LMFDB - Embedded newform 462.2.ba.b.19.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(19,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([0, 25, 9]))

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

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

chi := DirichletCharacter("462.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.ba (of order $30$, degree $8$, 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:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$8$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			19.1
Character	$\chi$	$=$	462.19
Dual form			462.2.ba.b.73.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.994522 + 0.104528i) q^{2} +(-0.743145 - 0.669131i) q^{3} +(0.978148 - 0.207912i) q^{4} +(-1.44711 - 3.25025i) q^{5} +(0.809017 + 0.587785i) q^{6} +(1.04897 + 2.42892i) q^{7} +(-0.951057 + 0.309017i) q^{8} +(0.104528 + 0.994522i) q^{9} +O(q^{10})$	\(q+(-0.994522 + 0.104528i) q^{2} +(-0.743145 - 0.669131i) q^{3} +(0.978148 - 0.207912i) q^{4} +(-1.44711 - 3.25025i) q^{5} +(0.809017 + 0.587785i) q^{6} +(1.04897 + 2.42892i) q^{7} +(-0.951057 + 0.309017i) q^{8} +(0.104528 + 0.994522i) q^{9} +(1.77892 + 3.08119i) q^{10} +(2.70714 - 1.91609i) q^{11} +(-0.866025 - 0.500000i) q^{12} +(2.98635 - 2.16971i) q^{13} +(-1.29711 - 2.30597i) q^{14} +(-1.09944 + 3.38371i) q^{15} +(0.913545 - 0.406737i) q^{16} +(0.604849 - 5.75475i) q^{17} +(-0.207912 - 0.978148i) q^{18} +(-7.78258 - 1.65424i) q^{19} +(-2.09125 - 2.87836i) q^{20} +(0.845733 - 2.50694i) q^{21} +(-2.49203 + 2.18856i) q^{22} +(-3.20956 + 5.55911i) q^{23} +(0.913545 + 0.406737i) q^{24} +(-5.12438 + 5.69121i) q^{25} +(-2.74319 + 2.46998i) q^{26} +(0.587785 - 0.809017i) q^{27} +(1.53105 + 2.15775i) q^{28} +(-6.46051 - 2.09915i) q^{29} +(0.739718 - 3.48010i) q^{30} +(-0.575719 + 1.29309i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-3.29391 - 0.387501i) q^{33} +5.78645i q^{34} +(6.37665 - 6.92432i) q^{35} +(0.309017 + 0.951057i) q^{36} +(-4.47880 - 4.97421i) q^{37} +(7.91286 + 0.831675i) q^{38} +(-3.67110 - 0.385849i) q^{39} +(2.38066 + 2.64400i) q^{40} +(-0.290753 - 0.894847i) q^{41} +(-0.579054 + 2.58161i) q^{42} -10.0105i q^{43} +(2.24961 - 2.43706i) q^{44} +(3.08119 - 1.77892i) q^{45} +(2.61089 - 5.86415i) q^{46} +(-0.0366467 + 0.172409i) q^{47} +(-0.951057 - 0.309017i) q^{48} +(-4.79934 + 5.09572i) q^{49} +(4.50142 - 6.19567i) q^{50} +(-4.30017 + 3.87189i) q^{51} +(2.46998 - 2.74319i) q^{52} +(3.48078 + 1.54974i) q^{53} +(-0.500000 + 0.866025i) q^{54} +(-10.1453 - 6.02612i) q^{55} +(-1.74821 - 1.98589i) q^{56} +(4.67668 + 6.43690i) q^{57} +(6.64454 + 1.41234i) q^{58} +(-1.24332 - 5.84934i) q^{59} +(-0.371896 + 3.53836i) q^{60} +(3.94759 - 1.75758i) q^{61} +(0.437401 - 1.34618i) q^{62} +(-2.30597 + 1.29711i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-11.3737 - 6.56659i) q^{65} +(3.31637 + 0.0410712i) q^{66} +(6.04943 + 10.4779i) q^{67} +(-0.604849 - 5.75475i) q^{68} +(6.10494 - 1.98361i) q^{69} +(-5.61793 + 7.55293i) q^{70} +(0.866083 + 0.629246i) q^{71} +(-0.406737 - 0.913545i) q^{72} +(6.62823 - 1.40887i) q^{73} +(4.97421 + 4.47880i) q^{74} +(7.61632 - 0.800507i) q^{75} -7.95645 q^{76} +(7.49373 + 4.56553i) q^{77} +3.69133 q^{78} +(5.68174 - 0.597175i) q^{79} +(-2.64400 - 2.38066i) q^{80} +(-0.978148 + 0.207912i) q^{81} +(0.382698 + 0.859553i) q^{82} +(3.64104 + 2.64537i) q^{83} +(0.306030 - 2.62799i) q^{84} +(-19.5797 + 6.36183i) q^{85} +(1.04639 + 9.95570i) q^{86} +(3.39649 + 5.88289i) q^{87} +(-1.98254 + 2.65886i) q^{88} +(-14.3393 - 8.27880i) q^{89} +(-2.87836 + 2.09125i) q^{90} +(8.40263 + 4.97765i) q^{91} +(-1.98361 + 6.10494i) q^{92} +(1.29309 - 0.575719i) q^{93} +(0.0184243 - 0.175295i) q^{94} +(5.88553 + 27.6892i) q^{95} +(0.978148 + 0.207912i) q^{96} +(4.19057 + 5.76783i) q^{97} +(4.24040 - 5.56947i) q^{98} +(2.18856 + 2.49203i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 8 q^{4} - 2 q^{5} + 16 q^{6} + 16 q^{7} - 8 q^{9}+O(q^{10}) $ 64 * q - 8 * q^4 - 2 * q^5 + 16 * q^6 + 16 * q^7 - 8 * q^9	$ 64 q - 8 q^{4} - 2 q^{5} + 16 q^{6} + 16 q^{7} - 8 q^{9} - 2 q^{10} + 4 q^{11} + 2 q^{14} - 6 q^{15} + 8 q^{16} + 30 q^{17} - 10 q^{19} - 20 q^{20} + 4 q^{21} - 2 q^{22} + 4 q^{23} + 8 q^{24} - 12 q^{26} - 20 q^{29} - 18 q^{30} + 34 q^{31} + 8 q^{33} - 2 q^{35} - 16 q^{36} - 14 q^{37} + 12 q^{38} - 18 q^{39} + 12 q^{40} + 28 q^{41} + 4 q^{42} + 6 q^{44} - 12 q^{45} + 42 q^{46} + 24 q^{47} - 44 q^{49} + 14 q^{51} - 32 q^{54} + 14 q^{55} - 4 q^{56} - 10 q^{58} - 30 q^{59} + 2 q^{60} - 28 q^{61} + 8 q^{62} + 16 q^{63} + 16 q^{64} - 12 q^{65} - 4 q^{66} + 16 q^{67} - 30 q^{68} - 30 q^{70} - 24 q^{71} - 116 q^{73} - 44 q^{74} + 12 q^{75} - 32 q^{77} - 18 q^{80} + 8 q^{81} - 28 q^{82} - 8 q^{83} - 2 q^{84} - 80 q^{85} - 18 q^{86} - 10 q^{87} - 14 q^{88} - 24 q^{89} - 4 q^{90} + 48 q^{91} + 8 q^{92} + 76 q^{93} + 6 q^{94} + 98 q^{95} - 8 q^{96} - 120 q^{97} - 40 q^{98} + 8 q^{99}+O(q^{100}) $ 64 * q - 8 * q^4 - 2 * q^5 + 16 * q^6 + 16 * q^7 - 8 * q^9 - 2 * q^10 + 4 * q^11 + 2 * q^14 - 6 * q^15 + 8 * q^16 + 30 * q^17 - 10 * q^19 - 20 * q^20 + 4 * q^21 - 2 * q^22 + 4 * q^23 + 8 * q^24 - 12 * q^26 - 20 * q^29 - 18 * q^30 + 34 * q^31 + 8 * q^33 - 2 * q^35 - 16 * q^36 - 14 * q^37 + 12 * q^38 - 18 * q^39 + 12 * q^40 + 28 * q^41 + 4 * q^42 + 6 * q^44 - 12 * q^45 + 42 * q^46 + 24 * q^47 - 44 * q^49 + 14 * q^51 - 32 * q^54 + 14 * q^55 - 4 * q^56 - 10 * q^58 - 30 * q^59 + 2 * q^60 - 28 * q^61 + 8 * q^62 + 16 * q^63 + 16 * q^64 - 12 * q^65 - 4 * q^66 + 16 * q^67 - 30 * q^68 - 30 * q^70 - 24 * q^71 - 116 * q^73 - 44 * q^74 + 12 * q^75 - 32 * q^77 - 18 * q^80 + 8 * q^81 - 28 * q^82 - 8 * q^83 - 2 * q^84 - 80 * q^85 - 18 * q^86 - 10 * q^87 - 14 * q^88 - 24 * q^89 - 4 * q^90 + 48 * q^91 + 8 * q^92 + 76 * q^93 + 6 * q^94 + 98 * q^95 - 8 * q^96 - 120 * q^97 - 40 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{10}\right)$

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 $

$2$	−0.994522	+	0.104528i	−0.703233	+	0.0739128i
$2$	−0.994522	+	0.104528i	−0.703233	+	0.0739128i
$3$	−0.743145	−	0.669131i	−0.429055	−	0.386323i
$3$	−0.743145	−	0.669131i	−0.429055	−	0.386323i
$4$	0.978148	−	0.207912i	0.489074	−	0.103956i
$5$	−1.44711	−	3.25025i	−0.647166	−	1.45356i	−0.877079	−	0.480347i	$-0.840511\pi$
$5$	−1.44711	−	3.25025i	−0.647166	−	1.45356i	0.229913	−	0.973211i	$-0.426156\pi$
$6$	0.809017	+	0.587785i	0.330280	+	0.239962i
$7$	1.04897	+	2.42892i	0.396472	+	0.918047i
$7$	1.04897	+	2.42892i	0.396472	+	0.918047i
$8$	−0.951057	+	0.309017i	−0.336249	+	0.109254i
$9$	0.104528	+	0.994522i	0.0348428	+	0.331507i
$10$	1.77892	+	3.08119i	0.562545	+	0.974356i
$11$	2.70714	−	1.91609i	0.816234	−	0.577722i
$11$	2.70714	−	1.91609i	0.816234	−	0.577722i
$12$	−0.866025	−	0.500000i	−0.250000	−	0.144338i
$13$	2.98635	−	2.16971i	0.828263	−	0.601768i	−0.0908042	−	0.995869i	$-0.528944\pi$
$13$	2.98635	−	2.16971i	0.828263	−	0.601768i	0.919067	+	0.394100i	$0.128944\pi$
$14$	−1.29711	−	2.30597i	−0.346668	−	0.616297i
$15$	−1.09944	+	3.38371i	−0.283873	+	0.873671i
$16$	0.913545	−	0.406737i	0.228386	−	0.101684i
$17$	0.604849	−	5.75475i	0.146697	−	1.39573i	−0.635211	−	0.772339i	$-0.719087\pi$
$17$	0.604849	−	5.75475i	0.146697	−	1.39573i	0.781908	−	0.623394i	$-0.214247\pi$
$18$	−0.207912	−	0.978148i	−0.0490053	−	0.230552i
$19$	−7.78258	−	1.65424i	−1.78545	−	0.379508i	−0.807749	−	0.589527i	$-0.799314\pi$
$19$	−7.78258	−	1.65424i	−1.78545	−	0.379508i	−0.977697	+	0.210019i	$0.932647\pi$
$20$	−2.09125	−	2.87836i	−0.467618	−	0.643621i
$21$	0.845733	−	2.50694i	0.184554	−	0.547059i
$22$	−2.49203	+	2.18856i	−0.531302	+	0.466603i
$23$	−3.20956	+	5.55911i	−0.669239	+	1.15916i	0.308879	+	0.951101i	$0.400046\pi$
$23$	−3.20956	+	5.55911i	−0.669239	+	1.15916i	−0.978117	+	0.208054i	$0.933287\pi$
$24$	0.913545	+	0.406737i	0.186477	+	0.0830248i
$25$	−5.12438	+	5.69121i	−1.02488	+	1.13824i
$26$	−2.74319	+	2.46998i	−0.537984	+	0.484403i
$27$	0.587785	−	0.809017i	0.113119	−	0.155695i
$28$	1.53105	+	2.15775i	0.289340	+	0.407777i
$29$	−6.46051	−	2.09915i	−1.19969	−	0.389802i	−0.360041	−	0.932937i	$-0.617237\pi$
$29$	−6.46051	−	2.09915i	−1.19969	−	0.389802i	−0.839645	+	0.543135i	$0.817237\pi$
$30$	0.739718	−	3.48010i	0.135053	−	0.635376i
$31$	−0.575719	+	1.29309i	−0.103402	+	0.232245i	−0.957836	−	0.287315i	$-0.907237\pi$
$31$	−0.575719	+	1.29309i	−0.103402	+	0.232245i	0.854434	+	0.519560i	$0.173904\pi$
$32$	−0.866025	+	0.500000i	−0.153093	+	0.0883883i
$33$	−3.29391	−	0.387501i	−0.573396	−	0.0674553i
$34$			5.78645i			0.992368i
$35$	6.37665	−	6.92432i	1.07785	−	1.17042i
$36$	0.309017	+	0.951057i	0.0515028	+	0.158509i
$37$	−4.47880	−	4.97421i	−0.736310	−	0.817755i	0.252396	−	0.967624i	$-0.418781\pi$
$37$	−4.47880	−	4.97421i	−0.736310	−	0.817755i	−0.988706	+	0.149869i	$0.952115\pi$
$38$	7.91286	+	0.831675i	1.28364	+	0.134916i
$39$	−3.67110	−	0.385849i	−0.587847	−	0.0617852i
$40$	2.38066	+	2.64400i	0.376416	+	0.418052i
$41$	−0.290753	−	0.894847i	−0.0454081	−	0.139752i	0.925782	−	0.378058i	$-0.123408\pi$
$41$	−0.290753	−	0.894847i	−0.0454081	−	0.139752i	−0.971190	+	0.238306i	$0.923408\pi$
$42$	−0.579054	+	2.58161i	−0.0893499	+	0.398351i
$43$		−	10.0105i		−	1.52659i	−0.646048	−	0.763297i	$-0.723580\pi$
$43$		−	10.0105i		−	1.52659i	0.646048	−	0.763297i	$-0.276420\pi$
$44$	2.24961	−	2.43706i	0.339141	−	0.367401i
$45$	3.08119	−	1.77892i	0.459316	−	0.265186i
$46$	2.61089	−	5.86415i	0.384954	−	0.864622i
$47$	−0.0366467	+	0.172409i	−0.00534547	+	0.0251485i	−0.980740	−	0.195320i	$-0.937425\pi$
$47$	−0.0366467	+	0.172409i	−0.00534547	+	0.0251485i	0.975394	+	0.220469i	$0.0707587\pi$
$48$	−0.951057	−	0.309017i	−0.137273	−	0.0446028i
$49$	−4.79934	+	5.09572i	−0.685620	+	0.727960i
$50$	4.50142	−	6.19567i	0.636597	−	0.876200i
$51$	−4.30017	+	3.87189i	−0.602144	+	0.542173i
$52$	2.46998	−	2.74319i	0.342524	−	0.380412i
