LMFDB - Embedded newform 165.2.w.a.7.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(7,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 14]))

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

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

chi := DirichletCharacter("165.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.w (of order $20$, 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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$12$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			7.3
Character	$\chi$	$=$	165.7
Dual form			165.2.w.a.118.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.44976 + 0.229620i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(0.146976 - 0.0477555i) q^{4} +(2.19714 + 0.415419i) q^{5} +(0.862772 + 1.18750i) q^{6} +(-3.00927 - 1.53330i) q^{7} +(2.41359 - 1.22978i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(-1.44976 + 0.229620i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(0.146976 - 0.0477555i) q^{4} +(2.19714 + 0.415419i) q^{5} +(0.862772 + 1.18750i) q^{6} +(-3.00927 - 1.53330i) q^{7} +(2.41359 - 1.22978i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-3.28072 - 0.0977516i) q^{10} +(2.26120 - 2.42631i) q^{11} +(-0.109276 - 0.109276i) q^{12} +(-0.348725 - 2.20177i) q^{13} +(4.71481 + 1.53193i) q^{14} +(-0.627340 - 2.14626i) q^{15} +(-3.46680 + 2.51878i) q^{16} +(1.18041 - 7.45283i) q^{17} +(0.666383 - 1.30785i) q^{18} +(1.52958 - 4.70756i) q^{19} +(0.342766 - 0.0438688i) q^{20} +3.37739i q^{21} +(-2.72107 + 4.03679i) q^{22} +(-1.25082 + 1.25082i) q^{23} +(-2.19149 - 1.59221i) q^{24} +(4.65485 + 1.82547i) q^{25} +(1.01114 + 3.11197i) q^{26} +(0.987688 + 0.156434i) q^{27} +(-0.515515 - 0.0816496i) q^{28} +(3.12055 + 9.60405i) q^{29} +(1.40232 + 2.96752i) q^{30} +(-3.17321 - 2.30548i) q^{31} +(0.616810 - 0.616810i) q^{32} +(-3.18842 - 0.913221i) q^{33} +11.0759i q^{34} +(-5.97483 - 4.61899i) q^{35} +(-0.0477555 + 0.146976i) q^{36} +(-2.28746 + 4.48940i) q^{37} +(-1.13658 + 7.17607i) q^{38} +(-1.80347 + 1.31030i) q^{39} +(5.81386 - 1.69936i) q^{40} +(-0.102313 - 0.0332436i) q^{41} +(-0.775515 - 4.89641i) q^{42} +(-0.770874 - 0.770874i) q^{43} +(0.216473 - 0.464595i) q^{44} +(-1.62753 + 1.53335i) q^{45} +(1.52618 - 2.10061i) q^{46} +(-6.16391 + 3.14067i) q^{47} +(3.81814 + 1.94544i) q^{48} +(2.59021 + 3.56512i) q^{49} +(-7.16760 - 1.57765i) q^{50} +(-7.17642 + 2.33176i) q^{51} +(-0.156401 - 0.306954i) q^{52} +(10.5092 - 1.66449i) q^{53} -1.46784 q^{54} +(5.97611 - 4.39160i) q^{55} -9.14877 q^{56} +(-4.88888 + 0.774323i) q^{57} +(-6.72934 - 13.2071i) q^{58} +(2.10795 - 0.684914i) q^{59} +(-0.194700 - 0.285491i) q^{60} +(0.843097 + 1.16042i) q^{61} +(5.12979 + 2.61376i) q^{62} +(3.00927 - 1.53330i) q^{63} +(4.28495 - 5.89773i) q^{64} +(0.148456 - 4.98246i) q^{65} +(4.83215 + 0.591830i) q^{66} +(6.18518 + 6.18518i) q^{67} +(-0.182421 - 1.15176i) q^{68} +(1.68235 + 0.546629i) q^{69} +(9.72271 + 5.32450i) q^{70} +(8.04991 - 5.84860i) q^{71} +(-0.423755 + 2.67548i) q^{72} +(-5.63303 + 11.0554i) q^{73} +(2.28542 - 7.03381i) q^{74} +(-0.486757 - 4.97625i) q^{75} -0.764946i q^{76} +(-10.5248 + 3.83433i) q^{77} +(2.31373 - 2.31373i) q^{78} +(-5.32349 - 3.86774i) q^{79} +(-8.66339 + 4.09393i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(0.155963 + 0.0247022i) q^{82} +(-1.56158 - 0.247330i) q^{83} +(0.161289 + 0.496396i) q^{84} +(5.68958 - 15.8845i) q^{85} +(1.29459 + 0.940578i) q^{86} +(7.14057 - 7.14057i) q^{87} +(2.47376 - 8.63689i) q^{88} -7.52065i q^{89} +(2.00744 - 2.59670i) q^{90} +(-2.32656 + 7.16041i) q^{91} +(-0.124107 + 0.243575i) q^{92} +(-0.613584 + 3.87402i) q^{93} +(8.21506 - 5.96859i) q^{94} +(5.31631 - 9.70775i) q^{95} +(-0.829608 - 0.269556i) q^{96} +(-0.200803 - 1.26782i) q^{97} +(-4.57382 - 4.57382i) q^{98} +(0.633827 + 3.25550i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) $ 96 * q - 8 * q^5 - 20 * q^7	$ 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) $ 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$1$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	−1.44976	+	0.229620i	−1.02514	+	0.162366i	−0.646289	−	0.763093i	$-0.723680\pi$
$2$	−1.44976	+	0.229620i	−1.02514	+	0.162366i	−0.378849	+	0.925459i	$0.623680\pi$
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$4$	0.146976	−	0.0477555i	0.0734882	−	0.0238778i
$5$	2.19714	+	0.415419i	0.982591	+	0.185781i
$5$	2.19714	+	0.415419i	0.982591	+	0.185781i
$6$	0.862772	+	1.18750i	0.352225	+	0.484796i
$7$	−3.00927	−	1.53330i	−1.13740	−	0.579533i	−0.219210	−	0.975678i	$-0.570348\pi$
$7$	−3.00927	−	1.53330i	−1.13740	−	0.579533i	−0.918188	+	0.396144i	$0.870348\pi$
$8$	2.41359	−	1.22978i	0.853332	−	0.434794i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	−3.28072	−	0.0977516i	−1.03746	−	0.0309118i
$11$	2.26120	−	2.42631i	0.681777	−	0.731560i
$11$	2.26120	−	2.42631i	0.681777	−	0.731560i
$12$	−0.109276	−	0.109276i	−0.0315454	−	0.0315454i
$13$	−0.348725	−	2.20177i	−0.0967190	−	0.610660i	−0.987669	−	0.156558i	$-0.949960\pi$
$13$	−0.348725	−	2.20177i	−0.0967190	−	0.610660i	0.890950	−	0.454102i	$-0.150040\pi$
$14$	4.71481	+	1.53193i	1.26009	+	0.409427i
$15$	−0.627340	−	2.14626i	−0.161979	−	0.554163i
$16$	−3.46680	+	2.51878i	−0.866699	+	0.629694i
$17$	1.18041	−	7.45283i	0.286292	−	1.80758i	−0.255219	−	0.966883i	$-0.582148\pi$
$17$	1.18041	−	7.45283i	0.286292	−	1.80758i	0.541511	−	0.840693i	$-0.317852\pi$
$18$	0.666383	−	1.30785i	0.157068	−	0.308263i
$19$	1.52958	−	4.70756i	0.350909	−	1.07999i	−0.607434	−	0.794370i	$-0.707801\pi$
$19$	1.52958	−	4.70756i	0.350909	−	1.07999i	0.958344	−	0.285618i	$-0.0921989\pi$
$20$	0.342766	−	0.0438688i	0.0766449	−	0.00980937i
$21$			3.37739i			0.737006i
$22$	−2.72107	+	4.03679i	−0.580135	+	0.860647i
$23$	−1.25082	+	1.25082i	−0.260814	+	0.260814i	−0.825385	−	0.564571i	$-0.809042\pi$
$23$	−1.25082	+	1.25082i	−0.260814	+	0.260814i	0.564571	+	0.825385i	$0.309042\pi$
$24$	−2.19149	−	1.59221i	−0.447336	−	0.325009i
$25$	4.65485	+	1.82547i	0.930971	+	0.365093i
$26$	1.01114	+	3.11197i	0.198301	+	0.610307i
$27$	0.987688	+	0.156434i	0.190081	+	0.0301058i
$28$	−0.515515	−	0.0816496i	−0.0974233	−	0.0154303i
$29$	3.12055	+	9.60405i	0.579471	+	1.78343i	0.620424	+	0.784266i	$0.286960\pi$
$29$	3.12055	+	9.60405i	0.579471	+	1.78343i	−0.0409534	+	0.999161i	$0.513040\pi$
$30$	1.40232	+	2.96752i	0.256027	+	0.541793i
$31$	−3.17321	−	2.30548i	−0.569926	−	0.414076i	0.265152	−	0.964207i	$-0.414578\pi$
$31$	−3.17321	−	2.30548i	−0.569926	−	0.414076i	−0.835078	+	0.550131i	$0.814578\pi$
$32$	0.616810	−	0.616810i	0.109038	−	0.109038i
$33$	−3.18842	−	0.913221i	−0.555033	−	0.158971i
$34$			11.0759i			1.89950i
$35$	−5.97483	−	4.61899i	−1.00993	−	0.780751i
$36$	−0.0477555	+	0.146976i	−0.00795925	+	0.0244961i
$37$	−2.28746	+	4.48940i	−0.376056	+	0.738052i	−0.999023	−	0.0441963i	$-0.985927\pi$
$37$	−2.28746	+	4.48940i	−0.376056	+	0.738052i	0.622966	+	0.782249i	$0.285927\pi$
$38$	−1.13658	+	7.17607i	−0.184377	+	1.16411i
$39$	−1.80347	+	1.31030i	−0.288786	+	0.209816i
$40$	5.81386	−	1.69936i	0.919253	−	0.268692i
$41$	−0.102313	−	0.0332436i	−0.0159786	−	0.00519178i	0.301017	−	0.953619i	$-0.402674\pi$
$41$	−0.102313	−	0.0332436i	−0.0159786	−	0.00519178i	−0.316995	+	0.948427i	$0.602674\pi$
$42$	−0.775515	−	4.89641i	−0.119665	−	0.755533i
$43$	−0.770874	−	0.770874i	−0.117557	−	0.117557i	0.645881	−	0.763438i	$-0.276490\pi$
$43$	−0.770874	−	0.770874i	−0.117557	−	0.117557i	−0.763438	+	0.645881i	$0.776490\pi$
$44$	0.216473	−	0.464595i	0.0326345	−	0.0700403i
$45$	−1.62753	+	1.53335i	−0.242618	+	0.228578i
$46$	1.52618	−	2.10061i	0.225023	−	0.309718i
$47$	−6.16391	+	3.14067i	−0.899099	+	0.458114i	−0.841519	−	0.540227i	$-0.818338\pi$
$47$	−6.16391	+	3.14067i	−0.899099	+	0.458114i	−0.0575797	+	0.998341i	$0.518338\pi$
$48$	3.81814	+	1.94544i	0.551101	+	0.280800i
$49$	2.59021	+	3.56512i	0.370030	+	0.509303i
$50$	−7.16760	−	1.57765i	−1.01365	−	0.223113i
$51$	−7.17642	+	2.33176i	−1.00490	+	0.326512i
$52$	−0.156401	−	0.306954i	−0.0216889	−	0.0425669i
$53$	10.5092	−	1.66449i	1.44355	−	0.228635i	0.614987	−	0.788538i	$-0.289161\pi$
$53$	10.5092	−	1.66449i	1.44355	−	0.228635i	0.828558	+	0.559903i	$0.189161\pi$
$54$	−1.46784			−0.199747
$55$	5.97611	−	4.39160i	0.805818	−	0.592163i
$56$	−9.14877			−1.22256
$57$	−4.88888	+	0.774323i	−0.647548	+	0.102562i
$58$	−6.72934	−	13.2071i	−0.883605	−	1.73417i
$59$	2.10795	−	0.684914i	0.274432	−	0.0891682i	−0.168568	−	0.985690i	$-0.553914\pi$
$59$	2.10795	−	0.684914i	0.274432	−	0.0891682i	0.443000	+	0.896522i	$0.353914\pi$
$60$	−0.194700	−	0.285491i	−0.0251357	−	0.0368567i
$61$	0.843097	+	1.16042i	0.107948	+	0.148577i	0.859573	−	0.511013i	$-0.170730\pi$
$61$	0.843097	+	1.16042i	0.107948	+	0.148577i	−0.751625	+	0.659590i	$0.770730\pi$
$62$	5.12979	+	2.61376i	0.651485	+	0.331948i
$63$	3.00927	−	1.53330i	0.379133	−	0.193178i
$64$	4.28495	−	5.89773i	0.535619	−	0.737217i
$65$	0.148456	−	4.98246i	0.0184137	−	0.617998i
$66$	4.83215	+	0.591830i	0.594797	+	0.0728492i
$67$	6.18518	+	6.18518i	0.755640	+	0.755640i	0.975526	−	0.219885i	$-0.0705683\pi$
$67$	6.18518	+	6.18518i	0.755640	+	0.755640i	−0.219885	+	0.975526i	$0.570568\pi$
$68$	−0.182421	−	1.15176i	−0.0221218	−	0.139672i
$69$	1.68235	+	0.546629i	0.202531	+	0.0658063i
$70$	9.72271	+	5.32450i	1.16209	+	0.636399i
$71$	8.04991	−	5.84860i	0.955348	−	0.694101i	0.00328246	−	0.999995i	$-0.498955\pi$
