LMFDB - Embedded newform 136.2.s.c.107.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [136,2,Mod(3,136)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(136, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 8, 1]))

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

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

chi := DirichletCharacter("136.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 136 = 2^{3} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	136.s (of order $16$, 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:	$1.08596546749$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.6
Character	$\chi$	$=$	136.107
Dual form			136.2.s.c.75.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.714407 + 1.22050i) q^{2} +(0.921778 + 1.37954i) q^{3} +(-0.979245 - 1.74387i) q^{4} +(3.91277 + 0.778297i) q^{5} +(-2.34225 + 0.139479i) q^{6} +(-1.72342 + 0.342810i) q^{7} +(2.82797 + 0.0506620i) q^{8} +(0.0945986 - 0.228381i) q^{9} +O(q^{10})$	\(q+(-0.714407 + 1.22050i) q^{2} +(0.921778 + 1.37954i) q^{3} +(-0.979245 - 1.74387i) q^{4} +(3.91277 + 0.778297i) q^{5} +(-2.34225 + 0.139479i) q^{6} +(-1.72342 + 0.342810i) q^{7} +(2.82797 + 0.0506620i) q^{8} +(0.0945986 - 0.228381i) q^{9} +(-3.74522 + 4.21951i) q^{10} +(-2.25700 - 1.50808i) q^{11} +(1.50309 - 2.95837i) q^{12} +(-1.43844 + 1.43844i) q^{13} +(0.812824 - 2.34834i) q^{14} +(2.53301 + 6.11523i) q^{15} +(-2.08216 + 3.41535i) q^{16} +(-3.43525 + 2.28014i) q^{17} +(0.211158 + 0.278615i) q^{18} +(-2.12471 - 5.12951i) q^{19} +(-2.47431 - 7.58549i) q^{20} +(-2.06153 - 2.06153i) q^{21} +(3.45303 - 1.67729i) q^{22} +(-1.05741 - 0.706536i) q^{23} +(2.53687 + 3.94800i) q^{24} +(10.0846 + 4.17717i) q^{25} +(-0.727987 - 2.78325i) q^{26} +(5.28409 - 1.05107i) q^{27} +(2.28547 + 2.66973i) q^{28} +(1.64434 - 8.26664i) q^{29} +(-9.27324 - 1.27722i) q^{30} +(3.07326 + 4.59945i) q^{31} +(-2.68093 - 4.98123i) q^{32} -4.50373i q^{33} +(-0.328746 - 5.82168i) q^{34} -7.01015 q^{35} +(-0.490902 + 0.0586737i) q^{36} +(3.15531 - 2.10831i) q^{37} +(7.77849 + 1.07134i) q^{38} +(-3.31031 - 0.658462i) q^{39} +(11.0258 + 2.39923i) q^{40} +(-0.810929 - 4.07682i) q^{41} +(3.98887 - 1.04333i) q^{42} +(-2.93119 + 7.07653i) q^{43} +(-0.419735 + 5.41269i) q^{44} +(0.547891 - 0.819977i) q^{45} +(1.61775 - 0.785810i) q^{46} +(2.10492 - 2.10492i) q^{47} +(-6.63090 + 0.275781i) q^{48} +(-3.61450 + 1.49717i) q^{49} +(-12.3027 + 9.32405i) q^{50} +(-6.31208 - 2.63728i) q^{51} +(3.91704 + 1.09987i) q^{52} +(-5.83351 + 2.41632i) q^{53} +(-2.49216 + 7.20013i) q^{54} +(-7.65738 - 7.65738i) q^{55} +(-4.89116 + 0.882145i) q^{56} +(5.11785 - 7.65940i) q^{57} +(8.91471 + 7.91266i) q^{58} +(3.89198 + 1.61211i) q^{59} +(8.18372 - 10.4055i) q^{60} +(-0.411419 - 2.06835i) q^{61} +(-7.80919 + 0.465031i) q^{62} +(-0.0847419 + 0.426026i) q^{63} +(7.99487 + 0.286541i) q^{64} +(-6.74782 + 4.50875i) q^{65} +(5.49681 + 3.21750i) q^{66} -0.474710i q^{67} +(7.34022 + 3.75781i) q^{68} -2.11000i q^{69} +(5.00810 - 8.55589i) q^{70} +(-9.48983 + 6.34090i) q^{71} +(0.279093 - 0.641064i) q^{72} +(-1.48381 + 7.45963i) q^{73} +(0.319020 + 5.35726i) q^{74} +(3.53318 + 17.7625i) q^{75} +(-6.86458 + 8.72828i) q^{76} +(4.40675 + 1.82533i) q^{77} +(3.16856 - 3.56983i) q^{78} +(0.405234 - 0.606476i) q^{79} +(-10.8051 + 11.7429i) q^{80} +(5.79637 + 5.79637i) q^{81} +(5.55509 + 1.92277i) q^{82} +(14.3632 - 5.94945i) q^{83} +(-1.57629 + 5.61378i) q^{84} +(-15.2160 + 6.24801i) q^{85} +(-6.54285 - 8.63305i) q^{86} +(12.9199 - 5.35158i) q^{87} +(-6.30633 - 4.37915i) q^{88} +(-5.56406 + 5.56406i) q^{89} +(0.609365 + 1.25450i) q^{90} +(1.98593 - 2.97215i) q^{91} +(-0.196646 + 2.53585i) q^{92} +(-3.51226 + 8.47935i) q^{93} +(1.06529 + 4.07282i) q^{94} +(-4.32122 - 21.7242i) q^{95} +(4.40057 - 8.29003i) q^{96} +(-2.52059 - 0.501377i) q^{97} +(0.754920 - 5.48109i) q^{98} +(-0.557926 + 0.372794i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9}+O(q^{10}) $ 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9	$ 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9} - 8 q^{10} - 16 q^{11} + 24 q^{12} - 8 q^{14} - 16 q^{17} - 16 q^{18} - 16 q^{19} - 8 q^{20} - 8 q^{22} - 56 q^{24} - 16 q^{25} - 40 q^{26} + 32 q^{27} + 40 q^{28} - 72 q^{30} + 32 q^{32} - 72 q^{34} - 32 q^{35} + 56 q^{36} + 48 q^{38} + 56 q^{40} - 16 q^{41} - 56 q^{42} - 96 q^{43} + 24 q^{44} - 24 q^{46} + 16 q^{48} - 16 q^{49} - 16 q^{51} - 16 q^{52} - 24 q^{54} + 32 q^{56} + 32 q^{57} + 48 q^{58} - 16 q^{59} + 96 q^{60} + 48 q^{62} + 40 q^{64} + 64 q^{65} - 16 q^{66} + 80 q^{68} + 64 q^{70} + 96 q^{72} - 96 q^{73} + 40 q^{74} - 16 q^{75} + 48 q^{76} + 96 q^{78} + 8 q^{80} - 96 q^{81} + 32 q^{82} + 128 q^{83} + 64 q^{86} - 72 q^{88} - 16 q^{89} + 152 q^{90} - 16 q^{91} - 120 q^{92} + 88 q^{94} - 160 q^{96} - 16 q^{97} + 128 q^{98} + 48 q^{99}+O(q^{100}) $ 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9 - 8 * q^10 - 16 * q^11 + 24 * q^12 - 8 * q^14 - 16 * q^17 - 16 * q^18 - 16 * q^19 - 8 * q^20 - 8 * q^22 - 56 * q^24 - 16 * q^25 - 40 * q^26 + 32 * q^27 + 40 * q^28 - 72 * q^30 + 32 * q^32 - 72 * q^34 - 32 * q^35 + 56 * q^36 + 48 * q^38 + 56 * q^40 - 16 * q^41 - 56 * q^42 - 96 * q^43 + 24 * q^44 - 24 * q^46 + 16 * q^48 - 16 * q^49 - 16 * q^51 - 16 * q^52 - 24 * q^54 + 32 * q^56 + 32 * q^57 + 48 * q^58 - 16 * q^59 + 96 * q^60 + 48 * q^62 + 40 * q^64 + 64 * q^65 - 16 * q^66 + 80 * q^68 + 64 * q^70 + 96 * q^72 - 96 * q^73 + 40 * q^74 - 16 * q^75 + 48 * q^76 + 96 * q^78 + 8 * q^80 - 96 * q^81 + 32 * q^82 + 128 * q^83 + 64 * q^86 - 72 * q^88 - 16 * q^89 + 152 * q^90 - 16 * q^91 - 120 * q^92 + 88 * q^94 - 160 * q^96 - 16 * q^97 + 128 * q^98 + 48 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/136\mathbb{Z}\right)^\times$.

$n$	$69$	$103$	$105$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	−0.714407	+	1.22050i	−0.505162	+	0.863025i
$2$	−0.714407	+	1.22050i	−0.505162	+	0.863025i
$3$	0.921778	+	1.37954i	0.532189	+	0.796477i	0.995990	−	0.0894623i	$-0.0285148\pi$
$3$	0.921778	+	1.37954i	0.532189	+	0.796477i	−0.463801	+	0.885939i	$0.653515\pi$
$4$	−0.979245	−	1.74387i	−0.489623	−	0.871934i
$5$	3.91277	+	0.778297i	1.74984	+	0.348065i	0.963085	−	0.269198i	$-0.0867585\pi$
$5$	3.91277	+	0.778297i	1.74984	+	0.348065i	0.786757	+	0.617263i	$0.211759\pi$
$6$	−2.34225	+	0.139479i	−0.956221	+	0.0569422i
$7$	−1.72342	+	0.342810i	−0.651392	+	0.129570i	−0.509715	−	0.860343i	$-0.670249\pi$
$7$	−1.72342	+	0.342810i	−0.651392	+	0.129570i	−0.141677	+	0.989913i	$0.545249\pi$
$8$	2.82797	+	0.0506620i	0.999840	+	0.0179117i
$9$	0.0945986	−	0.228381i	0.0315329	−	0.0761271i
$10$	−3.74522	+	4.21951i	−1.18434	+	1.33433i
$11$	−2.25700	−	1.50808i	−0.680511	−	0.454703i	0.166666	−	0.986013i	$-0.446700\pi$
$11$	−2.25700	−	1.50808i	−0.680511	−	0.454703i	−0.847177	+	0.531310i	$0.821700\pi$
$12$	1.50309	−	2.95837i	0.433904	−	0.854007i
$13$	−1.43844	+	1.43844i	−0.398952	+	0.398952i	−0.877863	−	0.478911i	$-0.841032\pi$
$13$	−1.43844	+	1.43844i	−0.398952	+	0.398952i	0.478911	+	0.877863i	$0.341032\pi$
$14$	0.812824	−	2.34834i	0.217236	−	0.627621i
$15$	2.53301	+	6.11523i	0.654021	+	1.57895i
$16$	−2.08216	+	3.41535i	−0.520539	+	0.853838i
$17$	−3.43525	+	2.28014i	−0.833171	+	0.553015i
$17$	−3.43525	+	2.28014i	−0.833171	+	0.553015i
$18$	0.211158	+	0.278615i	0.0497703	+	0.0656702i
$19$	−2.12471	−	5.12951i	−0.487443	−	1.17679i	−0.956002	−	0.293359i	$-0.905227\pi$
$19$	−2.12471	−	5.12951i	−0.487443	−	1.17679i	0.468559	−	0.883432i	$-0.344773\pi$
$20$	−2.47431	−	7.58549i	−0.553272	−	1.69617i
$21$	−2.06153	−	2.06153i	−0.449863	−	0.449863i
$22$	3.45303	−	1.67729i	0.736188	−	0.357599i
$23$	−1.05741	−	0.706536i	−0.220484	−	0.147323i	0.440423	−	0.897790i	$-0.354828\pi$
$23$	−1.05741	−	0.706536i	−0.220484	−	0.147323i	−0.660907	+	0.750467i	$0.729828\pi$
$24$	2.53687	+	3.94800i	0.517837	+	0.805882i
$25$	10.0846	+	4.17717i	2.01692	+	0.835435i
$26$	−0.727987	−	2.78325i	−0.142770	−	0.545841i
$27$	5.28409	−	1.05107i	1.01692	−	0.202279i
$28$	2.28547	+	2.66973i	0.431913	+	0.504531i
$29$	1.64434	−	8.26664i	0.305346	−	1.53508i	−0.457921	−	0.888993i	$-0.651406\pi$
$29$	1.64434	−	8.26664i	0.305346	−	1.53508i	0.763267	−	0.646083i	$-0.223594\pi$
$30$	−9.27324	−	1.27722i	−1.69305	−	0.233187i
$31$	3.07326	+	4.59945i	0.551973	+	0.826086i	0.997608	−	0.0691289i	$-0.0220220\pi$
$31$	3.07326	+	4.59945i	0.551973	+	0.826086i	−0.445635	+	0.895215i	$0.647022\pi$
$32$	−2.68093	−	4.98123i	−0.473926	−	0.880564i
$33$		−	4.50373i		−	0.783999i
$34$	−0.328746	−	5.82168i	−0.0563795	−	0.998409i
$35$	−7.01015			−1.18493
$36$	−0.490902	+	0.0586737i	−0.0818171	+	0.00977896i
$37$	3.15531	−	2.10831i	0.518731	−	0.346605i	−0.268484	−	0.963284i	$-0.586523\pi$
$37$	3.15531	−	2.10831i	0.518731	−	0.346605i	0.787214	+	0.616680i	$0.211523\pi$
$38$	7.77849	+	1.07134i	1.26184	+	0.173795i
$39$	−3.31031	−	0.658462i	−0.530074	−	0.105438i
$40$	11.0258	+	2.39923i	1.74333	+	0.379352i
$41$	−0.810929	−	4.07682i	−0.126646	−	0.636692i	−0.991006	−	0.133818i	$-0.957276\pi$
$41$	−0.810929	−	4.07682i	−0.126646	−	0.636692i	0.864360	−	0.502874i	$-0.167724\pi$
$42$	3.98887	−	1.04333i	0.615496	−	0.160989i
$43$	−2.93119	+	7.07653i	−0.447003	+	1.07916i	0.526436	+	0.850215i	$0.323528\pi$
$43$	−2.93119	+	7.07653i	−0.447003	+	1.07916i	−0.973439	+	0.228946i	$0.926472\pi$
$44$	−0.419735	+	5.41269i	−0.0632775	+	0.815994i
$45$	0.547891	−	0.819977i	0.0816747	−	0.122235i
$46$	1.61775	−	0.785810i	0.238524	−	0.115861i
$47$	2.10492	−	2.10492i	0.307034	−	0.307034i	−0.536724	−	0.843758i	$-0.680338\pi$
$47$	2.10492	−	2.10492i	0.307034	−	0.307034i	0.843758	+	0.536724i	$0.180338\pi$
$48$	−6.63090	+	0.275781i	−0.957087	+	0.0398055i
$49$	−3.61450	+	1.49717i	−0.516357	+	0.213882i
$50$	−12.3027	+	9.32405i	−1.73987	+	1.31862i