$53$	3.48078	+	1.54974i	0.478122	+	0.212873i	0.631624	−	0.775275i	$-0.282389\pi$
$53$	3.48078	+	1.54974i	0.478122	+	0.212873i	−0.153502	+	0.988148i	$0.549055\pi$
$54$	−0.500000	+	0.866025i	−0.0680414	+	0.117851i
$55$	−10.1453	−	6.02612i	−1.36799	−	0.812561i
$56$	−1.74821	−	1.98589i	−0.233614	−	0.265376i
$57$	4.67668	+	6.43690i	0.619442	+	0.852588i
$58$	6.64454	+	1.41234i	0.872470	+	0.185449i
$59$	−1.24332	−	5.84934i	−0.161866	−	0.761519i	−0.981930	−	0.189247i	$-0.939395\pi$
$59$	−1.24332	−	5.84934i	−0.161866	−	0.761519i	0.820064	−	0.572272i	$-0.193938\pi$
$60$	−0.371896	+	3.53836i	−0.0480116	+	0.456800i
$61$	3.94759	−	1.75758i	0.505437	−	0.225035i	−0.138145	−	0.990412i	$-0.544114\pi$
$61$	3.94759	−	1.75758i	0.505437	−	0.225035i	0.643582	+	0.765377i	$0.277447\pi$
$62$	0.437401	−	1.34618i	0.0555499	−	0.170965i
$63$	−2.30597	+	1.29711i	−0.290525	+	0.163421i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−11.3737	−	6.56659i	−1.41073	−	0.814485i
$66$	3.31637	+	0.0410712i	0.408217	+	0.00505552i
$67$	6.04943	+	10.4779i	0.739056	+	1.28008i	0.952921	+	0.303219i	$0.0980613\pi$
$67$	6.04943	+	10.4779i	0.739056	+	1.28008i	−0.213865	+	0.976863i	$0.568605\pi$
$68$	−0.604849	−	5.75475i	−0.0733487	−	0.697866i
$69$	6.10494	−	1.98361i	0.734948	−	0.238799i
$70$	−5.61793	+	7.55293i	−0.671471	+	0.902748i
$71$	0.866083	+	0.629246i	0.102785	+	0.0746778i	0.637991	−	0.770044i	$-0.279766\pi$
$71$	0.866083	+	0.629246i	0.102785	+	0.0746778i	−0.535206	+	0.844722i	$0.679766\pi$
$72$	−0.406737	−	0.913545i	−0.0479344	−	0.107662i
$73$	6.62823	−	1.40887i	0.775775	−	0.164896i	0.197022	−	0.980399i	$-0.436873\pi$
$73$	6.62823	−	1.40887i	0.775775	−	0.164896i	0.578753	+	0.815503i	$0.303540\pi$
$74$	4.97421	+	4.47880i	0.578240	+	0.520650i
$75$	7.61632	−	0.800507i	0.879457	−	0.0924346i
$76$	−7.95645			−0.912667
$77$	7.49373	+	4.56553i	0.853990	+	0.520290i
$78$	3.69133			0.417960
$79$	5.68174	−	0.597175i	0.639246	−	0.0671874i	0.220640	−	0.975355i	$-0.429186\pi$
$79$	5.68174	−	0.597175i	0.639246	−	0.0671874i	0.418606	+	0.908168i	$0.362519\pi$
$80$	−2.64400	−	2.38066i	−0.295608	−	0.266166i
$81$	−0.978148	+	0.207912i	−0.108683	+	0.0231013i
$82$	0.382698	+	0.859553i	0.0422619	+	0.0949217i
$83$	3.64104	+	2.64537i	0.399656	+	0.290367i	0.769401	−	0.638766i	$-0.220555\pi$
$83$	3.64104	+	2.64537i	0.399656	+	0.290367i	−0.369745	+	0.929133i	$0.620555\pi$
$84$	0.306030	−	2.62799i	0.0333906	−	0.286738i
$85$	−19.5797	+	6.36183i	−2.12372	+	0.690037i
$86$	1.04639	+	9.95570i	0.112835	+	1.07355i
$87$	3.39649	+	5.88289i	0.364142	+	0.630712i
$88$	−1.98254	+	2.65886i	−0.211340	+	0.283435i
$89$	−14.3393	−	8.27880i	−1.51996	−	0.877551i	−0.999723	−	0.0235310i	$-0.992509\pi$
$89$	−14.3393	−	8.27880i	−1.51996	−	0.877551i	−0.520240	−	0.854020i	$-0.674158\pi$
$90$	−2.87836	+	2.09125i	−0.303406	+	0.220437i
$91$	8.40263	+	4.97765i	0.880835	+	0.521800i
$92$	−1.98361	+	6.10494i	−0.206806	+	0.636484i
$93$	1.29309	−	0.575719i	0.134087	−	0.0596993i
$94$	0.0184243	−	0.175295i	0.00190032	−	0.0180803i
$95$	5.88553	+	27.6892i	0.603842	+	2.84085i
$96$	0.978148	+	0.207912i	0.0998318	+	0.0212199i
$97$	4.19057	+	5.76783i	0.425488	+	0.585634i	0.966910	−	0.255117i	$-0.0821139\pi$
$97$	4.19057	+	5.76783i	0.425488	+	0.585634i	−0.541422	+	0.840751i	$0.682114\pi$
$98$	4.24040	−	5.56947i	0.428345	−	0.562602i
$99$	2.18856	+	2.49203i	0.219959	+	0.250458i
$100$	−3.82914	+	6.63226i	−0.382914	+	0.663226i
$101$	−7.05712	−	3.14203i	−0.702209	−	0.312644i	0.0243926	−	0.999702i	$-0.492235\pi$
$101$	−7.05712	−	3.14203i	−0.702209	−	0.312644i	−0.726602	+	0.687059i	$0.758901\pi$
$102$	3.87189	−	4.30017i	0.383374	−	0.425780i
$103$	11.3060	−	10.1800i	1.11401	−	1.00306i	0.114060	−	0.993474i	$-0.463614\pi$
$103$	11.3060	−	10.1800i	1.11401	−	1.00306i	0.999954	−	0.00958907i	$-0.00305234\pi$
$104$	−2.16971	+	2.98635i	−0.212757	+	0.292835i
$105$	−9.37205	+	0.878958i	−0.914619	+	0.0857776i
$106$	−3.62370	−	1.17741i	−0.351965	−	0.114360i
$107$	2.02317	−	9.51828i	0.195587	−	0.920167i	−0.765396	−	0.643560i	$-0.777457\pi$
$107$	2.02317	−	9.51828i	0.195587	−	0.920167i	0.960983	−	0.276607i	$-0.0892100\pi$
$108$	0.406737	−	0.913545i	0.0391383	−	0.0879060i
$109$	2.16884	−	1.25218i	0.207737	−	0.119937i	−0.392522	−	0.919743i	$-0.628397\pi$
$109$	2.16884	−	1.25218i	0.207737	−	0.119937i	0.600259	+	0.799805i	$0.295064\pi$
$110$	10.7196	+	4.93263i	1.02208	+	0.470308i
$111$			6.69346i			0.635315i
$112$	1.94621	+	1.79228i	0.183900	+	0.169354i
$113$	0.688600	+	2.11929i	0.0647781	+	0.199366i	0.978207	−	0.207632i	$-0.0665755\pi$
$113$	0.688600	+	2.11929i	0.0647781	+	0.199366i	−0.913429	+	0.406998i	$0.866576\pi$
$114$	−5.32390	−	5.91279i	−0.498629	−	0.553784i
$115$	22.7131	+	2.38724i	2.11801	+	0.222612i
$116$	−6.75577	−	0.710060i	−0.627257	−	0.0659274i
$117$	2.46998	+	2.74319i	0.228350	+	0.253608i
$118$	1.84793	+	5.68734i	0.170116	+	0.523562i
$119$	14.6123	−	4.56741i	1.33951	−	0.418694i
$120$		−	3.55785i		−	0.324785i
$121$	3.65723	−	10.3742i	0.332475	−	0.943112i
$122$	−3.74225	+	2.16059i	−0.338807	+	0.195610i
$123$	−0.382698	+	0.859553i	−0.0345067	+	0.0775033i
$124$	−0.294290	+	1.38453i	−0.0264281	+	0.124334i
$125$	8.99483	+	2.92260i	0.804522	+	0.261405i
$126$	2.15775	−	1.53105i	0.192228	−	0.136396i
$127$	6.02278	−	8.28965i	0.534435	−	0.735587i	−0.453363	−	0.891326i	$-0.649776\pi$
$127$	6.02278	−	8.28965i	0.534435	−	0.735587i	0.987798	+	0.155739i	$0.0497758\pi$
$128$	−0.743145	+	0.669131i	−0.0656853	+	0.0591433i
$129$	−6.69836	+	7.43928i	−0.589758	+	0.654992i
$130$	11.9977	+	5.34174i	1.05227	+	0.468502i
$131$	−7.96464	+	13.7952i	−0.695874	+	1.20529i	0.274011	+	0.961726i	$0.411649\pi$
$131$	−7.96464	+	13.7952i	−0.695874	+	1.20529i	−0.969885	+	0.243563i	$0.921684\pi$
$132$	−3.30250	+	0.305809i	−0.287445	+	0.0266172i
$133$	−4.14565	−	20.6385i	−0.359473	−	1.78959i
$134$	−7.11153	−	9.78819i	−0.614343	−	0.845570i
$135$	−3.48010	−	0.739718i	−0.299519	−	0.0636648i
$136$	1.20307	+	5.66000i	0.103162	+	0.485341i
$137$	−0.0393859	+	0.374732i	−0.00336497	+	0.0320155i	−0.996076	−	0.0885072i	$-0.971790\pi$
$137$	−0.0393859	+	0.374732i	−0.00336497	+	0.0320155i	0.992711	+	0.120523i	$0.0384571\pi$
$138$	−5.86415	+	2.61089i	−0.499190	+	0.222254i
$139$	−2.87523	+	8.84904i	−0.243874	+	0.750566i	0.751946	+	0.659225i	$0.229115\pi$
$139$	−2.87523	+	8.84904i	−0.243874	+	0.750566i	−0.995820	+	0.0913411i	$0.970885\pi$
$140$	4.79766	−	8.09879i	0.405476	−	0.684472i
$141$	0.142598	−	0.103604i	0.0120089	−	0.00872500i
$142$	−0.927113	−	0.535269i	−0.0778016	−	0.0449188i
$143$	3.92711	−	11.5958i	0.328402	−	0.969689i
$144$	0.500000	+	0.866025i	0.0416667	+	0.0721688i
$145$	2.52628	+	24.0360i	0.209796	+	1.99608i
$146$	−6.44465	+	2.09399i	−0.533363	+	0.173300i
$147$	6.97630	−	0.575473i	0.575396	−	0.0474642i
$148$	−5.41512	−	3.93432i	−0.445120	−	0.323399i
$149$	−0.215694	−	0.484457i	−0.0176704	−	0.0396883i	0.904495	−	0.426485i	$-0.140248\pi$
$149$	−0.215694	−	0.484457i	−0.0176704	−	0.0396883i	−0.922165	+	0.386797i	$0.873582\pi$
$150$	−7.49092	+	1.59224i	−0.611631	+	0.130006i
$151$	6.37476	+	5.73986i	0.518770	+	0.467103i	0.886433	−	0.462856i	$-0.153175\pi$
$151$	6.37476	+	5.73986i	0.518770	+	0.467103i	−0.367663	+	0.929959i	$0.619842\pi$
$152$	7.91286	−	0.831675i	0.641818	−	0.0674578i
$153$	5.78645			0.467807
$154$	−7.92990	−	3.75721i	−0.639010	−	0.302765i
$155$	5.03598			0.404500
$156$	−3.67110	+	0.385849i	−0.293924	+	0.0308926i
$157$	4.07875	+	3.67252i	0.325520	+	0.293099i	0.815645	−	0.578553i	$-0.196382\pi$
$157$	4.07875	+	3.67252i	0.325520	+	0.293099i	−0.490125	+	0.871652i	$0.663049\pi$
$158$	−5.58819	+	1.18781i	−0.444573	+	0.0944968i
$159$	−1.54974	−	3.48078i	−0.122903	−	0.276044i
$160$	2.87836	+	2.09125i	0.227554	+	0.165328i
$161$	−16.8694	−	1.96444i	−1.32949	−	0.154820i
$162$	0.951057	−	0.309017i	0.0747221	−	0.0242787i
$163$	0.143910	+	1.36921i	0.0112719	+	0.107245i	0.998711	−	0.0507541i	$-0.0161625\pi$
$163$	0.143910	+	1.36921i	0.0112719	+	0.107245i	−0.987439	+	0.157999i	$0.949496\pi$
$164$	−0.470449	−	0.814841i	−0.0367359	−	0.0636284i
$165$	3.50716	+	11.2668i	0.273032	+	0.877119i
$166$	−3.89761	−	2.25029i	−0.302513	−	0.174656i
$167$	7.14324	−	5.18987i	0.552760	−	0.401604i	−0.276042	−	0.961146i	$-0.589023\pi$
$167$	7.14324	−	5.18987i	0.552760	−	0.401604i	0.828802	+	0.559542i	$0.189023\pi$
$168$	−0.0296535	+	2.64559i	−0.00228782	+	0.204111i
$169$	0.193410	−	0.595255i	0.0148777	−	0.0457889i
$170$	18.8074	−	8.37361i	1.44246	−	0.642227i
$171$	0.831675	−	7.91286i	0.0635998	−	0.605111i
$172$	−2.08131	−	9.79179i	−0.158698	−	0.746617i
$173$	7.77647	+	1.65294i	0.591234	+	0.125671i	0.493806	−	0.869572i	$-0.335605\pi$
$173$	7.77647	+	1.65294i	0.591234	+	0.125671i	0.0974277	+	0.995243i	$0.468939\pi$
$174$	−3.99281	−	5.49564i	−0.302694	−	0.416623i
$175$	−19.1988	−	6.47685i	−1.45129	−	0.489604i
$176$	1.69375	−	2.85153i	0.127672	−	0.214942i
$177$	−2.99001	+	5.17885i	−0.224743	+	0.389266i
$178$	15.1261	+	6.73458i	1.13375	+	0.504778i
$179$	−7.49880	+	8.32826i	−0.560487	+	0.622484i	−0.955071	−	0.296376i	$-0.904222\pi$
$179$	−7.49880	+	8.32826i	−0.560487	+	0.622484i	0.394585	+	0.918860i	$0.370888\pi$
$180$	2.64400	−	2.38066i	0.197072	−	0.177444i
$181$	10.3679	−	14.2701i	0.770638	−	1.06069i	−0.225616	−	0.974216i	$-0.572440\pi$
$181$	10.3679	−	14.2701i	0.770638	−	1.06069i	0.996254	−	0.0864756i	$-0.0275605\pi$
$182$	−8.87691	−	4.07207i	−0.658000	−	0.301842i
$183$	−4.10968	−	1.33532i	−0.303796	−	0.0987094i
$184$	1.33461	−	6.27884i	0.0983887	−	0.462882i
$185$	−9.68615	+	21.7554i	−0.712140	+	1.59949i
$186$	−1.22582	+	0.707729i	−0.0898817	+	0.0518932i
$187$	−9.38919	−	16.7379i	−0.686606	−	1.22399i
$188$			0.176261i			0.0128552i
$189$	2.58161	+	0.579054i	0.187784	+	0.0421200i
$190$	−8.74760	−	26.9223i	−0.634617	−	1.95315i
$191$	10.6408	+	11.8178i	0.769938	+	0.855103i	0.992805	−	0.119746i	$-0.0382079\pi$