$71$	8.04991	−	5.84860i	0.955348	−	0.694101i	0.952066	+	0.305894i	$0.0989552\pi$
$72$	−0.423755	+	2.67548i	−0.0499399	+	0.315308i
$73$	−5.63303	+	11.0554i	−0.659296	+	1.29394i	0.282986	+	0.959124i	$0.408675\pi$
$73$	−5.63303	+	11.0554i	−0.659296	+	1.29394i	−0.942283	+	0.334818i	$0.891325\pi$
$74$	2.28542	−	7.03381i	0.265675	−	0.817664i
$75$	−0.486757	−	4.97625i	−0.0562058	−	0.574608i
$76$		−	0.764946i		−	0.0877453i
$77$	−10.5248	+	3.83433i	−1.19942	+	0.436962i
$78$	2.31373	−	2.31373i	0.261979	−	0.261979i
$79$	−5.32349	−	3.86774i	−0.598939	−	0.435155i	0.246563	−	0.969127i	$-0.420699\pi$
$79$	−5.32349	−	3.86774i	−0.598939	−	0.435155i	−0.845502	+	0.533972i	$0.820699\pi$
$80$	−8.66339	+	4.09393i	−0.968596	+	0.457716i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	0.155963	+	0.0247022i	0.0172233	+	0.00272790i
$83$	−1.56158	−	0.247330i	−0.171406	−	0.0271480i	0.0701416	−	0.997537i	$-0.477655\pi$
$83$	−1.56158	−	0.247330i	−0.171406	−	0.0271480i	−0.241547	+	0.970389i	$0.577655\pi$
$84$	0.161289	+	0.496396i	0.0175980	+	0.0541612i
$85$	5.68958	−	15.8845i	0.617121	−	1.72292i
$86$	1.29459	+	0.940578i	0.139600	+	0.101425i
$87$	7.14057	−	7.14057i	0.765550	−	0.765550i
$88$	2.47376	−	8.63689i	0.263704	−	0.920696i
$89$		−	7.52065i		−	0.797188i	−0.917128	−	0.398594i	$-0.869498\pi$
$89$		−	7.52065i		−	0.797188i	0.917128	−	0.398594i	$-0.130502\pi$
$90$	2.00744	−	2.59670i	0.211603	−	0.273717i
$91$	−2.32656	+	7.16041i	−0.243890	+	0.750615i
$92$	−0.124107	+	0.243575i	−0.0129391	+	0.0253944i
$93$	−0.613584	+	3.87402i	−0.0636257	+	0.401717i
$94$	8.21506	−	5.96859i	0.847318	−	0.615613i
$95$	5.31631	−	9.70775i	0.545442	−	0.995995i
$96$	−0.829608	−	0.269556i	−0.0846715	−	0.0275114i
$97$	−0.200803	−	1.26782i	−0.0203884	−	0.128727i	0.975395	−	0.220466i	$-0.0707577\pi$
$97$	−0.200803	−	1.26782i	−0.0203884	−	0.128727i	−0.995783	+	0.0917383i	$0.970758\pi$
$98$	−4.57382	−	4.57382i	−0.462026	−	0.462026i
$99$	0.633827	+	3.25550i	0.0637020	+	0.327190i
$100$	0.771330	+	0.0460055i	0.0771330	+	0.00460055i
$101$	0.211450	−	0.291036i	0.0210400	−	0.0289591i	−0.798367	−	0.602171i	$-0.794303\pi$
$101$	0.211450	−	0.291036i	0.0210400	−	0.0289591i	0.819407	+	0.573212i	$0.194303\pi$
$102$	9.86869	−	5.02835i	0.977146	−	0.497881i
$103$	2.90362	+	1.47947i	0.286102	+	0.145776i	0.591152	−	0.806560i	$-0.298673\pi$
$103$	2.90362	+	1.47947i	0.286102	+	0.145776i	−0.305050	+	0.952336i	$0.598673\pi$
$104$	−3.54937	−	4.88529i	−0.348045	−	0.479043i
$105$	−1.40303	+	7.42059i	−0.136922	+	0.724176i
$106$	−14.8536	+	4.82623i	−1.44271	+	0.468765i
$107$	2.20171	+	4.32111i	0.212848	+	0.417737i	0.972603	−	0.232472i	$-0.0746814\pi$
$107$	2.20171	+	4.32111i	0.212848	+	0.417737i	−0.759755	+	0.650209i	$0.774681\pi$
$108$	0.152637	−	0.0241754i	0.0146875	−	0.00232628i
$109$	−10.9215			−1.04609			−0.523046	−	0.852304i	$-0.675204\pi$
$109$	−10.9215			−1.04609			−0.523046	+	0.852304i	$0.675204\pi$
$110$	−7.65554	+	7.73902i	−0.729927	+	0.737886i
$111$	5.03857			0.478240
$112$	14.2946	−	2.26404i	1.35071	−	0.213932i
$113$	2.22070	+	4.35837i	0.208906	+	0.410001i	0.971556	−	0.236811i	$-0.0761021\pi$
$113$	2.22070	+	4.35837i	0.208906	+	0.410001i	−0.762650	+	0.646811i	$0.776102\pi$
$114$	6.90992	−	2.24517i	0.647173	−	0.210279i
$115$	−3.26784	+	2.22861i	−0.304728	+	0.207819i
$116$	0.917293	+	1.26255i	0.0851685	+	0.117224i
$117$	1.98624	+	1.01204i	0.183628	+	0.0935632i
$118$	−2.89876	+	1.47699i	−0.266852	+	0.135968i
$119$	−14.9796	+	20.6177i	−1.37318	+	1.89002i
$120$	−4.15358	−	4.40870i	−0.379168	−	0.402457i
$121$	−0.773961	−	10.9727i	−0.0703601	−	0.997522i
$122$	−1.48875	−	1.48875i	−0.134785	−	0.134785i
$123$	0.0168290	+	0.106254i	0.00151742	+	0.00958061i
$124$	−0.576487	−	0.187312i	−0.0517700	−	0.0168211i
$125$	9.46904	+	5.94452i	0.846936	+	0.531694i
$126$	−4.01066	+	2.91391i	−0.357298	+	0.259592i
$127$	−2.10091	+	13.2646i	−0.186425	+	1.17704i	0.699990	+	0.714153i	$0.253188\pi$
$127$	−2.10091	+	13.2646i	−0.186425	+	1.17704i	−0.886415	+	0.462891i	$0.846812\pi$
$128$	−5.64997	+	11.0887i	−0.499391	+	0.980111i
$129$	−0.336884	+	1.03682i	−0.0296610	+	0.0912872i
$130$	0.928845	+	7.25747i	0.0814651	+	0.636522i
$131$			8.43750i			0.737187i	0.929591	+	0.368594i	$0.120161\pi$
$131$			8.43750i			0.737187i	−0.929591	+	0.368594i	$0.879839\pi$
$132$	−0.512234	+	0.0180428i	−0.0445842	+	0.00157042i
$133$	−11.8210	+	11.8210i	−1.02501	+	1.02501i
$134$	−10.3873	−	7.54681i	−0.897326	−	0.651945i
$135$	2.10510	+	0.754013i	0.181179	+	0.0648951i
$136$	−6.31634	−	19.4397i	−0.541622	−	1.66694i
$137$	8.81548	+	1.39624i	0.753157	+	0.119288i	0.521197	−	0.853437i	$-0.325486\pi$
$137$	8.81548	+	1.39624i	0.753157	+	0.119288i	0.231961	+	0.972725i	$0.425486\pi$
$138$	−2.56453	−	0.406181i	−0.218307	−	0.0345764i
$139$	−1.30269	−	4.00928i	−0.110493	−	0.340063i	0.880487	−	0.474070i	$-0.157216\pi$
$139$	−1.30269	−	4.00928i	−0.110493	−	0.340063i	−0.990980	+	0.134007i	$0.957216\pi$
$140$	−1.09874	−	0.393551i	−0.0928606	−	0.0332611i
$141$	5.59672	+	4.06625i	0.471328	+	0.342440i
$142$	−10.3275	+	10.3275i	−0.866665	+	0.866665i
$143$	−6.13070	−	4.13251i	−0.512675	−	0.345578i
$144$		−	4.28520i		−	0.357100i
$145$	2.86657	+	22.3978i	0.238056	+	1.86003i
$146$	5.62801	−	17.3212i	0.465778	−	1.43352i
$147$	2.00062	−	3.92643i	0.165008	−	0.323846i
$148$	−0.121809	+	0.769074i	−0.0100127	+	0.0632175i
$149$	−2.45364	+	1.78268i	−0.201010	+	0.146043i	−0.683737	−	0.729728i	$-0.739646\pi$
$149$	−2.45364	+	1.78268i	−0.201010	+	0.146043i	0.482727	+	0.875771i	$0.339646\pi$
$150$	1.84833	+	7.10262i	0.150915	+	0.579926i
$151$	8.69093	+	2.82385i	0.707257	+	0.229802i	0.640490	−	0.767967i	$-0.278731\pi$
$151$	8.69093	+	2.82385i	0.707257	+	0.229802i	0.0667677	+	0.997769i	$0.478731\pi$
$152$	−2.09751	−	13.2432i	−0.170130	−	1.07416i
$153$	5.33564	+	5.33564i	0.431361	+	0.431361i
$154$	14.3781	−	7.97558i	1.15862	−	0.642691i
$155$	−6.01426	−	6.38367i	−0.483077	−	0.512748i
$156$	−0.202493	+	0.278708i	−0.0162125	+	0.0223145i
$157$	−2.27672	+	1.16005i	−0.181702	+	0.0925818i	−0.542475	−	0.840072i	$-0.682513\pi$
$157$	−2.27672	+	1.16005i	−0.181702	+	0.0925818i	0.360773	+	0.932654i	$0.382513\pi$
$158$	8.60591	+	4.38493i	0.684649	+	0.348846i
$159$	−6.25413	−	8.60807i	−0.495985	−	0.682665i
$160$	1.61145	−	1.09898i	0.127397	−	0.0868824i
$161$	5.68194	−	1.84618i	0.447800	−	0.145499i
$162$	0.666383	+	1.30785i	0.0523560	+	0.102754i
$163$	3.65248	−	0.578496i	0.286084	−	0.0453113i	−0.0117431	−	0.999931i	$-0.503738\pi$
$163$	3.65248	−	0.578496i	0.286084	−	0.0453113i	0.297827	+	0.954620i	$0.403738\pi$
$164$	−0.0166252			−0.00129821
$165$	−6.62604	−	3.33101i	−0.515837	−	0.259318i
$166$	2.32071			0.180122
$167$	9.23851	−	1.46324i	0.714898	−	0.113229i	0.211618	−	0.977352i	$-0.432127\pi$
$167$	9.23851	−	1.46324i	0.714898	−	0.113229i	0.503279	+	0.864124i	$0.332127\pi$
$168$	4.15345	+	8.15161i	0.320446	+	0.628910i
$169$	7.63757	−	2.48160i	0.587505	−	0.190892i
$170$	−4.60113	+	24.3353i	−0.352891	+	1.86643i
$171$	2.90943	+	4.00449i	0.222490	+	0.306231i
$172$	−0.150114	−	0.0764868i	−0.0114461	−	0.00583206i
$173$	−2.47239	+	1.25974i	−0.187972	+	0.0957765i	−0.545444	−	0.838147i	$-0.683639\pi$
$173$	−2.47239	+	1.25974i	−0.187972	+	0.0957765i	0.357472	+	0.933924i	$0.383639\pi$
$174$	−8.71253	+	11.9918i	−0.660495	+	0.909093i
$175$	−11.2087	−	12.6306i	−0.847301	−	0.954785i
$176$	−1.72779	+	14.1070i	−0.130237	+	1.06335i
$177$	−1.56725	−	1.56725i	−0.117802	−	0.117802i
$178$	1.72689	+	10.9032i	0.129436	+	0.817227i
$179$	3.02948	+	0.984339i	0.226434	+	0.0735730i	0.420037	−	0.907507i	$-0.362017\pi$
$179$	3.02948	+	0.984339i	0.226434	+	0.0735730i	−0.193602	+	0.981080i	$0.562017\pi$
$180$	−0.165982	+	0.303089i	−0.0123716	+	0.0225909i
$181$	16.2291	−	11.7911i	1.20630	−	0.876427i	0.211409	−	0.977398i	$-0.432195\pi$
$181$	16.2291	−	11.7911i	1.20630	−	0.876427i	0.994889	+	0.100971i	$0.0321948\pi$
$182$	1.72879	−	10.9151i	0.128146	−	0.809084i
$183$	0.651187	−	1.27803i	0.0481371	−	0.0944745i
$184$	−1.48072	+	4.55720i	−0.109160	+	0.335961i
$185$	−6.89085	+	8.91358i	−0.506626	+	0.655339i
$186$		−	5.75730i		−	0.422146i
$187$	−15.4137	−	19.7164i	−1.12716	−	1.44180i
$188$	−0.755965	+	0.755965i	−0.0551344	+	0.0551344i
$189$	−2.73236	−	1.98518i	−0.198750	−	0.144400i
$190$	−5.47830	+	15.2947i	−0.397437	+	1.10959i
$191$	6.75705	+	20.7961i	0.488923	+	1.50475i	0.826217	+	0.563352i	$0.190488\pi$
$191$	6.75705	+	20.7961i	0.488923	+	1.50475i	−0.337294	+	0.941399i	$0.609512\pi$
$192$	−7.20025	−	1.14041i	−0.519633	−	0.0823018i
$193$	−6.39701	−	1.01319i	−0.460467	−	0.0729308i	−0.0781086	−	0.996945i	$-0.524888\pi$
$193$	−6.39701	−	1.01319i	−0.460467	−	0.0729308i	−0.382359	+	0.924014i	$0.624888\pi$
$194$	0.582232	+	1.79193i	0.0418019	+	0.128653i
$195$	−4.50680	+	2.12971i	−0.322739	+	0.152512i
$196$	0.550954	+	0.400292i	0.0393539	+	0.0285923i
$197$	12.3663	−	12.3663i	0.881062	−	0.881062i	−0.112581	−	0.993643i	$-0.535912\pi$
$197$	12.3663	−	12.3663i	0.881062	−	0.881062i	0.993643	+	0.112581i	$0.0359117\pi$
$198$	−1.66643	−	4.57416i	−0.118428	−	0.325072i
$199$			0.929697i			0.0659044i	0.999457	+	0.0329522i	$0.0104909\pi$
$199$			0.929697i			0.0659044i	−0.999457	+	0.0329522i	$0.989509\pi$
$200$	13.4798	−	1.31854i	0.953167	−	0.0932349i
$201$	2.70302	−	8.31905i	0.190657	−	0.586781i
$202$	−0.239724	+	0.470486i	−0.0168670	+	0.0331033i
$203$	5.33533	−	33.6859i	0.374467	−	2.36429i
$204$	−0.943409	+	0.685427i	−0.0660518	+	0.0479895i
