$	14.1112	−	17.6948i	0.740644	−	0.928738i
$364$	0.110438	−	0.0385695i	0.00578855	−	0.00202159i
$365$	10.6813	+	13.3939i	0.559083	+	0.701068i
$366$	2.14721	−	5.47099i	0.112236	−	0.285973i
$367$	0.0801579	−	1.06963i	0.00418421	−	0.0558344i	−0.994721	−	0.102618i	$-0.967278\pi$
$367$	0.0801579	−	1.06963i	0.00418421	−	0.0558344i	0.998905	+	0.0467836i	$0.0148971\pi$
$368$	−0.433908	+	5.79009i	−0.0226190	+	0.301830i
$369$	2.24872	−	5.72964i	0.117064	−	0.298273i
$370$	1.52647	+	1.91413i	0.0793572	+	0.0995108i
$371$	10.6184	−	10.6057i	0.551282	−	0.550619i
$372$	−6.89818	+	8.65005i	−0.357654	+	0.448484i
$373$	−3.56049	−	6.16694i	−0.184355	−	0.319312i	0.759004	−	0.651086i	$-0.225686\pi$
$373$	−3.56049	−	6.16694i	−0.184355	−	0.319312i	−0.943359	+	0.331774i	$0.892353\pi$
$374$	−5.02962	+	8.71156i	−0.260075	+	0.450464i
$375$	3.02828	+	7.71594i	0.156380	+	0.398449i
$376$	−4.71494	+	1.45436i	−0.243154	+	0.0750031i
$377$	−0.159093	+	0.0766151i	−0.00819370	+	0.00394588i
$378$	−0.355487	+	1.87262i	−0.0182843	+	0.0963174i
$379$	9.67037	+	4.65700i	0.496734	+	0.239214i	0.665439	−	0.746452i	$-0.268244\pi$
$379$	9.67037	+	4.65700i	0.496734	+	0.239214i	−0.168705	+	0.985667i	$0.553959\pi$
$380$	−23.1188	−	3.48460i	−1.18597	−	0.178756i
$381$	15.8294	−	10.7923i	0.810965	−	0.552906i
$382$	0.224941	+	0.208715i	0.0115090	+	0.0106788i
$383$	8.34034	+	5.68635i	0.426172	+	0.290559i	0.757350	−	0.653009i	$-0.226494\pi$
$383$	8.34034	+	5.68635i	0.426172	+	0.290559i	−0.331178	+	0.943568i	$0.607446\pi$
$384$	0.557960	+	2.44458i	0.0284733	+	0.124750i
$385$	−4.42627	−	10.1618i	−0.225584	−	0.517894i
$386$	0.432148	−	1.89336i	0.0219958	−	0.0963697i
$387$	8.69090	−	8.06397i	0.441783	−	0.409915i
$388$	−12.0038	+	1.80928i	−0.609400	+	0.0918523i
$389$	−0.962849	−	0.296999i	−0.0488184	−	0.0150585i	0.270250	−	0.962790i	$-0.412894\pi$
$389$	−0.962849	−	0.296999i	−0.0488184	−	0.0150585i	−0.319068	+	0.947732i	$0.603370\pi$
$390$	0.0247044	+	0.329657i	0.00125096	+	0.0166929i
$391$	−41.5724			−2.10241
$392$	−6.97979	−	0.531513i	−0.352533	−	0.0268455i
$393$	33.7909			1.70453
$394$	0.640118	+	8.54178i	0.0322487	+	0.430329i
$395$	−23.5772	−	7.27259i	−1.18630	−	0.365924i
$396$	−4.56693	+	0.688354i	−0.229497	+	0.0345911i
$397$	7.41374	−	6.87895i	0.372085	−	0.345245i	−0.471861	−	0.881673i	$-0.656417\pi$
$397$	7.41374	−	6.87895i	0.372085	−	0.345245i	0.843946	+	0.536429i	$0.180227\pi$
$398$	−3.14341	+	13.7722i	−0.157565	+	0.690336i
$399$	−39.4065	−	33.9534i	−1.97279	−	1.69979i
$400$	−0.865915	−	3.79382i	−0.0432957	−	0.189691i
$401$	12.4868	+	8.51335i	0.623560	+	0.425136i	0.833455	−	0.552588i	$-0.186360\pi$
$401$	12.4868	+	8.51335i	0.623560	+	0.425136i	−0.209894	+	0.977724i	$0.567312\pi$
$402$	25.0292	+	23.2237i	1.24834	+	1.15829i
$403$	−0.161191	+	0.109898i	−0.00802948	+	0.00547441i
$404$	5.59972	+	0.844022i	0.278597	+	0.0419917i
$405$	21.6415	+	10.4220i	1.07538	+	0.517873i
$406$	10.5593	−	0.388736i	0.524048	−	0.0192926i
$407$	−1.03931	+	0.500504i	−0.0515166	+	0.0248091i
$408$	−17.1554	+	5.29173i	−0.849317	+	0.261980i
$409$	−2.77649	−	7.07439i	−0.137289	−	0.349806i	0.845650	−	0.533737i	$-0.179213\pi$
$409$	−2.77649	−	7.07439i	−0.137289	−	0.349806i	−0.982939	+	0.183931i	$0.941118\pi$
$410$	−2.79158	+	4.83516i	−0.137866	+	0.238792i
$411$	19.3060	+	33.4390i	0.952295	+	1.64942i
$412$	2.45364	−	3.07677i	0.120882	−	0.151581i
$413$	−36.6877	−	4.15607i	−1.80528	−	0.204507i
$414$	−11.9007	−	14.9230i	−0.584887	−	0.733425i
$415$	0.318781	−	0.812241i	0.0156484	−	0.0398714i
$416$	−0.00330413	+	0.0440906i	−0.000161998	+	0.00216172i
$417$	1.91257	−	25.5215i	0.0936592	−	1.24979i
$418$	4.02456	−	10.2544i	0.196848	−	0.501560i
$419$	−6.49539	−	8.14496i	−0.317320	−	0.397907i	0.597434	−	0.801918i	$-0.296187\pi$
$419$	−6.49539	−	8.14496i	−0.317320	−	0.397907i	−0.914754	+	0.404011i	$0.867616\pi$
$420$	6.54476	−	18.6678i	0.319352	−	0.910895i
$421$	−24.5326	+	30.7630i	−1.19565	+	1.49930i	−0.375813	+	0.926696i	$0.622636\pi$
$421$	−24.5326	+	30.7630i	−1.19565	+	1.49930i	−0.819835	+	0.572600i	$0.805935\pi$
$422$	3.86414	+	6.69289i	0.188104	+	0.325805i
$423$	8.11004	−	14.0470i	0.394324	−	0.682989i
$424$	2.07235	+	5.28027i	0.100642	+	0.256433i
$425$	26.6239	−	8.21239i	1.29145	−	0.398359i
$426$	7.30938	−	3.52001i	0.354141	−	0.170545i
$427$	−5.48452	+	2.89443i	−0.265414	+	0.140071i
$428$	8.32442	+	4.00883i	0.402376	+	0.193774i
$429$	−0.154020	−	0.0232148i	−0.00743616	−	0.00112082i
$430$	−8.88544	+	6.05799i	−0.428494	+	0.292142i
$431$	1.14317	+	1.06070i	0.0550644	+	0.0510923i	0.707225	−	0.706989i	$-0.249947\pi$
$431$	1.14317	+	1.06070i	0.0550644	+	0.0510923i	−0.652161	+	0.758081i	$0.726137\pi$
$432$	−0.595244	−	0.405830i	−0.0286387	−	0.0195255i
$433$	5.16225	+	22.6173i	0.248082	+	1.08692i	0.933446	+	0.358718i	$0.116786\pi$
$433$	5.16225	+	22.6173i	0.248082	+	1.08692i	−0.685364	+	0.728201i	$0.740357\pi$
$434$	11.4718	−	2.16344i	0.550666	−	0.103848i
$435$	−6.64458	+	29.1118i	−0.318583	+	1.39580i
$436$	−9.49451	+	8.80962i	−0.454704	+	0.421904i
$437$	45.0176	−	6.78531i	2.15348	−	0.324586i
$438$	−13.7659	−	4.24623i	−0.657761	−	0.202892i
$439$	−2.76164	−	36.8515i	−0.131806	−	1.75883i	−0.536059	−	0.844180i	$-0.680088\pi$
$439$	−2.76164	−	36.8515i	−0.131806	−	1.75883i	0.404253	−	0.914647i	$-0.367531\pi$
$440$	4.18934			0.199719
$441$	18.0081	−	14.3256i	0.857530	−	0.682170i
$442$	−0.316567			−0.0150575
$443$	−2.07160	−	27.6436i	−0.0984248	−	1.31339i	−0.799658	−	0.600456i	$-0.794986\pi$
$443$	−2.07160	−	27.6436i	−0.0984248	−	1.31339i	0.701233	−	0.712932i	$-0.252633\pi$
$444$	−1.96730	−	0.606830i	−0.0933637	−	0.0287989i
$445$	−31.3452	+	4.72453i	−1.48590	+	0.223964i
$446$	4.16900	−	3.86827i	0.197408	−	0.183168i
$447$	6.72205	−	29.4512i	0.317942	−	1.39299i
$448$	1.23768	−	2.33840i	0.0584751	−	0.110479i
$449$	0.383042	+	1.67822i	0.0180769	+	0.0791999i	0.983162	−	0.182737i	$-0.0584958\pi$
$449$	0.383042	+	1.67822i	0.0180769	+	0.0791999i	−0.965085	+	0.261937i	$0.915639\pi$
$450$	10.5694	+	7.20611i	0.498247	+	0.339699i
$451$	−1.92838	−	1.78927i	−0.0908037	−	0.0842535i
$452$	−6.38193	+	4.35113i	−0.300181	+	0.204660i
