LMFDB - Embedded newform 504.2.w.a.205.65

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(205,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))

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

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

chi := DirichletCharacter("504.205");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.w (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			205.65
Character	$\chi$	$=$	504.205
Dual form			504.2.w.a.445.65

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.850020 + 1.13025i) q^{2} +(0.219417 + 1.71810i) q^{3} +(-0.554934 + 1.92147i) q^{4} +0.246812i q^{5} +(-1.75537 + 1.70841i) q^{6} +(-0.204482 + 2.63784i) q^{7} +(-2.64345 + 1.00607i) q^{8} +(-2.90371 + 0.753959i) q^{9} +O(q^{10})$	\(q+(0.850020 + 1.13025i) q^{2} +(0.219417 + 1.71810i) q^{3} +(-0.554934 + 1.92147i) q^{4} +0.246812i q^{5} +(-1.75537 + 1.70841i) q^{6} +(-0.204482 + 2.63784i) q^{7} +(-2.64345 + 1.00607i) q^{8} +(-2.90371 + 0.753959i) q^{9} +(-0.278959 + 0.209795i) q^{10} -1.86910i q^{11} +(-3.42303 - 0.531827i) q^{12} +(4.72805 - 2.72974i) q^{13} +(-3.15523 + 2.01110i) q^{14} +(-0.424046 + 0.0541547i) q^{15} +(-3.38410 - 2.13258i) q^{16} +(2.66475 + 4.61548i) q^{17} +(-3.32037 - 2.64104i) q^{18} +(-5.13617 - 2.96537i) q^{19} +(-0.474242 - 0.136964i) q^{20} +(-4.57693 + 0.227466i) q^{21} +(2.11255 - 1.58877i) q^{22} -1.17246 q^{23} +(-2.30855 - 4.32095i) q^{24} +4.93908 q^{25} +(7.10422 + 3.02355i) q^{26} +(-1.93250 - 4.82343i) q^{27} +(-4.95505 - 1.85673i) q^{28} +(-0.0123976 - 0.00715774i) q^{29} +(-0.421656 - 0.433246i) q^{30} +(-3.14612 + 5.44924i) q^{31} +(-0.466202 - 5.63761i) q^{32} +(3.21129 - 0.410111i) q^{33} +(-2.95156 + 6.93509i) q^{34} +(-0.651049 - 0.0504685i) q^{35} +(0.162658 - 5.99779i) q^{36} +(9.20518 + 5.31461i) q^{37} +(-1.01423 - 8.32578i) q^{38} +(5.72737 + 7.52429i) q^{39} +(-0.248311 - 0.652434i) q^{40} +(-5.17669 - 8.96629i) q^{41} +(-4.14757 - 4.97972i) q^{42} +(9.20509 + 5.31456i) q^{43} +(3.59141 + 1.03722i) q^{44} +(-0.186086 - 0.716670i) q^{45} +(-0.996614 - 1.32517i) q^{46} +(4.61006 + 7.98486i) q^{47} +(2.92145 - 6.28213i) q^{48} +(-6.91637 - 1.07878i) q^{49} +(4.19832 + 5.58240i) q^{50} +(-7.34515 + 5.59101i) q^{51} +(2.62136 + 10.5996i) q^{52} +(-5.81764 + 3.35882i) q^{53} +(3.80902 - 6.28421i) q^{54} +0.461315 q^{55} +(-2.11332 - 7.17871i) q^{56} +(3.96783 - 9.47509i) q^{57} +(-0.00244813 - 0.0200966i) q^{58} +(-10.7402 - 6.20086i) q^{59} +(0.131261 - 0.844845i) q^{60} +(2.41510 - 1.39436i) q^{61} +(-8.83328 + 1.07606i) q^{62} +(-1.39506 - 7.81369i) q^{63} +(5.97563 - 5.31900i) q^{64} +(0.673732 + 1.16694i) q^{65} +(3.19319 + 3.28096i) q^{66} +(1.70496 + 0.984357i) q^{67} +(-10.3473 + 2.55895i) q^{68} +(-0.257257 - 2.01440i) q^{69} +(-0.496363 - 0.778748i) q^{70} +8.78800 q^{71} +(6.91727 - 4.91440i) q^{72} +(0.891446 + 1.54403i) q^{73} +(1.81774 + 14.9217i) q^{74} +(1.08372 + 8.48582i) q^{75} +(8.54810 - 8.22342i) q^{76} +(4.93037 + 0.382196i) q^{77} +(-3.63596 + 12.8692i) q^{78} +(2.32610 + 4.02893i) q^{79} +(0.526345 - 0.835235i) q^{80} +(7.86309 - 4.37856i) q^{81} +(5.73387 - 13.4725i) q^{82} +(-3.89087 - 2.24639i) q^{83} +(2.10282 - 8.92066i) q^{84} +(-1.13916 + 0.657692i) q^{85} +(1.81772 + 14.9215i) q^{86} +(0.00957745 - 0.0228707i) q^{87} +(1.88045 + 4.94086i) q^{88} +(6.71334 - 11.6278i) q^{89} +(0.651841 - 0.819508i) q^{90} +(6.23381 + 13.0300i) q^{91} +(0.650637 - 2.25285i) q^{92} +(-10.0526 - 4.20969i) q^{93} +(-5.10625 + 11.9978i) q^{94} +(0.731888 - 1.26767i) q^{95} +(9.58367 - 2.03797i) q^{96} +(-2.06206 + 3.57159i) q^{97} +(-4.65976 - 8.73422i) q^{98} +(1.40922 + 5.42732i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	0.850020	+	1.13025i	0.601055	+	0.799208i
$2$	0.850020	+	1.13025i	0.601055	+	0.799208i
$3$	0.219417	+	1.71810i	0.126680	+	0.991944i
$3$	0.219417	+	1.71810i	0.126680	+	0.991944i
$4$	−0.554934	+	1.92147i	−0.277467	+	0.960735i
$5$			0.246812i			0.110378i	0.998476	+	0.0551888i	$0.0175761\pi$
$5$			0.246812i			0.110378i	−0.998476	+	0.0551888i	$0.982424\pi$
$6$	−1.75537	+	1.70841i	−0.716627	+	0.697456i
$7$	−0.204482	+	2.63784i	−0.0772869	+	0.997009i
$7$	−0.204482	+	2.63784i	−0.0772869	+	0.997009i
$8$	−2.64345	+	1.00607i	−0.934600	+	0.355701i
$9$	−2.90371	+	0.753959i	−0.967904	+	0.251320i
$10$	−0.278959	+	0.209795i	−0.0882146	+	0.0663429i
$11$		−	1.86910i		−	0.563554i	−0.959480	−	0.281777i	$-0.909076\pi$
$11$		−	1.86910i		−	0.563554i	0.959480	−	0.281777i	$-0.0909238\pi$
$12$	−3.42303	−	0.531827i	−0.988145	−	0.153525i
$13$	4.72805	−	2.72974i	1.31132	−	0.757093i	0.329009	−	0.944327i	$-0.393285\pi$
$13$	4.72805	−	2.72974i	1.31132	−	0.757093i	0.982315	+	0.187234i	$0.0599521\pi$
$14$	−3.15523	+	2.01110i	−0.843271	+	0.537488i
$15$	−0.424046	+	0.0541547i	−0.109488	+	0.0139827i
$16$	−3.38410	−	2.13258i	−0.846024	−	0.533144i
$17$	2.66475	+	4.61548i	0.646297	+	1.11942i	0.984000	+	0.178166i	$0.0570165\pi$
$17$	2.66475	+	4.61548i	0.646297	+	1.11942i	−0.337704	+	0.941253i	$0.609650\pi$
$18$	−3.32037	−	2.64104i	−0.782620	−	0.622500i
$19$	−5.13617	−	2.96537i	−1.17832	−	0.680302i	−0.222693	−	0.974889i	$-0.571485\pi$
$19$	−5.13617	−	2.96537i	−1.17832	−	0.680302i	−0.955625	+	0.294586i	$0.904818\pi$
$20$	−0.474242	−	0.136964i	−0.106044	−	0.0306261i
$21$	−4.57693	+	0.227466i	−0.998767	+	0.0496372i
$22$	2.11255	−	1.58877i	0.450397	−	0.338726i
$23$	−1.17246			−0.244475			−0.122237	−	0.992501i	$-0.539007\pi$
$23$	−1.17246			−0.244475			−0.122237	+	0.992501i	$0.539007\pi$
$24$	−2.30855	−	4.32095i	−0.471230	−	0.882010i
$25$	4.93908			0.987817
$26$	7.10422	+	3.02355i	1.39325	+	0.592966i
$27$	−1.93250	−	4.82343i	−0.371909	−	0.928269i
$28$	−4.95505	−	1.85673i	−0.936417	−	0.350889i
$29$	−0.0123976	−	0.00715774i	−0.00230217	−	0.00132916i	0.498848	−	0.866689i	$-0.333756\pi$
$29$	−0.0123976	−	0.00715774i	−0.00230217	−	0.00132916i	−0.501151	+	0.865360i	$0.667090\pi$
$30$	−0.421656	−	0.433246i	−0.0769835	−	0.0790996i
$31$	−3.14612	+	5.44924i	−0.565060	+	0.978713i	0.431984	+	0.901881i	$0.357814\pi$
$31$	−3.14612	+	5.44924i	−0.565060	+	0.978713i	−0.997044	+	0.0768318i	$0.975520\pi$
$32$	−0.466202	−	5.63761i	−0.0824136	−	0.996598i
$33$	3.21129	−	0.410111i	0.559013	−	0.0713912i
$34$	−2.95156	+	6.93509i	−0.506189	+	1.18936i
$35$	−0.651049	−	0.0504685i	−0.110047	−	0.00853074i
$36$	0.162658	−	5.99779i	0.0271097	−	0.999632i
$37$	9.20518	+	5.31461i	1.51332	+	0.873717i	0.999878	+	0.0155929i	$0.00496358\pi$
$37$	9.20518	+	5.31461i	1.51332	+	0.873717i	0.513443	+	0.858124i	$0.328370\pi$
$38$	−1.01423	−	8.32578i	−0.164530	−	1.35062i
$39$	5.72737	+	7.52429i	0.917113	+	1.20485i
$40$	−0.248311	−	0.652434i	−0.0392614	−	0.103159i
$41$	−5.17669	−	8.96629i	−0.808463	−	1.40030i	−0.913928	−	0.405877i	$-0.866966\pi$
$41$	−5.17669	−	8.96629i	−0.808463	−	1.40030i	0.105464	−	0.994423i	$-0.466367\pi$
$42$	−4.14757	−	4.97972i	−0.639984	−	0.768388i
$43$	9.20509	+	5.31456i	1.40376	+	0.810463i	0.994777	−	0.102077i	$-0.0325487\pi$
$43$	9.20509	+	5.31456i	1.40376	+	0.810463i	0.408987	+	0.912540i	$0.365882\pi$
$44$	3.59141	+	1.03722i	0.541426	+	0.156367i
$45$	−0.186086	−	0.716670i	−0.0277401	−	0.106835i
$46$	−0.996614	−	1.32517i	−0.146943	−	0.195386i
$47$	4.61006	+	7.98486i	0.672446	+	1.16471i	0.977208	+	0.212282i	$0.0680897\pi$
$47$	4.61006	+	7.98486i	0.672446	+	1.16471i	−0.304762	+	0.952428i	$0.598577\pi$
$48$	2.92145	−	6.28213i	0.421674	−	0.906747i
$49$	−6.91637	−	1.07878i	−0.988053	−	0.154111i
$50$	4.19832	+	5.58240i	0.593732	+	0.789471i
$51$	−7.34515	+	5.59101i	−1.02853	+	0.782898i
$52$	2.62136	+	10.5996i	0.363517	+	1.46990i
$53$	−5.81764	+	3.35882i	−0.799114	+	0.461369i	−0.843161	−	0.537661i	$-0.819308\pi$
$53$	−5.81764	+	3.35882i	−0.799114	+	0.461369i	0.0440470	+	0.999029i	$0.485975\pi$
$54$	3.80902	−	6.28421i	0.518342	−	0.855173i
$55$	0.461315			0.0622037
$56$	−2.11332	−	7.17871i	−0.282404	−	0.959295i
$57$	3.96783	−	9.47509i	0.525552	−	1.25501i
$58$	−0.00244813	−	0.0200966i	−0.000321456	−	0.00263881i
$59$	−10.7402	−	6.20086i	−1.39825	−	0.807283i	−0.404045	−	0.914739i	$-0.632396\pi$
$59$	−10.7402	−	6.20086i	−1.39825	−	0.807283i	−0.994210	+	0.107457i	$0.965729\pi$
$60$	0.131261	−	0.844845i	0.0169457	−	0.109069i
$61$	2.41510	−	1.39436i	0.309222	−	0.178530i	−0.337356	−	0.941377i	$-0.609533\pi$
$61$	2.41510	−	1.39436i	0.309222	−	0.178530i	0.646578	+	0.762847i	$0.276199\pi$
$62$	−8.83328	+	1.07606i	−1.12183	+	0.136659i
$63$	−1.39506	−	7.81369i	−0.175762	−	0.984433i
$64$	5.97563	−	5.31900i	0.746954	−	0.664875i
$65$	0.673732	+	1.16694i	0.0835661	+	0.144741i
$66$	3.19319	+	3.28096i	0.393054	+	0.403858i
$67$	1.70496	+	0.984357i	0.208294	+	0.120258i	0.600518	−	0.799611i	$-0.294961\pi$
$67$	1.70496	+	0.984357i	0.208294	+	0.120258i	−0.392225	+	0.919870i	$0.628294\pi$
$68$	−10.3473	+	2.55895i	−1.25479	+	0.310319i
$69$	−0.257257	−	2.01440i	−0.0309702	−	0.242505i
$70$	−0.496363	−	0.778748i	−0.0593267	−	0.0930782i
$71$	8.78800			1.04294			0.521472	−	0.853268i	$-0.325383\pi$
$71$	8.78800			1.04294			0.521472	+	0.853268i	$0.325383\pi$
$72$	6.91727	−	4.91440i	0.815209	−	0.579167i
$73$	0.891446	+	1.54403i	0.104336	+	0.180715i	0.913467	−	0.406914i	$-0.133395\pi$
