LMFDB - Embedded newform 150.2.l.a.83.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [150,2,Mod(17,150)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(150, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 13]))

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

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

chi := DirichletCharacter("150.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 150 = 2 \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	150.l (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:	$1.19775603032$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			83.9
Character	$\chi$	$=$	150.83
Dual form			150.2.l.a.47.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.453990 - 0.891007i) q^{2} +(1.60692 - 0.646378i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-1.92065 + 1.14503i) q^{5} +(0.153600 - 1.72523i) q^{6} +(2.03922 - 2.03922i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(2.16439 - 2.07736i) q^{9} +O(q^{10})$	\(q+(0.453990 - 0.891007i) q^{2} +(1.60692 - 0.646378i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-1.92065 + 1.14503i) q^{5} +(0.153600 - 1.72523i) q^{6} +(2.03922 - 2.03922i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(2.16439 - 2.07736i) q^{9} +(0.148273 + 2.23115i) q^{10} +(2.60836 - 0.847507i) q^{11} +(-1.46746 - 0.920095i) q^{12} +(-5.27002 + 2.68521i) q^{13} +(-0.891173 - 2.74275i) q^{14} +(-2.34621 + 3.08144i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(0.936136 + 5.91053i) q^{17} +(-0.868327 - 2.87159i) q^{18} +(-3.04743 + 4.19443i) q^{19} +(2.05528 + 0.880807i) q^{20} +(1.95876 - 4.59498i) q^{21} +(0.429036 - 2.70883i) q^{22} +(-1.01194 - 0.515607i) q^{23} +(-1.48602 + 0.889798i) q^{24} +(2.37780 - 4.39841i) q^{25} +5.91469i q^{26} +(2.13524 - 4.73716i) q^{27} +(-2.84839 - 0.451141i) q^{28} +(-2.34612 + 1.70456i) q^{29} +(1.68043 + 3.48944i) q^{30} +(4.56563 + 3.31712i) q^{31} +(0.707107 + 0.707107i) q^{32} +(3.64362 - 3.04786i) q^{33} +(5.69132 + 1.84922i) q^{34} +(-1.58166 + 6.25161i) q^{35} +(-2.95281 - 0.529988i) q^{36} +(-3.66336 - 7.18975i) q^{37} +(2.35376 + 4.61952i) q^{38} +(-6.73285 + 7.72135i) q^{39} +(1.71788 - 1.43139i) q^{40} +(5.02666 + 1.63326i) q^{41} +(-3.20490 - 3.83135i) q^{42} +(-3.10789 - 3.10789i) q^{43} +(-2.21880 - 1.61205i) q^{44} +(-1.77840 + 6.46818i) q^{45} +(-0.918819 + 0.667561i) q^{46} +(-4.58484 - 0.726167i) q^{47} +(0.118176 + 1.72801i) q^{48} -1.31687i q^{49} +(-2.83952 - 4.11548i) q^{50} +(5.32473 + 8.89266i) q^{51} +(5.27002 + 2.68521i) q^{52} +(0.837944 - 5.29057i) q^{53} +(-3.25146 - 4.05314i) q^{54} +(-4.03933 + 4.61442i) q^{55} +(-1.69511 + 2.33312i) q^{56} +(-2.18579 + 8.70992i) q^{57} +(0.453655 + 2.86426i) q^{58} +(0.912145 - 2.80729i) q^{59} +(3.87201 + 0.0868978i) q^{60} +(-1.41844 - 4.36552i) q^{61} +(5.02833 - 2.56206i) q^{62} +(0.177478 - 8.64987i) q^{63} +(0.951057 - 0.309017i) q^{64} +(7.04723 - 11.1917i) q^{65} +(-1.06150 - 4.63019i) q^{66} +(-0.455818 + 0.0721944i) q^{67} +(4.23147 - 4.23147i) q^{68} +(-1.95938 - 0.174447i) q^{69} +(4.85217 + 4.24744i) q^{70} +(-3.36294 - 4.62869i) q^{71} +(-1.81277 + 2.39037i) q^{72} +(4.12620 - 8.09812i) q^{73} -8.06924 q^{74} +(0.977903 - 8.60487i) q^{75} +5.18460 q^{76} +(3.59077 - 7.04728i) q^{77} +(3.82312 + 9.50443i) q^{78} +(6.90557 + 9.50470i) q^{79} +(-0.495476 - 2.18048i) q^{80} +(0.369168 - 8.99243i) q^{81} +(3.73730 - 3.73730i) q^{82} +(-11.9275 + 1.88912i) q^{83} +(-4.86875 + 1.11619i) q^{84} +(-8.56574 - 10.2802i) q^{85} +(-4.18011 + 1.35820i) q^{86} +(-2.66824 + 4.25557i) q^{87} +(-2.44367 + 1.24511i) q^{88} +(-0.402182 - 1.23779i) q^{89} +(4.95581 + 4.52105i) q^{90} +(-5.27101 + 16.2225i) q^{91} +(0.177666 + 1.12174i) q^{92} +(9.48072 + 2.37923i) q^{93} +(-2.72849 + 3.75545i) q^{94} +(1.05030 - 11.5455i) q^{95} +(1.59332 + 0.679206i) q^{96} +(1.03381 - 6.52722i) q^{97} +(-1.17334 - 0.597845i) q^{98} +(3.88493 - 7.25283i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) $ 80 * q + 4 * q^3 + 4 * q^7	$ 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) $ 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/150\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$-1$	$e\left(\frac{3}{20}\right)$

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 $

$2$	0.453990	−	0.891007i	0.321020	−	0.630037i
$2$	0.453990	−	0.891007i	0.321020	−	0.630037i
$3$	1.60692	−	0.646378i	0.927756	−	0.373187i
$3$	1.60692	−	0.646378i	0.927756	−	0.373187i
$4$	−0.587785	−	0.809017i	−0.293893	−	0.404508i
$5$	−1.92065	+	1.14503i	−0.858941	+	0.512074i
$5$	−1.92065	+	1.14503i	−0.858941	+	0.512074i
$6$	0.153600	−	1.72523i	0.0627067	−	0.704321i
$7$	2.03922	−	2.03922i	0.770754	−	0.770754i	−0.207484	−	0.978238i	$-0.566528\pi$
$7$	2.03922	−	2.03922i	0.770754	−	0.770754i	0.978238	+	0.207484i	$0.0665276\pi$
$8$	−0.987688	+	0.156434i	−0.349201	+	0.0553079i
$9$	2.16439	−	2.07736i	0.721463	−	0.692453i
$10$	0.148273	+	2.23115i	0.0468882	+	0.705550i
$11$	2.60836	−	0.847507i	0.786450	−	0.255533i	0.111858	−	0.993724i	$-0.464320\pi$
$11$	2.60836	−	0.847507i	0.786450	−	0.255533i	0.674592	+	0.738191i	$0.264320\pi$
$12$	−1.46746	−	0.920095i	−0.423618	−	0.265608i
$13$	−5.27002	+	2.68521i	−1.46164	+	0.744744i	−0.990526	−	0.137328i	$-0.956149\pi$
$13$	−5.27002	+	2.68521i	−1.46164	+	0.744744i	−0.471116	+	0.882071i	$0.656149\pi$
$14$	−0.891173	−	2.74275i	−0.238176	−	0.733031i
$15$	−2.34621	+	3.08144i	−0.605789	+	0.795625i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	0.936136	+	5.91053i	0.227046	+	1.43351i	0.793073	+	0.609127i	$0.208480\pi$
$17$	0.936136	+	5.91053i	0.227046	+	1.43351i	−0.566026	+	0.824387i	$0.691520\pi$
$18$	−0.868327	−	2.87159i	−0.204667	−	0.676839i
$19$	−3.04743	+	4.19443i	−0.699129	+	0.962269i	0.300834	+	0.953677i	$0.402735\pi$
$19$	−3.04743	+	4.19443i	−0.699129	+	0.962269i	−0.999963	+	0.00859233i	$0.997265\pi$
$20$	2.05528	+	0.880807i	0.459575	+	0.196954i
$21$	1.95876	−	4.59498i	0.427437	−	1.00271i
$22$	0.429036	−	2.70883i	0.0914707	−	0.577523i
$23$	−1.01194	−	0.515607i	−0.211003	−	0.107512i	0.345295	−	0.938494i	$-0.387779\pi$
$23$	−1.01194	−	0.515607i	−0.211003	−	0.107512i	−0.556298	+	0.830983i	$0.687779\pi$
$24$	−1.48602	+	0.889798i	−0.303333	+	0.181629i
$25$	2.37780	−	4.39841i	0.475561	−	0.879683i
$26$			5.91469i			1.15997i
$27$	2.13524	−	4.73716i	0.410928	−	0.911668i
$28$	−2.84839	−	0.451141i	−0.538296	−	0.0852576i
$29$	−2.34612	+	1.70456i	−0.435664	+	0.316528i	−0.783910	−	0.620875i	$-0.786777\pi$
$29$	−2.34612	+	1.70456i	−0.435664	+	0.316528i	0.348246	+	0.937403i	$0.386777\pi$
$30$	1.68043	+	3.48944i	0.306803	+	0.637081i
$31$	4.56563	+	3.31712i	0.820011	+	0.595773i	0.916716	−	0.399540i	$-0.130830\pi$
$31$	4.56563	+	3.31712i	0.820011	+	0.595773i	−0.0967046	+	0.995313i	$0.530830\pi$
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	3.64362	−	3.04786i	0.634272	−	0.530565i
$34$	5.69132	+	1.84922i	0.976053	+	0.317139i
$35$	−1.58166	+	6.25161i	−0.267350	+	1.05672i
$36$	−2.95281	−	0.529988i	−0.492136	−	0.0883313i
$37$	−3.66336	−	7.18975i	−0.602253	−	1.18199i	−0.967924	−	0.251243i	$-0.919161\pi$
$37$	−3.66336	−	7.18975i	−0.602253	−	1.18199i	0.365671	−	0.930744i	$-0.380839\pi$
$38$	2.35376	+	4.61952i	0.381830	+	0.749384i
$39$	−6.73285	+	7.72135i	−1.07812	+	1.23641i
$40$	1.71788	−	1.43139i	0.271621	−	0.226323i
$41$	5.02666	+	1.63326i	0.785033	+	0.255073i	0.673988	−	0.738743i	$-0.264580\pi$
$41$	5.02666	+	1.63326i	0.785033	+	0.255073i	0.111045	+	0.993815i	$0.464580\pi$
$42$	−3.20490	−	3.83135i	−0.494527	−	0.591190i
$43$	−3.10789	−	3.10789i	−0.473950	−	0.473950i	0.429241	−	0.903190i	$-0.358781\pi$
$43$	−3.10789	−	3.10789i	−0.473950	−	0.473950i	−0.903190	+	0.429241i	$0.858781\pi$
$44$	−2.21880	−	1.61205i	−0.334497	−	0.243026i
$45$	−1.77840	+	6.46818i	−0.265108	+	0.964219i
$46$	−0.918819	+	0.667561i	−0.135473	+	0.0984265i
$47$	−4.58484	−	0.726167i	−0.668768	−	0.105922i	−0.187187	−	0.982324i	$-0.559937\pi$
$47$	−4.58484	−	0.726167i	−0.668768	−	0.105922i	−0.481581	+	0.876402i	$0.659937\pi$
$48$	0.118176	+	1.72801i	0.0170573	+	0.249417i
$49$		−	1.31687i		−	0.188124i
$50$	−2.83952	−	4.11548i	−0.401568	−	0.582016i
$51$	5.32473	+	8.89266i	0.745612	+	1.24522i
$52$	5.27002	+	2.68521i	0.730821	+	0.372372i
$53$	0.837944	−	5.29057i	0.115100	−	0.726715i	−0.860872	−	0.508821i	$-0.830081\pi$
$53$	0.837944	−	5.29057i	0.115100	−	0.726715i	0.975972	−	0.217894i	$-0.0699187\pi$
$54$	−3.25146	−	4.05314i	−0.442468	−	0.551563i
$55$	−4.03933	+	4.61442i	−0.544663	+	0.622208i
$56$	−1.69511	+	2.33312i	−0.226519	+	0.311777i
$57$	−2.18579	+	8.70992i	−0.289516	+	1.15366i
$58$	0.453655	+	2.86426i	0.0595678	+	0.376096i
$59$	0.912145	−	2.80729i	0.118751	−	0.365478i	−0.873960	−	0.485998i	$-0.838456\pi$
$59$	0.912145	−	2.80729i	0.118751	−	0.365478i	0.992711	+	0.120520i	$0.0384562\pi$
$60$	3.87201	+	0.0868978i	0.499874	+	0.0112185i
$61$	−1.41844	−	4.36552i	−0.181613	−	0.558947i	0.818261	−	0.574847i	$-0.194939\pi$
$61$	−1.41844	−	4.36552i	−0.181613	−	0.558947i	−0.999874	+	0.0159002i	$0.994939\pi$
$62$	5.02833	−	2.56206i	0.638599	−	0.325382i
$63$	0.177478	−	8.64987i	0.0223601	−	1.08978i
$64$	0.951057	−	0.309017i	0.118882	−	0.0386271i
$65$	7.04723	−	11.1917i	0.874101	−	1.38816i
$66$	−1.06150	−	4.63019i	−0.130662	−	0.569937i
$67$	−0.455818	+	0.0721944i	−0.0556870	+	0.00881995i	−0.184216	−	0.982886i	$-0.558975\pi$
$67$	−0.455818	+	0.0721944i	−0.0556870	+	0.00881995i	0.128529	+	0.991706i	$0.458975\pi$
$68$	4.23147	−	4.23147i	0.513141	−	0.513141i