$453$	−21.6607	−	3.26482i	−1.01771	−	0.153395i
$454$	−13.8271	−	6.65876i	−0.648936	−	0.312511i
$455$	0.207302	−	0.280531i	0.00971848	−	0.0131515i
$456$	17.7134	−	8.53031i	0.829504	−	0.399468i
$457$	32.3067	−	9.96529i	1.51124	−	0.466157i	0.575191	−	0.818019i	$-0.304928\pi$
$457$	32.3067	−	9.96529i	1.51124	−	0.466157i	0.936052	+	0.351862i	$0.114452\pi$
$458$	7.34799	+	18.7224i	0.343349	+	0.874839i
$459$	2.57907	−	4.46708i	0.120381	−	0.208505i
$460$	8.65678	+	14.9940i	0.403624	+	0.699098i
$461$	5.31448	−	6.66415i	0.247520	−	0.310380i	−0.642514	−	0.766274i	$-0.722109\pi$
$461$	5.31448	−	6.66415i	0.247520	−	0.310380i	0.890034	+	0.455893i	$0.150680\pi$
$462$	7.88898	+	4.96360i	0.367028	+	0.230927i
$463$	−3.11052	−	3.90047i	−0.144558	−	0.181270i	0.704281	−	0.709921i	$-0.251270\pi$
$463$	−3.11052	−	3.90047i	−0.144558	−	0.181270i	−0.848839	+	0.528651i	$0.822698\pi$
$464$	−1.45908	+	3.71766i	−0.0677359	+	0.172588i
$465$	−2.46539	+	32.8983i	−0.114330	+	1.52562i
$466$	0.350217	−	4.67333i	0.0162235	−	0.216488i
$467$	2.02642	−	5.16323i	0.0937715	−	0.238926i	−0.876291	−	0.481783i	$-0.839989\pi$
$467$	2.02642	−	5.16323i	0.0937715	−	0.238926i	0.970062	+	0.242857i	$0.0780846\pi$
$468$	−0.0906217	−	0.113636i	−0.00418899	−	0.00525283i
$469$	−4.01219	−	35.8029i	−0.185266	−	1.65322i
$470$	−9.17331	+	11.5030i	−0.423133	+	0.530592i
$471$	2.23988	+	3.87958i	0.103208	+	0.178762i
$472$	6.97767	−	12.0857i	0.321173	−	0.556288i
$473$	−1.85118	−	4.71673i	−0.0851173	−	0.216875i
$474$	19.8262	−	6.11557i	0.910647	−	0.280897i
$475$	−27.4899	+	13.2384i	−1.26132	+	0.607421i
$476$	17.3580	+	7.58567i	0.795604	+	0.347689i
$477$	−16.8003	−	8.09058i	−0.769232	−	0.370442i
$478$	−18.3852	−	2.77112i	−0.840918	−	0.126748i
$479$	−23.3038	+	15.8883i	−1.06478	+	0.725953i	−0.963176	−	0.268872i	$-0.913349\pi$
$479$	−23.3038	+	15.8883i	−1.06478	+	0.725953i	−0.101602	+	0.994825i	$0.532397\pi$
$480$	5.48090	+	5.08553i	0.250168	+	0.232122i
$481$	−0.0299944	−	0.0204498i	−0.00136763	−	0.000932433i
$482$	−2.78757	−	12.2131i	−0.126970	−	0.556293i
$483$	−1.46347	+	38.4919i	−0.0665900	+	1.75144i
$484$	2.00850	−	8.79981i	0.0912954	−	0.399991i
$485$	−26.5348	+	24.6207i	−1.20488	+	1.11797i
$486$	−22.1103	+	3.33260i	−1.00295	+	0.151170i
$487$	−19.9279	−	6.14694i	−0.903018	−	0.278544i	−0.191733	−	0.981447i	$-0.561411\pi$
$487$	−19.9279	−	6.14694i	−0.903018	−	0.278544i	−0.711286	+	0.702903i	$0.751887\pi$
$488$	−0.175161	−	2.33736i	−0.00792918	−	0.105808i
$489$	−27.8127			−1.25773
$490$	−18.0890	+	10.4147i	−0.817178	+	0.470487i
$491$	−12.8953			−0.581956			−0.290978	−	0.956730i	$-0.593981\pi$
$491$	−12.8953			−0.581956			−0.290978	+	0.956730i	$0.593981\pi$
$492$	−0.350852	−	4.68179i	−0.0158176	−	0.211071i
$493$	−27.3242	−	8.42838i	−1.23062	−	0.379595i
$494$	0.342801	−	0.0516690i	0.0154234	−	0.00232470i
$495$	−10.0954	+	9.36713i	−0.453753	+	0.421021i
$496$	−0.981847	+	4.30175i	−0.0440862	+	0.193154i
$497$	−8.26725	−	2.22054i	−0.370837	−	0.0996047i
$498$	0.163272	+	0.715343i	0.00731641	+	0.0320553i
$499$	−17.8054	−	12.1395i	−0.797080	−	0.543440i	0.0949148	−	0.995485i	$-0.469742\pi$
$499$	−17.8054	−	12.1395i	−0.797080	−	0.543440i	−0.891995	+	0.452045i	$0.850695\pi$
$500$	2.42326	+	2.24846i	0.108372	+	0.100554i
$501$	8.40934	−	5.73339i	0.375701	−	0.256149i
$502$	−20.5901	−	3.10346i	−0.918983	−	0.138514i
$503$	20.7506	+	9.99294i	0.925221	+	0.445563i	0.834932	−	0.550352i	$-0.185507\pi$
$503$	20.7506	+	9.99294i	0.925221	+	0.445563i	0.0902890	+	0.995916i	$0.471221\pi$
$504$	2.24600	+	8.40241i	0.100045	+	0.374273i
$505$	15.2138	−	7.32660i	0.677007	−	0.326029i
$506$	−7.79519	+	2.40450i	−0.346539	+	0.106893i
$507$	11.9072	+	30.3390i	0.528817	+	1.34740i
$508$	3.82029	−	6.61694i	0.169498	−	0.293579i
$509$	15.3718	+	26.6247i	0.681342	+	1.18012i	0.974572	+	0.224077i	$0.0719366\pi$
$509$	15.3718	+	26.6247i	0.681342	+	1.18012i	−0.293230	+	0.956042i	$0.594730\pi$
$510$	−33.3772	+	41.8537i	−1.47797	+	1.85331i
$511$	8.07941	+	12.8755i	0.357412	+	0.569579i
$512$	0.623490	+	0.781831i	0.0275546	+	0.0345524i
$513$	−2.06370	+	5.25822i	−0.0911146	+	0.232156i
$514$	0.512711	−	6.84165i	0.0226147	−	0.301772i
$515$	0.876924	−	11.7017i	0.0386419	−	0.515640i
$516$	3.30385	−	8.41806i	0.145444	−	0.370585i
$517$	−4.32218	−	5.41984i	−0.190089	−	0.238364i
$518$	1.15463	+	1.84004i	0.0507316	+	0.0808469i
$519$	17.8957	−	22.4405i	0.785534	−	0.985029i
$520$	0.0659199	+	0.114177i	0.00289078	+	0.00500697i
$521$	−0.285784	+	0.494992i	−0.0125204	+	0.0216860i	−0.872218	−	0.489118i	$-0.837319\pi$
$521$	−0.285784	+	0.494992i	−0.0125204	+	0.0216860i	0.859697	+	0.510804i	$0.170652\pi$
$522$	−4.79644	−	12.2211i	−0.209934	−	0.534904i
$523$	3.39015	−	1.04572i	0.148241	−	0.0457263i	−0.219747	−	0.975557i	$-0.570523\pi$
$523$	3.39015	−	1.04572i	0.148241	−	0.0457263i	0.367988	+	0.929831i	$0.380047\pi$
$524$	12.1416	−	5.84710i	0.530410	−	0.255432i
$525$	−6.66661	−	24.9402i	−0.290955	−	1.08848i
$526$	12.7996	+	6.16395i	0.558088	+	0.268761i
$527$	−31.2391	−	4.70854i	−1.36080	−	0.205107i
$528$	−2.91071	+	1.98449i	−0.126673	+	0.0863639i
$529$	−7.85353	−	7.28701i	−0.341458	−	0.316826i
$530$	13.9751	+	9.52808i	0.607041	+	0.413873i
$531$	10.2083	+	44.7254i	0.443001	+	1.94092i
$532$	−20.0346	−	5.38119i	−0.868612	−	0.233304i
$533$	0.0184216	−	0.0807104i	0.000797929	−	0.00349596i
$534$	19.5403	−	18.1308i	0.845592	−	0.784595i
$535$	27.2428	−	4.10618i	1.17781	−	0.177526i
$536$	13.0120	+	4.01366i	0.562031	+	0.173364i
$537$	1.70819	+	22.7943i	0.0737141	+	0.983646i
$538$	−5.88929			−0.253905
$539$	−2.88750	−	9.40122i	−0.124374	−	0.404939i
$540$	−2.14820			−0.0924436
$541$	−3.10358	−	41.4144i	−0.133433	−	1.78054i	−0.515973	−	0.856605i	$-0.672569\pi$
$541$	−3.10358	−	41.4144i	−0.133433	−	1.78054i	0.382540	−	0.923939i	$-0.375050\pi$
$542$	15.8507	+	4.88928i	0.680844	+	0.210013i
$543$	39.8201	−	6.00191i	1.70884	−	0.257567i
$544$	−5.24854	+	4.86993i	−0.225029	+	0.208797i
$545$	−8.59396	+	37.6526i	−0.368125	+	1.61286i
$546$	−0.0111440	+	0.293109i	−0.000476921	+	0.0125439i
$547$	3.22104	+	14.1123i	0.137722	+	0.603398i	0.995933	+	0.0901010i	$0.0287190\pi$