$51$	−6.31208	−	2.63728i	−0.883868	−	0.369293i
$52$	3.91704	+	1.09987i	0.543196	+	0.152524i
$53$	−5.83351	+	2.41632i	−0.801295	+	0.331907i	−0.745475	−	0.666534i	$-0.767777\pi$
$53$	−5.83351	+	2.41632i	−0.801295	+	0.331907i	−0.0558197	+	0.998441i	$0.517777\pi$
$54$	−2.49216	+	7.20013i	−0.339140	+	0.979814i
$55$	−7.65738	−	7.65738i	−1.03252	−	1.03252i
$56$	−4.89116	+	0.882145i	−0.653608	+	0.117882i
$57$	5.11785	−	7.65940i	0.677875	−	1.01451i
$58$	8.91471	+	7.91266i	1.17056	+	1.03898i
$59$	3.89198	+	1.61211i	0.506693	+	0.209879i	0.621360	−	0.783525i	$-0.286580\pi$
$59$	3.89198	+	1.61211i	0.506693	+	0.209879i	−0.114668	+	0.993404i	$0.536580\pi$
$60$	8.18372	−	10.4055i	1.05651	−	1.34335i
$61$	−0.411419	−	2.06835i	−0.0526769	−	0.264824i	0.945468	−	0.325716i	$-0.105605\pi$
$61$	−0.411419	−	2.06835i	−0.0526769	−	0.264824i	−0.998144	+	0.0608920i	$0.980605\pi$
$62$	−7.80919	+	0.465031i	−0.991768	+	0.0590590i
$63$	−0.0847419	+	0.426026i	−0.0106765	+	0.0536743i
$64$	7.99487	+	0.286541i	0.999358	+	0.0358177i
$65$	−6.74782	+	4.50875i	−0.836964	+	0.559242i
$66$	5.49681	+	3.21750i	0.676611	+	0.396047i
$67$		−	0.474710i		−	0.0579951i	−0.999579	−	0.0289975i	$-0.990769\pi$
$67$		−	0.474710i		−	0.0579951i	0.999579	−	0.0289975i	$-0.00923149\pi$
$68$	7.34022	+	3.75781i	0.890133	+	0.455702i
$69$		−	2.11000i		−	0.254014i
$70$	5.00810	−	8.55589i	0.598582	−	1.02262i
$71$	−9.48983	+	6.34090i	−1.12624	+	0.752526i	−0.971877	−	0.235489i	$-0.924331\pi$
$71$	−9.48983	+	6.34090i	−1.12624	+	0.752526i	−0.154358	+	0.988015i	$0.549331\pi$
$72$	0.279093	−	0.641064i	0.0328914	−	0.0755501i
$73$	−1.48381	+	7.45963i	−0.173667	+	0.873084i	0.791444	+	0.611242i	$0.209330\pi$
$73$	−1.48381	+	7.45963i	−0.173667	+	0.873084i	−0.965111	+	0.261842i	$0.915670\pi$
$74$	0.319020	+	5.35726i	0.0370854	+	0.622769i
$75$	3.53318	+	17.7625i	0.407977	+	2.05104i
$76$	−6.86458	+	8.72828i	−0.787422	+	1.00120i
$77$	4.40675	+	1.82533i	0.502195	+	0.208016i
$78$	3.16856	−	3.56983i	0.358769	−	0.404203i
$79$	0.405234	−	0.606476i	0.0455924	−	0.0682339i	−0.807973	−	0.589219i	$-0.799435\pi$
$79$	0.405234	−	0.606476i	0.0455924	−	0.0682339i	0.853566	+	0.520985i	$0.174435\pi$
$80$	−10.8051	+	11.7429i	−1.20805	+	1.31290i
$81$	5.79637	+	5.79637i	0.644041	+	0.644041i
$82$	5.55509	+	1.92277i	0.613457	+	0.212334i
$83$	14.3632	−	5.94945i	1.57657	−	0.653037i	0.588705	−	0.808348i	$-0.299638\pi$
$83$	14.3632	−	5.94945i	1.57657	−	0.653037i	0.987866	+	0.155311i	$0.0496379\pi$
$84$	−1.57629	+	5.61378i	−0.171988	+	0.612514i
$85$	−15.2160	+	6.24801i	−1.65040	+	0.677692i
$86$	−6.54285	−	8.63305i	−0.705533	−	0.930925i
$87$	12.9199	−	5.35158i	1.38515	−	0.573750i
$88$	−6.30633	−	4.37915i	−0.672257	−	0.466819i
$89$	−5.56406	+	5.56406i	−0.589789	+	0.589789i	−0.937574	−	0.347785i	$-0.886934\pi$
$89$	−5.56406	+	5.56406i	−0.589789	+	0.589789i	0.347785	+	0.937574i	$0.386934\pi$
$90$	0.609365	+	1.25450i	0.0642327	+	0.132236i
$91$	1.98593	−	2.97215i	0.208182	−	0.311566i
$92$	−0.196646	+	2.53585i	−0.0205018	+	0.264380i
$93$	−3.51226	+	8.47935i	−0.364205	+	0.879268i
$94$	1.06529	+	4.07282i	0.109876	+	0.420080i
$95$	−4.32122	−	21.7242i	−0.443348	−	2.22886i
$96$	4.40057	−	8.29003i	0.449131	−	0.846098i
$97$	−2.52059	−	0.501377i	−0.255927	−	0.0509071i	0.0654591	−	0.997855i	$-0.479149\pi$
$97$	−2.52059	−	0.501377i	−0.255927	−	0.0509071i	−0.321386	+	0.946948i	$0.604149\pi$
$98$	0.754920	−	5.48109i	0.0762584	−	0.553673i
$99$	−0.557926	+	0.372794i	−0.0560737	+	0.0374672i
$100$	−2.59084	−	21.6767i	−0.259084	−	2.16767i
$101$	12.5095			1.24474			0.622370	−	0.782724i	$-0.286170\pi$
$101$	12.5095			1.24474			0.622370	+	0.782724i	$0.286170\pi$
$102$	7.72820	−	5.81981i	0.765206	−	0.576247i
$103$			0.883647i			0.0870683i	0.999052	+	0.0435341i	$0.0138617\pi$
$103$			0.883647i			0.0870683i	−0.999052	+	0.0435341i	$0.986138\pi$
$104$	−4.14075	+	3.99500i	−0.406034	+	0.391742i
$105$	−6.46180	−	9.67077i	−0.630607	−	0.943771i
$106$	1.21838	−	8.84604i	0.118340	−	0.859204i
$107$	3.40001	−	17.0930i	0.328691	−	1.65244i	−0.364142	−	0.931343i	$-0.618638\pi$
$107$	3.40001	−	17.0930i	0.328691	−	1.65244i	0.692833	−	0.721098i	$-0.256362\pi$
$108$	−7.00735	−	8.18550i	−0.674283	−	0.787650i
$109$	−16.2497	+	3.23227i	−1.55644	+	0.309596i	−0.896955	−	0.442121i	$-0.854226\pi$
$109$	−16.2497	+	3.23227i	−1.55644	+	0.309596i	−0.659486	+	0.751716i	$0.729226\pi$
$110$	14.8163	−	3.87535i	1.41268	−	0.369500i
$111$	5.81700	+	2.40948i	0.552125	+	0.228698i
$112$	2.41762	−	6.59987i	0.228443	−	0.623629i
$113$	−3.17941	−	2.12441i	−0.299093	−	0.199848i	0.396964	−	0.917834i	$-0.370064\pi$
$113$	−3.17941	−	2.12441i	−0.299093	−	0.199848i	−0.696057	+	0.717986i	$0.745064\pi$
$114$	5.69208	+	11.7183i	0.533112	+	1.09752i
$115$	−3.58748	−	3.58748i	−0.334535	−	0.334535i
$116$	−16.0261	+	5.22756i	−1.48799	+	0.485367i
$117$	0.192439	+	0.464588i	0.0177910	+	0.0429512i
$118$	−4.74804	+	3.59846i	−0.437093	+	0.331265i
$119$	5.13873	−	5.10728i	0.471067	−	0.468184i
$120$	6.85348	+	17.4220i	0.625634	+	1.59041i
$121$	−1.38977	−	3.35521i	−0.126343	−	0.305019i
$122$	2.81834	+	0.975502i	0.255160	+	0.0883178i
$123$	4.87663	−	4.87663i	0.439711	−	0.439711i
$124$	5.01137	−	9.86335i	0.450034	−	0.885755i
$125$	19.6221	+	13.1111i	1.75506	+	1.17269i
$126$	−0.459426	−	0.407784i	−0.0409289	−	0.0363283i
$127$	−4.56457	+	11.0198i	−0.405040	+	0.977852i	0.581384	+	0.813630i	$0.302512\pi$
$127$	−4.56457	+	11.0198i	−0.405040	+	0.977852i	−0.986423	+	0.164223i	$0.947488\pi$
$128$	−6.06131	+	9.55304i	−0.535749	+	0.844377i
$129$	−12.4643	+	2.47929i	−1.09742	+	0.218290i
$130$	−0.682244	−	11.4568i	−0.0598367	−	1.00483i
$131$	−8.64991	−	1.72057i	−0.755746	−	0.150327i	−0.197843	−	0.980234i	$-0.563394\pi$
$131$	−8.64991	−	1.72057i	−0.755746	−	0.150327i	−0.557903	+	0.829906i	$0.688394\pi$
$132$	−7.85392	+	4.41026i	−0.683596	+	0.383864i
$133$	5.42022	+	8.11194i	0.469993	+	0.703394i
$134$	0.579384	+	0.339136i	0.0500512	+	0.0292969i
$135$	21.4934			1.84986
$136$	−9.83032	+	6.27414i	−0.842943	+	0.538003i
$137$	2.20919			0.188744			0.0943718	−	0.995537i	$-0.469916\pi$
$137$	2.20919			0.188744			0.0943718	+	0.995537i	$0.469916\pi$
$138$	2.57526	+	1.50740i	0.219221	+	0.128318i
$139$	10.7069	+	16.0240i	0.908147	+	1.35914i	0.933164	+	0.359452i	$0.117036\pi$
$139$	10.7069	+	16.0240i	0.908147	+	1.35914i	−0.0250163	+	0.999687i	$0.507964\pi$
$140$	6.86466	+	12.2248i	0.580169	+	1.03318i
$141$	4.84408	+	0.963548i	0.407946	+	0.0811454i
$142$	−0.959476	−	16.1123i	−0.0805174	−	1.35212i
$143$	5.41585	−	1.07728i	0.452896	−	0.0900866i
$144$	0.583033	+	0.798613i	0.0485861	+	0.0665511i
$145$	12.8678	−	31.0656i	1.06861	−	2.57986i
$146$	−8.04444	−	7.14021i	−0.665763	−	0.590928i
$147$	−5.39717	−	3.60627i	−0.445151	−	0.297441i
$148$	−6.76645	−	3.43790i	−0.556199	−	0.282593i
$149$	0.306372	−	0.306372i	0.0250990	−	0.0250990i	−0.694446	−	0.719545i	$-0.744350\pi$
$149$	0.306372	−	0.306372i	0.0250990	−	0.0250990i	0.719545	+	0.694446i	$0.244350\pi$
$150$	−24.2033	−	8.37740i	−1.97619	−	0.684012i
$151$	7.80521	+	18.8434i	0.635179	+	1.53346i	0.833032	+	0.553225i	$0.186603\pi$
$151$	7.80521	+	18.8434i	0.635179	+	1.53346i	−0.197853	+	0.980232i	$0.563397\pi$
$152$	−5.74876	−	14.6138i	−0.466286	−	1.18533i
$153$	0.195771	+	1.00025i	0.0158272	+	0.0808651i
$154$	−5.37603	+	4.07441i	−0.433213	+	0.328325i
$155$	8.44519	+	20.3885i	0.678334	+	1.63764i
$156$	2.09334	+	6.41754i	0.167601	+	0.513815i
$157$	−1.99680	−	1.99680i	−0.159362	−	0.159362i	0.622922	−	0.782284i	$-0.285945\pi$
$157$	−1.99680	−	1.99680i	−0.159362	−	0.159362i	−0.782284	+	0.622922i	$0.785945\pi$
$158$	0.450702	+	0.927859i	0.0358559	+	0.0738165i
$159$	−8.71061	−	5.82024i	−0.690796	−	0.461575i
$160$	−6.61298	−	21.5769i	−0.522802	−	1.70581i
$161$	2.06456	+	0.855170i	0.162710	+	0.0673968i
$162$	−11.2154	+	2.93351i	−0.881168	+	0.230478i
$163$	−11.6113	+	2.30962i	−0.909464	+	0.180904i	−0.627587	−	0.778547i	$-0.715957\pi$
$163$	−11.6113	+	2.30962i	−0.909464	+	0.180904i	−0.281878	+	0.959450i	$0.590957\pi$
$164$	−6.31533	+	5.40636i	−0.493145	+	0.422166i
$165$	3.50524	−	17.6221i	0.272883	−	1.37187i
$166$	−2.99989	+	21.7807i	−0.232837	+	1.69051i
$167$	−4.20835	−	6.29824i	−0.325652	−	0.487373i	0.632132	−	0.774860i	$-0.282180\pi$
$167$	−4.20835	−	6.29824i	−0.325652	−	0.487373i	−0.957784	+	0.287488i	$0.907180\pi$
$168$	−5.72551	−	5.93440i	−0.441733	−	0.457849i
$169$			8.86177i			0.681675i
$170$	3.24469	−	23.0347i	0.248856	−	1.76668i
$171$	−1.37248			−0.104956
$172$	15.2109	−	1.81804i	1.15982	−	0.138624i
$173$	−9.61075	+	6.42170i	−0.730692	+	0.488233i	−0.864410	−	0.502787i	$-0.832308\pi$
$173$	−9.61075	+	6.42170i	−0.730692	+	0.488233i	0.133719	+	0.991019i	$0.457308\pi$
$174$	−2.69843	+	19.5919i	−0.204567	+	1.48526i
$175$	−18.8120	−	3.74193i	−1.42205	−	0.282864i
$176$	9.85005	−	4.56839i	0.742475	−	0.344355i
$177$	1.36357	+	6.85514i	0.102492	+	0.515264i
$178$	−2.81594	−	10.7659i	−0.211064	−	0.806942i
$179$	3.08040	−	7.43674i	0.230240	−	0.555848i	−0.765966	−	0.642881i	$-0.777739\pi$
$179$	3.08040	−	7.43674i	0.230240	−	0.555848i	0.996205	+	0.0870337i	$0.0277388\pi$
$180$	−1.96645	−	0.152491i	−0.146571	−	0.0113660i
$181$	−0.209700	+	0.313838i	−0.0155869	+	0.0233274i	−0.839181	−	0.543852i	$-0.816965\pi$
$181$	−0.209700	+	0.313838i	−0.0155869	+	0.0233274i	0.823594	+	0.567179i	$0.191965\pi$
$182$	2.20875	+	4.54715i	0.163724	+	0.337058i
$183$	2.47412	−	2.47412i	0.182893	−	0.182893i
$184$	−2.95452	−	2.05163i	−0.217810	−	0.151249i
$185$	13.9869	−	5.79356i	1.02834	−	0.425951i
$186$	−7.83987	−	10.3444i	−0.574847	−	0.758490i
$187$	11.1920	+	0.0343542i	0.818440	+	0.00251223i
$188$	−5.73193	−	1.60947i	−0.418044	−	0.117383i
$189$	−8.74639	+	3.62287i	−0.636207	+	0.263525i
$190$	29.6016	+	10.2459i	2.14752	+	0.743315i
$191$	9.71409	+	9.71409i	0.702887	+	0.702887i	0.965029	−	0.262142i	$-0.0844290\pi$