$69$	−1.95938	−	0.174447i	−0.235882	−	0.0210009i
$70$	4.85217	+	4.24744i	0.579945	+	0.507667i
$71$	−3.36294	−	4.62869i	−0.399107	−	0.549324i	0.561412	−	0.827536i	$-0.310258\pi$
$71$	−3.36294	−	4.62869i	−0.399107	−	0.549324i	−0.960520	+	0.278212i	$0.910258\pi$
$72$	−1.81277	+	2.39037i	−0.213637	+	0.281707i
$73$	4.12620	−	8.09812i	0.482935	−	0.947814i	−0.513055	−	0.858356i	$-0.671486\pi$
$73$	4.12620	−	8.09812i	0.482935	−	0.947814i	0.995991	−	0.0894583i	$-0.0285136\pi$
$74$	−8.06924			−0.938031
$75$	0.977903	−	8.60487i	0.112918	−	0.993604i
$76$	5.18460			0.594715
$77$	3.59077	−	7.04728i	0.409206	−	0.803113i
$78$	3.82312	+	9.50443i	0.432884	+	1.07617i
$79$	6.90557	+	9.50470i	0.776937	+	1.06936i	0.995613	+	0.0935650i	$0.0298263\pi$
$79$	6.90557	+	9.50470i	0.776937	+	1.06936i	−0.218676	+	0.975798i	$0.570174\pi$
$80$	−0.495476	−	2.18048i	−0.0553959	−	0.243785i
$81$	0.369168	−	8.99243i	0.0410187	−	0.999158i
$82$	3.73730	−	3.73730i	0.412716	−	0.412716i
$83$	−11.9275	+	1.88912i	−1.30921	+	0.207358i	−0.771747	−	0.635930i	$-0.780617\pi$
$83$	−11.9275	+	1.88912i	−1.30921	+	0.207358i	−0.537462	+	0.843288i	$0.680617\pi$
$84$	−4.86875	+	1.11619i	−0.531224	+	0.121786i
$85$	−8.56574	−	10.2802i	−0.929084	−	1.11504i
$86$	−4.18011	+	1.35820i	−0.450753	+	0.146458i
$87$	−2.66824	+	4.25557i	−0.286066	+	0.456245i
$88$	−2.44367	+	1.24511i	−0.260496	+	0.132729i
$89$	−0.402182	−	1.23779i	−0.0426312	−	0.131205i	0.927476	−	0.373884i	$-0.121974\pi$
$89$	−0.402182	−	1.23779i	−0.0426312	−	0.131205i	−0.970107	+	0.242678i	$0.921974\pi$
$90$	4.95581	+	4.52105i	0.522388	+	0.476561i
$91$	−5.27101	+	16.2225i	−0.552552	+	1.70058i
$92$	0.177666	+	1.12174i	0.0185230	+	0.116950i
$93$	9.48072	+	2.37923i	0.983105	+	0.246715i
$94$	−2.72849	+	3.75545i	−0.281423	+	0.387345i
$95$	1.05030	−	11.5455i	0.107758	−	1.18454i
$96$	1.59332	+	0.679206i	0.162618	+	0.0693212i
$97$	1.03381	−	6.52722i	0.104967	−	0.662738i	−0.877959	−	0.478737i	$-0.841095\pi$
$97$	1.03381	−	6.52722i	0.104967	−	0.662738i	0.982926	−	0.184002i	$-0.0589052\pi$
$98$	−1.17334	−	0.597845i	−0.118525	−	0.0603915i
$99$	3.88493	−	7.25283i	0.390450	−	0.728937i
$100$	−4.95603	+	0.661639i	−0.495603	+	0.0661639i
$101$		−	3.52971i		−	0.351219i	−0.984460	−	0.175610i	$-0.943810\pi$
$101$		−	3.52971i		−	0.351219i	0.984460	−	0.175610i	$-0.0561896\pi$
$102$	10.3408	−	0.707192i	1.02389	−	0.0700225i
$103$	−6.37316	−	1.00941i	−0.627966	−	0.0994601i	−0.165664	−	0.986182i	$-0.552977\pi$
$103$	−6.37316	−	1.00941i	−0.627966	−	0.0994601i	−0.462303	+	0.886722i	$0.652977\pi$
$104$	4.78508	−	3.47657i	0.469216	−	0.340905i
$105$	1.49930	+	11.0682i	0.146317	+	1.08015i
$106$	−4.33351	−	3.14848i	−0.420908	−	0.305807i
$107$	8.76915	+	8.76915i	0.847745	+	0.847745i	0.989851	−	0.142106i	$-0.0453874\pi$
$107$	8.76915	+	8.76915i	0.847745	+	0.847745i	−0.142106	+	0.989851i	$0.545387\pi$
$108$	−5.08751	+	1.05699i	−0.489546	+	0.101709i
$109$	2.65577	+	0.862912i	0.254377	+	0.0826520i	0.433430	−	0.901187i	$-0.357303\pi$
$109$	2.65577	+	0.862912i	0.254377	+	0.0826520i	−0.179053	+	0.983839i	$0.557303\pi$
$110$	2.27766	+	5.69397i	0.217167	+	0.542899i
$111$	−10.5340	−	9.18544i	−0.999846	−	0.871844i
$112$	1.30926	+	2.56957i	0.123714	+	0.242802i
$113$	−2.09855	−	4.11863i	−0.197415	−	0.387449i	0.770984	−	0.636854i	$-0.219765\pi$
$113$	−2.09855	−	4.11863i	−0.197415	−	0.387449i	−0.968399	+	0.249406i	$0.919765\pi$
$114$	6.76826	+	5.90178i	0.633906	+	0.552752i
$115$	2.53396	−	0.168398i	0.236293	−	0.0157032i
$116$	2.75803	+	0.896139i	0.256077	+	0.0832044i
$117$	−5.82824	+	16.7596i	−0.538821	+	1.54942i
$118$	−2.08721	−	2.08721i	−0.192143	−	0.192143i
$119$	13.9619	+	10.1439i	1.27988	+	0.929890i
$120$	1.83528	−	3.41053i	0.167538	−	0.311338i
$121$	−2.81392	+	2.04443i	−0.255811	+	0.185857i
$122$	−4.53366	−	0.718062i	−0.410459	−	0.0650103i
$123$	9.13316	−	0.624604i	0.823509	−	0.0563186i
$124$		−	5.64343i		−	0.506795i
$125$	0.469393	+	11.1705i	0.0419838	+	0.999118i
$126$	−7.62652	−	4.08509i	−0.679424	−	0.363929i
$127$	11.1643	+	5.68850i	0.990672	+	0.504773i	0.872707	−	0.488245i	$-0.162363\pi$
$127$	11.1643	+	5.68850i	0.990672	+	0.504773i	0.117966	+	0.993018i	$0.462363\pi$
$128$	0.156434	−	0.987688i	0.0138270	−	0.0873001i
$129$	−7.00302	−	2.98527i	−0.616581	−	0.262838i
$130$	−6.77250	−	11.3600i	−0.593988	−	0.996342i
$131$	7.00579	−	9.64264i	0.612099	−	0.842482i	−0.384649	−	0.923063i	$-0.625678\pi$
$131$	7.00579	−	9.64264i	0.612099	−	0.842482i	0.996748	+	0.0805811i	$0.0256776\pi$
$132$	−4.60744	−	1.15626i	−0.401026	−	0.100639i
$133$	2.33899	+	14.7678i	0.202816	+	1.28053i
$134$	−0.142611	+	0.438912i	−0.0123197	+	0.0379162i
$135$	1.32314	+	11.5434i	0.113878	+	0.993495i
$136$	−1.84922	−	5.69132i	−0.158569	−	0.488026i
$137$	−17.7044	+	9.02083i	−1.51259	+	0.770702i	−0.996319	−	0.0857255i	$-0.972679\pi$
$137$	−17.7044	+	9.02083i	−1.51259	+	0.770702i	−0.516268	+	0.856427i	$0.672679\pi$
$138$	−1.04497	+	1.66662i	−0.0889540	+	0.141872i
$139$	9.07922	−	2.95002i	0.770090	−	0.250217i	0.102486	−	0.994734i	$-0.467320\pi$
$139$	9.07922	−	2.95002i	0.770090	−	0.250217i	0.667603	+	0.744517i	$0.267320\pi$
$140$	5.98734	−	2.39502i	0.506023	−	0.202416i
$141$	−7.83686	+	1.79665i	−0.659982	+	0.151305i
$142$	−5.65093	+	0.895020i	−0.474216	+	0.0751084i
$143$	−11.4704	+	11.4704i	−0.959201	+	0.959201i
$144$	1.30685	+	2.70040i	0.108904	+	0.225033i
$145$	2.55431	−	5.96025i	0.212124	−	0.494971i
$146$	−5.34223	−	7.35294i	−0.442126	−	0.608534i
$147$	−0.851194	−	2.11610i	−0.0702053	−	0.174533i
$148$	−3.66336	+	7.18975i	−0.301126	+	0.590994i
$149$	12.0089			0.983807			0.491903	−	0.870650i	$-0.336301\pi$
$149$	12.0089			0.983807			0.491903	+	0.870650i	$0.336301\pi$
$150$	−7.22303	−	4.77784i	−0.589758	−	0.390109i
$151$	−11.1277			−0.905558			−0.452779	−	0.891623i	$-0.649567\pi$
$151$	−11.1277			−0.905558			−0.452779	+	0.891623i	$0.649567\pi$
$152$	2.35376	−	4.61952i	0.190915	−	0.374692i
$153$	14.3044	+	10.8480i	1.15645	+	0.877009i
$154$	−4.64900	−	6.39880i	−0.374627	−	0.515630i
$155$	−12.5672	−	1.14325i	−1.00942	−	0.0918278i
$156$	10.2042	+	0.908493i	0.816988	+	0.0727376i
$157$	−11.6119	+	11.6119i	−0.926732	+	0.926732i	−0.997493	−	0.0707617i	$-0.977457\pi$
$157$	−11.6119	+	11.6119i	−0.926732	+	0.926732i	0.0707617	+	0.997493i	$0.477457\pi$
$158$	11.6038	−	1.83786i	0.923150	−	0.146213i
$159$	−2.07320	−	9.04315i	−0.164415	−	0.717169i
$160$	−2.16777	−	0.548446i	−0.171377	−	0.0433584i
$161$	−3.11500	+	1.01213i	−0.245497	+	0.0797667i
$162$	−7.84471	−	4.41141i	−0.616339	−	0.346593i
$163$	5.83680	−	2.97400i	0.457173	−	0.232941i	−0.210209	−	0.977656i	$-0.567415\pi$
$163$	5.83680	−	2.97400i	0.457173	−	0.232941i	0.667383	+	0.744715i	$0.267415\pi$
$164$	−1.63326	−	5.02666i	−0.127536	−	0.392516i
$165$	−3.50822	+	10.0259i	−0.273114	+	0.780518i
$166$	−3.73173	+	11.4851i	−0.289639	+	0.891416i
$167$	−2.65903	−	16.7884i	−0.205762	−	1.29913i	−0.846920	−	0.531720i	$-0.821546\pi$
$167$	−2.65903	−	16.7884i	−0.205762	−	1.29913i	0.641159	−	0.767408i	$-0.278454\pi$
$168$	−1.21583	+	4.84483i	−0.0938035	+	0.373787i
$169$	12.9216	−	17.7850i	0.993968	−	1.36808i
$170$	−13.0485	+	2.96503i	−1.00077	+	0.227407i
$171$	2.11750	+	15.4090i	0.161929	+	1.17836i
$172$	−0.687565	+	4.34111i	−0.0524263	+	0.331007i
$173$	6.04954	+	3.08240i	0.459938	+	0.234350i	0.668578	−	0.743642i	$-0.266903\pi$
$173$	6.04954	+	3.08240i	0.459938	+	0.234350i	−0.208639	+	0.977993i	$0.566903\pi$
$174$	2.58038	+	4.30941i	0.195618	+	0.326696i
$175$	−4.12048	−	13.8182i	−0.311479	−	1.04456i
$176$			2.74259i			0.206731i
$177$	−0.348829	−	5.10069i	−0.0262196	−	0.383391i
$178$	−1.28546	−	0.203597i	−0.0963496	−	0.0152603i
$179$	−7.59016	+	5.51457i	−0.567315	+	0.412179i	−0.834129	−	0.551569i	$-0.814029\pi$
$179$	−7.59016	+	5.51457i	−0.567315	+	0.412179i	0.266814	+	0.963748i	$0.414029\pi$
$180$	6.27818	−	2.36314i	0.467948	−	0.176138i
$181$	12.3025	+	8.93831i	0.914440	+	0.664379i	0.942134	−	0.335237i	$-0.108816\pi$
$181$	12.3025	+	8.93831i	0.914440	+	0.664379i	−0.0276940	+	0.999616i	$0.508816\pi$
$182$	12.0614	+	12.0614i	0.894048	+	0.894048i
$183$	−5.10110	−	6.09819i	−0.377084	−	0.450791i
$184$	1.08014	+	0.350958i	0.0796287	+	0.0258729i
$185$	15.2685	+	9.61434i	1.12256	+	0.706860i
$186$	6.42407	−	7.36724i	0.471036	−	0.540192i
$187$	7.45099	+	14.6234i	0.544871	+	1.06937i
$188$	2.10742	+	4.13604i	0.153699	+	0.301652i
$189$	−5.30590	−	14.0144i	−0.385947	−	1.01940i
$190$	−9.81025	−	6.17735i	−0.711710	−	0.448152i
$191$	12.2756	+	3.98859i	0.888232	+	0.288604i	0.717371	−	0.696691i	$-0.245345\pi$
$191$	12.2756	+	3.98859i	0.888232	+	0.288604i	0.170861	+	0.985295i	$0.445345\pi$
$192$	1.32853	−	1.11131i	0.0958784	−	0.0802018i
$193$	3.91447	+	3.91447i	0.281770	+	0.281770i	0.833815	−	0.552045i	$-0.186152\pi$
$193$	3.91447	+	3.91447i	0.281770	+	0.281770i	−0.552045	+	0.833815i	$0.686152\pi$
$194$	−5.34645	−	3.88442i	−0.383853	−	0.278885i
$195$	4.09026	−	22.5394i	0.292910	−	1.61408i
$196$	−1.06537	+	0.774035i	−0.0760977	+	0.0552882i
$197$	−25.2645	−	4.00150i	−1.80002	−	0.285095i	−0.835574	−	0.549378i	$-0.814865\pi$
$197$	−25.2645	−	4.00150i	−1.80002	−	0.285095i	−0.964445	+	0.264282i	$0.914865\pi$
$198$	−4.69860	−	6.75421i	−0.333915	−	0.480001i
$199$		−	0.0768328i		−	0.00544653i	−0.999996	−	0.00272327i	$-0.999133\pi$
$199$		−	0.0768328i		−	0.00544653i	0.999996	−	0.00272327i	$-0.000866844\pi$
$200$	−1.66047	+	4.71623i	−0.117413	+	0.333488i
$201$	−0.685798	+	0.410641i	−0.0483725	+	0.0289644i
$202$	−3.14499	−	1.60245i	−0.221281	−	0.112748i