$205$	−0.210987	−	0.115544i	−0.0147359	−	0.00806992i
$206$	−4.54927	−	1.47815i	−0.316963	−	0.102987i
$207$	−0.276721	−	1.74715i	−0.0192335	−	0.121435i
$208$	6.75472	+	6.75472i	0.468355	+	0.468355i
$209$	−7.96332	−	14.3560i	−0.550834	−	0.993023i
$210$	0.330145	−	11.0803i	0.0227822	−	0.764611i
$211$	8.68225	−	11.9501i	0.597711	−	0.822678i	−0.397786	−	0.917478i	$-0.630221\pi$
$211$	8.68225	−	11.9501i	0.597711	−	0.822678i	0.995496	+	0.0948003i	$0.0302213\pi$
$212$	1.46511	−	0.746511i	0.100624	−	0.0512706i
$213$	−8.86572	−	4.51731i	−0.607469	−	0.309521i
$214$	−4.18418	−	5.75903i	−0.286024	−	0.393679i
$215$	−1.37348	−	2.01396i	−0.0936708	−	0.137351i
$216$	2.57625	−	0.837075i	0.175292	−	0.0569557i
$217$	6.01408	+	11.8033i	0.408262	+	0.801260i
$218$	15.8336	−	2.50780i	1.07239	−	0.169850i
$219$	12.4078			0.838442
$220$	0.668623	−	0.930853i	0.0450786	−	0.0627581i
$221$	−16.8210			−1.13150
$222$	−7.30473	+	1.15696i	−0.490261	+	0.0776498i
$223$	−2.56782	−	5.03963i	−0.171954	−	0.337479i	0.788906	−	0.614514i	$-0.210648\pi$
$223$	−2.56782	−	5.03963i	−0.171954	−	0.337479i	−0.960860	+	0.277036i	$0.910648\pi$
$224$	−2.80191	+	0.910395i	−0.187210	+	0.0608283i
$225$	−4.21289	+	2.69287i	−0.280859	+	0.179525i
$226$	−4.22026	−	5.80869i	−0.280727	−	0.386388i
$227$	−11.3116	−	5.76355i	−0.750777	−	0.382540i	0.0363435	−	0.999339i	$-0.488429\pi$
$227$	−11.3116	−	5.76355i	−0.750777	−	0.382540i	−0.787120	+	0.616799i	$0.788429\pi$
$228$	−0.681572	+	0.347278i	−0.0451382	+	0.0229991i
$229$	−12.2112	+	16.8073i	−0.806941	+	1.11066i	0.184847	+	0.982767i	$0.440821\pi$
$229$	−12.2112	+	16.8073i	−0.806941	+	1.11066i	−0.991788	+	0.127892i	$0.959179\pi$
$230$	4.22587	−	3.98133i	0.278645	−	0.262521i
$231$	8.19458	+	7.63694i	0.539164	+	0.502474i
$232$	19.3426	+	19.3426i	1.26990	+	1.26990i
$233$	2.48179	+	15.6694i	0.162587	+	1.02654i	0.925144	+	0.379616i	$0.123944\pi$
$233$	2.48179	+	15.6694i	0.162587	+	1.02654i	−0.762557	+	0.646921i	$0.776056\pi$
$234$	−3.11197	−	1.01114i	−0.203436	−	0.0661002i
$235$	−14.8477	+	4.33989i	−0.968556	+	0.283103i
$236$	0.277110	−	0.201332i	0.0180383	−	0.0131056i
$237$	−1.02937	+	6.49918i	−0.0668647	+	0.422167i
$238$	16.9827	−	33.3304i	1.10082	−	2.16049i
$239$	−0.788000	+	2.42521i	−0.0509715	+	0.156874i	−0.973302	−	0.229527i	$-0.926282\pi$
$239$	−0.788000	+	2.42521i	−0.0509715	+	0.156874i	0.922331	+	0.386401i	$0.126282\pi$
$240$	7.58082	+	5.86053i	0.489340	+	0.378296i
$241$			13.8408i			0.891567i	0.895141	+	0.445783i	$0.147075\pi$
$241$			13.8408i			0.891567i	−0.895141	+	0.445783i	$0.852925\pi$
$242$	3.64162	+	15.7302i	0.234092	+	1.01117i
$243$	−0.707107	+	0.707107i	−0.0453609	+	0.0453609i
$244$	0.179332	+	0.130292i	0.0114806	+	0.00834111i
$245$	4.21004	+	8.90910i	0.268970	+	0.569181i
$246$	−0.0487961	−	0.150179i	−0.00311113	−	0.00957506i
$247$	−10.8983	−	1.72613i	−0.693445	−	0.109831i
$248$	−10.4941	−	1.66210i	−0.666374	−	0.105543i
$249$	0.488570	+	1.50366i	0.0309619	+	0.0952908i
$250$	−15.0928	−	6.44387i	−0.954555	−	0.407546i
$251$	−5.75344	−	4.18012i	−0.363154	−	0.263847i	0.391212	−	0.920300i	$-0.372056\pi$
$251$	−5.75344	−	4.18012i	−0.363154	−	0.263847i	−0.754366	+	0.656454i	$0.772056\pi$
$252$	0.369068	−	0.369068i	0.0232491	−	0.0232491i
$253$	0.206525	+	5.86323i	0.0129841	+	0.368618i
$254$		−	19.7130i		−	1.23690i
$255$	−16.7363	+	2.14198i	−1.04806	+	0.134136i
$256$	1.13947	−	3.50691i	0.0712166	−	0.219182i
$257$	11.1446	−	21.8726i	0.695183	−	1.36437i	−0.225570	−	0.974227i	$-0.572424\pi$
$257$	11.1446	−	21.8726i	0.695183	−	1.36437i	0.920753	−	0.390146i	$-0.127576\pi$
$258$	0.250327	−	1.58050i	0.0155847	−	0.0983979i
$259$	13.7672	−	10.0024i	0.855452	−	0.621522i
$260$	−0.216120	−	0.739393i	−0.0134032	−	0.0458552i
$261$	−9.60405	−	3.12055i	−0.594476	−	0.193157i
$262$	−1.93742	−	12.2324i	−0.119694	−	0.755719i
$263$	11.4912	+	11.4912i	0.708578	+	0.708578i	0.966236	−	0.257658i	$-0.0829509\pi$
$263$	11.4912	+	11.4912i	0.708578	+	0.708578i	−0.257658	+	0.966236i	$0.582951\pi$
$264$	−8.81859	+	1.71693i	−0.542747	+	0.105670i
$265$	23.7816	+	0.708590i	1.46089	+	0.0435283i
$266$	14.4233	−	19.8520i	0.884352	−	1.21721i
$267$	−6.70095	+	3.41431i	−0.410092	+	0.208952i
$268$	1.20445	+	0.613699i	0.0735736	+	0.0374876i
$269$	4.50704	+	6.20340i	0.274799	+	0.378228i	0.924002	−	0.382387i	$-0.124898\pi$
$269$	4.50704	+	6.20340i	0.274799	+	0.378228i	−0.649204	+	0.760615i	$0.724898\pi$
$270$	−3.22504	−	0.609766i	−0.196270	−	0.0371092i
$271$	6.73892	−	2.18961i	0.409360	−	0.133009i	−0.0970957	−	0.995275i	$-0.530955\pi$
$271$	6.73892	−	2.18961i	0.409360	−	0.133009i	0.506456	+	0.862266i	$0.330955\pi$
$272$	14.6798	+	28.8106i	0.890091	+	1.74690i
$273$	7.43621	−	1.17778i	0.450060	−	0.0712825i
$274$	−13.1010			−0.791458
$275$	14.9547	−	7.16638i	0.901802	−	0.432149i
$276$	0.273370			0.0164549
$277$	8.81105	−	1.39553i	0.529405	−	0.0838495i	0.113991	−	0.993482i	$-0.463637\pi$
$277$	8.81105	−	1.39553i	0.529405	−	0.0838495i	0.415414	+	0.909632i	$0.363637\pi$
$278$	2.80921	+	5.51338i	0.168485	+	0.330671i
$279$	3.73034	−	1.21206i	0.223329	−	0.0725641i
$280$	−20.1011	−	3.80057i	−1.20127	−	0.227127i
$281$	11.3769	+	15.6590i	0.678691	+	0.934138i	0.999917	−	0.0128643i	$-0.00409495\pi$
$281$	11.3769	+	15.6590i	0.678691	+	0.934138i	−0.321226	+	0.947003i	$0.604095\pi$
$282$	−9.04761	−	4.60999i	−0.538777	−	0.274521i
$283$	1.71702	−	0.874863i	0.102066	−	0.0520052i	−0.402212	−	0.915546i	$-0.631759\pi$
$283$	1.71702	−	0.874863i	0.102066	−	0.0520052i	0.504278	+	0.863541i	$0.331759\pi$
$284$	0.903843	−	1.24403i	0.0536332	−	0.0738198i
$285$	−11.0632	−	0.329637i	−0.655329	−	0.0195260i
$286$	9.83698	+	4.58344i	0.581673	+	0.271024i
$287$	0.256916	+	0.256916i	0.0151653	+	0.0151653i
$288$	0.136458	+	0.861562i	0.00804087	+	0.0507680i
$289$	−37.9833	−	12.3415i	−2.23431	−	0.725972i
$290$	−9.29883	−	31.8133i	−0.546046	−	1.86814i
$291$	−1.03847	+	0.754493i	−0.0608762	+	0.0442292i
$292$	−0.299964	+	1.89390i	−0.0175541	+	0.110832i
$293$	−0.110137	+	0.216156i	−0.00643426	+	0.0126280i	−0.894201	−	0.447665i	$-0.852256\pi$
$293$	−0.110137	+	0.216156i	−0.00643426	+	0.0126280i	0.887767	+	0.460293i	$0.152256\pi$
$294$	−1.99883	+	6.15177i	−0.116574	+	0.358779i
$295$	4.91599	−	0.629171i	0.286220	−	0.0366317i
$296$			13.6486i			0.793310i
$297$	2.61292	−	2.04271i	0.151617	−	0.118530i
$298$	3.14787	−	3.14787i	0.182351	−	0.182351i
$299$	3.19021	+	2.31782i	0.184494	+	0.134043i
$300$	−0.309185	−	0.708146i	−0.0178508	−	0.0408848i
$301$	1.13779	+	3.50175i	0.0655811	+	0.201838i
$302$	−13.2482	−	2.09831i	−0.762348	−	0.120744i
$303$	−0.355311	−	0.0562757i	−0.0204121	−	0.00323295i
$304$	6.55455	+	20.1728i	0.375929	+	1.15699i
$305$	1.37034	+	2.89985i	0.0784655	+	0.166045i
$306$	−8.96058	−	6.51024i	−0.512242	−	0.372166i
$307$	15.1161	−	15.1161i	0.862722	−	0.862722i	−0.128932	−	0.991653i	$-0.541155\pi$
$307$	15.1161	−	15.1161i	0.862722	−	0.862722i	0.991653	+	0.128932i	$0.0411549\pi$
$308$	−1.36379	+	1.06617i	−0.0777092	+	0.0607509i
$309$		−	3.25880i		−	0.185387i
$310$	10.1851	+	7.87381i	0.578473	+	0.447203i
$311$	−0.259170	+	0.797643i	−0.0146962	+	0.0452302i	−0.958136	−	0.286315i	$-0.907570\pi$
$311$	−0.259170	+	0.797643i	−0.0146962	+	0.0452302i	0.943440	+	0.331545i	$0.107570\pi$
$312$	−2.74145	+	5.38039i	−0.155204	+	0.304605i
$313$	−4.45326	+	28.1168i	−0.251713	+	1.58925i	0.460740	+	0.887535i	$0.347584\pi$
$313$	−4.45326	+	28.1168i	−0.251713	+	1.58925i	−0.712454	+	0.701719i	$0.752416\pi$
$314$	3.03434	−	2.20457i	0.171237	−	0.124411i
$315$	7.24876	−	2.11877i	0.408421	−	0.119379i
$316$	−0.967133	−	0.314240i	−0.0544055	−	0.0176774i
$317$	−4.72085	−	29.8062i	−0.265149	−	1.67409i	−0.656872	−	0.754002i	$-0.728121\pi$
$317$	−4.72085	−	29.8062i	−0.265149	−	1.67409i	0.391723	−	0.920083i	$-0.371879\pi$
$318$	11.0436	+	11.0436i	0.619294	+	0.619294i
$319$	30.3586	+	14.1453i	1.69975	+	0.791982i
$320$	11.8647	−	11.1781i	0.663256	−	0.624875i
$321$	2.85058	−	3.92348i	0.159104	−	0.218987i
$322$	−7.81356	+	3.98121i	−0.435433	+	0.221864i
$323$	−33.2791	−	16.9566i	−1.85170	−	0.943488i
$324$	−0.0908364	−	0.125026i	−0.00504647	−	0.00694586i
$325$	2.39598	−	10.8855i	0.132905	−	0.603818i
$326$	−5.16240	+	1.67736i	−0.285919	+	0.0929006i
$327$	4.95827	+	9.73115i	0.274193	+	0.538134i
$328$	−0.287824	+	0.0455869i	−0.0158924	+	0.00251712i
$329$	23.3645			1.28813
$330$	10.3711	+	3.30770i	0.570908	+	0.182083i
$331$	−32.3254			−1.77676			−0.888382	−	0.459104i	$-0.848170\pi$
$331$	−32.3254			−1.77676			−0.888382	+	0.459104i	$0.848170\pi$
$332$	−0.241327	+	0.0382224i	−0.0132445	+	0.00209773i
$333$	−2.28746	−	4.48940i	−0.125352	−	0.246017i
$334$	−13.0577	+	4.24269i	−0.714484	+	0.232150i
$335$	11.0203	+	16.1592i	0.602102	+	0.882869i
$336$	−8.50688	−	11.7087i	−0.464088	−	0.638763i
$337$	−22.7798	−	11.6069i	−1.24089	−	0.632267i	−0.294614	−	0.955616i	$-0.595191\pi$
$337$	−22.7798	−	11.6069i	−1.24089	−	0.632267i	−0.946280	+	0.323350i	$0.895191\pi$
$338$	−10.5028	+	5.35147i	−0.571280	+	0.291082i
$339$	2.87516	−	3.95732i	0.156157	−	0.214932i
$340$	0.0776585	−	2.60636i	0.00421162	−	0.141350i
$341$	−12.7691	+	2.48606i	−0.691484	+	0.134628i
$342$	−5.13750	−	5.13750i	−0.277804	−	0.277804i
$343$	1.37013	+	8.65063i	0.0739798	+	0.467090i
$344$	−2.80858	−	0.912563i	−0.151429	−	0.0492021i
$345$	3.46928	+	1.89990i	0.186780	+	0.102287i
$346$	3.29511	−	2.39404i	0.177146	−	0.128704i
$347$	−4.71136	+	29.7463i	−0.252919	+	1.59687i	0.454946	+	0.890519i	$0.349659\pi$