$191$	9.71409	+	9.71409i	0.702887	+	0.702887i	−0.262142	+	0.965029i	$0.584429\pi$
$192$	6.97420	+	11.2934i	0.503319	+	0.815028i
$193$	−5.42709	+	8.12221i	−0.390650	+	0.584650i	−0.973713	−	0.227777i	$-0.926854\pi$
$193$	−5.42709	+	8.12221i	−0.390650	+	0.584650i	0.583063	+	0.812427i	$0.301854\pi$
$194$	2.41266	−	2.71820i	0.173219	−	0.195155i
$195$	−12.4400	−	5.15281i	−0.890846	−	0.369001i
$196$	6.15035	+	4.83711i	0.439311	+	0.345508i
$197$	3.67141	+	18.4574i	0.261577	+	1.31504i	0.858532	+	0.512761i	$0.171377\pi$
$197$	3.67141	+	18.4574i	0.261577	+	1.31504i	−0.596955	+	0.802275i	$0.703623\pi$
$198$	−0.0564096	−	0.947276i	−0.00400885	−	0.0673200i
$199$	1.48032	−	7.44206i	0.104937	−	0.527553i	−0.892180	−	0.451679i	$-0.850825\pi$
$199$	1.48032	−	7.44206i	0.104937	−	0.527553i	0.997117	−	0.0758743i	$-0.0241748\pi$
$200$	28.3073	+	12.3238i	2.00163	+	0.871427i
$201$	0.654881	−	0.437577i	0.0461917	−	0.0308643i
$202$	−8.93685	+	15.2678i	−0.628795	+	1.07424i
$203$			14.8106i			1.03950i
$204$	1.58201	+	13.5900i	0.110763	+	0.951489i
$205$		−	16.5828i		−	1.15819i
$206$	−1.07849	−	0.631283i	−0.0751421	−	0.0439836i
$207$	−0.261389	+	0.174654i	−0.0181678	+	0.0121393i
$208$	−1.91772	−	7.90785i	−0.132970	−	0.548310i
$209$	−2.94023	+	14.7816i	−0.203380	+	1.02246i
$210$	16.4195	−	0.977771i	1.13306	−	0.0674726i
$211$	−0.296827	−	1.49225i	−0.0204344	−	0.102731i	0.969222	−	0.246188i	$-0.0791780\pi$
$211$	−0.296827	−	1.49225i	−0.0204344	−	0.102731i	−0.989657	+	0.143457i	$0.954178\pi$
$212$	9.92618	+	7.80671i	0.681733	+	0.536167i
$213$	−17.4950	−	7.24668i	−1.19874	−	0.496534i
$214$	18.4330	+	16.3611i	1.26006	+	1.11842i
$215$	−16.9767	+	25.4075i	−1.15780	+	1.73277i
$216$	14.9965	−	2.70470i	1.02038	−	0.184031i
$217$	−6.87325	−	6.87325i	−0.466587	−	0.466587i
$218$	7.66393	−	22.1420i	0.519067	−	1.49964i
$219$	−11.6586	+	4.82915i	−0.787815	+	0.326324i
$220$	−5.85501	+	20.8519i	−0.394745	+	1.40584i
$221$	1.66156	−	8.22126i	0.111769	−	0.553022i
$222$	−7.09648	+	5.37831i	−0.476285	+	0.360968i
$223$	−5.90153	+	2.44449i	−0.395195	+	0.163695i	−0.571426	−	0.820654i	$-0.693610\pi$
$223$	−5.90153	+	2.44449i	−0.395195	+	0.163695i	0.176231	+	0.984349i	$0.443610\pi$
$224$	6.32799	+	7.66570i	0.422806	+	0.512186i
$225$	1.90798	−	1.90798i	0.127198	−	0.127198i
$226$	4.86424	−	2.36278i	0.323564	−	0.157169i
$227$	7.11025	−	10.6412i	0.471924	−	0.706284i	−0.516788	−	0.856113i	$-0.672872\pi$
$227$	7.11025	−	10.6412i	0.471924	−	0.706284i	0.988712	+	0.149829i	$0.0478724\pi$
$228$	−18.3686	−	1.42442i	−1.21649	−	0.0943347i
$229$	9.46723	−	22.8559i	0.625612	−	1.51036i	−0.219412	−	0.975632i	$-0.570414\pi$
$229$	9.46723	−	22.8559i	0.625612	−	1.51036i	0.845024	−	0.534729i	$-0.179586\pi$
$230$	6.94145	−	1.81560i	0.457706	−	0.119717i
$231$	1.54392	+	7.76183i	0.101583	+	0.510691i
$232$	5.06894	−	23.2945i	0.332792	−	1.52936i
$233$	−1.74882	−	0.347862i	−0.114569	−	0.0227892i	0.137473	−	0.990506i	$-0.456102\pi$
$233$	−1.74882	−	0.347862i	−0.114569	−	0.0227892i	−0.252042	+	0.967716i	$0.581102\pi$
$234$	−0.704510	−	0.0970333i	−0.0460552	−	0.00634327i
$235$	9.87431	−	6.59780i	0.644129	−	0.430393i
$236$	−0.999894	−	8.36575i	−0.0650875	−	0.544564i
$237$	1.21019			0.0786105
$238$	2.56230	+	9.92050i	0.166089	+	0.643051i
$239$		−	25.4829i		−	1.64835i	−0.566335	−	0.824175i	$-0.691639\pi$
$239$		−	25.4829i		−	1.64835i	0.566335	−	0.824175i	$-0.308361\pi$
$240$	−26.1598	−	4.08174i	−1.68861	−	0.263475i
$241$	10.4034	+	15.5698i	0.670141	+	1.00294i	0.998298	+	0.0583139i	$0.0185724\pi$
$241$	10.4034	+	15.5698i	0.670141	+	1.00294i	−0.328157	+	0.944623i	$0.606428\pi$
$242$	5.08789	+	0.700764i	0.327062	+	0.0450468i
$243$	0.499866	−	2.51300i	0.0320664	−	0.161209i
$244$	−3.20404	+	2.74288i	−0.205118	+	0.175595i
$245$	−15.3079	+	3.04493i	−0.977987	+	0.194534i
$246$	2.46803	+	9.43583i	0.157356	+	0.601606i
$247$	10.4348	+	4.32223i	0.663950	+	0.275017i
$248$	8.45807	+	13.1628i	0.537088	+	0.835840i
$249$	21.4472	+	14.3306i	1.35916	+	0.908163i
$250$	−30.0203	+	14.5822i	−1.89865	+	0.922258i
$251$	−4.97402	−	4.97402i	−0.313957	−	0.313957i	0.532483	−	0.846440i	$-0.321259\pi$
$251$	−4.97402	−	4.97402i	−0.313957	−	0.313957i	−0.846440	+	0.532483i	$0.821259\pi$
$252$	0.825917	−	0.269406i	0.0520279	−	0.0169710i
$253$	1.32105	+	3.18930i	0.0830539	+	0.200510i
$254$	−10.1888	−	13.4437i	−0.639300	−	0.843533i
$255$	−22.6451	−	15.2317i	−1.41809	−	0.953848i
$256$	−7.32925	−	14.2226i	−0.458078	−	0.888912i
$257$	−2.37545	−	5.73484i	−0.148176	−	0.357729i	0.832312	−	0.554308i	$-0.187017\pi$
$257$	−2.37545	−	5.73484i	−0.148176	−	0.357729i	−0.980488	+	0.196578i	$0.937017\pi$
$258$	5.87857	−	16.9839i	0.365984	−	1.05737i
$259$	−4.71518	+	4.71518i	−0.292987	+	0.292987i
$260$	14.4704	+	7.35214i	0.897419	+	0.455961i
$261$	−1.73239	−	1.15755i	−0.107232	−	0.0716505i
$262$	8.27952	−	9.32803i	0.511510	−	0.576288i
$263$	2.91136	−	7.02865i	0.179522	−	0.433405i	−0.808344	−	0.588710i	$-0.799636\pi$
$263$	2.91136	−	7.02865i	0.179522	−	0.433405i	0.987867	+	0.155305i	$0.0496360\pi$
$264$	0.228168	−	12.7364i	0.0140428	−	0.783874i
$265$	−24.7058	+	4.91429i	−1.51766	+	0.301882i
$266$	−13.7729	+	0.820164i	−0.844469	+	0.0502875i
$267$	−12.8047	−	2.54701i	−0.783633	−	0.155874i
$268$	−0.827832	+	0.464858i	−0.0505679	+	0.0283957i
$269$	−0.468100	−	0.700560i	−0.0285405	−	0.0427139i	0.816925	−	0.576744i	$-0.195677\pi$
$269$	−0.468100	−	0.700560i	−0.0285405	−	0.0427139i	−0.845466	+	0.534030i	$0.820677\pi$
$270$	−15.3551	+	26.2328i	−0.934480	+	1.59648i
$271$	−0.495347			−0.0300902			−0.0150451	−	0.999887i	$-0.504789\pi$
$271$	−0.495347			−0.0300902			−0.0150451	+	0.999887i	$0.504789\pi$
$272$	−0.634748	−	16.4802i	−0.0384873	−	0.999259i
$273$	5.93079			0.358947
$274$	−1.57826	+	2.69632i	−0.0953461	+	0.162890i
$275$	−16.4614	−	24.6362i	−0.992660	−	1.48562i
$276$	−3.67957	+	2.06621i	−0.221484	+	0.124371i
$277$	7.81295	+	1.55409i	0.469434	+	0.0933763i	0.424139	−	0.905597i	$-0.360577\pi$
$277$	7.81295	+	1.55409i	0.469434	+	0.0933763i	0.0452959	+	0.998974i	$0.485577\pi$
$278$	−27.2064	+	1.62012i	−1.63173	+	0.0971683i
$279$	1.34115	−	0.266772i	0.0802928	−	0.0159712i
$280$	−19.8245	−	0.355148i	−1.18474	−	0.0212241i
$281$	−7.93869	+	19.1657i	−0.473583	+	1.14333i	0.488986	+	0.872292i	$0.337367\pi$
$281$	−7.93869	+	19.1657i	−0.473583	+	1.14333i	−0.962569	+	0.271038i	$0.912633\pi$
$282$	−4.63666	+	5.22384i	−0.276109	+	0.311075i
$283$	3.88907	+	2.59860i	0.231181	+	0.154470i	0.665766	−	0.746160i	$-0.268105\pi$
$283$	3.88907	+	2.59860i	0.231181	+	0.154470i	−0.434585	+	0.900631i	$0.643105\pi$
$284$	20.3506	+	10.3397i	1.20758	+	0.613549i
$285$	25.9862	−	25.9862i	1.53929	−	1.53929i
$286$	−2.55430	+	7.37966i	−0.151039	+	0.436369i
$287$	2.79514	+	6.74808i	0.164992	+	0.398326i
$288$	−1.39123	+	0.141058i	−0.0819791	+	0.00831191i
$289$	6.60191	−	15.6657i	0.388348	−	0.921513i
$290$	28.7228	+	37.8987i	1.68666	+	2.22549i
$291$	−1.63176	−	3.93941i	−0.0956553	−	0.230932i
$292$	14.4616	−	4.71724i	0.846303	−	0.276055i
$293$	14.3466	+	14.3466i	0.838135	+	0.838135i	0.988613	−	0.150478i	$-0.0480814\pi$
$293$	14.3466	+	14.3466i	0.838135	+	0.838135i	−0.150478	+	0.988613i	$0.548081\pi$
$294$	8.25724	−	4.01091i	0.481572	−	0.233921i
$295$	13.9737	+	9.33693i	0.813580	+	0.543617i
$296$	9.02996	−	5.80240i	0.524856	−	0.337258i
$297$	−13.5113	−	5.59656i	−0.784005	−	0.324745i
$298$	0.155053	+	0.592803i	0.00898200	+	0.0343401i
$299$	2.53733	−	0.504706i	0.146737	−	0.0291879i
$300$	27.5156	−	23.5553i	1.58862	−	1.35996i
$301$	2.62578	−	13.2007i	0.151347	−	0.760875i
$302$	−28.5745	−	3.93562i	−1.64428	−	0.226469i
$303$	11.5310	+	17.2573i	0.662436	+	0.991406i
$304$	21.9431	+	3.42381i	1.25852	+	0.196369i
$305$		−	8.41316i		−	0.481736i
$306$	−1.36066	−	0.475643i	−0.0777838	−	0.0271907i
$307$	−10.3982			−0.593455			−0.296727	−	0.954962i	$-0.595895\pi$
$307$	−10.3982			−0.593455			−0.296727	+	0.954962i	$0.595895\pi$
$308$	−1.13214	−	9.47224i	−0.0645098	−	0.539731i
$309$	−1.21902	+	0.814526i	−0.0693479	+	0.0463368i
$310$	−30.9175	−	4.25832i	−1.75599	−	0.241856i
$311$	−32.5176	−	6.46816i	−1.84391	−	0.366776i	−0.855401	−	0.517967i	$-0.826689\pi$
$311$	−32.5176	−	6.46816i	−1.84391	−	0.366776i	−0.988505	+	0.151191i	$0.951689\pi$
$312$	−9.32811	−	2.02982i	−0.528100	−	0.114916i
$313$	−4.09832	−	20.6037i	−0.231651	−	1.16459i	−0.905049	−	0.425307i	$-0.860166\pi$
$313$	−4.09832	−	20.6037i	−0.231651	−	1.16459i	0.673398	−	0.739280i	$-0.264834\pi$
$314$	3.86362	−	1.01057i	0.218037	−	0.0570296i
$315$	−0.663151	+	1.60099i	−0.0373643	+	0.0902054i
$316$	−1.45444	−	0.112787i	−0.0818185	−	0.00634474i
$317$	4.02641	−	6.02595i	0.226146	−	0.338451i	−0.700994	−	0.713167i	$-0.747260\pi$
$317$	4.02641	−	6.02595i	0.226146	−	0.338451i	0.927139	+	0.374716i	$0.122260\pi$
$318$	13.3265	−	6.47329i	0.747315	−	0.363004i
$319$	−16.1780	+	16.1780i	−0.905795	+	0.905795i
$320$	31.0590	+	7.34355i	1.73625	+	0.410517i
$321$	26.7145	−	11.0655i	1.49106	−	0.617616i
$322$	−2.51867	+	1.90886i	−0.140360	+	0.106377i
$323$	18.9949	+	12.7765i	1.05691	+	0.710905i
$324$	4.43204	−	15.7842i	0.246224	−	0.876898i
$325$	−20.5147	+	8.49747i	−1.13795	+	0.471355i
$326$	5.47627	−	15.8216i	0.303302	−	0.876276i
$327$	−19.4377	−	19.4377i	−1.07491	−	1.07491i
$328$	−2.08675	−	11.5702i	−0.115221	−	0.638858i
$329$	−2.90607	+	4.34925i	−0.160217	+	0.239782i
$330$	19.0036	+	16.8675i	1.04611	+	0.928524i
$331$	13.2900	+	5.50492i	0.730487	+	0.302578i	0.716752	−	0.697328i	$-0.245628\pi$
$331$	13.2900	+	5.50492i	0.730487	+	0.302578i	0.0137350	+	0.999906i	$0.495628\pi$
$332$	−24.4402	−	19.2216i	−1.34133	−	1.05492i
$333$	−0.183011	−	0.920059i	−0.0100289	−	0.0504189i
$334$	10.6935	−	0.636789i	0.585122	−	0.0348435i
$335$	0.369466	−	1.85743i	0.0201861	−	0.101482i
$336$	11.3333	−	2.74842i	0.618281	−	0.149939i
$337$	4.56567	−	3.05068i	0.248708	−	0.166181i	−0.424968	−	0.905208i	$-0.639715\pi$