$203$	−1.30829	+	8.26024i	−0.0918242	+	0.579755i
$204$	4.06451	−	9.53477i	0.284573	−	0.667568i
$205$	−11.5246	+	2.61876i	−0.804913	+	0.182902i
$206$	−3.79275	+	5.22027i	−0.264253	+	0.363713i
$207$	−3.26133	+	0.986179i	−0.226678	+	0.0685442i
$208$	−0.925261	−	5.84187i	−0.0641553	−	0.405061i
$209$	−4.39399	+	13.5233i	−0.303939	+	0.935427i
$210$	10.5425	+	3.68897i	0.727502	+	0.254563i
$211$	1.99342	+	6.13511i	0.137232	+	0.422358i	0.995931	−	0.0901236i	$-0.0287262\pi$
$211$	1.99342	+	6.13511i	0.137232	+	0.422358i	−0.858698	+	0.512482i	$0.828726\pi$
$212$	−4.77269	+	2.43181i	−0.327790	+	0.167017i
$213$	−8.39586	−	5.26420i	−0.575275	−	0.360697i
$214$	11.7945	−	3.83226i	0.806254	−	0.261968i
$215$	9.52782	+	2.41054i	0.649792	+	0.164398i
$216$	−1.36790	+	5.01287i	−0.0930738	+	0.341082i
$217$	16.0747	−	2.54598i	1.09122	−	0.172832i
$218$	1.97456	−	1.97456i	0.133734	−	0.133734i
$219$	1.39603	−	15.6801i	0.0943347	−	1.05957i
$220$	6.10740	+	0.555595i	0.411761	+	0.0374582i
$221$	−20.8045	−	28.6349i	−1.39946	−	1.92619i
$222$	−12.9666	+	5.21578i	−0.870264	+	0.350061i
$223$	−2.46937	+	4.84642i	−0.165362	+	0.324540i	−0.958786	−	0.284128i	$-0.908296\pi$
$223$	−2.46937	+	4.84642i	−0.165362	+	0.324540i	0.793425	+	0.608668i	$0.208296\pi$
$224$	2.88390			0.192689
$225$	−3.99059	−	14.4594i	−0.266039	−	0.963962i
$226$	−4.62245			−0.307481
$227$	8.90823	−	17.4834i	0.591260	−	1.16041i	−0.380575	−	0.924750i	$-0.624274\pi$
$227$	8.90823	−	17.4834i	0.591260	−	1.16041i	0.971835	−	0.235662i	$-0.0757260\pi$
$228$	8.33125	−	3.35122i	0.551750	−	0.221940i
$229$	10.2833	+	14.1538i	0.679543	+	0.935310i	0.999928	−	0.0119768i	$-0.00381244\pi$
$229$	10.2833	+	14.1538i	0.679543	+	0.935310i	−0.320385	+	0.947287i	$0.603812\pi$
$230$	1.00035	−	2.33423i	0.0659613	−	0.153915i
$231$	1.21487	−	13.6454i	0.0799327	−	0.897803i
$232$	2.05059	−	2.05059i	0.134628	−	0.134628i
$233$	28.6649	−	4.54007i	1.87790	−	0.297430i	0.890416	−	0.455148i	$-0.150414\pi$
$233$	28.6649	−	4.54007i	1.87790	−	0.297430i	0.987484	+	0.157718i	$0.0504138\pi$
$234$	12.2869	+	12.8017i	0.803221	+	0.836872i
$235$	9.63737	−	3.85507i	0.628672	−	0.251477i
$236$	−2.80729	+	0.912145i	−0.182739	+	0.0593756i
$237$	17.2403	+	10.8097i	1.11988	+	0.702165i
$238$	15.3768	−	7.83489i	0.996733	−	0.507861i
$239$	1.74681	+	5.37613i	0.112992	+	0.347753i	0.991523	−	0.129932i	$-0.0414759\pi$
$239$	1.74681	+	5.37613i	0.112992	+	0.347753i	−0.878531	+	0.477685i	$0.841476\pi$
$240$	−2.20561	−	3.18360i	−0.142371	−	0.205500i
$241$	4.35617	−	13.4069i	0.280605	−	0.863614i	−0.707076	−	0.707137i	$-0.749986\pi$
$241$	4.35617	−	13.4069i	0.280605	−	0.863614i	0.987682	−	0.156477i	$-0.0500137\pi$
$242$	0.544110	+	3.43537i	0.0349767	+	0.220834i
$243$	−5.21929	−	14.6887i	−0.334817	−	0.942283i
$244$	−2.69804	+	3.71353i	−0.172724	+	0.237734i
$245$	1.50785	+	2.52924i	0.0963333	+	0.161587i
$246$	3.58984	−	8.42127i	0.228880	−	0.536920i
$247$	4.79711	−	30.2878i	0.305233	−	1.92716i
$248$	−5.02833	−	2.56206i	−0.319299	−	0.162691i
$249$	−17.9454	+	10.7453i	−1.13724	+	0.680957i
$250$	10.1661	+	4.65306i	0.642959	+	0.294285i
$251$			17.3182i			1.09311i	0.837422	+	0.546557i	$0.184062\pi$
$251$			17.3182i			1.09311i	−0.837422	+	0.546557i	$0.815938\pi$
$252$	−7.10221	+	4.94069i	−0.447397	+	0.311234i
$253$	−3.07648	−	0.487266i	−0.193416	−	0.0306341i
$254$	10.1370	−	7.36495i	0.636051	−	0.462118i
$255$	−20.4093	−	10.9827i	−1.27808	−	0.687763i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−4.28914	−	4.28914i	−0.267549	−	0.267549i	0.560563	−	0.828112i	$-0.310585\pi$
$257$	−4.28914	−	4.28914i	−0.267549	−	0.267549i	−0.828112	+	0.560563i	$0.810585\pi$
$258$	−5.83919	+	4.88445i	−0.363532	+	0.304093i
$259$	−22.1319	−	7.19110i	−1.37521	−	0.446833i
$260$	−13.1965	+	0.876991i	−0.818414	+	0.0543887i
$261$	−1.53695	+	8.56306i	−0.0951347	+	0.530040i
$262$	−5.41110	−	10.6199i	−0.334299	−	0.656098i
$263$	10.8405	+	21.2757i	0.668454	+	1.31191i	0.937230	+	0.348711i	$0.113381\pi$
$263$	10.8405	+	21.2757i	0.668454	+	1.31191i	−0.268777	+	0.963203i	$0.586619\pi$
$264$	−3.12197	+	3.58033i	−0.192144	+	0.220354i
$265$	4.44847	+	11.1208i	0.273267	+	0.683146i
$266$	14.2201	+	4.62038i	0.871889	+	0.283294i
$267$	−1.44635	−	1.72907i	−0.0885154	−	0.105817i
$268$	0.326329	+	0.326329i	0.0199337	+	0.0199337i
$269$	−11.2436	−	8.16896i	−0.685535	−	0.498070i	0.189654	−	0.981851i	$-0.439263\pi$
$269$	−11.2436	−	8.16896i	−0.685535	−	0.498070i	−0.875189	+	0.483781i	$0.839263\pi$
$270$	10.8859	+	4.06165i	0.662495	+	0.247184i
$271$	12.1633	−	8.83716i	0.738868	−	0.536819i	−0.153488	−	0.988151i	$-0.549051\pi$
$271$	12.1633	−	8.83716i	0.738868	−	0.536819i	0.892357	+	0.451331i	$0.149051\pi$
$272$	−5.91053	−	0.936136i	−0.358378	−	0.0567616i
$273$	2.01578	+	29.4753i	0.122000	+	1.78393i
$274$			19.8701i			1.20040i
$275$	2.47448	−	13.4878i	0.149217	−	0.813348i
$276$	1.01056	+	1.68771i	0.0608288	+	0.101588i
$277$	−1.61620	−	0.823495i	−0.0971080	−	0.0494790i	0.404762	−	0.914422i	$-0.367354\pi$
$277$	−1.61620	−	0.823495i	−0.0971080	−	0.0494790i	−0.501870	+	0.864943i	$0.667354\pi$
$278$	1.49340	−	9.42893i	0.0895679	−	0.565509i
$279$	16.7727	−	2.30490i	1.00415	−	0.137991i
$280$	0.584221	−	6.42207i	0.0349139	−	0.383792i
$281$	−13.4707	+	18.5409i	−0.803597	+	1.10606i	0.188683	+	0.982038i	$0.439578\pi$
$281$	−13.4707	+	18.5409i	−0.803597	+	1.10606i	−0.992280	+	0.124018i	$0.960422\pi$
$282$	−1.95703	+	7.79835i	−0.116540	+	0.464385i
$283$	−0.445062	−	2.81001i	−0.0264562	−	0.167038i	0.970923	−	0.239393i	$-0.0769484\pi$
$283$	−0.445062	−	2.81001i	−0.0264562	−	0.167038i	−0.997379	+	0.0723553i	$0.976948\pi$
$284$	−1.76800	+	5.44135i	−0.104912	+	0.322885i
$285$	−5.77498	−	19.2315i	−0.342081	−	1.13918i
$286$	5.01274	+	15.4276i	0.296409	+	0.912255i
$287$	13.5811	−	6.91991i	0.801666	−	0.408469i
$288$	2.99937	+	0.0615410i	0.176739	+	0.00362634i
$289$	−17.8900	+	5.81283i	−1.05236	+	0.341931i
$290$	−4.15099	−	4.98180i	−0.243754	−	0.292541i
$291$	−2.55780	−	11.1570i	−0.149941	−	0.654032i
$292$	−8.97684	+	1.42179i	−0.525330	+	0.0832041i
$293$	−9.44461	+	9.44461i	−0.551760	+	0.551760i	−0.926948	−	0.375189i	$-0.877578\pi$
$293$	−9.44461	+	9.44461i	−0.551760	+	0.551760i	0.375189	+	0.926948i	$0.377578\pi$
$294$	−2.27189	−	0.202270i	−0.132500	−	0.0117966i
$295$	1.46253	+	6.43626i	0.0851516	+	0.374734i
$296$	4.74298	+	6.52816i	0.275680	+	0.379441i
$297$	1.55470	−	14.1659i	0.0902130	−	0.821987i
$298$	5.45192	−	10.7000i	0.315821	−	0.619834i
$299$	6.71745			0.388480
$300$	−7.53628	+	4.26667i	−0.435107	+	0.246336i
$301$	−12.6754			−0.730597
$302$	−5.05186	+	9.91484i	−0.290702	+	0.570535i
$303$	−2.28153	−	5.67196i	−0.131070	−	0.325846i
$304$	−3.04743	−	4.19443i	−0.174782	−	0.240567i
$305$	7.72299	+	6.76047i	0.442217	+	0.387104i
$306$	16.1597	−	7.82047i	0.923790	−	0.447066i
$307$	−23.1889	+	23.1889i	−1.32346	+	1.32346i	−0.412506	+	0.910955i	$0.635346\pi$
$307$	−23.1889	+	23.1889i	−1.32346	+	1.32346i	−0.910955	+	0.412506i	$0.864654\pi$
$308$	−7.81197	+	1.23730i	−0.445129	+	0.0705014i
$309$	−10.8936	+	2.49743i	−0.619717	+	0.142074i
$310$	−6.72403	+	10.6784i	−0.381899	+	0.606494i
$311$	−9.84506	+	3.19885i	−0.558262	+	0.181390i	−0.574539	−	0.818477i	$-0.694819\pi$
$311$	−9.84506	+	3.19885i	−0.558262	+	0.181390i	0.0162770	+	0.999868i	$0.494819\pi$
$312$	5.44207	−	8.67954i	0.308097	−	0.491382i
$313$	−12.2235	+	6.22820i	−0.690915	+	0.352039i	−0.763936	−	0.645292i	$-0.776736\pi$
$313$	−12.2235	+	6.22820i	−0.690915	+	0.352039i	0.0730212	+	0.997330i	$0.476736\pi$
$314$	5.07459	+	15.6180i	0.286376	+	0.881374i
$315$	9.56351	+	16.8166i	0.538843	+	0.947509i
$316$	3.63047	−	11.1734i	0.204230	−	0.628556i
$317$	2.95253	+	18.6415i	0.165830	+	1.04701i	0.920453	+	0.390853i	$0.127820\pi$
$317$	2.95253	+	18.6415i	0.165830	+	1.04701i	−0.754623	+	0.656159i	$0.772180\pi$
$318$	−8.99872	−	2.25827i	−0.504623	−	0.126638i
$319$	−4.67490	+	6.43445i	−0.261744	+	0.360260i
$320$	−1.47281	+	1.68250i	−0.0823328	+	0.0940548i
$321$	19.7595	+	8.42314i	1.10287	+	0.470134i
$322$	−0.512371	+	3.23498i	−0.0285533	+	0.180279i
$323$	−27.6441	−	14.0854i	−1.53816	−	0.783732i
$324$	−7.49202	+	4.98695i	−0.416223	+	0.277053i
$325$	−0.720411	+	29.5647i	−0.0399612	+	1.63995i
$326$		−	6.55079i		−	0.362815i
$327$	4.82538	−	0.330001i	0.266844	−	0.0182491i
$328$	−5.22028	−	0.826810i	−0.288241	−	0.0456530i
$329$	−10.8303	+	7.86870i	−0.597096	+	0.433815i
$330$	7.34048	+	7.67752i	0.404080	+	0.422634i
$331$	−25.6753	−	18.6542i	−1.41124	−	1.02533i	−0.993141	−	0.116926i	$-0.962696\pi$
$331$	−25.6753	−	18.6542i	−1.41124	−	1.02533i	−0.418100	−	0.908401i	$-0.637304\pi$
$332$	8.53912	+	8.53912i	0.468645	+	0.468645i
$333$	−22.8646	−	7.95131i	−1.25297	−	0.435729i
$334$	−16.1658	−	5.25258i	−0.884552	−	0.287408i
$335$	0.792802	−	0.660586i	0.0433154	−	0.0360917i
$336$	3.76480	+	3.28282i	0.205386	+	0.179093i
$337$	−7.31518	−	14.3569i	−0.398483	−	0.782068i	0.601374	−	0.798968i	$-0.294620\pi$
$337$	−7.31518	−	14.3569i	−0.398483	−	0.782068i	−0.999857	+	0.0169001i	$0.994620\pi$
$338$	−9.98030	−	19.5874i	−0.542857	−	1.06542i
$339$	−6.03440	−	5.26186i	−0.327744	−	0.285785i
$340$	−3.28201	+	12.9724i	−0.177992	+	0.703525i
$341$	14.7201	+	4.78284i	0.797137	+	0.259006i
$342$	14.6908	+	5.10883i	0.794390	+	0.276254i
$343$	11.5892	+	11.5892i	0.625757	+	0.625757i
$344$	3.55581	+	2.58345i	0.191717	+	0.139290i
$345$	3.96303	−	1.90850i	0.213362	−	0.102750i
$346$	5.49287	−	3.99080i	0.295299	−	0.214547i
$347$	23.6313	+	3.74283i	1.26859	+	0.200925i	0.754209	−	0.656634i	$-0.228020\pi$