$191$	10.6408	+	11.8178i	0.769938	+	0.855103i	−0.222866	+	0.974849i	$0.571541\pi$
$192$	−0.994522	−	0.104528i	−0.0717734	−	0.00754369i
$193$	−24.8396	−	2.61075i	−1.78799	−	0.187926i	−0.848201	−	0.529674i	$-0.822314\pi$
$193$	−24.8396	−	2.61075i	−1.78799	−	0.187926i	−0.939791	+	0.341749i	$0.888981\pi$
$194$	−4.77052	−	5.29820i	−0.342503	−	0.380388i
$195$	4.05837	+	12.4904i	0.290626	+	0.894455i
$196$	−3.63500	+	5.98220i	−0.259643	+	0.427300i
$197$			11.6626i			0.830928i	0.909610	+	0.415464i	$0.136381\pi$
$197$			11.6626i			0.830928i	−0.909610	+	0.415464i	$0.863619\pi$
$198$	−2.43706	−	2.24961i	−0.173194	−	0.159873i
$199$	−4.88763	+	2.82188i	−0.346475	+	0.200037i	−0.663132	−	0.748503i	$-0.730773\pi$
$199$	−4.88763	+	2.82188i	−0.346475	+	0.200037i	0.316657	+	0.948540i	$0.397440\pi$
$200$	3.11490	−	6.99618i	0.220257	−	0.494705i
$201$	2.51549	−	11.8345i	0.177429	−	0.834739i
$202$	7.34689	+	2.38715i	0.516925	+	0.167959i
$203$	−1.67819	−	17.8940i	−0.117786	−	1.25591i
$204$	−3.40119	+	4.68134i	−0.238131	+	0.327759i
$205$	−2.48773	+	2.23996i	−0.173751	+	0.156446i
$206$	−10.1800	+	11.3060i	−0.709273	+	0.787727i
$207$	−5.86415	−	2.61089i	−0.407587	−	0.181469i
$208$	1.84566	−	3.19678i	0.127974	−	0.221657i
$209$	−24.2382	+	10.4338i	−1.67659	+	0.721724i
$210$	9.22883	−	1.85379i	0.636850	−	0.127924i
$211$	−13.6337	−	18.7652i	−0.938582	−	1.29185i	−0.956416	−	0.292007i	$-0.905677\pi$
$211$	−13.6337	−	18.7652i	−0.938582	−	1.29185i	0.0178338	−	0.999841i	$-0.494323\pi$
$212$	3.72692	+	0.792182i	0.255966	+	0.0544073i
$213$	−0.222577	−	1.04714i	−0.0152507	−	0.0717491i
$214$	−1.01716	+	9.67762i	−0.0695315	+	0.661548i
$215$	−32.5368	+	14.4863i	−2.21899	+	0.987959i
$216$	−0.309017	+	0.951057i	−0.0210259	+	0.0647112i
$217$	−3.74472	−	0.0419734i	−0.254208	−	0.00284934i
$218$	−2.02607	+	1.47203i	−0.137223	+	0.0996983i
$219$	−5.86845	−	3.38815i	−0.396553	−	0.228950i
$220$	−11.1765	−	3.78511i	−0.753519	−	0.255192i
$221$	−10.6798	−	18.4980i	−0.718404	−	1.24431i
$222$	−0.699657	−	6.65679i	−0.0469579	−	0.446775i
$223$	18.0681	−	5.87067i	1.20993	−	0.393129i	0.366523	−	0.930409i	$-0.380548\pi$
$223$	18.0681	−	5.87067i	1.20993	−	0.393129i	0.843404	+	0.537280i	$0.180548\pi$
$224$	−2.12289	−	1.57903i	−0.141842	−	0.105503i
$225$	−6.19567	−	4.50142i	−0.413045	−	0.300095i
$226$	−0.906355	−	2.03571i	−0.0602898	−	0.135413i
$227$	29.0325	−	6.17105i	1.92696	−	0.409587i	0.927604	−	0.373565i	$-0.121865\pi$
$227$	29.0325	−	6.17105i	1.92696	−	0.409587i	0.999351	−	0.0360223i	$-0.0114687\pi$
$228$	5.91279	+	5.32390i	0.391584	+	0.352584i
$229$	6.15634	−	0.647057i	0.406822	−	0.0427587i	0.101092	−	0.994877i	$-0.467766\pi$
$229$	6.15634	−	0.647057i	0.406822	−	0.0427587i	0.305730	+	0.952118i	$0.401100\pi$
$230$	−22.8382			−1.50591
$231$	−2.51399	−	8.40713i	−0.165408	−	0.553149i
$232$	6.79298			0.445981
$233$	12.7494	−	1.34001i	0.835238	−	0.0877871i	0.322753	−	0.946483i	$-0.395392\pi$
$233$	12.7494	−	1.34001i	0.835238	−	0.0877871i	0.512485	+	0.858696i	$0.328725\pi$
$234$	−2.74319	−	2.46998i	−0.179328	−	0.161468i
$235$	0.613406	−	0.130383i	0.0400142	−	0.00850528i
$236$	−2.43229	−	5.46302i	−0.158329	−	0.355612i
$237$	−4.62194	−	3.35804i	−0.300227	−	0.218128i
$238$	−14.0548	+	6.06979i	−0.911040	+	0.393446i
$239$	24.1081	−	7.83320i	1.55942	−	0.506687i	0.602770	−	0.797915i	$-0.294064\pi$
$239$	24.1081	−	7.83320i	1.55942	−	0.506687i	0.956654	+	0.291228i	$0.0940638\pi$
$240$	0.371896	+	3.53836i	0.0240058	+	0.228400i
$241$	−1.05363	−	1.82493i	−0.0678701	−	0.117554i	0.830093	−	0.557624i	$-0.188287\pi$
$241$	−1.05363	−	1.82493i	−0.0678701	−	0.117554i	−0.897964	+	0.440070i	$0.854954\pi$
$242$	−2.55279	+	10.6997i	−0.164100	+	0.687802i
$243$	0.866025	+	0.500000i	0.0555556	+	0.0320750i
$244$	3.49590	−	2.53992i	0.223802	−	0.162602i
$245$	23.5075	+	8.22502i	1.50184	+	0.525477i
$246$	0.290753	−	0.894847i	0.0185378	−	0.0570534i
$247$	−26.8307	+	11.9458i	−1.70720	+	0.760092i
$248$	0.147956	−	1.40770i	0.00939520	−	0.0893893i
$249$	−0.935722	−	4.40223i	−0.0592990	−	0.278980i
$250$	−9.25105	−	1.96637i	−0.585088	−	0.124364i
$251$	0.330614	+	0.455051i	0.0208681	+	0.0287225i	0.819324	−	0.573331i	$-0.194349\pi$
$251$	0.330614	+	0.455051i	0.0208681	+	0.0287225i	−0.798455	+	0.602054i	$0.794349\pi$
$252$	−1.98589	+	1.74821i	−0.125100	+	0.110127i
$253$	1.96302	+	21.1991i	0.123414	+	1.33278i
$254$	−5.12328	+	8.87379i	−0.321463	+	0.556791i
$255$	18.8074	+	8.37361i	1.17777	+	0.524376i
$256$	0.669131	−	0.743145i	0.0418207	−	0.0464466i
$257$	3.95942	−	3.56508i	0.246982	−	0.222384i	−0.536336	−	0.844004i	$-0.680192\pi$
$257$	3.95942	−	3.56508i	0.246982	−	0.222384i	0.783318	+	0.621621i	$0.213525\pi$
$258$	5.88405	−	8.09870i	0.366325	−	0.504203i
$259$	7.38386	−	16.0964i	0.458811	−	1.00018i
$260$	−12.4904	−	4.05837i	−0.774621	−	0.251690i
$261$	1.41234	−	6.64454i	0.0874216	−	0.411286i
$262$	6.47902	−	14.5521i	0.400275	−	0.899033i
$263$	12.7798	−	7.37839i	0.788033	−	0.454971i	−0.0512365	−	0.998687i	$-0.516316\pi$
$263$	12.7798	−	7.37839i	0.788033	−	0.454971i	0.839270	+	0.543715i	$0.182983\pi$
$264$	3.25244	−	0.649338i	0.200174	−	0.0399640i
$265$		−	13.5561i		−	0.832742i
$266$	6.28025	+	20.0921i	0.385067	+	1.23193i
$267$	5.11658	+	15.7472i	0.313130	+	0.963714i
$268$	8.09572	+	8.99121i	0.494525	+	0.549225i
$269$	2.70309	+	0.284106i	0.164810	+	0.0173222i	0.186574	−	0.982441i	$-0.440262\pi$
$269$	2.70309	+	0.284106i	0.164810	+	0.0173222i	−0.0217639	+	0.999763i	$0.506928\pi$
$270$	3.53836	+	0.371896i	0.215338	+	0.0226329i
$271$	−0.537487	−	0.596940i	−0.0326500	−	0.0362615i	0.726599	−	0.687062i	$-0.241100\pi$
$271$	−0.537487	−	0.596940i	−0.0326500	−	0.0362615i	−0.759249	+	0.650801i	$0.774433\pi$
$272$	−1.78811	−	5.50324i	−0.108420	−	0.333683i
$273$	−2.91367	−	9.32157i	−0.176343	−	0.564167i
$274$		−	0.376796i		−	0.0227631i
$275$	−2.96759	+	25.2257i	−0.178952	+	1.52116i
$276$	5.55911	−	3.20956i	0.334619	−	0.193193i
$277$	11.7644	−	26.4234i	0.706857	−	1.58763i	−0.0987061	−	0.995117i	$-0.531470\pi$
$277$	11.7644	−	26.4234i	0.706857	−	1.58763i	0.805563	−	0.592510i	$-0.201863\pi$
$278$	1.93450	−	9.10111i	0.116024	−	0.545848i
$279$	−1.34618	−	0.437401i	−0.0805937	−	0.0261865i
$280$	−3.92483	+	8.55591i	−0.234553	+	0.511314i
$281$	11.4273	−	15.7283i	0.681695	−	0.938273i	−0.318257	−	0.948004i	$-0.603098\pi$
$281$	11.4273	−	15.7283i	0.681695	−	0.938273i	0.999953	+	0.00973135i	$0.00309763\pi$
$282$	−0.130987	+	0.117942i	−0.00780019	+	0.00702332i
$283$	9.72695	−	10.8029i	0.578207	−	0.642164i	−0.381098	−	0.924535i	$-0.624454\pi$
$283$	9.72695	−	10.8029i	0.578207	−	0.642164i	0.959305	+	0.282370i	$0.0911207\pi$
$284$	0.977985	+	0.435427i	0.0580327	+	0.0258378i
$285$	14.1539	−	24.5153i	0.838405	−	1.45216i
$286$	−2.69351	+	11.9428i	−0.159271	+	0.706191i
$287$	1.86852	−	1.64488i	0.110295	−	0.0970943i
$288$	−0.587785	−	0.809017i	−0.0346356	−	0.0476718i
$289$	−16.1228	−	3.42701i	−0.948401	−	0.201589i
$290$	−5.02489	−	23.6402i	−0.295072	−	1.38820i
$291$	0.745228	−	7.09037i	0.0436860	−	0.415645i
$292$	6.19046	−	2.75617i	0.362269	−	0.161293i
$293$	−2.87520	+	8.84897i	−0.167971	+	0.516962i	−0.999243	−	0.0389041i	$-0.987613\pi$
$293$	−2.87520	+	8.84897i	−0.167971	+	0.516962i	0.831272	+	0.555866i	$0.187613\pi$
$294$	−6.87793	+	1.30154i	−0.401129	+	0.0759075i
$295$	−17.2126	+	12.5057i	−1.00216	+	0.728111i
$296$	5.79671	+	3.34673i	0.336927	+	0.194525i
$297$	0.0410712	−	3.31637i	0.00238319	−	0.192435i
$298$	0.265152	+	0.459257i	0.0153599	+	0.0266040i
$299$	2.47681	+	23.5652i	0.143237	+	1.36281i
$300$	7.28345	−	2.36654i	0.420510	−	0.136632i
$301$	24.3148	−	10.5007i	1.40148	−	0.605252i
$302$	−6.93981	−	5.04207i	−0.399341	−	0.290138i
$303$	3.14203	+	7.05712i	0.180505	+	0.405421i
$304$	−7.78258	+	1.65424i	−0.446361	+	0.0948771i
$305$	−11.4252	−	10.2873i	−0.654203	−	0.589047i
$306$	−5.75475	+	0.604849i	−0.328977	+	0.0345769i
$307$	−21.1375			−1.20638			−0.603191	−	0.797597i	$-0.706104\pi$
$307$	−21.1375			−1.20638			−0.603191	+	0.797597i	$0.706104\pi$
$308$	8.27920	+	2.90773i	0.471751	+	0.165683i
$309$	−15.2137			−0.865479
$310$	−5.00840	+	0.526404i	−0.284458	+	0.0298977i
$311$	−1.25941	−	1.13398i	−0.0714146	−	0.0643020i	0.632650	−	0.774437i	$-0.281967\pi$
$311$	−1.25941	−	1.13398i	−0.0714146	−	0.0643020i	−0.704065	+	0.710135i	$0.748634\pi$
$312$	3.61066	−	0.767470i	0.204413	−	0.0434494i
$313$	1.98469	+	4.45770i	0.112182	+	0.251964i	0.960908	−	0.276869i	$-0.0892967\pi$
$313$	1.98469	+	4.45770i	0.112182	+	0.251964i	−0.848726	+	0.528832i	$0.822630\pi$
$314$	−4.44029	−	3.22606i	−0.250580	−	0.182057i
$315$	7.55293	+	5.61793i	0.425559	+	0.316535i
$316$	5.43342	−	1.76543i	0.305654	−	0.0993129i
$317$	1.50891	+	14.3563i	0.0847486	+	0.806329i	0.951512	+	0.307610i	$0.0995293\pi$
$317$	1.50891	+	14.3563i	0.0847486	+	0.806329i	−0.866764	+	0.498719i	$0.833804\pi$
$318$	1.90509	+	3.29972i	0.106832	+	0.185039i
$319$	−21.5116	+	6.69620i	−1.20442	+	0.374915i
$320$	−3.08119	−	1.77892i	−0.172244	−	0.0994448i
$321$	−7.87248	+	5.71969i	−0.439399	+	0.319242i
$322$	16.9823	+	0.190349i	0.946387	+	0.0106078i
$323$	−14.2270	+	43.7862i	−0.791612	+	2.43633i
$324$	−0.913545	+	0.406737i	−0.0507525	+	0.0225965i
$325$	−2.95493	+	28.1143i	−0.163910	+	1.55950i
$326$	−0.286242	−	1.34667i	−0.0158535	−	0.0745849i
$327$	−2.44964	−	0.520686i	−0.135465	−	0.0287940i
$328$	0.553046	+	0.761202i	0.0305368	+	0.0420304i
$329$	−0.457210	+	0.0918395i	−0.0252068	+	0.00506327i
$330$	−4.66565	−	10.8385i	−0.256836	−	0.596639i
$331$	−5.68836	+	9.85252i	−0.312660	+	0.541544i	−0.978937	−	0.204161i	$-0.934553\pi$
$331$	−5.68836	+	9.85252i	−0.312660	+	0.541544i	0.666277	+	0.745704i	$0.267887\pi$
$332$	4.11148	+	1.83055i	0.225647	+	0.100464i
$333$	4.47880	−	4.97421i	0.245437	−	0.272585i
$334$	−6.56162	+	5.90811i	−0.359036	+	0.323277i
$335$	25.3017	−	34.8249i	1.38238	−	1.90269i
$336$	−0.247048	−	2.63419i	−0.0134776	−	0.143707i