$547$	3.22104	+	14.1123i	0.137722	+	0.603398i	−0.858211	+	0.513297i	$0.828424\pi$
$548$	12.7232	+	8.67451i	0.543507	+	0.370557i
$549$	5.64831	+	5.24086i	0.241064	+	0.223675i
$550$	4.51722	−	3.07979i	0.192615	−	0.131323i
$551$	30.9642	+	4.66710i	1.31912	+	0.198825i
$552$	−13.1173	−	6.31695i	−0.558309	−	0.268867i
$553$	−20.0604	−	8.76664i	−0.853056	−	0.372796i
$554$	−25.4178	+	12.2406i	−1.07990	+	0.520052i
$555$	−5.86617	+	1.80947i	−0.249005	+	0.0768078i
$556$	−3.72897	−	9.50126i	−0.158143	−	0.402943i
$557$	8.08219	−	13.9988i	0.342453	−	0.593147i	−0.642434	−	0.766341i	$-0.722075\pi$
$557$	8.08219	−	13.9988i	0.342453	−	0.593147i	0.984888	+	0.173194i	$0.0554088\pi$
$558$	−7.25244	−	12.5616i	−0.307020	−	0.531775i
$559$	0.0994214	−	0.124670i	0.00420508	−	0.00527300i
$560$	−0.878593	−	7.84014i	−0.0371273	−	0.331306i
$561$	−15.7263	−	19.7202i	−0.663966	−	0.832586i
$562$	−3.12040	+	7.95064i	−0.131626	+	0.335378i
$563$	0.0296107	−	0.395127i	0.00124794	−	0.0166526i	−0.996545	−	0.0830538i	$-0.973533\pi$
$563$	0.0296107	−	0.395127i	0.00124794	−	0.0166526i	0.997793	+	0.0664012i	$0.0211517\pi$
$564$	0.924571	−	12.3375i	0.0389314	−	0.519504i
$565$	−8.41453	+	21.4399i	−0.354002	+	0.901982i
$566$	4.29486	+	5.38558i	0.180526	+	0.226373i
$567$	18.0393	+	11.3500i	0.757579	+	0.476655i
$568$	2.01729	−	2.52960i	0.0846435	−	0.106140i
$569$	14.8748	+	25.7640i	0.623585	+	1.08008i	0.988813	+	0.149163i	$0.0476578\pi$
$569$	14.8748	+	25.7640i	0.623585	+	1.08008i	−0.365228	+	0.930918i	$0.619009\pi$
$570$	29.3120	−	50.7699i	1.22775	−	2.12652i
$571$	2.76925	+	7.05593i	0.115889	+	0.295282i	0.977036	−	0.213076i	$-0.0683481\pi$
$571$	2.76925	+	7.05593i	0.115889	+	0.295282i	−0.861146	+	0.508357i	$0.830253\pi$
$572$	−0.0593590	+	0.0183098i	−0.00248193	+	0.000765573i
$573$	−0.693230	+	0.333842i	−0.0289601	+	0.0139464i
$574$	−2.94411	+	3.98410i	−0.122885	+	0.166293i
$575$	20.3571	+	9.80346i	0.848949	+	0.408832i
$576$	−3.25060	−	0.489949i	−0.135442	−	0.0204145i
$577$	24.4598	−	16.6764i	1.01827	−	0.694247i	0.0654759	−	0.997854i	$-0.479143\pi$
$577$	24.4598	−	16.6764i	1.01827	−	0.694247i	0.952797	+	0.303607i	$0.0981911\pi$
$578$	−25.1168	−	23.3050i	−1.04472	−	0.969361i
$579$	4.02346	+	2.74315i	0.167209	+	0.114001i
$580$	2.64993	+	11.6101i	0.110032	+	0.482084i
$581$	0.362176	−	0.684273i	0.0150256	−	0.0283884i
$582$	6.77329	−	29.6757i	0.280762	−	1.23010i
$583$	−5.84200	+	5.42058i	−0.241951	+	0.224498i
$584$	−5.68108	+	0.856285i	−0.235085	+	0.0354333i
$585$	−0.414144	−	0.127746i	−0.0171227	−	0.00528167i
$586$	1.16277	+	15.5161i	0.0480337	+	0.640965i
$587$	26.1620			1.07982			0.539910	−	0.841723i	$-0.318458\pi$
$587$	26.1620			1.07982			0.539910	+	0.841723i	$0.318458\pi$
$588$	7.63463	−	15.8048i	0.314847	−	0.651778i
$589$	34.5965			1.42552
$590$	−3.10972	−	41.4963i	−0.128025	−	1.70837i
$591$	−20.5239	−	6.33080i	−0.844242	−	0.260414i
$592$	−0.811886	+	0.122372i	−0.0333683	+	0.00502947i
$593$	10.1355	−	9.40433i	0.416213	−	0.386190i	−0.444081	−	0.895986i	$-0.646470\pi$
$593$	10.1355	−	9.40433i	0.416213	−	0.386190i	0.860295	+	0.509797i	$0.170279\pi$
$594$	0.225228	−	0.986786i	0.00924120	−	0.0404883i
$595$	55.5071	−	10.4679i	2.27557	−	0.429143i
$596$	−2.68083	−	11.7455i	−0.109811	−	0.481113i
$597$	−29.2663	−	19.9534i	−1.19779	−	0.816639i
$598$	−0.188191	−	0.174615i	−0.00769569	−	0.00714055i
$599$	22.0336	−	15.0223i	0.900269	−	0.613793i	−0.0222468	−	0.999753i	$-0.507082\pi$
$599$	22.0336	−	15.0223i	0.900269	−	0.613793i	0.922516	+	0.385960i	$0.126130\pi$
$600$	9.64848	+	1.45427i	0.393897	+	0.0593705i
$601$	27.4128	+	13.2013i	1.11819	+	0.538493i	0.899333	−	0.437264i	$-0.144052\pi$
$601$	27.4128	+	13.2013i	1.11819	+	0.538493i	0.218859	+	0.975757i	$0.429767\pi$
$602$	−8.43888	+	4.45358i	−0.343943	+	0.181514i
$603$	−40.3302	+	19.4220i	−1.64237	+	0.790924i
$604$	−8.34797	+	2.57501i	−0.339674	+	0.104776i
$605$	−9.83295	−	25.0539i	−0.399766	−	1.01859i
$606$	−7.09981	+	12.2972i	−0.288410	+	0.499541i
$607$	−4.65489	−	8.06250i	−0.188936	−	0.327247i	0.755960	−	0.654618i	$-0.227171\pi$
$607$	−4.65489	−	8.06250i	−0.188936	−	0.327247i	−0.944896	+	0.327371i	$0.893837\pi$
$608$	4.88864	−	6.13016i	0.198261	−	0.248611i
$609$	−8.76573	+	25.0027i	−0.355205	+	1.01316i
$610$	−4.35769	−	5.46437i	−0.176438	−	0.221246i
$611$	0.0797025	−	0.203079i	0.00322442	−	0.00821568i
$612$	1.75890	−	23.4708i	0.0710992	−	0.948753i
$613$	−1.59613	+	21.2989i	−0.0644671	+	0.860254i	0.867436	+	0.497548i	$0.165766\pi$
$613$	−1.59613	+	21.2989i	−0.0644671	+	0.860254i	−0.931904	+	0.362706i	$0.881853\pi$
$614$	3.19890	−	8.15065i	0.129097	−	0.328934i
$615$	−8.72855	−	10.9453i	−0.351969	−	0.441355i
$616$	3.69353	+	0.418412i	0.148817	+	0.0168583i
$617$	−18.7753	+	23.5435i	−0.755866	+	0.947826i	−0.999758	−	0.0219767i	$-0.993004\pi$
$617$	−18.7753	+	23.5435i	−0.755866	+	0.947826i	0.243893	+	0.969802i	$0.421575\pi$
$618$	4.93383	+	8.54564i	0.198468	+	0.343756i
$619$	−8.31262	+	14.3979i	−0.334113	+	0.578700i	−0.983314	−	0.181917i	$-0.941770\pi$
$619$	−8.31262	+	14.3979i	−0.334113	+	0.578700i	0.649201	+	0.760617i	$0.275103\pi$
$620$	4.80680	+	12.2475i	0.193046	+	0.491872i
$621$	3.99719	−	1.23297i	0.160402	−	0.0494774i
$622$	5.75226	−	2.77014i	0.230645	−	0.111073i
$623$	−28.1073	+	1.03476i	−1.12610	+	0.0414568i
$624$	−0.0998858	−	0.0481025i	−0.00399863	−	0.00192564i
$625$	28.9866	+	4.36903i	1.15947	+	0.174761i
$626$	0.611208	−	0.416715i	0.0244288	−	0.0166553i
$627$	20.2482	+	18.7876i	0.808637	+	0.750306i
$628$	1.47614	+	1.00641i	0.0589044	+	0.0401603i
$629$	−1.30812	−	5.73125i	−0.0521582	−	0.228520i
$630$	19.6473	+	16.9285i	0.782767	+	0.674446i
$631$	6.04350	−	26.4783i	0.240588	−	1.05408i	−0.699896	−	0.714245i	$-0.746770\pi$
$631$	6.04350	−	26.4783i	0.240588	−	1.05408i	0.940484	−	0.339839i	$-0.110373\pi$
$632$	6.06566	−	5.62811i	0.241279	−	0.223874i
$633$	−19.1619	+	2.88819i	−0.761616	+	0.114795i
$634$	−3.36534	−	1.03807i	−0.133655	−	0.0412271i
$635$	−1.70258	−	22.7193i	−0.0675647	−	0.901588i
$636$	−14.2232			−0.563987
$637$	0.210786	−	0.226625i	0.00835164	−	0.00897923i