$337$	4.56567	−	3.05068i	0.248708	−	0.166181i	0.673675	+	0.739027i	$0.264715\pi$
$338$	−10.8158	−	6.33091i	−0.588302	−	0.344356i
$339$		−	6.34435i		−	0.344578i
$340$	25.7959	+	20.4163i	1.39898	+	1.10723i
$341$		−	15.0157i		−	0.813145i
$342$	0.980509	−	1.67511i	0.0530199	−	0.0905798i
$343$	15.9434	−	10.6530i	0.860861	−	0.575209i
$344$	−8.64785	+	19.8637i	−0.466261	+	1.07098i
$345$	1.64221	−	8.25594i	0.0884135	−	0.444485i
$346$	−0.971702	−	16.3176i	−0.0522390	−	0.877241i
$347$	0.457262	+	2.29881i	0.0245471	+	0.123407i	0.991116	−	0.133000i	$-0.0424612\pi$
$347$	0.457262	+	2.29881i	0.0245471	+	0.123407i	−0.966569	+	0.256407i	$0.917461\pi$
$348$	−21.9842	−	17.2900i	−1.17848	−	0.926843i
$349$	2.99685	+	1.24134i	0.160418	+	0.0664472i	0.461447	−	0.887168i	$-0.347330\pi$
$349$	2.99685	+	1.24134i	0.160418	+	0.0664472i	−0.301030	+	0.953615i	$0.597330\pi$
$350$	18.0064	−	20.2868i	0.962484	−	1.08437i
$351$	−6.08895	+	9.11276i	−0.325004	+	0.486403i
$352$	−1.46122	+	15.2857i	−0.0778832	+	0.814730i
$353$	9.74006	+	9.74006i	0.518411	+	0.518411i	0.917090	−	0.398679i	$-0.130531\pi$
$353$	9.74006	+	9.74006i	0.518411	+	0.518411i	−0.398679	+	0.917090i	$0.630531\pi$
$354$	−9.34086	−	3.23312i	−0.496461	−	0.171838i
$355$	−42.0666	+	17.4245i	−2.23266	+	0.924799i
$356$	15.1516	+	4.25441i	0.803032	+	0.225483i
$357$	11.7825	+	2.38130i	0.623594	+	0.126032i
$358$	6.87589	+	9.07248i	0.363402	+	0.479496i
$359$	0.00216710		0.000897642i	0.000114375		4.73758e-5i	−0.382626	−	0.923903i	$-0.624980\pi$
$359$	0.00216710		0.000897642i	0.000114375		4.73758e-5i	0.382741	+	0.923856i	$0.374980\pi$
$360$	1.59096	−	2.29111i	0.0838511	−	0.120752i
$361$	−8.36248	+	8.36248i	−0.440130	+	0.440130i
$362$	−0.233229	−	0.480147i	−0.0122582	−	0.0252360i
$363$	3.34757	−	5.01000i	0.175702	−	0.262957i
$364$	−7.12776	−	0.552733i	−0.373596	−	0.0289711i
$365$	−11.6116	+	28.0329i	−0.607780	+	1.46731i
$366$	1.25214	+	4.78720i	0.0654504	+	0.250231i
$367$	−0.489357	−	2.46017i	−0.0255442	−	0.128420i	0.965909	−	0.258882i	$-0.0833539\pi$
$367$	−0.489357	−	2.46017i	−0.0255442	−	0.128420i	−0.991453	+	0.130462i	$0.958354\pi$
$368$	4.61475	−	2.14029i	0.240561	−	0.111570i
$369$	−1.00778	−	0.200460i	−0.0524630	−	0.0104355i
$370$	−2.92129	+	21.2100i	−0.151871	+	1.10265i
$371$	9.22526	−	6.16412i	0.478952	−	0.320025i
$372$	18.2262	−	2.17844i	0.944987	−	0.112947i
$373$	14.0865			0.729370			0.364685	−	0.931131i	$-0.381177\pi$
$373$	14.0865			0.729370			0.364685	+	0.931131i	$0.381177\pi$
$374$	−8.03757	+	13.6353i	−0.415613	+	0.705065i
$375$			39.1550i			2.02196i
$376$	6.05929	−	5.84601i	0.312484	−	0.301485i
$377$	9.52580	+	14.2564i	0.490603	+	0.734240i
$378$	1.82676	−	13.2632i	0.0939585	−	0.682185i
$379$	−2.62326	+	13.1880i	−0.134748	+	0.677424i	0.853068	+	0.521799i	$0.174739\pi$
$379$	−2.62326	+	13.1880i	−0.134748	+	0.677424i	−0.987816	+	0.155625i	$0.950261\pi$
$380$	−33.6527	+	28.8090i	−1.72635	+	1.47787i
$381$	−19.4098	+	3.86085i	−0.994394	+	0.197797i
$382$	−18.7959	+	4.91624i	−0.961680	+	0.251537i
$383$	32.2120	+	13.3426i	1.64595	+	0.681777i	0.996879	−	0.0789472i	$-0.0251559\pi$
$383$	32.2120	+	13.3426i	1.64595	+	0.681777i	0.649076	+	0.760724i	$0.275156\pi$
$384$	−18.7660	+	0.443966i	−0.957647	+	0.0226560i
$385$	15.8219	+	10.5719i	0.806359	+	0.538792i
$386$	−6.03602	−	12.4263i	−0.307225	−	0.632484i
$387$	1.33886	+	1.33886i	0.0680581	+	0.0680581i
$388$	1.59394	+	4.88655i	0.0809202	+	0.248077i
$389$	−7.40045	−	17.8663i	−0.375218	−	0.905856i	−0.992848	−	0.119387i	$-0.961907\pi$
$389$	−7.40045	−	17.8663i	−0.375218	−	0.905856i	0.617630	−	0.786469i	$-0.288093\pi$
$390$	15.1762	−	11.5018i	0.768478	−	0.582417i
$391$	5.24346	+	0.0160949i	0.265173	+	0.000813956i
$392$	−10.2975	+	4.05085i	−0.520105	+	0.204599i
$393$	−5.59970	−	13.5189i	−0.282467	−	0.681937i
$394$	−25.1502	−	8.70514i	−1.26705	−	0.438559i
$395$	2.05760	−	2.05760i	0.103529	−	0.103529i
$396$	1.19645	+	0.607893i	0.0601239	+	0.0305478i
$397$	−11.2307	−	7.50410i	−0.563652	−	0.376620i	0.240857	−	0.970561i	$-0.422571\pi$
$397$	−11.2307	−	7.50410i	−0.563652	−	0.376620i	−0.804509	+	0.593940i	$0.797571\pi$
$398$	8.02549	+	7.12339i	0.402281	+	0.357063i
$399$	−6.19449	+	14.9548i	−0.310112	+	0.748677i
$400$	−35.2642	+	25.7449i	−1.76321	+	1.28724i
$401$	38.5529	−	7.66865i	1.92524	−	0.382954i	0.925247	−	0.379366i	$-0.123858\pi$
$401$	38.5529	−	7.66865i	1.92524	−	0.382954i	0.999994	−	0.00358817i	$-0.00114215\pi$
$402$	0.0662122	+	1.11189i	0.00330236	+	0.0554561i
$403$	−11.0367	−	2.19535i	−0.549779	−	0.109358i
$404$	−12.2498	−	21.8149i	−0.609453	−	1.08533i
$405$	18.1685	+	27.1911i	0.902801	+	1.35114i
$406$	−18.0763	−	10.5808i	−0.897114	−	0.525116i
$407$	−10.3010			−0.510604
$408$	−17.7168	−	7.77794i	−0.877112	−	0.385065i
$409$	11.9403			0.590408			0.295204	−	0.955434i	$-0.404612\pi$
$409$	11.9403			0.590408			0.295204	+	0.955434i	$0.404612\pi$
$410$	20.2393	+	11.8468i	0.999547	+	0.585074i
$411$	2.03638	+	3.04766i	0.100447	+	0.150330i
$412$	1.54096	−	0.865307i	0.0759178	−	0.0426306i
$413$	−7.26017	−	1.44414i	−0.357249	−	0.0710613i
$414$	−0.0264279	−	0.443799i	−0.00129886	−	0.0218116i
$415$	60.8304	−	12.0999i	2.98605	−	0.593962i
$416$	11.0216	+	3.30884i	0.540377	+	0.162229i
$417$	−12.2364	+	29.5412i	−0.599217	+	1.44664i
$418$	−15.9404	−	14.1486i	−0.779669	−	0.692031i
$419$	−8.58305	−	5.73501i	−0.419309	−	0.280174i	0.327964	−	0.944690i	$-0.393637\pi$
$419$	−8.58305	−	5.73501i	−0.419309	−	0.280174i	−0.747273	+	0.664517i	$0.768637\pi$
$420$	−10.5369	+	20.7386i	−0.514146	+	1.01194i
$421$	19.1617	−	19.1617i	0.933883	−	0.933883i	−0.0640632	−	0.997946i	$-0.520406\pi$
$421$	19.1617	−	19.1617i	0.933883	−	0.933883i	0.997946	+	0.0640632i	$0.0204059\pi$
$422$	2.03334	+	0.703795i	0.0989817	+	0.0342602i
$423$	−0.281602	−	0.679847i	−0.0136919	−	0.0330553i
$424$	−16.6194	+	6.53775i	−0.807111	+	0.317501i
$425$	−44.1676	+	8.64464i	−2.14245	+	0.419327i
$426$	21.3432	−	16.1756i	1.03408	−	0.783712i
$427$	1.41810	+	3.42359i	0.0686266	+	0.165679i
$428$	−33.1374	+	10.8091i	−1.60176	+	0.522476i
$429$	6.47836	+	6.47836i	0.312778	+	0.312778i
$430$	−18.8815	−	38.8714i	−0.910549	−	1.87454i
$431$	1.10864	+	0.740767i	0.0534011	+	0.0356815i	0.581984	−	0.813200i	$-0.302277\pi$
$431$	1.10864	+	0.740767i	0.0534011	+	0.0356815i	−0.528583	+	0.848882i	$0.677277\pi$
$432$	−7.41253	+	20.2355i	−0.356635	+	0.973582i
$433$	−27.7088	−	11.4773i	−1.33160	−	0.551566i	−0.400488	−	0.916302i	$-0.631159\pi$
$433$	−27.7088	−	11.4773i	−1.33160	−	0.551566i	−0.931111	+	0.364736i	$0.881159\pi$
$434$	13.2991	−	3.47851i	0.638378	−	0.166974i
$435$	54.7175	−	10.8840i	2.62350	−	0.521847i
$436$	21.5491	+	25.1722i	1.03202	+	1.20553i
$437$	−1.37750	+	6.92516i	−0.0658948	+	0.331276i
$438$	2.43500	−	17.6793i	0.116349	−	0.844750i
$439$	−18.7585	−	28.0741i	−0.895296	−	1.33990i	−0.940096	−	0.340909i	$-0.889265\pi$
$439$	−18.7585	−	28.0741i	−0.895296	−	1.33990i	0.0448004	−	0.998996i	$-0.485735\pi$
$440$	−21.2669	−	22.0428i	−1.01386	−	1.05085i
$441$			0.967114i			0.0460530i
$442$	8.84703	+	7.90126i	0.420810	+	0.375825i
$443$	26.4412			1.25626			0.628130	−	0.778108i	$-0.283821\pi$
$443$	26.4412			1.25626			0.628130	+	0.778108i	$0.283821\pi$
$444$	−1.49445	−	12.5036i	−0.0709236	−	0.593393i
$445$	−26.1014	+	17.4404i	−1.23732	+	0.826753i
$446$	1.23259	−	8.94918i	0.0583646	−	0.423756i
$447$	0.705060	+	0.140245i	0.0333482	+	0.00663337i
$448$	−13.8767	+	2.24689i	−0.655615	+	0.106155i
$449$	−4.71747	−	23.7163i	−0.222631	−	1.11924i	−0.916774	−	0.399406i	$-0.869216\pi$
$449$	−4.71747	−	23.7163i	−0.222631	−	1.11924i	0.694143	−	0.719837i	$-0.255784\pi$
$450$	0.965616	+	3.69176i	0.0455196	+	0.174031i
$451$	−4.31790	+	10.4243i	−0.203322	+	0.490862i
$452$	−0.591276	+	7.62479i	−0.0278113	+	0.358640i
$453$	−18.8006	+	28.1370i	−0.883328	+	1.32199i
$454$	7.90804	+	16.2802i	0.371143	+	0.764070i
$455$	10.0837	−	10.0837i	0.472731	−	0.472731i
$456$	14.8612	−	21.4013i	0.695938	−	1.00221i
$457$	−3.16113	+	1.30938i	−0.147871	+	0.0612504i	−0.455392	−	0.890291i	$-0.650501\pi$
$457$	−3.16113	+	1.30938i	−0.147871	+	0.0612504i	0.307520	+	0.951542i	$0.400501\pi$
$458$	21.1322	+	27.8832i	0.987443	+	1.30290i
$459$	−15.7556	+	15.6592i	−0.735408	+	0.730907i
$460$	−2.74307	+	9.76913i	−0.127897	+	0.455488i
$461$	20.0966	−	8.32428i	0.935992	−	0.387700i	0.138043	−	0.990426i	$-0.455919\pi$
$461$	20.0966	−	8.32428i	0.935992	−	0.387700i	0.797948	+	0.602726i	$0.205919\pi$
$462$	−10.5763	−	3.66074i	−0.492054	−	0.170313i
$463$	18.4645	+	18.4645i	0.858120	+	0.858120i	0.991117	−	0.132996i	$-0.0424599\pi$
$463$	18.4645	+	18.4645i	0.858120	+	0.858120i	−0.132996	+	0.991117i	$0.542460\pi$
$464$	24.8097	+	22.8284i	1.15176	+	1.05978i
$465$	−20.3421	+	30.4441i	−0.943343	+	1.41181i
$466$	1.67394	−	1.88592i	0.0775436	−	0.0873637i
$467$	10.3991	+	4.30747i	0.481215	+	0.199326i	0.610085	−	0.792336i	$-0.291135\pi$
$467$	10.3991	+	4.30747i	0.481215	+	0.199326i	−0.128870	+	0.991661i	$0.541135\pi$
$468$	0.621736	−	0.790533i	0.0287397	−	0.0365424i
$469$	0.162735	+	0.818125i	0.00751441	+	0.0377775i
$470$	0.998349	+	16.7651i	0.0460504	+	0.773317i
$471$	0.914054	−	4.59526i	0.0421174	−	0.211739i
$472$	10.9247	+	4.75618i	0.502852	+	0.218921i
$473$	17.2877	−	11.5513i	0.794888	−	0.531127i
$474$	−0.864570	+	1.47704i	−0.0397110	+	0.0678428i
$475$		−	60.6043i		−	2.78072i
$476$	−13.9385	−	3.95999i	−0.638870	−	0.181506i
$477$			1.56085i			0.0714662i
$478$	31.1019	+	18.2051i	1.42257	+	0.832684i
$479$	13.6004	−	9.08748i	0.621417	−	0.415217i	−0.204614	−	0.978843i	$-0.565594\pi$
$479$	13.6004	−	9.08748i	0.621417	−	0.415217i	0.826030	+	0.563625i	$0.190594\pi$
$480$	23.6705	−	29.0120i	1.08041	−	1.32421i
$481$	−1.50605	+	7.57142i	−0.0686700	+	0.345227i
$482$	−26.4352	+	1.57419i	−1.20409	+	0.0717025i
$483$	0.723329	+	3.63642i	0.0329126	+	0.165463i