$347$	23.6313	+	3.74283i	1.26859	+	0.200925i	0.514384	+	0.857560i	$0.328020\pi$
$348$	5.01118	−	0.342708i	0.268628	−	0.0183711i
$349$		−	24.8956i		−	1.33263i	−0.745670	−	0.666315i	$-0.767871\pi$
$349$		−	24.8956i		−	1.33263i	0.745670	−	0.666315i	$-0.232129\pi$
$350$	−14.1828	−	2.60197i	−0.758102	−	0.139081i
$351$	1.46750	+	30.6986i	0.0783293	+	1.63857i
$352$	2.44367	+	1.24511i	0.130248	+	0.0663646i
$353$	2.64576	−	16.7047i	0.140820	−	0.889101i	−0.811578	−	0.584244i	$-0.801391\pi$
$353$	2.64576	−	16.7047i	0.140820	−	0.889101i	0.952398	−	0.304857i	$-0.0986087\pi$
$354$	−4.70311	−	2.00485i	−0.249968	−	0.106557i
$355$	11.7590	+	5.03942i	0.624104	+	0.267465i
$356$	−0.764995	+	1.05293i	−0.0405447	+	0.0558049i
$357$	28.9924	+	7.27579i	1.53444	+	0.385076i
$358$	1.46766	+	9.26645i	0.0775683	+	0.489747i
$359$	1.67961	−	5.16932i	0.0886466	−	0.272826i	−0.896899	−	0.442235i	$-0.854186\pi$
$359$	1.67961	−	5.16932i	0.0886466	−	0.272826i	0.985546	+	0.169409i	$0.0541858\pi$
$360$	0.744657	−	6.66674i	0.0392469	−	0.351368i
$361$	−2.43509	−	7.49444i	−0.128163	−	0.394444i
$362$	13.5493	−	6.90373i	0.712137	−	0.362852i
$363$	−3.20027	+	5.10410i	−0.167971	+	0.267896i
$364$	16.2225	−	5.27101i	0.850290	−	0.276276i
$365$	1.34762	+	20.2783i	0.0705376	+	1.06142i
$366$	−7.74938	+	1.77659i	−0.405066	+	0.0928640i
$367$	17.7079	−	2.80465i	0.924343	−	0.146401i	0.323920	−	0.946084i	$-0.394999\pi$
$367$	17.7079	−	2.80465i	0.924343	−	0.146401i	0.600422	+	0.799683i	$0.294999\pi$
$368$	0.803077	−	0.803077i	0.0418633	−	0.0418633i
$369$	14.2725	−	6.90716i	0.742998	−	0.359573i
$370$	15.4982	−	9.23954i	0.805713	−	0.480341i
$371$	−9.07990	−	12.4974i	−0.471405	−	0.648833i
$372$	−3.64779	−	9.06854i	−0.189129	−	0.470182i
$373$	11.6182	−	22.8020i	0.601568	−	1.18064i	−0.366608	−	0.930376i	$-0.619481\pi$
$373$	11.6182	−	22.8020i	0.601568	−	1.18064i	0.968176	−	0.250269i	$-0.0805190\pi$
$374$	16.4122			0.848656
$375$	7.97463	+	17.6467i	0.411808	+	0.911270i
$376$	4.64199			0.239392
$377$	7.78702	−	15.2829i	0.401052	−	0.787109i
$378$	−14.8957	−	1.63481i	−0.766154	−	0.0840853i
$379$	5.71732	+	7.86922i	0.293679	+	0.404215i	0.930205	−	0.367041i	$-0.119629\pi$
$379$	5.71732	+	7.86922i	0.293679	+	0.404215i	−0.636526	+	0.771255i	$0.719629\pi$
$380$	−9.95782	+	5.93654i	−0.510825	+	0.304538i
$381$	21.6171	+	1.92460i	1.10748	+	0.0986003i
$382$	9.12687	−	9.12687i	0.466971	−	0.466971i
$383$	24.0895	−	3.81540i	1.23092	−	0.194958i	0.493108	−	0.869968i	$-0.335861\pi$
$383$	24.0895	−	3.81540i	1.23092	−	0.194958i	0.737808	+	0.675010i	$0.235861\pi$
$384$	−0.387043	−	1.68825i	−0.0197512	−	0.0861533i
$385$	1.17275	+	17.6469i	0.0597687	+	0.899370i
$386$	5.26495	−	1.71069i	0.267979	−	0.0870717i
$387$	−13.1829	−	0.270487i	−0.670125	−	0.0137496i
$388$	−5.88829	+	3.00023i	−0.298932	+	0.152314i
$389$	−5.49358	−	16.9075i	−0.278536	−	0.857245i	−0.988262	−	0.152767i	$-0.951181\pi$
$389$	−5.49358	−	16.9075i	−0.278536	−	0.857245i	0.709726	−	0.704477i	$-0.248819\pi$
$390$	−18.2258	−	13.8771i	−0.922898	−	0.702694i
$391$	2.10020	−	6.46376i	0.106212	−	0.326886i
$392$	0.206003	+	1.30065i	0.0104047	+	0.0656929i
$393$	5.02496	−	20.0234i	0.253475	−	1.01004i
$394$	−15.0352	+	20.6942i	−0.757462	+	1.04256i
$395$	−24.1464	−	10.3481i	−1.21494	−	0.520670i
$396$	−8.15117	+	1.12013i	−0.409612	+	0.0562888i
$397$	−3.00987	+	19.0036i	−0.151061	+	0.953762i	0.789405	+	0.613873i	$0.210389\pi$
$397$	−3.00987	+	19.0036i	−0.151061	+	0.953762i	−0.940466	+	0.339889i	$0.889611\pi$
$398$	−0.0684585	−	0.0348814i	−0.00343152	−	0.00174845i
$399$	13.3041	+	22.2188i	0.666040	+	1.11233i
$400$	3.44836	+	3.62061i	0.172418	+	0.181031i
$401$		−	31.1439i		−	1.55525i	−0.628726	−	0.777627i	$-0.716423\pi$
$401$		−	31.1439i		−	1.55525i	0.628726	−	0.777627i	$-0.283577\pi$
$402$	0.0545384	+	0.797478i	0.00272013	+	0.0397746i
$403$	−32.9681	−	5.22164i	−1.64226	−	0.260108i
$404$	−2.85559	+	2.07471i	−0.142071	+	0.103221i
$405$	9.58757	+	17.6940i	0.476410	+	0.879223i
$406$	6.76598	+	4.91577i	0.335790	+	0.243966i
$407$	−15.6487	−	15.6487i	−0.775678	−	0.775678i
$408$	−6.65030	−	7.95020i	−0.329239	−	0.393594i
$409$	−14.9223	−	4.84855i	−0.737860	−	0.239745i	−0.0841106	−	0.996456i	$-0.526805\pi$
$409$	−14.9223	−	4.84855i	−0.737860	−	0.239745i	−0.653749	+	0.756711i	$0.726805\pi$
$410$	−2.89873	+	11.4574i	−0.143158	+	0.565840i
$411$	−22.6187	+	25.9395i	−1.11570	+	1.27950i
$412$	2.92942	+	5.74931i	0.144322	+	0.283248i
$413$	−3.86463	−	7.58476i	−0.190166	−	0.373222i
$414$	−0.601920	+	3.35358i	−0.0295827	+	0.164819i
$415$	20.7454	−	17.2857i	1.01835	−	0.848520i
$416$	−5.62520	−	1.82774i	−0.275798	−	0.0896122i
$417$	12.6828	−	10.6091i	0.621078	−	0.519528i
$418$	10.0545	+	10.0545i	0.491783	+	0.491783i
$419$	−2.78733	−	2.02511i	−0.136170	−	0.0989333i	0.517615	−	0.855614i	$-0.326820\pi$
$419$	−2.78733	−	2.02511i	−0.136170	−	0.0989333i	−0.653785	+	0.756680i	$0.726820\pi$
$420$	8.07310	−	7.71869i	0.393927	−	0.376633i
$421$	10.9206	−	7.93429i	0.532238	−	0.386694i	−0.288956	−	0.957342i	$-0.593308\pi$
$421$	10.9206	−	7.93429i	0.532238	−	0.386694i	0.821194	+	0.570649i	$0.193308\pi$
$422$	6.37141	+	1.00913i	0.310156	+	0.0491238i
$423$	−11.4319	+	7.95265i	−0.555838	+	0.386671i
$424$			5.35652i			0.260135i
$425$	28.2229	+	9.93657i	1.36901	+	0.481994i
$426$	−8.50208	+	5.09087i	−0.411927	+	0.246653i
$427$	−11.7948	−	6.00974i	−0.570790	−	0.290832i
$428$	1.94001	−	12.2488i	0.0937741	−	0.592066i
$429$	−11.0178	+	25.8462i	−0.531944	+	1.24787i
$430$	6.47335	−	7.39499i	0.312173	−	0.356618i
$431$	−16.4092	+	22.5853i	−0.790401	+	1.08789i	0.203657	+	0.979042i	$0.434717\pi$
$431$	−16.4092	+	22.5853i	−0.790401	+	1.08789i	−0.994058	+	0.108852i	$0.965283\pi$
$432$	3.84548	+	3.49460i	0.185016	+	0.168134i
$433$	−0.408546	−	2.57946i	−0.0196335	−	0.123961i	0.975925	−	0.218107i	$-0.0699881\pi$
$433$	−0.408546	−	2.57946i	−0.0196335	−	0.123961i	−0.995558	+	0.0941457i	$0.969988\pi$
$434$	5.02927	−	15.4785i	0.241413	−	0.742992i
$435$	0.252001	−	11.2287i	0.0120825	−	0.538375i
$436$	−0.862912	−	2.65577i	−0.0413260	−	0.127188i
$437$	5.24649	−	2.67322i	0.250974	−	0.127877i
$438$	−13.3373	−	8.36250i	−0.637282	−	0.399576i
$439$	−10.4899	+	3.40836i	−0.500653	+	0.162672i	−0.548447	−	0.836185i	$-0.684781\pi$
$439$	−10.4899	+	3.40836i	−0.500653	+	0.162672i	0.0477940	+	0.998857i	$0.484781\pi$
$440$	3.26774	−	5.18950i	0.155783	−	0.247400i
$441$	−2.73560	−	2.85021i	−0.130267	−	0.135724i
$442$	−34.9589	+	5.53695i	−1.66283	+	0.263366i
$443$	−1.32181	+	1.32181i	−0.0628009	+	0.0628009i	−0.737810	−	0.675009i	$-0.764140\pi$
$443$	−1.32181	+	1.32181i	−0.0628009	+	0.0628009i	0.675009	+	0.737810i	$0.264140\pi$
$444$	−1.23943	+	13.9213i	−0.0588208	+	0.660675i
$445$	2.18976	+	1.91685i	0.103804	+	0.0908673i
$446$	3.19712	+	4.40046i	0.151388	+	0.208368i
$447$	19.2973	−	7.76229i	0.912733	−	0.367144i
$448$	1.30926	−	2.56957i	0.0618568	−	0.121401i
$449$	−20.5238			−0.968579			−0.484289	−	0.874908i	$-0.660922\pi$
$449$	−20.5238			−0.968579			−0.484289	+	0.874908i	$0.660922\pi$
$450$	−14.6951	−	3.00881i	−0.692735	−	0.141837i
$451$	14.4955			0.682569
$452$	−2.09855	+	4.11863i	−0.0987075	+	0.193724i
$453$	−17.8813	+	7.19269i	−0.840137	+	0.337942i
$454$	−11.5336	−	15.8746i	−0.541296	−	0.745031i
$455$	−8.45151	−	37.1933i	−0.396213	−	1.74365i
$456$	0.796353	−	8.94462i	0.0372926	−	0.418870i
$457$	11.0498	−	11.0498i	0.516886	−	0.516886i	−0.399742	−	0.916628i	$-0.630900\pi$
$457$	11.0498	−	11.0498i	0.516886	−	0.516886i	0.916628	+	0.399742i	$0.130900\pi$
$458$	17.2797	−	2.73683i	0.807427	−	0.127884i
$459$	29.9980	+	8.18580i	1.40019	+	0.382080i
$460$	−1.62566	−	1.95104i	−0.0757970	−	0.0909677i
$461$	13.2689	−	4.31131i	0.617992	−	0.200798i	0.0167435	−	0.999860i	$-0.494670\pi$
$461$	13.2689	−	4.31131i	0.617992	−	0.200798i	0.601249	+	0.799062i	$0.294670\pi$
$462$	−11.6066	−	7.27735i	−0.539989	−	0.338573i
$463$	29.3718	−	14.9657i	1.36502	−	0.695515i	0.390669	−	0.920531i	$-0.372244\pi$
$463$	29.3718	−	14.9657i	1.36502	−	0.695515i	0.974355	+	0.225017i	$0.0722436\pi$
$464$	−0.896139	−	2.75803i	−0.0416022	−	0.128038i
$465$	−20.9335	+	6.28605i	−0.970766	+	0.291509i
$466$	8.96836	−	27.6018i	0.415451	−	1.27863i
$467$	0.578507	+	3.65255i	0.0267701	+	0.169020i	0.997451	−	0.0713509i	$-0.0227310\pi$
$467$	0.578507	+	3.65255i	0.0267701	+	0.169020i	−0.970681	+	0.240371i	$0.922731\pi$
$468$	16.9845	−	5.13588i	0.785110	−	0.237406i
$469$	−0.782294	+	1.07673i	−0.0361230	+	0.0497190i
$470$	0.940376	−	10.3371i	0.0433763	−	0.476816i
$471$	−11.1537	+	26.1651i	−0.513937	+	1.20562i
$472$	−0.461757	+	2.91542i	−0.0212541	+	0.134193i
$473$	−10.7405	−	5.47254i	−0.493847	−	0.251628i
$474$	17.4585	−	10.4538i	0.801894	−	0.480157i
$475$	11.2027	+	23.3774i	0.514013	+	1.07263i
$476$		−	17.2578i		−	0.791012i
$477$	−9.17677	−	13.1916i	−0.420175	−	0.604000i
$478$	5.58321	+	0.884293i	0.255370	+	0.0404466i
$479$	−4.35190	+	3.16184i	−0.198844	+	0.144468i	−0.682752	−	0.730651i	$-0.739217\pi$
$479$	−4.35190	+	3.16184i	−0.198844	+	0.144468i	0.483908	+	0.875119i	$0.339217\pi$
$480$	−3.83793	+	0.519888i	−0.175177	+	0.0237295i
$481$	38.6120	+	28.0533i	1.76056	+	1.27912i
$482$	−9.96798	−	9.96798i	−0.454029	−	0.454029i
$483$	−4.35135	+	3.63988i	−0.197993	+	0.165620i
$484$	3.30796	+	1.07482i	0.150362	+	0.0488555i
$485$	5.48828	+	13.7203i	0.249210	+	0.623004i
$486$	−15.4573	−	2.01813i	−0.701156	−	0.0915443i
$487$	−1.90512	−	3.73900i	−0.0863291	−	0.169430i	0.843806	−	0.536649i	$-0.180310\pi$
$487$	−1.90512	−	3.73900i	−0.0863291	−	0.169430i	−0.930135	+	0.367219i	$0.880310\pi$