$347$	−4.71136	+	29.7463i	−0.252919	+	1.59687i	−0.707865	+	0.706348i	$0.750341\pi$
$348$	0.708494	−	1.39050i	0.0379793	−	0.0745385i
$349$	6.25787	−	19.2597i	0.334976	−	1.03095i	−0.631758	−	0.775166i	$-0.717666\pi$
$349$	6.25787	−	19.2597i	0.334976	−	1.03095i	0.966734	−	0.255785i	$-0.0823338\pi$
$350$	19.1503	+	15.7377i	1.02362	+	0.841214i
$351$		−	2.22921i		−	0.118986i
$352$	−0.101842	−	2.89130i	−0.00542822	−	0.154107i
$353$	17.3175	−	17.3175i	0.921717	−	0.921717i	−0.0754337	−	0.997151i	$-0.524034\pi$
$353$	17.3175	−	17.3175i	0.921717	−	0.921717i	0.997151	+	0.0754337i	$0.0240341\pi$
$354$	2.63202	+	1.91227i	0.139890	+	0.101636i
$355$	20.1164	−	9.50611i	1.06767	−	0.504532i
$356$	−0.359153	−	1.10536i	−0.0190351	−	0.0585839i
$357$	25.1711	+	3.98671i	1.33219	+	0.210999i
$358$	−4.61806	−	0.731429i	−0.244072	−	0.0386572i
$359$	2.12922	+	6.55308i	0.112376	+	0.345858i	0.991391	−	0.130937i	$-0.0417985\pi$
$359$	2.12922	+	6.55308i	0.112376	+	0.345858i	−0.879015	+	0.476795i	$0.841798\pi$
$360$	−2.04249	+	5.70237i	−0.107649	+	0.300541i
$361$	−4.45018	−	3.23325i	−0.234220	−	0.170171i
$362$	−20.8209	+	20.8209i	−1.09432	+	1.09432i
$363$	−9.42541	+	5.67112i	−0.494706	+	0.297657i
$364$			1.16352i			0.0609849i
$365$	−16.9692	+	21.9503i	−0.888209	+	1.14893i
$366$	−0.650607	+	2.00236i	−0.0340078	+	0.104665i
$367$	−12.5407	+	24.6126i	−0.654621	+	1.28477i	0.290133	+	0.956986i	$0.406300\pi$
$367$	−12.5407	+	24.6126i	−0.654621	+	1.28477i	−0.944754	+	0.327780i	$0.893700\pi$
$368$	1.18580	−	7.48688i	0.0618144	−	0.390280i
$369$	0.0870329	−	0.0632331i	0.00453075	−	0.00329178i
$370$	7.94337	−	14.5049i	0.412956	−	0.754072i
$371$	−34.1771	−	11.1048i	−1.77439	−	0.576533i
$372$	0.0948234	+	0.598691i	0.00491636	+	0.0310407i
$373$	−18.9168	−	18.9168i	−0.979474	−	0.979474i	0.0203196	−	0.999794i	$-0.493532\pi$
$373$	−18.9168	−	18.9168i	−0.979474	−	0.979474i	−0.999794	+	0.0203196i	$0.993532\pi$
$374$	26.8735	+	25.0448i	1.38960	+	1.29503i
$375$	0.997755	−	11.1357i	0.0515239	−	0.575047i
$376$	−11.0148	+	15.1606i	−0.568044	+	0.781846i
$377$	20.0577	−	10.2199i	1.03302	−	0.526351i
$378$	4.41712	+	2.25063i	0.227192	+	0.115760i
$379$	7.05298	+	9.70760i	0.362287	+	0.498646i	0.950784	−	0.309854i	$-0.100280\pi$
$379$	7.05298	+	9.70760i	0.362287	+	0.498646i	−0.588497	+	0.808500i	$0.700280\pi$
$380$	0.317773	−	1.68069i	0.0163014	−	0.0862177i
$381$	12.7726	−	4.15008i	0.654362	−	0.212615i
$382$	−14.5713	−	28.5978i	−0.745534	−	1.46319i
$383$	−16.8268	+	2.66510i	−0.859809	+	0.136180i	−0.570743	−	0.821129i	$-0.693345\pi$
$383$	−16.8268	+	2.66510i	−0.859809	+	0.136180i	−0.289066	+	0.957309i	$0.593345\pi$
$384$	12.4451			0.635087
$385$	−24.7174	+	4.05235i	−1.25971	+	0.206527i
$386$	9.50681			0.483884
$387$	1.07676	−	0.170542i	0.0547347	−	0.00866913i
$388$	−0.0900585	−	0.176750i	−0.00457203	−	0.00897311i
$389$	−18.6895	+	6.07259i	−0.947596	+	0.307893i	−0.741739	−	0.670689i	$-0.765998\pi$
$389$	−18.6895	+	6.07259i	−0.947596	+	0.307893i	−0.205858	+	0.978582i	$0.565998\pi$
$390$	6.04477	−	4.12243i	0.306089	−	0.208747i
$391$	7.84567	+	10.7986i	0.396772	+	0.546110i
$392$	10.6360	+	5.41933i	0.537201	+	0.273717i
$393$	7.51786	−	3.83054i	0.379226	−	0.193225i
$394$	−15.0887	+	20.7678i	−0.760155	+	1.04626i
$395$	−10.0897	−	10.7094i	−0.507669	−	0.538851i
$396$	0.248625	+	0.448212i	0.0124939	+	0.0225235i
$397$	4.22333	+	4.22333i	0.211963	+	0.211963i	0.805101	−	0.593138i	$-0.202111\pi$
$397$	4.22333	+	4.22333i	0.211963	+	0.211963i	−0.593138	+	0.805101i	$0.702111\pi$
$398$	−0.213477	−	1.34784i	−0.0107006	−	0.0675611i
$399$	15.8992	+	5.16598i	0.795958	+	0.258622i
$400$	−20.7354	+	5.39601i	−1.03677	+	0.269801i
$401$	6.36365	−	4.62346i	0.317785	−	0.230885i	−0.417444	−	0.908702i	$-0.637074\pi$
$401$	6.36365	−	4.62346i	0.317785	−	0.230885i	0.735230	+	0.677818i	$0.237074\pi$
$402$	−2.00853	+	12.6813i	−0.100176	+	0.632487i
$403$	−3.96954	+	7.79065i	−0.197737	+	0.388080i
$404$	0.0171796	−	0.0528732i	0.000854715	−	0.00263054i
$405$	−0.283867	−	2.21798i	−0.0141055	−	0.110212i
$406$			50.0618i			2.48452i
$407$	5.72026	+	15.7015i	0.283543	+	0.778295i
$408$	−14.4533	+	14.4533i	−0.715547	+	0.715547i
$409$	−1.56690	−	1.13842i	−0.0774782	−	0.0562912i	0.548372	−	0.836235i	$-0.315248\pi$
$409$	−1.56690	−	1.13842i	−0.0774782	−	0.0562912i	−0.625850	+	0.779943i	$0.715248\pi$
$410$	0.332412	+	0.119064i	0.0164167	+	0.00588017i
$411$	−2.75809	−	8.48853i	−0.136047	−	0.418708i
$412$	0.497416	+	0.0787829i	0.0245059	+	0.00388135i
$413$	−7.39357	−	1.17103i	−0.363814	−	0.0576224i
$414$	0.802361	+	2.46941i	0.0394339	+	0.121365i
$415$	−3.32827	−	1.19213i	−0.163378	−	0.0585193i
$416$	−1.57317	−	1.14297i	−0.0771310	−	0.0560389i
$417$	−2.98088	+	2.98088i	−0.145974	+	0.145974i
$418$	14.8413	+	18.9842i	0.725914	+	0.928548i
$419$			11.9003i			0.581366i	0.956819	+	0.290683i	$0.0938824\pi$
$419$			11.9003i			0.581366i	−0.956819	+	0.290683i	$0.906118\pi$
$420$	0.148162	+	1.15765i	0.00722956	+	0.0564877i
$421$	−3.43495	+	10.5717i	−0.167409	+	0.515233i	−0.999206	−	0.0398477i	$-0.987313\pi$
$421$	−3.43495	+	10.5717i	−0.167409	+	0.515233i	0.831796	+	0.555081i	$0.187313\pi$
$422$	−9.84323	+	19.3184i	−0.479161	+	0.940406i
$423$	1.08220	−	6.83275i	0.0526184	−	0.332220i
$424$	23.3178	−	16.9414i	1.13241	−	0.822746i
$425$	19.0995	−	32.5370i	0.926464	−	1.57828i
$426$	13.8905	+	4.51329i	0.672995	+	0.218669i
$427$	−0.757831	−	4.78475i	−0.0366740	−	0.231551i
$428$	0.529956	+	0.529956i	0.0256164	+	0.0256164i
$429$	−0.898815	+	7.33862i	−0.0433952	+	0.354312i
$430$	2.45367	+	2.60438i	0.118327	+	0.125594i
$431$	−13.4650	+	18.5330i	−0.648586	+	0.892702i	−0.999037	−	0.0438788i	$-0.986028\pi$
$431$	−13.4650	+	18.5330i	−0.648586	+	0.892702i	0.350451	+	0.936581i	$0.386028\pi$
$432$	−3.81814	+	1.94544i	−0.183700	+	0.0936000i
$433$	−14.2930	−	7.28267i	−0.686880	−	0.349983i	0.0754700	−	0.997148i	$-0.475954\pi$
$433$	−14.2930	−	7.28267i	−0.686880	−	0.349983i	−0.762350	+	0.647165i	$0.775954\pi$
$434$	−11.4293	−	15.7310i	−0.548622	−	0.755114i
$435$	18.6552	−	12.7225i	0.894447	−	0.609998i
$436$	−1.60521	+	0.521563i	−0.0768754	+	0.0249783i
$437$	3.97508	+	7.80154i	0.190154	+	0.373198i
$438$	−17.9884	+	2.84908i	−0.859519	+	0.136134i
$439$	22.9370			1.09472			0.547361	−	0.836897i	$-0.315633\pi$
$439$	22.9370			1.09472			0.547361	+	0.836897i	$0.315633\pi$
$440$	9.02313	−	17.9488i	0.430161	−	0.855677i
$441$	−4.40673			−0.209844
$442$	24.3865	−	3.86244i	1.15995	−	0.183718i
$443$	3.48817	+	6.84593i	0.165728	+	0.325260i	0.958903	−	0.283734i	$-0.0915733\pi$
$443$	3.48817	+	6.84593i	0.165728	+	0.325260i	−0.793175	+	0.608994i	$0.791573\pi$
$444$	0.740550	−	0.240619i	0.0351450	−	0.0114193i
$445$	3.12422	−	16.5239i	0.148102	−	0.783310i
$446$	4.87993	+	6.71665i	0.231072	+	0.318043i
$447$	2.70231	+	1.37689i	0.127815	+	0.0651249i
$448$	−21.9376	+	11.1778i	−1.03645	+	0.528100i
$449$	1.83906	−	2.53125i	0.0867907	−	0.119457i	−0.763414	−	0.645910i	$-0.776478\pi$
$449$	1.83906	−	2.53125i	0.0867907	−	0.119457i	0.850204	+	0.526453i	$0.176478\pi$
$450$	5.48936	−	4.87139i	0.258771	−	0.229640i
$451$	−0.312010	+	0.173073i	−0.0146920	+	0.00814971i
$452$	0.534527	+	0.534527i	0.0251420	+	0.0251420i
$453$	−1.42953	−	9.02567i	−0.0671650	−	0.424063i
$454$	17.7226	+	5.75841i	0.831761	+	0.270256i
$455$	−8.08635	+	14.7659i	−0.379094	+	0.692238i
$456$	−10.8475	+	7.88116i	−0.507980	+	0.369069i
$457$	3.38325	−	21.3610i	0.158262	−	0.999224i	−0.772876	−	0.634557i	$-0.781183\pi$
$457$	3.38325	−	21.3610i	0.158262	−	0.999224i	0.931138	−	0.364668i	$-0.118817\pi$
$458$	13.8441	−	27.1706i	0.646893	−	1.26960i
$459$	2.33176	−	7.17642i	0.108837	−	0.334966i
$460$	−0.373867	+	0.483611i	−0.0174316	+	0.0225485i
$461$		−	26.9540i		−	1.25537i	−0.778466	−	0.627687i	$-0.784002\pi$
$461$		−	26.9540i		−	1.25537i	0.778466	−	0.627687i	$-0.215998\pi$
$462$	−13.6338	−	9.19012i	−0.634302	−	0.427563i
$463$	13.5828	−	13.5828i	0.631248	−	0.631248i	−0.317133	−	0.948381i	$-0.602720\pi$
$463$	13.5828	−	13.5828i	0.631248	−	0.631248i	0.948381	+	0.317133i	$0.102720\pi$
$464$	−35.0088	−	25.4353i	−1.62524	−	1.18081i
$465$	−2.95747	+	8.25687i	−0.137149	+	0.382903i
$466$	−7.19602	−	22.1471i	−0.333349	−	1.02594i
$467$	−28.0402	−	4.44113i	−1.29754	−	0.205511i	−0.530818	−	0.847486i	$-0.678115\pi$
$467$	−28.0402	−	4.44113i	−1.29754	−	0.205511i	−0.766726	+	0.641975i	$0.778115\pi$
$468$	0.340261	+	0.0538921i	0.0157286	+	0.00249116i
$469$	−9.12916	−	28.0967i	−0.421545	−	1.29738i
$470$	20.5291	−	9.70114i	0.946937	−	0.447480i
$471$	2.06722	+	1.50192i	0.0952524	+	0.0692049i
$472$	4.24542	−	4.24542i	0.195411	−	0.195411i
$473$	−3.61348	+	0.127280i	−0.166148	+	0.00585235i
$474$		−	9.65864i		−	0.443636i
$475$	15.7135	−	19.1208i	0.720983	−	0.877323i
$476$	−1.21704	+	3.74567i	−0.0557830	+	0.171682i
$477$	−4.83053	+	9.48046i	−0.221175	+	0.434080i
$478$	0.585536	−	3.69693i	0.0267818	−	0.169094i
$479$	4.00248	−	2.90797i	0.182878	−	0.132869i	−0.492580	−	0.870267i	$-0.663946\pi$
$479$	4.00248	−	2.90797i	0.182878	−	0.132869i	0.675458	+	0.737399i	$0.263946\pi$
$480$	−1.71079	−	0.936887i	−0.0780864	−	0.0427629i
$481$	10.6823	+	3.47089i	0.487071	+	0.158259i
$482$	−3.17813	−	20.0659i	−0.144760	−	0.913979i
$483$	−4.22450	−	4.22450i	−0.192222	−	0.192222i
$484$	−0.637763	−	1.57577i	−0.0289892	−	0.0716260i
$485$	0.0854837	−	2.86899i	0.00388162	−	0.130274i
$486$	0.862772	−	1.18750i	0.0391361	−	0.0538663i