$638$	−5.61100			−0.222142
$639$	0.794831	+	10.6063i	0.0314430	+	0.419578i
$640$	2.84937	+	0.878914i	0.112631	+	0.0347421i
$641$	28.2143	−	4.25262i	1.11440	−	0.167968i	0.434072	−	0.900878i	$-0.357076\pi$
$641$	28.2143	−	4.25262i	1.11440	−	0.167968i	0.680326	+	0.732910i	$0.261838\pi$
$642$	−16.9829	+	15.7578i	−0.670261	+	0.621911i
$643$	−1.72015	+	7.53648i	−0.0678362	+	0.297210i	−0.997454	−	0.0713159i	$-0.977280\pi$
$643$	−1.72015	+	7.53648i	−0.0678362	+	0.297210i	0.929618	+	0.368526i	$0.120137\pi$
$644$	6.13471	+	14.0840i	0.241741	+	0.554988i
$645$	−6.00035	−	26.2893i	−0.236264	−	1.03514i
$646$	46.3840	+	31.6241i	1.82495	+	1.24423i
$647$	−17.4293	−	16.1720i	−0.685216	−	0.635788i	0.258706	−	0.965956i	$-0.416704\pi$
$647$	−17.4293	−	16.1720i	−0.685216	−	0.635788i	−0.943922	+	0.330169i	$0.892894\pi$
$648$	−6.65577	+	4.53783i	−0.261463	+	0.178263i
$649$	19.3876	+	2.92221i	0.761029	+	0.114707i
$650$	0.155016	+	0.0746516i	0.00608021	+	0.00292808i
$651$	−5.45934	+	28.7585i	−0.213968	+	1.12714i
$652$	−9.99356	+	4.81265i	−0.391378	+	0.188478i
$653$	−16.2989	+	5.02754i	−0.637825	+	0.196743i	−0.596768	−	0.802414i	$-0.703549\pi$
$653$	−16.2989	+	5.02754i	−0.637825	+	0.196743i	−0.0410570	+	0.999157i	$0.513073\pi$
$654$	−11.8650	−	30.2316i	−0.463959	−	1.18215i
$655$	20.0920	−	34.8003i	0.785058	−	1.35976i
$656$	−0.936193	−	1.62153i	−0.0365522	−	0.0633103i
$657$	11.7755	−	14.7660i	0.459406	−	0.576077i
$658$	−9.23650	+	9.22538i	−0.360076	+	0.359643i
$659$	26.7737	+	33.5732i	1.04296	+	1.30783i	0.950032	+	0.312152i	$0.101050\pi$
$659$	26.7737	+	33.5732i	1.04296	+	1.30783i	0.0929239	+	0.995673i	$0.470379\pi$
$660$	−3.83775	+	9.77844i	−0.149384	+	0.380625i
$661$	−3.44173	+	45.9267i	−0.133868	+	1.78634i	0.376529	+	0.926405i	$0.377117\pi$
$661$	−3.44173	+	45.9267i	−0.133868	+	1.78634i	−0.510397	+	0.859939i	$0.670502\pi$
$662$	−2.09740	+	27.9879i	−0.0815178	+	1.08778i
$663$	0.289999	−	0.738905i	0.0112626	−	0.0286967i
$664$	0.182448	+	0.228782i	0.00708035	+	0.00887848i
$665$	−58.3986	+	20.3951i	−2.26460	+	0.790888i
$666$	1.68284	−	2.11022i	0.0652089	−	0.0817693i
$667$	−11.5945	−	20.0822i	−0.448940	−	0.777586i
$668$	2.02952	−	3.51523i	0.0785245	−	0.136008i
$669$	5.20989	+	13.2746i	0.201426	+	0.513225i
$670$	38.7996	−	11.9681i	1.49896	−	0.462368i
$671$	2.96697	−	1.42882i	0.114539	−	0.0551590i
$672$	4.32431	+	5.03106i	0.166814	+	0.194077i
$673$	−37.4751	−	18.0471i	−1.44456	−	0.695664i	−0.462920	−	0.886400i	$-0.653198\pi$
$673$	−37.4751	−	18.0471i	−1.44456	−	0.695664i	−0.981641	+	0.190737i	$0.938912\pi$
$674$	−3.99401	−	0.602000i	−0.153844	−	0.0231882i
$675$	−2.31632	+	1.57924i	−0.0891553	+	0.0607850i
$676$	9.52824	+	8.84092i	0.366471	+	0.340035i
$677$	−38.1648	−	26.0203i	−1.46679	−	1.00004i	−0.992835	−	0.119493i	$-0.961873\pi$
$677$	−38.1648	−	26.0203i	−1.46679	−	1.00004i	−0.473956	−	0.880548i	$-0.657174\pi$
$678$	−4.30973	−	18.8822i	−0.165514	−	0.725165i
$679$	−25.8534	+	19.0566i	−0.992161	+	0.731326i
$680$	−4.75072	+	20.8143i	−0.182182	+	0.798190i
$681$	28.2090	−	26.1741i	1.08097	−	1.00299i
$682$	−6.12994	+	0.923940i	−0.234728	+	0.0353795i
$683$	34.7767	+	10.7272i	1.33069	+	0.410465i	0.876913	−	0.480649i	$-0.159599\pi$
$683$	34.7767	+	10.7272i	1.33069	+	0.410465i	0.453780	+	0.891114i	$0.350075\pi$
$684$	1.92617	+	25.7030i	0.0736491	+	0.982779i
$685$	45.9171			1.75440
$686$	−16.9883	+	7.37544i	−0.648617	+	0.281596i
$687$	−50.4316			−1.92409
$688$	−0.269516	−	3.59644i	−0.0102752	−	0.137113i
$689$	−0.239657	−	0.0739245i	−0.00913022	−	0.00281630i
$690$	−42.9280	+	6.47036i	−1.63424	+	0.246322i
$691$	−31.4096	+	29.1439i	−1.19488	+	1.10869i	−0.203309	+	0.979115i	$0.565169\pi$
$691$	−31.4096	+	29.1439i	−1.19488	+	1.10869i	−0.991570	+	0.129571i	$0.958640\pi$
$692$	2.54717	−	11.1599i	0.0968288	−	0.424235i
$693$	−9.83611	+	7.25024i	−0.373643	+	0.275414i
$694$	−1.81102	−	7.93458i	−0.0687452	−	0.301193i
$695$	−25.1467	−	17.1447i	−0.953868	−	0.650336i
$696$	−7.34085	−	6.81132i	−0.278254	−	0.258182i
$697$	11.0766	−	7.55187i	0.419554	−	0.286047i
$698$	29.0231	+	4.37453i	1.09854	+	0.165578i
$699$	10.5873	+	5.09857i	0.400448	+	0.192845i
$700$	−6.71102	−	7.80784i	−0.253653	−	0.295109i
$701$	−27.2931	+	13.1436i	−1.03084	+	0.496428i	−0.871294	−	0.490761i	$-0.836719\pi$
$701$	−27.2931	+	13.1436i	−1.03084	+	0.496428i	−0.159550	+	0.987190i	$0.551004\pi$
$702$	0.0304379	−	0.00938885i	0.00114880	−	0.000354359i
$703$	2.35196	+	5.99270i	0.0887060	+	0.226019i
$704$	−0.702476	+	1.21672i	−0.0264756	+	0.0458570i
$705$	−18.4459	−	31.9492i	−0.694712	−	1.20328i
$706$	17.8198	−	22.3453i	0.670657	−	0.840978i
$707$	14.1450	−	4.94000i	0.531978	−	0.185788i
$708$	21.8174	+	27.3581i	0.819947	+	1.02818i
$709$	8.61305	−	21.9457i	0.323470	−	0.824188i	−0.672953	−	0.739685i	$-0.734974\pi$
$709$	8.61305	−	21.9457i	0.323470	−	0.824188i	0.996423	−	0.0845032i	$-0.0269303\pi$
$710$	0.720972	−	9.62071i	0.0270576	−	0.361059i
$711$	−2.03273	+	27.1249i	−0.0762333	+	1.01726i
$712$	3.88385	−	9.89589i	0.145553	−	0.370864i
$713$	−15.9736	−	20.0303i	−0.598217	−	0.750141i
$714$	−33.6071	+	33.5667i	−1.25772	+	1.25620i
$715$	−0.115488	+	0.144817i	−0.00431901	+	0.00541587i
$716$	4.55805	+	7.89478i	0.170342	+	0.295042i
$717$	23.3103	−	40.3747i	0.870540	−	1.50782i
$718$	11.3157	+	28.8320i	0.422300	+	1.07600i
$719$	−18.5668	+	5.72709i	−0.692424	+	0.213584i	−0.620941	−	0.783857i	$-0.713249\pi$
$719$	−18.5668	+	5.72709i	−0.692424	+	0.213584i	−0.0714828	+	0.997442i	$0.522773\pi$
$720$	−8.83152	+	4.25304i	−0.329131	+	0.158501i
$721$	1.94185	−	10.2292i	0.0723184	−	0.380956i
$722$	−38.2711	−	18.4304i	−1.42430	−	0.685908i
$723$	31.0606	+	4.68163i	1.15516	+	0.174112i
$724$	13.2694	−	9.04696i	0.493155	−	0.336227i
$725$	11.3925	+	10.5707i	0.423106	+	0.392585i
$726$	18.6999	+	12.7494i	0.694018	+	0.473173i
$727$	4.53323	+	19.8614i	0.168128	+	0.736618i	0.986745	+	0.162278i	$0.0518842\pi$
$727$	4.53323	+	19.8614i	0.168128	+	0.736618i	−0.818617	+	0.574340i	$0.805259\pi$
$728$	0.0467147	+	0.107247i	0.00173136	+	0.00397485i
$729$	7.09848	−	31.1005i	0.262907	−	1.15187i
$730$	−12.5582	+	11.6523i	−0.464801	+	0.431272i