$337$	13.2392	+	4.30167i	0.721184	+	0.234327i	0.646536	−	0.762883i	$-0.276217\pi$
$337$	13.2392	+	4.30167i	0.721184	+	0.234327i	0.0746474	+	0.997210i	$0.476217\pi$
$338$	−0.130130	+	0.612211i	−0.00707811	+	0.0332999i
$339$	0.906355	−	2.03571i	0.0492264	−	0.110564i
$340$	−17.8291	+	10.2937i	−0.966920	+	0.558252i
$341$	0.919112	+	4.60369i	0.0497727	+	0.249304i
$342$			7.95645i			0.430235i
$343$	−17.4115	−	6.31199i	−0.940130	−	0.340815i
$344$	3.09343	+	9.52059i	0.166786	+	0.513316i
$345$	−15.2818	−	16.9721i	−0.822742	−	0.913747i
$346$	−7.90665	−	0.831022i	−0.425064	−	0.0446760i
$347$	2.99930	+	0.315239i	0.161011	+	0.0169229i	0.184691	−	0.982797i	$-0.440872\pi$
$347$	2.99930	+	0.315239i	0.161011	+	0.0169229i	−0.0236799	+	0.999720i	$0.507538\pi$
$348$	4.54539	+	5.04817i	0.243658	+	0.270610i
$349$	−2.44746	−	7.53251i	−0.131010	−	0.403206i	0.863938	−	0.503597i	$-0.167991\pi$
$349$	−2.44746	−	7.53251i	−0.131010	−	0.403206i	−0.994948	+	0.100391i	$0.967991\pi$
$350$	19.7707	+	4.43455i	1.05679	+	0.237037i
$351$		−	3.69133i		−	0.197028i
$352$	−1.38641	+	3.01295i	−0.0738959	+	0.160591i
$353$	−12.2939	+	7.09788i	−0.654338	+	0.377782i	−0.790116	−	0.612957i	$-0.789980\pi$
$353$	−12.2939	+	7.09788i	−0.654338	+	0.377782i	0.135778	+	0.990739i	$0.456647\pi$
$354$	2.43229	−	5.46302i	0.129275	−	0.290356i
$355$	0.791896	−	3.72558i	0.0420295	−	0.197733i
$356$	−15.7472	−	5.11658i	−0.834601	−	0.271178i
$357$	−13.9153	−	6.38330i	−0.736474	−	0.337840i
$358$	6.58718	−	9.06648i	0.348143	−	0.479178i
$359$	−25.3410	+	22.8171i	−1.33745	+	1.20424i	−0.376857	+	0.926271i	$0.622995\pi$
$359$	−25.3410	+	22.8171i	−1.33745	+	1.20424i	−0.960589	+	0.277971i	$0.910338\pi$
$360$	−2.38066	+	2.64400i	−0.125472	+	0.139351i
$361$	40.4747	+	18.0205i	2.13025	+	0.948446i
$362$	−8.81944	+	15.2757i	−0.463539	+	0.802874i
$363$	−9.65957	+	5.26239i	−0.506996	+	0.276204i
$364$	9.25392	+	3.12188i	0.485037	+	0.163631i
$365$	−14.1709	−	19.5046i	−0.741741	−	1.02092i
$366$	4.22675	+	0.898423i	0.220936	+	0.0469613i
$367$	0.312653	+	1.47092i	0.0163204	+	0.0767813i	0.985554	−	0.169361i	$-0.0541703\pi$
$367$	0.312653	+	1.47092i	0.0163204	+	0.0767813i	−0.969234	+	0.246142i	$0.920837\pi$
$368$	−0.670980	+	6.38395i	−0.0349772	+	0.332786i
$369$	0.859553	−	0.382698i	0.0447465	−	0.0199224i
$370$	7.35902	−	22.6487i	0.382577	−	1.17745i
$371$	−0.112985	+	10.0802i	−0.00586591	+	0.523336i
$372$	1.14513	−	0.831986i	0.0593722	−	0.0431364i
$373$	−2.61791	−	1.51145i	−0.135550	−	0.0782600i	0.430691	−	0.902499i	$-0.358270\pi$
$373$	−2.61791	−	1.51145i	−0.135550	−	0.0782600i	−0.566242	+	0.824239i	$0.691603\pi$
$374$	11.0873	+	15.6647i	0.573313	+	0.810004i
$375$	−4.72886	−	8.19063i	−0.244197	−	0.422962i
$376$	−0.0184243	−	0.175295i	−0.000950160	−	0.00904017i
$377$	−23.8478	+	7.74863i	−1.22823	+	0.399075i
$378$	−2.62799	−	0.306030i	−0.135169	−	0.0157405i
$379$	3.85562	+	2.80127i	0.198050	+	0.143892i	0.682390	−	0.730988i	$-0.260940\pi$
$379$	3.85562	+	2.80127i	0.198050	+	0.143892i	−0.484341	+	0.874880i	$0.660940\pi$
$380$	11.5138	+	25.8605i	0.590647	+	1.32661i
$381$	−10.0227	+	2.13038i	−0.513476	+	0.109143i
$382$	−11.8178	−	10.6408i	−0.604649	−	0.544429i
$383$	−20.3384	+	2.13766i	−1.03925	+	0.109229i	−0.608749	−	0.793363i	$-0.708328\pi$
$383$	−20.3384	+	2.13766i	−1.03925	+	0.109229i	−0.430497	+	0.902592i	$0.641662\pi$
$384$	1.00000			0.0510310
$385$	3.99491	−	30.9633i	0.203599	−	1.57804i
$386$	24.9764			1.27127
$387$	9.95570	−	1.04639i	0.506077	−	0.0531908i
$388$	5.29820	+	4.77052i	0.268975	+	0.242186i
$389$	−4.50047	+	0.956604i	−0.228183	+	0.0485017i	−0.320584	−	0.947220i	$-0.603879\pi$
$389$	−4.50047	+	0.956604i	−0.228183	+	0.0485017i	0.0924012	+	0.995722i	$0.470546\pi$
$390$	−5.34174	−	11.9977i	−0.270490	−	0.607530i
$391$	30.0500	+	21.8326i	1.51970	+	1.10412i
$392$	2.98978	−	6.32939i	0.151007	−	0.319683i
$393$	15.1496	−	4.92242i	0.764199	−	0.248303i
$394$	−1.21908	−	11.5987i	−0.0614162	−	0.584336i
$395$	−10.1631	−	17.6029i	−0.511359	−	0.885699i
$396$	2.65886	+	1.98254i	0.133613	+	0.0996264i
$397$	25.4234	+	14.6782i	1.27596	+	0.736677i	0.976103	−	0.217307i	$-0.0697272\pi$
$397$	25.4234	+	14.6782i	1.27596	+	0.736677i	0.299858	+	0.953984i	$0.403061\pi$
$398$	4.56589	−	3.31731i	0.228867	−	0.166282i
$399$	−10.7291	+	18.1114i	−0.537125	+	0.906704i
$400$	−2.36654	+	7.28345i	−0.118327	+	0.364173i
$401$	33.2162	−	14.7888i	1.65874	−	0.738517i	0.658831	−	0.752291i	$-0.271051\pi$
$401$	33.2162	−	14.7888i	1.65874	−	0.738517i	0.999905	+	0.0137746i	$0.00438473\pi$
$402$	−1.26468	+	12.0326i	−0.0630763	+	0.600131i
$403$	1.08632	+	5.11074i	0.0541135	+	0.254584i
$404$	−7.55617	−	1.60611i	−0.375933	−	0.0799071i
$405$	2.09125	+	2.87836i	0.103915	+	0.143027i
$406$	3.53943	+	17.6206i	0.175659	+	0.874494i
$407$	−21.6558	−	4.88412i	−1.07344	−	0.242097i
$408$	2.89323	−	5.01121i	0.143236	−	0.248092i
$409$	−22.4651	−	10.0021i	−1.11083	−	0.494572i	−0.232482	−	0.972601i	$-0.574685\pi$
$409$	−22.4651	−	10.0021i	−1.11083	−	0.494572i	−0.878344	+	0.478029i	$0.841351\pi$
$410$	2.23996	−	2.48773i	0.110624	−	0.122860i
$411$	0.280014	−	0.252126i	0.0138121	−	0.0124365i
$412$	8.94241	−	12.3082i	0.440561	−	0.606380i
$413$	12.9034	−	9.15568i	0.634935	−	0.450522i
$414$	6.10494	+	1.98361i	0.300041	+	0.0974894i
$415$	3.32916	−	15.6624i	0.163422	−	0.768839i
$416$	−1.50140	+	3.37219i	−0.0736121	+	0.165335i
$417$	8.05787	−	4.65222i	0.394596	−	0.227820i
$418$	23.0148	−	12.9103i	1.12569	−	0.631461i
$419$			29.3140i			1.43208i	0.698059	+	0.716040i	$0.254047\pi$
$419$			29.3140i			1.43208i	−0.698059	+	0.716040i	$0.745953\pi$
$420$	−8.98450	+	2.80831i	−0.438399	+	0.137031i
$421$	9.96140	+	30.6580i	0.485489	+	1.49418i	0.831272	+	0.555866i	$0.187613\pi$
$421$	9.96140	+	30.6580i	0.485489	+	1.49418i	−0.345783	+	0.938314i	$0.612387\pi$
$422$	15.5205	+	17.2373i	0.755526	+	0.839097i
$423$	−0.175295	−	0.0184243i	−0.00852316	−	0.000895820i
$424$	−3.78931	−	0.398273i	−0.184025	−	0.0193418i
$425$	29.6520	+	32.9319i	1.43833	+	1.59743i
$426$	0.330814	+	1.01814i	0.0160280	+	0.0493291i
$427$	8.40992	+	7.74475i	0.406984	+	0.374795i
$428$		−	9.73092i		−	0.470362i
$429$	−10.6775	+	5.98961i	−0.515515	+	0.289181i
$430$	30.8443	−	17.8080i	1.48745	−	0.858777i
$431$	−10.5090	+	23.6036i	−0.506200	+	1.13694i	0.462025	+	0.886867i	$0.347123\pi$
$431$	−10.5090	+	23.6036i	−0.506200	+	1.13694i	−0.968226	+	0.250078i	$0.919544\pi$
$432$	0.207912	−	0.978148i	0.0100032	−	0.0470611i
$433$	15.7141	+	5.10581i	0.755170	+	0.245370i	0.661204	−	0.750206i	$-0.270046\pi$
$433$	15.7141	+	5.10581i	0.755170	+	0.245370i	0.0939655	+	0.995575i	$0.470046\pi$
$434$	3.72859	−	0.349686i	0.178978	−	0.0167855i
$435$	14.2058	−	19.5526i	0.681117	−	0.937477i
$436$	1.86110	−	1.67575i	0.0891307	−	0.0802537i
$437$	34.1747	−	37.9549i	1.63480	−	1.81563i
$438$	6.19046	+	2.75617i	0.295792	+	0.131695i
$439$	0.0649210	−	0.112446i	0.00309851	−	0.00536678i	−0.864472	−	0.502681i	$-0.832347\pi$
$439$	0.0649210	−	0.112446i	0.00309851	−	0.00536678i	0.867571	+	0.497314i	$0.165680\pi$
$440$	11.5109	+	2.59611i	0.548761	+	0.123765i
$441$	−5.56947	−	4.24040i	−0.265213	−	0.201924i
$442$	12.5549	+	17.2803i	0.597176	+	0.821942i
$443$	−13.6366	−	2.89855i	−0.647895	−	0.137714i	−0.127769	−	0.991804i	$-0.540782\pi$
$443$	−13.6366	−	2.89855i	−0.647895	−	0.137714i	−0.520126	+	0.854090i	$0.674115\pi$
$444$	1.39165	+	6.54719i	0.0660447	+	0.310716i
$445$	−6.15771	+	58.5867i	−0.291903	+	2.77728i
$446$	−17.3554	+	7.72714i	−0.821804	+	0.365891i
$447$	−0.163873	+	0.504349i	−0.00775093	+	0.0238549i
$448$	2.27632	+	1.34847i	0.107546	+	0.0637094i
$449$	−1.98592	+	1.44286i	−0.0937216	+	0.0680927i	−0.633659	−	0.773612i	$-0.718448\pi$
$449$	−1.98592	+	1.44286i	−0.0937216	+	0.0680927i	0.539938	+	0.841705i	$0.318448\pi$
$450$	6.63226	+	3.82914i	0.312648	+	0.180507i
$451$	−2.50171	−	1.86537i	−0.117801	−	0.0878368i
$452$	1.11418	+	1.92981i	0.0524066	+	0.0907708i
$453$	−0.896654	−	8.53109i	−0.0421285	−	0.400826i
$454$	−28.2284	+	9.17197i	−1.32483	+	0.430462i
$455$	4.01915	−	34.5139i	0.188420	−	1.61804i
$456$	−6.43690	−	4.67668i	−0.301435	−	0.219006i
$457$	−2.56821	−	5.76829i	−0.120136	−	0.269829i	0.843460	−	0.537191i	$-0.180515\pi$
$457$	−2.56821	−	5.76829i	−0.120136	−	0.269829i	−0.963596	+	0.267362i	$0.913848\pi$
$458$	−6.05498	+	1.28702i	−0.282930	+	0.0601387i
$459$	−4.30017	−	3.87189i	−0.200715	−	0.180724i
$460$	22.7131	−	2.38724i	1.05900	−	0.111306i
$461$	18.7243			0.872076			0.436038	−	0.899928i	$-0.356381\pi$
$461$	18.7243			0.872076			0.436038	+	0.899928i	$0.356381\pi$
$462$	3.37900	+	8.09829i	0.157205	+	0.376767i
$463$	9.11044			0.423398			0.211699	−	0.977335i	$-0.432100\pi$
$463$	9.11044			0.423398			0.211699	+	0.977335i	$0.432100\pi$
$464$	−6.75577	+	0.710060i	−0.313629	+	0.0329637i
$465$	−3.74247	−	3.36973i	−0.173553	−	0.156268i
$466$	−12.5394	+	2.66534i	−0.580879	+	0.123470i
$467$	−5.23271	−	11.7529i	−0.242141	−	0.543858i	0.751065	−	0.660229i	$-0.229541\pi$
$467$	−5.23271	−	11.7529i	−0.242141	−	0.543858i	−0.993206	+	0.116371i	$0.962874\pi$
$468$	2.98635	+	2.16971i	0.138044	+	0.100295i
$469$	−19.1044	+	25.6846i	−0.882160	+	1.18600i
$470$	−0.596417	+	0.193788i	−0.0275107	+	0.00893875i
$471$	−0.573704	−	5.45843i	−0.0264349	−	0.251511i
$472$	2.99001	+	5.17885i	0.137626	+	0.238376i
$473$	−19.1811	−	27.0999i	−0.881946	−	1.24606i
$474$	4.94763	+	2.85652i	0.227252	+	0.131204i
$475$	49.2955	−	35.8153i	2.26183	−	1.64332i
$476$	13.3434	−	7.50567i	0.611593	−	0.344022i
$477$	−1.17741	+	3.62370i	−0.0539100	+	0.165918i
$478$	−23.1572	+	10.3103i	−1.05919	+	0.471581i
$479$	1.41177	−	13.4321i	0.0645055	−	0.613729i	−0.913743	−	0.406293i	$-0.866821\pi$
$479$	1.41177	−	13.4321i	0.0645055	−	0.613729i	0.978249	−	0.207436i	$-0.0665120\pi$
$480$	−0.739718	−	3.48010i	−0.0337633	−	0.158844i
$481$	−24.1678	−	5.13703i	−1.10196	−	0.234228i
$482$	1.23861	+	1.70480i	0.0564172	+	0.0776517i