$488$	2.08390	+	4.08988i	0.0943336	+	0.185140i
$489$	7.45695	−	8.55176i	0.337215	−	0.386724i
$490$	2.93812	−	0.195256i	0.132731	−	0.00882078i
$491$	30.0362	+	9.75934i	1.35551	+	0.440433i	0.894543	−	0.446983i	$-0.147501\pi$
$491$	30.0362	+	9.75934i	1.35551	+	0.440433i	0.460970	+	0.887416i	$0.347501\pi$
$492$	−5.87365	−	7.02175i	−0.264805	−	0.316565i
$493$	−12.2711	−	12.2711i	−0.552664	−	0.552664i
$494$	−24.8088	−	18.0246i	−1.11620	−	0.810966i
$495$	0.843126	+	18.3785i	0.0378957	+	0.826053i
$496$	−4.56563	+	3.31712i	−0.205003	+	0.148943i
$497$	−16.2967	−	2.58115i	−0.731007	−	0.115780i
$498$	1.42712	+	20.8677i	0.0639506	+	0.935106i
$499$			10.2536i			0.459015i	0.973307	+	0.229508i	$0.0737116\pi$
$499$			10.2536i			0.459015i	−0.973307	+	0.229508i	$0.926288\pi$
$500$	8.76121	−	6.94559i	0.391813	−	0.310616i
$501$	−15.1245	−	25.2590i	−0.675714	−	1.12849i
$502$	15.4306	+	7.86229i	0.688702	+	0.350911i
$503$	0.104371	−	0.658974i	0.00465369	−	0.0293822i	−0.985252	−	0.171108i	$-0.945265\pi$
$503$	0.104371	−	0.658974i	0.00465369	−	0.0293822i	0.989906	+	0.141726i	$0.0452652\pi$
$504$	1.17785	+	8.57114i	0.0524654	+	0.381789i
$505$	4.04163	+	6.77934i	0.179850	+	0.301677i
$506$	−1.83085	+	2.51995i	−0.0813911	+	0.112025i
$507$	9.26810	−	36.9314i	0.411611	−	1.64018i
$508$	−1.96012	−	12.3757i	−0.0869664	−	0.549084i
$509$	8.01814	−	24.6773i	0.355398	−	1.09380i	−0.600381	−	0.799714i	$-0.704984\pi$
$509$	8.01814	−	24.6773i	0.355398	−	1.09380i	0.955779	−	0.294087i	$-0.0950156\pi$
$510$	−19.0513	+	13.1988i	−0.843606	+	0.584453i
$511$	−8.09964	−	24.9281i	−0.358307	−	1.10276i
$512$	−0.891007	+	0.453990i	−0.0393773	+	0.0200637i
$513$	13.3627	+	23.3923i	0.589978	+	1.03280i
$514$	−5.76888	+	1.87442i	−0.254454	+	0.0826772i
$515$	13.3964	−	5.35875i	0.590317	−	0.236135i
$516$	1.70114	+	7.42026i	0.0748885	+	0.326659i
$517$	−12.5743	+	1.99158i	−0.553019	+	0.0875896i
$518$	−16.4550	+	16.4550i	−0.722991	+	0.722991i
$519$	11.7135	+	1.04287i	0.514167	+	0.0457771i
$520$	−5.20970	+	12.1563i	−0.228460	+	0.533091i
$521$	24.0053	+	33.0404i	1.05169	+	1.44753i	0.887334	+	0.461127i	$0.152555\pi$
$521$	24.0053	+	33.0404i	1.05169	+	1.44753i	0.164357	+	0.986401i	$0.447445\pi$
$522$	6.93199	+	5.25698i	0.303405	+	0.230092i
$523$	−12.3663	+	24.2703i	−0.540741	+	1.06126i	0.445396	+	0.895334i	$0.353063\pi$
$523$	−12.3663	+	24.2703i	−0.540741	+	1.06126i	−0.986137	+	0.165931i	$0.946937\pi$
$524$	−11.9190			−0.520682
$525$	−15.5531	−	19.5414i	−0.678792	−	0.852857i
$526$	23.8782			1.04114
$527$	−15.3319	+	30.0906i	−0.667868	+	1.31077i
$528$	1.77275	+	4.40713i	0.0771491	+	0.191796i
$529$	−12.7609	−	17.5639i	−0.554822	−	0.763646i
$530$	11.9283	+	1.08512i	0.518131	+	0.0471348i
$531$	−3.85751	−	7.97093i	−0.167402	−	0.345909i
$532$	10.5726	−	10.5726i	0.458379	−	0.458379i
$533$	−30.8763	+	4.89032i	−1.33740	+	0.211823i
$534$	−2.19724	+	0.503731i	−0.0950839	+	0.0217986i
$535$	−26.8834	−	6.80152i	−1.16227	−	0.294055i
$536$	0.438912	−	0.142611i	0.0189581	−	0.00615987i
$537$	−8.63229	+	13.7676i	−0.372511	+	0.594116i
$538$	−12.3831	+	6.30950i	−0.533873	+	0.272022i
$539$	−1.11605	−	3.43486i	−0.0480718	−	0.147950i
$540$	8.56105	−	7.85547i	0.368409	−	0.338045i
$541$	4.75771	−	14.6427i	0.204550	−	0.629540i	−0.795182	−	0.606371i	$-0.792625\pi$
$541$	4.75771	−	14.6427i	0.204550	−	0.629540i	0.999732	−	0.0231685i	$-0.00737544\pi$
$542$	−2.35194	−	14.8496i	−0.101025	−	0.637844i
$543$	25.5467	+	6.41107i	1.09631	+	0.275125i
$544$	−3.51743	+	4.84132i	−0.150808	+	0.207570i
$545$	−6.08887	+	1.38359i	−0.260819	+	0.0592664i
$546$	27.1779	+	11.5855i	1.16311	+	0.495812i
$547$	−3.51301	+	22.1803i	−0.150205	+	0.948360i	0.791316	+	0.611407i	$0.209396\pi$
$547$	−3.51301	+	22.1803i	−0.150205	+	0.948360i	−0.941522	+	0.336953i	$0.890604\pi$
$548$	17.7044	+	9.02083i	0.756293	+	0.385351i
$549$	−12.1388	−	6.50207i	−0.518072	−	0.277502i
$550$	−10.8944	−	8.32813i	−0.464538	−	0.355113i
$551$		−	15.0352i		−	0.640520i
$552$	1.96255	−	0.134216i	0.0835315	−	0.00571260i
$553$	33.4642	+	5.30021i	1.42304	+	0.225388i
$554$	−1.46748	+	1.06619i	−0.0623472	+	0.0452979i
$555$	30.7498	+	5.58023i	1.30526	+	0.236868i
$556$	−7.72325	−	5.61127i	−0.327539	−	0.237971i
$557$	1.66485	+	1.66485i	0.0705420	+	0.0705420i	0.741498	−	0.670956i	$-0.234116\pi$
$557$	1.66485	+	1.66485i	0.0705420	+	0.0705420i	−0.670956	+	0.741498i	$0.734116\pi$
$558$	5.56095	−	15.9909i	0.235414	−	0.676951i
$559$	24.7240	+	8.03333i	1.04572	+	0.339773i
$560$	−5.45688	−	3.43610i	−0.230595	−	0.145202i
$561$	21.4254	+	18.6825i	0.904581	+	0.788775i
$562$	10.4045	+	20.4199i	0.438886	+	0.861362i
$563$	21.4512	+	42.1004i	0.904062	+	1.77432i	0.534729	+	0.845023i	$0.320414\pi$
$563$	21.4512	+	42.1004i	0.904062	+	1.77432i	0.369332	+	0.929297i	$0.379586\pi$
$564$	6.05991	+	5.28411i	0.255168	+	0.222501i
$565$	8.74655	+	5.50756i	0.367970	+	0.231705i
$566$	−2.70579	−	0.879165i	−0.113733	−	0.0369541i
$567$	−17.5848	−	19.0904i	−0.738490	−	0.801721i
$568$	4.04562	+	4.04562i	0.169750	+	0.169750i
$569$	19.9798	+	14.5162i	0.837599	+	0.608551i	0.921699	−	0.387906i	$-0.126802\pi$
$569$	19.9798	+	14.5162i	0.837599	+	0.608551i	−0.0841003	+	0.996457i	$0.526802\pi$
$570$	−19.7572	−	3.58538i	−0.827538	−	0.150175i
$571$	4.83866	−	3.51549i	0.202491	−	0.147119i	−0.481919	−	0.876216i	$-0.660060\pi$
$571$	4.83866	−	3.51549i	0.202491	−	0.147119i	0.684410	+	0.729097i	$0.260060\pi$
$572$	16.0218	+	2.53761i	0.669907	+	0.106103i
$573$	22.3041	−	1.52534i	0.931766	−	0.0637221i
$574$		−	15.2424i		−	0.636206i
$575$	−4.67404	+	3.22490i	−0.194921	+	0.134488i
$576$	1.41652	−	2.64452i	0.0590216	−	0.110188i
$577$	−28.0783	−	14.3066i	−1.16891	−	0.595591i	−0.241783	−	0.970330i	$-0.577732\pi$
$577$	−28.0783	−	14.3066i	−1.16891	−	0.595591i	−0.927130	+	0.374739i	$0.877732\pi$
$578$	−2.94264	+	18.5791i	−0.122398	+	0.772789i
$579$	8.82048	+	3.76002i	0.366567	+	0.156261i
$580$	−6.32333	+	1.43686i	−0.262562	+	0.0596625i
$581$	−20.4704	+	28.1751i	−0.849256	+	1.16890i
$582$	−11.1021	−	2.78613i	−0.460198	−	0.115489i
$583$	−2.29814	−	14.5099i	−0.0951791	−	0.600937i
$584$	−2.80857	+	8.64390i	−0.116220	+	0.357687i
$585$	−7.99622	−	38.8628i	−0.330603	−	1.60678i
$586$	4.12744	+	12.7030i	0.170503	+	0.524755i
$587$	−10.0374	+	5.11433i	−0.414289	+	0.211091i	−0.648696	−	0.761048i	$-0.724685\pi$
$587$	−10.0374	+	5.11433i	−0.414289	+	0.211091i	0.234407	+	0.972139i	$0.424685\pi$
$588$	−1.21164	+	1.93244i	−0.0499673	+	0.0796926i
$589$	−27.8269	+	9.04151i	−1.14659	+	0.372549i
$590$	6.39873	+	1.61888i	0.263431	+	0.0666483i
$591$	−43.1845	+	9.90032i	−1.77637	+	0.407245i
$592$	7.96990	−	1.26231i	0.327561	−	0.0518805i
$593$	17.4049	−	17.4049i	0.714734	−	0.714734i	−0.252788	−	0.967522i	$-0.581347\pi$
$593$	17.4049	−	17.4049i	0.714734	−	0.714734i	0.967522	+	0.252788i	$0.0813475\pi$
$594$	−11.9161	−	7.81642i	−0.488922	−	0.320711i
$595$	−38.4310	−	3.49610i	−1.57552	−	0.143326i
$596$	−7.05865	−	9.71540i	−0.289134	−	0.397958i
$597$	−0.0496631	−	0.123464i	−0.00203257	−	0.00505306i
$598$	3.04966	−	5.98529i	0.124710	−	0.244757i
$599$	−25.8531			−1.05633			−0.528165	−	0.849142i	$-0.677120\pi$
$599$	−25.8531			−1.05633			−0.528165	+	0.849142i	$0.677120\pi$
$600$	0.380234	+	8.65190i	0.0155230	+	0.353212i
$601$	−36.7027			−1.49714			−0.748568	−	0.663058i	$-0.769258\pi$
$601$	−36.7027			−1.49714			−0.748568	+	0.663058i	$0.769258\pi$
$602$	−5.75450	+	11.2939i	−0.234536	+	0.460303i
$603$	−0.836594	+	1.10315i	−0.0340687	+	0.0449239i
$604$	6.54069	+	9.00249i	0.266137	+	0.366306i
$605$	3.06362	−	7.14867i	0.124554	−	0.290635i
$606$	−6.08955	−	0.542162i	−0.247371	−	0.0220238i
$607$	−23.2173	+	23.2173i	−0.942362	+	0.942362i	−0.998427	−	0.0560654i	$-0.982144\pi$
$607$	−23.2173	+	23.2173i	−0.942362	+	0.942362i	0.0560654	+	0.998427i	$0.482144\pi$
$608$	−5.12077	+	0.811051i	−0.207675	+	0.0328925i
$609$	3.23692	+	14.1192i	0.131166	+	0.572139i
$610$	9.52979	−	3.81204i	0.385850	−	0.154345i
$611$	26.1121	−	8.48435i	1.05638	−	0.343240i
$612$	0.368274	−	17.9488i	0.0148866	−	0.725539i
$613$	19.5715	−	9.97216i	0.790484	−	0.402772i	−0.0116379	−	0.999932i	$-0.503705\pi$
$613$	19.5715	−	9.97216i	0.790484	−	0.402772i	0.802122	+	0.597161i	$0.203705\pi$
$614$	10.1339	+	31.1890i	0.408972	+	1.25869i
$615$	−16.8264	+	11.6574i	−0.678507	+	0.470072i
$616$	−2.44412	+	7.52224i	−0.0984766	+	0.303080i
$617$	1.00125	+	6.32162i	0.0403086	+	0.254499i	0.999611	−	0.0278814i	$-0.00887607\pi$
$617$	1.00125	+	6.32162i	0.0403086	+	0.254499i	−0.959303	+	0.282380i	$0.908876\pi$
$618$	−2.72038	+	10.8401i	−0.109430	+	0.436053i
$619$	14.0949	−	19.4000i	0.566524	−	0.779753i	−0.425614	−	0.904905i	$-0.639942\pi$
$619$	14.0949	−	19.4000i	0.566524	−	0.779753i	0.992138	+	0.125152i	$0.0399418\pi$
$620$	6.46190	+	10.8391i	0.259516	+	0.435307i
$621$	−4.60325	+	3.69276i	−0.184722	+	0.148185i
$622$	−1.61936	+	10.2243i	−0.0649306	+	0.409956i
$623$	−3.34426	−	1.70399i	−0.133985	−	0.0682688i
$624$	−5.26288	−	8.78935i	−0.210684	−	0.351856i
$625$	−13.6921	−	20.9171i	−0.547684	−	0.836685i
$626$			13.7188i			0.548313i
$627$	1.68038	+	24.5711i	0.0671079	+	0.981274i
$628$	16.2195	+	2.56892i	0.647230	+	0.102511i
$629$	39.0658	−	28.3830i	1.55766	−	1.13170i
$630$	19.3254	−	0.886567i	0.769944	−	0.0353217i
$631$	−23.7895	−	17.2841i	−0.947046	−	0.688069i	0.00306072	−	0.999995i	$-0.499026\pi$
$631$	−23.7895	−	17.2841i	−0.947046	−	0.688069i	−0.950106	+	0.311926i	$0.899026\pi$
$632$	−8.30741	−	8.30741i	−0.330451	−	0.330451i
$633$	7.16886	+	8.57013i	0.284937	+	0.340632i