$731$	25.5337	−	3.84859i	0.944399	−	0.142345i
$732$	5.61615	+	1.73235i	0.207579	+	0.0640296i
$733$	1.60886	+	21.4687i	0.0594246	+	0.792966i	0.944708	+	0.327913i	$0.106345\pi$
$733$	1.60886	+	21.4687i	0.0594246	+	0.792966i	−0.885283	+	0.465052i	$0.846036\pi$
$734$	1.07263			0.0395916
$735$	−7.73824	−	51.7626i	−0.285429	−	1.90929i
$736$	−5.80633			−0.214024
$737$	1.42967	+	19.0776i	0.0526626	+	0.702733i
$738$	5.88167	+	1.81425i	0.216507	+	0.0667836i
$739$	−18.5639	+	2.79807i	−0.682886	+	0.102928i	−0.481318	−	0.876546i	$-0.659842\pi$
$739$	−18.5639	+	2.79807i	−0.682886	+	0.102928i	−0.201568	+	0.979475i	$0.564604\pi$
$740$	−1.79470	+	1.66524i	−0.0659746	+	0.0612155i
$741$	−0.193430	+	0.847472i	−0.00710583	+	0.0311327i
$742$	11.3695	+	9.79618i	0.417388	+	0.359629i
$743$	−3.84550	−	16.8482i	−0.141078	−	0.618102i	−0.995186	−	0.0980063i	$-0.968753\pi$
$743$	−3.84550	−	16.8482i	−0.141078	−	0.618102i	0.854108	−	0.520096i	$-0.174104\pi$
$744$	−9.14136	−	6.23248i	−0.335139	−	0.228494i
$745$	−26.3340	−	24.4344i	−0.964805	−	0.895208i
$746$	5.88362	−	4.01139i	0.215415	−	0.146867i
$747$	−0.951202	−	0.143371i	−0.0348027	−	0.00524566i
$748$	−9.06306	−	4.36454i	−0.331378	−	0.159583i
$749$	24.4286	−	0.899332i	0.892603	−	0.0328609i
$750$	−7.46806	+	3.59643i	−0.272695	+	0.131323i
$751$	−28.9998	+	8.94526i	−1.05822	+	0.326417i	−0.774555	−	0.632507i	$-0.782026\pi$
$751$	−28.9998	+	8.94526i	−1.05822	+	0.326417i	−0.283663	+	0.958924i	$0.591550\pi$
$752$	−1.80265	−	4.59307i	−0.0657357	−	0.167492i
$753$	26.1060	−	45.2169i	0.951354	−	1.64779i
$754$	−0.0882899	−	0.152923i	−0.00321533	−	0.00556911i
$755$	−16.2417	+	20.3664i	−0.591096	+	0.741211i
$756$	−1.89395	−	0.214552i	−0.0688824	−	0.00780317i
$757$	9.82401	+	12.3189i	0.357060	+	0.447739i	0.927625	−	0.373514i	$-0.121847\pi$
$757$	9.82401	+	12.3189i	0.357060	+	0.447739i	−0.570565	+	0.821252i	$0.693276\pi$
$758$	−3.92131	+	9.99135i	−0.142429	+	0.362902i
$759$	1.52859	−	20.3976i	0.0554843	−	0.740387i
$760$	1.74719	−	23.3146i	0.0633771	−	0.845708i
$761$	−5.19626	+	13.2398i	−0.188364	+	0.479944i	−0.993593	−	0.113021i	$-0.963947\pi$
$761$	−5.19626	+	13.2398i	−0.188364	+	0.479944i	0.805229	+	0.592965i	$0.202043\pi$
$762$	11.9451	+	14.9786i	0.432724	+	0.542619i
$763$	−11.3374	+	32.3380i	−0.410442	+	1.17072i
$764$	−0.191322	+	0.239910i	−0.00692178	+	0.00867963i
$765$	−35.0913	−	60.7799i	−1.26873	−	2.19750i
$766$	−5.04717	+	8.74196i	−0.182362	+	0.315860i
$767$	0.225424	+	0.574371i	0.00813959	+	0.0207393i
$768$	−2.39605	+	0.739084i	−0.0864601	+	0.0266694i
$769$	−4.09014	+	1.96971i	−0.147494	+	0.0710294i	−0.506175	−	0.862431i	$-0.668941\pi$
$769$	−4.09014	+	1.96971i	−0.147494	+	0.0710294i	0.358681	+	0.933460i	$0.383227\pi$
$770$	9.80262	−	5.17329i	0.353262	−	0.186432i
$771$	15.4996	+	7.46420i	0.558203	+	0.268817i
$772$	1.92037	+	0.289448i	0.0691155	+	0.0104175i
$773$	−12.8480	+	8.75960i	−0.462110	+	0.315061i	−0.771900	−	0.635744i	$-0.780693\pi$
$773$	−12.8480	+	8.75960i	−0.462110	+	0.315061i	0.309790	+	0.950805i	$0.399741\pi$
$774$	8.69090	+	8.06397i	0.312388	+	0.289854i
$775$	14.1867	+	9.67236i	0.509603	+	0.347441i
$776$	−2.70126	−	11.8350i	−0.0969697	−	0.424852i
$777$	−5.35262	+	1.00943i	−0.192024	+	0.0362132i
$778$	0.224215	−	0.982351i	0.00803851	−	0.0352190i
$779$	−10.7619	+	9.98559i	−0.385585	+	0.357771i
$780$	−0.326889	+	0.0492707i	−0.0117045	+	0.00176417i
$781$	4.34374	+	1.33987i	0.155431	+	0.0479441i
$782$	−3.10671	−	41.4562i	−0.111096	−	1.48247i
$783$	2.87719			0.102822
$784$	0.00842635	−	6.99999i	0.000300941	−	0.250000i
$785$	5.32729			0.190139
$786$	2.52520	+	33.6964i	0.0900709	+	1.20191i
$787$	45.7417	+	14.1095i	1.63052	+	0.502948i	0.969016	−	0.246997i	$-0.0794437\pi$
$787$	45.7417	+	14.1095i	1.63052	+	0.502948i	0.661501	+	0.749945i	$0.269920\pi$
$788$	−8.47006	+	1.27666i	−0.301733	+	0.0454790i
$789$	−26.1128	+	24.2291i	−0.929640	+	0.862580i
$790$	5.49033	−	24.0547i	0.195337	−	0.855828i
$791$	−9.55997	+	18.0620i	−0.339913	+	0.642212i
$792$	−1.02772	−	4.50272i	−0.0365183	−	0.159997i
$793$	0.0856268	+	0.0583794i	0.00304070	+	0.00207311i
$794$	7.41374	+	6.87895i	0.263104	+	0.244125i
$795$	−35.0419	+	23.8912i	−1.24281	+	0.847333i
$796$	−13.9686	−	2.10542i	−0.495102	−	0.0746247i
$797$	−10.9762	−	5.28584i	−0.388795	−	0.187234i	0.229266	−	0.973364i	$-0.426367\pi$
$797$	−10.9762	−	5.28584i	−0.388795	−	0.187234i	−0.618061	+	0.786130i	$0.712082\pi$
$798$	30.9136	−	41.8337i	1.09433	−	1.48090i
$799$	31.8292	−	15.3281i	1.12604	−	0.542270i
$800$	3.71850	−	1.14701i	0.131469	−	0.0405528i
$801$	12.7674	+	32.5309i	0.451115	+	1.14942i
$802$	−7.55640	+	13.0881i	−0.266826	+	0.462156i
$803$	−4.03590	−	6.99038i	−0.142424	−	0.246685i
$804$	−21.2883	+	26.6947i	−0.750780	+	0.941449i
$805$	38.7715	+	24.3943i	1.36652	+	0.859787i
$806$	−0.121636	−	0.152527i	−0.00428446	−	0.00537255i
$807$	5.39503	−	13.7463i	0.189914	−	0.483893i
$808$	−0.423194	+	5.64714i	−0.0148879	+	0.198666i
$809$	2.53836	−	33.8720i	0.0892439	−	1.19088i	−0.755296	−	0.655384i	$-0.772507\pi$
$809$	2.53836	−	33.8720i	0.0892439	−	1.19088i	0.844540	−	0.535493i	$-0.179874\pi$
$810$	−8.77559	+	22.3598i	−0.308343	+	0.785644i
$811$	−21.6233	−	27.1147i	−0.759295	−	0.952126i	0.240533	−	0.970641i	$-0.422678\pi$
$811$	−21.6233	−	27.1147i	−0.759295	−	0.952126i	−0.999829	+	0.0185146i	$0.994106\pi$
$812$	1.17674	+	10.5007i	0.0412956	+	0.368502i
$813$	−25.9326	+	32.5184i	−0.909495	+	1.14047i
$814$	−0.576773	−	0.998999i	−0.0202159	−	0.0350149i
$815$	−16.5373	+	28.6435i	−0.579277	+	1.00334i
$816$	−6.55896	−	16.7119i	−0.229609	−	0.585035i
$817$	−27.0216	+	8.33506i	−0.945367	+	0.291607i
$818$	6.84712	−	3.29740i	0.239404	−	0.115291i
$819$	−0.352371	−	0.153990i	−0.0123128	−	0.00538085i
$820$	−5.03026	−	2.42244i	−0.175664	−	0.0845954i
$821$	11.2829	+	1.70063i	0.393777	+	0.0593523i	0.342946	−	0.939355i	$-0.388575\pi$
$821$	11.2829	+	1.70063i	0.393777	+	0.0593523i	0.0508304	+	0.998707i	$0.483813\pi$
$822$	−31.9027	+	21.7509i	−1.11274	+	0.758650i
$823$	−21.2903	−	19.7545i	−0.742133	−	0.688599i	0.215528	−	0.976498i	$-0.430853\pi$