$487$	20.3628	−	10.3754i	0.922726	−	0.470152i	0.0729732	−	0.997334i	$-0.476751\pi$
$487$	20.3628	−	10.3754i	0.922726	−	0.470152i	0.849753	+	0.527182i	$0.176751\pi$
$488$	3.46196	+	1.76396i	0.156716	+	0.0798505i
$489$	−2.17363	−	2.99175i	−0.0982951	−	0.135292i
$490$	−8.14928	−	11.9494i	−0.368147	−	0.539818i
$491$	−40.2858	+	13.0896i	−1.81807	+	0.590727i	−0.818195	+	0.574940i	$0.805025\pi$
$491$	−40.2858	+	13.0896i	−1.81807	+	0.590727i	−0.999875	+	0.0157865i	$0.994975\pi$
$492$	0.00754768	+	0.0148132i	0.000340276	+	0.000667829i
$493$	75.2609	−	11.9202i	3.38958	−	0.536857i
$494$	16.1964			0.728710
$495$	0.0402119	+	7.41609i	0.00180739	+	0.333328i
$496$	16.8079			0.754696
$497$	−33.1920	+	5.25710i	−1.48887	+	0.235813i
$498$	−1.05358	−	2.06777i	−0.0472121	−	0.0926590i
$499$	2.07124	−	0.672985i	0.0927213	−	0.0301270i	−0.262289	−	0.964989i	$-0.584477\pi$
$499$	2.07124	−	0.672985i	0.0927213	−	0.0301270i	0.355010	+	0.934862i	$0.384477\pi$
$500$	1.67561	+	0.421505i	0.0749355	+	0.0188503i
$501$	−5.49795	−	7.56728i	−0.245630	−	0.338081i
$502$	9.30097	+	4.73908i	0.415123	+	0.211515i
$503$	−16.7437	+	8.53136i	−0.746566	+	0.380394i	−0.785512	−	0.618847i	$-0.787600\pi$
$503$	−16.7437	+	8.53136i	−0.746566	+	0.380394i	0.0389454	+	0.999241i	$0.487600\pi$
$504$	5.37751	−	7.40151i	0.239533	−	0.329689i
$505$	0.585486	−	0.551606i	0.0260538	−	0.0245461i
$506$	−1.64573	−	8.45288i	−0.0731615	−	0.375776i
$507$	−5.67850	−	5.67850i	−0.252191	−	0.252191i
$508$	0.324674	+	2.04991i	0.0144051	+	0.0909502i
$509$	−8.41286	−	2.73350i	−0.372894	−	0.121160i	0.116574	−	0.993182i	$-0.462809\pi$
$509$	−8.41286	−	2.73350i	−0.372894	−	0.121160i	−0.489467	+	0.872022i	$0.662809\pi$
$510$	23.7718	−	6.94835i	1.05263	−	0.307678i
$511$	33.9026	−	24.6317i	1.49976	−	1.08964i
$512$	3.04699	−	19.2380i	0.134659	−	0.850206i
$513$	2.24717	−	4.41032i	0.0992151	−	0.194721i
$514$	−11.1347	+	34.2691i	−0.491131	+	1.51154i
$515$	5.76505	+	4.45681i	0.254039	+	0.196391i
$516$			0.168477i			0.00741677i
$517$	−6.31759	+	22.0572i	−0.277847	+	0.970076i
$518$	−17.6624	+	17.6624i	−0.776042	+	0.776042i
$519$	2.24488	+	1.63100i	0.0985393	+	0.0715930i
$520$	−5.76903	−	12.2082i	−0.252989	−	0.535363i
$521$	−3.21380	−	9.89105i	−0.140799	−	0.433335i	0.855648	−	0.517558i	$-0.173159\pi$
$521$	−3.21380	−	9.89105i	−0.140799	−	0.433335i	−0.996447	+	0.0842237i	$0.973159\pi$
$522$	14.6401	+	2.31877i	0.640782	+	0.101490i
$523$	18.0078	+	2.85215i	0.787424	+	0.124716i	0.537181	−	0.843467i	$-0.319489\pi$
$523$	18.0078	+	2.85215i	0.787424	+	0.124716i	0.250243	+	0.968183i	$0.419489\pi$
$524$	0.402937	+	1.24011i	0.0176024	+	0.0541746i
$525$	−6.16531	+	15.7212i	−0.269076	+	0.686131i
$526$	−19.2981	−	14.0209i	−0.841439	−	0.611341i
$527$	−20.9280	+	20.9280i	−0.911639	+	0.911639i
$528$	13.3538	−	4.86496i	0.581150	−	0.211720i
$529$			19.8709i			0.863952i
$530$	−34.6404	+	4.43344i	−1.50468	+	0.192576i
$531$	−0.684914	+	2.10795i	−0.0297227	+	0.0914772i
$532$	−1.17289	+	2.30193i	−0.0508513	+	0.0998013i
$533$	−0.0375154	+	0.236863i	−0.00162497	+	0.0102597i
$534$	8.93080	−	6.48861i	0.386474	−	0.280790i
$535$	3.04241	+	10.4087i	0.131535	+	0.450008i
$536$	22.5349	+	7.32204i	0.973360	+	0.316264i
$537$	−0.498305	−	3.14617i	−0.0215034	−	0.135767i
$538$	−7.95856	−	7.95856i	−0.343118	−	0.343118i
$539$	14.5071	+	1.77679i	0.624864	+	0.0765318i
$540$	0.345409	+	0.0102917i	0.0148640	+	0.000442885i
$541$	4.18064	−	5.75415i	0.179740	−	0.247390i	−0.709635	−	0.704569i	$-0.751140\pi$
$541$	4.18064	−	5.75415i	0.179740	−	0.247390i	0.889375	+	0.457179i	$0.151140\pi$
$542$	−9.26707	+	4.72181i	−0.398055	+	0.202819i
$543$	−17.8738	−	9.10716i	−0.767039	−	0.390826i
$544$	−3.86889	−	5.32507i	−0.165877	−	0.228311i
$545$	−23.9961	−	4.53701i	−1.02788	−	0.194344i
$546$	−10.5103	+	3.41501i	−0.449800	+	0.146149i
$547$	−9.81070	−	19.2546i	−0.419475	−	0.823266i	−0.999960	−	0.00899495i	$-0.997137\pi$
$547$	−9.81070	−	19.2546i	−0.419475	−	0.823266i	0.580484	−	0.814271i	$-0.302863\pi$
$548$	1.36235	−	0.215774i	0.0581965	−	0.00921742i
$549$	−1.43436			−0.0612171
$550$	−20.0352	+	13.8235i	−0.854305	+	0.589434i
$551$	49.9848			2.12942
$552$	4.73273	−	0.749591i	0.201438	−	0.0319047i
$553$	10.0894	+	19.8016i	0.429046	+	0.842049i
$554$	−12.4535	+	4.04639i	−0.529099	+	0.171915i
$555$	11.0704	+	2.09312i	0.469914	+	0.0888478i
$556$	−0.382930	−	0.527058i	−0.0162399	−	0.0223522i
$557$	−4.09399	−	2.08599i	−0.173468	−	0.0883863i	0.365100	−	0.930968i	$-0.381035\pi$
$557$	−4.09399	−	2.08599i	−0.173468	−	0.0883863i	−0.538568	+	0.842582i	$0.681035\pi$
$558$	−5.12979	+	2.61376i	−0.217162	+	0.110649i
$559$	−1.42846	+	1.96611i	−0.0604175	+	0.0831575i
$560$	32.3477	+	0.963825i	1.36694	+	0.0407290i
$561$	−10.5697	+	22.6848i	−0.446254	+	0.957752i
$562$	−20.0895	−	20.0895i	−0.847424	−	0.847424i
$563$	−0.411824	−	2.60015i	−0.0173563	−	0.109583i	0.977489	−	0.210985i	$-0.0676672\pi$
$563$	−0.411824	−	2.60015i	−0.0173563	−	0.109583i	−0.994846	+	0.101402i	$0.967667\pi$
$564$	1.01677	+	0.330369i	0.0428138	+	0.0139110i
$565$	3.06864	+	10.4985i	0.129099	+	0.441674i
$566$	−2.28838	+	1.66261i	−0.0961878	+	0.0698845i
$567$	−0.528340	+	3.33580i	−0.0221882	+	0.140091i
$568$	12.2366	−	24.0157i	0.513438	−	1.00768i
$569$	2.87144	−	8.83738i	0.120377	−	0.370482i	−0.872653	−	0.488340i	$-0.837603\pi$
$569$	2.87144	−	8.83738i	0.120377	−	0.370482i	0.993031	+	0.117858i	$0.0376026\pi$
$570$	16.1148	−	2.06244i	0.674973	−	0.0863862i
$571$			13.9749i			0.584832i	0.956291	+	0.292416i	$0.0944591\pi$
$571$			13.9749i			0.584832i	−0.956291	+	0.292416i	$0.905541\pi$
$572$	−1.09842	−	0.314607i	−0.0459272	−	0.0131544i
$573$	15.4618	−	15.4618i	0.645926	−	0.645926i
$574$	−0.431461	−	0.313475i	−0.0180088	−	0.0130842i
$575$	−8.10572	+	3.53906i	−0.338032	+	0.147589i
$576$	2.25273	+	6.93320i	0.0938639	+	0.288883i
$577$	33.5513	+	5.31400i	1.39676	+	0.221225i	0.808998	−	0.587811i	$-0.200010\pi$
$577$	33.5513	+	5.31400i	1.39676	+	0.221225i	0.587759	+	0.809036i	$0.300010\pi$
$578$	57.9007	+	9.17057i	2.40835	+	0.381446i
$579$	2.00143	+	6.15976i	0.0831765	+	0.255991i
$580$	1.49094	+	3.15505i	0.0619078	+	0.131006i
$581$	4.31999	+	3.13866i	0.179223	+	0.130213i
$582$	1.33229	−	1.33229i	0.0552252	−	0.0552252i
$583$	19.7247	−	29.2622i	0.816916	−	1.21192i
$584$			33.6107i			1.39082i
$585$	3.94363	+	3.04872i	0.163049	+	0.126049i
$586$	0.110039	−	0.338664i	0.00454566	−	0.0139901i
$587$	7.79103	−	15.2908i	0.321570	−	0.631117i	−0.672471	−	0.740124i	$-0.734767\pi$
$587$	7.79103	−	15.2908i	0.321570	−	0.631117i	0.994041	+	0.109006i	$0.0347669\pi$
$588$	0.106535	−	0.672633i	0.00439341	−	0.0277389i
$589$	−15.7068	+	11.4117i	−0.647189	+	0.470210i
$590$	−6.98255	+	2.04096i	−0.287467	+	0.0840249i
$591$	−16.6326	−	5.40427i	−0.684175	−	0.222302i
$592$	−3.37762	−	21.3254i	−0.138819	−	0.876470i
$593$	−16.8815	−	16.8815i	−0.693239	−	0.693239i	0.269705	−	0.962943i	$-0.413074\pi$
$593$	−16.8815	−	16.8815i	−0.693239	−	0.693239i	−0.962943	+	0.269705i	$0.913074\pi$
$594$	−3.31907	+	3.56142i	−0.136183	+	0.146127i
$595$	−41.4773	+	39.0771i	−1.70040	+	1.60201i
$596$	−0.275495	+	0.379186i	−0.0112847	+	0.0155321i
$597$	0.828366	−	0.422073i	0.0339028	−	0.0172743i
$598$	−5.15726	−	2.62776i	−0.210896	−	0.107457i
$599$	1.57682	+	2.17031i	0.0644272	+	0.0886765i	0.840015	−	0.542564i	$-0.182546\pi$
$599$	1.57682	+	2.17031i	0.0644272	+	0.0886765i	−0.775587	+	0.631240i	$0.782546\pi$
$600$	−7.29454	−	11.4120i	−0.297798	−	0.465893i
$601$	−11.3382	+	3.68399i	−0.462493	+	0.150273i	−0.530990	−	0.847378i	$-0.678180\pi$
$601$	−11.3382	+	3.68399i	−0.462493	+	0.150273i	0.0684968	+	0.997651i	$0.478180\pi$
$602$	−2.45360	−	4.81546i	−0.100001	−	0.196263i
$603$	−8.63948	+	1.36836i	−0.351827	+	0.0557239i
$604$	1.41222			0.0574622
$605$	2.85778	−	24.4302i	0.116185	−	0.993228i
$606$	0.528039			0.0214501
$607$	−9.76186	+	1.54613i	−0.396222	+	0.0627554i	−0.351366	−	0.936238i	$-0.614283\pi$
$607$	−9.76186	+	1.54613i	−0.396222	+	0.0627554i	−0.0448556	+	0.998993i	$0.514283\pi$
$608$	−1.96021	−	3.84713i	−0.0794971	−	0.156022i
$609$	−32.4366	+	10.5393i	−1.31440	+	0.427073i
$610$	−2.65254	−	3.88944i	−0.107398	−	0.157479i
$611$	9.06453	+	12.4763i	0.366712	+	0.504735i
$612$	1.03902	+	0.529406i	0.0419998	+	0.0214000i
$613$	−24.3992	+	12.4320i	−0.985473	+	0.502123i	−0.870989	−	0.491302i	$-0.836521\pi$
$613$	−24.3992	+	12.4320i	−0.985473	+	0.502123i	−0.114483	+	0.993425i	$0.536521\pi$
$614$	−18.4438	+	25.3857i	−0.744332	+	1.02448i
$615$	−0.00716428	+	0.240446i	−0.000288892	+	0.00969573i
$616$	−20.6872	+	22.1977i	−0.833510	+	0.894373i
$617$	0.761486	+	0.761486i	0.0306563	+	0.0306563i	0.722269	−	0.691612i	$-0.243099\pi$
$617$	0.761486	+	0.761486i	0.0306563	+	0.0306563i	−0.691612	+	0.722269i	$0.743099\pi$
$618$	0.748287	+	4.72450i	0.0301005	+	0.190047i
$619$	−33.1397	−	10.7677i	−1.33200	−	0.432792i	−0.445399	−	0.895332i	$-0.646938\pi$
$619$	−33.1397	−	10.7677i	−1.33200	−	0.432792i	−0.886598	+	0.462540i	$0.846938\pi$
$620$	−1.18881	−	0.651034i	−0.0477437	−	0.0261461i
$621$	−1.43109	+	1.03975i	−0.0574278	+	0.0417237i
$622$	0.192580	−	1.21590i	0.00772176	−	0.0487533i
$623$	−11.5314	+	22.6317i	−0.461997	+	0.906720i
$624$	2.95192	−	9.08507i	0.118171	−	0.363694i
$625$	18.3353	+	16.9946i	0.733414	+	0.679783i
$626$		−	41.7852i		−	1.67007i
$627$	−9.17598	+	13.6128i	−0.366453	+	0.543644i
$628$	−0.279225	+	0.279225i	−0.0111423	+	0.0111423i
$629$	30.7586	+	22.3474i	1.22642	+	0.891049i
$630$	−10.0225	+	4.73617i	−0.399305	+	0.188694i