$484$	−4.49011	+	5.70915i	−0.204096	+	0.259507i
$485$	−9.47226	−	3.92354i	−0.430113	−	0.178159i
$486$	2.71001	+	2.40539i	0.122928	+	0.109111i
$487$	−11.2391	+	16.8204i	−0.509290	+	0.762207i	−0.993632	−	0.112672i	$-0.964059\pi$
$487$	−11.2391	+	16.8204i	−0.509290	+	0.762207i	0.484342	+	0.874879i	$0.339059\pi$
$488$	−1.05870	−	5.87007i	−0.0479249	−	0.265725i
$489$	−13.8892	−	13.8892i	−0.628092	−	0.628092i
$490$	7.21974	−	20.8587i	0.326155	−	0.942298i
$491$	−19.3271	+	8.00557i	−0.872222	+	0.361286i	−0.773475	−	0.633826i	$-0.781483\pi$
$491$	−19.3271	+	8.00557i	−0.872222	+	0.361286i	−0.0987466	+	0.995113i	$0.531483\pi$
$492$	−13.2796	−	3.72878i	−0.598691	−	0.168107i
$493$	13.2004	+	32.1473i	0.594516	+	1.44784i
$494$	−12.7300	+	9.64784i	−0.572748	+	0.434077i
$495$	−2.47318	+	1.02442i	−0.111161	+	0.0460445i
$496$	−22.1077	+	0.919467i	−0.992667	+	0.0412853i
$497$	14.1812	−	14.1812i	0.636116	−	0.636116i
$498$	−32.8125	+	15.9385i	−1.47036	+	0.714221i
$499$	5.07487	−	7.59508i	0.227182	−	0.340002i	−0.700314	−	0.713835i	$-0.746957\pi$
$499$	5.07487	−	7.59508i	0.227182	−	0.340002i	0.927496	+	0.373833i	$0.121957\pi$
$500$	3.64914	−	47.0574i	0.163194	−	2.10447i
$501$	4.80950	−	11.6112i	0.214873	−	0.518749i
$502$	9.62427	−	2.51732i	0.429552	−	0.112354i
$503$	−4.29208	−	21.5777i	−0.191374	−	0.962103i	−0.950397	−	0.311039i	$-0.899323\pi$
$503$	−4.29208	−	21.5777i	−0.191374	−	0.962103i	0.759023	−	0.651064i	$-0.225677\pi$
$504$	−0.261231	+	1.20050i	−0.0116362	+	0.0534744i
$505$	48.9466	+	9.73609i	2.17810	+	0.433250i
$506$	−4.83632	−	0.666114i	−0.215000	−	0.0296124i
$507$	−12.2252	+	8.16859i	−0.542938	+	0.362780i
$508$	23.6870	−	2.83112i	1.05094	−	0.125611i
$509$	7.32849			0.324830			0.162415	−	0.986723i	$-0.448072\pi$
$509$	7.32849			0.324830			0.162415	+	0.986723i	$0.448072\pi$
$510$	34.7682	−	16.7567i	1.53956	−	0.742000i
$511$		−	13.3648i		−	0.591222i
$512$	22.5948	+	1.21537i	0.998556	+	0.0537121i
$513$	−16.6187	−	24.8716i	−0.733732	−	1.09811i
$514$	8.69641	+	1.19777i	0.383582	+	0.0528314i
$515$	−0.687740	+	3.45750i	−0.0303054	+	0.152356i
$516$	16.5291	+	19.3082i	0.727654	+	0.849996i
$517$	−7.92519	+	1.57642i	−0.348549	+	0.0693308i
$518$	−2.38633	−	9.12345i	−0.104849	−	0.400861i
$519$	−17.7180	−	7.33902i	−0.777732	−	0.322147i
$520$	−19.3111	+	12.4088i	−0.846847	+	0.544160i
$521$	−21.4087	−	14.3048i	−0.937932	−	0.626706i	−0.0101977	−	0.999948i	$-0.503246\pi$
$521$	−21.4087	−	14.3048i	−0.937932	−	0.626706i	−0.927734	+	0.373242i	$0.878246\pi$
$522$	2.65042	−	1.28743i	0.116006	−	0.0563492i
$523$	3.54456	+	3.54456i	0.154993	+	0.154993i	0.780344	−	0.625351i	$-0.215044\pi$
$523$	3.54456	+	3.54456i	0.154993	+	0.154993i	−0.625351	+	0.780344i	$0.715044\pi$
$524$	5.46993	+	16.7692i	0.238955	+	0.732565i
$525$	−12.1783	−	29.4011i	−0.531505	−	1.28317i
$526$	6.49857	+	8.57463i	0.283351	+	0.373872i
$527$	−21.0448	−	8.79282i	−0.916726	−	0.383021i
$528$	15.3818	+	9.37748i	0.669408	+	0.408102i
$529$	−8.18281	−	19.7550i	−0.355774	−	0.858915i
$530$	11.6521	−	33.6642i	0.506134	−	1.46228i
$531$	0.736352	−	0.736352i	0.0319550	−	0.0319550i
$532$	8.83843	−	17.3957i	0.383194	−	0.754201i
$533$	7.03074	+	4.69779i	0.304535	+	0.203484i
$534$	12.2564	−	13.8085i	0.530385	−	0.597553i
$535$	26.6069	−	64.2346i	1.15031	−	2.77711i
$536$	0.0240497	−	1.34247i	0.00103879	−	0.0579857i
$537$	13.0987	−	2.60549i	0.565251	−	0.112435i
$538$	1.18945	−	0.0708307i	0.0512808	−	0.00305373i
$539$	10.4158	+	2.07183i	0.448639	+	0.0892399i
$540$	−21.0474	−	37.4818i	−0.905734	−	1.61296i
$541$	18.1292	+	27.1323i	0.779436	+	1.16651i	0.982302	+	0.187303i	$0.0599745\pi$
$541$	18.1292	+	27.1323i	0.779436	+	1.16651i	−0.202866	+	0.979207i	$0.565026\pi$
$542$	0.353880	−	0.604572i	0.0152004	−	0.0259686i
$543$	−0.626248			−0.0268749
$544$	20.5676	+	10.9989i	0.881827	+	0.471572i
$545$	−66.0971			−2.83129
$546$	−4.23699	+	7.23853i	−0.181327	+	0.309780i
$547$	12.9644	+	19.4026i	0.554318	+	0.829596i	0.997773	−	0.0667009i	$-0.0212473\pi$
$547$	12.9644	+	19.4026i	0.554318	+	0.829596i	−0.443455	+	0.896297i	$0.646247\pi$
$548$	−2.16334	−	3.85253i	−0.0924132	−	0.164572i
$549$	−0.511291	−	0.101702i	−0.0218214	−	0.00434054i
$550$	41.8287	−	2.49087i	1.78358	−	0.106211i
$551$	−45.8976	+	9.12960i	−1.95530	+	0.388934i
$552$	0.106897	−	5.96703i	0.00454983	−	0.253974i
$553$	−0.490483	+	1.18413i	−0.0208575	+	0.0503544i
$554$	−7.47839	+	8.42546i	−0.317727	+	0.357963i
$555$	20.8853	+	13.9551i	0.886530	+	0.592361i
$556$	17.4591	−	34.3629i	0.740430	−	1.45731i
$557$	−13.8015	+	13.8015i	−0.584786	+	0.584786i	−0.936215	−	0.351428i	$-0.885696\pi$
$557$	−13.8015	+	13.8015i	−0.584786	+	0.584786i	0.351428	+	0.936215i	$0.385696\pi$
$558$	−0.632534	+	1.82746i	−0.0267773	+	0.0773628i
$559$	−5.96282	−	14.3955i	−0.252201	−	0.608866i
$560$	14.5962	−	23.9421i	0.616803	−	1.01174i
$561$	10.2691	+	15.4715i	0.433564	+	0.653206i
$562$	−17.7203	−	23.3813i	−0.747485	−	0.986280i
$563$	11.3315	+	27.3567i	0.477567	+	1.15295i	0.960747	+	0.277428i	$0.0894818\pi$
$563$	11.3315	+	27.3567i	0.477567	+	1.15295i	−0.483180	+	0.875521i	$0.660518\pi$
$564$	−3.06325	−	9.39100i	−0.128986	−	0.395432i
$565$	−10.7869	−	10.7869i	−0.453806	−	0.453806i
$566$	−5.94997	+	2.89016i	−0.250096	+	0.121483i
$567$	−11.9766	−	8.00253i	−0.502971	−	0.336075i
$568$	−27.1582	+	17.4511i	−1.13953	+	0.732233i
$569$	−8.65964	−	3.58694i	−0.363031	−	0.150372i	0.193709	−	0.981059i	$-0.437948\pi$
$569$	−8.65964	−	3.58694i	−0.363031	−	0.150372i	−0.556740	+	0.830687i	$0.687948\pi$
$570$	13.1515	+	50.2810i	0.550855	+	2.10604i
$571$	−12.2859	+	2.44381i	−0.514147	+	0.102270i	−0.445343	−	0.895360i	$-0.646918\pi$
$571$	−12.2859	+	2.44381i	−0.514147	+	0.102270i	−0.0688038	+	0.997630i	$0.521918\pi$
$572$	−7.18208	−	8.38961i	−0.300298	−	0.350787i
$573$	−4.44673	+	22.3552i	−0.185765	+	0.933902i
$574$	−10.2329	−	1.40940i	−0.427113	−	0.0588270i
$575$	−7.71218	−	11.5421i	−0.321620	−	0.481338i
$576$	0.821744	−	1.79877i	0.0342393	−	0.0749488i
$577$		−	5.73217i		−	0.238633i	−0.992856	−	0.119317i	$-0.961930\pi$
$577$		−	5.73217i		−	0.238633i	0.992856	−	0.119317i	$-0.0380704\pi$
$578$	14.4036	+	19.2493i	0.599110	+	0.800667i
$579$	−16.2075			−0.673560
$580$	−66.7751	+	7.98111i	−2.77269	+	0.331398i
$581$	−22.7144	+	15.1773i	−0.942351	+	0.629659i
$582$	5.97379	+	0.822781i	0.247622	+	0.0341054i
$583$	16.8102	+	3.34376i	0.696209	+	0.138485i
$584$	−4.57410	+	21.0205i	−0.189278	+	0.869833i
$585$	0.391380	+	1.96760i	0.0161816	+	0.0813502i
$586$	−27.7593	+	7.26071i	−1.14672	+	0.299937i
$587$	1.26920	−	3.06413i	0.0523856	−	0.126470i	−0.895520	−	0.445021i	$-0.853196\pi$
$587$	1.26920	−	3.06413i	0.0523856	−	0.126470i	0.947906	+	0.318551i	$0.103196\pi$
$588$	−1.00371	+	12.9434i	−0.0413925	+	0.533776i
$589$	17.0632	−	25.5368i	0.703075	−	1.05223i
$590$	−21.3786	+	10.3845i	−0.880145	+	0.427525i
$591$	−22.0785	+	22.0785i	−0.908187	+	0.908187i
$592$	0.630772	+	15.1663i	0.0259246	+	0.623333i
$593$	12.2414	−	5.07054i	0.502693	−	0.208222i	−0.116903	−	0.993143i	$-0.537297\pi$
$593$	12.2414	−	5.07054i	0.502693	−	0.208222i	0.619596	+	0.784921i	$0.287297\pi$
$594$	16.4832	−	12.4923i	0.676312	−	0.512566i
$595$	24.0816	−	15.9841i	0.987251	−	0.655285i
$596$	−0.834287	−	0.234260i	−0.0341737	−	0.00959565i
$597$	11.6311	−	4.81777i	0.476030	−	0.197178i
$598$	−1.19669	+	3.45738i	−0.0489363	+	0.141383i
$599$	−4.43417	−	4.43417i	−0.181175	−	0.181175i	0.610693	−	0.791868i	$-0.290891\pi$
$599$	−4.43417	−	4.43417i	−0.181175	−	0.181175i	−0.791868	+	0.610693i	$0.790891\pi$
$600$	9.09186	+	50.4109i	0.371174	+	2.05802i
$601$	4.36634	−	6.53469i	0.178107	−	0.266556i	−0.731665	−	0.681664i	$-0.761256\pi$
$601$	4.36634	−	6.53469i	0.178107	−	0.266556i	0.909772	+	0.415109i	$0.136256\pi$
$602$	14.2356	+	12.6354i	0.580199	+	0.514981i
$603$	−0.108415	−	0.0449069i	−0.00441500	−	0.00182875i
$604$	25.2173	−	32.0636i	1.02608	−	1.30465i
$605$	−2.82650	−	14.2098i	−0.114914	−	0.577710i
$606$	−29.3004	+	1.74481i	−1.19025	+	0.0708782i
$607$	−2.60650	+	13.1038i	−0.105795	+	0.531866i	0.891147	+	0.453715i	$0.149902\pi$
$607$	−2.60650	+	13.1038i	−0.105795	+	0.531866i	−0.996942	+	0.0781510i	$0.975098\pi$
$608$	−19.8550	+	24.3356i	−0.805229	+	0.986937i
$609$	−20.4318	+	13.6521i	−0.827938	+	0.553210i
$610$	10.2683	+	6.01042i	0.415750	+	0.243355i
$611$			6.05561i			0.244984i
$612$	1.55259	−	1.32089i	0.0627597	−	0.0533936i
$613$		−	2.78252i		−	0.112385i	−0.998420	−	0.0561924i	$-0.982104\pi$
$613$		−	2.78252i		−	0.112385i	0.998420	−	0.0561924i	$-0.0178960\pi$
$614$	7.42852	−	12.6910i	0.299791	−	0.512166i
$615$	22.8766	−	15.2856i	0.922472	−	0.616376i
$616$	12.3697	+	5.38525i	0.498389	+	0.216978i
$617$	−3.33870	+	16.7848i	−0.134411	+	0.675730i	0.853548	+	0.521014i	$0.174446\pi$
$617$	−3.33870	+	16.7848i	−0.134411	+	0.675730i	−0.987959	+	0.154716i	$0.950554\pi$
$618$	−0.123250	−	2.06972i	−0.00495786	−	0.0832565i
$619$	−6.44112	−	32.3817i	−0.258891	−	1.30153i	−0.863233	−	0.504806i	$-0.831564\pi$
$619$	−6.44112	−	32.3817i	−0.258891	−	1.30153i	0.604342	−	0.796725i	$-0.293436\pi$
$620$	27.2849	−	34.6926i	1.09579	−	1.39329i
$621$	−6.33005	−	2.62199i	−0.254016	−	0.105217i
$622$	31.1252	−	35.0669i	1.24801	−	1.40605i
$623$	7.68181	−	11.4966i	0.307765	−	0.460603i
$624$	9.14146	−	9.93485i	0.365951	−	0.397712i
$625$	27.9804	+	27.9804i	1.11922	+	1.11922i
$626$	28.0747	+	9.71739i	1.12209	+	0.388385i
$627$	−23.1020	+	9.56915i	−0.922604	+	0.382155i
$628$	−1.52680	+	5.43751i	−0.0609259	+	0.216980i
$629$	−6.03205	+	14.4372i	−0.240514	+	0.575647i
$630$	−1.48025	−	1.95313i	−0.0589745	−	0.0778147i
$631$	19.1037	−	7.91302i	0.760507	−	0.315012i	0.0314865	−	0.999504i	$-0.489976\pi$
$631$	19.1037	−	7.91302i	0.760507	−	0.315012i	0.729021	+	0.684492i	$0.239976\pi$
$632$	1.17672	−	1.69457i	0.0468073	−	0.0674063i
$633$	1.78501	−	1.78501i	0.0709476	−	0.0709476i