$823$	−21.2903	−	19.7545i	−0.742133	−	0.688599i	−0.957661	+	0.287899i	$0.907043\pi$
$824$	3.25153	+	2.21685i	0.113272	+	0.0772277i
$825$	3.05049	+	13.3651i	0.106204	+	0.465311i
$826$	1.40278	−	36.8957i	0.0488089	−	1.28377i
$827$	8.55572	−	37.4851i	0.297512	−	1.30348i	−0.576308	−	0.817233i	$-0.695507\pi$
$827$	8.55572	−	37.4851i	0.297512	−	1.30348i	0.873819	−	0.486251i	$-0.161636\pi$
$828$	13.9919	−	12.9826i	0.486253	−	0.451177i
$829$	1.19452	−	0.180045i	0.0414874	−	0.00625323i	−0.128266	−	0.991740i	$-0.540941\pi$
$829$	1.19452	−	0.180045i	0.0414874	−	0.00625323i	0.169753	+	0.985487i	$0.445703\pi$
$830$	0.833793	+	0.257191i	0.0289414	+	0.00892723i
$831$	−5.28636	−	70.5415i	−0.183382	−	2.44706i
$832$	−0.0442142			−0.00153285
$833$	49.9832	−	3.68523i	1.73182	−	0.127686i
$834$	25.5931			0.886216
$835$	−0.904490	−	12.0696i	−0.0313012	−	0.417685i
$836$	10.5265	+	3.24699i	0.364067	+	0.112300i
$837$	3.14329	−	0.473774i	0.108648	−	0.0163760i
$838$	7.63678	−	7.08590i	0.263808	−	0.244778i
$839$	−7.34013	+	32.1592i	−0.253409	+	1.11026i	0.674741	+	0.738055i	$0.264255\pi$
$839$	−7.34013	+	32.1592i	−0.253409	+	1.11026i	−0.928151	+	0.372205i	$0.878602\pi$
$840$	19.1047	+	5.13141i	0.659174	+	0.177051i
$841$	2.90392	+	12.7229i	0.100135	+	0.438720i
$842$	−32.5103	−	22.1651i	−1.12038	−	0.763861i
$843$	−15.6992	−	14.5668i	−0.540711	−	0.501706i
$844$	−6.38541	+	4.35350i	−0.219795	+	0.149854i
$845$	38.3252	+	5.77660i	1.31843	+	0.198721i
$846$	14.6138	+	7.03763i	0.502433	+	0.241959i
$847$	−6.16693	−	23.0708i	−0.211898	−	0.792723i
$848$	−5.11064	+	2.46115i	−0.175500	+	0.0845164i
$849$	−16.5050	+	5.09112i	−0.566450	+	0.174727i
$850$	10.1790	+	25.9357i	0.349138	+	0.889589i
$851$	2.38366	−	4.12863i	0.0817109	−	0.141527i
$852$	4.05640	+	7.02589i	0.138970	+	0.240703i
$853$	−25.7542	+	32.2948i	−0.881808	+	1.10575i	0.111897	+	0.993720i	$0.464307\pi$
$853$	−25.7542	+	32.2948i	−0.881808	+	1.10575i	−0.993705	+	0.112032i	$0.964264\pi$
$854$	−3.29620	−	5.25288i	−0.112794	−	0.179750i
$855$	47.9197	+	60.0894i	1.63882	+	2.05501i
$856$	−3.37554	+	8.60072i	−0.115373	+	0.293967i
$857$	0.332980	−	4.44331i	0.0113744	−	0.151781i	−0.988625	−	0.150404i	$-0.951943\pi$
$857$	0.332980	−	4.44331i	0.0113744	−	0.151781i	0.999999	−	0.00137697i	$-0.000438303\pi$
$858$	0.0116399	−	0.155324i	0.000397381	−	0.00530269i
$859$	3.05484	−	7.78360i	0.104230	−	0.265573i	−0.869239	−	0.494391i	$-0.835391\pi$
$859$	3.05484	−	7.78360i	0.104230	−	0.265573i	0.973469	+	0.228818i	$0.0734862\pi$
$860$	−6.70506	−	8.40788i	−0.228641	−	0.286706i
$861$	−6.60235	−	10.5216i	−0.225008	−	0.358576i
$862$	−0.972309	+	1.21924i	−0.0331170	+	0.0415274i
$863$	17.8662	+	30.9451i	0.608171	+	1.05338i	0.991542	+	0.129789i	$0.0414300\pi$
$863$	17.8662	+	30.9451i	0.608171	+	1.05338i	−0.383370	+	0.923595i	$0.625237\pi$
$864$	0.360213	−	0.623907i	0.0122547	−	0.0212257i
$865$	−12.4701	−	31.7733i	−0.423996	−	1.08032i
$866$	−22.1683	+	6.83801i	−0.753309	+	0.232365i
$867$	77.4057	−	37.2766i	2.62883	−	1.26598i
$868$	3.01468	+	11.2781i	0.102325	+	0.382803i
$869$	10.4740	+	5.04403i	0.355307	+	0.171107i
$870$	−29.5269	−	4.45047i	−1.00106	−	0.150885i
$871$	−0.497446	+	0.339153i	−0.0168553	+	0.0114918i
$872$	−9.49451	−	8.80962i	−0.321525	−	0.298331i
$873$	32.9718	+	22.4798i	1.11593	+	0.760826i
$874$	10.1305	+	44.3847i	0.342670	+	1.50133i
$875$	8.44672	+	2.26874i	0.285551	+	0.0766975i
$876$	3.20562	−	14.0448i	0.108308	−	0.474528i
$877$	11.3479	−	10.5293i	0.383192	−	0.355550i	−0.464934	−	0.885346i	$-0.653922\pi$
$877$	11.3479	−	10.5293i	0.383192	−	0.355550i	0.848125	+	0.529796i	$0.177731\pi$
$878$	36.5421	−	5.50784i	1.23324	−	0.185880i
$879$	−37.2817	−	11.4999i	−1.25748	−	0.387881i
$880$	0.313070	+	4.17763i	0.0105536	+	0.140828i
$881$	−45.7438			−1.54115			−0.770573	−	0.637351i	$-0.780030\pi$
$881$	−45.7438			−1.54115			−0.770573	+	0.637351i	$0.780030\pi$
$882$	15.6313	+	16.8872i	0.526332	+	0.568623i
$883$	30.6088			1.03007			0.515035	−	0.857169i	$-0.327779\pi$
$883$	30.6088			1.03007			0.515035	+	0.857169i	$0.327779\pi$
$884$	−0.0236571	−	0.315682i	−0.000795673	−	0.0106175i
$885$	99.7060	+	30.7552i	3.35158	+	1.03383i
$886$	27.4115	−	4.13162i	0.920908	−	0.138805i
$887$	−8.79307	+	8.15878i	−0.295242	+	0.273945i	−0.813860	−	0.581062i	$-0.802637\pi$
$887$	−8.79307	+	8.15878i	−0.295242	+	0.273945i	0.518617	+	0.855007i	$0.326447\pi$
$888$	0.458117	−	2.00714i	0.0153734	−	0.0673553i
$889$	0.768024	−	20.2005i	0.0257587	−	0.677502i
$890$	−7.05375	−	30.9045i	−0.236442	−	1.03592i
$891$	−9.35104	−	6.37543i	−0.313272	−	0.213585i
$892$	4.16900	+	3.86827i	0.139589	+	0.129519i
$893$	−31.9651	+	21.7934i	−1.06967	+	0.729290i
$894$	29.8712	+	4.50236i	0.999042	+	0.150581i
$895$	24.4908	+	11.7942i	0.818639	+	0.394236i
$896$	2.42436	+	1.05947i	0.0809921	+	0.0353945i
$897$	0.579970	−	0.279299i	0.0193646	−	0.00932552i
$898$	−1.64490	+	0.507384i	−0.0548910	+	0.0169316i
$899$	−6.43799	−	16.4037i	−0.214719	−	0.547095i
$900$	−6.39610	+	11.0784i	−0.213203	+	0.369279i
$901$	−20.3067	−	35.1722i	−0.676514	−	1.17176i
$902$	1.64016	−	2.05670i	0.0546114	−	0.0684805i
$903$	−2.66455	−	23.7772i	−0.0886708	−	0.791255i
$904$	−4.81589	−	6.03893i	−0.160174	−	0.200852i
$905$	17.4957	−	44.5782i	0.581576	−	1.48183i
$906$	1.63699	−	21.8441i	0.0543853	−	0.725721i
$907$	−1.39110	+	18.5629i	−0.0461907	+	0.616372i	0.925291	+	0.379258i	$0.123821\pi$
$907$	−1.39110	+	18.5629i	−0.0461907	+	0.616372i	−0.971482	+	0.237114i	$0.923798\pi$
$908$	5.60684	−	14.2860i	0.186070	−	0.474098i
$909$	−11.6069	−	14.5545i	−0.384975	−	0.482744i
$910$	0.295238	+	0.185759i	0.00978706	+	0.00615784i
$911$	−33.4164	+	41.9028i	−1.10713	+	1.38830i	−0.193823	+	0.981036i	$0.562089\pi$
$911$	−33.4164	+	41.9028i	−1.10713	+	1.38830i	−0.913310	+	0.407265i	$0.866483\pi$
$912$	9.83018	+	17.0264i	0.325510	+	0.563799i
$913$	−0.205561	+	0.356042i	−0.00680308	+	0.0117833i
$914$	12.3517	+	31.4716i	0.408558	+	1.04099i
$915$	16.7465	−	5.16561i	0.553622	−	0.170770i
$916$	−18.1209	+	8.72657i	−0.598732	+	0.288334i
$917$	21.1897	−	28.6749i	0.699746	−	0.946929i
$918$	4.64732	+	2.23803i	0.153384	+	0.0738661i