$634$	17.9501	+	5.83235i	0.712891	+	0.231632i
$635$	−27.9563	+	1.85787i	−1.10941	+	0.0737271i
$636$	−6.09747	+	6.99269i	−0.241780	+	0.277278i
$637$	3.53606	+	6.93992i	0.140104	+	0.274970i
$638$	3.61078	+	7.08655i	0.142952	+	0.280559i
$639$	−16.8941	−	3.03226i	−0.668322	−	0.119954i
$640$	0.830479	+	2.07613i	0.0328275	+	0.0820661i
$641$	−18.3395	−	5.95888i	−0.724368	−	0.235362i	−0.0764522	−	0.997073i	$-0.524359\pi$
$641$	−18.3395	−	5.95888i	−0.724368	−	0.235362i	−0.647916	+	0.761712i	$0.724359\pi$
$642$	16.4757	−	13.7818i	0.650244	−	0.543925i
$643$	−2.50826	−	2.50826i	−0.0989163	−	0.0989163i	0.655917	−	0.754833i	$-0.272282\pi$
$643$	−2.50826	−	2.50826i	−0.0989163	−	0.0989163i	−0.754833	+	0.655917i	$0.772282\pi$
$644$	2.64978	+	1.92518i	0.104416	+	0.0758627i
$645$	16.8686	−	2.28502i	0.664200	−	0.0899727i
$646$	−25.1003	+	18.2365i	−0.987560	+	0.717504i
$647$	36.9778	+	5.85671i	1.45375	+	0.230251i	0.832789	−	0.553591i	$-0.186743\pi$
$647$	36.9778	+	5.85671i	1.45375	+	0.230251i	0.620960	+	0.783842i	$0.286743\pi$
$648$	1.04210	+	8.93946i	0.0409376	+	0.351175i
$649$		−	8.09547i		−	0.317775i
$650$	26.0152	+	14.0640i	1.02040	+	0.551634i
$651$	24.1851	−	14.4815i	0.947889	−	0.567576i
$652$	−5.83680	−	2.97400i	−0.228587	−	0.116471i
$653$	−0.348209	+	2.19851i	−0.0136265	+	0.0860342i	−0.993564	−	0.113269i	$-0.963868\pi$
$653$	−0.348209	+	2.19851i	−0.0136265	+	0.0860342i	0.979938	+	0.199303i	$0.0638678\pi$
$654$	1.89664	−	4.44926i	0.0741647	−	0.173980i
$655$	−2.41455	+	26.5420i	−0.0943442	+	1.03708i
$656$	−3.10665	+	4.27594i	−0.121294	+	0.166947i
$657$	−7.89200	−	26.0991i	−0.307896	−	1.01822i
$658$	2.09419	+	13.2222i	0.0816401	+	0.515456i
$659$	−4.81311	+	14.8132i	−0.187492	+	0.577041i	−0.999982	−	0.00593344i	$-0.998111\pi$
$659$	−4.81311	+	14.8132i	−0.187492	+	0.577041i	0.812490	+	0.582975i	$0.198111\pi$
$660$	10.1732	−	3.05489i	0.395993	−	0.118912i
$661$	−0.225919	−	0.695307i	−0.00878723	−	0.0270443i	0.946567	−	0.322508i	$-0.104526\pi$
$661$	−0.225919	−	0.695307i	−0.00878723	−	0.0270443i	−0.955354	+	0.295464i	$0.904526\pi$
$662$	−28.2773	+	14.4080i	−1.09903	+	0.559984i
$663$	−51.9401	−	32.5665i	−2.01719	−	1.26478i
$664$	11.4851	−	3.73173i	0.445708	−	0.144819i
$665$	−21.4020	−	25.6856i	−0.829933	−	0.996043i
$666$	−17.4650	+	16.7627i	−0.676755	+	0.649542i
$667$	3.25301	−	0.515226i	0.125957	−	0.0199496i
$668$	−12.0192	+	12.0192i	−0.465037	+	0.465037i
$669$	−0.835468	+	9.38397i	−0.0323011	+	0.362805i
$670$	−0.228662	−	1.00629i	−0.00883398	−	0.0388764i
$671$	−7.39961	−	10.1847i	−0.285659	−	0.393176i
$672$	4.63420	−	1.86409i	0.178768	−	0.0719088i
$673$	−6.83769	+	13.4197i	−0.263574	+	0.517292i	−0.984427	−	0.175796i	$-0.943750\pi$
$673$	−6.83769	+	13.4197i	−0.263574	+	0.517292i	0.720853	+	0.693088i	$0.243750\pi$
$674$	−16.1131			−0.620652
$675$	−15.7588	−	20.6557i	−0.606557	−	0.795040i
$676$	−21.9835			−0.845520
$677$	−10.5178	+	20.6424i	−0.404233	+	0.793351i	−0.999952	−	0.00984177i	$-0.996867\pi$
$677$	−10.5178	+	20.6424i	−0.404233	+	0.793351i	0.595719	+	0.803193i	$0.296867\pi$
$678$	−7.42791	+	2.98785i	−0.285267	+	0.114748i
$679$	−11.2023	−	15.4186i	−0.429904	−	0.591712i
$680$	10.0684	+	8.81362i	0.386107	+	0.337987i
$681$	3.01394	−	33.8525i	0.115494	−	1.29723i
$682$	10.9443	−	10.9443i	0.419080	−	0.419080i
$683$	−4.28854	+	0.679239i	−0.164097	+	0.0259903i	−0.237942	−	0.971279i	$-0.576473\pi$
$683$	−4.28854	+	0.679239i	−0.164097	+	0.0259903i	0.0738455	+	0.997270i	$0.476473\pi$
$684$	11.2215	−	10.7703i	0.429065	−	0.411812i
$685$	23.6748	−	37.5979i	0.904567	−	1.43654i
$686$	15.5874	−	5.06466i	0.595130	−	0.193370i
$687$	25.6732	+	16.0971i	0.979495	+	0.614144i
$688$	3.91618	−	1.99539i	0.149303	−	0.0760736i
$689$	9.79031	+	30.1315i	0.372981	+	1.14792i
$690$	0.0986918	−	4.39753i	0.00375713	−	0.167411i
$691$	−9.14266	+	28.1382i	−0.347803	+	1.07043i	0.612263	+	0.790654i	$0.290259\pi$
$691$	−9.14266	+	28.1382i	−0.347803	+	1.07043i	−0.960066	+	0.279774i	$0.909741\pi$
$692$	−1.06212	−	6.70597i	−0.0403758	−	0.254923i
$693$	−6.86790	−	22.7124i	−0.260890	−	0.862772i
$694$	14.0633	−	19.3564i	0.533834	−	0.734759i
$695$	−14.0602	+	16.0620i	−0.533332	+	0.609265i
$696$	1.96968	−	4.62058i	0.0746603	−	0.175143i
$697$	−4.94780	+	31.2392i	−0.187411	+	1.18327i
$698$	−22.1821	−	11.3024i	−0.839606	−	0.427801i
$699$	43.1276	−	25.8239i	1.63124	−	0.976750i
$700$	−8.75722	+	11.4557i	−0.330992	+	0.432984i
$701$		−	19.5558i		−	0.738612i	−0.929308	−	0.369306i	$-0.879595\pi$
$701$		−	19.5558i		−	0.738612i	0.929308	−	0.369306i	$-0.120405\pi$
$702$	28.0188	+	12.6293i	1.05750	+	0.476662i
$703$	41.3208	+	6.54457i	1.55844	+	0.246833i
$704$	2.21880	−	1.61205i	0.0836243	−	0.0607566i
$705$	12.9946	−	12.4242i	0.489407	−	0.467922i
$706$	−13.6828	−	9.94116i	−0.514960	−	0.374140i
$707$	−7.19787	−	7.19787i	−0.270704	−	0.270704i
$708$	−3.92151	+	3.28032i	−0.147379	+	0.123282i
$709$	21.2009	+	6.88858i	0.796216	+	0.258706i	0.678749	−	0.734371i	$-0.262523\pi$
$709$	21.2009	+	6.88858i	0.796216	+	0.258706i	0.117467	+	0.993077i	$0.462523\pi$
$710$	9.82864	−	8.18952i	0.368862	−	0.307347i
$711$	34.6910	+	6.22654i	1.30101	+	0.233514i
$712$	0.590863	+	1.15963i	0.0221435	+	0.0434591i
$713$	−2.90979	−	5.71079i	−0.108973	−	0.213871i
$714$	19.6451	−	22.5293i	0.735198	−	0.843138i
$715$	8.89665	−	35.1645i	0.332716	−	1.31508i
$716$	8.92277	+	2.89918i	0.333460	+	0.108348i
$717$	6.28201	+	7.50992i	0.234606	+	0.280463i
$718$	−3.84337	−	3.84337i	−0.143433	−	0.143433i
$719$	2.20624	+	1.60292i	0.0822787	+	0.0597790i	0.628164	−	0.778081i	$-0.283807\pi$
$719$	2.20624	+	1.60292i	0.0822787	+	0.0597790i	−0.545885	+	0.837860i	$0.683807\pi$
$720$	−5.60205	−	3.69013i	−0.208776	−	0.137523i
$721$	−15.0547	+	10.9379i	−0.560667	+	0.407348i
$722$	−7.78310	−	1.23272i	−0.289657	−	0.0458772i
$723$	−1.66592	−	24.3596i	−0.0619561	−	0.905942i
$724$		−	15.2068i		−	0.565155i
$725$	1.91873	+	14.3723i	0.0712599	+	0.533775i
$726$	3.09489	+	5.16867i	0.114862	+	0.191827i
$727$	17.3015	+	8.81556i	0.641677	+	0.326951i	0.744375	−	0.667762i	$-0.232747\pi$
$727$	17.3015	+	8.81556i	0.641677	+	0.326951i	−0.102698	+	0.994713i	$0.532747\pi$
$728$	2.66836	−	16.8473i	0.0988959	−	0.624404i
$729$	−17.8815	−	20.2300i	−0.662276	−	0.749260i
$730$	18.6799	+	8.00542i	0.691374	+	0.296294i
$731$	15.4599	−	21.2787i	0.571805	−	0.787022i
$732$	−1.93519	+	7.71130i	−0.0715266	+	0.285018i
$733$	3.79691	+	23.9728i	0.140242	+	0.885454i	0.953026	+	0.302889i	$0.0979511\pi$
$733$	3.79691	+	23.9728i	0.140242	+	0.885454i	−0.812784	+	0.582566i	$0.802049\pi$
$734$	5.54024	−	17.0511i	0.204494	−	0.629368i
$735$	4.05785	+	3.08965i	0.149676	+	0.113963i
$736$	−0.350958	−	1.08014i	−0.0129365	−	0.0398144i
$737$	−1.12775	+	0.574618i	−0.0415412	+	0.0211663i
$738$	0.325265	−	15.8527i	0.0119732	−	0.583546i
$739$	6.13821	−	1.99443i	0.225798	−	0.0733662i	−0.193933	−	0.981015i	$-0.562124\pi$
$739$	6.13821	−	1.99443i	0.225798	−	0.0733662i	0.419731	+	0.907649i	$0.362124\pi$
$740$	−1.19645	−	18.0037i	−0.0439825	−	0.661828i
$741$	−11.8688	−	51.7708i	−0.436010	−	1.90185i
$742$	−15.2575	+	2.41654i	−0.560119	+	0.0887141i
$743$	−23.0403	+	23.0403i	−0.845265	+	0.845265i	−0.989538	−	0.144273i	$-0.953916\pi$
$743$	−23.0403	+	23.0403i	−0.845265	+	0.845265i	0.144273	+	0.989538i	$0.453916\pi$
$744$	−9.73619	−	0.866828i	−0.356946	−	0.0317794i
$745$	−23.0649	+	13.7506i	−0.845032	+	0.503782i
$746$	−15.0422	−	20.7038i	−0.550734	−	0.758020i
$747$	−21.8913	+	28.8664i	−0.800961	+	1.05617i
$748$	7.45099	−	14.6234i	0.272435	−	0.534684i
$749$	35.7645			1.30681
$750$	19.3437	+	0.905972i	0.706333	+	0.0330814i
$751$	31.4069			1.14606			0.573028	−	0.819536i	$-0.305769\pi$
$751$	31.4069			1.14606			0.573028	+	0.819536i	$0.305769\pi$
$752$	2.10742	−	4.13604i	0.0768497	−	0.150826i
$753$	11.1941	+	27.8290i	0.407936	+	1.01414i
$754$	−10.0819	−	13.8766i	−0.367162	−	0.505355i
$755$	21.3724	−	12.7416i	0.777821	−	0.463713i
$756$	−8.21914	+	12.5300i	−0.298927	+	0.455712i
$757$	6.35882	−	6.35882i	0.231115	−	0.231115i	−0.582043	−	0.813158i	$-0.697746\pi$
$757$	6.35882	−	6.35882i	0.231115	−	0.231115i	0.813158	+	0.582043i	$0.197746\pi$
$758$	9.60713	−	1.52162i	0.348947	−	0.0552678i
$759$	−5.25861	+	1.20557i	−0.190875	+	0.0437594i
$760$	0.768739	+	11.5676i	0.0278851	+	0.419601i
$761$	−8.94031	+	2.90488i	−0.324086	+	0.105302i	−0.466541	−	0.884499i	$-0.654500\pi$
$761$	−8.94031	+	2.90488i	−0.324086	+	0.105302i	0.142456	+	0.989801i	$0.454500\pi$
$762$	11.5288	−	18.3872i	0.417644	−	0.666098i
$763$	7.17538	−	3.65604i	0.259766	−	0.132358i
$764$	−3.98859	−	12.2756i	−0.144302	−	0.444116i
$765$	−39.8952	−	4.45618i	−1.44241	−	0.161114i
$766$	7.53686	−	23.1961i	0.272318	−	0.838108i
$767$	2.73115	+	17.2438i	0.0986161	+	0.622637i
$768$	−1.67996	−	0.421593i	−0.0606203	−	0.0152129i
$769$	−15.8011	+	21.7484i	−0.569803	+	0.784266i	−0.992531	−	0.121990i	$-0.961072\pi$
$769$	−15.8011	+	21.7484i	−0.569803	+	0.784266i	0.422728	+	0.906256i	$0.361072\pi$
$770$	16.2559	+	6.96661i	0.585823	+	0.251059i
$771$	−9.66471	−	4.11990i	−0.348066	−	0.148375i
$772$	0.866006	−	5.46774i	0.0311682	−	0.196788i
$773$	−19.3692	−	9.86911i	−0.696662	−	0.354967i	0.0695289	−	0.997580i	$-0.477850\pi$
$773$	−19.3692	−	9.86911i	−0.696662	−	0.354967i	−0.766191	+	0.642613i	$0.777850\pi$
$774$	−6.22592	+	11.6233i	−0.223786	+	0.417789i
$775$	25.4463	−	12.1941i	0.914056	−	0.438023i
$776$			6.60858i			0.237234i
$777$	−40.2124	+	2.75007i	−1.44261	+	0.0986582i
$778$	−17.5587	−	2.78103i	−0.629511	−	0.0997048i
$779$	−22.1690	+	16.1067i	−0.794288	+	0.577084i