$73$	0.891446	+	1.54403i	0.104336	+	0.180715i	−0.809131	+	0.587629i	$0.800062\pi$
$74$	1.81774	+	14.9217i	0.211308	+	1.73461i
$75$	1.08372	+	8.48582i	0.125137	+	0.979859i
$76$	8.54810	−	8.22342i	0.980535	−	0.943290i
$77$	4.93037	+	0.382196i	0.561868	+	0.0435553i
$78$	−3.63596	+	12.8692i	−0.411691	+	1.45714i
$79$	2.32610	+	4.02893i	0.261707	+	0.453290i	0.966696	−	0.255929i	$-0.0823812\pi$
$79$	2.32610	+	4.02893i	0.261707	+	0.453290i	−0.704988	+	0.709219i	$0.749048\pi$
$80$	0.526345	−	0.835235i	0.0588472	−	0.0933821i
$81$	7.86309	−	4.37856i	0.873677	−	0.486507i
$82$	5.73387	−	13.4725i	0.633200	−	1.48779i
$83$	−3.89087	−	2.24639i	−0.427078	−	0.246574i	0.271023	−	0.962573i	$-0.412638\pi$
$83$	−3.89087	−	2.24639i	−0.427078	−	0.246574i	−0.698101	+	0.715999i	$0.745971\pi$
$84$	2.10282	−	8.92066i	0.229437	−	0.973324i
$85$	−1.13916	+	0.657692i	−0.123559	+	0.0713367i
$86$	1.81772	+	14.9215i	0.196010	+	1.60903i
$87$	0.00957745	−	0.0228707i	0.00102681	−	0.00245200i
$88$	1.88045	+	4.94086i	0.200456	+	0.526697i
$89$	6.71334	−	11.6278i	0.711612	−	1.23255i	−0.252639	−	0.967561i	$-0.581299\pi$
$89$	6.71334	−	11.6278i	0.711612	−	1.23255i	0.964252	−	0.264988i	$-0.0853680\pi$
$90$	0.651841	−	0.819508i	0.0687100	−	0.0863837i
$91$	6.23381	+	13.0300i	0.653481	+	1.36592i
$92$	0.650637	−	2.25285i	0.0678336	−	0.234875i
$93$	−10.0526	−	4.20969i	−1.04241	−	0.436524i
$94$	−5.10625	+	11.9978i	−0.526669	+	1.23748i
$95$	0.731888	−	1.26767i	0.0750901	−	0.130060i
$96$	9.58367	−	2.03797i	0.978129	−	0.207999i
$97$	−2.06206	+	3.57159i	−0.209370	+	0.362640i	−0.951516	−	0.307598i	$-0.900475\pi$
$97$	−2.06206	+	3.57159i	−0.209370	+	0.362640i	0.742146	+	0.670238i	$0.233808\pi$
$98$	−4.65976	−	8.73422i	−0.470707	−	0.882290i
$99$	1.40922	+	5.42732i	0.141632	+	0.545466i
$100$	−2.74086	+	9.49030i	−0.274086	+	0.949030i
$101$			11.6788i			1.16209i	0.813873	+	0.581043i	$0.197355\pi$
$101$			11.6788i			1.16209i	−0.813873	+	0.581043i	$0.802645\pi$
$102$	−12.5628	−	3.54940i	−1.24390	−	0.351443i
$103$	11.7555			1.15830			0.579150	−	0.815221i	$-0.303384\pi$
$103$	11.7555			1.15830			0.579150	+	0.815221i	$0.303384\pi$
$104$	−9.75203	+	11.9727i	−0.956265	+	1.17402i
$105$	−0.0561414	−	1.12964i	−0.00547884	−	0.110242i
$106$	−8.74141	−	3.72033i	−0.849041	−	0.361351i
$107$	1.77646	+	1.02564i	0.171737	+	0.0991525i	0.583405	−	0.812182i	$-0.301720\pi$
$107$	1.77646	+	1.02564i	0.171737	+	0.0991525i	−0.411668	+	0.911334i	$0.635053\pi$
$108$	10.3405	−	1.03656i	0.995013	−	0.0997426i
$109$	8.66752	−	5.00420i	0.830198	−	0.479315i	−0.0237225	−	0.999719i	$-0.507552\pi$
$109$	8.66752	−	5.00420i	0.830198	−	0.479315i	0.853920	+	0.520404i	$0.174218\pi$
$110$	0.392127	+	0.521401i	0.0373878	+	0.0497137i
$111$	−7.11124	+	16.9815i	−0.674969	+	1.61181i
$112$	6.31738	−	8.49063i	0.596936	−	0.802289i
$113$	−0.759378	−	1.31528i	−0.0714363	−	0.123731i	0.828095	−	0.560588i	$-0.189425\pi$
$113$	−0.759378	−	1.31528i	−0.0714363	−	0.123731i	−0.899531	+	0.436857i	$0.856092\pi$
$114$	14.0820	−	3.56937i	1.31890	−	0.334302i
$115$		−	0.289377i		−	0.0269845i
$116$	0.0206332	−	0.0198495i	0.00191575	−	0.00184298i
$117$	−11.6708	+	11.4911i	−1.07896	+	1.06236i
$118$	−2.12086	−	17.4100i	−0.195241	−	1.60272i
$119$	−12.7198	+	6.08540i	−1.16602	+	0.557847i
$120$	1.06646	−	0.569777i	0.0973541	−	0.0520133i
$121$	7.50648			0.682407
$122$	3.62886	+	1.54444i	0.328542	+	0.139827i
$123$	14.2691	−	10.8614i	1.28660	−	0.979341i
$124$	−8.72467	−	9.06915i	−0.783499	−	0.814434i
$125$			2.45308i			0.219410i
$126$	7.64560	−	8.21856i	0.681124	−	0.732168i
$127$	−6.26076			−0.555553			−0.277777	−	0.960646i	$-0.589597\pi$
$127$	−6.26076			−0.555553			−0.277777	+	0.960646i	$0.589597\pi$
$128$	11.0912	+	2.23271i	0.980334	+	0.197345i
$129$	−7.11118	+	16.9813i	−0.626105	+	1.49512i
$130$	−0.746247	+	1.75341i	−0.0654502	+	0.153784i
$131$		−	13.4485i		−	1.17500i	−0.809225	−	0.587499i	$-0.800112\pi$
$131$		−	13.4485i		−	1.17500i	0.809225	−	0.587499i	$-0.199888\pi$
$132$	−0.994035	+	6.39798i	−0.0865196	+	0.556873i
$133$	8.87242	−	12.9420i	0.769336	−	1.12222i
$134$	0.336676	+	2.76375i	0.0290844	+	0.238752i
$135$	1.19048	−	0.476963i	0.102460	−	0.0410505i
$136$	−11.6876	−	9.51985i	−1.00221	−	0.816321i
$137$	0.771014			0.0658722			0.0329361	−	0.999457i	$-0.489514\pi$
$137$	0.771014			0.0658722			0.0329361	+	0.999457i	$0.489514\pi$
$138$	2.05810	−	2.00304i	0.175197	−	0.170510i
$139$	−0.0270629	+	0.0156248i	−0.00229544	+	0.00132528i	−0.501147	−	0.865362i	$-0.667089\pi$
$139$	−0.0270629	+	0.0156248i	−0.00229544	+	0.00132528i	0.498852	+	0.866687i	$0.333755\pi$
$140$	0.458263	−	1.22297i	0.0387303	−	0.103359i
$141$	−12.7072	+	9.67254i	−1.07014	+	0.814575i
$142$	7.46997	+	9.93265i	0.626866	+	0.833529i
$143$	−5.10214	−	8.83717i	−0.426663	−	0.739001i
$144$	11.4343	+	3.64092i	0.952860	+	0.303410i
$145$	0.00176661	−	0.00305986i	0.000146709	−	0.000254108i
$146$	−0.987395	+	2.32001i	−0.0817174	+	0.192006i
$147$	0.335879	−	12.1197i	0.0277029	−	0.999616i
$148$	−15.3201	+	14.7382i	−1.25931	+	1.21147i
$149$		−	15.4650i		−	1.26694i	−0.773767	−	0.633470i	$-0.781630\pi$
$149$		−	15.4650i		−	1.26694i	0.773767	−	0.633470i	$-0.218370\pi$
$150$	−8.66993	+	8.43799i	−0.707897	+	0.688959i
$151$	5.66020			0.460621			0.230310	−	0.973117i	$-0.426026\pi$
$151$	5.66020			0.460621			0.230310	+	0.973117i	$0.426026\pi$
$152$	16.5606	+	2.67144i	1.34324	+	0.216682i
$153$	−11.2176	−	11.3929i	−0.906885	−	0.921063i
$154$	3.75893	+	5.89743i	0.302904	+	0.475229i
$155$	−1.34494	−	0.776500i	−0.108028	−	0.0623700i
$156$	−17.6360	+	6.82949i	−1.41201	+	0.546797i
$157$	−8.00342	−	4.62078i	−0.638743	−	0.368778i	0.145387	−	0.989375i	$-0.453557\pi$
$157$	−8.00342	−	4.62078i	−0.638743	−	0.368778i	−0.784130	+	0.620596i	$0.786891\pi$
$158$	−2.57647	+	6.05375i	−0.204973	+	0.481611i
$159$	−7.04726	−	9.25829i	−0.558884	−	0.734230i
$160$	1.39143	−	0.115064i	0.110002	−	0.00909661i
$161$	0.239747	−	3.09276i	0.0188947	−	0.243743i
$162$	11.6327	+	5.16540i	0.913947	+	0.405832i
$163$	2.08108	+	1.20151i	0.163002	+	0.0941095i	0.579282	−	0.815127i	$-0.303333\pi$
$163$	2.08108	+	1.20151i	0.163002	+	0.0941095i	−0.416280	+	0.909237i	$0.636666\pi$
$164$	20.1012	−	4.97116i	1.56964	−	0.388183i
$165$	0.101220	+	0.792584i	0.00787999	+	0.0617025i
$166$	−0.768326	−	6.30714i	−0.0596336	−	0.489529i
$167$	1.95626	+	3.38835i	0.151380	+	0.262198i	0.931735	−	0.363139i	$-0.118295\pi$
$167$	1.95626	+	3.38835i	0.151380	+	0.262198i	−0.780355	+	0.625337i	$0.784962\pi$
$168$	11.8700	−	5.20602i	0.915792	−	0.401653i
$169$	8.40295	−	14.5543i	0.646381	−	1.11956i
$170$	−1.71166	−	0.728481i	−0.131278	−	0.0558719i
$171$	17.1497	+	4.73812i	1.31147	+	0.362333i
$172$	−15.3200	+	14.7381i	−1.16814	+	1.12377i
$173$	−8.43502	+	4.86996i	−0.641303	+	0.370256i	−0.785116	−	0.619348i	$-0.787397\pi$
$173$	−8.43502	+	4.86996i	−0.641303	+	0.370256i	0.143813	+	0.989605i	$0.454063\pi$
$174$	0.0339907	−	0.00861566i	0.00257683	−	0.000653151i
$175$	−1.00995	+	13.0285i	−0.0763453	+	0.984862i
$176$	−3.98599	+	6.32520i	−0.300455	+	0.476780i
$177$	8.29709	−	19.8133i	0.623647	−	1.48926i
$178$	18.8488	−	2.29614i	1.41278	−	0.172103i
$179$	−16.5335	+	9.54562i	−1.23577	+	0.713473i	−0.968227	−	0.250073i	$-0.919546\pi$
$179$	−16.5335	+	9.54562i	−1.23577	+	0.713473i	−0.267544	+	0.963546i	$0.586212\pi$
$180$	1.48033	+	0.0401459i	0.110337	+	0.00299230i
$181$		−	11.0363i		−	0.820324i	−0.912013	−	0.410162i	$-0.865472\pi$
$181$		−	11.0363i		−	0.820324i	0.912013	−	0.410162i	$-0.134528\pi$
$182$	−9.42831	+	18.1215i	−0.698873	+	1.34326i
$183$	2.92556	+	3.84344i	0.216264	+	0.284115i
$184$	3.09934	−	1.17958i	0.228486	−	0.0869598i
$185$	−1.31171	+	2.27195i	−0.0964387	+	0.167037i
$186$	−3.78694	−	14.9403i	−0.277672	−	1.09548i
$187$	8.62678	−	4.98067i	0.630853	−	0.364223i
$188$	−17.9009	+	4.42703i	−1.30556	+	0.322874i
$189$	13.1186	−	4.11131i	0.954236	−	0.299054i
$190$	2.05490	−	0.250325i	0.149078	−	0.0181605i
$191$	1.32381	+	2.29290i	0.0957874	+	0.165909i	0.909937	−	0.414747i	$-0.136130\pi$
$191$	1.32381	+	2.29290i	0.0957874	+	0.165909i	−0.814150	+	0.580655i	$0.802796\pi$
$192$	10.4497	+	9.09964i	0.754143	+	0.656710i
$193$	0.675543	−	1.17007i	0.0486266	−	0.0842238i	−0.840688	−	0.541520i	$-0.817849\pi$
$193$	0.675543	−	1.17007i	0.0486266	−	0.0842238i	0.889314	+	0.457297i	$0.151182\pi$
$194$	−5.78957	+	0.705277i	−0.415667	+	0.0506359i
$195$	−1.85708	+	1.41358i	−0.132988	+	0.101229i
$196$	5.91097	−	12.6910i	0.422212	−	0.906497i
$197$		−	15.4647i		−	1.10181i	−0.834567	−	0.550907i	$-0.814282\pi$
$197$		−	15.4647i		−	1.10181i	0.834567	−	0.550907i	$-0.185718\pi$
$198$	−4.93636	+	6.20610i	−0.350812	+	0.441048i
$199$	−8.95285	−	15.5068i	−0.634651	−	1.09925i	−0.986589	−	0.163224i	$-0.947811\pi$
$199$	−8.95285	−	15.5068i	−0.634651	−	1.09925i	0.351938	−	0.936023i	$-0.385523\pi$
$200$	−13.0562	+	4.96908i	−0.923214	+	0.351367i
$201$	−1.31712	+	3.14526i	−0.0929028	+	0.221850i
$202$	−13.2000	+	9.92723i	−0.928749	+	0.698477i
$203$	0.0214160	−	0.0312391i	0.00150311	−	0.00219256i
$204$	−6.66689	−	17.2161i	−0.466776	−	1.20537i
$205$	2.21299	−	1.27767i	0.154562	−	0.0892362i
$206$	9.99238	+	13.2866i	0.696202	+	0.925723i