$919$	53.9796	+	8.13612i	1.78062	+	0.268386i	0.955164	−	0.296076i	$-0.0956782\pi$
$919$	53.9796	+	8.13612i	1.78062	+	0.268386i	0.825459	+	0.564462i	$0.190916\pi$
$920$	−14.3051	+	9.75308i	−0.471626	+	0.321549i
$921$	16.0942	+	14.9332i	0.530321	+	0.492066i
$922$	7.04267	+	4.80161i	0.231938	+	0.158133i
$923$	0.0318325	+	0.139467i	0.00104778	+	0.00459062i
$924$	−4.36017	+	8.23785i	−0.143439	+	0.271005i
$925$	−0.710965	+	3.11494i	−0.0233764	+	0.102419i
$926$	3.65712	−	3.39331i	0.120180	−	0.111511i
$927$	−12.7922	+	1.92811i	−0.420150	+	0.0633275i
$928$	−3.81630	−	1.17717i	−0.125276	−	0.0386426i
$929$	2.30409	+	30.7459i	0.0755947	+	1.00874i	0.898045	+	0.439904i	$0.144988\pi$
$929$	2.30409	+	30.7459i	0.0755947	+	1.00874i	−0.822450	+	0.568837i	$0.807393\pi$
$930$	−32.9906			−1.08180
$931$	−53.5240	+	12.1487i	−1.75418	+	0.398158i
$932$	4.68643			0.153509
$933$	1.19635	+	15.9641i	0.0391666	+	0.522642i
$934$	5.30023	+	1.63490i	0.173429	+	0.0534957i
$935$	−29.6600	+	4.47053i	−0.969987	+	0.146202i
$936$	0.106546	−	0.0988603i	0.00348257	−	0.00323135i
$937$	2.99143	−	13.1063i	0.0977257	−	0.428164i	−0.902270	−	0.431172i	$-0.858100\pi$
$937$	2.99143	−	13.1063i	0.0977257	−	0.428164i	0.999995	+	0.00300772i	$0.000957390\pi$
$938$	35.4029	−	6.67653i	1.15595	−	0.217996i
$939$	0.412750	+	1.80838i	0.0134696	+	0.0590141i
$940$	−12.1563	−	8.28804i	−0.396496	−	0.270326i
$941$	−14.8013	−	13.7336i	−0.482510	−	0.447703i	0.401027	−	0.916066i	$-0.368653\pi$
$941$	−14.8013	−	13.7336i	−0.482510	−	0.447703i	−0.883536	+	0.468363i	$0.844844\pi$
$942$	−3.70135	+	2.52354i	−0.120596	+	0.0822212i
$943$	10.7503	+	1.62034i	0.350077	+	0.0527656i
$944$	12.5733	+	6.05499i	0.409227	+	0.197073i
$945$	−5.02655	+	2.65274i	−0.163514	+	0.0862936i
$946$	4.56520	−	2.19849i	0.148428	−	0.0714789i
$947$	−22.5503	+	6.95585i	−0.732786	+	0.226035i	−0.638620	−	0.769522i	$-0.720495\pi$
$947$	−22.5503	+	6.95585i	−0.732786	+	0.226035i	−0.0941659	+	0.995557i	$0.530018\pi$
$948$	7.58008	+	19.3137i	0.246190	+	0.627281i
$949$	0.127011	−	0.219989i	0.00412294	−	0.00714115i
$950$	−15.2557	−	26.4237i	−0.494961	−	0.857298i
$951$	5.50589	−	6.90417i	0.178541	−	0.223883i
$952$	−6.26729	+	17.8764i	−0.203124	+	0.579377i
$953$	−19.6690	−	24.6641i	−0.637141	−	0.798949i	0.353502	−	0.935434i	$-0.384991\pi$
$953$	−19.6690	−	24.6641i	−0.637141	−	0.798949i	−0.990642	+	0.136485i	$0.956419\pi$
$954$	6.81248	−	17.3579i	0.220562	−	0.561983i
$955$	−0.0683778	+	0.912438i	−0.00221265	+	0.0295258i
$956$	1.38944	−	18.5409i	0.0449379	−	0.599654i
$957$	5.14010	−	13.0968i	0.166156	−	0.423358i
$958$	−17.5853	−	22.0513i	−0.568156	−	0.712445i
$959$	40.4827	+	4.58598i	1.30726	+	0.148089i
$960$	−4.66172	+	5.84562i	−0.150457	+	0.188667i
$961$	5.76545	+	9.98606i	0.185982	+	0.322131i
$962$	0.0181512	−	0.0314388i	0.000585217	−	0.00101363i
$963$	−11.0964	−	28.2733i	−0.357578	−	0.911094i
$964$	11.9707	−	3.69246i	0.385550	−	0.118926i
$965$	5.21743	−	2.51258i	0.167955	−	0.0808828i
$966$	−38.4937	+	1.41713i	−1.23851	+	0.0455954i
$967$	32.3162	+	15.5627i	1.03922	+	0.500462i	0.874067	−	0.485806i	$-0.161474\pi$
$967$	32.3162	+	15.5627i	1.03922	+	0.500462i	0.165153	+	0.986268i	$0.447188\pi$
$968$	8.92530	+	1.34527i	0.286870	+	0.0432387i
$969$	−116.306	+	79.2958i	−3.73627	+	2.54735i
$970$	−26.5348	−	24.6207i	−0.851981	−	0.790523i
$971$	−2.33335	−	1.59085i	−0.0748809	−	0.0510530i	0.525301	−	0.850917i	$-0.323953\pi$
$971$	−2.33335	−	1.59085i	−0.0748809	−	0.0510530i	−0.600182	+	0.799864i	$0.704905\pi$
$972$	−4.97559	−	21.7995i	−0.159592	−	0.699218i
$973$	−20.4582	−	17.6271i	−0.655859	−	0.565100i
$974$	4.64054	−	20.3315i	0.148692	−	0.651464i
$975$	−0.316252	+	0.293439i	−0.0101282	+	0.00939756i
$976$	2.31774	−	0.349343i	0.0741890	−	0.0111822i
$977$	−22.3345	−	6.88929i	−0.714545	−	0.220408i	−0.0838943	−	0.996475i	$-0.526736\pi$
$977$	−22.3345	−	6.88929i	−0.714545	−	0.220408i	−0.630651	+	0.776067i	$0.717212\pi$
$978$	−2.07845	−	27.7349i	−0.0664614	−	0.886865i
$979$	14.9357			0.477347
$980$	−11.7374	−	17.2601i	−0.374936	−	0.551355i
$981$	42.5774			1.35939
$982$	−0.963665	−	12.8592i	−0.0307518	−	0.410354i
$983$	−35.9770	−	11.0974i	−1.14749	−	0.353953i	−0.338033	−	0.941134i	$-0.609762\pi$
$983$	−35.9770	−	11.0974i	−1.14749	−	0.353953i	−0.809456	+	0.587181i	$0.800238\pi$
$984$	4.64248	−	0.699741i	0.147997	−	0.0223069i
$985$	−18.7234	+	17.3727i	−0.596576	+	0.553542i
$986$	6.36288	−	27.8776i	0.202635	−	0.887804i
$987$	−13.0718	−	30.0102i	−0.416081	−	0.955236i
$988$	0.0771421	+	0.337981i	0.00245422	+	0.0107526i
$989$	17.3020	+	11.7963i	0.550171	+	0.375100i
$990$	−10.0954	−	9.36713i	−0.320852	−	0.297707i
$991$	24.3062	−	16.5717i	0.772111	−	0.526417i	−0.111991	−	0.993709i	$-0.535723\pi$
$991$	24.3062	−	16.5717i	0.772111	−	0.526417i	0.884103	+	0.467293i	$0.154771\pi$
$992$	−4.36310	−	0.657631i	−0.138528	−	0.0208798i
$993$	−63.4057	−	30.5346i	−2.01212	−	0.968985i
$994$	1.59652	−	8.41007i	0.0506384	−	0.266751i
$995$	−37.9511	+	18.2763i	−1.20313	+	0.579397i
$996$	−0.701142	+	0.216274i	−0.0222165	+	0.00685289i
$997$	14.8445	+	37.8233i	0.470131	+	1.19787i	0.947667	+	0.319262i	$0.103435\pi$
$997$	14.8445	+	37.8233i	0.470131	+	1.19787i	−0.477535	+	0.878612i	$0.658470\pi$
$998$	10.7750	−	18.6628i	0.341076	−	0.590761i
$999$	0.295755	+	0.512263i	0.00935728	+	0.0162073i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.g.b.81.1	yes	24
3.2	odd	2		882.2.z.b.865.2		24
4.3	odd	2		784.2.bg.b.81.2		24
7.2	even	3		686.2.g.f.373.2		24
7.3	odd	6		686.2.e.d.197.1		24
7.4	even	3		686.2.e.c.197.4		24
7.5	odd	6		686.2.g.d.373.1		24
7.6	odd	2		686.2.g.e.459.2		24
49.4	even	21		686.2.e.c.491.4		24
49.11	even	21		4802.2.a.o.1.1		12
49.22	even	7		686.2.g.f.263.2		24
49.23	even	21	inner	98.2.g.b.23.1	✓	24
49.26	odd	42		686.2.g.e.275.2		24
49.27	odd	14		686.2.g.d.263.1		24
49.38	odd	42		4802.2.a.l.1.12		12
49.45	odd	42		686.2.e.d.491.1		24
147.23	odd	42		882.2.z.b.415.2		24
196.23	odd	42		784.2.bg.b.513.2		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.g.b.23.1	✓	24	49.23	even	21	inner
98.2.g.b.81.1	yes	24	1.1	even	1	trivial
686.2.e.c.197.4		24	7.4	even	3