$631$	9.79233	+	30.1377i	0.389827	+	1.19976i	0.932918	+	0.360089i	$0.117254\pi$
$631$	9.79233	+	30.1377i	0.389827	+	1.19976i	−0.543091	+	0.839674i	$0.682746\pi$
$632$	−17.6052	−	2.78839i	−0.700296	−	0.110916i
$633$	−14.5893	−	2.31071i	−0.579871	−	0.0918426i
$634$	13.6882	+	42.1280i	0.543629	+	1.67312i
$635$	−10.1264	+	28.2714i	−0.401852	+	1.12192i
$636$	−1.33029	−	0.966514i	−0.0527495	−	0.0383248i
$637$	6.94629	−	6.94629i	0.275222	−	0.275222i
$638$	−47.2608	−	13.5363i	−1.87107	−	0.535909i
$639$			9.95023i			0.393625i
$640$	−17.0202	+	22.0163i	−0.672783	+	0.870271i
$641$	15.1400	−	46.5961i	0.597993	−	1.84043i	0.0587704	−	0.998272i	$-0.481282\pi$
$641$	15.1400	−	46.5961i	0.597993	−	1.84043i	0.539223	−	0.842163i	$-0.318718\pi$
$642$	−3.23175	+	6.34267i	−0.127547	+	0.250325i
$643$	−6.09615	+	38.4896i	−0.240409	+	1.51788i	0.511885	+	0.859054i	$0.328947\pi$
$643$	−6.09615	+	38.4896i	−0.240409	+	1.51788i	−0.752294	+	0.658827i	$0.771053\pi$
$644$	0.746946	−	0.542688i	0.0294338	−	0.0213849i
$645$	−1.17090	+	2.13810i	−0.0461041	+	0.0841876i
$646$	52.1404	+	16.9414i	2.05144	+	0.666552i
$647$	6.10356	+	38.5364i	0.239956	+	1.51502i	0.753781	+	0.657126i	$0.228228\pi$
$647$	6.10356	+	38.5364i	0.239956	+	1.51502i	−0.513825	+	0.857895i	$0.671772\pi$
$648$	−1.91543	−	1.91543i	−0.0752453	−	0.0752453i
$649$	3.10468	−	6.66326i	0.121869	−	0.261556i
$650$	−0.974086	+	16.3315i	−0.0382068	+	0.640576i
$651$	7.78648	−	10.7172i	0.305176	−	0.420039i
$652$	0.509202	−	0.259451i	0.0199419	−	0.0101609i
$653$	41.9764	+	21.3881i	1.64266	+	0.836979i	0.997326	+	0.0730825i	$0.0232836\pi$
$653$	41.9764	+	21.3881i	1.64266	+	0.836979i	0.645338	+	0.763897i	$0.276716\pi$
$654$	−9.42278	−	12.9693i	−0.368460	−	0.507142i
$655$	−3.50509	+	18.5384i	−0.136955	+	0.724354i
$656$	0.438433	−	0.142455i	0.0171179	−	0.00556195i
$657$	−5.63303	−	11.0554i	−0.219765	−	0.431314i
$658$	−33.8730	+	5.36495i	−1.32051	+	0.209148i
$659$	19.6970			0.767287			0.383644	−	0.923481i	$-0.374669\pi$
$659$	19.6970			0.767287			0.383644	+	0.923481i	$0.374669\pi$
$660$	−1.13294	−	0.173149i	−0.0440998	−	0.00673982i
$661$	12.4691			0.484993			0.242496	−	0.970152i	$-0.422034\pi$
$661$	12.4691			0.484993			0.242496	+	0.970152i	$0.422034\pi$
$662$	46.8642	−	7.42256i	1.82143	−	0.288486i
$663$	7.63659	+	14.9876i	0.296580	+	0.582072i
$664$	−4.07317	+	1.32345i	−0.158070	+	0.0513599i
$665$	−30.8831	+	21.0618i	−1.19760	+	0.816741i
$666$	4.34713	+	5.98332i	0.168448	+	0.231849i
$667$	−15.9162	−	8.10970i	−0.616277	−	0.314009i
$668$	1.28797	−	0.656251i	0.0498329	−	0.0253911i
$669$	−3.32458	+	4.57589i	−0.128536	+	0.176914i
$670$	−19.6873	−	20.8965i	−0.760585	−	0.807302i
$671$	4.72196	+	0.578334i	0.182289	+	0.0223263i
$672$	2.08321	+	2.08321i	0.0803614	+	0.0803614i
$673$	−4.70334	−	29.6957i	−0.181300	−	1.14469i	−0.895605	−	0.444850i	$-0.853257\pi$
$673$	−4.70334	−	29.6957i	−0.181300	−	1.14469i	0.714305	−	0.699835i	$-0.246743\pi$
$674$	35.6905	+	11.5965i	1.37475	+	0.446682i
$675$	4.31198	+	2.53117i	0.165968	+	0.0974249i
$676$	1.00403	−	0.729472i	0.0386166	−	0.0280566i
$677$	−4.39542	+	27.7516i	−0.168930	+	1.06658i	0.746877	+	0.664962i	$0.231552\pi$
$677$	−4.39542	+	27.7516i	−0.168930	+	1.06658i	−0.915807	+	0.401619i	$0.868448\pi$
$678$	−3.25962	+	6.39737i	−0.125185	+	0.245689i
$679$	−1.33968	+	4.12310i	−0.0514120	+	0.158230i
$680$	−5.80227	−	45.3357i	−0.222507	−	1.73854i
$681$			12.6953i			0.486485i
$682$	17.9413	−	6.53624i	0.687007	−	0.250286i
$683$	9.49613	−	9.49613i	0.363359	−	0.363359i	−0.501689	−	0.865048i	$-0.667288\pi$
$683$	9.49613	−	9.49613i	0.363359	−	0.363359i	0.865048	+	0.501689i	$0.167288\pi$
$684$	0.618854	+	0.449624i	0.0236625	+	0.0171918i
$685$	18.7888	+	6.72984i	0.717884	+	0.257134i
$686$	−3.97271	−	12.2268i	−0.151679	−	0.466820i
$687$	20.5192	+	3.24993i	0.782857	+	0.123992i
$688$	4.61413	+	0.730806i	0.175912	+	0.0278617i
$689$	−7.32963	−	22.5583i	−0.279237	−	0.859402i
$690$	−5.46589	−	1.95779i	−0.208083	−	0.0745318i
$691$	−35.2048	−	25.5778i	−1.33925	−	0.973024i	−0.999471	−	0.0325197i	$-0.989647\pi$
$691$	−35.2048	−	25.5778i	−1.33925	−	0.973024i	−0.339782	−	0.940504i	$-0.610353\pi$
$692$	−0.303223	+	0.303223i	−0.0115268	+	0.0115268i
$693$	3.08430	−	10.7685i	0.117163	−	0.409063i
$694$		−	44.2070i		−	1.67807i
$695$	−1.19667	−	9.35011i	−0.0453923	−	0.354670i
$696$	8.45303	−	26.0158i	0.320411	−	0.986125i
$697$	−0.368531	+	0.723282i	−0.0139591	+	0.0273963i
$698$	−4.65001	+	29.3590i	−0.176006	+	1.11126i
$699$	12.8348	−	9.32505i	0.485458	−	0.352706i
$700$	−2.25060	−	1.32112i	−0.0850647	−	0.0499338i
$701$	−38.8773	−	12.6320i	−1.46838	−	0.477104i	−0.537759	−	0.843099i	$-0.680729\pi$
$701$	−38.8773	−	12.6320i	−1.46838	−	0.477104i	−0.930617	+	0.365995i	$0.880729\pi$
$702$	0.511871	+	3.23183i	0.0193193	+	0.121978i
$703$	17.6352	+	17.6352i	0.665126	+	0.665126i
$704$	−4.62060	−	23.7326i	−0.174145	−	0.894455i
$705$	10.6076	+	11.2591i	0.399504	+	0.424043i
$706$	−21.1298	+	29.0827i	−0.795232	+	1.09454i
$707$	−1.08255	+	0.551589i	−0.0407137	+	0.0207446i
$708$	−0.305194	−	0.155504i	−0.0114699	−	0.00584420i
$709$	−24.9453	−	34.3343i	−0.936841	−	1.28945i	−0.957131	−	0.289656i	$-0.906459\pi$
$709$	−24.9453	−	34.3343i	−0.936841	−	1.28945i	0.0202901	−	0.999794i	$-0.493541\pi$
$710$	−26.9812	+	18.4007i	−1.01259	+	0.690568i
$711$	6.25814	−	2.03339i	0.234698	−	0.0762581i
$712$	−9.24878	−	18.1517i	−0.346613	−	0.680265i
$713$	6.85286	−	1.08539i	0.256642	−	0.0406480i
$714$	−37.4075			−1.39994
$715$	−11.7533	−	11.6265i	−0.439548	−	0.434807i
$716$	0.492270			0.0183970
$717$	2.51863	−	0.398911i	0.0940598	−	0.0148976i
$718$	−4.59159	−	9.01150i	−0.171357	−	0.336306i
$719$	48.5492	−	15.7746i	1.81058	−	0.588294i	0.810585	−	0.585621i	$-0.199149\pi$
$719$	48.5492	−	15.7746i	1.81058	−	0.588294i	0.999996	−	0.00267246i	$-0.000850671\pi$
$720$	1.78015	−	9.41518i	0.0663423	−	0.350883i
$721$	−6.46930	−	8.90423i	−0.240930	−	0.331611i
$722$	7.19413	+	3.66559i	0.267738	+	0.136419i
$723$	12.3323	−	6.28361i	0.458642	−	0.233690i
$724$	1.82220	−	2.50804i	0.0677216	−	0.0932107i
$725$	−3.00620	+	50.4019i	−0.111647	+	1.87188i
$726$	12.3624	−	10.3861i	0.458812	−	0.385463i
$727$	−21.0593	−	21.0593i	−0.781048	−	0.781048i	0.198960	−	0.980008i	$-0.436244\pi$
$727$	−21.0593	−	21.0593i	−0.781048	−	0.781048i	−0.980008	+	0.198960i	$0.936244\pi$
$728$	3.19041	+	20.1434i	0.118244	+	0.746566i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	19.5611	−	35.7192i	0.723989	−	1.32203i
$731$	−6.65515	+	4.83525i	−0.246149	+	0.178838i
$732$	0.0346763	−	0.218937i	0.00128167	−	0.00809216i
$733$	−6.40600	+	12.5725i	−0.236611	+	0.464375i	−0.978527	−	0.206117i	$-0.933917\pi$
$733$	−6.40600	+	12.5725i	−0.236611	+	0.464375i	0.741916	+	0.670493i	$0.233917\pi$
$734$	12.5296	−	38.5620i	0.462474	−	1.42335i
$735$	6.02675	−	7.79582i	0.222300	−	0.287553i
$736$			1.54304i			0.0568771i
$737$	28.9931	−	1.02124i	1.06797	−	0.0376180i
$738$	−0.111658	+	0.111658i	−0.00411017	+	0.00411017i
$739$	−31.7912	−	23.0976i	−1.16946	−	0.849660i	−0.178513	−	0.983938i	$-0.557129\pi$
$739$	−31.7912	−	23.0976i	−1.16946	−	0.849660i	−0.990944	+	0.134277i	$0.957129\pi$
$740$	−0.587120	+	1.63916i	−0.0215830	+	0.0602568i
$741$	3.40975	+	10.4941i	0.125260	+	0.385512i
$742$	52.0986	+	8.25161i	1.91260	+	0.302926i
$743$	15.8736	+	2.51413i	0.582345	+	0.0922344i	0.440655	−	0.897677i	$-0.354746\pi$
$743$	15.8736	+	2.51413i	0.582345	+	0.0922344i	0.141690	+	0.989911i	$0.454746\pi$
$744$	3.28327	+	10.1049i	0.120370	+	0.370462i
$745$	−6.13156	+	2.89750i	−0.224643	+	0.106156i
$746$	31.7685	+	23.0812i	1.16313	+	0.845063i
$747$	1.11797	−	1.11797i	0.0409043	−	0.0409043i
$748$	−3.20702	−	2.16175i	−0.117260	−	0.0790414i
$749$		−	16.3793i		−	0.598486i
$750$	1.11048	+	16.3733i	0.0405489	+	0.597868i
$751$	−13.6415	+	41.9842i	−0.497785	+	1.53202i	0.314786	+	0.949163i	$0.398067\pi$
$751$	−13.6415	+	41.9842i	−0.497785	+	1.53202i	−0.812571	+	0.582862i	$0.801933\pi$
$752$	13.4584	−	26.4136i	0.490777	−	0.963204i
$753$	−1.11251	+	7.02409i	−0.0405420	+	0.255972i
$754$	−26.7322	+	19.4221i	−0.973528	+	0.707310i
$755$	17.9221	+	9.81478i	0.652252	+	0.357196i
$756$	−0.496396	−	0.161289i	−0.0180537	−	0.00586602i
$757$	3.68540	+	23.2687i	0.133948	+	0.845716i	0.959566	+	0.281485i	$0.0908271\pi$
$757$	3.68540	+	23.2687i	0.133948	+	0.845716i	−0.825617	+	0.564230i	$0.809173\pi$
$758$	−12.4542	−	12.4542i	−0.452358	−	0.452358i
$759$	5.13042	−	2.84587i	0.186222	−	0.103298i
$760$	0.892931	−	29.9684i	0.0323900	−	1.08707i
$761$	19.7294	−	27.1552i	0.715190	−	0.984375i	−0.284480	−	0.958682i	$-0.591821\pi$
$761$	19.7294	−	27.1552i	0.715190	−	0.984375i	0.999670	−	0.0256929i	$-0.00817921\pi$
$762$	−17.5644	+	8.94949i	−0.636290	+	0.324206i
$763$	32.8658	+	16.7460i	1.18982	+	0.606245i
$764$	1.98625	+	2.73384i	0.0718602	+	0.0989070i
$765$	9.50662	+	13.9397i	0.343713	+	0.503990i
$766$	23.7829	−	7.72754i	0.859311	−	0.279207i
$767$	−2.24312	−	4.40236i	−0.0809942	−	0.158960i
$768$	−3.64199	+	0.576834i	−0.131419	+	0.0208147i
$769$	−40.0327			−1.44362			−0.721808	−	0.692093i	$-0.756689\pi$
$769$	−40.0327			−1.44362			−0.721808	+	0.692093i	$0.756689\pi$
$770$	34.9039	−	11.5506i	1.25785	−	0.416253i
$771$	−24.5482			−0.884080
$772$	−0.988595	+	0.156578i	−0.0355803	+	0.00563537i
$773$	−6.95991	−	13.6596i	−0.250330	−	0.491301i	0.731309	−	0.682046i	$-0.238910\pi$
$773$	−6.95991	−	13.6596i	−0.250330	−	0.491301i	−0.981640	+	0.190745i	$0.938910\pi$