$483$	11.2219	+	12.7477i	0.510615	+	0.580040i
$484$	1.42038	−	10.9079i	0.0645629	−	0.495814i
$485$	12.6827	−	21.9671i	0.575892	−	0.997474i
$486$	−0.913545	−	0.406737i	−0.0414393	−	0.0184499i
$487$	15.2373	−	16.9227i	0.690466	−	0.766840i	−0.291362	−	0.956613i	$-0.594108\pi$
$487$	15.2373	−	16.9227i	0.690466	−	0.766840i	0.981828	+	0.189773i	$0.0607751\pi$
$488$	−3.21126	+	2.89143i	−0.145367	+	0.130889i
$489$	0.809234	−	1.11381i	0.0365948	−	0.0503684i
$490$	−24.2385	−	5.72276i	−1.09498	−	0.258528i
$491$	23.4662	+	7.62464i	1.05902	+	0.344095i	0.786201	−	0.617971i	$-0.212045\pi$
$491$	23.4662	+	7.62464i	1.05902	+	0.344095i	0.272816	+	0.962066i	$0.412045\pi$
$492$	−0.195624	+	0.920337i	−0.00881939	+	0.0414920i
$493$	−15.9877	+	35.9089i	−0.720049	+	1.61726i
$494$	25.4350	−	14.6849i	1.14438	−	0.660706i
$495$	4.93263	−	10.7196i	0.221705	−	0.481811i
$496$			1.41546i			0.0635560i
$497$	−0.619899	+	2.76371i	−0.0278063	+	0.123969i
$498$	1.39075	+	4.28030i	0.0623212	+	0.191805i
$499$	−14.9829	−	16.6401i	−0.670724	−	0.744915i	0.307708	−	0.951481i	$-0.400438\pi$
$499$	−14.9829	−	16.6401i	−0.670724	−	0.744915i	−0.978433	+	0.206566i	$0.933771\pi$
$500$	9.40592	+	0.988602i	0.420645	+	0.0442116i
$501$	−8.78116	−	0.922937i	−0.392313	−	0.0412338i
$502$	−0.376368	−	0.417999i	−0.0167981	−	0.0186562i
$503$	7.66418	+	23.5879i	0.341729	+	1.05173i	0.963312	+	0.268385i	$0.0864899\pi$
$503$	7.66418	+	23.5879i	0.341729	+	1.05173i	−0.621583	+	0.783348i	$0.713510\pi$
$504$	1.79228	−	1.94621i	0.0798344	−	0.0866911i
$505$			27.4843i			1.22303i
$506$	−4.16818	−	20.8778i	−0.185298	−	0.928130i
$507$	−0.542035	+	0.312944i	−0.0240726	+	0.0138983i
$508$	4.16765	−	9.36071i	0.184910	−	0.415314i
$509$	−0.0866383	+	0.407601i	−0.00384017	+	0.0180666i	−0.980026	−	0.198870i	$-0.936273\pi$
$509$	−0.0866383	+	0.407601i	−0.00384017	+	0.0180666i	0.976186	+	0.216936i	$0.0696063\pi$
$510$	−19.5797	−	6.36183i	−0.867003	−	0.281706i
$511$	10.3748	+	14.6216i	0.458956	+	0.646821i
$512$	−0.587785	+	0.809017i	−0.0259767	+	0.0357538i
$513$	−5.91279	+	5.32390i	−0.261056	+	0.235056i
$514$	−3.56508	+	3.95942i	−0.157249	+	0.174643i
$515$	−49.4485	−	22.0159i	−2.17896	−	0.970136i
$516$	−5.00527	+	8.66938i	−0.220345	+	0.381648i
$517$	0.231143	+	0.536955i	0.0101657	+	0.0236152i
$518$	−5.66088	+	16.7801i	−0.248725	+	0.737275i
$519$	−4.67301	−	6.43185i	−0.205122	−	0.282327i
$520$	12.8462	+	2.73054i	0.563342	+	0.119742i
$521$	−5.94280	−	27.9587i	−0.260359	−	1.22489i	−0.892861	−	0.450333i	$-0.851305\pi$
$521$	−5.94280	−	27.9587i	−0.260359	−	1.22489i	0.632502	−	0.774559i	$-0.282028\pi$
$522$	−0.710060	+	6.75577i	−0.0310785	+	0.295692i
$523$	13.6840	−	6.09253i	0.598361	−	0.266408i	−0.0851258	−	0.996370i	$-0.527129\pi$
$523$	13.6840	−	6.09253i	0.598361	−	0.266408i	0.683487	+	0.729963i	$0.260463\pi$
$524$	−4.92242	+	15.1496i	−0.215037	+	0.661815i
$525$	9.93364	+	17.6598i	0.433539	+	0.770735i
$526$	−11.9385	+	8.67382i	−0.520543	+	0.378197i
$527$	7.09316	+	4.09524i	0.308983	+	0.178391i
$528$	−3.16675	+	0.985754i	−0.137815	+	0.0428994i
$529$	−9.10250	−	15.7660i	−0.395761	−	0.685478i
$530$	1.41699	+	13.4818i	0.0615503	+	0.585612i
$531$	5.68734	−	1.84793i	0.246809	−	0.0801932i
$532$	−8.34605	−	19.3256i	−0.361847	−	0.837871i
$533$	−2.80985	−	2.04147i	−0.121708	−	0.0884260i
$534$	−6.73458	−	15.1261i	−0.291434	−	0.654571i
$535$	−33.8646	+	7.19814i	−1.46409	+	0.311203i
$536$	−8.99121	−	8.09572i	−0.388361	−	0.349682i
$537$	11.1454	−	1.17143i	0.480959	−	0.0505508i
$538$	−2.71798			−0.117180
$539$	−3.22865	+	22.9908i	−0.139068	+	0.990283i
$540$	−3.55785			−0.153105
$541$	−6.62030	+	0.695822i	−0.284629	+	0.0299157i	−0.245767	−	0.969329i	$-0.579040\pi$
$541$	−6.62030	+	0.695822i	−0.284629	+	0.0299157i	−0.0388618	+	0.999245i	$0.512373\pi$
$542$	0.596940	+	0.537487i	0.0256408	+	0.0230870i
$543$	−17.2534	+	3.66733i	−0.740415	+	0.157380i
$544$	2.35356	+	5.28619i	0.100908	+	0.226643i
$545$	−7.20845	−	5.23725i	−0.308776	−	0.224339i
$546$	3.87208	+	8.96595i	0.165710	+	0.383707i
$547$	−7.92081	+	2.57363i	−0.338669	+	0.110040i	−0.473414	−	0.880840i	$-0.656979\pi$
$547$	−7.92081	+	2.57363i	−0.338669	+	0.110040i	0.134745	+	0.990880i	$0.456979\pi$
$548$	0.0393859	+	0.374732i	0.00168248	+	0.0160078i
$549$	2.16059	+	3.74225i	0.0922116	+	0.159715i
$550$	0.314535	−	25.3977i	0.0134118	−	1.08296i
$551$	46.8069	+	27.0240i	1.99404	+	1.15126i
$552$	−5.19317	+	3.77306i	−0.221036	+	0.160592i
$553$	7.41045	+	13.1741i	0.315124	+	0.560219i
$554$	−8.93800	+	27.5083i	−0.379739	+	1.16872i
$555$	21.7554	−	9.68615i	0.923467	−	0.411154i
$556$	−0.972578	+	9.25346i	−0.0412465	+	0.392434i
$557$	3.25139	+	15.2966i	0.137766	+	0.648138i	0.991787	+	0.127899i	$0.0408235\pi$
$557$	3.25139	+	15.2966i	0.137766	+	0.648138i	−0.854021	+	0.520238i	$0.825843\pi$
$558$	1.38453	+	0.294290i	0.0586117	+	0.0124583i
$559$	−21.7199	−	29.8949i	−0.918656	−	1.26442i
$560$	3.00899	−	8.91930i	0.127153	−	0.376909i
$561$	−4.22229	+	18.7213i	−0.178265	+	0.790412i
$562$	−9.72064	+	16.8366i	−0.410040	+	0.710211i
$563$	−20.3570	−	9.06351i	−0.857944	−	0.381981i	−0.0698659	−	0.997556i	$-0.522257\pi$
$563$	−20.3570	−	9.06351i	−0.857944	−	0.381981i	−0.788078	+	0.615575i	$0.788924\pi$
$564$	0.117942	−	0.130987i	0.00496624	−	0.00551557i
$565$	5.89177	−	5.30497i	0.247869	−	0.223182i
$566$	−8.54446	+	11.7604i	−0.359150	+	0.494328i
$567$	−1.53105	−	2.15775i	−0.0642979	−	0.0906171i
$568$	−1.01814	−	0.330814i	−0.0427203	−	0.0138807i
$569$	4.05297	−	19.0677i	0.169909	−	0.799360i	−0.807810	−	0.589443i	$-0.799347\pi$
$569$	4.05297	−	19.0677i	0.169909	−	0.799360i	0.977719	−	0.209917i	$-0.0673193\pi$
$570$	−11.5138	+	25.8605i	−0.482261	+	1.08318i
$571$	3.20802	−	1.85215i	0.134251	−	0.0775101i	−0.431370	−	0.902175i	$-0.641970\pi$
$571$	3.20802	−	1.85215i	0.134251	−	0.0775101i	0.565622	+	0.824665i	$0.308636\pi$
$572$	1.43039	−	12.1589i	0.0598078	−	0.508389i
$573$		−	15.9024i		−	0.664331i
$574$	−1.68635	+	1.83119i	−0.0703869	+	0.0764322i
$575$	−15.1911	−	46.7533i	−0.633511	−	1.94975i
$576$	0.669131	+	0.743145i	0.0278804	+	0.0309644i
$577$	−35.3281	−	3.71313i	−1.47073	−	0.154580i	−0.664989	−	0.746853i	$-0.731564\pi$
$577$	−35.3281	−	3.71313i	−1.47073	−	0.154580i	−0.805737	+	0.592273i	$0.798231\pi$
$578$	16.3927	+	1.72294i	0.681847	+	0.0716650i
$579$	16.7125	+	18.5611i	0.694547	+	0.771372i
$580$	7.46844	+	22.9855i	0.310110	+	0.954421i
$581$	−2.60607	+	11.6187i	−0.108118	+	0.482026i
$582$			7.12943i			0.295524i
$583$	12.3924	−	2.47410i	0.513241	−	0.102467i
$584$	−5.86845	+	3.38815i	−0.242838	+	0.140203i
$585$	5.34174	−	11.9977i	0.220854	−	0.496046i
$586$	1.93448	−	9.10103i	0.0799128	−	0.375960i
$587$	−37.2249	−	12.0951i	−1.53644	−	0.499218i	−0.586045	−	0.810278i	$-0.699316\pi$
$587$	−37.2249	−	12.0951i	−1.53644	−	0.499218i	−0.950390	+	0.311060i	$0.899316\pi$
$588$	6.70421	−	2.01335i	0.276477	−	0.0830293i
$589$	6.61965	−	9.11116i	0.272758	−	0.375419i
$590$	15.8111	−	14.2364i	0.650934	−	0.586104i
$591$	7.80382	−	8.66702i	0.321006	−	0.356514i
$592$	−6.11478	−	2.72248i	−0.251316	−	0.111893i
$593$	13.0864	−	22.6663i	0.537394	−	0.930794i	−0.461649	−	0.887063i	$-0.652742\pi$
$593$	13.0864	−	22.6663i	0.537394	−	0.930794i	0.999043	−	0.0437317i	$-0.0139247\pi$
$594$	0.305809	+	3.30250i	0.0125475	+	0.135503i
$595$	−35.9908	−	40.8842i	−1.47548	−	1.67609i
$596$	−0.311705	−	0.429025i	−0.0127679	−	0.0175736i
$597$	5.52042	+	1.17340i	0.225936	+	0.0480241i
$598$	−4.92648	−	23.1772i	−0.201459	−	0.947788i
$599$	0.705781	−	6.71506i	0.0288374	−	0.274370i	−0.970596	−	0.240714i	$-0.922618\pi$
$599$	0.705781	−	6.71506i	0.0288374	−	0.274370i	0.999433	−	0.0336556i	$-0.0107149\pi$
$600$	−6.99618	+	3.11490i	−0.285618	+	0.127165i
$601$	11.6189	−	35.7594i	0.473947	−	1.45866i	−0.373426	−	0.927660i	$-0.621817\pi$
$601$	11.6189	−	35.7594i	0.473947	−	1.45866i	0.847373	−	0.530998i	$-0.178183\pi$
$602$	−23.0840	+	12.9848i	−0.940834	+	0.529221i
$603$	−9.78819	+	7.11153i	−0.398606	+	0.289604i
$604$	7.42884	+	4.28904i	0.302275	+	0.174519i
$605$	−39.0113	+	3.12570i	−1.58603	+	0.127078i
$606$	−3.86249	−	6.69003i	−0.156903	−	0.271764i
$607$	−0.369768	−	3.51810i	−0.0150084	−	0.142795i	0.984452	−	0.175656i	$-0.0562048\pi$
$607$	−0.369768	−	3.51810i	−0.0150084	−	0.142795i	−0.999460	+	0.0328610i	$0.989538\pi$
$608$	7.56703	−	2.45868i	0.306884	−	0.0997125i
$609$	−10.7263	+	14.4208i	−0.434651	+	0.584359i
$610$	12.4379	+	9.03666i	0.503595	+	0.365884i
$611$	0.264638	+	0.594386i	0.0107061	+	0.0240463i
$612$	5.66000	−	1.20307i	0.228792	−	0.0486313i
$613$	−0.989995	−	0.891396i	−0.0399855	−	0.0360031i	0.648896	−	0.760877i	$-0.275231\pi$
$613$	−0.989995	−	0.891396i	−0.0399855	−	0.0360031i	−0.688881	+	0.724874i	$0.741898\pi$
$614$	21.0217	−	2.20947i	0.848368	−	0.0891671i
$615$	3.34757			0.134987
$616$	−8.53778	−	2.02639i	−0.343997	−	0.0816454i
$617$	10.5857			0.426165			0.213082	−	0.977034i	$-0.431650\pi$
$617$	10.5857			0.426165			0.213082	+	0.977034i	$0.431650\pi$
$618$	15.1304	−	1.59027i	0.608634	−	0.0639700i
$619$	−21.0981	−	18.9968i	−0.848004	−	0.763546i	0.125529	−	0.992090i	$-0.459937\pi$
$619$	−21.0981	−	18.9968i	−0.848004	−	0.763546i	−0.973534	+	0.228543i	$0.926604\pi$
$620$	4.92594	−	1.04704i	0.197830	−	0.0420501i
$621$	2.61089	+	5.86415i	0.104771	+	0.235320i
$622$	1.37104	+	0.996122i	0.0549739	+	0.0399408i
$623$	5.06712	−	43.5133i	0.203010	−	1.74332i
$624$	−3.51066	+	1.14068i	−0.140539	+	0.0456638i
$625$	0.485244	+	4.61679i	0.0194098	+	0.184672i
$626$	−2.43978	−	4.22582i	−0.0975131	−	0.168898i
$627$	24.9941	+	8.46467i	0.998168	+	0.338046i
$628$	4.75318	+	2.74425i	0.189673	+	0.109507i
$629$	−31.3343	+	22.7657i	−1.24938	+	0.907729i
$630$	−8.09879	−	4.79766i	−0.322663	−	0.191143i
$631$	−2.41176	+	7.42262i	−0.0960105	+	0.295490i	−0.987516	−	0.157521i	$-0.949650\pi$
$631$	−2.41176	+	7.42262i	−0.0960105	+	0.295490i	0.891505	+	0.453010i	$0.149650\pi$
$632$	−5.21912	+	2.32370i	−0.207605	+	0.0924319i