$780$	−20.6389	+	9.93921i	−0.738992	+	0.355881i
$781$	−12.6946	−	9.22316i	−0.454248	−	0.330031i
$782$	−4.80578	−	4.80578i	−0.171854	−	0.171854i
$783$	3.06523	+	14.7536i	0.109542	+	0.527251i
$784$	1.25241	+	0.406934i	0.0447291	+	0.0145334i
$785$	9.00643	−	35.5984i	0.321453	−	1.27056i
$786$	−15.5597	−	13.5677i	−0.554995	−	0.483943i
$787$	−8.50770	−	16.6973i	−0.303267	−	0.595194i	0.688205	−	0.725516i	$-0.258399\pi$
$787$	−8.50770	−	16.6973i	−0.303267	−	0.595194i	−0.991472	+	0.130322i	$0.958399\pi$
$788$	11.6128	+	22.7914i	0.413689	+	0.811911i
$789$	31.1720	+	27.1813i	1.10975	+	0.967678i
$790$	−20.1825	+	16.8166i	−0.718060	+	0.598309i
$791$	−12.6782	−	4.11941i	−0.450786	−	0.146469i
$792$	−2.70251	+	7.77127i	−0.0960294	+	0.276140i
$793$	19.1976	+	19.1976i	0.681725	+	0.681725i
$794$	15.5659	+	11.3093i	0.552412	+	0.401351i
$795$	14.3366	+	14.9949i	0.508467	+	0.531813i
$796$	−0.0621591	+	0.0451612i	−0.00220317	+	0.00160070i
$797$	47.5041	+	7.52391i	1.68268	+	0.266511i	0.923285	−	0.384116i	$-0.125494\pi$
$797$	47.5041	+	7.52391i	1.68268	+	0.266511i	0.759398	+	0.650627i	$0.225494\pi$
$798$	25.8370	−	1.76696i	0.914622	−	0.0625497i
$799$		−	27.7786i		−	0.982737i
$800$	4.79151	−	1.42879i	0.169405	−	0.0505153i
$801$	−3.44181	−	1.84358i	−0.121610	−	0.0651397i
$802$	−27.7494	−	14.1390i	−0.979867	−	0.499267i
$803$	3.89939	−	24.6198i	0.137607	−	0.868814i
$804$	0.735318	+	0.313453i	0.0259327	+	0.0110546i
$805$	4.82392	−	5.51072i	0.170021	−	0.194227i
$806$	−19.6197	+	27.0043i	−0.691076	+	0.951184i
$807$	−23.3478	−	5.85925i	−0.821883	−	0.206255i
$808$	0.552168	+	3.48625i	0.0194252	+	0.122646i
$809$	5.14657	−	15.8395i	0.180944	−	0.556887i	−0.818911	−	0.573920i	$-0.805422\pi$
$809$	5.14657	−	15.8395i	0.180944	−	0.556887i	0.999855	+	0.0170329i	$0.00542201\pi$
$810$	20.1182	−	0.509669i	0.706880	−	0.0179080i
$811$	6.03759	+	18.5818i	0.212008	+	0.652495i	0.999352	+	0.0359809i	$0.0114556\pi$
$811$	6.03759	+	18.5818i	0.212008	+	0.652495i	−0.787344	+	0.616514i	$0.788544\pi$
$812$	7.45167	−	3.79682i	0.261502	−	0.133242i
$813$	13.8333	−	22.0627i	0.485156	−	0.773773i
$814$	−21.0475	+	6.83874i	−0.737714	+	0.239698i
$815$	−7.80513	+	12.3953i	−0.273402	+	0.434190i
$816$	−10.1029	+	2.31614i	−0.353671	+	0.0810812i
$817$	22.5070	−	3.56475i	0.787419	−	0.124715i
$818$	−11.0947	+	11.0947i	−0.387916	+	0.387916i
$819$	22.2914	+	46.0616i	0.778925	+	1.60952i
$820$	8.89262	+	7.78433i	0.310544	+	0.271841i
$821$	−7.95552	−	10.9498i	−0.277650	−	0.382152i	0.647304	−	0.762232i	$-0.275896\pi$
$821$	−7.95552	−	10.9498i	−0.277650	−	0.382152i	−0.924954	+	0.380080i	$0.875896\pi$
$822$	12.8436	+	31.9297i	0.447972	+	1.11367i
$823$	4.76071	−	9.34343i	0.165948	−	0.325691i	−0.793025	−	0.609189i	$-0.791495\pi$
$823$	4.76071	−	9.34343i	0.165948	−	0.325691i	0.958973	+	0.283498i	$0.0914949\pi$
$824$	6.45260			0.224787
$825$	−4.74196	−	23.2734i	−0.165094	−	0.810274i
$826$	−8.51258			−0.296191
$827$	−8.74498	+	17.1630i	−0.304093	+	0.596815i	−0.991597	−	0.129365i	$-0.958706\pi$
$827$	−8.74498	+	17.1630i	−0.304093	+	0.596815i	0.687504	+	0.726180i	$0.258706\pi$
$828$	2.71480	+	2.05881i	0.0943457	+	0.0715485i
$829$	18.5685	+	25.5573i	0.644909	+	0.887641i	0.998865	−	0.0476205i	$-0.0151638\pi$
$829$	18.5685	+	25.5573i	0.644909	+	0.887641i	−0.353956	+	0.935262i	$0.615164\pi$
$830$	−5.98344	−	26.3318i	−0.207688	−	0.913990i
$831$	−3.12939	−	0.278615i	−0.108557	−	0.00966503i
$832$	−4.18231	+	4.18231i	−0.144996	+	0.144996i
$833$	7.78338	−	1.23277i	0.269678	−	0.0427128i
$834$	−3.69489	−	16.1168i	−0.127943	−	0.558080i
$835$	24.3304	+	29.2001i	0.841987	+	1.01051i
$836$	13.5233	−	4.39399i	0.467713	−	0.151969i
$837$	25.4625	−	14.5453i	0.880112	−	0.502758i
$838$	−3.06981	+	1.56415i	−0.106045	+	0.0540325i
$839$	−12.7405	−	39.2113i	−0.439852	−	1.35373i	−0.888032	−	0.459782i	$-0.847927\pi$
$839$	−12.7405	−	39.2113i	−0.439852	−	1.35373i	0.448179	−	0.893944i	$-0.352073\pi$
$840$	−3.21229	−	10.6974i	−0.110835	−	0.369095i
$841$	−6.36272	+	19.5824i	−0.219404	+	0.675256i
$842$	−2.11165	−	13.3324i	−0.0727722	−	0.459466i
$843$	−9.66199	+	38.5009i	−0.332777	+	1.32604i
$844$	3.79170	−	5.21883i	0.130516	−	0.179640i
$845$	−4.45343	+	48.9545i	−0.153202	+	1.68409i
$846$	1.89589	+	13.7963i	0.0651820	+	0.474327i
$847$	−1.56916	+	9.90726i	−0.0539169	+	0.340418i
$848$	4.77269	+	2.43181i	0.163895	+	0.0835086i
$849$	−2.53151	−	4.22779i	−0.0868812	−	0.145097i
$850$	21.6665	−	20.6357i	0.743154	−	0.707798i
$851$			9.16443i			0.314153i
$852$	0.676131	+	9.88661i	0.0231639	+	0.338710i
$853$	−18.4859	−	2.92787i	−0.632944	−	0.100248i	−0.168285	−	0.985738i	$-0.553823\pi$
$853$	−18.4859	−	2.92787i	−0.632944	−	0.100248i	−0.464659	+	0.885490i	$0.653823\pi$
$854$	−10.7094	+	7.78087i	−0.366470	+	0.266256i
$855$	−21.7108	−	27.1707i	−0.742493	−	0.929219i
$856$	−10.0330	−	7.28939i	−0.342920	−	0.249146i
$857$	−19.8211	−	19.8211i	−0.677078	−	0.677078i	0.282260	−	0.959338i	$-0.408916\pi$
$857$	−19.8211	−	19.8211i	−0.677078	−	0.677078i	−0.959338	+	0.282260i	$0.908916\pi$
$858$	18.0272	+	21.5508i	0.615437	+	0.735734i
$859$	−35.8942	−	11.6627i	−1.22469	−	0.397927i	−0.375904	−	0.926659i	$-0.622668\pi$
$859$	−35.8942	−	11.6627i	−1.22469	−	0.397927i	−0.848789	+	0.528732i	$0.822668\pi$
$860$	−3.65014	−	9.12505i	−0.124469	−	0.311162i
$861$	17.3508	−	19.8983i	0.591315	−	0.678131i
$862$	12.6740	+	24.8742i	0.431679	+	0.847217i
$863$	−11.5537	−	22.6754i	−0.393292	−	0.771879i	0.606438	−	0.795131i	$-0.292598\pi$
$863$	−11.5537	−	22.6754i	−0.393292	−	0.771879i	−0.999730	+	0.0232522i	$0.992598\pi$
$864$	4.85953	−	1.83984i	0.165324	−	0.0625925i
$865$	−15.1485	+	1.00671i	−0.515065	+	0.0342292i
$866$	−2.48379	−	0.807033i	−0.0844027	−	0.0274241i
$867$	−24.9906	+	20.9045i	−0.848725	+	0.709954i
$868$	−11.5082	−	11.5082i	−0.390614	−	0.390614i
$869$	26.0675	+	18.9392i	0.884280	+	0.642467i
$870$	−9.89043	−	5.32225i	−0.335317	−	0.180441i
$871$	2.20831	−	1.60443i	0.0748258	−	0.0543641i
$872$	−2.75806	−	0.436834i	−0.0933998	−	0.0147931i
$873$	−11.3218	−	16.2750i	−0.383185	−	0.550826i
$874$		−	5.88827i		−	0.199174i
$875$	23.7363	+	21.8219i	0.802434	+	0.737715i
$876$	−13.5061	+	8.08714i	−0.456327	+	0.273239i
$877$	30.3080	+	15.4427i	1.02343	+	0.521463i	0.883368	−	0.468679i	$-0.155270\pi$
$877$	30.3080	+	15.4427i	1.02343	+	0.521463i	0.140061	+	0.990143i	$0.455270\pi$
$878$	−1.72542	+	10.8939i	−0.0582302	+	0.367651i
$879$	−9.07195	+	21.2815i	−0.305989	+	0.717808i
$880$	−3.14035	−	5.26756i	−0.105861	−	0.177569i
$881$	−27.1879	+	37.4210i	−0.915985	+	1.26074i	0.0490965	+	0.998794i	$0.484366\pi$
$881$	−27.1879	+	37.4210i	−0.915985	+	1.26074i	−0.965081	+	0.261951i	$0.915634\pi$
$882$	−3.78150	+	1.14347i	−0.127330	+	0.0385027i
$883$	−4.58634	−	28.9570i	−0.154343	−	0.974480i	−0.936313	−	0.351165i	$-0.885785\pi$
$883$	−4.58634	−	28.9570i	−0.154343	−	0.974480i	0.781971	−	0.623315i	$-0.214215\pi$
$884$	−10.9376	+	33.6624i	−0.367870	+	1.13219i
$885$	6.51043	+	9.39722i	0.218846	+	0.315884i
$886$	0.577651	+	1.77783i	0.0194065	+	0.0597272i
$887$	−22.3947	+	11.4107i	−0.751940	+	0.383133i	−0.787564	−	0.616233i	$-0.788658\pi$
$887$	−22.3947	+	11.4107i	−0.751940	+	0.383133i	0.0356241	+	0.999365i	$0.488658\pi$
$888$	11.8413	+	7.42447i	0.397367	+	0.249149i
$889$	34.3666	−	11.1664i	1.15262	−	0.374509i
$890$	2.70205	−	1.08086i	0.0905730	−	0.0362304i
$891$	−6.65822	−	23.7683i	−0.223059	−	0.796270i
$892$	5.37230	−	0.850889i	0.179878	−	0.0284899i
$893$	17.0179	−	17.0179i	0.569481	−	0.569481i
$894$	1.84456	−	20.7181i	0.0616913	−	0.692916i
$895$	8.26369	−	19.2826i	0.276225	−	0.644545i
$896$	−1.69511	−	2.33312i	−0.0566297	−	0.0779441i
$897$	10.7944	−	4.34201i	0.360415	−	0.144976i
$898$	−9.31762	+	18.2869i	−0.310933	+	0.610240i
$899$	−16.3657			−0.545828
$900$	−9.35232	+	11.7275i	−0.311744	+	0.390916i
$901$	32.0545			1.06789
$902$	6.58084	−	12.9156i	0.219118	−	0.430043i
$903$	−20.3683	+	8.19310i	−0.677816	+	0.272649i
$904$	2.71701	+	3.73964i	0.0903664	+	0.124379i
$905$	−33.8635	−	3.08059i	−1.12566	−	0.102402i
$906$	−1.70921	+	19.1978i	−0.0567846	+	0.637803i
$907$	38.3276	−	38.3276i	1.27265	−	1.27265i	0.327952	−	0.944694i	$-0.393642\pi$
$907$	38.3276	−	38.3276i	1.27265	−	1.27265i	0.944694	−	0.327952i	$-0.106358\pi$
$908$	−19.3805	+	3.06957i	−0.643164	+	0.101867i
$909$	−7.33247	−	7.63967i	−0.243203	−	0.253392i
$910$	−36.9763	−	9.35503i	−1.22575	−	0.310116i
$911$	28.3746	−	9.21947i	0.940093	−	0.305455i	0.201409	−	0.979507i	$-0.435448\pi$
$911$	28.3746	−	9.21947i	0.940093	−	0.305455i	0.738683	+	0.674053i	$0.235448\pi$
$912$	−7.60818	−	4.77033i	−0.251932	−	0.157961i
$913$	−29.5101	+	15.0361i	−0.976640	+	0.497623i
$914$	−4.82892	−	14.8619i	−0.159727	−	0.491588i
$915$	16.7801	+	5.87157i	0.554732	+	0.194108i
$916$	5.40628	−	16.6388i	0.178628	−	0.549762i
$917$	−5.37713	−	33.9499i	−0.177569	−	1.12112i
$918$	20.9124	−	23.0122i	0.690213	−	0.759515i
$919$	−8.11678	+	11.1718i	−0.267748	+	0.368523i	−0.921628	−	0.388075i	$-0.873140\pi$
$919$	−8.11678	+	11.1718i	−0.267748	+	0.368523i	0.653880	+	0.756598i	$0.273140\pi$
$920$	−2.47642	+	0.562724i	−0.0816453	+	0.0185525i
$921$	−22.2739	+	52.2515i	−0.733951	+	1.72175i
$922$	2.18253	−	13.7799i	0.0718777	−	0.453818i
$923$	30.1518	+	15.3631i	0.992457	+	0.505682i
$924$	−11.7535	+	7.03773i	−0.386661	+	0.231524i
$925$	−40.3342	−	0.982837i	−1.32618	−	0.0323155i
$926$		−	32.9648i		−	1.08329i
$927$	−15.8909	+	11.0546i	−0.521926	+	0.363080i
$928$	−2.86426	−	0.453655i	−0.0940240	−	0.0148919i
$929$	0.637117	−	0.462892i	0.0209031	−	0.0151870i	−0.577285	−	0.816543i	$-0.695888\pi$