$207$	3.40449	−	0.883986i	0.236628	−	0.0614413i
$208$	−21.8215	−	0.845223i	−1.51305	−	0.0586056i
$209$	−5.54256	+	9.59999i	−0.383387	+	0.664046i
$210$	1.22905	−	1.02367i	0.0848128	−	0.0706399i
$211$	3.27095	−	1.88848i	0.225181	−	0.130008i	−0.383166	−	0.923680i	$-0.625166\pi$
$211$	3.27095	−	1.88848i	0.225181	−	0.130008i	0.608347	+	0.793671i	$0.291833\pi$
$212$	−3.22546	−	13.0423i	−0.221526	−	0.895752i
$213$	1.92824	+	15.0986i	0.132121	+	1.03454i
$214$	0.350796	+	2.87966i	0.0239799	+	0.196850i
$215$	−1.31170	+	2.27193i	−0.0894570	+	0.154944i
$216$	9.96118	+	10.8062i	0.677772	+	0.735272i
$217$	−13.7309	−	9.41323i	−0.932114	−	0.639012i
$218$	13.0236	+	5.54281i	0.882067	+	0.375406i
$219$	−2.45719	+	1.87038i	−0.166042	+	0.126388i
$220$	−0.255999	+	0.886403i	−0.0172595	+	0.0597613i
$221$	25.1981	+	14.5481i	1.69501	+	0.978614i
$222$	−25.2380	+	6.39711i	−1.69387	+	0.429346i
$223$	−2.01131	+	3.48369i	−0.134687	+	0.233285i	−0.925478	−	0.378802i	$-0.876336\pi$
$223$	−2.01131	+	3.48369i	−0.134687	+	0.233285i	0.790791	+	0.612087i	$0.209670\pi$
$224$	14.9664	−	0.0769743i	0.999987	−	0.00514306i
$225$	−14.3417	+	3.72387i	−0.956112	+	0.248258i
$226$	0.841112	−	1.97630i	0.0559499	−	0.131462i
$227$		−	19.8986i		−	1.32072i	−0.750951	−	0.660358i	$-0.770404\pi$
$227$		−	19.8986i		−	1.32072i	0.750951	−	0.660358i	$-0.229596\pi$
$228$	16.0042	+	12.8821i	1.05991	+	0.853139i
$229$		−	14.1186i		−	0.932985i	−0.884525	−	0.466492i	$-0.845518\pi$
$229$		−	14.1186i		−	0.932985i	0.884525	−	0.466492i	$-0.154482\pi$
$230$	0.327068	−	0.245976i	0.0215662	−	0.0162192i
$231$	0.425157	+	8.55472i	0.0279733	+	0.562859i
$232$	0.0399735	+	0.00644825i	0.00262439	+	0.000423348i
$233$	−1.07535	+	1.86256i	−0.0704484	+	0.122020i	−0.899098	−	0.437748i	$-0.855776\pi$
$233$	−1.07535	+	1.86256i	−0.0704484	+	0.122020i	0.828650	+	0.559768i	$0.189110\pi$
$234$	−22.9082	−	3.42322i	−1.49756	−	0.223783i
$235$	−1.97076	+	1.13782i	−0.128558	+	0.0742230i
$236$	17.8749	−	17.1959i	1.16355	−	1.11936i
$237$	−6.41171	+	4.88049i	−0.416485	+	0.317022i
$238$	−17.6901	−	9.20384i	−1.14668	−	0.596597i
$239$	−10.4593	−	18.1161i	−0.676559	−	1.17183i	−0.976011	−	0.217722i	$-0.930137\pi$
$239$	−10.4593	−	18.1161i	−0.676559	−	1.17183i	0.299452	−	0.954111i	$-0.403196\pi$
$240$	1.55050	+	0.721047i	0.100085	+	0.0465434i
$241$	−3.94215			−0.253937			−0.126968	−	0.991907i	$-0.540525\pi$
$241$	−3.94215			−0.253937			−0.126968	+	0.991907i	$0.540525\pi$
$242$	6.38065	+	8.48421i	0.410164	+	0.545385i
$243$	9.24808	+	12.5488i	0.593265	+	0.805007i
$244$	1.33900	+	5.41433i	0.0857207	+	0.346617i
$245$	0.266256	−	1.70704i	0.0170105	−	0.109059i
$246$	24.4051	+	6.89525i	1.55601	+	0.439625i
$247$	−32.3787			−2.06021
$248$	2.83427	−	17.5700i	0.179977	−	1.11570i
$249$	3.00580	−	7.17779i	0.190485	−	0.454874i
$250$	−2.77260	+	2.08517i	−0.175355	+	0.131878i
$251$		−	1.53948i		−	0.0971712i	−0.998819	−	0.0485856i	$-0.984529\pi$
$251$		−	1.53948i		−	0.0971712i	0.998819	−	0.0485856i	$-0.0154714\pi$
$252$	15.7879	+	1.65551i	0.994547	+	0.104287i
$253$			2.19144i			0.137775i
$254$	−5.32177	−	7.07623i	−0.333918	−	0.444002i
$255$	−1.37993	−	1.81287i	−0.0864144	−	0.113526i
$256$	6.90423	+	14.4337i	0.431514	+	0.902106i
$257$	−2.61369			−0.163038			−0.0815188	−	0.996672i	$-0.525977\pi$
$257$	−2.61369			−0.163038			−0.0815188	+	0.996672i	$0.525977\pi$
$258$	−25.2378	+	6.39706i	−1.57124	+	0.398263i
$259$	−15.9014	+	23.1950i	−0.988063	+	1.44127i
$260$	−2.61611	+	0.646983i	−0.162244	+	0.0401242i
$261$	0.0413956	+	0.0114368i	0.00256232	+	0.000707917i
$262$	15.2001	−	11.4315i	0.939068	−	0.706238i
$263$	−4.78361			−0.294970			−0.147485	−	0.989064i	$-0.547118\pi$
$263$	−4.78361			−0.294970			−0.147485	+	0.989064i	$0.547118\pi$
$264$	−8.07627	+	4.31490i	−0.497060	+	0.265564i
$265$	−0.828995	−	1.43586i	−0.0509248	−	0.0882043i
$266$	22.1695	−	0.972912i	1.35930	−	0.0596531i
$267$	21.4508	+	8.98282i	1.31277	+	0.549739i
$268$	−2.83755	+	2.72977i	−0.173331	+	0.166747i
$269$	−8.92577	+	5.15329i	−0.544214	+	0.314202i	−0.746785	−	0.665066i	$-0.768404\pi$
$269$	−8.92577	+	5.15329i	−0.544214	+	0.314202i	0.202571	+	0.979268i	$0.435070\pi$
$270$	1.55102	+	0.940111i	0.0943920	+	0.0572134i
$271$	3.85789	−	6.68207i	0.234350	−	0.405907i	−0.724733	−	0.689029i	$-0.758037\pi$
$271$	3.85789	−	6.68207i	0.234350	−	0.405907i	0.959084	+	0.283123i	$0.0913704\pi$
$272$	0.825100	−	21.3020i	0.0500290	−	1.29163i
$273$	−21.0190	+	13.5693i	−1.27213	+	0.821251i
$274$	0.655377	+	0.871440i	0.0395928	+	0.0526456i
$275$		−	9.23162i		−	0.556688i
$276$	4.01337	+	0.623545i	0.241576	+	0.0375330i
$277$		−	21.6643i		−	1.30168i	−0.759214	−	0.650842i	$-0.774416\pi$
$277$		−	21.6643i		−	1.30168i	0.759214	−	0.650842i	$-0.225584\pi$
$278$	−0.0406639	−	0.0173065i	−0.00243886	−	0.00103797i
$279$	5.02693	−	18.1951i	0.300954	−	1.08931i
$280$	1.77179	−	0.521592i	0.105885	−	0.0311711i
$281$	1.09787	−	1.90157i	0.0654936	−	0.113438i	−0.831419	−	0.555646i	$-0.812471\pi$
$281$	1.09787	−	1.90157i	0.0654936	−	0.113438i	0.896913	+	0.442207i	$0.145804\pi$
$282$	−21.7338	−	6.14051i	−1.29423	−	0.365662i
$283$	−18.1264	−	10.4653i	−1.07750	−	0.622097i	−0.147282	−	0.989095i	$-0.547053\pi$
$283$	−18.1264	−	10.4653i	−1.07750	−	0.622097i	−0.930222	+	0.366997i	$0.880386\pi$
$284$	−4.87676	+	16.8859i	−0.289382	+	1.00199i
$285$	2.33856	+	0.979307i	0.138525	+	0.0580091i
$286$	5.65130	−	13.2785i	0.334168	−	0.785172i
$287$	24.7102	−	11.8218i	1.45859	−	0.697820i
$288$	5.60424	+	16.0185i	0.330233	+	0.943899i
$289$	−5.70179	+	9.87578i	−0.335399	+	0.580929i
$290$	0.00496007		0.000604228i	0.000291265		3.54815e-5i
$291$	−6.58878	−	2.75914i	−0.386241	−	0.161744i
$292$	−3.46150	+	0.856053i	−0.202569	+	0.0500967i
$293$	−0.725056	+	0.418611i	−0.0423582	+	0.0244555i	−0.521030	−	0.853539i	$-0.674452\pi$
$293$	−0.725056	+	0.418611i	−0.0423582	+	0.0244555i	0.478671	+	0.877994i	$0.341119\pi$
$294$	13.9838	−	9.92236i	0.815552	−	0.578684i
$295$	1.53044	−	2.65081i	0.0891059	−	0.154336i
$296$	−29.6803	−	4.78782i	−1.72513	−	0.278286i
$297$	−9.01545	+	3.61202i	−0.523129	+	0.209591i
$298$	17.4793	−	13.1455i	1.01255	−	0.761500i
$299$	−5.54344	+	3.20051i	−0.320586	+	0.185090i
$300$	−16.9067	−	2.62674i	−0.976106	−	0.151655i
$301$	−15.9012	+	23.1948i	−0.916532	+	1.33693i
$302$	4.81128	+	6.39745i	0.276858	+	0.368132i
$303$	−20.0653	+	2.56253i	−1.15272	+	0.147214i
$304$	11.0574	+	20.9884i	0.634187	+	1.20377i
$305$	0.344145	+	0.596076i	0.0197057	+	0.0341312i
$306$	3.34172	−	22.3629i	0.191033	−	1.27840i
$307$			2.44381i			0.139475i	0.997565	+	0.0697377i	$0.0222162\pi$
$307$			2.44381i			0.139475i	−0.997565	+	0.0697377i	$0.977784\pi$
$308$	−3.47041	+	9.26147i	−0.197745	+	0.527721i
$309$	2.57935	+	20.1970i	0.146734	+	1.14897i
$310$	−0.265583	−	2.18016i	−0.0150841	−	0.123825i
$311$	4.38036	−	7.58701i	0.248387	−	0.430220i	−0.714691	−	0.699440i	$-0.753433\pi$
$311$	4.38036	−	7.58701i	0.248387	−	0.430220i	0.963079	+	0.269221i	$0.0867661\pi$
$312$	−22.7100	−	14.1279i	−1.28570	−	0.799836i
$313$	4.31888	+	7.48051i	0.244117	+	0.422824i	0.961883	−	0.273461i	$-0.0881685\pi$
$313$	4.31888	+	7.48051i	0.244117	+	0.422824i	−0.717766	+	0.696285i	$0.754835\pi$
$314$	−1.58043	−	12.9736i	−0.0891887	−	0.732144i
$315$	1.92851	−	0.344318i	0.108659	−	0.0194001i
$316$	−9.03231	+	2.23375i	−0.508107	+	0.125658i
$317$	12.2505	−	7.07282i	0.688056	−	0.397249i	−0.114828	−	0.993385i	$-0.536632\pi$
$317$	12.2505	−	7.07282i	0.688056	−	0.397249i	0.802883	+	0.596136i	$0.203298\pi$
$318$	4.47388	−	15.8349i	0.250883	−	0.887977i
$319$	−0.0133785	+	0.0231722i	−0.000749052	+	0.00129740i
$320$	1.31279	+	1.47486i	0.0733873	+	0.0824470i
$321$	−1.37237	+	3.27718i	−0.0765980	+	0.182914i
$322$	3.69938	−	2.35793i	0.206158	−	0.131402i
$323$		−	31.6079i		−	1.75871i
$324$	4.04978	+	17.5385i	0.224988	+	0.974362i
$325$	23.3522	−	13.4824i	1.29535	−	0.747870i
$326$	0.410948	+	3.37344i	0.0227603	+	0.186838i
$327$	10.4995	+	13.7936i	0.580623	+	0.762790i
$328$	22.7051	+	18.4938i	1.25368	+	1.02115i
$329$	−22.0054	+	10.5278i	−1.21320	+	0.580418i
$330$	−0.809779	+	0.788116i	−0.0445769	+	0.0433843i
$331$	−9.83478	+	5.67811i	−0.540568	+	0.312097i	−0.745309	−	0.666719i	$-0.767698\pi$
$331$	−9.83478	+	5.67811i	−0.540568	+	0.312097i	0.204741	+	0.978816i	$0.434365\pi$
$332$	6.47555	−	6.22959i	0.355392	−	0.341893i
$333$	−30.7362	−	8.49178i	−1.68433	−	0.465346i
$334$	−2.16682	+	5.09123i	−0.118563	+	0.278580i
$335$	−0.242951	+	0.420803i	−0.0132738	+	0.0229909i
$336$	15.9739	+	8.99088i	0.871445	+	0.490493i
$337$	7.01019	+	12.1420i	0.381869	+	0.661417i	0.991329	−	0.131400i	$-0.0419472\pi$
$337$	7.01019	+	12.1420i	0.381869	+	0.661417i	−0.609460	+	0.792817i	$0.708614\pi$
$338$	23.5927	−	2.87403i	1.28327	−	0.156327i
$339$	2.09316	−	1.59328i	0.113685	−	0.0865351i
$340$	−0.631579	−	2.55383i	−0.0342522	−	0.138501i
$341$	10.1852	+	5.88041i	0.551557	+	0.318442i
$342$	9.22234	+	23.4110i	0.498687	+	1.26592i
$343$	4.25992	−	18.0237i	0.230014	−	0.973187i
$344$	−29.6800	−	4.78777i	−1.60024	−	0.258139i
$345$	0.497177	−	0.0634942i	0.0267671	−	0.00341841i
$346$	−12.6742	−	5.39413i	−0.681370	−	0.289990i
$347$	−5.50995	−	3.18117i	−0.295790	−	0.170774i	0.344760	−	0.938691i	$-0.387960\pi$