$633$	−2.42454	+	23.0680i	−0.0963668	+	0.916869i
$634$	−3.00128	−	14.1199i	−0.119196	−	0.560773i
$635$	−35.6591	−	7.57957i	−1.41509	−	0.300786i
$636$	−2.23957	−	3.08250i	−0.0888048	−	0.122229i
$637$	−3.27627	+	25.6307i	−0.129810	+	1.01553i
$638$	20.6939	−	8.90810i	0.819278	−	0.352675i
$639$	−0.535269	+	0.927113i	−0.0211749	+	0.0366760i
$640$	3.25025	+	1.44711i	0.128478	+	0.0572019i
$641$	15.4977	−	17.2119i	0.612122	−	0.679831i	−0.354788	−	0.934947i	$-0.615447\pi$
$641$	15.4977	−	17.2119i	0.612122	−	0.679831i	0.966910	+	0.255116i	$0.0821137\pi$
$642$	7.23149	−	6.51126i	0.285404	−	0.256979i
$643$	−21.3143	+	29.3366i	−0.840555	+	1.15692i	0.145311	+	0.989386i	$0.453582\pi$
$643$	−21.3143	+	29.3366i	−0.840555	+	1.15692i	−0.985866	+	0.167538i	$0.946418\pi$
$644$	−16.9092	+	1.58583i	−0.666315	+	0.0624904i
$645$	33.8728	+	11.0059i	1.33374	+	0.433358i
$646$	9.57217	−	45.0335i	0.376612	−	1.77182i
$647$	−7.93425	+	17.8206i	−0.311928	+	0.700601i	−0.999679	−	0.0253458i	$-0.991931\pi$
$647$	−7.93425	+	17.8206i	−0.311928	+	0.700601i	0.687751	+	0.725946i	$0.258598\pi$
$648$	0.866025	−	0.500000i	0.0340207	−	0.0196419i
$649$	−14.5737	−	13.4527i	−0.572067	−	0.528064i
$650$		−	28.2692i		−	1.10881i
$651$	2.75478	+	2.53690i	0.107968	+	0.0994288i
$652$	0.425439	+	1.30937i	0.0166615	+	0.0512788i
$653$	20.6690	+	22.9553i	0.808842	+	0.898310i	0.996472	−	0.0839300i	$-0.0267472\pi$
$653$	20.6690	+	22.9553i	0.808842	+	0.898310i	−0.187630	+	0.982240i	$0.560081\pi$
$654$	2.49064	+	0.261777i	0.0973919	+	0.0102363i
$655$	56.3635	+	5.92404i	2.20230	+	0.231471i
$656$	−0.629583	−	0.699223i	−0.0245811	−	0.0273001i
$657$	2.09399	+	6.44465i	0.0816945	+	0.251430i
$658$	0.445106	−	0.139128i	0.0173520	−	0.00542377i
$659$			0.111998i			0.00436283i	0.999998	+	0.00218142i	$0.000694367\pi$
$659$			0.111998i			0.00436283i	−0.999998	+	0.00218142i	$0.999306\pi$
$660$	5.77302	+	10.2914i	0.224715	+	0.400593i
$661$	−25.4133	+	14.6724i	−0.988462	+	0.570689i	−0.904814	−	0.425807i	$-0.859990\pi$
$661$	−25.4133	+	14.6724i	−0.988462	+	0.570689i	−0.0836475	+	0.996495i	$0.526657\pi$
$662$	4.62733	−	10.3931i	0.179846	−	0.403941i
$663$	−4.44093	+	20.8929i	−0.172471	+	0.811414i
$664$	−4.28030	−	1.39075i	−0.166108	−	0.0539717i
$665$	−61.0813	+	43.3406i	−2.36863	+	1.68067i
$666$	−3.93432	+	5.41512i	−0.152452	+	0.209832i
$667$	32.4048	−	29.1774i	1.25472	−	1.12975i
$668$	5.90811	−	6.56162i	0.228592	−	0.253877i
$669$	−17.3554	−	7.72714i	−0.671000	−	0.298748i
$670$	−21.5229	+	37.2788i	−0.831504	+	1.44021i
$671$	7.31901	−	12.3219i	0.282547	−	0.475683i
$672$	0.521043	+	2.59394i	0.0200997	+	0.100063i
$673$	7.82545	+	10.7708i	0.301649	+	0.415184i	0.932754	−	0.360513i	$-0.117398\pi$
$673$	7.82545	+	10.7708i	0.301649	+	0.415184i	−0.631105	+	0.775697i	$0.717398\pi$
$674$	−13.6163	−	2.89423i	−0.524480	−	0.111482i
$675$	1.59224	+	7.49092i	0.0612855	+	0.288326i
$676$	0.0654232	−	0.622460i	0.00251628	−	0.0239408i
$677$	−24.2964	+	10.8174i	−0.933785	+	0.415748i	−0.816497	−	0.577350i	$-0.804087\pi$
$677$	−24.2964	+	10.8174i	−0.933785	+	0.415748i	−0.117288	+	0.993098i	$0.537420\pi$
$678$	−0.688600	+	2.11929i	−0.0264455	+	0.0813910i
$679$	−9.61384	+	16.2288i	−0.368945	+	0.622806i
$680$	16.6555	−	12.1009i	0.638708	−	0.464049i
$681$	−25.7046	−	14.8406i	−0.985002	−	0.568691i
$682$	−1.39529	−	4.48240i	−0.0534285	−	0.171640i
$683$	11.4121	+	19.7663i	0.436670	+	0.756335i	0.997430	−	0.0716434i	$-0.0228244\pi$
$683$	11.4121	+	19.7663i	0.436670	+	0.756335i	−0.560760	+	0.827978i	$0.689491\pi$
$684$	−0.831675	−	7.91286i	−0.0317999	−	0.302556i
$685$	1.27497	−	0.414263i	0.0487141	−	0.0158282i
$686$	17.9759	+	4.45742i	0.686321	+	0.170185i
$687$	−5.00802	−	3.63854i	−0.191068	−	0.138819i
$688$	−4.07165	−	9.14508i	−0.155230	−	0.348653i
$689$	13.7573	−	2.92420i	0.524111	−	0.111403i
$690$	16.9721	+	15.2818i	0.646117	+	0.581766i
$691$	−3.50745	+	0.368647i	−0.133430	+	0.0140240i	−0.171008	−	0.985270i	$-0.554702\pi$
$691$	−3.50745	+	0.368647i	−0.133430	+	0.0140240i	0.0375782	+	0.999294i	$0.488036\pi$
$692$	7.95020			0.302221
$693$	−3.75721	+	7.92990i	−0.142725	+	0.301232i
$694$	−3.01582			−0.114479
$695$	32.9224	−	3.46028i	1.24882	−	0.131256i
$696$	−5.04817	−	4.54539i	−0.191350	−	0.172293i
$697$	−5.32548	+	1.13197i	−0.201717	+	0.0428763i
$698$	3.22142	+	7.23542i	0.121932	+	0.273865i
$699$	−10.3713	−	7.53516i	−0.392277	−	0.285006i
$700$	−20.1259	−	2.34366i	−0.760687	−	0.0885821i
$701$	4.80922	−	1.56261i	0.181642	−	0.0590190i	−0.216784	−	0.976220i	$-0.569557\pi$
$701$	4.80922	−	1.56261i	0.181642	−	0.0590190i	0.398426	+	0.917201i	$0.369557\pi$
$702$	0.385849	+	3.67110i	0.0145629	+	0.138557i
$703$	26.6281	+	46.1212i	1.00430	+	1.73949i
$704$	1.06388	−	3.14136i	0.0400963	−	0.118395i
$705$	−0.543093	−	0.313555i	−0.0204541	−	0.0118092i
$706$	11.4846	−	8.34406i	0.432229	−	0.314033i
$707$	0.229073	−	20.4371i	0.00861517	−	0.768616i
$708$	−1.84793	+	5.68734i	−0.0694494	+	0.213743i
$709$	36.2031	−	16.1187i	1.35964	−	0.605349i	0.408114	−	0.912931i	$-0.366187\pi$
$709$	36.2031	−	16.1187i	1.35964	−	0.605349i	0.951521	+	0.307582i	$0.0995200\pi$
$710$	−0.398129	+	3.78794i	−0.0149415	+	0.142159i
$711$	1.18781	+	5.58819i	0.0445462	+	0.209574i
$712$	16.1958	+	3.44252i	0.606962	+	0.129014i
$713$	−5.34061	−	7.35072i	−0.200007	−	0.275287i
$714$	14.5063	+	4.89379i	0.542884	+	0.183146i
$715$	−43.3723	+	4.01624i	−1.62203	+	0.150199i
$716$	−5.60339	+	9.70536i	−0.209409	+	0.362706i
$717$	−23.1572	−	10.3103i	−0.864823	−	0.385044i
$718$	22.8171	−	25.3410i	0.851528	−	0.945718i
$719$	31.7305	−	28.5702i	1.18335	−	1.06549i	0.186805	−	0.982397i	$-0.440187\pi$
$719$	31.7305	−	28.5702i	1.18335	−	1.06549i	0.996542	−	0.0830934i	$-0.0264800\pi$
$720$	2.09125	−	2.87836i	0.0779363	−	0.107270i
$721$	36.5860	+	16.7830i	1.36253	+	0.625031i
$722$	−42.1366	−	13.6910i	−1.56816	−	0.509526i
$723$	−0.438123	+	2.06120i	−0.0162940	+	0.0766570i
$724$	7.17438	−	16.1139i	0.266634	−	0.598869i
$725$	45.0528	−	26.0112i	1.67322	−	0.966033i
$726$	9.05658	−	6.24327i	0.336121	−	0.231709i
$727$			36.4965i			1.35358i	0.736176	+	0.676790i	$0.236630\pi$
$727$			36.4965i			1.35358i	−0.736176	+	0.676790i	$0.763370\pi$
$728$	−9.52955	−	2.13748i	−0.353189	−	0.0792201i
$729$	−0.309017	−	0.951057i	−0.0114451	−	0.0352243i
$730$	16.1321	+	17.9165i	0.597076	+	0.663120i
$731$	−57.6082	−	6.05486i	−2.13072	−	0.223947i
$732$	−4.29750	−	0.451686i	−0.158840	−	0.0166948i
$733$	−14.8360	−	16.4770i	−0.547980	−	0.608594i	0.403998	−	0.914760i	$-0.367620\pi$
$733$	−14.8360	−	16.4770i	−0.547980	−	0.608594i	−0.951978	+	0.306166i	$0.900954\pi$
$734$	−0.464693	−	1.43018i	−0.0171521	−	0.0527889i
$735$	−11.9659	−	21.8420i	−0.441369	−	0.805654i
$736$		−	6.41911i		−	0.236612i
$737$	36.4533	+	16.7740i	1.34277	+	0.617878i
$738$	−0.814841	+	0.470449i	−0.0299947	+	0.0173175i
$739$	7.38343	−	16.5834i	0.271604	−	0.610032i	−0.725320	−	0.688412i	$-0.758308\pi$
$739$	7.38343	−	16.5834i	0.271604	−	0.610032i	0.996924	+	0.0783801i	$0.0249748\pi$
$740$	−4.95127	+	23.2939i	−0.182012	+	0.856301i
$741$	27.9324	+	9.07578i	1.02612	+	0.333407i
$742$	−0.941298	−	10.0368i	−0.0345561	−	0.368461i
$743$	−10.2902	+	14.1632i	−0.377510	+	0.519598i	−0.954923	−	0.296855i	$-0.904062\pi$
$743$	−10.2902	+	14.1632i	−0.377510	+	0.519598i	0.577413	+	0.816452i	$0.304062\pi$
$744$	−1.05189	+	0.947127i	−0.0385642	+	0.0347233i
$745$	−1.26248	+	1.40212i	−0.0462536	+	0.0513698i
$746$	2.76156	+	1.22953i	0.101108	+	0.0450161i
$747$	−2.25029	+	3.89761i	−0.0823337	+	0.142606i
$748$	−12.6640	−	14.4200i	−0.463042	−	0.527247i
$749$	25.2414	−	5.07023i	0.922301	−	0.185262i
$750$	5.55911	+	7.65146i	0.202990	+	0.279392i
$751$	−41.8519	−	8.89589i	−1.52720	−	0.324616i	−0.633662	−	0.773610i	$-0.718449\pi$
$751$	−41.8519	−	8.89589i	−1.52720	−	0.324616i	−0.893535	+	0.448994i	$0.851783\pi$
$752$	0.0366467	+	0.172409i	0.00133637	+	0.00628712i
$753$	0.0587945	−	0.559392i	0.00214259	−	0.0203854i
$754$	22.9072	−	10.1990i	0.834233	−	0.371424i
$755$	9.43104	−	29.0258i	0.343231	−	1.05636i
$756$	2.64559	+	0.0296535i	0.0962190	+	0.00107849i
$757$	38.7171	−	28.1296i	1.40720	−	1.02239i	0.413475	−	0.910515i	$-0.364315\pi$
$757$	38.7171	−	28.1296i	1.40720	−	1.02239i	0.993722	−	0.111874i	$-0.0356852\pi$
$758$	−4.12731	−	2.38290i	−0.149911	−	0.0865510i
$759$	12.7262	−	17.0675i	0.461930	−	0.619512i
$760$	−14.1539	−	24.5153i	−0.513416	−	0.889263i
$761$	−0.620585	−	5.90447i	−0.0224962	−	0.214037i	−0.999995	−	0.00309688i	$-0.999014\pi$
$761$	−0.620585	−	5.90447i	−0.0224962	−	0.214037i	0.977499	−	0.210940i	$-0.0676524\pi$
$762$	9.74506	−	3.16636i	0.353026	−	0.114705i
$763$	5.31649	+	3.95445i	0.192470	+	0.143161i
$764$	12.8653	+	9.34718i	0.465450	+	0.338169i
$765$	−8.37361	−	18.8074i	−0.302749	−	0.679984i
$766$	20.0036	−	4.25189i	0.722759	−	0.153627i
$767$	−16.4043	−	14.7705i	−0.592326	−	0.533333i
$768$	−0.994522	+	0.104528i	−0.0358867	+	0.00377185i
$769$	−24.2497			−0.874468			−0.437234	−	0.899348i	$-0.644042\pi$
$769$	−24.2497			−0.874468			−0.437234	+	0.899348i	$0.644042\pi$
$770$	−0.736473	+	31.2113i	−0.0265406	+	1.12478i
$771$	−5.32793			−0.191881
$772$	−24.8396	+	2.61075i	−0.893996	+	0.0939628i
$773$	−0.456100	−	0.410675i	−0.0164048	−	0.0147709i	0.660887	−	0.750485i	$-0.270180\pi$
$773$	−0.456100	−	0.410675i	−0.0164048	−	0.0147709i	−0.677292	+	0.735714i	$0.736847\pi$
$774$	−9.79179	+	2.08131i	−0.351958	+	0.0748111i
$775$	−4.40901	−	9.90280i	−0.158376	−	0.355719i
$776$	−5.76783	−	4.19057i	−0.207053	−	0.150433i
$777$	−16.2579	+	7.02121i	−0.583249	+	0.251885i
$778$	4.37582	−	1.42179i	0.156881	−	0.0509736i
$779$	0.782521	+	7.44519i	0.0280367	+	0.266752i
$780$	6.56659	+	11.3737i	0.235122	+	0.407242i
$781$	3.55030	+	0.0439683i	0.127040	+	0.00157331i
$782$	−32.1675	−	18.5719i	−1.15031	−	0.664131i
$783$	−5.49564	+	3.99281i	−0.196398	+	0.142691i
$784$	−2.31180	+	6.60724i	−0.0825642	+	0.235973i