$774$	−1.52189	+	0.494491i	−0.0547031	+	0.0177741i
$775$	−10.5623	−	16.5242i	−0.379408	−	0.593569i
$776$	−2.04379	−	2.81304i	−0.0733680	−	0.100982i
$777$	−15.1624	−	7.72564i	−0.543949	−	0.277156i
$778$	25.7010	−	13.0953i	0.921426	−	0.469490i
$779$	−0.312992	+	0.430797i	−0.0112141	+	0.0154349i
$780$	−0.560687	+	0.528242i	−0.0200758	+	0.0189141i
$781$	4.01192	−	32.7564i	0.143558	−	1.17212i
$782$	−13.8539	−	13.8539i	−0.495416	−	0.495416i
$783$	1.57972	+	9.97397i	0.0564546	+	0.356441i
$784$	−17.9595	−	5.83539i	−0.641410	−	0.208407i
$785$	−5.48418	+	1.60299i	−0.195739	+	0.0572133i
$786$	−10.0196	+	7.27963i	−0.357386	+	0.259656i
$787$	2.51392	−	15.8722i	0.0896114	−	0.565784i	−0.901503	−	0.432773i	$-0.857535\pi$
$787$	2.51392	−	15.8722i	0.0896114	−	0.565784i	0.991114	−	0.133011i	$-0.0424647\pi$
$788$	1.22699	−	2.40811i	0.0437098	−	0.0857854i
$789$	5.02184	−	15.4556i	0.178782	−	0.550235i
$790$	17.0868	+	13.2094i	0.607921	+	0.469968i
$791$		−	16.5205i		−	0.587402i
$792$	5.53335	+	7.07795i	0.196619	+	0.251504i
$793$	2.26097	−	2.26097i	0.0802895	−	0.0802895i
$794$	−7.09259	−	5.15307i	−0.251707	−	0.182876i
$795$	−10.1653	−	21.5112i	−0.360524	−	0.762925i
$796$	0.0443981	+	0.136643i	0.00157365	+	0.00484320i
$797$	5.51463	+	0.873431i	0.195338	+	0.0309385i	0.253337	−	0.967378i	$-0.418472\pi$
$797$	5.51463	+	0.873431i	0.195338	+	0.0309385i	−0.0579986	+	0.998317i	$0.518472\pi$
$798$	−24.2364	−	3.83866i	−0.857958	−	0.135887i
$799$	16.1309	+	49.6459i	0.570671	+	1.75634i
$800$	3.99713	−	1.74520i	0.141320	−	0.0617020i
$801$	6.08434	+	4.42053i	0.214979	+	0.156192i
$802$	−8.16415	+	8.16415i	−0.288286	+	0.288286i
$803$	14.0865	+	38.6660i	0.497103	+	1.36449i
$804$		−	1.35179i		−	0.0476739i
$805$	13.2510	−	1.69592i	0.467035	−	0.0597734i
$806$	3.96600	−	12.2061i	0.139696	−	0.429941i
$807$	3.48112	−	6.83208i	0.122541	−	0.240501i
$808$	0.152441	−	0.962477i	0.00536287	−	0.0338598i
$809$	−28.1366	+	20.4425i	−0.989231	+	0.718719i	−0.959753	−	0.280847i	$-0.909385\pi$
$809$	−28.1366	+	20.4425i	−0.989231	+	0.718719i	−0.0294787	+	0.999565i	$0.509385\pi$
$810$	0.920832	+	3.15036i	0.0323547	+	0.110692i
$811$	45.4265	+	14.7600i	1.59514	+	0.518293i	0.965899	−	0.258918i	$-0.0833658\pi$
$811$	45.4265	+	14.7600i	1.59514	+	0.518293i	0.629241	+	0.777210i	$0.283366\pi$
$812$	−0.824522	−	5.20583i	−0.0289351	−	0.182689i
$813$	−5.01036	−	5.01036i	−0.175721	−	0.175721i
$814$	−11.8984	−	21.4500i	−0.417039	−	0.751822i
$815$	8.26533	+	0.246272i	0.289522	+	0.00862652i
$816$	19.0060	−	26.1595i	0.665343	−	0.915766i
$817$	−4.80805	+	2.44982i	−0.168212	+	0.0857085i
$818$	2.53304	+	1.29065i	0.0885656	+	0.0451264i
$819$	−4.42538	−	6.09101i	−0.154635	−	0.212837i
$820$	−0.0365279	−	0.00690642i	−0.00127561	−	0.000241183i
$821$	−1.12805	+	0.366527i	−0.0393694	+	0.0127919i	−0.328635	−	0.944457i	$-0.606589\pi$
$821$	−1.12805	+	0.366527i	−0.0393694	+	0.0127919i	0.289266	+	0.957249i	$0.406589\pi$
$822$	5.94772	+	11.6730i	0.207450	+	0.407144i
$823$	−43.8736	+	6.94889i	−1.52934	+	0.242223i	−0.863682	−	0.504037i	$-0.831848\pi$
$823$	−43.8736	+	6.94889i	−1.52934	+	0.242223i	−0.665655	+	0.746260i	$0.731848\pi$
$824$	8.82755			0.307522
$825$	−13.1746	−	10.0713i	−0.458680	−	0.350637i
$826$	10.9878			0.382315
$827$	54.9667	−	8.70586i	1.91138	−	0.302733i	0.916192	−	0.400739i	$-0.131247\pi$
$827$	54.9667	−	8.70586i	1.91138	−	0.302733i	0.995186	+	0.0980066i	$0.0312466\pi$
$828$	−0.124107	−	0.243575i	−0.00431303	−	0.00846480i
$829$	25.5905	−	8.31486i	0.888795	−	0.288787i	0.171190	−	0.985238i	$-0.445239\pi$
$829$	25.5905	−	8.31486i	0.888795	−	0.288787i	0.717604	+	0.696451i	$0.245239\pi$
$830$	5.09893	+	0.964068i	0.176987	+	0.0334633i
$831$	−5.24356	−	7.21715i	−0.181897	−	0.250360i
$832$	−14.4797	−	7.37778i	−0.501993	−	0.255778i
$833$	29.6278	−	15.0961i	1.02654	−	0.523049i
$834$	3.63711	−	5.00605i	0.125943	−	0.173345i
$835$	20.9062	+	0.622915i	0.723488	+	0.0215569i
$836$	−1.85600	−	1.72969i	−0.0641909	−	0.0598227i
$837$	−2.77349	−	2.77349i	−0.0958659	−	0.0958659i
$838$	−2.73254	−	17.2526i	−0.0943939	−	0.595980i
$839$	−45.6559	−	14.8345i	−1.57622	−	0.512143i	−0.615137	−	0.788420i	$-0.710899\pi$
$839$	−45.6559	−	14.8345i	−1.57622	−	0.512143i	−0.961078	+	0.276277i	$0.910899\pi$
$840$	5.73939	+	19.6357i	0.198028	+	0.677495i
$841$	−59.0385	+	42.8940i	−2.03581	+	1.47910i
$842$	2.55240	−	16.1152i	0.0879614	−	0.555367i
$843$	8.78726	−	17.2460i	0.302649	−	0.593983i
$844$	0.705402	−	2.17101i	0.0242810	−	0.0747291i
$845$	17.8117	−	2.27963i	0.612742	−	0.0784216i
$846$			10.1544i			0.349114i
$847$	−14.4955	+	34.2067i	−0.498070	+	1.17536i
$848$	−32.2407	+	32.2407i	−1.10715	+	1.10715i
$849$	−1.55902	−	1.13269i	−0.0535053	−	0.0388739i
$850$	−20.2187	+	51.5566i	−0.693495	+	1.76838i
$851$	−2.75422	−	8.47663i	−0.0944136	−	0.290575i
$852$	−1.51878	−	0.240551i	−0.0520325	−	0.00824113i
$853$	−43.7357	−	6.92705i	−1.49748	−	0.237178i	−0.646719	−	0.762728i	$-0.723859\pi$
$853$	−43.7357	−	6.92705i	−1.49748	−	0.237178i	−0.850762	+	0.525551i	$0.823859\pi$
$854$	2.19735	+	6.76275i	0.0751918	+	0.231417i
$855$	4.72889	+	10.0071i	0.161725	+	0.342234i
$856$	10.6281	+	7.72173i	0.363259	+	0.263923i
$857$	−25.8728	+	25.8728i	−0.883798	+	0.883798i	−0.993918	−	0.110120i	$-0.964876\pi$
$857$	−25.8728	+	25.8728i	−0.883798	+	0.883798i	0.110120	+	0.993918i	$0.464876\pi$
$858$	−0.382024	−	10.8456i	−0.0130421	−	0.370264i
$859$		−	38.2034i		−	1.30348i	−0.758442	−	0.651741i	$-0.774039\pi$
$859$		−	38.2034i		−	1.30348i	0.758442	−	0.651741i	$-0.225961\pi$
$860$	−0.298047	−	0.230412i	−0.0101633	−	0.00785700i
$861$	0.112276	−	0.345551i	0.00382637	−	0.0117764i
$862$	15.2655	−	29.9603i	0.519946	−	1.02045i
$863$	4.21679	−	26.6238i	0.143541	−	0.906284i	−0.805834	−	0.592141i	$-0.798283\pi$
$863$	4.21679	−	26.6238i	0.143541	−	0.906284i	0.949376	−	0.314143i	$-0.101717\pi$
$864$	0.705707	−	0.512726i	0.0240086	−	0.0174433i
$865$	−5.95550	+	1.74076i	−0.202493	+	0.0591876i
$866$	22.3938	+	7.27618i	0.760971	+	0.247255i
$867$	6.24769	+	39.4463i	0.212183	+	1.33967i
$868$	1.44760	+	1.44760i	0.0491347	+	0.0491347i
$869$	−21.4218	+	4.17070i	−0.726685	+	0.141481i
$870$	−24.1243	+	22.7282i	−0.817889	+	0.770560i
$871$	11.4614	−	15.7753i	0.388355	−	0.534524i
$872$	−26.3600	+	13.4311i	−0.892663	+	0.454835i
$873$	1.14371	+	0.582752i	0.0387089	+	0.0197232i
$874$	−7.55432	−	10.3976i	−0.255529	−	0.351705i
$875$	−19.3802	−	32.4076i	−0.655169	−	1.09558i
$876$	1.82366	−	0.592542i	0.0616156	−	0.0200201i
$877$	8.77256	+	17.2171i	0.296228	+	0.581381i	0.990368	−	0.138460i	$-0.0442151\pi$
$877$	8.77256	+	17.2171i	0.296228	+	0.581381i	−0.694140	+	0.719840i	$0.744215\pi$
$878$	−33.2532	+	5.26678i	−1.12224	+	0.177745i
$879$	0.242597			0.00818260
$880$	−9.65650	+	30.2773i	−0.325520	+	1.02065i
$881$	0.721584			0.0243108			0.0121554	−	0.999926i	$-0.496131\pi$
$881$	0.721584			0.0243108			0.0121554	+	0.999926i	$0.496131\pi$
$882$	6.38872	−	1.01187i	0.215119	−	0.0340716i
$883$	−6.39595	−	12.5528i	−0.215241	−	0.422434i	0.757989	−	0.652267i	$-0.226182\pi$
$883$	−6.39595	−	12.5528i	−0.215241	−	0.422434i	−0.973230	+	0.229833i	$0.926182\pi$
$884$	−2.47229	+	0.803297i	−0.0831522	+	0.0270178i
$885$	−2.79241	−	4.09454i	−0.0938657	−	0.137636i
$886$	−6.62899	−	9.12402i	−0.222705	−	0.306528i
$887$	7.96559	+	4.05867i	0.267458	+	0.136277i	0.582577	−	0.812775i	$-0.302044\pi$
$887$	7.96559	+	4.05867i	0.267458	+	0.136277i	−0.315119	+	0.949052i	$0.602044\pi$
$888$	12.1610	−	6.19635i	0.408097	−	0.207936i
$889$	26.6608	−	36.6955i	0.894176	−	1.23073i
$890$	−0.735156	+	24.6732i	−0.0246425	+	0.827047i
$891$	−3.00631	−	1.40076i	−0.100715	−	0.0469271i
$892$	−0.618079	−	0.618079i	−0.0206948	−	0.0206948i
$893$	5.35670	+	33.8209i	0.179255	+	1.13177i
$894$	−4.23387	−	1.37567i	−0.141602	−	0.0460092i
$895$	6.24729	+	3.42124i	0.208824	+	0.114359i
$896$	34.0046	−	24.7058i	1.13601	−	0.825362i
$897$	0.616870	−	3.89476i	0.0205967	−	0.130042i
$898$	−2.08498	+	4.09200i	−0.0695767	+	0.136552i
$899$	12.2397	−	37.6701i	0.408218	−	1.25637i
$900$	−0.490595	+	0.596977i	−0.0163532	+	0.0198992i
$901$		−	80.2878i		−	2.67477i
$902$	0.412600	−	0.322559i	0.0137381	−	0.0107400i
$903$	2.60354	−	2.60354i	0.0866404	−	0.0866404i
$904$	10.7197	+	7.78832i	0.356532	+	0.259036i
$905$	40.5558	−	19.1649i	1.34812	−	0.637062i
$906$	4.14495	+	12.7568i	0.137707	+	0.423818i
$907$	10.1201	+	1.60287i	0.336032	+	0.0532223i	0.322171	−	0.946682i	$-0.395588\pi$
$907$	10.1201	+	1.60287i	0.336032	+	0.0532223i	0.0138617	+	0.999904i	$0.495588\pi$
$908$	−1.93778	−	0.306914i	−0.0643074	−	0.0101853i
$909$	0.111166	+	0.342133i	0.00368713	+	0.0113478i
$910$	8.33274	−	23.2639i	0.276228	−	0.771191i
$911$	−37.9346	−	27.5611i	−1.25683	−	0.913140i	−0.258232	−	0.966083i	$-0.583140\pi$
$911$	−37.9346	−	27.5611i	−1.25683	−	0.913140i	−0.998598	+	0.0529424i	$0.983140\pi$
$912$	14.9984	−	14.9984i	0.496647	−	0.496647i
$913$	−4.13114	+	3.22962i	−0.136721	+	0.106885i
$914$			31.7452i			1.05004i
$915$	1.96167	−	2.53749i	0.0648507	−	0.0838868i
$916$	−0.992121	+	3.05343i	−0.0327806	+	0.100888i
$917$	12.9372	−	25.3907i	0.427225	−	0.838476i
$918$	−1.73265	+	10.9395i	−0.0571860	+	0.361058i
$919$	−17.2946	+	12.5653i	−0.570498	+	0.414491i	−0.835286	−	0.549816i	$-0.814698\pi$
$919$	−17.2946	+	12.5653i	−0.570498	+	0.414491i	0.264788	+	0.964307i	$0.414698\pi$
$920$	−5.14651	+	9.39769i	−0.169675	+	0.309833i
$921$	−20.3311	−	6.60598i	−0.669933	−	0.217674i
$922$	6.18918	+	39.0770i	0.203830	+	1.28693i