$347$	−5.50995	−	3.18117i	−0.295790	−	0.170774i	−0.640550	+	0.767917i	$0.721294\pi$
$348$	0.0386306	+	0.0310945i	0.00207082	+	0.00166684i
$349$	−4.42346	−	2.55388i	−0.236782	−	0.136706i	0.376915	−	0.926248i	$-0.376985\pi$
$349$	−4.42346	−	2.55388i	−0.236782	−	0.136706i	−0.613697	+	0.789542i	$0.710318\pi$
$350$	−15.5840	+	9.93298i	−0.832997	+	0.530940i
$351$	−22.3036	−	17.5302i	−1.19048	−	0.935691i
$352$	−10.5372	+	0.871375i	−0.561637	+	0.0464445i
$353$	−21.3677			−1.13729			−0.568644	−	0.822584i	$-0.692532\pi$
$353$	−21.3677			−1.13729			−0.568644	+	0.822584i	$0.692532\pi$
$354$	29.4467	−	7.46387i	1.56507	−	0.396700i
$355$			2.16898i			0.115118i
$356$	18.6171	+	19.3522i	0.986704	+	1.02566i
$357$	−13.2462	−	20.5186i	−0.701065	−	1.08596i
$358$	−24.8427	−	10.5730i	−1.31298	−	0.558802i
$359$	−7.57368	+	13.1180i	−0.399723	+	0.692341i	−0.993692	−	0.112147i	$-0.964227\pi$
$359$	−7.57368	+	13.1180i	−0.399723	+	0.692341i	0.593968	+	0.804489i	$0.297561\pi$
$360$	1.21293	+	1.70726i	0.0639271	+	0.0899808i
$361$	8.08683	+	14.0068i	0.425623	+	0.737200i
$362$	12.4738	−	9.38110i	0.655610	−	0.493060i
$363$	1.64705	+	12.8969i	0.0864476	+	0.676910i
$364$	−28.4961	+	4.74729i	−1.49360	+	0.248826i
$365$	−0.381085	+	0.220019i	−0.0199469	+	0.0115163i
$366$	−1.85726	+	6.57361i	−0.0970806	+	0.343608i
$367$	24.4406			1.27579			0.637895	−	0.770123i	$-0.279805\pi$
$367$	24.4406			1.27579			0.637895	+	0.770123i	$0.279805\pi$
$368$	3.96772	+	2.50036i	0.206832	+	0.130340i
$369$	21.7918	+	22.1325i	1.13444	+	1.15217i
$370$	−3.68285	+	0.448639i	−0.191462	+	0.0233236i
$371$	−7.67041	−	16.0328i	−0.398228	−	0.832382i
$372$	13.6673	−	16.9798i	0.708618	−	0.880359i
$373$			30.9464i			1.60235i	0.598433	+	0.801173i	$0.295790\pi$
$373$			30.9464i			1.60235i	−0.598433	+	0.801173i	$0.704210\pi$
$374$	12.9623	+	5.51676i	0.670267	+	0.285265i
$375$	−4.21463	+	0.538248i	−0.217643	+	0.0277950i
$376$	−20.2198	−	16.4695i	−1.04276	−	0.849349i
$377$	−0.0781550			−0.00402519
$378$	15.7979	+	11.3326i	0.812554	+	0.582885i
$379$			7.96954i			0.409368i	0.978828	+	0.204684i	$0.0656167\pi$
$379$			7.96954i			0.409368i	−0.978828	+	0.204684i	$0.934383\pi$
$380$	2.02964	+	2.10977i	0.104118	+	0.108229i
$381$	−1.37372	−	10.7566i	−0.0703777	−	0.551077i
$382$	−1.46629	+	3.44525i	−0.0750221	+	0.176274i
$383$	6.91005			0.353087			0.176544	−	0.984293i	$-0.443508\pi$
$383$	6.91005			0.353087			0.176544	+	0.984293i	$0.443508\pi$
$384$	−1.40241	+	19.5457i	−0.0715663	+	0.997436i
$385$	−0.0943306	+	1.21687i	−0.00480753	+	0.0620176i
$386$	1.89670	−	0.231053i	0.0965396	−	0.0117603i
$387$	−30.7359	−	8.49170i	−1.56239	−	0.431657i
$388$	−5.71839	−	5.94417i	−0.290307	−	0.301770i
$389$			37.6666i			1.90977i	0.296972	+	0.954886i	$0.404023\pi$
$389$			37.6666i			1.90977i	−0.296972	+	0.954886i	$0.595977\pi$
$390$	−3.17626	−	0.897398i	−0.160836	−	0.0454415i
$391$	−3.12431	−	5.41147i	−0.158003	−	0.273670i
$392$	19.3684	−	4.10668i	0.978252	−	0.207419i
$393$	23.1058	−	2.95082i	1.16553	−	0.148849i
$394$	17.4790	−	13.1453i	0.880579	−	0.662250i
$395$	−0.994388	+	0.574110i	−0.0500331	+	0.0288866i
$396$	−11.2105	−	0.304023i	−0.563347	−	0.0152778i
$397$	2.08436	+	1.20340i	0.104611	+	0.0603971i	0.551393	−	0.834246i	$-0.314097\pi$
$397$	2.08436	+	1.20340i	0.104611	+	0.0603971i	−0.446782	+	0.894643i	$0.647430\pi$
$398$	9.91647	−	23.3000i	0.497068	−	1.16793i
$399$	24.1824	+	12.4040i	1.21063	+	0.620975i
$400$	−16.7143	−	10.5330i	−0.835717	−	0.526649i
$401$	35.3441			1.76500			0.882501	−	0.470311i	$-0.155858\pi$
$401$	35.3441			1.76500			0.882501	+	0.470311i	$0.155858\pi$
$402$	−4.67452	+	1.18486i	−0.233144	+	0.0590952i
$403$			34.3524i			1.71121i
$404$	−22.4405	−	6.48097i	−1.11646	−	0.322440i
$405$	1.08068	+	1.94070i	0.0536994	+	0.0964343i
$406$	0.0535121	−	0.00234839i	0.00265576	−	0.000116549i
$407$	9.93352	−	17.2054i	0.492386	−	0.852838i
$408$	13.7916	−	22.1693i	0.682784	−	1.09754i
$409$	−12.2518	+	21.2207i	−0.605812	+	1.04930i	0.386111	+	0.922452i	$0.373818\pi$
$409$	−12.2518	+	21.2207i	−0.605812	+	1.04930i	−0.991923	+	0.126844i	$0.959515\pi$
$410$	3.32517	+	1.41519i	0.164218	+	0.0698911i
$411$	0.169174	+	1.32468i	0.00834472	+	0.0653415i
$412$	−6.52351	+	22.5878i	−0.321390	+	1.11282i
$413$	18.5530	−	27.0629i	0.912935	−	1.33168i
$414$	3.89301	+	3.09652i	0.191331	+	0.152185i
$415$	0.554436	−	0.960312i	0.0272162	−	0.0471399i
$416$	−17.5934	−	25.3823i	−0.862589	−	1.24447i
$417$	−0.0327829	−	0.0430683i	−0.00160539	−	0.00210906i
$418$	−15.5617	+	1.89570i	−0.761147	+	0.0927217i
$419$	−7.56849	+	4.36967i	−0.369745	+	0.213472i	−0.673347	−	0.739327i	$-0.735144\pi$
$419$	−7.56849	+	4.36967i	−0.369745	+	0.213472i	0.303602	+	0.952799i	$0.401811\pi$
$420$	2.20172	+	0.519001i	0.107433	+	0.0253247i
$421$	−0.976041	−	0.563517i	−0.0475693	−	0.0274642i	0.476027	−	0.879431i	$-0.342077\pi$
$421$	−0.976041	−	0.563517i	−0.0475693	−	0.0274642i	−0.523596	+	0.851967i	$0.675410\pi$
$422$	4.91483	+	2.09174i	0.239250	+	0.101825i
$423$	−19.4065	−	19.7099i	−0.943578	−	0.958330i
$424$	11.9994	−	14.7318i	0.582743	−	0.715441i
$425$	13.1614	+	22.7963i	0.638423	+	1.10578i
$426$	−15.4262	+	15.0135i	−0.747402	+	0.727408i
$427$	3.18425	+	6.65577i	0.154097	+	0.322095i
$428$	−2.95656	+	2.84426i	−0.142911	+	0.137482i
$429$	14.0636	−	10.7050i	0.678998	−	0.516842i
$430$	−3.68281	+	0.448635i	−0.177601	+	0.0216351i
$431$	13.1417	+	22.7620i	0.633011	+	1.09641i	0.986933	+	0.161132i	$0.0515146\pi$
$431$	13.1417	+	22.7620i	0.633011	+	1.09641i	−0.353922	+	0.935275i	$0.615152\pi$
$432$	−3.74657	+	20.4441i	−0.180257	+	0.983620i
$433$	−17.8216			−0.856451			−0.428225	−	0.903672i	$-0.640861\pi$
$433$	−17.8216			−0.856451			−0.428225	+	0.903672i	$0.640861\pi$
$434$	−1.03222	−	23.5208i	−0.0495480	−	1.12903i
$435$	0.00564477	+	0.00236383i	0.000270646	+	0.000113337i
$436$	4.80551	+	19.4314i	0.230142	+	0.930594i
$437$	6.02195	+	3.47678i	0.288069	+	0.166317i
$438$	−4.20266	−	1.18739i	−0.200811	−	0.0567357i
$439$	4.54117	+	7.86554i	0.216738	+	0.375402i	0.953809	−	0.300414i	$-0.0971249\pi$
$439$	4.54117	+	7.86554i	0.216738	+	0.375402i	−0.737071	+	0.675816i	$0.763792\pi$
$440$	−1.21946	+	0.464116i	−0.0581356	+	0.0221259i
$441$	20.8965	−	2.08219i	0.995072	−	0.0991521i
$442$	4.97585	+	40.8464i	0.236677	+	1.94287i
$443$	27.8506	−	16.0796i	1.32322	−	0.763964i	0.338982	−	0.940793i	$-0.389917\pi$
$443$	27.8506	−	16.0796i	1.32322	−	0.763964i	0.984242	+	0.176829i	$0.0565840\pi$
$444$	−28.6832	−	23.0876i	−1.36124	−	1.09569i
$445$	2.86989	+	1.65693i	0.136046	+	0.0785460i
$446$	−5.64709	+	0.687920i	−0.267398	+	0.0325740i
$447$	26.5703	−	3.39328i	1.25673	−	0.160496i
$448$	12.8088	+	16.8504i	0.605157	+	0.796106i
$449$	31.5353			1.48824			0.744122	−	0.668044i	$-0.232868\pi$
$449$	31.5353			1.48824			0.744122	+	0.668044i	$0.232868\pi$
$450$	−16.3996	−	13.0443i	−0.773085	−	0.614916i
$451$	−16.7589	+	9.67573i	−0.789144	+	0.455613i
$452$	2.94868	−	0.729229i	0.138694	−	0.0343000i
$453$	1.24194	+	9.72477i	0.0583516	+	0.456910i
$454$	22.4904	−	16.9142i	1.05553	−	0.793823i
$455$	−3.21596	+	1.53858i	−0.150766	+	0.0721296i
$456$	−0.956115	+	29.0388i	−0.0447742	+	1.35987i
$457$	−15.5543	−	26.9409i	−0.727600	−	1.26024i	−0.957895	−	0.287120i	$-0.907302\pi$
$457$	−15.5543	−	26.9409i	−0.727600	−	1.26024i	0.230294	−	0.973121i	$-0.426031\pi$
$458$	15.9576	−	12.0011i	0.745649	−	0.560775i
$459$	17.1128	−	21.7726i	0.798758	−	1.01626i
$460$	0.556029	+	0.160585i	0.0259250	+	0.00748731i
$461$	19.2187	+	11.0959i	0.895103	+	0.516788i	0.875608	−	0.483022i	$-0.160461\pi$
$461$	19.2187	+	11.0959i	0.895103	+	0.516788i	0.0194945	+	0.999810i	$0.493794\pi$
$462$	−9.30758	+	7.75221i	−0.433028	+	0.360665i
$463$	−18.6891	−	32.3704i	−0.868555	−	1.50438i	−0.863473	−	0.504395i	$-0.831716\pi$
$463$	−18.6891	−	32.3704i	−0.868555	−	1.50438i	−0.00508254	−	0.999987i	$-0.501618\pi$
$464$	0.0266901	+	0.0506612i	0.00123906	+	0.00235189i
$465$	1.03900	−	2.48111i	0.0481825	−	0.115059i
$466$	−3.01922	+	0.367797i	−0.139863	+	0.0170379i
$467$	18.5047	+	10.6837i	0.856296	+	0.494383i	0.862770	−	0.505596i	$-0.168727\pi$
$467$	18.5047	+	10.6837i	0.856296	+	0.494383i	−0.00647422	+	0.999979i	$0.502061\pi$
$468$	−15.6034	−	28.8019i	−0.721266	−	1.33137i
$469$	−2.94521	+	4.29611i	−0.135997	+	0.198376i
$470$	−2.96120	−	1.26028i	−0.136590	−	0.0581325i
$471$	6.18286	−	14.7645i	0.284891	−	0.680314i
$472$	34.6297	+	5.58622i	1.59396	+	0.257126i
$473$	9.93343	−	17.2052i	0.456740	−	0.791096i
$474$	−10.9663	−	3.09833i	−0.503697	−	0.142311i
$475$	−25.3680	−	14.6462i	−1.16396	−	0.672014i
$476$	−4.63427	−	27.8177i	−0.212411	−	1.27502i
$477$	14.3603	−	14.1393i	0.657515	−	0.647394i
$478$	11.5851	−	27.2207i	0.529890	−	1.24505i
$479$	2.33685			0.106773			0.0533866	−	0.998574i	$-0.482998\pi$
$479$	2.33685			0.106773			0.0533866	+	0.998574i	$0.482998\pi$
$480$	0.502994	+	2.36536i	0.0229584	+	0.107964i
$481$	58.0300			2.64594
$482$	−3.35091	−	4.45562i	−0.152630	−	0.202948i
$483$	5.36626	−	0.266695i	0.244173	−	0.0121351i
$484$	−4.16560	+	14.4235i	−0.189345	+	0.655613i
$485$	−0.881509	−	0.508940i	−0.0400273	−	0.0231098i
$486$	−6.32226	+	21.1194i	−0.286784	+	0.957995i
$487$	3.39056	+	5.87262i	0.153641	+	0.266114i	0.932563	−	0.361006i	$-0.117567\pi$