$929$	0.637117	−	0.462892i	0.0209031	−	0.0151870i	0.598188	+	0.801356i	$0.295888\pi$
$930$	−3.90268	+	21.5057i	−0.127974	+	0.705198i
$931$	5.52351	+	4.01306i	0.181026	+	0.131523i
$932$	−20.5218	−	20.5218i	−0.672214	−	0.672214i
$933$	−13.7526	+	11.5039i	−0.450239	+	0.376622i
$934$	3.51708	+	1.14277i	0.115082	+	0.0373925i
$935$	−31.0550	−	19.5548i	−1.01561	−	0.639511i
$936$	3.13471	−	17.4650i	0.102461	−	0.570860i
$937$	1.89949	+	3.72797i	0.0620538	+	0.121787i	0.919950	−	0.392035i	$-0.128229\pi$
$937$	1.89949	+	3.72797i	0.0620538	+	0.121787i	−0.857896	+	0.513823i	$0.828229\pi$
$938$	0.604224	+	1.18586i	0.0197286	+	0.0387196i
$939$	−15.6165	+	17.9093i	−0.509625	+	0.584447i
$940$	−8.78352	−	5.53084i	−0.286487	−	0.180396i
$941$	12.1196	+	3.93788i	0.395086	+	0.128371i	0.499821	−	0.866129i	$-0.333399\pi$
$941$	12.1196	+	3.93788i	0.395086	+	0.128371i	−0.104734	+	0.994500i	$0.533399\pi$
$942$	18.2496	+	21.8168i	0.594604	+	0.710829i
$943$	−4.24454	−	4.24454i	−0.138221	−	0.138221i
$944$	2.38803	+	1.73500i	0.0777236	+	0.0564695i
$945$	26.2377	+	20.8413i	0.853512	+	0.677968i
$946$	−9.75214	+	7.08535i	−0.317069	+	0.230364i
$947$	39.3427	+	6.23127i	1.27847	+	0.202489i	0.758486	−	0.651690i	$-0.225940\pi$
$947$	39.3427	+	6.23127i	1.27847	+	0.202489i	0.519980	+	0.854179i	$0.325940\pi$
$948$	−1.38839	−	20.3015i	−0.0450929	−	0.659362i
$949$			53.7570i			1.74503i
$950$	25.9153	+	0.631486i	0.840804	+	0.0204881i
$951$	16.7940	+	28.0470i	0.544581	+	0.909486i
$952$	−15.3768	−	7.83489i	−0.498366	−	0.253930i
$953$	4.01002	−	25.3183i	0.129897	−	0.820139i	−0.833590	−	0.552384i	$-0.813718\pi$
$953$	4.01002	−	25.3183i	0.129897	−	0.820139i	0.963487	−	0.267755i	$-0.0862819\pi$
$954$	−15.9199	+	2.18771i	−0.515427	+	0.0708299i
$955$	−28.1442	+	6.39528i	−0.910726	+	0.206946i
$956$	3.32263	−	4.57321i	0.107462	−	0.147908i
$957$	−3.35311	+	13.3614i	−0.108391	+	0.431913i
$958$	0.841500	+	5.31302i	0.0271876	+	0.171656i
$959$	−17.7077	+	54.4987i	−0.571811	+	1.75985i
$960$	−1.27916	+	3.65565i	−0.0412847	+	0.117985i
$961$	0.262130	+	0.806752i	0.00845579	+	0.0260243i
$962$	42.5251	−	21.6676i	1.37106	−	0.698592i
$963$	37.1965	+	0.763197i	1.19864	+	0.0245937i
$964$	−13.4069	+	4.35617i	−0.431807	+	0.140303i
$965$	−12.0005	−	3.03614i	−0.386311	−	0.0977368i
$966$	1.26768	+	5.52955i	0.0407871	+	0.177910i
$967$	3.74989	−	0.593924i	0.120588	−	0.0190993i	−0.0958486	−	0.995396i	$-0.530556\pi$
$967$	3.74989	−	0.593924i	0.120588	−	0.0190993i	0.216437	+	0.976297i	$0.430556\pi$
$968$	2.45946	−	2.45946i	0.0790499	−	0.0790499i
$969$	−53.5264	−	4.76554i	−1.71952	−	0.153091i
$970$	14.7165	+	1.33877i	0.472517	+	0.0429852i
$971$	−1.56008	−	2.14727i	−0.0500655	−	0.0689092i	0.783250	−	0.621707i	$-0.213560\pi$
$971$	−1.56008	−	2.14727i	−0.0500655	−	0.0689092i	−0.833316	+	0.552797i	$0.813560\pi$
$972$	−8.81562	+	12.8563i	−0.282761	+	0.412366i
$973$	12.4988	−	24.5303i	0.400694	−	0.786406i
$974$	−4.19638			−0.134461
$975$	17.9523	+	47.9737i	0.574934	+	1.53639i
$976$	4.59018			0.146928
$977$	−8.15001	+	15.9953i	−0.260742	+	0.511735i	−0.983849	−	0.179001i	$-0.942713\pi$
$977$	−8.15001	+	15.9953i	−0.260742	+	0.511735i	0.723107	+	0.690736i	$0.242713\pi$
$978$	−4.23429	−	10.5266i	−0.135398	−	0.336604i
$979$	−2.09807	−	2.88774i	−0.0670546	−	0.0922927i
$980$	1.15991	−	2.70653i	0.0370518	−	0.0864570i
$981$	7.54070	−	3.64931i	0.240756	−	0.116513i
$982$	22.3318	−	22.3318i	0.712635	−	0.712635i
$983$	39.4883	−	6.25433i	1.25948	−	0.199482i	0.509227	−	0.860632i	$-0.329931\pi$
$983$	39.4883	−	6.25433i	1.25948	−	0.199482i	0.750254	+	0.661150i	$0.229931\pi$
$984$	−8.92300	+	2.04565i	−0.284455	+	0.0652131i
$985$	53.1061	−	21.2431i	1.69210	−	0.676863i
$986$	−16.5046	+	5.36268i	−0.525614	+	0.170782i
$987$	−12.3173	+	19.6449i	−0.392065	+	0.625303i
$988$	−27.3230	+	13.9218i	−0.869260	+	0.442910i
$989$	1.54254	+	4.74745i	0.0490499	+	0.150960i
$990$	16.7582	+	7.59245i	0.532609	+	0.241304i
$991$	−12.5601	+	38.6560i	−0.398984	+	1.22795i	0.526831	+	0.849970i	$0.323380\pi$
$991$	−12.5601	+	38.6560i	−0.398984	+	1.22795i	−0.925815	+	0.377977i	$0.876620\pi$
$992$	0.882826	+	5.57395i	0.0280298	+	0.176973i
$993$	−53.3158	−	13.3799i	−1.69193	−	0.424597i
$994$	−9.69837	+	13.3487i	−0.307614	+	0.423394i
$995$	0.0879760	+	0.147569i	0.00278903	+	0.00467825i
$996$	19.2412	+	8.20219i	0.609681	+	0.259896i
$997$	−1.77985	+	11.2375i	−0.0563684	+	0.355896i	0.943342	+	0.331823i	$0.107664\pi$
$997$	−1.77985	+	11.2375i	−0.0563684	+	0.355896i	−0.999710	+	0.0240735i	$0.992336\pi$
$998$	9.13605	+	4.65505i	0.289197	+	0.147353i
$999$	−41.8812	+	2.00207i	−1.32506	+	0.0633427i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.l.a.83.9	yes	80
3.2	odd	2	inner	150.2.l.a.83.4	yes	80
5.2	odd	4		750.2.l.c.107.7		80
5.3	odd	4		750.2.l.a.107.4		80
5.4	even	2		750.2.l.b.143.2		80
15.2	even	4		750.2.l.c.107.4		80
15.8	even	4		750.2.l.a.107.7		80
15.14	odd	2		750.2.l.b.143.7		80
25.3	odd	20		750.2.l.b.257.7		80
25.4	even	10		750.2.l.a.743.7		80
25.21	even	5		750.2.l.c.743.4		80
25.22	odd	20	inner	150.2.l.a.47.4	✓	80
75.29	odd	10		750.2.l.a.743.4		80
75.47	even	20	inner	150.2.l.a.47.9	yes	80
75.53	even	20		750.2.l.b.257.2		80
75.71	odd	10		750.2.l.c.743.7		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.l.a.47.4	✓	80	25.22	odd	20	inner
150.2.l.a.47.9	yes	80	75.47	even	20	inner
150.2.l.a.83.4	yes	80	3.2	odd	2	inner
150.2.l.a.83.9	yes	80	1.1	even	1	trivial
750.2.l.a.107.4		80	5.3	odd	4
750.2.l.a.107.7		80	15.8	even	4
750.2.l.a.743.4		80	75.29	odd	10
750.2.l.a.743.7		80	25.4	even	10
750.2.l.b.143.2		80	5.4	even	2
750.2.l.b.143.7		80	15.14	odd	2
750.2.l.b.257.2		80	75.53	even	20
750.2.l.b.257.7		80	25.3	odd	20
750.2.l.c.107.4		80	15.2	even	4
750.2.l.c.107.7		80	5.2	odd	4
750.2.l.c.743.4		80	25.21	even	5
750.2.l.c.743.7		80	75.71	odd	10

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:	\( N \)	\(=\)	\( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	150.l (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.453990 - 0.891007i) q^{2} +(1.60692 - 0.646378i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-1.92065 + 1.14503i) q^{5} +(0.153600 - 1.72523i) q^{6} +(2.03922 - 2.03922i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(2.16439 - 2.07736i) q^{9} +O(q^{10})\)	\(q+(0.453990 - 0.891007i) q^{2} +(1.60692 - 0.646378i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-1.92065 + 1.14503i) q^{5} +(0.153600 - 1.72523i) q^{6} +(2.03922 - 2.03922i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(2.16439 - 2.07736i) q^{9} +(0.148273 + 2.23115i) q^{10} +(2.60836 - 0.847507i) q^{11} +(-1.46746 - 0.920095i) q^{12} +(-5.27002 + 2.68521i) q^{13} +(-0.891173 - 2.74275i) q^{14} +(-2.34621 + 3.08144i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(0.936136 + 5.91053i) q^{17} +(-0.868327 - 2.87159i) q^{18} +(-3.04743 + 4.19443i) q^{19} +(2.05528 + 0.880807i) q^{20} +(1.95876 - 4.59498i) q^{21} +(0.429036 - 2.70883i) q^{22} +(-1.01194 - 0.515607i) q^{23} +(-1.48602 + 0.889798i) q^{24} +(2.37780 - 4.39841i) q^{25} +5.91469i q^{26} +(2.13524 - 4.73716i) q^{27} +(-2.84839 - 0.451141i) q^{28} +(-2.34612 + 1.70456i) q^{29} +(1.68043 + 3.48944i) q^{30} +(4.56563 + 3.31712i) q^{31} +(0.707107 + 0.707107i) q^{32} +(3.64362 - 3.04786i) q^{33} +(5.69132 + 1.84922i) q^{34} +(-1.58166 + 6.25161i) q^{35} +(-2.95281 - 0.529988i) q^{36} +(-3.66336 - 7.18975i) q^{37} +(2.35376 + 4.61952i) q^{38} +(-6.73285 + 7.72135i) q^{39} +(1.71788 - 1.43139i) q^{40} +(5.02666 + 1.63326i) q^{41} +(-3.20490 - 3.83135i) q^{42} +(-3.10789 - 3.10789i) q^{43} +(-2.21880 - 1.61205i) q^{44} +(-1.77840 + 6.46818i) q^{45} +(-0.918819 + 0.667561i) q^{46} +(-4.58484 - 0.726167i) q^{47} +(0.118176 + 1.72801i) q^{48} -1.31687i q^{49} +(-2.83952 - 4.11548i) q^{50} +(5.32473 + 8.89266i) q^{51} +(5.27002 + 2.68521i) q^{52} +(0.837944 - 5.29057i) q^{53} +(-3.25146 - 4.05314i) q^{54} +(-4.03933 + 4.61442i) q^{55} +(-1.69511 + 2.33312i) q^{56} +(-2.18579 + 8.70992i) q^{57} +(0.453655 + 2.86426i) q^{58} +(0.912145 - 2.80729i) q^{59} +(3.87201 + 0.0868978i) q^{60} +(-1.41844 - 4.36552i) q^{61} +(5.02833 - 2.56206i) q^{62} +(0.177478 - 8.64987i) q^{63} +(0.951057 - 0.309017i) q^{64} +(7.04723 - 11.1917i) q^{65} +(-1.06150 - 4.63019i) q^{66} +(-0.455818 + 0.0721944i) q^{67} +(4.23147 - 4.23147i) q^{68} +(-1.95938 - 0.174447i) q^{69} +(4.85217 + 4.24744i) q^{70} +(-3.36294 - 4.62869i) q^{71} +(-1.81277 + 2.39037i) q^{72} +(4.12620 - 8.09812i) q^{73} -8.06924 q^{74} +(0.977903 - 8.60487i) q^{75} +5.18460 q^{76} +(3.59077 - 7.04728i) q^{77} +(3.82312 + 9.50443i) q^{78} +(6.90557 + 9.50470i) q^{79} +(-0.495476 - 2.18048i) q^{80} +(0.369168 - 8.99243i) q^{81} +(3.73730 - 3.73730i) q^{82} +(-11.9275 + 1.88912i) q^{83} +(-4.86875 + 1.11619i) q^{84} +(-8.56574 - 10.2802i) q^{85} +(-4.18011 + 1.35820i) q^{86} +(-2.66824 + 4.25557i) q^{87} +(-2.44367 + 1.24511i) q^{88} +(-0.402182 - 1.23779i) q^{89} +(4.95581 + 4.52105i) q^{90} +(-5.27101 + 16.2225i) q^{91} +(0.177666 + 1.12174i) q^{92} +(9.48072 + 2.37923i) q^{93} +(-2.72849 + 3.75545i) q^{94} +(1.05030 - 11.5455i) q^{95} +(1.59332 + 0.679206i) q^{96} +(1.03381 - 6.52722i) q^{97} +(-1.17334 - 0.597845i) q^{98} +(3.88493 - 7.25283i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) \) 80 * q + 4 * q^3 + 4 * q^7	\( 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) \) 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Introduction

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