$785$	6.03425	−	18.5715i	0.215372	−	0.662846i
$786$	−14.5521	+	6.47902i	−0.519057	+	0.231099i
$787$	−4.03700	+	38.4095i	−0.143904	+	1.36915i	0.649456	+	0.760399i	$0.274997\pi$
$787$	−4.03700	+	38.4095i	−0.143904	+	1.36915i	−0.793360	+	0.608753i	$0.791670\pi$
$788$	2.42480	+	11.4078i	0.0863798	+	0.406385i
$789$	−14.4343	−	3.06811i	−0.513875	−	0.109228i
$790$	11.9474	+	16.4442i	0.425069	+	0.585057i
$791$	−4.42528	+	3.89563i	−0.157345	+	0.138513i
$792$	−2.85153	−	1.69375i	−0.101325	−	0.0601849i
$793$	7.97543	−	13.8139i	0.283216	−	0.490544i
$794$	−26.8184	−	11.9403i	−0.951748	−	0.423746i
$795$	−9.07077	+	10.0741i	−0.321707	+	0.357292i
$796$	−4.19413	+	3.77641i	−0.148657	+	0.133851i
$797$	21.1691	−	29.1367i	0.749847	−	1.03208i	−0.248144	−	0.968723i	$-0.579821\pi$
$797$	21.1691	−	29.1367i	0.749847	−	1.03208i	0.997991	−	0.0633533i	$-0.0201795\pi$
$798$	8.77712	−	19.1337i	0.310707	−	0.677325i
$799$	0.970007	+	0.315174i	0.0343164	+	0.0111501i
$800$	1.59224	−	7.49092i	0.0562943	−	0.264844i
$801$	6.73458	−	15.1261i	0.237955	−	0.534455i
$802$	−31.4883	+	18.1798i	−1.11189	+	0.641951i
$803$	15.2440	−	16.5143i	0.537950	−	0.582776i
$804$		−	12.0989i		−	0.426694i
$805$	18.0269	+	57.6725i	0.635363	+	2.03269i
$806$	−1.61459	−	4.96919i	−0.0568715	−	0.175032i
$807$	−1.81868	−	2.01985i	−0.0640206	−	0.0711021i
$808$	7.68266	+	0.807480i	0.270275	+	0.0284070i
$809$	−29.9116	−	3.14384i	−1.05164	−	0.110532i	−0.437095	−	0.899415i	$-0.643993\pi$
$809$	−29.9116	−	3.14384i	−1.05164	−	0.110532i	−0.614542	+	0.788884i	$0.710659\pi$
$810$	−2.38066	−	2.64400i	−0.0836480	−	0.0929005i
$811$	2.01080	+	6.18862i	0.0706089	+	0.217312i	0.980134	−	0.198338i	$-0.0635543\pi$
$811$	2.01080	+	6.18862i	0.0706089	+	0.217312i	−0.909525	+	0.415650i	$0.863554\pi$
$812$	−5.36189	−	17.1541i	−0.188166	−	0.601990i
$813$			0.803261i			0.0281716i
$814$	22.0477	+	2.59372i	0.772770	+	0.0909100i
$815$	4.24202	−	2.44913i	0.148592	−	0.0857894i
$816$	−2.35356	+	5.28619i	−0.0823911	+	0.185054i
$817$	−16.5598	+	77.9078i	−0.579355	+	2.72565i
$818$	23.3875	+	7.59906i	0.817725	+	0.265695i
$819$	−4.07207	+	8.87691i	−0.142290	+	0.310184i
$820$	−1.96765	+	2.70824i	−0.0687134	+	0.0945759i
$821$	−19.0484	+	17.1512i	−0.664792	+	0.598582i	−0.930861	−	0.365372i	$-0.880942\pi$
$821$	−19.0484	+	17.1512i	−0.664792	+	0.598582i	0.266069	+	0.963954i	$0.414275\pi$
$822$	−0.252126	+	0.280014i	−0.00879390	+	0.00976662i
$823$	−25.5996	−	11.3977i	−0.892345	−	0.397298i	−0.0912455	−	0.995828i	$-0.529085\pi$
$823$	−25.5996	−	11.3977i	−0.892345	−	0.397298i	−0.801100	+	0.598531i	$0.795751\pi$
$824$	−7.60687	+	13.1755i	−0.264998	+	0.458990i
$825$	19.0846	−	16.7606i	0.664441	−	0.583530i
$826$	−11.8757	+	10.4543i	−0.413208	+	0.363752i
$827$	25.0045	+	34.4157i	0.869491	+	1.19675i	0.979222	+	0.202791i	$0.0650012\pi$
$827$	25.0045	+	34.4157i	0.869491	+	1.19675i	−0.109731	+	0.993961i	$0.534999\pi$
$828$	−6.27884	−	1.33461i	−0.218205	−	0.0463809i
$829$	3.61864	+	17.0243i	0.125680	+	0.591280i	0.995240	+	0.0974522i	$0.0310693\pi$
$829$	3.61864	+	17.0243i	0.125680	+	0.591280i	−0.869560	+	0.493828i	$0.835597\pi$
$830$	−1.67375	+	15.9246i	−0.0580966	+	0.552752i
$831$	−26.4234	+	11.7644i	−0.916617	+	0.408104i
$832$	1.14068	−	3.51066i	0.0395461	−	0.121710i
$833$	26.4217	+	30.7011i	0.915458	+	1.06373i
$834$	−7.52744	+	5.46901i	−0.260654	+	0.189376i
$835$	−27.2054	−	15.7071i	−0.941482	−	0.543565i
$836$	−21.5392	+	15.2452i	−0.744950	+	0.527268i
$837$	0.707729	+	1.22582i	0.0244627	+	0.0423706i
$838$	−3.06414	−	29.1534i	−0.105849	−	1.00709i
$839$	1.56479	−	0.508431i	0.0540226	−	0.0175530i	−0.281881	−	0.959449i	$-0.590958\pi$
$839$	1.56479	−	0.508431i	0.0540226	−	0.0175530i	0.335904	+	0.941896i	$0.390958\pi$
$840$	8.64174	−	3.73206i	0.298168	−	0.128768i
$841$	13.8702	+	10.0773i	0.478284	+	0.347494i
$842$	−13.1115	−	29.4488i	−0.451851	−	1.01487i
$843$	−19.0164	+	4.04207i	−0.654961	+	0.139216i
$844$	−17.2373	−	15.5205i	−0.593331	−	0.534238i
$845$	−2.21462	+	0.232766i	−0.0761851	+	0.00800738i
$846$	0.176261			0.00605998
$847$	29.0345	−	1.99910i	0.997638	−	0.0686899i
$848$	3.81019			0.130842
$849$	−14.4571	+	1.51950i	−0.496165	+	0.0521491i
$850$	−32.9319	−	29.6520i	−1.12955	−	1.01706i
$851$	42.0272	−	8.93315i	1.44067	−	0.306224i
$852$	−0.435427	−	0.977985i	−0.0149175	−	0.0335052i
$853$	−16.1443	−	11.7295i	−0.552771	−	0.401611i	0.276035	−	0.961147i	$-0.410979\pi$
$853$	−16.1443	−	11.7295i	−0.552771	−	0.401611i	−0.828806	+	0.559536i	$0.810979\pi$
$854$	−9.17339	−	6.82325i	−0.313907	−	0.233487i
$855$	−26.9223	+	8.74760i	−0.920724	+	0.299161i
$856$	1.01716	+	9.67762i	0.0347658	+	0.330774i
$857$	4.45452	+	7.71546i	0.152164	+	0.263555i	0.932023	−	0.362400i	$-0.118043\pi$
$857$	4.45452	+	7.71546i	0.152164	+	0.263555i	−0.779859	+	0.625955i	$0.784709\pi$
$858$	9.99294	−	7.07290i	0.341153	−	0.241465i
$859$	−36.7649	−	21.2262i	−1.25440	−	0.724229i	−0.282421	−	0.959291i	$-0.591137\pi$
$859$	−36.7649	−	21.2262i	−1.25440	−	0.724229i	−0.971980	+	0.235062i	$0.924471\pi$
$860$	−28.8139	+	20.9345i	−0.982547	+	0.713862i
$861$	−2.48923	−	0.0279009i	−0.0848326	−	0.000950862i
$862$	7.98418	−	24.5728i	0.271942	−	0.836952i
$863$	35.3355	−	15.7324i	1.20283	−	0.535536i	0.295255	−	0.955418i	$-0.404595\pi$
$863$	35.3355	−	15.7324i	1.20283	−	0.535536i	0.907579	+	0.419882i	$0.137929\pi$
$864$	−0.104528	+	0.994522i	−0.00355613	+	0.0338343i
$865$	−5.88091	−	27.6675i	−0.199957	−	0.940723i
$866$	−16.1617	−	3.43527i	−0.549196	−	0.116735i
$867$	9.68847	+	13.3350i	0.329038	+	0.452882i
$868$	−3.67161	+	0.737514i	−0.124623	+	0.0250329i
$869$	14.2370	−	12.5033i	0.482958	−	0.424147i
$870$	−12.0842	+	20.9304i	−0.409692	+	0.709608i
$871$	40.7997	+	18.1652i	1.38245	+	0.615504i
$872$	−1.67575	+	1.86110i	−0.0567479	+	0.0630249i
$873$	−5.29820	+	4.77052i	−0.179317	+	0.161458i
$874$	−30.0201	+	41.3192i	−1.01545	+	1.39764i
$875$	2.33651	+	24.9135i	0.0789885	+	0.842229i
$876$	−6.44465	−	2.09399i	−0.217745	−	0.0707495i
$877$	0.241440	−	1.13589i	0.00815286	−	0.0383562i	−0.973883	−	0.227050i	$-0.927092\pi$
$877$	0.241440	−	1.13589i	0.00815286	−	0.0383562i	0.982036	+	0.188694i	$0.0604253\pi$
$878$	−0.0528115	+	0.118617i	−0.00178230	+	0.00400311i
$879$	8.05781	−	4.65218i	0.271783	−	0.156914i
$880$	−11.7192	−	1.37867i	−0.395055	−	0.0464750i
$881$		−	30.9461i		−	1.04260i	−0.853374	−	0.521300i	$-0.825447\pi$
$881$		−	30.9461i		−	1.04260i	0.853374	−	0.521300i	$-0.174553\pi$
$882$	5.98220	+	3.63500i	0.201431	+	0.122397i
$883$	9.60947	+	29.5749i	0.323384	+	0.995275i	0.972165	+	0.234299i	$0.0752794\pi$
$883$	9.60947	+	29.5749i	0.323384	+	0.995275i	−0.648780	+	0.760976i	$0.724721\pi$
$884$	−14.2924	−	15.8733i	−0.480706	−	0.533878i
$885$	21.1594	+	2.22395i	0.711267	+	0.0747572i
$886$	13.8649	+	1.45726i	0.465800	+	0.0489576i
$887$	−27.4182	−	30.4510i	−0.920612	−	1.02244i	−0.999673	−	0.0255734i	$-0.991859\pi$
$887$	−27.4182	−	30.4510i	−0.920612	−	1.02244i	0.0790609	−	0.996870i	$-0.474808\pi$
$888$	−2.06839	−	6.36586i	−0.0694107	−	0.213624i
$889$	26.4526	+	5.93331i	0.887192	+	0.198997i
$890$		−	58.9094i		−	1.97465i
$891$	−2.24961	+	2.43706i	−0.0753647	+	0.0816446i
$892$	16.4527	−	9.49894i	0.550876	−	0.318048i
$893$	0.570412	−	1.28117i	0.0190881	−	0.0428726i
$894$	0.110256	−	0.518716i	0.00368753	−	0.0173485i
$895$	37.9205	+	12.3211i	1.26754	+	0.411850i
$896$	−2.40480	−	1.10315i	−0.0803388	−	0.0368535i
$897$	13.9276	−	19.1697i	0.465029	−	0.640057i
$898$	1.82423	−	1.64254i	0.0608752	−	0.0548123i
$899$	6.43381	−	7.14547i	0.214580	−	0.238315i
$900$	−6.99618	−	3.11490i	−0.233206	−	0.103830i
$901$	11.0237	−	19.0937i	0.367254	−	0.636102i
$902$	2.68299	+	1.59365i	0.0893339	+	0.0530627i
$903$	−25.0958	−	8.46624i	−0.835136	−	0.281739i
$904$	−1.30980	−	1.80278i	−0.0435632	−	0.0599596i
$905$	−61.3850	−	13.0478i	−2.04051	−	0.433723i
$906$	1.78348	+	8.39063i	0.0592523	+	0.278760i
$907$	1.58630	−	15.0927i	0.0526723	−	0.501143i	−0.936102	−	0.351728i	$-0.885594\pi$
$907$	1.58630	−	15.0927i	0.0526723	−	0.501143i	0.988775	−	0.149415i	$-0.0477391\pi$
$908$	27.1150	−	12.0724i	0.899844	−	0.400636i
$909$	2.38715	−	7.34689i	0.0791767	−	0.243681i
$910$	−0.389445	+	34.7449i	−0.0129100	+	1.15178i
$911$	21.1024	−	15.3318i	0.699154	−	0.507965i	−0.180503	−	0.983574i	$-0.557773\pi$
$911$	21.1024	−	15.3318i	0.699154	−	0.507965i	0.879656	+	0.475610i	$0.157773\pi$
$912$	6.89048	+	3.97822i	0.228167	+	0.131732i
$913$	14.9256	+	0.184844i	0.493964	+	0.00611745i
$914$	3.15709	+	5.46824i	0.104427	+	0.180873i
$915$	1.60703	+	15.2899i	0.0531267	+	0.505467i
$916$	5.88728	−	1.91289i	0.194521	−	0.0632037i
$917$	−41.8620	−	4.87484i	−1.38241	−	0.160981i
$918$	4.68134	+	3.40119i	0.154507	+	0.112256i
$919$	6.99865	+	15.7192i	0.230864	+	0.518530i	0.991416	−	0.130748i	$-0.0417379\pi$
$919$	6.99865	+	15.7192i	0.230864	+	0.518530i	−0.760551	+	0.649278i	$0.775071\pi$
$920$	−22.3391	+	4.74833i	−0.736500	+	0.156548i
$921$	15.7082	+	14.1438i	0.517604	+	0.466053i
$922$	−18.6217	+	1.95722i	−0.613273	+	0.0644576i
$923$	3.95170			0.130072
$924$	−4.20699	−	7.70073i	−0.138400	−	0.253335i
$925$	51.2603			1.68543
$926$	−9.06053	+	0.952300i	−0.297747	+	0.0312945i
$927$	11.3060	+	10.1800i	0.371338	+	0.334354i
$928$	6.64454	−	1.41234i	0.218118	−	0.0463623i
$929$	5.56886	+	12.5079i	0.182708	+	0.410370i	0.981559	−	0.191160i	$-0.0612249\pi$
$929$	5.56886	+	12.5079i	0.182708	+	0.410370i	−0.798851	+	0.601529i	$0.794558\pi$
$930$	4.07420	+	2.96008i	0.133598	+	0.0970648i
$931$	45.7808	−	31.7186i	1.50040	−	1.03953i
$932$	12.1921	−	3.96147i	0.399367	−	0.129762i
$933$	0.177145	+	1.68542i	0.00579946	+	0.0551782i
$934$	6.43256	+	11.1415i	0.210480	+	0.364562i
$935$	−40.8152	+	54.7387i	−1.33480	+	1.79015i
$936$	−3.19678	−	1.84566i	−0.104490	−	0.0603274i
$937$	−41.0509	+	29.8253i	−1.34108	+	0.974349i	−0.341672	+	0.939819i	$0.610993\pi$
$937$	−41.0509	+	29.8253i	−1.34108	+	0.974349i	−0.999404	+	0.0345294i	$0.989007\pi$