$487$	3.39056	+	5.87262i	0.153641	+	0.266114i	−0.778922	+	0.627120i	$0.784233\pi$
$488$	−4.98137	+	6.11569i	−0.225496	+	0.276844i
$489$	−1.60769	+	3.83912i	−0.0727021	+	0.173611i
$490$	2.15571	−	1.15008i	0.0973850	−	0.0519555i
$491$	−6.61633	+	3.81994i	−0.298591	+	0.172391i	−0.641810	−	0.766864i	$-0.721816\pi$
$491$	−6.61633	+	3.81994i	−0.298591	+	0.172391i	0.343219	+	0.939255i	$0.388483\pi$
$492$	12.9515	+	33.4450i	0.583898	+	1.50782i
$493$		−	0.0762943i		−	0.00343612i
$494$	−27.5226	−	36.5961i	−1.23830	−	1.64654i
$495$	−1.33953	+	0.347812i	−0.0602072	+	0.0156330i
$496$	22.2677	−	11.7314i	0.999850	−	0.526756i
$497$	−1.79699	+	23.1813i	−0.0806059	+	1.03982i
$498$	10.6677	−	2.70395i	0.478030	−	0.121167i
$499$		−	7.30518i		−	0.327025i	−0.986541	−	0.163512i	$-0.947718\pi$
$499$		−	7.30518i		−	0.327025i	0.986541	−	0.163512i	$-0.0522824\pi$
$500$	−4.71353	−	1.36130i	−0.210795	−	0.0608791i
$501$	−5.39227	+	4.10451i	−0.240909	+	0.183376i
$502$	1.74000	−	1.30859i	0.0776600	−	0.0584052i
$503$	2.20140			0.0981554			0.0490777	−	0.998795i	$-0.484372\pi$
$503$	2.20140			0.0981554			0.0490777	+	0.998795i	$0.484372\pi$
$504$	11.5489	+	19.2516i	0.514430	+	0.857532i
$505$	−2.88247			−0.128268
$506$	−2.47688	+	1.86277i	−0.110111	+	0.0828101i
$507$	26.8495	+	11.2436i	1.19243	+	0.499346i
$508$	3.47431	−	12.0299i	0.154148	−	0.533739i
$509$			20.5799i			0.912188i	0.889932	+	0.456094i	$0.150752\pi$
$509$			20.5799i			0.912188i	−0.889932	+	0.456094i	$0.849248\pi$
$510$	0.876033	−	3.10064i	0.0387914	−	0.137299i
$511$	−4.25519	+	2.03576i	−0.188238	+	0.0900569i
$512$	−10.4450	+	20.0724i	−0.461607	+	0.887085i
$513$	−4.37760	+	30.5045i	−0.193276	+	1.34681i
$514$	−2.22169	−	2.95413i	−0.0979945	−	0.130301i
$515$			2.90139i			0.127850i
$516$	−28.6829	−	23.0874i	−1.26270	−	1.01637i
$517$	14.9245	−	8.61664i	0.656377	−	0.378959i
$518$	−39.7327	+	1.74368i	−1.74575	+	0.0766128i
$519$	−10.2179	−	13.4236i	−0.448514	−	0.589232i
$520$	−2.95500	−	2.40692i	−0.129585	−	0.105550i
$521$	9.03080	+	15.6418i	0.395647	+	0.685280i	0.993183	−	0.116562i	$-0.0371872\pi$
$521$	9.03080	+	15.6418i	0.395647	+	0.685280i	−0.597537	+	0.801841i	$0.703854\pi$
$522$	0.0222607	+	0.0565089i	0.000974323	+	0.00247333i
$523$	−35.0286	−	20.2238i	−1.53169	−	0.884323i	−0.999284	−	0.0378360i	$-0.987954\pi$
$523$	−35.0286	−	20.2238i	−1.53169	−	0.884323i	−0.532409	−	0.846487i	$-0.678713\pi$
$524$	25.8408	+	7.46301i	1.12886	+	0.326023i
$525$	−22.6058	+	1.12348i	−0.986599	+	0.0490325i
$526$	−4.06616	−	5.40668i	−0.177293	−	0.235743i
$527$	−33.5345			−1.46079
$528$	−11.7419	−	5.46046i	−0.511001	−	0.237636i
$529$	−21.6253			−0.940232
$530$	0.918222	−	2.15748i	0.0398850	−	0.0937151i
$531$	35.8616	+	9.90783i	1.55626	+	0.429963i
$532$	19.9441	+	24.2300i	0.864687	+	1.05051i
$533$	−48.9513	−	28.2620i	−2.12032	−	1.22416i
$534$	8.08074	+	31.8803i	0.349688	+	1.37960i
$535$	−0.253140	+	0.438452i	−0.0109442	+	0.0189559i
$536$	−5.49730	−	0.886786i	−0.237447	−	0.0383033i
$537$	−20.0280	−	26.3117i	−0.864273	−	1.13543i
$538$	−13.4116	−	5.70796i	−0.578215	−	0.246087i
$539$	−2.01634	+	12.9274i	−0.0868501	+	0.556821i
$540$	0.255834	+	2.55215i	0.0110093	+	0.109827i
$541$	−28.5785	−	16.4998i	−1.22869	−	0.709383i	−0.261932	−	0.965086i	$-0.584360\pi$
$541$	−28.5785	−	16.4998i	−1.22869	−	0.709383i	−0.966755	+	0.255703i	$0.917693\pi$
$542$	10.8317	−	1.31950i	0.465261	−	0.0566774i
$543$	18.9615	−	2.42156i	0.813715	−	0.103919i
$544$	24.7780	−	17.1746i	1.06235	−	0.736354i
$545$	1.23509	+	2.13925i	0.0529056	+	0.0916352i
$546$	−33.2033	−	12.2226i	−1.42097	−	0.523078i
$547$	26.3987	+	15.2413i	1.12873	+	0.651672i	0.943615	−	0.331045i	$-0.107401\pi$
$547$	26.3987	+	15.2413i	1.12873	+	0.651672i	0.185114	+	0.982717i	$0.440735\pi$
$548$	−0.427862	+	1.48148i	−0.0182774	+	0.0632857i
$549$	−5.96148	+	5.86971i	−0.254430	+	0.250513i
$550$	10.4340	−	7.84706i	0.444909	−	0.334600i
$551$	0.0424507	+	0.0735267i	0.00180846	+	0.00313234i
$552$	2.70668	+	5.06614i	0.115204	+	0.215629i
$553$	−11.1033	+	5.31204i	−0.472161	+	0.225891i
$554$	24.4861	−	18.4151i	1.04032	−	0.782383i
$555$	−4.19123	−	1.75514i	−0.177908	−	0.0745015i
$556$	−0.0150044	−	0.0606713i	−0.000636329	−	0.00257303i
$557$	−10.3874	+	5.99718i	−0.440129	+	0.254108i	−0.703652	−	0.710544i	$-0.748449\pi$
$557$	−10.3874	+	5.99718i	−0.440129	+	0.254108i	0.263523	+	0.964653i	$0.415115\pi$
$558$	24.8380	−	9.78449i	1.05148	−	0.414210i
$559$	58.0295			2.45439
$560$	2.09559	+	1.55920i	0.0885547	+	0.0658884i
$561$	10.4501	+	13.7288i	0.441205	+	0.579630i
$562$	3.08247	−	0.375501i	0.130026	−	0.0158396i
$563$	31.0563	+	17.9304i	1.30887	+	0.755675i	0.981907	−	0.189363i	$-0.0606423\pi$
$563$	31.0563	+	17.9304i	1.30887	+	0.755675i	0.326960	+	0.945038i	$0.393976\pi$
$564$	−11.5338	−	29.7842i	−0.485662	−	1.25414i
$565$	0.324627	−	0.187423i	0.0136572	−	0.00788496i
$566$	−3.57941	−	29.3831i	−0.150454	−	1.23506i
$567$	9.94207	+	21.6369i	0.417528	+	0.908664i
$568$	−23.2306	+	8.84137i	−0.974736	+	0.370976i
$569$	−11.6802	−	20.2306i	−0.489658	−	0.848112i	0.510272	−	0.860013i	$-0.329545\pi$
$569$	−11.6802	−	20.2306i	−0.489658	−	0.848112i	−0.999929	+	0.0119015i	$0.996212\pi$
$570$	0.880962	+	3.47559i	0.0368995	+	0.145577i
$571$	9.41731	+	5.43709i	0.394102	+	0.227535i	0.683936	−	0.729542i	$-0.260267\pi$
$571$	9.41731	+	5.43709i	0.394102	+	0.227535i	−0.289834	+	0.957077i	$0.593600\pi$
$572$	19.8117	−	4.89957i	0.828369	−	0.204861i
$573$	−3.64896	+	2.77753i	−0.152438	+	0.116033i
$574$	34.3658	+	17.8799i	1.43440	+	0.746293i
$575$	−5.79088			−0.241496
$576$	−13.3412	+	19.9502i	−0.555884	+	0.831260i
$577$	12.7926	+	22.1575i	0.532564	+	0.922429i	0.999277	+	0.0380196i	$0.0121049\pi$
$577$	12.7926	+	22.1575i	0.532564	+	0.922429i	−0.466713	+	0.884409i	$0.654562\pi$
$578$	−16.0087	+	1.95016i	−0.665876	+	0.0811160i
$579$	2.15853	+	0.903914i	0.0897053	+	0.0375654i
$580$	0.00489909	+	0.00509252i	0.000203423	+	0.000211455i
$581$	6.72124	−	9.80413i	0.278844	−	0.406744i
$582$	−2.48206	−	9.79230i	−0.102885	−	0.405904i
$583$	6.27795	+	10.8737i	0.260006	+	0.450344i
$584$	−3.90990	−	3.18470i	−0.161793	−	0.131784i
$585$	−2.83615	−	2.88048i	−0.117260	−	0.119093i
$586$	−1.08945	−	0.463667i	−0.0450047	−	0.0191539i
$587$	14.1601	+	8.17531i	0.584448	+	0.337431i	0.762899	−	0.646518i	$-0.223775\pi$
$587$	14.1601	+	8.17531i	0.584448	+	0.337431i	−0.178451	+	0.983949i	$0.557109\pi$
$588$	23.1013	+	7.37101i	0.952680	+	0.303975i
$589$	32.3180	−	18.6588i	1.33164	−	0.768824i
$590$	4.29698	−	0.523452i	0.176904	−	0.0215502i
$591$	26.5698	−	3.39322i	1.09294	−	0.139578i
$592$	−19.8174	−	37.6159i	−0.814490	−	1.54600i
$593$	−15.7408	+	27.2639i	−0.646398	+	1.11959i	0.337578	+	0.941297i	$0.390392\pi$
$593$	−15.7408	+	27.2639i	−0.646398	+	1.11959i	−0.983977	+	0.178297i	$0.942941\pi$
$594$	−11.7458	−	7.11943i	−0.481936	−	0.292114i
$595$	−1.50195	−	3.13939i	−0.0615738	−	0.128703i
$596$	29.7155	+	8.58204i	1.21719	+	0.351534i
$597$	24.6778	−	18.7843i	1.00999	−	0.768791i
$598$	−8.32941	−	3.54499i	−0.340615	−	0.144965i
$599$	16.6671	−	28.8683i	0.681001	−	1.17953i	−0.293675	−	0.955905i	$-0.594878\pi$
$599$	16.6671	−	28.8683i	0.681001	−	1.17953i	0.974676	−	0.223623i	$-0.0717883\pi$
$600$	−11.4021	−	21.3415i	−0.465489	−	0.871264i
$601$	19.5850	−	33.9222i	0.798888	−	1.38371i	−0.121454	−	0.992597i	$-0.538756\pi$
$601$	19.5850	−	33.9222i	0.798888	−	1.38371i	0.920341	−	0.391117i	$-0.127911\pi$
$602$	−39.7323	+	1.74366i	−1.61937	+	0.0710664i
$603$	−5.69287	−	1.57282i	−0.231831	−	0.0640503i
$604$	−3.14104	+	10.8759i	−0.127807	+	0.442535i
$605$			1.85269i			0.0753225i
$606$	−19.9522	−	20.5007i	−0.810504	−	0.832783i
$607$	−20.7231			−0.841126			−0.420563	−	0.907263i	$-0.638167\pi$
$607$	−20.7231			−0.841126			−0.420563	+	0.907263i	$0.638167\pi$
$608$	−14.3231	+	30.3382i	−0.580879	+	1.23038i
$609$	0.0583709	+	0.0299404i	0.00236531	+	0.00121325i
$610$	−0.381186	+	0.895646i	−0.0154338	+	0.0362636i
$611$	43.5931	+	25.1685i	1.76359	+	1.01821i
$612$	28.1162	−	15.2319i	1.13653	−	0.615712i
$613$	−8.53195	+	4.92592i	−0.344602	+	0.198956i	−0.662305	−	0.749234i	$-0.730422\pi$
$613$	−8.53195	+	4.92592i	−0.344602	+	0.198956i	0.317703	+	0.948190i	$0.397088\pi$
$614$	−2.76211	+	2.07728i	−0.111470	+	0.0838323i
$615$	2.68072	+	3.52178i	0.108097	+	0.142012i
$616$	−13.4177	+	3.95000i	−0.540614	+	0.159150i
$617$	−15.8841	−	27.5121i	−0.639471	−	1.10760i	−0.985549	−	0.169391i	$-0.945820\pi$
$617$	−15.8841	−	27.5121i	−0.639471	−	1.10760i	0.346078	−	0.938206i	$-0.387513\pi$
$618$	−20.6352	+	20.0832i	−0.830070	+	0.807864i
$619$		−	39.3957i		−	1.58345i	−0.610880	−	0.791724i	$-0.709184\pi$
$619$		−	39.3957i		−	1.58345i	0.610880	−	0.791724i	$-0.290816\pi$
$620$	2.23837	−	2.15335i	0.0898952	−	0.0864807i
$621$	2.26578	+	5.65527i	0.0909224	+	0.226938i
$622$	12.2986	−	1.49820i	0.493129	−	0.0600723i
$623$	29.2996	+	20.0864i	1.17386	+	0.804744i
$624$	−3.33584	−	37.6770i	−0.133541	−	1.50829i
$625$	24.0900			0.963599
$626$	−4.78373	+	11.2400i	−0.191196	+	0.449241i
$627$	−17.7099	−	7.41625i	−0.707263	−	0.296177i
$628$	13.3201	−	12.8141i	0.531528	−	0.511339i
$629$			56.6484i			2.25872i
$630$	2.02844	+	1.88702i	0.0808149	+	0.0751808i