$634$	4.47818	+	9.21921i	0.177851	+	0.366142i
$635$	−26.4368	+	39.5654i	−1.04911	+	1.57011i
$636$	−1.61992	+	20.8896i	−0.0642339	+	0.828327i
$637$	3.04565	−	7.35284i	0.120673	−	0.291330i
$638$	−8.18760	−	31.3030i	−0.324150	−	1.23930i
$639$	0.550418	+	2.76714i	0.0217742	+	0.109466i
$640$	−31.1516	+	32.6613i	−1.23137	+	1.29105i
$641$	−8.54254	−	1.69922i	−0.337410	−	0.0671150i	0.0234775	−	0.999724i	$-0.492526\pi$
$641$	−8.54254	−	1.69922i	−0.337410	−	0.0671150i	−0.360888	+	0.932609i	$0.617526\pi$
$642$	−5.57956	+	40.5103i	−0.220208	+	1.59882i
$643$	19.0459	−	12.7260i	0.751095	−	0.501866i	−0.120125	−	0.992759i	$-0.538329\pi$
$643$	19.0459	−	12.7260i	0.751095	−	0.501866i	0.871220	+	0.490893i	$0.163329\pi$
$644$	−0.530409	−	4.43775i	−0.0209011	−	0.174872i
$645$	−50.6993			−1.99628
$646$	−29.1639	+	14.0557i	−1.14744	+	0.553015i
$647$			44.2598i			1.74003i	0.493024	+	0.870016i	$0.335891\pi$
$647$			44.2598i			1.74003i	−0.493024	+	0.870016i	$0.664109\pi$
$648$	16.0983	+	16.6856i	0.632401	+	0.655473i
$649$	−6.35301	−	9.50795i	−0.249377	−	0.373220i
$650$	4.28468	−	31.1089i	0.168059	−	1.22019i
$651$	3.14630	−	15.8175i	0.123313	−	0.619938i
$652$	15.3980	+	17.9868i	0.603030	+	0.704419i
$653$	11.9296	−	2.37294i	0.466841	−	0.0928604i	0.0439355	−	0.999034i	$-0.486010\pi$
$653$	11.9296	−	2.37294i	0.466841	−	0.0928604i	0.422905	+	0.906174i	$0.361010\pi$
$654$	37.6101	−	9.83730i	1.47067	−	0.384669i
$655$	−32.5059	−	13.4644i	−1.27011	−	0.526098i
$656$	15.6122	+	5.71896i	0.609556	+	0.223288i
$657$	1.56327	+	1.04455i	0.0609891	+	0.0407516i
$658$	−3.23214	−	6.65400i	−0.126002	−	0.259400i
$659$	−26.0905	−	26.0905i	−1.01634	−	1.01634i	−0.999864	−	0.0164765i	$-0.994755\pi$
$659$	−26.0905	−	26.0905i	−1.01634	−	1.01634i	−0.0164765	−	0.999864i	$-0.505245\pi$
$660$	−34.1630	+	11.1436i	−1.32979	+	0.433765i
$661$	4.70510	+	11.3591i	0.183007	+	0.441818i	0.988584	−	0.150674i	$-0.0481443\pi$
$661$	4.70510	+	11.3591i	0.183007	+	0.441818i	−0.805577	+	0.592492i	$0.798144\pi$
$662$	−16.2133	+	12.2878i	−0.630146	+	0.477578i
$663$	12.8731	−	5.28599i	0.499951	−	0.205291i
$664$	40.9203	−	16.0972i	1.58801	−	0.624693i
$665$	14.8946	+	35.9587i	0.577586	+	1.39442i
$666$	1.25368	+	0.433931i	0.0485790	+	0.0168145i
$667$	−7.57941	+	7.57941i	−0.293476	+	0.293476i
$668$	−6.86230	+	13.5063i	−0.265510	+	0.522576i
$669$	−8.81217	−	5.88810i	−0.340698	−	0.227647i
$670$	2.00304	+	1.77789i	0.0773844	+	0.0686860i
$671$	−2.19065	+	5.28871i	−0.0845693	+	0.204168i
$672$	−4.74213	+	15.7958i	−0.182931	+	0.609335i
$673$	−31.4502	+	6.25584i	−1.21232	+	0.241145i	−0.759529	−	0.650473i	$-0.774571\pi$
$673$	−31.4502	+	6.25584i	−1.21232	+	0.241145i	−0.452788	+	0.891618i	$0.649571\pi$
$674$	0.461615	+	7.75183i	0.0177807	+	0.298589i
$675$	57.6784	+	11.4729i	2.22004	+	0.441594i
$676$	15.4538	−	8.67785i	0.594376	−	0.333763i
$677$	−25.6042	−	38.3193i	−0.984047	−	1.47273i	−0.878168	−	0.478352i	$-0.841234\pi$
$677$	−25.6042	−	38.3193i	−0.984047	−	1.47273i	−0.105879	−	0.994379i	$-0.533766\pi$
$678$	7.74329	+	4.53245i	0.297379	+	0.174068i
$679$	4.51592			0.173305
$680$	−43.3469	+	16.8983i	−1.66228	+	0.648021i
$681$	21.2341			0.813692
$682$	18.3266	+	10.7273i	0.701764	+	0.410770i
$683$	−17.8349	−	26.6918i	−0.682433	−	1.02133i	−0.997388	−	0.0722266i	$-0.976990\pi$
$683$	−17.8349	−	26.6918i	−0.682433	−	1.02133i	0.314955	−	0.949107i	$-0.398010\pi$
$684$	1.34400	+	2.39343i	0.0513889	+	0.0915149i
$685$	8.64404	+	1.71941i	0.330272	+	0.0656951i
$686$	1.61197	+	27.0695i	0.0615452	+	1.03352i
$687$	40.2573	−	8.00767i	1.53591	−	0.305512i
$688$	−18.0656	−	24.7455i	−0.688746	−	0.943413i
$689$	4.91543	−	11.8669i	0.187263	−	0.452093i
$690$	8.90318	+	7.90242i	0.338938	+	0.300840i
$691$	−21.0814	−	14.0862i	−0.801975	−	0.535863i	0.0857066	−	0.996320i	$-0.472685\pi$
$691$	−21.0814	−	14.0862i	−0.801975	−	0.535863i	−0.887682	+	0.460458i	$0.847685\pi$
$692$	20.6099	+	10.4715i	0.783470	+	0.398065i
$693$	0.833744	−	0.833744i	0.0316713	−	0.0316713i
$694$	−3.13238	−	1.08420i	−0.118903	−	0.0411556i
$695$	29.4221	+	71.0313i	1.11605	+	2.69437i
$696$	36.8081	−	14.4796i	1.39521	−	0.548847i
$697$	12.0815	+	12.1559i	0.457618	+	0.460436i
$698$	−3.65603	+	2.77084i	−0.138383	+	0.104878i
$699$	−1.13214	−	2.73322i	−0.0428213	−	0.103380i
$700$	11.8961	+	36.4699i	0.449630	+	1.37843i
$701$	−13.1199	−	13.1199i	−0.495533	−	0.495533i	0.414511	−	0.910044i	$-0.363952\pi$
$701$	−13.1199	−	13.1199i	−0.495533	−	0.495533i	−0.910044	+	0.414511i	$0.863952\pi$
$702$	−6.77214	−	13.9418i	−0.255598	−	0.526199i
$703$	−17.5188	−	11.7057i	−0.660733	−	0.441488i
$704$	−17.6123	−	12.7036i	−0.663788	−	0.478786i
$705$	18.2038	+	7.54028i	0.685596	+	0.283983i
$706$	−18.8461	+	4.92939i	−0.709283	+	0.185520i
$707$	−21.5591	+	4.28837i	−0.810813	+	0.161281i
$708$	10.6192	−	9.09076i	0.399094	−	0.341652i
$709$	−0.00545205	+	0.0274093i	−0.000204756	+	0.00102938i	−0.980888	−	0.194576i	$-0.937667\pi$
$709$	−0.00545205	+	0.0274093i	−0.000204756	+	0.00102938i	0.980683	+	0.195605i	$0.0626670\pi$
$710$	8.78598	−	63.7905i	0.329732	−	2.39402i
$711$	−0.100173	−	0.149920i	−0.00375679	−	0.00562243i
$712$	−16.0169	+	15.4531i	−0.600259	+	0.579131i
$713$		−	7.03485i		−	0.263457i
$714$	−11.3238	+	12.6793i	−0.423784	+	0.474510i
$715$	22.0294			0.823852
$716$	−15.9852	+	1.91058i	−0.597393	+	0.0714018i
$717$	35.1546	−	23.4896i	1.31287	−	0.877234i
$718$	−0.000452618		0.00328623i	−1.68916e−5		0.000122641i
$719$	50.0003	+	9.94567i	1.86469	+	0.370911i	0.992899	−	0.118959i	$-0.0379556\pi$
$719$	50.0003	+	9.94567i	1.86469	+	0.370911i	0.871796	+	0.489870i	$0.162956\pi$
$720$	1.65971	+	3.57856i	0.0618539	+	0.133365i
$721$	−0.302923	−	1.52290i	−0.0112814	−	0.0567156i
$722$	−4.23220	−	16.1806i	−0.157506	−	0.602180i
$723$	−11.8895	+	28.7037i	−0.442175	+	1.06750i
$724$	0.752640	+	0.0583646i	0.0279716	+	0.00216910i
$725$	51.1136	−	76.4970i	1.89831	−	2.84103i
$726$	3.72318	+	7.66490i	0.138180	+	0.284471i
$727$	−26.1689	+	26.1689i	−0.970549	+	0.970549i	−0.999579	−	0.0290292i	$-0.990758\pi$
$727$	−26.1689	+	26.1689i	−0.970549	+	0.970549i	0.0290292	+	0.999579i	$0.490758\pi$
$728$	5.76673	−	8.30456i	0.213729	−	0.307787i
$729$	26.6475	−	11.0378i	0.986944	−	0.408806i
$730$	−25.9188	−	34.1989i	−0.959298	−	1.26576i
$731$	−6.06609	−	30.9932i	−0.224363	−	1.14632i
$732$	−6.73732	−	1.89177i	−0.249019	−	0.0699220i
$733$	−27.7420	+	11.4911i	−1.02467	+	0.424434i	−0.830787	−	0.556590i	$-0.812109\pi$
$733$	−27.7420	+	11.4911i	−1.02467	+	0.424434i	−0.193887	+	0.981024i	$0.562109\pi$
$734$	3.35223	+	1.16030i	0.123733	+	0.0428274i
$735$	−18.3111	−	18.3111i	−0.675416	−	0.675416i
$736$	−0.684581	+	7.16135i	−0.0252340	+	0.263971i
$737$	−0.715900	+	1.07142i	−0.0263705	+	0.0394663i
$738$	0.964628	−	1.08679i	0.0355085	−	0.0400052i
$739$	5.46559	+	2.26392i	0.201055	+	0.0832797i	0.480939	−	0.876754i	$-0.340296\pi$
$739$	5.46559	+	2.26392i	0.201055	+	0.0832797i	−0.279884	+	0.960034i	$0.590296\pi$
$740$	−23.7998	−	18.7180i	−0.874899	−	0.688087i
$741$	3.65588	+	18.3793i	0.134302	+	0.675182i
$742$	0.932727	+	15.6631i	0.0342415	+	0.575012i
$743$	1.93989	−	9.75248i	0.0711677	−	0.357784i	−0.928749	−	0.370710i	$-0.879114\pi$
$743$	1.93989	−	9.75248i	0.0711677	−	0.357784i	0.999916	+	0.0129257i	$0.00411449\pi$
$744$	−10.3622	+	23.8014i	−0.379895	+	0.872603i
$745$	1.43721	−	0.960315i	0.0526554	−	0.0351832i
$746$	−10.0635	+	17.1925i	−0.368450	+	0.629464i
$747$		−	3.84311i		−	0.140612i
$748$	−10.8998	−	19.5510i	−0.398536	−	0.714856i
$749$			30.6240i			1.11898i
$750$	−47.7887	−	27.9726i	−1.74500	−	1.02142i
$751$	−35.8721	+	23.9690i	−1.30899	+	0.874641i	−0.997146	−	0.0754921i	$-0.975947\pi$
$751$	−35.8721	+	23.9690i	−1.30899	+	0.874641i	−0.311846	+	0.950133i	$0.600947\pi$
$752$	2.80627	+	11.5718i	0.102334	+	0.421980i
$753$	2.27691	−	11.4468i	0.0829751	−	0.417144i
$754$	−24.2052	+	1.44140i	−0.881501	+	0.0524927i
$755$	15.8741	+	79.8047i	0.577719	+	2.90439i
$756$	14.8827	+	11.7049i	0.541278	+	0.425702i
$757$	11.6970	+	4.84507i	0.425136	+	0.176097i	0.584985	−	0.811044i	$-0.301101\pi$
$757$	11.6970	+	4.84507i	0.425136	+	0.176097i	−0.159848	+	0.987142i	$0.551101\pi$
$758$	−14.2219	−	12.6233i	−0.516564	−	0.458500i
$759$	−3.18205	+	4.76227i	−0.115501	+	0.172860i
$760$	−11.1197	−	61.6545i	−0.403354	−	2.23644i
$761$	14.9604	+	14.9604i	0.542315	+	0.542315i	0.924207	−	0.381892i	$-0.124727\pi$
$761$	14.9604	+	14.9604i	0.542315	+	0.542315i	−0.381892	+	0.924207i	$0.624727\pi$
$762$	9.15433	−	26.4479i	0.331626	−	0.958106i
$763$	26.8971	−	11.1411i	0.973739	−	0.403336i
$764$	7.42762	−	26.4526i	0.268722	−	0.957021i
$765$	−0.0124810	+	4.06609i	−0.000451251	+	0.147010i
$766$	−39.2971	+	29.7827i	−1.41986	+	1.07609i
$767$	−7.91731	+	3.27946i	−0.285878	+	0.118414i
$768$	12.8647	−	23.2211i	0.464214	−	0.837918i
$769$	5.62268	−	5.62268i	0.202759	−	0.202759i	−0.598422	−	0.801181i	$-0.704205\pi$
$769$	5.62268	−	5.62268i	0.202759	−	0.202759i	0.801181	+	0.598422i	$0.204205\pi$
$770$	−24.2062	+	11.7580i	−0.872333	+	0.423730i
$771$	5.72179	−	8.56327i	0.206065	−	0.308399i
$772$	19.4785	+	1.51049i	0.701047	+	0.0543638i
$773$	−16.6372	+	40.1658i	−0.598399	+	1.44466i	0.276813	+	0.960924i	$0.410722\pi$
$773$	−16.6372	+	40.1658i	−0.598399	+	1.44466i	−0.875212	+	0.483740i	$0.839278\pi$
$774$	−2.59057	+	0.677589i	−0.0931162	+	0.0243554i
$775$	11.7798	+	59.2211i	0.423143	+	2.12728i
$776$	−7.10276	−	1.54558i	−0.254974	−	0.0554830i
$777$	−10.8511	−	2.15842i	−0.389282	−	0.0774331i
$778$	27.0927	+	3.73153i	0.971321	+	0.133782i
$779$	−19.1891	+	12.8217i	−0.687521	+	0.459387i
$780$	3.19597	+	26.7396i	0.114434	+	0.957430i
$781$	30.9811			1.10859
$782$	−3.76561	+	6.38814i	−0.134658	+	0.228440i
$783$		−	45.4100i		−	1.62282i
$784$	2.41257	−	15.4621i	0.0861634	−	0.552219i
$785$	−6.25890	−	9.36710i	−0.223390	−	0.334326i
$786$	20.5003	+	2.82354i	0.731220	+	0.100712i