$938$	16.3150	−	27.5408i	0.532703	−	0.899241i
$939$	1.50787	−	4.64073i	0.0492073	−	0.151445i
$940$	0.572893	−	0.255068i	0.0186857	−	0.00831942i
$941$	5.18162	−	49.2998i	0.168916	−	1.60713i	−0.501509	−	0.865152i	$-0.667222\pi$
$941$	5.18162	−	49.2998i	0.168916	−	1.60713i	0.670426	−	0.741977i	$-0.266112\pi$
$942$	1.14112	+	5.36856i	0.0371798	+	0.174917i
$943$	5.90775	+	1.25573i	0.192383	+	0.0408922i
$944$	−3.51497	−	4.83794i	−0.114402	−	0.157461i
$945$	−1.85379	−	9.22883i	−0.0603038	−	0.300214i
$946$	21.9087	+	24.9465i	0.712313	+	0.811081i
$947$	−6.75124	+	11.6935i	−0.219386	+	0.379987i	−0.954620	−	0.297826i	$-0.903739\pi$
$947$	−6.75124	+	11.6935i	−0.219386	+	0.379987i	0.735235	+	0.677813i	$0.237072\pi$
$948$	−5.21912	−	2.32370i	−0.169509	−	0.0754703i
$949$	16.7373	−	18.5887i	0.543317	−	0.603414i
$950$	−45.2818	+	40.7719i	−1.46913	+	1.32281i
$951$	8.48489	−	11.6784i	0.275141	−	0.378700i
$952$	−12.4857	+	8.85932i	−0.404665	+	0.287132i
$953$	23.8940	+	7.76362i	0.774001	+	0.251488i	0.669277	−	0.743013i	$-0.266604\pi$
$953$	23.8940	+	7.76362i	0.774001	+	0.251488i	0.104724	+	0.994501i	$0.466604\pi$
$954$	0.792182	−	3.72692i	0.0256478	−	0.120664i
$955$	23.0124	−	51.6867i	0.744664	−	1.67254i
$956$	21.9527	−	12.6744i	0.710000	−	0.409919i
$957$	20.4669	+	9.41785i	0.661601	+	0.304436i
$958$			13.5061i			0.436362i
$959$	−0.951510	+	0.297416i	−0.0307259	+	0.00960407i
$960$	1.09944	+	3.38371i	0.0354841	+	0.109209i
$961$	19.4024	+	21.5486i	0.625885	+	0.695116i
$962$	24.5724	+	2.58266i	0.792246	+	0.0832684i
$963$	9.67762	+	1.01716i	0.311857	+	0.0327775i
$964$	−1.41003	−	1.56599i	−0.0454139	−	0.0504373i
$965$	27.4599	+	84.5130i	0.883967	+	2.72057i
$966$	−12.4929	−	11.5048i	−0.401954	−	0.370162i
$967$		−	33.8955i		−	1.09001i	−0.838434	−	0.545003i	$-0.816529\pi$
$967$		−	33.8955i		−	1.09001i	0.838434	−	0.545003i	$-0.183471\pi$
$968$	−0.272415	+	10.9966i	−0.00875575	+	0.353445i
$969$	39.8714	−	23.0198i	1.28086	−	0.739502i
$970$	−10.3170	+	23.1725i	−0.331260	+	0.744023i
$971$	−5.37974	+	25.3097i	−0.172644	+	0.812226i	0.803535	+	0.595258i	$0.202950\pi$
$971$	−5.37974	+	25.3097i	−0.172644	+	0.812226i	−0.976179	+	0.216968i	$0.930383\pi$
$972$	0.951057	+	0.309017i	0.0305052	+	0.00991172i
$973$	−24.5097	+	2.29864i	−0.785744	+	0.0736910i
$974$	−13.3849	+	18.4227i	−0.428879	+	0.590302i
$975$	21.0081	−	18.9158i	0.672798	−	0.605790i
$976$	2.89143	−	3.21126i	0.0925524	−	0.102790i
$977$	−45.1588	−	20.1060i	−1.44476	−	0.643247i	−0.473395	−	0.880850i	$-0.656972\pi$
$977$	−45.1588	−	20.1060i	−1.44476	−	0.643247i	−0.971362	+	0.237603i	$0.923638\pi$
$978$	−0.688375	+	1.19230i	−0.0220118	+	0.0381256i
$979$	−54.6814	+	5.06346i	−1.74763	+	0.161829i
$980$	24.7039	+	3.15779i	0.789138	+	0.100872i
$981$	1.47203	+	2.02607i	0.0469982	+	0.0646875i
$982$	−24.1347	−	5.12998i	−0.770169	−	0.163704i
$983$	−1.17851	−	5.54444i	−0.0375885	−	0.176840i	0.955349	−	0.295481i	$-0.0954798\pi$
$983$	−1.17851	−	5.54444i	−0.0375885	−	0.176840i	−0.992937	+	0.118640i	$0.962146\pi$
$984$	0.0983506	−	0.935743i	0.00313530	−	0.0298304i
$985$	37.9065	−	16.8771i	1.20780	−	0.537748i
$986$	12.1466	−	37.3834i	0.386827	−	1.19053i
$987$	0.401226	+	0.237683i	0.0127712	+	0.00756554i
$988$	−23.7607	+	17.2632i	−0.755928	+	0.549214i
$989$	55.6497	+	32.1294i	1.76956	+	1.02166i
$990$	−3.78511	+	11.1765i	−0.120299	+	0.355212i
$991$	−4.21364	−	7.29823i	−0.133851	−	0.231836i	0.791307	−	0.611419i	$-0.209401\pi$
$991$	−4.21364	−	7.29823i	−0.133851	−	0.231836i	−0.925158	+	0.379583i	$0.876068\pi$
$992$	−0.147956	−	1.40770i	−0.00469760	−	0.0446947i
$993$	10.8199	−	3.51560i	0.343359	−	0.111564i
$994$	0.327617	−	2.81337i	0.0103914	−	0.0892345i
$995$	16.2447	+	11.8025i	0.514993	+	0.374164i
$996$	−1.83055	−	4.11148i	−0.0580032	−	0.130277i
$997$	−0.534450	+	0.113601i	−0.0169262	+	0.00359777i	−0.216367	−	0.976312i	$-0.569421\pi$
$997$	−0.534450	+	0.113601i	−0.0169262	+	0.00359777i	0.199441	+	0.979910i	$0.436087\pi$
$998$	16.6401	+	14.9829i	0.526734	+	0.474274i
$999$	−6.65679	+	0.699657i	−0.210612	+	0.0221362i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.ba.b.19.1	yes	64
7.3	odd	6		462.2.ba.a.283.5	yes	64
11.7	odd	10		462.2.ba.a.271.5	✓	64
77.73	even	30	inner	462.2.ba.b.73.1	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.ba.a.271.5	✓	64	11.7	odd	10
462.2.ba.a.283.5	yes	64	7.3	odd	6
462.2.ba.b.19.1	yes	64	1.1	even	1	trivial
462.2.ba.b.73.1	yes	64	77.73	even	30	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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.ba (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.994522 + 0.104528i) q^{2} +(-0.743145 - 0.669131i) q^{3} +(0.978148 - 0.207912i) q^{4} +(-1.44711 - 3.25025i) q^{5} +(0.809017 + 0.587785i) q^{6} +(1.04897 + 2.42892i) q^{7} +(-0.951057 + 0.309017i) q^{8} +(0.104528 + 0.994522i) q^{9} +O(q^{10})\)	\(q+(-0.994522 + 0.104528i) q^{2} +(-0.743145 - 0.669131i) q^{3} +(0.978148 - 0.207912i) q^{4} +(-1.44711 - 3.25025i) q^{5} +(0.809017 + 0.587785i) q^{6} +(1.04897 + 2.42892i) q^{7} +(-0.951057 + 0.309017i) q^{8} +(0.104528 + 0.994522i) q^{9} +(1.77892 + 3.08119i) q^{10} +(2.70714 - 1.91609i) q^{11} +(-0.866025 - 0.500000i) q^{12} +(2.98635 - 2.16971i) q^{13} +(-1.29711 - 2.30597i) q^{14} +(-1.09944 + 3.38371i) q^{15} +(0.913545 - 0.406737i) q^{16} +(0.604849 - 5.75475i) q^{17} +(-0.207912 - 0.978148i) q^{18} +(-7.78258 - 1.65424i) q^{19} +(-2.09125 - 2.87836i) q^{20} +(0.845733 - 2.50694i) q^{21} +(-2.49203 + 2.18856i) q^{22} +(-3.20956 + 5.55911i) q^{23} +(0.913545 + 0.406737i) q^{24} +(-5.12438 + 5.69121i) q^{25} +(-2.74319 + 2.46998i) q^{26} +(0.587785 - 0.809017i) q^{27} +(1.53105 + 2.15775i) q^{28} +(-6.46051 - 2.09915i) q^{29} +(0.739718 - 3.48010i) q^{30} +(-0.575719 + 1.29309i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-3.29391 - 0.387501i) q^{33} +5.78645i q^{34} +(6.37665 - 6.92432i) q^{35} +(0.309017 + 0.951057i) q^{36} +(-4.47880 - 4.97421i) q^{37} +(7.91286 + 0.831675i) q^{38} +(-3.67110 - 0.385849i) q^{39} +(2.38066 + 2.64400i) q^{40} +(-0.290753 - 0.894847i) q^{41} +(-0.579054 + 2.58161i) q^{42} -10.0105i q^{43} +(2.24961 - 2.43706i) q^{44} +(3.08119 - 1.77892i) q^{45} +(2.61089 - 5.86415i) q^{46} +(-0.0366467 + 0.172409i) q^{47} +(-0.951057 - 0.309017i) q^{48} +(-4.79934 + 5.09572i) q^{49} +(4.50142 - 6.19567i) q^{50} +(-4.30017 + 3.87189i) q^{51} +(2.46998 - 2.74319i) q^{52} +(3.48078 + 1.54974i) q^{53} +(-0.500000 + 0.866025i) q^{54} +(-10.1453 - 6.02612i) q^{55} +(-1.74821 - 1.98589i) q^{56} +(4.67668 + 6.43690i) q^{57} +(6.64454 + 1.41234i) q^{58} +(-1.24332 - 5.84934i) q^{59} +(-0.371896 + 3.53836i) q^{60} +(3.94759 - 1.75758i) q^{61} +(0.437401 - 1.34618i) q^{62} +(-2.30597 + 1.29711i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-11.3737 - 6.56659i) q^{65} +(3.31637 + 0.0410712i) q^{66} +(6.04943 + 10.4779i) q^{67} +(-0.604849 - 5.75475i) q^{68} +(6.10494 - 1.98361i) q^{69} +(-5.61793 + 7.55293i) q^{70} +(0.866083 + 0.629246i) q^{71} +(-0.406737 - 0.913545i) q^{72} +(6.62823 - 1.40887i) q^{73} +(4.97421 + 4.47880i) q^{74} +(7.61632 - 0.800507i) q^{75} -7.95645 q^{76} +(7.49373 + 4.56553i) q^{77} +3.69133 q^{78} +(5.68174 - 0.597175i) q^{79} +(-2.64400 - 2.38066i) q^{80} +(-0.978148 + 0.207912i) q^{81} +(0.382698 + 0.859553i) q^{82} +(3.64104 + 2.64537i) q^{83} +(0.306030 - 2.62799i) q^{84} +(-19.5797 + 6.36183i) q^{85} +(1.04639 + 9.95570i) q^{86} +(3.39649 + 5.88289i) q^{87} +(-1.98254 + 2.65886i) q^{88} +(-14.3393 - 8.27880i) q^{89} +(-2.87836 + 2.09125i) q^{90} +(8.40263 + 4.97765i) q^{91} +(-1.98361 + 6.10494i) q^{92} +(1.29309 - 0.575719i) q^{93} +(0.0184243 - 0.175295i) q^{94} +(5.88553 + 27.6892i) q^{95} +(0.978148 + 0.207912i) q^{96} +(4.19057 + 5.76783i) q^{97} +(4.24040 - 5.56947i) q^{98} +(2.18856 + 2.49203i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 8 q^{4} - 2 q^{5} + 16 q^{6} + 16 q^{7} - 8 q^{9}+O(q^{10}) \) 64 * q - 8 * q^4 - 2 * q^5 + 16 * q^6 + 16 * q^7 - 8 * q^9	\( 64 q - 8 q^{4} - 2 q^{5} + 16 q^{6} + 16 q^{7} - 8 q^{9} - 2 q^{10} + 4 q^{11} + 2 q^{14} - 6 q^{15} + 8 q^{16} + 30 q^{17} - 10 q^{19} - 20 q^{20} + 4 q^{21} - 2 q^{22} + 4 q^{23} + 8 q^{24} - 12 q^{26} - 20 q^{29} - 18 q^{30} + 34 q^{31} + 8 q^{33} - 2 q^{35} - 16 q^{36} - 14 q^{37} + 12 q^{38} - 18 q^{39} + 12 q^{40} + 28 q^{41} + 4 q^{42} + 6 q^{44} - 12 q^{45} + 42 q^{46} + 24 q^{47} - 44 q^{49} + 14 q^{51} - 32 q^{54} + 14 q^{55} - 4 q^{56} - 10 q^{58} - 30 q^{59} + 2 q^{60} - 28 q^{61} + 8 q^{62} + 16 q^{63} + 16 q^{64} - 12 q^{65} - 4 q^{66} + 16 q^{67} - 30 q^{68} - 30 q^{70} - 24 q^{71} - 116 q^{73} - 44 q^{74} + 12 q^{75} - 32 q^{77} - 18 q^{80} + 8 q^{81} - 28 q^{82} - 8 q^{83} - 2 q^{84} - 80 q^{85} - 18 q^{86} - 10 q^{87} - 14 q^{88} - 24 q^{89} - 4 q^{90} + 48 q^{91} + 8 q^{92} + 76 q^{93} + 6 q^{94} + 98 q^{95} - 8 q^{96} - 120 q^{97} - 40 q^{98} + 8 q^{99}+O(q^{100}) \) 64 * q - 8 * q^4 - 2 * q^5 + 16 * q^6 + 16 * q^7 - 8 * q^9 - 2 * q^10 + 4 * q^11 + 2 * q^14 - 6 * q^15 + 8 * q^16 + 30 * q^17 - 10 * q^19 - 20 * q^20 + 4 * q^21 - 2 * q^22 + 4 * q^23 + 8 * q^24 - 12 * q^26 - 20 * q^29 - 18 * q^30 + 34 * q^31 + 8 * q^33 - 2 * q^35 - 16 * q^36 - 14 * q^37 + 12 * q^38 - 18 * q^39 + 12 * q^40 + 28 * q^41 + 4 * q^42 + 6 * q^44 - 12 * q^45 + 42 * q^46 + 24 * q^47 - 44 * q^49 + 14 * q^51 - 32 * q^54 + 14 * q^55 - 4 * q^56 - 10 * q^58 - 30 * q^59 + 2 * q^60 - 28 * q^61 + 8 * q^62 + 16 * q^63 + 16 * q^64 - 12 * q^65 - 4 * q^66 + 16 * q^67 - 30 * q^68 - 30 * q^70 - 24 * q^71 - 116 * q^73 - 44 * q^74 + 12 * q^75 - 32 * q^77 - 18 * q^80 + 8 * q^81 - 28 * q^82 - 8 * q^83 - 2 * q^84 - 80 * q^85 - 18 * q^86 - 10 * q^87 - 14 * q^88 - 24 * q^89 - 4 * q^90 + 48 * q^91 + 8 * q^92 + 76 * q^93 + 6 * q^94 + 98 * q^95 - 8 * q^96 - 120 * q^97 - 40 * q^98 + 8 * q^99

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