$631$	24.5273			0.976416			0.488208	−	0.872727i	$-0.337651\pi$
$631$	24.5273			0.976416			0.488208	+	0.872727i	$0.337651\pi$
$632$	−10.2023	−	8.31004i	−0.405827	−	0.330556i
$633$	3.96230	+	5.20544i	0.157487	+	0.206898i
$634$	18.4072	+	7.83408i	0.731043	+	0.311131i
$635$		−	1.54523i		−	0.0613206i
$636$	21.7003	−	8.40337i	0.860472	−	0.333215i
$637$	−35.6457	+	13.7794i	−1.41234	+	0.545959i
$638$	−0.0375624	+	0.00457580i	−0.00148711	+	0.000181158i
$639$	−25.5178	+	6.62579i	−1.00947	+	0.262112i
$640$	−0.551058	+	2.73744i	−0.0217825	+	0.108207i
$641$	−31.6572			−1.25038			−0.625192	−	0.780471i	$-0.714979\pi$
$641$	−31.6572			−1.25038			−0.625192	+	0.780471i	$0.714979\pi$
$642$	−4.87057	+	1.23455i	−0.192226	+	0.0487238i
$643$	−1.66533	+	0.961476i	−0.0656740	+	0.0379169i	−0.532477	−	0.846444i	$-0.678739\pi$
$643$	−1.66533	+	0.961476i	−0.0656740	+	0.0379169i	0.466803	+	0.884361i	$0.345406\pi$
$644$	5.80960	+	2.17694i	0.228930	+	0.0857835i
$645$	−4.19120	−	1.75512i	−0.165028	−	0.0691079i
$646$	35.7248	−	26.8673i	1.40557	−	1.05708i
$647$	−5.35164	−	9.26931i	−0.210395	−	0.364414i	0.741443	−	0.671015i	$-0.234142\pi$
$647$	−5.35164	−	9.26931i	−0.210395	−	0.364414i	−0.951838	+	0.306601i	$0.900808\pi$
$648$	−16.3805	+	19.4853i	−0.643488	+	0.765456i
$649$	−11.5900	+	20.0745i	−0.454947	+	0.787991i
$650$	35.0883	+	14.9336i	1.37628	+	0.585742i
$651$	13.1601	−	25.6564i	0.515783	−	1.00555i
$652$	−3.46352	+	3.33197i	−0.135642	+	0.130490i
$653$			28.3222i			1.10833i	0.832406	+	0.554166i	$0.186963\pi$
$653$			28.3222i			1.10833i	−0.832406	+	0.554166i	$0.813037\pi$
$654$	−6.66549	+	23.5919i	−0.260641	+	0.922517i
$655$	3.31924			0.129694
$656$	−1.60288	+	41.3825i	−0.0625821	+	1.61572i
$657$	−3.75264	−	3.81131i	−0.146404	−	0.148693i
$658$	−30.6041	−	15.9228i	−1.19307	−	0.620735i
$659$	−39.6810	−	22.9098i	−1.54575	−	0.892440i	−0.998459	−	0.0554980i	$-0.982325\pi$
$659$	−39.6810	−	22.9098i	−1.54575	−	0.892440i	−0.547292	−	0.836942i	$-0.684341\pi$
$660$	−1.57910	−	0.245340i	−0.0614662	−	0.00954983i
$661$	−31.4675	−	18.1677i	−1.22394	−	0.706643i	−0.258186	−	0.966095i	$-0.583125\pi$
$661$	−31.4675	−	18.1677i	−1.22394	−	0.706643i	−0.965756	+	0.259452i	$0.916458\pi$
$662$	−14.7774	−	6.28926i	−0.574342	−	0.244439i
$663$	−19.4662	+	46.4849i	−0.756005	+	1.80532i
$664$	12.5453	+	2.02373i	0.486854	+	0.0785358i
$665$	3.19424	+	2.18982i	0.123867	+	0.0849174i
$666$	−16.5285	−	41.9578i	−0.640467	−	1.62583i
$667$	0.0145356	+	0.00839216i	0.000562822	+	0.000324946i
$668$	−7.59620	+	1.87859i	−0.293906	+	0.0726850i
$669$	−6.42663	−	2.69124i	−0.248468	−	0.104049i
$670$	−0.682126	+	0.0830956i	−0.0263528	+	0.00321026i
$671$	−2.60619	−	4.51406i	−0.100611	−	0.174263i
$672$	3.41614	+	25.6969i	0.131780	+	0.991279i
$673$	−22.5166	+	38.9999i	−0.867952	+	1.50334i	−0.00386641	+	0.999993i	$0.501231\pi$
$673$	−22.5166	+	38.9999i	−0.867952	+	1.50334i	−0.864086	+	0.503345i	$0.832103\pi$
$674$	−7.76471	+	18.2442i	−0.299085	+	0.702740i
$675$	−9.54477	−	23.8233i	−0.367378	−	0.916960i
$676$	23.3026	+	24.2227i	0.896255	+	0.931643i
$677$	12.4287	−	7.17569i	0.477672	−	0.275784i	−0.241774	−	0.970333i	$-0.577729\pi$
$677$	12.4287	−	7.17569i	0.477672	−	0.275784i	0.719446	+	0.694548i	$0.244396\pi$
$678$	3.58003	+	1.01148i	0.137490	+	0.0388455i
$679$	−8.99961	−	6.16969i	−0.345373	−	0.236771i
$680$	2.34961	−	2.88465i	0.0901035	−	0.110621i
$681$	34.1877	−	4.36609i	1.31008	−	0.167309i
$682$	2.01125	+	16.5102i	0.0770148	+	0.632210i
$683$	−32.4429	+	18.7309i	−1.24139	+	0.716718i	−0.969377	−	0.245576i	$-0.921023\pi$
$683$	−32.4429	+	18.7309i	−1.24139	+	0.716718i	−0.272014	+	0.962293i	$0.587690\pi$
$684$	−18.6211	+	30.3234i	−0.711996	+	1.15944i
$685$			0.190295i			0.00727081i
$686$	23.9923	−	10.5057i	0.916030	−	0.401110i
$687$	24.2572	−	3.09786i	0.925468	−	0.118191i
$688$	−19.8172	−	37.6156i	−0.755524	−	1.43408i
$689$	−18.3374	+	31.7613i	−0.698599	+	1.21001i
$690$	0.494375	+	0.507964i	0.0188205	+	0.0193379i
$691$	−5.58089	+	3.22213i	−0.212307	+	0.122576i	−0.602383	−	0.798207i	$-0.705782\pi$
$691$	−5.58089	+	3.22213i	−0.212307	+	0.122576i	0.390076	+	0.920783i	$0.372449\pi$
$692$	−4.67661	−	18.9101i	−0.177778	−	0.718856i
$693$	−14.6045	+	2.60751i	−0.554781	+	0.0990511i
$694$	−1.08804	−	8.93168i	−0.0413016	−	0.339042i
$695$	−0.00385638	−	0.00667944i	−0.000146281	−	0.000253366i
$696$	−0.00230785	+	0.0700932i	−8.74787e−5	+	0.00265688i
$697$	27.5892	−	47.7859i	1.04501	−	1.81002i
$698$	−0.873495	−	7.17047i	−0.0330623	−	0.271406i
$699$	−3.43600	−	1.43887i	−0.129962	−	0.0544232i
$700$	−24.4734	−	9.17055i	−0.925008	−	0.346614i
$701$			9.34965i			0.353131i	0.984289	+	0.176566i	$0.0564988\pi$
$701$			9.34965i			0.353131i	−0.984289	+	0.176566i	$0.943501\pi$
$702$	0.854966	−	40.1097i	0.0322686	−	1.51384i
$703$	−31.5196	−	54.5935i	−1.18878	−	2.05903i
$704$	−9.94173	−	11.1690i	−0.374693	−	0.420949i
$705$	−2.38730	−	3.13629i	−0.0899108	−	0.118120i
$706$	−18.1630	−	24.1508i	−0.683572	−	0.908929i
$707$	−30.8068	−	2.38811i	−1.15861	−	0.0898141i
$708$	33.4663	+	26.9377i	1.25774	+	1.01238i
$709$	−34.4578	+	19.8942i	−1.29409	+	0.747142i	−0.979376	−	0.202045i	$-0.935241\pi$
$709$	−34.4578	+	19.8942i	−1.29409	+	0.747142i	−0.314712	+	0.949187i	$0.601908\pi$
$710$	−2.45149	+	1.84368i	−0.0920029	+	0.0691920i
$711$	−9.79199	−	9.94507i	−0.367228	−	0.372969i
$712$	−6.04790	+	37.4917i	−0.226655	+	1.40506i
$713$	3.68870	−	6.38902i	0.138143	−	0.239271i
$714$	11.9316	−	32.4128i	0.446529	−	1.21302i
$715$	2.18112	−	1.25927i	0.0815692	−	0.0470940i
$716$	−9.16663	−	37.0658i	−0.342573	−	1.38521i
$717$	28.8303	−	21.9451i	1.07669	−	0.819556i
$718$	−21.2644	+	2.59040i	−0.793580	+	0.0966727i
$719$	6.14870	−	10.6499i	0.229308	−	0.397173i	−0.728295	−	0.685264i	$-0.759687\pi$
$719$	6.14870	−	10.6499i	0.229308	−	0.397173i	0.957603	+	0.288090i	$0.0930204\pi$
$720$	−0.898622	+	2.82212i	−0.0334897	+	0.105174i
$721$	−2.40378	+	31.0090i	−0.0895215	+	1.15484i
$722$	−8.95723	+	21.0462i	−0.333354	+	0.783258i
$723$	−0.864975	−	6.77300i	−0.0321688	−	0.251891i
$724$	21.2060	+	6.12443i	0.788114	+	0.227613i
$725$	−0.0612326	−	0.0353527i	−0.00227412	−	0.00131296i
$726$	−13.1767	+	12.8242i	−0.489032	+	0.475949i
$727$	−9.42711	+	16.3282i	−0.349632	+	0.605581i	−0.986184	−	0.165653i	$-0.947027\pi$
$727$	−9.42711	+	16.3282i	−0.349632	+	0.605581i	0.636552	+	0.771234i	$0.280360\pi$
$728$	−29.5879	−	28.1725i	−1.09660	−	1.04414i
$729$	−19.5309	+	18.6425i	−0.723367	+	0.690464i
$730$	−0.572607	−	0.243701i	−0.0211931	−	0.00901976i
$731$			56.6479i			2.09520i
$732$	−9.00854	+	3.48853i	−0.332965	+	0.128940i
$733$		−	35.6402i		−	1.31640i	−0.752842	−	0.658201i	$-0.771318\pi$
$733$		−	35.6402i		−	1.31640i	0.752842	−	0.658201i	$-0.228682\pi$
$734$	20.7750	+	27.6240i	0.766819	+	1.01962i
$735$	2.99129	+	0.0828990i	0.110335	+	0.00305777i
$736$	0.546602	+	6.60987i	0.0201480	+	0.243643i
$737$	1.83986	−	3.18673i	0.0677720	−	0.117385i
$738$	−6.49181	+	43.4433i	−0.238967	+	1.59917i
$739$	23.5817	−	13.6149i	0.867465	−	0.500831i	0.000960259	−	1.00000i	$-0.499694\pi$
$739$	23.5817	−	13.6149i	0.867465	−	0.500831i	0.866505	+	0.499168i	$0.166361\pi$
$740$	−3.63756	−	3.78119i	−0.133720	−	0.138999i
$741$	−7.10444	−	55.6298i	−0.260988	−	2.04361i
$742$	11.6011	−	22.2977i	0.425890	−	0.818574i
$743$	4.04913	+	7.01330i	0.148548	+	0.257293i	0.930691	−	0.365806i	$-0.119207\pi$
$743$	4.04913	+	7.01330i	0.148548	+	0.257293i	−0.782143	+	0.623099i	$0.785873\pi$
$744$	30.8089	+	1.01440i	1.12951	+	0.0371895i
$745$	3.81694			0.139842
$746$	−34.9772	+	26.3051i	−1.28061	+	0.963098i
$747$	12.9917	+	3.58933i	0.475340	+	0.131327i
$748$	4.78293	+	19.3400i	0.174881	+	0.707142i
$749$	−3.06873	+	4.47630i	−0.112129	+	0.163560i
$750$	−4.19088	−	4.30607i	−0.153029	−	0.157236i
$751$	−2.06003			−0.0751716			−0.0375858	−	0.999293i	$-0.511967\pi$
$751$	−2.06003			−0.0751716			−0.0375858	+	0.999293i	$0.511967\pi$
$752$	1.42744	−	36.8528i	0.0520532	−	1.34388i
$753$	2.64498	−	0.337788i	0.0963883	−	0.0123097i
$754$	−0.0664333	−	0.0883348i	−0.00241936	−	0.00321696i
$755$			1.39700i			0.0508422i
$756$	0.619823	+	27.4885i	0.0225428	+	0.999746i
$757$			19.6209i			0.713134i	0.934270	+	0.356567i	$0.116053\pi$
$757$			19.6209i			0.713134i	−0.934270	+	0.356567i	$0.883947\pi$
$758$	−9.00758	+	6.77427i	−0.327170	+	0.246052i
$759$	−3.76510	+	0.480839i	−0.136665	+	0.0174533i
$760$	−0.659342	+	4.08735i	−0.0239168	+	0.148264i
$761$	−2.25946			−0.0819055			−0.0409527	−	0.999161i	$-0.513039\pi$
$761$	−2.25946			−0.0819055			−0.0409527	+	0.999161i	$0.513039\pi$
$762$	10.9900	−	10.6960i	0.398125	−	0.387474i
$763$	11.4279	+	23.8868i	0.413718	+	0.864760i
$764$	−5.14037	+	1.27125i	−0.185972	+	0.0459922i
$765$	2.81191	−	2.76862i	0.101665	−	0.100100i
$766$	5.87368	+	7.81009i	0.212225	+	0.282190i
$767$	−67.7069			−2.44475
$768$	−23.2836	+	15.0291i	−0.840174	+	0.542317i
$769$	5.98749	+	10.3706i	0.215914	+	0.373974i	0.953555	−	0.301219i	$-0.0973935\pi$
$769$	5.98749	+	10.3706i	0.215914	+	0.373974i	−0.737641	+	0.675193i	$0.764060\pi$
$770$	−1.45556	+	0.927749i	−0.0524546	+	0.0334338i
$771$	−0.573488	−	4.49057i	−0.0206537	−	0.161724i
$772$	1.87338	+	1.94735i	0.0674245	+	0.0700867i