686.2.e.c.491.4		24	49.4	even	21
686.2.e.d.197.1		24	7.3	odd	6
686.2.e.d.491.1		24	49.45	odd	42
686.2.g.d.263.1		24	49.27	odd	14
686.2.g.d.373.1		24	7.5	odd	6
686.2.g.e.275.2		24	49.26	odd	42
686.2.g.e.459.2		24	7.6	odd	2
686.2.g.f.263.2		24	49.22	even	7
686.2.g.f.373.2		24	7.2	even	3
784.2.bg.b.81.2		24	4.3	odd	2
784.2.bg.b.513.2		24	196.23	odd	42
882.2.z.b.415.2		24	147.23	odd	42
882.2.z.b.865.2		24	3.2	odd	2
4802.2.a.l.1.12		12	49.38	odd	42
4802.2.a.o.1.1		12	49.11	even	21

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.g (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0747301 + 0.997204i) q^{2} +(-2.39605 - 0.739084i) q^{3} +(-0.988831 + 0.149042i) q^{4} +(-2.18585 + 2.02817i) q^{5} +(0.557960 - 2.44458i) q^{6} +(-2.12971 + 1.56982i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(2.71611 + 1.85181i) q^{9} +O(q^{10})\)	\(q+(0.0747301 + 0.997204i) q^{2} +(-2.39605 - 0.739084i) q^{3} +(-0.988831 + 0.149042i) q^{4} +(-2.18585 + 2.02817i) q^{5} +(0.557960 - 2.44458i) q^{6} +(-2.12971 + 1.56982i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(2.71611 + 1.85181i) q^{9} +(-2.18585 - 2.02817i) q^{10} +(1.16083 - 0.791437i) q^{11} +(2.47945 + 0.373716i) q^{12} +(0.0398356 + 0.0191838i) q^{13} +(-1.72458 - 2.00644i) q^{14} +(6.73639 - 3.24407i) q^{15} +(0.955573 - 0.294755i) q^{16} +(2.61579 + 6.66491i) q^{17} +(-1.64366 + 2.84690i) q^{18} +(-3.92039 - 6.79031i) q^{19} +(1.85915 - 2.33130i) q^{20} +(6.26313 - 2.18733i) q^{21} +(0.875973 + 1.09844i) q^{22} +(-2.12129 + 5.40496i) q^{23} +(-0.187382 + 2.50044i) q^{24} +(0.290804 - 3.88050i) q^{25} +(-0.0161533 + 0.0411578i) q^{26} +(-0.449178 - 0.563252i) q^{27} +(1.87195 - 1.86970i) q^{28} +(-2.49005 + 3.12243i) q^{29} +(3.73841 + 6.47512i) q^{30} +(-2.20619 + 3.82123i) q^{31} +(0.365341 + 0.930874i) q^{32} +(-3.36634 + 1.03838i) q^{33} +(-6.45080 + 3.10654i) q^{34} +(1.47136 - 7.75079i) q^{35} +(-2.96177 - 1.42631i) q^{36} +(-0.811886 - 0.122372i) q^{37} +(6.47835 - 4.41686i) q^{38} +(-0.0812697 - 0.0754073i) q^{39} +(2.46371 + 1.67973i) q^{40} +(-0.416645 - 1.82544i) q^{41} +(2.64926 + 6.08216i) q^{42} +(0.802527 - 3.51610i) q^{43} +(-1.02990 + 0.955610i) q^{44} +(-9.69277 + 1.46095i) q^{45} +(-5.54837 - 1.71145i) q^{46} +(-0.368729 - 4.92035i) q^{47} -2.50745 q^{48} +(2.07134 - 6.68652i) q^{49} +3.89139 q^{50} +(-1.34163 - 17.9028i) q^{51} +(-0.0422499 - 0.0130324i) q^{52} +(-5.60902 + 0.845424i) q^{53} +(0.528109 - 0.490014i) q^{54} +(-0.932217 + 4.08431i) q^{55} +(2.00437 + 1.72700i) q^{56} +(4.37484 + 19.1674i) q^{57} +(-3.29978 - 2.24975i) q^{58} +(10.2300 + 9.49204i) q^{59} +(-6.17764 + 4.21185i) q^{60} +(2.31774 + 0.349343i) q^{61} +(-3.97542 - 1.91446i) q^{62} +(-8.69153 + 0.319976i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-0.125982 + 0.0388604i) q^{65} +(-1.28704 - 3.27933i) q^{66} +(-6.80846 + 11.7926i) q^{67} +(-3.57992 - 6.20061i) q^{68} +(9.07744 - 11.3828i) q^{69} +(7.83908 + 0.888030i) q^{70} +(2.01729 + 2.52960i) q^{71} +(1.20099 - 3.06007i) q^{72} +(0.429343 - 5.72919i) q^{73} +(0.0613577 - 0.818761i) q^{74} +(-3.56480 + 9.08296i) q^{75} +(4.88864 + 6.13016i) q^{76} +(-1.22981 + 3.50782i) q^{77} +(0.0691232 - 0.0866777i) q^{78} +(4.13726 + 7.16595i) q^{79} +(-1.49092 + 2.58235i) q^{80} +(-2.94301 - 7.49866i) q^{81} +(1.78920 - 0.551896i) q^{82} +(-0.263645 + 0.126965i) q^{83} +(-5.86717 + 3.09637i) q^{84} +(-19.2353 - 9.26322i) q^{85} +(3.56624 + 0.537524i) q^{86} +(8.27404 - 5.64114i) q^{87} +(-1.02990 - 0.955610i) q^{88} +(8.78354 + 5.98852i) q^{89} +(-2.18121 - 9.55649i) q^{90} +(-0.114953 + 0.0216787i) q^{91} +(1.29203 - 5.66075i) q^{92} +(8.11036 - 7.52531i) q^{93} +(4.87904 - 0.735396i) q^{94} +(22.3412 + 6.89136i) q^{95} +(-0.187382 - 2.50044i) q^{96} +12.1394 q^{97} +(6.82262 + 1.56586i) q^{98} +4.61852 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9}+O(q^{10}) \) 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9	\( 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9} - 11 q^{11} - 14 q^{13} + 9 q^{15} + 2 q^{16} - 7 q^{17} - 9 q^{18} - 14 q^{19} - 7 q^{20} - 7 q^{21} + q^{22} - 29 q^{23} - 8 q^{25} - 7 q^{26} - 7 q^{27} + 14 q^{28} + 13 q^{29} - 8 q^{30} - 28 q^{31} + 2 q^{32} - 14 q^{33} - 7 q^{34} - 35 q^{35} - 17 q^{36} + 20 q^{37} + 35 q^{38} + 56 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 6 q^{43} + 3 q^{44} + 7 q^{45} + 34 q^{46} + 42 q^{47} + 14 q^{48} + 28 q^{49} + 16 q^{50} + 32 q^{51} - 7 q^{52} - 60 q^{53} + 21 q^{54} - 14 q^{55} + 7 q^{56} + 23 q^{57} + 18 q^{58} + 49 q^{59} + 6 q^{60} - 14 q^{61} - 28 q^{63} - 4 q^{64} - 28 q^{65} + 21 q^{66} + 24 q^{67} - 14 q^{68} + 7 q^{69} - 28 q^{70} + 6 q^{71} - 2 q^{72} - 35 q^{73} - 15 q^{74} - 56 q^{75} + 49 q^{77} + 6 q^{79} - 14 q^{80} - 45 q^{81} - 14 q^{82} - 77 q^{83} - 21 q^{84} - 33 q^{85} - 38 q^{86} + 63 q^{87} + 3 q^{88} - 21 q^{90} - 21 q^{91} - 5 q^{92} - 38 q^{93} - 35 q^{94} + 86 q^{95} + 98 q^{97} + 28 q^{98} - 106 q^{99}+O(q^{100}) \) 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9 - 11 * q^11 - 14 * q^13 + 9 * q^15 + 2 * q^16 - 7 * q^17 - 9 * q^18 - 14 * q^19 - 7 * q^20 - 7 * q^21 + q^22 - 29 * q^23 - 8 * q^25 - 7 * q^26 - 7 * q^27 + 14 * q^28 + 13 * q^29 - 8 * q^30 - 28 * q^31 + 2 * q^32 - 14 * q^33 - 7 * q^34 - 35 * q^35 - 17 * q^36 + 20 * q^37 + 35 * q^38 + 56 * q^39 + 14 * q^40 + 28 * q^41 - 21 * q^42 + 6 * q^43 + 3 * q^44 + 7 * q^45 + 34 * q^46 + 42 * q^47 + 14 * q^48 + 28 * q^49 + 16 * q^50 + 32 * q^51 - 7 * q^52 - 60 * q^53 + 21 * q^54 - 14 * q^55 + 7 * q^56 + 23 * q^57 + 18 * q^58 + 49 * q^59 + 6 * q^60 - 14 * q^61 - 28 * q^63 - 4 * q^64 - 28 * q^65 + 21 * q^66 + 24 * q^67 - 14 * q^68 + 7 * q^69 - 28 * q^70 + 6 * q^71 - 2 * q^72 - 35 * q^73 - 15 * q^74 - 56 * q^75 + 49 * q^77 + 6 * q^79 - 14 * q^80 - 45 * q^81 - 14 * q^82 - 77 * q^83 - 21 * q^84 - 33 * q^85 - 38 * q^86 + 63 * q^87 + 3 * q^88 - 21 * q^90 - 21 * q^91 - 5 * q^92 - 38 * q^93 - 35 * q^94 + 86 * q^95 + 98 * q^97 + 28 * q^98 - 106 * q^99

Introduction

L-functions

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