$923$	−15.6845	−	15.6845i	−0.516260	−	0.516260i
$924$	1.56912	+	0.731113i	0.0516201	+	0.0240519i
$925$	−18.8430	+	16.7218i	−0.619556	+	0.549809i
$926$	−16.5730	+	22.8108i	−0.544623	+	0.749609i
$927$	−2.90362	+	1.47947i	−0.0953673	+	0.0485920i
$928$	7.84866	+	3.99909i	0.257645	+	0.131277i
$929$	−1.65483	−	2.27768i	−0.0542933	−	0.0747283i	0.781007	−	0.624522i	$-0.214706\pi$
$929$	−1.65483	−	2.27768i	−0.0542933	−	0.0747283i	−0.835300	+	0.549794i	$0.814706\pi$
$930$	2.39169	−	12.6496i	0.0784267	−	0.414797i
$931$	20.7450	−	6.74045i	0.679889	−	0.220909i
$932$	1.11306	+	2.18451i	0.0364596	+	0.0715561i
$933$	0.828365	−	0.131200i	0.0271195	−	0.00429530i
$934$	41.6714			1.36353
$935$	−25.6756	−	49.7228i	−0.839681	−	1.62611i
$936$	6.03856			0.197376
$937$	7.86407	−	1.24555i	0.256908	−	0.0406902i	−0.0266518	−	0.999645i	$-0.508485\pi$
$937$	7.86407	−	1.24555i	0.256908	−	0.0406902i	0.283560	+	0.958955i	$0.408485\pi$
$938$	19.6867	+	38.6373i	0.642793	+	1.26155i
$939$	27.0740	−	8.79687i	0.883526	−	0.287075i
$940$	−1.97500	+	1.34692i	−0.0644175	+	0.0439317i
$941$	24.3553	+	33.5222i	0.793960	+	1.09279i	0.993604	+	0.112923i	$0.0360215\pi$
$941$	24.3553	+	33.5222i	0.793960	+	1.09279i	−0.199644	+	0.979869i	$0.563979\pi$
$942$	−3.34185	−	1.70276i	−0.108883	−	0.0554788i
$943$	0.169557	−	0.0863938i	0.00552155	−	0.00281337i
$944$	−5.58269	+	7.68391i	−0.181701	+	0.250090i
$945$	−5.17870	−	5.49679i	−0.168463	−	0.178811i
$946$	5.20947	−	1.01425i	0.169374	−	0.0329762i
$947$	25.4432	+	25.4432i	0.826792	+	0.826792i	0.987072	−	0.160280i	$-0.0512396\pi$
$947$	25.4432	+	25.4432i	0.826792	+	0.826792i	−0.160280	+	0.987072i	$0.551240\pi$
$948$	0.159079	+	1.00438i	0.00516664	+	0.0326209i
$949$	26.3059	+	8.54730i	0.853925	+	0.277457i
$950$	−18.3903	+	31.3288i	−0.596660	+	1.01644i
$951$	−24.4143	+	17.7381i	−0.791689	+	0.575196i
$952$	−10.7993	+	68.1842i	−0.350008	+	2.20986i
$953$	7.59325	−	14.9026i	0.245970	−	0.482743i	−0.734705	−	0.678386i	$-0.762680\pi$
$953$	7.59325	−	14.9026i	0.245970	−	0.482743i	0.980675	+	0.195644i	$0.0626796\pi$
$954$	4.82623	−	14.8536i	0.156255	−	0.480903i
$955$	6.20712	+	48.4989i	0.200858	+	1.56939i
$956$			0.394080i			0.0127455i
$957$	−1.17899	−	33.4715i	−0.0381113	−	1.08198i
$958$	−5.13492	+	5.13492i	−0.165902	+	0.165902i
$959$	−24.3873	−	17.7184i	−0.787508	−	0.572158i
$960$	−15.3462	−	5.49675i	−0.495297	−	0.177407i
$961$	−4.82545	−	14.8512i	−0.155660	−	0.479072i
$962$	−16.2838	−	2.57910i	−0.525010	−	0.0831535i
$963$	−4.78998	−	0.758659i	−0.154355	−	0.0244474i
$964$	0.660976	+	2.03428i	0.0212886	+	0.0655196i
$965$	−13.6342	−	4.88356i	−0.438902	−	0.157207i
$966$	7.09456	+	5.15450i	0.228264	+	0.165843i
$967$	6.43937	−	6.43937i	0.207076	−	0.207076i	−0.595947	−	0.803024i	$-0.703223\pi$
$967$	6.43937	−	6.43937i	0.207076	−	0.207076i	0.803024	+	0.595947i	$0.203223\pi$
$968$	−15.3621	−	25.5318i	−0.493757	−	0.820625i
$969$			37.3500i			1.19986i
$970$	0.534846	+	4.17899i	0.0171729	+	0.134179i
$971$	−15.7425	+	48.4506i	−0.505202	+	1.55485i	0.295228	+	0.955427i	$0.404604\pi$
$971$	−15.7425	+	48.4506i	−0.505202	+	1.55485i	−0.800430	+	0.599426i	$0.795396\pi$
$972$	−0.0701597	+	0.137696i	−0.00225037	+	0.00441661i
$973$	−2.22727	+	14.0624i	−0.0714030	+	0.450821i
$974$	−27.1388	+	19.7175i	−0.869584	+	0.631790i
$975$	−10.7868	+	2.80707i	−0.345454	+	0.0898982i
$976$	−5.84570	−	1.89938i	−0.187116	−	0.0607977i
$977$	−2.88432	−	18.2109i	−0.0922776	−	0.582618i	−0.989891	−	0.141833i	$-0.954700\pi$
$977$	−2.88432	−	18.2109i	−0.0922776	−	0.582618i	0.897613	−	0.440784i	$-0.145300\pi$
$978$	3.83822	+	3.83822i	0.122733	+	0.122733i
$979$	−18.2474	−	17.0057i	−0.583191	−	0.543504i
$980$	1.04424	+	1.10837i	0.0333569	+	0.0354057i
$981$	6.41951	−	8.83570i	0.204959	−	0.282102i
$982$	55.3992	−	28.2273i	1.76786	−	0.900769i
$983$	20.0558	+	10.2189i	0.639680	+	0.325933i	0.743573	−	0.668655i	$-0.233130\pi$
$983$	20.0558	+	10.2189i	0.639680	+	0.325933i	−0.103893	+	0.994589i	$0.533130\pi$
$984$	0.171288	+	0.235757i	0.00546045	+	0.00751567i
$985$	32.3077	−	22.0333i	1.02941	−	0.702039i
$986$	−106.373	+	34.5628i	−3.38762	+	1.10070i
$987$	−10.6073	−	20.8179i	−0.337633	−	0.662641i
$988$	−1.68423	+	0.266756i	−0.0535825	+	0.00848664i
$989$	1.92845			0.0613212
$990$	−1.76118	−	10.7423i	−0.0559740	−	0.341414i
$991$	−27.0111			−0.858036			−0.429018	−	0.903296i	$-0.641140\pi$
$991$	−27.0111			−0.858036			−0.429018	+	0.903296i	$0.641140\pi$
$992$	−3.37931	+	0.535231i	−0.107293	+	0.0169936i
$993$	14.6754	+	28.8021i	0.465711	+	0.914008i
$994$	46.9135	−	15.2431i	1.48800	−	0.483482i
$995$	−0.386213	+	2.04267i	−0.0122438	+	0.0647571i
$996$	0.143616	+	0.197671i	0.00455066	+	0.00626345i
$997$	22.4450	+	11.4363i	0.710840	+	0.362191i	0.771727	−	0.635953i	$-0.219393\pi$
$997$	22.4450	+	11.4363i	0.710840	+	0.362191i	−0.0608870	+	0.998145i	$0.519393\pi$
$998$	−2.84827	+	1.45127i	−0.0901605	+	0.0459391i
$999$	−2.96160	+	4.07629i	−0.0937007	+	0.128968i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.w.a.7.3	✓	96
3.2	odd	2		495.2.bj.c.172.10		96
5.2	odd	4		825.2.cw.b.568.3		96
5.3	odd	4	inner	165.2.w.a.73.10	yes	96
5.4	even	2		825.2.cw.b.7.10		96
11.8	odd	10	inner	165.2.w.a.52.10	yes	96
15.8	even	4		495.2.bj.c.73.3		96
33.8	even	10		495.2.bj.c.217.3		96
55.8	even	20	inner	165.2.w.a.118.3	yes	96
55.19	odd	10		825.2.cw.b.382.3		96
55.52	even	20		825.2.cw.b.118.10		96
165.8	odd	20		495.2.bj.c.118.10		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.w.a.7.3	✓	96	1.1	even	1	trivial
165.2.w.a.52.10	yes	96	11.8	odd	10	inner
165.2.w.a.73.10	yes	96	5.3	odd	4	inner
165.2.w.a.118.3	yes	96	55.8	even	20	inner
495.2.bj.c.73.3		96	15.8	even	4
495.2.bj.c.118.10		96	165.8	odd	20
495.2.bj.c.172.10		96	3.2	odd	2
495.2.bj.c.217.3		96	33.8	even	10
825.2.cw.b.7.10		96	5.4	even	2
825.2.cw.b.118.10		96	55.52	even	20
825.2.cw.b.382.3		96	55.19	odd	10
825.2.cw.b.568.3		96	5.2	odd	4

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.44976 + 0.229620i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(0.146976 - 0.0477555i) q^{4} +(2.19714 + 0.415419i) q^{5} +(0.862772 + 1.18750i) q^{6} +(-3.00927 - 1.53330i) q^{7} +(2.41359 - 1.22978i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(-1.44976 + 0.229620i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(0.146976 - 0.0477555i) q^{4} +(2.19714 + 0.415419i) q^{5} +(0.862772 + 1.18750i) q^{6} +(-3.00927 - 1.53330i) q^{7} +(2.41359 - 1.22978i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-3.28072 - 0.0977516i) q^{10} +(2.26120 - 2.42631i) q^{11} +(-0.109276 - 0.109276i) q^{12} +(-0.348725 - 2.20177i) q^{13} +(4.71481 + 1.53193i) q^{14} +(-0.627340 - 2.14626i) q^{15} +(-3.46680 + 2.51878i) q^{16} +(1.18041 - 7.45283i) q^{17} +(0.666383 - 1.30785i) q^{18} +(1.52958 - 4.70756i) q^{19} +(0.342766 - 0.0438688i) q^{20} +3.37739i q^{21} +(-2.72107 + 4.03679i) q^{22} +(-1.25082 + 1.25082i) q^{23} +(-2.19149 - 1.59221i) q^{24} +(4.65485 + 1.82547i) q^{25} +(1.01114 + 3.11197i) q^{26} +(0.987688 + 0.156434i) q^{27} +(-0.515515 - 0.0816496i) q^{28} +(3.12055 + 9.60405i) q^{29} +(1.40232 + 2.96752i) q^{30} +(-3.17321 - 2.30548i) q^{31} +(0.616810 - 0.616810i) q^{32} +(-3.18842 - 0.913221i) q^{33} +11.0759i q^{34} +(-5.97483 - 4.61899i) q^{35} +(-0.0477555 + 0.146976i) q^{36} +(-2.28746 + 4.48940i) q^{37} +(-1.13658 + 7.17607i) q^{38} +(-1.80347 + 1.31030i) q^{39} +(5.81386 - 1.69936i) q^{40} +(-0.102313 - 0.0332436i) q^{41} +(-0.775515 - 4.89641i) q^{42} +(-0.770874 - 0.770874i) q^{43} +(0.216473 - 0.464595i) q^{44} +(-1.62753 + 1.53335i) q^{45} +(1.52618 - 2.10061i) q^{46} +(-6.16391 + 3.14067i) q^{47} +(3.81814 + 1.94544i) q^{48} +(2.59021 + 3.56512i) q^{49} +(-7.16760 - 1.57765i) q^{50} +(-7.17642 + 2.33176i) q^{51} +(-0.156401 - 0.306954i) q^{52} +(10.5092 - 1.66449i) q^{53} -1.46784 q^{54} +(5.97611 - 4.39160i) q^{55} -9.14877 q^{56} +(-4.88888 + 0.774323i) q^{57} +(-6.72934 - 13.2071i) q^{58} +(2.10795 - 0.684914i) q^{59} +(-0.194700 - 0.285491i) q^{60} +(0.843097 + 1.16042i) q^{61} +(5.12979 + 2.61376i) q^{62} +(3.00927 - 1.53330i) q^{63} +(4.28495 - 5.89773i) q^{64} +(0.148456 - 4.98246i) q^{65} +(4.83215 + 0.591830i) q^{66} +(6.18518 + 6.18518i) q^{67} +(-0.182421 - 1.15176i) q^{68} +(1.68235 + 0.546629i) q^{69} +(9.72271 + 5.32450i) q^{70} +(8.04991 - 5.84860i) q^{71} +(-0.423755 + 2.67548i) q^{72} +(-5.63303 + 11.0554i) q^{73} +(2.28542 - 7.03381i) q^{74} +(-0.486757 - 4.97625i) q^{75} -0.764946i q^{76} +(-10.5248 + 3.83433i) q^{77} +(2.31373 - 2.31373i) q^{78} +(-5.32349 - 3.86774i) q^{79} +(-8.66339 + 4.09393i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(0.155963 + 0.0247022i) q^{82} +(-1.56158 - 0.247330i) q^{83} +(0.161289 + 0.496396i) q^{84} +(5.68958 - 15.8845i) q^{85} +(1.29459 + 0.940578i) q^{86} +(7.14057 - 7.14057i) q^{87} +(2.47376 - 8.63689i) q^{88} -7.52065i q^{89} +(2.00744 - 2.59670i) q^{90} +(-2.32656 + 7.16041i) q^{91} +(-0.124107 + 0.243575i) q^{92} +(-0.613584 + 3.87402i) q^{93} +(8.21506 - 5.96859i) q^{94} +(5.31631 - 9.70775i) q^{95} +(-0.829608 - 0.269556i) q^{96} +(-0.200803 - 1.26782i) q^{97} +(-4.57382 - 4.57382i) q^{98} +(0.633827 + 3.25550i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) \) 96 * q - 8 * q^5 - 20 * q^7	\( 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) \) 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

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