$773$	−7.73185	+	4.46398i	−0.278095	+	0.160558i	−0.632561	−	0.774511i	$-0.717996\pi$
$773$	−7.73185	+	4.46398i	−0.278095	+	0.160558i	0.354466	+	0.935069i	$0.384663\pi$
$774$	−16.5284	−	41.9574i	−0.594100	−	1.50813i
$775$	−15.5390	+	26.9143i	−0.558176	+	0.966789i
$776$	1.85766	−	11.5159i	0.0666861	−	0.413396i
$777$	−43.3403	−	22.2307i	−1.55482	−	0.797522i
$778$	−42.5727	+	32.0173i	−1.52631	+	1.14788i
$779$			61.4032i			2.20000i
$780$	−1.68560	−	4.35277i	−0.0603541	−	0.155854i
$781$		−	16.4256i		−	0.587755i
$782$	3.46059	−	8.13111i	0.123750	−	0.290768i
$783$	−0.0105666	+	0.0736311i	−0.000377618	+	0.00263136i
$784$	21.1051	+	18.4004i	0.753754	+	0.657157i
$785$	1.14046	−	1.97534i	0.0407049	−	0.0705029i
$786$	22.9755	+	23.6071i	0.819510	+	0.842036i
$787$	3.07414	+	1.77486i	0.109581	+	0.0632668i	0.553789	−	0.832657i	$-0.313181\pi$
$787$	3.07414	+	1.77486i	0.109581	+	0.0632668i	−0.444208	+	0.895924i	$0.646515\pi$
$788$	29.7150	+	8.58188i	1.05855	+	0.305717i
$789$	−1.04961	−	8.21871i	−0.0373670	−	0.292594i
$790$	−1.49414	−	0.635903i	−0.0531590	−	0.0226244i
$791$	3.62478	−	1.73417i	0.128882	−	0.0616598i
$792$	−9.18548	−	12.9291i	−0.326392	−	0.459414i
$793$	7.61248	−	13.1852i	0.270327	−	0.468220i
$794$	0.411595	+	3.37876i	0.0146070	+	0.119908i
$795$	2.28505	−	1.73935i	0.0810425	−	0.0616883i
$796$	34.7641	−	8.59740i	1.23218	−	0.304727i
$797$	−14.0042	+	8.08535i	−0.496056	+	0.286398i	−0.727083	−	0.686549i	$-0.759125\pi$
$797$	−14.0042	+	8.08535i	−0.496056	+	0.286398i	0.231028	+	0.972947i	$0.425791\pi$
$798$	6.53591	+	37.8758i	0.231369	+	1.34079i
$799$	−24.5693	+	42.5553i	−0.869200	+	1.50550i
$800$	−2.30261	−	27.8446i	−0.0814095	−	0.984456i
$801$	−10.7267	+	38.8255i	−0.379009	+	1.37183i
$802$	30.0432	+	39.9477i	1.06086	+	1.41060i
$803$	2.88594	−	1.66620i	0.101843	−	0.0587989i
$804$	−5.31262	−	4.27623i	−0.187361	−	0.150811i
$805$	0.763329	+	0.0591723i	0.0269038	+	0.00208555i
$806$	−38.8268	+	29.2002i	−1.36762	+	1.02853i
$807$	−10.8123	−	14.2046i	−0.380612	−	0.500026i
$808$	−11.7498	−	30.8724i	−0.413355	−	1.08609i
$809$	−7.73189	−	13.3920i	−0.271839	−	0.470838i	0.697494	−	0.716591i	$-0.254298\pi$
$809$	−7.73189	−	13.3920i	−0.271839	−	0.470838i	−0.969333	+	0.245752i	$0.920965\pi$
$810$	−1.27488	+	2.87108i	−0.0447948	+	0.100879i
$811$			6.24515i			0.219297i	0.993970	+	0.109648i	$0.0349725\pi$
$811$			6.24515i			0.219297i	−0.993970	+	0.109648i	$0.965028\pi$
$812$	0.0481406	+	0.0584859i	0.00168940	+	0.00205245i
$813$	12.3269	+	5.16208i	0.432324	+	0.181042i
$814$	27.8901	−	3.39752i	0.977546	−	0.119083i
$815$	−0.296547	+	0.513634i	−0.0103876	+	0.0179918i
$816$	36.7800	−	3.25642i	1.28756	−	0.113998i
$817$	−31.5193	−	54.5930i	−1.10272	−	1.90997i
$818$	−34.3990	+	4.19043i	−1.20273	+	0.146515i
$819$	−27.9253	−	33.1353i	−0.975788	−	1.15784i
$820$	1.22694	+	4.96121i	0.0428467	+	0.173253i
$821$	14.9572	−	8.63556i	0.522011	−	0.301383i	−0.215746	−	0.976450i	$-0.569218\pi$
$821$	14.9572	−	8.63556i	0.522011	−	0.301383i	0.737757	+	0.675066i	$0.235885\pi$
$822$	−1.35342	+	1.31721i	−0.0472058	+	0.0459430i
$823$	−20.4285	+	35.3833i	−0.712094	+	1.23338i	0.251975	+	0.967734i	$0.418920\pi$
$823$	−20.4285	+	35.3833i	−0.712094	+	1.23338i	−0.964070	+	0.265650i	$0.914414\pi$
$824$	−31.0750	+	11.8269i	−1.08255	+	0.412008i
$825$	15.8608	−	2.02557i	0.552203	−	0.0705214i
$826$	46.3583	−	2.03445i	1.61301	−	0.0707875i
$827$		−	5.65493i		−	0.196641i	−0.995155	−	0.0983206i	$-0.968653\pi$
$827$		−	5.65493i		−	0.196641i	0.995155	−	0.0983206i	$-0.0313471\pi$
$828$	−0.190710	+	7.03217i	−0.00662763	+	0.244385i
$829$	−13.1244	+	7.57740i	−0.455830	+	0.263174i	−0.710289	−	0.703910i	$-0.751436\pi$
$829$	−13.1244	+	7.57740i	−0.455830	+	0.263174i	0.254459	+	0.967084i	$0.418103\pi$
$830$	1.55668	−	0.189632i	0.0540330	−	0.00658222i
$831$	37.2214	−	4.75352i	1.29120	−	0.164898i
$832$	13.7336	−	41.4604i	0.476126	−	1.43738i
$833$	−13.4513	−	34.7971i	−0.466061	−	1.20565i
$834$	0.0208119	−	0.0736618i	0.000720657	−	0.00255070i
$835$	−0.836284	+	0.482829i	−0.0289408	+	0.0167090i
$836$	−15.3704	−	15.9772i	−0.531595	−	0.552584i
$837$	32.3639	+	4.64444i	1.11866	+	0.160535i
$838$	−11.3722	−	4.83999i	−0.392846	−	0.167195i
$839$	−1.40726	+	2.43745i	−0.0485842	+	0.0841503i	−0.889295	−	0.457334i	$-0.848804\pi$
$839$	−1.40726	+	2.43745i	−0.0485842	+	0.0841503i	0.840711	+	0.541485i	$0.182138\pi$
$840$	1.28491	+	2.92966i	0.0443335	+	0.101083i
$841$	−14.4999	−	25.1146i	−0.499996	−	0.866019i
$842$	−0.192738	−	1.58217i	−0.00664218	−	0.0545252i
$843$	3.50798	+	1.46901i	0.120821	+	0.0505956i
$844$	1.81350	+	7.33301i	0.0624234	+	0.252413i
$845$	3.59218	+	2.07395i	0.123575	+	0.0713459i
$846$	5.78123	−	38.6881i	0.198763	−	1.33012i
$847$	−1.53494	+	19.8009i	−0.0527411	+	0.680366i
$848$	26.8504	+	1.04001i	0.922046	+	0.0357140i
$849$	14.0031	−	33.4392i	0.480587	−	1.14763i
$850$	−14.5780	+	34.2530i	−0.500022	+	1.17487i
$851$	−10.7927	−	6.23117i	−0.369969	−	0.213602i
$852$	−30.0816	−	4.67369i	−1.03058	−	0.160118i
$853$	28.8215	+	16.6401i	0.986830	+	0.569747i	0.904325	−	0.426844i	$-0.140375\pi$
$853$	28.8215	+	16.6401i	0.986830	+	0.569747i	0.0825050	+	0.996591i	$0.473708\pi$
$854$	−4.81602	+	9.25654i	−0.164801	+	0.316752i
$855$	−1.16942	+	4.23275i	−0.0399934	+	0.144757i
$856$	−5.72786	−	0.923978i	−0.195774	−	0.0315809i
$857$	22.9165			0.782812			0.391406	−	0.920218i	$-0.371989\pi$
$857$	22.9165			0.782812			0.391406	+	0.920218i	$0.371989\pi$
$858$	24.0537	+	6.79596i	0.821179	+	0.232010i
$859$			0.598606i			0.0204242i	0.999948	+	0.0102121i	$0.00325067\pi$
$859$			0.598606i			0.0204242i	−0.999948	+	0.0102121i	$0.996749\pi$
$860$	−3.63753	−	3.78115i	−0.124039	−	0.128936i
$861$	25.7329	+	39.8605i	0.876974	+	1.35844i
$862$	−14.5561	+	34.2015i	−0.495783	+	1.16491i
$863$	−12.0455	+	20.8635i	−0.410035	+	0.710201i	−0.994893	−	0.100935i	$-0.967817\pi$
$863$	−12.0455	+	20.8635i	−0.410035	+	0.710201i	0.584858	+	0.811135i	$0.301150\pi$
$864$	−26.2917	+	13.1434i	−0.894461	+	0.447146i
$865$	−1.20196	−	2.08186i	−0.0408680	−	0.0707854i
$866$	−15.1487	−	20.1429i	−0.514774	−	0.684482i
$867$	−18.2186	−	7.62931i	−0.618737	−	0.259105i
$868$	25.7070	−	21.1598i	0.872552	−	0.718210i
$869$	7.53046	−	4.34771i	0.255453	−	0.147486i
$870$	0.00212645	+	0.00838930i	7.20933e−5	+	0.000284424i
$871$	10.7481			0.364187
$872$	−17.8776	+	21.9485i	−0.605410	+	0.743270i
$873$	3.29479	−	11.9256i	0.111512	−	0.403619i
$874$	1.18915	+	9.76164i	0.0402235	+	0.330192i
$875$	−6.47083	−	0.501611i	−0.218754	−	0.0169576i
$876$	−2.23029	−	5.75936i	−0.0753547	−	0.194591i
$877$			49.4357i			1.66932i	0.550763	+	0.834662i	$0.314337\pi$
$877$			49.4357i			1.66932i	−0.550763	+	0.834662i	$0.685663\pi$
$878$	−5.02995	+	11.8185i	−0.169752	+	0.398856i
$879$	−0.878304	−	1.15387i	−0.0296245	−	0.0389189i
$880$	−1.56113	−	0.983790i	−0.0526258	−	0.0331635i
$881$	−18.6267			−0.627550			−0.313775	−	0.949497i	$-0.601594\pi$
$881$	−18.6267			−0.627550			−0.313775	+	0.949497i	$0.601594\pi$
$882$	20.1158	+	21.8484i	0.677336	+	0.735674i
$883$		−	7.79292i		−	0.262253i	−0.991366	−	0.131126i	$-0.958141\pi$
$883$		−	7.79292i		−	0.262253i	0.991366	−	0.131126i	$-0.0418594\pi$
$884$	−41.9371	+	40.3442i	−1.41050	+	1.35692i
$885$	4.89015	+	2.04782i	0.164381	+	0.0688367i
$886$	41.8475	+	17.8103i	1.40590	+	0.598347i
$887$	−27.9829			−0.939573			−0.469786	−	0.882780i	$-0.655669\pi$
$887$	−27.9829			−0.939573			−0.469786	+	0.882780i	$0.655669\pi$
$888$	1.71357	−	52.0441i	0.0575038	−	1.74649i
$889$	1.28021	−	16.5149i	0.0429370	−	0.553891i
$890$	0.566714	+	4.65212i	0.0189963	+	0.155939i
$891$	−8.18395	−	14.6969i	−0.274173	−	0.492364i
$892$	−5.57766	−	5.79788i	−0.186754	−	0.194128i
$893$		−	54.6821i		−	1.82987i
$894$	26.4205	+	27.1468i	0.883635	+	0.907924i
$895$	−2.35597	−	4.08066i	−0.0787514	−	0.136401i
$896$	−8.15747	+	28.8003i	−0.272522	+	0.962150i
$897$	−6.71511	−	8.82193i	−0.224211	−	0.294556i
$898$	26.8056	+	35.6428i	0.894516	+	1.18942i
$899$	0.0780085	−	0.0450382i	0.00260173	−	0.00150211i
$900$	0.803381	−	29.6236i	0.0267794	−	0.987454i
$901$	−31.0051	−	17.9008i	−1.03293	−	0.596362i
$902$	−25.1814	−	10.7172i	−0.838448	−	0.356842i
$903$	−43.3399	−	22.2305i	−1.44226	−	0.739785i
$904$	3.33065	+	2.71289i	0.110776	+	0.0902293i
$905$	2.72390			0.0905454
$906$	−9.93576	+	9.66996i	−0.330093	+	0.321263i
$907$		−	34.0348i		−	1.13011i	−0.825054	−	0.565053i	$-0.808856\pi$
$907$		−	34.0348i		−	1.13011i	0.825054	−	0.565053i	$-0.191144\pi$
$908$	38.2346	+	11.0424i	1.26886	+	0.366455i
$909$	−8.80535	−	33.9119i	−0.292055	−	1.12479i
$910$	−4.47260	−	2.32702i	−0.148265	−	0.0771399i
$911$	−16.3116	+	28.2525i	−0.540427	+	0.936047i	0.458452	+	0.888719i	$0.348404\pi$
$911$	−16.3116	+	28.2525i	−0.540427	+	0.936047i	−0.998879	+	0.0473280i	$0.984929\pi$
$912$	−33.6339	+	23.6029i	−1.11373	+	0.781571i
$913$	−4.19873	+	7.27241i	−0.138958	+	0.240682i
$914$	17.2285	−	40.4805i	0.569867	−	1.33898i
$915$	−0.948605	+	0.722063i	−0.0313599	+	0.0238707i
$916$	27.1285	+	7.83490i	0.896351	+	0.258872i
$917$	35.4749	+	2.74997i	1.17148	+	0.0908120i
$918$	39.1548	+	0.834611i	1.29230	+	0.0275463i
$919$	20.2462	−	35.0675i	0.667861	−	1.15677i	−0.310640	−	0.950528i	$-0.600543\pi$