$787$	−5.54976	+	27.9005i	−0.197827	+	0.994546i	0.746462	+	0.665429i	$0.231751\pi$
$787$	−5.54976	+	27.9005i	−0.197827	+	0.994546i	−0.944289	+	0.329117i	$0.893249\pi$
$788$	28.5921	−	24.4768i	1.01855	−	0.871949i
$789$	12.3799	−	2.46252i	0.440737	−	0.0876680i
$790$	1.04134	+	3.98128i	0.0370493	+	0.141647i
$791$	6.20773	+	2.57132i	0.220721	+	0.0914258i
$792$	−1.59669	+	1.02599i	−0.0567358	+	0.0364569i
$793$	3.56700	+	2.38339i	0.126668	+	0.0846367i
$794$	17.1820	−	8.34608i	0.609768	−	0.296191i
$795$	−29.5527	−	29.5527i	−1.04813	−	1.04813i
$796$	−14.4276	+	4.70612i	−0.511371	+	0.166804i
$797$	−16.1567	−	39.0057i	−0.572299	−	1.38165i	−0.899593	−	0.436729i	$-0.856137\pi$
$797$	−16.1567	−	39.0057i	−0.572299	−	1.38165i	0.327295	−	0.944922i	$-0.393863\pi$
$798$	−13.8270	−	18.2442i	−0.489470	−	0.645838i
$799$	−2.43142	+	12.0304i	−0.0860173	+	0.425606i
$800$	−6.22866	−	61.4323i	−0.220216	−	2.17196i
$801$	0.744375	+	1.79708i	0.0263012	+	0.0634967i
$802$	−18.1829	+	52.5324i	−0.642059	+	1.85498i
$803$	14.5987	−	14.5987i	0.515176	−	0.515176i
$804$	−1.40437	−	0.713530i	−0.0495282	−	0.0251643i
$805$	7.41257	+	4.95292i	0.261259	+	0.174568i
$806$	10.5641	−	11.9020i	0.372106	−	0.419230i
$807$	0.534966	−	1.29152i	0.0188317	−	0.0454638i
$808$	35.3765	+	0.633754i	1.24454	+	0.0222954i
$809$	20.4694	−	4.07161i	0.719664	−	0.143150i	0.178346	−	0.983968i	$-0.442925\pi$
$809$	20.4694	−	4.07161i	0.719664	−	0.143150i	0.541318	+	0.840818i	$0.317925\pi$
$810$	−46.1665	+	2.74918i	−1.62213	+	0.0965963i
$811$	−19.7791	−	3.93431i	−0.694538	−	0.138152i	−0.164817	−	0.986324i	$-0.552703\pi$
$811$	−19.7791	−	3.93431i	−0.694538	−	0.138152i	−0.529721	+	0.848172i	$0.677703\pi$
$812$	25.8277	−	14.5032i	0.906376	−	0.508963i
$813$	−0.456601	−	0.683351i	−0.0160137	−	0.0239662i
$814$	7.35914	−	12.5724i	0.257938	−	0.440664i
$815$	−47.2297			−1.65438
$816$	22.1500	−	16.0668i	0.775404	−	0.562449i
$817$	42.5271			1.48784
$818$	−8.53020	+	14.5731i	−0.298252	+	0.509536i
$819$	−0.490918	−	0.734711i	−0.0171541	−	0.0256729i
$820$	−28.9182	+	16.2386i	−1.00987	+	0.567077i
$821$	39.9253	+	7.94163i	1.39340	+	0.277165i	0.834015	−	0.551742i	$-0.186037\pi$
$821$	39.9253	+	7.94163i	1.39340	+	0.277165i	0.559387	+	0.828907i	$0.311037\pi$
$822$	−5.17448	+	0.308136i	−0.180481	+	0.0107475i
$823$	1.01321	−	0.201541i	0.0353184	−	0.00702527i	−0.177399	−	0.984139i	$-0.556768\pi$
$823$	1.01321	−	0.201541i	0.0353184	−	0.00702527i	0.212718	+	0.977114i	$0.431768\pi$
$824$	−0.0447673	+	2.49893i	−0.00155954	+	0.0870543i
$825$	18.8129	−	45.4183i	0.654980	−	1.58126i
$826$	6.94928	−	7.82934i	0.241797	−	0.272418i
$827$	−32.4708	−	21.6963i	−1.12912	−	0.754454i	−0.156690	−	0.987648i	$-0.550082\pi$
$827$	−32.4708	−	21.6963i	−1.12912	−	0.754454i	−0.972430	+	0.233194i	$0.925082\pi$
$828$	0.560538	+	0.284798i	0.0194800	+	0.00989742i
$829$	10.1880	−	10.1880i	0.353845	−	0.353845i	−0.507693	−	0.861538i	$-0.669502\pi$
$829$	10.1880	−	10.1880i	0.353845	−	0.353845i	0.861538	+	0.507693i	$0.169502\pi$
$830$	−28.6897	+	82.8879i	−0.995835	+	2.87708i
$831$	5.05787	+	12.2108i	0.175456	+	0.423588i
$832$	−11.9123	+	11.0880i	−0.412986	+	0.384406i
$833$	9.00294	−	13.3847i	0.311933	−	0.463753i
$834$	−27.3133	−	36.0389i	−0.945782	−	1.24792i
$835$	−11.5644	−	27.9189i	−0.400202	−	0.966173i
$836$	28.6563	−	9.34739i	0.991099	−	0.323286i
$837$	21.0737	+	21.0737i	0.728414	+	0.728414i
$838$	13.1314	−	6.37849i	0.453616	−	0.220341i
$839$	5.81558	+	3.88585i	0.200776	+	0.134154i	0.651894	−	0.758310i	$-0.273975\pi$
$839$	5.81558	+	3.88585i	0.200776	+	0.134154i	−0.451118	+	0.892464i	$0.648975\pi$
$840$	−17.7839	−	27.6761i	−0.613602	−	0.954915i
$841$	−38.8410	−	16.0885i	−1.33934	−	0.554774i
$842$	9.69761	+	37.0761i	0.334202	+	1.27773i
$843$	−33.7575	+	6.71479i	−1.16267	+	0.231270i
$844$	−2.31162	+	1.97890i	−0.0795692	+	0.0681167i
$845$	−6.89709	+	34.6740i	−0.237267	+	1.19282i
$846$	1.03093	+	0.141992i	0.0354442	+	0.00488179i
$847$	3.54536	+	5.30600i	0.121820	+	0.182316i
$848$	3.89371	−	24.9546i	0.133710	−	0.856946i
$849$			7.76046i			0.266338i
$850$	21.0029	−	60.0824i	0.720393	−	2.06081i
$851$	−4.82605			−0.165435
$852$	4.49467	+	37.6053i	0.153985	+	1.28834i
$853$	24.7676	−	16.5492i	0.848026	−	0.566633i	−0.0538885	−	0.998547i	$-0.517162\pi$
$853$	24.7676	−	16.5492i	0.848026	−	0.566633i	0.901915	+	0.431914i	$0.142162\pi$
$854$	−5.19159	−	0.715047i	−0.177653	−	0.0244684i
$855$	−5.37019	−	1.06820i	−0.183657	−	0.0365316i
$856$	10.4811	−	48.1663i	0.358236	−	1.64629i
$857$	−1.68953	−	8.49385i	−0.0577133	−	0.290145i	0.941140	−	0.338017i	$-0.109756\pi$
$857$	−1.68953	−	8.49385i	−0.0577133	−	0.290145i	−0.998853	+	0.0478721i	$0.984756\pi$
$858$	−12.5350	+	3.27866i	−0.427939	+	0.111932i
$859$	5.35005	−	12.9162i	0.182541	−	0.440694i	−0.805948	−	0.591987i	$-0.798344\pi$
$859$	5.35005	−	12.9162i	0.182541	−	0.440694i	0.988489	+	0.151293i	$0.0483437\pi$
$860$	60.9316	+	4.72504i	2.07775	+	0.161122i
$861$	−6.73273	+	10.0762i	−0.229451	+	0.343397i
$862$	−1.69612	+	0.823882i	−0.0577702	+	0.0280615i
$863$	−21.9763	+	21.9763i	−0.748081	+	0.748081i	−0.974119	−	0.226038i	$-0.927423\pi$
$863$	−21.9763	+	21.9763i	−0.748081	+	0.748081i	0.226038	+	0.974119i	$0.427423\pi$
$864$	−19.4019	−	23.5034i	−0.660066	−	0.799602i
$865$	−42.6026	+	17.6466i	−1.44853	+	0.600001i
$866$	33.8035	−	25.6191i	1.14869	−	0.870572i
$867$	27.6970	−	5.33272i	0.940638	−	0.181109i
$868$	−5.25545	+	18.7166i	−0.178382	+	0.635284i
$869$	−1.82923	+	0.757691i	−0.0620523	+	0.0257029i
$870$	−25.8066	+	74.5584i	−0.874927	+	2.52777i
$871$	0.682843	+	0.682843i	0.0231372	+	0.0231372i
$872$	−46.1176	+	8.31754i	−1.56174	+	0.281667i
$873$	−0.352950	+	0.528226i	−0.0119455	+	0.0178778i
$874$	−7.46807	−	6.62863i	−0.252611	−	0.224217i
$875$	−38.3118	−	15.8693i	−1.29518	−	0.536479i
$876$	19.8380	+	15.6021i	0.670265	+	0.527148i
$877$	−0.471143	−	2.36860i	−0.0159094	−	0.0799818i	0.972015	−	0.234919i	$-0.0754825\pi$
$877$	−0.471143	−	2.36860i	−0.0159094	−	0.0799818i	−0.987924	+	0.154937i	$0.950482\pi$
$878$	47.6657	−	2.83846i	1.60864	−	0.0957932i
$879$	−6.56729	+	33.0160i	−0.221509	+	1.11360i
$880$	42.0965	−	10.2088i	1.41907	−	0.344138i
$881$	−30.2718	+	20.2270i	−1.01988	+	0.681464i	−0.948758	−	0.316003i	$-0.897659\pi$
$881$	−30.2718	+	20.2270i	−1.01988	+	0.681464i	−0.0711250	+	0.997467i	$0.522659\pi$
$882$	−1.18036	−	0.690913i	−0.0397449	−	0.0232642i
$883$			45.6924i			1.53767i	0.639446	+	0.768836i	$0.279164\pi$
$883$			45.6924i			1.53767i	−0.639446	+	0.768836i	$0.720836\pi$
$884$	−15.9639	+	5.15309i	−0.536923	+	0.173317i
$885$			27.8838i			0.937305i
$886$	−18.8898	+	32.2715i	−0.634615	+	1.08418i
$887$	11.7069	−	7.82227i	0.393078	−	0.262646i	−0.343288	−	0.939230i	$-0.611541\pi$
$887$	11.7069	−	7.82227i	0.393078	−	0.262646i	0.736365	+	0.676584i	$0.236541\pi$
$888$	16.3283	+	7.10865i	0.547940	+	0.238551i
$889$	4.08896	−	20.5566i	0.137139	−	0.689446i
$890$	−2.63900	−	44.3163i	−0.0884594	−	1.48548i
$891$	−4.34102	−	21.8238i	−0.145430	−	0.731124i
$892$	10.0419	+	7.89773i	0.336228	+	0.264436i
$893$	−15.2696	−	6.32486i	−0.510976	−	0.211653i
$894$	−0.674869	+	0.760334i	−0.0225710	+	0.0254294i
$895$	17.8409	−	26.7007i	0.596354	−	0.892507i
$896$	7.17132	−	18.5418i	0.239577	−	0.619437i
$897$	3.03511	+	3.03511i	0.101340	+	0.101340i
$898$	32.3160	+	11.1854i	1.07840	+	0.373263i
$899$	43.0755	−	17.8424i	1.43665	−	0.595079i
$900$	−5.19564	−	1.45888i	−0.173188	−	0.0486294i
$901$	14.5300	−	21.6019i	0.484066	−	0.719664i
$902$	−9.63816	−	12.7172i	−0.320916	−	0.423437i
$903$	20.6312	−	8.54574i	0.686564	−	0.284384i
$904$	−8.88365	−	6.16886i	−0.295466	−	0.205173i
$905$	−1.06477	+	1.06477i	−0.0353940	+	0.0353940i
$906$	−20.9100	−	43.0474i	−0.694689	−	1.43015i
$907$	0.670220	−	1.00305i	0.0222543	−	0.0333059i	−0.820176	−	0.572112i	$-0.806124\pi$
$907$	0.670220	−	1.00305i	0.0222543	−	0.0333059i	0.842430	+	0.538806i	$0.181124\pi$
$908$	−25.5196	−	1.97896i	−0.846898	−	0.0656740i
$909$	1.18338	−	2.85693i	0.0392502	−	0.0947584i
$910$	5.10330	+	19.5110i	0.169173	+	0.646784i
$911$	−4.49473	−	22.5965i	−0.148917	−	0.748656i	−0.981000	−	0.194006i	$-0.937852\pi$
$911$	−4.49473	−	22.5965i	−0.148917	−	0.748656i	0.832084	−	0.554650i	$-0.187148\pi$
$912$	15.5034	+	33.4273i	0.513368	+	1.10689i
$913$	−41.3901	−	8.23300i	−1.36981	−	0.272473i
$914$	0.660230	−	4.79360i	0.0218385	−	0.158558i
$915$	11.6063	−	7.75506i	0.383692	−	0.256374i
$916$	−49.1285	+	5.87194i	−1.62325	+	0.194014i
$917$	15.4973			0.511765
$918$	−7.85612	−	30.4167i	−0.259291	−	1.00390i
$919$			21.8485i			0.720717i	0.932814	+	0.360358i	$0.117346\pi$
$919$			21.8485i			0.720717i	−0.932814	+	0.360358i	$0.882654\pi$
$920$	−9.96356	−	10.3271i	−0.328489	−	0.340473i
$921$	−9.58480	−	14.3447i	−0.315830	−	0.472673i
$922$	−4.19735	+	30.4748i	−0.138232	+	1.00364i
$923$	4.52955	−	22.7716i	0.149092	−	0.749536i
$924$	12.0237	−	10.2931i	0.395552	−	0.338619i
$925$	40.6268	−	8.08118i	1.33580	−	0.265708i
$926$	−35.7272	+	9.34480i	−1.17407	+	0.307089i
$927$	0.201808	+	0.0835918i	0.00662826	+	0.00274551i
$928$	−45.5863	+	13.9715i	−1.49644	+	0.458636i
$929$	44.3386	+	29.6261i	1.45470	+	0.972000i	0.996539	+	0.0831312i	$0.0264921\pi$
$929$	44.3386	+	29.6261i	1.45470	+	0.972000i	0.458162	+	0.888869i	$0.348508\pi$
$930$	−22.6245	−	46.5771i	−0.741888	−	1.52732i
$931$	15.3595	+	15.3595i	0.503389	+	0.503389i
$932$	1.10590	+	3.39036i	0.0362249	+	0.111055i
$933$	−21.0510	−	50.8215i	−0.689178	−	1.66382i
$934$	−12.6865	+	9.61488i	−0.415114	+	0.314608i
$935$	43.7649	+	8.84512i	1.43127	+	0.289266i
$936$	0.520674	+	1.32359i	0.0170188	+	0.0432629i
$937$	12.1271	+	29.2774i	0.396175	+	0.956451i	0.988564	+	0.150799i	$0.0481847\pi$
$937$	12.1271	+	29.2774i	0.396175	+	0.956451i	−0.592389	+	0.805652i	$0.701815\pi$
$938$	−1.11478	−	0.385856i	−0.0363989	−	0.0125986i
$939$	24.6458	−	24.6458i	0.804285	−	0.804285i