$919$	20.2462	−	35.0675i	0.667861	−	1.15677i	0.978501	−	0.206242i	$-0.0661234\pi$
$920$	0.291134	+	0.764953i	0.00959841	+	0.0252197i
$921$	−4.19870	+	0.536212i	−0.138352	+	0.0176688i
$922$	3.79509	+	31.1536i	0.124985	+	1.02599i
$923$	41.5501	−	23.9890i	1.36764	−	0.789606i
$924$	−16.6736	−	3.93037i	−0.548520	−	0.129300i
$925$	45.4651	+	26.2493i	1.49488	+	0.863072i
$926$	20.7006	−	48.6389i	0.680265	−	1.59837i
$927$	−34.1345	+	8.86314i	−1.12112	+	0.291104i
$928$	−0.0345728	+	0.0732296i	−0.00113491	+	0.00240388i
$929$	5.60555	+	9.70909i	0.183912	+	0.318545i	0.943209	−	0.332199i	$-0.107790\pi$
$929$	5.60555	+	9.70909i	0.183912	+	0.318545i	−0.759297	+	0.650744i	$0.774457\pi$
$930$	3.68745	−	0.934661i	0.120916	−	0.0306487i
$931$	32.3247	+	26.0504i	1.05940	+	0.853767i
$932$	−2.98210	−	3.09984i	−0.0976820	−	0.101539i
$933$	13.9963	+	5.86116i	0.458219	+	0.191886i
$934$	3.65411	+	29.9963i	0.119566	+	0.981510i
$935$	1.22929	+	2.12919i	0.0402020	+	0.0696320i
$936$	19.2902	−	42.1179i	0.630519	−	1.37667i
$937$	−17.4506			−0.570085			−0.285042	−	0.958515i	$-0.592008\pi$
$937$	−17.4506			−0.570085			−0.285042	+	0.958515i	$0.592008\pi$
$938$	−7.35917	+	0.322959i	−0.240285	+	0.0105450i
$939$	−11.9046	+	9.06160i	−0.388492	+	0.295714i
$940$	−1.09264	−	4.41816i	−0.0356381	−	0.144105i
$941$	−45.8709	−	26.4836i	−1.49535	−	0.863341i	−0.495364	−	0.868686i	$-0.664965\pi$
$941$	−45.8709	−	26.4836i	−1.49535	−	0.863341i	−0.999986	+	0.00534495i	$0.998299\pi$
$942$	21.9432	−	5.56196i	0.714947	−	0.181218i
$943$	6.06946	+	10.5126i	0.197649	+	0.342338i
$944$	23.1221	+	43.8886i	0.752559	+	1.42845i
$945$	1.01472	+	3.23782i	0.0330088	+	0.105326i
$946$	27.8898	−	3.39749i	0.906776	−	0.110462i
$947$	14.1857	−	8.19013i	0.460974	−	0.266143i	−0.251480	−	0.967863i	$-0.580917\pi$
$947$	14.1857	−	8.19013i	0.460974	−	0.266143i	0.712454	+	0.701719i	$0.247584\pi$
$948$	−5.81964	−	15.0283i	−0.189013	−	0.488095i
$949$	8.42960	+	4.86683i	0.273636	+	0.157984i
$950$	−5.00939	−	41.1217i	−0.162526	−	1.33417i
$951$	14.8397	+	19.4956i	0.481212	+	0.632189i
$952$	27.5017	−	28.8835i	0.891337	−	0.936118i
$953$	13.8276			0.447919			0.223960	−	0.974598i	$-0.428102\pi$
$953$	13.8276			0.447919			0.223960	+	0.974598i	$0.428102\pi$
$954$	28.1875	+	4.21211i	0.912605	+	0.136372i
$955$	−0.565915	+	0.326731i	−0.0183126	+	0.0105728i
$956$	40.6138	−	10.0441i	1.31354	−	0.324849i
$957$	−0.0427476	−	0.0179012i	−0.00138183	−	0.000578663i
$958$	1.98636	+	2.64122i	0.0641765	+	0.0853340i
$959$	−0.157659	+	2.03381i	−0.00509106	+	0.0656752i
$960$	−2.24590	+	2.57911i	−0.0724860	+	0.0832405i
$961$	−4.29618	−	7.44120i	−0.138586	−	0.240039i
$962$	49.3266	+	65.5884i	1.59035	+	2.11466i
$963$	−5.93163	−	1.63879i	−0.191144	−	0.0528092i
$964$	2.18763	−	7.57473i	0.0704590	−	0.243966i
$965$	0.288788	+	0.166732i	0.00929642	+	0.00536729i
$966$	4.86286	+	5.83853i	0.156460	+	0.187851i
$967$	6.91834	+	11.9829i	0.222479	+	0.385345i	0.955560	−	0.294796i	$-0.0952518\pi$
$967$	6.91834	+	11.9829i	0.222479	+	0.385345i	−0.733081	+	0.680141i	$0.761919\pi$
$968$	−19.8430	+	7.55207i	−0.637778	+	0.242733i
$969$	54.3054	−	6.93530i	1.74454	−	0.222794i
$970$	−0.174071	−	1.42894i	−0.00558907	−	0.0458803i
$971$	−30.5544	−	17.6406i	−0.980538	−	0.566114i	−0.0781058	−	0.996945i	$-0.524887\pi$
$971$	−30.5544	−	17.6406i	−0.980538	−	0.566114i	−0.902433	+	0.430831i	$0.858221\pi$
$972$	−29.2443	+	10.8062i	−0.938010	+	0.346608i
$973$	−0.0356817	−	0.0745825i	−0.00114390	−	0.00239100i
$974$	−3.75550	+	8.82403i	−0.120334	+	0.282740i
$975$	28.2880	+	37.1631i	0.905940	+	1.19017i
$976$	−11.1465	−	0.431743i	−0.356792	−	0.0138198i
$977$	6.53232	−	11.3143i	0.208988	−	0.361977i	−0.742408	−	0.669948i	$-0.766317\pi$
$977$	6.53232	−	11.3143i	0.208988	−	0.361977i	0.951396	+	0.307971i	$0.0996498\pi$
$978$	−5.70573	+	1.44624i	−0.182449	+	0.0462456i
$979$	−21.7335	−	12.5479i	−0.694607	−	0.401032i
$980$	3.13228	+	1.45890i	0.100057	+	0.0466028i
$981$	−21.3950	+	21.0657i	−0.683091	+	0.672576i
$982$	−9.94150	−	4.23109i	−0.317246	−	0.135019i
$983$	−0.732479			−0.0233625			−0.0116812	−	0.999932i	$-0.503718\pi$
$983$	−0.732479			−0.0233625			−0.0116812	+	0.999932i	$0.503718\pi$
$984$	−26.7923	+	43.0673i	−0.854106	+	1.37294i
$985$	3.81687			0.121616
$986$	0.0862317	−	0.0648517i	0.00274618	−	0.00206530i
$987$	−22.9162	−	35.4975i	−0.729430	−	1.12990i
$988$	17.9680	−	62.2148i	0.571640	−	1.97932i
$989$	−10.7926	−	6.23111i	−0.343185	−	0.198138i
$990$	−1.53174	−	1.21835i	−0.0486818	−	0.0387218i
$991$	−9.51755	−	16.4849i	−0.302335	−	0.523659i	0.674329	−	0.738431i	$-0.264433\pi$
$991$	−9.51755	−	16.4849i	−0.302335	−	0.523659i	−0.976664	+	0.214771i	$0.931099\pi$
$992$	32.1874	+	15.1962i	1.02195	+	0.482479i
$993$	−11.9135	−	15.6512i	−0.378062	−	0.496677i
$994$	−27.7282	+	17.6735i	−0.879485	+	0.560570i
$995$	3.82726	−	2.20967i	0.121332	−	0.0700512i
$996$	12.1239	+	9.75875i	0.384160	+	0.309218i
$997$			19.7056i			0.624081i	0.950069	+	0.312041i	$0.101012\pi$
$997$			19.7056i			0.624081i	−0.950069	+	0.312041i	$0.898988\pi$
$998$	8.25668	−	6.20954i	0.261361	−	0.196560i
$999$	7.84565	−	54.6710i	0.248226	−	1.72971i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.w.a.205.65	yes	184
7.4	even	3		504.2.cq.a.277.4	yes	184
8.5	even	2	inner	504.2.w.a.205.58	✓	184
9.4	even	3		504.2.cq.a.373.4	yes	184
56.53	even	6		504.2.cq.a.277.3	yes	184
63.4	even	3	inner	504.2.w.a.445.58	yes	184
72.13	even	6		504.2.cq.a.373.3	yes	184
504.445	even	6	inner	504.2.w.a.445.65	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.58	✓	184	8.5	even	2	inner
504.2.w.a.205.65	yes	184	1.1	even	1	trivial
504.2.w.a.445.58	yes	184	63.4	even	3	inner
504.2.w.a.445.65	yes	184	504.445	even	6	inner
504.2.cq.a.277.3	yes	184	56.53	even	6
504.2.cq.a.277.4	yes	184	7.4	even	3
504.2.cq.a.373.3	yes	184	72.13	even	6
504.2.cq.a.373.4	yes	184	9.4	even	3

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.w (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.850020 + 1.13025i) q^{2} +(0.219417 + 1.71810i) q^{3} +(-0.554934 + 1.92147i) q^{4} +0.246812i q^{5} +(-1.75537 + 1.70841i) q^{6} +(-0.204482 + 2.63784i) q^{7} +(-2.64345 + 1.00607i) q^{8} +(-2.90371 + 0.753959i) q^{9} +O(q^{10})\)	\(q+(0.850020 + 1.13025i) q^{2} +(0.219417 + 1.71810i) q^{3} +(-0.554934 + 1.92147i) q^{4} +0.246812i q^{5} +(-1.75537 + 1.70841i) q^{6} +(-0.204482 + 2.63784i) q^{7} +(-2.64345 + 1.00607i) q^{8} +(-2.90371 + 0.753959i) q^{9} +(-0.278959 + 0.209795i) q^{10} -1.86910i q^{11} +(-3.42303 - 0.531827i) q^{12} +(4.72805 - 2.72974i) q^{13} +(-3.15523 + 2.01110i) q^{14} +(-0.424046 + 0.0541547i) q^{15} +(-3.38410 - 2.13258i) q^{16} +(2.66475 + 4.61548i) q^{17} +(-3.32037 - 2.64104i) q^{18} +(-5.13617 - 2.96537i) q^{19} +(-0.474242 - 0.136964i) q^{20} +(-4.57693 + 0.227466i) q^{21} +(2.11255 - 1.58877i) q^{22} -1.17246 q^{23} +(-2.30855 - 4.32095i) q^{24} +4.93908 q^{25} +(7.10422 + 3.02355i) q^{26} +(-1.93250 - 4.82343i) q^{27} +(-4.95505 - 1.85673i) q^{28} +(-0.0123976 - 0.00715774i) q^{29} +(-0.421656 - 0.433246i) q^{30} +(-3.14612 + 5.44924i) q^{31} +(-0.466202 - 5.63761i) q^{32} +(3.21129 - 0.410111i) q^{33} +(-2.95156 + 6.93509i) q^{34} +(-0.651049 - 0.0504685i) q^{35} +(0.162658 - 5.99779i) q^{36} +(9.20518 + 5.31461i) q^{37} +(-1.01423 - 8.32578i) q^{38} +(5.72737 + 7.52429i) q^{39} +(-0.248311 - 0.652434i) q^{40} +(-5.17669 - 8.96629i) q^{41} +(-4.14757 - 4.97972i) q^{42} +(9.20509 + 5.31456i) q^{43} +(3.59141 + 1.03722i) q^{44} +(-0.186086 - 0.716670i) q^{45} +(-0.996614 - 1.32517i) q^{46} +(4.61006 + 7.98486i) q^{47} +(2.92145 - 6.28213i) q^{48} +(-6.91637 - 1.07878i) q^{49} +(4.19832 + 5.58240i) q^{50} +(-7.34515 + 5.59101i) q^{51} +(2.62136 + 10.5996i) q^{52} +(-5.81764 + 3.35882i) q^{53} +(3.80902 - 6.28421i) q^{54} +0.461315 q^{55} +(-2.11332 - 7.17871i) q^{56} +(3.96783 - 9.47509i) q^{57} +(-0.00244813 - 0.0200966i) q^{58} +(-10.7402 - 6.20086i) q^{59} +(0.131261 - 0.844845i) q^{60} +(2.41510 - 1.39436i) q^{61} +(-8.83328 + 1.07606i) q^{62} +(-1.39506 - 7.81369i) q^{63} +(5.97563 - 5.31900i) q^{64} +(0.673732 + 1.16694i) q^{65} +(3.19319 + 3.28096i) q^{66} +(1.70496 + 0.984357i) q^{67} +(-10.3473 + 2.55895i) q^{68} +(-0.257257 - 2.01440i) q^{69} +(-0.496363 - 0.778748i) q^{70} +8.78800 q^{71} +(6.91727 - 4.91440i) q^{72} +(0.891446 + 1.54403i) q^{73} +(1.81774 + 14.9217i) q^{74} +(1.08372 + 8.48582i) q^{75} +(8.54810 - 8.22342i) q^{76} +(4.93037 + 0.382196i) q^{77} +(-3.63596 + 12.8692i) q^{78} +(2.32610 + 4.02893i) q^{79} +(0.526345 - 0.835235i) q^{80} +(7.86309 - 4.37856i) q^{81} +(5.73387 - 13.4725i) q^{82} +(-3.89087 - 2.24639i) q^{83} +(2.10282 - 8.92066i) q^{84} +(-1.13916 + 0.657692i) q^{85} +(1.81772 + 14.9215i) q^{86} +(0.00957745 - 0.0228707i) q^{87} +(1.88045 + 4.94086i) q^{88} +(6.71334 - 11.6278i) q^{89} +(0.651841 - 0.819508i) q^{90} +(6.23381 + 13.0300i) q^{91} +(0.650637 - 2.25285i) q^{92} +(-10.0526 - 4.20969i) q^{93} +(-5.10625 + 11.9978i) q^{94} +(0.731888 - 1.26767i) q^{95} +(9.58367 - 2.03797i) q^{96} +(-2.06206 + 3.57159i) q^{97} +(-4.65976 - 8.73422i) q^{98} +(1.40922 + 5.42732i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

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