$940$	−21.1751	−	10.7586i	−0.690655	−	0.350908i
$941$	−12.7817	−	8.54045i	−0.416671	−	0.278411i	0.329512	−	0.944151i	$-0.393116\pi$
$941$	−12.7817	−	8.54045i	−0.416671	−	0.278411i	−0.746183	+	0.665741i	$0.768116\pi$
$942$	4.95552	+	4.39849i	0.161459	+	0.143311i
$943$	−2.02294	+	4.88380i	−0.0658759	+	0.159038i
$944$	−13.6096	+	9.93581i	−0.442956	+	0.323383i
$945$	−37.0423	+	7.36816i	−1.20498	+	0.239686i
$946$	1.74788	+	29.3519i	0.0568286	+	0.954313i
$947$	−5.57771	−	1.10948i	−0.181251	−	0.0360531i	0.103630	−	0.994616i	$-0.466954\pi$
$947$	−5.57771	−	1.10948i	−0.181251	−	0.0360531i	−0.284881	+	0.958563i	$0.591954\pi$
$948$	−1.18508	−	2.11042i	−0.0384895	−	0.0685432i
$949$	−8.59587	−	12.8646i	−0.279034	−	0.417604i
$950$	73.9677	+	43.2962i	2.39983	+	1.40471i
$951$	12.0245			0.389921
$952$	14.7909	−	14.1829i	0.479377	−	0.459671i
$953$	50.4072			1.63285			0.816425	−	0.577451i	$-0.195952\pi$
$953$	50.4072			1.63285			0.816425	+	0.577451i	$0.195952\pi$
$954$	−1.90501	−	1.11508i	−0.0616771	−	0.0361020i
$955$	30.4485	+	45.5694i	0.985290	+	1.47459i
$956$	−44.4388	+	24.9540i	−1.43725	+	0.807070i
$957$	−37.2307	−	7.40565i	−1.20350	−	0.239391i
$958$	1.37508	+	23.0914i	0.0444267	+	0.746050i
$959$	−3.80736	+	0.757331i	−0.122946	+	0.0244555i
$960$	18.4988	+	49.6162i	0.597047	+	1.60136i
$961$	0.153126	−	0.369678i	0.00493954	−	0.0119251i
$962$	−8.16500	−	7.24721i	−0.263250	−	0.233660i
$963$	−3.58208	−	2.39347i	−0.115431	−	0.0771285i
$964$	16.9642	−	33.3888i	0.546379	−	1.07538i
$965$	−27.5564	+	27.5564i	−0.887072	+	0.887072i
$966$	−4.95501	−	1.71506i	−0.159425	−	0.0551812i
$967$	−20.5670	−	49.6531i	−0.661389	−	1.59674i	−0.795628	−	0.605786i	$-0.792859\pi$
$967$	−20.5670	−	49.6531i	−0.661389	−	1.59674i	0.134238	−	0.990949i	$-0.457141\pi$
$968$	−3.76026	−	9.55884i	−0.120859	−	0.307233i
$969$	−0.116585	+	37.9814i	−0.00374525	+	1.22014i
$970$	11.5557	−	8.75790i	0.371032	−	0.281199i
$971$	−6.40801	−	15.4703i	−0.205643	−	0.496466i	0.787085	−	0.616844i	$-0.211589\pi$
$971$	−6.40801	−	15.4703i	−0.205643	−	0.496466i	−0.992728	+	0.120378i	$0.961589\pi$
$972$	−4.87183	+	1.58914i	−0.156264	+	0.0509717i
$973$	−23.9457	−	23.9457i	−0.767663	−	0.767663i
$974$	−12.5001	−	25.7339i	−0.400529	−	0.824568i
$975$	−30.6326	−	20.4681i	−0.981029	−	0.655502i
$976$	7.92076	+	2.90148i	0.253537	+	0.0928740i
$977$	51.9957	+	21.5373i	1.66349	+	0.689040i	0.998336	−	0.0576654i	$-0.0183657\pi$
$977$	51.9957	+	21.5373i	1.66349	+	0.689040i	0.665155	+	0.746706i	$0.268366\pi$
$978$	26.8744	−	7.02925i	0.859348	−	0.224771i
$979$	20.9491	−	4.16704i	0.669537	−	0.133179i
$980$	20.3002	+	23.7133i	0.648465	+	0.757492i
$981$	−0.799012	+	4.01690i	−0.0255105	+	0.128250i
$982$	4.03665	−	29.3080i	0.128815	−	0.935257i
$983$	−20.2455	−	30.2995i	−0.645731	−	0.966404i	−0.999517	−	0.0310779i	$-0.990106\pi$
$983$	−20.2455	−	30.2995i	−0.645731	−	0.966404i	0.353786	−	0.935326i	$-0.384894\pi$
$984$	14.0380	−	13.5439i	0.447516	−	0.431764i
$985$			75.0769i			2.39215i
$986$	−48.6663	−	6.85517i	−1.54985	−	0.218313i
$987$	−8.67871			−0.276246
$988$	−2.68081	−	22.4294i	−0.0852881	−	0.713575i
$989$	8.09928	−	5.41177i	0.257542	−	0.172084i
$990$	0.516545	−	3.75037i	0.0164169	−	0.119195i
$991$	−8.06621	−	1.60447i	−0.256232	−	0.0509677i	0.0653029	−	0.997865i	$-0.479199\pi$
$991$	−8.06621	−	1.60447i	−0.256232	−	0.0509677i	−0.321535	+	0.946898i	$0.604199\pi$
$992$	14.6717	−	27.6394i	0.465827	−	0.877552i
$993$	4.65623	+	23.4085i	0.147761	+	0.742845i
$994$	7.17704	+	27.4394i	0.227642	+	0.870325i
$995$	11.5843	−	27.9669i	0.367246	−	0.886610i
$996$	3.98855	−	51.4343i	0.126382	−	1.62976i
$997$	−15.0804	+	22.5694i	−0.477601	+	0.714780i	−0.989543	−	0.144240i	$-0.953926\pi$
$997$	−15.0804	+	22.5694i	−0.477601	+	0.714780i	0.511942	+	0.859020i	$0.328926\pi$
$998$	5.64428	+	11.6199i	0.178667	+	0.367820i
$999$	14.4570	−	14.4570i	0.457399	−	0.457399i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	136.2.s.c.107.6	yes	112
4.3	odd	2		544.2.cc.c.175.4		112
8.3	odd	2	inner	136.2.s.c.107.13	yes	112
8.5	even	2		544.2.cc.c.175.3		112
17.7	odd	16	inner	136.2.s.c.75.13	yes	112
68.7	even	16		544.2.cc.c.143.3		112
136.75	even	16	inner	136.2.s.c.75.6	✓	112
136.109	odd	16		544.2.cc.c.143.4		112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
136.2.s.c.75.6	✓	112	136.75	even	16	inner
136.2.s.c.75.13	yes	112	17.7	odd	16	inner
136.2.s.c.107.6	yes	112	1.1	even	1	trivial
136.2.s.c.107.13	yes	112	8.3	odd	2	inner
544.2.cc.c.143.3		112	68.7	even	16
544.2.cc.c.143.4		112	136.109	odd	16
544.2.cc.c.175.3		112	8.5	even	2
544.2.cc.c.175.4		112	4.3	odd	2

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:	\( N \)	\(=\)	\( 136 = 2^{3} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	136.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.714407 + 1.22050i) q^{2} +(0.921778 + 1.37954i) q^{3} +(-0.979245 - 1.74387i) q^{4} +(3.91277 + 0.778297i) q^{5} +(-2.34225 + 0.139479i) q^{6} +(-1.72342 + 0.342810i) q^{7} +(2.82797 + 0.0506620i) q^{8} +(0.0945986 - 0.228381i) q^{9} +O(q^{10})\)	\(q+(-0.714407 + 1.22050i) q^{2} +(0.921778 + 1.37954i) q^{3} +(-0.979245 - 1.74387i) q^{4} +(3.91277 + 0.778297i) q^{5} +(-2.34225 + 0.139479i) q^{6} +(-1.72342 + 0.342810i) q^{7} +(2.82797 + 0.0506620i) q^{8} +(0.0945986 - 0.228381i) q^{9} +(-3.74522 + 4.21951i) q^{10} +(-2.25700 - 1.50808i) q^{11} +(1.50309 - 2.95837i) q^{12} +(-1.43844 + 1.43844i) q^{13} +(0.812824 - 2.34834i) q^{14} +(2.53301 + 6.11523i) q^{15} +(-2.08216 + 3.41535i) q^{16} +(-3.43525 + 2.28014i) q^{17} +(0.211158 + 0.278615i) q^{18} +(-2.12471 - 5.12951i) q^{19} +(-2.47431 - 7.58549i) q^{20} +(-2.06153 - 2.06153i) q^{21} +(3.45303 - 1.67729i) q^{22} +(-1.05741 - 0.706536i) q^{23} +(2.53687 + 3.94800i) q^{24} +(10.0846 + 4.17717i) q^{25} +(-0.727987 - 2.78325i) q^{26} +(5.28409 - 1.05107i) q^{27} +(2.28547 + 2.66973i) q^{28} +(1.64434 - 8.26664i) q^{29} +(-9.27324 - 1.27722i) q^{30} +(3.07326 + 4.59945i) q^{31} +(-2.68093 - 4.98123i) q^{32} -4.50373i q^{33} +(-0.328746 - 5.82168i) q^{34} -7.01015 q^{35} +(-0.490902 + 0.0586737i) q^{36} +(3.15531 - 2.10831i) q^{37} +(7.77849 + 1.07134i) q^{38} +(-3.31031 - 0.658462i) q^{39} +(11.0258 + 2.39923i) q^{40} +(-0.810929 - 4.07682i) q^{41} +(3.98887 - 1.04333i) q^{42} +(-2.93119 + 7.07653i) q^{43} +(-0.419735 + 5.41269i) q^{44} +(0.547891 - 0.819977i) q^{45} +(1.61775 - 0.785810i) q^{46} +(2.10492 - 2.10492i) q^{47} +(-6.63090 + 0.275781i) q^{48} +(-3.61450 + 1.49717i) q^{49} +(-12.3027 + 9.32405i) q^{50} +(-6.31208 - 2.63728i) q^{51} +(3.91704 + 1.09987i) q^{52} +(-5.83351 + 2.41632i) q^{53} +(-2.49216 + 7.20013i) q^{54} +(-7.65738 - 7.65738i) q^{55} +(-4.89116 + 0.882145i) q^{56} +(5.11785 - 7.65940i) q^{57} +(8.91471 + 7.91266i) q^{58} +(3.89198 + 1.61211i) q^{59} +(8.18372 - 10.4055i) q^{60} +(-0.411419 - 2.06835i) q^{61} +(-7.80919 + 0.465031i) q^{62} +(-0.0847419 + 0.426026i) q^{63} +(7.99487 + 0.286541i) q^{64} +(-6.74782 + 4.50875i) q^{65} +(5.49681 + 3.21750i) q^{66} -0.474710i q^{67} +(7.34022 + 3.75781i) q^{68} -2.11000i q^{69} +(5.00810 - 8.55589i) q^{70} +(-9.48983 + 6.34090i) q^{71} +(0.279093 - 0.641064i) q^{72} +(-1.48381 + 7.45963i) q^{73} +(0.319020 + 5.35726i) q^{74} +(3.53318 + 17.7625i) q^{75} +(-6.86458 + 8.72828i) q^{76} +(4.40675 + 1.82533i) q^{77} +(3.16856 - 3.56983i) q^{78} +(0.405234 - 0.606476i) q^{79} +(-10.8051 + 11.7429i) q^{80} +(5.79637 + 5.79637i) q^{81} +(5.55509 + 1.92277i) q^{82} +(14.3632 - 5.94945i) q^{83} +(-1.57629 + 5.61378i) q^{84} +(-15.2160 + 6.24801i) q^{85} +(-6.54285 - 8.63305i) q^{86} +(12.9199 - 5.35158i) q^{87} +(-6.30633 - 4.37915i) q^{88} +(-5.56406 + 5.56406i) q^{89} +(0.609365 + 1.25450i) q^{90} +(1.98593 - 2.97215i) q^{91} +(-0.196646 + 2.53585i) q^{92} +(-3.51226 + 8.47935i) q^{93} +(1.06529 + 4.07282i) q^{94} +(-4.32122 - 21.7242i) q^{95} +(4.40057 - 8.29003i) q^{96} +(-2.52059 - 0.501377i) q^{97} +(0.754920 - 5.48109i) q^{98} +(-0.557926 + 0.372794i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9}+O(q^{10}) \) 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9	\( 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9} - 8 q^{10} - 16 q^{11} + 24 q^{12} - 8 q^{14} - 16 q^{17} - 16 q^{18} - 16 q^{19} - 8 q^{20} - 8 q^{22} - 56 q^{24} - 16 q^{25} - 40 q^{26} + 32 q^{27} + 40 q^{28} - 72 q^{30} + 32 q^{32} - 72 q^{34} - 32 q^{35} + 56 q^{36} + 48 q^{38} + 56 q^{40} - 16 q^{41} - 56 q^{42} - 96 q^{43} + 24 q^{44} - 24 q^{46} + 16 q^{48} - 16 q^{49} - 16 q^{51} - 16 q^{52} - 24 q^{54} + 32 q^{56} + 32 q^{57} + 48 q^{58} - 16 q^{59} + 96 q^{60} + 48 q^{62} + 40 q^{64} + 64 q^{65} - 16 q^{66} + 80 q^{68} + 64 q^{70} + 96 q^{72} - 96 q^{73} + 40 q^{74} - 16 q^{75} + 48 q^{76} + 96 q^{78} + 8 q^{80} - 96 q^{81} + 32 q^{82} + 128 q^{83} + 64 q^{86} - 72 q^{88} - 16 q^{89} + 152 q^{90} - 16 q^{91} - 120 q^{92} + 88 q^{94} - 160 q^{96} - 16 q^{97} + 128 q^{98} + 48 q^{99}+O(q^{100}) \) 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9 - 8 * q^10 - 16 * q^11 + 24 * q^12 - 8 * q^14 - 16 * q^17 - 16 * q^18 - 16 * q^19 - 8 * q^20 - 8 * q^22 - 56 * q^24 - 16 * q^25 - 40 * q^26 + 32 * q^27 + 40 * q^28 - 72 * q^30 + 32 * q^32 - 72 * q^34 - 32 * q^35 + 56 * q^36 + 48 * q^38 + 56 * q^40 - 16 * q^41 - 56 * q^42 - 96 * q^43 + 24 * q^44 - 24 * q^46 + 16 * q^48 - 16 * q^49 - 16 * q^51 - 16 * q^52 - 24 * q^54 + 32 * q^56 + 32 * q^57 + 48 * q^58 - 16 * q^59 + 96 * q^60 + 48 * q^62 + 40 * q^64 + 64 * q^65 - 16 * q^66 + 80 * q^68 + 64 * q^70 + 96 * q^72 - 96 * q^73 + 40 * q^74 - 16 * q^75 + 48 * q^76 + 96 * q^78 + 8 * q^80 - 96 * q^81 + 32 * q^82 + 128 * q^83 + 64 * q^86 - 72 * q^88 - 16 * q^89 + 152 * q^90 - 16 * q^91 - 120 * q^92 + 88 * q^94 - 160 * q^96 - 16 * q^97 + 128 * q^98 + 48 * q^99

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